From df509316926d5cc80de4394257b9eb107a041212 Mon Sep 17 00:00:00 2001 From: Nolan Smyth Date: Tue, 29 Aug 2023 20:59:50 -0700 Subject: [PATCH 01/17] Adding mock roman comparison --- LensCalcPy/_modidx.py | 6 + LensCalcPy/ffp.py | 2 +- LensCalcPy/galaxy.py | 6 + LensCalcPy/interpolations/ut_interp_rho.pkl | Bin 14330 -> 34490 bytes LensCalcPy/pbh.py | 40 +- LensCalcPy/utils.py | 10 +- examples/expected_events_tess.ipynb | 530 +++++++++++---- examples/figures/diff_rate_M_MW.pdf | Bin 233198 -> 233217 bytes examples/hsc_ubo.ipynb | 81 ++- examples/mock_roman.ipynb | 714 ++++++++++++++++++++ nbs/00_pbh.ipynb | 121 ++-- nbs/01_ffp.ipynb | 22 +- nbs/04_utils.ipynb | 73 +- nbs/07_lens.ipynb | 4 + nbs/08_galaxy.ipynb | 10 + nbs/index.ipynb | 6 +- 16 files changed, 1344 insertions(+), 281 deletions(-) create mode 100644 examples/mock_roman.ipynb diff --git a/LensCalcPy/_modidx.py b/LensCalcPy/_modidx.py index 9d4ddfd..8b291df 100644 --- a/LensCalcPy/_modidx.py +++ b/LensCalcPy/_modidx.py @@ -53,6 +53,8 @@ 'LensCalcPy.galaxy.M31Model.rho_bulge': ('galaxy.html#m31model.rho_bulge', 'LensCalcPy/galaxy.py'), 'LensCalcPy.galaxy.M31Model.rho_disk': ('galaxy.html#m31model.rho_disk', 'LensCalcPy/galaxy.py'), 'LensCalcPy.galaxy.M31Model.rho_nucleus': ('galaxy.html#m31model.rho_nucleus', 'LensCalcPy/galaxy.py'), + 'LensCalcPy.galaxy.M31Model.velocity_dispersion_dm': ( 'galaxy.html#m31model.velocity_dispersion_dm', + 'LensCalcPy/galaxy.py'), 'LensCalcPy.galaxy.M31Model.velocity_dispersion_stars': ( 'galaxy.html#m31model.velocity_dispersion_stars', 'LensCalcPy/galaxy.py'), 'LensCalcPy.galaxy.MilkyWayModel': ('galaxy.html#milkywaymodel', 'LensCalcPy/galaxy.py'), @@ -75,6 +77,8 @@ 'LensCalcPy.galaxy.MilkyWayModel.rho_thin': ( 'galaxy.html#milkywaymodel.rho_thin', 'LensCalcPy/galaxy.py'), 'LensCalcPy.galaxy.MilkyWayModel.rsf': ('galaxy.html#milkywaymodel.rsf', 'LensCalcPy/galaxy.py'), + 'LensCalcPy.galaxy.MilkyWayModel.velocity_dispersion_dm': ( 'galaxy.html#milkywaymodel.velocity_dispersion_dm', + 'LensCalcPy/galaxy.py'), 'LensCalcPy.galaxy.MilkyWayModel.velocity_dispersion_stars': ( 'galaxy.html#milkywaymodel.velocity_dispersion_stars', 'LensCalcPy/galaxy.py'), 'LensCalcPy.galaxy.MilkyWayModel.zthin': ('galaxy.html#milkywaymodel.zthin', 'LensCalcPy/galaxy.py')}, @@ -97,6 +101,8 @@ 'LensCalcPy/pbh.py'), 'LensCalcPy.pbh.Pbh.d_upper_bound': ('pbh.html#pbh.d_upper_bound', 'LensCalcPy/pbh.py'), 'LensCalcPy.pbh.Pbh.differential_rate': ('pbh.html#pbh.differential_rate', 'LensCalcPy/pbh.py'), + 'LensCalcPy.pbh.Pbh.differential_rate_integrand': ( 'pbh.html#pbh.differential_rate_integrand', + 'LensCalcPy/pbh.py'), 'LensCalcPy.pbh.Pbh.differential_rate_integrand_m31': ( 'pbh.html#pbh.differential_rate_integrand_m31', 'LensCalcPy/pbh.py'), 'LensCalcPy.pbh.Pbh.differential_rate_integrand_mw': ( 'pbh.html#pbh.differential_rate_integrand_mw', diff --git a/LensCalcPy/ffp.py b/LensCalcPy/ffp.py index eddcf7c..da06fc6 100644 --- a/LensCalcPy/ffp.py +++ b/LensCalcPy/ffp.py @@ -110,7 +110,7 @@ def differential_rate_integrand(self, umin, d, t, mf, model, finite=False, v_dis v_disp = model.velocity_dispersion_stars(r) return 2 * (1 / (ut**2 - umin**2)**0.5 * #For FFP number density, use stellar density for 1 solar mass stars - model.density_stars(d) / (1 * v_disp**2) * + model.density_stars(d, self.l, self.b) / (1 * v_disp**2) * v_rad**4 * (htosec / kpctokm)**2 * np.exp(-(v_rad**2 / v_disp**2)) * 1) diff --git a/LensCalcPy/galaxy.py b/LensCalcPy/galaxy.py index 19bc7c1..09f9e47 100644 --- a/LensCalcPy/galaxy.py +++ b/LensCalcPy/galaxy.py @@ -149,6 +149,9 @@ def density_dm(self, d: float, # distance along line of sight in kpc def velocity_dispersion_stars(self, r, v_c: float = 30): #Take 30 km/s following table 2 of https://arxiv.org/pdf/2306.12464.pdf return v_c + + def velocity_dispersion_dm(self, r, v_c: float = 220): + return v_c # %% ../nbs/08_galaxy.ipynb 7 @@ -202,3 +205,6 @@ def density_dm(self, def 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--- a/LensCalcPy/pbh.py +++ b/LensCalcPy/pbh.py @@ -52,8 +52,6 @@ def __init__(self, self.l = l self.b = b - if mass < m_low_interp or mass > m_high_interp: - raise ValueError("PBH mass must be between 1e-16 and 1e-4 or a different interpolation function must be used for u_t") self.mass = mass if f_dm < 0 or f_dm > 1: raise ValueError("f_dm must be between 0 and 1") @@ -67,11 +65,25 @@ def __str__(self) -> str: return f"PBH population with mass={self.mass} and f_dm={self.f_dm}" __repr__ = __str__ + def differential_rate_integrand(self, umin, d, t, model, finite=False, v_disp=None): + r = model.dist_center(d, self.l, self.b) + ut = self.umin_upper_bound(d) if finite else self.u_t + if ut <= umin: + return 0 + v_rad = velocity_radial(d, self.mass, umin, t * htosec, ut) + if v_disp is None: + v_disp = model.velocity_dispersion_dm(r) + return 2 * (1 / (ut**2 - umin**2)**0.5 * + model.density_dm(d, self.l, self.b) / (self.mass * v_disp**2) * + v_rad**4 * (htosec / kpctokm)**2 * + np.exp(-(v_rad**2 / v_disp**2)) * + 1) + def differential_rate_integrand_mw(self, umin, d, t, finite=False): - return self.differential_rate_integrand(umin, d, t, dist_mw, density_mw, velocity_dispersion_mw, finite=finite) + return self.differential_rate_integrand(umin, d, t, self.mw_model, finite=finite) def differential_rate_integrand_m31(self, umin, d, t, finite=False): - return self.differential_rate_integrand(umin, d, t, dist_m31, density_m31, velocity_dispersion_m31, finite=finite) + return self.differential_rate_integrand(umin, d, t, self.m31_model, finite=finite) def differential_rate(self, t, integrand_func, finite=False): if finite: @@ -145,18 +157,28 @@ def rate_m31(self, finite=False): def rate_tot(self, finite=False): return self.rate_mw(finite=finite) + self.rate_m31(finite=finite) - def differential_rate_mw(self, t, finite=False): - return self.differential_rate(t, self.differential_rate_integrand_mw, finite=finite) + # def differential_rate_mw(self, t, finite=False): + # return self.differential_rate(t, self.differential_rate_integrand_mw, finite=finite) + + def differential_rate_mw(self, t, finite=True, v_disp=None): + def integrand_func(umin, d, t): + return self.differential_rate_integrand(umin, d, t, self.mw_model, finite=finite, v_disp=v_disp) + return self.differential_rate(t, integrand_func, finite=finite) - def differential_rate_m31(self, t, finite=False): - return self.differential_rate(t, self.differential_rate_integrand_m31, finite=finite) + # def differential_rate_m31(self, t, finite=False): + # return self.differential_rate(t, self.differential_rate_integrand_m31, finite=finite) + + def differential_rate_m31(self, t, finite=True, v_disp=None): + def integrand_func(umin, d, t): + return self.differential_rate_integrand(umin, d, t, self.m31_model, finite=finite, v_disp=v_disp) + return self.differential_rate(t, integrand_func, finite=finite) def umin_upper_bound(self, d): # return self.ut_interp(d, self.mass)[0] rho = rho_func(self.mass, d, self.ds) return self.ut_interp(rho, magnification(self.u_t)) - def differential_rate_total(self, t, finite=False): + def differential_rate_total(self, t, finite=True): return self.differential_rate_mw(t, finite=finite) + self.differential_rate_m31(t, finite=finite) def compute_differential_rate(self, ts, finite=False): diff --git a/LensCalcPy/utils.py b/LensCalcPy/utils.py index 7975ca0..31fb78c 100644 --- a/LensCalcPy/utils.py +++ b/LensCalcPy/utils.py @@ -243,17 +243,15 @@ def calc_ut_arr(m): #Ratio of angular extent of source and lens in plane of lens # rho == theta_s/theta_l rho_min = 0.1 -rho_max = 4.5 -rhos = np.linspace(rho_min, rho_max, 40) +# rho_max = 4.5 +rho_max = 10.1 + +rhos = np.linspace(rho_min, rho_max, 100) A_thresh_min = 1.01 A_thresh_max = 1.34 A_threshs = np.linspace(A_thresh_min, A_thresh_max, 20) -# u_ts_new = [u_t_finite_new(rho) for rho in rhos] -# ut_interp_rho = interp1d(rhos, u_ts_new) -# with open('../LensCalcPy/interpolations/ut_interp_rho.pkl', 'wb') as f: -# pickle.dump(ut_interp_rho, f) # %% ../nbs/04_utils.ipynb 15 def ut_func_new(rho, A_thresh): diff --git a/examples/expected_events_tess.ipynb b/examples/expected_events_tess.ipynb index 03ce3b0..5545d6b 100644 --- a/examples/expected_events_tess.ipynb +++ b/examples/expected_events_tess.ipynb @@ -206,7 +206,8 @@ " \"tess_27_1\": {\"l\": fov_galac_dict['c_27_1'][0], \"b\": fov_galac_dict['c_27_1'][1], \"source_dist\": 8.5, \"obs_time\": 27.4*24, \"cadence\": 10/60, \"survey_area\": 1.5, \"n_sources\": n_sources_tess_27/4, \"efficiency\": tess_efficiency, \"use_mw_source\":True, \"A_t\": 1.01},\n", " \"tess_27_2\": {\"l\": fov_galac_dict['c_27_2'][0], \"b\": fov_galac_dict['c_27_2'][1], \"source_dist\": 8.5, \"obs_time\": 27.4*24, \"cadence\": 10/60, \"survey_area\": 1.5, \"n_sources\": n_sources_tess_27/4, \"efficiency\": tess_efficiency, \"use_mw_source\":True, \"A_t\": 1.01},\n", " \"tess_27_3\": {\"l\": fov_galac_dict['c_27_3'][0], \"b\": fov_galac_dict['c_27_3'][1], \"source_dist\": 8.5, \"obs_time\": 27.4*24, \"cadence\": 10/60, \"survey_area\": 1.5, \"n_sources\": n_sources_tess_27/4, \"efficiency\": tess_efficiency, \"use_mw_source\":True, \"A_t\": 1.01},\n", - " \"tess_27_4\": {\"l\": fov_galac_dict['c_27_4'][0], \"b\": fov_galac_dict['c_27_4'][1], \"source_dist\": 8.5, \"obs_time\": 27.4*24, \"cadence\": 10/60, \"survey_area\": 1.5, \"n_sources\": n_sources_tess_27/4, \"efficiency\": tess_efficiency, \"use_mw_source\":True, \"A_t\": 1.01},\n", + " # \"tess_27_4\": {\"l\": fov_galac_dict['c_27_4'][0], \"b\": fov_galac_dict['c_27_4'][1], \"source_dist\": 8.5, \"obs_time\": 27.4*24, \"cadence\": 10/60, \"survey_area\": 1.5, \"n_sources\": n_sources_tess_27/4, \"efficiency\": tess_efficiency, \"use_mw_source\":True, \"A_t\": 1.01},\n", + " \"tess_max_cad_test\": {\"l\": fov_galac_dict['c_27_4'][0], \"b\": fov_galac_dict['c_27_4'][1], \"source_dist\": 8.5, \"obs_time\": 27.4*24, \"cadence\": 3.3/60, \"survey_area\": 1.5, \"n_sources\": n_sources_tess_27/4, \"efficiency\": tess_efficiency, \"use_mw_source\":True, \"A_t\": 1.01},\n", " \n", "}" ] @@ -218,7 +219,7 @@ "outputs": [ { "data": { - "image/png": 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B3AQAABazrCacJKmzs1Pt7e36yle+klB3wOPx6Omnn872w2EBGRtPygyPTiRwTNPUuoqlVpu3Lwxq4Mawbo6O6eZoNIFyc3RMN0dMLSmx6dP3rLfa/mXgjE4bN8a3FW0fbTumpaVF+saP3W21/fV/OqajZwes7cX6cHN0TCVFNvV+8aNW25/8X736x3cv6uZItM1kI23/SkXjSaQv/u1b6pwicTHw25/QyrLox6z9pZP6057Tadv+TN1mK+F0+P3L+qMXT6Rt+9ufuMNKOIX6rul7wb60ba/dHLX+f3PETEoixBuNDYWRrERZ7P+xERSxERdFcaMn7MtKta1qWeKPWes+NpWXTXzVbKxcKvfOVckjPsbbbrZPvB92rl6hX3x4a3TkSIoRLfesmxgRsHPVCv2/9belHXXyyDZHwnb/8DP3xo16Sdyua2Ol1bZm1XJ1fK42Zbsim8368S1FEx7P/uLD1ugcaXykzviu2lQ5kRBZX1GmF3/5sWgbTbSJ3W/NyonEZtXyUvV+8XGrrSa1r1pearVdVlqsN7/0saS2sfYVZRNtJelY0xMyZY6PtIpeFx0VZVrv3ZgXf/kxjcXaTBrBtbKsOKHtP37+QQ2Pjk0aYWWOt03c7l/9tEs3RsaS2knS8iWJ2/3/PnOvBoaGrZFmo3Gj1JaXJrZt2btTH14ZShidNjo+Om1pSWLbn9uzRU/uWG2NnovdZ3TMVElx4kihH71zrbY5lie3HY3+HT+yyLWpUteHR6MjBMfMxFGAk7a9ZmWZdq5akTTyL1VbU1OL//xeGx7VwI2RtG3H4j73JyPX9dLJ9NO8mp7cYf2/54yh//7CibRtH9nqsBJOhz+4rP/4f9Inpf/hFx7QJ+6MJqX/9u0L+vwUSemOz9XKMz4CsePoOf30XwaiiaziIi0ZT2KVFkX/bftXd+kz90aPGy+eCKvlH45pSUk0eZbQvrhInjvsaR8zl4ibgNTGJo2Yjn0nR/+WKpaWaNn49/7VoRGdG7hh3RY/inp0zNQ2x3KtHU/YR67d1OvnBjQ2Pmp4YkR09N8715Rre3X0u6vv6k19L3g52jZuhLWp6P/vX1+p+zZUWG2//eb5uG0poW3dJrse3R6NRcLXbqr95ZNx20zc/kNbq/TJ8e/EgRvD+p3DH6QcDS1FT6jFRmVfHx7Vb/zTuwntom2jf+3eWKl/W7dZUnQfffHv3k64PX67964vl/fhbdb1v/w3b2pkbOL4HH2M6B93rFmpLz5eY13/H//PW+MjohPjFZtNcjqW68tPTBxL/t9/flfGjRGr7UTsYtOGiqX60scmtvuN7wX14ZUh2WxxI6LH71e9fIl+5aMTbX0vndD5gaGUMVl5WYn+40cmTg79ReCMzhg3JuK8ool4r6ykyBrJLkn/8sNLOtd/I6ldkU0qttms45Mk9Z4xdHFwaNLo6Yn/P7rdYR2vQ31XFb42nLJdUZG0c9VKq23f1Zu6Njya0La4SFYsvXJJifVbBci3rCecJKmxsVGNjY3q7+9XOBzW9u3bc/EwmCT246u0eOLMb/DyVQ2NRBMrQyNjCf+vWl6a8CPc99IJXb05mtRuaGRMW6uWJRwcPveXAV0cHLLaxSdxblu1Un/3Cw9Ybe/93e/phx9e0chY8k+k21ev0LHmJ62/f+ovevXm+cGUz29j5dKEhNMfvnBCL6f5YWRfVpqQcHr1lKHD719O2bZ00o/JoZFRXRkaTdlWiiZlisYPXOVLS+VYXjpxVn/Smf74g/Jd68rl3rkqYQRASdHEGf4lcf2ov221ViwpTtvWsXwiGfGTuzZo98aKpFEGsdEANeNBkyT90qNbtX/XhqSkUOzv+JEnX3zcqS8+7sxoas6/cW3Sv3FtmrJNzFO3r9FTt6/JqO3ujZX6o5+4L6O2O1ev1Nc+fntGbTdWLtMvPboto7aO5UsSgoeprCgrsUZ9TaespFgPba3KqG1pcZF2xyXBplJUZNPd65Kn5qRis9l0+5qVGbWVpPs3ZNYHSarbbM+47cNx30PTeXJnZvtXkj577/rpG437mT2bM26b6XtHiia9MtX6r+5S67+6K6O2f/wT9+mPPnuvlUSLjlrUeGJrTFXLJr4jfn3vTv3SI9sm2sS1Hxkb09aqie+In9q9UbWbKjU8mnrE5Bb7RNL0ka0O/YZ7p4bHR2AmjPIcM7W+osxqu8W+TJ+8Y01cm8QRnvZlE4nQspIirSsvs26PjS4dHosmJeOPcTfjRoumGn13bXjiu/zi4JCeP55+tKJrTWna23KNuKkwxRIqI2NjWlZabB1rI9duauDGiPXejrWJjXbevbHSGuV37OKgQn3XEttYo6JNee5br8rxz9fzoT69cCKccHv8/b700RptGv+M/93bF9T5+jmrbXzyZtQ09Y0fu9s61nS+fk6/91zIikMnJ3ue3ne/HtteLSl6svDLf/9O3LaUsN1Dn6vVp+5eJ0n666Nn9dN/+Vra/ffn/3q3fro2Gnt0v/+hPvunPWnb/vFP3GslT3rO9Ovj7S+nbftfPnWXlTz54YdX1PDnvWnb/ucfud1KOJ3pvy5v1xtp237lyR1xCadh/do/vpu27S8/tt1KOF29Oaq2736Qtm18GYCbI2P6vefSr2z5k7s2WAkn0zT1hz84nrbtp+5em5BwevrlUylPxErS3p2rEhJO/6v3TNoTnA9trUr4TfEnR06nHcV97/ryhITT0y+f1PuXr6ZsW1O9fFLC6aSOnhtI2XZdeVlCwumbL57QCydS/6YoLytJSDj93vdD+s57H6ZsW1yUmHD6bf/7+j9vXUjZVpKuf/2TKi6KJk2/+i8/1F8EzqZte/k/f9yK/3/tn47p6ZdPpW178jfc2jz+Wf7Vv3tbv/98KOFEcPzJ3h/8+0etmQW/91xQf/ziyYQTwfHT9f9k/y4rbjx09Kz+7MjplL8niots+g33bVbb731wWV1vnE95YrqkyKafrt1kncB9+8Kgnv3gcsLvn4n/2/TQ1iptHD+Be2lwSD/88ErCb6CS8d8/pUVFWlteZp3kHB4d0/Xh0YS2lB6YGzlJOMVUVlaqsjLzHygLxdDIqAZvjGhoNJqcuTliamh0VBVlpdpQGR2dcWN4VN/94LJujprRpM3oaLTd+P/vXFOuH7kj+qP7+vComv/hmG6OREfnTE4OPeZ06Dfct0mSRkbHdPfvfm98O9H2sXYjY6Z+/O61+pufm0j23Nn23ZSJHil6cOj2Pmz93fKP76Y9ODy4xZ5wcPh+sE9n0hwclhQnTnWIBTKZ2Fy5TFdvjmpJ3Jnn2L9rVpYltP3knWt0x+qVKi2xxbUv0pJim1YsSXxr/8rjTv3U7o1aUpK43dj/4/3hZ+/Vf/nU3Ulny5eUxEb2TLR9Zt/9embf/Rk9ty99rCbhoDmVH79nnX78nnUZtd21sVK7MkxGrFpRZk1bmU78CAkA849tvB5VcZFNS6ZYA6R6xZKEqcBTuXNtue5cm1nC8vGaaj1eU51R25l8p02VwB6bdCz5ifvW68kdq6yRrvEjaIfHxrSjemIE4gNb7Dr0udqJ2+NOlgyPjqluQ2bfjbm0WOOmbDAnjR4MX7up68Oj1usXe82HR03ZbFLtJrvV9gfH+3Tpys2k13x41FSRzZaQRP6TV0/p2KUrSdscGR3TqCn9RVxdu6/+yw/1vQ8ua3jM1M2RsYQp9SNjpt5p+pjKxkdTerte11+/di4hKRR/Uir+x+RX/jHzH5NPv3JK/22KBMOj26ushNN33vtQv+1PP0Xzc7WbrITTOxcHp/zx+2t7J6ZMXxgcSnsCUJIG40ZYXh8e0/mBobRth+MSGkXT/BiMH51ZVlykiqUlCT+oi+NGfcSPtF65pFh3rV0pmyZGqNg0MTI6Pt6sXFqqx7Y7Em63xY08cTqWJ7T91N1rE0am2DRRP/C+9RVW24qyEv3sns1x20wc1fKR7RMnYlYsKdYXH59IjsTvFptsemC8tIAUTdg3xcXriW2V0Icim02/7t6ZcPvE/Wy6ffUKxfuN+p0aHTMTRgvF/t0Wd+JCip7ouD4yOjFy2ZwYvbwpbiS7JP2Hx7ar/8bIxGjrWHvT1LqKxO/ln3tgsz68ctMaiW21lbRqeeJxruH+DXpoa1XCiLDYY1QuTTzB8Mk712rnqpUJI95iJ3SWTprCvWeLXSVFtpT1RSe/Z2uqV6huU2XKOqRjZuJ7vGr5Em22L02qGRobIVcc17akqEhlJUUJ/YwX33ZkbHxbo6aGpxkf/eGVm/ogTUJPiv5mjfng8lX98w9TJ94k6Rcf3qbYaeCj5wamnLnx6HaHlXB64UR4yhHR3/qZOn3m3uj3lP/9DzNOSv/jsUv6zJ8eSbi9yCYr+fQHn75HP/fAFknRY8bP/NXRpARW7P//4TGn9u2KJhbfvTSoln84lnDSP5ZYKy0u0qfuXquPj59ovzg4pGdeOWmVFIj9di0tsmlJSZHuXVdhJbCv3RzRK6eMhJHY8aOz7ctKVDX+njfNaOxTWlQ0L0e25TThNDAQzSpXVFRM03JhWfPV78hWtjzp+l96ZJv+cLwmSP+NEf3o/3g17TZ+pm6TlXAaG5v6DENF3KiT4iJb2sy+JA2NJJ55WLViiYZHx7SkpEhlxdEvp9j/d65KPJD8xH3rdWN41Lo9/j5bJtVG+a+fultDo2NWu1jyZkmJLWnKjv8XH5ZNtoTk0ZLxD+PkzPLff/7BtM9tslgSLhOxqRqZ2Fi5bPpGAIA5NzmQWlZarGWVxWlaJ9pYuUwN96f/fo/FLPm0WOOmn/mrgLRkeUICZ3h0TFuqlickcJ7yvaR3L13RcNzotuHRaO3CzZVLFfp1d1zblxU4m75G28Xf/Lj196//47tpR7ctLy1OSDh1vn5uyh9R//undluxy7GLg1OOmhsZNRXLc9wcGdPgUPqprSOjccmTkmItLYnWLoud3Y8/2x9va9Uy7dlsn/hhNP6DKHa/+KnGro2V+tk9mxNGDcTfZ21couXJHav0jR+7K+ViB8VFNqvumyR98o412vyzdSmSPdF/71k/kcT+9D3rVLup0poqHz8NqNhm0+q46eSfuXed+v7zx5NGZhTbbEnfBZ+4c62M3/pE2v0b7+FtDr315Scyanv3unI99+8ezajtNsdy/Z+4k75TWVNepv+5f1dGbSuWluq/fOru6RtKWlparK//6J3TN1T0+zS2OEkmZhJ3/2qGJ1glJZzQns5Xnsx81PBMRhjPpO1M9tnv/lhmo5Yl6Q8+fY/+YHwBmOn898/em1CHUlLCCMOyuCTZb/3IHWp5ckfCAj3x0/Xjf+N5H9qqT965JqHOayzZPjpmantcgvVTd6/TpsplSSUDYosMxbd9YItdv+7emdAmNsJxZHQsoZyG07Fc++7fYI2sjo3CjP0//jtiZVmJbl+9whppPblt/H6YXBNUik57HRoZ05ASp6AO3hjR8XD6Oqv7d00kzT+8clN/+/bFtG03VS61Ek5n+6/r//nnH6Zt+2t7d1oJp9PGDe395ktp2/6Hj2zXf/vxe8a3e0Nbfita97E4bsZNLFH1udpNahsfQT9wY1hP/vFLiQmvuN/oH61ZpV9+LDrKemR0TF/8u7dTDsIoLSrS5uWZDSjJScKppaVF7e3tVi0Cu92uX/u1X9Ov/uqv5uLh8io6FSqalIl/Uy8rLZJrfMizleiJa/fglompNEtLi/Vre3daty8psamsuNj6f/wH1maz6fl/92hS2yUl0TnGyybVJTn31acyfi5PN2Q2UkdSxlOMJBI4AABMZbHHTf/nrYspT9R9OGlhgQuDQ2lHTw9POoNfWmyzAuv4ulylxTatmjSi7971FRobLzkQX+NrSXGRVQMo5jP3rtdd68oTzibH38c0J0Z2/KfHndp3/4aEwD4+MbQ0btsHP3mnfsN9W1JCKHaJr1c3kx+e//EjzoSpQVP5zL3rrZpm03lgS5UeiItVp1KzaoVqJp3ETGcmIy7LSoqtEWIAplZUZFORbJr0labypSUqX5rZT/6tjuXa6kj+rk7l3vUVund9ZidHHtnmSCjjMhX3bautRX6m86m711lTcKfzmXvW69rBT6ZdvCn+uPHwNode+uXHktrG/o4fKbhj1Qr98U/cmzCdOVZaYHjU1GNxoxUdy5fo5x/YopHxEynDcXWIh0fHEgaDFBfZdNfaldZt8Sdgbo6MJRy7huNOWMSSejfiBqFciTvZcWN4LO3JGklaGTdLaGhkbMpanZ/akWEJDzO+SlwW1NXVKRAIyOPxyOmMHgB7e3t1+PBhPfXUU/rnf/7nbD7cnBoYGFBlZaVOXbis1Q67NWQOAAAsbLFjfH9//5yOMCqEuOl3/+V1VVRUJp11rVxaor07J35YvHl+wJoWMHkKQVlJUUKiYvIUOwAACtHYmKnBoZHUJQPGxlS1rNRaxGVoZFTPvh8/FTyx/W2rV1jH5aGRUf2W//2U2xweGdM9jmI1f2LXtHFTVhNOX/nKVxQKhfT0008n1SAwDEONjY166qmn9PnPfz5bDzmn8hWMAgCA3MrHMZ64CQAALESZHuPTVxmdhVAopI6OjpQFL+12uzo6OtTbm36lBwAAgEJB3AQAABazrCacYkPBb7UNAADAYkfcBAAAFrOsJpwykSpwevbZZ+e6GwAAAPMecRMAAFiosppwqq+v1zPPPJP29meffVZVVckrXvh8vmx2AwAAYN4jbgIAAItZVouG79u3T4cPH5bT6ZTDkbj0YTgcVigUUl1dXdL1gUBAo6Oj2epGzlD8EgCAxSkfx3jiJgAAsBBleowvyeaD+v1+OZ1OVVVVaXIeq6qqSrW1tUnXZzHfBQAAsGAQNwEAgMUsqwknp9Opnp6eGd9v37592ewGAADAvEfcBAAAFrOs1nBqbW2d1f1aWlqy2Q0AAIB5j7gJAAAsZllNOB0/fnzaNvv370+6bvfu3dnsBgAAwLxH3AQAABazOR3h9Nprr8nv92fzIQEAABYk4iYAALCYZTXhFAwG9T/+x/9IeVtLS4tqa2tlGEY2HxIAAGBBIm4CAACLWVYTTpWVlfrmN7+po0ePWtc9++yz2rlzp9rb29Xa2qrt27dn8yHz4m/fOp/vLgAAgAWuUOImAABQmLKacHr22Wd15MgRdXd36+jRo/rCF74gt9ut3bt3KxQK6ctf/rJ6e3uz+ZB58W//6qi+/H/f0cjoWL67AgAAFqhCiZsAAEBhymrCKVbE8stf/rK++c1vqqOjQ52dnero6FBlZaUkKRKJZPMh8+a/fD+op9pf1sXBoXx3BQAALECFFDcBAIDCk9WEU7xvfvObOnDggOrr6xOub25uztVDzpk/+8ldWllWrO8F+1T7e8/pxRPhfHcJAAAsYIs5bjJNM99dAAAAeVAy2zumWqZ3MsMwVFtbK7fbLUkKh8OLYrWVT9+7Xnt2bNBP/FmP3r10RR/7oxf1mx+/XU1P7FBxkS3f3QMAAPNMIcdNP3/oqP7sZx7VyrJZh50AAGABspmzPO3kcDjkdDrlcDhmdL/Dhw9rdHR0Ng+ZdwMDA6qsrFR/f78qKio0eGNE3q7X9ddHz0mSnqip1p//1G5trFyW554CAICZmHyMz7ZCjpv07/9a92xZq2/9bJ1uW70y390CAAC3KNO4adanmpxOp3p6emZ8v3379s32Ieed8qUl+ot/49JTt6/RL//Nm/pusE/3/5fv65l99+vT96zPd/cAAMA8Uchx07ryJXr74qAe+P3n9Wc/uVs/fs+6fHcJAADMgVnXcGptbZ3V/VpaWmb7kPOSzWbTz+7ZrN4vPq7aTZUKXxvWZ/+0Rz9/6KiM68P57h4AAJgHCjlueu6XHtVj2x0auDGiz/zpEX3lH45pmJV+AQBY9GY9pa4QTTds7ObImH79n97Vf30uKNOUNlQs1Tc99+lf3bU2D70FAACZyvWUukIUv0+XrVipL//9O/qD549LkvZstusv/41LNatW5LmXAABgpjKNm2Y8wun48eN65plnNDAwcEsdXIyWlBTpd3/sLn3/lx7RzlUrdG7ghj71P1/Vv/3LgMLXbua7ewAAYI4RN0WVFhfpv/34Per8t7WyLyvVkdOGdv/e9/W/ek/nu2sAACBHZpxw2r59u0zT1JNPPqmPf/zj+va3v52Lfs259vZ2tbe3q6urS6FQ6Ja29dj2ah391Y/qVz9aoyKb9L8DZ3VX23f1p0dOa2yMAWUAABQK4qZEP3HfBr3+qx/V406HrgyN6mf+6qh++i8CinBiDgCARWdWNZwOHDignp4effOb39Srr76qHTt2aP/+/Xr22Wez3b850dzcLKfTqcbGRoVCoawsQbystFi/+2N36YV//5juWrtSl67c1M8fOqqP/PcXFDhj3HqnAQDAgkDclGizfZkO/+Ij+s2P367iIpv+8rWzuvt3v6e/fetCjnoMAADyIWs1nF577TX5fD4dPnxYHo9HXq9X27Zty8amc8owDNXW1ioYDE7bdrb1HW6OjOn3nw/pP3e/p6s3R2WzSQce3KqvPXWb1lUsvZXuAwCALJjrGk7ETVEvnQjr5w8d1Q8/vCpJ2r9rg/7g0/do9cqyrPYbAABkT6ZxU06Khn/rW9/SoUOHdPz4ce3fv1+NjY05C94Mw1BPT4+am5vV2dkpp9OZ1CY23NtutysYDGr//v1yuVzWbT6fT16vV5IUCoXU1NSU8rFuNRg9239dTX9/TH/12llJ0oolxfri40596WM1qlhaOuPtAQCA7Mhn0fBCj5tuDI/qN7vf0ze+F9TomKnq5aX6+o/epZ/bs1lFRbYsPGsAAJBNeU04xfT396ujo0M+n0/V1dVqaGjQ5z//+axtPxAIyO/3y+Vyqb6+XsFgMClw8vv9am1tVXd3t3VdbW2tDh8+LLvdrvb2djU3NysSiUiS2traJCll8JStYPS5YJ+a/v4dvXrakCStWrFELXt3yPvQVi1fUjLr7QIAgNmZD6vUFXrc1HvG0C8cel1vnI8WWN+z2a7/7zP36IEtVbN+zgAAIPtytkrdTFRWVlp1Czo6OhSJRFRXV5e1ugUul0tNTU2qq6tL26a5udk6CxfjdrvV3t4uSXI4HAnBltPp1KFDh265b1N5vKZaL/2Hx9T1M3W6bfUKXb56U7/6d+9o+28f1sHD72vgxnBOHx8AAMw/hR431W6y68h/+oi+8WN3qbysREdOG3roD36gX+g4qnP9N7LyGAAAYO7kNOEUr7KyUl/+8pfV09Ojr3zlK/rOd76jHTt26Atf+IKOHj2as8cNBALWMPCYmpoaKzhKNZR8LthsNn323vV660sfk89zn7ZVLdOHV2/q1//pXW39Lb9+45/eJbgCAKBAFWrcVFpcpF/5aI3ebX5C/7Z2kyTpT149rZ1fP6yWfzzGanYAACwgc5Zwird79259/etf1wcffCCPx6Pf+Z3fyUnwFAgEJEXPxsVzOBzWEr6Tg6pQKKT9+/dPud2BgYGEy9DQ0Kz7WFJcpAMPbdUPv/Kk/uxf79Kda1aq/8aIfufw+9r223795P/q1fOhPuVw5iMAAAVnaGgo6Xg+XxVi3LS+Yqn+9F/v1g/+/aN6ZFuVrg+PqfXZD1Rz8FkdPPy+Bm+MzOSpAQCAWzDbuCkvCad4e/fuVUdHh3bt2pX1bYfD4bS3GYZh/b+zs1PNzc3q6upSX19f2uKXMZs3b1ZlZaV1OXjw4C33tbS4SJ+r3aw3v/Qxdf1MnR53OjQyZqrj9XP66B+9qN3/9Tn90Qsn1HeVM3sAANyqgwcPJhzLN2/enO8uZaTQ4qZHtjn0/L97VH/7c3t0z7pyGdeH9ev/9K62/bZfX/2XHxIXAQAwB2YbN+W0aPhcMQxDVVVVScUvA4GAtXRv/PVdXV1qaGiY8aihWGGs06dPJxTGKisrU1lZ9pfvff1cv/77Cyf0F4Ezuj48JkkqLbbpx+5aq8/VbtYn7lijJSV5zxkCALDgDA0NJYy0GRgY0ObNm/NaNHyuLNS4aXTM1F++dka/1f2+3r98VVJ0xd8DD23VLz+6Xdurl894mwAAYHqzjZvmfEm0gYGBOQvk7HZ7yuunOoOXiYqKijl5DvdvqFR7w/1q/dE79Wc9Z/TnPad19NyAvv3mBX37zQuqXl6qT92zTp+9Z7327lylpaXFOe8TAACLQa5OFmUbcdOE4iKbPle7WT+1e5O+/eZ5ff3Z9/Xa2QH9t+dC+v3nQ/rkHWv0S49s08dvX6OiItstPx4AAIiabdw0Jwmnw4cPKxQKqbq6WpWVlQqFQrLZbFld6jeVWA2C+GHgsb8n1yCYz6qWL9F/etyp//S4U2+cG9Cf957WXwbO6sLgkP7k1dP6k1dPq7ysRD965xp9+p71qr9tlaqWL8l3twEAwCwQN02tuMimhvs3yHPfen3nvQ/1e98P6Tvvfah/OHZJ/3DskpzVy9X40Fb9tGuTNlQuzXd3AQAoWDlPOD3zzDNyu93au3evdV3s/9/4xjf0pS99KWePbbfb5Xa7FQqFEgKlYDAot9uds8fNpfs2VOgbG+7W1z95p54/Hta33zyv//PWBZ3tv6G/PnpOf330nIps0gNbqvTUbav18dtXa89mu0qKmXoHAMB8R9yUOZvNpo/fvkYfv32N3vvwiv74xRP60yOnFeq7pq/8wzH92j8ek3vnan2ubpM+ffc6rSib84H9AAAUtJzWcHr22WdVVVWl3bt3p22TjeApXS0CSfL7/WptbVV3d7d1XW1trQ4fPpx26Hg6sVoE862+w9iYqSOnDf3NWxf09+9c0DsXryTcbl9Wqo86HXpse7U+4nRo98ZKlZKAAgDAMh+O8cRNt+7q0Ij+6uhZ/XnPGf3g+MRUwJVlxfpXd67VZ+5dr0/csUYrST4BADBrmR7jc5pweuaZZ6Yd/n348GHt2bNnVoFIKBSSz+dTKBRSV1eX3G63XC6XvF5vUrHLcDgsh8OhI0eOaP/+/bMaGj4fgtFMnDau6zs//FDd70UvkevDCbevWFKsh7ZW6bHtDn1ke7XqNleqYmlpnnoLAED+zYdjPHFTdgUvX9X/DpzR/+o9o1DfNev6pSVF+vjtq63k0+qV87+WFwAA88m8SDg9/fTTOnDggPX3U089pRMnTui9996zruvv71dvb6+efPLJXHUja/IdOM3G6Jip3jOGvh/s0w+Oh/WD4+GkBJTNJt2+eqX2bLarbrNdezbbtWtDBUXIAQAFYz4c44mbcsM0Tb16ytC33zyvb795XsG45JPNJtVtsuvjt6/Wj9yxRg9QhgAAgGlleozP6Xhimy1xhRDTNDU2NpbULoc5r4JXXGTTA1uq9MCWKn35iej0u3cuDur58eTTC8fDOmVc17uXrujdS1f0v3rPSJJKimy6d325XJvsun99he7fUKF711fIvoyRUAAA5AJxU27YbDY9uLVKD26t0td/9E69eX5Q33rzvP72rQt64/yAjpw2dOS0od/yv6+qZaWqv221nthRrY/WVOv21SuTXhcAAJCZnCacJgdE8fUAYg4fPjwvC1EuVkVFNt2zvkL3rK/QFx7ZJkm6ODiknvFgq/dM9N9LV27qtbMDeu3sQML9t1Yts5JPsURUTfUKlh8GAOAWETflns1m030bKnTfhgr95sdv17n+G/rOex/qX354Sd/5YbQMQcfr59Tx+jlJ0tryMj2+3aHHa6r1UWe17lpbTswDAECGcppwcjqdOnr0qHbt2pW2TTAY1Gc/+9lcdgPTWFteph+9a61+9K61kqIB72njuo6cNnT03IDeODeg188N6JRxXScj0cvfvX3Ruv/y0mLds65cd60r111ry3XX2pW6e225NtuXEZQBAJAh4qa5t6FyqX52z2b97J7NGh1fhOVffnhJzwX79NLJiC4ODqnzjfPqfOO8JKl6eake2ebQQ1ur9NDWKu3ZbKcAOQAAaeS0hpMUrUdQX1+vbdu2Jd2W6+V9s22+1CLIl8i1m3rz/KBePx9NQL15Pnq5MZI83F+KFie/c81K3b2uXHeujSaj7l5brq1VJKIAAPPLfDnGEzfNH0Mjo3r1lKHvh/r0XLBPL56I6NrwaEKbIpt0z7oKPbjVroe2VOnhbVW6bdVK4hwAwKI2L4qGxxw+fFjHjx+Xw+GQJPX19clms027Est8s9ADp1wYHTP1/uUreuv8oN65eEXvXBzUOxcH9cMPr2h4NPVba1lpke5cEx0JFRsVdeealXJWr1AxARoAIA/m0zGeuGl+ujkypt4zhl4+FdErJw29fDKiU8b1pHaVS0vk2lgp1ya7ajdVqnZTJeUHAACLyrxKOMXr7+9XZWXlXD5k1iy2wCmXRkbHFOy7prfHE1DHLl7R2xcG9e6lK7o5mnpE1JLiIt2+ZoXuXFOuO9asjCai1q7UbatXqKyEFfMAALkzX4/xxE3z27n+G3rlVEQvn4xees4Yuj6cHOdULi3R7o2Vcm2qVO0mu+pIQgEAFrB5m3BayAohcMq1kdExHQ/HElFXdOzioN6+EB0RlSpAk6LD1WuqV+jOtSt1x/jIqFhSqnwpdRMAALeOY3z2FeI+HR4d09sXBtV7pl+9ZwwFzvTr9fMDGkpRfqBifCTU7vHLrg0Vun3NSpUWF+Wh5wAAZC7nCaeWlhYdPHhwxvdbaPUH4hVi4DRXxsZMnYxc17FL44moS4N6d3yKXv+NkbT322xfGk0+rV1pTc27c+1KrVpRNoe9BwAsdLk+xhM3FW7cNDw6pncuxpJQ/QqcMfT6udQ1MMtKinTPunLdv6FS92+o0K4NFbpvfYUql5XmoecAAKSW6TF+1sNDAoHArO535MiR2T4kFrGiIpu2Vy/X9url+uSda63rTdPUhcEhHRtPPh27dEXvXhzUO5eu6OLgkE4bN3TaiC5pHG/ViiW6a3xE1J1xyaiNlUtlszF8HQAwt4ibCldpcdF4AqlSP/9A9LqR0TG9c/FKdBTU2X69cW5AR88NaHBoxEpMxXNWL9euDRUJiajN9mXENACAeW3WI5yKiopUW1trFbTMRDgcViAQ0Ojo6PSN5yHO1M0vkWs3dezSFatG1Lvj/z8ZSS7gGVNeVmKNgrKm560t13bHcgqWA0ABy/UxnriJuGk6Y2OmTkSu6ei5AR0926/Xz0VXBU5VmFySqpaVRpNQ49Pxdm2o1B1rVmpJCVPyAAC5lfMpdUVFRbLb7TO6j2EYstlsBE7IqatDI/rhh1cSpuYdu3RF71++qtGx1G/3spIi3b46loiaGBG1k4LlAFAQ5iLhRNyE2Qhfu6nXzw3o6Ll+vX42OhLqnYuDGkkR05QW23T32nLt2lCp+zdWWKOi7EzJAwBkUc6n1HV3dysUCsnhcOgnfuInMr7fU089NduHBDKyoqxErk12uTbZE66/OTKmDy5ftepEvXspWrT83UtXdGNkTG+cH9Ab5wcS7lNcZFNN9XLduWal7libWLB8ZRkFywEAmSFuwmw5li/REztW6Ykdq6zrhkZG9c7FK5MSUf3qvzESHSF1bkDqmdjGtqpl2rUxNh0vOiJqSxVT8gAAuXXLq9T19/ero6NDNptNbrdb27Ztm7L9L/7iL+qb3/zmrTxk3nCmbnEaHTN1MnItsU7U+PS8gWkKlt+1Npp8ujMuGVW9Yskc9h4AkA1zdYwnbkKumGZ0AZaj5/p19OyAXj8XnZZ3Ik2pAXtsSl4sCbWxQneuKWdKHgBgWjmfUpfKa6+9pp6eHlVXV+uzn/1stjY7bxA4FRbTNHV+YEjHLg1ayah3L0Wn510cHEp7v9UrlkQTUWtX6s7Y9Ly1K7WhgoLlADBf5eMYT9yEuRC5dlNvnI+OeoqNhHr74qCGR5mSBwCYnbwknOJ961vfUiQSUV1dnXbt2pWLh5hzBE6ICV+7qWPjNaLeuRhdOe/YpStTFiyvWFqiO1avTEpGbaNgOQDkXb6P8cRNmEs3R8Z07NKgjo4noF4fn4ZnXB9O2X5r1TIr+bRrY3RE1Fam5AFAwcp7winm+PHj8vv9stls2rdv34IOOAicMJ0r4wXLE0ZEXRzUB33X0hYsX1pSpNtWr9Rd4yvn3bk2mojauWoFw9oBYI7Ml2M8cRPyxTRNnYpcH68BNZ6EOts/5ZS8+9dXjI+EitaFumstU/IAoBDMm4STFD1r5/P5dPjwYXk8Hh06dCjXD5kTBE6YrZsjY3r/8lUduxgrWD5RK2poZCzlfWIFyyfqRI2Pjlq9UisoWA4AWTWfjvHETZhPjOvDev1cf8ZT8u5aWz4xGmq8RlTVcupbAsBikveE04kTJ9Ta2qqOjg4ZhqHt27fL6/WqsbFRlZWVuXjInCNwQraNjpk6Eb6mY+NFyt8dn6Z37NKVKQuWb7Evi46IWluuO+OSUQ4COgCYlXwf44mbsJDEpuTFpuK9fjaakIowJQ8ACkJeEk4DAwPq6OiQz+dTIBCQaZryeDzyer3au3dvth4mbwicMFdM09S5gRvjdaISk1GXrtxMe781K5fozvFpefesq9C968t19zoSUQAwnXwc44mbsJiYpqnTxviUvPFV8o6eG9Dx8LWU7SuXlsQVJ2dKHgAsJHOacHr22Wfl8/nU1dUl0zTlcrnk9Xp14MCBW930vELghPmg7+rN5JXzLl7RKSN9wfINFUt1z7po8une9RW6Z110ZBRT8wAgai6P8cRNKCTG9WG9MV4X6ui5aCLqrQtTT8nbvbFSro2Vcm2q1P3rK4hXAGCeyXnCaWBgQO3t7fL5fAoGg7Lb7dq3b5+am5u1ffv2tPf7xje+oS996Uuzeci8I3DCfHZlaCSafLo0qLcvXNHbFwb01oXBtCvn2WyS07F8PBEVTULdu75Ct61eodJizi4CKCy5PsYTNxE3YcLNkTG9e+nKRBJqiil5Npt0++qVcm2sjCaiNkX/tS8rzUPPAQDSHCScioqKZLPZ5Ha75fV69dnPfjaj++3cuVPvv//+bB4y7wicsBAN3BjWOxev6K0LA3rz/KDevjCoty4MpJ2aV1ps0+2rV1ojomJT87ZVLVdREbUWACxOuT7GEzcRN2FqsSl5r50dUOBsv46e7VfgbL/O9t9I2d5ZvVyujZXaFRsNtbFSa8rL5rjXAFCY5iTh5PF45HQ6oxuKK/pnmmZSEUDTNBUIBHT48GGNjo7O5iHzjsAJi8mlwSG9fXFQb10Y1JvnB8YTUYMaHEpdrHx5abHutpJQ5daIqHXlZRT9BLDgzUXCibgJmLmLg0N6bTz59NqZ6L/p6kJtrFyaNBJqU+VS4hQAyLKcJ5zq6urU09Mzo/uEQiHV1dUpHA7P5iHzjsAJi13s7OJb48mnt8eTUccuXdHQyFjK+ziWlyZMy4slohjqDmAhyfUxnriJuAnZE7l2U6+dHdBrZ/utZNQPP7yiVL9qVq1YEk1CbZoYCeWsXk4SCgBuQabH+FlX4IudoZvpfdxu92wfEkCO2Ww2balari1Vy/XJO9da14+MjinYd01vjdeFiiWi3r98VeFrw3ouFNZzocQfRFvsy3Tf+grdu6Fc962v0H3rK7Rz1QqVUB8KQAEibgKyp2r5Ej25c5We3LnKuu7K0IhePzeQMBLqnYuDunz1pr7z3of6znsfWm1jK+TFJ6FuX7NSxZQOAICsysoqdYWCM3VAohvDo3r30pW4EVEDeuP8gE4bqestlJUU6e615UmJqNUrqbkAIL84xmcf+xT5dmN4VG9dGFTgbL8CZ6Kjod44P5By1Pby0mLdv6FCuzdWqnZTpeo223XnmpWcKAOAFHI2pe6ZZ57R5z//+Vvu4FxtN5sInIDMGNeH9eb5aPLpjfPRYuVvnh/Q1Zup65CsKy+LJqHWV+i+8UTUHWtWqqykeI57DqBQ5eoYT9xE3IT5ZXh0TMcuXomOhIq7pIpRlpUWadeGStVutqt2YzQJdQcjoQAgdwmnPXv26MiRI7fcwckWwiosBE7A7I2NmToevhaXhBrQG+cHFey7mrLmQkmRTXesWTmRiFpfrvs2VGhDBcU/AWRfro7xxE3ETZj/RsdMfXD5qgJn+9V7xlDgTL96z/SnXEhleWmxdm+sUO1mu+o22VW7qVK3rSYJBaCw5KyGk2ma+va3v31LnUu1TWb2AYtbUZFNNatWqGbVCn3m3vXW9VeGRvT2hcGkRJRxfdiaqqfXzlrtHctLrSTU/RuiU/LuWrtSy5fMuiQdAOQMcRMw/xUX2XT7mpW6fc1K/evdGyVFT5R90HdVPacN9ZzpV+CMocDZfl0ZGtULJyJ64UTEuv/KsuJoLahNdtWNT8fbUb1CRSShABS4GY9w+ta3vqVQKJT1jtjtdh04cCDr280mztQBc8M0TZ3pv6E3zg3o9VgS6tyAfvjhFY2l+MYqskk7V62I1oTaUKFdGyq1ayOjoQBkLlfHeOIm4iYsHqNjpt778Ip6zhjqPdOv3tOGXjs7oGvDydPxKpaWyLWxUrWb7KrbHP23htXxACwSOZtSV8gInID8ujE8qncuDuqN84PWaKjXzw3o8tWbKduvWrFEuzZU6P7xBNSuDZW6fTUr5QFIxjE++9inKASjY6bevXRlfCSUYRUnv5GiMLl9Walqx1fGqxufkrfNsYwkFIAFh4RTDhA4AfOPaZq6ODikN8aTT2+cH9DRswM6dmkw5WiospIi3buuXPdvrNSu8dFQ962vUPlSpuQBhYxjfPaxT1GoRkbH9M7FK+o9E52O13va0OtpVsdzLI8moWrH60HVbbJrSxVJKADzGwmnHCBwAhaO68OjevvCoI6e69fRswN6/Vy/Xj8/oCtDqVfK27Fqhe5fX6H7x0dC7dpQoY2VTMkDCgXH+OxjnwIThkfH9PaFwYTpeK+fH9DwaPJPsTUrl2jPZrv2bK7Sns2V2rPFrlUryvLQawBIjYRTDhA4AQvb2JipUPiajp7t19Fz0STU0XMDOtt/I2X76uWl2rWxUvdvmEhC3b5mpUqZkgcsOhzjs499CkxtaGRUb10YVO+ZfvWcjk7He+P8gEZSDNHe7liuB7ZEp+E9sMUu18ZKrShjdDaA/CDhlAMETsDi9OGVIb1+bmD8Ek1CHbt0RaMpAr6ykiLds648WhdqQ4V2bYyulFextDQPPQeQLRzjs499CszcjeFRHT03oCOnDR05FdGR04Z++OHVpHZFNunudeXWKKgHtlTpnnXlnBQDMCdIOOUAgRNQOG4Mj+rti4M6enZAR8/1WwmpwaGRlO13rFoh18ZK7d5YKdemSu3eWMHwd2AB4RiffexTIDuM68PqPWPo1VOGek4bevW0kXJ09tKSIu0eL0j+wBa79my2a0f1ChUVUR4AQHaRcMoBAiegsI2NmToevhatC3VuQK+PJ6POpJmSt9m+dDwJZZdrfFWa9RVl1IUC5iGO8dnHPgVy51z/DR05bejV0xH1nDZ05HS/jOvDSe3sy0q1Z/N4EmpzlfZstmtD5dI89BjAYkLCKQcInACkcvnqkI6eHVDgbHQp5MCZfr1/OXn4uyStLS9LHAm1oZIlkYF5gGN89rFPgbkzNmbqg76r0STU+EiowNn+lCvjbaxcOl6UPHqp22yXfRmlAQBkjoRTDhA4AcjUwI3hpCTUsUuDSlEWSlXLSrU7Lgnl2lipnasYAg/MJY7x2cc+BfJreHRMb10Y1KunIjpyul9HTkf09oXUschtq1fogc12PbClSg9uqdL9Gyq0pIR6UABSy1vC6dlnn5XP51MoFJLT6dRTTz2lhoaGRRFoEDgBuBXXbo7ozfODCpztjyaizvTrzQupl0ReWVasXRvGk1Djyag717JCHpAr+TrGEzcBmEtXhkb02tn+6Cio8bpQx8PXktqVlRTJtbFSD2yx66Gt0STU1ipGZAOIykvC6emnn1Zzc7PcbrcMw1BPT48Mw1BVVZXa2tr0C7/wC9l6qLwgcAKQbTdHxvT2xUEFzkSTUEfP9uvouX5dH04eAl9WUqT71lckjIS6d325ykqK89BzYHHJxzGeuAnAfHD56pCOnIoWI3/1lKFXTkUUvpZcD2pteZke3BIdBfXQlmg9qPKlJXnoMYB8y/QYn9VviN7eXoXD4YTrjh8/ru7ubn35y19WMBjU7/zO72TzIQFgQVsyvqLM7o2Viv20HBkd03sfXk0YCfXauX4N3BiJLpN82rDuX1ps073rKlS7uVJ1m6J1GO5eW84weGABIG4CMB+sWlGmT9y5Vp+4c60kyTRNfXD5ql45ZejlkxG9eiqio+cGdHFwSH/39kX93dsXJUk2m3T32vJoAmqrXQ9uqdJda8tVTEkAAOOyOsLpmWee0ec///mUtxmGocbGRv3kT/6kPvvZz2brIecUZ+oA5MvYmKlQ+Fq0HtR4Eqr3jKG+FGcglxQX6f4NFardFF2Vpm6TXXetXakSpuMBaeXjGE/cBGChuD48qtfO9uuVUxG9cjI6Cupk5HpSu5Vlxdqzya4HtkZHQT24xa51FayKByw2eRnh9MEHH2hgYCDlA9rtdnV0dOgLX/jCgg2cACBfiops2rFqhXasWqGG+zdIip6BPBW5rp4zhnrO9Kv3dPRf4/rwxEiol05KkpaWFGnXxspoEmp8JNQda1ZyFhLII+ImAAvFstJiPbLNoUe2OazrLgzciI6COhXRqycjOnLG0JWhUX032KfvBvusdlvsy/TQ1iqrHtTujZVaVko5AKAQZDXh1NLSor179+qZZ57R/fffn7KN0+nM5kMCQMGy2Wza6liurY7l+on7JpJQob5r6j3Tr54zhnpPG+o9G52O9/LJiF4+GbHuv7y0OFoLykpCVeq2VStZHQ+YI8RNABaydRVL9eP3rNOP37NOkjQ6Zuqdi4N65VREL5809OqpiN6+OKhTxnWdMq6r4/VzkqSSIpt2baiIroi31a6HtlRpx6oVFCQHFqGsJpwqKyvl8/n0xBNPaM+ePdq3b9+iWWkFABYCm82mmlUrVLNqhfbtiiahxsZMfdB3VT2nDfWOT8ULnO3XlaFR/eB4WD84PlFDprysRK6NlVZNqNpNlaqpXkESCsgB4iYAi0lxkU33rq/Qvesr9PkHt0qSBm4Mq+f0+FS8UxG9csrQxcEh9ZzpV8+Zfv3Ri9H7OpaX6sEtVXp4W5Ue3lqlBzZXUZAcWASyWsMpxjAMNTc3q7OzU/39/XI6nXK5XOrv79c3v/lNbdu2LdsPOSeoRQBgsRgdM/Xeh1eio6DGp+MFzqZeHa9yaYlqx5NPdZuj/253LOdMJBaVfB7jiZsAFArTNHUyct1KPr1yMqLA2X4NjSTGH0U26Z51FVYC6uGtjIIC5pNMj/E5STjF8/v91iUQCMhms8npdMrtduupp57S3r17F0wQQuAEYDEbGR3Tu5euRM86jiegjp7t142R5CRU9fJSPTC+JPIDW+zas9mu1SvL8tBrIDvmyzGeuAlAobk5MqbXzw3o5VMRvXQirJdOpi5IvmrFEj28tUoPjSeg9my2a0UZo6CAfJg3CafJUgVS3d3devLJJ+eyG7NC4ASg0AyPjumdi4PqOR2tCRU406/Xzw3o5mhyEmpb1TIrCbVns12uTZVaSSCIBWK+HuOJmwAUonP9N/TSyWjy6eWTEfWeSR4FVVxk0/3rK6IJqG1VemSrQ9scyxgFBcyBeZtwitff36+enh7V1dWpsrIyX93IGIETAEhDI6N649ygXj0dUc9pQ6+eMvTuh1c0+WhSZJPuXleuPZurrFFQ96wrV2lxUX46DkxhIRzjiZsAFKqhkVG9dnZAL50M6+UTEb14MqKz/TeS2q0tL7Om4D28rUq1m+ysiAfkwIJIOC00BE4AkFr/9WH1nulPSEKdSREILi0pkmtT5fhUvOhoqJpq6kEh/zjGZx/7FEAunTau66UTkehIqBMRvXauX8OjiT9tS4tt2rWhMqEW1GY7o6CAW0XCKQcInAAgc+f6b+jIaWP8EtGrpwz13xhJaudYXmpNw4slotaWUw8Kc4tjfPaxTwHMpevDowqc6ddLJydqQV0YHEpqt6FiqR7ZNlELyrWpUmUljIICZoKEUw4QOAHA7I2Nmfqg76pePWVYiajXUqxMI0lb7MusaXh7NttVu8nO8sjIKY7x2cc+BZBPsRXxXjwxUQvq6LkBjY4l/vxdUlyk2k2VemSbQ49ur9Kj2xwshAJMg4RTDhA4AUB23RwZ05sXBnTklKFXTxs6csrQO5cGk+pB2WzSXWvK9eDWKj24xa6HtlbprrXlKi5iSDyyg2N89rFPAcw3V4dG1HPGsBJQL52I6MOrN5Pa7Vy1Qo9uc+iR8QTUHWtWMg0PiEPCKQcInAAg9wZvjChw1rBGQr16ytApI3l55JVlxXpgvCD5Q1ur9CBT8XALOMZnH/sUwHxnmqaCfdf04omwXjgR1ovHI3r74mBSO8fy0mgCanwUVN0mu5ZSjBwFjIRTDhA4AUB+XBi4oVdPG3rlVESvnDT06umIrgyNJrXbVrUsmnwaT0Dt3lhBXQZkhGN89rFPASxEkWs39dLJiJWAeuVURDcmTf9nGh4KHQmnHCBwAoD5YXTM1LGLg3r5VEQvnzT0yslIyql4S4qLtHtjhR7YEi0O+tCWKm1zsDoNknGMzz72KYDF4ObImF472x9NQJ0I64UTEV1MUYw8fhreY9sdun010/CweJFwygECJwCYvwZuDOvIaUMvn4yuiPfyydR1GVavWBI3CipalLxiaWkeeoz5hGN89rFPASxGpmkq1HdNL4xPw3vheFjvXLyS1K56eakeYRoeFikSTjlA4AQAC4dpmjoevqaXT0b0yqnoKKjXzvVreDTxsGezSXevLR8fBWXXQ1uqdCcFyQsOx/jsY58CKBThazf10omINQrq1VMG0/CwqJFwmiWv1yufz5fyNgInAFjYbgyP6ui5gfEkVHSFmpOR5ILk5WUl2rPZrgfHE1APba0iKFzkOMbPDnETACSLn4b3wvHoSKhLV9Kvhvfodoc+4nRo56oVTMPDgpDpMb5kDvs077W1tamnpyff3QAA5MjS0uJoLaetVdZ1FwZu6JVThl4+FdGrJyN69bShwaERPfvBZT37wWWr3c5VK/Tw1io9vK1Kj2xz6C5GQaHAETcBQGpLSoqiU/e3VulXPlpjrYYXSz69eCI6De/9y1f1/uWr+tOe05KkteVlemybQ485HfrIdofuW1+hkuKiPD8bYPZIOI0LhUKy2+357gYAYI6tq1iqH79nnX78nnWSogXJ374wGB0BdSqil09EdOzSRFD4571nJEVHQT201a6Htjr0yLboqnj2ZdSCQmEgbgKAzNlsNu1YtUI7Vq3Qz+zZLGliGt4PxkdBvXrK0MXBIX3rzfP61pvnJUVjjYe3VlkJqAe2VGkZdaCwgCz4KXWGYainp0fNzc3q7OyU0+lMatPV1WUFRsFgUPv375fL5Upo097eLrfbrYaGBvX29qZ8LIaGA0Bhily7qZdPRvTS+OWVUxFdGRpNaGOzSXetKdfD26r08NboKKjbVjM0fqEolGM8cRMAzE83hkd15LSh549PTMMbuDGS0GZJcZHqNlfqse3V+sj26FQ8TnYhHwpiSl0gEJDf75fL5VIgEEjZxu/3y+fzqbu727qutrZWhw8fts7M+f1+7du3T+FweC66DQBYYKqWL9En7lyrT9y5VlJ0FNRbFwb04omIXjoR1ksnIwr2XdPbFwf19sVBPfPKKUnRFWoe2lqlh7c59MjWKu3ZbNeKsgV96MUCRtwEAPPX0tJifcRZrY84qyVFY403zw/o+eNh/SDUp+ePh3VhcEgvnojoxRMRtX03erLr3nUVemy8BtRHtldrQ+XSPD8TYMKCjnpdLpdcLpcMw0jbprm5WS0tLQnXud1utbe3q6mpSVL0bJ/dbidwAgBkpLjIpvs3VOr+DZX6wiPbJEkXB4f08smIXhxPQPWcNtR3bVj/cOyS/uHYpYn7ra9IGAW1tWoZo6AwJ4ibAGDhKC6yadfGSu3aWKlffmy7VQfq+fHk0w+Oh/XB5at64/yA3jg/oD968YQkyVm9XB/Z7oiOgqIQOfJsQSecMhEIBJKGgdfU1Mjn86mpqUltbW2y2+3W8HHDMNTV1SWPx5OnHgMAFqK15WUJtaBujozp6Ll+vXgiYiWizvTfUOBsvwJn+/XfXzghSVpXXqZHtlXp4a0OPbytSq6NlVpKfQbkCXETAMxP8XWgfu6BLZKk8wM39IPj4fFpeH16/dyAQn3XFOq7pj/ridacnFyI/P4NlSx6gjmzqBNOseHiDocj4XqHw6FQKCRJ1tm6WPtDhw4RNAEAbtmSkiI9sKVKD2yZWBHvtHFdL52I6MWTYb18IqLA2X5dGBzSt9+8oG+/eSF6v+IiuTZVjo+AqtKj2xxaV8HweOQecRMALCzrK5aq4f4Narh/gySp//qwXjoZ0fPH+/SDUFivnk5diPyRbVV6bLtDj1GIHDm2qBNOUw31njycPBQKyefzKRQKqb29XY2NjWnvOzAwkPB3WVmZysrKbqmvAIDFb7N9mTbvWqZ9u6KB4fXhUfWeMRJqQV26Ei1Q/vLJiH7vuej9aqqX69Ft0eKgj25z6I41K1XE2clbMjQ0pKGhIevvycf2QkTcBAALW+WyUv3IHWv0I3eskRQtRN5zxtDzoegUvFgh8n/54Yf6lx9+KGmiEPnjzmo97qzWo9scKl+6qNMEmIXZxk0LfpU6KRoEVVVVKRgMJqy2EggEVFtbm3R9V1eXGhoaNNOnHqvEPtlXv/pVfe1rX5t1/wEAkCTTNBXqu6YXT4ajI6FORPTmhQFNPlw5lpfqka3jCajtVarbZGca3gx97Wtf02/+5m8mXV8IK6oRNwFAYUpXiDxecZFNro2xBJRDH3FWsxIeZh03LerUZWw1lclutcjl6dOnE3YqZ+kAANlgs9lUs2qFalat0OdqN0uaGB7/wonoMsmvnIoofG1Yf3/sov7+2EVJE2cnY6OgHtlWpVUrODZNpaWlRb/yK79i/T0wMKDNmzfnsUf5R9wEAItbqkLkob5rei7Up+dDYX0/1Kfj4Ws6ctrQkdOG/sv3g7LZpPvXV+jxmmorCUWMUXhmGzct6oRTrAbB5GHghmEkFcSciYqKikV/9hMAMD9MHh4/PDqm1872WwmoF05EdDFumeTf/V5QknTHmpXWFLzHtjtUU72cVWriMK0rGXETABSW+BNdsULkp43r+n6wT8+Fopf3Pryqo+cGdPTcgP7g+eOSpLvXlo8noBz6qLOaWpMFYLZx06JOONntdrndboVCoYRAKRgMyu1257FnAADMTmnxRDHyLz5eYy2T/MLxsH5wIqwXj4d17NIVvTt++R+vnJIUXaXm0W1VemQ8AbV7Y6VKi4vy/GwwnxA3AQA225fpp2s36adrN0mKroQXTT6F9VywT29fHLQuf/ziCUnSbatXWDWgPlpTrc32ZXl8BphPFnUNJ0ny+/1qbW1Vd3e3dV1tba0OHz6cduh4OrFaBIVQ3wEAsHD1Xb2pF09EC4S+eCKsI6f7dXN0LKHNstIiPbhlIgH18NYqVRZwjYZCOsYTNwEAZuvDK0N6/ng4moQK9un188m1Jrc7lutxp8NKQG13MMp6scn0GL+gE07xK6R0dXXJ7XbL5XLJ6/UmFbsMh8NyOBw6cuSI9u/fP6uh4QROAICF6MbwqHrP9EdXqDke1osnwwpfG05oY7NJ966rsJZKfnSbQ1sdy/PU47lXCMd44iYAQLZFrt3UD46HoyOgQn0KnO3X6FhiimFT5dLoCKiaan3UWa3bVq8gAbXAFUTCaa4ROAEAFoOxMVPvXroSVwcqrGDftaR2m+1L9ZHt1Xpse/Qs5Z1rVy7aAJFjfPaxTwGg8AzeGNELJ6IFyJ8P9enIaUPDo4kph7XlZXp8u8NKQN21tlxFRYszvlisSDjlAIETAGCxujBwI5qAOhHRC8fDeu1sv0YmnaGsXl6qx7ZHl0j+yPZq7d5YoZJFUgeKY3z2sU8BANdujuilkxGrBtTLpyIaGkmc5l+9vFQfGZ9+90TNKt2zjgTUfEfCKQcInAAAheLq0IhePhXR86Gwng9FA8Trw4kB4oolxXp4a9V4AsqhB7dWaVlpcZ56fGs4xmcf+xQAMNmN4VG9esrQc8ejNaBePBHRteHRhDbVy0v10ZpqfbRmlZ6oYQTUfETCKQcInAAAhermyJgCZ/v1fKhPz4eiK+IZ1xPrQJUW27Rns12PbY8moB7d7pB9gRQi5xiffexTAMB0bo6MqfeMoe+H+vT9YJ9+cDysqzcTE1CrVizRx2omRkAt5in+CwUJpxwgcAIAIGpszNTbFwejI6COR5NQ5wZuJLSx2aT71ldEp+Ftr9ZHnA6tr1iapx5PjWN89rFPAQAzNTw6pp7Thr4b7NP3g5f1g+PhpBHWa1Yu0cdqVkUTUDuqdftqElBzjYRTDhA4AQCQmmmaOh6+pufGE1A/CIX1/uWrSe12rFoxnoCK1oKqqZ4fSyVzjM8+9ikA4FbdHBnTkdOGvhu8rO8H+/TC8bBuTKoBta68bGIE1I5V2rmKVfByjYRTDhA4AQCQuQsDN/T88bCePx7WD0J9ev38gCZHHesryhJWwstXoVCO8dnHPgUAZNvQSLQG1PeCffreB5f14snkIuTrK8r0sZpV+lhNtT5WU60dJKCyjoRTDhA4AQAwe8b1Yb14YiIBdeR0v26OJgaJ9mWlenRblR7bXq3HnQ7VbbardA5WwuMYn33sUwBArt0YHtUrpyLjCag+vXQykhRbbKxcOp58iiahnPNkdPVCRsIpBwicAADInuvDo3r1VGQ8ARXWiyfDujKUWCh0eWmxHtlWpcdrqvVRZ7Ue2GJXWUn2V8LjGJ997FMAwFy7Pjyql09GrBFQL5+KaHg0MeWx2b40bgTUKm2vXp6n3i5cJJxygMAJAIDcGRkd09FzA1YNqOdCfeq7lrgSXllJkR7aMpGAemirXcuXlNzyY3OMzz72KQAg367dHNHLJydqQL2SIgG1tWrZeA2oVXqiplpbHSSgpkPCKQcInAAAmDtjY6b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wWOFwWDU1NXFtiZ2mbzLvm4mkEkdP5vWdjJyInTI9pw8zy5xras4fTVRDIHrbeHUIDGO0YOLYNo2NjdbcVYfDETcftq2tLaXifGN5PB6rCKDL5TJqa2vHLe7mdrsTzktPViDR3KdZH8HlcsXMfR77u6muri7muAWDQcPhcMQ8x0TbzH0mOsZj9znTNIU6BImKWdbV1SUtzjeZ187lck26EGe21SEwBYNBqxaDx+OJm9dt/h0lm6PtdrutYzGZtslMdR/Rc9XNOfGzxePxGA6HI+4909jYmJWveTqkerzH1m5qa2sz3G53SvUoZvu9B8xFxE6j+yF2ikXsNHvMOCBZbRxTsppF5t/c2Bpoieo6TWSiuM5kFik3X8PxavvMhFyMncZK9L5xuVwJn/9kFwKYyus7UQ2nXEDCaZ6L/gKTLKCI/gOYKGgyjNGTYfQfWPTjmNX4o4OFyRS8HMv8kDT/uCUlDEYMw0hYMHC87WM/lMZ+aCT70je2aFyyIn3miWkq+5xpkw2aamtrk743Ep3cDGNyr91UTDZoqqurs4KzyfxM9STR3d1t1NfXx62GMhcSTvX19TF/D5lIOCV7bV0uV8p/L7P9mk/VZI53oi9X5vtsIiScgIkRO42/ndiJ2Gmmz6NmMf2J9tHS0pLw78Q8fylBoXUzATDZBTfM/SaK66I1NjZaRcWVZMW0mZJrsdNYyd43yT4/zFUPJxPLTPb1JeFEwmnei/5gMSv0R3/wjn3zpxI0jV1xpbu7O+YLUKIVV6YTNEUzVwgw/8jHBjnJTqLJtk+0NKx5whq7xGr08zHbJHqO5nLJk93nbJhs0JTsKq9hRILDiT6sJ3rtpmKuXKUzv0hE/+2N90V+7BXLybRNZjL76OjoSPlkPVM8Hk/Sz6La2tqUVxWZC9JxvM1V41IJaGb7vQfMNcRO428ndiJ2mmkOhyOlkWsulyvp6N7xEgnTTQQliusMI/K3YX4+BINBK9HscrlmZaRTLsVOiYz3vnG73XG3mavUpfr3MJXXl4QTq9TlFHM+aH19vbUtUbG1iYxdcaW5udnaJkXmVzscDmuOtN/vn1IhtUQ8Ho/q6+ut4m67d++e9j6T1SeRRot9RhcNbWpqiplba877DQaDampqivmRYo93sn02NzdPar5uKBRK+JNuZvFKcz70eLVcJnr8mXjt5gqzPkeqc+i7urpSruMzmbap7mPPnj1ZvRqOWWQxUY2LTCgvL1dpaWnKP+Xl5TF/L+k43pMpfDme2X7vAdmO2CkxYqfkiJ2mp6amRrt27ZrwtTVXDRuvKHiyc5TD4ZjWa58orvN6vaqpqbHO5y6Xy1pRLxQKZbyO0nyLncaa6H3T0dGhYDAYU0+turpa4XBYlZWVE/Y321/fbFaQ6Q5gdlVXV6u5udn640jlD2wsh8Mht9ttrbgSDAbjPtC3b99uFbMNBAKqq6ub9OP4fL64gMPk8Xjk8XgmXSw3kYm+MJkfMOZJrbOzM+Y+ZiBRVVWV8pfGsftMdAzHM7aopskwjJT3kQqzKOpkg+vZeu2yTUVFhZxOZ9yXfvM9Ev2cHQ5H0uM69uQ3mbbJpLqP1tZWq2hpNPPLgbm9vr6eZMOIYDA45ftO9nibnxsdHR0J95fK3+psv/eAuY7YKR6xU3LETlPn8/m0bdu2lN77jY2N4yabzILhiaSadJlMXNfU1JTwvWSuQpmORQHmk+nETmOl+r4Z+/dlvg/Ky8snfAxe36kj4ZRjvF6vWltbrRUWploF36ykv3v37oR/pDU1NWpqalJjY2NKf8SJTHRSdbvdKV+dmMrVSFP00sg7duyIW/XAvAI5mSslZnDV2Ngor9c7qZUUJCX9splO0cuhm8F1sufY1dUVc9JP52uXTj6fb9wlh5PZtWtXSgGxucrYWOb7L/pq9fbt28ddFSN61ZnJtE0m1X1UV1cnfK5er1eBQGDaS4SnQzgclsPhSOmLxky/5tM12eM90Xsslc+S2X7vAXMdsdPkETsRO032PNrU1KSysrK4pMHY0XEmv98/bhzg8XjiVoaMlkrieDJx3Xiqq6sznpCYT7FTtMm+b6KZz3G6q8Jlw+ub1TI7ow8zLVFxOHOlj0RzXFOpQ2AYscX4ks1ZdTgcUy7KZxiJ59qOvX3sfNja2tqE87WT1RpJVrByrLq6OsPhcCQttmcW10skWf0Tcy71bNcfMGmCOgTV1dUxr12y4qHmvqJfq6m8dlORbXUIkq1cYtZfiH7OZr2Ose0TbZ9M22Smuw+zXsFsGa9GSCb/bmZLsuOd7DPIrPmU7vdCOt57wFxD7BRB7BSP2GlmtLW1JX1Nk21XgpUfo5m1c8bWWTJrHqZShH0ycZ3b7U76d9vY2Dgr79lci51Sfd+YtZrGvpaJVjFMZqqvLzWcKBo+r5nFzMYa74vJRCfSaMlWbjFNtzid2+22lv9OtAJKoudmfgmK1tLSYq2oMtZ4xfWimR8W463u4Ha74z5sWlpakn44mSe82V5hxTBGg95kr1+iYojd3d2Gy+WKC4YSrcAyldduqkv7ZlPR4mAwaFRXV8c8Z/O9kyh4No9RtOiChFNtm+xYTmYfie471YSTw+GY9OtkfqEZ+/dTV1eX0t/sXJfseHd3d8e9lzo6OpKudpSO98J03jfAXEPsFEHsFI/YaWYEg0HD5XIZtbW1Rl1dnVFXV2fU1tZaxyjRucZ8LSZ6HyaKGdxud9Kk8tjjMpm4znweiRJcUylQTuw0vsm8b8yVH6PV1dUlfV2SvRem8vqan1mpFMGfr2yGkeaJy8gKNTU1Vp0Al8slr9drDTUMh8PauXOnVbhSigzzDoVC1tDC6urqCefCmoUdkw1D9Pv9amlpmfIUHK/Xa9VLaGxstObZdnV1jdu3hoYG7du3zxpq7Xa71dLSoubmZrlcLu3atUsul0u7d+9Wa2trys+3qqpqwvniZsG4srIySZHhvOMNty0vL1dLS0vaCoNOxHztQ6GQNXS7urpaTqdTXV1dCofDam9vt451oo+H6OcYDAZVUVER9x6YymuXbJ58ImZxPvM9Xl1dLa/XK4/HM5nDMSPC4bB8Pp9VnDEUCsnr9SYdYtzQ0KDOzk7reI5XzyLVtuMdy8k8nhT5O29ra7P+VtxutyorKyf1d11RUWHVHRrv7yeaWcvC7/erra1t3PfbfJLK8Y5+j5nTK3bt2pXwcyRd74XJvm+AuYjYidgpEWKnmTVRMeiOjo6Er3Vpaalqa2uT1r0ymedV8/XasWPHpGKnycR1oVAorj/l5eVTqsdG7DS+yb5vfD5fTO2u8Y5JsvfCZF5fn89nfWaEQiFr4QOn05kV5SlmU84lnMz5qya/369QKGStFDGVDwRgqsYrEAnMJ2aQPltfEACkD7ETsgmxE3IFsRPmg7xMd2C2tLa2qqmpSQ8++GDM9vr6etXW1lrFDc0rT8BMC4fDUy4KCsw17e3tKV+hA5AdiJ2QbYidkEuInTAf5EzCqbq6Om7I6NjVDSorK2OGSgPpFAgErCHVktTc3Kzt27dnsEfA7Bk7QgJA9iN2QqYROyGXETthPpgTCadwOCy/32/NZU2ktbVVDQ0Nampqks/nm3BpUSlyEnM6nTHbxlv+GZiOPXv2WHUPwuGwnE4nJxHkhOg58wBmB7ET5gNiJ+QqYifMFwWZ7sBEAoGA/H6/3G530kDI7/ersbExprBXRUWF9u7dO6mTEicwzKRdu3ZJihTmlETNC+SMpqYm3u/ALCJ2wnxB7IRcReyE+SLrE05ut1tut3vcLK/P57NOSCaPx5PSH2pXV5f1fzLJmEkOh4Mil8hJBEzA7CJ2wnxB7IRcReyE+WJOTKmbSCAQiKveX15erj179ox7v7H36erqUmVlZdr7BwAAkE2InQAAwEyb8wknc6j42HoC5lK94/F4PDFtQqGQampq0t9JAACALEHsBAAAZkPWT6mbSPSw7rGih3n7/X61tbUpFAqpqalJHo9HLpdL9fX1amhokMvlUjgcHnf44vDwsA4dOqTCwkLZbDZre1FRkYqKitLyfAAAwMzr7+9Xf3+/9bthGBoYGNCmTZuUlzfnr8eNa7ZiJ+ImAADmhynHTcYc0d3dbUgygsFgzPaOjo6E21taWox0P71gMGhI4ocffvjhhx9+5unP0aNH0xo7ZFKmYyfiJn744YcffviZ3z8TxU1zfoRTstVRxrt6N1WFhYWSpBdffFGrV6+2tufilbre3l6tX79eR48eVUlJSaa7k3Ecj1Eci1Eci1Eci1gcj1GZOhZjr9T19fXphhtuUHFx8az1IVNmK3YibhrF33wsjscojsUojkUsjscojsWouRY3zfmEk1l/YOwqKeFwOK6w5XSZw8FXr16tdevWpXXfc1VJSUnO/9FH43iM4liM4liM4ljE4niMyvSx6O3tlaSYqV/z1WzFTsRN8TL9Ps82HI9RHItRHItYHI9RHItRmT4WqcZNc75IgcPhiCtgKUnBYFAejydDvQIAAMhOxE4AAGA2zPmEkyT5fD41NjbGbGtvb9euXbsy1CMAAIDsRewEAABmWtZPqQuFQmpsbLSuwnm9Xrndbnm9XrlcLkmRJXrD4bCamprkdDq1b98+Pfroo0lrFEyVWW8g1+oOJFJUVKQvf/nLHIsRHI9RHItRHItRHItYHI9RHIv0y5bYibhpFO/zWByPURyLURyLWByPURyLUXPtWNgMwzAy3Ym5ore3V3a7XT09PcwdBQBgHuEcn34cUwAA5qdUz/HzYkodAAAAAAAAsgcJJwAAAAAAAKQVCScAAAAAAACkFQknAAAAAAAApBUJJwAAAAAAAKQVCScAAAAAAACkFQknAAAAAAAApBUJJwAAAAAAAKQVCScAAAAAAACkFQknAAAAAAAApBUJJwAAAAAAAKQVCScAANIoHA7L6/WqvLxcNptNDQ0N47YPBAKy2WwqLS2V1+tVIBBQU1OTqqqqZLPZVF5eLq/Xa7VvbW1VTU1NzH2iNTU1qby8XKWlpaqpqZmwrz6fz+prVVWVfD5fTJvo22tqahQKheKeo3k/n88nr9ermpoaeb1ehcPhcZ+31+uVz+dTQ0ODdf/x7gMAAOYX4qZ5HjcZSFlPT48hyejp6cl0VwAAWa6lpcWorq42XC7XuO0aGxsNl8tl1NbWxt0myaiurk54P5fLZXg8noS3tbW1GfX19Sn3tbGx0ZBkdHR0JLw9GAwm7F9LS4shyeju7o67rba21nA4HAlvq6urM6qrq+Nu6+joMNxut9HW1pZy39OFc3z6cUwBAKkibpqfcRMjnAAAmCFer1ehUEiBQCBpG6fTmfS26upq+f3+hLe53W75/f6EV7ZCoZDq6uom3V+Hw5Fwu8vlUnl5+aT2VV9fb10JjNbQ0KDW1la1tLTEPZ7b7VZ9fb2qqqoUCoUm9XgAAGBuI26af3ETCScAAGaIy+WSx+PR7t27E97e2tqq6urqpPc3h1cnC54kqbm5OW5bNgyvNoOirq4ua1soFJLP51N9fX3S+3k8HlVXV084rB0AAMwvxE3zL24qyHQHAAC5xTAMXbwylOluTGjxgnzZbLZp78ecm59IdFCRiMfjkcPhUGNjozwej7U9EAho165dCgQCamlpUW1trXVbKBSS2+2edr+nq7W1VZJiaiWYAdN4waIk7dixQzU1NfL7/dbzbm1tVVdXl5xOp7q6utTR0aGampqY4wIAwHxD3DSKuCmxbI6bSDgBAGbVxStDKv7d/850NybU98cf0JKi6Z8mq6ur5XA41NTUFBfgVFZWTnj/7du3q6mpKWab3+9XXV2dqqur1dDQoHA4bF0Z8/v9MY8z28LhsJqbm1VfX6+WlpaYwKa9vT3p8PNoLpdLktTW1iaPx6NQKKS2tjY1NjZabSYqKgoAwHxA3BRB3JRcNsdNTKkDAGCGbd++PeakL0UCnFSuqJlX+aKHh5vBh3kVLHp4eCaGhTc1NVk/zc3NCgaDqq6utgIgUygUGrf2wljmcwkEAnG1CSa62gcAAOYm4qaI+RA3McIJADCrFi/IV98ffyDT3ZjQ4gX5aduX1+tVU1OTQqGQFUykGkCMHR4eCASsK3wul0sul0uNjY2qra3N2LDw2trauCtwgUBAFRUVVt8kWcO6J2K2Mffp8Xi0c+dOlZeXq7q6WlVVVfJ4PHGBGQAA8w1xE3HTRLI5bmKEEwBgVtlsNi0pKsj6n3TUITC53W5rJRFJMXPsU7F9+3Zrbv/YK3zV1dUKBAJWkcypzM03g7h0XuVzu92qrq6OqUXgdrsVDocnfBxzdZqqqipJkQDq4MGD8ng8am1tVVVVlcrLy7OiyCcAADOJuIm4aS7HTSScAACYBV6v1xrCHV07IBXm8PDW1ta4+yUaHj5ZZiCWbEndQCAwpati5n3MQGjXrl2SJu7rnj17rJVqzPubVyuDwaCCwaBcLlfSVWwAAMDcRtw0P+ImEk4AAMyC7du3KxwOq6GhYVJBkzQ6PNzn88UVzDSHh9fX1095qLTL5ZLb7VZbW1vC2/fs2TOlK4BmwGQGZm63W3V1dfL5fEnv09raaq0iYwqFQjG1GMzh8Ob+AQDA/ELcND/iJhJOAADMgFAoFHPly+FwqLq6Om6p3lRt375dkhLWGvB6verq6prWUrctLS1qbm6OCVCkSGHLbdu2TTrYa21tld/vt4bDm+rr61VbW6uqqqq4od1+v18+n09tbW1xz3PsfkKhkDV0HAAAzG3ETfMzbqJoOAAAaRQOh+Xz+dTc3Cyn0ymPx2OttLJr166YwKS1tVVtbW0KhUJqbm6Ww+HQjh07EgZHNTU1SYOX6upqBYPBafXb5XLp4MGDVuBiMgtNjn2Ou3fvtuoj7Ny507pKGA6HrYDRXJ53rPr6egUCAe3evVtlZWXW9s7OTnV0dCR8njU1NTFXOcPhsOrq6qb1nAEAQGYRN83vuMlmGIYx6486R/X29sput6unp0clJSWZ7g4AAEgTzvHpxzEFAGB+SvUcz5Q6AAAAAAAApBUJJwAAAAAAAKQVCScAAAAAAACkFQknAAAAAAAApBUJJwAAAAAAAKQVCScAAAAAAACkFQknAAAAAAAApBUJJwAAAAAAAKQVCScAAAAAAACkFQknAAAAAAAApBUJJwAAAAAAAKQVCScAAAAAAACkFQknAAAAAAAApBUJJwAA0igcDsvr9aq8vFw2m00NDQ3jtg8EArLZbCotLZXX61UgEFBTU5Oqqqpks9lUXl4ur9drtW9tbVVNTU3MfaI1NTWpvLxcpaWlqqmpmVRfq6qq5PV65fP55PV6rd/D4XDanyMAAABxU2rPcc4ykLKenh5DktHT05PprgAAslxLS4tRXV1tuFyucds1NjYaLpfLqK2tjbtNklFdXZ3wfi6Xy/B4PAlva2trM+rr61Pua2NjoyHJCAaDSfvX0dERd1s6nmO24ByffhxTAECqiJvi9zEf4iZGOAEAMEO8Xq9CodC4V6acTmfS26qrq+X3+xPe5na75ff7466iSVIoFFJdXV3K/RyvD7W1tfL5fHrwwQcT3j7d5wgAACARN6Wy/7mGhBMAADPE5XLJ4/Fo9+7dCW9vbW1VdXV10vubw7KTBU+S1NzcHLctUTA1HbW1tXI6nfL5fHG3Tfc5AgAASMRN0vyLm0g4AQAy4kL/YNKfywNDKbe9NI22F68kbpdOXq9Xra2tCW/r6uoa974ej0cOh0ONjY0x2wOBgHbt2iWXy6WWlpaY20KhkNxu9/Q6naQvyWoOTOc5AgCAiRE3ETfNRQWZ7gAAIDcV/+5/J73tg9et0Pc/c7v1+8qvPKGLY4Ie0/2uMj31P++yft/8tb06d+FKwraV6+x68bfvs36/8Rs/1uHuS3Hthr/5kQn7n6rq6mo5HA41NTWptrbW2h4KhVRZWTnh/bdv366mpqaYbX6/X3V1daqurlZDQ4PC4bAcDod1W/TjpEt5ebnVb5fLFXPbdJ8jAAAYH3ETcdNcxAgnAABm2Pbt2+Outvn9/pSuqJkrpkQPDzeDJHOllejh4ekeFj72MUOhUMLbp/McAQAATMRN8wcjnAAAGdH3xx9Ielt+ni3m99NfeShp27wxbQ/+TuIijYnavvbF98gwxutleni9XjU1NcVc5Uq1IGT08HCPx6NAIGBd/XK5XHK5XGpsbFRtbe2MDQuXRgOysVfpTNN5jgAAYHzETcRNcxEjnAAAGbGkqCDpz8LC/JTbLppG28ULErdLN7fbLbfbrfr6ekmRK1gejyfl+2/fvt2a6z/26ld1dbUCgYBVJHMy+52MYDAoKXngNN3nCAAAkiNuIm6ai0g4AQAwC7xerzWEO7p2QCrM4eGtra1x90s0PHwm+P3+CVdNmc5zBAAAMBE3zQ8knAAAmAXbt29XOBxWQ0PDpAMKc3i4z+eLKyZpDg+vr69PehVtulpbWxUKhfToo4+O2246zxEAAMBE3DQ/kHACAGAGhEKhmEKRDodD1dXVVk2Bydq+fbskJaw14PV61dXVNeWh2OMtwdva2iqfz6eOjo64YCjdzxEAAOQm4qb5GTdRNBwAgDQKh8Py+Xxqbm6W0+mUx+OxViHZtWtXzKopra2tamtrUygUUnNzsxwOh3bs2JEwOKqpqUl69au6utqqFTCVvpp98nq91mObAZHL5YoLmmbqOQIAgNxC3DS/4yabYcxGnfn5obe3V3a7XT09PSopKcl0dwAAQJpwjk8/jikAAPNTqud4ptQBAAAAAAAgrUg4AQAAAAAAIK1IOAEAAAAAACCtSDgBAAAAAAAgrUg4AQAAAAAAIK1IOAEAAAAAACCtSDgBAAAAAAAgrUg4AQAAAAAAIK0KMt2BbBAIBNTe3i5JCofDqqury3CPAAAAshNxEwAASAUJJ0l+v98KlkKhkJqamlRbW5vhXgEAAGQf4iYAAJAKptRJ2rNnj8LhsKRI4AQAAIDEiJsAAEAq5vwIp3A4rPb2dvl8PrW0tMjlcsW1aW1tVSgUksPhUDAY1I4dO+R2u63bKysrtXnzZtXX1zM0HAAAzFvETQAAYLbM6YRTIBCQ3++X2+1WIBBI2Mbv96uxsVFtbW3WtoqKCu3du1cOh0OSVF9fr66uLnm9XlVXV89G1wEAAGYVcRMAAJhNc3pKndvtVl1dnSorK5O28fl88nq9Mds8Ho+ampokRa70mVf5uru7rd8BAADmE+ImAAAwm+Z0wikVgUAgZhi4JJWXl2vPnj2SpObmZtXU1EiSHA6H2tra5Pf7Z72fAAAAmUbcBAAA0mVeJ5zM4eJOpzNmu9PptIpculyuuIKXHo9ndjoIAACQJYibAABAOs3pGk4T6erqSnqbubqKOUw8eqj4rl27xt1vb29vzO9FRUUqKiqaXmcBAMCs6e/vV39/v/X72HN7LiJuAgAAiUw1bprXCSfzCl1XV5dV6DKR2traSe13/fr1Mb9/+ctf1le+8pXJdg8AAGTI7t279dWvfjXT3cgqxE0AACCRqcZN8zrhlCxYGu8KXiqOHj2qkpIS63eu0gEAMLfs2rVLn/vc56zfe3t74xIjuYa4CQAAJDLVuGleJ5zMK3XmMHBTOByOK4g5GSUlJTGBEwAAmFuY1hWPuAkAACQy1bhpXhcNdzgc8ng8ccUtg8EgBS4BAACiEDcBAIB0mtcJJ0ny+XxqbGyM2dbe3j5hgUsAAIBcQ9wEAADSZU5PqQuFQmpsbLSuxHm9Xrndbnm9XrlcLkmR1VTC4bCamprkdDq1b98+Pfroo+MWwwQAAJhviJsAAMBsshmGYWS6E3NFb2+v7Ha7enp6qEUAAMA8wjk+/TimAADMT6me4+f9lDoAAAAAAADMLhJOAAAAAAAASCsSTgAAAAAAAEgrEk4AAAAAAABIKxJOAAAAAAAASCsSTgAAAAAAAEgrEk4AAAAAAABIKxJOAAAAAAAASCsSTgAAAAAAAEgrEk4AAAAAAABIKxJOAAAAAAAASCsSTgAAAAAAAEgrEk4AAAAAAABIq4LJ3uG73/2uurq60t4Rp9Opj3/842nfLwAAQKYQNwEAgFw16RFOu3fvliQZhpHWH5/Pl/YnBwAAkEnETQAAIFdNeoSTYRj6zGc+k/aO1NfXp32fAAAAmUTcBAAActWkRzjt2LFjJvohr9c7I/sFAADIFOImAACQq2yGYRiZ7sRc0dvbK7vdrp6eHpWUlGS6OwAAIE04x6cfxxQAgPkp1XM8q9QBAAAAAAAgrVJKOD322GN65JFH9NRTT1nb3ve+9yk/P19XX321vve9781YBwEAAOYS4iYAAIAUioZ/4xvf0O7du+VyudTU1KTGxka9++67CgaD2rlzpzo7O/XpT39akvSxj31sxjsMAACQrYibAAAAIiZMOAWDQXV1dVm/f/azn1VpaanefffdmHaPPPIIgRMAAMhpxE0AAAARE06pq6ioiPm9vr5elZWVce1cLlf6egUAADAHETcBAABETJhwCofDOnDggL75zW9Kkux2uzwejyTp0KFDOnTokCSps7Nz5noJAAAwBxA3AQAARNgMwzDGa9DT06OdO3fq4MGD2rdvX8xtDz30kDo6OrR9+3bV1dVp8+bNM9rZTGN5XwAA5qd0neOJm0YRNwEAMD+leo6fMOE0np6eHrW3t+vBBx+c6i7mFAInAADmp9k4xxM3AQCA+SDVc/yEU+rGY7fb44KmvXv3aseOHfrud78bs/3RRx+N2wYAAJAriJsAAEAumVbCaawnn3xSbW1t6ujo0J49e2Ju27lzpzZv3qwnn3wynQ8JAAAwJxE3AQCA+SytCae2tjZ9/etf17vvvhsXOEnS1q1bFQqF0vmQAAAAcxJxEwAAmM/SmnBKRTgcnu2HBAAAmJOImwAAwFyV1oRTd3f3hG2CwWA6HxIAAGBOIm4CAADzWVoTThUVFXrkkUfU19eX8PZdu3bJ4XCk8yEBAADmJOImAAAwnxWkc2c7d+5UTU2NHA6HampqtHnzZpWVlSkYDMrv90uS3nnnnXQ+JAAAwJyUK3HTJ/+lXX+543a5ypZkuisAAGAWpTXhJEktLS1qamrSl770pZi6A9XV1Xr00UfT/XAAAABzVi7ETT9446z2fuPH+vz95dr1wFVaUpT28BMAAGQhm2EYxkztvKenR11dXdq8efNMPcSs6u3tld1uV09Pj0pKSjLdHQAAkCbZcI6fr3HTe/+sTT8+dkmStNa+UN/48A3acesa2Wy2DPcQAABMRapx04wmnOab6QSjhmHIMKQhw9CwYcgmmxYU5Fm3dV0c0LBhaGjY0LChmP8vXpCvlcVFVttXT/XF3B7519CQYcixsFA3rR7tW9vbZzUwNBzTLnJfadmSBXrg6mVW2z0HjuvilSEZkoyRPhgjj7lsyQI9vGWN1fYf9h1Vz+UBGYZkKPLcIv+XnIsL9Wu3bbDaNv3ssM6c79fwcFTbkf3aFxbq8+8pt9r+358e1JHwpchjR7UzJC1ZkK8//sD1Vts/eyaot85csPY5HPVOLsy36VsPb7F+/4ufhPTSid6kr8/fbr/FCny/9dwh7TsSTtr2bx6+WQsL8yVJj71wWM8e7Era9s8/epPsiwolSf/UflR73zmXtO03P3KDli+NvM57DhzXD984I5skm02yySbZIv+XpK8+dK3WORZJkn7w+ml9/43TI21t1n008vvn7nNpk3OxJOnH754baWsb2e/IfUb+/+nbNqh8WWTKw74j4aj9avQ+I22337JGVy9fKkl69WSvfvjmmbg+2GxSns2mD1y3QteMtD3YeVH+d84qz2ZTfp5NeSNtzH9v2+Cwpl2c6evXC0e6R2/Ps1n/z7fZdPXyJVprjxyH3ssDevPM+Zh9Rf9/ZXGRypYskCT1Dw7pVG//yP4i+8qz2ZSXF2m7qDBfi0Ze4+FhQwPDwzH740sSMP9kQ8JpvjGPaTgc1lNHL+pz//maDnVHEk/3bnbqL37+Jt261p7hXgIAgMlKNW6a0THNvb2RL/jzLXC7qeEpGUWLR5I3o4mcX922Xt/8yI2SpLPn+7X+j/xWImhsWu+XK9bpH35hqyTp0sCQln/5R0kfr3rLajX/cqX1+y1/8nTSth+4boV+8Jnbrd8/9vf7dHFgKGHb+1zOmITTb37vVZ29cCVh24p19piE0x8+8ZYVNI513YqlMQmnv/rJQb12OnFB1A2ORTEJp3/uOKZ9R8MJ25YtLoxJOP3Xa6f142BnwrYLC/JiEk7+t8/qB2+cSdhWiiScTE8HO9X80omkbf/yYzdZ/3/uYLf+sf1Y0rZf/9ANMkPpF4+E9c8dydt+5aFrNZKTUeBYz7ht//e9Livh1H4srMbnDydt+4tb11oJp31Hw/rTp0NJ21Zds3w04XQ0rD9qeztp21vW2K2EU/uxHn3pB28kbbuquMhKOHUcC8vb+nLSto9tv8VKOLUfC+ujf78vadu//Pmb9L/uiYwE2H+8R+/91vNJ2+7+4PXyPXCVJOmVk3267S9+krTt71ddo6++71pJ0ltnz+vGb/w45nabTSrIsynfZtNv3efS7g9G3pfHey6p8s9/onybTfl5GvnXFmmbZ9OOW9fq96uukST1XBrQh/72BatN/sj+zPbvvWqZfvs+lyTpyuCwdra8FEmM5cXuOz/Ppq1r7PqVbeut/v3hE28rL7pNVNvNzsX68A0rrbb/sf+4hg1DBXl5KsiPPLb5U7ZkgSrWOay2r57slaHIcy/Mz4tpW1SQp9LFC6y2Q8MGyTlgkuZr3NTXP6gHr1quF37rXv3VTw/qmz9+Vz852KWKP3tGtXdu1B+9/1otW1KkgaFhSaMXQ0b/z2cJAABz0YwknHbt2qWmpiarFoHD4dDv/M7v6POf//xMPNysO9pzWbai+AX+zvePJnbybDZdGQmcEhmOykDlRQVRtujRFjYpP8+mBfl5UbfbtKq4yBo5Yo3OGBn5saqkKOZxtq4t0eXB4Zj9mf/fsib2qqLnmuXquTQQN5olz2aTq2xxTNsP3bBS5y5ckW2k/9GjZVaXLIxp+/CW1bqzt9Tar/kl1KbIaKhon3Sv1b0up/X40ftesiA/pu2vVK7Xe8qXxfTTPJIFebGB6S9Xrtfdm51JXo1Yv7B1rdzrkl9xjX49am5ZretXLk3admlUnz928yptdi5O2rY06lh86PqVWr60yBrdFTOSTLJGvEnSe8rLpIeuiRsRZt5njX309bhtg0NfeE953P7M+6yLanvTqmI9ctempH3YMJLwkqSrli3Wr1SuS9iHYcOIabu6ZKF+7saVGh6WlZA1k7fDw4bWRL1/7AsLdfsGhzXqb2ySN/r9U1SQr02liyK3j9nnkGFoUWHs3+zCgry4/Zqi3z3R202GIQ0MGRpQZKSh6cqgodN9/fF3GHEq6rb+wWE9dyj5kujRz+3K0PC4CcjqLauthJNhGPrKE28lbfuB61bEJJw+3XxAlwYSf1bd7yrTU//zLuv3B7/9fNKkdOU6u1787fus36/evVeHui9ZCanoBNV1K5bq6V+/22r783//og52XRy5PW+kfeT/a0qK9E+fdFttf++/39Th7osjSby8qP3bZF9YqK+MJAol6V8Dx3S853JUYmw0qVZUkKdfdK+z2nYcC6vr4oAKR/pamD/y78jv1yxfYn3hPd8/qGHDsG7Pz7PxZRjTMt/jpvV/5JetKP78Z0hqfP6wmg+c0B++/1p9+/nDeu1U4gtU6+wLdeT3q6zf7/6rn+rFo+HYUb0jsUPZ4gU69gejbT/82At6OtQ5OmJYo6N1FxXm68SXH7LafurfAvrRW2fjRgubvx/5vSrlj8QYv/G9VyKjkceM1M0beZznf/MeLR2pV/VHbW/rv147NTKaNr7td361Us6RpP23njs02jZq9K0Zc/3Vx27SqpFzpTki2oytRkfiRtr+nudqayTwE2+d0eNvnY0ZBRxpF/m99o6NWj9yvn7xSLd+HOwciTHjL2B88PoV1n7fPXdBHcfC1sjl0baRuHPrWrs1gvvs+X6FOi+OtFXcRZHVxQtVvDByzC4NDCl8aSDBhZnI/Qrz8pSXx2cvAGSztCecKisrFQgEVF1dLZcrcnW+o6NDX/ziF9XW1qbHH3883Q8565565E6VlJREJW8iJz/HwtEviI5FhTrye56EiZ78kS8wpqKCPA02fDjlK3jRgdFEfvK/7km57b/+onviRiP+6mM3p9w2+gvgRH7rXlfKbaNHdEyk5pY1Ezca8dGbVqXc9gPXr9QHrl85cUNJD169XA9evTyltveVl+m+8rKU2t5fvkz3ly+buOEk206mD/dsLtM9m1Nre/dmp+7efFvKbZ//zXtTanvHxlKFfteTUtvK9Q5d/PqH4rYbYxJPUmTEXvj/vD9mquvQSBJrcMiwAmMpUpvkwOfu19BIu8Hh2ParoxLCJQsL9J1fqRzd15i2V0Wt5lSYb1PDh2+wbovZt2HoplXFUc9B8t650bpteEw/xk5feeCqZbo0MKzB4WFrv+aPOdrNtGJpJNlttRky2w5bX8BMgyMH0mx7eXA0qbXy0kBM27fOnNdbZy8kfK3GJrsff/OMAsd7ErZdsXRBzOdN0/OH9ZMkU16XLMiPSTj9/n+/qcffOpuwrSQNfePD1v//x38c0HdeORlze2F+5MtPYb5Nx/+gSosXRN4Xvu+/ru+/floFUbdHJ7L2fKrCmnb7D/uO6unguZGEV17MPgvz8/S/73PJMdL22YNdevlkb0ybBVH3u89VZn3RPd5zSWfOX0maTLMvLFBBfvxFFMyOXIibktngWCTHokK9fLJXv/G9V1VUkPx9ODY8Mj/TYkV+vzwYO7L74sCQLlxJPNq7fzA24R6+NKBzSRLrUuwFiTN9/TrYdTFp22gHOy+q/Vjizy5JGhwafS6vneob9/Oo4cM3WP/vmGBE9K/ftclKDD1/uFt//kzyUc4fvn6llXB6JtQ17shlv/dOa79tb5/Vr3/3laRt//N/bNNHbozEVj9844z+x54DSdv+2y+69YmtayVFSgZs/+eOpG0f236LNaL+8TfP6KN//2LCUcN5NumPP3C9Pn17pG370bA+9W8B6yJEvm3kosTIBYnaOzbqkyPnh+C5C/ri91+PGdFbkJen/JH7ffiGldZFnLPn+/XnPwlFbrfZYkYN5+fZVLHObsVKF/oH9f9eOzXmsfOUb5MK8vO03rFQ162InNsHh4b1yqm+uH6aj7F0QYF1HjEMQ/2Dw9ZoaS6GAMi0tCacvvSlL8nlcmnv3r2y22O/1ITDYdXW1uqxxx7TZz7zmXQ+7Kxzr3NMONw9P89mTXmaiFlDB0Bm2WyRK7LR8vNsKllYmPgOYywoyNOWNalNhVlYmK+P3bw6pbZFBfn6QtTU0/Hk5cXWL5vIf3369okbjXjli+9JetvwmC9+L33+/sgosOHhqMRU5GfsCMS//8RWne8f1OCwoYGh4Zi2Y0emff495TrVdzlmn+Z9Fo8ZBfmB61eovGyJBodj9zk4ZMR9sd3kXKwtq0s0MDSsgZF9DgwZujI0HDO9R5IGhuNHhA0MGRoYGpIGFHNB4VjPZb1x5nzS4xZ91J471DXuFN2dt2+wEk6tL5/QX/zkYNK2b9S9V9euiIy+/NZzh/W1ve8kbdv+2/fKPTJ1suGpd/WVH72lBQWRhNSCgjwrkbUg36Z//IWt1jTL771yUk0/O6zCvDwtKIhOeEXa/q+7N+uGkWTo/uM9+u83z2jByG2RNqP3u2ez0/ryeqavX++cu2DdHtn/6P1KFxVadfTmulyJm0595SEVFxdb5QXMEbA2W2S0adPPjuj3H39T3SPJ6I/euEpffd81WmtfZI2szRsTKH3/M7fpyqAhY+SvKHqE7dgv2f/ySbcuDQxZf2/Ro3DH+uuP36yv9w/JLHEaPcJXik18/fEHr9fn7i+3al4OG4Y1enfYkFULUJJ++z6XHt6yerRd1CjcYSNyEcL0SxXrVLneYV0EiW5vGFLZktFz0oevX6mVS4tG9zem7Yqloxc67tnslO+Bq6zHNNtG+hSZ/m66ceVS/UrlutF6oWMuuCxfOjqFenVJkd5TXhZzUcQcjTxkGNbnlhRJ9m92Lo5pG/3/6M9mQ5HRV4lGGkux74nIuSAy8jiR6CRkX/9g0oscUmSUuanz4hX9v1dPJW27uqTISjidOX9Fu/e+m7Tt5+8vtxJOZy9c0af+bX/Stp+9c6P+ZuRc3n1pQBV/9kzStmPLdCz9nf+2bsuzyRo5XJBv08duWqW//0SkrWEYuqHhKetCuDkauXAkWXXHptKYUha/9h8HNGQYVsLLvNhRkJenq5cvUe0dG62233rukK4MDcfuc+QCyfKlC2IuwP7scLcGh4dVkDd6ocUcubx4Qb51bpAiI4zzbLL6S0INyH5pTTiFQiE1NzcnvM3hcKi5uVmPPPLInA+cAACxxk5riK7nNJE7Npam3PYXRq58p+JLD1ydctu/mUSS7ju/ss1KSA0Mj/wb9Xt0Qu33q67Wzts3WEmsweHYttFThR/eslrlZUsS7nNgyIj5QrpldYk+fvMqKylmtR/Zf/R+lxbla03Jwrhk2sDwsAwjNkF2eWBYlweHY0akRRuIGoUR6ryoH40zCuPhLauthNOLR7r1e//9ZtK23/vVbaPTft4+q1/+9+RfxP7lk1ut0Qf/79WTqvmnjtgkVv7oiK//84HrrBGu+46EteuHb1i3RRJaIyO9CvL0c1fNft2kXImbFhXmW6P+Evmfd2/SjlvX6A9+9JYanz+k/3ztlJ54+4y+9MDV+sJ7ymMSN6ZlS4oS7Cmx6KnlE9lQmnzq+1hXLVuiq8aMBE1my5qSlC9I3LGxNOXPxcmMRp7MSOvJjOD++ZtW6+dvSu0CSvUta1Sd4qjzmlvWqOaWNVbiLTahZWhhwej74sGrl+nw73niEljm/dbYR98vW9fa9fT/vCvqIkTks9kcuXxz1OI7G0sX61sP3xxzwcIclTw4ZOj+8tFyDc7FhfrNezfHXBAZirrgceva0f0uyM9T1TXLrLbmY5ttoy9aG0ZkBLU5WtkcWWz2JXqE6thqHsNGZFr+lSFJA4r5bB82NG7ibcmYv9l/P3A8bkSg6b3lZTEJp99//E11XRxI2Pa29Q49+Fuj78Md/9yuo+HLCdveuLI45mLXbX/xE70ZdREnMrUy8vnvKlus/Z+737rt4X/YpzfOnI9LYhXm52nZkgUx9XH/j/9tBc9dUEH+6MUWM6G2ZEG+ftdzjdX2B6+f1oney9aIYfOcY7avuma5lQg73HVR568MWeeomNHIeZGEGkkzzHdpTTiZQ8Gn2wYAgGwVma6Rr1QGvl23otiaFjGR9127Qu+7dkVKbf/HbRv0P6IWZxjPlx64OmnyzSzubvrt+zbrV7et05UhQ1cGh61kVuQLy7BuiKpZ94HrVmhF8QJdGTSTXsOR+4383+Uc/SJ+7fLIYhIDVrthXRmMJL2uDA5rRdRoicUL8nXVsiVR7SL7HRgaVv/QcEyC7Mpg5AvYpWEjYS2y6GlUZ87368l3k68Ueq19Y9LbZgpx06iyJQv01x+/WbV3bNBv/b9X9UyoS1/+0Vv6+xeP6E9+7kb9/E2r+GKWo8zRx2OnbkdbVJhvTQeciGNRoe51pZakW1lcJO+dm1Jqu7pkof78ozdN3FCRJOiPau9Mqe2K4iIdjapfNp6lRfkK/5/3x02RjySzhmNGAtskPfPrd1kXLKxRYiP/jx7xJkWmcvYPRqbgj71P+Zjp79Vb1qj38kDMRRbz/+boW1N52RItKswfs8/IBZKlRbHJZnO6vslMMF4eHI6bNhvquhiTnIq2ekzN28ffPJO0rmZxUUFMwukvfxpS29uJzyV5NmnwGx+xfv/c//eavjfOCLmLuz9ojdj9TPNL+s7LJ6yLJ4XWhZTIvz9+5C5r6uRf/iSkJ946O3rRZOQ+BSMJrT96/7XWhb8n3jqj9mM9MYm06NHDH7p+hTWSP9R5QcfCl0en3o9JkK0uWWitsj44NBz526SOGiYwo6vUJZIocHryySf1wAMPzHZXAADIaWMDxZKFhSlPIb1hVbE1gmki77lqmd5zVWr14z5+82p9fJzppuZUJ0n6uRtX6vgfVFnJMTMxZSbIrl42+sVm61q7/u0X3dZtViJt5L7b1qY+CmY25VrcdMsau5565C41v3RCX/yv13Wo+5Ie/sd2ea5epj//6E0pv+eAXGSzpV4GIC/PlnL9TUn6jZFVgVPx7erURw0/+chdEzca8fKY6fqj/8ZePJGkv9txq3oujSa9Bocj7QaHDBWOqZ/w63dv1s/duCpmOr35OIV5sVPw79rk1OLCfOt8MxB1oWVsUnxpUYGWLVlg3W4m3kzRF1DO9w+q5/Jg0uceveuXTvbqh28mX337dz2jF5m+/8YZ/d+fJp+C//aXHrDeM4++cET1TyafFhr43/dZtUC//tS7+oPH35LNptFRw/mjU/Fbf6XSmoK/58Bx/c2zh6zbFpgjjQsiyawv3F9ufbbvOxLWD944PToauSAvalSyTe8tX2aNADzVe1lvnT0fNWJ5dKr+gvw8lS1ZYI2QNWMHLlzMvrQmnKqqqsatNfDkk0+qtDR+iHBjY+O8DZwAAED6RAeLCwvztTrFek5r7AutYsSJ9Pb2Trtvk0XclJjNZtOOW9fqw9ev1Nefelff/HFQ/nfO6ZY/fVr/6+5N+vJD18bUBQKQGxYWpja6WIpcZEjVZKbrf/mh1BdD+seR2lrRDGN0JFn0RZ+/+Pmb9Ifvv1ZXBkenv0dfHFkcda77tW0bdPcmZ8IE2ZXBYZUUjX7Fv2ODQxduWx9JzEXt0xyVHL2i9rLFC3TdiqUxCbLo9tErdZtT7A0jsvjC2OmW0eUuD3dfSrqIixSpQ3aDRhJOR8P6w7a3k7b9/37tNivh9KO3zo67CMG//5JbO26NvLbfefmkdvxLR8Lk2IL8PH3tg9fp4S2R6b4vHO7W7z3+Znzdyfw8FRbY9Au3rrUuoh3uuqh/CRxLmBxbkJ+nW9fYrVF9fZcH9eqp3th2USPJihcWJJxCPtfZjOhLhdO0fft27d27Vy6XS05n7BL0XV1dCoVCqqysjNseCAQ0NJR49ZBs0tvbK7vdrp6engmLhgMAgLkjE+d44qbUhDov6Av/9bpVvHn5kgX64w9ep/+xbQPTOQAgAy6PrP45Oqo4dir+9SuXWqvlvn32vF452RvTxvoZNPRJ91prSuzTwXNqfulkZD+Dse2uDA3rj95/nbZtcEiSvvPyCf3B429F7S92///xSxXWAj3/vv+4fvFfA0mfzz/+wq36VEVkBfT/77VT+vm/35e07d98/GZ99q5NkqQn3zknT+PzSds2fPgGa+GfFw53686/+mnStl9+6BorofnaqT5V/NkzMSO2RpNaNn369g363/dF9nuq97J+bc+B+ERWgU1FBfm63+W0kmkXrwzqb547bI0yKyqITZRtdi626g0ODRuRBFnUYxdF9eHyhfMqc5ZOeI5P6wgnv98vl8ul0tJSjc1jlZaWqqKiIm57GvNdAAAAcwZxU2pcZUv03V/dpifeOqPf/s/X9OaZ86pteVmNzx/WX/z8Tbprk3PinQAA0iYy2iy10TjXLF+qa5YvnbihpPvLl+n+8tSm4D+8ZY2VSJnIx25apRN/UJUwOXZlaDhmAQj3Wrv+9RfdCZNjV4aGrYSXFFnd8zO3bxitYxmTJBvWxtLR2nIF+TaVly1OmBwbGDJiRpCNPq4kxV9g6rwwWpS/t39Qj4+ziEueTdZx6r40oLrvv5607a/dtkGPbb9FUmSa59Y/Tb5C5sPXpnYhKe1Fw9vb2yd9v+3bt6ezGwAAAFmPuGlyHrp2hV76/DL932cP6qtPvK2OYz265/8+q09VrNPuD14/qdXoAAC5Y2FhvlalmCBb51iU8jTLG1YVq6nmlpTaVqxz6J1dDya8zVyN03TjymId+t0HY2tTDo4u4rIhapGElUuL9A+fuDWmTX9UMuuODaNT84sK8vSpinWjbWKSaoauWja6AMDgsKHVJUWj+xrZt2lsfbNk0jqlbu/evXrwwcQHcTz79+/X1q3xc1yzDVPqAACYnzJxjidumrrTff36nf9+Q/+w76gMI7I61+95rtFv3btZRQXzrwYGAACZZhiRwvf9g8Pq6+3VmhVlE57jU0tLpejgweQV8E07duyI2zYXgqZo/9J+NNNdAAAAc1yuxE0zYWVxkf52+6362W/cq9s3OHS+f0hf+sEb2vLNp/WD109nunsAAMw7NlukiPrSogItKUptslxaE0719fXj3r5//375/f50PmRG/Pr3XlVty0u6PJD9BTsBAEB2ypW4aSZt2+DQs//rHv3DJ27VyuIivXPugj7ydy/qfU3P66UTPZnuHgAAOS2tCadgMKi//du/TXjbrl27VFFRoXA4nM6HzAibTXrshSO696+f1aGui5nuDgAAmINyJW6aaXl5Nv1y5Xq95XuvPn9/uQrzbWp7+5zcf/aMfvXf9+to+FKmuwgAQE5Ka8LJbrfr29/+tg4cOGBte/LJJ3X11VerqalJ9fX12rx5czofMiNaf6VSzsWF6jjWo8o/f0aPv3km010CAABzTK7ETbOlZGGhvvGRG/RG3Xu149Y1MgzpnzqO6dqvP6ldP3xDPZcGJt4JAABIm7QmnJ588knt27dPbW1tOnDggB555BF5PB5t3bpVoVBIX/ziF9XR0ZHOh8wIz9XL1fHb96lynV1dFwf0ob99QX/4xNsaHs69pYoBAMDU5ErcNNtcZUv0779UoZ/95j26z+XU5cFh1T/5rq7avVd/+ZOQrgwOT7wTAAAwbWldpS7aZz/7WbW0tKipqUkPP/ywtf3QoUPatGnTTDzkjBu72kr/4JB+6/+9pqafHZYkea5epn/8ha1aXcKyvAAAzCWZXok2F+KmTDAMQ99//bR8P3hDb545L0kqL1usr33welVvWS2bzZaRfgEAMJeleo5P6winaN/+9re1c+dOVVVVxWz3+Xwz9ZCzrqggX9+u3qK/33GrFhfmy//OOd3yJ0/rh2+wOgoAAEhdLsRNmWCz2fSRG1fp5c/fr289fLNWFhcp2HlRO/65Q7f9xU/0+JtnNEPXXgEAyHlTHuGUaJnescLhsEKhkDwejySpq6tLfr9fnZ2dU3nIjBsvi/fG6T598l8DeulEryTpN+/drPoPXa+igvxMdBUAAEzCTI/GIW7KzAinsc73D+pPng7qmz8O6sKVyGrD92526o/ef53uKy/LcO8AAJgbUj3HTznh5HQ65XK55HQ6J3W/vXv3amhoaCoPmXETHdTLA0Py/eAN/dVPD0qSbl1Ton/7JbeuW1E8210FAACTMNPJEeKm7Eg4mc709evrT72rbz13SP0jNZ0euma5/uj912nbBkdmOwcAQJZL9RxfMNUHcLlcam9vn/T9tm/fPtWHzHoLC/P1Fz9/k6quWa5f23NAB070quLPntHuD16v/3X3ZuXlUScAAIBcRNyUXVYUF+lPf+5Gff5+l/6P/x397QtH9MTbZ/XE22f10RtX6g/ff51uXp1dSTIAAOaaKddwqq+vn9L9du3aNdWHnDM+fMNKHfjc/fJcvUyXBob12//5mh789vMKdV7IdNcAAEAGEDdlp7X2RfrWw1v0pu+9+uWKdcqzSf/52mnd+qdPa8c/tevlkVIJAABg8mZslbr5aLJDw4eHDX37+cOq+/7rujgwpCUL8vWND98g750bWRUFAIAsks3Tv+aquXhM3zjdp6/86C21vHzS2vbRG1fqdz3XqHK9I3MdAwAgi8xYDaeDBw9q79692r59+5wJHlLR1NQkKVJjwe12y+VyxbWZauAU6rygX9tzQM+EuiRJD169TN96eIuuWrYkPZ0HAADTMlPJEeKmuZVwMr18oldf2/uOWl4+ITNSfv+1y/V7Vdfork2Tq8MFAMB8k+o5ftJT6jZv3izDMPTAAw/ofe97n7773e9Oq6PZwOfzyeVyqba2VqFQSH6/P637d5Ut0ZOfvUt/9tEbtagwT3vfOaebv/lj/eETb6t/cG4WAgUAABMjbpqbtqwp0X98qkKvffE9+lTFOuXn2fT4W2d1z/99Vp5vP6+n3j0nJgkAADC+aU2pO3jwoBobG9Xa2qqKigp5vV498MAD6ezfjAuHw6qoqFAwGJywbTqu1L177oJ+/bsvq+3tc5Kka5Yv0d98fIseuHrZlPYHAACmbzZG4xA3zV3Bcxf09afe1T+1H9XAUCR0rlxn1+ffU66Hb16tgvwpl0UFAGDOmbEpdcns379fjY2N2rt3r6qrq+X1erVp06Z07Hpc4XBY7e3t8vl8amlpSTiku7W1VaFQSA6HQ8FgUDt27JDb7bZua2xslNfrlSSFQiHV1dUlfKx0BU6GYaj5pRP63//5mk719UuSftG9Vl//0PVaa1805f0CAICpme3kCHHT3HSk+6Iangrq7148osuDw5KkjaWL9Nv3ufRr2zaoeOGUF4AGAGDOmPWEU7TvfOc72rNnjw4ePKgdO3aotrZ2RgKNQCAgv98vt9utqqoqBYPBuMDJ7/ervr5ebW1t1raKigrt3btXDodDTU1N8vl86u7uliQ1NDRIUsLgKd2BU/jSgH73v9/Ut58/JMOQFhfm64vvLdcX7i/XkiICFgAAZksmkyPETXPP2fP9+tZzh/XXzx7U2QtXJEmORYXy3rlRv3H3Zq2xL8xwDwEAmDkzVsMpFQ8//LCam5vl9/tlt9utugWPPfZYWh/H7Xarrq5OlZWVSdv4fD7rKpzJ4/HEFLuMDrZcLpf27NmT1n4m41hUqL/++M362W/cq7s3leriwJC++sTbuq7hKf1T+1END1MbAACA+Y64ae5ZvrRIf/DQNTr0ex59u3qLrlm+ROFLA6p/8l1t/ppfv/Lv+/Xike5MdxMAgIya0QnndrtdO3fuVHt7u5qbm9Xd3a3Kykrt2LFDTz755Ew+tCUQCFjDwE3l5eVWcJRoKPls27bBoWd+/W7t+VSFNpUu0vGey/rV/zgg9589o/989RRFKQEAyAHETXPPosJ81d6xUa9/8b363q9u0z2bnRoYMvTPHcd0x1/+VLf9+TP6h31HdWmARWIAALln1ioc2u12ffGLX1R7e7u+9KUv6YknntBVV12lRx55RAcOHJiRxwwEApIiV+OiOZ1OhUIhSYoLqkKhkHbs2DEj/RmPzWZTzS1r9Hrde1X/oetVsrBAL5/s1cf+YZ9u/4uf6PE3z5B4AgAgRxA3zS15eTZ99KZVeubX79bPfvMe/XLFOi3Iz1P7sR792p4DWv9HbfJ9/3Ud6rqY6a4CADBrMrKkxtatW/X1r39d7777rqqrq/W1r31tRoKnrq6upLeFw2Hr/y0tLfL5fGptbVVnZ2fS4pem3t7emJ/+/v50dVkLC/P1xfdepdDvPKhdD16lJQvy1X6sRx987AXd+9fP6vuvn2aqHQAA09Tf3x93Ps9WxE1zy20bSvUPv7BVR3/fo6998DptcCxS18UBfePHQZXv3quP/O0L+t4rJzUwNJzprgIAkJKpxk0zUjR8toXDYZWWlsYVvwwEAtbSvdHbW1tbVVNTM+kRQ2ZhrLG+/OUv6ytf+cqU+z+eM339qn/qXX3ruUPWaig3rizWF95Trl/YulYLCliGFwCAyfrKV76ir371q3Hb52OB67Hmc9yUjYaGDX3/9dP6m+cOqu3tc9b2FUsX6FMV6/Xp29fruhXFGewhAADjm2rcNK8TTqFQSOXl5XHbm5qa5PV6pxw4HT16NOagFhUVqaioaPpPZBwnei7rz54Jqelnh9XXPyhJWmdfqN+616VP375BjkWFM/r4AADMJ/39/TEjbXp7e7V+/fqcTjjNp7gpW7199rz+7sWj+sf2ozrdN/r+u3tTqX7ttg2quWWNlrJSMQAgy0w1bpr1M1pvb++sBXJmDYLoYeDm72NrEExGSUnJrAeja+wL9Y2P3KDf9VytxucP6y9+EtKxnsv64vdf1x/86E39wtZ1+p93bZR7nWNW+wUAwFw0V5IexE3zyzXLl+rrH7pef/T+a/XDN87o7148oh++eUbPHurWs4e69Rvfe1U/f9MqfdK9VlXXLFdhPiPZAQCZN9W4aVYSTnv37lUoFFJZWZnsdrtCoZBsNps+85nPzOjjOhwOeTwehUKhmEApGAzK4/HM6GPPFMeiQvkeuEq/de9m/XPHMf3VTw/q1VN9+rsXj+jvXjyi2zc49Nk7N6l6y2ot4QoZAABzDnHT/FeYn6eP3rRKH71plU70XNY/dRzV3794VO+cu6B/239c/7b/uJYvWaCaW9boF91rdcfGUtlstkx3GwCASZnxKXWPPfaYPB6PNm3aFHfbN7/5TX3hC1+Y9mMkGxouSX6/X/X19Wpra7O2VVRUaO/evXI4HJN6HHNoeDYNtzcMQ88e6tK3njus1pdPaGAo8nIuLcpX9c1r9KnKdbrfVaa8PIIUAACSyZZzPHFT7jIMQy8eCetf9x/Xnv3HdfbCFes2V9li/cLWtdp+yxrdtKqY5BMAIKNSPcfPaMLpySefVGlpqbZu3Zq0zXSCp1AopMbGRoVCIbW2tsrj8cjtdsvr9cYVu+zq6pLT6dS+ffu0Y8eOKQ0Nz/bA6XRfv/52ZKRTqHN02d31joX6pYp1+uTWdbph5VKCFAAAxsiGczxxE0yDQ8Pyv3NO/xY4pu+9ekoXrgxZt129bIk+vmW1qreslnutnbgOADDrsiLh9Nhjj004/Hvv3r3atm3bnAhE5krgZBiGnjvUrX/qOKrmAyfUc3nQuu3a5ZEg5eGbV2srQQoAAJKy4xxP3IRELvQP6v97/bT2HDiuH711Vv0jqxZL0qbSRfrYzZHk0+0bShnRDgCYFVmRcHr00Ue1c+dO6/eHHnpIhw4d0ttvv21t6+npUUdHhx544IGZ6kbazMXA6fLAkP7r9dP6l45j+tFbZ3VlaDRI2excrI/dvEofu2m1bt/gUAGFKQEAOSobzvHETZhI3+VB/eCN0/ruKyf1wzfO6OLA6Min1SVF+uD1K/Xh61fKc/UyankCAGZMquf4GT0TjR09YxiGhoeH49rNcBmpnLawMF81t6xRzS1r1Ht5QN9/PRKk/PebZ3Sw66L+9OmQ/vTpkEoXFep91y7X+69bofdfu0IrirN/5R4AAOYT4iZMpHhhgT6xda0+sXWtLl4Z1I/eOqvvvHxS//X6aZ3s7dffvnBEf/vCERUV5Om95WX60A2RBNRG5+JMdx0AkINmNOE0NiCKLkBp2rt3LyufzJKShYX6pHudPulepwv9g3r8rTP67iun9PibZ9R9aUD/ceCE/uPACUlS5Tq73n/dClVds1y3byjVggJGPwEAMJOImzAZixcU6GM3r9bHbl6t/sEhPRPq0vdfP63vv35aB7su6vG3zurxt87qN773qm5aVawPXr9SVdcs092bnFpYmJ/p7gMAcsCMTqnbu3evysrKdOuttyZt841vfENf/OIXZ6oLaTVfh4YPDg3rxaNh/fCNM/rvN09r//HemNsXF+br7s2leu9Vy/TAVcvkXmtn+h0AYF7JhnM8cRPSwTAMvXnmvL7/+mn94I3TevZQt4aGR8P9RYV5us9VJs/Vy1V1zXLdvJpV7wAAk5MVNZykSD2CqqqqGV3ed7bkSuB0sveyHn/zjH701lk99e65mGV5JalkYYHu21ym+8vLdPdmp9xr7YyAAgDMadlyjiduQrp1Xbyix988oyfeOqu2d87qZG9/zO0ri4vkuXqZPFcvl+eaZVprX5ShngIA5oqsSThJkSt2Bw8elNPplCR1dnbKZrNNuBJLtsnFwMkwDL12qk9PBTv11Lvn9ONgp8KXBmLaLCzI020bHLprk1N3b3Lqzk2lci5ekKEeAwAwedl0jiduwkwxDEOvnz6vJ94+I//b5/R0sDOm8LgkXbVsie5zlen+cqfud5VpQyn1nwAAsbIq4RStp6dHdrt9Nh8ybQicpKFhQy+d6NGT73bqpwc79ezBLnVeHIhrd8PKpbprk1N3bXLq9g0OXbt8KUv1AgCyVrae44mbMJP6B4f0/KFutb1zVv63z6njWFjDY74ZbCpdpPvLy3SfK/LjKlvMFDwAyHFZm3Caywic4hmGobfOntezB7v17KEuPXeoS2+fvRDXrrioQNvWO7Rtg0O3rXfotg0OhmwDALIG5/j045jOPT2XBvTTg116OtSpZ4Kd6jjeE1P/SZLW2hfqfleZ7txUqrs2OXXzqmJqewJAjpnxhNOuXbu0e/fuSd9vrtUfiEbglJqz5/v13KFIAuqFw93qONYTN1xbklaXFOm29Q5t21Cq29Y7VLneIceiwgz0GACQ62b6HE/cRNw0F/VdHtTzh0cTUC8eDWtgKParw5IF+bptvUN3bCrVXRudumNjqcqWUFoBAOazVM/xBVN9gEAgMKX77du3b6oPiTli+dIiffSmVfroTaskRVbBe/30eb14tFsvHglr39GwXj3Vp5O9/frP107rP187bd33muVLVLHOIfdau9zr7Nq61k4SCgAw5xE3YS4qXligh65doYeuXSFJunhlUD87HNZPDnbqZ4e79fzhbvVeHozU+gx2Wve7dvkS3bkxUtfzzo2lumFlMaUVACAHTXmEU15enioqKqyClqno6upSIBDQ0FD8aJe5gCt16XOhf1D7T/RYCah9R8MKdV5M2La8bLEq1jm0da1dFSNJKK6cAQDSaabP8cRNxE3z0fCwoTfOnNdzh7r0/OFuPX+oS28lKa1Qsc6uyvWOSImF9Q5tLF1ELSgAmKNmfEpdXl6eHA7HpO4TDodls9kInJDQuQv92nckrP0nehU4FlbgWI8OdV9K2HZT6SK519nlHhkNVbHOruVLi2a5xwCA+WI2Ek7ETcgFnReuWKOfnj/UpRePhnXhSvx7ePmSBaocKalgJqFWFhPLAcBcMOMJp7179yoUCsnpdOrhhx9O+X4PPfSQnnjiiak8ZMYROM2+zgtXtP94jzqO9Yz8G1YwyUiodfaFkSTUWofc6yJJqNUlC2e5xwCAuWimz/HETcRNuWpwaFhvnDlvjWpvPxrWyyd7NTh2OTxJ6x0LtS0qCeVea1fpYka1A0C2mbVV6np6etTc3CybzSaPx6NNmzaN2/6zn/2svv3tb0/nITOGwCk7hC8NaP/xHgWiklBvn7ugRO/kVcVFcq+1a+s6e6Qu1Fq7NjCEGwAwxmyd44mbAOnywJBeOtFrJaD2HQ3rzbPnE8Zy5qj2W0fiuK1ruaAIAJk2awmnaPv371d7e7vKysr08Y9/PF27zRoETtmr7/KgDpzoUWAkERU41qM3zvQpwcUzORcXyr12NHBxr7PrqrIlFLMEgByWiXM8cRMwqu/yoDqORZJPHcd6tO9oWAe7Eo9qX1VcpK0jyaeta0vkXuvQJicXFAFgtmQk4RTtO9/5jrq7u1VZWalbb711Jh5i1hE4zS0Xrwzq5ZN9kQTU8R7tPx5ZHW/scr6StLQoX1vXxI6Eum7FUhXk52Wg5wCA2ZbpczxxExCv++IVHTjRq8CxnsiFxWM9euvs+YQXFB2LCrV1TUnkguI6u7ausevaFUuVzwVFAEi7jCecTAcPHpTf75fNZtP27dvndMBB4DT39Q8O6bVTfdZIqP3He/TSiV5dHhyOa7uwIE+3rCmxrqC519l106piFRXkZ6DnAICZlC3neOImYHwX+gf18sle7T/eq/0nerT/WI9ePdWnK0PxsdziwnxtWVOiLatLdMuayM+W1SVaWlSQgZ4DwPyRNQknKXLVrrGxUXv37lV1dbX27Nkz0w85Iwic5qfBoWG9dfaCAsfDVhJq//Fe9fUPxrUtyLPpplXFMSOhtqwu0RICFwCY07LpHE/cBEzOlcFhvX66L1Lj83iPDhzv0YETvQlXx5Okq5Yt0S2rS7RlJAl1y+oSanwCwCRkPOF06NAh1dfXq7m5WeFwWJs3b5bX61Vtba3sdvtMPOSMI3DKHcPDhoKdF2JGQgWO96jr4kBc2zybdN2KpaMjoUb+tS8qzEDPAQBTkelzPHETkF5Dw4bePXchMpr9ZK9ePtGrl0706kTv5YTtHYsKtWV1sbasseuWkRFRN64q1qJCRrYDwFgZSTj19vaqublZjY2NCgQCMgxD1dXV8nq9evDBB9P1MBlD4JTbDMPQke5L2n8iNgl1src/YfvyssUxK+RtXWvX8qVFs9xrAEAqMnGOJ24CZt/Z8/16aST59PLJyL9vnElc4zPPJl27fGlkKt7ISKhb1ti1uqSI0VAActqsJpyefPJJNTY2qrW1VYZhyO12y+v1aufOndPddVYhcEIiJ3svW8mn/SMFyg93X0rYdr1j4UjyyRFZVWWdXWtKFhK0AECGzeY5nrgJyC5XBof1xpm+uETUuQtXErZftmSBVQ/KrA11/YpiLShgsRkAuWHGE069vb1qampSY2OjgsGgHA6Htm/fLp/Pp82bNye93ze/+U194QtfmMpDZhyBE1LVeeHKaBJqZFreO+cuJGy7YumCmJFQLO0LALNvps/xxE3ETZhbDMPQyd5+vXQiMiXPTEa9nWSVvMJ8m65fURyTiNqyukQrihndDmD+mfGEU15enmw2mzwej7xerz7+8Y+ndL+rr75a77zzzlQeMuMInDAdvZcH9NKJ3piRUK+f7ku6tK97rV23ri2JJKHW2XX1Mpb2BYCZMtPneOIm4ibMDxevDOq1U+f10snISscvn+jVSyd71Xs5frEZSVpVXKQtUQXKt6wu0XUrlqown9FQAOauWUk4VVdXy+VyRXYUNRrDMIy40RmGYSgQCGjv3r0aGkq8YkS2I3BCul28MqhXTvZFipOPJKJeOdWbsI7AkgX5unVNibauc1gr5F2/koAFANJhNhJOxE3A/GQYhg53X7Km45lJqGDnBSX6prUgP083rFxqJaLMEVHU+gQwV8x4wqmyslLt7e2Tuk8oFFJlZaW6urqm8pAZR+CE2XBlcFivmUv7jhQnP3CiR5cGhuPaFhXkacvqktGRUGsdunl1sRayogoATMpMn+OJm4ibkHvO9w/q1VN9Vk2ol0/06OWTferrTzwaanXJyGioqCl51zIaCkAWSvUcXzDVBzCv0E32Ph6PZ6oPCeSEBQV52jqyqt2v3RbZNjg0rLfPXogZCbX/RI96Lw9q39Gw9h0NW/fPz7PpxpXFMXWhbllToqVFU/5zBwBME3ETkHuWFhXojo2lumNjqbXNMAwd6rqkl0726OUTfXp5ZGpesPOiTvb262TvWf3orbNWe3M0lLlSnpmMWraE0VAAsl9aVqnLFVypQzYZHjYU6rqowDGzOHlYgWM96rw4ENfWNrKsr3utXRXr7apc59DWtXaSUAAwgnN8+nFMgdSd7x/UKydHV8h7eeT/5/sTT6ldU7JQW1YXa8sa++hoqOVLVMBoKACzYMam1D322GP6zGc+M+0OztZ+04nACdnOMAwd67k8moQa+fdE7+W4tjabdP2Kpapc51DFeoe2rXfoljUlWsR0PAA5aKbO8cRNxE3AVA0PGzrUfTFqSl4kCRXsvJiwfVFBnm5cWRxXG6psyYJZ7jmA+W7GEk7btm3Tvn37pt3BsebCKiwETpirTvVe1v7jPWo/1qPAsbDaj/XoeE98Eio/z6abVhWrYp1DlevsqlwfqQlVVEASCsD8NlPneOIm4iYg3fouD+qVU6PFyV8+0atXTiUfDbXWvnB0pbyRGlHXMBoKwDTMWA0nwzD03e9+d1qdS7RPZvYBM2dVyUJ9oGShPnD9Smvbyd7L6jjWo/ajYXUci9SBOnP+il46EbmK9ncvRtotyM/TltXFqljvUOU6hyrX23XDymIKWAJACoibAKRb8cIC3bXJqbs2Oa1tw8OGDnZdjJuSF+q8qOM9l3W857L++80zVntrNNSa0QLlt6wpkXMxo6EApM+kRzh95zvfUSgUSntHHA6Hdu7cmfb9phNX6jCfmdPx2o+G1X4srI6jPWo/FlZXgppQCwvydOtauyrW2bVtJBF17Yqlys+zJdgzAGS/mTrHEzcRNwGZ1Ht5QK+e6rMuKJp1oi5cSTwaal3UaCgzCXX1MkZDAYg1Y1PqchmBE3KNuZJK+8gIqI6jYXUcj6yON9aSBfkjRckj0/G2rXeovGyJ8khCAZgDOMenH8cUyE7mwjOjtaF69PLJPh3sSlwbamFBnm5cVRwzJe+WNSUqZTQUkLNIOM0AAicgEqS823lhZCRUjzqOhhU43pPwSpl9YYEq1jlUMVIPqnKdQ5uci2SzkYQCkF04x6cfxxSYW3ovD+iVkyOjoU726JWTfXplnNFQ6x2JRkMx4h3IBSScZgCBE5DY0LCht86cHx0JdaxHB4736PLgcFxb5+JCbRtZFW/beodu21CqlcVFGeg1AIziHJ9+HFNg7jNHQ710oseakvfSiV4d6r6UsP3CgjzdtKpYW9bYR2pDRVbNYzQUML+QcJoBBE5A6gaGhvX66T61j9SC6jga1ksnezUwFP+Rs8GxSLdtMBNQDlWsc2hp0aTXNACAKeMcn34cU2D+6rk0oFdORRUoP9GrV0726eJA4tFQGxyL4kZDXbVsCaOhgDmKhNMMIHACpqd/cEivnOzTvqORkVD7joT1+pk+jf0UyrNJ168o1rYNDt02koS6eXUJK+MBmDGc49OPYwrklqFhQ6HOCyNT8kZHQx1OMhpqUWGebloVlYQaSUg5FhXOcs8BTBYJpxlA4ASkX9/lQXUcC+vFkQTUi0e7dTR8Oa7dwoI8bV1rt5JQ29Y7dNWyJdSDApAWnOPTj2MKQJLClwas5JM1GupUry4NxJdekCKjoW5ZEzsaqryM0VBANiHhNAMInIDZcbL3cswoqBePhhW+NBDXrnTRSD2oqCTUqpKFGegxgLmOc3z6cUwBJDM0bCg4MhrKTEK9dKJXR8KJR0MtLswfqQ01moTasrpEdkZDARlBwmkGEDgBmWEYht49d0EvHg3rxSORRNT+4z3qT1CUfINjUUwSqmKdQ8ULqQcFYHyc49OPYwpgssKXBiLJp5OjiahXxxkNtbE0MhrqljV23bqmRFvX2rWxlBWRgZlGwmkGEDgB2ePK4LBePdWrF4+MTsdLVA/KZpNuiKoHtW2DQzevKtGCAupBARjFOT79OKYA0mFoOHLhMWY01MmehCUYJMmxqFC3romMgrp1jV1b19p1/cql1AIF0ihjCacnn3xSjY2NCoVCcrlceuihh1RTUzMvAg0CJyC7ja0Hte9oOOHQ7CKzHtR6h+7YWKo7NpRqk5OrYUAuy9Q5nrgJAKam++IVvTxSG+rAiV69dKJHr57qS7gi8oL8PN20qli3rDWTUJEpeSULmZIHTEVGEk6PPvqofD6fPB6PwuGw2tvbFQ6HVVpaqoaGBn36059O10NlBIETMPecGqkH9eIE9aCWL1mgOzaW6rYNkSTUtvUOghAgh2TiHE/cBADpdWVwWG+c6dP+4706cKJHL43823N5MGH7q5YtsUZDbV1r161r7FpdUsRFSGACqZ7j01rYpKOjQ11dXTHbDh48qLa2Nn3xi19UMBjU1772tXQ+JACMa1XJQn3kxlX6yI2rJMXWg3rhSFgvHu7W/hM9Onvhiv7r9dP6r9dPSxqdinfbRofu2FCqOzaW6oaVxayQAiBtiJsAIL0WFOTpljV23bLGLmm9pEjsd6jrkvaf6NGB4z166USv9h/v0bGey3r33AW9e+6CWl8+ae1jxdIFunWNfTQJtbZEVy9bSgwITEFaRzg99thj+sxnPpPwtnA4rNraWn3iE5/Qxz/+8XQ95KziSh0wP10eGNL+4z164UhYLxzp1guHu3WoO34q3tKifG1b59BtI9Pwbt/AqnjAfJGJczxxEwBkzrkL/TpwPDId78DxHh040aM3z5zXcIJvx4sL87VlTYluXVOiW9dGCpTfvLpEiwrzZ7/jQBbIyAind999V729vQkf0OFwqLm5WY888sicDZwAzE8LC/N15yan7tzktLad7uvXC0e69bPD3SOFybt1vn9ITwU79VSw02q3sXTR6FS8DaXautauhQQfAFJA3AQAmbNsSZE81yyX55rl1rZLA0N65WQkCbV/ZDTUyyd6dXFgSD87HIkLTXk26boVS7V1rT1mlbyyJQsy8XSArJTWhNOuXbv04IMP6rHHHtMtt9ySsI3L5UrnQwLAjFhZXKSfu3GVfm5kKt7QsKHXT/eNJKHCevFIt1473afD3Zd0uPuS9hw4IUkqzLfp1jV2qxbUHRtK5SpbTC0AAHGImwAguywqzNdtG0p124ZSa9vQsKF3zp3XgeOjSaj9xyPlGF4/fV6vnz6vfw0ct9qvsy8cSUJFRkNtXWNncRrkrLQmnOx2uxobG/Xe975X27Zt0/bt2+fNSisAclt+nk03r44Mn/7M7RslSb2XB9R+tEc/G5mG98KRbp05f0X7jkZWyPvrZw9JkpYtWaDbNzh020gtqNvWO2RfREFyINcRNwFA9svPs+m6FcW6bkWxPrF1raRIXaiTvf06cKInJgkV7LyoYz2XdaznslUXVJLsCwsidaHWlmjrGru2rrXr+pVLVZifl6mnBcyKtNZwMoXDYfl8PrW0tKinp0cul0tut1s9PT369re/rU2bNqX7IWcFtQgAjMcsSvnCkW797EhkKl7gWI+uDA3Htb1+xVLdvjFSB+qOjaW6cWWxCgg6gIzJ5DmeuAkA5ofeywN6+WSvtUregeM9evVUnwaG4r9yFxXkacvqyDS8rWtL5F7r0M2riynNgDkh1XP8jCScovn9fusnEAjIZrPJ5XLJ4/HooYce0oMPPjhnghACJwCT1T84pJdO9Fq1oH52pFuhzotx7ZYW5eu29ZERUHdtivzrXEwNAGC2ZMs5nrgJAOaXK4PDevPMee0/3qP9J3r00vFe7T/Ro97Lg3Ft8/NsunFlsbaujSSi3OvsumW1XcUL0zoxCZi2rEk4jZUokGpra9MDDzwwm92YEgInAOlw9ny/XjgSHklCdeuFI2H19ccHHdcuX6I7Nzp156ZS3bmxVDesLFYeS/ICMyJbz/HETQAw/wwPGwp1XVTgWCQJtf9YjwLHe3TuwpW4tjabdPWyJXKvtVtJqK1r7VyYREZlbcIpWk9Pj9rb21VZWSm73Z6pbqSMwAnATDALkj9/uFs/O9St5w536e2zF+LalSws0O0bHFYS6vYNpXJQCwpIi7lwjiduAoD5yzAMHeu5rP3HeyKJqOORJNTxnssJ228sXST3WrtuXWuXeyQRtbpk4Sz3GrlqTiSc5hoCJwCzpfPCFf3scLeeP9yt5w916cWjYV24MhTTxmaL1IK6c5NTd26MjIK6dvlSRkEBU8A5Pv04pgAwfWf6+rX/xGgSyixOnsiq4qKRmlCRBJR7rV0bS1khD+lHwmkGEDgByJTBoWG9eqrPSkA9f7g7YbBRuqhQd2yM1IC6c2OpbtvgUMlCRkEBE+Ecn34cUwCYGeFLAzowMgLK/PfNM+c1nOCbfemiwpgk1Na1Jbp62VLlc4ES00DCaQYQOAHIJmf6+iMJqMPd+tnhLu07GtalgdgV8fJs0k2rSqwE1J2bSnX1siVc6QLG4ByffhxTAJg9F/oHrRXyAsd7tP94OOkKeUsW5OvWNSUx0/FuWFmsQlZMRopIOM0AAicA2WxgaFgvnegdSUBFRkId6r4U127ZkgW6Y0Op7hgpRr5tvUNLi1j9BLmNc3z6cUwBILOuDA7rtdN9CowUJd9/vEcvneiJu0ApSQvy83Tz6uLISKiRJNTNq0u0qDA/Az1HtiPhNAMInADMNSd7L49Mw4uMgmo/1qP+wdggIz/Ppi2ri3XHxkgtqLs3ObXJyXx/5BbO8enHMQWA7DM4NKy3z15QYMyUvN7L8Ssm5+fZdP2KpapYZ5d7nUMV6+y6dU2JFi/gQmWuI+E0AwicAMx1VwaHtf94jzUK6rlDXTqWYPWT1SVFumujU3dtjiSgtq61M8wa8xrn+PTjmALA3DA8bOhg10VrFJS5Ut7ZC1fi2ubZpOtXFI8koeyqWOfQrWtKtITR8jmFhNMMIHACMB8dC1+yakE9f6hLgeM9cfP9FxXm6bb1pbprc2kkEbWpVKWLF2Sox0D6cY5PP44pAMxdhmHoeM9lBY73qONYjwLHwuo41qNTff1xbfNs0nUrlqpinWMkCWXXrWvslGyYx0g4zQACJwC54NLAkPYdCeu5w1167mC3njvcpa6LA3Htbli5VHdtcuruTU7dvdmp8rLFTMPDnMU5Pv04pgAw/5zouayOkeRT4FiPOo6HdbI3Pglls0nXLY+djrd1LUmo+YKE0wwgcAKQi4aHDb119ryePdSl5w5FpuG9ffZCXLsVSxfork3OkSRUqdzr7CoqoNAk5gbO8enHMQWA3HCy97I6jvWo41g4koQ61qMTvfElG2w26VorCWVXxVqHtq61q3ghSai5hoTTFHm9XjU2Nia8jcAJACLOnu/Xc4e6R5JQXWo/2qMrQ7HFyIsK8rRtvcNKQN25qVTLlhRlqMfA+DjHTw1xEwAgkVNWEqpHgeOREVHHE9QNtdmka5YtiZmOt3WtXSULCzPQa6Qq1XM8qcQoDQ0Nam9vz3Q3ACDrLV9apI/etEofvWmVJKl/cEgdx3r07MFIAurZQ906d+GKfnqwSz892GXd79rlS3TX5pFpeJucumb5EqbhAXMUcRMAIJlVJQv1oRsW6kM3rLS2ne7rj5qOF/n3WM9lvXX2gt46e0H/tv+4pEgS6mozCbXWbo2IIgk195BwGhEKheRwODLdDQCYk4oK8q3pdFKk0OQ75y5EElCHu/XcwS69cea8FVD8/YtHJUnLlizQXZtKdedGp+7eXKrKdQ4tLGQaHpDtiJsAAJO1srhIH7x+pT54/WgS6oyZhBpZGa/jWFhHw5f19tkLevvsBf37SBJKMpNQozWh3Gvtsi8iCZXN5vyUunA4rPb2dvl8PrW0tMjlcsW1aW1ttQKjYDCoHTt2yO12x7RpamqSx+NRTU2NOjo6Ej4WQ8MBYOo6L1zR84dHpuEd7NK+o2FdHoydhrcgP08V6+yRaXgjK+KtKGYaHmZerpzjiZsAANnu7Pn+uJpQR8KXEra9ykxCrbVb0/IcJKFmXE5MqQsEAvL7/XK73QoEAgnb+P1+NTY2qq2tzdpWUVGhvXv3Wlfm/H6/tm/frq6uroT7AABMX9mSBfrwDSv14ZGh1VcGh7X/eI9VB+rZQ9063dev5w936/nD3fqTpyP3u3rZEt292al7Nzt1z2anrlrGNDxgKoibAABzwfKlRXr/dSv0/utWWNvOXegfrQk1Mh3vcPclvXvugt49d0F7Dpyw2paXLVbleocq1jlUyXS8jJrTCSe32y23261wOJy0jc/n065du2K2eTweNTU1qa6uTlLkap/D4SBwAoBZtKAgT7dvLNXtG0v1ufvLZRiGQp0X9eyhLj17qEvPH+rWa6f79M65C3rn3AX9w77INLyVxUW6Z5MzkoRyOXXL6hIV5Odl+NkA2Y+4CQAwVy1bUqT3XbtC77t2NAnVeeGKAsdjR0Id7LqoYGfkx0xCmavjVa6zq2K9Q5XrHLp1TYmWFM3pdMicMO+PcCAQiBsGXl5ersbGRtXV1amhoUEOh8MaPh4Oh9Xa2qrq6uoM9RgAcpPNZlP5siUqX7ZEv1y5XpLUfTEyDc8sPv7ikbBO9/XrO6+c1HdeOSlJWlqUrzs3luruTWW61+XU7RscWrxg3p/egBlB3AQAmCvKlixQ1TXLVXXNcmtb18UrChzrUfuxsDqORv493H1Jb545rzfPnNe/BCI1ofJs0g0ri1U5koCqXG/XltUl1BJNs3kdkZvDxZ1OZ8x2p9OpUCgkSdbVOrP9nj17Jgyaent7Y34vKipSURE1RgAg3UoXL4gpLnl5YEjtx8L66cEuPXswMg0vfGlAbW+fU9vb5yRJBXk2udfadY8rMgXvns1OLVvCZzRi9ff3q7+/3/p97Lk9FxE3AQDmOufiBfJcs1yeqCTU2fP9aj8aVvtIXaj2oz060XtZr57q06un+qxR9AV5Nt28OjoJ5dBNq4pVyEj6KcdN8zrhNN5Q77HDyUOhkBobGxUKhdTU1KTa2tqk912/fn3M71/+8pf1la98ZTpdBQCkYGFhvu7ZXKZ7NpdJkoaHDb12uk8/CUWm4f0k1KljPZf14tGwXjwa1p8+HfmSfN2KpTF1oDY7F1MHKsft3r1bX/3qVzPdjaxC3AQAmI+WLy3SB65fqQ9ErY53ouey2o+F1X40Ug9q39Gwzl24ov3He7X/eK8e1RFJUlFBnm5ZXaKK9Q5tWx+pCXXdiqU5V85hqnHTnF+lTooEQaWlpQoGgzGrrQQCAVVUVMRtb21tVU1NjSb71M1K7EePHo2pxM6VOgDIDoZh6Ej3Jf1kZAreTw926vXT5+ParSlZaI1+umezUzevLlF+HgmoXJLoSt369etzYkU14iYAAGIZhqGj4UvaZ46EGvk3fGkgru3iwnxtXRudhHLo6mVLlDePY8mpxk3zeoSTuZrKWNMtcllSUjLvg1EAmItsNps2Ohdro3OxfqlinaRIQcnnDnXpJyPT8NqPhXWi97KaXzqh5pcixSRLFhboro2lI6OgyrRtg0OLmMM/r5H0iEfcBADIVTabTRtKF2tD6WI9vGWNJFkL2kSSUJGaUB3HwzrfP6RnD3Xr2UPd1v2LiwpUsc6uinUjSaj19nk1on6qcdO8TjiZNQjGDgMPh8NxBTEBAPNT2ZIF+siNq/SRG1dJki5eGdS+o2ErAfXcoW71Xh7U42+d1eNvnZUkFebbtG29Q3dvioyAunuzU87FCzL5NIAZR9wEAMCo6AVtPrF1raRIOYe3z52PJKGORmpC7T/eo77+Qf042KkfBzut+5cuKlTl+kgSqnJkNNQ6+8J5k4RKxbxOODkcDnk8HoVCoZhAKRgMyuPxZLBnAIBMWbygQPeXL9P95cskSUPDhl4+2RuZghfq1E8OdulUX7+eO9St5w516xs/DkqSblxZPFqIfJNTG52LM/k0gLQjbgIAYHx5eTZdt6JY160o1qcqIjUKB4eG9cYZMwkVqQn10oledY9Z2EaSVixdoMp1DlWM1IPatt6hVSULM/V0Zty8ruEkSX6/X/X19Wpra7O2VVRUaO/evUmHjidj1iLIhfoOAJCrzOHTPz1oTsPr1FtnL8S12+BYpPtcTt3rKtN9rjJds3xJTl2xmm9y6RxP3AQAwMy6MjisV0/1xtSEeuVUn4aG49Mva+0LVbnOPpKEikzHy/YVllM9x8/phFP0Cimtra3yeDxyu93yer1xxS67urrkdDq1b98+7dixY0pDwwmcACA3nenr17OHzELkXQoc74kLGFYsXaD7XGUjCSinbl5VMq+LR843uXCOJ24CACBzLg0M6aUTvSOjoCJT8l4/06dEGZlNpYtUuX50Kl7FOrtKFhbOfqeTyImE02wjcAIASNL5/kH97HC3ngl16iehLv3sSLf6B4dj2jgWFeqeTU7d63LqPleZ3Ovst1nTrQABAABJREFUKsyxJXTnEs7x6ccxBQBgfOf7B7X/eI9VlLz9WFhvJxhZb7NJ1y5fqtuiklC3rCnRwgwtckPCaQYQOAEAEukfHNK+o2E9E+rST0KdevZQl873D8W0WVyYr7s2lVojoG7bUMpKeFmEc3z6cUwBAJi8nksD6jjWY9WE2nc0rCPhS3HtCvNtunlVibZtiCSgtq136IaVxcqfhRH2JJxmAIETACAVg0PDOnCid2QEVKQQedfFgZg2C/LztG293aoBddem0qwaKp1rOMenH8cUAID0ON3Xr30jySczCXXuwpW4dosL8+UeKUZu/rjKFqe9zigJpxlA4AQAmIrhYUOvn+7TM6Eu/fRgp54Odepkb39MmzybtHWt3RoBdc9mZ9YXjJxPOMenH8cUAICZYRiGDndf0otHRpNQHcfDcSPsJcm5uFCV6xwxI6FWT3NlPBJOM4DACQCQDuZKeGYNqGcOdirUeTGu3Y0ri60aUPe6nFprX5SB3uYGzvHpxzEFAGD2DA0beuvMee07GtaLI0mol0706srQcFzbtfaFMfWgKtc75FiU+kh7Ek4zgMAJADBTjoUv6ScHu6xpeK+fPh/XprxssTUF7z6XU5ud6R8inas4x6cfxxQAgMzqHxzSKyf7ItPxRkZDJVsZ7+plS3TbhtEk1Na19qT1Rkk4zQACJwDAbDl7vl8/tRJQXTpwokfDY87Ya+0LI6OfNkdGQV2/cikJqCniHJ9+HFMAALLP+f5BBUaKkps/B7viR9rn59l006rimHpQN64qVmF+HgmnmUDgBADIlJ5LA3ruUJeeORhZCW/f0bAGhmJP4WWLC60RUO8pL9OW1SXKm4WVSuYDzvHpxzEFAGBuOHehX+1He0ZHQh0L63Rff1y7hQV52rrWri3LCvTtT95JwimdCJwAANni4pVBvXAkbI2Aev5wly4NxM7Rdywq1L2bnbq/vEz3l5fp1jX2WVkqdy7iHJ9+HFMAAOYmwzB0rOfy6CioI2G1Hwur9/Jg5Pb+i9L//QQJp3QicAIAZKsrg8MKHO/R08HOSBLqYGfcSiUlCwus6Xf3l5fJvdaugvy8DPU4u3COTz+OKQAA88fwsKF3zl3QvqNh/fStY2r8RUY4pRWBEwBgrhgcGtb+4716OtSpp4Pn9JODXdZVKVNxUYHu3lSq+8uX6f7yMlWss6swRxNQnOPTj2MKAMD8lOo5vmAW+wQAAGZJQX6etm1waNsGh77wnnINDRs6cGJ0BNQzoS6FLw3o8bfO6vG3zkqSlizI192bnLqvvEz3u8q0bb1DCwpyMwEFAACA6SHhBABADsjPs6linUMV6xz63P2RBNQrJ80RUJEkVNfFAT3x9lk98XYkAbWoME93bXJaRchv2+BQUUHi5XEBAACAaCScAADIQfl5Nt261q5b19r1W/e6NDxs6NVTfXo61Klngp16OtSpcxeuaO8757T3nXOSIiuT3Lmx1BoBdcfGUi0sJAEFAACAeCScAACA8vJs2rKmRFvWlOg37tms4WFDb5w5r6eDkRpQT4c6deb8FT0V7NRTwU5JUlFBnm7f4BgZAbVMd2x0aPECQgsAAABQNHxSKH4JAMhVhmHorbPn9eN3I9Pvfhzs1Km+/pg2hfk23bbeYRUhv2tjqZYUzY0EFOf49OOYAgAwP6V6jifhNAkETgAARBhGZGncyAioyBS84z2XY9oU5Nm0bb1D95VHakDdvcmppVmagOIcn34cUwAA5icSTjOAwAkAgMQMw1Co86J+HDRHQJ3T0XBsAio/z6aKtXbdP5KAumdzmYoXZkcCinN8+nFMAQCYn0g4zQACJwAAUmMYhg51XRpZBe+cng526lD3pZg2+Xk2Va6z6z1XLdN7R0ZAZWoKHuf49OOYAgAwP5FwmgEETgAATN3hrot6eqT+09PBTh3suhhze0GeTbdtcOg95cv0nvIy3bWpdNaKkHOOTz+OKQAA8xMJpxlA4AQAQPoc7rqop0ZWwXvq3U4dCceOgFqQH1kF7/7yMr33qmW6c2OpFhbmz0hfOMenH8cUAID5iYTTDCBwAgBgZhiGoYNdkRpQP373nJ4KxhchLyrI0x0bSvWeq8r03vJlun2jQ0UF6UlAcY5PP44pAADzEwmnGUDgBADA7DAMQ8HOi3rq3Uj9p6eC53Sytz+mzcKCPN21yan3XBUpQn7b+lItKMib0uNxjk8/jikAAPNTquf47FgaBgAAIIrNZtNVy5boqmVLtPOOjTIMQ2+fvaAfB89FRkEFO3W6r19PvntOT757TpK0uDBfd28u1f3lkSLklesdKsyfWgIKAAAA00PCCQAAZD2bzaZrVyzVtSuWynvnJhmGoTfPnNdT73ZaSahzF66o7e1zans7koBasiBf92x26j3ly/Teq8rkXmtXAQkoAACAWUHCCQAAzDk2m03Xryz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GAhoZDSZYoseuKMpR9V2LjHn9xbNvaGDYrxG/X6MBaWTUHxwfCOj2uXmqffA2Y+xH/2ufMeeYJI4/oNtL8vTPH7rTGPv+r7+ss74BjfojSZ7RQHB8WXGufvjoPcbYt/+/X+uNS73G80U/d6l1jl7b8XZj7N1//wu1nfHGPcbzcjN14XMPG99X/3urfu7uijs2NzNNPV94l/H9H33n1WsmRPxffq/x9eeeO6JvHTw37tjeL7xTOZnBH51/+MVx/XvbmXHHXnjiIc3LCyac/q31tBpeODnu2HesLjESTt999YL+5vnxG8U6Vs4zEk4/OXxJf9VyZNyxb1lebCScfnrssmp/+Pq4Y+2LLUbC6dcnurTjB6+NO3ZNSZ7xB0PrGe81n3d5UY6RGNrX4dMnv3do3LFf37rBGHvgXI9qmg+MO/YfP7jOGPvahR595JuuccfWvXuNHn978P/7kUu9+sC/7B137F9W3q4nHl4lSTrR3a/NX31h3LGfeqBMX3rvWknSWd+A7vjSz8Yd+9ibluufHlkvSeq8MqT5Tzw37tjfrViif/mNjZKkK0MjKvqLn0QlokLJrFBy6n3rFuhrWzZICv6OWPH53UYCK5zMSgslv95qK9ZXQnOQpHc0vqihUb/SQsmudHNwXJrZpHUL8vVX71htjP2j77yqK8OjxnOlmUPjTSYtK5yjT7wl8kfyP/3quHoHR0PjFHpus9LMUnFOpqqifk89+8ZF9Q6OKD3NNOa5czPTde+yQmPsGxd7NDDsV7rZpPS04HOmh8ZmpplVkp9ljB0JvS+TicQdZobZGje1/ckD+ruXzusff3lc3z10Qc8evqRPPVCmnQ/eptysSQ1FAQBAEk3qWd7n80nSrKsGWv7XLRrNyIkkhkJJmY/ft0z/L5SUudw3pAWfm9gfkwPDo3rLV3417tiqOxdq1+9UGN9/bNcr44595+qSmITT/33erSvDo3HHvtVWFJNw+vEbF3WpbyjuWN/gSMz3B875dLK7P+5Y81V/3F3uG9KFnsG4Y68Mxc7t6sdG819VjJeZZlZWujn4R3foD9pwRUlORlrM2JK8TC21zjGqWMxmU0x1SyAQMP4oLS2co3UL8o2qGrNJsRU2UXNcOS9Xb15eGFMlYzZFnjs9qkJl3YJ8vXN1SfD1TeHnioyfEzXnDYsLtHXDIuN5rmbJjvzorl+Yrw9vXBxzf/RDinIiVWFr5+frt+yxY6PNj/pjfdW8PP1O+ZJxxy4OJUwlqaw4R79bEX9sICAtL8wxvl9aOEe/uXFxMEkbuj/662WFcyLzycvS++6YHxoTqQoLjg1oWdTzFs7J0IO3zY193qjx4SokScrLTNc9S60xzxX9mIUFkeOQmWbSHfPzIxV0oao0fygxWxh1fE2SinMyIlV6oWRsONEa/f/Bf53a0uh/d39AGhr1jzu2bzDycxQISKc88X82pdh/C0l63t2pwZH4z+3pH475/puuM+q6Mhx37N2l1piEU/1Pj+m0ZyDu2LXz82ISTp/83iG9cbF3nPnOkfvPHMb3v/2f+yaclK5seFHPuztlNknpZrMy0kxGcio/Kz3meT/efEC/PtEVGhNMYkV//eNt9xj/Jn/3c7fazniUYTYrLeo5M9KCY//6HauVmR7sVfOD1y7o9Qs9Sk8zKSOcHAt/nWbSh9YvVHboZ//Q+R51ePtj5pqRFvw6w2zWbXNzjeftGxzRsD+gjKgxJNZmvtkaN1nnZOhv33eHHr17qf74u6/KefSyvrD7qP699bTq37M2eL7j/y8AALPOpCyp27lzpxobG41eBFarVX/6p3+qT33qU4l+qSkVLhvTJ/5bpqycMfdvu3epGqrukiR19g1p3md/IknGHztp5vBnk7bctUhfrQompwZHRnXHl35mVAqkp5mivjbrbWXF+sK71hiv876vvSyTSUYlQvTn9QsL9MkHyoyxf/qj1zXiD8RUIoSff6l1jj5sjyQJvtF2WoMj/kjlRFQSpzg3U5W3zzPG7jl6WYMjo1FLgEJVFGaTcjPTZF9iNca+cbFHQyOBMUuM0kJ/KJVGJQK6rwzJH1BkTGhZUbiSI52Go5glAsay0eglpOHkVEAZaWblha78+/0BdfgGjCRXeEz467ysdOPnKBAIqPW0d8yYcDViUU6mNi6OVFB8++A5DY/6jftH/QpWRPoDWliQrffdscAY+3c/d6tvaESjoYrG6GrMUmu2/vf9NmPsjh+8pst9Q8HnjUrMj/gDWmKdo3/4wDpj7O/+1z6d6LpiPNdo1HwXFWTrx9vuNca+86kXdeCcz6jwHB4NVo0OjwY0Ly9THX/5kDH2/q/8Ur86EX+5aX5Wuryff6fx/TsaX9RzRy7FHZtmNmm4/j3G94/8615959Xz4/7b9n/xXcZS2t/5T5f+w9Ux7tjLf/WwinKC1Yofbz6gxhfHr4I88WebtTSUMPzU9w7p//7cHXN/OEmWkWbWS//7fq0qCS4h/ftfuNXwwkllpAWrwDLSzDGJqn/4wDqtDC03/eFrF/Stg+eMJFdmeuzYj1aUallRcA4Hz/n04snumKRYZnrwc0aaSeVLrEYlZmffkM75BiJjQ3MIPr9ZOZlpxlLlZEnmkrrZHjfd9YUfKj07z7jo090/rNOefg2NBkPQ+1cU6e8/sE7/9+dutXf2xVxsCV/MmZ+XpWeiLr594tsHdfhSb9xl1AVZ6TFj//RHr+vgOZ9xvxRZRp2Vnqb//u1yY+wX9xyV64w3dg5RS66/8ZsbjWr2f/71Ce097TEuHkUvvTZJ+tJ71xoXk3btP6u94eXZ5rFjP/VAmVHl7DxySW1nvGOqWsMXrH67fIksoeXZe095dPC876rXD87VbJIeXlViLOU+fLFXhy/1xoyNnnvFEqvxvOd8Azrt6Q/FY9HVp8HYbLEl26j2vjI0op7BUSO2i65UDVfOskQcAGaXpC2pq6iokMvlUlVVlWy24B8fbW1tevzxx9XS0qJnn3020S855Vr/+H5ZLJbYhI/JpJzMSIVKUU6GhurePaHlHFnpaTq2c/OEX/97H7t7wmOjE1XX89vlpRMe++DKuRMeG17yNBGFoT+8gNnOFEr+ToTZbIpJzF7veTcttU54Ho+sXzjhsX/8Vtv1B4XUv2fthMf+229unPDY6OTT1a6+fvKjR+/V4OioRkYDGvYHlyGHk1NXX2mpe88aPd5XFlz2PBrQsN8fGh9MbEX7vU2lesuKImO59HBoqXL4senmSGL8LbZimU2myP2h1w9/nRmVRF9sydZdiwoi8ww99/BoQEOjsWOH45TIhV+jf9gfk7w53zM4bgWZJPVFVZruO+vVv+49Pe5Yx8p5RsLJefSSPvW98ZfdPrvtHqNB9LcPnrvm8thv/W6FPhj6v/jM/g5ta3rFSFxlpgUTX5mhZNUX3rlG7147X1Kwh93nnUeNxFhmutlIamWmmfWbGxfrTcuLJEnHO6+o6cDZyHOmRZ4zM82ssoLk/EGcCnHTK2d7ZMoaW209NzdTfUMj+sXxLlX83c9lyc5Qd3/8KspSa3bM962nPXr5tCfu2OjKXinYQ/Fn7fH7F2anx17I+tXxLv3w9fGX4H8j6vfV8+2d2vXK2XHHfvHdkRjs2Tcu6l9bx//ZeuxNyyPL6g+d1z/96sS4Y9+1psRIDDUfOKsv/Wz8JfivfOoBI+H0zP6zeuK5w+OOfeF/vUX3hJYw/6erQ49fY1l9S8292rwyeCHy31rP6A+/fXDcsd/9vU16b+jixTddZ7Rt1yvGBchgUkrG1//vkTv1/nXBsT85fFF/9J1XxySwwl//6eaVek/od8HeUx79+bOvxx1rNpn00U2lesfq4O+jo5d69TfPu42K03BSLLxMu/L2uUZvzws9g/rv/R1GJWt6VKVqmim49HzdwuAfWn2DI/r1ye4xF3jDfy+U5GVpYajFwcioXxd6B6PGmWP+rkhnOTiAWSKhCafPfOYzstls2r1795geBB6PR9u3b9fTTz+tRx99NJEvO+VWzstTQcG1m13eyB+TAIBbd3Vwnp+drvwJnubuWjTxvjnvjar6up7t9y7T9nuXTWjsX1Terr+ovH1CY//ufXfoS+9Zo+HRSFJq2B9JTi2NSlDW3LtM71g1z7jPeEwooRW9jPXB2+Yq/V0mY8zQVWMXFUT+6LcV5ep9d8yPmUPw+YPjozd5yEgza15u5pgkWvT9Yf3DfvUOjkqKvxy8dyiyxLvDO6AfXaM/34ZFFiPhdPhSrz5zjV5zX3QsHfe+yZIqcVPz75RrTl6+wrnb8FLm3Mx03TY3R7U/fF3P7D+r7v5h5Wam6Tc2LNJDq+bJbDIZS5/nXLVU/q/esUqX+4aM5HH0MurMq6qhP/22Mn3EvkThVHP0cuqrK+s+ft9yvWN1yZi5hl8n+tfMb25crI2LLTGbjESWUQdi5vGO1SUqzs1UQNGVqgpVrgZiWgHcs7RQvYMjxsYi0eMDgYDyMiO/11aX5Ok9a+aPqWqNN3axJVv3Lis0XjM8Njz36Aun+dnpWlY4J9LXM1x5GkrCR7+3662ViG6XMDTi18A4y7glxSzx9vaP6MilvnHHXo5qA3Gxd1AtR8bf6OQtK4qMrzu8A9esJs3NTDMSTqe6+/Un3x2/7+RfVt5uJJxOdvfr4cYXxx37yQds+vJ77zDmsOILu8cdW3PfMqN3amffkMqe3H1VYiyyEuKR9QuN5ObA8Kje/s+/jkpcRfocpqeZ9OblRUY/SylYWZtmLCGPVJ+mm81aVZKrrRsibRj+5eVTCkjGcvNw9Wu62aR5eZlGv1lJeuVscOl7eIl4eBl5htmk7Iy0mPNDdFsLALNPQpfUbdmyRbt27brmmMcee0z//M//nKiXnFLhsrHab7Xqr9+/keVdAADcpPCy0nAvqvA5tXdwRBd6BjXs92toJCqRNuLX0Khf6xbkGxshnOi6op+1d2po1G/cH05mDY369cF1C4wl3q+c9ervf37cuC+cUAt//ejGefrtN62a0iV1qRI3TeSYPt9+WX/0nUM6cC7Yx2r9wnz9/fvX6W23TbyiGsnlj1oSHd5leDQQUG5mmpFU7hscUeeVoZil2dFLqZcVzjGq3S/1BqszY5Za+wMaDSXKNiwqMJYZn/H066ftl4PPO2YeAT1QVmxcWDjRdUXfaDtjVJpGV7OOjAb0gXUL5Ai1kTh6qVef/cnhmCrW4IY9wcf9TkWpfndTcIXAsct9qv73VqNKNVLZGvx47L7l+suHghcV3J19WlP/Uw2Pxv8z7A/fvFz/+MHgBh/nfQNa9Fct4x73j24q1de3bpAk9QyMyPLnPx537Ja7FhlLSP3+gNJ3/GDcse9eU6LvfyyyCVDOZ344brLwbWXF2vPYm4zv5/3ls+ocp+fjplKrXvqj+43vl/+1Ux2+gciycKOPollr5+fpuZr7IvP/91ad7O4fk8TKSDNrYUG20a5Ekj7vPKIz3oGoJFpkeXhBdrr+5K2RFiQ/eO2CLvcNxV0enp2epreWRXazPtV9RYMj/phq2quXqpNAQypIypK6cCn4rY6Z7up+ekw/7+jXN35zo8rmsq0vAAA3KlwJnB5buKK8rHSjf9n1LC/K0UeLxvZUjOeuRRZ9/Tc2jHt/uGH3VEqVuGkiHiibq9Y/vl+NL57SXzz7hg6e69GDX31BW+5apPr3rDESC5i+zGaTzDLpqmK0GLlZ6RPemXBeXpbm5WVdf6CCG4NMtDXE8qKcCVeTrpyXp//8rfLrD5R029xc7fvkAxMaayvO1WBdsDdgOFEXTmiN+P0xVZ9zczN15DMPhvorKpLMCiW/5uZG2lFkZ5j1nd/bFLNLdnRSbXnU78uAgpWC4SrV8BLx8LLvdQtiW2K8e818DYyMhsbFPibcMzBsQX62MtLMY55z2O+P2UBFUqR/oz+g4B5FkerW6PcmSa+c9eno5fhVb2XFsb8jvnXgnPafjf97fUF+VkzCqW7P0XF7PuZlpcn3+cjO1zXNB/STw/F7PppM0uiXIjtff/S/9ulHb1w0lm9npJmVGdXH8BefeLPR8/Fvn2/XL9ydoTGhzUOivv78O1YbPzvPvnFRB8/5jD6IkcRX8PO71pQYPdbaL/fpQu9gTCItehn6vNxM44KP3x8Ys0EScKumfC/aeIHTnj179OCDD071VG6aJTtdL57s1sb/+7z+8QPr9TsVS/jBBAAACTcb4qaJSk8z6w/evFxbNyzSX/7ksBpeOKFdr5zV9187r888uFKfflvZmKV1wEwXk6jLGHt/elpwl9KJyEgzx2z2cS1pZpP+3DGxxJskNf1uxfUHhRx8/G3j3ue/qgfhK596ILIcezTSG3HYHxizPLax+k75BkaMvozhfovDfn/M8lFJ+vibluusdyCm12Lwcf4xFzXuW16kguyMuMvDr/6dk5ORJkt2ulFROxL1fjLMsfPt7h+OWfp5tbSovx9bT3v03UMXxh37uYdWGV83Hzinr798atyxp//CYSSc/uGXx/WPvzw+7tg3at+u20Mbh/z5s2+o7qfHjCTW1QmyH3zsHq0NJSL/de9pff3lU0biyuiNmB58zJ9uXmlsSPKr4136yeGLsePSggmwzDSzKm+fZ/Q36/D26+ilPiPxFh4Tfu55uZnG7r4kyGaGhCacKisrr9lrYM+ePSosLBxze0NDw4wKnH71iTfrD3/Yrp+7u/R7z+zXj9+4qH/+0HoaXgMAgAlLlbjpRhXnZuqfHlmv7fcu1R9951X93N2lz/7ksP7l5VP6m/fdoQ+sW8AfGMAMdfWOhcW5E//76YGyiS+xnWj/ROnGNjr51kc3xXwfCEQqvq7e0OOfHlmvL7xrTUxCLfrr6B5y2+5dprfdNldDI/6Ynozhz9GJr/uWFYaeY2yCbGjEH9MTrignQ7binKvGhvs0+mOSZMOjwT54waXn0tW9FP1RnXhOdF3RL493jXucPn7fcuPrF05266+dR8cd66y5z0g4ff/QBf3BBDch+A/XGX30v/cbialw9VZmqNLr796/zthk5Pn2y/qr547ETY5lpJn10U2lRs/HY5f79N/7O8ZsLhJ+TMUSi5FM8/YP69XzPXGTY5lpZhVkp6f8hZKE93DavXu3bDabioqKYu7r6uqS2+1WRUXFmNtdLpdGR+M3B51Ootcp5ubl60s/O6a/fDa4rnuJJVv//psb6TUAAMAMdCP9hhIlleKmmz2mgUBAu145q8e//5rOeAckSY6Vc/V3719nXGkHANy6vsER9Q6NjpsgW78w36iceuNijw6d74npmzg0Ehn/2+VLjH6LziOX9N1D54P3jUSND/VfrHvPWq0PNd//T9cZfWH30WCPxRH/VWMD+u7vb9LDoR1wv/bSKW1remXc99P0O+X60J2LJEn/va9DH/6ma9yx//obG/Q7FcFluT947YLe9/WXxx37lQ+u1x+8ebkk6afHLmvzV18Yd2zdu9cYjfr3nvLo/n/6VWxiKiqh9Ym3rNBjbwo+74muK/p484ExiayMUCLrodvnGTt6evqH1fDCyTHPm5luVla6WbcV5+rORcHjOzzq1ytnfcbzZqWlxTxuTkaaMtMn1qc6KT2cnE6nbDabCgsLx2xPXVhYqPLy8jG3JzDfNaXSzCZ95sGVcqycp49806Wjl/u0ueEFPf622/RXD6+a8D8UAABITakUN90sk8mkrRsW6z1r5uuLPz2mL/+sXc6jl3XX3z6vP3zzcj3x0KqYHa8AADfnRnqsrS7J1+qSiSX9HbfPMxrxX8+H7Uv0YfuSCY39iH2x3rt2/pikVPjr2+dFlqLet6xQ//kRe9zk2NCoXxsXR3aKXWLJ1rZ7l8ZNjg2NBlRqjezYm5lm1sq5uWPGDI36jebyYZHnkuLtxNvdH2m07+kf1nNH4vcKk4ItfsIJp0u9g9r5o/F34f3EW1boHz6wTlJwd8+7//4X4479vbtL9bUtGyQFNyFY9nmnUTGWmW5WVlT11tuWzBn3eaIlvGl4a2vrDT9uy5YtiZzGlKootartT96qP/neIX3tpVOq/+kxOY9c0n98ZOOEfwgBAEDqScW46WblZqXr/7xjtX5vU6k+/f3X9J1Xz+sffnFc/+nq0BfetVq/t2lpzPIUAMDslp2RZvRzup5lRTlaNsFNRjYstqih6q4JjX3ziiId/kz8Je6BQHCJYtimUqtO/bkjbnJsaMQf09S/1DpH//obG2J33zUqvgK6f0WkKjo3M10f3VQaTJ6FxgxGJb5ui2qo7w8EE2ZDo4HgmND4cC+y6L5pg6Oj8vTH321SklbkTuwCWEKX1O3evVubN2++4cft27dPGzduTNQ0Js31ysb+5+A5bWt6RV1XhpWVbtZfv2O1/vitNgIgAACmuWQsqUv1uOlWPHf4ov74u4f0xsVeSVL5Eov+/gPrjB4cAABgYvyhXSQlGTsnjoz65e66EkpexSa8Bkf8yjcN6m1rl133HJ/QdV/Hj4/fAT9s69atY26bCUHTRHxw/UId+NTb9I5V8zQ44tfjP3hNb/t/v9LRS73JnhoAAJhmUj1uuhUPrSrRK596QH/zvrUqyE5X2xmv3vKVX+l3/2ufzoZ6PQEAgOszm03KSk8zkk1ScIfM2+flaf3CApUvseq+5UV6oGyuKm+fp/esna+Ni60Te+5ETrSuru6a9+/bt09OpzORLzntLLJk64eP3qOnqu9Sfla6fnWiWxv+9nn9wy/cY7YBBQAAqYu46dZkpJn1J28t0+HaB/V7d5fKZJK+0XZGq+v36K+dR3RlaCTZUwQAIKUlNOHU3t6ur33ta3Hv27lzp8rLy+XxeBL5ktOSyWTSx+5ZqgOfekCbV85V/7Bff/zdQ9r81Rd0vPNKsqcHAACmAeKmxJifn6WvbdmgF//X/bpnqVW9g6P6y2cP6/Yv/lRfe+mURrngBwBAUiQ04WSxWPTVr35V+/fvN27bs2ePVq5cqcbGRtXV1WnFihWJfMlpbVlRjn6y7V595YPrlZORpufdnbrzb36mr/zyOMEPAAApjrgpsTYttepXn3iLvvkRu5YXztFZ34C2Nb2ijX/7vH78+oWU2+EPAIBkS2jCac+ePdq7d69aWlq0f/9+PfbYY3I4HNq4caPcbrcef/xxtbW1JfIlpz2z2aQ/ePNyHfj0A3qrrUh9Q6P63995Vff/06908Jwv2dMDAABJQtyUeGazSb+5cbFer327vvzetSqck6FXz/fo3V97WZUNL8p1xpPsKQIAkDISuktdtI9//ONqampSY2OjPvShDxm3nzhxQsuXL5+Ml5x0t7rbit8f0FdfOKmdP3pdPYMjSjeb9Pjby/Tnjts1Z4JbOgIAgMRLxi510YibJkf3lSF9Yfcx/eMvj2toNLgDz0fsi/XX71g94S2yAQBArIme4xNa4RTtq1/9qrZt26bKysqY22trayfrJae9cLXTazvepg+sW6ARf0BP7j6mu/7mee05ejnZ0wMAAElC3DQ5CnMy9aX3rtUbtW/XhzculiR909WhVXU/1Z9891Vd7BlM8gwBAJi9brrCKd42vVfzeDxyu91yOBySpK6uLjmdTnV2dt7MSyZdoq/U/c/Bc/rE/xzUOV8w2Pkt+2LVvWetFhZk3/JzAwCAiZvsahzipuRUOF2t7YxHO77/mn7aHjymuZlp+t/3r9CnHyhTYU5mkmcHAMDMMNFz/E0nnIqKimSz2VRUVHRDj9u9e7dGR0dv5iWTbjICJ2//sP70x2/oqy+cUCAg5WWl6S8ct+uP7rcpM33SCtAAAECUyU6OEDdNj4STJAUCAT135JL+4sdvqPWMV5JknZOhTz1g0x/db1NeVnqSZwgAwPQ26QmniooKtba23vDjtmzZol27dt3MSybdZAZOe0959L/+56BePu2RJK2al6u/+8A6PbyqJKGvAwAAxprs5Ahx0/RJOIUFAgF999B5/eWzh/Xq+R5J0tzcTH3mwdv02JuW018TAIBxTHrCaffu3dq8efMNP27fvn3auHHjzbxk0k124OT3B/Rvrae180ev62LvkCTp/XfM1xffvVarSvIS/noAACBoss/xxE3TL+EUNuoP6Jn9HXriuSM6drlPkrSoIFufefA2PXrPUmWTeAIAIMakJ5xS0VQFTt7+YX2u5Yj+8ZfHNeoPKM1s0qP3LNVnK2/XAvo7AQCQcDMlOTKTzLRjOjzq17+1ntb/aTmi054BSdKC/Cx9+m1lqrl3mXJZagcAgKRJTDgdP35cu3fv1pYtW2ZE8DBRjY2NkoI9Fux2u2w225gxUx04vXa+Rzt/9Lq+/9oFScHGlp98oEyffqBM+dkEPQAAJMpkneOJm2ZOwilscGRUX3vptOp+etRIPM3NzdSfvNWmP3zzchVkZyR5hgAAJNdEz/E33JV6xYoVCgQCevDBB/Xwww/r29/+9i1NdDqora2VzWbT9u3b5Xa75XQ6kz0lSdLaBfn67u/frZ899ibds9SqvqFR/Z+WI1r5xd36+1+41T88M5uIAgCQKoibZp6s9DT9wZuX6+hnNqux+k7ZinN0uW9If/bjN7Ti87v1uecOq/vKULKnCQDAtHdLS+qOHz+uhoYGNTc3q7y8XDU1NXrwwQcTOb9J5/F4VF5ervb29uuOTeaVukAgoG8dOKc/+/EbOhrqL7AgP0uPvz1Y5p2TScUTAAA3ayrO8cRNM9PIqF//tb9DX3Ae1eFLwRgsPytdj96zVH90/wotLcxJ8gwBAJhaU97Dad++fWpoaNDu3btVVVWlmpoaLV++PBFPfU0ej0etra2qra1VU1NT3JLu5uZmud1uWa1Wtbe3a+vWrbLb7cZ9DQ0NqqmpkSS53W7t2LEj7mtNh8BpeNSvf9l7Wk/uPqqT3f2SpJK8TH36bbfpsfvoLwAAwM2Y6nM8cdPMM+oPXvz7/O4jOnguuKtdmtmkrXct0icfsMm+xJrcCQIAMEWS2jT8W9/6lp555hkdP35cW7du1fbt2ycl0HC5XHI6nbLb7aqsrFR7e/uYwMnpdKqurk4tLS3GbeXl5dq9e7esVqsaGxtVW1ur7u5uSVJ9fb0kxQ2eplPgNDTi1zfazugLu4/qeNcVScH+An/wpuX6gzctV0l+VlLnBwDATJLMczxx08wSCAT07BsX9TfPu7Xn2GXj9gdvm6tPPWDTO1aXyGQyJXGGAABMrknr4TQRH/rQh7Rr1y45nU5ZLBajb8HTTz+d0Nex2+3asWOHKioqxh1TW1trXIULczgcMc0uo4Mtm82mZ555JqHznAyZ6WZ97J6leqP27fr61g0qC/UX+KuWI1r2eae2Nb2i1873JHuaAADgOoibZhaTyaR3rpkv58fvU+sf368Pb1ysNLNJe45d1ru/9rLWf/lnevqlk7oyNJLsqQIAkFSTknAKs1gs2rZtm1pbW7Vr1y51d3eroqJCW7du1Z49eybzpQ0ul8soAw8rKyszgqN4peQzSUaaWR/dVKrXd7xdz/x2ue5ZatXgiF9fe+mU1n35Z3rXUy/q+4fOa9Sf8EI2AACQQMRNM499iVX/8RG72nc+qD95q015WWl67UKvtjcd0JL/49SnvndIx0K9NwEASDWTmnCKZrFY9Pjjj6u1tVWf+cxn9Nxzz+m2227TY489pv3790/Ka7pcLknBq3HRioqK5Ha7JWlMUOV2u7V169ZJmc9kSk8zq/quRfr1/3qLfvmJN+uR9QtkMknPHr6k9//LXq34vFOfe+6wznj6kz1VAABwHcRNM8vSwhz9zfvu0Kk/r1T9e9bKVpwjT/+w/u/P3br9i3v07qdf0g9fu8AFQABASpmyhFO0jRs36otf/KKOHTumqqoqfeELX5iU4Kmrq2vc+zwej/F1U1OTamtr1dzcrM7OznGbX4b5fL6Yj8HBwURN+ZaZTCa9aXmRmn93k47UPqhPPmBTcU6GzngH9Lnnjmj55536wL+8rO8dOq+hEX+ypwsAQFIMDg6OOZ9PV8RNM4d1ToY+/bYyHal9UD/42N165+oSSdKP37io9379Zd3+xT2q/+kxnfcNJHmmAABM3M3GTZPSNHyqeTweFRYWjml+6XK5jK17o29vbm5WdXW1bvSthxtjXe2zn/2snnjiiZue/2QbGB7Vtw+e01MvntLz7k7j9uKcDFXftUi/Vb5E9y0rpMElACBlPPHEE/rc5z435vbZ1uA6HuKmqXXscp/++dcn9C97T8vTPywpuLvde9fO1+/fvVTvWDVP6WlJuQYMAMCE3GzcNKsTTm63W2VlZWNub2xsVE1NzU0HTqdPn445qFlZWcrKmhm7wr1xsUdPvXhK/7mvQxd6IlcYbcU5+s2Ni1V150LdubCA5BMAYFYbHByMqbTx+XwqLS1N6YQTcdPkujI0ov/ef1Zfe+mUXjjZbdy+qCBbv1OxRL9/91LdNjc3iTMEACC+m42b0qdictF8Pt+UBXLhHgTRZeDh76/uQXAjCgoKZmwwurokX3/zvjtU9+412nPssr7p6tC3D56Tu/OKPu88qs87j8pWnKMPrFugD65bqPuWFcpsJvkEAJhdZkrSg7hp9sjJTNfv371Uv3/3Ur12vkdfe/mUvtF2Rmd9A/rinmP64p5jequtSB+2L1HVnQtVlJOZ7CkDACDp5uOmKUk47d69W263W8XFxbJYLHK73TKZTHr00Ucn9XWtVqscDofcbndMoNTe3i6HwzGprz3dpaeZ9dCqEj20qkT/75H1+t5rF/TM/g49d/iS3J1X9LfPu/W3z7u1ID9L77tjgd69pkRvv22u8rKmPEcJAEBKIW6a/dYuCF4AfPJda/S9Q+f19ZdP6SdHLunn7i793N2l//U/B/Wu1SX6sH2J3rN2vuZkpCV7ygAA3LBJX1L39NNPy+FwaPny5WPu+/KXv6xPf/rTt/wa45WGS5LT6VRdXZ1aWlqM28rLy7V7925ZrdYbep1wafhsLrfvHRzRs29c1HdePa8fvH5BvoER476MNJPesrxID60q0cOr5umuRSy9AwDMDtPlHE/clLpOe/r1X/s69J+uDh04F2nGWpCdrkfWLdSH7Yv1trJi+j0BAJJuouf4SU047dmzR4WFhdq4ceO4Y24leHK73WpoaJDb7VZzc7McDofsdrtqamrGNLvs6upSUVGR9u7dq61bt95UaXiqBU5DI379tP2yvvvqeT13JFj5FG1BfpYqb5+nt9qK9UBZscqKc0hAAQBmpOlwjiduQtir53z65r4O/ZerQ6c8/cbtc3Mz9f51C/Sh9Qv14G1zlZlO8gkAMPWmRcLp6aefvm759+7du7Vp06YZEYikeuB07HKfnn3jop47fEl7jl3WleHRmPsXFWTrgbJivdVWpLfairW6JI8EFABgRpgO53jiJlzN7w/oVye69E1Xh5oPnFXXlWHjPuucDL137Xw9sn6hHlo1j2V3AIApM9Fz/KQ25Lk6l/XQQw/pxIkTOnLkiHFbRUWFWltb9eCDD07mVJAAt83N1SfeskKfeMsKDY6M6lfHu7Xn2GX93N2pl05166xvQP+1r0P/ta9DkjQvN1P3LivU3UutundZoTaVWlWQnZHkdwEAwPRE3ISrmc0m3W8r1v22Yn3lg+v0vLtTzQfO6TuvnteFnkF9o+2MvtF2RnlZaXrnqhK95475eufqEs3Nnf4N8QEAs9+kJpyurm4JBALy+/1jxk1yGylMgqz0ND24cq4eXDlXktQ/PKoXT3br+fZO/dzdqRdPdutS35C+/9oFff+1C5Ikk0laW5Kve5YV6t5lVt2ztFBrSvLoRQAAgIibcG3paWZtXjlPm1fO01c+uF6/PtGlbx08p28fOKcz3gE1HTinpgPnZDZJ9y4r1LvXzNd71s7XugX5VJwDAJJiSiucohtQhu3evZudT2aBORlpevttc/X224IJqMGRUe3r8OnFk9166VS3XjrZrRPd/Tp0oUeHLvTo6y+fkiRlp5u1fmGBNi62yL7Eoo2LLFq/MF/ZlIUDAFIMcRMmKi2q8ulv33uH9p726PuvXdAPX7+gV8769OsT3fr1iW792Y/f0FLrHL177Xy9e02JHrAVK5cdhwEAU2RSzzg2m0379+/Xhg0bxh3T3t6uRx55ZDKngSTISk/TvcsKde+yQuO2874BvXTKYySgWs941TM4or2nPdp72mOMSzObtHZ+nuyLLdqwOJiEunNRgaxzWI4HAJi9iJtwM8xmk+5ZVqh7lhXqr9+5Wqe6r+hHr1/UD1+/oN1HL+uUp1///OsT+udfn1BGmklvXl4kx+3zVLlynuxLLEozU/0EAJgck9o0XJKeeuopVVZWTur2vlOF5peJ5fcH5O66ItcZr/ad9WrfGa9cHV5d7huKO36JJVvrFuRr3cICrV+Yr/ULCrS6JI9qKADALZsu53jiJiTSlaER7TnWqe+/dl7PHb6kk939MfcX5WRo821zgwmo2+dpeVFOkmYKAJhJpsUudWG7d+/W8ePHVVRUJEnq7OyUyWS67k4s0w2B0+QLBALq8A7I1eHVvtDH/g5fzJbA0dLMJq2cm6v1oUTUugX5Wr+wQLaiHJm5YgcAmKDpdI4nbsJkCAQCOna5T88duSTnkUv6aXunfAMjMWNum5urt9qK9UBZkR6wFWtpIQkoAMBY0yrhFM3r9cpisUzlSyYMgVPyePuHdehCjw6e8+nguR69ej74ubt/OO74nIw0rS7J09r5eVo9P19r5+dpTUm+yopzaFIOABhjup7jiZswWUZG/Xr5tEctoQTUi6c8GvXH/lmwvHCOHigr1lttwQ9bcQ4NyAEA0zfhNJMROE0vgUBA53yDOhhKPr16zqdXz/fotQs9GhgZu6uPJGWmmbVybm4wATU/X2vm52nt/HzdPi9XWekszQOAVMU5PvE4pjOLb2BYv3B36Xl3p37e3qm2Du+YBNRiS7YesBXrrWXFetOyQq2dn09FOQCkoElPOO3cuVNPPvnkDT9upvUfiEbgNDOM+oMl469f7NHrF3r1+oUevX6xV69f6NWV4dG4jzGbpLLiXK0JJaLCFVGrS/KUx24uADDrTfY5nriJuGmm6RkY0a9Pdun59k79wt2pl097NDwa+2eDJTtd9ywt1H3LC3XfskLds7RQFjZ5AYBZb6Ln+Jv+S9rlct3U4/bu3XuzLwlMSJrZpFUleVpVkqcPrIvc7vcHdMrTr9cv9Oi1C72hJFQwGeXpH9bRy306erlP3zt0Ieb5llrnGEvz1pTkBZNSJfkqzs2c4ncGAJipiJsw0+Rnp+vhVSV6eFWJpGAD8hdPevS8u1O/DCWgvAMjeu7IJT135JIkyWSS7pifH0pAFelNywu1cm4uy/AAIEXddIWT2WxWeXm50dByIrq6uuRyuTQ6Gr/KZLrjSt3sFAgEdL5nUK9f6NVrRjVUcGnexd74O+ZJUkleZrAKan5eKBEVTEgttmQTWAHADDPZ53jiJuKm2WZk1K+D53v0woluvXCySy+c7Ja788qYccU5GbpnaaEqSq3aFPooyc9KwowBAIky6UvqzGazrFbrDT3G4/HIZDIROGHG6OwbMpbmvXahR2+EluaNt2ueJOVnpWt1SVQSKpSQWlFEw3IAmK6mIuFE3ITZ7kLPoF442aVfn+jWiye7tfe0R4Nx+moutc7RplKrkYQqX2JhKR4AzCCTvqSupaVFbrdbRUVF+tCHPjThxz300EM3+5LAlCvOzdRbVhTrLSuKY27vHRzR4UvB5NPrF3v0RighdazzinoGR7T3tEd7T3tiHpOZZtbt83K1piR2ed6qeXnKzqBhOQDMZsRNSAXz87P0gXUL9YF1CyVJQyN+7T/r1cunPEZsdPhS8MLdKU+/vnXwnPHYVfNyY5JQGxZbNIf4CABmtFvepc7r9WrXrl0ymUxyOBxavnz5Ncd//OMf11e/+tVbecmk4UodrmdoxB9pWH6xV2+EE1IXe9U/HH/nPJNJshXlxF2ex9U+AJgaU3WOJ25CqvMNDKvtjFd7T3vUGvo40T22cjzdbNLa+fnauLhAGxdbtHGxRRsWWZSfzWYuAJBsk76kLp59+/aptbVVxcXFeuSRRxL1tNMGgRNuVryG5W+Elup19w+P+7iFBVnGbnlr5udpbSgRNT8/iz5RAJBAyTjHEzcBQZd6B40KqNbQ53h9NE0m6bbiXNmXBJNP9iUWbVxcoLm59IQCgKmUlIRTtG9961vq7u5WRUWFNmzYMBkvMeUInJBogUBAF3uHjN3yjJ3zLvTqrG9g3MdZ52SEluYFd8wLL89bXpgjs5lEFADcqGSf44mbgIhAIKAz3gG5zni1ryPyccYbPzYqtWYbVVAbF1tkX2xhExcAmERJTziFHT9+XE6nUyaTSVu2bJnRAQeBE6aSt3842KQ8lIQKf+3u7JN/nJ/a7HSzVpUEK6GiG5evnJurzHQalgPAeKbLOZ64CRjfpd5B7evwytXh1f4On/Z1eHX0cl/csXNzM2VfbNGGxRbdtahAdy0s0O3zctnABQASYNoknKTgVbuGhgbt3r1bVVVVeuaZZyb7JScFgROmg4HhUR293KfXQpVQwURUj45c6ou7E4wkpZlNKivOiWlYHk5K5WXRCwEAptM5nrgJmDjfwLBeOesLJaGCyajXLvRqNM7Vuex0s9YtyNediyJJqDsXFchKz0wAuCFJTzidOHFCdXV12rVrlzwej1asWKGamhpt375dFotlMl5y0hE4YTob9Qd0vOuKsTwvvHPe6xd71TM4Mu7jSq3ZsQ3LS/K1Zn6e5uXRDwFA6kj2OZ64CUic/uFRvXquR/vOBpfiHTjr04FzPvUNjcYdv6xwju5aVKA7FxYEE1GLLLIV0aYAAMaTlISTz+fTrl271NDQIJfLpUAgoKqqKtXU1Gjz5s2JepmkIXDCTBQIBHTWN6DXL4xdnnehZ3DcxxXnZGhNqApq7fx8o2n5EnoiAJiFknGOJ24Cpo7fH5C764peOevVK2d9xscpz9gd8iQpLytN6xcEK6DuCiWi1i8soDIcADTFCac9e/aooaFBzc3NCgQCstvtqqmp0bZt2271qacVAifMNl1XhkKJqKjleRd64m5PHFaQna618/N1x4J83RH1eWEBO+cBmLmm8hxP3ARMH91XhnTgXCgBdc6nA2d9evV8T9w2BSaTVFacayzFCy/LW1o4hxgIQEqZ9ISTz+dTY2OjGhoa1N7eLqvVqi1btqi2tlYrVqwY93Ff/vKX9elPf/pmXjLpCJyQKq4Mjejwpb4xy/OOXu7TyDgdywvnZOiOBflaOz9f6xZEElEl+SzNAzD9TfY5nriJuAkzx8ioX0cu9emVUCLqwFmvXjnn0zlf/Mpw65wM3bkw1BsqVA11x4J8zclIm+KZA8DUmPSEk9lslslkksPhUE1NjR555JEJPW7lypU6evTozbxk0hE4IdUNjfh19HKfXj3v06HzPXrtQo9ePd+jY5fH3zlvbm6m1oUSUdFVUcW5mVM7eQC4hsk+xxM3ETdh5rvUO2gsxQtXRb1+sUfDo2ODILNJun1enrEUL5yIWkxrAgCzwJQknKqqqmSz2YJPFPWLMxAIjPlFGggE5HK5tHv3bo2Oxm/YN90ROAHxDQyP6vClXr16vicmEXW864rG+w2zID8rmIC6ammehZ1iACTBVCSciJuA2WdoxK/XL/YYiaiDoUTUpb6huOOLcjJ0Z2hJXrhJ+R3z85VNNRSAGWTSE04VFRVqbW29oce43W5VVFSoq6vrZl4y6QicgBtzZWhEr1/s1aHzwQTUa+d7dOhCj05eo0fUEku2sTTvjgX5RnUUTToBTKbJPscTNxE3IXUEAgGd7xk0qqDCu+S9cbE3bmuCNLNJt8/NjVRDhfpDLSqgGgrA9DTRc/xN/wUXvkJ3o49xOBw3+5IAZpiczHSVL7GqfIk15vaegRG9diGYfDoUqoo6dKFHHd4BnQl9/OTwpZjHLCucE+oNVaD1C/O1fkGBVpfkKTPdPIXvCABuDnETkDpMJpMWFmRrYUG2Hl5VYtw+ODKq1y/0Gg3Kw9VQl/uGgjsJX+zVf+8/a4wvyskwGpSHq6HWUg0FYAZJyC51qYIrdcDk8vQPG8mn6ETUhZ74TTrTzSatmpen9QvztW5hgdYvyNf6hQVaxm4xAG4Q5/jE45gC1xcIBHTOF1UNFdop741LvRodpxpq1bxc3bXIovUL80O9oSzsFgxgSk3akrqnn35ajz766C1PcKqeN5EInIDk6OwbMpblHTzv06vnfDp4vke+gZG44/Oz0oNJqKhqqPUL81WYQ6NyAPFN1jmeuIm4CbgZA8Ojeu1Cjw6c69ErZ706GPrceWU47vjinIxIEmqRRXctKtCakjyqoQBMiklLOG3atEl79+695QlebSbswkLgBEwfgUBApz39OngunIQKfn7jYm/c3WIkabElW+sXhKqhQomoNfPzlJVOMAakusk6xxM3ETcBiRIIBHTWN6ADoSV54d5Qhy/1jVsNtTp6p7xQb6gF+VRDAbg1k9bDKRAI6Nvf/vYtTS7ec7KyD8CNMJlMWlqYo6WFOXr32vnG7UMjfh251KuD53t08FwkEXWyu18d3gF1eAf0bFR/qHCjzvULC7RuYb7uXFig9QuCy/LMZoIxALeGuAlAophMJi22zNFiyxy9c00k9glXQxm9oUKfu64MB9sUXOiR9nUY4+fmZkaSUKFEFBfgAEyGG65w+ta3viW3253wiVitVm3bti3hz5tIXKkDZi7fwHBwSd45nw6e69Gr54Ofu/vjl6bnZaVp3YICrQv1hQr3hyrOZVkeMBtN1jmeuIm4CUiGQCCgDu+A0Rsq3KD88KVexSmGUrrZpNUlsdVQdy6kGgpAfJO2pC6VETgBs0u4NP3guR4dOBfpDfX6hV4NjfrjPmZhQZbuXBjZLeauRRatmper9DR2ywNmMs7xiccxBaaf/uhqqKhE1HgX4OZFV0OFluStKclnl2AgxZFwmgQETkBqGB716+ilPh08H1sNdbzrStzxWelm3TE/uBzvzkWRgKyIJuXAjME5PvE4psDMEAgEdMY7tjfUkWtUQ62ZnxdzAe7OhQVaUJA99ZMHkBQknCYBgROQ2noGRnToQnCXmPBVwQPnetQzGH+3vCWW7DFXBVfOzVMavaGAaYdzfOJxTIGZ7crQiF670DumN5RnnGqokryrqqEWWrS6JI9qKGAWIuE0CQicAFzN7w/oRPcVozT9wLngh7szfjXUnAyz1i2IDsaCVVHWORlTPHMA0TjHJx7HFJh9wrsEHzgXvAB3MPT5yOU+xfurMiPNpDUl+WN6Q83Pz5r6yQNIGBJOk4DACcBE+QaGQ0GYT6+c8+rA2eCyvCvDo3HHLyucE1mSFwrIyopz2SkPmCKc4xOPYwqkjitDIzp0vlevnPPG9IbyDsSvAp+fn6W7FsZWga+aRzUUMFOQcJoEBE4AboXfH1B7Z59Rmh7ukXCyuz/u+NzMtOAOeQvzdddCi3FVMD87fYpnDsx+nOMTj2MKpLZAIKBT3f3BnfKi4p6j16iGWhvuiRlVDVVCNRQw7ZBwmgQETgAmg6d/2GjU+cpZnw6c9erV8z0aGIm/U56tOEcbQjvkbVxs0YZFBVpsyWbbYuAWcI5PPI4pgHj6BsM9MaN2yjvnk2+caqgF+VljluStLslTBjsEA0lDwmkSEDgBmCojo34dC1dDnfUZCakO70Dc8XNzM7VxcWwS6vZ5NCgHJopzfOJxTAFMVCAQ0MlwNVTUkrxjnfGroTLTzFob3ilvUYE2LLJow2J2CAamCgmnSUDgBCDZOvuG9MpZn/af9Wp/h1f7z/r0+sVejcbZt3hOhll3LizQhlACauNii9YtyFdOJkvygKtxjk88jimAW9U7OKJD53uMKvCDoc1ZxquGWmqdow3GBbhgImpZ4RyqwIEES1rCac+ePWpoaJDb7ZbNZtNDDz2k6urqWRFoEDgBmI76h0d16HyP9oUSUPs7gg074zUoN5uk1SV5od4ibL4AACYeSURBVCuBkURUcS5XBJHaknWOJ24CgBsTCAR0oitSDXXgXDD+GW+HYOucDG1YFLkAt2GRRWvmsyQPuBVJSTg99dRTqq2tlcPhkMfjUWtrqzwejwoLC1VfX6+PfexjiXqppCBwAjBTjPoDOna5LyYJta/Dq0t9Q3HHl1qzxyShuCKIVJKMczxxEwAkjrd/OKoKPPj50IUeDY+O/XM3M82sdQvyI0moxQW6a6GFjVmACZroOT6hP1FtbW3q6uqKue348eNqaWnR448/rvb2dn3hC19I5EsCAOJIM5u0qiRPq0ry9BsbF0sKXhE85xvU/rPB5NMrZ33a1+FVe+cVnfYM6LRnQN9/7YLxHOErgneFElBcEQQSi7gJABLHMidDby0r1lvLio3bhkb8eu1Cj/aHYp5XzgYvxPkGRuTq8MrV4Y15jtvm5mrjogLdtdiijaGqqAX5WVyAA25SQiucnn76aT366KNx7/N4PNq+fbt+4zd+Q4888kiiXnJKcaUOwGzkGxg2kk/haqiJXBHcuLhA5UusunMhfaEw8yXjHE/cBABTz+8P6ET3lUgSqsOnfWe9427MUpKXqY2LLTF9oW6bm8vGLEhpSalwOnbsmHw+X9wXtFqt2rVrlx577LEZGzgBwGxUkJ2h+23Fut92c1cEzSZpTUm+7EsswY9QNRRl6cC1ETcBwNQzm02yFefKVpyrR9YvNG6/1DtoXIALfz58qVcXe4f0k8OX9JPDl4yxuZlpunNhbBX4uoX5mpORloy3BExbCf1rYOfOndq8ebOefvpp3XXXXXHH2Gy2RL4kAGASZKabg30NFlv00U2lkiJXBPd1eLWvI1gJ1dbh1YWeQR260KNDF3r0jbYzkiSTSVo5N1flS6zauDiYhNq4uECFbFcMGIibAGD6mJeXJcft8+S4fZ5x25WhEb161cYsB8751Dc0qhdOduuFk93G2DSzSavn5WlDqAoq/JmNWZDKEppwslgsamho0Nvf/nZt2rRJW7ZsmTU7rQBAqou+IvihOxdJivSFcnV45TrjlavDI9cZr854B3TkUp+OXOrTf+3rMJ7DVpwTSj5FqqHm5WUl6y0BSUXcBADTW05muu5eWqi7lxYat436AzpyqddIQAV7Y/p0uW/IuAD3TVck9mFjFqSyhPZwCvN4PKqtrVVTU5O8Xq9sNpvsdru8Xq+++tWvavny5Yl+ySlBLwIAmJiLPYPad9artjNe7TsTXIJ3vCv+dsWl1uxQEsqq8tCyvIUF2VM8Y6S6ZJ7jiZsAYGYLBAI66xswdscLf27vjB/7FM7J0MaoC3AbFxdo5dw8+kJhxpjoOX5SEk7RnE6n8eFyuWQymWSz2eRwOPTQQw9p8+bNMyYIIXACgJvXdWVI+0KVUPtCfaCOXOqLO3ZBfpbs4SqoUCVUqZWrgZg80+UcT9wEALOHt39YB875jJ6Y19qYJTczTRtCO+OFY6C18/PZHRjT0rRJOF0tXiDV0tKiBx98cCqncVMInAAgsXwDw9rf4ZOrw2sko16/2CN/nDPT3NzMYCVUKAFlX2yRrTiHJBQSYrqe44mbAGB2GRrx69CFnlArAq+xLK9/2D9mbGaaWesX5kf1w7TozkUFNCdH0k3bhFM0r9er1tZWVVRUyGKxJGsaE0bgBACTr29wRAfO+Yzd8FxnvDp0vkcjcbJQlux02RdbVF5qVcUSqypKLVpRRBIKN24mnOOJmwBgdhr1B3T4Yq9xAS784R0YGTM2zWzSmpK84K7AoUTUhsUFKsjOSMLMkapmRMJppiFwAoDkGBge1avneyLNyc94dOBcj4ZGx14NLJyTofIl4SSURRVLrFpKc05cB+f4xOOYAsDNCwQCOt51xaiECleCX+obijv+trm5MRuzbFxcoLm5bMyCyUHCaRIQOAHA9DE86tehUBKq9bRHbWe8euWsL24Sam5upiqWRCqhypdYtNiSTRIKBs7xiccxBYDECjcnD/bD9Glfh0euDq9Oewbijg9vzBLdF2pRAfEPbh0Jp0lA4AQA09vQiF+vnvep9UwwCeU649WBc764y/Hm52cFk1BLrKoIVUMtYHe8lMU5PvE4pgAwNS73DWpfhy9mY5Zjl+NvzDIvNzNUARXpC0VPTNwoEk6TgMAJAGaegeFRHTzXo9YzHrWe8ajtdHCHmNE4SajFluwxlVDz8ihHTwWc4xOPYwoAyRO9Mcv+UBLqtQvxN2axZKdrYyj5FE5ErSrJU5qZJBTiI+E0CQicAGB2uDI0olfO+tR2xqu2Mx61nh5/d7yl1jmqKI1UQpUvsagoJ3PqJ41JxTk+8TimADC9XBka0cFzPUYV1L4Orw6O0xMzJyNNdy4q0MbFlmBvzCUWrZ2fr4w0cxJmjumGhNMkIHACgNmrd3BE+8961Xo6mIRqO+PV4Uu9ineWtBXnGBVQFaVW2RdbZJnD7jAzGef4xOOYAsD0NzTi1+sXe2Kak79y1qe+odExY7PSzbprYYHsoZYE5UssumMBSahURMJpEhA4AUBq8Q0Ma19HJAnVemb8nggr5+YGe0GVWnR3aaE2Li5QTmb6FM8YN4tzfOJxTAFgZhr1B3T0cq+RhAp/9g2MjBmblW7WnUYSKpiIumN+vjLTSULNZiScJgGBEwCg+8pQaGc8r1yhJNTxritjxqWZTbpjfr42LbVqU6lVd5dauQo4jXGOTzyOKQDMHn5/QO2dfaF2BMEYyNXhlTdOEiozzaw7F+bLHqqCKl9i0boFBSShZhESTpOAwAkAEE9n35Dazni097RHrac9evm0R+d8g2PGZaebZQ8tw7u7NJiIum1uLjvDTAOc4xOPYwoAs5vfH5C764rRisAV6o05XhJq/cL8mOV460lCzVgknG5STU2NGhoa4t5H4AQAmKgOb7/2nvbo5VPBJNTe0/EDsMI5GaootWhTaWGwEmqpVQsLspMw49TGOf7mEDcBAKIFAgG5O68YG7O4OoIVUZ7+4TFjM9JMWr8gdjne+oX5ykpPS8LMcSMmeo6nuUSU+vp6tba2JnsaAIBZYLFljhZb5ugD6xZKCl4FPNbZp5dPBZNPe097tK/Dq+7+YbUcuayWI5ejHputTaEKqE2lwd3xrDQlxzRD3AQAuJrJZFLZ3FyVzc3Vlg2LJAWTUMe7rsQsx2s7E4yBXKEd855+Kfj4jDST1i0ILcdbHExC3bmIJNRMRcIpxO12y2q1JnsaAIBZymw26fZ5ebp9Xp5+q3yJJGl41K+D53zBSqjQcrxD53vU4R1Qh/e8vvPqeePxt8/L1d2h5NPdSwu1YVGBsjMIvpAcxE0AgIkymUyyFefKVpyr6rsiSagTXf3B5XgdkSRU15Vh7evwaV+HT18LPT7dHJWEClVD3bmQOGgmmPFL6jwej1pbW1VbW6umpibZbLYxY5qbm43AqL29XVu3bpXdbo8Z09jYKIfDoerqarW1tcV9LUrDAQCTrXdwRPs6vMGleGeCS/LiNSVPN5t058KCUAIqWAm1dn6+0sz0g7oZqXKOJ24CAExXgUBAJ7v7x/SE6rwydjleutmkOxaEekItDiai7lxUoDkkoaZESiypc7lccjqdstvtcrlcccc4nU41NDSopaXFuK28vFy7d+82rsw5nU5t2bJFXV1dUzFtAADGlZeVrvttxbrfVmzcdrlvUHtPebT3tFd7T3dr72mPLvYOGWXojS+elCTlZqbJvthi7Iy3qdSqFUU5NCWHJOImAMD0ZjKZtLwoR8uLcvShOyOVUKe6+9XWEeoJFVqWd7lvSK+c9emVsz79i05LiuwQbF9iUcUSqypKqYRKthmdcLLb7bLb7fJ4POOOqa2t1c6dO2Nuczgcamxs1I4dOyQFr/ZZrVYCJwDAtDQ3N0vvXDNf71wzX1Iw+Drt6Y/pB9V6xqPewVH94niXfnE8cj4rzsnQ3UsLdfdSq+4JfS7KyUzWW0ESETcBAGYak8mkZUU5WlaUo0fWB/tiBgIBnfEOjKmEutg7pAPnfDpwzqd/3RtMQoUbk5eXhpNQVq1bkK+MNHbHmwozOuE0ES6Xa0wZeFlZmRoaGrRjxw7V19fLarUa5eMej0fNzc2qqqpK0owBALg2k8mkpYU5WlqYo6pQL4RRf0CHL/bG9IPaf9arzivD+vEbF/XjNy4aj799Xq7uWRrcFe+epYW6axHbEiOIuAkAMN2ZTCaVWueo1BrZnCUQCKjDO2Dsjtd2xqu9pz263BepCH9KpyRJWelm3RVqS1BRalXFEovW0JZgUszqhFO4XLyoqCjm9qKiIrndbkkyrtaFxz/zzDMETQCAGSfNbNLaBflauyBfv7upVJI0ODKqV8769NIpj14+1a2XTnl07HKfjlwKfnyj7YykYOC1cbFF94SqoO5ZWqjlRXNYipdiiJsAADOVyWTSEuscLbHO0fvXLZAUqQhvDSWf2k571HrGK0//sF4OXaALy8lI08bF0Ukoq1bOzZWZJNQtmdUJp2uVel9dTu52u9XQ0CC3263GxkZt37593Mf6fL6Y77OyspSVlXVLcwUAINGy0tNCy+kKJa2QJHX2DRnJp/Dn7v5hvXiyWy+e7JZ0XJI0LzczuARvmdWohrLOyUjem0mwwcFBDQ4OGt9ffW5PRcRNAIDZJLoiPHo5nrvzilrPeEJJKK/aOoJtCX51olu/OtFtPD4/Kz20K16wL2ZFqSVle2PebNw043epk4JBUGFhodrb22N2W3G5XCovLx9ze3Nzs6qrq3Wjbz3cif1qn/3sZ/XEE0/c9PwBAEiWQCCgY5f79NIpj1461a2XTwWX4g2Pjj1HrpqXq3uXBRNY9yy1av3CghnbA+GJJ57Q5z73uTG3p8KOasRNAABE+P0BHbncq9bToUqoMx7t6/Cqf9g/ZmzhnAxVlAaTUBWhDVqWWLJnfRLqZuOmWV3hFN5N5Wq32uTy9OnTMQeVq3QAgJnKZDJp5bw8rZyXp98qXyJJGhge1f6zPiMB9dKpbrk7r+jwpT4dvtSnf2sNLsXLTjerfIkllIAKJqGWFs6MpXg7d+7UJz/5SeN7n8+n0tLSJM4o+YibAACpyGw2aXVJvlaX5Bux0MioX69f7FVraHOWtjNevXLWp+7+YbUcuayWI5eNx5fkZapiiVXloX5Qm0qtWlCQnay3MyluNm6a1QmncA+Cq8vAPR7PmIaYN6KgoGDWX/0EAKSu7Iw03busUPcuKzRuu9Q7aCSfwp+9AyNjys/n52fpnqVWowpqU6lVBdnTbykey7rGIm4CACAoPc2s9QsLtH5hgX7v7qWSpKERv14974vpCXXwfI8u9g7pR29c1I+iNmhZbMlWxRJLKAkVXI43N3fmxh03GzfN6oST1WqVw+GQ2+2OCZTa29vlcDiSODMAAGaWeXlZevfa+Xr32vmSIuXnL52MJKEOnPPpQs+gvnfogr536IIkyWSS1pTkGQmoe5YWat2CfKXP0KV4sxlxEwAA48tMN8u+xCr7Equ237tMktQ/PKoDZ33GUrzW0169frFHHd4BdXgH9N1QPCRJywvnqKLUGlqOF1yWN5v6Y8Yzq3s4SZLT6VRdXZ1aWlqM28rLy7V79+5xS8fHE+5FkAr9HQAAuFH9w6NynfHGVEGd7O4fMy4nI81Yinff8kLdu7RQiyzJLT1PpXM8cRMAAJOnd3BE+896jabkrWc8OnKpL+7YlXNzQ0koiyqWWLVxsUX52dO/Lmii5/gZnXCK3iGlublZDodDdrtdNTU1Y5pddnV1qaioSHv37tXWrVtvqjScwAkAgBtzoWdQL53qNpJQe0975BsYGTNuqXWOsYzv3mWF2ri4QFnpaVM2z1Q4xxM3AQCQHN7+Ybk6IkvxWs94dbzryphxJpO0el6eNpUGe0JtKrVqw6ICZWdMXUw0ESmRcJpqBE4AANwavz+gNy726qVT3XrxVLdeOunRq+d98l8VjWSmmWVfYtE9S626b1mR7l1mVal18hqSc45PPI4pAADj6+wbCi7DO+NV62mPWk97dMY7MGZcutmk9QvzVVFq1d2lhdpUatXa+XlJbU9AwmkSEDgBAJB4PQMj2nvaoxdPdevFE8FE1OW+oTHjFhVk695lwT5Q9y0vVPkSq+Yk6Iof5/jE45gCAHBjzvsG1BZqSh7eIe9SnJgoJyNNGxcXBJNQS4NJqLLinCnbKZiE0yQgcAIAYPIFAgG1d17Riye7jY9Xzvk0elUZVLrZpA2LCnTPskLdF1qKt6Lo5oItzvGJxzEFAODWBAIBneru195Q8inYnNyrnsGx7QkK52SootSiTaEqqE2l1knrkUnCaRIQOAEAkBxXhkbUetobWobXrRdOdut8z+CYcSV5mbp3WWGwCmpZoSpKrcrLun7zTc7xiccxBQAg8fz+gA5f6o0koU55tP+sT0Oj/jFjFxVka1OpRZtCVVAVSywqzMm85TmQcJoEBE4AAEwP4St+L5zsNpJQrg6vhkdjwxqzSVq/sCDYjDy0FG/l3NwxVVCc4xOPYwoAwNQYGvHr4Hmf9p7yaO+ZYBLqtQs9Y3pkStJtc3ONCqhNpVZtXFygnMwb2xmPhNMkIHACAGD6Ghge1b4Ob0wvqNOesc03i3IydM/SyI54d5daZRru5xyfYMRNAAAkT+/giPZ1RPpBvXzaI3fn2J3x0swm3TE/2JR8U6lFdy8t1LoF+cq4RlNyEk6TgMAJAICZpcPbH+oD5dGLJ7vUdsargZHYknOTSVpVYNbrf/kezvEJRNwEAMD00tk3pNYznkgS6pQnbouC7HSzNiy2hHbGC1ZCrZybK7M5WCE+0XP8jdVNAQAAzCCLLXP0oTvn6EN3LpIULDl/5awvphfU8a4rev1ib5JnCgAAMLmKczP18KoSPbyqRFKwRUGHd8DoBxXeGc87MGJs3BJmyU5X+RKrKkqtWlc0sV2CqXC6AVypAwBg9rnQM6g9h07pw/fdzjk+gYibAACYefz+gI519sUkoVxXVYgHBq9IX/kNKpwAAACuZX5+lt69dn6ypwEAAJB0ZrNJt8/L0+3z8vQR+xJJ0vCoX4fO9xhJqJeOdujABJ6LhBMAAAAAAADiykgL9nTasNiibfcuk8+3QpY/u/7jxm87DgAAAAAAANwEEk4AAAAAAABIKBJOAAAAAAAASCgSTgAAAAAAAEgoEk4AAAAAAABIKBJOAAAAAAAASCgSTgAAAAAAAEgoEk4AAAAAAABIKBJOAAAAAAAASCgSTgAAAAAAAEgoEk4AAAAAAABIKBJOAAAAAAAASCgSTgAAAAAAAEgoEk4AAAAAAABIKBJOAAAAAAAASCgSTgAAAAAAAEgoEk4AAAAAAABIKBJOAAAAAAAASCgSTgAAAAAAAEgoEk4AAAAAAABIKBJOAAAAAAAASCgSTgAAAAAAAEgoEk4AAAAAAABIKBJOAAAAAAAASCgSTgAAAAAAAEgoEk4AAAAAAABIKBJOAAAAAAAASCgSTgAAAAAAAEgoEk4AAAAAAABIKBJOAAAAAAAASCgSTgAAAAAAAEgoEk4AAAAAAABIKBJOAAAAAAAASCgSTgAAAAAAAEgoEk4AAAAAAABIKBJOAAAAAAAASCgSTgAAAAAAAEgoEk4AAAAAAABIKBJOAAAAAAAASCgSTgAAAAAAAEgoEk4AAAAAAABIKBJOAAAAAAAASCgSTgAAAAAAAEgoEk4AAAAAAABIKBJOAAAAAAAASCgSTgAAAAAAAEgoEk4AAAAAAABIKBJOAAAAAAAASCgSTgAAAAAAAEgoEk4AAAAAAABIqPRkT2A6cDqdcrvdam9vlyTV1dUleUYAAADTE3ETAACYiJSvcPJ4PHK73dq+fbvq6urkcrlUX1+f7GkBAABMO8RNAABgolI+4dTa2qqGhgbj+8rKSrW0tCRxRgAAANMTcRMAAJioGZ9w8ng8cjqdKi8vl9vtjjumublZ9fX1amxsVG1trVwul3Gfw+FQU1NTzHir1Rr3eQYHB2M+p7LBwUE98cQTHIsQjkcExyKCYxHBsYjF8YjgWEwt4qbk4P95LI5HBMcigmMRi+MRwbGImGnHwhQIBALJnsTNcrlccjqdstvtqqysVHt7u2w2W8wYp9Opurq6mKtv5eXl2r17d9wAqaysTC0tLWOeR5LOnDmj0tJSnT59WkuWLEn4+5lJfD6fLBaLvF6vCgoKkj2dpON4RHAsIjgWERyLWByPiOlyLKbLPCYTcVPypML/rxvB8YjgWERwLGJxPCI4FhHT5VhMdB4zusLJbrdrx44dqqioGHdMbW2tampqYm5zOBxqbGwcM7ampkYNDQ1xgyYAAICZjLgJAABMpRmdcJoIl8slu90ec1tZWZmeeeaZmNsaGxtVXV0th8Mhj8czhTMEAACYHoibAABAoqQnewKTKdxzoKioKOb2oqKimL4FTqdTFRUVRoC1a9cubd++fczzhVcfnjt3Lub2rKwsZWVlJXTu053P54v5nOo4HhEciwiORQTHIhbHIyJZx2JwcDCm/0FPT4+kyLk+FRE3TR5+5mNxPCI4FhEci1gcjwiORcRMi5tmdcKpq6tr3PvCV+PcbrcqKytj7tuxY0fcxwwPD0uS7r777sRMcBYoLS1N9hSmFY5HBMcigmMRwbGIxfGImC7HoqenRxaLJdnTSAripsk3Xf6fTxccjwiORQTHIhbHI4JjETFdjsX14qZZnXAKX6Hr6uoadwcVm8024auZy5cvV3t7uzIyMmQymYzbU/FKHQAAM9nVV+oCgYCGh4e1aNGiJM4quYibAABAPDcbN83qhNN4wdK1ruBdi9lspjEmAACYlYibAABAIs3qpuHhK3VXN7P0eDxjGmICAACkMuImAACQSLM64WS1WuVwOGIaXUpSe3u7HA5HkmYFAAAw/RA3AQCARJrVCSdJqq2tVUNDQ8xtra2t2rlzZ5JmBAAAMD0RNwEAgEQxBWbw/r9ut1sNDQ1yu91qbm6Ww+GQ3W5XTU1NTM+A5uZmdXV1qaioSHv37tXWrVsnXBru8XjU2tqq2tpaNTU10YtAUn19vTo7O+XxeOR2u1VbW5uyVz4bGxslBf+f7N27V5WVlXG3hk41TqdTbrc7ZY+Fy+XStm3b5HA4VFZWJo/Ho5aWFrW0tCR7aknT2Ngoj8cjq9Uqj8ej7du3j9svZraqra1VcXFx3POPzWZLyfNLc3Oz9u7dq+LiYnV2dqqysjJlzydTYSriJonY6WrETRHETeNL5diJuGks4qYgYqdYMzJuCmBcbW1tgbq6ukBLS0tAUqC9vT3ZU0q6HTt2BLq7u43v29raApICLS0tyZtUkuzYsSPQ0NBgfN/d3Z2yxyJad3d3wGq1Burq6pI9laRpa2sL2Gy2gKSA1WoNbN++PebnJtVUVVXF/Fw4HI7Ajh07kjij5HA4HAFJcT9S8fdGU1PTmPe9ffv2QFtbW5JmhEQgdopF3BRB3DS+VI+diJtiETdFEDtFzNS4adYvqbsVdrtdO3bsUEVFRbKnMm00NzfH9Haw2+1yOByqq6tL4qySI3z1JSx81cHlciVpRtPDrl27+JmR1NDQoEAgoO7ubjU0NKTkVSkp+DvD4/HEXH2pra1VTU1NEmeVHHa7XYFAIOYj/P9j2l+dmgQNDQ1jflfU1NTI6XQmaUZIBGKnWMRNEcRN4yN2Im4KI26KRewUMVPjJhJOuCFdXV1jmolardYxt6WChoYGNTU1Gd+Hj0Eq7+TjdDpTPmBCrNraWlVXV8fc5nA4Uq4EWpIqKyvH3Pbkk0+m5PIJKXjuqK2tjbmttbU1pX+HYvYhboogboqP2AnRiJtiETtFzNS4KT3ZE8DM0t3dPeY2l8s17f+jT4WGhgZVVVWlXLY9mtvtTun3H83lcsntdt90D5TZInwMwn072tvbZ8Z680lw9XtubGxM6UbMO3fuVHl5uZxOp5qamuR2u8dc1QVmOuKm8RE3BRE7BRE3BRE3xSJ2ipipcRMJJ9yS8Mkh1Zv6tbW1SVLMlbtU09jYmJJXG+KxWq2yWq3G8XA4HFqxYoWOHz+eUiXi4WUSe/fujVk+UlZWpqa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MlIgYKf1SreQWrV0V+5in0jbVfhetpTOZeljR2mpj2ya7fCp9my2LKZ6a6us709g6Gj+NrcUVrRk1UWH4VHFeNlocjzKF6I6SjNPpTNhRXC7XtA/481m06OxY430AT3SAjZVqRZeomRatczqd5jKYyVZGSfbYogeGWC0tLeZKK2ONV3QvVnSfGm/VB6fTmfBB1tLSknLfin5wzfXKK+HwaDCc6vVLVviwq6sr7HA4EoKkZCuzTOe1m+6Sv1O9zlyJvr6pgspAIGAuhVxbWxuura0NV1dXm8/n2IBlss9PdIWzVPeX7AA6nZXQ7Hb7lJ/76JeXse+J2traRZPwSNfrM9H+MNH+F5VqGXcsPostdiJGiiBGSkSMNDsCgUDY7XbHPebovjM28TiVtl1dXQmXtbe3p1wdMNVzGX1NYiWLx6bSt8kgnhrfVF7fdMXWyZ5Hp9M5qc+jVHFeNrKEw2meqLyABINBlZWVJczVNgxDxcXF6urqihtmGJ1jmU1D36qqqsz6AQ6HQzU1NeawQsMwdODAAbOgpRR5DoLBoDms0u12TzjvNTq8PtXQRJ/Pp5aWlmk/rzU1NWYdhcbGRnPebCgUGrdvDQ0NOnr0qDnE0ul0qqWlRc3NzXI4HKqrq5PD4dDBgwfl9Xon/XgrKysnrHUSLRRYWloqKTIsc7yhtWVlZWppaZmz4bfR1z4YDJpDut1ut0pKShQKhWQYhtra2sznOtnHSOxjDAQCKi8vT9gHpvPapZoTn0y0iHJ0H3e73aqpqZHL5ZrK0zErPB6P+fwGg0GzAGpJSUnce2Gioojt7e1x+8VEz09TU5NaW1vNfdrpdKqioiLuPoPBYELdiLKysmnVDykvLzfn1E+2/k+0boXP51Nra+u4+1C2Sffrk2p/mOz+F6u4uFjV1dUpa4pgcVhMsRMxEjFSMsRIs88wDHk8HrOwdTAYVE1NTdKpSdNtG42t6urqku474z2XDQ0N6uzsNF+/VLXHptK3iRBPTWyyr286Y+to3BZ9/+/fv3/c13cycV62WTAJp9gdaLxgN/qGKisrMz+YUx34UgVNfr9f5eXlCZd7PB75/f4Zr2IATNV4hSOB+S4akGe6XgGw2BA7YTEgRsJiQTyFhWjeFw2PnoXds2ePfD7fuFl3r9erw4cPx51t8vl8qqysnFKgM15RxJkUTASmwzCMaRcLBeaDtra2uOW+AcwuYicsFsRIWEyIp7AQWTPdgYnU19erpaVFtbW141bRjw5vPXToUNzl0WVIY1dNmaxUSx0Cs8nv95tDrSWpubmZgwsWtOhKKADmBrETshUxEhYz4iksRPM+4TRZ0Tnlyd6E+/fvn9K8yJKSkqSXG4aRchuQLocPHzbn9Ub3OQ4uWKj48gnMX8ROWGiIkbBYEU9hoZr3U+omq6WlJWVA43A45Pf7J50VjhZiC4VCce1DoRBzZjHr6urqJEUKEkqp62gAC0FTUxP7MDBPETthoSFGwmJFPIWFKmsSTuPNaY0GQcFgcFJBj91ul9PpVDAYjFsFILqyADCbJiruCiwkBEfA/EXshIWGGAmLFfEUFqqsmVI3mTNwY5c/HG9oYl1dXVwBzWjb+bBUKAAAwEwROwEAgNmUNSOcxhMNpqKrpASDQXm9XnP1laqqKu3Zs0fV1dVmW7fbbRbMLCkp0dGjR3XkyJFMdB8AAGBOETsBAICZWhQJp7EcDodqa2snHJpYXV1t/u12uyd128PDwzp58qTy8vJksVjMy/Pz85Wfnz+9DgMAgLTq7+9Xf3+/+X84HNbAwIC2bt0qqzVrBoCnzWzFTsRNAADMf9ONmxZFwik6pHsuVkk5f/68ysrKZv1+AABA+p05c0YbN27MdDcybq5iJ+ImAAAWronipkWRcJpLhYWFkqR3333X/FtafGfqenp6tGnTJp05c0ZFRUWZ7g4yjP0BY7FPIFYm9oexZ+p6e3u1c+fOuGM3Zh9x0yg+FxGL/QGx2B8QayHFTVmTcHI4HAmFLaOi9QdiV02ZLdHh4Bs2bODDQFJRURHPA0zsDxiLfQKxMrk/9PT0SFLctK5sNx9iJ+KmRHwuIhb7A2KxPyDWQoibsqZIgdPpTLlySjSYmsyyvgAAAIsBsRMAAJhNWZNwqqysTHmWLhAIsCQvAABADGInAAAwm7Im4bRv3z6FQqGkgZPX61VNTU0GerV45efn62tf+9qiq7+A5NgfMBb7BGKxP2QGsdP8wvsAsdgfEIv9AbEW0v5gCYfD4Ux3YrLKysrkdDrV0tKSdLvX69Xhw4fjtnu9XjU2Nqq1tXVO+tjT0yObzabu7m7m1wIAsEBk6/F7vsdO2fq8AwCQzSZ7/J73RcMbGhp09OhRBYNB86eyslJ2u1379++X2+0227rdbtntdnk8HpWVlZl1CeYq2QQAAJBpxE4AAGA+WFAjnBYCztQBALDwcPzODJ53AAAWnskev7OmhhMAAAAAAADmBxJOAAAAAAAASCsSTgAAAAAAAEgrEk4AAAAAAABIKxJOAAAAAAAASCsSTgAAAAAAAEgrEk4AAAAAAABIKxJOAAAAAAAASCsSTgAAAAAAAEgrEk4AAKSRYRiqqalRWVmZLBaLGhoaxm3v9/tlsVhUXFysmpoa+f1+NTU1qbKyUhaLRWVlZaqpqTHbe71eVVVVxV0nVlNTk8rKylRcXKyqqqoJ++rxeMy+VlZWyuPxxLWJ3V5VVaVgMJjwGKPX83g8qqmpUVVVlWpqamQYxriPu6amRh6PRw0NDeb1x7sOAADILsRNWR43hZFW3d3dYUnh7u7uTHcFAJBBLS0tYbfbHXY4HOO2a2xsDDscjnB1dXXCNklht9ud9HoOhyPscrmSbmttbQ3X19dPuq+NjY1hSeH29vak2wOBQNL+tbS0hCWFu7q6ErZVV1eH7XZ70m21tbVht9udsK29vT3sdDrDra2tk+57unD8zgyedwBAOEzclK1xEyOcAACYJTU1NQoGg/L7/SnblJSUpNzmdrvl8/mSbnM6nfL5fEnPbAWDQdXW1k65v3a7PenlDodDZWVlU7qt+vp680xgrIaGBnm9XrW0tCTcn9PpVH19vSorKxUMBqd0fwAAYGEjbsq+uImEEwAAs8ThcMjlcungwYNJt3u9Xrnd7pTXjw6vThU8SVJzc3PCZfNheHU0KAqFQuZlwWBQHo9H9fX1Ka/ncrnkdrsnHNYOAACyC3FT9sVNuZnuAABgcQmHw7p+ayjT3ZjQ8iU5slgsM76d6Nz8ZGKDimRcLpfsdrsaGxvlcrnMy/1+v+rq6uT3+9XS0qLq6mpzWzAYlNPpnHG/Z8rr9UpSXK2EaMA0XrAoSfv371dVVZV8Pp/5uL1er0KhkEpKShQKhdTe3q6qqqq45wUAgGxD3DSKuCm5+Rw3kXACAMyp67eGVPhbP8h0NybU+7uf0Ir8mR8m3W637Ha7mpqaEgKcioqKCa+/b98+NTU1xV3m8/lUW1srt9uthoYGGYZhnhnz+Xxx9zPXDMNQc3Oz6uvr1dLSEhfYtLW1pRx+HsvhcEiSWltb5XK5FAwG1draqsbGRrPNREVFAQDIBsRNEcRNqc3nuIkpdQAAzLJ9+/bFHfSlSIAzmTNq0bN8scPDo8FH9CxY7PDwTAwLb2pqMn+am5sVCATkdrvNACgqGAyOW3thrOhj8fv9CbUJJjrbBwAAFibipohsiJsY4QQAmFPLl+So93c/keluTGj5kpy03VZNTY2ampoUDAbNYGKyAcTY4eF+v988w+dwOORwONTY2Kjq6uqMDQuvrq5OOAPn9/tVXl5u9k2SOax7ItE20dt0uVw6cOCAysrK5Ha7VVlZKZfLlRCYAQCQbYibiJsmMp/jJkY4AQDmlMVi0Yr83Hn/k446BFFOp9NcSURS3Bz7ydi3b585t3/sGT632y2/328WyZzO3PxoEJfOs3xOp1NutzuuFoHT6ZRhGBPeT3R1msrKSkmRAKqjo0Mul0ter1eVlZUqKyubF0U+AQCYTcRNxE0LOW4i4QQAwByoqakxh3DH1g6YjOjwcK/Xm3C9ZMPDpyoaiKVaUtfv90/rrFj0OtFAqK6uTtLEfT18+LC5Uk30+tGzlYFAQIFAQA6HI+UqNgAAYGEjbsqOuImEEwAAc2Dfvn0yDEMNDQ1TCpqk0eHhHo8noWBmdHh4fX39tIdKOxwOOZ1Otba2Jt1++PDhaZ0BjAZM0cDM6XSqtrZWHo8n5XW8Xq+5ikxUMBiMq8UQHQ4fvX0AAJBdiJuyI24i4QQAwCwIBoNxZ77sdrvcbnfCUr2TtW/fPklKWmugpqZGoVBoRkvdtrS0qLm5OS5AkSKFLffs2TPlYM/r9crn85nD4aPq6+tVXV2tysrKhKHdPp9PHo9Hra2tCY9z7O0Eg0Fz6DgAAFjYiJuyM26iaDgAAGlkGIY8Ho+am5tVUlIil8tlrrRSV1cXF5h4vV61trYqGAyqublZdrtd+/fvTxocVVVVpQxe3G63AoHAjPrtcDjU0dFhBi5R0UKTYx/jwYMHzfoIBw4cMM8SGoZhBozR5XnHqq+vl9/v18GDB1VaWmpe3tnZqfb29qSPs6qqKu4sp2EYqq2tndFjBgAAmUXclN1xkyUcDofn/F6zWE9Pj2w2m7q7u1VUVJTp7gAAgEng+J0ZPO8AACw8kz1+M6UOAAAAAAAAaUXCCQAAAAAAAGlFwgkAAAAAAABpRcIJAAAAAAAAaUXCCQAAAAAAAGlFwgkAAAAAAABpRcIJAAAAAAAAaUXCCQAAAAAAAGlFwgkAAAAAAABpRcIJAAAAAAAAaUXCCQAAAAAAAGlFwgkAAAAAAABpRcIJAAAAAAAAaUXCCQCANDIMQzU1NSorK5PFYlFDQ8O47f1+vywWi4qLi1VTUyO/36+mpiZVVlbKYrGorKxMNTU1Znuv16uqqqq468RqampSWVmZiouLVVVVNaW+VlZWqqamRh6PRzU1Neb/hmGk/TECAAAQN03uMS5YYaRVd3d3WFK4u7s7010BAGRQS0tL2O12hx0Ox7jtGhsbww6HI1xdXZ2wTVLY7XYnvZ7D4Qi7XK6k21pbW8P19fWT7mtjY2NYUjgQCKTsX3t7e8K2dDzG+YLjd2bwvAMAwmHipmS3kQ1xEyOcAACYJTU1NQoGg+OemSopKUm5ze12y+fzJd3mdDrl8/kSzqJJUjAYVG1t7aT7OV4fqqur5fF4tHfv3qTbZ/oYAQAAJOKmydz+QkPCCQCAWeJwOORyuXTw4MGk271er9xud8rrR4dlpwqeJKm5uTnhsmTB1ExUV1erpKREHo8nYdtMHyMAAIBE3CRlX9xEwgkAkBHX+gdT/twcGJp02xszaHv9VvJ26VRTUyOv15t0WygUGve6LpdLdrtdjY2NcZf7/X7V1dXJ4XCopaUlblswGJTT6ZxZp1P0JVXNgZk8RgAAMDHiJuKmhSg30x0AACxOhb/1g5TbPnnHav3D5x8w/1/z9R/q+pigJ+pxR6l+9O8eMv/f9s0junrtVtK2FRtteu3XHzP/v+v3fqxTXTcS2g1/+ycm7P9kud1u2e12NTU1qbq62rw8GAyqoqJiwuvv27dPTU1NcZf5fD7V1tbK7XaroaFBhmHIbreb22LvJ13KysrMfjscjrhtM32MAABgfMRNxE0LESOcAACYZfv27Us42+bz+SZ1Ri26Ykrs8PBokBRdaSV2eHi6h4WPvc9gMJh0+0weIwAAQBRxU/ZghBMAICN6f/cTKbflWC1x/1/6+pMp21rHtO34avIijcnavvPljyocHq+X6VFTU6Ompqa4s1yTLQgZOzzc5XLJ7/ebZ78cDoccDocaGxtVXV09a8PCpdGAbOxZuqiZPEYAADA+4ibipoWIEU4AgIxYkZ+b8mdpXs6k2y6bQdvlS5K3Szen0ymn06n6+npJkTNYLpdr0tfft2+fOdd/7Nkvt9stv99vFsmcyu1ORSAQkJQ6cJrpYwQAAKkRNxE3LUQknAAAmAM1NTXmEO7Y2gGTER0e7vV6E66XbHj4bPD5fBOumjKTxwgAABBF3JQdSDgBADAH9u3bJ8Mw1NDQMOWAIjo83OPxJBSTjA4Pr6+vT3kWbaa8Xq+CwaAOHTo0bruZPEYAAIAo4qbsQMIJAIBZEAwG4wpF2u12ud1us6bAVO3bt0+SktYaqKmpUSgUmvZQ7PGW4PV6vfJ4PGpvb08IhtL9GAEAwOJE3JSdcRNFwwEASCPDMOTxeNTc3KySkhK5XC5zFZK6urq4VVO8Xq9aW1sVDAbV3Nwsu92u/fv3Jw2OqqqqUp79crvdZq2A6fQ12qeamhrzvqMBkcPhSAiaZusxAgCAxYW4KbvjJks4PBd15hePnp4e2Ww2dXd3q6ioKNPdAQAAk8DxOzN43gEAWHgme/xmSh0AAAAAAADSioQTAAAAAAAA0oqEEwAAAAAAANKKouHj8Hq9ZgX6QCCwoIt1AQAAzCbiJgAAEIuEUwpNTU1yuVxyOBzmZVVVVTp06FDKavcAAACLEXETAAAYiyl1KbS0tMQFTZJUWVmptra2DPUIAABgfiJuAgAAY5FwGofH44n7v729XRUVFRnqDQAAwPxF3AQAAGJl1ZQ6wzDk8Xhkt9tVX1+fsp3P51Nra6vKyspkGIYkqba2Nq5NfX29ysvL5fP51NLSIp/Pp8rKSoaFAwCArEDcBAAAZlNWJJw8Ho+CwaD27Nkjn88nl8uVsq3X69Xhw4fV0tJiXhYNilpbW83LnE6n2tvbVV5errKyMlVXV6uxsXFWHwcAAMBsI24CAABzISum1NXX16ulpUW1tbXjnkkzDEMHDhzQoUOH4i53uVwKhUJqamqKa9vY2Kj29nZVV1erqalJlZWVs/UQAAAA5gRxEwAAmAtZkXCarObmZjkcjqTB1f79++POxFVVVam+vl5Op9MMoNra2hLqEwAAAGQj4iYAADATiyrh1NLSopKSkqTbHA6H/H6/DMOQ3+9PCLCcTqdZkwAAACDbETcBAICZWFQJp7a2toQle6OilweDwZTDyysqKlJeHwAAIJsQNwEAgJlYVAknwzAmXC0lGAzK4XAoGAwqGAzGbWtqalJdXd0s9hAAAGB+IG4CAAAzkRWr1KVDNKAKhUKSIsPIDx48qNLSUklSZ2en9u/fL6fTOanb6+npifs/Pz9f+fn56eswAACYtv7+fvX395v/jz1uY3zETQAALB7TjZtIOKVgt9tVX18/7etv2rQp7v+vfe1r+vrXvz7DXgEAgHQ4ePCgvvGNb2S6G1mDuAkAgOw13biJhNMIwzAkKWVxzKk6c+aMioqKzP85SwcAwPxRV1enL37xi+b/PT09CUkPpEbcBADA4jHduImE0ywpKiqKC5wAAMD8wZSt+YW4CQCA+Wu6cdOiKhoeLWqZTLQGAaupAAAAEDcBAICZWVQJJ6fTaQ4BHysaUE22uCUAAEA2I24CAAAzsagSTpWVlSnP1AUCAblcrjnuEQAAwPxE3AQAAGZiUSWc9u3bp1AolDR48nq9qqmpyUCvAAAA5h/iJgAAMBNZl3AyDMOsKzCW3W7XoUOH5PF44i73er1yOBxyu91z0UUAAIB5gbgJAADMlqxYpa6hoUFHjx5VMBg0fyorK2W327V///64gMjtdstut8vj8aisrMysTdDa2pqh3gMAAMwd4iYAADAXLOFwOJzpTmSTnp4e2Ww2dXd3s7wvAAALBMfvzOB5BwBg4Zns8TvrptQBAAAAAAAgs0g4AQAAAAAAIK1IOAEAAAAAACCtSDgBAAAAAAAgrUg4AQAAAAAAIK1IOAEAAAAAACCtSDgBAAAAAAAgrUg4AQAAAAAAIK1yp3qF733vewqFQmnvSElJiZ566qm03y4AAECmEDcBAIDFasojnA4ePChJCofDaf3xeDxpf3AAAACZRNwEAAAWqymPcAqHw/r85z+f9o7U19en/TYBAAAyibgJAAAsVlMe4bR///7Z6Idqampm5XYBAAAyhbgJAAAsVpZwOBzOdCeySU9Pj2w2m7q7u1VUVJTp7gAAgEng+J0ZPO8AACw8kz1+s0odAAAAAAAA0mpSCaenn35aX/jCF/SjH/3IvOzjH/+4cnJytGPHDv3N3/zNrHUQAABgISFuAgAAmETR8N/7vd/TwYMH5XA41NTUpMbGRp04cUKBQEAHDhxQZ2enPve5z0mSPvOZz8x6hwEAAOYr4iYAAICICRNOgUBAoVDI/P9XfuVXVFxcrBMnTsS1+8IXvkDgBAAAFjXiJgAAgIgJp9SVl5fH/V9fX6+KioqEdg6HI329AgAAWICImwAAACImTDgZhqFjx47p29/+tiTJZrPJ5XJJkk6ePKmTJ09Kkjo7O2evlwAAAAsAcRMAAECEJRwOh8dr0N3drQMHDqijo0NHjx6N2/bkk0+qvb1d+/btU21trbZt2zarnV0IWN4XAICFJ13Hb+KmqSFuAgBg4Zns8XvChNN4uru71dbWpr179073JrIOgRMAAAvPXBy/iZsSETcBALDwTPb4PeGUuvHYbLaEoOnIkSPav3+/vve978VdfujQoYTLAAAAFgviJgAAsJjMKOE01jPPPKPW1la1t7fr8OHDcdsOHDigbdu26ZlnnknnXQIAACxIxE0AACCbpTXh1Nraqm9961s6ceJEQuAkSbt371YwGEznXQIAACxIxE0AACCbpTXhNBmGYcz1XQIAACxIxE0AAGChSmvCqaura8I2gUAgnXcJAACwIBE3AQCAbJabzhsrLy/XF77wBTU0NKiwsDBhe11dnex2ezrvEgBmza3BYQ2HwyM/ivtttVhkX5Zntr3U269bQ8MaHo5tG/k712pR2coVZtsTV6/pxsCQomuEhhU2/861WnT3utGVHj643Ke+W4OjbWOuY7VYVLHJbrZ971KvjBsDii49GttWkh7ZVmq2fedir65e649pE+8xR6lyrBazD5f7+mWxSBZZRn5LFotFFknlG23KzYmcvzgVuq4r124ltLFEbkp3ri7UktxI24s9NxW6PmBuG3v7W4qXm227rt+ScWPQ3Ga1WmS1SFaLRVaLRSXL85Q30of+wSENDIXjtlstUo7VIkv0zoB5gLgJAABks7QmnA4cOKCqqirZ7XZVVVVp27ZtKi0tVSAQkM/nkyQdP348nXcJYER4JLkxMDSsweGwcq0WLc3LkRT5An7WuKnB4bC5PfbvDbalcpRGEiJ9/YNq/fCKhobDGgpH2g1Ff8Jh7VxTqIe2lphtv/PyqdG2Q5Hf0f/LN9jkvm+9JOn6rUF98e/eNbcPj/Qh+v+DW4v1G4+VSZIGh4b1iadfjbvf2Nt+rKxU//2n7jYf+86GH6k/RXLoka0lavmlCrPt1v/qU+jGLQ0Pa0zbsB7YXKwX/8MjZlvHN4/ofM/NpM/3PesK9cZvftT8//E/eVEfXrmWtG1Z6XIdrxtdmWr/n7fp9XM9SduuLczX+a89af5/oOUNvdARStq2MD9X3b/7CfP/3/j+O/rhh1eStrVapMHf+wnz/9/+5/f1N29fTNpWkq4f/KRyrJH957/6PtRf+M+lbHv1v3xcJcuXSJK++cxxHXrldMq2p/6TS5vsyyRJDT8O6L8/l7o+zbu1H9UdqyNfwn//2aC+eST18ePorz+q8o12SdJ/ey6or/7T+ynb/vgLD+mxskjy7X++dFK1//CurBaLcuKSWJHff/FzTn1s+0pJUvOx8/qtH7w30i4+4ZVjlRo+vVN7d6ySJB05fkVf/5cPzNvNtcb//rVHHebtHjvXrf/xfIdycizKsSS2feqedfrIlmJJ0snQdf3l6+cSb9NiUW6ORR/ZXGwmLDuv3dKzwU7ljOlD9D62lizT5uLlkqSbA0M6cfWackf6kJdjVa519PeKJTnm5wnSh7gJAABks7QmnCSppaVFTU1N+spXvhJXd8DtduvQoUPpvjtg2sIjQzuiIx6u3xpU6PqABobCujU0bP4MDIV1a3BYd64p0KqCfEmRURwvngyZbQeGwhoYjvweHB7Wp+5co3tGvvS9c7FXf/raaQ0MRbeHNTiS6BkYGtbnHtisJ29fLUnynzX0m3/3rgaGhzU40jb698BwWJ6PbdfnHtgsSTp62lBl08tm0mhgKH6Myn/5V7frP7lukyS9f7lPu//guZTPRe3Htutbn7pTUmSkzme/25ay7b9/eKuZcOrtH1TtP7ybsu2/2bPJTDgNDUtNr5xK2dYaM/LEYrHoyPGrKdtutC2L+78jdF39g8NJ23bdGIj7v+/WoPr6h5K2HQ7HP4fWcQbDDI+5u/xcq/JzrQmjaqwWi4qWxn/UlixfotUFS8x9L3YE0OqRfSxqdcESbbQtHR0FNDICSJIKlsTf7rqifDlKlyva7ejoIknmaKWo9balumN1QUzbyG1Lo6OnotYU5mvHyhUxI6ciY6aiT1ds2+Jlkf7GjrKKHcGVE9N2xZIclS7PG7nPaNvR92Zs2yU5Vi3PyzFvK6zEEWdRw2OHa41hjZlMfmtoWNduJd8fpEgCN6r75oACnddTtu25OWj+fam3Xy+eTD1dyn3vevPvk13X9WdtZ1K2LStdbiacTly9pt/6Qepk2rd/YqeZcPrgSp/c47yXYz8jPrxyTbv+4NmUbWM/IwJXr+nOhh8pL8eiXKtVeTkxCSqrRf9mz2b99pOR2+28dkuf/tNXYxJYFuVZrcod+b13x0r9ykNbJUWSXl/6+3fNbZHbj9x2Xo5Fd60p1E/ctVZSZB/5bttZ8zbNdlaLcnOsWluYb34GS9L7l3vNRNqSnNE+L8mxaEmO1RyhlwnETQAAIFulPeEkSdXV1aqurlZ3d7dCoZC2bds2G3eDeWZ4OBz50jryxa/r+i2Frg+of3BY/UPDGogmcQYjSZSHt5aoID+yCx471632s93xSZ6Y63zhwa3aODIq4gfvXVLzG+d1ayQRNDA8rFuDw7o1FEng/OFP361dG2ySpD9vP6Ov/8uHMbcVHmkbSdL84+fu1yfuXCNJ+qtj5/X55jdSPr7mXyg3kyevnO7Sz/+/11O2XVu41PyyczJ0fdxRHI+VlerJ2yN/99wc1LPBzpRtO6/fivs/9gvuWIMxCaj8XKtWLMmJ+9IXO3oh+qVfkpYvydGDW4oTRkRE/7977ei0jxVLcvQL5RuVY7HIGtvealGORXpgc7HZdmmeVV9/8nblWDVyW9bI3yO3vSNmypnVIv35z+42t8WO4sixWrSmMD4p8+MvPDRyPYus1shvy8j/BfnxozJe+7VHR9uO7K/RxNCSMV863/7yR2XRyPYxU7jG5qJiRztNpLXmwUm39f7Snkm3/d8/s3vSbf/oM/dMuu23f+Iuffsn7ppU22996k4zMTGR3/lXd+h3/tUdk2r720/eZiYxJvLlj5bp1x/dFjfSbWh4dPRbccxUyF/es0k/sXNN/DTIYWlo5O9tJcvNtj9511rdtbbQbGPe9kjbXettZttHHaXy/lJF0lF6g8NhPbDZbrbduaZQBz9555g2wxoalgaHh3VfzO2uK1qqX75/k4aGEkcgDg6HVVY6+j4qWJKrR7aVmG1ib3NoOKyVI6PSpEjCcXXBEjN5PTgcn8jOyxnd4weGR0dJSomJXuPmaJL3xsCQXj1tpHytimM+e24MDOlPXjqZsu3P7t5gJpwGhsL6t4ePpWz7U3et0d/88v3m//f9/rMJSfko146V+uEU3pOzgbgJC9HwcFjXbg2ZnxfRz9roaOSC/BytXBE5Xg8ODeudS72jbWLaDQ2HtbogXztH4ouh4bD+6b1LMdsV13aTfZme2LHS7Mcfv9Ax+lkYM8p6eFhylC7Xz5dvNNv+1g/e0/VbQxoa04/hcFjbS1eobu8Os+2/++s3zWnq0enyYUV+bytZrt//ydHj4r/9q2M633PT3D48HDZPjGyyL9Of/6zTbPtzf+HX8St95vZwWOYxaE1hflyMsO//tMl/rjvu9obDkRM0tqW5eqf2Y3Ftnwt2mid4pNHp8ktyrDr725Xm5T//F3798weXk7aVpMtff9JMxP/bw8f0129eiGkX/1l69j9XqmhpnvmcfbftTMrbDX51r9YVLZUkffnv39WfvNRhnuyKfIcYPbHW/uuPmeUIfqf1Q/3h88GEqfrR7xxHah4095//8XxQ3/5xIGGavkau2/KL5XKOjIj+36+dVv2PTiQtAWCRRU1V9+rBkZOsf/3meR08csKMBXPGxIW/84nbzdIFzxy/qt9/NmBO5489CZljtehXH96mh7dFbtd/1tAfv3hyzMjp0ev9zK71Zh8+vNKn/330TNKTmzlWiyp3rNKekfjifPdNtbx5Pi6Wjh1FvXuDTXeNPGfdNwb0fEdoTNyvkVjdoo22peb3sFuDwwqGrkW2jWmXa7VoWZ5Vy0dOiEZnX1hjXissPrOScIqy2Wyy2WwTN8SkhcORREz/YOQn+vetoWHdvqrAfDO/daFHZ4wbcdtjr/PvH9pm1kb5q9fP6aVTXeofHDITN5G/w+ofGtJf/Xy5ike+mPxX34f6P21ndWskiXQr5jYHh8MKfnWvto58QfvmkRP6/WdTFzt98zcfN8/Ef/+di/rGDz9M2fYndq41P+jevdSn77adTdk2NilzrX9IHaHUIxIGYoZCRM96R35HznzHng1fFjOdZF3hUu3dsXL0TLnVqiW5VvODuqx09Evq9pUr5Hli+8jZ/+iZfYt5Fv8xx2hdnbvWFurwL5Qr1xqfEIqOJNhaMjqy5551hfrA87GEqS/R9rHJkztWF6r3m59M+TzEWle0NG5a2XiKlubpu/96ckmOvBzrpBMGFotFP+fcOHHDEQ9sKZ640QhHzBfyiUQDKCwseSPv4ckoWpo36dd5TWF+QrIzlU32ZebUwYnctqpAnie2T6rtXWsL9af7dk2q7b3ri/Tcv394Um3vWVeki1//eMLlYfPLzehn5fbSFTrzn13miM3R0ZuR37HPUcnyPP3Nv9ljbosdsTkwNKyda0YT2Pm5Vv0n1w4z0TXaNnLdj8S8z8MK65N3rI4ZWTraj4HhYfM4FH0MtqV5cScehmI++ye7r8wF4qaFJxxO3P8KluSaU1B7bg7oVNeNuO0DQ6NJ4rvWFpqfFee7b+rIiSvmCOfRn8h74WPbV5p1+zo6r6vxlVNx0+SjiZ+hobA+e+86M0F74uo1/cb33x5tF5NUHhwO65f3bNa/e3irpMgIxr3feTnu9kavE9avPrLVPAFxtvuGtv7ukZTPzYGPbFaj+z5JUvfNwXFHWv+cc4OZlBkYGtZP/e+jKdt+5u61cQmnX//+2ylHtlbetjIu4fTHL5xUb3/yk3UPby2OSzj97dsXdbG3P2nb3RuK4v5/vqMz5QjY2BNqkvT2xR69daE3aduxo7LPdt9UMMXtXh+IP3Z13RjQ5b5bSduOPaHW2x8Z1T8ZNweGUj5nY90aCuvGQPIR52P1Dw2P2zb2Jb12a2jc/g7G7ADdNwd1tjt5OQRJcSPiu24MpCyHEL3fqCt9t+Q/152ybWz/zvXc0A/ev5yy7U+NvDcl6WTXDf3Z0dSjnO9dV2QmnIKd11X/zImUbQuW5JgJp0DnNf3G999J2fZ3P3GHmXA60XlNP/m/XkvZ9qt7d+i/fiJygrAjdF07G36csu2vPbpN/22k7MXZ7pva8l8j08NjE1nRE8//Zs8m/cFI4rb7xoB2/8Gz8Se8R/7OtVr1iTtW6+sfj5yhHxga1lN/dtTcFj2RnjvyXah8o001D241+/S1f/lAVouSfF+yakvxMn1yZPCBJP3dOxcVHqm/Gv2uFv1uZV+Wpztj4pZTI98xx35fi+0PZjnh1NMTqVFSVFQ0Qcvs8ycvdsiSvyIu4XNraFi5VkvcSIH//M/vq+2MkTQpJEnve54w2372z46OW3PlVv2nlDtyFvrgkeP6q2PnU7b95T2bzYTTkRNX9aevpq65cn1gSNEwv/PaLZ24mvqDOfZDfMWSHBXk52jJSNImP9dq/p2XYzH7Kkm3ryrQp+9coyW5sUme0QTQ6oLRM/GPOUpV/6k7zXZLckcTPktyLLp77ej+9tN3r9WuDba45FFsYim26PPPl2+MC0rG81hZqVrLJndG/PbVBTr4ycmN+FhVkK+q+9ZP3FDS0rwc7VhVMKm2ADAdFktktKJixvTl5li1wTa5ZNryJbn6qbvXTtxwpO1/meSIt/zcHP3D5x+YVFuLxaLL34hPpg0Pj37xn08Wc9x0pbdfveEbkaRMTHLm1mBYO9cUaMXIiOgTV6/p3Uu9CQmc6P9P3bNO622RERQvnQzpH969lNAumsis/dh2czTyP757SX/wbMBMho69zp989l5V3hap0Xb42Dl97vAbKfeh//uzu/WzIydNjhy/Ou409Ub3vTrwkS2SpHcu9eqX/vJYyrZ/8JN3mQmn8z031fCj1F88d6xaYSac+voH9Y/vpf7yW3nbDfPvsKTTxo2UbWMfb6418ctU7JfKvJjtuSOjk3NiRm/EjqBeW7g0ru0Dm+3mqI3RERqRUdHRUexR+3dtUDgcNttaY277zjXxcdKvP+bQraFh8zZjR5Jssi+Na/v1j9+uGwND5ohpqyUyWsZqkVauWBLXtuHTO9V3azBuhHW0fWF+/NetP/rpe9TbP5gwytpikZbmxo/KbnTfq77+wZj7Hv2dO2aqfJP7Pl27FUkMxY4miR21E/XHT92j+k/fObI9tqRB5HfsNPw/+Mm7zM/m2JtJNr3/W5+6Q//JtSNl29iyAV9/8jZ98TFH3NT72Kn7m2NO2nzxMYd+sXyjOe0+dlp/WGHtWDWa1Pv8A5v1yTtXR24vPDoiK3r7d8UkDPbvWq89m+wJ0/+jt78rJrH4yTtX6x8/d3/CIjJDI6PfKkZGTUnSQ1tK9L/27zJHTkfbRK/n3Di6D981Mso5tg5p7Kjs2D5sLVmmX3/MEbd99D5kJpCkyD76M7vWazg8OrI5OlpwcHhYjpiT48tyc7Rnk91MhMeOFhwcDqt0RXxys3hZXsLI7eiJnNh9J/bkztBwWEMKS2YOb0g3BkYTegPDwzrZlfqz587Vo+/lgaHhcT/Tuq6vMxNO4XBYv9OaelDDv7p9VVzC6ef+wp+y1MIj20riTuR95I9e0KUUSWnnBpvafuMx8//7fv/HOmPcVF5MqYBoKYAdq1bob2NGZdd439BZ42bcQIg8q0V5uZHvxL/7idHvlU+/ekoXe/tHvguPliRYkmPViiW52rdr9Htl2xlDvf2DcYMlov1ZkmPVtph94ubAkCyWyOe4dbwaI5MwKwmnuro6NTU1mbUI7Ha7vvrVr+o3f/M3Z+Pu5qW6f3pflvzlCZcX5OfEJZzazxj6lw+SF/mVIm+S6EFjbA0WKXJQjtaOuTU0bGZSy1auUPlGW1yiJ9puSY41rjbNp+5crTUF+XHbY3/bY87+//uHt+mz965Tfk6OluSO3HfM38XLRg/AX//47WYmeiI/s3uDfmb3hkm13bPZbmbvJ7K2aKnWFi2duCEAYNGwWi3Kt+Yof1ZPu00ecZO0/VvPJI2bJKnt1x81p8C0vHF+3Dpm960vMhNObWcMfWuc0QA/59xoJpwu9fXrR4HUU9p7bsaPrrg+MF7tt9EvWSuW5Gh1wZLRLwxjRiXHTvFdtWKJPn77KvPse+7IqOjo/3fEfOHaYFuq33jMYZ6Fz7VaY65n0aMxo6c3Fy/Tn+67L2m7sauobrQt1Wu/9ujodnMxg0hfimLeNOuK8kcWmIi0HW/KjG1Zni7ELIgxntwcq17+j49Oqq0k/cXPOSduNOIbk4xLJal6JBE4GZ+5Z92k20YXrZiM2Fp0E4n9sjiRyY7AlTSlOHrlinytnORA8pLlS8wFRyayujBfqyc5wnhd0VJz2t5ENtiWTfoEyubi5eZCGxMpW7ki7n01nttXT36U8x2rC80RQRO5c02h/t/Pl0+q7c61hXr11yb3nrt9dYE6f+dfJd0WnfoZtcm+TFe+8fGUCxHFfp7Ylubp5f/wSFyiK/p7cDis9UWjr39ejlVP77tvzEJIoyOtYz8rw2HpVx/ZpsGhYQ2MjAA1SwMMhXXfmNGKD2wu1vWBIbN97IjQjbb4/So/x6qludaYMgOjxiaEjRsDMm4kH6VnHfPZ+XwwpPcv9yVtu7V4WVzCqfHlU2o/m3zk3aoVS+ISTl/6+3f0XDD5QkTL8qy6dvBT5v+f/W6bOUovx2pJSJSdj5miOxFLOHacfBpUVFTI7/fL7XbL4XBIktrb23XkyBE9+eST+ud//ud03t2809PTI5vNpqqmZ1VQWKS8XIvyc3O0JCeSkFmWl2MWaZWkH35wWRd7+5MmhfJzrdqzyW4ewEPXb2loOByXEJppxhEAAIwev7u7u+d0hBFxU+R516/+lfKWrYg76xsNbr//y/fH1Wb8kxdPJrSJ/v/bT95unuV/Ptipv37rgnnG12w78v9n7l5nfkkPdl7Tq6cN5VktcWd9o9e7fVWBSkdGtfT1D+pK362E24yeXSY2A4DFJTySKIsmqcIKx5VsOBm6rpuDQ3FlBaIjaJfm5cSVDfi7dy6OLGQ1Wts4+ndhfq7+46MOs+03jxxXR+h6JEEWUwN5YCiswqW5+suYpOO/+cvX1XbWiLm9kX4Mh7Usz6pzvz16UuDJxpflS7GAU47VooGGT086bkprwukrX/mKgsGgDh06lFCDwDAMVVdX68knn9TnP//5dN3lvJOpgBUAAExfJo7fxE2jz7thGNSvAgBgHrg5MGSW+YlNeEXrZt67vmjScVNaK1kFg0E1NzcnDRjsdruam5vV3t6ezrsEAABYkIibRrGCEQAA88PSvBzZluVpVUG+1tuWakvJcu1YVaCdawt17/qpnZRLa8IpOhR8pm0AAACyHXETAADIZnO+Vl+ywOmZZ56Z624AAADMe8RNAABgoUprwqmyslJPP/10yu3PPPOMiouLEy5vbGxMZzcAAADmPeImAACQzdJaNHzfvn06cuSIHA6HSkpK4raFQiEFg0FVVFQkXO73+zU0lHp52YWEouEAACw8mTh+EzcRNwEAsBBN9vidm8479fl8cjgcKi4u1tg8VnFxscrLyxMuT2O+CwAAYMEgbgIAANksrQknh8Ohtra2KV9v37596ewGAADAvEfcBAAAsllaazjV19dP63p1dXXp7AYAAMC8R9wEAACyWVoTTh0dHRO22b9/f8Jlu3fvTmc3AAAA5j3iJgAAkM3mdITT66+/Lp/Pl867BAAAWJCImwAAQDZLa8IpEAjoT//0T5Nuq6urU3l5uQzDSOddAgAALEjETQAAIJulNeFks9n0ne98R8eOHTMve+aZZ7Rjxw41NTWpvr5e27ZtS+ddzlvff/tCprsAAADmMeImAACQzdKacHrmmWd09OhRtba26tixY/rCF74gl8ul3bt3KxgM6stf/rLa29vTeZfz1i/+5TF9+e/f1eDQcKa7AgAA5iHiJgAAkM3SmnCKFrH88pe/rO985ztqbm5WS0uLmpubZbPZJEldXV3pvMt57fefDejJpld0qbc/010BAADzDHETAADIZmlNOMX6zne+owMHDqiysjLuco/HM1t3Oa9892d2qSA/Rz8OdKr8vz2nl06GMt0lAAAwTy32uGloOJzpLgAAgDTLne4Vky3TO5ZhGCovL5fL5ZIkhUKhRbPayk/fs07371ivz/5Zm9673KeP/slL+p1/dYe+/NEyWa2WTHcPAADMIeKm8X32z46q+cCjWrkiP9NdAQAAaWIJh8PTOqVUUlIih8OhkpKSKV3vyJEjGhoams5dLgg9PT2y2Wzq7u5WUVGR+voHdaDlDR0+dl6S9MT2lfruv96lDbZlGe4pAACIGnv8TjfipuSiz7t+9a+0ZU2pvL9UoYpN9kx3CwAAjGOycdO0Rzg5HA61tbVN+Xr79u2b7l1mRENDg+x2u6TImcfa2topXb8gP1f/7+ecqrxtlf7j37ytZ05c1a7ff1ZP79uln7p77Sz0GAAAzDfETeMrK12uoHFDj/5/L+qPP3OPPvfA5lnsJQAAmAvTTjjV19dP63p1dXXTvcs5V1lZqfr6ejmdTklSWVmZHA6H3G73lG7HYrHo396/WQ9vLdHP/YVf/nPd+syfHdXnH9is3/v0TtmW5c1G9wEAwDxB3DS+H33hIf2Hfwro7965pAMtb+iV0136w5+6S8uXTDtUBQAAGTbtKXXZrqmpSe3t7WpsbDQv83q9EwZNEw0t6x8c0n/6wQf6/WcDkqSNtqVqdN+rT9y5Jr0PAAAATNpsT6nLdumImwoKCnXwmeP67X/5QOGwdOfqAv2/n3fqvvW22e4+AACYgsnGTVNepa6jo0NPP/20enp6ZtTB+c7j8SSsFDPVkU3J5Ofm6Pd+Yqd+9IUHVVa6XGe7b+pTf/qafvmvXlfo+q0Z3z4AAJg/iJsmz2q16Ldct+mH1R/RuqJ8vXe5Tw/84Qv6w+eD4vwoAAALz5THKW/btk3hcFhPPPGESktLVVNTo6eeemo2+jZlhmHI4/HIbrePO3Td5/OptbVVZWVlMgxDkuJqDBiGIcMwZLfb1dTUJEkKBAKqqamRw+FIS18fL1upN37zcf3nf/5A//35oL7bdlb//MEVNXz6Tv28c6MsFlayAwBgoSNumnrctHfHKr3xm4/r881v6O/euaTf+P47+uEHV/T0vvu0rmjplG8PAABkxrQmxh84cEAHDhxQR0eHGhsbVVtbq/LyctXU1OiJJ55Idx8n5PF4FAwGtWfPHvl8PnM54WS8Xq8OHz6slpYW8zKfz6fKykq1trZKkoLBoCTJ7/ebAZVhGNq2bZs6OjrMYpgztXxJrn7/J++S+951+lzzG3r/cp9+6S+P6dArp/VHn7mbIeQAAGQB4ib7lPu4ckW+/ubf7NH/fOmUvvT37+gH71/WXb/3Y/23n7xLv1jBiTkAABaCKU+pi7Vt2zZ961vf0okTJ/SVr3xFzc3N2rFjh+rq6nTy5Mk0dXFi9fX1amlpUW1t7bhBjWEYOnDggA4dOhR3ucvlUigUMs/KhUIhSYo7K2e321VRUaGDBw+mvf8Pbi3R6198TN/85B1anpejFzpCKv9vz+lXv/eWrvT1p/3+AADA3CNumhqLxaJ/9/BWvfZrj6p8o03GjQH98uFj+tTTr+p01/Vp3y4AAJgbM0o4xdq9e7e+853v6Pjx46qoqFBtba327Nmjb3/72/OmbkFzc7McDkfS4Gr//v1mocuSkhJJShgGbrfb5ff7Z6Vv+bk5+soTO/Se52Pad996DYelP3nppMoOHtE3fviBem8Ozsr9AgCAuUfcNHl3ryvSy//hER385J3Kz7Xqnz+4oru//WP9wbMBDQwNz/j2AQDA7EhbwinWZz/7WTU3N8vn88lms+mJJ57Qxz/+cT399NOzcXeT1tLSYgZFYzkcDvn9fhmGYS7nmwmb7Mv0V79QriO/8qAqNtrU1z+kb/zwQ20/eER/+HxQNwaGMtY3AACQfsRNE8vNscrzxHYd++Ljenhrsfr6h/Slv39Xu37/Wfk+vDLr9w8AAKZuVhJOUTabTQcOHFBbW5uam5vV1dWliooK7d+/X88888xs3nVSbW1tKYtXRi+P1iFwOp3m31FzmYz62PaVevXXHtXhXyjX9pUrdOXaLf3G99/Rtt/1qf6ZE+q5OTAn/QAAAHODuGlit68u0LP/7mEdqrpPK1cs0XuX+/Rk0ytyf/eoTly9ltb7AgAAMzOrCadYNptNX/7yl9XW1qavfOUr+uEPf6jt27frC1/4go4dOzYnfYiuoDKeaLBUX19vDhWPXh4MBlVXVzebXYxjsVhUdd96vfPlj+p/fvYebSlepst9t1T3T+9p6+8e0X/6wfs6a9yYs/4AAIC5QdyUmtVq0ece2KwPPB/Trz6yTVaL9L23Lmpnw4/0hb9+U+e7b6b9PgEAwNRNa5W6mdq9e7d2796tb33rWzpy5Ii++c1v6qtf/ap27dqVie5IkhlQRQtfRlds8Xg8Ki0tVSAQUGtr66RXWhlbfyE/P1/5+fnT6ltejlU1D27Vv71/s/7y9XP61jMn9P7lPn3zyHHV/+iEnrp7rf7dw1v1mKOUVVsAAJiE/v5+9fePLswxX+omJUPclFzx8iX6Hz99tw48sFlf+cf39IP3L6vx5VP6P21n9B8eceg3H3doVcH0Yi8AADBqunFTRhJOsfbu3au9e/dmuhtJuVyucZcKHs+mTZvi/v/a176mr3/96zPqT16OVb9YsUk/59yov337gv7ohQ49Fwyp5c0Lannzgu5ZV6h/e/9m/etdG7S6kAALAIBUDh48qG984xuZ7saUETclumddkf7x8w/ouUCnvvqD9/TSyS41/OiE/uiFoD73wBZ96XGHNhcvn1a/AADA9OOmjCec5gvDMCQpZXHMqTpz5oyKiorM/6c7uimZHKtFn713vT5773q9eb5H/99LHfqL9nN660KvfuP77+hLf/+uPnH7av1ixUZ9eucaLc3LSdt9AwCQDerq6vTFL37R/L+npych6YHU5mPc9FhZqZ7/9w/rH969pP/S+qHaz3brj1/o0HdeOqmf3b1B//HRbXJutKelvwAALCbTjZvmPOHU09MTF1Bkq6Kiojl5nPeuL1Kj+z7Vf2qn/m/7Wf15+1kdPWPoH967pH9475IK83P1qTtX6zP3rNMn7litgnxyjAAAzGSq+1wibpoai8Win7hrrT69c42OHL+qbz1zQs+cuKr/035W/6f9rD6ypVhfeGiLqu5dzwk5AAAmabpx05xkH44cOaJgMKjS0lLZbDYFg0FZLBZ9/vOfn4u7NzkcjoQVVKKiNQhSrcYy39mX5elXH9mmX31km96/3Ks/bz+r/9t+VmeMm/qrY+f1V8fOKz/XqidvW6WfuGuNPn77am2yL8t0twEAwBjETTNnsVjkum2VXLet0qunuvQ/XuiQ983zeuVUl1451aXf/Lt39YsVG/UL5Rt133pbprsLAEBWmvWE09NPPy2XyxVXbyD697e//W196Utfmu0umJxOpzkEfKzYZX0XujtWF+p3P3Gnfufjd+joGUPfe+uCvvfWBQU6r+vv372kv3/3kiTpztUFevL2Vfr47av1mKNEy5cw+gkAgEwibkq/B7YU6y+2FOv3f2Kn/vS102p8+ZTOdt/UHzwb1B88G9Q96wr1886N+lnnBm2wcTIOAIB0sc7mjT/zzDMqLy/X1q1bk27/0pe+pG9/+9uz2YU4lZWVKc/UBQKBaRe6nK+sVose2FKs+k/v1IdfeUJv/Obj+tqTt+kjW4pltUjvXe7THz7foU8+/apK/vO/6NE/fkF1//Se/um9SzJuDGS6+wAALCrETbNrbdFS/ZbrNgW/uld/+8t79Nl71mlJjlVvXeiV5x/f0+b/6tNH/+RF/ffngjoVup7p7gIAsODN6pCWYDA44fDv3bt3z1l9gn379snj8SgYDCYMAfd6vaqvr5/1PmSKxWLRPeuKdM+6In3tydsVun5Lzxy/qn/58Ip++MFlnTFu6sWTXXrxZJfqJVks0r3rivTw1hI9tLVYFZvs2l66QlarJdMPBQCArETcNDdyc6z6ybvW6ifvWquu67fU/MZ5/d/2s3rxZJeeC4b0XDCkL/7dO9q9oUg/ffc6/dRda3XPukJZLMRAAABMxawmnMLhcNz/Tz75pE6ePKkPP/zQvKyiokJtbW164okn0nKfhmGYdQXGstvtOnTokDwej1paWszLvV6vHA6H3G53WvqwEJQsXyL3fevlvm+9wuGwAp3X9XywU893hPRCR0gnrl7TG+d79Mb5Hv3JSyclSbaluarYZFfFJrv2jPxstC0lAAMAIA2Im+Ze8fIlqnlwq2oe3KqToev627cv6vtvX9TzHZ16/VyPXj/Xo6/9ywdaV5SvJ29bpSdvXy3XjpVaVTD/C84DAJBps5pwGpuICIfDGh4eTmg3NsCaqoaGBh09elTBYND8qayslN1u1/79++MCIrfbLbvdLo/Ho7KyMrM2QWtr64z6sJBZLBZtX7lC21eu0C/fv1mSdKHnpl4YST4dPWPo9XPd6r45qCPHr+rI8avmdVcXLNF964t07zqb7l1fqPvW2XTH6gItyZ3V2ZoAAGQd4qbM2lqyXL/+mEO//phDV/r69Q/vXtLfvn1RvuNXdKGnX99tO6vvtp2VJDk32LR3x0o9Xlaqh7eWyLYsL8O9BwBg/rGEZxq1jOPQoUM6cODAuG2+973vyeVyZc2Svz09PbLZbOru7s6axyRJA0PDevtir46eMdQ28vPWxV4NDSfuPnk5Ft25ulD3rY9M4btvfZHuWVuoNYX5jIYCAMxL8+H4Tdw0Px9T/+CQXugI6YcfXFHrh1d07HxP3HarRbpvfZEedZTqMUepHt1WwggoAEBWm+zxe1ZHODkcDh07dky7du1K2SYQCOipp56azW4gDfJyrNq9wabdG2yq/sgWSdKNgSG9dSEy7e7NCz16c+R3983ByP8X4gOykuV5umtNoe5cU6idawq0c02hdq4p1LoiElEAABA3zU/5uTnau2OV9u5YpXpJF3tuqvX4Ff040Knng5EyBNHpd//j+Q5J0u2rVuiBzcW6f3OxPrLFrnvWFSkvh9HfAIDFZVZHOEmRs3WVlZVJV1yZ6+V958JCOFM3m8LhsE533dAbI4moaELqROc1pdrT7MvytHNNgZmIumskEbWB+lAAgDkyX47fxE0Lz/num3q+o1PPBUN6Ptipty/2JrRZmmtV+UbbSAKqWA9stmuTfRlxDgBgQZrs8XvWE06SdOTIEXV0dKikpESS1NnZKYvFMuFKLAtRNgROs+HGwJDev9yndy/16t1LvXrvUp/eudirQOc1JZmVJ0kqzM81E1F3rh5NSG0pXq4cVssDAKTRfDp+EzctbJ3XbunV01165VSXXjtt6LUzhowbAwnt1hTmyzkyerx8o03ODTZtLiYJBQCY/+ZVwilWd3e3bDbbXN7lnMrGwGk23RwY0odXrundS71651Kv3rvUq3cv9en41WtJ60NJkbOEt6+OTMm7Y3WBmYzasXIFxcoBANMyX4/fxE0L3/BwWMevXotLQr15oUeDSeKckuV5cm6wybnRPvLbJkfJclk50QYAmEfmbcIp2y2GwGku3Boc1vGr1/TOxciIqPcv9+m9y7364PI13RpKXLFHknKsFm0vXa47RxJRO9cU6s41BbpjVYFW5M9quTIAwALH8TszFuvzfmNgSG+e71H72W75z3Xr9XOG3r7Yq4GhxLC8aGmuORJq9wab7ltfpDtWF1ATCgCQMbOecKqrq9PBgwenfL1srD8Qa7EGTnNlcGhYHaHreu9yn9671Kf3L0dGRL13uVd9/UMpr7eleJnuXF2gO8zpeZGEVMnyJXPYewDAfDXbx2/ipuSIm0b1Dw7p7Yu98o8kofxnu/XmhR71DyaeaFuSY9Vdawt033qbdq2PrAh833qb7MvyMtBzAMBiM+ur1Pn9/mld7+jRo9O9S0C5OVbtWFWgHasK9JN3jV4eDod1rvum3hupExVNRr13qU9Xrt3Sqa4bOtV1Q//8wZW421tdsER3ro6MhLozJhm1voiC5QCA9CFuwkTyc3NUvtGu8o1287KBoWG9d6lP/nPdaj9r6I3zkcVYevsHzZXxYm0pXqZd64t0b0wialvJcmIaAEBGTHuEk9VqVXl5uVnQcjJCoZD8fr+GhlKPRFnoOFM3/1y91q/3LvWNjIrqHfm7V2eMmymvU7Q0N5J8Wl2oO0ZGQ925ukBbSyhYDgDZaLaP38RNyRE3Td3wcFgnu67r2Ejy6Y3z3XrjfI9Odd1I2r5oaa7uXRcdBVWkXettumttoZbl5cxxzwEA2WLWp9RZrVbZ7fYpXccwDFksFgInzAt9/YPmynnvXe7T+yO/T1xNvXLe0lyrbltVoJ1rCnTHyMionRQsB4AFby4STsRNiYib0qfr+i29eaEnLhH1zsW+pLUvrRbpjtWRKXmxiag1hfkZ6DkAYKGZ9Sl1ra2tCgaDKikp0Wc/+9lJX+/JJ5+c7l0CaVWQn6uKTXZVbLLHXd4/OKTjV66Z0/PeH6kX9cGVPt0cHNabF3r05oX4Iew5VovKSpebK+bduWZkdNTqAhVQsBwAFj3iJsy24uVL9HjZSj1ettK8bGBoWO9f7tOxkVFQb5zv0bFz3eq8PqB3L/Xp3Ut9+svXz5nt1xTmR6bkrSvSrg2RaXm3rSpgdDcAYFpmvEpdd3e3mpubZbFY5HK5tHXr1nHb/8qv/Iq+853vzOQu5zXO1GWvoeGwToaux4yIGh0d1ds/mPJ6m+3LIqvljSSjdo4ko0pXULAcAOaLuTp+EzfFI26ae+FwWOd7bkaST+d79Ob5Hh07363jV68p2beCZXlW3bO2SPdtiIyCiiakWAEYABavWZ9Sl8zrr7+utrY2lZaW6qmnnkrXzS4oBE6LTzRwe+9SX1wy6r3Lvbrcdyvl9VatWDKmWHkkGUXBcgCYe5k4fhM3ETfNJ9f6B/XWxV4dO9etNy5ERkO9eb5H1wcSp3RaLNJtK1do1wabOR1v1/oirS1amoGeAwDmWkYSTrH++q//Wl1dXaqoqNCuXbtm4y7mJQInxOq8dkvvXe5NKFp+2khe2FOSCvNzzdXyYpNR2yhYDgCzJtPHb+Im4qb5aGg4rBNXr+nY+e5Ibahzkd8Xe/uTto9OybtvJAG1a0ORdqxkSh4AZJuMJ5yiOjo65PP5ZLFYtG/fvqwPJgicMBl9/YP64MrIiKhLfSN1onp1ovO6hlJULM/Pter2VQWj0/NWR0ZE7Vi1Qvm5rDQDADMxX47fxE1YCC723NQbF3p07FykOPmx8z364Epfyil5kVXybNo9Mi3vnnWFWr6EKXkAsFDNm4STFDlr19jYqCNHjsjtduvw4cOzfZcZQ+CEmbg1OKzjV69FRkJFR0Rd7tMHlyMFy5PJsVrkKFkePyJqpGB54VKCOQCYjPl0/CZuwkJ0rX9Qb1/sHR0NNc6UPKtFum1VwehoqA2skgcAC0nGE04nT55UfX29mpubZRiGtm3bppqaGlVXV8tms83GXc4LBE6YDUPDYZ3quq53L40mod4fWUWv52bqguWb7Esjyac1Bdo5kozauYaC5QAwVqaP38RNxE3ZaGg4rONX+3TsXM9IEqpbr5/rTlnjcm10St7ICnm71tu0feUKpuQBwDyTkYRTT0+Pmpub1djYKL/fr3A4LLfbrZqaGu3duzdddzOvEThhLoXDYV3o6TfrRL17qTcyPe9yny6lqK8gSeuK8nX32kLdtbZId68t1N1rC7VzTaEKWHEGwCKVieM3cRNx02J1seemjo2sjvfG+R4dO9etD1Oskrc8L0f3ri8aqQkVSUTds65Iy/IoJwAAmTKnCadnnnlGjY2N8nq9CofDcjqdqqmp0YEDB2Z60wsOgRPmi9D1WyPFykfrRL17qVenulIXLN9Wslz3rCvUXWsLdfdIMur2VQVakmudw54DwNyby+M3cdMo4iZExa6SFx0N9eaFHt0YSCwpkGO16I5VBXJutGn3BpucGyLT8oqW5mWg5wCw+Mx6wqmnp0dNTU1qbGxUIBCQ3W7Xvn375PF4tG3btpTX+/a3v60vfelL07nLBYHACfNd781BvXupV29f7NXbF3v0zsXI36lWnMm1WnTbqhW6e22R7lpbqHvWRZJRrJoHIJvM9vGbuCk54iaMZ6pT8nasXBGXhNq9wUYZAQCYBbOecLJarbJYLHK5XKqpqdFTTz01qevt2LFDx48fn85dLggETliorvT1m8mnty/26p2LPXr7Yq+6U9SIWpZn1c41hQlT8zbYlspiIREFYGGZ7eM3cVNyxE2Yqmg5Af+5bvnPduv1c4b857p1xriZtP1m+7K4JJRzo03ripbOca8BILvMScLJ7XbL4XBEbijmC2Y4HE74whkOh+X3+3XkyBENDSWuVpEtCJyQTcLhsM5139TbF3v11oXR0VDvXupNuWqefVneSBKq0ExC3b22iDOMAOa1uUg4ETclIm5Culzp69fr57r1+rkevX6uW/5z3Tpx9VrStmsL8yMjoDaOjoTaUryME2YAMEmznnCqqKhQW1vblK4TDAZVUVGhUCg0nbtcEAicsBgMDYcV7LwWMxoqMj3vgyvXNDSc/CNlbWG+7llXqHvWFenekZ871xQoP5einwAyb7aP38RNyRE3YTZ13xjQsfOR5NPrZyO/37/cp2ShSvGyvISRUNtLV8hK+QAASDDZ4/e0l6SKnqGb6nVcLtd07xLAPJFjtWjHqgLtWFWgz9yzzry8f3BIH1y+prdHpuNFR0R1hK7rYm+/Lvb2q/XDq3G3c8eqAt27vkj3rCs0E1FMywOQbYibgLlnW5anx8tW6vGyleZl128N6s0LvfKPJKBeP2fo7Yu96roxoCPHr+rI8dE4pSA/R7vXR0ZC7V4fSULdubpAuTkspgIAk5GWVeowijN1QKK+/kEz+fTmhR69daFHb5zvUdeNgaTti5fl6d51RbpnfZHuHUlE3bWmUCvyp50jB4BxcfzODJ53zAf9g0N652KvWRcqWqA82Qp5S3Otunddkco32VWx0aaKTXaSUAAWnVmbUvf000/r85///Iw7OFe3O9cInIDJidaHevNCz0gSKlIn6v3LfRpMMtbdYpG2l66IJKLWFene9ZFE1Nbi5Qx3BzBjs3X8Jm4aH3ET5qvBoWF9cOWa/OeMkeLkkfpQvf2Ji6ksy7Nq13rbaBJqo123ry5gNV8AWWvWEk579uzR0aNHZ9zBsbJlFRYCJ2Bm+geH9N6lvphEVI/evNCrS739SdsX5OfonrVFo7Wh1hfqnrVFsi3Lm+OeA1jIZuv4Tdw0PuImLCTDw2EFOq+p/Wz3yI+h9rPdSZNQK5bkaPcGm8pHRkGVb7TptpUFnCQDkBVmrYZTOBzW9773vRl1LtltMrMPgCTl5+Zo1wabdm2wxV1+qbd/JPnUY/5+52Kf+vqH9PKpLr18qiuu/ZbiZaOjodYV6b71Rdq+cgVnGwHMKeImIHtYY2pY/szuDZIiSajjV6+p/ayhtrPdaj9jyH+uW9duDemFjpBe6Bgt+l+YnyvnBpvKN9lUvjEyGqqMwuQAstiURzj99V//tYLBYNo7YrfbdeDAgbTf7lzjTB0wdwaHhvXhlWtjRkP16IxxM2n75Xk5und9JPm0a32Rdq236Z51hVq+hNpQwGI3W8dv4qbxETchGw0Nh/XhlT61nTXUdiYyEur1c8lrQtmW5qp8o13Okal4FZts2laynMVTAMxrszalDuMjcAIyr+v6Lb11oddMRL15vkdvXexJGuhZLdJtqwq0a32R7h1JQu1aX6S1RUsz0HMAmcLxOzN43rFYDA4N6/3LfWo72622M4bazxp643yPbg4mxibFy/JUsckm58bRmlCbi5eRhAIwb5BwyhACJ2B+GhoO6/jVPh0712OuPvP6uW5d7ruVtP2awnztWl+k+0YSULs2FGnHSgqAAtmK43dm8LxjMRsYGta7l3rVdqZbbWcjxcnfON+jW0OJSaiVK5aofGNkKt79m+3as8mudZwcA5AhJJwyhMAJWFgu9tzUsfM9Ona+W2+ejySjPrjSp2SfjMvyrCP1oGzmtLx71hWpIJ8pecBCx/E7M3jegXi3Bof19sUecySU/2y33rzQk3QF3422pdqzya49m+26f1OxyjfaWDQFwJwg4ZQhBE7Awnetf1BvX+zVsfPdI6OhItPyrg8MJbS1WKQdK1doV0wSatcGm9YW5jP0HVhAOH5nBs87MLGbA0N660Kv2s4aOnrGUNsZQ+9e6lWSHJTuWF0QSUKN/Ny3vkhL83LmvtMAshoJpwwhcAKy09BwWCeuXtOx85Hh7m+MjIq60NOftP3qgiXatd6m3Rttcm6I/DhKKQIKzFccvzOD5x2Ynr7+QfnPduu1kQTUa6e7dLLrRkK7vByL7ltXpIpNdt2/uVj3b7Lr9tWUCAAwMyScMoTACVhcLvX2642YkVDHznXrgyt9Sc86Fi3N1e4xSSiCPmB+4PidGTzvQPpc6evX0TOGXjs9koQ6Y+jqtcRalQX5OSMr4tl1/6ZITahNdoqSA5g8Ek4ZQuAE4Pqt6JS8HvnPRoqTv3mhR/1JVqJZnpej+9YXafcGm5wbbdq9waa71hRqSa41Az0HFi+O35nB8w7MnnA4rFNdN/TaaUOvnelS2xlDbWe6k5YIWF2wRPdvKh4ZCRWZjle6YkkGeg1gISDhlCEETgCSGRga1nuX+uQ/1y3/uW69ftbQsfM9unYrMehbkmPV3WsL40ZC3bu+SMuowQDMGo7fmcHzDsytwaFhvXe5L24kVKqi5I7S5bp/k91MQu1eb9MKFkoBIBJOGUPgBGCyhobDOn61T6+fGx0J5T/XLePGQELbHKtFd64ukHODTbtGklC7NhSpaCmr0QDpwPE7M3jegcy7MTCkY+e6dfSMYf58eOVaQrscq0V3ry3UA5uL9cBmuz6ypVi3ryqQldIAwKKTsYTTM888o8bGRgWDQTkcDj355JOqqqpaNEEEgROAmQiHwzoZuiH/OWNkJFQkCXW5L7EGgxRZIS86Fc+5IfKbIfDA1GXq+E3cRNwEzEdd12+p7exIEup0l147YyRdKMW2NFf3b44UJP/I5mI9sMWulSvyM9BjAHMpIwmnQ4cOyePxyOVyyTAMtbW1yTAMFRcXq6GhQZ/73OfSdVfzFoETgHQLh8O60NMfmY53tluvjySjzhg3k7bfUrxMFRvtKt9ki/zeaFPxcpJQwHgycfwmbiJuAhaSs8YNvXq6S6+eNvTqqS61nTV0YyCxPmVZ6fLIKKgtkZFQu9bbqE0JZJnJHr/TOgm3vb1doVAo7rKOjg61trbqy1/+sgKBgL75zW+m8y4BIOtZLBatty3VettSfXrnGvPyK339ev1ct14/12NOxztx9ZpOdd3Qqa4b+uu3LphtHaXLzeRTxSa7nBtssi1jOh6QScRNABaSjfZl2mhfps/eu15SpD7l2xd79eqpLjMR9f7lPgU6ryvQeV3/7/VzkqT8XKt2b7Dpgc12PbC5WB/ZUqwtxayKBywGaR3h9PTTT+vzn/980m2GYai6ulo/8zM/o6eeeipddznvcKYOQCZ13xjQ6+e61Xa2W+1nI8VAA53Xk7a9bdUKcyRU+Qa7dm+wqXApxUCxOGXi+E3cRNwEZJuu67d09IyhV04Zeu10l1453aXQ9cTalKsLlugjW4rNqXh7NtmJQYAFJCMjnE6cOKGenp6kd2i329Xc3KwvfOELWR04AUAm2Zbl6aPbV+qj21eal4Wu35L/bLfaY5JQJ7tu6MMr1/ThlWvmGUiLRbpjVYEqNo2OhNq1vkjLlxAAArOBuAlAtilevkRP3r5aT96+WlKkLECg87peiY6COtWlY+d7dLnvlv7unUv6u3cuSYrEIHetKYwkoLZERkLtXFOoHAqSAwtaWr9F1NXVae/evXr66ad13333JW3jcDjSeZcAgAmULF8i122r5LptlXnZ1Wv9aj/brbYzhpmIOmPc1HuX+/Te5T79eftZSZLVIu1cUxhXE+q+9UVampeTqYcDZA3iJgDZzmKxaPvKFdq+coV+vnyjpMiqeK+f6x5JQBl69XSXTnXd0NsXe/X2xV79r9dOS5IK8nO0Z6N9pBZUsR7cUqzVhRQkBxaStCacbDabGhsb9bGPfUx79uzRvn37FtVKKwCwUKxcka+P375aHx85AylJl3r7R0ZAjYyEOhtZkSYaAP5Z2xlJUu7Issjlm+wq3xAZCXXPukLl55KEAqaCuAnAYrQsL0cPbS3RQ1tLzMsu9tzUq6cNvXK6S6+diqyK19c/pB8FOvWjQKfZrqx0uR7cUqwHt5bowS3FunttoXJzKEgOzFdpreEUZRiGPB6PWlpa1N3dLYfDIafTqe7ubn3nO9/R1q1b032X8wa1CABkk/PdN0eST91qP2Po6BlDV67dSmi3JMeq+9YXac8mu+7fbNeeTXbdvqpAVobCY4HI5PGbuIm4CUC8oeGw3r3Uq1dPd+mVU5FV8d693Kux31xXLMkxC5E/uCXyu3QFK/MCs22yx+9ZSTjF8vl85o/f75fFYpHD4ZDL5dKTTz6pvXv3ZlWAQeAEIJuFw2Gd7b4ZNxWv7YyhziQFQYuW5qpio117Ntt1/0giaoNtWQZ6DUxsvhy/iZsAIDnjxoBePd2ll0926eVTIb162lDPzcGEdrevWqEHt5Towa2RJNTONYWcAAPSbN4knMZKFki1trbqiSeemMtuzBoCJwCLTTgc1snQDb12pkuvnTbMZNT1gaGEtuuK8nX/Jrv2bC7W/Zvsqthkl31ZXgZ6DcSbr8dv4iYASG5oOKz3LvXqpVNdeuVkl146FdKHV64ltLMtzTVHQT20NVIPykbsAczIvE04xeru7lZbW5sqKipks9ky1Y20InACAGlwaFjvXuozk1BHzxh6+2KvhoYTDzm3rVphJqH2jKyMR1FyzLWFcPwmbgKA8XVeu6VXTkWST6+cjNSCunYr/gSYxSLtXF1ojoB6cGuxbl9VIIuFUVDAZC2IhFM2InACgOSu3xrU6+d69NqZLh09bei1M4aCndcT2uVaLTH1oCJJqDtWF7A0MmYVx+/M4HkHMJsGh4b11sVevXyyS6+cCumlU11JY4+S5Xn6yOZifWRrsR7aUqL7N9tVkJ/W9bWArELCKUMInABg8q5e61fbme6RUVCR0VDJipIX5OdE6kFtspuFyTfZl3E2EmnD8TszeN4BzLVLvf16+VRoJAnVpaNnDN0cHI5rY7VI96wrMkdAPby1RNtKlhN3ACNIOGUIgRMATF84HNaprhs6esYwk1BtZ5LXg1pTGKkH9cCWYn1kZCRU4VLORmJ6OH5nBs87gEy7NTisN873RJJQpyJFyU8bNxLarS3M18NbS/TQtmI9srVUuzYUKS/HmoEeA5lHwilDCJwAIL0Gh4b13uW+uCTUmxcS60FZLNLdawt1/+ZIAuojW4p15+oCVqbBpHD8zgyedwDz0bnuGyOr4UV+2s8aGhiKjzuW5+Xo/s12PbS1RI9sK9GDWyhGjsWDhFOaNTQ0yOl0yuVyjduOwAkAZt+NgSG9fq5br57u0qunDL16ukunuhLPRhYtzdWeTXZzdZoHNtu1qiA/Az3GfMfxO72ImwBkkxsDQ2o7Y+iFjpBeOhnSSye71HVjIK5N9MTXQ1tL9PBIEmpLMdP/kZ1IOKVRMBhUWVmZWltbCZwAYJ660HNTr57u0iunDL12OlKTYezKNJJUVrpcD2wuNqfi3be+SEtyGRK/2HH8Th/iJgDZbng4rPcv9+nFkyG92BHSiydDCiQpRr6+aKke3lqsh7ZFElD3rStSLtPwkAUme/ym2MUk+Hw+ORyOTHcDADCOdUVL9dN3r9NP371OUmQq3juXevXKqS69etrQq6e69N7lPgU6ryvQeV3/7/VzkqT8XKucG2xmAuojWyhIDswEcROAbGe1WrRzbaF2ri3UgY9skSRd7LkZSUCd7NJLHSH5z3XrfM9Ntbx5QS1vXpAkrViSowc2F+uhrcV6eGQaXtFSpuEhe5FwmoDX69W+fftUX1+f6a4AAKYgN8eq+9bbdN96m2oejFxm3BjQa6dHE1CvnO5S6PqAWaMham1h/sgUvEgCqmKjXStYHhmYEHETgMVqbdFSffbe9frsveslSddvDeq104ZeHJmC99LJkLpvDuqZE1f1zImrkkZXw4tMwyvWI9tKtLl4eSYfBpBWWRU9G4Yhj8cju90+bqDj8/nU2tqqsrIyGYYhSaqtrU16e5Jkt9tnobcAgLlmX5anJ29frSdvXy0psipeoPO6XjnVNTISqktvnO/Rxd5+/e3bF/W3b1+UNBoQRmtBPbilWLetWsEoKCxoxE0AMHuWL8nVR7ev1Ee3r5QUmYb3zqVevThSB+rFk13qCF3XG+d79Mb5Hv3Pl05KkjbalurhbSVmEupepuFhAcuKhJPH41EwGNSePXvk8/nGrRfg9Xp1+PBhtbS0mJf5fD5VVlaqtbU1rm1zc7Oqq6tnrd8AgMyyWCzavnKFtq9coZ8v3ygpUhjUf7bbTEC9erpLZ4ybZkDY9MopSVLJ8jw9uKVYD26NDInfs8muAkZBYQEgbgKAuWe1WnTPuiLds65Iv/LQVknS+e7oNLyQXuoI6fXzPTrbfVOHj53X4WPnJUmF+bl6aGT006PbSnX/ZruW5uVk8JEAk5d1RcPLy8tVUVGhxsbGhG2GYWjbtm3q6OhIOPtWXl6umpoaM1Dy+/2y2+1mDYKysjI1NjZS/BIAFqFz3TdGp+GdihQkvzk4HNcmx2rRvesK9eCWEj20tVgPbinR1hJqQS0Ui/X4TdwEAPNHX3/sNLyQXj7VpZ6bg3FtluRYtWeTTY84SvXoyEgo+zLqQGFuUTQ8iebmZjkcjqRDvffv36/GxkYzcGpra+MsHQBAkrTBtkxP3bNMT90TKUg+MDSsN873mMHgyye7dNq4odfP9ej1cz36k5Fh8WsL8/XQ1mJ9ZCQJ5dxg46wkFgziJgCYWwX5uXpix0o9sSMyDW9oOKy3LvTo+Y6QXgh26vmOkC729uvFk1168WSX6iVZLNK964rMEVCPOkq0rmhpZh8IMGJRJZxaWlpUUlKSdJvD4ZDf75dhGGpqalJnZ6caGhrM7aFQSI2NjfL7/UnrFgAAFo+8HKsqNtlVscmu//ho5LKzxg2z+PjLJyOr01zs7df33rqo770VqQW1JMcq50ZbZCrelmI9tLVE620EhZifiJsAILNyrBbt2mDTrg02/YdHtpm1J58Pdur5YEjPd3Qq0DlaB+r/e/GkJKmsdLke3VaqRxwlenRbibavpO4kMmNRJZza2tq0b9++pNuiQ8CDwWDSwMjj8aimpmbCoeEAgMVpo32ZquzLVHVfZHWaaC2o6Ciol06GdLnvllmg/L+NXG9L8bK4WlD3rS9SHsVBMQ8QNwHA/BJbe/KX798sSbrQc9NMPr3QEdKbF3oU6LyuQOd1/VnbGUmREdePbisxp+Hds65IOVYSUJh9iyrhZBjGhCunBINBOZ3OuekQACBrLcvL0cPbSvTwtsgIkXA4rI7Qdb10cnQU1JsXenSq64ZOdd3QX40UB12WZ9X9m4r1ka3FemhLsR7cWqyVK/Iz+VCwSBE3AcD8t65oqfbtWq99uyInvIwbA3rpZMichnf0TGTEdcubF9Ty5gVJUtHSXD28tSQyDc9Roj2b7MrPZco/0m9RJZzGEw2oQqFQ3OU+n89cmaW+vp6h4QCAabFYLHKUrpCjdHRFvN6bgzp6xtBLp0J6eSQRZdwY0LPBTj0b7DSvu2Plikgh8q0lenhrie5cXSArZyaRQcRNADA/2Zfl6ZN3rtEn71wjSbo5MKTXThvmCKiXTkYKkf/g/cv6wfuXJUn5uVbdv8k+MgWvVA9tLVbRUgqRY+ZIOE3A5XLJ5XIlXb1lPD09PXH/5+fnKz+fM9QAgFGFS+OLgw4Ph/XBlT69dLJLL50K6ZWTXXrvcp+OX72m41ev6bttZyVJxcvy9NDWSA2oR7ZFzkxSjHxq+vv71d/fb/4/9riN6SFuAoD5ZWlejh4rK9VjZaWSpMGhYb1pFiKPTMW73HdLz3dERkUd1AlZLdJ964v0yLZSPeYo0WOOUq0q4DN5MZtu3ETCaYRhGJKUsjjmVG3atCnu/6997Wv6+te/npbbBgBkJ6vVojvXFOrONYX63AOR2gyh67f06qkuvXSqSy91hPTqaUNdNwb0j+9d1j++FzkzuSTHqvKNtsgUvq0lengb0/AmcvDgQX3jG9/IdDcWLOImAFiYcnOscm60y7nRrl971KFwOKzjV6/p+WBIL3REVsILdl43V979oxc6JEk71xToUUepHneU6vGyUlbCW2SmGzeRcJolZ86cUVFRkfk/Z+kAANNRsnyJPnHnGn1iZGj8wNCwjp3r0YsnQ3qxI6QXT0aWSI6ukPdtBSRJt69aoYe3lerhrcV6hBVqEtTV1emLX/yi+X9PT09C0gNzh7gJADLDYrHotlUFum1VgXmy63z3TT3fMboS3lsXevXupT69e6lPjS+fkhSZ7v9YWSQB9ZijRJuLl2fyYWCWTTduWlQJJ4fDoWAwmHRbtAZBdNWVmSoqKooLnAAASIe8HKv2bLZrz2a7fv2xyJnJYOd1vXgyNFKbIaR3L/XpgyvX9MGVa/pfr52WJK0uWKKHt5aY0/B2b7BpSe7iXQ2PKVsTI24CgMVpvW2p9u/aoP27NkiSOq/d0vMdnXo20Knngp06dr7HnO7/p69G4oytxcv0eFmpHhsZAbWtZDknurLIdOOmRZVwcjqd5hDwsaIBFSutAAAWEovForKVK1S2coV+sSJypqnz2i29fKrLTEC9dtrQ5b5b+pu3L+pv3r4oaXQ1vMg0vEhBcvsyCoRiFHETAECSSlcs0U/fvU4/ffc6SZGV8F7sCOnZYKeeC3Sq/Vy3Tnbd0Mm2s2a9yY22pXq8rNSchnfbKkZaL0aLKuFUWVmp+vr6pNsCgYBcLtcc9wgAgPQrXbFEn965Rp/eObpCTfvZ7rhpeKHr8avhWSzS3WsLR2pAleiRrSXaXLyM4HARI24CACRjX5anT+1co0+NxBm9Nwf10qmQOQLq6BlDZ7tv6i/85/QX/nOSpLWF+XrMMToCihV3F4dFlXDat2+fPB6PgsFgwhBwr9ebMqgCAGAhW5qXExnJtK1E+tjoanijCagunbh6TW9d6NVbF3r1nZH6DBttS/XwttFpePeuK1IOweGiQdwEAJiMwqW5+vjtq/Xx21dLkq7fGtQrpwxzBNQrp7t0sbdfzW+cV/Mb5yVJK1cs0aPbSsw6UPeuKyIBlYWyLuFkGIZZV2Asu92uQ4cOyePxqKWlxbzc6/XK4XDI7XbPVTcBAMiY2NXwPv/AFknSxZ6beik6Da8jJP+5bp3tvqnDx87r8LFIcFi0NFcPbSnWIyMFQvdssis/NyeTDwUzRNwEAEi35Uty9cSOlXpix0pJkZHWr5029FxHJAH10skuXb0WP9XfviwvkoAaGQG1a32RcnMWb63JbGEJh8PhTHdiphoaGnT06FEFg0H5/X5Jksvlkt1u1/79+xMCIp/Pp9bWVpWVlZm1CWpra9PSl56eHtlsNnV3d1P8EgCwYF3rH9RrZwxzFNTLp7rUc3Mwrk1+rlX3b7LrUUepHnWU6KEtJSpcujDPZS2m4zdxEwAgk24NDqv97OgIqBdPdqm3Pz7GKMzP1cNbi/VYWak+WrZS5RttyiMBNW9M9vidFQmn+YTACQCQjYaGw3rzQo+eD3bqhY6Qngt26nLfrbg2Vou0e4NNj4ycoXxkW4lWFSyMleA4fmcGzzsAYHBoWMfO95g1oJ7vCMm4MRDXpiA/R49sLdHjZSv1se2lcm6wMQIqg0g4ZQiBEwBgMQiHwzp+9ZqeC3bqhWBIz3eE1BG6ntDujtUFetRRoke3lerRbSXaUrI8A72dGMfvzOB5BwCMNTQc1lsXevRcsFPPBiILnISuxyegCvNz9ei2En10+0p9tKxUuzfYqDM5h0g4ZQiBEwBgsTpr3NDzHSE9H+zU88GQ3rnUm9Bms31ZJAHliCSg7lhdMC9WwuP4nRk87wCAiQwPh/X2xV79KHBVPz5xVc8GE0dAFS3N1WPbSvXR7aX62PaVLHQyy0g4ZQiBEwAAEZ3XbunFkyFzFFT7uW4NDceHHdFVah5xRKbh3bcuM0VCOX5nBs87AGCqotP8fxy4qh+fiEzD6x5TZ9K+LE+PO0an4N2zllXw0omEU4YQOAEAkFxf/6BeOdVljoJ65VSXbg4Ox7UpyM/RQ1tKzGl492+2a2ne7K+Ex/E7M3jeAQAzNTQc1rHz3frRiU49G7iq54KhhCLkJcvz9Lij1JyCd9eaQhJQM0DCKUMInAAAmJzoKjXPBUN6oSNSjHzsGcolOVbdv9luFiJ/eOvsrITH8TszeN4BAOk2ODQs/7lu/TjQqR+fuKrnO0K6dmsors3KFUtGElCRVfB2rpkfU/wXChJOGULgBADA9AwNh/X2xR49HxypA9UR0sXe/rg2OVaLnBtsetRRoscdpXrUUSr7srwZ3zfH78zgeQcAzLaBoWG1n+02p+C90BHS9YH4BNSqFUv00bLICKiPbS/V7atIQI2HhFOGEDgBAJAe4XBYgc7rZg2oZ4OdCSvhWSzSfeuK9FhZqR5zlOoxR4lWrsif8n1x/M4MnncAwFy7NTistrOGfnTiqp4NdOrFkyHdGIif4r+2MF8fLSvV42WRIuQ7Vq4gARWDhFOGEDgBADB7zhg3zGWSnwt26sMr1xLa3LWmUI+VlerxkQTU2qKlE94ux+/M4HkHAGRa/+CQXjttmFPwXjrVpf4xNSbXFy3Vx0ZWwNu7faW2lCzPUG/nBxJOGULgBADA3LnQc1PPBTv1XDCk5wKdeudSb0Kb21at0GOOyFnKxx2l2mhfltCG43dm8LwDAOabmwNDevV010gR8k69fKpLt4biE1CO0uVm8ulj21dqTeHUR1cvZCScMoTACQCAzLnS16/nO0LmCKg3L/RobKTjKF0+Mv0ukoDaWrJMvb29HL8zgLgJADDf3RgY0ssnu/TMiav60Ymreu2MoaHh+ODirjWF+tiOSALq8bL01Jecz0g4ZQiBEwAA80fX9Vt6oSNS/+m5QKf857o1JkbUJvtSPbg2X4cPPM7xe44RNwEAFprem4N6vqNTR45HElDHzvfEbbdaJOcGW2QE1I6VenhriVbkp3+F3Uwi4ZQhBE4AAMxfPTcH9GJHSM91RKbgHT1jaHA4rHD/demPf4bj9xwjbgIALHRXr/Xr2cBoAuqDMfUl83Is+sjmYj2xY6We2L5SD2wu1pJca4Z6mx4knDKEwAkAgIXjWv+gXj7VpR++dUq/597D8XuOETcBALLNue4bkel3xzt15MQVnTFuxm1fnpejR7aVmAmo3RtsyrEurBXwSDhlCIETAAALD8fvzOB5BwBks3A4rGDndR0Zqf/0zPGrunLtVlwb29JcfbSsVE/sWKUntq/UzjUFsljmdwJqssfv7JpICAAAAAAAMA9YLBaVrVyhspUrVP2RLQqHw3rnYq+ZgPpxoFPdNwf1/Xcu6fvvXJIkrSnM18fKSs0RUNtKls/7BFQqjHBKM87UAQCw8HD8zgyedwDAYjY4NKzXz/XoyIkr+tGJq3qhI6QbA8NxbbYULzOTTx8rW6n1tqUZ6u0optRlCIETAAALD8fvzOB5BwBgVP/gkF451aVnTnTqRyeu6pVTXRocs7zuHasL9MT2lXLdtlIfLVsp+7K8Oe8nCacMIXACAGDh4fidGTzvAACk1tc/qBdPhswV8PznuhWbwbFapD2b7Nq7Y5X27liph7YWKz83Z9b7RcIpQwicAABYeDh+ZwbPOwAAk9d1/ZZ+HOjUkeNXdeT4FX1w5Vrc9mV5Vj26rVR7d6zU3h0rtWu9TdZZWAGPouEAAAAAAABZonj5En3mnnX6zD3rJElnjBs6cvyqnjl+Rb7jV3Wxt18//PCKfvjhFUlS6fI8PbF9pfbetkquHSvlKF0xp/1lhFOacaYOAICFh+N3ZvC8AwCQHuFwWO9e6pPv+BUd+fCqng12qrd/MK7N1uJlZvLpie0rtaogf1r3xZS6DCFwAgBg4eH4nRk87wAAzI6BoWEdPWPI92Fk+t3LSQqQ71pfpCd2rJRrxyo9uq1EK/InNwmOhFOGEDgBALDwcPzODJ53AADmRl//oJ4Pdsp3/KqOHL+qNy/0xG3Py7HooS0lIwmoldqzya7cHGvS2yLhlCEETgAALDwcvzOD5x0AgMy41NuvZ05Ekk++D6/otHEjbnvR0lx9tKw0sgLe9pW6c02BLJZIAXKKhgMAAAAAACDBmsJ8/evdG/Svd29QOBxWoPO6fB9eiRQhP3FVXTcG9HfvXNLfvXNJkrSuKF+uHau0d8dK3b9myaTug4QTAAAAAADAImWxWLR95QptX7lCv/LQVg0Nh3XsfLdZ/+mFjpAu9PTrz9vP6s/bzyrcf31St0vCCQAAAAAAAJKkHKtF5RvtKt9ol+eJ7bo5MKSXTnZFVsA7flVHA9c1mdpMJJwAAAAAAACQ1NK8HD2xY6We2LFSknTy4lVt+6OJr5e85DgAAAAAAAAwRsnyydVwIuEEAAAAAACAtCLhBAAAAAAAgLQi4QQAAAAAAIC0IuEEAAAAAACAtCLhBAAAAAAAgLQi4QQAAAAAAIC0IuEEAAAAAACAtCLhBAAAAAAAgLQi4QQAAAAAAIC0IuEEAAAAAACAtCLhBAAAAAAAgLQi4QQAAAAAAIC0IuEEAAAAAACAtCLhBAAAAAAAgLQi4QQAAAAAAIC0IuEEAAAAAACAtCLhBAAAAAAAgLQi4QQAAAAAAIC0IuEEAAAAAACAtCLhBAAAAAAAgLQi4QQAAAAAAIC0IuEEAAAAAACAtCLhBAAAAAAAgLQi4QQAAAAAAIC0ys10B+azhoYGSVIgEFAwGFRjY6McDkeGewUAADD/EDcBAIBYJJxS8Hg8qqurk91ulyR5vV6VlZUpEAgQPAEAAMQgbgIAAGMxpS4Fn8+nUChk/u92u2W329XY2JjBXgEAAMw/xE0AAGAsEk5JGIahYDCoYDAYd3lJSYkMw8hMpwAAAOYh4iYAAJBMVk2pMwxDHo9Hdrtd9fX1Kdv5fD61traqrKzMDIRqa2vN7Xa7XV1dXQnXCwaDKi8vT3u/AQAA5hpxEwAAmE1ZkXDyeDwKBoPas2ePfD6fXC5XyrZer1eHDx9WS0uLeZnP51NlZaVaW1tTXq+pqUkOh0PV1dVp7TsAAMBcIm4CAABzwRIOh8OZ7kQ6lZeXq6KiImnNAMMwtG3bNnV0dJhFLWOvV1NTkzQwil6vvb19wsKXPT09stls6u7uVlFR0YweCwAAmBuL9fhN3AQAAKZqssfvRVXDqbm5WQ6HIyFokqT9+/enLGx54MABHTlyhFVWpqC/v19f//rX1d/fn+muYB5gf8BY7BOIxf4wPxE3zS3eB4jF/oBY7A+ItZD2h0WVcGppaVFJSUnSbQ6HQ36/P6G4ZXSZX6fTOQc9zB79/f36xje+sSDeBJh97A8Yi30Csdgf5ifiprnF+wCx2B8Qi/0BsRbS/rCoEk5tbW0pz7ZFL49dYcXr9aqysjIuaGpqaprdTgIAAMwDxE0AAGAmFlXCyTCMpMPCY0UDJ5/Pp6NHj6qkpER+v19+v19er3cOegkAAJB5xE0AAGAmsmKVunSIBlShUEiGYaiqqkqGYaihoSGu3XgrskhStAb7uXPn1NPTY16en5+v/Pz89HZ6Hos+9tjnAIsX+wPGYp9ArEzsD/39/XFD0Xt7eyWNHscxPuKm9ONzEbHYHxCL/QGxFlLcRMIpCbvdrq6urmldN/rE79y5M51dWrA2bdqU6S5gHmF/wFjsE4g1H/aH3t5e2Wy2THdjQSFuSq/58D7A/MH+gFjsD4g1H/aHieImEk4jokUvUxXHnKz169crEAgoLy9PFovFvHwxnqkDAGC+GnumLhwOa2BgQOvXr89grxYO4iYAABaP6cZNJJzSzGq1sgwwAADAJBA3AQCQvRZV0XCHwxG3mkqsUChktgEAAFjsiJsAAMBMLKqEk9PpNIeAjxUNqGKX8gUAAFisiJsAAMBMLKopdZWVlaqvr0+6LRAIyOVyzXGPsk9TU5MCgYD8fr9CoZBcLlfK5xyLU0NDg5xOJ++3RSwYDMrj8UiK1H+x2+18TixSXq83YRWz+vp6cwU0ZBZx0+wjbsJEiJtA3ISoBRk3hbOM0+kMV1dXJ93W1dUVttvt4UAgkLDN4XCEW1paZrt7Wa22tjbuue3q6gq7XK6w3W4Pd3V1Za5jmDe6urrCknivLWItLS1hp9OZ8FlRW1ubwV4hE2pra8Otra1xlwUCgbDT6eSYMYeImzKHuAkTIW4CcROiFmrclHVT6gzDMOsKjGW323Xo0CEzQxzl9XrlcDjkdrvnootZyev1av/+/XG1HOx2u1paWmQYhqqqqjLYO8wXTU1Nme4CMsjv9+vAgQM6cuRI3GfFgQMH5PV6M9gzzDW/3y9JCWfsHQ6HDh06pAMHDmSiW4sScVNmEDdhMoibFjfiJkQt5LgpK6bUNTQ06OjRowoGg+ZPZWWl7Ha79u/fHxcQud1u2e12eTwelZWVmbUJxg5Nw9QcPXo0aeBpt9tVXV2tpqYmGYYxv4f7YVb5fD6Ggy9yHo9HdXV1CZ8DlZWV2rNnT2Y6hYzw+XwpX3On02kGVpgdxE2ZR9yEiRA3gbgJUQs5bsqKhFNtbe2U2rtcLj7A06ypqUl+vz9pAFpeXi5Jamtr43lfxPx+/5Tfq8gefr9fPp9PLS0tCduqq6sz0CNkWmNjY9Iv3MFgkJXPZhlxU+YRN2EixE2LG3ETxlqocVPWTalDZlRUVKTcFj0bWlJSMke9wXzT1NRE0LTINTY2yuFwcLYekiKjZnw+n6qqqhJWQauvr0+YwgVkG+ImjIe4CcRNiLWQ46asGOGEzBtvaH0gEJDE0smLVTAYJGiGfD6fefaloaFBUmTqSCAQSDpcHNnN4XCYAVL0DK7L5VJTU5MqKysZ1YGsR9yEVIibIBE3Id5CjptIOGHWNTU1MfRzEfN6vZylg4LBoJxOpxoaGuL2h2AwqPLycrW3txM8LTK1tbVyOByqqqpSZWWlHA6HWltb5/WwcGAuEDctbsRNkIibkGihxk1MqcOs8ng8ZkYWi4/X62UVI5j8fn/C/uBwOORyueb16hqYPXa7XbW1tXK5XGbh6vlc+BKYbcRNixtxE2IRN2GshRg3kXDCrPH7/WpqalJraysZ+EUoutT2fM+6Y24l2x/Ky8vl9XoT5qQju3k8HhmGofr6erW2tqqxsdE8c+vz+TLdPWDOETctbsRNSIa4CVELNW4i4YRZU1VVpSNHjnDgXKSYEoCxUn0WRC9va2uby+4gg5qamiQp7sxtdXW1AoGAOVycQBqLDXHT4kbchLGImxC1kOMmEk6YFZWVlWpsbKTg5SLl9/t57RFnMiutBIPBuekMMq6+vj7plCGHw6H29nZJmtdn64B0I25a3IibMBZxE2It5LiJouFIu5qaGnk8nnldLR+zKxgM6vDhw2psbIy7PJp5P3jwoA4fPqySkpKENshOTqdzwsBovGXCkT0Mwxg3iLbb7aqrqyOQxqJB3ATiJoxF3ISohR43kXBCWjU0NKiqqiohaAoGgwoGgwRTi4Tb7U5a9NIwDBUXF6uuro6imIvM/v37VVVVlXRb9ADJNJLFwW63T2rYN/sDFgPiJkjETUhE3ISohR43MaUOaeP1euV0OpMGR36/f96+CQDMPrfbLbvdLq/Xm7CtpaVF1dXVFMldRBwOx7hDv1tbW/mijaxH3AQgFeImxFrIcRMjnJAWfr9fjY2NqqqqMouaSaNDgQ8fPmzOL8XiFT0jEwqFMtwTZEJLS4tqamrkcrnMIKmpqUnBYFAtLS2Z7RzmVEtLi/bu3av6+vq4AMkwDHk8Hnk8HgJpZDXiJkwGcdPiRtyEqIUcN1nC4XA4053AwldcXDzuUD+Hw6FAIDB3HcK84vf7dfDgQQWDQfn9ftntdrlcLlVWVrIiyyLj8/nU2NiokpISc/nnZEUQsThEl/iNVV9fP2+DJiBdiJswHuImRBE3IdZCjJtIOAEAAAAAACCtqOEEAAAAAACAtCLhBAAAAAAAgLQi4QQAAAAAAIC0IuEEAAAAAACAtCLhBAAAAAAAgLQi4QQAAAAAAIC0IuEEAAAAAACAtCLhBAAAAAAAgLQi4QQAAAAAAIC0IuEEYFHzer0qLy9XeXm5mpqaMt0dU0NDg9kvr9eb6e4AAAAQNwGYEks4HA5nuhMAkCkNDQ1yOBxyu92Z7kpS0WCuuro6wz0BAACLHXETgKlghBOArFJVVaWysjJZLBYZhjHl6/t8PpWXl6u4uFhVVVXp7yAAAMA8QdwEYDaRcAKQVVpaWuRyueRwOGS326d8fZfLpfb2djkcjvR3DgAAYB4hbgIwm0g4Acg6Pp9PLpdrRrdRUlKSpt4AAADMX8RNAGYLCScAWSUYDCoYDKqysjLTXQEAAJjXiJsAzCYSTgCyis/nk6QZn6kDAADIdsRNAGZTbqY7AAAz4fF4zL8rKyvV0tIip9M5rToE4/H7/dq7d68Mw5DD4ZDH4zF/B4NBuVwu1dTUqLW1VVLkjKHD4VB9fX3K22xqalJ7e7vZ18rKSgI+AAAwa4ibAMwlEk4AFiTDMLR3717V19ebwUZDQ4N8Pp9qa2vTfn9Op1MOh0M1NTVxS+22t7ervLxcPp9PlZWVcYFSVVWVysvL1d7ennB7VVVVKikpUWNjo3lZNAgkeAIAAOlE3AQgE0g4AViQqqqqVFFRERdkRP+ejToEDQ0NOnTokJxOZ8K2aKHM2IBKkg4dOqTi4mJ5PJ64gKqpqUler1ddXV1x7b1er3nWDwAAIF2ImwBkAjWcACw4Pp9PPp8vblh49HIp/We6ampq5HK5kgZNUclWZ7Hb7XK73Wpqaoq73OPxyO12Jwxfdzqd2r9/f1r6DAAAIBE3AcgcRjgBWHDq6+vlcDjkcDjiLm9tbU1r0GQYhjwej5qbmyUpbhj3ZDkcDhmGIcMwZLfbzb/H9l2SWlpaZtxnAACAWMRNADKFEU4AFpy2trakAVK0HkC6BINB1dXV6dChQ2pqajLPBM5EKBSSJJWWls74tgAAACZC3AQgU0g4AVhQome6ysvL4y73+/2SRoeFR/+fCZfLZQ7vdrvdqqmpmfJt+P1+2e12cxh49AxdIBCYcf8AAADGQ9wEIJNIOAFYUKIByNi5/4cPH5YUmc9vGEZazqrFOnTokEKhUEL9g6joGbhY0X7U1dXFXe52u1P2b2zdAgAAgOkibgKQSSScACw41dXVOnr0qPm/z+dTMBg0z4I1NzfL7XbP+H5igyG73a66ujo1NDQkPQsYDAYTgqEDBw7I5XIlLDd86NAhSUoIwvx+f9IimgAAANNF3AQgU0g4AVhwGhsbZRiGGhoa1NDQIClSONLpdKqhoUElJSVJi0tOht/vV1VVlbmiS1VVlYLBoAzDMItf7t27V1VVVXHXq6iokBRZorehoUE1NTWqrKxUa2trwn3Y7XZzaHhNTY0aGhrU1NSkUCiUloAPAAAgirgJQKawSh2ABSnZyifpWK3E6XSmvJ2J6gdMdaWX+vr6KbUHAACYDuImAJnACCcAAAAAAACkFQknAAAAAAAApBVT6gBghpKttAIAAIBExE3A4sEIJwCYpmihTL/fH1c0EwAAAPGIm4DFh4QTgEXNbrfL4/GorKxMTU1NU7putFBmOBxWOBxWS0vLlAtgptLQ0KCysjLV19ez5C8AAJgXiJsATIUlHA6HM90JAAAAAAAAZA9GOAEAAAAAACCtSDgBAAAAAAAgrUg4AQAAAAAAIK1IOAEAAAAAACCtSDgBAAAAAAAgrUg4AQAAAAAAIK1IOAEAAAAAACCtSDgBAAAAAAAgrUg4AQAAAAAAIK1IOAEAAAAAACCtSDgBAAAAAAAgrUg4AQAAAAAAIK1IOAEAAAAAACCtSDgBAAAAAAAgrUg4AQAAAAAAIK1IOAEAAAAAACCtSDgBAAAAAP5/9u48rq38vvf/W6xekQDveBWzr7bAs2+JxaRZmqQTYadNb5s2Y8jc3La5WVBI720m/d3GgaRLetN2wJM29+Z2MShJlzQb8uxbxiB79lXCHu8LQoA3bOD8/hA6SEgCAQIBej0fDx420ldHXx0d6Xz4nO/38wWAtCLhBAAAAAAAgLTKy3QHMHOqq6sVCATk8/kkSd3d3bLZbGM+xuv1qqqqSpLkdDrlcDjU0NCg5uZmtba2yuv1SpIcDod27Nihuro683FNTU3yeDySJLvdLqfTqaamppht19bWKhAIyGazafv27TH3j8XtdisUCpm/l5eXq66uTo2NjXK5XLLb7SltB1IoFNLOnTtjjg2n0ym73a7q6mo5nc60Pt90vXeBQMA8xu12uzo6OtLU46kLhULatWuXSktL1dXVJZ/Pp6qqKvPzMlpjY6O6urpUWloqv9+vqqoquVyuKbdNZirbqKioSLiva2trJUnBYFBVVVWqqamZUJ+ieb1eud1uBQIBOZ1Otba2Tnpbc12y/V1VVWV+DzscDgUCATU1NSkUCqX8vSpNz7GXzmMBmEnETUiEuGn6ReKmUCikQCCgYDCo+vr6uHOMz+fTrl271NDQMKH90NzcLL/fb/5eXl6e8rlpsjFd5LEVFRUJn4u4aepSPW4iGhsb5ff7ZbPZFAgEtGPHjknH0JHnT/b+Rvdx586dYz7XvIubDGQdl8tlSDIaGhrGbdvU1GTYbDbD4XAkvN/hcBiSjO7u7oT319TUGJKMtra2pM9ht9sNv9+fUt8jz9na2hpzm9/vN1/XRLaFEd3d3YYkw263T9tzzMR753Q6kx6vmdDd3W3U1NTE3Waz2QyXyxXXvqamJu6z6XQ6jaampim1TWYq24h8vhPdHv1eNjU1TahPyTgcjoT7LFsk29+GMfJdHP3jdDonvP10H3vTdSwAM4m4CYkQN02PSNwU/Rnp6OgwJMXFAK2trXHnvtE/0eec7u7uuHNVR0eHYbfbjY6OjpT7Nvq2sWK60e9RU1NT3DaIm6ZuIseNYYSP+9Hvg91uj/u8jSXV99cwwueRmpoa8zs+2fPMx7iJhFMWqqurM5xO57gnyO7ubqO1tdWw2WxJ/3BpamqK+zKP1tbWZkgy6urqkj5PKgFcdNtkX5x+v5/AaYokTVvQMVPvXU1NzawKnCKfkdF/PCQKFiMnxtES3T6RtslMZRsdHR3mH06jJTrRJrptopxOZ9YETqONtb8NI3w8RT5jdXV1Y/6xmmz703HsTdexAMwk4iYkQ9yUfnV1dQkTsg0NDXHxVENDg5k4GP3jcrniXlfkj/5obW1ths1mS2lfTiSma2trS/o5djgcMa+RuGnqJnLcRN7H0e0j39+pmMj7Gy3y2R0r4ZTKbXMJNZyyVGRIdmRodyItLS3jDivcvn27JCUdqhkIBCSFh64m4vV6JzT0uK2tLemQWbvdPuFhkJg52freVVZWJpyCUVJSIkkxw+SbmprkcDji2kZui0y1mGjbZKayjT179mjHjh1xt4dCoXGnnGDiku3viJKSEtXV1am1tVUNDQ0TntIxHccexwLmE+ImzLRsfe88Ho8qKiribo8c99Gfna6uLrW1tampqSnup6SkRHv37jXb+nw+eTweud3uuO12d3enNCVvIjGdz+czP8+j2e128z7OlekxkeOmoaFBDocjbr87HA6FQqGUYuhU39+JmK/HAgmnLOVyuWSz2SZU2yMRm80mp9Mpr9cb8yUb4ff7VVNTo1AoZM5zj+bz+RL+4TKWsYK9SN0EzE7Z+N45HA51d3fH/YHg9Xplt9tjjv/IbYnYbDa1tbVNqm0yk91GY2Oj6uvrkz4uMnc+IlkQgNSMtb/TZTqOPY4FzCfETciEbHzv7Ha7gsFg3O2RP8Sj70u2Dzwej6qqqmL+eN+1a5dsNtuU6pVNJKaz2+3yeDwJk8fRn2POlekxkeMmEAiYScLR25CUUgyd6vs7EfP1WCDhlMW2b98uj8eTMODx+XwpX0Grrq6WFL6yFy0UCqm8vNy8f8+ePVPr8PBz+Xw+1dbWJux3TU2N+WXh8/lUUVGh4uLimA9qstu9Xq95u9vtls/nU2Njo6qqqswvlIqKClksFrNN9GOLi4tlsVhiTn6hUEi1tbVqbGyU2+02+x8x1jY9Ho8sFkvcNmejxsZG88ftdif88p3IexdRVVU161/7ZHg8HgWDwbgr3MlOgFL46ll7e/uk2iYzmW34fD7Z7fYxr8A0NDSooaFBtbW15qiAdBY8jHw2I8fb6KuV80kq+3t0++bm5oR/qI5luo696T4WgJlE3ETclC7ETcm1tbWpu7s77vbIcbB161bztkSfuUAgoH379sWNAIsURw+FQuPu+4lIFtNFCrrX1taqqqpKoVBIoVBI1dXVcW2Jm6ZuIsfNeFKJoSfy/k7EvIybMj2nDzMvMt80Moc0UR2B6NvGqkVgGCNFE0e3aWpqMuev2my2uDmxbW1tKRXoG83pdJqFAO12u1FTUzNmgTeHw5FwbnqyIomRbUZqJNjt9pj5z6N/j6irq4vZb36/37DZbDGvMdFtkW0m2sejtzndNIlaBIkKWtbV1SUt0DeR985ut0+4GOdsq0UQ4ff7zXoMTqczbm535HOUbJ62w+Ew98VE2iYz2W1Ez1ePzIufKU6n07DZbHHHTFNT06x8z9Mh1f09unZTW1ub4XA4UqpJMdPHHjDXEDeNbIe4KRZx08yJxADJauNEJKtZFPnMja6Blqiu03jGi+kiIkXKI+/hWLV9pkM2xk2jJTpu7HZ7wtc/0YUAJvP+jlfDaT4i4ZSFov+ASRZURH8IxgucDGPkhBj9IYt+nkhF/uiAYSJFL0eLfFFGPuCSEgYkhmEkLBo41u2jv5hGf3Ek+6NvdOG4ZIX6IienyWxzuk00cKqpqUl6bCQ6wRnGxN67yZho4FRXV2cGaBP5meyJoru722hoaIhbEWUuJJwaGhpiPg+ZSDgle2/tdnvKn5eZfs8nayL7O9EfWJHjbDwknICxETeNfTtxE3HTdJ9DI8X0x9tGa2trws9J5NylBIXWIwmAiS62EdluopguWlNTk1lUXElWTJsu2RY3jZbsuEn2/RFZ9XAiccxE318STsgK0V8ukSr90V++oz8AqQROo1dd6e7ujvkDKNGqK1MJnKJFVgmIfNBHBzrJTqTJbh9vedjISWv0MqvRryfSJtFrjCyZPNFtzoSJBk7JrvQaRjhAHO8Le7z3bjLmypW6yB8T0Z+9sf6QH33VciJtk5nINjo6OlI+YU8Xp9OZ9LuopqYm5ZVF5oJ07O/IqnGpBDUzfewBcwlx09i3EzcRN003m82W0sg1u92edGTvWImEqSaCEsV0hhH+bES+H/x+v5lottvtMzLSKZvipkTGOm4cDkfcfZFV6lL9PEzm/c3GhBM1nLJcZE5oQ0ODeVuigmvjGb3qSktLi3mbFJ5jbbPZzHnSXq93UsXUEnE6nWpoaDALvO3atWvK20xWn0QaKfgZXTi0ubk5Zn5tZO6v3+9Xc3NzzI8Uu7+TbbOlpWVCc3YDgUDCn3SLFLCMzIkeq5bLeM8/He/dXBGp0ZHqPPpgMJhyHZ+JtE11G3v27JnVK+JECi0mqnORCeXl5SouLk75p7y8PObzko79PZHil2OZ6WMPmM2ImxIjbkqOuGlqqqurVV9fP+57G1k1bKyi4MnOTzabbUrvfaKYrra2VtXV1ea53G63myvqBQKBjNdRmm9x02jjHTcdHR3y+/0x9dRcLpdCoZAqKyvH7e9sf39nk7xMdwCZ53K51NLSYn5AUvmQjWaz2eRwOMxVV/x+f9yX+vbt281itj6fT3V1dRN+HrfbHRd0RDidTjmdzgkXy01kvD+YIl8ykRNbV1dXzGMiwURVVVXKfzSO3maifTiW0YU1IwzDSHkbqYgURp1ogD1T791sU1FRoZKSkrg/+iPHSPRrttlsSffr6BPgRNomk+o2PB6PWbg0WuQPhMjtDQ0NJBuG+f3+ST92ovs78r3R0dGRcHupfFZn+tgD5jLipnjETckRN02e2+3W1q1bUzr2m5qaxkw2RQqGJ5Jq0mUiMV1zc3PCYymyCmU6FgWYT6YSN42W6nEz+vMVOQ7Ky8vHfQ7e39RlbcIpFArJ6/XK7XYnPcCjVy3w+/2qr6+fl39M1dbWyuPxmKssTLYSfqSa/q5duxJ+UKurq9Xc3KympqaUPsiJjHdidTgcKV+hmMwVyYjo5ZF37NgRt/JB5CrkRK6WRAKspqYm1dbWTmg1BUlJ/9hMp+jl0CMBdrLXGAwGY0786Xzv0sntdo+57HAy9fX1KQXFkVXGRoscf9FXrLdv3z7myhjRK89MpG0yqW7D5XIlfK21tbXy+XxTXiY8HUKhkGw2W0rf0dP9nk/VRPf3eMdYKt8lM33sYW4idgojbpo44ibipomeQ5ubm1VaWhqXNBg9Oi7C6/WO+V3jdDrjVoaMlkrieCIx3VhcLlfGExLzKW6KNtHjJlrkNU51VbjZ8P7OKpmd0ZcZHR0dRlNTk1kYLJHW1taYubzd3d2zfn5zqhIViIus9pFonmsqtQgMI7YgX7J5qzabbdKF+Qwj8Xzb0fePnhNbU1OTcM52slojyYpWjlZXV2fYbLakBfciBfYSSVb/JDKfeqZrEERonFoELpcr5r1LVkA0sq3o92oy791kzLZaBMlWL4nUYIh+zZGaHaPbJ7p9Im2Tmeo2IjULZspYdUIy+bmZKcn2d7LvoEjNp3QfC+k49jD3ZHPsRNwURtwUj7hperS1tSV9T5PdrgQrP0aL1M4ZXWcpUu8wlSLsE4npHA5H0s9tU1PTjByz2RY3pXrcRGo1jX4vE61imMxk399srOGUlQmniMgbnojD4Yj74nE6nZM+4c8WkYJmo431h8l4J9NoyVZviZhqgTqHw2Eu/51oFZREry3yR1C01tZWc1WV0cYqsBctcvyMtcKDw+GI+8JpbW1NehxFTnozvcqKYYwEvsnev0QFEbu7uw273R4XECVahWUy791kl/edTUWL/X6/4XK5Yl5z5NhJFEBH9lG06KKEk22bbF9OZBuJHjvZhJPNZpvw+xT5o2b056euri6lz+xcl2x/d3d3xx1LHR0dSVc8SsexMJXjBnNbtsVOxE1hxE3xiJumh9/vN+x2u1FTU2PU1dUZdXV1Rk1NjbmPEp1nIu/FeMdhonjB4XAkTSqP3i8TiekiryNRgmsyBcqJm8Y2keMmsvJjtLq6uqTvS7JjYTLvb+Q7K5Ui+POFxTDSPFF5DgkEAiovL4+bfxkKhVRcXKzu7u6YYYaRuhmzYfrIZFRXV5u1Aux2u2pra83hhqFQSDt37jSLV0rh1xsIBMzhhS6Xa9z5sJGh9MmGInq9XrW2tk56H9bW1po1E5qamsy5tsFgcMy+NTY2at++feZwa4fDodbWVrW0tMhut6u+vl52u127du2Sx+NJ+fVWVVWNO2c8UjSutLRUUnhI71hDbsvLy9Xa2pq24qDjibz3gUDAHL7tcrlUUlKiYDCoUCik9vZ2c18n+sqIfo1+v18VFRVxx8Bk3rtkc+UTiRToixzjLpdLtbW1cjqdE9kd0yIUCsntdpsFGgOBgGpra5MOM25sbFRXV5e5P8eqaZFq27H25USeTwp/ztva2szPisPhUGVl5YQ+1xUVFWbdobE+P9Ei9Sy8Xq/a2trGPN7mk1T2d/QxFpliUV9fn/B7JF3HwkSPG8wP2RQ7ETcRNyVC3DS9xisG3dHRkfC9Li4uVk1NTdK6VxGRc2rk/dqxY8eE4qaJxHSBQCCuP+Xl5ZOqx0bcNLaJHjdutzumdtdY+yTZsTCR99ftdpvfGYFAwFz4oKSkZE6eHydiziScoj/cY32RRD5Q5eXl5kGU7EOdLGjy+XyqqKiIu93tdsvn8015xR9gLGMViQTmk0igPlN/JADZhtgJ2YC4CdmCuAlz0awvGh7JBm7dulVer3fMrLvH49GePXtirjZ5vV5VVVVNKNAZqyjiVAomAuMJhUKTLgwKzDXt7e0xy4ADSA9iJ2QL4iZkE+ImzEU5me7AeBoaGtTa2qq6uroxq+hHhrfu3r075vbIMqTRq6akKtUlMoHJ8vl85rBqSWppaeFEgqwRWSEFQHoRO2G+Im5CNiNuwlw06xNOqYrMKU/0IdyxY8eE5kaWlJQkvD0UCiW9D5iMPXv2mLUPIscXJxJkA/4oBTKP2AlzDXETshVxE+aqWT+lLlWtra1JAxq73S6fz5dyVjhSiC0YDMa0DwaDzJlFWtXX10sKF+eUktfMAOab5uZmjncgw4idMNcQNyFbETdhrpo3Caex5rRGgqBAIJBS0GOz2eRwOBQIBGJWAYisQgCky3iFXIH5iqAJyDxiJ8w1xE3IVsRNmKvmzZS6VK7AjV4qcayhifX19TEFNCNtM71UKAAAQDoQOwEAgOk0b0Y4jSUSTEVWSQkEAvJ4PObqK9XV1dq6datqamrMti6XyyyYWVJSon379mnv3r2Z6D4AAMCMInYCAABTlRUJp9Hsdrvq6urGHZpYU1Nj/t/lcqW07aGhIR08eFD5+fmyWCzm7YWFhSosLJxchwEAQFr19/erv7/f/N0wDF2+fFkbN25UTs68GQCeNtMVOxE3AQAw+002bsqKhFNkSPdMrJJy7NgxlZeXT/vzAACA9Dt8+LDWrl2b6W5k3EzFTsRNAADMXePFTVmRcJpJS5culSS9/vrr5v+l7LtS19vbq3Xr1unw4cMqKirKdHeQYRwPGI1jAtEycTyMvlLX19en6667LubcjelH3DSC70VE43hANI4HRJtLcdO8STjZ7fa4wpYRkfoD0aumTJfIcPCysjK+DCQVFRWxH2DieMBoHBOIlsnjobe3V5JipnXNd7MhdiJuisf3IqJxPCAaxwOizYW4ad4UKXA4HElXTokEU6ks6wsAAJANiJ0AAMB0mjcJp6qqqqRX6fx+P0vyAgAARCF2AgAA02neJJy2b9+uYDCYMHDyeDyqra3NQK+yV2Fhob72ta9lXf0FJMbxgNE4JhCN4yEziJ1mFz4HiMbxgGgcD4g2l44Hi2EYRqY7kary8nI5HA61trYmvN/j8WjPnj0x93s8HjU1NamtrW1G+tjb2yur1aqenh7m1wIAMEfM1/P3bI+d5ut+BwBgPkv1/D3ri4Y3NjZq3759CgQC5k9VVZVsNpt27Nghl8tltnW5XLLZbHK73SovLzfrEsxUsgkAACDTiJ0AAMBsMKdGOM0FXKkDAGDu4fydGex3AADmnlTP3/OmhhMAAAAAAABmBxJOAAAAAAAASCsSTgAAAAAAAEgrEk4AAAAAAABIKxJOAAAAAAAASCsSTgAAAAAAAEgrEk4AAAAAAABIKxJOAAAAAAAASCsSTgAAAAAAAEgrEk4AAKRRKBRSbW2tysvLZbFY1NjYOGZ7n88ni8Wi4uJi1dbWyufzqbm5WVVVVbJYLCovL1dtba3Z3uPxqLq6OuYx0Zqbm1VeXq7i4mJVV1eP21e32232taqqSm63O6ZN9P3V1dUKBAJxrzHyOLfbrdraWlVXV6u2tlahUGjM111bWyu3263Gxkbz8WM9BgAAzC/ETfM8bjKQVj09PYYko6enJ9NdAQBkUGtrq+FyuQy73T5mu6amJsNutxs1NTVx90kyXC5XwsfZ7XbD6XQmvK+trc1oaGhIua9NTU2GJKOjoyPh/X6/P2H/WltbDUlGd3d33H01NTWGzWZLeF9dXZ3hcrni7uvo6DAcDofR1taWct/ThfN3ZrDfAQCGQdw0X+MmRjgBADBNamtrFQgE5PP5krYpKSlJep/L5ZLX6014n8PhkNfrTXhlKxAIqK6ubsL9tdlsCW+32+0qLy+f0LYaGhrMK4HRGhsb5fF41NraGvd8DodDDQ0NqqqqUiAQmNDzAQCAuY24af7FTSScAACYJna7XU6nU7t27Up4v8fjkcvlSvr4yPDqZMGTJLW0tMTdNhuGV0eComAwaN4WCATkdrvV0NCQ9HFOp1Mul2vcYe0AAGB+IW6af3FTXqY7AADILoZh6PylwUx3Y1yLCnJlsVimvJ3I3PxEooOKRJxOp2w2m5qamuR0Os3bfT6f6uvr5fP51NraqpqaGvO+QCAgh8Mx5X5PlcfjkaSYWgmRgGmsYFGSduzYoerqanm9XvN1ezweBYNBlZSUKBgMqqOjQ9XV1TH7BQCA+Ya4aQRxU2KzOW4i4QQAmFHnLw1q6R//LNPdGFffn31Qiwunfpp0uVyy2Wxqbm6OC3AqKyvHffz27dvV3Nwcc5vX61VdXZ1cLpcaGxsVCoXMK2NerzfmeWZaKBRSS0uLGhoa1NraGhPYtLe3Jx1+Hs1ut0uS2tra5HQ6FQgE1NbWpqamJrPNeEVFAQCYD4ibwoibkpvNcRNT6gAAmGbbt2+POelL4QAnlStqkat80cPDI8FH5CpY9PDwTAwLb25uNn9aWlrk9/vlcrnMACgiEAiMWXthtMhr8fl8cbUJxrvaBwAA5ibiprD5EDcxwgkAMKMWFeSq788+mOlujGtRQW7atlVbW6vm5mYFAgEzmEg1gBg9PNzn85lX+Ox2u+x2u5qamlRTU5OxYeE1NTVxV+B8Pp8qKirMvkkyh3WPJ9Imsk2n06mdO3eqvLxcLpdLVVVVcjqdcYEZAADzDXETcdN4ZnPcxAgnAMCMslgsWlyYN+t/0lGHIMLhcJgriUiKmWOfiu3bt5tz+0df4XO5XPL5fGaRzMnMzY8Ecem8yudwOORyuWJqETgcDoVCoXGfJ7I6TVVVlaRwANXZ2Smn0ymPx6OqqiqVl5fPiiKfAABMJ+Im4qa5HDeRcAIAYAbU1taaQ7ijawekIjI83OPxxD0u0fDwiYoEYsmW1PX5fJO6KhZ5TCQQqq+vlzR+X/fs2WOuVBN5fORqpd/vl9/vl91uT7qKDQAAmNuIm+ZH3ETCCQCAGbB9+3aFQiE1NjZOKGiSRoaHu93uuIKZkeHhDQ0Nkx4qbbfb5XA41NbWlvD+PXv2TOoKYCRgigRmDodDdXV1crvdSR/j8XjMVWQiAoFATC2GyHD4yPYBAMD8Qtw0P+ImEk4AAEyDQCAQc+XLZrPJ5XLFLdWbqu3bt0tSwloDtbW1CgaDU1rqtrW1VS0tLTEBihQubLl169YJB3sej0der9ccDh/R0NCgmpoaVVVVxQ3t9nq9crvdamtri3udo7cTCATMoeMAAGBuI26an3ETRcMBAEijUCgkt9utlpYWlZSUyOl0miut1NfXxwQmHo9HbW1tCgQCamlpkc1m044dOxIGR9XV1UmDF5fLJb/fP6V+2+12dXZ2moFLRKTQ5OjXuGvXLrM+ws6dO82rhKFQyAwYI8vzjtbQ0CCfz6ddu3aptLTUvL2rq0sdHR0JX2d1dXXMVc5QKKS6uropvWYAAJBZxE3zO26yGIZhzPizzmO9vb2yWq3q6elRUVFRprsDAABSwPk7M9jvAADMPamev5lSBwAAAAAAgLQi4QQAAAAAAIC0IuEEAAAAAACAtCLhBAAAAAAAgLQi4QQAAAAAAIC0IuEEAAAAAACAtCLhBAAAAAAAgLQi4QQAAAAAAIC0IuEEAAAAAACAtCLhBAAAAAAAgLQi4QQAAAAAAIC0IuEEAAAAAACAtCLhBAAAAAAAgLQi4QQAQBqFQiHV1taqvLxcFotFjY2NY7b3+XyyWCwqLi5WbW2tfD6fmpubVVVVJYvFovLyctXW1prtPR6PqqurYx4Trbm5WeXl5SouLlZ1dfWE+lpVVaXa2lq53W7V1taav4dCobS/RgAAAOKm1F7jnGUgrXp6egxJRk9PT6a7AgDIoNbWVsPlchl2u33Mdk1NTYbdbjdqamri7pNkuFyuhI+z2+2G0+lMeF9bW5vR0NCQcl+bmpoMSYbf70/av46Ojrj70vEaZwvO35nBfgcAGAZxU6JtzIe4iRFOAABMk9raWgUCgTGvTJWUlCS9z+Vyyev1JrzP4XDI6/XGXUWTpEAgoLq6upT7OVYfampq5Ha7tW3btoT3T/U1AgAASMRNqWx/riHhBADANLHb7XI6ndq1a1fC+z0ej1wuV9LHR4ZlJwueJKmlpSXutkTB1FTU1NSopKREbrc77r6pvkYAAACJuEmaf3ETCScAQEac6x9I+nPx8mDKbS9Moe35S4nbpVNtba08Hk/C+4LB4JiPdTqdstlsampqirnd5/Opvr5edrtdra2tMfcFAgE5HI6pdTpJX5LVHJjKawQAAOMjbiJumovyMt0BAEB2WvrHP0t634euWaGfPHir+fvKh3+p86OCnoh77aV6/L/eYf6+6Rt7debcpYRtK9da9eLn7zF/v/5bT+hQ94W4dkPf/vVx+58ql8slm82m5uZm1dTUmLcHAgFVVlaO+/jt27erubk55jav16u6ujq5XC41NjYqFArJZrOZ90U/T7qUl5eb/bbb7TH3TfU1AgCAsRE3ETfNRYxwAgBgmm3fvj3uapvX603pilpkxZTo4eGRICmy0kr08PB0Dwsf/ZyBQCDh/VN5jQAAABHETfMHI5wAABnR92cfTHpfbo4l5veTD9+ftG3OqLadX01cpDFR29e+fJ8MY6xepkdtba2am5tjrnKlWhAyeni40+mUz+czr37Z7XbZ7XY1NTWppqZm2oaFSyMB2eirdBFTeY0AAGBsxE3ETXMRI5wAABmxuDAv6c+C/NyU2y6cQttFBYnbpZvD4ZDD4VBDQ4Ok8BUsp9OZ8uO3b99uzvUfffXL5XLJ5/OZRTInst2J8Pv9kpIHTlN9jQAAIDniJuKmuYiEEwAAM6C2ttYcwh1dOyAVkeHhHo8n7nGJhodPB6/XO+6qKVN5jQAAABHETfMDCScAAGbA9u3bFQqF1NjYOOGAIjI83O12xxWTjAwPb2hoSHoVbao8Ho8CgYB27949ZrupvEYAAIAI4qb5gYQTAADTIBAIxBSKtNlscrlcZk2Bidq+fbskJaw1UFtbq2AwOOmh2GMtwevxeOR2u9XR0REXDKX7NQIAgOxE3DQ/4yaKhgMAkEahUEhut1stLS0qKSmR0+k0VyGpr6+PWTXF4/Gora1NgUBALS0tstls2rFjR8LgqLq6OunVL5fLZdYKmExfI32qra01nzsSENnt9rigabpeIwAAyC7ETfM7brIYxkzUmc8evb29slqt6unpUVFRUaa7AwAAUsD5OzPY7wAAzD2pnr+ZUgcAAAAAAIC0IuEEAAAAAACAtCLhBAAAAAAAgLSiaPgYPB6PWYHe7/fP6WJdAAAA04m4CQAARCPhlERzc7OcTqfsdrt5W3V1tXbv3p202j0AAEA2Im4CAACjMaUuidbW1pigSZKqqqrU3t6eoR4BAADMTsRNAABgNBJOY3C73TG/d3R0qLKyMkO9AQAAmL2ImwAAQLR5NaUuFArJ7XbLZrOpoaEhaTuv16u2tjaVl5crFApJkurq6mLaNDQ0qKKiQl6vV62trfJ6vaqqqmJYOAAAmBeImwAAwHSaFwknt9utQCCgrVu3yuv1yul0Jm3r8Xi0Z88etba2mrdFgqK2tjbzNofDoY6ODlVUVKi8vFw1NTVqamqa1tcBAAAw3YibAADATJgXU+oaGhrU2tqqurq6Ma+khUIh7dy5U7t374653el0KhgMqrm5OaZtU1OTOjo6VFNTo+bmZlVVVU3XSwAAAJgRxE0AAGAmzIuEU6paWlpkt9sTBlc7duyIuRJXXV2thoYGORwOM4Bqb2+Pq08AAAAwHxE3AQCAqciqhFNra6tKSkoS3me32+Xz+RQKheTz+eICLIfDYdYkAAAAmO+ImwAAwFRkVcKpvb09bsneiMjtgUAg6fDyysrKpI8HAACYT4ibAADAVGRVwikUCo27WkogEJDdblcgEFAgEIi5r7m5WfX19dPYQwAAgNmBuAkAAEzFvFilLh0iAVUwGJQUHka+a9culZaWSpK6urq0Y8cOORyOlLbX29sb83thYaEKCwvT12EAADBp/f396u/vN38ffd7G2IibAADIHpONm0g4JWGz2dTQ0DDpx69bty7m96997Wt6+OGHp9grAACQDrt27dLXv/71THdj3iBuAgBg/pps3ETCaVgoFJKkpMUxJ+rw4cMqKioyf+cqHQAAs0d9fb2+8IUvmL/39vbGJT2QHHETAADZY7JxEwmnaVJUVBQTOAEAgNmDKVuzC3ETAACz12TjpqwqGh4paplIpAYBq6kAAAAQNwEAgKnJqoSTw+Ewh4CPFgmoUi1uCQAAMJ8RNwEAgKnIqoRTVVVV0it1fr9fTqdzhnsEAAAwOxE3AQCAqciqhNP27dsVDAYTBk8ej0e1tbUZ6BUAAMDsQ9wEAACmYt4lnEKhkFlXYDSbzabdu3fL7XbH3O7xeGS32+VyuWaiiwAAALMCcRMAAJgu82KVusbGRu3bt0+BQMD8qaqqks1m044dO2ICIpfLJZvNJrfbrfLycrM2QVtbW4Z6DwAAMHOImwAAwEywGIZhZLoT80lvb6+sVqt6enpY3hcAgDmC83dmsN8BAJh7Uj1/z7spdQAAAAAAAMgsEk4AAAAAAABIKxJOAAAAAAAASCsSTgAAAAAAAEgrEk4AAAAAAABIKxJOAAAAAAAASCsSTgAAAAAAAEgrEk4AAAAAAABIq7yJPuBHP/qRgsFg2jtSUlKiBx54IO3bBQAAyBTiJgAAkK0mPMJp165dkiTDMNL643a70/7iAAAAMom4CQAAZKsJj3AyDEMPPvhg2jvS0NCQ9m0CAABkEnETAADIVhMe4bRjx47p6Idqa2unZbsAAACZQtwEAACylcUwDCPTnZhPent7ZbVa1dPTo6Kiokx3BwAApIDzd2aw3wEAmHtSPX+zSh0AAAAAAADSKqWE06OPPqqHHnpIjz/+uHnbBz7wAeXm5urKK6/Uj3/842nrIAAAwFxC3AQAAJBC0fBvfetb2rVrl+x2u5qbm9XU1KR3331Xfr9fO3fuVFdXlz7zmc9Ikn7jN35j2jsMAAAwWxE3AQAAhI2bcPL7/QoGg+bvn/3sZ1VcXKx33303pt1DDz1E4AQAALIacRMAAEDYuFPqKioqYn5vaGhQZWVlXDu73Z6+XgEAAMxBxE0AAABh4yacQqGQDhw4oG9/+9uSJKvVKqfTKUk6ePCgDh48KEnq6uqavl4CAADMAcRNAAAAYRbDMIyxGvT09Gjnzp3q7OzUvn37Yu67//771dHRoe3bt6uurk6bNm2a1s7OBSzvCwDA3JOu8zdx08QQNwEAMPekev4eN+E0lp6eHrW3t2vbtm2T3cS8Q+AEAMDcMxPnb+KmeMRNAADMPamev8edUjcWq9UaFzTt3btXO3bs0I9+9KOY23fv3h13GwAAQLYgbgIAANlkSgmn0R577DG1tbWpo6NDe/bsiblv586d2rRpkx577LF0PiUAAMCcRNwEAADms7QmnNra2vTNb35T7777blzgJElbtmxRIBBI51MCAADMScRNAABgPktrwikVoVBopp8SAABgTiJuAgAAc1VaE07d3d3jtvH7/el8SgAAgDmJuAkAAMxnaU04VVRU6KGHHlJfX1/C++vr62Wz2dL5lAAAAHMScRMAAJjP8tK5sZ07d6q6ulo2m03V1dXatGmTSktL5ff75fV6JUnvvPNOOp8SAABgTiJuAgAA81laE06S1NraqubmZn3lK1+JqTvgcrm0e/fudD8dAADAnEXcFPaUv0sf2VKU6W4AAIA0shiGYUzXxnt6ehQMBrVp06bpeopZp7e3V1arVT09PSoqInACAGAumA3n72yOm/Tf/kXVW8v1rY9cpw0lizLdLQAAMIZU46ZpXaXOarVmVdAEAAAwWdkcN+VYJM/Lx3Vt4+N6+Bdv6fylgUx3CQAATFHap9RF6+3tlSRG+iBjhoYMDQwZMmTIMCRDUvSgvoLcHOXlhvOuA4ND6h8YSrqtgrwc5Ue1vThG28JRbS9cHrttQV647eCQoXNjBNmFeTkqzMs1256/NCiLRbJI4X8tFvP/eTk5ys2xSFGv2WKxJN02ACCzsjluevpzd+p/PPaenvB36U/b3tb39x3Wt3/9On3iptWcuwAAmKOmJeFUX1+v5uZmsxaBzWbTV7/6VX3xi1+cjqeblf79tRNasOishgxp0DA0NPyTa7HotxxrzXY/ef2kDgbPD98fTiJE/m/I0Ffef6XZ9p98R/TayT4NDsncXrh9+Pe/+Oj1ZpJj9wuH9PzB7qjnjt62oe9/couWFIbf/r9+OqCfvnEq3HZ4e9GP+/Gnt2rl0kJJ0l886df/6zhi9s8wJGP4+Q1JP/nMLbKXLpYk/dVTAX332c6R+4cfMzT8mJ8+eKtuWlNk9uF/ed+RMbydcBtjOEEUbnvnphJJ0t8+e1Bf/I/XYp7XGO6rFG77a9eskCT9w77D2tn6UtL3qfV3KvSJm9ZIkn74ynH95v/zJW37/U9u1u9UrpMk/ezNU/rYP+xL2vZvHrhRD92xUZL0VCAoZ9PzSdt+6yPX6Yv3lUuS2g+HdPv/fiZp24fvv1p/cv9VkqTXT/bp5j9/MmnbL99XroaPXCdJ6gye1xW7HjPvG0lShRNUD92xUd/5+A2SpFN9/dr0Da8ssgwnsTTyf0mfcqzVdx+4UZJ0rn9A9m/sjUt2Rdr/+nUr9befuElSOPl3xa694XZRz59jkXItFt1bXmq2laS7v/uMLg0ays0Jt8mxjPy7ucyqv/jo9Wbb3/5Hn/r6B8LbyrEMtw23L1+2WP/fr11jtq37yevqvnBZuVHbyxl+jrKiBfry+64w237n6YDOnLs03NainJyRfpQsKlDNbRvMtnsOHDXb5uValGuxKDcn/LO4IFcfv2G12faFQ90KXbis3ByL8nJi2xbkWuRYazPbHu25oAuXhxJsN5xUtC3MN9sODRnmewFg7iBukm5YXaS9n71dP3z5uL70H6/rvdAFbf9Bh+4rL9V3Pn6DblydfUk4AADmurQnnCorK+Xz+eRyuWS32yVJHR0d+vKXv6y2tjb9/Oc/T/dTzkr/5Z/2y1IYX4NgcUFuTMLpb57t1C/eOp1wGxaLYhJOP3rluH70yomkz9n4keuUHx78omc6g/pBx5GkbR9xDZoJpzdOndUv307cB0m6eHnQ/P/Rnos6cKw3advoEULB85cU6DqftO2lwZG25y8P6sy5S0nbDgyNtB00jDFHIkWPYJrPf3dPpPra6LaR0V6RO4aiGgwZxpgjss5HHQ+DhqHTY7xvwfOXR55T0sHuC0nblg8nKiP2He6JOUai5Yx6Y3/25il1X7icsO2t620xCad/2X9UR3ouJmx7w6qlMQmnR547qLdOn0vY1l66KCbh9K3H/fId7UnYdsWSgpiEk/snr+vpzmDCtksKc9X7Zx8yf3+w5aUxvyMGv/Xr5u/bf9CuH71yQpbhJF5ezkgiK9di0ZE/qdLC4S+JL/77a/q3106YCay8qHa5ORb9ouY2M5n1nacD+tkbp5SfG26Xl5OjPPP/Fn3r16/TssXhpPS/v3ZCTweC5v35o9r+buU6lS4ukCQdONqjV0/0mfeF2+WYv9+y3qaiBeE+nOzr14m+i3Hbi7QvXpRvJtxJvGEuIW4K+19tb2vB4iWSpN9ylOm5g0E9d7BbT/i7tPnPn9RDd2zUn/7a1Xrr1Fk97u9S5NM9+qLIJ7eUaZ1toaTwd8zj/jOyDLeOvtghSR+9bqVZL+rNU316/N1R27VYzN+dVy7XptJw286u83oyMLqtzOe5Y2OxefHteO9FPXcwqJzhiy3RF0RyLBZdt3KJ1heHtxu6cFkvHetJ2natdYFWFS2QJJ2/NKDO4IW4CzKR/9sW5ss6/B0+MDik4PnLUduMbZufOzLS2hi+QMh3KAAgHdKacPrKV74iu92uvXv3hgtARgmFQqqpqdGjjz6qBx98MJ1POyvdut6mwkVLzJN5ZNTFwvzYsll3bSrR0sI88/7cmBEXFhmGYZ7wP3jNSpVZF5ojPnKjRmbkWsJ/KEZU37xG161cGvPc0Y9bXDDy1v9u5TrdsbF4+PkjbWU+ZvmSArNtzW0b9IGrl8eMZsmJ+v/64SBPknbetkEfvGaFOYoldsSMdPXyJWbbz9yyXh+5dqUZZMVu16Iy6wKz7acr1+lj10e11fD2h9tbF468tk85yvTAjavjRt5ELMgbeT8+ceNqnf3GB5O+pwW5I20/dO1Kndv1oaRt83NGnuTe8lKdH6NtXlTbretsuvDN5G2j3+MbVi3VuV0fMoPDyGiwyMizgqjXtrFkkU4+fH/MtMLo9tHHw/IlhQp8dVvMtqIfU1Q40nZxQZ5e/uK9cc8daR89+ibHIj3/B3fFPX9k1F3JopHjTJJ+/OlKDUbdHz1Kb/lwciPiOx+/QRcHBsOj/UaN0lu5JLbtl993hXovXo4ZKRgZJbhiVNtPVazVyb5+8/7oEYXLFsf213nVctlLF2lwyNCgYWhgMPzv4JAh64L8mLZXLF+svv4B8/6BofC/g0Ox74UkLcrP1dLCvJHtDrcbfTxIMm83DGlguG206PYn+/rHTAhHJ25fO9E3ZlI6OqH3+Ltn9J2nO5O2/fC1K82Ek+fl4/rG3uRLvnf893u0pSx8Lvn7F9/TH//szaRtn/rcHbprU6kk6bvPdurz//aamUiL/OTnhpNT//gph953xTJJ0g9fPqY/bXs7JnkVaVuQa9EfO68yR1e+cKhbzS8cUn5uOJGWn2tRQW54+mx+rkUP3LjaHIVxMHhev3jrlHlfpH1+bo7ycyy6cXWR1g5/X/ZdHFAgeC62TdRjFhfkxXyeMX8QN4341hP+hBfqpPA55W+fO6h/OXBUd28q1b+9lvzi2y3rbWbC6enOoL74768nbXtF6SIz4fTcwW597kevJG3b8l8qzITTi4e79ft7DiRt+w87NpsJp44jPar+vx1J2373N27Uf71zoyRp/9EebXsk+Yjoxo9cpy8Nj4h+5XjfmCOiv3b/Vfra/VdLkt48dVY3jTEi+kv3lasxwYjoSLwWnZyqvX2D/vJj4RHRZ8716/rGJ6LiTMWM2H3gxtX6xoeulSRduDyo+/72OTMujW6Xa7HonvJSfXVb+CKrYRj65A86lBPdbjjmzc2RblpdpM/dOVLr7Ks/fUODQ0bM9iIx76aSRTEXer/3q/d0aXBoVB/Cr3H54gLdf/UKs+0T757R5SHDvIATudgRGbl8zYqlZttjPRc1ZBgxF08iI5Mj5xQAyEZpTTgFAgG1tLQkvM9ms6mlpUUPPfRQVgROv6y9PaUaDH/svCrlbX7m1vUpt/3IdSv1ketWptT2tg3Fum1DcUptr16xRFevWDJ+Q0nrbAvNoG88y5cUavmoP/aTWbogT0sXpHboFublmjWPxpMXVc9pPLk5Fi3MSW274WAmtbY5ORYVTqDtRPqQ6v7NzbFoY4orBOXmWHRDitMcLBaLbk3xOJOkD16b2vErSb9dsXb8RsP+4K7UC/L+jwl8Pr/54WtTbvu97ZtTbvvDT29NePvQcAIq2v/5zS26eHnITGSZyazh3/NzRxJOD3/gan3uzo1RbcMjCcOJLZkjIKVwQvhue4kGBsPbGxgydHlwyPx/dGLxfVcsU15OjgaGhqLaGhoc/j26bXnpIt1/1fLhdsPtBw1dHv7/4oKR43tRQa5WLS1M+PyDw38QREQSbZF90D9q3w1GJeLOnLukV473Jd3/tbdvNP//7plz+v6+w0nbXrlssZlw2n+0Rw/9MPkfr02um7RzeITc84eC+rXdv0ra9i8+er0+f0945MtzB4NyPvL8SFJqOIEV+f2/32M3+/zumXPa2fKSCvJGJbyGH/PRG1bpgRtXD++Hfn37iYCZ6Br9mM1rinT7xnDi7cLlQe1954wKohJuBbnhxxTk5qh0UYFWDE/DNgxD5y4NmtvNybHEv8AsRtw0Yuet61WwaEncRQlJuq+8VN/Y+45ePdGnf3vthEoW5eu29cVaWVQYbjN8wUOSVi0duUB19fLF+q0tZZLiL7ZIMkcLSdKG4oX6jRtWxbXVcPs1URe+Vi9doA8OT90fvU1DRkzb4oX5untTSczFjZGLLYq5qLcwP1fXrlgS03bkX0NFUbFPbo5FyxYXjJRhGNU2OsEx6tpDnOhRw9GnlcgFpKHITpZiLmRcHhx7lPPJs/1RbYe073AoadviRVHTww2p9eXjSdt+5NqVMQmnv3wqkHTk+/vKS2MSTpFp9Yncss4Wk3D63X/Zr8OhxCOir1+5VK98+T7zd2fT83rz1NmEbTcWL1Tgj53m73d/9xm9fDx2dG8kqbVyaaGe/8O7zbY1rS/pleO95kWR6Aspiwtyted3Ks22f/6EX6+d7DOTYjEjgXMt2vWhkTjlX189rnfPnDen50dfbMnPtWjHzWvMmPiV47062ddvng/MdsN9v3LZErNm6Nn+AV0eHDK3E11PFEB2SmvCKTIUfKptAABjy8mxKEexQVzRgnxF/f00piuWLdYVyxaP31DSrRuKU04WfvT6Vfro9atSavt7t6zX792SWiL9j+6264/uTnz+iEyhi3jojo36bcfa2ETWcDJrYMjQpqiE6keuW6krli2Ouf/y4JAuDxm6NDAkx9qRUSeb1xTpGx+6RpcHDV0aHNLlwZG2lweHdFXUqM1VSwv1setXhtsMjbS9NPxv9B+ZucN/ZFwetc1IYix6FOSlgfCCBckWLQhdGFl0oPv8ZT0Z6Eq6T9cXLzQTTqfPXlLj4+8mbfvf77GbCafTZ/v10b9/MWnbmts26BFXuB5b8PxlLf/aL8z7wn+ohBNTBbk52rGlTH89XD+uf2BQd/zvZ8z7IqPMCvLCv9++sVj//Z5yc1tf/PfXlJcTvj+SJIs8zl6ySB+Ouujyk9dPjkwdGpUosy7IM0e5zDTiphHf/uj1Y16oc920Wo88f0hf+8VbCp6/rJ++eUo7Nq9R40euS3px6/6rV8QkEMay7crl2nbl8pTa3lNeqnvKS1Nqe+emEj35uTtTanvbhmK9Vve+lNpWrrPp1Nc/kFLbm9YUaejbv26OiB6dyIpOCGwsWaTTX/9AkgRZ7CjcZYsL9NIX7zVHAA8OKeaCR6T+pxROpv37798S1XbkYsigYWiDbeQzaJH0v3/jhqg2iml/5ahz1+fvsevSQOzFlsHh/kePppekj16/MjzCOKq/kT6NvqB6/cqlKllUYI5YDp8nwueUVUWxF/Ei320DQ0ZcGYPRFzPPXhpUX3/iBWIuDcY++PWTffrVe6GEbYtGXXz95dun1Pb2mYRtc3NiE07/t/2I/vXV5CMFXTetNv9IbHz8Xf2j72jStmf+9APmKPUv/sdr2v3CezH3WywKT4fPsehN9/vM0b3/3/DiAPlRo8DCSazwvz/4rS3mdNN/3n9U//rKcTPhlWcmtMKP+8I9dnO7zx0Mhqf2D78nMUmyXIvuv2q5eRH2UPC83jlzLq5dXk74PLHOtkCLho/5SwNDujQ4xAUUYIKmdZW6RBIFTo899pje//73z3RXAADzwOigb2F+rlmrajxl1oUqs6Y2EvOG1UUpj+i7fWOJfvx7t6TUdtuVy3X8a/fH3R5ZZTP65d22oViBr24bSU5FJbMuDxraWDLyWuyli/TPv+2IS4xFfr9940gS0bYw3/yjLbLNgajH3BT1unMsFm1dZ9OlwaHh9oYZiF8aHIr5I2h0HbZI8i9SJ+5s1B9dlwYM7T+avEZg9CiMwSFDf/lUIGnbD1+7IibhtOMH7Ulr091rL9Xj//WOpNvKNOKmsLzcHP23uzbpk1vW6H/+/C01v3BIew4c07+/dkJfef+V+tJ95Sl/7rNVZNGO0RcrouXmWMxpz+PJz81JuZh7fm5OyiPvc3IsMSOYxhOdSBnPP3xyS8ptf7rztpTbvvyl+8z/R0YgRy5kjIyVC/vJZ27RhctD5ijkyIWRwSEjrkZl40euU9e5SyMXTqJGL4/Od3zmlg16/xXLYy60RNqOToLdV16qosK8hKOGB4aGlJczkiQrsy7UjauXmueOyMjlyP+jL4qMnsovhUfKhc8Piklunjrbr87gWLVeR7b10rHeMUe9/W7lWjPh9Ni7Z/QnP38radtn/tudZsLpR68eH3Pa7c933momrb/fflif9bxs3pebYzFHGBfkWvR/f3OLOTr/J6+f1P/42ZtRU+8tMRdS/vs95WbS+sDRHjW/cMi8eBL9mPzcHP3a1SvMRZaO9VzU4/4zI/fn5Aw/Lty2vHSROXLz4uVBnejrH/X8Iwk1arRhpqQ14VRVVTVmrYHHHntMxcXxV8mbmpqyLnACAGAsOTkWFYz6i2JBfm7KU15LFxdox+aylNquLloQs/LjWNbaFupXf3T3+A0VHul1bteHzIRUZHRY5P/RyakF+Tn66YO3Dt8XHg0WSYBdGjBkLx153YZhyP3+K+LaXR4I/765LPaP4Mq1Nl24PBhua24/3LZ0cWyNtZlE3DRxyxYX6u8+cZNqb9ugP/rXV/V0Z1Bf+8Vb+ocX39O3P3q9fuOGVfwhhYyKjEDOz5WU4Osl1YscknTH8MjSVGzfvCbltn+YZMRwIt/88LUplw14tPpmPfKJmxImpi4PGloelcz80r3l+q0tZeELHEMjF1AGhv9dFTVC7mPXr9Ra64KYUcgDURddout13rS6SJ+uXGdOzx/dl+Koqf0lCwvMZJq57aiLNNFJ7MujLqBERtNFRhxH59rOnLukl48nv4DyyS0j5+Z3zpzTI88fStp22eICM+H00rEe/Zd/2p+07Xc+foNZOuLF90K67++eS9r2mx++VnXDC+W8fKxXH/7er6ISaCPJqYJciz69db1Z2uVozwV98d9fj6k5adazzLHovvJSM/HWd3FA/6f9sDlSOXqEc0FuuITHtSvDtdAGBof01ulz5ijkyGMiU/YZVTZ3WQxjdM578rZv3669e/fKbrerpCT2CzIYDCoQCKiysjLudp/Pp8HBQc0Hvb29slqt6unpSamGEwAAyLxMnL+Jm6a23w3D0J4Dx1T3k9fN1Ue3XblMf/WxG3T9qqXjPBoAUjc4ZKh/YNAcXXxpIHYK/jrbQrPG7LGei3rtZJ95cWP0tPr3X7FM5cNTQ1870afWl46NtBsaGT08MDikz9y63lwU5YVD3fqTn78ZcwFnZNtDevgDV+tTwzXLnnj3jD706K9ipuhH+9ZHrtMXhxcheOFQt+4YYxGCh++/Wn9yf7iu6avHe1NfhKDrvMp37U3a9qE7NupvHrhRknSqr1+rvv7LpG1/p2Ktvv+b4RGK5y8NyP6NvXGJqUhCy3nVcn39A+FFEwzD0Kf+0WfWsIyeql+Qm6PrVi6JqfP2Dy++J4vFkjDxFZ38i7y+3Bwl7Ec2XPhI9fyd1hFOXq9XdrtdxcXFGp3HKi4uVkVFRdztacx3AQAAzBnETVNjsVj0yS1l+vXrVuqbj7+rbz/h1953zmjzXzyp/3rHRj18/1UqXpTa9DAAGEtujsWs5zSeNdYFMYsHjOX6VUt1/aqrU2p724Zi/bL29pTa3nfFMp3/5oclhad5RkaDRZJU0Quz3Lhqqdo/f3fM/ZHRwJeHDF0TXaOyqFDf+fgN5miw6FHJlweHdI99pL7dgvwcbb95jTkF/1LU6OJLA0Mxq5sPDq8AHWnbPzgUMxU0erXeS4OGTp1NvmBB9EjwgSFD/3LgWNK2H71+ZUzC6aEfvhJXDiDi/Vcsk/ezI/u/8q+eSroIwZ0bi/X0f7vL/P32v35aZ85dGpWcCie1rly+xKx9KUlf+c83htvGJscKcnO0YkmBPnvHRrPtf7x2Qn39AwlHhS0uyDNXe5bCK1QbhjHjybG0Fw1vb2+f8OO2b9+ezm4AAADMesRN6bG4ME//369do9/ful5f+o/X9ONXT+h/P9Opf/Id0Z996Fp95pb1rJQFIGtFVsEuTPKX/+LCPDnW2lLa1rLFhSmv+Ly6aIH+5b9UpNx29EIIg0OGmYCK/g5fUpCrl794b0zyaiSZNaQ1USvoWCT91ceuN6fUj0583TBqNOyHrl2RMDl2aXAorqTBgvwcLbicE5cckxRXj+1g9wWd7Bu9bnJY6GJs0srz8jEFuhLXN7tq+eKYhNP/+PmbSVdbXlO0QEf+pMr8/YHv79Pzh7rj2uXnWrRiSaEO/8+Rtr//Lwe073DIXJClMCpJtaggVy2/Uxm3nWTSmnBqaGiY1OPq6+vT2Q0AAIBZj7gpvTaVLtIPP71V3rdP6/P/9qpeP3lWn/W8rKbnD+o7H7/BnJYCAJj9cnMsWpgTvxBMXm5Oyou45OXmTKhm2Y8+vTXltkf/ZGTBl+jk2KXBIY0eNPSzB28driUZnyQrGpUJ/NK95eo6fylhkmz54tgVMm/bUKwVSwoTLuKyYklsWym8auTo5Njl4f5ECwTP6bWTiRNZiya4QEdaE06dnZ3jttmxY4f27NkTc9uWLamvGAEAADAfEDdND+dVy7X/C/fqb587qId/8Zb2H+3VPX/znH5zS5kaPnytuZoVAADpkCw5FrE5amrbeKJHMI2nyXVzym2f/YO7ZBjGcD2y2ATV6Dpf3/n4Deo6d3lkpNdwu/6BxNMNx5LWouFXXnml3nnnnaT379+/X06nU11dXel6ylknUjzrH55+U5++K7X5uAAAILMyUTScuGn69/vps/3645+9qe+9+J4MI3xltn7bFfriveVaMMGrtAAAICzV83dO0nsmwe/363vf+17C++rr61VRUaFQKJTOp5y1fm/PAX3+316NW0ITAABAIm6aCcuXFKq5+ma9+Ed3646NxTp/eVD/8+dv6fpvPaEfvXKcIuwAAEyjtCacrFarHnnkER04cMC87bHHHtOVV16p5uZmNTQ0aNOm1IqMzQd//XSn3v93z+nY8FK9AAAAEcRNM6dirU1Pf+5O/eC3tmhN0QJ1Bs/L9X/adfffPKvnDgYz3T0AAOaltCacHnvsMe3bt09tbW06cOCAHnroITmdTm3ZskWBQEBf/vKX1dHRkc6nnLX+8VNbVLQgT88e7JbjL5/UE++eyXSXAADALELcNLMsFos+5VirN93v01e3XamF+Tl67mC37vrus/rE9/fprVNnM91FAADmlbTWcIr22c9+Vq2trWpubtYnPvEJ8/aDBw9q48aN0/GUs0L0XMaT/Tmq/r8devl4r3JzLPrGB6/Rl+4rl2V02XoAAJBRmajhFI24aeb3+9GeC3r4l2/rH158T0NGuOjrzlvX62v3X62VS+NX9wEAAGEZqeEU7ZFHHtHOnTtVVVUVc7vb7Z6up5x1rly+RM/9wZ36LxVrNThkyP2fb+g3vr9PXecuZbprAABgFiFumnll1oXaXX2zXvriffrItSs1OGTokecP6cpv7tWf/vJtne0fyHQXAQCY0yY9wmnHjh3jtgmFQgoEAnI6nZKkYDAor9ebdautGIahpucP6fP/9pouDQ6pzLpAP/jNLbrvimUZ7i0AAJCmf6QNcVNimR5ZFu1J/xnV/eQN7TsckiStWlqo/1l1lT5zy3oV5E3bNVoAAOacVM/fk044lZSUyG63q6SkZEKP27t3rwYHByfzlHPCWDt+/9Ee/db/69Bbp8/JYpHq33+lvnb/VcrPJYgBACCTpjvxQdyU2GxKOEnhi4StLx3XV3/2hgJd5yVJG4sX6k/uv1q/7ShTHjEbAAApn7/zJvsEdrtd7e3tE37c9u3bJ/uUGdHY2CibzSYpfOWxrq5u0tvaUmZV++fv0R/922v6+xff0zf2vqPH3z2jf/yUQxtLFqWpxwAAYLYhbpobLBaLtm9eo4/fsErNLxzSN/a+o4PdF/T7ew7om4+9o4fvv1rbb16jnBzqcQIAMJ5Jj3Dau3evtm3bNuHH7d+/X1u2bJnMU864qqoqNTQ0yOFwSJLKy8vV0NAgl8uV9DGpZvr2HDiqWs/L6r04oKIFefqLj16v39u6joLiAABkwHSPtCFuSmy2jXAa7fylAf3tc4fU8Ng76jp/WZJ0w6ql+tNfu1ofu34VcRsAICtN+5S6+a65uVkdHR1qamoyb/N4PGMGTdLEAqeDwfP67X/y6bmD3ZKkD12zQk3VN6nMunDqLwAAAKRstic+ZruZiJsyqe/igL7zTEB//oRfPRfDxcQr11r1J/dfrQ9fu4LEEwAgq0xbwqmzs1N79+7V9u3bZ3VgMFXFxcXavXv3uIHSaBMNnAaHDP35k379yc/f0qXBIdkW5us7H79ev+1YS/ACAMAMma7EB3HT2OZKwimi+/wl/fmTAX3n6YDOXQrX1tq8pkhf3XalHrhxNVPtAABZYVpHOO3evVtNTU0qLS1VbW2tHnjggSl1Nl1CoZDcbrdsNpsaGhqStvN6vWpra1N5eblCoZAkxdQYCIVCKi4uVltbmwKBgCTJ7/ertrZWdrt9zD5MNnB6/USfPv0v+9V+pEeS9OvXrdR3H7hR62yMdgIAYLpNZ+KDuCm5uZZwijh9tl/fesKvv3vuoJl4unbFEtVvu1Kf3LyG4uIAgHltRqbUdXZ2qqmpSR6PRxUVFaqtrdX73//+yW5u0txutwKBgLZu3aqmpiY5nc6YId3RPB6P9uzZo9bWVvM2r9erhoYGtbW1SZJ8Pp8qKirU0NBgBlShUEibNm1SZ2enWQwzkakETgODQ2p8wq+v//ItXR40tLggV1//wNX6w7s2EbgAADCNZiLxQdwUb64mnCK6zl3SXz/Tqb9+OmBOtbOXLpL7fVfodyrXqjAvN8M9BAAg/Wa8htP+/fvV1NSkvXv3yuVyqba2Vhs3bkzHpiekoqJClZWVCQOnsYKfSOBXU1Mjr9erqqoqtba2xgwNr6qqksPhGPMqYDoCp1eP9+qhH76sZ4drO928pkh/94mbdNuG4kltDwAAjG2mEx/ETWFzPeEU0XPhsv72uYP6y6cCOnPukiSpzLpAf3DXJtXctkG2hfkZ7iEAAOmT6vk7bcNmtmzZokceeUTvvPOOKisrVVdXp61bt+rb3/62ent70/U0U9LS0iK73Z7wStuOHTvMYKukpESS4oaB22w2+Xy+ae/nDauL9OR/vVOPbr9ZJYvy9dKxXt353WdU63lJp/r6p/35AQDA9CJuml+sC/NVv+1KdX51m/7io9drdVGhjvZc1Ff+8w2t/19t+vy/vaqDwfOZ7iYAADNqWuZpfeITn1BLS4u8Xq+sVqve//736wMf+IAeffTR6Xi6lLW2tppB0Wh2u10+n0+hUMhczjeTcnIs+v1b1utN9/v06a3rZBjS7hfe05XffEzffOwdXbw8mOkuAgCANCBumj8WF+bp8/fYFfjqNn1v+826fuVSne0f1F8/3akrdu3VJ3/QoRff6850NwEAmBHTWhjIarVq586dam9vV0tLi7q7u1VZWakdO3bosccem86nTqi9vT1p8crI7ZFilw6Hw/x/RCaCqmWLC/X3Ozbrqc/docq1VvX1D+irP31T1zY+rn/ef1RpmhEJAAAyjLhp/ijMy9Xv3bJeL3/pXv1s561yXrlMQ4bU8tIx3fbXz+iev3lWrS8d0+XBoUx3FQCAaTNjlaitVqu+/OUvq729XV/5ylf0y1/+UldccYUeeughHThwYEb6EAqFxixcKY0ETg0NDTH1DAKBgAKBgOrr66ezi0ndtalUL/zh3fq/v7lFa60LdKj7gj71jz7d9tfP6OdvniLxBADAPELcND9YLBZ94OoV+mXt7dr/hXv0OxVrlZ9r0TOdQe34QYc2/plXD//iLR3ruZjprgIAkHZ5mXjSLVu2aMuWLfrmN7+pvXv36hvf+Ia++tWvavPmzZnojiSZAVUwGJQkOZ1OSeGVXEpLS+X3+9XW1jZu4BUxuv5CYWGhCgsLp9THnByLfrtirR64cZX+4qmAGh57V/sOh/ShR3+l2zcU6+EPXC3nlctksVim9DwAAMx3/f396u8fqYs4W+omJULcND/cvMaq7//mFv3Zh67R3z13SN978T0d7+3Xn7a9rT/b+45+44ZV+q93bNS95aXEcgCAWWWycVNGEk7Rtm3bpm3btmW6Gwk5nU4zgJqodevWxfz+ta99TQ8//HAaeiUtKsjT/3BepZ23blDj4+/q7547qOcPdesDzS/ozo3F+pP7STwBADCWXbt26etf/3qmuzFhxE1zX5l1of7XB6/Rn1RdpR+9clx/99xBPd0ZlOfl4/K8fFzXrVyi2ts36re2lKl0cUGmuwsAwKTjpownnGaLUCgkSUmLY07U4cOHY5YHnI6rdCuXFurPP3q9vnRfuRoef1dNzx/SswfDiafNa4r0hXvLtWPzGuXnztjMSQAA5oT6+np94QtfMH/v7e2NS3ogubkYN802BXk5+uSWMn1yS5lePtarv3v+oP5fxxG9fvKs/uhfX9WX/+N1fez6lfq9W9ar6qrlys3hQiIAIDMmGzfNeMKpt7c3JqCYr4qKimbsda4uWqC/+tgNqrvvCjU8/q6+96v3dOBYr37nn/frqz99Q39w1ybtvG2DbAvzZ6Q/AADMdnNlyhZxU3a4aU2R/u4TN6nhw9fqBx1H9Pcvvqf9R3vV+vJxtb58XGXWBfqdyrX6dOU6Xbl8Saa7CwDIMpONm2Yk4bR3714FAgGVlpbKarUqEAjIYrHowQcfnImnN9nt9rgVVCIiNQiSrcYyF6yxLtB3Pn6Dvnb/VXrk+UP67jOdOtJzUe7/fENf/+Xb+uSWMtXetkGV66xMtwMAYJYibspeRQvy9bk7N+lzd27SgaM9+od9h/WPviM62nNRu/a+q11739Vdm0r0KUeZXDetYcodAGBWm/aE06OPPiqn0xlTbyDy/29/+9v60pe+NN1dMDkcDnMI+GjRy/rOdSWLCvTVbVfqi/fa9U++o/rLpwJ69USf/v7F9/T3L76nLWVFqrltg35ry1otXcCsSgAAZgviJkRsLrPqO2VWNX7kWv3Hayf1D/sO6xdvndIznUE90xnUH/z4Vd1/1XL9pqNMH7t+lZYUEtMBAGaXaS3u89hjj6miokIbN25MeP+XvvQlffvb357OLsSoqqpKeqXO7/dPutDlbFWYl6vfu2W9XvrivXrqc3foU44yFeblaP/RXj30w1e0+uu/1Kf+0aefvnFSlweHMt1dAACyGnETEinMy5Xr5jX6zwdv1aH/4VTDh6/VlrIiDQwZ+umbp/Rf/mm/Vj78C33yBx3611ePq39gMNNdBgBA0jQnnAKBgLZs2TJmmy1btszYUsTbt29XMBhMGDx5PB7V1tbOSD9mmsVi0V2bSvWD33LoyP+s0rd//TpdvXyxzl8e1D/vP6qPfO9Frf3TNv3Bj1/RC4e6ZRhGprsMAEDWIW7CeMqsC/Xl912hjv9+r16vu0//s+oqXblssS5cHlLLS8f0wPfbtfxrv9Bv/r8O7TlwVH0XBzLdZQBAFpvWhNPoxMX999+vq666Kua2yspKtbe3p+05Q6GQWVdgNJvNpt27d8vtdsfc7vF4ZLfb5XK50taP2ap0cYG+cG+5Xq97n371h3frD+7apOWLC3T63CX9zbMHdcf/fkYb/pdXf/ivr+rxd89ogJFPAADMCOImTMQ1K5bq6x+4Wm+636d9n79bX7jXrjLrAp3tH9SeA8f0m//Pp+Vf+4V+/Xu/0vd+9Z5On+3PdJcBAFlmWid7jy5MbRiGhobiExhTHVHT2Nioffv2KRAImD9VVVWy2WzasWNHTEDkcrlks9nkdrtVXl5u1iZoa2ubUh/mGovFoq3rbdq63qY///Xr5H3njP7Rd0T/+uoJHem5qO8+06nvPtOp0kX5+vXrVunjN67StiuWaTH1AQAAmBbETZgMi8WiirU2Vay1qfHD12nf4ZB+/OoJ/fiV43rnzDn95xun9J9vnFKtR7prU4k+ev0qfejaFbp6+RIWkQEATCuLMY3zp3bv3q2dO3eO2eZHP/qRnE7nvFkKt7e3V1arVT09PXPyNV28PCjvO2f0o1eO6z9eO6Gu85fN+wpyc3S3vUS/dvUK/do1K3TdSgIVAMD8MBvO38RN8+M1zRaGYej1k2f141eP68evHNf+o7FTMTeVLNIHr1mhD16zQu+7olSLCrioCABITarn72lNOO3du1elpaXavHlz0jbf+ta39OUvf3m6ujDj5lPgNDA4pGc6g/rRqyf0k9dO6GD3hZj711oX6APXrJDzymW6r3yZVi4tzFBPAQCYmtlw/iZumttx02x3MHhe//rqCf3szZN60h/UpaiyCYV5OXpfeak+eO1KffCaFSovXcRFRQBAUrMi4SSFr9ZVVVUlXHFlppf3nQnzNXAyDENvnz6nn791Sr9485Se8Hfp4kDsMP9rVyzRveWlet8Vy3SvvVQrSEABAOaI2XL+Jm7CTDjbP6DH3z2jn755Sj9745TeC8VeVNxQvFDvv3KZtl2xTO+/YplWFS3IUE8BALPRrEk4SeErdp2dnSopKZEkdXV1yWKx6MEHH5zup55x2RI4Xbg8qCf9Xfr5W6f0pL9LLx2LXzHn+pVLdW95qe62l+iOjSVaZ1uYgZ4CADC+2XT+Jm7CTIpMvfvZm6f00zdO6tmDQV0ejP3z4IZVS80E1L3lpSpakJ+h3gIAZoNZlXCK1tPTI6vVOpNPOaOyNXDqOndJTwW69IS/S0/6u/Ty8fgEVJl1ge7YUKzbN5bojo3F2rzGqoK8aV0oEQCAlMzW8zdxE2bauf4BPd0Z1N53zuixd0/rwLFeRf+1kJtj0dZ1Nt21qUT32Et158ZiFS8qyFyHAQAzbtYmnOY7AqewM+f69VQgqCf8XXr+YFAHjvVqcCj2UFuQl6Ot62y6bUOxbt9YrK3rbCqzMgoKADDzOH9nBvt99jtzrl+Pv9s1nIA6o3fPnIu532IJj4C6e1N4VPvdm0q1xsoUPACYz6Y94VRfX69du3ZN+HHzsf5ANAKnxM71D2jf4ZCeO9StFw5267lDQQWjVsCLWF1UqFvW2VS5zqatw/+WcNUMADDNpvv8TdyUGHHT3HMoeF5PBrr0dGdQzwS69Nbpc3Ft7KWLdM+mUt25qUS3bSjWtSuWKCeHIuQAMF+kev6e9PqnPp9vUo/bt2/fZJ8Sc9jiwjzdd8Uy3XfFMkkjRcifOxjUswe7te9wt1470afjvf36t9dO6t9eO2k+trx0kZl82rrOJkeZVYsLWboXADB3EDdhvthQski/U7JIv1O5TpJ0sq9fz3R26alAUM90hut6BrrOK9B1Xt9vPyxJKlqQp1vX23Tr+mLdvqFYt24o5oIiAGSBSY9wysnJUUVFhVnQMhXBYFA+n0+Dg4OTeco5gSt1k3euf0D7j/Vo3+GQ2g+H/x09bFuScizSdSuXqnI4+eRYa9XNq4tIQgEAJm26z9/ETYkRN80/PRcu67mDQT3dGdQLh7r14nshnb8cfwxftXyxbltfrNs2hH9uWLVUebnU9gSAuWDap9Tl5OTIZrNN6DGhUEgWi4XACSnrPn9J7UciSaiQ9h0O6WjPxbh2Fot0zfIlcqy1akuZVY4yqzaXWWVbyCoqAIDxzUTCibgpHnHT/DcwOKRXT/TphUPd+tV73Xr+ULfeTjANb3FBrirWWlWxNjyqvXKtVeWli5mKBwCz0LQnnPbu3atAIKCSkhJ94hOfSPlx999/v375y19O5innBAKn6Xes56Laj4TUcaRH+4/0yHe0R8d645NQUng63pay4STU2nAiavmSwhnuMQBgtpvu8zdxU2LETdmp69wlvfhet154L6RfDSeiei4OxLWzLshTxVqbKtZah5NQNm0sWSiLhSQUAGTSjK1S19PTo5aWFlksFjmdTm3cuHHM9p/97Gf1yCOPTOUpZzUCp8w42dev/UfDyadIEqozeD5h27XWBTEjoRxrrVpTtIDgBQCy2Eydv4mbYhE3QZKGhgy9eeqs9h0OqeNojzoOh7T/aI8uDgzFtS1ZlB83EmqdjSQUAMykGUs4Rdu/f7/a29tVWlqqBx54IF2bnVMInGaP4PlLOnC0N5yEOtoj35GQ3j5zTomO+BVLCkZGQg0noTaVLCJ4AYAskYnzN3ETcROSuzw4pDdOnlX7kXBZhY4jPXrpWK8uDcYnoZYvDsdxN68pMuO5K5YtVi7T8QBgWmQk4RTthz/8obq7u1VZWanNmzdPx1PMSgROs1vfxQG9dLxHviM95oio10+e1eBQ/MfAuiAvZjreljVWXb1iCcELAMxDmT5/EzcRN2F8lwaG9OqJXrUf6RlOQoX0yvE+DSSI4xYX5Oqm1UXaXGbV5uFE1A2rlmpBfm4Geg4A80vGE04RnZ2d8nq9slgs2r59+7wPJgic5p4Llwf16vE++Y6Gr54dONqjl4/3JbyCtig/N+bqmWOtVdevXKqCPFZVAYC5bLacv4mbgIm5eHlQrxzv0/5j4RjuwLFevXysN+HKeLk5Fl27Yom2lFm1uaxIm9eEk1HFiwoy0HMAmLtmTcJJCl+1a2pq0t69e+VyubRnz57pfsqMIXCaHyLDuH1mXaiQDhzr1blL8cFLfq5FN6xaqi1lNnM63k2rl2pRQV4Geg4AmIzZdP4mbgKmZnDI0Dtnzmr/0V7tP9qjl471aP/RXp05dylh+43FC4dHQoUTUTevLtL6YupCAUAyGU84HTx4UA0NDWppaVEoFNKmTZtUW1urmpoaWa3W6XjKWYHAaf4aHDL07plz4STUkR4dOBb+t/vC5bi2ORbpmhVL5CizasvwdLzNZVbZFuZnoOcAgPFk+vxN3ETchOllGIaO9lzUgWPhJNSB4RqfB7svJGxvXZCnm1YX6aY1RbppdZFuXlOk61cu1eJCLigCQEYSTr29vWppaVFTU5N8Pp8Mw5DL5VJtba22bduWrqeZ1QicsothGDrUfSFuhbwTff0J25eXLoqrC7ViaeEM9xoAMFomzt/ETcRNyLzQhcvh5NOxHh042quXjvXqjVN9ujwY/yeSxSJduWyxmYi6eXU4GcVoKADZZkYTTo899piamprk8XhkGIYcDodqa2u1c+fOqW56ziFwgiQd771oJqEODI+ISnYFrcy6IDwSKioRtda6gMAFAGbQTJ6/iZtGEDdhNro0MKQ3T53VS8d79PKxPr18PFzf82SSC4qMhgKQbaY94dTb26vm5mY1NTXJ7/fLZrNp+/btcrvd2rRpU9LHffvb39aXvvSlyTzlnEDghGSC5y9p/9Ees56A70hIb585p0SfwGWLC7SlrCimLpS9ZJFyWCEPAKbFdJ+/iZsSI27CXHKyr18vHw+Pgnrl+MRGQ920mtpQAOaPaU845eTkyGKxyOl0qra2Vg888EBKj7vyyiv1zjvvTOYp5wQCJ0zE2f4BvXSs15yOt/9Yj147kXh536WFecNJqOGRUGVWXbNiifJyWSEPAKZqus/fxE2JETdhrmM0FIBsNCMJJ5fLJbvdHt5QVKbeMIy4zL1hGPL5fNq7d68GB+NX+povCJwwVRcvD+rVE33hJNRwIuql473qHxiKa7sgL0c3rS7SlrVWcyTUDauWqjAvNwM9B4C5ayYSTsRN8YibMF9Fj4Z6+Vg4CcVoKADzxbQnnCorK9Xe3j6hxwQCAVVWVioYDE7mKecEAidMh8uD4atn0cXJDxzrVV//QFzbvByLrl+11BwFtaXMqpvXFGkJV84AIKnpPn8TNyVG3IRsMtnRUDdGFSm/YRWjoQBkXqrn70l/W0Wu0E30MU6nc7JPCWSt/Nwc3TgccPxO5TpJ0tCQIX/XOfmGi5IfOBb+t+v8Zb10LHxF7fv7DksKXzm7evkSVa61qmKdTRXDK+QRsADAzCBuAlCQlxMewbSmSKoYuT1ZbaieiwN6ujOopztHks4Wi3RF6eK4aXkbGA0FYBZKyyp1GMGVOmSSYRg6HLqg/UdH6kL5jvboWO/FuLY5FunaFUtVMZyEqlwbHgm1qIAkFIDsw/k7M9jvQGKR0VAxiajjvUlHQxVFj4ZavVQ3rwmXWWCEO4DpMG1T6h599FE9+OCDU+7gTG13phE4YTY62devjiMhdRzpUceRkNoPJ05C5eZYdN3KJapYGx4FVbnWppvXFGlBPjWhAMxv03X+Jm4aG3ETMDGR0VAvH+sN/3u8V6+fTF4bqrx0sW5avVQ3rbbqpjVLdfNqqzYUL2TlYwBTMm0Jp61bt2rfvn1T7uBo82UVFgInzBXHey+q40iP2g+H5DvSo31HQgmvmkVqQlWsDY+Cqlhr001rKEwOYH6ZrvM3cdPYiJuAqYvU+hw9Le9EktFQSwvzdNPqpcOjocJT8m5YVaSlCxgNBSA101bDyTAM/ehHP5pS5xJtk5l9wMxaXbRAH7lugT5y3UpJ4c/hsagkVOTf0+cumTWh/v7F8GPzcy26cVWRKtZZzUTUDauKVJCXk8FXBACzD3ETgOkWXevzU46R209FRkMdH0lCvX7yrPr6B/TswW49e7A7ZjvlpYviakNtLF7EaCgAkzbhEU4//OEPFQgE0t4Rm82mnTt3pn27M40rdZhPDMPQkZ6LZgIqPB0vpK7zl+PaFuTm6KbVS82i5JVrbbp+1VLl55KEAjD7Tdf5m7hpbMRNwMy6PDiktxLUhjrem3g01JLC3KjaUOEk1I2MhgKy3rRNqcPYCJww3xmGofe6L6j9SEjtR3rkG64J1X0hPglVmJejm1cXmUXJK9badN3KJcojCQVgluH8nRnsd2B2OH12ZDRUpD7UayfO6tLgUML29shoqOERUTevLtKmEkZDAdmChFOGEDghGxmGoc7g+ZjpeB1HQuq5OBDXdlF+rhxrrapcZ9PWdTbdss4me+kilvIFkFGcvzOD/Q7MXpcHh/T26XNxtaESLTwjhUdD3bgqPBrq5uFpeTeuXqqiBfkz3HMA042EU4YQOAFhhmHI33XeXBUvskpeX398EqpkUb62rrPFJKFWFS3IQK8BZCvO35nBfgfmnjPn+vXysb7Y0VAn+9Q/kHg01KaSReGV8tZYddPqpbp5jVV2RkMBcxoJpwwhcAKSGxoy9PaZs9p3OKQX3wvXg9p/tDfhcO211gW6Zf1IEqpyrU3WhVwhAzA9OH9nBvsdmB8GokdDHe/VK8fC/x7tSTwaanFB7nCh86W6ebVVN61ZqhtXFRHrAXMECacMIXACJubSwJBeOdGrF98Lad/hkPa9F9Lrp/qU6Jvp6uWLdcv6YjMJtXlNkRbk5858pwHMO5y/M4P9DsxvXecumbWhItPyXj2RfDTUxuKF5ip5kSLl9tLFymU0FDCrkHDKEAInYOrO9g/Id6RHLx4Oj4J68b1uHey+ENcuL8eim1YXaev6cAJq6zqbrlu5lKAEwIRx/s4M9juQfQYGh/TOmfjaUEeSjIZalJ8bHgm1xqrNa4q0ucyqG1ct1eJCVsoDMoWEU4YQOAHT4/TZ/nDyyUxChXT63KW4dosLcuUos8YkoTaVUJQcwNg4f2cG+x1ARPD8JbMmVGRa3qsn+nQxwWgoi0W6atlibS6z6uY1Rdo8nIyiBigwM0g4ZQiBEzAzDMPQe90X9OLh8FS89sMhtR8J6Wz/YFzb0uGi5FvXF5tFyVcsLcxArwHMVpy/M4P9DmAs0aOhDhzr1UtHe3TgWK9O9PUnbL9yaaE2rymKGg1VpCuXLWH0O5BmJJwyhMAJyJzBIUNvnTprJqH2vdetl4736vJg/NfcxuKFunVDsW5Zb9Nt64u1pcxKPSggi3H+zgz2O4DJONF7US8d79WBo7166Vg4CfXW6bMJa4AuzM8ZrgfFlDwgXTKWcHrsscfU1NSkQCAgu92u+++/X9XV1VkTRBA4AbNL/8CgXj7WpxcPd5tT8d44dTauXX6uRTevLtIt64t16wabbl1frCuXLWYqHpAlMnX+Jm4ibgKQHuf6B/TqiT4dGE5AvXSsVy8f69X5y/Gj35mSB0xNRhJOu3fvltvtltPpVCgUUnt7u0KhkIqLi9XY2KjPfOYz6XqqWYvACZj9ei5c1r7DIf3qvW69+F7431Nn4+tBFS/M1y3rw8mnW9fbdMv6YpUuLshAjwFMt0ycv4mbiJsATK/BIUPvnjk3koQaZ0reiiUF2rxmOAlVFk5CXbWcKXnAaKmev9M6jrCjo0PBYDDmts7OTrW1tenLX/6y/H6/vvGNb6TzKQFgwqwL8+W8armcVy2XFK4Hdaj7gl441G0moXxHe9R94bJ+8dZp/eKt0+Zjr1i22Ew+3ba+WDevKVJBXk6mXgqAOYy4CQCmV26ORVevWKKrVyzRjs1l5u3RU/JePt6rA0d79Nbpszp19pJ++fZp/fLtkdhvYX6OblxVpJvLRkZC3bi6SEuYkgeMK60jnB599FE9+OCDCe8LhUKqqanRJz/5ST3wwAPpespZhyt1wPxwaWBILx/vjRkF9fbpc3HtCvNytKXMGjMSilXxgLknE+dv4ibiJgCzx/lLkSl54QTUS8PT8pJNybty2eKR0VDDI6JWLS0kBkRWyMgIp3fffVe9vb0Jn9Bms6mlpUUPPfTQvA6cAMwPBXk5qlxnU+U6mz53Z/i24PlLZvIp8m/w/GW9cKhbLxzqltQpSVq+uCCcgNpQrFuHV8azLczP3IsBMCsRNwHA7LGoIE+3rC/WLeuLzdsGhwz5u87pwNFeHTgWTkIdONaj4739evv0Ob19+pxaXjpmto9MydtcZpWjzKotZUUqL12sHKbkIUulNeFUX1+vbdu26dFHH9XNN9+csI3dbk/nUwLAjClZVKBfu2aFfu2aFZLCU/H8Xef1q/e69av3QnrxULf2H+vR6XOX9J9vnNJ/vnHKfOw1K5aYU/FuXW/TjauLlJ/LVDwgmxE3AcDslptj0VXLl+iq5Uu0ffMa8/aTff3m6ngvHRt7St7SwjxzBNSW4UTUtSuXEAciK6Q14WS1WtXU1KT3ve992rp1q7Zv355VK60AyC4Wi0VXLFusK5Yt1qccayVJFy8P6sCx2Kl4ga7zevPUWb156qz+T/sRSeF6AJVrbbptQ7Fu21Cs2zcUszIKkGWImwBgblq5tFD3X71C91+9wrwtMiVv/9Ee7T8aTkK9fLxXff0DerozqKc7R2r2Febl6IZVS6NGQll10+qlWlRAXSjML2mt4RQRCoXkdrvV2tqqnp4e2e12ORwO9fT06JFHHtHGjRvT/ZSzBrUIAIx2+my/fmVOxQsnonouDsS121i8ULdvLAknodYXa3MZo6CAmZLJ8zdxE3ETgPlpYHBIb546q/3HeuQ70qMDR3u1/1iPehPEgTmW8Ij4LWVWbV5jlWNtuEB58SJWSMbsk+r5e1oSTtG8Xq/54/P5ZLFYZLfb5XQ6df/992vbtm3zKsAgcAIwnqEhQ2+fOavnD3br+eH6T6+d7NPob+MFw3WkokdBrWYUFDAtZsv5m7gJAOa3oSFDncHz4ZFQx8JJKN/RHp3s60/YfmPxwnDyqcyqLcOJKOJBZNqsSTiNliiQamtr0/vf//6Z7Ma0IXACMBm9Fy/rxfdCZgLqhUPd6r5wOa7dhuKFun04AXXbhmJtXmNVQR6joICpmq3nb+ImAMgOx3svav/RHvmO9ujA8LS8zuD5hG1XLi3UljVF2rI2nITaUmaVvZRVkjFzZm3CKVpPT4/a29tVWVkpq9WaqW6kFYETgHQYGjL0zplzev5Qt54/FNQLh7r16onEo6Aq1lp124YS3bbBpts3lGiNlatewETNhfM3cRMAZJfu85d04FjvcF2o8M+bp85qKMFf8NYFecMr5BXJMZyIumbFEuVRngHTYE4knOYjAicA06X34mXtOzw8Cupgt154r1vB8/GjoNbbFur2jcVmLagtZYyCAsbD+Tsz2O8AMDHnLw3o5eN9ZgIqXJy8T5cGh+LaLsjL0Y2ri7SlzKotZeF/b1xdpIX5uRnoOeYTEk4ZQuAEYKYYhqG3T5/TC4dGakG9eqI37qpXoTkKqticjldmXZiZTgOzFOfvzGC/A8DUXR4c0hsnz8ZMyTtwLLxC3mi5ORZdO1ycfMvwKnmby4pUtCA/Az3HXEXCKUMInABkUt/FAb14eKQO1POHEo+CWmdboNs3lJhJKEZBIdtx/s4M9jsATI+hIUP+rnPaP7wy3v4j4RFRp89dimtrsUhXLlusirU2bSmzqmJtOBllW0gSComRcMoQAicAs4lhDNeCGp6C98Khbr1yPH4U1IK8HG1dZ9PtG0t058Zi3b6xWMsWF2am00AGcP7ODPY7AMwcwzB0rPei9h/tle9Ij/YfDcl3tEeHQxcTti8vXRSThHKstapkUcEM9xqzEQmnNGtsbJTD4ZDT6RyzHYETgNmu7+LAcC2ooH51KKTnDgUTjoK6avli3bGxRHdsLNadG0t09fIlyslh9RPMT5y/04u4CQDmjtNn++U72qOOI+GRUB1HQjrYfSFh243FC8NJqLXDSagyq5Yv4SJltiHhlEaBQEDl5eVqa2sjcAIw70RqQT17MKjnDnbruYNBvXnqbFy7kkX5un1DsTkKaus6mxYV5GWgx0D6cf5OH+ImAJj7gucvyXdkOAl1NJyE8nedT9h2nW1B7EioMqtWFbFq8nyW6vmbvxRS4PV6ZbfbM90NAJgWFotFV69YoqtXLNHv37JektR17pKePxROPj1/sFsvHg7XgvrPN07pP984JUnKy7Fo85oi3bGpRHdsKNGdmyhGDoC4CQDmg5JFBXJetVzOq5abt4UuXB5OPo0kod4+fU6HQxd1OHRC//rqCbPtmqIFZi2oyHS8NUULZLEwWj6bMMJpHB6PR06nUxUVFWpqauJKHYCsdGlgSC8d69WzB4N6/mBQzx7s1rHe+Pn+620LdeemEt2+oVh3birRjauWKi+XYuSY/Th/pwdxEwBkl96Ll3XgaK86joaGp+P16M3TZ5Uoy7ByaaEqyqwx0/HW2RaShJqDsnKEUygUktvtls1mU0NDQ9J2Xq9XbW1tKi8vVygUkiTV1dUl3J4k2Wy2aegtAMwdBXk52rrepq3rbfr8PXYZhqH3ui/ouUPderYzqOcPBfXSsV69F7qg9/Yf1T/vPypJWlKYq1vXh1fCu2NjOBFlZcUTYFYgbgIATFXRgnzdU16qe8pLzdvO9g/opWO96jgSMkdEvX6yTyf7+vXTN0/pp2+eMtsuW1wQOxKqzKaNJSSh5ot5kXByu90KBALaunWrvF7vmFfTPB6P9uzZo9bWVvM2r9erqqoqtbW1xbRtaWlRTU3NtPUbAOYqi8WiDSWLtKFkkX5zS5mkcDHyFw9369nObj1/KKjnD3Wr9+KA9r5zRnvfOTP8OOn6lUtjipHbSxcRVAAziLgJADCdlhTm6c5NJbpzU4l52/lLA3r5eJ86joRXxvMd6dFrJ/p05twl/eKt0/rFW6fNtiWL8uUoiyShbHKstaqceHFOmndT6ioqKlRZWammpqa4+0KhkDZt2qTOzs64q28VFRWqra01AyWfzyebzWbWICgvL2doOABMwOCQoddP9g2PgOrWsweDCiQoNrlyaaHuiCpG7lhrVWFebgZ6jGyWredv4iYAQKZcvDyoV0YloV450avLg/EpCuuCvHASaq1VlWttqlhrVXnpYlZQzpCsnFI3npaWFtnt9oRDvXfs2KGmpiYzcGpvb+cqHQBMQW6ORTeuLtKNq4v02Ts2SpJO9F40k0/PH+xWx5Eenezr149fPaEfDxeaLMzL0S3rbLpzU4nu2lSiOzaWyMY0PGDGETcBAKbTgvxcs2RDRP/AoF470aeOIz1mEurl473quTigx/1detzfZba1LshTxXDyqXKdTZVrmY4322RVwqm1tVUlJSUJ77Pb7fL5fAqFQmpublZXV5caGxvN+4PBoJqamuTz+RLWLQAAjG9V0QL9xo2r9Rs3rpYUvrLVcaTHLEb+3MFunT53SU93BvV0Z1BSeBreDauW6s6N4QTUXZtKtL54USZfBpAViJsAADOtMC9XjrU2OdbazNsuDw7p9ZPhJFTHkR75joR04Fg4CfXYu2f02LtnzLYli/JVsTY8FS+chKIweSZlVcKpvb1d27dvT3hfZAh4IBBIGBi53W7V1taOOzQcAJC6Bfm5MXP8DcPQO2fO6ZnOoJ7pDOrZzqDeOXNOrxzv0yvH+/TI84ckSetsC3TXplIzCXX9qqXKZUg1kFbETQCA2SA/N0c3r7Hq5jVW/f4t4dsuDw7ptRN9aj8SCieiDof00vFeBc9fVtvbZ9T29kgSavlwYfKK4VFQleusWlO0gCTUDMiqhFMoFBp35ZRAICCHwzEzHQIAxLBYLLpq+RJdtXyJfv+W9ZKkk339evbgSALKd7RHh0MX9c9Rq+FZF+Tpjo3hxNVdG0u0db1NC/OpAwVMBXETAGC2ys/N0eYyqzaXWfXgreHb+gcG9eqJPrUfHk5CHQnpleN9On3ukn7+1mn9PKow+aqlhaocLkgeGQm1qmhBhl7N/JVVCaexRAKqYDAYc7vX6zVXZmloaGBoOADMsJVLC/XAjav1wPA0vHP9A/rVe6FwAupgl54/1K2eiwP62Zun9LPhZXbzcy2qXBuuA3X3cB2o0sUFmXwZwLxC3AQAmG0K83KHazrZzNsuXh7Uy8d71X64Rx1HQ+o43KPXTvbpRF+/fvLGSf3kjZNm2zLrAlWutcqxNpyAqlxn0/IlhRl4JfMHCadxOJ1OOZ3OhKu3jKW3tzfm98LCQhUWcrACwFQtLszT+69cpvdfuUySNDA4pJeP95ojoJ7uDOpEX7+eP9St5w9169tP+CVJ161cYhYiv2tjKUUls1x/f7/6+/vN30eftzE5xE0AgNlkQX6ubllfrFvWF5u3nb80oJeO9ap9uB5U++EevXGqT0d7Lupoz0X922sjSaj1toWqXGc1RBsh4QABAABJREFUi5NXrLVl5UXMycZNJJyGhUIhSUpaHHOi1q1bF/P71772NT388MNp2TYAYERebo5ZXPIP77bLMAx1Bs/r6UBQzxwMJ6HePHVWr58M/+x+4T1J0pqiBbpruH7UXZtKdNPqIupAZZFdu3bp61//eqa7MWcRNwEA5qpFBXm6fWOJbt84cg472z+gA8d6wiOhhutCvXX6rN4LXdB7oQv60SsnzLabShapMqomlGOtdd6vqDzZuImE0zQ5fPiwioqKzN+5SgcAM8Nischeulj20sX63a3hP2JPn+3Xcwe7h6fhBdVxJKRjvRfV8tIxtbx0TJK0tDBPt28oNhNQt6yzaXEhp8n5qr6+Xl/4whfM33t7e+OSHpg5xE0AgExaUpinuzaV6q5NpeZtvRcva//R2CTUO2fOqTN4Xp3B82p9+bjZ9opli8NJqOGi5FvKrCpaMH+SUJONm7Iqkrbb7QoEAgnvi9QgiKy6MlVFRUUxgRMAIHOWLynUx25YpY/dsEpSeCj1vsMhcxrec4e61XtxQL98+7R++Xa4oGRejkWOMuvINLxNJczjn0eYsjU+4iYAQDYrWpCve8uX6d7yZeZtoQuX5TvSE14d73BI7Ud61Bk8r3fPnNO7Z87pXw6EL2RaLNJVyxarcp3NTEJtXmPVkjl6MXOycdPcfLWT5HA4zCHgo0UCKlZaAYD5b1FBXkwAMThk6NUTsXWgjvZc1IuHQ3rxcEh/+VT4HHHtiiW6216qe+wlutteqnW2hZl8GcC0Im4CACCWbWF+TC1RSeo6d0m+oz3Dq+OFa0K9F7qgt06f01unz+kffeFVlXMs0jUrlmjrOpsq19m0dZ1NN68pUmHe/F1ZOasSTlVVVWpoaEh4n9/vl9PpnOEeAQBmg9wci25eY9XNa6z63J2bZBiG3uu+oGcOBvV0IJyEeu1kn944dVZvnDqr5hcOSZI2Fi/U3fZS3W0v0T32Ul25bDGFyDFvEDcBADC+0sUFqrpquaquWm7edvpsvzpGjYQ62nPRrCn6f9qPSAqvrHzT6iIzAbV1nU3XrliivNycTL2ctLIYhmFkuhPpVFFRocrKyoSro4RCIW3atEkdHR1xQ8DLy8vV0NAgl8s1pefv7e2V1WpVT08PQ8MBYB45c65fz3SGE1BPB7q0/1ivBodiT6ErlhToHnup7toUTkDdSCHyOSNbz9/ETQAAzIwTvRfVfqRH+w6H1H44pH2HQzpz7lJcu0X5uXKstcYkocpLF82qi5qpnr/n3QinUChk1hUYzWazaffu3XK73WptbTVv93g8stvtUw6aAADz17LFhfr4Dav18RtWS5L6Lg7o+UPh6XdPB7r0q/dCOnX2kjwvH5dnuIhk0YI83bWxRHcNj4CqXGtTQd78uGKF+YG4CQCAmbGqaIE+ct0CfeS6lZIkwzB0qPuC9g0nn8JT8nrU1z+gZzqDeqZz5PxcvDBfletik1Bl1tlf2mFejHBqbGzUvn37FAgE5PP5JElOp1M2m007duyIC4i8Xq/a2tpUXl5u1iaoq6tLS1+4UgcA2al/YFD7Dof0VCCoZwJdevZgt/r6B2LaLMjL0W0bisPT8DaV6PYNxayEN0tk0/mbuAkAgNlpaMjQW6fPxiShDhzrVf/AUFzb1UWFqlxri0lClS4umJF+pnr+nhcJp9mEwAkAIEkDg0N6+Xivnhqegvd0ZzBu2HRejkUVa626a1O4EPmdm0pUsmhmAgXE4vydGex3AADGdmlgSK+e6B1OQoWLk792si+utIMkbSpZFFWU3CpHmU1LF6T/4iYJpwwhcAIAJGIYht48ddacgvdUoEuHQxfj2t24eqnu3hQuRH73plKtsS7IQG+zD+fvzGC/AwAwcecvDWj/0d6YelDvnDkX185iCa+ynO6V8Ug4ZQiBEwAgVYeC5/VUZ5dZiPyt0/GBQnnpIt1tL9U9w9Pw7LOsaOR8wfk7M9jvAACkR/f5S+oYVZT8SE/8xc1EK+Ndt3LphBa6IeGUIQROAIDJOtnXr2c6u8J1oDq7dOBYr0afpdcULTBHP91tL9H1K5cqh5Xwpozzd2aw3wEAmD4nei/G1IPadzikrvOX49pNdGU8Ek4ZQuAEAEiXnguX9dzBoJ7qDBcif/FwSJcHY0/bJYvydfemEt1TXqp77aW6eY11QleoEMb5OzPY7wAAzBzDMHQwOGplvKMhne0fjGs71sp4JJwyhMAJADBdLlwe1IvvdZuFyJ8/1K1zl2IDBOuCPN29qdRMQG0pK1Jebk6Gejx3cP7ODPY7AACZNThk6K1T8SvjXRpMvDLe1nU23VCSpz/7eAUJp5lG4AQAmCmXB4fkO9KjJwNdesrfpWcOBtV7cSCmzdLCPN25sdhMQFWusymfBFQczt+ZwX4HAGD2uTQwpFdO9GrfeyHtOxJOQr12ok+RhfGM/vPSdz9JwmmmETgBADJlYHBILx3v1RPvhlfBe7ozqNCF2Hn6i/JzdUdUAuqW9bYpr1QyH3D+zgz2OwAAc8O5/gHtPxYuSv78W0fVWnMvCaeZRuAEAJgtBocMvXK81xwB9VSgK65Q5IK8HN2+YSQBdeuGYi3Mz74EFOfvzGC/AwAw96R6/s6bwT4BAIAZlJtj0eYyqzaXWfVHd9s1NGTo9ZN9ZgLqyUCXTp29pMf9XXrc3yVJKsjN0a3rbWYC6vYNxVpcSLgAAACAiWGEU5pxpQ4AMFcYhqG3Tp/Vk/4uPRUI6kl/l471Xoxpk5dj0dZ1IwmoOzeWaOmC+ZeA4vydGex3AADmHlapyxACJwDAXGUYhvxd5/WE/4w5AupwKDYBlZtjkaPMqnvspbq3vFR3bSqRbWF+hnqcPpy/M4P9DgDA3EPCKUMInAAA84VhGDoYvBAzBa8zeD6mTY5F2rzGao6AutteopJFBRnq8eRx/s4M9jsAAHMPNZwAAMCUWCwWbSpdpE2li/TpreskSYdDF/TkcPLpKX+X3jlzTr6jPfId7dFfPRWQxSLduKpoOAFVonvspVq+pDDDrwQAAAAzjRFOacaVOgBANjnWc1FPBUYSUG+cOhvX5oZVS3Vveaned8Uy3WMv0bLFsy8Bxfk7M9jvAADMPUypyxACJwBANjvV1z+SgAp06ZXjfXFtblpdpHvLS3VfebgO1GyYgsf5OzPY7wAAzD0knDKEwAkAgBFnzvXrSX+XnvB36Ul/l149EZuAsljCCaj7ykt1X3l4BFRxBhJQnL8zg/0OAMDcQ8IpQwicAABILjIC6nF/l570n9HrJ2On4Fks0uY1Rbq3fJneV16qu+2lM7IKHufvzGC/AwAw95BwyhACJwAAUneyLzwC6nH/GT3p79Kbo2pA5VikLWXWcA2o8mW6a1OJrNOQgOL8nRnsdwAA5h4SThlC4AQAwOSd6L2oJ4an4D3hP6O3T5+LuT/HIjnKrLrvimW6r7xUd28q1dIFU190l/N3ZrDfAQCYe0g4ZQiBEwAA6XOs56Ke8J8xa0C9cyY2AZWbY1FFVALqzo0lk0pAcf7ODPY7AABzDwmnDCFwAgBg+hwJXdCTgS49/m64BpS/63zM/bk5Fm1dZxuegleqOzaWaEnh+Akozt+ZwX4HAGDuIeGUIQROAADMnMOhC3rCf2Y4AdWlzmBsAipvOAF13xXhVfDu3FisRQXxCSjO35nBfgcAYO4h4ZQhBE4AAGTOoeB5c/rd4/4zOtR9Ieb+/FyLbllnM6fg3b4hnIDi/J0Z7HcAAOaeVM/fU6+yCQAAMEtsKFmk3y1ZpN/duk6SdDB4Xo+/e8ZMQB0OXdSzB7v17MFu/Zn3HRXk5ujW9Tbdtqowwz0HAACYX0g4AQCAeWtjySL93i3r9Xu3rJdhGOocHgH1xLtn9Li/S0d7LurpzqCeevP8+BsDAABAykg4AQCArGCxWGQvXSx76WL9/nACyt91Xk/4z6jt5UNqyXQHAQAA5hESTgAAICtZLBZdsWyxrli2WNuvLVZLTaZ7BAAAMH/kZLoDAAAAAAAAmF9IOAEAAAAAACCtSDgBAAAAAAAgrUg4AQAAAAAAIK1IOAEAAAAAACCtSDgBAAAAAAAgrUg4AQAAAAAAIK1IOAEAAAAAACCtSDgBAAAAAAAgrUg4AQAAAAAAIK1IOAEAAAAAACCtSDgBAAAAAAAgrUg4AQAAAAAAIK1IOAEAAAAAACCtSDgBAAAAAAAgrUg4AQAAAAAAIK1IOAEAAAAAACCtSDgBAAAAAAAgrUg4AQAAAAAAIK1IOAEAAAAAACCtSDgBAAAAAAAgrUg4AQAAAAAAIK1IOAEAAAAAACCtSDgBAAAAAAAgrUg4AQAAAAAAIK1IOAEAAAAAACCt8jLdgdmssbFRkuT3+xUIBNTU1CS73Z7hXgEAAMw+xE0AACAaCack3G636uvrZbPZJEkej0fl5eXy+/0ETwAAAFGImwAAwGhMqUvC6/UqGAyav7tcLtlsNjU1NWWwVwAAALMPcRMAABiNhFMCoVBIgUBAgUAg5vaSkhKFQqHMdAoAAGAWIm4CAACJzKspdaFQSG63WzabTQ0NDUnbeb1etbW1qby83AyE6urqzPttNpu6u7vjHhcIBFRRUZH2fgMAAMw04iYAADCd5kXCye12KxAIaOvWrfJ6vXI6nUnbejwe7dmzR62treZtXq9XVVVVamtrS/q45uZm2e121dTUpLXvAAAAM4m4CQAAzASLYRhGpjuRThUVFaqsrExYMyAUCmnTpk3q7Ow0i1pGP662tjZhYBR5XEdHx7iFL3t7e2W1WtXT06OioqIpvRYAADAzsvX8TdwEAAAmKtXzd1bVcGppaZHdbo8LmiRpx44dSQtb7ty5U3v37mWVlQno7+/Xww8/rP7+/kx3BbMAxwNG45hANI6H2Ym4aWbxOUA0jgdE43hAtLl0PGRVwqm1tVUlJSUJ77Pb7fL5fHHFLSPL/Docjhno4fzR39+vr3/963PiQ4Dpx/GA0TgmEI3jYXYibppZfA4QjeMB0TgeEG0uHQ9ZlXBqb29PerUtcnv0Cisej0dVVVUxQVNzc/P0dhIAAGAWIG4CAABTkVUJp1AolHBYeLRI4OT1erVv3z6VlJTI5/PJ5/PJ4/HMQC8BAAAyj7gJAABMxbxYpS4dIgFVMBhUKBRSdXW1QqGQGhsbY9qNtSKLJEVqsB89elS9vb3m7YWFhSosLExvp2exyGuP3gfIXhwPGI1jAtEycTz09/fHDEXv6+uTNHIex9iIm9KP70VE43hANI4HRJtLcRMJpwRsNpu6u7sn9djIjr/uuuvS2aU5a926dZnuAmYRjgeMxjGBaLPheOjr65PVas10N+YU4qb0mg2fA8weHA+IxvGAaLPheBgvbiLhNCxS9DJZccxUrVmzRn6/X/n5+bJYLObt2XilDgCA2Wr0lTrDMHT58mWtWbMmg72aO4ibAADIHpONm0g4pVlOTg7LAAMAAKSAuAkAgPkrq4qG2+32mNVUogWDQbMNAABAtiNuAgAAU5FVCSeHw2EOAR8tElBFL+ULAACQrYibAADAVGTVlLqqqio1NDQkvM/v98vpdM5wj+af5uZm+f1++Xw+BYNBOZ3OpPsc2amxsVEOh4PPWxYLBAJyu92SwvVfbDYb3xNZyuPxxK1i1tDQYK6Ahswibpp+xE0YD3ETiJsQMSfjJmOecTgcRk1NTcL7uru7DZvNZvj9/rj77Ha70draOt3dm9fq6upi9m13d7fhdDoNm81mdHd3Z65jmDW6u7sNSXzWslhra6vhcDjivivq6uoy2CtkQl1dndHW1hZzm9/vNxwOB+eMGUTclDnETRgPcROImxAxV+OmeTelLhQKmXUFRrPZbNq9e7eZIY7weDyy2+1yuVwz0cV5yePxaMeOHTG1HGw2m1pbWxUKhVRdXZ3B3mG2aG5uznQXkEE+n087d+7U3r17Y74rdu7cKY/Hk8GeYab5fD5Jirtib7fbtXv3bu3cuTMT3cpKxE2ZQdyEVBA3ZTfiJkTM5bhpXkypa2xs1L59+xQIBMyfqqoq2Ww27dixIyYgcrlcstlscrvdKi8vN2sTjB6ahonZt29fwsDTZrOppqZGzc3NCoVCs3u4H6aV1+tlOHiWc7vdqq+vj/seqKqq0tatWzPTKWSE1+tN+p47HA4zsML0IG7KPOImjIe4CcRNiJjLcdO8SDjV1dVNqL3T6eQLPM2am5vl8/kSBqAVFRWSpPb2dvZ7FvP5fBP+rGL+8Pl88nq9am1tjbuvpqYmAz1CpjU1NSX8gzsQCLDy2TQjbso84iaMh7gpuxE3YbS5GjfNuyl1yIzKysqk90WuhpaUlMxQbzDbNDc3EzRluaamJtntdq7WQ1J41IzX61V1dXXcKmgNDQ1xU7iA+Ya4CWMhbgJxE6LN5bhpXoxwQuaNNbTe7/dLYunkbBUIBAiaIa/Xa159aWxslBSeOuL3+xMOF8f8ZrfbzQApcgXX6XSqublZVVVVjOrAvEfchGSImyARNyHWXI6bSDhh2jU3NzP0M4t5PB6u0kGBQEAOh0ONjY0xx0MgEFBFRYU6OjoInrJMXV2d7Ha7qqurVVVVJbvdrra2tlk9LByYCcRN2Y24CRJxE+LN1biJKXWYVm6328zIIvt4PB5WMYLJ5/PFHQ92u11Op3NWr66B6WOz2VRXVyen02kWrp7NhS+B6UbclN2ImxCNuAmjzcW4iYQTpo3P51Nzc7Pa2trIwGehyFLbsz3rjpmV6HioqKiQx+OJm5OO+c3tdisUCqmhoUFtbW1qamoyr9x6vd5Mdw+YccRN2Y24CYkQNyFirsZNJJwwbaqrq7V3715OnFmKKQEYLdl3QeT29vb2mewOMqi5uVmSYq7c1tTUyO/3m8PFCaSRbYibshtxE0YjbkLEXI6bSDhhWlRVVampqYmCl1nK5/Px3iNGKiutBAKBmekMMq6hoSHhlCG73a6Ojg5JmtVX64B0I27KbsRNGI24CdHmctxE0XCkXW1trdxu96yulo/pFQgEtGfPHjU1NcXcHsm879q1S3v27FFJSUlcG8xPDodj3MBorGXCMX+EQqExg2ibzab6+noCaWQN4iYQN2E04iZEzPW4iYQT0qqxsVHV1dVxQVMgEFAgECCYyhIulyth0ctQKKTi4mLV19dTFDPL7NixQ9XV1Qnvi5wgmUaSHWw2W0rDvjkekA2ImyARNyEecRMi5nrcxJQ6pI3H45HD4UgYHPl8vln7IQAw/Vwul2w2mzweT9x9ra2tqqmpoUhuFrHb7WMO/W5ra+MPbcx7xE0AkiFuQrS5HDcxwglp4fP51NTUpOrqarOomTQyFHjPnj3m/FJkr8gVmWAwmOGeIBNaW1tVW1srp9NpBknNzc0KBAJqbW3NbOcwo1pbW7Vt2zY1NDTEBEihUEhut1tut5tAGvMacRNSQdyU3YibEDGX4yaLYRhGpju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"text/plain": [ "
" ] @@ -256,12 +257,68 @@ " #integrated density of UBOs along line of sight (not include finite size effects)\n", " d_arr = np.linspace(0, s.source_dist, 1000) #kpc\n", " rho_ffp_mw = [s.mw_model.density_stars(d, l = s.l, b = s.b) for d in d_arr]\n", - " rho_ffp_m31 = [s.m31_model.density_stars(d, l = s.l, b = s.b) for d in d_arr]\n", " \n", " rho_ffp_interp = interp1d(d_arr, rho_ffp_mw)\n", - " rho_ffp_m31_interp = interp1d(d_arr, rho_ffp_m31)\n", "\n", - " return quad(rho_ffp_interp, 0, s.source_dist)[0] + quad(rho_ffp_m31_interp, 0, s.source_dist)[0]" + " return quad(rho_ffp_interp, 0, s.source_dist)[0] " + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(342.5953166917298, 4.609679258782221)" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "get_galactic_coords(249.34, -40.26)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_9682/3764316714.py:6: IntegrationWarning: The maximum number of subdivisions (50) has been achieved.\n", + " If increasing the limit yields no improvement it is advised to analyze \n", + " the integrand in order to determine the difficulties. If the position of a \n", + " local difficulty can be determined (singularity, discontinuity) one will \n", + " probably gain from splitting up the interval and calling the integrator \n", + " on the subranges. Perhaps a special-purpose integrator should be used.\n", + " quad(rho_ffp_interp, 0, s.source_dist)[0]\n" + ] + }, + { + "data": { + "text/plain": [ + "356283464.89542794" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "d_arr = np.linspace(0, 8.5, 1000) #kpc\n", + "rho_ffp_mw = [s.mw_model.density_stars(d, l = 342.5953166917298, b = 4.609679258782221) for d in d_arr]\n", + "\n", + "rho_ffp_interp = interp1d(d_arr, rho_ffp_mw)\n", + "\n", + "quad(rho_ffp_interp, 0, s.source_dist)[0] " ] }, { @@ -273,7 +330,7 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 17, "metadata": {}, "outputs": [], "source": [ @@ -282,31 +339,165 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 18, + "metadata": {}, + "outputs": [], + "source": [ + "# def get_n_events(s, p=1, finite=True):\n", + "# #get expected number of events for pdf-powerlaw. Note that you need to normalize this\n", + "# t_es = np.logspace(np.log10(s.cadence*2), np.log10(s.obs_time/2), 30) \n", + "# s.add_ffp(p)\n", + "# diff_rates = s.get_crossing_times_rates_ffp(t_es, finite=finite)\n", + "# # efficiencies = np.array([ogle_efficiency(t_e) for t_e in t_es])\n", + "# efficiencies = np.array([s.efficiency(t_e) for t_e in t_es])\n", + "# diff_rates_w_efficiency = diff_rates*efficiencies\n", + "# # rate_interp = interp1d(t_es, diff_rates)\n", + "# rate_interp = interp1d(t_es, diff_rates_w_efficiency)\n", + "# if s.cadence*2 > s.obs_time/2:\n", + "# raise ValueError(\"Cadence is too short relative to total observation time\")\n", + "# #? using 2x the cadence and 1/2 the observation time for now. Comparable to Fig 18 of https://arxiv.org/pdf/1701.02151.pdf sensitivity\n", + "# dnds = quad(rate_interp, s.cadence*2, s.obs_time/2)[0]\n", + "# # return s.n_sources*s.efficiency*dnds*s.obs_time\n", + "# return s.n_sources*dnds*s.obs_time\n" + ] + }, + { + "cell_type": "code", + "execution_count": 19, "metadata": {}, "outputs": [], "source": [ + "ms = np.logspace(-12, -3, 20)\n", "def get_n_events(s, p=1, finite=True):\n", - " #get expected number of events for pdf-powerlaw. Note that you need to normalize this\n", - " t_es = np.logspace(np.log10(s.cadence*2), np.log10(s.obs_time/2), 30) \n", " s.add_ffp(p)\n", - " diff_rates = s.get_crossing_times_rates_ffp(t_es, finite=finite)\n", - " # efficiencies = np.array([ogle_efficiency(t_e) for t_e in t_es])\n", - " efficiencies = np.array([s.efficiency(t_e) for t_e in t_es])\n", - " diff_rates_w_efficiency = diff_rates*efficiencies\n", - " # rate_interp = interp1d(t_es, diff_rates)\n", - " rate_interp = interp1d(t_es, diff_rates_w_efficiency)\n", - " if s.cadence*2 > s.obs_time/2:\n", - " raise ValueError(\"Cadence is too short relative to total observation time\")\n", - " #? using 2x the cadence and 1/2 the observation time for now. Comparable to Fig 18 of https://arxiv.org/pdf/1701.02151.pdf sensitivity\n", - " dnds = quad(rate_interp, s.cadence*2, s.obs_time/2)[0]\n", - " # return s.n_sources*s.efficiency*dnds*s.obs_time\n", + " diff_rates_mw = np.array([s.ffp.differential_rate_mw_mass(m, efficiency=s.efficiency, tcad = s.cadence*2, tobs=s.obs_time) for m in ms])\n", + " diff_rates_interp_log = interp1d(np.log10(ms), np.log10(diff_rates_mw))\n", + " def diff_rates_interp(m):\n", + " return 10**diff_rates_interp_log(np.log10(m))\n", + " dnds = quad(diff_rates_interp, min(ms), max(ms), epsabs=0, epsrel=1e-1, points=[min(ms), np.median(ms), max(ms)])[0]\n", " return s.n_sources*dnds*s.obs_time\n" ] }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 20, + "metadata": {}, + "outputs": [], + "source": [ + "s1 = Survey(**survey_param_dict[\"tess_1_1\"])\n", + "s2 = Survey(**survey_param_dict[\"tess_27_3\"])\n", + "s1.add_ffp(1)\n", + "s2.add_ffp(1)\n", + "diff_rates_mw1 = np.array([s1.ffp.differential_rate_mw_mass(m, efficiency=s1.efficiency, tcad = s1.cadence*2, tobs=s1.obs_time) for m in ms])\n", + "diff_rates_mw2 = np.array([s2.ffp.differential_rate_mw_mass(m, efficiency=s2.efficiency, tcad = s2.cadence*2, tobs=s2.obs_time) for m in ms])\n" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [], + "source": [ + "diff_rates_interp_log = interp1d(np.log10(ms), np.log10(diff_rates_mw1))\n", + "def diff_rates_interp(m):\n", + " return 10**diff_rates_interp_log(np.log10(m))\n", + "dnds1 = quad(diff_rates_interp, min(ms), max(ms), epsabs=0, epsrel=1e-1, points=[min(ms), np.median(ms), max(ms)])[0]" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [], + "source": [ + "diff_rates_interp_log = interp1d(np.log10(ms), np.log10(diff_rates_mw2))\n", + "def diff_rates_interp(m):\n", + " return 10**diff_rates_interp_log(np.log10(m))\n", + "dnds2 = quad(diff_rates_interp, min(ms), max(ms), epsabs=0, epsrel=1e-1, points=[min(ms), np.median(ms), max(ms)])[0]" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "1.1022634201901715e-18" + ] + }, + "execution_count": 23, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "s1.ffp.differential_rate_integrand(0.1, 3, 1, 1e-9, s1.ffp.mw_model)" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "1.2669100417706397e-18" + ] + }, + "execution_count": 24, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "s2.ffp.differential_rate_integrand(0.1, 3, 1, 1e-9, s1.ffp.mw_model)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(ms/3e-6, diff_rates_mw1, label=f\"Cadence = {s1.cadence*2:.2f}\")\n", + "plt.plot(ms/3e-6, diff_rates_mw2, label=f\"Cadence = {s2.cadence*2:.2f}\", ls='--')\n", + "plt.xscale(\"log\")\n", + "plt.yscale(\"log\")\n", + "plt.xlabel(r\"Mass [$M_\\oplus$]\")\n", + "plt.ylabel(r\"$d\\Gamma/dM$ [events/star/hr/mass]\")\n", + "\n", + "plt.ylim(1e-17, 1e-11)\n", + "\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "## 30 knm/s for vc, put everything at 1.5 kpc, use central telescope fov, run " + ] + }, + { + "cell_type": "code", + "execution_count": 26, "metadata": {}, "outputs": [], "source": [ @@ -333,9 +524,17 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 27, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 8/8 [04:16<00:00, 32.10s/it] \n" + ] + } + ], "source": [ "def compute_expected_num_events(survey_name_and_params):\n", " survey_name, param_set = survey_name_and_params\n", @@ -347,12 +546,12 @@ "survey_name_and_params_list = [(survey_name, params) for survey_name, params in survey_param_dict.items()]\n", "\n", "with Pool() as pool:\n", - " results = pool.map(compute_expected_num_events, survey_name_and_params_list)\n" + " results = list(tqdm(pool.imap(compute_expected_num_events, survey_name_and_params_list), total=len(survey_name_and_params_list)))\n" ] }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 28, "metadata": {}, "outputs": [], "source": [ @@ -366,17 +565,17 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 29, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ - "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_62782/2506563490.py:11: IntegrationWarning: The occurrence of roundoff error is detected, which prevents \n", + "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_9682/3079570761.py:9: IntegrationWarning: The occurrence of roundoff error is detected, which prevents \n", " the requested tolerance from being achieved. The error may be \n", " underestimated.\n", - " return quad(rho_ffp_interp, 0, s.source_dist)[0] + quad(rho_ffp_m31_interp, 0, s.source_dist)[0]\n" + " return quad(rho_ffp_interp, 0, s.source_dist)[0]\n" ] } ], @@ -390,7 +589,7 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 30, "metadata": {}, "outputs": [], "source": [ @@ -419,143 +618,143 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", - "\n", + "
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Survey Parameters and Expected Events
 Surveylbn_sourcesubo_factorobs_timeN/h finiteN/h pointfinite_factorSurveylbn_sourcesubo_factorobs_timeN/h finiteN/h pointfinite_factor
0tess_1_112.5-48.21.2e+052.2e+07657.65.7e-075.7e-071.0e+000tess_1_112.5-48.21.2e+052.2e+07657.63.8e-073.8e-071.0e+00
1tess_1_2335.0-52.61.2e+052.0e+07657.65.7e-075.7e-071.0e+001tess_1_2335.0-52.61.2e+052.0e+07657.63.2e-073.2e-071.0e+00
2tess_1_3300.0-45.01.2e+052.2e+07657.65.7e-075.7e-071.0e+002tess_1_3300.0-45.01.2e+052.2e+07657.63.8e-073.8e-071.0e+00
3tess_1_4276.4-29.81.2e+053.0e+07657.65.7e-075.7e-071.0e+003tess_1_4276.4-29.81.2e+053.0e+07657.66.4e-076.4e-071.0e+00
4tess_27_12.1-30.51.6e+053.5e+07657.62.1e-062.1e-061.0e+004tess_27_12.1-30.51.6e+053.5e+07657.62.3e-062.3e-061.0e+00
5tess_27_2334.2-37.61.6e+052.8e+07657.62.1e-062.1e-061.0e+005tess_27_2334.2-37.61.6e+052.8e+07657.61.7e-061.7e-061.0e+00
6tess_27_3303.9-37.31.6e+052.6e+07657.62.1e-062.1e-061.0e+006tess_27_3303.9-37.31.6e+052.6e+07657.61.6e-061.6e-061.0e+00
7tess_27_4276.4-29.81.6e+053.0e+07657.62.1e-062.1e-061.0e+007tess_max_cad_test276.4-29.81.6e+053.0e+07657.62.7e-062.7e-061.0e+00
\n" ], "text/plain": [ - "" + "" ] }, - "execution_count": 22, + "execution_count": 31, "metadata": {}, "output_type": "execute_result" } @@ -588,26 +787,97 @@ " .set_caption('Survey Parameters and Expected Events')\n", ")\n", "\n", - "styled_df\n" + "styled_df\n", + "\n", + "#! WHy doesn't ubo_factor seem to matter much?" ] }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 75, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.21569279999999996" + ] + }, + "execution_count": 75, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "#rough estimate of total # events for all fOv of tess\n", + "657.6 * 4 * (25 * 4.0e-07 + 25 * 1.8e-06 + 10*2.7e-06)" + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.0001636718405503131" + ] + }, + "execution_count": 44, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "vc = 30\n", + "dlstar = 1\n", + "tmin = 0.07\n", + "c = 3e8\n", + "GG = 6.67e-11\n", + "\n", + "vc**2 * tmin**2/(16 * GG * dlstar) * 2.626 * 10**(-6)* c**2 / (1.989 * 10**30)/(3e-6)" + ] + }, + { + "cell_type": "code", + "execution_count": 63, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "1.4953891158064225e-06" + ] + }, + "execution_count": 63, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "Rs = 2.25461e-11\n", + "# ds = 8.5\n", + "ds = 770\n", + "c = 3e5\n", + "Rs**2 / (4 * G * ds) * (dlstar/ds) * c**(2) / 3e-6" + ] + }, + { + "cell_type": "code", + "execution_count": 64, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "Total number of events detected by TESS, inluding finite-source effects: 0.006918011307385057\n", - "Total number of point events detected by TESS, point source: 0.0069189944304951624\n" + "Total number of events detected by TESS, inluding finite-source effects: 0.006521184517319793\n", + "Total number of point events detected by TESS, point source: 0.006521184517319793\n" ] } ], "source": [ - "#shooting for around 10ish total\n", - "\n", "tess_surveys = df[df['Survey'].str.startswith('tess')]\n", "\n", "total_finite_events_tess = (tess_surveys['N/h finite'] * tess_surveys['obs_time']).sum()\n", diff --git a/examples/figures/diff_rate_M_MW.pdf b/examples/figures/diff_rate_M_MW.pdf index ee91127304051ed65b07d78b731e835f79f83141..fa1030dcaf8ebb22609dbc3e038c75a71ac1689d 100644 GIT binary patch delta 4328 zcmZuv2{@E(+fIt?MJ3B?30bnt&d7|iZzcOamTbvO*$3l!OJ1Ue$k=zX8)e^n?P5Y= z>?Awchiv($|Np-K`1AeuaoopqALnzO=XGB9d9S6gK22pUO`-v2gs)y>uB?cn&!B%$ z?7*dcBiiodIJqDpz+Jc3>fx2AoY4ZUYhQMEyo^jz3YHTJnL!yFae8h7>W3O{RV8^N&tQCl16ykc&$=c9^j zn3bZU!p7QHuVW6`?pcR>nl4`_=fBS@bePuE*>4)8#@qyuA`7D)D^4pZwt!QTHfx43 z|NHbRd(r{M4{k}P1yXrp$owW(Q5XEXGRjmlNmG7e=(yK zneMyA7rO=wTzn5#k$foqDqySYVoDxVMHI!A8AmMvcOVf(aW42d+~3vdpXiyt;tPt| zI5Yd|{#vuGv9^m3-q!PQF%#XWQ6UTO=W!^c@C8yP#;VwI)tM7-YHytb68IEwa;T(| zCi~CTX|RCHakENZOU|>zPe}<2?BV48C_}P2JHA z`cG{U76KA+oaFpIi+`S`2Lr)ONWY0vYBJ!<|Q=Da-YM~azZXzFy$P5 z3gY!$Mj(olcdUr=A-aGyY>j^0YA$iO$xBh9`<}y3c_wkk!F|6GaU9<}=LRkh---q+ z0&v(r_MK7^J{|ZupkbAQeq~Bo3k`fe$+$MWrs{6(>tE&x{eW7=)vxZLBTaWEnQQ7M zGb?yidm9#0_WTzRzAiE*4MQDGL@i%hw9*2vW850OQ&42tnRQRO%~ijVhty_yznV1! 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z@+4V2E;u@9>R5w9u%8Nm@3<_@MDf%SsM zcpBjQTy1wG0m*J6EEjNQ0M3&@g-{eA0tH|>zE4)70IUoC98iz~7!Cy|8%MF~p%j5) zz<(|=XEDxyo?r+_>G;J2L?jm$)}@Pl}|!I$#=3zJ( z%De;yfhsZyf`BlHBC|ml1P)hZ(t|<4|2BvL0*{9km`@pWoEXL=2m&erAxs93G4Owx zfhZ|3pDIZ4I2=KSRLSu$h`EyEav?yb%8z-9N=%85F*peN?;Xdp wP{{v=d+`7MHAO`x!DAwvxjQfr3" ] @@ -306,8 +304,8 @@ "\n", "plt.text(3e-9, 1e-19, r\"$M^3$\", fontsize=16)\n", "plt.text(5e-5, 1e-16, r\"$M^0$\", fontsize=16)\n", - "plt.text(1e-3, 1e-13, r\"$M^{-1/2}$\", fontsize=16)\n", - "\n", + "plt.text(1e-3, 1e-13, r\"$M^{-3/2}$\", fontsize=16)\n", + "plt.text(5e-1, 1e-18, r\"$M^{-5/2}$\", fontsize=16)\n", "\n", "\n", "plt.xlabel(\"Mass [$M_{\\oplus}$]\")\n", @@ -318,6 +316,29 @@ "plt.show()" ] }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "3.2923163692374515e-22" + ] + }, + "execution_count": 17, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "diff_rates_interp_log = interp1d(np.log10(m_arr), np.log10(d_gamma_d_ms))\n", + "def diff_rates_interp(m):\n", + " return 10**diff_rates_interp_log(np.log10(m))\n", + "quad(diff_rates_interp, min(m_arr), max(m_arr), epsabs=0, epsrel=1e-1, points=[min(m_arr), np.median(m_arr), max(m_arr)])[0]" + ] + }, { "cell_type": "code", "execution_count": 13, diff --git a/examples/mock_roman.ipynb b/examples/mock_roman.ipynb new file mode 100644 index 0000000..46d0251 --- /dev/null +++ b/examples/mock_roman.ipynb @@ -0,0 +1,714 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "from LensCalcPy.survey import *\n", + "from LensCalcPy.ffp import *\n", + "from LensCalcPy.utils import *\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "import pandas as pd\n", + "from scipy.interpolate import interp1d, interp2d\n", + "from scipy.integrate import quad, nquad\n", + "from scipy import stats\n", + "\n", + "from tqdm import tqdm\n", + "from pathos.multiprocessing import ProcessingPool as Pool\n", + "import functools\n", + "from scipy.stats import poisson\n", + "import seaborn as sns\n", + "sns.set_palette(\"colorblind\")\n", + "\n", + "%load_ext autoreload\n", + "%autoreload 2" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "bh kick speed = 100\n", + "3e-7 pbh mass\n", + "f = 1e-4\n", + "long = 1.0\n", + "lat = -1.03\n", + "distribution of t_es\n", + "cadence =\n", + "tobs = 1875" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "plt.style.use(\"style.mplstyle\")\n", + "sns.set_palette(\"colorblind\")" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "def roman_efficiency(t):\n", + " '''\n", + " Takes in crossing time in hours and returns the efficiency of Roman\n", + " #Need to replace this eventually. Assume perfect efficiency for now\n", + " '''\n", + " return 1.0\n" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "survey_param_dict = {\n", + " \"mock_roman\": {\"l\": 1.0, \"b\": -1.03, \"source_dist\": 8.5, \"obs_time\": 1825*24, \"cadence\": 15/60, \"n_sources\": 1e7, \"efficiency\": roman_efficiency, \"A_t\": 1.34, \"survey_area\":0},\n", + "}" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "def scientific_format(x):\n", + " s = \"%.1e\" % x\n", + " mantissa, exponent = s.split(\"e\")\n", + " return r\"${} \\times 10^{{{}}}$\".format(mantissa, int(exponent))\n", + "\n", + "def scientific_format_less(x):\n", + " s = \"%.1e\" % x\n", + " mantissa, exponent = s.split(\"e\")\n", + " return r\"$10^{{{}}}$\".format(int(exponent))" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Survey(l=1.0, b=-1.03, source_dist=8.5, obs_time=43800, cadence = 0.25, survey_area=0, n_sources=10000000.0, efficiency=)" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "s = Survey(**survey_param_dict[\"mock_roman\"])\n", + "s" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Line of Sight" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "def plot_line_of_sight(s, ax):\n", + " d_arr = np.linspace(1, s.source_dist, num=1000)\n", + "\n", + " rho_ffp_mw = [s.mw_model.density_stars(d, l = s.l, b = s.b) for d in d_arr]\n", + " rho_ffp_m31 = [s.m31_model.density_stars(d) for d in d_arr]\n", + " rho_dm_mw = [s.mw_model.density_dm(d, l = s.l, b = s.b) for d in d_arr]\n", + " rho_dm_m31 = [s.m31_model.density_dm(d) for d in d_arr]\n", + "\n", + " ax.plot(d_arr, rho_ffp_mw, label=\"MW UBOs\")\n", + " ax.plot(d_arr, rho_dm_mw, label=\"MW DM\", linestyle=\"--\", color=\"C0\")\n", + "\n", + " ax.set_xlabel(r\"$d$ [kpc]\", fontsize=16)\n", + " ax.set_ylabel(r\"$\\rho$ [M$_\\odot$/$\\mathrm{kpc}^3$]\", fontsize=16)\n", + " ax.set_title(r'MW Survey - LoS: l = ${:.2f}^\\circ$, b = ${:.2f}^\\circ$'.format(s.l, s.b), fontsize=16)\n", + "\n", + " ax.legend(fontsize=14)\n", + "\n", + " ax.set_yscale(\"log\")\n", + " ax.set_xlim(1e0, s.source_dist)\n", + " ax.set_ylim(1e5, 1e10)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_line_of_sight(s, plt.gca())" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [], + "source": [ + "# Define Time Array\n", + "t_es = np.logspace(np.log10(s.cadence)-0.5, np.log10(s.obs_time)+0.5, 30) #hours" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [], + "source": [ + "#Power law index\n", + "p = 1\n", + "# m_pbh = 3e-7\n", + "m_pbh = 30\n", + "s.add_ffp(p)\n", + "s.add_pbh(m_pbh)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Differential Rates" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 30/30 [00:56<00:00, 1.89s/it]\n" + ] + } + ], + "source": [ + "pbh_tes_finite = np.array([s.pbh.differential_rate_mw(t, finite=True, v_disp= 220) for t in tqdm(t_es)])\n" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 30/30 [02:00<00:00, 4.02s/it]\n" + ] + } + ], + "source": [ + "M_norm = 3e-6\n", + "Z_fiducial = 10\n", + "z_earth = Z_fiducial/(s.ffp.Z*(M_norm/s.ffp.M_norm)**(-p))\n", + "\n", + "ffp_tes_finite = np.array([s.ffp.differential_rate_mw(t, finite=True, v_disp=None) for t in tqdm(t_es)])\n", + "ffp_tes_finite = ffp_tes_finite*z_earth\n" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.loglog(t_es, pbh_tes_finite, label=\"PBH\", linestyle=\"-\")\n", + "plt.loglog(t_es, ffp_tes_finite, label=\"FFP\", linestyle=\"--\")\n", + "\n", + "plt.xlim(s.cadence, s.obs_time)\n", + "plt.ylim(1e-16, 1e-6)\n", + "plt.xlabel(r\"$t$ [hr]\")\n", + "plt.ylabel(r\"$d\\Gamma/dt$ [events/star/hr/hr]\")\n", + "plt.title(\"m = {}\".format(s.pbh.mass) + r\"$M_\\odot$, p = {}\".format(s.ffp.p))\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [], + "source": [ + "def gamma_of_t(dgamma_dt, t):\n", + " t_min = t * 10**(-0.5)\n", + " t_max = t * 10**(0.5)\n", + " diff_rates_interp_log = interp1d(np.log10(t_es), np.log10(dgamma_dt))\n", + " def diff_rates_interp(t):\n", + " return 10**diff_rates_interp_log(np.log10(t))\n", + " return quad(diff_rates_interp, t_min, t_max)[0]" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [], + "source": [ + "t_es_limited = np.logspace(np.log10(s.cadence), np.log10(s.obs_time), 30) #hours" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_29654/802835049.py:4: RuntimeWarning: divide by zero encountered in log10\n", + " diff_rates_interp_log = interp1d(np.log10(t_es), np.log10(dgamma_dt))\n", + "100%|██████████| 30/30 [00:00<00:00, 1267.68it/s]\n", + "100%|██████████| 30/30 [00:00<00:00, 2172.46it/s]\n" + ] + } + ], + "source": [ + "gammas_pbh = np.array([gamma_of_t(pbh_tes_finite, t) for t in tqdm(t_es_limited)])\n", + "gammas_ffp = np.array([gamma_of_t(ffp_tes_finite, t) for t in tqdm(t_es_limited)])" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.loglog(t_es_limited, gammas_pbh, label=\"PBH\", linestyle=\"-\")\n", + "plt.loglog(t_es_limited, gammas_ffp, label=\"FFP\", linestyle=\"--\")\n", + "\n", + "plt.xlim(s.cadence, s.obs_time)\n", + "plt.ylim(1e-16, 1e-6)\n", + "plt.xlabel(r\"$t$ [hr]\")\n", + "plt.ylabel(r\"$d\\Gamma(t)$ [events/star/hr]\")\n", + "plt.title(\"m = {}\".format(s.pbh.mass) + r\"$M_\\odot$, p = {}\".format(s.ffp.p))\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [], + "source": [ + "def my_cdf(sample, x):\n", + " # Counts how many observations are below or equal to x and normalize\n", + " return np.sum(sample <= x) / len(sample)" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [], + "source": [ + "def sample_crossing_times(t_es, gammas, n_samples):\n", + " norm_gammas = gammas/np.sum(gammas)\n", + " cdf = np.cumsum(norm_gammas)\n", + " \n", + " samples = []\n", + " for _ in range(n_samples):\n", + " r = np.random.rand()\n", + " t_e_sample = np.interp(r, cdf, t_es)\n", + " samples.append(t_e_sample)\n", + " return np.array(samples)" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "num_samples_pbh = 1000\n", + "num_samples_ffp = 1000\n", + "\n", + "samples_pbh = sample_crossing_times(t_es_limited, gammas_pbh, num_samples_pbh)\n", + "samples_ffp = sample_crossing_times(t_es_limited, gammas_ffp, num_samples_ffp)\n", + "\n", + "num_bins = 20\n", + "bin_counts_pbh, bin_edges_pbh = np.histogram(samples_pbh, bins=np.logspace(np.log10(s.cadence), np.log10(s.obs_time), num_bins))\n", + "bin_counts_ffp, bin_edges_ffp = np.histogram(samples_ffp, bins=np.logspace(np.log10(s.cadence), np.log10(s.obs_time), num_bins))\n", + "\n", + "# Plotting the histogram\n", + "plt.bar(bin_edges_pbh[:-1], bin_counts_pbh, width=np.diff(bin_edges_pbh), align=\"edge\", edgecolor=\"black\", label=\"PBH\", alpha=0.5)\n", + "plt.bar(bin_edges_ffp[:-1], bin_counts_ffp, width=np.diff(bin_edges_ffp), align=\"edge\", edgecolor=\"black\", label=\"FFP\", alpha=0.5)\n", + "plt.xscale('log')\n", + "plt.xlabel(\"$t_E$ [hr]\")\n", + "plt.ylabel(\"Count\")\n", + "plt.title(r\"$M_{\\rm{PBH}} = $\" + scientific_format_less(s.pbh.mass) + r\"$M_\\odot$, p = {}\".format(s.ffp.p))\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Stats" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [], + "source": [ + "def ks_2samp(sample1, sample2):\n", + " # Gets all unique observations\n", + " observations = np.unique(np.concatenate((sample1, sample2)))\n", + " \n", + " # Computes the CDF for both samples at each observation\n", + " cdf_sample1 = np.array([my_cdf(sample1, x) for x in observations])\n", + " cdf_sample2 = np.array([my_cdf(sample2, x) for x in observations])\n", + "\n", + " # Computes the KS statistic\n", + " D_ks = np.max(np.abs(cdf_sample1 - cdf_sample2))\n", + "\n", + " # Calculates the P-Value based on the two-sided test\n", + " m, n = float(len(sample1)), float(len(sample2))\n", + " #Should this just be m or n if they're the same length?\n", + " en = m * n / (m + n)\n", + " p_value = stats.kstwo.sf(D_ks, np.round(en))\n", + "# print(D_ks, np.sqrt((m + n)/(m * n))*1.36)\n", + " # p_value = stats.kstwo.sf(D_ks, np.round(np.sqrt(en)))\n", + "\n", + " return {\"ks_stat\": D_ks, \"p_value\" : p_value}" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Fraction of pbh samples needed to distinguish: 0.065\n" + ] + } + ], + "source": [ + "num_samples_pbh_temp = 0\n", + "while True:\n", + " samples_pbh = sample_crossing_times(t_es_limited, gammas_pbh, num_samples_pbh_temp)\n", + " samples_ffp = sample_crossing_times(t_es_limited, gammas_ffp, num_samples_ffp)\n", + " samples_both = np.concatenate((samples_pbh, samples_ffp))\n", + " ks = ks_2samp(samples_ffp, samples_both)\n", + " if ks[\"p_value\"] < 0.05:\n", + " break\n", + " num_samples_pbh_temp += 5\n", + "\n", + "print(\"Fraction of pbh samples needed to distinguish: \", num_samples_pbh_temp/num_samples_ffp)" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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D7e7uEpQBRC64e/HRqRInqVQqkjR2dzgmKAMYKx+be0Gf/KQVdRkAcGE5jiPbtnuaN+z7vra2tpTP51Uul5VIJEZQYXgIygAAADAqFosdc4SDxX3lcrnrNaVSqWPOcaPRUCqVOnHHiiB8HxbcGTlKBGUAAAAYDbIlWyaTObY4z3VdLSwsqFgsKpPJHLsmn88bX6dUKvX12mF7KtJXBwAAwMSLx+PtvZDHCUEZAAAAQxeMGLuuG3ElvSMoAwAAYOiCgNzPbhlRY44yAABAn+43fxx1CceEWVOw33FYC+oqlYpqtVrXnTJMrxMcu3PnTig1DIKgDAAA0KOZmRldnnlOd/7qm/ow6mIMLs88d+ptmU/i+77W19fb+x47jqN4PH7iVnBHr1ldXW1Ps/B9v73vcrVabW8Pd9rrFAoFVatVSZ17MPe7sPCsplqtVmukrzjB+rl3OHAWF/FWzp7n6Xe/8Yr+0Rf/wYXbR/lHP/L17T/+G/2Lf/Z/6Gd+5meiLge48N59913t7e1FXYbRzMyMPv7xj0ddxrnWT15jRBkYMxf1Vs4fvH9Pt956S7/4IUERQLQ+/vGPE0YvCIIyMGYu6q2c/7bxIzW+9QMdHBxEXQoA4IIgKANj6qLdyvmd987nx5wAgMnF9nAAAACAAUEZAAAAMCAoAwAAAAYEZQAAAMCAoAwAAAAYEJQBAAAAA4IyAAAAYEBQBgAAAAy44QgAAEAfdnd3de/evajLMHruuec0OzsbdRkTg6AMAADQo93dXf2L3/3ftf/+e1GXYjT9wsf0T37rnxKWQ0JQBgAA6NG9e/e0//57+qX4c7psPR91OR3u+B/oz9z3dO/evYGDsu/7chxHtVpNnucpkUjItm1ZliXf9+V5nur1unzfV6vVCq19oNlsamlpSblcLqwfy5kQlAEAAPp02Xpen/jYi1GXYXC2KSGWZalYLKpUKimbzapYLHYEWelJmL5+/bo8z5Nt26G3TyaT2tzc1Pb29pm+lzCwmA8AAAA9syxLa2tr8jxv4PaxWKxr+2KxKNd1VSgUzlzrWRGUAQAA0JdEItFzUO63fTDCXK1WB6otTARlAAAAnMrzPNVqNUlPRokTiUSo7Q9fJ0nxePwM1YaDoAwAAIBTHR0RPjq3+KztA47jyLZt5fP5/gocAhbzAQAAwCifz7d3sNja2lK5XA61fbFY1OXLl9uPG42GbNs+9bpRISgDAADAKBjd9X1/KO2z2WzPI81RYOoFAAAATmRZlhzHGVr784oRZQAAAJzKtu2+Rn/7bX8eMaIMAAAAGBCUAQAAYNTrXON+2zebzYGef9SYegEAANCnO/4HUZdwTBg1+b6v9fV1VSoVSdLq6qoSiYSSyaRxH+SztnccR/F4/FxsBWdCUAYAAOjRc889p+kXPqY/c9+TdC/qco6ZfuFjeu655wa+3rIs5fP5noPrsNtHjaAMAADQo9nZWf2T3/qnunfv/IVk6UmQn52djbqMiUFQBgAA6MPs7Cxh9IJgMR8AAABgQFAGAAAADAjKAAAAgAFBGQAAADAgKAMAAAAGBGUAAADAgKAMAAAAGBCUAQAAAAOCMgAAAGDAnfkAAAD6cP/+fT148CDqMoyeeeYZXbp0KeoyJgZBGQAAoEf379/Xt/7tn2nnww+iLsVo7tnn9ctf+CXCckgIygAAAD168OCBdj78QJfsv6dnn3su6nI6fHjvnna8H+rBgwcDB2Xf9+U4jmq1mjzPUyKRUDweb59rNpuKxWLK5/OyLGug55fUca3runIcR/V6XeVyWYlEYqDah4GgDAAA0Kdnn3tOz8+8GHUZx9w/4/WWZalYLKpSqSidTqtcLh8LxNlsVlevXtWtW7f6Dsv1el2xWKwdviUpHo+rWq1qamrqjNWHb6wX85VKJTmOo2QyqYWFBTmOY2yXTqeVzWbluq6kJ3/N1Go1pdPp9rHDarWaHMdRqVRSoVBQoVAY6vcBAAAwLvL5fHvkuV/lcrnruUFGqIdtbEeUHcdRNptVJpOR9CT8ptNpzc3NHfsLx/d9VSoVlUql9jHLslQulzv+opGkSqWizc3Njo6s1WpKJpOqVqvD/aYAAADOuSBjNZvNvq6r1WoqlUrKZrNDqGo4xjIoVyoVraysyLbt9rEg+M7NzSmdTneE2ng8Lsdx2qPHtm0rlUode17f97W6uqpbt251HE8kEu0R5iCYAwAAXESVSkWSjgVe13W1ubmp+fl5SU9yVS6Xk/QkJAeDkOvr6+0Ml8/njz1/MLDZaDS6thmVsQzKN2/eNAZdy7KUyWRUKpXk+37HqHIikTh1cvjW1pZs2zYO/a+srKhYLBKUAQDAheT7vra2tpTP548tuqvVasrn8x0DlYfnOQc5rFQqaW1t7dgn+oFyudyxUHBubk5LS0vG3DcKYzlHuVQqKZlMGs8tLCxIejJZvF/lclmxWMx4zrZtua7bXq0JAAAw6UqlUvtra2tLjUZDqVSq41N96cno8tE5y6lUSrVarT0C3QvLsjoGLBcXF3Xz5s0zfQ9nMZYjyouLi13PBUG2W+A9Sb1e1/LysvFc8D+E53ld/woCAACYJJlM5tgn7a7ramFhof1Ju+u68jzPmM8SiYQ2Nzd7HhFeWlrqeBz1Ar+xDMonLaoL5rMcDbOe56lWq3W0W1tbO7bo77QOISgDAICLLB6PK5VKtTdVCD7F75ahPM8bYXXhGsugfBLTgjvP8+S6bsfx4K+h7e3tnv5a6WeF597eXsfj6elpTU9Pn148AADAGAg+aXddt/3f3QYcj07TCHie176pyTDt7+9rf3+//fhoTjvJWM5R7sZxHNm2fWx1ZLlcPjbkH4/HFY/Htbq6GnodV65c0ezsbPtrfX099NcAAACISrCTWDweVyKRkGVZHZ/cB4ItdrsZZKpsv9bX1zty2ZUrV3q+dmKCsuu6KpVKqlarPc9nSSaTPU8w72fu8+3bt7W7u9v+Wltb6+k1AAAAzrtKpdLe5SKwsbFxbGCwVCppcXGx4xP9eDzenqrhuu6p01l93z/zRgpra2sduez27ds9XzsxUy/S6bRu3LjRdXjfJAi9vXRUP2ZmZjQzMxPa8wEAgPPlw3v3oi7hmDBq8n1f6+vr7YHE1dXVjqkVwXzjarXaMWUi2AnDcRzNz8+3w+3RdWUbGxtyHEe+73dM3ygWi+3XbjabWl5e1vr6uur1ejtYF4vFgb6ns0yBnYignEwmVSwWjWE3m83KsizjZtVH5x3btt11wvnhNgAA4GJ65plnNPfs89rxfqj7URdjMPfs83rmmWcGvj7ITIPc5COY1npam6PhOR6Pq1gsHgvCg9YRprEPysG+fd0mgm9tbXU9F4TiYDuTeDzedXg/aMuOFwAAXFyXLl3SL3/hl/TgwYOoSzF65plndOnSpajLmBhjHZQLhYLS6fSxIHx4FWUmk+n610i1Wu24E18ymezattFoDH1VJgAAOP8uXbpEGL0gxnYxX6VSaa+0POrwViVLS0vtlZmH+b6vSqXSEYyXl5fVbDaN0y8qlcqxe5oDAABgco3liHIw6TudTqtUKrWPB9MmNjc3tb29LUntDbGz2WzHtInr168rk8l0bBtnWVZ7knm5XG4fr1Qqsm07svuMAwAAYPTGMihfv35dvu8b9+uTji+4KxaLKhQK2tzclO/7ajabWltbMwbfVColy7JOXbUJAACAyTaWQXlnZ6fva3K5XM9tE4kE85EBAAAuuLGdowwAAAAME0EZAAAAMCAoAwAAAAYEZQAAAMCAoAwAAAAYEJQBAAAAA4IyAAAAYEBQBgAAAAwIygAAAIABQRkAAAAwICgDAAAABgRlAAAAwICgDAAAABgQlAEAAAADgjIAAABgQFAGAAAADAjKAAAAgAFBGQAAADAgKAMAAAAGBGUAAADAgKAMAAAAGBCUAQAAAAOCMgAAAGBAUAYAAAAMCMoAAACAAUEZAAAAMCAoAwAAAAYEZQAAAMCAoAwAAAAYEJQBAAAAA4IyAAAAYEBQBgAAAAwIygAAAIABQRkAAAAwICgDAAAABgRlAAAAwICgDAAAABgQlAEAAAADgjIAAABgQFAGAAAADAjKAAAAgAFBGQAAADAgKAMAAAAGBGUAAADAgKAMAAAAGBCUAQAAAAOCMgAAAGBAUAYAAAAMCMoAAACAAUEZAAAAMCAoAwAAAAYEZQAAAMCAoAwAAAAYEJQBAAAAA4IyAAAAYEBQBgAAAAwIygAAAIABQRkAAAAw+GjUBZxFqVRSo9GQ67pqNptKJBLK5/PGtrVaTdVqVfPz8/J9X5KUy+XO3BYAAACTaWyDsuM4ymazymQykiTf95VOpzU3N6dbt27Jsqx220qlos3NTZXL5faxWq2mZDKparXa8bz9tAUAAMDkGsupF5VKRSsrK7Jtu33MsiyVy+V2YA74vq/V1VVtbGx0PEcikVCz2VSpVBqoLQAAACbbWAblmzdvKh6PHztuWZYymYxqtVp7ysTW1pZs2+4YYQ6srKyoWCy2H/fTFgAAAJNtLINyqVRSMpk0nltYWJAk1et1SVK5XFYsFjO2tW1bruu2Q3U/bQEAADDZxjIoLy4udj0XBNkg8Nbr9Y4pGocFxz3P67stAAAAJttYBuVqtdp1YV2j0ZCk9tQM3/eNUykOC8JvP20BAAAw2cZ214tuSqVSeyeM0wShuNlshtp2b2+v4/H09LSmp6d7qgkAAADh2d/f1/7+fvvx0Zx2krEcUe7GcRzZtt11L+VRuXLlimZnZ9tf6+vrkdYDAABwUa2vr3fksitXrvR87cSMKLuuq1KppO3t7VOnTwSOzmcOq+3t27c1MzPTfsxoMgAAQDTW1tb08ssvtx/v7e31HJYnJiin02nduHGj62K8UZqZmekIygAAAIjGWabATsTUi2QyqWKxaNxb2bbtrgvwgvnGQbjupy0AAAAm29gH5Ww2K8dxlEgkjOfj8XjXvY+DUBwE7H7aAgAAYLKNdVAuFApKp9PHQrLnearVapKejDZ3GyVuNBod1/bTFgAAAJNtbINypVJRPB43hlfXddtTJJaXl9VsNo0BuFKpKJvNth/30xYAAACTbSwX87muq2KxqHQ6rVKp1D4eTJvY3NzU9va2pCf7H29sbMhxHJXL5XbbSqUi27aVSqXax/ppCwAAgMk2lkH5+vXr8n2/Pb3iqKML7lKplCzLkuM4mp+fbwdq0939+mkLAACAyTWWQXlnZ6fvaxKJRM9zjPtpCwAAgMk0tnOUAQAAgGEiKAMAAAAGBGUAAADAgKAMAAAAGBCUAQAAAAOCMgAAAGBAUAYAAAAMCMoAAACAAUEZAAAAMCAoAwAAAAZjeQtrQJLefvtt7e7uRl3GyHmep4MHD6IuAwCAiUdQxlh6++239Zsvf1l3H9yNupSR++D9e7r11lv6xQ9/JupSAACYaARljKXd3V3dfXBX8V/4tD4290LU5YzU3zZ+pMa3fqCDg4OoSwEAYKIRlDHWPjb3gj75SSvqMkbqnff2oi4BAIALgcV8AAAAgAFBGQAAADAgKAMAAAAGBGUAAADAgKAMAAAAGBCUAQAAAAOCMgAAAGBAUAYAAAAMCMoAAACAAUEZAAAAMBjpLay/973vSZJisZhmZmZG+dIAAABAX0INyr/+67+ub3zjG13PV6tVSZLv+2o0Gvrc5z6n3/qt3wqzBAAAACAUoQblWq124vnV1dWOx6+99pp+93d/l7AMAACAcyfUOcqtVquv9teuXVOj0QizBAAAACAUoQblqampvq/xPC/MEgAAAIBQhBqUm81mT+329vb0+uuv6wtf+EKYLw8AAACEZqA5ysvLy/I8T57naXd3t+PcRz7ykZ6fx7bt9gI/AAAA4DwZKChvbW21/7tWqymfz+vGjRuamprS9evXe3qOZDKpTCaj2dnZQUoAAAAAhurMu14kEgklEglls1l95zvf0be//e0w6gIAAAAiFdoc5WKx2PeuFwAAAMB5FepiPsdxwnw6AAAAIDKhBuWjNxTpxU//9E+HWQIAAAAQilCD8iDu3LkTdQkAAADAMaHewlp6skdyqVRStVo9dV9l0/ZyAAAAwHkQalDe3d3V1atX5ft+z9cMcjc/AAAAYNhCn6O8uLio7e1tPX78+NSvZrMpy7LCLAEAAAAIRagjyp7nqV6v99zesizNzc2FWQIAAAAQilBHlBcXF/u+plwuh1kCAAAAEIpQg/Igo8PXrl0LswQAAAAgFKEG5Vgspu9973t9XfOd73wnzBIAAACAUIQalL/yla/olVde0d7eXs/XZLPZMEsAAAAAQhH6Psqvvvqq1tbWJEnJZFK2bSsWixnbNhqNU/daBgAAAKIQalB+6qmnOvZFLhQKYT49AAAAMDKhBmXbtuV5nhKJRE/7IzcaDb3++uthlgAAAACEItSgbFmWKpWKfvVXf7Xnay5fvhxmCQAAAEAoQt9H2bbtvq65evVqmCUAAAAAoQh1RPnVV1/t+5p+7uQHAAAAjEqoI8oAAADApIg0KO/u7mppaSnKEgAAAACjSINyvV6X7/tRlgAAAAAYhTpHud/RYdd1e9pGDgAAABi1UINyo9HoeYTYsizNzs6G+fIAAABAaEKdemHbtrLZrB4/ftz1a2dnR1tbW1peXpbrurpz506YJQAAAAChCDUox2IxpdPpE9vMzs4qlUrp1VdfVbFY1N7eXpglAAAAAKEINSgXi0V9/vOf77n9+vq61tfXB3493/eVzWblOE7XNul0WtlsVq7rtq+p1WpKp9PtY4fVajU5jqNSqaRCoaBCoTBwfQAAABhfoc5RHuQue61Wq+9rHMeR53laWlpSrVZTIpHo2tb3fVUqFZVKpfYxy7JULpcVj8c72lYqFW1ubqpcLreP1Wo1JZNJVavVvusEAADA+Ao1KA9id3e372vy+Xz7vzc3N09sG4/H5ThOe/TYtm2lUqlj7Xzf1+rqqm7dutVxPJFItEeYM5lM37UCAABgPEUelD3PG/prJBKJE0edJWlra0u2bRu3q1tZWVGxWCQoAwAAXCChBuV+FuZ5nqf19XXZth1mCQMrl8uKxWLGc7Zty3Vd+b7Pvs8AAAAXRKhB2bIsTU1N9dX+6FSHqNTrdS0vLxvPBWHe87xj85oBAAAwmUINyrZty/M84xzgw2KxmBYWFrS8vKyZmZkwSzDyPE+1Wq39uNFoaG1trWN0uJfRYoIyAADAxRH6iHKpVNKXvvSlMJ/2TDzPk+u6HfOLXdfVwsKCtre3e5pKEbRpNps9vebRKSjT09Oanp7uuWYAAACEY39/X/v7++3H/UwVDjUoLy4unps5x4HDW70F4vG44vG4VldXjefP6sqVKx2Pv/a1r+nrX/966K8D4OLY/3B/JIufz6PZ2Vl94hOfiLoMAGNqfX1dv/M7vzPQtaEG5VdffTXMpxuqZDKpbDbbU1vf9yWp62K/o27fvt0xpYTRZABnsfv+ff2d9z298nv/TJeeuxR1OSP34jMv6vf++b8kLAMYyNraml5++eX24729vWODmt0MfXu4vb09eZ6nZrMp27b12c9+dtgv2ZMg9LquG/q845mZmZHMvQZwMex/eKDW01P6B//Tp3T1yk9FXc5Ivbfzvtx//wPt7u4SlAEM5CxTYIcWlF9//XWtrq4eu030/Py88vm8fuVXfmVYL92WzWZlWVbHDUoCR+cdBwsRTQ63AYCozFnP65OftKIuAwAujKeG8aQvvfSS4vG4tre3NTs7q6tXr+rq1auanZ3VG2+8oVQqpV/7tV8bxkt32Nra6hp+g+OLi4uSnsxbDqZYdGvLjhcAAAAXR+hBeW1tTfV6XdVqVY8fP1az2dQbb7yhN954Q81mUzs7O/rGN76her2uL3/5y2G/fIdMJtN1sV61Wu24E18ymewaqhuNxql39gMAAMBkCTUov/baa6pWq6rX67p+/bqxzezsrDKZTDs8v/7662GW0GFpaenY1A/pyeK8SqXSMSVjeXlZzWbTGJYrlUrPC/8AAAAwGUINyqVSSTdu3Oi5/dbWltbX18/0mr7vd93fOJVKqVgsHgvL169fVyaT6bgximVZ2tjYkOM4HW0rlYps2z71JioAAACYLKEu5mu1Wpqdne25vWVZ2tnZ6ft1CoWCbt68Kc/z2l/JZFKWZWllZaUj1BaLRRUKBW1ubrZD9dramjH4plIpWZYlx3E0Pz/fnrNcrVb7rhEAAADjLdSgPDc31/c1g+wkkcvlhtY+kUgwHxkAAADhTr3otmvESQYZUQYAAACGLdSg3Gq19P3vf7/n9q+//vpAo9AAAADAsIU69SKXyymRSMh1Xb344osntr1165auX7+u7e3tMEsAAAAAQhHqiLJt21pfX9dnP/tZ/fZv/7Zef/117e3ttc/v7e3pO9/5jlZWVvS5z31Or7zyyrm5pTUAAABwWOi3sE6lUmo2m3rppZeMt46WnkzRyOfzWl1dDfvlAQAAgFAM5RbWmUxGzWZTX/rSlzQ7O6tWq9X++uIXv6hGo6GvfOUrw3hpAAAAIBShjygHLMtSsVhUsViUJO3u7va1xzIAAAAQpaGMKJsQkgEAADBOeh5R/upXv6rd3d2u5y3LMt6O+rXXXlOxWNTi4qISiQSL9wAAADAWeg7Ka2tryuVy2tjY0NTUlFqtlizLUiKRUDKZ1PLysvG6a9euKZ/Py/M8vfLKK9rZ2VE+nycwAwAA4FzreerF7OysisWitre31Wq15DiOms2mtra2tLq6euLUitnZWV27dk2vvvqq1tfXlclk9Od//uehfAMAAADAMPS1mG93d1df/epXtb29rWvXrg30grZt69vf/raWl5cVi8X0sz/7swM9DwAAADBMfS3my2QyyuVyA4fkw0qlkr70pS+d+XkAAACAYeg5KN+4cUNXr17V9evXQ3lhy7K0vLysb37zm6E8HwAAABCmnoNyqVTSSy+9FOqLp1Kp9j7LAAAAwHnSc1B2XTf0nSquXr0qz/NCfU4AAAAgDCO74QgAAAAwTnoOys1mcygFDOt5AQAAgLPoOShfvXpVr7/+eqgv/tprr+nq1auhPicAAAAQhp6DciKRCH3hXalUUjKZDPU5AQAAgDD0HJSXl5dVKpX0/e9/P5QXvnXrlkqlklZWVkJ5PgAAACBMPQfleDyuz3/+80qn06G88PLyshKJhH7u534ulOcDAAAAwtTXLayLxaI+97nP6ed//ud148YNvfjii32/4N7enj7/+c/rtddeU6PR6Pt6AAAAYBT62h7Otm1tbW2pXq/r6tWr+sM//MO+XuwP/uAPdPXqVb322mva2toKfV9mAAAAICx9jShLT+6m9+qrr+qll15SJpNRLpfT8vKyksmkbNuWZVmKxWJqNpvyfV+e56larWpra0u+76vVaqlYLOqLX/ziML4fAAAAIBR9B2VJymQyWlxcVDqdbi/KK5VKJ17TarVk27bK5bKuXbs2ULEAAADAqAx8Z754PK5Go6FXX31V165dU6vV6vp17do1FYtFvfHGG4RkAAAAjIWBRpQPy2QyymQy2t3dVb1el+d58n1flmXJtm0tLi5qdnY2jFoBAACAkTlzUA7Mzs7q+vXrun79elhPCQAAAERm4KkXAAAAwCQjKAMAAAAGBGUAAADAgKAMAAAAGBCUAQAAAAOCMgAAAGBAUAYAAAAMCMoAAACAAUEZAAAAMCAoAwAAAAYEZQAAAMCAoAwAAAAYEJQBAAAAA4IyAAAAYEBQBgAAAAwIygAAAIABQRkAAAAwICgDAAAABgRlAAAAwICgDAAAABgQlAEAAAADgjIAAABgQFAGAAAADAjKAAAAgAFBGQAAADAgKAMAAAAGBGUAAADAgKAMAAAAGBCUAQAAAIOPRl3AWfi+L8dxZFmW8vl813a1Wk3ValXz8/PyfV+SlMvlztwWAAAAk2ssg7LjOPI8T0tLS6rVakokEl3bVioVbW5uqlwut4/VajUlk0lVq9WB2wIAAGCyjeXUi3w+r3K5rFwuJ8uyurbzfV+rq6va2NjoOJ5IJNRsNlUqlQZqCwAAgMk3lkG5V1tbW7Jt2ximV1ZWVCwWB2oLAACAyTfRQblcLisWixnP2bYt13Xb85D7aQsAAIDJN9FBuV6vy7Zt47nguOd5fbcFAADA5JvooOz7/olzmKWfhN9+2gIAAGDyjeWuF2EIQnGz2Qy1rSTt7e11PJ6entb09HRf9QEAAODs9vf3tb+/3358NKedZKJHlKNy5coVzc7Otr/W19ejLgkAAOBCWl9f78hlV65c6fnaCzuiHCzM67aAb9C2knT79m3NzMy0HzOaDAAAEI21tTW9/PLL7cd7e3s9h+ULG5SHaWZmpiMoAwAAIBpnmQI70VMvbNvuugAvmG8c7GjRT1sAAABMvokOyvF4vOvex0EojsfjfbcFAADA5JvooJxMJruOEjcaDSUSiYHaAgAAYPJNdFBeXl5Ws9k0BuBKpaJsNjtQWwAAAEy+sQ/Kvu933d/YsixtbGzIcZyO45VKRbZtK5VKDdQWAAAAk28sd70oFAq6efOmPM9rfyWTSVmWpZWVlY5Qm0qlZFmWHMfR/Px8ex5ytVo99rz9tAUAAMBkG8ugnMvl+mqfSCR6nmPcT1sAAABMrrGfegEAAAAMA0EZAAAAMCAoAwAAAAYEZQAAAMCAoAwAAAAYEJQBAAAAA4IyAAAAYEBQBgAAAAwIygAAAIABQRkAAAAwICgDAAAABgRlAAAAwICgDAAAABgQlAEAAAADgjIAAABgQFAGAAAADAjKAAAAgAFBGQAAADAgKAMAAAAGBGUAAADAgKAMAAAAGBCUAQAAAAOCMgAAAGBAUAYAAAAMCMoAAACAAUEZAAAAMCAoAwAAAAYEZQAAAMCAoAwAAAAYEJQBAAAAA4IyAAAAYEBQBgAAAAwIygAAAIABQRkAAAAwICgDAAAABgRlAAAAwICgDAAAABgQlAEAAAADgjIAAABgQFAGAAAADAjKAAAAgAFBGQAAADAgKAMAAAAGBGUAAADAgKAMAAAAGBCUAQAAAAOCMgAAAGBAUAYAAAAMCMoAAACAAUEZAAAAMCAoAwAAAAYEZQAAAMCAoAwAAAAYEJQBAAAAA4IyAAAAYPDRqAvA2bz99tva3d2NuoyR8zxPBw8eRF0GAACYYATlMfb222/rN1/+su4+uBt1KSP3wfv3dOutt/SLH/5M1KUAAIAJdSGCcjqdViwWUzabVTwel+/7qtfrKhaLWltbUzwe72hfq9VUrVY1Pz8v3/clSblcLoLKT7a7u6u7D+4q/guf1sfmXoi6nJH628aP1PjWD3RwcBB1KQAAYEJdiKDs+74qlYpKpVL7mGVZKpfLx0JypVLR5uamyuVy+1itVlMymVS1Wh1Zzf342NwL+uQnrajLGKl33tuLugQAADDhLkRQjsfjchxHrutKkmzbViqVOtbO932trq7q1q1bHccTiYQcx1GpVFImkxlJzQAAAIjWhQjK0pOwm0gkTmyztbUl27ZlWdaxcysrKyoWiwRlAACAC4Lt4Q4pl8uKxWLGc7Zty3Xd9pxlAAAATDaC8iH1el22bRvPBcc9zxtlSQAAAIjIhZl64XmearVa+3Gj0dDa2lrHNAvf943TLo4+z9EFgAAAAJg8FyIoe54n13U75he7rquFhQVtb2+fGo4ltds0m81T2+7tde7IMD09renp6b5qBgAAwNnt7+9rf3+//fhoTjvJhZh6US6Xj+1yEY/HFY/Htbq6GvrrXblyRbOzs+2v9fX10F8DAAAAp1tfX+/IZVeuXOn52gsxotxNMplUNpvtqW2wiK/bYr/Dbt++rZmZmfZjRpMBAACisba2ppdffrn9eG9vr+ewfKGDchB6XdcNdd7xzMxMR1AGAABANM4yBXbip15ks1k5jmM8d3TesW3bXXe1ONwGAAAAk2/ig/LW1lbX8BscX1xclPRk3nK3fZKDtux4AQAAcDFMfFDOZDIql8vGc9VqteNOfMlksmuobjQap97ZDwAAAJNj4oPy0tKSXNc9dtz3fVUqFeXz+fax5eVlNZtNY1iuVCo9L/wDAADA+Jv4oJxKpVQsFo+F5evXryuTyXRsG2dZljY2No7Naa5UKrJt+9gWcwAAAJhcF2LXi2KxqEKhoM3NTfm+r2azqbW1NWPwTaVSsixLjuNofn6+PWe5Wq2OuGoAAABE6UIEZUnK5XI9t00kEsxHBgAAuOAmfuoFAAAAMAiCMgAAAGBAUAYAAAAMCMoAAACAAUEZAAAAMCAoAwAAAAYEZQAAAMCAoAwAAAAYXJgbjgAAgPHw5ptvqtlsRl3GyMViMX3mM5+JugwcQlAGAADnxptvvql/9Gsr8g8eRl3KyFlPf1R/+kebhOVzhKAMAADOjWazKf/goab/l3+oZ2Mfj7qckfmw+a78v/w3ajabBOVzhKAMAADOnWdjH9fzn7hYgXE/6gJwDIv5AAAAAAOCMgAAAGBAUAYAAAAMCMoAAACAAUEZAAAAMCAoAwAAAAZsDwcAONcePXqku3fvand3N+pSRuqZZ57RpUuXoi4DuNAIygCAc+vgwUO909zVn/yHv9BPvfHdqMsZqblnn9cvf+GXCMtAhAjKAIBz6+HDR9pXSw8uv6ipT1+gu7Tdu6+3fviuHjx4QFAGIkRQBgCcW/cfHMj3fdX/U01v/N1c1OWMzMGHD/Twh7tKXf+Hmp2djboc4MIiKAMAzq2HDx/rKT3S//D3n9FPX52JupyReefdPf1H733dv38/6lKAC42gDAA491649IysmYszBeH+B/tRlwBAbA8HAAAAGBGUAQAAAAOCMgAAAGBAUAYAAAAMCMoAAACAAUEZAAAAMCAoAwAAAAYEZQAAAMCAoAwAAAAYEJQBAAAAA4IyAAAAYEBQBgAAAAw+GnUBAAAAkB4+eKDvfve7UZcRiVgsps985jNRl3EMQRkAACBiD+7u6b333tH/9sq6nn5mOupyRs56+qP60z/aPHdhmaAMAAAQsYf79/T42af19P+c0Ozf+2zU5YzUh8135f/lv1Gz2SQoAwAAwOxp67Ke/8T5CoujsB91AV2wmA8AAAAwICgDAAAABgRlAAAAwICgDAAAABgQlAEAAAADgjIAAABgwPZwAACcQ48ePdLdu3e1u7sbdSkjdffuXbUeP466DEASQRkAgHPn4MFDvdPc1Z/8h7/QT71xsW5pfPvNN3X/wX3NPHwYdSkAQRkAgPPm4cNHOvjIU3r26qc0Z9tRlzNS70w91OOPTKnVehR1KQBBGQCA82r60iU9P/Ni1GWM1PSl6ahLANpYzAcAAAAYEJQBAAAAA4IyAAAAYEBQBgAAAAwIygAAAIABu14AAHAOPX70UO+9955emJ2JupSRunPnjlqtVtRlAJIIygAAnDsPDg7043fe1R/+6/9bz77wQtTljNT9nV29//77eviIfZQRPYIyAADnzAf39nVwcKAXPvpYTz97sWZJPnrmsZ56/EAPP/ww6lIAgvJJarWaqtWq5ufn5fu+JCmXy0VbFABg4h08eqSPPNXSf//ZS/rE378cdTkj9aM33tedv2mpxS2scQ4QlLuoVCra3NxUuVxuH6vVakomk6pWqxFWBgC4KJ6d/qiee+5i3aluevrpqEsA2i7W5zk98n1fq6ur2tjY6DieSCTUbDZVKpUiqgwAAACjQlA22Nrakm3bsizr2LmVlRUVi8XRFwWjhwePVPk//50OHvAR3Tg4ePCQ/hoT9NV4eXTwSDf/5KYeHbAA7rx7fHCgH3zrj/T44CDqUtADgrJBuVxWLBYznrNtW67rtucsI1qPHj7SN//1/6cD/nEYCwcH9Ne4oK/Gy6OHj7T9p3U9ekh/nXethwd664831XpIUB4HBGWDer0u27aN54LjnucNtYbf//3fD+25vv3/1Id6zWltTzrf77lBvpdhC7OmQZ+r1+t6aTdIf/V7PEpR9xfvrd5F3Vf9XDes99Yt93vG43/9F3/dU12jFGZND3fv9X3Nj7/z/4bW9qTz/Z7rp65RCbOmQZ+r1+t6yUMntTlrniIoG/i+b5x2cdg4BeXqH/f/D0Q/15zW9qTz/Z4b5HsZtjBrGvS5er2ul3aD9Fe/x6MUdX/x3updUFOr1dL9Dz/U+x+8P/DXv/3Wfx7qdb20O6nN0XP379+XWtKt179n/Nn81393/oJymDU93L3f9zU//vM/C63tSef7PddPXaMSZk2DPlev10UdlNn1ok9BgG42m8fOBXcS+uEPf6i9vb328enpaU1P97dq+dGjRx3PYfL+++9r/96Hatx6S3eaftd2H354oL/+r9/r6/X7uea0tied7/dccOzNN9/Vw4NHun37HUnSd//m+5p+9pme6g3bID/fszxX8L2/+f0f69HBw75q6KXdIP3V6/H9Dx9IGqy/TN/3IEbdX2e55uj/70e/92G8twJn6auwfPjhgbzGD3X/g/v6j3/1X/Td7/7dwM919/0P9K0/+cuhXddLu5PaHD334x+/r8ePHurRw4f60fd+eKz9wYODjuMH+08+xn/7zbf0dES7RhytaVD+O75arZY+eOv7uvPRj/R83aP9+7rzN6+F0vak8/2eO3rs8f6+JKn5d/9FTx3KBvfe+r5aDx/q3g9u6c7Bg56+j0H187Ma1nMdvu5g944eHTzQ+++/fyz79JKHTmrz6NEjvfvuu9r/bz93Sbp7964k9XQHyKkW94k8ZmpqSrlcTvl8/tg5z/M0Pz+vYrGoTCbTce4HP/iBrly5MqoyAQAAMKDbt2/r05/+9IltGFHuU7CIz7TY71Of+pQajYaefvppTU1NtY8PMqIMAACAs9vf3+8YUW61Wjo4ONCnPvWpU68lKIfoqaee6roIEKN3eL/rRqOhtbW1U+eeIzq+76tWq8lxHDUajajLwQkKhYKkJ+8rz/NULBb53XeOBb8Lfd/XzZs3lc1mlUgkIq4KpykUCorH4/RVxAjKBrZtd12sF8xN5h+F861SqaharbbvrOj7vq5fv67t7e2IK4OJ67qq1+uKxWJDXyiLs3Ecp+OPzkqlovn5eTUaDX4vnkPZbFbpdLodtoI7zO7s7DBwcI55nifHcbgT8DnArhcG8Xi86z7JwT/i8Xh8hBWhX+vr61pbW2s/tixLsVhMtVotwqrQTTweVyaT4X01Bmq1Wsdi5lQqJcuyuBHTOdVsNtsDBtJPBnnq9fO3ywl+olar8YfnOUFQNkgmk11HtRqNBh+DnHO+78t13WO/ZGzb7vgHA0B/fN+X53nHfj/GYjFuwnROlcvljj9iXNeVJC0uLkZVEk5RqVS0vLwcdRn4b5h6YbC8vCzHceR53rGwValUjLth4Ox835fjOLIs68Sfca1WU7Va1fz8fPsf51wu1z4f/CN+9GNFy7La/0jg7MLqLwxfWH1lWZZ2dnaOXed5nhYWFkKv+6Ia5nurWCwqn88z7SIkYfdVcI7+OT8IygaWZWljY0OO43SMQFYqFdm2rVQqFWF1kyf4o2RpaUm1Wu3EEftKpaLNzc2Ofgnm3AVzuUx7XAdOOofehN1fGJ5R9FWpVJJt28e2y0T/htlfpVJJ1WpVyWSSP1RDMKy+2tra4r103rTQVbVabeVyuVaxWGzl8/lWPp+PuqSJF4/HW5lMxnhuZ2enZVlWa2dnx3hdsVhstVpP+k3SsXa5XK4Vj8fDLvlCC6O/Dms0Gi1+LQ1H2H11+LpGoxFmqWgNr78ymUwrl8uFWeqFF1ZfbW9vd7yXbNtuVavV0OtFf5ijfIJEIqF8Pq9MJqNcLsdf4RHb2tqSbdvGj6RWVlba8/BMe1xLTz7S6nYO4eu1vxC9QftqdXVVN27cYNHRiA3aX8Giy0Kh0N7iD8PVT1/V63XeS+cQQRljo1wudw26tm3LdV35vt/+RXN0mkWz2WRXhRHqtb8QvUH6KtgmjvfU6PXTX9ls9tjiS9u2mfo0Ir32VaFQUKPRaP8RUygU1Gw223/YIDoEZYyNk/7aDo57nifLshSPx4/94+B5npLJ5NDrxBO99hei129fVSoVJZPJjpB8+AY/GK5e+8t1XZVKpWPvs2azyWKxEem1r3K5nPL5fPvT61wuJ9/3lc1m+TQ7YgRljA3f90/95R78g7C2ttaxcCIYXWFrv9Hpp78OX4PR66evarWabt68qVgsJtd15bquKpXKCKpEoNf+isfjyuVyHb/3arWafN9n96YRGeT3IM4Xdr3ARAh+EQXTLVKplJrNpkqlkmKxmG7evKkbN25EWCEOO9pfnue176YoSel0WktLS8pkMox8RexwX/m+r3Q63f6o+DA+yj8fjr631tbWOvrq5s2b2t7eZi7sOXC0rwK1Wq090JPP5+W6LqPKESIoY2Id3mKHLf3ON9u2WTA7Brrto4zzy7Is3ldjJpFIKJFIsOD5nGDqBSZC8JE9u1qMB/prfNBX44X+Gh/01XggKAMAAAAGBGWMDdu2uy56COZ4Me/u/KC/xgd9NV7or/FBX40/gjLGRjwe77orQvCLiD1dzw/6a3zQV+OF/hof9NX4IyhjbCSTya5/mTcaDbZ+O2for/FBX40X+mt80Ffjj6CMsbG8vKxms2n8pVOpVJTNZiOoCt3QX+ODvhov9Nf4oK/GH0EZ54rv+8f2lAxYlqWNjQ05jtNxvFKpyLZttoCLAP01Puir8UJ/jQ/6arJNtVqtVtRF4GIrFAq6efNm+5ar0pN9JC3L0srKyrFfJLVaTdVqVfPz8+25X+wTOjr01/igr8YL/TU+6KuLg6AMAAAAGDD1AgAAADAgKAMAAAAGBGUAAADAgKAMAAAAGBCUAQAAAAOCMgAAAGBAUAYAAAAMCMoAAACAAUEZAHCiQqGgqamp9tfCwkIkdTiO01FHMpmMpA4AFwdBGQBwqkQioUajoUajoXK5HEkNa2tr7Rq4/S+AUfho1AUAAM4/y7Jk23bHsWw2q3q9Lt/35XmeWq3W0GuwLEuSND8/L9d1h/p6AMCIMgBgINlsVtlsVp7nRV0KAAwFQRkAzhHXdZXNZqMuoyfxeFyZTEaJRCLqUgBgKAjKAHCOpNNplUqlsZpWEEyHAIBJQ1AGgHMimOsrPRmtBQBEi6AMAOdErVaTREgGgPOCoAwA50S1WpUk5vwCwDlBUAaAcyIYUeZGGgBwPhCUAeAcODw/mRFlADgfuOEIAETA8zwtLCzI9/1j56amptr/ncvllM/nR1jZ2RUKBd25c0e+76ter8u2bW1sbBh3x0in0/I8r/1zaDQa8n1fjuPIsix5nqeVlRWlUqnRfhMAIIIyAETCtm3t7Oy0H2ezWZVKpbEMxoEg4DqO03EXv2QyqatXr+rWrVvHwvLa2prq9bqy2axs25bv+1pdXVW5XJbv+5qbm1OlUhn6Xf8AwISpFwBwDkzC/GTHcZTP54/d6jqfz8v3fZVKpWPXBDctCXb6cBxH5XJZ0pP9mVOplHK53PCLBwADRpQBIGKDzk8Opi24rivLsrS4uNgxYuv7vprNZvvmJcViUZlMJtTaD7Msyzi9IgjB1Wq1a+iNxWJyXVfz8/Mdx4PQDABRICgDQMS2trYk9b+Ir1wuy3VdLSwsKJFIdA2VwXzoWCx25lpPctpoeLPZPPU5WMgI4Dxh6gUARCzYP3mQaRfBlI2VlZWubWzbViaTOTYlImxhPP+wawSAfhCUASBiQdgdZDS115uUXL58eeghNIwRa9PUDQCICkEZACJ0eGu0QW5dXavVZNv2sYAZzHkO3LlzhxAKAH0iKANAhCqViqTBRpODRXqma4vFYsfjtbW1AaoDgIuNoAwAEQqmTqTT6WPnTpuz3G1LuUqlosuXL3ccYzQZAPrHrhcAEKF6vS7p+KhwpVI5NSgHIbtYLGpzc7NjO7jt7e3hFAwAFwhBGQAiFMxPPrzQzvd9FYvFdhDuJrg99OF2wVZwg8x3BgB0YuoFAEQolUpJ+klg9jyvfQvnk7iuK9/3j41E27at5eXlodTaTbBw8OgCwsDh723Q5wCAKBCUASBC5XJZmUxG6XRa6XRa+XxeGxsbp84pPumW10ePlUqloQTQhYUFzc3NtRcVXr9+XfPz8+3agjvtXb16VdKTwDw3N9dx9735+XnNzc2161tYWND8/LxxzjYAjBpTLwAgYkd3qOjFSfsnB6PUge3t7aHcuvq0edDxeFyNRuPENqedB4AoMaIMAGMomJ982shzL4sCAQBmjCgDwJgJblJy2lxkz/PkOA6jtgAwIEaUAWDMBFM1ThopDkaSs9nsqMoCgInDiDIAjAnHceS6bnux3Pr6ujY3N9vng32UD98WexhzkwHgoiAoA8CYyOfzUZcAABcKUy8AAAAAA4IyAOBUlUpFU1NTmpqa0sLCQiQ1OI7TroG51wBGYarVarWiLgIAcH4Fc58PO3zL7YtWB4CLg6AMAAAAGDD1AgAAADAgKAMAAAAGBGUAAADAgKAMAAAAGBCUAQAAAAOCMgAAAGBAUAYAAAAMCMoAAACAAUEZAAAAMPj/AemDjdjDC/hHAAAAAElFTkSuQmCC", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "num_bins = 10\n", + "bin_counts_pbh, bin_edges_pbh = np.histogram(samples_pbh, bins=np.logspace(np.log10(s.cadence), np.log10(s.obs_time), num_bins))\n", + "bin_counts_ffp, bin_edges_ffp = np.histogram(samples_ffp, bins=np.logspace(np.log10(s.cadence), np.log10(s.obs_time), num_bins))\n", + "bin_counts_both, bin_edges_both = np.histogram(samples_both, bins=np.logspace(np.log10(s.cadence), np.log10(s.obs_time), num_bins))\n", + "\n", + "# Plotting the histogram\n", + "plt.bar(bin_edges_pbh[:-1], bin_counts_pbh, width=np.diff(bin_edges_pbh), align=\"edge\", edgecolor=\"black\", label=\"PBH\", alpha=0.7)\n", + "plt.bar(bin_edges_ffp[:-1], bin_counts_ffp, width=np.diff(bin_edges_ffp), align=\"edge\", edgecolor=\"black\", label=\"FFP\", alpha=0.5)\n", + "plt.bar(bin_edges_both[:-1], bin_counts_both, width=np.diff(bin_edges_both), align=\"edge\", edgecolor=\"black\", label=\"Both\", alpha=0.3)\n", + "\n", + "plt.xscale('log')\n", + "plt.xlabel(\"$t_E$ [hr]\")\n", + "plt.ylabel(\"Count\")\n", + "plt.title(r\"$M_{\\rm{PBH}} = $\" + scientific_format_less(s.pbh.mass) + r\"$M_\\odot$, p = {}\".format(s.ffp.p))\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 30/30 [00:49<00:00, 1.64s/it]\n" + ] + } + ], + "source": [ + "pbh_tes_finite_30 = np.array([s.pbh.differential_rate_mw(t, finite=True, v_disp= 30) for t in tqdm(t_es)])" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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AwKT44fjjLRfjBxefI2tdE8bEwnoqiH956Ci+u3I9bIsvR9zwGFnrCmUM4UPIyGFKND9zg9xl9GnkMKVk5wp0LGBnp9/QCHjDYGpqKsxmc49j/noLyWVlZf269ul8bRd9tVudfkxf7R4D6WnPzMyETqfr87ynb0ygUqm6/Xmc6WZP36SZzvR6PXJycqDRaGAwGJCRkdFt7CQR0VAhiiL+Zt+DB9/YhobjbVAogJ9fMQ3P3HBByATdqYkjsSZvHq4p/RTVe1z4wStVeOeeuRgRI92/7ZFkSG3WEwnOZsdMhUKBUbHRIf0rmP3gA6XVav2zvgdLWVkZEhMT+2zf6OkY32SYnla8T19pPpOioiLodDoYjcZ+r6D3d8JKZWVlt+lEKpUKdXV10Ov1sFgsyMjI6HIzNRHRUOE4cgwLyz7HT/+5CQ3H23DxxDH45BdX4Y+3XBIyAdzngvFj8G7OXIyJjcaHjgbc9tcatHV45C4r6Lhj5hDAHTPl4Vt9PVO7hxQsFgsEQegSrk8Pnr0d42sN6W3VOyMjI+A6CgsLUVBQ4F+RDpbePhzY7XaoVCqYzWY4HA5/O1FRUVHQaiEiCiVtHR6Y1u3CJc9/CNvOI4iNjsIzN1yAmgeuwbypCXKX16vUySq8ddccDI+OwlvbD+Jn/9oEjyeitqXpZiA7ZjKEEwXAF76DvXmN3W5HY2Njt109bTZbwMdkZWXB4XB0Oa+vj7o/N5f6gnFlZSUsFkuXGqTUUysK4K258zV9c9IH44MQEZHcNnzTBN0LH6PwP1/iZLsH86ePxZaHrkVh+gzEKEM/vl2jSULlT9IQHaXAPzbuxb3//gIRtj/kWQv9ryJRP/lWgaVqW/AF0N4mqvTW+gGgX9NInE4nioqKkJiYCIvF4v/V+cbPQI4xGo3+sYo+ZrO5z9aWvqhUKhQUFHQbH9gb35jEMz3nY7Vae/1wcPqfuW8PACKiSNV8sh33/fsLXP7H/2HLfjcSR8bglexZsObNw4xxo+Uur19uTJmAV384GwoFsPzTevz6va/kLimkRNy29ZHKN/ImkG1QhypBEFBUVASLxQKn0wm9Xg+tVtvnOMLT39N5EoogCP4VZKPR6A+KZ7pOSUkJrFYrbDabfyfWQG4STUhI6DWo+v6aBnIM8O327zqdzv97CGSevs1mg9lshsVigV6vR15eHgwGA1JTU2G326HValFYWOhflS4rK4NWq0VeXh6ysrJQVFTk71U3GAwwmUwoKSmB2WyG0+lEbm5utw8VJpOpxw8IvhnhndtVBEHo974ARETh4q1tB5C/eiv2uE4CAG7XTsJvv38Rxo0O71F/Kz6tx89XbwUAPHdTCh66ru89McJZf/IaQ3iY8H1RZ86cOeDNeohCjdFoRHZ2dtDbfIiIQtl+90nc9+8vYNmyHwCQnDgSyxddggXnj5e5MukUr9uJZf/ZAQBYmXkZ7p57nswVSavzZj21tbUM4ZGEK+EUiVJTU1FTUyN3GUREsvB4RKxc/zWWvvMlXCfboYxS4MFr1HhswUyMHBZ5U6SNb2/Hcx86EKUA/nl7KjIvO1fukiTXn7wWeV9hIgoLdrud288T0ZC1/UAz8iyb8Ul9EwAgbXI8yjIvw6xJge22GI6Kb7wQwsk2rPz8G9z+DzvGxEbjOxdEzmp/f/HGTCKShdlsHtTZ60REoeBoSzt+/d4OzP7dR/ikvgmjhinxu5svwme/vDqiAzjg3a/kz7deiuxZ56KtQ8SiV6vwSV3/N5KLFFwJJyLZcPdLIhoq2js8eLlqNx57/yscbG4BANx44XiU3noJzksYKXN1g0cZpcCrt82G+2Q73t1xCDe9tB4fLLki4j+A9IQ94WGCPeFEREThRxRFvPPlIRjf3o4vDx0FAGiSRsJ0UwpuuXhiSO4UPRiOt7bjOyvX4391jRg/ehj+m38lZobZCMae9CevsR0lzJzNtvVEREQ0eGr2CEhf8Rm+//IGfHnoKJJGxuCFmy/Ctkeux62XnDNkAzgAjBwWjTfvmoNZ58bh0NFWLDB/jt3CCbnLGrCBbFvPlfAwwZVwIiKi8PB143H86r0d+Lt9LwAgNjoKv7wqGYXpM6AaESNzdaHlUHMLrvnzJ6g9fAznjxuF/+ZfGdZz0bkSTkRERDTIhBNtKHh7Oy4o+cAfwG/XTsKOguthuimFAbwH48fEYk3uPExRDcdXh4/hhpXr4TrRJndZg4Ir4WGCK+FEREShqbXdg+Wf1eMpay0aj3sD5PWaJJR8LwWpk1XyFhcmag8fxdV/+gSHj7Xi6uREvJszNyxnpXMlnIiIiCjIRFFE5eZ9uOi5D/DAG9vQeLwNKRNG46275sC2+HIG8H6YOW403sudh7jh0fi4rhFZr9Wgtd0jd1lBxRBORERE1E+f1jfiqj99guy/1sDRcBwTxsTCbLgUmx68FjemTBjSN10O1OxJ8Xj77jkYEROF/+w4hDv/tREdnsht2Ai/dX4iIiIimew8fBSF//kSq7ceAACMjFHi4es0ePg6DUbHMladrauSk2D5SRpufqUK/9q0D3HDY7B80SUR+aGGK+FhhiMKiYiIBt/hoy249/WtuOi5D7F66wFEKYB75p6HnYXz8fjC8xnAJXTDhRPw1x/NhkIBlH3+NZa9u0Puks6IIwojGG/MpEghCAJUKpXcZRARBeREWwd+/7ETxet2wX2yHQDw3QvGw3RTCi6aOEbm6iLbys+/Rp5lCwCg6LsXwjh/uswVnRlvzCSikGQ0GuF0OuUug4jojDweEa9V78YFpnVY9p8dcJ9sx+xJcbDlXY6375nLAD4IcuZNRfGNFwIACv/zJVZt2SdzRdLiz04oYgiCAKPRCJvNBqfTCb1eD7Va7X+9sbEROp0OBQUFfb5Hq9X6X2tsbERiYiJMJpN/9VYQBBQVFcFisXR5j8lkAgCUlJTAarXCZrNBrVbDYDAgLy+vSy29sdlssNvtAACHwwGNRtOlXgBwOp0wmUzQaDQAAJVKhdzc3IDObTKZYLPZUFNT4/99Dia73e7/cyIiClW22sMoeHs7Nu1zAwDOU43A0zdcgB/NnoSoqMjrTQ5lBddPx8HmFvzuv0788t9fQD9jHOIjZd66SGHB5XKJAESXyyV3KSHPbDaLAESHw9HtNb1eL2q12m7PV1ZWigDEpqambq/l5uaKKpWq22u+69TU1HR7T1NTkwhALCgoCLjumpoasbKysstzarVazM3N9T92OBzdaikoKBBNJlNA1/DV1VPNwVZTU9OvPw8iosG2cY8gfnfl56LioTdFxUNvivGP/kcsXrtTPN7aLndpQ9qJ1nZxZtFaUfHQm+K9r2+Vu5w+9SevsR2FIk5iYmKvr5nNZtjtdpSUlAR8PpPJ5F8x70lP/c2+55KSkgK+jtls7nYNvV6PsrKyLrXk5uZ2uWZhYWGvtQVS62Axm83Iy8uT7fpERL3ZfqAZWa9VQ/u7/+LdHYcQHaXAvVclY1fhfBjnT8eIGKXcJQ5pw2OUKL31EgDAnz+pQ/VuQd6CJMIQTkOKryXEarUG/B5fcG1sbAxGSX4ZGRnQ6/V9HlNRUeFvQ/Hx1Wez2YJVmiScTmdALTlERINl5+GjuOMfdlzy2w9h2bIfCgXww9mTsO2R6/D7H1yMsaNi5S6RTtHPHIcfzZ4EjwgsWbUlIuaHsyd8CBFFEWL7cbnL6JMiemRQZ4H6bgrsTz+0xWIBgKCv4hoMBhgMhi7PVVRU+HuoBUGAIAg9BlmVSgW73X7GEH86QRCQnJwMQRCg1+tRWVkJp9OJnJwcOJ1OrF271v9n5vvgYjab/T30giCgqqoKK1eu7HOV3WKxIDMzs9tzvp77xsZG1NTUIDMzs9+/ByKi/qpvPI6nbLV4rXqPP8zdeslEPL7gfFx8DieQharnv5eCd748iJo9Liz/tB6/uCpZ7pLOCkP4ECK2H8fXpQlyl9GnqflNUMSMCtr5jUYj1Gp1QDcHCoLgD8GVlZWDFg4tFguqqqpgt9u7XLevqSKJiYloaGjo97VUKhX0ej0KCwv9H0y0Wi1qamqgUChgNpv9N6UaDAYkJCRApVIhOzvbX1dmZiaMRiPMZnOv1ykvL8fKlSv9j51OJ6xWa5f39KdFiIhoIPYIJ/DM2p14ecM3aOvwhu8bLxyPJxaeDy23mA95E+OG49nvXoj81Vvx6Ls7cOsl5+Dc+OFylzVgDOEUscxmc5eebIfDAbVajcrKyl7fU1ZW1mVF1+FwwGAw9NlG4Qv2nQmCMOC6fSviFosFRqMRlZWVAbVxDOSaJSUlva5iq1Qq/y+ftLQ0/5QVH51Oh/Ly8jPW1vk8dru924cKg8HA8YVEFBQHm1tQtG4nzJ99jZZ2DwBAP2MsnvzOBZg3NbQXp6ir3HlT8WrVbmzYLeCht7bhn7enyl3SgDGEhxmdTgelUon8/Hzk5+f3672K6JGYmt8UpMqkoYgeKdm5Ah0L2NnpNz0C3sCYmpoKs9nc4yhAk8nU43U631A5EAaDAVVVVUhNTUVdXV2f7R4D6VfPzMyETqfr87yn7/ylUqm6/V7PdLNnWVlZt1YevV6PnJwcaDQaGAwGfz88e8aJSEoNx1pR8sEulH5Sj+NtHQCAq5MT8eR3zse1mrEyV0cDoYxSYLnhUuhe+C/KN+3Dz3RTsOD88XKXhdLSUpSWlqKjoyPg9/DGzDBTVVWF7du39zuAA4BCoUBUzKiQ/hXMfvCB0mq1/lnfgy0jIwOCIKCsrMw/9aWnFe/+7kJZVFQEnU4Ho9HY7xX0/k5Yqays7NbrrlKpUFdXB71eD4vFgoyMDGg0mrP6CQIRkY9wog2/eW8H1M+uxXMfOnC8rQNzpqjwfu48fPjzKxjAw9zsSfH+fvD81Vtxoi3w4Bss+fn52L59O6qqqgJ+D0M4UQB8K7S+jXSCISEhoVtftC94OxwOf2tIb6veGRkZAV+rsLAQBQUF/hXpYOntw4HdbodKpYLZbIbD4fC3ChUVFQWtFiKKfM0n2/GMrRbqZ9fiadtONLe0Y9a5cXjzrjn47JdXIWPmuJBc7KH+e3Lh+Tg3bjgcDcdRvG6X3OUMCEM4UQB84TtYu0z6VoBPb8fw9Uinpnp73rKysuBwOHo8pj83jvqCcWVlJSwWS9DGG/bUigJ4a+58TbVa7Z/hTkTUX8db2/H8hw5oitbi1+99BeFEG1ImjEblT1JRff81uCllAsN3hIkbHoMXbr4IAGBatwtfHToqc0X9xxBOEce3UixVa4MvpPY2UaW39hAAAU8s8W09f3rIN5vN0Gq1/l50o9HoH5nY+Zi+JpOc6boFBQXdxgf2xjcm8UzP+Vit1l4/HJz+5+l0Ovu1mk9E1NLegT/+rw7Ti9ah4O3tOHKsFTPGjsLffjQbmx+6DosuPZfbzEewRZeegxsuGI/WDg/yV2+FKIbX7HDemEkRQxAEFBUV+UOq0WiEVqvtcxzh6e/Jycnxr0YLgtBlRrYvTJ7pOiUlJf6Z2p1njJ/ppkOTyYSysjLU1NRApVLB6XR2q9833cVoNEKn08HpdCIpKanHG0ZPZ7PZ/GE9Ly8PeXl5MBgMsNlsEAQBqampKCws9K9K+36fjY2NyMrKQlFREaqrq+F0OmE0GmEymVBSUgKz2Qyn04m8vLwuk2LOtDlPZmYmSkpK/KvygiCgoKDgjL8PIqK2Dg9eqdqNp6212OM6CQCYljACv86YiTtSJyNayTXGoUChUOCPt1yMi5/7EOt2HcE/Nu7Fj7WT5S4rYAox3D42hAFBEGCz2WA0Gru1DgDe1gaj0YiMjAyo1Wo4nU44HI4+VzPdbjfi4+PhcrkQF8eNBCj0GY1GZGdnB62Fh4iGnvYOD/5u34snrbWoa/RuPjcpfjgeTZ+Bu+ach2HRDN9D0bNrd+JX7+7A+NHD8GXB9UgYOUy2WvqT1/h/q8TsdjsqKioA9L25im810Wg0oqGhYcDtBEShymazMYATkSQ6PCL+uXEvLn7+Q/ysfBPqGo9jwphY/O7mi7Bz6XwsvmIaA/gQ9vC1Glw4fjQOHW3Fsnd3yF1OwAJqR1m4cGGw6zgjs9mMadOmyV3GGWm1Wmi12jNuOlJZWcmAQhHLbrdz+3kiOmsdHhGVm/fhKWstvjx1413SyBg8cv105F8xDaNi2VVLwLDoKPx50SW4fvlnKPv8a9yZNgVzw2ATpoD+77VarSgoKIBGowl2Pd2IooglS5YM+nWJaODMZjOMRqPcZRBRmOrwiLBs8Ybv7Qe94Vs1IgYPXKPGfVcnI254jMwVUqi5VjMWP02bjFer92DJqi3YcN/VIX9vQMAfIRcvXizbSvTixYsDOk4QBBiNRqhUqj5vxrPZbLBarV02BxnsG8JsNhuqq6uRmJiIqqoqFBYW9nsTFKJQxt0viai/PB4Rlb2E719elYz4EQzf1LuSm1Lw5raD2LTPjT99Uo/7rwntf4ci4uc4RqMRTqcTOp0ONputzx+DWywWlJeXo7Ky0v+czWZDRkaGf6LFYFCr1f5dBLVaLVJTU3u8iZMoHPEeByLqD49HhGXLfjxlrcW2g80AgPjh0XjgGg1+eXUyVAzfFIBxo2NRfOOFyLNswW/e3wHDpedgsmqE3GX1KqB1+oKCAv/OfXI40/VNJhMqKytRUFDQ52qyIAjIycnBypUruzyv1+vR2NiIsrIyqUruk28bdB+1Wo3GxsZu85+JiIgimedUz/dlv/0It/2tBtsONiN+eDQeX3A+6h7V4zcLZjKAU7/cPec8XD41AUdbOvDAG9vkLqdPAa2EFxcXB7uOQbl+RUUF1Gp1j0E9OzsbZrPZP2+580zlM+m8qj5QarUaVqu1SzgnIiKKRB6PiNVb9+NJay2+OPDtyvf916hx39VqBm8asKgoBZYvuhSpL/wXq7buxzvbD+LGlAlyl9UjydtRVq1ahaysLBiNRjz77LNSn/6sVFZW9rqirlarYbfbIQgCVCoV9Hp90KY7JCQkYO3atZyOQkREQ0pP4TtueDTuv1qN+69h+CZpXHpuHO6/Wo3ffuTAva9vxfXTkzByWOh1YEt+22h5eTlEUQzJ/ubq6upebxbrvMtfsKWlpXWrw+l0IjU1NejXJiIiGmwej4hVW/Zh9u8+QtZfa/DFgWbEDY/GbzJmom5ZOh5feD4DOEnqsQUzMUU1HPVNJ/C0bafc5fRI8o8FarUaTU1NiI+Pl/rUZ823yt0X31bhUlyrN6ef32KxQK1WB7T1OBERUbjweET8e9sBPLmmFlv2uwF4V77vu1qN+69OlnVnQ4pso2Oj8YcfXIJb/lKF5z904Mfaybho4hi5y+pC8hAuCEK/A3h2djbKy8ulLqVffOG8sbHxrM7jdDphsVj8k1YyMzOh0+mQm5vrv4bJZEJJSQkAoKGhAYIgoKamJqDzu93uLo9jY2MRGxt7VjUTERFJyeMR8ca2A3jSWovN+7z/bo2JjcZ9Vyfj/mvUSGT4pkFw88UT8f2LJuDNbQfx81Vb8OHPr4BCoZD0Gi0tLWhpafE/Pj2n9UXyEF5cXNzvUG2326UuQzZqtRoFBQVnnDs+0LnkU6ZM6fL4sccew+OPPz6gcxEREUmJ4ZtCze9vvhi22iP4uK4Rr1bvwZ26KWd+Uz8UFRXhiSeeGNB7JQ/hKpUKZWVlWLJkCTQaDfR6PdRqNeLi4no8vq6u7qxXn6Xgax+RcxRjIHbv3t3lz5Kr4EREJDdRPBW+19RiU6fw/curk/EAwzfJaGriSDy2YCaM73yJgre343spE5A0Srr/HwsLC/Hggw/6H7vd7m4Lpr2RPITPmDHD/9+DNXd7KElPT4dSqUR+fj7y8/PlLoeIiIYwX/h+ylqLjXu94Xt0rBK/vEqNB65RSxp2iAbq/mvU+GvNHnxxoBlL//MlVmZeJtm5fW3BpaWlKC0tRUdHR8DvlTyEi6Lov7kxPT39jMc7HA7U19dLXUaP1Gp1r9NPfKvxob7VdlVVVa8/VSAiIhoMvraTp6zfrnwzfFOoilFG4c+LLsE1pZ/ipfXf4M60KbgyWdrOB9/iqNvtDvjeyKC1o9xzzz0BvycpKUnqMnqk1Wp7nVriC+ec3U1ERNQz37STpzr1fI+OVeLeq5Lx4DUahm8KWVclJ+GuOefh5Q3fYMmqLah54BrEKCWf1N0vkl9drVYjLS2tX+9JSEiQuoweZWRk9LoS7nA4grY5j5R0Oh1SUlJQWloqdylERDRE+DbZ0f7uvzC8Wo3N+9wYExuNZekzULdMj2duuJABnEKe6cYLkTQyBl8caMYL/5V2X5jS0lKkpKRAp9MF/B6FKIqipFXILDU1FWlpaT1uOS8IApKTk1FTU9Ot7USj0cBkMoXstvG+H2+4XC62oxAR0aDweES8/oV3h8ut+707XPKGSwpnf6najbvKN2FkjBLbHrkOUxNHSnr+/uQ1edfhg0AQhF6nrahUKqxcuRJGo7HL877NckI1gBMREQ0mj0eEZfM+zPq/j5D5Wg227vfucPkr/QzUPZqOp75zAQM4haWfpk3GNepEHG/rwH1vfCFrLSGxEj5jxgzs3DnwLUVLSkpQVVUFp9Ppnzmu1+uhUqmQnZ3dLVzbbDZYrVZoNBp/j/hA53YPFq6EExFRsHk8IlZt3Y+nrLX44oB35Zs7XFKk2X6gGbP+7yO0e0S8fqcON188UbJz9yevhUQIT0xMDIlZ4aHM90WdOXMmRxQSEZGkPB4Rli3e8L3toDd8x58K3/cxfFMEWvafL1G8bhemqIZj2yPXY3Ts2c0q6TyisLa2Vr4Q7na7UVZWBqvVesZw7XQ6IQhCv+YqDkVcCSciIql1eERYtuzDU9ZabD94FIA3fN9/jRr3Xa2GakSMzBUSBcfx1nZc/NyHqG86gYev06DkphRJztufvCb5iEKXy4Xk5OReRwH2RKFQSF0GERER9aLDI6Jyszd8f3nIG75VI2Jw/9Vq/PLqZIZvingjh0Xjj7dcgu+9vAG/+68Td6ROxiXnDO4ip+Q3Zubk5CAtLQ01NTXweDxn/NXY2AiVSiV1GURERHSaDo+If27ci0ue/xA/+rsdXx46CtWIGDyx8HzULUvHbxbMZACnIePGlAm49ZKJ6PCIWLJqCzyewe3Qlnwl3Ol0orq6OuDjVSrVoM0JjwQ6nY494URE1C8dHhHlm/biadtO7Oi08v3ANWr88qpkxDN40xD1ws0XY03tYXxa34SXq77BPXOnDug8A9m2XvKe8MWLF2PFihX9es/GjRsxe/ZsKcuIOOwJJyKi/urwiPjXpr142lqLrw4fAwAkjIjBA9eqce+VDN9EAPC7/zrw0JvbkTAiBjuM12Pc6NgBn0vWnvCBrGozgBMREUmnvcODf2zci2fX7kTtqfCdONK78n3vVcmIG87wTeRz75XJeK16Dzbvc6Pg7e145bbByaWS94QnJiaivr6+X+9Zt26d1GUQERENOW0dHryy4RtcWPIB7vzXJtQePobEkTF4+oYL4FyWjkf1MxnAiU4TrYzCikWXAgBerd6DjXtdg3JdyUP4I488guLiYrjd7oDfk5eXJ3UZEUun0yElJQWlpaVyl0JERCGitd2DlZ9/jfOL1+Huis1wNBzH2FHDUPTdC1G3TI9l6TMYvon6MHdqAn44exIAYOk72/v9/tLSUqSkpECn0wX8nqDMCXe5XFi6dClUKhUyMjKgVquRmJjY47EOhwN6vR4NDQ1SlxFR2BNORESna2nvwMsbdqN43U7sFk4CAMaPHoaHr5uOJZdPxaiz3ICEaCipaziOC0rWoa1DxPu585Axc1y/zxG0HTOjoqKCNtObm/X0jSGciIh8TrZ14MX138D0wS7sdXnD98QxsSi4fjpy552HkcMYvokG4v43vsAfPq7D7ElxqLrvGkRF9S/3Bu3GTLVaDafTCb1eL9lsb4fDgU2bNklyLiIiokh2vLUdZZ9/g+c+3IX97hYAwKT44TBePx13zz0PI2KUMldIFN5+pZ+Bv1Ttxsa9bvxr0178SDs5aNfqVwhXqVQoKyvDPffcI2kRSUlJkp6PiIgokhxracfyz77G8x/uwqGjrQCAKarhWDp/Bu6aMwWx0QzfRFIYO8r7E6VfvbsDv3p3BxZdek7Q/n71K4SnpaUhLS1N8iKSk5MlPycREVG4az7Zjj9/Wo/ffuTAkWPe8D0tYQQK02fgp2lTMCxa8vkKREPefVclo/STOtQ3ncDyT7/G/deog3KdoNyYSdLz9RjNnDmTO2YSEUU414k2/OmTOvzuv040Hm8DAGiSRmJZ+gzcnjoZMUqGb6JgWvn518izbEHSyBjsKkw/48ZWnXfMrK2tlf7GTJIPb8wkIop8wok2/OHjOrzwsRPCCW/4njF2FB7Vz8CPZk9CNMM30aBo7/Dg0t9+hB2HjmLp/Ol49rsXBvQ+yW/MLCwsxPTp05GZmckASEREJLHG46144b9O/OF/dXCfbAcAXDB+NH6ln4HsWZOg7OeEBiI6O9HKKBR990Lc8pcq/P5jJ/KvnIZJ8SMkvUZAH6nVajWKioqQkJCAhQsX4vXXX5e0CCIioqHoyLEWLPvPl5j2jA1P23bCfbIdF00Yg3/ersXWh6/Dj7STGcCJZPL9iybgymkJONHmwWPv10p+/n61ozidTpSVlcFisaCurg4GgwG33XYbbrnlFskLo67YjkJEFDkONbfgtx858OdP63Gs1btPxqXnxOHXGTNwy8Xn9Hs2MREFx6f1jbjqT58gSgFseeg6pEwc0+fx/clr/WouU6vVKC4uxq5du1BVVYXk5GTcfffdUCqVyM7OxgcffNCf0xEREQ0pB9wn8dCb25D8rA3PfejAsdYOzJ4Uh9V3psH+wDVYdOm5DOBEIeSKaYm45eKJ8IjAsne/lPTcktyYabPZYLFYUFFRAYVCgaysLGRlZeH666+XokYCV8KJiMLZfvdJlHywC+bPvsbJdg8AIG1yPH6dMRM3pUwI2m7URHT2dhxqxiXPf4QOj4j/5l+Bq5J7398maCvhvdHr9VixYgUaGxtRXl6OhoYGpKenIykpCYWFhdi8ebMUlyEAOp0OKSkpKC0tlbsUIiI6g72uE7jv319A8+xa/P7jOpxs92DOFBXevnsO1t93Nb530UQGcKIQd8H4MbhrzhQAQMHbX6Kn9evS0lKkpKRAp9MFfN6gjij0rY5bLBZoNBoYDAYsXrwYU6dODdYlIxZXwomIwsce4QSK1+3CSxu+Qcuple/LpybgNwtmYsHMcQzeRGFmv/skZhStw/G2Dlh+moZbLzmnx+P6k9cGbU64xWJBWVkZbDYbNBoN8vLyYDAYMG3atMG4fNhjCCciCn3fNB1H8bpdeHnDbrR2eMP3VcmJ+E3GTKTPGMvwTRTGfv3eDjxj24mZ40Zh68PX9bhpVkiGcB+Xy4Xy8nJYLBbYbDakpqbitttuQ05ODsNlHxjCiYhCV33jcRSt24m/VO1GW4f3n9Vr1In4Tcb5uH56EsM3UQRwn2zD9KJ1OHKsFcsXXYK8y6d1PyaUQ3hnvkBeVlaGjRs3QqvVYvHixdwUqAcM4UREocfZcAxF63bh1ardaPd4/zm9XpOE3yyYiWs1Y2Wujoik9sf/1eG+f3+BiWNisXPpfIyK7brvZdiE8M6cTqe/ZaWurg56vR5ZWVkM5KcwhBMRhQ7HkWN4Zu1O/LVmDzpOhe/0GWPxm4yZuFrd++QEIgpvre0epDz3AZwNx/HEwvPx64yZXV4PyxDeWU+bApWXl8tdlqwYwomI5Lfz8FE8u3Yn/mbf6w/fC2aOw68zZuLK5ESZqyOiwfCvjXvxo7/bMTpWiV1L0zF+TKz/tbAP4Z3Z7XbU1dVh0aJFcpciK4ZwIiL5fHXoKJ6x1eIfG/fiVPbGd873hu/LpzF8Ew0lHo+IuX/4GDV7XMi/chr+eMsl/tciKoSTF0M4EdHg+/JgM56x7cS/Nn0bvm+8cDx+nTETc85LkLc4IpLNup1HoDd/hugoBbYXXI/pY0cB6F9ei+7zVSIioiFo24FmPG2rRcXmffAtVX0vZQJ+nTETaVNUstZGRPKbP2MsvnP+OLz31WH86t0d+Ncdqf0+hyQ7Zna2atUqKJVKLFu2TOpTExERBdUX+9247a81uPS3H6J8kzeA/+Diiah54Bq8cdccBnAi8iu+MQUKBVCxeR+qvhH6/X7JV8LLy8shiiIcDofUpyZ4t61XKpXIz89Hfn6+3OUQEUWErfvdeMpaC8uW/f7nbr1kIn6ln4lZk+JlrIyIQtWl58bhDu1kvFazB7eXWRG1+jF4OjoCfr/kIVytVqOpqQnx8fymFQxVVVXsCSciksiWfd7wvWrrt+HbcOk5+JV+Ji49l99riahvTyw8H//atA87Tw7HO6s+wJWTRgScgSVvRxEEod8BPDs7W+oyiIiIerVlnxuZr1Zj1v995A/gmZeeg80PXYuKn6QxgBNRQKYmjsQvrpoGAFj6ny/9o0sDIflKeHFxMbKzs/s119tut0tdBhERUTeb97nwlLUWq7ceAAAoFEDmpefiV/oZuPgcBm8i6r9l6TPw8obd2Lq/GeUb9wb8PslDuEqlQllZGZYsWQKNRgO9Xg+1Wt1rC0VdXR0aGxulLoOIiMhv015v+H79i2/Dd9Zl5+JX+pm4aOIYmasjonCWOHIYls6fjqXvfIln1tYG/D7JQ/iMGTP8/11WVib16cOCIAiw2WwwGo193qBaUlIClUrlf09BQcEgVUhENDRsPBW+/90pfGefCt8pDN9EJJF7r0rGn/5Xh92HAl9YljyEi6IIp9MJrVaL9PT0Mx7vcDhQX18vdRmysdvtqK6uRmJiIpxOZ6/HZWRkwGQyQavVAgA0Gg3UajUMBsNglUpEFLE27nXhyTVf4Y1tBwF4w/dtsybh0fQZDN9EJLkRMUo8+Z0L8LPXPg34PUFrR7nnnnsCfk9SUpLUZchGq9VCq9X2GcDLysqgVqv9ARwATCYTAzgR0Vmy7xHwpLUWb3YK3z+cNQmP6mfgwgkM30QUPHekTsZz74/G9gCPD8qIwrS0tH69JyFhaG39azQasXLlyi7PMYATEQ1czR4BT66pxVvbveE7SgH8cLY3fF8wnuGbiIJPGaXA4wvOR9avAzte8hBeUVHR7/fs2rVLkmsLggCj0QiVSgWTydTrcTabDVarFRqNBoIgAMCg9WMLggBBEPw/MQC8LTl5eXlQq9WDUgMRUaSo3u0N329/+W34/tHsSXhUPxPnjx8tc3VENNQsOH9cwMdKHsLlYDQa4XQ6odPpYLPZoNfrez3WYrGgvLwclZWV/udsNhsyMjJgtVqDXquvTcVut/uDvyAISE5ORl1dnf9GTSIi6l3VNwKetH6Fd748BMAbvn+snYxH9TMwcxzDNxHJQ6FQBHys5Jv1DETniSoDYTKZUFlZiYKCgj5DrCAIyMnJ6dYKotfr0djYOCjTXHzjGDuveqtUKqSlpaGoqCjo1yciCmdV3wj43kvrMfcPH+OdLw8hSgH8JHUythdcj1d/OJsBnIhkJba3BHxsSKyENzQ0DMp1KioqoFarewzq2dnZMJvNyM3NBeBdHTebzQGdt/Oq+pkkJiYCQLfWE5VKxU2LiIh6sf7rJjxprcW7O7wr38ooBW7XTsKy9BmYweBNRCHg5N5PsO/t3ICPD0oId7vdKCsrg9VqPeNGPE6nEy6XKxhldFNZWekPwadTq9Ww2+3+fm29Xt9nW8tAdZ6IQkREffusvhFPWmvx/leHAXwbvh/Vz8T0saNkro6ICPC0uND4v0fRvLUMbSdl3Lbe5XIhOTnZf8NjIPrTP3M2qqurkZWV1eNrvpVp34zzYPKNMOx8HUEQGNCJiE75pK4RT1q/grX2CABv+L4jdTIeTZ8BDcM3EYUAURRx3PFvNHxwPzqO7QcAjL7gxwBeDej9kveE5+TkIC0tDTU1NfB4PGf81djYOGg3I/pWufvS13zv/l6rNyaTqUuri9PphNPpRGFhoSTXJiIKV/+ra8AC82e4uvQTWGuPIDpKgbvmnIevjNfj5exZDOBEFBLam/fg0FsGHHo7Gx3H9iNaNR0TF1kxdv4fAj6H5CvhTqcT1dXVAR+vUqlCYk64L5yfqX3mTJxOJywWi3/SSmZmJnQ6HXJzc/3X8LW5GI1GJCUlweFwwGq1BvRhxO12d3kcGxuL2NjYs6qZiEhu/3U04ElrLdbt8q58R0cpcKduCgrnz0By0kiZqyMi8hI9HWjeYkbjp7+G2NoMREVjxCX3YcRlD6Ateni3nNYXyUN4fzfqAfp3Y2OoU6vVKCgoOOPc8YH2nE+ZMqXL48ceewyPP/54v89DRBQKPtx1BE9aa/Ghw3uDfoxSgZ/pzkPh/OmYmsjwTUSho/XIVhyx/RwtB9YDAGInzkVF7SV4YH4xgOJ+n0/yED6QVe3Zs2dLXUa/+dpHertxM1Ts3r0bcXFx/sdcBSeicCOKIj50NODJNbX4yPlt+L5rjjd8n5fA8E1EocPTfhLChmfhqn4e8LRDMWwMEq98BmMuzcWS1jbcdf+3AdztdndbMO2N5CE8MTER9fX1mDZtWsDvWbduHebPny91KREpLi6uSwgnIgoXoihi3a4jeHJNLT6u87b+DVNG4e6552Hp/OmYohohc4VERF2d2P0hjqz9OdoF7+7uIzXfR9L1v0f06EkAzq4tWPIbMx955BEUFxf3qycmLy9P6jJ6pFare73xsqdNdEKRTqdDSkoKSktL5S6FiCggoijCWnsY15R+ggzz5/i4rhHDlFH4+RXTsKtwPkpvvYQBnIhCSseJBhxek4MDqxagXdgF5ahzMf6mCkz4nsUfwDsrLS1FSkoKdDpdwNcIypxwk8kEo9EIlUqFjIwMqNXqXts8HA7HWd8MGSitVtvr1BJfOA/1MYFVVVVcCSeisCCKItbUHsaTa2rx2ddNAIDY6CjkzJsK4/UaTIpn8Cai0CKKIo59VY6Gjx6C58RhAAqMuTQPiVc+hajY+F7fl5+fj/z8fLjdbsTH935cZ/0K4VFRUf2e6V1SUtKv44MpIyMDJpOpx9ccDkdQNuchIhpqRFHE+18dxhNrvsL6bwQAwPDoKORePhUF103HufHD5S2QiKgHba56NKy7Fye+fh8AEJOUgrHpyzH83MuDcr1+hXBfO4der5dstrfD4cCmTZskOdeZZGVlwWg0wul0dms7sVgsvQb0UKLT6aBUKv2fuIiIQoUoinh3xyE8uaYWG3YLALzhO+/yqSi4fjrOiWP4JqLQ42lxQ6h5Hm777yG2nwCUw6CaswyqtIehUA4L6BylpaUoLS1FR0dHwNdViKIY8P6aaWlpWLx4Me65556ALxCIpKQkNDQ0SHIujUYDrVbb69hDi8WC8vLyLq9bLBaYzWb/bO9Q5PvxhsvlYjsKEYUUURTxzpeH8OSar1C9xwUAGBEThcWXT8Mj12kwkeGbiEKQ2NGG5i9eQtPnT51qPQGGT74WSfP/hGGJ5w/onP3Ja/1aCU9LSxvQHPAzSU5OPqv3l5SUoKqqyr/zpNPpREZGBlQqFbKzs2EwGPzHGgwGqFQqGI1GaDQaf494KAdwIqJQJIoi3tx2EE9Za2Hf6w3fI2OUWHLFNDx8nQYTxnCEKhGFHu9282+i6ZNlaGvaCQCISZiBhCufxUjN9/vdej1Q/VoJJ/n4PlnNnDmT7ShEJCuPR8Qb2w7gKWstNu3zTsIaNexU+L5Wg/EM30QUok7uX4/Gj5eiZd8nAICoEeOQMO/XGHPx3VAoYwZ83s7tKLW1tQGthDOEhwm2oxCR3DweEau37sfTtp3Yst8bvkfHKpF/ZTIeulaNsaMYvokoNLUJDjR98isc27kKAKCIHoE47X1QpT6MqFjpcpXk7SiFhYWYPn06MjMzGQCJiIYYj0eEZct+PG2rxRcHmgEAY2Kjce9VyXjgGjWSRgV24xIR0WDrONEAYf2zcG9ZAXjaACgw+qKfIuHyx3qc9z2YAgrharUaRUVFyM3NhV6vx+LFi3HLLbcEuzYiIpJRh0dExeZ9eMZWi+0HjwIA4oZH45dXJeP+a9RIHMnwTUShydN+Eu5Nf4Jrgwme1lM3jE9diMSrn8WwsZfIXJ1Xv9pRnE4nysrKYLFYUFdXB4PBgNtuu42BfBCwJ5yIBkuHR8S/Nu3FM7ad2HHIG75VI2Jw39XJuO9qNVQjBt43SUQUTKLowdEd/0DTp4+jo/kbAMCwcZch8epijDgvPWjXHdSecLvdjoqKCpSVlcHlcsFgMGDx4sW4/vrrB1Q89Y094UQUbO0dHvxj4148u3Ynag8fAwAkjIjB/deo8curkhHP8E1EIezEN+vQ+PFStB7eBABQjp6MhCuewOgLfwyFImpQauhPXpPkxkybzQaLxYKKigooFApkZWUhKyuLgVxCDOFEFCxtHR783e4N37uOeMN34sgYPHitBr+4chrihjN8E1Hoaj3yBRr/twwn6t8DACiGxUGlK0Dc7HsRFT1iUGsZ9BDemc1m87esJCQkIDc3F7fddhsuu+wyKS8z5DCEE5HU2jo8eK16D4rW7YSz4TgAYOyoYXjoWg1+fsU0jBner60kiIgGVfvRfWj67Akc3f4qIHqAqGjEXZoH1ZxlUI4cJ0tNQdusJxB6vR56vR4A/Kvjs2fPhkaj8besTJ06VerLEhFRgFrbPXi1ejeK1u5EfdMJAMC4UcPw8HUaLLliGkbHMnwTUejytDbDVfNbuGpegNjuXUAYOf0WJF75NGISZshcXeAGbU64xWJBWVkZbDYbNBoN8vLyYDAYMG3atMG4fNjjjZlEdLZa2jvwyobdKF63C98I3vA9YUwsHrlOg7x5UzGK4ZuIQpjoaUfzFy+j6fMn4Tl+CAAQe848JF5twvBzL5e1trDYrMflcqG8vBwWiwU2mw2pqam47bbbkJOTwzaLPrAdhYgG6mRbB17esBvF63Zij+skAGDimFgUXD8dufPOw8hhDN9EFLpEUcRx51to+t8ytDXVAgCiVdOReOXTGDn9lkHbZj4QsvaE94cvkJeVlWHjxo3QarVYvHgxNwXqAUM4EQ2E+2Qb5v3hf/5Rg+fGDYdx/nTcM/c8jIhRylwdEVHfTuz+AE2fPo6W/Z8BAKJGjEXC3F9hzCU5Z7XNfLCETQjvzOl0+ltW6urqoNfrkZWVxUB+CkM4EQ3EM7Za/Pq9rzBu1DD8ZsFM3D3nPAxn+CaiEHdy7ydo+uxxnNzzEQBAoRyOOO0voUp7BFGx8TJX17uwDOGd9bQpUHl5udxlyYohnIj6q/lkO5KftaHxeBv++qPZ+LF2stwlERH1qeVANZo+exwnvl7jfUI5DHEX34P4OUZEjzpH3uICIOt0FCmo1WoUFxejuLgYdrsddXV1cpdERBR2/vRJHRqPt2HmuFG4bdYkucshIupVy+HNED57Asedb3ufiIrGmJQ7oZqzFNFx58lbXJCEZAjvTKvVQqvVyl1GyNDpdJyOQkRndLSlHf/3kQMA8Kh+BpRRoXPjEhGRT2vDdjR9/iSO71ztfUIRhdEX/BiqeY8iJl4tb3H90Hk6SqBCsh2FumM7ChH1h2ndLhT+50tMHzsK2x+5DtHKwdmymYgoEG1NO9G0/mkc2/EvACIABUbNzIRq3q8xLPF8ucsbsP7kNcm/K69atQpKpRLLli2T+tRERBSAoy3t+K1vFTx9BgM4EYWMNlc9Dltzsee1S3Fsxz8BiBg5/QeYdHsNxn/3b2EdwPtL8naU8vJyiKIIh8Mh9amJiCgAyz+tx5FjrdAkjcSPtewFJyL5tR/dC2FDMZq/eBnwtAEARiR/FwmXP4bY8bNlrk4ekodwtVqNpqYmxMeH7vgYIqJIdaylHc9/6F0EWcZVcCKSWcexgxCqn0PzFjPEjhYAwPDz0pFw+eMYfs5cmauTl+QhXBCEfgfw7OzsIT+CkIhICis++xqHj7UiOXEkbk/lSEIikkfHiQa4qp+He/NyiO3HAQCxk65CwuVPYMTkq2WuLjRIHsKLi4v7HartdrvUZRARDTnHW9vx3Ie7AHhXwWO4Ck5Eg6zjpAD3xhfg2vhHiK3NAIDYiXO8K9/npYfUFvNykzyEq1QqlJWVYcmSJdBoNNDr9VCr1b3eIVpXV4fGxkapy4hYHFFIRL0xf/41Dh1txbSEEfhJGlfBiWjweFqb4d70J7hqfgdPiwAAGDZuFhKueBwjpt0Q8eE7JEYUzpgxw//fTqcz4Pf1p+ihiCMKiagvJ9o6oHl2LQ40t8BsuBQ586bKXRIRDQGetuNwb14OV/Xz8JxsAADEJKUg4fLHMFLzg4gP36eTdcdMURThdDqh1WqRnp5+xuMdDgfq6+ulLoOIaEgp+/xrHGhuwXmqEfhp2hS5yyGiCOdpP4HmLSvhqn4OHccPAgBiEmZANffXGDUzE4oopcwVhr6gtaPcc889Ab8nKSlJ6jKIiIaMk20dKPnA2wtemD4dw6LZC05EwfFt+H4eHccPAACi45KhmvcoRl/wIyiiQn4z9pARlBGFaWlp/XpPQkKC1GUQEQ0ZK9d/g/3uFkxRDcfPdOfJXQ4RRSBP+wk0b30RrqrnOoXvaVDNKcToC2+HQhkjc4XhR/IQXlFRccZj6urq4HK5oFKpMG3aNOzatUvqMoiIhoSTbR0wrfN+D106fwZXwYlIUj2G7zFToZrrC9/DZK4wfMnyMwNBEOB0OtHY2Ai73Q6j0Yhp06bJUQoRUVh7acM32Oc+icnxw3HXHPaCE5E0vOH7JW/P97H9ALzhO37OUoxJuYPhWwKyhPDZs2dj9uxvtyjlZj1ERP3X0v7tKrhx/nTERvNGKCI6O572k2j+4iW4qkr84Vs55jyo5hQyfEtM9u751atX92uUIREReb28YTf2uE7i3LjhuHsOe8GJaOC+Dd/PoePYPgC+8L0UY1J+wvAdBEEL4S+++CLMZjOcTicEQejzWLPZHKwyiIgiUkt7B4rX7QTgXQUfHsNVcCLqP0/7SRz94mUIVSWdwvcUqHRLMeainzJ8B1FQQviSJUv8wVqtViM5ORlOpxNqtRrAtz3hWq0Wy5Ytw6233hqMMiISd8wkIgD4S9Vu7BZO4py4WOTM5So4EfVPn+E75SdQRMfKXGF4GciOmZKH8I0bN6K8vByVlZVYtGiR//mlS5eiuLi4y7GrVq1iK0o/VVVVccdMoiGutd2DorXeXvCC67kKTkSB87SfxNFtr3jD99G9AADl6Mmn2k5+yvA9QL7FUd+OmYGQPIQXFxdj7dq1XW68BNDjtqWLFi3C2rVrsXr1aq6GExEF6NXq3fhGOIGJY2KRy+3piSgAYnsLmre9AqHK1DV864wYc9GdDN8ykHygbEJCQrcADqDXFe/09HRUVVVJXQYRUURq6/CgaK23F/yR6zUYwVVwIuqD2N4C9+YV2P2XC9HwwS/RcXQvlKMnIen6P2DKnV8i7rI8BnCZSL4S3tvul2lpaVi3bh3mz58v9SWJiIaM16r3oL7pBCaMiUUeV8GJqBfele+/nFr53gMAUI6edGrl+2cM3iFA8hAuimKPzxsMBixevLjHEH6m6SlERORdBX/Wtwp+nQYjh8k+ZZaIQsy3bScl34bvUedCNceI0Rf9DFHRw2WukHwk/w6u0+n8K97r1q2D3W7Hww8/jOTkZDgcDvz2t7/FQw895D++rq4O1dXVUpchK0EQYLPZYDQa4XA4ur2el5eH1NRUqNVqJCYmdnlNrVZDpVINUqVEFE7+VrMHdY3HMX70MCy+nKvgRPStb2+4fK5r+NYVYPTFdzF8hyDJQ/iiRYuwdOlSCIKAe+65By6XC2q1GrfeeiuKi4uRlZUFq9UKg8EAQRBQVFSE3NxcqcuQjd1uR3V1NRITE3vtg6+urkZZWVm351UqFerq6oJdIhGFofZOq+APXzedq+BEBKDTqMHq5zrdcDnJG7658h3SgvJdvLi4GKtWrUJWVhYaGxuh1+sBeFtScnJysHLlSlitVoiiCJVKhcLCwmCUIQutVgutVtvn6EW9Xo+ampouz9ntdjidTq6CE1GP/m7fC0fDcYwbNQxLuApONOT1uMPlqZ7v0RfdyfAdBoK2lLJo0aIuc8J9zGYzMjMzYbFYoNFokJubO+TmXmdnZ3d7zmazoaCgQIZqiCjUtXd48MypVfCHrtNgVCxXwYmGKk/7CTRvfQmu6uc7hW+OGgxHsnwn1+v1/tVxKQmCAKPRCJVKBZPJ1OtxNpsNVqsVGo3Gf1PoYAZgrVbb5bHRaOyzXiIa2v65aS92HTmGsaOG4edXTJO7HCKSgTd8v3gqfO8H4Nvh0shNdsJURCynGI1GOJ1O6HQ62Gy2PgO+xWLx7+jpY7PZkJGRAavVOhjldmGz2aDT6Qb9ukQUHjo8Ip6xeVfBH7xWjdFcBScaUjztJ9C8ZaU3fB8/AIDby0eKQf9uXl9fDwBITEyUrA2l8ypyeXl5r8cJgoCcnJxuNz/q9XoYjUaUlZUN+k2iJpNJlvBPROHhX5v2ovbwMSSOjEH+Fclyl0NEg8TTdhzNW1fCVf3bTuH7vFPby/8ECuUwmSuksyV5CF+yZAmWL1/e6+u+wCkIAhwOB6ZPn46HH35Y6jJ6VFFR0esIwOzsbJjNZn8It9lsMJvNAZ2386p6f9jtdjQ2Ng7ovUQU+To8Ip621gIAHrxWgzHDuQpOFOm84bvsVPg+CACIHjMV8XOWYkzKHQzfEUTy7+g2m63P13Nycro83rhxI55//vlBCeKVlZXd5nL7qNVq2O12CIIAlUoVtL71zsrLy6FWq4N6DSIKXxWb9+Grw8eQMCIGv7hymtzlEFEQedqOoXlLGYSa38Jz/BAAIDpuGlRzlmL0hbczfEegKKlP2NuOmb2ZPXt2jxvaBEN1dXWvodf3fF+jBaVmt9t7/VBARENb51XwB65VI254jMwVEVEweNqOwVXzf9j9yvlo/NgIz/FDiI5Lxli9GZN/ug1jLr6LATxCSb4SrlAo+v2ewQq+vlXuM9Vy+vSSgV7rTKS6FhFFHsuWffjy0FGoRsTg3ivZC04UaTxtx+DevAKumv+D58RhAEB0vNq78n3Bj6FQ8oN3pJM8hAfa4+x2u+F0OmE0GqUuYUB84fxse7SdTicsFou/9z0zMxM6nQ65ubndPgCoVKp+T0Zxu91dHsfGxiI2lndGE0USj0fE01bvRJT7r1YjfgT/MSaKFJ7Wo3BvWQFXze9OC9+FGH3Bjxi+w0xLSwtaWlr8j0/PaX0ZcAjPysqC0+mE0+mEy+Xq8ppSqQz4PGq1OqKmg6jVahQUFAQ0d/z0XTMDMWXKlC6PH3vsMTz++OP9Pg8Rha5VW/dj28FmxA+Pxi+v5io4USTwtLjh3rwcLvsL8JxsAABEx2tOhe8fMnyHqaKiIjzxxBMDeu+AQ3hFRYX/v202G0wmE9auXQuFQoH09PSAzpGRkYHc3FzEx8cPtAzJ+NpHQr1He/fu3V1GO3IVnCiyeDwinlzj7QW/72o1VFwFJwprHScFuDeXwm3/AzwtTQCAaNV0qHRLMfrCH0ERxalH4aywsBAPPvig/7Hb7e62YNobSb7yvkkieXl5WLduHdasWSPFaakH6enpUCqVyM/PR35+vtzlEJHEVp9aBY8bHo37uApOFLY6TjbCvfGPcG/8Ezyt3o6BmITzoZpbiFEzsxi+I4SvLbi0tBSlpaXo6OgI+L2S/h9gNpsxffp0KU8pKbVa3etNoL5e8FAfGVhVVSXZJkdEFFo8HhFP2byr4L+8KhkJIzkRgSjcdJxogGvj7+HeVAqxtRkAEJOUAtWcZRg1YxEUUYG37FL48C2Out3ugDs8JP8YFio3WvZEq9X2OrXEF845rYSI5PLvbQewdX8zxsRG4/5rQntBgIi66jh+GC777+DevAJi21EAQMzYi5Ew91GMnH4LFArJp0JTmJP8/4jTN+MJJRkZGb2uhDscjqBvziMFnU6HlJQUlJaWyl0KEUnI4xHx1Km54PdelYxEroIThYWOYwfR8F8jdr88A67q5yG2HcWwcbMw/qZKTPpxtXf1mwE84pWWliIlJaVfU+8UYn931zmDTZs2dXmsUqkwbdo0AEB9fT3y8vJgs9n8u1KuXLlS0vaK1NRUpKWl9bjlvCAISE5ORk1NTbe2E41GA5PJBIPBIFktUvL9eMPlcrEdhSgC/fuL/bj1L9UYHatE3TI9kkYxhBOFsvaj++Cq+T80bymD2HESADBsQioS5j6KEck3DmjfFAp//clrkn80s1qtSE1NRWZmJsrLy/3tHy6XC1qtFlarFcXFxbDZbMjMzAx4kkqgBEHodda3SqXCypUru7XMWCwWqNXqkA3gRBTZRPHbVfBfXJnMAE4Uwtqb96Dhg/ux55Xz4d74B4gdJxE7cQ4m3Pwmzr3tU4xU38QATgGRvCdcr9fjkUceQXFxcZfnc3Jy4HK5YLPZMH/+fADeLevVajUKCwtRVFQ04GuWlJSgqqrKP7fc6XQiIyMDKpUK2dnZXcK1wWCASqWC0WiERqPxf0iIpFnlRBRe3tp+EBv3ujFqmBIPXstecKJQ1O7+BkJVCZq3/wXoaAUAxJ57BRLm/grDz0tn8KZ+k7wdpbdAHRUVhdTUVFRVVXV7benSpd1CO3Xl+/HGzJkzOaKQKIKIogjdCx/DvteFguuno/jGC+UuiYg6aXPVwVVVgubtrwGeNgDA8EnXQDXvUQyffB3DNwFAlxGFtbW1AbWjSL4S3tNmN2vXrgWAXm985P/AgeOIQqLI8s6Xh2Df68LIGCUe4io4UchoE3ZB2GDC0S//Boje2c/Dp8yHau4yjJh8jczVUagJiRGFPbFarVAoFL3eMdrb2EAiokgmiiKeXPMVAODnV07DuNHcAZdIbm1NtRA2FOPojn/6w/eI8zK8K9/nXiFzdRRJJA/hCQkJ3Z6z2WwAel8Jl7gjhogoLLzz5SFU7/Gugj98rUbucoiGtNbGLyGsL8Kx2gpA9AAARky7Aaq5yzD8nLkyV0eRSPIQvmvXri6PXS4X7HY7UlNTe2yjePHFF5GZmSl1GRFLp9OxJ5woAuxznURu5WYAwJIrpmH8GK6CE8mhtWE7hPXP4lhtJQDvouBI9Y1Qzf0VYiekylschY2BbFsv+Y2ZdXV1WLp0KV588UU0NDQgMzMTdrsdVqvVPxXFp7CwEIIgYPny5VKWEJE4J5wocrS0d2D+8s/w2ddNuHjiGHx671UYHTso3YFEdErrka3e8L1zNfzhW/N9qOY+itjxs+UtjsJWf/Ka5N/1k5OTkZmZialTp/p7vc1msz+Ar1q1CmazGWvXrvW3oahUqrMaUUhEFE7u+/c2fPZ1E1QjYrD6Th0DONEgaj28BU3rn8HxXa/7nxs5/Qfe8D3uMhkro6FG8pXwzlwuV7c7RF0uV4+b6SQnJwerjIjAlXCiyPDi+q+RW7kFCgXw9l1zcMOFE+QuiWhIaDm0EcL6Z3Dc8eapZxQYNeNWqOYuw7Cxl8haG0UOWVfCO+tpREt8fHzAo1uoO/aEE4Wv9V834RervwAAPPWdCxjAiQZBy0E7hPVP47jz7VPPKDBqpsEbvpMukrU2ihxB6wkvLCzE9OnTkZmZyVVYmXAlnCi8HXCfhO73H2Ov6yRuuXgiLD9N4x4JREHUcqAaTeufxom6/3ifUERh1MwsqOYsxbCkFHmLo4jVn7wWFcgJ1Wo1ioqKkJCQgIULF+L1118/85uIiAgA0NruQdZfa7DXdRIXjh+Nv9w2mwGcKEhO7t+AA//+Pvb96wpvAFdEYdQFP8KkOzZj/A2vMYBTyAgohOfk5GDXrl3YuXMnZs+ejUceeQRKpRLZ2dkM5EREZ/DQW9vwv7pGxA2Pxuo7dRgznDdiEknt5L7PcGD1jdhffhVO1L8HKJQYfeHtmPyTLRj/nb9gWOL5cpdI1EVAIdxHrVajuLgYu3btQlVVFZKTk3H33Xf7A/kHH3wQrDqJiMLSX6p2o/STegDAX384G+ePHy1vQUQR5uTeT7B/9Q3YX3EtTnxj9YbvlJ9i8k+3YtzClxGTMFPuEol6JMl0FJvNBovFgoqKCigUCmRlZSErKwvXX3+9FDUS2BNOFI6qdwu4uvQTtLR78NiCmXhsAVfiiKRyYs/HENY/jZO7Ty0ARkVj9IV3QDXHiJh4tbzF0ZAleU/4mej1eqxYsQKNjY0oLy9HQ0MD0tPTkZSUhMLCQmzevFmKyxC801FSUlJQWloqdylE1IdDzS1Y9GoVWto9+F7KBPxaz9U4orMliiJO7P4Q+yv1OGBJ9wbwqGiMufhuTP7pdozLMDOAkyxKS0uRkpICnU4X8HuCOifctzpusVig0WhgMBiwePFiTJ06NViXjFhcCScKH+0dHiwo+xwfOhowc9worP/l1YgfESN3WURhSxRFnNz9AZrWP42Wvf/zPhkVgzEX/QzxukcQE8dcQaEhZOaEGwwGGAwGAN5AXlZWhuTkZGg0GuTl5cFgMGDatGnBLIGIaNAVvPMlPnQ0YHSsEq/fqWMAJxogb/heh6bPn0bLvk+8TyqHYcxFd0GlewTRY6bIWyDRWQjqSnhPXC4XysvLYbFYYLPZkJqaittuuw05OTlc4e0DV8KJwsPf7Xtwxz82AgBW/TQNt1xyjswVEYUfURRx8pu13pXvfZ8CABTKWIy5+G7Epz2M6DGTZa6QqGf9yWuDHsI78wXysrIybNy4EVqtFosXL+amQD1gCCcKfRv3unDVn/6HE20ePKqfgae+c4HcJRGFFVEUceIbG4TPn0bL/s8AnArfl9zjDd+jJ8lcIVHfwiaEd+Z0Ov0tK3V1ddDr9cjKymIgP4UhnCi0HTnWAt0LH+PrphO44YLxePOuOVBGcUMeokCIoogTX1shrH8aLfs/BwAolMMx5pIcxKc9hOjR58pcIVFgwjKEd+Z0OlFWVgaLxYK6ujoYDAaUl5fLXZasGMKJQld7hwc3vLgea3cegSZpJDbcdzUSRg6TuyyikOcN32u8K98H1gM4Fb4vzfWG71Fs56LwEvYhvDO73Y66ujosWrRI7lJk5fuizpw5E0qlEvn5+cjPz5e7LCICUPD2djz/oQOjhinx2b1X4eJz+EGZqC+iKOJE/fvele8DGwD4wnce4tMeZPimsFNaWorS0lJ0dHSgtrY2MkI4eXElnCg0lW/aix/+ze797ztSkXkZf2xO1Btv+H7Pu/J9sAoAoIge4Q3fqQ8ietREmSskOjshM6KQiCiSbd3vxt3l3s3ICq6fzgBO1Atv+H4XTZ8/jdaD1QB84XsxVKkPQjlqgswVEg0+yUP4pk2bujxWqVT+WeD19fXIy8uDzWaDSqWCXq/HypUrubJLRGGn8XgrbvlLFY63dWDBzHF45gZOQiE6nSiKOFH3HzStfxqtB2sAeMN33GVLEK99gOGbhjTJQ7jVasXSpUuhVqthMBiQnZ0NwDuOUKvVQhAEmEwm6PV6OBwOpKeno6qqSuoyiIiCpsMj4va/2+FsOI7kxJH4x+1aTkIh6sQbvt/xrnwf8rZrKaJHIu6yxYhPfRDKkeNlrpBIfpKHcL1ej0ceeQTFxcVdns/JyYHL5YLNZsP8+fMBALNnz4ZarUZhYSGKioqkLoWIKCh+8/4OvPfVYYyIicLqO9OQyEkoRAC84fu4820I659G6yHvplWKmFGIu9QXvsfJXCFR6JA8hFdUVHQL4IB32/rU1FR/APfRarWoqKiQugwioqBYtWUfitbuAgC8mDULl50bL3NFRPLzhu+3IHz+NFoPbwJwKnz72k4Yvom6kTyEJyYmdntu7dq1ALyr5D1RKPhjXCIKfdsONOPOf20CADx4rRo/nM3d+2hoE0URxx1vQlj/TKfwPdobvlMfgHLEWHkLJAphgzIdxWq1QqFQQKfT9fi6IAiDUQYR0YAJJ9pw61+qcKy1A/Onj0Xxdy+UuyQi2YiiB8cdb0D4/Bm0HtkC4FT4nvVzxGvvZ/gmCoDkITwhIaHbczabDUDvK+EcVU5EoczjEfGTf2zEziPHcJ5qBP51hxbRyii5yyIadKLowfFdr0NY/yxaj2wFACiGjUHcZb7wnSRzhUThQ/IQvmvXri6PXS4X7HY7UlNTexxF+OKLLyIzM1PqMoiIJPOktRZvf3kQw6O9N2KOHRUrd0lEg0oUPTi+czWa1j+DtoZtAADFsDjEz8pHnPY+KId3b0Ulor5JvpSTl5eH7OxsNDc3o76+Hnq9HgqFAiaTqduxhYWFqKmpQXp6utRlRCydToeUlBSUlpbKXQrRkPDmtgN40loLADBnXgrtZJW8BRENItHTgaNfVWDv37Q49J8foa1hGxTD4qCa+yim3LUTCVc8wQBOBO+29SkpKb22XvdE8pXw5ORkZGZmYurUqf5eb7PZ7J+KsmrVKpjNZqxdu9bfhqJSqTiiMEBVVVXc3IhokOw41Iw7/uEds3bvVcm4I3WKzBURDQ7R04FjtZUQNjyLtsYdAICoYfGIm30v4mbfC+Xw7q2nRENZfn4+8vPz/dvWB0IhBrEh2+VydSvE5XKhsbGx27HJycnBKiMi+L6oLpeLIZxoELhPtmHeH/6HHYeO4hp1Iqx5lyOGfeAU4bzhuxzC+iK0NX0FAIiKVSFu9i8RN+sXUA5XyVsgUYjrT14L6nSUnj4JxMfHB/wJgYhIDh0eET/950bsOHQUk+OHo/yONAZwimiipx3Hvir3rnw37QQARMUmIE57H+Jn5SMqlv9uE0ltUEYUdlZfXw/AO0+cK7pEFGo8HhE5lZvxxraDGKaMguWnaZgwhjdiUmQSPe04uuOfEDYUoV3wDlaIGp6IeO19iLssH1Gx/HeaKFgkD+FLlizB8uXLe33darUC8M4GdzgcmD59Oh5++GGpy5CVIAiw2WwwGo1wOBw9HmOxWPxtOQ6HA9nZ2dBqtYNZJhGdRhRF3P/mNvylajeUUQr883Yt5pzH3leKPKKnHUe//AeEquJO4TsJ8dr7ETfr54gaNkbmCokin+Qh3DcTvDc5OTldHm/cuBHPP/98xARxu92O6upqJCYmwul09nhMWVkZ9Ho91Gq1/7nMzEysXLkSKpVqkColotP96r0d+NP/6qBQAK9kz8Itl5wjd0lEkhI72nB0x98hbChGu8v7b1TUiLGI1z6AuMsWM3wTDSLJmxz7e5/n7Nmze10tDkdarRa5ubl9rmpXVlZ2CeAAkJGRgerq6mCXR0S9KFq7E0VrvSuCf771EtyeOlnmioikI3a0ofmLV7Dn1YtxxJqLdpcTUSPGIeGqZzHlZ7VQ6R5hACcaZJKHcIVC0e/39LZiHMmMRmOXxzU1NUhLS5OpGqKh7Y//q8Oj73rHsD13UwryLp8mb0FEEhE7WuHe+hL2vHoRjtjy0O6uQ9TI8Ui8uhhT7qqFKu1hRA0bLXeZREOS5O0oPY0f7Inb7YbT6ewWRs+GIAgwGo1QqVQ9bg7kY7PZYLVaodFo/LPMCwoKJKvjTEwmE1JTU2Gz2VBZWQmbzYaMjAy2ohDJ4JUN3+C+f38BAPhNxkw8dJ1G5oqIzp7Y3oLm7a9BqDKho/kbAIBy5ATEpz2EMZfkIipmpMwVEtGAQ3hWVhacTiecTidcLleX15RKZcDnUavV/ps1B8poNMLpdEKn08Fms0Gv1/d6rMViQXl5OSorK/3P+ULw2dYRKK1Wi5qaGqSmpkKj0SA3Nxdms3lQrk1E36rYtA85lZsBAA9co8ZjC2bKXBHR2RHbW9C87RUI1c+ho3k3AEA5ciLi0x7GmEvuYfgmCiEDDuEVFRX+/7bZbDCZTFi7di0UCkXA29BnZGQgNzf3rOeGd171Li8v7/U4QRCQk5ODurq6Ls/r9XoYjUaUlZUhNzf3rGoJhCAIMJvNqKmpgdlsRllZGZxO56B9CCAi4O3tB3H7P+zwiEDOvPPw/PdSBtRORxQKPO0ncfSLl73h++heAIBy1DmIT3sEYy65G1HRI2SukIhOJ0k7il6vh16vR15eHtatW4c1a9ZIcVrJVVRUQK1W99j2kZ2dDbPZ7A/hNpst4NXpzqvqgcjMzERlZSVUKhXMZjPy8vKQnp4Oo9HYZxsNEUlj3c4jyHytGu0eET/WTsKfb72UAZzCkqf9BJq3vghX9fPoOLYfAKAcPQkqXQFGX/QzREUPl7lCIuqNpD3hZrMZ06dPl/KUkqqsrERiYmKPr6nVatjtdgiCAJVK5f9gITW73d7tg4BWq0VlZaWk/fFE1LPP6htx8ysb0NLuwQ8unohXsmdBGcUATuHF03YczVtXwlX9W3QcPwAAUI6ZAlVaAcZcdCcU0dxgiijUSX5jZigHyerqamRlZfX4mm9koNPpDOqmOb3dfJmWltZtbCERSWvjXhe+++J6HGvtwIKZ4/DP27WI5nb0FEY8bcfQvMUMoeb/4Dl+CAAQPWYq4ucYMebCOxi+icKI5CH89M14AjFjxgzs3LlT6lK68a1y90WqEO6bunI6tVrtv6G1c+guKytDYWHhWV+XiHr25cFmLCz7HK6T7bg6ORGr70xDbHTgN5ETycnTehTuzcvhsv8OnhNHAADRcdOgmrMUoy+8HQrlMJkrJKL+kjyED0RDQ4PcJfjDeaAjFnvjdDphsVj8N1lmZmZCp9MhNzfXf43KykoUFRUhKSkJgPf3H+i29W63u8vj2NhYxMZy5YOoL86GY8gwf44jx1qRNjkeb909ByOHhcS3P6I+eVqb4d70Z7jsL8Bz0vtvZXS8xhu+L/gRFMoYmSskGtpaWlrQ0tLif3x6TutLUP4VcrvdKCsrg9VqPWOo7WnEYThTq9UoKCjoc+74meaY92XKlCldHj/22GN4/PHHB3QuoqFgj3AC+hWfYZ/7JC6eOAbv5sxD3HAGFwptnhYXXJtK4d74B3hOev8djVZN/zZ8R/FDJFEoKCoqwhNPPDGg90r+t9jlciE5ObnXdoyehMJUAl+9vd24GSp2796NuLg4/2OughP17lBzCzLMn6G+6QSmjx2FNbnzkDSKP7an0NVxUoB705+84btFAADEJMyAas4yjDo/m+GbKMQUFhbiwQcf9D92u93dFkx7E5Se8LS0NJhMJsyePfuMxwuCAI2GO9QFKi4urksIJ6KeNR1vxcKVn+Orw8dwnmoEbHnzMDGO49ooNHWcbIJ74x/g3vgneFq9Px2OSTgfqrnLMGpmFhRRvH+BKBSdTVuw5CHc6XSiuro64ONVKhUSEhKkLqNHvpsie+Jrmwn1CSU6nQ5KpRL5+fnIz8+XuxyikNR8sh3ffXE9Nu9zY8KYWFjz5uG8BO4USKGn42Qj3Pbfw7WpFGKrt5c0JinFu/I9YxHDN1GYKC0tRWlpKTo6OgJ+j+QhPC0trd/v6e9mNwOl1Wp7bZPxhfNgjieUQlVVFVfCifpwoq0DN7+yAeu/EZA4MgbW3HmYMW603GURdSF6OiCsfwYu+wsQ244CAGKSLkLC3EcxcsatUCg4OpMonPgWR91ud8A7wUv+t3wgq9qBtK1IISMjo9eVcIfDEZTNeYho8LS2e5D5ajU+dDRgTGw03suZh4vP4YdWCj3NX7wEYf3TENuOYtjYSzH+pnJMur0Go2YaGMCJhgjJ/6YnJiaivr6+X+9Zt26d1GX0KCsrC42NjT0GcYvFgry8vEGp42zodDqkpKSgtLRU7lKIQkp7hwe3/8OO/+w4hBExUXj77jlIm6KSuyyibsSOVghVJQAA1bzf4Nwfb8Co6bcwfBOFsdLSUqSkpECn0wX8HoUoiqLUhSxevBglJSUBt01IuVmPRqPxbwPfE4vFgvLy8i6vWywWmM1m/2zvUOT78YbL5WI7CtFpPB4Rd1dswqvVezBMGYU379Jhwfnj5S6LqEfNX7yMI7bFUI6ciMl3fYWo6BFyl0REEulPXgvKrKMVK1b4d3/MyMiAWq3udfSfw+E46w1ySkpKUFVV5d+J0ul0IiMjAyqVCtnZ2TAYDP5jDQYDVCoVjEYjNBqNv0c8lAM4EfVOFEX88t9f4NXqPVBGKfCvO7QM4BSyxI42CBu8+0TEpz3EAE40hEm+Eh4VFTWgud/9uZt0KPJ9spo5cyanoxCdIooiCv+zAyUf7IJCAbz2w9n4sXay3GUR9ap522s4Yr0HUSPHY8rPahEVw6k9RJGg83SU2tragFbCJQ/h06dPh9PphF6v92/T3heHw4FNmzYxhJ8B21GIunvGVotfv/cVAGCF4VLkzpsqc0VEvRM97djz2qVoF3Yh4aoiqNIekrskIpKYrO0oKpUKFosFt956a8DvSUpKkroMIopwv//Y6Q/gz38vhQGcQt6xr8rRLuxC1PAkxF0a+oMAiCi4JL8VOy0trd8b3iQnJ0tdBhFFsJfWf4MH3tgGAHh8wfl48FruukuhTfR0QNhQDACI196HqGGcXU801EkewlesWIFZs2b16z392WFzqOOIQhrq/m7fg1zLZgDAQ9dq8OuMGTJXRHRmx3auQlvTV4iKVSHusp/LXQ4RSSxkRhT6rFu3DlarFXa7HXl5eV1aVJYuXYrFixdj2rRpwbp8RGFPOBHwatVu3FWxCaII5F0+FX++9ZIB3QhONJhE0YO9f9OirWE7VPN+g4R5v5K7JCIKEtlHFNbX1yMzMxN2ux2+jJ+RkdHlmMLCQhQVFWHBggWYP39+MMogogjy8oZvkFO5GaII5M6bitJbGMApPBzf9W+0NWyHYlgc4mb9Qu5yiChEBGV7Lr1ej6amJqxYsQI1NTVoamrqdkx8fDyKi4uxZs2afu+wSURDy8rPv8Y9Fd4AvuSKaVi+6BJERTGAU+gTRQ+E9c8AAOJn/wLK4Sp5CyKikCH5SvjSpUuh1+uxYsWKgI4vLi7GkiVLsHz5cqlLIaIIsOLTevx89VYAwL1XJeOFmy/iCjiFjePOt9F6ZCsUMaMRN/uXcpdDRCFE8pVwQRACDuA+QWxLjzi8MZOGktJP6vwB/P5r1AzgFFZEUYSw/lkAQNxlS6Ac3vPO0UQU/gZyY6bkK+ED+QeS/6gGrqqqijdm0pDw+4+d/jGED1+ngenGC/m9gsLKifr30HrIDkX0SMRr75e7HCIKIt9O5r4bMwMRlJ7w/nI6nXKXQEQh5P8+cvgDuHH+dAZwCjveVXBvL3jcZYuhHDlO5oqIKNRIHsIbGhrw9ddfB3z86tWruVkPEfmVfLALD7+1HQDwqH4Gnr3hAgZwCjsnvrGh5cAGKJTDEa99QO5yiCgESR7Cc3NzYTAYAgria9euRU5ODpYuXSp1GUQUhorW7sTSd74EADy2YCae+g4DOIWfzqvgYy7NhXLUBJkrIqJQJHkI1+v1mD9/PtRqNZYtW4Z169bB7XajoaEBbrcbbrcb69atQ3Z2NhYsWIDi4mJu2ENEeMpai0ff3QEAeGLh+XhswfkyV0Q0MCf3fISWfZ9CoYxFfOqDcpdDRCEqaDtmGo1GPPfcc72uYomiCLPZjJycnGBcPuL4Gv1nzpwJpVLpvwGAKNyJoogn1tTiSWstAOCZGy5AYTq3oqfwtd+SgZN7PsKYy5Zg7PW/l7scIhoEpaWlKC0tRUdHB2prawPaMTOo29Y7nU4YjUZs3Lixy82XBoMBJpOJveD9wG3rKRKJoojfvP8VnrHtBACYbrwQj1w/XeaqiAbuxJ6PccCSDkTFYMrPdiB6zBS5SyKiQST7tvU+arUalZWV/sculyvgsS1EFNlEUcSyd3fAtG4XAOD576XgwWs1MldFdHaEDd654GMuupMBnIj6JHlPeHZ2dq+vMYATEeAN4AVvf+kP4C/cfBEDOIW9k/s+w8lv1gJR0YhPe0TucogoxEkewisrK7F582apT0tEEUIURTz01nb89iMHAOCPt1yMX16tlrkqorPn2x1z9IV3ICZ+mrzFEFHIkzyEq1QqZGZmYtOmTVKfmojCnCiKuP+NbXjhv957RP586yXIv5L3hlD4azlQjRNfvw8olFDpCuQuh4jCgOQhXBAExMXFYcWKFcjOzsa6deukvgQRhSGPR8QvXv8Cf/xfHRQKoCzzUiy+YprcZRFJQtjgnQs++oIfIkbF1ioiOjPJb8zUarWorq72P161ahWysrIwZ84c5ObmcrLHWdLpdBxRSGHH4xHx89VbUfb511AogBczL8PP5pwnd1lEkmg5tBHHne8AiijE64xyl0NEMug8ojBQQR1R2NnGjRthNpuhUCiQl5eHWbNmDcZlIwZHFFK48nhE5K3agpfWfwOFAnglexZ+ksapERQ5Dr6VieOONzDq/Nsw/obX5C6HiGTUn7wmeTtKb2bPno0VK1Zg+fLlqKqqQlZWFlavXj1YlyciGXR4RNxTsRkvrf8GUQrgtR/OZgCniNJ6eAuOO94AoIBqzlK5yyGiMDJoIbyznJwcrFy5EitWrEBSUhIKCwvlKIOIgqjDI+Ku8k34S/VuKKMU+NuPtPixdrLcZRFJSthQBAAYNWMRhiWlyFwNEYWTQQ/h69atQ3Z2NhITE2Gz2SCKIpKSkga7DCIKovYOD376z434a80eKKMU+MePtbht9iS5yyKSVGvDdhzb6f2JrmouF5OIqH8kvzHT7XZ364Fxu92oqKiAyWSC0+mEKIrQ6/UwGo1IT0+XugQiklF7hwd3/HMjyjftQ3SUAv+6IxW3XnKO3GURSU7YUAxAxEjNzRg29hK5yyGiMCN5CE9OTkZDQwMAYNOmTTCbzSgrKwPg3THzkUceQV5eHpKTORuYKNK0dXjw47/bYdmyHzFKBSruSMPNF0+UuywiybU2foVjtRUAANXcZTJXQ0ThSPIQLooilixZgurqatjtdoiiCK1Wi7y8POTk5Eh9OSIKEe0dHvzwbzVYvfUAhimjYPlpGm5KmSB3WURB4aoyAaIHI9U3Inb8bLnLIaIwJHkIB4CysjKIogiDwYDCwkLMns1vUESRzHPqJkxfAF99Zxq+eyEDOEWmNsGBozv+CQBQzXlU5mqIKFwFJYTn5OTAZDIhPj4+GKcnohAiiiLyX9+Kv9n3IjpKgcqfpDKAU0QTqkoAsQMjpn0HsRPT5C6HiMJUUKajrFixggE8SHQ6HVJSUlBaWip3KUQQRRHGd76E+TPvTpiv/XA2vncRe8ApcrW56nH0y78CAFRz2AtORF6lpaVISUmBTqcL+D2Sr4RnZWVJfUrqpKqqijtmUsh4Zu1OPP+hAwBgNlzKMYQU8VzVzwGedgw/Lx3Dz50ndzlEFCLy8/ORn5/v3zEzEJKvhK9YscL/3+vWrUNhYSEWLlzYbXfMpUuXor6+XurLE9EgeeG/Tvzmva8AAP/3/Ytwz9ypMldEFFztzbvRvO0vAICEuewFJ6KzE5Se8Pr6emRmZvqnowBARkZGl2MKCwtRVFSEBQsWYP78+cEog4iC5KX13+DBN7cBAJ5YeD7uv0Ytc0VEwSdUPw942jB88rUYPukqucshojAXlJ5wvV6PpqYmrFixAjU1NWhqaup2THx8PIqLi7FmzRquiBOFkfJNe5Fr2QwAeOhaDX6lnyFzRUTB1350H45+8TIAQMVVcCKSgOQr4UuXLoVer+/SltKX4uJiLFmyBMuXL5e6FCKS2FvbDuCOf2yEKAJ5l09FyU0XQqFQyF0WUdC5av4PYkcLYs+9AsMnXyt3OUQUASQP4YIgBBzAfXwtK5FCEATYbDYYjUY4HI4ejykrK4PD4YBGo4HD4UBhYSFUKtXgFkrUD+t2HkHWX2vQ7hHxY+0klN5yCQM4DQntxw6geYt352fV3Ef5/z0RSULyED6Qb06R9A3NbrejuroaiYmJcDqdPR5TVlYGq9WKyspK/3vS09NRU1MzmKUSBeyz+kbc/MoGtLR78IOLJ+KV7FmIioqcv7dEfXHbX4DYcRKxE+dgxHl6ucshoggRlBsz+6u3sBqOtFottFptn7+nvLw8WK3WLu/xrZ7r9fwGT6Fl014XbnxpA461diBj5lj883YtopVBuZ2EKOR0HD8M92bvT3e5Ck5EUpL8X9KGhgZ8/fXXAR+/evVqJCcnS11GyLLb7QAAtbrrNAm1Wt0lmBOFgh2HmrGw7HMIJ9pwVXIiVv9Uh9hopdxlEQ0al/0FiO3HMWy8FiOmfUfucogogki+Ep6bmwuDwQCLxYKpU/ueG7x27Vrk5ORI1oYhCAKMRiNUKhVMJlOvx9lsNlitVmg0GgiCAAAoKCiQpIaBUqlU/oBOFArqG48jw/w5Dh9rhXZSPN66aw5GxYbED8+IBkXHiQa4N3uHBnAVnIikJvm/qHq9HlarFWq1GkajEXq9HmlpaWhoaIDb7QYAVFdXw2w2w2KxYMWKFZg2bdpZXdNoNMLpdEKn052xpcNisaC8vNzfjw14Q3lGRsagrERrtVoA8Id/n0hqyaHwt891EnrzZ9jrOomUCaPxXu5cxI+IkbssokHl3vRHiG1HMWzspRipvknucogowijEII0mMRqNeO6553pdORBFEWazGTk5OZJeNzU1FWlpaTCbzd1eEwQBycnJqKur6zaJJDU1FXl5ecjNzZWkDqfTCY1G0+PkF6PRCAD+1Xqn04nMzEwkJib2+kHAtw2qy+XitvUUVEeOteC6P3+K7QePQp00Ev/9+ZU4N3643GURDaqOkwJ2vzwdYqsb42/8F0bNuFXukogoDPQnrwXtZ8smkwl5eXkwGo3YuHFjl5Veg8EAk8k06L3gFRUVUKvVPY4CzM7Ohtls9odwm83WY5DvSedV9UCYTCaUlJSgpKTEX49arUZiYmK/zkMkNdeJNnynbD22HzyKSfHDYcu7nAGchiT3pj9BbHUjJikFI6f/QO5yiCgCBbXBU61WdwmoLpcL8fHxwbxknyorK3sNumq1Gna7HYIgQKVSQa/XB3VSyek96EajERkZGUG7HtGZHGtpx00vrYd9rwvjRg2DNW8epiWOlLssokHnaXHDvfEPAADVnGVQKDgNiIikF9B3Fp1OJ8nW8gMN4FJdv7q6uttUEh/f84PRm+0L+z6CIMDpdErWCkPUXy3tHbj11Sp8Ut8E1YgYvJ87DxeMHyN3WUSycG36IzwtAmISzseoGYvkLoeIIlRAIVzuTWSknJ5ypl0ppQrhp9942VlOTg4qKir8j41GI1auXCnJdYn6q63Dgx/+zQ5r7RGMGqbEf+6Zi1mT5PuJFZGcTuz5L4T1zwAAVHMLoYjiSE4iCo6A21EifTSTL5w3Njae1XmcTicsFov/BsvMzEzodDrk5ub6r2EymWC321FSUoKGhgZkZmYG3PrimzDjExsbi9jY2LOqmYYuj0fEXeWb8O8vDiA2Ogpv/GwO5k1NkLssIlm0uZw49HY24GnHqJlZGHX+D+UuiYhCXEtLC1paWvyPT89pfQk4hHcOkYMtnD4AqNVqFBQU9Dl3/Gz6zadMmdLl8WOPPYbHH398QOeioU0UReS/vhV/t+9FdJQClT9Jw/wZY+Uui0gWnhY3Dr5xCzwnGzBsQhrGLlgZVv/2EJE8ioqK8MQTTwzovQGF8L42vhkMaWlpQZ8c4msfCfUJJbt37+4y8oar4DQQoiii4O0vYf7saygUwF9/NBs3pUyQuywiWYieDhx69w60NX4J5ehJmPA9C6KiR8hdFhGFgcLCQjz44IP+x263u9uCaW8CCuGPPPLIwCojyaWnp0OpVCI/Px/5+flyl0Nh6mnbTvz2IwcAoMxwGbJnTZK5IiL5NP6vECfq34UiegQmfG8VokefK3dJRBQmfG3BpaWlKC0tRUdHR8DvHVJ7UKvV6l5vvPT1gvc2PSVUVFVVcbMeOisv/NeJx97/CgDwf9+/CHfPPU/miojk0/zFK3DbXwAAjF3wImInaOUtiIjCkm9x1LdZTyCG1PBTrVbb69QSXzj3bStPFIleXP81HnxzGwDgiYXn4/5rQvtDJ1EwndjzMY6s+wUAQDX3Vxg9M1PmiohoKBlSITwjI6PXlXCHwxHUzXmkotPpkJKSgtLSUrlLoTDzr417kWfZAgB4+DoNfqWfIXNFRPJpc9Xh0DvZgKcNo2Ysgmrer+QuiYjCWGlpKVJSUqDT6QJ+j0IURTGINQ261NRUpKWl9bjlvCAISE5ORk1NTbe2E41GA5PJBIPBMFil9ovvxxsul4vtKNRvls378KO/29HuEZF3+VT8+dZLOPmBhixPixv7Kq5BW8N2DBuvxTmZ6xAVw91hiejs9SevRdxKuCAIvc76VqlUWLlyJYxGY5fnLRYL1Gp1yAZworPx4vqvcdvfatDuEXG7dhJKb2EAp6FL9HTg0Hs/QVvDdihHnYMJ31/FAE5EsoiIGzNLSkpQVVUFp9Pp/5WRkQGVSoXs7Owu4dpgMEClUsFoNEKj0fh7xH2b6xBFkuc+2AXjO18CAHLmnYc/33opoqIYwGnoavrkUZyo+w8UyuGnJqFwMhARySPi2lEile/HGzNnzuSIQjojURSx7N0dMK3bBQAwzp+OZ2+4gCvgNKQ1b3sNR6z3AADG3fBXjD4/W+aKiChSdB5RWFtbG1A7CkN4mGBPOAWqwyMif/VWlH3+NQCg+MYLUXD9dJmrIpLXyX2fYv+qBUBHK1RzlyHh8sflLomIIlB/8lpEtKMQkVdruwc//ddGlG/aB4UCWLHoUuTMmyp3WUSyanPV4+BbmUBHK0ZOvwWqeb+RuyQiIoZwokhxvLUdhler8d5XhxGjVOBvP9Ii8zLu/EdDm6e1GQffuhWeE4cxbNwsjFv4MhSKiJtJQERhiN+JwgznhFNPhBNtWFj2Od776jBGxijx5l1zGMBpyBNFDw6/91O0HfkCypETTk1CGSV3WUQUgTgnPIKxJ5x6c7C5Bd9Z+Tk273NDNSIGb989B1dMS5S7LCLZNf5vGVzVz0OhjMVEw1oMP2eO3CURUYRjTzjREFHfeBwLyj7HriPHMGFMLN7PmYdLz+WHNKLmL/8GV/XzAICxGWUM4EQUciRvRyksLJT6lETUg+0HmnF16SfYdeQYpiWMwMf5VzKAEwE4ue9zHLEtBgDE64wYfcEPZa6IiKg7yUN4SUnJGY9ZsGABnn/+eakvPSSwJ5wAoOobAdf8+RPsdZ1EyoTR+PgXV2L6WPa6ErW7v8HBtw3eSSiam5FwxRNyl0REQ8Cg9oRv2rQJs2bN6vZ8VFQUPB7PGd+/atUqlJWVobKykj3OAWBPOPl8sOsIbn5lA462dGDOFBXeuWcukkYNk7ssItl5Wo9if8V1aD2yBcPGXopzsj5E1LDRcpdFRENIf/LagFbCFy9ejNTUVCiVSuh0OhQWFuKDDz4AgIB35Fu0aBHKy8uRk5MDt9s9kDKIhpw3vjiA7764HkdbOjB/+lhY8y5nACfCqUko79+J1iNbTk1CWc0ATkQhbUAhPDc3F9OmTYMoiqipqUFJSQn0ej2USiUAYNmyZVi3bt0Zz6NSqVBUVASj0TiQMoiGlNeqd8PwWjVa2j34wcUT8fbdczBmOO+tJgKApk8fw3HHm4ByGMbfVInouPPkLomIqE8DCuFarRYOhwNNTU2orKxETk4OkpOT4etsMZlMyMjIgFKpxMKFC/H8889j06ZNPZ5LrVajsbFxwL8BoqHg9x87cee/NqHDI+LOtCmouCMVw2OUcpdFFBKO7vgHXFUmAMBY/QoMP3eezBUREZ2ZpHPCBUFAYmIicnNzYbVaUVdX571IpxaVjIwMGAwG6PV6TJs2DW63G5mZmXj//felKiMisSd8aBJFEY+vqcVT1loAwP3XqPH8TSmIigqs7Yso0p3cvwEHLOkQO1oQn/YwEq96Vu6SiGgI609ek3yzHqVSiY6ODgCAy+VCRUUFrFYrbDYbBEHwXvS0vvHc3FwsX75cyjIiju+LOnPmTCiVSuTn5yM/P1/usiiIPB4R97+5DX/6n/fD7FPfOR/L0mcEfN8FUaRrb96Nff+8Ah3HD2Kk+iaM/56FW9ITkSxKS0tRWlqKjo4O1NbWyh/CT1dXVweLxQKr1Yrq6moIggCDwYCKigopS4hIXAkfWto6PLi7fBP+Zt8LAPjjLRcj/8pkmasiCh2etmPYX3E9Wg9vQszYi3Fu1keIGjZG7rKIaIiTdSU8MTGRPd5BwBA+dJxo68Btf63BW9sPQhmlwF9um4UfayfLXRZRyBBFDw6980Mc3/U6okaMw7k//BQxcVPlLouISN5t62tqaqQ+JdGQ4T7ZhptfrsJHzgYMj45CxU/ScFPKBLnLIgopwudP4viu1wHlMEz4XiUDOBGFpX6F8IULF0Kr1SIjIwPz58/v8ZjkZP7InGggDh9twXdfXI+aPS6MiY3Gm3fpcK1mrNxlEYWUo1+VQ1jvvflybPqfMfzcK2SuiIhoYPrVjpKYmAiXy+V/rNVqodfr+wzlPcnKyoLL5UJmZibuueee/lU8RLEdJbLtFk5ggfkzfHX4GMaNGoZ3c+ZCO1kld1lEIeXkvk9xYNV3IHacRHzqg0i8uljukoiIugjajpmJiYkQRdE/E7ympqbLTPDvfOc7fc4E96moqEBFRQVEUcTChQtRX1/fnzKIIkrt4aO4+k+f4KvDxzBFNRz/zb+SAZzoNK1HtuLgGz+A2HESI9U3IeHKZ+QuiYjorPRrJXzBggXIysrCPffcA5fLherqav/4Qbvd7j3haTPB9Xo99Ho9Zs2a1et5s7OzUV5ePvDfxRDAEYWR6/o/f4qPnA2YOW4U1uTOw3kJI+UuiSiktLnqsL/iOnQc24/Yc6/AxFv+g6gY/j0hotAR9BGFixcvxoIFC3Drrbf2+PratWuxZs0arF27tl+hfOHChdys5wzYjhK5NM+uRV3jcXz08ytwtTpJ7nKIQkrH8UPYV3Ed2oVdiBl7Mc4xrIVyeILcZRER9UjWEYWAt+dbrVZDp9OhqqoKVqsVGzdu9F6wUyj3bVmflpbGEH4GDOGRyxfCP7v3KsydynBB5ONpcWP/qgy0HtqI6LhpOCfrQ0SPPlfusoiIeiXriMIlS5Zg2bJl/pXuRYsWobi4GC6XCzabDWvWrEFlZSUEQYDD4YBWq0VlZaXUZRARURjztJ/EwbcMaD20EVEjxmHiLe8wgBNRRJF8f1+Hw9Fj/3d8fDwWLVoEs9mMxsZGVFdXQ6vVorq6miu7RETkJ3o6cPi9n+Dkng+hGDYGE295GzEJM+Qui4hIUpKH8M7tJn3RarWoqKhAdna21CUQEVGYEkURDevuxfFd/z61Gc8qxI6fLXdZRESSkzyEi6KIzZs3B3SsWq1Gbm4uXnzxRanLICKiMNT02WNo/uJFQBGF8Tf8FSOmXCd3SUREQSF5CC8oKMD8+fPx9ddfB3R8eno6rFar1GUQEVGYcW38I1wbvBvwJM3/E0ZNv0XmioiIgkfyEK7X6zF//nyo1Wq89NJLUp+eiIgi0NEd/0DjRw8BABKueAJxl3A3ZSKKbJKHcACorKzErFmzkJubi7Fjx2LZsmW97qJZX18PQRCCUQZRWAjClFCisHK87j0cXuMN3XGz7kW8bqnMFRERBZ/kIwp9ampqkJeXh5UrV8JkMsFkMgHwrpSr1WqoVCo4nU5YLBaYzeZglUEUNgK8p5koopzc9zkOvZMNeNox6vzbkHjtcwHf4E9EFM6CFsIBwGw2Iy8vDzk5Of7Nek7v/y4oKMA99/DHjoHS6XTctp6IIkJrwzYcfONmiO0nMGLqQoxb8CIUiqD8gJaIKKg6b1sfqKDsmNmTjRs3wmazweFwAAA0Gg0MBgOSk5MH4/JhjztmRi71MzbUN53A57+8CnPO446ZNDS0ub/G/orr0HF0L2InzsXERe8hKmaU3GUREZ0VWXfM7M3s2bMxezZnvRIRDXUdxw/j4OvfRcfRvYhJvBATfvAGAzgRDTn8uR8REQ0aT2szDrzxfbQ17YRyzHmYeMs7UA5PlLssIqJBF1AIX7duHerr64NcChERRTKxvQUH385C68EaRI0Yi4m3vIPoMZPlLouISBYBtaMUFxdj7dq10Gq1WLx4MTIzM9mX3IeSkhIAgMPhgNPphNlshlqt7nJMWVmZ/78dDgcKCwuhUqkGs0wiokEjejpw+P07cfKbtVDEjMLEm9/EsMTz5S6LiEg2AYXwNWvW+MPkI488gtzcXOj1eixevBi33MIdzTozGo1dArXFYoFGo4HD4fAHcYvFAqvVisrKSgCAIAhIT09HTU2NXGUTEQWNKIpo+PABHNu5CoiKwYTvWRA7MU3usoiIZBVwT7harYbJZEJjYyOqqqqQnJyMu+++G0qlEtnZ2fjggw+CWWfYsNlsaGxs9D82GAxQqVRdZqEXFRWhsLDQ/1ilUiExMRE2m21Qa6XQwK16KNIJnz+F5i0rACgw7jt/wYjz0uUuiYhIdgO6MVOr1WLFihVobGxEeXk5RFFEeno6kpKSUFhYiM2bN0tdZ1gQBAFOpxNOp7PL84mJif5dQQVBgN1u79aeolar/SvjNDQpwA1KKPK4Ny+HsP5pAEDS9X/A6JmZMldERBQaznpEocFggMFgAODtc7ZYLDCZTNBoNFi8eDEWLVqEadOmne1lAiIIAoxGI1QqlX+Hzp7YbDZYrVZoNBp/OC4oKDjr66tUKjQ1NXV73ul0IjU11f/fvmNPf6/dbj/rGoiIQsXRryrQ8MH9AADVvF8j7rI8eQsiIgohks4Jz83NRW5uLlwuF8xmM5YvX46CgoKg39BpNBrhdDqh0+lgs9mg1+t7PdZisaC8vLzLqrPNZkNGRka33TylUFZWBrVajdzcXADo0qpyur5eIyIKJ8e/tuLw+z8DIGLMZUugmvsruUsiIgopQZkTHh8fj4KCAuzatQs7d+7E/Pnz8cgjjyAhIQHZ2dl4/fXXJb2eyWRCZWUlCgoK+pwwIggCcnJysHLlyi7P6/V6NDY2dplYIgXfynxP4d63Ak9EFGlaDlTh0NtZgKcNo2ZmIum630GhYLsVEVFnQd8x03dDp8lkgs1mg8ViwaJFi6BQKJCbm4usrCxcf/31wS4DAFBRUQG1Wt1jUM/OzobZbPavWNtsti43U/alt17unJwcrF27tkv/d2Jiz5tSCILQ62tEROGitXEHDvz7+xDbjmH4eXqMW/gKFAruC0dEdLpB27Ye8K446/V6rFixAhaLBWVlZUhPT0dCQgLy8vKQm5sb1P7xysrKXoOuWq2G3W6HIAhQqVT+WgfKN6pQq9V2uw7gbT3p/GGgsbGx27FEROGkvXk3Drx+IzwnGzBsQhom3FQBhXKY3GUREYUk2ZYnDAYD1qxZg6amJhQVFWHNmjVQq9WYMWMGfvvb38Ltdkt+zerq6m5TSXx8z58+2WQgLBYLMjIyuoRqX6uLSqWCVqvtdh2n04mMjIyzvjYRkRw6TjTgwOs3oqN5N2ISZmLiD95E1LDRcpdFRBSyZP8ZYXx8PHJzc1FdXY1du3YhJycHy5cvR0JCAhYuXIiXXnpJsmv5Vrn7crYh3GazoaqqComJibDb7bDb7bBYLF2OKSws7NLC4usPP5uVdyIiuXhaXDjw7++hrXEHlKMnYeIt/4FyxFi5yyIiCmmD2o5yJmq1GgUFBSgoKIDdbkdFRQUeeeQRFBcXY+fOnUG9ti+cn82EEkEQkJmZCUEQ/FvX+3S+OdNgMPhvBE1MTERVVRXWrl0b0DVO/wlBbGwsYmNjB1wzyU/kbj0UxjytR3HgjZvRerAaUcOTMPGWdxAdd57cZRERDYqWlha0tLT4H/enkyOkQnhnWq0WWq0WxcXFcLlccpcTkN7mhPfEdwMoAP+c9UBMmTKly+PHHnsMjz/+eMDvp9DF4REUbjztJ3DwrUVo2fcpomJVmHjrfzAsKUXusoiIBk1RURGeeOKJAb03ZEN4Z/Hx8UG/hq8lJNQnlOzevbvLrHWughORHMT2Fhx6Oxsnd38ARcxoTPjB24gdP1vusoiIBlVhYSEefPBB/2O3291twbQ3YRHC6VtxcXFB2fCIiChQYkcbDr17O07UvwdF9AhMuPkNDD9njtxlERENurNpC+5XCN+0aROcTiecTicaGhrgdDohiiIUCgWys7Nx6623DqiIwaJWq3u98dLXC97b9JRQodPpoFQqkZ+fj/z8/2/v/oPbvu/7jr8gUj8sW+JXkG1RcZRUX8bXRHMvFii03tIuqQhEcn7UsQSKvdxtt9wiYimz3ZZkhOlbF2ftppCXLLvduAvAZLuL11slQrKdpI4lQN6t2a1pQcKJm8pNZ0By7FiULINfUj8sSiS/+0MBQooEBZAAvsCXz8ed7kQA3y/fvPd9wTc/eH/fnx6nwwGwytizM3rr5Gd0LfOcPE3rte33Tuiud/+O02EBgKMGBwc1ODiomZmZko8pqwgPhUI6e/asWlpa9OSTT+qJJ56oSatIpfh8vqI7VeaL83qf1Z1KpVgJB+AI257VpWRYV//umLSmWfd//E9113s6nA4LAByXXxydnJwsuTYuux3FMAxls9mGKr7zgsGg+vv7F30uk8kwIhAAirBtW2//r3+pK2e+I3nW6P5H/4c2mh93OiwAaFhlzwnv6+tryAJckg4dOqRcLrdoS0o8Hlc4HHYgqvL4/X7t2rVLg4ODTocCYJWwbVu5Hz6hyy9/U5JH9+37b7r7wfpuPwSAWhocHNSuXbvk9/tLPqbslfByxuk5wbKsorO+DcPQ0NCQIpHIvM1y4vG4TNOs+59Noh3FjWwxKBz1zfrRVzSZ/oYk6d7AN3XP+z/tcEQAUF9q0o5SjyP8BgYGlEqlCjeN5reANwxDXV1d84rrUCgkwzAUiUTU1tZW6BGfu5kOAOAW66/6Zf3lf5Akbf3If9Kmhz7jcEQA4A5lFeEej6cuV2F7e3vLen0gEGjY/m+mo7gXm/Wg3kyk/7PG/+8fSpK2/PYRbX74DxyOCADqU9Wno8B5tKMAqIXJl4eU+/MvSZKMR/5Qxp4vOhwRANSv5bSjlH1jZjXs27fP6RAAAL90+cx39PaLtz5pa9nzJRm/9W8cjggA3KcuivBiG+gAAGrrys+O6VKiW5K0+eHPa8uH/r089EoBQMXVRRFebJoJFmJEIYBquZr5rt46+U8ke1abHvqn8n746xTgAFCCqo8otG1bXV1dFd3aPZ1OF93FEgvREw6gGq6dO6WLz39amp3W3e//tLbu/S8U4ABQopqMKIzH42UHthTbtnmjBwAHvfP6/9bF74WkmRva+OAB3ffRb8mzpsnpsADA1couwnfu3Cmfz1exAEZHR3Xu3LmKnQ9oNDZ79cBB19/8kS5891OyZ67rrp0f0/37vyPPGgZnAUC1lT0nfHR0tOLtEFu3bq3o+QAAdzZ1Ia2xZz8h++ZVbXhPQPd//E/laVrndFgAsCqUdWOmbdtV6UfesmVLxc/pVtyY6V40ZaGWblz6a4098zHZNya14YHf0bZPxrWmeYPTYQFAQ6r6jZnRaLTsoJw8rxtxYyaAlbqR+1udP/GoZq/ntL71N7XtsWe1Zu1Gp8MCgIZV9c16Ojo6lhWYU+cFAMx308po7Ph+zV67qHX3Paxtn/q+1qzb5HRYALDqlLUSvm/fPvl8PgWDQe3du7daMQEAqmB68ucaO75fM1ff1Nqtu9R64Hk1bTCcDgsAVqWyVsJTqZQGBgYUDAbV1NQkv9+vvr4+vfjii2V900OHDmnfvn361re+VdZxAIDlmb56XudP7Nf05dfUbLxPrQdeUNNd9zodFgCsWmUV4V6vV7Zta+fOnbJtW6Ojo+rv7y8U5fv379fXvvY1/fjHP17yPMeOHdOxY8dk27b27dvHiEIAqKKZa29p7Ph+TVuvqnnzr2n7wZNqvrvV6bAAYFUrqwg3TVOxWEyvvvqqxsfHlUgk1Nvbq927d8u2bZ06dUqRSETt7e13LMpbWlp0+PBhnTx5UpFIpFI/j+sxHQVAOWauvaWxE4/qZu4VNd3zgFoPnlTzph1OhwUArlL16Simacrr9Uq6VUR3dHTMu6ny9OnTOnXqlE6fPq10Oq1Tp04pkUgUng8GgwoEAgoEAnr44YcLj7NtfemYjuI+7NWDapm+8qbGTuzXzdzfqmnjNm0/eFJrW3Y6HRYAuM5ypqN4bLvy+/UdOnRIpmnK7/crlUopkUjopZdeuvUN52xRb5qmcrmc9uzZo5MnT1Y6DFfJJ3ViYoIi3GV2/FFCv5i4rtF/9Q+1+4HSLlzgTm5OnNPYif2ansiq6Z53q/XAD7TO++tOhwUArlZOvVbxvYk/97nP6cknnyysdB88eFBf/epXNTExoWQyqVOnTml4eFiWZSmTycjn82l4eLjSYQDAqnUj9zONnXhUM1feUHOLqdYDL2hty685HRYAYI6yesJLkclk5rWa5LW0tOjgwYOKRqPK5XIaGRmRz+fTyMgIK7sAUCE33npZ5+MdmrnyhtZ636/tnS9SgANAHap4ET633WQpPp9Px44dU1dXV6VDAIBVaWospfPxYGEjnu2h02q+511OhwUAWETFi3DbtvWTn/ykpNeapqnu7m7mhQPACr3zxg91/vg+zU6Na/32R9R68JSaNt7ndFgAgCIqXoT39vZq7969eu2110p6fUdHx7wJKlgaIwoB3O7auVO68OwnZN+8og07fletj7MTJgDU0nJGFFa8CA8EAtq7d69M09S3v/3tSp9+1UulUjpz5ox6enqcDgVAHbj66jO68N3HZU+/o7t2fkzbHntOa9bd43RYALCq9PT06MyZM0qlUiUfU/EiXJKGh4f18MMPq7u7W/fee6+efPLJortonjt3jjnhALAMV175E138s09Lszd194MHte0Tx7SmeYPTYQEASlDxEYV5o6OjCofDGhoaUn9/v/r7+yXdWik3TVOGYSibzSoejysajVYrDKDuVX5SP1aDyZeH9PaLn5dk655d/1j3BqLyrGlyOiwAQImqVoRLUjQaVTgc1uHDhwub9dze/93b26vPfvaz1QwDaAilzRUCpInRbyj3w4gkafMH/0Dej/xHeTxV+WATAFAlVS3CpVujCEdHR/XSSy8pmUwqk8lIktra2hQKhbRzJ1soA0ApbNuW9Zd/LOtHfyRJatnzr7XlQ39c8mhYAED9qHoRnrd7927t3r27Vt8OAFzFtm3lfviEJtPfkCRt+Qf/TsZvPuFwVACA5apZEQ4AWB7bntXbL/4LXf7rmCTJ++Gvq2X3P3c4KgDASlCEA0Ads2endSlxWFde+RNJHt0b+KY2PfQZp8MCAKwQRTgA1Cl7ekoXX/hHuvbqs5KnSfft+++65/2/73RYAIAK4Hb6BsOOmcDqMHvzmi58L3SrAG9ap/s/cZQCHADq1HJ2zGQlvMGkUilt3rzZ6TAAVNHsjcu68Nzjuv6LP5eneaO2fTKuu94bcDosAEARPT096unp0eTkpFpaWko6hiIccJgtduvBr8xcz+nCM5/U1IWUPOs2q/Wx57ThgQ85HRYAoMIowoE6wahnzFy9oPPPPKqbl36qNRu8an38ea3f5nM6LABAFVCEA0AdmL78usZO7NfN8f+npo2taj3wvNbd+5DTYQEAqoQiHAAcdtPKaOz4fk1ffk1Nm3Zo+4EXtHbLg06HBQCoIorwKhgYGJAkZTIZZbNZRaNRmaY57zWWZSmZTCoSiSiTyTgRJoA6cOPtMxo78ahmrp5Xs/E+bT/wgpo3v8fpsAAAVUYRXmGRSER9fX0yDEOSFI/H1dbWpkwmUyjE0+m0RkZG5PV6lc1mHYwWgJOmLv5YY898TLPvXNLarX9PrQd+oOa7W50OCwBQA8wJr7BkMqlcLlf4OhQKyTAMRaPRwmM+n0/d3d3y+bjhClitpt76icZO7NfsO5e0blu7toeSFOAAsIpQhFeQZVnKZrMLVre9Xq8sy3ImKAB158aln2rsxKOavZ7T+m1+bT/wgpru2up0WACAGnJVO4plWYpEIjIMQ/39/UVfl0wmlUgk1NbWViiOe3t7V/z9DcPQ+Pj4gsez2aza29tXfH64k82Y8FXlRu4Vnc+vgN/v07bH/0xr1pe2sQMAwD1cUYRHIhFls1n5/X4lk0kFAsV3lovH4zp69KiGh4cLjyWTSQWDQSUSiYrHFovFZJqmuru7K35uAI3lRu5nGovv0+y1i1p33wfVeuB5NW0wnA4LAOAAVxThc1e9jx49WvR1lmXp8OHDOnv27LzHA4GAIpGIYrFYRYvl/Mr86Ohoxc4J9/KI3Xrc7Kb1qsaO79PMtTGtu/c31HrgBTVt8DodFgDAIa4owkt17NgxmaZZmFwyV1dXl6LRaKEITyaT826mXMrcVfW5Dh8+rNOnTy8YTwhgdbk5kdX5+Ec1c/VNrd2661YBTg84AKxqq6oIHx4elte7+MqTaZpKp9OyLEuGYSgQCCzZ1nIn+VGFTEABVrebE+duFeBX3tDaLb+u7QdOqmnjfU6HBQBw2KqajjIyMlJ0VTr/eCXmdsfjcQWDwXkFeCwWW/F5ATSW6cmfa+z4RzVz+edau+VBtYZOqenubU6HBQCoA6uqCM+vci9lpUV4MplUKpWS1+tVOp1WOp1WPB4vGg8Ad5q+/IbOH9+n6clzajbep9aDp9R893anwwIA1IlV1Y6ylHxxPnejnXJZlqXOzk5ZllXYuj5v7uSVbDareDxeeKyzs1N+v1/d3d13/CNhcnJy3tfr16/X+vXrlx0zgMqbvvKmzh//qKYnMmrevFPbD55U8z0POB0WAKDCpqamNDU1Vfj69jptKRThFVRsTvjtTNNUb2/vsmaT79ixY97XX/7yl/XUU0+VfR4A1TF9dUxjxz+qaetVNW96r1pDp9S8acedDwQANJwjR47oK1/5yrKOpQj/pXxrSLEbN+vF66+/rs2bNxe+ZhW88bFXj3vMXLuoseP7dHP879S0aYdaQ6e0dvN7nQ4LAFAlfX19+sIXvlD4enJycsGCaTGrqifcDTo6OvTII4/o6aef1ubNmynCXcTDmPCGNvPOJZ0/vk83c6+o6Z4HtP3gKa1t2el0WACAKlq/fr02b96sp59+Wo888og6OjpKPnZVrYSbpln0xst8L3i9z/ROpVLzVsIBOG/mek5jx/fr5tt/o6a7t98qwI02p8MCANRIT0+Penp6NDk5qZaWlpKOWVUr4T6fr+hEknxxzlxvAOWYuT6usROP6sall9W0cZtaD57U2i0POh0WAKDOraoiPBgMFl0Jz2QyK9qcp1b8fr927dqlwcFBp0MBVr2Z65bGnvmYblx8SWvuuk+tB09qnff9TocFAKixwcFB7dq1S36/v+RjVlURfujQIeVyuUUL8Xg8rnA47EBU5UmlUjpz5ox6enqcDgVY1WanJnXh2U/oxoVRrdmwVdsPntS6rbucDgsA4ICenh6dOXNGqVSq5GNcV4RbllV01rdhGBoaGlIkEpn3eDwel2maCoVCtQgRQIObvXFZY89+UlNjf6U1G7xqPfiC1t37kNNhAQAaiCtuzBwYGFAqlVI2my38CwaDMgxDXV1d84rrUCgkwzAUiUTU1tZW6BGfu5kOABQze/Oqxp57TFPn/0Jr1htqPfADrb/vg06HBQBoMK4owsvd9CYQCDRE//di/H6/mpqaCnfhAqid2ZvXdOG5T2nqF/9HnnWb1fr481p//26nwwIAOGxwcFCDg4OamZkp+RiPbdvsFdIA8iNvJiYmGFHoMq1PndTFKzf0ky9+WL+xndzWq9npd3Thucd1/fUX5Vm3Sa2PP68N23/L6bAAAHWknHrNdT3hQKNir576NTt9XRe/13mrAF97j1o/9X0KcADAilCEA8AS7OkpXfx+l9557ZQ8zRvV+qnvasO7/r7TYQEAGhxFeINhTjhQO/bMDV18/vf1zrkfyNN8l7Y99pw2PPDbTocFAKgzy5kTTk94g6An3L3yPeEvf/HDeoie8Lphz9zUxec/rWuZ5+Rp2qBtjz2ru96z1+mwAAB1jJ5wAFihS8l/9ssCfL3u/73jFOAAgIqiCAeA28xOX9eVV56WJN3/8f+pje8NOhwRAMBtKMIbDD3hQA3Yv5rzumHH7zoYCACgESynJ9wVm/WsJqlUip5wAACAOpLfRDHfE14KVsIBh3FrNAAAqw9FOFAnPB626wEAYLWgCAcAAABqjCIcAAAAqDGK8AbDdBQAAID6wnSUVYDpKECt0asPAFga01EAAACABkARDgC3Y24kAKDKKMIBAACAGqMIBxzGmisAAKsPRThQJ7j9DwCA1YMivMEwohAAAKC+MKJwFWBEIVBjHj6jAAAsjRGFQIOYmprSU089pampKadDQQWRV/cit+5EXt2pUfLqsW1mcTWC/F9WExMTrIS7wNx8vu/rf6FLV2/op1/6iHa1bnI6NEiavXFFr/1XryTpvZ+f0Jrmu0o6juvUvcitO5FXd3Iyr+V8b1bCUbZK96Ov5HzlHlvK6+/0mqWeL/ZcI/TwVyPG5Z6TvFZOPeW13GPJa3Fuz2spryO31T8f78VVZqMhTExM2JLsiYkJp0OxP/CBD9TN+co9tpTX3+k1Sz1f7LnbH5+bz/v+7Qu254vftf/m/OQdY6umSud1Jed0Oq8zU5ft7DfW2tlvrLVnbl5bVl7rRT3ltdxj6+V6te36y63b81rK6yr9Xlwv+B3b2Hkt53tzY2aDsH/ZNTQ5OelwJNLMzExF41jJ+co9tpTX3+k1Sz1f7LnbH8//f3JyUrNTV2VP3dSVy5Oa3Ohcd1il87qSczqd19kbV3T5+q+uueXktV7UU17LPbZerlep/nLr9ryW8rpKvxfXC37HNnZe89/TLqHbm57wBvHGG29ox44dTocBAACAO3j99df17ne/e8nXUIQ3iNnZWb355pvatGmTPIxMAwAAqDu2bevy5ct617vepTVrlr71kiIcaDCWZSmZTCoSiSiTyTgdDsoQi8UK/89kMurr65NhGM4FhIrgmnSngYEBSbeu1Ww2q2g0KtM0HY4KlZB/L7YsS6lUSuFwWIFAoOZx0BMONJB0Oq2RkRF5vV5ls1mnw0EZ4vG4EomEhoeHJd168+/o6NDo6KjDkWEluCbdKRKJzPsjOR6Pq62tTZlMhkK8wYXDYXV2dhaK7mQyqWAwqPHx8ZovijCiEGggPp9P3d3d8vl8ToeCMh05ckR9fX2Frw3DkNfrVTKZdDAqrBTXpDslk0nlcrnC16FQSIZhKBqNOhgVKiGXyxUWQyQV/qgaGRmpeSyshANAlVmWpXQ6vWAFzTRNDQ8PO/IxKIDFWZalbDarbDY775r1er2yLMu5wFARcwtw6danWZK0Z8+emsdCEQ6UyLIsRSIRGYah/v7+oq9LJpNKJBJqa2srvGH39vbWKEpUUqVynm9TuP2jTsMwCr8AUDtcy+5UqbwahqHx8fEFx2WzWbW3t1c8btxZNa/ZaDSq/v5+R+7PoQgH7iASiSibzcrv9yuZTC65ahmPx3X06NF5f2nn+80SiUQtwkUFVDrncz/Wvt1Sz6GyuJbdqRZ5jcViMk1T3d3dFY0dS6tmbmOxmBKJhILBoHN/XFdvzyDAfXw+n93d3b3oc+Pj47ZhGPb4+Piix0Wj0YrFkclkbC7f2qhEzhOJhC1pwet6e3ttn89X6ZBRgkpfy1yT9aEa79H54zKZTCVDRZmqldvu7m67t7e3kqGWjJVwoEKOHTsm0zQX/Uirq6tL0Wi0sIqSTCZLvsHn9v411I9Sc+71ehc93rKsos/BOeVcy2gcy83r4cOHdfr0aaai1LHl5jZ/s63H49HWrVtrviJOEQ5UyPDwcNGCyjRNpdNpWZYlwzAUCAS4Gc8FSs15/pd3Lpeb90sil8sxVaMOlXMto3EsJ6/5UYVcp/WtnNyGw2FFIpF5f1SZpqlEIlHzIpwRhUCFjIyMFF0pyT/OHGF3KTXnhmHI5/MtyH82m1UwGKx6nCgP17I7lZvXeDyuYDA4rwCfu+EW6kepuU2n04rFYguu39sXSGqFIhyokFJWxir1i5sxWfWhnJz39fXNay3K55BPROrPcq5lrsn6V05ek8mkUqmUvF6v0um00um04vF4DaLEcpSaW5/Pp97e3nnvu8lkUpZlLTl1pVpoRwFqIP/msNJJGNlstrDzoiR1dnbK7/eru7ubj8brzO05D4VCyuVyisVi8nq9SqVSOn36tIMRYjluzyvXpDvMzatlWers7JRlWYWt6/OYjNN4br9m+/r65uU1lUppdHTUkZ5/inCggZimqd7eXmYVN6i5NwaFQiEHI0GlcE26T7E54XAHwzDq5nqlHQWogfxH1UzCWD3IuTuRV3cir+5Vz7mlCAcAAABqjCIcqBDTNIveeJnvRWPOrLuQc3cir+5EXt2rUXNLEQ5UiM/nKzohIf/mwKxZdyHn7kRe3Ym8ulej5pYiHKiQYDBY9C/xTCbDKDoXIufuRF7diby6V6PmliIcqJBDhw4pl8st+kYQj8cVDocdiArVRM7diby6E3l1r0bNLUU4UAbLsorO+jYMQ0NDQ4pEIvMej8fjMk2TkXQNipy7E3l1J/LqXm7Mrce2bdvpIIB6NjAwoFQqVdjyVrq1y6FhGOrq6lpwcSeTSSUSCbW1tRV61OplJilKQ87diby6E3l1L7fnliIcAAAAqDHaUQAAAIAaowgHAAAAaowiHAAAAKgxinAAAACgxijCAQAAgBqjCAcAAABqjCIcAAAAqDGKcAAAAKDGKMIBAGUbGBiQx+Mp/Gtvb3c6pBWJRCLzfp5gMOh0SABcjiIcALAsgUBAmUxGmUxGw8PDToezIn19fYWfpZ63uQbgHhThAIBlMQxDpmkW/pUinU4rGAyqvb1dW7ZsUTgcrnKUpZn7s7S1tTkdDoBVgCIcAFAzpmkqEonINE1ZlqVcLud0SADgCIpwAFgl0um04yvPhmEoEAhoaGjI0TgAwGkU4QCwSnR2dioWiymdTjsdigzDcDoEAHAURTgArAKWZSmbzUqSfD6fw9EAACjCAWAVSCaTkijAAaBeUIQDwCqQSCQk3RorCABwHkU4AKwC+ZVwNqEBgPpAEQ4ALje3H5yVcACoD81OBwAAqKxsNqv29nZZlrXgOY/HU/h/b2+v+vv7qxpLJBJROp0ubILz9ttvKxwOl7y5TzweVyqVkqTCXPG+vr4Fve3hcFjHjh1bcPzZs2cXTGJpb29XOp2WYRiyLEuhUKjhd/wE0HgowgHAZUzT1Pj4eOHrcDisWCxWk6I7L5lMKhwOKxKJLPiekUikpF0pI5GIgsHgvOPT6bQ6Ojp06NAhRaPRwuPRaFTRaLTwsy5VWI+Ojhb+SDl9+jQ3qwJwBO0oAOByte4Hz29NH4lE1N3dveD5/v5+jY6OLnmOeDwuv9+/oH3G5/NpaGhIsVhMsVhs0XNLWvRTgLn27Nmj4eFhCnAAjqEIBwAXc6IfvLOzU6ZpLlqA50UikSXPkUgkdPjw4cIfEHOFQiFJmrcSnmcYhkKhkJLJZOHnLoYCHICTKMIBwMXyfdK1KsAHBgaUzWYLhXIxXq93yedzuZwsyyq6u6dpmkWL7HA4LGnxIl26tcre2dm55PcHgGqjCAcAF8vPB69VK0r++/n9/hWdZ2hoSMPDw+rt7V30+fxNlYsJBAIyTXPRdhVJOnr0KFNiADiOGzMBwMXy7Ry1Kjrzq9O3TyQpV76tJH/O/JSU/FSVO7Wa5G8Kjcfj81bls9nsiv9AAIBKYCUcAFwqm80WVosbsf85Ho+rra1N4XBYPp9Pw8PD6u/vV39//x1HHOb70Y8cOTLv8Wg0umSvOgDUCkU4ALhUPB6XVNsNevLF8Z2mk9xJOBxWZ2enwuGwEolE2T9DfiU9nU7P6yu3LGvFq/QAUAkU4QDgUvn+7MVuQqxWj3j+vHdqF1lKMplULBZTIBAo2hN+e5GfTqcXfM++vj5Jv7pBkxsyAdQTinAAcKmRkRFJC1fC4/F41Yrw3t5eGYaho0ePlhTbYvKb7CxVMN9ecM9tvcnz+XzzbtDkhkwA9YQiHABcKl+Uzu2ftixL0Wi06ApzJQwPDyudTi864zuv2PhASYXdNIu1tMTj8QU97rlcbtE2k/w88nA4zA2ZAOoKRTgAuFR+Kki+mM1mszp8+HDR7dwrJRAIaHh4WOFweNFCPBwOq6urS9Kt1pN0Oj2v4O7u7pZhGDpy5MiCFe/8Jjz5VpN83/vo6OiiN2vmb8KMxWLckAmgrjCiEABcKl8Id3Z2yjAMeb1eDQ0N1eTGxFAoJJ/Pp0gkomg0KtM0tXXrVkm/2lo+L7/DZr6H3TAMnT17VkeOHFFnZ6f27NlTiNnv9xdW8aPRqI4cOaKjR48uOOdc3d3dRVfKAcApFOEA4GJLtX1Um2maS66627Zd9DnDMJYsrKVbxXUpq9vt7e3as2fPHV8HALVEOwoAwNVGR0cbck46AHejCAcAuFY2m1V7e7vTYQDAAhThAABXWOwm0P7+fh06dMiBaABgaRThAICGF4lEFAwGNTAwUHgsvwrODZkA6hE3ZgIAGp7f75dpmvPGMkYikaqPYwSA5aIIBwA0vFAopGw2O28azNDQkIMRAcDSKMIBAMsSj8fl8Xgk3doifnR01NF4VrILaCQSmdfKwvb2AKrNYy81qBUAgEVYlqVcLjfvscV2rGwUbvt5ANQ/inAAAACgxpiOAgAAANQYRTgAAABQYxThAAAAQI1RhAMAAAA1RhEOAAAA1BhFOAAAAFBjFOEAAABAjVGEAwAAADVGEQ4AAADU2P8H0GmmvexEe/8AAAAASUVORK5CYII=", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#try bumping up the velcity dispersion of the PBH to 220 km/s\n", + "\n", + "plt.loglog(t_es/24, pbh_tes_finite, label=\"PBH 220 km/s\", linestyle=\"-\")\n", + "plt.loglog(t_es/24, pbh_tes_finite_30, label=\"PBH 30 km/s\", linestyle=\"-\")\n", + "\n", + "\n", + "plt.xlim(s.cadence/24, s.obs_time/24)\n", + "# plt.ylim(1e-16, 1e-6)\n", + "plt.xlabel(r\"$t$ [day]\")\n", + "plt.ylabel(r\"$d\\Gamma/dt$ [events/star/hr/hr]\")\n", + "plt.title(\"m = {}\".format(s.pbh.mass))\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "attachments": { + "image.png": { + "image/png": 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" + } + }, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "![image.png](attachment:image.png)" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "254.66329743747602\n" + ] + } + ], + "source": [ + "t_e_typical = 4.1 * (1e7)**(1/2) * (8)**(1/2) * (300/50)**(-1) / 24\n", + "print(t_e_typical)" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "\n", + " 0%| | 0/30 [00:00" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.loglog(t_es_limited/24, gammas_pbh, label=\"PBH, 220km/s\", linestyle=\"-\")\n", + "plt.loglog(t_es_limited/24, gammas_pbh_30, label=\"PBH, 30km/s\", linestyle=\"-\")\n", + "\n", + "\n", + "plt.xlim(s.cadence/24, s.obs_time/24)\n", + "plt.ylim(1e-16, 1e-6)\n", + "plt.xlabel(r\"$t$ [day]\")\n", + "plt.ylabel(r\"$d\\Gamma(t)$ [events/star/hr]\")\n", + "plt.title(\"m = {}\".format(s.pbh.mass))\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "num_samples_pbh = 1000\n", + "\n", + "samples_pbh = sample_crossing_times(t_es_limited, gammas_pbh, num_samples_pbh)\n", + "\n", + "num_bins = 20\n", + "bin_counts_pbh, bin_edges_pbh = np.histogram(samples_pbh/24, bins=np.logspace(1, 4, num_bins))\n", + "\n", + "# Plotting the histogram\n", + "plt.bar(bin_edges_pbh[:-1], bin_counts_pbh, width=np.diff(bin_edges_pbh), align=\"edge\", edgecolor=\"black\", label=\"PBH\", alpha=0.5)\n", + "plt.axvline(s.obs_time/24, color=\"black\", linestyle=\"--\", label=\"Observation Time\")\n", + "plt.axvline(t_e_typical, color=\"red\", linestyle=\"--\", label=\"Typical t_e\")\n", + "\n", + "plt.xscale('log')\n", + "plt.xlabel(\"$t_E$ [day]\")\n", + "plt.ylabel(\"Count\")\n", + "plt.title(r\"$M_{\\rm{PBH}} = $\" + scientific_format(s.pbh.mass))\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "base", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.7" + }, + "orig_nbformat": 4 + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/nbs/00_pbh.ipynb b/nbs/00_pbh.ipynb index 26b6fdf..a96093d 100644 --- a/nbs/00_pbh.ipynb +++ b/nbs/00_pbh.ipynb @@ -31,7 +31,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ @@ -59,18 +59,9 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 3, "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "The autoreload extension is already loaded. To reload it, use:\n", - " %reload_ext autoreload\n" - ] - } - ], + "outputs": [], "source": [ "%load_ext autoreload\n", "%autoreload 2" @@ -78,7 +69,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 33, "metadata": {}, "outputs": [], "source": [ @@ -110,8 +101,6 @@ " self.l = l\n", " self.b = b\n", "\n", - " if mass < m_low_interp or mass > m_high_interp:\n", - " raise ValueError(\"PBH mass must be between 1e-16 and 1e-4 or a different interpolation function must be used for u_t\")\n", " self.mass = mass\n", " if f_dm < 0 or f_dm > 1:\n", " raise ValueError(\"f_dm must be between 0 and 1\")\n", @@ -125,11 +114,25 @@ " return f\"PBH population with mass={self.mass} and f_dm={self.f_dm}\"\n", " __repr__ = __str__\n", "\n", + " def differential_rate_integrand(self, umin, d, t, model, finite=False, v_disp=None):\n", + " r = model.dist_center(d, self.l, self.b)\n", + " ut = self.umin_upper_bound(d) if finite else self.u_t\n", + " if ut <= umin:\n", + " return 0\n", + " v_rad = velocity_radial(d, self.mass, umin, t * htosec, ut) \n", + " if v_disp is None: \n", + " v_disp = model.velocity_dispersion_dm(r)\n", + " return 2 * (1 / (ut**2 - umin**2)**0.5 *\n", + " model.density_dm(d, self.l, self.b) / (self.mass * v_disp**2) * \n", + " v_rad**4 * (htosec / kpctokm)**2 *\n", + " np.exp(-(v_rad**2 / v_disp**2)) *\n", + " 1)\n", + "\n", " def differential_rate_integrand_mw(self, umin, d, t, finite=False):\n", - " return self.differential_rate_integrand(umin, d, t, dist_mw, density_mw, velocity_dispersion_mw, finite=finite)\n", + " return self.differential_rate_integrand(umin, d, t, self.mw_model, finite=finite)\n", " \n", " def differential_rate_integrand_m31(self, umin, d, t, finite=False):\n", - " return self.differential_rate_integrand(umin, d, t, dist_m31, density_m31, velocity_dispersion_m31, finite=finite)\n", + " return self.differential_rate_integrand(umin, d, t, self.m31_model, finite=finite)\n", " \n", " def differential_rate(self, t, integrand_func, finite=False):\n", " if finite:\n", @@ -203,18 +206,28 @@ " def rate_tot(self, finite=False):\n", " return self.rate_mw(finite=finite) + self.rate_m31(finite=finite)\n", "\n", - " def differential_rate_mw(self, t, finite=False):\n", - " return self.differential_rate(t, self.differential_rate_integrand_mw, finite=finite)\n", + " # def differential_rate_mw(self, t, finite=False):\n", + " # return self.differential_rate(t, self.differential_rate_integrand_mw, finite=finite)\n", + " \n", + " def differential_rate_mw(self, t, finite=True, v_disp=None):\n", + " def integrand_func(umin, d, t):\n", + " return self.differential_rate_integrand(umin, d, t, self.mw_model, finite=finite, v_disp=v_disp)\n", + " return self.differential_rate(t, integrand_func, finite=finite)\n", "\n", - " def differential_rate_m31(self, t, finite=False):\n", - " return self.differential_rate(t, self.differential_rate_integrand_m31, finite=finite)\n", + " # def differential_rate_m31(self, t, finite=False):\n", + " # return self.differential_rate(t, self.differential_rate_integrand_m31, finite=finite)\n", + " \n", + " def differential_rate_m31(self, t, finite=True, v_disp=None):\n", + " def integrand_func(umin, d, t):\n", + " return self.differential_rate_integrand(umin, d, t, self.m31_model, finite=finite, v_disp=v_disp)\n", + " return self.differential_rate(t, integrand_func, finite=finite)\n", "\n", " def umin_upper_bound(self, d):\n", " # return self.ut_interp(d, self.mass)[0]\n", " rho = rho_func(self.mass, d, self.ds)\n", " return self.ut_interp(rho, magnification(self.u_t))\n", " \n", - " def differential_rate_total(self, t, finite=False):\n", + " def differential_rate_total(self, t, finite=True):\n", " return self.differential_rate_mw(t, finite=finite) + self.differential_rate_m31(t, finite=finite)\n", " \n", " def compute_differential_rate(self, ts, finite=False):\n", @@ -231,7 +244,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 34, "metadata": {}, "outputs": [], "source": [ @@ -242,7 +255,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 35, "metadata": {}, "outputs": [], "source": [ @@ -264,12 +277,12 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 36, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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IJbU0YWlzVx1euXKl0WPVveqq/lWHQuivmoqOjhZyuVwAEM8//7zxtbS0NDF16lQRHBws5HK56Ny5s7j55pvFe++91+z7+Oijj0R8fLwICQkRCoVChIWFialTp4o//vjD2Kb+1V/NXXFZ/0fSL7/8Iu644w6hUqmEXC4X4eHh4o477hBfffVVs/2qe9Vhc+pfdVhZWSkeffRR0bdvX6FUKoWbm5uIiIgQDzzwgPFKu7pmzZrV5Pswd3LYM2fOiDlz5oiePXsKd3d34enpKfr16ycWLlzY4Eo6c74elnxOUlNTxahRo4SXl5cAYHLV5JUrV8Tjjz8uoqKihFwuFyqVSgwdOlQ888wzoqysTAhh/tfZ4Pz58+LZZ58Vo0aNEp07dxZubm7Cx8dHDB8+XLz77rtCo9GYtD969KiYOHGi8PPzEwqFQsTExDT6dT116pQYN26c8PX1FZ06dRJ///vfxY8//tjoVYf9+/dvtG9Xr14VTzzxhIiMjBRyuVwEBweLO+64Q5w4ccLYpqamRvz73/8WMTExwsPDQyiVShEdHS3++te/itOnT5v1NSDXwyV4iIiIiGyE0zsQERER2QgDLSv64YcfjMXFH3zwgb27Q0RERHbGoUMr0Wg06NevH3bu3AlfX18MGTIEBw4cgEqlsnfXiIiIyE6Y0bKS33//Hf3790d4eDh8fHwwYcIEbN261d7dIiIiIjty+EDr1VdfRVxcHHx8fBAcHIwpU6Y0uyRIa+zevRsTJ05EWFgYJBIJNm/e3Gi7VatWISoqCh4eHhg6dCj27NljfO3ixYsIDw83Po+IiEBOTo5V+0lEREQdi8MHWr/88gvmzp2L3377DcnJydBoNBg3blyT65zt3bsXNTU1DbafOHECly5danQftVqNmJgYrFixosl+bNy4EfPnz8czzzyDlJQUjB49GuPHj0d2djYA/eSC9bV1tmQiIiLq2DpcjdaVK1cQHByMX375BTfeeKPJazqdDkOGDEGvXr2wYcMGyGQyAMCpU6cwZswYLFiwAIsXL272+BKJBJs2bcKUKVNMtg8fPhxDhgwxmRSwb9++mDJlCl599VXs27cPb7zxBjZt2gQAeOKJJzB8+HDMnDmz2fPpdDpcvHgRPj4+DMyIiIg6CCEESktLERYWBqm0mbyV/abwap3Tp08LAOLo0aONvp6TkyN69OghZs6cKbRarcjIyBDh4eHiL3/5i1nHByA2bdpksq2qqkrIZDLxzTffmGx//PHHxY033iiE0E9k17NnT3HhwgVRUlIievbsKfLz85s8z4oVK0Tfvn1Fjx49mp28kTfeeOONN954c9zb+fPnm40rOtQSPEIILFy4EDfccAMGDBjQaJuwsDDs2LEDN954I2bOnIn9+/dj7NixeO+991p93vz8fGi12gaLtoaEhBiHI93c3PDmm28iPj4eOp0OixcvRmBgYJPHnDt3LubOnYvi4mL4+/vj/Pnz8PX1bXUfiYiIqP2UlJSgS5cuLS4o3qECrXnz5uGPP/5ocQ2ryMhIfPzxxxgzZgy6d++OtWvXWmVYrv4xhBAm2yZNmoRJkya16pi+vr4MtIiIiDqYluILhy+GN/j73/+O7777Djt37mxxMdPLly/jL3/5CyZOnIjy8nIsWLCgTecOCgqCTCZrUEyfl5fXIMtFREREZODwgZYQAvPmzcM333yDHTt2ICoqqtn2+fn5GDt2LPr27Wvc58svv8STTz7Z6j4oFAoMHToUycnJJtsNq9sTERERNcbhhw7nzp2Lzz//HN9++y18fHyMWSU/Pz94enqatNXpdLj99tvRtWtXbNy4EW5ubujbty+2bduG+Ph4hIeHN5rdKisrQ0ZGhvF5ZmYmUlNToVKpEBkZCQBYuHAhEhISEBsbixEjRmDNmjXIzs5GYmKiDd+9nlarbXTKCiJrUSgUzV81Q0REreLw0zs0Nfa5bt06PPTQQw22JycnY/To0fDw8DDZnpqaisDAQHTp0qXBPrt27UJ8fHyD7bNmzcL69euNz1etWoXXX38dubm5GDBgAP7zn/80mGLCUiUlJfDz80NxcXGDGi0hBC5duoSioqI2nYOoJVKpFFFRUVAoFPbuChFRh9Dc7++6HD7QcnbNfaNyc3NRVFSE4OBgeHl5cZ4tsgnDXG5yuRyRkZH8nBERmcHcQMvhhw5dlVarNQZZzU0TQWQNnTp1wsWLF6HRaCCXy+3dHSIip8GiDAdlqMny8vKyc0/IFRiGDLVarZ17QkTkXBhoOTgO41B74OeMiMg2GGgRERER2QgDLSIiIiIbYaBFREREZCMMtMip7N69GxMnTkRYWBgkEgk2b95s1n6rVq1CVFQUPDw8MHToUOzZs6dVbdqDOe/RUfpKROTqGGiRU1Gr1YiJicGKFSvM3mfjxo2YP38+nnnmGaSkpGD06NEYP348srOzLWrTXlp6j47UVyIilyfIroqLiwUAUVxcbLK9oqJCpKeni4qKCuM2nU4n1FU1drnpdDqL3ldmZqYAIL7++msxevRo4eHhIYYMGSIyMzPFzp07RVxcnPD09BQ33XSTKCgosMrXsj4AYtOmTS22GzZsmEhMTDTZFh0dLZYsWWJRGyGEyM7OFjNnzhT+/v7C399fzJgxQxQWFrb+TbSgsfdobl/rauzzRkRETWvq93d9nLC0A6mo0aLfc1vtcu70pbfBS2H+xyU1NRWAfghr2bJlUCqVmDJlChISEqBUKrFy5UoIITBhwgSsXbsWixYtMtl/2bJlWLZsWbPn2LJlC0aPHm3xe6mruroahw8fxpIlS0y2jxs3Dvv27TO7DQBkZGRg5MiRSExMxP79+6FWqzFnzhwsWrQIH3zwQZv6aS5z+0pERO2DgRbZRFpaGgICArBhwwYEBQUBAOLj47Fjxw6kp6fD29sbABAXF2dcKLyuxMRETJ06tdlzhIeHt7mf+fn50Gq1CAkJMdkeEhJi7Jc5bQx9/tvf/oYXX3zRuG3x4sUNgkhbMrevRETUPhhodSCechnSl95mt3NbIjU1FZMmTTIGWQCQnZ2NGTNmGIMsw7Y77rijwf4qlQoqlar1HbZQ/Qk7hRANtjXX5ty5c9i+fTv27duHN99809hGq9U2upD5Cy+8YBKQNebgwYOIjY216H2Y01ciImo/DLQ6EIlEYtHwnT2lpaVh8eLFJttSU1Mxb9484/PKykqcOnUKgwYNarB/ew0dBgUFQSaTNcj25OXlGbNC5rRJS0uDSqXCgQMHGpzD09OzwbZ58+Zh+vTpzfatW7dulrwVs/tKRETtp2P81qYOpaSkBFlZWRg8eLBx27lz51BYWGiy7fjx49BqtYiJiWlwjPYaOlQoFBg6dCiSk5Nx1113GbcnJydj8uTJZreRy+UoLS1FaGioScauKUFBQSbZPmsxp69ERNR+GGiR1aWlpUEqlWLgwIHGbampqfD39zfJ0qSlpaF79+7w8fFpcIzWDh2WlZUhIyPD+DwzMxOpqalQqVSIjIwEAKxYsQKbNm3C9u3bAQALFy5EQkICYmNjMWLECKxZswbZ2dlITEw0HqelNsOHD4evry8SEhLw3HPPQalUIiMjA1u2bMHbb79t8ftoy3s05/0QEVH7YKBFVpeWlobo6GiTIbOUlJQGmau0tLRGhw3b4tChQ4iPjzc+X7hwIQBg1qxZWL9+PQB9wfiZM2eMbaZNm4aCggIsXboUubm5GDBgAJKSktC1a1ez26hUKiQlJeGpp57CmDFjIIRAz549kZCQYNX3Z857NOf9EBFR+5AIIYS9O+HKSkpK4Ofnh+LiYvj6+hq3V1ZWIjMz0zi7N5Et8fNGRGSZpn5/18eZ4YmIiIhshIEWERERkY0w0CIiIiKyEQZaRERERDbCQIuIiIjIRhhoEREREdkIAy0iIiIiG2GgRURERGQjDLSIiIiIbISBFhEREZGNMNAip7J7925MnDgRYWFhkEgk2Lx5s1n7rVq1yrj8zNChQ7Fnz55WtWkvzfWltLQU8+fPR9euXeHp6YmRI0fi4MGDdusrEZErY6BFTkWtViMmJgYrVqwwe5+NGzdi/vz5eOaZZ5CSkoLRo0dj/PjxyM7OtqhNe2mpL48++iiSk5PxySef4OjRoxg3bhxuueUW5OTktHtfiYhcniC7Ki4uFgBEcXGxyfaKigqRnp4uKioqrm3U6YSoKrPPTaez6H1lZmYKAOLrr78Wo0ePFh4eHmLIkCEiMzNT7Ny5U8TFxQlPT09x0003iYKCAmt8KRsAIDZt2tRiu2HDhonExESTbdHR0WLJkiUWtRFCiOzsbDFz5kzh7+8v/P39xYwZM0RhYWHr34SF/S0vLxcymUz88MMPJq/HxMSIZ555psljNvp5IyKiJjX1+7s+N/uGeWSRmnJgWZh9zv1/FwGFt9nNU1NTAeiHuJYtWwalUokpU6YgISEBSqUSK1euhBACEyZMwNq1a7Fo0SKT/ZctW4Zly5Y1e44tW7Zg9OjRFr+Vuqqrq3H48GEsWbLEZPu4ceOwb98+s9sAQEZGBkaOHInExETs378farUac+bMwaJFi/DBBx+0qZ/m9lej0UCr1cLDw8PkdU9PT/z6669W6QMREZmPgRbZRFpaGgICArBhwwYEBQUBAOLj47Fjxw6kp6fD21sftMXFxeHSpUsN9k9MTMTUqVObPUd4eHib+5mfnw+tVouQkBCT7SEhIcZ+mdPG0Oe//e1vePHFF43bFi9e3CCItGV/fXx8MGLECLz00kvo27cvQkJC8MUXX+DAgQPo1auX1fpBRETmYaDVkci99Jkle53bAqmpqZg0aZIxyAKA7OxszJgxwxhkGbbdcccdDfZXqVRQqVSt76+FJBKJyXMhRINtzbU5d+4ctm/fjn379uHNN980ttFqtejSpUuD873wwgsmAVljDh48iNjYWIv7+8knn+Dhhx9GeHg4ZDIZhgwZgpkzZ+LIkSPNno+IiKyPgVZHIpFYNHxnT2lpaVi8eLHJttTUVMybN8/4vLKyEqdOncKgQYMa7N9eQ4dBQUGQyWQNsmp5eXnGrJE5bdLS0qBSqXDgwIEG5/D09Gywbd68eZg+fXqzfevWrVur+tujRw/88ssvUKvVKCkpQWhoKKZNm4aoqKhmz0dERNbHQIusrqSkBFlZWRg8eLBx27lz51BYWGiy7fjx49BqtYiJiWlwjPYaOlQoFBg6dCiSk5Nx1113GbcnJydj8uTJZreRy+UoLS1FaGioScauKUFBQSbZPmv218Db2xve3t64evUqtm7ditdff93i8xERUdsw0CKrS0tLg1QqxcCBA43bUlNT4e/vb5KlSUtLQ/fu3eHj49PgGK0dOiwrK0NGRobxeWZmJlJTU6FSqRAZGQkAWLFiBTZt2oTt27cDABYuXIiEhATExsZixIgRWLNmDbKzs5GYmGg8Tktthg8fDl9fXyQkJOC5556DUqlERkYGtmzZgrffftvi99GclvqydetWCCHQp08fZGRkYNGiRejTpw9mz55t1X4QEVHLGGiR1aWlpSE6OtpkyCwlJaVB5iotLa3RYcO2OHToEOLj443PFy5cCACYNWsW1q9fD0BfUH7mzBljm2nTpqGgoABLly5Fbm4uBgwYgKSkJHTt2tXsNiqVCklJSXjqqacwZswYCCHQs2dPJCQkWPX9mdOX4uJiPP3007hw4QJUKhXuuecevPLKK5DL5VbvCxERNU8ihBD27oQrKykpgZ+fH4qLi+Hr62vcXllZiczMTOPs30S2xM8bEZFlmvr9XR9nhiciIiKyEQZaRERERDbCQIuIiIjIRhhoEREREdkIAy0iIiIiG2GgRURERGQjDLSIiIiIbISBFhEREZGNMNAiIiIishEGWkREREQ2wkCLnMru3bsxceJEhIWFQSKRYPPmzWbtt2rVKuPyM0OHDsWePXta1aa9NNcXjUaDZ599FlFRUfD09ET37t2xdOlS6HQ6u/WXXFNljRbHcopxuaTS3l0hexECyD8NqPPt3ROLlVWXobiquM3H4aLS5FTUajViYmIwe/Zs3HPPPWbts3HjRsyfPx+rVq3CqFGj8P7772P8+PFIT09HZGSk2W3aS0t9+de//oX33nsPH330Efr3749Dhw5h9uzZ8PPzwxNPPNGufSXXUVmjxZ+5JTiWU4yjOcU4mlOC05dLodEJSCXAYzd2x4JbesNDLrN3V8nWhADy0oHjm4Hjm4CC04B3MPDYDsC/i717Z5ZKTSWm/zgdRVVFSLo7Cb6KptcybAkXlbYzSxaVFkKgQlNhl356unlCIpGY3T4rKwtRUVH4+uuvsXz5chw8eBD9+vXD119/jaysLCxevBjHjh3D8OHD8fXXX0OlUlm9zxKJBJs2bcKUKVOabTd8+HAMGTIEq1evNm7r27cvpkyZgldffdXsNgBw/vx5LFmyBElJSQCA8ePHY+XKlQgICLDa+2qpL3feeSdCQkKwdu1a4+v33HMPvLy88MknnzR6TC4qTa0hhMD/Dl/A2l8zcTqvDFpdw18n3goZ1NVaAECvYCXemjoI10X4tXdXqb1k7QV+WADkn2z4WufrgIe3Agrv9u+Xhb48+SVe+u0lAMAH4z7A8NDhDdqYu6g0M1odSIWmAsM/b/jNbg8HZh6Al9zL7PapqakA9ENcy5Ytg1KpxJQpU5CQkAClUomVK1dCCIEJEyZg7dq1WLRokcn+y5Ytw7Jly5o9x5YtWzB69GiL30td1dXVOHz4MJYsWWKyfdy4cdi3b5/ZbQAgIyMDI0eORGJiIvbv3w+1Wo05c+Zg0aJF+OCDD9rUT0v6e8MNN+C9997DqVOn0Lt3b6SlpeHXX3/F8uXLrdIHIgAoqazBM5uO4fu0i8Ztgd4KDAj3w3Xhfvr7CD+E+XkgOf0y/m/TUZzOK8OUVXsxL74n5t3cE3IZq1ecSv5p4IsZQFUxIFMAPW8B+t8FhAwAPpoIXDoKbJ4D3LcesOAPd3vYcX6H8XFGUUaDQOtQUib2fvenWcdioEU2kZaWhoCAAGzYsAFBQUEAgPj4eOzYsQPp6enw9tb/RRMXF4dLly412D8xMRFTp05t9hzh4eFt7md+fj60Wi1CQkJMtoeEhBj7ZU4bQ5//9re/4cUXXzRuW7x4cYMg0tb9feqpp1BcXIzo6GjIZDJotVq88sormDFjhtX6Qa4t9XwR/v7FEZwvrIBMKsH8sb1wb2wEOvt6NJr5Hte/M2K7qfDPzcfw49FcvL39NLb9eRlvTR2EPp197PAOyOoqioAvpuuDrC7Dgfu/AjzqZC6nfQJ8NAlI3wzs+Tdwo/V+LlqbTuhw+NJh4/OzRWcbtNHU6FBTm6ltCQOtDsTTzRMHZh6w27ktkZqaikmTJhmDLADIzs7GjBkzjEGWYdsdd9zRYH+VSmWT4cSm1P/lIIRosK25NufOncP27duxb98+vPnmm8Y2Wq0WXbo0rEl44YUXTAKyxhw8eBCxsbEW93fjxo349NNP8fnnn6N///5ITU3F/PnzERYWhlmzZjV7TqLm6HQC/91zFm9sPQmNTiDc3xPvzBiMoV1bHhpXeSuw8v4huD3tIv757TEcv1iCie/+isW398EjN0RZVJpADkanBb5+BCjIAHwjgGmfmgZZANB1JHDHv4HvnwB2vAKEDdZnvBxQrjoXldprF3AUVhY2bGRB0RUDrQ5EIpFYNHxnT2lpaVi8eLHJttTUVMybN8/4vLKyEqdOncKgQYMa7N9eQ4dBQUGQyWQNsmp5eXnGrJE5bdLS0qBSqXDgQMNA2NOzYZA6b948TJ8+vdm+devWrVX9XbRoEZYsWWI8/nXXXYdz587h1VdfZaBFrXaltAr/+CoNu09dAQDccV0olt19Hfw85RYdZ2JMGIZHqbDkm6PYcSIPL//4J0J8PTAxJswW3ab2sO0FIGMb4OYJTP8MUAY33m7oQ8DFFODweuD7+cD8ow45hJhVnGXyvLi64ZWHlhS3M9AiqyspKUFWVhYGDx5s3Hbu3DkUFhaabDt+/Di0Wi1iYmIaHKO9hg4VCgWGDh2K5ORk3HXXXcbtycnJmDx5stlt5HI5SktLERoaapKxa0pQUJBJts+a/S0vL4dUalr7IpPJOL0Dtdqe01ewYGMa8suq4O4mxfMT+2PGsC6tzkIF+3pg7axYLEv6E//dk4l3d5zGHdeFQip1vF+61IK0jcC+d/SPp6wEwgY13/62V4HUz4Hi80DhWSCwh827aKmskiwA+pGcCk0FSqpKGjZiRovsKS0tDVKpFAMHDjRuS01Nhb+/v0mWJi0tDd27d4ePT8MajdYOHZaVlSEjI8P4PDMzE6mpqVCpVMZpGFasWIFNmzZh+/btAICFCxciISEBsbGxGDFiBNasWYPs7GwkJiYaj9NSm+HDh8PX1xcJCQl47rnnoFQqkZGRgS1btuDtt9+2+H00p6W+TJw4Ea+88goiIyPRv39/pKSk4K233sLDDz9s1X6Qa/jw10ws/SEdANAnxAfvzhyM3iFtr6uSSCSYd3MvbPj9PE5dLsP2E3m4tV9IyzuS47iYAnz3d/3jGxYCA8yYUkfhBYQNAc7/BmTvd8hAK7M4EwAwMGggDlw60HhGy4IJGxhokdWlpaUhOjraZMgsJSWlQeYqLS2t0WHDtjh06BDi4+ONzxcuXAgAmDVrFtavXw9AX1B+5swZY5tp06ahoKAAS5cuRW5uLgYMGICkpCR07drV7DYqlQpJSUl46qmnMGbMGAgh0LNnTyQkJFj1/ZnTl3fffRf//Oc/MWfOHOTl5SEsLAx//etf8dxzz1m9L+TcNqVcMAZZM4dH4rk7+1l1Hiw/TzlmXh+J9385i/X7MhlodSQ6nX74T1sF9L4duPmf5u/bdYQ+0Dq3Hxj8gM262FqGjFZMcIw+0Gps0lILMlqcR8vOLJlHi8hW+Hmj+nadzMOjHx2CRifwyA1RePaOvjYpWL9wtRw3vr4TOgH8vOBGq2TLqB2kfgFsTgQUPsDjKYCyk/n7nvoZ+Pw+QNVdv6+DueWrW3C5/DJWjl2JudvnAgCOPHAEctm1esS9X2dg/49/YtG6SS3Oo8VJTIiIyETa+SLM+ewINDqByYPC8MwE2wRZABAR4IVx/ToDANbvy7LJOcjKqsuB7Uv1j2980rIgCwC6DAMg0ddolV62evfaokZbg7zyPABAX1VfSKD/3NcfPrQkR8VAi4iIjM5eKcPs9QdRXq3F6F5BeOPeGJsXqT80qhsA4JsjF1BcXmPTc5EV7F8JlF4E/CKB4Yktt6/P0x8I6a9/nL3fql1rqysVVyAgIJfKEegZaJzaqKKm3qosFowFMtAiIiIAQF5JJR788HcUqqsxMMIPqx8YCoWb7X9NDI9SIbqzDyprdNh4KNvm56M2KL0M/Pof/eNbngfkrSw1iLxef3/hoHX6ZSWXy/UZtmCvYEglUihkCgBAlbbKtCEDLSIiskRJZQ0e/PB3XLhagW6BXvjwoTgo3dvneimJRILZtVmtj/ada3TNRHIQu5YBNWogfKh5Vxk2Jbx2MuYLh6zTLyu5rNYHWiFe+gszDIFWta7a2EZXWYmqc+fMPiYDLSIiF1dZo8VjHx3CiUulCFK64+OHhyNI6d6ufZg8KBz+XnLkFFVg25+OVbdDtS6nA0c+1j8e90rbJhuNiNPf56YCWscZLjZktDp76+sG3WX6/wfV2muB1qWXXkLZL7vNPiYDLSIiF6bVCSzYmIoDmYVQurvho4fjEBnY/itQeMhlmDFMP9fdRyyKd0zJzwFCB/SdqJ+ioS0CewAe/oCmErh8zCrds4ZLav2qGyHetRktaW1Gq06gVfz1NxYdk4EWEZELe/H749hy7BIUMinWPDgU/cP8Wt7JRh64viukEmDfmQKcuVJmt35QI87sADKSAakbcEvz67SaRSLRDz8CDjV8aMho1R86rF+jJSzI5jHQIiJyUd+m5uDj/ecgkQD/mTYII3tYviyUNYX7e+LmaP06eZ8fYFG8w9DpgJ9rJySNe8x6s7kbhg8dKdCqrdHq7NX00KGlGGgREbmg7IJyPLNJP2TzxNheuGNgqJ17pHf/cP0KB/87fAGVNVo794YAACeT9MN77r7AmMXWO25EbUF8juMEWpfK6w0dNlIMr2d++MRAi4jIxdRodXh8QwrKqjSI6xaAefE97d0loxt7d0JEgCeKK2rwwx+59u4OCQH8+pb+cdyjgJfla9A2yTB0WJABlBda77itpNFpkF+RD+BaMXzTQ4fmH5eBFjmV3bt3Y+LEiQgLC4NEIsHmzZvN2m/VqlXG5WeGDh2KPXv2tKpNe2muL926dYNEImlwmzt3rt36S45l+bZTSD1fBF8PNyyfPhhuMsf5VSCTSoxF8Z8dMP8SerKRzF+AnMOAmwdw/RzrHttLBahqhyFzDlv32K2QX5EPndDBTeIGlYc+oGysGF6PNVrkotRqNWJiYrBixQqz99m4cSPmz5+PZ555BikpKRg9ejTGjx+P7Oxsi9q0l5b6cvDgQeTm5hpvycnJAID77ruv3ftKjmffmXys2qVfVP21ewYi3N+zhT3a39TYLpDLJEjJLsKpy6X27o5rM0xOOjjB8qV2zBE6UH9/5aT1j20hwxWHhslKAdZouRwhBHTl5Xa5Wbr2eFZWFiQSCb755hvceOON8PT0xNChQ5GVlYVdu3Zh2LBh8PLyQnx8PAoLrZcyHj9+PF5++WXcfffdZu/z1ltv4ZFHHsGjjz6Kvn37Yvny5ejSpQtWr15tURsAOH/+PO6//34EBAQgICAAM2fOxNWrV632/szpS6dOndC5c2fj7YcffkCPHj0wZswYq/aDOp6r6mos3JgGIYBpsV0w4TrHqMuqr5OPO+K66TMKqdlF9u2MK7uYApzdBUhkwMi/2+YcfhH6+1L7DxMbrzisrc8CrHPVYftM+0tWISoqcHLIULucu8+Rw5B4mT+3TmpqKgD9ENeyZcugVCoxZcoUJCQkQKlUYuXKlRBCYMKECVi7di0WLVpksv+yZcuwbNmyZs+xZcsWjB492uL3Uld1dTUOHz6MJUuWmGwfN24c9u3bZ3YbAMjIyMDIkSORmJiI/fv3Q61WY86cOVi0aBE++OCDNvXTkv7Wb//pp59i4cKFNlsUmDoGIQSe+voPXCqpRPdO3nh+Uj97d6lZfTr7YN+ZAma07Gnv2/r7AfcAAV1tcw7fcP19SY5tjm+B+lccAs0VwzPQIjtLS0tDQEAANmzYgKAg/SXj8fHx2LFjB9LT0+Ht7Q0AiIuLw6VLlxrsn5iYiKlTpzZ7jvDw8Db3Mz8/H1qtFiEhISbbQ0JCjP0yp42hz3/729/w4ovX5phZvHhxgyDS1v2ta/PmzSgqKsJDDz1ktT5Qx/TZgWz8nH4ZCpkU70wfDC+FY//47x3iAwA4yUDLPgrOAOnf6h+PesJ25/EN09+XXLTdOczUWEar6aFDBlpOSeLpiT5H7FMwKPG0rI4jNTUVkyZNMgZZAJCdnY0ZM2YYgyzDtjvuuKPB/iqVCiqVFa9uaUH9bI8QosG25tqcO3cO27dvx759+/Dmm28a22i1WnTp0qXB+V544QWTgKwxBw8eRGxsbKv7CwBr167F+PHjERYW1uy5yLmdulyKl35IBwAsvr0PBoTbb1JScxkCrdOXOXGpXex7Vz8LfM9bgc4DbHceQ0ar2AEyWvUmKwXqZLTqBVqWFNMw0OpAJBKJRcN39pSWlobFi03nW0lNTcW8efOMzysrK3Hq1CkMGjSowf7tNXQYFBQEmUzWIBuUl5dnzBqZ0yYtLQ0qlQoHDhxocA7PRoLUefPmYfr06c32rVu3bq3qr8G5c+ewbds2fPONZctFkHOprNHi8S9SUKXRYUzvTnh4VJS9u2SWXiFKAMClkkoUV9TAz1Nu5x65kNLLQOrn+sc3LLDtubxrC+zL8/VTSdixxKH+8jtA0zValvSTgRZZXUlJCbKysjB48GDjtnPnzqGwsNBk2/Hjx6HVahETE9PgGO01dKhQKDB06FAkJyfjrrvuMm5PTk7G5MmTzW4jl8tRWlqK0NBQk4xdU4KCgkyyfdbsr8G6desQHBzcaMaQXMerSX8aF4v+930xkEo7Rq2er4ccYX4euFhcidOXSxHbrf0y3C7vwHuAtko/c3vXkbY9l1eg/l5TCVSrAXelbc/XjEYzWlaY3oGBFlldWloapFIpBg4caNyWmpoKf39/kyxNWloaunfvDh8fnwbHaO3QYVlZGTIyMozPMzMzkZqaCpVKhchI/dw8K1aswKZNm7B9+3YAwMKFC5GQkIDY2FiMGDECa9asQXZ2NhITE43HaanN8OHD4evri4SEBDz33HNQKpXIyMjAli1b8Pbbb1v8PppjTn91Oh3WrVuHWbNmwc2N/81d1bb0y/hov34uqn/fNxCdfNzt3CPL9ArxwcXiSpy6XMZAq71UlgAH1+ofj5pv+wyTwls/R5emEigvsFugpdVpcaX8CoBrk5UCgEwq078uTFcpEAy0yJ7S0tIQHR1tMmSWkpLSIHOVlpbW6LBhWxw6dAjx8fHG5wsXLgQAzJo1C+vXrwegLyg/c+aMsc20adNQUFCApUuXIjc3FwMGDEBSUhK6du1qdhuVSoWkpCQ89dRTGDNmDIQQ6NmzJxISEqz6/szt77Zt25CdnY2HH37Y6uenjuFySSUW/S8NAPDIDVG4qU+wnXtkud4hSvxy6gqvPGxPh9cBVcVAUG+gzwTbn08iAbyCgJIL+uFDW13d2IKCygJohRYyiQyBHoHG7TKJPtDSCZ3pDhYEoBJh6QRJZFUlJSXw8/NDcXExfH19jdsrKyuRmZlpnP2byJb4eXMuOp1AwocHsDejAP3DfPHNnJFwd5PZu1sW++rQeSz63x8Y2SMQnz92vb274/w0VcDygUDZJWDySmDwA+1z3vdGA5f+AGZ+BfQe1z7nrOfolaOYmTQTnb07I/neZOP2T9I/wesHX8f4qPF4/cbXAQB/RvfF8b4PISugHxatm9Tg93d9nLCUiMjJrP7lDPZmFMBTLsM7MwZ3yCALAHoG64eRzlzhlYftIvUzfZDlEwZc13yNrFV519arlhe03znrMS4m7WV6UZFhhvj6GS1Lhg4ZaBEROZE9p6/gzZ/1y5m8OKk/enSyX3FxW3Wv7fvlkiqUVtbYuTdOrqoM2PWa/vGoxwE3Rfud21AQX57ffuesx3jFYb1Aq+mhQ/OPzUCLiMhJZOSVYs5nR6ATwNTYCEyNaziHW0fi5yk3FvCfvaK2c2+c3L53gbLLQEAUEPtI+57by/4ZrfOl5wEAET4RJtubymhZEj4x0CIicgKF6mo8vP4QSis1iO0agJem2HCSyXbUo5N+upSz+Rw+tJmSXGDfO/rHt7zQvtksAPCuzWip7ZfRMgRaXXxM/zgxBFoNrzo0HwMtIqIOrkqjxV8/OYTswnJEqrzwfsLQDluXVZ9h6PNMHjNaNrPzFaCmHIgYBvSb3HJ7azMOHdovo3Wh9AKAhoGWNa46ZKBFRNSBCSHw9NdHcTDrKnw83PDhQ7EIVHas+bKaYwy0WBBvGxdTgJRP9Y9ve8U+M7PbeehQq9PiQlnjgVZTGS1LMNAiIurAVu7MwDcpOZBJJVh1/xD0DG44AXBH1oNXHtqOEEDSYgACuO4+oMsw+/TDcNWhnYYOL5dfhkangZvUremrDnW86pCIyOX8+Ecu/v3zKQD6KwxH9+pk5x5ZX/cgfY1WVn45NNr6BcnUJn9sBC78Dsi9gVuX2q8fdh46NBbCKyOMM8EbGAMtcOiQiMilpJ4vwsIvUwEAD4+KwgPX22dGbVsL9/eEu5sU1VodLlytsHd3nEdlCZD8nP7xjU8CvmH264th6LCyCNC2/zQeTV1xCDRTo8WMFhGR88opqsCjHx1ClUaHm6OD8cwdfe3dJZuRSiXG+bQ4fGhFu9/QT+eg6g6MmGvfvnj6A7WZI5QXtvvps4qzAABdfRv+sWKs0dKxRosIALB7925MnDgRYWFhkEgk2Lx5s1n7rVq1yrj8zNChQ7Fnz55WtWkvLfUlJycHDzzwAAIDA+Hl5YVBgwbh8OHDduotWVNZlQaPrD+I/LIqRHf2wTszBkMmtUMBczsyTPHAQMtK8k8Dv63WP779NcDNzhdPSGWAZ4D+sR2GD7NKsgAA3Xy7NXitqYyW4NAhuSq1Wo2YmBisWLHC7H02btyI+fPn45lnnkFKSgpGjx6N8ePHIzs726I27aWlvly9ehWjRo2CXC7Hli1bkJ6ejjfffBP+/v7t3leyLq1O4PEvUnDiUimClO5Y+1AclO5u9u6WzXGKBysSAtjyFKCrAXrdBvS+zd490jNeedj+BfGGQCvKL6rBa01PWMpAyykJIVBTpbXLzdK1x7OysiCRSPDNN9/gxhtvhKenJ4YOHYqsrCzs2rULw4YNg5eXF+Lj41FYaL1U8fjx4/Hyyy/j7rvvNnuft956C4888ggeffRR9O3bF8uXL0eXLl2wevVqi9oAwPnz53H//fcjICAAAQEBmDlzJq5evWq192dOX/71r3+hS5cuWLduHYYNG4Zu3bph7Nix6NGjh1X7Qe1LCIGXfkjHjhN5cHeT4oNZsQj397R3t9qF4cpDTlpqBSe3AGe2AzIFcPur9u7NNXZa77BGW2OcQ6uxjJY1Ai3n/1PIiWiqdVjzxC92Ofdf3h4Dubv5EyCmpqYC0A9xLVu2DEqlElOmTEFCQgKUSiVWrlwJIQQmTJiAtWvXYtGiRSb7L1u2DMuWLWv2HFu2bMHo0aMtfi91VVdX4/Dhw1iyZInJ9nHjxmHfvn1mtwGAjIwMjBw5EomJidi/fz/UajXmzJmDRYsW4YMPPmhTPy3p73fffYfbbrsN9913H3755ReEh4djzpw5eOyxx6zSB7KPt7efxvp9WQCAt6YOwqAu/nbtT3u6NnTIjFabVJUCPz2lfzxiHhDoQH98ean09+08xcP5svPQCi283LwQ7BXc4HVrzAzPQItsIi0tDQEBAdiwYQOCgvR/qcTHx2PHjh1IT0+Ht7f+B2dcXBwuXbrUYP/ExERMndr86vHh4eFt7md+fj60Wi1CQkznTgkJCTH2y5w2hj7/7W9/w4svvmjctnjx4gZBpK37e/bsWaxevRoLFy7E//3f/+H333/H448/Dnd3dzz44INW6wu1n//uPovl204DAJ6f2A93DAy1c4/aV/cgfUarUF2NQnU1VN7tvESMs9iyBCjKBvwigdH/sHdvTBlqtCqK2vW0dQvhJY3UXVljZngGWh2Im0KKv7w9xm7ntkRqaiomTZpkDLIAIDs7GzNmzDAGWYZtd9xxR4P9VSoVVCpV6ztsofr/wYQQDbY11+bcuXPYvn079u3bhzfffNPYRqvVokuXhgv7vvDCCyYBWWMOHjyI2NhYi/ur0+kQGxtrzAgOHjwYx48fx+rVqxlodUAf7DmLV5L+BAA8Oa43Zo9qWEfi7DwVMoT7eyKnqAJnr5RB5d1+PxucRvp3QOqnACTA3e8D7kp798iUZ+33tKJ9rzo8U3QGQOP1WQAglTaV0WKg5ZQkEolFw3f2lJaWhsWLF5tsS01Nxbx584zPKysrcerUKQwaNKjB/u01dBgUFASZTNYgq5aXl2fMGpnTJi0tDSqVCgcOHGhwDk/PhnU08+bNw/Tp05vtW7du3VrV39DQUPTr18/k9b59++Lrr79u9nzkeNbsPoNlSScAAH+/uSfmxve0c4/sJyrIGzlFFcjMVyO2GwMti5ReAr5/Qv/4hvlA15F27U6jDEOH7Ty9w4lC/f+vaFV0o683PY+W+RhokdWVlJQgKysLgwcPNm47d+4cCgsLTbYdP34cWq0WMTExDY7RXkOHCoUCQ4cORXJyMu666y7j9uTkZEyePNnsNnK5HKWlpQgNDTXJ2DUlKCjIJNtnzf6OGjUKJ0+eNNnv1KlT6NrVOSe0dFbv/3IGr27R/xJ4fGwvLLilV6NDG66ia6AXfs0AzhWU27srHYtOB2yeo88UdR4I3PR/9u5R44xDh9a9eKglJ6/qf1b2UfVp9PX6xfDCsBSPxPxRHgZaZHVpaWmQSqUYOHCgcVtqair8/f1NsjRpaWno3r07fHwars3W2qHDsrIyZGRkGJ9nZmYiNTUVKpUKkZGRAIAVK1Zg06ZN2L59OwBg4cKFSEhIQGxsLEaMGIE1a9YgOzsbiYmJxuO01Gb48OHw9fVFQkICnnvuOSiVSmRkZGDLli14++23LX4fzWmpLwsWLMDIkSOxbNkyTJ06Fb///jvWrFmDNWvWWLUfZDurd53Bv37SB1lPjO2FBbf2tnOP7C+qdimezAIWxFtk/wr9VYZuHsDd/wXcHLS+zQ5Dh+oaNbJL9NPi9AkwM9CqrtbfW3AeBlpkdWlpaYiOjjYZMktJSWmQuUpLS2t02LAtDh06hPj4eOPzhQsXAgBmzZqF9evXA9AXlJ85c8bYZtq0aSgoKMDSpUuRm5uLAQMGICkpySQD1FIblUqFpKQkPPXUUxgzZgyEEOjZsycSEhKs+v7M6UtcXBw2bdqEp59+GkuXLkVUVBSWL1+O+++/3+p9IetbuTMDb2zV/5U9/5ZemH8LgywA6BZoWPOQgZbZcg4D22trQW9/FQhufHjMIdhh6PD01dMQEAj2DEagZ2CjbepfdWgItCyZ3kEiLJ0giayqpKQEfn5+KC4uhq+vr3F7ZWUlMjMzjbN/E9kSP2+OYcWO08ZFohfe2huPj+1l5x45joy8Utzy1m4o3d1w9IVxLj2MapbKEuD90cDVLKDvJGDqxxZdKdfu8v4EVl2vH0J8KqtdTvnFiS+w7MAy3BhxI1aOXdlom2P5xzDjxxkI9Q7Fz/f+DE1+Pk7fMBpHBj2BXK9wLFo3qcHv7/o4YSkRkQN4d/u1IOvJcQyy6uui8oJEol+CKL+suuUdXJkQwA8L9EGWXyQw6R3HDrKAOkOHRfq6snZwsrC2PquJYUOg6YyWsCB8YqBFRGRnb287jTeT9UHWotv6YN7NDLLqc3eTIcxPX46QxTqt5qV+Bhz7HyCRAfeuvVZo7siMfRRAZVG7nLKlKw6Ba1cdGgb/rg0dmo+BFhGRnQgh8NbPJ/Gfbfoga/HtfVx6CoeWGAriWafVjCsngaTaSZJvfgboMsy+/TGXmwJQ1F4Y1Q5XHlZrq3Hqqv7/XV9V3ybbGYaoDRktnSHQ4qLSRESOTaPV4elvjuKdHfqrZJeMj8acmxhkNadbkBcAZrSaVFkCfDkLqCkHut8EjFpg7x5Zph2nePiz8E/U6GoQ4B6ACJ+IJtvVn0dLVNdYfC5edejgdO00Vk2ujdfEtK/yag3+/nkKtp/Ig1QCvDh5ABKu5zxnLbl25SHn0mpAqwG+egi48ieg7Azc9T4g7WC5FK8AoDi7Xa48/OPKHwCAgZ0GNnthRdM1WpwZvsNTKBSQSqW4ePEiOnXqBIVCwatsyCaEELhy5Yp+5QG53N7dcXoFZVV4+KNDSDtfBHc3Kd6ZMRi39e9s7251CMZAixktU0IAWxbr58uSewEzNwA+HfAz1Y5zaRkCrZhODSfMrqthRsvyoUMGWg5KKpUiKioKubm5uHjxor27Q05OIpEgIiICMlnHWOKpo8rIK8UjHx3CuYJy+HvJsXZWLIZ25XIy5jIOHearG12P1GX9tho4tBb6dQz/C4QNbnEXh+Tpr7+vLLbpaYQQSL2SCgC4rtN1zbZtMGFpjeXzaDHQcmAKhQKRkZHQaDTQarUt70DUSnK5nEGWje0+dQVzPz+C0koNIgI8sX72MPQMdrCFfR1cF5UXpBJAXa3FlbIqBPtwzjecSAK21i6rM+4loO+d9u1PW7jXzkVl40DrQukFXFJfgpvUDQODBjbbljPDuwDDcA6HdIg6ro/2ZWHpD+nQ6gTiugXgvQeGIlDpbu9udTjubjKE+XviwtUKnCsoZ6B1/nfgfw8DEMDQ2cCIefbuUdt4+OnvbRxoHbh0AAAwMGggvORezbZtcmZ4XnVIRGR/NVod/rn5GJ7/7ji0OoF7hkTg00eHM8hqA0OdVqarT/GQdwL47D5AUwH0vBWY8IbjT0raknYKtH7P/R0AMDx0eIttm6zR4tAhEZF9FVfUYO5nR/BrRj4kEuCp26Px1xu7s66ojboFeeHXDOCcKxfEF18APr1bP7FneCww9SNA5gSjHu0QaAkhjBmtYZ1bnmOs7tChEMI4jxaHDomI7CgrX42HPzqIs1fU8FLI8J9pg3hloZW4/BQP5YXAp/cAJTlAUG/g/q8Ahbe9e2Ud7RBoZRRloLCyEB4yDwzs1Hx9FnAtowXUBlvMaBER2df+MwVI/PQwiitqEObngf/OikX/MD97d8tpBPvq67IK1S643mF1OfDFdODKCcAnFHjgG8DLia5abYdA6/dL+mHDISFDoJApWmxfNwOtgw6iitM7EBHZhRACnx7IxovfHYdGJzCoiz/WPDiUBdtW5q3QZxjKqzV27kk709YA/5sNnD+gD0ge+Abw72LvXllXO1x1eCDX/GFDoOmMFicsJSJqR8UVNXj6mz+QdPQSAGBSTBhev3cgPOScMsPavN31v7bKqlwo0Kqp1AdZp34C3DyAGRuAkH727pX1yfWLhkNTZZPDV2urjRktcwrhgWs1WgCg1Wkhqi3vGwMtIqI2SMm+ir9/kYILVysgl0nw1O3ReOSGKBa924i3Qv9rq7zaReYWrCoDNswAMncDMndg6sdA15H27pVtGAr6dZavJ2iO3y/9DnWNGp08O6FfoHmBqkxqmtHSlVfon0jMn7SBgRYRUSvodAJr9pzFv7eehEYnEKnywrszBiOmi7+9u+bUvNz1v/jUrpDRqriqn8LhwkFAoQRmfAFE3WjvXtmOtDbQ0tom0NqRvQMAEN8l3iRT1WyX6ma0hBa6Cn2gxasOiYhs6HJJJZ78Kg17TucDAO4cGIpld18HXw8nuMTewdXNaDn1MjxlecAndwGXjwEe/vqarIih9u6VbclqQxIbBFpandYYaN0cebP5XapToyWEgK7ccLUra7SIiGxiy9FcPL3pKIrKa+Ahl+KFif0xLa6L8/7CdzCGjJZGJ1Cl0TlnHdzVLOCTu4HCM4B3MPDgZiCkv717ZXuGqwBtMHT4+6XfUVBZAH93fwwLNa8QHgAkdQIqfUar3PCC2RhoERGZobSyBi9+n47/Hb4AABgQ7ovl0wZzvcJ2ZshoAfqsltMFWhdT9cOF6jzAL1IfZAX2sHev2ocNhw6TMpMAAOO6joNcan7mWSKRQCqR6uuzhA6i3DB0yIwWEZHVHMoqxIIvU3G+sAJSCfC3m3rgibG9oXDjKmbtTSaVwEMuRWWNDuoqDVTeLc+F1GFkbAO+nAVUlwEhA/STkfqG2btX7cc4u70AdFpAap0gukpbhW3ntgEAxkeNt3h/Q6ClFVoOHRIRWVONVoe3t53Gql0Z0AkgIsAT/5k2CHHdnGiSyA7IW+GGyppq57ryMOUz4PvHAZ0GiBoDTPvk2gSerkJaJyTRVgNST6sc9tcLv6KspgwhXiEYEjLE8m7VWRbaUAzPCUuJiNrozJUyLNiYij8u6CdPvHtIOF6Y1J8F7w7Ay12GArWTzKUlBLDn38COl/XPr5sKTF4JuDlRps5cdWdq19Zcm1erjX7M/BEAMCFqgtlXGzambjE8rzokImoljVaHj/afwxtbT6CyRgc/TzmW3XUd7hgYau+uUa1rVx528EBLWwMkLQIOr9M/HzUfGPs8IHXRIem6C2PrrPO9vVp5FbvO7wIATOg+oVXHMFmGx5DR4tAhEZHlDp+7imc3H8OfuSUAgBt6BuHf98Wgsx+X0XEkhtnh1VUdeOiwKBv438P6ObIgASa8AQx7zN69si+pDPoARuiHDq3g24xvUaOrQf/A/ohWRbfpWAICwlCjxaFDIiLzXVVX418/ncCGg+cBAH6ecjx1ezSmx3WBVMppGxyNV0df7/BEErD5b0Blkb4Oa8p7QHTrsi1ORybXB1lWuPJQq9Ni48mNAIB7e9/b6uMYpnjQ6epOWMpAi4ioRTqdwP8OX8CrW/7E1XL9D/apsRF46vZoBCrd7dw7aoph6LDDzQ6vqQa2vQD8tlL/PHwocO86IKCrXbvlUGQKfaBlhbm0krOTcaHsAvzc/TAhqvWBrHHoUF2ur6mzEAMtInJJKdlX8eL36Ug9XwQA6BPig5fvGsArCjsA49BhR7rq8Oo5/cLQOYf1z6+fC9zygmsWvTfHcOWhtm1BtBACHx79EAAwM3omvORebe0ZdCWlAACJuzuHDomImpJXUol//XQSXx/RTzzqrZBhwa29MWtkN8hlLlqE3MF4184OX95RMlrHvgZ+WABUFtcOFa4Gou+wd68ck6Egvo01Wr/l/oY/C/+Eh8wDM6JnWKFjgCgtAwBIfX04dEhEVF+VRosPf83Cih2njZmQe4dGYPFtfRDsy2L3jsRL0UEyWpXF+qsK/9DXCSE8Frj3Qw4VNsdKy/CsPboWAHB3r7sR4BHQ1l4BAHSl+oyWzMfXov0YaBGRUxNCYNufeXj5x3ScK9BfMTSoiz9emNQfg7r427dz1CretcXwDl2jlbUX2PRXoPg8IJECNy7S32Sch61ZVhg6PHjpIA5cOgA3qRtm9Z/V5i4Z1zss0We0ZL6+4PQOREQATl8uxdIf0rHndD4AINjHHUvGR2PKoHBeTdiBOXSNlqYa2PUq8Ot/AAggoBtw93+BLuYvZOzS2jh0KITAuynvAgDu6XUPwpRtX8LIUAxvMnSoYaBFRC7sckklVu3MwKcHsqHVCShkUjwyOgpz43tC6c4fex2doUbL4TJal9P10zbkpuqfD3oAGP8a4O5j1251KIYFn1s5dLj34l6k5KXAXeaOvwz8ixU7BgjD0KGvH1DIQIuIXNCl4kqs3pWBLw6eR7VGBwC4tV8InpnQF92CvO3cO7IWz9oarQpHyWhVFAG7XgN+XwMILeAZAEx8G+g32d4963iMGS3Lg+gaXQ3+c/g/AIDpfaYj2CvYKl0yDB2KYv1ExjJfX6DQ/P0ZaBFRh3exqAKrd53BxoPnUa3VB1ixXQOw4NbeGNUzyM69I2vzlOszWhU1dg60dDog9TNg+4uA+op+W/Sd+lnefds+ZOWSZK3PaK0/th6nrp6Cn7sfHrnuESt3DNAVXAUAyIICIc5JzF7wkIEWEXVYOUUVWLUzA18eOo8arf6n3rAoFeaP7YURPQJN1igj52EItCrtGWjlHNZfUWiYFyuoNzD+X0CPm+3XJ2cgbV2N1tnis3gv7T0AwFNxT1ntSkOgTkarsAgA4BYYBBbDE5FTy8grw5rdZ7ApJccYYF3fXYUnxvbGiB6Bdu4d2ZqnQj/fmV0yWsU5wM5XgNTPAQhA4QPc9BQw7K+cfNQajEOH5me0dEKHF/e9iGpdNW4IvwF3dr/Tun2qjalEoT6j5RYUCKAC5qa0GGgRUYeRdr4Iq3edwdb0S8aVMEb2CMQTY3theHcGWK7CwzB02J41WlWlwN63gX0rAI1+vTsMnA7c+iLg07n9+uHsjEOH5tdofZL+CY7kHYGnmyf+ef0/bZbJFleLAABuQUGA5DyHDonIOQghsDejAKt2ZWDfmQLj9lv7hSBxTA8M7Wq9IQLqGLzasxheqwFSPgZ2LrtWhxU5Ahj3MhARa/vzuxoLhw7TC9Kx/MhyAMCTsU9aZTqH+iSQ6Nc4rB06lAUGQeACmNEiog5NqxPYevwSVu86g6M5xQAAN6kEkwaF4W9jeqBXCC+Zd1XtUgwvBHD6Z+DnfwL5J/XbVN2BW5fqC95Z/2cbFgwdlteU46ndT0Gj02Bs5Fjc1/s+m3XLpwJAdQ0gkcAtuBNYo0VEHVZFtRabU3OwZvdZZOarAQAecimmx0Xi0dFRiAho++Kw1LEZAi2NTqBGq7P+GpXZB4AdLwFZe2pPqAJuWgIMnc06LFszzAzfwtChEAIv//YyskqyEOwVjBdGvGCzIUOJRIJA/cwOkAUFQiKXc1FpIup4juUUY8PBbHybchGltRNR+nnKMWtkNzw0shtU3vwFR3oeimuBVUWN1jqBlhDAmR3AvneBszv122QK4Pq/ATcsBDz9234OaplhrcMWMlpr/liD789+D6lEitdGvwZ/D3+bdUkCCQJL9MOE8s6hAMwuzwLAQIuI7KiksgbfpV7EhoPZOJZTYtzeReWJB6/vhhnDIzmTOzWgkEkhlQA6AVRWa+Hr0Yb1AzVVwB9fAvtXAlf+1G+TugGD7gdufBLwj7ROp8k8ZizB8/2Z77EidQUA4P+G/R/iOsfZvFuGjJa8s+HCB2a0iMhBCSFw+NxVbDh4Hj/+kWuss1HIpBjXPwTT4yIxskcg1yKkJkkkEnjKZVBXa1tfp6UuAA6tBX7/L6DO029TKIHBCcD1ifo1Cqn9tTB0+FPWT/jn3n8CAB7q/xCmRU+zeZckkKDz1dqMVkRE7UYGWkTkYC4VV2JTSg6+PnIBGXllxu09g5WYHtcFdw+J4PAgmc1T4QZ1tRblll55eOUU8NsqIO0LQFOp3+YbDgxPBIY8yCFCe2tm6PDnrJ+xZPcSaIUWk3tMxoKhC9qtW+G1Fzy79+gOgEOHROQgyqs12Hr8Er45koNfM/KNc195ymW4c2Aopg/rgiGRAZzBnSxm0aSlWg1wMgk4+AGQ+cu17aGDgJF/169JKGvD8CNZTxNDhz9n/YzFuxdDK7SY1GMSXhz5IqQSK18E0QSJRIKIAv0PL0X37oatZu/PQIuIrEqnE/gtswDfHMnBlqO5UNfJOAzrpsLdQ8Jxx8BQ+LSlroZcnnEZnuYyWmV5wOGPgMPrgJIc/TaJFOg9HhgxF+g6ktM0OJpGhg6/PPklXjnwCnRCh4ndJ2LpyKWQSWXt1iX3Kh2Camu03A2BFocOiai9nb1Shm+O5GBTSg5yiiqM2yNVXrh7SDjuHhyByEBOzUDW0eRcWkIA5w/oa6/Sv722OLFXkH5oMHY2C9wdWZ15tIQQeO+P97AqdRUA4N7e9+LZ4c+2a5AFACH5tZ+xAD/I/P0hhIBgRouIbE0IgZOXS7H9zzz8nH4ZaeeLjK/5uLvhzphQ3D0kArFdOTRI1udRP9C6eg5I36y/gvDysWsNI4YBcY8C/acAbu7t3k+yUG2NVrm2Esv2/hPfnvkWAPDXgX/F3EFz7fKzJNQQaHXr0qr9GWgRkdmqNFr8drYQ2/+8jO1/5plkrqQS4MbenXDPkAjc2i/E+IuQyBY8FTJESK6gy58fAL/tBC4eufaimydw3b36ACtskN36SK0gdcOfCjkWF/2GrMIKSCDB08OfxozoGXbrUpfc2mHMqDqBlgX1YQy0iKhZV0qrsPNkHrb/eRl7TuebXOXl7ibFqJ5BuDk6GOP6hSDY18OOPSWXUJQNpH+L5y99iij3E0Dt1FeQSIFuNwD9pgAD7gY8uQZmR1OjrcEHxUexJqwzNLoKBHsF47XRr7XLPFnN6Z2lL8yXxPQDoM/mW4KBFhGZ0OkEjl0sxi8nr2D7iTykXShC3Z8rwT7uGNs3GDdHh2BUz0DjAr9ENnPlFHDiB+DEj0DOIQBAFACtkOBSwFCEj5oJ9J0EKDvZt5/UakevHMVz+55DRlEGIJHgZpk/Xpz4tU1nfDeHtrQUEZdqM1qD+gMAhI6BFhFZKK+0EntO5WP36SvYczofhWrTS6uvC/fDzdHBuKVvCPqH+XIyUbItnRa4cEgfXJ1MAgoy6rwoAbqOwneaYXjpTE/cPyAO8+N6262r1DZl1WVYlbYKn/35GXRChwCZB57OvYDbu8RAYucgCwAqjhyBVAC5AUBYJ32WtKZaZ9ExGGgRuaBqjQ6Hz13FL6euYPepK0jPLTF5XenuhpE9AnFTn2CM7RuMEA4Jkq3VVABnfwFO/gic3AKor1x7TSoHom4Eou/Q33w6448f0nHlTGbrZ4Ynu9IJHb7N+BZvH3kbBZX62UDv7H4nFiu6ICDj6RYXlW4vZXv3AgDSIyUIq91WU6X/zEmEeZ89BlpELkAIgcx8NfZm5OOXU/nYfybfZH4rQJ+1urF3EMb0DsbgSH/rLNRL1BQhgIIzQOYu4MxO/a1Gfe11dz+g1636wKrnLYCHr8nungoz5tEih3Tk8hH86+C/kF6QDgDo6tsVT8U9hdERo4GUz/SNdM0vKt0ehBAoTd4GADjUS4KxtTUUNZX6z5xM0/R6jHUx0CJyQiWVNUg7X4SU7CKkZF9FyvkiFJWb/uAKUiowulcnjOndCTf0CkKQkpe+kw0JARSdA7J/AzJ367NXJRdM2/iGA30mANETgK43AG5NL8nUYHoHcmhanRa7zu/CR+kfISUvBQCglCuRGJOImdEzITfMn9XMEjztrfLYcWhyc1GlkOCPbhKI2oV3DBktmbbKrOMw0CLq4LQ6gVOXS02CqjNXylD/whiFmxSDu/jjxt764KpfKGutyIa0NcClo/rJQ7P3A9kHgLJLpm1kCqDLcCBqDNDrFv2SOGbOk+RVm9GyeK1DaldXK6/iuzPfYePJjThfeh4A4CZ1w+QekzFv8DwEeQaZ7iCrDUscINAq3rwZAHC8lwdq5Nf6o6lmoEXktIQQuFRSiT8uFBszVn9cKGowDAjoZ2QfHOmPwV38MTgyAH1DfaFw43Ag2UhlMXDhoD6gyt4P5BwGaspN20jd9MFU15FA95uAyBGAonWrBRiX4GFGy+EIIXDo8iF8deorbDu3DTW1w4C+Cl9M6zMN06OnI9gruPGdpbWZLTsPHWqLilD0zTcAgL1xXgCKG2a0dBw6JOrQhBC4XFKFoznFOHqhSH+fU4z8sob/uZXubojp4ofBXQIwONIfg7r4I5BDgWQrOi2Qf0p/ZWDOYX2Adfk4gHppVA8/fcaqy3Ag8nogbEirA6v6DDVaHDp0HBdKLyApMwnfn/keWSVZxu39Avvh3t734o6oO+Alb+H7X2cJHnsq/PgTiIoKuPfpg9M9yoDyYuNrhkBLyowWUceSV5upMgRUR3OKcaW04X9kmVSCXsFKDIzww5DIAAyODEDPYCVkHAYkWym5eC2oyjkMXEwBqssatgvoBnS5Hogcrr/vFA1IbZNFNdZocejQrooqi7A1ayt+zPzRWHsFAF5uXpjQfQLu7X0v+gf2N/+AhkDLjlcd1lzOQ8G6dQCAoL8lAmVv6l+o/TviWo0WM1pEDqm4vAZn88tw9ooaZ/PLcPJSKf64UIy8RoIqqQToHeKDAeF+GBjhhwHhfugX6svlbcg2NNVA4Vkg/6R+ktDcVH1gVZrbsK3cGwgbDIQPASJi9Vkrn87t1tVri0pbNqcRtY0QAmeKzmB/7n7svbgXBy4egEbogyIJJBjWeRju6H4HxnUbB2+5t+UnMAwdmhnE2MKVd96GqKiAZ0wMfG67DZKv3wKAa0OHlazRIrK7ao0O2YXlOHulDGfz1cisDarOXlGjQN34DxCpBOgV3DCoMgyREFlNZQmQf1ofUOWf0gdV+SeBwkygsbmBJFIguL8+qAofqg+sOkUDUvt9Ng3F8BXVjjHfkrMSQuBcyTmk5KXg0OVD+O3ib8iryDNp01fVF3d0vwO3d7sdId4hbTuhnYcOizZvRvHX+tqs4KeegkQigQSmowU1VfrPHAMtIhvTaHXIKarAuYJynCssx7l8Nc7mq3H2ShnOX62AtpllGkJ83dE9SInunbzRs3YYsG+oL5ezIevRaYHi8/oMVcGZ2oCqNrBqLENloFACQb2AoD5ASD8gPFa/MLOiFdkJG+L0DrZRo6vBiYITOJJ3BCl5KUjJS0FhZaFJG3eZO2JDYjEibARGh49Gd//u1uuA1H5Dh+rffsOlfz4HAAj861/hNWSwyeuGNQ4rSvVBoFxT72KPJvCnOlEzyqs1+kCqoBzZherae/3znKLmgykvhQzdO3mje5ASUUHe6N7JGz066R97u/O/HlmBTgsUX9AHU4VngILa+8KzwNWs5odflCFAUG/9rVOfa8GVb5jZUyzYk7EYnjVarSaEwPnS8zhecBzH8o/heMFxHM8/jkptpUk7hVSBAUEDMDh4MIaHDseQkCFwl9noYhtDlrSdA62yPXtwYd7fIWpq4DNuHDo98bjxNUm9/w+lhfqvj3vVVbOOzZ/25NK0OoErpVXIKboWQGUbMlQF5cgvaz41rHCTIlLlha4qL3QN1AdThuAqxNe9wX9QIotpqvTBVFF2bUBVm6EqPAtczWw+mJIp9AXqqh61gVSdoMozoN3egi1cm96BNVrm0AkdLpZdRHpBuj6gKjiO9IJ0lFaXNmjr5+6HwZ0GY3DIYAwJHoJ+gf2gkDU9eaxVtXMxvBAChes/Qt6//w1otVDGxyPs329A0shFHIYardICfaDlUclAi1yYVidQoK5Cfmk1rpRVIb+0yuQ+t7gSF4sqcKm4EpoWVmL385Sja6CXPqAK9EJXlbf+PtAbwT7unPSTWkenAyoKgbLLtbc8/X3pZaD0IlB0Xj/0V3a5+ePUDaZU3YHA7tce+0XYtY7KlgyBVrVWB41WBzcuGQUhBAoqC3Cx7CKyS7ORVZyFrJIsZBZnIrsku0GmCtBnq6JV0egX2A/9g/rjuqDrEOUXBanETl9PaW1Y0g6BVlVGBvLe+g/KduwAAPhNnozQl5ZComg8qBQQ+mV5DIFWVWGj7epjoEUdhk4ncLXcEDhV40pZZYNA6kppFfLLqlCorkYL8ZORTCpBZ18PRAR4GgOoukGVn5fctm+MnEt1uWngVPdWWieoUueZ/8tE7gX4dQFUUfogKrC7PpBS9XDqYKo5dS8SqdTooHSBQKtuIHWx7CJyynL092r9fW5ZbqPBlIGb1A29/Huhf1B/9A/U33oG9IRc6kA/44yBlm2GhIUQqDh0CIWffY7SrVv1S0PJZAh56ikEJDzQ6ChE3WL4kvwKVFVoINFp4FHJQIscnEarw9XyGhSqq6/dyqtRWFaNq+XVKFBX46paf19QVoUCdXWzNVH1SSRAoLcCQUp3dPJxR5DSHUFK/fPOfh4I9/dEeIAngn08OAcVNU1TDZTnA+p8QH0FKC/QPzZuyzd9varEsuN7BerrpZTBgLKz/t6nsz6w8u8C+EUCXqoOUTfVntzdpJBI9L8ny6s1UHbwuketTovCykLklefhUvkl5JXnGW+Xyy/jsvoyLqkvNRtIAfqgIMQ7BOHKcHTz7YYovyh08+2Gbn7dEK4Mh5vUwb9ONqrRqj5/HiVbfkLJ99+j6vRp43afW29B0Ly/w6NP7xaPIYTAhZP64ULfkizIzJy93sG/4tQRCCFQXq2FukoDdbUWJRWNB0+F5dUm24srWnf5rspbgSClwhg8dVK6I8jn2r3hNZWXgsMJdI0QQLUaqCrVT7ZZVQJUXAXUBbWB0pXaoKleIGVp4AQAbh764MmnNnBShtS71QZT3p2u1aSQRSQSCTzlMpRXa1FZ7Zh1WkIIlGvKUVhZiKLKIlytuorCykJjQJVXnofL6su4XH4Z+RX50DY2tUY9EkgQ7BWMcGU4wpRhCFOGGR+HK8PR2avztQWaOyIrDR0KjQaV6elQ79uH0m3bUXnsmPE1iacn/O68EwEP3A+PPn1aPFbdLFfGYf3UFoGF6Wb3hYGWC9LpBCpq9IFRWZUG6iotyqo0KK++9lwfNGlq2+if139dv48W6mpNgwWMzSWRAP6ecqi8FQj0dkeAtxwqb3eo6t0HetcGT94KyBk8uQYh9IXe1Wr9mnnVaqCqNkCqLqt9XApUl+rvq8pqt5fWCaZK67QrQ4MlYswlkQHeQYBXEOAdWHvfqXZb4LXXDEGUuw8zUO3AEGjZaoqHam01SqtLUVZThrLqMpTWlEJdrUZpTanxeVl1GcpqyvTtah8b2hdVFRnX+TOHVCJFkEcQgr2CEeIdgmCvYP1jL/3jMO8wdPbu4IFUSwyBlpnzaOnUalRfyEF15llUZZxB1ZkMVGecQVVWFlBT5xhSKbyvHw6f22+H7223QebnZ3HXirNqcOFEKSABQvIOwtxPncWB1n//+1889thjlu7mtH744Qf84x//gE6nw1NPPYVHH320zccUQqCyRoeKGi3KqzWoqP1BUl6trfdY08R2bbP7VtRoWx0YNUciAZQKNyg93KDyVpjcAr0VCDDceykQqNTf+3spOGzXkQmhvyrOEAiZ3JcDNWr9fbX62uOW2hq2V6sbnzyzrSRSfSCk8AE8/WsDpU6mgZR3p9rHtYGUh7/NlpKh1qs7l5YQAhWaCpRrylFRo78v15SjvKbp+wpNxbXntdvqBk3VZi4a3GI/ZR4I8AjQ39z193WDKEMgFegZ6PhDe7ZmrBcT0JWVQVNYCE1+ATT5V6C5nIeanBz97eJF1OTkQFtU1PShfHzgff1weI+6AT633gK3wMBWdUkCCSKK+uDPz/XLTvUdEQrPnYVoZBGqxvcXwrJfuUOGDMGRI0cs7adT0mg06NevH3bu3AlfX18MGTIEBw4cgEqlMvsYJSUl8PPzw/AXvkON1MOmgVB9UgngrXCDt7sbvN1l+vva50rDc+M2GZTubvAyvGZs5wav2tc85TJOZ2ALQgBCp/8LT1dTe6/R3wyPjdtqAK2miXY1+gLTpo6jqQI0FUBNhT7YqanU32sqG99mCI5EOwzbSOX6xYjdfWuDJCXgrrwWMLn71Hlee1//seG53JPZJisRQkCj06BGV4MaXQ00Oo3+JjTXHtfejK8381qNrgZV2ipUaatQqak0vddWokqjf80QUJ2+UoAaUQlPdw2qtZXGy++tzVvuDaVcCR+FD5RyJZQKpfHeR+5jfF7/dT93PwR4BMDTzdMm/XJEQgiImhqIqiqI6mqIykroKiqgKy+/dlPXeVyurt2mhvZqETR5l6A5fRjaSil0GvP+uJH6+kIR1Q3uPXrCvUcPuPfsAfeePeEWGtroNA3mKi+pxpXsUqz530aEXYoGAHTu7oeJfx+IM4MHokyrxbCM0yguLoavr2+Tx3Hx0Lltfv/9d/Tv3x/h4eEAgAkTJmDr1q2YMWOGxce6WFQJqXvDD4TCTQovhQxechk8FLLax276x3L988YfN9LGuK+0YwRGQugDA51Gn9nQaWqfa+s91+h/2Zs8115ra7K/rvHjtXiONpyzucBHq2kiQNLWeWzfVezNJlPor45TeNfee+nXw1N413ns1USbRl43tvF26DomndBBq9NCIzTQCR00Ov29VmivPW7p9XqPtTqtfpvQQKdr5PU6bQyPDcc3bq/3ev22JsFP/ZtoJEBqJEgyp6bIpmSAFEBVvW54uXnBS+5lcu8p99Q/b+Q1L/m1x3UDKG+FN7zdvCGz41WdQghAo4GoczN5XqOB0NQAWq3p86b2qTFsq92nznNju+pq6KqrIaqq9cFSVRV01bWBU51txnZ1notqa2QBr4UmEg8PuHXqBLegILgFBUEeHl7nFgZ5WBhkPj5mH1lbo0NVhQZV5TWoKtcYH1eU1KCsqArqq5Uou1qForxy4wzwYYiGgA6dYz0wedYgyNwsC94sDrTS09MxevRo9O/fH/3798eAAQPQv39/BAcHW3oou9u9ezfeeOMNHD58GLm5udi0aROmTJli0mbVqlV44403kJubi/79+2P58uUYPXo0AODixYvGIAsAIiIikJOT06q+PJmnhqfCOn+N1QAorr1ZSsAagZeVgrfWHKaxL2GzwaQE+v8G7fU3h+MEtuZ8r83prVU+MxIBoKz21qYDtb0vVmPtvshqb40HndLaW2OfZOv8v4adM4HWP7cOQBkktZ86/bNWfQat1jXrHKjx3yQS6D875v7R0khfDD8qLV2NyfC5qfv5qfdYUnebrgaA0F9UYtgmam8Xam8AgNzam3mEENBpLfg9KwH8OnnimPx3/Ba4BW9NXAY3uQwWDgRa/tulV69eeOedd3D8+HEcO3YMP//8M44dO4by8nLjMFpHoVarERMTg9mzZ+Oee+5p8PrGjRsxf/58rFq1CqNGjcL777+P8ePHIz09HZGRkY1+sVvKEFVVVaGq6tps4yUl+iuaqt0DIXOwtcSIiIhsTtS7R+2EoRqBpsLGNpEA7p5ucPdyg6L23sNbAWWAO5QB7vD2d4dvkCdUod6Qu8swcdMyFJTktHpo2uJAy83NDYMHD8bgwaaLLarVaqSnm3+5oyMYP348xo8f3+Trb731Fh555BFjgfvy5cuxdetWrF69Gq+++irCw8NNMlgXLlzA8OHDmz3nq6++ihdffLHB9oGxp+Ht6QnjXxGNxWsNgjiJSTvjpGqNBnuSa/8aX28iKJTUe62Rv0bqr2Ze/wASSZ1DmDxp8oSmjyVSQCqtHV+X6J8bbxIzslT1trQQAJvzd2STx7Dwr3xJS1//ljokaf6r3+QhGpuIz4y+t/JsjX5czTpGc1+W5vorMXzGrfOeJC1cpCGVSCGRSCCTyCCRSCGTSCGVyCCVSCCFtMm+tma4Xv9fqLXZjpa/rk2ftDWnM2+/hs0sP99rP/2J1PNFSBzTE/F9Olm2s8nPs9btZ7q9xR3NPL7puSQyGSRubpDIZIBcDolUqn/cHqyWCLXgQEIAywfoH/9lt/7iFCtSeMig8HBr8f93412zcaBVWFgIlUqFxMTERl/39vZGXFxcqzrhiKqrq3H48GEsWbLEZPu4ceOwb98+AMCwYcNw7Ngx5OTkwNfXF0lJSXjuueeaPe7TTz+NhQsXGp+XlJSgS5cuuP6BR5stpiMiIlPqtEKcKRSojAhB0HVd7d0dshZ5kb521U8C+HrYuzdtrmU2O9AKCgpCREQEYmJicP78ecTExCAmJga9evVy7ILqVsrPz4dWq0VISIjJ9pCQEFy6dAmAPrv35ptvIj4+HjqdDosXL0ZgC5ePuru7w93dRqueExG5EA+5vii5ykbzaJGdSN2uXTjkQGw+dJieno7U1FSkpKTg4MGDeP/991FYWAhPT0/0798fBw4caFUHHF39IFIIYbJt0qRJmDRpUnt3i4jI5bm76YfQKhloOZd2XFjaHOaVTzTN7EArOjoa0dHRmD59OgB9wPHTTz/h73//O8aOHdumTjiioKAgyGQyY/bKIC8vr0GWi4iI2p8xo6VxzCV4qJWM6x06RwDd6pm8JBIJxo8fj08//RQXL160Zp8cgkKhwNChQ5GcnGyyPTk5GSNHjrRTr4iIyMAwMzwzWk7GQTNaNi+G1+l0kDYyw+r1119vzHJ1NGVlZcjIyDA+z8zMRGpqKlQqFSIjI7Fw4UIkJCQgNjYWI0aMwJo1a5Cdnd3kBQFERNR+3N2Y0XJKjhZotVcxvFKpxIABAzBo0CDExMRg0KBB6NOnD37//XeUlbV1kkH7OHToEOLj443PDVcDzpo1C+vXr8e0adNQUFCApUuXIjc3FwMGDEBSUhK6duXVLURE9ubOjJZzMqx3aObC0u3F5sXw33zzDdLS0pCWloaVK1fi9OnT0Ol0kEgkeOmll1p1cnu76aabWkwFzpkzB3PmzGmnHhERkbkMGa3KGma0nIqT1WiZHWjdfvvtuP32243PKysrcebMGQQGBqJz58426RwREVFTDDVaVRrn+IVMtRxs6NCg3WaGN/Dw8ED//v1buzsREVGbXCuGZ0bLqThYoGWo0WptMXyrrzokIiKyp2vF8MxoORVHC7TaOI8WAy0iIuqQmNFyUg5ao9XaoUMGWkRE1CFdK4Z3rF/I1Eay2qsOHS2j1bo4i4EWERF1TIaMVjXn0XIuxqFDx5jeoa3zaDHQIiKiDsmwBA8zWk7GwWq0DDh0SERELsWwqDRnhncyDlajxWJ4IiJyScxoOSlmtIiIiOzPkNGqZEbLuThqoMV5tIiIyJUYMlpanYBGy2DLaUgd7KpDFsMTEZErMlx1CDCr5VQMNVpOsqg0Ay0iIuqQFLJrv8KqWKflPIxDh47xPWUxPBERuSSpVAKFYdJSZrSch4PWaLUWAy0iIuqwPDg7vPNxsEDLkNFiMTwREbkc99o6rSqud+g8jPNoOUigxWJ4IiJyVca5tDTMaDkN41qHjvU9ZTE8ERG5HONcWhw6dB4OOnTYWgy0iIiowzJktLgMjxNxsEWlDVij1cGsXLkS/fr1Q1xcnL27QkTUYXkY1jtkRst5OFiNliGhxaHDDmbu3LlIT0/HwYMH7d0VIqIOy50ZLefDebSIiIgcgwdrtJyPg9VoGTCjRURELseQ0ark9A7Ow9HWOmRGi4iIXJWxRovTOzgPR6vRMmhdQouBFhERdVyGCUuZ0XIihqFDrWMEWoYJSzl0SERELsfdzVAMz4yW03CwGi0OHRIRkcvyYEbL+ThYoGXAjBYREbkcdy4q7XwctUarlRhoERFRh2XIaHEeLSfiqGsdcmZ4IiJyNcZFpZnRch4ONnTIYngiInJZ1xaVZkbLaThaoMVieCIiclWGGq1qLQMtp+Goi0ozo0VERK5GYQi0OL2D8zAWwzvG99QwdNhaDLSIiKjDuhZoMaPlNBxs6NCIM8MTEZGruTZhKQMtp+Ggax1y6JCIiFwOM1pOyMEyWiyGJyIil8WMlhNysBotA86jRURELscwvQMzWk7EwTJabUxoMdAiIqKOS8HpHZyPIdDScnoHIiIiuzIOHXJmeOfhYBktFsMTEZHLYkbLCUlrQxPhGN9TFsMTEZHLUsj0v8ZqtAI6XSsnOiLHImExPBERkUNwl8uMj5nVchKGqw6FYwRanBmeiIhcliGjBXCKB6fhoBmt1mKgRUREHZZcdi3bwCkenISjZbRYDE9ERK5KIpHUmbTUMX4xUxsZM1oOEjhzHi0iInJlXIbHyRivOnSswJnF8ERE5JLcOcWDc3GwGi1O70BERC7NsAxPVQ0DLafgYBOWGrBGi4iIXBInLXUyjloMz6FDIiJyRdeW4WGg5RQMQ4dCB7QyuLEmzqPVQa1cuRL9+vVDXFycvbtCRNShXctoOUYGhNpIem0SWkdZhqctGGjZydy5c5Geno6DBw/auytERB2aYdJSXnXoJCR1QhMHKIhnMTwREbk0d7lhHi0GWk7BJKNl/0DLgMXwRETkkgwZLQZaTkJSJ9ByoIwWi+GJiMglccJSJ+NoGS3ODE9ERK7MOI8WAy3n4GAZLQMOHRIRkUtiRsvJONhVhyyGJyIil8ZAy8lIJDCO1zGjRUREZF/GCUs1jvNLmdrIgWaHZzE8ERG5NGa0nJADLSzNmeGJiMilsRjeCTlQRqutGGgREVGH5s6MlvORuunvHSGjxWJ4IiJyZcYleLQMtJyGYRkeBwi0DFijRURELunaEjyO80uZ2siBhg4NNVq86pCIiFwSF5V2Qg5UDN9WDLSIiKhDkxuHDluXcSAH5EAZLQNmtIiIyCXJa4vha5jRch4OlNFiMTwREbk0w9BhDYvhnYe0NjxxgCV4DFgMT0RELknhps848KpDJ+JIGS0WwxMRkSuTsxje+ThQjRaHDomIyKVx6NAJOVBGq60YaBERUYdmKIbn0KETYUaLiIjIMRgzWhpO7+A0HDCjxWJ4IiJySQo3Dh06HUe66rA2ocVieCIickkshndCxkWlNfbtBzh0SERELk4u4/QOTodDh0RERI6BQ4dOyJGK4SXMaBERkQszFMPrBKDVsSDeKThiRos1WkRE5IoMNVoA67SchgMVw7NGi4iIXJpJoMXhQ+fgQBktBlpEROTSDMXwAOu0nIYD1WgZsBieiIhckkQiMdZpcejQSThSRovF8ERE5OoMWS1mtJyEI2a0WAxPRESuilM8OBlJbXjiABktAwZaRETksgwF8VUcOnQOxoyW/b+fLIbvoFauXIl+/fohLi7O3l0hIurwDIFWjZbzaDkFB6rRMmAxfAczd+5cpKen4+DBg/buChFRh+fOoUPn4kA1WiyGJyIil8eFpZ2MI2a0WKNFRESuSu7GhaWditRNf6/T2LcfYI0WERGRcR6tGma0nINxCR77Z7Q4dEhERC7POHTIjJZzMA4dOs73k8XwRETksjiPlpNxpGJ4Dh0SEZGruzZ0yOkdnAKL4YmIiByHccJSZrScgwNltAw4dEhERC5L7sZieKfiQEvwsBieiIhcnnHokBkt5+BAS/AYcOiQiIhclqJ2Hi0GWk7CgWq0DMXwDLSIiMhlcWZ4J+NANVq86pCIiFzetXm0eNWhU3CgjJZRKz9aDLSIiKjD4zxaTsaRMloshiciIlfHoUMn40BXHRqwRouIiFyWQsZieKdiXFSagRYREZHdGYYOudahk3CkoUMWwxMRkavj0KGTccBieM4MT0RELkvOCUudiyNltFgMT0RErk5eW6Ol4fQOzoHF8ERERI7j2jxazGg5BQdagsc4MzyHDomIyFW51QZazGg5CQeq0eLQIRERuTxO7+BkHKhGq60YaBERUYfnJq0thtcxo+UUHCmjxekdiIjI1cndDEOHzGg5BQfMaLEYnoiIXJZcyqFDp+KIVx2yGJ6IiFwVi+GdjCNddchieCIicnWGebQ4vYOTcKAaLQMOHRIRkcuSM6PlXByoRovF8ERE5PKMgZaOGS2nIHXT3+s09u1HHcxoERGRy3IzDB1yUWnn4EBDh8aMViuTpQy0iIiow5NLDRktDh06hdrvJ4vhiYiIHIDcjdM7OBUHymgZcOiQiIhclnFmeK1o9XxH5EBYDE9EROQ4FLJrv860HD7s+Bwxo8UJS+3vrrvuQkBAAO699157d4WIyKUYiuEBfVaLOjgHmrD0Wi08Ay27e/zxx/Hxxx/buxtERC7HJNDiFA8dn2EJHg4dUl3x8fHw8fGxdzeIiFyO4apDAKjhFA8dnzHQcpzsZIfOaOXk5OCBBx5AYGAgvLy8MGjQIBw+fNhqx9+9ezcmTpyIsLAwSCQSbN68udF2q1atQlRUFDw8PDB06FDs2bPHan0gIiLbkUolkNUuLM0pHpyAxIGmd+joGa2rV69i1KhRkMvl2LJlC9LT0/Hmm2/C39+/0fZ79+5FTU1Ng+0nTpzApUuXGt1HrVYjJiYGK1asaLIfGzduxPz58/HMM88gJSUFo0ePxvjx45GdnW1sM3ToUAwYMKDB7eLFi5a9aSIisjo5Jy11HoZAywmK4d2s3A+L/etf/0KXLl2wbt0647Zu3bo12lan02Hu3Lno1asXNmzYAJlMXyx36tQpxMfHY8GCBVi8eHGD/caPH4/x48c324+33noLjzzyCB599FEAwPLly7F161asXr0ar776KgBYNctGRETWJZdKUQkdM1rOwIGK4Tv8hKXfffcdYmNjcd999yE4OBiDBw/Gf//730bbSqVSJCUlISUlBQ8++CB0Oh3OnDmDm2++GZMmTWo0yDJHdXU1Dh8+jHHjxplsHzduHPbt29eqY7Zk5cqV6NevH+Li4mxyfCIiVyN3Mywsbf9fztRGHDq0nrNnz2L16tXo1asXtm7disTExGav3gsLC8OOHTuwd+9ezJw5EzfffDPGjh2L9957r9V9yM/Ph1arRUhIiMn2kJCQJocjG3PbbbfhvvvuQ1JSEiIiInDw4MEm286dOxfp6enNtiEiIvO51dZoVTPQ6vgc6KpDg9YWw9t96FCn0yE2NhbLli0DAAwePBjHjx/H6tWr8eCDDza6T2RkJD7++GOMGTMG3bt3x9q1a9uc2gMapgeFEBYdd+vWrW3uAxERtY5cZshoceiww5M4ztBhW9k9oxUaGop+/fqZbOvbt69JEXp9ly9fxl/+8hdMnDgR5eXlWLBgQZv6EBQUBJlM1iB7lZeX1yDLRUREjslQDM/1Dp2AIcnhQHOiddiZ4UeNGoWTJ0+abDt16hS6du3aaPv8/HyMHTsWffv2xTfffIMdO3bgyy+/xJNPPtnqPigUCgwdOhTJyckm25OTkzFy5MhWH5eIiNqPm+zaeofUwTlgMXyHHTpcsGABRo4ciWXLlmHq1Kn4/fffsWbNGqxZs6ZBW51Oh9tvvx1du3bFxo0b4ebmhr59+2Lbtm2Ij49HeHh4o9mtsrIyZGRkGJ9nZmYiNTUVKpUKkZGRAICFCxciISEBsbGxGDFiBNasWYPs7GwkJiba7s0TEZHVGIcOHSgLQq3kRMXwdg+04uLisGnTJjz99NNYunQpoqKisHz5ctx///0N2kqlUrz66qsYPXo0FAqFcft1112Hbdu2ITAwsNFzHDp0CPHx8cbnCxcuBADMmjUL69evBwBMmzYNBQUFWLp0KXJzczFgwAAkJSU1mVkjIiLHwqFDJ+KIxfAddR4tALjzzjtx5513mtX21ltvbXT7oEGDmtznpptuMusLNGfOHMyZM8esfhARkWMxXHXIoUMn4EDF8B1+Hi0iIiJrkBtrtOz/y5nayIGGDg069FqHREREbcXpHZxI3UDLzgtLd/gJS4mIiKyBNVpOxHDVIcBAi4iIyBFwegcnUrcuykGGDzvsPFpERETWoOD0Ds5DUic8sfeVh21ceIaBFhEROQW32qHDag0DrQ5PUnfo0DG+nyyGJyIil+YmNWS0OHTY4dXNaOnsm9Ey1Ggx0CIiIpemcKsthmdGq+OTOk5Gi8XwREREuJbRqmFGq+MzqdFyjMCZxfBEROTSrs2j5Ri/mKkNHCjQ4szwRERE4DxaTsWBAq22YqBFREROwU3GtQ6dhkQC47wK9s5osRieiIiIax06HUNWy95XHXLokIiIiGsdOh3DlYccOiQiIrI/Y40WZ4Z3DsaFpe08M3wbMdAiIiKnYJzegRkt5yBhRouIiMhhGDJanN7BSRgzWh37+8lAi4iInIKbjEvwOBVjMTwDLSIiIruTSZnRcipSZrSIiIgchnHokBkt58ChQyIiIschk3J6B6fCqw6JiIgch1vt0KGWGS3nwKsOiYiIHIch0OI8Wk6CQ4dERESOw7DWITNaTsJBluBpKwZaRETkFDhhqZMxXnXYsb+fDLSIiMgpXKvR6thDTVSLxfBERESOw42LSjsXFsMTERE5DuOEpazRcg4shiciInIcnN7BybAYnoiIyHEYrjqs4RI8zkHKoUMiIiKHYbjqkBktJ8GhQyIiIsfBjJaTkei/n7zqkIiIyAGwRsvJGK867NjfTwZaRETkFAzTO9Qw0HIOLIYnIiJyHMxoORkWwxMRETkOWZ1AS3Tw4SYCi+GJiIgciVx67VcaJy11AlyCh4iIyHHIaq86BLgMj1PgEjxERESOw1CjBQAaLizd8Rmnd+jY30s3e3fA1RnqCEpKSuzcEyKijk2j1UFXVQ4AKLxaDOGtsHOPqE0qtUCVAErKADv+jqwoq4C2QosqdRVKSkoghECZVouy2qshW6oHlAhWDNrFypUrsXLlSlRVVeHs2bP27g4RERG1wvnz5xEREdHk6wy07KyoqAgBAQHIzs6Gn5+fvbvTZnFxcTh48KDTnNsax2zNMSzdx9z25rRrqk1JSQm6dOmC8+fPw9fX1+y+OTJ7fV5tdV5X+7w29zo/r45/3rYet7X7W7Jfc22FECgtLUVYWBik0qYrsTh0aGeGb46fn59T/DCQyWR2ex+2OLc1jtmaY1i6j7ntzWnXUhtfX1+n+KwC9vu82uq8rvZ5Nec4/Lw67nnbetzW7m/Jfi21NSdBwmJ4sqq5c+c61bmtcczWHMPSfcxtb047e34P25u93qutzutqn1dX+qwC/Lxaa39L9rPGe+fQoZ2VlJTAz88PxcXFTvNXFzknflapI+HnlRwFM1p25u7ujueffx7u7u727gpRs/hZpY6En1dyFMxoEREREdkIM1pERERENsJAi4iIiMhGGGgRERER2QgDLSIiIiIbYaBFREREZCMMtBzYDz/8gD59+qBXr1744IMP7N0dombdddddCAgIwL333mvvrhA16/z587jpppvQr18/DBw4EF999ZW9u0ROjNM7OCiNRoN+/fph586d8PX1xZAhQ3DgwAGoVCp7d42oUTt37kRZWRk++ugj/O9//7N3d4ialJubi8uXL2PQoEHIy8vDkCFDcPLkSXh7e9u7a+SEmNFyUL///jv69++P8PBw+Pj4YMKECdi6dau9u0XUpPj4ePj4+Ni7G0QtCg0NxaBBgwAAwcHBUKlUKCwstG+nyGkx0LKR3bt3Y+LEiQgLC4NEIsHmzZsbtFm1ahWioqLg4eGBoUOHYs+ePcbXLl68iPDwcOPziIgI5OTktEfXyQW19fNK1J6s+Xk9dOgQdDodunTpYuNek6tioGUjarUaMTExWLFiRaOvb9y4EfPnz8czzzyDlJQUjB49GuPHj0d2djYAoLERXYlEYtM+k+tq6+eVqD1Z6/NaUFCABx98EGvWrGmPbpOrEmRzAMSmTZtMtg0bNkwkJiaabIuOjhZLliwRQgixd+9eMWXKFONrjz/+uPjss89s3lei1nxeDXbu3CnuueceW3eRyKi1n9fKykoxevRo8fHHH7dHN8mFMaNlB9XV1Th8+DDGjRtnsn3cuHHYt28fAGDYsGE4duwYcnJyUFpaiqSkJNx222326C65OHM+r0SOwpzPqxACDz30EG6++WYkJCTYo5vkQtzs3QFXlJ+fD61Wi5CQEJPtISEhuHTpEgDAzc0Nb775JuLj46HT6bB48WIEBgbao7vk4sz5vALAbbfdhiNHjkCtViMiIgKbNm1CXFxce3eXXJw5n9e9e/di48aNGDhwoLG+65NPPsF1113X3t0lF8BAy47q11wJIUy2TZo0CZMmTWrvbhE1qqXPK6+KJUfS3Of1hhtugE6ns0e3yAVx6NAOgoKCIJPJTLIBAJCXl9fgrzAie+PnlToSfl7J0TDQsgOFQoGhQ4ciOTnZZHtycjJGjhxpp14RNY6fV+pI+HklR8OhQxspKytDRkaG8XlmZiZSU1OhUqkQGRmJhQsXIiEhAbGxsRgxYgTWrFmD7OxsJCYm2rHX5Kr4eaWOhJ9X6lDse9Gj89q5c6cA0OA2a9YsY5uVK1eKrl27CoVCIYYMGSJ++eUX+3WYXBo/r9SR8PNKHQnXOiQiIiKyEdZoEREREdkIAy0iIiIiG2GgRURERGQjDLSIiIiIbISBFhEREZGNMNAiIiIishEGWkREREQ2wkCLiIiIyEYYaBERERHZCAMtIqJ6brrpJsyfP7/J11944QVIJBJIJBIsX77cuF0ikWDz5s0269euXbuM550yZYrNzkNE1sNFpYmIWqF///7Ytm0bfH192+2cI0eORG5uLp544glUVVW123mJqPUYaBERtYKbmxs6d+7crudUKBTo3LkzPD09GWgRdRAcOiQil6ZWq/Hggw9CqVQiNDQUb775ptWOvXTpUoSEhCA1NRUA0K1bN7z00kuYOXMmlEolwsLC8O6775rsU1RUhL/85S8ICQmBh4cHBgwYgB9++MFqfSKi9sVAi4hc2qJFi7Bz505s2rQJP//8M3bt2oXDhw+36ZhCCDzxxBNYu3Ytfv31VwwaNMj42htvvIGBAwfiyJEjePrpp7FgwQIkJycDAHQ6HcaPH499+/bh008/RXp6Ol577TXIZLI29YeI7IdDh0TkssrKyrB27Vp8/PHHuPXWWwEAH330ESIiIlp9TI1GgwcffBCHDh3C3r17Gxxr1KhRWLJkCQCgd+/e2Lt3L/7zn//g1ltvxbZt2/D777/jzz//RO/evQEA3bt3b3VfiMj+mNEiIpd15swZVFdXY8SIEcZtKpUKffr0afUxFyxYgP3792PPnj2NBmx1z2V4/ueffwIAUlNTERERYQyyiKjjY6BFRC5LCGH1Y956663IycnB1q1bzd5HIpEAADw9Pa3eHyKyLwZaROSyevbsCblcjt9++8247erVqzh16lSrjzlp0iR8/vnnePTRR7Fhw4YGr9c9l+F5dHQ0AGDgwIG4cOFCm85PRI6FNVpE5LKUSiUeeeQRLFq0CIGBgQgJCcEzzzwDqbRtf4Pedddd+OSTT5CQkAA3Nzfce++9xtf27t2L119/HVOmTEFycjK++uor/PjjjwCAMWPG4MYbb8Q999yDt956Cz179sSJEycgkUhw++23t6lPRGQfDLSIyKW98cYbKCsrw6RJk+Dj44N//OMfKC4ubvNx773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" ] @@ -303,26 +316,14 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 37, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ - "/Users/nolansmyth/opt/anaconda3/lib/python3.9/site-packages/scipy/integrate/quadpack.py:879: IntegrationWarning: The algorithm does not converge. Roundoff error is detected\n", - " in the extrapolation table. It is assumed that the requested tolerance\n", - " cannot be achieved, and that the returned result (if full_output = 1) is \n", - " the best which can be obtained.\n", - " quad_r = quad(f, low, high, args=args, full_output=self.full_output,\n", "/Users/nolansmyth/opt/anaconda3/lib/python3.9/site-packages/scipy/integrate/quadpack.py:879: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", - " quad_r = quad(f, low, high, args=args, full_output=self.full_output,\n", - "/Users/nolansmyth/opt/anaconda3/lib/python3.9/site-packages/scipy/integrate/quadpack.py:879: IntegrationWarning: The maximum number of subdivisions (50) has been achieved.\n", - " If increasing the limit yields no improvement it is advised to analyze \n", - " the integrand in order to determine the difficulties. If the position of a \n", - " local difficulty can be determined (singularity, discontinuity) one will \n", - " probably gain from splitting up the interval and calling the integrator \n", - " on the subranges. Perhaps a special-purpose integrator should be used.\n", " quad_r = quad(f, low, high, args=args, full_output=self.full_output,\n" ] } @@ -334,38 +335,12 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 38, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "plt.loglog(ts, result_mw, label=\"MW\", color=\"lightblue\", linestyle=\"--\")\n", - "plt.loglog(ts, result_m31, label=\"M31\", color=\"cyan\", linestyle=\"-.\")\n", - "plt.loglog(ts, np.array(result_mw) + np.array(result_m31), label=\"Total\", color=\"blue\")\n", - "plt.xlim(1e-2, 1e1)\n", - "# plt.ylim(1e-8, 1e-5)\n", - "plt.legend()\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", 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", 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" ] @@ -504,6 +479,18 @@ "display_name": "python3", "language": "python", "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.7" } }, "nbformat": 4, diff --git a/nbs/01_ffp.ipynb b/nbs/01_ffp.ipynb index 172e664..67c1bcd 100644 --- a/nbs/01_ffp.ipynb +++ b/nbs/01_ffp.ipynb @@ -31,7 +31,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 3, "metadata": {}, "outputs": [], "source": [ @@ -60,7 +60,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 4, "metadata": {}, "outputs": [], "source": [ @@ -70,7 +70,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 5, "metadata": {}, "outputs": [], "source": [ @@ -159,7 +159,7 @@ " v_disp = model.velocity_dispersion_stars(r)\n", " return 2 * (1 / (ut**2 - umin**2)**0.5 *\n", " #For FFP number density, use stellar density for 1 solar mass stars\n", - " model.density_stars(d) / (1 * v_disp**2) * \n", + " model.density_stars(d, self.l, self.b) / (1 * v_disp**2) * \n", " v_rad**4 * (htosec / kpctokm)**2 *\n", " np.exp(-(v_rad**2 / v_disp**2)) *\n", " 1)\n", @@ -280,7 +280,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 6, "metadata": {}, "outputs": [], "source": [ @@ -324,6 +324,18 @@ "display_name": "python3", "language": "python", "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.7" } }, "nbformat": 4, diff --git a/nbs/04_utils.ipynb b/nbs/04_utils.ipynb index c909ebe..4f3c37b 100644 --- a/nbs/04_utils.ipynb +++ b/nbs/04_utils.ipynb @@ -31,7 +31,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ @@ -53,7 +53,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 39, "metadata": {}, "outputs": [], "source": [ @@ -67,7 +67,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 4, "metadata": {}, "outputs": [], "source": [ @@ -169,7 +169,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 5, "metadata": {}, "outputs": [], "source": [ @@ -182,7 +182,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 6, "metadata": {}, "outputs": [], "source": [ @@ -198,7 +198,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 7, "metadata": {}, "outputs": [], "source": [ @@ -320,7 +320,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 8, "metadata": {}, "outputs": [], "source": [ @@ -331,7 +331,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 9, "metadata": {}, "outputs": [ { @@ -360,7 +360,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 10, "metadata": {}, "outputs": [ { @@ -385,7 +385,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 11, "metadata": {}, "outputs": [], "source": [ @@ -407,7 +407,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 44, "metadata": {}, "outputs": [], "source": [ @@ -415,22 +415,19 @@ "#Ratio of angular extent of source and lens in plane of lens\n", "# rho == theta_s/theta_l\n", "rho_min = 0.1\n", - "rho_max = 4.5\n", - "rhos = np.linspace(rho_min, rho_max, 40)\n", + "# rho_max = 4.5\n", + "rho_max = 10.1\n", + "\n", + "rhos = np.linspace(rho_min, rho_max, 100)\n", "\n", "A_thresh_min = 1.01\n", "A_thresh_max = 1.34\n", - "A_threshs = np.linspace(A_thresh_min, A_thresh_max, 20)\n", - "\n", - "# u_ts_new = [u_t_finite_new(rho) for rho in rhos]\n", - "# ut_interp_rho = interp1d(rhos, u_ts_new)\n", - "# with open('../LensCalcPy/interpolations/ut_interp_rho.pkl', 'wb') as f:\n", - "# pickle.dump(ut_interp_rho, f)" + "A_threshs = np.linspace(A_thresh_min, A_thresh_max, 20)\n" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 45, "metadata": {}, "outputs": [], "source": [ @@ -452,7 +449,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 40, "metadata": {}, "outputs": [], "source": [ @@ -468,24 +465,24 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 41, "metadata": {}, "outputs": [ { - "data": { - "image/png": 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k6WTibar2mtrxGZQdNxrFrlRuREQaUkU5LJwIb14Prn0nTkMtgAHjdRpKLkyrSyEiydprbNeXptPYksqNiEhDOZoFb/0IFj8LnkroeYe16WVib9PJxJvp1NR5qdyIiDSE7z6CKZdD5goICoebXoMbJ4Mz3HQy8QVV5Wb7PCh3m81iQyo3IiL1qfQYzH4Y/nOXtcFhqz4wfin0uNV0MvElSf0gPAFKC+H7habT2I7KjYhIfcndDFOvhHVvAQ4Y9Cjc8xlEpZhOJr7Gz8+62g6sSepSg8qNiMjFqlq75l9DIW87hLWEOz+Ca/4M/oGm04mvqjo1te1TKC81m8VmAkwHEBHxakWHYPZDsGOe9bzDcBj9CoTGmM0lvq/1AAiNg+KDsGcJtL/GdCLb0MiNiMiF2jYXJqdZxcY/CEb8Fe74QMVGGoefP3QeZT3WVVM1qNyIiNRViQs+nmBtell8COK6WBteXvYLrV0jjavq1NTWT601lQTQaSkRkbrZuxxm/QKOZgIOGPggXPUHCAw2nUyaojaXQ0gUHD8Me5dBuytNJ7IFjdyIiNRGuRs+/x94Y6RVbCJbw91zYNhfVGzEHP8A6Pwj67FOTVVTuREROZ/czTD1Klj+IuCBXj+DX34NbS83nUzklFNTn0BlhdksNqHTUiIiZ1NZYRWar/7X2sW7WQz8+EXodL3pZCInpVwBwc2t+V+ZK6DtINOJjNPIjYjImRzOsDa7/OLPVrFJvR4eWKliI/bjH3jyz+Xm/5jNYhMqNyIip/J4YO2bMGXQiX2hwuCGl+H2dyAs1nQ6kTPr+RPrftOHcOyw2Sw2oHIjIlLlaCb8+0b45FdQWmRdifLLr6H3z3SJt9hb20EQ3x3KjlnlvIlTuRERqayE1dPglTTYvRACgq2roO76BFq0NZ1O5PwcDkibYD1eNbXJb8egciMiTduRPTD9xzAn3RqtaZ0G47+GgQ9ZK8CKeItuN0NYPBTmwJaPTKcxSuVGRJqmykr4Ziq8MhD2LIWAELjuObh7LsS0N51OpO4CgqDf/dbjFS9b88eaKJUbEWl68r+Ht34E834DZcXQZhA8sBwGjAc//bMoXqzvPdZp1ZwN1oT4Jsro3+KJEyfSr18/wsPDiYuLY/To0Wzfvv2cn1m0aBEOh+O027Zt2xoptYh4rcoKWPEKTL4c9n4NgaEw8nlrbk1UO9PpRC5eaDT0GGM9XvGy2SwGGS03ixcvZsKECaxcuZIFCxZQXl7OsGHDKC4uPu9nt2/fTk5OTvWtQ4cOjZBYRLxW3k54YwR89jiUH4eUIdZoTf/7NVojvmXAA9b9tjlweLfZLIYYXaF4/vz5NZ6/8cYbxMXFsXbtWoYMGXLOz8bFxdG8efMGTCciPqGiDFa8BIuehfISCAqHYc9An7t1ebf4prhO0P4a2PUFfPMqjHjOdKJGZ6sfVwoKCgCIioo673t79+5NQkICQ4cOZeHChed8r9vtxuVy1biJSBOwby1MvdJaZbi8BC65Gh5YAX3HqdiIb6savVn/NpQUmM1igG3KjcfjIT09nUGDBtGtW7ezvi8hIYGpU6cyY8YMZs6cSWpqKkOHDmXJkiVn/czEiROJjIysviUnJzfEb0FE7MJdCPN+D68NhQPfQkgU3Pgq/GwmNNfff2kCLrkaYjtbyxusm246TaNzeDz2uFZswoQJzJkzh2XLlpGUlFSnz44aNQqHw8Hs2bPP+Lrb7cbtdlc/d7lcJCcnU1BQQERExEXlFhGb2T4f5vwaXPus5z1uh+H/C6ExZnOJNLa1b8EnD0NkMjy8Afy9f69sl8tFZGTkeb9/22Lk5qGHHmL27NksXLiwzsUGYMCAAezcufOsrzudTiIiImrcRMTHFObCh3fBe2OsYtO8jTVSc9OrKjbSNPW4DZpFQ0EWbPvEdJpGZbTceDweHnzwQWbOnMlXX31FSkrKBf0669evJyEhoZ7TiYhXqKy09tJ5qb+1KqvDHy7/lbWDd/uhptOJmBMYAn3vtR43scvCjY5RTZgwgXfffZePP/6Y8PBwcnNzAYiMjCQkJASAxx9/nOzsbKZPt84ZTpo0ibZt29K1a1dKS0t5++23mTFjBjNmzDD2+xARQw7tsDa5zFxuPU/sDaNehIQeZnOJ2EW/++DrSbBvNWSthuR+phM1CqPlZvLkyQBceeWVNY6/8cYb3H333QDk5OSQmZlZ/VppaSmPPfYY2dnZhISE0LVrV+bMmcPIkSMbK7aImFZWYv2DvfT/QUWptRjf1X+Ay36h/aBEThUeD91vhQ3vwMqXIflN04kahW0mFDem2k5IEhEb2vkFzH0MjmRYzzsMg+v/HzRvbTaXiF3lboYpg6xTtr/a6NVXDHrVhGIRkfMq2AcfjIV3braKTXgC3PIG3PGhio3IubTsbq3I7amAVa+aTtMoVG5ExN4qyuDrf1gThrfOtn76THsQHlwN3W7SYnwitTFggnW/drq1DpSP8/6L3kXEd+1ZZq1Zc+jExrit06xTUPFdzeYS8TYdhkF0e8jfBevfgQHjTSdqUBq5ERH7KTwAM38Ob15vFZtmMTB6Moybp2IjciH8/GDAL63H30yGygqzeRqYyo2I2EdlBXwzFV7qC5s+ABzWOh0PrYFed+gUlMjF6PkTCG4OR/bA9nmm0zQolRsRsYesVdYml/N+A26XtWbN/V/Cj16AkBam04l4v6BQa9NYgJWvmM3SwFRuRMQs137rFNS0ayF3EwRHwvUvwH1fQqs+ptOJ+Jb+Pwe/ANj7NezfYDpNg1G5EREzykpgyfPwz1NOQfUeCw+uhX73ajE+kYYQkQhdb7Qe+/DojcqNiDQujwe2fgIv94evnoGyYki+DH6+EG54CcJiTScU8W0DHrDuv50BxXlmszQQXQouIo3nwBaY/3vIWGw9D0+Ea5+G7rdosrBIY2l1KUR3gPydkLMB2l9jOlG9U7kRkYZ37DAsmgirp1mrpPo74fKHYdCj1iRHEWlccZ2tcnNou8qNiEidVJTD2jdg4f/C8SPWsc6jYNhfoEVbo9FEmrTYVNiKVW58kMqNiDSMXV/C5/8DB7+znsd1geuehXZXmM0lIhDbybpXuRERqYXcb2HB/8D3X1nPg5vD1X+APuPAX//kiNhCTEfr/tA2a5K/j8150780IlI/XDmw8C/WvjV4wC/QWlNjyGPQLMp0OhE5VUwHwAElR6H4EITFmU5Ur1RuROTiuItg+Yuw/J9Qdsw61mU0XPMniGpnNJqInEVgCLRoY23FcGi7yo2ICGDtA7X+37Dw/6DogHUsqb81Wbj1ZWazicj5xXY6UW62Qcpg02nqlcqNiNSNxwO7voAFf4SDW6xjLdrCNU9Blxt87ty9iM+K6Qg75kPeDtNJ6p3KjYjUXs5Gq9TsXmQ9D2kBQ34L/e6DgCCj0USkjqqvmNpmNkcDULkRkfPL/x6++gt8N9N67h90crKwduwW8U6xqdb9IY3ciEhT4toPi5+Ddf+2VhYG6HaLdWl3VIrZbCJycaouBy/KheNHIaS5yTT1SuVGRE537DAsewFW/QvKS6xjHYbD0P+Blt3NZhOR+hEcYe3vVrjfmneT3N90onqjciMiJ7mLYOVk69Jut8s61joNhv4J2qSZzSYi9S821So3h7ar3IiIjyl3w5o3YOnz1oJeAPHdYegfocO1ugJKxFfFpsLuhT43qVjlRqQpqyiHTR/AomehINM61iLFmlPT9Sbw8zObT0QaVtWkYh+7HFzlRqQpqiiHb/8Li/8Kh7+3joUnwBW/hd5jwT/QbD4RaRwxVVdMaeRGRLxVZQVs/i8s+Svk77KOhUTB5b+yLu0OamY2n4g0rqq1bo5mQWkxBIWazVNPVG5EmoLKCvh2hnVZd3WpaQEDH4b+94Mz3Gw+ETEjNBqaRcOxfMjbCYm9TCeqFyo3Ir6ssgK+nXmi1Oy0joW0gIEPWSM1KjUiEtsJ9n5tzbtRuRER26qsgO9mWaWmaqJgSAtIe9AqNcERZvOJiH3EdLTKjQ/Nu1G5EfElFeVWqVnyN8jbbh0Lbg4DH4T+v1CpEZHTVe8xtd1sjnqkciPiC8pKYOO78PU/4Mge61hwJKQ9BJep1IjIOcSe2IZB5UZEbMFdaC2+t+Jla38YsCYHXvZLuOznVsERETmXqpGbw7uhvBQCgszmqQcqNyLe6Nhh+GYKfPMqlBy1jkW0sq5+unSsz1zOKSKNIDwBgsKhtNBa9yqus+lEF03lRsSbuPbD8pdg7ZtQVmwdi24Pgx6F7rf5xE9cItLIHA5rpeLsNdapKZUbEWkU+d/D15Ngw3tQWWYda9kDBv8aOo8CP3+j8UTEy51abnyAyo2IXXk8kPUNrHgJts0BT6V1vM0gGPwoXDJUG1qKSP2o3mNK5UZEGkJFOWydbU0Szl5z8niH4dZITevLzGUTEd9UvceUyo2I1KcSF6z/N6yccnKHbn8n9BwDAyZAXCez+UTEd1WP3Oy0FgH18lPdfib/4xMnTqRfv36Eh4cTFxfH6NGj2b79/K1x8eLF9OnTh+DgYNq1a8eUKVMaIa1IAzmaBZ89CS90gc+esIpNs2i44vfw6Lfw43+q2IhIw2reGgKCocJ9cq0sL2a03CxevJgJEyawcuVKFixYQHl5OcOGDaO4uPisn8nIyGDkyJEMHjyY9evX88QTT/Dwww8zY8aMRkwuUg+y18J/xsE/elrzakoLrWXQR/0DHv0OrnocwuJMpxSRpsDPH2I6WI+rtmzxYkZPS82fP7/G8zfeeIO4uDjWrl3LkCFDzviZKVOm0Lp1ayZNmgRA586dWbNmDc8//zw333xzQ0cWuTjlpdZ8mlX/gqyVJ4+nDLFWE25/DfgZ/ZlDRJqqmFTI3WztMZU6wnSai2KrOTcFBQUAREVFnfU9K1asYNiwYTWODR8+nGnTplFWVkZgYOBpn3G73bjd7urnLpernhKL1FJBNqx9A9a+BcUHrWN+gdD9FhjwACT0MJtPRKR6jymN3NQbj8dDeno6gwYNolu3bmd9X25uLvHx8TWOxcfHU15eTl5eHgkJCad9ZuLEiTz11FP1nlnknDwe2LPUGqXZNgc8FdbxsJbQdxxcehdEnP7nVUTEiOo9prx/d3DblJsHH3yQTZs2sWzZsvO+1/GDtT08Hs8Zj1d5/PHHSU9Pr37ucrlITk6+iLQi5+AuhI3vw+rXav4j0eZy6H8/dPoR+J8+wigiYlTVyE3eDuuHMy9eR8sW5eahhx5i9uzZLFmyhKSkpHO+t2XLluTm5tY4dvDgQQICAoiOjj7jZ5xOJ06ns97yipzRwW1Wodn4HpQWWccCQ61LufvdB/FdzeYTETmXqHbgF2D9++XKhshzfz+2M6PlxuPx8NBDDzFr1iwWLVpESkrKeT+TlpbGJ598UuPY559/Tt++fc8430akQZUWw5aPYd2/IXP5yePRHaxRmp63a2duEfEO/oEQdYm1SvGh7So3F2rChAm8++67fPzxx4SHh1ePyERGRhISEgJYp5Sys7OZPn06AOPHj+ell14iPT2d+++/nxUrVjBt2jTee+89Y78PaWI8Hti/HtZNh29ngPvEBHWHH6SOtEpNyhVePaQrIk1UbMeT5ab9UNNpLpjRcjN58mQArrzyyhrH33jjDe6++24AcnJyyMzMrH4tJSWFuXPn8uijj/Lyyy+TmJjIiy++qMvApeEdOwyb/2ON0hzYfPJ4i7bQeyz0ugMiEo3FExG5aDGpwCdev8eU8dNS5/Pmm2+eduyKK65g3bp1DZBI5AcqK60rntZNh62fWKt3grUtQpcfw6V3WhtZam0aEfEF1ZeDq9yI+J4je2DTf2DD2zWXIo/vZl3C3f0WaHb29ZhERLxS9eXgKjcivuHYYdjyEWz6EDJXnDzujLDKTO+xkNhbc2lExHdFdwAccPwwFOdBaIzpRBdE5UaatrIS2PmZVWh2fAaVZSdecFhbIvS8HbrcAEGhRmOKiDSKoGbWJppH91rrdIUOMp3ogqjcSNNTWWldtr3pA/juY3AXnHwtvjv0uM0aqdHkYBFpimI7nSg326Gtyo2IfXk81oZw38205tK49p18LaIVdL/VKjVaaE9EmrrYjtaIthfPu1G5Ed9VtR7Nlo+t25GMk685I6zTTT3GWNsi6GonERFL9TYMKjci9uDxQPZa+G4WbJkNBSfXSCIgGNpfY43SdLwOAoPN5RQRsauYVOteIzciBlVWwr5VJ0ZoZtc85RTYDDoMs0ZpOgwDZ5i5nCIi3qDqcvDCHCgp8MotZFRuxDuVlcDeZbB9vrW4XtEpm6kGhVkjM11usEZqgpqZyyki4m2CIyE8wSo3h3ZAcj/TiepM5Ua8hysHdn5uXbK9eyGUHTv5mjPC2tepyw1wydU65SQicjFiU61yk7dd5UakXlVWQs4Gq8zsmG89PlV4AnQcbpWadldCgNNASBERHxSTCrsXWWvdeCGVG7GXEhdkLLHKzM7PoehAzddb9bFOOXUcDi17aLVgEZGGEFs1qXiH2RwXSOVGzCovhX2rrZ8Qdi+yrnTyVJx8PSjMOs3Ucbg1ITgszlRSEZGmo7rcaORG5PwqK+HAt1aRyVgMe5fXnDsDENUOOgy3Ck2bgTrdJCLS2KrWujmaCaXHvO7CDJUbaVgej7V4XsaSE4VmCRzLr/me0FhIuQLaXWHdt2hjJKqIiJwQGgMhUdYGmvk7IaGn6UR1onIj9auiDHI2QdZKyFwJWd+cPm8mMBTaXm5NAm53JcR10dwZERG7ie1k7cN3aIfKjTQxx49A1qqTRSZ7HZQfr/kev0BI6msVmZQrrEnBAUFG4oqISC3FdjxRbrxv3o3KjdReean1hzxnozUJOOubM/+hD2kByZdZt9YDILE3BIY0fl4REblwXrzHlMqNnFnZcTiwxVpbJmejdTu4BSpKT39v1CVWiakqM9EdtBGliIi3izmxDYMX7jGlciNw7PCJEZlNJ4vMoW01L8muEhxpnXtN6HVydCYsttEji4hIA6sauTm82xq596LpBCo3TYXHA6791vDioR1WecnbYTXyY3ln/kyzGEjsdaLMnLg1b6PJvyIiTUFEIgSFQ2mhVXDiOplOVGsqN77E47Em+B7NtG75u04WmLyd1h/Qs4lMhpbdaxaZ8AQVGRGRpsrhsCYVZ6+1fjBuCuXG7XbjdGpxtUZVXV72niww1besE4stnaPAOPytBfJiU61zqVX3MR3BGdZ4vw8REfEOMalWufGyeTcXXG4GDhzI2rVraxzbsWMHHTt2vOhQTYrHAyUFUHzIuhUdPPPjquelRef/NUPjoHlraNHWKjCxqdYf0Kh2XnXOVEREDKvehsHHy82nn37Ktm3bKC4uZv/+/SQmJla/duutt7Jx48Z6DehV9q05MXpSBO5CcBdZIynuohPHik6+VnV//MiZr0A6l7CW0DzZKjCn3iJbQ2SS1y2TLSIiNtVUyk3Xrl3JzMzk4MGD3H777ezbt4+kpCQSExPx9/dviIzeY/Fz1k7WF8IZYW1DEBprXX0UGmuNwNR4HAcRrSAwuH5zi4iInElVucnfCZUV4Ocd3+drXW4OHz5MVFQUKSkpPPDAA3Tr1o0hQ4YAkJ2dTUZGBt26dWuwoF4hviuUFls7WTvDTtyHW7ezHQtpYZUXFRYREbGb5m3A3wnlJdZ8z6h2phPVSq3LTUxMDElJSfTs2bP6tnPnTtq3b0+rVq1o1apVQ+b0Dtf82XQCERGR+uPnb110cmCztYyIl5SbWi8ju2XLFv7617/SpUsXVq9ezQMPPECnTp0IDw/nsssua8iMIiIiYkps1UrF3rPHVK1Hbjp16kSnTp24/fbbAfB4PMyfP5+HHnqIoUOHNlhAERERMah6j6kdZnPUwQVvAORwOBgxYgRvv/02+/fvr89MIiIiYhdVp6KO7DEaoy5qPXJTWVmJ3xk2QxwwYED1aI6IeI9jpeXsOFDEzgOFRIcF0SOpOTFhWphTRH6gWbR1f/yI2Rx1UOtyExYWRrdu3ejVqxc9e/akV69epKamsmrVKoqKarGwnIgY4fF42HfkOFtzXGzLLWRbroutOYXsyS/G46n53lbNQ+iZHEmPpOb0SIqke6tIwoMDzQQXEXsIaWHd+2K5mTlzJhs3bmTjxo28/PLL7Ny5k8rKShwOB88880xDZhSROsg6fIwlOw+xLccqMttyCil0l5/xvTFhTjrGh3Go0M2uQ0VkHz1O9tHjzN2cC1hby1wSG0aPpEh6JTenR1JzOieE4wzwjrUuRKQeeGG5cXg8P/zZrXZKSkr4/vvviY6OpmXLlvWdq0G5XC4iIyMpKCggIiLCdByRerEx6yhTl+5m3uYcKn/wtzrQ30H7uHA6twync0IEnRLC6dQygtjwk6ehCkvK+DbbxcZ9R9m07ygbswrIPnr8tP9OmDOA/72xGzf00vIPIk1CiQueTbYeP5kLgSHGotT2+/cF7y0VHBxM165dL/TjIlIPKis9fLXtIFOX7mZVxuHq4/3bRtG7TXM6t7SKzCWxYQT6n/v6gfDgQNIuiSbtkujqY3lFbjbtO8qGrIIThecoR46V8av3N5B1+BgTrmqPQzvHi/g2Z7i18bKnwhq9MVhuauuCy42ImFNSVsHMddm8tmw3uw8VA9bozKieidw/uB2dE+pnRDImzMnVneK5ulM8ABWVHp6dt5V/Lc3g+c93sCf/GP93Y3eCAi74wksRsTuHwzo1dSzPKjcRief/jGEqNyJe5HBxKf9esZfpK/aQX2xtuBoeHMBPL2vD3QPb0jKyYbfx8Pdz8OT1XWgdHcqfPv6W/67dR/aR40z5WR8im2nisYjPOrXceAGVGxEvkJFXzGtLd/Pftftwl1cC1pVN9wxKYUy/ZMKcjftXeeyANiS1COHBd9axYnc+N03+mjfu7k/raO1IL+KTqicVHzUao7ZUbkRszF1ewQsLdvCvJburJwl3bxXJz4e0Y0S3lgScZx5NQ7oqNY7/jB/IPW+u5vtDxdz4ytf8666+XNq6hbFMItJAvOyKKeMnypcsWcKoUaNITEzE4XDw0UcfnfP9ixYtwuFwnHbbts179rwQqY0t+13c8NLXvLrYKjZXd4rj/Z8PYPaDlzOqZ6LRYlOlS2IEH024nK6JEeQXl/KTqSuZsynHdCwRqW9eVm6Mj9wUFxfTs2dPxo0bx80331zrz23fvr3GZWCxsbENEU+k0VVUenh1yff8fcEOyio8RIcGMfGm7gzras8lF1pGBvPhL9J4+L31fLntIBPeXUfm4U6Mv6KdrqQS8RUqN3UzYsQIRowYUefPxcXF0bx58/oPJGLQ3vxifv3hRtbstf4BubZLPBNv6m77bRFCnQFMvbMvz3y6hTeX7+G5+dvIPFzM0zd0O+8l6CLiBbys3Hjtvzq9e/cmISGBoUOHsnDhwnO+1+1243K5atxE7MTj8fDuN5mM+MdS1uw9QpgzgL/d0oOpY/vYvthU8fdz8Ocfd+VPo7rg54D3VmVxz5urcZWUmY4mIhdL5aZhJSQkMHXqVGbMmMHMmTNJTU1l6NChLFmy5KyfmThxIpGRkdW35OTkRkwscm4HC0u49601PDFrM8dKK7gsJYp5vxrMrX2TvfK0zrjLU5g6ti8hgf4s3ZnHXa+v4gIXQhcRu/CycnPB2y80BIfDwaxZsxg9enSdPjdq1CgcDgezZ88+4+tutxu321393OVykZycrO0XxLi5m3N4ctZmjhwrIyjAj98OT+Wey1Pw8/O+UvND32YXcNurKzhWWsH0e/ozpKPmxYl4rZ1fwDs3Q8seMH6psRi13X7B60ZuzmTAgAHs3LnzrK87nU4iIiJq3ERMKjhexqMfbOCBd9Zx5FgZXRIi+OTBQdw3uJ1PFBuAbq0iGdPPGiV9bVmG4TQiclG8bJ0bnyg369evJyEhwXQMkVpZvOMQ101awqz12fg54MGr2vPRhMtJbRluOlq9GzcwBT8HLNlxiO25habjiMiFCmlu3XvJaSnjV0sVFRWxa9eu6ucZGRls2LCBqKgoWrduzeOPP052djbTp08HYNKkSbRt25auXbtSWlrK22+/zYwZM5gxY4ap34JIrRSWlPF/c7fy3qosANpGN+P/3daLPm18d9G71tHNGN61JfO+zeX1ZRk8d0sP05FE5EJUjdyUFkJFGfjbe7sV4+VmzZo1XHXVVdXP09PTAbjrrrt48803ycnJITMzs/r10tJSHnvsMbKzswkJCaFr167MmTOHkSNHNnp2kdpatjOP383YRPbR4wDcPbAtv70ulWZBxv8KNrj7Bqcw79tcZm3I5rHhqcSGe8fVXyJyiuBIwAF4rFNTYfaeQ2erCcWNpbYTkkQuVrG7nInztvL2SqugJ0eF8LdbejKgXbThZI3H4/Fw4yvL2ZB1lF8N7cCj13Y0HUlELsSzbaDkKExYDbFm/h43qQnFIna04vt8hk9aUl1sxg5ow/xfDWlSxQasqyDvG5wCwL9X7qWkrMJwIhG5IF50Objvj4mLNLJjpeX8df523ly+B7B27/7rLT24vH2M2WAGXde1Ja2ah5B99Diz1mfzk/6tTUcSkboKaQFHMryi3GjkRqQerd5zmBH/WFpdbH7SvzXzHxncpIsNQIC/H+MubwvAtGUZVFY2ubPhIt7Pi0ZuVG5E6sGx0nKe+XQLt726gr35x0iIDOate/oz8abuhAfb+6qCxjKmXzJhzgB2HSxi8c5DpuOISF2p3Ig0DZWVHmat38fVzy9m2rIMPB64rW8Snz06hCu0Im8N4cGB3H5iUb9pS7Won4jX8aJyozk3Ihdo7d4jPP3pFjZmHQWsuTXPjO7K1Z3izQazsbsvb8vrX2ewbFceW3NcdE7Q1YoiXsOLyo1GbkTqKPvocR5+bz03T17OxqyjhAb585vhqXz56ytUbM4jqUUzRnS3VhOfpi0ZRLyLF5UbjdyI1NKx0nKmLPqeV5fsxl1eicMBt/ZJ4rFhqcRFBJuO5zXuG5TCnE05fLwhm98O1/87Ea+hciPiOyorPXy0IZvn5m/jgMvaXb5/ShR//FEXurWKNJzO+/Ru3YI+bVqwdu8Rpq/Yy2PDU01HEpHaULkR8Q1r9x7m6U+2sHFfAWCtMPzEiM5c160lDodv7N5twn2DUli79whvf7OXCVe1JyTI33QkETkflRsR77bzQCGTvtzJnE05AIQ5A5hwVXvGXd6W4EB9I75Yw7q2JDkqhKzDx5mxbh8/G9DGdCQROR+VGxHvtPNAIS9+tYtPN+3H4wGHA8b0TSZ9WEfiwjU3pL74+zm45/IUnvpkC68vy+CO/q3x89NImIitVZWbkgKorAA/+/6gp3IjwumlBmB413h+NbQjXRJ1uXJDuLVvMi8s2MHuvGIWbj/I0M660kzE1kKan3jgsQpOsyiTac5J5UaatLOVmoeHdqBroiYLN6QwZwB39G/Nq0t289rSDJUbEbvzD4SgMCgtsk5NqdyI2ItKjT3cNbAtry3LYMXufL7NLtDVZyJ2F9LiRLk5ajrJOancSJNyplJzXdeWPDy0g04/GZDYPITruycwe+N+Xl+WwQtjepmOJCLnEtIcCrJsP6lY5UZ8nsfjYVXGYaYty2DB1gMqNTZz3+AUZm/cz+yN+/ntdZ1oGamJ2yK25SVXTKnciM8qLa/k0037mbYsg+/2u6qPq9TYS4+k5vRvG8WqPYd5a8UefnddJ9ORRORsVG5EzDhcXMo7K/cyfeVeDhVaKwoHB/px06VJjBvYlg7x4YYTyg/dNziFVXsO887KvTx4VXtCnfqnScSWVG5EGtfOA4W8/nUGM9dl4y6vBCAu3MldA9tyR//WtAgNMpxQzmZo53jaRjdjT/4xZm/cz0/6tzYdSUTOROVGpOF5PB4W7zjEtGUZLN2ZV328e6tI7h2UwsjuCQQF+BlMKLXh7+dgeNeWvLpkNzsPFJmOIyJno3Ij0nDyitzMXLePD1Zn8f2hYgD8HDCsS0vuGZRCv7YttPeTl4kNdwJwqMhtOImInJXKjUj9Kq+oZMnOQ3ywOosvtx6kvNK67CnMGcCYfsncPbAtyVHNDKeUC1VdbgpLDCcRkbNSuRGpH3vyivnP2iz+u3YfB1wnf6rvmdycMX2TGdUzgfDgQIMJpT6cLDcauRGxLZUbkQt3vLSCed/m8MHqLL7JOFx9vEWzQG7sncSYfsmkttRVT74kTuVGxP5UbkTqprLSw/qso8xct4/ZG/dTWFIOWDtzD+kQy5h+yQztHIczwL470cqFiw2zFu9zlZRTUlZBcKC+ziK2c2q58Xisf6BtSOVGjPJ4PGzIOsqcTTnM3ZzD/oKT8y2SWoRwW99kbumTRGLzEIMppTFEhAQQ5O9HaUUl+cWltNLXXMR+qsqNpwLchRBsz8VQVW6k0Xk8HjZnFzBnUw6fbsoh++jx6tdCg/y5tks8t/ZNJq1dNH5+9vypQOqfw+EgJiyI/QUlHCp0q9yI2FFgCAQEQ3mJNXqjciNNmcfj4bv9Lj7dlMOczfvJOnyy0DQL8ueazvFc3yOBKzrG6nREExYb7qwuNyJiUyEtoDDHKjct2phOc0YqN9Jgyisq2ZB1lK+2HWTu5hz25B+rfi0k0J+hneP4UY8ErkyNU6ERQFdMiXiFU8uNTancSL3KK3KzePshFu04xJIdhyg4Xlb9WnCgH1d3iuP67olc1SmWZkH64yc1qdyIeAEvuGJK313kolRUeti07yiLth9i0faDbMouwOM5+XpkSCBDOsZybZd4hnaK04aIck6xYVWrFGshPxHbUrkRX5Rf5GbZrjwWbT/E4h2HOFxcWuP1bq0iuLJjHFd1iqVnUnMC/LW3k9SORm5EvEBIc+te5Ua82f6jx1mVcZhvMg6zes9hdh2subFhuDOAwR1juDI1jis7xhIXEWwoqXi7qnKTV1R6nneKiDEauRFv4/F42JN/jFUZ+XyTcZhVGYfZd+T4ae/r1DKcK1PjuCo1lkvbtCBQozNSD2LCNHIjYnvV5eao0RjnonLTxB0vrWBrrovN+wpYtccqMz/8xuLv56BbYgT9U6LonxJN3zYtaBEaZCix+LJTT0t5PB7t7C5iRxq5ETspcpezZb+LzdkFfJddwLf7C9h1sIhKT833BQX40Sup+YkyE8WlbVoQponA0giqRm6Ol1VQXFqhP3cidqRyIyZ4PB4OF5eyLbeQb7ML+Ha/i++yC9idV3zG98eEOenWKoK+bVrQPyWaHkmRWndGjAh1BhAa5E9xaQWHCt0qNyJ2pHIjDamkrII9+cXsPlTM7kNF7M47+dh1YtPJH0qMDKZrq0i6JUbSrVUE3VpFEq8JwGIjseFOivOPcajQTUpMqOk4IvJDKjfnt2TJEv72t7+xdu1acnJymDVrFqNHjz7nZxYvXkx6ejrfffcdiYmJ/Pa3v2X8+PGNE7gRVVR6yC9yk+sqIbeghP1Hj5ORV1xdYvYXHK+xpswPJUeF0L1VJF0TI+nWKpJuiRFEnxj2F7Gr2HAne06UGxGxIZWb8ysuLqZnz56MGzeOm2+++bzvz8jIYOTIkdx///28/fbbfP311zzwwAPExsbW6vN2UFJWgaukDNfxcvKK3BxwlZBTYBWYA64Scl0lHCgo4UChm4ofToj5gYjgANrFhtEuJpR2saG0iw0jJSaUlJhQnVoSr3RyUrEW8hOxpapyU+GGsuPWZpo2Y7zcjBgxghEjRtT6/VOmTKF169ZMmjQJgM6dO7NmzRqef/554+Vm/re5fH+oCNfxsury4iopw1VSTmHVsZJySssra/1r+jmsf+xbRgTTMjKYtjGhJ4qMVWiiQoN0RYn4lKpJxVrrRsSmgsLALwAqy63RG5Wbi7dixQqGDRtW49jw4cOZNm0aZWVlBAYGnvYZt9uN231yiNvlcjVItg/XZPHVtoO1eq/DAWHOAGLCnMRHVJWXEFpGOGkZGUz8iTITG+bUCr/SpMRqrRsRe3M4rNGb4kNWuYlINJ3oNF5XbnJzc4mPj69xLD4+nvLycvLy8khISDjtMxMnTuSpp55q8GyD2scQExZERHAgESGBhAcHVD+OCA44eSwkkLCgAPz8NOIi8kPVp6WKVG5EbOvUcmNDXldugNNOw3hOzKo92+mZxx9/nPT09OrnLpeL5OTkes91z6CUev81RZoa7S8l4gVsPqnY68pNy5Ytyc3NrXHs4MGDBAQEEB0dfcbPOJ1OnE5dJSTiDVRuRLyAzcuN103mSEtLY8GCBTWOff755/Tt2/eM821ExLuc3DzTTeV5rhYUEUNUbs6tqKiIDRs2sGHDBsC61HvDhg1kZmYC1imlO++8s/r948ePZ+/evaSnp7N161Zef/11pk2bxmOPPWYivojUs+hQq9yUV3o4erzMcBoROSOVm3Nbs2YNvXv3pnfv3gCkp6fTu3dv/vjHPwKQk5NTXXQAUlJSmDt3LosWLaJXr14888wzvPjii8YvAxeR+hEU4EeLZtYorE5NidiUzcuN8Tk3V155ZfWE4DN58803Tzt2xRVXsG7dugZMJSImxYQ5OXKsjLwiN6mEm44jIj9k83JjfORGROSHNKlYxOZUbkRE6kblRsTmQppb9yo3IiK1U71KsRbyE7Gn6pGbo0ZjnI3KjYjYjkZuRGxOp6VEROpG5UbE5qrKTWkRlNtvk1uVGxGxHZUbEZtzRgIntjwqOWoyyRmp3IiI7WjzTBGb8/Oz9aRilRsRsZ2YExOKjxwrpayi0nAaETkjG8+7UbkREdtp0SwIfz8HHg8cLrbf+XwRQeVGRKQu/P0cRIcGAZp3I2JbKjciInWjScUiNqdyIyJSNyo3IjanciMiUjdapVjE5lRuRETqRiM3IjYX3Ny6V7kREamdqsvBVW5EbEojNyIidaOF/ERsTuVGRKRuqspNnkZuROxJ5UZEpG4050bE5lRuRETqpqrcFLrLOV5aYTiNiJymqtyUFEClvf6OqtyIiC2FOwNwBlj/ROVp3o2I/VRtnAlWwbERlRsRsSWHw1E9enNQp6ZE7Mc/EILCrcc2OzWlciMitqV5NyI2Z9N5Nyo3ImJbVWvd6LSUiE1VnZpSuRERqR2N3IjYnEZuRETqRvtLidicyo2ISN1o5EbE5lRuRETqRuVGxOZUbkRE6kblRsTmVG5EROrm1Dk3Ho/HcBoROY3KjYhI3VSN3JSWV+IqKTecRkROo3IjIlI3wYH+hDsDAK11I2JLKjciInWneTciNqZyIyJSdzEqNyL2dWq5qaw0m+UUKjciYmsauRGxsartFzyVUFpoNMqpVG5ExNa0SrGIjQWGQECI9dhGp6ZUbkTE1jRyI2JzNpx3o3IjIramciNicyo3IiJ1U31aSuVGxJ5UbkRE6qZq5Ebr3IjYVNWkYpUbEZHaqSo3+cWlVFRqCwYR29HIzZm98sorpKSkEBwcTJ8+fVi6dOlZ37to0SIcDsdpt23btjViYhFpLFGhQTgcUFHp4cixUtNxROSHqsvNUaMxTmW83HzwwQc88sgjPPnkk6xfv57BgwczYsQIMjMzz/m57du3k5OTU33r0KFDIyUWkcYU6O9HVLMgQPNuRGxJIzene+GFF7j33nu577776Ny5M5MmTSI5OZnJkyef83NxcXG0bNmy+ubv73/W97rdblwuV42biHgPXTElYmMqNzWVlpaydu1ahg0bVuP4sGHDWL58+Tk/27t3bxISEhg6dCgLFy4853snTpxIZGRk9S05Ofmis4tI41G5EbExlZua8vLyqKioID4+vsbx+Ph4cnNzz/iZhIQEpk6dyowZM5g5cyapqakMHTqUJUuWnPW/8/jjj1NQUFB9y8rKqtffh4g0LK1SLGJjNpxzE2A6AIDD4ajx3OPxnHasSmpqKqmpqdXP09LSyMrK4vnnn2fIkCFn/IzT6cTpdNZfYBFpVNo8U8TGNHJTU0xMDP7+/qeN0hw8ePC00ZxzGTBgADt37qzveCJiE1UjN1rrRsSGTi03Hnss12C03AQFBdGnTx8WLFhQ4/iCBQsYOHBgrX+d9evXk5CQUN/xRMQmNOdGxMaqyk2FG8qOm81ygvHTUunp6YwdO5a+ffuSlpbG1KlTyczMZPz48YA1XyY7O5vp06cDMGnSJNq2bUvXrl0pLS3l7bffZsaMGcyYMcPkb0NEGpDKjYiNBYWCXyBUllmjN0HNTCcyX27GjBlDfn4+Tz/9NDk5OXTr1o25c+fSpk0bAHJycmqseVNaWspjjz1GdnY2ISEhdO3alTlz5jBy5EhTvwURaWDV5UanpUTsx+GwRm+KD1rlJrKV6UQ4PB6bnCBrRC6Xi8jISAoKCoiIiDAdR0TO40hxKb2fsU5fb//LdTgDzr6ulYgY8FJ/yNsOd30KKYMb7D9T2+/fxhfxExE5n8iQQAL9rSso84u0BYOI7djsiimVGxGxPT8/B9GhmncjYlsqNyIidadJxSI2pnIjIlJ3VeVGa92I2JDKjYhI3VVvwaCRGxH7UbkREak7XQ4uYmMhza17lRsRkdrTnBsRG9PIjYhI3anciNiYzXYGV7kREa+g01IiNqaRGxGRuovRhGIR+1K5ERGpu6qRm2OlFRS7yw2nEZEaqspNWTGUm/8BROVGRLxCaJA/IYHWnlJa60bEZpwR4DhRKWww70blRkS8gsPh0KRiEbvy84PgSOuxDU5NqdyIiNdQuRGxMRvNu1G5ERGvUb1KsU5LidiPyo2ISN1p5EbExlRuRETqTpeDi9iYyo2ISN1p5EbExlRuRETqrqrc6FJwERtSuRERqTuN3IjYmMqNiEjdnbq/lMfjMZxGRGpQuRERqbuYsCAAyio8FBwvM5xGRGpQuRERqTtngD+RIYGATk2J2I7KjYjIhdG8GxGbqi43R43GAJUbEfEyVaemtEqxiM1UlRt3AVSUG42iciMiXiU2PBjQyI2I7QQ3P/m4pMBYDFC5EREvo/2lRGzKPwCcEdZjw/NuVG5ExKtozo2IjYU0t+5VbkREak/lRsTGbHLFlMqNiHgVlRsRG1O5ERGpu6o5N9pfSsSGVG5EROouJty6FDy/uJTyikrDaUSkBpUbEZG6iw514ucAjwcOF5eajiMip1K5ERGpO38/B1Gh1qmpg5p3I2IvKjciIhemalKx5t2I2IzKjYjIhdEVUyI2pXIjInJhtEqxiE2p3IiIXBiN3IjYlMqNiMiFUbkRsamqclNyFCrNLdVgi3LzyiuvkJKSQnBwMH369GHp0qXnfP/ixYvp06cPwcHBtGvXjilTpjRSUhGxg5gwa60blRsRm6naGdxTCW6XsRjGy80HH3zAI488wpNPPsn69esZPHgwI0aMIDMz84zvz8jIYOTIkQwePJj169fzxBNP8PDDDzNjxoxGTi4iplSP3GjOjYi9BAZDYDPrscFTUwHG/ssnvPDCC9x7773cd999AEyaNInPPvuMyZMnM3HixNPeP2XKFFq3bs2kSZMA6Ny5M2vWrOH555/n5ptvbszoImJIXFW5cbnZd+SY4TQicqqWzuYElB2jpDCf4KgUIxmMlpvS0lLWrl3L73//+xrHhw0bxvLly8/4mRUrVjBs2LAax4YPH860adMoKysjMDDwtM+43W7c7pM/4blc5obKROTixYYFA1DoLmfQcwsNpxGRU80LCqCzH2z5fi+XtulrJIPRcpOXl0dFRQXx8fE1jsfHx5Obm3vGz+Tm5p7x/eXl5eTl5ZGQkHDaZyZOnMhTTz1Vf8FFxKiIkACGd41n0fZDpqOIyA+4CKPYE0xAZYmxDMZPSwE4HI4azz0ez2nHzvf+Mx2v8vjjj5Oenl793OVykZycfKFxRcQwh8PBq2PN/EQoIudROQz8/OlhMILRchMTE4O/v/9pozQHDx48bXSmSsuWLc/4/oCAAKKjo8/4GafTidPprJ/QIiIicnZ+/qYTmL1aKigoiD59+rBgwYIaxxcsWMDAgQPP+Jm0tLTT3v/555/Tt2/fM863ERERkabF+KXg6enpvPbaa7z++uts3bqVRx99lMzMTMaPHw9Yp5TuvPPO6vePHz+evXv3kp6eztatW3n99deZNm0ajz32mKnfgoiIiNiI8Tk3Y8aMIT8/n6effpqcnBy6devG3LlzadOmDQA5OTk11rxJSUlh7ty5PProo7z88sskJiby4osv6jJwERERAcDhqZqN24S4XC4iIyMpKCggIiLCdBwRERGphdp+/zZ+WkpERESkPqnciIiIiE9RuRERERGfonIjIiIiPkXlRkRERHyKyo2IiIj4FJUbERER8SkqNyIiIuJTVG5ERETEpxjffsGEqkWZXS6X4SQiIiJSW1Xft8+3uUKTLDeFhYUAJCcnG04iIiIidVVYWEhkZORZX2+Se0tVVlayf/9+wsPDcTgc532/y+UiOTmZrKws7UVlM/ra2JO+Lvalr4096etSOx6Ph8LCQhITE/HzO/vMmiY5cuPn50dSUlKdPxcREaE/dDalr4096etiX/ra2JO+Lud3rhGbKppQLCIiIj5F5UZERER8ispNLTidTv70pz/hdDpNR5Ef0NfGnvR1sS99bexJX5f61SQnFIuIiIjv0siNiIiI+BSVGxEREfEpKjciIiLiU1RuRERExKeo3NTCK6+8QkpKCsHBwfTp04elS5eajtTkLVmyhFGjRpGYmIjD4eCjjz4yHUmAiRMn0q9fP8LDw4mLi2P06NFs377ddKwmb/LkyfTo0aN6gbi0tDTmzZtnOpb8wMSJE3E4HDzyyCOmo3g9lZvz+OCDD3jkkUd48sknWb9+PYMHD2bEiBFkZmaajtakFRcX07NnT1566SXTUeQUixcvZsKECaxcuZIFCxZQXl7OsGHDKC4uNh2tSUtKSuLZZ59lzZo1rFmzhquvvpobbriB7777znQ0OWH16tVMnTqVHj16mI7iE3Qp+HlcdtllXHrppUyePLn6WOfOnRk9ejQTJ040mEyqOBwOZs2axejRo01HkR84dOgQcXFxLF68mCFDhpiOI6eIiorib3/7G/fee6/pKE1eUVERl156Ka+88gp/+ctf6NWrF5MmTTIdy6tp5OYcSktLWbt2LcOGDatxfNiwYSxfvtxQKhHvUVBQAFjfSMUeKioqeP/99ykuLiYtLc10HAEmTJjA9ddfzzXXXGM6is9okhtn1lZeXh4VFRXEx8fXOB4fH09ubq6hVCLewePxkJ6ezqBBg+jWrZvpOE3e5s2bSUtLo6SkhLCwMGbNmkWXLl1Mx2ry3n//fdatW8fq1atNR/EpKje14HA4ajz3eDynHRORmh588EE2bdrEsmXLTEcRIDU1lQ0bNnD06FFmzJjBXXfdxeLFi1VwDMrKyuJXv/oVn3/+OcHBwabj+BSVm3OIiYnB39//tFGagwcPnjaaIyInPfTQQ8yePZslS5aQlJRkOo4AQUFBtG/fHoC+ffuyevVq/vGPf/Dqq68aTtZ0rV27loMHD9KnT5/qYxUVFSxZsoSXXnoJt9uNv7+/wYTeS3NuziEoKIg+ffqwYMGCGscXLFjAwIEDDaUSsS+Px8ODDz7IzJkz+eqrr0hJSTEdSc7C4/HgdrtNx2jShg4dyubNm9mwYUP1rW/fvvz0pz9lw4YNKjYXQSM355Gens7YsWPp27cvaWlpTJ06lczMTMaPH286WpNWVFTErl27qp9nZGSwYcMGoqKiaN26tcFkTduECRN49913+fjjjwkPD68e9YyMjCQkJMRwuqbriSeeYMSIESQnJ1NYWMj777/PokWLmD9/vuloTVp4ePhp89FCQ0OJjo7WPLWLpHJzHmPGjCE/P5+nn36anJwcunXrxty5c2nTpo3paE3amjVruOqqq6qfp6enA3DXXXfx5ptvGkolVUsmXHnllTWOv/HGG9x9992NH0gAOHDgAGPHjiUnJ4fIyEh69OjB/Pnzufbaa01HE2kQWudGREREfIrm3IiIiIhPUbkRERERn6JyIyIiIj5F5UZERER8isqNiIiI+BSVGxEREfEpKjciIiLiU1RuRERExKeo3Ii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" - ] - }, - "metadata": {}, - "output_type": "display_data" + "ename": "TypeError", + "evalue": "__call__() takes 2 positional arguments but 3 were given", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mTypeError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_8354/2914777924.py\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mplot\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mrhos\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mut_interp_rho\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mrhos\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;36m1.34\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 2\u001b[0m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mplot\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mrhos\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mut_interp_rho\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mrhos\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;36m1.01\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 4\u001b[0m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mxlabel\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34mr'$\\rho$'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 5\u001b[0m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mylabel\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34mr'$u_t$'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mTypeError\u001b[0m: __call__() takes 2 positional arguments but 3 were given" + ] } ], "source": [ "plt.plot(rhos, ut_interp_rho(rhos, 1.34))\n", - "plt.plot(rhos, ut_interp_rho(rhos, 1.1))\n", - "\n", + "plt.plot(rhos, ut_interp_rho(rhos, 1.01))\n", "\n", "plt.xlabel(r'$\\rho$')\n", "plt.ylabel(r'$u_t$')\n", @@ -671,6 +668,18 @@ "display_name": "python3", "language": "python", "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.7" } }, "nbformat": 4, diff --git a/nbs/07_lens.ipynb b/nbs/07_lens.ipynb index e65fe38..861b6f5 100644 --- a/nbs/07_lens.ipynb +++ b/nbs/07_lens.ipynb @@ -129,6 +129,10 @@ "display_name": "python3", "language": "python", "name": "python3" + }, + "language_info": { + "name": "python", + "version": "3.9.7" } }, "nbformat": 4, diff --git a/nbs/08_galaxy.ipynb b/nbs/08_galaxy.ipynb index 084ba9d..3eedeba 100644 --- a/nbs/08_galaxy.ipynb +++ b/nbs/08_galaxy.ipynb @@ -206,6 +206,9 @@ " \n", " def velocity_dispersion_stars(self, r, v_c: float = 30):\n", " #Take 30 km/s following table 2 of https://arxiv.org/pdf/2306.12464.pdf\n", + " return v_c\n", + " \n", + " def velocity_dispersion_dm(self, r, v_c: float = 220):\n", " return v_c\n" ] }, @@ -266,6 +269,9 @@ " \n", " def velocity_dispersion_stars(self, r, v_c: float = 60) -> float:\n", " # Use 60 km/s for disk following https://iopscience.iop.org/article/10.1088/0004-637X/695/1/442/pdf\n", + " return v_c\n", + " \n", + " def velocity_dispersion_dm(self, r, v_c: float = 250):\n", " return v_c" ] }, @@ -453,6 +459,10 @@ "display_name": "python3", "language": "python", "name": "python3" + }, + "language_info": { + "name": "python", + "version": "3.9.7" } }, "nbformat": 4, diff --git a/nbs/index.ipynb b/nbs/index.ipynb index 6055f21..ff861e3 100644 --- a/nbs/index.ipynb +++ b/nbs/index.ipynb @@ -35,7 +35,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "\"logo\"" + "\"logo\"" ] }, { @@ -216,6 +216,10 @@ "display_name": "python3", "language": "python", "name": "python3" + }, + "language_info": { + "name": "python", + "version": "3.9.7" } }, "nbformat": 4, From 9fbed8a065f605040a7e348b4fe437a23cdd6159 Mon Sep 17 00:00:00 2001 From: Nolan Smyth Date: Tue, 5 Sep 2023 13:50:53 -0700 Subject: [PATCH 02/17] Updated tess estimates --- .gitignore | 2 + LensCalcPy/ffp.py | 8 +- LensCalcPy/pbh.py | 13 +- examples/expected_events_tess.ipynb | 2152 ++++++++++++++++++++++----- examples/mock_roman.ipynb | 199 ++- nbs/00_pbh.ipynb | 13 +- nbs/01_ffp.ipynb | 8 +- nbs/05_parameters.ipynb | 4 + 8 files changed, 1925 insertions(+), 474 deletions(-) diff --git a/.gitignore b/.gitignore index 5f112e2..95ff943 100644 --- a/.gitignore +++ b/.gitignore @@ -1,6 +1,8 @@ _docs/ _proc/ +examples/tess_dat + *.bak .gitattributes .last_checked diff --git a/LensCalcPy/ffp.py b/LensCalcPy/ffp.py index da06fc6..f88f842 100644 --- a/LensCalcPy/ffp.py +++ b/LensCalcPy/ffp.py @@ -100,12 +100,14 @@ def mass_func(self, log10m): m = 10**log10m return self.Z * (m/1)**-self.p - def differential_rate_integrand(self, umin, d, t, mf, model, finite=False, v_disp=None): + def differential_rate_integrand(self, umin, d, t, mf, model, finite=False, v_disp=None, t_e=False): r = model.dist_center(d, self.l, self.b) ut = self.umin_upper_bound(d, mf) if finite else self.u_t if ut <= umin: return 0 v_rad = velocity_radial(d, mf, umin, t * htosec, ut) + if t_e: + v_rad = v_rad/2 if v_disp is None: v_disp = model.velocity_dispersion_stars(r) return 2 * (1 / (ut**2 - umin**2)**0.5 * @@ -151,9 +153,9 @@ def differential_rate(self, t, integrand_func, finite=False): result *= self.Z # normalization return result - def differential_rate_mw(self, t, finite=True, v_disp=None): + def differential_rate_mw(self, t, finite=True, v_disp=None, t_e=False): def integrand_func(umin, d, mf, t): - return self.differential_rate_integrand(umin, d, t, mf, self.mw_model, finite=finite, v_disp=v_disp) + return self.differential_rate_integrand(umin, d, t, mf, self.mw_model, finite=finite, v_disp=v_disp, t_e=t_e) return self.differential_rate(t, integrand_func, finite=finite) def differential_rate_m31(self, t, finite=True, v_disp=None): diff --git a/LensCalcPy/pbh.py b/LensCalcPy/pbh.py index 35464cf..73eae6f 100644 --- a/LensCalcPy/pbh.py +++ b/LensCalcPy/pbh.py @@ -65,12 +65,15 @@ def __str__(self) -> str: return f"PBH population with mass={self.mass} and f_dm={self.f_dm}" __repr__ = __str__ - def differential_rate_integrand(self, umin, d, t, model, finite=False, v_disp=None): + def differential_rate_integrand(self, umin, d, t, model, finite=False, v_disp=None, t_e = False): r = model.dist_center(d, self.l, self.b) ut = self.umin_upper_bound(d) if finite else self.u_t if ut <= umin: return 0 + #! There is a relative factor of 2 u_t difference between t_e and t_fwhm for radial velocity! v_rad = velocity_radial(d, self.mass, umin, t * htosec, ut) + if t_e: + v_rad = v_rad / 2 if v_disp is None: v_disp = model.velocity_dispersion_dm(r) return 2 * (1 / (ut**2 - umin**2)**0.5 * @@ -144,8 +147,8 @@ def d_upper_bound(self): return d return self.ds - def rate_mw(self, finite=False): - return self.rate_total(self.differential_rate_integrand_mw, finite=finite) + def rate_mw(self, finite=False, tcad = 0.07, tobs = 3): + return self.rate_total(self.differential_rate_integrand_mw, finite=finite, tcad=tcad, tobs=tobs) def rate_m31(self, finite=False): result = self.rate_total(self.differential_rate_integrand_m31, finite=finite) @@ -160,9 +163,9 @@ def rate_tot(self, finite=False): # def differential_rate_mw(self, t, finite=False): # return self.differential_rate(t, self.differential_rate_integrand_mw, finite=finite) - def differential_rate_mw(self, t, finite=True, v_disp=None): + def differential_rate_mw(self, t, finite=True, v_disp=None, t_e=False): def integrand_func(umin, d, t): - return self.differential_rate_integrand(umin, d, t, self.mw_model, finite=finite, v_disp=v_disp) + return self.differential_rate_integrand(umin, d, t, self.mw_model, finite=finite, v_disp=v_disp, t_e = t_e) return self.differential_rate(t, integrand_func, finite=finite) # def differential_rate_m31(self, t, finite=False): diff --git a/examples/expected_events_tess.ipynb b/examples/expected_events_tess.ipynb index 5545d6b..2b439d9 100644 --- a/examples/expected_events_tess.ipynb +++ b/examples/expected_events_tess.ipynb @@ -1,5 +1,12 @@ { "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Initialization" + ] + }, { "cell_type": "code", "execution_count": 1, @@ -22,6 +29,7 @@ "import functools\n", "from scipy.stats import poisson\n", "import seaborn as sns\n", + "import os\n", "sns.set_palette(\"colorblind\")\n", "\n", "%load_ext autoreload\n", @@ -43,6 +51,75 @@ "execution_count": 3, "metadata": {}, "outputs": [], + "source": [ + "#TESS Central camera coordinates for each sector in RA, Dec\n", + "sector_coordinates = np.load('tess_dat/sector_coordinates.npy', allow_pickle=True).item()\n", + "\n", + "#Number of sources in each sector\n", + "sector_sources = np.load('tess_dat/sector_sources.npy', allow_pickle=True).item()\n" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "#Convert to galactic coordinates\n", + "sector_coordinates_galactic = {}\n", + "\n", + "def get_galactic_coords(ra, dec):\n", + " coord = SkyCoord(ra=ra*u.deg, dec=dec*u.deg, frame='icrs')\n", + " galactic_coord = coord.galactic\n", + " return galactic_coord.l.degree, galactic_coord.b.degree\n", + "\n", + "for sector in sector_coordinates.keys():\n", + " ra, dec = sector_coordinates[sector]\n", + " sector_coordinates_galactic[sector] = get_galactic_coords(ra, dec)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "def tess_efficiency(t):\n", + " '''\n", + " Takes in crossing time in hours and returns the efficiency of TESS\n", + " #Need to replace this eventually. Assume perfect efficiency for now\n", + " '''\n", + " return 1.0\n" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "def write_survey_params():\n", + " survey_params_dict = {}\n", + "\n", + " for sector in sector_sources.keys():\n", + " l, b = sector_coordinates_galactic[int(sector)]\n", + " if int(sector) <= 26:\n", + " cadence = 30/60\n", + " elif int(sector) >= 27 and int(sector) <= 55:\n", + " cadence = 10/60\n", + " else:\n", + " cadence = 3.3/60\n", + " survey_params_dict[sector] = {\"l\": l, \"b\": b, \"source_dist\": 1.5, \"obs_time\": 27.4*24, \"cadence\": cadence, \"survey_area\": 1.5, \"n_sources\": sector_sources[sector], \"efficiency\": tess_efficiency, \"use_mw_source\":True, \"A_t\": 1.01}\n", + " return survey_params_dict\n", + "\n", + "survey_params_dict = write_survey_params()" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], "source": [ "def plot_line_of_sight(s, ax):\n", " d_arr = np.linspace(1, s.source_dist, num=1000)\n", @@ -75,153 +152,133 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ - "def tess_efficiency(t):\n", - " '''\n", - " Takes in crossing time in hours and returns the efficiency of TESS\n", - " #Need to replace this eventually. Assume perfect efficiency for now\n", - " '''\n", - " return 1.0\n" + "n_params = len(survey_params_dict)\n", + "n_cols = 2\n", + "n_rows = (n_params + n_cols - 1) // n_cols\n", + "\n", + "# Create a figure\n", + "fig, axes = plt.subplots(n_rows, n_cols, figsize=(12, n_rows * 4))\n", + "axes = axes.flatten() \n", + "\n", + "# Loop through the parameter sets and create subplots\n", + "for i, param_set in enumerate(survey_params_dict.values()):\n", + " s = Survey(**param_set)\n", + " ax = axes[i]\n", + " plot_line_of_sight(s, ax)\n", + "\n", + "plt.tight_layout()" ] }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 8, "metadata": {}, "outputs": [], "source": [ - "tess_1_df = pd.read_csv('tess_dat/s0001.csv')\n", - "tess_27_df = pd.read_csv('tess_dat/s0027.csv')\n" + "#J-factor like metric to compare density of UBOs\n", + "def ubo_factor(s):\n", + " #integrated density of UBOs along line of sight (not include finite size effects)\n", + " d_arr = np.linspace(0, s.source_dist, 1000) #kpc\n", + " rho_ffp_mw = [s.mw_model.density_stars(d, l = s.l, b = s.b) for d in d_arr]\n", + " \n", + " rho_ffp_interp = interp1d(d_arr, rho_ffp_mw)\n", + "\n", + " return quad(rho_ffp_interp, 0, s.source_dist)[0] " ] }, { - "cell_type": "code", - "execution_count": 6, + "cell_type": "markdown", "metadata": {}, - "outputs": [], "source": [ - "n_sources_tess_1 = len(tess_1_df)\n", - "n_sources_tess_27 = len(tess_27_df)\n" + "## FFPs" ] }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 8, "metadata": {}, "outputs": [], "source": [ - "def get_galactic_coords(ra, dec):\n", - " coord = SkyCoord(ra=ra*u.deg, dec=dec*u.deg, frame='icrs')\n", - " galactic_coord = coord.galactic\n", - " return galactic_coord.l.degree, galactic_coord.b.degree" + "t_es = np.logspace(np.log10(3.3/60), np.log10(27.4*24), 30) #hours\n", + "ms = np.logspace(-12, -3, 30)" ] }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 59, "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "(72.16071690615225, 62.16907399101691)" - ] - }, - "execution_count": 8, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ - "get_galactic_coords(221.86, 41.76)" + "def get_n_events(s, p=1, finite=True):\n", + " s.add_ffp(p)\n", + " diff_rates_mw = np.array([s.ffp.differential_rate_mw_mass(m, finite=finite, efficiency=s.efficiency, tcad = s.cadence*2, tobs=s.obs_time) for m in ms])\n", + " diff_rates_interp_log = interp1d(np.log10(ms), np.log10(diff_rates_mw))\n", + " def diff_rates_interp(m):\n", + " return 10**diff_rates_interp_log(np.log10(m))\n", + " dnds = quad(diff_rates_interp, min(ms), max(ms), epsabs=0, epsrel=1e-1, points=[min(ms), np.median(ms), max(ms)])[0]\n", + " return s.n_sources*dnds*s.obs_time\n" ] }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 60, "metadata": {}, "outputs": [], "source": [ - "#Camera central coordinates for sector 1\n", - "fov_dict = {\"c_1_1\": (324.57, -33.17), \"c_1_2\": (338.58, -55.08), \"c_1_3\": (19.49, -71.98), \"c_1_4\": (90.00, -66.56),\n", - " \"c_27_1\": (301.60, -38.68), \"c_27_2\": (312.45, -61.74), \"c_27_3\": (8.60, -79.81), \"c_27_4\": (90.01, -66.56)}\n" + "s1 = Survey(**survey_params_dict[\"1\"])\n", + "s2 = Survey(**survey_params_dict[\"27\"])\n", + "s1.add_ffp(1)\n", + "s2.add_ffp(1)\n", + "diff_rates_mw1 = np.array([s1.ffp.differential_rate_mw_mass(m, efficiency=s1.efficiency, tcad = s1.cadence*2, tobs=s1.obs_time) for m in ms])\n", + "diff_rates_mw2 = np.array([s2.ffp.differential_rate_mw_mass(m, efficiency=s2.efficiency, tcad = s2.cadence*2, tobs=s2.obs_time) for m in ms])\n" ] }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 62, "metadata": {}, "outputs": [], "source": [ - "fov_galac_dict = {}\n", - "for cam in fov_dict.keys():\n", - " l, b = get_galactic_coords(fov_dict[cam][0],fov_dict[cam][1])\n", - " fov_galac_dict[cam] = [l,b]" + "diff_rates_interp_log = interp1d(np.log10(ms), np.log10(diff_rates_mw2))\n", + "def diff_rates_interp(m):\n", + " return 10**diff_rates_interp_log(np.log10(m))\n", + "dnds2 = quad(diff_rates_interp, min(ms), max(ms), epsabs=0, epsrel=1e-1, points=[min(ms), np.median(ms), max(ms)])[0]" ] }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 72, "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "{'c_1_1': [12.48454296055821, -48.17248553522726],\n", - " 'c_1_2': [335.0269214572734, -52.641078854533035],\n", - " 'c_1_3': [300.03646421703394, -44.99884771091424],\n", - " 'c_1_4': [276.38316044756886, -29.811440130322914],\n", - " 'c_27_1': [2.065463142346148, -30.543561066152407],\n", - " 'c_27_2': [334.2267863075157, -37.56880169013005],\n", - " 'c_27_3': [303.87823755587146, -37.28692726368817],\n", - " 'c_27_4': [276.38315898971274, -29.807462245454307]}" - ] - }, - "execution_count": 11, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ - "fov_galac_dict" + "def gamma_of_m(m):\n", + " return quad(diff_rates_interp, m*10**(-0.5), m*10**(0.5), epsabs=0, epsrel=1e-1, points=[min(ms), np.median(ms), max(ms)])[0]" ] }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 76, "metadata": {}, "outputs": [], "source": [ - "#! survey_area should really be diameter, but not used in any calculations\n", - "#! Need to create finite size calculation for TESS distances and sensitivity (1% magnification) and general u_t \n", - "\n", - "survey_param_dict = {\n", - " \"tess_1_1\": {\"l\": fov_galac_dict['c_1_1'][0], \"b\": fov_galac_dict['c_1_1'][1], \"source_dist\": 8.5, \"obs_time\": 27.4*24, \"cadence\": 30/60, \"survey_area\": 1.5, \"n_sources\": n_sources_tess_1/4, \"efficiency\": tess_efficiency, \"use_mw_source\":True, \"A_t\": 1.01},\n", - " \"tess_1_2\": {\"l\": fov_galac_dict['c_1_2'][0], \"b\": fov_galac_dict['c_1_2'][1], \"source_dist\": 8.5, \"obs_time\": 27.4*24, \"cadence\": 30/60, \"survey_area\": 1.5, \"n_sources\": n_sources_tess_1/4, \"efficiency\": tess_efficiency, \"use_mw_source\":True, \"A_t\": 1.01},\n", - " \"tess_1_3\": {\"l\": fov_galac_dict['c_1_3'][0], \"b\": fov_galac_dict['c_1_3'][1], \"source_dist\": 8.5, \"obs_time\": 27.4*24, \"cadence\": 30/60, \"survey_area\": 1.5, \"n_sources\": n_sources_tess_1/4, \"efficiency\": tess_efficiency, \"use_mw_source\":True, \"A_t\": 1.01},\n", - " \"tess_1_4\": {\"l\": fov_galac_dict['c_1_4'][0], \"b\": fov_galac_dict['c_1_4'][1], \"source_dist\": 8.5, \"obs_time\": 27.4*24, \"cadence\": 30/60, \"survey_area\": 1.5, \"n_sources\": n_sources_tess_1/4, \"efficiency\": tess_efficiency, \"use_mw_source\":True, \"A_t\": 1.01},\n", - " \"tess_27_1\": {\"l\": fov_galac_dict['c_27_1'][0], \"b\": fov_galac_dict['c_27_1'][1], \"source_dist\": 8.5, \"obs_time\": 27.4*24, \"cadence\": 10/60, \"survey_area\": 1.5, \"n_sources\": n_sources_tess_27/4, \"efficiency\": tess_efficiency, \"use_mw_source\":True, \"A_t\": 1.01},\n", - " \"tess_27_2\": {\"l\": fov_galac_dict['c_27_2'][0], \"b\": fov_galac_dict['c_27_2'][1], \"source_dist\": 8.5, \"obs_time\": 27.4*24, \"cadence\": 10/60, \"survey_area\": 1.5, \"n_sources\": n_sources_tess_27/4, \"efficiency\": tess_efficiency, \"use_mw_source\":True, \"A_t\": 1.01},\n", - " \"tess_27_3\": {\"l\": fov_galac_dict['c_27_3'][0], \"b\": fov_galac_dict['c_27_3'][1], \"source_dist\": 8.5, \"obs_time\": 27.4*24, \"cadence\": 10/60, \"survey_area\": 1.5, \"n_sources\": n_sources_tess_27/4, \"efficiency\": tess_efficiency, \"use_mw_source\":True, \"A_t\": 1.01},\n", - " # \"tess_27_4\": {\"l\": fov_galac_dict['c_27_4'][0], \"b\": fov_galac_dict['c_27_4'][1], \"source_dist\": 8.5, \"obs_time\": 27.4*24, \"cadence\": 10/60, \"survey_area\": 1.5, \"n_sources\": n_sources_tess_27/4, \"efficiency\": tess_efficiency, \"use_mw_source\":True, \"A_t\": 1.01},\n", - " \"tess_max_cad_test\": {\"l\": fov_galac_dict['c_27_4'][0], \"b\": fov_galac_dict['c_27_4'][1], \"source_dist\": 8.5, \"obs_time\": 27.4*24, \"cadence\": 3.3/60, \"survey_area\": 1.5, \"n_sources\": n_sources_tess_27/4, \"efficiency\": tess_efficiency, \"use_mw_source\":True, \"A_t\": 1.01},\n", - " \n", - "}" + "ms_limited = np.logspace(-11.5, -3.5, 100)\n", + "gamma_of_ms = np.array([gamma_of_m(m) for m in ms_limited])" ] }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 79, "metadata": {}, "outputs": [ { "data": { - "image/png": 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" ] }, "metadata": {}, @@ -229,338 +286,1525 @@ } ], "source": [ - "n_params = len(survey_param_dict)\n", - "n_cols = 2\n", - "n_rows = (n_params + n_cols - 1) // n_cols\n", - "\n", - "# Create a figure\n", - "fig, axes = plt.subplots(n_rows, n_cols, figsize=(12, n_rows * 4))\n", - "axes = axes.flatten() \n", - "\n", - "# Loop through the parameter sets and create subplots\n", - "for i, param_set in enumerate(survey_param_dict.values()):\n", - " s = Survey(**param_set)\n", - " ax = axes[i]\n", - " plot_line_of_sight(s, ax)\n", + "plt.plot(ms/3e-6, diff_rates_mw1, label=f\"Cadence = {s1.cadence*2:.2f}\")\n", + "plt.plot(ms/3e-6, diff_rates_mw2, label=f\"Cadence = {s2.cadence*2:.2f}\", ls='--')\n", + "plt.xscale(\"log\")\n", + "plt.yscale(\"log\")\n", + "plt.xlabel(r\"Mass [$M_\\oplus$]\")\n", + "plt.ylabel(r\"$d\\Gamma/dM$ [events/star/hr/mass]\")\n", "\n", - "plt.tight_layout()" - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "metadata": {}, - "outputs": [], - "source": [ - "#J-factor like metric to compare density of UBOs\n", - "def ubo_factor(s):\n", - " #integrated density of UBOs along line of sight (not include finite size effects)\n", - " d_arr = np.linspace(0, s.source_dist, 1000) #kpc\n", - " rho_ffp_mw = [s.mw_model.density_stars(d, l = s.l, b = s.b) for d in d_arr]\n", - " \n", - " rho_ffp_interp = interp1d(d_arr, rho_ffp_mw)\n", + "plt.ylim(1e-17, 1e-11)\n", "\n", - " return quad(rho_ffp_interp, 0, s.source_dist)[0] " + "plt.legend()\n", + "plt.show()" ] }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 82, "metadata": {}, "outputs": [ { "data": { + "image/png": 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", "text/plain": [ - "(342.5953166917298, 4.609679258782221)" + "
" ] }, - "execution_count": 15, "metadata": {}, - "output_type": "execute_result" + "output_type": "display_data" } ], "source": [ - "get_galactic_coords(249.34, -40.26)\n" + "plt.plot(ms_limited/3e-6, gamma_of_ms)\n", + "plt.xscale(\"log\")\n", + "plt.yscale(\"log\")\n", + "plt.xlabel(r\"Mass [$M_\\oplus$]\")\n", + "plt.ylabel(r\"$\\Gamma(M)$ [events/star/hr]\")\n", + "plt.ylim(1e-24, 1e-21)\n", + "plt.show()" ] }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 66, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ - "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_9682/3764316714.py:6: IntegrationWarning: The maximum number of subdivisions (50) has been achieved.\n", - " If increasing the limit yields no improvement it is advised to analyze \n", - " the integrand in order to determine the difficulties. If the position of a \n", - " local difficulty can be determined (singularity, discontinuity) one will \n", - " probably gain from splitting up the interval and calling the integrator \n", - " on the subranges. Perhaps a special-purpose integrator should be used.\n", - " quad(rho_ffp_interp, 0, s.source_dist)[0]\n" + "100%|██████████| 30/30 [02:30<00:00, 5.02s/it]\n", + "100%|██████████| 30/30 [01:13<00:00, 2.45s/it]\n" ] - }, - { - "data": { - "text/plain": [ - "356283464.89542794" - ] - }, - "execution_count": 16, - "metadata": {}, - "output_type": "execute_result" } ], "source": [ - "d_arr = np.linspace(0, 8.5, 1000) #kpc\n", - "rho_ffp_mw = [s.mw_model.density_stars(d, l = 342.5953166917298, b = 4.609679258782221) for d in d_arr]\n", - "\n", - "rho_ffp_interp = interp1d(d_arr, rho_ffp_mw)\n", - "\n", - "quad(rho_ffp_interp, 0, s.source_dist)[0] " - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Expected number of events" - ] - }, - { - "cell_type": "code", - "execution_count": 17, - "metadata": {}, - "outputs": [], - "source": [ - "# t_es = np.logspace(-2, 1, 20) #hours" - ] - }, - { - "cell_type": "code", - "execution_count": 18, - "metadata": {}, - "outputs": [], - "source": [ - "# def get_n_events(s, p=1, finite=True):\n", - "# #get expected number of events for pdf-powerlaw. Note that you need to normalize this\n", - "# t_es = np.logspace(np.log10(s.cadence*2), np.log10(s.obs_time/2), 30) \n", - "# s.add_ffp(p)\n", - "# diff_rates = s.get_crossing_times_rates_ffp(t_es, finite=finite)\n", - "# # efficiencies = np.array([ogle_efficiency(t_e) for t_e in t_es])\n", - "# efficiencies = np.array([s.efficiency(t_e) for t_e in t_es])\n", - "# diff_rates_w_efficiency = diff_rates*efficiencies\n", - "# # rate_interp = interp1d(t_es, diff_rates)\n", - "# rate_interp = interp1d(t_es, diff_rates_w_efficiency)\n", - "# if s.cadence*2 > s.obs_time/2:\n", - "# raise ValueError(\"Cadence is too short relative to total observation time\")\n", - "# #? using 2x the cadence and 1/2 the observation time for now. Comparable to Fig 18 of https://arxiv.org/pdf/1701.02151.pdf sensitivity\n", - "# dnds = quad(rate_interp, s.cadence*2, s.obs_time/2)[0]\n", - "# # return s.n_sources*s.efficiency*dnds*s.obs_time\n", - "# return s.n_sources*dnds*s.obs_time\n" - ] - }, - { - "cell_type": "code", - "execution_count": 19, - "metadata": {}, - "outputs": [], - "source": [ - "ms = np.logspace(-12, -3, 20)\n", - "def get_n_events(s, p=1, finite=True):\n", - " s.add_ffp(p)\n", - " diff_rates_mw = np.array([s.ffp.differential_rate_mw_mass(m, efficiency=s.efficiency, tcad = s.cadence*2, tobs=s.obs_time) for m in ms])\n", - " diff_rates_interp_log = interp1d(np.log10(ms), np.log10(diff_rates_mw))\n", - " def diff_rates_interp(m):\n", - " return 10**diff_rates_interp_log(np.log10(m))\n", - " dnds = quad(diff_rates_interp, min(ms), max(ms), epsabs=0, epsrel=1e-1, points=[min(ms), np.median(ms), max(ms)])[0]\n", - " return s.n_sources*dnds*s.obs_time\n" + "diff_rates_t_1_finite = np.array([s1.ffp.differential_rate_mw(t, finite=True, v_disp=None, t_e=False) for t in tqdm(t_es)])\n", + "diff_rates_t_1_point = np.array([s1.ffp.differential_rate_mw(t, finite=False, v_disp=None, t_e=False) for t in tqdm(t_es)])" ] }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 83, "metadata": {}, "outputs": [], "source": [ - "s1 = Survey(**survey_param_dict[\"tess_1_1\"])\n", - "s2 = Survey(**survey_param_dict[\"tess_27_3\"])\n", - "s1.add_ffp(1)\n", - "s2.add_ffp(1)\n", - "diff_rates_mw1 = np.array([s1.ffp.differential_rate_mw_mass(m, efficiency=s1.efficiency, tcad = s1.cadence*2, tobs=s1.obs_time) for m in ms])\n", - "diff_rates_mw2 = np.array([s2.ffp.differential_rate_mw_mass(m, efficiency=s2.efficiency, tcad = s2.cadence*2, tobs=s2.obs_time) for m in ms])\n" + "diff_rates_t_interp_log = interp1d(np.log10(t_es), np.log10(diff_rates_t_1_finite))\n", + "def diff_rates_t_interp(t):\n", + " return 10**diff_rates_t_interp_log(np.log10(t))" ] }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 86, "metadata": {}, "outputs": [], "source": [ - "diff_rates_interp_log = interp1d(np.log10(ms), np.log10(diff_rates_mw1))\n", - "def diff_rates_interp(m):\n", - " return 10**diff_rates_interp_log(np.log10(m))\n", - "dnds1 = quad(diff_rates_interp, min(ms), max(ms), epsabs=0, epsrel=1e-1, points=[min(ms), np.median(ms), max(ms)])[0]" + "def gamma_of_t(t):\n", + " return quad(diff_rates_t_interp, t*10**(-0.5), t*10**(0.5), epsabs=0, epsrel=1e-1)[0]" ] }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 90, "metadata": {}, "outputs": [], "source": [ - "diff_rates_interp_log = interp1d(np.log10(ms), np.log10(diff_rates_mw2))\n", - "def diff_rates_interp(m):\n", - " return 10**diff_rates_interp_log(np.log10(m))\n", - "dnds2 = quad(diff_rates_interp, min(ms), max(ms), epsabs=0, epsrel=1e-1, points=[min(ms), np.median(ms), max(ms)])[0]" + "ts_limited = np.logspace(np.log10(3.3/60 * 10**(0.5)), np.log10(27.4*24 * 10**(-0.5)), 100)\n", + "gamma_of_ts = np.array([gamma_of_t(t) for t in ts_limited])" ] }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 67, "metadata": {}, "outputs": [ { "data": { + "image/png": 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", "text/plain": [ - "1.1022634201901715e-18" + "
" ] }, - "execution_count": 23, "metadata": {}, - "output_type": "execute_result" + "output_type": "display_data" } ], "source": [ - "s1.ffp.differential_rate_integrand(0.1, 3, 1, 1e-9, s1.ffp.mw_model)" + "plt.plot(t_es, diff_rates_t_1_finite, label=f\"Finite\")\n", + "plt.plot(t_es, diff_rates_t_1_point, label=f\"Point\", ls='--')\n", + "plt.xscale(\"log\")\n", + "plt.yscale(\"log\")\n", + "plt.xlabel(r\"$t_{\\rm{fwhm}}$ [hr]\")\n", + "plt.ylabel(r\"$d\\Gamma/dt$ [events/star/hr/hr]\")\n", + "\n", + "# plt.ylim(1e-17, 1e-11)\n", + "\n", + "plt.legend()\n", + "plt.show()" ] }, { "cell_type": "code", - "execution_count": 24, + "execution_count": 100, "metadata": {}, "outputs": [ { "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(ts_limited, gamma_of_ts)\n", + "\n", + "plt.axvline(3.3/60, ls='--', color='k')\n", + "plt.axvline(27.4*24, ls='--', color='k')\n", + "\n", + "plt.xlim(min(ts_limited), max(ts_limited))\n", + "plt.ylim(1e-24, 1e-21)\n", + "plt.xscale(\"log\")\n", + "plt.yscale(\"log\")\n", + "plt.xlabel(r\"$t_{\\rm{fwhm}}$ [hr]\")\n", + "plt.ylabel(r\"$\\Gamma(t)$ [events/star/hr]\")\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [], + "source": [ + "def get_num_events_fiducial(s, finite=True):\n", + "\n", + " #power law, normalization, and normalization mass for fiducial mass function\n", + " p = 1\n", + " Z_fiducial = 10\n", + " M_norm = 3e-6 #earth mass in solar mass units\n", + "\n", + " #number of events for a power law normalized to 1 UBO per star total\n", + " n_events = get_n_events(s, p=p, finite=finite)\n", + "\n", + " #rescale normalization of pdf to M_norm = earth mass if not already\n", + " z_earth = s.ffp.Z*(M_norm/s.ffp.M_norm)**(-p) \n", + "\n", + " #number of objects per star for fiducial mass function at 1 earth mass\n", + "\n", + " num_events_fiducial = n_events * Z_fiducial/z_earth\n", + "\n", + " return num_events_fiducial" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 62/62 [33:24<00:00, 32.32s/it] \n" + ] + } + ], + "source": [ + "def compute_expected_num_events(survey_name_and_params):\n", + " survey_name, param_set = survey_name_and_params\n", + " s = Survey(**param_set)\n", + " expected_num_events_finite = get_num_events_fiducial(s, finite=True)\n", + " expected_num_events_point = get_num_events_fiducial(s, finite=False)\n", + " return survey_name, expected_num_events_finite, expected_num_events_point\n", + "\n", + "survey_name_and_params_list = [(survey_name, params) for survey_name, params in survey_params_dict.items()]\n", + "\n", + "with Pool() as pool:\n", + " results = list(tqdm(pool.imap(compute_expected_num_events, survey_name_and_params_list), total=len(survey_name_and_params_list)))\n" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [], + "source": [ + "num_events_dict = {}\n", + "num_events_point_dict = {}\n", + "\n", + "for survey_name, expected_num_events_finite, expected_num_point_events in results:\n", + " num_events_dict[survey_name] = expected_num_events_finite\n", + " num_events_point_dict[survey_name] = expected_num_point_events" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_51131/3079570761.py:9: IntegrationWarning: The occurrence of roundoff error is detected, which prevents \n", + " the requested tolerance from being achieved. The error may be \n", + " underestimated.\n", + " return quad(rho_ffp_interp, 0, s.source_dist)[0]\n" + ] + } + ], + "source": [ + "ubo_factor_dict = {}\n", + "for i, survey_name in enumerate(survey_params_dict.keys()):\n", + " param_set = survey_params_dict[survey_name]\n", + " s = Survey(**param_set)\n", + " ubo_factor_dict[survey_name] = ubo_factor(s)" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [], + "source": [ + "# Create a list of dictionaries for the table\n", + "table_data = []\n", + "for survey_name, param_set in survey_params_dict.items():\n", + " row = {\n", + " \"Survey\": survey_name,\n", + " \"l\": param_set[\"l\"],\n", + " \"b\": param_set[\"b\"],\n", + " \"n_sources\": param_set[\"n_sources\"],\n", + " \"ubo_factor\": ubo_factor_dict[survey_name],\n", + " \"obs_time\": param_set[\"obs_time\"],\n", + " # \"num_expected_events_tot\": num_events_dict[survey_name],\n", + " \"N/h finite\": float(num_events_dict[survey_name]) / float(param_set[\"obs_time\"]),\n", + " # \"num_expected_events_point_tot\": num_events_point_dict[survey_name],\n", + " \"N/h point\": float(num_events_point_dict[survey_name]) / float(param_set[\"obs_time\"]),\n", + " \"finite_factor\": (float(num_events_dict[survey_name]) / float(param_set[\"obs_time\"]))/(float(num_events_point_dict[survey_name]) / float(param_set[\"obs_time\"]))\n", + "\n", + " }\n", + " table_data.append(row)\n", + "\n", + "df = pd.DataFrame(table_data)\n", + "df = df[[\"Survey\", \"l\", \"b\", \"n_sources\", \"ubo_factor\", \"obs_time\", \"N/h finite\", \"N/h point\", \"finite_factor\"]]\n" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + 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Survey Parameters and Expected Events
 Surveylbn_sourcesubo_factorobs_timeN/h finiteN/h pointfinite_factor
021136.449.73.5e+051.8e+07657.64.5e-073.7e-071.2e+00
135261.23.11.1e+065.7e+07657.65.0e-062.4e-052.1e-01
29271.85.91.2e+065.8e+07657.64.8e-068.7e-065.5e-01
38257.31.21.2e+065.6e+07657.64.6e-068.4e-065.5e-01
434248.3-5.41.3e+065.1e+07657.65.3e-062.4e-052.2e-01
520138.732.85.4e+052.4e+07657.69.4e-079.5e-079.9e-01
636276.16.21.2e+065.9e+07657.65.7e-062.7e-052.1e-01
722117.463.23.0e+051.6e+07657.63.3e-072.5e-071.3e+00
82379.664.23.1e+051.6e+07657.63.5e-072.6e-071.3e+00
937290.93.41.6e+066.8e+07657.68.4e-064.4e-051.9e-01
1033238.7-18.51.1e+063.5e+07657.63.5e-061.2e-053.0e-01
1127319.0-38.46.3e+052.5e+07657.61.5e-063.5e-064.2e-01
122690.629.64.9e+052.8e+07657.61.0e-061.1e-069.2e-01
1332233.9-34.55.6e+052.4e+07657.61.2e-063.0e-064.1e-01
1418124.25.19.8e+054.8e+07657.63.4e-065.8e-065.9e-01
152492.633.67.5e+052.6e+07657.61.4e-061.4e-069.9e-01
1630257.7-63.83.5e+051.6e+07657.65.2e-078.9e-075.9e-01
1731237.2-51.24.3e+051.8e+07657.67.2e-071.4e-065.3e-01
182591.031.86.3e+052.7e+07657.61.3e-061.3e-069.6e-01
1919133.517.48.9e+053.5e+07657.62.3e-063.1e-067.4e-01
2042123.2-56.53.6e+051.7e+07657.65.7e-071.0e-065.6e-01
215691.7-4.41.1e+065.8e+07657.65.5e-067.9e-056.9e-02
2257107.5-3.01.1e+065.4e+07657.64.8e-066.7e-057.1e-02
2343164.6-31.86.9e+052.4e+07657.61.5e-063.5e-064.3e-01
245577.1-1.11.4e+066.6e+07657.67.1e-063.7e-051.9e-01
254192.426.31.3e+063.1e+07657.63.7e-061.0e-053.6e-01
264091.028.21.0e+062.9e+07657.62.8e-067.3e-063.8e-01
275465.28.71.9e+066.1e+07657.69.5e-064.6e-052.1e-01
285072.262.23.7e+051.7e+07657.65.7e-071.0e-065.8e-01
2944185.60.08.5e+054.4e+07657.63.1e-061.3e-052.4e-01
3045206.732.47.5e+052.4e+07657.61.7e-063.8e-064.3e-01
315156.449.74.4e+052.0e+07657.68.1e-071.6e-065.1e-01
3247139.037.25.1e+052.2e+07657.61.0e-062.4e-064.4e-01
335390.729.38.1e+052.8e+07657.62.1e-065.5e-063.9e-01
345290.931.46.8e+052.7e+07657.61.7e-064.2e-064.1e-01
3546233.452.83.5e+051.8e+07657.65.8e-071.1e-065.4e-01
3662264.22.71.1e+065.8e+07657.65.3e-067.7e-056.9e-02
3760136.731.46.2e+052.5e+07657.61.5e-061.1e-051.4e-01
3848133.653.93.8e+051.7e+07657.66.1e-071.1e-065.5e-01
3949108.265.03.5e+051.6e+07657.65.2e-078.7e-075.9e-01
4061251.4-4.61.3e+065.3e+07657.65.7e-067.9e-057.3e-02
4159131.517.19.5e+053.6e+07657.63.2e-063.2e-059.9e-02
4258121.64.81.1e+064.9e+07657.64.5e-065.9e-057.5e-02
431492.026.61.3e+063.1e+07657.62.9e-063.3e-068.7e-01
4428314.5-52.74.3e+051.9e+07657.67.7e-071.5e-065.2e-01
4529294.6-63.93.6e+051.7e+07657.65.6e-079.7e-075.8e-01
461594.025.31.1e+063.2e+07657.62.6e-063.0e-068.4e-01
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..............................
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62 rows × 9 columns

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" + ], "text/plain": [ - "1.2669100417706397e-18" + " Survey l b n_sources ubo_factor obs_time \\\n", + "61 38 304.015069 -4.982319 2017423 7.127044e+07 657.6 \n", + "52 12 312.071468 -14.931531 2857972 5.239483e+07 657.6 \n", + "58 11 301.382739 -2.713255 2111868 7.305856e+07 657.6 \n", + "56 39 313.734112 -17.869120 2619851 4.678361e+07 657.6 \n", + "27 54 65.228332 8.684376 1946592 6.121161e+07 657.6 \n", + ".. ... ... ... ... ... ... \n", + "0 21 136.406300 49.676537 350200 1.823455e+07 657.6 \n", + "50 2 298.145728 -62.970482 379332 1.679713e+07 657.6 \n", + "8 23 79.613608 64.211895 311543 1.642296e+07 657.6 \n", + "7 22 117.364762 63.204522 303773 1.614901e+07 657.6 \n", + "49 3 261.378822 -64.553113 205735 1.617388e+07 657.6 \n", + "\n", + " N/h finite N/h point finite_factor \n", + "61 1.112640e-05 5.880797e-05 0.189199 \n", + "52 1.099066e-05 1.762349e-05 0.623637 \n", + "58 1.066943e-05 2.168775e-05 0.491956 \n", + "56 1.051067e-05 3.936883e-05 0.266979 \n", + "27 9.533537e-06 4.558957e-05 0.209117 \n", + ".. ... ... ... \n", + "0 4.485973e-07 3.672894e-07 1.221373 \n", + "50 4.362120e-07 3.312015e-07 1.317059 \n", + "8 3.482488e-07 2.620756e-07 1.328811 \n", + "7 3.329003e-07 2.501917e-07 1.330581 \n", + "49 2.256655e-07 1.690402e-07 1.334981 \n", + "\n", + "[62 rows x 9 columns]" ] }, - "execution_count": 24, + "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "s2.ffp.differential_rate_integrand(0.1, 3, 1, 1e-9, s1.ffp.mw_model)\n" + "df.sort_values(by=\"N/h finite\", ascending=False)" ] }, { "cell_type": "code", - "execution_count": 25, + "execution_count": 23, "metadata": {}, "outputs": [ { "data": { - "image/png": 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Surveylbn_sourcesubo_factorobs_timeN/h finiteN/h pointfinite_factor
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..............................
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62 rows × 9 columns

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" + " Survey l b n_sources ubo_factor obs_time \\\n", + "52 12 312.071468 -14.931531 2857972 5.239483e+07 657.6 \n", + "56 39 313.734112 -17.869120 2619851 4.678361e+07 657.6 \n", + "58 11 301.382739 -2.713255 2111868 7.305856e+07 657.6 \n", + "61 38 304.015069 -4.982319 2017423 7.127044e+07 657.6 \n", + "27 54 65.228332 8.684376 1946592 6.121161e+07 657.6 \n", + ".. ... ... ... ... ... ... \n", + "16 30 257.744145 -63.799651 346791 1.623058e+07 657.6 \n", + "39 49 108.236383 65.047411 346231 1.601694e+07 657.6 \n", + "8 23 79.613608 64.211895 311543 1.642296e+07 657.6 \n", + "7 22 117.364762 63.204522 303773 1.614901e+07 657.6 \n", + "49 3 261.378822 -64.553113 205735 1.617388e+07 657.6 \n", + "\n", + " N/h finite N/h point finite_factor \n", + "52 1.099066e-05 1.762349e-05 0.623637 \n", + "56 1.051067e-05 3.936883e-05 0.266979 \n", + "58 1.066943e-05 2.168775e-05 0.491956 \n", + "61 1.112640e-05 5.880797e-05 0.189199 \n", + "27 9.533537e-06 4.558957e-05 0.209117 \n", + ".. ... ... ... \n", + "16 5.248807e-07 8.940161e-07 0.587104 \n", + "39 5.167360e-07 8.718453e-07 0.592692 \n", + "8 3.482488e-07 2.620756e-07 1.328811 \n", + "7 3.329003e-07 2.501917e-07 1.330581 \n", + "49 2.256655e-07 1.690402e-07 1.334981 \n", + "\n", + "[62 rows x 9 columns]" ] }, + "execution_count": 23, "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "plt.plot(ms/3e-6, diff_rates_mw1, label=f\"Cadence = {s1.cadence*2:.2f}\")\n", - "plt.plot(ms/3e-6, diff_rates_mw2, label=f\"Cadence = {s2.cadence*2:.2f}\", ls='--')\n", - "plt.xscale(\"log\")\n", - "plt.yscale(\"log\")\n", - "plt.xlabel(r\"Mass [$M_\\oplus$]\")\n", - "plt.ylabel(r\"$d\\Gamma/dM$ [events/star/hr/mass]\")\n", - "\n", - "plt.ylim(1e-17, 1e-11)\n", - "\n", - "plt.legend()\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "## 30 knm/s for vc, put everything at 1.5 kpc, use central telescope fov, run " - ] - }, - { - "cell_type": "code", - "execution_count": 26, - "metadata": {}, - "outputs": [], - "source": [ - "def get_num_events_fiducial(s, finite=True):\n", - "\n", - " #power law, normalization, and normalization mass for fiducial mass function\n", - " p = 1\n", - " Z_fiducial = 10\n", - " M_norm = 3e-6 #earth mass in solar mass units\n", - "\n", - " #number of events for a power law normalized to 1 UBO per star total\n", - " #! Check that this is using the correct l and b\n", - " n_events = get_n_events(s, p=p, finite=finite)\n", - "\n", - " #rescale normalization of pdf to M_norm = earth mass if not already\n", - " z_earth = s.ffp.Z*(M_norm/s.ffp.M_norm)**(-p) \n", - "\n", - " #number of objects per star for fiducial mass function at 1 earth mass\n", - "\n", - " num_events_fiducial = n_events * Z_fiducial/z_earth\n", - "\n", - " return num_events_fiducial" - ] - }, - { - "cell_type": "code", - "execution_count": 27, - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "100%|██████████| 8/8 [04:16<00:00, 32.10s/it] \n" - ] + "output_type": "execute_result" } ], "source": [ - "def compute_expected_num_events(survey_name_and_params):\n", - " survey_name, param_set = survey_name_and_params\n", - " s = Survey(**param_set)\n", - " expected_num_events_finite = get_num_events_fiducial(s, finite=True)\n", - " expected_num_events_point = get_num_events_fiducial(s, finite=False)\n", - " return survey_name, expected_num_events_finite, expected_num_events_point\n", - "\n", - "survey_name_and_params_list = [(survey_name, params) for survey_name, params in survey_param_dict.items()]\n", - "\n", - "with Pool() as pool:\n", - " results = list(tqdm(pool.imap(compute_expected_num_events, survey_name_and_params_list), total=len(survey_name_and_params_list)))\n" - ] - }, - { - "cell_type": "code", - "execution_count": 28, - "metadata": {}, - "outputs": [], - "source": [ - "num_events_dict = {}\n", - "num_events_point_dict = {}\n", - "\n", - "for survey_name, expected_num_events_finite, expected_num_point_events in results:\n", - " num_events_dict[survey_name] = expected_num_events_finite\n", - " num_events_point_dict[survey_name] = expected_num_point_events" + "df.sort_values(by=\"n_sources\", ascending=False)" ] }, { @@ -569,51 +1813,17 @@ "metadata": {}, "outputs": [ { - "name": "stderr", + "name": "stdout", "output_type": "stream", "text": [ - "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_9682/3079570761.py:9: IntegrationWarning: The occurrence of roundoff error is detected, which prevents \n", - " the requested tolerance from being achieved. The error may be \n", - " underestimated.\n", - " return quad(rho_ffp_interp, 0, s.source_dist)[0]\n" + "total events finite: 0.12970029219887927\n", + "total events point: 0.5918285497885327\n" ] } ], "source": [ - "ubo_factor_dict = {}\n", - "for i, survey_name in enumerate(survey_param_dict.keys()):\n", - " param_set = survey_param_dict[survey_name]\n", - " s = Survey(**param_set)\n", - " ubo_factor_dict[survey_name] = ubo_factor(s)" - ] - }, - { - "cell_type": "code", - "execution_count": 30, - "metadata": {}, - "outputs": [], - "source": [ - "# Create a list of dictionaries for the table\n", - "table_data = []\n", - "for survey_name, param_set in survey_param_dict.items():\n", - " row = {\n", - " \"Survey\": survey_name,\n", - " \"l\": param_set[\"l\"],\n", - " \"b\": param_set[\"b\"],\n", - " \"n_sources\": param_set[\"n_sources\"],\n", - " \"ubo_factor\": ubo_factor_dict[survey_name],\n", - " \"obs_time\": param_set[\"obs_time\"],\n", - " # \"num_expected_events_tot\": num_events_dict[survey_name],\n", - " \"N/h finite\": float(num_events_dict[survey_name]) / float(param_set[\"obs_time\"]),\n", - " # \"num_expected_events_point_tot\": num_events_point_dict[survey_name],\n", - " \"N/h point\": float(num_events_point_dict[survey_name]) / float(param_set[\"obs_time\"]),\n", - " \"finite_factor\": (float(num_events_dict[survey_name]) / float(param_set[\"obs_time\"]))/(float(num_events_point_dict[survey_name]) / float(param_set[\"obs_time\"]))\n", - "\n", - " }\n", - " table_data.append(row)\n", - "\n", - "df = pd.DataFrame(table_data)\n", - "df = df[[\"Survey\", \"l\", \"b\", \"n_sources\", \"ubo_factor\", \"obs_time\", \"N/h finite\", \"N/h point\", \"finite_factor\"]]\n" + "print(\"total events finite: \" + str((df['N/h finite'] * df['obs_time']).sum()))\n", + "print(\"total events point: \" + str((df['N/h point'] * df['obs_time']).sum()))\n" ] }, { @@ -788,103 +1998,259 @@ ")\n", "\n", "styled_df\n", + "#! WHy doesn't ubo_factor seem to matter much?\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## PBH Estimates" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "ename": "NameError", + "evalue": "name 's' is not defined", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_8032/1859136580.py\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0ms\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0madd_pbh\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m1e-5\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 2\u001b[0m \u001b[0mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mpbh\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mrate_tot\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mfinite\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mTrue\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;31m#num events per hour observed per source\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3\u001b[0m \u001b[0mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mn_sources\u001b[0m \u001b[0;34m*\u001b[0m \u001b[0ms\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mpbh\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mrate_tot\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mfinite\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mTrue\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m*\u001b[0m \u001b[0ms\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mobs_time\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;31m#total number of events observed\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mNameError\u001b[0m: name 's' is not defined" + ] + } + ], + "source": [ + "s.add_pbh(1e-5)\n", + "print(s.pbh.rate_tot(finite=True)) #num events per hour observed per source\n", + "print(s.n_sources * s.pbh.rate_tot(finite=True) * s.obs_time) #total number of events observed" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [], + "source": [ + "def get_n_events_pbh(m, finite=True):\n", + " s.add_pbh(m)\n", + " dnds = s.pbh.rate_mw(finite=finite, tcad= s.cadence, tobs= s.obs_time) #! Need to add t_cad and t_obs to rate_mw here\n", + " # return s.n_sources*s.efficiency*dnds*s.obs_time\n", + " return s.n_sources* 1 *dnds*s.obs_time\n", "\n", - "#! WHy doesn't ubo_factor seem to matter much?" + "def get_constraint_fdm(m, finite=True):\n", + " n_events = get_n_events_pbh(m, finite=finite)\n", + " if n_events != 0:\n", + " return 4.74/n_events\n", + " else:\n", + " return 1\n", + " \n", + "def get_n_events_pbh_s(survey_name_and_params, finite=True):\n", + " #Get the number of events for monochromatic pbh spectrum for each value of m\n", + " survey_name, param_set = survey_name_and_params\n", + " s = Survey(**param_set)\n", + " n_events_ms = []\n", + " for m in ms:\n", + " s.add_pbh(m)\n", + " dnds = s.pbh.rate_mw(finite=finite, tcad= s.cadence, tobs= s.obs_time) #! Need to add t_cad and t_obs to rate_mw here\n", + " n_events_ms.append(s.n_sources* 1 *dnds*s.obs_time)\n", + " n_events_ms = np.array(n_events_ms)\n", + " return n_events_ms\n" ] }, { "cell_type": "code", - "execution_count": 75, + "execution_count": 121, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "0.21569279999999996" + "array([1.90837506e-14, 4.08596756e-13, 7.46896167e-12, 1.10342863e-10,\n", + " 1.73437585e-09, 3.10134337e-08, 5.28614483e-07, 9.07126545e-06,\n", + " 1.55463627e-04, 2.53138010e-03, 4.07048080e-02, 5.27095412e-01,\n", + " 5.08323324e+00, 2.51596463e+01, 5.31584616e+01, 6.45070241e+01,\n", + " 5.92970569e+01, 4.92048274e+01, 3.72968291e+01, 2.71932363e+01,\n", + " 1.98190820e+01, 1.40114719e+01, 9.11567372e+00, 7.09945737e+00,\n", + " 4.90895579e+00, 3.33144340e+00, 2.37780437e+00, 1.65006656e+00,\n", + " 1.15736538e+00, 8.08703359e-01])" ] }, - "execution_count": 75, + "execution_count": 121, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "#rough estimate of total # events for all fOv of tess\n", - "657.6 * 4 * (25 * 4.0e-07 + 25 * 1.8e-06 + 10*2.7e-06)" + "get_n_events_pbh_s(survey_name_and_params_list[-1])" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + " 19%|█▉ | 12/62 [01:45<05:06, 6.14s/it]/Users/nolansmyth/opt/anaconda3/lib/python3.9/site-packages/scipy/integrate/quadpack.py:879: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", + " quad_r = quad(f, low, high, args=args, full_output=self.full_output,\n", + "/Users/nolansmyth/opt/anaconda3/lib/python3.9/site-packages/scipy/integrate/quadpack.py:879: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", + " quad_r = quad(f, low, high, args=args, full_output=self.full_output,\n", + " 52%|█████▏ | 32/62 [03:40<02:16, 4.55s/it]/Users/nolansmyth/opt/anaconda3/lib/python3.9/site-packages/scipy/integrate/quadpack.py:879: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", + " quad_r = quad(f, low, high, args=args, full_output=self.full_output,\n", + "/Users/nolansmyth/opt/anaconda3/lib/python3.9/site-packages/scipy/integrate/quadpack.py:879: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", + " quad_r = quad(f, low, high, args=args, full_output=self.full_output,\n", + " 60%|█████▉ | 37/62 [04:26<03:00, 7.23s/it]/Users/nolansmyth/opt/anaconda3/lib/python3.9/site-packages/scipy/integrate/quadpack.py:879: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", + " quad_r = quad(f, low, high, args=args, full_output=self.full_output,\n", + "/Users/nolansmyth/opt/anaconda3/lib/python3.9/site-packages/scipy/integrate/quadpack.py:879: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", + " quad_r = quad(f, low, high, args=args, full_output=self.full_output,\n", + "/Users/nolansmyth/opt/anaconda3/lib/python3.9/site-packages/scipy/integrate/quadpack.py:879: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", + " quad_r = quad(f, low, high, args=args, full_output=self.full_output,\n", + "100%|██████████| 62/62 [07:06<00:00, 6.88s/it]\n" + ] + } + ], + "source": [ + "survey_name_and_params_list = [(survey_name, params) for survey_name, params in survey_params_dict.items()]\n", + "\n", + "with Pool() as pool:\n", + " results_pbh = np.array(list(tqdm(pool.imap(get_n_events_pbh_s, survey_name_and_params_list), total=len(survey_name_and_params_list))))" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "num_events_pbh_dict = {}\n", + "num_events_point_dict = {}\n", + "\n", + "for survey_name, expected_num_events_finite, expected_num_point_events in results:\n", + " num_events_dict[survey_name] = expected_num_events_finite\n", + " num_events_point_dict[survey_name] = expected_num_point_events" ] }, { "cell_type": "code", - "execution_count": 44, + "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "0.0001636718405503131" + "(62, 30)" ] }, - "execution_count": 44, + "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "vc = 30\n", - "dlstar = 1\n", - "tmin = 0.07\n", - "c = 3e8\n", - "GG = 6.67e-11\n", - "\n", - "vc**2 * tmin**2/(16 * GG * dlstar) * 2.626 * 10**(-6)* c**2 / (1.989 * 10**30)/(3e-6)" + "results_pbh.shape" ] }, { "cell_type": "code", - "execution_count": 63, + "execution_count": 24, "metadata": {}, "outputs": [ { "data": { + "image/png": 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EAIDlY2Z9Di0tLfPOrA8PD+ekLWOyLr1c69PnUlVVpQ984AOMyTSMSbrFxuSii6S//mtp2lKQkrZyZZXe/OYPaOVKniNJjEk6xiQdY5KOMUl30kn287WKRCKRsHZ0ixobG9XU1KRQKJT2M8dxtGXLFg0NDaWVu9TX1ysYDGbc9WU+ExMTqqmp0fj4OLXIQI4NDUn33CNdcIHtSAAAxeyhhyZ0441287WynVl3HCdVfz6bx+PRrl27FAgEZlweDofl9XqXnahP19zcrIaGBvX29ubsPoFyd+iQ9Ic/SCMjtiMBABSjO+7o1Y4dDfr0p5tth1JeM+s9PT0aGBhQPB5XLBaTZHYa9Xg8am9vT0vCo9GoIpGI6uvrUzXsXV1dOYmFmXUgf179aunee6UdO6Rrr7UdDQCgWLlhZr2sFphmm2j7/f6c1KcDKKyGBuk3v5GOH7cdCQAAy1NWyTqA8vDpT5s+65WVtiMBAGB5yrZmHUDpOvlkad066ehR25EAALA8JOsAStKpp5KsAwCKH8k6gJL08Y9LwaD0zDO2IwEAYOlI1gGUpN/9TnrqKemJJ2xHAgDA0rHA1LLm5mZVVlZqx44d2rFjh+1wgJLxr/8q3X+/tGWL7UgAAMXmjjt69b3v9erIkRO2QymvPutuQp91IL/Gx6VbbpFqaqS1a21HAwAoRm7os04ZDICStGaNtGoVi0wBAMWNZB1ASTp+3NSr33ef7UgAAFg6atYBlKTRUenGG6UVK6TXvU5audJ2RAAAZI9kHUBJOvNMqb5eOukk6fBhU7sOAECxIVkHUJIqKqQf/ED61rdI1AEAxYuadQAla80aU/5y7JjtSAAAWBqSdQAla80aqapKOnLEdiQAACwNZTCWsSkSkD+Dg9LHPibV1kof/rDtaAAAxYJNkcCmSEAB/Oxn0uWXSx6P9LWv2Y4GAFBs3LApEjPrAErWhRdKwaBp4wgAQDGiZh1AyVq7Vnrta6UNG2xHAgDA0pCsAyhpa9aYfyn4AwAUI5J1ACXt6aelBx4wXwAAFBuSdQAl7c47pf/4DykatR0JAADZI1kHUNIuu0x6yUukM8+0HQkAANmjGwyAkva610kVFdK+fbYjAQAge8ysAyh5p54qTU7ajgIAgOwxs24ZO5gC+bd2rTQ1JZ04IVVW2o4GAOB27GAKdjAFCuitb5VuvVW6/nrpmmtsRwMAKBZu2MGUMhgAJa+yUjp6VHrsMduRAACQHcpgAJS8QEA67zxp40bbkQAAkB1m1gGUvJe8RDr/fHYxBQAUH5J1AGXh1FOlI0dsRwEAQHZI1gGUhV/8QvrOd6SJCduRAACQOZJ1AGXhi1+UolHp0UdtRwIAQOZYYAqgLPzFX0gPPCCtXm07EgAAMkeyDqAsfPSj0je+IdXV2Y4EAIDMUQYDoCysWSNVVZl+6wAAFAuSdQBl4eSTpXXrpLEx25EAAJA5ymAAlIUnn5Te8Q7p8GEpHJZWMFUBACgCJOuWNTc3q7KyUjt27NCOHTtshwOUrNNPN4n68ePSyIi0YYPtiAAAbnXHHb363vd6deTICduhqCKRYE8/GyYmJlRTU6Px8XFVV1fbDgcoC3feaTrCXHih7UgAAMXgoYcmdOONdvM1TgQDKBsXXSSdcoqZXQcAoBiQrAMoG2vWSKtW0REGAFA8SNYBlI2nnzalMLfdZjsSAAAyQ7IOoGw89ZT07W9L99xjOxIAADJDNxgAZaOhQXrta6WTeOUDABQJZtYBlI3TTpM+9jHpyittRwIAQGZI1gGUlbVrbUcAAEDmSNYBlJU1a6Rjx6TnnrMdCQAAiyNZB1BWPv95aedO6etftx0JAACLI1kHUFa8XvPv+LjdOAAAyAQ9EQCUlW3bzC6mIyO2IwEAYHHMrAMoK6tXS5s2sYspAKA4kKwDKDvV1VIiYTsKAAAWR7JuWXNzsxoaGtTb22s7FKBs3HmndMst0i9/aTsSAIAb3XFHr3bsaNCnP91sOxRVJBLML9kwMTGhmpoajY+Pq7q62nY4QFnZtk3q75fe8hbzBQDAXB56aEI33mg3X2OBKYCy09Zmeq2/6EW2IwEAYGEk6wDKTmur9Pzz0pEjtiMBAGBh1KwDKDsVFVJtLR1hAADuR7IOoCydcooUj0uTk7YjAQBgfpTBAChLb36z9Mwz0llnSRdcYDsaAADmRrIOoCxt2SIdPixNTNiOBACA+ZGsAyhLt94q3XabtGGD7UgAAJgfNesAylJdnbRqFYtMAQDuRrIOoCytWiWtXk2yDgBwN5J1AGVpbEz66lelT35SYh9nAIBbUbMOoCytXi1FItLUlOQ4pu86AABuQ7IOoCxVVUldXdJjj5n/AwDgRpTBAChbO3ZIjY0k6wAA9yJZB1C21qwxC03ZxRQA4FYk6wDKVmWl2cX0oYdsRwIAwNyoWQdQtu6/X/rgB6WNG6WXv9x2NAAApGNmHUDZOv98qbradIahfSMAwI2YWbesublZlZWV2rFjh3bs2GE7HKCsbNki3XOPdPfdUkWF7WgAAG5xxx29+t73enXkyAnboagikWA+yYaJiQnV1NRofHxc1dXVtsMBytbvfy/dfrt0wQW2IwEAuM1DD03oxhvt5muUwQAoa2vWmIWmx4/bjgQAgHQk6wDKWjQqfeEL0n/8h+1IAABIR806gLJ2+LD0X//FxkgAAHciWQdQ1q69Vnr3u005DAAAbkMZDICytmWL9MY3Shs22I4EAIB0JOsAyl5NjXTCfncuAADSkKwDKHvPPSf96lfSk0/ajgQAgJlI1gGUvc98RvrqV6X777cdCQAAM5GsAyh7Pp907rnSypW2IwEAYCa6wQAoe//6r5LXKx07ZjsSAABmYmYdQNlbsULyeKSjR21HAgDATCTrACBp/XqSdQCA+5CsA4CkD35Q+vCHpX37bEcCAMALSNYBQKZ9o+NITzxhOxIAAF7AAlMAkHTTTdI990gXXmg7EgAAXkCyDgCStm6V/vhHqaLCdiQAALyAMhgAkHTKKeaLRaYAADchWQcASZOT0u9/L/3gB7YjAQDgBZTBAICk48dN3bokveEN0rp1duMBAEAiWQcASdLatdIrXiEdOiQ9/7ztaAAAtiUS7tjZmmQdAP7kllukcFiqrbUdCQDAtrvvlr75TdtRULMOAClr1khVVaZ+HQBQvo4dk844Q2posB0JyToApKxZI61aJR0+bDsSAIAtJ05I8bj04hdL//f/2o6GZB0AUh54QNq584WFpgCA8vLww9KuXdJZZ0mvfrWZxLGNmnUA+JPaWunZZ6WJCbOwiA2SAKB8TEyYyZpDh6SrrpI8HnOZbSTrljU3N6uyslI7duzQjh07bIcDlLX6ejOj8vjjtiMBABTagQPSX/yF9LvfSSed1KeGhk/rxIkTtsNSRSKRSNgOohxNTEyopqZG4+Pjqq6uth0OgD95+GHpjjukCy6wHQkAoFCefVY6ckT68z+XtmyRTvrTdLYb8jVq1gFgmrVrpRUrzAIjAEBpO3ZM+vrXpdFR6corpfPPfyFRdwuSdQCY5tFHpZ/+VLrvPtuRAADy7bOflfbskW6/XbrwQtvRzI1kHQCm+fnPzcZIP/yh7UgAAPl09Kh03nnSunVSIODepgIk6wAwzcteZr7OO892JACAfDl2TNq3T2ptNT3VX/c62xHNz2VVOQBg1yteIXV3Sw89ZDsSAEA+xGLS1JTU2Gjq1E85xXZECyNZB4BZPB4z6wIAKC3/+Z/SRz4inXqq9KMfuT9RlyiDAYA0a9eaWZfJSduRAABy6cABMyFz6aWS12s7msyQrAPALB/6kLRzp3TXXbYjAQDkyuOPm83v7rrLNBKorLQdUWYogwGAWWprzcw6O5kCQPE7eFD6wx9M6cvVVxfPjHoSyToAzPK+95kd7GpqbEcCAFiOY8fM2dJHHpG++MXiS9QlymAAIM2mTSZZp2YdAIrbyIjpp75ihfTSl9qOZmmYWQeAOdTVmR68AIDidPiwND4u7dr1wqLSYsTMOgDMYe9e6dZbpWeesR0JACBbTzwhPfqodPHF0lVXSU1NtiNaOpJ1AJhDOCzdd5+0f7/tSAAA2bjnHunv/940CbjiCmnlStsRLQ9lMAAwh7Y26cc/Np1hAADFYWpK+slPpBMnzOLSVatsR7R8FYlEImE7iHI0MTGhmpoajY+Pq7q62nY4AGY5eFC6+WZpzRqJP1EAcL9EQorHTYvGI0ekt7/dLCxdDjfka8ysA8AcVq8221DTEQYA3O/wYem558zkytat0pln2o4od6hZB4A5rFghrVvHxkgA4HYTE9K73y3ddptZTFpKibrEzDoAzGl83NStHz8u7dlTGnWPAFCKfvQj6Y9/fGGSpdQwsw4Ac6ipMfXqJ51kTq0CANxnfFx68Yulj35Uikal006zHVHuMbMOAPO46y7p3nuls86yHQkAYLpEwpS/PP209MpXSi972fIXk7pViT4sAFi+LVvMItPnn7cdCQBguq9+1cymv+Ql0mWXlW6iLjGzDgDzWrPG1KofPSpVVdmOBgAgmd1Jv/Md00f9wAGpstJ2RPlFsg4A83jySemb3zSbbPz939uOBgBw4oRJ0D/yEfPavG2b7Yjyj2QdAOZx8KB0553S2rUk6wBg24kTZtOjc8+VrruufDasK+EKHwBYnvPPl/76r6VrrzUzOAAAO+Jx6R//0ZS8bN1aPom6RLIOAPNas0Z6//ulyy8v7cVLAOBmiYT0qU9J+/dL99wjrV9vO6LCogwGABbg8UgrV0qTkywyBQAbnn5auv566cc/lr7yFdvRFB5zRQCwgOpqk6j/8pe2IwGA8vPcc6Z97hveIH3ve2YCpdyQrAPAAgYHpa4u6fOftx0JAJSP48elYNBMlLzqVWaX0nJFsg4AC7j4YlMGc8opZoYdAJB/t9wi/eQnZvOj+nrb0dhFzToALKC6WnrgAdPCkZp1AMi/o0eliy6SHntMCgSkdetsR2QXM+s54DiOwuGw6sv9ox9Qok47zSTqR4/ajgQAStuxY9K+fVJzs+n88vrX247IPmbWlykWi2lwcFB1dXWKx+O2wwGQBzU1po3joUPSqlW2owGA0vSjH0lPPCG9+c3SlVdyNjOJZH2ZfD6ffD4fiTpQwp57TgqFpCeflD73OamiwnZEAFBa4nHp3/7N7FL6lreYdUIwSNYBYBEej+kKc+KENDIinXqq7YgAoHQkEub1detWc/byta+1HZG7FHWy7jiOAoGAPB6PgsHgvNeLRqOKRCKqr6+X4ziSpK6urgJFCaDYrV4tffSj0qOPltcW1wBQCI89JtXWmg2PTjtNqqy0HZG7FGWyHggEFI/H1dzcrGg0Kr/fP+91w+Gwdu/erf7+/tRl0WhULS0tikQihQgXQAl4+9ul3bvN7A8AYPnGx6Vvf9vMqF9zjbRxo+2I3Kkou8EEg0H19/erq6tLngW2snIcR9u3b9euXbtmXO73+zU6Oqq+vr48RwqgVExfZAoAWJ7jx6X3v18Kh6UHH5TOPdd2RO5VlDPrmdqzZ4+8Xu+cCX17e7tCoZA6Ojokmdn2UCiU0f1On6UHUD6eekoaGJD+7u9YZAoAy3HwoGnPOD4u/cM/2I7G3Uo6We/v71ddXd2cP/N6vYrFYnIcRx6PR36/f8FyGgDlbWrKzAIdPy695jXSGWfYjggAitPBg9Izz0jveY+0axdrgRZTlGUwmRocHJTX653zZ8nLabkIIBNVVaam8qKLzKYdAIDs3X232fSosVFqaiJRz0RJJ+vJWfOF5CpZT3aZAVC6brlFuv56af1625EAQPH5/velT39auvlmk6jT9SUzJV0Gs5BkEj86Orqs+4nH4wqHw6nOMm1tbWpublZHR8eiHxQkaWJiYsb3VVVVqmLLLsCVpi8yXb3adjQAUDxOnDDlhKtXS697nbR2re2I5jY5OanJycnU97PzNBvKNlnPFa/Xq66uriX3bd+0adOM7z/wgQ/ogx/8YA4iA5BrlZXS6adLDz1kZtdXlPS5SQDIjURC2r9fuuoqaccO6cILbUc0v+7ubt100022w5ihbJP1ZNnKfAtQC+Wxxx5T9bSCLWbVAfdKJKQbbpB+/Wupt1c6+2zbEQGAuz37rPTHP5pF+Vdf7f7F+Tt37tR73vOe1PcTExNpE6uFVrbJultUV1fPSNYBuFdFhVlomkhI8TjJOgAs5OBB6cYbpeefl/bscX+iLrmzHLmkk3Wv1zvvAtJkrfp83WIAYC6f+Yx0773S5s22IwEAd3vySdM9q7JSOv9829EUr5JO1n0+37xdWpJJvM/nK2BEAIrdy18uDQ+bRaZuXSAFALYdPGj+/Y//kDZulCxXkhS1kl4e1dLSMu/M+vDwMJsgAcjaihXSmWdKhw/bjgQA3Onpp6XHHzftGf1+dy8oLQYlnaxv27ZNo6Ojcybs4XBYnZ2dFqICUOx+8QvTJ/iJJ2xHAgDucscd0v/6X2a351e8gq5ZuVD0Q+g4zry90j0ej3bt2qVAIDDj8nA4LK/Xq9bW1kKEuKDm5mY1NDSot7fXdigAMvSd70g//7npCgMAMI4dk/bulY4eNaWCK1fajmjpent71dDQoObmZtuhqCKRSCRsB5Gtnp4eDQwMKB6PKxaLSZL8fr88Ho/a29vTkvBoNKpIJKL6+vpUDftS+6LnysTEhGpqajQ+Pk43GKDIfOYz0ve+J11xhXTRRbajAQD7Egmznmf9eml0VHr3u00HrWLnhnytKJP1UuCGXz6ApZmakr7xDTNzVAytyAAgn44dk556yuzw/JrXmM3jSoUb8rWiL4MBgEJLLjI9dMh2JABg18GD0rveJf30p2bTo1JK1N2CZB0AlqCuziwwHR+3HQkA2HP77aaf+t13S7W1tqMpTSTrALAE732v9IlPSD/5ie1IAMCOAwdMe8a//3vpBz+QqOrND5J1AFiCSy+VqqqksTHbkQBA4R09as4uNjdL/+f/sNg+n0p6B1MAyJcPfEC65BLq1gGUn+98x7Su/Zd/kS6/nF7q+cbwWkafdaA4rV0rnX02yTqA8vLkk9K//7tZUDoyUty91BdCn3W4ohUQgOX59a+lO++ULrjAdiQAkH/JXuqPPGImKvr6SqOX+kLckK9RBgMASxSJSKGQ5Peb3sIAUMoeecR0wnrrW6XTTrMdTfmgDAYAluiZZ6Tf/1566CHbkQBA/kxMmO5XU1PSq19Nol5ozKwDwBK1t5tttdnFFEApCwalX/1KqqyU3v1u29GUH2bWAWCJLr5Y+pu/obcwgNJ14IB0zTXSOedIn/2s7WjKE8k6ACzD+vVm0RUAlJrDh033l9ZW6Q9/kF7yEtsRlSeSdQBYhuPHpd/+1pwiBoBSsWeP9MADZgO4l72sdFs0FgOSdQBYhltvNT2Hb7/ddiQAkBu33y59/evmte2ii0jUbSNZt4xNkYDi9qpXmVpOj8d2JACwfMeOSaefbl7X3vteacMG2xHZwaZIcEWTfQC5cf/95uv8821HAgBLd/y4qU1/0YukV77SrMkpd27I12jdCADLVFfHIlMAxe2++0w/9ZYW6eqrpXXrbEeEJJJ1AFimmhpT03nwoLR2re1oACA7v/619MlPSitWSH/91yTqbkPNOgAs049/LN10k3mzA4BiMjUlVVSYhaSve530ilfYjgizMbMOAMu0YYPZyRQAikkiIe3bJ511lvTd70qnnmp2KYW7kKwDwDI1N0uf/7w0NmY7EgDIzP790s9+Jv35n0t+v3TGGbYjwnwogwGAZVqzxrzZVVXZjgQAFjc2Jt14o3TzzWZRKYm6u5GsA0AO1NSYZP3oUduRAMDCDh6ULr/ctGh861ttR4PFUAYDADlw8KBpfZZISH/zN7ajAYC5PfWUWVD6uc9JZ55pzgzC3ZhZt4wdTIHS8PTT0u7d0p130nMdgPscPCh99avS5KTpo37eeSTqC2EHU7hiRywAuXP4sGl7dsopUkcHHRUAuMeJE9L73md2J33b20zSjsy4IV9jZh0AcmD1amnXLmnrVrOxCAC4xcSE9PKXm92W3/te29EgW7ylAECOeDzSqlUsMgXgHuPj0nPPSe96l+mpftFFtiNCtkjWASBHamqklSul3//ediQAyt2JE6Y14yOPmM4vTU0SVbfFiW4wAJAjv/ud9M53mrr1m282HRcAwIZQyCx4v+QSKRCgPK+Y8asDgBw5/3zzhlhRYU49A4ANR45I9fXmbF8gIJ3E1GxR49cHADlSVSX95CfSj35k3iQBoNAmJ6X9+6W//Evpgx+UTj3VdkRYLmbWASCHzjvPdIY5csR2JADKzZ13SkND0ktfKl15JYl6qWBmHQByqLpaWrtWOnTIJO0AUAiRiPT5z5sE/f/7/0xnKpQGZtYBIIcOHZL6+6XubmlqynY0AMrB1JTZjfScc6S3vlU6+2zbESGXmFkHgBxas8bMcE1OSk89JZ11lu2IAJS6Rx6RXvIS6b77TKJOJ6rSQrIOADl00knSP/2TFI/T0xhAfh0+LP32t9IZZ5ga9U2bbEeEfKAMxrLm5mY1NDSot7fXdigAcuTd7zabkDC7BSBfpqakj3/clNwdO2ZKYJA7vb29amhoUHNzs+1Q8pest7e3W7ltsRkYGNBvfvMb7dixw3YoAHKkpuaFRaYAkA8TE9KBA+b/TU12YylFO3bs0G9+8xsNDAzYDiV/yXo8HrdyWwCwraLCzHTde6/Z8hsAcun4cenpp6VPfUr64Q/NmTyUrrzVrA8NDamyslJerzer25GoAyh2iYT0rneZetLLLpM2b7YdEYBScfiw9MQT5nXlqqvMWTyUtrwuME0kEhoeHs76dhUUegIoYitWmCR9/342RwKQOyMj0nveI23dKv3N35Col4u8lcH4fD6NjY1pamoq7au1tXXOy6empjQ6OqpLL700X2EBQEHcdpvpCkO/YwC58v3vS2Nj0i9/adrEojzkbWbd6/WqpqZmzp8tNHPu8XiyLp0BALeprpbWrTOLTNetsx0NgGJ38KD0spdJF1wg/d3fkayXk7wl68Fg0MptAcANVqyQzjxTevBBU8NOdR+ApZqclB5/3JTXXXGFeX1B+cjbr3vLli1WbgsAbhEMSv/yL2aDJABYip/9TPrEJ6TzzpNe/nIS9XKUt1/5/v37rdwWANzi0CGzwPR3v7MdCYBidPCgac/4859LDz8sVVXZjgg25C1ZDwQC8/4skUgs+bYAUCw+9CFp505TZwoA2Roflzo7pde8RrrhBtvRwJa81azH43EdOHBA6+ZYWbXQAtPx8XHFYrF8hQUABfPqV5uNS5K7DAJApkZHzeZqO3ZI559vOxrYlNdNkTwez7w/r6yszNehAcAVKiqkjRsl5h8AZCqRMK1fvV4zo06ijrxuilRTU6O6urqsbjMyMqKJiYk8RQQAhTU8LN15p/RXfyVt2mQ7GgBu993vSv/3/5o9Gv7xH21HAzfIW7Lu8/k0ODi4pNs2NTXlOBoAsOPmm6W9e6VzziFZB7CwqSmzK+mGDdL117NDKYy8LTBdzsZG5bQpUnNzsxoaGtTb22s7FAB58Bd/IV1+ubR+ve1IALjdI49IjY3SwID0z/9sO5ry1tvbq4aGBjU3N9sORRWJxVqzIC8mJiZUU1Oj8fFxVVdX2w4HQJ4kElI4bBaLbdxoOxoAbnTokCmZ27BBeu1rTQkM3MEN+Rqt9QEgjyoqzE6mhw7ZjgSAG504IXV3Sx/7mOmjTqKO2QqWrM+3aHTnzp1qbm7Wm9/8Zv3whz8sVDgAUDDr15vNTQ4etB0JALcZHZUcxyTtF15oOxq4UV6T9YmJCV177bWqrKxUbW2trrvuuhlJ+/nnn6+enh4NDQ1pz5498vv9+meKtACUmO5u6QMfkH7wA9uRAHCT48elkRGpt1e66y5Trw7Mltdk3efzKRKJKJFIKJFI6K677pLf75ckXX/99RoZGdH73vc+9ff3KxQK6ZJLLlEwGNQvf/nLfIYFAAVVX2/+ffJJu3EAcI+jR6V9+0w/9Wuuka680nZEcKu8tW78+Mc/LkmKRCLaunWrJCkajer666/XrbfeqsHBQe3bt081NTWp22zfvl1tbW3q6urSD5iCAlAi3vUuafNm6fBh25EAcINnn5VuuEF6/eult71NWr3adkRws7wl63v27FE0GtXmzZtTl/n9ft1111269tprFQqFZiTqSf39/Tqf7boAlJC6OumCC6T777cdCQA3uPVWaWzMvCbQEA6LyVuyXltbOyNRT/J6vbr00kt1zTXXzHvbuZJ4AChmtbWmjSOA8uY40tat0vnnS//wD9LJJ9uOCG5npXXjYg3my2lTJADlYWhI+sY3pO9/33YkAGxIJEwL12eeMRulfepT0rnn2o4KxSBvyXptbe28P6uoqFjwtov9HACKzaOPSoODZmdCAOVn927pC1+QLr5Yam42ezAAmchbGYzjOPP+jE1TAZSb171Oeugh6YwzbEcCoND27ZNuueWF2fXKStsRoZjkLVkfHR2d92eLzZzH4/FchwMAVl10kfSP/yj9+Me2IwFQSFNT0rFjpivUSSdJf/VXtiNCsclbsj40NKTKBT46BgKBfB0aAFzJ47EdAYBC279fOv106e/+zuxmDGQrb8m6ZLq6ZLtYdHh4eMYupwBQKk45RXr6aTPL9pKX2I4GQD6Njkpf+pL05jdLV19Noo6ly1uy7vP5NDg4uKTbNjU15TgaALBvzx7pE5+QLrlE+tCHbEcDIF8SCekjH5H+8AdzRm3HDtsRoZjlrRtMXV3dkm9L60YApejyy6V16+irDJS68XHpta+VvF7p05+2HQ2KXUWC1ixWTExMqKamRuPj46pm+zKgLExNmfaNP/6x2dEUQOk5dEh64gnpla+UmprMolIULzfkawXbFGn//v2FOhQAuNKKFVLypCPTJEDp+f73pV/9Srr0UtNLnUQduZD3ZP2d73ynKisrVV9fr1NPPVW33XZbvg9ZVJqbm9XQ0KDe3l7boQAoAI9HWrVKOnrUdiQAcunee82mR6GQ9OIX00u92PX29qqhoUHNzc22Q8lvGcy1116rSCQy84AVFQqHw3rDG96Qr8MWBTecVgFQePfcI73jHVJ1tXTTTbajAZALU1PSL34hfe1r0utfL332s7YjQq64IV/L28z6N7/5TQ0MDKi/v19TU1OamprS2NiYbrjhBr3jHe/I12EBwNXWrJGGh6X/+i9KYYBSsX+/9Gd/Ztaj/J//YzsalJq8VVP19fVp7969uvTSS1OX1dTUKBgMqqKiQrfeeqve+MY35uvwAOBKF11kWrqxnQRQ/EZHpYcflurrTS/1s86yHRFKUd5m1hOJxIxEfbrOzk7F4/F8HRoAXKuqSnrLW6QNG2xHAmA5jhyR3v9+6VOfMgtJSdSRLwXrBjPdli1bNDIyYuPQAGCdx2PKYQ4dsh0JgKVyHGn1avO3fMUVtqNBKctbsl5bW7vk29LmEUApO+UUs7PhV79qOxIAS3HokHTggLRrl/Szn5kyGCBf8pasO46z5NsGAoHcBQIALvP882YR2g9+ID31lO1oAGQjHpcee8z0Ur/8cjY4Q/7lLVkfHR1d8OfzJfP79u1TLBbLQ0QA4A41NdIb3yhdeSUdYYBicvfd0j/+o1lU+spX0ksdhZG3bjBDQ0OqXORZ3NfXl6/DA4CrffWr0i23mF1NAbjf1JQUi5kP2GvWmMXiQCHkdSPcmpoa1SX31s7QyMiIJuhpBqDEnXKKdPbZZoZu/Xrb0QBYzP79ZkOz7dulv/5r29GgnOQtWff5fBocHFzSbZuamnIcDQC4z8aNUjQqrV1LK0fArQ4flkZGzGz6NdfQohGFl/EJ2AceeEB1dXU66aST9MlPfnLR62c7oz6d1+td8m0BoFh89rPSxz8uffvbtiMBMJfDh6VAQPr6102NOok6bMg4Wf+nf/onbdu2TVNTU/rYxz626PXvuuuuJQe1Z8+eJd8WAIrFFVeYzVTGx21HAmAuDzxgOr88/LCZWQdsyKoM5otf/KJqamp03nnnzfnznTt3qru7OyeBAUCpe9ObTCnMgw/ajgTAdCdOmBr1+nrpppuk17xGOucc21GhXFUkEpk1DmtqatIPf/hDrVu3bt7rVFZW6sSJEzkLrpRNTEyopqZG4+Pjqq6uth0OAEvicelb35K8XtrAAbadOCH190vnnSf92Z+Z9qobN9qOCja5IV/LuAymo6NDmzdv1ic/+Undfffdc14nw7wfAPAnp50mVVebrcsB2NXbK918s3TrrWY2nUQdbpBxGUxHR4ccx9H73vc+VVRUSDILQX0+ny677DJdeumlqcsBAJk5fFjq65P+8Afpy19mdh2wIZGQnnxSuuwy00v9hhvM5mWAG2RcBpMUjUYVCoX0zW9+84U7mZakezweNTU1yefzqbm5WT6fT5s3b85ZwKXCDadVANh3/LhUVycdOCB94hNsXQ4U2jPPSBMTJjl/1atMxxcWkyLJDfla1sn6dA888ICi0agGBgYUi8UUj8dfuONZs+w+n09+v58E/k/c8MsH4A5f/rL0u99JjY1msyQA+Xf8uLRrl3T33VJ3t9no6PTTbUcFt3FDvrasTZEuvfRSXXrppanvV6xYoaGhIQ0ODqb+jcVikqShoSENDQ3NSOKTCXxLS4uuueaa5YQCAEXrbW+TbrnFzO6RrAOFMTpqPiRPTpqFpSTqcKtlzazPNl83mH379ikWi6Vm4AcHB+X8aTXV9OS9s7NTnZ2duvjii3MVkmu54ZMaAPf40Y+kwUHp/PNtRwKUtkRCevxx8+9550lHjkivf73tqOBWbsjXcpqs19XVaXR0NKPrjo+PzyihSSbwFRUVamtr065duxZsE1ns3PDLB+Aet90mfe5z0lVXSdNOWALIoe9/X3r6aemv/srUp9fX244IbueGfG1ZZTCzZZqoS1JNTY3e9KY36U1velPqsn379ikSiSgcDmvz5s2KxWI699xzcxkiALjS3r2mdvb4cZJ1IB9+/nPpC1+QVqyQ3v1uEnUUj4z7rBfCli1b1NHRobvuuku7d+9WR0eH7ZAAoCC2bTOz6i9+se1IgNLz3HOSxyO1tEgf+IDZ7AgoFjmdWc+FBx98UPv27dMb3vAG9fX12Q4HAAriyiulf/s3M7sOIDf+67/M3gVVVdLWrdI//IN0kusyH2BhrnvKXnPNNRofH1cwGNT4+LjtcACgYE47zSQSzz8vnXyy7WiA4vad70j//u9mNv2LX5TKvGM0ipirymAkqa2tTYlEQoFAQJ2dnbbDybvm5mY1NDSot7fXdigALNuwQaqokH76U9uRAMXtwAHTknFqSlq3Ttq0yXZEKDa9vb1qaGhQc3Oz7VBy2w0mVx544AF5PB5t2bLFdih544bVxQDc5ZFHpC1bzAK4m2+m5zqQrUTC7Eh64IDk85nvr7rKfAgGlsIN+ZrrymAkzdhoCQDKxTnnSGefbTZoee45ZgOBbDzwgPSVr5hOLy0tUkOD+eALFDtXJusAUI4qKqSf/ET67ndN5woAmZmclD7xCTOj/oc/mIWkQKkgWQcAFzn7bOnUU6WREWntWtvRAMVhZER673tN95dPftJ2NEBukawDgItUVJiuFfv3S8eOSStX2o4IcDfHkY4eldrb2acApYlqLgBwmdtukz7yEenOO21HArjbd74j/ed/SpddJr3oRbajAfKDZB0AXOaUU6SJCWloyHYkgHv97GfSrl1Sb6+0cSMdX1C6KIMBAJf527815S/stAjM7+STzWz61VdL555rOxogf3grAACXOecc6S//Uvre92xHArjTU0+Z2fQ775TOOst2NEB+UQYDAC60YYMphzl82HYkgHtMTUm//rX5u3jVq8xibBZho9SRrAOAC61YId1/v6nHBWB84xvSv/yL9OSTdH5B+SBZBwCXuvlm6cc/Nj2kgXJ3/Lj08MNmdr2+ngWlKB/UrAOAC61fbxaajo1JlZW2owHse/RR6X3vM+Vhb3iD7WiAwiFZBwCX+tznpFtukRIJ25EA9pw4IT37rLRqlXTVVSwoRfmhDAYAXGrNGumMM6TxcduRAHYkElJ3t/nQ+vKXk6ijPDGzDgAudvrp0u23S1VV0pln2o4GKKwHH5R+8Quz5wBnmFCuSNYBwMW6u6XbbjO16297m+1ogMKZmpJWr5YCAbPp0SWX2I4IsINkHQBc7DWvke65x9TtAuXk0UfN2aR3vEPyeGxHA9hDzToAuNj/+B/St79tNoABysHkpPSFL5iZ9SuvJFEHSNYBwMVOOsnMLiYSJnkBSt1nPyt9//tmn4FNm2xHA9hHsg4ALnfaadLataZ9HVDKnn9eeslLzHM+GLQdDeAOJOsA4HLPPmsWmr73vXTEQOmampL27ZOuu076/e+lV7/adkSAO5CsA4DLnX229Mc/SgcOSE8+aTsaIPeee0761a/MvgJXXCFVV9uOCHAPusEAgMtVVUlf/7r08MPShg22owFya3JSuukm0570P/5Dqq21HRHgLsysA0AR+Iu/MLs3spspSs0f/2gS9hUrpJe+1HY0gPuQrANAETj5ZGnzZmliwnYkQO4cOyYdOiR9+ctSNGo2PwIwE8k6ABSJ3/5W+trXpFjMdiTA8j3/vFlQesEF0tVXS42NtiMC3IlkHQCKRCwmPfCAdN99tiMBlmdkRLr+epOsX3mltGqV7YgA9yJZB4Ai8d//u/TGN0o+n+1IgOX5xjdMB5i9e6V162xHA7gb3WAAoEhceaW0erV0zz22IwGW7sABaetW6ZxzpEBAWrnSdkSAu5GsA0AROf10qbLSLMwjyUGxOXpUeuIJ6WUvM5t8reD8PrAo/kwAoIisXy85jhSJ2I4EyM4PfiD9+79LF14oXX45iTqQKWbWAaCIDA9LH/qQaeXo95t/Abd74gnpC1+Qpqakt72Ns0JANkjWc6Cnp0eSNDw8rHg8rlAoJK/XazkqAKXowgulLVtM7fqBA2amHXC7yUmTpB86JL3lLbajAYoLyfoyBQIB7dy5Ux6PR5IUDodVX1+v4eFhEnYAOVdRIf3851J/v3TKKbajARb3+OPSmjXSRz8qnXmmeQ4DyBwVY8sUjUY1Ojqa+r61tVUej0ehUMhiVABK2fr1Um2tqV0H3Gpy0uxMOjkpXXWVtHEjiTqwFCTry+A4juLxuOLx+IzL6+rq5PAuCiBPVqwwpTAjI6a7BuBGn/yk9K1vSd/5jnT++bajAYpXUZfBOI6jQCAgj8ejYDA47/Wi0agikYjq6+tTSXRXV9eyj+/xeDQ2NpZ2eTweVyP7JgPIo1BI+n//T+rslK67znY0wExHjkgvfan08MPS+99vOxqguBVlsh4IBBSPx9Xc3KxoNCq/3z/vdcPhsHbv3q3+/v7UZdFoVC0tLYrkofdZX1+fvF6vOjo6cn7fAJC0caN04oT029+SrMNdjh2T9u+XWlulnh7pT0u6ACxRRSKRSNgOYjkaGxvV1NQ0Z4244zjasmWL9u3bl1oAOv12nZ2dOU2qk8cbGhpadHHpxMSEampqND4+rurq6pzFAKA8PPmk9L3vmRnMzZttRwMYv/qV9Pzz0iWXSH/+56ZrEVDM3JCvFeXMeqb27Nkjr9eblqhLUnt7u0KhUCpZj0ajGS8KnT5LP9327du1d+9eusAAyLuNG6WXv1y6807bkQBGPG72APB4pGiURB3IlZJO1vv7+1VXVzfnz7xer2KxmBzHkcfjkd/vX7CcZjHJFo4+n2/J9wEA2diwQVq1yiwyXbXKdjQodyMj0rp10nnnSRdcYDsaoHSUdDeYwcHBeWe5k5fP7uSyFOFwWC0tLTMS9b6+vmXfLwAs5MgR6fbbTV0wYNOzz0pnnCHdcYfp/sLOukDulPTMenLWfCHxeHxZs+HRaFQDAwNqb29XLBZL3ScA5FtVlRSJmN7V4+NSTY3tiFBuTpww5S8rVkhbt5oOMAByq6ST9YUkk/jpGxply3EctbW1yXEc9cya2sq008zExMSM76uqqlRVVbXkmACUjzPPlP7X/zKJOjOZKLREQvriF6V77zVndy680HZEwPJNTk5qcnIy9f3sPM2Gki6Dybdkn/VEIpH2lWn9+6ZNm1RTU5P66u7uznPUAErJhz8sveIVpgMHUEgHD0q/+53ZofT009mdFKWhu7t7Rl62adMm2yGV78x6cnOk+RagFspjjz02oxUQs+oAslFdbRKlxx+nDAaFc+KE9MQT0ic+YZL0N77RdkRAbuzcuVPvec97Ut9PTExYT9jLNll3i+rqavqsA1iWqirpnnskv9+0dATy6ehR8+Fw0yappcV8YARKhRvLkUu6DMbr9c672DNZq05PdADF7t/+TQqHpR/9yHYkKHXPPit1dkoPPSRdcw2JOlAIJT2z7vP5UuUusyWTePqiAyh2r3+96chxyim2I0Gpu+02aWxMuv9+yq6AQinpmfWWlpZ5Z9aHh4eXtQkSALjFO98p7dolveQltiNBKRsbM+0Z3/te0zLUZZUCQMkq6WR927ZtGh0dnTNhD4fD6uzstBAVAOTexo3S1JRppwfkUiIhHTokPfOMdPnl0sc/burVARRG0SfrjuPM2yvd4/Fo165dCgQCMy4Ph8Pyer1qbW0tRIgLam5uVkNDg3p7e22HAqCInXaatGqVtG+f7UhQavr7pc9/XrrkEqmpiRaNKA+9vb1qaGhQc3Oz7VBUkUgU3zxMT0+PBgYGFI/HU7uG+v1+eTwetbe3pyXh0WhUkUhE9fX1qRr2rq6uQoc9w8TEhGpqajQ+Pk43GADLFotJV11lEqmvfIVNkpAbTz1lyqympqRvfpMWjSg/bsjXijJZLwVu+OUDKB3HjknnnisdPiy9//3S+efbjgjF7vhxaXhY2r/flMJwAhjlyA35Wkl3gwGAcrFypfT970u//KWpLwaW4+hRk6TX10sdHbRoBGwq+pp1AIBx8cVSY6NJ1k+csB0NitW3viX90z9J55zDpkeAG5CsA0AJ8XqlM86Qfv5zU2cMZOPZZ6WbbzZ9+599Vlq3znZEACiDAYAScsop0pe+JN17r5kdfcUrbEeEYjE5KT33nPThD0sTE9KOHbYjAiCRrANAyWluln7yE+kPfyBZx+ISCWlkxCTqF14oXX01u+ECbkIZjGX0WQeQazt3St/+tnTZZWyShIUlEmb32xtuMOVT11xDog5I9FmH3NEKCEDpmpiQ9uyRKiulU0+1HQ3c6plnpEDAzKx/6UvS299uOyLAXdyQr1EGAwAlqLralDR897vS889LGzfajghuc+iQNDYmfeYzpk//3/6t7YgAzIVkHQBK1AMPSMGgSdo/9CHb0cAtTpyQfv97s9ttY6P0qleZPv0A3ImadQAoUVu3msRsfNzMrgPHj5sPcP/6r9Lq1STqQDFgZh0AStQFF0j33Wd2NT16VDr5ZNsRwTbHMfXpJ05Ip59Oog4UA5J1AChhr3iFdOSI9OCD7ERZ7sbHpdFR6fOfNwuPr77adkQAMkEZDACUuIYG6aSTpMFB25HAhslJ6Yc/NJ1fXvlK056RRB0oHiTrAFDiKiulj3xE+uhHTQkEysfzz0s33ih9+tOmnedll0kreOcHigp/spaxKRKAfDvtNKm+XlqzRorHbUeDQpqYkDZsMItJ/X4SdSBTbIoEVzTZB1A+9u83rRwfecQk7ih9zz4rHTxoSl9qaqTzzrMdEVB83JCvscAUAMrA5s3m30ceMZ1hVq2yGg7yaHxc+va3TVvGV79auugi01MdQHHihBgAlIlNm6Rzz5V++lPp8GHb0SAfjh2TAgEpHDYbH118MYk6UOxI1gGgTFRWSt/4hlls+N3v2o4G+fDcc9JVV0lnnCG96122owGQCyTrAFBG/vzPTdL+xz/ajgS59sQTZrOj97/fzKq/6EW2IwKQCyTrAFBG3vY2KRKRrr3WlEyg+O3bJ33gA9Lx46bjy4tfLK1dazsqALlCsg4AZWTlStMdZONGZtdLweSk9MEPmk4/Dz0knX++7YgA5BrJOgCUmZNPNh1CnnpK+t3vbEeDpTpxQnr0Uemd75SuuELq6bEdEYB8IFkHgDK0b5/0v/+39KlPSVNTtqNBtg4dkv7wB+nMM6V/+Afp3nslj8d2VADygWTdMnYwBWDDFVdIVVVmlt1xbEeDbNx+u/T3f282OrruOrNDKe0ZgdxiB1O4YkcsAOXt4Yel++835RSnn247GmRifNzMpI+MSB/6kPSv/2o7IqC0uSFfYwdTAChTL36xKae4+27ptNOYnXW7w4fNOoOeHvPvP/+z7YgAFALJOgCUsfPPlwYGpL17Tds/uM/x46ZvekWFdOmlL5QwASgPJOsAUMZWrZI++lHp8cdNO8eGBtsRYbrJSeljH5N+8xvps581u5OuXGk7KgCFxAJTAChjJ58svfrVUnW12QET7jI2Jk1MSImE6fxCog6UH2bWAaDMffrTZmfTX/7SdiSY7tlnTZ36v/+7KXt5+cttRwTABpJ1AChz69dLl1xi+naPj5uWgLDnj3+UfvYzU59+zTXShRey+BcoZ5TBAAC0YYPpDjMwYJJF2DE2Jt1wg/TlL5sE/aUvJVEHyh3JOgBAktls5zOfkW6+2XYk5SmRMMn6JZeYLj1/9Ve2IwLgBiTrAABJUmurVFkpHTliEkcUztSUNDwseTzSV78q/fzn0lln2Y4KgBtQsw4AkCS98pXSL34h3XefSdhXr7YdUXn48Y9Nct7RYXrds5ssgOmYWQcApFxyieT1mh0ykX+PPSZ98pPSj34kHT1Kog4gHcm6Zc3NzWpoaFBvb6/tUABAK1aY7iMHDphZduTP5KR06JD09rdLf/d35guAO/T29qqhoUHNzc22Q1FFIkFlog0TExOqqanR+Pi4qqurbYcDACmxmHT55aZ+/StfoRwm16amzIehp56S/uzPpKuvNmNM1xfAfdyQr1GzDgCY4ZJLpLPPlo4fl555Rtq82XZEpePgQamnx8yof+pTpkZ91SrbUQFwM5J1AMAMK1aYRaY//rHZRRO5kUhIv/ud9Nvfmv+vWkWiDmBx1KwDANKceaZ08cVm0eOxY7ajKX7HjpkdYs85x/Syv/9+M6sOAIthZh0AMKctW6TTTpO++13pta+VqqpsR1R8jh6VvvAF6dJLTWvMK64wu8UCQKZI1gEAc1q50rQV/OUvpQcflG66yXZExedznzNtGR99VPrwh1msCyB7lMEAAOZUUWEWQdbUSC97GfXr2ThxwpS9/OVfSg0N0pe+RKIOYGlo3WiJG1oBAUAmJiak/fvNgtOTTpI2brQdkXsdOyY98IC0bp3ponPFFdIZZ9CWEShWbsjXmFkHACyoulq66CKzIPLAAem975X27bMdlfscPiy9733Sxz4mnXyy9LrXmYW6JOoAloNkHQCQkRe9SPrpT6Xf/970Cj9xwnZE7jE1JT39tLR+vbR2rXTBBdKaNbajAlAKWGAKAMjYl75kZpCvvlqKxyWv1+x0Wq5OnJCOHJGeeMLMon/ta6Z3OhtJAcgVknUAQMbq6qQ77zSLTaNRs4jytNOk2lrbkRXe+Lj0v/+3GZOdO01rRpYgAcg1ymAAAFnbsEG67jqz2+n110vf/KbtiAorkZB+8hPp17+WBgelF7+YRB1AfjCzDgBYktpaaWzMlIHce6907bWmXrvUPf+8WWD78pebDy1vfrPZQAoA8oFk3bLm5mZVVlZqx44d2rFjh+1wACArH/qQaU14+ummvePZZ5fuwspDh6SvfMWUu1xyifSqV5kSGAClp7e3V729vTrhgpX09Fm3xA19OwEgV55/3pSFDA1JIyNSU5NpX1gqEgkpEJAefljaulW64w6pqsp2VADyzQ35GjXrAIBlO/lkswHQiROmreO//Is0OWk7qtw4ftwspH3jG6VzzpE++lESdQCFQxkMACAnTjpJam6WTjlFqqkx3VJOO812VEszNWV2In3iCdMz3euV/uZvpJtuMo8TAAqFlxwAQM5cc43pjnLkiNlA6cknpY0bbUeVnWPHpB/+UPrc50z9/be+ZerUTznFdmQAyhHJOgAgp178YvPvmjXS3XdLfX1SS4u7O6Y89ZT0zDOm/eLx49Jll5kZ9a1bJZ+PRB2APSTrAIC8uOAC6bbbpO9+V9q7VwqFJI/HdlQzJRJSJCL19pozAL29UkODdO650lvfavrIA4BNJOsAgLzp7JRuvVWqrze7nq5bJ1VW2o3p6FFpYsIshnUcE1tVlflwceWV5bkbKwD3IlkHAOSNxyPdd59JivfulYaHpc2b7bV1vPtuM8N/wQXSDTeYFpNer5lF37DBTkwAsBCSdQBAXq1caRLh666T7rpLuvFG0zWmrS3/x04kzILRQ4ek554zHxKOHDEz63/5l6ZGHQDcjGQdAFAQHo9JlB9+2GyilFy4efLJ0ne+Y+rDr7vO7IYqmTKVFSukioqlHe/nP5e++lXpRS+Stm2TLr3UzKi/9rVm91Hb5TgAkAmSdQBAwfzt35re5QMDZiHn+Lh0+LCZcT90yNSPj4+b6w4MSOGw1Ngobd9ukvqVK01LyKoqc/natenHOHLEdHZ59FHp8cdNz/Q3vUlav978/KyzCvd4AWC5SNYBAAX1z/9sZs2TM9vHj5ta9kcflf7H/zAJ+dGjUjxurrd2rbRqlZmNP3xY+vKXzb833CCdcYaZef/P/5S+9z3J7zdtF88+WwoEpEsuMffJolEAxaoikUgkbAdRjiYmJlRTU6Px8XFVUzQJAGmef970P1+xwiTfyWT97W83s/Of/ayZbT982Cwa/drXTJlLNGpmz2m7CGC53JCvMbMOAHClk082/c6TqqrM1623pl/3nHOkt7zF/LtpU+FiBIB8I1kHABS9s882XwBQajhJCAAAALgUyToAAADgUiTrAAAAgEuRrFvW3NyshoYG9fb22g4FAAAAknp7e9XQ0KDm5mbbodC60RY3tAICAADA/NyQrzGzDgAAALgUyToAAADgUiTrAAAAgEuRrAMAAAAuRbIOAAAAuBTJOgAAAOBSJOsAAACAS5GsAwAAAC5Fsg4AAAC4FMk6AAAA4FIk6wAAAIBLkawDAAAALkWyDgAAALgUyToAAADgUiTrAAAAgEuRrAMAAAAuRbIOAAAAuBTJOgAAAOBSJOsAAACAS5GsAwAAAC5Fsg4AAAC4FMk6AAAA4FIk6wAAAIBLkawDAAAALkWyDgAAALgUybplzc3NamhoUG9vr+1QAAAAIKm3t1cNDQ1qbm62HYoqEolEwnYQ5WhiYkI1NTUaHx9XdXW17XAAAAAwixvyNWbWAQAAAJciWQcAAABcimQdAAAAcCmSdQAAAMClSNYBAAAAlyJZBwAAAFyKZB0AAABwKZJ1AAAAwKVI1gEAAACXIlkHAAAAXIpkHQAAAHApknUAAADApUjWAQAAAJciWQcAAABcimQdAAAAcCmSdQAAAMClSNYBAAAAlyJZBwAAAFyKZB0AAABwKZJ1AAAAwKVI1gEAAACXIlkHAAAAXIpkHQAAAHApknUAAADApUjWAQAAAJciWQcAAABcimQdAAAAcCmSdQAAAMClSNYBAAAAlyJZBwAAAFyKZB0AAABwKZJ1AAAAwKVOsh1AKejr65MkOY6jgYEBdXZ2yu/3W44KAAAAxY5kfZk6OzvV1taWSs6j0ahaWlo0NjYmj8djNzgAAAAUNcpglml0dFT9/f2p771eryRpcHDQVkgAAAAoEcysL9P0RF2SYrGYJKmpqclGOAAAACghRZ2sO46jQCAgj8ejYDA47/Wi0agikYjq6+vlOI4kqaurKy8xhUIhBYNBSmAAAACwbEWZrAcCAcXjcTU3NysajS64mDMcDmv37t0zZsCTdeWRSCRnMfX19SkSiailpSVvHwQAAABQXioSiUTCdhDL0djYqKamJoVCobSfOY6jLVu2aN++fWkz3Y2Njers7FRHR0fOYsl0pl+SJiYmVFNTo/HxcVVXV+csBgAAAOSGG/K1kl5gumfPHnm93jlLUtrb22ck+NFoVG1tbRl9zcfj8SgUCqmnp0c9PT0LxjY5OTnjX5ix+OAHP8iYTMOYpGNMZmI80jEm6RiTdIxJOsYknRvytZKeWW9paZGkOctdwuGw2tralt1isbOzU4FAINUFRpLq6+vl9XoXLLN5/PHHtWnTJj322GM6++yzl3z8UuKGT69uw5ikY0xmYjzSMSbpGJN0jEk6xiSdG/K1kp5ZHxwcnJFET5e8PB6PL/n+Y7GY+vr60u5jdHSUBaYAAABYtpJO1h3HWTRpXk6y7vP51NXVNWOBazQaleM4i9asAwAAAIspym4wuZBM4kdHR5d1Pzt37pxRnz4wMKChoaF5Z/STktVHTz311IzLq6qqVFVVtayYitXExMSMf8GYzIUxmYnxSMeYpGNM0jEm6RgTU5s+vT49mafZrBov22Q9Vzwez5JaNR47dkySdNlll+U6pKK3adMm2yG4DmOSjjGZifFIx5ikY0zSMSbpGJN0ybzNhrJN1pObI9XV1Vk5/ubNmzU8PKyVK1eqoqIidXk5z6wDAADYNHtmPZFI6NixY9q8ebO1mMo2WbdtxYoVi5bKSOZDRTQaVSAQ0PDw8JzXSZbhDA8PKx6PKxQKZXTfxSqTMcnkOqUkk8fb19eX+v/w8LB27txZVguh+/r6NDw8rPr6+rJ8/HMJh8OpUsDh4WG1t7fL5/NZjsqezs5ONTY2yuv1pk3kzNcGuFz09PSkHr/jOGW9+V8sFlMgEFBLS4u8Xq/i8biGh4fn7EpXrnp6euTz+RbctLLUJd9zHcfRwMCAOjs7lzweJZ2sJ/+I5pJ8g3JzUhuLxTQ4OKi6urp5H0cgEJiRdITD4VQy4ubHtlSZjEkm1yklmTzecDisSCSS2snXcRxt3bpVQ0NDhQzVmuQOw8nHH4vFyurxz6Wvr09+v3/G60RbW5t27dpVtknp4ODgjA+1SR6PR/v27bMQkTu0tLQoGAymPsgl2xO3trZajsyeeDyeatvc2tpKoj5NcmxyuUt8sens7FRbW1sqOY9Go2ppaVlyu/CS7gbj8/lS5S6zJZMaN88i+Xw+dXR0LBhjNBqdsUi2tbU1tTlTKcpkTDK5TinJ5PF2d3dr586dqe89Ho/q6uoUjUYLEaJ1nZ2d6uzsTH2ffG0ol8c/l/7+/rQP9C0tLRocHLQUkX1+v1+JRGLG19DQUFl/gOnr65PX653x+hIMBss6UZfM308ikdDw8DDd32aJRqMlOVmYjdHR0dTkkPTCxPBSX19LOllvaWmZd6ZxeHi46E/POI6jeDye9hjr6urm/ZCC8uM4jmKxWNqLp9frnfFiUqpisZik9LNoi21cVg4CgcCM74eGhtTU1GQpGvva29vTLotGo2WdmCbLPaYr5/HAwsLhsLZt22Y7DOv6+/tnTJom34eW+vpa0mUw27ZtUyAQUDweT3ujDofDC34adhxHgUBAHo9nwetFo1FFIhHV19enEuRC1fJ5PB6NjY2lXR6Px9XY2Jjz4xXDmBRaMYxJ8sPc7JlBj8eTegHJJ7eOUaEe/1zcMCbBYFCNjY2KRqPq7+9Pnaa1NYPshjGZfXYqEAhYnTW1PSaO46T2K0mWBw0PD6uzs9PazKntMZl+/8nyw4GBAatrYNwyJsn7tH0Wyi3jMV0oFFIwGFzy2BR9su44zry90j0ej3bt2qVAIDBjBjEcDs9bb5dM7pubmxWNRhecfQ+Hw9q9e/eM+06+4dmasUuesuzo6MjZfRb7mORDMY3JQnsJLHefgYW4ZYySCdjss0021jO4ZUwkMy5DQ0NqbGxUfX29Ojo6rJTPuWlMpotGo2pubs7pfWbKLWOS/BuJxWKpJMZxHG3ZskX79u0raFLmljFJmp5D+Hw+NTY2FryZgdvGZM+ePTnNPbLltvGQXlgv1dLSsrwPAokiFAwGE62trQmfz5eQlJCU8Pv9idbW1kR/f3/a9SORSKKrqysRCoUSwWAwEQwGMzqOz+dLdHR0zPmzsbGxhMfjSYyNjc15u1AolNVjWsjw8HAik19VMqbh4eGcHXu2YhqTTMdtudw+JpFIJCEpLYaurq6Ez+fL2fEXYnuMurq6El1dXanvh4eHEz6fL+H3+5d930tle0zGxsYSHR0diaGhoURHR0fqddQm22Myne2xSLI5JsnXjtnvq36/f8bfU6G56XmS5PF45sw/CsX2mAwNDc3IPbxebyISiSz7fpfK9njMPl5HR8ey/maKcmY9208nfr8/5/Xpe/bsmbeVV3t7u0KhUOoTZjQazXjGajk1xNu3b9fevXutnZ5045jY5oYxmW8vAcdxrO0zMF0hxigYDKqnp0c9PT2pY83Vns8tCjEmbW1t6u/vTy1I7+zs1NatW62XfsynkH9LsVgsr2edciXfY5L8+5j9nmKzhGwxtl5zk2tg3FjPX4gxGRwctDqrno1CP0eSr7EVFRVav379kmbYizJZd4P+/v553+i9Xq9isViq1i8fHxZmS7ZwtNkBxW1j4gZuGJPkG+3o6OiMF6fR0VFXdMwp1BjNfoGca+GcW+R7TJILjqc/H3w+n/r7+9MWnbpFIf+Wdu/eXRTdLPI9Jm54fchWIZ4ntbW12rt3b9GMT77HpKenRyMjI6k9XyTz/hIKhWaUULlFIZ4jnZ2dqdae0+87EoksaTxKuhtMPg0ODs77Yp68vFA1seFwWC0tLTNeOObqFZxvbhoTt3DDmHg8Hvl8vrTjxONxVySrhRij5ItvUrKTkltngvI9JvPVGjc1Nbk2SS3k31IsFnPtWZfpCjEmc712OI7j2kS1EGMy199Jvho75EK+x6Srq0vBYFBdXV2pL8dx1NnZ6bpEXcr/eMRiMfX19aXdx+wJs2yQrC9R8lPXQnL1xrFQG8ZoNKqBgQHV1dUpFospFospHA7n5LjZcsuYZHOdfHPLmOzcuXPGKbrkdd1wdqMQY7R9+3bt2bMn9X0gENCuXbuWdZ/5lO8xSW4YN/s++vr6ZvTjd5NC/i3F43HrHS0yUYgxCQaDM8oAks+bcn6ezP6gkmxa4dYP/4X82ykG+R4Pn8+nrq6uGe+v0WhUjuMsucSQMpg8SD4JllvzGI/HUztPSqbGtLm5WR0dHfJ4PHIcR21tbXIcZ8bpJ0mu67xSqDHJ9DpuUMgxaW1t1ejoqPr6+lKtxvbu3bus4xZCrsYoGAwqFoulTtdO31mu2ORqTPr7+9Xd3a3169dLkkZGRtTe3u7aGdOF5GpMpt+frU4wuZKrMUn+nQQCAa1fv17Dw8OKRCKuei3NVC5fT5LvuSMjI3Icp2h3Q871306yFaz0wuuuG2fX55Or8di5c+eMvGxgYEBDQ0NLPnNJsu5iXq83dUppLp55+qyXssXGJNPrlJJMH+/0WR83LoLKp3JZI5ENzyI9iMtZsSZe+cLfT7pyeX/JVvK5Uqq7qGfK4/Hk9DlCGUweJEsMiqHmsVAYk3SMyeIYo3SMSTrGJB1jko4xSceYzOTW8SBZBwAAAFyKZH2Jkgu05pKsdXJrV4V8YUzSMSaLY4zSMSbpGJN0jEk6xiQdYzJTMY4HyfoS+Xy+ebtvJJ8ExbhQazkYk3SMyeIYo3SMSTrGJB1jko4xSceYzFSM40GyvkQtLS3zfjIbHh4uy8U4jEk6xmRxjFE6xiQdY5KOMUnHmKRjTGYqxvEgWV+ibdu2aXR0dM5feDgcVmdnp4Wo7GJM0jEmi2OM0jEm6RiTdIxJOsYkHWMyUzGOB8n6AhzHmbfXpsfj0a5du9K25k5ujlCqrfEYk3SMyeIYo3SMSTrGJB1jko4xSceYzFRq41GRSCQStoNwk56eHg0MDCgejysWi0kyfUM9Ho/a29vTfonRaFSRSET19fWpGqhS67/KmKRjTBbHGKVjTNIxJukYk3SMSTrGZKZSHg+SdQAAAMClKIMBAAAAXIpkHQAAAHApknUAAADApUjWAQAAAJciWQcAAABcimQdAAAAcCmSdQAAAMClSNYBAAAAlyJZBwAURE9PjyoqKlJfjY2NtkPKqUAgMOPxtbS02A4JQAkgWQcAFIzf79fw8LCGh4fV399vO5yc2rlzZ+qxuXXbcgDFh2QdALIQi8VUW1s7Ywa1vr5+yffX1tY2475qa2vV19eXw4jdxePxyOv1pr4W0tLSMmNskl9LNdfvrqKiQp2dnUu+z+mmP7blPCcAYDqSdQDIgs/n09jYmBKJhHw+n3w+n+LxuKLRaNb35TiOHMeRZBK9sbExjY2NqaOjI8dRF6dIJKJEIqGhoaEZiX0sFlvS/XV3d6fGu6OjI/V7DIVCuQgXAPKCZB0AlqipqSk1K7uUhG/Pnj2p23u9Xnk8nlyGVzJGR0fV2tqaGp94PJ71ffT09MyoIQ8EAow3gKJAsg4Ay7Bt2zZJUjgczvq2w8PDi5aCwMywt7S0pMYq22Q9Ho9rZGRkxlkMxh1AsSBZB4BlSpatZJOwx+Nx6pozFI1G5ff7Uwn28PBwVrcPBoMKBoOKRCKSzCJXACgWJOsAsExtbW2SsiuFCYfD1KZnaSkz6+FwOPX7Sa4roKUigGJCsg4Ay+T3++XxeBSNRlOlFosZGRnJb1AlIjmrLil1JiLTZN1xHEUiEfn9/hmLUplZB1BMSNYBIAeSs+SZtF2MxWLM7mYoWa8uZT+z3t3drWAwKOmFWXXq1QEUG5J1AMiBbLrC7N69m9ndDMVisdRYTU+yFzuDEYvFVF9fn+r4Qr06gGJ1ku0AAKAUeL1e+Xw+xWIxxePxvMzehsNhDQwMSDLJ6ujoqHbu3CmfzzfvbeLxuEKhkOrr61MJ7sjIiNrb21MlJtNvn+318210dDT1/+ljGo/HF4yju7t7xg6pg4ODkqhXB1B8SNYBIEfa29sVi8UUCoVS5RezhcNhtbe3Z33fgUBALS0tM+43Fotp69at2rZt25wz+uFwWLt3756RtE6/v56eHg0NDS35+vk2vV49yePxyHGcBZP1np4e7dy5M/V9LBZLffBgZh1AsaEMBgByJJO69YGBgaxnpsPhsJqbm9MSTZ/Pp127dqmvr2/OY27fvl27du2a8z6DwWDa7H+218+36fXqSYvVrSd7qk8fY+rVARQzknUAyBGPxyO/3y/HcVIJ4nSO42j9+vVZ328kEtH27dvnvM/W1lZJ6bXyjuOkSmXmk7ztUq5fCNPr1ZOampokzd9rPdlTfTrq1QEUM5J1AMihhRaa7tmzZ0m91UdHR+U4zoz2g9N5vd60mebkwsq2trZ5F2O2t7enrpft9Qthrg8OyfaNyRr06cLh8Jw16dSrAyhm1KwDQA4lZ5/n2s10eHh4Scnurl271N7ePu/MtsfjmbMsJBQKqbOzU7W1tfL5fPL7/WppaUnNMM8ux8n2+vk016y6tHAZTCQSSfuQFI/Hs65XdxxHe/bsSc3e19fXa9u2bQX9oAIASSTrAJBjHR0d6uvrUzgcTiXY8Xg8NSucLY/HM+N+kl1hFqvf7ujokNfrVSAQUCwWUywWU09PjyTzoWLXrl0zEtBsr59P0Wh0zpnw5GOePfsfCAQUCATmvB8p83r15H20t7enzoLEYjF1d3fLcZysdqkFgFygDAYAciy5vf30xC4cDi+pBGb67evr69XZ2Smfz6f+/v5UffZCSajf79fQ0JDGxsbU39+vrq4u+Xw+hcNhbdmyJS3Rz/b6+RKJRFL16dPNbt8omWR6/fr1c45DpvXqsVhMbW1t6uzsVDAYnHEWwefzKRgMKhAIqK2tbd5yJADIB5J1AMgxv98vj8ejaDQ6o1f5UnV2dqYSyUgkklE5h+M4M0pxkrPzwWBQQ0NDikQichwnVWOf7fXzbXR0dM5Z/OmXJZP17u5udXV1zXk/yZn1xerVQ6GQ+vv7F/zg4/V61d/fr1AotOimTACQKyTrAJAH09s4xmKxJS9ujEaj6uvrk9/vnzchnZ04xmIxPfjggwuWbPj9fgWDwVQyOzo6mtX18ykWi805q540vfxndk/16TKtV5+vhGY+yVl2ACgEknUAyIPpXWF279695LaByQ2KkqU1c5ldmhKPxzUxMbFoYp08A5CU7fXzZb569aRksh6JRNJ6qs++H2nhevV4PD5vCc18PB6P6uvrKYcBUBAk6wCwRKOjo/P2Jfd6vfL5fIvWeC/U11x6oVXhfGUX4XA4LVkdHR1VdXW1JC04AxyPx9M+RGR7/XwIhUILdp5JJtbRaHTeWXXphXr1hWbpl7qWoKOjQ7t37876dgCQLZJ1AFiCcDiscDiszs7OeRPp5Ox6e3v7vPeTnJ1dqKOLx+NRd3d32nWi0aji8XgqYU3WnA8NDemcc86RZJL8uXY3TXY4mb1jabbXz6VkuVA8HlcwGJx3XJMfYBbqThOLxVLjsdDZgPnaacZiMdXW1qqiomLOGXSPx0PdOoCCoHUjAGQhFoupsbEx9X00GlVtba1aW1tTJStJ27Ztm3eWuLGxUY7jpBJwx3FUW1ururo6BYPBVKtGj8ejffv2qbu7W21tbWpqakoll83Nzak69lAopO7ubu3evTu1g2dXV1eqzjz5wWF6Yjo0NDQjpmyvnyuzx1Qytf59fX3q6OhIq6VP9oCf3Xc+Ho+nxtXj8aRiD4fDqqiokMfj0d69ezPqFz99cfDu3bsL2mMeAKarSCQSCdtBAABKX09PjwYGBtI+1NjU2dk558Jax3G0detWSZq3S8x8t5XMh43+/v5UKQ4ALBUz6wCAstXY2KhYLJY2c+7xeBY8kzDX2QAAyAdq1gEAZStZqpStUCikbdu25SEiAJiJZB0AULY8Ho9aWlpmbAi1mHA4rJaWloK0sQQAknUAQFlrbW1VJBLJaMOnWCymSCSStrgVAPKFZB0AUPZCoZDi8bgCgcCcLRkdx1EgENDg4OCSymYAYKlYYAoAgExP+3g8ru7u7rSE3ePxqLOzM6udTgEgF0jWAQAFk+x5Lpl+6fnq3b5UXq831ac+W4FAQD09PanvC7HbK4DSR591AEBBOI6j0dHRGZeV0kx1qT8+AHaQrAMAAAAuxQJTAAAAwKVI1gEAAACXIlkHAAAAXIpkHQAAAHApknUAAADApUjWAQAAAJciWQcAAABcimQdAAAAcCmSdQAAAMCl/n+K+fU652yM0AAAAABJRU5ErkJggg==", "text/plain": [ - "1.4953891158064225e-06" + "
" ] }, - "execution_count": 63, "metadata": {}, - "output_type": "execute_result" + "output_type": "display_data" } ], "source": [ - "Rs = 2.25461e-11\n", - "# ds = 8.5\n", - "ds = 770\n", - "c = 3e5\n", - "Rs**2 / (4 * G * ds) * (dlstar/ds) * c**(2) / 3e-6" + "plt.loglog(ms, 4.47/np.sum(results_pbh, axis=0), 'blue', ls=':')\n", + "plt.fill_between(ms, 4.47/np.sum(results_pbh, axis=0), 1e10, alpha=0.3, color='blue')\n", + "\n", + "plt.xlim(min(ms), max(ms))\n", + "plt.ylim(1e-3, 1e0)\n", + "\n", + "plt.xlabel(r'Mass [$M_{\\odot}$]')\n", + "plt.ylabel(r'$f_{\\rm{PBH}}$')\n", + "plt.title('Constraints for 0 or 1 observed event')\n", + "\n", + "plt.tick_params(axis='x', which='both', top=True, direction='in')\n", + "plt.tick_params(axis='y', which='both', right=True, direction='in')\n", + "\n", + "# Set the tick spacing on the x-axis to be twice as dense\n", + "ax = plt.gca()\n", + "ax.xaxis.set_major_locator(plt.LogLocator(base=10.0, numticks=10))\n", + "\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Old" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": {}, + "outputs": [], + "source": [ + "#this is for 1 survey and LoS so constraints would be stronger than this. Also for 0 or 1 observed event\n", + "fdms = np.array([get_constraint_fdm(m, finite=True) for m in ms])" ] }, { "cell_type": "code", - "execution_count": 64, + "execution_count": 54, "metadata": {}, "outputs": [ { - "name": "stdout", - "output_type": "stream", - "text": [ - "Total number of events detected by TESS, inluding finite-source effects: 0.006521184517319793\n", - "Total number of point events detected by TESS, point source: 0.006521184517319793\n" - ] + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" } ], "source": [ - "tess_surveys = df[df['Survey'].str.startswith('tess')]\n", + "ms_earth = ms/3e-6\n", + "plt.loglog(ms, fdms, 'blue', ls=':')\n", + "plt.fill_between(ms, fdms, 1e10, alpha=0.3, color='blue')\n", + "\n", + "plt.xlim(min(ms), max(ms))\n", + "plt.ylim(1e-3, 1e0)\n", "\n", - "total_finite_events_tess = (tess_surveys['N/h finite'] * tess_surveys['obs_time']).sum()\n", - "total_point_events_tess = (tess_surveys['N/h point'] * tess_surveys['obs_time']).sum()\n", + "plt.xlabel(r'Mass [$M_{\\odot}$]')\n", + "plt.ylabel(r'$f_{\\rm{PBH}}$')\n", + "plt.title('Constraints for 0 or 1 observed event from 1 sector')\n", "\n", - "print(\"Total number of events detected by TESS, inluding finite-source effects:\", total_finite_events_tess)\n", - "print(\"Total number of point events detected by TESS, point source:\", total_point_events_tess)" + "plt.tick_params(axis='x', which='both', top=True, direction='in')\n", + "plt.tick_params(axis='y', which='both', right=True, direction='in')\n", + "\n", + "# Set the tick spacing on the x-axis to be twice as dense\n", + "ax = plt.gca()\n", + "ax.xaxis.set_major_locator(plt.LogLocator(base=10.0, numticks=10))\n", + "\n", + "\n", + "plt.show()" ] }, { diff --git a/examples/mock_roman.ipynb b/examples/mock_roman.ipynb index 46d0251..56fa6a8 100644 --- a/examples/mock_roman.ipynb +++ b/examples/mock_roman.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 1, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ @@ -43,7 +43,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 3, "metadata": {}, "outputs": [], "source": [ @@ -53,7 +53,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 4, "metadata": {}, "outputs": [], "source": [ @@ -67,7 +67,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 5, "metadata": {}, "outputs": [], "source": [ @@ -78,7 +78,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 6, "metadata": {}, "outputs": [], "source": [ @@ -95,16 +95,16 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "Survey(l=1.0, b=-1.03, source_dist=8.5, obs_time=43800, cadence = 0.25, survey_area=0, n_sources=10000000.0, efficiency=)" + "Survey(l=1.0, b=-1.03, source_dist=8.5, obs_time=43800, cadence = 0.25, survey_area=0, n_sources=10000000.0, efficiency=)" ] }, - "execution_count": 6, + "execution_count": 7, "metadata": {}, "output_type": "execute_result" } @@ -123,7 +123,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 8, "metadata": {}, "outputs": [], "source": [ @@ -131,10 +131,7 @@ " d_arr = np.linspace(1, s.source_dist, num=1000)\n", "\n", " rho_ffp_mw = [s.mw_model.density_stars(d, l = s.l, b = s.b) for d in d_arr]\n", - " rho_ffp_m31 = [s.m31_model.density_stars(d) for d in d_arr]\n", " rho_dm_mw = [s.mw_model.density_dm(d, l = s.l, b = s.b) for d in d_arr]\n", - " rho_dm_m31 = [s.m31_model.density_dm(d) for d in d_arr]\n", - "\n", " ax.plot(d_arr, rho_ffp_mw, label=\"MW UBOs\")\n", " ax.plot(d_arr, rho_dm_mw, label=\"MW DM\", linestyle=\"--\", color=\"C0\")\n", "\n", @@ -151,7 +148,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 9, "metadata": {}, "outputs": [ { @@ -171,17 +168,17 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "# Define Time Array\n", - "t_es = np.logspace(np.log10(s.cadence)-0.5, np.log10(s.obs_time)+0.5, 30) #hours" + "t_es = np.logspace(np.log10(s.cadence)-0.5, np.log10(s.obs_time)+0.5, 60) #hours" ] }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 11, "metadata": {}, "outputs": [], "source": [ @@ -189,6 +186,7 @@ "p = 1\n", "# m_pbh = 3e-7\n", "m_pbh = 30\n", + "# m_pbh = 1e-3\n", "s.add_ffp(p)\n", "s.add_pbh(m_pbh)" ] @@ -202,19 +200,35 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "pbh_tes_finite = np.array([s.pbh.differential_rate_mw(t, finite=True, v_disp= 280, t_e=True) for t in tqdm(t_es)])" + ] + }, + { + "cell_type": "code", + "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ - "100%|██████████| 30/30 [00:56<00:00, 1.89s/it]\n" + "/Users/nolansmyth/opt/anaconda3/lib/python3.9/site-packages/scipy/integrate/quadpack.py:879: IntegrationWarning: The maximum number of subdivisions (50) has been achieved.\n", + " If increasing the limit yields no improvement it is advised to analyze \n", + " the integrand in order to determine the difficulties. If the position of a \n", + " local difficulty can be determined (singularity, discontinuity) one will \n", + " probably gain from splitting up the interval and calling the integrator \n", + " on the subranges. Perhaps a special-purpose integrator should be used.\n", + " quad_r = quad(f, low, high, args=args, full_output=self.full_output,\n", + "100%|██████████| 60/60 [00:43<00:00, 1.38it/s]\n" ] } ], "source": [ - "pbh_tes_finite = np.array([s.pbh.differential_rate_mw(t, finite=True, v_disp= 220) for t in tqdm(t_es)])\n" + "pbh_tes_point = np.array([s.pbh.differential_rate_mw(t, finite=False, v_disp= 400, t_e=True) for t in tqdm(t_es)])\n" ] }, { @@ -270,13 +284,13 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "def gamma_of_t(dgamma_dt, t):\n", - " t_min = t * 10**(-0.5)\n", - " t_max = t * 10**(0.5)\n", + " t_min = t * 10**(-0.1)\n", + " t_max = t * 10**(0.1)\n", " diff_rates_interp_log = interp1d(np.log10(t_es), np.log10(dgamma_dt))\n", " def diff_rates_interp(t):\n", " return 10**diff_rates_interp_log(np.log10(t))\n", @@ -285,26 +299,24 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 17, "metadata": {}, "outputs": [], "source": [ - "t_es_limited = np.logspace(np.log10(s.cadence), np.log10(s.obs_time), 30) #hours" + "t_es_limited = np.logspace(np.log10(s.cadence), np.log10(s.obs_time), 60) #hours" ] }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 85, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ - "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_29654/802835049.py:4: RuntimeWarning: divide by zero encountered in log10\n", - " diff_rates_interp_log = interp1d(np.log10(t_es), np.log10(dgamma_dt))\n", - "100%|██████████| 30/30 [00:00<00:00, 1267.68it/s]\n", - "100%|██████████| 30/30 [00:00<00:00, 2172.46it/s]\n" + "100%|██████████| 30/30 [00:00<00:00, 1006.51it/s]\n", + "100%|██████████| 30/30 [00:00<00:00, 2009.22it/s]\n" ] } ], @@ -344,7 +356,7 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 18, "metadata": {}, "outputs": [], "source": [ @@ -355,7 +367,7 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 19, "metadata": {}, "outputs": [], "source": [ @@ -418,7 +430,7 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 20, "metadata": {}, "outputs": [], "source": [ @@ -446,14 +458,18 @@ }, { "cell_type": "code", - "execution_count": 36, + "execution_count": 21, "metadata": {}, "outputs": [ { - "name": "stdout", - "output_type": "stream", - "text": [ - "Fraction of pbh samples needed to distinguish: 0.065\n" + "ename": "NameError", + "evalue": "name 'gammas_pbh' is not defined", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_42445/3115951314.py\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0mnum_samples_pbh_temp\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;36m0\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 2\u001b[0m \u001b[0;32mwhile\u001b[0m \u001b[0;32mTrue\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 3\u001b[0;31m \u001b[0msamples_pbh\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0msample_crossing_times\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mt_es_limited\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mgammas_pbh\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mnum_samples_pbh_temp\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 4\u001b[0m \u001b[0msamples_ffp\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0msample_crossing_times\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mt_es_limited\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mgammas_ffp\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mnum_samples_ffp\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 5\u001b[0m \u001b[0msamples_both\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mconcatenate\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0msamples_pbh\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0msamples_ffp\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mNameError\u001b[0m: name 'gammas_pbh' is not defined" ] } ], @@ -506,6 +522,13 @@ "plt.show()" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Comparison with popsycle Evan" + ] + }, { "cell_type": "code", "execution_count": 25, @@ -569,25 +592,25 @@ }, { "cell_type": "code", - "execution_count": 27, + "execution_count": 22, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "254.66329743747602\n" + "192.9365834328922\n" ] } ], "source": [ - "t_e_typical = 4.1 * (1e7)**(1/2) * (8)**(1/2) * (300/50)**(-1) / 24\n", + "t_e_typical = 4.1 * (1e7)**(1/2) * (4)**(1/2) * (280/50)**(-1) / 24\n", "print(t_e_typical)" ] }, { "cell_type": "code", - "execution_count": 28, + "execution_count": 25, "metadata": {}, "outputs": [ { @@ -595,33 +618,27 @@ "output_type": "stream", "text": [ "\n", - " 0%| | 0/30 [00:00" ] @@ -631,13 +648,14 @@ } ], "source": [ - "plt.loglog(t_es_limited/24, gammas_pbh, label=\"PBH, 220km/s\", linestyle=\"-\")\n", - "plt.loglog(t_es_limited/24, gammas_pbh_30, label=\"PBH, 30km/s\", linestyle=\"-\")\n", + "# plt.loglog(t_es_limited/24, gammas_pbh, label=\"PBH, 280km/s\", linestyle=\"-\")\n", + "plt.loglog(t_es_limited/24, gammas_pbh_point, label=\"PBH Point, 400km/s\", linestyle=\"-\")\n", "\n", + "# plt.loglog(t_es_limited/24, gammas_pbh_30, label=\"PBH, 30km/s\", linestyle=\"-\")\n", "\n", "plt.xlim(s.cadence/24, s.obs_time/24)\n", - "plt.ylim(1e-16, 1e-6)\n", - "plt.xlabel(r\"$t$ [day]\")\n", + "plt.ylim(1e-12, 1e-6)\n", + "plt.xlabel(r\"$t_E$ [day]\")\n", "plt.ylabel(r\"$d\\Gamma(t)$ [events/star/hr]\")\n", "plt.title(\"m = {}\".format(s.pbh.mass))\n", "plt.legend()\n", @@ -646,12 +664,12 @@ }, { "cell_type": "code", - "execution_count": 33, + "execution_count": 27, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", + "image/png": 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", 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" ] @@ -663,20 +681,71 @@ "source": [ "num_samples_pbh = 1000\n", "\n", - "samples_pbh = sample_crossing_times(t_es_limited, gammas_pbh, num_samples_pbh)\n", + "# samples_pbh = sample_crossing_times(t_es_limited, gammas_pbh, num_samples_pbh)\n", + "samples_pbh = sample_crossing_times(t_es_limited, gammas_pbh_point, num_samples_pbh)\n", + "\n", + "# samples_pbh_30 = sample_crossing_times(t_es_limited, gammas_pbh_30, num_samples_pbh)\n", "\n", "num_bins = 20\n", "bin_counts_pbh, bin_edges_pbh = np.histogram(samples_pbh/24, bins=np.logspace(1, 4, num_bins))\n", + "# bin_counts_pbh_30, bin_edges_pbh_30 = np.histogram(samples_pbh_30/24, bins=np.logspace(1, 4, num_bins))\n", "\n", "# Plotting the histogram\n", - "plt.bar(bin_edges_pbh[:-1], bin_counts_pbh, width=np.diff(bin_edges_pbh), align=\"edge\", edgecolor=\"black\", label=\"PBH\", alpha=0.5)\n", + "plt.bar(bin_edges_pbh[:-1], bin_counts_pbh, width=np.diff(bin_edges_pbh), align=\"edge\", edgecolor=\"black\", label=\"PBH 400 km/s\", alpha=0.5)\n", + "# plt.bar(bin_edges_pbh_30[:-1], bin_counts_pbh_30, width=np.diff(bin_edges_pbh_30), align=\"edge\", edgecolor=\"black\", label=\"PBH 30 km/s\", alpha=0.5)\n", + "\n", "plt.axvline(s.obs_time/24, color=\"black\", linestyle=\"--\", label=\"Observation Time\")\n", - "plt.axvline(t_e_typical, color=\"red\", linestyle=\"--\", label=\"Typical t_e\")\n", + "# plt.axvline(t_e_typical, color=\"red\", linestyle=\"--\", label=r\"Typical $t_E$\")\n", + "\n", + "plt.xscale('log')\n", + "# plt.yscale('log')\n", + "plt.xlabel(\"$t_E$ [day]\")\n", + "plt.ylabel(\"Count\")\n", + "plt.title(r\"$M_{\\rm{PBH}} = ~$\" + scientific_format(s.pbh.mass))\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "num_samples_pbh = 10000\n", + "samples_pbh = sample_crossing_times(t_es_limited, gammas_pbh_point, num_samples_pbh)\n", + "num_bins = 24\n", + "bin_counts_pbh, bin_edges_pbh = np.histogram(samples_pbh/24, bins=np.logspace(1, 4, num_bins))\n", + "\n", + "plt.bar(bin_edges_pbh[:-1], bin_counts_pbh/np.sum(bin_counts_pbh), width=np.diff(bin_edges_pbh), align=\"edge\", edgecolor=\"black\", label=\"LensCalcPy 400 km/s\", alpha=0.5)\n", + "\n", + "# plt.axvline(s.obs_time/24, color=\"black\", linestyle=\"--\", label=\"Observation Time\")\n", + "\n", + "\n", + "x = [21.39154789826256, 29.2832673143766, 40.84372112156074, 56.37043772527345, 77.79145561997345, \n", + " 106.54379618701142, 146.23929608585925, 205.16629102338942, 274.578895175973, 387.67176368534706, \n", + " 541.6263286087639, 742.7356736774384]\n", + "y = np.array([14.747753500889473, 41.51142635588192, 65.89677507640377, 110.64566893217169, 157.09141084705556, \n", + " 175.71021301829126, 159.37394517173743, 89.41454180540983, 31.33991698216485, 8.890890845231013, \n", + " 6.126670619896885, 4.72266569356384])\n", "\n", + "plt.plot(x, y/np.sum(y), '-o', color='blue', label=\"Popsycle\")\n", "plt.xscale('log')\n", + "# plt.yscale('log')\n", "plt.xlabel(\"$t_E$ [day]\")\n", "plt.ylabel(\"Count\")\n", - "plt.title(r\"$M_{\\rm{PBH}} = $\" + scientific_format(s.pbh.mass))\n", + "plt.title(r\"$M_{\\rm{PBH}} = ~$\" + scientific_format(s.pbh.mass))\n", "plt.legend()\n", "plt.show()" ] diff --git a/nbs/00_pbh.ipynb b/nbs/00_pbh.ipynb index a96093d..70b5e79 100644 --- a/nbs/00_pbh.ipynb +++ b/nbs/00_pbh.ipynb @@ -114,12 +114,15 @@ " return f\"PBH population with mass={self.mass} and f_dm={self.f_dm}\"\n", " __repr__ = __str__\n", "\n", - " def differential_rate_integrand(self, umin, d, t, model, finite=False, v_disp=None):\n", + " def differential_rate_integrand(self, umin, d, t, model, finite=False, v_disp=None, t_e = False):\n", " r = model.dist_center(d, self.l, self.b)\n", " ut = self.umin_upper_bound(d) if finite else self.u_t\n", " if ut <= umin:\n", " return 0\n", + " #! There is a relative factor of 2 u_t difference between t_e and t_fwhm for radial velocity!\n", " v_rad = velocity_radial(d, self.mass, umin, t * htosec, ut) \n", + " if t_e:\n", + " v_rad = v_rad / 2\n", " if v_disp is None: \n", " v_disp = model.velocity_dispersion_dm(r)\n", " return 2 * (1 / (ut**2 - umin**2)**0.5 *\n", @@ -193,8 +196,8 @@ " return d\n", " return self.ds\n", " \n", - " def rate_mw(self, finite=False):\n", - " return self.rate_total(self.differential_rate_integrand_mw, finite=finite)\n", + " def rate_mw(self, finite=False, tcad = 0.07, tobs = 3):\n", + " return self.rate_total(self.differential_rate_integrand_mw, finite=finite, tcad=tcad, tobs=tobs)\n", " \n", " def rate_m31(self, finite=False):\n", " result = self.rate_total(self.differential_rate_integrand_m31, finite=finite)\n", @@ -209,9 +212,9 @@ " # def differential_rate_mw(self, t, finite=False):\n", " # return self.differential_rate(t, self.differential_rate_integrand_mw, finite=finite)\n", " \n", - " def differential_rate_mw(self, t, finite=True, v_disp=None):\n", + " def differential_rate_mw(self, t, finite=True, v_disp=None, t_e=False):\n", " def integrand_func(umin, d, t):\n", - " return self.differential_rate_integrand(umin, d, t, self.mw_model, finite=finite, v_disp=v_disp)\n", + " return self.differential_rate_integrand(umin, d, t, self.mw_model, finite=finite, v_disp=v_disp, t_e = t_e)\n", " return self.differential_rate(t, integrand_func, finite=finite)\n", "\n", " # def differential_rate_m31(self, t, finite=False):\n", diff --git a/nbs/01_ffp.ipynb b/nbs/01_ffp.ipynb index 67c1bcd..3b6738d 100644 --- a/nbs/01_ffp.ipynb +++ b/nbs/01_ffp.ipynb @@ -149,12 +149,14 @@ " m = 10**log10m\n", " return self.Z * (m/1)**-self.p\n", "\n", - " def differential_rate_integrand(self, umin, d, t, mf, model, finite=False, v_disp=None):\n", + " def differential_rate_integrand(self, umin, d, t, mf, model, finite=False, v_disp=None, t_e=False):\n", " r = model.dist_center(d, self.l, self.b)\n", " ut = self.umin_upper_bound(d, mf) if finite else self.u_t\n", " if ut <= umin:\n", " return 0\n", " v_rad = velocity_radial(d, mf, umin, t * htosec, ut) \n", + " if t_e:\n", + " v_rad = v_rad/2\n", " if v_disp is None: \n", " v_disp = model.velocity_dispersion_stars(r)\n", " return 2 * (1 / (ut**2 - umin**2)**0.5 *\n", @@ -200,9 +202,9 @@ " result *= self.Z # normalization\n", " return result\n", " \n", - " def differential_rate_mw(self, t, finite=True, v_disp=None):\n", + " def differential_rate_mw(self, t, finite=True, v_disp=None, t_e=False):\n", " def integrand_func(umin, d, mf, t):\n", - " return self.differential_rate_integrand(umin, d, t, mf, self.mw_model, finite=finite, v_disp=v_disp)\n", + " return self.differential_rate_integrand(umin, d, t, mf, self.mw_model, finite=finite, v_disp=v_disp, t_e=t_e)\n", " return self.differential_rate(t, integrand_func, finite=finite)\n", "\n", " def differential_rate_m31(self, t, finite=True, v_disp=None):\n", diff --git a/nbs/05_parameters.ipynb b/nbs/05_parameters.ipynb index aefe5b1..f663911 100644 --- a/nbs/05_parameters.ipynb +++ b/nbs/05_parameters.ipynb @@ -146,6 +146,10 @@ "display_name": "python3", "language": "python", "name": "python3" + }, + "language_info": { + "name": "python", + "version": "3.9.7" } }, "nbformat": 4, From 3558d6c2f1aa7c0ec2b75f3bbadd3e8a5958925f Mon Sep 17 00:00:00 2001 From: Nolan Smyth Date: Tue, 10 Oct 2023 18:54:01 -0700 Subject: [PATCH 03/17] dev branch --- .gitignore | 5 + LensCalcPy/_modidx.py | 8 + LensCalcPy/ffp.py | 32 +- LensCalcPy/interpolations/ut_interp_rho.pkl | Bin 34490 -> 132435 bytes LensCalcPy/pbh.py | 119 +- LensCalcPy/survey.py | 10 +- LensCalcPy/utils.py | 24 +- examples/Microlensing.txt | 502 ++++ examples/bounds_microlensing.txt | 9 + examples/expected_events_tess.ipynb | 427 +++- examples/hsc_ubo.ipynb | 303 ++- examples/mock_roman.ipynb | 2424 +++++++++++++++++-- examples/roman_figures.ipynb | 2312 ++++++++++++++++++ examples/roman_sensitivity.csv | 31 + examples/t_e_samples.ipynb | 620 +++++ nbs/00_pbh.ipynb | 234 +- nbs/01_ffp.ipynb | 64 +- nbs/03_survey.ipynb | 14 +- nbs/04_utils.ipynb | 147 +- nbs/08_galaxy.ipynb | 28 +- 20 files changed, 6802 insertions(+), 511 deletions(-) create mode 100644 examples/Microlensing.txt create mode 100644 examples/bounds_microlensing.txt create mode 100644 examples/roman_figures.ipynb create mode 100644 examples/roman_sensitivity.csv create mode 100644 examples/t_e_samples.ipynb diff --git a/.gitignore b/.gitignore index 95ff943..a17c6d3 100644 --- a/.gitignore +++ b/.gitignore @@ -2,6 +2,11 @@ _docs/ _proc/ examples/tess_dat +examples/popsycle_data +examples/interps +examples/bounds +examples/figures +examples/draft_figures *.bak .gitattributes diff --git a/LensCalcPy/_modidx.py b/LensCalcPy/_modidx.py index 8b291df..c3ec416 100644 --- a/LensCalcPy/_modidx.py +++ b/LensCalcPy/_modidx.py @@ -103,13 +103,20 @@ 'LensCalcPy.pbh.Pbh.differential_rate': ('pbh.html#pbh.differential_rate', 'LensCalcPy/pbh.py'), 'LensCalcPy.pbh.Pbh.differential_rate_integrand': ( 'pbh.html#pbh.differential_rate_integrand', 'LensCalcPy/pbh.py'), + 'LensCalcPy.pbh.Pbh.differential_rate_integrand_lognorm': ( 'pbh.html#pbh.differential_rate_integrand_lognorm', + 'LensCalcPy/pbh.py'), 'LensCalcPy.pbh.Pbh.differential_rate_integrand_m31': ( 'pbh.html#pbh.differential_rate_integrand_m31', 'LensCalcPy/pbh.py'), 'LensCalcPy.pbh.Pbh.differential_rate_integrand_mw': ( 'pbh.html#pbh.differential_rate_integrand_mw', 'LensCalcPy/pbh.py'), + 'LensCalcPy.pbh.Pbh.differential_rate_lognorm': ( 'pbh.html#pbh.differential_rate_lognorm', + 'LensCalcPy/pbh.py'), 'LensCalcPy.pbh.Pbh.differential_rate_m31': ('pbh.html#pbh.differential_rate_m31', 'LensCalcPy/pbh.py'), 'LensCalcPy.pbh.Pbh.differential_rate_mw': ('pbh.html#pbh.differential_rate_mw', 'LensCalcPy/pbh.py'), + 'LensCalcPy.pbh.Pbh.differential_rate_mw_lognorm': ( 'pbh.html#pbh.differential_rate_mw_lognorm', + 'LensCalcPy/pbh.py'), 'LensCalcPy.pbh.Pbh.differential_rate_total': ('pbh.html#pbh.differential_rate_total', 'LensCalcPy/pbh.py'), + 'LensCalcPy.pbh.Pbh.mass_function': ('pbh.html#pbh.mass_function', 'LensCalcPy/pbh.py'), 'LensCalcPy.pbh.Pbh.rate_m31': ('pbh.html#pbh.rate_m31', 'LensCalcPy/pbh.py'), 'LensCalcPy.pbh.Pbh.rate_mw': ('pbh.html#pbh.rate_mw', 'LensCalcPy/pbh.py'), 'LensCalcPy.pbh.Pbh.rate_tot': ('pbh.html#pbh.rate_tot', 'LensCalcPy/pbh.py'), @@ -145,6 +152,7 @@ 'LensCalcPy.utils.dist_m31': ('utils.html#dist_m31', 'LensCalcPy/utils.py'), 'LensCalcPy.utils.dist_mw': ('utils.html#dist_mw', 'LensCalcPy/utils.py'), 'LensCalcPy.utils.einstein_rad': ('utils.html#einstein_rad', 'LensCalcPy/utils.py'), + 'LensCalcPy.utils.event_duration': ('utils.html#event_duration', 'LensCalcPy/utils.py'), 'LensCalcPy.utils.get_primed_coords': ('utils.html#get_primed_coords', 'LensCalcPy/utils.py'), 'LensCalcPy.utils.integrand_polar': ('utils.html#integrand_polar', 'LensCalcPy/utils.py'), 'LensCalcPy.utils.integrand_polar_wave': ('utils.html#integrand_polar_wave', 'LensCalcPy/utils.py'), diff --git a/LensCalcPy/ffp.py b/LensCalcPy/ffp.py index f88f842..d5786f5 100644 --- a/LensCalcPy/ffp.py +++ b/LensCalcPy/ffp.py @@ -100,14 +100,22 @@ def mass_func(self, log10m): m = 10**log10m return self.Z * (m/1)**-self.p - def differential_rate_integrand(self, umin, d, t, mf, model, finite=False, v_disp=None, t_e=False): + def differential_rate_integrand(self, umin, d, t, mf, model, finite=False, v_disp=None, t_e=False, tmax=np.inf, tmin=0): r = model.dist_center(d, self.l, self.b) ut = self.umin_upper_bound(d, mf) if finite else self.u_t if ut <= umin: return 0 - v_rad = velocity_radial(d, mf, umin, t * htosec, ut) - if t_e: - v_rad = v_rad/2 + if t_e: + #Calculate radial velocity in terms of einstein crossing time + v_rad = einstein_rad(d, mf, self.ds) * kpctokm / (t * htosec) + #crossing duration determined by extent of source in extreme finite limit + t_duration = max(ut, self.umin_upper_bound(d, mf)) * 2 * einstein_rad(d, mf) * kpctokm / v_rad / htosec #event duration in hours + + if t_duration > tmax or t_duration < tmin: + return 0 + else: + #Calculate radial velocity in terms of event duration (t_fwhm) + v_rad = velocity_radial(d, mf, umin, t * htosec, ut) if v_disp is None: v_disp = model.velocity_dispersion_stars(r) return 2 * (1 / (ut**2 - umin**2)**0.5 * @@ -117,7 +125,7 @@ def differential_rate_integrand(self, umin, d, t, mf, model, finite=False, v_dis np.exp(-(v_rad**2 / v_disp**2)) * 1) - def differential_rate(self, t, integrand_func, finite=False): + def differential_rate(self, t, integrand_func, finite=False, epsabs = 1.49e-08, epsrel = 1.49e-08): #rewrite using tplquad? num = 40 # number of discretization points, empirically, result levels off for >~ 40 mf_values = np.linspace(np.log10(self.m_min), np.log10(self.m_max), num=num) @@ -138,6 +146,8 @@ def differential_rate(self, t, integrand_func, finite=False): lambda d: 0, lambda d: self.umin_upper_bound(d, 10**mf), args=(10**mf, t), + epsabs=epsabs, + epsrel=epsrel, ) else: single_result, error = dblquad(integrand_func, @@ -146,6 +156,8 @@ def differential_rate(self, t, integrand_func, finite=False): lambda d: 0, lambda d: self.u_t, args=(10**mf, t), + epsabs=epsabs, + epsrel=epsrel, ) result += single_result * ((10**mf/1) ** -self.p) * dm # multiply by mass function and by dlogm. This is for dN/dlogM @@ -153,15 +165,15 @@ def differential_rate(self, t, integrand_func, finite=False): result *= self.Z # normalization return result - def differential_rate_mw(self, t, finite=True, v_disp=None, t_e=False): + def differential_rate_mw(self, t, finite=True, v_disp=None, t_e=False, epsabs = 1.49e-08, epsrel = 1.49e-08, tmax=np.inf, tmin=0): def integrand_func(umin, d, mf, t): - return self.differential_rate_integrand(umin, d, t, mf, self.mw_model, finite=finite, v_disp=v_disp, t_e=t_e) - return self.differential_rate(t, integrand_func, finite=finite) + return self.differential_rate_integrand(umin, d, t, mf, self.mw_model, finite=finite, v_disp=v_disp, t_e=t_e, tmax=tmax, tmin=tmin) + return self.differential_rate(t, integrand_func, finite=finite, epsabs=epsabs, epsrel=epsrel) - def differential_rate_m31(self, t, finite=True, v_disp=None): + def differential_rate_m31(self, t, finite=True, v_disp=None, epsabs = 1.49e-08, epsrel = 1.49e-08,): def integrand_func(umin, d, mf, t): return self.differential_rate_integrand(umin, d, t, mf, self.m31_model, finite=finite, v_disp=v_disp) - return self.differential_rate(t, integrand_func, finite=finite) + return self.differential_rate(t, integrand_func, finite=finite, epsabs=epsabs, epsrel=epsrel) def differential_rate_mw_mass(self, m, finite=True, v_disp=None, tcad=0.07, tobs=3, epsabs = 1.49e-08, epsrel = 1.49e-08, efficiency=None, monochromatic=False): def integrand_func(umin, d, t, mf): diff --git a/LensCalcPy/interpolations/ut_interp_rho.pkl b/LensCalcPy/interpolations/ut_interp_rho.pkl index d225428b7257895e56cbd31f32600876adb76cf6..f7ba08505c478dd2044828c9f13cadd98723ae01 100644 GIT binary patch literal 132435 zcmbTec{G*b_cwe7^E}V9lvFA*B-s~=lqOS(P>9M$2Ektjl?S&EP}X^@hl!4wVB zOlCRrd_0%F>-+rPKi+q}&w9?X+|G1g_xYSXeD-JWOPWa0brO*4c@sY(R^oA zTxiUm=!k7`q2_`Ak2{6A692hp5mI=naPFbPltR;7a$N9kd{B+r7m42*932yC9=R_f zZs)d`m~DxLxiWzK>@fy+?suPfG%*hR+H?P}x$RH$F!y7{9U4L+jz=c?4{z_VBUo;pYe{iRGpuX+YJTYU*JJ;a2t 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z3^8c26@wOgF=$bQK?@BGTA2NdgBINwv~a+nMLh;BVlik@i9w5#7__Ltpv5N)TEzZ~ zgBA)Hw3vxO3o{H_EXANj8wM?uFlccZgBDr8L5uMZ1&Iz?IAPFY1cMgOF=)|@L5q19 zw3v%Q3$8yIwAhY8izp0Q+{K_p8wM@nF=)~7i$DuL3|h>@poKpMEiPctVkHJG?0ykw z5rILA4;ZwN!k|Se1}zq2&|=vy0xg;_XfXwY79$w6n1MkHyI%}i9KxUl34<1UFlg}u zgBB&f7__j(poJj@Eiy4^;e$bo@LvpCoWP)k4F)YJ7_`vDphfC01}%1A(1Hhp7Mn0= zQIA23fL{z+yu_e|IR-7dFldoY5YVCngBBJTv=GOjMI%8#3pET{2x8De6@wO=2?AQI z#GnNUgBB(jv{*wB(1Hhp78fvRu^NLG<^%yP$}niL2!j@e7_>M*5YVCwgBFSywD^ue zixmU`E!JSrVjl)A&Fwo)v1}zFOXmNsIpoInoEs`*3ahG7Ag&GDe1TbiEm0+NS z1qLlzF=%m~V4y`71}!oP3R;}SpoJPiL5s&2v^Yvo&_WP{7PANnTI|Q5#Q;G;ivbK; z*bo%7U|`TXkqsowD=27@jv-x{9Ed@2)7{r^$b7mB<@fzk3f$QMk>Qkaslu0V?Rp~V(el# xFp_?5<-uVs;ODB@<7E=yRgr&GFurQyi}` str: return f"PBH population with mass={self.mass} and f_dm={self.f_dm}" __repr__ = __str__ - def differential_rate_integrand(self, umin, d, t, model, finite=False, v_disp=None, t_e = False): + def mass_function(self, m): + """The mass function of the PBH population""" + if not self.sigma or not self.lognorm: + raise ValueError("Lognormal mass function not initialized") + return 1 / (m * self.sigma * np.sqrt(2 * np.pi)) * np.exp(-(np.log(m/self.mass))**2 / (2 * self.sigma**2)) + + def differential_rate_integrand(self, umin, d, t, model, finite=False, v_disp=None, t_e = False, tmax=np.inf, tmin=0): + # def differential_rate_integrand(self, umin, d, t, mf, model, finite=False, v_disp=None, t_e = False, tmax=np.inf, tmin=0): + r = model.dist_center(d, self.l, self.b) ut = self.umin_upper_bound(d) if finite else self.u_t if ut <= umin: return 0 - #! There is a relative factor of 2 u_t difference between t_e and t_fwhm for radial velocity! - v_rad = velocity_radial(d, self.mass, umin, t * htosec, ut) - if t_e: - v_rad = v_rad / 2 + if t_e: + #Calculate radial velocity in terms of einstein crossing time + v_rad = einstein_rad(d, self.mass, self.ds) * kpctokm / (t * htosec) + t_duration = max(ut, self.umin_upper_bound(d)) * 2 * einstein_rad(d, self.mass) * kpctokm / v_rad / htosec #event duration in hours + + if t_duration > tmax or t_duration < tmin: + return 0 + else: + #Calculate radial velocity in terms of event duration (t_fwhm) + v_rad = velocity_radial(d, self.mass, umin, t * htosec, ut) if v_disp is None: v_disp = model.velocity_dispersion_dm(r) return 2 * (1 / (ut**2 - umin**2)**0.5 * @@ -138,12 +160,14 @@ def integrand(t, d, finite): result, error = nquad(integrand, [bounds_t, bounds_d], args=[finite], opts=opts) return result - - def d_upper_bound(self): + + def d_upper_bound(self, m=None): + if m is None: + m = self.mass #Determine upper limit for d otherwise for low masses, the contribution which only comes from d << 1 gets missed d_arr = np.logspace(-3, np.log10(self.ds*0.99), 100) for d in d_arr: - if self.umin_upper_bound(d) == 0: + if self.umin_upper_bound(d,m=m) == 0: return d return self.ds @@ -159,26 +183,21 @@ def rate_m31(self, finite=False): def rate_tot(self, finite=False): return self.rate_mw(finite=finite) + self.rate_m31(finite=finite) - - # def differential_rate_mw(self, t, finite=False): - # return self.differential_rate(t, self.differential_rate_integrand_mw, finite=finite) - def differential_rate_mw(self, t, finite=True, v_disp=None, t_e=False): + def differential_rate_mw(self, t, finite=True, v_disp=None, t_e=False, tmax=np.inf, tmin=0): def integrand_func(umin, d, t): - return self.differential_rate_integrand(umin, d, t, self.mw_model, finite=finite, v_disp=v_disp, t_e = t_e) + return self.differential_rate_integrand(umin, d, t, self.mw_model, finite=finite, v_disp=v_disp, t_e = t_e, tmax=tmax, tmin=tmin) return self.differential_rate(t, integrand_func, finite=finite) - - # def differential_rate_m31(self, t, finite=False): - # return self.differential_rate(t, self.differential_rate_integrand_m31, finite=finite) def differential_rate_m31(self, t, finite=True, v_disp=None): def integrand_func(umin, d, t): return self.differential_rate_integrand(umin, d, t, self.m31_model, finite=finite, v_disp=v_disp) return self.differential_rate(t, integrand_func, finite=finite) - def umin_upper_bound(self, d): - # return self.ut_interp(d, self.mass)[0] - rho = rho_func(self.mass, d, self.ds) + def umin_upper_bound(self, d, m=None): + if m is None: + m = self.mass + rho = rho_func(m, d, self.ds) return self.ut_interp(rho, magnification(self.u_t)) def differential_rate_total(self, t, finite=True): @@ -194,3 +213,65 @@ def sticking_point(self): return result.x[0] if isinstance(result.x, (list, np.ndarray)) else result.x else: return self.ds + + def differential_rate_lognorm(self, t, integrand_func, finite=False, epsabs = 1.49e-08, epsrel = 1.49e-08): + #rewrite using tplquad? + num = 20 # number of discretization points, empirically, result levels off for >~ 40 + mf_values = np.linspace(np.log10(self.mass)-2, np.log10(self.mass)+2, num=num) + + result = 0 + for i in range(num): + mf = mf_values[i] + if i == 0: # for the first point + dm = mf_values[i+1] - mf_values[i] + elif i < num - 1: # for middle points + dm = ((mf_values[i+1] - mf_values[i]) + (mf_values[i] - mf_values[i-1])) / 2 + else: # for the last point + dm = mf_values[i] - mf_values[i-1] + + if finite: + single_result, error = dblquad(integrand_func, + # 0, 10, + 0, self.d_upper_bound(10**mf), + lambda d: 0, + lambda d: self.umin_upper_bound(d, 10**mf), + args=(10**mf, t), + epsabs=epsabs, + epsrel=epsrel, + ) + else: + single_result, error = dblquad(integrand_func, + #Without finite size effects, integral blows up at M31 center + 0, self.ds, + lambda d: 0, + lambda d: self.u_t, + args=(10**mf, t), + epsabs=epsabs, + epsrel=epsrel, + ) + + # result += single_result * ((10**mf/1) ** -self.p) * dm # multiply by mass function and by dlogm. This is for dN/dlogM + result += single_result * self.mass_function(10**mf) * dm * 10**mf # multiply by mass function and by dlogm * m. + return result + + def differential_rate_integrand_lognorm(self, umin, d, t, mf, model, finite=False, v_disp=None, t_e = False, tmax=np.inf, tmin=0): + + r = model.dist_center(d, self.l, self.b) + ut = self.umin_upper_bound(d) if finite else self.u_t + if ut <= umin: + return 0 + else: + #Calculate radial velocity in terms of event duration (t_fwhm) + v_rad = velocity_radial(d, mf, umin, t * htosec, ut) + if v_disp is None: + v_disp = model.velocity_dispersion_dm(r) + return 2 * (1 / (ut**2 - umin**2)**0.5 * + model.density_dm(d, self.l, self.b) / (mf * v_disp**2) * + v_rad**4 * (htosec / kpctokm)**2 * + np.exp(-(v_rad**2 / v_disp**2)) * + 1) + + def differential_rate_mw_lognorm(self, t, finite=True, v_disp=None, t_e=False, tmax=np.inf, tmin=0): + def integrand_func(umin, d, mf, t): + return self.differential_rate_integrand_lognorm(umin, d, t, mf, self.mw_model, finite=finite, v_disp=v_disp, t_e = t_e, tmax=tmax, tmin=tmin) + return self.differential_rate_lognorm(t, integrand_func, finite=finite) diff --git a/LensCalcPy/survey.py b/LensCalcPy/survey.py index b482c95..9bc6d29 100644 --- a/LensCalcPy/survey.py +++ b/LensCalcPy/survey.py @@ -60,16 +60,22 @@ def __str__(self) -> str: def add_pbh(self, m_pbh: float = 1, # mass of each PBH in solar masses f_dm: float = 1, # fraction of DM in PBHs + lognorm=False, + sigma=None, ): """adds a PBH population to the survey""" - self.pbh = Pbh(m_pbh, f_dm, l=self.l, b=self.b, u_t=self.u_t, ds=self.source_dist) + # self.pbh = Pbh(m_pbh, f_dm, l=self.l, b=self.b, u_t=self.u_t, ds=self.source_dist) + self.pbh = Pbh(m_pbh, f_dm, l=self.l, b=self.b, u_t=self.u_t, ds=self.source_dist, lognorm=lognorm, sigma=sigma) + return def add_ffp(self, p: float, # power law index of FFP mass function + m_min: float = 1e-15, # minimum mass of FFPs in solar masses + m_max: float = 1e-3, # maximum mass of FFPs in solar masses ): """adds a FFP population to the survey""" - self.ffp = Ffp(p, l=self.l, b=self.b, u_t=self.u_t, ds=self.source_dist) + self.ffp = Ffp(p, l=self.l, b=self.b, u_t=self.u_t, ds=self.source_dist, m_min=m_min, m_max=m_max) def get_crossing_times_rates_pbh(self, t_es: np.ndarray, diff --git a/LensCalcPy/utils.py b/LensCalcPy/utils.py index 31fb78c..12248ba 100644 --- a/LensCalcPy/utils.py +++ b/LensCalcPy/utils.py @@ -4,8 +4,8 @@ __all__ = ['ut_interp', 'ut_interp_mw', 'ut_interp_rho', 'm_low_interp', 'm_high_interp', 'rho_min', 'rho_max', 'rhos', 'A_thresh_min', 'A_thresh_max', 'A_threshs', 'dist_mw', 'dist_m31', 'density_mw', 'density_m31', 'mass_enclosed_mw', 'mass_enclosed_m31', 'velocity_dispersion_mw', 'velocity_dispersion_m31', 'dist', - 'einstein_rad', 'velocity_radial', 'get_primed_coords', 'scientific_format', 'w_func', 'rho_func', - 'magnification', 'magnification_wave', 'displacement', 'integrand_polar_wave', 'integrand_polar', + 'einstein_rad', 'velocity_radial', 'event_duration', 'get_primed_coords', 'scientific_format', 'w_func', + 'rho_func', 'magnification', 'magnification_wave', 'displacement', 'integrand_polar_wave', 'integrand_polar', 'magnification_finite_wave', 'magnification_finite', 'u_t_finite', 'u_t_point', 'u_t_finite_wave', 'make_ut_interp', 'ut_func_new'] @@ -88,6 +88,18 @@ def velocity_radial(d: float, # distance from the Sun in kpc ) -> float: # radial velocity in km/s return 2*einstein_rad(d, mass) * (ut**2 - umin**2)**(1/2) / t * kpctokm +def event_duration(d: float, # distance from the Sun in kpc + mass: float, # mass of the lens in Msun + umin: float, # minimum impact parameter + v_rel: float, # transverse velocity in km/s + ut: float, # threshold impact parameter + ds: float, # distance to the source in kpc + ) -> float: # event duration in seconds + # return 2*einstein_rad(d, mass)* kpctokm * (ut**2 - umin**2)**(1/2) / v_rel + rho = rho_func(mass, d, ds) + return 2* (1 - ((umin + rho)/ut)**2)**(1/2) * einstein_rad(d, mass) * kpctokm * (ut + rho) / v_rel + + # from below 16 of https://iopscience.iop.org/article/10.3847/1538-4357/ac07a8/pdf*) # alphabar = 27 Degrees xp-axis is aligned with the major axis # of the Galactic bar,where \[Alpha]bar=27\[Degree] is applied as the bar angle. @@ -243,10 +255,12 @@ def calc_ut_arr(m): #Ratio of angular extent of source and lens in plane of lens # rho == theta_s/theta_l rho_min = 0.1 -# rho_max = 4.5 -rho_max = 10.1 +rho_max = 4.5 +# rho_max = 10.1 + +# rhos = np.linspace(rho_min, rho_max, 100) +rhos = np.linspace(rho_min, rho_max, 40) -rhos = np.linspace(rho_min, rho_max, 100) A_thresh_min = 1.01 A_thresh_max = 1.34 diff --git a/examples/Microlensing.txt b/examples/Microlensing.txt new file mode 100644 index 0000000..af196b1 --- /dev/null +++ b/examples/Microlensing.txt @@ -0,0 +1,502 @@ +# Envelope of microlensing bounds: OGLE, SNe, M, HSC, EROS, Icarus, Microlensing-LongDuration, Quasars-Xray +# Columns: PBH mass [Muns], PBH fraction f_PBH 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HSC +EROS C0 - 2e-2 2.5e-2 0 EROS +Icarus C0 - 5e-2 1.02e-1 0 Icarus +Microlensing-LongDuration C0 - 3e1 2.2e-1 0 Long +Quasars-Xray C0 - 3e1 8.5e-3 0 Quasars \ No newline at end of file diff --git a/examples/expected_events_tess.ipynb b/examples/expected_events_tess.ipynb index 2b439d9..80b0c32 100644 --- a/examples/expected_events_tess.ipynb +++ b/examples/expected_events_tess.ipynb @@ -9,9 +9,18 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": 374, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The autoreload extension is already loaded. To reload it, use:\n", + " %reload_ext autoreload\n" + ] + } + ], "source": [ "from LensCalcPy.survey import *\n", "from LensCalcPy.ffp import *\n", @@ -38,7 +47,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 375, "metadata": {}, "outputs": [], "source": [ @@ -48,7 +57,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 376, "metadata": {}, "outputs": [], "source": [ @@ -61,7 +70,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 378, "metadata": {}, "outputs": [], "source": [ @@ -80,7 +89,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 379, "metadata": {}, "outputs": [], "source": [ @@ -94,7 +103,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 387, "metadata": {}, "outputs": [], "source": [ @@ -117,7 +126,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 8, "metadata": {}, "outputs": [], "source": [ @@ -152,9 +161,20 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 25, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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ACBUFJwAAAAAAAISKghMAAAAAAABCRcEJAAAAAAAAoaLgBElSKpXS/Py8IpGIIpGIbNs+9DXVatWbP5FIKJvNSpKKxaISiYT33Pz8vPL5fMvrUqmU93w0GlUmk+lYdjQaVSQS0ezsbMfz3WSzWWUyGe/Hfe98Pi/LsnpeDiTbtjs+G4lEQplMRtVqNfT3G9S+syxL8/Pzmp2d1fz8fFjNDYVt2956JxIJzc/Pq1wud8xXq9WUSqX63g7uPvRbZi/y+byy2azXxmKxeKz1kOTt31QqFbi8XlWrVW/fplKpYy3rpLjfl7VaTdL+59Pddv3I5/PKZDLKZrNd97G7b9x9mUgkWr6Tm4W5b4BxRm6CH3LT4PWTN3o93h41Yx2nba5isejlrGw263vsnfTc5DpOpu1n3wwr044tB2iSTCYdSU4ulzt03kKh4BiG4cRiMd/nY7GYI8nZ3t72fT6dTjuSnEqlEvgepmk69Xq9p7a771kqlVqm1et1b736WRYObG9vO5Ic0zQH9h4nse/i8Xjg53UYtre3nXQ63fI7srW15Uhykslky7ylUsmR1PWnUCh48yeTSSedTnu/Z+3bthfpdLpjuxcKBSedTh95PdqXWSgUWtp9VLFYrOO9RpX73dj8E4/H+1pGPB7v2A+maXbsZ3fftE8zDOPE9g0wzshN8ENuGox+8obj9H687TdjhdG27e1tJx6Ptyx3a2vLMU3T2dra8qaRm46fafvZN6OQaccNBSe0WFlZceLx+KEHyO3tbadUKjmGYQT+oVQoFLp+QVcqFUeSs7KyEvg+vQS45nmDvjjr9TrB6ZgkDSx0nNS+S6fTIxWcVlZWfP+wyOVyHX9U5HI5r8jQ/pNMJgPXy91+/R6cK5VK4O9mLBZraXc/69Fe/Aia1q94PH6qgpP7mV9ZWen6x6Mf97u1fZu738l+87a/h98fJIPaN8A4IzchCLkpfP3kDcfp/Xh71Ix13La1H2MrlYpjGMaJHJtPU25yHTXT9rNvRiHTjhsuqUOHTCYjy7K6dv3d2NhQMpnsupzFxUVJUqlU8n3e7bYa1P2wWq0qHo/30mRJUqVSkWmavs+ZpnloezE8k7rvyuWyb1d193Pf/Ltz48YNVSoVFQqFjp+5uTldvXo11LbVarXAruWmabY81+t62LYtwzBCbedpNDc3p5WVFZVKJeVyub6+5yQpl8spFot1bMtYLCbbtlu6fS8sLPhu87m5OUnyLgNi3wBHR27CSZvUfddPbpJ6P96GkbH6aVutVlO5XPYuq22ed3t729u3HJvD0c++IdOGj4ITOiSTSRmGoUKhcKzlGIaheDyuarXqO7ZBvV5XOp2WbdvetdXNarWaYrFYX+/ZLewlEom+loWTNYn7zjRNNRqNjunuAaz5uaBtUC6XlUgkQj/omaapcrns+4dN++9mr+thGIZs2+6pWIVglmV5BaNmbkCtVCretFgspu3t7Y6QXa1WZZqmtx/ZN8DRkZswDJO47/rJTf0II2P107a1tTUZhhFYNGx+Lcfm4+tn35Bpw0fBCb4WFxdVLpd9A0+tVuv5DJo7GN3GxkbLdNu2FY1GveevXLlyvAY/eK9araZMJuPb7nQ67X2x12o138EQg6Y3D7DnDj6Yz+eVSCS8P8rdASLdeZpfOzs76w0c2bwN3AEe3UF/mwNkt2WWy+WWwShHWT6f936CBkPsZ9+5EonEyK/7YSqVira3tzumu5+DS5cuedP8fucsy9K1a9cGciYzmUzKNE1vwETbtr3BGtvPIPazHrlcTrlczhtk0bIspdPp0Nrt/m42D3Y+qmq1morFou8fjsexubnZ9flyuaxGo9GxHwe9b4BxRm4iN4WF3BSsn7zR/ny3420YGauftlmWJdM0Zdv2ofua3HR8/eybUcq0Y2PY1/RhtLjjArjXyPqNI9A8rdtYBI5zMGhi+zyFQsG7PtYwjI5xRyqVSsuAeb2Kx+Pe4H6maTrpdLrrdb6xWMz3uuygQRLdZbpjJJim2XL9c/tj18rKSst2q9frjmEYLevoN81dpt82bl/moOkIYxH4DWi5srLiu4363XemafY9GOeojUUQJB6PO4ZhBA4c6+rl2vujXu/uOAcDWrr7pX3spsP0uh5hcN+rfT0LhcLI7fP2sSQqlYoTi8V6Hm/DNE3fdeo2SG29XvfGsYjH4yeyT4BJQG46WA65qRW56eQE5Y3jHG/DGt/Ir23u73j7mGt+4zoNymnKTa7jZFo//eTUk8y044aCE1o0D0QZFCqaf8kPC06Oc3BAbB9k2OXecaA5MPQz6GU794vSPQhL8g0kjuMEDgQYNL39y6b9S8cdUK5d+wCfQQP1uX8MHmWZg9ZvcEqn04GfDb8DnOP0t++Oot/gtLKy4gW0fn6OcyB0B4U9bBmlUqmn35PjHpwLhYI3wLQC7rTip9f1CEu3O+mYptnz78tJ7HO/P3hyuVzPfwgEfSe4d9nptpzt7W3vvcL6vQImGbmp+3RyE7lpmLnpqMfbXjPWUdrmFpXlM7C7m9n6vZnIUZym3OQKs+DUT0496Uw7big4oUXzl4t7t5TmL8P2X7ReglP7XVe2t7dbDgB+d10J40veXfbKyor3xd4edIIOpEHTD7s9rHsQaV4/9w+89nn81tG9ZXK/yzwJ/QanoDO9jrMfEA872B+2747iNJypMwyjpzOwvd76+jgH53g87r2uXq97fwSZpnno/uh1PcISj8cDv4vS6XTH79WocW+52+t+isViHdvXvQNWL59x9w9W7kAFHA+5qft0chO5adD6zRu9HG97zVhHbVu3k0P9nNw7jtOYm8IsOPXzuTnpTDtuGMMJgdxrUHO5nDftKIPxtd91ZWNjw5sm7V83bRiGd91ytVrte9DLIPF4XLlczhtEd21t7djL9Bus1+UO+Nk8cGixWGy5ntcdX6Ver6tYLLb8SK3bO2iZGxsbfV0jbFmW70/Y3AEs3eucg7bV3Nzcoe8/iH036lKplFZXVw/dt+4d5A4bbPI4MpmMUqmUN3aBaZreHVwsy+p6jX+v63FS3IEd/ca5GBV+A353s7W1pXq93jLWRzKZlG3bWlhYOPT17jgw4zhWAzAs5CZ/5KZg5KbjOUreOOx4G1bGOqxtQQORG4YxkM9aP05DbjqOfj43o5ZpT6Nzw24ARlsymdTGxob3R2Yvf8i0MwxDsVjMu+tKvV7v+JJdXFz0BvOr1WpaWVnp+32y2WxH6HDF43HF4/FQBuc97E4V7h/q7sHqxo0bLa9xw0Qikeh5IML2Zfptw27aB9Z0OY7T8zJ64Q6M2m/APql9N8qy2awuXbrU02e/UCgMtNgk7Qd+v8+He4ekoAFr+1mPSeT+Hm9tbfk+38/vTvvvjBsMo9GoN21+fl5zc3Mdwdr9Hhr33yvgpJGbOpGbgpGbju6wvHHU420YGeuwtrkDhvsZ1yLPqOgnp5Jpw0HBCV1lMhmVy2XvrkZHre66o/evra21/DHkSqVSKhaLKhQKvs/34rADaywW6/mMwVFvqyq13h55aWmp444Z7lnIfs5euAGrUCgok8kE3oUjSNDBNkzubdYleQE7aB0bjUbLwTzMfRembDbb9bbDQVZXV/u6c1yxWNTFixc7DmjtZ3ld1Wq1r+ActmQy6Vtw6nc9Topt2zIMo6dtNuh9XqvVfIOs+53T7+92M7fdzdv6sPcLq1cEgH3kpv6Rm8hNg8hNRz3eHjdj9dK2eDzecSfKZkcpVIdplHJTmPrJqaOaaU+lIV/SNzTb29tOqVTqej10oVDwflZWViZiVHq/AeLcu334Xbvay1gEjtM6QF7QdjQM41gD5fmNadL+fPs1v+l02vczEHQnj6BBK9utrKw4hmEEDrjnDrDnJ+juFO711Cc9BoFLh4xFkEwmW/Zd0ACi7rKa99VR9t1RjOJYBJVKJXCfBk2Xzx2Mghz1evdYLBb4u1goFDradpT1CFO3cUKG+XvTLug7wR3ktpfjjDtWU/u8fne8CbojnTvOBwNgoh9kp07kpn3kpk7kpsHoNW8c9XjbT8Y6atvcbNY+TpQ7vtRJ3NTjtOSmZscZw6mfnDrsTDtuJnIMp1qt5lWVg6r/5XJZlUpF6XRa6XRaq6urunz58kk288RZluV7xiSTyaharbaMH+Cybbuns1pu9/BYLBZYLV9cXPSuuz+qSqWibDbb0R01n89rbm6uo5LudrdtVi6XZZpm4Hr10tU1k8l0nS+Xy8kwDOXz+Y73dsdWCVrmjRs3Dn3/sB22zu4Z3eYzSevr67Jt2xtjoXneeDzecXag330XjUaPdFZ3lLoqW5alTCajer2ubDarbDbrndVOJBK+Z+b6bb87f7ffU79tWSqVlMlkOn4/arWaKpVKyxmfo6xHN7Ozs0fat6Zpdpxly2azWlhYGJnu0Kurq8pkMi3TarWa1tbWVCqVOr4f/faNe6a7ed5sNivDMDrWs1AoaHl5ueVzY1mW8vm80un0iZ9dxOlFdupEbtpHbupEbhqMfvJGv8dbqfd19duW/bTNNE2trKx0tG95eVkrKyt99z4e59zU7KiZtp99E3amhRRxnJAvRj5FLMtSNBr1vR57fn5e6+vrLb/wiURC2Wz2WAf2UZVKpbyxAkzTVCaT8b5obNvW8vKyN3ilJO8PUfdLKplMHnqNq3sADeqGWK1WVSqVWgZ57Ecmk/HGTCgUCi1fSt3als/nde3aNa9rbSwWU6lU0sbGhkzT1OrqqkzT1Nramsrlcs/rm0gkDr0O3B2w9+LFi5L2u9h2O8hEo1GVSqUTuwzG3ffNoTqZTGpubk6NRkO2bWtzc9Pb1n6/S83rWK/XNT8/3/EZOMq+Cxqbxo87yLX7GU8mk16AG6ZoNNq1y/vW1pbvvp6dnVU6nQ4cv0Ha3+7ufrMsy/ujZG5uruN3LGhbWpbV8R7RaLRjfxx1PYLMz8974y70emB3x7OoVquqVCpdP2/DZtu2VyByt9vq6qrvNgraN+1/ZHRbz+b3s23bC1MUm3AUZKd95CZykx9y02D1mzf6Od66eslYftvyKFmoWCyqUql4n4+lpaUjHZvHPTcdN9P2s2/CzrSg4OQbmmzb1uzsrLa3t1uq324V+qgHduC4ug0SCYwTN6hzUAdGC9kJpwm5CZOC3IRRdWoGDW+uUHc7cLhV2mg06lX7++0S6FY127taGoYx9nd8wOiybfvIA4MCp83m5qbv5SgAekd2wiQjN2GSkJswqka+4OR2obt06ZKq1WrXrpzlcllXrlxp6cJcrVaVSCR66j7q6nZd6HHuwgH0o1ar6cqVK94fCRsbGxxIMDHcO6QA6B/ZCZOI3IRJRm7CqBr5QcNzuZxKpZJWVla6/hK510yvr6+3TI/H42o0Gh0D8PVilAbJw+S5cuWKN/aBbduam5vjQIKJwHcvcDxkJ0wichMmFd+7GGUj38OpV+5AhX4HlqWlJRUKhZ4HQJubm/Od7h68gJOwuroqSd4dWUbxbhHAIBSLRT7vwAkgO2GckJswqchNGGVjU3AqlUqBgcY0TdVqtZ67Grqj+zcajZb5G40GA7HhxBw25gYwrghNwMkgO2GckJswqchNGGUjf0ldrzY3NwNvA+lO73aLw2aGYSgWi3XMb1mWEonE8RoKAAAwAshOAABgkMamh1MvZ+Asy2o5y9btetfV1VWVSiVvoE133m4Db0rS/fv39corr+j8+fOKRCLe9KmpKU1NTXVfCQAA0LO9vT3t7e15jx3H0Z07d/TUU0/pzJmxOac2MKOQnchNAACcjGHkprEpOHXjhin3LimWZalcLnt3X0mlUrp06ZLS6bQ3bzKZ9AbMnJub07Vr13T16tVD3+uVV17hFqwAAAxRvV4P7LmD3pxUdiI3AQAwXIPMTRNRcGpnmqZWVlYOvd61eaDMZDLZ07LPnz8vSfrUpz6lJ554wpvOmbqTsbu7qyeffFKf+9znND09PezmTCT2wXCx/YeL7X+y2s/Uff7zn9c73/lO71iM8AwqO5Gbho/vreFi+w8X23+42P4naxi5aSIKTm6X7pO4S4rbHfyJJ57Q29/+9oG/H/xNT0/zpTVk7IPhYvsPF9t/uJovzcLRnFR2IjeNDr63hovtP1xs/+Fi+w/XIHMTAxwAAAAAAAAgVGNTcDJNM/BOKu74A4znAAAAsI/sBAAABmlsCk6xWCzwzilumGq+y8qguOMNMO7AcExNTemDH/wg23+I2AfDxfYfLrb/cHEM7s8oZCf22fDxvTVcbP/hYvsPF9t/uE7iGDw2BadEIhF4lq5er3e9JW+YCE7DNTU1pQ996ENs/yFiHwwX23+42P7DxTG4P6OQndhnw8f31nCx/YeL7T9cbP/houDUh8XFRTUaDd/gVC6XlclkhtAqAACA0UR2AgAAg3SqCk62bXtjCrQzDEPr6+vKZrMt08vlskzT7OnWvAAAAOOE7AQAAIbl3LAbcJh8Pq9r167JsizvJ5FIyDAMLS0ttYShZDIpwzCUzWYVjUa9cQkqlcqQWg8AAHCyyE4AAGAURBzHcYbdiHGyu7urmZkZ7ezsaHp6etjNAQBgYnAMPn3YZwAADMdJHINP1SV1AAAAAAAAGH0UnAAAAAAAABAqCk4AAAAAAAAIFQUnAAAAAAAAhIqCEwAAAAAAAEJFwQkAAAAAAAChouAEAAAAAACAUFFwAgAAAAAAQKgoOAEA0Ma2bWUyGUWjUUUiEeXz+a7z12o1RSIRzc7OKpPJqFarqVgsKpFIKBKJKBqNKpPJePOXy2WlUqmW1zQrFouKRqOanZ1VKpU6tK3ZbNZrayKRUDabbZmn+flUKiXLsjrW0X1dNptVJpNRKpVSJpORbdtd1zuTySibzSqfz3uv7/YaAAAwfshOZCdfDkK1s7PjSHJ2dnaG3RQAwDGVSiUnmUw6pml2na9QKDimaTrpdLrjOUlOMpn0fZ1pmk48Hvd9rlKpOLlcrue2FgoFR5KztbXl+3y9XvdtX6lUciQ529vbHc+l02nHMAzf51ZWVpxkMtnx3NbWlhOLxZxKpdJz28PCMfj0YZ8BwHghO52e7HQSx2B6OAEA0EUmk5FlWarVaoHzzM3NBT6XTCZVrVZ9n4vFYqpWq75ntSzL0srKSt/tNQzDd7ppmopGo30tK5fLeWcBm+XzeZXLZZVKpY73i8ViyuVySiQSsiyrr/cDAACnH9mJ7OSi4AQA6JvjOHpt7+7I/ziOc+x1NU1T8Xhca2trvs+Xy2Ulk8nA17tdq4OCkyRtbGx0TBuFrtVuIGo0Gt40y7KUzWaVy+UCXxePx5VMJg/t0g4AwCSYpNwkkZ0kspPr3LAbAAA4fW7dvqfHf/znht2MQ938iXfr0anjH+rc6/L9NAcKP/F4XIZhqFAoKB6Pe9NrtZpWV1dVq9VUKpWUTqe95yzLUiwWO3a7j6tcLktSyzgJbljqFhQlaWlpSalUStVq1VvvcrmsRqOhubk5NRoNbW1tKZVKtWwXAADGzaTlJonsRHbaRw8nAAAOkUwmZRiGisViy3TLsrSwsHDo6xcXF70A4qpWq4rFYl638eazcs1BYxhs21axWFQ2m1WpVGppy+bmZmDX82amaUqSKpWKpP1tValUlE6nlUwmlU6n++6mDgAATgeyE9lJoocTAOAIHrlwVjd/4t3DbsahHrlwNrRlLS4uqlAotJxNq1arLY+DpFIpFYvFljDkBo9MJqN8Pq+NjQ1vWcPoEl4sFlvCUL1eVzKZ9MKPy7KsruMutHPXpVardYxLkEwmx26sAgAA2k1ibpLITq5Jzk4UnAAAfYtEIqF1uT4tMpmMisWiLMvygkSv4aG9a3itVvPO7pmmKdM0vUA2rC7h6XS64+xbrVbT/Px8S1h0u3Qfxp3HXWY8Htfy8rKi0aiSyaQSiYTi8XhHKAMAYNxMYm6SyE5kJy6pAwCgJ7FYzLuLiNR/1+3mruFul3BXMplUrVbzBsg8SpdwN8CFeYbP7bbePA5BLBaTbduHvo97Z5pEIiFpPzxdv35d8Xhc5XJZiURC0Wh0JAb4BAAA4SM7HUyb1OxEwQkAgB5lMhnvrii2bfd0Pb7LHTizXC53vM4NJX53XOmVG8KCulnXarUjnRFzX+OGoNXVVUmHt/XKlSveXWrc17tnKuv1uur1ukzTDLyDDQAAOP3ITpOdnSg4AQDQo8XFRdm2rXw+31dgkg66hmez2Y7BMt2u4blc7sjdpE3TVCwW8waabHflypUjnf1zw5IbymKxmFZWVpTNZgNfUy6XvTvIuCzLarm9sdsV3l0+AAAYP2Snyc5OFJwAAAhgWVbLWS/DMJRMJjtu09urxcVFSfIdZyCTyajRaBzrDiulUkkbGxst4UTaH9Ty0qVLfQe9crmsarXqdYV35XI5pdNpJRKJjm7d1WpV2WxWlUqlYz3bl2NZltdtHAAAnH5kJ7JTs8kbuQwAgEPYtq1sNquNjQ3Nzc0pHo+rUChI2u8W3RxKyuWyKpWKLMvSxsaGDMPQ0tKSbzBKpVKBwSWZTKperx+r3aZp6vr1615ocbmDTLav49ramjc2wvLysneG0LZtLyxWKhXfIJfL5VSr1bS2tqaLFy9602/cuKGtrS3f9UylUi1nOG3b1srKyrHWGQAADB/ZiezkJ+I4jjPsRoyT3d1dzczMaGdnR9PT08NuDgAAE4Nj8OnDPgMAYDhO4hjMJXUAAAAAAAAIFQUnAAAAAAAAhIqCEwAAAAAAAEJFwQkAAAAAAAChouAEAAAAAACAUFFwAgAAAAAAQKgoOAEAAAAAACBUFJwAAAAAAAAQKgpOAAAAAAAACBUFJwAAAAAAAISKghMAAAAAAABCRcEJAAAAAAAAoaLgBAAAAAAAgFBRcAIAoI1t28pkMopGo4pEIsrn813nr9VqikQimp2dVSaTUa1WU7FYVCKRUCQSUTQaVSaT8eYvl8tKpVItr2lWLBYVjUY1OzurVCrVV1sTiYQymYyy2awymYz32Lbt0NcRAABAIjv1uo4Tx0GodnZ2HEnOzs7OsJsCADimUqnkJJNJxzTNrvMVCgXHNE0nnU53PCfJSSaTvq8zTdOJx+O+z1UqFSeXy/Xc1kKh4Ehy6vV6YPu2trY6ngtjHUcFx+DTh30GAOOF7NS5jFHNTidxDKaHEwAAXWQyGVmW1fWs1NzcXOBzyWRS1WrV97lYLKZqtdpxBk2SLMvSyspKz+3s1oZ0Oq1sNqvLly/7Pn/cdQQAAHCRnQ5f/qSg4AQAOLLX9u4G/rxx517P875+jHlv3fafLyymaSoej2ttbc33+XK5rGQyGfh6t0t2UHCSpI2NjY5pfkHqONLptObm5pTNZjueO+46AgCAw01CbpLIThLZyXVu2A0AAJxej//4zwU+9/3f8Bb97Pv+jPf4rR/6Bd1qCz2u7zIv6hd/5Nu9x0//5FV95bXbvvMuvH1Gn/rb3+k9/qaP/pL+YPv1jvnuv/iXD21/rzKZTOB4AI1Go+tr4/G4DMNQoVBQPB73ptdqNa2urqpWq6lUKimdTnvPWZalWCwWTuPb2pLP55XL5TqeO846AgCAw01KbpLITmSnffRwAgDgEMlkUoZhqFgstky3LEsLCwuHvn5xcVHlcrllWrVaVSwW87qNN5+Vq1arLQErLNFoVNJ+u9sddx0BAABcZCeyk0QPJwDAMdz8iXcHPnf2TKTl8Rc/9FzgvGfa5r3+Y/7Xy/vN+1svfLccp1srw7G4uKhCodByNq1arbY8DpJKpVQsFlvCkGEYkvbPjuXzeW1sbHjLCrtLuMt9T8uyZJpmx/PHWUcAANDdJOUmiewEejgBAI7h0alzgT8PnT/b87wPH2PeRy74zxc293a2zWe4eh0MsrlruLTfJdw982WapkzT9J4bVJdw6SCM+QUm6XjrCAAAupuk3CSRnUDBCQCAnsRiMcViMe8a/n67bjd3DXe7hLuSyaRqtZo3QOYguoRLUr1elxQcmo67jgAAAC6yEyg4AQDQo0wm490VxbZtr5t1L9xBJcvlcsfrMpmMJP87roSpWq0eeseU46wjAABAM7LTZKPgBABAjxYXF2XbtvL5fN9hwu0ans1mOwaSdLuG53K5wDNox1Uul2VZltbX17vOd5x1BAAAaEZ2mmwUnAAACGBZVss1+YZhKJlMdtymt1eLi4uS5DvOQCaTUaPROHI37G633y2Xy8pms9ra2uoIQmGvIwAAmFxkJ7JTM+5SBwBAG9u2lc1mtbGxobm5OcXjcW9gytXVVVWrVW/ecrmsSqUiy7K0sbEhwzC0tLTkG4xSqVTgma9kMumNE3CUtrptymQy3nu7Ycg0zY7ANKh1BAAAk4fsRHbyE3Gck7op4mTY3d3VzMyMdnZ2ND09PezmAAAwMTgGnz7sMwAAhuMkjsFcUgcAAAAAAIBQUXACAAAAAABAqCg4AQAAAAAAIFQUnAAAAAAAABAq7lLXRblc9m6VWK/XJ3JUeQAAgF6QmwAAQDMKTgGKxaLi8bhM0/SmpVIpra+vB96WEQAAYBKRmwAAQDsuqQtQKpVaQpMkJRIJbW5uDqlFAAAAo4ncBAAA2lFw6iKbzbY83tra0sLCwpBaAwAAMLrITQAAoNlYXVJn27ay2awMw1Aulwucr1qtqlKpKBqNyrZtSdLKykrLPLlcTvPz86pWqyqVSqpWq0okEnQLBwAAY4HcBAAABmksCk7ZbFaWZenSpUuqVquKx+OB85bLZV25ckWlUsmb5oaiSqXiTYvFYtra2tL8/Lyi0ajS6bQKhcJA1wMAAGDQyE0AAOAkjMUldblcTqVSSSsrK13PpNm2reXlZa2vr7dMj8fjajQaKhaLLfMWCgVtbW0pnU6rWCwqkUgMahUAAABOBLkJAACchLEoOPVqY2NDpmn6hqulpaWWM3GpVEq5XE6xWMwLUJubmx3jEwAAAIwjchMAADiOiSo4lUolzc3N+T5nmqZqtZps21atVusIWLFYzBuTAAAAYNyRmwAAwHFMVMFpc3Oz45a9Lne6ZVmB3csXFhYCXw8AADBOyE0AAOA4JqrgZNv2oXdLsSxLpmnKsixZltXyXLFY1Orqak/vtbu72/Kzt7d31GYDAAAfe3t7HcdbhIfcBADA+BhGbhqLu9SFwQ1UjUZD0n438rW1NV28eFGSdOPGDS0tLSkWi/W0vCeffLLl8Qc/+EF96EMfCq29AABMurW1NX34wx8edjMmErkJAIDTZRi5iYJTAMMwlMvljvz6z33uc5qenvYeT01NhdEsAADwwOrqqt7//vd7j3d3dzsKFzgZ5CYAAEbbMHITBacHbNuWpMDBMfs1PT3dEpwAAEC4pqamKEwMCbkJAIDTZRi5aaLGcAIAAAAAAMDgTVTByR3U0o87BgF3UwEAACA3AQCA45moglMsFvO6gLdzA1Wvg1sCAACMM3ITAAA4jokqOCUSicAzdfV6XfF4/IRbBAAAMJrITQAA4DgmquC0uLioRqPhG57K5bIymcwQWgUAADB6yE0AAOA4xq7gZNu2N65AO8MwtL6+rmw22zK9XC7LNE0lk8mTaCIAAMBIIDcBAIBBOTfsBoQhn8/r2rVrsizL+0kkEjIMQ0tLSy2BKJlMyjAMZbNZRaNRb2yCSqUypNYDAACcHHITAAA4CRHHcZxhN2Kc7O7uamZmRjs7O5qenh52cwAAmBgcg08f9hkAAMNxEsfgsbukDgAAAAAAAMNFwQkAAAAAAAChouAEAAAAAACAUFFwAgAAAAAAQKjG4i51oyj/iy/r4UcfUyQSUURSJCJFFHnwr1qnd3nuTMt8J7ws9/Fhy3Jf33VZzfMELau39WidftLLigz0cwMAAAAAwDig4DQgP1H9rCJTjwy7GRiQnopXbYW4Mx2Fvs5i1qHLevCaQ5cVWAQ8xrLc6Yctq0txMXhZne/vLks9rof/dvRpVw/r0a1Q2r6sM5GDedqLlGfa3ufgccSnCNz6+o73OdParvb91vpeR2xn+7zDaOeZtnl99i+A8fPUT1R0dupR7/dd6vxOlzqPBe3T9l/X+j2zP4+6TIs0vd/B8trnaZ12WDu7t72znX7rd1g7/efpaEPXNvm30z329rLNO9rQ4zbv3s7gbd7Rhh63eWc7e9vmHe3qZV2a29DPurS8ro91aZ7Wz7o0T+tzm7d8jvvY5i2f4z62+cH79bfNe2tn5zyHttN9EYCuKDgNyH+z8Hadf+QxOY7kyJHjSGr6vyPJcZwH//o8bvr/fe//zc93W1bz9B6W5T7uZVnu48OW5fPegcuSdP9+D8tqeu+uy3qwLoPkvlfrGw34TQFIOgh/nYWx1jDcWRg7CJP+hbHmZfkVxpr/7/c+zcsKp8jWUzHwkHZqVNrpvrfvvvF/n37b+cZrN0/gE4hB2L51V5F7d4bdDADoW/MxqXthLLjIF1wY8yuodSuMua/zKfwFtvOQwp9vO3sp/DW3M2j9urWzh8JfRzt72Q/B27xbO9085bfNeylQ+m3z/trZy+ele1G4vZ17t17VoFFwGpD/8Qe+RdPT08NuxsTrrZB2ePGqtdh1tGU5jqP7/S7Lnd7Tsrq/t38R0GdZPayHfxHwhJbVZZsEFjcPW1bPn5X9z4QCPydN/3+wjPtty73f1vb7be/lPe/TZv9l+RWUHyzr/lHb2VZQ7lh26+9Gt/dx2xmm5vd5MCXcN8Cp5ezdGnYTcES/9re+Q48+Pi3nwe91+3fwwTTH+41vPxa0z3Mw7eD40vLYb54Hr29pQ0eb/KY5B21y29DSph7WpaOdXdbFe133dVHbMlra2c+69LjNO9al5XWHzdN6nGlfv67r4jNNvayL3/r30c7e1qWznYfP0+UzF7guh3zmelkX3/UL/gx2/f3pZV0OaWfgPD7rP0zeNu1oyJAbBhziJHITBSeMteYu2gd1XgDD4F+8aiqcOepSZGt6vun1nYWx4NfvF8YOXt93MfB+Wzv83sdb9rDb2TSvbzvbtn1HOw95vTp7pvoVLRXYztZtFlY779ya0n8a/EcZA/ANb31c09OPD7sZAE6xzkLv8Qq2XYuxvczj26bDi2deG/pdl6a2HTpPx7r4t7NjXZrb2dGmLuvis827ztNlm3edp8s277ouzet/yDx+beh7XVpe131dWtejaVov6+IzrTmb7d16Vf9Wg0XBCQBwItwC8BmKvxiQ3d1dzbww7FYAAIah9USzxMlmoLvd3V392/cN9j36Ljh98pOfVKPRCL0hc3Nzes973hP6cgEAAIaF3AQAACbVmX5fsLa2JsntqhbeTzabDX3lAAAAhoncBAAAJlXfPZwcx9H73hd+v6tcLhf6MgEAAIaJ3AQAACZV3z2clpaWBtEOZTKZgSwXAABgWMhNAABgUkUcd5hzhGJ3d1czMzPa2dnR9PT0sJsDAMDE4Bh8+rDPAAAYjpM4BvfdwwkAAAAAAADopqeC08c//nE9//zz+sVf/EVv2vd+7/fq7NmzeuaZZ/QzP/MzA2sgAADAaUJuAgAA6GHQ8I9+9KNaW1uTaZoqFosqFAp6+eWXVa/Xtby8rBs3buiHfuiHJEk/8AM/MPAGAwAAjCpyEwAAwL5DC071el2NRsN7/MM//MOanZ3Vyy+/3DLf888/T3ACAAATjdwEAACw79BL6ubn51se53I5LSwsdMxnmmZ4rQIAADiFyE0AAAD7Di042batz3zmM3rxxRclSTMzM4rH45KkV155Ra+88ook6caNG4NrJQAAwClAbgIAANgXcRzH6TbDzs6OlpeXdf36dV27dq3lueeee05bW1taXFzUysqKnn766YE29jTg9r4AAAzHKByDyU39GYV9BgDAJDqJY/ChBadudnZ2tLm5qcuXL4fZplON4AQAwHCM+jGY3NRp1PcZAADj6iSOwYdeUtfNzMxMR2i6evWqlpaW9MlPfrJl+vr6esc0AACASUFuAgAAk+RYBad2L730kiqVira2tnTlypWW55aXl/X000/rpZdeCvMtAQAATiVyEwAAGGehFpwqlYo+8pGP6OWXX+4ITpL07LPPyrKsMN8SAADgVCI3AQCAcRZqwakXtm2f9FsCAACcSuQmAABwWoVacNre3j50nnq9HuZbAgAAnErkJgAAMM5CLTjNz8/r+eef182bN32fX11dlWEYYb4lAADAqURuAgAA4+xcmAtbXl5WKpWSYRhKpVJ6+umndfHiRdXrdVWrVUnSZz/72TDfEgAA4FQiNwEAgHEWasFJkkqlkorFoj7wgQ+0jDuQTCa1vr4e9tsBwP+fvTuPb+O+7/z/BkmJukyCpM/YsqVh5NyNBVK50yQWYCdN221tkOyx3bYbi4i7u+1uGhFhtr+N89s2Mhm1+9ueBuT03HYrEnF3u203DSClOZtaJGwnTZrEAqTYTuzYFjikbcnUQfz+IGeIa0CQHBAE8Ho+HrKJmS9mvpgZzHzw+X7nOwBQt4ibAABAo/Jks9lstRY+OzurTCajvXv3VmsVm87c3Jw6Ozs1Ozurjo6OWlcHAICmUe/XYOKm+ttnAADUq424BrvewylXZ2enOjs7q7kKAACAhkDcBAAAGklVE05zc3OS1JQtVn8x/ZS277qqaHpbq0c/67vJfp34znP6/tzLjsv5N/277b8/n3peT5gXHMv+9G03qq11cRz4r5zNKH3uvGPZ4A/doG1bWiVJDz8xo8eff8mx7L963fXa1b54qCSfMvWtZ190LPv+11ynzu1bJElff3pO//xM6YFQJemOW69Rz86tkqR/+cELeuz7c45lb3/l1br2qnZJ0uPPvajk92Ydy/6w0aMbOrZJks6cO69TT5qOZd+6p0u7vdslSU+aF/TV7zo/MejAbq/2dO+QJD0997K+fCbjWHb/jZ3qvXqnJOnZF+b1xTPnHMu+4YYO3XrNLklS5vxF/UPKuexrrt2l11y3eFzNvXxJJx5/3rHsvqt36vU3LH73Xpq/rPjjzzmWNbp36odesVh2/vIVfeZbzmVv7tqu/Tcu/iC6fGVBf/etZx3LvqJjm/p3eyVJ2WxWf/PNHziWve6qdr3p5i779d/9yw+04ND/smfHFr11T7f9+rPfflaXrpQu7N2+RW/fu1z25OPP6+XLV0qWvaq9Te80euzXX0id00sXL5csu31Lq979yqvt1185m9Hcy6XLbm1t0e37lss+/MSMZi5cKlm21eOR/9Zr7NfJp0w9/9LFkmUl6Y5XXWv//dj3Z/Xsi85lb3/l1Wpt8UiSvvHMC3q6zLnnh40ebW1bPJ9869kX9L1Z57Jv29Ot7Uvnk8efe1FPms5l33yzVzuXzidnzp3X2Rnn81TfTZ3q2LZ4Pnli5nzZc9ptN3bKu3Tu+d7sBZ0uc057ww0d6t6xeO55Zu5lfec557KvuW6Xrtm1eO557sX5sue/W6/ZpeuWzlOZ8xf1zR84n/96e3ba56nZC5fKniv3dG/XjZ2L56kXXr6srz/jfK7c7d1un9POX7xc9rz6io5tumXpnPbypSt6tEzZ63a1a2/PYtlLVxaUfMr5HHzNrq0yehbPf1cWspp+ynQs271jq165dK7MZrOaetJ5ud7tbdq3dK6UpOmnTBX20b7wkvN2rAfNHDcBAIDGU5WE0+joqKLRqD0Wgdfr1Uc/+lH96q/+ajVWtynd+9DX5WnfUTR959bWvITTb30+pc982/nHfW7C6Xe/dFaf/vrTjmWDP/QKtS3+5lP0H7+rP51+yrHse199jZ1w+qNTTyryj991LHvmowfthNNfPPI9/dbn045lv3H43XbCKfa1p/Vf499xLPvwr7zTTjj99Td+oNG/+xfHsp+79612wunvv/2cfvl//bNj2b/9wJvsH3L/kHpeH5h4zLHsxM/12T/OvnI2o5/+H0nHsn80dJudcJp+alaDfzbtWPb37nqD7l36EfWNH7yggT91Ljv+o6/Vh9+9+CPq8edeUvBPphzLfuyOW/WxO14lSXpi5oLuLlP28Lt7Nfajr5UkPfviRd31x85lf+lte/S7d71BkmReuKyf/ONTjmV/oX+3/vCnbpMkvXx5QT/xR85lB9/4Cv3lz/XZr/9VmbLvf821+j8feLP9OvgnU3r58kLJsu/u7dHJe99mv/7ZP0/q3PnSCZw37fbqq7/yTvv1vz3+qGPi9nXXXaWvH363/fqDn/6aY4JhT9d2pf+z3379K//rnzXt8CP82l1b9cx9d9qvR/7mm/pCunTCcufWVr3wiR+xX//a//1W2XPEwtEfs//+9fjjZc8RLx35EW1vWfzef/Jzp8ueI579+B26um3xO/ffv3hmxXOElbiIfPW7K54jrKTpH089ueI5wkpY/s9Hvr/iOeJdvYtJvb/6+jMrniPe95rrJEn/91vPrniOCL7xFZKkk6efX/Ec8fMHFs/ZXzk7ox//w4cdy/7eXW/QvW/bI0lKfm9WBx/4R8eyi+eIXknSN3/wgt7xu192LJt7jkifO6+3lymbe454em5eb/udLzmWzT1HZM5f0lvLlM09R1y4dEVv+W3nsoXniDf/9hcdyxaeI975u18uOkdc5XFOuG5mxE3S8MSj2rpj8Vro8Swmxj1L8z52x6vshOfffvMHin3t+/b7PFappf+F3/NKveraxeWcfPx5/fkjTxWVXVq8fvkde/WGpYaZL5/J6E+mnlwu68l/z6G33Ky+m7ySFpOdn/qnJ/Lqb9VZkn6u7ya95ZbFBpR/fnpOka9+17Hs4Btv0Dv2LjZ0PP7ci/q9r5zNL5vz94+/7nq9Z6mh47uZ8/rtL50pWO7y33fceo3dIPHM3Mv6rS/kn5dzl/uu3h79yNI5MXP+oj75DynHsm+5pUs//rrrJUkvzl/W/SdPO9Zh/42duusNN0iSLl5e0G+cyB8AP3e5r7v+Kg0snWuz2az+a7ygbE7hfVfv1E/tv9F+PXbytC4vLOSUXS58S9f2vLj7v38xrQuXlhudPDm1uKGjPS/ujvzj2byGpNzlXr1zq37hwHLZPz71pDLn888/VvHObVv0b990sz39fz7yPT374nx+2aX/79jaqnvefIs9/aGvP63vFzT4WMvd0tqi4bcsl/3bb/6gKL7J3cYfXLrmSFL8O8/pTOa8Y9lfPLDbbsT+fOp5nX6+oGxO4Z/Zf6P9m+Ifz2b07YJGnNzl3v1DN9i/KaafMosaZnL3x4+9drkR+2vfn9M/FzS25O6Pwkbsrz1dUDZnue/u7bF/U5x+/iU9WtCInfvZ3r6nW9cv/ab4buZ8UYN3btkDu71249D3Zi8UxYS52+G2Gzvt3x8/eGFeUwWN47nLfd11V9kx1rmXLhY1pOeWfdU1u+zfKrMXLunhwrI5fxs9O+zGoRfnL+vhJ5bLLp//Fu32brcb0i9cuqKHn1huoM/dth7PYmOWVfbi5QU9/KRz2Wt3tduNTlcWsvnLzflgHkndO7bYjU6lGqhyt0PntvwGqke+N6vcUYRyl71ra2te2X9+ek5Xcsvm1HnH1la7vpL07Wdf1KUrpc897W0teWVTz7+ki1fyYxb7u9zSYm8zafFYmy8su/T/1haPvd+kxWPt5Uull9vi8djHg7R4rOWe/yTphTnnxly3uJ5w6u/vVzKZVDAYlGEYkqTp6WkdPnxY8Xhcn/nMZ9xe5aYUuPUabdm+s2j6tqUeA5a+pR9TlXjjjR160aG3hSS15J6crr9Kd+T0kii0pWW5Hq+5dpcCt17tWNa6iEiLF3n/PueyO3LKGt07dLBM2avalw+/W7q26/ZXOpe1ei5I0o2d2/Se3h7HslbPBUm6/qp2vbtM2Wt2LZe9Zme73mU4l7V6LiyuY4t+2Oh2LHtDx3LZzm1teude57I3dm6z/76qvU3vKFP25qWLk7R40nv7ni7Hsrd0LZ9g2tta9LYyZffmnIy2tHr01lucyxpXL5dt8cgOqkvJPdFKi71bnNyac7KXFi/c8w4JJ+vHhGX/jZ2adehd9Nrr8nsa/tANHbo2Z7/nyj2BS4sX+Z1bW0uWveGqbXmvX33trqLeFpauHVvyXr/y6l16Yd6551RhnW57xXzJsoVu6d6uN77CuWdEbqBxk3e7fugG57KtORfNGzu36Q03FPfYtGxpXT6fXH/VNr3+euey7TnnwGt3bdXrrnMum3u+7Nm5Ra+9bpdj2R1bls8nXTu26DXXOpfduXW5bOf2LXp1mbJXbVsue1V7m151TfF53dKRU3bn1lbdWqZsZ07Z7Vtate9q57Le7ctlCwOYQrnnv61tLTJ6ihs+SpVta/XknQcKWYG8tPi939O1vaKyHi2e351cvTP/u5h7jit0zc72vNc3ebdrvqC34o6sR879tDYn4qZFxx97umRDnST9+3fstRNO//zMC/qTKedk+c/332RfI775gxf0Rw8/6Vj2rtdfbyecvvPci3qwIImUy7/vajvhdPr5l/RAmST8m3Z77Wvj2ZkL+r0vn3Us+5prd9kJp6dmX9Zvf/GMY9kbO7fbCadnXpjXf/uCc3L/qvY2O+H0/EsXdbQgiVTISjjNXrissYIkUq5fetseO+H00sUr+kRBEinXL/TvXk44XVko28Aw+MZX2AknSbrvs992LPv+11ybl3D6+Ge/XbaBKjfh9Ovx75RtoMpNOB05cbpsA1Vuwmn8c6fLNlDlJpx+6/Opsg1UuQmn3/5iumwDVW7C6fe+fKZsA1Vuwin6j98t20D1r/tushux/+jhJ8s2UP34666zfyv86fRTZRuo3t3bYyec/ucqGrE//fXqNGJ/5lvPrtxAtZRwOnl65Ubs4BsXr2FfOrNyI7bVQHXqSbPiBqqvPT2nH3nwnxzL5jZQfevZF3Vn9KuOZXMbqM5mzssfcW74ym2gemZuXu/5A+eyuQ1UMxcu6Yd/7yuOZQsbqMo1kq2ngertv/Olihux3/MHX6m4EfvO6FcrbsT+sT98uOJG7OCfTlXciP2zf56suBH7F//ykaJzRHa+zhJOH/nIR2QYhk6cOFE0BoFpmhoeHtaDDz6oe+65x83Vbkqxn++vqEv8f33vqyte5q/5b6247OH3vFKH3/PKisr+8jsN/fI7jYrKht66R6G37qmo7M8f2G2fTFfyU/tvzAseyvnJN9ygn1wKYFbyvtdcZ/dkWMnt+67Ou+2pnLft6dY//NLbKyrru8mrz/+7ysq+9vqr9IUKyxo9O/XFf/+Oisq+onObvlRh2e4dW/Xl/1BZ2R1b2/SVCst6PB794y+/c+WCSyrdZpL02dBbKy771x94U8VlJ3++v+Kyf/YzvorLPjj4xorLWhftShz9sddVXPbX3/dq/fr7Kjv//Jr/1orPPx9+d68d7Kzk3719r/7d2ysbHPmeN9+SF4SX87O+m/J+YJRz1xtusH8QreRHXnOd/aNsJe955dX6Vvj2isq+5ZYuffsjlZW97cZOfafCsrdes0unRw9WVHa3d7tSH62s7DW72vMCo3J2trfpTIVlPR6Pzv5aZWUlldwOc3Nz6vwvFS+i5oiblv36e1+lbTsXE9CFufubchpm3t3bo/vf/xr7dWGiPzdx+pZbuvQbOee5wuXmNnT4burU//veVzkuN7fx4nXXXaWP3XGrY9ncxP++q3fq1/z7HOvQd9Pyfr+la7tGDy7HboXLzW20uaGjXSPvyS2bX/htObedX71zq371Xcvn5WxBLXJvJe/Y1qb/+MPLMWHhcnMbxbZvadF/eMfyObzws+XWd0urR7+Uk/AoLOu7Mf/4D711+XxfuB0KGzV+8U03270MivZxQYL+Z3w32Y235Y4dabE3jtVrqbDsKzrzG51+7LXXqT9nX+YW7ylIrN/xqmvyjr3cbZzbyCFJ7+69WtfnNHDllm0vaMR++97uvAaVwv2c68DN3rxeHIX7ObcR+7YbO/OGASjcFrmN2K+//ir9yKuvzVtz7rJzG7Ffdc0u3fmqa/KWmVvn3AY/o3uH3eBtlcitR24j9s1d2/Mamwvr27ltuRHwFZ3b8hqFC7dYV07DzLW72vMabwuXm9uI07Nja97xX1g2t7Glc1ub47EjSdfklN21tU37b1w+vxQuN7fsjq2teQ2LhcfDtbuWG3Ha21ryGgDLld3S6slrqCs8dnLLtrYor0Gt6LPtym+gym0kK/psBY3FuY1Zxdshv4Hqxs5tdiN2YR0KG76uu6rdHlKicLmF3+Wrd261h+koLFvY2OzdvkU9OdOyBfNyXdXeljctdxt3bMsvu2NLa97xn7vvdhQ0Yre3tdjTrHILV1rkPBCGO1x9St3g4KAmJibKlrn33nv1B3/wB26tctPhaSsAANRGvV2DiZvqb58BANAoNuIa3LJykcpZXcHXWwYAAKDRETcBAIBG5mrCqRKlAqeTJ09udDUAAAA2PeImAABQr1xNOAUCAT344IOO80+ePKmuruIBhiORiJvVAAAA2PSImwAAQCNzfQynEydOyDAMdXfnP2krk8konU6rv7+/aHoymdSVK/lPmqlXjEUAAEBt1Ns1mLip/vYZAACNYiOuwa4+pS6RSMgwDHV1dRWNWN/V1aW+vr6i6S7muwAAAOoGcRMAAGhkriacDMPQ1NTUqt83ODjoZjUAAAA2PeImAADQyFwdw2lsbGxN7xsdHXWzGgAAAJsecRMAAGhkriaczpw5s2KZoaGhomn79+93sxoAAACbHnETAABoZBvaw+mRRx5RIpFwc5UAAAB1ibgJAAA0MlcTTqlUSp/61KdKzhsdHVVfX59M03RzlQAAAHWJuAkAADQyVxNOnZ2deuCBB/Too4/a006ePKl9+/YpGo1qbGxMe/fudXOVAAAAdYm4CQAANDJXE04nT57UqVOnFI/H9eijj+ree++V3+/X/v37lU6ndfjwYU1PT7u5SgAAgLpE3AQAABqZJ5vNZqux4A9+8IOanJxUNBrV3XffbU8/e/as9uzZU41Vbgpzc3Pq7OzU7OysOjo6al0dAACaRj1fg4mb6m+fAQBQzzbiGuxqD6dcDzzwgA4dOqRAIJA3PRwOV2uVAAAAdYm4CQAANJq2tb6x1GN6C5mmqb6+Pvn9fklSJpPhaSsAAKDpEDcBAIBms+aEUzwel2EY6u7uLltu7969SqVS9ut6e9rK+Pi4vF6vpMW6j4yM1LZCAACg7hA3AQCAZrPmhJNhGJqamlr1+wYHB9e6yg0XCAQ0NjYmn88nSert7ZVhGAoGgzWuGQAAqCfETQAAoNmseQynsbGxNb1vdHR0ravcUNFoVIZh2EGTtPiZCZoAAMBqETcBAIBmU7Wn1NW7rq4uHTt2bNWBEk9bAQCgNrgG1w5xEwAA9WUjrsGrvqXuzJkzOnHihAYHBzddYGCapsLhsLxeb9mWxEQioXg8rt7eXntshNwxBkzTlGma8nq9ikajkqRUKqVQKCTDMKr6GQAAQOMgbiJuAgCgWa064bR3715ls1ndfvvt6unpUSgU0l133VWNulUsHA4rnU7rwIEDSiQS9tNdSonFYjp+/LgmJyftaYlEQoFAQPF4XJKUTqclSclk0g6oTNPU3r17debMGXswTAAAgHKIm4ibAABoVmsaw+nQoUOamprSAw88oIcfflivfOUrNTQ0pJMnT7pdv4qMjY1pcnJSIyMjZYMa0zR16NAhHTt2LG+63+9XJpOxW+UymYwk5bXKeb1e9ff368iRI+5/AAAA0LCImwAAQDNa86Dh0mKr3f3336/Tp0/rIx/5iCYmJrRv3z6Njo7q7NmzLlXRPRMTEzIMo2RwNTQ0pEgkIkn2I4sLu4F7vV4lk8mq1xMAADQe4iYAANBM1pVwyrV//3498MADevzxx9Xf36+RkREdOHBAR48e1dzcnFurWZfJyUk7KCpkGIaSyaRM08x7wgoAAIDbiJsAAECjcy3hlOvuu+/WxMSEEomEOjs7dfvtt+vOO+/Ugw8+WI3VVWxqaspx8EprujUOgc/ns/+2EFQBAAC3ETcBAIBGVJWEk6Wzs9Met2BiYkIzMzPq7++v2bgF1hNUyrGCpbGxMburuDU9nU5rdHS0mlUEAABNirgJAAA0klU/pW6tOjs7dfjwYR0+fFiPPPKIjh8/ruHhYQUCAYVCId12220bVZWSrIDKGvjSemJLOBxWT0+PUqmU4vF4xU9aKewO397ervb2dtfqCwBAs5ufn9f8/Lz9erPciuYG4ibiJgAA3FSLuGnDEk659u/fr/379+v+++/XiRMn9IlPfEIf/ehHax48FfL7/WUfFVzO7t27815/7GMf03333edCrQAAgCQdOXJEH//4x2tdjaojbgIAAOtVi7ipJgmnXAcPHtTBgwdrXQ2ZpilJjoNjrtaTTz6pjo4O+zWtdAAAuGt0dFQf+tCH7Ndzc3NFiYtGQ9wEAADWohZxU80TTo2qo6MjL3ACAADu4rarxkHcBABAddUibqrqoOGl1HJ8BcMwip6gYrHGIHB6GgsAAMBGI24CAAD1akN6OJ04cULpdFo9PT3q7OxUOp2Wx+PRPffcsxGrt/l8PrsLeKHcx/oCAADUCnETAABoBFVPOD344IPy+/154w1Yfx89elQf/vCHq10FWyAQ0NjYWMl5qVRqzQNdAgAAuIG4CQAANIqq3lJ38uRJ9fX1ac+ePSXnf/jDH9bRo0erWYU8g4ODymQyJbuHx2IxhUKhDasLAABALuImAADQSKqacEqn09q/f3/ZMvv373d1fALTNO1xBQp5vV4dO3ZM4XA4b3osFpNhGAoGg67VAwAAYDWImwAAQCOp6i112Ww27/Udd9yhs2fP6jvf+Y49rb+/X1NTU7r99tvXvJ7x8XGdOnVK6XTa/hcIBOT1ejU0NJQXEAWDQXm9XoXDYfX29tpjE8Tj8TWvHwAAYL2ImwAAQCOpasLJ4/Hkvc5ms1pYWCgqVxhgrdbIyMiqyvv9fsYdAAAAmwpxEwAAaCQb2sOpVGvYiRMnCGIAAEDTI24CAACNpKpjOBmGoUcffbRsmVQqpY6OjmpWAwAAYNMjbgIAAI2kqgmngwcP6tSpUzp79mzJ+UePHtXhw4erWQUAAIC6QNwEAAAaiSe73oEAKnDixAmdOXNG3d3dkqRz587J4/HonnvuqfaqN9zc3Jw6Ozs1OztLCyQAABuoUa7BxE0AAKDaNuIaXNUxnCwHDx60/56dnVVnZ+dGrBYAAKDuEDcBAIBGUNVb6kohaAIAAKgMcRMAAKhXa044jY6Orul9R48eXesqAQAA6hJxEwAAaDZrTjglk8k1ve/UqVNrXSUAAEBdIm4CAADNZs1jOMXjcR04cMAe0LISmUxmzQEXAABAvSJuAgAAzWZdg4anUimlUqmKy5umKY/Hs55VAgAA1CXiJgAA0EzW1cMpnU6ru7tbd999d8Xvu+OOO9a6SgAAgLpE3AQAAJrNmhNOBw8e1MGDBzU7O6tjx47J4/HI7/drz549Zd9nGMZaVwkAAFCXiJsAAECz8WSz2axbC3vkkUc0NTWlnp4e3XXXXW4ttq7Mzc2ps7NTs7Oz6ujoqHV1AABoGvV2DSZuqr99BgBAo9iIa/C6xnAqtH//fu3fv1+S9OlPf1ozMzPq7+/Xbbfd5uZqAAAA6h5xEwAAaGSuJpxyWeMTnDlzxu46Pjg4SOsVAABAAeImAADQaFqqvYK9e/equ7tbExMT6urq0tDQULVXCQAAUJeImwAAQKOoWsLp7Nmzuvfee9XT06PBwUGl02ndf//9ikaj1VolAABAXSJuAgAAjcbVW+rm5uY0MTGhSCSiZDKpbDarYDCoUCikgwcPurkqAACAukbcBAAAGpkrCaeTJ08qEokoFospm83K5/PpgQce0KFDh9xYPAAAQMMgbgIAAM1gzbfUzc3N6ejRo9q3b5/8fr/i8bgOHTqkVCqlqakpx6Dp6NGja64sAABAPSJuAgAAzcaTzWaza3ljS0uLPB6P/H6/QqGQ7rrrroret2/fPj3++ONrWWVdmJubU2dnp2ZnZ3myDAAAG2gzX4OJm0rbzPsMAIBGthHX4HXdUnf33XfLMAw9/PDDOnXqlD09m83K4/Hklc1ms0omk0qn0+tZJQAAQF0ibgIAAM1kzQknn8+niYmJVb0nnU6rv79/rasEAACoS8RNAACg2ax5DCfDMNb0Hr/fv9ZVAgAA1CXiJgAA0GzWPIYTSmMsAgAAaoNrcP1hnwEAUBsbcQ1edQ+nBx98sBr1qNpyAQAAaoW4CQAANKtVJ5wikUg16qGxsbGqLBcAAKBWiJsAAECzWvWg4dlsVg899JCrlchms+LOPgAA0GiImwAAQLNadcJpdHRUqVTK9YqEw2HXlwkAAFBLxE0AAKBZrTrhdPfdd1ejHgAAAA2HuAkAADSrVY/hBAAAAAAAAJRDwgkAAAAAAACuIuEEAAAAAAAAV5FwAgAAAAAAgKtIOAEAAAAAAMBVJJwAAAAAAADgKhJOAAAAAAAAcBUJJwAAAAAAALjK9YTTyZMnNTQ0pAMHDmhoaEif+tSnNDc35/ZqAAAA6h5xEwAAaFSuJpyOHTumYDCobDarrq4uxeNxHTp0SHv37tWnPvUpN1cFAABQ14ibAABAI2tzc2HT09PKZDJ5086cOaN4PK7Dhw8rlUrpE5/4hJurBAAAqEvETQAAoJG52sOpv7+/aNrevXs1PDysdDqt06dP66GHHnJzlQAAAHWJuAkAADQyVxNOp0+fdhx3wOv1amJiQvF43M1VAgAA1CXiJgAA0MhcTTiNjo7q4MGDeuyxxxzLGIbh5ioBAADqEnETAABoZK4mnDo7OxWJRPSe97xHd955J09aAQAAcEDcBAAAGpmrCSdJ8vl8SqfT2rNnjw4fPqyuri7t27dPQ0NDeu9736uBgQG3VwkAAFCXiJsAAECj8mSz2Ww1V5BIJOx/yWRSHo9HhmHI7/frjjvu0MGDB9XR0VHNKmyoubk5dXZ2anZ2tqE+FwAAm10jXIOJmwAAwEbYiGtw1RNOhUoFUvF4XLfffvtGVqNqCJwAAKiNRrwGEzcBAIBqaMiEU67Z2VlNTU2pv79fnZ2dtaqGqwicAACojUa/BhM3AQAAt2z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vcAIAAM7q6OggMVEjxE0AANSXWsRNTTWGEwAAAAAAAKqvqRJO2UEtS8mOQcBsKgAAAMRNAABga5oq4eTxeKwu4IWyAVWlg1sCAAA0MuImAACwFU2VcPL5fLZX6pLJpLxe7za3CAAAYGcibgIAAFvRVAmnoaEhpdPpksFTNBpVIBCoQasAAAB2HuImAACwFQ2XcMpkMta4AoXcbrcmJycVDAbzlkejURmGIb/fvx1NBAAA2BGImwAAQLW01boBTpiYmNCZM2eUSqWsfz6fT263W8PDw3kBkd/vl9vtVjAYVG9vrzU2QSwWq1HrAQAAtg9xEwAA2A4u0zTNWjeikSwsLKirq0vz8/Pq7OysdXMAAGganIPrD/sMAIDa2I5zcMPdUgcAAAAAAIDaIuEEAAAAAAAAR5FwAgAAAAAAgKNIOAEAAAAAAMBRJJwAAAAAAADgqLZaN6BRffbrz2nfNRflcrnkckkuaeVvSS6X1JLzt0urZXL/Xi3fUvR8/npcWi2Tu6zEelxardNaVryeonbZrKe4XIn3klufy7Xt2x8AAAAAANQOCacqGfz9Wbk69ta6GTtK+YRZJYm3wsRaqYRZiSRZUeLNJklmlzArW29uObt6cxN0dvWWSDBuoP3aZPtLJj432X7b7WDVa5MgVX5dttuhYD3l22/3PvP3Xe77LN3+4s9H+c+P8+233492+3uD28HlcuLrDQAAAAB5SDhVye03dapl916ZpmRKq/83V/6/+veyKZmmmfN8wePVv5dNs/R6suVX/84vZ65Tb4n1rJavlmxd+ZVUsUIAFSufMKsk8VY6sVnUs9ImsWmbWMupt2yCNKfekgnqgvJFiW6b8uUTpKUSh8XlswnhStq/7naQ1NJSqp2VbzO7nqyly9ptl8qTyaWW231+7MtW8hl06cJLC1X6hgAAAGCjSDhVyV/9++9XZ2dnrZuxKeZ6iaucMstlEle5ia7lddaTfW6tnF3CLDexZlOvbUIvP/G2bqKuIBloW29BMrB8vSvPldxuJZKKJbdbibaW3G4l6iiut7ittonQgnrtEqHa1PYtUe8m21+83ew/0/bbt1S95dtv+30o2m5b+1xWS7YumaaWVpZUrzKgSszFC7VuAgAAAFaRcEKR7FX71Ue1bAqAEkr3bGyQRGippGKpekslFVUiUVdiPSW3W6mkYu52s1lPUb026yluf+n1lH+fZRKSdvslp6zs2pL7PpYrb3ep+uw+Z6Xqsy9b/HmwS4QXLl+6tKRnHP6+AQAAYHM2nHB69NFHlU6nHW9IT0+P7rrrLsfXCwCNJjcp3EpSGLAsLCyo61dq3Yp8xE0AAKBZtWz0BcePH5eUvaLq3L9gMOj4mwMAAKgl4iYAANCsNtzDyTRN3XPPPY43JBQKOb5OAACAWiJuAgAAzWrDPZyGh4er0Q4FAoGqrBcAAKBWiJsAAECzcpmmada6EY1kYWFBXV1dmp+fr9tZ6gAAqEecg+sP+wwAgNrYjnPwhns4AQAAAAAAAOVUlHB6+OGHdezYMX3uc5+zlr373e9Wa2urDh8+rD/+4z+uWgMBAADqCXETAABABYOGf/KTn9Tx48dlGIYikYjC4bCeeuopJZNJjYyM6Pz583r/+98vSfrxH//xqjcYAABgpyJuAgAAWLFuwimZTCqdTluPP/CBD6i7u1tPPfVUXrljx44ROAEAgKZG3AQAALBi3Vvq+vr68h6HQiH19/cXlTMMw7lWAQAA1CHiJgAAgBXrJpwymYyeeOIJnThxQpLU1dUlr9crSTp37pzOnTsnSTp//nz1WgkAAFAHiJsAAABWuEzTNMsVmJ+f18jIiM6ePaszZ87kPXfnnXdqdnZWQ0NDGhsb06FDh6ra2HrA9L4AANTGTjgHEzdtzE7YZwAANKPtOAevm3AqZ35+XjMzMxoYGHCyTXWNwAkAgNrY6edg4qZiO32fAQDQqLbjHLzuLXXldHV1FQVNp06d0vDwsB599NG85ZOTk0XLAAAAmgVxEwAAaCZbSjgVOn36tGKxmGZnZ3Xy5Mm850ZGRnTo0CGdPn3aySoBAADqEnETAABoZI4mnGKxmB588EE99dRTRYGTJB05ckSpVMrJKgEAAOoScRMAAGhkjiacKpHJZLa7SgAAgLpE3AQAAOqVowmnubm5dcskk0knqwQAAKhLxE0AAKCROZpw6uvr07Fjx/TCCy+UfH58fFxut9vJKgEAAOoScRMAAGhkbU6ubGRkRIODg3K73RocHNShQ4e0f/9+JZNJxeNxSdKTTz7pZJUAAAB1ibgJAAA0MkcTTpI0PT2tSCSi++67L2/cAb/fr8nJSaerAwAAqFvETQAAoFG5TNM0q7Xy+fl5pdNpHTp0qFpV7DgLCwvq6urS/Py8Ojs7a90cAACaRr2fg4mb6m+fAQBQr7bjHOx4D6dcXV1d6urqqmYVAAAADYG4CQAANJKqJpwWFhYkiStWAAAA62jmuOlvU2ndcN2y9u1q1b5dbav/b9Wu1ha5XK5aNw8AAGxCVRJO4+PjikQi1lgEbrdbH/nIR/ShD32oGtXtSMO/P6P2PdcoN0ZyuaTdba36o5/us5b9cuxf9Piz8yvPK7+sSy5N/2y/texXP5/UP3wzfwrl3Nf8/k8eUUdbqyTpv//tOX3h7PkS61159Nt3v16du9slSb/72Dd1+qnnbdf7X37stbpuX4ck6Y8ef1Z/+fXnCsqulf7PP/Qa3dS1W5L0J1/5tv7sn75bVC67TT46cFgHe/ZKkv7y68/p0S9/23a9H3yHoVdff40k6a+Sz+vkE98qek/Z0sfedlCvffm1kqQvfmNOf/D4s0XvK9uG9/Uf0O2vWLma/MSz8/r92Wdst8NP3P4KHX2lW5L0te++oN957OmcNuSX/9eve7neerBHkpR8/iU9/Ng3bdf7Q6+5QT9o7JckPZO5qPAXv2Fb9l23XKd33XKdJOm5Fxb13//uXIk2rPzxtoPd8r76eklS5uIV/ebfnrVdb9/Nbr3nNTdIkl5avKr/9jdrZfM+w3Lp9Tdeq/fe9jJJ0uWry/r1L6Ryyrpyykq33nCNfuT7Vsqapqlfyymb21ZJOtSzVz/2updbj//7357T1eXlkut9Rddu/fjrb7SW/c5j39SlK8sl23zDNbt09xtush7/QeIZvXh5qeR26N7TLv8b18p+6h+/pczFqyW2g3RNR5sGc8r+33/6rs6/dDn//a2+Zndbq4ZuXyv72a8/p+devFxyvW0tLXll/yr5vL69sFii7MqD3LJ/fy6tZ+cvlWyDJP3Ya1+uttaVyUlnn8nom3MXbdf7ntdcbx1P/vFbC/rG3IWC9a696I5b9mvvrpXTyT8/94LOnrcv+wOHenRNx0rZp55/SanzLxWVy5Z+0yvd1nHqG+kLShatd+3vI6/oknvPStln5y/qqedz1ltw7Hnty69Vz95dkqTvvrCYX7bgu/zq66/R/n0rZc+/dDmvbGEbjP17rWNl5uKVsus94N6j669ZKfvCpatKnrdf743X7tYN166UvXD5qlJltu/1+3ZZZRevLuWVLTxG9Oxtt9pwZWlZ59L26+3a3WaVXVo28z4Pud9jl0u6pqPV2g7Ly6aemb9Ycp0uSXvaW63ta5qm9VkvtR062lqs/Sat7LvcdUnSiy/mv75eEDdJ733kH+Tq2Fu0vLXFZSWfchNRuY/3Fj1Xyd+t2tPeSjILAIAqcjzh1N/fr0QiIb/fL8MwJEmzs7O69957FYvF9JnPfMbpKnekz3z9e3J1vFS0fN+u1rzHf38urc98/XsVrfOL35jTpwqSMrn+x785Yv392Dfn8pIyhX79X792rezTGf3vxLO2ZX/5Pa/RdftW/p55JqPfm3nGtuy97+q1Ek6PP7ug381JyhQKvOVVVsLpiWcXNPnFb9qW/TdHbrISTl/+9gt66O+/YVv2h2+7wUo4fe27L+g3/+asbdkfONhjJZy+/r0X9Wt/nbIt+4YbO62EU/L8Bf3qXyVtyx7s2WslnL6ZuajQ6adsy/bs3WUlnJ6dv6RfidvPSNTa4lpLOL24qF+K/Ytt2Xvf2WslnOYuXNHHPvN127I/97aDVsLpxctL+uhf/LNt2ff1H1hLOC0tK/jnX7MtO/TGm6yEkyR96E//ybbsD992Q17C6cN/9lVdurpcsuw7e/fnJZyC//efdP7ClZJl33TAnZdw+sin/1nfzFwsWfa1L7s2L+H0i5/5uv75uRdLlj3YvScv4fTAZ7+u2WfmS5a94ZpdeYmhT5x6Un+dSpcsu29XfnIqdPqpsseI3LL/5a9SZY8RLx1/r1ZzSPqNL5wtSrDmeu6BO62E02///TmFy3znzn5kQK/qWTmdPPwP39R/+Sv779FX732nbnvZyvfzf84+o18u8xl+7Bd+UP0H3JKkP3riWxr/tP1n7XPH3qp39K58N/74y9/Rz//JV2zL/vn736QfWv0Mf/pr39X7p75kW3bqp/usz0T8ye/p3/yvhG3Z3x2+XT979IAk6W/OpvWvfucx27K/ddfrdextByWtHFcHHvp727ITP/J9+vA7eyWtHP/e+ht/Y1v2/jtv1cfufLUk6cnvvaQ3/Opf2Za99529Cv3I90mSns5c1K2hz9mW/bm3HdRv3vV6SdLzL13WLcdP25Z939ED+p3h2yVJF64s6eCvnLItO/TGm6yLMKYp3fzLMduyP3zbDfqz97/ZenzoV+JFx4hO1+XCl+14xE0rbrx2ly63tWvx6rIuXV3S0uquXVo2tXDpqhYuXZXkfEIxm3za3daqthaXdre3aE9bq/a0t2h3e6t2t68kpm7q7NB1+3Zp3642SaZeury0Um5Xq/a2t2jParm97a265bp9utm9R60tLr1w6aqVoHW51tKzLtfKv5dd06Hu1UTqhctXrYsGRWXlUs/ednWtJtYXry5ZSddSZa/taNO1u1eOy1eXlq1zpEs5yefVsnvaW6yLBkvLpl5YvFpcdrWGXW0u69xgmqb1HSxVtrXFpdYWl1U2O2rsWv0k+wCg0TmacLrvvvtkGIZOnTpVNAZBJpPR6OioHn74Yd1zzz1OVrsj/caPv0579q38qDK1Ni57W0tLXrn/9wcO6V+//kbljt2e/bNwNPf3v/mVetct1+WtL3fI9/aWtRP3T3peIc/Na/ugcF37dq3tev8bbtSrr9+Xt67cv7v3tlt//8htL9PLVq9yl1rvDTnPeQ9fp91tLbZlX7GamJKkHzR69EvvuTWv7tw2vKp77arnm17p1sd8r7Zd7y3Z7JikN97UqY96D+evN+cVr7nhGuvv2264VsE7bilow1rZbBJLkoyevfrQO3pz2pDfijfetHY7xM1du/Uf327krS+3tOcVa/vpZdd26D/8wNpgsYVj+h9d/fEtrSSqPvDWV+W0Id+bX9Vt/X3t7laNvOWVee8t9zVvO7hWdndbi/7dmw7ktCF/vd+/mkiTpLYWl362/2bb9ea2V5L+recVtmVzt5m08rm8smyWbMNtL7sm7/GPvvblenHxasF6Vx707t+XV/bOW6/X86s9kQq3783uPXmP39G7X7fkvD53P1+f81mXpLce7NEN13Tkf5dX/5/teZPVd7NbHbnfjZxm7G7LT0q/4aYuXV4yS6630G0vu0Zvf6mn5PaVpJxDhG65fl/efi/cxrnHqkM9e/XmV7pt17sr573c3LVHfbnHnoL15r6/l1/bkbffC8vuaV8re92+XXrd6new1Hd5b/vaMa17b3ved7twP+ce/zp3t+nw6jHDLFE+9yLBvl1tOrSaJC/1Xc4tu7utRQfca8e4wveWW3ZXa4tu6tyd955yy+eWbWt16YZr1nr5FK53b07Z1paVH6h2ZXO3b4vLpa7VH6e5xbKvyf28ugraVLjeXa3557nseaDUetta8n9wZh/nlzVX6228H6fETWu+/cJluTpKh6XTP9MnY/8+vXT5qn73saf1u2fsL2a959brdW1Hm166vKR/+d6LeqqgR2Chly4v6aWcXq9O2t3WovZWl15YtF//240evfmV3dq3q03fXrhU1Ms510e9h/Whd/Rq365WPfHsQtnk88fvfLU+fudKXPXPz71YcfL5G3MXyiaUc5PPz714WTc+8FnbsrnJ55cuL6nzo39hW3b49pv0hz+1knxeXja1+74/l5SfxMr+/d7X3KBPve+o9dobPv6XunhlqWTZtx/arz99/5ussq9+8LTSFy7nJOjWjiyem7v0FyNvscq+6df+Ws8uXMrrJZste+sN1ygWeKtV9s7w3+up519a66mbU/aV7j06dextVtnB35vRV76zkNerN9ve6/bt0ud/7vutsv/PySeUeGY+r5ds9u+97a36wn/4AavsL/zJV/TFb8wVJDVXHrW4pL/JKfuLn/ln/VXyfFGiMvv3p+95s3avniNCp59S/Mnv2Zb9o5/qsxKhv/W3Z/UXX3uuKPmYTbBG/G+0euH+3pmn9adf/U7pspJ+9V+91orLpr/0Lf3x6gW14gSrdP+7b5WxGq/9+T99V9F//NbaOgsSrGPv6rUuYn/uqef1R088a5XN384u/ZzNXRP5CdaVsj/bf7PeeNPKcfxL35rX/5p9Nq+NVttd0uAbbpTnZrck6evPvaj/uXoBsKispB++7WXWBe9z6Qtly95xy3VW/P+t+Uv6X4ln8tqY2/a3vqrbujh+/qXLZcseeUWX3rZaduHSFf1BIue9FfROf+3Lr7XKXryypD/KbrOC/Sat/GbLlr2ytKzpL33LKlu4nV/p3mO11zRN686YUmVffu1uvSXnd9Cnv/ZdLZsq+txI0v59u/SmV66V/fxTz+vKslny8961p019q/tNkv7hG3NavLpclMSXVuKk23N+433pW/O6dGU57/O+didEi15341o8/PXnXrQ9prW3uvSaG9Z+k34jfUEXbMq2ulzqzfld/O2FSyvrzfmuvbhQ/hzpBEdnqRsaGtLU1FTZMseOHdNv//ZvO1XljsNsKwAA1Mb8/LzcbnfdnIOJm9bipqOhz6h19968i27ZEPV//MQRfd/qj77/ceZp/cbfpGSauUnitWTt7wzfbv0g+IPEM/rEqScLyq70tFmWFHrva/SGm7r00uUl/dk/fUe//XfntGSuJDxMScumqeVlU8uS3mHs1/XXdOjC5ZVbYP/x2y9oeXVd2fpz66m21hZZvcCktR9PWW+8qVNvedVKIuuly1fL9gx//5sO6GN33qp9u1r13AuL+r5Pft62bG7C6bsvLFaccHpx8WrZhFNub8flZVNtY//Xtmxhb8e99/25bY/od/Xuz0v2XPexzyhdpkf0F3/hB63Hr/rPMT2duVSy7Gtfdq2+fO87rcffN/E52x7Rh3r2KvmRAetx/3/9ayVWh9ModMM1u/Sd+99tPX7Hb/2tvnDWvkf0C594r/X4vZNftO0R7XJJS5/8Ueux//fO6NEvf6dkWWmlR3T2osTP/uHjVpKjlOceuNO6jfrYp/6xbI/ocx8d0CtXLyJ/6E+/qv9a5s6C3B7RH/vMP+s/l7kDILdHdOj0U2V7RH/+2Nv09t6VOwt+42/O6hcq7BH9O499U/dU2CP65BPPlu0R/T9+4nb9TP/Kxd0/++p39GO/e8a2bG6P6NNPPi9vuLIe0f/wjbmKe0R/+dsLemOFSenU+ZcqTkpv5BjxwqWr6vpPHCOk7T1GmIsXpN/8ifqZpS7bFXyrZQAAADaq3m7RIW5aE//AWysKdt939IDed/TAuuUk6Sc9N+snPTdXVPYNN3Xqo95Xr19wHaZp6uKVJavn1Mq/qxX9faHk8vzHS6s9f5cKfjsVJrqe+NaCnvjWQkVtfuSxp/VIzhAILa61Ww33ZsfJal95/HTmon76DxLau7rsw+/s1d7VW/L2trdq764W7W1v095drera3aavfueF1de36NxHB7S7bWUQ+MIkYF4vSpf09C96SyYfTVNWz5usr977Li3n9DrN7YG6p6Ds3/2/P6CrS5WV/fQ9b9Hl1Q1tmmZegjO3B78k/eFPeXTxSumyHQVlI4NvsG5bLEyctrfmH8NO/OhrNXfxck57s2VN63bFrI/feauVmMgrWyIN+qF39Oonbn+FbdncuyY+8NZX6c5br89pb35P3Gtyeg3/dN/NVu/23HVm/84dh+/uN9xo3ZVQquzLrl3rSf5Dr7lB+/ftKqo/W/bmnLsm3tm7Xw/+8G3FZVefP9iz1pv9za9064F332pbtvCuiY8MHM5rY+62uzWnZ/Wt11+jD72jt0TZlQe35fRQOdSzV//hBw7l3XaaW/a1L1sre1NXh0be8krbhPvrb1wre92+XfrZ/puLE+6rf+eW7drdpp+4/aaiz9ha2bVj8972Vv34615e9P3JtiV3vbtaXXrva26wLZv73lpbpIHD15Ws3zTz70qRVsYEzV1n7ra7taBs/wG3Ll1ZKlHWzOsBJK20KXPpilVvbtlD+/PHGezdv886bhRu51d259818Yqu3bqYbUPB5+3l1+bfNXHdvl3WssLj3/6c75C00lO/e7WHYeF2LhzKZ/fqcTz3PS0vtah0ysw5jvZwuu+++/Tggw+WLfOpT31Kd999d96y06dP64477nCqGTVFDycAAGqj3s7BxE31t89qyTRNXV5aLk5ELS7pxXWSWhfKJrtWHl9Zqn7/LJdLVvLKbkD3vTaDw1fyd0tLfSWdAaCWtuMc7GgPJ5/PV3asgdOnT6u7u7toeTgcbpjACQAAoBLETdgIl2tlwO6Otlb1FE/ot2VXrGRWmeTVYnHPq/LJrJW/s7ezmGbuuFnOD/K/u61l3cTU3hLLr+lYP6nVVjA+HQBgfY6P4XTq1CkZhqGenp6859LptFKplPr7+4uWJxIJLS1VZ8DG7caVOgAAaqPezsHETfW3z7A5S8tmRYmpUr2vLlRQbjvsam3Rej2v9pZNdq0+7ih+bldrS93dEgyg/tVdD6d4PC7DMNTd3V00K1B3d7f6+vqKljuY7wIAAKgbxE1oFq0tLl27u03X7nb0p4ckZ8fNenGxuMzqsFm6vLSsyxeXNXex9IDCW9Ha4iqfpFo3mWWf5NrT3koyC0DNOD5o+MzMzIZfNzQ05GQzAAAAdjziJmDrXC7XyqDlu9p0vcPrNk1Ti1fXu9Vw6+NmLS2bWrh0VQuXrkpadPQ9MG4WgFpyNOEUCoU29brx8XEnmwEAALDjETcBO5vL5dLu9lbtbm/V/n271n/BBjXCuFl72ls2PGZWpUktxs0C6p+jCaezZ8+uW2Z4eFgnT57MW3bkyBEnmwEAALDjETcBza29tUXuPS1yr05r7qTtGjfr4pVlXbxyWc+/5Phb2NS4WbmPsz27Si3b007vLGA7ODpo+OHDh/Xkk0/aPv/444/L6/Xq/PnzTlW54zD4JQAAtVFv52DipvrbZwAqGzer1HhYpXtn2Y+bVW3Z3llrtxyuJadyk1WVJrFye3TtJaGFOlB3g4Ynk0k98sgjev/731/03Pj4uEKhEIPWAQAAiLgJQH3aqeNmXcz20LpSmOBaHST+ypIuXlm26sr2zqqW3W0t6/a62lsmYVV8W2J2+cqyVhJaqAOOJpy6urr00EMPqa+vT7fffrsk6fTp0woEAkqn0wqFQgqHw05WCQAAUJeImwAgX7XHzVpezu+dVSo5ZZewyr6uMIm1diviymuzLl1d1qWryzp/wfmZDSWpI5vQKpOw2lsmYbXeMsbQghMcTTidPn1aR44c0Sc/+UlJUjgcVjgclt/v1+TkpLq6ujQ6OupklQAAAHWJuAkAtldLi0v7Otq0r8PRn8GW5WVTl67mJ6FWklhXi5blJqwu5NxuWJjEyit3ZUnZAXEWry5r8eqy0qpOQis7hla5Xld710liFb9+bVk7Ca2m4OgYTrk+8IEPaHp6WpFIRHfffbe1/Ny5czp48GA1qtwRGIsAAIDaqOdzMHFT/e0zANhupmnq0tVlawbDC1fyE1NrPbRsElY2ZXN7dVUnO1CsvdVVNF5WqV5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XLj1r++Dxnr55L7jt3MVzeu6g7cND2s5eOKfnL+y3ffTkade2z09PeW0f73Vve/n8pGYunJO0/1nu1vbiuQmv7dND2l5oaus43dtOT7W27baPz01GvLaS1PDZF2922T+nwTjHTQAA4OwZSMJpZWVFxWLRq0VgGIY+/vGP66/8lb8yiKcbSX/+79Z8L6m7fH5Sb/70j3q3f/rWl/Vzv/6NwPU8/cyf8v5O/c8b+vy/+b3AtvdWf9T7wfUX//4X9Xc2fzuw7d/58+/T5MSE7j16or99+w39H68HT8388rfN6MlTR/ce7en3dnZ1/3Hrj98nTx299WhPbz3a0ze7/Fg4jvmL5zR36Zwun5/SzsPHen3rQWDb9B/+dl19wdDl81P6V7/Z0H//i68Htl3/jxeU/L5vlST9fP2b+vN/txbY9v+99D79X6+9IEn6pd/c0p/+n74Q2PZ/+NAf0Ed/4EVJ0hd/Z1vXP/tLgW3zf/L36Sd+KCpJ+ndfe1M/+D/8H4FtP/HB79InPvjdkiTr7n39kb/5LwPbvvJDUeX+5O+TJH11Z1f/QZe2f+kHXtTf/NAfkCQ17j/W9//3vxjY9i9efUH/0597n6T9H9V/+L8Lbrv4fd+qf/AfL3i3/9B/978Htv0T3/sO/a8/9oe823/kb/5LPQxI9vxQ9Ipe++gPeLfjn/0l3Q14773/BUP/6r/4D589z+d+Wb9l+79/3vvO5/VvXvkh7/aH/vZGYMLyxbmLsv5q3Lv9f/5fatoMSNS947nz+r1Xf9i7/Z/e/JL+f1bDt237d8RHf/Zf9/wd8bF/9Kv62X/z1cC291Z/VBcn9r8jPv5Pf63rd8TXP/lBL3H76j//dRV+6TcD2975+HUvuZn7+a/ov/kFK7Dtr77yQ16i7r/7xTv6ryu/Edj2C//Ff6irLxiSpOK/+i2t/NNfC2z78x/9fv3R6NskSX9n47f1f////NvAtv/kx96vHzlI/Jf/9e/qx9Z/JbBt83fEP/61r/X8HXHry9/s+Tvil35zq+fviC/+znbXz2fzd8Svf/0t/cG/8QuBbZu/I35r64Giq7cC2zZ/R3zj3iO965P/PLBt83fEvUd7euerwW3bvyPe/on/LbBt+3fEu/+flY7viOcjpzPhRNwk/dNf+5ouPXdfkuQWAXDLAfyRl+ZlXNxPNta/eU+/3nTSqb3t+7/d0PzBCarf2rrf8h3utnEf875ve3aC6ne3H7a1bV3/e7/leb39uf2233hrV7/2NZ+2B/+/523P6Z0HJ7O27j/qOI40lzl4af6S13bn4WP9+tfvtbV99ve7Zy94J77u7T7Rb3yzrW3T39/y/LTX9uHj/ZOW7e3cfrzt8nmvD4+ePFX9blPbppVGFJFx8ZzX9sneU91p3Pd9XRHtJ8Ddk3pPnzr6zabYrXW90qXzk972dRxHv7390Pd1RSLShalJXbl83lv21Z2gthGdn4x4Jywl6Zv3duUWE2l/bVMTEc1efJbU3n7wWE8PGre/tolIxEvuS/v746nveg+uNDj/rO3Dx3veCbX21xZRpKWu65O9pwFt929NTjxb2lwlhVIaAEZF6Amnq1evqlarKZlMyjRNSdLm5qZeeeUVVSoV/dzP/VzYTzmSrr4wq6kLlzuWX5iabLn9Xe94rusZ3WbRt13WtYMfX36aDy3fMX9JC+8OHpb/J3/ft3jB2zfeeqSHASMzJOl//bH3610HQct/8wt1/d2DH6lPHemp4xz82//7Ex/8Ls1eOKd7j/b0j//d1/TaV765f//Tzra//1ue10QkonuP9vS72w909/5j7/72sSqNB4/V6DISolnxX/2Wiv/qt3pq+x/9vZr+0uf/jS6fn9RTx9GFqQlNRCKaiOwHE5GD/yci0s/9+tf1zXuPdPn8pH7Lvq9vm72gicj+QX0iIk0o4t1+fvrZfr50blLf/fbO94Jrrim4uXBuQu95W3Db+aag6fzUhDd6yE9zMDY1GZF5Jbim2Nua2k5O7AfAvaw3ov3ESy/rlfZHaAV5+0HQ73q3cVG7T/xH9rzjuda2zaNbDmv7zuenvUtZO/rwXGt/3375vLZnpn3btq/3yqVnAXu7t11qXe/cxXN6R9tzuS61vY7Zi+f09sv+bds9Pz2lK5fOHd5Q+8H9fJe2kaZvlEvnJr3vC9+2TV8+F6YmNXsh+NAy0dR4f3RLt7bP/j4/FdFz0/77WGoNus9N7tfE66Xt5EREF88FXxbc0jayP5qzl7YTkf3X10vbyEGfgzRvh0hkf8RccNvW+ya7tG3/QcLvk+EgbtoXdKJOak0+l//1V3tOPv9/f/VrPSef/7df/3rPyefXvtL7Cap/+XrvJ6g2f7v3E1T/9vfe7Dn5/JVv3tP39Zh8/p3th3rvp/9FYNvm5PPd+4/13bmfD2zbnHy+/3iva1K7Pfn8HX+9Gti2Pfkc/elbPZ+g+t7cz/d8gur7/sYv9HyC6tp/+78HnqB6af6S6h+/7t3+D/+Hf9nzCarrn/0l/e93ejtB9Sc+98uBJ6giEWnv089OUC39nQ3vBFV7Mk2S7L/+x70k2X9680v6e7Xf8dbT3va3/lrcS9z+5X/0b/Uzv9wagzc/5ldf+WN64SAW/Gs/9+/1N3/xTlvbZ41/6T//I94I9U+99mX9jX9RD2z7v6X/sF7+tv3fPX/zF+/op249m93zWYJ1///yX7iq739xXpL0t2+/ob/2c/8+sO3f/nMv64995/73yfqXflfZf/LvfNru//Xf/9nf713F8k/+3df0l//Rs++e9mT3p/7E9+rP/oF3SZL+xVe+qY/+7L8ObPvXEt+lP/fyt0mSfvk3t/SRpu+p9mT3f/mDUf3Fg++ef/PVHf2Fv//FwNeW+f4Xlf7D3yFpP5H/5/7uZuBr+48W3q3//I/s1xb8ne0HSv7PGx39dR/3oT/wLv2Vg++pxv1H+jNN33/tbX/ke9+hn/zAeyTtn8T+0bVf7nhtbts/Gn2b/qsPfpek/QT2D6/9q47+uo97/7fP6b/+49/jLfsz/9MX9Ojg6ob2xO0feNeMPvUnvtdb9n/5X2raefj4oG1TfyPSe95+WZ/5U+/1ln1k/Vd0996u72t7t3FR/+3/6fd7y/7yP/q3+t2mRHpzX97+3LT3vSpJf/Wf/Zru3L3f2vZg/TMXpvS3PvwHveV/vfob+o2Akxrnpya0lvo+b/l/8wt1/duvNl2hE5Ee3Q++EigsoSacfvInf1KmaerWrVsdNQhs21Y6ndbnPvc5feQjHwnzaUfSrR//gZ6GxP+//szvP7SNq/nDcJhP/vB365M//N09tV25/h6tXH9PT20/9kej+tgfjfbUNnUQmB3Fk72nAfWvgv7e0/3H+8vuP9o7uAzRv23zCK1He/uXe7SdJPR180u/q5tf+t2e+v8X/v6X9GPrv9JR76q9Htal81P6d197U//Vz/17b/lPfuA7g+tnTU/qweM9XZia0He9/Tn9xk9+oKf+vGBc1FdWrh/eUNLbLk+3BEbdXJ6eahnl000kEtHr/4/e2krq+bVJ0q/8lR/que0vNwWTh/mF/+w/6Lntz6X/cM9t/+F/8v6e2/79/2jh8EYH3MC+F//jh/+g/semA1Y3f+NPv1d/40+/9/CGkv76j3yP/vqPfM/hDSV9/Pp79PEev3v+yx+M6r/8wd6+ezLf/6Iy3/9iT23/wtUX9BeuvtBT2+T3fav3g/MwP/q979SDT/2Jntr+0He+Tbu5P9lT2/d/+5we5Xtr+/vfNaPHPbZ96cqllh8j3bzz+emWkXXdXD4/qb1P99YHSXrSY38ltfzQcm1vb+vKZ3pexdARNz3TfKKufTqb5gTytzw/3XJCrb2te6mqtH/S4/u+daalndN0Squ5rXHxnN57MPrSbdO87ubRLM9PT3knktwmQW0vnZtU9OCEj2/bpj5cmJrQdxycxPHrb/PJrPNTE/q2g0v3fV9b04iaqcmId0LEHQXT3IfLTW0nIvJOXDRvWrf9paZ9EZG8Ewx+bafbkvnufmx+brfP59uS7m7C3q9teyJ9ciKiyYlIywgfv1FBeGb/5O/BDZ/5o5p/PO89dbwf64fZffK0awmP5n304PFe19q1T5va3n+0F5godPvouvdoT197czew7eO9Z23f2n2i32lLAjR72PSb4a1HT1pG6bVrLpXw1qMnqrclDJq9ufukqe2efv0bwT9EmksP3Hu0p1/tUv6j+RL2+4/29CtdSm/83s6zbfTg8V5gElTaT9y6dp881S//lh3Y1k38Sfvb+l92uYom2nTifO+po1+w7ga2fXvbid5bX/5mYNvzbfWFK7/xjcCk9MO2K3f++a9/vWtSunW9X9cbtv/7571NZTf21/uNrknp9rbdktLNCafKr3+ja1K6OeFU/Y1vdCSlnd3g92lYQp2lbnFxUevr613bfPSjH9Xf+lt/K6ynHDnMtjL6nj519OBxZwH35r/vP/a/7/4hReDvPdoLrCUUpuZC8EHJqUs9FIG/FHBft1ERADCqTtsxmLjp9O0znA0tyammsG2iKf55cpBk8UumSWq59K35Mrn29Uutl9Q1X363v/7Wts216t58+ERPnj5tatuqeeS7/eCxHu89bUvSPeuPe4mltH+p58Mn7W2f3fjWmQte0unuvUe6/3gvcJu927joxY3fvLerNx/utayrue23z130rfnol/t6cf6ipg+uDPnGW7teMuVZgvUZ88olb6T7N97a1e8dJJz8krHRK5e9ZPM33tr1Lt/0krFN6/3OK5e9yyy/8dauXm88aFlfc3+/822XvasAvnlvV18+SCL5vbb3vO2yd7np3XuPvBqyfv39zrdd1rfN7ieit+4/8uq3+ra9ctkrcbD94LG+8IYd+NqiVy57V0q8+fCJfvHO3cD+mlcueeUQ7u0+0Wtf+WbH+tz2L81f0h88SPQ/fLynf/rvv97UpvUd/B1zl7zRq4/3nuofNpWOaf9cvGBc1A8cjExzHEd//4u/09S21bfOXPBGpknS/1L7be09dXw/G9/y/LT++Pe8o6XtbsBn4+2Xp/Vnfv+3tLS998j/szF36ZyW3vdt3vK/V/tt2Q+e+H42np+e8kbFStI/+OLv6Otv7fpu34vnJlpOqt780u/od7Yf+r62qYmI/vIPmt7y0q/8rncZtNv+wb039ck/HRvoMTjUhNNP/uRP6lOf+lTXNp/+9Kf1yiuvhPWUI4fAabw5zv5ZIP8kVfdE1f0eRnIFFbAO2/TUxKGzFV7qMnNh8wyI7Y87PzlBbQEAA3HajsHETadvnwEAcFacxDF4oLPU+XHrEzR77bXX9IEP9H75DDCqIpGIpqcmNT01qS5lkI5s76lzkMDq5TLDtksO20dr+YzyctPP+7MgPu25vlg/JiciAcms1pFX+8mrgEsLA/6+eG6y5ewkAJx2xE0AAOC0CjXhlEgkutYaeO211zQ3N9exvFAoEDgBPZic2J8V5fkuhZaPynEcPXzydD/5tNv9ksP2vx887p7suvfoiXfN/N5TRzsPn2jn4RNJwdfYH1X7KKtL54NuH37JYfvfU5PBRaABoF/ETQAA4CwLvYbTrVu3ZJqm5ufnW+5rNBqyLEtXr17tWF6r1bS3F1xg7jRhaDjg77F3qWFwAqv18sOmmlqHPO5Bl1kWw7Q/+1n3RFVQXaz2x3iJsen92xemuNQQOK7Tdgwmbjp9+wwAgLPi1F1SV61WZZqm5ubmOoqCzc3NaWFhoWN5iPkuACPs3OSEjIsTMi6eO7xxn54+dToKvfsXePcpEH9Iba17j54V93y858h+8NgrchmmiYgOklXBI63aR2t59bQOufzw0vlJCsEDI4i4CQAAnGWhJpxM09TGxkbfj1tcXAyzGwDGzMRERM9NTx3MOjJ9aPt++BWCv/do7+Cyw+6JKr+k1/22yw/dQvBPHemt3T29tTuYUQsXvELw3RNTvVxy2Fxj69L5SUZnAUdE3AQAAM6yUBNOuVzuSI9bWVkJsxsAEJpBF4J/svfUt4D7YUXg7z16ogddkl1ucssdDPHwyVM9fPJUdwdQCD4SeVY7qzkR5S1rKuoedF/z49zbzX9TPwtnEXETAAA4y0JNON25c+fQNktLS7p582bLspdffjnMbgDAqTE1OaGZyQnNXAj/UkPHcQ4Kuh+e0Gq/tLB9VsPmEVruyK1He08Pnkfe/YNyfnIiMBm1n7jqTGS1JrWmfJNc7n2M0sIwEDcBAICzLNSi4e95z3v05S9/OfD+L37xi4rH47p7925YTzlyKH4JYFy4o7Pu+ySj3EsHW2/v37/fLvi+e4+eeMtOqlyNO0qrM2HVOeqqOYHVmfgKvo9RWoN32o7BxE2nb58BAHBWnLqi4fV6XT/zMz+jH/uxH+u4b2VlRblcjjPIAHBGDHJ0lrQ/Qmv3ydOOBFZzgqrbffcDEl/Nf7s1tJpHaX3j3kBejjfLYbdRWBf97ju3P5uhlwBrut3898VzkxxjTxniJgAAcJaFmnCanZ3VZz/7WS0sLOh973ufJOm1115TJpNRo9FQLpdToVAI8ykBAGdUJBLRhXOTunBuUlcG9BxP9p7qweOn3qgqv1FXzSOumpNaD7rc11wc3jmBWQ5dvVxSeNHnksJulxs233eOUVqhIm4CAABnWagJp9dee00vv/yyPv3pT0uSCoWCCoWCksmk1tbWNDs7q3Q6HeZTAgBwZFOTE3p+ckLPXwj1cOhxR2n5XjbYJbnl3vegy33u49xRWpL273+8Jw1wlJZ3aWHz/+3Lmi4rPOz/y23LpseonhZxEwAAOMtCjbDdIpavvPKKfvzHf1ylUkmlUkkf/vCHvTZbW1uanZ0N82kBABhJzaO0BjHLoSTtPXU6ElnHvuywLdH1tGmU1vbeE20/fDKYF6PWelrdElMXfZJXkUf3B9avQSBuAgAAZ9lgTulK+uxnPyvDMJRIJFqWZ7PZjtlWAADA0UxORPT8hamDUVrToa/fcRw92nvaMeLKHW3l939zmwftbR53JrruP97T4z3n4PmaZj3sc6SWs3u6Ek7NiJsAAMBZc+SE09LS0qFtbNvWwsKC4vG4JKnRaKharR71KQEAwAmLRCKanprU9NTkQJ/n8d5TPQhIYt0LSnA9bk1s2du2/slAe3l0xE3d/cW/X9OV+TnNXpjS7IVzmjn43709e3FKM9PP/h70+xEAABzfkRNOlUpFpmlqfn6+a7uXXnpJ9Xrdu23b9lGfcijy+bwMw5C03/fl5eXhdggAgDPo3OSEzh1z1sOdnR3N/mchdipExE3d/cN/+zVFpt/s+XmmpyY0e2FKM81JqQtTmmlfdnFKM9P7/zcnsGYuTOnyeWZ2BABgkI6ccDJNUxsbG30/bnFx8ahPeeISiYRyuZxisZgkKRqNyjRNJZPJIfcMAACcJsRN3eX+5Pfq0eQFbT94op3dx9p5+ETbDx5r++ETbT88uP3wid7c3a8ftvvkqb7+1iN9/a1HR+7v5ETkYNSUT5LKG2XVmajybl88p+enpzQ5QdIKAAA/R0445XK5Iz1uZWXlqE95oorFokzT9IImaf81k2wCAAD9Im7q7se//0XNzMwc2m7vqaM3d59o5+GzZNT2g9ak1PbBfTvesoO2Dx5rZ3e/zd5TR3tPHW09eKytB48lPTjqS9dz05O+SamZgMsB/S4ZPD81ceTnBwBgVEUcx3GG3YlRNDc3p7W1tb4TTDs7O5qdndX29nZPgRMAAAgHx+DhOU1xk+Psz+zYOnqqczTV9sPH2nGTWbutI662Hz7R7pOnofXpwtREx+ip2Qv7lwPOXGy9ZNBNWM1M74/Een568uB/RlsBAHp3Esfgvkc43blzR7du3dLi4uLIBXO2bSubzcowjK5nEqvVqiqViqLRqFcbobnGgG3bsm1bhmGoWCxKkur1ujKZjEzTHOhrAAAAZwdx0+jFTZFIRJenp3R5ekrfOnvhyOvZfbLXmpxqG3G1P8qq9b725NZbu3uSpIdPnurhMS8RlKTL5ydbklHP/p7S8xfOeX97/zcvc/9NM+IKABCOvhNOL730khzH0Qc+8AFduXJFmUxGH/rQhwbRt55ls1lZlqVr166pWq16s7v4KZfLunnzpkqlkresWq0qkUioUqlIkizLkiTVajUvoLJtWy+99JLu3LnjFcMEAADohrjp7MZN01OTevtzk3r7c9NHXod7iWD76KmWSwYPElc7B8msN3ef1bnaefhEO7vPRlvdO5jV8avaPeZrm2hNRE2f8/5+3ieZ1d7GXX7xHIXZAWCcHeuSujt37qhQKKhcLmthYUGZTEYf+MAHwuxf3xYWFnT16lUVCoWO+7oFP27/0+m0F0iVSqWWoeGJREKxWKzrWUCG8wMAMByjfgwmbuo06vvstNh9sndQ2+pJSyLKrWO1s/ts2Zvtyw4uGdx5+ET3Hu2F2i+3MHtrImo/MfXc9GEJq2dJree4XBAAQjeSl9Q1e+mll/SpT31Kn/rUp/TFL35RhUJBmUxGyWRSmUxGL774YkjdDMf6+rpM0/Q907a0tKRCoaB0Ou1NWdw+DNwwDNVqtZPoKgAAOGOImzAo01OTmp6a1NsuH320lSQ92Xuqtx7tdSaqHnaOqtp5eJC88muz+0SOo7bC7Mfz3PTks6RUW6Lq+YORV96/C5P7I7Gmz7Xcfn56Ss+dn9IEySsAOBHHSjg1e/nll/XZz35WkvSzP/uzWl5e1p07d7S0tKR0Oj0SZ61KpZIXFLUzTVO1Wk22bbfMsAIAABA24iaMoqnJCRkXJ2RcPHes9TiOo3uP9gITVTttiao3/UZjHVxO+OTp/sUYb+3u6a3dPf3uzvFfp1vrqiVJ5SWr/Jd3tD9IYk1PTR6/QwBwRoWWcGr24Q9/WB/+8Ie1vb2t9fV1r25BKpXSRz7ykUE8ZU82Nja0uLjoe597Vs6yLMViMcViMe9vF0EVAAAIG3ETzppIJKLnDi6F+1YdvTC74zjaffI0+BLBpoTWm7tP9NbuE+/Swjd3m//tX3K4d5C8CqvWlSSdn5zQ89OT/smqXpNXB/8un59k9BWAM2UgCSfX7Oysbty4oRs3bmh7e1vFYlFXr15VNBodSt0CdwaVbtxgKZfLKZfLebUILMuSZVktRTMBAADCQtwEtIpEIrpwblIXzk3qHc8f73JBx3H08CB55SWimv7eabvtJrA6k1f7/x483i/U/mjvqe7ef6q7949/2WAkIj133k1ATbYkrtxaVu2JrJkuiS1mGwQwbANNODWbnZ3VK6+8oldeeUVf/OIXdfPmTaXTaSUSCWUyGb3vfe87qa74cgOqRqMhSd6MLdlsVleuXFG9XlelUul5ppWdndbxvtPT05qePt6BEgAAPLO7u6vd3WcjFNqPvacZcRNxE8IViUR08dykLp6b1DuPmbyS9utdtY+gejNohNXDg+SVT6LL/ffUkRxH3u0wnJuMeHWrnjtIYD03PaXnzu//fbnLfc8d3Pf8hcmDNvv3TU2SxAJOq2HETSeWcGr28ssv6+WXX9anPvUp3bp1Sz/90z+tj3/840MPntrF4/GuUwV388ILL7Tc/sQnPqFXX301hF4BAABJWl1d1Sc/+clhd2PgiJuA0TM1OaG5S+c1d+n8sdflOI7uP9rzGUm1X8DdL6nlO/rq4PbDJ/ujrx7vOWrcf6xGCKOvXBemJp4lpi60JazO7yex9hNWk95oLffv1sQWlxECJ20YcdNQEk7Nrl+/ruvXrw+7G7JtW5ICi2P264033mgp+MlZOgAAwrWysqKPfexj3u2dnZ2OxMVZQ9wEnD2RSESXD0YcfUsI63u891Rv7T7RW4/2vLpWb+3u6a1Hz5JVrbf3dK/pb+8xj/Zvv7n7rHj7wydP9fDJI33zXggdPXDpnJu8mvQuG3T/fu78lJ4LuK81mfXsvkvnJxWJkMQC2g0jbhp6wumsmpmZGYkZZgAAOKu47OrsIG4CwnPOG30Vzvocx9GjvadtySj/xFRzoqszsbV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ZlprNptbX1wPn73e5QZLJpPf5jcfjsixLxWJRtm37fh4LhYKuXbvmrXdpaUmZTKZrvmw2K0lqNptKJpO+8/SrVqspl8vJsiwlEgmVy+UjLytKS0tLA78v++3vQd43YW4bYJKRm+CH3DQahUJBjUZDhmHIsqzAjHOU3BS0vmvXruncuXNqNBpKJpOBy+h3XrLQ0bZPqVRSo9Hwfl9cXBy47466jKCsRnY6hAO0SKVSjiQnn88fOm+xWHQMw3Di8bjv4/F43JHk7O7u+j6eyWQcSU61Wg1ch2maTqPR6Kvt7jrL5XLbtEaj4b2uQZaFu3Z3dx1JjmmaQ1vHKLZdIpEIfL9GJZVKOZlMxvs8dPaBa3d318lkMm2fp52dHUeSk0qljrzcXtzPcOu/RCLhO28mk+naRsVi0clkMj3nKxaLTrFYHLhtfm3164eTwN1Ggz6nn/4e5H0zrG0DTDJyE/yQm4YnkUh07etM0+zqi0FzU5BMJtP1+U4kEr77x37nJQsNvn12d3e7+nJnZ8cxTdPZ2dnpe51HXUZQViM7HY6CE9qsra05iUTi0B3k7u6uUy6XHcMwAv8ALRaLjqTAD121WnUkOWtra4Hr6SfAtc4b9CXbaDQITsckaWihY1TbLpPJjF1wcrmvM6gwtLa25vtHSD6f7/kHyGHL7SWVSnnbZm1tLXAd1Wo18HMcj8fb2t0ZEoOmDSqRSJyYkNVqZ2fH+yOzX4P09yDvm2FtG2CSkZsQhNwUPvcz0rlfcz9brY6am1q5BZB+pg8yL1lo8O3jHkhtVa1WHcMw+n6vH3UZvbIa2elwjOGELu4p2e6p3X62trYOPR11eXlZkgJP67QsS9LBaY1+arXaQKceV6vVwFOHTdMc+PRZjA7b7nCVSkVLS0td093PyDBOn15YWNDa2prK5bLy+Xzg57Fer3uf506maXqP2bZ96CUn0+bSpUtaWVkZ6Dn99rfU//uGbQMcHbkJozat2y6fzysej3ftr+LxuGzb9i47lcLJTcViUfF4vGu6O611ff3Oy/72wCDbp16vq1KpKJfLdc27u7vb16Wjx1lGUFZjW/aHghO6pFIpGYbR97X/QQzDUCKRUK1Wa7u+3NVoNJTJZGTbtnede6t6ve77xd1Lr7DnjpuA8cS26800TTWbza7p7o7O77FRMU1TlUrF94+g1s+xYRjedfquoMAxDQqFgtbX1wd+Xr/97c7bz/uGbQMcHbkJUZjGbWdZlhYWFrqmu8WCarXaNu24ualWqwUWIgzDaFtfv/Oyvz0wyPbZ2NiQYRjHGk/uqMvoldXYlv2h4ARfy8vLqlQqvoGnXq/3fQQtnU5LOjiy18q2bS0uLnqPX7p06XgNvrOuer2ubDbr2+5MJuN9ydTrdS0tLWl+fr7tSyFoeq1W86bncjnV63UVCgUlk0nvD7+lpSXFYjFvntbnzs/PKxaLtQUA27aVzWZVKBSUy+W89rt6LbNSqSgWi3UtcxwVCgXvXy6X8/0jeZBt50omk2P/2sNUrVa1u7vbNd19z1y4cGFo667X6yqVSr5/4EjyBibNZrNKJpOybVu2bSudTncdQczn88rn88pms95ZAWEOruh+Nt33W+eRrHFRr9dlmuaRjowN0t+DvG+GvW2ASUZuIjeFhdx0dNvb297PYeSmoAKXdHAWeOv6BpmXLDTY9nEHr7dt+9DPRpCjLKOfrEZ26kPU1/RhvLjjArjXf/uNI9A6rddYBI5zd9DEznmKxaJ33a5hGF3XXVer1b4HgGuVSCS8wY1N03QymUzPsWvi8bjvtelBgyS6y3THSDBNs+1a6c7fXWtra2391mg0HMMw2l6j3zR3mX593LnMYdMRxiLwG9BybW3Nt48G3XamaQ48GOe4jUXQ6qhjLSUSCccwjMBBZo87hlPr2E3VatWJx+O+17m7AzG627BzLKFhc/uh83UWi8Wx3OatY7C44xUM4rj9fdj7BkB/yE13l0NuakduCp9pmr7tGWSQ9n73f+4yg8bjicfj3voGmXeYTloW8uO3fdzvxM4x6vzGZApylGUcN6vhAL2GNq0frKBQ0foldlhwcpy7O8TOgWxd7qj/rYFhkEEvO7lfqu5OWJJvIHGcgy8Zv9cYNL3zS7BzZxX0ZdQ5wGfQoH6pVKqrP/td5rANGpwymUzge8NvZ+g4g227oxg0OK2trXkBbZB/RynuHKUw5A4g2+s5xyk4+QXzfD4fGJqKxaJ3dxwNeBeY4+p1Jx3TNPv+vIxim+fz+bbvjqOGmKP2dz/vGwD9ITf1nk5uIjeFuQ8N2rblcrmvgtMg+7+TWnAKIws5zmgzsMtv+7h9K5+B8N2Me9gA8EdZRlhZDRSc0KH1i8i9E0TrB7PzS6Sf4NR515Xd3d22P2T97rpynODUyr2bk/sl0xl0gnakQdMPuz2s+4XW+vp2d3fbXo87j99rdG+ZPOgyR2HQ4BR0pNdxDgJiP6Gg17Y7inE7UtfqKIUhwzAOPVp7nIKTH/duK53LSyQS3rRGo+H9wWSa5kjOokkkEoHfRZlMputzFZWdnZ2uvjtKiDlOf/fzvgHQH3JT7+nkJnJT2OLxeFc/uXepO6ytg+7/ehWROs8YG2TeYTkpWShI0PbpVUzs94DbIMsIK6vhAGM4IZB7/Wk+n/emHWVg4s67rmxtbXnTpIO7AxiG4V1DW6vVBh70MkgikVA+n/cG6tvY2Dj2MoOuz5buDvjZOnBoqVRqu5bXvYa70WioVCq1/ZPa+ztomVtbWwNdH2xZlu+/sLkDWLrXX/e6lv2w9Q9j202SdDqt9fX1kV8n7jcwZzabVTqd9u6KY5qmqtWqisWiLMuKfOwAd1BHv3EuRu3SpUvHvnvQcfo7qvcNMA3ITf7ITcHITYPb2dlRo9FoG+sqlUrJtm2dP38+8Hlh7/+azWbf4zAOMu+wjFMW8nPY9gnqP8Mw+v5s9ruMMLIa7joTdQMw3lKplLa2trw/ZHp9kQcxDEPxeNy760qj0ej6wC8vL3uDEtfrda2trQ28nlwu1xU6XIlEQolEInDQ40EctsNw/xh0B6e7du1a23PcMJFMJvv+Mutcpl8f9tI5sKbLcZy+l9EPd2DUQQP2qLbdpMjlcrpw4cKRPif9ct9vOzs7vo+3buNSqeT7XnLvphTG4LaToFKpeIO8tnL/mHKn5/P5np/vo/b3KN43wLQjN3UjNwUjNx1N52t3iyiLi4u+8x91/2cYRuC26SxwDTIv2h22fdzBvv30W0DrdxlhZTXcRcEJPWWzWVUqFVUqFTWbzSMfFXBH7t/Y2PDdGaTTaZVKJRWLxcCdxWEO27HG4/G+K+DHucV86+2RV1ZWuu6C4R6FHORImRuwisWistnswHckCyoahKn1drDuTjXoNTabzba7p4S57cKUy+V63nY4yPr6+tCOjJRKJZ07d65rp9x5RPi43DtzdHI/G/2+B1OpVOQFJ9u2ZRhGX8FgmNs8lUr5zpPNZlWv1499S3V3HX79Par3DTDtyE2DIzeRm46bm9x1+n3ejrP/W15ebru7XKfWu/4NMm8UBslC0ui2ZT/bJ5FIdN25s1U/xbx+lzGKrDZ1or2iLzq7u7tOuVzueT1tsVj0/q2trU3F3Xz8BpNz7/bhd01tP2MROE77YG1B/WgYRl8DvwXxu6a78/HO63EzmYzveyDoWuugQSs7ra2tOYZhBA7O5w7E5yfo+m/32utRj0Hg0iFjEaRSqbZtFzSAqLus1m11lG13FOM4FoGrn7GWqtVq4PYPmn7UMZyC3rvuNeytn+N4PB74uS0WiyN5z/YaJyTKz00/3AGA+zVofx/lfQP4ITt1IzcdIDd1IzeFzx2rqfMz4Xf3Mcc5/v7PHS+tc31+0weZd1hOWhbqd/u4WbZzwG93XNF+Bsk/7jIGzWq4ayp7bWdnxykWi94dDfyUy+W2HeTu7u5YfeEOgzvwbCe/PzBdh+1MWwXdvcV13MHs4vG4dxt3v7ug+L02dyfQqlwue3dV6dRrML5W7pdar7tBxOPxri/ZcrkcGBzdL8RR32XFce4G36Dt534Jt36J7+7uOqZpdgUiv7uwHGXbHfX2vqMYtPEo3O0bFCAbjYZ32+O1tTVnbW3NyWQyXn8GBcvDlus4/n25u7vbFeJ3dnZ875Tjts1vJ36UO9UZhjHwdnL/qOn8/KytrfX1mY2Se6c5P37bZpD+Pur7BuhEdupGbjpAbupGbhoO9658rdbW1nyzxqD7v6D+cfu5VdD+c5B5DzPpWWjQ7eP3GuLxeGDR36/vBllGp15ZDb3FHCfki5FPEMuytLi46Hs99tLSkjY3N9sGYUwmk8rlckokEqNs5kik02lvrADTNJXNZr1TG23b1urqqjd4pXRwWqFlWd6plqlU6tBro93BHYNOX63VaiqXy0c+VTGbzXpjJhSLRe963Gaz2bNthUJBV65c8U63jsfjKpfL2trakmmaWl9fl2ma2tjYUKVS6fv1JpNJFYtF38uSXO7gvufOnZN0cLpnr4E/FxcXVS6XQxsc9DDutrcsyzt9O5VKaWFhQc1mU7Zta3t72+trv89S62tsNBpaWlrqeg8cZdstLS1pYWGhbfDqIO5Ayu57PJVKKZvNjsVnOZfLef1rWZY32OnCwkLbZ2FxcbHn6fE7Oztt74t+lysF96Vt28rlcm2DKa6vr/u+/yzL6hpTYXFx8UjjiiwtLXnjR/X6/LRyx7Oo1WqqVqs932/jolQqqVqtet8r8Xhc58+fb9s+Qdum3/4e9H0DHIbsdIDcRG7yQ24avlwu1zbmTtB+ftD9X6/+KRQKunbtmrdNeo0nNsi8vUx6FjpKPnFzk/t5WllZ8e3bXtuy32V0zt8rq6E3Ck4+ocm2bc3Pz2t3d7ftOld3kDDeYIhKr0EigUniBnWKIcB4ITvhJCE34SQjC2ESnJhBw1uPtPfacbgV3cXFRa/6PegRdrfa2jmommEYE33HB4w327aPPDAocNJsb2+33QYcwODITphm5CacdGQhTIKxLzi5l4VcuHBBtVqt56mclUpFly5dajuFuVarKZlM9nX6qKvXnTaOcxcOYBD1el2XLl3y/kjY2tpip4Op4d5NBcDgyE6YRuQmTBqyECbBqagbcJh8Pq9yuay1tbWeHzj3munNzc226YlEQs1m07sOfhCt1wcDo3bp0iXvemHbtrWwsMBOB1OB717geMhOmEbkJkwSvksxKcb+DKd+uQMV+u1YVlZWVCwW+x4sbWFhwXe6u/MCRmF9fV3SweCD0uCXNwAnValU4v0OjADZCZOE3IRJQhbCpJiYglO5XA4MNKZpql6v931aonsngGaz2TZ/s9lk0DaMzGFjbgCTioAFjAbZCZOE3IRJQhbCpBj7S+r6tb29HXjLSHd6r1svtjIMQ/F4vGt+y7KUTCaP11AAAIAxQHYCAADDNDFnOPVzBM6yrLajbL2ujV1fX1e5XPYG2nTn7TXwpiTdvn1bL7zwgs6ePatYLOZNn5mZ0czMTO8XAQAA+ra/v6/9/X3vd8dxdOPGDT388MM6dWpijqkNzThkJ3ITAACjEUVumpiCUy9umHLvkmJZliqVinf3lXQ6rQsXLiiTyXjzplIpb8DMhYUFXblyRZcvXz50XS+88AK3YAUAIEKNRiPwzB30Z1TZidwEAEC0hpmbpqLg1Mk0Ta2trR16bWzrQJmpVKqvZZ89e1aS9OlPf1oPPvigN50jdaOxt7enhx56SC+++KJmZ2ejbs5UYhtEi/6PFv0/Wp1H6l566SU9/vjj3r4Y4RlWdiI3RY/vrWjR/9Gi/6NF/49WFLlpKgpO7indo7hLins6+IMPPqi3v/3tQ18f/M3OzvKlFTG2QbTo/2jR/9FqvTQLRzOq7ERuGh98b0WL/o8W/R8t+j9aw8xNDHAAAAAAAACAUE1Mwck0zcA7qbjjDzCeAwAAwAGyEwAAGKaJKTjF4/HAO6e4Yar1LivD4o43wLgD0ZiZmdGHP/xh+j9CbINo0f/Rov+jxT54MOOQndhm0eN7K1r0f7To/2jR/9EaxT54YgpOyWQy8Chdo9HoeUveMBGcojUzM6OPfOQj9H+E2AbRov+jRf9Hi33wYMYhO7HNosf3VrTo/2jR/9Gi/6NFwWkAy8vLajabvsGpUqkom81G0CoAAIDxRHYCAADDdKIKTrZte2MKdDIMQ5ubm8rlcm3TK5WKTNPs69a8AAAAk4TsBAAAonIm6gYcplAo6MqVK7Isy/uXTCZlGIZWVlbawlAqlZJhGMrlclpcXPTGJahWqxG1HgAAYLTITgAAYBzEHMdx/v/s/Xt8G9d95/+/QVKiJNskSNlOHMeJNIxzv1gglTTpzbEAp0nb3dYGye5+293uNxER97vdtmlMmMl247TbyGC8t7a73wBy2v522+2KQJPtt5e0AaT0ljaNSMRtks3FBqTESR0nETikrAslkfP7g5whbgMC5IAggdfz8dBDxMzBzJkZYOaDz5w5p9WVaCeLi4vq7+/XwsKC+vr6Wl0dAAA6Btfg3YdjBgBAa2zHNXhXPVIHAAAAAACAnY+EEwAAAAAAADxFwgkAAAAAAACeIuEEAAAAAAAAT5FwAgAAAAAAgKdIOAEAAAAAAMBTJJwAAAAAAADgKRJOAAAAAAAA8BQJJwAAAAAAAHiKhBMAAGVM01QkEtHQ0JB8Pp+mp6drls9ms/L5fBoYGFAkElE2m1UikVAoFJLP59PQ0JAikYhTPpVKaXR0tOQ9xRKJhIaGhjQwMKDR0dEN6xqNRp26hkIhRaPRkjLF80dHR5XP5yu20X5fNBpVJBLR6OioIpGITNOsud2RSETRaFTT09PO+2u9BwAAtB9iJ2Knqix4amFhwZJkLSwstLoqAIAtSiaTVjgctgzDqFkuHo9bhmFYExMTFfMkWeFwuOr7DMOwgsFg1XnpdNqKxWJ11zUej1uSrLm5uarzc7lc1folk0lLkjU/P18xb2JiwvL7/VXnTU5OWuFwuGLe3NycFQgErHQ6XXfdvcI1ePfhmAFAeyF22j2x03Zcg2nhBABADZFIRPl8Xtls1rXM4OCg67xwOKxMJlN1XiAQUCaTqXpXK5/Pa3JysuH6+v3+qtMNw9DQ0FBDy4rFYs5dwGLT09NKpVJKJpMV6wsEAorFYgqFQsrn8w2tDwAA7H7ETsRONhJOAICGWZalS0s3dvw/y7K2vK2GYSgYDOrEiRNV56dSKYXDYdf3202r3QInSZqZmamYthOaVtsBUaFQcKbl83lFo1HFYjHX9wWDQYXD4Q2btAMA0Ak6KW6SiJ0kYidbT6srAADYfS5fW9Yt7/9Eq6uxoYu/+nbd1Lv1S539XH41xQFFNcFgUH6/X/F4XMFg0JmezWY1NTWlbDarZDKpiYkJZ14+n1cgENhyvbcqlUpJUkk/CXawVCtQlKTx8XGNjo4qk8k4251KpVQoFDQ4OKhCoaC5uTmNjo6W7BcAANpNp8VNErETsdMqWjgBALCBcDgsv9+vRCJRMj2fz2tkZGTD94+NjTkBiC2TySgQCDjNxovvyhUHGq1gmqYSiYSi0aiSyWRJXWZnZ12bnhczDEOSlE6nJa3uq3Q6rYmJCYXDYU1MTDTcTB0AAOwOxE7EThItnAAAm3Bgb7cu/urbW12NDR3Y2+3ZssbGxhSPx0vupmUymZLXbkZHR5VIJEqCITvwiEQimp6e1szMjLOsVjQJTyQSJcFQLpdTOBx2gh9bPp+v2e9COXtbstlsRb8E4XC47foqAACgXCfGTRKxk62TYycSTgCAhvl8Ps+aXO8WkUhEiURC+XzeCSTqDR7Km4Zns1nn7p5hGDIMwwnIWtUkfGJiouLuWzab1fDwcEmwaDfp3ohdxl5mMBjU8ePHNTQ0pHA4rFAopGAwWBGUAQDQbjoxbpKInYideKQOAIC6BAIBZxQRqfGm28VNw+0m4bZwOKxsNut0kLmZJuF2AOflHT672XpxPwSBQECmaW64HntkmlAoJGk1eDp37pyCwaBSqZRCoZCGhoZ2RAefAADAe8RO69M6NXYi4QQAQJ0ikYgzKoppmnU9j2+zO85MpVIV77ODkmojrtTLDsLcmllns9lN3RGz32MHQVNTU5I2ruupU6ecUWrs99t3KnO5nHK5nAzDcB3BBgAA7H7ETp0dO5FwAgCgTmNjYzJNU9PT0w0FTNJ60/BoNFrRWabdNDwWi226mbRhGAoEAk5Hk+VOnTq1qbt/drBkB2WBQECTk5OKRqOu70mlUs4IMrZ8Pl8yvLHdFN5ePgAAaD/ETp0dO5FwAgDART6fL7nr5ff7FQ6HK4bprdfY2JgkVe1nIBKJqFAobGmElWQyqZmZmZLgRFrt1PLo0aMNB3qpVEqZTMZpCm+LxWKamJhQKBSqaNadyWQUjUaVTqcrtrN8Ofl83mk2DgAAdj9iJ2KnYp3XcxkAABswTVPRaFQzMzMaHBxUMBhUPB6XtNosujgoSaVSSqfTyufzmpmZkd/v1/j4eNXAaHR01DVwCYfDyuVyW6q3YRg6d+6cE7TY7E4my7fxxIkTTt8Ix48fd+4QmqbpBIvpdLpqIBeLxZTNZnXixAkdPHjQmX7hwgXNzc1V3c7R0dGSO5ymaWpycnJL2wwAAFqP2InYqRqfZVlWqyvRThYXF9Xf36+FhQX19fW1ujoAAHQMrsG7D8cMAIDW2I5rMI/UAQAAAAAAwFMknAAAAAAAAOApEk4AAAAAAADwFAknAAAAAAAAeIqEEwAAAAAAADxFwgkAAAAAAACeIuEEAAAAAAAAT5FwAgAAAAAAgKdIOAEAAAAAAMBTJJwAAAAAAADgKRJOAAAAAAAA8BQJJwAAAAAAAHiKhBMAAAAAAAA8RcIJAIAypmkqEoloaGhIPp9P09PTNctns1n5fD4NDAwoEokom80qkUgoFArJ5/NpaGhIkUjEKZ9KpTQ6OlrynmKJREJDQ0MaGBjQ6OhoQ3UNhUKKRCKKRqOKRCLOa9M0Pd9GAAAAidip3m3sOBY8tbCwYEmyFhYWWl0VAMAWJZNJKxwOW4Zh1CwXj8ctwzCsiYmJinmSrHA4XPV9hmFYwWCw6rx0Om3FYrG66xqPxy1JVi6Xc63f3NxcxTwvtnGn4Bq8+3DMAKC9EDtVLmOnxk7bcQ2mhRMAADVEIhHl8/mad6UGBwdd54XDYWUymarzAoGAMplMxR00Scrn85qcnKy7nrXqMDExoWg0qmPHjlWdv9VtBAAAsBE7bbz8TkHCCQCwaZeWbrj+u3p9ue6yV7ZQ9vK16uW8YhiGgsGgTpw4UXV+KpVSOBx2fb/dJNstcJKkmZmZimnVAqmtmJiY0ODgoKLRaMW8rW4jAADYWCfETRKxk0TsZOtpdQUAALvXLe//hOu8d7zydv3Ru97kvH7Bo5/U5bKgx/aDxkF96mfe4rw+/KHT+u6la1XLjry4X5/9+R9wXr/mw3+ur81fqSi38viPblj/ekUiEdf+AAqFQs33BoNB+f1+xeNxBYNBZ3o2m9XU1JSy2aySyaQmJiacefl8XoFAwJvKl9VlenpasVisYt5WthEAAGysU+ImidiJ2GkVLZwAANhAOByW3+9XIpEomZ7P5zUyMrLh+8fGxpRKpUqmZTIZBQIBp9l48V25TCZTEmB5ZWhoSNJqvcttdRsBAABsxE7EThItnAAAW3DxV9/uOq+7y1fy+rlH73ct21VW9tz7qj8vX63sFx++V5ZVq5beGBsbUzweL7mblslkSl67GR0dVSKRKAmG/H6/pNW7Y9PT05qZmXGW5XWTcJu9znw+L8MwKuZvZRsBAEBtnRQ3ScROoIUTAGALburtcf23b0933WX3b6Hsgb3Vy3nNHs62+A5XvZ1BFjcNl1abhNt3vgzDkGEYzrxmNQmX1oOxagGTtLVtBAAAtXVS3CQRO4GEEwAAdQkEAgoEAs4z/I023S5uGm43CbeFw2Fls1mng8xmNAmXpFwuJ8k9aNrqNgIAANiInUDCCQCAOkUiEWdUFNM0nWbW9bA7lUylUhXvi0QikqqPuOKlTCaz4YgpW9lGAACAYsROnY2EEwAAdRobG5Npmpqenm44mLCbhkej0YqOJO2m4bFYzPUO2lalUinl83mdPHmyZrmtbCMAAEAxYqfORsIJAAAX+Xy+5Jl8v9+vcDhcMUxvvcbGxiSpaj8DkUhEhUJh082waw2/m0qlFI1GNTc3VxEIeb2NAACgcxE7ETsVY5Q6AADKmKapaDSqmZkZDQ4OKhgMOh1TTk1NKZPJOGVTqZTS6bTy+bxmZmbk9/s1Pj5eNTAaHR11vfMVDoedfgI2U1e7TpFIxFm3HQwZhlERMDVrGwEAQOchdiJ2qsZnWds1KGJnWFxcVH9/vxYWFtTX19fq6gAA0DG4Bu8+HDMAAFpjO67BPFIHAAAAAAAAT5FwAgAAAAAAgKdIOAEAAAAAAMBTJJwAAAAAAADgKUapqyGVSjlDJeZyuY7sVR4AAKAexE0AAKAYCScXiURCwWBQhmE400ZHR3Xy5EnXYRkBAAA6EXETAAAoxyN1LpLJZEnQJEmhUEizs7MtqhEAAMDORNwEAADKkXCqIRqNlryem5vTyMhIi2oDAACwcxE3AQCAYm31SJ1pmopGo/L7/YrFYq7lMpmM0um0hoaGZJqmJGlycrKkTCwW0/DwsDKZjJLJpDKZjEKhEM3CAQBAWyBuAgAAzdQWCadoNKp8Pq+jR48qk8koGAy6lk2lUjp16pSSyaQzzQ6K0um0My0QCGhubk7Dw8MaGhrSxMSE4vF4U7cDAACg2YibAADAdmiLR+pisZiSyaQmJydr3kkzTVPHjx/XyZMnS6YHg0EVCgUlEomSsvF4XHNzc5qYmFAikVAoFGrWJgAAAGwL4iYAALAd2iLhVK+ZmRkZhlE1uBofHy+5Ezc6OqpYLKZAIOAEULOzsxX9EwAAALQj4iYAALAVHZVwSiaTGhwcrDrPMAxls1mZpqlsNlsRYAUCAadPAgAAgHZH3AQAALaioxJOs7OzFUP22uzp+XzetXn5yMiI6/sBAADaCXETAADYio5KOJmmueFoKfl8XoZhKJ/PK5/Pl8xLJBKampqqa12Li4sl/5aWljZbbQAAUMXS0lLF9RbeIW4CAKB9tCJuaotR6rxgB1SFQkHSajPyEydO6ODBg5KkCxcuaHx8XIFAoK7l3XXXXSWvP/CBD+jRRx/1rL4AAHS6EydO6IMf/GCrq9GRiJsAANhdWhE3kXBy4ff7FYvFNv3+Z555Rn19fc7r3t5eL6oFAADWTE1N6T3veY/zenFxsSJxge1B3AQAwM7WiriJhNMa0zQlybVzzEb19fWVBE4AAMBbvb29JCZahLgJAIDdpRVxU0f14QQAAAAAAIDm66iEk92pZTV2HwSMpgIAAEDcBAAAtqajEk6BQMBpAl7ODqjq7dwSAACgnRE3AQCAreiohFMoFHK9U5fL5RQMBre5RgAAADsTcRMAANiKjko4jY2NqVAoVA2eUqmUIpFIC2oFAACw8xA3AQCArWi7hJNpmk6/AuX8fr9OnjypaDRaMj2VSskwDIXD4e2oIgAAwI5A3AQAAJqlp9UV8ML09LTOnj2rfD7v/AuFQvL7/RofHy8JiMLhsPx+v6LRqIaGhpy+CdLpdItqDwAAsH2ImwAAwHbwWZZltboS7WRxcVH9/f1aWFhQX19fq6sDAEDH4Bq8+3DMAABoje24BrfdI3UAAAAAAABoLRJOAAAAAAAA8BQJJwAAAAAAAHiKhBMAAAAAAAA8RcIJAAAAAAAAniLhBAAAAAAAAE+RcAIAAAAAAICnelpdgXb122e/rptu7lOXT/L5fOrySV1r/5e/7vL55HNer5WR1NXlKy2jtTJdZa+rTitf7nrZ1Wnlr2vX0Ve+DEm+tekAAAAAAADFSDg1yc/97y/K13ug1dVouuJklU9FSamustduibWy19USYFWTZrITclUSbV1V6lMl0VYrseZr5D0qXW+1ZGDJ60a2c8My1ZOB6/WpTEJWHpvG9k3Dx9PlWJGwBAAAAID21XDC6WMf+5gKhYLnFRkcHNQDDzzg+XJb5YdfdZu6992sFcvSiiVZa/+vFP1vOa/XykhaWbFKy2itzErZa/u9K5XTrLL1VK7fLlO6/s2wLGnZsrS8+sqjvYdO4fOVJ+gaTcZt0FJP663/KpOiRa0JayTaatenehnfJhOlFcnBerdzgyRktWRg7URpeX3qPzYb7Ztq+2F9Wnni1D2JTMISuwVxEwAA6FQ+y7IayhIcPXpUkUhEDb5tQ9PT03rqqac8XWYrLC4uqr+/XwsLC+rr62t1dRpilSWrLK0lqVaqJMDWkmAlr9fKbpwAq5zmXqbotUrrUq2Ozusadayd/KueDKxapqI+9ravJw4r9sVKeR0rk4Ge17EoYVlSR5eEZbX1V6/j1hOWwFZtlFhzS1hu1HrPbg1YK1m5URJtoyRgeR19LvPckqNVk3Zl9d5o32yUzKzr/V1VEpkl9fDgWGz0/rV98fzFi7p1cGBHXYOJm2rbzXETAAC72XZcgxtu4WRZlt71rnd5XpFYLOb5MtEYp1WGaDWAxpUnLKsl5coTlhVJuaoJsCrJx0224qtIpLU0qVqlzipNWJYnUaslLOtOPm62jqqdsKxM9NbZotOjhKW9fFpYQpKspcutrkIF4iYAANCpGk44jY+PN6MeikQiTVkugO1BwhJbUU/CslqrvfKEZXECbHnFchJmFYnDqi3/iqdt3OrQLXm2UWJvo1aY1bevMjnqlqQs/l9bqFu1pG31xGutfVqanKye7K2VoNz9LSmJmwAAQKdq+JE61EbTcAAAmsNO/FV7zHfFsmQuLOqlL7yVa/AuQtwEAEBr7MhH6gAAAFrB5/Op2yfJrSXltT3bWR0AAADU0FVPoSeeeEIPPfSQPvWpTznT3va2t6m7u1t33323Pv7xjzetggAAALsJcRMAAEAdLZw+/OEP68SJEzIMQ4lEQvF4XE8//bRyuZyOHz+uCxcu6J3vfKck6cd//MebXmEAAICdirgJAABg1YYJp1wup0Kh4Lx+97vfrYGBAT399NMl5R566CECJwAA0NGImwAAAFZt+Ejd8PBwyetYLKaRkZGKcoZheFcrAACAXYi4CQAAYNWGCSfTNPXkk0/q8ccflyT19/crGAxKks6fP6/z589Lki5cuNC8WgIAAOwCxE0AAACrfJZlWbUKLCws6Pjx4zp37pzOnj1bMu/+++/X3NycxsbGNDk5qcOHDze1srsBw/sCANAaO+EaTNzUmJ1wzAAA6ETbcQ3eMOFUy8LCgmZnZ3Xs2DEv67SrETgBANAaO/0aTNxUaacfMwAA2tV2XIM3fKSulv7+/oqg6fTp0xofH9fHPvaxkuknT56smAYAANApiJsAAEAn2VLCqdyZM2eUTqc1NzenU6dOlcw7fvy4Dh8+rDNnzni5SgAAgF2JuAkAALSzHi8Xlk6n9dhjj+mxxx6rOv/IkSN64okndN9993m5WgAAgF2HuGndz/z+P8jf36/9e7p1YG+39u/p0oE93dq/9u/A3m7t7+lam9ddOW9Pl/Z2d8nn87V6UwAAwBpPE071ME1zu1cJAACwK3VK3PS72W/K1zu/pWV0+VSWjKpMUK0mrrq1fy1JVTGvPNHlMq+3h+QWAAAb8TThND+/caCQy+W8XCUAAMCuRNy07t+FXi5r735dvr6sK9dXdOXasq7cWNbla8u6cn31nz3PnnZ5bfrK2vA3K5Z06dqyLl1bbnp9fT6tJq6qJLXW/16dt69aEqynu3oyrEoSbB/JLQDALuVpwml4eFgPPfSQpqendcstt1TMn5qakt/v93KVAAAAuxJx07pfvHdoUyPkWJal68uWk3wqT0Zdub7iMm9lfdqN5dUEV7V5xYmu68taXstuWZZ0eW3ehcvXvd4dFexEVGVrrfWE1/7ypFaNJFjVRFfP6uuuLpJbAABveJpwOn78uEZHR+X3+zU6OqrDhw/r4MGDyuVyymQykqSnnnrKy1UCAADsSsRNW+fz+bS3x6e9PV3y79/T9PVdX14panVVlswqaZHlnui6WpQQq5oEW5t3fdly1rs6b0VS85NbvT1dVZNRpYmqrrXHEsuSV2VJrYppRcvZv6db3SS3AKCted6HUzKZVCKR0COPPFLS70A4HNbJkye9Xh0AAMCuRdy0u+zp7lL//i71b0Ny68bySkni6kpFoqpsXtm0y9eXdbXGvOLp15ZXnPUu3VjR0o0VzV9pfnJrb3dX9VZXdlLLfqywxryqia4qCbKebk8H5wYA1MFnWZa1cbHNWVhYUKFQ0OHDh5u1ih1ncXFR/f39WlhY2FTTcAAAsDm7/RpM3LT7jlm7WF6xShNXN9aTURsmuuy/XeeV9ru1dGNl4wo1wZ5uX2Wrq5KWXKvT99WYV5Loqtbqa23eHpJbAHaB7bgGN3WUuv7+fvX39zdzFQAAAG2BuAmt0t3l0829Pbq5t/kDWK+sWLp6w70T+GrTyhNeFY8l3lip0sH88tpjiKuuL1u6vnxDi1dvNH0bu7t8FUmtqiMhVjxm6J7oOrCnp2rLrj3dPjqVB7BjNfWqsri4KEncsQIAANgAcRM6QVeXTwf29ujA3uYntyzL0tWqyahqia7q864WT7tR3u9W6Tz7uZHlFUsXl27o4lLTN1FdPlXpH6sycVXeuqt6Uqtasmv9ccW93YyYCKAxTTnTT01NKZFIOH0R+P1+ve9979Mv/uIvNmN1AAAAuxZxk/S2+N+qZ/9NVeedHHuDXnn76ih+v5v9huJ/+7WS+cU/f//Lj71W99y52krsY59/Vr/2V3nXdT72w6/W97x0QJL0iS89pw//ec617Afuf7l+cOhWSdKnnv6u/n36q65lJ+97md72itslSZ/52rx+6U+/7Fr2Z7/vsP7Ja14oSXrymwua/KP/41r2+Pe8VKNveJEk6cvfvqif/99fdC37k8Mv1k8Ov1iSdL5wWQ/9/j+4lg2//kV655teIkn61uJVvXPm713L/sirX6CH3nJIkmReua6f/N2sa9ljL79Vv/ADQ5KkK9eXNf7f51zLfu/hQUXve5mk1STRj/3WWdeyI3f59Uuhlzuvx//7bEkfVMVee0effuWHXqn9e7olSf/y9z6ni0vrLZyKPzsvu/UmxX7k1c7rSOrvdeHSNef1auf0Perf16O7/Pv1n/7pa515P/8HX9A3F65qZcXSsmVpeWXtn2Xplt49+tffe8hJUP322Wf07MWl9TJF7+ny+RR4cb+T1PrKd57XxaUbWl6RU/bGWlnbiiU9v7Ss55eWpUuuu80z3V0+9fh86u7yqbtLOjx4QDf39mj/nm5duHRN81euq6fLp26fT93d62V7unwav+dFuv2WXu3v6dbZZ0w9+Y+Lq2XX5jt/+3w68cOv1Iv9ByRJH//8s/rDLz7nWqdfCr1chw+ulv2TLz2n1D8861o2+taX6RW33yxJOvPUd/U/P/dN17I/9/2H9bo7Vm8AfPpcQb89+0zJ/OLPT+TNL9Xwi/2SpNlnTJ38u9LzVLGfHrlLbz40KEn6/LOL+m9/c9617E/c8yLn3POVbz+v/1LjnPbA6+5Q8OW3SVr93j9e45z2jlfdrne86gWSpH9cuKoTZ9wHqAjefZv+6WtXz1MXLl3TL9c4/33/4UGF185TF6/e0C/9mfv57413+fXPA6vnqaUby5r6E/ey97yoT/9i5C5Jq+eI9/6h+7ny1S+4xTmnSdL7/uRLJYMwFBs6eEDvXjunSdKjf/YVXb6+XLXsXf79+tnvW3/k/bEzT8m8Ur3F5Atu2euc/yTpP/5FTt8pOp9I65+fgf179PBbX+ZM/2+fPq9vLl6putyb9/Zo6tjdzuuP/t3XdX7+ctWye7u7Ss6V/2PuGT31ndKTxNKl56u+10ueJ5xGRkaUzWYVDodlGIYkaW5uTg8//LDS6bT+9E//1OtV7ki/M/uM9t98S8ldAJ+knm6f/q+1L5a0eqL7x8Wrq/N96+Ukqcvn008cudMp++lzBX1j4cpaGV/Fe37stS90OkScfcbU180rJctbL+vTD73yNvX2rF58/+EfF/W1tQ+qXd/i97z1Zbc6F+qvfPv5kg/1ernVv9780gGnOXb+wiWdL6x/Wcq3L/DifvXtW+108xnzis4XLlcpu/rHa194i9NB57cWr+r8vPu23X3bTc5INd+9tKSvVZRd38ZDgwecsuaV6/q6Xbasrj6fT3f273PKXrx6Y/1YlNXV55Nuv7nXKXvl+rL+ceGq67YNHtjjbNvSjWU9V3Q7rPx49O3rcfbZ9eUVfXftxFVt2w7s7XaOxfKKpfkrdtnKz05vT5dzp3Fl7a6c27b1dPm0b+3zYFmrfT5Uq6vPt/oZtvsxsMoCpPLvhiSGYgbQcYibVn3m66Z8vdeqznt+aT34/4Z5VX99ruC6nIWr6x1d/+PCVf1l3r3s/OX19X3r4pL+PHfBtezPPL9e9tvPL+lTNcraP4ok6buXrun0U991LfvA6+5Yr8+V68rUKHv/WhJLkhau3NAnv/od17JvPjTg/P380g392Vfcy77+jvUWdVeur+gTX/62a9nDgwecv5durOhPapS9/eZe5+/lFUt/9CX3hMGBvd0lr//w/7iXXSnrfvYP/89zuurSL9RC2eNzf/Kl53ThcvXO0N94l7/k9Z99+TtOLF3uNS+4peT1J7/yHX3529V/uB0a2K97X3ar8/qxM08r+42FqmVvv3mvfu8nh53X9/63T7t+hm/a261nfinkPFb40//rc/r0+fmqZSXpQ+94pdMa6+Off1b5QvUfqZJ0l3+flm6s9sdV/P2T1hJfsqS1yf/w7EXX5ZSbddnuan73c990Wl5dX17R4lL1JIAkLS5d10sHDmj/nm7NPmPW/G5876EBdfmk/Xu6dfaZef3mZ7/uWvbB173QSTh99TvP66N/5172/pff5iScchcu6eRn3Mu+5aWDTsLpa/NXKpLoxV5/R5+TcPrHxav6SI2yxsGbnITTcxeXaiaybrt5r5NwKly+pv/6afeyB/Z0Owmnxas39Ot/fc617PKK5SScLl9f1q/9lXvZnx65y0k4XV+29J//0j2ZNvaGF5WcW/9TjbI//KrbSxJO//kv867niHuHDpYknP7rp8/VPEcUJ5w+8jdfq3mOKE44PfF3X695jihOOP3W2a9rrsY5ojjh9D/mnql5jihOOP1e9pv607JrgbXkfh7wiqcJp0ceeUSGYej06dMVfRCYpqmJiQk98cQTete73uXlanek/+fjX5Cv90DF9Jv2dpcknB7/86crDrzN51NJwuk//2Vev/9594z9pRPv0FoOSb/+1+f0P+a+4Vr22x+830k4/b9/e77mie78+4/pJQOr23Ly776m//gX7l/wLz58r161dhH+7bPP6N9n3LPln/2579fI2sX9f2a/qak/+ZJr2T9/6C36gaGDkqTUPzyrf/O/v+Ba9o/f+Ua9fe0E+v998Tm9q8adupmfGnZOin/2lW/rn/2O+5263/6Je5wT3V/kL+if/OZnXcv+1wde59wB/Nvz8wrG/9a17PSPvFrvvXf1hPTkNxf15l//a9eyj97/Cv27+1dPHF/59vN6/X/4C9eyD9875Nyp+9r8Zb3sxBnXsj/zlkP6jQdeJ0n6zqVruuODn3Qt+9NH79Jvjt8jSbp0bVl97/+Ea9mxN7xI/+unVgMny5L2Rv/YtewPv+p2/eE73+S8vmnqj52+F4pbb/u0mgRNR97sTLvzlz9ZlHwrSmT5pKN3+fWX/8/3OtNeFTujZ8z1JG9xUu1Vt9+sz/zc9ztl3/Rf/kpf/c7za2XXE2o+n/TSgf2a+4UfdMreH/9bPfmPi06Z9eX7dOuBvfr8w/c6ZR/87bP6zNfnS+pr1+Omvd36cvQ+p+y/+l+fc34EFafjfD6ffD7p6aljzrSf/fjnnR8VpWVX///ce37QSR4/8sdf0h9+8Vsl84vr8hc/8xYNHNgrSfrVzFeV/Ptny8quL/uP3vkm3dG3T9Lqeep3s98oK7O+737vJ4edu5AnP/M1/dbZZyqWZ79OjL7BOZ/8z+w3lPjM+nmqfL/9p3/6Gr3hRavXnT/4wrf0G58+V1S2dNm/8kOv1Btfsvpj7JNf+XZJgFOeOH3k2Mv0fYdXzz1/lb/g3C2slpT+2e87rLeu/aiYfcbUY2t3C6sled/5ppc4Px6/+K2L+veZr7rus3925E798KtXz2m5717SBz/5lap19fmkH3vtHU5Q+M2FK/p3f/YV1332Q6+4TQ++fvX8991LS/q3nygqW/ad+8Ghgxq/Z/V6dPHqDb3vE19yrcObXjKgf7Z27Sq+Y1ntBsEbXtTntMKwLEuP/HHZcov22Stuu1n/8uh6sPnon31FN9aS2D7f2vKvVQ/8diripnW/88+P6MDNt1SdN3RwPZ76sde+UC+7tTK+sr26KBHwQ6+8XTM/Nexa1m4JJUn3Dt2q//WT7mXf9NL1BM6bXzqg3/vJgGvZN961XvbInX363f/LvezIi9fr8Krbb9b/+OdHXMseedF62aFbD+i//zP3ssVJpDv79+m3f+Ie17KveeH6Prv1pr36rXH3snbLEGn1JthHx97gWvZlt663WOvt6dITNcoeGig9ponR17uWvcu/v+T1bzzwupIbWsXsa5Pt8R99ja7eqJ64uK0oQSZJ//7tr9TzS9VbLwwcKB2l8N8G73Zt6XDLvtJk2sP3vkzfubR+c7E4f2Zfo20/+32HnfN0uZ4un/z79zg3OH/x3iGF56ufAy1L+vkfMJzXPzh0UE9/17051L/+3kPOTexPfOk5feFbF3V9eUXXly1dW1n9//qNFV1fsRR6+W1asSxdvr6suW+YOnfhylrZFV1bsZy/ry9belFfr26srN6Mfe7iksyr11fnrVi6fmN12cX74/Lao4sb+djnv7VhGdvxZPXWfj1dPu3p9mlPV9fq/91dev8nvqzH/zynA3u7tXRjRfe8qE893V3a2+1bK9+lPWv/P/XdS5p58h91YG+3nl+6oeNveomznOKyPd1duufO9e/ny2+7SY/e/wrX+h4tSoQeGjigD9y/nkAoH/rrzUXnqTv795UkG8r9gHHQ+fu2m3v1/uDdrmW/7/Cg83f//h6975h72Te9ZL2+B/Z065H7XuZaNlB0Dt7T7XNaOVbzuheWXh8evnfIpaT0yqLzlLT62b/hco4wBkvPPQ+95VDNFk7F3vU9L9G8S3LqBbeUnk9+avjF+vbz1Z+xHdi/t+T1T9xzp763aJ8Xu7nsUeQff90dev2Lqvf9uLe79Eb+j7z6hRq6tbQl8dKl53XyN6q+3TOeJpzy+bxmZmaqzvP7/ZqZmdFDDz3UEYHT215xm3r2rR5Q++NtWZbTMsR25MX9WrEka62UfeKo9pV4zQtvUeHytaLl2WVX/yhuHPKyW2/S9x4aKFlO8Umpp2t99IxDAwf0xrv8ZWXXX+0tGmnjzv59OnJnX0U97de9Petlb7+5V6994S0V9bRf7ysqO3hgj15x201Vtm2t7J71sn37emQcPLBeZu2P9bLr+/imvd16cf++qnUtL7uvp9s5OTjLLCpbvG17un0aXAs2qh2z4n3W3SXd0ttTeYzX/u8pOnA+3+p+cT3GZYOedHf5Kra/eeNObq/i7Sj5W6utsIpdu7FS1FS2cl6xWsHLpWul0y8u3ai4O2rr31cabM5fue4kvcqVDwb63UvX9Oxi9YvOTWV3eZ+7uN5Kr1x5NwrfWlyqGUAWe3bxqr7kcqdFkpaL6vyNhav6h2cXXcteL3qU4RsLV1zvykgqCfSfMa/oM19zvxtbfDyeMWu3VFgoCvSfMa/UbFHw89+/fpy+sXDVNekvrSZYbf+4eLXmXfcfW0v0SKutJWoFwMV3u5+7uKRTT/6ja9l77ux3Ek7fvXRNv5N1b/5/ePAmJ+E0f/m6fuuzz7iWHdy/x/khs3j1RklCr1yXz+cknC5fX655J/Snj95wEk713LFcTzip5iNNP/yq20sSTtOferrijmWfr/p3cKciblr3o695YV19V73i9ptLkh61vOzWm0qSHrUcPnjASYZv5CUDB5wbcRu5s3+/833YyAv79pXclKzl1pt6ne/ORgYO7C1pGVDLLft6Sr5ntezf061/9caXbFxQ0p7uLv3fdZb1+Xx615teWldZSXUvV1Ld2yap7v0ryWmlUY+xe6onkKpxSzZV82OvvWPjQmt+ZO2aUo+3v+oFzo3cjdT7+a3l+vJK3Z3HV0xb66/r6vWyvrnKRlC0/y9+zOrGiqUbK5auaP268q0GOuGqFR+UO3H6qZp9aNnz9u3p0u9mv6GPff5Zp5+u22/urdnB/NfnL+vA3m4N7N+jD4ReXtfTAy+4pVe/8kOvrKvugwf26t+/vb6yt+zr0Yfe8aq6yvb2dOtEnWV9Pl/J468bqbcOkvTLde4HSfq3QfeEXrmpGkm6cr9YI5lW7ue+39i40Jqf+d5DFdMWFxd1su4lbI7PKv8ltAWPPPKIHnvssZplPvzhD+vhhx/2apU7DsP7YicqT6BZZdN9a8/X29PsvhDKEz2S1O3zaW/P+mNydlKgtOzqi561jkHtsuaV667JtD1dXc6jhZL07YtLFfW0X+/t7tLBm9bvBjy7eFUrliXLqty2vd1demHRHc5nzCtaXrHLlu6XPd2+kh8R5wuXdW15xWXbukp+yOS+e0lXb6yUJJeK99mri+7MPPWd53Xp2nLVJK/P59ORojs+X/3O81q4cqNqUtqyLKdJtrTa6u3C5WuuSd63HBp0jvOXv31Rz11cck0ef9/hQec4f+m5i/rmwlXX4/EDxkHnruyXnruoc2vN9KslY3/QOKhb9vU4Zb+69ix5eV2l1WbOdiurL3/7or7w7EXXz89bh27V7WsJ469+53nNfWPBNRn71pcd1J39q3epnv7uJf3N+YLrd+OtL7tVh9bufuUvXNKnnr7geoPg3qGDevltqz+EzxcuO4+llNfV3md2M/1nzCv6+Frr1WqJ4+83Bp1m+s8uXtX/XEs4lddVWu0H5S1rn4nvPL+kj372667b9j0vHdCxu1eb3s9fvqbf+PR518/O0bv8TtLr+aUbmv7U067HInBnv/MjaenGsh795FddbxC8/o71Fk4rK5YeXuu/ptp349UvuEXHv2f9R+gv/n9f1PUVS9bad1+SfNcv6zd+4nt2zTWYuIm4CUDr3FheqUxcbZTUKktcXd0gqWVPd+tnrNl6e7pKk1ouHczvq9JZfM0O5iuW0+3EmNg9tuMavO0Jp9///d/Xgw8+WDLtzJkzuu+++1zesbsQOAEA0Bq77RpM3LT7jhkAbMbyilXa4upGZZJqo8SVM2LiBstZcumvqNn2dnetJ6NqJK72VZlXnLgqn1ZadnVeT3fXxhXChrbjGuzpI3WhUKhmXwNnzpzRwMBAxfR4PN42gRMAAEA9iJsAoDN0d/l0c2+PM6BPMy2vWKvJqSrJKPsxRffEld1ya6Wk/OVq77m+XPJo+7Xl1ZZcbt1ReGlPt69qUqs8SeW03OqpksDaW5QI2+M+bw/JrS3xtIXT2NiYTp8+LcMwNDhY2tFVoVBQPp/XyMhIxfRsNqvl5Y07hNsNuFMHAEBr7LZrMHHT7jtmAIB1KyuWrt6onoyyk1SV00rnXdkgqVU8rxV6unzrSSjXxNVqn1tuiauS/rlc5h3Yu/3JrV3XwimTycgwDA0MDFR0kjswMKDh4eGK6R7muwAAAHYN4iYAwG7WtdZf64G90sGNi2+JZVm6eqN6y6taSa3ixFVJh/Q3Kt9TPM++3N5YsXRx6YYuuoxa6aXuLl9pEsolObVvg8TV/j21k2MH9nRrT/f29LnlacLJMAzNzs42/L6xsTEvqwEAALDjETcBAFAfn8/ntBIarG+g0E2zLEtLN1ZcE1duSa3ixNUVl6RWtQ7p7QG4l1csPb+0rOeXmt+Kucsn7bfqH4lxszxNOMVisU29b2pqystqAAAA7HjETQAA7Dw+n0/71loSVfak6C17hPDqiSu7j63KeeWJq6s1RlS0y1y+tp7cWrG0LYktTxNO586d27DM+Pi4Tp06VTLtyJEjXlYDAABgxyNuAgCgs/l8PvX2dKu3p1v+/Xuaui7LsnR92XISUN8uzOue32jqKuVpr1Qb3an73Oc+p0wm4+UqAQAAdiXiJgAAsF18Pp/29nSpf/8e3dG3T4cHb2r6Oj1NOOVyOX30ox+tOm9qakrDw8MyTdPLVQIAAOxKxE0AAKCdeZpw6u/v10c+8hE9+eSTzrQzZ87o7rvvViKRUCwW0+HDh71cJQAAwK5E3AQAANqZpwmnM2fO6OzZs0qn03ryySf10EMPKRgM6siRI8rn83r44Yc1Nzfn5SoBAAB2JeImAADQznyWZVnNWPC73/1uJZNJJRIJPfjgg8708+fP69ChQ81Y5Y6wuLio/v5+LSwsqK+vr9XVAQCgY+zmazBx0+47ZgAA7GbbcQ32tIVTsY985CM6fvy4QqFQyfRoNNqsVQIAAOxKxE0AAKDd9Gz2jePj4xuWMU1Tw8PDCgaDkqRCocBoKwAAoOMQNwEAgE6z6YRTOp2WYRgaHBysWe7w4cPK5XLOa0ZbAQAAnYa4CQAAdJpNJ5wMw9Ds7GzD7xsbG9vsKltienpafr9f0mrQNzk52doKAQCAXYe4CQAAdJpNJ5xisdim3jc1NbXZVW67UCikWCymQCAgSRoaGpJhGAqHwy2uGQAA2E2ImwAAQKfZdKfhx44d29T7jhw5stlVbqtEIiHDMJygSVoNFgmaAABAo4ibAABAp2k44XTu3Dk98cQTWlxcbEZ9doxoNFoxUgxBEwAAaARxEwAA6FQNP1J3+PBhWZal++67TwcPHlQkEtEDDzzQjLo1zDRNRaNR+f3+mk3XM5mM0um0hoaGnM44i/sYME1TpmnK7/crkUhIknK5nCKRiAzDaOo2AACA9kHcRNwEAECn2lQfTsePH9fx48d17tw5xeNxTU5Oanh4WJFIRPfdd5/XddxQNBpVPp/X0aNHlclknOGEq0mlUjp16pSSyaQzLZPJKBQKKZ1OS5Ly+bwkKZvNOgGVaZo6fPiwzp0753SGCQAAsBHiJn/zNgYAAOxYm+7DSVq9a/fYY4/p6aef1iOPPKKZmRndfffdmpqa0vnz5z2q4sZisZiSyaQmJydrBjWmaer48eM6efJkyfRgMKhCoeDclSsUCpJUclfO7/drZGREJ06c8H4DAABA2yNuAgAAnWRLCadiR44c0Uc+8hE99dRTGhkZ0eTkpI4eParHH398x/RbMDMzI8MwqgZX4+PjisfjkqTBwUFJqmgG7vf7lc1mm15PAADQ3oibAABAu/Ms4VTswQcf1MzMjDKZjPr7+3XffffpbW97m5544olmrK5uyWTSCYrKGYahbDYr0zRLRlgBAABoJuImAADQjpqScLL19/fr+PHjmp2d1czMjObn5zUyMqLx8XGdOXOmmauuanZ21rXzSnu63Q9BIBBw/rYRVAEAgGYhbgIAAO2kqQmnYv39/Xr44Yc1OzurRx55RJ/85Cf1spe9TA899JCefPLJbamDPYJKLXawFIvFnKbi9vR8Pq+pqam61rW4uFjyb2lpadP1BgAAlZaWliqut+2CuIm4CQAAL7UibtrUKHVbdeTIER05ckSPPfaYTp8+rQ996EN63/vep3vuuacV1ZEkJ6CyO760R2yJRqM6ePCgcrmc0ul03SOt3HXXXSWvP/CBD+jRRx/1qroAAHS8EydO6IMf/GCrq9F0xE0AAGCrWhE3tSThVOzYsWM6duxYq6tRVTAYrDlUcC3PPPOM+vr6nNe9vb1eVQsAAEiamprSe97zHuf14uJiReKi3RA3AQCAzWhF3NTyhNNOYZqmJLl2jtmovr6+ksAJAAB4q7e3l8REixA3AQCwu7Qibtq2Ppxs7dS/AgAAQDMRNwEAgN1qW1o4nT59Wvl8XgcPHlR/f7/y+bx8Pp/e9a53bcfqHYZhVIygYrP7IHAbjQUAAGA7EDcBAIB20PSE0xNPPKFgMFjS34D99+OPP673vve9za6CIxAIOE3AyxUP6wsAANAKxE0AAKBdNPWRujNnzmh4eFiHDh2qOv+9732vHn/88WZWoUQoFHK9U5fL5Tbd0SUAAMBWETcBAIB20tSEUz6f15EjR2qWOXLkyLb1TzA2NqZCoVA1eEqlUopEIttSDwAAgHLETQAAoJ00NeFkWVbJ6/vvv18vf/nLS6aNjIxodnbWs3Wapun0K1DO7/fr5MmTikajJdNTqZQMw1A4HPasHgAAAI0gbgIAAO2kqX04+Xy+kteWZWllZaWiXHmA1ajp6WmdPXtW+Xze+RcKheT3+zU+Pl4SEIXDYfn9fkWjUQ0NDTl9E6TT6S3VAQAAYCuImwAAQDtpasKpPCCqFpycPn16y30ATE5ONlQ+GAzS7wAAANhRiJsAAEA7aeojdYZh6Mknn6xZJpfLqa+vr5nVAAAA2PGImwAAQDtpasLp2LFjOnv2rM6fP191/uOPP66HH364mVUAAADYFYibAABAO/FZW+0IoA6nT5/WuXPnNDg4KEm6cOGCfD6f3vWudzV71dtucXFR/f39WlhY4A4kAADbqF2uwcRNAACg2bbjGtzUPpxsx44dc/5eWFhQf3//dqwWAABg1yFuAgAA7aCpj9RVQ9AEAABQH+ImAACwW2064TQ1NbWp9z3++OObXSUAAMCuRNwEAAA6zaYTTtlsdlPvO3v27GZXCQAAsCsRNwEAgE6z6T6c0um0jh496nRoWY9CobDpgAsAAGC3Im4CAACdZkudhudyOeVyubrLm6Ypn8+3lVUCAADsSsRNAACgk2yphVM+n9fg4KAefPDBut93//33b3aVAAAAuxJxEwAA6DSbTjgdO3ZMx44d08LCgk6ePCmfz6dgMKhDhw7VfJ9hGJtdJQAAwK5E3AQAADqNz7Isy6u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rLut2IsjlcgROWySpaUHHdh27iYmJHRU42d+R8h8PGwWL9j6pN+E0NzfnBEGNCIfDzrGZnJx0/ZHTyHaUX3zdpjUqGAx2VOBU77GZnJys+uM1Fott+MO1fH3lxymdTlt+v78i+Kn2g9m+XhRr1mcB2E7ETXBD3OS9Rq5pjVyPym1X3NTKa2Unxk2NxDGNxubFGjm+dsK0XLXpnRY30YdTG7ObZNtNu6uZmZnZsDnq2NiYJLk21czn85JWmzZWk8lkGmp6nE6nXZsOG4axqcdHsD069diNjIxUfQRjcHBQkkqayW/FqVOnND4+3vD7BgcHNTk5qWQyqVgs5vp9rHc7TNPc8JET1KfeY5NKpTQ8PFwx3S5fT1P6bDarVCqlaDRasYz5+fmS724sFlMgEKg4zoFAQKZpOo8E8VlAOyFuwnbr1GPXyDWt3utRNc2Om7hWbq9G4hgvYvNGPnvxeFyBQKBiGfa0Tv4skHBqY+FwWH6/v+5n/934/X4Fg0FlMpmqX85cLqeJiQmZpuk8514sm81W/QLWUivYs/tNwM7UiccuEAhofn6+IiDJZDIyDKPhz38109PTmpqa2vJyaql3O/x+v9Pngs0teIQ3DMNQoVComG4HLdXmlTtx4oT8fn9dfYHk83knKCuvh7T6I8leP58FtAviJrRCJx67Rq5p9V6Pym1H3MS1cns1Esd4EZs38tmzl1uN3+/v6M8CCac2NzY2plQqVTXgyWazdd9BGx0dlbR6Z6+YaZoaGhpy5p86dWprFV5bVzabVSQSqVrviYkJ5wudzWY1PDysgYGBki+q2/RMJuNMj0ajymazmp6eVigUUiqVUiKR0PDwsHw+n1Om+L0DAwPy+XwlAYBpmopEIpqenlY0GnXqb6u1zFQqJZ/PV7HMnWh6etr5F41Gq96ZbeTY2UKh0I7f9s1IpVIqFAqedOKYzWZlGMaW74hks1klEomqP3DcuG1HLBZTLBZTJBJxWgV42eGh/d20P2/ld7PazUbHJp1Oa35+vur7JOno0aMbrsPuNNY0zQ2/yxuZnZ11/m72ZwHYTsRNxE1eIW5y58U1zVZ8PSpeTqviJre6ETdt3VbjGC9jc6n0+Lolp6TVVlUdHTe1+pk+NIfdL4D9/He1fgSKp9Xqi8Cy1jtNLC8Tj8ed51r9fn/F86zpdLqiI9p6BINBp5M+wzCsiYmJmv3cBAKBqs+mu3WSaC/T7iPBMIyS55/LX9smJydL9lsul7P8fn/JNlabZi+z2j4uX2azaRN9EVTr0HJyctK1Y8dGjp1hGA13xrnT+iKw5XI555n/YDDo2mFscXnV0YdTcT8fdv8GjSjvgyCdTluBQKBm31KNbIeXgsGg5ff7K/ZJPB7fkcd8qxo9NuXs/VXPMbLP4eV9w1TrD8EwjKr7ezs60AVagbhpfTnETaWIm7ZPtWvaZq5H2xU37YRrZSfFTY3EMbatxLT1Hl/7tVsdAoFAR8dNJJzaVPGJ1i2oKD4xbRQ4Wdb6BbH4i1q8HnsUiOKAoZFOL8vZJ0r7IiypakBiWasnmmrb6Da9/IJWfvJxuziVd/Dp1lGffVLbzDKbrdHAaWJiwvWzUe0CZ1mNHbvNaDRwmpycdAK0Rv41Mnpcsfn5eSsWi1Ud+atYPQmnWCxW8vncTOBULTC361dLvdvhpVoj6RiGUff3ZbuP+WZt9thY1nrHw/XU2Q6GVKWjTPtzWNyxptvnLJlMknBCWyJuqj2duIm4qdnXULdrWqPXo+2Mm3bCtbJT4qZG45hq7280pq33+JJwqo2EU5sqPrnYPewXfznLTw71BE7lo67Mz8+XnJCrjbqylcCpWDqdtiYnJ50TTXmg43YhdZu+0fCw9omjePvsE1V5mWrbaA+Z3Ogyt0OjgZPbnV7LWg0QNzqBbnTsNmO33Kmzf0xsdpS6ubm5ugOvRtmjZjQypPB2jHIUDAZdz0UTExMbjkjTDuo9Nn6/v6G7/LWCX1UZijoQCFQs3x6ZZTd8/4BGEDfVnk7cRNzUbLWuafVej1oRN7X6WtlJcVOjcUw1jca09R7fWgmnzbRKbCf04dQB7GdCY7GYM62eDmbLlY+6MjMz40yTVkcI8Pv9znO0mUzGk86S7WXHYjGnw7UTJ05seZluz9lK6x1+FnccmkgkSp6vtZ/FzeVySiQSJf+k0v3ttsyZmZmGntnN5/NV/3nN7sDSfma91jPJG62/Gcdut7D76Njsc/SnTp1q2gg1G3W2WWyr2+EVu6NFr0b926qhoSENDAzU/W9oaKiu72s9x2Z0dFRTU1MNP/Pv1p+F3++vqNvc3JxyuVxJPyThcFimaWpkZKSh9QK7CXFTdcRN7oibtmaja1q916NWxE07+VrZjnFTI3FMNY3GtF4c30Kh0HEj0xXraXUFsD3C4bBmZmYUj8eVz+c3dQL0+/0KBALOqCu5XK7iyzM2NuZ0rpfNZjU5OdnweqLRaEXQYQsGgwoGg5vuvK/YRl/8SCSi0dFRp4O6CxculLzHDiZCoVDdF7fyZVbbh7WUd6xpsyyr7mXUw+4YtdEAe7uO3U4zPDyswcHBiiDE/oxsZptTqZTTkWgxO2C3p8disZqfIfvzNjc3V3V+8TFuxna0s1wut6X3N3JsikWjUR09erTh86vd0WY1btPLv892uaGhoYbWDew2xE2ViJvcETdtXr3XtI2uR62Im+qtG1ZtNW5qJI7xMqat5/j6/X7X7/9OSD62EgmnDhGJRJRKpZze+TfbE77dm/6JEyeqnkRHR0eVSCQUj8c3fZLd6AQQCATqvju1mTuStuLhkcfHxytGzLDvQjZyp8wOsOLxuCKRSEOjcEhyvfh5qXhYT/vk6LaNhUKhZPQUL4+dl6LRaM1hh91MTU3VFRTbo6GUsz9/m7ljHQ6Hq647Eokom83WPWz3RnUr/gw2Yzu8ZJqm/H5/XT82mn3MvdDIsbElEgkdPHiwIjAvb0lQTTAYrBgxq1g9wZC9T9t6NBVAxE2bQdxE3NToNXQr17Ty61Er4qZ669Yq7RY3NRLHNDOmrXZ8x8bGqo6YaNvtI0tuSauf6WuV+fl5K5lM1nyeMh6PO/8mJye3daSmrarWQZw92ke156Pr6YvAsko7bHPbH36/f8OO22qp9qxs+fzy56cnJiaqHku3Z2bdOq0sNzk5afn9ftcO9+wO9qpxe47Xfp56u/sgsGmDvgjC4XDJsXPrQNReVvGx2syx24yd1heB26gXdh8Mbttc7yh1xexnz+vl9tm1+zQorvdmt8NLtfoJaeX3phkaOTaWtdqvh9v217Nf7M9beb8Fdr8UxZ1o2v0TlNeh2ugw6BztHDsRN60ibqpE3NQc9V7Ttno9ambctBOulZ0UNzUSx3gR0zZyfO0++arFbrXO/52gIxNOc3NzVjwed3qYryaZTJZcWOfn53fcidpNLperGgS5/YixrMY6RHQbvcW21Q7qAoGAMxxptVFQqm2b/WUulkwmnVFVytXqYK+YfWKrNcJDIBCoOOkkk0nXwNE+KW73KCuWtR74uh2/ah3pzc/PW4ZhVARE1UZh2cyx2+zwvjup871cLmeFw+GSbbY/O24BtGWtfxYa6fg5HA67nreq7cv5+fmKOszNzVUdKWez2+HG7/c3fJzsHzXl35/Jycm6vrO7SaPHxh4ue3Jy0pqcnLQmJiac72F5ebfvVbX9GAgEKs5H1YZTdhvSG52hnWMn4qZVxE2ViJuao5Fr2lavR82Mm7y+VhI3bazeOKbRmLbaZ6HR42t/l4tVi9E6jc+yPH6IeRfJ5/MaGhqq+hz38PCwTp48WdLcLhQKKRqNKhgMbmc1GzI6Our0FWAYhiKRiNNM1TRNHT9+3Om8UlptZprP552mgeFweMPnqO3OHd2aiWYyGSWTybqbrpaLRCJOnwnxeNx5TrZQKNSs2/T0tM6ePes0dQ0EAkomk5qZmZFhGJqampJhGDpx4oRSqVTd2xsKhRSPx6s2y7TZHc8dPHhQ0mqTz1pNNYeGhpRMJrftESX72Ofzeaf5djgc1uDgoAqFgkzT1OzsrLOvq30nircxl8tpeHi44jOwmWPn9ox1Nfl83mnya5qmwuGwIpHIjvhOmqapaDTqdNCYz+cViUSqNjOORqPOscjn807HqIODg67fm0QioXQ67Xx2A4GARkZGSsq77cviutlN86empqp+/hrZjo0MDw87/SDU+v4Us/uzyGQySqfTNT9v7aDeY7NRh+Nzc3Ml76n1vbI/S/b3f3x83PVzWtwnQrseAzSm3WIn4ibipmqIm5qr0WvaZq5H2xU3eXmtJG6qT71xTCMxrdtnodHjOz09rQsXLjjHoZE+69oVCacqQZNpmhoYGND8/HzJM692Z3ObDQgAW61OIoF2Ygfqre7/CYA3iJ3QCsRN6BTETWg3u6bT8OIMZa0Ljp3dHRoacrKRjY74YWeyyztY8/v9bT9SBJrPNE1GrUDHmJ2dLRkGHMD2IXZCOyBuQichbkK72fEJJ/vRk6NHjyqTydRsAppKpXTq1KmSps+ZTEahUKiuZqe2WiN0bGX0DnSmbDarU6dOOcH+zMwMFxJ0DHuEFADbh9gJuxlxEzoZcRPaTVerK7CRWCymZDKpycnJml8++1nrkydPlkwPBoMqFArO8/ONKH5eE9isU6dOOc+Pm6apwcFBLiToCJxDgdYgdsJuRtyETsX5E+1ox7dwqpfdwWG1C9L4+Lji8XjdHacNDg5WnW5f9IBGTE1NSVrtRE5q/DEFYLdKJBJ83oEdjNgJOxFxEzoVcRPaUdsknJLJpGtAYxiGstls3U0U7VEBCoVCSflCoUAHbmjYRn1nAO2KoAnY2YidsBMRN6FTETehHe34R+rqNTs76zp8pD291vCbxfx+vwKBQEX5fD6vUCi0tYoCAADsAMROAACgmdqmhVM9d+Dy+XzJXbZaz8lOTU0pmUw6HW3aZWt1vClJKysrOn/+vPbs2SOfz+dM7+3tVW9vb+2NAAAAdVtaWtLS0pLz2rIsXb9+XYcOHVJXV9vcU2uanRA7ETcBALA9WhE3tU3CqRY7mLJHScnn80qlUs7oK6Ojozp69KgmJiacsuFw2Okwc3BwUGfPntXp06c3XNf58+cZuhUAgBbK5XKuLXdQn+2KnYibAABorWbGTR2RcCpnGIYmJyc3fE62uKPMcDhc17L37NkjSfrsZz+rO+64w5nOnbrtsbi4qLvuukvPPPOM+vr6Wl2djsQxaC32f2ux/7dX+Z26Z599Vm984xudazG806zYibip9ThvtRb7v7XY/63F/t9erYibOiLhZDfp3o5RUuzm4HfccYde/OIXN319qK6vr4+TVotxDFqL/d9a7P/WKn40C5uzXbETcdPOwXmrtdj/rcX+by32f2s1M26igwMAAAAAAAB4qm0SToZhuI6kYvc/QH8OAAAAq4idAABAM7VNwikQCLiOnGIHU8WjrDSL3d8A/Q60Rm9vrz7wgQ+w/1uIY9Ba7P/WYv+3FtfgxuyE2Ilj1nqct1qL/d9a7P/WYv+31nZcg9sm4RQKhVzv0uVyuZpD8nqJwKm1ent79eijj7L/W4hj0Frs/9Zi/7cW1+DG7ITYiWPWepy3Wov931rs/9Zi/7cWCacGjI2NqVAoVA2cUqmUIpFIC2oFAACwMxE7AQCAZtpVCSfTNJ0+Bcr5/X6dPHlS0Wi0ZHoqlZJhGHUNzQsAANBOiJ0AAECr9LS6AhuZnp7W2bNnlc/nnX+hUEh+v1/j4+MlwVA4HJbf71c0GtXQ0JDTL0E6nW5R7QEAALYXsRMAANgJfJZlWa2uRDtZXFxUf3+/FhYW1NfX1+rqAADQMbgG7z4cMwAAWmM7rsG76pE6AAAAAAAA7HwknAAAAAAAAOApEk4AAAAAAADwFAknAAAAAAAAeIqEEwAAAAAAADxFwgkAAAAAAACeIuEEAAAAAAAAT5FwAgAAAAAAgKdIOAEAUMY0TUUiEQ0NDcnn82l6erpm+Ww2K5/Pp4GBAUUiEWWzWSUSCYVCIfl8Pg0NDSkSiTjlU6mURkdHS95TLJFIaGhoSAMDAxodHd2wrtFo1KlrKBRSNBotKVM8f3R0VPl8vmIb7fdFo1FFIhGNjo4qEonINM2a2x2JRBSNRjU9Pe28v9Z7AABA+yF2InaqyoKnFhYWLEnWwsJCq6sCANiiZDJphcNhyzCMmuXi8bhlGIY1MTFRMU+SFQ6Hq77PMAwrGAxWnZdOp61YLFZ3XePxuCXJmpubqzo/l8tVrV8ymbQkWfPz8xXzJiYmLL/fX3Xe5OSkFQ6HK+bNzc1ZgUDASqfTddfdK1yDdx+OGQC0F2Kn3RM7bcc1mBZOAADUEIlElM/nlc1mXcsMDg66zguHw8pkMlXnBQIBZTKZqne18vm8JicnG66v3++vOt0wDA0NDTW0rFgs5twFLDY9Pa1UKqVkMlmxvkAgoFgsplAopHw+39D6AADA7kfsROxkI+EEAGiYZVm6tHRjx/+zLGvL22oYhoLBoE6cOFF1fiqVUjgcdn2/3bTaLXCSpJmZmYppO6FptR0QFQoFZ1o+n1c0GlUsFnN9XzAYVDgc3rBJOwAAnaCT4iaJ2EkidrL1tLoCAIDd5/K1Zd3y/k+0uhobuvirb9dNvVu/1NnP5VdTHFBUEwwG5ff7FY/HFQwGnenZbFZTU1PKZrNKJpOamJhw5uXzeQUCgS3Xe6tSqZQklfSTYAdLtQJFSRofH9fo6KgymYyz3alUSoVCQYODgyoUCpqbm9Po6GjJfgEAoN10WtwkETsRO62ihRMAABsIh8Py+/1KJBIl0/P5vEZGRjZ8/9jYmBOA2DKZjAKBgNNsvPiuXHGg0QqmaSqRSCgajSqZTJbUZXZ21rXpeTHDMCRJ6XRa0uq+SqfTmpiYUDgc1sTERMPN1AEAwO5A7ETsJNHCCQCwCQf2duvir7691dXY0IG93Z4ta2xsTPF4vORuWiaTKXntZnR0VIlEoiQYsgOPSCSi6elpzczMOMtqRZPwRCJREgzlcjmFw2En+LHl8/ma/S6Us7clm81W9EsQDofbrq8CAADKdWLcJBE72To5diLhBABomM/n86zJ9W4RiUSUSCSUz+edQKLe4KG8aXg2m3Xu7hmGIcMwnICsVU3CJyYmKu6+ZbNZDQ8PlwSLdpPujdhl7GUGg0EdP35cQ0NDCofDCoVCCgaDFUEZAADtphPjJonYidiJR+oAAKhLIBBwRhGRGm+6Xdw03G4SbguHw8pms04HmZtpEm4HcF7e4bObrRf3QxAIBGSa5obrsUemCYVCklaDp3PnzikYDCqVSikUCmloaGhHdPAJAAC8R+y0Pq1TYycSTgAA1CkSiTijopimWdfz+Da748xUKlXxPjsoqTbiSr3sIMytmXU2m93UHTH7PXYQNDU1JWnjup46dcoZpcZ+v32nMpfLKZfLyTAM1xFsAADA7kfs1NmxEwknAADqNDY2JtM0NT093VDAJK03DY9GoxWdZdpNw2Ox2KabSRuGoUAg4HQ0We7UqVObuvtnB0t2UBYIBDQ5OaloNOr6nlQq5YwgY8vn8yXDG9tN4e3lAwCA9kPs1NmxEwknAABc5PP5krtefr9f4XC4Ypjeeo2NjUlS1X4GIpGICoXClkZYSSaTmpmZKQlOpNVOLY8ePdpwoJdKpZTJZJym8LZYLKaJiQmFQqGKZt2ZTEbRaFTpdLpiO8uXk8/nnWbjAABg9yN2InYq1nk9lwEAsAHTNBWNRjUzM6PBwUEFg0HF43FJq82ii4OSVCqldDqtfD6vmZkZ+f1+jY+PVw2MRkdHXQOXcDisXC63pXobhqFz5845QYvN7mSyfBtPnDjh9I1w/Phx5w6haZpOsJhOp6sGcrFYTNlsVidOnNDBgwed6RcuXNDc3FzV7RwdHS25w2mapiYnJ7e0zQAAoPWInYidqvFZlmW1uhLtZHFxUf39/VpYWFBfX1+rqwMAQMfgGrz7cMwAAGiN7bgG80gdAAAAAAAAPEXCCQAAAAAAAJ4i4QQAAAAAAABPkXACAAAAAACAp0g4AQAAAAAAwFMknAAAAAAAAOApEk4AAAAAAADwFAknAAAAAAAAeIqEEwAAAAAAADxFwgkAAAAAAACeIuEEAAAAAAAAT5FwAgAAAAAAgKdIOAEAAAAAAMBTJJwAAChjmqYikYiGhobk8/k0PT1ds3w2m5XP59PAwIAikYiy2awSiYRCoZB8Pp+GhoYUiUSc8qlUSqOjoyXvKZZIJDQ0NKSBgQGNjo42VNdQKKRIJKJoNKpIJOK8Nk3T820EAACQiJ3q3caOY8FTCwsLliRrYWGh1VUBAGxRMpm0wuGwZRhGzXLxeNwyDMOamJiomCfJCofDVd9nGIYVDAarzkun01YsFqu7rvF43JJk5XI51/rNzc1VzPNiG3cKrsG7D8cMANoLsVPlMnZq7LQd12BaOAEAUEMkElE+n695V2pwcNB1XjgcViaTqTovEAgok8lU3EGTpHw+r8nJybrrWasOExMTikajOnbsWNX5W91GAAAAG7HTxsvvFCScAACbdmnphuu/q9eX6y57ZQtlL1+rXs4rhmEoGAzqxIkTVeenUimFw2HX99tNst0CJ0mamZmpmFYtkNqKiYkJDQ4OKhqNVszb6jYCAICNdULcJBE7ScROtp5WVwAAsHvd8v5PuM57xytv1x+9603O6xc8+kldLgt6bD9oHNSnfuYtzuvDHzqt7166VrXsyIv79dmf/wHn9Ws+/Of62vyVinIrj//ohvWvVyQSce0PoFAo1HxvMBiU3+9XPB5XMBh0pmezWU1NTSmbzSqZTGpiYsKZl8/nFQgEvKl8WV2mp6cVi8Uq5m1lGwEAwMY6JW6SiJ2InVbRwgkAgA2Ew2H5/X4lEomS6fl8XiMjIxu+f2xsTKlUqmRaJpNRIBBwmo0X35XLZDIlAZZXhoaGJK3Wu9xWtxEAAMBG7ETsJNHCCQCwBRd/9e2u87q7fCWvn3v0fteyXWVlz72v+vPy1cp+8eF7ZVm1aumNsbExxePxkrtpmUym5LWb0dFRJRKJkmDI7/dLWr07Nj09rZmZGWdZXjcJt9nrzOfzMgyjYv5WthEAANTWSXGTROwEWjgBALbgpt4e13/79nTXXXb/Fsoe2Fu9nNfs4WyL73DV2xlkcdNwabVJuH3nyzAMGYbhzGtWk3BpPRirFjBJW9tGAABQWyfFTRKxE0g4AQBQl0AgoEAg4DzD32jT7eKm4XaTcFs4HFY2m3U6yGxGk3BJyuVyktyDpq1uIwAAgI3YCSScAACoUyQScUZFMU3TaWZdD7tTyVQqVfG+SCQiqfqIK17KZDIbjpiylW0EAAAoRuzU2Ug4AQBQp7GxMZmmqenp6YaDCbtpeDQarehI0m4aHovFXO+gbVUqlVI+n9fJkydrltvKNgIAABQjdupsJJwAAHCRz+dLnsn3+/0Kh8MVw/TWa2xsTJKq9jMQiURUKBQ23Qy71vC7qVRK0WhUc3NzFYGQ19sIAAA6F7ETsVMxRqkDAKCMaZqKRqOamZnR4OCggsGg0zHl1NSUMpmMUzaVSimdTiufz2tmZkZ+v1/j4+NVA6PR0VHXO1/hcNjpJ2AzdbXrFIlEnHXbwZBhGBUBU7O2EQAAdB5iJ2KnanyWtV2DInaGxcVF9ff3a2FhQX19fa2uDgAAHYNr8O7DMQMAoDW24xrMI3UAAAAAAADwFAknAAAAAAAAeIqEEwAAAAAAADxFwgkAAAAAAACeYpS6GlKplDNUYi6X68he5QEAAOpB3AQAAIqRcHKRSCQUDAZlGIYzbXR0VCdPnnQdlhEAAKATETcBAIByPFLnIplMlgRNkhQKhTQ7O9uiGgEAAOxMxE0AAKAcCacaotFoyeu5uTmNjIy0qDYAAAA7F3ETAAAo1laP1JmmqWg0Kr/fr1gs5louk8konU5raGhIpmlKkiYnJ0vKxGIxDQ8PK5PJKJlMKpPJKBQK0SwcAAC0BeImAADQTG2RcIpGo8rn8zp69KgymYyCwaBr2VQqpVOnTimZTDrT7KAonU470wKBgObm5jQ8PKyhoSFNTEwoHo83dTsAAACajbgJAABsh7Z4pC4WiymZTGpycrLmnTTTNHX8+HGdPHmyZHowGFShUFAikSgpG4/HNTc3p4mJCSUSCYVCoWZtAgAAwLYgbgIAANuhLRJO9ZqZmZFhGFWDq/Hx8ZI7caOjo4rFYgoEAk4ANTs7W9E/AQAAQDsibgIAAFvRUQmnZDKpwcHBqvMMw1A2m5VpmspmsxUBViAQcPokAAAAaHfETQAAYCs6KuE0OztbMWSvzZ6ez+ddm5ePjIy4vh8AAKCdEDcBAICt6KiEk2maG46Wks/nZRiG8vm88vl8ybxEIqGpqam61rW4uFjyb2lpabPVBgAAVSwtLVVcb+Ed4iYAANpHK+Kmthilzgt2QFUoFCStNiM/ceKEDh48KEm6cOGCxsfHFQgE6lreXXfdVfL6Ax/4gB599FHP6gsAQKc7ceKEPvjBD7a6Gh2JuAkAgN2lFXETCScXfr9fsVhs0+9/5pln1NfX57zu7e31oloAAGDN1NSU3vOe9zivFxcXKxIX2B7ETQAA7GytiJtIOK0xTVOSXDvHbFRfX19J4AQAALzV29tLYqJFiJsAANhdWhE3dVQfTgAAAAAAAGi+jko42Z1aVmP3QcBoKgAAAMRNAABgazoq4RQIBJwm4OXsgKrezi0BAADaGXETAADYio5KOIVCIdc7dblcTsFgcJtrBAAAsDMRNwEAgK3oqITT2NiYCoVC1eAplUopEom0oFYAAAA7D3ETAADYirZLOJmm6fQrUM7v9+vkyZOKRqMl01OplAzDUDgc3o4qAgAA7AjETQAAoFl6Wl0BL0xPT+vs2bPK5/POv1AoJL/fr/Hx8ZKAKBwOy+/3KxqNamhoyOmbIJ1Ot6j2AAAA24e4CQAAbAefZVlWqyvRThYXF9Xf36+FhQX19fW1ujoAAHQMrsG7D8cMAIDW2I5rcNs9UgcAAAAAAIDWIuEEAAAAAAAAT5FwAgAAAAAAgKdIOAEAAAAAAMBTJJwAAAAAAADgKRJOAAAAAAAA8BQJJwAAAAAAAHiKhBMAAAAAAAA8RcIJAAAAAAAAniLhBAAAAAAAAE/1NPqGj33sYyoUCp5XZHBwUA888IDnywUAAGgV4iYAANCpGm7hdOLECUmSZVme/otGo55vHAAAQCsRNwEAgE7VcAsny7L0rne9y/OKxGIxz5cJAADQSsRNAACgUzXcwml8fLwZ9VAkEmnKcgEAAFqFuAkAAHQqn2VZVqsr0U4WFxfV39+vhYUF9fX1tbo6AAB0DK7Buw/HDACA1tiOazCj1AEAAAAAAMBTdSWcnnjiCT300EP61Kc+5Ux729vepu7ubt199936+Mc/3rQKAgAA7CbETQAAAHV0Gv7hD39YJ06ckGEYSiQSisfjevrpp5XL5XT8+HFduHBB73znOyVJP/7jP970CgMAAOxUxE0AAACrNkw45XI5FQoF5/W73/1uDQwM6Omnny4p99BDDxE4AQCAjkbcBAAAsGrDR+qGh4dLXsdiMY2MjFSUMwzDu1oBAADsQsRNAAAAqzZMOJmmqSeffFKPP/64JKm/v1/BYFCSdP78eZ0/f16SdOHChebVEgAAYBcgbgIAAFjlsyzLqlVgYWFBx48f17lz53T27NmSeffff7/m5uY0NjamyclJHT58uKmV3Q0Y3hcAgNbYCddg4qbG7IRjBgBAJ9qOa/CGCadaFhYWNDs7q2PHjnlZp12NwAkAgNbY6ddg4qZKO/2YAQDQrrbjGrzhI3W19Pf3VwRNp0+f1vj4uD72sY+VTD958mTFNAAAgE5B3AQAADrJlhJO5c6cOaN0Oq25uTmdOnWqZN7x48d1+PBhnTlzxstVAgAA7ErETQAAoJ15mnBKp9N67LHH9PTTT1cETpJ05MgR5fN5L1cJAACwKxE3AQCAduZpwqkepmlu9yoBAAB2JeImAACwW3macJqfn9+wTC6X83KVAAAAuxJxEwAAaGeeJpyGh4f10EMP6eLFi1XnT01Nye/3e7lKAACAXYm4CQAAtLMeLxd2/PhxjY6Oyu/3a3R0VIcPH9bBgweVy+WUyWQkSU899ZSXqwQAANiViJsAAEA78zThJEnJZFKJREKPPPJISb8D4XBYJ0+e9Hp1AAAAuxZxEwAAaFc+y7KsZi18YWFBhUJBhw8fbtYqdpzFxUX19/drYWFBfX19ra4OsGNYlqXis021E093l8/5+8byimtZn6Se7vUngq/dWJG1Vqr8jObzSb093c7rK9eXZZ/2qpU9sHc9D39p6YZWXM6QPp90c+962eeXbmi5qHDx23yS+vfvcV4vXr2uG8Vly9Zx8Ka9zt8LV67rWvG+KCt7+y29zt/mletaulFctrTwC27plc+3uo/nL1/TlevF+7i07Atv2eccj/nL1/T8tWXX5b6ob59zPAqXr2nx6g25eVHfPu3t6XKWO3/luuu23dm/T/v2dDtlv3vpWlF9S724f59z7OYvX9Nzzy+5Lvcu/37n2JlXrusfF67WXK597Mwr1/WMecV1uS/279PggdVjt3Dlus4VLtdc7m03rx67i1dv6KvffV5u7uzbpxf27ZO0+jn70nPrZcuP2539+3Rn/35J0uVrN/QPz64/qlXtuL108IAk6er1Zc19Y8F1uXfcsk9Dt94kafX79ndfX+97qHw/vOCWXr3i9pslScsrlv4qf6FouaVuv7lXr3nhLU79zjz9Xdfl3nrTXt1zZ7/z+vRT39GKVbpdS5cv6Z8EjF17DSZu2n3HDACA3Wo7rsGet3Aq1t/fr/7+/o0LtqHv/fW/Vve+1eC8OHDf39Otz/zc9zuv3536B336XMF5XR7kf+Hhtzp///wffEHpr3ynqGyp7C/8gPPjLPpH/0d/8MVvrZctK/y3/+b7nB9G/+5Pv6zf+9w3XZf7Fz/zFucHzIdOP6UnPvO1apssSfpk5M162dqPkv/4Fzn92l+dc922P/y/36TXv2j1g/3fPn1eJ86sPzZQXt/kvxjWmw8NSpJ+87Nf17/9xJdd6/s7//yIjt19myTp9z73Tf3CH3zBdblPjL1BP/qaF0qSPv75ZzWR/HvX5f7Gj79OP3HkTknSn33l2/pnv5MtWm5p6cd/9DV655teIkn6y9wF/ehvflZufuWHXqF/8/2GJOns103d95G/ca3v+4J3633H7pYkffFbF3X0P/+la33f84OGfvXtr5IknbtwWa+cPuO63He/5ZB+7cdeK0l67uKSXvwraddt+xcjd+k3x++RtPrjt+/9n3DdtrE3vEj/66eGndc9k3/kWvaHX3W7/vCdb3Je973/E7palDwpdu/QQZ156C3O6zt/+ZO6cPl61bJvvMtf8p17VexT+npR0qDYa15wiz7/8L3O66P/5a/05W9XTwQcGtiv/PuDzuu3/r9/U/KDvdjtN+/Vtx59m/P6n/zmZ/WX+ULVsjft7dbFD73Def3PfmdOf1r0vS+38viPOn8fn/l7/f7nn3Ute+nEO7R/7RzxC3/wRf33uW+4lv32B+/XrTetJkTe94kvK/637t/7c+875iQuPnT6Kf3Hv3Afxv2LD9+rV71gNcHwn//qnH4l/VXXsp/9ue/XyF1+SVLiM1/X1J98ybXspx56s35w6FZJ0u9mv6l/87+/4Fr2j9/5Rr39VS+QtPq9f+fM37uWnfmpYYXf8CJJld/7cr81fo/+5dG7JEl/da6gf1Lje/9fH3idHnrLIUnS7DdMHfvI37qWnf6RV+u99w5JWv3ev/nX/9q17Afuf7k+cP8rJEn5C5f1lhplH753SLEfebUk6dnFJX3/f/20a9mfecsh/cYDr5MkzV+5rh/8b3/jWvanR+7Sb/7EPZJWE7z31di28nNEKP4Z17Ll54gf/ehnK84Rfb5r5W/bVTo5brq0dEPdS9WT1fv2dDsJ8Gs3VkqS8OX2N1B2X0+Xkyy/vrxSkrDfqOzV6zXK7unSnrWyN5ZXSpL75Xp7upwkfCNll1csXbrmntzv7elybrZsVHZvd5cTP66sWHq+Rtk93V3OdWRlxdJFl2O2Wtbn3AiwLKvmzYhGyvZ0+XRT0Q2fhSvXq97EssveXGfZbp9Pt+yrr2yXT+rbV3ojadnlDlWXz1dx08mtrM/nk7+o7MWrN3Rjxf0zMXBgb0nZ6zXKDjZQdmD/HucG1fNLN2p+j/z79qhr7Tt3aemGa+wmSf79e5zv50Zl+/f1ON+5y9du1PxuFJe9cn255ue9f98e5/u5Udm+3j3Od+7q9eWa341benuc79zSjeWan+Fbenuc79xGZW/u7XG+c9durGjhavV4V1qNIe3v0fXlFc27xMZ2Wft7dGN5RYUaZQ/s7Xa+R8srli5ccr/W7t/T7XyPVlYsfadG2X09Xc53Y6OyvT1dznfDsix9+3n3snu7fSXfjecuLlX8nnHK9nSVfDdqld3T3VVyU/jbF5e04lK2p9vnxNGS9J3nl0puNhfr9vlKbiB/99KSri+7n09eUFT2wqVrrt9Pn+TcsJRWbwqXX+cuLl5VszU14bS4uChJHXnH6gvfuihf73LF9Jv2dpe8/vr8ZX3xueqdhZb7pnlVX3L58SuVJhyeu7ikr37nkmvZ4i/Hdy5dU+7CZdeyN4o+8IXL13R+vvqPdWn15GZbuHrD9Ye9pJIvx8WlG/rmgvsHvrjs5WvL+tbFJfeyRV+kq9eXa56Qir9015ZXXJMW5WWvL1syr7iXLa7vslU7ILtWtH9XLEuXrlV+btbXW9p6pdaF+kbZicrtxCWtnuSLuQVCqyt2n4XW8vlW/5VMK/q7+ALa5fOpp6u0cPl7bT1dPvX21DfGxOqPkdKyvqJaFK9jb7dPN/d2u5Ytrl5vT5f695VesnxFC+vp6iopO1AUsJevt7h1XG9Pl24tCh5W61C6Xtu+nu6Si3x5WTsgtN93R1952fXSB8rKvrh/X2nZogXf0lta9qUD+13rUPxDZU93l4yDB+SmOMDq6fY5NwuqLfe2m9fLdndJr7itrGxRhV9YtN0+Sa9+wc1ly10ve2fZdr92rbXT+nLX/37pQOm2vP6OPi2tnRPtYvtWluSe3tr5OjluetEvp+Xrrf55LU4+/+e/yuuRP64v+Zz4zNdqJp//6J1v1DvWks+/M/eNupPPH//8t/QTvzPnWrY4+fynX/lOzeTzb/z46/Qz33tI0mqiut7k89w3TH3Pr9WXfP7Scxf1+v/wF65l33vvkKbXks9fm7+ioROnXcsWJ5+/e+maXvjBT7qWLU4+X7q2rIFf+lPXsqOvv0On/sWI87pW2fLk84t++ZOuyYjyG1QvO3HaNdY7epdff1d0g+oN/+Ev6r5B9eZf+2vXGL38BtWxj/yt6w2q227aq+c+uH6D6kd/8+/qvkH1E78zp098+dtVy0qlN6j+71NP1rxB9fyH3u4kLv71xz5f9w2qh//o/+gjdd6g+sAnv1LzBtUX3nuvXr12TYh9Klf3Dapf/+tzdZ8jPvp3X6/7HPF7n/tm3eeIP/jCc3WfI9Jf/W7d54hPn6//HPG5by7UfY748refr/sc8fUGzxF31HmOuHx9uWbZ8nNErbLl5wjjQ5m6zxGv/fCn6j5HvPG//FXd54h7/9vf1H2OePvJv6v7HPHg/+9s3eeIn/qfn6s4R1hL7jkArzQl4TQ1NaVEIuH0ReD3+/W+971Pv/iLv9iM1e1I//tfHdVNN68HznbQ3F32i+5D73iV3nvvy0qmuf3oe/Rtr9C//r5DpWWLAve9RT+ipo7drXd9z0tcy/YX3ZV5+N4h/YvhF7tuS/GPh5/93sMaff2LXOt7aHA9WJz4npfoR1/9Ateyr7xt/UfITx+9S/e/4ray+q4r/iH0E0depO83BsvKrpc+NLj+Y+zHXvtCHV27AK3XYb1s8Y+8H3rF7fpi0YmhvL533LJe9t6hg/rS5Ftdy95+8/o+e9NL/PrqI/eV1Xddcab8DS/qU27qmOtyi39Mvvy2m3X+/aVli91SdEfvLv8+ff3fBkvmFy/3pqLHyG69aa+++e9CrvUt/lF9YE+3vvWB+12XW56k+PYHy8oWLXlPd+kHv6IOJcmF0rK595XtM5ekhaSKY1y6jtLX2V/4gaqP81Ur++l//X0bLs92+t1vqZjmUlR/9M43VSaRXBY8U3Qh3shv/sQ9zkV+I7/+46/Tr//46+oqe+Idr9KJd7yqrrLvD75c7w++vK6yP/8Dhn7+B4y6yh7/npfq+Pe8tK6y/zzwYv3zgPv5r9g/fe0L9U9f+8K6yoZefpu++e/u37igpLccGtTXfym0cUFJ99zZr3PvD25cUNIrbr9ZT0+5nyOK3eXfX3GecnPrTb36UrS+sjf19pS01K3F5/PpH957b11lJZW0XLQtLi6q/+G6F7FjEDcBADqdW9y8Oq++m6RS6e8A+7Vb+fLJXT5fxW+H9XmVr13LdpWXrbHcshldPl9JNyPFyqd3N1C2y1c5zeryyb2pgzc878NpZGRE2WxW4XBYhrH642Bubk6nT5/W/fffrz/9U/c7Fu2AvggAAGiN3XgNJm5aPWbPfueC6zHr7Vl/TO768kpJa99aZW8sr+h6jRa7e7u7mlJ2T5fPaUm5vGLVrG/PJsuurFg1H3MqL1vr8alu33pZy6q93C6fz3kcqdGytVpad/lUUodaZX0+OcuVSlu211O21g/P4hawtY6FVLrcRsre2KBszybLLq9Yro8CVStbS5dv/Qf+ykp5pxjela3Ft8my5X2GblR2I9tR1u1GItBsu64Pp0ceeUSGYej06dMVfRCYpqmJiQk98cQTete73uXlagEAAHYd4qZ1B/b2lAza4GZPd1fJj/daerq71NO9cblmlu3u8qm7q77CjZTt6vJpXwNle+ss6/P5Sgba8LLs3p76flQ3UlaS08eO12Xr/Zw1WranSWVXE6L17Te3FhHVlLe+2OllfT731izVyjay3FaXBXaj+s9idcjn85qZmana4aXf79fMzIzm5tyfZwUAAOgUxE0AAKCdeZpwspuCb7UMAABAuyNuAgAA7czThFM9qgVOZ86cqVISAACgsxE3AQCA3crThFMoFNITTzzhOv/MmTMaGBiomB6Px72sBgAAwI5H3AQAANqZp6PUjY2N6fTp0zIMQ4ODpcPWFwoF5fN5jYyMVEzPZrNaXm72gHzbYzeOkAMAQDvYbddg4qbdd8wAAGgXu26UukwmI8MwNDAwUDEc5MDAgIaHhyume5jvAgAA2DWImwAAQDvzNOFkGIZmZ2cbft/Y2JiX1QAAANjxiJsAAEA787QPp1gstqn3TU1NeVkNAACAHY+4CQAAtDNPE07nzp3bsMz4+HjFtCNHjnhZDQAAgB2PuAkAALSzbW3h9LnPfU6ZTMbLVQIAAOxKxE0AAKCdeZpwyuVy+uhHP1p13tTUlIaHh2WapperBAAA2JWImwAAQDvzNOHU39+vj3zkI3ryySedaWfOnNHdd9+tRCKhWCymw4cPe7lKAACAXYm4CQAAtDNPE05nzpzR2bNnlU6n9eSTT+qhhx5SMBjUkSNHlM/n9fDDD2tubs7LVQIAAOxKxE0AAKCd+SzLspqx4He/+91KJpNKJBJ68MEHnennz5/XoUOHmrHKHWFxcVH9/f36vsc/qcGBfvXt69EtvT3q379Hfb096tu39q93j/rtv/etzuvf36Penu5WbwIAALuSfQ1eWFhQX19fq6vTkE6Pm3bjMQMAYDfbjmtwT1OWKukjH/mI/H6/QqFQyfRoNKpTp041a7U7xl+fL8j37NWG37e3u6soKdWj/n17nNe39K4mp9YTVauJq759PWvT1pNa+/aQuAIAYLfo9LgJAAC0n00nnKoN01vONE0NDw8rGAxKkgqFQseMtvJb4/foxp59Wrx6QwtXb2jx6nUtLt3Qxas31qZd1+LVG1pcWn19cemGJOna8oq+e+mavnvp2pbWX564Wk1K7SlJXK0nqtwTV709XfL5fF7sEgAAOhZxEwAA6DSbTjil02kZhqHBwcGa5Q4fPqxcLue83m2jrUxPT8vv90tarfvk5GRd73vg9Xc01CxtZcXSxaX1BJSdoFq4ckOLS2vJKTtRVZS4Wi1zvWmJqz3dvvVWVr1FjwPuL01c9fWuvr7FTmiVvb6lt0fdXSSuAACdibgJAAB0mk0nnAzD0OzsbMPvGxsb2+wqt10oFFIsFlMgEJAkDQ0NyTAMhcNhz9fV1eVT//496t+/Z0vLWVmx9Pw1u1XVeuKqpFXV1bLElvP6utMiy05cXV+2PElcSdKBPd1FCahu9fXucZJSN5e87l5LWu3RLb3dRUmsPc48+roCAOwmxE0AAKDTbDrhFIvFNvW+qampza5yWyUSCRmG4QRN0uo27/SgqavLt9bqyJvEVXnLqvWE1fW11ler855fS1LZrbQuXl3/+/ryar/0l68v6/L1ZT13cWnL27mn27fekqqoFVVfb49uLntd3tKqr+jvW3p7dNPebh4bBAA0FXETAADoNE0bpW63GxgY0MmTJxsOlBhtpdLSjeXVZNTV5fWk1NXrurhU/Ho9YfV82eviMpevL3tevy6fdHNvWZKqKCl1c1mS6ua93bq56H+7jP36wJ5udfH4IABsO67BrUPcBADA7rIjR6k7d+6cTp8+rbGxsR0XGJimqWg0Kr/fX/NOYiaTUTqd1tDQkNM3QnEfA6ZpyjRN+f1+JRIJSVIul1MkEpFhGE3dhnbU29Ot3p5u3XrT1pe1vGLp+SpJqmqvLxa1tHIrs2JJK5acllte8Pmkm/Z26+a964mo4qTUTU6SyqXM2vTi9xygFRYA7ErETfXFTb879w294NaBioFO+np7uAYCALBLNZxwOnz4sCzL0n333aeDBw8qEonogQceaEbd6haNRpXP53X06FFlMhlndJdqUqmUTp06pWQy6UzLZDIKhUJKp9OSpHw+L0nKZrNOQGWapg4fPqxz5845nWFi+3V71NeVJFmWpcvXlqu2pFp/vbzWGmv170vXbjgJr+eXlvX8tfX/Ly7dkGVJlqXVaUvLkgePD0rrSazVFlaVSambnORVcZm1RNa+0vfcvNaH1v49BPAA0GzETfXFTT/zsc/L13ug6rzuLt/6wCVrSShn5N2iwUz6ykfhXRuB137NdQ8AgO21pUfqzp07p3g8rlQqpeHhYUUiEd13331e1q9hw8PDGhkZUTwer5hXK/ix6z8xMeEEUslksqRpeCgUUiAQqHkXkKbhncuyLF25vlySgFpPSq3+fXHpRkWS6tLS8ur8a9XLNOuhV59PFUmqm/Z2r7bOWuvb6kDxNPvv3m7dtPZ38XtuKvq7p7urOZUGgBp2+jWYuKmSfcxCv3ZaV3x71wc9WXv8fsXDa2Bx4qpiBN59/3/2/jy8key+7/0/4NLsbUiQrV0aq7vokdfY0yBbjrfEngZGdpzkOjMg6fwS+yaOmpCSX/JLFA1hOrnRKPdGPaQnz01u/CQCKGW9SdwEpMTXTuwY6LGvndixmsRI8i4Nqkce7VKDRc70wuZSvz/AKmInSBZQIPB+PQ8foqoOqg6qANQX3zp1zmDNhNZwVUKLxBUAoDt05C11pS5duqTnnntOzz33nF588UUlEgnFYjFFo1HFYjFdvHjRo2p6Y3l5WYZh1LzSNjMzo0QiodnZWXfI4spm4MFgULlcrh1VxQkUCAR09tSAzp4a0Bs05Mk6nSTWq7WSUpvbeu3h/vzSBNfdsjLbVUmw4rrltuT6krxpieUYGugrS0Sdr0hInTs1UJa4qkx0VZZ1nn/2VL/66R8LwAlF3FRf+n+drAp2bdvW3Yc77mAlzki6pSPsFgcw2XJbJ6/fLx/kxBn0xLaLt+Wv3d/S2v0tSfePtE8kaaAvUJKsKmlRdXrQHZzEWe4OUlI5oMne9CAXaAAAXexYCadSly9f1oc//GFJ0sc+9jHNzc3p9u3bmpmZ0ezsbEdcaUylUm5QVMkwDOVyOVmWVTbCCuCn0iTWGx/xJom1u7vXEutheVLq1Qfbuvtwx/177aEzvfd/s3T59l6ZkuUPd7Szdyl6c3tXm9u7Ktzb8qTOpU7vJbNqJafO7/X1ca5Wy6ySpNXZwf69cvuPzw72a2igj6vWANqCuOlggUBgr2/DAb1Fp4+8Hidxte4kqtxkVe3k1Kt7Sa31kpF5nefYtrS9a6twb2vvHHf0xJVUvEBTbxTdykFLHtlrkVyr7CP0dQUA6ECeJZxKPf3003r66ae1vr6u5eVlt9+Cqakpvfvd727FJpuysrKi6enpmsucq3KmaSoUCikUCrmPHSSj0A36+gI6NzSgc0PeJbGkYkD/cGdXr22WJ6Feq5moKp93r6pcdcLLubXwwfauHmzv6k4LklmBgHR2sDoR5SSxnMdnSpadO1Verl4yy1nHaZJaACoQN7VWaeLqrSNHX8/u7l6Lq3qtrUoSWusP9vt8rNVP5Ob2riTnAs1Dff3uw2O/zr6AqpJQj5S0tDrfoKVVaVJr+PSgznN7PADAAy1JODlGRkZ07do1Xbt2Tevr60omk5qcnNT4+Lgv/RY4I6g04gRLCwsLWlhYcPsiME1TpmmWdZoJYF8gEHBHJLxw7pSn67ZtWw+2d6uSV5XJrbsPt6taXZUms+5tFaed/3cfbuve1o62duy97ch9Xis1k5yqlcQqJrhKWmlVJL7ODDp/ffxQAE4g4qbO1tcXKCZoTh8vcSVJWzu7ZaPpbtQZXdcZvOS1kunK5JXT3+OuLa3vJbu8cGawryqBdX7vf+lgJaUDlZT9L3n8yFDxok0ft8UDQE9pacKp1MjIiJ555hk988wzevHFF3Xjxg3Nzs4qEokoFovp8ccfb1dVanICqkKhIEnuiC3xeFwXLlxQPp9XJpNpeoS6jY2NsumhoSENDXnXmgToJYFAwE2mvL4F69/a2dX9kmSUk6i6d8C84vxt3W+irHM1W5L73FYa7N/fZ2cG+txWWU5Caj85VT3vbI0y1fP6iusbKE7zIwJ+2Nzc1Obmfh90lefek4y4qbvjpsH+Po2dPaWxs8e/QLO7a+ve1k7NllSVSSwnsfVaxYi8r+510v7q5o4e7hTPV/e3dnV/66G++trxW185zlUmpdz/xeTVOSd5VTYab0lyq2K0XgYqAYDm+RE3tS3hVOry5cu6fPmynnvuOd28eVMf+tCH9NM//dO+B0+VwuFww6GCG3n00UfLpj/wgQ/o2Wef9aBWALw22N+nwf4+DZ8ebNk2dnbt6oTVwx3d29qun+Aqmb7/cD/BVWs9dx/u6EFJUmtrx9bWTvFHRzuc6u/bT0INOomoykRXv04P9unMQO3kV7OJrtMDJLhQdP36dX3wgx/0uxotR9yERvr69m8ZfLMH63u4vVszeVU5WMn+SLxOq+PKEXr3R+p1Rht0WhF/xYN6Ok4P9FW1pipteXWuIqlVWrbWQCVOq2POMwC6jR9xky8Jp1JXr17V1atX/a6GLMuSpLqdYx7WK6+8UtbhZzdfpQNwsP6SWzFaZXfX1oPtnb2r0jvFVltb5dO15+3q3sO9x9s7erC13+KrtMz97dJ5u+5VcEl6uFOc9upWjoM4Ca7Tg/06PdCn03utuGpND5VNFxNWB07vJcbKpgf7NdTfx4+QDjI/P6/3ve997vTGxkZV4qLbEDeh1U4N9OnCwCnPbo8vvS2+fNTckgRWSXLKmef0A1md7Cq2yHIGKin27fhQX7/rSXVdZwb7aiajzu+NtFs5SEm95FWtx4y4C8APfsRNviecutXw8HBHjDADoHf09TmjGrZnezu7th64CawaSaytnbJEV/W83Yrl+/P2E2D7ZZy+tqT2J7hKnervcxNQTnLrtNOCq2J6qGx6P7nVcLpGEmyov09DA/TNVanbb7vqJcRN3avstvjz3qyzdKCSypZXbiurGi2y7pYktfZH5y3p97HkdnfnlkKvE1lScXTCgxJTZ+smrBons04NcJ4AUJsfcVPbE04bGxu+BRSGYcg0zZrLnD4InFFXAACN9ZeMeNgO2zu7ur+1qwfbxdsHH+wlqB7stcpyWnfVny4mrx5s72izYrp8eXHdD0qSXbv7uS432dWu2xVL9fcF3ORTaSLq9F7rq/35/e7jUwPFck5rr6G9hFnxcX/J4zplBooJsP3HfRoa6OcKfZsQNwHVWjVQye6urftbO6ocXbfRSLulg5TUKl9rxN3i6IS7KrRgxN2BvkDtEXQrBiI5M1h/gJKD/p8Z7GfEXQBNacuvhJs3b8o0TV24cEEjIyMyTVOBQKDtQ/2GQiG3CXglJ6DqhOF7AQDVBvr79Eh/nx7xoXHu9k79hNSDkiRY/WknAbaf7HKmy5fvr9uZ3inJdu3s2rq3u3cV/n7bd0OZ/r7AXvKpVkKq9vxTA/0Hlqk1v+xvL5l2aiDgPh7sD3TVjx/iJsAffS28kOLcWnj34bbubjZOalUns+qV2Z/e3jtXbO/ano5WWE9TiakDkl4H/R+kVS9w4rU8av/IRz6icDhc1t+A8/j555/X+9///lZXwRWJRLSwsFBzWT6fP3JHlwCA7jbQ36fz/cWOadtte6d4JfzB3hXxzb1kVO3H9co483fcxw8P9dzi8+ySll47u7b7g0fy/ir9YQ0N9OnUzgO/q3FsxE1Adyq9tfB157xf/0MnmVVzgJKD/99voky7R9wd6AvUbKlVOejI6cHqAUbKHg/UHpW3cqASWu4C3mtp5PzCCy9oYmJCFy9erLn8/e9/f1uDp+npacXjcZmmWdUEPJ1O1w2qAADwy0B/se+mcz53VWTbtrZ37aYTWlVltna16STPtnbcx5vu/J2aZR7sdVC/WbLezZ3yll9S8RaVB5vtv83RS8RNAI7q1ECfTg2c0ujZ1m1jZ++Ww7qJqaoRdLdrjrh70POdr/ftXVsbD9o34u5g/35S8MxA/cSUM2hJ2bKB/enS0XlrLXeWdVvrXKCWliacTNM8sPn35cuXPe2fwLIst1+BSsFgUEtLS4rH40qlUu78dDotwzAUjUY9qQMAAN0mEAhosD+gwf4+ne+Afrp3dm1tliS0Nrd3dceyNPGzftfs6IibAHSy/r6Azg8NtLS1r9MhfKPWVmWDjmxXD1pSvF29/si8pY9LR9zd2rG1tdO+BFdfQPWTWgOlLbiKfSee3uubsd5ouqcHygcfqRqMpKQMI+6iXVqacLLt8quPTz75pF5++WV95jOfcedNTk5qZWVFTzzxxJG3s7i4qFu3bsk0TfcvEokoGAxqZmamLCCKRqMKBoOKx+MaHx93+ybIZDJH3j4AAGiv/hqjMo4OnOwWTsRNAHpdaYfwo23YnjPibr3EVb1E1X7CqzzBdeA6tvc7j9+1VXJrens5rbkqk1SlSS2nJZczWEhlmZrPL0lqOcmyyjK07OotLU04Vb6RbNvW7u5uVbnKAOuw5ubmDlU+HA7T7wAAAOgoxE0A0F7tHnHXacHVKDFV2iprs8aAJc5j5/bzyhF8S8vUG3HXbc3VllddLhCQTg84CavaSSknqTVUMYBI2YAiTYyo26jcQB+Jr3ZoawunWlfDbt68SRADAAB6HnETAHS30hZcwTODbd22M+Lug+2SEXJLR93dLh8pt7RMraTWZqPn10h8OWxbewm1Xfk56IiT+HISU6Uj5RaTVJUJq34N9fdpaHC/zNDAXjn38f6IuqcPUa6bk18tTTgZhqFPfvKTevzxx+uWyefzeuqpp1pZDQAAgI5H3AQAaBU/R9y1bdsdZKRWUsu5LbEySdVoNN7NOiP2Nhp5d7ukmVd54stfgYDqJ6ZqzHf+Tg306VTpvP79Vl6nKsrWmrd177WWv7aWvtuuXr2qpaUlBYPBmiOuPP/883rmmWdaWQUAAIATgbgJANCNAoFAsT+owX6pzS27SlUOOFJ3ZN2qhFajcrt6WDFKbzOj+VYmv5xk23qbOq2XJHvzXsu3EbCP2xFAE27evKnbt29rbGxMknTnzh0FAoEDR2I5iTY2NjQyMqL19XXPRpABAAAH65ZzMHETAADdbWe32J+X0x9Xo8TWZkW5zZ3y5NbDkumHe8sfumV3apbb3N7V/buv6usLT7f0HNyW9nRXr151H6+vr2tkZKQdmwUAADhxiJsAAOhu/X0Bnekrjubnl42NDY0stHYbfa1dfTWCJgAAgOYQNwEAgJPqyAmn+fn5Iz3v+eefP+omAQAATiTiJgAA0GuOnHDK5XJHet6tW7eOukkAAIATibgJAAD0miP34ZTJZHTlyhW3Q8tmFAqFIwdcAAAAJxVxEwAA6DXH6jQ8n88rn883Xd6yLAUCgeNsEgAA4EQibgIAAL3kWC2cTNPU2NiYnn766aaf9+STTx51kwAAACcScRMAAOg1R044Xb16VVevXtX6+rqWlpYUCAQUDod18eLFhs8zDOOomwQAADiRiJsAAECvCdi2bXu1shdffFErKyu6cOGCnnrqKa9We6JsbGxoZGRE6+vrGh4e9rs6AAD0jJN2DiZuOnnHDACAbtGOc/Cx+nCqdPnyZV2+fFmS9LGPfUxra2uanJzU448/7uVmAAAATjziJgAA0M08TTiVcvonuH37ttt0fHp6mqtXAAAAFYibAABAt+lr9QYuXbqksbExLS8va3R0VDMzM63eJAAAwIlE3AQAALpFyxJOL7/8st773vfqwoULmp6elmmaeu6555RMJlu1SQAAgBOJuAkAAHQbT2+p29jY0PLyshKJhHK5nGzbVjQaVSwW09WrV73cFAAAwIlG3AQAALqZJwmnF154QYlEQul0WrZtKxQK6cMf/rCuXbvmxeoBAAC6BnETAADoBUe+pW5jY0PPP/+8HnvsMYXDYWUyGV27dk35fF4rKyt1g6bnn3/+yJUFAAA4iYibAABArwnYtm0f5Yl9fX0KBAIKh8OKxWJ66qmnmnreY489ps9+9rNH2eSJsLGxoZGREa2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XrV8mAAAAAABAARJOVRKKflGuzoNVXYfLpYIkVkHCqs1tJai2ElvZ7dw5ia2ttrnJr4KEmZUE21nCzC4JV7hcm2W63Wpzy3qc5BsAAAAAAPWDhFOV+O+6Teo8qLV1Q2sbG1rbMLS+YWgt719mXubxTFsjr+2GNozi6zAMaXXd0Oq6IWljT19fvclOvhUk0nadMHOrzZVJbrVttu1oy11+yek2lzqykm2ln+tWR1t2v9zqyP67Le91kGwDAAAAANShihNOn/rUp7S4uOh4R3p7e3Xfffc5vtxa+eTPnVJXV5cjy9rYMLRu5CesNrS2npmfnagyH8tpu/l4pu2GTdJra5lbbbPm2yTM1tY3Mm03DK0XJMw2bNaT24+C11XQttLkmyStO7LtG4HbtTXSaytZtTmd/XdeYq0jawRZzrSZGCPBBgC7RtwEAABalcswDJuf8MWdOnVKoVBIFT5tW1NTU3rqqaccXWYtLC8vq7u7W0tLS44lnLDFKEi8lZ8ws0t6FUvaFSTMiizLnL+atd7VjY2cxNtqToJvQ6vruetftZad/Xd+243NZTn7mWtUtU6wdbRtJcI62rYSZB1Wgizz/3aPmX0wk3MdWQm2NrdLLheJNaBS9XgMJm4qrR7fMwAAWsFeHIMrHuFkGIYeeOABxzsyOTnp+DLRfFxmLaq2Wvdk7xmGoQ1DVmJtNSvJlp24MpNT2cmxnMRXkSTZmm2SbPvn7nWCbcOQbq1v6Na6pNW9fQ/2Um4yKjtJVSzh5bba2D2WnYgrlfDaLhlWuI7cPha2c+f0nxFqaDXETQAAoFVVnHAaGRmpRj8UCoWqslygWbhcLrW5pDZ3mzpboPpavSXYVvNqra2ub2z+y5reyH5sK5FmLnO1yGNrNteJZp633nRJNbdLuckzd16Sq+yElzunTanH7NdRav1Z6yw1Qm1zGYxKgx3iJgAA0KoqvqQOpTE0HEAlzMtEV7OSXTlJquykVn4Cq2jCK79N3t8bxZNh2Um1guXmJd7yH7Nbv13NtWaVn4Qyk1YF09mXXRZMZ41Mq/i5FU6X6GOjJs84Bjce3jMAAGqjLi+pAwA4J/sy0QMdzXWt6MZG5ckwu6RW6YRXfpvcZNjW5ZwbpRN7WYm37R4rxhwZd2O18e8a2uZ27SJplneJZgWJrt0l61xaeWml1psOAAAAm8pKOD322GNaWFjQ8PCw3vWud0mS3v3udysej8vr9Wpqakrvfe97q9pRAEBjcbtd2ud2aV+7u9ZdcZR5uWexhJeZqNp2OjuZVum0mVgrZz3rhm6Zl39uFG9TbCTa+ubNE26uNVbyzFi5XusuSCJuAgAAkMpIOH384x/X2bNn5fV6FYlEND09raefflrJZFKjo6O6cuWK3ve+90kSwRMAoOll11Pb31Hr3uzexkaFybIaJs+2W+9arTemiJsAAABM2yacksmkFhcXren3v//96unp0dNPP53T7sEHHyRwAgCgwbjdLnU2yc0I0ukl9fx6bftA3AQAAJCx7XUO/f39OdOTk5MaGBgoaOf1ep3rFQAAQIXc7toXOyduAgAAyNg24ZROp/Xkk0/qkUcekSR1d3fL7/dLki5fvqzLly9Lkq5cuVK9XgIAADQA4iYAAIAMl2EYJW9cvbS0pNHRUV26dEkXL17Meezee++1imKOj4/rxIkTVe1sI+D2vgAA1EY9HIOJmypTD+8ZAACtaC+OwdsmnEpZWlrS/Py8BgcHnexTQyNwAgCgNur9GEzcVMh8zwL/6byOHDmizna39re3qbPDrf3tbnW2t2l/u1v7Ozbnt7s3p9s2H8/M379N+/a25rpbJgAAu7UXcdOuSoR2d3cXBE3nz59XJBLRyMiI7rvvPmv+zMyMjh49mjMPAACgVRA32Yt9/btydb5UteW3uV3qbNtKRO3vcOdOm8mrzUTW/vY27Wsv9njx9rmJr+zE2NZ0u9sll6v2dcYAANgrjt6T5sKFC4rFYlpYWJCknCBpdHRUTzzxhC5cuKDTp087uVoAAICGQ9y05Tfve7Nc+w/q5tqGVtY2dHN1QzfX1rem19a1sjkvM72hm6vZj+dPr2t1fWsQ//qGoesb67q+ui5ptSav0e3SVrKrfStxlZk2E12ZJJaZsOosa1SXXbKrsD1JLwDAXtrVJXX5JiYmdPbs2ZJtHnvsMT3wwANOrbLu1PtwfgAAmlWjHYOJm6r7nq1vGFrJSVCVSlit6+bqhlbWt+Znptc3n5dpc6tYMsxsv7ahlbXc9tlJr3rgdqlkgmpr1NfWdGeJUWBbo77yp+1HgXW0kfQCgHpQ95fU7UQ6nd7rVQIAADQk4qada3O7dHBfuw7uq10fNjaMnCRWdnLLSlDZJMOsv81kWF5Sy1qW2X49KxlmJc82dGt9Y6s/hnRjdUM3VjekG7XZJi6Xcutt5Y3qKjYKrLPYKLCsSyIrHQVG0gsA9oajCaerV69u2yaZTDq5SgAAgIZE3NT83G6XDrjbdKCjrWZ9MJNeuaOx1otfuljGKLCbaxu6ZZcoK5oMy016GdlJrxoqTFAVT1hlEltt1mitnFFgRUZ1WSPAbOZ1tnF5I4DW4WjCqb+/Xw8++KCmpqZ05MiRgscnJibk8XicXCUAAEBDIm7CXshJeh3oqEkfNjYM3VrfbvSW3Siw7Omt567Yjhqzab+Wm+AyL4OsleyaXtmjsXLmZReeLzKv2GWORZdTZB6jvADsBUcTTqOjoxoaGpLH49HQ0JBOnDiho0ePKplMKh6PS5KeeuopJ1cJAADQkIib0Crcbpf2u9u0vw6SXqVHb+Umw7ZGfRUfFXbLdtRY7jKLjfTaMKTrq7UrZG9e2liq4Pz+vGRWZ0fhvFIJrs4iCbLsUWQkvIDm53gNp7m5OUUiET300EM5dQeCwaBmZmacXh0AAEDDIm4C9kZ20qu7Rn3Ir+mVm5DK+99mNFjuyLD85xZZXl5yzWTUQT2v7RJcpQrYl7x0Medx++W53SS8gGpz9C51+ZaWlrS4uKgTJ05UaxV1x6z0nnruOzp8ZKvSu7mVXS7pZYc7rfmL129pZW3DetyQkdP+VZ4DVtsXXlrR9VvrWW1zl/2angPWF+d3rq3o2spaVhsj5zl9Rw+pbbPt88s3dfXGqrL3hOyd4q7bDmlfu1uS9K3lm/rui7eK9lWSXn/74czZK0nPLd3Ut67d3Opv3mu8+44jOtTZbrX9RvpGQT/N57zp5UfUvXlG7Lmlm0peecl2m735FV06emif1far37mWt/4tb3lFl+440mm9ts8/t1x0e5ltzffj29dW9LlvXC3op9mXt76iWyeOHpSUeS/+5vLi1jLz+vGWV3Tpe24/LEm68tItxZ/6bpH32LBe25tfkdmv0jdW9QdfeT53mVkdftMrjqj/VR5J0rWba5r7wnO22+yNdxzR953olSRdv7Wm3174pu1+9vrbD+v0XbdJkm6tbSjy+DO2+9ldtx3Se95wh/XYr/1VqqCf5p/eowd135tfYc3/1b9Iam3DsPqa/bzX9BzQP/S9ypr/7/8yqeurmc9G/mt8Zfd+PfD21+S0Xbq5JsMwCl7b7Yf36V/8gNdq+2t/ldR3X7yV0858jb0H9yl8+rVW2//wVyl9c+lG0dd2eF+b/s0Pv96a/5/+OqXkles5+5e53H1tbv3qT9xtzf+Nv72kLz9/rei+5pJLjwbfYrV99DOXtfD3S7bv86P3v8X6LM88/ow+c3nRdl/7jfveoiP7M5/P//q5b+j8Uy8o+3CR3ff//N436bZDmc/Rf59/Vn/4lW8X9NXaTj/5Jutz9P8mvqm5zz9X+No2///Vn3ij7npZ5rMR/fxz+m8Xn7Xd16Z+7I3WZ+N/fel5/ZfPXLLdhz/2ntfrba/ukST98Ve/rY//ebLo9pKkj777e/TO12b29/NPfVcf/tO/s91mvxx4nbW//82lK/rF//0V2++08OnXauitd0qSPveNq3p/9Au23yf/6gf79HOnjkmSvvDcsv7h7y7ktdvyf3/fCf389x2XJH39uy/qxz/xuaJ9laTRf/Aajb8rsw9/4+p1vfO/fMa2Dz8zcEz/dnMf/u6LK/L92l/Z7mcj99ypX/vJN0mSXlpZU9/Z87bb7Cff9Ao9NvxWSZkfYrd9+E8L+mn+9e7XvUznfmbAmn/7h/9UN8zP/WarI7qlbz98X8PcpS5fK8dNjfqeAY3EMDYvbVzdyEtKFY7Gsp2XncAquLNj/vIKl1O9X56V62hzFV6maHPpYnYdr/ykVn6R+sLRXsWX10bCCzXW8Hep6+7uVnd3rc4h1Jb3Yxfk6jxYMP/QvjZd+9h7rOl//LsJffrvvlt0GS6XtP7xH7emH4x+UZ/84rds1/nS2ffogDuT7Dnzh1/Rby9807btdz56r/UD8aOxr2v6s8/Ytr38S4N6dU/mtfzqXyb17/8yZdv2y2feqTfckalD8ehnL+vfxe0vBfjcL/yABo55JEm/vfBNTfzxV23b/sWD79AP9h2VJH3qi9/Sv/ifX7Jt+0fve5t+ZPNH36f/7jt6YPbztm1n/0m/gps/+v4qdUU//TsJ27b/7afu0c8MZH70XXw2rZ/8rYu2bX/jvjfrwXcclyR96flrCv7/523bTv3YG62E09MvvFSyDx+593usH9XfTN/Qz/6PJ23bnnlnn5Vw+u5LKyW3w8+/47iVcLq2sq4HP/lF27Y/d+rYVsJpfaPkezH81juzEk7SB//gK7Ztf/QNt+cknH7501+zra3wrr6jOQmns+ef0pXrxYejv+2YJyfh9B//OqVn0zeLtr37jiM5CaeZx7+hr33nxaJtT/QezEk4/W7im1r45lLRtrcf3peTcPrkF76lv760WLTtoX1tOQmnP/rKt0t+R2QnnM4/9ULJ74jfuO/N1t9/c2mx5HfEv//Ju3Vk8xBx8dm0/scTf2/bdvJH3yAdyvz9hW8tK/oF+z7826zt8LXvvKj/9eVv27b91/e+zvo7eeW6/vhr37FtO3F66/1/Nn1Dsa+/YNv2yku3rL+fv7aiv0xdsW37QlbbF166pc9cti/ynN02fWNNF59Nl9X2xZV1PbmZ7N6u7Y3VdX3l28X3yfy2t9Y29NQLL9m2zd4OaxuGLl+1P8V9NevztWFIf79U/DMkSUs316y/DUnfefGWbdsXV9ZyptM37C8ryVx2kvvc/O+IDldtixDvVivHTQCqz+VyqbO9TZ3ttRnlZRiGVteNkgmunARWduLKJpm1slo6wZVdLP/G6ro2shJeq+uGVtfXdG2lBhtDUrvbZXu5YbHRWQWXKJZIZuUXqS+2PArXYy9UNeG0vJwJoDljZc/tclnZ7eyPu8sluZT7BbBv88vHfNxqu9ku+4zw/g63jmyOHjLbmk/J/2I5tK9NvQc7irZxbfbRdKSz3RoRtNV2qx/Zmfru/R065tlf0E+z/b42t/WY50C7vEcPZrXN7cf+jq22PQc79D0vO1TQT3PZh/Zt7dY9Bzr0ppcfKeinOd2dVUeg50CHTr6yq2hfXZKOZt1X2XOgXW9/tWerv3n9MLeRJHUfaNf3byZzim2zV3VvbaOu/e1612ZizVpmVh9OHN0a8Xa4s133vu5lBW3M55pJLEk62NGmH9tM/GS3N/9+8yu2itV2trv13je9vHhbudT/qq0Qpd3t0vBmwq5YH3K3kfSPfK8saGNOv+XO3O+Jf9z/Kq2tG1bj7G1mvv+mfzJwTC/dWrMez17n8Z7cxO/PDByzfjznbgeXXp71vknSP+l/lb7z4kpBX12uzAin/P6+a3MkTPbry+yTbQVtv99r7hP2nwtJ+kf9r9LbX9NT9LXl+6mTd+rk5vtTbF9rz/p8Dr/1zqzPRuHn6GDWHZWCb3mFvmdzpFGx97nnwNa2eO+bXqETvQeLvjaXlLONf+Lul+tY1ijO/M/oa3q2HnvPG263/+5xKWd/D7zuZfrtf3iyoJ/m9Fvv3NqH39V3m37vH/fbvDbp7ZsjoSTp+4736lM/tzXCJv/1nXzl1nJPHfPoD/7Z24q8tow33rH1mXvrnV369OjbC/ppPu+1R7f29zfccVjn3/+9xbeDXDnb7ETvQf3V/+8dRfvqknRn19Z3z51d+/X4v/j+gtdmPudlh7be496DHVr4Vz+Y1VY5bXuyvlcPdrTpC7/4Q7avzTxOmdNfHX9XQT/N52bvk5L0pTPvzOmvyyW9uLysNz+ihkXcBKCZuVwu7Wt3aV+7W1mHoD21tp6fmKowwZV/d8cyL2c0l7OWlfFa2zD04sq6XlxZL9Hj6tlJ4Xrzro3FLlOkcD2KqcoldRMTE4pEIlYtAo/How996EP6xV/8RadXVXfMYWlXr6bV1dWV9YOIDxMAANXUqJdnETc13nsGADuxll24vkgCq3hdL/tk1kqRpFZh3a/ihevrwfa1t8ovXF+qSD2F64tryEvqBgYGlEgkFAwG5fVmLk1ZWFjQmTNnFIvF9OlPf9rpVdYlt9tFIToAAFAScVPGmT/4svYdPFx0JNwHftBrXdp/4akX9Idf/XZBm8y0Sw++4zXybo4K/MzlRf2vLz2/2aZwlN/PDhyzRkcufDOt3//i8wVtzOcOv/VO3b05KvTLz19T9AvPWevMeY5L+ok3vtwatfv0Cy9p9vPP5S1vq7/3fs/LrNGR37h6XeeefC63v1nP+UHvUasUwfPLN/V7VtvC/r791R6rVt2Vl27p9578++L9lXTPK7v1DzZH0i7fXN1abpH+vuGOw3rH8cwI3Rur6/q9zcuti47OvO2Q1XZ1fSPrtRX299WeA9al/YZhaO7zW5dm5460ll7Rtd9qK0n/+8vPa31z1Ej+qOzbDu3Laftnf/cd3Vo3ctZvPs9zoMPqryT9ZfIF67Ld3LYuHd7Xpu/Navv4M1d1/dZ60f7u72iztq8kPfH3S9blxPn97WhzWe+blNnXrplt8/rrdrms/UGSnvrui1ou2jYzlT0K95nF69blz/n9lTKjcM3fMc8t3dTSzSIjwzdb9x09qPbN0dnfubZi04fM/6/2HLDaXr1+S8tZl2Dnn6R/+ZFOdWy2Xb65mjMKKH8fOnpon9X2+q01vXSrWNvMH1372622K2vrmaLpUtH9/UCH2+rv6nrmroTF+uqS1NHmtq70WN8wCvbJnBG7+9qsOrbZYz/2IvlRT4XrJVmP14pd4frMSK7C0V47LVxfuLzM362QL3A04fTQQw/J6/Xq/PnzBTUI0um0xsbG9Nhjj+mBBx5wcrUAAAANh7hpS+TxbxStfSlJ/9j3KivhdPHZtP7DX9nXkvzxN95hJZwS31zSx/8iadv2B070Wgmnzz+3rI+dt687+eaXH7ESTl96flkf/bOv27Z9teeAlXD62nde1P/zJ1+zbdu1v91KBDz9wnWF/8i+nuXUj73RSjA8c/WGPvC/v2zb9iP3fo+VuPjW8k3989+3r7d45p19VkLkhZdu6f3RL9i2/fl3HLeSMss31/S+EvUhf+7UMavtytqGfuZ/PGHbdvitd2YlnKSf+p0F27Y/+obb9Qfve7s1/VO/vVCy5uP5B99hTf+j302UrPn4+C/8gDX9M//jiZI1H7+YdVnvPzv3ZMmaj8kPDVrTY3OfL1nz8fmPvNua/vlPfqFkzcfsurC/8D+/VHZd2A/+wVfKrgs78cdfLbsu7If/7O/Krgv7K+efKrsu7CN/kSy7Lux//pvLZdeFnXn8G2XXhf3thW+WXRc2+oXnyq4L+0df/Y5+4r9+rmg7l0v69fdu1YX986df0L2RxzOPZbXJTLv0sfe8Xh/4oT5J0sVvpPVD/+VvC9qY0x8avEsTg3dJkr7y/DW98798Jq+tuXyX/vn3n9BH3/09kqTLi9c18B/+qqCNOf1P3/ZqPfyjb5CUucnIW371LyVJBzradKCjTS5X5jPukvTjd79cE6dfq5trG7p645b+r9+6WPQmI4YySdAffcMdurm2rhur63r0s89stjU2bx4i6yYiRzrb9cru/VZy7Nn0DW0YW+2yrWwmwbLrT+4ll6Q2t0s9BzqshNQLL93S6vqG3C6X3K7M9m1zbd5ps71NP373HVbi6vxT39V3X7y12dYlt3uzZI8rUx/sV3/8bmu5/+VvL+lL376mts3ltrlcWr95veqv0dGEUyqV0uzsbNHHPB6PZmdn9eCDD7ZE4AQAAFAKcdOW8Xf2ad+hTPIn/w6I2bXf/sFrPAqffm3WXS1z7wT5qqzakfe8skv/6ge9OY9njyY43ruV4HrjHUf0f3//idxlZv0y6bttq5Za39FDCn3va4r2VcrcodV0zLNf/+xtr85pk71csz6e+Tp/pv9Vtv19Q1atuqOH9umnT76y6DaQpLtfvtW2a3+7gm95hW1/35RVx/FgR5t+8u47CpaXfddg0742l97z+tuLtDUK2ra5XQq87raC12/+eXdWW0l652ZCILdtZiK7Bp4kfe9renRrfaNof9+Q19b3qm4t3Vgr2t833HE4p+2bXt6l2w7tK9rfvqO5ydG7bjukdreraH9f2Z1brOg1PQf0Ys6dpLeWe/RgR07bO7v3y3v0YNH9Pb+u3csOd+qYZ3/RO7TmD5zpPtChlx/pLLzza5FCK4f2tenowY4idzHNyK75t7/dra797bZ3Mc0ewdPR5taBDrftHWWz++x2ZepQFvS3sLtNJf/9MAxZI6eKtM4piL5hGCVHDq2uGzltr63YJ1xuZt20Y8MwtGiTtJVybwayYWTu7G3n1vqGXrP5PfziylrJm4zc2bXfulnPxoahqT+3P5lw+rWenKT0wYf+SDfXim+3731Nj37rp+6xRmbdG3k8Z+RdtmOezJ2vzdFdM48/oxdvFa+/tb/dLe/Rg9aor29fu6n1Il0wlKnl9d2X7F97vt/428tlt/2B3/jbko8bK9VPODlaw+mhhx7Sww8/XLLNxz/+cZ05c8apVdYdahEAAFAbjXYMJm5qvPcMQGPIT6KZP3jNESNSJnljjnzJtMl9TvZlcmvrmfpHdgmy/R1u61K9W5t3xLNLkB3al7lToNl2eWU1K6mYu/wjnW06uHlDpJW1dS1eX7Xtb/f+Dh3Zv9X229dWbPvrOdCuns0b4KysrVuj+Yol83oOdOhlhzut/iavvJSzrOz2PQc6dOdmknV1fUNf3byzbnaS23xe78EOa8Tb+oahJ59bKlzu5t89Bzv02s1kvmEY+j/fSOf0N7sPnv0demNWEvtvLy3mvM/Z/ene36F7si43/evUFa2uG0X727W/PeeSV/Oy29z+ZiYOd7brB7xHrfl/8fQLevHWugwjc7nl6nrmjoy31g21uTI3ZTIvVXz8mau6en1VtzYfNy/nXN3cX1/Tc3DzMsd1pa5c14srq5vtDN1a39Cq+W/DUGd7m3U544u31nRrbSMnMWmsXJd+/acaq4bTdsz6BNkuXLig06dP73VXAAAA6hpxEwBULr9uWzFtbpfaVKJBlva2rXpO29nX7ta+9vLb3tbeuX1DSZ3tbXpFV9v2DTfbvrqn+GXKxdq+9rZD2zdUpr/5IwftdLS5C+5CbafN7VL/qzxltXW5XDl10baTXcdtO9lJou38UN9tZbd952vLb/v9J8rvw05kF67/7uJVveHXq7o6lfdJKFMgENBjjz1m+/iFCxfU01O4c0xPTzvZDQAAgLpH3AQAAPZSe5tbhzrbdfTQPt3ZfaDq63P0krrh4WGdP39eXq9Xvb25mcTFxUWlUikNDAwUzE8kElpfL379Y6NhaDgAALXRaMdg4qbGe88AAGgWe3EMdvSSung8Lq/Xq56eHuXnsXp6etTf318w38F8FwAAQMMgbgIAAM3M0YST1+vV/Px8xc8bHh52shsAAAB1j7gJAAA0M0drOE1OTu7oeRMTE052AwAAoO4RNwEAgGbmaMLp0qVL27YZGRkpmHfy5EknuwEAAFD3iJsAAEAz29MRTk888YTi8biTqwQAAGhIxE0AAKCZOZpwSiaT+sQnPlH0sYmJCfX39yudTju5SgAAgIZE3AQAAJqZowmn7u5uPfroo3ryySeteRcuXNBdd92lSCSiyclJnThxwslVAgAANCTiJgAA0MwcTThduHBBFy9eVCwW05NPPqkHH3xQfr9fJ0+eVCqV0pkzZ7SwsODkKgEAABoScRMAAGhmLsMwjGos+P3vf7/m5uYUiUR0//33W/MvX76s48ePV2OVdWF5eVnd3d1aWlpSV1dXrbsDAEDLaORjMHFT471nAAA0sr04Bjs6winbo48+qtHRUQUCgZz54XC4WqsEAABoSMRNAACg2bTv9InFbtObL51Oq7+/X36/X5K0uLjI3VYAAEDLIW4CAACtZscJp1gsJq/Xq97e3pLtTpw4oWQyaU1ztxUAANBqiJsAAECr2XHCyev1an5+vuLnDQ8P73SVNTE1NSWPxyMpE/SNj4/XtkMAAKDhEDcBAIBWs+OE0+Tk5I6eNzExsdNV7rlAIKDJyUn5fD5JUl9fn7xer4LBYI17BgAAGglxEwAAaDU7Lho+ODi4o+edPHlyp6vcU5FIRF6v1wqapEywSNAEAAAqRdwEAABaTcUJp0uXLumxxx7T8vJyNfpTN8LhcMGdYgiaAABAJYibAABAq6r4kroTJ07IMAydPn1aR48eVSgU0n333VeNvlUsnU4rHA7L4/GUHLoej8cVi8XU19dnFePMrjGQTqeVTqfl8XgUiUQkSclkUqFQSF6vt6qvAQAANA/iJuImAABa1Y5qOI2Ojmp0dFSXLl3S9PS0xsfH1d/fr1AopNOnTzvdx22Fw2GlUimdOnVK8Xjcup1wMdFoVOfOndPc3Jw1Lx6PKxAIKBaLSZJSqZQkKZFIWAFVOp3WiRMndOnSJasYJgAAwHaImzzVezEAAKBu7biGk5Q5a/fwww/r6aef1kMPPaTZ2VndddddmpiY0OXLlx3q4vYmJyc1Nzen8fHxkkFNOp3W6OioZmZmcub7/X4tLi5aZ+UWFxclKeesnMfj0cDAgM6ePev8CwAAAE2PuAkAALSSXSWcsp08eVKPPvqonnrqKQ0MDGh8fFynTp3SI488Ujd1C2ZnZ+X1eosGVyMjI5qenpYk9fb2SlLBMHCPx6NEIlH1fgIAgOZG3AQAAJqdYwmnbPfff79mZ2cVj8fV3d2t06dP693vfrcee+yxaqyubHNzc1ZQlM/r9SqRSCidTufcYQUAAKCaiJsAAEAzqkrCydTd3a3R0VHNz89rdnZWV69e1cDAgEZGRnThwoVqrrqo+fl52+KV5nyzDoHP57P+NhFUAQCAaiFuAgAAzaSqCads3d3dOnPmjObn5/XQQw/pz/7sz/Ta175WDz74oJ588sk96YN5B5VSzGBpcnLSGipuzk+lUpqYmChrXcvLyzn/VlZWdtxvAABQaGVlpeB42yyIm4ibAABwUi3iph3dpW63Tp48qZMnT+rhhx/W+fPn9bGPfUwf+tCHdM8999SiO5JkBVRm4Uvzji3hcFhHjx5VMplULBYr+04rx44dy5n+8Ic/rI985CNOdRcAgJZ39uxZffSjH611N6qOuAkAAOxWLeKmmiScsg0ODmpwcLDW3SjK7/eXvFVwKc8++6y6urqs6c7OTqe6BQAAJE1MTOgDH/iANb28vFyQuGg2xE0AAGAnahE31TzhVC/S6bQk2RbHrFRXV1dO4AQAAJzV2dlJYqJGiJsAAGgstYib9qyGk6mZ6isAAABUE3ETAABoVHsywun8+fNKpVI6evSouru7lUql5HK59MADD+zF6i1er7fgDiomswaB3d1YAAAA9gJxEwAAaAZVTzg99thj8vv9OfUGzL8feeQRffCDH6x2Fyw+n88aAp4v+7a+AAAAtUDcBAAAmkVVL6m7cOGC+vv7dfz48aKPf/CDH9QjjzxSzS7kCAQCtmfqksnkjgtdAgAA7BZxEwAAaCZVTTilUimdPHmyZJuTJ0/uWX2C4eFhLS4uFg2eotGoQqHQnvQDAAAgH3ETAABoJlVNOBmGkTN977336nWve13OvIGBAc3Pzzu2znQ6bdUVyOfxeDQzM6NwOJwzPxqNyuv1KhgMOtYPAACAShA3AQCAZlLVGk4ulytn2jAMbWxsFLTLD7AqNTU1pYsXLyqVSln/AoGAPB6PRkZGcgKiYDAoj8ejcDisvr4+qzZBLBbbVR8AAAB2g7gJAAA0k6omnPIDomLByfnz53ddA2B8fLyi9n6/n7oDAACgrhA3AQCAZlLVS+q8Xq+efPLJkm2SyaS6urqq2Q0AAIC6R9wEAACaSVUTToODg7p48aIuX75c9PFHHnlEZ86cqWYXAAAAGgJxEwAAaCYuY7eFAMpw/vx5Xbp0Sb29vZKkK1euyOVy6YEHHqj2qvfc8vKyuru7tbS0xBlIAAD2ULMcg4mbAABAte3FMbiqNZxMg4OD1t9LS0vq7u7ei9UCAAA0HOImAADQDKp6SV0xBE0AAADlIW4CAACNascJp4mJiR0975FHHtnpKgEAABoScRMAAGg1O044JRKJHT3v4sWLO10lAABAQyJuAgAArWbHNZxisZhOnTplFbQsx+Li4o4DLgAAgEZF3AQAAFrNroqGJ5NJJZPJstun02m5XK7drBIAAKAhETcBAIBWsqsRTqlUSr29vbr//vvLft69996701UCAAA0JOImAADQanaccBocHNTg4KCWlpY0MzMjl8slv9+v48ePl3ye1+vd6SoBAAAaEnETAABoNS7DMAynFvbEE09ofn5eR48e1X333efUYhvK8vKyuru7tbS0pK6urlp3BwCAltFox2DipsZ7zwAAaBZ7cQzeVQ2nfCdPntTJkyclSZ/85Cd19epVDQwM6J577nFyNQAAAA2PuAkAADQzRxNO2cz6BJcuXbKGjg8PD3P2CgAAIA9xEwAAaDbuaq/gxIkT6u3t1ezsrHp6ejQyMlLtVQIAADQk4iYAANAsqpZwunz5sh588EEdPXpUw8PDSqVSevjhhxWJRKq1SgAAgIZE3AQAAJqNo5fULS8va3Z2VtPT00okEjIMQ8FgUKFQSIODg06uCgAAoKERNwEAgGbmSMLpwoULmp6eVjQalWEY8vl8evTRRzU6OurE4gEAAJoGcRMAAGgFO76kbnl5WY888ojuuusu+f1+xWIxjY6OKplMan5+3jZoeuSRR3bcWQAAgEZE3AQAAFqNyzAMYydPdLvdcrlc8vv9CoVCuu+++8p63l133aWnnnpqJ6tsCMvLy+ru7tbS0hJ3lgEAYA/V8zGYuKm4en7PAABoZntxDN7VJXX333+/vF6vPve5z+nixYvWfMMw5HK5ctoahqFEIqFUKrWbVQIAADQk4iYAANBKdpxw8vl8mp2dreg5qVRKAwMDO10lAABAQyJuAgAArWbHNZy8Xu+OnuP3+3e6SgAAgIZE3AQAAFrNjms4oThqEQAAUBscgxsP7xkAALWxF8fgikc4PfbYY9XoR9WWCwAAUCvETQAAoFVVnHCanp6uRj80OTlZleUCAADUCnETAABoVRUXDTcMQ5/61Kcc7YRhGOLKPgAA0GyImwAAQKuqOOE0MTGhZDLpeEfC4bDjywQAAKgl4iYAANCqKk443X///dXoBwAAQNMhbgIAAK2q4hpOAAAAAAAAQCkknAAAAAAAAOAoEk4AAAAAAABwFAknAAAAAAAAOIqEEwAAAAAAABxFwgkAAAAAAACOIuEEAAAAAAAAR5FwAgAAAAAAgKMcTzhduHBBIyMjOnXqlEZGRvSJT3xCy8vLTq8GAACg4RE3AQCAZuVowmlmZkbBYFCGYainp0exWEyjo6M6ceKEPvGJTzi5KgAAgIZG3AQAAJpZu5MLW1hY0OLiYs68S5cuKRaL6cyZM0omk/rYxz7m5CoBAAAaEnETAABoZo6OcBoYGCiYd+LECY2NjSmVSunpp5/Wpz71KSdXCQAA0JCImwAAQDNzNOH09NNP29Yd8Hg8mp2dVSwWc3KVAAAADYm4CQAANDNHE04TExMaHBzU5z//eds2Xq/XyVUCAAA0JOImAADQzBxNOHV3d2t6elrvete79O53v5s7rQAAANggbgIAAM3M0YSTJPl8PqVSKR0/flxnzpxRT0+P7rrrLo2MjOiHf/iHNTQ05PQqAQAAGhJxEwAAaFYuwzCMaq4gHo9b/xKJhFwul7xer/x+v+69914NDg6qq6urml3YU8vLy+ru7tbS0lJTvS4AAOpdMxyDiZsAAMBe2ItjcNUTTvmKBVKxWEynT5/ey25UDYETAAC10YzHYOImAABQDU2ZcMq2tLSk+fl5DQwMqLu7u1bdcBSBEwAAtdHsx2DiJgAA4JS9OAa3V2WpZeru7tbg4GAtuwAAANAQiJsAAEAjcbxoOAAAAAAAAFobCScAAAAAAAA4ioQTAAAAAAAAHEXCCQAAAAAAAI4i4VSmqakpxePxWncDAACg7hE3AQAAEk5lSKVSCofDte4GAABA3SNuAgAAEgmnssTjcXm93lp3AwAAoO4RNwEAAImE07ai0aiGh4dr3Q0AAIC6R9wEAABM7bXugJPS6bTC4bA8Ho8mJydt28XjccViMfX19SmdTkuSxsfHiy5PkjweTxV6CwAAUDvETQAAoJqaIuEUDoeVSqV06tQpxeNx+f1+27bRaFTnzp3T3NycNS8ejysQCCgWi+W0nZ2d1djYWNX6DQAAsNeImwAAwF5oikvqJicnNTc3p/Hx8ZJn1dLptEZHRzUzM5Mz3+/3a3FxUZFIxJqXSCRKBmAAAACNiLgJAADshaZIOJVrdnZWXq+3aHA1MjKi6elpa3p+fp6ClwAAoGURNwEAgN1oikvqyjU3N6fe3t6ij3m9XiUSCaXTaUUiEV25ckVTU1PW44uLi5qenlYikShatwAAAKCZEDcBAIDdaKmE0/z8vO2dU8yzcqlUqmhgFA6HFQqFGC4OAABaAnETAADYjZZKOKXT6W3vnJJKpeTz+Xa9ruXl5Zzpzs5OdXZ27nq5AAAgY2VlRSsrK9Z0/rEXu0P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ho2w797M1CLdjY/c9nslklMvlIv9MmqapjY0N5fN5r4NGy7JUqVR8TzPO5/OyLMs7lT6fz6tWq2lhYaFjnQ47337r0j2lut/p5MMu7zCmaXodtA567XwikVChUFC9Xu95vwX1c3GSDfpecA2yHd3put8Lbifh3esxHo97nRofdXmYftOanchN5CY/5KbRSqVSsizL6zC+W/t+aphsMu7c1K5cLqtWq6larUo66G/I3b6DIjf1d5ScepzcJB28F8vlcsfnP+gywmGmnSUxxwm517wTxLIsxePxno4DbdvW/Py8dnZ2ekKGpIm4JhcnW79OIoFp4hZSKFgA04HshCiQmzAryE2YNifmDCfbtr1qZr8dTr1eV61WUzwe944SDDvih3s0o7tzMcMwpn6kCIyeexQVmAVbW1sdw4ADGB+yE6YBuQmzhNyEaTPxBSf3coPLly8fekp2tVrVtWvXOi4NqNfrSqVSvqekBuk3QsdxRu/AbGo0Grp27ZoX9jc3N9mRYGa4I6QAGB+yE04ychNmGbkJ0+ZU1A04TKFQUKVS0erqat8Pn3utdXvfAdLBNeGtVivwGuF+3KN8wHFcu3bNu57btm0tLCywI8FM4DsUiAbZCScZuQmziu9PTKOJP8NpUJubmzJN03eHtLKyolKppGw2O9C8gjqPc3d6wDDW1tYkScViUdLwlykAJ1W5XOb9DkwwshMmEbkJs4rchGk0NQWnSqUSGGhM01Sj0Rj4FEV3VIBWq9UxfavVogM3DO2wvjOAaUVoAiYb2QmTiNyEWUVuwjSa+EvqBrW1tRU4fKR7f7+hfNu5Qyd2T29ZllKp1PEaCgAAMAHITgAAYJSm5gynQY7AWZbVcZSt33Wya2trqlQqXkeb7rT9Ot6UpPv37+uFF17Q2bNnFYvFvPvPnTunc+fO9X8RAABgYPv7+9rf3/duO46jO3fu6Mknn9SpU1NzTG1kJiE7kZsAABiPKHLT1BSc+nHDlDtKimVZqlar3ugrmUxGly9fVjab9aZNp9Neh5kLCwu6ceOGrl+/fuiyXnjhBYZuBQAgQs1mM/DMHQxmXNmJ3AQAQLRGmZtmouDUzTRNra6uHnqdbHtHmel0eqB5nz17VpL0mc98Rm95y1u8+zlSNx57e3t64okn9IUvfEEXLlyIujkziW0QLdZ/tFj/49V9pO7FF1/UO9/5Tm9fjPCMKjuRm6LH91a0WP/RYv1Hi/U/XlHkppkoOLmndI9jlBT3dPC3vOUtevvb3z7y5cHfhQsX+NKKGNsgWqz/aLH+o9V+aRaOZlzZidw0OfjeihbrP1qs/2ix/qM1ytxEBwcAAAAAAAAI1dQUnEzTDBxJxe1/gP4cAAAADpCdAADAKE1NwSmRSASOnOKGqfZRVkbF7W+Afgeice7cOX34wx9m/UeIbRAt1n+0WP/RYh88nEnITmyz6PG9FS3Wf7RY/9Fi/UdrHPvgqSk4pVKpwKN0zWaz75C8YSI4RevcuXP6yEc+wvqPENsgWqz/aLH+o8U+eDiTkJ3YZtHjeytarP9osf6jxfqPFgWnISwvL6vVavkGp2q1qlwuF0GrAAAAJhPZCQAAjNKJKjjZtu31KdDNMAxtbGwon8933F+tVmWa5kBD8wIAAEwTshMAAIjKmagbcJhisagbN27IsizvL5VKyTAMraysdIShdDotwzCUz+cVj8e9fglqtVpErQcAABgvshMAAJgEMcdxnKgbMU329vY0Nzen3d1dXbhwIermAAAwM9gHnzxsMwAAojGOffCJuqQOAAAAAAAAk4+CEwAAAAAAAEJFwQkAAAAAAAChouAEAAAAAACAUFFwAgAAAAAAQKgoOAEAAAAAACBUFJwAAAAAAAAQKgpOAAAAAAAACBUFJwAAuti2rVwup3g8rlgspmKx2Hf6RqOhWCym+fl55XI5NRoNlctlpVIpxWIxxeNx5XI5b/pqtapMJtPxnHblclnxeFzz8/PKZDKHtjWfz3ttTaVSyufzHdO0P57JZGRZVs9rdJ+Xz+eVy+WUyWSUy+Vk23bf153L5ZTP51UsFr3n93sOAACYPmQnspMvB6Ha3d11JDm7u7tRNwUAcEyVSsVJp9OOaZp9pyuVSo5pmk42m+15TJKTTqd9n2eappNMJn0fq9VqTqFQGLitpVLJkeRsb2/7Pt5sNn3bV6lUHEnOzs5Oz2PZbNYxDMP3sdXVVSedTvc8tr297SQSCadWqw3c9rCwDz552GYAMF3ITicnO41jH8wZTgAA9JHL5WRZlhqNRuA0CwsLgY+l02nV63XfxxKJhOr1uu9RLcuytLq6OnR7DcPwvd80TcXj8aHmVSgUvKOA7YrFoqrVqiqVSs/yEomECoWCUqmULMsaankAAODkIzuRnVwUnAAAQ3McRy/v3534P8dxjv1aTdNUMpnU+vq67+PValXpdDrw+e6p1UHBSZI2Nzd77puEU6vdQNRqtbz7LMtSPp9XoVAIfF4ymVQ6nT70lHYAAGbBLOUmiewkkZ1cZ6JuAADg5Ln92j09/nf+XdTNONRLP/NDeuzc8Xd17nX5ftoDhZ9kMinDMFQqlZRMJr37G42G1tbW1Gg0VKlUlM1mvccsy1IikTh2u4+rWq1KUkc/CW5Y6hcUJWllZUWZTEb1et173dVqVa1WSwsLC2q1Wtre3lYmk+lYLwAATJtZy00S2YnsdIAznAAAOEQ6nZZhGCqXyx33W5alpaWlQ5+/vLzsBRBXvV5XIpHwThtvPyrXHjSiYNu2yuWy8vm8KpVKR1u2trYCTz1vZ5qmJKlWq0k6WFe1Wk3ZbFbpdFrZbHbo09QBAMDJQHYiO0mc4QQAOILzj5zWSz/zQ1E341DnHzkd2ryWl5dVKpU6jqbV6/WO20EymYzK5XJHGHKDRy6XU7FY1ObmpjevKE4JL5fLHWGo2WwqnU574cdlWVbffhe6ua+l0Wj09EuQTqenrq8CAAC6zWJukshOrlnOThScAABDi8VioZ1yfVLkcjmVy2VZluUFiUHDQ/ep4Y3/P3v3Ht7Gdd/5/wOSEmVJJkHKdmzHdqRhnMS5WiDlNEmbJhbgNOkljQ2S6XbbbhuTiNvdbTeJCTPdbZz9tZHBuN1tm+4aoNOm2+5uRSLpLW2zAaT0nsQiYed+sQApdhJfYoFD6kqJJH5/kDPEbUCQHBAk8X49jx4RM2dmzswAmC++c+acVMq+u2cYhgzDsAOyejUJHxwcLLn7lkql1N3dXRAsWk26V2KVsdbp9/s1MDCgrq4uBYNBBQIB+f3+kqAMAIDtphHjJonYidiJR+oAAKiKz+ezRxGRVt90O79puNUk3BIMBpVKpewOMtfSJNwK4Ny8w2c1W8/vh8Dn88k0zRW3Y41MEwgEJC0GT6dOnZLf71c8HlcgEFBXV9em6OATAAC4j9hpeVqjxk4knAAAqFIoFLJHRTFNs6rn8S1Wx5nxeLxkOSsoKTfiSrWsIMypmXUqlVrTHTFrGSsIGh4elrRyXY8ePWqPUmMtb92pTKfTSqfTMgzDcQQbAACw9RE7NXbsRMIJAIAq9fX1yTRNjYyMrCpgkpabhofD4ZLOMq2m4ZFIZM3NpA3DkM/nszuaLHb06NE13f2zgiUrKPP5fBoaGlI4HHZcJh6P2yPIWDKZTMHwxlZTeGv9AABg+yF2auzYiYQTAAAOMplMwV0vr9erYDBYMkxvtfr6+iSpbD8DoVBI2Wx2XSOsjI+Pa2xsrCA4kRY7tTx06NCqA714PK5kMmk3hbdEIhENDg4qEAiUNOtOJpMKh8NKJBIl+1m8nkwmYzcbBwAAWx+xE7FTvsbruQwAgBWYpqlwOKyxsTF1dnbK7/crGo1KWmwWnR+UxONxJRIJZTIZjY2Nyev1qr+/v2xg1Nvb6xi4BINBpdPpddXbMAydOnXKDlosVieTxft45MgRu2+EgYEB+w6haZp2sJhIJMoGcpFIRKlUSkeOHNG+ffvs6WfOnNHk5GTZ/ezt7S24w2mapoaGhta1zwAAoP6InYidyvHkcrlcvSuxnczMzKi9vV3T09Nqa2urd3UAAGgYXIO3Hs4ZAAD1sRHXYB6pAwAAAAAAgKtIOAEAAAAAAMBVJJwAAAAAAADgKhJOAAAAAAAAcBUJJwAAAAAAALiKhBMAAAAAAABcRcIJAAAAAAAAriLhBAAAAAAAAFeRcAIAAAAAAICrSDgBAAAAAADAVSScAAAAAAAA4CoSTgAAAAAAAHAVCScAAAAAAAC4ioQTAABFTNNUKBRSV1eXPB6PRkZGKpZPpVLyeDzq6OhQKBRSKpVSLBZTIBCQx+NRV1eXQqGQXT4ej6u3t7dgmXyxWExdXV3q6OhQb2/vquoaCAQUCoUUDocVCoXs16Zpur6PAAAAErFTtfvYcHJw1fT0dE5Sbnp6ut5VAQCs0/j4eC4YDOYMw6hYLhqN5gzDyA0ODpbMk5QLBoNllzMMI+f3+8vOSyQSuUgkUnVdo9FoTlIunU471m9ycrJknhv7uFlwDd56OGcAsL0QO5WuY7PGThtxDaaFEwAAFYRCIWUymYp3pTo7Ox3nBYNBJZPJsvN8Pp+SyWTJHTRJymQyGhoaqrqeleowODiocDisw4cPl52/3n0EAACwEDutvP5GQcIJAIAKDMOQ3+/XkSNHys6Px+MKBoOOy1tNsp0CJ0kaGxsrmVYukFqPwcFBdXZ2KhwOl8xb7z4CAABYiJ2InSwknAAAa3Z+ds7x36Ur81WXvbiOshculy/nplAopHg8XnZeNputuKzf75fX61U0Gi2YnkqlNDw8LMMwND4+XjAvk8nI5/Otr9IOdXHqb2A9+wgAAFbWKHGTROxE7LSopd4VAABsXVf/+t85znvHK67Tp+99vf36RQ9+VheKgh7Ljxr79LlffqP9+sBHjumF85fLlu25qV2P/dqb7dev+ujf6ztTF0vKLTz8kyvWv1rBYFBer1exWEyDg4P29Ewmo56enhWX7+vrUywWK5iWTCY1NDSkYDCokZERmaYpr9drz8vfjlu6urrsehuGUTBvvfsIAAAqa5S4SSJ2InZaRAsnAACq0NfXV3KnLZlMVnU3zRotJb9puBUgWaOs5DcNd7tJePE2M5lM2fnr2UcAAIB8xE6ghRMAYM3O/tbbHec1N3kKXj/34F2OZZuKyp76YPkOGsuV/dr9b1EuV6mW7giFQorFYgV3uKrtDDK/abjf71cqlbLvfBmGIcMwFI1GNTg4WLMm4dJyMFZ8h86ynn0EAACVNVLcJBE7gRZOAIB12NPa4vhv147mqstetY6yu3eWL+c2n88nn8+nSCQiafHuld/vr3r5vr4++zn/4jtfwWBQqVTK7iBzNetdjXQ6Lck5aFrvPgIAAGeNFDdJxE4g4QQAQNVCoZDdfDu/34BqWE3D4/F4yXLlmobXQjKZXHHElPXsIwAAQD5ip8ZGwgkAgCr19fXJNE2NjIysOpiwmoaHw+GSjiStpuGRSMTxDtp6xeNxZTIZjY6OViy3nn0EAADIR+zU2Eg4AQDgIJPJFHQS6fV6FQwG7f4EVquvr0+SyvYzEAqFlM1m19wMu9Lwu/F4XOFwWJOTkyWBkNv7CAAAGhexE7FTPjoNBwCgiGmaCofDGhsbU2dnp/x+vz0CyfDwcMGIKfF4XIlEQplMRmNjY/J6verv7y8bGPX29jre+QoGg3Y/AWupq1WnUChkb9sKhgzDKAmYarWPAACg8RA7ETuV48nlNqqP+sYwMzOj9vZ2TU9Pq62trd7VAQCgYXAN3no4ZwAA1MdGXIN5pA4AAAAAAACuIuEEAAAAAAAAV5FwAgAAAAAAgKtIOAEAAAAAAMBVjFJXQTwet4dKTKfTDdmrPAAAQDWImwAAQD4STg5isZj8fr8Mw7Cn9fb2anR01HFYRgAAgEZE3AQAAIrxSJ2D8fHxgqBJkgKBgCYmJupUIwAAgM2JuAkAABQj4VRBOBwueD05Oamenp461QYAAGDzIm4CAAD5ttUjdaZpKhwOy+v1KhKJOJZLJpNKJBLq6uqSaZqSpKGhoYIykUhE3d3dSiaTGh8fVzKZVCAQoFk4AADYFoibAABALW2LhFM4HFYmk9GhQ4eUTCbl9/sdy8bjcR09elTj4+P2NCsoSiQS9jSfz6fJyUl1d3erq6tLg4ODikajNd0PAACAWiNuAgAAG2FbPFIXiUQ0Pj6uoaGhinfSTNPUwMCARkdHC6b7/X5ls1nFYrGCstFoVJOTkxocHFQsFlMgEKjVLgAAAGwI4iYAALARtkXCqVpjY2MyDKNscNXf319wJ663t1eRSEQ+n88OoCYmJkr6JwAAANiOiJsAAMB6NFTCaXx8XJ2dnWXnGYahVCol0zSVSqVKAiyfz2f3SQAAALDdETcBAID1aKiE08TERMmQvRZreiaTcWxe3tPT47g8AADAdkLcBAAA1qOhEk6maa44Wkomk5FhGMpkMspkMgXzYrGYhoeHq9rWzMxMwb/Z2dm1VhsAAJQxOztbcr2Fe4ibAADYPuoRN22LUercYAVU2WxW0mIz8iNHjmjfvn2SpDNnzqi/v18+n6+q9d18880Frz/0oQ/pwQcfdK2+AAA0uiNHjujDH/5wvavRkIibAADYWuoRN5FwcuD1ehWJRNa8/NNPP622tjb7dWtrqxvVAgAAS4aHh/W+973Pfj0zM1OSuMDGIG4CAGBzq0fcRMJpiWmakuTYOeZqtbW1FQROAADAXa2trSQm6oS4CQCAraUecVND9eEEAAAAAACA2muohJPVqWU5Vh8EjKYCAABA3AQAANanoRJOPp/PbgJezAqoqu3cEgAAYDsjbgIAAOvRUAmnQCDgeKcunU7L7/dvcI0AAAA2J+ImAACwHg2VcOrr61M2my0bPMXjcYVCoTrUCgAAYPMhbgIAAOux7RJOpmna/QoU83q9Gh0dVTgcLpgej8dlGIaCweBGVBEAAGBTIG4CAAC10lLvCrhhZGREJ06cUCaTsf8FAgF5vV719/cXBETBYFBer1fhcFhdXV123wSJRKJOtQcAANg4xE0AAGAjeHK5XK7eldhOZmZm1N7erunpabW1tdW7OgAANAyuwVsP5wwAgPrYiGvwtnukDgAAAAAAAPVFwgkAAAAAAACuIuEEAAAAAAAAV5FwAgAAAAAAgKtIOAEAAAAAAMBVJJwAAAAAAADgKhJOAAAAAAAAcBUJJwAAAAAAALiKhBMAAAAAAABcRcIJAAAAAAAArmpZ7QKf+tSnlM1mXa9IZ2en7r77btfXWy//kD6jDu8V7Whq0o5mj3Y2N2lHs9PfHu1oalJTk6fe1QYAAC4ibgIAAI3Kk8vlcqtZ4NChQwqFQlrlYisaGRnRk08+6eo662FmZkbt7e3Sv/8zeVp3r2rZ5iaPdjR5tKO5STubPRUSVE3a0eTRzpb8/5fntxQns5qbChJbO1s8q0qEWdvJX0+5dXs8JMwAAPVjXYOnp6fV1tZW7+pIIm5ayWY8ZwAANIKNuAavuoVTLpfTvffe63pFIpGI6+usp9uu26uFnVfp8tyCrizkdGV+QZfnF/+/Mp/T5fmFkmXmF3KaX8jp0lzpvK2gucmznCgrkwgrSWaVJMIWl2vJS7gVli2ThCu7nXLLrpxwI2EGAHAbcRMAAGhUq0449ff316IeCoVCNVlvvXzhV3+kYpYwl1tMLl1ZyC0lpZYSUQUJqsVppX8XTVtY0OW53PI65hcKElv5f8/Z5Z224zytuK7F5hdyuriQ08UrWzNh1tLkKUhC5bfm2tm8mKjKn7ezeTHZtTxtObmV3/osf3krsWYvn7dsfll7uxWmNfMIJgBsesRNAACgUa36kTpU1ihNw3O5nOYWckWJrUqJsBWSWfnJseIkXF75Kytsp1KLsoLE28LWf9s3eVQx+bWzYvJr6THJouSX1VrMSq45Ll+UXNtZlKjLX95KlDU30YoMQG01yjV4O+GcAQBQH5vykTpAkjwej/242lZkJcwqtfSyklSX8xJVl+cWX+cnzy7PLc1zLJu33nLLL7VsW2n54iTZQk6anVvQ7BZ5BNPjUWlrrbyEVUHyzCH5taNs8qu49dfKya+yLceKlm/Zou9tAAAAANgMqko4Pfroo5qcnFRfX5/e+ta3SpLe9ra3KZlMyjAMjYyM6F3veldNKwq4aSsmzBYWlltz5SfD8hNWdrLKToaVmV5u+fnl1mHLyzgsP7/cAm1xfvnlixNkuS2WIGuyEmRLyanW/NZgJdPyXhcl0JanLU5vbWkuSKq1FrUcK51Wug5rGq3GgM2JuAkAAKCKhNNHP/pRHTlyRIZhKBaLKRqN6uTJk0qn0xoYGNCZM2f0nve8R5IInoAaamryqLWpWa1bpF1ifoJsOTlVnLCqrnVYceuy5YRZYYKs4vLzhQmy4uXLtSC7NLewqTvxz281VpwQK05a7WzxqLW5ueRxycIWX57l5col1Vo8ai1qIbazpSlvmqdwmZYmtZAUQ4MhbgIAAFi04k/XdDqtbDZrv37ve9+rjo4OnTx5sqDcfffdR+AEwLaVE2T5CarZ4mRXybTFVlvFj1cuT8t/nf8oZl6ZpXXPzs2XJOGK150vv9XY2dk6HbgV5CfFHFuH2UkrT8m0HeVahzkkwyq3OitKiBU9VklSDG4hbgIAAFi04k/B7u7ugteRSETJZLKknGEY7tUKADbYVkiQWX2POSWzSqctJ6tm5+crJNNyBctcqZBMK1xvXqIsbx2Fdd4aj1JWSlrtbCl6FLIoabXDXma5XGtRUswqb7UGKzvf4X8SYlsLcRMAAMCiFX9amaapJ554QslkUh/4wAfU3t4uv98vSTp9+rQkaf/+/Tpz5kxNKwoAjW4r9D2W3yF//iOQs3NOrcJKE16lSbPlZJqdFKuqVVj5dc/OL6h4fNbFZSVpvh6HbUXFjzRWm7gqbg1WmABbfsxyNQmw4gRaUxPJsHzETQAAAIs8uVxx2F1oenpaAwMDOnXqlE6cOFEw76677rI7xRwaGtKBAwdqWtmtgOF9AWDzmyvT6f7qWoVZCa8Fzc7N68p8zp7nlDgr//9yCzErKTc7v6D5hYqX5k2luclTlABboaWXU0IsP5FWNqG28novXzinl938orpeg4mbVoe4CQCA+tiIa/CKCadKpqenNTExocOHD7tZpy2NwAkAsF7zC6Wtulb1f17CzKncWtd9ZX7zJsNysxekj717016DiZtKETcBAFAfG3ENXldvJe3t7SVB07FjxxSLxdTf36+7777bnj46Oqp9+/YVTAMAAKWamzy6qqlZV+1orndVSuRyuZJWYKtLhi23FCtuFWb3R2a3+spr/VXF+i5dljZvOoy4CQAANBZXu8c9fvy4EomEJicnJakgSBoYGNDjjz+u48eP684773RzswAAYIN4PIuPtrW2SFe7G0as2/T0tLy/X+9aVI+4CQAAbGeu9jybSCT00EMP6eTJkzp69GjJ/IMHDyqTybi5SQAAAEnacqP5ETcBAIDtbMOHOjJNc6M3CQAAsCURNwEAgK3K1YTT1NTUimXS6bSbmwQAANiSiJsAAMB25mrCqbu7W/fdd5/Onj1bdv7w8LC8Xq+bmwQAANiSiJsAAMB25mpvnwMDA+rt7ZXX61Vvb68OHDigffv2KZ1OK5lMSpKefPJJNzcJAACwJRE3AQCA7cz14WXGx8cVi8X0wAMPFPQ7EAwGNTo66vbmAADbRC6XW/p/8bXHs9wJ9PxCTgtF83PK2cvuaGpSU9Ni2SvzC7oyv5BXTgXLXbWjSS3Niw18L88t6OKV+bwyuYJl9u5s0c6WxbKzc/OauTRXVIdlbbtadNWOZknSpSvzyl64YtexuHzHVTu0t7XFLvvc2dmSelrLdu7eKe9VO+yyT5sXy+6XJO3bs0PX7Gm1y2bOXHDct2v27NQNbbvsffvm8+fKHLPFv67d26qbvVdJWjy+T3xvpqCO+fW4du9OGfv2SFo8b198aqpkn6zX1+zZqdtedLW9rX/MnHE8b/v27NDrbmy3t3fsyR9oIbdcR0mavXBeWw1xEwAA2K48ufxIzWXT09PKZrM6cOBArTax6czMzKi9vV3/8/jXtGvvchAtLQbPLU0e/XzPzXb5z3zzeX13+qJjkB96w3677P/71vNKv3ChbIAvSe99w0vsH1Gf/dbz+kbBj4fCIP++N+63fxglvv0Dfen7MyU/RpbLvkRtuxZ/7Bx78gf64lNmyX7l18H6sfO5ky84/Hiw9u0lenH74g+Yf0yf0We//QPHH2eDr3+JDuzbLUn6l1NZ/eXXni0qt1yLe19/i15x3eKx/+J3pvRnT3yvzA+5Rb906Gbd/uLFHzCT3zX1R4897fjj7Bd6btYPvaRDkvTl78/oY/9yquzxkqR/63ux3vLSayRJ33jurD76ubTjvvXffqPecduLJEknXzivD3/2W47H7J7X3qB7XnujJOmpqQu6/6+/7vgj9Z2vvl4/1734Xnt25pJ++VNfcTzH77jtOvu9NnXhsn7+/z7uWIfAy6/Vf3pzlyTp4pV5/fQfPeb4A/FHu/bpvwReJklaWMjJH/2843vyh17SochPvNI+hv5HPq9Lc/Nlj5nvxe362N2vscu+LfZ5mRfnlMvlSurw6uuv1id+5qBd9h2jX9CzSz/ui+vy0n179Ml/d8gu+84/fGzpB/tyXa3139S+S58NvcEue88nTuirz54tOF7W3/t279QXf/VH7LLv/pNJPfbUVNlzt3tHs74RXh4C/ef/T0qfS58pe9w8Hul7v3GXXfY9Y0/o0197zvE9/PR/Cdif+/s++WUdfeL7ju+JzAcPa9+enZKkX/2Lr+rjX3zK8bvnWw/caScjwp/+uv77P2Uc3z9f+cBb7ATDb3zmm/rNpHPrjcd+9UfUc7NXkhQ5flLDf/sNx7J/f98b9eaufZKkj/3zKf3Hv/iqY9m/ec8devvSZ+4PH3tK9459ybHs2M91K/i6xc/c0Se+p5/505Rj2U+8+3b7+/3TX39OP/WHjzmW/YO7X6P73rhfknT8yRfkj37esezIT7xSH3jL4mfui9+Z0ht+/58dyz5418v1G3ctfua++syMXvvb/+BY9v63dNmfucyZ83rpkeOOZX/5jfvtz9xzZ2d1w4c/61j23x26WX/Yf7sk6dzsnNp+/e8cy/a97kb92c91S1r8jmgZ+rRj2R+/7Tr99Xteb7/e/cDf6NLcQkGZNs9lTT8c1PT0tNra2hzXtVk1cty0Vc8ZAABb1UZcg11v4ZSvvb1d7e3tKxfchu771Ffkad1dMn3PzuaChNPv/VNGn/nWD8quw+MpTDg9+oWn9MmvPOO4zfe8/ha1LP6W1P9OfU9/Mvldx7I/33OT/cPzU195RtHPf8ex7M8cvNFOOP3dN5/X7/yD8xDN97zmhoKEU6Ufkz/1quvthNPnvzOljxxzLvv2l19nJ5we/960Hv57505UD7/0Gjvh9LXnzup3/+mUY9k3H+i0E04nXziv//Gvpx3LvuElHXbC6Snzoh794lOOZbtvarcTTs/MzOoTE087ln3NDW12wunM+cv636nvOZZ9xXVX657XLv49c2lO4192fj90LbUwkKQLV+b1F1991rGslSyQpMvzOf3NN553LHv9UosIabH1QuLbLziWvWYpYWH5+/QZx7Jtuwq/jv71dLbkx6TlqpbC7udS353WmQtXypZtaSocJv1rz53V0+alsmUXijb35Avn9c3nz5UtO1tUt6fMi3ryhfKtK87NzhW8fmbmkk5PXSxbds/O5oLXL5y/rO9Nl69v8QjwMxfn9IPzl8uWLXbh8rzMi+WPmVSYxL08v6ALV+ady+Zln+ZzOV2Zr9l9jE2r+Fx4VPjes+Z7tPhH/tuyybPY6ip/vl3eI+1oXi7c3OSxPyvWVKsVmEfSrh1NBWXzP4PL5Rf/37Nz+TPX7PHohrbW8nWQ7BZWi+uVbln6zsgvY9Ulf5tNHuml1yx/F+UfJo9Hun5pm5bbrttbtN7lutzSUXhNfc0Nbfbn0ONZ2v+FWTmn7ja/Ro6bAADA9lPTFk4zM4tN7hvpjpWVJQz83jHtuGpPSXC9q6VZ47/QY0/78Ge/pce/N7043y63/IMk/gvLrS0e/vu0vvidKXtdxcv88c/crtaljNP/+JfT+pfT2YIy+cv9wd2vsZNIf3ziaX3u5AtF613ewEd/4pV2S4exJ76vz377Bw51WLy7bj2i8ddfe1Z/983lxEX+jyJp8e76SzoXf0Akv/0D/fXXn3Pct1954351Lf1o+ZdTWf35V58pqGf+Mr94x812wmniaVOfykvSFe/fu2+/Ua++YfH9+dVnZuwETvEPM488euerX2Q/zvHkD87p6Je+X1JP6/XbXn6tfDd5JUnfyV6oWPbNxj4dumWx7DMzl/RnT3zPcd9ef0uHXr+U9Dpz/rL+7+PfK7tfHo90+41tesP+TknSzKUr+rMniuuwvMxtL9qrNy6VvXhlXn9mr9dTskzXvj1604HFslfmF3TUWm+Z83aL9yq7bC6X0/iXnnEoK11/9S67rCT95Vef1UIuV3bf9u3eWVD2/33reTvJ4Slaf/tVO+x9k6R/SL+Q9yPVU1CHPTtb7KSitNiaxEq05JfzyKNdO5p0xy3LZR//3rTOX54rqatH0o7mJruljiR9/dmzOlemrLSYJDj44uUfnCdfOK+zs1ZZFZT1yKPX3rj8/frU1AWdnS2sb375l1+7137s7JmZS2XWu3y+93fuVvNS2RfOz+rspfmibS+v+8a2XXbryumLV+x9K7d/1+zZqR1LZc/NzunC5aL15u1b+64We70Xr8zrknUuyrwvd+9otstemV/Q5byE4PK6F//Y2dxk79v8Qk7zCzmHffOoybO8XP7l0pqGzWWrt5Zp5Lhpq54zAAC2qo24Btck4TQ8PKxYLGb3ReD1evXBD35Q73//+93e1KZD4AQAQH1s1WswcdPWO2cAAGx1W/KRup6eHqVSKQWDQRmGIUmanJzU/fffr0Qioc985jNubxIAAGBLIm5atP83E/K07inb0vD/Df6Q3fLzY/98Sr+Z/LY9r7CsFP/5Hrt17ydOPK3/8plv2tsobiX6iXcf1FuXHn8f/9L3Ff7015fLegpbZ/7+T7/a7vvtb7/xnP7TX34tr2zh+o/8+G366VffIEn6+5Mv6Fc+9ZWicsvr/nX/req//cWSpMeemtLg+Jcd1/trbzbsbhm++syMfvHoE2X2bfGvgR+6Rfe+/iWSFvto+7f/53HH4/BvDt6kX37TfknS96cv6Wf+dLKkDla93/nq6/Vrb158n05duKzgH0+UPV4eSXe9/Dq7/7mLV+b1rj864bBe6UeMfRo+fKukxf7c3vlHj+XN9xQs132T1+6rTlrsF/Hy/ELBvlllX3V9mz78tpfb094z9oTOLQ3+kN9S1WrB/Ztvf4U97T/8+VeUXXpcv7j19Iu9V+nIO26zyw7/7Tf0zNLj78XH7Jq9OzWS10fl/5f4tr6z9Fh98XG4urVFv/1Tr7Kn/fbfp3XyzPky++ZRa0uTfiev7P/819P6xlI3AMXHwSPpv73z1fa0T5x4Wl9+ZqagbP7787fe/gp7wIyjT3xPqe9Olz1mkvSfD9+qPUuDYPzV157VY0t9vRbvmyS970e77Ee0P/ut5/X5pSc3rO3mL/feN7xE1+5dfOz6H9Iv6J9PZQvqkF/vX+i52X7C4ovfmdI/ZM4UlVlepv/2G3XT0mPhT3xvWp9LL3cNUVyHd77qeu1fehrj68+e1fGTeWWLPs9ve/m19tMY6RfOK/nkD/LKFtb5R7v26WXXLj5C/tTUBbt7inLffz/0Eq/95MYzM5eUKHnSZLnOB29s1yuvXyx75vxl+6mU4uMlSa++vk2vWio7ffGKvd6CdS/98bJr9thPhJyfnVPyydLjYG1jf+duvWap7OzcvJIV9u3F7bvssnPzC/bxLXeOr9vbapfN5XIF3XQUv987d++0y0qL3XRYA88Uf5+079phHwdpsU/fufnClu/Wcnt2NtvHV5K+8sxMwXdPcRcH1nmTpG89f66gG4D8ZXY2e3Tr0vtBkk6duWD3Y1tch+YmT0FXBd81L9pdkBQfhyaPx37/Sot9cF7K6yLD45HOzlxQrbmacHrggQdkGIaOHTtW0geBaZoaHBzUo48+qnvvvdfNzQIAAGw5xE3Lpi7OybNQvl8567FXSTp/eV7Pn3Puqy6/D7lzs3OOfeBJKgi8z87OOfatZ203v6xTn32S7NEsJenc5Xk7CVBONq//wXOz83YSoJz8/T5/eV6TS0mAcn58KTkmLfbZ94W8H/bF3pT32PmluXn909IP+3Lyf5hdns/pcxX6Zrwpr3/I+YVcwY/fYlY3D5ZKfUkuFD2c8Vdfe9axz8epov4d/+qrzzr2+XjHzd6ChNNffe1Zxz4fX/WiqwsSTn/51Wcd+3w80Lm7IOH0V1971vHcXbd3Z0HC6a++9qzj+dizs7kg4fTXX3u2Yr+w+Qmnv/n6cxX7hf2vP7acpPvbbzxfsV/Y9/+oYSec/u6bz1fsF/be19+ynHD69g8q9gsbfO0NdsLp2JOV+4X133qtnXD6+/SZioOMHLrZa783//lUVu//q687ln3ZNXvsH+xfeGqq4oAkYz/XbSecJr5r6r5PfsWx7CfefbudcPryM2c1MP4lx7J/cPdr7MTFN547p3/3Z084lh35iVfaCZGTL5zXz/5v54FOHrzr5fbn+Wnzovr+ZNKxbP4gI8+dm9W7PnHCsWz+ICPmxTn9ZIUBVPIHGbk0t6AfG/2iY9n8QUZyOenwI849NhYPMrI4EFH574i3du3TsfveaL/+sdgXKn5HfCFvEKCf+PgXK35HfOX+t9iv3/WJExW/I9IfPGy/7vuTiYrfEc8++Db79c/+71TF74izH3mH/foX/+zxku+I3OwWSzhlMhmNjY2Vnef1ejU2Nqb77ruvIQInAACASoiblp34tR/W3qvblke4zMspWIOGSNIv3XGzfvy26xxHaM0fMKP/9hv1pgOdjqNx3pp3l/gnX/kifeE//nDROpfll73zpdfon37lTQXbza/vy/LuVL/hJR06/t43lN3+Ytnl9d7+4jZ9dvCHHEcafdk1y+t9+XV79TfvucNxFN789d7ScZX+4hcPFZVbrsRL847ZdXtbNf7z3QVl89fblXcu2ne16P/8rK9gfn69jbz1trY06X/9zMHSEXuX/n9Jx3JyyuORPt73OsdznD/QiST9/rteo/lcrqCfPevPG9t3FZR96MdfqUtz82X37UV7Cwcx+I3Ay3V2dq7sCK37dhcOivKBt3Qpe+FKwTmzyrYXDYryy2/cb4+Wu7jO5S3s3lE4cMgv3nGLDt96bdk65A8oIUnvPvhidd/sLdq38j2nvPPV16vrmj2Fxyxvfv6gFz/2iut07d6djqPP7mpZrvNbu67Rzuam0vfw0oS9rcvH4g0v6dB73/CSonUu1yF/sIrum7x6z+tvKSiTv2/5g1W8+vqr9Qs9NxWVXXbd1ctlX3btHv2s78WO+3ZD3kA5Bzp3q+91Nzp+n7w477324vZdeterry+7TqnwPXzd3p36iaUEcbnvk1vyynbu3qG3vfxax+OQ/zlq29Wiw7dek/dZK6x3ftndO5v1ZqPT8Ti8JG/QjtaWJr1hqb/Tcp/7/BY1LU0e9dzUXqZsaR2aPNLrbmwrmJ+/f8Wf+1e96GrHEcCtQakst167R5euLJTdt+LviJd07FbbritlPxvFA53ccPWughGs8+ty7d7C74hr9uzUi65uLfs91bm7MOHevmuH9u3eUfAey+XNy7dnZ7PadrWUHc26+PuktaXJHqTGKr8w36RZ1ZarfTg98MADeuihhyqW+ehHP6r777/frU1uOvRFAABAfWy1azBx09Y7ZwAAbBdbsg+nlVj9E+Q7fvy47rzzzo2uCgAAwKbWKHHT/t9KqL2tXXt3tujqXS26urV58e/WFu1pXfz/6tZm7V36e3Fes67e1WKX27tU5qodzYwkCQDAJuBqwikQCFTsa+D48ePq6OgomR6NRrdd4AQAAFAJcdOyqQtzMued+1BajSaP8hJTzUvJqhZ72p7WvGlLCa5y5fYuldu7s0VNTSSwAABYLVcfqevr69OxY8dkGIY6OzsL5mWzWWUyGfX09JRMT6VSmp+f13ZA03AAAOpjq12DiZuWz9kXv/1dqXW3zs7O6ezsnM7Nzi/9P7c87fK8zhVPs8pdXvy7VnbvaHZMTJUksPKSVQUJrJ3NS623WrSjualmdQUAoBpb7pG6ZDIpwzDU0dGh4jxWR0eHuru7S6a7mO8CAADYMoiblr3iRVevO9hdWMjp/OV5nbs8V5Ssmrf/Pnd5Tmcv5SeprHKlCa6zs3OyBsi7cGVeF67M6zkX9lWSdjY3FTwiWNyiam/ryi2v8lto7Wpp4jFCAMCm42rCyTAMTUxMrHq5vr4+N6sBAACw6RE3uaupybPYgmhXi25wYX25XE6X5hbKt6gqanllTTtXpuXV2UvL5WaXhua+PL+gMxcWHIffXq3mJo+dnCrXompPlS2v7H6zdjbzGCEAYN1cTThFIpE1LTc8POxmNQAAADY94qbNzePx6Kodi52QX7u3deUFqnBlfsG55dXsYuurwhZahY8RLs5bTnCdv7z4GOH8Qk7Tl+Y0fWnOlXpKi8Nt53fGbiWjrt5lJbCcW2iVTOMxQgBoSK4mnE6dOrVimf7+fh09erRg2sGDB92sBgAAwKZH3NR4djQ3qWP3TnXs3unK+uYXcrqw1MKqXIuqktZYVgKrQjnrMcLzl+cXE1pnZ12pa2tLU0GLquLE1N68Vlf5Hb6XTWq18hghAGwFrnYafuutt+rJJ590nP/444/L7/frzJkzbm1y09lqHZYCALBdbLVrMHHT1jtn210ul9PFK/OFjwTOLianShNYy62v7HL5rbaWXl+eX6hJXZubPA6JqeXkVX4n7nuXyi4/Slg6nVZYABrJlus0PJ1O6+Mf/7je8573lMwbHh5WJBLhTgQAAICIm7D5eDwe7d7Zot07W3Td1e48Rnh5bsFuUXUuvzVWUX9X+Qmuc2UTXItlL1xZfozQvHhF5kV3+sGSFjtz35v3+GBxQmqPlaQqmb88fW9RK66dLSSxADQuVxNO7e3teuSRR9Td3a3bb79dknT8+HGFQiFls1lFIhFFo1E3NwkAALAlETehEexsaVJny051uvgY4fnLhUmocokp6+/FRwOL+sS6vPR44dL/Viusy/MLyl5YUNalztwlaUezp2xCympptafM9MKkVun0Vh4nBLBFuJpwOn78uA4ePKiPfvSjkqRoNKpoNKpgMKjR0VG1t7drcHDQzU0CAABsScRNwOo1N3nUtmuH2nbtcG2dl+cW7CRWfiLq3GXrkcH5ghZZ5y7P6XzedPv/vJELrREJr8znNHXxiqZcbIlljUqYP9JgfkurPVU8PmhNo08sALXkah9O+d773vdqfHxcsVhM99xzjz399OnT2r9/fy02uSnQFwEAAPWxla/BxE1b75wBlVyZX9D5y0UtqvISUsXTz12e1/m8RwsLEl9L0y5eqU1/WJLU5FGZxwOXWlrtKnyc0OnxweLpu3c2k8QCNrEt14dTvkceeURer1eBQKBgejgcLhltBQAAoJERNwHby47mJnmvapL3KvdaYuU/TljQAquoVVb+iITnV2itZfWJtZCTZi7NaebSnGv19XikPTuL+rzKS0jtyXtksOTxwZ35nb8vz9+9o1lNTSSxgK1izQmn/v7+FcuYpqnu7m75/X5JUjabVTKZXOsmAQAAtiTiJgDrVYvHCecXcrpwufLjg+fKPD54vqS1VmGrLUnK5bSU+JrXs2dnXavz7h3Ni48O5rWq2mN37L48fc/OpcRW3iOFVgIsv7z1mkQW4L41J5wSiYQMw1BnZ2fFcgcOHFA6nbZfm6a51k3WxcjIiLxer6TFug8NDdW3QgAAYMshbgKwGTU3eXT1rsXH5tyysJDTxSvzFR8fPFfm8cHzZTp1z098WR3BXLhitcy67FqdJemqHU0FyajlhNRi0mpPmeTW3vzkVl6SKz/51UwiCw1szd8shmFoYmJi1cv19fWtdZMbLhAIKBKJyOfzSZK6urpkGIaCwWCdawYAALYS4iYAjaKpyaM9rS3a0+peEiuXs5JYi6MOWv1jnb+8/Djhefv/5ZZZVuut83ktsYqXtRJZF68s6OKVy/rBedeqLUna1dJUMUFVrrWV/dhh/rylPrb2LE1vaW5yt6JADaz5WyASiaxpueHh4bVuckPFYjEZhmEHTdLiPhM0AQCA1SJuAoC183g82r2zRbt3tkhqdW29uVxOl+YW7L6wzl+2klJ5La/yE1RL/5+/XL58frJrYSmRdWluQZfmLusFlxNZrS1NBa2piltn7c5rnVWu9dXevFZb+cmvHSSy4KKajVK31XV0dGh0dHTVgRKjrQAAUB9cg+uHuAkAluVyOc3OLSw/KljUqsqphdb5vCRWufLnLs9rfqG2P993NjeV7RvLSkztthNUxS2yrL+Xk1fWY4V7djartaWJUQs3mU05St2pU6d07Ngx9fX1bbrAwDRNhcNheb3eincSk8mkEomEurq67L4R8vsYME1TpmnK6/UqFotJktLptEKhkAzDqOk+AACA7YO4ibgJQOPxeDzataNZu3Y065o97q03l8vp8vyC4yOE5RNa88uPFxYkuQrnzy0lsi7PLyh7YUHZC1fcq7ikJo/KJqLyX+8uO2/lv69i9MJNa9UJpwMHDiiXy+nOO+/Uvn37FAqFdPfdd9eiblULh8PKZDI6dOiQksmkPbpLOfF4XEePHtX4+Lg9LZlMKhAIKJFISJIymYwkKZVK2QGVaZo6cOCATp06ZXeGCQAAUAlxE3ETALjF4/GotaVZrS3N2rdnp6vrvjy3UNq6qlw/WUWPEJ7PT17NLs8/v9Rf1uzcgiRpISedXeosvhZ272h2Tky1Ni8ls0qTXNX8Tcfva7euR+pOnTqlaDSqeDyu7u5uhUIh3XnnnW7Wb9W6u7vV09OjaDRaMq9S8GPVf3Bw0A6kxsfHC5qGBwIB+Xy+incBaRoOAEB9bPZrMHFTqc1+zgAA6zO/kCtIQFX39+LrC5fn7ccMy5VbHK2w9lpbmlZMTO1eofWW0987W+rXZ9amfKQu34EDB/TQQw/poYce0uOPP65oNKpQKKRgMKhQKKT9+/e7VE13jI2NyTCMsnfa+vv7FY1GNTg4aA9ZXNwM3Ov1KpVKbURVAQDANkPcBABoNM1NHrXt2qG2XTtcX/fCwuLohatLZi3+fcEhyZX/t9Vd1uzcgmbn3H/MUJJamjwrJqmck1kOfy/1o7VrE/Sb5dpYlQcPHtQjjzwiSfrkJz+poaEhnTp1Sv39/RocHNwUd63Gx8ftoKiYYRhKpVIyTbNghBUAAAC3ETcBALA+TU0e7Wlt0Z5W19IaNqvj90rJq+VRC4taXq3Qcuv85Xm7z6y5hZymL81p+pL7jxo2eWQ/Spj/yOHi3y3auXDR9W0Wc//MSLrnnnt0zz33aHp6WmNjY3a/Bb29vbr33ntrscmqTExMqK+vr+w8665cJpORz+eTz+ez/7YQVAEAALcRNwEAsLnkd/zudn9Z0nKfWdU+XrhyMqt8v1nnZud1brb8o4e52Quu71exmiScLO3t7RoYGNDAwICmp6cVi8XU09Ojrq6uuvRbYI2gUokVLEUiEUUiEbsvgkwmo0wmU9BpJgAAgFuImwAAaAw7W5q0s2WnOna7v+65+QVdyHvUMP/xweXpczozZeqBj7m//Xw1TTjla29v1/3336/7779fjz/+uI4eParBwUEFAgGFQiHdfvvtG1WVsqyAKpvNSpI9Yks4HNa+ffuUTqeVSCSqHmllZmam4HVra6taW1tdqy8AAI1udnZWs7Oz9uvia+9WRtxE3AQAwFq0NDeprbmppN+s0ripWQ/Uui41Xn9ZBw8e1MGDB/X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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "n_params = len(survey_params_dict)\n", "n_cols = 2\n", @@ -175,7 +195,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 381, "metadata": {}, "outputs": [], "source": [ @@ -199,7 +219,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 382, "metadata": {}, "outputs": [], "source": [ @@ -209,7 +229,7 @@ }, { "cell_type": "code", - "execution_count": 59, + "execution_count": 383, "metadata": {}, "outputs": [], "source": [ @@ -225,21 +245,21 @@ }, { "cell_type": "code", - "execution_count": 60, + "execution_count": 12, "metadata": {}, "outputs": [], "source": [ - "s1 = Survey(**survey_params_dict[\"1\"])\n", + "# s1 = Survey(**survey_params_dict[\"1\"])\n", "s2 = Survey(**survey_params_dict[\"27\"])\n", - "s1.add_ffp(1)\n", + "# s1.add_ffp(1)\n", "s2.add_ffp(1)\n", - "diff_rates_mw1 = np.array([s1.ffp.differential_rate_mw_mass(m, efficiency=s1.efficiency, tcad = s1.cadence*2, tobs=s1.obs_time) for m in ms])\n", + "# diff_rates_mw1 = np.array([s1.ffp.differential_rate_mw_mass(m, efficiency=s1.efficiency, tcad = s1.cadence*2, tobs=s1.obs_time) for m in ms])\n", "diff_rates_mw2 = np.array([s2.ffp.differential_rate_mw_mass(m, efficiency=s2.efficiency, tcad = s2.cadence*2, tobs=s2.obs_time) for m in ms])\n" ] }, { "cell_type": "code", - "execution_count": 62, + "execution_count": 13, "metadata": {}, "outputs": [], "source": [ @@ -251,7 +271,7 @@ }, { "cell_type": "code", - "execution_count": 72, + "execution_count": 14, "metadata": {}, "outputs": [], "source": [ @@ -261,7 +281,7 @@ }, { "cell_type": "code", - "execution_count": 76, + "execution_count": 15, "metadata": {}, "outputs": [], "source": [ @@ -301,12 +321,21 @@ }, { "cell_type": "code", - "execution_count": 82, + "execution_count": 28, + "metadata": {}, + "outputs": [], + "source": [ + "# np.savetxt(\"tess_dat/gamma_of_ms.csv\", np.array([ms_limited/3e-6, gamma_of_ms/np.sum(gamma_of_ms)]).T)" + ] + }, + { + "cell_type": "code", + "execution_count": 63, "metadata": {}, "outputs": [ { "data": { - "image/png": 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vHA6H3G63nE7ngMc2Njaqvr5eDQ0N4cfcbrcKCwvlcrmGVUd/6urqZLPZVFZWNqxjAAAAkDgswWAwGOsXbWtrk9/vl9Vq1axZsww9d35+vgoKCvrtr/b5fMrOzlZbW1v4psjjn1deXm5oEA69XktLy4A3XA7mGEkKBAJKT0+X3+8f8CZXAAAAmCeSvGb4SvhghPqiOzs75fF4VFFRYXgY78/atWtls9lOCuDSsVnltbW14RDudrsHfaPk8avqxystLdXGjRtPGa4HcwwAAAASiykhPC8vT3l5eeHPI50rPlQNDQ3KzMzs9/dsNps8Ho98Pp+sVqucTucp21pOJzSG0G63D+sYAAAAJB7DRxRGav369fJ6vTF5rebm5gFXnEOPG1FLY2OjCgsL+4Trurq6iI8BgGgJBoPqOnBEr72/T2/s3add/oPyHzyqnt6YdygCwKgUtZXwNWvWqLa2Vl6v97Sj92I1Hzu0yn0qofGKQ+V2u9XU1KSSkpLwTqAnBvvBHAMARggGg9qyO6A/v7FX2/bs0y7/Ie3yH9K7/oM6eLS33+eMH5OkjPFjdfm5Vl1jy9SnbFm69Ow0pSSbvm4DAAkjKiF88eLF4WBts9mUnZ3dZy52qCfcbrfr3nvv1U033RSNMiISCufD2b3T5/OpuLhYPp8vvC19SGjyymCOOZVAINDn89TUVKWmpg65ZgCJp+vAEbne+lB/fmOv/vzmXr2/7/CAx2ZOGKNgUNp3uFvdH6+CHzzaq4NHD+mxV9/XY6++L0manJqiq2dlyHnemfpKwXSdMZHvOwBw+PBhHT789++xJ+a0UzE8hG/evDk8AnDhwoXhx5cvX66qqqo+x65bty6hVoAHmgEe6TGnMmPGjD6ff/vb39Z3vvOdIZ8PQOLYssuv/964XY+++n6ftpIJY5I1b/YZuio7Q+dax2t6+nidkz5O09LHafyYZEnHVswPd/fqoyPd2neoR7sDh/Rce6ee8Xbo2bZO+Q91689vfqA/v/mB/uOJN7To0mlafNUsXXGuVRaLxaw/MgCYasWKFfrud787pOcaHsKrqqq0cePGPjdeSur3m/TChQu1ceNGrV+/3vTV8FDLzEA3bsaLd955p8/IG1bBAby4s0v/5d6uP76+J/zY3CmTdN0FU3T9BVN0jS1TqSnJpzyHxWLRuDHJGjcmWWdMlLKzJujq7Ewt+8xs9fQG9cp7Af3V26GHWt5Vy7t+Pdjyrh5seVf2c9K1+KpZuiVvmiaMNeVefwAwTWVlpb7+9a+HPw8EAictmA7E8O+YGRkZJwVwaeCe5/nz56uystL0ED5SpKWlMSccgCTp6dYO/cD9ltzbP5QkJVmkksvO0fJ5s3Xx2cZ9n0hOsuiyc9J12Tnp+tdrbGp626efP9+m323ZLc8uv0obturbT76pFZ+7QLflTVdSEivjAEaH4bQFG36XzUC7XxYUFGjTpk1Gv1xEbDbbgD8MhHrBmdcNIN75Dh7VVx7x6B/uf17u7R8qOcmirxXM0LZln9HDt9kNDeD9cZxr1S9vztO7/1+hVn4+VzMzxmt34JC++tstuvInz+i5tqHfWwMAo4XhIXygDTiLiopUXV3d7++dbnqKUex2+4CvFQrnzOwGEM82vLlXF9/3Fz3k2aUki1R65bnavnyefnHzZTrvzEkxrSVr4lh98x9y9Pqyz6jqc3M1OTVFze/6dU3Nc7r5wRa1dx6IaT0AMJIYHsIdDkd4xXvTpk267777JEnZ2dlqbW3Vj370oz7Ht7W1qbm52egy+lVYWDjgSnhra+uwNucBgGjaf7hb/7juZV23+kXt8h/S7DMm6uklV6u26FLNypxgam3jxiRr2Wdm663l83T3FefKYpHWbt2tuSuf0o/+0qpeZo8DwEkMD+ELFy7Uhg0btH79ehUVFamiokLr16+XdOymzaVLl+q6667TmjVrdN9996mgoCBm4XfRokXq7OzsN4g3NjaqvLw8JnUAQCSeb+/UZf/vr1r1t52SpCVXz9Lmf/+UrpoVXzeSnzU5VXXFl8rz75/SvNln6HB3r5b+cZu+8IuXtPcUYxIBYDSyBAfqHxmmdevWyeVyqbOzU2vWrAnfTFheXq7Vq1fLYrEoGAzKarWqvb3dsJsNc3JyZLfb1dDQ0O/vNzY2hkcoHv9YbW3toOZ0myUQCCg9PV3nnXeekpOTtWTJEi1ZssTssgBE2W+a39Hda7equzeoGdZxemDRZXKed6bZZZ1WMBjU6hff1r899qoOdfdq6uRUPXhrnubPif/aASBSNTU1qqmpUU9Pj9566y35/f7TZtuohfBTcbvdamxsVE5OjsrKypSenj6s861cuVJNTU3yer3hHSidTqesVqtKSkpUVFR00uu7XC7l5OSEe8SXLVs2rBqiLRTCB/OXCmDkCwaD+uFfWrX8T69LkhZdOk21RZcoffwYkyuLzKvvBXTzQy3atucjWSzS8nmz9d1rz2f3TQAJKZK8ZkoIR+QI4cDo0dsb1Nf/8Jp+8kybJOkbn85R9efmjtjRfweOdOvfHn9Na158W5J01awMrf+qQ1Mms88BgMQSSV5jKQIA4sjh7h7d+rAnHMDv+0KufviF3BEbwCVpwtgU1RVfqt/dnq+0cSl6vr1Ln/75c3rHd9Ds0gDANDEP4e3t7Wpvb1cgEIj1SwNAXPMfPKrPrn5Ra7fu1phkix6+za6vfzrH7LIMs+iyaXrxX67RDOs4vfnBfl3zs+f01gcfmV0WAJjC8BC+ePHiU/6+y+WSy+VSbW2t7rnnnvAIQwAYzQ4c6db1a17UU60dmpSarD/ddYVuyTvH7LIMd/6USXpmydU678yJett3UJ+qeU5bdvnNLgsAYs7wnvA5c+Zo+/btgz5+8+bN2rhxo775zW8aWUbCoSccSFw9vUEt+k2zHn31fWWMHyNX+ZWyT7eaXVZU7d13WNetfkFbdgeUPi5Ff7zrCl2dHV8jFwEgUqb2hEea6fPy8tTa2mp0GQAwYnzjD6/p0Vff19jkJD12hyPhA7gkTZmcqk2Lr9LVszLkP9Sta+v+piff3Gt2WQAQM4aHcIsl8puHBtrFEidzOBzKzc1VTU2N2aUAMMD/Pu0N34T561su0zW2LJMrih3r+DF6suxKXXf+mTp4tFc3/LJJm7Z/aHZZABCxmpoa5ebmyuFwDPo5hrejZGVlqaOj47THBQIBeb1eVVRUSJKefPJJI8tIOLSjAIln/Svvqfg3zQoGparPzdWyz8w2uyRTHOnuVcmDzXr8tT2aODZZrvJP6MqZGWaXBQARi0k7yqJFi1RQUKDMzEwlJyeHP3w+X5/PB/rIyMhQfn6+vF6vamtrh1oGAIxIf2vv1O0PexQMSvd8YqaW/kPiTEGJ1NiUJP329nw555yh/Ud69Nk1L+rl3UzQApDYDFkJd7vdqq6u1saNG2WxWDR//vxBPa+wsNCQHTNHA1bCgcTh7divK3/yrD7cf0SfmztFj37NwQ6SkvYf7taC1S/o+fYuTZk0Vk8vuVrnnTnJ7LIAYNBM2zGzvLxcmzZtimg6CgaHEA4khu6eXn3q58/rhZ1dyp+erqcWX6VJqSlmlxU3fAePat79z2vL7oBmWMfp6X+8WjMzJ5hdFgAMimnTUWprayOejgIAo0nVUzv0ws4upY1L0bqvFhDATxC6WfOCKZP0ju+QCute0PuBQ2aXBQCGM/z9z9CNlgCAvlre9el7G96SJP3sxot1bgYrvP05c1KqNpRdqZkZ47Xjw/26fs2LChw6anZZAGAow0N4aWmp0acEgBHv4NEeffmRzeruDar4krN1mz3xdsM00nTreLnLP6Epk8Zq6+6AFv66WYe7e8wuCwAMY3gI37JlS5+P9vb28O+1t7drwYIFSk5OVlZWlkpKShQIcAc8gMS3/E+v6429H+nstFT9fOElQ9pTYbTJOWOi/nT3FZqUmqyN2z/UHb/bot5eWh4BJAbDQ7jL5VJ+fr6Ki4tVX18vn88nSfL7/bLb7XK5XKqqqpLb7VZxcfGgJ6ngGDbrAUYe11sf6KfPHtuQ54FFlylr4liTKxo58qdbte6rDqUkWfS7Lbu19I/bzC4JAE4SF5v1bN68WfX19aqqqurz+KJFi7Ru3Tq5XC7Nmzcv/LjH41FDQ4NWrFhhZBkJh+kowMjUeeCILrnvr9odOKTFV81SzU0Xm13SiPRQy7v6ym83S5J++PlcfWMUz1UHEL9Mm44iSWvXrj0pgEtSY2Oj7HZ7nwAuSXa7nYkqABLWP61/RbsDhzTnjIla+bm5ZpczYt2eP10rP58rSVr6x2162POuyRUBwPAYHsIzMzNPemzjxo2SJKfT2e9z6I0EkIh+/9r7+t2W3UpOsug3t+RpIuMIh+Ubn7bpX6/JliTdWb9Fm7Z/aHJFADB0MdmizeVyyWKxDNgnE+obB4BEceBIt/71sVclSV//lE1XzMwwuaKRz2Kx6EdfuFAll03T0Z6gin7TrDf27jO7LAAYEsNDeEbGyf/QuN1uSQOvhNOOAiDR/PfGHdrZdVAzrOP0n4XnmV1OwkhKsuiXJZfpEzMz5Dt4VF944CV9uP+w2WUBQMQMD+E7duzo87nf75fH45Hdbu+3QX3NmjUqLi42ugwAMM2bez/SD/9y7Hvh/37pItpQDDZuTLIe/ZpDszLGq7XjgG76FTPEAYw8hofw8vJylZSUaN++fWpvb5fT6ZTFYlF1dfVJx1ZWVqqlpYUxhQASRjAY1D8/+oqO9gR1/QVTdMNFU80uKSFNmZyqP951hdLGpejZtk6VNbzMu6oARhTDl2eys7NVXFysmTNnhnu9a2trw1NR1q1bp9raWm3cuDH8DdNqtTKiEEBCWLt1t9zbP1RqSpJ+csNF3HgeRblTJ6vhKwX67JoX9WDLu5pz5kR9y0nrD4CRwfA54cfz+/1KT08/6bHOzs6Tjs3Ozo5WGQmBOeFA/Nt3qFtzVz6l3YFD+va15+nb155vdkmjQu3f2rV43SuSpN/eblfJZeeYXBGA0SqSvBbVRsUTA3josf4ex+A4HA4lJydryZIlWrJkidnlADjOdza8qd2BQ8rJmqCKz8w2u5xRo/wTs/TWB/v1P097dcfvtmj2GROVP91qdlkARpGamhrV1NSop2fw96cMaiW8srJSs2fPVnFxMauwJmElHIhvr7wXkP1/nlZPb1B/uutyXT/3LLNLGlV6eoO64Zcv6U+v79UM6zg1/eunNGVyqtllARhlDN8x02azacWKFcrIyNCCBQv06KOPGlIoACSC0M2YPb1B3XTxVAK4CZKTLHroVrvOO3Oi3vEd0qIHm3W0p9fssgBgQIMK4aWlpdqxY4e2b9+uvLw8LV26VMnJySopKSGQAxj1/rBtj572dmpcSpL+3xcvNLucUSt9/Bg9+jWHJqem6Glvp77xh21mlwQAA4poRKHNZlNVVZV27NihpqYmZWdn66677goH8qeeeipadQJAXOru6dW9//e6JOlfP2XTuRkTTK5odJt71mQ9eGueJOlnz7bply+9bXJFANC/Ic8Jt9vtqqqqUmdnp5588kllZGRo4cKFysrK0uLFiwnkAEaFXze/q217PlLmhDHcjBknvnjhVH3n48k0i9e9ohd3dplcEQCczJDNepxOp1atWqXOzk7V19ero6ND8+fPV1ZWliorK7V161YjXgYA4sqBI936zoY3JUn3zp8j6/gxJleEkG855+iGi6bqSE+vFv66We8HDpldEgD0YfiOmU6nU2vXrlVvb69qa2vV2tqqvLw8zZkzR5WVldq5c6fRLwkApvjJs23a5T+kc63j9Y9XzTK7HBwnKcmiX918meZOmaTdgUNa9GALN2oCiCuGh/DjFRUVhQP5ihUr1NLSouzsbM2ZM0f33Xef2tvbo/nyABA1HfuPqHrTDknS968/X+PGJJtcEU6UNm6MHr3DEd7aftkfuVETQPyIagg/XlFRkTZs2KCuri4tXbpUGzZskM1mk8Ph0I9+9CMFAoFYlQIAw/bfG7fLf6hbl5ydplvzpptdDgZw3pmT9Oubj92o+eNn2vS7zbtMrggAjolZCA9JT09XWVlZOJCXlpbqt7/9rTIyMuRwOPTAAw8QyAHEtZ2dB1TzXLskqepzc5WcZDG3IJzSly6aqsr5x26avXvtVr32/j6TKwIAE0L48UKBvLm5Wdu3b1dxcXGfTYEI5ADi0X8++aaO9PTqMzlZWnD+mWaXg0H43oIL5Jxzhg4c7dHCXzfJf/Co2SUBGOVMDeHHs9lsWrZsWZ9NgUKBvKSkxOzyAECStHW3Xw953pUkVX0uVxYLq+AjQXKSRY/cbte51vF664P9uqN+i4LBoNllARjF4iaEH+/ETYEWLVpkdklxw+FwKDc3VzU1NWaXAoxK393wloJBadGl0+Q412p2OYjAGRNT1fCVAo1NTtJjr76vlU+1ml0SgARRU1Oj3NxcORyOQT/HEmQpYEQIBAJKT0+X3+9XWlqa2eUAo9Jr7+/Txff9RRaL9Oo3/0Fzz5psdkkYgtUv7FR548tKskhPll2p+XNoKQJgjEjyWlyuhANAPKratF2SdONFUwngI1jplTN1x+Uz1BuUbn3Io13+g2aXBGAUMjyEb9mypc/H8bPA29vbtWDBAiUnJysrK0slJSXceAlgRGj9cL9++/F4u8r5c0yuBsP1sxsv1mXT0vTB/iMqYSMfACYwPIS7XC7l5+eruLhY9fX18vl8kiS/3y+73S6Xy6Wqqiq53W4VFxdr/vz5RpcAAIarfmqHeoPSdeefqfzpVrPLwTCNH5Osxq8WKH1cip5v72IjHwAxl2L0CZ1Op5YuXaqqqqo+j5eWlsrv98vtdmvevHmSpLy8PNlsNlVWVmrFihVGlwIAhtjlP6hfN78jSbrXySp4orBlTdSvb8nTDb9s0o+fadNVszJVfOk0s8sCMEoYvhK+du3akwK4JDU2Nsput4cDeIjdbmdMFIC4dt9fWnW0J6hrsjP1yewss8uBgb544VQt+8yxjXzuWrtFb+xlIx8AsWF4CM/MzDzpsY0bN0o6tkreH+bsAohXH3x0WHUv7JTEKnii+sF15+sfcrL00eEeFf+6RfsPd5tdEoBRICbTUVwulywWy4CzE0N94wAQb378TJsOHu1V/vR0XXseo+wSUUpykh65za6z01L12p59umfdy7xDCyDqDA/hGRkZJz3mdrslDbwSzjc7APHIf/Coap5rk3RsIgrv2iWuqWnj9Lvb85WcZNHDnl1a/eLbZpcEIMEZHsJ37NjR53O/3y+PxyO73d7v0PI1a9aouLjY6DIAYNhqnm+X/1C3cs+apBsunGp2OYiya2xZ+u/rL5Ak/etjr2rzLr/JFQFIZIaH8PLycpWUlGjfvn1qb2+X0+mUxWJRdXX1ScdWVlaqpaWFMYUA4s6BI93636e9kqTl8+YoKYlV8NHgG5/O0efnnqXD3b0qebBFgUNHzS4JQIIyfERhdna2iouLNXPmzHCvd21tbXgqyrp161RbW6uNGzeG21CsVisjCgHElYc8u/Th/iPKzpygmy9jbN1okZRk0a9uuUz2//e0dny4X6Vrt+p3X86nFQmA4SzBKDZk+/1+paenn/RYZ2fnScdmZ2dHq4yEEAgElJ6eLr/f329bDwDjBINBXfb//qpX3tun+76Qq69/OsfskhBjL+zs0qdqnlN3b1A/vfEiLbmaf6MAnF4kec3wlfDjnRjAQ4/19zgAxItn2zr1ynv7NH5Mku5wzDC7HJjgypkZWvn5XH3996/p679/TVecm6GCGVazywKQQGIyovB47e3tam9vVyAQiPVLJwSHw6Hc3FzV1NSYXQqQsGqea5ck3WafrowJY80tBqb512uydeNFU3W0J6iSB1vkO0h/OID+1dTUKDc3d8Bx3P0xvB1l8eLFuv/++wf8/dWrV0s6Nhu8tbVVs2fP1je/+U0jS0hItKMAsbHbf0iz/sut7t6gNn/9U7p0Gu/cjWa+g0eV/z9Pq63zgG68aKoav1pAfziAAZnajhKaCT6Q0tLSPp9v3rxZ9913H0EcQFyoe2GnunuD+mR2JgEcso4fo/ov5+vqnz2rR199XzXPteufPkl/OIDhM7wdJdKF9by8PLW2thpdBgBE7Eh3b3iL+iVXzzK3GMSNghlWrfx8riTpm3/YJs+7PnMLApAQDA/hQ3mbzuv1Gl0GAETs0Vff0/v7Dmvq5FTdeNHZZpeDOPIvn8zWFy88S0d6enXzQx7tO9RtdkkARjjDQ3h/4wf7EwgEtGXLFi1YsMDoEgBgSEI3ZJZdOVNjU2J+3zrimMVi0S9KLtMM6zjt+HC/Fq97OeJ3fgHgeEPuCV+0aJG8Xq+8Xq/8/r5b+yYnJw/6PDabTS6Xa6hlAIAhtu7269m2TqUkWVR25Uyzy0EcypwwVo/clq9/uP95PbJ5l+bNOUN3Xn6u2WUBGKGGHMLXrl0b/rXb7VZ1dbU2btwoi8Uy6G3oCwsLVVZWxtxwAKYLrYLfdPHZmpY+ztxiELeuzs7U9687X/f+3xv650df0RXnZujCqZPNLgvACGToiMLy8nJt2rRJ27dvN+qU+BgjCoHo6TpwRDO+79aBoz366z9epWtsWWaXhDjW2xvUZ9e8qA1vfaALz5qsF//1k5owNqp73wEYISLJa4Y2PdbW1tIjB2DE+VXzOzpwtEcXnz1Zn8zONLscxLmkJIt+fUuepk5O1Wt79ulfHnvN7JIAjECG33lUUVFh9CkBIGqCwaBWPR8aS5jNRiwYlLMmp+qhW+2yWKRfvPS2HvG8a3ZJAEYYw0P4iZvxAEA8+2trh7Z/uF+TU1N0W945ZpeDEWTenDP0Led5kqR71r2stz74yOSKAIwkcTGDa86cOWaXAGCUeuCltyVJt+Sdo4mp9PUiMv9ZeJ4+bcvSR4d7dPODLTp0tMfskgCMEHERwjs6OswuAcAo1HXgiNa9/J4k6S5GzWEIkpMsevg2u86YOFZbdgf0jT9sM7skACNEVJZ9AoGA6urq5HK5Trt5T39zxgEgFh7ZvEuHunt1ydlpKpjBqFQMzbT0cfrNLXn67JoXdf/z7fpMTpaKLp1mdlkA4pzhIdzv9ys7O1s+n2/Qz+FGKACxFgwGtebFY60od11xLt+HMCzXXTBFyz4zWyuf2qG7G7bKPj1dtqyJZpcFII5F5cbMgoICtbS0qLe397QfnZ2dslqtRpcBAKfk2eXX1t0BpaYk6TY7N2Ri+L5/3fm6alaGAoe6dfODLTrS3Wt2SQDimOEh3Ov1asOGDcrLyxvU8VarVRkZGUaXAQCn9MDHq+ALLz5bmRPGmlwNEsGY5CQ9cptdGePHqPldv5b9if5wAAMzPIQXFBRE/JyGhgajywCAAR040q1HNu+SJN3JDZkw0LkZE/Srmy+TJP3kmTY9+sp75hYEIG4ZHsKHsqo92FVzSA6HQ7m5uaqpqTG7FGDEanz5PQUOdcuWNUH/kMMW9TDWFy6cqm98OkeSdGf9FrV1HDC5IgDRVlNTo9zcXDkcjkE/x/AQnpmZqfb29oies2nTJqPLSFhNTU3atm2blixZYnYpwIgVakW58/JzlZTEDZkw3n9/9gJdOTND/kPdKnmwWYe7mR8OJLIlS5Zo27ZtampqGvRzDA/hS5cuVVVVlQKBwKCfU15ebnQZANCvtz74SM+0dSrJIn2tYIbZ5SBBjUlO0u9uP64//I+vm10SgDgTlTnhq1atUmVlpSSpsLBQNptNmZmZ/R7b2tp62lniAGCU0Cr4Zy84S9PSx5lcDRJZqD/8S79s0k+fbdOnc7J008Vnm10WgDhheAhPSkrqM2935cqVRr8EAAzJ0Z5e/br5HUnHZoMD0RbqD//RX1t1V/0WXTYtjfnhACRFIYTbbDZ5vV45nc5Bzf9ubW3Vli1bjC4DAE7yx217tPejI5o6OVWfnTvF7HIwSvz3Zy/Q8+2d+tvOLpU82KJn/+lqpaYkm10WAJMZHsKtVqsaGxt10003Dfo5WVlMJwAQfaFV8K8UzNCYZMNviQH6NSY5Sb+93S77/zytlnf9+sbvt+lnN11sdlkATBaVOeE2my2i52RnZxtdBgD00bH/iP7v9b2SpK8WTDe5Gow252ZM0G9uOTaO9+fPt6t+yy6TKwJgNsND+KpVq3TZZZdF9Jzm5majywCAPhq27lZ3b1B556Rp7lmTzS4Ho9Bn556l5fNmS5JKG7bqzb0fmVwRADNF9f3YTZs2qbKyUgsWLND69ev7/N7y5csjnicOAEMV2iHz1jxWwWGe7y04X5+2Zemjwz1a9GCzDhzpNrskACaJSghvb2+Xw+FQYWGhqqur5XK55PV6+xxTWVmpVatWsVEPgKhr7zygZ9s6ZbFIN+dNM7scjGIpyUl65Ha7pkwaq1fe26d/fuxVs0sCYJKohHCn06muri6tWrVKLS0t6urqOumY9PR0VVVVacOGDayIA4iq0Cr4Z3LO0Dnp402uBqPd2Wnj9Mht+UqySL986R39qukds0sCYALDQ/jy5cvldDq1Y8cOlZaWKi8vT+np6QMeX1VVperqaqPLAABJUjAY1COedyVJt9rPMbka4Jh5c87QdxacL0lasv5lvfLe4HeZBpAYDA/hPp9Pq1atiug5wWDQ6DIAQJK0dXdA2/Z8pNSUJC1kt0LEkXvnzdGC88/UwaO9Kv5NswKHjppdEoAYMjyEH79bZjSfAwCD8bDnWCvK5+eepfTxY0yuBvi7pCSLHrw1T9PTx+mtD/br7rVbWZQCRpG42K3ixJs2AcAIPb1B/e7jecy0oiAenTExVWu/UqCUJIsaX35PP3m2zeySAMSI4SG8o6NDO3fuHPTx69evZ7MeAFHx19YO7fIfknX8GLapR9y6cmaG7vtCriRp6R+26fn2TpMrAhALhofwsrIyFRUVDSqIb9y4UaWlpVq+fLnRZQCAHt587IbMokvOVmpKssnVAAP7509ma9Gl09TdG1TJgy364KPDZpcEIMoMD+FOp1Pz5s2TzWbTvffeq02bNikQCKijo0OBQECBQECbNm1SSUmJrr32WlVVVWnWrFlGlwFglDt0tEfrXn5PknQbrSiIcxaLRauLL9X5Z07ULv8h3fawRz299IcDicwSjNJdIBUVFfrhD3844E2XwWBQtbW1Ki0tjcbLJ5xAIKD09HT5/X6lpaWZXQ4Q99a9vFvFv2nRDOs4td3rVFISN4Aj/r32/j5d8eNndOBoj77lnKPvXXeB2SUBiEAkeS1qN2ZWV1drx44duummm5Sdna1gMBj+WLhwoVpbWwngAKLmkY+notx82TkEcIwYF06drNriSyRJP3Bv1/+9vsfkigBES9RWwvvj9/tPuXEPBsZKODB4XQeO6OzvunSkp1dbvv5pXTKN/2cwsvzjupe16m87lTF+jJr/7VPKzppgdkkABsHUlfCSkpIBf48ADiAWHnv1fR3p6dVFUycTwDEi/c+XLtQV51rVdfCoin7TpINHe8wuCYDBDA/hDQ0N2rp1q9GnBYBBe/SV9yVJRZdMM7kSYGhSU5K19isFOmPiWG3eFdCS9a+wkQ+QYAwP4VarVcXFxdqyZYvRpwaA09p3qFuu7R9Ikm66eKrJ1QBDN8M6Xr+93a4ki/Srpne05sW3zS4JgIEMD+E+n09paWlatWqVSkpKtGnTJqNfAgAG9MQbe3W4u1ezz5ioC6dONrscYFjmzzlTP7j+2ISUf370VTW97TO3IACGMTyE2+12NTc3a9WqVaqvr1dXV5cWLVqk++67T4FAwOiXA4A+Hnv12GzwGy+aOuCIVGAkqfjMbN1w0VQd6elV8W+a9eF+NvIBEoHhIby5ubnP5wsXLtTatWs1f/58LVu2TIsXL6ZVZRgcDodyc3NVU1NjdilA3Dnc3aM/vb5XknTjxWebXA1gDIvFol+WXKY5Z0zU276Duv3hzWzkA8SZmpoa5ebmyuFwDPo5MR1RGLJ69Wq5XC7dfPPNuummm2L98iMSIwqB0/u/1/fo8w+8pGlp4/T2t9igB4nl1fcCuvInz+rA0R4tnzdb//3ZuWaXBOAEcbFZz6mUlpZq9erVWrVqlbKyslRZWWlGGQASzPqPp6J86aKpBHAknIvOTtOaRZdKkqo27dD6V94zuSIAwxHzEL5p0yaVlJQoMzNTbrdbwWBQWVlZsS4DQILp6Q3q968dC+FMRUGiujnvHP37p2ySpK/9brO2vb/P5IoADJXhIby/my8DgYDWrFmjOXPmqLCwUA0NDZo/f75cLpc6Ozv1zW9+0+gyAIwyz7Z16MP9R5Qxfow+ZeMHeySu6s/N1WdysvTR4R7d9Osm+Q8eNbskAENgeAjPzs4O/3rLli1avHixMjIyVF5ero6ODi1dulStra3asGGD5s+fb/TLAxilHn312Cr4Fy88S2OSTem0A2IiJTlJv/tyvmZYx+mtD/brq7/brF5u1ARGnBSjTxgMBrV48WI1NzfL4/EoGAzKbrervLxcpaWlRr8cACgYDOqxj/vBb7iIqShIfGdOStW6rzp0Tc1z+v1re/RfG7fr/ys8z+yyAEQgKstFdXV1amlp0cKFC9XS0qLm5mYCOICo8ezy623fQU0Yk6xrzz/T7HKAmCiYYdXPb7pYkvSdDW/qT9v2mFwRgEhEJYSXlpaqq6tLa9euVV5eXjReAgDCQlMirr9gisaPSTa5GiB27rj8XN3ziZkKBqXbH/HorQ8+MrskAIMUlRC+atUqpaenR+PUAHCSUCvKjUxFwSj0v1+6SJ/MzpT/ULdu+GWTAoe4URMYCQwP4YsWLTL6lAAwoDf27tPrez/SmGSLPjf3LLPLAWJubEqSGr5SoOnp4/TG3o/05Ue4URMYCQwP4atWrQr/etOmTaqsrNSCBQu0fv36PsctX75c7e3tRr88gFHm0Y9XwefPPkPp48eYXA1gjrMmp2r91xwal5KkP2zbo29veNPskgCcRlTaUdrb2+VwOFRYWKjq6mq5XC55vd4+x1RWVmrVqlXatGlTNEoAMEo8+nE/+A0XMxUFo1vBDKtqiy+RJP2Xe7vWvbzb5IoAnEpUQrjT6VRXV5dWrVqllpYWdXV1nXRMenq6qqqqtGHDBlbEAQzJbv8hNb/rl8UifTGXVhTgy/kz9G/hHTW36OXdJ2+gByA+GB7Cly9fLqfTqR07dqi0tFR5eXmnvEmzqqpK1dXVRpcBYBT485t7JUkF062amjbO5GqA+LDyc3PlnHOG9h/p0Y2/alLH/iNmlwSgH4aHcJ/P16cvfDCCQW4gARC5J14/FsKvv2CKyZUA8SMlOUm/vT1f2ZkT1NZ5QIt+06yjPb1mlwXgBIaHcIvFEpPnABjdjvb0yrX9A0mEcOBEWRPH6vE7HJqUmqynWjv0b4+/ZnZJAE4QlZ7wSJ140yYAnM7f2rsUONStrAljVDDDanY5QNy56Ow0PXSrXRaLdP/z7Vr1fLvZJQE4juEhvKOjQzt37hz08evXr1d2drbRZQBIcP/3xrFWlOsumKLkJN5NA/rzxQun6gfXXSBJ+pfHXtVfdnxockUAQgwP4WVlZSoqKhpUEN+4caNKS0u1fPlyo8sAkOD+fFwIBzCw5fNm65a8c9TdG1Txb5rl7dhvdkkAFIUQ7nQ6NW/ePNlsNt17773atGmTAoGAOjo6FAgEFAgEtGnTJpWUlOjaa69VVVWVZs2aZXQZABLYLv9BvfxeQBaLtOD8M80uB4hrFotFaxZdqoLp6eo4cFQ3/LJJ+w51m10WMOpZglEaTVJRUaEf/vCHA950GQwGVVtbq9LS0mi8fMIJBAJKT0+X3+9XWlqa2eUAplrz4k6VNbysK8616m//co3Z5QAjwi7/QV3+42f0XuCwvnThWVr3VYeSaOUCDBVJXovajZnV1dXasWOHbrrpJmVnZysYDIY/Fi5cqNbWVgI4gCGhFQWI3Dnp4/Xo1xxKTUnS46/t0bf+/IbZJQGjWko0T26z2dTQ0BD+3O/3n3LjHgA4naM9vXK9dezmss9ewC6ZQCQuPzdDaxZdqi8/sllVm3bowqmTdZt9utllAaPSoFbCHQ6HIVvLDzWAG/X6AEa+59o6te9wt86cOFb50/mhHojUbfbpWj5vtiTp7rVb9eLOLpMrAkanQYXwlpaWaNcR168PIH488XEryoLzz6SfFRiiH1x3gb504Vk63N2rG37VpHd8B80uCRh1Bt0Tzq6WAOLBn9/8eKv6ubSiAEOVlGTRg7fadcnZadqz77Bu+OVL2n+YiSlALA26J7ysrExWqzWKpQyMHwAASNI7voN65b19SrJI157HaEJgOCalpujxOxy6/MfPaPOugL72uy2q/3I+7zABMTKoEF5dXR3tOk6poKBAmZmZptYAwHyhqSiXn5uhrIljTa4GGPlmZk7Quq8VaP6qv2ndK+/pu6639N0F55tdFjAqDCqEL126NNp1AMBphUL49YwmBAzzyewsrVp4ie5au1Xfd72luVMm6ea8c8wuC0h4UZsTDgBGOtLdK9f2DyQRwgGj3XH5ufrGp3MkSXfWb9FLbzMxBYg2QjiAEeG59k59dLhHUyaNlf0cRhMCRqv63Fx9fu5ZOtTdqxt+2aR3mZgCRBUhHMCIEBpNeN35U7hxDIiC5CSLHr7NroumTtb7+w7rS0xMAaKKEA5gRHC9dawVZQGtKEDUTB6Xot/febnOnDhWm3cF9NXfbVZvb9DssoCEFNVt60erlStXSpJaW1vl9XpVW1srm83W55i6ujpJks/nU1NTk8rLy+V0OmNeKzAS7Nl3WFt3ByRJzjlnmFwNkNhmZU7Q+q85NH/V37T+lff17Q1v6vvXXWB2WUDCIYQbrKKiQpWVleGZ6o2NjcrJyVFra2s4iJeXl6u4uDgcut1utwoLC9XV1WXaLHYgnm3a8aEk6bJpaTpzUqrJ1QCJ7+rsTNUVX6Kv/W6L/su9XRdMmaTb7NPNLgtIKLSjGMztdquzszP8eVFRkaxWq2pra8OPdXZ2qqGhIfx5KJw3NzfHrlBgBHF/PBVl/hw26AFi5SsFM1Qxb7Yk6a76rXq+vfM0zwAQCUK4gXw+n7xer7xeb5/HMzMz5fP5wp83NDT0CeUej0fSsU2JAPQVDAbl/rgf3HkerShALP3XdRfohoum6khPr278ZZPaOw+YXRKQMBKqHcXn86miokJWq/WUu3y63W65XC7l5OSEw/GyZcuG/fpWq1VdXSfPVvV6vcrPzx/webW1taqurqYVBejHjg/36x3fIY1NTtInZ7FzLhBLSUkWPXhLnj718+e0eVdAX3jgJT33z1crbdwYs0sDRryECOEVFRXyer1yOBxyu92nvMGxsbFR9fX1fdpBQj3ZLpfL8Nrq6upks9lUVlbW7++5XC4VFhYa8kMAkIjc24/1g181K0MTUxPiWxYwokxMTdHjd1yuK37yjF7bs0+3POTR43c4lJLMm+nAcCTE/0HV1dVqaGjQsmXLTrma7PP5VFpaqtWrV/d53Ol0qrOzMzyxxCihlfmBwn1ZWZlWr16t1tZWVVRUGPraQKLYGO4HpxUFMMt063g9fsflGj8mSU+8sVff/OM2s0sCRrxRtay0du1a2Wy2foN6SUmJamtrwyvWbre7T9/2qRy/qn680tJSbdy48aTxhMcL3bRpsViUlZXFijhwnJ7eoDbt6JAkObkpEzBVwQyrfn1znhY92KKfPNOmC86cpHuummV2WcCINapCeENDgzIz++8ptdls8ng88vl8slqtcjqdw5rbHRpVaLfbT/q98vJyVVRU9AnnNptNLpeLEA4cx/OuX76DR5U+LkX509mqHjBb0aXT9IMP9+tbT7yhf37sVeWcMVGF5/EDMjAUCdGOMljNzc0DrkqHHj9xsslQNDY2qrCwsE8AD7W6eDwe1dXVnfQ6nZ2d3JgJnCA0mvAzs8+g/xSIE5XzZuvL+dPV0xvUot806/U9+8wuCRiRDF8J37Rpk7xeb3i3yONH81mtVtlsNuXk5Mhms6mgoEBpaWlGlzCg0Cr3qXi93n5XrwfL7XarqalJJSUl4dGDxwduu92uZcuW9Vlld7vd8vl8p5zoAoxGGz++KZN+cCB+WCwW1RVfovbOA3qmrVOff+AlvfAvn2QjLSBCww7h7e3tqq2tldvtlsfjUTAYlHQscGdmZob/29nZqdbWVrlcrnAwt1gsstvtcjqduueeezRz5szhljNkoXB+/EY7kfL5fCouLpbP5wtvXR9y/M2ZlZWVfX6/qalJLS0tp+wdDwkEAn0+T01NVWoq3/iQeA4c6dazbcf+f+TtbiC+pKYka93XCvSJnzyr1o4DuvFXTXKXf0LjxiSbXRoQU4cPH9bhw4fDn5+Y005lyCF806ZNqqqqktvtDgfpqqoq2Ww2ZWdnn/b5bW1t8nq98ng8qq+vV3V1tfLz87Vy5Up95jOfGWpZphpoTnh/xw2193vGjBl9Pv/2t7+t73znO0M6FxDPnm3r1JGeXs2wjtOcMyaaXQ6AE5wxMVV/uOtyXfXT5/R8e5fuXrtVD96aJ4vFYnZpQMysWLFC3/3ud4f03IhDeHt7u8rKytTW1qZly5apoaFB6emR3zCVnZ2t7OxszZ8/X0uXLpXf71d9fb1KS0uVk5Ojurq6mK6Mh1bnB7pxM1688847fVp4WAVHonKHW1HO5B91IE5dMGWyGr6Sr+tXv6hHNu/SeWdO0n9ee57ZZQExU1lZqa9//evhzwOBwEkLpgOJ6E6ndevWhVtHtm/frtLS0iEF8P6kp6errKxMO3bsUGlpqebPn69HH33UkHMnkrS0tD4fhHAkqtB8cCf94EBcmz/nTNXcdLEk6Tsb3tRvN+8yuSIgdlJTU0/KZoM16BC+fPlyud1u7dixQzfddNOQCh2soqIi7dixQy+++KIqKysNO6/NZhtw+kmoF3wwfdkAouvD/Ye1edexvrr5zAcH4l7plTP19U8f+/fzzvoter596PdXAaPFoEL4D3/4QzkcDt1///3RrqePqqoqFRQU6L777jPkfHa7vc+0luOFwvlwJqMAMMam7cc26Ln47Mk6azLv9gAjQfXncvWlC8/S4e5e3fjLJrV1HDC7JCCuDSqEO51OLVy4MNq19GvhwoWaP3++IecqLCwccCW8tbV1WJvzADCOO7xVPavgwEiRnGTRQ7falXdOmj7Yf0Sff+BF+Q4eNbssIG4NKoTn5eVFu46YvP6iRYvU2dnZbxBvbGxUeXm5Ia8DYHhC88HpBwdGlompKfr9nZdrWto4vb73I5U82KyjPb1mlwXEpYTbgs7n8w0469tqtWr16tWqqKjo83hjY6NsNpuKiopiUeKwOBwO5ebmqqamxuxSgKjwduxXW+cBpSRZ9ClbltnlAIjQOenj9Ye7LteEMclyvfWh/vnRV8N7iACJqqamRrm5uXI4HIN+jiUYwf8Zixcvjnlf+GCsXLlSTU1N4bnj0rEWGqvVqpKSkpPCtdvtlsvlUk5OTrhHfKhzu2MlEAgoPT1dfr8/pruMArG2+oWdKm98WZ/MztTTS642uxwAQ/T7197Xjb9qUjAo/eiLufr3T+WYXRIQdZHktYhCeHJysnp6eoZdICJHCMdo8ZVHPHrIs0vfcs7R9667wOxyAAzD/zzdqm/8fpssFmn9Vx360kVTzS4JiKpI8lpE7SjBYFD79u0bVnEAcCpPe4+1k9GKAox8/3aNTeWfmKlgULrtYY887/rMLgmIGxH3hFdUVKi9vT0KpQAY7XZ2HtDbvoNKTrLoypkZZpcDYJgsFot+csNFuva8M3XgaI+++Ismves7aHZZQFyIOITX1tYqJydHWVlZKikp0Zo1awjlAAzxTNuxVfD8c9I1KTXF5GoAGGFMcpLqv5yv3LMmaXfgkL74i5f00eFus8sCTBdRCE9PT1cwGFQwGFRXV1d4rN9wQ/mWLVsiOh5AYnqm7dgmPZ+0ZZpcCQAjpY8foz/edYWmTBqrLbsDuu1hj3p6mZiC0S2iEL5x40YVFRWptrZW1dXVmjdvniGh3KjNeACMbM9+3A9+TTb94ECimZU5QY/dcbnGpSTpD9v26Jt/eM3skgBTRRTC7Xa71q5dG57F7XK51Nvbq5aWFlVXV2v+/Pnh1fJIQnlXV5eRf6aExpxwJKoPPjqs1/d+JEn6ZDYr4UAiunJmhn59y7EN+H78TJt+/ly7uQUBBon6nPDjtbW1aeXKlSouLta8efP6/N7mzZvDs7ibm5vDs7ilYzdpSMc2zikoKJDValVjYyOjD0+DEYVIdI++8p4W/rpZF541Wa8s/QezywEQRSs2btd/PPGGkizSH+68XNfPPcvskgBDRG1OeH/WrVsnt9ut6urqAV+sra0tHMrdbvdJodxqtaqjo2M4ZSQ8QjgS3b8//qp+/Eyb7vnETP184SVmlwMgioLBoO6q36pfNb+jSanJenbJJ3XJNP5tw8gX0xAuSX6/XytWrNDs2bN19913n/b440N5Y2OjMjIyCOGnQQhHonP879Nqedevh2+z65a8c8wuB0CUHenu1fWrX9BTrR2aYR2nF/7lGp2dNs7ssoBhidpmPQNJT09XVVWV8vPzVVJSctppJ9nZ2SotLdXatWvV3NxsRAkARrDAoaPavMsvSbqGfnBgVBibkqTGrxbo/DMn6h3fsdGF+xldiFHEkBAekpeXp/r6erlcLlVWVg7qOXa7vU97CoDR5287u9QblLIzJ2i6dbzZ5QCIkYwJY/XHu67QGRPHquVdv25/hNGFGD0MDeEhS5cuVVlZme655x6tX7/+tMenp6dHowwAI8Qz4a3qWQUHRpucMybq0a85NDY5SY+/tkfL/rjN7JKAmIhKCJeOtZysWrVKwWBQixcvPuWs8JaWlmiVAWAEeMb78SY9zAcHRqWrszP1y5svkyT9z9Ne3f98u6n1ALEQtRAesnDhQt1///1atWqV7rvvvn6Pyc7OjnYZAOLUoaM9eukdnyTpGlbCgVHrlrxz9L3rzpck/fOjr+iJ1/eYXBEQXVEP4SFVVVWaP3++Fi1axDb1w8BmPUg0Te/4dLi7V2dNTtWcMyaaXQ4AE/3H/Dn6asF09QalkodatHW33+ySgEGJ6WY9w/HDH/5QnZ2dqqysZNzeIDGiEInqvzdu17eeeENFl5yttV8pMLscACY7fnTh9PRjowunpTO6ECNDzEcUDlZ7e7s2bdqkjIwMtba2Kjs7W48++mgsSwAQZ0L94NfY6AcH8PfRhRdMmaR3/Yf0hV+8qI8YXYgElGLkyQKBgLxeb/ijtbVVzc3N8nq9/Y4hDAaDKioqktPp1JNPPmlkKQBGgJ7eoJ5v75LEfHAAf3dsdOHl+sRPntXmXQHd+pBHj97hUHKSxezSAMNEHMK3bNnSJ2QfH7pPNFCni81mC3/k5OTIbrdHXjmAEW/rbr/2He5W+rgUXXw2bVYA/s6WNVGP33m55t3/vP74+h79++9f009uuMjssgDDRBTCk5OTT3qsv6BttVpls9lUUFCgnJycPqGbmeAAQp7+eD741bMyWeECcJIrZ2boN7fkadGDLfrZs23KyZqgf73GZnZZgCEiCuHBYFAWi0Xp6eknrWaHfs24QQCD9Wwb/eAATq3o0mmq6jyg5X96XV///WualTFBX7poqtllAcMWcTtKdna2ioqKdO2112revHnRqAnAKBAMBsM7ZTIfHMCpLP2HHHk7DqjuhZ269eEWPbX4Kl1+bobZZQHDEvF0lMbGRhUWFmrDhg0qKCiQw+FQZWWlNm3aFI36ACSoHR/u1wf7jyg1JUkF061mlwMgjlksFv3sxot0/QVTdPBor774i5fU1nHA7LKAYYk4hF922WWaP3++qqqq1NzcrKamJjmdTm3YsEHXXnvtkEL54sWLIy0DwAgX2iUz75x0jU2J6bRUACNQSnKSfnd7vi6blqa9Hx3R5x54UV0HjphdFjBkEf3L53Q6+308FMo3bNhwylAeCAROeq7f71ddXd3Qqh+F2DETiaLp4xDumGE1tQ4AI8fkcSn6w12Xa3r6OL2x9yPd9KtmHe7uMbssIH53zNy8ebPcbrdcLpe6urpUUFCgwsJC2e12VVVVafXq1erp4X+iU2HHTCSaT/7sWT3f3qXf3JKn2/Onm10OgBHk5d0BXVPznPYd7tZt9nP0m1vyZLEwYQnmiySvmbJtfSiU19bWyuv1ymKxEMJPgxCORNLd06v0bz2hg0d79fqyz+j8KZPMLgnACLPhzb363AMvqac3qP9wztH3r7vA7JKA+N22PiQvL09Lly7Vjh07NH/+fDNKAGCi1/bs08GjvUobl6I5Z0w0uxwAI9C1509RbdElkqT/cm/Xmhd3mlwREBnT74aqrq42uwQAMRbqBy+YblUSm/QAGKI7Lz9X33LOkSQtXveK/vzGXpMrAgbP9BBut9sH3N4eQGIKh3BuygQwTN9dcL6+nD9dPb1BLXqwWZt3+c0uCRgU00O4JLW0tJhdAoAYag5PRkk3txAAI57FYtHq4ks1b/YZ+uhwjz7/wIt6u4sZ4oh/cRHC8/LyzC4BQIwcPNqjl9/bJ4nxhACMMTYlSeu+WqCLpk7We4HD+tyal+Q7eNTssoBTiosQDmD02LLLr57eoM6anKoZ1vFmlwMgQaSPH6M/3X2FpqWN02t79mnhr5qYIY64RggHEFPhTXqmW5nrC8BQM6zj9ce7Ltek1GQ91dqhu+q3qreX+84QnwYVwu+55x61t7dHuZT+tbe3s609kECauSkTQBRddk66Gr9SoJQkix7ZvEv3PvGG2SUB/RpUCF+1apXKysr01FNPRbuePjZu3Kjy8nLdf//9MX1dANHTxE2ZAKLs2vOnaHXxpZKklU/tUM1zbSZXBJxs0O0oGzZs0P3336/Fixdr37590axJgUBA99xzj+rq6vTkk09G9bUAxI7/4FG9+cF+SZLjXKu5xQBIaF91zND3rjtfkvQvj72qx159z+SKgL4i6glfu3at8vLyNHPmTFVWVmrnTmN3p2pvb9fy5cuVnZ2tgoIC1dfXG3r+ROBwOJSbm6uamhqzSwEi1vLusfm9szLG64yJqSZXAyDR/cf8OSq98lwFg9KtD3n0t/ZOs0tCgqqpqVFubq4cDsegnxPxjZllZWVqa2tTb2+vsrOz5XA4dN9992nLli2RnkqStGXLFt1333269tprlZOTI7/fL6/Xq7vvvntI50t0TU1N2rZtm5YsWWJ2KUDE/t6KYjW1DgCjg8ViUc2NF+tzc6foUHevvviLl/TWBx+ZXRYS0JIlS7Rt2zY1NTUN+jmW4DC2q/T7/aqvr1ddXZ08Ho8sFotsNpvsdrsyMzNltVqVlZUVPr6jo0M+n0+dnZ3yeDzyer2Sjs0JLy8v16JFi5SeTp9ofwKBgNLT0+X3+5WWlmZ2OcCQFP26SetfeV/Vn5urpZ+ZbXY5AEaJ/Ye7NW/V39T0jk/ZmRP03D9dralp48wuCwkokrw2rBB+PL/fL5fLJbfbLa/XK6/Xq87OTvl8vj7H2Wy28EdhYaGcTifBexAI4UgEM3/g0ju+Q3pq8Sf06ZwzzC4HwCiyd99hXf2zZ9XacUD509P11OKrNCk1xeyykGBMCeGILkI4Rro9+w7r7O9ukMUi+b5/vSaP4x8/ALG148P9uuqnz+rD/Ud03fln6vE7L9eYZLZMgXEiyWtceQBiItQPPnfKJAI4AFPMPmOi/nDn5Ro/Jkl/fvMDlTe8LNYiYRZCOICY4KZMAPHgipkZqv9ygZIs0q+a39G3n3zT7JIwShHCAcQEO2UCiBefzz1L9y+8RJL0A/d21f6t3dyCMCpF9J7wli1bwjdddnR0yOv1KhgMymKxqKSkRDfddFO06gQwggWDQVbCAcSV0itn6h3fQf3AvV1L1r+iaWnj9IULp5pdFkaRiEJ4UVGR2tralJ6ernvvvVfLly9nsgmA02rvPKgP9x/RmGSLLp3GjcUA4sN3F5yvd/2H9Kumd3TzQy3aeM9VunJmhtllYZSI+O4oq9Uqr9dL+AYwaKFV8EvOTlNqSrK5xQDAxywWi2qLLtGefYf1xBt79YUHXtSz//RJnT9lktmlYRSIuCe8srKSAA4gIrSiAIhXY5KTVP/lfBVMT1fHgaO6fvULej9wyOyyMApEHMKLioqiUQeABNbyrk8SIRxAfJqUmqI/3nWFcrImqL3roD73wIvad6jb7LKQ4CIO4ZmZmdGoA0CCCgaD2rzLL0myT+ddNADxacrkVP259EqdOXGsNu8KqOg3TTrS3Wt2WUhgEYVwi8XCbo0AIrKz66D8h7o1JtmiuVMmm10OAAwo54yJ+tPdV2ji2GS53vpQd6/dwmY+iBrmhI8wDodDubm5qqmpMbsUYFC27g5Iki48a7LGpvAtB0B8K5hh1dov5ys5yaKHPLtU+X9vmF0SRoCamhrl5ubK4XAM+jlx8S/iggULzC5hxGhqatK2bdu0ZMkSs0sBBmXL7mOtKJdNoxUFwMhw/dyztLr4UknSyqd26KfPtplcEeLdkiVLtG3bNjU1NQ36OXERwr1er9klAIiS0Er4pefQygZg5PiaY4Z+cP0FkqR/e/xVNWzdbXJFSDRxEcI7OzvNLgFAlGz5+KbMS88mhAMYWSrnzdbiq2YpGJS+/Mhm/WXHh2aXhAQS0WY9wWBQJSUlstlshhXg8Xjk8/kMOx+A+OE7eFTtXQcliZ0yAYw4FotFP7nhIu3Zd0jrX3lfN/6qSU8vuVoXs6gAA0S8Y2ZjY6OhBQSDQVksFkPPCSA+vPxxK8rMjPHKmDDW5GoAIHLJSRY9eKtde+te0LNtnbp+9Yt6/p+v1rkZE8wuDSNcxCE8OztbdrvdsAJaWlrU3t5u2PkAxI+/35TJqhGAkWv8mGQ9fodD19Q8p217PtL1q1/UM/90tTJZXMAwRBTCLRaLWlpaDJ8VnpWVZej5AMSHLR+vhF/CZBQAI1zGhLF6ovRKXfXTZ/X63o/0xV+8JFf5JzR+TLLZpWGEiujGzGAwGJXNejIyMgw/JwDzhdpRWAkHkAhmWMfrz6VXyjp+jJ5v79KtD7Wou4ddNTE0EYXw2traqBQRrfMCMM/Rnl69+v4+ScwIB5A4Lpw6WY/f4VBqSpIef22Pljz6CrtqYkgiCuHz58+PShHROi8A87yx9yMd6elV2rgUzcocb3Y5AGCYa2xZeuQ2u5Is0uoX3tb3XdvNLgkjUFzMCQeQeEI3ZV56dhoTkAAknBsvPls/u/FiSdJ3Nryp1S/sNLkijDSEcABR8fedMmlFAZCY7rlqlr7lnCNJWrzuZf3+tfdNrggjCSEcQFRs5aZMAKPAdxecrzsvP1e9QenmB1v0fDu7gGNwCOEADBcMBsPb1RPCASQyi8WiVQsv1ufnnqVD3b36wgMvadvHN6UDp0IIB2C43YFD6jhwVMlJFuWeNdnscgAgqlKSk/S7L9t15cwMdR08quvXvKB3fQfNLgtxjhAOwHBbdh1rRZk7ZZLGsZEFgFFgwtgU/eHOy3X+mRP1ju+Qrl/9oroOHDG7LMQxQjgAw7FdPYDRKGviWP259EqdnZaq1/bs0w2/bNLBoz1ml4U4RQgHYLjwZBQ26QEwyszMnKAn7r5SaeNS9Exbp25/2KOeXjbzwckI4SOMw+FQbm6uampqzC4FGNDfQzgr4QBGn0umpemxrzk0NjlJj776vv6JXTUTXk1NjXJzc+VwOAb9HEuQq2JECAQCSk9Pl9/vV1oawQbxa9+hbln/vycUDEp7vnOtzpyUanZJAGCKxq27VfJQi4LBY6MM/7/C88wuCVEWSV5jJRyAoV55P6BgUDonfRwBHMCoVnTpNP34SxdJkr795Jta8yK7auLvCOEADBWajMJNmQAg/dMns1U5f7Yk6Z5GdtXE3xHCARhq63vHJqNcQggHAEnSD667QHdcPoNdNdEHIRyAobaGV8KZjAIA0rFdNWsXXsKumuiDEA7AMN09vXr5PdpRAOBE7KqJExHCARhm+4f7dai7VxPHJisna6LZ5QBAXGFXTRyPEA7AMKH54JecnaakJIvJ1QBA/AntqjktbZxe27NPX2JXzVGLEA7AMFs/bkXhpkwAGNjMzAl6ovQKpY9L0bNtnbqNXTVHJUI4AMO8ctxKOABgYBefnabH7nAoNSVJj736vpasZ1fN0YYQDsAwr7xPCAeAwfp0zhl66NY8WSxS3Qs79T3XW2aXhBgihAMwhO/gUb3jOyRJumjqZJOrAYCRYeEl0/TTGy6WJH13w1uqe4FdNUcLQjgAQ7zycT/4udbxSh8/xuRqAGDk+MerZ+k/nHOO/Xrdy3rs1fdMrgixQAgHYIhX3ju28cTFZ7MKDgCR+t6C83Xn5eeqNyjd+pBHz7Z1mF0SoowQDsAQoX7wi+kHB4CIWSwWrVp4sb6Qe2xXzS/+okmvsatmQiOEAzBEqB2FEA4AQ5OSnKTf3m7XJ2ZmyHfwqK5f/YLeYVfNhEUIBzBswWBQr368YnMxN2UCwJBNGJuiP9x1ueZOmaR3/Yd0Xd0L6mRXzYRECAcwbG93HVTgULfGJFt0/pRJZpcDACNa5oSx+nPZlTonfZxe3/uRvviLl9hVMwERwgEM28sft6LMnTJZY5L5tgIAwzXDOl5/Lr1S1vFj9Hx7l255qEXdPb1mlwUD8a8lgGF75X0mowCA0S6cOlm/v9OhcSlJ+v1re7SYXTUTCiEcwLC9yk2ZABAVn8zO0iO325VkkR548W19ZwO7aiYKQjiAYQu1o3BTJgAY74aLzlbNTcd21fy+6y2ter7d3IJgCEI4gGE53N2jNz/YL4mVcACIlvJPzNJ/Fp4nSVry6Cta/wq7ao50hHAAw/LG3o/U0xtUxvgxOid9nNnlAEDC+va156n0ynMVDEq3PezRX1s/NLskDAMhHMCwhFtRzp4si8VicjUAkLgsFotqbrxYX7rwLB3u7tUNv2wKb5SGkYcQDmBYXnnv2GSUi6bSigIA0ZaSnKRHbs/X1bMy5D/UretXv6i3uw6YXRaGgBA+wjgcDuXm5qqmpsbsUgBJf5+Mcsk0QjgAxML4Mcl6/M7LlXvWJO0OHNJ1q19Ux3521TRTTU2NcnNz5XA4Bv0cS5CBkyNCIBBQenq6/H6/0tIIO4gfM77v0i7/IT33T1frE7MyzS4HAEaNd3wHdfVPn9W7/kP6xMwMucqv1ISxKWaXNapFktdYCQcwZJ0HjmiX/5Ak2lEAINZmWMfriY931fzbzi7d8pCHXTVHEEI4gCEL3RCUnTlBk8ex+gIAsXbh1Mn6w52Xa1xKkv6wbY/uWceumiMFIRzAkIVuymS7egAwz9XZmfrt7flKski/eOlt/eeTb5pdEgaBEA5gyELjCWlFAQBzfemiqfr5wkskSf/l3q772VUz7hHCAQzZq++zEg4A8aLsypn69rXHdtX8J3bVjHuEcABD0tsb1KvvfzyekO3qASAu/Gdh3101n27tMLskDIAQDmBI2rsO6KPDPUpNSdKcMyaaXQ4AQCfvqvmlX77ErppxihAOYEhCN2XOnTJJKcl8KwGAeHHirpqfXcOumvGIfzkBDMkrtKIAQNw6flfNXf5Dun71i+o8wK6a8YQQDmBIXtn98WQUQjgAxKXMCWP1ROmVOid9nF7f+5G++IuXdPBoj9ll4WOEcABD8gqTUQAg7s2wjtcTd18h6/gxer69S7c+1MKumnGCEA4gYoeO9uitDz6SRDsKAMS7i85O02Nfcyg1JUmPv7ZHSx5lV814QAgHELHX936k3qCUNWGMpk5ONbscAMBpfConSw/fZpfFIq1+4W1937Xd7JJGPUI4gIi9vudYK0ruWZNlsVhMrgYAMBg3XXy2fnrDxZKk72x4U6tf2GlyRaMbIRxAxLbtOdaKMvcs+sEBYCT5x6tnqXL+bEnS4nUv6/evvW9yRaMXIRxAxP6+Ej7J5EoAAJH6wXUX6GsFM9QblG55qEV/a+80u6RRiRAOIGKv72UlHABGKovFotriS/TZC6bo4NFeffEXL+nNj7+vI3YI4QAicqS7V9s/3C+JlXAAGKnGJCep/sv5csywquPAUV23+gW9FzhkdlmjCiEcQES2f7hfPb1BpY1L0bS0cWaXAwAYoompKfrjXZdr9hkTtbProD635kUFDh01u6xRgxAOICKhfvC5UyYxGQUARrgzJ6Xqz6VXaMqksdqyO6CFv27WkW4284kFQjiAiDAZBQASiy1rov509xWaODZZG7d/qDvrt6i3l818oo0QDiAir+/9+4xwAEBiyJ9uVeNXC5SSZNEjm3ep4k+vm11SwiOEA4jI66GV8CnclAkAiWTB+VO0ZtGlkqQf/bVVP37Ga3JFiY0QDmDQunt69eYHx0I4K+EAkHi+UjBD//3ZCyRJX//9a2rcutvkihIXIRzAoLV1HtDh7l6NH5OkmRnjzS4HABAFFZ+ZrX+8apaCQenLv92sp1s7zC4pIRHCAQxaaJOeC6ZMUlISk1EAIBFZLBb9+IaLdONFU3W4u1c3/KpJr72/z+yyEg4hHMCgbdvDTZkAMBokJ1n00G12XTUrQ76DR3X96he0y3/Q7LISCiEcwKCFbsq8gJsyASDhjR+TrMfvuFwXTJmkd/2H9Nk1L8p/kM18jEIIBzBor7MSDgCjStbEsXri7it0dlqqXnlvn276VZMOd/eYXVZCIIQDGJTe3mC4J5wQDgCjx8zMCfrTXVdocmqKnmrt0J31W9nMxwCEcACD8q7/oPYf6dGYZItysiaYXQ4AIIYuOyc9vJnPbzfvUuX/sZnPcBHCAQxKaLv6886YpJRkvnUAwGhTeN6Z4c18fviXVv3s2TaTKxrZUswuIBGtXLlSktTa2iqv16va2lrZbLZTHm+32+V0OmNVIhCxv09G4aZMABitvlIwQ+/6D+lbT7yhf338VU1LH6ebLj7b7LJGJEK4wSoqKlRZWSmr1SpJamxsVE5OjlpbW/sN4l6vVxUVFXK5XDGuFIhMeEY4/eAAMKpVzputt7sOqu6Fnbr9YY9c5Z/Q1dmZZpc14vCessHcbrc6OzvDnxcVFclqtaq2tnbA40+1Sg7Ei9dZCQcA6NhmPj+78SJ9IfcsHeru1Zd++ZLe/HihBoNHCDeQz+eT1+uV1+vt83hmZqZ8Pt9Jxzc2NmrRokUxqg4YumAwGO4JnzuFlXAAGO1SkpP0yG12XT7Dqs4DR/XZNS9qz77DZpc1oiRUO4rP51NFRYWsVquqq6sHPM7tdsvlciknJyccjpctWzbs17darerq6jrpca/Xq/z8/JNqDT0HiHd79h2W7+BRJVmk886caHY5AIA4MDE1Rb+/83Jd9bNn5e04oC/+4iVtuucTmpiaUPEyahLiq1RRUSGv1yuHwyG3233KGxwbGxtVX1+vhoaG8GNut1uFhYVR6cuuq6uTzWZTWVlZn8fXrl170mNAvAqtgudkTdS4MckmVwMAiBdTJqfq/+6+Qlf/9Fk1vePTrQ97tO6rBUzRGoSE+ApVV1eroaFBy5YtO+XKss/nU2lpqVavXt3ncafTqc7OTtXV1RlaV2hl/sRw7/F4mISCESU0GWUu/eAAgBOcd+YkPX7n5UpNSdIftu3Rvzz2qoJBNvM5nYQI4YO1du1a2Wy2foN6SUlJn5sn3W63iouLB/UxkNLSUm3cuPGkGy+bm5u5GXMEOnz4sL7zne/o8OHR1/MWmowyl8koERnN1wyGhmsGkYqXa+aqWZl66NY8WSzSqr/t1A//0mpqPSOBJZhgP6rk5+eroKCg32kkhYWFktRv20ljY6OKi4vV1dVlSJ92RUWFSkpKZLfb+zy+cuVKdXR0KCsrK/zYihUr5HQ65XA4BuxNDwQCSk9Pl9/vV1pa2rDrQ+RG89/BvPuf119aO/TrWy7Tl/NnmF3OiDGarxkMDdcMIhVv18z/Pu3V13//miTpkdvsujnvHJMriq1I/j4Soid8sJqbmwecRhJamfZ6vScF50g1NjaqsLCwz3nq6upUVlbWb8iuqKhQeXk5LSqIW+F2FCajAABO4d8+ZVN71wH95Jk2fe13W3RO+jhdY8s6/RNHoVHVjuLz+U67yn3ieMFIud1uNTU1KTMzUx6PRx6PR42NjcM6J2Cmjv1HtPejI5KkC6bQEw4AOLUffeFC3XjRVB3p6dWNv2pihvgARtVK+KmEwvnxG+1Eyufzqbi4WD6fL7x1fUh/LTButzs8paW6uloej2fAdpRQ19CuXbsUCATCj6empio1NXXINWPwQl/347/+o0Fze6eChw9oRvo49R4+oACtqoM2Wq8ZDB3XDCIVr9dMzedz9PbeDjW/49f1NZvkKvuEzpyceHnl8OHDffrx9+079s7xYLq9CeEGGmhO+ECcTqecTueAu2keL/SXmpubO+T6YIwZM0ZnT/Q7ktL/y+wqRqbRes1g6LhmEKl4vmbaJM3+ntlVxNa+ffuUnp5+ymMI4R8LbZ6TmZlpbiEDmDZtmlpbWzVmzBhZLJbw46yEAwAAmOPElfBgMKijR49q2rRpp30uIXyESEpKYqzhCOXxeFRRUaHCwkLZbDZ5vV61trYO6h0QjF6hfQt8Pp+ampq4eRun5PP55Ha7VVFRodZWRsPhGK6L+DaqQngoAPUn1AtO0EU0eL1eVVRUyGazqaioiACOUyovL1dxcXE4dId29TVqhCoSi8fjUXNzszIzM4c9XACJg+si/o2qEG6328NtJycKXaDDHU8I9KehoYFrC4PW2dmphoaGcAgPLQ40NzezGo6T2O122e12ghb64LqIf6MqhBcWFqq6urrf32ttbeUfNwBxITQ1KcTj8UiSCgoKzCgHABAFoyqEL1q0SBUVFfJ6vSe1nTQ2Ng4Y0DFy+Xw+VVRUyGq1nvLv1+12y+VyKScnJ/xuyUDjIofC7XaH3xZsampSZWUlbQVxKl6umePV1taqurqaayYOxeP1gpGL62l0SbgQ7vP5Bpz1bbVatXr1alVUVPRZaWpsbAz36iIxhH7Ycjgccrvdp3yXo7GxUfX19X2uiVAPbn/z3Yfi+OvLbrcrPz+fm2TiTLxdM9KxmzNdLpcKCwv5BzbOxOP1gpGL62l0sgQHM008zq1cuVJNTU3yer3ht22dTqesVqtKSkpOCtf8BDm65Ofnq6CgoN+bIX0+n7Kzs9XW1nbSKmN+fr7Ky8tVVlZmeE0ZGRlavXo1P/jFqXi6Zga7MgbzxMv14vV6lZOTM6hNQhC/jL6euC7iV0KshEcaoEOb5ABr166VzWbr923+kpIS1dbWhr+hud3uQU81ObGn90Q2m00ul4sQPgLF+pqxWq2qra2VxWJRVlYWCwYjjFnfY5CYIrmeEP8SIoQDQ9XQ0DDgBk02m00ej0c+n09Wq3XIP7xlZGRo48aNTEdJELG4ZsrLy8MjLY8/t8vlIoSPMLG4XjB6RHI9If4lmV0AYKbm5uYBZ8OHHh/ueKeCgoKTXsPr9So/P39Y54U5on3NeDwe1dXVnXSOzs5O/mEdgWLxPQajB9dTYiGEY1QbzIrBcL+hnbgCHroRmLcMR6ZoXzN2u13Lli3rsyLqdrvl8/noCR+BYvE95vjXQmIbyvXEdRG/aEcBBhD6RjfQtJ3Bqq6u1sqVKyVJHR0d8vl8amlpGW55iENGXTOVlZXha0aSmpqa1NLSwo6+Ccao68Xr9aqxsTE8GaO4uFgOh0NlZWW8ezKKnHg9cV3EP0I4EAP08SISVquVawaDZrPZtGzZMq4Z9MF1Ef9oRwEGEHoLb6CbYIATcc0gElwvMBLX08hDCAcAAABijBCOUc1msw14U1Sor44+XByPawaR4HqBkbieEgshHKOa3W4f8M7x0Dc65nvjeFwziATXC4zE9ZRYCOEY1QoLCwdcVWhtbWXjDJyEawaR4HqBkbieEgshHKPaokWL1NnZ2e83tcbGRpWXl5tQFeIZ1wwiwfUCI3E9JRZCOBKez+cbcA6v1WrV6tWrVVFR0efx0IY6RUVFsSgRcYZrBpHgeoGRuJ5GD0swGAyaXQRgtJUrV6qpqUler1cej0eS5HQ6ZbVaVVJSctI3KrfbLZfLpZycnHC/HbNVRxeuGUSC6wVG4noanQjhAAAAQIzRjgIAAADEGCEcAAAAiDFCOAAAABBjhHAAAAAgxgjhAAAAQIwRwgEAAIAYI4QDAAAAMUYIBwAAAGKMEA4AiEsrV66UxWIJf+Tn55tdkqEqKir6/PkKCwvNLglADBHCAQBxy+l0qrW1Va2trWpoaDC7HENVVlaG/2xsOQ6MPoRwAIgij8ejjIyMPiueOTk5Qz5fcXFxn3NlZGSorq7OwIrji9Vqlc1mC3+cSmFhYZ+vTehjqPr7u7NYLCovLx/yOY93/J9tONcEgJGJEA4AUWS329XV1aVgMCi73S673S6v1yu32x3xuXw+n3w+n6RjAa6rq0tdXV0qKyszuOqRyeVyKRgMqqWlpU9g93g8QzrfihUrwl/vsrKy8N9jbW2tEeUCGOUI4QAQIwUFBeFV1KEEubVr14afb7PZZLVajSwvYXR2dqqoqCj89fF6vRGfY+XKlX16tCsqKvh6AzAUIRwAYmjRokWSpMbGxoif29raetqWDBxbES8sLAx/rSIN4V6vVx0dHX3edeDrDsBohHAAiLFQ+0gkQdzr9dI3PEhut1tOpzMcnFtbWyN6fnV1taqrq+VyuSQduzkUAIxGCAeAGCsuLpYUWUtKY2Mjvd8RGspKeGNjY/jvJ9S3z+hAANFACAeAGHM6nbJarXK73eGWh9Pp6OiIblEJIrQKLin8zsFgQ7jP55PL5ZLT6exzMycr4QCigRAOACYIrWoPZrygx+NhNXaQQv3gUuQr4StWrFB1dbWkv6+C0w8OIFoI4QBggkimpNTX17MaO0gejyf8tTo+PJ/uHQePx6OcnJzwBBT6wQFEW4rZBQDAaGSz2WS32+XxeOT1eqOy2trY2KimpiZJx0JoZ2enKisrZbfbB3yO1+tVbW2tcnJywsG1o6NDJSUl4VaP458f6fHR1tnZGf718V9Tr9d7yjpWrFjRZ0fO5uZmSfSDA4geQjgAmKSkpEQej0e1tbXhNogTNTY2qqSkJOJzV1RUqLCwsM95PR6P5s+fr0WLFvW7At/Y2Kj6+vp+t4evqKjQypUr1dLSMuTjo+34fvAQq9Uqn893yhC+cuVKVVZWhj/3eDzhHyhYCQcQLbSjAIBJBtMX3tTUFPFKcmNjoxwOx0kB0m63a/Xq1aqrq+v3NUtLS7V69ep+z1ldXX3San2kx0fb8f3gIafrCw/NBD/+a0w/OIBYIIQDgEmsVqucTqd8Pl+/29j7fD5lZWVFfF6Xy6XS0tJ+z1lUVCTp5F50n88XblkZSOi5Qzk+Fo7vBw8pKCiQNPCs8NBM8OPRDw4gFgjhAGCiU92guXbt2iHNBu/s7JTP5+szZu94NpvtpJXh0A2JxcXFA97EWFJSEj4u0uNjob8fCEJjCkM93sdrbGzst+ebfnAAsUBPOACYKLRa3N/uma2trUMKsatXr1ZJScmAK9FWq7Xf9oza2lqVl5crIyNDdrtdTqdThYWF4RXhE9tiIj0+mvpbBZdO3Y7icrlO+uHH6/VG3A/u8/m0du3a8Gp7Tk5Onx07AaA/hHAAMFlZWZnq6urU2NgYDs7D2abearX2OU9oSsrp+qPLyspks9lUUVEhj8cjj8ejlStXSjr2w8Lq1av7/FAQ6fHR5Ha7+125Dv2ZT1ytr6ioUEVFRb/nkQbfDx46R2FhoTIzM8PPra2tlc/ni2hXVACjC+0oAGCy/raxH+429Y2NjcrJyVF5ebnsdrsaGhrC/c+nCpdOp1MtLS3q6upSQ0ODli1bJrvdrsbGRmVnZ58U4CM9PlpcLle4//t4J44plI6tmmdlZfX7dRhsP7jH41F5ebkqKytVXV0d3gU11Ocf+lqXl5cP2BYEYHQjhAOAyfrbxn4429SXl5eruLhY5eXl4W3YT8fn8/VpiQmtpldXV6ulpUUul0s+ny/cwx7p8dHW2dnZ76r78Y+FQviKFSu0bNmyfs8TWgk/VT94aIW7trb2lCv9oRXx0Ko4AByPEA4AceD4cYXD2abe7Xarrq5OTqdzwKB5YiD0eDzasmXLKVsnQqu7oZDa2dkZ0fHR5PF4+l0FDzm+DefEmeDHG2w/+PHb2w9GdXV1v60vAEY3QjgAxIHjp6QMZ5v60MY5oRaX/pzYIuL1ehUIBE4bmEMr9iGRHh8tA/WDh4RCuMvlOmkm+InnkU7dDx5qZYnkz2W1WpWTk0NbCoA+COEAECOdnZ0DztUObWN/uh7qU83llv4+km+g9ofGxsaTQmhnZ6fS0tIk6ZQrtl6v96QfDiI9Phpqa2tPOYklFKjdbveAq+DS3/vBT7WqPtQfkJxOp+rr6yN+HoDERQgHgBhobGxUY2OjysvLBwzIodXwU21TH1pNPdWEE6vVqhUrVpx0jNvtltfrDQfRUE93S0uLzj33XEnHwnt/u2l6PB6tWLHipB0yIz3eSKG2Ha/Xq+rq6gG/rqEfTE41rcXj8YS/Hqda5fb5fEMavWi32+kLB9AHIwoBIIo8Ho/y8/PDn7vdbmVkZKioqCjcOhKyaNGiAVd18/Pz5fP5wsHa5/MpIyNDmZmZqq6uDo8ktFqtamtr04oVK1RcXKyCgoJwqHQ4HOE+8draWq1YsUL19fXh/uZly5aF+7hDPxAcH0hbWlr61BTp8UY58WsqHeulr6urU1lZ2Um96qEZ5ifOTfd6veGva2iyiXTshxOLxSKr1aqNGzf2+fvo7Owc8GbT0N/NiX+vxz8XAEIswWAwaHYRAACcaOXKlWpqahow1JqhvLxc1dXV/a6Wh3rKB2pXKS4uHvDPUldXp4aGhnBLDIDERzsKAACDlJ+fH97WPhKnu3kUwOhDCAcAYJAWLVo0pJX5hoYGLVq0KAoVARipCOEAAAyS1WpVYWFhn42KTqexsVGFhYUxGdcIYOQghAMAEIGioiI1NTUNaiMit9stl8t10k2hAEAIBwAgQtXV1fJ6vaqoqOh39KDP51NFRYW8Xu8pdxYFMHoxohAAgCEoKyuTz+cLz2QPhfHa2lrZbDaVl5cPuPMmABDCAQBxKzSzWzo27ztas8eHymq1huesR6qiokIrV64Mfx6L3UUBxA/mhAMA4pLP5ztpg5tEWllO9D8fgFMjhAMAAAAxxo2ZAAAAQIwRwgEAAIAYI4QDAAAAMUYIBwAAAGKMEA4AAADEGCEcAAAAiDFCOAAAABBjhHAAAAAgxgjhAAAAQIz9/7+RywYXFXcIAAAAAElFTkSuQmCC", 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", 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" ] @@ -316,12 +345,21 @@ } ], "source": [ - "plt.plot(ms_limited/3e-6, gamma_of_ms)\n", - "plt.xscale(\"log\")\n", - "plt.yscale(\"log\")\n", - "plt.xlabel(r\"Mass [$M_\\oplus$]\")\n", - "plt.ylabel(r\"$\\Gamma(M)$ [events/star/hr]\")\n", - "plt.ylim(1e-24, 1e-21)\n", + "# plt.plot(ms_limited/3e-6, gamma_of_ms/np.sum(gamma_of_ms))\n", + "# plt.bar(np.log10(ms_limited/3e-6), gamma_of_ms/np.sum(gamma_of_ms), width=1)\n", + "plt.hist(np.log10(ms_limited/3e-6), weights=8*gamma_of_ms/np.sum(gamma_of_ms), bins=8, color=\"C0\")\n", + "\n", + "# plt.xscale(\"log\")\n", + "# plt.yscale(\"log\")\n", + "plt.xlabel(r\"$Log_{10}$(M/$M_\\oplus$)\")\n", + "# plt.ylabel(r\"$\\Gamma(M)/\\Gamma_{\\rm{tot}}$ [events/star/hr]\")\n", + "plt.ylabel(\"Expected Yield\")\n", + "plt.xlim(-5, 2)\n", + "# plt.ylim(1e-24, 1e-21)\n", + "# plt.ylim(1e-3, 2e-1)\n", + "\n", + "# plt.savefig('figures/tess_mass_sensitivity.pdf')\n", + "# plt.savefig('figures/tess_yield_estimate.pdf')\n", "plt.show()" ] }, @@ -2011,22 +2049,20 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 384, "metadata": {}, "outputs": [ { - "ename": "NameError", - "evalue": "name 's' is not defined", - "output_type": "error", - "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", - "\u001b[0;32m/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_8032/1859136580.py\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0ms\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0madd_pbh\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m1e-5\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 2\u001b[0m \u001b[0mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mpbh\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mrate_tot\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mfinite\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mTrue\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;31m#num events per hour observed per source\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3\u001b[0m \u001b[0mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mn_sources\u001b[0m \u001b[0;34m*\u001b[0m \u001b[0ms\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mpbh\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mrate_tot\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mfinite\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mTrue\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m*\u001b[0m \u001b[0ms\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mobs_time\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;31m#total number of events observed\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[0;31mNameError\u001b[0m: name 's' is not defined" + "name": "stdout", + "output_type": "stream", + "text": [ + "5.736819380728697e-10\n", + "0.2391106501465941\n" ] } ], "source": [ + "s = Survey(**survey_params_dict[\"27\"])\n", "s.add_pbh(1e-5)\n", "print(s.pbh.rate_tot(finite=True)) #num events per hour observed per source\n", "print(s.n_sources * s.pbh.rate_tot(finite=True) * s.obs_time) #total number of events observed" @@ -2034,7 +2070,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 388, "metadata": {}, "outputs": [], "source": [ @@ -2066,55 +2102,14 @@ }, { "cell_type": "code", - "execution_count": 121, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "array([1.90837506e-14, 4.08596756e-13, 7.46896167e-12, 1.10342863e-10,\n", - " 1.73437585e-09, 3.10134337e-08, 5.28614483e-07, 9.07126545e-06,\n", - " 1.55463627e-04, 2.53138010e-03, 4.07048080e-02, 5.27095412e-01,\n", - " 5.08323324e+00, 2.51596463e+01, 5.31584616e+01, 6.45070241e+01,\n", - " 5.92970569e+01, 4.92048274e+01, 3.72968291e+01, 2.71932363e+01,\n", - " 1.98190820e+01, 1.40114719e+01, 9.11567372e+00, 7.09945737e+00,\n", - " 4.90895579e+00, 3.33144340e+00, 2.37780437e+00, 1.65006656e+00,\n", - " 1.15736538e+00, 8.08703359e-01])" - ] - }, - "execution_count": 121, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "get_n_events_pbh_s(survey_name_and_params_list[-1])" - ] - }, - { - "cell_type": "code", - "execution_count": 11, + "execution_count": 389, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ - " 19%|█▉ | 12/62 [01:45<05:06, 6.14s/it]/Users/nolansmyth/opt/anaconda3/lib/python3.9/site-packages/scipy/integrate/quadpack.py:879: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", - " quad_r = quad(f, low, high, args=args, full_output=self.full_output,\n", - "/Users/nolansmyth/opt/anaconda3/lib/python3.9/site-packages/scipy/integrate/quadpack.py:879: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", - " quad_r = quad(f, low, high, args=args, full_output=self.full_output,\n", - " 52%|█████▏ | 32/62 [03:40<02:16, 4.55s/it]/Users/nolansmyth/opt/anaconda3/lib/python3.9/site-packages/scipy/integrate/quadpack.py:879: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", - " quad_r = quad(f, low, high, args=args, full_output=self.full_output,\n", - "/Users/nolansmyth/opt/anaconda3/lib/python3.9/site-packages/scipy/integrate/quadpack.py:879: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", - " quad_r = quad(f, low, high, args=args, full_output=self.full_output,\n", - " 60%|█████▉ | 37/62 [04:26<03:00, 7.23s/it]/Users/nolansmyth/opt/anaconda3/lib/python3.9/site-packages/scipy/integrate/quadpack.py:879: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", - " quad_r = quad(f, low, high, args=args, full_output=self.full_output,\n", - "/Users/nolansmyth/opt/anaconda3/lib/python3.9/site-packages/scipy/integrate/quadpack.py:879: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", - " quad_r = quad(f, low, high, args=args, full_output=self.full_output,\n", - "/Users/nolansmyth/opt/anaconda3/lib/python3.9/site-packages/scipy/integrate/quadpack.py:879: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", - " quad_r = quad(f, low, high, args=args, full_output=self.full_output,\n", - "100%|██████████| 62/62 [07:06<00:00, 6.88s/it]\n" + " 0%| | 0/62 [00:00\u001b[0;34m\u001b[0m\n\u001b[1;32m 118\u001b[0m \u001b[0max\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mtext\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m0.5\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;36m0.05\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m\"Micro-lensing\"\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mva\u001b[0m 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#General options\n", + "plot_SGWB_range = True\n", + "\n", + "#Default values, overridden if you pass in command line arguments\n", + "# listfile_default = \"listfiles/bounds_microlensing.txt\" \n", + "outfile_default = \"plots/PBHbounds_microlensing_square.pdf\"\n", + "\n", + "listfile= 'bounds_microlensing.txt'\n", + "outfile = outfile_default\n", + "\n", + "alpha_val = 0.15\n", + "\n", + "bounds = np.loadtxt(listfile, usecols=(0,), dtype=str)\n", + "colors = np.loadtxt(listfile, usecols=(1,), dtype=str)\n", + "lines = np.loadtxt(listfile, usecols=(2,), dtype=str)\n", + "xlist = np.loadtxt(listfile, usecols=(3,))\n", + "ylist = np.loadtxt(listfile, usecols=(4,))\n", + "anglist = np.loadtxt(listfile, usecols=(5,))\n", + "labellist = np.loadtxt(listfile, usecols=(6,), dtype=str)\n", + "\n", + "Mgrid = np.geomspace(1e-12, 1e5, 1000)\n", + "envelope = 1.0 + 0.0*Mgrid\n", + "\n", + "def addConstraint(boundID, col='blue',x = 1e-30,y=1e-4,ang=0, linestyle='-', labeltext=''):\n", + " m, f = np.loadtxt('bounds/' + boundID + '.txt', unpack=True)\n", + " if (boundID != \"OGLE-hint\"):\n", + " plt.fill_between(m , np.clip(f, 0,1), 1, alpha=alpha_val, color=col)\n", + " linewidth = 1.0\n", + " if (boundID in [\"Microlensing\", \"Evaporation\"]):\n", + " linewidth=2.0\n", + " plt.plot(m, np.clip(f, 0,1), color=col, lw=linewidth, linestyle=linestyle)\n", + " \n", + " if (x > 1e-20):\n", + " plt.text(x, y, labeltext.replace(\"_\", \" \"), rotation=ang, fontsize=12, ha='center', va='center')\n", + " \n", + " interped_lim = np.interp(Mgrid, m, np.clip(f, 0,1), left=1, right=1)\n", + " envelope[interped_lim < envelope] = interped_lim[interped_lim < envelope]\n", + " \n", + "\n", + "def addSIGWprojections(col='red', linestyle='--'):\n", + " plt.fill_between([6.6e-14, 6.6e-12], 5e-3, 1, color=col, alpha = alpha_val, linewidth=0)\n", + " #plt.plot([6.6e-14, 6.6e-12], [3e-3, 3e-3], 0, color='red', linestyle='--')\n", + " plt.plot([6.6e-14, 6.6e-14], [5e-3, 1], color = col, linestyle=linestyle, lw=1.0)\n", + " plt.plot([6.6e-12, 6.6e-12], [5e-3, 1], color = col, linestyle=linestyle, lw=1.0)\n", + " plt.text(8e-13, 7e-3, \"LISA\",fontsize=12, ha='center', va='bottom', rotation = 90)\n", + "\n", + " #AI/DECIGO\n", + " plt.fill_between([1e-17, 1e-15], 5e-3, 1, color=col, alpha = alpha_val, linewidth=0)\n", + " plt.plot([1e-17, 1e-17], [5e-3, 1], color = col, linestyle=linestyle, lw=1.0)\n", + " plt.plot([1e-15, 1e-15], [5e-3, 1], color = col, linestyle=linestyle, lw=1.0)\n", + " #plt.plot([1e-17, 1e-15], [3e-3, 3e-3], 0, color='red', linestyle='--')\n", + " plt.text(1e-16, 7e-3, \"DECIGO/AI\",fontsize=12, ha='center', va='bottom', rotation = 90)\n", + " \n", + " plt.text(1e-14, 4e-3, \"SIGWs\", fontsize=12, ha='center', va='center')\n", + "\n", + "#------------------------------------------- \n", + " \n", + " \n", + "plt.figure(figsize=(8,6))\n", + "\n", + "ax = plt.gca()\n", + "ax.set_xscale('log')\n", + "ax.set_yscale('log')\n", + "ax.xaxis.tick_bottom()\n", + "ax.xaxis.set_tick_params(pad=5)\n", + "\n", + "for i in range(len(bounds)): \n", + " if (bounds[i] == \"SIGWs\"):\n", + " addSIGWprojections(col=colors[i], linestyle=lines[i])\n", + " else:\n", + " addConstraint(bounds[i], col = colors[i], x = xlist[i], y = ylist[i], ang=anglist[i], linestyle=lines[i], labeltext=labellist[i])\n", + "\n", + "\n", + "\n", + "#Plotting stuff\n", + "plt.axhspan(1, 1.5, facecolor='grey', alpha=0.5)\n", + " \n", + "plt.ylim(1e-3, 1.5)\n", + "\n", + "xmin = 1e-12\n", + "xmax = 1e4\n", + "plt.xlim(xmin, xmax)\n", + "\n", + "ticks_minor = np.geomspace(1e-18, 1e4, 23)\n", + "ticks_minor = ticks_minor[(xmin <= ticks_minor) & (ticks_minor <= xmax)]\n", + "#print(ticks_minor)\n", + "ax.set_xticks(ticks_minor,minor=True)\n", + "ax.set_xticklabels([], minor=True)\n", + " \n", + "ax.set_xlabel(r'$M_\\mathrm{CO}$ [$M_\\odot$]')\n", + "plt.ylabel(r'$f_\\mathrm{CO} = \\Omega_\\mathrm{CO}/\\Omega_\\mathrm{DM}$')\n", + "\n", + "ax_top = ax.twiny()\n", + "ax_top.xaxis.tick_top()\n", + "ax_top.set_xscale('log')\n", + "ax_top.set_xlim(ax.get_xlim())\n", + "ax_top.set_xlabel(r'$M_\\mathrm{CO}$ [g]', labelpad=7)\n", + "\n", + "g_to_Msun = 1/1.989e+33\n", + "\n", + "g_ticks_minor = np.geomspace(1e15, 1e37, 23)\n", + "g_ticks_minor = g_ticks_minor[(xmin < g_to_Msun*g_ticks_minor) & (g_to_Msun*g_ticks_minor < xmax)]\n", + "g_ticks = g_ticks_minor[::3]\n", + "\n", + "\n", + "g_tick_labels = [r\"$10^{\" + str(int(np.log10(x))) +\"}$\" for x in g_ticks]\n", + "\n", + "ax_top.set_xticks(g_ticks*g_to_Msun)\n", + "ax_top.set_xticklabels(g_tick_labels)\n", + "ax_top.xaxis.set_tick_params(pad=0)\n", + "\n", + "ax_top.set_xticks(g_ticks_minor*g_to_Msun,minor=True)\n", + "ax_top.set_xticklabels([],minor=True)\n", + "\n", + "ax.text(0.5, 0.05, \"Micro-lensing\", va = \"bottom\", ha = \"center\", color='C0', transform=ax.transAxes)\n", + "\n", + "plt.loglog(ms, 4.47/np.sum(results_pbh, axis=0), 'blue', ls=':')\n", + "plt.fill_between(ms, 4.47/np.sum(results_pbh, axis=0), 1, alpha=0.3, color='blue')\n", + "\n", + "# plt.savefig(outfile, bbox_inches='tight')\n", + " \n", + " \n", + "#Save envelope to file\n", + "headertxt = \"Envelope of microlensing bounds: \" + \", \".join(bounds)\n", + "headertxt += \"\\n Columns: PBH mass [Muns], PBH fraction f_PBH\"\n", + "# np.savetxt(\"bounds/Microlensing.txt\", np.c_[Mgrid, envelope], header=headertxt)\n", + " \n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Lightcurves" + ] + }, + { + "cell_type": "code", + "execution_count": 315, + "metadata": {}, + "outputs": [], + "source": [ + "def A_ps(u):\n", + " return (u**2 + 2) / (u * (u**2 + 4)**(1/2))\n", + " # return 1/u\n", + "\n", + "def theta_max(u, rho):\n", + " if u <= rho:\n", + " return np.pi/2\n", + " else:\n", + " return np.arcsin(rho/u)\n", + "\n", + "def ellip(phi, m):\n", + " return quad(lambda x: np.sqrt(1 - m**2*np.sin(x)**2), 0, phi)[0]\n", + "\n", + "def A_gould(u, rho):\n", + " return A_ps(u) * 4*u / (np.pi * rho) * ellip(theta_max(u, rho), u/rho)\n", + "\n", + "def u_func(umin, t, t_e):\n", + " return np.sqrt(umin**2 + (t/t_e)**2)" + ] + }, + { + "cell_type": "code", + "execution_count": 364, + "metadata": {}, + "outputs": [], + "source": [ + "umin = 0.2\n", + "t_e = 10\n", + "t_arr = np.linspace(-20,20,1000)\n", + "u_arr = u_func(umin, t_arr, t_e)\n", + "rho = 0.7\n", + "A_fs_arr = np.array([A_gould(u, rho) for u in u_arr])\n", + "A_ps_arr = np.array([A_ps(u) for u in u_arr])" + ] + }, + { + "cell_type": "code", + "execution_count": 371, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(t_arr, A_ps_arr, label=r\"Point Source\", ls='--')\n", + "plt.plot(t_arr, A_fs_arr, label=r\"$\\rho = $\" + ' ' + str(rho))\n", + "\n", + "\n", + "plt.ylim(1,6)\n", + "# plt.ylim(5,50)\n", + "\n", + "plt.xlim(-20,20)\n", + "# plt.xlim(-2,2)\n", + "\n", + "\n", + "plt.xlabel(\"Time\")\n", + "plt.ylabel(\"Magnification\")\n", + "plt.legend()\n", + "# plt.savefig(\"figures/ps_fs_magnification.pdf\")\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, { "cell_type": "code", "execution_count": null, diff --git a/examples/hsc_ubo.ipynb b/examples/hsc_ubo.ipynb index 179a423..5fbd436 100644 --- a/examples/hsc_ubo.ipynb +++ b/examples/hsc_ubo.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 2, + "execution_count": 1, "metadata": {}, "outputs": [], "source": [ @@ -27,7 +27,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ @@ -37,7 +37,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 3, "metadata": {}, "outputs": [], "source": [ @@ -48,7 +48,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 4, "metadata": {}, "outputs": [], "source": [ @@ -65,7 +65,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 5, "metadata": {}, "outputs": [ { @@ -74,7 +74,7 @@ "0.7027670115593059" ] }, - "execution_count": 6, + "execution_count": 5, "metadata": {}, "output_type": "execute_result" } @@ -98,7 +98,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 6, "metadata": {}, "outputs": [ { @@ -107,7 +107,7 @@ "Survey(l=121.2, b=-21.6, source_dist=770, obs_time=7, cadence = 0.035, survey_area=1.767144375, n_sources=87000000.0, efficiency=0.7027670115593059)" ] }, - "execution_count": 7, + "execution_count": 6, "metadata": {}, "output_type": "execute_result" } @@ -1220,7 +1220,7 @@ }, { "cell_type": "code", - "execution_count": 73, + "execution_count": 7, "metadata": {}, "outputs": [], "source": [ @@ -1228,29 +1228,21 @@ "# p = 2.0\n", "f = Ffp(p, l=l, b=b)\n", "ts = np.logspace(-2, 1, num=40)\n", - "f\n", "ti = 0.07\n", "tf = 3" ] }, { "cell_type": "code", - "execution_count": 70, + "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ - "Computing differential rates for MW (finite=True): 0%| | 0/40 [00:00" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Create a figure and a grid of subplots\n", + "fig, axs = plt.subplots(2)\n", + "ti = 0.07\n", + "tf = 3\n", + "\n", + "# First subplot\n", + "axs[0].loglog(ts, diff_rates_finite_mw_60*z_earth, label=\"60km/s\", linestyle='-.')\n", + "axs[0].loglog(ts, diff_rates_finite_mw*z_earth, label=\"30km/s\", linestyle='-')\n", + "axs[0].loglog(ts, diff_rates_finite_mw_15*z_earth, label=\"15km/s\", linestyle=':')\n", + "\n", + "axs[0].axvline(ti, color='black', linestyle='--')\n", + "axs[0].axvline(tf, color='black', linestyle='--')\n", + "\n", + "axs[0].set_title('Milky Way')\n", + "axs[0].set_xlim(min(ts)*1.8, max(ts))\n", + "\n", + "# axs[0].set_ylim(1e-24,5e-19)\n", + "axs[0].set_ylim(5e-26*z_earth,1e-19*z_earth)\n", + "\n", + "axs[0].legend(loc='lower center')\n", + "\n", + "# Second subplot\n", + "axs[1].loglog(ts, diff_rates_finite_m31_120*z_earth, label=\"120km/s \", linestyle='-.')\n", + "axs[1].loglog(ts, diff_rates_finite_m31*z_earth, label=\"60km/s \", linestyle='-')\n", + "axs[1].loglog(ts, diff_rates_finite_m31_30*z_earth, label=\"30km/s \", linestyle=':')\n", + "\n", + "axs[1].axvline(ti, color='black', linestyle='--')\n", + "axs[1].axvline(tf, color='black', linestyle='--')\n", + "\n", + "axs[1].set_xlabel(r\"$t_{\\rm{FWHM}}$ [h]\")\n", + "axs[1].set_title('M31')\n", + "axs[1].set_xlim(min(ts)*1.8, max(ts))\n", + "axs[1].set_ylim(1e-29*z_earth,1e-20*z_earth)\n", + "axs[1].legend(loc='lower center')\n", + "\n", + "fig.text(0.01, 0.5, r\"$d\\Gamma/dt$ [events/star/hr/hr]\", va='center', rotation='vertical', fontsize=24) \n", + "\n", + "# plt.savefig('figures/differential_rate_velocity_new.pdf')\n", + "# Show plot\n", + "# plt.tight_layout()\n", + "plt.show()\n" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "2.3025850929963492e-15" + ] + }, + "execution_count": 29, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "f.pl_norm()" + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "1.7475639507813683e-23" + ] + }, + "execution_count": 51, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "f.differential_rate_m31(0.05, finite=True, v_disp=60)" + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "4.0598312541988007e-29" + ] + }, + "execution_count": 52, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "#old rho values for ut_interp_rho\n", + "f.differential_rate_m31(0.05, finite=True, v_disp=60)" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/Users/nolansmyth/opt/anaconda3/lib/python3.9/site-packages/scipy/integrate/_quadpack_py.py:1233: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", + " quad_r = quad(f, low, high, args=args, full_output=self.full_output,\n", + "/Users/nolansmyth/opt/anaconda3/lib/python3.9/site-packages/scipy/integrate/_quadpack_py.py:1233: IntegrationWarning: The algorithm does not converge. Roundoff error is detected\n", + " in the extrapolation table. It is assumed that the requested tolerance\n", + " cannot be achieved, and that the returned result (if full_output = 1) is \n", + " the best which can be obtained.\n", + " quad_r = quad(f, low, high, args=args, full_output=self.full_output,\n", + "/Users/nolansmyth/opt/anaconda3/lib/python3.9/site-packages/scipy/integrate/_quadpack_py.py:1233: IntegrationWarning: The maximum number of subdivisions (50) has been achieved.\n", + " If increasing the limit yields no improvement it is advised to analyze \n", + " the integrand in order to determine the difficulties. If the position of a \n", + " local difficulty can be determined (singularity, discontinuity) one will \n", + " probably gain from splitting up the interval and calling the integrator \n", + " on the subranges. Perhaps a special-purpose integrator should be used.\n", + " quad_r = quad(f, low, high, args=args, full_output=self.full_output,\n" + ] + }, + { + "data": { + "text/plain": [ + "4.189152514019091e-24" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "f.differential_rate_m31(0.05, finite=True, v_disp=60)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([1.59326166])" + ] + }, + "execution_count": 27, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "f.umin_upper_bound(700, 1e-8)" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "1.8657438194993436" + ] + }, + "execution_count": 28, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "rho_func(1e-8, 700, 770)" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([0.75931395])" + ] + }, + "execution_count": 36, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "f.ut_interp(2.2, magnification(f.u_t))" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, { "cell_type": "code", "execution_count": 91, diff --git a/examples/mock_roman.ipynb b/examples/mock_roman.ipynb index 56fa6a8..04e78bc 100644 --- a/examples/mock_roman.ipynb +++ b/examples/mock_roman.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 2, + "execution_count": 1, "metadata": {}, "outputs": [], "source": [ @@ -13,6 +13,8 @@ "import matplotlib.pyplot as plt\n", "import pandas as pd\n", "from scipy.interpolate import interp1d, interp2d\n", + "from scipy.interpolate import RegularGridInterpolator\n", + "\n", "from scipy.integrate import quad, nquad\n", "from scipy import stats\n", "\n", @@ -21,6 +23,7 @@ "import functools\n", "from scipy.stats import poisson\n", "import seaborn as sns\n", + "import pickle\n", "sns.set_palette(\"colorblind\")\n", "\n", "%load_ext autoreload\n", @@ -43,7 +46,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ @@ -53,16 +56,36 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 3, "metadata": {}, "outputs": [], "source": [ + "roman_df = pd.read_csv('roman_sensitivity.csv', header=None, names=['t_e [days]', 'efficiency'])\n", + "roman_efficiency_interp = interp1d(roman_df['t_e [days]'], roman_df['efficiency'])\n", "def roman_efficiency(t):\n", " '''\n", " Takes in crossing time in hours and returns the efficiency of Roman\n", - " #Need to replace this eventually. Assume perfect efficiency for now\n", " '''\n", - " return 1.0\n" + " t_day = t/24\n", + " if t_day <= np.min(roman_df['t_e [days]']):\n", + " return roman_df['efficiency'][0]\n", + " if t_day >= np.max(roman_df['t_e [days]']):\n", + " return roman_df['efficiency'][len(roman_df)-1]\n", + " return(roman_efficiency_interp(t_day))" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "# def roman_efficiency(t):\n", + "# '''\n", + "# Takes in crossing time in hours and returns the efficiency of Roman\n", + "# #Need to replace this eventually. Assume perfect efficiency for now\n", + "# '''\n", + "# return 1.0\n" ] }, { @@ -71,8 +94,11 @@ "metadata": {}, "outputs": [], "source": [ + "#A_t of 1.06 corresponds to u_t_point of ~2, which is what popsycle uses as u_0_max\n", "survey_param_dict = {\n", - " \"mock_roman\": {\"l\": 1.0, \"b\": -1.03, \"source_dist\": 8.5, \"obs_time\": 1825*24, \"cadence\": 15/60, \"n_sources\": 1e7, \"efficiency\": roman_efficiency, \"A_t\": 1.34, \"survey_area\":0},\n", + " \"mock_roman\": {\"l\": 1.0, \"b\": -1.03, \"source_dist\": 8.5, \"obs_time\": 1825*24, \"cadence\": 15/60, \"n_sources\": 1e7, \"efficiency\": roman_efficiency, \"A_t\": 1.06, \"survey_area\":0},\n", + " # \"mock_roman\": {\"l\": 1.0, \"b\": -1.03, \"source_dist\": 8.5, \"obs_time\": 1825*24, \"cadence\": 15/60, \"n_sources\": 1e7, \"efficiency\": roman_efficiency, \"A_t\": 1.34, \"survey_area\":0},\n", + "\n", "}" ] }, @@ -97,20 +123,49 @@ "cell_type": "code", "execution_count": 7, "metadata": {}, + "outputs": [], + "source": [ + "# Define Time Array\n", + "s = Survey(**survey_param_dict[\"mock_roman\"])\n", + "# t_es = np.logspace(np.log10(s.cadence)-0.5, np.log10(s.obs_time)+0.5, 60) #hours\n", + "\n", + "def gamma_of_t(dgamma_dt, t, t_es):\n", + " t_min = t * 10**(-0.1)\n", + " t_max = t * 10**(0.1)\n", + " diff_rates_interp_log = interp1d(np.log10(t_es), np.log10(dgamma_dt))\n", + " def diff_rates_interp(t):\n", + " return 10**diff_rates_interp_log(np.log10(t))\n", + " return quad(diff_rates_interp, t_min, t_max)[0]\n", + "\n", + "def sample_crossing_times(t_es, gammas, n_samples):\n", + " norm_gammas = gammas/np.sum(gammas)\n", + " cdf = np.cumsum(norm_gammas)\n", + " \n", + " samples = []\n", + " for _ in range(n_samples):\n", + " r = np.random.rand()\n", + " t_e_sample = np.interp(r, cdf, t_es)\n", + " samples.append(t_e_sample)\n", + " return np.array(samples)" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "Survey(l=1.0, b=-1.03, source_dist=8.5, obs_time=43800, cadence = 0.25, survey_area=0, n_sources=10000000.0, efficiency=)" + "Survey(l=1.0, b=-1.03, source_dist=8.5, obs_time=43800, cadence = 0.25, survey_area=0, n_sources=10000000.0, efficiency=)" ] }, - "execution_count": 7, + "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "s = Survey(**survey_param_dict[\"mock_roman\"])\n", "s" ] }, @@ -168,99 +223,1829 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 9, "metadata": {}, "outputs": [], "source": [ - "# Define Time Array\n", - "t_es = np.logspace(np.log10(s.cadence)-0.5, np.log10(s.obs_time)+0.5, 60) #hours" + "# Initialize an empty dictionary\n", + "data_structure = {\n", + " \"ffp\": {},\n", + " \"pbh\": {}\n", + "}\n", + "\n", + "def store_values(case, finite, v_disp, p=None, mass=None, t_es=None, calculated_values=None, sigma=None):\n", + " if case not in data_structure:\n", + " raise ValueError(\"Invalid case. Valid cases are 'ffp' and 'pbh'.\")\n", + "\n", + " if finite not in data_structure[case]:\n", + " data_structure[case][finite] = {}\n", + "\n", + " if v_disp not in data_structure[case][finite]:\n", + " data_structure[case][finite][v_disp] = {}\n", + "\n", + " if mass not in data_structure[case][finite][v_disp]:\n", + " data_structure[case][finite][v_disp][mass] = {}\n", + "\n", + " \n", + " if case == \"ffp\":\n", + " if p is not None:\n", + " data_structure[case][finite][v_disp][p] = {\n", + " \"t_es\": t_es,\n", + " \"calculated_values\": calculated_values\n", + " }\n", + " else:\n", + " raise ValueError(\"Parameter 'p' is required for case 'ffp'.\")\n", + " \n", + " elif case == \"pbh\":\n", + " if mass is not None:\n", + " data_structure[case][finite][v_disp][mass][sigma] = {\n", + " \"t_es\": t_es,\n", + " \"calculated_values\": calculated_values\n", + " }\n", + " else:\n", + " raise ValueError(\"Parameter 'mass' is required for case 'pbh'.\")\n" ] }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 10, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + " 0%| | 0/40 [00:00" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# plt.loglog(data_structure['pbh'][True][250][1e-12][0.1]['t_es'], data_structure['pbh'][True][250][1e-12][0.1]['calculated_values'])\n", + "# plt.loglog(data_structure['pbh'][True][250][1e2][0.1]['t_es'], data_structure['pbh'][True][250][1e2][0.1]['calculated_values'])\n", + "\n", + "# plt.loglog(data_structure['pbh'][True][250][1e-12][1.5]['t_es'], data_structure['pbh'][True][250][1e-12][1.5]['calculated_values'])\n", + "plt.loglog(data_structure['pbh'][True][250][1e2][1.0]['t_es'], data_structure['pbh'][True][250][1e2][1.0]['calculated_values'], ls='--')\n", + "\n", + "plt.ylim(1e-30, 1e-10)" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_gammas(data_structure)" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [], + "source": [ + "def create_gamma_interp_ffp(data_structure):\n", + " t_values = []\n", + " p_values = []\n", + " gamma_values = []\n", + " dgammadt_values = []\n", + "\n", + " for idx, (entity, entity_data) in enumerate(data_structure.items()):\n", + " if entity != \"ffp\":\n", + " continue\n", + " for finite_val, finite_data in entity_data.items():\n", + " for v_disp, v_disp_data in finite_data.items():\n", + " for p_or_mass, p_or_mass_data in v_disp_data.items():\n", + " # if p_or_mass != 1.0:\n", + " # continue\n", + " # Calculate gamma(t) for each case\n", + " t_es_limited = np.logspace(np.log10(np.min(p_or_mass_data['t_es']))+0.1, np.log10(np.max(p_or_mass_data['t_es']))-0.1, 60)\n", + " gammas = np.array([gamma_of_t(p_or_mass_data['calculated_values'], t, t_es=p_or_mass_data['t_es']) for t in t_es_limited])\n", + " t_values.extend(p_or_mass_data['t_es'])\n", + "\n", + " p_values.extend([p_or_mass] * len(t_es_limited))\n", + " gamma_values.extend(gammas)\n", + " dgammadt_values.extend(p_or_mass_data['calculated_values'])\n", + "\n", + " # Evaluate the gamma values at the points in the grid\n", + " gamma_values_grid = np.array(gamma_values).reshape(len(p_arr), (len(t_es_limited)))\n", + " # dgammadt_values_grid = np.array(dgammadt_values).reshape(len(p_arr), (len(np.unique(t_values))))\n", + "\n", + " # Create an interpolating function\n", + " gamma_interpolating_function = RegularGridInterpolator((p_arr, t_es_limited), gamma_values_grid, method='linear')\n", + " # dgammadt_interpolating_function = RegularGridInterpolator((p_arr, np.unique(t_values)), dgammadt_values_grid, method='linear')\n", + " # dgammadt_interpolating_function = RegularGridInterpolator((np.log10(p_arr), np.log10(np.unique(t_values))), np.log10(dgammadt_values_grid), method='linear')\n", + "\n", + "\n", + " return gamma_interpolating_function\n", + " # return dgammadt_interpolating_function\n", + "\n", + "# def create_gamma_interp_pbh(data_structure):\n", + "\n", + "\n", + "# t_values = []\n", + "# m_values = []\n", + "# gamma_values = []\n", + "# dgammadt_values = []\n", + "\n", + "# for idx, (entity, entity_data) in enumerate(data_structure.items()):\n", + "# if entity != \"pbh\":\n", + "# continue\n", + "# for finite_val, finite_data in entity_data.items():\n", + "# for v_disp, v_disp_data in finite_data.items():\n", + "# for p_or_mass, p_or_mass_data in v_disp_data.items():\n", + "\n", + "# t_es_limited = np.logspace(np.log10(np.min(p_or_mass_data['t_es']))+0.1, np.log10(np.max(p_or_mass_data['t_es']))-0.1, 60)\n", + "# gammas = np.array([gamma_of_t(p_or_mass_data['calculated_values'], t, t_es=p_or_mass_data['t_es']) for t in t_es_limited])\n", + "# t_values.extend(p_or_mass_data['t_es'])\n", + "# m_values.extend([p_or_mass] * len(np.unique(t_values)))\n", + "# gamma_values.extend(gammas)\n", + "# dgammadt_values.extend(p_or_mass_data['calculated_values'])\n", + " \n", + "\n", + "# # Evaluate the gamma values at the points in the grid\n", + "# # gamma_values_grid = np.array(gamma_values).reshape(len(pbh_masses), (len(t_es_limited)))\n", + "# dgammadt_values_grid = np.array(dgammadt_values).reshape(len(pbh_masses), (len(np.unique(t_values))))\n", + "# # Create an interpolating function\n", + "# # gamma_interpolating_function = RegularGridInterpolator((pbh_masses, t_es_limited), gamma_values_grid, method='linear')\n", + " \n", + "# # dgammadt_interpolating_function = RegularGridInterpolator((pbh_masses, np.unique(t_values)), dgammadt_values_grid, method='linear')\n", + "# dgammadt_interpolating_function = RegularGridInterpolator((np.log10(pbh_masses), np.log10(np.unique(t_values))), np.log10(dgammadt_values_grid), method='linear')\n", + "\n", + "# # return gamma_interpolating_function\n", + "# return dgammadt_interpolating_function\n", + "\n", + "def create_gamma_interp_pbh(data_structure):\n", + " t_values = []\n", + " t_values_limited = []\n", + " m_values = []\n", + " sigma_values = []\n", + " dgammadt_values = []\n", + " gamma_values = []\n", + "\n", + " # Extracting data and populating lists\n", + " for entity, entity_data in data_structure.items():\n", + " if entity != \"pbh\":\n", + " continue\n", + " for finite_val, finite_data in entity_data.items():\n", + " for v_disp, v_disp_data in finite_data.items():\n", + " for mass, mass_data in v_disp_data.items():\n", + " for sigma, sigma_data in mass_data.items():\n", + " t_es_limited = np.logspace(\n", + " np.log10(np.min(sigma_data['t_es'])) + 0.1, \n", + " np.log10(np.max(sigma_data['t_es'])) - 0.1, \n", + " 60\n", + " )\n", + " gammas = np.array([\n", + " gamma_of_t(sigma_data['calculated_values'], t, t_es=sigma_data['t_es']) \n", + " for t in t_es_limited\n", + " ])\n", + "\n", + " t_values.extend(sigma_data['t_es'])\n", + " t_values_limited.extend(t_es_limited)\n", + " m_values.extend([mass] * len(t_es_limited))\n", + " sigma_values.extend([sigma] * len(t_es_limited))\n", + " dgammadt_values.extend(sigma_data['calculated_values'])\n", + " gamma_values.extend(gammas)\n", + " \n", + " # Ensure you have unique and sorted values for interpolation grid\n", + " unique_t = np.unique(t_values)\n", + " unique_t_limited = np.unique(t_values_limited)\n", + " unique_m = np.unique(m_values)\n", + " unique_sigma = np.unique(sigma_values)\n", + " \n", + " # Reshaping data for grid interpolation\n", + " dgammadt_values_grid = np.array(dgammadt_values).reshape(len(unique_m), len(unique_sigma), len(unique_t))\n", + " gamma_values_grid = np.array(gamma_values).reshape(len(unique_m), len(unique_sigma), len(unique_t_limited))\n", + " \n", + " # Creating interpolation functions in 3D (log-log-log space may be useful, depending on your data)\n", + " dgammadt_interpolating_function = RegularGridInterpolator(\n", + " (np.log10(unique_m), np.log10(unique_sigma), np.log10(unique_t)), \n", + " np.log10(dgammadt_values_grid), \n", + " method='linear'\n", + " )\n", + "\n", + " gamma_interpolating_function = RegularGridInterpolator(\n", + " (np.log10(unique_m), np.log10(unique_sigma), np.log10(unique_t_limited)), \n", + " np.log10(gamma_values_grid), \n", + " method='linear'\n", + " )\n", + "\n", + " return dgammadt_interpolating_function, gamma_interpolating_function" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [], + "source": [ + "dgammadt_interpolating_function_pbh, gamma_interpolating_function_pbh = create_gamma_interp_pbh(data_structure)\n", + "# pickle.dump(dgammadt_interpolating_function_pbh, open(\"interps/dgammadt_func_pbh_finite_sigma_15.p\", \"wb\"))\n", + "# pickle.dump(gamma_interpolating_function_pbh, open(\"interps/gamma_func_pbh_finite_sigma_15.p\", \"wb\"))\n", + "\n", + "# pickle.dump(dgammadt_interpolating_function_pbh, open(\"interps/dgammadt_func_pbh_finite_sigma_10.p\", \"wb\"))\n", + "# pickle.dump(gamma_interpolating_function_pbh, open(\"interps/gamma_func_pbh_finite_sigma_10.p\", \"wb\"))\n" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [], + "source": [ + "# dgammadt_func_pbh_finite = create_gamma_interp_pbh(data_structure)\n", + "# pickle.dump(dgammadt_func_pbh_finite, open(\"interps/dgammadt_func_pbh_finite.p\", \"wb\"))\n", + "dgammadt_func_pbh_finite = pickle.load(open(\"interps/dgammadt_func_pbh_finite.p\", \"rb\"))" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [], + "source": [ + "# gamma_func_pbh_finite = create_gamma_interp_pbh(data_structure)\n", + "# pickle.dump(gamma_func_pbh_finite, open(\"interps/gamma_func_pbh_finite.p\", \"wb\"))\n", + "# gamma_func_pbh_point = create_gamma_interp_pbh(data_structure)\n", + "# pickle.dump(gamma_func_pbh_point, open(\"interps/gamma_func_pbh_point.p\", \"wb\"))\n", + "gamma_func_pbh = pickle.load(open(\"interps/gamma_func_pbh_point.p\", \"rb\"))\n", + "gamma_func_pbh_finite = pickle.load(open(\"interps/gamma_func_pbh_finite.p\", \"rb\"))\n" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [], + "source": [ + "gamma_interpolating_function_pbh = pickle.load(open(\"interps/gamma_func_pbh_finite_sigma.p\", \"rb\"))\n", + "dgammadt_interpolating_function_pbh = pickle.load(open(\"interps/dgammadt_func_pbh_finite_sigma.p\", \"rb\"))" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([-14.98775702])" + ] + }, + "execution_count": 23, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "gamma_interpolating_function_pbh([[np.log10(1e-10), np.log10(0.1), np.log10(1)]])" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 33, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "t_es_extended = np.logspace(-1.9, 4.5, 100) #hours\n", + "m_arr_extended = np.logspace(-8, np.log10(30), 2)\n", + "\n", + "for m in m_arr_extended:\n", + " # plt.plot(t_es_extended, np.array([gamma_func_pbh([[m, t]]) for t in t_es_extended]).flatten(), label=f\"m={m:.1e}\")\n", + " plt.plot(t_es_extended, np.array([gamma_func_pbh_finite([[m, t]]) for t in t_es_extended]).flatten(), label=f\"m={m:.1e} (finite)\", ls=\"--\")\n", + " plt.plot(t_es_extended, 10**np.array([gamma_interpolating_function_pbh([[np.log10(m), np.log10(1.5), np.log10(t)]]) for t in t_es_extended]).flatten(), label=f\"m={m:.1e} (finite)\", ls=\":\")\n", + "\n", + "\n", + "plt.xlabel(r'$t_E$ [hours]')\n", + "plt.ylabel(r'$\\Gamma(t)$')\n", + "# plt.ylim(1e-14, 1e-3)\n", + "plt.ylim(1e-30, 1e-3)\n", + "\n", + "plt.xscale(\"log\")\n", + "plt.yscale(\"log\")\n", + "plt.legend()" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [], + "source": [ + "# dgammadt_func_ffp_finite = create_gamma_interp_ffp(data_structure)\n", + "# pickle.dump(dgammadt_func_ffp_finite, open(\"interps/dgammadt_func_ffp_finite.p\", \"wb\"))\n", + "dgammadt_func_ffp_finite = pickle.load(open(\"interps/dgammadt_func_ffp_finite.p\", \"rb\"))" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [], + "source": [ + "# gamma_func = create_gamma_interp_ffp(data_structure)\n", + "# gamma_func_ffp_finite = create_gamma_interp_ffp(data_structure)\n", + "# pickle.dump(gamma_func_ffp_finite, open(\"interps/gamma_func_ffp_finite.p\", \"wb\"))\n", + "# gamma_func_ffp_point = create_gamma_interp_ffp(data_structure)\n", + "# pickle.dump(gamma_func_ffp_point, open(\"interps/gamma_func_ffp_point.p\", \"wb\"))\n", + "gamma_func_ffp = pickle.load(open(\"interps/gamma_func_ffp_point.p\", \"rb\"))\n", + "gamma_func_ffp_finite = pickle.load(open(\"interps/gamma_func_ffp_finite.p\", \"rb\"))\n" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [], + "source": [ + "def sample_t_es(p, t_es, gamma_func, n_samples=1000):\n", + " pmin = min(gamma_func.grid[0])\n", + " pmax = max(gamma_func.grid[0])\n", + " tmin = min(gamma_func.grid[1])\n", + " tmax = max(gamma_func.grid[1])\n", + " if p < pmin or p > pmax:\n", + " raise ValueError(f\"p = {p} is outside of the range of p values in the interpolating function: {pmin} to {pmax}\")\n", + " if min(t_es) < tmin:\n", + " raise ValueError(f\"t_e = {min(t_es)} is outside of the range of t_e values in the interpolating function: {tmin} to {tmax}\")\n", + " if max(t_es) > tmax:\n", + " raise ValueError(f\"t_e = {max(t_es)} is outside of the range of t_e values in the interpolating function: {tmin} to {tmax}\")\n", + " \n", + " gammas = np.array([gamma_func([[p, t]]) for t in t_es])\n", + "\n", + " samples = sample_crossing_times(t_es, gammas, n_samples)\n", + " return samples\n", + " " + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [], + "source": [ + "ts_sample = np.logspace(-1.9, 3, 100)\n", + "sampled_t_es = sample_t_es(1.0, ts_sample, gamma_func_ffp, n_samples=1000)" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_53778/2629412168.py:34: UserWarning: Tight layout not applied. tight_layout cannot make axes height small enough to accommodate all axes decorations.\n", + " plt.tight_layout()\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Create a 1x2 grid of subplots (1 row, 2 columns)\n", + "fig, axes = plt.subplots(2, 1, figsize=(8, 6))\n", + "colors = sns.color_palette(\"colorblind\", len(p_arr))\n", + "bins = np.logspace(-2.9, 3.4, 20)\n", + "\n", + "\n", + "# Loop through each value of p\n", + "for i, p in enumerate(p_arr):\n", + " sampled_t_es = sample_t_es(p, ts_sample, gamma_func_ffp, n_samples=1000)\n", + " sampled_t_es_finite = sample_t_es(p, ts_sample, gamma_func_ffp_finite, n_samples=1000)\n", + "\n", + " bin_counts, bin_edges = np.histogram(sampled_t_es, bins=bins)\n", + " bin_counts_finite, bin_edges_finite = np.histogram(sampled_t_es_finite, bins=bins)\n", + " color = colors[i]\n", + "\n", + " # Point case on the first subplot\n", + " axes[0].bar(bin_edges[:-1], bin_counts/np.sum(bin_counts), width=np.diff(bin_edges), align=\"edge\", edgecolor=\"black\", label=f'Point, p = {p}', alpha=0.5, color=color)\n", + " axes[0].axvline(np.median(sampled_t_es), linestyle=\"--\", alpha=0.5, color=color)\n", + " axes[0].axvline(s.cadence, linestyle=\"--\", alpha=0.5, color='k')\n", + " axes[0].axvline(s.obs_time, linestyle=\"--\", alpha=0.5, color='k')\n", + "\n", + " # Finite case on the second subplot\n", + " axes[1].bar(bin_edges_finite[:-1], bin_counts_finite/np.sum(bin_counts_finite), width=np.diff(bin_edges_finite), align=\"edge\", edgecolor=\"black\", label=f'Finite, p = {p}', alpha=0.5, color=color, hatch=\"///\")\n", + " axes[1].axvline(np.median(sampled_t_es_finite), linestyle=\"--\", alpha=0.5, color=color)\n", + " axes[1].axvline(s.cadence, linestyle=\"--\", alpha=0.5, color='k')\n", + " axes[1].axvline(s.obs_time, linestyle=\"--\", alpha=0.5, color='k')\n", + "\n", + "# Set log scale and legend for both subplots\n", + "for ax in axes:\n", + " ax.set_xscale(\"log\")\n", + " ax.legend()\n", + " ax.set_xlabel(r\"$t$ [hours]\")\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Yield and comparison to Johnson" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.6667291964938795" + ] + }, + "execution_count": 29, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "(95**(0.73) * 0.24)/10" + ] + }, + { + "cell_type": "code", + "execution_count": 84, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "20.0" + ] + }, + "execution_count": 84, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "2e8/s.n_sources" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [], + "source": [ + "def yield_ffp(p):\n", + " def gamma_wrapper(t):\n", + " return 10**(dgammadt_func_ffp_finite([[np.log10(p), np.log10(t)]])) * s.efficiency(t)\n", + " # return quad(gamma_wrapper, 0.25, 1825*24, epsabs=0, epsrel=1e-1)[0] * s.n_sources * s.obs_time \n", + " return quad(gamma_wrapper, 0.25, 24*72*6, epsabs=0, epsrel=1e-1)[0] * 2.4e8 * 24*72*6\n", + "\n", + "def yield_pbh(m):\n", + " def gamma_wrapper(t):\n", + " return 10**(dgammadt_func_pbh_finite([[np.log10(m), np.log10(t)]])) * s.efficiency(t)\n", + " return quad(gamma_wrapper, 0.25, 1825*24, epsabs=0, epsrel=1e-1)[0] * s.n_sources * s.obs_time \n", + "\n", + "def yield_pbh_lognorm(m, sigma):\n", + " def gamma_wrapper(t):\n", + " return 10**(dgammadt_interpolating_function_pbh([[np.log10(m), np.log10(sigma), np.log10(t)]])) * s.efficiency(t)\n", + " return quad(gamma_wrapper, 0.25, 1825*24, epsabs=0, epsrel=1e-1)[0] * s.n_sources * s.obs_time " + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_84609/3471871628.py:5: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", + " return quad(gamma_wrapper, 0.25, 24*72*6, epsabs=0, epsrel=1e-1)[0] * 2.4e8 * 24*72*6\n" + ] + }, + { + "data": { + "text/plain": [ + "1179.4983176910887" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "yield_ffp(0.73)*0.667" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "4680.304666146399" + ] + }, + "execution_count": 17, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "yield_pbh(1e-2)" + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_41562/3471871628.py:10: IntegrationWarning: The algorithm does not converge. Roundoff error is detected\n", + " in the extrapolation table. It is assumed that the requested tolerance\n", + " cannot be achieved, and that the returned result (if full_output = 1) is \n", + " the best which can be obtained.\n", + " return quad(gamma_wrapper, 0.25, 1825*24, epsabs=0, epsrel=1e-1)[0] * s.n_sources * s.obs_time\n", + "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_41562/3471871628.py:10: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", + " return quad(gamma_wrapper, 0.25, 1825*24, epsabs=0, epsrel=1e-1)[0] * s.n_sources * s.obs_time\n", + "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_41562/3471871628.py:15: IntegrationWarning: The algorithm does not converge. Roundoff error is detected\n", + " in the extrapolation table. It is assumed that the requested tolerance\n", + " cannot be achieved, and that the returned result (if full_output = 1) is \n", + " the best which can be obtained.\n", + " return quad(gamma_wrapper, 0.25, 1825*24, epsabs=0, epsrel=1e-1)[0] * s.n_sources * s.obs_time\n", + "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_41562/3471871628.py:15: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", + " return quad(gamma_wrapper, 0.25, 1825*24, epsabs=0, epsrel=1e-1)[0] * s.n_sources * s.obs_time\n" + ] + } + ], + "source": [ + "masses_dense = np.logspace(-10, 1, 100)\n", + "# yields_sigma_01 = np.array([yield_pbh_lognorm(m, 0.1) for m in masses_dense])\n", + "yields_mono = np.array([yield_pbh(m) for m in masses_dense])\n", + "yields_sigma_15 = np.array([yield_pbh_lognorm(m, 1.5) for m in masses_dense])\n" + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(masses_dense, yields_mono)\n", + "plt.plot(masses_dense, yields_sigma_15)\n", + "plt.xscale(\"log\")" + ] + }, + { + "cell_type": "code", + "execution_count": 84, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(masses_dense, yields_sigma_01)\n", + "plt.plot(masses_dense, yields_sigma_15)\n", + "plt.xscale(\"log\")" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [], + "source": [ + "s.add_ffp(1)" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "8.987277348788778e-12" + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "m = 3e-5\n", + "s.ffp.differential_rate_mw_mass(m, finite=True, v_disp=None, tcad=0.25, tobs= 1825*24, epsabs = 1.49e-08, epsrel = 1.49e-08, efficiency=s.efficiency, monochromatic=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 7/7 [00:16<00:00, 2.34s/it]\n" + ] + } + ], + "source": [ + "m_yield_arr = np.logspace(np.log10(3e-8), np.log10(3e-2), 7)\n", + "def monochromatic_ffp_yield(m):\n", + " # return s.ffp.differential_rate_mw_mass(m, finite=True, v_disp=None, tcad=0.25, tobs= 1825*24, epsabs = 1.49e-08, epsrel = 1.49e-08, efficiency=s.efficiency, monochromatic=True)*s.n_sources*s.obs_time\n", + " return s.ffp.differential_rate_mw_mass(m, finite=True, v_disp=None, tcad=0.25, tobs= 6*72*24, epsabs = 1.49e-08, epsrel = 1.49e-08, efficiency=s.efficiency, monochromatic=True) *2.4e8 * 6*72*24\n", + " # return s.ffp.differential_rate_mw_mass(m, finite=True, v_disp=None, tcad=0.25, tobs= 6*72*24, epsabs = 1.49e-08, epsrel = 1.49e-08, efficiency=None, monochromatic=True) *2.4e8 * 6*72*24\n", + " # return s.ffp.differential_rate_mw_mass(m, finite=False, v_disp=None, tcad=0.25, tobs= 6*72*24, epsabs = 1.49e-08, epsrel = 1.49e-08, efficiency=s.efficiency, monochromatic=True) *2.4e8 * 6*72*24\n", + "\n", + "with Pool() as pool:\n", + " #! This isn't consistent with calculation using time?\n", + " ffp_yield_mono = np.array(list(tqdm(pool.imap(monochromatic_ffp_yield, m_yield_arr), total=len(m_yield_arr))))\n", + " # ffp_yield_mono_point = np.array(list(tqdm(pool.imap(monochromatic_ffp_yield, m_yield_arr), total=len(m_yield_arr))))\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "#Johnson is using 2e8 for n_sources and 6*72*24 hours for observation duration. " + ] + }, + { + "cell_type": "code", + "execution_count": 494, + "metadata": {}, + "outputs": [], + "source": [ + "def monochromatic_ffp_yield_t(m):\n", + " s.add_ffp(0.73, m_min = m*10**(-0.25), m_max = m * 10**(0.25))\n", + " with Pool() as pool:\n", + " func_ffp = functools.partial(differential_rate_mw_duration, s=s, finite=True)\n", + " ffp_t_mono = list(tqdm(pool.imap(func_ffp, t_es_ffps), total=len(t_es_ffps)))\n", + " ffp_t_mono = np.array(ffp_t_mono)\n", + " return ffp_t_mono * t_es_ffps * 2.4e8 * 6*72*24 " + ] + }, + { + "cell_type": "code", + "execution_count": 495, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 50/50 [01:20<00:00, 1.60s/it]\n", + "100%|██████████| 50/50 [01:29<00:00, 1.80s/it]\n", + "100%|██████████| 50/50 [01:36<00:00, 1.93s/it]\n", + "100%|██████████| 50/50 [01:38<00:00, 1.97s/it]\n", + "100%|██████████| 50/50 [01:12<00:00, 1.45s/it]\n", + "100%|██████████| 50/50 [01:07<00:00, 1.36s/it]\n", + "100%|██████████| 50/50 [01:25<00:00, 1.72s/it]\n" + ] + } + ], + "source": [ + "yield_mono_t = []\n", + "for m in m_yield_arr:\n", + " yield_mono_t.append(monochromatic_ffp_yield_t(m))\n", + "yield_mono_t = np.array(yield_mono_t)" + ] + }, + { + "cell_type": "code", + "execution_count": 530, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[2.20620453e+00 3.37112575e+01 1.35644108e+02 3.97892762e+02\n", + " 1.23753746e+03 3.95605101e+03 1.25340761e+04]\n" + ] + } + ], + "source": [ + "yield_mono_t_total = []\n", + "for row in yield_mono_t:\n", + " efficiencies = [s.efficiency(t) for t in t_es_ffps]\n", + " yield_mono_t_total.append(sum(row*efficiencies))\n", + "yield_mono_t_total = np.array(yield_mono_t_total)\n", + "print(yield_mono_t_total)" + ] + }, + { + "cell_type": "code", + "execution_count": 532, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0.010101204879168043\n", + "0.05424668201763576\n", + "0.2913219309105681\n", + "1.5644913987895308\n", + "8.401816262977512\n", + "45.12042480479617\n", + "242.31102785908587\n" + ] + } + ], + "source": [ + "# print(quad(lambda mint: 1/(mint*np.log(10)) * 0.24*(mint/95)**(-0.73), m * 10**(-0.25), m * 10**(0.25), epsabs=0, epsrel=1e-1)[0])\n", + "m_yield_arr_earth = np.logspace(-2,4,7)\n", + "N_power_arr = []\n", + "for m in m_yield_arr_earth:\n", + " N_power = quad(lambda logm: 0.24*(10**(logm)/95)**(-0.73), np.log10(m)-0.25, np.log10(m)+0.25, epsabs=0, epsrel=1e-1)[0]\n", + " N_power_arr.append(N_power)\n", + " print(1/N_power)\n", + "N_power_arr = np.array(N_power_arr)" + ] + }, + { + "cell_type": "code", + "execution_count": 533, + "metadata": {}, + "outputs": [], + "source": [ + "johnson_ops = np.array([1.22, 17.9, 88.3, 349, 1250, 4100, 13300])\n", + "johnson_fid = np.array([0.698, 10.3, 50.5, 103, 68.9, 42.0, 25.4])" + ] + }, + { + "cell_type": "code", + "execution_count": 538, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "588.0511729614383\n", + "545.5179719321285\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_53778/3495266499.py:5: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", + " return quad(gamma_wrapper, 0.25, 24*72*6, epsabs=0, epsrel=1e-1)[0] * 2.4e8 * 24*72*6\n" + ] + } + ], + "source": [ + "# fudge_fac = 0.925\n", + "fudge_fac = 0.925/2\n", + "N_events_power = N_power_arr*johnson_ops*fudge_fac\n", + "print(sum(N_events_power))\n", + "print(yield_ffp(0.73)*0.667 * fudge_fac)" + ] + }, + { + "cell_type": "code", + "execution_count": 539, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[80.02818461 14.81679812 2.77592599 1.00167483 0.99868689 1.00062909\n", + " 0.99943944]\n" + ] + } + ], + "source": [ + "print(N_events_power/johnson_fid)" + ] + }, + { + "cell_type": "code", + "execution_count": 540, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(m_yield_arr/3e-6, johnson_ops, label=\"Johnson Mono\")\n", + "plt.plot(m_yield_arr/3e-6, yield_mono_t_total, label=\"LCP Mono\")\n", + "\n", + "# plt.plot(m_yield_arr/3e-6, 5e4*m_yield_arr**(0.5), label=r\"$M^{1/2}$\")\n", + "\n", + "# plt.plot(m_yield_arr, N_events_power, label=\"Johnson Fid Extended\")\n", + "\n", + "plt.xscale(\"log\")\n", + "plt.yscale(\"log\")\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_53778/2979419074.py:9: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", + " return quad(gamma_wrapper, 0.25, 1825*24, epsabs=0, epsrel=1e-1)[0] * s.n_sources * s.obs_time\n" + ] + }, + { + "data": { + "text/plain": [ + "45643.36779643568" + ] + }, + "execution_count": 42, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "yield_pbh(1e-4)" + ] + }, + { + "cell_type": "code", + "execution_count": 455, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 455, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "t_arr_extedned = np.logspace(-1.9, 4.5, 1000) #hours\n", + "dgamma_values = np.array([10**(dgammadt_func_pbh_finite([[np.log10(1e-5), np.log10(t)]])) * s.efficiency(t) for t in t_arr_extedned])\n", + "plt.loglog(t_arr_extedned, dgamma_values)" + ] + }, + { + "cell_type": "code", + "execution_count": 457, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_53778/3495266499.py:10: IntegrationWarning: The algorithm does not converge. Roundoff error is detected\n", + " in the extrapolation table. It is assumed that the requested tolerance\n", + " cannot be achieved, and that the returned result (if full_output = 1) is \n", + " the best which can be obtained.\n", + " return quad(gamma_wrapper, 0.25, 1825*24, epsabs=0, epsrel=1e-1)[0] * s.n_sources * s.obs_time\n", + "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_53778/3495266499.py:10: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", + " return quad(gamma_wrapper, 0.25, 1825*24, epsabs=0, epsrel=1e-1)[0] * s.n_sources * s.obs_time\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "mass_arr = np.logspace(-12, 2, 50)\n", + "yield_pbh_arr = np.array([yield_pbh(m) for m in mass_arr])\n", + "plt.loglog(mass_arr, 4.74/yield_pbh_arr, label=\"PBH\")\n", + "plt.fill_between(mass_arr, 4.74/yield_pbh_arr, 1, alpha=0.5)\n", + "plt.ylim(1e-6, 1)\n", + "plt.xlabel(r\"$M_{PBH}$ [M$_\\odot$]\")\n", + "plt.ylabel(r\"$f_{\\rm{PBH}}$\")\n", + "plt.title('Projected Roman PBH Limits')\n", + "plt.show()\n" + ] + }, + { + "cell_type": "code", + "execution_count": 458, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(mass_arr,yield_pbh_arr, label=\"PBH\")\n", + "plt.xscale(\"log\")\n", + "plt.xlabel(r\"$M_{PBH}$ [M$_\\odot$]\")\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 459, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_53778/3495266499.py:5: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", + " return quad(gamma_wrapper, 0.25, 24*72*6, epsabs=0, epsrel=1e-1)[0] * 2.4e8 * 24*72*6\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "p_arr = np.linspace(0.66, 1.33, 6)\n", + "yield_ffp_arr = np.array([yield_ffp(p) for p in p_arr])\n", + "plt.plot(p_arr, yield_ffp_arr, label=\"FFP\")\n", + "plt.yscale(\"log\")\n", + "# plt.ylim(1e-6, 1)\n", + "plt.xlabel(r\"$p$\")\n", + "plt.ylabel(r\"Total Yield\")\n", + "plt.title('FFPs')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 87, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "dN_dt = np.array([gamma_func_ffp_finite([[1, t]]) * s.efficiency(t) for t in np.logspace(-1.9,3,100)])\n", + "# plt.loglog(np.logspace(-1.9,3,100)/24, dN_dt*1e8 * 6*72*24 * 0.667)\n", + "plt.loglog(np.logspace(-1.9,3,100)/24, dN_dt* s.n_sources * s.obs_time)\n", + "\n", + "plt.xlim(0.01, 30)\n", + "plt.ylim(7e0, 1e4)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Mass Sensitivity" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [], + "source": [ + "def differential_rate_mw_mass(m, tcad = 0.07, tobs= 3, finite=True):\n", + " # return s.ffp.differential_rate_mw_mass(m, tcad=tcad, tobs=tobs, finite=finite, epsabs=0, epsrel=1e-1)\n", + " return s.ffp.differential_rate_mw_mass(m, tcad=tcad, tobs=tobs, finite=finite, efficiency=s.efficiency)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 40/40 [01:03<00:00, 1.58s/it]\n" + ] + } + ], + "source": [ + "m_arr = np.logspace(-10, 0, 40)\n", + "with Pool() as pool:\n", + " func = functools.partial(differential_rate_mw_mass, tcad=s.cadence, tobs=s.obs_time, finite=True)\n", + " d_gamma_d_ms = list(tqdm(pool.imap(func, m_arr), total=len(m_arr)))\n", + "d_gamma_d_ms = np.array(d_gamma_d_ms)" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.loglog(m_arr/3e-6, d_gamma_d_ms, label=f'Finite Source, Roman, p={p}', color='k')\n", + "\n", + "plt.ylim(1e-18, 1e-7)\n", + "plt.xlim(np.min(m_arr)/3e-6, 1e1)\n", + "\n", + "plt.xlabel(\"Mass [$M_{\\oplus}$]\")\n", + "plt.ylabel(r\"$d\\Gamma/dM$ [events/star/hr/mass]\")\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [], + "source": [ + "roman_diff_rate_mw_interp_log = interp1d(np.log10(m_arr), np.log10(d_gamma_d_ms))\n", + "def diff_rates_m_mw_interp(m):\n", + " return 10**roman_diff_rate_mw_interp_log(np.log10(m))\n", + "roman_rates = np.array([quad(diff_rates_m_mw_interp, m_arr[i],m_arr[i+1])[0] for i in range(len(m_arr)-1)])\n", + "\n", + "mean_values = (m_arr[:-1] + m_arr[1:]) / 2\n", + "rate_interp_log = interp1d(np.log10(mean_values), np.log10(roman_rates))\n", + "\n", + "def roman_rates_interp(m):\n", + " return 10**rate_interp_log(np.log10(m))" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(mean_values/3e-6, roman_rates, label=f'Finite Source, Roman, p={p}')\n", + "\n", + "plt.xscale('log')\n", + "plt.xlabel(\"Mass [$M_{\\oplus}$]\")\n", + "plt.ylabel(r\"$\\Gamma(M)/\\Gamma_{\\rm{tot}}$ [events/star/hr]\")\n", + "# plt.title('MW lens w finite-source effects, M31 source')\n", + "plt.legend(loc='upper left')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Comparison with Popsycle" + ] + }, + { + "attachments": { + "image.png": { + "image/png": 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6UGl4ZWxYRGltZW5zaW9uPgogICAgICAgICA8ZXhpZjpVc2VyQ29tbWVudD5TY3JlZW5zaG90PC9leGlmOlVzZXJDb21tZW50PgogICAgICA8L3JkZjpEZXNjcmlwdGlvbj4KICAgPC9yZGY6UkRGPgo8L3g6eG1wbWV0YT4Kps8zAQAAABxpRE9UAAAAAgAAAAAAAABcAAAAKAAAAFwAAABcAACtMLD3QW0AAEAASURBVHgB7H0J2C5Fce4cdhBw44BXwQ1Zc+GA4IqioInijiaRRTHgDnGLWxLvBQSM3og+4oJB1CgoccEdXKKJCggalSVoVEA2QYFoEmXfzneru/qtfqt75j/nfHBY63tg6q233u6aqenumX/+Od8/zCY+S1teCOaWkqOwI0qDpbndjjvuOBuGQf9fNMwe/KAHtRnMf+QjHpl1++67r3GpE8owS/nPPvsn1uci6XOvvfZSPYTZav7aUUIQeDZ5Oz/+8bNFwyLrN+3zOuusM/vG177uWvHxH3rYYbOU345P2jzjmc90x49Mj3jEI2aDaBehFiXXHnvsMbviiisgs1zXX3/97Oijj56td491pd2i2eINF8+uvPLKfPwQ69Esne2///51H0Sb9ueqq0QLodnKvPCF+9Q2ok/7ddONN/VtpElqddjbDiv6WqOLf/UridQ+DQp1+eWXuf7TPr3hja+3PWGQapPyt/VPtfnPy6+wblObVP/rr78h1+Ye666b6794sdbGhKJ5/OMf1+Vf5x5rz77x9a9zaocPO+xtXZtnPv0Z1i3yo5EeuW4zB5htHX+HyTjJY4TO/8MfvoMcCxqgx9ns5JNPma0rx4Uxlepynw02MAE3Sa0f+UidX3nOoLsmf2p89tlnu/G31157W58M0IVxQjDX5ndRCLOtx299uZ4qywhdGCcEc5HfKlPqQtUBzDbqj3K0Fat+j7o2QjAX46/WTOtC1QHMNsYfytFWrPo96toIwVyMv1ozrQtVBzDbGH8oR1ux6veoayMEczH+as20LlQdwGxj/KEcbcWq36OujRDMxfirNdO6UHUAs43xh3K0Fat+j7o2QjAX46/WTOtC1QHMNsYfytFWrPo96toIwVyMv1ozrQtVBzDb22f8Ddi9Lj2fOYjIdnqK1SGAI5zNHvTAB+rDxPIAcr311pvdfPNN1or7e8Qj5eGjPEhaRR4Onvb900zDIOl/+MN/swdPSX/UUUcVCfLCTtE1jvxfOeEr+cFT6i8//Cz7u8Yaa8w++tGPzq6++urcWdLfeOMNsze/+c1uH/AgbLXVVp8dfPBBs89//vOzk046SXdA0p1w4omj+tRurbXWmu25556zQw87ZPa2t71t9oqXv3y28SYbmz7Fv/Odb1t+7bRu0wNI5B/KA9vzzz+/CnC4sHIMz3rWs6iNPhz+9W8ulVNootpe0Ote9zrT42Hyz3/+c6fh83/GGWdkvT4wlf6lnvvtu1/R1xypnieccIL2XWrO9bfaHHrI7O/+7u9mL3v5y2abdLX5TtPv0tlXviLns5xL7k/P50fc+bzhhnI+R/Kvttpqcj4PlvP5uXw+MV6aA+/yc/wTxxxrY6ueJ6nHfvvNfv+H38t8uHmW6vXSl710ttaaa7rxB/23vvWtWdrPQw87dPaNb9SHw/mBfTrONGdOO7XZj+r+28Sc6Y5n4vzjeDo9AtnivMLW/C4s5xyfrr/Ij9KM2q5eToW6wpYgXNiov1Wtq2eMP6vNGOjq5UQYYLAlCBc2xp9VratnjD+rzRjo6uVEGGCwJQgXNsafVa2rZ4w/q80Y6OrlRBhgsCUIFzbGn1Wtq2eMP6vNGOjq5UQYYLAlCBc2xp9VratnjD+rzRjo6uVEGGCwJQgXNsafVa2rZ4w/q80Y6OrlRBhgsCUIF3Yljr+B+rZds7zC8Nt0zJu42WfjSfzd755kD+PwgCjZ9JBxLP+O6a1OiaeHcJtvvvnsF+XBHXWZH0I9+clPsn4f/ZjHyJuWN1r6tl9uC1HmRgIHv/Wtlj/tR30gt2iWHsg97rE7zZ7ylKfM7ne/jSy/6cp+Z788oHvSk57sdsc/ANWHme1bmjh+9Lva6qvNvvilL2PXO3vNtdfONrjvff1+S/70gDZ9Rg5z9gd583X99dbPbTj/Ow8/3Prn83/jTTfPNttsM61Hqks5viOPPLLvvyTUB7H17dZ0PA+St5XT26Zj9d9jj+fXmpb+uf6oR7Ylnh56fvFLX7J9zoAO+K1vPaT2mc4P/b/G6mvMdtppp9lTn/LU2UYb+fOZxp/ly1iP40m7PsnnEo/Saawhkpve3l1THphyfuBVV1k1jy34aZxt/Udbj+ZPD12TLj3kxSfNmVwn4bfYcovZz3/mH3an/OnB7ZOe5OfMjTfQnCmd8a7z+WceeWG7WEM0bm6WuZEAU5G/VqMiVL3aLtYQjRv1lwrkmowUhqkYf7UaFdVxB9TFGqJxY/zF+Iv5l2bByMRgKtafWo2K8vLhNl2sIRo3t83cSICpqH+tRkWu9LWWTDfixq1tRgJMRf1rNSriQivuYg3RuFF/qUCuyUhhmIrxV6tRUYy/tgJdbRqicWP+3cXnn72xqgOlPf3sMy7DaoTCneLP5GHoh44+anbA/gfIP6Vfu7ypt8ge/qSHVukh0/6vfKXojp796pL6z8nxVQB4yLS2tH/LW/529sUvfnF22qmnzY499tjZdtttZw+oNtlkk9lFF17kdkp3TbZj+zj524Aq/uu//mvrHw/Y0v6kB5B4gJV9eUPw7W9/e3kA5h8gPupRj5wd8Z4j8gO1snPZLJUHXAcedGDtPz3oKw/xkAPHnuz9H3B/9xDN+pLdPfmkk2fvfe97Z9v8723yvnE79LXXXnvOjvrQUbPf/Oay3PTL8hAyPXB96EMfWveB8qeHfPvss8/swx8+On/twAUXXjA74oj3zNLXObTHn3Kkh4D7/sW+s49+5KOzK/7zitlN8gD2o//4jzM8JM0PYMuDSdRum223mb3rXe+anXfuuXY46WSlC9lBBx5U92ukNugj1+b+qTafd30kR8+kbMsp/eu/SeeTzh0db65Z8dMbn+94+ztG8z/qUY+avfeI984uu0zriL4pOWdWXPJD894jjtC+J/Knfdn0oZvOTj311PpGNmlR/3TuLvnVJeh29ogd04PVOv7WWrvMmS/InJE3WHXObG9jd5MHypy5CHMG3TQ76w6wjenhoWW1qrPtSLOpt6HtZFln3JhxEYxQ6ENDsh3TLMf81wzcmHHkzxUYKQkKriHZjmmi/mUAtaYtFvuMY/zF+JMKjAwJkBqS7Zgm5l878SYmFBeP8YQ806qz7UizuP6NFSUVr+XZZxz1p6FWigGjdbLtSNli/I0VJdWv5dlnXGo9QqEPDcl2TBPrLwZrY9tisc846p8rMFISDDgNyXZME+OvGXdw22KxzzjGX4w/qcDIkACZH6zyb2U0QC0yVD9tKVJwz6Siv+c97ykPcerDHjzA0gdjhS8PjY495pjUTD5LZ4+Q74vcYPEG8s/Unz17mDxk0oeO1E9ps8pqq85e/1evyw//0FZts807zvvp41PHf8op35s9R/Zh0SrpzcU+/xZbbTn71jf/eXatvC2aji0d15ZbbDE75JBDZuedd15NMpH/+M9+drbLLrvkB5NdTeQY11//nrNDDzl0dvU1V+W+cje111z/P/vT59lDQHvgWOrj+pR9w1cSLNl223o8Y9rEZX7R7KfyPbYfOPL9VS/92ENg0VjOcvzf+uY3ZzfIVySsv/76y3X+Dz/8nflhaj0sPcrjP3e81GbX2VpryNuZZV/y+Cn5U/+HHHro7JqrtTbafuIcl/qfcsops2c/59n5KybsfOa+y7nbcsvZN9P5vO4ay7nl5nI+D32rnM9f5npzBsU9U4+loJIf/PHHHz9be+119LxR/vved4PZQfLAPeXHZ/dnP8f2Bce/8xN2nl166aVu/qWvAli8wX1nz5avdtj0YTJnyvmw40x1k/9XzXPmr2TO1LpNjf+8D/nw6pH2R9sz2HezSTJ5MU+htg/yM1Q/bSnijl9zcdSyayOXg2KpTxdrsuQutd8mEvlzGbU2WlHGVONcuIlY1D/GX8y/drJUP08bnTt5GtVIrD+5FryuMG4K5cYYxQTG+s91a0ZZDmm8icT4i/GXZg9NJsYNHfOPCuJhrD88bppVJoc03kRi/cnDSGujI4oxjbFcuImYyGL8cW1ysWrxckjjTSTGX66S1kYLxriWMBfqbrb+L0qHnx+55OeG+pQnQ3kKIw+0lvuTntqkT27iHOV524UTQfnP/cU5wz3vec9ho/ttlJtdedWVwwW/vGA475fnDRdeeOEg/xR62Hbb7YYl2287rLfuelnj+nQOZ1bchZv87fGff8H5w7+f+e/DxRdfNFx/ww3D/TbacNh6622GHXZ8uOZeOhsOf/e7BnlIOuy4ww76CCtFJurX5r/2mmuHk7930nDmGWcNq6y62rDFZpsNW2219fCQhz54WHXVVXWnl7F1fTqnb9iFE0H1b4+/76FnXJ/OWYY2hRfILw+th5NPOXk4K9dmlUG+GmLYequthgc/5KFSm1Wsc5fSOSYx8Mvzzx/OOuvM4ZKLfyXn88Zhow03HP5om62HHR6+oz59vHnp8O53v3vYZdddhh3S+VyOj0vpnL5xCv/ud78dTv/Rj4ezf/LTYc011hg22+Jhwy5P3HVYXTDXXy56w4lfPXE45+fnDPe9732Gx++887Dpppt2nf7iHJ0z99tI5owkkD9wNpx/4fnDL8/75XDhRRdKjjWHJUuW5P/XXU/njA3PtEN30PPfHegE4UrunL5BF47jj/Mf4z8tAnUpTtPGFoh+DrWMm1POaZUjl8eYfzH/Yv7lCWdTIU2bmH/94jHBuCXHOX2DLmxFj/XPSpHKFuOvHzwTjBtTzukbdGEreow/K0UqW4y/fvBMMG5MOadv0IWt6DH+rBSpbDH++sEzwbgx5Zy+QRe2ot91xt+i9IzZj598lKUaVIJCczSJ1J8IoqYSnsmNs/xTZeo34fRMt7Ia5AwJp49oJ1IoPRHUxrlt5OdKl3pF/WP8xfyzVUmXC8yN5CWcPrH+xPrrhkEeFWmjo6WMGR46plBRXH/i+lPvdDBQ4v6HR4VOGdQmeQmnT6y/sf66YZBHRdroaCljhoeOKVQU6y/PNBQq1h+uig4Z1CZ5CadPrD+x/rhhkEdF2uhoKWOGh44pVBTrD880FCrWH66KDhnUJnkJp0+sP3e29UfeWJXXLeXE5dPJ51TPaN5O0KRYGLr2yUkfGSv60WjeOiHiWLyqv6LIdZuc9In8Wge+NLhClbCYCboKloFc+6i/VivGXxk1Ojry1g2UOqgm6CpYBnLtk5M+UX+tQ8z/PBjyGHEDpZRHzARdBctArn1y0ifGn9Yhxl8eDHmMuIFSyiNmgq6CZSDXPjnpE+NP6xDjLw+GPEbcQCnlETNBV8EykGufnPSJ8ad1iPGXB0MeI26glPKImaCrYBnItU9O+sT40zrE+MuDIY8RN1BKecRM0FWwDOTaJyd9YvxpHWL85cGQx4gbKKU8YiboKlgGcu2Tkz4x/rQOK2n86VcBpBSu+iUnjHxbwCB/gShp0uutdk4QX8DWbsd+O0ENq5DIAiN/1D/GX8y/WH9i/Y3rT1x/+zuESabeVsT9R/92BJWtForIAuP+K+6/4v4r7r/i/ivuv+L+K+6/+juESabeVsT9V9x/1X+z1Q2YOlC6kPwhqDvd/dfIVwGU48oHk/D4Y9SF6pAf0qI8o81LazGTD2ojfyn9aAEXfA4e9cfgmxq+Mf7y4Ir5F+vP1I1yrL+x/uZLT1x/6GpisFxBzHcgBfEZLV9cf+L6IwMjrr9x/ZVhML5EyODIgdFo3P/L+jpeGQnE+ourz0SR4vqTCxPrb6y/soiMriPx808pzGh14vqzjOuPfRVAXonLeltXZb1G1dLWBTmPxhG9ttUAwrDWryPIIQitp4oHEhZisxpAGLYJF5eiBKH1VPFAwkJsVgMIwzbh4lKUILSeKh5IWIjNagBh2CZcXIoShNZTxQMJC7FZDSAM24SLS1GC0HqqeCBhITarAYRhm3BxKUoQWk8VDyQsxGY1gDBsEy4uRQlC66nigYSF2KwGEIZtwsWlKEFoPVU8kLAQm9UAwrBNuLgUJQitp4oHEhZisxpAGLYJF5eiBKH1VPFAwkJsVgMIwzbh4lKUILSeKh5IWIjNagBh2CZcXIoShNZTxQMJC7FZDSAM24SLS1GC0HqqeCBhITarAYRhm3BxKUoQWk8VDyQsxGY1gDBsEy4uRQlC66nigYSF2KwGEIZtwsWlKEFoPVU8kLAQm9UAwrBNuLgUJQitp4oHEhZisxpAGLYJF5eiBKH1VPFAwkJsVgMIwzbh4lKUILSeKh5IWIjNagBh2CZcXIoShNZTxQMJC7FZDSAM24SLS1GC0HqqeCBhITarAYRhm3BxKUoQWk8VDyQsxGY1gDBsEy4uRQlC66nigYSF2KwGEIZtwsWlKEFoPVU8kLAQm9UAwrBNuLgUJQitp4oHEhZisxpAGLYJF5eiBKH1VPFAwkJsVgMIwzbh4lKUILSeKh5IWIjNagBh2CZcXIoShNZTxQMJC7FZDSAM24SLS1GC0HqqeCBhITarAYRhm3BxKUoQWk8VDyQsxGY1gDBsEy4uRQlC66nigYSF2KwGEIZtwsWlKEFoPVU8kLAQm9UAwrBNuLgUJQitp4oHEhZisxpAGLYJF5eiBKH1VPFAwkJsVgMIwzbh4lKUILSeKh5IWIjNagBh2CZcXIoShNZTxQMJC7FZDSAM24SLS1GC0HqqeCBhITarAYRhm3BxKUoQWk8VDyQsxGY1gDBsEy4uRQlC66nigYSF2KwGEIZtwsWlKEFoPVU8kLAQm9UAwrBNuLgUJQitp4oHEhZisxpAGLYJF5eiBKH1VPFAwkJsVt5Ntj9eBRGsiXqgkmlhH2mZ6hsCgO3TGqOSaWEfaZnqGwKAtWw9UMm0sI+0TPUNAcD2aY1RybSwj7RM9Q0BwFq2HqhkWthHWqb6hgBg+7TGqGRa2EdapvqGAGAtWw9UMi3sIy1TfUMAsH1aY1QyLewjLVN9QwCwlq0HKpkW9pGWqb4hANg+rTEqmRb2kZapviEAWMvWA5VMC/tIy1TfEABsn9YYlUwL+0jLVN8QAKxl64FKpoV9pGWqbwgAtk9rjEqmhX2kZapvCADWsvVAJdPCPtIy1TcEANunNUYl08I+0jLVNwQAa9l6oJJpYR9pmeobAoDt0xqjkmlhH2mZ6hsCgLVsPVDJtLCPtEz1DQHA9mmNUcm0sI+0TPUNAcBath6oZFrYR1qm+oYAYPu0xqhkWthHWqb6hgBgLVsPVDIt7CMtU31DALB9WmNUMi3sIy1TfUMAsJatByqZFvaRlqm+IQDYPq0xKpkW9pGWqb4hAFjL1gOVTAv7SMtU3xAAbJ/WGJVMC/tIy1TfEACsZeuBSqaFfaRlqm8IALZPa4xKpoV9pGWqbwgA1rL1QCXTwj7SMtU3BADbpzVGJdPCPtIy1TcEAGvZeqCSaWEfaZnqGwKA7dMao5JpYR9pmeobAoC1bD1QybSwj7RM9Q0BwPZpjVHJtLCPtEz1DQHAWrYeqGRa2EdapvqGAGD7tMaoZFrYR1qm+oYAYC1bD1QyLewjLVN9QwCwfVpjVDIt7CMtU31DALCWrQcqmRb2kZapviEA2D6tMSqZFvaRlqm+IQBYy9YDlUwLc2QmH98UDUCn91UF49/sI6wsvUaNAKzvFZ5FMzAPYeo1xdIn8kf9ZSzE+LOpgEnnZw88WJ097daiGZhHMnDJpk/Mv5h/MhZi/tlUiPmnKwNWCu95VmN1a9EMzKsC+0dGKZY+sf7E+iNjIdYfmwqx/ujK4FcPeLCqabcWzcA8koFLNn1i/Yn1R8ZCrD82FWL90ZUBK4X3PKuxurVoBuZVQdz/SC3KmpurEutvrL8yT+5k6++imbyyOiwam+A01wWOK8DCNm1S1+lL76W1++JekaNO2vF4e+5tXAEWlltIjsgf9Y/xF/Mv1p9Yf+VmLV2J8kcuF3H90dvXuP7KiIj7n1QEnRsT24k7rNJuIhr3X3H/FfdfMkfi55/4+S/uP+wKE/dfcf8pgyGPh3zrMH7/wLci4wqwsNwinv/E86/b7/mjfMdqKj/dVptjwI/WEQ/K1FH+46HFmhQCIzxwYXMMePGIB2Xkj/rH+EsXFB0HNlUwQYzwwIXNMeDFIx6UyAtrUgiM8MCFzTHgxSMelMgLa1IIjPDAhc0x4MUjHpTIC2tSCIzwwIXNMeDFIx6UyAtrUgiM8MCFzTHgxSMelMgLa1IIjPDAhc0x4MUjHpTIC2tSCIzwwIXNMeDFIx6UyAtrUgiM8MCFzTHgxSMelMgLa1IIjPDAhc0x4MUjHpTIC2tSCIzwwIXNMeDFIx6UyAtrUgiM8MCFzTHgxSMelMgLa1IIjPDAhc0x4MUjHpTIC2tSCIzwwIXNMeDFIx6UyAtrUgiM8MCFzTHgxSMelMgLa1IIjPDAhc0x4MUjHpTIC2tSCIzwwIXNMeDFIx6UyAtrUgiM8MCFzTHgxSMelMgLa1IIjPDAhc0x4MUjHpTIC2tSCIzwwIXNMeDFIx6UyAtrUgiM8MCFzTHgxSMelMgLa1IIjPDAhc0x4MUjHpTIC2tSCIzwwIXNMeDFIx6UyAtrUgiM8MCFzTHgxSMelMgLa1IIjPDAhc0x4MUjHpTIC2tSCIzwwIXNMeDFIx6UyAtrUgiM8MCFzTHgxSMelMgLa1IIjPDAhc0x4MUjHpTIC2tSCIzwwIXNMeDFIx6UyAtrUgiM8MCFzTHgxSMelMgLa1IIjPDAhc0x4MUjHpTIC2tSCIzwwIXNMeDFIx6UyAtrUgiM8MCFzTHgxSMelMgLa1IIjPDAhc0x4MUjHpTIC2tSCIzwwIXNMeDFIx6UyAtrUgiM8MCFzTHgxSMelMibbXmuanIVQaq049DaWiwL1L4yko29LTTS1OUqccdF/uap2UgRHaXVS1RGson6SwldjarjxlqhHRfjL8ZffgunjpmFkY6epMlINjH/Yv7F+jM+a9xaWySOi/U31t9Yf8cnzyirsyeFMpJNXH/i+hPXn9HJonOkbKGI60+aL2UdietvXH/j+oulYTlsmTeizEg2cf29619/8xurdXTUQYB1tAwHk5DC3ozDgJl8WlU7s37GAfVu0EBuwh7W+MxxoOt8wSCpSWfQQOSXCnA1ov56jc014cLQiFK4YJDUpDNoIOvYi/pH/fMb2jIyFv7XzDxqaLh1kHQGDcT4kwpwNWL+xfyL+VfmBE+MhdaVLsYEdWLQQBayF/Mv5l/Mv5h/eU3ghYGXlG7V6IJEUCcGDXQ9xfoT60+sP7H+5BXCLxO0piS4YJC0pDNoIOvYi/Xnjrv+NA9W/RDgk0hnv0CNLqyprVp19kcaM8W49gSk0YU10OK4qjqj6pqQKcYmMKDRhTUmLlOrqjOqrgmZYmwCAxpdWGPiyC+lsN+6Cs51GykeU4xrJYE0urAG2hh/bbWyP1I8phjXSgJpdGENtFH/tlrZHykeU4xrJYE0urAG2qh/W63sjxSPKca1kkAaXVgDbdS/rVb2R4rHFONaSSCNLqyBNurfViv7I8VjinGtJJBGF9ZAG/Vvq5X9keIxxbhWEkijC2ugjfq31cr+SPGYYlwrCaTRhTXQRv3bamV/pHhMMa6VBNLowhpoo/5ttbI/UjymGNdKAml0YQ20Uf+2WtkfKR5TjGslgTS6sAbaqH9breyPFI8pxrWSQBpdWANt1L+tVvZHiscU41pJII1OaezB6pQgnRL94nFSGDSAbMVO8SmMGKw28V7pJpvIH/VPX/xOI8SgAR4wgqf4JEMMVpt6TzlEov5R/xh/NEMMGuAJI3iKTzLEYLWp95RDJOZfzL+YfzRDDBrgCSN4ik8yxGC1qfeUQyTmX8y/mH80Qwwa4AkjeIpPMsRgtan3lEMk5l/Mv5h/NEMMGuAJI3iKTzLEYLWp95RDJOZfzL+YfzRDDBrgCSN4ik8yxGC1qfeUQ+TOOP/kwepSOSb6xh07QgN8lA57BR6AFokLilO+WAKvL9eOnLDW3U5AVbbIt4z8OgCj/rkCbnDE+Iv5J2uc/Bfrj/7zibqWuokS66+Vw0AtVYO8Iq4/cf1JP4CUjxsc4sT9T6y/cf2J668sBemfD9ePWyji+mvlMFBL1SCviOtvXH/j+mtLi5sc4sT9R9x/xP3HbXb/YW+s0hU9X77qZaqi5rrWNrGwm9PCwlfLW2tCKuVq1opYnTE6bgItDZ8zg6tNPVOzVlS1BfkmFm5p+Gp5a00EQKVczVoRqzP2TSzc0vDV8taaCIBKuZq1IlZn7JtYuKXhq+WtNREAlXI1a0Wsztg3sXBLw1fLW2siACrlataKWJ2xb2LhloavlrfWRABUytWsFbE6Y9/Ewi0NXy1vrYkAqJSrWStidca+iYVbGr5a3loTAVApV7NWxOqMfRMLtzR8tby1JgKgUq5mrYjVGfsmFm5p+Gp5a00EQKVczVoRqzP2TSzc0vDV8taaCIBKuZq1IlZn7JtYuKXhq+WtNREAlXI1a0Wsztg3sXBLw1fLW2siACrlataKWJ2xb2LhloavlrfWRABUytWsFbE6Y9/Ewi0NXy1vrYkAqJSrWStidca+iYVbGr5a3loTAVApV7NWxOqMfRMLtzR8tby1JgKgUq5mrYjVGfsmFm5p+Gp5a00EQKVczVoRqzP2TSzc0vDV8taaCIBKuZq1IlZn7JtYuKXhq+WtNREAlXI1a0Wsztg3sXBLw1fLW2siACrlataKWJ2xb2LhloavlrfWRABUytWsFbE6Y9/Ewi0NXy1vrYkAqJSrWStidca+iYVbGr5a3loTAVApV7NWxOqMfRMLtzR8tby1JgKgUq5mrYjVGfsmFm5p+Gp5a00EQKVczVoRqzP2TSzc0vDV8taaCIBKuZq1IlZn7JtYuKXhq+WtNREAlXI1a0Wsztg3sXBLw1fLW2siACrlataKWJ2xb2LhloavlrfWRABUytWsFbE6Y9/Ewi0NXy1vrYkAqJSrWStidca+iYVbGr5a3loTAVApV7NWxOqMfRMLtzR8tby1JgKgUq5mrYjVGfsmFm5p+Gp5a00EQKVczVoRqzP2TSzc0vDV8taaCIBKuZq1IlZn7JtYuKXhq+WtNREAlXI1a0Wsztg3sXBLw1fLW2siACrlataKWJ2xb2LhloavlrfWRABUytWsFbE6Y9/Ewi0NXy1vrYkAqJSrWStidca+iYVbGr5a3loTAVApV7NWxOqMfRMLtzR8tby1JgKgUq5mrYjVGfsmFs70LH/0t6iuC2qkkLYUyzuU/fQ4XPq2X5mkPEIs9CfQyq7gLbLIT79zpFoqpC3Fov5SjFyPGH8x/2L9ifW3XFSySWuDrAvumsRxxXH9ieu//hGKuP7aOz90j6GQthSL+w8pRq5H3H/E/YdcT9y1Jo2NuP74msT1t61A3H/E/Ufcf6TLaNx/xf1XuYDSPaZC2lLsjnr/SW+sNsu92/kUY6JMAaasOU0Pixso3ZBv7RrQSZiI/HkJ4pJY+aL+tjxbfQzE+MuloHrYuGlAJ2Ei5l/MP7kF4CFhwyfWn1h/yu2hjQ8Dsf7mUlA9bN40oJMwEetvrL+x/sb1R9YM9yA3rSFx/Y3rb1x/87SwS6aBuP/IpaB6NLcd5nYSJuL+I+4/4v5jwfuP9MKqTiadOH76lOs2k1lMRIbqp2361Gt91QHBqpK3GuG4YQPQE5Gh+mmbPpFf61CuItlBxWChqLbWEPUzrQGoichQ/bRNH7SP/LVOQLBaKd5qhOOGDUBPRIbqp236RP21DjH+6jgBgkWFqtUIxw0bgJqIDNVP2/SJ8ad1iPFXxwkQLCpUrUY4btgA1ERkqH7apk+MP61DjL86ToBgUaFqNcJxwwagJiJD9dM2fWL8aR1i/NVxAgSLClWrEY4bNgA1ERmqn7bpE+NP6xDjr44TIFhUqFqNcNywAaiJyFD9tE2fGH9ahxh/dZwAwaJC1WqE44YNQE1EhuqnbfrE+NM6xPir4wQIFhWqViMcN2wAaiIyVD9t0yeNv/zGqskM5LicFyHKN61byEDRwLT8qA+yWG94HGivkT/qH+MvzwXMHPfiOOZesiYo5KgPslhvRvoQQdQ/FxSV6+pcyt3x1oDPB8hivYn6ozxWUyFi/MX4kwrY0DCAQVJsy4/6IIv1hpKgTxHE+MvFQOXqiYj6uwpYgTB2xNaf8MrYgqhYb2L8oTwobNz/x/oT62+eDTY1DGCSFNvyoz7IYr2J9QflQWlj/Yn1J9afWH+kArY0GMAiUWzD168CoEWEm0APyzHgGqsIMdgc6cJERH5bxFCzZFEhWI4B11hFiMHmSBcmIuof9S8XEYyZZDFCYDkGXGMVIQabI12YiBh/Mf5i/GG6mMUMgbUAgRqriMIZ5kgXJiLmX8y/mH/ttInrn1QkPR+mlWKyRgupYv2ROnZFJCLW31h/Y/2dXFtopkxqYv2ZrlKOdGEiYv2J9SfWn8m1hWbKpIbXn/pgleVtL61v2j7QMyauQEQzucso3wRTeaC2k9aHbuR2b1JqbQRE/qh/jL+Yf+6VIlog2kWk9U3aB3rGxBWIKNa/WP/j+sev9NXp0V3WJydVH+gZ6hcw5l+sP3H9j+t/XP+xInrbLqKtb+o+0DMmrkBEcf8T9z9x/xP3P3VRINQuIq1v0j7QMyauQESx/sT6szLXH/9gNQ84/Q11HoUTv8WwEUqjWCERSQQ327RJlBxO4RHOAQ3KgI/8ttxG/Ud/i8TjBffGOpaaEQU327SJ8RfzL9afWH9lIZBFFstDXhh0cYjrT1x/cUmRASIjZOS3+DxeINax1IwouNmmTVx/4voT15+4/shCENefuP7qMEiXBf3IJSJ+/s1To9RDChLXX4yO3ub7Chs6sqQQkWi42aZN3H/E/Ufcf9wW9x/6YBUTME893XiKPIIknw+iL1jqxVPkEST5fBB9wVIvniKPIMnng+gLlnrxFHkEST4fRF+w1IunyCNI8vkg+oKlXjxFHkGSzwfRFyz14inyCJJ8Poi+YKkXT5FHkOTzQfQFS714ijyCJJ8Poi9Y6sVT5BEk+XwQfcFSL54ijyDJ54PoC5Z68RR5BEk+H0RfsNSLp8gjSPL5IPqCpV48RR5Bks8H0Rcs9eIp8giSfD6IvmCpF0+RR5Dk80H0BUu9eIo8giSfD6IvWOrFU+QRJPl8EH3BUi+eIo8gyeeD6AuWevEUeQRJPh9EX7DUi6fII0jy+SD6gqVePEUeQZLPB9EXLPXiKfIIknw+iL5gqRdPkUeQ5PNB9AVLvXiKPIIknw+iL1jqxVPkEST5fBB9wVIvniKPIMnng+gLlnrxFHkEST4fRF+w1IunyCNI8vkg+oKlXjxFHkGSzwfRFyz14inyCJJ8Poi+YKkXT5FHkOTzQfQFS714ijyCJJ8Poi9Y6sVT5BEk+XwQfcFSL54ijyDJ54PoC5Z68RR5BEk+H0RfsNSLp8gjSPL5IPqCpV48RR5Bks8H0Rcs9eIp8giSfD6IvmCpF0+RR5Dk80H0BUu9eIo8giSfD6IvWOrFU+QRJPl8EH3BUi+eIo8gyTvo31i18EjrESrLM09Bgwb8L05Kjhq1pARGoiNU5JcK5LpQcQwaiPpLmdJbwLUiHudx5DasLIERKkcyT0GDBixvZSI/18KVvhbV01MNMk9Bgwai/lLJGP9+ztXR4YeZeiPRESprM09BgwZi/MX4i/knY6DOCI91zvGWlYUfoXIk8xQ0aMDyVibycy248opHoiNU1F8qkOtCxTFoIMaflCnuP/yaU0eHzji/HYmOULlN5ilo0ECMvxh/Mf9kDNQZ4bGfe8ljZYmOUDmSeQoaNGC9VWY0Q0mUDCsLPULlSOYpaNCA9VaZ0QwlUTKsLPQIlSOZp6BBA9ZbZUYzlETJsLLQI1SOZJ6CBg1Yb5UZzVASJcPKQo9QOZJ5ChYoD1aXzmby7w/wxj1JSo81DceAYU3cAVYwhnAm/+Iu8kf9dTyMj5DpG7MxPUZW3+OYOsZfzL9Yf2L96VcLrCNYNWATDwwLbW9ZwRjKWH9i/Yn1J9YfXQ/GV4i4/5l6MDdWL6ysfUXH1LH+xvob62+sv/1qgXUEqwZs4oFhoe0tKxhDGetPrD+x/tzV1h96Y7VM+mx4AWA+LQYcw+Kw/NZaC3DfJ4N+s8BUNZ9RBpY/KSmttYDIrzfsWp5SmWysSlF/Ny5Tpbg2WrkV2VprATH+YvylHxj1U0ZGNjZKJMR8UnJMW67I1loLiPEX4y/GH2YPzzObJXW+GWUADVfIWmsBMf9i/sX8w/QpMyMbmyUx/3C9t5IYQOFWyFprAbH+xPoT6w+mT5kZ2dgsifUn1h8ZAzJLbEgYwMBZIWutBcT6e9ddf+nBqh8fNgBANwOB/66DaqkFYLbyGxkZmHUBTx1CgM572ymE4IEY+WVQlqJqrahigNlG/WP8xfyL9YfXWCwQzHncKYSI9bfeCMT1J64/cf3VNUPXCloxALON+4+4/4j7j7j/4PsLLBDMedwphIj7j7j/wDyK+6+4/4r7r7j/ShXQawVdMQCzvX3uP+3BapeeVy5/zctep3cad2Q10tEgUnGa28/IX1fOWkFDXb0skgDqCluCcGFNF/Xv6hnjL8YfrtxubqnTjRenwQSDjfmXK4BywMb6I2XRHxW68RTrT6w/sf64VZWdbr5w0NYVW2g0ChfWdHH/09Uz1p9Yf2L9casKO9184aCtK7bQxPqTKoBywBoR6283nmL9jfU31l+3qrLTzRcO2rpiC41G4cKa7tZffxalr1htXieldJIwhcsJtv1xB+H32UKNuHGzLHMjAaYif9Q/xh8evuAxjM0yAzxn6uSysJvTYGP+ST27wtX7v1SnWH9i/Yn1J9afvBbIBm/MJJ8/3TLSEI2bm2ZuJMBUrD+x/sT6E+tPWjB4XeC1ZzTWiBs3N8/cSICpWH9i/Yn1J9af0TWGFiFeM+riUgVdXEKZGwkwFetPrD93xvXH3ljVKcBDOjHsM1a1CxcKbVQtW/73G9BM/jamzcE+48ifKzBSkqi/FsW2Mf76pwEx/6QmY49I2gnFPuNYf2L9kQqMDAmQGpJtrD+x/rRLTay/sf7G9adcRNm0Cyr7jEubESrWXy2KbeP6E9efuP7wIiNLhMyOWH99TbLXLqjsM471d7RcRGq1ZBvr791y/c0PVvm3AnpjkkZIWY3zCLFhkocO1unKeiaLeJOE6afQ0cUsrXP1qXzkz8WSekX98xDKgyxv8nOMxPnRprGsHX/SUYaU6GL8aZmabcy/WH/wW8FYf9N6kj6x/uYy5OVV19imMmW11VjWxvpbx40WpJYl1SauP1wVw3H9ietPXH/4rjZNjbj+5AUiX170GpO26cOVWuSuOapTFW1zQ9nE+ktFqTDW31h/Y/3lVSXNjVh/8wqRl1RdV/MyWisT9/+5FlqbXCu6Fukbq03x8j+PTUqMNW214NYV3Tl9sy4c+aXWuQh6aroC9TVsGdfEOa2ye3SiROSXQpXbtGXUr69oU9NltO/CiYj6R/1j/MX6h6UgLTJx/U1VWK6PW1Od0zfvwrH+xvUnrr8yUeL+x5aCtGzE+tsvnhOMW1Od0zfowlb0GH9WilS2GH/94Jlg3JhyTt+gC1vRY/xZKVLZYvz1g2eCcWPKOX2DLmxFj/FnpUhluxOPv0XyFavpZWX65EMrPg2BQnM0idSfCKJXCc/kxrX+bVD0MvYVtIih92RlDydSKD0RjPxaASlP1D/GX8w/rHRlvZBFhUeFTRZb0ZMufWL9ifXXDYM8KtJGR1IZTxhWFi1A+Fh/eaahUDH/uCo6WlCb5CWcPrH+xPrjhkEeFWmjo6WMGR46plBRrD8801CoWH+4KjpkUJvkJZw+sf7E+uOGQR4VaaOjpYwZHjqmUFGsPzzTUKhYf7gqOmRQm+QlnD6x/sT644ZBHhVpo6OljBkeOqZQ0W29/sgbq0tld+hJuYzh9jO1v61uynftk5M+lkejeeuEKkvbCboKloFc++SkT+TXOvDQdIUqYTETdBUsA7n2UX+tVoy/Mmp0dOStGyh1UE3QVbAM5NonJ32i/lqHmP95MOQx4gZKKY+YCboKloFc++SkT4w/rUOMvzwY8hhxA6WUR8wEXQXLQK59ctInxp/WIcZfHgx5jLiBUsojZoKugmUg1z456RPjT+sQ4y8PhjxG3EAp5REzQVfBMpBrn5z0ifGndYjxlwdDHiNuoJTyiJmgq2AZyLVPTvrE+NM6xPjLgyGPETdQSnnETNBVsAzk2icnfWL8aR1W0virf7zKVb/khMGXPYtm7Lt4IRuztdux385QiyokssDILxNBZkLUP8afDANbE/uZ0jF1WsX86387SuWqhSKywFh/Yv2J9TeuP3H9jetvXH/j/qO/Q5hk6m1F3H/F/Vf9N2PdgKkDpQvZH1uK609cf+L6E9effoWYZOqyEtef2/L6M/JVAOUc5YcJCY8/xqknbOScpiA+o81LazGTD2ojfyn9aAEX/i1G1B+jb2L4xvjLhYn5F+vP1I1arL+x/uZLT1x/6sWkonIFqQSjuP7WaowOn7j+xvVXBkbcf8T9hwyD8SVCBkcOjEbj5x9ZYccrI4G4/sT1BxUYHSRx/Y3rrwyMuP6utOuvfRVAnodlvmFOJuupOiHzqu6D1EwDCMOawBHkEITWU8UDCQuxWQ0gDNuEi0tRgtB6qnggYSE2qwGEYZtwcSlKEFpPFQ8kLMRmNYAwbBMuLkUJQuup4oGEhdisBhCGbcLFpShBaD1VPJCwEJvVAMKwTbi4FCUIraeKBxIWYrMaQBi2CReXogSh9VTxQMJCbFYDCMM24eJSlCC0nioeSFiIzWoAYdgmXFyKEoTWU8UDCQuxWQ0gDNuEi0tRgtB6qnggYSE2qwGEYZtwcSlKEFpPFQ8kLMRmNYAwbBMuLkUJQuup4oGEhdisBhCGbcLFpShBaD1VPJCwEJvVAMKwTbi4FCUIraeKBxIWYrMaQBi2CReXogSh9VTxQMJCbFYDCMM24eJSlCC0nioeSFiIzWoAYdgmXFyKFnjzzTcPD3/4DsNVV/1heNWrXzO89jWv8Vo0gbWOATSAMCyi/qaGogSh9VTxQMJCbFYDCMM24eJSlCC0nioeSFiIzWoAYdgmXFyKEoTWU8UDCQuxWQ0gDNuEi0tRgtB6qnggYSE2qwGEYZtwcSlKEFpPFQ8kLMRmNYAwbBMuLkUJpuDSpTcP223/8OGqK68cXiNz4DWvebWw+gNR3H9LKZp6pZrpRwMIwyLq21GUILSeKh5IWIjNagBh2CZcXIoShNZTxQMJC7FZDSAM24SLS1GC0HqqeCBhITarAYRhm3BxKUoQWk8VDyQsxGY1gDBsEy4uRQlC66nigYSF2KwGEIZtwsWlKEFoPVU8kLAQm9UAwrBNuLgUJQitp4oHEhZisxpAGLYJF5eiBKH1VPFAwkJsVgMIwzbh4lKUILSeKh5IWIjNagBh2CZcXIoShNZTxQMJC7FZDSAM24SLS1GC0HqqeCBhITarAYRhm3BxKUoQWk8VDyQsxGY1gDBsEy4uRQlC66nigYSF2KwGEIZtwsWlKEFoPVU8kLAQm9UAwrBNuLgUJQitp4oHEhZisxpAGLYJF5eiBKH1VPFAwkJsVgMIwzbh4lKUILSeKh5IWIjNyrux9serIII1UQ9UMi3sIy1TfUMAsH1aY1QyLewjLVN9QwCwlq0HKpkW9pGWqb4hANg+rTEqmRb2kZapviEAWMvWA5VMC/tIy1TfEABsn9YYlUwL+0jLVN8QAKxl64FKpoV9pGWqbwgAtk9rjEqmhX2kZapvCADWsvVAJdPCPtIy1TcEANunNUYl08I+0jLVNwQAa9l6oJJpYR9pmeobAoDt0xqjkmlhH2mZ6hsCgLVsPVDJtLCPtEz1DQHA9mmNUcm0sI+0TPUNAcBath6oZFrYR1qm+oYAYPu0xqhkWthHWqb6hgBgLVsPVDIbbpIHoMd87Jjh3PPOHd7+9rebsO+iZapvCEDsd777nWGXXXbJz46O+cQnhxfsvZf1nYBK0WAYzjnnnOFHP/pR/v/yyy8fHvTgBw9bbbXlsPvuuw/r3mNda1E7qW0NAcBWcYdUMi3sIy1TfUMAsF3WSqhkWthHWqb6hgBga7oOqWRa2EdapvqGAGC7rJVQybSwj7RM9Q0BwNZ0HVKJbm++6ebhYx//2HDeeefZHOi7aJnqGwKAlazf/c53hifusqvMg9lw7Cc+Mey99955X1RCwrKH55wr8+CHPxp+KHPhiisuHx4s82DLLdI8eM6w7rrr0XHUtoYAYEndQpVMC/tIy1TfEABsm5R8lUwL+0jLVN8QACzla6FKpoV9pGWqbwgAtk1KvkqmhX2kZapvCACW8rVQJdPCPtIy1TcEANsmJV8l08I+0jLVNwQAS/laqJJpYR9pmeobAoBtk5KvkmlhH2mZ6hsCgKV8LVTJtLCPtEz1DQHAtknJV8m0sI+0TPUNAcBSvhaqZFrYR1qm+oYAYNuk5KtkWthHWqb6hgBgKV8LVTIt7CMtU31DALBtUvJVMi3sIy1TfUMAsJSvhSqZFvaRlqm+IQDYNin5KpkW9pGWqb4hAFjK10KVTAv7SMtU3xAAbJuUfJVMC/tIy1TfEAAs5WuhSqaFOTKTj2+IBqDlN+TpRxn8m32Elc0//Gh7BGB9r/AsmoF5CIsFl2z6RP6ov4yFGH82FTDpMFN0nsCDVbbdWjQD80gGLtn0ifkX80/GQsw/mwp39/l38+zm4RPHHDu89dBDhwvOv2BYst22w5lnnFHXChQorx9+g9VFL/PmkWg2vPa1rxuOOOKIYfXVV5MHRP853Ote9xwdf5dfccXwkhe/ZDjhxK/kKUqdZHjve997ePOb35z/R8wyZmAewmLBJZs+sf7lmsT8t6GQhsRS+aXCx489djjs0MOG8y/45bBkW5kDZ54l4wXjJw+ebmPRDMwjHbg0D14r8+C9Og8ul3lw73u57qG84j+vGF68337DCSecSP1UyPMAbRaaf/VAUx8x/mP8y6iJ+W9TAZc3m0t5qsGDrfOPkUUzMI8k4JJNn5h/Mf9kLMT8s6kQ809XBqwU3vOsxurWohmYVwV2/5Ji6RPrzzzrz6KZvLI6LBorsJYV23EFWFio1aZntovSH/2Qk+W+OFbkWCemb/CavsRNPfkP8sI20cgf9Y/xJ5Mi5l+sP/SHE2L9jeuPXEzz9TRfOsevn3w1TYr0MOm44z45HCoPk84997y8riTNkiV4qJS8+pn3+v/gBz9kuOiiC4c/+ZOnDN/4xtdzh+0efvOb3xpe8IK98oNXyyhrvXy3ker1tiPjgw86cDjw4LfW+weRxP3Hip//uP8ahvQ1Fccdd1yZA+fY0FuyZIk8WD3T/ATmHf/opM6DPxm+/o1v1PELgVzXdR7srfNgYvznqSCbgw48aDj44IPT7UCMf6lHHs95Yckbq+oYGFeAhfUtb+n5594mMogkn91iucUtH3/cW+Qv44WLoj+8CjNRnfj5M37+jJ8/8/yIn7/i5698vU3rpyyXd/X7b/k5JF3+6aJhjoFUigU/UKaO0joCa40gMMIDFzbHgBePeFAiL6xJITDCAxc2x4AXj3hQIi+sSSEwwgMXNseAF494UCIvrEkhMMIDFzbHgBePeFAiL6xJITDCAxc2x4AXj3hQIi+sSSEwwgMXNseAF494UCIvrEkhMMIDFzbHgBePeFAiL6xJITDCAxc2x4AXj3hQIi+sSSEwwgMXNseAF494UCIvrEkhMMIDFzbHgBePeFAiL6xJITDCAxc2x4AXj3hQIi+sSSEwwgMXNseAF494UCIvrEkhMMIDFzbHgBePeFAiL6xJITDCAxc2x4AXj3hQIi+sSSEwwgMXNseAF494UCIvrEkhMMIDFzbHQBZ/+tOfHg46+KDhFz//hTXWH+kXDdvKG6tnnXGmXfdvSf7Tf3z6sOOOO+QfVY888sjhla98peUDuOiii4Zt5Q3BK//wB9EtGjbfcvNhkwdsPPzqV5cO5/3yHHkAvBTSbNMt7XuOeM/w6len76jsP+5IzTHQN2gYKHHcsCaDwAgPXNgcA1484kGJvLAmhcAID1zYHANePOJBibywJoXACA9c2BwDXjziQYm8sCaFwAgPXNgcAyb+9GdkDsjDyV/8QucAxn96MWHJtkuGM2QO3Fr3v6ef/uNhhx12zLk/KPPgFSPz4GKZB9tI3j9c+fv8w8rmm285bLzJ/YdLZB788pfn5YfAqYM0/vVXq4PMgyO6eeCO1BwDdvxTAErUHdb0EBjhgQubY8CLRzwokRfWpBAY4YELm2PAi0c8KJEX1qQQGOGBC5tjwItHPCiRF9akEBjhgQubY8CLRzwokRfWpBAY4YELm2PAi0c8KJEX1qQQGOGBC5tjwItHPCiRF9akEBjhgQubY8CLRzwokRfWpBAY4YELm2PAi0c8KJEX1qQQGOGBC5tjwItHPCiRF9akEBjhgQubY8CLRzwokRfWpBAY4YELm2PAi0c8KJEX1qQQGOGBC5tjwItHPCiRF9akEBjhgQubY8CLRzwokRfWpBAY4YELm2PAi0c8KJEX1qQQGOGBC5tjwItHPCiRF9akEBjhgQubY8CLRzwokRfWpBAY4YELm2PAi0c8KJEX1qQQGOGBC5tjwItHPCiRN9vyXNXkKoJUacehtbVYFqh9ZSQbe1o90tTlKnHHRX59ej1Su3FKq5diGckm6k+/SGiK5sZaiTkuxl+Mv/xb6GbgTLo6elI4I9nE/Iv5Z7+9bcaNW2tKzHG30/rzwhfsPWzzv7cZnv3sZw//+u3vDAf85f66d7Jz2223nTxUSl8FMPbRvU+RjGSz0Pj/vwceKP+8+lB5QLXK8KtLLhkecP//pe2wXbp02PVJT8rfw7rlllsOR/3DUcPOO+9sif/7v/97ePOb3jQc/eEP6yBLSeWzxhprDJdceumw+L4bLJhf91a32rLsd8lvT48RXKatfWUkm4WOX9W1TerecbfT+U+P5nJB78b5X/iCFw5/9Ed/NDxn9+fKHPiX4YADDtCTI5XZbnuZA6ePzYF6LjOSzfKc/wMPOng49BCZB6sM8gsDnQdc//SgdNdddx2+I3Mxz4MPyTx4vJ8Hb3rzm4YPHy3zgD5rrC7z4NeXDIs3WExshbq3dZ9TxHF34/PP9a8VWxaqtcxINstz/nXx0r6j/qkapY4x/qQYU3cPY2Ox1E1CGckmxh/PLl8zrVatWYo6LsZfjL+Yf37SLOjVuZSRbO4O609+Y7XWpRYB1zEsK9CQwn7GQMHk6jfx4VYTkkyTzqCBVhH5pTT5DQmpzMLf5uBrOH0GSGfQQNRfKsDVwDU2cxzoCrxgkNSkM2gg6h/1j/EnYwCXmZh/t8/6f83VVw/rr7+e/NXytDYNw7ZLtpM3VuWhEk5MZnnj1zCOeDwbttlm2+EnP/nJ8OhHPXo47funSdi3/c53vzvs8sQnDhtuuHj44Q9/PDzwgZuowsvyd7Sm76jUndL9PPKD8gbsK/o3YOs+UCcGDWQZezH+bp/xh2F2e9b/mmuuHu5xj/QHoXRE5O9YPct/FcDouKrkCKqjK/0S4yc/lXnw6EcNp532fdNCcZLMgyfIPFi8ePHwox/LPNh4k9H5l76j9bWvfY22l8Kl+8QPHPlBeRP8FdZnBehdGIMGsoy927P+aWci/913/sX5j/Ef8z/mfzz/KJdqvjDnKzVvFgySkHQGDWQdezH/pudf82CV7qekjFxEqn6BGl1YU1u16uyPNGaKce0JSKMLa6DFsVR1RtU1IVOMTWBAowtrTFxqWdUZVdeETDE2gQGNLqwxceSXUthvvQXnuo0UjynGtZJAGl1YA22Mv7Za2R8pHlOMayWBNLqwBtqof1ut7I8UjynGtZJAGl1YA23Uv61W9keKxxTjWkkgjS6sgfbWr/9aa605XH9zOWjkAABAAElEQVT9DTnBwm+s6j60e5v9ZufTX1bfbLPN0kI9vOPt7xjeJH94Cg/RcCQvf/nLh6M/9KHhc1/4/LD7c3afvEdZKm+2Pv7xjx9OPfXU3EdK9epXvyr/MaDU11h+4xOQT7N7StpWowtrTFz6quqMqmtCphibwIBGF9aYOPJLKW7t6/9aa60tc+D6XOTpN1b1HLRnK/sjJy9R6Z/xb/YwmQfyecc73uH++FomZfPyl79s+NCHjh4+//kvDLvv/hzQnU3zYGeZB9+TeZA+aT69Sr4SI30lwNgv43mXGOfGbqPRhTW1QavO/khjphjXnoA0urAGWszlqs6ouiZkirEJDGh0YY2JY/5JKW7t+ed7rLUeQ+3Zyv7IyWOKcd+nRhfW1FatOvsjjZliXHsC0ujCGmhj/LfVyv5I8ZhiXCsJpNGFNdBG/dtqZX+keEwxrpUE0ujCGmij/m21sj9SPKYY10oCaXRhDbR3v/rbg9XpAuEP35DCoIFawYym+BREDFabek85RPSLj0lh0AA3EDzFJxlisNrUe8ohEvn1W7r0tpxKaLXkeiU8Xc0a8xrvcX8x/mL8xfjjH0rq9JqaNVM8z02v8V7Mv1qBWH/G1p+11157uO766/K/mFiyZHv5KoDTa8nqACUOECMNVvnkvevww4c3vvGN+eHPz+V7LDfffHNhff0f8tCHDPdc717DmWelf3bt+9Ce0lb5I+XNvAMOkK8sSE+T5N8f7bXXnsMnP/kJcTJRrBj5TPWUImPHn7uYbDXdW83kNd7TfdJt5L+j1j/9cuGGG26QNycXyddhpO9YxVcBTJ/N5Tn/aR68QeZB+vziFz8fNtt8Cxlu1KfAhz70ocP691xP/mDWWTpM3Ja0wqc3tQ/Y/y8FJX4Y9t57r+ETn8A8yBT3roRtY/zdUcdfHUt2sgrw599HEYPVqPe4RZz/OP9x/92uv3H9T2vE1KoxxXMbr/FerD+1ArH+3hnXX3mwmv49H70XYiPcQD3HDfIKDIAickFxyhcr4PXh2pUT0lxt+NrAkFdEfh2AUf9cATc4xInxl6d5zD8pAy13tODoxLFxY8DWmxZ4Raw/sf6kH0DKxw0Oce5i689aa61V39bL37F6utxm37Lj32mnx8obpqcNW2+99fBT+WfQ7r5EvPQX2V/y0pcOz//zPx+e+tSnNrf1/fw76eSThic84Qn5nKTT8fo3vGF459+/M+a/DdI0Vt1AJbfhk7T5eEVffzcZ7mLjP5ViTZkDN+CNVXmwenr641WokSuOOCtw/Ds9bqfh1NNOHbbeKs2Dn6JHs2kevFTmwZ/JPNhN5oF+put/8knfHXZ+whP1wie78vrXv344/PB3Wjs3z2y/DRRdb7xiOn8eVCtw/FpE33ufnYZqDkb+W7r+ljKW4RD1d/NiZAD6CsX4i/F3y+5/Yv5JBWxSGRiZeUp5Rcy/mH93nPlnb6zSiC7zG6epGbA8zP3ItkhLw1fLW2siACrlataKWJ2xb2LhloavlrfWRABUytWsFbE6Y9/Ewi0NXy1vrYkAqJSrWStidca+iYVbGr5a3loTAVApV7NWxOqMfRMLtzR8tby1JgKgUq5mrYjVGfsmFm5p+Gp5a00EQKVczVoRqzP2TSzc0vDV8taaCIBKuZq1IlZn7JtYuKXhq+WtNREAlXI1a0Wsztg3sXBLw1fLW2siACrlataKWJ2xb2LhloavlrfWRABUytWsFbE6Y9/Ewi0NXy1vrYkAqJSrWStidca+iYVbGr5a3loTAVApV7NWxOqMfRMLtzR8tby1JgKgUq5mrYjVGfsmFm5p+Gp5a00EQKVczVoRqzP2TSzc0vDV8taaCIBKuZq1IlZn7JtYuKXhq+WtNREAlXI1a0WsTg9W00Ol1Gq77fwbq76n2jNnbjWXXfab4QEP2Fi+t3Xp8Ld/+7fDYW87TJ6vpMdU4/nzvrSdlB0EfdJJ6cHqE3Mfqaf3vv/9w1+mN1ilX2jEKR/P1KwVQWnWN5mkIVPLW2siACrlataKWJ2xb2LhloavlrfWRABUytWsFbE6Y9/Ewi0NXy1vrYkAqJSrWStidca+iYVbGr5a3loTAVApV7NWxOqE115zreG6G9JXAfg3Vn1PtWfO3Gqguuyyy2QePKDMg7cMb3vbobJn9AMD70TfSY629HdlHuwiv2AA/74PvH/Yf/8D8uyq3SGqTD3qiqq2IN/Ewi0NXy1vrYkAqJSrWStidca+iYVbGr5a3loTAVApV7NWxOqMfRMLtzR8tby1JgKgUq5mrYjVGfsmFm5p+Gp5a00EQKVczVoRqzP2TSzc0vDV8taaCIBKuZq1IlZn7JtYuKXhq+WtNREAlXI1a0Wsztg3sXBLw1fLW2siACrlataKWJ2xb2LhloavlrfWRABUytWsFbE6Y9/Ewi0NXy1vrYkAqJSrWStidca+iYVbGr5a3loTAVApV7NWxOqMfRMLtzR8tby1JgKgUq5mrYjVGfsmFm5p+Gp5a00EQKVczVoRqzP2TSzc0vDV8taaCIBKuZq1IlZn7JtYuKXhq+WtNREAlXI1a0Wsztg3sXBLw1fLW2siACrlataKWJ2xb2LhloavlrfWRABUytWsFbE6Y9/Ewi0NXy1vrYkAqJSrWStidca+iYVbGr5a3loTAVApV7NWxOqMfRMLZ3qWP3JrKD95uC6okULaUizvUPZzB80v+SRQflNtWUcA3qKL/HQLTTVWSFuKRf2lGLkeMf6atUFmWqqN1EX+W+gT8y/Wv5Wx/qd/xrrF5lvG+FvJ8+/3//P74drrrhvut9H9mlqvvPm/1jryxup15fsll8g/gz5T/nBPXod5pVn+/EcffXT+3sjU+oc//OGw4w472rFot7R1eVIOaWR/xaDm/8d//Oiw334vLrHZcN655w6bPuxhVVDQbbn+/UK+4mCLLbZw+3Bb5neJb4fjX5n5dR5cO9zvfjIP8ieNjZV3/eve2j69/QNuK57/aPne1Fe84uX5DzP9SObBDjvuWKZVHuSKFdIxChwZ/3liyPH/48c/Nuy3775FPwznyjx4GM2DGH8oX9x/2yN8GmM08uYaf3H/aVNvFMT8i/m3Mu6/sf7H/BuddkbG/Iv5d2vPP3pj1caZArqw9kR5BNppkpIej1rcQJ7ro9+ar0nqlpooyUTkz7eAXBKrXNTfbo+tPgZi/OVSUD1s3DSgkzAR8y/mn/wIxkPCho+Ojf+Qv+y+gzwcu+jii4aNNtpQouXpYm4z2tB6yKCTMBHjj8ff4e86fPjc5z43nPo9+UNNUubbYv1bU/5wz43pjVXJl/94VXqoVE7cPPl3e9puwze+9vVh4002GS6++OKyTpcuS782hnCPwUPCpPX6t88L9xmO/cSxOfJE+Qvq3/72t2/X9T/9lfcdH76jHN+Fw4bpIfhCn+7YmIjxz+MfZTxcvpv08587fjhFvk5iFfegkWqXIflo3NpOwoTWf530xuqN5ZcL6esw8hyo40+fQqWOqW2G5Dd5d9ttt+HrX//GsMnGDxgu/tWvKMptVuz877PPC4djj5XvVJW5+sSdZR5851+l37IeUwYHOV0OMLFi+Vfk+G0fOF3klwpwQaL+Y/Nfx84tm38x/koFeLhliokYfzH+Fr7/z1cXGzIGbtf7rzqMaX9swjegkzAR4z/G/zLGf3phVYeUDhw/fMrtF5N1dFKz2jaR9ZatNgSC1ca8rX2gvWkNQE9EhuqnbfqgPd+MoAWsKnlb+0B70xqAnogM1U/b9EH7yF/rBASrleKtRjhu2AD0RGSoftqmT9Rf6xDjr44TIFhUqFqNcNywAaiJyFD9tE2fu/v4S69b5b/I/r3vDUd/+MPDi1/8YvuxkCqnxbJtrSHqZ1oDEBORofppmz5of3cZ/zs/4fHDKSefMnzwqKOGl73sZbfJ8ae/iF6/CiD94Z4z8zmep/5/+P3vhw03XDxcf+ON8sem/nJ4//vel8+jnWUDmZYNERmqn7bpk87/H678w3B/eXPx6muuzf6JX//asNtT2u9lzfKyqX1g/CgjYQPQE5Gh+mmbPmjPDZdKJzs/Tv46u8yJD5c5oWpsax9or4zEDXht9nKstk0c2nNDdAGLnqqtfaC9aQ1ATUSG6qdt+qD9bZ3/8TvvLPPg5OGoMg9Wdv615eswrivfsbq9PFj9cfnjVfMe/+//cOWwePHi4Sb5g1gHvOovh/e+931aSyq3VpiIDNVP2/Th/H+QPu//v/6XzINrcuyrX5N5YN/LmqmyqX2gvTISNgA9ERmqn7bpg/bcEC1gVcnb2gfam9YA9ERkqH7apg/aR/5aJyBYrRRvNcJxwwagJyJD9dM2faL+WocYf3WcAMGiQtVqhOOGDUBNRIbqp236xPjTOsT4q+MECBYVqlYjHDdsAGoiMlQ/bdMnxp/W4e48/vIbqzZMDJTC4B1pcS1kAMWDVmwdUdSA42hcrDcjbUSQ3jyQD1pWUPqFMUEhRn2QxXpDSdCHCCJ/LgYqF/WXcvA4L0Olq4sVDGMptQNZrDcx/lAeq6kQMf9yNaw0BlCkYlt+1AdZrDe32vj7yEc+OrzkJfJPsGWifOpT/zQ8//nPL33fNvl9wbg+d838T3va04avydue97n3vYef/fw/5CHlRiPnMp2OW+/4l/nPoJGqlF/XR5DFFvNPn/rUsNeee4lyNvzLv/zLsOuuu2qrW3D/8T55KPXq17wm97nnnnsOx33yuFv1+HFYZnFoIBr/Ix+WOfHSNCeGMif2sHNkUgOlk1tw/OPXIyQo1hvbn5JdfBHcidbfpz/96cNXv/bV4d73vs/w85/9TN4KTm/Kl08+1nLAKM4tPH43B5bI9wyfeTqyjdRSQsuYf5/6p08Ne+61Z+4jz4NddrnF9X+f/JLi1a9+dUo+7Lnn84fjjvsnwf7AURXQeQfS5k52/t19mR1UOZrsgyzWGytLHD9qJgW6E83/OP82ckfGssSWsf7E/E814hrG+I/5H8+f0owol0oCNE+coPDWgH2QxXrT930nvv+oXwVAB8Ela0rBIcPQ9JUxiZ6YKiwBIiK/3cTUqtWKUqU4nHGNVdSKcqQLExH1j/qXm2geOxghsBwDrrGKEIPNkS5MRIy/u8T4++1vfyvfIbnV8N//9bthy622Gn4iXwmwyiqrxPovE8F+rsGkqLcrstDLXJhz/n3/B98fHvPox+ReX/DCvYdjj5F/9tt8bu35p3+86gY5gtmwRP4i+pnyxmq9WjXJEaHprgol0oP3z3zmM8N97nOf4YrLLx9WXW016wBNYC1AoMYU/e53Mvbke0x/K3bDDTcc0j/B32CDxSut/m1+2rUMf/u73w6bb76FzIn/ynMifU3GIpkTrl634PwvK3/aiaypwrxfd7X8P5B58Og8DxYNL3zB3sMxx+rXQKys419b3tq+7vrrci3z12GckR6s8k/mpcxilqf+z99jj+GzMg/uLfPg8suvGFZbbVVth/a1O4fqaa0oCdI8SN/n+ztZixcv3nD46dk/GRbLm+H1Q/oYf3Ovv7WKFdUaK8qRLkxE1D/qP+f1v46iipZ3/N1009Lh4/IdzOn7x9/+jne0zW7R+sOd5T3rdo+IGP8x/m+H8W/X6xh/Mf5uxfFXH6x2qyARtP4RK7AP9IxvkT0RzeSnTPui9FbSdtL6pu8DPWPiCkQU+aP+Mf7GfwjspvXkpOoDPVOnnaGYf3fZ9ec1r33t8N4jjsin+rPHf3b40+f9qZ12A3H+b/Xz/8xnPnM48YQTZerOhh/96Efy/bY7WLk7cCvUP30VwPXpoZIsIdsv2W44vfwz6BWd/9fLP6VO//z5yquuHNJ3on784x/vbysmO+0DiXnZS1+a/7n92uusPXz7X789POpRj/IlENFtef1/rcyJIzAnPqtz4rbM7w9evAWO/8YbbxrOkT+wdf+N7z/c+1731qZ9mUuXfaBnuuwL5s/qtpPWty77wDPyPDghK370Y5kHDx+ZB9Ls1qj/WmutOVwv/2x/kXzRcPrlwhkyB/o9sp2tYCT/9TfIPJCH/1deeZXMgxcOHz9G5gE+k532AWZe+jKZB0d/eFh7bZkH8v3CNg9G8iNVttxJIlrfxH2gZ0xcgYhujfqP7Vjkt0cFtd4tivrf7cffTbObhk8e88nhkEMPGc4//3z65agMlnYStb6Npz7QMyauQEQx/+Pn7/j5O37+rosCoXYRaX2T9oGeMXEFIlrZ649/sJoT0oV54im+7SEdhUIikghutmmTqPqlrwjngAblgCO/TbeovwwGq4YNEwM0gBQSUcZTfoEk02kT4y/mX6w/eHOymS15vb4l6+8l8sdWNt9ss+E6eUiwXXrY9uPT5c08mb8x/2QdW7nrT3qwuePDH57XuN2e/rT8kHVlXn/5+yW32257ebAq59oS5t0o5z0vupPH/9UTTxye8YxnpLuC4fOf//zw7N2fk5fs3MMc178TvnLC8KznPDvn/uxnPjs870+fd7uOv0suvWR42KYPkwdwMie2XzL8+MdnDKukI8S0KKXS45Vd1ZCycxx/7hh9YoKPzL/LLr9sOO/8Xw6XypxNP1if84tzhzPPPHP46c/+Y7hRHhamB8GvftWrpDvZoakP+pe4QiJSG7jZpk2iVu76m77rd4cddxhmS2fD03aTefDVE8t+3Pr515I/XpXOa6q5vrXdvLG6Asf/1RO/Ojz9GU/PNfrCF74wPOc5z5H9lg7mrP9XvvKV4dnPenZu/pk8D56b+17Z9V/e8Xd7j//IX6dnHhhpI8Pttlp/ov63T/1vunnp8E/ytTiHHnbocO555+pOyKlP92v5F0O30fUnzv/tc/5j/V+59x9x/aP7xRW4/8nXoLvQ9UcfrKIA+eh04ynyCJJ8Poi+YKkXT5FHkOTzQfQFS714ijyCJJ8Poi9Y6sVT5BEk+XwQfcFSL54ijyDJR+HZ8k/PTvrud/LbTD85++xhDflBZOuttxxeKG8mPe5xj6tXlpE+PUUewdGkK0KiL1hq6ynyCJJ8Poi+YKkXT5FHkOTzQfQFS714ijyCJJ8Poi9Y6sVT5BEk+XwQfcFSL54ijyDJ54PoC5Z68RR5BEk+H0RfsNSLp8gjSPIM93/lK4cP/sM/ZPyVL395SG+PLfhBX7Ak9hR5BEnewec+97nDZZddLnxqoLc76aZyGJZmL6G3vOX/DE+Th5D2AEg4fHwa8ggmbfrbj/vuu+9wzjnn5N41G3pJWWb5qxBOOeUUkNWiL9gaaXaJBARJnuGf/9mfDZ89/viMTzvtNPln0Y9uJd5HX7AU9RR5Ba61tjxUuo7+Inp5Y5W6WDaUvvJbdR/+yLDOPdYefvufv81v16WGlNF7PuBy/FT+if1jHvtYeevvyvzW9Kvyd0s6iXfQFyxFPUUeQZJPQsyJNBK+9OWvDM985jOqFn3B1shcx0/NlwlfsPfewyePk++dzR/Zu/TgP+1H+Xz/Bz8YHvXIRxaPdpAgtHNb9AVLHXmKPIIkd/DPZB4cn+fBouG0006dngfoC5Z68RR5BN13rMofr0oPJlbog77EvvTl+nbpOuusM6SvU1lL3jJNY0Y/EIpHENHWpq9feWyeB1fJPHjPMDkP0BcsdeQp8giSfD6IvmCpF0+RR5Dk80H0BUu9eIo8giSfD6IvWOrFU+QRJPl8EH3BUi+eIo8gyeeD6AuWevEUeQRJPh9EX7DUi6fII0jy+SD6gqVePEUeQZIvF/z0pz8zHHTQgcMv5F8k6J0JmqVfDG1bvs5HOZ+GPIJoPbdFX7DUkafII0jy+SD6gqVePEUeQZLPB9EXLPXiKfIIknw+iL5gqRdPkUeQ5PNB9AVLvXiKPIIknw+iL1jqxVPkEST5fBB9wVIvniKPIMnng+gLlnrxFHkEST4fRF+w1IunyCNI8vkg+oKlXjxFHkGS91B+MBz5LO25ESqLMk9Bgwbk5QH9wCaPcQmTGYmOULlB5ilo0IDlqkzk51pQ4QsciY5QU/X/9W9+M/uLF+0zW7Qov6YlzzMWzR74wAfO1rnHPdKwzP+/5f/+nz6tMSPJRqip/NpNbQAEm+KMVc/bkegIlVtknoIGDViuykR+rgVXXvFIdISK+ksFcl2oOAYN3Cbj74ILLpitvvrqeW4/dNNNsWP1FDlm5Y//t/zt38x222232brrrmtrDtaebOX1yre//e15//pNrZ3FRqgU+8D7j0wv+XQ5wG2++eazF+6zT+6Gu2BsOQyMREeo2qkG5eGt7ccfP/lJXW/cBWMTGhiJNtSaa65Rci2abb/dEmtpg60CQ9xFwjfffPNMvgM197P77rvXPqzFwlSO5k6Xzq644orZgx/84NzXoYcdJqGaDQg2tWOc+3GbkegIlZtknoIGl854Tmwqc8JCt1F+HBLywib+rLP/ffa5z31udpjUKl2XMV6Tvde97jlbKufGfbgxBzJPQYMG7Lgrs3Lrf7LMAxzPk5/85JWWf80115Txlr4IYJjJd6xqVewgDSwzf5oHG5V58Nw8D2pbK/UIlWOZr8HLL7989iCZB2mfdB7UWldV5ax/B1hZAiPUWH472AoMcReMXeraqaenGmSeggYNRP5SyVqROP9cCz/QkjcSHaFyu8xT0KAB660yoxloN1hZ6BFqRfPvtffe+Z7nZz/72ez9R36gXL/13sXWr9op7Y/AWyE/d8HYJ0reSHSEyu0yT0GDBqy3yoxmoN1gZaFHqMgvFch1oeIYNBD1HxlCtTol6MxIdITKTTJPQYMGov63Q/3ljZuls6X1HNhJ4POMMGyKAcOy3mNWMIYq8t+V6n/cccfN1ltvvXzRTi/dP//5fz679NJL88m+5pqrZvKmao6tssqi2cknnyx8nP+70vnHrK6W5zxjKOL83xXO/4tfvJ/dqP/N3/wNTq5YPueMIVm55//qq6+aPeUpT9F903+rbvu5//775/2bt/7nnntu+WVR+QUSP2CVXybJP0W/TY9/qRzIAx7wADu+k0/S9RWV9ucC7Hz1XyM/VMIPZdujsxHL55zxbHbSSSfZvh7z8Y/ntl6h3YGDTSxwsv/z+9/Ptt9+u9yXH3usbHHy02e+4+f82k+/fcmLX2LHp/uFVqxdefk1C+dkjH1YOnvsY3eyB5Hpl6D+IbevdW3V946Yt5yTMVS3/vGneXB/mQflH/3lcTa9t/Pn1weraQ4sqg9WcVhm+ZgZQ7B09t3vnmT1/9gxxyBgFq1gUwAYNnH/8z//I/Ng+zzm/trWYFYwTi3SZ/7j19a5kwU2nJMxmkT+ea8/Uf86DzCaestjjjGUd8/xd9VVV9UXX9IvhpboL0fHK6S14hgwLKrZW1YwhvLuWX8cfay/cf5j/efZUDEQVg3YxAPDQttbVjCGcuWMv/RPGcunJM2Gd4D5JOUY2i6/tdYCDOfmxcuGI8wnIceWPy+U1lqA4RwsXjYcYT4JOYZel99aawGGc/PiZcMR5pOQY8ufF0prLcBwDhYvG44wn4QcQ69qjz322Nkqq6xqP0we9rb05pD//ODf/s1+iHjYZpvNrr322iLgPJyD+STlmO97eTxrLcBwbli8bDjCfBJybHkyeo21FmA4S4qXDUeYT0KO+b6Xx7PWAgznhsXLhiPMJyHHliej11hrAYazpHjZcIT5JOSY73t5PGstwHBuWLxsOMJ8EnJseTJ6jbUWYDhLipcNR5hPQo75vpfHs9YCDOeGxcuGI8wnIcc0o/zT1Zl832CZ94tmZ5xxugZGttZagOGsK142HGE+CTk2kmCEkj/QkB9+4I1VvM32zGc9i9Sch3Mwn+TqL11682ynnXbKx4z+tH99yLpPeUuVEmRoPQswzJFMcqRgowy0XWf/ta99na2/8v2incZaCzA8R375wz2WZ3u8rddl6wnLKeB1f/VX8sPdMFt9tdVm//Vfv1NxFphKuIKNMpD1V1999exx5Ty86lWv6hM2jLUWYDhripcNR5hPQo41nZOb58TaZU7IMZ5x+pk5aq0FGOZIJjlSsFEGKNvyQ2stAPi+97mPncs0hj/wgfdTh0UFsbUiyQpA7sZwbs95OMJ8EnJsOrH8wbD0zR/5uHgeWGsBhufMjwer+Y3VJeWN1eld4iw5OfK/XuZBqvtqaR787r9Eh0hqUrBRBnJ/2Fx99TVlPVo0W2geWGsBhnMnxcuGI8wnIceQffmttRZgODcvXjYcYT4JObb8eaG01gIM52DxsuEI80nIMfS6/NZaCzCcmxcvG44wn4QcW/68UFprAYZzsHjZcIT5JOQYel1+a60FGM7Ni5cNR5hPQo4tf14orbUAwzlYvGw4wnwScgy9Lr+11gIM5+bFy4YjzCchx5Y/L5TWWkD65Wi6/ub1C//qJAtMVfMZZQBdrpC11gIM5x6Klw1HmE9Cjq1Qas6Su/E9cR6OMB/5o/48NmL8rWgFrHoCDPPMzCRHCjbKwIqm5iwrff7Tg1W/n93uC8Fc/5SdooDZyhNh37V4PdNKOoUQzEX+WjGtC1UHMNvbpv6f/GR6qLqK/YC2/wEHlBPW57/Pfe9tD1e//OWv1AMhhEMwSgjm4vxbZUpdqDqA2fb195Ws/TBCF8YJwVzU3ypzt6//Ow8/PN+gp4cDm8kvS2yg3EHG385PeIKtS/nhZ/lhIr3dNfXhsZ41zfj/f//vna7P9ANK7ltqkOw3v/WtUofbdv6deuqpuh/y5uFqq642+/WvL7XTUY+1O7oaKqhTNMe/xhp4kD7MluQHq9QCMNvp43/IQx4i+7po9qQn1a8twI6gC/jpIJhL68/1199gbyO/+MX7yr+8KQoIs/X5X/SiF83e9OY3WrdTAF1YXAjmkCrFlaeowMPfdbiNh/QLRP8hrQ+Y1ymEYG5Z+XNHuYE/fk1Qezr99NNtP9O4TT9kn3vOuS4X+qqtZF/IUdgRZYcXzm8H3ADqzXaZuWXlP/W0Mg/keFaVB5a//vWvKQP3RDTBTiEEcyk/Hqymum2//cjXYeQGyz5+nQeDmwecK++WEMzx8V8n8+CpT/2TfB73228/+RqHosxmPP9fpHnwpjfREXvIuZaVX7XUAjDb8fw+W++hC4sIwRwfv/IUBcw28qMcVktXycoy6toIwVzUv1ZL60LVAcz2jjv+8FUmaf3yXwXgz3U+UjkWHFby4/zf+c9/PYIe8bnO0Tj/Mf5pmMT8r8XQuUIzRqA9WO2Wf65c7cNQp7dIAkgCW4JwYU2XWhip4shfijZuuno5GWoJW4JwYanmXX8rUP+zzz7b/ZCx6aYPnV0jb1DUceDzL95gsf0w98Y36g+5tyS/O/Ts4ABhff562DUe+WsttISN3xS5q5eLoy1s1F9r2tShDkRBba0a39V3ZL10cbSFbfIabWD+/LJOpIep6eY8/f+Wt7xFkqFf2JWY3x03HORdKm9C/ld+Eyw9MEr/4y22tK+LF2+ABit0/PLHYeRtjzXsYTKOHTZ9R+XNN6XvqMR+lDRwYSl+a53/9HBxk002lnOhb84ecsghdoyW7lbIz8ff/lBWj9sS6T7AFXvWmWfamHnf+963QvVPnd14042zP5U3clPN99hjj/x9rQscaA4d9cF/yOf/S1/8cpFih0bm0wpc/2peRelt5s0329yOT+eExJAO1ohbN/9IorJjZU8p/9///d/bfqZapu9Cz59bcPwrkr/s0Qqf/26+oCPd+bwLOg90XTo0zQMcN6wRKWSk9rQcx89vbfs5gL5gy87BhZWcZzbzwA5jOfIn7c033TR73vPaeYAEsD7/P3zwqHzOv/SlL9Z0cxy/Ne4A8sL6/DVVjc9T/y6tEegXNvLnCqAcsPVECDJSi7Wc489K7gD6gi1BuLCUM/JbUW6z+tfvSU+/HKVfDKU9iPNfBu246cark+FcwpYgXNgY/1a1rp4x/qw2Y6CrlxNhgMGWIFzYGH9Wta6et3D8LUq1pT8/KvfW6adP+bEsI8EpLK/jpA/zJWymizVE4+Z2mRsJMBX579j1v/HGG/Nf3ZU3X/KYSefuhBNPGJ6+29PrIBKOz+kmm2wyXHLJJXkM7PTYnYZTvuf/YjZr4/zfsc9/PonN+c0cn8SxOLhGl9oyFef/jn3+v/Wtbw1//Md/nE5bnv9nnnXWsO222/qT2JzTLAbHJ7sEmLql5//Tn/70sMcee5ZsyFzttddcK3+Be61KFOXU9e8mWe8e86hHDz8+Q9a79KQ27Wz5pDbJlX96PBz/meMn1z/o83HywZYAU/Mc/+vf8Prh3e96d96/jTfeZLjggguHVVZdxa7ptzT/VVdeOay3/vp2/Ol8p/OOmuX++SCEaNzhrW9963DwwQdLm0XDxb+6eNh4442xW047evxS9H3322/4+Mc/luv/gQ98YFht9dWHVUqevCNLpfxCpPMj/0x6OO37pw2f/cynh/vf/wHDRRddNKy66qqap92xZl9H89ueVsDdfOtfZE48+Y+tPmed9e/DNttu4+uDPNywdMfUPPlzN9wJcpX+YZLkqX/ylOGfv/nP+TzIr9mH/fbbd/jwRz5q+7qy8+fH/27g+LFyS/K/4Y2vH94l8yBNxI032Xi48IIL8nnn4583/5UyB+55z/Vt/m8jc+DfZQ7YZznrf8jBMg/eevCwigzWiy6+KM8Dbrrw8cs82He/4WMf+1hOe2SZB/nk0fhPx5/O7TVXXzV8//s/GD7zmc/keXDhRRcOq62yagq7z/Lnr824TWYbonGrZCTA1MLHH/lRAa5ZLS6ifk6BzW26hl4b9b9j33+5cwkn2ea8Nm5WrrnWWsMN11+f8fbbbT+cLvc06cPaOP933fOfzzOf7Hz24/xzSWL8x/if7/mnjJz6sUfZhWKf8UjYOlGdbUeaTf82rBWzzzjy5wqMlASvZWhItmOayafxrZh9xrX+Bx54YFqH8v/pj0VstfVW+fSqWrZtM8md/3p4+aez8pDVRs6IeIGYhNq+s9oyq2BMcyseP+1ggZE/FcKqEPUfGSJjRalVqw1Yx7goRiiqvIhEMKa5Fcf/c5/7XJv/Gz9gY83J25Wcv1SCjCbE9kX7vEjfLJX15l73ql9B8v/Z+w6wu6pi7RNKCEVa6EFIVIpoACl2CAp6lQQE/WkqXikCgogFUJAuTQkI99F7FUQFBKUoTbiPGEDlqqgUKRZaKNJ7aClI9j9lvbNm1tr7SwJfqudA9rwz887MWmuvtb9z9tlnbznXQMete+6+u4rNBt94xUcdeZTdxmTTTTYNtz/Bw3JOP/2MuTr/J0y42vYJH5svu+zS3CVGr3H/X3vNNSH/CiusQCkxVhh5KdQ5//gKGW7b2zfd1LUNOWDyesYHfP7zob7/+wPspdymQf7eDGmOpL9Xr7X/aF3r2iKjXxMjVhthdAM2VmZJIPdRDV73uIMuZuXZtiUM/Z8yZUqzxOKL61imv8f88Mn88sEeD079XAeorOF1j2eu/oSrfyV9w/6/9NJ0pfIgjP815RoYTle/SxO1nbZtaTbGn3vBD43hubrp23kdlGSve6z9//z+cR3g+OPnPmP0n86g2rHriCOP0CRhW9bwuscpqMWEPqiLtm2cQRh/aUFb7lSwX59HqD/+/fmX1qoXaf35W5lsSA9/rBerX2Aep2QtJuRQF23bOP317/eGw+Vged3j/vjLCLQMCSacumjbxunPPzfnPCwHy+se9+ffjOYffeNOcy9MNB5AN4gCVS88ieW4Pk4qp40Eep539uvPr+P/zwcfbBYbuqh9yKULH5ozTj897lzW3P5/4skn0pt7/anqum9etz//+uvPzRmZLFmXw4YeOwpP//gjo6RjowPmcR5Cv/6c1eCrPf48RT+zX3SR/LC6nXbcwXIGIDuuo21EfLX1NaPP67EkblZZZVU5Pq27zjrN1ltvTV+/plsCpJ/KX3vttTNd/8833CD3a+QcSy+9dHPyKafYiQo5gUHHP5b33Xdf6P7sGv+u/j//wvMNXZFpx9mPbv9RHuTYJqfNzPhPmTK1efiRR5qfX3xxM+oNo/SYb2PZa/bcc8/mxhv+3Dz66KPN1GlTXXaCXNrVn3jPPRSvx//j6AGHM1OfE3Kaww4/XPahnDxy9f3446Q5/z1CHfbzPcDp6lhOFV6zUt+PouJokVtPLLqIjA/X33HHnar+h+KkDGb9Mrfo3EQ3/uDQ1eY2ltzWIUMWah577FEmg5Jg7qnzJFZtycEJMaWlPnizq/90ZTWtA90XvP/5hHfba2brT6YT0bwGLr7k582oUbQGivn3mT33aG6gY4SsgaluDXT0/x5eB5SD23b8ccelpgk5N1OGVza6jJLn8LQOdI7ji22VyFnOf67DvoV5HTzwT6sxs/0vWvaq9v8jjz7SPPPMM1abwZysHwonpV9f55cOR7GXxaX+wvOq9v/8Nv7PPP0MrfmHpNkLWv8XG0oPoEzHn/wAyqKXsutlE44/PCDZir2qFmgm2TwXjv/9+mkE+uPfn3/99WeHgxLMjr//cmJVj5DuMCkLsSw/sB5CglLHVW42+MN0RahzlJYQEpSSqZWkJFyiqMVgIIDYLZluIUGpYyq3BGq0QVXr4A4L0y0kKHVA5ZZAjTaoah3sLJ8/gK+Y4Ksg9EPycLpyafLkyS0DnINuueUW+SDBb/L5jf8aa6yZGj7r9XPWoiSnGqD9lVu4GmBQVV9iQMx0CwlKHVa5JVCjDapaB3dYmG4hQakDKrcEarRBVevgDgvTLSQodUDllkCNNqhqHdxhYbqFBKUOqNwSqNEGVa2DOyxMt5Cg1AGVWwI12qCqdXCHhekWEpQ6oHJLoEYbVLUOdpZzfnxOWP+nnnaaejl2gPjKLVwNMKiqqzYwZLqFJOXGm2/UYw19ePg8XeW411572bEHx59zzvlxCtRo2aZ4X3HK5CnNeuutJ/F83Pr+989s9tqb8+XjH+dcd911NZ+m8ykMV+mtqGvKAPGWyIGQk5SNN9rYPjQtudSSelxO/MBlm9SSTYaqWoW999rbxs5O2MiHsth/HoOjj3L3s7QMGfAJaYz/3/7295mqz9GTX3qpGTqU7m1LNeSEaUd98TEnfWiEHDdunDTi1fQ/t74dIec55+ia4P5x3dOwJlwYuGaSsZZN5/gbtwOEnEGpA+A+5Ktf1XFMbaVbOszR+tYy6bpsBr3+xhu7dbCkrgP0f1br4/gxM/Pv6KOOtvQlQP1TZB3oe6e//f2vQrOh0OEoQ0XXdYCTIvX665r/MidpX4+ldRDSW1G3FAOhtRnByHQLCUqmTZo0qVmHvuA6iB6aZVx2i6IWg4GQc3QhpltIUOqIyi2BGm1Q1Tq4w8J0CwlKHVC5JVCjDapaB3dYmG4hQakDKrcEarRBVevgDgvTLSQodUDllkCNNqhqHdxhYbqFBKUOqNwSqNEGVW2+SsfItddZu5n07KQ6kbMwPYUoMMWREgxctglXAwyqWgd3WJhuIUGpA+AethgdQ9Jntw3Tw/ckBwh1aKclhASlDqncbEitNyigju2yhJxBqSMqt9SSTd4VqtbBHZaQMyh1QOWWWrLp1+fhqgaoHsPSEkKCUjJb0svQy6Y//jxcMxi/ekSLkBnEV24ZetksMOPf0+74ofIWxkmPwgLU3OEEi9zx5rCJX1iVDh9rjJMehVLN2+EEi9z9+mmMZEyA46jocMHHGuOkRyFXZSyOnxHyBzP6d9jXDtMU5ZZiUenCCy/UD7z0oZM/oKxPP4WLr1RIjIxjYe9liuqRI6F+Q27UVzOyRGv0sca8mBuRyoU3cuAzSe5YCVmiVfnwscY46VEo1bwdTrDIHSslfmFVOnysMU56FEo1b4cTLHL366cxkjEBjqOiwwUfa4yTHoVSzdvhBIvcsVLiF1alw8ca46RHIVQ8NAUf2G+84UaxVxuKnR31uY42q6Vx5DuWrgJD2y77xWXN17/+ddX5hFs6/hx33PFFc1MusTJW/cAvH5hihzRbf/jD4h05cqTlR50DDjigyKcp5nT/5efy3M90bL70cn87APQxtkobDh9ruf9pGCCUmhgYo8oJFqXxlTbb/L0y/uvSB1ZfTeneMnvqW3tDq1xjAaV1qT1RBIblI05YEzT+N95Ia4Lsvv/GL6yzo//PPvts87OLftYcfczRDT8J/vjjj29uu/1WKbXJxhvZ/KAbwjZf+tKXyJ46KgzGSY9CvLxRc4cTLHLPrf7zFyqyBtJ6v+yyy6zVZau0uakvojCOffNepqgeORLqN+Ru6//mm9E6oPXJJxvzy1dgHHN7L8eoHjk5V0LkbqtfWpXtKzCOub2X+apHjuZxW3K/Qv9tt9120t+3jn5LcsZWqdFXYBxzey/zVY8czeO25I6VkCVaNQI+1hgnPQqlmrfDCRa5faWJ997TnH/B+c1BB365+cIXvwhWkimXaIynNxdddFGzx+57NCeddFLz4MMPB76yU4wP9Syy+/rWp8KqIT4J46RHYdnV3OEEi9zza/311x8tc3bbbbaVK6tTT9GzNDrzZ/+H0QM48f5gw7e9LfXJ95Bx7Jv3coDqkZMSZUHu+XX/o4fFMFjf+v3noejvf5kQaRhscgD05/+/3fqnK1bdoaFjYnSYMW1mKEM8K5UhmYI9p+0wZ8IMUIhnpTL068uQhHHJg9pmPvTQQ/WPcvrwzidJ77jjjhzkkI8/+MCDKE6v0uA/6ltsMUaYs1rfpZ8h9PVl31eG/v7vjz9NozAv8rTqMGfCDFCIZ6UyzH/zj69MX2qppfRLElrHryP8L3pCddur6m5lmD39f+973ytf3tCDjRp62Ezzwx/+MF/tSG3m48+++35WmixNCu3KPfntddfRz2fpyjA61i277LINPXhPjnXyocQd/1i/8sorc2BCIS0rlWHw+08P7ZL+6dV1vWb33XfX1syh+n4QfHcff/SxZqEhevuIr3zlKzYYwvFEl6DD7BgDwxDPSmUYnPG3NZHmFq8Pfmp7Va4yDE59PwoP0wmYAw88sFmGblkh8zS1CVdb8pcMfGsE77vyinrucs7QXF9kJnGIZ6UyDH7/0bQL0jpAP/fYjdbBHKzP7ajKkeGxx2gdpPHndSCcQEQPivhsnmkU0rJSGZIp2HP6DnMmzABx/Pjx4+14dPr3znARml22HYU6zC7HwDDEs1IZZm//J957b7Pffvs1Y8aMaYYvtzyNQ37/y/OS3zdLk0K7tE+33X67jRv//RkxYkTDa3tWXiEtK5Vh9va/KlcZ5t363z/zTBv/k0765qwMu3Gr7laGudN/f4/VDTake6yGdlnzu8yZMAMU0rJSGeZO/7XZ2hjZhnblTnWYM2EGKMSzUhn6/ZchCeOSB7XDnAkzQCGelcrQH38ZkjAueVA7zJkwAxTiWakMC974D+ExoT/u+rab3nW3vphCf9X5oyh/Mu2itcVycuXzc0npR+NtJLZlYs3o15/nxn/kyFH0dOX7bF+ttdbavTvvvMN0gLxbdf9vMWZM77e//S3cvV133bV39tln9/d/HigbGwP9+T/PzX/bNzMAebcuWMe/K664sjdu3Fjr/ZZbbtWbMOFXpgPMrf7TlXo9eqhS75VXXumNGbNF79e/vqY34Zpreh+gdvrXNtts06Or2DqPPy+9+GKPn3p/z8SJEvZDegI3XfnX+/a3v9Pbf//PuVRDeostNrRH99jsLbHEEmafW/1/6KGH5Anj2pAhvRVXGN575PHHegvT08dbX7mhtXsQjz8/OPPMHt2PVWpc/4fre+945zu03hyqPzvff1xx5RW9cWPH6Rse6s+WW27Z+9WECXP8/c+FP7uot9een+nxGuDX+utv0Nt778/03rPZZr1rJlzdO/roo3v0s2wdd9rymCy6KM3dZ5/uLbnEkmY3MIj7f3aOv7XXgQcferD3+tXXIAvtECq+4gor9ugeqD06qelY6u58czob+n+mWwd/vP763tvfTuuga3BmQ/3Y+dnb/4n3TOyNfutbepOnTult+f4t6e/EhKr8gvz+/4nHn+jts/devaeefaZ384039ehLvtD/c+j97yc/uWvr/qcvBno77bxz4H/jG9/oHXzwwcHWpeTD6oL1/qOrv6V9MPr/wQ98QI7jwxYb1rv19tt6a73pTWWZTn2g+pdeemnv5ptvlmXPS7zHhySW7sWHBPmIXn3+Fk9gbrXVlj36MtnZ/Nuaev8PGzasN3XqVKm/wQYb9m7+y80h1pT5/Pijh9W6/9Y/BnlHBbMo/f7TsYlGkcaof/6n9TBdz5lkydOqP//+rc7/hZPHfJYVL7nZbac3nnRGDCTOSneGJweJbgp7Or0DeFLYgOEpL4nOCv3+d47/9X/4Ax8vwr8v+p80YeyLweUr2pak+5zRX3KLPfEb38CsibI//p3jzwNVDG0xdonQSUoOEt0U9nR6B/C42p3hyUGim8KeTu8Ann59GZwBhy+NK4nOEZ7B+tuDHlbkjwFH8NPW8eKk+AdbkKkqiYSCV5QZ1O+M42ByXnD+BdQ+vTLo2GOPlZR8ZZC02R1/8k/ghJI3qf5nP/tZieG3lbhHJ5PGbbNN6D/n3WrLrTSeG4d/aim2qfUkEir8HD9ggu44zpRCR645KrWR78PYa66jK2/1laqSSCjZnRiE+m3Jx40dK8d/vvJq+ivxB4Ku+qD0v63+7Oz/nnvENXHk4UeGLmVl9ow//33de+98L1ye/3xf0Ml0f2D/2pMesuTXLvM233xzT5kvx986wMOLfwTpS+B0pbq+77juut8qlThMa33NpvmvtaY3Y3kd0JpcjddBWyNmc31pxxzq//vf/34Zf37vd+/EiVQ6dXgO1a/379yrf9eddzbLLb9sWH9f+MIXWprIbZze3H///Q2dAAvz9yC6Ej31oI5ji4baMNekudd/bcv8Vf/ee++VX+Twet1iiy1oXAf4uzUL4z/6rXqbAbxPweciPYWVPyNxXW/z2B/HTzj+hDy8mAP1zieLjv9idL9yjR/SbMhXrPrXAnT88d1SPH/Nv7r92INtHrJh36du1qx+/2VMaBi6h4g9nd4BPP3x788/+iYmTJ6WeRRNSYMRslq56oAb0mjB4BQHwY2mpMEICbJJdcANWbiT6rwOghtNSYMREmST6oAbsnAn1XkdBDeakgYjJMgm1QE3ZOFOqvM6CG40qfaFA74Q3hjyH+err74aISSVh1jIW2651f6Q8z3dOO6KK3+R40DMluIAlgjgQTq+QnXADWm0YHCKg+BGU9JghATZpDrghizcSXVeB8GNpqTBCAmySXXADVm4k+q8DoIbTUmDERJkk+qAG7JwJ9V5HQQ3mpIGIyTIJtUBN2ThTqrzOghuNCUNRkiQTaoDbsjCnVTndRDcaEoajJAgm1QH3JCFO6nO6yC40ZQ0Equssko4BlxyySUIIak8xEIaIRic4iC40ZQ0GCFBNjm92W233aR9/CHkj3/6k3hefPGl6vizworDLao42DRXXfVL6+Oyyy3XPPSwPh142tRpehsEyu0/2PA98PSlDUPzIK1QMDjFQXCjKWkwQoJsUh3bbb9d+EB28MH803t6hTinOKjEgopA8CBBNqkOuCGfe+75Rn9+OKT57L77Jja8pDqIVNGUNBghQTapDrghC3dSnddBcKMpaTBCJjLWBF3cIfPi4rQmClrRT+d1cFbr80nVnXfeWeqi/jFfp4eI0atMe/J4enhY+vuLD/PHHEPckljFJgJ4kFLFb9QBN6QxgsEpDoIbTUmDERJkk+qAe7vtt0/rVN9zHHxQWgfCB4sUB5EqmpIGIyTIJtUBNyTcz02idUAny/jY8dl994F5jtWP/XStcxCNiqakwQgJskl18PZHdPsVHCNPOOFEZYQ4pziIVNGUNBghQTapDrghC3dSnddBcKMpaTBCgmxSHXBDwv3lL9H9ut364xPP8iqJZGTTeT/5ifH5QbGHHnJoJ987kA5SfbQNBqc4CG40JQ1GSJBNqgNuyMKdVOd1ENxoShqMkCCbVAfckIU7qc7rILgw8QUgPI95/L9/xvfVDSfIJtUBN2ThbkaPphOr7kterBOVeuuhaNP6pQ36CSekE6tpB6MuZFlf/han+nJitSIWUwUTBzxISwygDrgh4UUa1Z3XQXCjKWkwQoJsUh1wQxbupDqvg+BGU9JghATZpDrghizcSXVeB8GNpqTBCAmySXXADVm4k+q8DoIbTUmDERJkk+qAG7JwJ9V5HQQ3mpIGIyTIJtUBN2ThTqrzOghuNCUNRkiQTaoDbsjCnVTndRDcaEoajJAgm1QH3JCFO6nO6yC40ZQ0GCFBNqkOuCELd1Kd10FwoylpMEKCbFIdcEMW7qQ6r4PgRlPSYIQE2eT0Zgj76MOnfkRkwH8+xMDG9pdSuom1p7Rk3RAAZHtpsSqlm1h7SkvWDQFA9ut3jsAb3vjGHl15IPOEr4Xii9xPPvnk3qJDF5X5w+8W9H0jpeDxTJOKHuTRO+uss0Le++//Z2+NNVYHJUvH2ox+3vLK9OlikXSE5P0AfYIcMn1Ibzp9XvJTVnYhDK5+TimMHt3brLftRz6isWpqrZ/jFCkVAaW3LUXJzbohAMg6rVmU0k2sPaUl64YAIK1aDZTSTaw9pSXrhgAg67JmUUo3sfaUlqwbAoC0ajVQSjex9pSWrBsCgKzLmkUp3cTaU1qybggA0qrV4K677+6tvdZaYf3feeedvbXYRq86RWnJuiEAyLqsWZTSTWTPiBGr9R555JHe8sst33viicfpp78LS/zw4cPl5/qWjFb/5Mkv9fhnfnIgSGmffeZZ+gn16N4/H3yIzE3v7HPOoZ9rflLCfkO3MuFbmjAfxz923HrbrfST19HzRP/58HfY4Yf1jjv2OGkzb9797nf3fve73xHKY2cIANKiaqCUbmLtUcsFF9DPWnfSn7VeddVVvQ/QTyyNCwBZlzWLUrqJtae0ZN0QAKRVq4FSIvFuWhOY/xJBO0DWxJt4TUSu180DAFmXNYtSMpHewvU+8YlP9H7yk58YZ9w24+QWF/QXsqp/1ll0O4tP75a46v/9737fe9e73+WbZrk8OPe88+g2GN+WNUF/5Gfq7+8Pf/iD3jrrrOvSuLaTlVtgQ5Rdjh9h2f/ozalgP+ywr/XoIXVQaR28i9bB70W3cgCQxq7BrNYvW+TXwS+v+lXvgx+g25OgLmRd1iyvtX4u5hDqQlq1Gsxs/Sn00/+1aP7TPanl9igPPvjP3nJ0PHZVrdsGBrF+bnmZNOuGACBzcIWU0k2sPdFy7bXX9N5Pt0TQ1xC6Zc3wHt8uoGWpWm268rx3xhlniP5Tvj3AjjsQlpVjHLrytfenP/1JhxIuLm2DC2puD3/6k/fqbOKfovPbbD0k8PImdQiZm96WW23Voy9fJIFG5xxidJvaU1qybggA0uUroVK6ibWntGTdEABkUZRvq7L66qv3XqRbA6262mq9iffc3Rs2bPGCpWqdorSo/sgjD/emTXtlpsafI/gfXm2ff5Zdbtne0q9butrbXftfbwUwjVI2vQ1xK4CyqSjopFK6ibWntGTdEACkq1dCpXQTa09pybohAMiyqNOV0k2sPaUl64YAIF29Eiqlm1h7SkvWDQFAlkWdrpRuYu0pLVk3BADp6pVQKd3E2lNasm4IALIs6nSldBNrT2nJuiEASFevhErpJtae0pJ1QwCQZVGnK6WbWHtKS9YNAUC6eiVUSjex9pSWrBsCgCyLOl0p3UT28P1bihdOw7J02EEEwKQ6NEiwojSvANMcCTaWDjsIMkyqQ4MEK0rzCjDNkWBj6bCDIMOkOjRIsKI0rwDTHAk2lg47CDJMqkODBCtK8wowzZFgY+lwgvQGUL5lpfdcPH/on5zVTBi2gSWuqBk1aqSrC+hqpvrnnXduQycImg9+8INah95VtNXnh0EMG7aY/HRqUXpgjbavbgvqn3lm+uYZpUXW9WUcocMu4AAALORJREFUvDnxYVIVGmRIaop5BZhm/jDmLeNvJoqI0dAgXUoHzSvAtBYG++An6SDIMKkODRKsKM0rwDRHgo2lww6CDJPq0CDBitK8AkxzJNhYOuwgyDCpDg0SrCjNK8A0R4KNpcMOggyT6tAgwYrSvAJMcyTYWDrsIN0TOay/xWjN/etfL6ccILqUDppXgGktDPbBT9JBkGFSHdr05i9/+Yut/R122AF0kaPXX18eQuWPDXfdfZfjaJ5PfWpXy7Hddh8J9Q/92qGh//TZs1lttVVTDrTDpXTQvAJMa2GwD36SDoIMk+rQIJvm3B+fa33g/vIVKlOmTnX0zEXOWAh+kg6CC5NLSDBawWW5yy67SHuWW27Zhq/6becinqXDDnIufsEUtWhVX96aV4BpmWBZ2Qc/SQdBhon1s88+qxrrtoe5WYwA05CSJGwsHXYQZJiOP+H4UHvkyJEN3esXtCA5ZjxdWe3n/9LLLO0ePIesLB1O8M477mr+57v/0xzw+c83I1ZfnfK0//1faaWVGv6JM50MauikhLUBGTW1aeYPNVvqm8m1ToORCzKnPPfcuA74PcLUKbwOam62sQ9+kg4iM0yqQ4MEK0r2fvzjug6WXXaZZto0Xgf+hXiWDjsINkyqQ4MEK0rzCjDNkWBj6bCDIMOkOjTIpvnWKd+yeca3pOCXeQWYpikCg33wk3QQZJhUhwYJVpTmFWCaI8HG0mEHQYZJdWiQYEXJ3kmTnuXTmTY2/PeD7vubiIhnmfFn9vyM8OkLwOb5F54XLrysTJ06pfVXFH6dA+P9L3SuD5zfV2cb+/bbdz+paU0izdfPWrRqUN6aV4BpmWBZ2Qc/SQdBhkl1aJBgRWleAaY5EmwsHSaI2wLxeJ1y8snm1WDHddlKCJYGm+ZosLF02EGQYVIdGiRYUZqXAN0TXvc79SffCgAMlg47iIwwqQ4NEqwozSvANEeCjaXDDoIMk+rQIMGK0rwCTHMk2Fg67CDIMKkODRKsKM0rwDRHgo2lww6CDJPq0CDBitK8AkxzJNhYOuwgyDCpDg0SrCjNK8A0R4KNpcMOggyT6tAgwYrSvAJMcyTYWDrsIMgwqQ4NEqwozSvANEeCjaXDDoIMk+rQIMGK0rwCTHMk2Fg67CDIMKkODRKsKM0rwDRHgo2lww6CDJPq0CDBitK8AkxzJNhYOuwgyDCpDk1lT2NhREgt2xmwQsa46XKfFrYV96QhukUIMC0mcFo7A1ZIF8BV+/XTgAze+F9xxRXpTVh+Y7j66iOaddZZp1ln3XWbdUnyv3XWXadZe+21xb7uOms3b1zrTUUc3f+N7gc3q/Nvp512KvL0mre8Zb3mrrvuynMq9Zo/tDzzzDPN3//21+ZnF/+s4ZMs8kEwnRCmm7XPcv1ihtn4Rrtq/fmHdTl48y+Oc84f7f3x5xGYXfNPP2Dk9T969Fvbhn+21c/F2vf/ifSTOHxY5BM7vMjBHDt2XD5+pJ9j0oOtckpCP7/4EuPQFa7yoRfxTNxkk03ccUQ/gH76058OOViZXeOfC6FVkNnDiH4hIP2QD8vpw/Mf/nC9HPMsQoBpMYHT2hmwQroAgmX/L7/88ubrXz+2Offc82x/KGiP99naGbBC+oi6vnmJbhECTDNKCdoZsE7XD900n3is+d/o9UdX/becFIbI19p/vm/uIossrPM11b/ql7+UUuX4oz5drarzN83/7benLw5m8LL2Ot6jjz6ideXvKa2DVP99dB/CF196cY70X5vT1rq8/2++idaBnTzS49bveR3wS0Lb45Wg23YGrJA+ItfnIp5x+WWXN8fQOjjvJ+fNlfrcGGuPANNiB5zWzoAVMge88OILzYorrmjHH3roT3YS3SIEmJY5BWpnwAoZg7rm/5zoP7dkoPprrDlS1guftOQTnRMm+FtpxX6w9sY36fvnPfbYwznR7+nNNddcY+tvIVqH793svXSs/XpDv1Bo7r/v3oYeTNe88MILzac+9Z9pzdI6SOv/v/7rVLkPMz1Uq5l478Tml7+8qtH32flv/CWXXurqAub6sHg5UP8RqRPBNB8ecDsDVsgQMuD4W4QA02ICpzHjr3/9qx3vVlxxpeb5559LjPb4eb3/uB0Jz78NN3yb620NO3o4X/dfGi8da++dH4V2BqyQPmLg9W8RAkyLCZzWzoAV0gUQnNfnn7RWmt7eft+bdgaskD6i3//+/se8iO+/5sTff7liFeXzRGcUrHHGFhqYOI8JaTQQzBBBcJtiIJJbNDBRF9KoIJghguA2xUAkt2hgoi6kUUEwQwTBbYqBSG7RwERdSKOCYIYIgtsUA4F85JFH2psL/XZ7SHM7nbjkF+pCWiClop8ouau89MPnhRdeqHFG5CRQDMAgMp9YxVWrQ5pTTv2W+FAX0gJdqhPS1T3D6OotXC3i3DOsbzkdQDzqQhoFBDNEENymGIjkFg1M1IU0KghmiCC4TTEQyS0amKgLaVQQzBBBcJtiIJJbNDBRF9KoIJghguA2xUAkt2hgoi6kUUEwQwTBbYqBSG7RwERdSKOCYIYIgtsUA5FM2gYbbGAfmPmLih122lE4qAtpgd2pNM6IBIxrwHtbMZiou9lmm9sxih/+kXM29nAfPXbpSdGz6ApcvB5/7PFmZbraDlfw0M+r4RL55JNPNnxlvHwglhNK/AG11zAP9SEtEA00QwTBbYqBSG7RwERdyJdemixtxdVR3OdTTjm5yoB4cZhioOKXBjBRF9J4IJghguA2xUAkt2hgoi6kUUEwQwTBbYqBSG7RmKlrIp+I2HFHXRNCn0Gq4DbFQEtFNU2ZPLlZU07Q6DzmtThmizE2Dy2wSMVfgvr5/73TTzdqXitFUGYY4vpDhtBacCctF1p4oWbixHuNI2AGqYLbFAMxV4sGJvY7JKiTX8Q6wDj16GrKU+DOXWYLkmVgvC6AENSFND4IZogguE0xEMktGpioC2lUEMwQQXCbYiCSWzQwUZfliSeeaMfQ922R7iHaEssmxIvbFAMdUdkMpq+fvYRACMasBLcpBjKxA4E5K/X5ywf8jWH5ne98R7MjmWv05ZddJtzFl1i8odsqVK3gELqtFXGGNEsutWRzySXFSVDL2TSvf/3rJZdf/3fSRQn2Mu705oADDhDuUPr113PP4SSiMQ0gZFb6b8EEEC82Uwx4aisGc07U32qrrWRMeJ8df9xxoclzon7bALza/uv9zvWYaFesIlncK21lzYaQ+a3/6ADaL7opBkDrlGD2+69DhHGwAcMAmSGC4DbFQCS3aGCiLqRRQTBDBMFtioFIbtHARF1Io4JghgiC2xQDkdyigYm6kEYFwQwRBLcpBiK5RQMTdSGNCoIZIghuUwxEcosGJupCGhUEM0QQ3KYYiOQWDUzUZVndCkBJoGqWYEN0S4F2U84liDbZUkeoLzKCrV+/HrQBLXksBdEmW+pA9UWGt+0iD8jQkwn8gWqJJZZwPyOs86Ha8cfHnysussgizTMtP1f0tZDN2+jejvIGUj7MpQ90//jHP0BtkbkvjO6/7355Y7Txxhu3cNHaHMMkX7/+1NqaxhlzLkG0yRZHS1B9kRFs/flfD9qAljyWgmiTLXWg+iIj2P7Nx/95+oC18MKL6MmUtP6OOuqoeiDNksdSEG2yxUgG1BcZwTaD8eefHS9Kxxb+4LM2XSnvq3GeY+lKMXygxYdLPjbh9dGPfSz5hzQf/dj/E7Ov/1N+kAj/jJP7nvrPJ1qfePIJpChk7osg2mRLQSVVfZERbDPof5lx1KiR1l/u9w7/b4c5Wh894nZJP2gTexdbHPqaXME2i/331SQPbTRfrAst1JrJ+nyl18J01SjmE8u8JnI1QbTJFlTNUn2REWyu/9886Zt539Jc5Lp/+MMfcjJBORejxx59zGLQXn+yJtRKmYLN1ad7RVouXgucj+6bO2B97rzmK2httdpsrn57htKq1UaNGpXbyuuguEUIokJfB7E+p5LctNEaqBjlglD/FXqQGt2P0o6P+quBf5/+t+1Rtvn9zw9XxPrj4zKfGDVOMUPettHGMncP+epXKUn77Nlgww2aYfTT7ptuukny5E3m/+3vfw9rgOu/YdQbMpWQn3//+Mcdsg8323yMebrqhyRByfUF0SZbAlEU9UVGsHX0v84ES84liDbZAk6W6osMbzvz+9+nMdS//6uNWK15+eWXc3AryrkE0SZb6gD1RUawDWL/+eISvBfCidVQKzUv2Aaxft17jM2c6X+/fj0CYV/397+MQBiT/vyvJ82AlryWBdEmW+pA9UVGsM0n41+cWHUdMmjATTIdEPRRGJFWjNiATsd1PIMG+vVpBPxozI3x34o+OPEfY9yniR6Iom3yDXN7VOH0hp98ig9f/MaEn1hdv1wSgwaahx56yN4IoP4b3vCGmaqPWpNf4ieD820I9oLJyVwrD7SzEdNrc2P8+/Xz7uqPv46FzAk/MfIQJTSg07Edz6AB4U245uqw/vlYcP4FF8SF4TIqjDkqtxkcz6ABYXmtbf9feNFFdoz43Oc+lzLnqLN+9CNZ//7EKN/agF/nnftji11xhRWbxx9/nKw5ljm77b571f9NNn17SWOqe8UczlFAxzNoQLhea+t/kbDJtz7QE8GrjxhRUpzushs08Krqa/KYwxUsoOMZNDDP1p9wdTrBmE6085q44HxaE/aKfTBzBRzPoAFhQ+MvJZdddrk0X+mDPtX84H98sMqoBkQ1cpUVTgzwGuArbfMr8/K0dzYieu0Qejo515V8LCnfeLr3YP3yUbU3WxzPoAGheW1m5r/mnk7rYGx4/zGCbl9Uv1x2gwZeU/26VpvF1TJoYL6pfyn9bFznBb9PXIjet9VXWbb1Pswu67aB+ab/dd9iH9h/9DFHy3zEOPH9p9v6f+GFF8hY0kMYm2cnTQrrD/P/4UceoZO0Q+j2EkfXpcWi9U897dR0MldPDPJ6xd8+DXTtJMhfUvLJ1+PSlZnMcQw7xyo279Bkbjugs51nIQaE5zX0X2ze4TIqHNDp2I5n0IDwZKz5lifpWH/xxRfrmESay8lwQKfjOp5BA8Lz2mvp/3N0GwN5DyTH716zPt17PrTTChkY1Pqu0w66WgYN9OvTCPjReC373w26gy67QQP98e+Pf3/++dWSloaIuEy6rljV6ILrUjJU78CcHFKyRW8J9iaPcyYg9Q7MAbdurcS1BHuTxzkTkHoH5oC74NTfaKONwjftn9t//9zJDvTSiy81Q9O3o/iW/jK6315YpSnWj6fH7P7BD38gbzKRg9+U7rtfuql+R22Ysbf+Rd8w709t/uVVV81yfeRSiYzR2qWVbNHVGEK8yeNAEkW9A3NyVMkWvSXYmzzOmYDUOzAHXAx1ZgvKqhG9yWMjGFDvwBwjV0criWsJ9iaPcyYg9Q7MAXfB6T/ft82vP16Dt95yS+5oBypHS/SWwfMmj+u06i05e+y+h32ov4x+QokX2NdcrSeGud3oxzbbbiNf2iyHE1X0oYlvU1Lm5lx8JRbi8KH48MMOQ5lOifogiN5SwJs8RlyW6h2Y0zRf+tIXQ3u57Q888ID2rSXYmzzOdYHUOzAH3AVn/rf1iNeE/5DK8+KWYk2UoyV6y+B5k8e5rqJT6fY3mH8iac7+kL406HpxrmnTpjYjVlvN4nguHHLIISHE1/Q4kESZ3vCvPqwN6UTD7bffXlPJorlyRkFZtRhv8tgIBtQ7MMfIzRe/9CVpq1+7/7z/gUxIyOfzuCJWPaoZ3lK2VvSWAt7ksc+lWL0Dc3JUyRa9JdibPM6ZgNTbxtl6661tXmy0kd67sWSL3hLsTR6japbqHZjTzZa4lmBv8jhnAlLvwBxw6/nPt9+wuUhrhy884JfP9+RTTzWrrLIKjeUQudVMzpaZzOerVLceuzU9wIofyNb+Yt7WW38410x//y655JIQ4Os/SBcy8ENg//znGwJHFWV6fgvJTCVb9JZgb/LYEhlQ78AcI1erVeJagr3J45ypaTaVe6zzF0r0ZdYH/8O7OrHmyhkFZdXivMljIxhQ78AcI1f9v5ruyevn3worrEAnyuO9CAfO/drqS3RLAW/yOPcESL0Dc8DFuspsQVk1ojd5bAQD6h2YY+Rq/CWuJdibPM6ZgNQ7MAfcfv/L0RK9ZfC8yeM8kkDqHZgDbn/8y9ESvWXwvMnjPJJA6h2YA+6cH3+7YrW7gTjYOoZBA7kHgrrs7IQPUkOjpjZ41OcYBg34AMJddqbBB6mhUVMbPOpzDIMGfADhLjvT4IPU0KipDR71OYZBAz6AcJedafBBamjU1AaP+nS75sg15Y0e7tv33/+d7g3lQ6yGGi+gK9rsqhZ6MzKCfkKTnyKOKiGBU/L823GHHdMHWH5IiF6lc+WVVzguYGoxCX5C+BR6Ymp+qS+Pg3pgzTygXB+W3L2uqC47Z4APUrNGzSoJX32OYdCAD5CYwuBUxECqK2qOTu1Vn2MYNOADCHfZmQYfpIZGTW3wqM8xDBrwAYS77EyDD1JDo6Y2eNTnGAYN+ADCXXamwQepoVFTGzzqcwyDBnwA4S470+CD1NCoqQ0e9el2p5354XF5/fGVG48/Xv4Mvjvba60vbbL0BqzBI0bwk8p7zaJD+b5w+vRkcxK488477GoTHJP4wQ0f+vCH7Ri1Mz0gL7/y/JeHV8gJpNj/6677v0wXVLcrE+CDVE/UMpvHS32OYdCADyCc7ePH0xPgU5txEux///fKwOHgHMGaf722+j6TYlSCjNY2vjId36CBIqzLzjT4IDU0aj7djPu/0047y5zT8dW/S48/wVc7t71QCVI5UfNx7fXf9c53SU29cmpIM3ToULnCbKBs5557rovRK01//etfS8is1n+C1jzXRn3u+wi7Gro72+wYfz9aXf0fP/5k20fa5l5z5ZX/a6HdLW4f/646A9vZi0qQM4qYv+rfR7daWmihdEUk/Z044ogjtIO2Rb8hF6z+z6g32P+XX873TdVjBcvRcsWgDZKAj3/84zJn99p7H9LdeBk0EAM9N3mmTp3WLLnkkmH9L7roULt3alcmrqs+xzBoYIb1MwExkOqJWmbPi/WPOvIo+/zBc33ixHt9gwl39yb7IidqPt3gjf+UKVOahx95uLmErrIdNWpkmH98/N5zz880N9xwA90u5lF3kn7w6muv0FPIaPU9h0eZjm/QQBHWZWcafJCoUqQwtd9/HSk3XgYN2GjNaDT7448xg5zRiPXnn46UGy+DBua5+UcnVovGmWqgaHRWIwMTIPmDk5Sk4/L1rizgWUAmViiUoMCgl0q/vozfax3/1dPN7/VDZK+5iH56q6/u8f8o/exf+PIU0iHNkfTGJL/CjnK7Pdr5vl3LLYefPuq3xfxUy5fop/1d9c8//3ype+UVv7C8r7X/ud2WsrN+5lJf+vNPhqM//nlWKIrzHPPEJkxJd3qM7F5/kmuQ5t+Gb3ubrmV6I85rmu+VrE+fnDP1XffzUIlxevOXW2+hNumH1c3eu5mjUudT/1+kB9mAU15lyP1ZeaWVmyee4BPFcXQ52be+VVwlSPyll1463Wdt7vc/tDgpZ59zjrsyhcdmSHPqqafFsXFa7nbI5hmGI2Pe7L82llqaGjs7jj9vC2tiiK6JV/zoDG79++67T9Ye/gaz3Gabceiiddl2FHvo/0023TTNfV0jS71uKbmKNfMIWbMNBDcUnKT1beDbZNgrhJOS9Nkx/lpz4Pl3ztnn0BcMOv+x/vmn0dYwNNzabQCeSkbGwPXndv/nVP3DDz8izM3r//hHHeO5vP/nVP9tkoTJQUrR/xtu+HO4yn01upJcXol34UV6CwC+VQc/JK7tFUpQgaAXyjVX0+1Kivm/+ZjNKW0gOrWwtzQgMgaujzJza/0PZn0++eiPe4ceeqiMYxiPUkn63Oz/XnvvHY7/be9/0K+jj/Gf0Vp2fjVz/n32P0Yj7GKaYEEvlXlg/3O75+b869fvj/+/y/yjE6t4hSOBO0wUBwzQWcYQ85Rm6Cr91kKqZLlqRp4tGIkLR2mG7ivDlkOjJVfNKHMTiiHmLs3QVfqthRAAS225akaeLTiGmLs0Q1fptxZCACy15aoZsectb32Lvangn5Jcd911GuC2PtOkZyfJbQDws5OVVlyhmfRcvFeUhvoobg10Rb/73e+1rlx9pSd1PvwfH3JVM+TIyfRm9E1velMzbNjizQsvvihOzei3OWZm++8jrInBWGbKuq+s2AdGS9l/zzQcQzrNoKn0WwshAJba+vUxHnkk/GgJBqVwlGboKv3WB4Kltlw1I88WHEPMXZqhq/RbCyEAltpy1YzYwydj8Oab17R9INQw2cZMObOvXHIySxPlqhm5EiAF04knnGBt459n44VaqD98+HDi6ckl9AXy5z//uYTlqhl9mK9qdccf7v/222+PMiZRDwboqM922MApLblqRpmbUJ1EHN484VcTZExw/GW57377zrH63CC0R6Xfpn5UreaYHAXk2S0h5i750FX6rYUQAEtts1J/qaVeF8Z4VZwkSemR2VeGLbcgWgaqj3tYYp/yXD7mmGMsVcykPfvNr68NbeSYcePGWcys9n/XXXfNJ+zTWrqAvsjkV1v9bFdvySmjBuq/FMkJTQUoc7M+4Ve/qvq/7777IoRkjBrs+lxIK/itK7+A1F9vvfVknPl4+rrXva6ZTl8wYGR9z2HLIxAtPip6coQldiaGJR+6Sr/1gWCpbXbXv/+Bf9o48Vgtvvgwa8zNN9/cLLnUkg0fV+644x9Vf4wYm9xpZtpXv3JwNf/9vVPLUZvd/a+bHi3zcn3+InmZZZax49+6677Zxp5B7EnW1e63PixGzcv9t1bHJneaQfM9h82CilHr9x8jlEcij1VCoBSO0gxdpd/6QLDUlqtm5NmCY4i5SzN0lX5rIQTAUluumpFnC44h5i7N0FX6rYUQAEttuWpGni04hpi7NENX6bcWQgAsteWqGXm24Bhi7tIMXaXfWggBsNSWq2bk2YJjiLlLM3SVfmshBMBSW66akWcLjiHmLs3QVfqthRAAS225akaeLTiGmJvNcmIVZ5FDChek0G2dTxqUE1hyBUQM3MKd1BzuyBVUg2ydr1+fBiMPYDHA7CtMLWoOd+QKqsF+MptOMPztb38dsP4PzqT7oso35Xoy9Nvf/nbVgpmpf8Thh7k3onRShOqfdhpfeUXtygkk97N0MvdDH/qQ8MduPbaqVxpyeNVpoarVbR2trX7OT8TAzR6P+vV1NPrHHzdZKqgG2TrfnJx/+eFxuv74A6HcQy9PYD+tCVNDQ1sLd1JzuCNXUA2ydT7f/43T05P5pNEf/3h9Z32+CggnUrMc0uzycX6ASHq5GgynTpncLLHEEiku9/+73/0fakIiuxjNQobKhgJZ5nBHrqAaZOt8vv91renNbbfeFo6/3N8tt9oqFyc0O+vXbQqlRZmf6/ODefIc0r9xG9E81BftqLCv6r6zZVb7f9qp/xVO8HP9H//4xy21tD5/sbjWWmtV7Tz1VL5ic9brT3+laVZeZeWQb6GFFmqeevIpyZc3s6f/cUy5RhrkJNrq33YbrQMaJ/9vq7QOcrhLUEE1yNb5ZNBzglxaEBEDt3AnNYc7cgXVIFvnm5fq33P3PWl89UurLbYY82/V/3pf044K+yrv/xdeeCHMRf6bNe3laXKv79XpwWo8T39y3nkSoCncNuQkJU+gXACRiRuvqtd1wFde8iuHu8QVVINsnU86mBNIvrwhYuBmj0c53JErqAbZOt/cqr/lVluG/XfXXXe19JUaGtrqe53x/Nh/13rqY+pk1dd+//v7P8+ULpSnj5tAFVSDbJ1vbq3/3BdqTO5ANgtiX2FqUXO4I1dQDbJ1vn7/aTDyABajy77C1KLmcEeuoBpk63xd4++uWC0qhmD2eUM6BeJNFu5Oj5jfQErjdIsrQEXxhn59GQ0/JDZ8s3f8+VtufDjhK2ZuuOlGq6wg1n/HO95h/LXXWbt5edrLRGtteMxTUDbddBPLg/q777Z7cxQ9XfUwOun6RXpIy3/+5382H6A3PIvS/eZwNc93v/vdWK974AasH9vcn3/dwxj3vw6q25ndgf3x9yPghqwaQ1o/3cM4+8b/2mv1qjesP15j/NCM+Jp99XOduv/3TNQP9dymZZZdlq6UorM/NoYGxLbNuLHVsWTV1VZtnqKHhdjLhbBtwgS94g19Z8m1uG58zZ3+5zbE+nxbA2tz+jJszTVen+ldqOi/G0yKqMc/p4n11e6SCXR6DoyoonjDvFP/Wr4SlMc1jS3PiQ/Tw3vkZU02kIbR6bHXWaso2XDggV+Wfcq1UPs3v/1Niq3Hf/fddtM54NrIc4LvP47XiSee2Oz6yU9CjbtbrLn+zTffVNV/xzvfkWLr+iGZpMm5csECVRRvmPX9L+ug6P8aa6xRFHWqLydmb5j1+pZZ0vhc5omgonjDvFmfT9TLnKS5xfLggw5OfXJtF+j02OusVRRvmDf7r41PbWPFmmwgrP/F0gNd5fhMc/PeiRPpi8qNaG0Nab5MD1uLL5djFo+/fM/MIXxxg5v/eFhRrOE0X07M3rBgjL/rbQ19d1v6/5WvflXnOo8p/Tv5lJNTjpnf/3VRZ5lBfXFXHI7v17dhqUFYf260a2ixcHlDf/7LaPghwTD15x+NQHrVoD//uicORk2ljR3M3jDvrz93YlUbHptfTpCWTkpAjvXxaRZJEOyQyJRlzgGbcQ1UnjBRmRapWQOCRKYs1eP9hg2A7QwCVeet8wQNdkhkylI93m/YANjOIFB13jpP0GCHRKYs1eP9hg00zf/RT//xQZ3fPF9+2eVWh2mO2lx26SX2AYzvh/qnP/0p+HNtRhrp44Eff+wxeiDCQvIGBm/cuQ1dGO1biN7w8JNNc3ZUEVOx6a5fNxotoxQCc6zzwCl1YIcsihvX+w0bQJQzCFSdt84TNNghkSlL9Xi/YQNgO4NA1XnrPEGDHRKZslSP9xs2ALYzCFSdt84TNNghkSlL9Xi/YQNgO4NA1XnrPEGDHRKZslSP9xs2ALYzCFSdt84TNNghkSlL9Xi/4QROP+OMas3xlxuoyjSLkcRZA4LMdYHU4/2GDURuLjFdfgqNdc9Xq+srBwKx3GeffeTDq37Q1KurLr/s0pyujKYgiaHjiT/mvH711VOHNTtvFaUEToMdEows1eP9hg2A7QwCVeet84jGP1scSk92xtjIcZM+ZL/0UnnfvpyjqhKTxiriy7GRmjUgSNTIUj3eb9gA2M4gUHXeOk/QYIdEpizV4/2GDYCdDad/73T7G4cx3n333RIx84AgkSlL9Xi/YQPKPvJIvY+ln4uXXXqp9D1SpzcHHXSQzNlhSywe5sDyyw8nvrJ/9KMfCecjdC90H2/YgNbHLTd8/SPpIUVMi9SsAUHmfgOpx/sNG4hc0cSnBN5GatZeIQ8/4Rz7iE9eDaEHz+R1kHNUVXKa5HIGgTnWeUJrYIdEjSxzDtiMa6DypA7n2EjNGhAkMmWpHu83bABsZxCo+vvoyfZ5fOn++xdegADbLy7SfArU4/2GDSDEGQSqzlvnCRrskMiUpXq837ABsJ1BoOq8dZ6gwQ7JmfjLPJ6Hckym97Or0sPfGI+lL2ZeocvCjWuAo/jlDAJV563zmHbeuT8O+4Vr7LLLxzmRe+UcMFouA5UnFcyxkZo1IEhkylI93m/YANjOIFB13jpP0GCHRKYs1eP9hg2APb352c9+Ft4LvG+LLaR2pGYNCBKZslSP9xs2ALYzCFSdt84TNNghkSlL9Xi/YQNgO4NA1XnrPEGDHRKZslSP9xs2ALYzCFSdt84TNNghkSlL9Xi/YQNgO4NA1XnrPEGDHRKZslSP9xs2ALYzCFSdt84TNNghkSlL9Xi/YQNgO4NA1XnrPEGDHRKZslSP9xs2ALYzCFSdt84TNNghkSlL9Xi/YQNgO4NA1XnrPEGDHRKZslSP9xs2ALYzCFSdt84TNNghkSlL9Xi/YQNgO4NA1XnrPEGDHRKZslSP9xs2ALYzCFSdt84TNNghkSlL9Xi/YQNgO4NA1XkLj94KoIUvJlwj6wIsEjGQyDigDlKSUeRWWQ7wnSubwFJZ2lt1GJOMwhVJqfv9tzHGyE2dMrVZlq4Iwxvovfbaq3X8+WeBI0eOMt5Pzvsp8ZAlDjys5kbVNP78M0fUgxw7dmzzve99jx7EcmrDV9sc9rXDm33o6al6jy99s7rxxpsgUyqNSrNWn5MgMoOcWpARkr1VhzHJKFwR5ADfubIpNqC0t+owJhmFK9KvLyPQX/82x3iqHHjggdU61Ac3kBNTCxGtOoxJRtGSA3znyiZUkqehL7/ccPqgo+t+//0/7wISTeI0+LjjjrV+8BPCd/3Up5RU5k77n69kXYruF4hjD+SWW25pbZib/ZdGVG3PTeOnteMDPNp+66232hhZqIEU25//Nog2NAbUldcEnahL8+/QQ79mYxsTIDjJKFpiwHcuMv3orLPqufj+reR+lqj39FNP0y84Pi28ddZZpzn8sPhQoTFjxkjSn57/02ahhRem+5Gv1Tzz9DMIV9mx/9/3vvdV9X/3f78vYqOq6wP9iR2HtV5D5smubIoFSnuLPmLEalW7b7vt1u7cHf2PhZPWUi/wxA9SklG4nYyc4DtXNoX0uROIjW71IzgWhrXOYZ7syqZQ4Nln6F769JR5Pb7ocfi+++7PHIlDcJJRuE6iD+A7Vzbl3IxKe6sOY5JRtOQA37my6TXXX4vWHP/98WP25je/uZk0aZLmHqT59yn6+1Ye//nLFIyZdclA6tog1ZdskhsFkozC2mMDOw/Xf+CBB8KxZJGFF22e9sdPdBWdER3G2HFYsT8QYj9xJUMnB2QjJEOrDmOSUbgiyAG+c2UTKqss7a06jElG4Yr068sIzMPzP+580rBr4WjVYYw7HtY6h3myK5tQSWVpb9VhTDKKlj6A71zZ1K/vR6Acl1YdxiSjcIOcEs/H8z9fseo60TZeGBLvA86+jOCDFE/ldoZ+fQxVkBghyOBMSvZlVPLEU7mdYRbG/xh6MAy/GeQPknwT97vuvju0ZNKk55qt6KQDPsQfQVfYvJb6n9z1k5rLrhgb0vziF7+wLuZeKPrYxz4m3yYfffTRkZOJob2izEL/LWmVpSpgVPFUbmfo17ex8gAjBOl9wNmXEXyQ4qncztAffwxVkBghltt+ZFtZV/iQxuuf73MMTv2XMacSTiYmhzO8yvGfNm1a84lPfsKONXzMeec730m3HJmWixPy9c8++2zj80nHZ56hE0od9Z948slmDN0rUI5l7vjD+npvXq95+eWX52r/uZN5FDPynd94k42tvzgmX3TRRSGyq//ICOnzAmdfRvBBiqdyO0PH+IMBiXxeZl9G3s9YPJXbGV5l/W233bYa29NO+6+y/KDWv/e+++TqS5zIxT7dfPPNmvHjT2r4i4WVV1pJ2sUPl/sHPQDnoIP14TXgLrXUUs1HP7q9/BKEH+Z2G59ob3lhhCBfeP75ZujQxSQ36i+z7DLNv/71L4oGq04knsrtDK9y/LlSzpJR2QL25Hsw42QWXVUp64CTtMfCClnmZT37Mip54qnczjCf1+cr+DC3+O/DiiusEIZgQe+/dtbtz9D7NEcK9/rrj3Zj1mtWojV7j72XjhmL0JA9+zLyBL0yNs953k8PP/wwURx/Pp9/cbR8753HdddZE6ycYocVUsm6XWXlVcL+u9Bdoe15jCW+SuIM/fEvh0x0jBBkGyn7Mip54qncztAf/3LI+uNPI4AZAtk2SNmXUckTT+V2hv78K4dMdIwQZBsp+zIqeeKp3M4wyOOfT6z6lrh6oXee0+EoQ6sQNhAJP0Pr8gd7Z9LaUVtCJlX69V/T+E+ePLl5z3veq28q6GTDmmus2fA34H+8/vrmzB/8gK5UHSm+5Ycv35yXbsAf9sIsjD//lHXFFVbUEzpUi98U8r2pXnzxJUpZ7222HHLIIcK7ie4F1/qahfoSX5dJaWtHbWlpQb/+a5p/eUTr0a4tmW2oP/6vavzfOvqtuuZpDeLk6vkX6JPAMbZzavxfeOHF5thjj2022ngj+YKHjws40cOYH9ZzyKGHNBdckH+OijZec/U16bYiQ5orrrgCZpOPPfpYM/7k8c0nPvEJe2CV/Ow5HX84P/q/3lvWa7785S8336GH8j1w//0tRyRLm8Ecnn98db+2WY+fjL950jdze0pU7sRSN37tqC1GzoBIC8rff14TmHeQ558f10TueEKD0P999vms7lOak6gLiX09ctTI5p579B7A+JsIH98Gg/mrrrpqc/vtt8cmljvR6ZdffnmaS3pVIufhLzLxclSYajkI/dekdbXaksuHdZD6f9JJJ2UCUJmk1MFrWe2dVIshQKQFZf6jWwfTiXs///jLrc7XAth/9HVW9v873p6fPzB8heGN/IqAE5VJSh3FKmIdyjltzcvfrV6z/uj1F7j5hyHpHCoQWBJpMNbfe97zbnsfwWN80IEHtewRXzjhQapf7+02S79+NQL98R+U+d822+bk+uvXr0e7tlSzX4ZtMI5//fGvRxuWeGKVrHDI7ug4i2u7ypEVOgOToIrkTdqdyQ63zxds/fo2NK3ADZZCZ+AAqCJ5M3jj/zT9PHaXnXeJH7LozQWfgFhs2GLNdttv3zz8EH8rLmXTZtbr//nPN8Q3hvSByH6Ci/6hROrwWHo4zetfTw9ogX829J+7ZfkNoqB4s79fP43QrO//NJLtwg23QmfgCKgieTP36j/99FPNnXfdoU1K7ULzrHNkCLZ57Pi38sr0JHBaf/whAvdX/M1v9KE52u7Q+twZMfNm8Mb/SXoo06KL4J6J6SQP2pXayO0cueaaqR25/l133i19+LTdCzPtAaIwCw/p0j7m3PIBtei/2OgEFcvqSyROxi+RvBm8/ue8grRE2qpFygnk++D6tvNJYb73Jprn+cE2j80/ayeAa6xCZ2AOVJG8GfzxlzWR9j+PMc+ZX+NBUrOx/r/oSuk9dt9DH0pT1B+62NBmv/32a/gLAnlRO66+eoKtXXwpsDX9nbz//vuUw1viockaFzQxfW7/z4X1z30+/fQzUlzBhyqSN4M//tIoycwIBZMVaqq/+x676TrAeNFaPuigAxNZwxEixv78z2PThtxgbZFuDyHHTBrXHXfaKe+ONP5ze//Pa/XHvG8LmY/LLbdsc/NNN8t4uSElPWj1HnBuhc7AbFLHjx+f5jz93U5/uw46UB8qVrBnS31ptBTizdxd/4Ndv/z8M2bM5tJd22CAF9D++8OtdhUdTiMAtd9/mfuDPf/6428rLQ0FJlx//skIYDj662+Or7//DwAA//+ntzZQAABAAElEQVTsXQW8HdXx3uAQNHhCgGBpoYVCFNfi7i4BKliQFilOW6xAaXH+eGgp7hIKtFhwKAVagnso7gkhefsfOd+cOSvv3by8F5KXe3/Jzjcz35k5Z/as3H17d7vl9MnyLMu60X/3SU1Oc9DR2wcRC9JFSU1Oc9DR2wcRC9JFSU1Oc9DR2wcRC9JFSU1Oc9DR2wcRC9JFSU1Oc5Dp//nPf7Inn3wye+WVV7L555svGzhoULbccstlM8wwg4tWAxEL0tFg+t3vfpcdfczRmc1Rcpx66qnZr3/9a8dO4fDhw7Nvx4zJNt1ss9RR1JAE0vlTk9McdPT2QcSCdFFSk9McdPT2QcSCdFFSk9McdPRW4ceffJKts9Za2aeffZ7NMstMNGf+q3zEgnRRUpPTHHT0huEtt9ySnXTSSdlmm26aHX74Ebrfq4iZmpzmYFtJP/jgg+z2227Lrr3uuuzee+7JVujXP3vkkRGxGWJBRo9NdzU5goOO3j6IWJAuSmqiQwQZppth+qxl3Hhl8fGCbCNHjsyWWmop13ICIJJAuqapyWkOOnr7IGJBuiipyWkOOnr7IGJBuiipyWkOOnqr8Mgjj8xOOvFEWl1hpRF7j913zy655NJOnf+tdoqdGAuka5CanOago7cPIhaki5KanOYhbRTTTz99Nn68bhOobsPbBGJBTmB+pr/55pvZrbfemr3//vvZnHPMkS2+xBLZwIEDs169erloCm+//Y7sxhuvJ99C2dq0P15ttdUneP0vucSS2SuvvhLbUeg33ngjW2SRRUr52jRg3JCuQWpymoOO3hA88sijshNP/L1wsa52p+3gUmwHLkqaxmkOOnr7IGJBuiipyWkOOnr7IGJBuiipyWkOgt7S0pLNNddc2ZdffCGbNNsPPfTQ7JRTTgGlWiIWpGOlJqc56Ojtg4gF6aKkJqc56Ojtgocdelj29DNPZ+ecfW62VN8lkxhpGqc5mDSoUdZdd93s73//e9jz66y/h85F1l577Sl+/1sz5MbNqCWka5manObgEUcckZ188snWarZZZ80++/zzbJpppjFbqwCxIB05NTnNQUdvH0QsSBclNTnNQUdvH0QsSBclNTnNQUdvH0QsSBclNTnNQUdvH0QsSBclNTnNQUdvH0QsSBclNTnNQUdvH0QsSBclNTnNQUdvH0QsSBclNTnNQUdvH0QsSBclNTnNQUdvE37y8cfZfvsfkPXu3YuOy6cqH7EgyfrWW29ljz76aPYEXdN5iv7zuV3PhXpmSy2xFH1/XSHbbZfdstlmn63NfAceeKCcm5511lnZQgstVM1HXkjHSk1Oc9DR2wcRC9JFSU1Oc9DRy5AvrJY/LQ2ZhCRUxzdoIAeC5HYeN5SsroHYndOgAcsVLc38vhaTc/1XXnllnso5nRKS7Cb4heefj12WgbjRGDTQXP+hWrEik3b+b7X1VrLeeD12795deuP7ElcmUIW3whQDOadBA7L+b7vttnyFfv2sHwccOBTJKmRsa84KU1X+Z//1bH7c8cfngwcNzOkE2/Lx2AcNHtxmOCVUJKswVeW3yR6BIR/CY+uUgbL3448+prHo9qfbonyHzj//7Atq5fgGDZg3WpIWljUCzwzWCpN4xO6cBg1M9fn/9Oc/J/OQ5+KGG28Uy11CsXbmqjBN7fX/+GPdJvz2wLX9/PN0m0DpILluHluNDVR4K0xCF7tzGjRguaKlfflfffU1mUd+vD/o+8N0NJbEQGX+N956M99nn31y+sOsjTqC2NZsFSbxid05DRqw/Ml20E33XxttVLUdxLYdmd9H9dhyGKjwVpgmdPw+hMeW1kCFt8KE/P/9zwul/cs5Z59ViuZDeGxEAxXeChPyJ7PZeAZs/UdL0sKyRuCZwVphmtzzf/PNN/lMM82UrJtZZpklHzNmjNUkjtmjisFWmCb38WNE6Dok2z0GL8oKb4XpvPPOo9p2C99NdH/y/HP4bhIbAEF2VH7prwR1kQ0asLFGS8eMv5mfKiBFdZU1aKBZf5ko6ZyL1QnORFR4K0zSROzOadDAVF//W269NZ9//vnlOEB/SI5lczUfP25cfsIJJ+TTTzed8Pw5Hp/Tqt4tn3POOfOjjzoq//bbb7V1Tf032nADiTP77LPn1157bSlnXDuuEwYrvBWmGNQ5DRr4XtY/3YnUkrfEPlgnbIwE4IZkHzCk56fYMzwGq5m/WX/MhTiv2PLpJ5/k003LGzpd0AlfhBZeeGEhYyZBxghFFBlX/mWYXNgb+eKLjtScf505/y699BLZwfLOmdchLqzGFdC59b/zzjtyuoNL+xDmEPdl6NADQhc6Nn8/d/G2W7gQKWOnnINXHBSHbahj81tYA3H+p1sXCI3lf3Hki3E98rqk/zPPPLMdBxCtLDsmP8etiuRt5dx1rTyzsfHXRZoS8l9zzTWl+T9w4IBQhK4//ri2q9ZW+8f/Ih1HdNvWPzhgm4j56maNZ7Q/fzG6jxqxH7PHYDSe/5xzzy3tAw4YeiAC1UifM+Idd9xBYtEd/JPs/POaa68u9Z+3g848/lXvtXypGq9/rF6M6m0+asSe4TEYE5//8suvKNWV7qIOCXxOjzsuPyJVS5/TY7AnfvyIVC19To/B7rz8dw+/O10vdP6zwQYbIHGQnZdfE/gxe4xuTLn5b7/99lDfuP+/9NJLMbAg/Zg9Bm3KHT+PoGpEGJlKz/AYrOb4m8cfzIXq+YRZA8lsYMgYoYg8w2Pwuu78Gz9ufH7EEYfn3brp/unAg4bm9OsqDDzIlvyVV17NV15pJd2XBS6fy/LFVP0OG6+/6Plulq+y6qr5Rx99ZOuhEDQfO3ZsPmSPIXb8OeaYY4gy9dSfLqziEwYtwhfA25nrfWjbuLTWBAxL86CJ8B5vZ6L3NZ4XTGtNwLA4gybCe7ydid6HqI1La03AsDQPmgjv8XYmel/jecG01gQMizNoIrzH25nofYjauLTWBAxL86CJUHzNtXRBgC+G0X/8xeTnP/9Z48kc8/5/PpDPOOOMec9evXL+6wwnDxkDK2givMfbmep9LkGD0FoTMCxtgybCe7ydid7XYFJHs9YEDIs/aCK8x9uZ6H0ucAV89bVX89lmmy1cFNed+yzhjlUOk0byebzH2xvPf/fdd+crrrRiOFjwhcB48stzaegBQzsl//PPv5DzxYLDDz88jFvnL+cfTHes2sgIGJba+XF6j7c3Pv6K1eGzSHKfxXojRu9R/OADD1oN5YBL22SfPn3q0tTaLTIBw75nYvSegM1koDZHaw5rTcBwF8//wIMP2LrDCVOfRftMNeP388HWeQes/wcf5G0Cxyb9Y0OfPov5dCXckflLwRswTEz+zTbb3MbbjY/LNPY77rijgayRwvmH33WXnLD3Dn8kVW/omQjrJbm8nZnepy0bXT7wAG8H6fpabDHsw3wen8PbJy5/0prC+iymidF7AjaTgUaHnfCsNQHDwgiaCO/x9mQEFnf//faTunJtcZz997//bX4PLDIBw0LwebzH25nofT5yY9haEzAsTYMmwnu8nYne11hOz7LWBAwLIWgivMfbmeh9PnIZH/KrQ3S9yLaq5z9/PPNMJVKYNJLP4z3ezk29r5yzLYu1JmBYGgVNhPd4OxO9r61sZb+1JmBYaEET4T3ezsToe55+OVfcn+yzz77lpM5irQkYFn/QRHiPtzPR+1zgBqG1JmBY2gZNhPd4OxO9r8GkjmatCRgWf9BEeI+3M9H7XOAGobUmYFjaBk2E93g7E72vwaSOZq0JGBZ/0ER4j7cz0ftc4AahtSZgWNoGTYT3eDsTva/BpI5mrQkYFn/QRHiPtzPR+1zgBqG1JmBY2gZNhPd4OxO9r8GkjmatCRgWf9BEeI+3M9H7XOAC5Auo2++wve3/T/vD6cKw1gQYjxr1Xj7P3HMrT47fel4nx3I+boT/uP6C/R2f/6211loVF2rTjvBdsBKDvv8efPDBsfchf2SHnokI2PfYTAZi0wlA1pqA4VIe7wnYTAZazeourKa8UnMyeFv5ryzOCyiS/iKQhiatbClSSgwyeFszf6yY1sVVB1DklFv/IUPiXzxkw6a/plx/w/Uy8AlZ/3cNHy53SvJOof4vJ7GejFBCs5LB2yYkv2+n8coWyxNAiUEGb5vc84+jHfuKg8OFTbfD1jtW/UiKI6+p0ASMf/XVVqedebd81u6z5gMG9BcsBwr0gw4KBw5t7VEAaa2lRxOQHyuqV89eyQGLL6zWjC7YoyhVqB35tR8ds/3feP0NWkc+0Eodu+UrrriidFj76noMKLJj8vNYEJaTTu7zPxbm+x//yJdeSuYhn+jQ8+Cki3ULX2uMxdua9c/zG26gbSLsU3ChUbYJFErk97/+0Z24rsuW6FNUZHz37dh8VvpZl54k6wU0er5s/vXXX4ft0rUAFJmOny9GzDvfPPKH0kMOOaSY1nSE8AZva8/8ewnbAc1//aKQ5bPOOpul8MDnEjsZvK09+WN8HylaPSoxJuP8a6+zDt0Vg+OCSnrWZChYuv51jKXR+aELLjEm4/FrX12PAUV+f+P/0TI/sv0T9lP66A10sFR2M5QYZPC25vzP8y+++NLqi/nPFxusUFKw72/9az+a+f281QlettjED6DEIIO3Ned/rJjWxVUHUGRz/qEcxYpFvYxKbcjgba3Nv5bxLfmQPeO1k9/+7neFBDHShhtuZPswvvFsv333zS+5+JL8evq+R++yyXfeeWf5ZSKuv/jzPz6mnHHG6aFfMaZ1VEwt+aGHHWY56P0m1BfHLfQMaolBBm9rbfxGlAbfz/yzC6ul9L7nGK2TJb7zxRL4UhABKqQZ2GVGjdTMn1S0qJTqlRBQS8jghArpal6K9z3Xfyw9w2PeeeZxX+T0hP3DDz+QwZT6WzH+998fle+6665yKzzvGKbtNk3+1ttvxXk4GY8/uXKUjE2VRsbvBopGqezE8R9/PP2lKlx0YMn15//dZ+3uumUTkXoSsXRyIuYf/8z0uuuup2eJjZZQ55xzjuXHgWGoXFiNOTsyPwa4wgrLWw147CsOChdWLa2BDh0/8kepq91KbGkNtJn/wgsusLFgvW5c+5xOxIWc+PwhgonS+jIPA+SFDE6okMbjFmZU8kTMv8ktPz8LFNsf5j+vw9GjvwmF6drjd4MM6xaWuM7bs/4vvLC8TegzOxEXMuSDCunmXHvyYxRliQSQE5//TrozFds95PLL/6ScWizIC6m0C8+/IJ95lpktzqOPPmLtJ8X4P+HnRBcuAOp2MLpLb/+uyApttRiYqPEvueSStk65nnPMMXtIGeOLASrkFDT/rYY2MhtE0UU6fJDWSIGZDUxU/csdaMn5WZ/YTlny/r/nAgtOsvyFRKlqwzbQ4eNPE6pWXi0Tn59e2pbUefHFF6dkiAvZeflD5IJAXshmfqkAygFp66l5/jMpjr9W7mb9Cxtkx86//ffnX5DoLxTwTNWq+X/xxRfZvot/3fnqq6+GfpFw339efvnlfI011jAujiv8xyR6aWnFXatYwZB5vt2228oxiM+/br3ltk4d/+Sw/81ssseSJiZ646d5IjKTgZKvYCio0o5tV9DzmQ466CCLw8BzOzt/kiz0opk/ro7vq/78rCJ8CeKTQsXdcnrDaeycQ7zOWuguSd4JXHf9dfnee+1ND1qeI+wMdCez0UYbuhZhnvmVHbze9H2NHx2dEvM/+tij8mxc3vHS26ltJ887ZP+MVamzL3Yn1f/ZZ/9dOigMpWcDdnZ+fn6fHoR0/g0enD5jtbPzYw6xrCjzBI3/d/RXTxysZXukdbnddttailL8gqGgSjuxVTi8aUqc/3FwVp6Jrj9H8nWJkRWVfM4wZsy3pfnP8/LNt/wfmWJE15TOr6IWUeQClXwFQ0GVZmKrcHjT5Jz/97/nbUL/4MeSt4tt6QQyDg7VqV53U9L46e3ipe2/R4+58gfufyD/7rvvynOTBjd+/Lic7xLlZ3CuseaaSa0WWWTRCdr/cCX9vIiVVVTyFQys8kt7/PoCpjfhJuF808l5/vlO+z6LvWAoqJFS4fCmtsbPfrwgCceFZZdbtrSyfEz0W2wVDm9qK38SCwpLH6SsCrOr5h/73dh8/fXWd3cR6/nH/PPPl3wJ7qrjjytXUJUabYV5wg5vamv+/eQnP7F9Cs//GWaYgdpTBB+kEFOSw1bgsc+b2sqfxIJSDFKICZrk8cmCw5ua+WM1IkIFoyz5CoaCKg3FVuHwpmb9YzUiinUHKvkKhoLaZet/5bAr7brJEkssnn/55ZdxrChWkH1/8APZd/Xu3Tv/8AO9YY1dvlaYf7xPW5eOKTjPFRn+SH3//fcnbSS8D0KG/1H8uefuIe3npkcPvP3229qmwKvLX7RLDrcohSkYCqq0FFuFw5sw/gnNb3esah99yGKooo/8FSYY1UXLKk74snbzzTfLm7PnmGMOTV8i+8Ye19DFrDxbVjTzV+NDpJqAvrHHNfRmfqqAVV5xRdnq6s93GD788MP01rmjc357Kb744AKrbtTd8oXoYh3/5HKVlVfJl1tuuXzRRRfN55pzrvCiq/hFF+3lZzq0E7jllvBCBXexIKzJIIqd9brHNXQxK8+WFc3qxo/axT75xh5Pvvm/+urLfIkllpB1t/TSP8yHXTFMT/BlJ8w/z+c7VivG4mrX0ePn58jgwjy+/A09sOpRAMV+ed3jxuovjyHgCy48dvo/mB6NoMOsiKWOEBjC8zwO/goT5pC6aFnFaUf9+WVf2P5Qwz123wMdddIyk63j8lcOpGpsE7H/KefwCTye9PUv903L6wqfdEp7S8vQ7Wmnm5bWn3uDMc3Hp556qtC8OEave5ykqoyhbFpWNJvU23+hg9Snqk4xq2j3uscakZ/TjGMMto3d99hdnMqmZblZh+WvjB2MHZH/f/97P+eXEG22+WY2Tn6ZAbZ/jJ0vJvRcsGe++GKL54stvljOL5jsQSfPst9z+z8//371q19pEZNlsVhe9zg0qjCh4OqiZYEz3bS8HeAPtXqu8KRtBwVy0rjooz5UmGBUFy2rOB00/ypjB+Okyj/qvVHJ3ODabrzxxrEXXXz8yfQVxSqvE2QSjf/TTz7Nn3jsifz888/LV1hhBVsnsl8K5x+8/R1MN7H84x//yEe+NDL/nB/XkHyKnfW6x6FRhQkTXl20rOJ0ofm/2WbpvpHr/e677zbnv0yRrr/+k80HYyY5tcz/5viLFbA1r7NgEu7/3nnrnXwOu5kso0dV0WMTa/I/8cQTcozgF1uNeAS/HCqSvd6Sv/HGG/QIsdlK538X0K8Z40fb2NKFOOecc63tKquuko/jd90kH0cWu9c9Do0qTBiwumhZxZkExx+5sOqvympPXG8Eqs5L54k7DyuO95oxhEx9jz/+RN59lu5ywWGTTTYpkqMuzbQtL32UaAXde2ELjWqLSTETXyGLhIyZfIZoRS7vha2ZX1ZaUmNXGy5P8N1+e/i5oTsRlC9xrIdb25MvRWT3X/IMCx8+/Ws9X4wtb8jaD+QPGvdIIS8FxjXtPIFVtsTGATGlgfErW8gxhITXHAXPZJl/r732km2av2w/8/TT8pN8WWf8ZZb+y6MA4ugEdXb933uXLqyG/HyBk+cJ37GKT2flHziA71jV+cf54zNWkVllZ+W3LDJxdA6ZzYFG8u+xxx5JDXk8+9JPTpJtxW83Lr6Yp5L574dtuAPqz7EmZvvnZ6rKNmD7zG7yBVviJuumkEWmjSwmKn9X3P/tPmSP0vGHX+RT+khJtYYlHxka2f64nYRxAeJagbEmhzSs8XHcmvW/88676PjkeBr3Y/aHTptLum9v7fhb3P8+9tjj6HRtfiFIt7XvMgxrpfXAUs01Y5SG6pttdnwxCOOhMdx3332FqC6OQNV56TwBly0uWOxWUuOUUVd/YUl4zcHLcrayJY0eGnVS/sfocQ5Yt1j/++5XeIGPdNz3M+3hlDz+qjWSjq5z64/8++23f9wXyfaanv9iHeH8h89LfvnLX0pXm/X3c1Mma1yF4lJ/wSPb4gHys9t0/zdixIjYnpE01BipQ7Vm/X1tClUWl/oLnub+V6aP1ibMpKrp1Zx/MnF8ndIydYXtjw/v6637UzvH79evXxxkxfh/+1v9tdUmm24yQedf+/KLKsPxBceSo446KuSqqXHIz8/j70F3rep5Qrf86KOPlnZdof5agDh+vWNVdDUajJy4glpBTLcmiVJudC+dyM4626xW4LP+fJa1lhhttC9HDPsOONpoX3Jb0jCGEgGB62XSJFHKbUpuNvjDRIlQjlG0JE0Spcgs1IrdzfwoQiyF1KRcuzpLUvJEKbcouSWXLKbo/DfceGP4ktUtP+lEfkh1ThdWr4s7YroYx48CmNTjf4/vWKXc/v8BdAemfTqp/v3xKIBwIMKF1Uk9fhtnAO3Jv9OOO1n9cGA87PDDLHQSM1GMYqDkZoPO/Cl6/sswMBRTbNgGvo/xL7DAArb+sB3cTS/1k0+z/lQGXWFWClVtnVWBHXfakWrKd3DGi46H0YP6yzu4tDWHTsJb0mAvEdL2VVrSJFHK7JKbDe0Yv4+cxEwUz1Jcck/C/H47wH5s+F28HUgndFnqYHkMRUvSJFGKTM2k2YJPFLUYTAjlGEUL061JohSZHZv/6quvSeY/71tOOvFk15nOzY/oyZATBYwoS242NNe/FMhKISDWrC2U1DRRyi1Lbskliylu+zvllFNL8/+qv/4N06k8eLJ0pfFjgMmYEgWMKEtuNjS3PymQlUJArFlbKKlpopRbltySSxZT3PaH0SVjShQwoiy5ZeiymGLHf93117vz+265XlOLY/aIR7rmWmvK9Tf5A/cEjP+iiy6SdnLDkHyv7Zb/9oTfpvs0jqfl9GkF8y+V8P1jlplnzkeNej9wtYF1paZ9KWAwMN2aJEq5RcktDbW1QVXLjWssTLcmBDJTrIG3MA56KgrsGidY5NbnzrTkp512Wj7DjNPLxRb8hXvkyJFgxnxi4bhp7KAZX/WUY04AcqcPZ0aU1Kp0+FhjHPRUKNW8NU6wyJ1mCvyCVenwscY46KlQqnlrnGCRu5k/1EhqApxWRcsFH2uMg54KpZq3xgkWudNMgV+wKh0+1hgHPRVKNW+NEyxyd3b+UaNG5fPMTS8boy9Wq666qjzvltPLhVW+qEk7Yd7e9Rmrob+FXml34WONcdBToVTz1jgDS+5YDfllp05YHwWQVkXpIZYojNPY3ssU1VOONKXFAFxYDeNfcXB4eVVo9flnn+ZXXfW3/JRTTsl/feihOb9k6+GHH8q/+QYvFeK4aeygIYV4x437jh5zcUt+Ar0wzH+eePLJ/A9/+EP+61/9Or/wogvzcfQsRP0gSuPj33qrrfWASD8dwX77hBNOaHX81hdKl2aa8PyFMvjQhEM8hDVvAM38+WJLLGbrTf7iTNvArbfcjMq5ivkiMg56Koyv5honWOTuiut/663DNsHbd/jP20Tp00XHz+Oc0tY/v1wG8x/7Md53xk+Yy2JgHPRUGF3NNU6wyN0V5z8P79RT/2BzH9vAeeedh5Gr7MLjn9rX/9Q+/vMrXup58sn0hwX/ac7/Lrv/m9rnf3P8vKFrFSD8pi94Emz//GhEHH9ZvkzPtrdPRf6HRzxM7ze6rKLLYSzoOBjB/MBDD8XvEeGcd9iwKzSVb2rJCbj8/Bgaf/419MD4y9FyEA4YgqbCoqu5xgkWuSf1+Rfdseq6FvqH/kDWmOFuU3L7u+++O+/fv39YKfEOj969F5KXH4ylL/3fjaWXIIwfX4rXEfktKAdLAqoiy8RuLVJ6NDeMkrCslAzBlNhj+BpzJLSBkvaslAzN/FKSpC6xqDXmSGgDJe1ZKRnK9X/11dfyW+gZxCfRSdrhRxyR81vZX37Z7SzbyOndd951V87PM5ZPg/l9+6S73hEw38q//nrryY599tlnz19//XVjXc93rLoLD7PS4z8aGb8FINBWfs+twu++F+9Y1S/T3ehRAHjGqkaXZU2iGnNVqsQ2gB4FgC/vXAO5Y5WCffP16Hz//fdPnyMcasR8ftPik3RRFJ+6/K++8kp+5FFH5j179pQ8c/eYW5p8++23+W677SZ19/lXX311LWYSUBVZJnZk1yab0uNa8MxErM/TTvtDJLWCkrCslAzBlNhjwBpzJLSBkvaslAxdP/+yyy7r5oMef/mPHiiGlCSpSyxqjTkS2kBJe1ZKhimz/vwIIzlJpG0W2xn/4bj4KQ23ZJgyx18cZ51eGm7JMOnGv9yPeTuI55+8L+PtQLqU9CuOpsYcCW2gpD0rJcOkG7/k7sD8B9IXI64h5j/jv1z5l6QipXQlw5Q7/mSgNUppuCVDc/xSkqQusZg15khoAyXtWSkZ2l//q666qjT/+dzOf0rpSob25/d56nApXcnQzC8lSeoSq1ljjoQ2UNKelZKhWX8pSVKXWNQacyS0gZL2rJQMU3b9+b00/vjbp0+fpCKl4ZYMjY//LrqWgO9/IukGjYfoYmtrH59uzDej8xmmn9FizDzzTHTX6ihdJZ7oAtaYHaN1mLRnpWRofPytZ4pefRQA60mySBDED3DgD4nWaEpKl2+/83a+/PLhYeq0EpKVQidhrPtJcf7556cBWJuI/LG/6TXrUpJILLma+UNxSLRWpnLhPL9Z/1ZrF5xvv/V2vpW7E8pvG/yT0/U32CB/9dVXq0pdaeOwP/zh0vncPXq0vu5a61wb29+f//xn2o71y+pll12W9OPa6641H1+E0DtWE4oqE5G/IpqZOOx7eMGG2//EC6uB2gn5+cKq7u+0NoNWHCwPAP/xj38c7OX9H/aPM844Y/4QHTDl4+r/xptv5meccUY+aNDgJAbXn9+2OHbs2HzTzTYt+SQujZ/f0l35aWP864UL5+gf5yvdmVQROIZtbv+xFq0Wqux067/VGOWWts0PHjTILgJiHf71L3+NLVoL3AH5+UjQWopWnZNp/nSb0G28uE3EMXe98cfJU48mt/HzH7cw/yGv+ittB7Gj5cFMpvOv3NGyJQ6rc+bfXnvSM9XlPD5erL71tvCSUOpOZ+cvjzi1NPOjHp2z/hG9Tnb1+t9+++2l+b/HnkOsHF19/DbQGtAcPwrT3P7iXEBNnGzN2Tz+aqGoRlVl2mabbWgfFI+/v/jlL6ywkd8x8++ss89O9nc96LrCmDFjLF8RVOVfeeWVQwz9/nsMP2s1EoshyBecJFqjlRt6fseMv9H8FY8CCN2TwdSHqfdQe3aG//zMMV7p/gIR7vLAia1NCvrif8/f/64d6KD8YTQFEXpPIqCCn9R25ue798aPGy//W8bRyqQ7cMePhxyvess4silnXPCL3qJ+aUNvTBs/PvCIo3E0Fne2tt9wMqGWFBwk6insqfW24gnNWm0e4pKozdDO+vPwJegUmP+Zfz2TzzYbXq6R/hHCbz/dZ5klP/2M02UOyXiLC4yd5AMP3C/b3yq0M4ufUHUSAUUXUIP1/88LL+QzzTST7Cj55+Ly4aDh/3Xhwir6nzwKoAPyo7uJdPnZ/h7dsYr8ss+h/YxcWO3k/AP7DwwHEN3/Lbnkknnfvn3tAtcSiy+Rb77FFvnAgYPyaflt1eHCL/q63nrrJsNiZZ555knHEv44xePiO1YPOeSQkJPnDw62cf/7/HPPURQukIqAVPfLwvpfc401LC76x8/bqfwU6l/mTHj+YozafjOxmT/WIBRu9dVWs/WHeXbpJZdiJhTLS+1RxLKLLc365/kabpvAuYxsEyhdbZGCg0Q9hT213lY8oVmrzUNcErUZuuj6X423g7CfxTq79NJLqWiFTxcdv46y49b/jjvyc4bTc5X7/3m/Tqz6yWXdqKewp9bbiic0a7V5iEuiNkNz/TfrXz87zPPggw+W5v/2223fnP/N7a+1nUtz/8cVaO5/bT+iE8ItGzz+jKfrRHPMMUeyD7rxhhs7bf8zZMiQ5PvnAQe4d5Wg+9j2aw6uvznyiKS//fsPQMsoGxx/bOBQG/ltw+zE+WePApBuVRQiNQUNRkg3JoXq4OWY0aPzTz79NP+U/t92m/vrHj2rjy8mvPnWG+Jj/6effFp6c3uaImgwQraSn10lWmJwioMImZqCBiMkyCSvuOKK5CezuAihJ5/xQkdG4xdb4SQ/nqTSxZAKH9+1eOwxx2rGivzeATek+miZGJziILipKWgwQoJsUh1wQxbcQXVeB8FNTUGDERJkk+qAG7LgDqrzOghuagoajJAgm1QH3JAFd1DV+9lnn+WLL0bPfwtfUhZcsGe+1VZb5nv/7Gd5vPOR7+7GHMrylVZcqeYORI05hn4S/qNllpGYxx57rKXvqPX/7Zhv85/85CcSf8EFF8w/+uijZEzci/RRAN30jtWkIE5xEJ1NTUGDERJkk+qAOz4KALWjRwHYs13AosYOIlRqChqMkCCbVEf/wqMAcKFzwQV65rfedhtdu2KecvlRKbPNOputf/ljFG3/z/773xaVuf965l/53cPvzvknmH4uYN6wnH/+efOrr746P+G3J+T8gHD4Zpttdv3rYtJvpziIpDCtuNJKEsfnrLwgIQ21FdpCImZaZ+d1ENzUFDQYIUE2qQ64IQvuoDqvg+CmpqDBCAmySXXADVlwB9V5HQQ3NQUNRkiQTaoDbpZrrrkmrb84//n4cwE9XgTzT5qigcVJvJELHqTjK1QH3JBGSwxOcRDc1BQ0GCFBNqkOuCEL7qA6r4PgpqagBcH7X2xbkHrHvhLQFhIxm/PfKkHAVcdBMFJT0GCEBNmkOuCGZPca2A7c+ZduB+T0xBArNQUNRsjAjUIdcEOaPzE4xUFwU1PQYIQE2aQ64IYsuIPqvA6Cm5qCBiPJLegPg5j7kP/619PS3NEQTiUcCYuUxF5BBQE8SKW6pTrghjRCYnCKg+CmpqDBCAmySXXADVlwB9V5HQQ3NQUNRkiQTaoDbsiCO6jO6yC4qSloMEKCbFIdcEMW3EF1XgfBTU1BgxESZJPqgBuy4A6q8zoIbmoKGowkn3322dL832yzTaS5oyGcSjgSFimJvYIKAniQSnVLdcANaYTE4BQHwU1NQYMREmST6oAbsuAOqvM6CG5qChqMkCCbVAfckAV3UJ3XQXBTU9BghATZpDrghiy4g+q8DoKbmoIGIyTIJtUBN2TBHVTndRDc1BQ0GCFBNqkOuCEL7qA6r4PgpqagwQgJskl1wA1ZcAfVeR0ENzUFDUZIkE2qA27IgjuozusguKkpaDCSfOKJJ0r7n/fee0eaOxrCqYQjYZGS2MvUr7/+Kp+dvkPiOM/y38n3U22DQAgHCe9ddw6nP26H7yL0HXeaaabRawdFYqlLgQAeJAKbVAfckAV3UJ3XQXBTU9BghATZZIt7eRVIkEYqA6XUE8setZxwwvHJShk4cGBcl2gEWU6b8y3Eg+khvfx/RfpZ7YorrZivNHiloLNN/4uffOxXG3GDr6gPpvY33XQT5kKUFflh0i5Wd5QvrMrE44uiFRdG/aRUjC+7Zb5elI13m6Ht9jvsQF2pzs99LHuKlqgbAoDEYCukUuqJZU/REnVDAJAVeWFSSj2x7Claom4IABLJKqRS6ollT9ESdaD999tf5ss03abJ+QUoo+kPEv7DzzFZeumlk+2H51f3mbvnZ511VnL3Ksf8lF6MtNnmmwl/mmm6yQlgjIesbq7ABBnJJaSUlvxXv/6VXdzjZ6/g40PYy6vCBePkjlVqYFwASASrkEqpJxY97733blo36gseBWBcAMiKvDAppZ4IT/LyqjD+5ZZbLv/gg/8hVDJ+fl4qtnGWvP1fdNHFxgVA/uVXWN7qj3b818uXXn4F1PwFuqP45z//Wb7HHnvkI+iB5fpBDxuvPz8fGzkgh105zPJ4EKPDWrRE3RAAJJpWSKXUE8ueoiXqhgAgK/LCpJR6YtlTtETdEAAkklVIpdQTy56W/Kc//Wlp/fEjPIwLAFmRFyal1BPLnqIl6oYAIJGsQiqlnlj2FC1RNwQAWZEXJqW05P0H8DPj3fGbttdhw4bFmqJByRKTGAKAtLZloJR6YtlTtETdEABkOa1ZlFJPLHuKlqgbAoC0bGWglHpi2RMtP12nuB10y3k7sFUUqeXEwaKUemLZU7RE3RAAZG12dLWeWPYULVE3BADZYP71112/tF95cWTxcTPFoFE3BADZYP4qWjlE0RJ1QwCQVYGDTSn1xLKnaIm6IQDIZv7aCmiJ6gtV9hQtUTcEAFmbPd3+XqFzLZwPQa69zjqF1sWgUTcEAFmI4FWl1BPLnqIl6oYAIH3CAlZKPbHsKVqibggAspDTq0qpJ5Y9RUvUDQFA+oQFrJR6YtlTtETdEABkIadXlVJPLHuKlqgbAoD0CQtYKfXEsqdoibohAMhCTq8qpZ5Y9hQtUTcEAOkTFrBS6ollT9ESdUMAkIWcXlWKLk879bRk/zPddNPl4+gX0umnXjcPAGQaQLRL6TF/2Mex3HOvPStY2D96Vxr0zTffcHH0/Pnqv12tDVKqD2JYKfXEsqdoibohAEjLVgZKqSeyJz5j1dqjAUuHHQQVJtWhQYIVJb88hVcI7sQ84ojDo9MQ2rN0mOBf6VlYv//d7/N16Sey8U5QWjGFC5h8BZx/nsz/p59+ercS6eKly49JcvEl/uKFy1nIL12E2/VOu66OK664vJQPeSAxfui+/3Fc2lfjUL+Bd9iRL6zG6vj8Rav64tK6L8C0SPBj9hhUSGrhoNNSqwss0LwCTHM02Fg67CDIMKkODRKsVJpXgGmOBBtLhx0EGSbVoUGClUrzClDt62++ttv5zz/v3NCAfWCTpH98sfWA/Yfm3ehCaZwnOv8XX3yx/Ljjj6e70M7P+fb83r1723z55S9/aZ1ARA1tmvmTnIX8QgpN/nHffeGvTt3y/fbfL+2ri1a8sDpLd3p5FX8kTvvzWwgJ5rVyTH4UALYdlrz9DT2AX15V5kYb++An6SBSwqQ6NMg8udOY8y600EL5Rx+Hu3qFFrkc4+WXX3brVbd3vdOYeKBCEp8fIyB3Ibr93/nnF97IrJ2zpTUXYJr500Twt+Q//pF7Lizl4/n3V3pxQ/xEbrSVEVg6HtMcETaWDjsIMkyqQ4MEK5XmFWCaI8HG0mEHQYZJdWiQYKXSvAJMcyTYWDrsIMgwqQ4NEiyV668fL4Dg+FP98jG0Z+mwg4gMk+rQIMFKpXkFmOZIsLF02EGQYVIdGiRYqTSvANMcCTaWDjsI8o/kWcnp+cdVV7nn1oLoJMJoaNMqGOyDn6SDIMOkOjRIsFJpXgGmORJsLB12EGSYVIcGCVYqzSvANEeCjaXDDoIMk+rQIMFK5Xq0HWD+45hw2un+hWNoz9JhBxERJtWhQYKVSvMKMM2RYGPpsIMgw6Q6NEiwUmleAaY5EmwsHXYQZDatumr50QqvvfYaKCWJMBraNMeDjaXDDoIMk+rQIMFKpXkFmOZIsLF02EGQYVIdGiRYqTSvANMcCTaWDjsIMkyqQ4MEK5XmFWCaI8HG0mEHQYZJdWiQYKXSvAJMcyTYWDrsIMgwqQ4NEqxUmleAaY4EG0uHHQSZTW+8/kbp++dK9Oueug/CaGjTHB02lg47CDJMqkODBCuV5hVgmiPBxtJhB0GGSXVokGCl0rwCTHMk2Fg67CDIMKkODRKsVJpXgGmOBBtLhx0EGSbVoUGClUrzCjDNkWBj6bCDIMOkOjRIsFJpXgGmORJsLB12EGSYVIcGCVYqzSvANEeCjaXDDoIMk+rQIMFKpXkFmOZIsLF02EGQYVIdGiRYqTSvANMcCTaWDjsIMpu25vexuO9/Cy/cG+5KiTAa2jTHhY1lxC10sdZ+OUv5FlxgAfklemwYudFWRsz67rux9P2RzptxTYvi8S8w9ePjOOwgosJUbgdGWVobAaY5ImwsHXYQZJhUh6ayG7fVMdJX5VY+XIUyA1bINAAlpDt+uVWefT16dNZjzrmysWO/E52j3Xvfvdlaa6wZfqFYju6jFTNsv/0O2dVX/81TsmWW+VF28803ZvSTaopJayvkHz/uu+yLr7/K3n/v/ezFF0dmdIE2ows+OiDi0E+XsuWWWz6JVVSK+dUPK2SWffzRR9krr7yiVx7ojmAeP8/7FhqeXA5jjXJy/+Ru6BaC0/AF7mkoJNtpydOOsfvEDHk2zzzzZksssYTyuYFwy/XD+NnPW58xKBhfGRFdAsfoLmUCqxmwQiZNrP7N/K3X/4phl2W77TYk23LLLbLrr78+LWLQfIXvu+++bO+9f5a99tqrKZfnFM8t+vD65WnRp0+f7Jmnn8pmp22vo9Y/PbYjW3bZ5bJ33nk7++EPf5g99dST2cwzzyJ5/YLn3w033JBts/XW1p/u3WfNvvryy0k6/94f9V62YK9eUg+d9Xl2wNADsz+d+Ue1yT7equOHYNjX34y23VV76UCUPfnkk1J3Xh+DBw3OHnnkEclZtf2NGzcum3GmGTN61DKl0JhDhuyRXXzxxZYp5s6ynXbakfZlV5lpuumnzz75+KOMfvIvto7c/vv+4AfZSyNHWi6u47XXXp1tvfU2ZKsef0fmr8lAucNEj7Pb+tjMH4+/G2+6aXb7rbcl9fr9ib/LfnP4b6iE1dW1QhKoZsAK6VtQG9r+cfzvisefH/ygbzZy5Etx0LT/ve6aazJ6+aDYuvr446yYctb/Jptsmt122620fmi/IbuOPDuRtoMjjjgyrscKVDNCjVO3dXTx+c/rn56PRsf/p7Ri4fzjrbfeyhbq3bvLb/9T4vyXFUWTuer8o2Lam6k5/3V3YQUJhaQXo2a9+NySP2H+L7/88tlTTz/dnP9Twf4vHER45csU8Ivm8b9rn/9NDvv/1VZbPaPnPOu0o/3PwP79s8cef1z0jpx/F19ySbbXnnva9L7uuuuzrbbagvT2ff+ad/75s48++pBKyHMky3bYYafsL3+50uIXwZR2/KHrMFx+t1swxUBxjCUdTA7ERYI0Itnv/vvd2frrrSenoGynZ/9l9OzVjN5+nZ6WIlhqtVAA222/fXbt1VcTixLyF0P6d8YZZ2YHHTS0Mn9xv3fKySdnhx9xhOT/gi70zEAXJeTTYH70gyWaYNyQxgHBDClI3KYYSMkVGpjIC2lUEMyQArife+657OGHHtZ1aKOKm46t3NBcNym6BEz1l1VAZ2t8sZjzT8PzIGx0fEFZONSOc/FH2ypGftFIkTk0GeafeZaZs9123U077ZboP+oOaRQQzJCCB2jHyPOR3vae9V2qrxbHjT9lq/b1119nRx15ZHbW2edk41vGhcL6qmbZrrvumtFjAjJ6LkqIWRUpzl/xWl8NlBptT9sePcNTtpkRjzyardBvBV2f1KS4/fOF4m3o4pteWqbtvnv37KuvvkpiJplMMZBwqxQwUXdIcEfRH1R69lowmXMHDh2a/fHMM4WC9qmSWBGqUoKJvJD0qJOMnoFDefnPJHm2Il1YHfEoXVgtfNCezfPPN3/24YcfyNpnfcstt6y92L7zTnQw4gurYf/Xo8c82ccff9jQ/o9j4+PzS2KeRhEIrU+fPtkbb74RN2Cy3kgXzemuWWNi3JDSkBdJArMaOP+CC4jDJPqQmFy3f5vc2tMwnzp///fTddbJFpc/pIXEBYHyou6QRiPC5ltsnt1y882yKtjOq/iYY4/NjjvuuHT1IFhqtVBVAE2QF9K4IJghBYnbFAMpuUIDE3khjQqCGVKQuE0xkJKdthhtE6+/8aZtf1zV62+4Ltti8y1lqhi1jVCJOyhXXjmM9pNfSwjbq2PnGgKrvfPn3+SSf9fddpPzRqtrAKgf1juk8UAgw+abb05/fL85bLvK4O3geNoO5GNcA2pvZQkm8kJaExDMkILEbYqBlFyhgYm8kEYFwQwpSNymGEjJBW3ppZfJ/vvif3QfH6rKF5sWXHCByGwjVOI2Jaf1dEs2atSouK6m8vn/fR1/Jpftv6PH333WWbOdd945PdK5+adHyTiNq9AHH3yYzb/AfMn8X4rO4UeOfDHSLWY0eZS4TTHgqZUYTGz3kEYGwQwpSNymGEjJFRqYyAtpVBDMkILEbYqBlFyhgYm8kEYFwQwpSNymGEjJFRqYyAtpVBDMkILEbYqBlFyhgYm8kEYFwQwpSNymGEjJFRqYyAtpVBDMkILEbYqBlFyhgYm8kEYFwQwpSNymGEjJFRqYyAtpVBDMkILEbYqBlFzQisffVVdbJbv/nw9M9Pmn7tB4z59ln37ySbZU374Z/dpSzIcffnh20kknWU/QU4wbskQwQ0bXOZbKXnr5ZbOsu+662fDhw11aRDVKLQATeSGtAQhmSEHiNsVASq7QwERelvR9Nv3ojay4rVV9iU1euJK2aV3T1oceeqik45T8f53Sc2gqcoXAVfmX6rsUX7eLMQmPfPHFiq7EsQiiBcs333yT/2ib91uhX9JG2bqEI7G1c/wcS+LQIo2OLCqTXMGV2Dox/x/P/GOsp1yt4SumXGO+ciN/5A7+YC/Un+uZ8Lw/+LD+Ex58eKCx6Jxz8so/L72RXd+Wna6z1rW4tgXRIlrKLdWXMhJbYf2/++67+emnn54P2XNIvukmm+T7779/ftH//V/+9NP6AgmfTeLQIo2e9iHJFVzedsXll9t6+f2Jv08bV2jXXXdtmDM6N7rP0n2i8ren/sVHAfDcwzNWi132Y4UvsRXqD06VLD5jddDgwVJ8jVfVIs970eMCdBvR+b8lvcCsLj/dsRprS9vaPHP3qAgaswmiRbSU6epLGaz1WqiX7C+tb5Tv5pvp2dRtfmIsQbSIFm2sMWl+TObbP/Zvtl/y+zfC8EMmxyfs45w0Hmw14x925ZVUqFC1CZh/Wl1tV/WSGfrDTGntKTtdQ4mtnfk5kcShRRo97UKSK7gS22SUf6He2FZ57ur6l+e1J0OKoxVEi2hJiKKoryXv1YtjT17HvzhfQ78m0fzH+ccoeqRLe/b/qDLXdovN48uWMJ4j3XaA+qMNy8Q2Gc0/38d6rL23cZAaLeVWyViDO7EVxr/IIovoMcjt/z788EMXOGYTRItocbSKXCutvErz/FO2MT4XiMcX2y9M4u0P20tXyd+bzrWKH52b6QxNbIX5/8knn5Tm/8L0GK74ibEE0SJaIgtIfSkjsRXyo129jLEE0SJayq3UlzISWzN/uWitWmItBdEiWsoN1ZcyEluz/uWitWqJtRREi2gpN1Rfykhsk1n955133mT/s9566xUGFcciiBbRUqCSqr6UsfseQ+z4s+0220zgKViMJYgWLH9Mj9GKx5MsX2GFFaQzytYlepfYJrP6o49FWbiw6gZk0IAbuIbBGIWR0gp5WvJ+/frZlw8+MJ98yskFDqsuiEEDwmeNLybRH691QsmX0m75Yn0WE3/1Io3BnG9GfyP9+Rm9dT1+HM+gAaF5bULGH3O0hlx0gwY6Pf+ZfzzD1VTr6ye/XQDhk7xC/cWX2LB+9KQQfo1X8cUsOXFEW38yGW1ykpnkCjkSG/gdl38eurDq10ZXW/9tbX+vv/56Ptvs+lbAVVZZmZ6VMi7OSV8YN8XpJwNxTtH6mRXPWHWcCF0QgwZirtCg0frby6soP+bf0AP5GavFj8tl0ICQvdZWfn0mTZx/g+mFe61/WuQ5rH47o8dDJE18/h12wIVVzTH3PHMn3Kj4VtFaRo5nUEGfRfvE9Ri2/+uvv0FCCMP45ajJvKpwY7xV+5oq2/e1/aOfkzr/lXJhVQvny9zW/Iulbsk324xeZOfmP+Pjjj8uUgS56AYNFBl2giWMlFYft+BJVRfEoIHJLv+itk2EbZxqev0Nuk3Ujit1FLQ41l49e8n21pz/OI5nOf+BLFaI9ipBEeEdhar6/c/mvB3ggjWtL96W6a7t0MIFMWhAOF5rT/5S1xKDi27QwGSZf+GFF9Z6Uh3xh6SPPgrPEbexpWMwcwk4HkF+WW1z/sf5/30df3xe4K5w/s9/GEs/6fxTn7ORwWu8/euF1bj/5/rws/TTj2+VelLN8QwaEKrXmvsfrZ7UxBcmLSpprTod2/EMGhCe15r119JJTXxhXEUdo2QtG1wQgwaE7rVm/fPwDqG4/9mEbq4qf3zVyt5ocbwAL6B3dmCfzy9+/2ZMfKn2xNSfX/yK8wWOv+yyy1I3yvkTW8po1/lfHGsV6rj88igAGph9uIp0MiMfj4PJCfW2zlE630o897zzZlQJic1tHqefyA7o1z8mC5F9PI9d4uyySy/N9hgyxJuyfffbNzv7rLMTm1c0Voz4HT3P8FcHHZxtvOkmGb0x2aiRwWeKpe4ZD97WOZGuvMgWFFUjepPHRjCg3tY5Rg5jiWxBURXiW2++lb340ki9jZx8fFbLmyw/J09ubyZFNmFi80+buTq8lKfD8qRhpeLDP4VuISez9WfRSqVHy0oOMlpbiRr0yS3/DDNMn9EL2MIIpacyZO5uW58iW3Q1Jk3Z9MknH2fDrhiWPf/CC9l///Mf+Ulonz59snXX+2m2y047Z3Rxk1jFiEmYRDnyN0dm004/XXbC8ceRXXvbWn6Mp9i9nXbeKfvrX/4qEdZeZ+1sMXqWMW5/Z6PgQqPXX38tu+fv90hvuVMce++f/Ux0rP+11lor22677did1LMQSvxxod7WOcp+n35OuGDPnqJwfm5zAD0K4E9/pEcBYLBK7dD88VEAmnPw4EH0jNVHJZP0u6Lz/Gy6d999RxsQs/5RADk9Y3VneV60BKRx9OgxtzzjOQwlEZoqJqzLHxnpuuBn6b7IP28jAmp4DT1PcutttimWMMkLRePG6IKCes+9ND/oedT8EVNIMLlt/3I9RrtJ/dTO87Kz938//vGy2QILzC/1iYuYvzCFI8WhjTbeOLvj9ttt3bHr5BNPyg474nDHSte5ZkjcTpmw/EW26BUJvMljlzhA9bbOia2KbNErGnuTxzESUE7Pl16antkefvIZ5uw1V1+TbbMtP3c4/WisGFFQVI0MEz83a/S3Y5rHXyoIzj9WX2M1evzMDKFWWinUywpYA8DeZONNsttoO+AP9mP8szb+eRt/fDyPxZksELF0CElYUIps0SsSeJPHiBOlelvn1LOlXUVjb/I4RgJSrz17G8Uk9/vvv5/NT89Q8x9lx4iCompUb3qCnk/+GT0uDOv/+9r/NvN3zfP/WWacKVtltVVt7jHw88/jhCSKeuVRAPPTowDc/F9yySWzl15yz962uDGioKhaeG/y2AgG1Ns6x8jubIU7GsZZ0dibPI6RgNTbOgdc1DWyBUXViN7ksREMqLd1jpGb46dS6Lf15vrnWSHzpmLyeJPHcSYBqbd1DridN//nmHPO7IvPP7f9z/rrrZ/dededMXFAxd6KXtF5b/rHP/+ZrUc/0acbqDK6wzT75z//Qd8xe9RELKVMDMX8P1522ewFevQk23nfudSSS9HjU0aG7VSb+r4kwUQpRiwzvKXIFr0igTd57GMpVm8tB9dt3bVamIJsCdeRHcOggVIbb6DnLFL+cFWd5tjc9JPV8eP1bjfw6iLxFWv1Rca222xL37k1nv7ltFt+++23IxTJyGUjR/jXv57Nx4wZ43xFDjOrPuX8MXwaI7auszMDPkhtlWoxUtX4LUQEvoHLUTCLikyQykk13645fq2Nq5BBA75ghOvsTIMPUptCu/DCC+kn3XPz9ur+u22H7kq8chj/NJg/aKVaXEY7PYs1n3W2WfOFF14kuOGDVHOqxUh+/m200Ubhr0z81Nx0+4v9DX2Vo3gFpnHFux3UTy+dqx2Jz2+9ss4aMFfVaPRRAKEvIf/QoQckbeoiTUz+AQMG6joMtRjMjwKwkaYZofHdDnScsXXPd6yqD4wYYscddwi11LHNTfNGP44bLFHAB9lWC93+l1tuqbqL3QAAQABJREFU2WQsvP7r34Cexo65GcEH2Vj+2M6FsFgaIy7T2NHOCD5I9aaab9E19n/rr7+BzSlsf6effoYNtKuP3wbageuftwmcf2D/d9VVf6NU9dWMvpSTarG3zFefYxg04Bs087dS//XXX690/OHtoK6Szfq3Pv9WWGF52q/EYyvjt99+qzAfvYpKQ6ov1VK++hzDoAHfgHCdnWnwQWrTVFMbPOpzDIMGfAPCdXamwQepTVNNbfCozzEMGvANCNfZmQYfpDZNNbXBoz7HMGjANyBcZ2cafJDaNNXUBo/6HMOgAd+AcJ2dafBBatNUUxs86nMMgy10F/27pfm/7LI/9gEKGI0hkaVAM7X17c9oCUhjJ64OHn8aG1ozPypRlqgNpDJSzbdqrn+tjauQQQO+YITr7EyDD1Kbppra4FGfYxg04BsQrrMzDT5IbZpqaoNHfY5hsCVfYonFk/3Pmmuu5XL4OMBoDIks8KukF7DTdTq9DrHkUn3z998fFQnW1ED0Caqzs1N9vXr1dP3ulvcfMKAQA+qUOf/pjlW+VUj/iiFXYklT1YCYqxYpQ19PY5Gcc79998nOOfc8iquXDPQurOtCSEdki6kGktTjx4/P6LkSGb+ZHJ+ZZppJ7vKbid5MXpX/2muuzrbdbvvs9jvuyDZYfwPpBtq6hGqytAYitYBSho6f+38X/cVgHF3lR2f4ukrOl0vojU55i5ZB8nJn9VZQ5XJA5vF5Kv9nTB9dSgvR+S2U9EyKWCqx1tdfWkpcQhwaAUO7mIEM3AfxGxBW1SJlNPPr/bihUklxSGmg/n/4w6nZoYcepgF4HXCMmg9d5Mz4pT8L4Y2kPMdoxdmqDflPpxdi/fqQQ+iO0O2zq/521USt/43prjf6A0ZNj2Aud9wsYftXJnUwOJZZZpns+eefN3NHz7/3R71Hd6zSm1tdfrqwmp0pL68KhUL3TTUAT0mmjHL9Bw7Cy6t0VQ5eccVsxMMjWt3+ei/UO3uH71gNtam/YzXLdqSXV131179av3rM7e5YTTpHSgPzTwJZOwNixt23lozAFcOGZbvQyx/0Ux5/MhknMr/PC5z2sJm/avvHuvnpOutm99x3r9un5NnZ55yd7bvPPkThyRY+VlQD8JRkypj66j+AXk73JP3yxn+GDbuSXoiyk9bZykqVas5/mWbf9/nHOrQd3Et3yMsKCvvYs8+m7WDffXU12qQ24FdvglPG1Df/efyrrLxyNmLECFeXbhn/SmXRRRZ1uxViNuf/ZDH/v+/tr6vlf/uttzJ6znAy/+WXSSPoJaXN/X+oS3P7b+7/aGOgf11t+7dNvOb7t24AnTf/Vxw8OHvsscds/zN48Ir0q0g6HlPK9u5/3qPvy/wSrNdefT1bdNFFM/71FN3wYzkAkhQTOP5Z6EXgo8eM0X5SwA023IB+UXeH63caHTm9TBmT2/kXLgzblXQ14DoxX3itvf5c4yia6Y1ifFrFdRB57nnnVsRMW8WsEXHPHh7xsMRBLJZ8N47/+EhjRo/J6Y3K+cwzzZR/RXfv4Yq552jb1BKzRuRzCE6biIl+Hmv9477R7LZx+z7DrhytTRmHOwEKd//tsMMOVV227hW7BV2lX1oTAmAhNPQJGz+3RkuNFHWfuciJrKkz//33/zOfbrrpZK5MO+20+e577J5feull+U033ZgfefRR+bzzzqfzSuaCzpe55pgzv+KKK1Bmk6jtyy+/nM9CL4vieXXJxReH9eLXgjUhgFZqi2s9onjHatyWdc6mczydx6kP+wE//+nCakP5fW8Fp102d9H8Lj2bD3khDxh6oPEVpK3iqCMqNCiWzNyI5J+xynnl5VXJWrAmBLQV37Ea69ctj3eseq7inQrPWOU7nfmD/MqKutr9EoxyqzhqRaussmpp/l1O87Pq0xn5q/KUBhpIzfxptbgea625hqw/zH/e/v6PXnIXP2nVius/8hxKm5ijaIau0i+tCQGw1DYl5F+VX65TOMZfdtllhZHEkfmRp6PlMaeWKWH8hS7riiuNJI5schg/tgN//NHtoFl/W4GyDlGPOBO9XzBR+CW0qCX2LSNfeimhxkhsVg22SEwtMWtEkRtQ2sTcRTN0lX5pTQiApbaYNSLPFpw2MXfRDF2lX1oTAmCpLWaNyLMFp03MXTRDV+mX1oQAWGqLWSPybMFpE3MXzdBV+qU1IQCW2mLWiDxbcNrE3EUzdJV+aU0IgKW2mDUizxZMTfjOruL8X4OOtf6DyD4zbJGXWmLWiCI3oLSJuYtm6Cr90poQAEttMWtEni04bWLuohm6Sr+0JgTAUlvMGpFnC06bmLtohq7SL60JAbDUFrNG5NmC0ybmLpqhq/RLa0IALLXFrBF5tuC0ibmLZugq/dKaEABLbTFrRJ4tOG1i7qIZukq/tCYEwFJbzBqRZwtOm5i7aIau0i+tCQGw1BazRuTZgtMm5i6aoav0S2tCACy1xawRebZgaiLfyd01pj59+hQixcg+c5qNo6mFn4/O38f5vLYnPef/lVdeLsWzfpSDoFtGYQCaypZ8ND2nFftMfNelmxEKbWIroITgAxccRT50lX7pG4Kltlj1iDxbcNrE3GymvyDQwAMhCeEaKXRL55OyxQAWXEFL/s7b79CNNOECoXwJyXJ6lkLCi81d4BJUw1FHH60rxV1g+tOZZyJdEvezzz7N6ZkTkp8nYN1nQvJLL1zfiuPnC13FSVMcPyZTKmON6MY6mdg4UWWexztsv6MbCnUmDsDZGbKvYKpQY3NHLkE1yNL5iuNPwxMx4aZeaM38eT5w4CBZ573pjaLPPffvpG5cwq++/CLfa6+9hCPzy81/fiGHbFOu1sOHD8/nm0/fGDgPvTnw448/RrlLstH6t4xvyb8bNz4f9x39p0d5jBvH/78jnf4zppdZqY38wUd/hUq2/+708ir1gTuOXoI1XvrUGfsfnn/6KADdprDNDR0aX17V6Pi5k1JiV+fW5v8AfkA37/PC/k8fBVAqv9t89eVVfvuPF1Y1qc+/4454eZWObe4eeBQAchA76SvsqWxk/GuvtWaYe5yL9lU0/y666CIKxDlCklIu9qW5qrTY3JFLUA2ydL5mfipGLGChvOxT06qrhgvj4RjM8/Lyyy8XZ2zuCluCapCl803N9adnQ7ttQrdB3SawGqhQSa1gT2Wz/lqPztr/+2pXbQeXXRa2A7+y3HpT6JbONzXPf67rJptsXNoGnn2Wzl/kQ4VKahXMBdGc/6iWK1YJqkGWzje1z7/ve/x8ro5zSsiNNto4zHBaUcm6Kkx8sAJnUuz/qnrQ3P60Ks36u8lagmqQpfN939vf1J5///33S/Y/9Ottt4nTikrWlXM5iO3/8y8+z/v37y+PSpqXXtRN73cRloZwyyQmKRTg7bffzu+9514XlSH7CiZS36GXz2NfCXn00ccQ1ZFLUA2ydD7NEQyJvT5/sUcYf0fmlwurxUSiV3XSiKELJQ4TXPfIz1/eUDz+Mk4/dRUOM7+jCzKjRr3HsPwpxVaD3gWmX2LkYiPFHLLnkPz4E47PjzrqqPzggw7Md91tt/yn9Jd0etGB5T7//As0h4QpBW84P4LUhbnm6r/lc/Xokc9N/3vMRf9Z9phLJT1blm1zQxdf4JBP2ohtbuJxG5KkczyOobJHvvfee+kUrBxGWn/01wZY13EjBFCK7Q2Nr/9mfq6Aq11F/Z955hm5UDXH7LPnL7zwQqlk3nDTTTfZBVPMf96uuk3TLee39m2y8Ub5ovRXK38h/tJLL9EQvKzIH50OuS6r1RsaX/933XWXbYPcz+50B21SD5cygT6dOLyh8fzc9D3syCk/74u4Nv7CapIXik8nNm9oLP+A/gPi2Cnn4BXpGasSxsdCQpV6xyr+yMJ3rG4ZCL6N5pc7VnlM4b8+YzX0jVtZEwNt5g/JXFu1bLAB/YGKxuD/n3fOuUaPoHPypx1qrP4dOf4pPT9f1Jd5EuY/r8e//e2quNqKyE0ZdXlDs/5cjQ35ubVu++OannfuORXTztVOoNOLdYdeonhDs/71ZWx9/zN40ODk2KjbAT8Xt/Dx5RaXNzTrj/pvt/12cRsI+5YHHnxQi2klM9Du48+Uvv+12YXCmaEGuJIViklqc/7Vl7H17V93zqXilldCieINsf4P8S8ocQwI83+rrbcurDLXVqDTy5kLbUHwbWJ+eKOctOOPeYGa+W1NlUFz/yc1scJg0pRlieINzfmPMt50802l/c8HH36o9bSSGaidf9+M/iZfY/XV5fvdnHPOlT/z9NOFdeJiFI4/fJMVf7edb775qE3b2//zFX+MohcYp/l8OvF4w+S//t2FVe142v0wVm8sDlJ8sW1Kbcn5rip/kWf3PfawAu5/wP708+fp8w8++IBsMQYIFiuA/334QT7tNPwu8XiBpAoXbdPQHWN8lZw/FhNJTLad36g+ijSLbdP4UQOCjLGA1OP9hg2kXNHEpwReptSoAUEiUpTq8X7DBsB2BoGq89J5Eg12SESKUj3eb9gA2M4gUHVeOk+iwQ6JSFGqx/sNGwDbGQSqzkvnSTTYIRGJ5SGHHCLbyIknn5S0N64BbfUhbS877pRuV34b8/N/yJAh0gghIDWSX6rH+w0bAN8ZBKrOS+cRjS+s+r7NQnesVn9iDPg//fyz/M477swfuP/+vGW83tWqPpdFYGzrPERVbZS8YCC9KDi05lEAvr1hA+iZMwhUnZfOkw/o30/2VRj/oEGDEj+iqdSWC/bsqfUKJ+tbbkEXVn1QIathJ3fHKuegZ6wWqLEhEGSamzX1eL9hAptvvrkcwDEWnmOnn3ZaaBbbWhvXzxgdWcRZWMQYcFgsAyVPM7/UJtYuLVXUfkQv1MB+QWW3/IYbb0BBScYYMFprAyXPVF3/LXibKJyL/IG3CfvEwgFBGsWAerzfsAGQnUGg6rx0nkSDHRKRolSP9xs2ALYzCFSdl86TaLBDIlKU6vF+wwbAdgaBqvPSeRIN9h/9GNuB3nXPd9/fcANvBzFGKQsaw+GziC+2TalRA4K0UAbU4/2GDYDsDAJV56XzJBrskIgUpXq837ABsKNh9912T45xvD3EF8lGHhAkIkWpHu83bABsZxCoOi+dJ9Fgh0SkKNXj/YYNgO0MAlXnpfMkGuyQiBSlerzfsAGwnUGg6rx0nkSDHRKRolSP9xs2ALYzCFSdl86TaLBDIlKU6vF+wwbAdgaBqvPSeRINdkhEilI93m/YANjRwOenPOf9edGuu+4aiJEHBIlIUarH+w0bANsZBKrOS+dJNNghESlK9Xi/YQNgO4NA1XnpPKY9+cTj+VnnnJ3feuut4XF8iONljAGrxTJQ8oSEsW1KjRoQJCJFqR7vN2wAbGcQqDovnSfRYIdEpCjV4/2GDYDtDAJV56XzJBrskIgUpXq837ABsJ1BoOq8dJ5Egx0SkaJUj/cbNgC2MwhUnZfOk2iwQyJSlOrxfsMGwHYGgarz0nkSDXZIRIpSPd5v2ADY0fD5Z5/TNbRpk/3PhB5/vxs7Nt9oQ71JoPuss+aPjnhEElkWA+X8PGC+a5b3fwfTdYyUGjUglnfffTftM+P51wwzzJCP/oYf05nWD20KQVOWkJTJS2vDwZwGO6S4k4V6vN+wATRwBoGq8xIefRRABV9MuEfWNbCWaAOJiE4fTz8dnoduKcYXOZZXXslvNG/J+VlkrB9AF1etqYEQpJCf22qseJGEf+J/wQUX5Gf+8U/5ySefInet/vznv8iX/uHSuvIoR79+/cKIkSDIVMSq2BjAd65oAktl0V6pwxhkKlyS6vGLFSHS7BVtCwRph8ZpYljjimjm11pbZWJpoiktcNFeqcMYZBBvvvVWftZZZ+fffP1NISb4bvVGU37LLbfkP/nJT2z74je1Y1vrRc9HueGGG2M8aYfGQabCJQnNCtufWBEiRlZUtAc93rGqfeNHAViiVvI/TX8xm48eYYDtfSF6RAI/MzauiEIHavIz67nnnrN9AeLJHaut5JfoEzn+ZZb5kfWfDyRLL/3D0Ok0sXWdwOx01zL6yHK99dbTroSWfvzbbUd3CxFH/3cLdwOnKdBM2yFTfX7jM3Dj32bbbV0uzXn88cdHOkLDUqnDOOH50dKPH6lEGiFYK3UYg0xFeW658aPllJp/8cWWKK2/22+7PS2dDRI1jAZDBgIHomiv1GEMMhVTXP23TbaJbnRy2S0//vjjtCIYalIfGNOBw1qaW11o/k3s/qe2Rkl9oZC0BsEmeku++OL8Fl3sM+mCCP0B67bbdTsot4lBDBlwuRgW7ZU6jEGmoiIG+M4VTWkHivZKHcYgU+GShNANzL999tnHjj84/7jqKroTHqnQS9FhTBPDWm5jnuiKJkRWWbRX6jAGmYqKPoPvXNHUzO8rUKxLpQ5jkKlwRQ6BG5h/1gWEhqFShzFNDGucZI3nv/rqq0vz/xe/+GXFWDgmMnVcfgzXQsOAVIkO46TJ/xld9FluueWsPrzfnX/++fNHH9ULN+gzegUdXfbnn7UckI0QDJU6jEGmIq4eiwm+c0UTWCqL9kodxiBT4ZJgDOA7VzQ18/sKFOtSqcMYZCpckaes+q+88sq0jen5J29jhx12eMVYeEzl8be0jM+3le+R+v38jDPOyPkXtPKfvoMDP222Z3LGjz/+OL3/5aacXmht2/fIF90jPpEK60h0NR5xxOGhjZ5/rUKPKZNPqU00GDKAwEEW7ZU6jEGmIpYHoSfi+BPvWHVBEJdloSveZRicyFYXXxyRk1i++yqczL43alT+d7piPf3009NOd9l8zJhvldxA/p132TlcmddJwCdyt912m/WxmH+rrbaSvPyYAOlj7GjouzM0kN8GXAAxSkQFSjM/F6RUHmdo1r84ZURHhSCrSM/T4wOuvfba/Pzzz8vv/vvd9HiNUSWatC8FcYZOqr9cWHXbv15YRffq86+19tq2z8BPmDem57lVfWKUiDyP78zD/gdy5513Jorjd8L4F1xwQc0bxj/vPPPSuaLLWcj/1Vdf5Xx3PfrIsv+AATIU3wpjW2/d9RIu8z/++CO4EyntS0GcIelXbArGzjvv4u5Y1T4ezgdw+oDjUYygSDiRGNzO0EZ+xyyGbua3itRXaf4FFijNlXvu+bu19F9iojGu0frIkeORj8FY2peCOMMUuP533WXXUk0PO+zQ4tBF74rjx0DjWowIPsjJZfwLVG4H9DO0KXD+JbUVZdLX/4QTTihtAxdccCG6ZnJyWf/WoWK9mus/LU3QMKMgq0jRF1GRJ56S2xmm0Przi+/8+Rrj444Lf1xzReiq4+chxrUYEdv/9Kc/aW3c+T/XZwG6uPrNN3wTieNPoeufxxlHERHb/Uc8JbczNMfvy2UYFYI0hwPRF5FzCxRPye0MU3D9//TnPyf7IH4kYPFTN/743ha9RufvvLf9GrZfkuqP19/AWWONNSilq2ehAz7/8ssvn/T3/PPPp6bVbWGFLIQVNfoiKvLEU3I7QwfnjxdWfU9cvkLPPYtwkZhazqMLPSg8JF/Q4GefzjHXHPmL/32xEC+oxbCs08DnDS/j0Vjd8hlnnCH/OtxCjEC+6RG/OULy8wXe5EMk9ySIxCWKD8KGom4tyo6yxcgREKmZv5VKFV1F3SpZdpQtRo6ASM36t1KpoquoWyXLjqIl3rGqO265sEqktuqfbuu6Q1/mR8tYZgXFbOVNlZ/jvMoqeHt3/APPIn0Wyb/84stCvKAWwxZ1a1V2wDJixAh99g2dSGLfx/LOu+6UTlaN/7zzeH8ZLqyGg9k09OiTV1951TICvEK2mWeeKVzsjAe6Y449FpR6SZ2sym8NMAgYSN+bX5yGA6yMqVu+3377gmGy2NQcHrQjv28ecTlb2RLZhqbC/MU7oXldPvhAeBaiFSaAYhGLuvHLjrLFyBEQaULnX2zsUTlb2eL5AXdQ/r322rO0/e27334VCQumDspf3ttVWQq5WZ2K89t2IF8SdL/5wAMPpEUqTqKibuyyo2wxcgRE6grzn0dx2eWXyZ3afGzDHaunnnpqHGsV6kLjLw5valv/U/v4Tz/jdJv3mP+XXHJJsSypPpXM/1/u88vk3NefBw+7clhaE68VN6Kibtyyo2wxcgRE6ir73zgoRc3xFytSoXex9T9m9Jicb+LB/odvWvz6a/1pfcXo7fzvkIMPidunfbdLv39im5ULqsbh77SRx3nlVyqUrK359/7772s/w/nXvPSrVP0ji+tpMUhRN2rZUbYYOQIidfb2n15YlYQxf91VZGO4USh0BiIdd+xxVER3YSGsmO6zzJrzhYeUTQ3IkNjcVeQnnnhCJ0GIwXHXXmvtQleS1vTciI3yheknxBqUfaGcgZayW89viTxwARQ6A/OgiuRFM7+VwpWHSyUfcorf9ESDNUrnVugMzIIqkhfN+lspXHm4VPIhp/hNTzRYo3Ruhc7ALFKHF15eJc9YDbQCW/iw8Uvq/F/HeAfPtuQDsqay5bP/fja/9rrr8lNPOTVf3h6VQPshOzDoQaHvD3+QH330UfSCvcvym2+6OecDlAtJ/Um0JLUozq2wJb/l5pvzA+kFenwBWb9spvu/GWacMd93n/3kpX7j6GcYfADkux5223U3uls1Pj86tu2W80upDj300Pzpp57OL/y/C/Nddtkln5ne/oiDnh3k5Mst7RfXWTs/7fTT8+uuvU77LJ3jRfvn/8EHH1za/w7ZQ5/fy0kwfk0YlmoMzonLn8SFgvikN/NzUVxBvErmaaeluVWY//+i7ST5EC+J0I75X4wnugTlRfvnXxIXiuusQmdgDlSRvOjY/AcfFLYJnGTS9odnWksXOzm/jc+GioSSvdPHPyXmn2baaWk/Fr8U8D702WfDdkDlSyrYnP9hItUIKtZ9990X6xmOP3z8kw+KKZIXHbv9+ZWlqZAw9BeqSF4081sppBqhThDkFL/piQZrlM6t0BmYBVUkL7pe/fW8KOxPwvy3F7FMBePHZNChYsBqPfOPZ1Z+/+f97zHHHGPTAzHYkERo7n+tNJXAFUuhM3ADqCJ50fW2P9RFh4oBBytUkbzouuP/45lnyvczXAC95x7+FY6vQzr+3/72t+77QPyjaPxOyTZ3AVVw/A6tPv1uOw/9EnPMt/zLcyT0eWHW/FcMGxbPF+j7yHHHHRvIyksiTMHbv15YTUaj40xNTnMwVqQaPfTQQ/SFjk9k40paaqml8ocffjhNUhEzNbXkxYnAXxLb+sv4XXcNpwsmN1V3jq1IAumYqclpDjp6+yBiQbooqclpDjp6+yBiQbooqclpDjp6+yBiQbooqclpDjp6+yBiQbooqclpDjp6+yBiQbooqclpDjp6+yBiQbooqclpDjp6LcSFVeyku3efJXIRCzJ68mvo0QZ8t6bs6Glbn2666XJ+A6Jts45bhHxXvB4g0hNe+0Jt+yNc9CQe5Xg3vOCO46VdcpqDxbys9+3bN+ROD0oYPw5crPOF3A/pDY7TTzdDcpADxyT1jfEJv6ODIUn5H2yml8ZEP7laYMGqLkYbxgIZPaXxn3TSSWkfKT8/43WiPsgL6YKlJqc56Ojtg4gF6aKkJqc56Ojtg4gF6aKkJqc56Oitwm/ppKdq/r37jr7QsbCyJVaaxmkOtpq0ESdiQbo2qclpDjp6+yBiQbooqclpDso2ge0xbH8TtE0gFmQD+cePGy8XAvktrhP9QV5IFzA1Oc1BR28fRCxIFyU1Oc1BR28IfvvtWNt/6vag+9J333mv1D5N4zQHS40m1IBYkK59anKag47ePohYkC5KanKag0x/5ZVXSjXdYostXKRWIGJBOmpqcpqDjt4mHEv7wPPOOz+9kwexIF2U1OQ0Bx29fRCxIF0UmMbTSzuf/fe/4l09cDhuuyFiQbpAqclpDjp6+yBiQbooqclpDjp6+yBiQbooqclpDjJ96623Ls3/l156yUVqBSIWpKOmJqc56Ojtg4gF6aKkJqc56OiV8KOPPsr5Z8l8jlo8/ziWLqzaeUdFzNTkNAcrk06IEbEgXdvU5DQHHb19ELEgXZTU5DQHHb19ELEgXZTU5DQHHb19ELEgXZTU5DQHHb19ELEgXZTU5DQHHb19ELEgXZTU5DQHHV2ODz3x6Dna3vZwL4n3POBV5Lms4bsk/6G54vukfbeED5LPeR3+1a9+hbBtyu2203d18P5gzjnmlO+/th9wrdNhOs1BR28fRCxIFyU1Oc1BRy/BbmyhAhY+bKKh+0+FSdxid06DCl599dXs1ttuy7768sts6WWWyTbacMNsxhlnlDVayOCyWRCzrbryKtlDI0aQzuuUl1n2/PPPZ8ssvUy4XhKiWVMDlitatP2E5Lcg1qMAJKiLbNCANY2WZn5fi2JJK6tT10DszmnQQLP+VGBsM5jzsTrl6k8u9aeXVWX0gi7ZX2y7zbbZfPPPV+6sDMSNxqCB5vrvgPV/yUUXZ3vuvTdFivvfTTbZJLvl5lua+1+5fj/5Hn8++eSTjO56Trcd6u7Yb8dm9LOh1C5a3HbMWWGKVOc0aKDLbn8XX3xxttdee8s5Jo+WP5tsTNvErbRN2KgjihWJNmlUWnhmltEX1Gz4XcOzO+68Mxs+/K7sk48/zh57/LFswICBIZDjGzRgPYmWCcsv3fONfX/F7pwGDUw2+T/59NNs7h49tPc4IJI2dmxxO4h9t6FWmMQnduc0aGCyGX/sUcet/2/HjM1mmWXGrIWDh88K/fplTz35BGm6T0ReSKZ5HJo5UeEtmPhry1NPPZXlLZSlWwvFC7n46wy9kWwasrSQja30XofsvHPPpW1neEYXgjN6gVlD+e+9917JQS+/zF547vnsq2++yRZddJHsB337ZrvtvlvWr1//Ttn+PvroQ+rr3dkdd9whff6YtvfHH3s8GzBwgKtRgFIXVxyDBmys0TLx9beOSFAX2aCBic7P63oQ7es+oP0g93wm+v744siR2oVJkF8SxeHY0BkMHDAoe/LJx2WMcIwePSabaaYZSO28+Y9cWlzXOYMGJrr+kiuGs9TR7pwGDWTvvPNO9t///jebfoYZsp+us042bty47MKL/i/be8+90limxbatmRrNj2iQ3M5jy2GgwlthErrYndOgAcsVLc38vhZWdgMV3gpTs/5UAamLFoe/K2+22WZSlplnmjF78+13snnnmWeymX+v0LXAH/7gB7L9867xymFXZjvttJOt9QgqVnaFSfhu/FFnFBsAQaZeaVVYeGZwVZjEI3bnDJAurPIlWDoB0WOA607MhWaQ7AGGjOwi8gyPwcvprtnW8/MJ8XzzzZvR3RpolPVeeOHsrTfftH6YowR8TsV/+ctfsp///Gd00vR01rfvUm3mRwRITgEMWUprBs/wGIS2x49WkNwSGBLRytIzPAazmb+t+YeqQXLlgCFRzbL0DI/BbNa/Wf/W93+YNZA8c4AhMZvK0jM8BrOx+XfLLTdnm2+2ORqJpGfXZg88+GD4+pC4nOJzegxK2/m32HLL7H//e5/20/iqUhx/t+yoo47MNqQ/2pU/PqfHYMb8/AVu9yFDspfDlzY9JHajL+j8XZ15WTbtNNNk9EuMSV5/7ovvPTAkRlOWefbaa6/LxQRZUdyAPnPMMXtGb+0lFMfP9qp4sEF6nrexvfzxDI/BnHLz02M/ss03520CayfLeJt4kLaJ+PFj9hiM6vE/+uijGb3kM7vzzruyRx+nL+45nftw8/B5jGwDBwyoXF/gqPQ5PQarOj+8LNEKss7m20Rc1Sp6J+X8e/31V7PFFlvCJ5ft4NNPP5+sz39RQUgeADBkMqhE8QyPQZr49d9zwZ7Z+++PQsBsHvoyR7/ECLrP6THo7ct/O1103HijjUKQuP0hKku+rErRzbT6Gqtl//zH/aYrKOd/+6236PvBz+mPGXdJFInAfzyLoaQpvbAju+zyy7NF6LtI/Ycbcf/447FaMP8ff+zRbDht73dQziceeyyjl1yGVnpr0ONPPJb17z+gFKkqIiKr9AyPwSqPH72NjLiHgw+RIMEtS8/wGMy284945JFs5ZVXsvqvv/768kcm7ktVRERW6Rkeg9V2frSC5JbA880/f/bhBzzX2ZJl9MzA7IMPPhCsCzBZ8xiUictfFRGRVXqGx2BNuvzP/OvpbIXl+0livuFqscUWIzzp8k/t9W+O//ud/5Oi/gcddFB25plnyjZGLxfOTjr5RMLFvba4w2LSbX8777JT9pcr/yp5t956q+zaa68jPOnyT4r6W2Xpy2T4hHtcRfj7Xb2dqd6Hto1La03AsDQPmgjvaaGfBV+T/JSApkn+i1/8vPGkjvnP++/P6S+eea+evfLvxo1znvr8vnvFXrsADUEbGQHDPoEYvSdgMxloKF+RZK0JGG7mpwqEaojwlfF2LpT3SeEmaGGtCRiWCEET4T3ezkTvm6DUPouESSP5PN7j7c38U2v9H37oYTorkVszZV9Mf4jLl1xyyQmegDazCBj2M1OM3tOS/+bI3+Qbrr9BPuuss/GZkeWXo3LQTzrxpIb6YpEJGA75zznnHImPuHQ+oj95IcnHnKWW6pvvuusuDeWpI1nOivyhGySMFbGZDNSlKNlHPEIvUsNzJUO9llh8iSSL5ZTwPkfAZjJQytOIwVoTMCwNgybCe7ydid7XSMaUY60JGBZK0ER4j7czMfr4kUaYj5gzSy65VJqwoFlrAoaFEzQRLXlvejZ8cf5hHfJcfOKJxwuRG1MtJwHDFfljtMAysoFImQBkrQkYnkT55YWCYf7H9bVE6H3ojQjfM29nqveFphMgrDUBw9I+aCK8x9uZ6H0TkDhQrTUBw+ILmgjv8XYmep8GHTRwoNtv6jGi7uUZ1pqA4XbkX3PNNSwnbw9Yn9hGRNdrkrod0f7vOnruuuWsyX/F5VfQcUafj87b34I9F8ivGHZF/sVnn+effvJZfsEF5+d013POxz/OQReR8/vpO0Wjn7r8vXsv5MYQxsM5wn+6YzWksAiNpkx41rpm/FogY1HbgM1kIInbqGKtCRiWxkET4T0t+UEHH5R8/7vk4osbTVfiWWQChtvI792+1ejRo2Wd+flHdzGXcnqD5eyA/D5uo/j7yj+OHmGz5pprSr3WXXddKaP1RTofNBHe4+1M9L5GRx151pqAYXEHTYT3eDsTvS/GbRRZawKGpXHQRHiPtzPR+xrNGnnWmoBhcQdNhPd4OxO9L8ZtFFlrAoalcdBEeI+3M9H7Gs0aedaagGFxB02E93g7E70vxm0UWWsChqVx0ER4j7cz0fvKWflxR/3795PtbLrpp4vPjw9Ua03AsPiCJsJ7vJ2J3heCNiBuvvkWO7716tkz/+jDjwqRfB6f4//Zuw54L4rjfw8bWLF3BUusiL1GNLH3xBg71mhib9HEEjWWmNhRkyh2MRE1xoYtMaLmHxtq7DWCvWHDCoLcf8p+Z2f37vfgPUBB7z5w02d253bvd7dvb9fzOx8fRTTPhBguQh/HSzx//OPTTIj6w7sWDWJ4nl9XVvlOClRgWDA4CQOFhJkQXmP3PfbQH1aeNhQeaP72t7+bvuo6C6ACY3z6FEg3lSEfssaLeagicGESYnje11l/KUMTv8m/NUZqi64xKlphhAYb2380d7qRmWAVDWJ4XhM/pkvz4rIDVOC3I/8vPv8C3Xvj/ZdfYHmHbT6+rvrTp5jlRhtvFH6g9QUeL9T77bdPfkE61P5p2Qn5beCXJJrpZA8B7L+N6n3t1ddMse3/elpnHHkSSL9/a9LaZ+0daMKmQwzPa/p/Wb7wwouWVwy0SJ9AogR2rv+/8cabJS11VA4aNKica665Ks8/Dz44xF8awhHUoRMQ33nTOMTwvCnx+t+AfkDtH4Mha6yxpuXRI76uwv8W1D/Wr1K7KApYRaOd+u+w40420Ij7zLPPPdeh+29egPbiP/TQQ9Tv8nu0H1zlAclUzn+ooE+QW9VO+Pfeey+tdz613f/nnnvucujQoWrj6v/YY4/Rb4X+kY/rOxP9Dj7//LOxCii8wPHr/2++qf39llsGlXPPNbfdV5DPITSwCrccaErsf9UERU6Ooa40c1f+yCT9la4pDxbQ0giTRf2f52ciuv78H/d/WWPbCs+1Gr/r36r+xiefcCteHaFohREMvvn4X9E13HfffSVPs9EfJd5483WrVivE1UZViOF535X2b/lp6t9cf2sM1BdcZ1A0Ml7630vlbLThMd+Xll12mfL9Dz5wloxG3UxgZEWDGJ7XXnxTFIOx5dBhw0qayS/l4T9EPvX0kxanFeJjiQ4xPK8j8b2dxqty8nJUNIjheeOKbwOrlduvt8yjEl3RT3RQBMAgBAnoilrxF+J/OXq0/FUYP2CA7w5/N4mYEgig8O2336Zdt3cpu/DDGD1U8+7br776KplAr6Y+k0n903pFqpKvKHL1ivUTMUjApv6WtUo+m+tvualDKvlKlNDAAIMQJGDT/ixrlXxOZu3vww8/lB9G3H8Z8svESJq1UT1wgQEn3vU/4YTfWjnwMsNl2XLLLV0xEBew/fi8Qciaa61pfvHHO32ZK2iW6i7Ot6KV65VoIC5g+/FZWvE3Ea//BRdcIANJqE/MVyzfpIxvqUE4wCm8/3/0UbVPcG6/sI2lrKKaApCA41n/o446KrZN8s8xaI1VS2sVQQDAoAEScDzjV/3XtNdECQEAJ4/4/c+/wP4wzzmM/aCmPhOx/1lqkA7Ab0n+zzjjjEr7pDWBqdpWUU0BSEAn78j9BxsG+fs/rmeE6cDqmVRGC1cT/+133i7no5k0Yk+/awwH3XyzXbocOZ9mrvr4Sy21lNsYCwEAgzVIQCtQ2v74Cw2O7+/XPJjsj0q+vND8WiCVggQ0vTS+KE8m7f/+B+5P2pbMdqQCTg71v/POfyZl42t22mmnSenShCtl6Z6C8h9KXgHjm/8RI0aUtFyOtOUZuk1f0nIXsR9aQmqu52TS/ioVt0tpF7FGBTJAM1LE2IZU23NT/5q8Rtb4tr9oQRjSDWiMb1/7u++++8tu3brK/Yk3kPvs00+/kfrzhtC05If0/+4zz1I+8ugjsRzf4vzT4u9J0xPCs/gvhjgiBk6EFVnGyEgxFF6NwLMuueQS94ChD0v8wPHPf/4zBifM23w19qvyRZpNct11fyv32muvchbafUwemMiO4WabbTbe8b/p+jfx45WNWHLp47X07Ew5I6NNjcCzmvzHbETMJ1rxiixjZGSTf8qA5KQmMZ41ObW/qaeZVu6f8sJH91F+sXzl5VfitdSmoGdfCdTVy8HL9FjFs/L6r7POOvp7EOLjvr78Ciuk3r2TzCcURYVOp556KvlMX8TFb3jBvjP81mQu4UZgRZYxMjLa1Ag8K69/EtQR3iY6V4UTTjgx+f3juu25555TXPur1HE8689qdbbCqxF41rjyT5t/WW7RL155lfqEdzKB8S/s3z8MCMbnn+pAi0tGTYWz4oiy8GoEnjWu+iOqt4nOIa2kI6pUDFPdiRnf/1EG940999gzFjJgvkgTM34eSOL4YFNofP4UnvOJ9s9/mOp/Qf+kujXV7NT9hzafKmmda4n3wx/+oHx52Mvlyy+/XA6j/wyFfkXhKwyJ99Zbb+fdUcrm8/+Ln//C+jHXZfXVV1edFu8/tOEZvTD2TGxOOcUtR5NVOCMr8X2yLuD+TmXwf+Dj/l7nA3YVWcbIyHbje91vuv0feuihyftff8pN3eHLHCsXNStyEgmvRuBZ7dX/4osvSq4/t//BgwdrUO8EsVRi5wmNb47q/E8m8XlQlWeX8wy6++77jy/yBOffO8uqm/6I1OUHvIphatre9W/ixwxU0pgxMlIMhVcj8Kwm/zEbEYt5B1aREYP/8DPDDLysTVu5xpprlu+++w7Uv5b8Dx36Ei2f9r3vZP+3Gaua8fzyeNrj4frUsHBbUhGd63Tcw0pypYPyqJGjSl6/jDYkKaeffnp7wNCHtzZ7gON1Unk0njaMKHsv17vs2aNn2X3W7uVUU02V/uDxC7K8JKstbTqRhjUqL6ynPT5p62/FSZLXxI95afIvGahpEuhwKqJznc44+l/Mszf2eJP/72L+5513XhmAtBdoepGIa7+h1Wg7sXNNs0m+Y4FZbUK98diSdrenTzWnsfu/vHzyCyj9n3OOOYMni0w04d4FYrn2/zR9bj0drbmNl1j8xsB39+7dyzFf8SekNY5qWNBTEZ3rdFx8FElhruxpjwerGhYCqojO9G///fdLfv+4br8+8tdpaKFyh572eMfiVwJ9zfWflPG5T6CtYHA+DoJQzmrS1tH2P+DKAUkM7n8P8YzVOt+BqaKJE1/zVxOshoVCTY7x99tv/3jvCH80OfLXvh/kFfK0x5v2LxkIKfn444/lKzC0f+4PRx19NKmQQk3aOtr+ffvbd5997Rrec3fd2qYa0M7jEf+dd98tu03fLeljF154oZZfg2e4Mo879jiz4TrPPtvsJc9i56Mj8dVbtKLdkhO//Nsk/T0qKlZXtxiZdEihTmcKuv8uvPDC9tvM73W8Np8ddXX7Guv/m2N+k1wn/hJyxIiPpHhatCk//5bruoY0HvkfcMWA8oAD9qdBHfeF6RTU/ia0/nVpm5D7XywPYeOR/1qdJv9JGiORJ9TTHg8WNSxcFBXRuU7na8z/A/c/UC6wwPxyD+1B42P8vvN1tL//3Hcfff4/h9wfV111lfKVV3QCjmTua6z/N5V/GVj1fxXQluBag6BK89lJAl7lxIbqGmDLZPJ1Tn3ccuug9EUwDIriBcZegonvX/INDw/NSqczkRagReK/srWWtHx5/KSWUjQtH5/TkrJ9laNe3VkMvZ6TsYes/olPMVNbceNMIxdM5YAyKIYtZKTUxPe5kWRZ6vTyqjyTTLL231x/dz0EbfLPDfKbbn+9lltOXyTC/ZXvw4Nuvin2leRemLGTe5yTcb0SWVZLd/2vGjiwEt/u+fRiO9I+wU79a+K0DXkJzzpacaUVxWfyW8H1kzq2ldts/RMuoZhlJXNceK3GiIYtZOx9POvf2fjb/GQbzRvliOvFdT39dPo0NhyTOn6r/H8b4vderpflFm3x5kHZJ8Ry4Tp//QdceQXFcM8xdA2TwVskMrRII4FMYPwpvf2j/ckn5KH9I5+nn37aJO9/iI/LkcNvQ//jT+HR/vkes/POO8dqTqT2xwOgXbvRACj55y8XtEf5fuXxGH5c+T/uuONC2bWPdZmqrbSlxsRljOQj/Pfxx2Kd6Z7K9e939tkucEDZKLnHpyr59Zf+TnXkNio5JZz/gClunGksFZi+dOAR7GB89HfxIC5jJB8hchHLS8HrfPwHqc6oP+fih+utF665+p7U8SWKBImRfA132W3X5Pov8b0Wm3myUQeu/+SS/3HVP2ZFr0dSbrAYNvVvrn/T/n2PSPD8/p/0I+lksacppuaRC3deCl5ZvvP2O+UWm28uz6l91ukTBQGbFPF5Y2Ner/w3vzm2/JI21Pqu3f90xqpcD3eZGFWychFaMRKThKhaVMQSS04atqJQ9ZFzEpOEyDW1ahotyIRQjqGJQtVHzmF1M0mIXLOJX0mPJE6zZ6iS1eS14LC6mSRE1aAiFkO1NlTJqnELDqubSUJUDSpiMVRrQ5WsGrfgsLqZJETVoCIWQ7U2VMmqcQsOq5tJQlQNKmIxVGtDlawat+CwupkkRNWgIhZDtTZUyapxCw6rm0lCVA0qYjFUa0OVrBq34LC6mSRE1aAiFkO1NlTJxHjTTTaRH2d9gaaXUHrhu+gi3aGX1c0kIRIXQlTEYqjWhiqZGO+2664Wv3v3WW3wEzOlXqTPROsDJG6knOz+eHqhxgDLKquuXHaRT0zdABa9KLf69DD1qHW3IjNiRK6Z6bJYdNXA0Hbsqx4zn2zr7Nfus7bkzf4wSfW6auBV0Y0FdUVx9lGxNZaETIiqTUUsseQUU6Fk1bgFJ/GZEFWDilhiyanD8TfZZFN6uU7bzEUXUp9Qd9XgxOlo/CsGDEhicP97yG1exUESnwlRLUJFzIxQYEMFqdq24iQ+E6JqURFLLDlpKSoKVR85JzFJiKi59tppP+A8Dhx4daj6pI+PklSKJ6Gn7Pg79+3r7jFtZZ+1+6C6FdjZ+vOGs3wP4+t23HHHl59+RuvGhSPxmRDQiDAXL7TgQuG3RAczl+u1HLpDNGqBzUazVH3/X2uttbLOWDXM48dGr6Y8y8/fq/l3dshDcbO6qscsZCVAalERM2My7P+//OUvNQ9Uf87xBeefn1bEUUmdEsIpBbQi7mT91/3BulQ+HvzW+/8OO+6oESoB0jJUxJ2M770mPhPCa7UoXhOfEiNJiF1RyWryWnCSlCdE1aAillhyauJzuioJquYw5yQmCZFr1riX1MvpW53/66+/vuSNFyvpmQT15zXWhzxS/5v1dcTXC1m99sz5OuIXktMkvue4IgS2l6KQuCm1rAwZpYsNw0vK1WJABu+BToGVWNkthNAicRop6GfcJj5y7hKHi9oixcpuIXRumvyjzfkcp1nRdOV6aW69NHpKdZB2gyROI8FLym3ix4zGXKS5ReaQW6VTHcgMkjjNNLyk3BgTlqyX+oal18h1IDNIRmkkeEm5qg8ZU4wHmsCBBx5IL6BxKRZ++TvppJMTHbaqHGSbRgo+M67aQcYU40qP/WpsOc8880j8pZZcstx0003Tl08qy+C7BrNR9SAXefyHH3mY/qKqS8bwTu5nnnWWvcT5l9qXXx6m/kKxArAYoXSJjgmB1MSHQe4P9YXc6KCY6yvdQhjiL7E4rXMkL6c8cED/Cef651mJMYOhy3+4DABQCHT78Vkpzz9iBUvzZ/UVDktT37m+0qmOc6YoiSdV/AO4T3BO3f+TT+Y+4Y4JjD+ABlbNf+h/WGP1m67/lBR/CVnvS9s/+sOQIdwP/KE1Ug7jgU6BGSi7hRBaJJ5U7W9yid+vX7/YRqkvLLDAAqi9pHBC6//Zp5+Vs/NOx+73hz8NX3bZXrSPws/KG2l5ry8+r9tIUS9hq/j8xzi9J4Y/jtC9MW5WyNlNr22grG7rrvuDpN5tVD7esCM5yKhV/Nwfayb9PdxXsOROrq904OZCFIL4HYkPM6176jsPoXSqE+0DRuLOxO/Rg5YBCPWfqstU5TvvvEN+0mNSxh9X/RdaiAbk3X3/rDPPSgsHqpP1H1d8dv9N1r+J3+S/aX+xF1RuTizio+n/lAJtKZaQkBjPTWVMsTRopEBVTdpCCC0Sf93x2zgk/dVN3gzk0YL+HJwf/OtRw87VWtKJPRN8mEOVyjlRVDU+t2BHhXFgiT0TfDTxNQ8hu5KjJFFBTKAFOyqMA0vsmeCjyb/mocm/NAZpI0lDCekh0IIdFcaBJfZM8NG0P81DB9rfeeedWxxwwIHBTsGBBx1Y9Du7X8LLiYmR/8f++2ix0kor0RcWRUEDvMXIkSMLmk2q15F4fDmvuGJAsXPfnfPwafsh3ZEjRxUrrbxi8cwzz4juRRddVDz40EMFbRIkfri87HHJJZconn322dReZB07sb+kubF5wpi0v7+zdO9efDxihBSaw/LIKq0FV9CAslBcGCljUlBRl1MLdlQYB5bYM8HH11j/SRn/XOoTB1Kf0Lxq1bh90kCTEnSe0PgDrryy2LVvX8kZt38+aGC1WGWVVZTgMwk++OBDzasLyOUaS/+Rbn7Gm3mW7sVUU3dhKzpUmc+jvhhZXH/D9cWrr75a/OpXvxIpnz7+5NPijttvLYYNG1YMH/5eQQNcxYorrlhsuMEG5BieTb2CuOJIuFGjviyefuap4rHHHyteeP75Yo455iyWWnrpYtmllykWXnihis/EvuJ93AzY03rJ0g+4/Wu9i9APZmnaP2VkQp7/n3n66WKZZZdNLgYNhBVzzTXXBLd/vn5/Ou+84oADD5D7fxIkXEoGM8wwY/GjH/+oOOqoowpamsDUcP2FwQQfodledNGFxV577a28wD79jDMK2jTJeIm9cRU55JBDirPPPtu1qKIYeNXAYrvttzPNxD6L7/sf8n8l9fe+fXchnyVN1aSCUt+mNVapv68afRLvww8/IForwme5NwhibJHONMssxdRTTaW2Lj69bBaD77qruPPOf1FuDyzmm2deuCs+/fSzYtCgmwsaeC4++eSTYqEFFihWW321pAzqMJ759/SBBx4oXnvttWL06NHye73G6qsXc887bygl6br4sUDV358hQ4YUq626qtX/hz9Yt/jXXYNjsBqMNjaT3+vnn3ueM1css8wyxXK9ehXzL7igxP/www8L2pm6aOtC9z5NWyhQNb53z0U29SB47733ijnnnFMFpMDyx594ouhF8fIjsWeCD3OoUjkniqrG5xbsqDAOLLFngo8mvuYhZFdylCQqiAm0YEeFcWCJPRN8NPnXPDT5l8YgbSRpKCE9BFqwo8I4sMSeCT6a9qd5mFTtD4O6GBg22iNYH0NGfr1g3HgYSybFdMy4YhkVKyJbn6GJ3+5lqibOxvsnSv6HDR1W3njTTSXPyDnttNPrwlV4o2gdw6eeeroceNVV5dG/OYY+vRtY0RFGc/3r88Lcpv9pbpr+/432/9tuvY1/lsN/eQ0st9t2u9btlpuuSSfs/s/3HMS++eabyxNPPMlo5beVv/vd7ywakLr49okh1WUTWt6Ajx4L98j8FeVBBx2kbqbg/vfFyJFUL71W9DAldaTBDq2XP8dEee4UX/9YrQlrf5IIchb9aWpuuw19IuSY2tS228c+EfU7H3/AFbzGKvqdwoeyT4PfpnW0TCdcZ6Oz6//gg7TxVTh4fa37aaMB3hWdN2pjm4V79BDpZ599Vh5MfWAG3kA0i89titfVpD9K0M9TrCX8AkbJ2PJt2pV2zz33LKemtbe8P3rGN/p7NLua+3dywD85i/4SjZYE9EeO/EJmavu4ST+AYp2niRCfS95eiHaFU0j8nj176nUM7W/QoEGuWp2v/5jRo0vzbW0l9je9ppFum6pLudtuu5U0IDjO+DvS59u+/bGva669Nm0F7eT/zDPODG03xj/yqCPNPl7z8a8/L/2BdoqyyQx1cgZ/SX+XnMT4uM/DB69VivY3hvaXuPfee8uDDz64xMZ7HAMzYr/44gtaZuG4sJu0LrsAPww3o7X6Pv00LsHAFb3llltKGvS1MifxaQbvmTKTc/zrzz4PP/xw8Yf6//GPf5TKo/6sg+OJJ54of/CDH9bHpzLzcg0rrrCC9P/nnnsOZimscwyNmut/2223x3gUY2F6fqg7otuO1T/xVRM/kbdDNPGRnCb/sS0gJw62J2zanyaKctRemlw2DY36TfuLubD0RKQ94RTY/mqWAgh1lcq0rm1rCdmzEP9j6hwWrAkEzMkC2sSnRLTMTjuSYMamLc2DgEBrFZZE6T13320PEvyws/Qyy5C8xRFMP/7o47Jr165kFz8f3oXW4jK/pBcjZL6a6x/zlKWGyZZ5gzBcgxrTaN3kv3Uem/YX20loRDQjRO4BeNnhF61111232sTQ9lo20iDoQPtb+/vfl9jTTDNN+Sm9MF9y6aV2P8KLH+8YLUc78f/973+XvDkJ23SfZZbytddfL59//gX1FQYEUL9bb72lWrfAaVk1lrcTX82DNYGWfiZS+3v11VeobvH+y/Vec801rBiTOr4Gys9fX/3zyFZxRiZC/l/Cp8SUV7TDddehPsFVbJ1cK0ZrleiAPw1Gm+QYjD/4UBwcZWc8YPLfR/9bXnP1NVYOvu6sP9NMM5cHHnBAedlll5X33HNP+dnnn5Y8uHoIDa4ssOCC0j6k7KH996SB1RdfeIEGTpc0X3l81JUhLxGSHCh6qNyYMV+VZ515ZjkL9TfE4c9ot99u+/LEk04qt9tuO+OznGNtsvHGNIDzSeLWEy3zxkpZfIEpSUYAAEAASURBVGa99uqrVhcM/Ky5xhrtXCI4Yevq0dH4qYdgTaCln4nU/9O4oCZN/P332z/mmK7h8ccej4AZ7Fj8hx9+uNL+fftrhfdaplc5bOjQLDaTMf6KK61EZQ6DkqH982+E/jE76LX2UF5FEwby+JttullsgzW2Pn5dhLqlAIY8xIOj8RjN/f2/1N+v8f1d70EzzThTecD+1N8vvZz6+93lZ599XtKM4nL77bcvZ50Va5PH+xXXnwdu/3Pff8pFFlkkyTXq5vs/b4TC5eYBVl42ATpVGPJK/k/9wx9i4V3+6+rPinwPgj9e+/ztt95y9pbB8rZbby15SQjWnW7a6WRA9t577i3/fe+/6Z5zdvhjUfz9e+Lxx8lPiEqgVfxxXf/fnvBbKx/H3nff8OzBpWSn+M905QhRCQSsojGu+C3t2BML8b/qOQgVtPQzBd5/rKqoe+vKqSrJW6vAiXlNkJZ2rAXTlkpBQKC1CktaStuRNPGb/Ls2QGj1CO2KQMsW1vR/SlvL7LQjUbMiMa7xk7ICBSZg5cqpAGJAU0sYjnAodFNWoMAEhLJBFUAMmIkD6aQOhW7KChSYgFA2qAKIATNxIJ3UodBNWYECExDKBlUAMWAmDqSTOhS6YB0rG73wS48+LO2///5J04G+QrW6gda98g9k/AB38cX5xh6IQJYOhb+UFSgwAaFsUAUQA2biQDqpQ6GbsgIFJiCUDaoAYsBMHEgndSh0U1agwASEskEVQAyYiQPppA6FbsoKFJiAUDaoAogBM3EgndSh0E1ZgQITEMoGVQAxYCYOpJM6FLopK1BgAkLZoAogBszEgXRSh0I3ZQUKTEAoG1QBxICZOJBO6lDoetbo0V/SuqTTJC8USy+9NFQdVCvYAppCwnCEQ6HLrA8+/JAGQ/XlCYNWd955Z1IOfrnZYostgpk6gjtA+ryxXHTRRcmO7mE0k4YHmvimc+6551Z8TTdd1/Lzzz/LbknBExwCorAGVQAxYCYOpJM6FLopK1BgAkLZoAr4/PCQIa5ueu/edZfdTDO56db4S1mBAhPQeVNUBRADmlrCcIRDoZuyAgUmIJQNqgBiwEwcSCd1KHRTVqDAJEifvFZmYC6zzFJi7tTgTiEEiRYRCT+qpjPY9BrS0hW1+nfddRcNNKgO94kdd9ihHP7ee+oMZ4qzBK1TzHIMMgrONP3ngQyegUVfIce2Q/2FZfj99/qMH0sbC8VDK4LqHEQDuKrfVvIfRs7/8wVRNVR6n332ibGkHG20s/xOWUqCRzgGdN4UVQHEDOnTYvKPvBCk+uxKm+ElSYSBOpFzygoUmIBOX1EVQAxoagnDEQ6FbsoKFJiAUDaoAogBM3EgndSh0E1ZgQITMCjffrvO4kO72YTWweYjU8sYTurQ4FJsuY/dcMMN5Z/+9MfyWNpleIvNt7DZ1Xk7ZBrxGV+UBgrfHT4c7hS6OPPNP2/W7oryxRdfNH2nSrxAgUlw8ODBFfulllpC7J2a+UsEOREMtL/TYKDrf9Lfa+Jzf9dNF7Wv7kD9/f33tb4+Pi0vIDM3dV1Qbf+SuxBjyy23LKeeSmeS84zy5ZdfgQZN+5brb7BBUj/0/7/TRiirr7a6yfiPJvz1B89IX3nlFY2P53+eDf851sBFwVrUfwgNpHNfRf379OkT8hcMA3jzzTdLnnWONnDdddcleqzGf1BZ0NZCbSsf4Nn6wV6VHeHQ4ChVBUV6/KyBuAxvpQHeeKgjuAM0ecJwhEOhm7ICBSYglA2qAGLATBxIJ3UodFNWoMAEhLJBFUAMmIkD6aQOhW7KChSYgFA2qAKIATNxIJ3UodBNWYECExDKBlUAMWAmDqSTOhS6KStQYAJC2aAKIAbMxIF0UodCN2UFCkxAKBtUAcSAmTiQTupQ6KasQIEJCGWDKoAYMBMH0kkdCt2UFSgwAaFsUAUQA2biQDqpQ6GbsgIFJiCUDaoAYsBMHEgndSh0U1agwASEskEVQAyYiQPppA6FbsoKFJiAUDaoAogBM3EgndSh0E1ZgQITEMoGaXlVkwEBNKUqoiqtFauSnBNpw4AAVsMaR1VaK1YlOSfShgEBtGhVRFVaK1YlOSfShgEBrIY1jqq0VqxKck6kDQMCaNEU4Ycb/yBx3XV/yzQiCRe0JlZiw/YvvfQSKULDYWABRncVTFVaK1YlOSfShgEBrESNDFVprViV5JxIGwYEMIarYKrSWrEqyTmRNgwIYCVqZKhKa8WqJOdE2jAggDFcBVOV1opVSc6JtGFAACtRI0NVWitWJTkn0oYBAYzhKpiqtFasSnJOpA0DAliJqozFF1889ml6KZtjtjkqmlUXOSfShgEBdF6vdbNyeIYbqzz//HMyKIQXPb63rECf+/FRdaEcP3izOc26ga69JLkX2fXXW1/kdSf1Vo0C3aok50TaMCCAcFYDVaW1opfw57j+vs34iSeeYF5NFwigaVQRVWmtWJXknEgbBgSwGtY4qtJasSrJOZE2DAigRasiqhIVkz5B+Z2NNtlJj6ir/EgbBgTQObjSfRqMa0lrLjoNRf955z9pdupMcr1nnGnGcuDVWHYndzq2fPLJJ8uHHx5SnnveH2P7cO2f4yxIGxD163dO+c7bb8sA8v/95z/yCTHKwIOyvv898eQTUhAfzc++m56WFOCBKN9DofvsM89WBnm70ODnu8OzQWGzhqWETE5VydiyVT8wXSCAiceUUJXWilVJzom0YUAA05AJpSqtFauSnBNpw4AAJhFTQlWqiiNHjSxnnHFGbU/UNuaca85gmOtG2jAggGnIhGKVr74aIxvw7bfvfvbZurVLarvyB4PQntdaa02Z0R2daJCvvvqKBiXdshRB/21q7+0daq3nR4Y8EvsPx6X/8843X2auupEZacOAEESf0UFJnW2JzerYh6qOLbm/zzzjzBKT845ltuCqLh7zfv7zvV2Z8ceGopyKNnPkWce0Fmk0JewcugckuQ315Bz3WKhHyYO7nEsctM9keehhh1b68xVXXB5UYgkNA0KQ1neWeKj/eeeeB9cCVXVs+YdT/2D3H74H44Ar0DfeeIOVn2ezIoMsN10ggDCugawyzzxz2/MH39d4CQUcVRc5J9KGAQGEsxqoKq0Vq5KcE2nDgADWxAVLVVorViU5J9KGAQFEsBqoKq0Vq5KcE2nDgADWxAVLVVorViU5J9KGAQFEsBqoKq0Vq5KcE2nDgADWxAVLVVorViU5J9KGAQFEsBqoKq0Vq5KcE2nDgADWxAVLVVorViU5J9KGAQFEsBqoKq0Vq5KcE2nDgADWxAVLVVorViU5J9KGAQFEsBqoKq0Vq5KcE2nDgADWxAVLVVorsoRmrOYHDBg63KGwAEtpUIDQSqFJBTHKKYHH0OEOhTJYSoMChFYKTSqIUU4JPIYOdyiUwVIaFCC0UmhSQYxySuAxdLhDoQyW0qAAoZVCkwpilFMCj6Hin3/xWTntNNPaw0lbl7byfZoFA001BgVYyhps/oGM/1puUkGMaje+lAOqgFY6mEIACH4KTSqIUl/Q+mu8Vh5/zrNIT31Q1LpDm6BD4REspUEBQiuFJhXEKKcEHkOHOxTKYCkNChBaKTSpIEY5JfAYOtyhUAZLaVCA0EqhSQUxyimBx9DhDoUyWEqDAoRWCk0qiFFOCTyGDncolMFSGhQgtFJoUkGMckrgMXS4Q6EMltKgAKGVQpMKYpRTAo+hwwO6ycabhhcKfYlsa+tSjh4zOtV13nIUHtW1UU4NPIaK7777bnbvwVpwn9P6j3pv4dk3WpY55uBBXtg7l4Tecccd5mO22WYt33zjTdH9ktaA5kEo3Kcww+a00051vsgn3AI6KaGOcgoqSM4mFcQopwMeQ4c7FMpgKQ0KULn8hQDqBng1r3Mtaqlu1Q/kBB3akfjQBYSbb1P8TTbdJMkx7ww+ZvQYVDmBnan/gAHZGqvU3vnTYPNFEa68coDMBuVrvNhii5VP07rmdYfZCKLU8issb+VH++/TZ20aYPkguCA9GBLsd04/9yVK7H+777EH6UOxLB95+JGyW7du5vuII46IUlGLuhyIy434aKvcb8UnVAGTSGwNASDz4uH7AWbCDRx4VVQwDPYMHe5QqIKlNChAaKXQpIIY5ZTAY+hwh0IZLKVBAUIrhSYVxCinBB5DhzsUymAprdRPfrK1XW++hrT5H9QFmo0gRjkd8Bg63KFQBuvDjz6kNf9PLeejAU20mxxeeOGFlfhvv/2W6offD7bh9qcDi+MX/8knn7LfH8ScYYYZUMQKRJm1akY5vbE2sAp/DPG7h5T8hWagTk2zv3lm52KLL0b7GDwZfNT5jO5ZeicNyHrf/PvJMz8ffeRRksKeoeJjy6/ouXiRaEP6nKeFFl6YPtHHILS3K8tPPv6k5AFHH+cnP/mJeVcENrF8HJOXI4Ad30vfeON1FCVCMtnmpz8lPb3/LLDA/MFJnc+Slr9ZU3ze8Y9/qJ6o1emCx9DhDn3hxRfcfaqt/PHWP051Q0nqANy0V3+1ax0ffs2XMEABQiuFJhXEKKcEHkOHOxTKYCkNChBaKTSpIEY5JfAYOtyhUAZLaVCA0EqhSQUxyimBx9DhDoUyWEqDAoRWCk0qiFFOCTyGDncolMFSGhQgtFJoUkGMckrgMXS4Q6EMltKgAKGVQpMKYpRTAo+hwx0KZbCUBgUIrRSaVBCjnBJ4DB3uUCiDpTQoQGil0KSCGOWUwGPocIdCGSylQQFCK4UmFcQopwQeQ4c7FMpgKQ0KEFopNKkgRjkl8Bg63KFQBktpUIDQSqFJBTHKKYHH0OEOhTJYSoNSWKgtmDCpwnoNcAFTu7ipQbZwL6mbhSBGpQ4cVa8BLqAzILSJj7xMWP7zz26XW265kOjoP818Wb5OD0P2cEQPYfzwxusxyUFmsPym2t8LL/6vPPl3J5c8M2366XUdWCkvlfP22/llLj2svAkbXMBE2LQ/WaeFczJh7U89pLlVCnkHTHWa/o+8TLz883qK2q/jTBd58UlTL9TEyj822ZhtttmSmTE8QIp7jPbdtpI3qcGB+B/RANH8Cy5g5b7iigF2/7nn7nvCJ4ehPtT/+WWNN8TwBzLpefEu1kI6GbR/3tBLBqukXlq3h2nAy0osiFFp9RxVrwEuoDMgFPn/tvf/A/FlBg0CcK75/xtvvjHR6o8ZbL6t6+ZVmvc//OH31IZ5gKGt5LWIP/xAB0THN/+bbLKRtHntQzRzjT4Jfp3WHvZHfoUPP/yItO9Rnaej9dTffecdM1tttdVEh/MxA/3xYjg+ySZn5k8QpS655JIwSKV9kXZ5p8+a3xd/pm/eGQEXMBEm+T/5lJNDeXHfaisfefSR4KLe3nur1wAX0FuQ68mg/2uJJt79P6thIGP9b7vt1uR+c/rpp5PO1xP/3XeHl33WXjuJz22a29+8888XfzuouFziocOGafsM93y0f/tk3VWW9avH2PJpWrvU+mXo/zPR7FE+Onv9rxhwZdZWeU1lWvojHH+g9Ur5D5oc9/vU3z/4QPsI5ICt4j9KazHrgKT2Bf5Dw9ln94NZLYzLeegfMdn+jjtuD7r12Vl//fWljJx/fv5fffXVVZ/UzUIQo6RPStnYhmJw/fiIGuqCz8suu4z4R/7vv/+BKCTM1/+sfmeL7s03DxJn5i+LnzhwhOkT70xaLzqWsaDN9m5ymhH18b09V8ZoQYyKxhlWrwEuYGrUxEdevp77T5r9tP2hJKJDhNGCGJW7MLpeA1xAU9cw38HfH5+Bpv2jXTTtH5nQjjHp+5/MWM2DauNMuL69VnBooh8DmiIUjJEiidgIQ1LlGgqaiAtoqlAwRookYiMMSZVrKGgiLqCpQsEYKZKIjTAkVa6hoIm4gKYKBWOkSCI2wpDymKOP1geY8HJuu2UHN9BEXIaXX365PfTgc8HLaMOZugP2IjPCkDqThAdNH79WwTHP//OfSx4gnnlm/ZQKD2cM76C1wlzXc1b1aGfie0+wF54RhnjVWhyaHam/dwT7Jj5lwJJhiE9VLQ7N70L++/fv7/q1vvw8OERf+iZF/R977DF9UaZ++dNtf5rkvzf1X3nBCfclxnl9PJQDyrv23VXKzC94P/rRj8AWeNRRR1l9cA+YXz7lxFVN1GsJaCIu4BdfjNSBISjUWrsmx3LTNaSFVWRDE3EBWYPXwsb9l+vPG33wbu/+gL3wjDDEq9bi0ERcQFOGgjFSJBEbYUiqXENBE3EBTRUKxkiRRGyEIalyDXXBhegTGLSjGWZuICRe0xpjYiWRjDCktKUArJ3TQMuDNGOVPr898MCDwmBkUW699TbySWpH678Fra+Its+wZ48eeakqBX/99TdovWX+jJrqbOVqox3Vr5H+9xZtNiODveSP298eMpu14kYYqCl/TnzUkUfJEgS8wdrf/va3eoOMC3vUG9DUSEH7AQaFClpPMvYD2CeFSa+KuapDYI+4gKYLBWOkSCI2wpBUuYaCJuICmioUjJEiidgIQ1LlGgqaHJev4UILLWztSTY3hEKNLbMSsRGGtLCKbGhy/FGjRpW7776Hxef2jPvfg9nAG3/y79s98JHyWTe8xjh1WDpjVfv/1LQOOfdNO8bhKhETYf2dyq7l1/vJV1TB+IfNotyGZoDybwzscd0BW8V/6qmn7DcVdb7ggrDuMZyZV/Vy2mmnuX6u5eL1u/mACeIC7rjjjqH8mpeetG5z3QF7lv36V79Oynb22WfXmQhPN7SM959ZZ52d1lB9oPL7zwV87bXXymnoD0Z1S5j5+FaZiFTir7feenZdFlxwoXI0LUvBB+oNaIZJAOMakoiNMMT0WiHQRFxA04eCMVIkERthSKpcQ0ETcQFNFQrGSJFEbIQhqXINBU3EBTRVKBgjRRKxEYakyjUUNBEX0FShYIwUScRGGJIq11DQRFxAU4WCMVIkERthSKpcQ0ETcQFNFQrGSJFEbIQhqXINBU3EBTRVKBgjRRKxEYakyjUUNBEX0FShYIwUScRGGJIq11DQRFxAU4WCMVIkERthSKpcQ0ETcQFNFQrGSJFEbIQhqXINBU3EBTRVKBgjRRKxEYakyjUUNBGXYWUpAFWCqnpJeLCuCVDPir4Eo1PkVC1UlmokvCZ+NWntcmIuBaNT5FQNVZZqrLHmWvYgwQ9i19PC9eM6+vbtW3kQGzpsmARPvaee6uInvIl8/T///PNyww03lPrxjB+u3+2335YUalLGTwIRkcQKwoQ3kevfxE8zkOS6yb9kwOfkMdqJ2AZTwoAKb4zR+lBrlgtGp8ipWqksapzy+1M0HvXLi/hzTtf+N998M+23/AJKZeGBw8GyhmP0e/31fzcdXvuSP12M3kvaaGNlk6P/77bbrtEBYUmZXPxEiYiXhw0reTbR99daizYKmc3uf7yxx6qrrlr2pRn7Vw+8uhzjX7ozJ0msIEt47cTPXAm5wQY6awgv0L2X653UP7dJYk2E+MgeuxLfdNIYeWSlp8T4PPiP9sd55nYY+0SsrWB0ipxqDlSWamDzKvar17GtvOfee+lT2G2s7e6z7z7pYI65jr4Eo1PkqBJvXCN+w+9fjx4LmzUjqh+sXPv7yTY/sfio/6mn8hIaZcmfXscB16JkvnigU/AkevlJZalGwnPxc9t6Wq03yDbh6d27d616EitoJLxOxmdX4odO6q82fJClGkoF3hQQ/8QTTwztiQawad3Ojz76SCorNaBTqEltAlSWaiS88ag/D2ry9fXtj9v3yTR7n4PD+2haBkb7U+hXof2PGKHlRQHbi8+DlNp3tN8zPj0tfxEPRAtxXfyoEzHW1qU/+FkUg4bc3+8pf7oN+ntbKf19rBu8jS4yrBr/yVDmeD8pSgysqna0YWdMXXrpJW7AU8s1hNZobu/Yb//9kvx25byQs9R76mFRWg5ErwnH6FK+9vprQT9Yueu/zz6/iP7D7z8vPXLCCSe4NU9jNMHoFDlpbKZUlmp43ghqy9Pwsmj87EP/jz/++KqThBN9CUanyEkUhVBZqpHwXP2r1nWc6EswOkVOVV9lqUbCa+JXk9YuJ+ZSMDpFTtVQZalGwmvyX01au5yYS8HoFDlVQ5WlGgmvyX81ae1yYi4Fo1PkVA1VlmokvCkk/9nAqquQoYZIFjyFOgrPCyr5alfotJ2eoYY08SkDPhtfR/4//eRjW7uNH3jaaMfgD+xTQ710UiZfMGLH9a74AZEWue9R/9dq9YCzc2KoIaLkqYlV/1NO4cGb+GDMu9vGRPuIjk2lmVjxUfvEu4U1ZJLVv4mPDLhcG2pIk3/KAM/O4LXTsE4h95ujj/lN0nSRzQjTHEZ+jjm9gK5Daz1yDP7/yiuvxG5Jpnvv/fMg03sMv+hcfsUV5vTdd96lteNok4lgf1W2puJ777+X7KiMF82rrqK1F60ohohfT6H/j6HdOk479bSyazdeUgSDX4ChbMyn8nGMpZdapuSyfFV5MXbeDTWkZXzRSNUsBzyjxspE8ffeay+TVRHnxFBDOhVfY6Q+qnHBcXqGGjLZxh895isaTKH1BCm/yPUxxxyDShFM6+AEGer0DK1fc7Fb0tbayg/ex3qomUshzVmdsMTAKtq//FabiSEVTwPpjwRa39j/eIM4PmxDOB4cojb/97//Xfjtn1wsQw0RU0+h/wnPCypBxpYLLrig9T8esNpr77p+4JwYasgExa8UqZbhYhlqyBQT/4033qABVZ7NzP2hrbzaNlGrrbRjuroaakiH6h+Xr4r33/0P2N/FUhSbvXFZ0f7f4eUsLKwhtfEfeYQ3r4rtn/0suuiiWZzURyZ0pOr5pT9Qpq7Tpb8tvNxHR9q/C0LrsdLyBXyvcvcrHVh15TRUkSsuvyJcT73H8e+/LkcSUmX6MdLBBx8cc8NtgWySmbxRVbD/0tIc2mY0xhprrEH81LGnnnjiyTArPs0/++B1Wm+6CZ/oe6ssaEI6PUMNEc1raRa9tBWqS5cuU8lMWNFI1RKveR0yoSOdE0MNET1Pdfb6u4AZ6rwbakgTnzLgs9HkX5uP5MQnJmtVadYqQsdwTgw1RPQ81eRfUyc58YlxGXUaFW6V4ZwYaoioe6rJv8uuTwyxs4HVtAtkutl1UGn7OtEk1xa6xtizPB49AVNp+zrQRb2itmCRNEXP8rgpGKLS9nVMOdyQo7ZgkTRFz/K4KRii0vZ1TLnT8XlTJ//guPzyywenreMn606FB9Zdd9uN7GJpBYukFdSzPG4Khqi0fR1Tbrf+55yb7np6e1g7qn3fEy9+LKXPUIp7HcWb+JyH9q9RzFqeLaFrjD3L49ETMJW2rwNdlDNqCxZJU/Qsj5uCISptX8eU223/UQvlVE4r37yOnX8B2oZm0ozryEsrdE0Az/qQZg7pC3pb+b3vLZGFGFuedNJJsRzhJfF3J9OspHDwZhnyEkT3oK0J97XjOFdfNVDtg63o0h+Ohr83XDz4sgSXDqj0+RdeKNeiGap4SZ1u2unKH/7wh+Xvf/972RCEfe7Sd5fywIMOKpdeeil7eWf+xhtuVH7yySfOpy9hiidKQmj89sr46aefyosnXs45psz6JXuxqzH2LI93Jr63UV/Ro2CRNFXP8rgpGKLS9nVMeaK2f/Waxl/b/QGA85z3iVS7Y/kfgDUXQzv115Nj8f9NN9s0riEZq21Ye/G33CpdCqBHT/0jaPu5HVs+8MADlf63w/Y7SEzewAdl4/Le++9/Ez96FCySWTmVrBGbHny1r6Pqn31KG92F2YjIXX+Z/e7cBdT783grzfZ1opXqRW3BImmKnuVxUzBEpe3rmPIkb/8xkmI/lY2FtG1ut+22X3t8LsU666wjbRDXfIcdtrdiSt7oxH9EwL0b7XXosKGi135uVXo3rdEtdu43pE+fPhYHiGpHj4JFEmqSpwG0ER3KojAdOOT6bEob5vGyCzUuzJdHVE/PmGWLvHD90xmraul9X0F/sESeYDeElgLwOj4e4zqwGgesuS4YWBW7zPjIXx+Z5PIMWsu09aHGvzn22MQmzVtRbrLJJuWLL9DyQOIoBhQskhbGszwOhe23395+w7feeut26w8bhuorehQskqbqWR43BUNU2r6OKTfxJRUxW4JF0hLlWR43BUNU2r6OKTf5l1TEbAkWSUuUZ3ncFAxRafs6ptzkX1IRsyVYJC1RnuVxUzBEpe3rmPJ3Lv82sNo6QVj41mkYakjMoGCt+CyEDFBNU0p5kKjMaRhqiDcgvBWf1SADVNOUUh4kKnMahhriDQhvxWc1yADVNKWUB4nKnIahhngDwlvxWQ0yQDVNKeXx+YgjDqcHl/BgRw9Ghxx6SHRhvqI+Y+fQrsH6EBYfCC+77PKghEiAyk6poCpg0re/c845NzzIanl1jVWUYdLH50jfZP2b+E3+O9L+Djv0MHq50L7CM1d69VoOnSXA1t5iplOdlFI3vMYiXiz3p88K7QjKl112aZg5G+9P++yzL6mNLf/y17/YfWvOueYseWMTPRBpLK37uKf5R5xVVlnFwkBfLWBH3IDedde/yhlm4J2PNT4vf/LRRyNM4fvf1wHoC/qH9etI8uBDD5ZLLrmExV1ppZWkbM67hrVz5+8/ukkJDW7IS7+W8YknHg+e04gpZcEJ6Xx87yXiiASokpSK2lNKfO4TaEMMey3Xy1fC4agp4LjrHzezidfS9z+0v2NpkGFc3qzxohGTwZZbbpWUvWcPHViFLy2pK29AedM67v+Iz/Xeaqsf0We4nydtjtsfz26FvxTWUUFVwIS3v0cffTQpI5c59oNJH9/Xpi7/LHfZTdWn0P731NNPyYw+bhNTTzM17ez+ZqgXagqo7JTyKej89T8UfTK0Uf1jByIp3HjjjV3b0Hvk/ffd5wrQfvxrruFZ2/H3h3E/gOscBTSNDzm4TOdrrCb+Q124/x97LH0pUnt4b7kCb7gVli+wcreV52ON1Vw9tL8rrric6pnef4aEtdUrJqE1H3zwIYkN238V1iPNWzyXePHFvyf6GLjlL1RYT2vj6mSoInaduXyoU8gTx5x2umnpD51/CH94gjGglj6lfI1i/DepDU8z7TQSowstU5DfQ6JVa2+x3qlOSkVP41N/r614a29NfOQGcFwZi9ff8mymhphoXN6a/CNngOPKWJN/zZTLl6GGNO0vyUCrvLASZIBqmFLeWefaHw2sZi6NNMRHSfBUAwUIKomQiEBj+nB0lCiankOiaoallk38JB85EeiO5p8HGuSBSh5aCvd5TX6FYv7xaSHs+EHp5WEvy9XraPzskidkUkVqYAmdE+3U/5xzshmr47l5VRJiAuLXVyr1nugEItXofP0T3+bUkETsiVSjiZ/kIycCPTm2f39NYydKKpCoXH01PgHmF5mi7Eq7gfMLU2KRE52o/557YuCTdt61z/piUe7817+SexOXZYsttqSX+DfKWbvParK/0YY6KJzP/wILLmA6uFcdczQ+4U4qEIMGbMSIEeWCC+ln9rPOOqt87ppYECEzWalM/S84P4n/2Wefl/vuu6/NAOI1nq33mBNDKrHBSDXMg4pJ+Ne//lXqhxfVGWi36tGj83X5Ui/IkxUYwWpgalmNH01IMyj7/FtBo6LpOcRLE3xyis+fO2sb0kEW/nSXZ5TpMWH1958Go52eccYZZRfagAm0QJqVKbtec9AkOe3Hz3+veRZf5kCrkZ15reAkPrX1XXbZtRw+fHjC5/Z34gknivU3cf2vkj+y8KAQX5s2+mPIjOWYMbrhTKWeljdDslpHMtX4brd/zmOSDyJ22mknaQd8/XFf/Tqv//nnn2/xuZ3++sgj7fN5XEUenMzbsC5bkdQG6glkDd5cKbVvky8pKskI7san/tLfZWBQf1/ZP/d33ngwiSX9/eZQpmr+Y2EpuIsvSwGQT/2Dm8awP/4FPTMITmTGKtu4/w+FzatUpRq/MmOVyjtmjAWwcjPy2OO0TrXzvdrqqwZ5a+A9XUu/8TPTWuY2sOp84fevD81g/uijjzOH3guJjDTE9PkPVyjjDjvsEFVFo1p/M2TN4G58rr/aVeNHf3UaTfwkYznR5F8aTdP+2u9F6KfWYXN1RydNjAwTOiea9vedan80sIojaQmumWQNBuoMUxOT5GzQCv3ZTCrOYtSIeW3B4TgT5GzQPjJ40TTlxKgRi7oBS01MnLNBK/RnMyEEWsqLUSPmtQVPTUycs0Er9GczIQRayuOoPPtqqqm62OyTLvSZ7Ed+Yf/URAxHjx5dzjTzzPYAwg86PXr2FJmPXDWNHH7we+VV/ms1H2PLt2nNq3/9667yPppJkGQjmqgqnUeOHCk7g/I6qbwzMR9QU+jPIqYZtvnA6h0uThJRDXCGY9AB5mzQPjJ40TTlxKgRi7otArVgw3MTnxPksxASJgBZUl7MesS8do2JiVNPiAg45cd/+eWXpX/jhYX7+EsvvTTR6z///DrwOTXNEvn44/STeQ724vMvhPuMDmZxeXipko3p8z+8AG233Xa1/f+pp58xHegy/Ld8sszXClcxYlZBQn72s5/JJ4G8VAHv0O4PWK655poUI84G8lee8cMOwyzHQmb5pz7gpT6+6ELFGxIO9nHHHSfxuV6cm7XlE1WVQieappwYNWJRN2CpiYlzNmiF/mwmhEBLeTFqxLy24KmJiXM2aIX+bCaEQEt5MWrEvLbgzoT7ROwPOgCBPgE1Hxm86DPlxKhjS928Sts4BkMeeuih8hRa9kLbbmz/vFHaCy++GN0SBs+t4tcNrPr4sE+cEvEp9ck8/uGHH15+Sc8AcRBIy7bbrruGcvhSeI9plPGJbxXzbghPPZXlsdQPcG0Y8qfauU5uNTHjI5ZCf/YFh5byvg3xX6R2OPXUPMOvKOeea67yC3o2Q57T2nKdU87EqD9vsoqBNr7uA2STxTT/N998c2jDcdDw7LP7UWlQnojplXFnUtF7eOx/XNf/3PcfpxRr5iPDe1SMnPiHlNjneT3T39HmW+j/HIfrxP39xRf/F90QFj0pG7TCsSXPJkZetP/yUgD0xz93xFordsUVAzRPbsD3YSpT3YF4fo1V9L+xY/UPGtCB/dFHH5Vch1NP003wuDa5LmxywRuvv176JSi0bum14TXbR48ZnZuSyzRKjKrYqFFflnPPTeu1U/353vYCLQGUmbQqlqlpBH82k3HG95qGp0VuyYaajwyeGVkplZPXP+o5rOpEhDkbtEJ/dr6a+D4ZlI2YNWCJAhMtBDkbtEJ/9h6hpbwmPvIRM+GzJThUMkHOBq3Qn70htJQXo0bMawuempg4Z4NW6M9mQgi0lBejRsxrC56amDhng1boz2ZCCLSUF6NGzGsLnpqYOGeDVujPZkIItJQXo0bMawuempiY2TKwir9iJC6ckaLu7GRSoOjAnCtCioluJg5kNHfKFVQZcnayJj4lIyYwSzDLMlYNGc2dMqGD3EMnPxjxZ6ui4dTy/PPgZ/7Qtvsee9REjSyOP2LEx2X/C/vL7tn8qd659Hk+1+uoo46kz2+mtRejzbfYIqvT2PLLUaNKHkRYeaWVy2lJ18fvtWyvsh8NnLZ39Ot3bmJzB6+x6uqoqDs7WV7/NA4pJrqpFFSr/JtckCY+p0GykOSUiJhApCxAlmWsGjKaO+UKqgw5O5kEiA4y76SY6GbiQEZzp1xBlSFnJ/um4s8191zJi9Ctt95aU1cqaFLW8a//4489bn3++7SmKxz5+n/+OX1yTPel6n99mZqbyjjclgBIY5911lmZXRv9QWgmmtE5WhVduRWN59tuvd1ecE888QQqWlB2NuxkjTVWlxgX9O+fBg/UKLpvye7VVIcZZ5yp/Jg2CrTD+YqRQxacTDgt4m+33bZaR5mpV5Q86FV3RHPnuIK6UjhZe/FVVhcx5X1b4s81J/qEtr9bb70lXLC0vjk1rvrzwCoGJjBY8BB9hjuWDDfaaMOsHRflsvSbx+vrjm/+eZa3/83s2ZNmrLpr7K68soPsmWeeqcTm2ex89OixcJRR+5ttttnKj2mWd93RXv25jq3iqy+SRgeZe5aV5Xa0LqK/R/wy6wfRXCOJkwqqDDk7meY4MBI+eyFGhZcVkbXM3ClXUGXI2ckm9/j7/GIfuldqf7jsssuqlZ+E9e/XL8wmDfEff+yxSvx3332XlrOgyQP0BzC0kd332D25bi7zejld/tdffz2zY3veDGv0aDcb2ulWggdGfv0xsOr7/BBaQoaDb7jRRlpWN8C57DLLaH+vxCJGhVfS5lVYCiD+dl5wQX9SdcoZOgBLAcjvLeWK4vMaq+21v4MPPkhzE/LP+Ymz+GM2uP68hjryz8//w4YOMwUtijsrGuRExAQKj9e9XWGF5c0f2h/8X5q1w2juHGeor//ee/3cytZe/VXmVFug4xNffJG9FMuVrYlPyYgJzDLMsoxVQ0Zzp1xBlSFnJ2vyT8mICcyyy7KMVUNGc6dcQZUhZydr8k/JiAnMssuyjFVDRnOnXEGVIWcna/JPyYgJtOy6GavGUyRJHrM8I/wEe5aZu59nkxsS3Dja7DKkouIZTXzJhk+JpW/i5T9du6go9z/ggBCldf5PPOG38kDjHwov9w8yWcEH0u7YW221VTld1+ncy2NbeW6/c+hz2f3iw5E80OmD4FtvvamtkXy9+vpr5RprriEPegsssEC5zU+2lo1q5uG/LjsbXl/rk09p1lsWnyskM1bpYQ5lvv32O9LmLrX2yW5dfzY0zSpSGz8kNQVmC7ZnNPElGz4lSFOT/6+l/W1LM0Glv/ALHv3/w6l/CFdg4rT/U3h2TnjZPeFE/ozYX+zY/mefY3aJj5k86MMM/34ddiJ3tqHh8KYW/v7A9j/+8Y+tFSXhhBt9rLLKymK7xmqrl2NszTiYxvqvTnKOkcwGCvGhzRv9yR+DKP7FF10EdlrdLL7dY2KRop1r/0svtXRSx1tsoK/W0PkgtKLiGTH/qRFTsf7Rh7MV1NFVB8qpqHjG5BmfZ0f79vcHWtevUplO1F9nrMZBEG5TD9KMVc7vO8PfLeebfz7tA8RH/B1oMHF88y8zVqn9wbZHD/rCxKdbKuEZmv9/0O+k9DuyRf975+23xPSHP/hB0va4zL/97W+DX+8rpCgHpLLddtuX69Dnu3p4m45d/6WXWkrLwuWkctx6y6A8WpX24UTqGR2LnyRT3Hhf1dCVcBXGlBP/o48+Kufn9kl5n3+B+cuPPvyIavP11P8XP/+FtUH+smDkKJoxW5N/3myQ2y/a/worrFhTRF/mmP855pwj9gGq4xabbxZrZyaG1MbPW4BtVucGex/igVU6eCB4vvnmlXpJeUPf29425gplY2ULa4jwnn7qScsLXxf+b0sBsB0fzoRJW2M16LPNkNoZqzH+wQcdnMahsn41hpdHSZ0//vjjSf5XXpnWOU9VMhuNsSNtlHfEr47g4rlDZbxJ1nnnnldOM43OmJZ6hv6/4QbrO/0WqIvPy/4sQG2Xfcw333zlhx9+oMVzOtFLrH+sg1MU1NHRMMUqKp4RYniWWTfxLS1VJLQrE1jWKkhFxTOa/Es2fEosgU37s7RUkab9tW441oIEsdyB7RmTf/9zA6ta8LT4oVKemddaZNE2VY0UMECkK0KVeLnhhkDbMQRVms9OklDgA8JThCrxcsMNgbZjCKo0n50kocAHhKcIVeLlhhsCbccQVGk+O0lCgQ8ITxGqxMuXX3EFetiMf8n/3e9PCepOS1ClR9O6Zb3pU1x5iKGHEDyoDhs21MrlLMXXRhttTIvWL6664cGH7Vag2Pyw25Ne8rrRGo54MGLZO2+/Lbav0uL2c8xOD7bE+xmtx/gZzWCD/w8++KBcd50+IkM5DqCBYchjvUuaHXtOEh+bV5muIbByDEGV5rOTJBT4gPAUoUq83HBDoO0YgirNZydJKPAB4SlClXi54YZA2zEEVZrPTpJQ4APCU4Qq8XLDDYG2YwiqNJ+dJKHAB4SnCFXi5YYbAm3HEFRpPjtJQoEPCE8RqsTLDTcE2o4hqNJ8dpKEAh8QniJUiZcbbgi0x5aXX3659W/uf1vToCSrpaqRAgYITxGqBPKVVl4pvGy1lQ/S7uPpAa2y7L1c76SP496z4447kknUA8aQlwuZfnratVzuN3p/43sEb+ABPY5nuCFlyZ8b8owajnPJJRcHJVXgs1MtV19tVdHr3z/69XKOwQe/2HP8tWhmrpcbbojqJ1FEpgp8hiov2dLF3U+7Tt+t5Bm+kMNThNEHeKZrSEXSbv1jaSJWcQWXoWRebrghUHYMQZXms5MkFPiA8BShSrzccEOg7RiCKn0Z9Qm0P+0TP4KBlctZmkwRlXg58AG8Ize1Dz/4w0sByEFK99xzdzl1vv4i6Z915hkWA74ATUAID6zKb2RoLz170IxVOkzXEGGb5NjfxPUp2X7TzeKg0kEHHWT3B/FNcv5s+b3334eTDGoQhOp3Tj+p7zY/2cYVBCbQQlGirZOIkAf2urgZc127aT+ApwijD/DMlyEVSShbtE1VIwUMEJ4iVImXG24ItB1DUKX57CQJBT4gPEWoEi833BBoO4agSvPZSYwaNOhm6xd70hIq9Uf0Abn5MqQiaZl/fvVarteyElfvrd8X44or4vJMWt/+uS/xAKbpGpLGf9ytC4o2fmOyFng0BAYITxGqhM9X8mf33BfpP56/rb+T/J6775bP0RGT7w2Mn3HmmbHM4jhGA8ZQZ6zS7570d/39k3XASQY9NjecEFljVcqjv30c82GesSpKqslnxdi6LA8JM1Z9OXld5vw45phjkvyfGv4gZb4MgaUyVqX9H/j5HxtiMTdVHVvedddd5Wy0BrrcP6nMDJdcckk4clAtvT3wvffaS+2p/jfdeGMaRZSiLWzUcaSAAbrAAVWJlxtuCKwcQ1Cl+ewkCQU+IDxFqBIvN9wQaDuGoErz2UkSCnxAeIpQJV5uuCHQdgxBleazkyQU+IDwFKFKvNxwQ6DtGIIqzWcnSSjwAeEpQpV4ueGGQNsxBFWaz06SUOADwlOEKvFyww2BtmMIqjSfnSShwAeEpwhV4uWGGwJtxxBUaT47SUKBDwhPEarEyw03BNqOIajSfHaShAIfEJ4iVImXG24ItB1DUKX57CQJBT4gPEWoEi833BBoO4agSvPZSRIKfEB4ilAlXm64IdB2DEGV5rOTJBT4gPAUoUq83HBDoO0YgirNZ0hkYBWEcc3eJFEUWdBSmPNraTADTEEsFTxjii3RsIwIlAI0hfZoKKWBwa34/g7Hf59egPwLCT+QyKeklqxq/g//5eHhAUYf1njGGc8ilUPsYBygA4cffkTy8MPxdqLBEf40l3cH5XUTu3fvXh6wP2bNluXOO+8sNksssUQ5auSXaYHI95NPPkWDILEs09DutLzul7WmEJ+XCsDsOI7L67NqmYNCtDBTVXDnqKrMWhrMAFNQ9f0dbn+SxKb+1sDQcir3KGiYQmDU0mAGmIIOtT9+8eQ1l7m/8P955p4XJVGIUOAKDWYaGFzUjdemhF/u8/z5YK4Dt5tvvnnQbbOX0Hnnna98/71sAEccqJc77/yn+ccgKff/l/73EtyGOlhUi//Xv/zVbF999dWoH1WDbUnLmqwmuhfwjssuviU62Jzy+9+THm2qQ4O9yTEB7f8Onk3o/ii22aabk2sUMsAURDEKMQHxLZT5YuTbHf9dWnZC+4T+5swzj+sTUvXO1R+fBqNPMPQDLZzZk0482do/rjuvb3k3DcLI0U78LWhgFTbsu0cPHVi1T5zIAUoO5MsvvyznmWcead9s06VtqvJpWhsdxzO0hrF+Yo2BGM3JsssuS+sx/0/VgtPcN//RhmcY8gDX888/L7q5DuIYNIXACfQdd3A/4DJo/M1o8NdqE3TM1BD4iAzDDLHIiuT8WhrMAFNgxTLP36L+t9OO+qzG1+Kf//xHkjNkBW1rYtR/4FW8mRye/SjmP+4kt4iUJv7jTz6RDc20nWh7vfDCC0kd+tHSXJA3v5kRx1pqyaXIJPUd68IY/KU64EJc199lhrpzcdJJJ1nfQ/ueRvr7YNaKoZQKtEZ6ys1Yxe8fLwWA+DDx9b8cf9yRvqQ50qUAgrZVItIHH3yIK6NeC10KIK3/9+j53V8rrE3t45t7Q8oSG+vKuuiOLyVw9GmnnZb4X2klmpHMR9AxVUNUzPH/RRtk4h2CN6yCTdCIoGIbRYKJHEoBpqDqG22JHMAyInX+Hc8MAk9oMANMgQsCG+g7UWS5YITm/FoazABTUOMD+k4UWU18n4E8L7U0mAGmwCU5OG7an2UYmau0c2iYAnIHgaehlCYe3IrvJv+WxJY5goYp+HxDSFDkUAowBRO1/cvAqoR3F9EVx641iuRlwKMsYpABiqQidowmPlKVQGQIMBEGIsoiluuJpCJ2jCz/1/397/GhSP6yXZSLLrYoNT5n4+KffPLJUZ8eMvFX6k033VS02Or1116nT3d+5YoWfV0f4sFuMZrF+sUXX7Rsf48++ii9zOnAzlm0M6se0R+C9OrVK/xlXh8Gj+fPEe1Qfb95Fce3gVXSg0dAM3VIlEXMiQUVSUXsGDV5ZUNoAOZ+vU7UrmqJfcWJYzTxq0kjDjIEWKcUZRHL9URSETvGFJh/fOqOF1Kemd7q6Ej9TzjhBLuXbLTxxuLSZSoJ8YtfxM89UY6bbsJOyVHVx9+nxmaB+eePyg5DXMDTw0vazLRB34033FjecMMN5fX0n+ENN1xf3nAjwxtJdoPMxOcy7bPvPqpzveqxzPRJ97jjeJMpvT/la8IiLqArmqFRFrET6D4Hnzwz6bw//jE25hrLuvs6q8EjoJk6JMoi5sSCiqQidowpsP2jjrEWY8vVZJZy/P0bNmzYBNf/igH5jNW2ZGCV4/OAxQb0iate8xh/zjnnLF/834t6HWNBQ9GV4Tev4t+/GWeckdZs/CyWm7Dc9K9//asbyC3KPemLkVxrww3D+q/h+QHtcY7ZZy9506AvvxwVysGmY8v33nuvPPywX1q7PeKIIyxuHj8a+qhVLV5+QGfmaf/6I/cDO5z+t6T9WdUyRGrqqqtix5jE9efBS17vntvAiiuGgS27ulSaFvE/pBnHF150IW0WuFd5yimnlP+l5778iLVQ7MsvR5eLLbqotaNtaa1pkUTF4CIycL/E8+eKvJ8AlQkagIjNXz0stOBCFoPrdSHtEdDqEPvciXknK1d/mR0afg+kz1D/yTdI5P6+4QbV9ZXnpKUJ8s2suEw+Pq81i74IeMH559cWHUW++JJLwgxa7kc6SDr4rsFiAx3fE1mw//77axzX/8fQV23xGFs+8US6LMFKvAyDO+Ab0InKVVfRL0J22323wK7TogkWbiCZ68sTNvRw+i7/PgY/f/D9Y+mll0nXQHdK0UvEnFhQkVTEjtEiPjQAc79MR1nEcj2RVMSO0cTPUyY0MgRYpxRlEcv1RFIRO0aT/zxlTf4pA2ghgHVJirKI5XoiqYgdo2l/ecqERoYA65SiLGJxYNVbRLlyc9p0q4Iqx5QjQkrxkSWyDcud5HRLxdgQTaUOaeKPM/8HHHhA8vAlD5z0gHHCb2mzFjvGliM+HlFuu+22oovPlvCwxg8kPPCBo2/fvrSxxrJykfLrfzttGKV2+tD2m2N/A7Pai8rrr4k+xdh9993Lc/r1o//nlGcT7If/9Dkhz76x8tBD1cY8UJNdf6yxivi33xZmrKIETftDJjJYTUyVk5kwmeW/opE7yWkzqAqqHFOOCCnl7S8KCcud5LQpVwVVjilHhJS+DfGPP/748LKlfXbgVVdVUhcr7bB26v/RRyPo073ZbDCEl+9o7XRsefLv4kw9vv/03WUXF6iK8kz8mWijKL43+fvVerQJiR35RXT0YYceltynvB/vD/cmf+9J8Cw++2G5vBS7eFKmnG5Z0Jgqvs/BJ/vlXevtIH/fhvYXa2s1a91UooqYTar68x/u7DrTNb2K+kTl6GD+//THP+kfKkMbYf/6x4O0Ybz7zjvlPPPq+otShqDPv4Gv0xIWdmTxscaqllv78sGHHBzHetIwNBjyRDknNuqiGDzTGv69Ku+OrptJatu2vFD5uW1O3236cm1a/mIP2txyM1qbcvrpp6fcafzey/empSu+0CJ7p1YJRqqCnCP9gOOF/9IPSGlSXf88flJcEN/R+EOHDi3nmGOOco/d9xjv/OOPTnj+5OvIz5FvvfV27fXngVi75tTGeBD3s8/0jwRIPzeb/Prz+qv85RPaH7dP67s1F/W0007XNkV6fN/nPyKM/Sr3ahFTpCa+V+D+7u/dXOebkyUGVPttWhJrXlpvFb87gJX+7p0T/o87/lH5/Tvr7LOiVl5fouUPilRX9CPO01/+8pdoEzBvunPfOEsZdjzI6fNvs36D79/9jpYb807Yb06HWLLWOdnxBIv7779fuHWqPLsf8RlecD4vzVOnGRw70c9o6YrZZ5u9HEpf0VQPp1g1raqDQ2bjG19MqmFaRmupitgMm/hN/sez/UuzadmoqoIqxze8gDftr2l/3/L2lw6sSoN3HaHFKLZpuF6kqGOwEkiBfAo/J4EPsfeX8Jr4lppaxCVLUcdgA5AC+TT++ecBUP3rvb7o2IMJPcjwLNQTaVbZzjvtXM5Os0/wMHrcccfqWm/uAWwTesEfQYMlp59On+MQf++f/9zKheJxUfXT1fjgdu6555Ke12CteNiGFPLCFMvoH8C5zFqH4JfiL/6971Xi88AqHkrZxmasthNfSuKKp6hjsAJIgXwa//yrfzgQqnpyYkUdg7VBCuRTE99S4dLDqZKDhCI3OqHAjdCJFXUM1gIpkE/frvw/POTh8MKi/e9A+mNMcnSw/l+O+rLcKSzvgb67+upr0My2LxO3RpB/nd2j8eeXjSU+NHGe//feH172WWcdu1/5l1fe6Gk0zXRCkcVJTf/nP/igbAsusGC54IL8f6FyAYa07MlCDBdSPvS6z9JdNnCZb/55ZeCLl02YmzbXm3PuuWiAag4aUOpm95+naDMrO2rim4wRV1hFcR5bzhrWleP73zI020aVv13tr1X9LUfIj0A+Tfr6P/ww9Qn3+3fQgQeG69S5+F/RYE1c7oJ+x4Lv3XejWVqonzWFseVgWlMQOmh/DOeZZ+7y7nsGq0mwg7musRp/Q1mf/29Bn83/979xJ3WeJXfX4LtkcAy/qzxwOmjQLaEo8BiuAJFXXnmlte1YrhDL5cn//i622GIlDxq19/svEVw4RR2Dc0K58+srLrPs0rX1D6WVfCYeOtn/vL9YTvY86dufxWYElRE4ecT/L82WfHmY/pEHxbMyEyPhUf7XX3+D8BsTn+G4bXan9XrPPefcEjMgR9FvBC97sSQPjoZ2xTM6P/yQfg/EKZ/az//9991fzibPsxprZpq5/cgj1Rmy/Hw4rdsUie//7w4f7hIeaoTKjGd8LievQYr+rn1M+8pu3N/zg/R5DVE8f3NexIbqz8t03D34brXI4u+3b3Um6bY/3VbyJKqI49r/D7AZXcgtx9mY9kfAoXbRmmf0zkdL8uA+IfcUsj33vPPsIrP2UkstGX5PtZ7Pv/ACXJJe9BeZEVuFNrkSvzTIy8sJPPfcs1HIGJnzJlbr/XA91aP4q6+xBv3O66zZinfW9x4o/iuvvEr3wP96bsSdsqKOwVogBfKp/fYn5Y3eSR0OPNPhTqyoY7AaSIF8auJbKlx6OFVykFDkRicUuBE6saKOwVogBfKpyb+lwqWHUyUHCUVudEKBG6ETK+oYrAVSIJ+a/FsqXHo4VXKQUORGJxS4ETqxoo7BWiAF8um7k/9CsoQECKGnlOUohzr1zqHwBei8pCxHOdSpdw6FL0DnJWU5yqFOvXMofAE6LynLUQ516p1D4QsweOH1EwtbmzS+zOGBFQ9J+lBDfzFF9orvAAAvBUlEQVSmtRZ/R7t487H66roTNh54oMMPWLPQAMNbb70ZohBAXIJxxqo+1J7DA6t2QFFt+GF62ummDQ9VRXnbbbfJAya/VPKDJv9XfHCAkX7uuefMK+Kf0+9cexjn8vKDs4uoQWGVCsDtHIQvQOclZTnKoU69cyh8ATovKctRDnXqnUPhC9B5SVmOcqhT7xwKX4DOS8pylEOdeudQ+AJ0XlKWoxzq1DuHwheg85KyHOVRevCf182Q480kOnQEX59+8pnMPOXZRbhfeLjY9xYrjzzyyPLqa6+J94wQSF8s9Z5x6y23VMK/Q7P4Tjv9dPoj0E66YRX1b/advPDxLDl66Vp66aXLww47rDyPXv5epnWd4xErffFFF4v9LN1nsZf6qJdiffrwIC7NkOE1VuuO4PbmmwbZ/UcGAkg3RmRDRzm0ziXznn322ZBHfVnlT6prD/gCdEopy1EOdeqdQ+EL0HlJWY5yqFPvHApfgM5LynKUQ526ofz5cOwTbfS5ajt9Ar4AzUtZXjVwYHnooYfqchJhMMP//k4z7TTl3nvvLRvv/N///Z9YPk+/bddee62bJarXP7b3NhqoWk++6Hh52DBrVltusZW1P9/vgC+1zFLleuutV846O80kD/2Hy8KDN7yG6bgO/oKk63TTkW1eHu2Lwg91XG211WR2dZoSRzl0XHGfffY5Ky/39yOO8MsQkTV8ATqHKctRDnXqnUPhC9B5SVmOcqhT7xwKX4DOS8pylEOdeudQ+AJ0XsDijY2s3aMfcBsMOP+BauWVVy670aZkuKfzzOff0MZqY2QHeuc0RxEEkOQ8o5n9oZ13pY1Tj/j1EfJM+Q9aG/YXP/+FbByF+KuuuioN6LlnyjxGezTiEhx4tevv6GOAVFfe3X6vn1N/v/SyEv2d4/r+jvqj7Nyv1l9/fenv/7rzTtps8dKSN3XkNUNTXf3923rrrWk5gwtpMPkR6Rq83BZPOuizbh/NR03+eePFP//5zyX/QYmPe++9tzzxxBPDMjh5f2+jtZOnkhnH115zDW3CdU/Is8bv3bu3ZQupUYajHIo1VlHf6akNHH300bLMzn333VfyWrXLh810ub48AP7KKzqoL37hC9Cix1tDe/GdeudQxAV0XlKWoxzq1DuHwheg85KyHOVQp945FL4AnZeU5SiHOvXOofAF6LykLEc51Kl3DoUvQOclZTnKoU69cyh8ATovKctRDnXqnUPhC9B5SVmOcqhT7xwKX4DOS8pylEOdeudQ+AJ0XlKWoxzq1DuHwheg85KyHOVQp945FL4AnZeU5SiHOvXOofAF6LykLEc51KlXUB1YrbBrrGtYYiZ8JzTUkNrn1yitBCdGjbSG1cRHqlxyDDXEshk5tRm2CzFw4FXJg9dKtN7UySedTAOoU8mDkH8o+97iS5T3/Udf7NgBr7vEf/X3Ovzg07Nnz/KJJ+kzoHD4sjDrDhrMZD3YnZcMrJKCM/gfbUCFhyl+eHzzjfQzRw0RDYABstzjOmM1Drjcfvtt6sKfvUGF74SGGmKxIieN790p7jWDtIYlEuE7oaGGNPFrUhizE4QJqJHWsJr8l+WhhxxmfZZf/j75+JNKtpE6QFbwOM/2wQwg9H9A9HOmF164R/AdwYsv/E/i83IgcphjRQYPHuzuFRjIiS/m3r+//9hnoAgV/MpmFlQW1uWXN62IBXUVG1v26aMvpOeHgVWnldR/f1rugOvHs/+zSiC68xtZgolT55nQ/v0vtGvC5Xzs8cejajB3FplDJmukNSwxFL4TGmqIeYuc2giuHF4zsGtYk2v8Q2hAFO2X+wSvL8mHr4LHRZicxpaLLrJI0m7Vnw5UwLe2XR68XVmseUBDefF3FHQOr/nbtRaRN6+CT4Y9eixcXnrppTIzFXY+Ps8C5dnpH3zwQaiUq42hhki9hw0bJrPRsREMBqbgfz76Aw1vWqWztKKtFbKGJTLhO6GhY6kf9Ld8cBz0A7YzNQvgkRppDUsshO+EhhpisSKnie9z4TOveJSOGjWK1lf9Wdl12jgwj7aqbScOEs5HXyzwHyPe4tnOlvWIRa+RV41dliNHflHuu88+OoBK7Ybj+PbPeNeu05WnnnpqOWb0V0msGDZGAwbIMT3O9CKhv6NugOgfPj7+WKP9PdYfurG88feOZ7x6ed7/EI/hAQfsz0WSdZNh4+NDV2Uafyf6wyUfm2y8ictXjA8/BmmQdvvtw3JeIb+8IZceeXaIW8PigdU5Zp+z3GrLLcpF3Zq6HMOXsQttgsftAvdhjlHjTkPLuUZaw4qqTmioIRYrcpr4Phcu8QGtkdawmvxTBiQvLjmGGtK0v5pWFbMThAmokdawxET4TmioIU3+v4P5b9OeSR9i0S8RH/yrGFChPc/LgAOacgXxGh6HYkmDu038ySn/9JlhQS85oR20FYf+8rCC1lgqnnn22eKB++8v6CWp6LnIIsX311qroE/rK+2FZokVgwYNKl55+ZVihhmnL9Zcc62C/rJfTDfdtHTRq62Lr/8//3FHQQvFk5gficqClgIoaPF7aSRoNYD0V/FinXXWQQMqBg++u1h33UibILFmAh68Rlmcc855xcEHHShSjn/7bbcVG220kSnBCtB78jwzSBCv4XEoNe2/6f9T7v3v6WeeLZZdZhlqzNy2i2LgwIHFdtttJ7iefJv3OFSmrPY/8osvCpqRWIwYMaKg9f+K444/vnJHQ83WXWfd4p577yloxmpBswuJXV//xRdfonjpfy8Wu+y6a3HpZZdV/MEKkP0DB0RMhrRUS0Gz+MlPW7HSyisWQ4Y8HMR12lNW/vHrgZoA+vqnuNfwOLQmfv2feeaZYhnqE5x/8u76xNcTHzVT6GN6HFplseWWPyoG3XyTtCn+/eux8MLyGz9q5MiCZn0WTzz1ZPHmm28UtK5qsUjPnsVa9Ls/zbTTUu1iO4S3KvQxy2L48PfI57MFzbaTPrT44otRrnoViy26SNHWpYu1a+8HHgBZBhzQ6wPfbNPNiltvu1VImoVI/eAhwtGCoDXxrz88K/Ql9Di0mvjj8/v/3nvDC9oUsHj9tdeoLb5ZjPj442LW7t2LOeeau5h//vmKPmuvLX0OWY3Q59zj0Gid//eGDy9uvPGm4tnnnyvoSyt6fu1a9F5uuWI5+t97+eUL+gODtUN4q0If0+PQbB0/amir9dbAAaFbhV7D49D85uL//ve/Lx555GF5/+tC3fIUohdZdNGaHlpf/xdfeKGYeZZZinnmnlsq88knnxRDhw4tXnrppWLYy8OKbtN1K5br3avo3Xv5YqaZZiKdyav+egW+ufw38TkDTf7H5/6b/9ajJwFqW6o7ew2PQ7fJf5P/Kff9t65FS8uOA/VhhF1AHG23v60Zy5Bo2gHMrAkxXOwDJcBLPJ8VvawDgYOqWRNiuMgCJcBLPJ8VvSw47QAwa0IMF/tACfASz2dFL+tA4KBq1oQYLjKleF2yuWntP2oc+rkVvRvSy4lTTq06WgKzJsRwcsKzRCWmPv2UssaqK1dUHlu+8Pzz9DmTPCWJzRGHHz7exbCYLv659LmTj53OWA0W3nC8o1UVvRvDK/X0koAby5Cq8/HgmDUhhjfxKQMhGwJ8ZjyfE+VlkrgOncyaEMPFQ6AEeInns6KXdSi0jyJuUk8+jpd4fn38NdzyHz/ltdraOcwzIYaLvo/jJZ7Pil7WTqAWIrMmxHDRDZQAL/F8Vhxb7kMb8vH9ZxZa5w/rBdaF67OOzli9oH9cCsA8E8I4f0ZJD61y/+ElTbRQpiXxxLexDKkLWfLmX9PSZ+K4f7N/f5g1IYb7AML0koAbyxDvdrxxsybE8G9hfFkSJ/xG/XTbn1p+rM6TUf23ohmr/vePZ6zGI5TYFzwKO4x5N4aLFx/HSzyfFb2sdfiPaBMjWy6IrsOf/3y+jyJuUk8+jpd4/vjHb1Uy80yI4b5kwvSSgBvLkFYh2uWbNSGGN/EpAyEbAnxmPJ8T5WWSuA6dzJoQw8VDoAR4ieezopd1KLSPIm5STz6Ol3h+E7/Jv28bTfvraAYse4QY7numML0k4MYypKOhfZSm/1Ma00wGSoCXeD6n0Ms6fgnMmhDD/ZURppcE3FiGdDy4Lz25ST0FSoCXeD6H9LKOF8GsCTFc3ARKgJd4/pQTn2as0vTAmoOZyd/2icFvgOCxFb1cyqG6zgKoQPqLBFnBzlsoXn+GC5MSo4k/6fM/ZMiQYrVVV6NrxlegKKaeeuqC1v0rZpxhxkmaf1qrraDdXEM7aSv6nXtOcUCYsSoFcdefNrMpunadnv7S/ZWI5p1vvuKN11+l9jiV0FJ0bnDSiNL2R7uMy1+x9/oZzyDTg2fHHnjggUKw2e2331FssNGGaZt18Vmxaf9N/2/uf9Jligsvurj4+d4/kz4xwwwzFO/RrLSu3brW9j+1kI6paItzRWMy6n+0K3qxwgorFWPHjinoc//iLpoxP1UXrkjyg1is02ed4t5/31vQUgCUn3i/CYmRmXsrrbRy8cUXnxfbbLNNQevlWTY6W3/aqbnYeeedpXN2oxlWb739Js3q6Y6SBf8V7xYXSEVjMso/l3Fyv/9edMnFxV4/+5mkc3rqE++/R32iK/UJOSrZDfwIKhqTMP9bbbVVcdNNN0lwbsE9evQsXho2NG0zkzB+rHXEJrT+f7mK+sFO1A/o6NqtW/H2W28V9IeQEKDiPfAjqGhMYfWXiyeVSJ9/tIaV2sWKB6yi0dR/kj7/5hegyb/9mlqTbd7/Yk4m99+/5v5DzVY6cXP/bcZ/mvGv8GbU6uki//mzIRwTTGnPHzJYTKewXxdIYvhR48gGVtGHQCBsAYMQJKAbs674a+InGc2JSr4SBSQYcPzz/6tf/co2BqDOUK6x5hqJZxATO/5tfsYqzTDhWaTtHbzzNg1s8U+X/L/44oudOuoNqKLLaeF/+sEv//qXvwZdlfMaq/DDkDfSatp/mjuXXEEn9vWv+Gv6f57yhK7kK5MqmV1DkIAT6f5Ln+CVNKBqfeiGG64PpbFAaXGMbcgU9/tz9DFH2/2HN9biTYvioXifPmtLTmzzKqgQHE7ryi6/fG+RzzXXXOU7774TzRlL/KUiEbtr56U//vGPw3Voo01CdvYi/pHXA9AYLDJm0Mno1FNVP5HDFjAIQQK6mN+2+J9+8in1iemtT9x4ww2Tbf63zGes9uzR6fYXGk92wTPya7j+P/7x1pb7vn37tiiWFaTanjvZ/1oEasFu4oeW0eTf3QslJ037Q9OohZXfi0QL/QowCEECupxX/DX5TzKaE5V8JQpIMGCTf8kA0gHYtD9rNZX21PQ/y00dUslXooQGBhiEIAGb9mdZq+RzAttf4XLrghiavDDa9YhiwyqyjJGRYie8GoFn+RdWz7fAAanIMkZGNvEpA5KTLDGLLNLTXkh4EJIHDXBkqmALrMgyRkZGmyC44/Y7Ylwa3MRSAK2u/6677moDGzwYOtPMM5dPuc2x8nZ940030c6xXctevXpZm5bQdNLNq3RjEPZ1G22khaNVfMgBK/XLGBkpZsKrEXhWEz9mI2LIeoQVWcbIyCb/lAHJSU1iPGt829+etMEI/yGG+0/fXWggwztBrHi5pvj806z5crXVVrV71oYbbVTS2n+xhlT/dbAUwAX9k3TcTveXuHN8UV533XXRjjCfuvHNP9t89umnsjs237f5Ovzf/7d3tTGXVdX5wDAjVkFATTQgWhG/SBsrQlLBjwJ+NKUBTLQ22haxw9j2R42/morBUA1VG+sPbS2Q1ASjDqZqYbDoqA0Fa1Nt1FIQhkGs0qgV9YfFQYeZ273X2s+z1tpnnxeRdz7AdaNnPet5nn3Wvevuvc9571ze98YbeF5/TpDCDQRPPZD6OK9Ef5JCdKlZBoKnHsr1N2/+wzY/Dlm9Fh/uuSbJ6/Qvtmme2h+vv36wWr5Twbn85KeUD1bxXNwNpn9e0BFnWkd0qQwTbiB46ud5/f93T1kHh5e/Et/WwQ033PgLOf/w3tToewp+X/Vfzt8V7FKzDARP/Tzvv50crzRfv+8puiLcQPBU9t+6YQgdtDjTOqJLZaBwA8FT2X/rhiHrO9BM64guzf6XDkhPBo3xVM4/64YhzDqLM60jujTn38N8/pX/pM4/+rff5x63MQMKtzAqlePI427WffW52Q/2OOtLBwYtQQ9VKseRZ6H/5RfJyw9X/oes7du3Lzd7dO5W8IHWv2bbNfzBrta/9NJLS11fwOPVaseOHasNh27gmPpBwmOOfMzq3X/97tWtt97GZ/Hd73y3fDj8Z6sNh1XvIatPXnttOW081zvKX3fFhxH1PNuu2TZ4zXHMvuh/fL21gq/p8eDpNQpj1F2Og2H96+fQmdkP9jjrSwcGLUHDVSrHkaebfw+H/u/cuXO18TD93Z5HHXXUate995aX9fB+/T/8wQ9XL37xi7kHPf5xj1+9733vXX3jG9+Qtx3fWL2s/I7V+/bct/rCF/5t9YYtW9RfPvTZtGnTqvwBD3v7Z5PFTx6P25COuuojV/G5vPBFL3rY93/WLmmLNoXHrkdqGZFV6Xmfeyxnmdv15DzuvOP21WEbDpMP+I46+qjy18Z/ogMPsvX/2/Ubq+1DyHr9O+7Y4wYv8IG//gO1/rdu3cp1UH4dR3stLhxk/bdn1vfY5x63EQMKk1Klchx58vVbywPqm+Vzj7P/0oFBSzDhVCrHkSfnX5h1lvTN8rnHOf9y/pUODKYESJXKceTJ9WdLLqC+WT73uA0aUGi4SuU48mT/Q9ct6Zvlc48P/v7LB6v+XyV0JrgXIVDzenRKw3PGGuUasDiZyjmD1lWR02uNTsn60l7tjXbaY/cuSOMWtGJD/9/0pjfxh/76g1b5K6irXff8uDrkZHKa7rTQlF6oIQMXtHr28v7rH5Bq35optV/9u692p9SxchpX//f+4Pf5Lbn6AyG+MVef+7HHHrs68WlPW23cuIk/ZL2zfIA6epx//vltrNZ/39+812xSelzfWNiVQcZY6TDHqQhA/5UVsxnklHreTnHvCuzqQ8YoAxe0Ysr6vjfSLLZOm6x6p2T/pUvWu9df8DruH1dccUXs4cN0/v/k3l2rzZs3rzZs2BD2nxNPPJF7yuFlHz2q/KGrukfVvanuU895zq+tvvrVr2oHQ2+6WSbt1R53ymz+vfAFp7PG9ddf/wvR//W6/nTNiqnrtL4TKtu7ArtXlbvggtfz+hPWBIaUeKD339NPP51ztc7Rwx/5CHt28pLslfpXaCzsXgVXX2D9/4ImktfEbINFUr1T3LsCu/pe0H4FR11n11//L/u9Pp4NozxxfW7kHDjQ73/W9++NvFn27oikeqcszj8b3JAM1HPMtEJk/31vui6LpHqnZP9lMmlvdF557GaaNG5By/mX6y9cm2Wy2OSRaaNzp1Ny/UmXtDfaMI+thdKo0GOnFZj7v+9bN8tEUr1TDur5p3+8qt76y2dK5ac+wBLLD4E/86OOqw8ZEhLl/XEms2jWZyvYTN+5ZRx6GpL5mJlciD2r+6YnHXf89O1vf6cMUEf9wyzlB/T5CQZMOGdI5mYv33bbjulT1103/cXbLyl/9Ob7xVxnUP384ZDpordcNL3yla+cnvLLT5mOePQRsxPtunfX9LrzL5iu2rq1jMBZq03PgXBo+csyb/7zN0+XXHKJnKM66x/A+vrOndPV12yb3nLRRdPuPbvbyz5kOv5JT5re8573TM875XlT+YB2OvRQ+cs0MnbpgOq1Mp+KJPMRwQt/rr/SiVz/dW7IVKjzYmH+VKl/hDkVkt45mJ4s+uD6f+edd07PfMYzpt2775tOevazp5tuvqm8hPmLmD29dapfX+mBWn+37dgxve1tb5s+/KEPTXv27C3PpLyo+mTktbVYwpFHHjn96RvfOF1U9pxNGzcWpjzW4fV/8Utfmk495RQ53ZlnnDV95jPbF+dPLVcffGfWoX44Z0i0lj/O5Idx/bomnvHMsiZ+uns66aSTpptuuqk0Xjt/MPT/nnt+PD35+OOn7/+wXHvljdFJ+8V//6Jc//z7thYO72lI5qNmciXW6fr3H2UdnHLKqeWEq+mMs86YPrv9s7MnsC/ry3s6KxCfwkxex9ef9eWt14ZzgWX/fQdy/nXTI9ffuu2/uf+UuTVbYH71DeScfzn/1un+J9ffwbH+DqmfAsf7D1nlbSdwO0SjvVpNmi+I7SzVtCoTx37Ixlnu7y/mVV99lGe4UELpBVEHy9isv3b/r/vUp6bffPnLpdW4MLz1rRdPF1988T7r/09/cu/0iMMfqe9S/WFT/tRlSevb6R4ve9nLpuv+6To/DaiW+Tv91bveOV1R/jL57bffTl5AOeVLX/LS6V3veOf0K8/51TD//vb975/+5I/+2Eot1L/jjp3TU596Qs6/hSWm9IKId6PIuf7WXn9oFSeaELWv9fHQ2f+2vGHLdNlll8mz/oePfWx6xXnnyUv6RXn/7/qfu6Yvf/nL06233jrduuO26e7//d5UfkXA9MTjnjid/uunTb9xxhnTpk31A9Xynpbdx88KaZrsSFWrj5/9/S9/rGf6xCc+IaNuvPHG6bTTThMsh1x/B3T/2XJhWRNXXCafHdY1cd5555a3ZX3ff79H2Bvf0OD9/97dd0//+ZWvTG+/9C+nf/7c58rwuscUoz6t6elPP1E+/D/11FOnxz72cdPjyv/dNsQSdYa2f47R6YqpS0cBg/ootF7zH0/uvFecx3VwQ1kHp9d1sB/rS//8a6846x/Q9Zf9L1Mwf/4qSxObk+5adWGu9/7DEn4PyPWf8y/XX64/bg65/+yr+z+2+ADvv+Ubq3vLu+y+qYRrj3timAaOekAwjK9JfbCOqnIMRrXV4wJthvtBYXxN6iPrax9ad//+Ax+YLirf6pSfr1qDPvrRq6bnP//5D5n+f/O/vzl9/l8/P+25b890YvnB8FnPepZ8Qyzf/2665/zvGpL7n6yRsFDa9lDCAm0Gh+66667p2eXbqj/60Y+mE044YfraLbdMh23aFLfb6s/9t3VNu/tg+v+58sHYWWeeKe/TueeeO3384x9370j3/tVC9ZH91z602f1g+t9OtBi+VdZE/QZ3XRNPK/9Id/MtX5s2PaJ9W3k/1NcZZi931657p196VPsHze5Z12mhU6R+DFE+eKg3BOXxg+/fPR199DGCH+ihry/j98H8q+vgzLIO6sOvg/1VXwoPDlm/225qj/bB+z9ovVDZ/67d2f+uIXn/J2skLBRbTQu0Ge4HhfE1qY9c/9qHA3D9z/7n/Mv115bfPlp/+qsAao2w+6Foi/JNhrITFk/9eiv3xM42Su20o38ddCPM6MgGs35pevY/51+uv9x/Dv799/IrLp8u3HyhbN5/V769euHmzQXn/j//doy71D2I698555wzXX31NdMxxxw93XzzzdMTnvAEnthOm/3fV/1nswcA/b/88rIOtmyRe6j6je7ye3mjG8bIarbO9z979uyZrrzySlaq93O1xOjGrmr11+Gc9ZKXyHM/mPffc84t6+Afr56Ofuwx0y3/pevAXlbO/wM5/3P/z/mX88++M8vNF8A2KjAW13n/txM7lPWH1z/pUPY/P3/Iz18O+vs/t5sR2ra2f6+/g18F0J6TbCYVjz9GtSfM12CgingMh7fRJSzeqGf91vphA9f8HFzE7L92YNi+nH8yuXL95f5T1sd4iZTJIcJQvd/9p/76jk9v3z5t3frh6VWv+h3sRi3m+lvP9Xf22WdP11577fTBKz84vea1r5EbIDZ8+PZl/9ez/+w1QG0vHq7/siY+/emyJj6ia6L48v5n/fafs3+rrINPtnXwmrIO6sP1X4l6zPl/IOZ/9h8dyPmX869sTLn/5/WvTIPxJapMDhGGKq5g2FBirNsLHsPhuf/k/lMmRu4/+2z/4a8CkHXY1hvWZI2RsgUpiz6KbpgKkBFpCIRLHIQ3Ui0DiQgzowqQETu5pU51EN5ItQwkIsyMKkBG7OSWOtVBeCPVMpCIMDOqABmxk1vqVAfhjVTLQCLCzKgCZMRObqlTHYQ3Ui0DiQgzowqQETu5pU51EN5ItQwkIsyMKkBG7OSWOtVBeCPVMpCIMDOqABmxk1vqVAfhjVTLQCLCzKgCZMRObqlTHYQ3Ui0DiQgzowqQETu5pU51EN5ItQwkIsyMKkBG7OSWOtVBeCPVMpCIMDOqABmxk1vqVAfhjVTLQCLCzLiavvWtu6bnnnzydOcdd0yPOuKIePMYxrnEQZwqUi0DiQgzowqQETu5pU51EN5ItQwkIsyMKkBG7OSWOtVBeCPVMpAtlr82P23bto2/WxJX7c6GU0Jet/p2YiCtnPX1ZyP0oa6Jk09+7nTHzq9PRxz56Oy/dADdKYmDcSZ1GXyITbZ1UH8VRvvPewvqbB3hVAe7ii1tBvgQYWZUATJiJ8dz1mxm7KlmgA+RJwZQATIi1FjHqQ7CG6mWgUSEmVEFyIid3FKnOghvpFoGEhFmRhUgI3ZyS53qILyRahlIRJgZVYCM2MktdaqD8EaqZSARYWZUATJiJ7fUqQ7CG6mWgUSEmVEFyIid3FKnOghvpFoGEhFmRhUgI3ZyS53qILyRahlIRJgZVYCM2MktdaqD8EaqZSARYWZUATJiJ7fUqQ7CG6mWgUSEmVEFyIid3FKnOghvpFoGEhFmRhUgI3ZyS53qILyRahlIRJgZVYCM2MktdaqD8EaqZSARYWZUATJiJ7fUqQ7CG6mWgUSEmVEFyIid3FKnOghvpFoGEhFmRhUgI3ZyS53qILyRahlIRJgZVYCM2MktdaqD8EaqZSARYWZUATJiJ7fUqQ7CG6mWgUSEmVEFyIid3FKnOghvpFoGEhFmRhUgI3ZyS53qILyRahlIRJgZy3+bwT9eBRMiTXOglmXjXOkZy4kAEOdlyahl2ThXesZyIgBEVpsDtSwb50rPWE4EgDgvS0Yty8a50jOWEwEgstocqGXZOFd6xnIiAMR5WTJqWTbOlZ6xnAgAkdXmQC3LxrnSM5YTASDOy5JRy7JxrvSM5UQAiKw2B2pZNs6VnrGcCABxXpaMWpaNc6VnLCcCQGS1OVDLsnGu9IzlRACI87Jk1LJsnCs9YzkRACKrzYFalo1Qdt+3e9p4WP1dkmBwLsuJABBhHUS1LBvnSs9YTgSAOKgLSi3LxrnSM5YTASCi2CCqxYx79+4t/yn3atqwYYO4TcHgnrGcCAARQwdRLcvGudIzlhMBIA7qglLLsnGu9IzlRACIKDaIalk2zhVjdu8ua2LjYeWs+lUSKgCIg7qg1LJsnCs9YzkRACKKDaJalo1zpWcsJwJAHNQFpZa5ce+qrIPyJwMOLesgflGn91pOBICIYoOolmXjXOkZy4kAEAd1Qall2ThXesZyIgBEFBtEtSwb50rPWE4EgDioC0oty8a50jOWEwEgotggqmXZOFd6xnIiAMRBXVBqWTbOlZ6xnAgAEcUGUS3LxrnSM5YTASAO6oJSy7JxrvSM5UQAiCg2iGpZNs6VnrGcCABxUBeUWpaNc6VnLCcCQESxQVTLsnGu9IzlRACIg7qg1LJsnCs9YzkRACKKDaJalo1zpWcsJwJAHNQFpZZl41zpGcuJABBRbBDVsmycKz1jOREA4qAuKLUsG+dKz1hOBICIYoOolmXjXOkZy4kAEAd1Qall2ThXesZyIgBEFBtEtSwb50rPWE4EgDioC0oty8a50jOWEwEgotggqmXZKEr5gaxG98AA0PUWtWD8N2uQlXU3sBAQ3SkdpCqA2cBRtfrI+tn/Mhdy/nEpYNHF1YMMUVdPf6QqgJmzgauxPnL95forcyHXH5dCrj/dGbBTxCyyqtmRqgBmZuCH8FWrj9x/cv8pcyH3Hy6F3H90Z4i7BzJE9fRHqgKYORu4Gusj95/cf8pcyP2HSyH3H90ZsFPELLKq2ZGqAGZmyPuf0ou250pXcv/N/besk4fY/ntI+Rf+8r3V0QJ3a73AsQMsYjemnlr+qmz3i2OLHX3SE4/H+7ONHWAR/YhSI+tn/3P+yeoNfzigLJdcf3r5zv2nTI/c/2sT4sWjyxauMG3cgprXn7z+5PWnrJG8/8vrr/vDPXn/kfdf5XIrV1y5dI6vn/4SPHaARfQj8ue//Pk3P3/Iz1/0g9m8/ub1lz/hlcvFvv78o/yO1br9uh8rmRDEq9Ugg7OeSP54Wou0wkAigiAzIYjmQQZn1s/+5/yrN5Q6D7hUsEBIRBBkJgTRPMjgRF1EWmEgEUGQmRBE8yCDE3URaYWBRARBZkIQzYMMTtRFpBUGEhEEmQlBNA8yOFEXkVYYSEQQZCYE0TzI4ERdRFphIBFBkJkQRPMggxN1EWmFgUQEQWZCEM2DDE7URaQVBhIRBJkJQTQPMjhRF5FWGEhEEGQmBNE8yOBEXURaYSARQZCZEETzIIMTdRFphYFEBEFmQhDNgwxO1EWkFQYSEQSZCUE0DzI4UReRVhhIRBBkJgTRPMjgRF1EWmEgEUGQmRBE8yCDE3URaYWBRARBZkIQzYMMTtRFpBUGEhEEmQlBNA8yOFEXkVYYSEQQZCYE0TzI4ERdRFphIBFBkJkQRPMggxN1EWmFgUQEQWZCEM2DDE7URaQVBhIRBJkJQTQPMjhRF5FWGEhEEGQmBNE8yOBEXURaYSARQZCZEETzIIMTdRFphYFEBEFmQhDNgwxO1EWkFQYSEQSZCUE0DzI4UReRVhhIRBBkJgTRPMjgRF1EWmEgEUGQmRBE8yCDE3URaYWBRARBZkIQzYMMTtRFpBUGEhEEmQlBNA8yOFEXkVYYSEQQZCYE0TzI4ERdRFphIBFBkJkQRPMggxN1EWmFgUQEQWZCEM2DDE7URaQVBhIRBJkJQTQPMjhRF5FWGEhEEGQmBNE8yOBEXURaYSARQZCZEETzIIMTdRFphYFEBEFmQhDNgwxO1JXYPlelXU2wKh04jOaI+wN2LkHlwE+LB0NDraYHLut3n5oNmhgo7V6lBJVD9r+0MPTIkjDXGh24nH85/+RbaDZn1kY6e6pHUDnk+sv1l/vPeNWEvbZZApf7b+6/uf+OF8+Q1dVTJUHlkNefvP7k9We4WHSNtCMcef2p66XtI3n9zetvXn+xNfwMsa2b4hRUDnn9ffhff+UbqzY7bBJgH23TgRbn4DfjMGEWP62yk/E8Y+DOTkggQ3yGPV44L8xOvqbo3M5HSJD1Swd8N7L/eo2VnvjGuBmlcE3RuZ2PkEB8Psv+Z//lG9plZqz9X/P7WeOm2ww6HyFBzr/SAd+NXH+5/nL9tTXhF8Za+8pM84Q7CSGBGH2W6y/XX66/XH+yJ/iNwW8ps11jJjrCnYSQYHam3H9y/8n9J/cf2SHiNuH2lArXFJ3X+QgJxOez3H8O3v2n+2A1TgH/Jrp3v0FV1/bYqN4t+WCwpzy2MwGpurYHXrwucwuylEZPeUwDgapre2huS8vcgiyl0VMe00Cg6toemrN+aQX/1bVg6dugeZ7y2DoJpOraHnhz/vXdknzQPE95bJ0EUnVtD7zZ/75bkg+a5ymPrZNAqq7tgTf733dL8kHzPOWxdRJI1bU98Gb/+25JPmiepzy2TgKpurYH3ux/3y3JB83zlMfWSSBV1/bAm/3vuyX5oHme8tg6CaTq2h54s/99tyQfNM9THlsngVRd2wNv9r/vluSD5nnKY+skkKpre+DN/vfdknzQPE95bJ0EUnVtD7zZ/75bkg+a5ymPrZNAqq7tgTf733dL8kHzPOWxdRJI1bU98Gb/+25JPmiepzy2TgKpuuThB6tLhvqW6C/+dQ5CAlRrcYmvMjREHRKzdhoJWT/7X3/xspshhAR+whS8xFcbNEQdGjPloGT/s/85/9wKISTwC6bgJb7aoCHq0JgpByXXX66/XH9uhRAS+AVT8BJfbdAQdWjMlIOS6y/XX64/t0IICfyCKXiJrzZoiDo0ZspByfWX6y/Xn1shhAR+wRS8xFcbNEQdGjPloOT6y/WX68+tEEICv2AKXuKrDRqiDo2ZclAeiuuvfLC6t7wm9xt3+AoJ/KsMODrwAWizBLEk7RdL4OvLdqJgtL7zDTBnj+LIrK8TMPsvHQiTI+dfrr+yx5X/5f6j//mE7aVhoeT+y3YQWKs6FB15/cnrT/0BpD3C5ChJ3v/k/pvXn7z+lq2g/ufD9ggbRV5/2Q4Ca1WHoiOvv3n9zesvt5awOEqS9x95/5H3H/vt/oPfWHVXdLl82WXKUHdd64dQDmu6sMg1+iOHOJdyVtWQdwvGiTuhp5H7yuBsaGSsqiHzNhSHUO5p5Br9kUMKgEs5q2rIuwXHIZR7GrlGf+SQAuBSzqoa8m7BcQjlnkau0R85pAC4lLOqhrxbcBxCuaeRa/RHDikALuWsqiHvFhyHUO5p5Br9kUMKgEs5q2rIuwXHIZR7GrlGf+SQAuBSzqoa8m7BcQjlnkau0R85pAC4lLOqhrxbcBxCuaeRa/RHDikALuWsqiHvFhyHUO5p5Br9kUMKgEs5q2rIuwXHIZR7GrlGf+SQAuBSzqoa8m7BcQjlnkau0R85pAC4lLOqhrxbcBxCuaeRa/RHDikALuWsqiHvFhyHUO5p5Br9kUMKgEs5q2rIuwXHIZR7GrlGf+SQAuBSzqoa8m7BcQjlnkau0R85pAC4lLOqhrxbcBxCuaeRa/RHDikALuWsqiHvFhyHUO5p5Br9kUMKgEs5q2rIuwXHIZR7GrlGf+SQAuBSzqoa8m7BcQjlnkau0R85pAC4lLOqhrxbcBxCuaeRa/RHDikALuWsqiHvFhyHUO5p5Br9kUMKgEs5q2rIuwXHIZR7GrlGf+SQAuBSzqoa8m7BcQjlnkau0R85pAC4lLOqhrxbcBxCuaeRa/RHDikALuWsqiHvFhyHUO5p5Br9kUMKgEs5q2rIuwXHIZR7GrlGf+SQAuBSzqoa8m7BcQjlnkau0R85pAC4lLOqhrxbcBxCuaeRa/RHDikALuWsqiHvFhyHUO5p5Br9kUMKgEs5q2rIuwXHIZR7GrlGf+SQAuBSzqoa8m7BcQjlnkau0R85pAC4lLOqhrxbcBxCuaeRa/RHDikALuWsqiHvFhyHUO5p5Br9kUMKgEs5q2rIuwXHIZR7GrlGf+SQAuBSzqoa8m7BcQjlnkau0R85pAC4lLOqhrxbcBxCuaeRa/RHDikALuWsqiHvFhyHUO5p5Br9kUMKgEs5q2rIuwXHIZR7GrlGf+SQAuBSzqoa8m7BcQjlnkau0R85pAC4lLOqhrxbcBxCuaeRa/RHDikALuWsqiHvFhyHUBZ6JQ/9V9RwCjdIoTs6TZ6Q5PXj8HJu/pNJrVOItf4EWnsq+BZZ1nf/5uh6qdAdnZb9L82QfuT8y/WX+0/uv+2iIqHuDWVfCNckryvO609e//WPUOT1l9/5cfcYCt3RaXn/UZoh/cj7j7z/KNeTcK2pcyOvP7Enef3tO5D3H3n/kfcf9TKa9195/9UuoO4eU6E7Ou1gvf9031jttvvw5KvmibYEPMXhbnlQJ2incTnHdWBm8UTWly3It4Tty/5ze2Z/CHL+SStcPzhvOjCzeCLXX66/cgvgpwSnT+4/uf+020POD4Lcf6UVrh9cNx2YWTyR+2/uv7n/5vWn7Bnhg9y6h+T1N6+/ef2VZcFLJkHef0grXD+62w6mM4sn8v4j7z/y/mPN+4/6hVVdTLpw4vJp121PitkRAjWvx/qwa735gBDV6Y+qeJ2YAH5HCNS8Husj62sf2lVEEnQMEQ6L1kP0j14CuB0hUPN6rA+Mz/rWJyBE7ZQ/quJ1YgL4HSFQ83qsj+y/9iHnn80TIER0yKIqXicmgNsRAjWvx/rI+ad9yPln8wQIER2yqIrXiQngdoRAzeuxPnL+aR9y/tk8AUJEhyyq4nViArgdIVDzeqyPnH/ah5x/Nk+AENEhi6p4nZgAbkcI1Lwe6yPnn/Yh55/NEyBEdMiiKl4nJoDbEQI1r8f6yPmnfcj5Z/MECBEdsqiK14kJ4HaEQM3rsT5y/mkfcv7ZPAFCRIcsquJ1YgK4HSFQ83qsjzr//h86LSuwsTy9DwAAAABJRU5ErkJggg==" + } + }, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "![image.png](attachment:image.png)" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "192.9365834328922\n" + ] + } + ], + "source": [ + "t_e_typical = 4.1 * (1e7)**(1/2) * (4)**(1/2) * (280/50)**(-1) / 24 # 30 solar mass, days\n", + "# t_e_typical = 4.1 * (1)**(1/2) * (8)**(1/2) * (280/50)**(-1) #earth mass, hours\n", + "print(t_e_typical)" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.002070812716332032" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "4.1 * (1e-6)**(1/2) * (8)**(1/2) * (280/50)**(-1) #earth mass, hours\n" + ] + }, + { + "cell_type": "code", + "execution_count": 92, + "metadata": {}, + "outputs": [], + "source": [ + "nick_tes_30 = pd.read_csv('popsycle_data/nick-t_E-30msun-sep8-nocut.csv', header=None).values.flatten()\n", + "nick_tes_earth = pd.read_csv('popsycle_data/nick-t_E-earthmass-sep8.csv', header=None).values.flatten()\n", + "nick_tes_data = {\n", + " 3e-6: nick_tes_earth, \n", + " 30: nick_tes_30 \n", + "}" + ] + }, + { + "cell_type": "code", + "execution_count": 93, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "def plot_histograms(data_structure, nick_tes_data, num_samples=10000, num_bins=24):\n", + "\n", + " for m_pbh, nick_tes in nick_tes_data.items():\n", + " if m_pbh == 3e-6:\n", + " bins = np.logspace(-1, 1, num_bins)\n", + " elif m_pbh == 30:\n", + " bins = np.logspace(2.5, 4.5, num_bins)\n", + "\n", + " plt.figure()\n", + " for entity, entity_data in data_structure.items():\n", + " for finite_val, finite_data in entity_data.items():\n", + " if finite_val:\n", + " continue\n", + " for v_disp, v_disp_data in finite_data.items():\n", + " for p_or_mass, p_or_mass_data in v_disp_data.items():\n", + " if entity != 'pbh' or p_or_mass != m_pbh:\n", + " continue\n", + " # Calculate gamma(t) for each case\n", + " t_es_limited = np.logspace(np.log10(np.min(p_or_mass_data['t_es']))+0.1, np.log10(np.max(p_or_mass_data['t_es']))-0.1, 60)\n", + " gammas = np.array([gamma_of_t(p_or_mass_data['calculated_values'], t, t_es=p_or_mass_data['t_es']) for t in t_es_limited])\n", + " \n", + " # Sample crossing times\n", + " samples = sample_crossing_times(t_es_limited, gammas, num_samples)\n", + " \n", + " # Plot histogram\n", + " bin_counts, bin_edges = np.histogram(samples, bins=bins)\n", + " plt.bar(bin_edges[:-1], bin_counts/np.sum(bin_counts), width=np.diff(bin_edges), align=\"edge\", edgecolor=\"black\", label=f' LCP, Point, v_disp={v_disp}', alpha=0.5, color='blue')\n", + " plt.axvline(np.mean(samples), linestyle=\"--\", alpha=0.5)\n", + "\n", + " # Plotting for Popsycle data\n", + " bin_counts_popsycle, bin_edges_popsycle = np.histogram(nick_tes*24, bins=bins)\n", + " plt.bar(bin_edges_popsycle[:-1], bin_counts_popsycle/np.sum(bin_counts_popsycle), width=np.diff(bin_edges_popsycle), align=\"edge\", edgecolor=\"black\", label=r\"Popsycle $t_E$\", alpha=0.5, color='orange')\n", + " plt.axvline(np.mean(nick_tes*24), color='orange', linestyle=\"--\", alpha=0.5)\n", + "\n", + " plt.xscale('log')\n", + " plt.xlabel(r\"$t_E$ [hour]\")\n", + " plt.ylabel(\"Normalized Count\")\n", + " plt.title(f\"PBH, M = {m_pbh} $M_\\odot$\")\n", + " plt.legend()\n", + " plt.show()\n", + " \n", + "plot_histograms(data_structure, nick_tes_data)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## FFPs" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [], + "source": [ + "nick_ffp_df = pd.read_csv('popsycle_data/nick-t_E-Lmass-ffp-06-combined.csv', header=None)\n", + "nick_ffp_tes = nick_ffp_df[0].values\n", + "nick_ffp_masses = nick_ffp_df[1].values\n", + "# nick_ffp_tes_sampled_066 = 10**(pd.read_csv('popsycle_data/p066-logtE-sampled.csv', header=None).values.flatten())\n", + "# nick_ffp_tes_sampled_100 = 10**(pd.read_csv('popsycle_data/p100-logtE-sampled.csv', header=None).values.flatten())\n", + "# nick_ffp_tes_sampled_133 = 10**(pd.read_csv('popsycle_data/p133-logtE-sampled.csv', header=None).values.flatten())\n", + "nick_ffp_tes_sampled_066 = 10**(pd.read_csv('popsycle_data/lower1e-12-p066-logtE-sampled.csv', header=None).values.flatten())\n", + "nick_ffp_tes_sampled_100 = 10**(pd.read_csv('popsycle_data/lower1e-12-p100-logtE-sampled.csv', header=None).values.flatten())\n", + "nick_ffp_tes_sampled_133 = 10**(pd.read_csv('popsycle_data/lower1e-12-p133-logtE-sampled.csv', header=None).values.flatten())\n", + "\n", + "nick_ffp_tes_data = {\n", + " 0.66: nick_ffp_tes_sampled_066,\n", + " 1.0: nick_ffp_tes_sampled_100,\n", + " 1.33: nick_ffp_tes_sampled_133\n", + "}" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_44185/3285702519.py:8: RuntimeWarning: divide by zero encountered in log10\n", + " diff_rates_interp_log = interp1d(np.log10(t_es), np.log10(dgamma_dt))\n" + ] + }, + { + "data": { + "image/png": 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", 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#With extended mass function, but cuts on t_duration at low and high\n", + "def plot_ffp_histograms(data_structure, nick_ffp_tes_data, num_samples=10000, num_bins=20):\n", + " # bins = np.logspace(-2.5, 2, num_bins)\n", + " bins = np.logspace(-4, 2, num_bins)\n", + "\n", + "\n", + " for p_val, nick_ffp_tes_sampled in nick_ffp_tes_data.items():\n", + " plt.figure()\n", + " for entity, entity_data in data_structure.items():\n", + " for finite_val, finite_data in entity_data.items():\n", + " if finite_val:\n", + " continue\n", + " for v_disp, v_disp_data in finite_data.items():\n", + " for p_or_mass, p_or_mass_data in v_disp_data.items():\n", + " if entity != 'ffp' or p_or_mass != p_val:\n", + " continue\n", + "\n", + " # Calculate gamma(t) for each case\n", + " t_es_limited = np.logspace(np.log10(np.min(p_or_mass_data['t_es']))+0.1, np.log10(np.max(p_or_mass_data['t_es']))-0.1, 60)\n", + " gammas = np.array([gamma_of_t(p_or_mass_data['calculated_values'], t, t_es=p_or_mass_data['t_es']) for t in t_es_limited])\n", + " \n", + " # Sample crossing times\n", + " samples = sample_crossing_times(t_es_limited, gammas, num_samples)\n", + " \n", + " # Plot histogram\n", + " bin_counts, bin_edges = np.histogram(samples, bins=bins)\n", + " plt.bar(bin_edges[:-1], bin_counts/np.sum(bin_counts), width=np.diff(bin_edges), align=\"edge\", edgecolor=\"black\", label=f'LCP, Point v_disp={v_disp}', alpha=0.5, color='blue')\n", + " plt.axvline(np.median(samples), linestyle=\"--\", alpha=0.5)\n", + " plt.title(f\"FFP, p = {p_val}, v_disp = {v_disp}\")\n", + " \n", + " # Plotting for Popsycle data\n", + " bin_counts_popsycle_sampled, bin_edges_popsycle_sampled = np.histogram(nick_ffp_tes_sampled, bins=bins)\n", + " plt.bar(bin_edges_popsycle_sampled[:-1], bin_counts_popsycle_sampled/np.sum(bin_counts_popsycle_sampled), width=np.diff(bin_edges_popsycle_sampled), align=\"edge\", edgecolor=\"black\", label=r\"Popsycle $t_E$ Sampled\", alpha=0.5, color='orange')\n", + " plt.axvline(np.median(nick_ffp_tes_sampled), color='orange', linestyle=\"--\", alpha=0.5)\n", + "\n", + " plt.xscale('log')\n", + " plt.xlabel(r\"$t_E$ [hour]\")\n", + " plt.ylabel(\"Normalized Count\")\n", + " plt.legend()\n", + " plt.show()\n", + "\n", + "plot_ffp_histograms(data_structure, nick_ffp_tes_data)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "metadata": {}, + "outputs": [], + "source": [ + "#px, py, pz, vx, vy, vz\n", + "stars = np.load('popsycle_data/star.npy')\n", + "ffps = np.load('popsycle_data/ffp.npy')\n", + "ffps_smaller_r = np.load('popsycle_data/ffp_smaller_r.npy')" + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(-800.0, 600.0)" + ] + }, + "execution_count": 46, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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x9hntVwIgoUsQBNGXkxz+PIm200TAUcXUsP4dZ3Z+vzZHKaYwyRn2feFGa2PYsXveSh6fFvF9RtYEYhgkdAmCIPpwkhG3o05sGqXdUT4bpZ2jbPtxh+vPOlKXU0QIPD8R28Ekzp9JCLlpFYPkwyVGgYQuQRDPBGf1MDtpUTWMcfywk2ZS235aGQgmxahie5D9oV9b4xyz4wo5zXKnWgwedwSBeD4goUsQxLnnrB/WZ1l6dRJ+2JOspjXKMqNmIJjUOk+LfiK336S6cc/j47wUsHUBOPcvFsfhtCb8Ec8uJHQJgjj3nGUU8CxLrzKO64c9if6P0+4kjt1pRiePO9Gt36S600y3Fl/XtIrcUXgWRhCIk4WELkEQzwRn9aA6y9KrjGQWhfhvR20fwEipu0Zl1H6zqOJxOM3o5HGqnzEGTaobNZ+uZrnwfP9YGSCG2SoGfXaSnPb6SOQ+35DQJQiCGMKoguG47fcTIUx4HSei2TJsSNzxxe44QntSJYD7RScndQyO6yHuZ88YtX/9fi/wPARh+MS44/TztIf2R8lhTBCThIQuQRDEmJyEP7Zfm0mRd9RMCMWMDCcIo42j9mfUPvb7nWYdrwTwsEldoxaYGLaOQR7iUfqedlzGOUf6HddJ2w4mmX5ukn1gkJ+WOAlI6BIEQYzJSfhjB7WZFCZHIaeIY4ncYaJ7lN8llx9HwOy0zYHD9qMWmBjGpIRXmkgdR0CeptA86XUP21/91ndSKfeI5xsSugRBEEfguCmojtrmaTCq6B7ld3GRO04UXBV4aE56VJm1EffCHlfs9vv8ONHO83I8J8FxRyZG5bgp9wgiCQldgiCIE+SoqaHOmlEFR1rUt19745RuFQQeRVU+ZAfwPB+e70eWBSZyJ13mON6XZ4GTPGdG3b+a5Z6KFWKS+XPPw7VGnCwkdAmCIM4RSVFxXh/ER8kKMI74SfOnMgFsun6PZeGo4mpSkcFRBOBx2xj0m5MU+sBokwp32mbUh5MSueNMhBzVT562zElcc+f1On4eIKFLEAQxAqf1oIqLtvM8RDtKVoCT6DfzGvezSIyz/kl4QkfJIjCu4BrZ3hETlkcR+nFxOmxd8ReLNGFYzcoDxfBxz4VR+8oYZZ8cdxLhqEz6heo83g/OMyR0CYIghnDagpM9eM97svtBWQFOap/Fo7jDlhtl/Uf1hI4aTR5XcI3T73i7SZ/yqOJ1lPRvw/rHvu832fG458I4fU32e5xlTsp6MYk241lGzuvL73mFhC5BEMQQzkpwpg0DT+IBdxoPyVH22bhDxuNEPifp40zLHpHMLjHs96OsY5x+J9uN92kUYTlMnMaJn4f9+jdu5HQcxunrUUlGyCdN8lgd5fdsH5znl9/zCBcEQXBWK3/vvffw4MED3L59G/V6HW+++SZ+9KMfpS5769YtfPDBB7h+/ToajQYA4Ac/+MGxl03SarVQKpXQbDZRLBbH3iaCIKaLcR98bPnjPjDZgzdNYB3nQRdvAzj+ZKvkdo6y3exBH9+WUbctvn8nuS+O4u89ynlxksTXMan1TWI/PyucxjHaaZuoZuXnYn+eNKPqtTPby2+//Ta+//3v43vf+x4AoNFo4Nvf/jZmZmbw8OFDlMvlaNmbN2/ipz/9Kd5///3os1u3buGtt97CBx980NPuOMsSBEEMYtwoT3x4kXkajxPFSv5+EgI6PsTN+nrUSFly/yS3O014xYVT2tD7qNHRSe6L0xC5Jz1RC5hMvuW0Nk96gtl5EXyn8SLCLBgnGZ0mejmTiO7NmzexsrKCGzdu9HzeaDQwMzODN998MxKljUYD165dOyR+AeCNN944JJZHXbYfFNEliMlxnh5iR+WsIrqnwSSiS0kByx7iychxPCp4FHHdL1p5Evu5X5tpkejjtnnU/sXp19fzfv49T9FixrNwXJ4VRtVrZ+LR/c1vfnNI5AJAuVzG9773Pdy6dSuyHPzsZz/DysrKIeEKAN/5znfw7rvvRv8fZ1mCIE6W85wxYBzGfSjFI47nnUn4/ZLeTSZg477M5GSmcauZaVaYyizpPz3NGfLscwBHLsM8qf55no+WaaNl2tF+iX8/aPLcUdd5EpyV9/0seZ629bxwJkL3vffew1tvvZX63RtvvAEA+PDDDwEA77//PiqVSuqyKysruH37diSKx1mWIIiTZRoeYs+6SB+FSc8u7/f/QZOZRtrPAaDZbl8BPQkGzbpnn8e3ZRLrG5ecclBMQ+B5CPxBerd+YnyUF4J+38Vn+Z/E9fAs3x/SeB7uGc8aZyJ0v/71r/f9jglRJlg//PBDrKyspC7LPl9dXR17WYIgTp5n+SE2LRHp45C27ZPYH3Gf8KD9zMRVThFhev4h/y9raxTGyegwqM1xCmSMur5hyyVh/atm5UPfxV8C4ssPeiEYFMWuZmWsNQwAOFHBexKc1Pk7aH1ndc94Vo7JWXAmQveDDz7oOzHswYMHABBZGxqNRqoVIQ4Tr+MsSxAEMYhpiEgflUHD3+M8yPstl2yHRUqTy7Byv5rlYr6gYq1h9PiBx+nHqOm24iI6FW6kVQ5l0Pk1yktA8vfxaG6/9Y3bl5wSVkS7XM4AQI/f+ijR4dNk2Pk7bh9HWf6s7hn0Uj6Yc5dH97333hs6YYzBRG29Xp/oskBoco7/sSxrpN8RxFlAN7iTYViaq0H/P6+MGtkEDntRx3mQD/KJxm0AqshDsw/nx2VD9GxofqdtYrmgYKdtpvYtvo60yVrDIppsOdZvtp5kO6w/k4psJ/uQjCwPK0YR//dxc9Wmfi73WkVG2ZdJ3/C4TGrf9jt/geFiPdmfUZef1LkxDs/LS7llWYe02SicK6H79ttvY2VlpW8u3dPk0qVLKJVK0Z933nnnrLtEEKk872/zZzVMmBRm8UjReT0Wo54racPfo7bP6Bdx3GmbkYiLT2BLq7wV78N8QUXDcpGTRXje4QgwEPpJ41HgOPF+DIry5RQRaw2j74S5o0SUB+2nZB+S+22cY9BvG49KvyjxIJGr2S4wZi6neH+P4ydOfp/Wz6N4u4/7gndSJK+3k1rnebmfvfPOOz267NKlSyP97twI3du3b+O9997DBx98MNR+wEj6eSe1LACsr6+j2WxGf374wx+O9DuCOG2el7f5NM5C5PcTIyxS5Pl+j49z0kO8g+wAw4j3s18bnj/4+0F+2rTSsPF/13QbqsD3CNGkoGPLpZ3PLKODZqevv5qVYXp+zwStOEkhnLROMCF+uZyJbBJp62G/GXbNpZ0D/fZTfJuPcy1rlouWcTgbw1Hod2/pd/w9zw/ThXmj34/YOceumWGWjkERd7bMpEo/H2X507ofD3rZPsn1nCU//OEPe3TZ+vr6SL87N0L329/+Nv7pn/6p72Sy06ZYLPb8URTlrLtEEH15HkUucPoiPxl5S/aFDW0LwsHw9jBh+LCmHWn9o3zej4HLxqJxSYE2aH+PIormC2qPHSENzXKhCr1CJikYB61/vqD2FUmqwEdCGIi9lMSzOcgHvtS0/RwJ5RSxfWh9XUGWLBeclnVi3JRrg4jbDY7dVsrxTDt/4laT6IVkxJev+DWTts74egGgptsDI+5n/eJ/Guvu97I96XWfh/3JUBTlkDYbhXMhdN966y28++67qbl1V1ZW+k4gY35bJo7HWZYgiOngNG/A/URKcplRHj5siDzuOz3K+oetJ9nHNEtBnDSR3k/g97MHxL9Pi14OOmaa7WJXs6AKvetmghFAJFTTtq3fdgMAuFAExl9K4tkcgPAloJ9QZGLOdP2hwjTNlhH/btAxOQ6sj/0Kchx3hGHQqED82I778jXwnEi8ZA3L/3weRFkak46Kpp2fJ8F53Z+jcuZC9/vf/z7efvttvPnmm6nf37hxo2/uWyZqmUAeZ1mCIIijkBR6o8zm78e1ag4Nyx2rSti4D/dBloI0MRtfhg2n9xP442QyGIV4H9jwdzzSGm8rLVo6bLuTkeQ00ZT0J6eJ+aSneND2p0X/h9k80rZlVOLrGzXyn3yZGdY+MHwy16jHfth648c4eeySfTouo75wHoXktUacHmcqdH/84x/j29/+9iGRu7q6ilu3bgEIo739orQPHjzo+e04yxIEMb2c1oPkuJE4bUyRexQGRaHj3yUjdcnh9LToERPCRxX6ceLe16ws9H5nHxbh/aKladudFPFpy0ZCJGZJGCTChllT2O9bhp0qlgdF1ZNtjCqQ+kXh4+tN+p97Xi6GnMvjLMvWN4xBlhd2Dqb1OW2bj8NO20RZEU9M7Mavr/PieX1eODOhe/PmTdy4cSNVfN6+fTuyGPz93/896vV6qoC9efMmvv/970f/H2dZgiCmk9OePHEckXta/RwUiU32n/mGh9k0mAh5WNOOvR1x7ysA7LXtyKfbT+wk/ZyDxOgoLyRMBA7z0yZ/M9AyYh8Wz8n+J6PS/UQxMLxgQ/LFpabbvf1J8QInf5NcflD7ozLs3OgX8QbQU1Y6/t2ox2hUWFaPk3zx7Dc6QpwsXBAEYyYCOT63b9/G22+/jW9/+9s9nzPbwU9/+lN89NFH0ec3b97ET3/6U7z//vs9n7377ruHCk+Ms2warVYLpVIJzWZzZKMzQRC9pA3XPk/rH5V+/Txu/4cNiQ9q/2FNw3JBiVJ5JW0ONd2OxMDDmobL5UzPZ8fts2a7kDjgadvGK/P5kcrusr6lRUk9v38WhrR2PM/vmRg1rL+DlmPRwfjkrLSXDrb/0rYjbZ2DlunZFt8HAvRsz7Bzi30/rC+jEm8HGO3FULPCNGXx8y+tj8Tzzah67UyE7szMTF8vLRBOGGMV0hi3bt3CBx98gOvXr0e//cEPfpD6+3GWTUJClyCOx6QekM8DaWJpnP0XFyVxIeN5PjTHRU4SB4q2+Pp32iZycreNrshoGTaKGbkn+ljNyjDdMOsAi7T2E3KD+tzv/2w9rC+DfK6a7aauOy4gVaE3C8Yw4TTqNrB9XFTl1OXZUDiLEjLhmRTdw/ZH2jmy0zYHvljEz4vkb4dtV/zcG3e/9IMdz5EF+oDz9zyK3EF9Oo/9nRbOtdA9z5DQJYjjQzf34RG/KItAIuLGfjvqJB6WaikeMRsUEYuLIM/zAQ6o6Q7KioC64WAur0Dgeex0LJQVAU6A1HRRyUgk+2xY9odRIpjJKGA8ysrW1TJCm0G8f/22M769afv6KC9mO22zR0T3Wya+70aNFsf7lozKjhL17SdWR11nPyvBUV5ejxrRZUziWI3DcV8ORv2OOD6j6rUzz7pAEMT0cRY39VEm65z0+uP/HpS0n3klTTdd+IwziYdNyAJ6J7lUszJ2Or2ly+P+xpxykPf0WjUHJwAWi5koddflcgYNy+sRasw3GV93JMZwUHih334BEFUd22mbff2Kyc+ZxzXeh2JG7ityk21FbXD992NcRA/ahkgIyeIh8Z38TbxvbH8PsiSk9S0tx+ywSYBpVebGWWfaZ0cVa+y3LFfxqL9J8wGftL817hUf5V4yzP8dP1ajtEWcDCR0CYJ45hn3ATWonaMslyYoBiXtjx6OiYjruH2Pi5/4Azen9OboTZu4wx7SrI14oQW23LVq7tBvmejs2a7YuGD8GMT3CztG1azUU2I3LQo2aDvj+7SfyE2b4OX5/sDsE2nHkPU7mckgntO33+/6FVVIbmu/38d/k+wze1FIVgiL9yttfw3r3yCO5dO1XUiYTPquQQJ/Em0PK2jCSL409ltmlEIgRzkew9ojDiChSxDEM884D6h+RN7AMR5KSRGY7M+waGM/UXhU4ts+nz+YUJacpd5vXcl9kNxWzXZRVsSeam7xSKVmuz2iNym+4xHkftFflvUhLiKSFaAGiVLmI7670+mxcagCf2jZtNn7jLhoTKZgmy+oA3MMjxJ5jEen4y8QyX6lieV4H5joZaKqX3aKtDaG9W9S5GQRpu9HvuvjMGlRmIQd02HtD9uHw6K947Q1Die9f55FSOgSxJTzvNzw0oY6xyZlaJuRJoiSD5RBabtS6SMKjwt72LGI8VhCjAsjcHE7QjyP7UbbOlQelwmDalaOCj0MiswCOEi9lWiHld9lqbGSUbE0AcEE+lbTgCryuLvTwYvVbCSYc7IY2RyiaK/tpu4DVeRxZ7MFVeB7xGzatjLBnIy4DorypR2D0A8tRnaOuDVhUGSYid1+qbiGrZ/1NwmLgB91hCNtXclJe/EXxXEjyydhX0i+NI3y0tvPhjJKtHeUto7CSds7nkVI6BLEFENv96PD/JD9Hl5JEZsWaRznAROPhMY/mwRpfUtbBjg8TC7woTCMi3AWIa1mZcznlcG+WvlAoD2saakRYhZ1TfMvRkUgupFoIN1zeki4ez7mun17famIhuVGkeOcIkZ+4mpWjqwTrE9xcbrWMFBSeOxq1sAIZFpu25222WOhidtG+qFZLi6XM9hoWz19ZL8bmv83dqwGRRfTSLN4RMumTFPvJ4pHucckRa7n+/A8f2B1u1HamgSp2zDgpXdYO8BoBTVOivMics/Lc4eELkFMMfR2P5h+kbJ+w8Vp4o7BonHj0C/yOc4Dot+yowy/JiN3cSEvCAcTz2p6mNM2LcKZhD3ow2F1qadYQnzYfVj0cVAkOm3b5wsqTO+gTfZ3sq/MexxldPB9bLYMeL7fTYMlQOB5FFRp8EuP7fb0x/N9qAIP0/OjKLjEhdkh0rypSVF0rZo7tI2Dqrklj1VSSB7qb4pNJf6yERefQHomkDRLxVHuMeyFitl7BhUmOQ3SXgyPYoNKWnWeZ85TkIWELkFMOef9htsTRerz/UnQL5I0bLg4rV+DyocO27a0iNqwB0R8eSZU07aj33c9BL3LxyOwrB+jCFOg90E/X1Ah8HxPHl62TPzvfvuE7ctDYtzunRAW3xdxO0G/dpP9MF0f83kFNd2BKvBQxW6WgwHRXOaNZVHguHDLySKqWTmySwjdNge9PKW9QMUtDP22Jc0mkzzug17S4se0Zxv69CmyWiT2fb8+ppEcFUmzfowikCZ9X0i+GI6zTcl2iNP3gQ+ChC5BEBNnHG9fUlwlvz+JqEAymhVn1Bt0vF/9yocO8/rF1zXqsOchcWy7kfh7WNN61xX0emHT+hEXNvF0Z6PYH+J9im9T/N9pkeVBx5MJPFXkw33XneCm2W7PcUtGApOR0GFRebYfc7J4MEHO8yPrxqCXoHhGjfh+Te63+YJ6yAaS7NOgfdpvxv7QczTofSHot1w/gZ3WF/b9INtJfPlRXiLTljvK9Tcq47x0TmqdzzMncQyPAgldgiAmyjg3sGQUKe37k7BeJKNZad8zRhUafaOdQ7x+8ahWPMKXHH7ut+6cLCInh97SsiKgZdpRe8x+kCYA40Pw7P/Mt5rcD0cRCP3ETL8h8DgsGhwNbXt+1Dfm303rR5pAT25P2pB7TgkzScS3f1h+X9ZWy7DRMntzJifF/jhFIuLbkpbfd1AUNb6+eFaG44iJZIQ4WQ2vXx/67b+4QB603CCOcl8Ydl8a1uZJ3YtGZdoE9mnuTxK6BEFMlHFvYMP8bEe5EU5qiHGQKBslwsmE/CiRjXjkLb7eYX1gBR5Y0YeiGptk1U0HFveTxkVGcgg+nuaKkZavNdkHliEhbb8lBVtc7MS3PS0Cy/oaT+cVj1SyyUxpQ/lp+6vfkH9oPRGw1jAADPbGpokygU9PbddPlI7y4sDOh0HnQr/fx/fbRMREbLJb2gtiv5fBtL4lhfdR+zbsZTRt+aET+4a82B13Px5VrI4TPHiWBPFpvTSQ0CUIYuKMEgk8KSY5JJZmLRjFOxgXhqNEp5KRt2TkMN6HpNUjbk1gAsTzfLQMGzlZ7LFUpNkIkhXI4l5jNkwdL/CQFL6aFeaoTaajSorq+O/i4rqm21AFPopEszbj+5MJpHh/crIIzTnIjxtfH1tXPB9vfL8eOgayiLrhYD6vjPWixkRuvNjGoGH5QZ/H20x7ARkWre7X9nHFRDIinSbaxxnBmWQKvaOsf5R2T8ou1a/dYesadb8dZx3TDAldgiBOhLPytE16SGzYMGva8mlDxoP2Q7yM77A+xK0e8aHknn566dXD4seETaDryYrQFcbxFGE13e7JUqCK/KHKZqwQRHwdcVg/1xrGoSgjsybkJDHy4caHypM5YtcaRpjH13ZRVA/y9saFZjUr4/ZGsycfb/wYpHmW53LKof097rnbL5IdZ5TzKM1/PErfktaAfn2cJMntGUW0HbdPmnXgfT+J6/0otohRtjvt2Ix6nxz1xWtSlfDOmkn2lYQuQRAnwll62k5qnaMICBZZTZv4lBbdi/+dFHj9xExSfCeHkpnHNa2/8YlSLNrL1smKRETe3VhGhqitAN0sBYcf2oMm0zGB+rCmHRp2jvtwdzpWNJkqGc3UrDDnbCS07fQJW2sNA19dLESR33i+VtY/AD1iKemjHZbfNXmc4qIrfqxGHdbvt8yg1GSp0WKhfznhowieUX4z7Dwft/2Rfh/zvk/6eh9X5A6aUBtfLu1cTbtPHkX4x9tLcpb34qMwaWFOQpcgiBPjWbmxxjnKzTVuV0gWNEgTQGm/YQIPGC81D7MFpPU9HmlKi7QykRsXtiyjABOfqsinTnCLl55NVhpL9snzfVQzEu7udLBcUHqsEWwfMB/u5XIGNcPpiRgn9yOLMPd7oWDlj1luWnDoyZQQ0UcsMcGY9B4njx3QWzmObVdc/I5SYSvZNqNf2rqB50dsm5KC4SiCZ1wrx3HbT7489PvNccp9TxLWl/goSr/lBk2SZIwr8iYZET4vTFqYk9AlCILoctRIQjyyOiiSmyY64gIvXj43zfPJ/k6zIDysaT0RYc/zw2wAIwzxMhHORGy0XUwcxrIcMCEb2TNsN/o3Y6dtQsJBNJLZLVjFsrQqZVrXMhEXsmn7Mbl/4vumJwIs99o94lFhJsyTYqlHXHUFY9KPnFwPgGg70vzCo1TYSr6MsP+zqHtalom0aDHb1vj/04pujEJ8X4wrXPu1N8pv4i+Fw7zMw9qdBKPYEgCMZFUapc/jirxJisLzZG2YpDAnoUs8V5ynC5k4e0YZRhyXtIc2E1n9REe87G080suiofHIZ9IeEFkQ8kpPRFgQeBRVORqST8unGq2rY4WRw451qDQryzOb/G08fVUyr2xOFmH6MXuA3ZsJIL5vkv5f5tNNkjYpkO2f+ES25DLxz9j/4yWA4/uCle8FEE0yY9uYnISXtI/kZCEStfHvhkUek6MAyfy8LKdvMqo7KPI5qJjEKPfAZCnj4zLoBbKfIBx1VOMkvaej2hIGRaXZ/8fp87j3n0mJ3GfNxzsqJHSJ54ZpvpCJ8el3PhwlUjTo3EoK20HtMhEbj5YyO0F8Ile83Yc1LZr1n5wdz/48rGnREHjSz8fEJhvqZ0Uj4tHpfv2Op/0CQoHUMsPh/ijNWTczQprXNNnXeAYGJl7j4j5pAwl/4xw6FmnCw/P9KOdtNSuF/t2YLYDtv3j0l20jewmJi974+phXODWjwxChljaZMCm609bbL/LZTyCmibZ+wrOalQ+KZ0xARA3q0yhR23HbPQ7J62NQnu9kX9L6NYp9ZNxn0kk8w05iX54XSOgSzw3P+oU8LQL9vGzHoIfvKC9FyaHdQQ+vnlRcAwRxfNidCVtB6EZcZQEPaxqAA2HzsKZhMStFn/fr5+VyBhttK7XiV1zQsf6ltZHWb5bua6dtdiOrDjwvwKO6HvWT+RcHDe3Gh+ojsSl3c+bGvLLxPrRMO1x/RuqpnJa0OLBtZOWIBZ6H6frRxDiJQ4/YTUZ/AUQe3LjYZcu0DDvKTtGvolo/4vaV5Odx0d2v+MOwkYJDbcZEW7/JdvE+HeVeOY5ojYv1ozJpkZt2fRxlHYci/n2Oz7gBmJMM2Dyrz8ZhkNAlniue1Qt5WqLR5207+kWYgOFleJPRseTDiw37xicUsahlv3aZyGqZNsqyEAmwakbCk5YJVeR6+natmsOW7iAnCz3rTLZpun5obcCBHze5XBTl65YUTorG5P6Il4LVbC8UkqqEzY6NkiLgUV0PLQvdym3JIfm0Igg9grcrduN2gJ6iEQKP3Y4dCkKBj6wIbJl+VoO41WI+r4S+aPkg8ps8tsmoazKKHZ+8d5SX6UHnQvy74xZ/YMeR/XtQGd9B0cZhL3/DMlWk/fu494RJ3U+OcvxGWfeg9sZd57MesDkLSOgSxDPAs3BzG/WGf1bbMW7/0vqYjBAOHNLs+mXnCyru1fSeCViDxENOEVFUZTRsLxJggsBjoaj2TLCKlpeFyF/L1nmo33YonrdaBh7VdWy2jCgiytbv+X4YiQ1604TF+xXvb1zkFkQOn263oQo8KqqIvY4ViXLN7grwmHiOtx2P6m21DGw1jeilgH0XLxahWeFktqdtGy9Ws5GYjqK+wkFRivhEt/i64raOoir3DDED6JlFn4y6xo8hi7zGI7JxMXlUxomKDvKDJpdJerzTyvgO8pOOYjXod333e7k57j2h3wveURlX5E7ixX3cbT/Pz4HzCAldgnhGGPfmdppR03Fu+GclcgflsY2TFuVNa2PQkCYTQCyy+GI1G+WPTbM4sAd13IJQzUgHWRNst29uXFbk4Vo1lyq8ma1gbd9A23TguC46hovdjh3lXNVsF7sdCxIfwPSCHoEbFyfx6CgTSvN5BZttGy/P5WB6PniBRymnYLGY6bUgJASuZvcm/ddsF54boGU5aJlOT3SXeWTj++71pWJkx9hqhhkPNNuNIsBp2RtY39OsG8ljkxTIbB8kl4u3x/YRi8qPcw0OEpOD2on3p995Hj9eaS9yg87x5LYOE6WDrol+EzNHuScM3JfBCMucAP2uZ+J8QUKXIKYQzRo/f+dxGPYAPOubf78H0ig+XBYJO8oQI3AQ0b1czvQMH0fr6E44e1TXe/y2LGtCVEghJWtCPDMCW2d8eyIfpu3h8kwGpawS/snJWCyqUToxVeBhugGyYtiO5/dOhAJCT2zczxrfzpW5PAQ+XE9ZFqCK3EFp4m4Fs7hIbxk22oYDzXGjymw5WUQ5L6OcVTCfV3oqtrH1s8+YoFRFDjsdC5WshPWm2Y3sOtFEvkHRzUEvOcljnbQzJC0cLDNGy7RhOy4e1XWoPH9oG/oxKMI5ynk6SIgmrTX97Dr9oquHXqyO8aI6qN1+JCPAaW1G53FKdoqTZtx7ylkzrG/nue9HhYQuQUwrI+TvnCSDRO64ky1OgrQH9qBhVrZMfBLQUYalNcvFK/P5aJZ/8js2w/31pSK2dAfzeQWedxBR7TcRKc1nGd/XbPjedH0sFTMoqjLm8wqqGQmqyEU5X1kU9GolC1kWMJ9XougpgMj7KvA8nOBg0prn+XhY03oispfLGTzt2KEdQBZDwddNXxZFRW0Xu5qNrCzgSdOKrAZsm1kUNp5lQLNdtE0nSnvGJr5tNy3kZAFP2zYqWbEno4Ln+6FFw+iNrPY77mlR0Pi/06wqBy8SbpSGTeB5XK1k4eBgX/U7L4b1adh3aYwrvI4SXT0tklaXQdHi5LV61PUdh7O0Zo3CKB7q8y7UjwIJXYKYQtiD+TzccMe5+Y9yo51kxGYUz+Oo5XyZ6EsTTOEDWOr5Ph5BY17JeCWvnY4VrSeeVizebtJnydbF0l3VdDuaJMX6z2bzC92hfs/3sd7oWhJkMTp3WLssopvMO7urWXDcMOvAw5oWeWIvlbpeVttFJSPh810NywUlLGjh+WibDioZCU9aFpZyMnY1K2qPWSmYuI8ijbKIgirB9ILIwrFvuMgq4YS0SyUVCBAJTTbxzrC96IUvud+TxzxtBCQpRpMikr1IMJ/vfEFFMXPw70GWmWT0cdD5ddSh/VGvvWGi/6xg5/Mgm1Cc5ETBcTgrv+1pMux8OO9C/aiQ0CWIKeU83axGtTQMi7b1K4k6StRsnL4Ou9nHPZFAKHILIocHe53UPKXMpxovFRu3RKRF9y6XM6jpdjjJrEsyO0HcOxovx+v5fpSeLL4vWPSRDe23DSdMscUH2GoaUcSUtet1SwADvblcc0ooPAuKhLrhopqVuum1hJ6RBMv18dpCISpoIQg8FosZyJKAKzMZCCKHgiohJ4uYyymoGc4hMcmKTdR1N7J/aLaLF2Yy2DdcXCqFpYqLGblH1As8jyuVbFQpLL7fDwnPmLc3ub/6vVjFXzTShuSZoE4rIzwo+sjaHYdR7BjjtDXJyV3Hgb1MjPpyy5bvZ1kZxCjX/XnYJ8dl3JeeaYCELkEQR+Y4N/5BE2f6LRdVAUsRcIMqR41Lv+Hf+FBqXDRdq+bQdgNcn81Hw9vJfjEfLYuyxoUjm7iUjCLvdmwsZiXc2WxFvwUORJtmhRHVrZYBiQsFW2Q5yEipAnq+oIY2CllEVhawUFAhiSIWS5mefLfM+5iWy5UVqRAEHpXsgVAP88k6kaDPKkLkU43bMXKyiGpWjiLHOUVEzXAOhGxXZO9qYVT3YU3Di9VsZP/IySIcAF9aKkVZD5K2ErYPo/a7+z0ZnY9bPHqOu+0eytow6DyJw479w5oWvnikRIsHpQuLR/NHYeKRuD7ZO47DUa/DcewIg16UR9mfyZfOo7QxjGkQy88aJHQJgjgSx73xD3s4x6OW8eXSkuv3S6Z/3Ic/ay85WxzAIX8ssx3EvY6sX6wNVeR7hudN14dme6FPNSZu2Hpfmc/jN09bkf+U+WojkdyxAA4oqFLkn50vqD2lf5PbwookaLaLYkYGz/NR35mYje/DXCyCPl9QcXeng+WCEn2m2164LlnEbreEsCqGRRkEPowutw0Hux0ryrQQ7dNuyeOHNS2KYEd95sLUaTXdgW57UWaJeIqsNDtB/CUgXtghzWft+X5UkCJ+Xu20TUgcoIpctD8Gnefx79g6QpEsRZXm0kgVuW0TywUl1dM9iKOe52kvmmnZO07ipXYURskfPMzmMeq9IPlSe5Q2Rm3/JDlLMX0ehTwJXYIgjsQkbvzDImLJZP/96PcwHBShia+r3+ee50clbZMP07g4itsG4pHlnnRO3clKLD8rQxU4NCwvmoQF9JYC/tqF4oH/VOiNrqoiB93yonWxfsYFIHtos4lZvu9Dd7rWCtuN/LPxof14jl1WPph5kF+Zz+NX6w0AiDIRMLKygJwkRJFUzfbC6CAHZBUhXKgrsnc6FjzPx1bTQFkRcHenE20DsypkZQGP6xpmMzwe7xvRPo5HWpOR/OTLRfwFJWkrYPs0+fI0X1DhBIgm1bFyvP2GxJMRf1axTbPcKJI/qsBhoxaRX/sEOcqoSvLzUTjuvWKYyB01WjvKetKq8CXbGHW7RxHLkxaGpyWmz9u6B0FClyCII3NSfq5hQ5ajehH7eTLj7fSL4ACA6flRedm4EGSTr1g0khVsYBOoWIow1qZmuVF6rPg2sShufBviE3DYxKu4/zS5/QHX692NV2Rj/9/pWKhmQj/tYjEDSRS7vmEv8s/G86zqlhdtx+VyBr9ab+ByOQMAuL3RxGtzWbQNB3XdjaK5OUU8iCTLoTBeLigwvQCL3awPLP2X5/koKwI+39OwWMqgYXm4VFajbWBWhbru4sbFMj6vmZjJiFEqtvm8Ek26Y55t9mISz7fbzzsb90f3nZgjHxSViFs40s67pKBmtg42MW1coZdWyCHJJMTEqP3qJ9DGtVecBJO0bbDIP9A/y8Owe0q8rWEvEZMWhuwF7qwmlJ3lugdBQpcgiHND/IbfL0o76sOBPbSGldxlUdR4xK5neLxbwpZFcNcaBqqZMIUVAFwuZ3CvpqOalQAAn263UVYE3NlsoWXYkdBU+d40SZrVTcfVtqPoHxOozN7A+hi3DzBPr+f7MN0AS8VMz+QlFi0tK2KsDK+A+3UDr8znu2JbwoO9Dvgg9AGzSWosAplVBHy+q6GakXB3p4Mvz+dxd6cDALixXMK25qKQkVDJhj5fzT6IrHqejwd7HVSzEjbaVk9kMrQ1cBAEHvfrBl6oZMJiGN28uTtd60M1E/729aUiBJ7HpXIGZVkISw13bQCslG+PZztWLpiRlvf37k6n54UjLVI5qDjIIPESt64kPz/q6ELacseJsMYZZh1i/04bLZmUNei4TEpYJV9aGPH7wrB7Clt+lP0Tv//0a2dU4ufEWQrN8yZyARK6BEGcE9Ie3sfx28Wja0nS0jrFqyuFk6rsKDIH4CCSm5Gwq4URUiAUrlcr2W7k18PLszncrx+k2WIVulhe1bjgiX7bHc5nQ+S7sUwLrL9lRcSdzRZUgcda3eh6e7lueV8nKrMLhBHPjbaFSkaEbntomw5eqGSiTAwCz6OgSnCD0G7AItGsCttex0ZJ4bGrWZjLy3jSMnGppEKzXdT0MAcuewEw3QCe58N2POx0LOi2h0pGQk13cK2aOziutoua7kT7+WKpm2Whm5ECCCfQ1XQntBPkleihPZ9X0HaDHh90POrNPktGXdOydDysabiQl3F7oxkdi7TzLi2CGbcnjCJCkmJxUjlMJxFhHdbvtHK9af04KqNGRifBOOvo92IdF7nD8iOPKzgHpaA7LXvINENClyCIE2PcB8yoOTCP+4BNip9DE3CCgywJ0ZB3NxJqej4Wi5nIaxsf3r5WzcEJgNcWCuFwd8z/yf5+WNOiiCxLncWyD7Ah8rluHlgGq652qaRivWnipbkc9g1WqMGD7wWhiASQk7qT9vJKNFFtsZiBE4STuxiXyxmYboDlgoLdjn3gAe5ut+kGUeqvrCSgZoSWg+2miYIUViRjOWvDbeUwn1ewWMpgs2NHuWwBREJaFbjuvvSQk0QUVSm0VXQzMKw3zTDfcEz0M/8wE76RhUQY7i1NZunQLBfVjIQvahpemMlE50A/fzeD2SJYtbhkerk00qLCk8xhmrbcpIROsi+TFlCjjLZMcl2TmDQbz+IxTPyPexz7nX/j7vdpF7lHPYYkdAmCmDiRX3TEMsRs+XGrGo0jNBhpKcqA3iHn5KzzyH/aFaSHvLax8rw5WezJVxtV94r8vAJ020NNdyKxxkRT5MtNyZhwqRyuN9utBHaxpETiNqvw0G0vFA+G01NWl3lNAfQIfNMNq7Hdq+m4UJCj6mU7HQszWRE5KRTFj+o6Kt3ote54yGckPGyElgTmMc7J4f4BQt/xfFbE6l6np0Qx8xoLAh9Gbg0Hmu1huaBEtoiSIoT9kMNjwPIJR2nF2MNfFqMo+KDzQUscZ3Zsv7RUgtP9LB4J70fSp9svEpz8TVLIjTIKcRRYXyZJfBsHrXfQ/we13W+0ZdIME4yjRtCTfw97aRm3j5NoZ5o5zgsLCV2CeA44jeHB+LqY0BulDHH8YTpOBCPtxpeM0vbz+A4aemS/TfuMPfzj0ahkhDguxuK5cpn3tGF5WCxmoogrgChqGY/+JYfSa7qDezUdZVmA7/t4VNPQNh2oAofNthOVGVZFLkofxoolsG1udD24cfEylw/Fsd8t6asKHByfQyEjYatl4kJBxv19AzlZgOf7eFwPo6G/WdtHWRGw1jAioRiKWgFbHRuZrr0h7kFkEejdjgVV4FDNSrhX0/HKfB4AIPBcj5iMsksIHB7WtEP7mO3b5IvVTtvsGRpnf+LHke2HsC+jzdpPitZhAiqtbHP83+N6dgeJ6pMYth7UbvL606zxCk0M6+sk71mDjlFyG47b5jBO8148TRznHCehSxBTziS9e6MQj9aMUoa43wSQUdfDfsNyn6b6b9EbZe5bIavP/5Ofx1OL5WQRG20rGvJny4Zi3+vZF6bnR0P6zLKg2S4kDlFUk21LXKTttE1sNnVcKSm4v28gr0qoZmUYjgfd8TCTCfO2XqvmUFRlPG3b0GwPmu1iq2VgqxWm5mLR3TB/b9j2VsvEvuFCEXm0TQde4CMnC+EkNYHDJ9sd3FguQbM9WG6AC0UFn+x08PJcDnUjjIuWFTEqVpGTRVwuZ5CTe4tFMBtCWREQcAeliF9fKkb5hE0viEolR8fM9rDdMtHUbDR0KyquwY6DKvJoGXb0YrXTsSAhjNSyynItw45EcFzwCnxYqS1e5GNUhnkwk+dn0vfKUrP1W2eaUB8WQT4JxrJaTKjQxGnds+LbMGmPc/zv+OfnMf3Ws8JRz3ESugQx5ZzFJIXkUN+oyzN6hM6IkdecLKKuO1ERgmR78ShzMtLYs0xs3cmysUygqAIf5ZX1fB9+N99utGy3qla5WxksLn5bph0ty/qvOy46poOWYXejqnyU1SEcWvcwm1Wwo7u4MpPBtWoOkiTi1fkCTDeAKvBQRQ47bROP6jokPkBdM/CwG/Vtmw4+3W6HGSDaJjTbRUOzcOuLHQhBKEKblofrs3k0zXC/lFQeNc3Bi7PZKNNEXg1TlL1YzWK9YUaR6Xs1vSf9mekFMN0gStXERO21ag4Ny0NRlaLjp1lhtgWz28+eCKEXZmmw/AClnIxyVkFdd6O0YgCi48jsETlZgANEVoqyImBPs8NUccChyPkgK0K/c+8okcDkC108L3Ja+2zUgPU5vq0nxbgCLBnh7rc94zLqPWvU/o5yD5nUOtPuG/F1pfmSR7V3EUeDhC5BPAc8S14v9qB4WNMGJupPY66bpqrfLHoWWQW6WQ78gyhfMrqTnITC2hF4HjXDQbnrJ63pDrKKEBVuYMUMAPSKq66VgK0/yuUqi9jqOFguh9WwdtomdjUryqiA7iQyQeCQlYQwu0HbDAtMeGHWBlkSwipkno8LBRlNy4frc93JcRxML0BJ4fHZdhuqwGO3Y6NtOcjLPL6o6ZjLyqhkQn9uSQn71zR9FLNyJBiZzeJiMUyxVlJ5PKrraBl26PFlJYlNGxIOqoolxWQ1G1oiJO7AsgEAvMihoEpRlgvNDnP01nUXL82G2RZ2OzZWyupB/t+CGvmQdzoWHtX1SAAz60PD8nClko2i2XGhkXaOpEVgk7BlBy0XFzzx38X/PSxayl4e4v06bkRwVPF+lHYmeZ8ZRXAeJ5/tSa2TnWNp6RH72VmGtTnpSPDzJppJ6BIEcSIMeqAOgj0oLpfDzAZp9oe+4sPzUx8w7HsAUUUuNgkpKYzjXs94G/Fl5vNK5GutZiXU9TBS7Hl+lGOXZTVgXl22vsjG4IZ92GoZWMxJ2Gw7yEoCigqPjZYV+UiZWA4QisfHDT3qpyqEEWJmmyhmZDQsD7M5GcvFMJtCSeHBAdg3XMzmQj/u60tF+JyAS8UslkoZ8N1I3HrDAMDh8X4oZCUO+OhJA2VFiNKFOQGQVyRYToBKNoziOd0sFaEoC+AA3ehqr6Bkom0uH9orrlVzqOnh3zNZBfN5BarAY6tlwHbCSO8r83ncr4fldCtZEX/Y1XCtmuuZyFQzHEh8gJIi4OOtds9316q56ByKC4008TCKBze+fJq3PL6tyaIn40aAk/8epU+DiJ/baesbdeTnPAzBj9rfSY5oJV+G04ifY2n3oGRfRunfJLfhPBy704aELkEQE2dYlGvYTTaeyifNZ9uv7bQHTHy5nbaJ5UIoUotqGK1kE56Ag8hrckZ/PILHUkwVVQlz+TDzwaWSiqwkRCnFrlVz3aIEEjzPx283mvA8H23DifJxshRbdcNFVhYxm5OxUFTh+BxerGYjH63n+2ibTre0boC57IHH93ebLeQksStGwwIRrCjDRsuC7njRNsxmZSAISw7vtE184/IMHAAvz+aQk8MCEXOqiI82mrixXELT9FE3HazMZLDeNEPPreVCFTmUFAGmF0SpzNh+ubPZgsQBvudjq2VGVonk8dItD5WsGO2LnbYZidOa4cB0gyh1WU238fJcDjXdCSu2dfvPji07HrIowgnC7UmeG8koPYumjiIwkudY/CUo6S1Pnpvxl65BQ9qjEBfQyc/Ham/ABNFxhNRZ52xNE5L9GLTcUewao0T7B0Xr+302qk3rOIwi1qcNEroEQUycfjf7cSITfR/obNLTCG2nCY+G5eJaNZcYTpd7JlOxGf2p0b7uhBuWBuxaNReVe2XLsRK2Nd3B53saXppR8dFGK8qPy0RwzXDw8mwOq/tGVGK3oEo9w9S7nbBAgyDwuFrJQuBDpfKbtX28XFHxD3e38Y0LRfzzag2VjAhV4PGkaUHhOZRkHr/daOHVhQIKGQm8wENzPGy1TDysaZjLy7hfD73AMxkR92ttvDqfiybGzeVkOAGwWFSjiLTpBqgbDq5WslhvmtGkqkd1HZVsGIE2vQCVjIT1htkj9lj2iYADdDsU4fHMFC3ThuN4kLggFNIxAaDb4cQ7kQvQ6np5NdvFbsdCWQlTocUzWcTPgX5R+mHEI7CRBSHW/qgRu/h3cSvMOP2YRN5WZr05jmhifRn0/XGZpB3hJNo5ipg9qb4chWFifdogoUsQxIkwyYcA+x0TReOsM/lAig9rM+HDfLUsLyz7XWofDCdV4LCyuw9rGi6XM1H529mcjE3NxpcWClhvmmiZTpQvFgB2Oxa+vBCW2GXR2LggujqTjWwAmu1Cdzx4vo9KRsSnezq+uVLFzx/v480X52B6QU/Bij9st/Fvr1bw+a4GIIzmfrHbQUu3sbrXxr/c3wGPUPgKPI/XlspoWj46lgPe97Hd7kZyu9XVtlomOqaDiirh0+02LhRkrO0beNKycLWSRV13sVTMYC4vw3J9KCIXPUhZkYe9tg3LDZCVBLRMJ7J2AOEEMicIxf58XgmFsefjccPAhYIMnufhcwKWiuFLQTUro6BKcAJE+Y3jNoVI4Cai9GkjA4M8ti3D7knZNk4UuN93o/gy47+blLA6bmRwUF8mIZ5G9cFOIqJ8nHYmHc2epD1hGMkRiX7LTAskdAmCGIuTvgEO8jH289/2a2dY5IkJmcvlTBhlzUjdaKsc2gASfsYwZ64QTbyKZ2OoZsKcsHHfKWtbEkUEXCg0a5qNpuVB4HlcLmdQ6ObWncuH1gLd8sLJVd3hfFatzPN8bLdMyCKHe3s65vIK5vMqdMfDtRkVtzeaoVXC97HTsTCbl/FnVytY69i4MpOB5/vY02y8UMmi5XjgeR7zRQXbHQdzeRnzeQUFVYIqcChnRHxR17FQUKNSw5YTICcLyMoCmraHG8sl/PpJE4rAQQLwu6etqPCE5/vYaIf5aSM7hRBWPpvJiqhkRDxphWWUmWda4sLiFK/M5yEIYeSeZZ+4Us6EZZXLamhd6Ba3YJN+5gvqQT7jjtUT/WcRWNMN+8DEM/usX3QrHoEtZuQeH3K/83OYLz3pVR4kMoaVwz5rf2y/z48r1sbx3k6CSbVzlOORZrE5aeLn1jjn37MMCV3iuWFaLtqz5KRvgMN8jKMOPScjFmmTgeJCpqbbuFRS8Xg/LLN7d6eDksrjcV3v+R2zNcTz0TJ2NQuVTBjRZUPx1ayMtYaBiyUFXACsNQ0UZT6cxJaRwgwAsghV5NA2HDxpWZjLK1Eu2Ic1LbJY1AwHs3kZm80wArzeMHGppKJuhMP6F4sK1htmlGrMdMMUX68tFOD5PnTbQ16VIEki/vJaFXlFwoViFq8uFKPMCrsdG67vY7Wm49X5HHTbQ8d0AA5YKKkoqBICAFcrWdzd6eD1uTw22xYCLkBZDdO76XYYIV7Mybhf03CppKKmOxCEMGdu0/JRN1zcWC6hYXmR9aNheXhlPh9Fd6tZOSx3XM3hScvCjeUSPt/V0LIcOI4X7Wf2ojFfULHRtiILSJSbl9lQbA+a0z2fuuK33ySvpB82p4jRywZ7yWH/Tp67gyLDydRm/TiKED4vHHXYftQ2zts2D5o3MIhkkZjT4rQnv50HSOgSzwXn+cHwLHHSN8Ckj3GQ3zZOMuoaj1gkhUbye6AbKfZ8XJnJRim7LCeIhrvjyxcz8qEhaGZD0G3vIK1Wd0g+JwvISSJML8AbF8vouEA+I0UZInY6FvbaNrY7JkpKmLpsPq+gbjhRRTDNcnG5nMGTpoWXF/KRr/bxvo6LRQU8z8P0AlytZNG0PNR1F77nQ+KDsP2OHWZtEDjk5DCDwlcXC91ctxI028WDvQ4cx4Vp+1AlAfuGi6dtC4rIoa53q8nZHnwvwKN6+EJwv67ha8slfLGrgQOw0Q7FfrFrJ3h5Lo+a4aCakfCorneLegSQ+CAs69ud4FbNhhFl9hLBcsi+vlREw/bw8lwOaw0DL8+FGRSsbuGN+CTCKOVa97z5dLuNxayE3Y7dtaZI0TGL2xvSziWvWyXu0HdOGGXWbDf696GKeH18u+OMRrDfDfpuEsPOTKSdJePcmyd5H59UG0ep6sgmxbLS1qfNKBPRpkXkAgAXBMGEaplMB61WC6VSCc1mE8Vi8ay7Q0yQcSeiEOePtGPIHjYH0VG+p3JZ/Hfxv4He2fhhIYUwwgiEEReJD9A0Q+Gb/D3rR7xIRF13w5RbPB99FgpeB5fLGdzeaOJiUYHnBxCEMOpaVgR8vqchJ4UTqvKqFPlifd9HRZXwtGNDdzy8MJPBFzUNCs+jbdsQOQHFrIxKNuzLXsfGbttEwIUpwIDw7wt5GU87NioZEbrjoaBKYdYHWYAq8Ph8T8NSXkbdcGB5ASQA6y0dqsCjaTqo5lW8vlhE23S6hS4kWF4A1/Gwo9sQORcbTQtvLFfwuGng5fkirlayaJk26rqL3Y6Ja+UMOm4A3/eBAOAFHiVF6FoChMiDzHLiXqseZE/YbBlRkQkAUIWwyly8qEI1K/dMeisrIn613sCL1TCHbs1wkJOFaDkgFMhp/17d6+BiSY28v/HzKH7e7HRC+8WwQglHmQSXdp6PY9npl4YsHrX2usdiUoUejso4+2cS9/FB++gobSVfyEdpM55pZJR2J8kkt/8sGVWvUUSXeG44yZvGs9Tus8QoQ5rJSWpM8Kbtv2Qk9mFNi0rT2o6LpmZFEbr5vIKNhoULhTAjAxtqTFZKY5E6gedxqaRGHtswV24Q5Z9daxhhFNULogIP83kFT9uhhzavSqH/VbfwtKFjp2WC53n8eqMJiQOWChLu74dlfks5GV7AYb6o4Goli6Iqw3QDIADcwIfv+9AdD5rloGM5+GSng9eXivj9VhuKyEXV0tqmg99ttlBSeGx2bFyfzWM2J4MXOBRkCQ3Tgel6yIlhbt2sLGDfdKFZDu7vtGB5DlRJgCSIeGm+hPt1HRdLMn73pIadjoW1fQMSB7QtB1tamD0iK4UlgH3fx1pDj/oR5s718GCvg7Ii4M5mK4qWh7l1Q1sGyy08X1CjSYSRpSQWoW9YLt64WEZOEfH5ntYtS3xQMCIeFU3aUK7MZNGwvNSXpfg5VM1IB3aIAefwOBHLtOXHaaNftDfZRk4ZXJ3tNDnNyXSsjWEib9T776ijTkmGidyTHIGcNmvCMEjoEsQxOKkb0vNotejnbRxleDWessnrluONyt322ZehOA6H7efzCpqWj9lu+i+27KsLBTQsD5rtYbmg4O5OpyfvbsuwIy/ubicsM5uVw8isZrvYbOiRnzQsf9tNbSaL8Pywn4rIYa9jY0+zwfM8CqqEzbaFpmnhd0/2cbkkY6Nt4s62hpdnc1BFHnuajbIqRoUlPt1uw/d9LJRUqLKMC+U88oqEWsfCo1obPDz8491t/MXFEj560kLdcOH7Pn75aA8iF+DznRZmMmE7ZVmA4XgwXA/LpQwulnPQ3QBXZjKo6y5mFBEbTQMXyyo2mib+aLmE5XIery0W8XevLOCjJ22UMwJ+/7SJ5ZKCz3Y74WQ2L7RJhCWYw0ltrEpcVhKi7AmLRbXHr8uKVMzlZZjdDAqsBPPlcia1pCo7J8KXIAcvVDJRSWVV6H9dsUlqLG0co59n3PR8FFV5oGAYVVQMGgYfV5j0eyFMa3eUYexnhXG2Y5jInUTasaPu19MQos+LyAVI6BLEsTipG9I0v3H380X2qwsP9KZi6vfwiE8cYpXHolK8iYeP5/lR1JWJLVZKl4lQIBQy83kFqsjh4602XpnPR5HdR3UdbcsBEObFXSmr+O1G86AamO1BkTjcr2uoZiU8rGlRdgDGvT0dhu3h8b4G3bTwqK7BdANUsjIs20NJkbDdcdDQbMxmBaw3TdR0ByVZwMdP9zGnivjHu9vIAvjNWg3/fG8XfOChYznY65jQXBf7hgee43GxlME/PazjjYtFlGQBn223cbGsYr1h4mI5h33DxVJOxq83mtAdD1fLGTRNF5dKGVSycne7OYADqnkVugv8mxfm8HjfiKwTn+9peGWhAM/nsFhQcH9PR1EN96cicKjpDhaLGSwWM+B5HtWcDA6A6QVhdgeRgyrwPX5dzQpfRDTbw27HhiqEkwSrWSmyqAwSJvN5BU8aYZo0ANFEtNQXqcQkNbYcm1QYP4daRtiXURj1Ok4WoDhKG+P2Y1peqie5Hce5/8bPkeP0Z5QXo3F41o/vcZhqj+6tW7fwwQcf4Pr162g0GgCAH/zgBwN/Qx5dgjg5hvkHgcMPChapjU8sG2UiDvNqpqWE8nw/ElKe50NzXOSksJwtEEb2mAeUZWCwnLCIwaVyOIGMA+C5Acr5cOj8Xx/W8MZSIcxte30WD2saOoaDrBJWNLtQCIszLOXDVFU7bRNFhUfL9FE3bOxpJpYLGVyp5rCnhZPH5nIyNloWLMtG3bDxpQsVvL5UxM8f7EFCAAccXpnP45eP6rAtBz4XoK7bKGcUiFyAPd3GxXIGHcvHXEHB5WIWW92XB98L8+W+uhje53iex2ZTBxcAGUnA46aJP75cxpOmhb2OifmcDJ/j0bEcBF6A2YKCzbaFa2UVNc3BvuXgWjmDB3UNxYwC3w/bvzKTw5OGgZfm85jLKT2pwx7v6/C8AJbvY7modiOkUiReW4YNcEBddyFxQFbhsdkOi2yY3ZeV+LmR9F8D4X623TD/LcsuEf8NcODPZR7hNB923APM/K1sktlxSTuvT3NOwbTMX5jkdkzKC5x8aQJw7GM8rsc2ef5OC8+9R/fmzZt499138aMf/Qjf+9738IMf/AA3btzAW2+9ddZdI4jnlmGRkqSHMBnhSnopk8SFLMuXynLhxieNxaO9ghAKICZyc0ooeJlF4ZX5PJqmj6wioJIJ179UzIRD7QhTjrUMGyVVxB92OvjyfB53NltYLijgBR5ZScBcXkbNcOD7PnY1C7rt4XI5g5blw/LD1FwZUYAqC6gboYhaKKgw3QAvzmZh+wE6lgdFDLMwLOYlbLQMeL6PRsfGQkFBpaBAEkVcLGYRAKjkVFytFuD4HPKqCMN0cWenBdfxwCOsMJZTJfA8j8VuAYaFggrTD7DZsXClpOJ3G020dQst3cJm20Rdt6F2J8J9sdPCQlbGg7oOXuDwQjWLL2o6rleyMBwPWy0dBVnA07aFr10shenOutYAllM3r0rYtxxkpHBSGisEEcGFKc8ulVVIkoCm6ePGcikSuVstAy3T7k6QCwVoy7R78h/PF1TIYm9FsHgWjfg5pQp8atniZDUz9ptJiNx4e5OKBh5l/aMSj4CftyjhJEXucco0p33GqgKyc5ONLB1lH44TcWYjEv0sPs8DUyl0G40Gvvvd7+InP/lJz+dvvvkm6vU63nvvvTPqGUEQ/W62/TyEwOEHyKB8pZrtRmV6c4oYiSsWnY3bGZL9SaYdY5OcXl8qRtXJGJ7v40JejtJ3LeVlzOVVOAj9pPdqelgEoovA81guKbC9AJ7v415Nx2xOxmJOguGEftimGW6TyAHrDQMlRcDvN9uwvAAvVLN40vWZPm2FJX47loOnHRNZScB8Xg2tGJKAyzMqbD/AbF7FSiWLnChiS7NwoZRBJSdBcwBFkXG5FBaSeFTXsVxQsNGysFxQ8aShY6NlwPd9bLQM7Gp2WIQiI2KzY0ISRVQyMp52TCwWFDRMF/uGiz+7WkHL9lFWRbw4W8Cjhok/uzKDvbaNlmFhq2VCs118ttOGxAe4u91C27Dge+EB02wXZUXEnc1WZEG5WsmGojKvoJINq9ixKmiu72OvE/qxWRYE3faiYx69NHVTlrFjm3zoM8ErCKGVpV8qsJ4CIYkS0cclzZN73mCRbJZD+DxbHo7Tr6NYF5LiOLmvWES1Z/IfN6DBEfo46nKTfCl7FplKofuzn/0MKysrKJfLh777zne+g3fffff0O0UQBIDBD6B+HsJ4FCT+EIo/VOI3dDYrn4kWJm5emc/jF4/q3QICvfl1gcNe3pZhR2Vj2Wx/tqzA82h005EtlFTs6C5eXypCsz08beiQuADbTROa40EVQ9+pLIrIKxK2mwayImC6AZyAw5culCGKIl6by8NwPHh+aB/41eMaciIgCxw+3dVDS0FNQ4AwPVf8OfmkYeBqWcJaXcdWy4LChzYDywvgAHjzhVk0TBerdR3XyioqGRHrDQNtM4w0/2q9gb+4WsEv1+p4YSaDe3s6fAAty0XHcmA4HjbbJsqKhKwkQHc9cACeNgzkRMBxXDzeN3B5JoOsJGDPcPE/f+0iPt/VwAs8ZIGDZrrY7dhYLip4UAsrplWyCrZ1O8qKcK+mo6SGk82Yj5qlHvO8AKoQlhXOySJsJwDf9VjvdKwww4PpQLO9Q5FdJhyTIjXpC4+PHiTPzWSWhqNMOhpnWXZ+HqeNSRLP1DBuXuDTZBIR8XG3K3lOpO0rdi+Kfz+umD4K0zTh8ChMpdB9//33UalUUr9bWVnB7du3I88ucXI8zxfWeeE8HIN4H0Z5AKVmWUgp3MDaYpPDWBUxzTpI5B9/iMwXwopn37hQjLInDErkr9kuvOAgIuN5YaUtBIg8pn73u4c1DS9UMt2UWBx0x8OW5mC2IKOoSj3RuawsQBA4eEG4nMSHE7GykoCW7YV5X1UJvu/j2kwOaw0THIBrMwru7bbQ0AxolgPbDVDNypB5DnXdxiuLRXy6reN6NYOG4aBmWGgbFjTLwUtzeay3HSg8B9u28aCu435NxwtzWTRNF4/2QzvErXu7eKmax6e7Gq7PZNDsWjIKsoBLJRVPWxZmuhFoReBQ65i4XMlBkWVIkoiLJQVPmhZmVAnXq1n882oNX10sYC4vw+cEzBUVzOVlbHYcVLIyqtnQ9/uVpQLu7nSQU0TM5WXolh9lpWDHPSeLcIJw4ho7PorEQRVCuR9mzghzBANATgpz5wKIIv1x60r8HGLnXL/zkmXv6DfaMOmCB/HIc7woxbjrOwkGvQycF9Jehk9rvcn/D9pXx4kYj8NZnzNnzVQK3Q8//BArKyup37HPV1dXT7NLzx3P+4V1FvQdyh/wAD+NPvXz3fZbPu5jY79hUb34kHNOCYexL5czuLvTgQREgkBz3J70Yoy5vIzVhomrlWyPrzMpeoBQGDs+Fw41diOK1awU+UNrhgNF5PDbjSYW8xI+2e6EJXl1F7NZBctFBQgQZQpY3evAdkOvcCUjh4UZuACP6hoe1zTkJQ77potiRkZBlXB5JgPNC/AnVyqYL2Yxk83gcqWAtuuD53m8vlCEKIbD7Y7rYU+z8ceXK/h8VwtTc2kOBE5AXQ89rMtFBTXNxJ5u4VFdx6wq4M62hrm8ihcqOXy43kBR5uEGHmayMizPx0olj8uVAr58aRb7poc/u1LC7zaaUKUwA8RLs3nsmy5mczLqmo29blGKph1Ge+dzEj7eamO3Y+Pl2RwM28N2M6wAt76vISMKyEgCtptWWMWtO3nQCRAWiAgO7COa7aJtOnBcFmn3ogmCbJKZKnJAEP7NKrIBiCYexvMtx0cBNPuwt5fxsKZB4hCK7pRrbJRzepzzP34esvNunGuIOOA83AMnxXEzQZy0FeY879+pFLqNRiPVthCHhO7JQjfj0yXtxaJnks0ZvXQM8t32W75fEnvP96P8qUC4zSyP6lxeBrqRUdbGbicULi3Djiaj2Y4LVeSwuhcK43i9eRZBY4RD3FKUQqqYkSHwfDcNVvjZ/ZqO1xdy2Go7eGU+D3ChmJYkAYvFDEwvzLbw+Z6GK5UsNtsOLs9kIAg8losK9k0XpYyCuYKKT3c6WJkJMzqoIhf23/fRNlzMZFjlMxNzOQmW42GjY+K1hQIapgtZCAswbLQt/NuVKn611sRfXp3BtmbB8334nh9mb/ACLOSzkATgacvAQjYsUvHrJw1883oVPM9jtW5gsaDA8jzc3e1A5AJoloMvLebxL6t1ZCUOe20dRUXE/boOReBwZ7OBssrjN+v78Hwfc/kwW0SYs9YB7/v43WYLs3kZe4aNh/smvnFpBi3Hx8tzOZi+j30jPD9bpo0LhTAvMRN6TOSqIod9w0XdcKEKHNq2g5IiYKdjYadjoaJKML3gwEsd83awqHD8mgir4YXReQRhOrnkLPlqRkLD8g7ly+0RpH3O6WhCpN9rvUkSF7hAb5oxdt6Neg0Rh3MSA2d3DxyHYf07boSanYeT5rwHtqZS6A6CCeB6vT5wuVar1fPHsqxT6N10QTfj06Pfi0Wan/C4jBsdOWQJGOFmnrYdAs+jZjgoK0IUjWXWAxZ9vVzORO1fKqmoG73CQhDCamVXZrKRv5blR2WWhygSbLuR6GZ90Gw3Khzh+z5emM2iafqYL6qRBcLzw8pkOx0L83kFX+xpqKhh4YIwa0OAvCphT7Mxo4jIigJ838f1ahb3azoA4POdDu5sNlFUeKzua3hQ0yGLHAoKj42GhZIqwnFd3PpiBwtZCQ/qJjJSWN52vWXhzRdn8UVNx1JRBR9w+G/r+xC5AC9UsrhXM/DyXB5104PlB/hsu4W/uFzCLx7uo6bbWMhJuLfXxm7HBO97eLDXRsdy8MWOhqvVPHieR8v0IAkcfN+H1k0htta08b9/aR77RujV/dNLZewaLubyKvYtB4rA4d6ejjlVDPeP7uJSOYOa7mAuK2O5FBbrKKoyGpaHSyUVNcOBKvLYboUT7hyfQzUn41JZhekFuFbNoWmFpZKrWQkN28PrS0WYro/L5QzWG+aha4D9qek2VJGPMkAUM3KU1qwHLrRF9PPs9oN5gU3Pj3I1D5pECaCnatug6yFtXdPIUSOxacf7vAdeRrV1HUtQnlAy2dPav5ZlHdJmo/DcCd1RuXTpEkqlUvTnnXfeOesuEcRAhkVKJwGbGHbUyMBxhhJzihgWEvB6xQVr51o1FwmP+YKKp207ypYAoDvrOcAr83mYno9r1Rwe1jSU5Zhw9vxIrEoIfaA7HSsSvzlZRMNyMZeXkZVD4QUAZUWIIs27HRs7rXAo/lFdh8LzeLivYU+zsa9b6BgOfC8soNCwXPACj9mcjM92NFwoKvjP93bQ0EwoIvAvq/uYz0nIScCO5mCv4+BCOYtdzUFTc9DQTfzTF7vISRw+2dhHU7fQ0G3c2WyBA9CxHGxpJgoyhz9stfHR0xZenc/gX+/vwXFc3NtpoZqR8cH9Ol5dKMD3fezpNsoZFV++MAOfF5BTZOw0LfBcAJXnUcnKeG2xCD/gsFBUEADYN1383SsLaFoeZrMyXqhk8Kv1Bl6sZlHJiHhU1+G4LjKSgC/qOlw3nOBm2nZY6ljg0TS7k8W6lepYBbX1homZrAjTC3C1kkVOEvD5blhprqjKmMvLqGQk1HQHOVmAZrlReeAXq9nIzpKcOMYmK9YMBxcKYfYMdn7GfzNswlA/4RF/ERsktuKC+SiZHM57NO2oxO81aRPyhpG2nyfFSezrUcTiUQUlG0k4yXLPk2h32H595513enTZpUuXRmr3uRO6bBJav8lqjPX1dTSbzejPD3/4w1PoHUGcX+I3y2EP/35Ctp+dIm3ZfrPiBZ5HtVupK010e56PO5utSOTERQYTwyxyV81IqJtOVIGLDW8XVRkOwupmZUXAR08aB+ti1oUA0G0PF/IyvtjVoAocPN8HFwA5VcRm28FcXsa+5WBGDSdwiZyAfCYcXuf5MBOB7/l43AizMHy03sA3LhVRNz2YLvCtry5ho2XDcgLUOiZkPsDHT+qwHQdrLTNMp+XYuLutYbtl4bdPG+Dg49OtBu7vtsMywU0b6/s6ygoP3XKw0TQhSjzalgPL83Bnu4VrZRX/7082Efg+dNtFTuLRMl28NJuF6XhYLIl4UDOw3jIgiSJEUcRL80UU1DBd2ko5g8922pjLy+AFHk/bNl6czWJt3wjTrGUlbDbDvL+W46GoiLC9ANttBzNZEY9rGiQ+wNN9Hbbj4VFdh+n6oV1B4GA5B6GoPc3GfFaMJh8yTy8ASAC2WkZPyeV4SrikKGSiumY4YXliAGsNo0dwJu0K8b+HCY9RH/7HjTqe92jlUWD3Gpbz+rwI+ZN8sRjlGI47QjaKxWbQb09rv4+yX3/4wx/26LL19fWR2n7uhO6oFIvFnj+Kopx1lwji1Ik/2JMTYgYtm5xQFif5UE+7wcUja8nvWCGHy+VMNCzMUoBptovdjoVLZRX3anqUOzJ5k9es0PcpCGGxhOi72NBeThZxuZzBJ9sdfG2piLrhYr1hRkPigsDjlfk8nnZsXJvNoZiRw4loBRlPmgZKsoBPt1rISgLcAJhRRRS6XtuSEpbgBQDd9fC4rkMWePA8j422i69fmsFiXsUvHu7j5bkc9nUbVytZPGk5EAUBhuOhbdqwHB9BANzdacINwmH+329qKMgSOqaLf/x8D9+4mEdGlvDr9Rb+/OoMNAdYLmWhyjI2m+FvPtlq4eVZFf/6qIGlvAov8DGTldEwXVTzKj7dNpARgN1mB79b28PTRgeO64IDUFJFfPS0ieWiiu2WiWbXF/z5TgeiEEAROAi8AFEUYToevrZcxNO2jaWCgoszGWx1HHx1qYim5UOSRDStMPPEbzeaYSlmDqiboWXkUV1HXpXgBmG0985mK8qGcbmcwf19AwjQM7Etef6sdXMRP6xpKHftKEVViiL/zPed9EOmnZPjiId+D/Lki1zys1HanFZyinimacwGvayf1YtF2jk56Hw5ThR40H18kowyqRMAFEU5pM1GYSqvkJWVlb6TzZg3t19WBoIgQpKRgEGTOpLL9ptQFieePSFtwtqg1F/sc832oiIDLMKbVQTU9HByGMu6EE086t68t1oGbDcUuz396NoivO7fNd3GX1yt4H7dQCUroqTw+MWjOl6sZqPvL5VUqCKPR3UdL1az+PVaA6/P5/Hhk31sN3X4vo+G6aJtOV2xbOCXj2soKTw2GwY+2WxguSDj9pMmSgoH23VxZ7OJhmnCchz8vz7ZBMcBj+o6LhYVXCzKWG9amMvKMBwfLdvDyoyCxw0bO20bry1kcGenjft7bVwpS7hXM7HWMPDfvTKL/+WTbbw8q2KvbeLTp3V4joXfPqmjoMq4Xzfx370yC90DShkFPM9DETjsawZKqoDHDROqouBCOQs/4OAEHCwvgCLwuFJWsdmxkVclgAMMx8OlbuU3nufBCRyuVbKoZmWsNW1840oFqsDjyb6BF2ezeNqxsdcxUVIEAMCv1ht440IBT1sWeJ7HjeUSfrXegMQH8H0fphugbTrIy8BnO21UMxJubzS7VdOCnuIe8ReqlmnDcV1stQxUMxI22tZBMYnuuRAVpEh5uYufk/2uhUHne/JcHvSSN0q7Zy26Tou0qPpJk7Sx9OvPadLvnBzWn6P0d9T7+HGJ7+eTWs9UCt0bN270zZPLBPCNGzdOsUcE8eyRvImO4jNMLgv0fzClRbKSbfb7DggLBCxmJWi2h4blRhOGBJ7HtWouSiWl2W5PWimB51FQpWg4nGVkYJOHNNuF5oTeXOb1vFhSUNfD6l8vzmbx8VYbOVmMikisN0xUsiL+ebWGb16r4HHTwkxWRikj4u5OB0WZx05Lx92tBgzTAgdAFAWIkojZjIS1pomr1RzcgENOFLBQUNAwfTQMB7MZHp9tt1DTTDxq6PACDi/N5fC4oePLC3lkJBEcL+J6NQ9V4vAPn+1iLi+hovK4u6PBdAJ8/UIe/4+P1vG3L89itW5C7D68NjUb1yq5cGLdXA5PGhbmCwoWcjJqHRMdy4fuBNjXLKxUFIg8j5wi4XJZheO6WJnJ4H5Nx77pwvd87Gk2LC8I040ZLmZUEY7jYnU3rO6mOx6uzoT5eLc0Gy/MZbHXtvGkaWBG5fDz1T1st8IXhk93ddxYLofWAt1GWRWx101hdqmsoqBK8CGEEX7DwVJBwt2dDl6Zz0fR2TDa60ZixXQDFLplj8O0cUI0MY3ZYZYLSmSLYBMV087TQSKj3zmftmw8Zd6gyNY4bU4rp+lHjp8XZ22bGCRsT/L4jzIRchLrOOn9PJVC96233uob0X3w4AHefPPNU+4RQTybDBKgo3zeb/LZJB5Y83kFW7qDa9VcNOGHVUIDEInUalaOcqjG+xlwQNtw8GCvA9vxIkGs2R70rjf3zmYLO20Tt9f24Xs+dNvDbseOvKBbzbCymMQBH67vYyErY71p4lI5g6WCAsMF3npxPiyLm80gr0iwA8ALOFyfLWAmK0O3XTRNF3M5CZrtwwEHRRKwUs3hSrUAVZFRzWfgugEs28XDuom9jo3Xlkr4dFfHclHG5ZkcXB+odyxUM4Bp++DEcPKeKgW4s6vjG1dm8PPVOuZyMmq6i6WiglcXZ6DKIi6WVdiuh4WSCtPx8C+P6jBsG4IQZja4OJODBwFfuVBEJSPjHz/fgySK2OzYeKGSxeN6B798tIOtZgeaFVYmu1hUsNm28Hhfx3w2nJA2m5Pxr6t7sGwbEhdgtW4CHPBCJYs72xqqeRUCF+DX3Spt681uXmTbQyUjwfYCXK5kekqaLhcU7Gk2EHDIykLPd7uahYc1DbbrYnWvA1XkYLoBLpczYSU1hCnAWJT2WjWHjbaFalaKRG+Um9k6KCoxyPM46rnNRhfCFGyD253WCWfjctoR7PNQ/W0U29ik1nNWnPR+nkqh+/d///eo1+upYvfmzZv4/ve/fwa9Ioiz5SxuZIMsD8MSmA/yMh5MHBN6vMHJIc5qRooErucdVDlTBR6G5QFcmGrV7Po8Pd9HWRZgugGetm2oIoftVpgx4EnLwHJZCSOTrouNloWsIuB+TYcTAC/P5WF1PcM5WcBsTsZL80Xc2e3gWlkFOIDnAtzf7eCV2QzubrdQkHlstm3kJA7/5f4eSgoHy7ax1TDRNCyIXIBSRsLVShYt20PTcLCn6fA8B//53i5Wqip8P8Ce7uI7X1uCHfDwfA5ZVcJXlmeQlyVw4FBWVdgeYDo2Pt6oo2Ga2GzZeH2pgJVuyjBVELG2b+BxvQPLdnF/T0NNczGfD0XjC3N5bLct/G93t/ClqoyP1vYAAF/sdeAHHMoZGY7PIadIKKgS6oaLq6VMWKKX5/HGpTL+sNXGclHB430DT5oGOpaDmYyED5808NfXZwEAra7o/8WjOi4UZDzYC1O5bXZs3LhYhukG0eTBalbCvZqOG8slNC0vKhAREQDLJQWrdRNZWYBueVGEOCcLqHfLBbNzFQhfoBCEfzNrQ9yvyM7d+LkWH94eZzg5PjQ86HfnxaJwHoT2cfbBUfp/1vv8NI79SbxIjdvWSW7fVArdcrmMn/zkJ3j77bd7Pr958yZWVlbwrW9964x6RhBnw0lFhEb1EcYFb9QXu3+fDs2OT4lqsPKoLcM+NGktapNDT/EA5sE1PR+zhTDd2Gxe7mZyCCck3d83oIpcmKvVDTBfzGJpJo9XFopomj6ykgCF5+G4Lv7hs21cL8lhKV9RBLhw5j8AOEGYZ5b3fTxpGrC8ANWMgq9cKOHunoFXFopo2z6+slTErubgjy9X0LQCFFUFc6UMWpaLzZaJsirhYa2Di2UFWVlCWRVxZ1vD//j6PD5ab8LwgL99ZRb/ebWOiyUFAQfkRA48x3cLHQi4WJbxpGlCBIeO7UEzLFSzCja60eeW6UIWgX3dRqNj43FDg+N4yEkc/uGzLUg88Nv1BiSBw19eq+L2tonXlmbg+z4KCocg8CFwochVeB53t1vIygLu7LTw8lwOi+U8LDfAlbKKju1juZwFPB9FmcednQ7+3ZeW8Mm2houlDDp2mLliRhVxvx5OHGsbDiqqiPWGibbpYLNlYKdjAQFwtZKF6fq4WsliV7N6jv9iKQPH5/C1pSL2NBsBhyhdHJvExvIys9/FvdrVjBROiAMOiVLGTttEWRGPnAJr1GHoSQuB5IvjKMs8y1HlZ7n/yYmR/Tjqtk1aTI+7r0/6mHBBEJxQCuGz59atW/jggw9w/fr1yLP7gx/8YOBvWq0WSqUSms3myDP6COJZ4CjpZYa1p4r80BskW298eeDg5j3I4xhfJm1ZJnCZJ5PheX5voQfLxWbLgMDzKCsCGpYHVeCiylkCz8PzfJheAIkPsNe24YDDxWKYbcX0AnQMB9uaiYWciqcdCwWZh+l4eLxv4I+vVDGXl3F/pw3D9fDlC2UA4cz+lmHhSdPC//SVZfxuswXf91FWJDxp6ZjLq1jd66DatS3MZGU4rouO5YODhztbHVys5HChIOOTzTauVnOodQyUswp+fn8P/+aFGdR1D64HXJvN4fOdFj7famE+p8Dnebw2p+DjLRPLJRmyKODJvo7djo0XZjN40rTxf/n6ZXy82cJcRsLjpoGCImC3Y6Nt2KjmwywSM6qEh40OXp7Lo6DIUCUBssBhNq/CDTi0dRu274NHAEkSUeuYeHE2g23NR1YAdjQLX7tYhSJyWKtpmC2o2GyH0WqB4/HaUhG/fFTHq3N5fLbTROD7MFzg1fkCTD/AXE6GbnsIEE5yEwHYvo+cImGxqEbV0wDAdl00TR+VzIF/OieHtomSymNfD8sVA2HxEM32kJOFnslnrJBE/Jwado6yDA/x87ym25GF4ryRvBbTruO063vS95DT5rj9P6vtZyMKg9I6jno/Zsue9HaMuo5x+p1kVL021UL3KJDQJYjRGXYzS97E+vnM4u3EhQJLD5U2VByvYhUXGKEvV+p5KITlfz04AaCKHIqqHIkjFvFtmXZU4tf3fWTlMAOAwPN4vG+gZVhwXA9uAFyeycGwPexqJmSBg+V6kCUZAheARxjN/cpSAbrt4eOnTbw0m0HdDLBcVLDVNrFW13GhKGNPc6C7HviAw/JMFk/2NXhBgIIq485mG0XFRyGTReD7uFBSsN4MPbEP9zXkRB51wwXH8+ACD7uai9lsmB3hQkGB5Qe4t9fB15bKCPwAlh9go6GhqIrYaJj4u9cW8MWeiaszCpqmC9cPYLk+FgoqLNfBRsPBTEaA5bjoOAFeWyjgUiUHw/HwuN5BThbxRxdn8OvHdSyWMtAsB9WMgn3LQVO3UcmraBsW5nIS6oaH67N5qDyPLd3GlaKCT7ZbmMupqBs2LpVkfLTRxnxegSxwmMureNI0oPI8FkoZzOVltA0njMq7AWq6jS8v5NGwPHRMB57no5RT4Hvd49ZdrpqVsNuxMJdXUNOd0JbQ5VFdR0kW4CAsNhKNBnRLAsdflNLOa88LU5/Fq56x83SnbXYLlBw9SnbSYiR5zfXbzmdZ2E6S4wiySaybvbyPElQY1tZZbUc/jnqejarXptK6QBDEZDnqjG9mMYgv1zLtHotB2jBXPEtCUiTvtE1IXBgtZRaI+O/ipV/jbQoCB932UNfDz1gBCCAUN3sdG57vIycLKKgSimpobdBsD9dKCgSeR1ZV8OpCETlJQMNy8epCEfuGh6IsQeQC8AFwd7uN5YKIz3c64HkeL88Xsd4MtycAYNk+Xl8qwfR5VHMqCiKPgirgadNAx3bRMly4jotqTsSThgkgQFmV8Nm2hoWsiM/3NFyp5GD5AWayMnzfx28e7UHigMcNG19ZKsAOeHQMF1dLKp7s6+CEAKrEoyCLeLCr4UsXSvh8x0BGBPbaDjabFtZqHYicj6ctC3ttJ4yAGjYgCPizqzOYLahhyV3TRSUTbsu/PqxhIS/is60meJ6H5fsIumWBNcNETpGw1XHxV9cqaJguHADfvD6LuzUdl2dyAAcsFhR8/LSFiiqgpIooZsJ9rfIcWoYZFekIOIQ+W8fDlxfy+GS7g5wsYKdjYqcT2gYKGQnFjIyiKnczbziYyynRRLPoxadjQeQDrDd1qCJ3YH2xD8r2Age+8vh5xNIgxQunJId+jzu55jSG2UexTLBr6Fkc7p80Z+mTZufbKPfbUdpK3pOTnPbxPul9SkKXIJ5TxvFPjVKDvd/n8bQxLFqm2QcCF+gVs6w6WbxWfc+MdFnEetPEfF6Jsirc2WxFv1trGLhQkPGbtf0oP2M1K+NJ0wIPD7zv41FdBxBWNtvpWGibDhSBw68e1dHqRggf1XUsFxTkZAEPmxZuLJfxxsUyCqqE3z9tYjkv4teP6/jm9So4MRRoDjj8H19bwJ1tHRlJQNt0wkllCIfV72y1EXABDMfDV5YK4AUe1+dKKOcyKGdllFUxLNJQUIEAqORUrNd1uL6Pmm7j480WLhRlbDRNZGURW20TpuMBPoffPanjtYUc/rDVRlbiUM6I2NFdvLRYgCJIyCkSBFHCn1ypwAePvCqEJXabOlqmjbbl4mHdgG454PlwfZWsjJmMjE+3NWREAf/w2RbKKoftjgV4oV3h1+strFSyqHfMsMTvbgcFVcSe7iAjCXh1oYD/9e4OFvMSJA74+YM9zKoi6rqNyzMZuAGHlxbKuFDKoGG6qKhiGJlVJSwUs6HoFThwAXBvT4fEBfjl2j4WczIe7xvISAJEPoy+qwm7iipwML2DSng7bROe50MVOYgcj2JGQVGVo/ONCVSWxSM5kTLuxz00KmEfFsPDrqt+1864KcZOivgkvJNa97Mkos8yAjrIsjAOyXtykrQiPUdZ13k6riR0CeI5ZJyI0bBIRr+2ook9iUiXE6BHSMQn5CQ/i1sTIjFsu7hUUvGorqOaDQsFvFjNYq0RTlCazytYb5pYyslR8n/T9fGNyzNQZRmqGmYxML2gx6bwsGHiq4sFfLHbge54qGRFbLTDyU0vz+WiKJ9me7hxqYh/ul/HS3M5/OpRHbLAgQ88XCtn8LvNDr5+qYyWHuaHFXgeoiSE/c0I0E0Xt580cHeng7msgNtPG1AEDirPY7Vu4C+vlvHpdgeXK1mYjo8XZjP4aKOJwHOgmTZ+87iJGVXAH542Uc3wMJwADcfHG5fK+HRbQyUj4pONfWx1QoG9rzvYahv4w9Ma5vMi7AC4MpPBlVIGj/ZNzOZl5GQOEg+0LRfLJRkdC1goZpGXBWi2i5IM/KdPnqBjmFirmZBEAVYQQOSBF6s5/OpxE29cKuPuThtfms9hR3Px5cUyAODzzQbm8yIe1HTsmw72OiYe1Nqo6zbquosXKhlcmcnA5wT80YUSvtjrYCYnoqBIuD5fwFxehuZ4WG8aELkAHTOsyLanW5jJiCjIEq5Us8h1LQvxKnme7+PuTgeaFRaLUAUepuejqIalilWRO5gUaR+ca2nnPzt/G5Z7qKBEaI0J/05OThs02XKQqEj6Zc9iMlU8M8RJ8CxPEDsPHGX/DbqfMxGcFvEdZ13n7biSRzcBeXSJ54VJ+u+SbaV5c5PfDxLOyclrca/tfEHFw5qGalaKhG1NdwAAi1kJW91/My9uUjAzcbHTsdAxXJh+6Eu9Vs3h5w/28GI1FMGqyEHgebRMB1wQTkh7ZT4P0/Xx0ZMGVioqPvh8Fy/MZtGxfFRyMrbaFt5YLuGjjSYyEmC7Aa6Uc3jSMlBSRdhegN9tNPH6gooHNRuiAGi6CyvwsVRSkRUFfLGn4a+uVfHz1RrKGRHljIy1fR2fPt1HQZVxsaSi4wS4Vs2gZXpomR5Ezsa2FuDGxTIe7bUhC8CdrQ7mcgLAi+B5IHBdSLKKry4XoYoCHtY1XCqqeNqxIXA8djsmZjI81ho23lguQZF4SKKInCJht62jabgQeKBjB/jrlSp+t9mALPLYaJj4y6sl/GHbwBuXK3i428RcMYvZrAzTC9AyWIEMER3LAR/4+HC9gS8tFrBcKWAmI0ZR23s1HXNZAbu6h+WiAtMNUMmK2Gvb8IKwylrDdHGhqMCwPSx0J6OxY/uwpqGakSJh9pvHdVyekXGvZuErSwWYbhD5cbdaBkQAfjcdXPSA705ui/vDI0tDYmJWfL2O46Gck6Pzk62nnx9y0CTL5HLJSZyjXoeTot92TGJ95AM+HicxyXjYvfks+pUGeXQJghjIJG9C/aJgSdsBMPhtP/ld/MF6Z7OFsiLiN2v7uFbNQeB5LBUzUSW0a9UctroTjqqZg8lomuWiZdhomXZXIMuo6Q4Ense+5UAVuMin+WI1G2Vi0LrFITqGi483m5C4AGsNA4/qOv7iagWrdRN/tFzC430dnu/jwV4HF4sK/vn+Dq6UVex1HLw0W8DTjgWBC7DZMGF5AV6czeKjJx0sl1Ws1QyYvg3H9WE5PlRRwKsLefzj5zu4VBShcEBNd6CbDmQ+gO35aDsOyqqAB7sd7GkmHM/BesPGTEbEyowKUZSQy6j40oUydDfApXIWZVWB4XO4Usmi2BWGV2cy+GSrjZzIQ7ddvDCbRcNwcX0miz3dge0G8D0fRUmA7oQeX8cN8NJsBv/l4R7ysoC65uIvrlXwj1/s408vz0AROEiiiBlFQgDA833kFQlt20dB5nEhr2CzbeOVhQKcboT8yb6BXz3cw3bLhO+HHuGMJMB2PKzW2ljbN5DPhLl5G2ZYmc6wvW4kOoz873Ssrmebw27His6n15aK+PhpmMeYebDZA3ixmIHfPXfmC2qUrm6rZcDulpaOi1yWjzleVpqds9WsBF7gopy7l8uZyL4wKDdu2rWTthyr0DaKIB5kI4r/nfz3sD6MUr44bX2jtE0cneQxmWR743x3nGVPGoroJqCILnEcpi06MUq0aVAGBUY8S8KwKBa7WcejWJrtoqyEJXbfWCpgW3fx+lIxWl6z3SiVExO2ghBWSdtphxOa9tp2lDtXFTms7RuYUUU8bVu4UskBCPOm1gwHvh9OVLPcANudsMCE5froOD6+tlTA7zbb+OsXZvH/ubMJP/BRUERkJQG7moPXFgp4WNfx+mIBD/dNKEJYdMJyfTh+AA4BarqDrCBisSTi020T1yoqlkoZPGmaqGYlGJaDfctHQRYgCRz+dXUXHcPFly+W4flAx3KBwMdmQ4ft+yjmFLwyW8Bm28E3Lufx8VMNRYXHRsPAbCED2/FQ6+j42qUqsooExwvg+z4sx8VqrYOV2TzWGzaKqgiO8+F4AV6eL2CrZUK3Xbi+D9v2YAUcZnPhBDiO43B9NovH+xZencuhbrpQJQFLBQUNM6z2Vs0IaJouFgsKtloWREnEtRkVD2o6iqoIxwuw2dSQkzh8vGng1YUcXqjmUcop+P3TJqqqiJwqQhZFeL4PCcCjpoGX5vIoqFL33PBQ75gQeA6WFz7O5gsqqlkJn+9qWMpL2Ddc8DyPkiJAloSeczF+zmpWWPo5npkjHultmTZUnocDRCI7fs7GRx6GZV1I/qYfzArBLBODGJQ9gWUyYf2KX2OTzgxxHmf2Tzsntc9PcuTvuFBElyBOmXE9TOed5PawSFby+3ii/LR9wB76g/yIceKz2EPREU4ya1gu/vJaFZsdG5dKauRbbBl2lIVhp22GXksujCayCK7pBpgtyNCtMG/qXsfGcknBlubgQrfMq8QHqBlhRDgrC5BEESuzeZQyCmZyKvKqhItFGf/fL3bwtcUC/uMnT/FCNQvfD2C6wGIhi79+cQ4t28driwXc2WpD5ALYrgs/4MDzHC6VM2gaHq6UM3AANAwfX79UxspsHr9/2kRJ5nB/Twe4AJfKGUgChz88baGkiHh5oYhqToYi8VgqKjA9IJeV8cJsAUuFHGSJhyJy+E+/34Lrubhf01FQBXRMF23TQSUrY9/00DFtdEwTdd3GvuniK8sz6Ng+clKA32/U8LCm4ZW5HD5ca+KVuQKeNE00TBdbmg1VBDYaOj7daqGSU2A6AM9zWGuFhR2uljJYrevYa5uoZgQ0DBfzxSz2DA/L5Qwu5BXsGy6Wu4UhXlssYnmmgC3NxzevlZGXBfz6SQPbbROvzuUgiQJkUcQr83kIPI+m4+H6TA5rDSMsxcwBe5oNgefgBByykgCRC7DTMvHRkwZeqGTQtHyszOZxtZKFwHOHztPkeXy5nIlShjGRyzzlRVWGgwOPefycjTMs64Jmhemi4hlI+hH3BQ9jUPaE+GS7tEwRR2HY+kjknh6T2Odp8ywmVfjhLH27JHQJYkKMeqOZ5AV/kjeN+PawlF7xBzNLUxOfwZvcB/HJDewhCxwuB5y6bbYLiUM0bMvExUJR7Um1U8zIuF8Pq5nZbjgByXTDyJ7XzVYwnw/9nnOFMI/qbC4sV/vGxTIEgcdsLiyOMJ9XoNku9G4hgUd1HddK4W/YEPz/7oV53K3p+JsXZ/G7zTZmMhL+aLmIfEaC6Qa4UFSwWtNxbSaLfc3GvV0tjHQWMwg4AV9eLuFB3cDVsgJB4KCIHHY1B0v5MAK5kJfBQ0DLdBF4PhaKMpqWj8vVPAqqAgE+1usGShkRV2dyUGQJs3kZa3UTv12vwXFdPKq1Ad/D2r4OgQuwUFTQdsK8slttC59utyHxoY9ZEkXM5VV8vttGTgRs18M/P9jH375cxf/yh01cKEh4uNPGQk7G5zsd1NomLMvA75+20LZs6LqOzaYJzXLw++02KlkZisBhrWHC9sPI8UJOwmfbbWQUAYbj4fdP9xF4Lu5stVCUefzplQo4UcJa08LXFgt4VGvjznYb80UVWVnAWsPAK/N5rFRzaDoeVmYy8H0f600TlYwIywtwZSaDvBoeI9318GI1h/t1A1crWQBhSrF7NR1tw8FOx+qxAyTT2bFzLa3oQzx/c3SujnlN55RuMQtptMwM8T4c9ZpPs0qMmhniOOsjTo/jitzkOTyOeB52DZzlyw8JXYKYIKNcxJO64E/jDTmZLaGoytG62efJbUn+mwmHpECOTxKLbxOLrO12bIALwtn0XVhUmC3bMm3sdCx8dTGcaOT4XJRD1XQDVDMSNNvDZstAx3CiSWs5RYyKBywWM6EIzstheVjPR9sIo6Bty8EnOx2oIoeWbuFCUYHpBfjKYgEfbzRxvZoFx/FoWmH+Xc/3sdsyofAcHjdNgANUAXjS0OD7Phq6Dcvx8OeXy9jsOFAEAZWMjBdm8+i4AQSeQ123YbgegsDDZ7sa1hsWqgoH23HwYLcNywMUiYfAATXNgeF4CDwXm20dVZVDzfRRyuWwVMpgpVrAfFFB2wrwlQtF3NlsYrtl4EIpgzvbGq6U1bBN20FekgFewstzBXxlMY//3/09vL6Qx6fbHVyfz+N+Tcf/+esXoaoKLlZKuFLJQpEkZDMqbBeo5CTw8PBgrw3d9WA4LmzLwR+eNvBfH9ZQzgj4aL2BjuVA5jlYno+1/TDNm+/7UAQOf3VtBn/Y6aAgy7hcVvGf7+2A9308rmu4u9PBfEHFawsF7OguVmbzWCyqWG8YmMmIaJsOOmbY9owiYXXfwMtzObQMGw/2Ori/24RuWLiz1cBmQ0dDt6JzLZnOjp1f8Ze4aBJjyshE2gvesGtzvqAeyo2aHAlJtpHW7kld/+dt5vx5Zhr2Ub/n0qjPqVGea2f18kNClyDOgElc8Cf9hpy8ebOoEiu0MKrHkAlalo+zn5Vhp21ida8DiQN+s7aPF6tZNM0DkaxZ3Ry8XU8uy8mbk8PiDfN5BZfLmWi916o5PG3byMkCOoaLhhkKm+2mGQnezZYRVcj6fKcD3/dRN1zkMyL+sNVGSRIwm5VRN1xU8jK2Og5eXyriXk2HKgkwbA8ZWYAicHhY01DTbDzc11HTTNiuC4HjUcoqWCpmcL+m44+Xi1hrmHjUtPDybA6zOQmf7rRxf6+Dgizg3m4rrHLWsfFfV/ewWBCh2y6qxQw+fNJCELjYadsodaOPigDUOgZ2NBdfWSqj4wl4saLgq4t5+EGYJ9YLePzxlRLWGhZ8z4UX+HhU0/G3L1bxf7+9iQtFGb9cq+Gry3l8aXkGX7lYQcfxoIg8gAAvz+fwuKbjz67N4PaGhv/rH18GeBGvzmeRl3lkZQFfvpDHk6aNrCRB4Dnc2zVgOB7ajgfX9zGXk7Cxb0LgAmiWg0JGwXbHwTcvV8JKbuUsLC+A63N4fbEIURJwv2bg36zM4D8/rKEg8WjpFn6zto+tloGlvIRHdR2P9w18aSGPphVmZMhKYbGPfcvBi7NZmK6PYkbGYlHFQiELThTx5eUKSlkFOUnE430jKjySPOeTIxrV7EG6un4J9+O/H9efy3L8MotQWpqnowjqo0L2g9GY5PD+aTBo/ced2HZezxWajJaAJqMRzzPxSTls8kpy6Db+kGYRsVH8g/HfJSelsehs23DQtH28PJvDetPE60vFnkkWLNcpK9G607FwrRpOJNtpm9EEITapqKwIaFge9G6+XN3xYLsuZDEszHC5oGBLt5GRBKgCB8P2wHdTUy3mZPzicR1fXZ7BbsfEZtPAG5fK+GxHw0uzGazu6dGyGUlAy7Cwo9koyQLu7+pQVQFfWSzBBQfXcREA+P1mG3+9MoMnTQOmF8B2A6gyh5wg4BeP93F9RsFHT9t4Ya6IxbyA//q4gb97aR7/5VEdL8yo+PDJPiSBx1+tzOFhzcSDvRa+fKEIxwe+fKGE3z9pIkAAjhdwoSji/p6G1xYK0K0Aq/sGijLgBhyuVbL41Vodf7pcwH/6bA/fvF7BetPG3726iKbpwrAs7LQs2OBxqZyBYdtomS7m8iryMg/d8bDVdvAnVyvY121sN3WIIo+25aOj2wDnwXACzBezeHEuBzfg4Pk+dMuBLHDwAg5zOQn/bW0ff35lFju6jb+5VsH/+sUusgJQVEV44GC5AXKqhI7lwLAcLJUyaBouKjk5tKjYPgpZGVlJQCUrAgHwpGVhKS/Dcn0sljLRedo2HVRUCU73fPzF6h5emc1D6No3WESejVokxeTdnQ5emc9HNoe1htFz7qkC3y097A+ciJY2UY15dnc7FuYKSuQRHnXIODmpjjhdRt3vZz1Jb9T1j9PPszz/aDLac85ZvzUSzx7xyARLacSGbtn5xL5j4sF2XdiOh4c1bWj78WHhtL8FnkdBlZCVBGhOWNWKrY95e5mPkhUGqGYlaJaLhzUNT/d1aHas+pXA4Yu9MOWU7/tYKKrgeR4iz0MzHVwuyfgvD2soq+G6S1kFeVWCInDgeR6PWxb+aLmI32/sQzNNNAwTP1/dw0vVLH75uIGsKqGkithuG9hsGmjoLnzfx1rTQj4jYEYR0LRcKDyHjaaOtmXjG5eK+KJu4HK1gJmsjKwsICtKqFsu/g+vLuDzuomvLOWRFTk8bTn4mxdm8S+P6/izy2XcqxmQBR7XKln8t/UGBMELMzvUdfzVtVnc3dEwW5CgOy4yIodHdQN/tFTC07aLrY6Jl6oy9gwHK7N5uODwP9+4jJ+vtfDff2kBn213cCEv48FuE3sdAx3bx283Gni5oqCclVHMKJjLq7hYVrGru2gYDhbyIvZ1G7YXoG276BgOZjMClmZU+JzU9UX7yIqhgJxRRGSkcJJfOStju21B4Xnc22shL/P4xZMmvnm9ipwq4VHTguUGMFwPumGhrpkQBA6fbbdwtZzBVtvCvm4jr3D4dKuJhZyItX0DT1oWXp7LwQkQiVwWHS2oEhq2182e4OCV+RzW2hbKWQXzeQVtw0HbcKMJkPF7aE238cp8PororjUMlGWhJ/pqev6hCV9p11g8Uht/+RMEHoulTE9Z4fh1N+i6Sl6/xOkxjrg76yj5qOuPLzfqBLPzfP6R0H2GGGdo5LyecMT5JXlzu1zORLlD07yJ8wUVsijCCcKZ6oN8g0nvYdoy8wUVphfgxWoWT5oWKhkpKhXMbsxrDQM5ORSmOTmM4D2q62ibDmzfxeP9UJzXDAemF2C2W/pX5AM83jfw1cUCihkF1+YK+GLPwDculbDRrbil2x7yqgTd8eC4oSBxPQ6vL5XgQsTLc2X8yeUq1loWXprNoZqVcW9Pw0JGhhv44HjA8QJUcyJWqnkYHocXZ/OoaSaWiip4XkTTdPHKfAFbbQsKz6FlWKjpFuayMv7b4zr+/GoFLdNDORvmAd7THXzjYgG/edLES7NZ5BUJlsfhz6+UMZNVYfk8/u7VJfzicR15AVit6+AAmI6NvCzik20df/vyPDKSgHs1CyLHY1+38FJVxc2Pn+J/+NIibm908FfXqtjWHDRNH3M5GQ3Twx9fKeHOro6tloGCzGOuoKBleChnJIg8j7blYU8zYdo2SqoEwwsgiCIulnP4kyszaDseXqyouHVvDwtZGQ/3dSwXMzAcDzOKBI7n8cJcFjXdgWY6uFgKvdJ13YYqAFstDfuahablwPaAsqrgr1Zmsda2cKWUQVaR8HDfwr9dqeKf7tcwm5WxVJDwuK5H/mt2Xt/d6UCzPVQzYZGRoirB9Tj82ZUZaLYXLWt6fiTQ2ctcvLQ0O8/n8wpM34+KVZhu+G/2YthvCDjpWY9ne2DiNilc2YvbKNlKyGpwuhzlWXvWx2ccUT7OBLPzfP6R0H1GGOeCOs8nHHGyHPflJh5hZQ9k4GAmetIzON+tKDbINxj//07bhITQg5t2Pl+r5tCwXHzj8gwaXQGiijwe1jRsNQ04bmhxeFQPJzGtN01cKMhomC4yoozXFgpYa4QZGDzfh+eHzizLDWflNywXc3kZqsjhjYtFtG0fC8UsuACQ+AB7Whih9Lt5ZnmBh+/5+MqFErKqGKYYK2WwWuugYbr4sysz2NQdXCrncHEmh/mcjLwkYaNl4X/80gI+3W7jaiWHpuXCdD3kZQEfb+yjmhHwmyctSJIA2/Xxh602LhUV3N3W8MdXKvjg8x1cLAqYych40vLw7758AU3TwwtzOWRkCT44zGRkfPVCHv/10R5M28W2ZiAjiLA9YFtzsaeZeH1exf/tozW8NKuiYdi4UJAAcPjnBw38yaUC/umLXfzVtTI+2ergYlECxwEIgLwsYDaXRU6R8LXFPB7WddQ0B5bvY69jIPADcByHiqpAlQR4AYer5Qx0OyzxazgeVmby+NV6C//uSwv49ZMGvnm9il8/aeDVuTws30dOkcAJEl6cy0fp4HTbQ+D76NgeBJ7HQlGF5gT4kwtlWH442fBiKQMPHmodEwsFBb9Z38dfXJ0BL/BYrZu4Usn2RGXvbLaQlzhsNnXc3migLAvQbA8rc3msN0wsFxTsdCxkZSGa+JhTxFhxERuaHb74xTM1sDy7zN+bdt/tN5Od/Z3MWpK8FtlIBitiMur1S5wO5+lZe9R7f9rv+mXRSWOcLB5nBXl0E5xnjy75r4hBpPmq4h5YYPwbUbxNoLeIAyOt/eR6WUEHzXKxutfBxaKKhu1FHsfkOnc6FlSB64oBB6rIhSIIwNOWhSslBS3Lw2xOxuOGgZdnw4lnoYjlsduxwPM8PD/MhrDXtrEyl8dOx4oEi257uFQKZ75/ut2OZv43TBe64+GluTyetizkBA5P2mHaq03Nxr5uoyABG20XL83lsK85uDijYqvjQOQCrNY6WMgp+Hirg//TGxfx8wc1ZARAFng8bJgoyDwsz0c5I+L2ehMvz+dhewGe7Bu4OpvFFzs6XpkV8cEXdbz56gX81ZUZ/MvjfWQlHvd3OshIHLJdq8eTfRM8HDzaN1BQVYgch+22jpIqICfLaDseXqgW8Lhh4FJZBYIAr10oY62uY79jY64oo2P78H0flYyIuulCt3z8+bUi7mwb+KurVXy81YSAAKLAwXYCOL4LzfFxoZiBF3BYKCjhRDLXRV23oVsuPITFNxYLKj6v6fi3K1X8cm0fX18q4uPtNnKKBIFz4Xg8ZIGD7QW4UMrA8gLstTU0TB/XqjlkJQGzORkfP21iKa8g4MKXq4/WG1guhi841a61AgB4eOg4wMWSgrru4molC1XkcXujiYoqIqsIeNK0cGO5FL4QCRx+v9XG376yEJWVDr3gHpYLCjbaVlQemL1ARZlHusUk1hpGFEFO8yoO87EPuq8P8soT4zOtz9Bxvb/JuRhpgYqTFvCTOBbk0Z1CpvECfZ6ZhLVklBRHD2talPFglHX2a5P9W7PDDAot046KMqS1zybYtEw7ypaQU8IiDA7C6G2axaFl2pAAaI4XRpK7IoLneRRVCV+7UMTqvoGFoopiRsaXl0poWB4ulVWoAo+a7mAuF/oul7qpw65Usvh0u43lgoLbG010zLD6Wc1wosIChu2hptt4sNuGInC4t9PBYk7GbzcbeONiEb9ab+C1hQIuz+Sw0Xbxra8uww04XKlm4fgcLhQVuAGHpuHiQa2DpbyI//j7DVwuqdgzXOwZNl6dL2ChoCAjiVjbN3F9NoOa7qCUkZBXBWw1Dbwwl8OjfR9fv1LFXF7B//bFTleAeRAEDqs1DVtNG+WMiGJGxK7uwXYC8PDRsizYtgPL5+CCQ1O38evVLew2NeiWBcMFtlsmFN7Hw/0WPt/pIAhcXCsr+O3TNooyh4LM4fZ6Cxx8fLbTgO8HKCoiapqNhXIWs4UcLpVyeFTXIHM+1vc7yIrAH7Y6yCsSDNfDbFYCeAG6F2A2J+NfHu7hYlHF7c0mFgsKapqF7aaFhuGgYznwfB9bLR2fbjbhucBsVoTphC8yphugkpEBDnjaMFDr2PiLqzNo2z5apou8HFZIU0QOtU6Ybq1tuJD4ADsdCzXdxjcuz6DQLQt9Y7mEuzsdPKpr+GyrhRcrKv7x7jZUkUNNd+B5PqpZqUfkhpXRBKgCj0d1HS3DhiryoY89I6FlHJQXTvoWPd+HxB0I3jisTHA/kiMrxNGZZkvfOJHl5FyMtPSQpyFyT/NYkNAliDNgEhf6oGFR9u+abuNyOQPT9Q/l7Ewjnis0rU0A0Yzxohr+nWyf9QsABIGHwIcZEuLtJT2K8YhwUZUhy2GBBfaA3+3YqGZDQbPeMPE1Vv7XDm/WzD4ReSy9g6jz5XIG600TX10s4OOtMHK71dSx2dJxd7sFRfDx84d1VHMydtoWygqPRzUNS0UFv1yr4y+uVPGLh/v4ylIe//GTpygpAv5ouYhb93bx8lwOmu1Bdzw0uyL51YUsOg6guwEulVT8dqOBnBRGpLc7FqyuLSIvCTAd4OuXyhA5HotFFXmFhwRgsaziaxeKuLfTATjgs+0WPnnawpN9HZLgYyYn4knDxnJRQUaW8MpiDoIgYqmQRSmnoJxRUFIFFGQOHi9ivqSibQN/ermMa9Uc/stqHa4bQBUD1DQXtzc1/JvrM2iZPiRJQF6VIfEcfvmwjv2Ohd88aWEhJ6HWMTGflfGwrmGxIOPOto5qPoP/5ydbeGlWwtq+gaWiil3NQU0zsdHQ8bjWxpO6jkf7GmbzKh7WNYhcAEUWoYg8+IBD2/Lwq0d1vDyrYkt3kJfDiX665WFtX0NBFrCjOXh9sQBe4LHZcWA6HlbKKj7ZauJCQca+4aKYlfHibBbNrvVBFTmoAh9lOmBe247pYD4jwgGHe3UT10oZtM1ujuVuTt35vNJT7CSsUBa+ULHsCteqOZieH53n7ByOvxwWVRlOcDiiy0r7pglgxrRGIM+C07YZnLagPuqEuLTfjbOPxpk71K8PJw1ZFxKcZ+sCMV1M4iE2Shtpy/T7jEWpmHhNG4pN/pvZEuKwVF8AoqHXeEqluKVBFcM0YUvFTOq2sKpsT9vd0r+OG1U+K8tCdya9EKZn0sLIW4DQ1rhYzIRiWBax07EAAI7j4mk7/HdOkWBZDhwAM6qIp20L9Y6JF+eLqOs2XpvP46ONJpZLGdzdbuDVhQI222GU7kpZheYCRZmH5QX4w2YDVys5fL7Txh8tl/HpdgsZSYTIBdjVHbR1G4vlDESOg2a7aOgOXloo4uJMDr7vw/ICfLzRwKWygo7lYm3fwouVDD7ZaqBjeai3dVQLWWQVAQIv4YW5DPKiABfAas3AbF7GdsvEvm5C6ab6CuAjI4koyhJURcBcXsZnWxrahoYnDRNFVcafXquCA6BZPjbaFv6HLy/i3m4Hf9hsYLtl4WJBAi9KmCtkcGUmg7V9AyIfoKF7+MaVEv51dR+vzKv4eLODv3lpEY/rOjabOioZARttB67vIy/x+OryDJqWh5LKY7djo657+Oa1Ch7U2+jYPnTDguUL+Ps/uoA7m21cKGfA8zyeNjpoWy5eXijD93xkZAGa5SAA8LiuR5kK/uJqBWsNA77nd/dROIksbpvRbDc6T1gmhcf7BnKSgLwqRZXx2PmcZv1h/97pWJjPK2gZdvTgHpRWLI2dtjnQ0nCWqaiIo/OsHLvjPIPYdTDpdGXjQNYFgjjnTOKCH6WNfoI2+SYeDZPGZp0nl0+KXM/3I1tCT/sCj5YRZmyIT2Rj37cMGy0z/H9Nd6LZ8Oz7nn7JYWaHuXyYTQH/f/b+rMmu7L7uRX+rb3effSZ6oKpYHYtFUhJFWbZs0nb4nHN97vGRFTfufbX0DazQJ1DI30D0y3m5D5YYx8dhnyvbpCyKIim21aMKQCEBZJ+5+71X3811H1buXYkkUAUUwSoUmSMiA8jMtddembnmXGP+5/iPcbw071gau9MYU6kaz7bHEaYsE6QFu+OIoii5NwwrmUWUzo8bxTlJUbLmmiw4Oi3XZMGu9J6FELy40uTQS1hvWGxNEtrHPq1FKbM7SdEVCVUq2ez7WJrCMKxI09UFm61RxG9f7PB3d4ZcapskeaVljbIS21AJkgJH1xhFOQuOysE04k7fJ05T3t4dokqCH9wZMQpiLLXktb0x6y2HIBcsNgxKScY2dL647qBQMskEpqbg6DJlkTOJYnp+ZcclRKUZTrOcXhAhCcEbO2NUKWdnFNI0NRZdi/1pyigq2J9GvLBk8L07I1ZqJq6qcm3B5r1+wrUFh1zAvWFAmOZkhWCjbXPgZfyDyy1udGO+cqFDP4iZRDEdR+dOP8RUJBQJWrbONCl4ZsFmf5ox9FNeWXG4NQg4365hayqSIvPCao13Dj1co9JX708ioiRHlSXyPCfKC6KsgFIiKcqK5JaCml753Dq6gm0o9Py0StYDpnE2t78zFXke73yx7bA7SdCkkhJwdKWSIBTivnt9dp8XhZifp+snrNga7x55H1SAT9mKPYo12ElCfXL8nByPnwRR+lXczv808Wk2qX0S7kwnd+0e167s08AZ0T3DGX7N8FGTzmwCO3387HsnH8QzWcLpcw2ibO51O5czKBV5CdIcJAjTAlOVWXINxknB+ab1c1ZKswm156doEnhxduzvqxEXYq7TjfOSzy3V0PSqktc0Va4fTWlbKtvDCEWRiYuSKC0I4gypLLg18BDHEgdDrdraW4bGm4cTDEWw1fcY+DGjIOKnOyMuNg22hgFpnpMVJY6uE2UFDVNl0TUZBgW/c6HDt9/v87+/vML370642HHohRlX2gaTKKMUJfvTiOcWba4fhTQMmTjNeK8bkpclN46mvLDqEuUyuqpysWMzDDO+sFYnSuEL63WuLTjcm2S0aw6mqnDzaIqhyLzXC6CUWbR16rbJ+XaNOJdYazrUdZ3DIGO1YWLpBi+uL+BaJmmZo5QFWZ6hazJbo4QvbDR4fXeKY+lMEsG/emmJNw6mtEyFUZhwb+DjJSXLrk7T0jjwMv7555ZIipJJlLHkGEzigmdXmjRtDVtVkWWV51fqDIOMlqXQdFRuDEJeWKkzDlNGUYpcKoyjSq975Cfc7PosORqOpdNyqupu01QpAddQeW7JRZFlBDJeKjjXMPHijGGYEyQZcZrys90xkyghSwvuDUMGUUbtOBbaVCXaVmX5VjO1uQQlzIq5Dn1WBVZkmUGU0TSU+QLuzjjm1fUGcfGBzdiDrMEeRCZ+bmF4wpXk9Bg7jUclJg+SRDysw/5XVbv6aeLTIHUPu98ehEclnx/mCDKT5zwKPs3K9hnRPcMZfg3xsEnnYZPfw3wSZ18/SUxnYQ1hUtxX7Y0LgSLLLNVM6qbOSv0Dc/y5RZmucm8Uzu3DZjrjc02T28OIKC1omSo743juWzpzUtiZxCy5Bn6csTOJWHQ1vntnwIqrzzW+JZVcwTU0ZLlKsvLjjFGUM4lz7o4CFl0DL8rxMoGhKViagq2rjBPBi8t1vCRHVVWuLVWSg7QoibKC5brB97YG/NOrbf7Pd464tmCR5wWyLJMf61BrloqmSOxPU/63l9c49DNkSaJuqoSZ4KWlBtujhCttC0tXaZoafpzjpYKmU2lfDycJiiT4m5uHvLc/4m5vwt9v9Vl2DUqppOMaXF1wibKSf3S5zTsHE1S1RBYltipz5MW0LAVVLlmyNMapwE9L1uoWF9ou//mdfShiplGMo2sc+gWX2i47k4TeNMHVYRwn3O77pGlGkObc7oc0DJUlRyfIBauugW1I2LrOSsPA0mAc5/SjjCQXaJLCMwsu7x5OeXt/xNHY4+5oSpRlHIwjtoYhhlLy7tGUmqFxtWPTcXQUWSbOqvS69/shjirhpxl1TeZmP8BQJAZhiizLHHjJ8f2RcXcSkWUFmlRyo+vTttTKszfKeWbRpR+kNA1l7uwBQFlVbjWOXUNcg30vZRjlNA0FW1fmDg0P0srPtL2nwyFOE8uTC8mZi8PD8Kik9EH634/ayXmat9ifRjxtC4MgeXBs9IfhUUjuw+63z9L9ckZ0z3CGMzy0oe00HlZhOtnFqygydUuvutwVmSCtnBRMVZ4HQMzO5Rw/jGdfe/fII8sKRkHE9YMpUDWidf2EtqnSsisdbduutJezZrsbXZ+GIfOz3TF1QyErSpK85AtrDa73/DkpWXR1Li04NCyDqx2b24OQtMjZHYb0/ZAsLxgGMZIkUzcrIv3WQcDLKzUcQ6MfpoRpzpKt8/dbI3RF4tBLmIYJQZphqTI3ByHXFl2KsmR3EnO+abI7ivnCmsNPdsas1g1MXcHQNX7n8iKCEj9J+dJGg4Mw57kFm1u9CapUcv0oYKOh8t7BmGVXpTeNGccJm32fKE+5OwyRFAVXlzn0YjYaFpKs0jA1DFXiP10/4jfONxmEBZom8/4w5lzT4MaRR81QSUuV55dcLKWkEIJ7o5jfOl9nc5TipbBe17jRnSKKgrYpsVQ3CXOJy20HkHn70MePU7YGPm8dTLENjXMtF1kFuZR4frVBlJUEccZmd4ooMvJCIMkSXpIjSSUKMqWssFp3kCSFUZRTM1TGUeW6MAxTbvV8FFlm30uI04x7fY+aLnNvGOAaGqUEC47OW4cejlqR3UIIbnanIAr6XkgplVzvBmhSySjMCdOCVVfjejfg1fXKuWO5bs5dPuaNjaIiodMopWFUKW87k5iOXclt1msG2+NoHk8NH8T8nvz3ozrdoUpg61javJp8epw9KimtGufu185/2Gs/S6TlacDTWAX/ZTh0/Kosgs6I7hnO8GuOB03ajzOBP6yLt2Pr8y1g4NgPV57bks22atM858fbQ+70fVZrGv04x9V12rbKT7ZHLDsqUVJQszQmieDZJbeqFh9LLAZhiq0r7IwjmqbKNC34yoU2K/Wq+/5q20aT4EbXn1/zoqsTJpVvbk3XcW2dhqlj6Rovr7Xw0oKmqfL39wb87qUmf3XzCC9KyEWBF6W8vldd1/X9MboiEaQZ390cseBo9PwEV5PRJYXluskbexOW6wbvDxJ+71KL//pel+eXbN49nHBvGLI/SVhxq2aur15s0Y8zHE1jEGRcaJl0fcHzqw22xhlXlx0OpgmiLOlNU5brOgKZpqXjRynDMGPBUXj30GN7OKVpSHzndg9bl9EkgSGXvL03QVMk9sYhcZpRMyudMpJCy1B5c9/nYtti0Vb5/p0BTVNiFBestWrULZPPrdTxkxw/TAjimJuHHn6S4kUxcVrQsnU0SUaSJSxN4VzDRJIkWrbOSsMhyqFl6rimiqMotFydS51aRTbDFE0uSLICU1fJipIgyuh5Aa/vjqjrMtvjEMfU6AYZL602SIqSAy+hH6S0TJVxlOEaGht1u7qXM0FdV/FSQcNUUaSSfT+hbam8uT/hUrOK9L3UceZ6W1OR5wuzuqlXuxBW5Z7g6Ao1s7Iqq2Q31VhpGlXIxIzcziq6s52K02PkQfIF+MCp5CS5OL2YfBQ8iPB81gnL04KnlQD+Mq7nQT0enzWcEd0znOFTxi9qMfaLHnt60n5YteLDPj/9UD65HQugyDKXOg6KLFM39fse5HuThJVjYpDkJb9zqcNay5p7nt4dJ1xedAnSgs+v1BiGOTVLqzxPhcCLMrw4I0wLpGMbJ0WRMVSJjYaBpqncGUUsmirbo4hpnNHzU/b9uNKDhilNU6VhaFxecBnHOV9eb3CrH/LPnl3k5iDi82sNdEUiExIvr7V5cb1FmINpqPipIMkE1zoG//e7h7QtlVv9AEWr9LNFnjOOYs61bP5+Z8rvXW3z/33tgFtHE76/uc84DPne3SGWLHj7YEwpSry0wE8zpkmKn+b4UUpdl3h7b8qVtsFmLyQrBFFWsF63yIXMasNiECbc7geM4oylmo2XlqzWdcJUkBQyR16Ca2oEiWAQZLQsiZ/tTlirmQyClFFYNZtRKkzSnAsLNdKsxDFUdEXC1qEfJDRtHQHomkLbNYiFTM3SOfBTDEWiEgCU7E8iYiFYrJm8uNrg7jDiC2s1/DQjL0r2/ZS1hknT1NieJry0WkdWVBxTo24oTJMCRZWRSgVTU7g7DLnYdqCESy2T28MQqSz4wWaXG0dj9icRiSjp2Dr9OOc3NloUpcTVRRdLU7jQtOhHBS+v1NidJlxbdImLkiXXuC/uNy5E1SR5vFib3eOOrmAoMkIIun5CcazxPt+0eH8Q0rG1Yy/nDwIeTqannRwjJ313Z1KHjq3P3+thdkxPI9F4Gq/pl42njeR+EngaK9mPgjOie4YzfIp4Ep2vH/Xa2cP0ozLLT/7/o6JMH9T0cPp9grRqQKPkvmYdx1DnEoaOrXOp49CLc841LWqmxsxnd6ZvfHW9QZDmCCF4fxByrmlSFIIjL6bvpSDBMEhpO1WogBCCrVGEqcjzzvtrCzbjOGMc5/SmMUfTkN2Rz85xc1nfj0mFYMHRsTSFnWlCxzHQFZXfvbLIJM5RJIXVuknTNenYOmVRORo4ukws4O4woaYrvHlQVVJHYYKpStzqh9RNnTDLWbAUvndvzGpNpz/1SQsJTVFZb9pkJfT8DNuQSQtBy9Lp+5U++dBLMDSZF9cbvHEQcKld+dxuDmLqpkyJRJQJsjxnd+BxNPLYHccs1y3CuGClpnOn71HTBGmWkomSz63V+dGuz1fO13i362EqsNkL8OOcnh/i6jJeUqDpMjLV73QS5DyzUENVFC4tOtRNg6apocsFR15Mx5T53p0ewyDj3iBgZ1hJG6JM8L27A1ZchR9tT5BliYNphCYJXt8ZMwpjFm2FXpCy6Bqs1C28KKUUOaMwxTYU7vZ9Fm2NopRYrJkoksyFlsNbBz4Xmjo3j3wyIeh5IZu9CVmec3sY8E+vLdKLiuPGsZJz9SoZr2WpZELiyoILMLfWm923HVvjRtenY+tzt4WlmklWgq0pmKpEkB3rz3PBxbb9QXOm/oEk56G6yfKEvd6xzdhscfig8Tpv6nzKiMbTeE1neHJ42ILr9PeeZpwR3TOc4VPEL7IF9iivnT+E0vyx3udBzWgn7cFOP7xP283M4lEHUUbd0u/3Hz1ulJldU5AWXG6bx44Mxfw9Zw//QZgSpAUqEGZVEMDuNGHV1RlEVXPQ51fr6KqKa1b6xoYhV1VcR6dja+xOEmRFZsmpkrvGcU7L0FFVGVWWadk651oOP90ZI4uC13eGLFsKt4chXS9GFoIbPY8kTdkZBbx3MGacpBxMU7ZGIbokAEFWFOiSjKaq2JrKra7HxY7F/qSyrdoaBRgy+HHOWqvOkmvzhY0WL67W6PoJlxcs3tr3ubZgM00E15ZcdFVlrWERZzCNcq60LcZR1Uj1uUWdH94bsWjLBGmGLKn0I4Eky0RJjq3LLDdsbnQD/t9f3kBWTSapzG9dbHI4SfgnV9p89+6YmqljaDKKprDgKgyinHGQsV7TKQVEx41cUZ6xM05YsivN83rTRlVlQOZCy+Wnu1NcXSHJClRZ4t4gYHcUV383qeT7d4f0gpgoqyzDTF1BU1Tqls6Rn+MaClle4BgasZDo+Tl1Q2FnknCxZdINKru3QgjeOphwOA352rUFgkLlXzy/QsM0UKXK17hpaDiGxjgt+OJG81hCoLA1DhBC0PPiiqym1aLs3jBEHNvlzSq6zy25fP/ekPWawfWDaVV91RXqlj7fmZiNr9m/AAfTiDQt5vf4aRnBTMvu6B9Uck/6ks7G0YPG4dO2Zf5xrumzQpB+FfGw3/2jOnLM/s6P4/DwaeOM6J7hDJ8QHqWa+rh4FP/Ck1uiH3YdH4bZhFcU4oEP79MPu1n3+PmmNX/9NE4JjhtkZo0yFUGQOPAyNFWlY2lz7a4mwd1BME+sujOOaOgK94ZhFePaD7nacTAUiXFacLFts+QaZEIizkvWawaKIvPG/rSK+M0KVFnGNjTatk6nZnBtoU7b0lGkqkv/Nzbq/PXtAWtNk//47hEbjer6rx95NEyVSVJwbxjwfm/KZs+nZiikWSU1aLsWNcvgpfUGQSYogdWawZ1ewEZT584gZKVukeWClaaFoap85VKT24OQv3qvSxCnvHvoc7Vt8P17Q2pGVQ3304KmVXnlUpbcG/qUlDy3aHPoCV5abzFOCkxdJswSrixalEhcXXLp+QlHfsw/e6bF//V2l1IIfvOcw/+41aflaPSDDFMFV5MIU8GXNloEmcTLqy6SorDcsPnNC4vULR0vrcjrMIr54daQUpRkec4gSMiznAMv5tkli91xyCjO8NMSQ5PRZEhzwe4oJs1ysjTmYJJQMzSGkeC3LzSYRDmmJnG7F9CxNN47nHK+rpHnBXuTiKsLNpNE8MpGB1tTeHtvDGXB3b7POM75+rPLXOo4LNRMXt1osVy30VSFjUYlSZjGVUNjz69CQLpBhmNoUFY+u+8eTgmSjH6QzlP1zjctXtub8FvnmvzVzS4NQ+HH28MqztdPPhh7xzsWc8Ka5kRpwSjKcPSft1+a7XwAH0glTsVsn7RtepBLwtOGxyW5nxWC9KuGD5OlPY4jx8dxePg0cUZ0z3CGTwCf5OR++j1OGtl/1HU8TIc788yNC3EfaT59zOzfeTzq7H3THFOW56EQjv6BEf/RJGHVreJ9qexs6fkpcS4I04I0LfDjjAVbJ0zzyht3HPHyao0Dv0pLAygKweE0wlAlpBK8JGNrFPHltTo/3p1wte0gyzKOqtAwVWRZRp7pLYOYqx2b1w881ho67/c8FkyFH97r8e7hlLopkxSCnVGCLskceRGWprA1jgiyDAVI8wIEvHvg0bFk3jvyWG7YvHq+zdYo5uvPLBDlEl++2KZta3x+o8l/fPuA7cGErd6YrYHH4TRme5KwWjMJ06zSpDZNgkxirWnjWjorDYuSEhSZi22LKKn0rlEKG00XSnhuqckgSFm0NVQZ/s+3jlhyNRRZ8IMtj+WaihCVK8SSazCKCoqiIBOw2jC53Quo6dD1U/rHgR5JJioCnxc0TZ0gq3S+cZoT5wXrDZtcyAzDnEstnSTPmUQpQQ7LjsG5lkmUCZBV2rZOL4j5/GqNd3sBaw0LU5aoWyqhkPhfnl/BzyUcU6fjGEzjnOeXatX9lhU8t+IyigXPLNfYn0Sca5rsTqp76zCoEs86rs77/RBVgh/eHZIdywx2vYzfu7rAoqvPvZVrusLtgU/r2E93tlB7dtHhhztjvrjW4K3DKdc6Dm8f+XPP51n1dya3mUkPWraKrSt0/eQ+W7EZ6Z5pe2dE4bR06GFWZJ8Ufpnv9zRWpT+L+LA5/FH7MT7q67PvPew8T9Lh4ZeJM6J7hjOcwi9jkv+kJvcPW5l/1HWcfu19etvjhpnT3eMPc2w47cCwVDMZpx+EQsy2Z+umzlrLIiulebPavWHIsqPy/iDkYttmmlW2T5cXXBqOUUkhdIWiKLnQsshKKlJdVMRYAvb9hEGYcqFlcWcc8zuXOijHoRBIcOglrNVMdkYBu9OIlqHx050xErBcM1is2QgJGqZGSYmuquyPI863VO6OfdbqLpqq8Pxy5QCx56UIIchFjqnLfPtWn5dXLPYmKS1bZ6Nu8KOtCdcWbY78jI2Gw1v7U9ZrGm/u+xSSgmMafHGjQcfWiQrBoZ9zoW3z3Ts9+l7MzsinpisEiWClbjJNBF0v4VZ3SpAkmGrJkZ9Q11VGccyljs04ESjItB0NL87RZIVnl2pkucTAi2haCt0g41bfg1KwO4kJk5SkKNkZxgz9kN2xx2bPp2mrZAJarsE0FTRMjY6rMk0KLi64TOOc/WnMP77aYW9S3TMtS2XR1hjEGbd6AV/caAEy3SDFkGRe25twsW2z0XLoRzlNXaFmqNw4mlZpZCIjyQp0ReJ232drFOBoCu8c+vzPL6wyigq+stHiP769j1wK3t7rkxc5W6OI3jTGUCT2vZiGqfLmwYQsyzEUiTivPJ3bVrXg2Z0m/Ob5NodBypJrVM1kx3HA1zo2twcBX1hvcOCnfPViuyKougrSB4u2GZZqJrqqIisymlxW1WQvnqerAfOq8UnJwmzsnHZY+LB541GdUh63afWXTa5/nUnuL/p7/bCeiyCpfMwfZE/3Ue/9uH+Tz9LfUCrLsvzow3598KjZyWf41cRsAvksVxw+zILo9Pce5XOotlhnW7Mnq8MP6gIvhJi7Kjzs/CerwPdVxnSVaZxys+tX29WxoKErZFRJas8tufOq2cE0YrVuEaQ5Pb+yGBuHCe8deSy4GoYkE5cSDVNl+bjyoMklO6OIEni/H7DsqOxOEmxdRUZwu+tjmzqvnmsx8GIkReZC0+LHOyNcTebOMGKtbmBqCs+tNPkft7r0PJ+Nhk0/yGlalWOAQlUt/e2LLX62O+Fuz+N822Fr4LPSsDA0jfNNk794fYdVRyWXZK4sNliqmdwdBtRVibqj8trOlIYOXT9ntWkQ5xKTMKXnBbQck6zIkSUFS9e52LLIhMBLM1Zdm1GSYSgKozCkECWKrNCwdDqOzs4wYBznyBK4hoYqCfpewkq7hi4Jen5aEUFHJ81zTN2kKHIWHY07o4jfPN8ESeadA5/nFg1e3w95YdliZxgwSuHltSamJPjR9pjlmsVa02Dox7y17/PKusuRl5KKgtWGja2qLDdsVEruDgMEMkuOQpCVZHmBqWu4hkyY5pxvWbx3FPDljRq3Bgm/e2WB7272+X++uMp/v9VDFgI/F/zGhQ5yWXCjF9A63oFoGhrvdae8sl7Hz+BCy+J212MUpay4Bt0gY6VuUDc0bF1BUarF2I2uz0tLLrdHERsNo7q3j5srgzTH0VUKUWl6zzet+8bHNE7nISkP0jmeHB8n556Tx3zYOD95/MPmrY8zp33YHHKGj49H+Vt81Px98m8+w4Pm7AfdB0UhQOLn7Os+q3hUvnZW0T3DGU7g09hWe9KVk4+aJD9sW/Tka0+mKs22qWa/m9ONCLNqVZDmzKKlZg/6Wff5gwjx7Dy9IKEQVWc+JVxoOyiSzKKrV3rPOGPZVnltbzKXQjjHet139iYEcczWMGBvUumCNUXlMMjQpJLN7pjD47SpSSyYpoJhmNK2NXpeRs2oYoNv90MkqWRvHHDnuMve0hS8tGClZqLJEoZSBUm0rSr+d9lVidKc9wchazWNfS9GVyRapsZvXVpge5LSMDQutm2uHwU4hszdYYiuwM4k5d989SqTvCK5liZzMA1RyOmFGbuTnH90bZFSUllrOQzDgmkYMwpjapZB3dLo+QXLdZ2Fmo6f5URZRsvSGcYpEoJpFOIlAj8pSPMCVYbrB1NcUyMrBBfbFooiM00KWq5VNfVpOg1L5XLbZRRl+EnONIzZaJm8d+TzT68tM4pLmpbOq+s13u8lvLLe4MgXbA4jnl2w2B4G/HBnhKJIrDRUBmHBzW7Ab15qcXuYcL7jsNpwARk/Tel6IXdGQRUiQc5mP6Rt65h6JTOpGSprDZukkPnatWV+sOXx+dUaf7fZZ9FW+e7dIUs1g1GS8sKywyBM6UUFi46GrlSV/GlW8MVzTe6NYq62rcqRQ4K2ZZAjcb7tsOgYxEVJL6jkBUfTmOcXbX68N6FtqnhRZU1XCHF/CEqa07G1+1LQHEOde/DOd0QeIFM4+f+HkdyHzREP0vaexkyn/zhz2q8CCXoa8SgV+o9yxzn5+gdVb0/fYye//iCP5ieFp1lzfUZ0z3CGU/ikSe4npcE7/cD7sEm368WkacHhNJpvt56sxhaFmLswQBUGMavIKoo8J6NFIfDijGmcMo0q8hAk+X2EWJFlaqbGG3sTLjd03tifsORWEgWoEq+W6yZHYc6r640PSHZa4CcZpi4zCAsutB0W3crYX5Fl/ukzi7x14KEoCt0wxY8ysjwnTVOGfoKjKUSixFZVZKnk2UWXm72IJVtlZxiQiAJVqrxgL7VtglzwylqdAy/D0hRe3xkR5ZXB/5JjsjmOWKvpHE1ikuONstWaRg68uT/lfMtge1z54d48mvL8ksn/8eNtXlg2ePdwQpTmXN+fsN0P6AcJLVPmpzsjbF3GixIaloqXFlWTVdslSOH3rra40U+QEYRJRpaXDMMcQ5Hx45ztYcJG3abysih5vxew5qr0/JTfudxhksBa3cRSJSirLfWNpknDMHi3O6VpqqS5IMoy3tiZ8A8ud/i/rh/QNhXirOC9o4A0T+n7IeMoYclW+ZvbQ7wwYjiNKYucn2yNqyZEV+a7t3ts1FVuHPk8v+yiKzINs0oisxSFjqsTZfD8iksqSl5crZOXgjwvcQ0NTZEYRCm/fbHJ9+6OkCnp+jGbPQ8/SmjbBm8c+NR1mVGYsuRavHPooUolQZIxjHLOtyqdra0rLNdMVpoWL642eGG1jq5V0b5tSyMuSi4vuBwFOS+v1kCCUZwfxwcL4rycLwAVWb6vcnt6QTm770/jQV8rCvGR0b0nXU5Ojs0HnXvWOPQ0E5HPKj7O7/TDni+PUmg5OX8/LnF9GAn+RfFp9qA8Cs6I7hnO8Cnik6wgP+iB97D3dXQVRZWqBKjjGN+5wf3cSqmgEOLYDxWOpvE8BW0GXVNZqVuVFZMiz7eDTVVmcBz0MNv+/eqlDncmKRsNa14l8+IMpKo5bdGtGoRmOuEkL2mZKmlRstG0CNOC9ZrJOM653LT477d6fOVcnbvDiAtNE0OT2BrHSLKMLEuM45xLLZNumJDkBdePPP7h1Q6hkFlvWnRcm7ujmK9eaPPmwZTfurjIMM653Db56/d7rLrwN7eOsBUFx1C42LIZRQUbTZuGpfN+12caprzf9Vitqdw69KjrMqZucHWxzv/xkz2e7Sj8j1sj1ms6r+1OaJoqORKaBG/tTUnSnP1x1fi2PYxomhqqLHE4DqlpJX/z/oBzrk53GhPnAj8r8MKYze6Urpew5Kq82/NYdDSirCAtSpJS4vnVJrqq8o+vLTCNcm4PYgwNbh35TOOcd46mnK+b7I1jklxiEmWYhsK3b/WgSPjmG1t8784AWRKcazlMYoGlKaQlXFu08VJB3dHJkWmYGrkoGEWCz600uHHo0bQUfnB3RMtW8TPBWt2iaWus1S3WGyaHfsbnV+vsTVIaukpYFLyxN8GUq2r8oZdwqWWSlyWZkLncMnl9b8okzmgaMv/p7V1amsI339pn0Vb49s0eOyOf3VHA0SSiLDKuH4wJ0gJHV+bjYGsU0bG140WbQpDm2LoCJciyzPmmRZgVBGlB01A4nMb3ac67Xjwf0/Mxk+YgcV/89Ww8PogAB1nl43tyC/pBkcEnq8cPI8Kndb5nZPfJ4ZdF7h638v40VN+f1HPso5qkP+7v/IzonuEMnzI+qW2kx5mMTm67Avd5hFb2YMW8eUyRZbISLrTs+6QNzZn28Ph1R5N4/n/KSnM7DlMOp1X1SpFlnll0qR8TiKPjZqL3+yFyKbjd87jT93jnYIIXZ4hCsDkIKQFDlTAViWGcsV436AcJL642uDOK+V9fWGGaCg79jM8tuMRpQZBVMbOUlUesIclYmswoyllv2vzW+Rb745CNusqf/vVNztd13twbYchV5fPKostf3Rjxz59bYJLkqIrMSs1gqWZwq+ezN66CHN7thjy/VEfTDJ5ZqbNSt6hZOooMX73U4t4g4YW1OjcGMa4uIykwTkqSXJALgRemZKXEoZ9yqVU1gS3VdKI0Z28Ss9q0CbMMSVIoS4kSiSQvMVWFmqGxM0lZdlR6Xg7IPNvRCbICCYEE3Ox63OlXOuAfbA6J05ifbQ0pi5zX9qeoMuyMAwZBxOEoQtcU7gwSsqJkd+QjyhI/g8+v1PGiGAkJW9MoRYkElMgIkZNkGXVbZxjlXFxwGXgxaZHz95s9mqZCmBeYmsKdQYStyyglvH04QVckDv2EJBE8u2jxvbtjnl2qc67lME1zXlltcmnBxcsFazWdUZixOYh4dqnG394b8Oq6y/u9AEuTECW0bJ2daUQpKWzUbYZhOpfQfHezz+faFn+/NUKRKyu9/XHIJEwIs6omHhcli05VgX77yOdcw6y8n8vKcqx5fO+fHDOV9ViGqchziz2ojp8R4NPjbrYgPPn10+N7tmh9GBF+UOTwma3Xk8Ovi3vEo94vT4LkfpT12cf9nZ81o53CWTPaGT7r+GU01M1X1McP7llzGkDTUNnzEpZc477GmpmVmCaX3BnGtE2JIIUX1xrzc93uefN44Nm27+x1HUtjEGUsuQYH04jNQciCpTCJc2RZRlckgiTD1XXqtl5V3gBHVziaxiy4OkFaMIqqTntTlrk9CjiaxuhSia6rjKKcL641+Nn+hN2BR1bC715dQpZl9sYhm70p6zWTwyDl5bUGwzBBU1QKUXnKvnng8/Kqy6Jr8qOtKmwiyBI0RaduyJTI2IYCksytrkeeZ7y03mJnXIUoXOk47I1D7nVHjOMS0zRYsUv6EXhxRtMxQAjqZuVu8Nyiw76XosmCIz+jEBXJH4UpTUNhnAgkSeJy28Q2dQ5HAYpcVZwFVUxw3dQRonJIMFSF/iTi9b0x5ztVtG5UlFyoq/iZTJGnHExChKxyqeOiyRJpXpAj4Wolpazwrz5/jv/23hHnGjqHfkIpqRwMptiqzGrb5tBLaFgGMgJXUxmnBZoiMw0TVhsmC7UqUUyTStI8ZxAJVmo6gzDjSttiFGcsuBb9IOWlZZsMlYEf8/xKjRvdgEttmwMvYXfko8gSEiVFKfPqWpO7owDb0GgaKlFecOQl/IPzTd4+1gCvujrDKEMqwdAk3usG/O7FNsM4Q5Yr67kSSPKSNVdndxoTF+WxHZ7EJClYdCuJzVLN5O4gYMk1Phg3s2a1QjCIKpu22Q6JBuz7lRXa3MWB+0npySjh2bh6UCPb44zjX3VidoYnh0+6Ofth9+fDvn7WjHaGM/ya4lFXvY9qTTQ7Z5Dm80SzmQODo1ckdxYMMWs8K4TAVCX8OCNMBOeaFv2g4Hz7OEDiuIrlGhqGLHE0jfnJ9mgufThJcqsql8bXri0S5ODoGpamoKkqmqrimJVnqSaXHI4jen7KgquzO6nIt60ptE2N60dTWqbKoqNzFGRM44znlxze7U0RomQUhPhxzDu7Y97cHbPsKkhU8b5tp9JhyhLcHYRIlLy+O+bV1RquoXH90OM3NlyCQjBJCmJRkpUyhq5y89Djje1Kt3qnH/B37/e5158QRQlbo5BpnKNrOk1Hp2OrIGkoisKqUzW6tW0FSYIlV6MfpVxsu3ipoBAlTUOiP41Za1i8PwiIopiaLvHeUYil6by03sA9riC7Rsm7hxOOpiHfunmEF6dsdie8P/BZcFS2hx6Hk5CWAQdBCQgkRWWhZqKrModeQlFk+LlgvWWjKSqrrsF/enuPf/niIq/v+6zWbJqGyuXFGo5rY+omv3G+TdPUkWWVSAg0RSbPCxq2jiSpLLoml5om3SAFJFxdoeslXFsweWPfY7VmMgoTNFliGBXcHfisuRr/+foRNV3mTm+CF1WLI1FKXGnXWK1X7hWX2jZNU2WcVJrwL200eaPrs1ozaJsqd0YRNVOjlCBMBF+52GacFvNFU83UWK1bvLBa5/aoig02FYmslMhKWHR1ND5orOxYWqVHj9P709KkagE20687ukosqtjgQZhW1d6o0rHPHuqzMXaymfNkxevjEI+TJPkMZziJX3QX8EngoVK6X/D9zyq6p3BW0T3DrwNO29TMLMHgwyeVWSzv7BwzmYKjf0CEx0k+/9xUZHYmMRfbNkUh5v6haVagyBJxUXLjqEqlutSxyYXEgq3PgyMWHWNODq4fTDFViXvDAFGU5MCqW9k9LTdMXt+bYKtQlBJRWnB5ofKsvbZg89ZBpY+9OwwpSkGSCMI8R1dVFh2NMCu4fjhFlRTqlsIzCw7f2Rzw+dUa7/cCvrBe4/1hiqtC3db4ydYISwPHNLi8UKNlKryxN2VvGuMolS5TlmWyAoIkRULiaBqh6Cot08BUYBKluJbOc4sOrx8ErNX1qooXpIRZiaFAw9JZcE1yAcMwxFYVkCTKAu6OpmSlwvPLDt+7M+GlZYNbg4RJmPGldYdeVHCuU2O1ZrE19Nns+zSVgt1A0DDAzxQalkySZByGOYu2hh+lGJqGYag809EZpzJ+nDEIEmQhQFG40tZJS42GKdP1M55dctj3Ml5actka+5SSTN3UUJE53zJ4/WDKhaZFz09ICsFwGlNIMis1jZWGw+WFGlmeI0qJKBc4moSlKfxwa8I/e2aB//xel9Va5bwwiku+erHJf795xPOLLrkkIVG5D4yDhAsdt1r86DItQ+Nmv/Ie3p0ErLomhqHjGBp1TWYQpRiKzDQtONewKIGVenVve1GGl2SM45wvn28DcDiJGMY5q65GVkpzK7Gun1Q63+OKbNdPMFWpigc+1qV3/YSOVWl/T1qNnSSeM2J8srlorv8tP/De/UVN+j+JKt1Z5fiTxy/yO/+kKrdP+r44q+ie4QxneCh+bqVe8kEF6iGV3iDJfy72d6bFDdL7o30do0qKGkQZzy25AAxmkai6iqJIKIpMmBYs2ToNU2V7FOMaGouuQZyXlMDOJKbrJ3S9mIah0AsqX9JxkiGKknGSYxlKlV6myRx5CX0/xosT3tmfMI0Svr/ZR5VK3tmfokolh5OYnWlImOQMj23NvKTqrN9oWXzxXIub/ZDfutDkejfgc6s1frQ94eqCSQaMopwF12AQZEzCGFkqudcPGEcxppSxPcnQNR1Dq8IIFusmtq5xfqFOTQVR5BQoXFtpUjcVXtubcrVjoSkKh5OErp8g8pQjP0ZVwE9y6qaEH+TsTRNWGzZBUXKx5aJJ8ObelH/2bIP3ejG/eb7Jl843ud6LsRWZvhdy+2jA0SSgZapMhULT1kkKqJkKYz8hyuFc3SDJS84v1Oi4Ois1kyBXON+yKcsSuSyJ0oSWY5KjYaolQz9FAgZ+de7X98cM/JwFS+NOP8TS4b1uyOW2zWu7UzRFJkgFgpKGKZOjoMoSozCpquWUWKrM/jQhSAX/64vL/NWNQ15dd9jsBwzDgt+91KYbZFxoO2QCFEk+9hMGQ1eYxBkNQ0UGdr2E37zQphdmaJLCYVAtxBSpJClKNFVlHGfUdYUgq5rSvCirHvhFyTBMsVV498ij6yc0zKrKmxQljq4wCNO5rVhRfGCvZ6oS26PKzm6mte1YGj0/wVTl+5rX4IMGtpl7w0kiMPtaXAhMRf655rXT/3+USu0vu0p3pgX+5PGL/s4/icrt7BrvHls3fpI4I7pnOMOvEE5OdCctih6E0zY1J31yZ+c6mYz2IBK8VDMrfe4xAT6tJzzftBiEKV0/QZOYb+nOTPefW3IRskzTsXh+pYYQlZaxbav4Uc40SojTtIoELgSOpmBqCtM4Q1XB1BT2pwnLtk6YF2RFSdvWMTSFXpChKRLGMfEopZJ9L2PB1akZKnkJqw0DPxNcaNlMkpLLbYt3DjwutUx2xzEdW2UYFrywWqM7TUhTwThMSYTASwUNw+TIy2i7BqKUq8Y5SWCqCpMg4dklBy8WrDcszjdsvFwmLaFpQhBn9LyMtBDsDH0mcYosl6jIhAU0DI1RmJHmKe8ceAziFFsq+c6tQ1qWwhv7U3S5xFTgO3c9Xl51efPQp+WonG9ZyKqMjEw/EsiKRMtRWXZ0VKmkbptkaYquq0zTnO40xjI1BlGOLEsgCkxVZuxHyIAoQVJ1Fq2qyS3PSxabFit1C9N06AcJlizhWirvdQNeWqtxpx+gKTI3Dz1spWB/EpFlVUVHVTTONSy8KGPJNrjVCzE0if9x65AVR0GWZd7rBby01uC1PY/Pr9epWSqjJMfUFGrH/sauLrM7CjA1sNTqvvXTjJ5fNfdtjyM0IC2rqu2BnyADr++N8ZOMCy0HLy1YrpnUTI0gK9gZx7ywWufSQq1qWmtUmtu744S2pc7dRmbe0XEuiIuy2nnQVbZHEapUcjT9YPwpikzN0uYWZLOdlLuD4L4Gtof5ny7VzHnU8MnxdXJ8zr2sH5HsPi4epynp16FJ65eBJ01UH+d8T+Lv9WHv5xhVdPt6zfjIZ9Mv8j4PwhnRPcOnjrOV/5PB7MHX9eJ5pfVRJ5STpPfk12YWRqcn0ruDYP5e55vWAztl4djQXlcxVYm4qLxHTbXa0u0ex/RuNAwutCzGUY6hSoRpgSLLrLUs6pZBLiQutm3qpoalK4zClKtth2GQEWUF6zUD/7hC9/VnFvFSwTDM+YeXO4yjgqW6jRACWSpZtDWEgOWayZUFl8NpSsvSyYWgFIJ7o4CyLBjHGX5a8qWNBk1bo27ojOKCTBTsDKfc7XksOwqbgynjIOJHW0NURcKQZWwFRmFCx9X5wd0Rzyw6hEXBgR/zuUWbUoCp60iKjKtLmJqCn5UMg5SdYUjL0agbGss1C1WRGHoJlibjqhJvdSOeX3H40daI51dcDr2UICto6zLfv9OnjCO+c2vAck2nEAJRCjqWgiYp+AmUksT5loUuy0iqTp4Llt2KWN4+miLlKV0voShLjvyUYVyw4KhIqoYpCXphxs3DMXVLZehn1AzY7PmkWcbtYYAX5yy5Kre7Pq6l4ScxYVqArJDkJZc6LoWQ2GhZaMfb+9/bGvJ7V5v81xt9zjdN/tutAboiYUiVR+7Fps3OOOVi02EYxByMQ7bGEXVTxUsFUikhI3HkZ7Qsld1xzKJbLbjSoqRhV04GkiLx4nKNv7szRJcLDsY+39ns8/yygx9nbI0qUjyJEq4fTOcNkmFSzHW4hahsx+K8nFdfe35aPbyPmyjPNy3yUmLB1Y9lDPJx5Ve/b4xM45SOrd23UDw5duD+xeqDKr6nAyNmMp8HzQ2/CB63YnhGch8fT6Iq+yTPdxofdZ5Heb9LHWe+6/eLXMfj/lxnRPcMnyp+Fba5npZrP9nA4ujqR04ojzJxnfTdPakbbBoK2+PogVXgIKkS0eZBE2mOo1UNZZc6DnFeVW21Y39cU648ec83LYZRTpYf++cC55rmvDEIKunuesNiEFeVvSzPuTcKCJJKi/tuL2TR0XhhyeWN/QlfvdTi0Et4Za2BqanYhoqgZBrm3BuGNC2Jt/YmvLk3ZRKnhBlkuWBvHPO1Zzq8eRhyoWnz1sGEcw2dG10fSoW2Y5CVCufaLgeTAFeRGQUJV1eaNFyHlmMyiXJcrdqK1xWZy+3KZ/fl9RrTJKelqwS5hKEqOGplc+bqEre6Pg1dRlMlpFLi2dUGXlxQAF/acLg9yPjKhQZdL6NpG6w3TLysIM9ztvyEJUfltT2ftmtyrmkxSUoGYUpZZIzChHvDkFGcosuChqWzWHcpJIWXl6qK80urNY5CgSkX1DSJd3sJl5sawyRnHKZ0HJ13DwMudSx+tuuhFAl3BxEtU8VPckRZYqoSO8OEnWHERtPEiwuuLjq8tjNio2XhRzm7o5jdic+Fpsl/vzHgS+cafH+zz+cW6ry1N+aNgyn7k5RSKjnXMPjR9ggvStkdh0THDZESoGsSfS9jwZH4ydaIpqXgpYJzDQtRCGRJZqPpcK5hMUkF//TZRfanBbau8/96ZY0fbk2wdYWNukEvzrG1qrHxJ9sjTEVCVmQmacGFlkUmKm9pP87mtmHPLbm8Pwjp2BpdP0FRZF5cbaAc++7OnBNOe9nO/KAvdZz7xtxsPjy5WD05Bu/bYUnvD4WY4aMCJx4XZ1XaXz6e9O/4SZ7vUe6hR32/X1Rj/nF+rrNmtFM4a0b75PFZblz4pO1XHgWP8vt81Ot+WPOZF2WsNKwHbqUOjr1Jh2HOoqvTsfX77JNM9XhLWSrRtaoidrFtH4dEFEyCFNdSj+UNCoWYVYKram8/SBGFIC8F3WmKpEhcaJnkhcSlBYdCCN468Hhm0aXrxazXTe6MIqKsYBolXN+boKtQt022BgE1Q2GapOiSjKpqgECTZRxT4+qCzQ/vDrFVibe7Aet1jcNpjBAl15br2IbOJEqIs5KGIXMUpFBWNlp3RhGlyHl2pUPb1nnvYMxXL3e40QvI84yBnyJLJS3b5HrPZ9GqfG+fWzLZHUd0bJPnVur4qUCTBW/uTeg4OqsNl/7UZ3ea0DFgc5SzVNOYhJWWORZwoaajmwbnWw5CCPpezDQv2XA1hnFBmGYgSoSs0DQ11myJ7+96XGnb5CW4ukSalez5OefrMneGGTUdklLlUstk0dUpJZmuFxJnBTVDZWeS8pvnGrw/iDAUGMcpZVGQlBr/6qVlvn9vyJKj0o8KLrZshmEMoiQtZf7xtSW+s9lj1Va40Yv4wrkGb+8OuLrYRNc1plHCesPAS0oalsbuOORzKzXalsGRHyNJEpMwxzZkFCSuLNVQZJkkS5ElmaQoWXMNMiS2Bh7PLbhEpUSUFaw4GqM453zLQjledHW9uPJMlqBmaMd+t5WOdxjlnK9pbHsZzy46812Lw2mEcaw9r5v6fKwEacGSa9xnzXcy6nc2rk7+O/verNHz5Gtm/59ViU8S6JO6+dlC9xdxaTjDGWZ4Gu+js2a0M3xm8DQNnMfF464ufxnV39NNKI8aCPFRaUknK7p3BwGFEMfOB8fesA87p64SpgUNvdLSbh9bfplqJVeIc8GSa6Brld5RlUvu9HxMtSK2rlX52zYNhRtdn55fEVuAOC/53HINVVNpOxavnGtiaQqZkFhwKt/cOC9ZcjS6XoytKbw/CDAUiXEQcX1/iqZCKiQcXeXKokPHNuk4NtM0JxeCvCho2CqGJvPGrkfdVhkkGb99sUWal7iWQcvR8NOCoZ/w5Y0GgzBlHKakacHASxmE1c9pSHCrO+Un947Qyozv3x0QpTkXOg5pKbFYs3ntwGNBFxx5MW2z5FbXJ8tLpnHKj+8N2B0G3DyYVGQ1jHhtZ8ChnyKXBZujlBdXTEZhxijKkBWFmgbb45Qsz9mfxHS9BC8tMKSSe5OUQpQkaU4/zOhoBcMw5o1uxLKjcrM7QZUlRCnTDQuuNHWOvAxRloRpRl3NCXNBKgSjMEEtS/anOV5a8uq6ww+3xyw6CodeytEwIMwEKyZ8986Qzy3XSQtBy9QoSpBKiSgvWbBlvneny4vLNrcGMf/bK2uMIsEzyy10XcNPCl5ZrbMzSWlYGkEqeHWjTpBWTYQSVYNhy1HoeikNUyHPq3t6o2Hhp4LVmsHeNKIQgrWGxeY45vnlGtcWbMK0oOPoc1nN7PMqCKWq6FJClBYYisyCo9OPBc8v1ypyeewwIh8fP5MXXD+YMo0z4iTjnYMJ2nE4xEm5wUxbO4+1PuG+cLL580ESotO7KbN/TzaFnm58O8PTi6dlZ/BBmF3bZ3X39WwEnOEMHwOPSyxnr/k4E8WHHR8kVYzoLJ73UV8HD05LOv1zzSpHTUPhvSOPtWMj/7r5wTbpg95npW6RAVIJR17Msq3y/XvDuZaxikYt8OOMKBFYhjInyY6mIITgjYMpi5ZKkGSUErzfD2nbKm/sT7natrB1hduDkGc7NkdeQpBVsay3ej6iKCmE4P2+TykEd/o+QZqz3DCwdYPnl12KUlSE3FaxdZVFx0CSBIamIskqmgwlGVEquNiuczBNeWm9yUrNREHGVBVsXeK/3hzwTFunF+RomkTDUolyiS9t1DmKYKOuMU0K7oxTpLJkwYT/cr2LJuXsTSOuNlTujXO8uMDSNCxdRyoLdiYx/cmEYZSwN4nQVYV3Dn3SLMVPMlbrJufbLjd6KcuuQYmAvCBF4dJKnSyXKEUOZUkQZ5WdmVywNZiS5BmLrk4/lQnihIYuszuJqamwO4oJ44yLTY2daYpA5qUVmxIFy9QrOcY4xIsy/v7eiA2nZKs/4c3DkGstnc1BhKXCaqdGJhQmeclG02ASZYhSYsU12B342IZKWgClgqGpvNeNeH6lTs/PMBQIc8HeOKRtCP7ze10cTcKLElxDYnMQc75hMQxTtgYReVHwo60hzy9beFmJa2h0bB2BwqW2zSTKads6UVYglfC5Jed40VXScAzqpsaSa3BvGKJJsDuOKCVo6JW9GhJYusKBn3K+ac13IMKsoOsnpFlBln/QEPaT7RGXmyajKEfXFJZqJlnJfFfj5Lip7MnUeQDLfAfkuDpbFOL+MZp+9Nwzq+SePNfD8CSJy2eRBD0NeJolfLNrA56oFOKTxBnRPcMZHhMfd1L6ONqih73XyW0kRZF/rknlYQT2tGvCyWvqevHPEeZZ5Sgr4cXVxjz6d1Z1mjWlzbW5UcrBNKrsxlwDW1e40LK4O0n44kaTcZITphU5EELQslWmWcFq3ZpXr4ZRzpW2xZJr0otyVho2oyhn0VR593CKRskPt0dsDQJeWHb4zt0hFxoWElUs6wvLDv04pxdkXGhabI8DLrZtVhsODVPn+bUGRSkhRAmlYLMfsuJqlJKEEBKyJCFTsjkIkZA59EK6XsiCo/Cz7RFNU6PuaPipoBQlbUfn3iih42q0HRNJkrnYtvnJzpRFR+H2KOFy06JuG3RqFj/YmtKxVfp+Rs/PSEoZx9B4Zc3i6LgRTNNUDAS5pBGlBYqm0/fDKvzAj1FVjRu9GD+KuNbWuTcI0CSFaQqWJMiTFFuXkWWJAy/F1FUuthyGqcz5lkMpqVi6QpAUtC2NMC9ZqZvkkoKrywSi5E4/omWrQMnmMObz55uoinbsDysxTQv+lxeXuTUWXF2qVbG/mkrDUAnjHJELnl800GSJrWFEP4jouAZHYYprKNw88jjf1NifxhxOAnSlJExS3j2csD/y2B0GlCLnjf2AjbqBpWvsTVOmUUHH0XjrcEqa5fhZzihMeWm1zr1RyktrTcZRzlpN53bfZxpVUbvjOEcCMiRGUY4fZ2iAH2UcTWN+tjtGAm4PA652HN47qlL7Ftyq2tu2NDYaxpyQelE2b57MSmjaFWEG2KgbvNMLuNCyqJnasb1YFQhRFB9UcGf+uveG4VxjG+fiPqIaHzs7nJQlnNTtftR881E6/Q+byx5njvuoueoMD8fTrIE+eW1PInDk0yD1ZxrdUzjT6J7hUXBaV/dJvNfJzx9FX3vyGmfa2ZmmD7jvHLMt1Jn114MejqfPsz2O7mu2CZKcw2nENM5YqZvzqu/sYR6kObvThCVbYRoLZKU610tLLuNj/ePsmnp+iq0rxGnKjW5lMxWlBaM4R5VKoqxgrWbw490JXznfZmcS4hoaJTDwYkxdYa1m8u3bfb603mSaFYzDFEMu2ZlELLsGXlJw5MW4uoqfCeqGghfl+GmCLMs4mkI3LOiYCr0wJUoyXllvcbMfoCtgaiqv7wx5bqXBKIzoOCYDvyJx37szYsWEaV7SMDVyWaWuFGiajhCCGz2fvMi52qmRCmhbGl5a0PczztUkNkcZcZYiKTIKJX4qcHUFQ1UohEKQxbTUEsNxKZBp6DI9L8ZLYhRJoeHYNDRBLyiRypQjP6dTs/nCqsOPtkdoUklRwoWOy9EkYrVdp+3I3DyKyPPkuLos07QNdkc+5xomhaJjKYI4BUWFln3svdu0+P5ml5WailBMVKoUMtesdLyuJhFmAr3MmAqFjZZLTSspkfDiAiQJWy7YHGcsuiqqrBIlCaOo4HLHJcxyOo7BKMq41DLYHPgoioKrqXhpznrdwtRU7g5D/sm1JRZqBnVd5q1Dn7alMA5SFK3yz43SHE1WaB5LExZdk0IItvo+qgqFkHhmscZ37vT5n59Z5PbxAu3eMCTMCp5frs3HyzRO2Z0kXG1ZxELcp8sthKDvp7QslaysEgJbpsYozlium3O5wyw2uGNrDySlJ7eMt8cRlzrOPGb4cXoDPmyeetD3Tr7v40qzPs5cdYbPDp7E3/RJPTfPNLpnOMMvEQ/a9v9lvtfpzx9lkjmp3Zs9RE/bEZ08hyLLxHk51+WergKfPs/MQWH2cHYMlZqpsVI35ylrQXrspRtlhFnBRsNgmghGSeWuoEklbx5O51u+7x15TOPKR7cfpNzph6zXdf5us88oznlltc6ya1K3DLanKf/Ts0u8vj9h0TUZhillUSKk6mf5zp0BLy07bA49DicBIz/i+qFHlBakokSSJZqWzvvdKQhBzVRpOBot2yLOYaVREZJuGNGwNK4u1I4r2jZxlnP9cMq5usrrO2OKAnaGMUGS8LOdKVfqcBBL6KpKzToOFCglBDKjqEpYc9VKy+onKeM4o5Rl2qbg5ijDyzJqusrQLwhSQZlDLkpiIWEoAkuCAA1b15CzlCTL6AcxcQJlWdA0ZcKi8s49DHJKAWt1lZ/sTrm6YJOWYBo6h9OEc50aSZoy9FJqhsTto5Q4K7A0lUGY87nlGomkcbGhMwlThAwjP6U3jVm0FfanEaYmk6MRZzmmqpKXEpIks+AoRGlJ01Y5SGQuNnXSNKXlWDRsi8sLlRvC7VHCal0nDBNyUXDg58fXWRHuJM/5wkadQVRSSjJyKaNrKouOiaIobA4CLjR1Xt8b8eb+hKMgo26qjIOUPT9jHGWEqUBVFMKiYBxkLLlVIl5SlCw2LJAULi3UeK/n8y+eW+Yv3jngixtN3j3yKEVGkmbcG4aVI4KfQAm2ppDBnOTOdLVxXrLg6vNwiQstm4Mg5ULLBiqrMlM51uG6BpyQNZyeTxxD5UbXZ71mcHcQzOO2H4fkflgQzMNsqR7nPR52rqe5UnmGj4cn8Tf9pO+HM6J7hjN8TPyyJvFHIc6P+oA7ffxpn9zZcTOrovNNi+1xleo088mdyRkeZRW+VKsquY6uzn1HB2HKkmuw6FSJZ66pcbllsTeJCLOCtq3j6ArvD0JapsYgSNkeRazWNGq2wd1RwpKjcONwzM1+QFyUXG1bXO3YfPfekKsLFtcPJqR5zoEf46gKlPDSissgzChKiSwX6JqMa+qca1nc6oa0TIW398eYukQvjBlHBYYq46cZa3Wdt/Z92qZMWZRoskzL1llrWnS9lEmU8/nVBrfHBS+u2AzCjJ2RT5KXdBwVr9BomQptR2dnGGEpBdMkx1TAMXSajsFis9ruR5IoS0FZwiQFU5b43ILFvXHG5bZRxctaMpmAhpITFWBbJks1C1dXkGSJ2/0A65gohQWkAjRZQlckWpZKy9XYHiX8s+c6bA5TXF1FLXMMXWZ3HBClMf0o41Z3yrUFmbiAAy9io6Fz6Od8frVGjoxlGtR1hcW6iSaXTI9J7KJrcOjFXGvrvNv1MDQFVy3ZGcUICrqTmK+cb/DWUcTL63UOvQRFKgjTnHcOx2zUDW73AiYZ9KcxVxYMJnGOreromooo4XY/Yrmu46oSBUWVYqYpeHHGC6sut/sB/SDGlAV/+34PP0q5N4mJkoS94ZSkqAJFmrqGbar89fsD8qzA1SBOC5qmyvYwYNVV+eZb+7yy4vK9uwOeXXTYHCbULR1TlTicVo4hN3s+rioRpMV942jmLa3IMivHkpxBlPHqeoNBlM0XijPPW8dQ52EQJ0npyUa155bcym/XNX5uG/mj5ozT89RHLdAftFX9i+CM5J4BPl0Jy6cmXfjGN77B5uYmr732GsPhkK997Wv82Z/92QOP/fa3v823vvUtrly5wng8BuDf/tt/+wsf+yCcSRfO8GniF9kWOklEu158n/XQR73mpDXRSXkDUKU/FeLnZA83utWWtqLIc+ukky4OMx3vTD88q0bFuZg3pA2CFFmuOtk1CXanMY5WOToMwpTPr9Z5+8jnnb1xFWygaPzWxTZxXhKmBdujgFwI0rSgF8Qs120apoqqqohCMIxSllyN797u03ZMzrdt7g18lhyVN/Z9LncsvnO7zwsrdXJRIkTJkRdhqjKaoqJrCqMg4cpiHT9JCZKCOEsIk4JuWPDbF9v8dHtEnBfI5HS9nH/50jr/7f0+52sym8OIBUcnKxXW6hqiBERJkBSEhWAaRoyjgo2mg2NqUGRIqo6X5tQ1ha4f07INxmH1+7o7rHx9k6JAk2V0XSOKIkpZoygybh5lnGuBpem4usIwEbRNiWFU/X2EgKatMg1SjpKcq00LWVXZG0fIEpgKx69RUUXKli+40jJxbZMwSWloCoMUlusGaZrRdgwMTeXm4RhZKtkcRVxpWkS54Opyg/W6yRt7Ey4tWOyNE/7J1Q7fuzfhH17tcKfnc+ilXG5bvHnoYcslUVpwftFBVVQudRwGfswozBgGMS+vtYgLwdBPSYqcZ5bq9LyYSwsOeSmjyqAhcaPn8/yKQ5yVWLrKzjhCk2C95XCxbXNv4HFnEPGlcy5dP+dcu0bH1tHksoofjjNss7I0E0LiyqKLqUrcHcV85XzrOMpamTdTLtfNnxsz8/F1wlLsRtfnuSWXQZjOx/jMGeG0TdjJsTcbX8ADx/TjSplO//8Mnz4+S3+Pj7rfHiaF+WVIWB6Vr30qRPeP//iP+aM/+iMuX74MwHg85vd///f56U9/yt27d2k2m/Njv/nNb/If/sN/4C//8i/nX/v2t7/Nn/3Zn/Gtb33rvvM+zrEPwxnRPcOnjY8z6Z2cSIC5lvZRGlFOV3uAnyOsMw3u7MHd9RM0uSTJS2RZRpNAkSsPUfP4wawoH2wYzR72J/W8XT/hbs9ntVF1xxuqxP40Yb1uEKQFUVZUlk15TlKU3Dia8pXzHcZJhmNoVbSryHjnMMBSZaSyICwkFuzKgzfKCtqWwX+/ecTljkGSS1xoW+xNU3QFpnFOWsDnVxz+x+0BEoJSAgR0g5QLTYNukBHEKXXHpK0rjNOMLIetccQrqzY/3QtYMGXinCpStmPTDwVtA/a9DFWVWa/rLLsWk6RgvWby450hVxccfrY3pUhjVFVhybUQZUlelmSFhCyXVbd/CeMwY7lpcrcfsOEq9OKSJM+xJUGpmFi6xFKtqoiGcYbgWB8rUuq6yjAD8hxdBduwCNMUATR0CT8tMQ2DwTTET6FjQyjgUttlaxSwYmt4GchlScfV2RwGfGmjwd1+iJ/lXF6sESYFRVFy4IXUNYlxXPLsksNKy8ExdKIwIkPhQtviziDk964s8MOdEYeTiM8tO+yMU0RZuWQs1AxsvfJeVhWFVUfltb0JG00Tgcxq3eT6/gRTk0iFzG9s1NmZxDy/2iDNciZJzjTOmMZ5Ff+syIiyZBylvLjSpFMz2RsF1E2V24OI37nUoaQKIpFluZLM+CmuqXGr5/PKssMbRwGqVHK147A1SfjqxTbb42ju67xStz4YU+kHY8qLM9qWRnb8hD3pJ304ibCNKmFttosyC444PZahSlGbBUw8LEVtNm4fZax/lojVrzo+izrmh90/H/az/DLuuadWo/vNb36TP/iDP5iTXIBms8lf/uVfzgnvDOPxmH/zb/4N//7f//v7zvG1r32N4XDIN77xjY917BnO8DTj40wGp7cbP6rbeoYHbWkCc8nC4SSiKMScmGrS7KGroMgyNVPD0RWS48rTbJs2zAqKQjCNs7l/6OwhPzs3QNvROPIzbF0hTAsWrUqbe7vvk2U5wzAlywsOJhH/6NICP9weMokSvCghAw68nEVLRVMkgrxkydU58lNGUUopBD/aHvK7l1oMQoGqKuxO4oo8bY+wVbBUeH8Y8/xyFTShKyod18DVZJAUpnFOWRTIJez6GQoyrqlxqaXx072AVUvmYJogAUt1i4GfUoqct3cHTJOcL646iFIGSaJlKLy+P+aLGzV+vD3m2bbGNJNZcivN7IKjMYoFY2/KjYMR4yjjTtcnyRLu9Ce8slZnkCpsNC3Wmw6DDGqWxDjK8JOCElAAXdeoaxALmUFWvW8mSwQJBFnBesPB1AxK2UBRNCxVQpYhK2EYQUuF6wc+lzt1RnFGLgpqpsTmMGDZVPnJ3gSFkrQoeX17St1Q8JMcW1UIBVxcqBELhTDKCJIUIUtomoqta/yTa0u8ceAhCsGSq3OzFyOVoFMAElGcEyYZ290hSZLy032P//3z52jYJl++0GEa50RpUnkO2zIHQca1BYeDSZXSp6tV3LQswdivktMUudpViPKCtChZbzloqspXL3WIi5Igzkmzyips5rLQsTR+51KHm8OYL6w3eH6lztYk4ZXVOtvjCCEE26NontoXpB+kAc6CT2xdYZwUOPoHnrdLNZMgzbENhTApMBWJG13/vhhtx7g/evu+sXrKnmxuLZh+IJv4qPnhabay+izgSf/ePmkd85O4/odd64f9LJ8mif/Eie5PfvITXn311Z/7erPZ5A//8A/59re/PZcc/MVf/AWXL1++r8I7wx/8wR/w53/+5/PPH+fYM5zhVxEP0t/Cz1uKzT5OG8mf9M2tqk8VAUX6oKls30vnGtzZv15UHTcjsaYqUQJxUbJat+b+oaYic6fvM40zgiSnH1SVs7ZdaR8VuYpaHcc5RZ5zMImIswIvKfjN823eOvL40rkGvWnK9jhACEHdVNE0iUMv4WLbYRJmrLg607iqAr+4XOMwzFmpmyy7KlEieK8f8ur5Bm8d+CzXqgjdnUnG5QWX9aaFn5a4pkI/SGnZKgkKkyjDkAoOphF9P0EuZa4tuGimwYKrsday6Ac551oW07hgksJ6Teen+yFrDRtJglGc8vn1Oj/d9Xllo8Zr+yEX6go74wi5zLjRj1g8DiOwFBlVkujUdVLAUAzuDSPONTXGYcbOuPJ7vd2LcCTB/iTClEpyBUxZsB+klLlAFhlelKCJqklPLXNu9KZcaGhM4oRFW2YQ5gQ5LOjQdHW6MVxsqOyNA5q2Tds26AUZtqbSjXI2ajbjHHQJLrVNbvVCWraGJpc0j+NxVbnkYOqzM4oJEkHTkBmGKT/ZnXClUy3AorRk0VYpKAmFgiJJXFuu48UZummyPQ5YdRX+87uHtG2VnaGHFyVIssStfoihyLi6wp4Xs+DoTFPB1QWXSVyQ5OBaCrKisFiziJKcUgi60xAhBJaqECQZPT8mEYI3Dz2yPGdrFFE3dXYmMfeGIS8tuXhRRpyXNE2VrVFIP0h5Y2dEy1SJ86pcOwuaGEb5PMVvexTNnURONnZWFa+yCqKgirk+6XU7886dkdZZhPbsfR5kLbhUM+duKB+mvT05zj8r1cOnCb+sRcLDqqOPcj2Pgyd9/Q86z9N4X33iRPcb3/gGX//61x/4vS9+8YsA/PSnPwXgL//yL2m32w889vLly7z22mtzUvw4x57hDL8umNuGnWhumcaVD+jDHnYz67BLHYe6pVM3dZZq5lxjGKT5icpVjqFJ9z3wg7RAAkxFAphbKf3VjSN0VUIC3jr0uNQwKn9ct0o0K4So4mqnEV6Ssz1N2Gjo2JrKnpfwhdUGg6jgynKN9bpFmBUsWDpJIXOhabE5CHlhtc7uNGHkpdiGRjdMaFoajibx2s4U26h8ckUh8btXOnz3zoDXdwYEScLeJMVWZVRJ4EUZklSCEMiUuJbC7iQhywt0VWJnkqApJa6u4egGN3sBK3bBj7cnFKLA0ODdwzF1VXB9f8ThJCQTJT/ZmZAXGe/sTXlhxeXAL0jzgt1Jjlak3O356IpEp+HQtHVUpQqu8OOEIEu5eegx8EOiuCBOwNElNMtio+UQCdAVidWmgyWDZcg8u9rGdVxaNYsLHZu0lGhoMm8cBbgqvHEQsuyqUFaSBcqCKy2DfpxjyiVhFCNLYKgaTUPCMTSSJKGlK7iGRj/MeG7RJCslbMOk66es1zXSokTTDdqmSpQVdKcJXS8kimP+9vaIrBAUZUmSC8I4ZejFnGsa/Hh7wvPLDfJS4kLb5Y2dMWEas90PePfIp5RgGBb81rrLdzeHtGydRccgyQV+kvHG7oAsz8iKnL1xRJEXvLU34eVVl+tHIcuuwZGXICsywyAlSVN+tjNCLgV/d6fPMIj43t0BEgVZVvDjvQkA/SBFk+DeKKA7DWnaCnfHMZc6znEFNgOgYchVtXcYsVKrvHNnvrsz39yq+iphHscFn9x9mVVpvSSbk92Zl+6sKjw7Driv6ns6Ke3D8DSSkc8CPqlFwqMQ0o9DWp/k9X+WdgY+caL7pS996aHfmxHRGWH96U9/ep/E4SRmX79z585jH3uGM/xa4YQK/+T252ld7kxDNQir9KeuF88fpF0v5lrH5kbXr4hrlmMeV6QUSWbJNaoKkyyzWrcqH9pjgns4ifju7S4bNZV3Dz3ivOSFJZfv3htyoVV1p9dNjUVHJy1KFmo6JRK/fbFNPyw437ExZImjIGKtZnCx7ZCXErZW6XpNTWESV/687x15jKOMc22VH9wdsuJq3DryuNUL6LgqW8OQCw2DTq2qRDqS4Ht3+uyPfaZxiqpIZAKyUubaYoO2bVY/FzKrNQPXMChFiSpDGGWMw5SOK9EwFA6Dkisdm0kUo8sKy00Xv5CIspxJVHA4iblzOOLO0RQ/TtgZJ7RMmZot48Upt8YxhcjoBwVDP6PtVg1SQsjoGlBK6CqUkoIkgW7AUs1BlyEvBIZSYskSe5OUhUaNK4t10rzELBOyvERTdWQkticCL8i5M8jp2HD9KKBpgpChaSgcBjlLjokiSeSSTJrDakND03QWahaFpFCIgoMg42rb5PUDn46tIKsqn1+yuTGI+I3zLWqqgpcVrNQN4ryg5+VsDgLiNGaa5AyjlJ6fIKiqmrf6IY5a8ON7PRq6zN4kRlcV4jTjzYMpllJiqgrPrTTY9zN+41yDzb7P9jjm9iCgriuIEhzNQFUU2pbO7jTiyxt1bgxS/uVLK7x9OGXR1jAUCcfUGEQ5piyRlbDmmuyMIgxFwksEf789ZNnROPJihBD4ecmFlsNS3cY1TTYaldzggybLEl1TWalbXFpw8FNoW+pcWjAbV8Ow8qquxkdxXxXWMVTqll6FT1j6fZKHGR6WhHhyTD9pfBTh+nXCJ7FIeBRC+nFJ65O6/o96/6fpvvjEie63vvWthzaGbW5uAsylDePx+IFShJOYkdfHOfYMZ/h1wWx7E6qKkqOr96WozSpIs6SmIMnncaQnH8BLNZP3B+G8ols39coeSVfnNkknMfPOBbANhXNNh6Ow4JWNFouuzu1BwOeWHI4mlV53dp4LbYemafDiWhPX0PjK+RbJsSdpISpyG6YFS47O3iRiz0t4ZtGl7doYus7lBZd//twyW2PBv3p5lbujmI6j0bFVtscpX7nU4cBL6Qcpr6436EcFzy46eEnJesPgu3eG5FmCKnKiNGd7EmNIAiRougZXFh1qlk7L1gkLiVfPN9mdCP7V59dxTYODacKllguySlOX0RUZR5PJRElSlLi6im2Z6JrOesPAtU2mIchSgVHA7X6OCuR5wnv7HlkuEEDTMrEMA0tVEWWBrYMQMPR9joKU7YFHUioMfUFNl4hDn/1xQilyDqIML47ZHkxIReWpm2ZQypCVEroCSQGqBH0vpW1rpEJikhbUFJjEIVvDhIGfoJQCmYKdSY4jw9/eCVgyYX+cUoqCm6OUV1frvHPoIWQZuSzYGVVVzByBVBTYpkmUlpWXsKlSN03aNYuLCzUcXWOSCLykQJJKGrZKUUpcajkUpUQvyPjSRpOX1jtMU0Gc5YRxTJ5lfP/eiGcW6zimypfONdE0hZdXG5iGxisbTQ68hJdXGmxPYhRZpm3reFHOSkNjqWax0XG40LKp6TI/3h7xjy83eX1vQipK6sdaXFOV2KgbJEXJ0I9452DCJEx4bW/CtY49txorCsGiq4ME4fFuhaOrbI8j1mrHCWiFmAeunJYdLdXMBzaNnZQrfFL4sMrdZ6mq91nDZ6Ey/1HNjyf92D9NPFU+ut/4xjf4wz/8w0c6dkZqh8PhEz12hul0et9HkiSP/NoznOGj8CQ1Ug8718kqEXBfs9r8mDQHiXlHN3xAiE83qj235LI9juZRpXC/8f3cc/e4emUqEqYqsztJON+yuNY5tmnqB3Tsymlh+TiU4d4wxFRkutOYBbc6vyzLDKKMc02TEjjXskACW1cYxRmaVKJRsjUMsDWFlq2zYOt0g4yvP7cEJQSpwNIVun7OP77U5EdbE4qywA9ivrPZ5x8+s0TNtnh5rXHcDKewO81ZbjkEmeBqx+QoFBQCXE3HtXSKorIh69gKf3Ozy7MLFn/xxgE6GaXI2R5HLLg6QpRM45wciUkYY6mAWmlYsyzlvYMxUZIhIVAlhVyFKwsmpQS2aeLqEt0wwZQE/SChZlSVX0FVZW1YJmEB9/oZfgLTKGWtYzKOU3yhcaltcDDNaJsGAA1DxzEMdB0sG+oqhEmJCsQZNAwJVJk4E3QnEbJcMkgroj32q4CPcZTiWjZfvtAgBZ5blLg3pnI4UMFWpCpFLstJ0pRKxFJWVmd+gmnquJrMal1nkkLPqyQgPT9BlkomccGFpsnBNEZXSuqWxW+eX6AA0gJ0ueT/d+OALM9x1KohMswr398VV2Nz4LNga2yPouMFkMkkzrnWMhkEMX+z2aemyWyPAm73fVbrOlujlKsLLhfbDk3HpB8V/H9e3eBv7034588tc6HtMDkmsIokM4xyDEXCONaG+2nGgqOz5yXVToifYKoyPT+dN2zOxpqjKwyPZQ73Nag9hEQ+qHI7G5Mf1nz2YXjcueejGozO9L5neNA9evJ58rCwksdFkiQ/x80eBU8N0f3jP/5jLl++/FAv3U8a586do9FozD/+9E//9NO+pDP8iuBJVUFm1dhpnP7cuU6vqE83ns2OOe3L+TCz+JmkYZaGNvu+IsvExQcTWs9P5pKGMCu42Qu42rZ469DDMhTe74fUDZlCVBWvpZrJzriSRfzNZh9FKXnn0CMrcu4OPIQQDMIMRZaRj6tYYVqwWre52K4xiAv8JCPNc8I4482DCXJZUArB390dQpHRnaS4psoPtsZ8cb2OHxXcGQZcallsj2JeXHa5tOAQ5hKyVHJt0aZhmzy3ZDOKBUu2ihA5kyjk+sGYhiETFbDZD2nbKj/ZHtE0ZKKiSj5bbdq0LJWtUUSWpQyDnIatMoxL0iQmjgq6YYaqyGz2PYoiJyoK2raJJGLatkZWlKiKzLmGTS5pOKrE4TQkLiBNBboGCgVFBgsOJDks2BrDOKejS6hywRsHE9pWiWXotBybSZKQC4krLRWRQz8EkUMioGHrdKclCiXDKCXNYRqALEuoksJSQyXMQFNkVmoG6+0aX1pvgWTwW5dqCEkmSUvWGiYH04wszRkGOWsNi/Mdm30v42LbomHqlJLEJMrIhWDJ0dkeRYRxzFbPQ1AtyNq2SpYL1hsWpqGgKSUH04C9SUCcpGwNQ+4Opwz9GImquezIiwnTnDgrKEpBWpTEWcGFhsnfbY2ggJYp8d7RlHcOxpRFyfY45lzD5HAacn1/TJ4VLDsaf7PZ5188t8yNnl/d27LM2I/YnlS2YudbFpKssdaw6FjVwuxSx5mPkbePfNZqOofTD4ioF2fcHQSUUjVWrh9MH+iCcN9YLpl76AJzYjsbjw9qPnvSus7Z+32c7/0ieBoqgWf4aDzsnjrpAPSoYSUfhT/90z+9j5edO3fukV73VBDd1157jW984xt861vf+kj5wQyn9bxP6tgZdnZ2mEwm848/+ZM/eeTXnuEMH4YnVQWZJyppH15pedj7nbQhu0+68JAO4NlD9bS2d1bhnSVBVQb3BYYiYygSbx5MOd/Q2R4GGIqEn8Nas4pCvTsIONc0efPQY8nW2RtH6IrEKMqJ4pydccTWICDLcvwo492jKaMgwk8yBlHKhYaJEII7gwhJkRmFCXEq2B7HrDZ0ekHCUZjQMVXqlso7Rx6upbLecHmv69E2VW71QvxU8FsXmkiSwuWOi6kqxFlOwzA4v9DANQ28VNCyVLpBhi6XSCXcGcbUzKr5qm5pXOw4XOzYTJMS29TI0gzHUDAUFUWWqNsmpiMhCRgnBbYuc3eYU4pKi5uigMhRJVHpRw2dpbqBrmoMooJRAIYKAgXLNNioK1iGympDxtI1ajJ4QqPIC3RFpSgVjvyUYRAhC/DimD0vx1BBKkEokGUwTVIsHfyoxM/AVCESQJ5jypCVKhtNjUEYM/IjplFCXgpWWya7o5iNWuWecG+csOgobPViHFNlZ5ywP/KpaZVHciZAiIIoy1m2VaY5/MaFDqWsUEpQFCUtS0VVVBRFoecn3O5FJLngQtMiySQ0Vadm6ciyTHKsl96ZRJRlianJ3BxEbDQMun7Cnb5PN4h5brGGosogK+QoXG5ZdMOUS00bLxNM4hxDkRklGeM453LL5vv3hqw4OjvjiGlWYOoKEtWOgiLLXGhZfH6lRi8quNRx5mPk7iDgctPix7sTzjVMgrQgzkuCtGDF0RlFOTd7AZeb5pzsPsj6yzFUBlE2H3ddL6Z5rJcH7mtOOzlOHzX17GnGmSTis4MH3VMn/26nCya/yP33J3/yJ/fxsp2dnUd63SMT3a9//etIkvSxPj7K7eD3f//3+eu//uuHNpN9GqjX6/d9GIbxaV/SGX6F8KQeNEs184Ea2dPv8VGJSaYi36cVfNDqfNY9PnvozqrEJwm1Y1RhEuebFgd+ysW2zaJrIlCIi2qbvG2p9PyUNCs4mIRsDUNsTaHtauiKypW2wzDMWGmZHEwilmsam8OQUZJzrm5zbxSy2fdZqxv8eHdMlpc8u2Tz1t6ES22T9wfBcdd9jKlp1HSFzVFMkgvkUjAKU0pJ0DFV3jkcMfRDru9PuH7gkZcSbx74qMB/eeeIJK88cl1doWObmJrK9iRBU2RKBCoFh15CnCZEWYkmw94opm1K2FJJWMp03MoarGNAN8gxZRXLkFEQjMIC14AwAy+JWW9YeEVJnOeoZcq9/hRNURhECXlcWXoN4oosjsKYTNJYtDVqhsqBFyIrEl4SkwuI0oyunyAXCVlRchiBpYCtq8gK1G2QJZBluNBy0HWFSMCCDOMUDBn2JhCXEitu5SxwoelSSJXEZBymHI0jLrZsukGOIUtc7Zikhcz5ZYtCgERJmICfFzSP08YkuSLl3ajgSlvH0FReXGkiIbPR0smRqOkKWz2fw7HHVm/MZi/g0EupWTK2WtL3Qp5ddJnEOeM440LLZLPvc/uoaoz77uaIUZCy4qq8exTw7tEUV5dxNYX1hs4gylipGQipZMFWKYuScZLRsXQsTWEQpZxrmnz/3oBFW6ncQIKMZxfd+/SxP9wZ89WLbe4OAhxDncdnh3nOyys19r2ZhEdipW7i5yXPLjo8u+Dwk/0ppirdt3icjbMgrXZiTmp4l2ome15yn5cu3C9heNQmpqcdn6VGpzP8vJ3lRy22Pi4Mw/g5bvYoeGSi+61vfYuyLD/Wx4dVab/+9a/z53/+5w/01r18+fJDG8hmetsZOX6cY89whieJjzvpPqnJ+uNOHPMJKc0Jsnz+AH2QNnBuTRalTON0nnIGH2ytdr2Yu4OApqFwo+vz6nqDm72Aax2bMCtYqxl0jyN/27bK9a6PrSlQVk0+uZA433bY82JeXK7R8zO+eK7JrX7E5Y5NXVPYmkToskTbVPkPr+9xtWXSCzPuDmP+4ZUOO5OMcy2L3VHIOEzYGUcEUcrID1CR8NOc802bmmVQd0xMw8BLCvZHHj+51+PtvQHb/RF/8cYWQZrw+s4YXZORJchLeHd/ypfXTO6MEuq2iWUaiFzgpyVxmrE7iVh2VBIBwxQuNDVuH05RpZzv353QMiX8JKMEDFVho2WzVDOQJGhoMu/3Qy41DEo04lLlgiuT5IKNdp1GXcJwwNWgP4ZplFdSg7jgyEvJU9jsZizZGuMYakaV3FUikeawYMEkhiTPKQT4MXghNC3YGwfUdZ0Xlm1GBTQsSBOomzCOcrp+zPPLDRRVJROCSZhyexhRt2RiIdGwNS4v1whzibWmycWmTZDkyKUgK3KudFwyUbLg6Ly77yEjMFW4deQxSXIWajoXF2zSonLR0DWFZ5YbDOOSuq1hahKaoiBLEmEu8S9eWOGtw4BrHYuarvLW/pQFV2cQxryzP8VRJVxDYXOYkhc5mizohzmGpmLrKouuxcurDWqWQZAKDF2e70yEWcHSsbb3+ZU6t/oRTVNl0dF4fxASpAWbXZ+39sdcaBj8l3cPaRoK1w+mZMeNZ5paNY1dbNuEaUF4rPF9YbWOIsvsTGLW6wYq0PWTnxtn2vHXT1uPdSztvrH5IAnDycXqZ5kQPkqj0xmeHpy8/562XYNPVbrwR3/0R/zxH/8xX/va1x74/VdfffWh1eAZqZ0R5Mc59gxneFL4uJPuJzFZP1Dzd+J78wlJV3E09T4t4EwbePq1s47vmT3SNKr8Ra8fTNGkqjltGGYsulXc6bOLDu8PQjYaBnuTiCsLNrd6PofTGJUSRZLZ9xO8OGNrFNDQFcZBSlIIzrUcFEnmxeUaN7oBgyihYarIksy+n/LKap3/+70j1ms65xoGmz2fCy2brCgZhymKVNKyVW4OQi52HEpZ5ksbbW4PQlYcFVOtdK2mqtBxTVxTpyglVhoWuqahSxKdms7WMCLOC3QF1hsmf3t3yoYrcTBNSNIcS4OoqMISaoaKUCo7sq9cdDnwBOdaFpMEXlx1OAwyJAlUZNI8Q1cULiw4rNUNhnHOqqszClMuLli8uNokli1qukyapNhKiSFAkkAAmgL9IEEvMyYB+BG0azBMStbqKqOkxDFkjqIS1wRVltA1iDJIokqaIANHAWglxFnEMMpYras0TZlOS0ZWYd3VkcqcnUmCn+bEcczNo4Q4gv1pRlYU6DK834vQJYEQOXdHMY5esjdNaDomqqKwXDO5fuRxpWUwjAVZWpCVMlmWcuPIp65r3B2E1HWJw2lM09L57UstNgcxS3UDP8s417BoWTo3exFfOtdgZxiyP024umATZYK2Y6IokBTVfb3RNGlZKgfTlJapcaFtE6cFqiIxjHPKQnCuaWJpCpIsc2fgU9dl7gxDVmoGoyDjhZUaR0HGoZdQ1xTe2BmRlwVZUbI1SbjQNLnVD6pwFblk4FfJgR1br0hs1Y83TxgM0pxrHZs4LxGyPI/+Bea693FacL5pcRqz8Xffbo3+QdDLbGzPCPPJ4IlfFTyNROppwuM8U57E8+dkH8jpxdbTgk+N6P67f/fv+P3f//2fI7l37tzh29/+NlBVex9Wpd3c3LzvtY9z7BnO8KTwi3gZntTl/aJ4WDPaSe3t6e/NyO5M63tSgxsXAlOV5w/nk5hVvoI0p27pZGVVqcpKWK1bxEX5gTNDCYuuTpyXfH6twd1RzPmGzr1hyFrdYN9POF/XeedgwrKt89ebPV7daDCJczYaBreHIdMkw1YldkcBr++OMBSJpqVxFCb89sUm9yYJhq6j6wpemKArEpqqME0hSwv+ydUOQQobTYs9P+F3LzX5wfaYSSzQVYV2TUfXFJ5bdvnS+TaqovPb5xss1S3itESVcnp+ghfnNJwqoGAYQ56n5EWJZRp85WKb3WlK18/YHUW8uFZjfyr4vasLpKXE55Yspim4Kqy5OkEh6Lg2tlIyPr4O16ia0CTVQkbC0SRMTWJvGKBJUDNt6q6Joko0bTBUCUmGUtawLGg3wDZ0HEkwjnMGU7g1EDgSDHwQJcfVc0gBu/qUhgVRDl0fclGgSDKTUDDyBS0DhmmBohgcjGMGI5+tSYEqg65BKQSTKONeb4pESc9L8FLBNI7oT1KKssSPQ3ZGPv0gYcHRGKYFSzWDxZpFWcLmIMCLE757Z8jziwbf35ry4mqdm32fv7875GpH42c7HpdaFm8fBqzXNW4dTbh+MOUoyOg4Gn4ieGa5iamprNZNmpaOJEtstBziAjRVoW6p9IKMKK+aFfcnEQ1TI8hhpW4TZwWmCj/aHvG5JYd7g5C1psnuOEKVShqGymv7I55bdLndD1mtVXI2P87Zm0QsuQaZkHhmoSKugzCtpAlpMU9Bg4qYzqz6ltz7JXEzna+jK/fNKyelQrM5o+vF8693/YSmoXJ3EMyPU45dSz4sLe1x5pSnCU8bkXpa8DgFlCdRbDnZ6Pw0Lz4+FaL7zW9+k1dfffWB5PO1116bSwz+9b/+1wyHwwcS2G9+85v80R/90fzzxzn2DGd4kvi4g/tBHdcfhUf1sjzZaDbT+J3eWrrvWk7ZiS3VzKpye0L/62jq3GM3SPOqMcZP5vZIs4CIax2b7XGEo6vsTKoH8ZJrkJUSGw2LJC95ZqmOkBS+sN7gKMi4tlRnaxLx/3h+hRv9kPWGxQ/vDfniao1ukKGqCnkJ55s6h0FKKQTrDZtb/Zjfu9Tm+sGENC2QZZkfbo0xZAkhcmxDRcgqy3WTe70JUVrw3bsjLrcMZEmQZYIkyznXsBEoXGhbXGg7NBwDRdVYcjXuDUOyrCAXgmmYUzcVFFlh2dWpWzprDYMbRz55mrA/CAjCkLcOfL5yqU0vTNlomEySEtdQeXW9Tj+R2GjYjIKcoICaBuMgJs4yBl6CIZfc6024M4jwggRFlkjLqpIndK2nUAABAABJREFU8hyTElOHICtpqHAUpJgaSKJKMBOyiheBJlUT/DCByy0JFAVTgTiH5RrUanB+QWPZsbB0cHUwFZlJkjKOocxgzwNNLrnXS9Bl6Edga9BxIS5AkgRhEhMIqCsCw9S52Z1SN1RyCWqawiQG6//P3p81SZLd2Z3gT6/ui6nt5rt77EtmIpFAFlBAoaqAYlWTrJ4h2d0i7J55mJZ+nS9Afo155fOIjHQNKcJmd3MZFprVBAuFPZF7Rsbm4eG7u+2m+zoP6ubpERmRGblEIgD4EUmJdHNVNXMzu1fP/d/zP0dT8cOYrq0z8DNMqSQpwNUlpkHCYBawXFO4NUj5wZUm/+HWIVc7BkVZ8u6+x8uLDtM4RZQ5//HDI1SpYGsQ4Cgltw9n5GXGwEtoWQp9L8PRZWZxxt3jGZOg8hO+czzj1mHV9HhvECBLJb/eG9PQlROtbMqxl9BzdDZHEYuuzpF/4gWtyMzSgj/e6PBwFnO95xAmOU1DYd+LuNay+NXOmK6jMU7yU7nBsZdgyFU88DxKexoltMxHNe9nx+3DcVhZ9p2p0J7V0PtxdY0kzZiF6anTwzjOHnFFAZ7o0/us88zzjoo9x5ePJ83tn3bsFyGnT3PpedEglWVZfvphXx7eeOMN/vk//+f803/6Tx95fC47+Ku/+it+9atfnT7+r/7Vv+Kv/uqv+Jf/8l8+8ti/+Bf/4mPBE5/l2KdhOp1Sr9eZTCbPLHQ+xzm+CB53Ovgk5wNDEU+cnJ52zjxCdK7jO1tFzosCWVQ31PkxZxOYHr/OXMM7fw0PhlVVahAk5CdbxVFe4Cc5PUdnGibkZcEwyFh0DQ6nEU1D5e7AZ61hnprpe1HKKM54ddHlvSOPV5dq/N29ARttk3uDkL+8scAHhzNMTeZu30MWgsstnXf2PV5bqvOv3zvgG0s2h37C1jDk5oLJj+4OkYClukHHtTmahtw5GGIYOt9eb3O377HoWuiKIMtT3tubst52KIuSuq3x5vaIRVdnfxwwCHJcXUYRBQ8nCTe7BrnQCOMMU5XozxIKqvcjLaBpqHx9rUWWVaETu7MEqcjRVJVJnNOyZIaDMQcJ9BwDS1cpioIwKzFluD8O0AtouyazOCVMM0xVwYszVAl0VUZXZFqWwa+2p3QdGPtgGdAyVYZ+SiHDaAoqIBuwUFPJ8owoKSnLyje368o4iiAoZGqaxCwpSfMUP8opUohlMARIAuSialpTNYWepXPr2KerQy5LeEnJtY5NmAuCOMLVJW4fJWy0LXQFGobCNM7RFYkHo4i1msIwzFlu2ORINA1BlMFyQwdJYmsQ8f94fZF/+dYRlzsWcZrRdEze2Z3wnQs2HxxEBEnOgmsSZxmLjsmBF5AVUDdlrnVd7g0iXluy+fnOlO+u13n3ICBMM757oc57hwGXmgZ3ByGuIbjUcbF1FVHmPBgF1DSFYZhxsWUw8FNco1qwff9SlyDNcQyVNM058JPqewxsj0MWncovd+6dO6+07oxDVhsm9olbQ14UUFYyhFmU0rX10wXl5sCnbVWLqwst61RaNB+rZxesR15M21Sf2ow6H7dPG9OfhqfNKZ/nOk+bt87x5eNFe7+/rO/Rk/CsfO0rJ7rNZvMTXRguXbp0mpA2xw9/+EP++q//msuXL5+e+8/+2T974vmf5dgn4ZzonuM3iU+bpJ6VFJ+91pzAPm4NlufFqWTh1pHHWv1RB4f58XNbo3GcPWJubyiCh+NqyzY/8bs1FAlbrWyRek5l8dS2VAZBSkOTeefIY8XVq1AFS8NPc8q8CnU49FO+vVLn57sTOqbMh8c+NxdqzJKCSy2Df/3OAf/gWo8oL9gcBvzZ5Q7/+t09rnZs7vc9ciQutyzePZjhJZWmVgANU2V/FvOrrSGvrdZJC0HLlLh35PFPv3mB/9eP7vLNFZuHwwDb0NgfR+hKSVZKaIqCTMEgzNFlibLIeTBO+B+/vc5m3+c4iLh3OKvicsuSooBFV8dUZR6OQvKiwLU0Bl5Mnmcs122SAvZnMQ21RFE1CmClpoOA7XFMkWVsjSJ0rXr9SQazsKq4FhKsNEwcQ2FrFNA1BYd+iiZLlAjyMocU0hPJyK2jhJdbMCxl6iJnN4Qsq6zFGhYgQdPQmYaV9ZciV965QVpiawqupnDsR6Q5mIbG5abG+/teZUWWQMPS0KWCXJJpGIJJkDNJUl5dqjMIMzRRUsoqi7aMH+bsTT36fkbLVFhwTVRZxk9z1hom0yijpMSQwTBMrnQsplFGkGRYmszNjsN/3hxyY7FOGMaEWc5KyyJMYWswZaGm0fcyRmHK//SHG/zHD4/5717u8W/e79O2ZJZcjb+5O+SPL3XYmQRIpYQi4Npinetdh76fMI4yVKlkqabz9oGHqyv0/YgbHYewlHhtyWUQpmwNfRq6ClJJTa/8i1frOsMgo2UpuEYl3XkwDKgbgjgtqZnqI+PnyItpaDLjpLInm4+zO4OAtYbBIEhpW+rHUtDOzg+ftCg+O0bP6oB/E3ieZOf3GZ/0+b8I7/fzJt0vLNF90XFOdM/xm8azTlKPTyJPOu/TiPCcyBpyFfZw9mY8vzZUW66PV4bm+sCzN+I8L9ieVAEQdwYBLy+5pw04W6OQ6x2bD45mKFLJLClYq5sMo4yiKKqGIIASdqaVTVNNk6mbGn+7OeClrsFPtz3+5FKLKCk4DhI0UbA5rMj2cr3apr137HO1Y7A9iclKwXpd44NDv6q+egnfudThR3ePublg8ZMHE/67Vzr8f986Yq1lMQpjXEXh9tGUC10bW9N5OJhSSoKxHzNLcq51NB5OS7633uSHd4/oWIJZJlApWHYtHk4isrxAIWMa5UhCJitKNFEwilK6hk4hy0zDkLplcqVlEOVVJVCXJd7ZmzKLYrwYXB3GISw0NPbGCe1aVRGUSuhZGreOE1wLdEWQJwXTFGQFOobE9rBkoQYBsOwYbE8j8hCiAjQF6raEo8okWUZUgFJCIoEowdYkFusOW0OfIC1wNEGSFKiaTMfS+GA/ZKkhYchqtRVfs0nihKajkhVgmwYaGZsDn5uLdUpJMIoKNBLGcYksZGqaTJhkmJrMOEppmhqH04gbXRNklWtdk59uTVhr6DQNg1GUcLVX2XtNw4TwRJojMZcE5OyNfa53DLamGX9xbYGDWSW5MFT4+cMZry2bvHMQsFbXyUuJBdfgteUmJRAmOX6cMksLDFXmctviYBqQFRKmKp+SxbwoOJxExEXJMEgwVJmv9RwOg4yuozGLUhbdqtJrKIJbR95pOMp83M13UR4nofOdk7lswZDFIxHe8/H4qXaBJ8ceeTErNf10kfpl4vGF84tArH6f8HlJ5Of9rD5LkeV5PN+TcE50PyfOie45fhswnwTO/vtFVs5Hs6iSH5x0fc+v6SfZ6c32SYbg0yg5rV6dPefYS7jathifHLc3CujYOunJ+VtDn7W6ycNJiKXKeHHKWt3iwE9Is4wS6FgaoyjjQquqdv1qe8hGw2IaZxgKfHgcYCoSUVZwqeOw6pr8aHPIlabOWwc+qw0NXZF5OAwI0pzjWcTltk1clLRtjZ9sDvlvvrbE+4cedVPlYBwgFIkgznE0GYTE/jQhjBLiLEMIgS4k7g0jvrni8Pa+z0oNjkKBa6jockmUQZxEpLnE/VHIlY5N3wswpJJpBouOwbEfE6UlXUclTHOW6jYbLRvKgu1pzGAakWQZTVunH2Ys16rQgTBOGYUJaQqqCooq09AVRuOYVK18b6cBuCZ4ObR1OA7AVMHRJUZBySQAWwNFgbW6hqkbPBhOWWtYbPYDeo5OXFTNWpOkwK7c35gk0DElNKVypsjL5MTmChoaBDn8wVqbNw+m3Og5JGnBLMlJoohpDku2StsxGQYJJTDwIhZcE1NTuH805nLXZRpldGyNWVrw928s8G/fO2LBglxSaFoahiJoWypNR2d3nJCmGQklNVVCSAJVkanrMn97f8Dltk3bNcgLsFUJL8m53Knx481jXl2qM4tz1lsWNV3F1lWapsI7exOGXsDeNOHPrvYoJIGrCeqWfuqiMPfJNRSJt/dn3OhYTOIcWQi6jkaeF8zilIZVNZn5SU7bVEHidEE4jZJHIrcfJ8Bzy79T3fwZ39xPI7iP+2DPF7LPg+SeJd4v0lb57xM+K4mcS9k+Dzl+vKjyPD/zZ73+s/K1FyIZ7RznOMen46xd2OMpZp+3sWBuDdOrGbim9oh10ZzkHvvxx44/ezM+8uJHrJOSNMfSZO4Mgo9usBLcH4fYmoyhSCw7Bu8ezlClku2Rj1RKHPgJuixRFNV28NY44vXVBrePPTRZwlQV6qZCw9K4P4zoWgrTuOCbK02KUmKaFvzZlSb3RyE/uNxGSIKtYUiQ5kRJTMtWee9gSsvS+Mn9IX+w6vDW3gzH0FhrmNQtFT/KeXWlga6qfLA/o62X+EmBpiisNi1ySWatofPhcUjLVhnFgroh4wUR+0OPrZEPpWB7FnG1rnDkZ2hCxi8VFhyTuJDpOAYbHbtqspNgGle65sNZzPEkQCEnKWEUVPpNS4WmpeHogjQHL4U8hwtNA0NR0GyFKy0Loai4JuQFNFQYhFDXoaYJvLCkLCoS7JjgWlVqWlaWLBiCg2nIelOnH8YUZc40KmiZEvsTmEXQNiBISvrTGEctiJKCWQwih8MYvr5U55c7Qzo63D4YcXcw42DsceBnKOSMvJBBUMUAD/wEQ2SMvAQvSfn+tQUsXWO9ZdNydF5fa/Jv3t7DUauAjUlYpZblZcEoLjmcJoz8kLHvEyUpXlIgy4L1pskshT+/sUDNVLh7NIOyZOinlcY5SfmzS22yUqrcNSRB3VBQpZJ39iYs102mcclLizZHJ/rbmqHSc3R6NYNbRx5pmmMoEjuTmG+v1LnVD1h0DbqOhiELhmGGLARbo5CxX7kuRHnxMUuwOUGcOyUczaJTf+ooKx6x8JvbhH3aOH68eWw+Js+S3C/Tu/vTkhfP8fzxeUju52lOfPwzft6f+Zd9/XOie45z/BbgcXL7eH44fHb3h3n3dl5UXptnO2fnNkeDsCJbZ18DcFppirKCtqV+1CGe5Nw+nnE4i6jr8qmHZ5jkLFoa0yglykrujnw26iajKKNpaQRZRtOobupCSDwYBvz5xRb/8693WLU03tgZcaVjceynrNZNGoaCkAU3FxzuDgPqmqBhKLy55/EPby5xHKTUNRlLLbF1hbWWiyZr/Nn1Lu8fzPizK21+dH9C3VC41tbp+ymjMOdGz2F3HHH7cMrXFm3e3A9p2XLVDT+KaJmCMMmxFImOpXCpbWFpKrIi2PMyNlzBw1nElbbN/UlGU5Uoyhw/zjgchziaxPY4hKKgZSqM44KDsc+RF6PIMrMk5eEkQypzJl6K58ccTBKiLCcuJDQFLKWqyA5mCaWQIM/YHYcs2iq6KmjXLEYhuKYgQ0KTFZqWzkJNo2PCLIY8zujPQsZBzDQrudxrsO/FaCUkWUnb0ZkmEpe6Km1bICsGNVPllTWX3WmCpWsoBeSisku7Mwy51rVJckFaSIisoD8FU4OGoVJvuHxro4mXwmsrLscRmKbK5bbNJCpYcE1uLjgossKtQ4/VmsIkSohy2Ggo3DmaMAlivCDgYOwhSSWTFExNoWXpJFnBg2HI9Y7JLM7JEVxoGvSDGFmGoiiQJUE/Knh50WUYJCy5Og/HEZvDgJahMPQTXltroig631ht4kVVsMf7hzM2Bz4tS8FPM4ZBxvWOzVsHU17uOhxMq92QDw5ntCyFIM6pazL9IGYYVETz7G4HZeVyMk86a5vqKZGdj6u5Pd98h+WTGs7mx32MGEgfH++PB8F8Fjzux/uIl+9XRHLP3Rs+H07n809oOP609/bxz/h5f+Zf5vXPpQuP4Vy6cI7nhS+qY3uaBvfzbiHNb3yDIGW9YX5qXvlZQj1vZpPljyq7APePPcZRjKYomKrM5Y4DwP40JM5K1hoGHx779EyFA7+adIMkR5VgcxxypW3x4bHHsmPwYd/jG8t17g59ACxV5nrP4U4/IE4S9mYJLUslSQoeTjySXPCnF+vcOg5Zqet8eBygySU926Rpa+yMfbZHERcbBn9954jvrDeZpSWmpjCNUmqaxM+2Riy5BlJZ8svdGX//WocP9qcMw4iWKTNLBaZcYpkmbVtDKis3gjd3RigC7g4CuqZMlEpockmGzCT0KQuJsigZ5/CDNYdfHoQsuwbv7vp07crnNcxy8hRMQ6IUMqLMmUQlXVvFViFH0J/F5CXIsoSlwNCvInabNqiaoDjp6C9zGJ5UdHMBF1oWpSRzrz9j0RTcnxTIBSw2VWy5ICw18iwiykoMWUISJUoJfg62pmGQkAmdQRhzteOwMwrJ8pwUaBsKjlE11UVxQadusjv0ifMUW9PYaDtcbJnsTmI6tsydfoAoC44nAZqmsdgwudQ0uXXsc6FlYmsqu9MIVRZcbNo8GAdcaFoM/Jggy3FVhbAoMBWZOM3Q1Urr23UM4gz+YM3ll9tTAJYbBoeTiJajUTMUaorCgR/Rc3SSouRiy+IXD8e4hsKya5HlGZau4mgqaZZxZxCwWFNpGAaKKrNa13EN7UQTnBKfvF9RXlLXBZO44ELL4sEwoCgKNpoWUV5w7FWRwn6ccewnLLrGI41p8zH0SYvXJ0kQnjYnnB23j4z3kzH7WeeKxxtSfxN40dwEftvwLI3LX/S9/aq12uca3c+Jc6J7jueB5zVJP+mG+Fk6cR/X+p7FI1tdmvLI6583op0lyQ+GwYmP6Ucxv3P9bl4UfHjss9E0MRTB9jii62inz/XewZSvLTj8eGvMRt3kwdhjybVomApv7k55daFGBkR5SVEUjLyIQghU4I29KQ1D0DJVpnGOqSmUeYaflTQNBdvUq7AHXWJ3EjOOUhxdxo8LllyDrVFAGCe8d+hxuW1wME2I0pyXl2rMEoiyKkFrluQs1EyStEpum4U5miaRppAWBX6Ssj8OaZgKoyinZ2tIQsaPUw79EAq40rK4NQh4aanB7f0xQlSxvLIEcQ5xWmlqLzU1bvcTejbkgG1olIBCwjgEUxeM/IKsAFOHOKuayEQJpVylpxkC+gGYCmQnDWiuDEdhJV8o8uraSvnRz45poGkyXhAzjjMaCuimRZolRGlGmoMswNU1GpZCKQRbAx9HlckRWCJDkisd7ywIcQyNlZZNklXuCcuugaKoHHopusgZBCktS8PSFGQkmraCIgtMRcXRBXGakxaC5YbBrcMJbUvlyE9Ydi2kEtI8I0OQJAlRAQ1TYxKldEyZ/VlE3TS40DQpJJkbCzXGQcL+xEdXVJYbJn+3OeBqW+fIz1ipW7RsFVWSUVSZaRhzMI2oawqduomlyvRqBhfbNu/tT1muaezNEpZrGuO4ssnrnISjzHc5hkGGF6VcbplsTmI6toYqgSwkZFmcjq/52Dqr1318vM2J5pwQP2lOmZPZuSb4szSnfhqeh9b3s+K86a3C83gfvoxCzFe9EDnX6J7jHC8Qnoem6ayU4PHHzlZ1HtHVzq2NTrYhz2quHr/OvPlmHmV6thGhukGnp4b0R17MgqUwDDIcQz3dwp1f+8Njn/Wayq93J1CCpclMo5QkzZlF1XXePw54fbnOYZCw4Bg4uso0LvjzK20eTEKEEFxpmliKjK6rdB2DaZxytWOgyAJFUbjcrbFcN5FkBVlIzNKCPMtYqWncHYQsuAZdW8NSFOK8YHcc8rA/5dbRjKWaxrGfsNa0WGpa3DoK0BXBtY5FUpY4uoSQoESgqwqzMOLuccCxH1NSyTYUSWJnGmOpMv0gx9YEXpKjA4os2PViXl2qE/gBcQlSXjkCkFUkV5agZcLWNMHVYd+DtmOwbCu4mkARGhkwmlZkxtFhFkBLhziq9LuUYMgQZNAxYBxXFd64gEhAxwFVlihKqBmgaydEWBMYqsAUBUmSIQNRCXmeYOs64wCGXnVdVZHwUon+LEXkJX0vw5AKxlmJXBa4hsAxNNKyxAsijmcJsyDinQOfssypazAMcmqGQpKmNEwVRyuJctBlhWEQ4SclQQbdmuD9gylLNZ1f7U45mIT4ScZS02Kt5SBJEjVDJ01T/Chm0Ta42w8xNQVHk0mKaieh5xgc+wktS0NXJfpexDcXa7yx67HRMKkZCkgy622LFVcnTPPKck+VmUYZtiIxi1J+8XDE1bbF3WHIhZbFOM6xNZmOo/HhoVdVeE90ti1ToWkq/Gp/xqqrnwSngGtWLgxzqcL7h7OPRag+HuByZxAAPFXCND/vSTHBZ39/dox/FvymSS6cJ6LB84uP/6Lv7Yus1T4nuuc4x1eEL3sCeJJW90mPzRvHHq8OndXczcnw4zfai22bh+OQlZqOn2SPPMf8d72agX3iB9p1NIq8IIhzLF0+vf5LCzX+bmvMt1frvLk/rfx2NZlJnDMMM7qOTtvS6AcxuiwRnDT9WKrM5jjmWtfB0mRSQMiC9YbJal3H0lU0pdJpurqCF6UkWcb2OKSuC6IkJ85Lfr0/448vtvGTAiFJ7M8SiiLjrd0R4yijW1PRVZVrXRdVVoiSjGsdA1eX2RwldEydo0nEMIjougZDPyMTMmO/SrHy4oysgHGUEiQlW/0IVeTsT2Pqhoqp6QghoQsZhEyhaFzv2si6TNtSqbtgG7DuQlxC1xKMQ7jSgrQUHAQlLy25KJqOIYFW2e7i6AqvrVqEJVxftVisS5RpFfe76MgouszrqxaSBktW5aAgy+AoJaoGRQYNU2ehZnCx5bLSMJGEgm2b9GwVIQRtQ8NLMhy90tzmBTwYxBRpTJDEBAUgQVgKLjVsFK1yWNB1FVeFsJRx9SpYoqbB7SOfvWlEz1aYRQUd2yQtJLy0ihQeBSE7Q5/Dqc/2yOfBMGaxpnH72EfKUsoiZxJEzKKMYZhwta0T5yWzFFabNneGHn//RpeWabBQN+nYBg1d4V+/tcvFusbto4ArXZe1ps0v9yb85UsLzNKCuqFwpW0hC0GUlXRtAz8rudJxuNmz6YcZ4yhjydZ462BG01Q4mIQURRWXvTOJudg26PvJqQZ33px2pW2RF9WuR9v8SNMOlZ/ukqOxPX66BvZoFrHsaCdSo+SRBerZcTt/7NPmmmchS+d62BcTvwlC+azfhReR5MI50T3HOV44fJ4bzJOcGKCaeOapaHP0asYjWrv5duc0TJ7YrDKPF53LF+bPsTnwWanpvLc/rSzIhMBPclqWSpSXp7KFo1nEg2HAt9YbvHPocalpEsQ5UVZy7EX0bJmfbI1OOtRLdFnCUmQejkNEUdD3Ig5nEWmW8Td3jkmzSud4px9QNxQcXWWhpiMhIWTB9jik56j87eaY1YbBg6FPS5f48eYAUeTc73v4UUyYlLRMGVUW2LrJzYUaqqIQZinXOnX8TJDkEq8s2uxOQuIsx49zbh9OkaWctx5O6dkK+9OERVcjSTM0GXQZLAvyUma5rqHLgqjIiaOckZ/wYDAlywoOZyE9W8c1FOIUrnZ0Ck3nz651kRWF71yymeYSx9MAg4T/sjngaOqhaaAoMqt1DUmSGXgJGzUdL8ppWQatukxRQlIU1A2dKM1ZcRQejKBjyMxCGKdgKQJVrnS4CEEqSdiqYBqmeH7IJC1o6AqHfkrDECzVTXQNVmsKTRtGUcbllnOqU5aKhJ1ZQt8LyLKMmgLTpECVCpaaDpd6DWxFoW5qqAKGUYkpF0hS9TeGaYoqw+4s50rbqrTWtsTeOEIREssNk2vLLTquQ7tm0zRlDFnmjV0PL8m41tL50b0h/+h6h3cOAl5aqmPIgleW6rxz6PHdCy7/nzd3WW8bJHnJB4dT/i83ury1O+PlxToNU2cYZhiyxOE0YBbFLDk6+7MYWRJ0HYNFR6UfVC4kRVHQn9ulBSnfWm9SILPgGqcLymVHQ8iCRddkEhes1SupzLwB1FAEtiaTFVXAx5N2Y+ZjNoVTJ4azDizTKDl1WHhWfBpZel5Vw981/Kben6+a5P62fxfONbqP4Vyje47fBD6PH+6TvA0/6cZ1Fp/WwDK/9uOG9mdf5zwcomUpBEmOpcogwc4k5psrdQZBwuEkQpcFfpahSAIhC3RFwjVU/CRn6EW8vT/lGyt1KCVUVaZlKidVXo3NgU9RFBxMqySsuibYHIU0LJUl16RhqPhZiRenWKrMMEgIkpQPD6ZcaFsEmcSyozEIYjo1k+1RSBDHOIbKLC4J4hRblXg4CXl12eWX22NWazrvHXosuDod2+D+wKOuKxzMQhxN41LX4f/3/gGuVnIUwj96uced44AszzgKCuqaxPbY46WFBvteytj36dQs9iY+QVJQFNA2qiQ1SdaQyoIgzZAleGmxznFYcrWtcn+YcjTxSLKCfgCaqGy+jiJYbWhIRUaYFRQSTEPo2jKmIshKiTBJmCbV8V5aRf6SwziDGx2ZvIRpmCMEJDmEISy0ZHRFpT+LIAcvg4WGhAS4moqkKHQslcNJjBAlK02HIy/F1eHdnSlZCT1bIJUFoaTStXW8IKLrarRsm+tdm//t3X1eWqrxcBhS02UsTWYYw+srJm/veizXdTZaNn/7YML/9UaX/3x/wGsrdfJSQhMlh15MTVeRpRJJEtw99rjWtbk3ChBlyTfW23x4MOXbF1rEWcFLCzY/fjDlH7+0yP/7V9tcbVWV4Y5r8ReXO/yHO32+s17H0VQOg5Rvr9b50eYQIZVIwLGX8OpSlc630bIxFIk7/YCrHYu+V5FcqQQkWHCrhePZEJVplJyS0/l4MmTpdFyd1ds+PjafNL7zvMBPM2xVOQ2SmD/H4+mHnzZ3PMv88qJW6F4E/D41xz3v78Lnvf55M9rnxDnRPcdXjc9CWM+eM68aPYt27tRa6KS7+2kavrPXnjfcpOXH9Xnz60VZQV4Upzf2WVTZkUUndklJmrPvJRhCIipK6pqMLEvUToju/iTAUmX2ZzFNS+NS28ZPctYbJg/HIX0/YRrGFEWBKiv8eneEqytc6znkpUR80pwmkTPwU1qWygeHPmVZoMqCl5fq7E9DGqbG4SzC0WTeP5ihyoKurTFLMn7xcMQPLjb58cMJL3cdfvRgwIqr0Z/FFEJGLQtmGfRsDUsXTKOSmi4x9GIuLdQpT6rgkyBBVQRHfkoSR0SZRF4WmAoMopxV1+BwFmMqsDurgiDyPKUf5OgCwgI6tkHTFGxPQ1qGzu4koigq7a5+0khmKnC5o7E9STCUSn+bUm3PybKEqWpkRYIXlCga6BLsTapY4J4OngQbrooQEjvThGlQnWvJIBSomZVjw5IFRwE4KjiGjJAEtioRFQKVDCGrXOvZvHsQkCURrZrJnpejFDENSyVOSnJJUNNlXllt8quHUy66JffGJRebGkd+iqXJXOs57IxjXllyOfIS+rOAl5dq/HLH47sXmiRpxjgq6Pshi5bGcZSyUje52w9YqikczTJWmgYtU6dA0LaqkJBrCzWGYc4/vNrm333Y5/uX2/zwTh9NlCw4OpqqcK3nMgljslLiawsO/+e9PpYmmPgJqqqw1jC4dTTjlcU6NUNlGGZcaZkMg5QoL2lZCg9HIUmWMUsKrp9IbObE86xBP1Qk9hcPR/QshbSsKrQX2/bpeJqPo/nYfHx8P2lBeva8ZyFeTwoN+DxE45wIn78HXwa+yILhnOh+TpwT3XN8FnxZE91nuc58YphLEp51gnia7dDTrj2PBV6sm4+cc7aqezY5DSqT+jnJtTWFaZQQZSWqKBkFGboskZYSLUvBVhU+7FfWYVmaU0pVUMRG0+Jv7vXpWlWi1CTKWKrpbI0jvChiEuVc7rpcaVsczSLe2Z/QMjVqls7Qi2jbKvvTCE2WibKCKx2LN/dmXG2Z7E4jsrJk6CUIqeTAi3m55/AfPuzzRxebvLM3plcz+eDQp2UKorRgfxpgKRJBArYhYyhQlAJdVVl2dQZ+TJwVHMxi6paGH6V4UULXtTAEbI0jLncMdqcZpqYwmQXUTIUwhaapMkky+l6IKuYuA2AKGCXgqjDL4GLTrPSggFRAUkLdgiiGrLLSJcnA0iv71Cyv/r8oq2ONEiZp9XjdBFVUpNiLSg5DqCtgGuAo4Gew0TA58EJUAQKJSVzSsVW8OKVtmxRlSZ4X5CWsN01+uTOhaQiudR3uDAJUCRxTR5bAjzIutCwmccreJOL19RZZXi26FCHIsoLVpsGCa+MlKX6c8GCc8F9dafD2YYRU5mRZhqnKTOOS6z2bB8MIRS7I8pKVRo0FR8HLJF5dcvh37x9yo2sTZjnLDYe8KAjilMW6ybGXYCsCSZZYb9oEaU4Qp1xo1xgECQ1DYXsYYGiCS50afT85tQ8rioL1pkmUldiaTJ4XDMMMS5PZPPaomzJZKdGrGY/Y9c1jfeeYxwJbmnwaz2tryunYOUuMn5W4npUhfdKxZ8f30xwengW/T9XMc3w2fJWLpnPXhXOc4znjy9QufZZBPtfXnXZtP8VK7Oy/8/M+6djHry3L4pTkzv/Oua5wfk5eVDfn+XUrX90cFfjVzhjX0LA1GU1RuNRxSEuJrqMRJDnbk4grTZOiKDBVQZyXdGyNf3/rEF2UvHswIUoKwjRHVRQWazp74xhVVDreKCsZRxkrrkZSlLia4ELLYhTmXOvW2JtGLLkq/+u7+5gy9MOE1ZaDH+c4hswwKvjOeou7g4h/+toiW8MqjvhwErBgywhgteWwWDOwdZ2Oa6ArKoqsYmoqZZmzNwk5nsVM0xxTgVv7Y/woxlJkNFnQrZu8uuTywaHPYOwzDUIyqqarnqOQS9AxFGQgznKCEDqWQlRCy4JpAq4G4yikZiqstwwWGgYbLQNTUZglUBTgxVUscF6CIkPdkkgLcDSJ1ZpGrkCvJlHTYeJV9mNFCWkOrgDXFnxjtUFaVJXjYz+hpmmst1y8pORa22R7mBKnMPRDijwnSBJGs4S/vT/BKGAcFxzOqsWXriqoAsoSeq7Cziylbem8vFCjALJCYsFRCJICSxMgJLbGIUUJfpyz4mr8+MGE5ZqGACQhiHK4sVhndxKz1jSRypKNVo2ea5AW4OqCd/amvLpU48NBQFZwIiOJUOWSN3embDQ19ryELC8ZBAn3jmbMgpg3dgaIomAYJKy1rNMKaVFUkb59L0IB+l5Cz9E59hJmUUpdlwmSnJql0Q9zbvZq9Bz9tGFsPkdMwxMd7UlT6IWWxcW2ze4sPiWcUV6Nu/m5c339s1Rn5w1pn+aqcHZ8P/7Y55mDzknu7x6+yP3s894Tn/f36JzonuMcnxNf1mT/eSaWZ6naPE5Kz/5ufmN80jFnO7rn/80rTHPLMVv/KPoXYHPgV8/pxRiKxE+3R1xvG/zw9hGN+TasF1PXZA6mEboiYWkye15C29ZQVYWOpfGj+5Vs4PaxR9vSOA4SvnOi9x0GCTeWXJK8inzKi4KOY9Cp2aw2bUqoiErD4OE44o/WG/zN3RF+HPP+/ohplDHwIjYHE362OcQQBf0w5esrdR6MEtq2Tt3SSAoJQ5HIy0qnud6y0VSFrqVgaRKLrkmUFlCUTJOcnmtQUxUmUcErCzaqooIi8+pSjTAtGMUZUplRytCfJVxuW8iagW3o1HWVrXHIla6NJCpNbNt1uNq1sFUVgJEHihD0ajoNx0TXVDbaDlEhcbGlEMfVRJ5ksOioGIqEH5e4ukRWCmZJzs1eHVfXcCyNpgMZErpSWZu5FixYKoNphKvJjKYwCXIkcrZGIa8vu2xOYzoO6GpVDZZklbqhoenVNSLgZsc68SyuHDMWawYbTZMwkfjuhTquqTFMoEgyLAWO/YK1poafFWwNI7qW4PbBlFmcMfRibFUw9BN0RcZPCpqWxp3DMVe6Jg/HESuNGl3XZLVhYGgyQZJiajIHs5iNhoEE3OqHXGmbTOOCmqHw/mGApUrsT3ze2hnTthW2pikrrsk4TmlbGnFeUtMED4Y+iigZBQlLNZ0McIzKMeFq22KSFOx7Caoo2R/5dEyZD/v+6S7HWYcS19ROq7VV2ETC0SxivWGyOfDJ8+J0zM4bQuc2fvOxuTnwPzbO5z68wCPj+JMIx6fZjj0rzknu7x6+aPHmeS+APu/rOie65zjHF8CXQXI/78TytHM/qeI7rxJBRRQNWTxT9vnZCpMhSyeVJJXdacyxl9DQZW4deRhKRUJfX2vy0+0pf3m9x0+3xwC0TZVRlLLoGuzPUgylIpRFXhCkOe8fjKnrVfyvrVcV4D+72mU3qLatv7lcYxikvLri4sUpb22PmIYx4yjjUqvSvx56MYNZjKHKjJOqctbSFY79nJ6jc78fkGc5qigJ0oKDaUIQJxxOfChztocB31prMAhLFl2NrMiZhCmmKvH+YcCCq7MziWgaME1BBcZhSsdWeG3VZZII/vBih4ah8OOtEXVNEIQxrmEiS4IrXYtRVNLQBceziId9jwVHYXuS4ag6G506SBI9x2SSpJgaIKBERldkHvRnjGYz3trt09AV8lKiZlUhDku1yppsEJYs2AIJGUuRcBSJ/ixmGsYYUoFQwBAleVZiGQLT0BFCpukYmKbBcltGFTBLcnq2zruHU2xZwtUVZEWmV3e42TXpNBx0VeFS06BlKZi6hh9XQRCTMMHRVRRZxtEVtochAz/BJOb+yGcUZSgyTOISURYsuirvH3j06hpCCFQhCLMCScDhLMJUBDujgHZN51cPZyy6Kvf7EwZeDHmJLGRWXBNTVVhpGAhAU2WapoyXVEEXi45MmpXM4pxhkNGxVe70I/7oQoPDWYwsBKYm07E1ZEnQcwwKZL610UZVFC62q2a0Yy9hdxZzvWvTNBUmcYFjVO4Uq3WdvCjYGganYzQ/I+U5lSScSH0GQVLJHPLio9+Jk7TBM6Rhc+CzaKmPkN35eJxHDD+u8X+Wcf158Nvcff9V4rfxffoyiOpZidscX8Z78UXuleca3cdwrtE9x1eNL6Lz/aznnm1eORs7+izaPqiiSsd+TMPW2RqFLNVU4qyEskotW6sbDMKUvp/w9cUaP90e87UFhygr2JnGtEyFKCtZdjRuD3x6NYMiL4jykvtHUzJACMFrSw5bk4S1hknP0TEUwb96a5e/vLnAj+8PSIoSP47ZGUf8yaUO4ygjy3Lu9md4cc5aw2ChbhOmObePZliyYJIUbDR17h57xAVcbpvEWcHeNCLNcpKs0qFO45ymoRLlBTvjkCDJiJIElZJtr+RbazZ3BiFSKagbEhKCIIcoy7ncNHhzz6emZhRCwVZkFEVBKQvujyJMBWRFJooz6pZKllfeqpoC667G7UHCdzbq3D0KUDWFd/dCmgZc6tncH/iYCngBNFwFz8to1nWUPKYfgReBY4NbwriEP7ncY38SEMYp4yhFFxLDIMfWwY8hARYsiaKAoihpuzaqLJhFGZqAJMvIypJJnGGpgjgv+OZSk6MgoWkqWJrGzmDCYZhRUxXSomS9ZfHWzoSbSy5rDasKGokiFFVDlQV9L6Zta6SlxPWOwdEsIy1ybF3B0BTKvKBl60yilCzPkKQq1ngcpmiKwstLddK8YGvkYauCplVpZl9fb1Z+tifhDpMTXbAfp+iqTN3UuXM0YaNl83f3B+iKxCzM+MONJpMko+foTPwEx9J5fa3J4TSCElYbBneHIV9frPHWwYwszdBUiYLKI7quyaRlteCRFQkhBH0/YcnR0NTqmCTLSAvptMHyYttmc+Bja/KpU4KfZKfaXD95cszu5sB/xAHlaU1ln0e//6w41+Y+G37f36ezfz88m9b8Wa979hrnGt1znOO3BM9qCfZZzv1ElJzeWOfP80kr5aNZVDUeFQV+kmNpCsdeRWQnUUHNUBGyYLmmsT2J8KIUR4W3Dmb86eUOaQnDMKOuyhzOIgxF4u4o5NrJTdvSZQZBgq4JGpbGzZ7NrX5IXhQMZxFHXswbuxP+8c0F/v0Hh3QdlbqhECYFPUflYBbTcQzSEjqOTlFKHHoJD4YBa65Oy9YppIJl90RuUUr81zd6bI8TwiRHIDBlmQsdhxyJlq3jWgpHfopGgSokJKEQoLDiCH69F9DSFGq6RF4IorxkFkSMJh4/vn8Eecz9UYwfpYzjHJmCfphhKRkHfsRw6qORM41LvLhAl0EU8E4/4WsrLvcHIYtNi5Efcq0DyLA/C1k04WgCsgphkuGaEMUxUaky9ivXhDSGgwTWHZl3d8fUdcH+uKrk9sMcVaocFWYhJCH0gxKEBLLMLEgos5g0jwnTgijLGUcZNQGH0wINuNUPcDWZvJQIs5wUmeGsYBQmREnK7aMpF1o6EiV3+gEqBcMEshLSLMdUJAxV5mbP5L3DAF2XWavrhGlBlmdoiiArSxZdi65tUDcNSiEwFIUrHYt+kPHKksuryy0W6i5RVrLWULjX94jSnDd3xgz8iLoqcTCNMFWZOK0S+v7BjQU+OPT4xpLD0Sw+kStkXF9oEGbg5wU1rWoUC9IcP8v5+c6Eb67U+en2GF2WGEcZm4OANMs4nAb4aTVmUqBmVLIRVxeMwrRaRGoKslTdZufBK3PLPFX6KKHwNGpbVx5pXDuLOck9K2t4vGp7djfneVR0z7W5z4bf9/fp7N//Zb4Xn/ca50T3HOd4AfG8TLptvfLfPCtrOKvBfdrriPLi1ApJU2VeXnIZx1XVrG1VzWVRVtB1NExNJk5ho1k1slUhEgrRSSXZ0mQ2miYpYGsyfS8hyaoO/HkTUMNQUCUYBDF9P+F6x+ZHWyO+d7HJraMZYZqz3LBomzo1Q+HBYEZDV0nykiVXYxYmBEnG2wdTvr5cp2MbCKHQtDT+5GKL/+W9A15esEjSjFmcEBUZ4yCDokAgsTUKWW8YJICX5FxfcDBlCVlRWaurlEJwqeMi5Iq4KaKkU7fo1l0kIQhiSLKcPA459iJkWRBnEk1NIUGQySq2UtCwZZIcvBwu2hJHs5SGpVGUJd++2CUsFRZtwXrdZNeDpl0RWlNVOJiBo+vsDlOWaxACF9oG63WN4zBnyRLcH8Zc6lpMkuo8SQVTpaqcS5XLgiqrtLQqOGNrmp4Qs5SjaUFdh8MEbnR1jmYQJzH3hgG7Aw8/KdiZhCzYEOXQMg3Wmi5BInHn2GetpvDmwYQsTZHKnFGYsFw3KRCEGfQsGVMuuTtK6NkaUlFFEUtlSZIVtB2DKM1I45SGXfnfNk2ZW0cB6w2DZVfjB1fbjENoWSpJAU1DwY8L0rLE0WW2RgG2JpiFMb/amfLfvrLEcVTwx5e7tGoqaQF+lNK1VGSoyLlUsjWY8c7uiPW6xo8fDFGkksNpSF5WVeNJlNEwFG4f+6hSSf0kBXBnEuMaVaLcfLwNw4yGLlfpgXFVPe7aOnuzR2UH8+ruJ437+e+BjzWVnR3jj+t7v0x8VoeX31f8vpLcOR5fgD3Ld+J5fW/Oie45zvEC4nlUBOaTyNlms7N4UrrSkRdDyanEAT7y1J3fpG8deVxtW0R5Sa9m4Boqy00TW5vHDZ90phsq602TO/0AQxEce1UnepDmGLJgHFVNPnM95ErTpulUrgzHXsyVtsX9YZWSVTvZFl5sOvhJQU2V+bDvcaFlE2QQ5zlFkZMVJff6HjcXXHRFsFgz+LutMf/oZo/7w5i2a3GpbVOUsD/2KEvYGnrYioQsBK6ucaVrcezFXOzayLKMpaksNW2GYUpDk4jTnEsdlwXX4uvLNfwMvruqkyJTt00UVWHRVlGEjJ+VXLAhykq+vuoSpYKNtl0RNUkmSjNkSixNYWccYcuCspA58BKWalUVGUWCIqPrwtYw5lIbIiHxF9e6J9v0Cm1LZ5yUXO1ajIPk1KotjkABVlyo22DoMpYM/ShhHMe0DYUkL/AygWXCKIAfXGhwFBU0LIhz8MOMAz9jsz+hYwqmKby20kRWJNKyhDzBVAp+tjNGKarn85OqcfDOIODbaw59L6WUBEM/Y6WmkJYFNUOjZmgMgiqEZBxVkgZHl3k4jOhaKntjnyzLuNsPaFkaBTLrLYuVmsHBNCYpC9ICFhsOx7MERcDPtqb0vQhHFdwZ+Fxq2zQsjWGYYcsQ5xlbo+o7WdOrZjZJCC40LY6DnLalIVFplh1NZbVu0nGqdLVvrLhEeckkzrl15HGxrnOnH7Bc004bztbqBsOTCu98zAzClLW6caq5/TRt7dmxe3aB+jQ8rtn9pPngWR9/VvwuJGmd48vFs3wnnuf35pzonuMcLyi+bJL7qTGh0qM/Hs0iVGAQpp8or1irVwSm5+iVi8OJxVgVb1oZ4wshCJKcYy9hw9X539/bp65X1dxezUBVZC61LIKTbeZ5NKouS2weTbk7DMjzymrs60sNfr0/5aWew7EXMQtjtichl9smYZpT0wVLrsk4zDFlwUJN593DGet1k3sDD1WU/O8fHHCppdEwVJAEZSmx4BrkCFYbFqam4icF602b41nKimOyP47QRcHOyKc/8ZHJ2RzHaKJkFOUsuRp3jz2+uWTzYCbx/Yt1FE3nUsPiw35Az1VYbthMC4M/vtxgEgu+sezgxRmCsgog0GAcFURJysQLKfOE4yAljlNkqWSUlCzVTCzDJEzgcltFVnX+5EKb41nVABWECVkuoYiShwOfSx2LHIm6oeKa4Joylq7RdSxKYHcSY2kqCnDkpWR5gUJOmVTNbR8eTrEVgXHyFSgkkAuAElmSubFUJ0ozujWdui4IkHFUjYWazYKro+o6600bWcpxNMHf3B1ztWuiSjBNSxZqBoaq0nVNkryAHA68ytNWSBLHYcHray6SojAJc2ZRhq5K3DqYMfAiupbGf7xzxIKt8PbuhEtNhf90+5ChH/DO/piSlP1pzIORT5TmbA98dgYeQqIqa0syi3UTSQgGfsxiTadrGyiqwlrDpK5XmtdLLYsgy4nzqq3l5oLLJC5YdA10RWLD1Xn3yONGz2FvluAa2kc2fa75iI62bap8cDSjocsczSL8+CMnhscrsY+P3U+zEJs/ftbe7PHjPunxzxon/Pjr+H3ftv9N40VcYDzLwut5fm/Oie45zvH7gjNE9klODU9KSwuyDFuTT3WBZ889/TfNaJlVOEReFGyNAtqm+khlKk1zojQhzku2pjHfu9Di/ihko2WdNuXUTrZ8i6KoKsnA5jCgXVMYBwk745ALTYPbg4B//NICb+7PCOKUpqHQdgyatolr6rzUc6lbOj+40iYtK3uo7663uD3w8eOCPM/Js5Jf707o+zFelHA0i7FUQdPWudK1ud/3UaWCXz3sc7FtMozSqomqkFismSBJpEXlouBnJct1jQ8PfZZdlWlS8v2rbd7d94iThDd2x9TVgoNZTkOT6NY0wjAjy3N2pxFSHiNLQFGQCZWNtsUsKei6GlEpY+lV/O/dYU5bgbuDgDgKud6zMQ2Nl5camJpClhf0ZwFhKdOpKYzjnIapcOiXXFtwEbJCz3Vo21blLEBGEOe0HYW8lHF0jeWGRk3T6NZMUOFirXKvqJsS0xSapsKaq6EYsOra1CwT15BxdJVjL0EgaGqCrISWKSPLMi8vmIRZQVbIjKOc5bpGkMI4zvneWp37w4gFR+fe8Yw8y5jEOUlWsDWc8f7+lLZeVf+nYYqulAip4FfbEy60dAZexA/vHrNeN9iZxFxo1dgcZXxrrUFWSiy7DuuNGjVTreQ6aY5jCCZJzrJjEKQlpiqjSiW3Dn0WalVi21rDpKlX9m6TuKDrGBz6KQuWxrEXIcqcn2+PWXKqv3vJNTkKM15adMmLgrpRNXueHV9n/z/KC24u1BjHObamfGRJdiIB+lhFN/04IT1rI/j47+Yk9mnk4RNJhfTxhz4JTyLN5yT3y8HnWXA86TvxIuCTFl5nj3keOCe65zjH7xA+aQKZE9ln3SI69hJqehXVOw0rEjv33Z37fQK4hoZrariGRpSVbLSsU/N7P66cHSZJTpyVrNZ1bvQcsgJeX20QnTS5FUWBdSJH0BWJMMnJi4JLLYtjv+AP1hoYmkySlby6XGcYpizXTVbqJodBxlrTxo9TFu2qMW616aBrGnVDpWlp/Ku390izjFmcklM1rZmKYBik5EXOal1jEGY0DJmdcUhW5NwfeBQIkrSkYes4mkzP1VFVmfWWydWuw/44pq7L3DnyuNg2mMbw8lKD/WlC05CJswxZkqrghJqOqSloSiVFEBRM4xyhWmSlxJVODVVIDPyEjYbJ1jBko1NDVzRkRdCxYc+HjiZhaSqTRGK5ZtC2FHZGIUGaESQlWRbzzoFHXRM8HAUUWcKbu32KOCLNUiZRSikEeSmhKRLjMEOVCkxNRqDQcDR0Tee76y1yobBc0/HCkssdC12WmeUyr3RrIASWUrAzCDEUMFRBmmckRaUhXqqb9GoWB36JKxdsDnxqSk7fTykouNIx+U/3BzRtlZ/c7xMlKQdezIKrEmY5Yz8my2KGccHOJOBi2yJMCu4NIv7JK11+8nBGlBVIecruNGKzPyPNq+/p/jRio2lwtWvTtDW+sdLAVmUalkbTMvn+5S6zNKepy7y9O+LNnQmLrsLOKKZuKAyjjDDLmEUpR16EIoEfp2iqzIJrkeQl6w2D28ceKvBgGPD1xRpQyVJkIU6lO08aa3ON/NxRxNYU9maV1dhZgnxaxVUrMjyv/s51unN3hU+qqD6tAvw0P91Pigd/Es4ruM8Hn2crfy59eV767C+K39R35ZzonuMcvyP4tNX82Rvf45PN3HbsrDn9pYbBzjSmfaLvHATpR01smgLlR9edX2u9YTII0tObfF4UHExDVus6CzWDKKt0vDWzqpbNrxPEOVFeVs1uioIQgp1JTFYULNdNhBAIIVhwK32wa1RxtPcGHmuuwdZghlTkvHc4437fY6WmsDvyUYD/7d198izmZ5t9kjTFMQxWmhYrdZtvbbRYatS4stDg5aU6iqgakhSpZHea8AdrDrOsxNVFJa/oOHx3o0OJUpGyukaQltQNlbvHAUmWMw1jlmsK/aigV7NZrhssNF1MReAYCqYoUBWZd3YnlGVOkUYsOpWtWdvRSZKEN3bGXKgr3D8as+qqzDJoarDW1KnXTFIkLtQ1yqLggyMPQ5OJ0wxLlzmagi3D/ixFVWSGYYIoJFJZYc+L8YKIo9GMcRLjBSWjCAazhGM/wtIFh2MPJY/Y92KEkGkZglKWyQsJVRV8a8VklBTUDRUhZC52LB5OUy63TSYJLFkC09BIS1h2VUwZRnFB21HxU0HdVEjijA+OQ9qG4P39MXlZ4KcFjq4iyyo3Og6qrtI6iRv+3kaLD498FusGy3WN9/Z9vrPRoGYo6EplNpzkGQMvQZEhzQuiXGDrKpeaFsd+yiTKuNq2sQ2V+8OA5brJw0mIowlajs6iayErggVHxY/TKjnt2MMQgrf2J1xvWYyijG+tN3FNnYals+Ba1CyFrqOdRvm2LfW0qdKQxWnAyuNyhLnrybwR9EbP4daR90jS2SmhDVPyvHJqeDAMTsfv09IRn0QknpU4fVYS8mnXexEJ128DPi8p/KTEzBcBv4nXdU50z/F7iS+iQXtR8ayr+ad65p4Q16NZxMW2zf1xxLfWm8gnbgjrDfMRnaAsi0du4Lau8HAc0rZUplFy4ueZYqkyUVZWzWgN8yO7shMj/WGY0bQUDKUKovCTHFEUZGnG7iTE0QXb45ArTZOtUUhDl3n3YMbO0KMsSlJgrWFTChlKWGsY/O3mmKW6yf1xyLKrgySIC6lKUrMUXE2hlEpuHU652DAxFEHfS3kw9GiaCltDn2+suNwZplztWEyjlAvtGnVTJy4KDBkoc+KoQBYSeQlxmtG1BXuzlPcPfZpayfYopK4L9iYheZlzZxCz2qpx7Ce8tmzjhQUr7TqFULm6UOPQS6mZKq+tNNjx4OZSi81RjKuUHEdwoWOTFBKX6gpeVuDlEoYE+2Of1VaNpm3QrEnEOegCwiRHpiQtSrKiwJagFBAj0CSJQkBNhqiAjm0wDQtkIXNnFKEpAlsu2ZxmtNQcqchZcG12ZznfWK1h6xKupXE0i7ncrMjnK4smByEs2jJ5ljMIMmqaTFwKdKlE11W2hwGDMEHkGbO0RBEyDVNDkWW6pszsRAJjagrXF1y+ttJkbxrzylKNOC+5seBg6hpxmtO0DF7faGCoCt9cqVOcXKtuyFgqbPY93jmcIJU5pizx4wdDbh+MMeWcX2+PWK6bWIrM11eaqIrCDy51eDhJKAFdFihSiZ9lvLxQ5zjKuNqx+MXDEXVNJi8K1hrV4q1taae2YHN/aoBjv1ooPl7ZfRKJGQQJN3rOxyKAgZNQiZK7w5CrbeupsohPmx+eR4NrXhRP1fWeN6Z9MbyoZPWz4EX47M+J7jl+7/BZJ9+vcrL+os/xaav5T/pbZLnSFTZOkphu9JxTUjy/Ljw9anTeZDMI0hMZw4llmQSGXAn/KkP8nCDNGYQpAGt1g0lcnBIGAFWTWWxYLLgWTbOSOxwGWRUA0a8qtQezEEOWSfOS9VZV9XUMwQdHHiuuzvao8ivtORphJvEPrneZxgUNQ6OUYH8S42rwq50xd499/Cii76cMvJhF16I/i1muaby3P2YWxNw6mjHyI24fTRl4EaqsEBUliiShCommY9L3CxZrGrYmszOJeWnRZnuS4ugytw8mrNYEv9id8EerdR7OSq4vOfS9mLoq8YsHfaQioz+NeTCKuNk12TyekVPgBSVNU+NwGvOHyzZ3xjllUeCHMQ/HPpKQGAcJSAKDEllAKVVxvUEOji5oWzqyouCaJi8t1KgZOq4uqNkyy66gH0SQxUziHLkoGQcpddvgaschkVTSQpDnKct1lXf2fOqmSt9LELLM5iDAtRR+/mBCy670yrJU8GE/rNLdygJDU8mTGFcTHM5SunUTWZJoGgKQuLng8O6Rh6UI3jqY8eeX2+x5KVc7NoqqYGsyV7su/aCkbihstHQOphGyEPz5tS5C0fifvrXBN1caJIWgKAUbLR1DkVEVhX6Y4BoKiizx84cef3q5zTDMuLbgVjZplsooTDFVmZWaTiEJZFVhya00zV3HIEhylpzqONdQTyQK8ik5nZNcP6lCILqO/khK4VnY+ke7HnlejYtBkHxEmM9UfR+OQ9qmyvWuze4sfqKt2Nkx/mVrID+tgWi+6H3a738XCNtvC16kxcXnbW78snFOdM/xe4fPOvk+r8n6WTuhPys+q+3Q2S3SXs1gHGdcbNsfS1x63HP3rJ/n6XFphiFL+EnGNEpRqbxFkarjj7yYiR8zi1KKokqBOvarxLSiKE62blVcQ8XWZK60TH65PWYWpmyNfJYtmTd2xkiyxKJjcRCkfG+jwU8fDPGjlCDO6Vg6CIkkL1h2dbZGMZc7JsMwYbVhUEhVDOwfrjeYJeAaCpQFD8chqgSqKpGWEpoisz3ykSV4MI7xopj3docnWk2lIj0NjXEQcRxktC0ZW62a6RQBSw0bIWT+3vUuNV3lm+ttBhG80jG4NQgxVYl7RxMsVeLBOEYVEvvTEC8t6NkyP384JUxStLKgUMC1dFZcnb++N6JuyEyimCMvZBZlPBhG5EVJEoZkklRV3CUoShAlaLKKH2XkZcFa0+RgEpEVEtcXHBxVJSkVlk2ZUJJJC6gbVSSwpSust23WXJ1eTWVvGnPnOGS1rvH+gU+apIymHgM/ZnPg48gFe+OAuqXws4czViz40eaMv3e1g6Zq3FxuoWsaf3SxziRIcQ25kqVQcuvIZ8FW2RoFvNSz+Ktf7/ONJYv/9d09aprgjZ0xULJUU7nasfjh7TELtsztYw9K+IONNoqi8HAS8YPLLQxFIAmVBdfC1lXqukrfjwjjnO9ebPKL7Ql/tF7n/cMZ667O3YHHcVDpvLcnIX6ccrNtsTMJOfQiiqIKR0lLCcdUK3mOF6NSxWm/tz/FkAUfHvsYijiJ104fIaVPWiRGWcH2JKKhyRxOo1NicHaszWOC517WZ+eMs/i0Cusn4dO8e59WsZ2T8afhRSG5v2my9VXhhVtcfMbmxufyEs4jgB/FeQTwOb4KnL3JPa6VfR4T1OPXffz5P+l555ZhUV48EhkMH7+JzWUJsizI84o83uzVGIQpPUfHTzKSLOP+MOK1ZZftcYQXpzi6igrERUFJlTIF8ObOiEtNg+1pzEbT5o3dMTe7Nu8deliqxErd5N4w5HLTJMxyJlFGxzEYBgkNXeV232PRUTiYxkySkksNnbuDgK8t19kcVTKLxZrOD28f0dBlhlGGH1dNeLM4Q5ZKjv2cjiUokXENjX4QsVizuNy2+PnDEWEYI2SYJPDqYo17fQ8/LVBFiaVrXOo4XGjo/Ntbx1xpOby/P8TUZLYGAaqgihy2VEZBSlrkCKkkzgWalJEjGAUFFzs20zBBE9VWui4gRSNJE0oJ4hDCk8jaJVclykpGfkxO5X5wHGRIJUhFRoTCoq1gaIKjWYEtF8iKYBJDkSfUFMEDL+Obqy51TcGxdISQuX0wJi8qR4QgKVltWQz9mGkYEyUFrqliqALbUBn7KaIs2PNT/nC1RiqpvLTgoCuVtOCDI49rXZNRkLEzDrnWNXn/wEMRAk2RsDWVSz2Hd3cndEyZ9498/mC9zjAoWWvqIMlcapp8cDQhS0tataqpy1AErqHw1r7Hdzbq/HRryvc2mozjlFuHU15aamAI6dTb+N4w4MaCy9t7EywFurbJOK52GpZrBh8ce1xsWUzDBFlILNYtDEXi/YMpPceg42jVQg640jK5fexzrWMzTnJsTf5YDO8vHo54aaF2OobyvGAQprQtlQ+Pfa537EcbOR9baD4+pudxv2fJ9NPG5qfND58U0/pJ88OXPWc9jznw0/6+3wY8r3vDp137iz7vp53/Ra5/HgF8jnO8wPgk258vG483qX2S7dATrYpkwdYoqCpFJ84Lc33t49uk89hTW1OI8pKbvRrbk+i0m9zWFNJC4rWliuROg4QwTrjb9xCKRAkUecn9/oyJn/C15ToHQc6CW3nsvrRYZ5rkbDRN8lIiyUu+d7FNhsQwzFlr2uRFQc/SGIQx31hpMElKLndqvLzosDONcXSJf/feHl4YoYuSN3anXO3adFyTuqHx0qJLmMOya2EqCi1LIc1KrnQdRmGCo8HRLOD+wGO1aZMJQZzB9y+3eOdgxjSMsWQJP0rQRUFZlvzPv97Hlgt+unXM5V6NQVRyc9FmGJe8utpAkiQURaApKjVDZ71t067XMFSdFVej7/ssuQYFMoYsI4SOq0msNSwKqnQ1XYI0T9gaV8TL0WUuNG3CBK53a5iiICqhpVdVWy+G11drIMEoyoiyiE7N5DDOuNJQGHkJD8YRUZISxjFhlDCNCvYnMYbIuHc8ZcnVqTs2HUvCUmU22i4tS6cociZJyoIp2PcLFKlyDgizknsDnz+71ORgVulP//71Hu8eBiy6GqqAoixZrBu8tzdhqW4xzeCba00OZhmrDR0/yrBVCNMc1zS4slAjL6EsISsl7g1CXl6s8cvtKa8sWLx9MOFuP+Ba12QWZQhZ0LY04qxkpW5yNI1YbxgISTBNc9qmRsvSuDfwudiyGAYJuqZyoW1jazI/fzhmwdbYnoT0Zwl1TaBKlX72leU6KVVc7+Nyhff2p6y7Ku/uTTiaRcyDIwxF4sEw+BjJfVzT+ziepsn/tDCJJ+HTqoCftkv0ZeF5bbu/cFXOz4jHJWJf9rXPNiI/7Xk/Lz6N5H4VMotzonuOc/yG8FVMunNSO78hnrUHO1stMhTB5sBHlTi1MJq/xigv2Ghap01ptqaAxIk8IfnYJCnLJx3nilQlQDUMHo5DDKWq8tqaDBJYmowkSwyClGsdk/ikYe0wSFirV5U1WQh0WeJgGhAlSbVNXEq0TI0LLYs4L4mzsrIiaxrsTkIutGwKIVh1LY79iO9uNClE1YF/Y9HlcJbx8rLLsZ/w4wdjZKkkjDKGQcZiTWXgZ9zo2MiyxIGfcKnjsNpymEQFaZ6xOwoZhxnjMOIXDw4pkgQ/K/gPHxwhigykEs1QMQwTQ1d5a3eCH8z4j3f6UOT8ZGvCpabG+4cBGy2DWwcz9qYxghIhJDRVIUoLFh2dbk0jSBMutmocejFLTQtdUagZCk1LZ28WsOpomCYIGby4wJZSdkYespA48hJeXXMJs5LVloOmqKcxzf/olSWOwwLTNCnSDLWAw1nEjW6DUmjIisqyq3PkpezPUmxDwUtilhsGm5OCC02Tg2lMU4WVTpOFhoUiYBKk6LKMLgtWOg2udy2+vVbjl7sTZKngcsfgr28fYypVA+LPtod8b6PFLM6IS1iv6/zo3pBFS+ad7QFFljKJEm70bIKkpGZphGlJnOW0TIVJmJJlOVFWedBebpscziL++GKHh5OY670af7je4G4/xjUUoiRhczBjECYMggRdkbh1OEPIgqahkBcFQz+h66j84uEA60RfLgvBLEr53nqDe6OIP77YZqFukJYSlqqwWtcBPqafnS8OL7Qqd4r1pokhV+OtbVX2fV1HOyW5p+PuGYjZl9lh/yKQwOdJSF+Ev+/z4nHJ2JdJDP0kO21EftrzftlOHF/0+p8V50T3HOf4HcXZ1fKpb2fN+FgV6HSy0eTTyfQseZ2nO83jS0+9NueV26x45PmgskDKs5PZs+T02vPrRFlB21LZaJjcWGwwjatrpFnGek1ncxyx7Opsj0OiJMFWZSRZRVVlvrveRFWr1/BSz662bh2D4zDj22tNhBC8vtogLgpalsYorCoWriqzOwn49noTL4EiL5DKnHEQ8XcPhsRpSpKVGJrK/ixiHCa8tlhjfxrjGCrDMKJrqIyjklcWHcZRgaurDJOSskjp2YJZVoIkIwNrruCDQx8/Sdn3Ukzg2M9w5ZwPDqZYusbxaMowTjHKykNWylO2jmcs2zLjuMBRBdc6LlvjlCtNlYeDGZMoRgiJEsGVToOBH9EyZHqOxmrDYpyWdEydvWlIz1H55YMxaZry/lHAH6/W2J4mvLLo8NOtMT1LYqs/oWYalEKgSQXTJMWQwVBy3t0bMQ1iaqogTEoutRySrOQ7GzXuDkJyJGqqxCDIqSkSEgWTMCbMMq53qy36v3d9iQ8HCd9abZDmBT/bnPD9K22yImNvFrNUM3nvcMZG22XJ1jkKcv6f39tgc5rxzQst6paOKitsj+OquUwWhGnG3jTiXt8jKwrCrCDJS15ecBmGOX+00ebBKOAHl9sczWKmScGfXmlz+8gjKyvi6kcZuizxk61R5RV8Yikmy5X8YhDmXGjZ7MxirndtbE1h0TXZnMT8k68tn1qIXWhZNGwNWYhTr9v39qfVc5w0peUnftEvLdRwzYrUzq34llzzNEXtLD5LD8GzzAW/LfhtJqTPE2d7JL6s92iusY7yz1fNf9o1PwsZ/yo+73ON7mM41+ie43cJT9M/PU2zO+/6nuts/SR75AZ8NItOdbpnf57r3wCOvJiGLrM9ibjccaobfVE8Qop7NeMRmUSSZcRpyTDKaJoViVWBfT8hThN0VeOlhRr3jz0sTaZ20gz0t5sDXu463B34vLTkcuwldB2NrRNbr3uDgO1xyJ9cbPL2voehVJW5QZCSZSmH04TjMGW1puPHKfuzmCu9GkEYs+9n1E2VS22LvVGMqQvuHntcblsMwoyyLDkaBzRrJqoQ+GnKYk3nYBLRsA0eDGZYqkSZw9Y0xVJLNEVFSAVZWuDaGrMw5XgWkZUyMjkIia5daWxvLteZhil3jwO+sWzzw9t9LE0lSyNUWeUbG00OpgllnjFOShxNZhpnqGVOUhRIQnA8jWhYBvf6Edfbgu2w5J+81KXvF9Qtlf/84SE1tSCXDFZbJmlaNdKlpYQXZ4RBiKULMqlqADM0mWlUsD0KaRow9GPCXPAnl5scTDL2ZhHf2nB50I+YpTl/tO7ycByzUNMZ+iGlUGgbKqVQ6FgK2xMfP86QygJFUXmpV2OS5Cy6Jjd6Dr94OCZMM+4ejXllocU4SbneqxEkCfcGIQuOhpAVXE0iK+E7F7roisS9QcDFpsF/utPnQtMgyEre359xtaMTFQJXU1hw9RPJgMOHfY/LbYemqbA3i1mwVfZmMX6UsVA3cXSVl5dcjmYRSZqTntw1VUBWJIZBRstSmIUZt49nvNRz2PFSvnehdTqmjrz4kUayedzvJ+li4bNrbZ+m5f1t3rr/XcLz1Np+nuf4Iq/nWe8vzwvnGt1znOMcHyOzn3TcvOI798g9azUG1Y1ZleBgEn5kJ/aY6b2fZKw3TMZxzuWOU1UhTiq/g6AyvU/SjM2BjyGL03S1tJCwdJlVV8c1VC62bfb9SsO55FpYqsyRF5MUGW/vTzBkwfuHM1xN8POdERdPPHanYcwvtgaIouA/3emzPfK42ND4m7t9oizHUis7sq8vuiSF4OZSnf/+6ytkSEiyyjdXXbbHIaO4ijVWyoKtYYihFdzvz2jZGklWkOU5RZ4yihLKosBSoX5iqVY3ZaQy46UFF0WRQZZ4ZcFkrWGyfBIZa+kKjirYHEXYqoQuF3RdnQVLoUDhcq/GZBZxOI3YcGV+/nDGK4s1aprAUFUudh36Xsp6w8QrJJqGjCwkWoZMs2bScWus1C2udmv0gwhbhXvjgpfbJpv9CEkIojil69psT+E7F1zirKQkB6nE1iTquqDj6gwSiRsdiyiHIClwlJKmKVEIlYvdBheaBu8fRWwOplxuarx/GLHaNPjzq13uDEIapsKtoxmqqvFgEDKLQtI8ZxwmyBKEcYEpCyxNpR9kfG2pxiRM+NnWkGtdk4dDn0tNk59sD7nesxFCUEqChqkgSRJNU2bgZQhK7vY9vChFlyUGXkLHVnnnYMYsjJGKgt1p5W5xtWvy9t6Ul3ouR0HCH260uNixOfBTbF3F0DVURcEyqvGz7GinHs/BycLNUCRGYcowyFiuVamAqirz+lqTO6OI711o8XAcVprbJKOhy48s7h6XHZwdn3Md/ME0/Ew2iE/SWp7d9v4y8NtUHX7R8FVoUr+qiurjz/O4TvxFwjnRPcc5viBepIn/WSyCntbYcHZymnvn7s7i06CIynosp+vop8ecvVHneYGhVElQPUc/ffysNEKWxamGd3sSESQ5hiLoOTpRVhKkOVB1p0dJgilKfrk9xlEltseVNrZraby5P2UWxhxMg6qhKMwYBglenHIwi/gvD4Zcblss1S02xwnrTYvrLbPSCqsy7x5OWKnpZEXB+4dTXF2w5GpsTxJWXIO6YVAzFCZRpZ/cn2W0DRWZkgLB37/eYxCWXF9w8NICJIGgICvAUDU0RWOWFlzv1ujYGm3HwDFNRmHGoiMzjlI+PA54ua0xi0uuLtZpWTqKZvDNVYeHw5BSKlGEYBCVfPdig7SEb11sc3WxgW2o3Fh0+PXuhHVH49BLMBQJTVUZ+jHfWHGpmxqubXC55eBaMhfaFpZpVGlnusS9fkASx7zU1fjJlsfVhswkzMkKCV2AqatEucy1tsl7h1PSLGcYRLx94OMlBRQFWQmykCjyFE0RvLU3QZdybEXi9rHPy0t1xnFG21S4PwxZcyQ2RxlCKk7cNnRaNYMIwcWWxTdWXX7+cEKeZfS9kF/vevzDmwvsBSX/wzeW2RlFCKmkoVduGaMgo2Fq5FKBBBx7IXf7Hg1DIUViqW6y6GhsjxNeWnZQFZW/uL7A321NuNQ2uT/yudZ18JOcW0ceZZbRn/ncPvZYdFTiNEcIQXoyLtYbJmkpseSaRFlJp6bRdbRTV5GeoyPLgr+42uWN3cnp2LE1heGJb/STLMGeND63JxEtQ30kHOKTxjjwVK0lfDnazhfJo/W3EV+FJvWr0r0+blX5Wb3pv0qcE91znOML4EWa+D9thT2flJ6lsWH+2ON+uhfbNoMwfYTEzv+V5Wp7tDhxZzj7OvKiii/1k5ydSUyaZqRpdmKSn+InGYcn5vmH04ilmoqmKAzjgj+93GZvEtEwFFRFoefqmKqMqVQ/O7pKURQ0jYpcWargQl3nwSggy0r+0UuLuKbO1jTh22ttGoaCJgkeTkKmUYquCMZhiiSBIgRCKug4Gn4C3ZrC0TRmvWmx0LRRFJn1lsUbux7/t9dW2BxEfP9Si/cPJhz7MUmScDwL8ZOELEu5OwgwVJUSwUpdo2lppIVgGuUsuxpeIfOD6z2WayaWJtE2JP7z/TFrruDD4xBbhfWWyebAp+doeHGGRIGtCH69M2G1rvHW/oyWXvKgH7LV91myFX68OeBwVjVUyapCz9Z4bdXBS3K+tuzw7lHIy8sOrmNRcyx+cLXD/WnB9a5Jx1aZplBTJXRVYnpit3U0C5n4MX4U8aDvM/JD9kdTZFmm4xjYuspaqwaSxPvHAWt1nYEX0rYt2jWDl3o1TMvgpeUGHdNAyHB/4CGTEcUpHxxPudsPWK8b/HRrhCoJaprE1ijgL2/0uHUU0rQ12qbOLMnpBxl/sOqyOQz57kaLflhwtW2zNQq5Pwx4fbWBpihoiuBKS+fD44A/2mjw4/t9epbM5rFHQ1e4OwhomSorrk6Ql/hJwVJNZ3caUzdUXF1w7CUYsuDWkcdaw+D9w1kVjT2PwdaqHYe5ROfhSZLfPP4XqubLeSLgvOFzrt31k+wkTOVkLJaV9jeFj0mHnjZm52PwiwQ3fNo89tvuXvAi4Kt4776qz+djxYxn1It/1ffMc6J7jt8pfNWE80Wa+B9fYZ8lm2ddFubHPu21P83ayI+rRpuVmn4qZ3j8+aGKTh0E6enrmDevjeMcQ5GoazKjKKtuypqMoUgcTCOWHI3NUcSCa5AWEo6u8qeXO7iGxsNJhKFIXG1bHHgpLVNByBIbTRtLkymBIIUfXF2g5VhIikLLUOnWVP7m7jG2LPHqksOeF5OWEnFZIBUlliII0pKLTYtZXHC5YyIho8rgJwlbw4iaqRCGGUM/w5QltgYzFhyZ/+Nen7+8ucC/ee+Iy20TRYK0KLFNjaGfMPRjkjjlYBqQZBnHs5gDL2Ka5Cya8GDos1w3uNx16dR04rwkKQtudg1+sjXjSscgSEreO/BZcjXSPGdvGpNlObcHIR1LI84yXFNla5IwDSNsTeKdwxBNSExmE97dm9HQJbquydEs47Vlh/98b8QPLjZ4/yBgo65yNItJ0oSXew6OZRHnsFZX2fUyvr5cI0pKrvZcGqaGn8tcbNtc6tUoJcHlrktJtWBqaAqKLDCkkiIv2Ox77E1irrRM0gy+vuLy9eUW316rk1HS0HXW6gZ7kxg/yZGLjN1xwDsHE24s2PhZSVrC/iTizZ0xjlaSFgVvH0wxROW08ZOHYy62TDZHAd+70OSHdwY0TMHtoym/2hnTsTVcUyeTJK60bd7anwGgKArduoVtqLzcs9n3EsSJM8ery3XCJOflRZdCEmSFhKFIHHsxuiLxxs6Yiw2d7XGEa2r4SQ4lp0EpQLVDURT0TnY/AFxDO21EmzdtyidjpW1pJ9r2KlXtSc1Bc6nQPIXtaXPAJ80Pn4RnJSAvwlx3jkfxIhRaPkvz5Fd9zzwnuuf4ncFvqrr6PAfsZ90KeuS1nFSbjmYRDV35mEfu48d/zIVBVz5WlbU1hd1ZXNkiPamqpCnIslSFQ5zx721b2qk8QZaliix1HBZPOs4XXYOjIOPbq3U2+z6HswhHkdgc+Lx/OOP1xRp3BwE705gszTiaVn+Lpcmn2mGo3CLWazo1VeCaCg9HEQs1HT8vud0PEUXB1mAGZYmmyLy9N+Xry3X8tGClrtMwDNo1g6GfEUYRHVvhzpGHIudIFKRFiaGqTOMCR1V4Y3fC6ysOaV5iGSZ/eKFDQ6viYoWQKUrQZIjygnf2JizYAlEUHMcSqpCp64LDWUR/FmEqgl7NIS4ENxdqPBjFTKKMi67g3YOQNBdc61Ra5I4pMwwzChRMucRSVGoG3BlVHrLbk5iskFAUGddQMVWFv7je40E/4vuXmrx7FLBSN/j19piupfCTzSHWyXchSnPu9X0uNVXe3A/477+5xiiq4pcv1jUUTWOpZvD9K132ZykXmxZFURJT0qsZeAU0DJVBlLLq6vxyd8L1rsUvtsf0gxQvybjStogLaDkGX1tpst6u/u6lusGCY5AV0HF0FKBnyRz7CaaikmQwDhIGQYYuJBqmzMEkRCrh3sDj5QWLDw8DFKnkaBqwPwloGAqGLPNgFBCnKZMwRgjB1Y5Dr2bw8+0xLUNhfxzQNWU2RxFNS+HWkcdGXef4ZKdhGFWhG2sNk0M/4+Ul91R7OwwzXFM7dWKwdQXX0B7Z1j07Ro68+PTntqUyCBIutm3GJzKHtqU9Yvd3dlx+UvzvF8HzIiAvAgn7XcaLtKv4rPiqF0vnRPccvzN4kaqrXwaedQJ7kmRh7n8719qO44/cEz7JGPzsTfVj1z1TrXqSPGL+vPMb/Efa3DNSCVl6ooywbVWuCneHIQ1LwVZlJifpUi8t1Nj2EzaaNl6ckhQZ+16lHY6ykvWmyTTJud5zqBkqhRAs1C1cU2e5bpKmOTsjH1kqudufUpYlpqIwjKoK5/9x+5jrPYeHA593D2dcblqUEjQdk7hU+Ic3eoyjEluXMTWFrqMx9hNGYcA0TJjFBUJW+L+/tszWKMI2BUKUOLqMZcggCSQEf36tw1v7MTeWXHS5clc48lJmUYqfpkRJRklJTa+8XGuKhK7JbI5jVuoqeZHyy+0pGy2Le8czbKVkZxRi6xo1WycqVK7WBX+3NaSpg1cIGjpMo5w/vtRmaxTz8nKdN/c9HE2Q5zlrbYvtScKlls5/ujtgHEbYIiVD4f4goqnBT7dGXO9YWLqKJFeBHjcXHD449Ph7lxscejGuqbJgq6R5wcsLDkgSN7sOYQ5/dqXND+8MkMuEvdGMvpfwb97ZQ6byq9VkAQUnlncFrqkgRFXpD/OSGJV/eL1HjkTfj1h1ZUZRzkLd5hurLVqOweWOQ5pXTZHfudimWzPIy2pBlZYSnZpBx1LZHkeYJw2JXpTy9t6EJUfh7jBgwTWYJgXXug4ATUPh/ihkrVlpq1ddHT/NsTSZCy3rI+1tkLJWNyrpQv6RbOfxbV2odOxHXowhV3HYj3uYzptB58fP0wjn+Cp0l18mfhtJ2G8jfhvue7/J78A50T3H7xRe9MH+WfCsxP1JTQHzKupZL1x4+o3H1p+csnRWN/jIDVertljnz3X2umetx+bHwEdEOUxyNgf+R2ETScYgSPCTjOsdmyQrESfhFIZSEYKOqVWd7kKQFxJfX66zM4250XMYBhk3eg5v71e6yZZVBRF07KqymgJdR0UqJdabDjVdQ8iCtYbBnUHEf/vKIv/Lu4doSklNg3/59g4tS8HRNb6zVmcYZdQtjTQ94SQSdByN/VHExVYVPfzyQo1/f+uYZVclz6FtGWQ5BGHGSt1irWHwwztD/vxKnff3fVZrlU9r9Zkl9L2Uum2iyRIXWhaSJFioG1xr27RsE0fXiNKCNVfhTj9iuVVjf5bSseDdwzHLtsr1ns1BKHh1qWquWq2bKLKCpkr89e0+NQ1+ePsIOYt4b39CVkhoisJi3eTD4wCdhKGfUqomS47G4TRkEiZIZcHDccSFlsE4hkVH4dahx7c2mrxzGPDdSx2W6zaqKrPi6kzjkutLdRbqNl9fbXA4S/n+lRZ9v6RmaLy1OwGp5G/v9xGUPBgGOHqVDmaqEnf7AVJRcDQNUKVqm/84TCiBP1hr8GCUsuRqXO/a7EwiVuomt448Vl0DIUmkeUnLNrjStvjRvQFf6znEeUk/SHh10SEpShRgHMUM/BgvKbnWdRBCcLNXo+foqIpCSdV8JoRgvWkyDDMutKxTv9z5d3OxbhLllS800pNJx+nPUqXnjfPKtcGQxUkE8KPj7siLWalVOyDPwyf3qyIdv2vFhxcNj+8W/CbxSd+ppzVAf1V4Md6hc5zjHE/EZzWNP7u9+bQb7pOshs6GSjxCmM/oBmUhTiu18+CHOTkGGATJ6fWOZhFJVjXbzB+vjMlL/DRn0dYYBlkVAxxVVc35Tb8EpmGMKioSVOQFuioxDBJ6rs6Fdg0hBFeaJm/sTlhrGPz7Dw5ZtVXe3JtW28dlJWsYBAmLroVr6NQsjZql46cp0yBGULDRtvgvD4b8j99c5u4g4uE44fWVGvvjiNWmSZCVKJKgLAskKWdv5BNnBY6h8d3LHeJS4VLH4e39CYqAKMkxNIU4L9GVEtdSud33OZwlfGvF4Z19j6tdi2ECl5sG26MQL0wR5GwOArw448hL+M7FNg3T4ChI+e5Gk3GQstSw2ZmldE0IkwRdlXk4SVivG0yzgiSHriUjFI1LbZuNtk1ZlGwNfPIs5d++s0fPUXn7KKRnaxxOPPpBgiVL5BRMwgxNSKR5QVEW1FQJL4NSEqy4Ou8eBFxyq+hc11SZBhmuLng4CsjLElvVOQ5iGrrAVgWqgKEXMwkrz9tXVurkBfRqKseTiAtNg0M/4b++2aPvZ3x9xeXBwGeppqGqMoZmMItKHA22hwGaKPi7B2M6NR1Thf/wwRGWUvLju30utQze2JugK9Vrvd8P+NH9PlfaJm8dTNFliStti0M/p1ezWGtZPBjFfP1Eh9tz9NMkvyMvrrTjQuAnOX0/IYhz1upGpT0/kRa8sTuhocunXtOyEKfBD0ez6JHI7fnYm0sbaoaKa1R63bMNn3MisN4w2Z3Fj2h8n4ZPalA7O77P/v8XrbJ+lnN/30nu8yR2L8pC4tO+U8/SAP08cR4Y8RjOAyPO8buOxw3kn2Yo78fZR3KFJ+gC59Xb+aQ1r87OU9Om4UnK1EnAxPy4aZiwM43p2BqqBMd+jKurpyEQB9OQPC+ZJDkbTRNbU3j/cEaW5riWRstSGAYZhiJhaTJv789YsVV+vT/htZUmjqGSFwX3BgFLlsztQYCuyiw7Bm/sjVirmxz7CY6uUjcULF3lr28d8UrP5DjMGPgpNV3G1GTWGyaHXkxdU3lzf0qZZ6RFyaWuyyyKSQuJiZ8QZhGOZnDox7y+2kSR4WcPhsyijJsLDpOwqlo7hkYYhRi6jkSBpSlsjSLiNMdSIMlLOo7OLC5YqOvYisy/f/+QP7/WQRKC7VHI7jSgaWjsjAJMOSdFZaluMglTvMDHcWpcaWqkyAhKDqY+W6OQK50a7x1MeXWxxoeDAEeRqRsKWVlysW1xHBQYckndUNieJMhSyYJrECTZSdXcZHMYY6gq39lo8NcfHtE2ZdJS4vWVOpujEEWGlqmjqSqaIiiLjF9vD2mYCksNl6W6znv7M0xVkOTw/UtN7g4jvrbkcn/gE8Qpt4+mNC2dBdegYciMo5w4K3g48Ljes9mdxmQ5/MnVHg8GHl1HJ0gLvr3a4Nd7k8rLWINxkGIaOld7LkVRcOd4SsdWmYQZRSnRsVXirOTmgouQBWmWsTeNqWkyflay4ur0/YTFmsrBLMXRVdYaxiMV3WMvpmaopzscc5KbpBkgMYnz03PsE528elL1lWWBccZuz0+y0wCJOR4fp09rHB0EyVO1u08KpnjStT7v/HGOp+Orfq++yOf6VT33l/kan5WvnRPdx3BOdM/xu4jHJ5dP+xk+amI7q+89e/zZNLT5TTw/0QXPK1fw8Zv1wTTE0mQoYRhmWJqMrcmPyCuOvJi2WXmIyrLgYBoRpQlRLqhpAglQlUqiYKkydwYBYZrzcs9hdxrRNBQO/JS8KLBUGahiiV9dqHF7GGCcPKZQ8uDES/X/vDvkxoJNlpfoMoyijKW6RdvSEEIwDBJ+tnlEWUJWCi60dCZBRilJzMKEAjBFSZCX7EwirnVsdqchrq5x7Ecs13SCTGJ76PG1lSaDIKWmC3ZHAYYq8JOCnq3xwbHPtbbG/XGKo8o0TDiYFby22uK9nT6KLLMzS6grGfteTs8xqup1lCKKFMsw0YXg5lKNQZBy59hDKUsGfsrr6zV+vePTq6mEaUby/2fvP5sky9LrXPA5WroWoSMzUlRWlu6q1t0A0UQ3aBT3XjMaQM5cmxkbmzGC/wAw/II28B8A+DQ2NjZ2yf5wZ8jL4WU3AUK2ri5dlVqEjnDtR8v5cMK9PKIisiKzMiuzumNZhkWkH+nue++z9rvXu94s58WFKlGcoEoSiBkjJyHJMxolnaGf0NJFfES2BwGrVZVxEPPBrsdiScLLJL6yXGEY55iywEbfY6lqUjUUvrRU5T99uAdxhKYraIqKrUkYkgAC1CyVkRejqxLfPF/nnW2HKEr41WaHtm1StzRSCimHrYqM/IS3t8dEccxKTcdLBF5bLLEzDLANlYEXcb5m0i7r3Ox6ZFlGDiyWiqioIstsDH3EPGUQJNTNwpHhStPiWsdFkwQ2hz6ikLNWs4kPLL4+2B2zXNbgIOFREsVDlf10SeRu32OlUvhMrzWsaXGJhqkcWIfl06pohVVccU9plhEk2TTKNVkpOdovjyNMs9tOIg6nIcKPgqdJqL5o+Dw+q0kQ4dd9AnL0szyrjHaGM5wBOH5Z6SQN4ayGapLENqvNnd3/6FJUu6QXBSEOoleTaPDRgbdlFdpDBKgb8kGVqcNJb21bI0gzvCjFUmVKuoIXF/KHYVCQYwBTkfDilJom83zT4Hbfx5QlbvWKDPoozTEUCTeMudKy+PF6H0UScFyP7d6Yv7yxz6WmyY/vDvjKckGadEViz014baFKGKc4YYwuCURJgiLJjIKYui7w/rZD1ZQRBPjyap1vXWwT5SI9P+HLiza3Oi6LZQMvzrjStNnzYoI4Zd5W+NV6n7ou8N7WAC8MGbghC2WdGJHnGip/d2fEallBEgT2xgmXmgabA4dmSeHa7oi6LhChUrU0NFWi5wTMmRqmbnKlZRGnCbf3XJI0pqIIuHHCXFnlRi/m//jGEgtVnfmSwVrFYH8csjv0iNIEAZm5qkmSg6kqhEnGnp9S1lT+xYtzxLnEtptwrqYyCHNemK+gayqXmhbbQx9NgmFQSFb+f9f2eb5l4mc5t7o+TV2g43h8uDckQ2QcJPT9GFMR+F9+tc1qVWd9FPK1cy1kRaFuqTT1QiurqyrnmyXmSkUU/nYn4Jvnq9zu+QiiQJwk2KqIlxQFHp5r2dRNlTlbYXscIgkiLVvl22sNFFnmctPGVhVemCtxreMiknKz47Bg69QtA0WRWKkUFc1eX6oQpDnSgW68YarTKCkUCWMtS2VrHB0qELHWsJBEkSDJWSppUy37atWY9qHJ6sckafO4fna0v53UpyevH9dPT1qReVTN5K8rkXoS+DxI7kSn++tOctP0k5X/ToMzonuGM3wB8Fk0TQ9jFj+bNQ5F0tlJg8tRL96JzyfMlAse+Z84bqJLLOtqEcGyNa7tH1NmOErRFIE9JyTLMqq6zPbIQxMFdpyY59s2QZozXzaYq+iMgoyVqoETxtRNla1xSFmR2Bj6GLLEh7tjvrpcIYhTclHCS3O+ea7Cz9fHXKwb3BmE+HHCKIiomxLv7Y1RRYEsy/jfr+3RGfvIkkCW5dwb+Ly4YDPwEhZLCgM/4l7P5VzdoGWpbDsZl+cqLFdNlqs6v9ocUdVlaqZC10v40lKJO10fS1VQJJVukFG3ZPpuwIe7PhcaBu9sjLBVkYatMfIT1uoW7217vHGuhiTAwAup6yJ+mFAzFfwk5TuXm+yMI0QBLF0gzQRSQUICsjTl1XmDD/Y9FssWuqZSszVud8YMgiLye6lh0fMivrZS4r9d2ycOPO51HYZewN/c7iKJApcaOt0QXluqYKsy6wOH2/sOoghRJqDLIjvjAJGEd7YGhHHCdy7W+fnGiCiFVxfKdJyAIIwhz/n5+pA8DflffnWfpiHwzvaYr69W2XNCbvUc3lrvo4sC720PqWoiG8OA5xds3t4a842VOosVA0WWiXOBtq3jRSmKUCxU7jkxz7VscuFgQhYlLFcNdt2Yhq1O29ZmP0CTBLwkoWkVbXgSwe160XQyNiGlR/XpliZzvm5+YvJnaQXh3RyHhxwVZvvixLavSGhTH9jXZ8nt0Wsd9c6e7afH9vWsKDF83DGfhjMXhc+Ox/UZzrapx0VyT3LmeeoQHu2wM6J7hjM8JTyMR+5nFfCfZgCcJJlNIrJw4JTwKYPLbNRpYmbfLulsjSNatoYbFQ/hibRhQpwn+60PAtaqGjvDghRPjrNUCUkoikq0LI1RlNE0NHIBLjdNPtpz0CXhwKYppWmrvLM1pGrKiKJI2dBAyFm0NcIs53cut7jVD7jUtDnXKPGVc022nZi5UmHdtTUMuNgwud8PUUWBJE1RpYJ4SaTsORFpllPWVZqWznKtxMV2mUGQsz0KkISU97ZH6KJIBnxlucwwzJBFuFjXCOOssN9arJEJMit1k4WSTM+P+Pa5Cv/p/T1KckaSpdzp+jy/YLHvxZiqjKbI3O97fO1cmR0nQVNUzjVMen7CS4tVZEXlYsPgrc0RSZLRshXcKEcEKqpIq2IQ5AIdN4Es4e9ublOScv7LtQ5NLWfHDVkoabhJxv/ly+f423su/+q1BTbdjIalcrPr4gYRURKx0Y+Yt2RkSeLtrT5JGHKr45CmYGuFDAVBRJNE5soG8xWTG92Af/2leWqawo6T8Xzbxk9zMgSWqyaGqjBfMrnR9Xl1ocz1josmi+w5AZ2xy9/f7WLI8N6Ox+W2zf444tWFEneGPgsVk6WKQdtUudFxyLKMm10PP0q52DAJkpyWpbI+KOQE13bGCHnK/ihkdxygiQJlQyVMc0oHVfaqqsRbW6MD3XlKwyisyWbJxDR5U5UPJWoeJbN3ui6rVeOQdd8h5Ez1vcclis72s1lyO/va9JwPECIeXdEJkuxgdeXhooBnlmGfHY/7M3ycBPe4e3sWvvPpCsgjvNczonuGMzwFPMzA8Xlm1s4+yCcR2ocp7TiJSLlhMs1S1yWRnaE/dVWYyBom+724UGYc55QMBV0SqRtFdAuYJuqsDwO+db5OxVK51CodWI8J/HKjz+3OmKEb8lc397lY0/nvt3poksByRUMURWIEXl+q8rP7A1qWwrWdAYqQk2UZZU1CFkTGEfz2Wp09L+WbazXuDkKuNEt4KQfRZ5mKoaFIAh2vKCiwM/LRhIyPdvtEUcbbG0MuNG1GccqVlsXf3enTtjUqhs65VoVzjTItWyFMElZqOu2SzvY44V+8OM+1TsD/9NI8W07GYsngWxcqXOtEfO18DQEJVYKyofLRrkddF9EUAVuWWCrriKJIzZS50/Hwg5AkS9gcZ7yyXEORRbIcFGChpBGECff7AYvl4nP65rLFfSflq8sNNEXGjzJ+ut7jy8s2P7rR4eWFMpoiU1NFwjglQ6ZhyqzUTN7bcXhxzuJaN6ZqyHhRQprlZHlOzVSwNJWOl/D6coXzdYO/vzOiYcu4UcStjoMTJNSMwkIuFyQEUeRrqxU+2BuhSuCFCaoss1o3caIUL4xp2Rq6ImFrIj9bH/Ji28aLUu70PPphTNsupB2aJKDKAn2/6F/3Bz4VTWRvFJDkKXGSM4qLZMeSoSBKIt9aqdEPEkq6wpYTMW8p7BwUJtkaR4WU4Zjl/vSgrR5XkGVSSfDv7/bQpRNs/Q7sxSbHf1qE9eh4MKvTPa6i2qRvHh1vJlKjh9XuPiuZ/l9kPIuf4YMkEM/K/T7q9c+S0Y7gLBntDJ8XPi2J5EkMKg973tn9T5v8Mk1MyzLKujrNUJ8s+U62AZAzfdjOJvCsDwIWbfUgslcknMV5kZg0uYf3tofEaUKU5ARpzqKt8x8/2OafPT/H9jigbGrM2wolTeFG10MXMq53XeZKGppSLDn3Rh4lU6XjxqxUdT7aG5OmKRVdQRJF6rbO4GDpOs0Fhk7I1tghziX+xdUF/vutfZI0ouMmzNkqbgzn6xo3Oj6GmCOIAn6S8dpSHQAniAnSlPVBADnkxAz9nC+v1ljvutiGQpQK3O6MeG2pxLV9l7ZtYisCv9oa0TIltoc+a80S/TBjqaRyp+dhSjnjCPbckP2xxx98aZUwydnoO1iGghtmSEJG34mQZAEvFnhp3uatzRHnKioRIhVNxFRFNochG32PC1WD7SBltWowcEMMRaJkqpRVmTs9jzlL4r0dl+fbFtujCFXM8FI437Ahy1gfBHzzQp23txy+vlLhziDAjxJMVcCLcqqmQp6JLNY0xn5MWZe41494fanErZ6HpUrM2QZRlqNIAmmcUitpfLjroJJTtRSyXKBd0mgaMrf7AaIo0jYV9ryYC3WTmx2Hii6jKxKKLLM19LFVkTDNeWW+xDDMaNnq1NnjSsuCvJDX7B6Q3KatTtt3kOQ4fsy5ujkt5pBmGV0vpqpJxAdP09kJ4vvbIxZtlV4QM182DuvhD5wW7g98VqsGXS+aOjEc7WsPckeZJJw9aGJ6lkB2hlmc5OLxRWojZ64Lj4gzonuGp42HtaSZ9el8nOc9emyaZlMd4YPOMdUKRsmU6AKHbMYm5CDNMtq2xvogQBGLpeOeXxSA+Pu7PZbKGm6UIuRgaBICMF82puR5fRBgqhJZlvH21pBLNZ2/vjvgm+erJFlBkIM0p2mp7Ax8ZEXCCWNWqgZCDn95c4/liknbUvj5xpDzVZ0P90aUDRVDkUnTFFkScKOMF+fKvLU9Ymvo88+uznGn52FpCjsjjygFS4Ghn1I2ZPIc9schHTdktapxvePz4rzNja5PnudUVbje8TEVEHOB11ab3O17aJJAngss13TeXB+wWjOpWyr/cLvLV1bK/PB6l3lbpV0xUMWcj/Zclssqt/s+sijheh6CkFMvl6mZKhIJ7++4NCwFCYFxlGKIGSkyqiJOSV7FUBmHGX4YsO/FKALc7Aa8sVTi7iCgpEpUTYWtYUBVl7F0jbEfYGsKMSJztsbOyKNuSoxDAVFI6Y19xmHG8/NV7nYdXl0uMwqgYkgYioSQC8R5iqYoSEJGzy0i3WEKFVVm3wtolwwsTaEqCbzfdakZCqKQszMMSHJ4falKjEDfi6joMm4Ysz7wWCobjKOUuiFxfxBwsWEzChMu1DXe23Z5eamKH6c0TRVTKxIby/rHhHbPCdFlgSDJpw4JbpQw9mNkKWfPTYsktQMpgRsljIK4WGmQBIL0Y5cFmCnje6QPTEh1u6R/YiL5ME4Lp5mEnuEwfpM/q18Xi7gz14UznOELiodZJpo8MI8mjJ2UPDbR0D4K3Cj5OEP8AeeYaKkmfqMKMA7iQ9rcIttcom1rdL2YuinjRemU5H605/ByuyjFOl/WsQ0FgWJZd88Jp2T7fN2kbWuYqsSVdplumPHV1RrjMMOUi0S0tiEzDmLaZQ0/TqlpCl034hcbA757qUmU5URZzj++3GQYZTzXLtMu6ZT14j1ujUIu1G1udh3EPON8VeNH1/fRxZyb+2OSJONC3eD6nkfFkOi6CRVV4nLb5rcvzzGOBBqGxF9f34c0Ik8T3txyeWO5hhuLXGzbfLjnYMjwwfaQJI35h9sdWpbCwA94Z73PxYbB//reDislmTSJ8eKUjYFPWREZhik1XcZWROpliyBTyNIMQ8z4yd0RZCkkKYMo41LTYNfPyciw5Aw3ynCijDDJGAURXT9BJuNeP2C5JPPBvosmZghCzpsbY0hjru+NubU/KginE2GKKZ2xiy6L3OuFLFc1qoaOpauUDIVxGLJQ1rjXD1mpazRtnYutEr0goWWpRWEJL8ENQoZekRBo6DJRmhMnCZoo8HfrfS40LOZKGk6QoCgSry9XudVzKCsSopATJQleGGMpEnf7LhebNn4CF5s2iiLz9XN17g5ivr7WIEzzKcnteQmWMiMDiJJCo7s5nFrcWZqMpRZV5JwIvrJa+zgJ82DS5Ucpe+OAcRCTzcgP9sYBliqjyyKjIDrUB2alA7NShMnv45aQJyRlVipx9NgzPBjPgub0aeJhnzFfdJwR3TOc4RnEaR9Ysw/Mo0ucx1kPfVpW92nu6Wgk6aTzNcwiWrjlRJR05ZB+cNYcv21rSKLIXFmfZq6fr5sMorRY6lVlGqaCKIqUdKWwHjuIpKVZxt2eB8BKRS8ijGmCF6fkAlysm+z5he5ycxTSMmTe2x3ghDGXGiY/vNllrqRRNoqyr1fniqpr52sWoigiiAJfW62z70U81y4jyyL9IMHWJN7eGtMwZXpeyP/rF/coq/DOZh9dyvnx/R5BnGKrIhebJposs9KwEEUFN8l4fcnig70RLy9Y/HJ9RNuS2RuHmIrIOzsu87ZKlhcaU1HM+XDP5Y3lCv0wQ9c14jglSSElRxBEMgRaZZUwyRBJGQcxv1jvcbGuUzNVdgL4vcsNNoYxL88ZVHSZYSRwv+fgBiHvbvTZH7uM/ZCBn7Fc0QjTnHNVg7Khc38Q8LXlIiJd0lU0KWfXyzhfM1gfRSBA1wmJkoT1vsOFpompabwwXyFIIEJgrWHSGwdYqsBP73a5UFf5xeaIqqHgBRFhmvPW9piLDYNxUEhBwiRje+Qzb8n89F6fYZDQKmmcr5lc77hcnStxreOwUjbp+ynnWxXaFYtLTYswzbnUsPGjlKWShhunfHWlSseNqGhiMVkYhmRpNtWOQ6Fdvdn3+cpShWsdd0oqdVnkbs9jpXo4+towVbpejKFK1AyZYZTROogCT7yoCy/dwxZip8mSP277ZMI6q+s9w8PhWdGcPk2cZgXwNFX3vgh4ZqQL/+7f/Ttef/11vvvd735i249+9CN++MMfcvHiRQaDAQB/9Ed/dOx5Hmbf43AmXXh28Zu81PRpOGkp89P2exDudN2p+f3s0ursuUZBdCjrfJYAQEFoFQF6XpFIJEnilOR2vWhaCW2+bExLr050j26YUDaK5eT0gIwA03vSZfHAzF9n24k4VzO41/cZOAG2LlM2tIPEtpw4TnHjhLtdj7WGya4bM/ZDZElAQ0A3VGxNYeAGeHECgoStiAy8CEESOVcxuDf0ccOYnXFInKQsV0yCLGdz4EKasDmOeH2lzvvbI768UuLDXZ+vrFTYGIbEWYooCJiqTNcNud93udKqcGN/iCoKKErhYrAzdKmqEvdGEWsNC0XMubnv0jQVNFWmZRtsDooyxEGcIIgSV+Yshl5MnAloMlzbGVAyDC42S2wNPEQZLlRN3t4eHSSNZby8VOOX9/uUlZQP90PeWKnixzG7B569N7sBazUVQ1W4vu/yYsvkJxsjrrYMtp0UKYtolE2iKGGlbnGn59OwNZIkxpQV6mWTBUvmZ/f73Nof8tx8maphYCoiTpTz8oLBD6/t8cpClXvDCImEfTeiYalUdJ1/fLmNE8Vc23VYqpn89+vbvL5UxUly5ks6iiTghTH7bszzcyU+3B3ztZUqUQ6qLBNGEW4CVU2mrIs4ceG5bKoSTlCUmfbjlDTNiLOEumFwoWUfktnsOSEAuiQctNuUqibR9WPKujLtE/BxwZSxH08r/M26LrRt7RP946T+etw+x8mTjqt4doYzfFZM2lqaZnBQxe9xFht5nPhCSRcGgwF//Md/PCWms/jBD37An/3Zn/Gnf/qn/OEf/iF/9Ed/xOuvv873vve9z7TvGb5Y+E1aanrYKM1xn81JD74H6WpncafrMm8q/Px+n+rBQ3yWwM7e4+RBOyGfk99QRMfiHOYrxtRBYUJy2yWdPSekokn8cmNAnCQM3Ag3Sgorp5no1/owQBGKpez3t0foUqHPPVczuNl1kYWcOx0XRcjpeBGtUlEtbOLTK0kCkihyqWUjiSKLtkbVVDFUFT+HpqGSpRk744CRFyORc6s7xjkoaTwI44KQ2zqiIKCIArIs0rJUztdtBEnm9ZU6UQr/7GqLv7rZ5+qcxfu7Lu2SjB9mmKrEWxsDFElgsaST5DmWqrDvp8RxynNtm+Waxf1RzFeWbMIkZXsYY8kCKQINU0dXFRRJQBJyZEnmfM1kFMKFeokrczbjIKVhFXKO212X5apGFKa8uTnEjRJu7w4oqwK7o4Cvr1Z4Z9vje5frBGnGMEix5YSf3O0zb8D7uy5/c7PHV5ZL/MO9IS1LRRAE3lgpIysqIrBYsdhxYl5o2yyUdUqGydWFMroocKfvc73rs1zW2BzE1C31QGJi8LN1h4vNMjc7LrYCiiRjKDKyINKwZAxV4lbXo2kK/MOdLt8+X+fdHYflisZ8SWMUJKiSgCaK9L2IKy2LD/Zd5m2dczWDfTdmtaxhqBL7XkqWZQRRzN44QDuQ1Vxtl1AUmZppIB5MwKIkYavvMfIjvCg9sBkbHnjoFslm5YMS07Pt3A0LWY+pStPXJq83TIU0zQ71oUMFUmb+PytLmEh9Jvr4o24MU3uzz0ByHzSe/iaMtWc4jFnnhYnV5LNKch8GzwTR/fM///NjXx8MBvybf/Nv+Iu/+ItDr3/3u9+l1+sdOu5h9j3DFw+/zktNsw+UyVLnw5Ddz/rZHH3QArRtjR0v5iurtWkJ4Ike+E7XLe7RCbGUQrs4WcK9P/A/oeOdGOXP3utk8GzbGh/se7y2WKbvJ0iigBulKALTCG6aZtQNmWGYESaFLdjdfrGE3POKAgBCLuAlKbc6Ds+1LH65PiCOE+50i0IUJV1hvqzTtFVsXaHjF9ntmiSgSQJukuJGMQgQ5TnjMIEcdscBcZJwY99ltarxUcdl3tYOPF4jpDwlTlMERAy5qND143tDfmutRseJudgyGYU5F9oW72+Peb5lcLvjoSsKbpShyDkDJ6BVUvlgx2G5pPHtSw1+ue1jKiIrdQ03yamYKnNllTzPqOgKgiDSshQ6TkBJFrndc+m5CfMVja1RwO2ug+eM+Ztb+8RZzsAP0USBhaqNnwlUDYX7Q5/vXGnzt/fGNE0FUxTYGKW8MG/z9raLCDxXy/l/vrnFq8sWUhbiJTn3+yEX6zqiKLFUN3lhvsz1zpg9J+ZSQ+favsswDNgYuHxt2eJaL+Lra0VhhygDN8q40jJIElipm7hRQsVQqRoK7bLOpWaJ7XHIYknjx/cG/Pb5Kte6If/zGysMg4RRlPGdSy2GUc5vX26iyDLDIOGVhTII4EYpL7bLjKKi1G9Nl1ElgUEQY2sKJbMo7tD1Y5bLhWymcpCQtj2OD2Q2OStVnXf3HF5o2Vzbd6dSnEmbhMNFG6CwgOt68aH2LonioWIQx9mDzRr+TyUOM/7VR/2tZ/v+o+JBwYPfpMDCGT7G0bZ4dEXhceLzbFtPnej+6Ec/OlauAPDv//2/58KFC1Sr1U9s+9f/+l/zZ3/2Z4+07xm+mPh1JbmzD5RJ2d1H8bZ8VEwGN+BQRHaSbX7oXvKCnG6OQ9Ya1lR3O9UNGsrUOmyWOM++z0lUayJ9eHnOZn0QcLVdomQoeFGKJkPHLRLnJvrJ1oHNkyYJWIo0TWIr6woVS6VpqixUDK7vuyyVVd7ZHiIDd3vex3ZmFOe9XLcYRyk9L6JlqtzreeiKxMCLaBwQIycurKeyLEOW4Nqux1rNIMkzBkHMas3go06ALEm8ulDi/V0HW5Y43zAxNIVGSeNSw+ZK02aj5zNf0rjT85kv60RpQt0U2RzEvHGuwu1eyD+6WOf+KKbnRHx50SZOE7ZHEV9draGIEtvjmHGQULd1BEFAViS8KOUXG10WyxobQ5f3tx0uNzTGXsSmm5BnAqYiUtVkvCTHNHTatsrA9djs+9zad1m1Bf7hdo8E+MeXmjhxzjcv1bB1mXuOyD9/rs6tbkTFNhHJWbRlbnd9giRhox8w8BLiMKbruPzXD3dI0wwnzFgoW6wPI87XTe53HT7cHh5400Y4UcblOQs/hpcXy6wPA16eK1HSVGRZZq2m0/dCrs6XeW/P45XFwmqtbirEScJP7vV4ad7mV5tFUlxZlxn6CaJYPNJKpswgSLBk2HcC9tyYF+bLnK+bU3cFJ4gZh0ViX8cN+WjPYaGkTNuJGyWsVA0S4IW50qFEzjDND+03m5g2Kfc7279mo6/HyYeOJpxNCPKkT87u87gIwoMmyL/OgYUzfBKz4/RxlmOPe9Jz3DmfJPF96kT3zTff5PXXXz9223/4D/+Ber1+7LYLFy7w5ptvTuUOD7PvGc7wrOC4B8rTWCqajSadtCRqafJUfjCp9DSb3GapxfZpotjMcuvs+5wOcgf2Y3EOLy6Up76kK1Wdt7YdXp0vcafr0jCUaZTLUCUURT7QQUqkac6+E9G2NZq2iiSKrDVtbFWhXTapWhONb869flFW+FLd4PbA57mWzXxJ4/09h2+t1RhHGc+3S4S5yHLV4nKjSKiar9qsVgwuty1sXWFnHHOxYXKv55IkMUGc4CQpzzdtdtyQOIWGpfPtc01GUcbNnkfbVnDCGE1VadkqJU1FFWXeWK2w0Qt5fs7ir67tIpKAIOClAnMlG0uV2B5HBHHEtZ0h3dGYn9wdcL6mcX3XoR/GGLLI397pc66ksmArbLs5JVOjrMnYqkg/LFwl4jglDEJu7TtsjiIuNg1UWeTeKGapojBfNelHOcsVnVu7HmVVomFprI8ivrZaZbFaomaq/PB6h66f0B97dF2Xe/0xo1TgXj/AS1Jud8ZESYYoFBOEPEu41/O433d4Z2eEKCR0nYA9J+RSXedX6yO+tlLm7R2H8w2LLMv48b0+Vaso+CGS4QcRWZbhRx8nId7ed5CEHEXI6boxKzUDJ4hRgHe2x6xVdd7aGuLFKXOWwo2ON23He05IzZDZGoXookDPi5i3FfpugiiJZFmGd+DpXNIL54WJ/GBCPNO0KKGrwDQh0lLlEyeqx8kWTtsnj0s0fVRicBqJ06dtO8PD4VmKjB+XpDwb4Di6/UlMeh7Urp8EnirR/fM///MHJor94he/4MKFC8dum7x++/bth973DGd4lvCgAeTzHiBnl1NPsig7jhBPB8mDRDP45HLr7PucZI0DU1lEwyw8d+/2PH57rc5P1gdFVFmAfafQ7uqTKJcksu9EbI6CouKVEyKJIk1LLSyrFJnXFssESU7dkHlnZ8SlukGY5Ly76/DaQrHNlCWeb9tsDkOWKwZ+lNIuaQzChHEQ07IUGqbKfMVkx4kRRZHvXKwzisAJUxQZZBH6foqiCBiKSJLGfLg74u/udbnXGWGrAu/uOIiiyEJJ4V7PY75isFy3AJHn5mze2RyRAQM3QsxzGpbK+sBDk1J2xiFplhXJYk7Cck3nziBkqaSiCDk9N+Cb5xp0wpSBH2FIOXVdZt9L0VWJKI7pewmSlPHurktdk1ioGPS8lMstm5WqjihI3O04xHHI7f0R2yOX210XQ0xxgpi+n1A3VX58u4NGzN5wjJOKdN0MWczRSGgaEoEfkSMwDiMkUcTWVXpBznJVQ5MEvCgjzUAWBfIcBkFCu6Tx3o7DYlnlw50hH2wNCOOQ9Z7P+MBurhOkvLhQQRBFWnbhJGEZGg1bJxckfudyC/Hg+//ZRp+1isF7u2OuNEtEac4vN/pYMtzuOOyNA1arBu/vuaxUDUxNwtIUFFlmrlIQVE0WEA+0vJPkyHFQ9IcgyZgvG5QNlfmywc2+z+WGyfvbRcngWW35cf3ns1j8HV19edjx4UyS8PnjODu4hz3+cd/L0cnOgwIck30eN46uYjzJFYSnRnRv3759YgR2gsFgcKwU4eh5HnbfM5zhi4Cn+VCaJMCcdO2jhHg2wWxW4zV7vsnvSUTs/sD/pE5RLfST7+4WPrp3ex7rg4ALVZ39g6peAB/ujZHFYvl4cxTSMBXcKKXjRJhqkV2/Pw7RZIH7A5+qLvPurkOWZTRNiTc3BrTsghDbmkLTUtkY+hiKzOhAz5rk8NHeGCeM+f+8u825ssyt/THXOw5zJY3LTQM3KhKpvnOhxu44YbVuszOKqWgiu0OfzaHHrzaGzJdUsjzj5/eHlFQOSGXCnY7D3b7PYlkmjFOqto6tyzhBiioJ3O5EGLLAtU5ISVPQFRk5T6iZGpap0SrbfO/KPIoqUTN0QGAYFpZr31gtc6ProYiQZDkbg4BzVY33dx12RiGLFZ19N2CtWaJsqlxqGoRpjqWq2LqGKousD2MMTcEJAq7vO3xpucxukDNftVip6lydtzFkmbl6hUbZplGxaJdUTFlicxRAmvLKvMkgyFmqWSyVi4IQuiKjKyK2rqDKEkGckCQ5hiLTLuu4IeRCzmpVZd9L+L3n5tgc+rw2X+Jvb3dZqRiYisRSScNQJIKkKNCwMQppWQq/3OxzqWmjKBK6InGpYfGz9QHmgavH39/t8cZiiY4bESQ5zzUtvKhwYciyQgs+cUqYyAhKRtFWdbmYWE3a7utLFW50D2zHok9Gy47+nl0FOS66dnQ59zhi8qjE4OjKyhmePGbt4J72xOS4djMrV3iaUfwnee2nRnR/8IMf8Pu///uPfPyE1PZ6vce67wSj0ejQTxiGj3KbZzjDI+O0D7Mn9sASPn2XySA5sQqDw1pCXRa503UP6XO7ByV1q6rE+9ujovTvRLsbJXS9mMvNwidVEXNatsqOFx947OakWYYmCQz8BFORWK0ZdL2YLM2YLylsDIuqVhT/6HkRbhSjSgJenHKvF1A1ZO50XZwDjeb6wEfIU7ackHNVC1ES6bgxc6bML+/3uFBT+fH9ITk5V9tlBn7MhzsOyzWDF+bK/N3dARfqKsMg4bfPN7jd9dFUCSdIadsaeSYSxiltS6TrZVi6zP/24TYtE4Z+TNdLD+zDdMZRxu3OkDBJcOKYux0HnZidoUeUQd+PcYKYketzsWGS5BJeGKNLOV4YU1IEFmsGgwi+tlpjfeCTJSklReZud0zVVOmOHX55r4sqiCiiyIvzVQZBykuLNSxDpW5IaIpIksW4YYoqgSlL3OpFfH2lRsvWKOsagiAiiQJDJ0DMI1ZrKj0voWIpKAIgSOyOE/7nN5bo+xn7boAmQRinWIpInOXEacZcSSXKc55v2aS5wEsLJVRJ5HonYK1hsTkOeW2xwo9udfm/vb7Ij+/3qZsqdwYBJUViHBSOClmWsTP0WakU5XRtTeFLSxW6fsLL82U6bsSeE/Jy2+aDfY+rcyVMVeJmzy+KlsQpwFTrO2nHRQGRYgVizwlRhI+dR+4P/EJ6kxQlryck8qgLyYkSnhnSe9RdYTaCexSfJSp8Ftn9fHFah4yjE52TngGf5Xs7SnIfJIV5HO3jtOc4zX5hGH6Cm50GT4XoflaS+3lgZWWFSqUy/fn+97//tG/pDL+BOM3A+LgeWEcH2OOyvI+79t44OLY6GxQSBV0WDi3XWqpMWVfZciIqushW32cURNzpukRxQnZQGlWUREy1yIb3orS4RpbhRyn2gY/puZo5jebNVwwyQeKFuRJelCKKIkGSc7FmIQki2wOfmqZQs1S2RyHrfZc4SXDDmJ4Xsdn3qJsK205Ixwn49lqdD/YDLrbLVCydK+0yry6W2RiF5FmOIMSMvIRbXYdzNZM9N0aXRTbdkMtNi3tdh9W6TpKDoUvoqkLTNrjQKjHwE660bP7bzRHnaybdccD+yOPm/ogszbBUgXc2Hb5+rsFCxcBNRBarFrYmkGWw50SM/IK07XsBLVPk7W2HxapJlBXSDhHYHUdUdAUvjcmynOcX6vhpjq6q+JmAKAmEScbQj5CFnI+2B8gkCKLCwMu42jRBFPhgL2Rr4FBSoOtHJAlIQlFRzYtS6raKKKqMI5H/6eUFRmHOubpJSZNZqmn81+td5m0FJ4gQBIGFisnmKMRSRBYqOnVT56vnWwzCBFsVudf30SSB1ZrK+1sDxCzjr27u8621Jj/fcTlXNVHEnKom0w9jbu07uFFKzZBplUy6QYIuCdRNmZ6X8KXlGqIoHLQ/iSDLeGO5SteLUYQchRwvLCrzFRZhQvH5joNpNTMorPHCJEeSinONgoiqKhWTOeljq7FREKHL4idWOSZ9a/L76OvHuStMKq89TlJ6lmz2ePAw38mnJROeZCP3KMlhpyWtD5LCPI5ny2nPcdr9vv/97x/iZSsrK6e6j8+d6A4GA3q93ol62oc5D/Cp8oeH3XeC9fV1hsPh9OdP/uRPHuU2z3CGJ4rH9cA6aYn0uP2OXhvAUuTDlc+mCWcp6UyG+mwyz4sLZeJMYK6iTUsCS1JR/UySRF5fqjAMMtwo5UK1sK2yVAlDlSjrCmsNi64fo8vCNLpmqRJ7TogmCTh+4cpwZ+gjyzK/tVbnw45Dy1Jxopj5soabQNPWado6giQSp0XE+FzV4Ec3uvyPL7RwvJCWrbNQMdgZhQRxygvzJRRJp+OF1A2Za/sOiijQGQeMgpj3dkdcblncG8SookDX8YnTDFEU2RmFRHHEz+/1WC4rvLM9JBNEojil50RsjAK2RzG/+1yFa/seCBKXGho7TowpCYyiDClPGUQ5Iy+k6wT88EYPXczp+DGdsU/PC9l3fdI0xgkTxBx0XWFz4JPnOesDj7YpcX13hCYK+EmOH+f0g5S7veL+Xl20eL8Tk6cpSejz3laPzVFhMWbrIj0nZBwEyLJURH1lgcWSwjtbI15oW2wOAiRJJs/AkgsZyIWmTUnXEESBuiHTdULW+wHhgV1XlCTc2BtTMxQqpk6SS3x7rckvNocMvICbe0MMRUKWcva9FFESGQcJLy2YvLM1RBJEdFVCFnLSNOdGx+Nyw6TjFprhmiHjRuk08tq2NYZhViRRpjmvzpcIkpwgyafacF0Up8lmXS/i+bY99Rct6yrxQbubXQGZWOwdl5T2oD52nORnWlzlU/rjw+KM5H42PAoRfNAxJ010jtvvQWP+SY4GD7ruced8HM+W057jtPv9yZ/8ySFetr6+fqr7ODXR/d73vocgCI/0M+t28Od//uf84R/+4Wkv+9RQLpcP/Wia9rRv6QxnOBaPOhCdZons6P7HDZYNUyVIDz/UpwkOB8UaJl67uixyf+DjRsVS2VrDKkiHKtMw1SmBaJd03twc8nzbPuTpOyHElnqQACcJ3O26jP2YWx2HgRvi+DHbTkyzpPLW5pCaLlDTZH65Pea31+r8txv7XKhbJJnAcsVAF0XcMOZS3QYKvvLO9oh/erXNTzdGXGjZiKLIOIy53XVoWyJ/dbOLJAm82Lb52f0BzzcN7g8i0izmp3c7qCK8vz1GlwWiJGHkx2z1HTZHPmIecafnYagygiDQNFVEQWAQ5ugyDMcetirzX68NcYOIkefwt3e71LSct7cdKpqME+eEYcydQUhZEbnfHeEEIfc6Hu2SQpAJtCyNQZBjqiKiJOAGEVkW0x25SHnGtU6ArSm8tTXAj2Ou7QyRyfGTmL6fsuclvNjWGfgZSQa6plPVZTRRIAMMXeFeP+TGnsM4iNga+tzYcxAFeHO9T1UXGQURgyBhGMScb5hsjROWKhotU8ZPcnbHEbc7Q6I44q9v7LM5CCjrMoMgZnfocqFucK3jcqlpMgwSoixne1horv04pW3KLJYN/su1Hr+9VqcXJFiyhCIKjOKUlarBT9YHXKobGIpUuCxIAm6UTKO1EymMqUqFY4Kt0TAVvDBlpVJ46S6WVEZBBByuFGVp8rTtzmrTJ0lse+PgkHThYROTZrXrp+2Pn8WR4VnDs/w+HoUIftoxRyc6ExznhPAw1zjNvT6pJLTTnuM0+2ma9gludhqcmuj+8Ic/JM/zR/qZaGQfZCV2HC5cuHBiAtlEbzuJDD/Mvmc4w286ThvBPXTMjF/o7DEnRa4mg/Ykeja5bpplRHHK9sgv9LkHCTyTYhNuWBR6eKll8dGeAxRlf6GIlJEX9zIKYnp+gq5I9A4y4m/1PJK8KDDR8xKWKwbjMCPIcr5xrsZ/+WiXV+Ysru07WJpC3ZTZdAJenivjpjkXahZxltE0ZN7bGrJQ1giijNsdhzzLMFSZH13v0bZFxkHIja7Pl8/V2RxFXJ2z2XFSvrFa5fqeQ5hm1DSJrp8hSTLPtUrM2yY3uyFNU+dLK3VWG2VKukJZEXh5scSWm6KqIh/suZSlmL2xy/v7ASrw5uYYOU+52fNw/IAoh7YBv9r2mS8ZuJlIy1ZxImiaCnc6Y/IsZWcUIAkihqYiiQqirCJLMueqKh/t9PGjiDc3hqw2dN7bc0jiFEWC/aHPtY5PVc/xEnhloYSXClR0CUNW2B4GDMYOg9GIG/sHk4woYbPvUTZUrnc8GobEyI9wwpi31gdUNZF3t4cMDtpdmmc0DIX/8lEXWwVZEogyAVORkUR4d2vESlVnHCS8OFcUFXllrsT7ux51U2XHifCTlO9crPGT+32uNC36YUKY5ZiKxNCNuFDXeXfXKSrj1S0+2ncYB3EhtYlSLFWi7yc0jI89dIMkY75isD4MuNw0GYQpkihOnUEm/WZCWI/2ATdKGPkRUVIsR88mXp42MWl2+3E6ypMSi45b/v4i4ougI34UIviwx5xk+/Ww1/hNjuB/rtKF27dv82d/9mf8wR/8waGfSYne73//+/zBH/wB//bf/lsAXn/99RO9byekdkKcH2bfM5zhNx2njeBOMKnYdjSrfHKuU18zzVkoG8TFyjCjICaKU27vOyhizs7QJ82yaRT3fN38JCFXZe71faqqxMbQRwB0SSDLMqp6USUrh8ILNS60ulmasT4I+Mq5OhujEF2RWLBU7vd8mmax/PzttQYVS6VuGaiaiq5KmIrEh/tjeq7Pei/AkEReWSxxpxsiAAtllfe2RohChikLvLRY5lY/4hvn6whkvLM15PUFG0uTuD/w6XhRkbTmB4gCnG8Y+ElK2VJxwpTzNR0vzFmuKsiqjiprtHRwY6gaMr0gwvcDJEnCCWKudwNKas7+aEzPiWnZCrKQsz4IkPKcPTdCAfpeytgP2Hdc8jRioaJzo+szV7a4P/QRBHh/22G1qjGOUsZhRpokkGdsjwLaJYW3NwaUFIGOG4EosFrRsEyDXDZYrBqIooAoFJ/7yIt5caHMnUFI01KRRZG5ssbbm338MKLnJiyUVFRZZHMc8uq8xY29EdvDkIsNA02RkCURXZXpexHtkoYbZ7yxWOGnG11EISdPE/yD79eNYLVmsT4MmLMVyDMMWcI2ZG73AsqKSN2QuT3wudw0caOUIM0p64VP7tW5EuvDQmu+M/QZBXGRdCbmjP0ES5Vol/QDzblImhYVAgdeyM7Q/0S/0WURSRJR5WI5umEo07K+RysHntT3jiawAYcI7Gy2/GwfO83y95PG4yCnZzriT5eunOb4h9n+LE8qPsu9fa4t6Pd///ePTUIbDAbUajX+5E/+5ND2733ve/zpn/7psee6devWoYpqD7PvGc7wLOG4B9bngYd50LZLOnvj4KGKWUwGpsl59pyQpQOP2ratkaYZwYE280JLw40SauZB5DcqZA1umHwiYWdvHPD6UoUf3djnq8sVrndc1g7sx4I050rDoOcVkWMnjNkZ+SxXdExVQhIVmrbOnKXy/r6DJgksVTW2xxG6JOAEMWKesTfymC/pXN93kUVI0owog7pt44YxCxUNRRT4cNfhe1ca/OL+GCcGNwj5+mqZf7g3ZLViUy9pvLfnMfICbFVkoaTx8/s9vrRcRRAEPtoZs1JRuN6JSJKExbJKz094uWyTWSLlMGazl3G5rBCkUDMygjglR6SkijhRzHu7MTUdVmyB652AxYpOmvvcHae0bR1JgL39gLGfoyhQ1uG93RHnqzrvbDvoEgzdEZYK93tjlksmN3seSxWDfpDQLFnsuzFNS2Fv5KOpCnujAEuBOIOViowoKuR5Rs1UcYKUYRjjRRnnqyppKlA2TbZHHnOWRprnaLLIvUGIqcj81oU2d/oey6bBpZY5rTomCxKazMH7hRy42fM4XythqBJenKIrEkmS4iVQEwvJQM9PWalaKHLxf00SSMn4m9td/unVOa7tuyxXNNwoRZeLYiRBmqFLAvtOhJCDpgj0/YTlikaQ5FOv58lvN0rwohQFgVwu2uvRBLJZB4ZpZT7h0/veZPtR2yc3LMpSH9c/jx77NPGge3tYPO338jjxKJ/H5Ht/lCJCn/Y9HN1+mu/taT2rPmubeuqV0R6Ef/Wv/hW9Xu9YScIPfvCDaeT3Yfc9wxmeFXwey3MPO6uHh6vYdlKG7yTpbBKNWq0a3Oh60/NI0sd63Nnzu1FCVZOntmQTTJaJJ5G1715usTWOuDpXAqBuytQ1hSApLMnCNMdWFdYaNj0/Za6sY6kSV9o2dwY+iyWNkirx93f6LFgq9wY+W+OQ3VFARZd5f9fhhbZFzVAwNIVvnmsy8KKCa+Sw58T81oUq//G9PZarKk4QEUQJ//mjPV6Ys1AVCUEQqGoiqlpE+DaHPpebOrujkChJibOMbSdFIud8Q+OXmy4XKiJ3hx5JmpKEAX6a4IUxZU0kSFJKmkDLkhlFOYMQSkAQw/7YJ4sDbu2P2XMCxBz8KOB6N2C1DE4OfgSDEMoyvHk/IM9h24M8p5gIIHKt59OyFD7c8ZHzlPs9B4mEzYOIdBxHBFHMzY7PckkhyYpqeF9ba7DvJpiaQBDH7LsxlqoQpDlzJZnLDZMgzdBkBSeMGDg+4yAkReBSw0IQBc7VS3y053KuarDnhERJxr4bc33fQSGj5/h03QBDkXhhvswwSDDkIoJ5s1skjJ2rGYiiWET504yaIfPz+0NebJv8cmPAlZZVkFdbY30QTIuPaLKIAARZThjnXKoZU0ePo9raURCzWCpWAsp6UVRkYpMHHNLUTjS77ZL+UJHWk6K1JyUPPSt4lu/taeGzjPOfxUbu0/TAR4MID5vk9nnhs7apZ4LoTsjpUZ/barXKX/zFX/DHf/zHh17/wQ9+wIULFw5Ffx9m3zOc4VnBk34oPChh5UHbJ/f2qOeffV+Tn0nG+qzzwuw5Jq9PyqiuNaxDldeq2sfJPRPLphcXyodIhHhQUOJOx6Wmy9i6UpQFrpvsO4U2cmMY8o3VGkGaszUO+NJChb+906HjBDQNCS8t9Ji/c6HBB3sOV+er/O5z89wf+tR0ibc2h5Q1iTzL+cX9ERcbJlvDgHZJYxglLJcUNgYBgiCQZDm5AIasoqs6C2WdUZCQZAk/vdslTSK2+gFNW+bGfsg/eb7FXiRR0QuC2AlFFks6XT9g7AVoskSaS3T9BFXMkQBPhJWaga2puEmOF0aookwC7DjQEOFaDyzAAaSkILdVC5wIDMBPIcxETFVAynLe24kRRdjzMrIcun6K46ZoCux6CcMgoWnIdLwEVZa41DL461s9vnWuwt1BREUVydOE2z0HhJxf3B/wwZ7D716ZQxBEtschu05EBmwPA67vj1irKPw/fn6Pf7RW4n99b5u1ms6tjouQZygi3BvFKHJRAKLrRfxqc8hqSeNaxyXLMlbLGusDn30nwo9ScqGwqBuGGa8sllkfRpyvW3S9eNq2Vio69/oeKxWdYZhiqBKX6ga2oRADbVtjbxxM268uFdX/LEViEKa8uFDGUottY7/Q/QKfILSzZOJoHzz694Nw3DkfNx6X7OAMH+PzIP+flUR/WrR09j08LbL7qBDyPM8/fbcngzfffJPvf//73L59mzfffJNqtcp3v/tdvve97x1yZvjRj37ED3/4Qy5evDjV4Z5UOvhh9j0Oo9GISqXCcDg8dUbfGc7wLOPoADYhlrOD1tGl0uOOO+mcp11Omka7HnCtB8kjJtG0qlYQ4UPJPwfLyWmW8dGew7ytMAoz1hoWO6OAjhNgaYX37mrVmCa5KQLcGfisljW2xwFxLrBWNfjV1hBdkZizRPp+zlLVYORF/Phel4qhsNEPeH25xLV9h91xQMs2udC02Rx4eGHM3Z7LxYbF3b5LSVfYG4Ws1HQ6XowTZIhkLFcNfr4x5EJVpeMllHSFjVFEEoWESYokCMiSRC5KaHnIrVHCywtVRl5AP0gZ+TFhAmUNFFlCFAWSJCHJQFZUojjCTyD0wLKh40BMEd1YtCAFhi4MgQUBVloaXpoxCmJ8H5IMGhWQhSISbGowDqGpQ4xE3VAQJIm6qZKmKSVNIQe+ebHF393qIgs5i1WdW/tjJCHnxYUqHT9noaywN/RI8pyOm1IzRBRZpucm/N+/scpf3+zxT67O8+O7PWqGyNtbRflmBIm6KeNEGYoksFDW2RuHXGja2JrCnZ7HhZrJvb5L1ZBRZJnVqsH9gc/QD1ElmZ4fcaFmUrG0gsQ6IVmaUTKUaRR2zwlZa1hTf+jdYcBizQSY9hv9IIoMhW6268VUtYL8ThInH9RvJn1wUmhl8jcU0eCnRRQnyWyTyPEZvhg4OqZDMV7OuoGc9ng4naztWYjan5avPVWi+yzijOie4UniaWmcPu0+jiO/Jw1mk8jrSW4LJ11vosl9kATipIfs7P3e6bqHyMT72yNWKjpunNDzEhZLKj/bGPLttQZuVDg4bPRcri6UMFQVL0rRJYE0z+j5CRcaFvf6RRLcXEnnw90Ry5bKzYFP3wt5aaGKrSnsOQEfbA9ZKmkkOaQI7IwCtkcOUg6LFRs3jtkaBSxXdD7aGzNn69zYd7jQ1HlzfUTTkhkFKatVAyeG8w2TOMno+hHv3u/QKmnc7nlossTIT7jQsrE0jZudEWYe00tFlDzDjcAPQFIhTEASoCYXpFVJoRfD5FNOAFOFUQQ+RQQ3AS5WYHdcJGq4GSxWBJQ8x9RUbu9HLFbBiaGsCoRZTpaBKIAXQ92AfR/WbBHTNIgyaFkKc7ZGlAuQJhiaSD8ATQJblzEUjW+s1fjl3R7rI4+GpSOTc7MzYuCn/NMX5hkFKb93ZY63tocsWCqb45CGKfPLjRH/6FKT3XGAIIjYioAb53x5pUYObA58qkaR7KgIMI5S3lipFT64UuGz/OG+Q0URSIGSofHaUoWOE1EzZeJMoGEoBGk2Tf7RZZFr+y5ts7Bze75tc3/gT6UMk34yCiLKeuHG8KD+cLRPzRIRNzpwS8gzJEGkbKgP7ANPChM98dNOZnsW8HmN1Y/rOkeDD7MFS057DPDQxz1NnJavPRPShTOc4TcBnyYj+DxxnP7vNHqtqczACR9Kr+VGybTC0yQyO6tpnEJg6uxwnLxibxywWjWm2+50XS5Udd7aHmEpMi1b5WbP56tLFe72PHaHAU4Ys1g1cOPiEou2yvrQp+8XS9BpWvioKgKMg5iWrfOL7SFBnHKlVSSf7TkBQZTyXMtifRyR5xktq7AnsxWFum2Qi0V0r2VrOEHGYsVGkQV+a63FRj9muarTDzPyHHbGESVd5ObuiPWhj6GIfPlcjXvDhFfmy+SIzNsSd/YdnCAkjWI2XUj8jI4DTgiZWOhtRyl0EugEoIkFyfWBPhAWHylxBqYIdbHYZgF3hxBk0CkK0XFrmOMncG0/Yr4EwxgMEcIcvBBEsYiA22rhAlEWYJAJiJJE1RDIEHhnxyGNE/b8lI6TkqQJNUOi68Scr2m8sz5g4BWlevM8R5JldEXla+eqfLg75vWlKu/ujnmhZbM+CrjULrPjJPzOxRo/vTfAUiUUMeetzSHLZY1+kLA9DpGlnDTNsDWFOIfXFivsOxEVrSgEISsy316rk4simqpyvqazMQwLC7Igo+NG3Ot7HzsiHNjYvTBXIhNEXlwo0/Wiads7JCE4iAQfJQZHvXKP9qnZimntkk7ZUFFl+USS+yjFCR4WEz3xs0BiPi88KMfgSY3Np5GOPSyOylo+LRBx9NqzErMH2d89KyT3YXBGdM9whs8Jx5HHZ8kr8jTZ25MH4ULZ+GSp0vCwz+fsYN4w1aL6VFJEzO50XRSBaXnVj3WQ8TSxZzbLtutFuNFhqx33wL3h9iDgtYXyQZU0keWKxsYoQJMF9t0AU5boBwnnagYNQ+HdPYdLDQsvTjFViSDNmS/rjKMUgI92B+TkLJU0bvV8dschSZLgRjF3ei5rdYM4z9kdFzZlz8+XeWGhQo5ASVcRgDBLqegCgiAhyAIrNYM4zqioCmGSkAB3uw4bQ5ed3pCRF7M1TnllwWLXz6noMv0YmrbKVt+hYSrIIoiaQA7IEjhpEY1N+ThK63kFkZ3AA1wgSAqyK+VgUuyTUhBh/eD/JWDLK6K1TkTBfgXoj3NUir/Dg6iuocrIGtRkgcWSSp6J7Dkx50oSd/ou56oagiDyrXMNfnp3yAtzZTpuRJTnRAgo5OyNfIQs4xtrdcYR/O7lFncGLpfqJm9tjzlfNXHDmEVb4cf3hry2aOKGKR/uOjzfNnlnZ0wSpwh5iiiIZKJE01K53LAKCzlZoOMUJaiXKxp3+gGvLddYrBhIgogfpyR5xr4T4AUhQz9kzwmnbXriCGKp0jTzfbK0O23jB97Sh147aM8KnyS7x/Wn2b/bJf1EC79PSxQ6+v9nZVx5lnGaHIMnec0ndZ3TkNGTrn20ZPVJ9/6w9/M0cUZ0z3CGzxGfFkn9ImA2wWyCiexg4vN53GA+cVgIkkI7G+dMl3wnLgurVWO6bDYro0iz7JCmcbJknKYZLVsFoUgcCpJi2XWuXCSnLVUN9ryYry4XEb57fY80y9h2IpZKRfJSw1Bwo5RXF8psj0NWKzphnPHOrsNzTQtDhne3x4zClLW6RZoLrNVtKqbK0IuJ0pytocf5iszWoKCZaZbxwfaI59sWsihiKRKxIBBlOaIgEoURqlSUK0ZWGYcJqiSwN3AZOB6+7yGS44QJtqbSj0WapsDIyVGFwmVBAyKgevDbkGEEKEe+r5SC8AKMcmipxWtQRHtlCvIbARWxkEQEGayUNbZHsNqQyZRCp+uEsO+AKQm4MbTrJQZhTruksVJW2QsFvnFhDkvX+T99ZYW/vN3n//z6Eu9sDxl4MYYIy1ULRdWIk5SyqbA1ivjec3NsOwmLZYOtkc9aXWfPC+l7IU6csFY38ROwdZXLLYt+AN++0ESQBEZBgiLLLJU00iyj78fUDRlTlYgREEWR+32f55smN/YdLtUMPtx3ebltEyU5LVunZuloqjqVJYyCiN1RwM7QJ4rT6YQMOLS6UGyLP9HuAXpB/LHu90iFtJMwm3R5XL87DseRj0cdV37TCPKDPqcnNSZPrvmkrvMw3+GDHBlOev1h29WzsJJ5RnTPcIanjC8SyT0JliZPI7YTEnw02W12XygiB5Mo1uY4nGbCz5ZXnR4zs6Ssy5PMd3mq+Z011E+zDF0qSgVvD0O+c6nJB/sF1bvbdzEF6HkRYZqjSgLXOoXmdxCmfGmpghdDkmWslFTu9jycKGOxrOKGMfcHPhfqJqMo437Po6RxUNBA52cbDgtVg54Xsd73aZkyb26OyfKMbhBhSmBIAqoioioyTpSzWjXYGbk0TZkwzRAVjaptEqKQZBkDP8MLI3Qp504nR5QAtYiqJnzspJACe0lBfuMTvqMRxfaNCKpCQXIFYExBhDVgnBVSBV2AG52QtSas9xKSEIS80PlKUuGAUFLg1t4Y0ogPdhw2By4tU+LdrQG2IvLfbnT4ly+3+Y/Xu7yyWCYl5XbfQyAjjBOutC3e3x6xWlF4e6vPvCXT92OEA3KqSSKrFYO+X9DyhXLx2VpyYVXXsFS2hz62KuGEMXf7Ln6UYusK5HCj47FQUgpHhqrBRx2Pb601uNn3eWOpzLt7DqIo8nzbRhJFXl+qTCv1eWFKzSw0v6oiUdbVaZucJuyoMpIkECb5dHVjdrupSkAhr1EO2uZshTT4pPNCu6R/ItHy03AS+XiUceWLOPH+rDjte33cxOxJTSie9Hf4sOd9FlYyz4juGc7wBcOzGG2Z3NOstms2qe1B9+yGRfnV4xLkJueZWIhNZAztkl4kralF9EuXRO72PMgLa6cgzdh3ItYaOj++12feVlAAW1PoRikLJY0gzcnyjDhOeH97RMNQispVusJzTZtBlLDWtLkyX8VLQBVAFgXe2uwTRRFVXeRGJ+LKXIm9UcgbiyX6XsjeMMCQBD7q+OhCjh8W0UFZEDlXt2hYOhdaNudqOh0n5EqzzI1+SBhFuEFIHAR0xjG9Mcg5dCLouoUVlxsX8gIhLyK3faA+E8J1PuV7GlGQ4k5eRHBnH1lDCpI84oDQyrAxAFsDVYJUBFuGOII8gqEHYZLScQL8OCZD4L3tMXns89bmgCRN+Y/v7fA7F2q8tTHEC4tkvzgR+ObFJv0QvnWxST/ISHMRSZYwFJG2rbI1CvnqaoMtJ+Jy08RSRN7dHvPV5Qp3BwmvrdTYGoWs1nScKGXoRVQMmZv7Dh034sPdEbKQszkMCZKcjVHIV5cqdL2YpqXScSMUciqqxEd7zjTRTJdEdFmkZCgMg4zn2/b085mW4T1IHAMIkpzLDfMTcgNdFiGHuz2P1arBICos6yYa34k+fba07+TvRykO8DhJzW8SyT0tHjcxe9bI6JPG017JPCO6ZzjDFwjP4tLi9J6iw1XMZmULxx0z/TtKDiWhTbanaXaI7M5eaxJ5m9g/fbg3pqKLdJzCokmXReqmzM4o5pWFEkGSM4xTTFnC1hQUIcePU2SpWOLOsoyuH4MAz7dtGiWTFxdq0/LC52tFmds0F1gqm4yjjH03wlBF9schV+dL7PkpWS7x6kqFXBR5YcFmzw25tu/x2mIFN0kZhDE1XWLkxZiazMtLFa53XZq6iJ/kDKMUL8mwNSCHVC58b6McVLHQ2zaAAYW+tgTsnRTCPQVmF8gtPpY0+MBuAE4CIw8iEUpycQ9ZXmiEEwHmbYNhlGOrIkma8eJ8iVzWkSUBL4x4rm3znz7Yo2kJOEHEVt9DlQWCOOOlxTKkhWPEq4sGXTdGlyXe3RnTMiT+7m6X55oWH+55OEnGi3MW//mjfX7nYp17PZeRHxIlOT0/4Zvn67y/41A3Je53x8RJwoe7I3IgjlPKmsjb2yO8KCXLMhS5WEkYRiktW53azU3L56ryIfI7q8WdtHUo5DJHI7CTiVmQFiT4/sCnbWvTlYeJVGe2v3zWB/9x2vgzPD48CWL2OM/1RfzOP08yfkZ0z3CGLxA+j5nwww6as5m6s+eYJeSzfx8iq+EkwSz+ZKavcPz19p1wKlFYHwTUrCJDfnscc65uFkvKokiQ5Ly0WEESRVp2IT2wFIGOE7A9DimrIsMDfeckQudGKeMgJssy3DAmShI2hj6mpqCqKt9eq5MJOWGSsT8K8f2Qt7f6/PRuD1POIY+5tudyuWVztxugyzkXmyYfdTzmShpJktJ1I0qaSFlXGYQCV2oy3SCj5wUsl1SqtoGiyDRLMHYLO6+eB6MMbKALqBSkdPxQ39SDER985HWKaK9EkY/m5cXFLEVClKFdgSQvIr1RmqCSM4wy2rbKMMpZqWo817KwDZVbXY/fOl/l/ihFFEVqtkIQRwy9mIEb0SqrvLRUp+PlrNZNem5IluW8tzOirEr8/Z0OppgyDhLuD3wuNTR+uTlCFEVKisjP1we8Nl/il5tDvrxSp2JoyLKMrqq8ulghSnPmKhqjMGOxojH0QwZuMRkyNQldFtgceGz1Xfwo4oPd8SHi2bY19t1w2j4mCZNlQ526iMxWQZu0aUuTWWtYbI5D2rb2iXLaE3J8nKTnOHzaishsf3rWJsK/LnhWienDfudPK5HsabbJM6J7hhNxNlg+m3jSJPdREgeOZurOEvLjrMtmiXHXi1hrWFM3hck+J9kcmapEz0uwVJnzdZNhkLFU0VmuaNNMeTdKWCoVBQEmxPf15SqbTsxXV2rEuUDXi1iyFN7bHqJJIh03QgDuD3ziJCHLMq7vuSiSQJ7mXGqYxJnAOEhYKmuUTIUNJ2S1alA2ZG52QvIsR8gz7nZHxFlGjkjHTbhct9l3ImxDpWSq7LsJiiiwVNGIBJWKLjNnG+w5Ebam0NAkkhQ0uZAnHBggTKUJISdrcR8VEQWBHlNEiifJbqZUuDUM4pSWIVBSVComzFsKwygFSaIsCwyjnK8sW4RJTtfPMGSJlxfKbI1DXl8osVozsRQVXVGRJQFVEnCjjIEXsVLR2R549P0ITRa43LLZdiLmyjr7XsJy1cBUZHbHIQ1Dou9FvLfncKFm8PbOkKWKQd2Uubbvcrlp0CzppLlQlB1Ocr6yWqNqaixUTKqWSstWKesq82WDqqmx1rK50fFZsApHkFkZjalKeHGKGxWSg0m70iXxkAPI3jgonET8aCpHWK0aAJ9Y6ZiWuz7FGPtpROZofzpOD3mGZwenSUp8GDxM8ONoW/q0cf5xTZye9gTsjOie4Vg87YZ5huPxpL+Po0lkk2uepi08KBnmJAsbYGo3djSie+LDOoeVqk7Xi3GjhPN181DC0CTKtjkOaRgKI7+I4AVJxpeWKvT8mG+cqzFfNrne8/jWWo07Q5/lskbHiWgaKhVDYxxlvLpUZuwniJKAF6V4ccrry2V+dn9I3VB5cb7MKMywVYkvr1bwU4GFio6fCHxp3mYcZshCzv3+EDGHjZ5LdxxS1QT+8qMtNnouIzdgfBA9HocJjuvhJUX52oZduCpofD6D9SSSK1DIGuoU5YF9YMUuyhKngsCXluv4mcKCqZCmEbKs8tK8zZ1+jCxAnifUTJntccxaq0zNNlmomiQ5LFV1TEVm3wm51/O40xnxd7c76IrInKWBKOEnUFJgox/wwnwJSRSpmCqyJDH0U/wowlJE7vY96kbxvf/kbo9LDYNbHQc/TlmtGXhxii4LU3K51rAQRfGQ/GCtUZDzqy2L+0OPLMumZBUKzbepSIfKU7dtDQSmDiCTbXHO1Ad3QkAtTS7cNfi4IMOEGM9GYid4FKur2YnmJ9xQsuxsHH8GMJn8zFokHt3+qDjJCuy4/Y4WBXrQOP+4VhCfdpLjGdE9w7F42g3zDJ/E5zX5ODoIfpa2cPQB7oZFpbLJdSZkYGIrdhQTEpCm2dRrt2wUUocsy4jihJEfTZePG6bKm5vD4vyqRNeP6bgR4wMLqDTNMFWJrhfjxSkvzZfYHscHBDhhqaxjaBKiKPLba3Wu77vMlzX8OGXPCdBFgf/9WodvrJa413dRJZHlSpEQ9e7WiEstkygT+T+8vkKEwitLFXRJJEhANxRkIediy+KdvZD5qsF630EQJfpjn41xSEWGm/0AWYSyAv0QKgooSqHPfZKQKDx1ZQqS2xQhoygacb4kcXMY07JUSprM3tjnlQWLRJAIU/DjjK1RSJom3O+NWe95/O3tAaaccXd3wNCPuL43ommIvLs1IkhTFqo64zCm7/qYqogsyThxRssQubk/ZhzGLJY1vATqpoouCbRslaW6ScXQyBB4danCvb7P1tDn+bZFx08paRoX6kVBiJJeZOrtOeG07TUMhTfXB0WbSDPudF3qRuEaslAxEQ9WEiZFUSy1aHOTkr+TaOzsisOUZM6U752Qmve3R8ybyrTdTxLaGqY61QBP7MtmZQiz+Ezj8EHt0zOy+2h4HJ/brO3ccYUcHvfY/qDzHbfqdtz/j+7/WfE0ucQZ0T3DiTgjuc8WPs/Jx3GD4MPgaCb5hKze3ncoKQLvb4+m+7ZL+tQfd0JogQOf0qQgKXFSJAVN3B0MpahqFWaUjY+tnz7ac2gbMu9uD4milHtdF00uiiwESX7g1CBxr+diywLX9h1MRWLfiWjZKqoqUdYVztdNtsYRazULL0q53XVxg5h9N+CVxQr/cH/EK4vVA2KjkGc5tpLz5v0eFxsGu07Eb19oECUZ+27I1fkysiDytfNN3t5y+M7FCpv9gIWKzeYwwFYkmorEKIO6IeIlOaMg47mGxm4MWQxlCjL6pJBTkNzw4DpeBpYOzRJ82EmZ1wV2vYyFkoimKnTcmD0vpmVIDFyfoR9ypx8gChKKJKAIGe9ujQnSdDqJ+cn6iG+er9Iuadzrh6zWLGq2RdPWqZoqbUtlYxRyuWnhJQLzVYvzVZM0zRgGCS1bJ05zyrrMt883ubbv8cqchRvG3OkHLFcMVmoGNw+sxdwoxYtShl7Ie9tDhl7IW9sj1ho6HTei68c0DAUECoKrSjQMha4XF5Zke86htq/LIne67jQivDcOPtZ3h4X/7qT9TvrQ+brJjhcXHr1RIbmZ2OWtNSyCNMNSPr7Gp1WmOg4nEZuJ7d/k3s/I7sPhcRHQo1KuB21/HDjN+Y663EyO+3WEkOd5/rRv4lnCaWsnn+EMnzeOG5ieNo67p8nDYeo3OiODgMJy6fm2/YkltK5XFICYdWqI4hRVkaYR29lo2WylNF0Sp/rc3WHAXEXnXt/nUt1ga1yQ2IapEiQZv9wYcKFm8MvNIecqOnf6HqsVg6qlFsvakoClyawPAqIk4W7Po65LrA8DJFFEFQVqpsRf3uzx6lIFS1PYHQUMgwRDyun5Kf/8xQX+4U6XOE1x/BRRzHhhrsxf3+mTJCHrPZ+en6AKGRVL427XRxQEyHOiJKQTQMsU6YQZiQedtJAv5BQkdEQhL3icg7dGQXQjighICaiWoOeCeFAm+NXzJRBEZCHlftdhtaTwYT9muaTRD2O+u1anFwukOVQ0yDOBMMvYd2NsWWC5ZlCzLII4wVIy3t9xuTpfIUxSvnK+QRin0wIcry5U2BiF1E2Zjhtxda5Mz4tYKGnsjENKhkZVl/mHO12+tFxFE0W8JEESRQylmBLMl3XcKCVOEm51Pc7XdJwYTEVipaJPSeDEwYMcvLhInIOi5HGcF769QZKxd6DJ/mjPoW7IIIAXppQOio4oAkiSQFlXp2175EfTydiknR8X0Ztsn+03D4NPGx+OOpg8CibXeJSx6DT391nHtycxRj4r4+7jvI/ZMfppv7fP8r5Oy9fOIrpnOMMzhuOiB8+iZvpBUaTZ6MXssh3AiwvlY5PToNA3TsoEAyeS3Mky8aSIxCQzPk0zTE3CjVJeX6qwNY44XzcBpkTFkgT+6/U9XporsT0Oeb5tsedGBEmOLgm4ccq1fZc9pyC2yzWLXpDSsHVWKjqmrvCjG300Ked+1+eD7SFlFZwgYWsU8tJciQ93xzzXMAjilH4QkQsim+OIhqkgCRnDMOX5OQM/k5BFiZIuY4gpoyBkx4MkgO1BRl1VibKChIZASfy4XG/OJ6ugPQyOmlqEFJIFjSIpTdZAl6BdLhLfVA3GjocpC+wMPWxN4UY/Zs6U6XshbUPmrT2fkiaxVFbQJInlRhlZErlaU9nzUixFYaGislTV+Mn9MRVF4GfrAwwFPtxx0BWJUZCwWNH56f0hL7Ztbnc8rrRs9t2YFxeqdPyUy02bjhNwrzPmpbkStqYQA6Z80FZUCUuRpoVDFFnmtaUK+17Kq/MlWnZRknraBidR1jSHHBQhx4tS3DgpJDAH7XO1anB/4LNS1UEoVglMVSLNMhqmMq32NznvRP7gRocrBB7F0aTNR3nwnyYB7bOMIbOyioc9z6eNX49jfHtSY+RnlWydhE8rD330fF8kH9+T8KSS3T4NZ0T3DGd4hnAa8vg0cdpEhaOJaIc8SMNPFoZI0wzlwEt3ImWYkN3jSgtPH7ZREdltWUUBCEkSMQ+Wn+8PfFYqOjsjH0VgmhC0MfIwZbg/9FmuGjgxvLZcQZcFOm7ExsBnd+ThhwHvbQ/ZG3m0LAVdkdh1QpwwpqaLREnCMIi50rL41abDXEnCDSN+uTnkQtNmEGV4UYYiJry/1eP97R67Y5+Ol/GNtTpvbzp861wJJ06pGQpukmFoMnMGlEugKhBmCZpSEM+qBm4GVblwRqjw6AO4yCejwQKFZZlEQXjjGHJJQRNFSmpREQ1RYnvgUlFEZFlmvqQhCiApEkkucaFpMvIj4iTFNnU0WeQrK3VujTP+r19dYrFuYyoyUZrzykKZ/TBlyZa43wuxNREviJm3ZbaGIf/oUp0POy4rNYP1QUDDlNgdB7zYtvnV1oi2pRClMIoLL9y6IbPlBKzWDIIkZ75iEKQfV8nzopQ3lquF5deBtdfsJKzrxbRtjZKhFAloBzIW4JCjwVrDQhILe7i1hjXV70qiyFrDOjQhW60aDML0E9X+Tsp2fxz9+0mNIbNE/WHP82nXfhzj27M0Rn6WUs/H4Um8t6dBcp9Ustun4Uy6cARn0oUzPG18nktlD3OtR1nuOo7UnpQhPCG5R/c9um3y+qQiGgJTTeXR4hR7TuFjOiuX+OXGAEsGN5lYZGU0LZVxUBh2ZWnGIEy4tT/mYqtESRW5Nwi40i4TJwl3eh4jP+RGx+OfX13gw/0xV9s2v9gY4ngBFUOlbCpIgki7pPH//sU9RAG8MCJOi+pswyjjQlXhei+iZRXELwfyNCfIMnpuTBh4dNyUOIc0B0mENIFeAGUNeiEYFPZjDwORIsnMOvg7oEhCGwPzMoyTIlKsSqApYBsSsgR6nqHrOooskyQJsiKRJjl+FOElKV9ZrZNkAmt1k0GYoisiS2WVdzeH/N7VOW73Ir6+1kDIU97dGrPnhHywM+TFeRtDVbjatlFVFUORyNIMQ5HYHPnsjFx0RWWlolG1jIOJhszNjoMkinxlucb7+w5tSyHLctwk5+U5mzgvfJF1WSBIcqqqxJYT8XzbPiQfmLQvBQiybJp0NkkWW2tYh9rtcW36uH5xlLwebbeT8tVPYhn5cRLnT7vO0yaWzyJO87nsjYNHqoL3OPB5tY/jrvs4r3kmXTjDGb6g+DxJ7sMsGz3s7PukGfzs9slvS5M/4S06u2/DVA8l+UCx3Nz142mUbWLZY2lF1amdkY8i5uw54ZTcWJrMb19soqsqK1WDjhchUiStZWlGmObMlXXCNOeb5xuIokgmSHx1pQYUmfaLFQNJEvlHFxu8vT1EIqPnRXz9fIPXVhsIkkiW5tQMiY1hwLfWmqy1yjTLNpossO6ElJWM+8OYpapOzRBwg4SKLmEoAvMllZIuEecyNVujokss2hIC0LREVqsCzgHJleRCVytTkNUJZgf2yXabQvIgzrymiNBUCrLbFooKbPNWsU+YHjgxiClBnNGslliqmehiQiaIxGFInGU4ccKXl8rc7IZ897k2mipTM1Uu101+tj7ity61ud4J+a21BlVd5p3tEV4U0xm5PN/SGIQZry7XiZKcqiajSgJVo7DxUiSBNCnKObes4h3qksD2OKRqqqzVTf7+Xo83FkuMo4yq+bEWe9+JUMSc+30fS5W42fen1c6Olqpul3QGUUqQ5If8nVerxtTtww2TY5ftj+sXk4S1o31hcvy+G07//7ijWpN+8qSXhJ9FOdWTwsO+x9N8l0+T5M6ukn2eeFqTojOie4Yz/Jri0waxR3nAHpd4dtK1ZiULx93boQz2mfMc9/DsetEn9hsFEYoAO6OAO133E/KGHAiTHEuVplpeKIhA3ZRJs4yKobHnxNStIqmtrstsjEK+ulzhzsBn3lIxFYkgzaibMl6csjXw0WWJcZSxWC4qZG2NAsZ+SN1UeW2hwtY4ZHMUUjVUapbMSkXn2xcaIMlcrKr0ApDFnEsNGy+VeW7OYujHKIrEWxtj6ppIkMaUdIVzDQtJ0XmuqTFKc/wkR5dAk0CQYV4pCCwUzgwlChJs87He1qCQJohARfg4qls1Ic6gpYGoQbsEuy4YOrTKkAlFGeDVisbYC3GinCATqZsKmq4hkfJbl1rcG+f8kyt11gc+TpgiZCk/We/zzXNlbnZcLAXW+w4/uddj0dbQZYnzrRLDAK62C9eEKEnYGLh4YczNfYcX5yyyXCDKRf7F8y3uDQP2nYA0zdEViTlLZ+AnLFd1bnV93liuEiRF2d2NUUjdkHl3e0zVkLnTdblUM6bleKf+tgek0A0TdElAlwQ+2nNm5AzRdJKVZtmhIhETu7Cj/WJSVOL+wP+EDr1d0pFEkfmyMdWiP84o12RJ/Gg57ieBZ0Uq8KTxpAj950EyTxqXJ6Wuf1Pwm/NOz3CG3yCcdnD+rBnYp0lOOUkvOOufO0sIZsnxoUS2/PDxZV1l24moG8qBJ2p+KOlnoWxQ0pWCqDgfR9DSrIj2ZWlO14t4oW1zp+fRsFTcOKVuyAzClHO1ooBA3Swqq72zPcYJY4KkKIrQtHWqlsFqzS4KGmgKH+2N+WjfoWZI3N13KKkiPT9juWbRcWP+5csLjCKBhimzUFLYHrnM2QbjMMVWJT7cHnG5pvLj9SHPtWySTGDe1litmSS5jJTliAlISvFxXG3qaDqIQhHRLWmgq3C5AQ0TKirMl4pyvRJgypDl0NKhYRVkV5EK/e2CLeNF0NQhTWG+bPLllSorVZtBkNMLQkauz9hxCZKU59o282UDRZR5eaFEx4vYGIVEScz9gceFhk0uyGiKwnJF51bPY95S6AUxDVvjQrPElfkyDV1mbxzStA2GYUqQ5uiqxN/f6fPGUoXfvdziZj9grW5iyQLXuy7Pt236YUIuQF1TsHWFPadwaHh7Z0zdkLk/8Hl5rsyuU8haBlEKMCWsP7/fp3pAWN0oKRwUDr7/WQ/dWV2qJIm0Szp3uu4hb9xZTEr8rjWs6Wt74+AQqT2UTPkYieJJ5YWfFKn6dSe58GQI/WnG58/6nT3oGpP38psSkT8jumc4w68hPo9oy2yU6kFJaUfLn04wOe64JbxJdPZQJEw6XBLYjRJeX6owDFPmy/rUoWFCKibXOESoVRlLkSnpCkGasVTSeHNjyPNtC0koohyaXPgR6LJATVO40fHYGwfUVJFhkFA1dVRV4XLDZKmkMQ4TXl0o8Z8/2qNpSGR5xv1+yBvnquyOQy43TX610WfelvnRzR6XWybPzZWRFIO1ZokkiQnjhB0nZr6sc3cUcbmuc7Pj07Rk7gwCSrpAs2Tw+nKNXIUX5myeW7CZr5icq5eYq0HZKjS1X1u1GSdwvmFRt0AXimiursJiTebFRQ1DE1BlijLDApRUEASwdAHLFPnaWo2LTRs3hVeXy8RpSlmRycnRDJO6oeDFOc2Sys44JM0ibu555HnMes9FlQQEofAvXqtqfLDnc7lpc2/gM/QTVio6XhijySLr44TvXG5yZ+Bzsa5zp+Pg+BGXGgbv7znEucBLcyUGQUKSw7fX6tzoeLQMiTzL2A8SWraKIuS8ud5HlwTGQYwpSwyjlNcWy7hxSseNWCpprA8Cun7Mq/Ml3t4Zo8sCaZYVCWxlg7KhslA26HrxIeeQSZuCopraxBv3OBzVmh+thnXUieRx4kkXI/ii4kGrT5+Gxz2Oftr4/Di+swetqJ3mHn6dcEZ0z/Abhy/agP+o9/t5JKKcZun16MP9qDb3E+eNkkPVnI67xoTMfrTnsFLRCw9UYBQUXryzpGKWUE+W7SxVomUXEdyyIRMlOXMVHVOVkEQRLyq8VGPgctMkB653HRYrBssVY1pJ7f7QZ6Wm87P1Aa8u2ny456DJIq8ulQhTkVeWaqwPAq7OWfzVzQ6LJRkniLnf9/nOc236XkrNUnHCBPIMSRB5fr6CriqsVDXyPCdDwPUjJEnEz+ArSxW2hw6XGjpRCmVNpKnr2AosVw2u7TqsljR2HZ8lS2ecgCzBxaqIbZp4MSzZMqIADVOgXNK4Ol8lR6AsgkhO34/YH/nkSchfXt/n6lwJWZaxDIPFikHTkkmSjByBLE0ZeSm2LiMCrbKOpWvUTIXOOOSn6z2qusggjPGjojTwj250yfKcME6wFIHbXY/fudhgYxBwda5UFKTwU2xVZG/ocbM7pqxIOFGGIss837bZdWN6bkRNL77nbSfmpfkS/SAhTHNMrfiOgyRDAC7VDN7eGfN828ZSJQZhwgtzpcI7N0ppmMq0vbpRQlWTDlXxm1iMTdrvLMmdSGZmt8+2/0n7m9UFn4ZkPMiO67SvT+79N4HQwIPtGR/FGu2kc35WfNqYeVKA4GHv60Hv9zelTZwR3TP8RuGLFt14lu/3YSMCs/uf9L4mBDZIP/YTPS6bfZIR/3zbpuvHeAfL0uSAwFSPO3vt6fFRclCWNy+Sy0o6/SDhXt9nqaRxo+MhkjIOipK3QZJjKRJX22WCKMVUJTaGIVmWoUsCAz/hSstmYxhgqDKSINJ1I7puUXBClQT+5taA37nUZODnJLlA3YD/7d11Xpoz2B7HGKqCKonMV1TSPOfqQpXXV5uoisoLDZ3r3YC2JaCJAhvDiOfbJd7cGnG5rqLIEkGas1Q1kUSRtq2x4xRRbEnTuVDV0CTopyKLtsScLdMLYbmsIwgy//i5BuMIXpyzGKcChqygChmDIGZr6LNas9hxEiqGwvmKSJymbIxSfu9KkyQTeXWpjGWorFYtFqo2CyWT8zWTex2XKE0xZJEwzXDDjIqpsj0MeGm+kGsEKVQ0GVEUUWSZS+0yoihS0mW8MMYLYwZ+jBdl3Om7XKzp3Ou5jP2ihLOti+w5AeMgpmmpOHExMdEOJit3ui6WWpx/EKW8MFeaJqNNyvWWDZX5mQhu0UZSel5c+CqHyVQDPvKjTyTxTKqjpVl2IpE6rs2fhuQelzB0Ut950OsnVVr7LATqWcRJn8FnsUZ7EmPwac51UoDg6H09yKLs847aPqvt5sxe7AjO7MV+/fFFs8R5Evf7eX0GD7rOSTZNU4nBMbZks7+n26JkWsFqluBOko1mzzXJOL7X92jahf/pnQPHhcWKzp6XYCoSIz8kzgVeWygjSSJ3ex5dr4geenE6/S0e+Kde3x2xPXKp6DL7XkbX8Vgo6wyCnCSJudIy+eWWwwtti1034X7P4dXFCl5S2HhtDVzudT3cOON3L9X4uztDWiWNr61W+a/X95HzjH6YMVdS2B7HJGnGuZrKjpMiCgKmkDCIRSq6xM7Ax41T5gyZkm1wfWeEl4a0TA1VM/CDgEvNErf6AUuWxI2ez3cu1vjJustiWcENEkRZwgkTgiBAU2TWmiV0ReCj/YC1kkyjbFA2dNplnXsdh7qts1iW2Rol9NygiKC2TD7cdWnaGposUjdk4gycKKNtKdRtnc2+S5bnLJR0MlFiraqzOQ7pjHw0RaTrJSxVNGRRpGnrbA59nmvZeGGKqUl03AhRFNEkgbqhoB5URNsZBXy4O+Z3LtS41g24UNPp+8V327K1qbXXBHe6LlVNYhCmWKpEVSu0vleaFl0/pqpK9IIiORA45BBytM0+TJt/UF+YTMiOSnYe5jwPen1y78dNJJ+Vqlkn4bjP66iN25O63mc9/6N8viddcxoYeAa+q6fRbk7L186I7hGcEd0zfNHxaQPx5zUgneY6xz2wgEPHzZKJyaA+Kf872WfWk3JCZicEZeKNOtm+Ny4igKYiUTYK14Q0zej5xbUrusj1PYfn2jZxVuh1xTzjZteFHFqlwn7sXM3AjQpidGt/TNeLeGtjxJeWyry50afrhby8WOVWZ0zdMpm3FaI05V4/oKGLyIrC+YbNu5s9el5EnkPVUHhrc8zzbYMsF6hZGtujCJmEjheTZTnLFZXb/QhDgpqh0vNChlFGRZeRRQFVyuk4MbIo4SU5I9fHiTIWqgaqBHkOoiByvmnxwfYQRRTYGIR89XwFBIn9UYAuCyAK7A19SqbOYlknEwTqukzHDVmpmSxWTN7ZGmDKIhdaNlvDiLIuM3J9dF3BCXNMpfAN1hWRnhtR0lXWGjq3uwFLVRNLhusdD1sReK5dRhJFRFFke+QhAG1bZ33oYyoS5+oWDUOh68dkB5ralq2SZllRxSxKudi0+WB3jAKkWcrNns9LCx8XA2lY6rSwwwSTiOy1fYfXl6tIosgHu2OutKxpFHAyYTraNo9rww/TP2bb92x7n5QjPkrIHzceljA/Czju8/q8CNbjuNZpI/oPc75n5bv6vO/lzEf3DGf4DcRpltke13LWaRwdHjbh4ji5wvT/6sc6yaPJPRMSMj2XAG1bYxClSKJ4aIlvsu9spEySiqFwsaRyuxew1iwRZwJtW6Nta9wbhtiagqnIvLc95FLdmEodfrU5ZKVq4EYZ/8OLTW50XQRB4OWFClvDiFfmbMq6zG9daCJJMt8+3yARJObLBuMg4VLdAkFioWJiawq/faGBFxeevSICKxWZYZgiCnChaRPlCueqFosVE0VRWK3bmLKEmCe0bJ0gEVhrVrA0CSlLSMgo6QqqVLwfAWiXVJIsY6FioIo5LVtmd+Qz8CJWahppLlAzVOYqJqYkECcxQRhTNSTmyybnaxbvbI2QsoT3dwbc2vd4sW1wu+ugqhJ5LlLWJUxJ4Nqew619j+faFlVd4W9u9qhrElGSECVwoWGxUrOIcwH7IGJa0hTKRlHtTpMESqpIx40KSctByd2KJrHvRHhhOiW9H+yOWato7HoRYZazWtEPJikeNV2h6xZlmCft5GNf24hLDZNr+4UDw6W6UZSLVgsiNdF3H9emj+ooT7N8O9v2jzunJIpTh4fZY04612lwkn73OHyaNvRp4qjm+PNcnv+s13pQEuKjJss9KyQXnq17mcUZ0T0Bz2IHP8MZPg2nHYgfB8l9GPuy4wbxh31ojPyI0UH1slm3hqOJJsBMdSvl430kcbokrElFpPZO1yVKEnaHARVV4q3tEWVVxAmKqOHO0Ofn93tcqBnkwJ2+yytzJf7mTo/Xlyr8ZH3AGwsltp2Yf/HiAlvjhKalcKVpU7N0/uWrS3iZxP/w4jz3hiFrDZsYWK0aRHHMKIh4b8/luaaJHyb4SY4iC2iyQJZlCKKAE2SkGZyv6aQpSAJkWUiQ5ZQNlXGUsVo3CRKBrhezUFLJ0oLEWpqCKilcaBrUdRnb0Hl1uUHTNlgum7yyVOfF5TaXWiVsXeNKu8StfY+LTRMvStEVgVyAYZiwWtO5049YqekEaUpFFbnWC7jaLlM2ZH6yPub3Lje41fG5UNNpWQofdn0ahkxdF7g/iMgFeHHO5O3tEW1Lp2SqLFcNRFFElwTe3x7Qd31GXsTID0niBCEXuDcIWLBURkGMpcooskycF1Xs7vZddFnAiwprsJv9Qt6wUDEpmxq7ByQ2TDMalsr64OMCEJNVgZKucLsf8Op8CTcqqtFNyv8+qOjJ0f5w2mSnoxnxh6Q1B4mVsxKdh9XlnnR/D/Ncmz3mYY97kjhOc/x5EqzPcq2TnBAetv2cFmc8psAZ0T0Bz+rM5Axn+DQ8a5GNycP7pKpSk31m9z+6nxsldA68bydeubPnmGgkJw+R6fYD3W7ZUKdRW0uVCdNCsdUwFMK4cFxQVYnzdQtTlQ6umbI+8Fmr69zu+7RMlS+vVPnbe32+c6lZOD5UDbaciKalHkT8FFYqOoIoYGkKe07A1bbNT+722Bt57A7HbA08Om7MKExQRFiu6Nzr+8zZKjVDxo0zZEHEi2OCKKVkKHx5tcqem1GxVK60bHbdFEkQCKMIU4X7PY+LzRI1Q0UUBWxDZhTmXF2s8k+uzgEiLy5VIYeLLYv5io4oQhhH1E2Fc3WLi3WTa7sjFqsqH+25rNYMBASqhkTV0AhSOF/VsBSR+/0Q25A4XzNxE1gua7y6WOJvbg/4ly/Nsz4KkEWRb52rI8kiuqpyrm6hSgLv73p87VyVnh+hSQJdJ8JQJG52HBZKGm4CVVvH0hSCLMfSZb5xvs7wQCZSeNwWExUnitFEgZ6fFPrZHPw4RQH2DiQY6sGkRhRFuk7Eoq0WSWozpEMR4EJd5+2dMatVAziwuHtA4YVZAnjaZKejxONYUjPjOPKgqO/sdU8zsX2U4jCTz+e05OtJJG6ddF8PO849C6RvVpp13KT/UZLlTrrO5/FdfFFwRnTPcIYzPBIeajA+IJzHDeJHB+Sj7gyT7YYmIUnCJxwVJtvTtCAmsx68s+4NcPCAiYqkJEsttpcMpUgkUmXatkbV1JgrF1ZjKzWDPTfljeUq8xWDD/dcfutcjR/f66OIOUMvpOcVFdrudN3CikyQkCSRKIwYOgFvbgyQhJyBH3NzL+BWx2HeUuj7GU1bZ7Fq8tVzdVJR4uWFCm1bpWKqNEyNsiFTs1R2hhEtS6aqS/x/39/matvEixJUWcQJMr651kBVZBYqOn2/0HeulGRkSSTKBP7xlTlu90K+vlLmw+0xFV1h10mQEei5AaoiU7F0lms6Azfh6lwJPxFYqtqYms6llo0hy8yVdN7f8fjKShk3yrnatnlx3uaDXQdVLBwYPup6vLFSp2HrBEnKhZqFJEuM/RDHj7jSttgaF5F5N4hxopieF9GyVK7vu1xqmGgHVcp0USwq0x1IE8hhHMTsDkOg0P/KisxyWeOjPQcEuNyweH/f4bmWxeYopGlq9PyEuimzVNG52fdZrRrT9tYu6cQ5qLLMV1ZrU3KXZtk0unqULEwKj4yC6BOay9NKdU6SQUwkNcdJeI7Dafvho5Cnk+QaD9r/pD7+OPEoJPdJkb6HkY5MVpxOmrTM/v4s93PSdX5TSe8Z0T3DGc7wyDjNwHn04X3c9uMe+LMDtiSKLJQN5svGsQO3JIoE6cGSYF5EgPfGwVSucOg6k+z4g6z2NC0Iy87IJ80+LhXsH0R0lysaaZZxt+dxtWXxUcfhuZZN3y/8WlcqBhujAOsgEtyydeZKGoIk4qc5V9slRFFkoaxjGYWzwNvbY16dtxkHCXVDRRUFXp4vcX8QcLVVZr6sU7F01ho2siDyykHlsf/9o33++ZUaP7k34ttrNTRF5oX5CnVb43zdZLvv8NK8yShK0TUFQRBo2wrXdkd8+1yV/3arx5ytsjsKaJoSO25M1ZBpWSqWprBQtliu2yR5jixkCHlGZ+SxOw7xo5h7g5DlisLmKOCbF1pcnq9hqCpfO1fjdt9HFQUahowfp3y4O8ZSRf7/7b1rbxxHmu/5r8yqzLqzWEVS9xtlt3yZ9ulDtfvM7ODMOTMt7uDsq8VCHmNfLywD+wEk+N3MK0P6BlJ/gXVTX2CXamAxwGAb0xbR0z3ukdsWZUvWxbwWWbesrMrMfREVyaiovNaFLFHPDxBsZkZGRkZGZf7ziSee51W9jWwqAce2oadSKKZ1LOQ1qAkHu+0uzhWzLPyX0UE+nUTTtJBLqfix0fu7YzHRm1Tww34bWU1FVmfhwy7MZlHQU/h6s44rlTR2Wl10HOCDkwW8qJk4XdTRtmxcmctBVRR0HLhitmEK08XSB9RCIY2OnUAxzZJEyPGfmY94p883fBifdb/fw2ES9TcclbAP2aNgUn68QdcmbxN9iyd5j4M+No5a7B8VJHQJghiKOA/OYX2GRVcE+QXBoyvwKea0yhadbbc6TMD2tnM2akafhQpgi9AMi8XTnc/p2G4yS6Nl2disG1jIp7DT7GK72cG5Uhrf7jTxwckSy7JV1DGX07BjdHFlLofNugk4YEIspWI+n8ZfnJrBhUoOlyoFvHeqhJ+dLeMnp2bxl4tzqHcsXD1XQj6dwkxWh+MAV+Zz+HqrDl1JQFOArm3j3RMFfLtrYOnMDP7TmQJ++7yB//O/XoaFJNIpFVdO5NhCOT2FM6UMvq928X/8lwuoGjbyuordehdzeR1//LGOv3t7DqZto9lxcHpGR1JRkVRV/P75Hk4VNDhwcLKYxlxWx/lyFi/rJi7NZfFjrYV0ilk525aDpMJ8iGfTSRTTSdTaHXxwqoAfaib0FKvvfFHDkx0DJwo6GqaFs7M5nC3nUM4xy+y+0cWF2ZyblCOTUjGrp7BrdNHsWDhf1LDVNDGbScKwHGw3WTaz3VbXTRrxbM/AuZk0rizk8XS/gw/PzyKnqUgnFTQ7FioZlh54u8VEqWjJ5QsagQNLv+gryV0YvPxpja6NS5Vcv/XXGox5G+d3IMdDDft9jbo4Lco5Rq0fmJ4MXJM4v3xtQT7VXr7Fk0I0FATNIIxCmP/4NEFClyCIyIyymCzuedJJpeeP6b0ghluKeegw9//zOlRVQTGtoZhhvrMbNQOl3n+5z3AqAXy308SZgg6AhXLii9cMy8G7J4twoOJiOYvzpQy+3mzgr87P4lXT7KUetqEoCpbOzODbnRbKmZ41UlNxopDGQiGNubwGRVFwbiaNequDk7kUvt9t4kQuhbfm8thr23j/VBGXKjnMZHW0LQeOY2Or1cZ8VkPd6KJqdPH3P1lAtc3Cif1PF2ZRbZpIqQl8cCKHL5/to5ROYiadRFZP4b+9VcH/+3gbb83qeLHbxJ5hotrs4lxJw6ONJvSkClUB/uPHJs7NpPDvL/bw3okM/vX7PZwqZnC5UsAvLlZQMx3871fPQ0tq+Lu3T+J8uYCfnS3hrfkC6m0basLB1xv7yGsKaqYDRVHwViWDb7eauDybwdfbTbxzsohW18L5UgYbjQ5mM0nYlg2ja2FGT8K2bZybSWOn2cXiXAGplIqfnWJJI7p2AhfLORT0FHKaioW8jt8+q+KtcgY5TcV208Q7C3kYlo1iWsOH52fZuNCSqLYtXJnLuXFxzxR0Nxay/LHDXRd4ZAWecpqX5QJUFg18gSNwECUhbEz7IY9Pfo4g/+Coi9OCzhv3NzysMJ6UyI1iSZ00osgV+8bLen+Ygj/qDMIwRPEfnyZI6BIEEQmvl9ykHm45PYmnVeZL2Wd18xC7sm+ba50TrLkLBZaIgE81F9MaOg7w/qkintfaTOT0Qkk1zC7OlzIwug4ulrOu+Lkyl8OLmom/vljG02oL50os9fC/fLeDK3M5bDVMZHXm+6uqTHAz31+VuVUkgD+83MPZYgrPqwa+rxq4Mp9z/T1t28baD1V0ujaSioJntQ4WCjrq7Q5Mq4vLczmke2lwL1fyuLJQxI9NC1cW8sgkVewZXVysFFDQU/jvi3P4drcNG8DJGR2O7eBFtYVsKoFvt+vQEjbz721b+OBMCT/sWfi7n8zhTDGDp3tNfLfTxP/63hz+49U+Pjw3i4WCjrlCFj+Zz2Or0cHFUhrfbjWhKAq2Gh38pJJF23LQthx8cKqIjWYbPz1RQALApVIO31dbeHc+jz+82Oul52W+tfl0Cl9vNfB2hUV5OF/KYLvFrOcZnYlbw3Jg2TYeb9VRTKl4tme4PtXcFYXDx2jTtHoZ8lQsFNgis1TCQa3VccfQRr3tikuvCB6VrNZLJJHERr3d5zfukjgYh+IYjRsdYaGQRrXdRU5L+mZPi/KR6WVhjBJuMCqydTuMSU+Xe4n6o4paIC/e8ytzmEzy+RzFf3xaoIQREpQwgiD8GdY6E/c4/sLi1rU4dXDhWGuxTFbFDPOztCwbjU4XuVTSDcTPz+P6bKoHvr7ppAI4BzF2Ldvu8/H96uU+9lpt6IqChuXgTEF3F7bxhBUACyX2tNpCWk3gm+0m7N70/9XTBTzeaeFSJYcf9ww8rTZgtDv4ZruBnJbCXD4FBQmcmMliz+jiREHHv7+s4sJMFrai4CfzedSNDpIJ4P97uotfnJ3BN9tNVPJpNNodbNZasG0He20bi3NZbNQMzGZ1PHq5h64D/PxCGc12B+2uhZPFDBbyaaw9r+LDUzl8vdOGaTlYnMsDAGotJprbHQsOgI1aE1oyiVyS+dIqsPFXl+bR6Fgwe7FvWx0LOT2F9a06/vPpGfzHZh2n8in88dU+CpqKuV5khZ/M5fDtTguzmSS26yby6RTm8xrSSQXPqgbK2SQ26yYSDmA5NmayLLYxHx+WbbNYuhb7MPlup4m3K1mW2ayX9KHW6qDWZuPhZDHj3t9HG3W8f6roji8+TtwIHb37fK6Udu89389Frzxtzev2WggUNH75frmcuFJf/D14HRtU77gQfzNRri/K+cWPjbht8fJFHcf1+l3nsO0ixg8ljCAIYuwMK3LjWlm4xYCL0SjnFlfRq4qCQjoFw3Lc47ZbHRTTWs9F4SDE1NNqC0DPZ7PVQSXLhLHRtQdWwPN9jTZbxW92HZi2DV1JQE8l3LZsNtpIKQ7SyQSeVluoZFP4vtrCyZyGTErFB6cK+NNmE5Wchu93W5jLa7hYKSCfy+CX75zGX5wpoZjWUMjqaHUs/KSSxTeb+7gwm8HXW3WkEg6ebNahKAo2W138j3dP4A+vapjPprDXbGG7YcCBAzWp4C9OFdC1HLy3MINau4tzJR1zeeaiYVoOLpSYf6yiKPgf757EHzcNnJ7JYD6roZJOYH2rjnRK5cZLqAkF758qo5DW0XVsJBI2cikV6ztNOJaNUjqJP2/uY6tu4MnmHmZ0Bc9rBj44PYPtFku+MJvV8arWRiWn4Y8/1nFhNoN6q4uN/SYUWL3QbgZO5zVs1ZhFP59J4UQxjYU8czXhlv7NuolHG/tomSbWt+o4N5PGN9tNXJnP9Sz7LF1wKplEIZ1y7+fTagvlbL87Cx8nvEyj3cW5UvrAhcbsulZccUyKCyeDrK1e47XR7uLJdsO1JMvikdfLMwPG9eWN+4EZhtf1BblSRBG53LIel0ku5htlSv44idxp9r2NCgldgjhEpuWhcZjtEFcbxz0uyqpmPlUsZj9bKKRhWA7zDa0Z2DdMlHQVDZMJradVltXsq5f7KGls+3bTxEJeZ9bXpMIiNkjuD/J1XDmRRzGj490TBbysdVyrVCGdgpZMwug6WMjreFY1MJ9jIjubUtFsWzhT0LFZM6DYNh5t1pFOJvCLMzPIplTMZTScn80hm1Ixk07iX3+o4m8vL+DJDnN3eL7Xwp5h4A/Pd7E4m8Y3W0387dvzeLzbQiWXBhzg7EwOtpNAAkBSTeD5fhPvLBTQgYL3TpZQybKYvH/abKBm2tCTCTzeqOPdEwXMZpKYL+h48O0OfvlWBaqioG7amM1quFzOQVEUXJjJYK6QxfnZPIo5HbNZDadn0vjt9zs4k9dRNTpQFQU108JCPo1KJoVyRsN7J4podh3859Mz+PNmHRdm2GK1DoCFmSw2m8yv9p2FPKqmhXwmhXIveYPRddwQcixaBgtNVs5oqJs28ukUVFXB+6eKMLosTXBaTWCrbiKdTLhjpNHuwrZ6ll6jw+6zw9wZzhT0gyx6etKN+MF9waO4DAy4OHiMXd6WfcNESVPxaKPumQiB18vHbVCZURhlcWkc8Sufk7ttTDLV8bAEWcnHsRhwHEzyfHzB77S8t4aFhC5BHBLTsjr1sNsxympjv5c4Tz7hJqHoCVV+HuZjmcLTaosljOj55HJ/zkuVHJ7X2rhYzsLoWfLSqoJXey1UMikYXRvP9oy+dj/ZbrgWtZzO6iymNbx/qohneyyr1lcv97FvmD2RbCGlOPjnx5tIKg7gMAF8YTYLw3JQyLA0t6mUirmsBqProNrL7jWbZZEGNDWBrbqBX5wt4eHzPVw9W4SaULBQzKJh2sjrCv55fRuLsxn89rsd/NdLJXyz1cC7C0X8eauBq6eLeLHfguIkMKMn8Wy3gaUzJeT0FPJ6CmvPq6joChyrgz++2EPXsdC2HJSyzDf2f3v/JP7l+yqqRhd/fb6EtuWgA2Aup0FPskVY5ayGhVwab89l8fuXNfwvV07gu702/sv5Cs7O5vB2pYD5vIZnewZ+MpfDTquLX5wv4bvdFi7M5tB1gK2GiVN5DbV2B8WUin2jg+2miUuVHABg1+jAtmykFMd1IVFVBd9s1nG6yEK5VbJafya8pMIypnUsZFMqspqKZ1XD/YCZz+vYM203prKqKrhUyQ2ILjHiR9BYFsUtt9D6faCJMxbFtIYO4IpzP0swO3fKtWR7lYlCkOXXK4JAlLq8LLdhAlx8Dk2jyPWDW/9lASh+cB/ms3Xi50uEF5l2SOgSxCExLatTj2L17zAWXT+42BBXx6dVxV2cxH1tN3sZtKyez21OS7rJJBrtrhs+yrXUWTbmC7rrW3u6oOHRRt1deX+mwJISiKuNubh5ZyGPf3tVw7kSe2FvtzpYyOv4dquJQkpBtdVFIZPCQp7Vn0o4eLLdQDnLLIZ6MoFOxwLAIj7stW1cmM2goKWgaxrSegp/dbEMo+ug1rHxwakCZrMaGqaFi+Us1ndb+MuLZTzdNbF0poSney387HQRj3cNfHB6FsmUilI+gw9Oz+BlrY1kwsFm3cCH52ahJJPIptM4O8siHKQV9mY7O6Pjd8/3MJ9N4Z1KFr95vI135vNIJxPIaSr222wB3X6rjVbHwmbdxLvzefzu2S6WzsxAUZhwVHqZyc6V0nhRN3G2qOPpbgs5XYFt29hpdfGfThZYKLPZHFQlgVxPfH71ch8lXYUDoJBJYc9gVtqFQhqbdRNLpwp4Ve9gsZLDhdksi20ruJoU0xoK6RQKmRRURcG5Utp1Z3i2x6zj4jgFmOVejH7Axxy/535jmYuOJ9sNnCmwmQEvdwVx/PDzcqEX+hvpragZVtxEdXOIao0NS1sbdD1Bz6GjNgaEwaNseLmuRHm2juv6Jv0s5zMaR/3OGhUSugRxiEzLA+Mw2zGKRdfrhes+3HvW2ZyWRKMjLATqLSg7Wcy4Prnu9Tr9dTTMg7bxaWkugPnq/yfbDXd6dT5/cB2i7/B2L+SY0bWhKsyS2DC7ODfDprzzOluktm8wa9wWX0RlWpjPa9hr20DCwY81A//+sopOp4sf9wx8V23gfFFD02RCUnHA/HW3mrhyooiTRRbt4Geniyx7WCENPZlASkngz5v7OFnQ8YcXu3i7nMaLvRb22jZ+Mp/Hi6qBrm2j4yTwwekZ2LaNt8oZ7Js2zpaYiGyaFs7MZFDQU/j9qxr++mIZf3hVQzmdwqONOppdC7qagNG1kNZUVI0uHv6wi4uVLFodZpnerJs4N5N2Ywzz+5XXU0glmIA9W9TxvNbGh+dnUciksDifRzGjoWF28XYli293Wrg4m8Vm3UQq4aDTZRb7908VsWXY+JvLc26Wu0o25YrSSlZzfWt5IhBVUVhSiW4XM7qK7Wanb2EZwGYLzE7XzXrGp295Gusgiy63QlfbXdeXWC4zit+nqvq7T4hjMohxpQwWrdLDirugD4ZpFLuyLzZH7K+obivjFLty/eNkWt5Zo0BClyCIiTLqy93v2L4wTClhfwJuZASxHBcKYl1pVemz0OW0pODukMKzqoGSrvbFUkUCfVm1RJHMxTePr2pYDhaKaaSTCWzU27C6DrYaJgp6CifyaSgK8wUuZ5J4UWvDMC0UdQVVowvDdnBlroAf6x3U2x2czmvoIIFXDRNvV7JQFTZd/3Ylh9+/2EfNYMJ8r82m9d+dL+LfXuzh6pkS/q/fv8SpQhKdbhc7rS7shIO0wtrYMC0UNBV//LGOv7k8h2rbwrmZNL7erGOnYcJJABdmMni0WUMxpeL/+WYTOTWBTreLjpPAQiELo2PhZbWOop7A06qBkzNZ/LDfRr3dwbc7LZybSePZHltc9mzPwHxew8U5JtJ5CDbRDYXfi2q7i/dOFGBYNsrZJNq95B68n98/VRSOs9yseFx0svB0nb5xc67E+r3jAAt5lvWOuxo82W64gtjoOq5wEeM18xBSXguvuAiWw4TJY3pYRCuwTJiAEkVanHMN2544bZOZRGKDcRD0PIpqDR/3DJfINH8kHCUkdAmC8GVSVodRj5UtKGJ0BHGqjS8y8qqLr6DnookvDNprtvFqj6UDLmeT+HqrAYCHd2KRG7ggTieVPl89LiQ6DhOQb1ey2Gl1oasstuuO0cGpQgrNDguHxeLE2nhabeH9hTwUVYENFRcqOVyZz6HjAPOFNM4UdXy724KmslS6TIyryGgqvtqo42Q+hVQC+P2LfZTTSfzszAyeVA38/ZU5/PZpFX//zhz++LIGVVEwl9NwZa6ADoByhvXXntHBmaLOrNd5Hb9/uY9cMgHT6uJlrY0TMzosJ4HNBosf/GPTRDKhopLVMJfTUM6yFMJGJ4FL5Sx+rBmoNltotJjY3Wyw1L07RgflLHMh2Wkyl4Wvt5jIrBkdfLfThGXZLB2zZaNhWq6IzfXi7ipcoAuW20cbdTcGryg2ja7N4hmnDgQZX1x2qcKiMlhd5vf7aKOOMwUdDbMLVVX6sqiJlrqGKWTkk2Ya5IQUUcZ90ELLqIh+v37nHLVNoxD13HHFeBiTEH6jWsP9ZrjG0cZpcY+bNiiOrgTF0SUIBn9JiIHyp/kBKrePt98r9qi8j//9aKOOGV1hlsq83ksqoKLatpBOMl9TVVHcUFTcuiiKIO46UclqeFptYSGv4/FWHfM5DaqquFPwSLDjFUVBKgGs77agqwmcKbJMXelkgon0BPD1Rh05PQXFsfFir4mMnoLlJFBMqUDCQTHDpsltm0VP6NgJJtJ7K/n/+HIPmppAVk/h3RNFNE0LzY6FUzkNe6aFaquNZELBbDYJNaGg0bGw0zSx2zTx3y/P4dsd1rYfa0107QRyegpFjbU9p6kwug5s24ZhOTg7owMO8M12EwDwzkIeNaODbEqF2lukV8mkXF/oSjblxsvl8XDLWRaxgscgZouwOqgbLLta23KQ1VQU0xq+22ni3Ewa260OE6/CR4fX2BXFa6PdxUa9jUqW+fDyqBzieBL/y8Wtqip9swbimAoTOXI75GPi/u6inDcO465vmPOPel65nyd5HcPU7/esIpEaD4qjSxDESIjWgcOYEpMX/8Q9VgwvBvT7EHrVK+7jZd8/VUTHSeBSJYecnuz5W7JwV6qi9LtICOdx+8fNyMXq41bDnKai2bGQ05LuOVLJJOZ7fpyqmkAlq+FyOYOHz/dwqZKDqigoZjTsNLu4NJth6XMTCmZyGeRSKubSSfzpxz3stzsssoCmMhHYYSIQDnCulEGjw1wTNuot7DcM/OllFfutNmY0BTtGB1lNRS6ZRNtmbgHPa22cm2HJHD48N4tvd1o4O6P3wpQlkVKZwDYsBwkwLc4FNvPZdbDT6uKnC3mcKej4freFrKai0Vtsd76UwbM9AynFQdO00Gh3XWGb1VWUs0ls1Uw3zW+udy0AcLaYxst6h7kVpJL4bqeJ03kN3+82UcmkBu6vPLXOk4lYFvO3tSxm8eWzAPyjRxS3YnxbN2GIJHL5OYKmpMXfUNDiJfF3F7TQy6t8XLxi1x61VXBUi7P8rAr7SIiDlxV2mOei19iJG/GCiA4JXYKIwJv64BGFwrhffrKw5dayKC93uQ4uMrxijIplxVXiXmzUjL4p642agbSaQCrBXBH4YqBimoUDc6fJPXxCXStgL+pDVlPdOnnKW774TVUUXCxn8afNJv7nt+bwfz/6kdVtdnGxnEW946CYTuHsjI63K1kUMzpsRcHVs7PYqrVR7EUw2GvbODGTZnWqzOK6WMkhmVTx3slZnCzlMJdPY76QRsdJoNCLT4uEgxP5FLYaJn56Iu8mcTAsFv0BDtDoWMjrKcxldChqAgU9hbmcBlVR0OxY2GvbSCcTsC0b52bS+Ha3haZp4VJJxzdbTeQ01f0AmM9raLZtlDMsjBp6/rLFNBP2lmOjZnSwb3RYhrQ9Awt5HS/qJsqZJGbSCn7/ch/nZlgkh8W5PFRVwUa9jX3DxH7rIASXuHiwktXwrGq4Flnub90nhIWFZ/y+ptWDMFjyantxrARNScvuNuL/e5Xl7RXFs19ShWFFrl+ihsMWuXGer1F8YOO4SUQ9t1f5cT4Xo/r4iu0hokFClyBCeB0c/MfZtqAXyDjPMdCnvYVE8ss9qA7RTzLK6m8xJJksMPYNk6Xu7e3jQkNVFVTbFhPA5oGwYaL2oJ6FQpoF/c+k+tqV05JQFKXPavhvr2o4nT/IwAawKexzpQx+92Iff3NhFmvP97BvdPBqny3mapgWmm0LjV5EgwuzGaRSSfy3t+ex37aR1VQ3vBmvMwXg+90W3lvIYz6fxnsnizg/m3HdL1IJZo1NJZPQkkn8xakZfLvTwk9P5FFrdZDotf+b7SZO5TVs1Q0Uen695QwTin/erOPiDLNMF3QWymu71WEhxlQFPza6OF3U3fvLKeU0FDMa86EV7kU5m0Sm5w6R01T8/sU+Thc0vNpnmcyapoXne20szqbxHxs11g6wukuayjKp9QQs/9DgHyOPNup4u8LSBDMR20FaPVhUWMmyKB08Cx739fXLhiZHY/AaV37WRT7G+sZzz9LM94tuN6NkEPNi1EQNwz5zRrWKRhGXUSyjQfV4HedXfpwW47B2ifX6ZaIjBiGhSxAhHPVUXhjjFOKHJerlPuULyrhYFVP/BiKtMPASD8CBpc616Kpshb27v94GHLjuBWIbFwppXKrkXMuemyq2abplG22WxvV0nqUR5qI2p7OwV2k14VoFG+0urszlsGMwyy8X92vP91DSWUawV80OLsxmYFsOGqbFFlllmPW13XXQ7FhIq8wK3LET+PD8LFSFLZbjaYoBAIqDbErFXpvF2+U0TQvlTApfbdSR1VSUM0mkVRYSbenMDF7UTBQyKTRNC9/tNPHTE3n8/mUN7y3ksdNirgZIADvNLv52sYLf/rCP904UXEvp+VIGjzbqOF1gbUmrCv7wqoZ9o4P1zTrMLotl2zCZj6zYX6qiQEsmMZ/XsFU38dOFPF7UTCi9SAjZlIqFnkX6fM81A2DCrQOWKlhVDjLb8dBzjXYX52bS+O2zKk4XWAroSiaFzXqbfZjw7HiFdN9HE2+T64ctiFY5GoPo3+s1zkVkVwY+FsRtPEEJtyaPO4NYnLrk31VYhAe/7XGsoqN8dEd5loXdl2HOG+f8cdol7x8mE92bCgldgojAtIpcYPzTZ3HqGuWh6mcZieoTzIWGKG69/CC5tc2wbHfx2Ga9jVTCwb5hugH+d1pdzOfYAjSvNvJpa7W36p+L3ifbDVg2m7b/83aDTdGLlrueP+d2q9Mnfo3eav+0quBptcXEb6uDnJZ0Y7AqagLzec1NNIEEYNksm9d2i6WurWRSLDyWqiCtJvBoo97zC06iYydwrpTGfE5zU+du1dj0/7fbDfzi7Ax+2GuzRWI9kf+02sI7C3k82qi7LhE7zQ7emsuj67CsaHDYQrr3TxXxzXYTV88U3UgJALMoZzUVP1QNZDUV326zeMCbNQNOAthtdlFvdfBitwUFltvn/J6lkwn3Oqu9WMOpBFAzOrAcGzb3rVWVgXi1Zwo6i9vbs8LmUknXktwwu3h7Lotnewbzu1YVFHofEPxeeFlfReuwV7QF8b9BVlwvgQccROsoZrQ+0b/dNPsiexxmBrEgYRsmTuU+4sSxisYRbl4ft8M+F8f1PJ20gcSr3mk2yBwlJHQJ4hgwzumzOCJ3UhaEqNN3sigWFwS5dWgHllm+vZBJQUsxSx0P8P/+qSK+3mKil08Py9cm+lSqquL62BpdJlzPzOioGZ2+zFp8ipwvluKCaSbNQo4ZFlu0Zli26zPLRVcxnUIxrfWsvik0epbYnRb727JtbPaiBjzbM7DVMJFUHFQbJl7ut9yFVsWM5lqfszpbSHZlIY9//WEPb81msFk3UW/1IhBkUviX73bwl+dK+H7PxIliGoqq4O1KFs/32X5u+d6oGbhYzrr+wNxlYKP3IVEzO6j3Qn7ZCRWX5ws4WUzjRDGNuYKGVErFRsNiES56fa4qCoppJviyusoWowFQFeZTnEoeuBIsFNJ94eQWCmm2mK50ENeYR8BomF1XSM7nNdcyz32uB5KL9NioGUglmNXf/Vjy+RjjY9Br7IofXuJ4AtBnPR74uBKycHkJOq/fxahEEbaBz4mAWE5Rny/D+NoGfWTEIa7ldtR6Rr1n/LoJb6hnCOIYc9RidNT6/RBFg9gOPt0rXq/8AuBlAPRlRduoGXhrNoNvtpt9Icf8fAoBuP6+3L2hYyeQ1VRYlt2XWauSSblT6Dk9iWJGg5ZM4mQx03cunmiCixsAbsiy7WYHl+fy0FIq3j9VdAVhIZOC0WULwOZyGvbbNlIpFQt53V1oJU7BZ1NMOG7VTBQ1BT/sMeHVdSxsNUx8v9vEYpn5Eb89l0W6ZzX9Zpu5MHy91cB8Tsd3O83eIr0uimnNtawyF5EE1ncNmBYLo6YnWb/ktGSfa4WeTOBUXsPjrTqqdROv9lvYqLdZe3vC3LLsXsg2Fm6saVoop1N9lnd+XwC41w3AXZT2qBdmDYCbEILXL4417iogktOYNT6dTLj3hx/Ds+uJ44KLXRn+ESaOT/cYM/j3KQvrsLE56u89trBFvyVVXrAnl4nTjjhtDbM0j/s5OI7+Hkcd0+5ed9SQ0CWIY8xRitE4DPMCFEWDOH0s+/76hW+SF6/ltCQM23Z9WYOmWbebpttuUbjkerFdVVXpT1KgMlEqWuW4hZmjKoobWxZgFsQUgB/3DDd8ltwO7t+b09g5dlosCUPTtFx/3T7rcm9hVVpNYKtlQlMT2G2z1MadLksgkdFUtLsO5nIacqmka+W8WM7ihz0DZ4vMjaKcTeLPm42+NjGrKPMrTiYcJBMsO9xuzwINwLW0MqGeQscBThbTMGwbz6otlDSVZSjrCfNiRnOt3o826m6khfOljBtBg7uPiNfZMC1YtoP17QZOF1hSCYB9+PDziwJTHlOicDvVSyctZ9ZrmF13gZjoiuDHwJjzOadbvySevQRdmL/rsALKyyLt97efJTWKOA8jSnk/QS5+UPCwcuMUu2HCetQ64raF8OZIE0asr6/j1q1bAIByuYxSqYTbt28PlHvw4AFWV1dx+fJlVKtVAMDNmzc964xT1gtKGEEQhwt/AQ7zsPeznvltj1qf1/Hivv2W6YpLgL1kNmoGUgA6gGsh5tZa8cVv2TbzcRWmoy3bxrOqgRldhWHZSDjAfEFniRQySTQ7luvWUNJZalygl8JYSJRgWTa+3mrgVCGFdseBojJ/V9eKqR8ktqi1Oni218Jb5Rw6YAkqeKSDhmkhrSb6EiOwNLnMZ8DoOtioGZjNsAQTWV11RTHPIFc3OujaNrpOAm+VM6i2LbedbvgvIebwvsEiIKzvtvDXF8tuoggeAYEvbttpdnByJuP2+5PtRs+tg1mWAbiJH373dBdX5nP4erOBpTMzrgWWCWEmUv/tVQ3vnSgMWCAtyx4Qtl7w+wwAT7YbrivLMNPfXr+DsDEZ9NuJ+9uSx6o8bmW3DS7sRcHt97sJ+v+g9kRpf5S+GdWdIQ78A0x0qyHGT1S9dmRC9/79+/j888+xsrKCxcVFAEC1WsXnn3/eJ3bv37+PL774AisrK+62Bw8e4Pbt21hdXR2oM2pZP0joEkR8hhWW4zperiuucObijwvTfcN0LbBynXxlvFcyCn4cwFMGM2ud2BY+NS6u0N83mPDbrJsopFNIJxPuan4eMaKYYX6mm3UTF8tZ7BsmtuomLpSz7gI5y2ahsWq9hWtGl2UZ43WJ18pFsm0f+AbzafSmabHwY0kWjcGwHJwp6HheayOnqWxRmG2jYydwsZzts4xatu32wUa97UZguFjOuh8ElmVjp9XtuTOo7nU2TOsgG1omhc1GGyeLGbeeted7eO9Eoe/e8X4WXR0aZheG5aCkq3hRM/HOQh5Pqy0ALBMb/9D40481XJrR8bJmYnE+PyDsvO6xLIjF+1rSk3hea+NSJedu88u0Jo8/v33y+PNyCYgqLoPg5+B9KYtEWfjL4lz+/6AP0Di/0bD2B9UVdOy4njlyPbyvuE84Cd3JMdVCd21tDb/85S/x5MkTlEold/tHH32EtbU1PH78GAATvpcuXRooBwBXr17Fp59+ihs3bsQuGwQJXYKIh9+LZtziNa6FLOpLjwtNy3Kg9fxXuWVWzIAlvtjF+KZ+omKjZvSFKuP7vSy6wIEvLreK8qn1nJbEvmHC6DrodCxkdQV7BgtZlu1FDpDbslEzUDM60NUEdptdV8Tx0GpMBDNBYtk2mm0Liqq4SR24xVdRFZR0FR2nF4/3RMGN3tA0LZwsZtw6vtthKX9zmoqTxYx7zV+93Ec5m3Qtt5ZtY6tuQlcTQAIopFk4MP5BIFpjz87o7j5u0eXpmHl9cpYyfu2FdMr9QNiot1mItySLicz9eBcKaXz1ch/nSmn3Y4HXxa2zcppo3kbLsoEE+j6IRGHLhW+13XWFIw9RJwvGuFZLr3Eklht2hsSNUOIhVsNmT9z4v5JI9mvXKM8HL3EZ9/kwjpS7Qc8+gNwJJs1UpwC+desWPvvsswFBury8jE8//dT9+9e//jUWFxcHygHAxx9/jLt37w5VliCI8eHnF5YeOMwAAC0ISURBVHiYsX3lfX7TmF51cF9QVWXiicdj5S9s8aXFr1UUlqIPoixeeLitwXMpfeU26u2DrFuC/2hJZ2luWdpZFYVMEnsGW3iW1b1FbqPNBNzJYgYdJ4ELPZ9jrzBrlSzLRFYzujC7XTcSQU5LIquzBW0dB2iYFhaySaxv1ZlQUxRXzOb0JJ5VmYC2e9fLLbwbNQMzuoKtuontZgcNk0VrOFFMo5TTUcrqrrV5u2m6AvKrl/u4VNLxdLflCloAMKyD9okxg+X7Wu5ZqIsZtp9nius4cNMyc99avrAPQN+95JZo0Q/c/TiwmNCXowuI1l8x7q37G5GST/AxEUVwyX6oYjSGYerzQo4fLNcr++Xy7dxth48fP992r7TMcfHKnBi3rnH6xcZNIjEM43qOvqkcukV3bW0NV69exe7urqcoFVleXgYAT7eD+/fv46OPPnLriVM2CLLoEsR4OCyLblSLcpQp0ChWYK96+aKwoKllURiIbf5up4m3K1l8s93ExXK271pkq6JoJZbr9XOVENvHp6Vl0cItxjxLGZ9+NayD5B0v91soplO+Vu5HG3XM5w8SRHAx/2qvhWbH6iWmSLkWVbEftpumayXWkwl07ASLrpBNophmFtmT2RT+vedrK1pZ+fnFhWCiG4qf9TDMrUDMdgb0u5pwtwYva3JYrNth3ArC6hlnWfk4ES83BXkGY5KuAuJ4idPPh41oGR91liuuJTyKv/JxYWotunfv3vW1vMp8+eWXrv+uDN++vr4euyxBEJMn7lRinLpkERnFohzHYhZ0XjEWKq9fTP/qJQ54VAAxHS23YL6zkHdTAjfMbt+1XKrk+jLFpVUFr/aYrylPYsBDnfGXv9fLTBS5bna45MFUfTGtuX6lHDf+bK+9p4qZPpEtn/udhXzP8nxgtczpSRiWgwuzWRTSByJ3IDSclkQulUQhnULHTqCSTbmiuWF2sZDX8arZwYfnZ/ss6vw6RUurZbP6xDHgdV94Gd4XYlgxbhXn9ZZ6Hx38nNvNzkDUjCfbjUgpemWr/zCWtrBjZcvrsNEOeJg8MRGIOLMhXr/cH3HaGxV5RsUPL6uv2JZJ0mh7pzEfpg/EmQTxwzDovnvtH5cFWzzP68ShC90HDx64wvPOnTu4c+cO7t27h1u3brlREjjVajVUEHPxGqcsQRDTQ9wXQBQRG+XB7vrGtqPH1+QClYft4kKvT4xKQnK7aaLSi3XLQ3Xxciw+ron3ThSwY3Q8ra2iFYeF9Urhu52m69bAfUblUGsiYsIMLnjFF7FoxeVtl8tw31weH5jXBRzEE+YiiK82/+rlPt6uZFlWOC3phhiTQ8Pl9IMU0At53b3+pmmxhW+9TGjiPRPHAo+pyzPXyWJMHjP8Wl/ttZBWmTWan0cMWZbTmSvLN9tNN5zZVy/3+5KKAAf+vGyxXrSFX3L7vMr4ETS+5WsN+y34nYffEzGRhuw+EdbOoPYOK5bCxJqf0ASCBfC44L8LWYzHFZvyh1qUOoL2jyJyx/HhdJQcutBdX19HqVTCnTt3cPPmTdy8eRM3btzAp59+iqtXrw6IXT+4qN3Z2RlrWc7+/n7fv3a7HX4QQRCxifsCiFo+TORyQeqV1jUIbumTxV1f27SDNooWTlHcqYriugYAwHxOd9vG28MtjtwSzLK4WXj/VJEldKhk8d1Os2+KXbwOUXC7160q2DfMvnS3AIuQwDKbWa4lU4zvypNWyH3I0yjLvsobNcN1yXDT9AqOcttN0xWo3LrrIvixZjXV9c3dN0z8+8s9N/VyTmcpi0uailf7LfcecMSPhIH4ypaNrK66MYH1ZALP9pjrwaONuitmG+2uG7XBsm2cLmhuUhHe9pKu4mm11Wet5n0hf0iJYksW4bKADxO7ftujJnsIE378ODkJCyeO6BnVuumHn/VSFppBAnic8PN4XVuc8/o95/w+boY5RxTifjhNkna7PaDNonAki9HW1tZw/fr1vm2Li4u4du0aPvnkk6No0gDnzp3DzMyM++/zzz8/6iYRxLEl7kNzGD83+Xj+MhStgHHOH/RCE7NdcVHLBbIYiks83rD6fUy5BdWybTerWqPddS2LS2dm8G+vanhnIe9aaUX3CN4+HlbLbUvPSsd9aAEmeM4UdHy9yVIg84xqfS+0BNx0vHw/F77pZIKJ8nrbFek5jYXa4n7HALO4NswuUgngT6/2UUgl8M+Pt9wpf7kv53N6X2i0rbqJk3kNv39xYFW9VMmhalpuxreo1ifuLrGQ11FMa+jYCbyzkMdGzcA7C3l8s910+2y7aR6Uc4D3TxX76jG6tut3vN003Q8A/o/3CReWsjVd9HuNYu0NI8pYFsdHkLVXHgeyqBpG9ATVGYegqXq/c4a5PYyCV3+NQtT7OEkLa5wPp0nz+eef9+myc+fORTruyDKjefnTXr16Fffv349k1eVlyuXyWMtynj17hr29PfffZ599FvlYgiCmh7CXoTwlG5UgiwtLdqD1WUEAuKv9v3q53ydwuFWZx9/kvq48zS8PYSW+rJ9WW1g6M8MsiT23BHEl/kE7Un0ZocTr5QJsoZDG81obH56fxTfbzYGwaKKlGmCLzTZqRi85guMKZ564YaPehmXZ/dnQeudl0QgsLJ0p4Um1jb++WHbPyT8Qcqmkm5BDFCb5dAr1joO/uTyH5zUWqeLJdoMluehYboxjLpq9RCQfE1z083ZdquTcKeftpolyNolUAq61mvupek1Ji/FSFwrpvvtWTGv9UR1691eug4tksc+jihhZ3Mt/e8HPd76UCbXWioI0zG0ojhuQX51Rkfss6jll4rhN+SFb6g+Lw7CwHpWwlfnss8/6dNmzZ88iHRdZ6C4vLyORSAz1TxauYYvGvvzyy6jNmhjFYrHvn67rR90kgojNUfpRTYsP1yRfBH7TiDzpgbyf+3u+Xcm60/WylVXMYsb/yalqxXOIQoWX50KPZ+nyzfDl9Lf5yXYDp/MaXu21+kQhFyMAXDHNBeH5Usa9NlVh1nGWZMLuu46+fsjrUFUFF2Yz7kI24GBBnVds2Fd7LaQSQDmbdEX2757uwjB7rhPKgU+0nO5VFER+wkq00C8U0q719lIl5xvKK2gciPfPvc+K0hd3V4Sv1Jfb5bfIUWy3KO5lq36QiPRbvMjb72XJC0pzPIxoHeX3GTSrEqeOqB8TQQvcDsMtwo9pEaKTRtf1AW0WhchCd3V1FY7jDPVPXCQWJeICXzS2uLjou4CM+9tycRynLEG8CRzlooFpW7Awyosg7jVwUVXJpjyPff9U0bVg8ulsUQyKbg8AE0CpBPoWP3FxwK2Q4vU92W6w8vW2Z2YvsQ7Rosnrq5oW5gu6e253sZeDXuKFg9eG6IssWrLEiA7yeTdqBvZbzD+3pPdHTRB9mPt8V02WRa3j9BI09BbKlTNJVFtd5PUUtF6GNe6SwF1BuAj0iocrj1G5L+XoDn74+eDK+M0eeAmlRpstmBMXN3pFdDgYbyxKBff9Fu9rUPuH2Rd0fcMufBuGUT9i5fEg74tyLrGOSbpFEMNz6K4LS0tLodEPfv7zn7tl/dwYeB1LS0uxyxLEm8BhTGlN47lFRhXawwr2nJYcSCbA69ioGZhJK3i133KtlG5WKUG0uNZIjYk2ObQXF4PigrFGu4u0yhZVcbcBUSQFTTvz/+cWTABuRrK0msB2q+O6Joj1yv20UEij4/THneX73MV/jo2cpvYlVPCauucCpGZ00OhYro8wP29WU6EoCs7NpPvcLbjFWRQg8mI0cYyKotLLEipaTWX6BPmQlj0vscWvg/soy+4wIuLCSH7fZLeZcRH22w4SuZP4+B1F5Irt8brfYb6/R+WuQMTj0IXuxx9/jLW1Nc99oiUXYO4SfqL48ePHuHbtmvt3nLIE8aZwlA/fo37we4mVuAwr2EVrqdyWnJaEmlCgKApOzmTwomb2iVgvUVZMawPXxS3BPNoC9+9lqXnTfWI1KMauiCyCudWUC1NVUdyUuqKgk4WamMyB7+Mh0FRVQcdOsFBighj2mrrP6Uls1NvQkwm0TMu1JrsLCRUF754ouBZM8ThZ6MnT/6I4EUUlh/eV2M9i++TrE/vBz7IXNAbFbG3idYiuKvxee9UrW6zH/fsL8suNdLwUI/qo8bpv8kdW2G8lymI+4ug5dKF7/fp1lEol3L9/f2DfysoKbty44bo2/MM//AN2dnY8Bez9+/f70gXHKUsQxPFHttgNE6yd1+O3L+z8IuJLVVUVFj2h3sbpvObGpg06p9h+MZZvJcsSTfDQYOWeJZfX4ZVgwcs/VRTQonW2mNGgJZMHMX7NLs4UdHcRnFcbBz4ypMxsol+x61dq255B9s+XMujYCSzO5d1IEfyeiqHe5OvhsXA54nUFWbf3W6abypaFDkv2Frz5jyc/ke3VJq++B/pTBsv73LEspaUWzzmO9Lp+jGqNdd1v6tMbplPus7A+DHNRmjb3rTeZI4m6sLKyMpAg4t69e1hfX8ft27fdbaVSCb/61a9w69atvuPv37+PxcXFvhBlccoSBPFmEMdCIxL0kvISSX7CURR9IlygXark0AFci22Y7yMv44a06k1Zu4Ivr6Patvozg5mDbRtInmAfZL7ynOYXBBYXZJcquQGhKIp5cRGVaFX2EmXbzc5BVjWP675UybnluYB1RbnqLfzEWLhiWC/gwMrthShoeTQKHrlCxG88+fnTeo1B2e1BFrmymA4ax2FjO6rg8isXtAgtrI6clsQOd33xEfqHzTiEqJeLkrtvSty3CCDhOI7PbZosDx48wN27d1Eul7Gzs4PFxcU+kSuXXV1dxeXLl11xfPPmzZHLehE1dzJBEMcPcTrby++OvxzFzEd8m+zvyWPN8ulwP8uwLHyiCBbZJYLHbm20mWUXDlDMaK4l1UtgiXVY1mBkBr+2if8Vj/Nql1cs2KA+5VZjzkbN8NwmWodf7bdQSKf6RCIvw5M4WLaNjXqbpTHutSesb3gZ0Q2Dk04qeFptuWJfvu5HG3W8s5CPJHREH9Gg+yQfE0dAyffDD95vcoxbfr2VbCo05rTfubys335jb5RrjXP8OHxryT/36Iiq145M6E4rJHQJ4s0kqhjwE8BeAg2Apwj0Eoph5+Db5TrF/wJwY8lyQbJRM1yx5nceXkbuCzmVqdhHAIvDK8aIlQUS/39ueUWi35UiSEBu1AykABi27Ybkkq91o95Gp9uFmmD+zqJbgdh2bmXlfeJ3feK922+xjwe+sE689o16G2cKOp7X2m4IN/FaRQt20P30u7de++T641oLw8Zt2AdHupfsQ4wZHPVcQeOZjyG//VF+k0HtkD+4JiVKJy2oiUGi6rUjSxhBEMT4ed38wYZtb9Bxfv5yYURdgBLFSsVDPcn+nAPTpUKqW/F4P19OHiPVK40sn9rmi7REtwExRa98nqD4rV5+rGIfiQLFT+S6rgutDoyu3RclgifK4HU/rbZQ0lU82W6w6A29c3j1i2XbSCcTaHcdZHV1oI2iJZa5eHQGXFm8RG5JT7qCrtq2+vyb+TVequTwvNbGpUpu4Lplv2Gxn8PwKiePn2HjtcrlZRcc9/o8/IB5bOMoIlc8l+eYl8oFWYhFl50w/Ornx4/DVSHo3EExdg/DV/d1e/YfJiR0CeKYcFgP1HExbHvjvlT8tnkRZUrWtZz6tMNLMHut7hbdGryOl9vJyxtWvx8tF4xe7gE5/SD7FRdHYtYwr2gM/LoAuLFz5fa5124O+iCL/rNyG+S+4JEOuB/xQl7HTrODSob5cua0JNKqgv2W6R4r9pGqKDhRTA8kYZA/MHiKY3Fxmte9lheE8XTLvF/EPuIL6mQXEB6lQTyPHLHBC79yfLs4fqLGa/U7n5dgFj+WoricRDk3HxfDhCMT2x/2nAh7lkRpxygEfST79ec4ed2e/YcNCV2COCZEsUhOE37tDXtYR32p+G2L+1IYsHhJVkG/dvSdy/SPqODXFjm7F0cMI+XiYRnmiAvWuDvAvmEOJFEQ2+4udGt1UNJVVxyLZcQkBWIorjMFHY826n2CjbeBlxfraZhdN5ZwTk/i5EymP5GFFDpMXIRm2XZfAgu5bnlRGRenQfdetOCK0S28rJ/iQr+G2UWj0/VcHCfHufWz7sofMFykDxMXV7YEe/WNV6xjvj/qh53XeXkdokCPS1ShLF5P2DNhks/GsPZNUoy+bs/+w4Z8dCXIR5cgjo5RffLinMdrmn0S7RH9U8VpWtntQD4vx2tfmPuEfH7Rp/PJdgML+YOU5nJd8t/7LROqqoQu3BJFnOwTHHat+4bpRp7wug6/usRrCLqPcl+JfsZyP8j1+Pk4czeHKrc89/yLF/K65zXK/r1yKDG5vGX3FjRq/m4WQceLfTQu33O/Phbvhdi3fueNcq+C2gQEj9tp5XVp5+sC+egSBBGJKL6DhwF/CRyGZUIUZUFWlrD2yMd5/c39G2WR65dRSbRkhVmLxexkfu0Tp6jdKXez392AW/1kC15OTzK/TM2/H+Q+9IrZK1+rl0sGb5N4fvmaxf/nFroga5mXJZPfU4BZzfcNFjfXrw9cn2Kzv12imwO3XvK+lRHPeb6UwfNa21OkiiJOVRQU05qbGU3uczm5BD9e7u+ov6mgsRZUhotyHn5NPJfXhxFvX5Tnjtdvg/t1x7U0TwMkco8GEroE8Qbj98I8bIKE3yTPGWVhT5i11++F6yU4xDqDwi+FuXRwcZFWlcD2y1PU4t9y8gPgwAdWFq+yKHbbYDGBE9aHQa4j7rUIcW6DxIvXNr/+DFoEJYtJL1EouijwxBFeop7//3bT7BNhYnvF+i9Vcp7X5RU316tf/ZJLcDcZL/edKAwjFnk/iu4m4pgS6+ZiOIrPsle7cnpy4KMx7sdx0DnDPpSI1xMSugTxBuP1wjwKjsLHTBaBwx4v/x30AvazUnqJHBEvH1EuLrzivMrt5JY0sW6/dlrWgeiULaBiOxpm1/WflRM9yNclt0cWxq7FuOcCAPQnKIhivfOyPsruCX4W3rAPHTFJRtg4TSsHPtle7fX7gImaIpfXK4do4/0q+0FHRWxrXIEX5UMOgOtLLvssB7UpSh/GEblRF7K+TpbiSXFcrp2ELkG84Ry1yD1KxiGsvQSqnx9h0JStn8gRLc9ebQ97IYtTy2EvLm4x2252BsaFaEHmFk4AoeGhvNL6yourxOl5sR/chWeCZTzuB5FvaDd4W/D87pHskuFVBw+JJgv2vkVr0vnTSZbpLQX4lhO38RTFXtckR9CQjw37IOJtHYfA8xKjcti7MOuqvBhtVPEZNH6ifKi+SRwnoU9ClyCII+d1fajGmTIXLW5eYkdEtl55xTf1EgJBbfTLPsWFsGhZ5KlzxTpEC7Lsn+p33/hCOLkuOdyS13S3l5sF3x6EV9/x6wqLvpHTk70MYNpApAm5br865DTH/KOA1+cVvWEhr8OwbdcyHiTKRX9pefzxjwGvdsq+rX7wjHJx+jlom0gUEenlwnNY4nNYS/Fx5DgJfRK6BEEcOa/TQ9VLwMp/+12Ll8XNS6z4TdXKGZ6ihE3yEtID1yLE3vFzZ5HP4xeaSqybiyY55JaXdc6r3+QPCD/hGTbdvG+YAxZT8XxirNzzpQxrc1Lps4J7LVz0co+Q2877k2cb8xL5OT3ZFwtYtoSLiw5ldxVx3MjJRMS2yL6tXv3ofoz14hj74SfE43ys+rUjyIXHb5t4DUGELT4l+nkdnsdRIKFLEMRUEMfP7qiI+jIP8/kMEstBVmK5DZFfRB5BJMU6VSkWbRx3Fi+hLm5fyOuecX7DhK3YTsvqRUewBlfby64NA/6/PRHZ8bguLnK5xZW36VIl5ybnEEW5n19p2JgQrfF+U/B+7h1iSmFeznccJhAYISOSuNSSgXGZeT1hH2xB+PXVsB+8UX6XogvQcRFwRDQojq4ExdEliOmFv9DivFDlad245/PyyRzlRSnHtR2mLXHb4FdeFAajxgvmdcn1BFnnotQnfxjIglC0cIvjw+ucfm3xikkr12VZwe4fUab6vdoeVB7AgcDuiWXZqh+lHWG/m7C2xRlvUa5rErGyh7kH42SSdRPeUBxdgiCOBZ7+qhFFbtBCpDjHj4txWJWGeaEGlfda8DNMm7xCWwW5TYTVJy6g49P7fj6UsjsHvy55at1vUZ6XBVt2DfETuWL9QQzj/+laxSW/36jnkOsJ2u/3d9jvIK77wrBW2zCi9uckmMSzghgfJHQJgphawqZ4g5CFStyXa5ALwbAvNFG4xMFrmn4cyH20UTMiLVjyqkcMbcU/LsL6PWgKmy9+8yrv5asbliSB1ymnFA67Lq//l88dtNArSl/KZWR3DLkNo47DOMcF3UN+7bK7Slj/TpPlcxy/pUmJd2I8kNAlCGJqGfUFEkWoRD0+anvCLF/DtsMrAkHUc4fVDRykKm60B7OARYG3rWEe+NQGWZ/DxBo/TrbKBy0Ki3K/vcJaiQI6rtWfW3tVZfB1KrY5qA6vaBpREoGEuaN4nWMYkRw4ZiV/3mHG9yhic9Rjx/XhSCJ3eiGhSxDEVDNtL5Ao/odBFsdRzhvkgzmKtZe7VBg9P9RKVhvIAuZ1jNfflayG7VYHudRBO72EXtSpeNHivN00fcV+HFcALyv9Rs2IHIJLPE68J14CPEoWsIHrceCbhEOsO6hNclmv2Q0/C3kY4kdbUBzlqHWNMm6jLEIT/ytCltg3AxK6BEEQMRjG/9BPYMU5R5CIlrOZDdtuHiN3u2nifCnjW5+fFRLAQdSCnk9rUJrpOH6VXIyHWYmj1if+zeMURwnBNXCc4Cfsde/Dkjh4ZY4L8wcOurYoERe4yA1yhwn6wAkLAeZ1jN/2qGJzGKEadI2T8KclH93phIQuQRBERKIutgnbHlRPFKucvJ0LND/f37jt5iGq/OoLEnmy5VmMIyu3KYig64/Tb17lvMpwwRkm7GWLrbgtyr33u6Yo5aMQx//Yzx0mqC/jWkGjzHJEEblRUz97tVW+xjCRPwzjdIMgxgsJXYIgJspxevCPa6ozzPIWJw4q3x7VBSAIMXtXGH7izEsU+mV1i2o1FM/h5/ca1X/aK/JCmIjm+wEMXEdYeuWw8e93zsNA/FCRt3v1ZRwrblhdcX5Lo/zuvK4xSOQDw/u6kxvEdEJClyCIiXEcrRzjepGFCdNxwQVnFJFb0pMDIcLi4iUKgyzAXhbWMLHv5/ca1mbuU8pdA7yss0GWQ6/rEOvjRBX0vAzPaDZOhvW75YgfLvy/YQvr/Ihr6R61rIhfP/iJ/FGeWSRypxMSugRBTAyycsTHb2p9GHi4MB4BIQgx9e84LNZeolAuw0We1wIwWWjJbR3FwucnaqOMV6/r8Jv2D7OMun93ugNpksPwc9+Q2xD1uCjuBVEW1h0GUc8/jGilZ9bxg4QuQRAThV4Y0YkyFR50rPx3WlWw3eyEruDneGUHk+uO41sbycIasgBsGN/MKEzCP9arXj+LIbeM+lmFxfJe22TralSBHdf/W9weNNV/WOI3itsLZ1jRGvSRRbx+kNAlCIKYEsJEjx++L/8EsJDXB4RklBe414KdMEvhsBa0sMVaUdoqtkHcFnZuuQ6/uuMQZhEWLaONdi+ahBlvYaJsXQ0T2F5l/Noc9LHiJXLFj7NJi8Oga/Cz0vN9cTiObldvKiR0CYIgjoggX9A4eL38xW1+U+tBU9teC3bCLIWAR0zYIRHbFyauLdvui4MbdzV90NT9MNb1MOQ+DfI59gtL52VdjbqwS6xHJq7bg/hxBvjfq3ES9mE0Dr9bcmE4PpDQJQiC8GDSL+txWoy8Fpu5lkIf8QQMihK5TX4r1mX8RPUo18OthAA8rbpuW82um2BBDLMWFFM4qP1eVnHxnONCbJtfiC+5nCy8R1mgFTd8WNgxQR9C4yKulV7cNooLA/F6Q0KXIAhCIq5Vaxiivnyj+MTG8bvk+8KswFEZVXR54eXC4bdwbKGQdsuJC83CFk3JAt9rgRpvR05PjjXmqlc7/KzuAyQGN8Ul7D6PIhYnKXJH6f9xfYARrx8kdAmCICTGOQUaVDaKyI2S6CFu3N2g/V7XPEr74iALWdGi7GXV5eI0bBFVULvDFnGJwjmOlTgKw3ykjJpyVzzHYRwzCuNYWDbOtpDP7usJCV2CIN5YgvwUxzEFOg4r1DRb0bh/6bisZWF9FeZqwbfxtvkhCuewRVyiAPbLFBd2XWHtiPrBISfyiDKuvPpmGA5b4AUtLDsKjlpoE8NDQpcgiGNF3AVIcgD8KOIuKuN4OY5ybNSp+6Bzh1lGxxVXNcp0epirRdwPi7AUtKJPrJf/bBhRLfJRGOZa/SzXcTkKa+Y0CstpagsRHRK6BEEcG+K8kLk1UhZq437BHtV0b5ifcZx+Ctp3mH3ltVhMFr5+FmYvn9xIbZd8YoOsyF7tnVT/RKlbLDNKWw5LdAbdW4IYFhK6BEEcG+K+kP0C4L+uL9gwf1POOIXLYYqfMIHuZ2EO8skNc1+RfWLDLKuHKdai+HjLbZ/UuUaFfGCJSUFClyCIY0Uc/9k45ePUeVTHh/mbvm54RUEIE+hhGb5E/9xGu+uZflgWw3ybWJ9X3eNerDiqT+3rJByH/fiaVP8RxwcSugRBvHFMQgSMWmfc40fxIQ5za5gUcev288v1q1terCXXJSLG4A07b1S/7XEuVjyshYzTxDAid1L9RxwfSOgSBPHG4SVkxl3nJI+flAiapDgYtu44/Rk1LrEYRcEv3XJcf9hh2jtp95JRRe60i8Rx9d+0XycxGiR0CYI4dKbhxTLsSv0odUZlWH/OSYmgcVkBvfpykhbGMGuuXE50SYjT5+MmKOKD3zkP67fzulhEgz5WD+OjkZh+SOgSBHGoTNuL5aimeMdhlZ0E4xC5QaliJ0HUezgJP9BhGdaf1ysk3iQ4ateHYfplmPt01NdJTB4SugRBHCrT+GI5irYcZj+87vFPhw2DxqMseJUbZyzcYRimn3K6d0i8SXGUIjdOn4/DbYg4vpDQJQji0KEXC+OwRO4khFpQfeMWucNYPnlEBcuyfZOC8O1h1zKpD5Jh6vQLiXcYHNYH07AfATLTMmtEHC0kdAmCII4xk7KwHpb7ybCRDABAVRQYlu2ZFIRbRjdqxtiyl00Sv/Bmh3n+KPd8XGNiki40xJsFCV2CIIhjzriF0WG7nwwbySCnJ30toHx7VAtpFIHnFY93HEQR45Mmyj2fJnE5jS5SxNFAQpcgCIKIzVELiDhiyq+tOT2JjZoRSeSGZWSzLLsv+cS4RF+jzbK9+aU2DjrO6/9HIcy/OaoYPiyOeoweFtPwYTHNkNAlCIIgYnHUL9ZxJQrYqBko9cRuEEFxh/l+VVX60gWPy6IoxvyNChfe3Mo8TitrWOSH18Xie1ygPg2HhC5BEAQRmTgv1km9fMNEpN8+0doKMPeFaruLnBY/EYTcD9xVIuiYYRmqnsTBseOcwh8l8gO5E4wf6tNwSOgSBEEQkYn6Yp20pSmnJz19Yv0SR4iWyD6BqiVd62fc80+rwMjpyT7r8rgZJfLDNPbX6w71aTAkdAmCII4pkxSZUcpMUgh6CekoKWFlkdYwu671My7TLDBGyfw3bNzicUHT8MQ4IaFLEARxDJkG371JiiE/URslpa4oAitZza3nOAqsMP9imSjjZpL9NA3jNoigfiOmExK6BEEQx5Bpmlo/Ssty2PHcyssTTBxHwRLmXyyXDRo3h+GSMi3jVsbv2qddnL/pkNAliGMOPXzfXCYtFqIuSDvMRANx6esjx7+cX4SH15EwMRlmFZ+0EJ1GkQsEzyJMqzgngCO7K/fv38fq6mrfttu3b6NUKg2UffDgAVZXV3H58mVUq1UAwM2bNz3rjVOWII47osighzAxTqKOLe4SEDXs1FGN06B2erVvGto8CqO0+XW83nExzMcBcbQcyZ25desWlpeXcffuXXfb+vo6fvnLX+I3v/lNn9i9f/8+vvjiC6ysrLjbHjx4gOXl5QGhHKcsQbwJRBEZBDEMccZWWJmwug5rDAeJGLkN4/htTdNvc5raQhDj5NBdF9bW1gAA165d69u+uLiIX/3qV/jkk0/cbdVqFZ988gl+9atf9ZW9du0adnZ2cO/evaHKEsSbBL28iEkxzrF1VD6hUfGL5DAs03Jd09YWghg3hy50Hzx4gA8//NBz39LSkiuEAeDXv/41FhcXPd0ZPv744z6LcJyyxCDtdhv/+I//iHa7fdRNea2hfhwf1Jfj43Xuy2nyfxxnP8a9rkmK0KPo49d5TE4b1JfBHMliND/Rub6+jsXFRffvlZUVlMtlz7KLi4tYW1tz/XDjlCUGabfb+Kd/+if6oYwI9eP4oL4cH697X06DyAXG349xRO6kLa6H3cev+5icJqgvgzl0oXv9+nU8ePAAH3300YDwvH37Nm7duuX+/eWXX/YJXxG+fX19PXZZgiAIghCJLCKT+mQb4sE0WbUJ4nXj0IXu4uIibt++jfv37+PSpUt48OABAODevXtYXl7u892tVquerggiXLzGKUsQBEFMP4flMxo5BJppAV2T/feQIZFLEMNxJL+cmzdvYnFxER999BGWl5exuLiI1dVVX4usF1zU7uzsjLWs47BAis+fP8f+/r67Xdd16Prhf8kfFvxaxWsm4kP9OD6oL8fHYfXlOFfuc/G5v384lsyNfdb2/YDZX8toAGoKltHAy02HxOcI0O97fLwpfdlut/vcM2q1GoAD3ebHkf1KS6USbt68ibW1NTcE2MrKCpaWlo6qSQAOOu6999470nYcFefOnTvqJhwLqB/HB/Xl+KC+HA/Uj+OD+nJ8vKl9WavVMDMz47v/yOLofvjhh7h9+zYA5rbw6aef4urVq1hdXR0IPeYF9+/1W4A2bNnTp0/j8ePHSKVSSCQS7vbjbtElCIIgCIKYVmSLruM46HQ6OH36dOBxkYXu8vKy608bl93dXdd9gMezvX79urv/xo0buHbtGpaXl/HRRx/hyZMnof62k0JRlFguFARBEARBEMR0Enkx2urqKhzHGeqfKFpv377tWnJFFhcX8fDhQwBwBfXi4qLvAjLub8tFaZyyBEEQBEEQxPHnUKMuhEVGKJVK+Oyzz1zBurS05Bv7ViwTtyxBEARBEARx/DlUoVsqlSIlbeCW1+XlZV8r7ePHj/t8eeOUJQiCIAiCII4/CScsLsOYWV5exq1bt3yFJ4++wEXxpUuX8PDhwwG3g8uXL+P27duur2+csm866+vrbmKOcrmMUqnk6U7y4MEDrK6u4vLly+4Hys2bNz3rjFP2OHLnzh0sLS15jmvqx2Du3buHx48fY21tDTs7O7h27ZrneASoL+NCfeANjbnJQs/D4aH38wRwDpnd3V1naWnJWV1dHdh+48aNge0rKyvO9evXB7Zdu3ZtoO44Zd9UVlZWnKWlJefx48futt3dXefmzZsD5eS+XF1djdzvfmWPI7u7uw4AZ2VlZWAf9WMwN2/eHBiL165dc0qlkrO7u9tXlvoyHtQH3tCYmyz0PBweej9PhkMXupybN286N27c6PsnP2Q4q6urzs2bN527d+86t2/fdm7fvu1bb5yybxoPHz70fJhfv37dWVxcdP/e3d31LOc4jrO0tOTcvXt3qLLHldu3b3s+2Kkfg1lZWXEePnw4sJ2/KMUHMfVlPKgPvKExN3noeTgc9H6eHEcmdInD59q1a57Cn38UiH8vLS151nH79u2+fXHKHkdWV1edhw8fej7YqR+Dka0UIjdu3HAAuA9o6st4UB94Q2NustDzcHjo/Tw5DnUxGnF08Ax0N27cGNh348aNPn+dlZUV3+Qai4uLWFtbc/184pQ9jqytrflG86B+DObevXtYXl723Hf16lUAwJdffgmA+jIu1Afe0JibLPQ8HA56P08WErpvCHfv3sXi4mKkRBxffvmlb8xhvp1HuIhT9rhx7969QId+6sdgfv7zn/vuk7MZUl/Gg/rAGxpzk4Oeh8ND7+fJQkL3DeHBgwfuwL5z5w7u3LmDe/fu4datWwNfdGHxjoGDH0ecsseJ9fX10JTS1I/BrK6uYnV11XPf48ePARzEvqa+jAf1gTc05iYDPQ9Hg97PkyVyCmDi9WZ9fR1LS0u4c+dO31f3+vo6rl69iocPH0b6muRleLa5cZV93bh///5I4VmoH4O5d++e5zSeF9SX8aA+8IbG3PDQ83A06P08Wcii+waxtrY2EEt4cXER165dwyeffHJErXr9uH//PsVkniC3bt3C4uKib1xTghg3NOaGh56H44Hez5ODhO4bhpe/ztWrV3H//v1ITumyH9u4yr4uVKtV7Ozs+Po9xakHeHP70Y+1tTXcu3cPq6urkSwYAPVlXKgP+qExNzz0PBwv9H6eDCR0p5zl5WUkEomh/sk/jDCndL7a+Dgyrn6MM715XBnnmJT56KOP8Jvf/GbkFydBRIXG3PDQ83B8vMnv50lDPrpTjt/CibhEWdHJndIXFxd9HdS5Pw//8cUpe5SMox+DQud4cRz7ERjfmJRZXl7G3bt3Pfv4uPblpKA+iAaNueGh5+H4eNPfz5OGhO4bwtLSUujqSh56Z2lpydfyxuvgD7g4ZV931tfX8cUXX+Du3bt92/n1f/755/jiiy9QLpfdlyf1YzQ+/fRT3Lp1C9euXfPcT30ZD+qDcGjMjQY9D8cHvZ8nC7kuvCF8/PHHWFtb89wnfikCzMrh96N7/Phx34shTtnXnevXr2NlZcXzHwB89tlnWFlZcR/81I/RuHPnDj766KOBa1xfX8eDBw8AUF/GhfogGBpzo0PPw/FB7+cJc9Sp2YjDo1QqDaRldByWevDGjRvu3zw/9uPHjwfKLi4u9tURp+xxZXd3NzC3O/WjPysrK87q6qrvPt4f1JfxoD7wh8bcZKHn4XDQ+3lykNB9g1hdXXUWFxfdXO6Ow3Jhy9schz3wr1+/PrDt2rVrA/XGKXsc4bnd7969O7CP+tGfhw8fOteuXXPu3r3b9+/27dueedipL+NBfTAIjbnJQ8/D4aD38+RIOI7jHK1NmThMHjx4gLt376JcLrthYfxiRz548ACrq6u4fPmy6+fjFxQ8TtnjwtraGj7//HOsr69jbW0NpVIJ165dw/Lyct9KZOpHb2ZnZwOjMCwuLrrZqjjUl/GgPuiHxtzkoOfh6ND7eTKQ0CUIgiAIgiCOJbQYjSAIgiAIgjiWkNAlCIIgCIIgjiUkdAmCIAiCIIhjCQldgiAIgiAI4lhCQpcgCIIgCII4lpDQJQiCIAiCII4lJHQJgiAIgiCIYwkJXYIgCIIgCOJYQkKXIAiCIAiCOJaQ0CUIgiAIgiCOJSR0CYIgCIIgiGMJCV2CIAiCIAjiWEJClyAIgiAIgjiW/P9Wd9S0Pg2rnQAAAABJRU5ErkJggg==", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(ffps[3], ffps[4], 'o', markersize=0.1, label='FFPs', alpha=0.3)\n", + "plt.xlim(-750, 750)\n", + "plt.ylim(-800, 600)" + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 47, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" } ], "source": [ - "M_norm = 3e-6\n", - "Z_fiducial = 10\n", - "z_earth = Z_fiducial/(s.ffp.Z*(M_norm/s.ffp.M_norm)**(-p))\n", - "\n", - "ffp_tes_finite = np.array([s.ffp.differential_rate_mw(t, finite=True, v_disp=None) for t in tqdm(t_es)])\n", - "ffp_tes_finite = ffp_tes_finite*z_earth\n" + "plt.plot(stars[3], stars[4], 'o', markersize=0.1, label='Stars', alpha=0.3)\n", + "plt.xlim(-750, 750)\n", + "plt.ylim(-800, 600)\n", + "plt.legend()" ] }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 73, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", + "text/plain": [ + "" + ] + }, + "execution_count": 73, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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YYxobG0/4uc70Prq6umJAbPXq1aOeX79+fay8vHzUcye6x5HX2rp1aywWi8U2bNgw6t6A2O7du8e9DyBWU1Mz6rny8vLYhg0bxr3fE32O49/L1q1bx7yXybyf3bt3x/x+f6yrqyv5emNj46jPf7ZMNq+pUjuHJEZ3eb0LcL21iiMFpVz7xGfYwyBuoBh4jA6u3fXPBJ/fzcDtVWRnL8bl8mmTBhGRYxLfD6fr98WtW7fi8/kIBoPs3LnzpL2ap3p8dXU1OTk5yY8TC8dGntfQ0DCmdWH16tWn1P4w0p133sndd9896rm1a9eydetWKioqJvxcZ3ofif7QysrKUc9v3bqVrKwsamtrWb169Unvsbq6ekyv6XiV3pPdx6k+N97nOP69bNiwgaqqKurr60dVr0/2ftasWUNVVdWoz+n3+8csIpxKCrVzUGKzhuJL3kuzdwHLHvgC8Dy/AZYBPwDeHf0F3p1PceSd38Wbs4SsrNT9JhURmU6mc6AFqKqqwu/3T3o81KkeX1lZedLgUl5ezp133klpaSmrV6+moqKC8vLy0wo8DQ0NBIPBMSv2V65cSXV1NVu3bp3wcyX+q/5M7+P4/1b3+Xz4/X7q6upYvXr1Se9xpHM5eWAyn2O8FoGysjJqamqSofZk7yfRprJq1aox10rlQjGF2jnKanVgsRgUL7iGrvd+j74Dj/H2pz/DT4DlQC1QSgfX/upWuhd9gr6y25k3rwzDsGEYtmn9DV1E5FybCd//fD4fVVVVp1SVPJXjT3at/fv3U1VVRW1tLdu2bcPv97N79+5TDj27du0C/jLyKiE7OztZZT7R5zpb93E8v9+f/Fqd7B5Hmoq+01P9HNnZ2aN+3U/2fhLHTrcpFQq1c1gioGZnLyYzs4jWtGze9/AH2UF8nq0B7ADetf+bpO1/nkM3foaC4iux2VzYbC5gZnxjFxGZq071v4PP1n8fNzQ0UFZWlqxSNjU1UVlZyZYtW07pv90T9wRMWGE90edat27dWbuP4yUW1E3mHk/n2iOvP56zuVFDIBAYVXU92ftJhNpztVnE6VIiEWw2F06nh3x/Oca761kHvBloB64AHgX28CQ8eBtHDz1Nf38H4XAvsZipsV8iIjJGU1PTqB3B/H5/cpbtqUpMYhjv3Pr6+hN+rrN1H4FAYNTHwWAwuYPWZO7xdJys2nq6FfXj3wvE/2GQeC9w8veT+MdPoqI7XSjUSrKVIC0tm9zcpbjW/YG8/A9zO/A68bFf/cSrtjy0mq4XfsSRxt8SiQwme8tERGR6ONXq2WSPT4ShyR5/fCW0qamJioqK07qvu+++m6qqqjHXSxxzos91pvcBYzdGuPPOO1m9evWoSurJ7vFkysrKkiExUX1OWLVq1agQmwibp1MpPX6WcFVV1Zj3Aid/P4l+5pES/8jo7Ow85fs6G7RN7izeJvdUJIKpxWIkK7Fd7S/Brz7Jfg7yJPGq7R7g9sRJZf9M7mUfJjOzCNOMYLEYakcQEZliwWCQLVu2UFtbS1NTE2VlZZSXlycXRZ3t48vLyykrKzvhf98nZsMGg8Fk32UwGDzp1qkNDQ1UV1ezfft2ysrKqKysTM5YTby2cuVKIF7JXL169Qk/1+nex0gWi2VUqH3uuefIyckZ9xoT3WN9fT3V1dXU1tYmv97Hf/0SM2kTs2sTUxUgHiYTr8FfKs6JiQU1NTWT+hxVVVVs3LiRnTt3Jr8WMPGc2onez8jXd+zYweWXX04gEMDv9yf7steuXTtmkdzpmmxeU6hVqB0lUbWNRAYJh3vp6HiF6L3/gsnD7ASuB/YBbcAtAPMrybj2Y/h8C5M9ugq2IiIyW1gsFnbv3j0lUwtkfJPNa0ofMkqincBqdeB251JQsBzrbf+IMe9O7gCagSZgCNgGDByupveeTQQC+xgaCiX7bE0zktL3ISIiInOLQq2MkWgjiMVMbDYX8+dfgaf8U3DJRi7jUi4FXgYuAv4b2B/9Bf3/t4qje+4hFGomEhkkFjOJRsOpfSMiIiJnwXiLq2T6UaiVCVksBlarAwCfbyHFb67CePdXWcYFbAAOA6uA3cCDAE9/hq76/yQYPMDQUEiLyEREZMaqr69PTgTYunUr27dvT/Edycmop1Y9tZOWqL4Ggwfo+dmXYaCGB4EgkA+8CnwcgGXw1k/jLbmK7OzFqbthERERmfHUUytnncViYLO58PkW4lv7ZXjrd7kRCxXAK8QXkf0MeIo98OhH6H70mwQC+xge7lePrYiIiJxTCrVyymw2F5mZReQvfge22x8lz/Ne/pZ4pdYK9ABfAcxD/033jz5Ne/tLBIMHiEQGFW5FRETknFColdNis7lIS8smP38ZWbd9EVZ9iVvwcCHwDLAU+DJwmN8ytPMqup/8Hzo6XiESGWR4uD+Vty4iIiKzkEKtnDbDsOFwZJCZWUTeig/CLTu5gKv4AvF2hKuAnwLPAjR9g4F7/p6Wll0MDYWIRAZTeOciIiIy2yjUyhlJTEhIT89n3rwyrLd9BSN9Hf8E7AVKgBeBzcAAjxO77220v/YgHR2vqGIrIiIiZ41CrZwVFouBw5FBYeEK0m+pgkWf4ONAGvHRX9nEN2v4HsDjH2Xgl/9J86Gn6etrwzQjGv0lIiIiZ0ShVs6axDa5OTlLyHrLJ+Dqr3ML8AUgAFiI70i2GaD3Hrj/PbS98AMCgX1Eo+Ex4VZBV0RERCZLoVbOKpvNBUBmZhEFF6/FcutvMYx3sYl4KwKAj3iwfZVueO6f6HnsOzQ3/4HBwWBym91YzNTmDSIiIjJp2nxBmy+cE4lgapoROjv30v/Mj6DpGzwLPES8LWHg2LGbALgC3riWnAtvIyOjENOMYLU6sFj07y4REZG5TJsvSEpZLEZyEVl29mI8V6+Hq/6TK4iH2AGACNARr9q28yz8/nN07voubW17MAwbkcigKrUiIiIyKQq1cs4kqqyJXcgKlt0B1/8ALDfHq7M2wBE/9jvAfwG8+K8M3PM5Wlp2Ja+jDRtERETkZBRq5ZwaWbFNS8um5MLbyHzfv8D8SjYBS0f8L0KwEzbHAJ5guPYtNB96mq6uJiwWQ8FWRERETkihVqaMxWIkq7Y5b6+CZZ9nHYmeWmAY6ITNbXCYGNx/I91//AmHDz9LNBomGg0n2xHUliAiIiIjaaGYFoqlxPBwP0NDIdoPPgmHnoeX/52vAr3NQCYwAIsL4X0AXAY3fgFPzhK83gVYLAaGYQPQQjIREZFZbrJ5TaFWoTYlEtMRwuFeBgeDdD3+Tdj/TfYAPwsSn/s1DNhHVHJLPob9De8hJ2cJdrs7ORdXREREZi9NP5BpLdFr63L58HiK45s1XLKRZcAXfMcOCgMx2NwBjwEc+m+Ga79EILCP/v4OIpHB5IYNakcQERGZ2xRqJWUSrQOGYSMjo5CCN34Crvs+BkvYBCxMJ77HLvB487GdyKgnXFNB5/5H6O/vYHi4f9SGDSIiIjI3KdTKtGC1OrDZXMxfeiu86+tQ+BE+ANxeDNiJ99k2w+ZhMBmARz9C1wP/QldXU3KLXREREZm7UtZTW19fT11dHaWlpQSDQQA2bNhwWtcKBoNUVVXh8/nYunXrpM9TT+30EouZRCKDWCwGfX1tBF69H57+DHCsStsK5AAD4PPApwA4H962mcJF12EYNhyODC0eExERmUUmm9dSssqmtraWHTt2UFNTk3yuvr6eiooK6urqJn2dqqoqmpqauPzyy6mvr6e8vPxc3K5MEYvFwG53Y5oRPJ5ibBevpS09H+q+yiae54eFcKATGIZgCDZnwibva/Db99J66T+SfvHteDzFOJ0eYjFTi8hERETmkCmv1AaDQRYtWsT+/fvx+XyjXlu5ciWVlZWsX7/+lK+7cuVKVq1aRXV19aTPUaV2+kr0yPb1tdHf30H/738AB75FN/D1DmDwL8deVQwVAK7VuG75HOnp+WRmFhGNhrFaHcnjVMEVERGZeabt9IOdO3fi9/vHBFqAdevWnVIoldkrMYs2I6OQzMwicq//HFz2Bbz42JQLFP7l2KcTi8gGaxncsYbOvb+kq6sJ04wwPNyf7LfVQjIREZHZa8pDbU1NDdnZ2eO+5vf7aWhoSPbYilgsBm53Li6Xj/lv/DuMd9cCb2GTDZYWjziwGTb3wQCH4MlP0v2TjXR27iUSGUxWfVWpFRERmb2m/G/5Xbt24ff7x30t8XxTU9NU3pLMAHa7G7vdzYIF1+B+z1fBcRvrgLuKiW/UANAF25rhhwDRXzC44+McbX2Bnp4WYjEzOdNWREREZp8pD7XBYHDc1oORFGplPIkNG/LyLsL17g1Q9s/kYWVTBjCiansgOdN2N9x/I8E//ZTDh58dtVmDiIiIzC7T6v9jE2E3EAik9kZkWjMMGwUFy8m+9P0Y7/4N8CY2AYXHtyMEju3d0PAlovd9ncNN9aM2axAREZHZY1qF2lQJhUKjHkNDQ6m+JTkJi8XA611AXt5FeP76v8H3V1QCn05s1gDQD99NVG3N++HXH+bIY9vo7NzL8HA/0Wh4VLhV0BUREUm9oaGhMdlsMqZVqE0sEJtoIdm5UlJSgtfrTT62bNkypZ9fTp3FYhCLmbjduaSn55N16z/Dpf+Il3Q2FTCqHYFm2NwJ0Auv/Ae9T1Rz+NDTDA2FRlVuE9cUERGR1NmyZcuoXFZSUjKp8yYdaisqKrBYLKf1mO7TDA4dOkR3d3fysXHjxlTfkkxCYpqBy+UjI6OQvMsr4W13A5exieOmIwzA5mbYAXDov+GBL3N07y8ZHu5neLhfgVZERGSa2Lhx46hcdujQoUmdN+ktl05lp68T8fv9Ey4ES/TSTjQd4VzxeDzafGGGs9lcuN25FC66jvbbCok+/kPWdf6Q7mL4ehQ4Ej/ulWbYXAybeAYee4a2P3+IrHduJBYzsdvdGIZN479ERERSyOl04nQ6T/m8Kf+bu6ysbMLKbSLslpWVTeEdyWxhGDbS0rIpKFhOzi2b4Pof4AU2WRnbjtB27Oft/0vXD26mtfWFUVVbERERmVmm/G/vioqKCSu1jY2NlJeXT/EdyWzjdHpIT8+naMlN8I6dwDvHtiOE4+0IXwXgVcyfl9Py2oNEIoMMDgaTu5CJiIjIzDDloXbt2rUEAoFxg21tbS2VlZWjngsGg9TX10/V7cksYbU6sNlcFJe+Dettn4VLNv5ls4asvxzX2wybu459UP9+Wh/7dzo6XiEc7iUc7gU0FUFERGQmmPJQ6/P5uPvuu6mqqhr1fG1tLX6/n9WrV496fs2aNVRUVLB9+/YTXjcYDGq+rYxitTowDBvFxVeS94aPwcovkgdsSmd0O0JfvGr7KsCrX2W49qMcefHHDA2FFGxFRERmiEkvFDubVq9ejc/no6qqitLS0mSP7XiL0SoqKti1axerVq0a89q2bdt47rnnaGpqSj4qKirw+XysW7duTECWucdqdSRHf+Vd9mHa518B9/8jm3ieumJ4uvkvx97TDGnFsIGX4OnP0PHan/C847N4vQuS11G/rYiIyPRkicVisVTfRKqEQiG8Xi/d3d2afjDLJWbRJmbTdn7/Q8DjAGyOAK2jj99QDGkAvBVu/iwF88pIS4vPT1awFRERmTqTzWv621nmBIvFwGIxcDgySEvLJvtD34PLvgC42WQDR/Ho47cldiLjUXjgDo7u+h8CgX2YZmTUIjK1JYiIiEwPCrUyZ1gsBlarA6vVgdudS8HlH4O3fRe4iY3AW44LtjTD5g6AXmj4EqEH44vIBgYCmGZEu5CJiIhMI2o/UPvBnBSLmZhmhHC4l46OV4g88UNo/18ANptAy+jj31UMlwGwEt5yJ5klV+HzLcRqdagdQURE5ByabF5TqFWondNiMZNIZJCenha6X7kPnv0HAJ4C6puPO7gYNiV+7vsrLNe+n4KC5bhcPgVbERGRc0Q9tSKTYLEY2O1usrL85F7yXiy3/hYo52rgC8UkVovFNcPmHmgHCP6Y2H0fo3Xfr+npaSESGUxWf0VERGTqKdSKHON251JYuALv+78B5/8dBrAph9EzbbvhO83wbQAa4eEP0vn0dwiFmgmHe7FYDCKRQYVbERGRKab2A7UfyDGxmEk0GsZiMRgYCNB+8En47T8C+/kvIHh8O0I6bEruTnYlvHE12Utvxen0JDd+MAybWhNERETOgHpqJ0GhVsaTmGwQi5m0t7/E4C/+AwZrqQOeDgD9o4/fNLKS67wdrn8fOYUrcLl82O1uYPRs28S0BIVdERGRk1OonQSFWplIoj82FjNpbX2B4YZaaPoGA8A2gBMtImM+XPhest5wJw5HBna7G5vNNe74LwVbERGRE1OonQSFWjmRxBza4eF+QqFmQk318NT/A3bzQ+DA8cGW46q2tlvhxvVkZS/G7c7FZnNhGDZVakVERE6BQu0kKNTKZCTGfoXDvQSDBwjX/CPJLXbHCbYZxfDZkU9c8FnSLltHVpYfw7Alq7YiIiJychrpJXKWJHYic7l85OQsIfOvvgn2dwPHKrMFo4/vbT4u7L76VQbu2UDLiz8mGDxAf38HkcjglN2/iIjIXKBKrSq1MkmJdoRoNExHxyv07/0l7P4iAJthbJ8tcFUxVIx8wr0WrnwHnvlXkJlZhMORMeraiR9FREQkTu0Hk6BQK6cjMRkhFGqmq/UF+PUm4GUeAx4fJ9jCcb22pMFFn8B+0U1kZflxuXzJXtvEjwq2IiIicWo/EDlHLBYDi8XA613AvIXXwi1fA67jWo4Pr3+xuRn+MvdgAF7axnDtZtoOPJbckQzi48QUaEVERE6dKrWq1MoZSIz+amnZReSJH0L7/wITtyOQDZvcxz1X+ilcq96Dz7cQp9OTDM0iIiKi9oNJUaiVsyEaDWO1OggGD9D14o+h4UsAp9COAHAFvOXDeBZcg8+3EEC7kYmIiKBQOykKtXKmRi4eS4z+OrLnHnjyk8ljxhv7BeOM/gJY+jnsy95FTs4SbDZXcrtdERGRuUo9tSJTIDGxIBE+rVYHRZe8F95+D5AFHKvKHt9ywDijvwBe+Q+Ga/+N1pfvZXAwSDQaxjQj5/ptiIiIzHgKtSJnKNEikNhYweHIoMhfjvW2nwHLAdiUHR/vNZ6xldwH4Ym/p+Ppb9PX18bwcP+Y7XVFRERkNLUfqP1AzpHBwSDd3Qfp/803IPCj5PMTtSPAeL22N+Fa90+kpWXj8RRrEZmIiMw5aj8QSTGXy0dWlh/POzdA2T8nn59o7BeMF3h/yeCOK+k60kBXVxORyKDaEURERMahUCtyDtntbny+hWRceBu8+TvJ5zcVg+ME7Qg/Of7J39xBqO7rdHcfJBIZJBzuVUuCiIjICAq1IudQol0gN3cpvkXXwTXfAJYAsJGJq7b7xltE1vpden78Pg7v+zXhcC/Dw/2q2oqIiByjUCtyjiW2vvX5FpJ/4W1Q/k/AlcnXT60d4U/w2/fS/rv/orv7oKYjiIiIHKOFYlooJlMk0S7Q19cW7499+LsQ/HHy9Ql3IQPIgk3pxz3nWo31xrvIyVmC250L/GXEmBaTiYjIbKHNFyZBoVZSZWAgQE9PC31N9fCHDaNeO7XpCNfA9R8hc14ZublLk7ubKdiKiMhsoekHItNYWlo22dmLyb7wNnjrd4G05Gun1o7wJDz8MXpef4L29peIxUyi0fC5uGUREZFpTaFWJEWsVgfp6fnkL34HlFcDb06+tqkYVpxgOsLocDsAv/tbep/+Hq2tLzAwEADQdAQREZlTFGpFUsRiMbBaHbhcPgpL3wY3b4C0NcnXb+EUq7b7v8lw7ado3/8IfX1tWCyGFpGJiMicoVArkkKJYGu3u5k3/wrS371x1EYNcPJg++1RzzwPD3+Q9r2/pKenRcFWRETmDIVakWnAZnNht7vJyVlC/sr18LafAm9Ivr6pGBZOEG47xptp+8RddOx/hO7ug5hmhEhk8Jzdu4iIyHSgUCsyTVitjmSfbcHCa+HmL4D93cnXP8AptiM88mG6nvseoVAzAwMBhof71WcrIiKzlkZ6aaSXTEOxmIlpRggE9tH75N3w+ugmgxON/cIDm0b+drbdCjd8hLyC5aSn5xOLmRiG7VzctoiIyFmnkV4iM5jFYmAYNnJzl5Jb/vdw9deBK5KvbyqGOyaq2oaOC72R++CBr9C+79cMDAQwDJvaEUREZNZRqBWZpiwWA4vFID09n8Jld2C59Ssw787k6xdwKu0If4DH1nO0qZ6OjleIxUwFWxERmVUUakWmucSEhHnzyvC97bNwzTcAS/L1TcXAiWba9o14ov799Lx6Px0drxCJDGoygoiIzBoKtSIzgN3uxmIx8HiKyb3gXRjvrgNuSL6+Cfj0RFXbruOqts/9E4O//ibB4AHC4V5iMVMLyEREZMZTqBWZ5iyW+B9ThyMDw7CRmVlEfv4yXOs2QfFHk8d5OYV2hO6fMHDPJzh69MXkRg0KtiIiMpNp+oGmH8gMFY2G6etro/OlWvjDfcDTydd+BuyZaEJCLmxyJT44H95YSWbp28jOXqypCCIiMu1MNq8p1CrUygwWjYYxzQiHDz9LbM+DsO/ro14/0eivUVXd8/8O31WVeDzxJ61Wx9m/WRERkdOgkV4ic0Biw4YFC64h65q74MptxOcixJ1sEdlTiQ9e+xrBB/6VtrY9WCyGJiOIiMiMo0qtKrUyCySmGAwP99Pa+gJm4yPw4r8mX98P/Giiqq0PNmUkPngr3PR3FJVchWHYsNvd5/CuRURETk6VWpE5JNELa7O5WLDgGrJXfhhuuh+4HIBFnGARWXBkm8Kj8MvbaXnlPsLh3uR0BBERkelOoVZklkjMs43FTLzeBeTPK8Ox5muw/B8AJxAPtrefoB3hVQCG4dGP0PbkfzE83M/wcL/m2YqIyLSnpc4is0RiLJdh2IjFTNLSsnE6PfS4cwnOWw6/uxf6d7IMWFY8/iKye5qBTNjkBV7+d9oGBrCvWkt+/jJsNldyl7NYzEyOGhMREZkO1FOrnlqZxUwzgmHYGBwMcuTws9D+EvzhW8BBALYBAxP02v6lXeEmeOut5Cy6joyMQoBkcFawFRGRc00jvSZBoVbmkuHhfvr62ggGDxB7/P9B1/8DYA/wswmC7VXFUJH4YNnn8Za9H693AbGYic3mGv8kERGRs0ihdhIUamWuSFRVTTNCJDLI8HA/bS/+GJ75EfASAJsBxgu3+bApMbbWeTvWd36cvLyLsNlcmo4gIiLnnKYfiEjSyH5bhyMDl8tH8aqPkvG+n0LppwDYBKwYbxFZ24j+26GfEb33Vlpf/DH9/R3JBWSakCAiIqmmSq0qtTLHJKq20WiYaDRMb28r3c1/gEe+DeymG/h6BzDO/gsLi+EDiQ8WfQLLpTdTVLQKu92dDM0iIiJnk9oPJkGhVuaqRGXVNCNEo2HC4V7aW3ZB41Pw6lcB+B7QPF47gh02FSQ+eAdctxZv8ZV4vQuwWAwFWxEROasUaidBoVbmukS4jUbDWCwG7e0vMdDVBL+5A4B24DvdQM/Yc+8qhjwA7PCGL+M8781kZy/G4chIjv4SERE5U+qpFZGTSoTPxAzagoLlZM0rw3h3PVhvIY/4zFrPOL2232k+triMYXjm8wzV/huBwD4GB4PEYmbyISIiMhUUakUEiM+etVgMvN4FFBWtwr32C3D5VwD4O2DpeIvImkcsIjPvZ2jnOzl6pIG+vjai0bCCrYiITBmFWhEZxWIxsNvd5OYuJX/FB7Hc+luw3Mw64C3FQO7YczY3ww4AuuCBm+h4/vu0t7+U7NkVERE519RTq55akTESExIikUFMMxKfkFD/dWjZDsBWYHC8RWTZsCkxutb+brjhTormX4Hd7k722KrXVkRETsW0XyhWX19PXV0dpaWlBINBADZs2HDK19m+fTuNjY00NDQQCAQoLy9n69atkzpXoVZkYiPbBoaH++nv76Drye/AvhrgMM8D90+wE9lHimE+AEVQsQ1P4Qq83gXJFgcFWxERmaxpHWpra2vZsWMHNTU1yefq6+vZunUrdXV1k75OVVUVlZWV+P1+AILBIGvWrGHXrl3s378fn893wvMVakVOzjQjyd3IentbCRxpgIO74KVtAGwOA23jnFgc39ABgGWfx3HhTWRl+XG5fBiGLVkNFhEROZFpG2qDwSCLFi0aN3SuXLmSyspK1q9ff9Lr1NbW4vf7KSsrG3P9rKwsysvLTxqQFWpFJidRtbVYDMLhXo4efZFI+0vwxF0AfBvoGK9qa4NNhYkPboCbP05O3kW43blYrQ5MM4LV6hjnRBERkbhpO9Jr586d+P3+cauo69ato7q6elLXee6558YEWgCfz8f69eupr69PtjWIyJkZWVG1290UF1+J57w3w7XbgWV8HLi9GHAdd2IkvohsDwAPwQMfoPNPPyUUaiYc7sUwbMmtdkVERM7ElIfampoasrOzx33N7/fT0NAwqTC6fft2Kioqxn1t5cqVAOzateu071NE/iLRKjCyZcDnW0jBkpuw3vYNyPprlgGbcoFxRn/9LDnTthOe+ye6f7WV/v4Ohof7p+5NiIjIrDbloXbXrl3JHtjjJZ5vamo66XVWrVo14WuJUDxReBaRU3N8oLVYDKxWB06nh/nzr8B780a49B8BO5uA4pPNtO38IcEflnP41fsZGgoRiQxqnq2IiJyRKQ+1wWDwpAu4JhNq6+rqJuyZbWxsBBi3PUFETs94i7qsVgcWi0FWlp/CKz8BN/8cuIq/Aa4qBixjr7O5GeJ/cpvh4Q/S+sjWZDtCItgq4IqIyKmaVkuPE2E3EAic0XW2b98+qcVmCaFQaNRjaGjojD6/yFxiGDYAXC4f8+ZfgWvdf4L/k1QAG+YzbjvC082wefDYB699je6H/p2Wg0+Oqtoq2IqIzE1DQ0NjstlkTKtQezZUVVXh9/snPasWoKSkBK/Xm3xs2bLlHN6hyOyTmD3rcvnIyvLje9Nd8Jb/IY1jY73Ga0foGNGO0P6/8Kt/5sgff8TgYJBoNKydyERE5qgtW7aMymUlJSWTOs92ju/rlJxpL2xDQwPbt29n9+7dJ21xGOnQoUOjRkQ4nc7T+vwic10sZuJ0erBYDNIuvI22nCVEf/ktNoXv5dlieKgb6Bl9zubmeA/u3/Ai/P5ztA8EcZz/DnJzlxKNhnE6NW5PRGQu2bhxI5/5zGeSH4dCoUkF20lXaisqKrBYLKf1mKrRWmvWrOHhhx+ecCHaRDwez6iHQq3I6Un03TocGdjtboqKVuF7z79C/oe5AtjkZdyqbXMzbD587IMXvkL419+m5fUniEbDDA/3E4kMjj1JRERmJafTOSabTcakQ21dXR2xWOy0HiOrpn6/f8KFYIle2lMNpRAP3dXV1VocJpJiiVYEq9WBzebC4ykm711fhJVfBKxsAhaP144QG7GIrOf/4ME7OLrnHnp6WrBYDIaH+9VnKyIiE5ryntqysrIJK7eJsHuqwbSyspKqqirKy8vP9PZE5CyzWh3xRWSX30XmXz0PvJX3AZ8uBvLGHv90cqZtGJ7+DN0P/TuHDz9LJDJIJDKIaUYUbkVEZIwpD7UVFRUTVmobGxtPOZhu27aNNWvWjDmvqamJ+vr6075PETl7bDYXTqcHn28h2R+6G674V7zAJidknGymbfv/Er33U7T+6af09bUlK7baiUxEREaa8lC7du1aAoHAuMG2traWysrKUc8Fg8EJw2ltbS1lZWXjBuGGhobTamMQkXMj0ZLgdudSeNmHsd72CLCCzwI3FAPWsedsbobvAfAnePozdP18M93dBxkaio93UcVWREQSLLFYLDbVn7S2tpYdO3ZQU1Mz6rnq6uoxGypUVFRQX19PdXX1qNmzDQ0NVFVVsWbNmlHHJ1obduzYwe7du094H6FQCK/XS3d396SbkEXkzIyssgaDBwjV/xccuRsT+DJA8zgneWBT8o/oTTjX/gM5OUuw293JObkiIjI7TTavpSTUAtTX11NXV0dpaWkyiG7YsGHMcdu2bWPLli08/PDDo3pts7KyTjhVwe/3J3cWm4hCrUjqJLbdDQT20f3q/fDM5wH4GbBnvGALvL8YFgFwNVyzjoKLVie36x25ja+IiMwe0z7UTgcKtSKpFYuZRKNhIpFBjuz9Jfzpd9D+v7wK3NMDdI89x1EMGxMfFH6EtGvX4/EU43bnKtiKiMxCk81r+u4vIiljsRjYbC6sVgcLLl5L2vUfg+X/wAXAhkzGnWkbbobNvcc+aP0uA/d8nqMtuwiHe9VjKyIyhynUikjKJXpjCwtXkHv5+lFb7C4dbzpCcMRMWx6BX36Mw3/8EcPD/ZhmRJMRRETmIIVaEZkWEm0D6en55C5+B8a768H+btYBHykG0see83QzbB4COAxPfZqW+zbS2bkX04wQjYan8O5FRCTVFGpFZFoxDFs82OYuJX3NF+DCv2c+sCmLcdsRaI9XbV8FOHI3vT/5JIcaf8vQUEjBVkRkDlGoFZFpJxFsfb6FeC//ELzxP4B5bAKWjRdsgXua4asAPAEPreboaw/S29tKJDKoXlsRkTlA0w80/UBkWkpMMohEBunv76Dz8LOw51E4XA0c20p3vNFfPtiUcezniz+NcclNzJtXhs3mwmIxNB1BRGSG0fQDEZnRLBaDWMzEanWQmVnE/NK3kfamv4EV/wTEF5GN244QjLcj7AfY93XMn3+Cwwceo7e3lVjMTFZtVb0VEZldFGpFZNoaWVl1ODIoKFhO7sqPwLseBPu72QRkFAPOsef+qBm+DcDL8OBtdL56Py0tu4hGwwq2IiKzkEKtiEx7iWBrsRikp+dTsuAast63FQr+hs8CN+QxbtW2oxk2JzZweOrTDP/+Jxza+0vC4d4xi8gUcEVEZjaFWhGZUQzDlmxJyCj/BCz7PFcQb0fwjdeO0BNvR3ge4v24v/0yLQ3fZWgoRCQyCEA0Gk62O4iIyMykUCsiM47FYmC1OsjJWYL7ktXw9nuAy/gUsKIYyB97zv3NxxaX8TI883na6rfS1dVEf38HVqsjGWxFRGRm0vQDTT8QmdGi0TCDg0EGB4OEnqyG/d+kG/g6jD8dwQofmQfzAXgLvK0Sb+EKsrL8Y0JtYgKDiIikjqYfiMicYLU6SEvLJiOjkMK3/SNc9gW8ZLAJcBQz9rtcFL6bnGn7OPz2vXT/eSednXtH9dkmAq1aEkREZgaFWhGZ8SwWA4cjA4vFoPiqz2K59V7I+ms2Au8vYtxFZL3NsDl07IPdX6TnuR/S2bmX4eH+UT22qtSKiMwMaj9Q+4HIrJAIoKYZwTQjdHcfJPSH78FrXwOgGmgdrx0BeH8xLALIfj9ceSu588pIS8vGanUo1IqIpJjaD0RkTkmEz1HTEa74AFz9deAKKoEbioGMsef+qBl+CBD4ETz4Pjqe204gsI9oNIxpRqbsPYiIyOlTpVaVWpFZJ7FzWCQySDjcS3vbHni5Llm13TwMHB3nxPmwyXLs55ab4aZKcvOXkZaWjc3mGnV9VXBFRKbGZPOaQq1CrcisNHKBVyQyyMBAgM5DT0Pdx4Aevg10tALjFGKT7Qg44I3/Soa/HI+nGKfTM2oBmYKtiMi5p/YDEZnTElvsWiwGdrsbtzuXkgveBTf9BFjOx4EbCoGisef+KDnTNgy//xy9T32XQGAfAwMBQJVaEZHpSN+VRWTWi8XMZPtAycJrsd3+DVj0Ca4APm0w7nQEmuM7kQFw4FsM7vwXjh59kXC4l1jMVK+tiMg0o1ArIrNeol3AanUQi5kUFCwn46q/gbf9FC9FbAIKxwu2xIPtHoDYA8Tuexctrz/BwECAcLh31FxbERFJLYVaEZkTEq0INpsLw7CRnb2YnOIrsd3+Uyj4GyqB8mIgd+y5P0u2IwzCg7fR9tQ36Ozcy+BgENOMaIMGEZFpQAvFtFBMZM6KxUyGhkKEQs307f4JvPpVTOBrxDdnGM+GYkgD4M1wwyfJm38FaWnZGIYNQL22IiJnmRaKiYhMgsvlw+MpJu9Nn4Ir/hWDLD4LXDNBO8K25Ba7T8BDq2n/00/p62vDNCPaVldEJIUUakVkThq5A5nL5cPl8pF/6fuxr/4FeN/H9cCni4H8sef2NsPmwLEPnvk8nb/8Cm1texge7p/CdyAiIiOp/UDtByJz1siZs4mPEzNtA689CE9+kgFgG8AE7QgriuEWAN4KN36CvKJVuN25GIaNaDSM1eqYkvciIjJbqf1AROQkEv2vx8+09XoXkH/hbXDLr0ljMZuAxcWAb+w1XkguInsUHryN9hd/TG9vK4ODQSwWg0hkEEBtCSIi55hCrYjIMYlgG4uZpKfnU1i4Avd77gHXat4HvD+DiWfaBo/9/Nl/oLP+P+jpaaG/vyM50/b4fluFXBGRs0vtB2o/EJFxJFoTEvNoW1/8Mfz+cwDxLXY7gYGx5y0thnUAXAjXfIy8pbficGRgtTqSrQjaaldEZPLUfiAicgYSYdNud+Ny+Zh36fvhll/DRRviW+zmgHWcqu0ryXaEl+HJT9L+2H/S399BJDKYbEVQoBUROfv0HVVE5AQSwdPl8lFcfCWZZX8FSz/HFcA/AEYx4DrupGbYPHhsJ7J9X6fr3i/S0fEK0WhYu5CJiJwjaj9Q+4GITFKiN7a7+yBdr9wHf3gUeIifAXsGgY6x56QVwwYADHjbjyk+/0YgXgFWtVZE5OTUfiAicpYZho1YzMTjKWbeig/iWrcJcj7A7cBdLsZdRDbQDJuHwcSE376X5t//J11dTfT3j5OARUTktKlSq0qtiJyixOQC04zQ2bmXvn2/hmf/AYAvA+YEi8jeUgzXAvAmuOFT5BatwuXyYbO5VLEVEZmAKrUiIufIyPm2OTlLyFv+V9hufwxcq/kCsDSHcau2jycXkf0OHlpNxws/IBg8QH9/B6YZ0ZgvEZEzoFArInIaRm7YkJaWzbx5ZXjWfBHyPsQ64C7AMdFM2+5jhdzdX6T3J59PBttYzFSwFRE5TQq1IiKnKRFqDcOGYdjIzCzCe8Pfw1X/SR7z2Qh4i4Gc407sgW3N8BMAfk245sO0H36WUKiZ4eF+BVsRkdOgUCsicgaO32I3I6OQwkveS9odPwfXaj4N3J7GuO0I+5phcwRgLzy0mq7nf0h7+0sMDAS0+5iIyClSqBUROQtGbtZgt7vJzV2K65bPQf6HWQZ8AfCP147QCpuPggnwx38h/Pj36elpIRzuTfbZjtxiVwFXRGR8mn6g6QcichYlZtkm+mNDoWaCRxrgkZ0QuY8fA41HgOjYcxcWwwcAeDvp792C252L3e7G4cgYtQuZ5tuKyFwy2bymUKtQKyJn2cjQGYkMYrEYtLa+QPiZn8LB7/AY8HgMODzOycWwCYA0uOxzOM+/AZ9vIQ5HBjabS4FWROYchdpJUKgVkamQ2Bq3vf0lBvb+Ehq+RDfwv0B3D9B93AlZ8Ol08AJwFbzpveQuuYm0tGxstuP35BURmd00p1ZEZJqwWh0A5OVdhOfitfCW/8HLRXwaKM8ECo47oQu+3g0/A+Bp+N3f0vHCD+jrayMSGZzKWxcRmTFsqb4BEZG5wGp1YJoRsrMXk5FRSEtaNrz8OFe//m2W2OE7xUDziBN6YE8P7JkHX7CCsfuLBLqDmFd/FJfLh8vlA1ArgojIMWo/UPuBiEyhRE/s8HA/R4++yHDnXnj0IwBUA60wOtwec3kx3AhABY41m8jOXozL5cM0IxiGTeFWRGYttR+IiExDifBps7koKFiOb8E18M77gDdQCdwOpI8z+uu55Ba7dYRrrqf11fvp7NwLxIOyaUam5P5FRKYrhVoRkRSwWAxsNhde7wLy5pXhfs+3IfeDLCMebM8rBvKOO6kZNofhMEPw2Hp6ntxOW9se+vs7Rs2yFRGZi9R+oPYDEUmhRDtCNBqmr6+NzpZd8OvPAQd5CqiHse0INigvhKsBnLdjfefHycgoxOtdoFYEEZl11H4gIjLNjdxMwTBsZGYWMW/htfCu/4GSj3E1cAewoBjIGnFiBOqb4asAQz8jeu91dO+5h1ComUhkUBVbEZmTVKlVpVZEUmjkZgqJXchMM0JXVxO9RxrgkQ8zAPwe+F0YaDvuAsXxdoVlAEXryXjrXXi9C7BaHaraisisoEqtiMgMMDJ0WixG8pGTs4TC82+Ed+wkLeMOrgPKHMDxi8ia4WfdxxaRtWyn9yef4siRBoaGQphmJLnxg4jIbKdQKyIyjVgsRrLC6nL5mO8vx/6Ou2DZ57kZeBfEg23hiJN6iC8iA+BxzJ+Xc/SlWkKhZmIxU8FWROYEhVoRkWlmZMXWbndTXHwlGZfeAZf+I5cBXwCW2hi3art5EJ4CePKTBBt+yKF9v2ZoKDRq7Jd6bkVkNlJPrXpqRWSGCIWa6dz/CDz1IITv5ffAbwEOAyO/kxtAEWwCoBhWfJCcsg+TkVFILGZitTpG9fKKiExn6qkVEZllMjIKKTj/RtJu+zws/jRvBD4NzJ8P5I840CTZjtBOM7zwFTp3f4+2tj3J6QgKtCIy26hSq0qtiMwg0WgY04zQ19dG18v3wjP3AC9QA7wEY2faZsNCN3wAgJvg5o9SWLQKm82F3e5WwBWRaW+yeS1loba+vp66ujpKS0sJBoMAbNiw4ZSuEQwG2b59O52dncmPA4EAGzdupKys7KTnK9SKyEyU6I0dGAjQ19dGX903of1/eRB4GeiNAkdGnGADRyFsBMABl/8z2cvuwOHIwOmMf+9L9PCKiEw3k81rtim8p6Ta2lp27NhBTU1N8rn6+noqKiqoq6ub1DWCwSBbtmxh48aN+Hy+UddeuXIldXV1lJeXn+1bFxFJOcOwYZoR0tKysVoduG7+Ap2/83Hja1/jcuA3Vmicx1+CbQTCnbA5B24nzLLn/olAyyEcV/01eXkXYbU6kptAKNiKyEw15ZXaYDDIokWL2L9//6gwCrBy5UoqKytZv379Sa+zfft2qqqq2L17N36/f9RrWVlZ+P1+du/efcJrqFIrIjNZYopBJDLI4GCQjpdq4fffBvazA3gFxm1HSHND/P/Frsd490bmzStLTloQEZlupu1CsZ07d+L3+8cEWoB169ZRXV09qeskgmyidUFEZK5JtAzYbC7S0/MpuOS9pN2xA5Z+jnXADRAf+5U24qQADBxbRDbAw5g/r+Dwvl8TCjUzNBRKxdsQETkrpjzU1tTUkJ2dPe5rfr+fhoaGSQXV8vJyurq6xu2dDQaDrFq16kxvVURk2ku0DCQ2a8jJWYLvDR+Bd+zkCuIV2Ywc4uE2Y8SJzbAN2EMMfvteQg/+O8HgAQYHg5pjKyIz0pSH2l27do1pF0hIPN/U1HTa19+2bRsAVVVVp30NEZGZItELC/FeW8OwkZXlJ7/kKrjl16RxFZ8F3gYs8jF6w4Zm+FkI6gA6f0j//32YIy276O1t1S5kIjLjTHmoDQaD47YejHS6oTYYDFJdXU1NTc2EwVlEZLZJVGpNM4LV6sA0I6Sn51NSchXu93wDSj/FG4HrgUthdLANwdP98XaEbl6E+2+k48Uf09XVRDjcm4q3IyJyWlIy/WAiibAbCAQmfU5irFdjYyOBQIC6ujoFWhGZkwzDRixmYhjxb+02m4u8vIvou/bv6Lr0Fubf+3nm8Sz7gUgx9CcWkQWAIHy9EN5iwLXP/RM9f2yg98aPkpd3EW53rqYiiMi0N+O/S/l8PjZs2EB1dTWVlZVUVlZSW1t7StcIhUKjHkNDQ+fobkVEzq3jw6dh2OKLyAqW433/DzCy38/fcWwDsmLAeexAE2iBxwfhKwDhe4nd9x7aXrmPnp4WTDOiXlsRmRJDQ0NjstlkTKtQm1ggNtFCspMpLy+npqaGNWvWsH379kmfV1JSgtfrTT62bNlyWp9fRGQ6Mgwbdrub9PR8PO/cAKWf4gPA+4HCPOLhNvG3QQdEA7DZhFfphN/9LZ1Pfovu7oPJLXYVbkXkXNqyZcuoXFZSUjKp8yYdaisqKrBYLKf1mMqxWz6fj9WrV1NZWTnpz3vo0CG6u7uTj40bN57bmxQRmWKGYcPhyMDrXUDeWz8Lb/g3FpHBncC7AEsRYD92cD/QAvf0QDXA3v8k+P82cPToiwwNhZLBVuFWRM6FjRs3jsplhw4dmtR5kw61dXV1xGKx03qMXBjm9/snXAiW6KU9057Yyy+/HIjvUjYZHo9n1MPpdJ78JBGRGWbkTNviVR+FG36A4XkvlwF/DWQUcKwv4ZhuaA3EF5Fh3s9w7Zs58uy36OpqYnAwmFycJiJyNjmdzjHZbDKmvP2grKxswgpqIuyON3v2eFlZWaxZs2bc1xIh+kxGg4mIzFYWi4HV6mDB4neQduOn4c3fYRFwF7DUAb5iwHvs4H7g2GYNjwE0fInQvV/m6NEX6etrGzVSTEQklaY81FZUVEwYNhsbGykvLz/pNYLB4AlbCxobG4Ezr/iKiMxWiQVl+fnLyL/gXdhuf4w0ylgHrAbSMhkz0/bxHvgvgL4dxO67JblZg6q1IjIdTHmoXbt2LYFAYNxgW1tbS2Vl5ajngsHgmDYCn8/H+vXrqampGfdz1NfXJ3trRURktJG7kFksBmlp2RQVrcL9nu1w6T8yHz8bOLa7bjFgPXZiNwRb41XbVxkgXHMNrc9/n56eFqLRsPpsRSSlpjzU+nw+7r777jE7ftXW1uL3+8cE0TVr1lBRUTFmmkFVVdW4i8G2b99OQ0MDDz/88Dm5fxGRmS7RMpCYZ5vYiSwv7yLmvfFTcMM24Go+AawALPOArGMnR4AjcM8wPAvw7D/Q9YNPcvToi4TDvQq2IpIyKdl8YfXq1fh8PqqqqigtLU0G07q6ujHHVlRUsGvXLlatWjXqeb/fT3V1dTIcB4NBAoEA2dnZdHV1nXTXMhGRuSzRfjDyR4vFwOn0UFL6Ng69wyTtqQXc0vN/LAUa0mFvOnAUGI7/+FAx9ADX82uGdrZz9LZ/Jzd3KVarA7vdnQzN40lUi0VEzhZLLBaLpfomUiUUCuH1eunu7p70yjoRkdnONCOYZoTm5j8Qe/138PyXaQX2AQ8D9AJBIJP4GDA3x9oVsuHSj5Fd9iHS0rKx2VzjBttEoFWwFZHJmGxe03cTERFJSrQlGIaN4uIrybx4DVT8mEKuYCXwPsCaAeQRL9MGgGbYBuwhAH/8FwIP/RuhUHNyF7Lj2xEUaEXkXEhJ+4GIiExPI/ttLRYDn28hmZlFtGYUkrbnVyx+7VvcyjDPOKG5GGgHhoBe+FkG7AbWtn4XnnQx/Ia/IiOjEKfTg93uHhViFWhF5GxT+4HaD0REJjSy0hoKNRMMHiB2383sY4gDxBeLDQ8Rb0dwAC7ISIOPcGzU7XXfJ7NoFR5P8ZhgKyIyGWo/EBGRMzay/9XrXcC8eWVYb3uIxRRxNfEtdt1OoAAwgR7oDcMPgecBHvkwPY9+m8ONv8U0I0Sj4dS9GRGZ1RRqRURkQoZhIxYzsVodANjtbgoLV+BYs5M05+0sA9ZzbJ+GHMAJBKELeACoAczD1fCbOzj45NbkTFtAo79E5KxS+4HaD0REJi0RRMPhXnp7Wwm9fC/s+j4mB2gAngS6AWLEe21dMA9YAlwL4P8kzlV3kJOzBIcjA/hLf60Wj4nIeCab1xRqFWpFRE5JInwODYWIRsN0dLxCtOFeOPAtDgG7gBcBOoAwkAF4YCHwAQCugxvuIrdoFRkZhaOmISjYisjx1FMrIiLnRCJ8Op0eXC4fBQXLyX7rp+Gt36WEBSwErgDIJT76awhohQPER38d5hF4aDUdx7bYVaAVkbNB3z1EROSUjQyhDkcGbncu8y54F7zzG1zGdfiBmwCXnXiwtQHNMNAH3wV2ADR8ic4Hvkx390EFWhE5Y/oOIiIipyWxtS7EF5A5nR7OK30b9tVf5ALLzVwEfBDwQbxq6yM50/ZV4CtAe/v/0vXjDbS17aG/v0OLx0TktCnUiojIGUkE20TILSpaRdq6L5C24C4K8HAbsAooyACygQyIBSAahf8G9kTuo///PsXRIw2jpiOIiJwKhVoRETlrEsG2oGA53mv/Fm7ZSQmFvBN4O8d6bQEygZ74kITngFd5Ch64ic79jxAKNTM4GEzNGxCRGUuhVkREzqpE5TYry39ss4afwuJPswg4DygFLHaO9SXAQeCPwK8BHv0IwZ1f4MjhZ5NV21jMxDQjU/9GRGRG0UgvjfQSETknElvsRiKDDA4G6WzZBb9ey1Fg77FHEOg9dnwR8dbba4A8rHDN18g4781kZBRit7sxDBuGYUvJexGR1NGc2klQqBUROfcSldbh4X6OvHo/PPrfwG5aic+zbQTajh1rO/a4BrgagGvhhr8lq2A5GRmF2GyuqX8DIpJSk81r+ieviIicUxaLgdXqiC8iW3orLZlF0PwHChu+RCbgADzAPiACRIbgaSe0AFfxGPMfeoyu8z5O7NpPkJlZlNyyVyPARGQkVWpVqRURmTKxmMnwcD/hcC+BwD6i934JeIzfE187dj8wPOJ4J/Ftdj8AYLmZ9PdsxuMpTm6xq3YEkdlPO4qJiMi0k9isweXyUVS0ioz3fR2u3MYbAS/w1pEHx2CoJ74T2WaA2AP0/fRDHDn8LOFwrxaQicgoCrUiIjLlbDYXNpuLrCw/WUtvhet/QAnlZANXEZ+QgIXk6K8M4sG2mz/CA+/jyP5H6O/vwDQj2rBBRACFWhERSSGbzUVGRiFFS27CePfnuYDrWQFcfOwBQCb0DsZ/ejfwKt3wm/fS8cIP6Oh4hYGBQCpuXUSmGYVaERFJKZvNhcORQXHxlbjfs5U8buIy4BLgWsAPOFxACPqAPwMvYcLuLzJwzwc5+voT9PS0qBVBZI5TqBURkZRLTEjIzl6M9/3bYNnnuYAc3gK8i2PtCJ54R0I78DLwB2APL8Fv7qBjzz3093cQiQwSiQyqJUFkDtL0A00/EBGZFmIxE4vFYGgoxOBgkGDwAOaBx+H5R9nDk7wG9AADQOuxcwqJb0y2DiBtDe5bq8jMLMJud2OzuTT2S2QW0OYLk6BQKyIyvSSCbSQySDQaJhIZpO3oi3D/jbQSH/f1DPEWBAD6wJ4eb1FYCxgsgLf8AwUXvAun05OcaSsiM5dGeomIyIyTqKzabC7sdjcul495RavgDf9GIYWUAJcBy4jPsCUdhmNwGPh/wB4OwuMf5eieexgcDBIO9xKNhlP1dkRkCqlSq0qtiMi0lajc9vW10dHxCuaeX8Nr/0EX8VaEx4n32PYcO95OfIHZzQBpa7De8DHmzSsbtauZiMwsqtSKiMiMlwihbncuhYUryL/203DZZrJ4C16gAlgIlBw7fhh4Efg50D5QQ/Tem2j+804GBgJEo2EtIBOZxRRqRURk2kvsROZ255K94n041vwL3vR1eLFxA7Cc+KIxKxABXgXqgKfoh8fW0/Hwf9DdfZCBgYCCrcgspVArIiIzQqJq6/UuICdnCTnrtpBWcidp3IAdeAvx1oMLiAfbo0A38CDAgW8R+n+fp61tD4HAPs20FZmF1FOrnloRkRkl0Wc7PNzP8HA/oVAzA/dcwX5gEfBH4mO/niEebn1ADLgBmA+w9HN4Lv8gWVl+DMOWmjchIpOmnloREZmVEhXbxHSEgoLlGO+uZxHLoOjjXApEgSuPHd9MfDrCT4DHAF75D0IP/Udyswa1I4jMDgq1IiIyYxmGDYvFYP78K8j+0H1w+c1Q8kmuAGzARUDasWMHgBeA/wHMjh/Q/uhXOXKkITkTF1DAFZnBFGpFRGTGs1oduFw+SkquIv1NH8RuX8tS4pMR3gMsAXKI99jGgF8DZuN/EfnZl2l+/vsMD/cTiQxisRjqtxWZoRRqRURkVnA4MrBYDLKzF2N7112kcykXArnAO4lv2rCEeLANAPuBRh6Gp/+ZI7/7KgMDAYaH+7FYDFVsRWYghVoREZnxEn22VqsDq9VBUdEquOEL4PsAadyCBx8XEZ+OkAd4gAbgELCHXsw/b6Xj3i/Q1raHwcGgqrUiM5CmH2j6gYjIrJOotB49+iIul4+uZ74PL3+LDnppIT7u6yjxyk46kAVcCnhZBOWbySxcQVaWH4vF0IQEkRTT9AMREZmzEpXbwsIVpKfnk/WGD8Pbv0su7+A84i0J84Ejxx7PAk8BzezHrH8/PTWbOXr0RSKRQUwzonYEkRlAoVZERGalxKIvu91Neno++QuuIf29/4rX89csOXbMRUAYcAKvA0HgOaB96GcM7VzL4VfvZ2AgAKCWBJFpTqFWRERmLcOwEYuZ2O1u0tKy8fkW4rmlinTj3ZQRXzh2OfGJCPOIj/xqIr6IbA/N8PCdtL34Y3p6WohGw6raikxjCrUiIjKrJVoRDMOGw5GB17sA5+q/x5v9fhYB5wErgGEgGzCJtyI4gb0MwzOfp/MHn+bIkQb6+zsAVW1FpiOFWhERmVNsNhcFBcvJuOEzGEs/RxHzKCXeilDIXzZteIr4TmQHgMPm/UTvvY72pnp6e1sBbdQgMt0o1IqIyJxjGDby8i4i56q74Lp/YT5QClxAfJ5tL3A+8Zm2DcQnJfwe4JEP0/HIVwkE9hEO9wIKtyLThUKtiIjMOYkNFjIzi5i35Ca4+uu4KCWda8gD3nzsuFKgAPgT8QVlvwPY/016fvweOjpeYXAwCPwl2CrgiqSOQq2IiMxZFouB3e6mcNkdcOO/Q8VHyWIhYeIVW/exRyHwNPHK7X1AK38mXLOeI/sfGdWOoN3IRFJHE6VFRGROSgRQq9WB0+lh/sJrATg8EGD+k78C+lnA7xgAOom3JrxEfEeyp4E38RJ5v/kcHZd9iOilf43bnYvN5kpOXEgsUBORqaFQKyIic9bxkxFiMZN5y+7gSPZiGAxib7oC+767WUmIVwEv0Ax0AQcBaCbv+S/TZbHQ6y/H4ynG7c7FanUo2IpMMYVaERGRYywWA5vNRdH8KzDNCD25S+lzu8l6sZqLaCMMOAAL0AIMEp9pe0XDlxhueJ7OZRdjecNHcTo92GwuhVqRKaQ/bSIiIiPYbC5sNhdOp4fc3KUUXf0puPgjeLiGXDJ4E5BGfAHZU8AQ8GsAHqB7z7/R8fB/MDgYHLVRg/psRc49hVoREZHjWK0ODMOGYdiw293Me9On4W13wRWbgLdSRnyzhquI99kuBH517LmBA9+i87Fv0tPTwsBAANOMaAGZyBRQ+4GIiMgJJPptz1t6K52de+k1I1h2xbiax2gkvoBsL+ABnie+Q9mSpmqCHQG48EIoXMGCBdeoz1bkHFOoFREROYnERIPc3KXYbC6C0TAELqb09R8D3diAJuK9toPAAfpZGPohA89AGstofvfXKSxcgdPpwTQjGIb++hU52yyxWCyW6ptIlVAohNfrpbu7G4/Hk+rbERGRGWB4uJ/e3lai0TA9nXsh1AxPfYcYezlEPNQ6iG/W4AXagWWcj3PtD/F6F+B25xKLmQq2IpM02bymP1EiIiKnwGZzkZFRSDQaxuMpZni4nzarA8sTD7GABzgAhI49XgZ8wKu8xgU7/562az9A9qLrSE/Px2Ix1IogchYp1IqIiJyCxNgvm82VbCUoungtLb6FcH83aTzBUeIV2zBw+Nh5+TxF1mOvEDj8fgIXvZ2iolXY7W5VbEXOEv0TUURE5BQlqqxWqyO5i9j84ivhln+gAD9FwAJgMZANZACtQAudDLz2NfjFv9Gy5x4GBgJEo+FR479E5PQo1IqIiJwB04wkK64FBcvh7f9KCbnMBy4E3gTYgSjxqm0QOMpj8Lsf0Pbof9DdfRDTjBCNhhVsRc6AQq2IiMgZMAwbphlJbtgwv/RtWG79KekU4+J6DGA58WpthPhOZK8DrexiYN/X6b5vC4def4JoNMzwcH8q34rIjJay6Qf19fXU1dVRWlpKMBgEYMOGDWd83W3btlFWVkZ5eflJj9X0AxEROdtMM0I43Etr6wvEmn4H3QF4vZ7DvIoDeIF4RekI8bBbCqRzMaxah/v8G8nJWYLV6tAiMpFjpvX0g9raWnbs2EFNTU3yufr6eioqKqirqzvt6waDQaqqqkZdV0REZCoZhg2Xy0dBwXL6Mgqx2Vx03dvL/FAfR2lmOfGpCIuAg8RbEzL4MyW7/pn+XfcwcOvXk4vIFGxFJm/K/7QEg0HuvPNO7r777lHPl5eXEwgE2L59+2lf+0zOFREROZvS0rLJyVlCZmYR6Td9Ci58PwXMowC4jPgCsiJgD7AfeBz4Iy8Ru+/tHD70NENDoRTevcjMM+WhdufOnfj9fnw+35jX1q1bR3V19Wldt76+flItByIiIlPJanWQm7uUvKs/Cjd8E3yVeFnBhYALOB8IAD3EWxJ2EYMHNnOk8beEw73EYibRaDiVb0FkRpjyUFtTU0N2dva4r/n9fhoaGpI9tqeioaGBsrKyM7w7ERGRsyMWM7FYjOTuYenp+RQtvBZHxV/DDZvBeQcXAUuBtwLzASvx2bYdPAd1Wzl88ElaWnYRjYaJRAYVbkVOYMpD7a5du/D7/eO+lni+qanplK65ffv2s7LITERE5GxJBNpEX6zFYmC3u8nPX0be/Muw3fRRmH8XLi7DC6wAnEAO0A0c5U/wyw2EH/8hh1/8Mf39HVgsBpHIYMrek8h0NuULxYLB4LitByM1NTVNuura1NQ0YeVXREQklY5f6GUYNmIxE5fLR17eRXS/+cP0v+CBl7Pp4WGWE29DOAgUAg5eIavtFcy2FXQOBuksWkVu3kWkpWVjs7lS8I5Epq9ptTdfIuwGAoFJn1NbW3vGVdpQaHQzvtPpxOl0ntE1RURExmO1OpIV3NzcpfRf9VE6hobwNO0GggwT342sCRgC+oA8XsDcNUwaT9CxZDm5b/okbncuhmHThASZdYaGhhgaGkp+fHxOm8iM/pNQW1vL6tWrz/g6JSUleL3e5GPLli1n4e5ERETGl9hi1zBsZGYWkf2Wj8PSjwA3k8dlOAA/8VaECPAKkMafGaAe9v4nHc/8TzIYm2YklW9F5KzbsmXLqFxWUlIyqfOmVaU2sUBsMu0EwWCQQCAwYX/uqTh06NCoYb6q0oqIyFRIVFk9nmKMq/+WzqV74zNu76kEXmKYIbqBTOKjvzKI/8VdtGcbRy+8Cbc7l8zMIiwWQxVbmTU2btzIZz7zmeTHoVBoUsF20n8CKioqsFgsp/U4nWkGJ7N9+3bWr19/Vq7l8XhGPRRqRURkKlksBunp+cybV0Zu7lKyPrgDLv0cdtc6cinAQ3z811EgCPRiEv7tdwm2v8ahpnr6+ztSev8iZ5PT6RyTzSZj0pXaM9npayS/3z/hdINEL+3Jqq8a3yUiIrONYdiSu4hlZBTieuOnOJL/KBxcQOTVfycd6B15Qve98EQYejtouz5E4eJ34HR6ktcaOXlBZC6Y8vaDsrKyCSu3ibB7ssDa1NTEjh07xmzUkLjuli1b2LFjB9nZ2ae9mYOIiMhUSsyzjcXMZL+td94ldNtcpL36FMM8jZv4PNsoAGG6e3fiJYL58EFaHRnkF1+Jy+UjGg2PWpAmMhdMeaitqKhg69at477W2Ng4qV3BVq9ePe4CsWAwSFZWFhs3bjwrC8hERESmynhzbTMyCgHoLv8oGfUvs4QuBvBgZZgWBphHvNd2Ga/AQz+l7fyn8Fz5N3i9C4hEBrFaHcnrK+DKbDflv7vXrl1LIBAYtwWhtraWysrKUc8Fg0Hq6+un6vZERERS5vjQabO54juRnX8jxvkfhJxK0tJuxEomRRTTAswj3msLj2G+9nNCv/kv2tr20NvbyvBwP9FoGNOMJEOzyGw15aHW5/Nx9913U1VVNer52tpa/H7/mArrmjVrqKioYPv27Se9diIon8qcWxERkekq0Wdrt7speOvfw8q3kLXuS9gX/zVQxnycWIF0oIMARznAcNt3GXrgW3Q9+l+0tOxiYCCAaUaSwVZktkrJSK/Vq1fj8/moqqqitLQ02Qs73mK0iooKdu3axapVqya8XkNDA1u2bEmG2qqqKurq6qioqDhrExJERERSwTDif1W73bnMX/wO7HY35lV/Q3fxM/B8Nr7uXwEWArRhAgFiFAz8FPP1DIzX/0z7okvwXFOJx1M86nois40lFovFUn0TqRIKhfB6vXR3d096XISIiEiqmWaE1tYXGAodhb1PQNMfiPB7XgGygQ5gEfGNG7JIB8t12G//e/LyLsJmc43qtRWZ7iab1/TPNRERkRnGMGwUFCyn23WQWN75hNLSiP35jyygn1Ygj/g2u/GtjPowYg/grbXQcv1t5C26Drc7Vxs2yKyjUCsiIjIDWa0OfL6FGIYNc8Vael9+Fbu5CwevEwQWA4eALsALmNxP1sOdtC/dQ+7Vf4vd7sbhyFA7gswa+ieaiIjIDJUIpLm5S7Hf9inwvhUXN1BIEQ6g4NhxMaAViPAUA698lY5n/ocjh55mcDBINBpO0d2LnF3qqVVPrYiIzALRaJjOzr307fk5ONzwpz8yPHQPdmA/8dFfTcBC4lvuGlwDK65l/lWfwWp1aLMGmbbUUysiIjKHGIaNnJwlOMr+GsOw0VVyOfaftzPMwywEXgZy+UuvbR5PYn/hSQ4fOcK8d29J7mSmYCszlX7XioiIzAIWixHfWte7gPT0fIqLr4S334UdH51ACTAIZBz78TUgBJhHv8eRez9Pf38H0WhYGzTIjKVQKyIiMkskJhpYrQ4sFoOseZdA7u3kApnAAuKLxlyASbwtoQMw256l8zf/ycBAfPMi04yk6B2InD61H4iIiMxCFotBRkYhoTe/j+hTwNFO4AhZ7MGgD4BeIAi42IPncC8dO7qx/9VXMc0Idrsbm82lVgSZMRRqRUREZqFExbawcAWhilz6+tow//wb2HceXvMgXl6liy7SAAcwzAHsvYMcqf9XuPgdOJ0e8vIuwmp1aOyXzAj6XSoiIjJLWSwGdrubrCw/GRmFRHOX0lb0IKTnw6++ShZNQDcmDiwE6KcV177fYuz7DUMX3UrPKt+Y7XW1kEymK4VaERGRWSyxgMzhyMA0I5Qsu4NoNEyL/3fQ5AVaMSigh1/hxEYvLzEAZL/0Ot0uN7YV7yMtLRuLxcA0I5qQINOWfkeKiIjMAYZhS86jdTo9uC5fAxevANsiyD8PLxfgwEYUGAC66YeXXqXz4DO0te0hGg0TjYYZHu5XoJVpSb8rRUREZjmLxUhWVxOBNC/vIuwXvg37rZ+AgV7wXINBEXbiPbYOYHhwF+zfTbizma6uJg6/ej/RaDg5HUHjv2Q6UagVERGZA46vrhqGjYKC5Xi9C7Dd8AlwpwHLyeAKikjDAOwUYzY2QHAvvS/WwsM/58iffpqs2ppmROO/ZNpQT62IiMgclOi1TU/Px2p1cPTK2+G1Ohj0Q+sSMvp6gHaMeSvgQDMEdgNReOoemn0LyZtXhs3mAsDp9KglQVJOoVZERGQOSoRaAJfLR3ZWCZGy9xKJDNLf2wrBwzAUgqZGMAzAwiAv4CIbHv0F7Uv/BK503Oe9Ga93AS6XL6XvR0ShVkREZI5KVFctFgOPp5je3lZycpYQzV1Kd/dBwuFeBixO6GiGjjRcQDddePt3QcMLgEn/079gePWXmTevDMOwqWIrKaPfeSIiIgJAZmZRcmyX17uA3NylZCx+M1gt4FgIXIAXCwO0Ac8T5I/08TjDD1YzMBAgHO5Vj62kjEKtiIiIJCckJFoSEjuJZWcvhpLlcMkywAu8gzQcDAD9QABg0KQrdJSW15+gv78D04xoMoJMOYVaERERAcafkGAYNnIXXg15S+CN7wNnLtjeTBpO0oA8bECUyKv3wUu/o/357zM0FFKwlSmnnloRERGZkMVikJFRCPMvw7HoTbQ4c+CZ30DkrWSxG7gMMt3wx6eBEBxYTKvrHrKX3ER6ej42m0s7kMmUUKgVERGRE0oE21jMpPCCclqDB2CvCdlrweWGri7gT/RhkM4ReCmLAHZChRdTULAcm82V7NUVOVcUakVEROSkEruRuVw+0pa+jYH0LOzzLiEWM4n86rvAtaRzP8OUYe/6A7wSI9LZzOHgYfL9bwHAbnfjcGSk9o3IrGWJxWKxVN9EqoRCIbxeL93d3Xg8nlTfjoiIyIwQi5l0du4lK8tPLGZy5EgDked+Dphw8HlMBjCwAQWAActXQP4FZBZeTEZGoTZrkFMy2bymSq2IiIicEovFICdnSTKYFhauIPSWXEJHX4ZD7RixlxmmAzuvM0CQtBc7gd/Ts2g5kTesITd3KVarQ8FWzir9bhIREZFTNjKQ2mwuvN4FeAouhKULMcnBTh59tGJnkD5+xzCvwv5nGXjg2wSDBzTPVs46hVoRERE5IxaLgdXqiM+0XfhGjPOWAzk4cNAPpGPBzlFMfg99R+l5+H/o6moiGg1P6voaDSaTofYDEREROWOJzRtKSt/KIcMGsRj2g+3YGQTSgBYMuoHdcMRCz577MS+6kawsPzaba8JWhMQ4MI0Fk5PR7w4RERE5awzDxrySyyEvHy65CVgKmRcDTiAd6APa4LVX6HvmpzQ376avr41YzBxVkU38XIFWJku/Q0REROSsSIz9cjo95F321+Cbj+XWj4LTDawEMgA/MAR9R6HxV7Dr57Q/910GB4NEIoOjwu3IYCtyMmo/EBERkbMmUVlNT8/HdvG7Mc0IwesyGHr6/yCSD63tQD/wHDFysRz+CRzOpDUtA0vhCubPvwLDsBGLmRiGTYFWJk2hVkRERM6qRLB1OuMzRa1WB91v/hB9oWZ47Uno7YfDrVjYQx9hnHRh+8OXiV3wSQ4DeXkXMTgYxOtdkKz+ipyMQq2IiIicdSODqMORQU7OEjIzi2i1OGHvo0ABJntxEKYHgB6y9jUSsztp2/c4LHozAwMB5s+/Qj21Min6HSIiIiLnVGLkl9PpYd78y6CgFLKLMFiKnXinbRaXAga0vg77muGBKoabXyQUah63z1bkeKrUioiIyJQwDBt2u5uCpe/kKMPwTA8M9WJnCLIug/R0CARh8BcMY2D/Qz2BzDwCtheYv+g67Ha3piHIhBRqRUREZMokK7YXreZI8Ai8bIXhMKT7IL8AmluAXOwcAKLwh19BTy+HV/yJkms+i9XqwDQjWkQmYyjUioiIyJSyWh1YLAa+y95H0Pg/sGWCbz60H4CLL4E/72WY87HTCj2NQBe80Mzhxe+gMO98TDOC1epIVm5FQKFWREREUsAwbGRmFmFesiY5vqs7oxCiYTjYgr2nBZMIBjDAS6SxCLNlF102KwM97WRmleDzLcRqdQCaZSsKtSIiIpIiNpsLn28h0WgYu92Nw5GBYdhou95C7Hf3YXjsmPvrSaMU8EJvJwN7HoCBXnpc6ZiX3obPtxCbzZW8psLt3KVQKyIiIiljtTqS1Va3OxfDsFFQsJzWlR3Qsg+DC4AuWHgxGFZoPcJA27OkMY++cJi+RSsoWHgtTqcHq9WhRWRzmEKtiIiIpFyiBSEWM3G5fBQuuo7WjkaYXwzWErhgFThz4I/fw04XgxzG9dogvPY8R68Pk7vwWiwWg4yMwlS/FUkRhVoRERFJueNHdTmdHjIuvJlex6OQW0pRyVWEQs30LvVje/k1hukH9gBt8HAbHVf1YBStwjBsuN25KX0vkhqqz4uIiMi0MLJtwDBsZGX58ZxfwbziK3E4MsjOXgz5C4A80rgcaKMdgD/C0z/FfLaGnv5uIpHB1LwBSSlVakVERGRaSiwkS/Tc9vW1wWAY5i8GE8wjxeTRTAiwso/0Q/PpP/oiTpuVaDRMVpYfw1DUmSv0Ky0iIiLTViLQAvT0d2MrLiPS3wHzL8NIMzCbvkEGYLAQYoMQG6Jrz/0QG8J6yRo8nuJkBVgLyGY3hVoRERGZEQpySznc+mdyLv8ghmGjfSiE0XQDWNMhZod5OdC8Fw6+DkMRuswInjf9PUNDIex2t3Yhm+UUakVERGRGsNlczC+8mFjMxGZz0ZG9mNj5l0DuQuhtgbyL4bWnoL8T6IXQfFpbX2Coqwlf0Sq83gVEo+FRc21l9tA/V0RERGTGsNlc2O1uALK98+Cit+MoXk7uFR+B4RBk5RKv2bnBNBl6+icQChD8/Xb6+tro7+9geLg/pe9Bzg1VakVERGTGsVgM3O5cYjHzLyO8cpfCQAgKF0FPELBiNr+E0bwXipbR0VQPwcOkXXAD+fnLtIhsllGlVkRERGYkq9VBenp+snqbl7MI5i2H0iVwxXVw4AAGw/SxH9Ls8NyT8Np+Bn7xTfr7O4jFzORDZj6FWhEREZmRLBYDq9WRXPyVnp5Pbv4FZJ1fQeb8y8DhAMKkkw+ZHjBi0HsIBg7Q/tpjRKNhotEwphlRsJ0FFGpFRERkxjg+fB4/zSAjoxC3OxfT4oQlpUA6ZC6GtEy4/G3AQfBdAG0v0dPTQk9PC62tLyjUzgJqJhEREZEZIbGN7sjtdEdKvGa3u3HZ7fQtehMcOQyLLgabCwwr2N8Awddh8QUEX/ktmAMQaKf9ChcFBcsnvLZMf/pVExERkRnhRIF25DGJRWQe7zy4+r2Q6ydj0XXQ1QaGickw7PkjRIfgud/D/mb6X63HNCMAyR9lZlGlVkRERGaMyVZRrVYHXu8CPJ5igj3t5GaV0OvJgqEhDHyQmQn9QaAXDBfYrAwP92OaEZxOjyq2M5B+tURERGTWSSwiMwwbednnEYuZZMy7BK6+DopL4LLrIM0LC5dBpA9j/mW0HPkTrc27GRoKqcd2BkpZpba+vp66ujpKS0sJBoMAbNiw4ZSusWbNGrKzs6msrKSsrIxgMMiuXbuorq5m48aNlJWVnYM7FxERkZkgEWxNM4Jh2MjOXhzvuV18PXa7m3aHEwb74YKlmF2tEItCVzOtVgfnLbxa1doZJiWhtra2lh07dlBTU5N8rr6+noqKCurq6iZ9nWAwSG1tLdu3b08+5/P5qKmpUaAVERERgOQmCxaLQVaWH8OwEYkMUnzem2keCIBnEXarheHXd4HTBeFeWltfoKhoFUBylm2iX1emJ0ssFotN5ScMBoMsWrSI/fv34/P5Rr22cuVKKisrWb9+/aSuVVVVRUVFBQ0NDQD4/X5Wr1496XsJhUJ4vV66u7vxeDyTPk9ERERmpsQisERAHRwM0t/fQVpaNt3dBxnY9zAM9UH+ctILFpOXdxE9PS3JdgSPp1jBdopNNq9NeaV2586d+P3+MYEWYN26dVRXV0861AKUl5dTXl5+Fu9QREREZqvjt8Z1Oj1YrQ5sNhc9PS0QjcH+w9AzQJ/Lh9vdRmfXIXj1t7D4WiwWA4+nWK0J09CU/2rU1NSQnZ097mt+v5+GhoZkj62IiIjIuWSxGNhsLiwWI75hgz0NPJlgteH2ZDM4PAxP3QOhAWj8HZ1tryarvdpid3qZ8lC7a9cu/H7/uK8lnm9qaprKWxIREZE5LFFxzc9ZBPOWw9LLYdlbyc5eTG93I2SmxzdxsAG9nQQC+0Ztr6u5ttPDlLcfBIPBcVsPRmpqapr0Qq+mpibq6+uTHzc2NrJx48aTfg4RERGR482ffxlDQ6XYbC7sdjcx7NA/BEUFMGRCsImeaJi0tGz6+zsYHu7XTmTTxLTafCERRAOBwKSOb2pqoqGhYVQPbkNDAytXrmT37t2TDrahUGjUx06nE6fTOalzRUREZHYwDBtWq4O0tGysVgcAVrubaGEhuLIgGoRQPwztpe3lIRgKQethjr4R5s3T1KWzZWhoiKGhoeTHx+e0iczof1LU1NSMmXZQVlZGWVkZd95556SvU1JSgtfrTT62bNlytm9VREREZgCr1YHV6khWXfOyz4OF12CfvwzreddDeADsGdD4Ejz3Ozh0hKGXHkr21qrH9sxt2bJlVC4rKSmZ1HnTqlKbWCA20UKyyaqoqKCysnLSxx86dGjUiAhVaUVEROaukW0ELpePwvwLsNvdDAwE6FhxK+x/BAoK4Egj2Kzg9hAO9+J0epIbPagV4fRt3LiRz3zmM8mPQ6HQpILtpL/iFRUVWCyW03pM9TSDRChOzK89GY/HM+qhUCsiIiIQD7gulw+bzUVmZhFZngLsS24Cz3yYtxDyc8BTQGv7awwNhQiHe7Vw7Aw5nc4x2WwyJh1q6+rqiMVip/UY2dvq9/snnG6Q6KWdaDrCSJWVlVRVVY372qn25oqIiIhMJFF1Nc0IPt9CcnzzgQgsWAoDfdBxkFj36xxp+SOt7a8xPNxPLGYSjYaT11Bbwrk35bXxsrKyCSu3ibA7mckHO3funDAcJ55ftWrV6d2kiIiIyHEMw4ZpRrDb3VgLlkP3EXD7INQFLa9AxyvQ/Tqt7a8RjYYJBg8QiQwm59mqgntuTXmoraiomDCMNjY2Tnp3sPXr11NTUzPua3V1dRPuWiYiIiJyugzDhs3mIjerBAouhOJF4EiDAj90HYbml4mFu2hp2UXo6Mt0du7FNCOEw73arOEcm/JQu3btWgKBwLjBtra2dswCr2AwOGoObcLll18+bs9sMBiktraWrVu3nr2bFhERERkhLS2bbP9VMG85zuU3xkd+WRzxJfjBNqKvPQaHdtHf+CT9/R309rYyOBhUxfYcmvJQ6/P5uPvuu8f0w9bW1uL3+8eM6FqzZg0VFRVs37591POrV6+murp6TLC9/vrrWb9+/ZjriIiIiJwtFotBeno+BfkXkJd3EXZPMSxYARkl4HBCdze8vA9aGuk4+Ay9Az20NT1OJDJIb2/rqH5bOTtSMtJr9erV+Hw+qqqqKC0tTfbY1tXVjTm2oqKCXbt2jdsfW11dzbZt29ixYwfBYJBAIMDGjRsVaEVEROScs1odOJ0eDMNGblYJIUcGsawF9Pe0Q1oGEAUT2LeLWFEQQm0ctj1KWu5STLMFr3eBRn+dRZZYLBZL9U2kSigUwuv10t3dPelxESIiIiIJie1xE32zNpuLoaEQbYeeg+Zd0DcA8xfDoUYoXQWBRshfAu48iudfhs3mwmIxtM3uCUw2r+mrJyIiInKaEkHUYjHiUxGsDtzuXPKKV5K5Yh34vJBVilF2A7S+CHkLoTcAPS10dLzC8HA/phkZtYhMi8lOj0KtiIiIyFlgGH/p6kxPz2fYtJBx0e0QM3E6PZA5D468CsN90Bdg8MCzHP7zTiKRQYaGQslgm6j8yqlRqBURERE5QyMrtomf52WfRxQLJQuvZqAnCHv/DDELpOVAuA+a9sBLf+Twq/cT7GlPjv1KbLWriu2pUagVEREROQtG9sRaLAY2m4sc33xsNhcMdUK2F6wGaUUXQf4F0B6AwQE4tBeLOUxn8DADAwH6+zswzYh6bE9RSqYfiIiIiMx2sZiJ3e4mFjNJyy1lwIyAK52CguW0xkwGFy2AwUFYvIqBrv3gTKOtqwmndx7th55m4dJbFWxPgUKtiIiIyDkwcqpBIsgWFCwHIGakwdI3Q187jvR8wsHDsO8pmH8JQ0//H2RkcNCdy3nnvTl5PU1IODF9ZURERETOkZG9toWFK5I9twW5pdgy55N/wQ0Ydi8M9UPRCji0Bww79A1gtryUvE4i0KrPdmKq1IqIiIhMgZFVVsOwUVRwIQB2u5vDwQMQDUPpGyF4AHrasc5fBkAkMojV6kguIJPxqVIrIiIiMsUsFgPDsGG1OgiHe8GRAb2tONPzIO8iOG8V2dmLiUQGOdrRyOBgkIGBgCq1J6C4LyIiIpICicpt32AfRIcgPMRQXzvZ+RcwPNxPoPsIZtchbBYLrXt/A0YaBaXX4HbnpvjOpydVakVERERSyJuRA31BLPNXgNWB3e6mp+sQ0d4jxPo7GG7ZDQdfgt4Wjh5sALTr2HgUakVERERSyG53k33eKgx7OoXzLokHVpsVYjGIDYGRBg5gKIw9w0MsZqoVYRxqPxARERFJIavVQUZGIS6XD4cjA9OM4PUuYHAwSCRmJWrvApcPnDZyc5cyMBCgp78bQK0IIyjUioiIiKSY1erAanUkf+7xFJOWlo3V6qAzeJj0vHTsdjcul4+2zv0M9bdjsRjJUDs83I/d7k7lW0g5hVoRERGRaSYRck0zQm5WSXJSAoDdiNE31MMgEchZRDjcy8BAAJfLh9PpSfGdp45CrYiIiMg0k9howWp1JMd/JcRiJvR3EB12Ewo1MzQUYigSxTQj2O3uOTvLVgvFRERERKahxMiv40OqaXFCJAJWN53Bw/QGWjCH++ju7cQ0I8nj5tpCMoVaERERkRnEk56Fs3gVuDKwWh2keQuJdjQRi5kcevleTDOSDLSxmEk0Gk7xHU8NhVoRERGRGcThyCDHN5/58y4h2zuPocgQZOZB8+9hbwOv738EiC8ei0bD9Pd3zIlgq1ArIiIiMsM4nR7sdjdOp4fcrBKy8s6Hoy2Q6YbWPxOJDBLoPkIo1EwkZqW/vyPVt3zOKdSKiIiIzEAWi4Hd7sZud+PzLYQV7wBXOmmlb41vsTvcR3dPkO7Aa8SMtFTf7jk3N5fHiYiIiMwSDkcGsZjJggXX0ObykZd3Ed3dB+nv7wQjRlb+ZZjD3UBWqm/1nFKlVkRERGSGS4z9ys9fhmHY4hMTYia+LD+xSA9e74JU3+I5p1ArIiIiMgskgq3FYhCOxnC4cxg2LXi9C5LjwWYztR+IiIiIzBKJ8OpJzyJ07Me5EGhBoVZERERk1nG5fKN+nIxYzJzRAXjm3rmIiIiITOhUA21/f0dyR7KRO5PNFAq1IiIiInNcf38HncHD9PS0EIkMEouZMy7YKtSKiIiIzHFdoaNE2/5EoOWPRCKDhELNxGJmcrvdmUChVkRERGSOi4a74JmHoauJI0319A8N0NvbisVizJhgq1ArIiIiMseZTU/AYBs8+zQc2EN4oJPB4WFMMzJjFo/NjLsUERERkXNncBDwAkcgFoPOA+T45jM4GBzVW9vf35GyWzwZhVoRERGROc6y7BZwOqDoCnC7ICOHoaEQge4jdHbuTU5H6Bvsm7bBVnNqRUREROa4LE8BgXfcCb2HwO7Fm38B3b2dDPcdZXhoELc7l/6hAcIDnQC43bkpvuOxFGpFRERE5riMjEJiMRP3/Mvo7W3F51tIX18bQy89BPMvom+wD5fdjun04rRZU32741KoFREREZnjDMNGZmYRFouB17sAgJ7+bihcDMMR3M60eHW2t5WMjMIU3+34FGpFRERE5jiLxcAwbMmfA2SkZRLxlGCzRElPz8diMcjIKEweN91Mz7sSERERkSmVCLOxmInFYpCeng/E+2cTryUCrWlGpl241fQDEREREUlKBFir1YHbnYvN5hr1umlGiEQGp902ugq1IiIiIjJGLGZis7nG7CgWiQzSFTpKJDKYojsbn0KtiIiIiIyR2CL3+B3Funs7sZjDdPd2pujOxqdQKyIiIiLjGm+LXJfdThQLLrs9BXc0senV4SsiIiIi01paWvaoH6cLVWpFREREZNJsNhcul2/MArJUU6gVERERkUmLxUzsdveYBWSpplArIiIiIpM20QKyVJtedyMiIiIi0950C7SgUCsiIiIis4BCrYiIiIjMeAq1IiIiIjLjKdSKiIiIyIynUCsiIiIiM55CrYjI/2/vfpLTtt84jn/S+XWyawTLzHQRsesSnBNUuoGJTxB0AxjvusvADaSewIYbSDlBjG4gsuoyoCYrTxfqIj9RUyQMVH/t92smi0gg5Ifvgx9/+f4BALQeRS0AAABaj6IWAAAArUdRCwAAgNb7X10vHASBfN9Xr9dTHMeSpPF4fNa1VquVJpOJJKnb7cowDE2n06JuFQAAAA1XS1G7WCx0c3Oj+Xy+PRYEgWzblu/7J1/rw4cPms/nMk1TkhTHsSaTCYUtAADAM/EiSZKkyheM41hv3rzR58+fZRjGzrnBYCDHcTQajY66VhiG+vXXX/euNRwOFYahoig6+PyvX7/q1atX+vPPP/XTTz+d+qMAAACgZMfWa5WPqb29vZVpmnsFrSRdXV3Jdd2jrzWZTHR9fb13Ldu25TjOf7xTAAAAtEXlRe18Ple32808Z5qmwjDcjrE9JAxDBUGQ2as7Go3OHp97jvv7e/3222+6v7+v7DXxD+JfH2JfL+JfL+JfL+JfrybGv/LhB51OR+/evcvskQ3DUIPBQMvlUv1+/+B1HMdREASPDjE4pKjhBwxjqBfxrw+xrxfxrxfxrxfxr1eV8T/2tSqfKBbHcebQg4dWq9WjRW0QBNuJYbPZTJJkGIaiKMockgAAAICnq7YlvbKkheh6vX70sWnhO5vNdoYarFarbW8vhS0AAMDz0Kii9lRhGO4t22WapizL0vv373eWDMuSjrz4448/9PXr1+3xly9f6uXLl0ffR/rch9dAdYh/fYh9vYh/vYh/vYh/vcqM//39/c5Y3W/fvkn6p27L06iiNp0gljeRLEs6BOGhdGmwx4Y6pEH65ZdfTrrPPD///HMh18F5iH99iH29iH+9iH+9iH+9qoz/t2/f9OrVq9zzRxe1tm0rCIKzbmKz2ZQyFCCroH14/O7uTpZl5T7/9evXiqJIP/74o168eLE9fmpPLQAAAIrx757aJEn0119/6fXr1wefd3RRe+pOX3lM09Rqtco8l46lzStW/32dYyacHfLDDz8c9VoAAABotsrXqe33+7nr0KZF6GMrH6SPeaxovbi4OPn+AAAA0D6VF7W2becWo1EUHRwu8NDV1ZXCMMw8l16fXlgAAIDnofLNF+I41ps3b7RcLveKzl6vp+l0qsvLy53H542N7XQ6+v3333ceL30vnE3TPGnL3XMEQSDf99Xr9ba9z1XuZPZcDYdDdbtdOY6z7fm/u7uT67q6vr4+qqcfx4njWJPJRIZh7K008hC5UI5j4k8+lMfzPEVRpDAMtV6vZVlW7vtADhTr2NjT/ssRx7E8z9OXL1+2/1+v17kxbUz7T2own8+Ty8vLvWOWZe091rKsRFLiuu7eOd/3E9M0k81msz3muu7esTJk/Qy+72f+DChW2iYe/jMMI/F9v+5bezLG43FyeXmZTKfTxDTNZDQa5T6WXCjeKfEnH8oxHo+TKIq2/99sNollWYlhGHu/X8iBYp0Se9p/8TabTTIejzPbuaS92Dap/VfeU5s6tqqfzWb68OGDPn78mPvXgeu66na7Wq/XMk3zYI9SEdLe5s+fP+9NVkuXExuNRqXew3M2mUxk2/Z2+Ilpmnu99SjOYDDQxcVF5jcf5EL5DsVfIh/KsFgsZJrm3u+cOI7V6XRkWdZ28jQ5UKxTYi/R/svgeZ4mk0nmN+qdTkemaWq5XEpqXvuvbZ1ay7KOGj87Ho8PdmEfe50i3d7e5q6+cHV1Jdd1+RArWR3vO/aRC81APhTr06dPmYWRYRgajUbyPG+7Djo5UKxTYp+i/RcrLWTzJvU/1LT2X/lEsadgPp/nbhBhmqbCMDyqMQBtRy7gKfI8T7ZtZ54bDAaSvq+DLpEDRTsl9iiHZVnabDaZ347HcbyzslTT2j9F7Rnu7u4e3fjhseXGgKeAXMBTdGg5yH/vfEkOFOuU2KNas9lM0vchH6mmtf9GbZPbFo9tvyt9fxOZdVme1Wq1s8NdFEW6vr4uZec65CMXmoF8KNahzYaiKJL0z3rq5ECxTol9ivZfvjiO5bqu5vP5ThHbtPZPUVuw9M1Nd0dD8VarlcIw3BmnE4ahBoOBlsslH2QNQS5Ug3yolud5R48RJAeKlRV72n950mW9oijSer2W7/snrf9fR/unqEXrzOfzvWP9fl/9fl/v37/PPA88VeRDdSaTSSUr7GBfXuxp/+UxDGM7UT8IAjmOI8dxGr26BGNqC8aYn/rYtq3FYlH3beD/yIV6kQ/FCsNQnufJ9/2je//IgWKcE3vaf7Esy9J8PtdwOJTneUc9p472T1GLJyNNnLztk4HnhHwo1nA41MePH9l+vQbnxJ72XzzDMHR5eSnHcRq7ogdF7RlM08ydzZeOHeGDrxyO4+zMvHyI8WvVIxfqRT5Uw7Ztua6bOdmFHCjXodjT/qv39u1bSdpOzGta+6eoPUO6v3SW9M1lpms5bm9vcxMoPX5oSRgUi1yoF/lQvrRwylvcnxwoz2Oxp/2Xo9PpaDgcZp5L/1h42Lab1P4pas9g23ZuIkVRxM4mJRqNRrkD/9OZmcx2rQ65UC/yoVyz2UzD4XCvHT9cQoocKMcxsaf9Fy+O44NDC9Jl1dLe16a1f4raM7x7907r9TrzjVwsFnIcp4a7eh7evn2bOUYqjmMtFgtmJVeMXKgX+VCexWKhfr+f+Us5DMPtL3VyoHjHxp72X7x0O+K8PxaCINiOrZWa1/5fJEmSVPqKT8RisdDNzc3OG79YLOS67sHFo/HfpcuKPPxKYzAY6OLiQq7r1nhnT1Ov11O/38/9kCMXyvVY/MmH4oVhqMlksvcVbNqDdXNzo+VyuT1ODhTn1NjT/ou3Wq00nU41nU53ero9z5PjOFoulzvxblL7p6j9D4IgkO/76vV624RL13RDuWazmb58+aI4jrVer3V1ddXotfPaZjab6dOnT9uFzaXvS7oYhpEZa3KhWKfGn3woVqfTOfgVrGma269hU+RAMc6JPe2/HOkkvDSu3W53r9BNNaX9U9QCAACg9RhTCwAAgNajqAUAAEDrUdQCAACg9ShqAQAA0HoUtQAAAGg9iloAAAC0HkUtAAAAWo+iFgAAAK1HUQsAAIDWo6gFAABA61HUAgAAoPUoagEAANB6FLUAAABoPYpaAAAAtN7fbF8aQgxJF7QAAAAASUVORK5CYII=", "text/plain": [ "
" ] @@ -270,69 +2055,31 @@ } ], "source": [ - "plt.loglog(t_es, pbh_tes_finite, label=\"PBH\", linestyle=\"-\")\n", - "plt.loglog(t_es, ffp_tes_finite, label=\"FFP\", linestyle=\"--\")\n", + "plt.plot(stars[0], stars[2], 'o', markersize=0.1, label='Stars', alpha=0.2)\n", + "# plt.plot(ffps[0], ffps[2], 'o', markersize=0.1, label='FFPs', alpha=0.05)\n", + "plt.plot(ffps_smaller_r[0], ffps_smaller_r[2], 'o', markersize=0.1, label='FFPs less perturbed', alpha=0.05)\n", "\n", - "plt.xlim(s.cadence, s.obs_time)\n", - "plt.ylim(1e-16, 1e-6)\n", - "plt.xlabel(r\"$t$ [hr]\")\n", - "plt.ylabel(r\"$d\\Gamma/dt$ [events/star/hr/hr]\")\n", - "plt.title(\"m = {}\".format(s.pbh.mass) + r\"$M_\\odot$, p = {}\".format(s.ffp.p))\n", - "plt.legend()\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 24, - "metadata": {}, - "outputs": [], - "source": [ - "def gamma_of_t(dgamma_dt, t):\n", - " t_min = t * 10**(-0.1)\n", - " t_max = t * 10**(0.1)\n", - " diff_rates_interp_log = interp1d(np.log10(t_es), np.log10(dgamma_dt))\n", - " def diff_rates_interp(t):\n", - " return 10**diff_rates_interp_log(np.log10(t))\n", - " return quad(diff_rates_interp, t_min, t_max)[0]" - ] - }, - { - "cell_type": "code", - "execution_count": 17, - "metadata": {}, - "outputs": [], - "source": [ - "t_es_limited = np.logspace(np.log10(s.cadence), np.log10(s.obs_time), 60) #hours" + "plt.legend()" ] }, { "cell_type": "code", - "execution_count": 85, + "execution_count": 66, "metadata": {}, "outputs": [ { - "name": "stderr", - "output_type": "stream", - "text": [ - "100%|██████████| 30/30 [00:00<00:00, 1006.51it/s]\n", - "100%|██████████| 30/30 [00:00<00:00, 2009.22it/s]\n" - ] - } - ], - "source": [ - "gammas_pbh = np.array([gamma_of_t(pbh_tes_finite, t) for t in tqdm(t_es_limited)])\n", - "gammas_ffp = np.array([gamma_of_t(ffp_tes_finite, t) for t in tqdm(t_es_limited)])" - ] - }, - { - "cell_type": "code", - "execution_count": 18, - "metadata": {}, - "outputs": [ + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 66, + "metadata": {}, + "output_type": "execute_result" + }, { "data": { - "image/png": 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", + "image/png": 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", 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" ] @@ -342,50 +2089,32 @@ } ], "source": [ - "plt.loglog(t_es_limited, gammas_pbh, label=\"PBH\", linestyle=\"-\")\n", - "plt.loglog(t_es_limited, gammas_ffp, label=\"FFP\", linestyle=\"--\")\n", "\n", - "plt.xlim(s.cadence, s.obs_time)\n", - "plt.ylim(1e-16, 1e-6)\n", - "plt.xlabel(r\"$t$ [hr]\")\n", - "plt.ylabel(r\"$d\\Gamma(t)$ [events/star/hr]\")\n", - "plt.title(\"m = {}\".format(s.pbh.mass) + r\"$M_\\odot$, p = {}\".format(s.ffp.p))\n", - "plt.legend()\n", - "plt.show()" + "\n", + "plt.legend()" ] }, { - "cell_type": "code", - "execution_count": 18, + "cell_type": "markdown", "metadata": {}, - "outputs": [], "source": [ - "def my_cdf(sample, x):\n", - " # Counts how many observations are below or equal to x and normalize\n", - " return np.sum(sample <= x) / len(sample)" + "## Stats" ] }, { "cell_type": "code", - "execution_count": 19, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ - "def sample_crossing_times(t_es, gammas, n_samples):\n", - " norm_gammas = gammas/np.sum(gammas)\n", - " cdf = np.cumsum(norm_gammas)\n", - " \n", - " samples = []\n", - " for _ in range(n_samples):\n", - " r = np.random.rand()\n", - " t_e_sample = np.interp(r, cdf, t_es)\n", - " samples.append(t_e_sample)\n", - " return np.array(samples)" + "def my_cdf(sample, x):\n", + " # Counts how many observations are below or equal to x and normalize\n", + " return np.sum(sample <= x) / len(sample)" ] }, { "cell_type": "code", - "execution_count": 21, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -421,16 +2150,9 @@ "plt.show()" ] }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Stats" - ] - }, { "cell_type": "code", - "execution_count": 20, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -458,7 +2180,7 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -466,9 +2188,15 @@ "evalue": "name 'gammas_pbh' is not defined", "output_type": "error", "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", - "\u001b[0;32m/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_42445/3115951314.py\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0mnum_samples_pbh_temp\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;36m0\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 2\u001b[0m \u001b[0;32mwhile\u001b[0m \u001b[0;32mTrue\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 3\u001b[0;31m \u001b[0msamples_pbh\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0msample_crossing_times\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mt_es_limited\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mgammas_pbh\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mnum_samples_pbh_temp\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 4\u001b[0m \u001b[0msamples_ffp\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0msample_crossing_times\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mt_es_limited\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mgammas_ffp\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mnum_samples_ffp\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 5\u001b[0m \u001b[0msamples_both\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mconcatenate\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0msamples_pbh\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0msamples_ffp\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m\n", + "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)\n", + "\u001b[0;32m/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_42445/3115951314.py\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n", + "\u001b[1;32m 1\u001b[0m \u001b[0mnum_samples_pbh_temp\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;36m0\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[1;32m 2\u001b[0m \u001b[0;32mwhile\u001b[0m \u001b[0;32mTrue\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m----> 3\u001b[0;31m \u001b[0msamples_pbh\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0msample_crossing_times\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mt_es_limited\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mgammas_pbh\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mnum_samples_pbh_temp\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0m\u001b[1;32m 4\u001b[0m \u001b[0msamples_ffp\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0msample_crossing_times\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mt_es_limited\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mgammas_ffp\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mnum_samples_ffp\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[1;32m 5\u001b[0m \u001b[0msamples_both\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mconcatenate\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0msamples_pbh\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0msamples_ffp\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\n", "\u001b[0;31mNameError\u001b[0m: name 'gammas_pbh' is not defined" ] } @@ -489,7 +2217,7 @@ }, { "cell_type": "code", - "execution_count": 37, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -526,119 +2254,162 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "### Comparison with popsycle Evan" + "## Old Mass Comparison" ] }, { "cell_type": "code", - "execution_count": 25, + "execution_count": 16, "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "100%|██████████| 30/30 [00:49<00:00, 1.64s/it]\n" - ] - } - ], + "outputs": [], "source": [ - "pbh_tes_finite_30 = np.array([s.pbh.differential_rate_mw(t, finite=True, v_disp= 30) for t in tqdm(t_es)])" + "ms = np.logspace(-9, -3, 30)" ] }, { "cell_type": "code", - "execution_count": 26, + "execution_count": 17, "metadata": {}, "outputs": [ { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" + "name": "stderr", + "output_type": "stream", + "text": [ + " 0%| | 0/30 [00:00" + ] + }, + "metadata": {}, + "output_type": "display_data" } ], "source": [ - "t_e_typical = 4.1 * (1e7)**(1/2) * (4)**(1/2) * (280/50)**(-1) / 24\n", - "print(t_e_typical)" + "plt.plot(ms, diff_rates_ffp_mw_point, label=\"Point\")\n", + "plt.xscale(\"log\")\n", + "plt.yscale(\"log\")\n", + "plt.xlabel(r\"Mass [$M_\\odot$]\")\n", + "plt.plot(ms_limited, 1e-15*ms_limited**(-1.15), label=r\"$M^{-1.15}$\", ls=\"--\")\n", + "plt.legend()\n", + "plt.show()\n" ] }, { "cell_type": "code", - "execution_count": 25, + "execution_count": 120, "metadata": {}, "outputs": [ { - "name": "stderr", - "output_type": "stream", - "text": [ - "\n", - "\u001b[A/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_42445/1789794238.py:4: RuntimeWarning: divide by zero encountered in log10\n", - " diff_rates_interp_log = interp1d(np.log10(t_es), np.log10(dgamma_dt))\n", - "100%|██████████| 60/60 [00:00<00:00, 2215.50it/s]\n" - ] + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" } ], "source": [ - "# gammas_pbh = np.array([gamma_of_t(pbh_tes_finite, t) for t in tqdm(t_es_limited)])\n", - "gammas_pbh_point = np.array([gamma_of_t(pbh_tes_point, t) for t in tqdm(t_es_limited)])\n", + "plt.plot(ms_limited, gamma_of_ms_point, label=\"Point\")\n", + "plt.plot(ms_limited, gamma_of_ms_finite, label=\"Finite\")\n", "\n", - "# gammas_pbh_30 = np.array([gamma_of_t(pbh_tes_finite_30, t) for t in tqdm(t_es_limited)])" + "# plt.ylim(1e-24, 1e-21)\n", + "plt.xscale(\"log\")\n", + "plt.yscale(\"log\")\n", + "plt.xlabel(r\"Mass [$M_\\odot$]\")\n", + "plt.ylabel(r\"$\\Gamma(M)$ [events/star/hr]\")\n", + "plt.legend()\n", + "plt.show()" ] }, { "cell_type": "code", - "execution_count": 26, + "execution_count": 99, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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" ] @@ -648,28 +2419,43 @@ } ], "source": [ - "# plt.loglog(t_es_limited/24, gammas_pbh, label=\"PBH, 280km/s\", linestyle=\"-\")\n", - "plt.loglog(t_es_limited/24, gammas_pbh_point, label=\"PBH Point, 400km/s\", linestyle=\"-\")\n", + "num_samples_ffp = 10000\n", + "bins_m = np.logspace(-9,-3,20)\n", + "samples_ffp_point_m = sample_crossing_times(ms_limited, gamma_of_ms_point, num_samples_ffp)\n", + "bin_counts_ffp_point_m, bin_edges_ffp_point_m = np.histogram(samples_ffp_point_m, bins=bins_m, density=False)\n", + "plt.bar(bin_edges_ffp_point_m[:-1], bin_counts_ffp_point_m/np.sum(bin_counts_ffp_point_m), width=np.diff(bin_edges_ffp_point_m), align=\"edge\", edgecolor=\"black\", label=r\"LensCalcPy Point\", alpha=0.5, color='blue')\n", "\n", - "# plt.loglog(t_es_limited/24, gammas_pbh_30, label=\"PBH, 30km/s\", linestyle=\"-\")\n", + "bin_counts_popsycle_m, bin_edges_popsycle_m = np.histogram(nick_ffp_masses, bins=bins_m, density=False)\n", + "plt.bar(bin_edges_popsycle_m[:-1], bin_counts_popsycle_m/np.sum(bin_counts_popsycle_m), width=np.diff(bin_edges_popsycle_m), align=\"edge\", edgecolor=\"black\", label=r\"Popsycle\", alpha=0.5,color='orange')\n", + "\n", + "plt.xscale('log')\n", + "plt.yscale('log')\n", + "plt.xlabel(r\"$M$ [M$_\\odot$]\")\n", + "plt.ylabel(\"Normalized Counts\")\n", "\n", - "plt.xlim(s.cadence/24, s.obs_time/24)\n", - "plt.ylim(1e-12, 1e-6)\n", - "plt.xlabel(r\"$t_E$ [day]\")\n", - "plt.ylabel(r\"$d\\Gamma(t)$ [events/star/hr]\")\n", - "plt.title(\"m = {}\".format(s.pbh.mass))\n", + "plt.ylim(1e-3, 5e-1)\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "code", - "execution_count": 27, + "execution_count": 52, + "metadata": {}, + "outputs": [], + "source": [ + "pre_event_masses_ffps = pd.read_csv('popsycle_data/ffp_mass_1x.csv', header=None).values.flatten()\n", + "pre_event_masses_ffps_flat = pd.read_csv('popsycle_data/mass_p_0_20x.csv', header=None).values.flatten()\n" + ] + }, + { + "cell_type": "code", + "execution_count": 59, "metadata": {}, "outputs": [ { "data": { - "image/png": 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nQ5/zT2zXdQ/c1ybAYTA0PKKzY0919Zi3u3o0oDF/uecwH/nIR/Sd73wnuP/UU081LFX64Ac/qO9973vB/aefflrXrl0LbTs5ORmEKkl673vfqzfffHNHu3YqNDc2NoJ/T5sJYf6/saVSaUdQtm27bkQ6l8vVXTfkuq5KpVJdiUAulwtuF4tFLSws1I1Wj4yMaHV1VfF4XJcuXdLIyIiKxaLm5uZkWZZWV1dl27bi8bhGRkZkWVbwOuLxuNLptDKZjEzTDCYW8IOp67oaHx8PSkn8b7Tz+fyOCQRM01SpVNLAwEDda/YvZtw6IFgsFpVKpYL3IhaLaXV1VQMDA7JtW9lsVoZhKJlMamRkRFNTU3t+QJGa+/1s5f+uwvq+V58Mw9DMzEzwO06lUrIsq+53t9vvqxcXDPbl9HClUqnhhXV+DdT2MOu6rvL5fPBjWVYQqn3NjBb7n44AAMDeWrkgb/u/y5J2lCvMzc2pXC6rXC5LejSyuv3f5q0BcXZ2VvPz83XPb71Ibfu/+9lsNghuhmEEo8lbjY2N1YU2vy+SghJO/7qoZmzvQyaTkWVZO15TuVxWsVjcsa3/49v+IaiTwnJToz6Vy+W6fDY1NaWVlZW6bff6fXVbX44o7yafz++oI/YL1bc+7jiOJiYmtLq62tSnKb9NtVqNsrsAAOjmzZsNnzt+/Hjd/Z///OcN2x47Vj/+9cYbbzTd9sc//nFbo8d7uXHjxp5t/H9bw/49DvuGOBaLBV/3x+Nxzc7Oanx8XMlkUolEQvF4vK5kcvvg2cTExI6L1Bp9W5zJZJRKpYL2juPUtU2n03UzcPmhvd284Af/sG/P4/G4lpaWdowUT01N1d0/CCWiYX3aPiK8vZ+t/L665VAFZcuyZJrmjk8dYRcRxGIxxWIxzc7O7nqRQTvW19fr7g8ODmpwcDDSYwAADo9W6oA71XZoaKjptq3wPG/Pb2z90ddEItHUPkdHR4NAahiGrly5IsuyVCwWlcvlgunO/NHKcrlcF7j9+uLt+wyTTCZlGIaKxWIwqhtWI72wsKDJyUllMpl9TZfm97nR+9XP32zvFeBb+X21YmNjQxsbG8H97TltN4cmKDuOo3w+3/QIsfTof8hmr0Btpfb5/PnzdfdfeOEFvfjii00dBwCAw2Z5eXnXWaOWlpaCet5mVKvVYMTVH+H1Rxz9i8wWFhaC4O2PMLdrenpatm2H1vz609+VSqWmj+G6rlzXDX29/j4afbg4rAt7SP/w2vb7+9puYWFBX/ziF9vati9rlMOkUildunSppTfWD72t1BE146233tLa2lrws73WBgCAo+Kzn/3sjnrbrYrFohzHafjtblgJg+M4SqVSkh6Fzu01wrZtB7NVNKoX3rrNXjKZTDDF2/aw7F+MtjV/+H32PK/hcRoNvPl9DtvOn3P6sIrq97Xd/Px8XS576623mt72UATlRCIh27ZD64vCCuJ92+uOTdNs+JXG1jZ7OXfuXN0PZRcAgKPqS1/6ktLptBKJxI6L9fzp2UqlUsMa4e0X71uWpWQyWTcau/1redd1g0C5uLi4Iwf405M1KxaLyTRNFQqF0BywdV/+vMT+ss9+II7FYkFpwfY65+37WFxcrFsBT3p0Ddbk5GRT6zn45S7d0syxwvoU9lgUv6/tBgcHd2SzZvV96YUfhBt9XbO8vNzwOT8U+1/fxGKxhr8Ivy1TwwEAsLuTJ0/qG9/4RnA7m80Gyx9vXbDi+vXru5ZMzs3NaX5+vm4e5bGxsR3BOJVKKZfLBfvZOudwMpmUaZrKZDLBWgujo6NBvbFfsjE7O6t4PN6wFrbRoJs/NZ0/fezo6KgKhULQ3u+HHwD9JaOlR4HZtm15nhcE42QyGfTZsiyNj48H2WTrh4bt21arVU1PT2thYUErKytBKG/lIrhyuaxSqRSM6PrLkBuGofn5+R3Lj2/vuz+a36hP/gI02Ww2KFnxS2X868x2+331Ql8uYe3L5XKKxWI7gvDW2p/dllpMpVLBJOPSo09r2Ww2dJlNf0LyRtPSSSxhDbTjZz/7meYXvqaxX/vnXZ1H+e3rP9f1//HftDD/Wb3jHe/o2nEBAL3VSl7r29KLYrEYGpKlR59y/E9rU1NTobUunuepWCzWhejp6WlVq9XQ8otisXggl54EAABAZ/Rl6YU/3J9KpeqWjfS/mlhaWgpWdEkmk8pkMjuWP7x48aLS6XTdUL5hGMFXI1svKigWi8HXAQAAYHf379/Xn/3Zn0mSPvzhD+uxx/oybgD9GZQvXry465Wk2wvtbdtWLpfT0tJSUFw/Pz8fGnz9+RJ3qwsCAACNbWxs6GMf+5ikR4upEJTRr/ryzG1mlZ/ttk8Ovht/pR8AAAAcXX1bowwAAAB0EkEZAAAACEFQBgAAAEIQlAEAAIAQBGUAAAAgRF/OegEAAA6ukydP6g//8A+D20C/IigDAIBInThxQs8991yvuwHsG6UXAAAA2JW/ANtRw4gyAAA9tra2plqt1utuhBoaGtLw8HBL2zx48EB/+Zd/KUn6jd/4DR0/frwTXUOXWJalmZkZxWKxXnel6wjKAAD00Nramr6U+5quvX0wg/ITZ4f0hbnPthSW79y5o9/8zd+UJH3yk5/U97//fbmuq3g8LtM0g3bValVTU1N1q+d6nifLslQul4Nt/IDmeZ6q1apGR0eVzWZlGEbw+MLCgorFYt022WxWkpTL5VQqlVQul2WappLJpDKZTF1fmpVIJFQqleoec11X2WxW4+PjkiTDMJROp1tuE6ZcLiubzapcLmt1dbUnYdVxnOC9PGoIygAA9FCtVtO1t2s6/Z4PaGh4pNfdqVNbu6FrP/mBarVay6PKvn/37/6dvvWtbymTyci27R3hNJFIaGlpSaurq5IeBUjbtlUsFpVKpVQoFIJA7MtkMrpw4YKuXLkiwzBkGEYQQjOZjLLZbF2gnJubUzqd1sjIiJLJZNuhL5fLqVwu1z3muq4mJiaCvkiPRmBzuVzwAaCZNo3E43FNTk5qZKQ354bjOEdyJNlHUAYA4AAYGh7R2bGnet2NHW5HsI/R0dGGz9m2rfHx8aZCoy+bzSqfz8uyLNm2veP57cF662NjY2NNHWM713V1+fLl0L6k0+m6Y87Pz2tkZCR4Pc202U3Y6+kW27ZlWVbPjt9rXMwHAAB6xh9h3l7OsBs/OFar1U50KVSxWNTMzMyOx5eXl4NyCp/fP3/0uZk2B5Xrum2VqBwWjCgDAICecV1Xklr6er9YLEp6VILRDcViUclkUo7j1D3ueZ48zwsNkoZhyHEcTU5O7tkmHo+31B/P83ThwgV5nqd4PK5CoSDXdTU7OyvXdXXp0qXgffU/gNi2HdR9e56ny5cva3FxcdfRar/8Zftjfp14tVrV6uqqUqlUy6+hXxCUAQBAz1iWJdM0m6ob9jxPy8vLymazKhQKXQln/gWEpmnuCMp+GA0zOjqq69evN9WmVYZhKB6Pa35+PviAEYvFtLq6qoGBAdm2HVzsmEwmNTIyIsMwNDMzE7xnqVSqYemKb2lpSYuLi8F913VVKpXqtsnlci33v58QlAEAQFfYtl1XI1ypVGSapgqFQsNt8vl83ahnpVJRMpnctRzAD99btTsPcD6fb7p2ertmjtlOv3K5XMPRYP/ixq3PTU5OBrNn+KamprS0tLRn37bux3GcHcE/mUzu+mGg3xGUAQBApE6cOBGMNJ44cSJ4vJ0p2bZfBCc9CmwTExOybTt0irVsNht6nHw+39Kxy+XyrqPWu5Ut+PXTzbRpRSqV0tTU1K77nZqaqrtvGMaO92OvCwTz+fyO0pZ4PK7Z2VmNj48rmUwqkUjsmPLvsOFiPgAAEKmTJ0/q+eef1/PPP6+TJ09Gvv9YLBbMhdxJe02N5s/mETYq7I/GNtOmWQsLC5qampJlWS2PRLc6c0ahUFAymdyxjytXrigej6tYLCqRSGh8fPxQr9rHiDIAAOg7/ihmp+b5zefzqlQqdVOj+TXKlmVpbGxMc3NzMgyj4chwIpEIyiB2a9Msvya5VCppdnZ215KV/WgU4P332q9Rdl1XmUxGCwsLh3ZBEoIyAACI1IMHD4JQ2anFKjq9/7CSjnw+v6PWd3p6WpVKpa6dX7Prl20006YZfngtFAoaGRnZszSkXWFlF9KjPler1eCYpmnKtu2uzT7SC5ReAACASN25c0fvf//79f73v1937twJRlOj+oq+WCzuCKxbNSpzkNTWLBO77deyrGC6Op9t23UzQzTTphWGYWhubm7H1G2N+NPY7fWYr1QqNQzg299z13VbGhXvN4woAwBwANTWbvS6CztE0acvfOEL+q//9b9KehQYY7HYrl/Te56nhYWFIFjOzs4GZRae59XND+yHue3bbD9OLpcL5hPeOgdzsxehua4bLKstPbqgLpFIKJ1OB7N2WJalqakpua6rsbGxuhHpZto0Ui6Xg0CdyWSUyWSUTCZVLpfleZ4mJiY0Pz8fjO7670W1WtX09LQWFha0srIi13VlWZay2axyuZxs2w5KJ7bOErLXAiOpVEq5XC4Y3fY8r+1ZQfrBwObm5mavO3FYrK+va3h4WGtrazp37lyvuwP0hZ/97GeaX/iaxn7tn3d1+d63r/9c1//Hf9PC/Gf1jne8o2vHBbZbW1vTl3Jf07W3a73uSqgnzg7pC3Of1fDwcNPb3Lp1S48//rgk6ebNmzpz5kynuoeIWZalmZmZjpW0HASt5DVGlAEA6KHh4WF9Ye6zqtUOZlAeGhpqKSSjv+1W0nIUEZQBAOix4eFhwih6rp3ltA87LuYDAADAoZ/Boh0EZQAAAEjSoV5lrx2UXgAAgEidOHFCL7zwQnAb/aHd6eoOM4IyAACI1MmTJ/Xiiy/2uhvAvlF6AQAAAIRgRBkAAETq4cOH+slPfiJJes973qNjxxiXQ38iKAMAgEjdvn1bv/qrvyqJBUfQ3/iIBwAAAIQgKAMAAAAhCMoAAABACIIyAAAAEIKgDAAAAIQgKAMAAAAhmB4OAABE6sSJE/r85z8f3Ab6FUEZAABE6uTJk/rqV7/a624A+0bpBQAAABCCEWUAABCphw8f6qc//akk6Zd+6ZdYwhp9i6AMAAAidfv2bV24cEESS1ijv/ERDwAAAAhBUAYAAABCEJQBAACAEARlAAAAIARBGQAAAAhBUAYAAABCMD0cAACI1GOPPabPfOYzwW2gX3H2AgCASA0ODuqll17qdTeAfaP0AgAAAAjBiDIAAIjU5uamrl27Jkl64oknNDAw0OMeAe0hKAMAgEjVajU99dRTkljCGv2N0gsAAAAgBEEZAAAACEFQBgAAAEIQlAEAAIAQBGUAAAAgBEEZAAAACMH0cAAAIFKPPfaYfvu3fzu4DfQrzl4AABCpwcFBffOb3+x1N4B9o/QCAAAACMGIMgAAiNTm5qZqtZokaWhoiCWs0bcYUQYAAJGq1Wp6/PHH9fjjjweBGehHBGUAAAAgBEEZAAAACEFQBgAAAEIQlAEAAIAQfT3rRT6fV6VSkeM4qlarisfjymazoW3L5bJKpZLGx8fleZ4kaW5ubt9tAQAAcDj1bVC2LEuZTEbpdFqS5HmeUqmURkZGdOXKFRmGEbQtFotaWlpSoVAIHiuXy0okEiqVSnX7baUtAAAADq++DMrFYlEzMzMyTTN4zDAMFQoFjYyMKJVKBaHW8zzNzs7qypUrdfuIx+OyLEv5fL4ubDfbFkD/u7uxoatXr3b9uENDQxoeHu76cYFuOX78uJLJZHAb6Fd9GZQvX74c/A+4lWEYSqfTyufz8jxPhmFoeXlZpmnWjTD7ZmZmZNt2EH5baQugv23Ubuq1117Tl1/6uoZOD3X12E+cHdIX5j5LWMahderUqbpvZoF+1ZdBOZ/Py3Gc0FKIiYkJSdLKyori8bgKhYJGR0dD92OaphzHCUJ1K20B9Ld7G3d05+GATv/Kr2vsHe/q2nFrazd07Sc/UK1WIygDwAHXl0F5cnKy4XP+xXd+4F1ZWdH09HRoW790w3VdxWKxltoCOBxOD4/o7NhTXT3m7a4eDQDQrr6cHq5UKjW8sK5SqUhSEGabGQF2XbfltgAAINytW7c0MDCggYEB3bp1q9fdAdrWlyPKu2nlgjs/FFer1Ujbrq+v190fHBzU4OBgU30CAABAdDY2NrSxsRHc357TdtOXI8qNWJYl0zQbzqXcLefPn9fw8HDws7Cw0NP+AAAAHFULCwt1uez8+fNNb3toRpQdx1E+n9fq6mrTF9ttr2eOqu1bb72lc+fOBfcZTQYAAOiN+fl5fe5znwvur6+vNx2WD01QTqVSunTpUt3cyr1y7ty5uqAMAACA3thPCeyhKL1IJBKybTt0NgrTNBtegOfXG/vhupW2AAAAONz6PihnMhlZlqV4PB76fCwWC8omtvNDsR+wW2kLAACAw62vg3Iul1MqldoRkl3XVblclvRotLnRKHGlUqnbtpW2AAAg3PHjx/WRj3xEH/nIR1jCGn2tb4NysVhULBYLDa+O4wQlEtPT06pWq6EBuFgsKpPJBPdbaQsAAMKdOnVK3/nOd/Sd73xHp06d6nV3gLb15cV8juPItm2lUinl8/ngcb9sYmlpSaurq5IezX+8uLgoy7Lq1p0vFosyTVPJZDJ4rJW2AAAAONz6MihfvHhRnucF5RXbbb/gLplMyjAMWZal8fHxIFCHre7XSlsAAAAcXn0ZlG/cuNHyNvF4vOka41baAgCAerdu3dJTTz0lSfr5z3+uM2fO9LhHQHv6MigDAICDrVar9boLwL717cV8AAAAQCcRlAEAAIAQBGUAAAAgBEEZAAAACEFQBgAAAEIw6wUAAIjUsWPH9MEPfjC4DfQrgjIAAIjU6dOn9b3vfa/X3QD2jY95AAAAQAiCMgAAABCCoAwAACJ169YtPfnkk3ryySd169atXncHaBs1ygAAIHLXrl3rdReAfWNEGQAAAAhBUAYAAABCEJQBAACAEARlAAAAIARBGQAAAAjBrBcAACBSx44d0+TkZHAb6FcEZQAAEKnTp0/r8uXLve4GsG98zAMAAABCEJQBAACAEARlAAAQqVqtpqefflpPP/20arVar7sDtI0aZQAAEKnNzU29+eabwW2gXzGiDAAAAIQgKAMAAAAhCMoAAABACIIyAAAAEIKgDAAAAIRg1gsAABCpgYEBvfe97w1uA/2KoAwAACI1NDSkH/3oR73uBrBvlF4AAAAAIQjKAAAAQAiCMgAAiFStVtP73vc+ve9972MJa/Q1apQBAECkNjc39eMf/zi4DfQrRpQBAACAEARlAAAAIARBGQAAAAhBUAYAAABCEJQBAACAEMx6AQAAIjUwMKBf/uVfDm4D/YqgDAAAIjU0NKQ33nij190A9o3SCwAAACAEI8oA6qytrXV1Ja2rV6/q7t27XTseAADNIigDCKytrelLua/p2tvdC8q1Wzf1o795XWO/9rGuHRNAZ92+fVv/7J/9M0nSf//v/12nT5/ucY+A9hCUAQRqtZquvV3T6fd8QEPDI1055sOfVrTxw7/Wvfv3u3I8AJ338OFDraysBLeBfkVQBrDD0PCIzo491ZVj3bxxrSvHAQCgVVzMBwAAAIQgKAMAAAAhCMoAAABACIIyAAAAEIKL+QAAQOSeeOKJXncB2DeCMgAAiNSZM2f0i1/8otfdAPaN0gsAAAAgBEEZAAAACEFQBgAAkbp9+7aeffZZPfvss7p9+3avuwO0jRplAAAQqYcPH+r73/9+cBvoV4woAwAAACEIygAAAEAIgjIAAAAQgqAMAAAAhCAoAwAAACGY9QIAAERuaGio110A9o2gDAAAInXmzBndunWr190A9o3SCwAAACAEQRkAAAAIQVAGAACRunPnjj760Y/qox/9qO7cudPr7gBto0YZAABE6sGDB/rTP/3T4DbQrxhRBgAAAEIQlAEAAIAQXS29eOONNyRJo6OjOnfu3L7353meLMuSYRjKZrOhbVKplEZHR5XJZBSLxeR5nlZWVmTbtubn5xWLxeral8tllUoljY+Py/M8SdLc3Ny++woAAID+EmlQ/p3f+R390R/9UcPnS6WSpEcBt1Kp6N3vfrc+//nPt3wcy7Lkuq6mpqZULpcVj8cbtvU8T8ViUfl8PnjMMAwVCoUdIblYLGppaUmFQiF4rFwuK5FIBH0HAADA0RBpUC6Xy7s+Pzs7W3f/lVde0R/8wR+0HJa3jh4vLS3t2jYWi8myLDmOI0kyTVPJZHJHO8/zNDs7qytXrtQ9Ho/HZVmW8vm80ul0S/0EAABA/4o0KG9ubrbU/plnnqkb6e2UeDy+66izJC0vL8s0TRmGseO5mZkZ2bZNUAYAADhCIr2Yb2BgoOVtXNeNsgttKxQKGh0dDX3ONE05jhPULAMAgMbOnDmjzc1NbW5u6syZM73uDtC2SINytVptqt36+rpeffVVffjDH47y8PuysrIi0zRDn/MfPyihHgAAAJ3XVunF9PS0XNeV67paW1ure+748eNN78c0za5cJOe6bl39dKVS0fz8fF2Zhed5oWUX2/ez/QJAAAAAHE5tBeXl5eXgdrlcVjab1aVLlzQwMKCLFy82tY9EIqF0Oq3h4eF2utA013XlOE5dfbHjOJqYmNDq6uqe4VhS0KaVEfOtBgcHNTg42HSfAQDoZ3fu3NG/+lf/SpL0H//jf9SpU6d63CMcZRsbG9rY2Ajub89pu9n3xXz+hXKZTEbf/e539ed//uf73WWktk715ovFYorFYpqdnQ19fr/Onz9fd/+FF17Qiy++GPlxAAA4iB48eKBisShJ+uY3v9nbzuDIW1hY0Be/+MW2to1s1gvbtvXud787qt11XCKRUCaTaaqtfxFfo4v9tnvrrbfqFlRhNBkAAKA35ufn9bnPfS64v76+vmNQs5FIp4ezLCvK3XWUH3odx4m87vjcuXORrDwIAACA/dlPCWyks15sX1CkGf/oH/2jKLtQJ5PJNAzv2+uOTdNsOKvF1jYAAAA4GiINyu24fv16x/a9vLzcMPz6j09OTkp6VLfcaJ5kvy0zXgAAABwdkZZeSI/qPvL5vEql0p6zRIRNLxeldDpdt9z1VqVSqW4lvkQi0bBtpVLZc2U/AAAAHC6RBuW1tTVduHChpRXs2lnNr1lTU1OhNcie56lYLNbNeDE9PS3LsuS67o4Si2Kx2DBEAwAA4HCKvEZ5cnJSq6urevjw4Z4/1Wq1qXmMd+N5XsOR62QyKdu25ThO3eMXL15UOp1WMpkMHjMMQ4uLiztqmovFokzTrGsLAAAaGxoa0s2bN3Xz5k0NDQ31ujtA2yIdUXZdVysrK023NwxDIyMjLR8nl8vp8uXLweqArusqkUjIMAzNzMzUhVrbtpXL5bS0tBSE6vn5+dDgm0wmZRiGLMvS+Ph4MDLejdUDAQA4LAYGBnTmzJledwPYt0iDsn9hXCvaWfBjbm6uY+39BVQAAABwtEVaetHO6PAzzzwTZRcAAECPbWxs6BOf+IQ+8YlP1C0dDPSbSIPy6Oio3njjjZa2+e53vxtlFwAAQI/dv39ff/zHf6w//uM/1v3793vdHaBtkQbl559/Xl/5yle0vr7e9DbNLiMNAAAAdFPk8yi//PLLmp+fl/RobmLTNIPlorerVCp7zrUMAAAA9EKkQfnYsWN18yLncrkodw8AAAB0TaRB2TRNua6reDze1PzIlUpFr776apRdAAAAACIRaVA2DEPFYlH/4l/8i6a3GRsbi7ILAAAAQCQivZhvcnJyx/LPe7lw4UKUXQAAAAAiEemI8ssvv9zyNq2s5AcAAA6+oaEh/fznPw9uA/0q8lkvAADA0TYwMKAnn3yy190A9i3S0otWra2taWpqqpddAAAAAEL1NCivrKzI87xedgEAAERsY2NDzz33nJ577jmWsEZfi7T0otXRYcdxmppGDgAA9I/79+/r3//7fy/p0ZoKg4ODPe4R0J5Ig3KlUml6hNgwDA0PD0d5eAAAACAykZZemKapTCajhw8fNvy5ceOGlpeXNT09LcdxdP369Si7AAAAAEQi0qA8OjqqVCq1a5vh4WElk0m9/PLLsm1b6+vrUXYBAAAAiESkQdm2bX3oQx9quv3CwoIWFhai7AIAAAAQiUiDcjur7G1ubkbZBQAAACASPZ0eTno0lzIAAABw0PR8ZT7XdXvdBQAAEKHTp0/rypUrwW2gX0UalFu5MM91XS0sLMg0zSi7AAAAeuzYsWN6+umne90NYN8iDcqGYWhgYKCl9v4nTgA4Ku5ubOjq1atdPebQ0BBz1wNAiyINyqZpynVdJZPJXduNjo5qYmJC09PTOnfuXJRdAIADbaN2U6+99pq+/NLXNXR6qGvHfeLskL4w91nCMrri7t27+v3f/31J0r/5N/9GJ0+e7HGPgPZEPqKcz+f1qU99KsrdAsChcW/jju48HNDpX/l1jb3jXV05Zm3thq795Aeq1WoEZXTFvXv39Ad/8AeSpBdffJGgjL4VaVCenJyk5hgAmnB6eERnx57q2vFud+1IAHB4RBqUX3755Sh3BwAAAPRMx6eHW19fl+u6qlarMk2Tq2ABAADQFzq24Mirr76qqakpjYyMaGJiQolEQuPj4/rH//gf60/+5E86dVgAAAAgEh0Jyp/+9KcVi8W0urqq4eFhXbhwQRcuXNDw8LBef/11JZNJ/ct/+S87cWgAAAAgEpEH5fn5ea2srKhUKunhw4eqVqt6/fXX9frrr6tarerGjRv6oz/6I62srOgzn/lM1IcHAAAAIhFpUH7llVdUKpW0srKiixcvhrYZHh5WOp0OwvOrr74aZRcAAECPnT59Wj/84Q/1wx/+kCWs0dciDcr5fF6XLl1quv3y8rIWFhai7AIAAOixY8eO6X3ve5/e97736dixjl0OBXRcpGfv5uZmS5PZG4ahGzduRNkFAAAAIBKRTg83MjLS8jYsUAIAwOFy9+5dffnLX5Yk/d7v/R4r86FvRRqUPc9reRtGlAEAOFzu3bunL37xi5Kk559/nqCMvhV56cWbb77ZdPtXX321rVFoAAAAoNMiHVGem5tTPB6X4zg6e/bsrm2vXLmiixcvanV1NcouAAAAAJGIdETZNE0tLCzo6aef1u/93u/p1Vdf1fr6evD8+vq6vvvd72pmZkbvfve79ZWvfIUlrQEAAHAgRTqiLEnJZFLValWf/vSnlc1mQ9tsbm4qm81qdnY26sMDAAAAkejI5IbpdFrValWf+tSnNDw8rM3NzeDn4x//uCqVip5//vlOHBoAAACIROQjyj7DMGTbtmzbliStra21NMcyAAAA0EsdC8rbEZIBADgaTp06pb/6q78KbgP9qumg/Lu/+7taW1tr+LxhGKHLUb/yyiuybVuTk5OKx+NcvAcAwCF3/PhxTU1N9bobwL41HZTn5+c1NzenxcVFDQwMaHNzU4ZhKB6PK5FIaHp6OnS7Z555RtlsVq7r6itf+Ypu3LihbDZLYAYAAMCB1vTFfMPDw7JtW6urq9rc3JRlWapWq1peXtbs7OyupRXDw8N65pln9PLLL2thYUHpdFp/8Rd/EckLAAAAB8vdu3f11a9+VV/96ld19+7dXncHaFtLNcpra2v63d/9Xa2uruqZZ55p64CmaerP//zPNT09rdHRUf2Tf/JP2toPAAA4mO7du6e5uTlJ0mc+8xmWsEbfaml6uHQ6rbm5ubZD8lb5fF6f+tSn9r0fAAAAoBOaDsqXLl3ShQsXdPHixUgObBiGpqen9V/+y3+JZH8AAABAlJoOyvl8Xp/+9KcjPXgymQzmWQYAAAAOkqaDsuM4kc9UceHCBbmuG+k+AQAAgCh0ZAlrAAAAoN81HZSr1WpHOtCp/QIAAAD70fT0cBcuXNCrr76qf/pP/2lkB3/llVd04cKFyPYHAAB679SpU8F6CSxhjX7W9IhyPB6P/MK7fD6vRCIR6T4BAEBvHT9+XM8++6yeffZZHT9+vNfdAdrWdFCenp5WPp/Xm2++GcmBr1y5onw+r5mZmUj2BwAAAESp6aAci8X0oQ99SKlUKpIDT09PKx6PR1rKAQAAeu/evXt66aWX9NJLL+nevXu97g7QtpaWsLZtW+9+97v1/ve/X5cuXdLZs2dbPuD6+ro+9KEP6ZVXXlGlUml5ewAAcLDdvXtX//pf/2tJ0ic+8QmdOHGixz0C2tPS9HCmaWp5eVkrKyu6cOGC/sN/+A8tHezrX/+6Lly4oFdeeUXLy8uRz8sMAAAARKWlEWXp0Wp6L7/8sj796U8rnU5rbm5O09PTSiQSMk1ThmFodHRU1WpVnufJdV2VSiUtLy/L8zxtbm7Ktm19/OMf78TrAQAAACLRclCWpHQ6rcnJSaVSqeCivHw+v+s2m5ubMk1ThUJBzzzzTFudBQAAALql7ZX5YrGYKpWKXn75ZT3zzDPa3Nxs+PPMM8/Itm29/vrrhGQAAAD0hbZGlLdKp9NKp9NaW1vTysqKXNeV53kyDEOmaWpyclLDw8NR9BUAAADomn0HZd/w8LAuXryoixcvRrVLAAAAoGciC8oAAACSNDg4qG9/+9vBbaBfEZQBAECkHnvsMX30ox/tdTeAfWv7Yj4AAADgMGNEGQAAROrevXv61re+JUn6rd/6LVbmQ98iKAMAgEjdvXtXn/zkJyVJqVSKoIy+RekFAAAAEKKvR5Q9z5NlWTIMQ9lstmG7crmsUqmk8fFxeZ4nSZqbm9t3WwAAABxefRmULcuS67qamppSuVxWPB5v2LZYLGppaUmFQiF4rFwuK5FIqFQqtd0WAAAAh1tfll5ks1kVCgXNzc3JMIyG7TzP0+zsrBYXF+sej8fjqlaryufzbbUFAADA4deXQblZy8vLMk0zNEzPzMzItu222gIAAODwO9RBuVAoaHR0NPQ50zTlOE5Qh9xKWwAAABx+hzoor6ysyDTN0Of8x13XbbktAABobHBwUMvLy1peXmYJa/S1Qx2UPc/btYZZ+ofw20pbAADQ2GOPPaZUKqVUKqXHHuvLeQMASX0660UU/FBcrVYjbStJ6+vrdfcHBwf5RA0AANADGxsb2tjYCO5vz2m7OdQjyr1y/vx5DQ8PBz8LCwu97hIAAF1z//59FQoFFQoF3b9/v9fdwRG3sLBQl8vOnz/f9LZHdkTZvzCv0QV87baVpLfeekvnzp0L7jOaDAA4SjY2NjQ9PS1JunnzJuUX6Kn5+Xl97nOfC+6vr683HZY5czvg3LlzdUEZAAAAvbGfEthDXXphmmbDC/D8emN/RotW2gIAAODwO9RBORaLNZz72A/FsVis5bYAAAA4/A51UE4kEg1HiSuViuLxeFttAQAAcPgd6qA8PT2tarUaGoCLxaIymUxbbQEAAHD49X1Q9jyv4fzGhmFocXFRlmXVPV4sFmWappLJZFttAQAAcPj15awXuVxOly9fluu6wU8ikZBhGJqZmakLtclkUoZhyLIsjY+PB3XIpVJpx35baQsAAMKdPHlS3/jGN4LbQL/qy6A8NzfXUvt4PN50jXErbQEAwE4nTpzQJz7xiV53A9i3vi+9AAAAADqhL0eUAQDAwXX//n392Z/9mSTpwx/+MCvzoW9x5gIH1Nrammq1WlePefXqVd29e7erxwRw+GxsbOhjH/uYJJawRn/jzAUOoLW1NX0p9zVde7u7Qbl266Z+9Deva+zXPtbV4wIAcBARlIEDqFar6drbNZ1+zwc0NDzSteM+/GlFGz/8a927f79rxwQA4KAiKAMH2NDwiM6OPdW14928ca1rxwIA4KBj1gsAAAAgBEEZAAAACEFQBgAAAEJQowwAACJ18uRJ/eEf/mFwG+hXBGUAABCpEydO6Lnnnut1N4B9o/QCAAAACMGIMgAAiNSDBw/0l3/5l5Kk3/iN39Dx48d73COgPQRlAAAQqTt37ug3f/M3JT1awvrMmTM97hHQHkovAAAAgBAEZQAAACAEQRkAAAAIQVAGAAAAQhCUAQAAgBAEZQAAACAE08MBAIBInThxQrlcLrgN9CuCMgAAiNTJkyf1/PPP97obwL5RegEAAACEYEQZAABE6sGDB3IcR5IUi8VYwhp9i6AMAAAidefOHb3//e+XxBLW6G+UXgAAAAAhCMoAAABACIIyAAAAEIKgDAAAAIQgKAMAAAAhCMoAAABACKaHAwAAkTpx4oReeOGF4DbQrwjKAAAgUidPntSLL77Y624A+0bpBQAAABCCEWUAABCphw8f6ic/+Ykk6T3veY+OHWNcDv2JoAwAACJ1+/Zt/eqv/qoklrBGf+MjHgAAABCCoAwAAACEICgDAAAAIQjKAAAAQAiCMgAAABCCoAwAAACEYHo4AAAQqRMnTujzn/98cBvoVwRlAAAQqZMnT+qrX/1qr7sB7BulFwAAAEAIRpQBAECkHj58qJ/+9KeSpF/6pV9iCWv0LYIyAACI1O3bt3XhwgVJLGGN/sZHPAAAACAEQRkAAAAIQVAGAAAAQhCUAQAAgBAEZQAAACAEQRkAAAAIwfRwAAAgUo899pg+85nPBLeBfsXZCwAAIjU4OKiXXnqp190A9o3SCwAAACAEI8oAACBSm5ubunbtmiTpiSee0MDAQI97BLSHoAwAACJVq9X01FNPSWIJa/Q3Si8AAACAEARlAAAAIARBGQAAAAhBUAYAAABCEJQBAACAEARlAAAAIATTwwEAgEg99thj+u3f/u3gNtCvOHsBAECkBgcH9c1vfrPX3QD2jdILAAAAIAQjygAAIFKbm5uq1WqSpKGhIZawRt9iRBkAAESqVqvp8ccf1+OPPx4EZqAfHYkR5VQqpdHRUWUyGcViMXmep5WVFdm2rfn5ecVisbr25XJZpVJJ4+Pj8jxPkjQ3N9eDngMAAKBXjkRQ9jxPxWJR+Xw+eMwwDBUKhR0huVgsamlpSYVCIXisXC4rkUioVCp1rc8AAADorSMRlGOxmCzLkuM4kiTTNJVMJne08zxPs7OzunLlSt3j8XhclmUpn88rnU53pc8AEKW7Gxu6evVq1487NDSk4eHhrh8XAKJwJIKy9CjsxuPxXdssLy/LNE0ZhrHjuZmZGdm2TVAG0Hc2ajf12muv6csvfV1Dp4e6euwnzg7pC3OfJSwD6EtHJig3o1AoaHR0NPQ50zTlOI48zwsN0gBwUN3buKM7Dwd0+ld+XWPveFfXjltbu6FrP/mBarUaQRlAXyIob7GysqLp6enQ50zTlCS5rrujrhkA+sHp4RGdHXuqq8e83dWjAUC0jkxQdl1X5XI5uF+pVDQ/P183OtzMaDFBGQCA3R0/fjy4Fuj48eM97g3QviMRlF3XleM4dfXFjuNoYmJCq6urTZVS+G2q1eqebdfX1+vuDw4OanBwsKU+AwDQr06dOlU3exTQSxsbG9rY2Ajub89puzkSC44UCoUds1zEYjHFYjHNzs5Gfrzz589reHg4+FlYWIj8GAAAANjbwsJCXS47f/5809seiRHlRhKJhDKZTFNt/YVHGl3st9Vbb72lc+fOBfcZTQYAAOiN+fl5fe5znwvur6+vNx2Wj3RQ9kOv4ziR1h2fO3euLigDAHCU3Lp1S48//rgk6ebNmzpz5kyPe4SjbD8lsIe+9CKTyciyrNDnttcdm6Yp13VD225tAwAAgMPv0Afl5eXlhuHXf3xyclLSo7plv8SiUVtmvAAAADgaDn1QTqfTDa+8LZVKdSvxJRKJhqG6UqnsubIfAAAADo9DH5SnpqbkOM6Oxz3PU7FYVDabDR6bnp5WtVoNDcvFYrHpC/8AAADQ/w59UE4mk7Jte0dYvnjxotLpdN20cYZhaHFxcUdNc7FYlGmaO6aYAwAAwOF1JGa9sG1buVxOS0tL8jxP1WpV8/PzocE3mUzKMAxZlqXx8fGgZrlUKnW51wAAAOilIxGUJWlubq7ptvF4nHpkAADadPz4cX3kIx8JbgP96sgEZQAA0B2nTp3Sd77znV53A9i3Q1+jDAAAALSDoAwAAACEICgDAIBI3bp1S2fOnNGZM2d069atXncHaBs1ygAAIHK1Wq3XXQD2jRFlAAAAIARBGQAAAAhBUAYAAABCEJQBAACAEARlAAAAIASzXgAAgEgdO3ZMH/zgB4PbQL8iKAMAgEidPn1a3/ve93rdDWDf+JgHAAAAhCAoAwAAACEIygAAIFK3bt3Sk08+qSeffJIlrNHXqFEGAACRu3btWq+7AOwbI8oAAABACIIyAAAAEIKgDAAAAIQgKAMAAAAhCMoAAABACGa9AAAAkTp27JgmJyeD20C/IigDAIBInT59WpcvX+51N4B942MeAAAAEIIRZWAPa2trqtVqXT3m1atXdffu3a4eEwAA1CMoA7tYW1vTl3Jf07W3uxuUa7du6kd/87rGfu1jXT0uAEShVqvpve99ryTpxz/+sYaGhnrcI6A9BGVgF7VaTdferun0ez6goeGRrh334U8r2vjhX+ve/ftdOyYARGVzc1NvvvlmcBvoVwRloAlDwyM6O/ZU145388a1rh0LAACE42I+AAAAIARBGQAAAAhBUAYAAABCEJQBAACAEFzMBwAAIjUwMBBMDzcwMNDj3gDtIygDADrm7saGrl692vXjDg0NaXh4uOvHxSNDQ0P60Y9+1OtuAPtGUAYAdMRG7aZee+01ffmlr2vodHcXnHji7JC+MPdZwjKAfSEoAwA64t7GHd15OKDTv/LrGnvHu7p23NraDV37yQ9Uq9UIygD2haAMAOio011esEeSbnf1aNiuVqtpampKknT58mWWsEbfIigDAIBIbW5u6sc//nFwG+hXTA8HAAAAhCAoAwAAACEIygAAAEAIgjIAAAAQgqAMAAAAhGDWCwAAEKmBgQH98i//cnAb6FcEZQAAEKmhoSG98cYbve4GsG+UXgAAAAAhCMoAAABACIIyAACI1O3btzU1NaWpqSndvs2C4uhf1CgDAIBIPXz4UCsrK8FtoF8xogwAAACEYEQZfWVtbU21Wq1rx7t69aru3r3bteMBAICDg6CMvrG2tqYv5b6ma293LyjXbt3Uj/7mdY392se6dkwAAHAwEJTRN2q1mq69XdPp93xAQ8MjXTnmw59WtPHDv9a9+/e7cjwAAHBwEJTRd4aGR3R27KmuHOvmjWtdOQ4AADh4CMoAACByTzzxRK+7AOwbQRkAAETqzJkz+sUvftHrbgD7xvRwAAAAQAiCMgAAABCCoAwAACJ1+/ZtPfvss3r22WdZwhp9jRplAAAQqYcPH+r73/9+cBvoV4woAwAAACEIygAAAEAISi/QlrW1NdVq3VtKWpKuXr2qu3fvdvWYAPrT3Y0NXb16tavHHBoa0vDwcFePCaCzCMpo2dramr6U+5quvd3doFy7dVM/+pvXNfZrH+vqcQH0l43aTb322mv68ktf19Dpoa4d94mzQ/rC3GcJy8AhQlBGy2q1mq69XdPp93xAQ8MjXTvuw59WtPHDv9a9+/e7dkwA/efexh3deTig07/y6xp7x7u6csza2g1d+8kPVKvVCMrAIUJQRtuGhkd0duyprh3v5o1rXTsWgP53ust/o5gErd7QUPdG84FOISgDAIBInTlzRrdu3ep1N4B9Y9YLAAAAIARBGQAAAAhB6cUuyuWySqWSxsfH5XmeJGlubq63ndqGadoAAAfNnTt39PGPf1yS9J//83/WqVOnetwjoD0E5QaKxaKWlpZUKBSCx8rlshKJhEqlUg979g+Ypg0AcBA9ePBAf/qnfxrcBvoVQTmE53manZ3VlStX6h6Px+OyLEv5fF7pdLpHvfsHTNMGAADQOQTlEMvLyzJNU4Zh7HhuZmZGtm0fiKC8sbGhV//f/1sfnPgw07Th0Lt/965+sGTrAzMZPXbyZK+7A3TUxsaGFhYWND8/r8HBwV53B+iog3y+czFfiEKhoNHR0dDnTNOU4zhBzXIv3b17V//fX/0/enDvXq+7AnTcg3t39f1vvaQH96iPx+G3sbGhL37xi9rY2Oh1V4COO8jnO0E5xMrKikzTDH3Of9x13X0d46WXXoq03WH2V//Xt3rdBf3wL/5bR/cf1Wvcz35a3baV9s22PQi/6147CO9BJ/sQ5b7b3Vc727WyDX/fm3cQ3oNO9iGqfe9nP+1s28o2zbQ9CL/ndhGUQ3ieF1p2sRVBuXsuf/s/9boL+lGHg3JUr3E/+2l121baN9v2IPyue+0gvAed7EOU+253X+1s18w2dzc2dPXqVf3bf/tv9bOf/WzPn93a/f3f/70k6e///u/33M/a2lrLr+egOAj/xhGU97fNYQ/K1Ci3yA/Q1Wp1x3Obm5uSpL/927/V+vp68Pjg4OCOmpsHDx7UtWlkt3Y3b96UJK39/O+a6ntU1n7x93r44L7Wrv5tV06gB3fv6tpbV7p+XOkfXuvDe/d17a0re2/QJv81bj9uq691+35a7UMrx23lWLu13XrM3drdvf1ola/rf/uGTp4+09Rxd9OL86mZ4+7nd9juMTvVh7DjRvn6Gu2rE+/xXtt4P/9bveI4+uLXbuvqL67p//jiV/bc527t7t199BX073/l/9SJk7vXbJ47cVyzn/gtnT17ds9jRmlzc1MDAwOhz22dtvR//a//1XA5642NDf3P//k/Izlmu5rpQ7vHbfX1NTrufvbTznvcyjbNtN2rjZ9nmslF7djY2Kgr63j77bcl/UNu283AZjOtjpiBgQHNzc0pm83ueM51XY2Pj4de0Pe///f/1vnz57vVTQAAALTprbfe0rve9a5d2zCi3CL/Ir6wi/3e+c53qlKp6MSJE3WfPMNGlAEAANB520eUNzc3de/ePb3zne/cc1uCcoSOHTvW8CLAXvA8T+VyWZZlqVKp9Lo7QEflcjlJUqVSkeu6sm37QP3/CEQln89LevQ3/vLly8pkMorH4z3uFdB5uVxOsVisq+c7QTmEaZoNL9bza5MP+j/AjuNoZWVFo6Oj+77wEDjoLMvS/Px8cA1BsVjU+Pi4KpXKgf9/FWhFJpNRKpUKgoK/YuyNGzf2vAgd6Geu68qyrK6vjsysFyFisVjDeZL90BmLxbrYo9bFYjGl0+kD308gCuVyue4C22QyKcMwZNt2D3sFRK9arapQKAT3/Q+CKysrveoS0BXlcrknAx8E5RCJRKLhKGylUuErLuAA8TxPruvu+H92dHT0QCwMBESpUCjUfQB0HEeSNDk52asuAR1XLBY1PT3dk2NTehFienpalmXJdd0dn16KxWLobBhR8DxPlmXJMIxdj1Eul1UqlTQ+Ph4Egbm5uY70CeiUqM53wzB048aNHdu5rquJiYnI+w20qpN/223bVjabpewCB0bU57v/XK/OcYJyCMMwtLi4KMuy6r7iKhaLMk1TyWQy0uP5oXxqakrlcnnXEetisailpaW6fvk1at2u2wHa0Y3zPZ/PyzTNHVM4At3UyXM9n8+rVCopkUgwUIIDoVPn+/Lyck//ljOP8i56MXI7MTGhycnJ0NpKz/N04cIFXblyZccnq4mJCWUymR0nkz/vM79mHERRn+9bt1tdXeVCPhwYnTrXmxm5A7otqvPdcRwZhhH8LffXsWDWiwMiHo8fqHrk5eVlmaYZ+vXDzMxM6CIoQL9q93yfnZ3VpUuXCMnoG+2e6/4FqwMDAxobG2NkGX2hlfN9ZWWl57mGi/n6SKFQCF3oRHp05bPjOFy8hEOjnfPdnyaO2V7QT1o51zOZzI4LV03TpPQOfaPZ8z2Xy6lSqSiXywU/1WpVtm0H8+Z3A0G5j6ysrDQcJfMfZ85kHBatnu/FYlGJRKIuJPsLMwAHWbPnuuM4yufzO/7OV6tVLuZD32j2fJ+bm1M2m9Xc3Fzw43meMplMV789ISj3Ec/z9vxjuP0PKCPM6FetnO/lclmXL1/W6OioHMeR4zgqFotd6CWwf82e67FYTHNzc3UlgeVyWZ7nUaOMvtFOluklapQPCf+k8xddcF1XxWIx+DoulUppampK6XSakQf0va3nu+d5SqVSwVd1W/F1NPrd9r/t8/Pzdef55cuXuXAVh8b2891XLpeDGTKy2awcx+naqDJB+ZAyTTP4qgI4zBrNowwcRoZh8HcdR44/uUIvVlul9OKQ8EssGhXIA4cJ5zuOCs51HCUH8XwnKAMAAAAhCMp9xDTNhgXufj0PdWo4LDjfcVRwruMo6bfznaDcR2KxWMNZLPyTjvljcVhwvuOo4FzHUdJv5ztBuY8kEomGn8IqlcqBWkUQ2C/OdxwVnOs4SvrtfCco95Hp6WlVq9XQE6xYLCqTyfSgV0BncL7jqOBcx1HSb+c7QfmA8Txvx/yBPsMwtLi4KMuy6h4vFosyTVPJZLIbXQQiw/mOo4JzHUfJYTrfBzY3Nzd73YmjLpfL6fLly8ESpdKjOQMNw9DMzMyOk6ZcLqtUKml8fDyo82FeTfQLznccFZzrOEoO6/lOUAYAAABCUHoBAAAAhCAoAwAAACEIygAAAEAIgjIAAAAQgqAMAAAAhCAoAwAAACEIygAAAEAIgjIAAAAQgqAMAEdYLpfTwMBA8DMxMdHrLu2bZVl1rymRSPS6SwD6FEEZAI64eDyuSqWiSqWiQqHQ6+7s2/z8fPB6DuKSuAD6B0EZAI44wzBkmmbw0wzHcZRIJDQxMaGRkRFlMpkO97J5W1/P+Ph4r7sDoI8RlAEALTNNU5ZlyTRNeZ6narXa6y4BQOQIygDQJY7jHKiR1/0wDEPxeFyLi4u97goAdAxBGQC6JJVKKZ/Py3GcXnclMoZh9LoLANAxBGUA6ALP8+S6riQpFov1uDcAgGYQlAGgC8rlsiRCMgD0E4IyAHRBqVSS9GgqNgBAfyAoA0AX+CPKLH4BAP2DoAwAHba1PpkRZQDoH4/1ugMAcNi4rquJiQl5nrfjuYGBgeD23NycstlsF3vWPsuy5DhOsIjH9evXlclkml6gpFgs6vLly5IUzLs8Pz8fWrOdyWS0vLy84/ErV67smGVjYmJCjuPIMAx5nqdkMnkoVhcEcDAQlAEgYqZp6saNG8H9TCajfD7fV8HYVy6XlclkZFnWjr5bltXUyneWZSmRSNRt7ziOLl68qOnpadm2Xdfetm3Zth28b7uF39XV1eBDyaVLl7hYEkCkKL0AgA7r1/pkf5lqy7KUTqd3PJ/NZrW6urrrPorFoqampnaUnMRiMS0uLiqfzyufz4du6wfrsJH5rSYnJ1UoFAjJACJHUAaADmq3PjmVSmliYkIDAwMaGRlRIpFQKpUKfhKJRPD8wMBAw7C5H6lUSqZphoZkn2VZu+6jVCppdnY2+LCwVTKZlKQdI8o+wzCUTCZVLpeD97ARQjKATqD0AgA6yK+1bfUivkKhIMdxNDExoXg83rD0wK+HHh0d3Xdft8rlcnJdV3Nzc7u22+u41WpVnufJcZzQ98A0zV1DcCaTUbFYlG3boWUrxWJRqVRq1z4AQLsYUQaADvLnT26n7MIfhZ2ZmWnYxh/xbfaiumb5/Z6amtrXfhYXF1UoFBoGbv8ivEbi8bhM02w4Yr60tMRMIgA6hhFlAOggP+y2E+aaXaRkbGws8qDsj/Jun2WiVX75hL9Pf/YLv797lVRICi4mLBaLwb78bfcb5AFgN4woA0CHuK4bjJa2U0NbLpdlmuaOsLo9XF6/fn3fgbaTisWixsfHlclkFIvFVCgUlM1mlc1mmwr4fo30wsJC3eO2be9aPw0A+0VQBoAOKRaLktobTXYcp+G22y9+m5+fb6N3u/MD7F4zTuwlk8kolUopk8moVCq19V74o9KO4wTvi9+3g/wBAUD/IygDQIf4pRNhF5vtVbPcaEq5YrGosbGxusc6ERb94zZTGtFIuVxWPp9XPB5vWKO8PYg7jhN6TP/DgP8hgYv4AHQDQRkAOmRlZUXSzlHhYrG4Z1D2Q7Zt23XTwaVSqa5cvDY3NyfDMLS0tLRrO/81hvFn6tgt0G4PxVvLVbaKxWJ1F/VxER+AbiAoA0CH+IFvax2u53mybXvPaddWVlZkmqZKpZIKhULwX8MwujZnsD9FXdgcyL5GcyBLClbta1S+USwWd7yWarXacITcn7M5k8lwER+AriAoA0CH+DM0+EHRdV3Nzs42nBPZ5ziOPM/bMWJqmqamp6c70tcw/vzNmUwmNCxnMplg6rpyuRz025dOp2UYhhYWFnaMHPuLiPglFX499+rqasML/PwL9/L5PBfxAegKpocDgA7xQ2YqlZJhGBodHdXi4uKeNcW7LXm9/TG/Bjjq6eF8yWRSsVhMlmXJtm2ZphnUSG9fAMRfyc8vGzEMQ1euXNHCwoJSqZQmJyeD1z41NRWMqtu2rYWFBS0tLYUuKrJVOp3eddQZAKJEUAaADtqtNKGR3eZP3jqPsPRoBLbTo6umae46Cr65udnwOcMwmgq/zb6GiYkJTU5ONtUWAPaL0gsAOGD8+uS9Rk2buSjwsFldXe1ajTYAMKIMAAeIP+vDXrXIruvKsixVKpUu9az3XNfVxMREr7sB4AhhRBkADhC/VGO3kWJ/JDmTyXSrW10XdvFgNpvt6sWMAMCIMgAcAJZl1U3F5l/c5vM8T9VqtW6e4cM684NlWcrlcspms8EFf/5oMhfxAegmgjIAHAB7XfB2lExNTck0zbrp9SzL2nNaPQCIGkEZAHCgJJNJua5bN2PI4uJiD3sE4KgiKAPAEVcsFjUwMCDp0VLRq6urPe6R9ly5cDd+6YaPpa4BtGtgc7cJMAEAh5pf+7xVpxYv6ZbD+JoA9AZBGQAAAAjB9HAAAABACIIyAAAAEIKgDAAAAIQgKAMAAAAhCMoAAABACIIyAAAAEIKgDAAAAIQgKAMAAAAhCMoAAABAiP8f75n0QNOOIzAAAAAASUVORK5CYII=", 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", 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" ] @@ -679,41 +2465,29 @@ } ], "source": [ - "num_samples_pbh = 1000\n", + "bins_m = np.logspace(-9,-3,20)\n", "\n", - "# samples_pbh = sample_crossing_times(t_es_limited, gammas_pbh, num_samples_pbh)\n", - "samples_pbh = sample_crossing_times(t_es_limited, gammas_pbh_point, num_samples_pbh)\n", + "bin_counts_popsycle_m_pre, bin_edges_popsycle_m_pre = np.histogram(pre_event_masses_ffps_flat, bins=bins_m, density=False)\n", + "plt.bar(bin_edges_popsycle_m_pre[:-1], bin_counts_popsycle_m_pre/np.sum(bin_counts_popsycle_m_pre), width=np.diff(bin_edges_popsycle_m_pre), align=\"edge\", edgecolor=\"black\", label=r\"pre-cut\", alpha=0.5,color='gray')\n", "\n", - "# samples_pbh_30 = sample_crossing_times(t_es_limited, gammas_pbh_30, num_samples_pbh)\n", - "\n", - "num_bins = 20\n", - "bin_counts_pbh, bin_edges_pbh = np.histogram(samples_pbh/24, bins=np.logspace(1, 4, num_bins))\n", - "# bin_counts_pbh_30, bin_edges_pbh_30 = np.histogram(samples_pbh_30/24, bins=np.logspace(1, 4, num_bins))\n", - "\n", - "# Plotting the histogram\n", - "plt.bar(bin_edges_pbh[:-1], bin_counts_pbh, width=np.diff(bin_edges_pbh), align=\"edge\", edgecolor=\"black\", label=\"PBH 400 km/s\", alpha=0.5)\n", - "# plt.bar(bin_edges_pbh_30[:-1], bin_counts_pbh_30, width=np.diff(bin_edges_pbh_30), align=\"edge\", edgecolor=\"black\", label=\"PBH 30 km/s\", alpha=0.5)\n", - "\n", - "plt.axvline(s.obs_time/24, color=\"black\", linestyle=\"--\", label=\"Observation Time\")\n", - "# plt.axvline(t_e_typical, color=\"red\", linestyle=\"--\", label=r\"Typical $t_E$\")\n", + "plt.ylim(1e-2, 1e-1)\n", "\n", "plt.xscale('log')\n", - "# plt.yscale('log')\n", - "plt.xlabel(\"$t_E$ [day]\")\n", - "plt.ylabel(\"Count\")\n", - "plt.title(r\"$M_{\\rm{PBH}} = ~$\" + scientific_format(s.pbh.mass))\n", + "plt.yscale('log')\n", + "plt.xlabel(r\"$M$ [M$_\\odot$]\")\n", + "plt.ylabel(\"Normalized Counts\")\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "code", - "execution_count": 49, + "execution_count": 104, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -723,33 +2497,179 @@ } ], "source": [ - "num_samples_pbh = 10000\n", - "samples_pbh = sample_crossing_times(t_es_limited, gammas_pbh_point, num_samples_pbh)\n", - "num_bins = 24\n", - "bin_counts_pbh, bin_edges_pbh = np.histogram(samples_pbh/24, bins=np.logspace(1, 4, num_bins))\n", - "\n", - "plt.bar(bin_edges_pbh[:-1], bin_counts_pbh/np.sum(bin_counts_pbh), width=np.diff(bin_edges_pbh), align=\"edge\", edgecolor=\"black\", label=\"LensCalcPy 400 km/s\", alpha=0.5)\n", - "\n", - "# plt.axvline(s.obs_time/24, color=\"black\", linestyle=\"--\", label=\"Observation Time\")\n", + "bin_counts_popsycle_m, bin_edges_popsycle_m = np.histogram(nick_ffp_masses, bins=bins_m, density=False)\n", + "plt.bar(bin_edges_popsycle_m[:-1], bin_counts_popsycle_m/np.sum(bin_counts_popsycle_m), width=np.diff(bin_edges_popsycle_m), align=\"edge\", edgecolor=\"black\", label=r\"post-cut\", alpha=0.5,color='orange')\n", "\n", + "bin_counts_popsycle_m_pre, bin_edges_popsycle_m_pre = np.histogram(pre_event_masses_ffps, bins=bins_m, density=False)\n", + "plt.bar(bin_edges_popsycle_m_pre[:-1], bin_counts_popsycle_m_pre/np.sum(bin_counts_popsycle_m_pre), width=np.diff(bin_edges_popsycle_m_pre), align=\"edge\", edgecolor=\"black\", label=r\"pre-cut\", alpha=0.5,color='gray')\n", "\n", - "x = [21.39154789826256, 29.2832673143766, 40.84372112156074, 56.37043772527345, 77.79145561997345, \n", - " 106.54379618701142, 146.23929608585925, 205.16629102338942, 274.578895175973, 387.67176368534706, \n", - " 541.6263286087639, 742.7356736774384]\n", - "y = np.array([14.747753500889473, 41.51142635588192, 65.89677507640377, 110.64566893217169, 157.09141084705556, \n", - " 175.71021301829126, 159.37394517173743, 89.41454180540983, 31.33991698216485, 8.890890845231013, \n", - " 6.126670619896885, 4.72266569356384])\n", + "plt.ylim(1e-5, 5e-1)\n", "\n", - "plt.plot(x, y/np.sum(y), '-o', color='blue', label=\"Popsycle\")\n", "plt.xscale('log')\n", - "# plt.yscale('log')\n", - "plt.xlabel(\"$t_E$ [day]\")\n", - "plt.ylabel(\"Count\")\n", - "plt.title(r\"$M_{\\rm{PBH}} = ~$\" + scientific_format(s.pbh.mass))\n", + "plt.yscale('log')\n", + "plt.xlabel(r\"$M$ [M$_\\odot$]\")\n", + "plt.ylabel(\"Normalized Counts\")\n", "plt.legend()\n", "plt.show()" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Scratchwork" + ] + }, + { + "cell_type": "code", + "execution_count": 213, + "metadata": {}, + "outputs": [], + "source": [ + "def calc_sph_motion(vx, vy, vz, r, b, l):\n", + " \"\"\"\n", + " Calculate velocities in the r directions and proper motions\n", + " in l, b directions.\n", + "\n", + " Parameters\n", + " ----------\n", + " vx, vy, vz : float or array\n", + " Heliocentric velocities vx, vy, and vz (in km/s)\n", + "\n", + " r, b, l : float or array\n", + " Galactic coordinates r, b, and l (in kpc and degrees)\n", + "\n", + " Return\n", + " ------\n", + " vr, mu_b, mu_lcosb : float or array (in km/s and mas/yr)\n", + " Radial velocity and proper motions\n", + "\n", + " \"\"\"\n", + " b = np.radians(b)\n", + " l = np.radians(l)\n", + "\n", + " cosb = np.cos(b)\n", + " sinb = np.sin(b)\n", + " cosl = np.cos(l)\n", + " sinl = np.sin(l)\n", + "\n", + " vr = vz * sinb + cosb * (vx * cosl + vy * sinl)\n", + " vb = vz * cosb - sinb * (vx * cosl + vy * sinl)\n", + " vl = vy * cosl - vx * sinl\n", + "\n", + " mu_b = vb / r\n", + " mu_lcosb = vl / r\n", + "\n", + " ##########\n", + " # Convert between radians*(km/s)/kpc into mas/year.\n", + " # 1 kpc = 3.086 * 10^16 km, 1 year = 3.154 * 10^7 s, 2.063 * 10^8 mas = 1 rad\n", + " # 1 radian*(km/s)/kpc = 0.2108 mas/yr\n", + " #########\n", + " conversion_fact = 0.2108\n", + " mu_b = mu_b * conversion_fact\n", + " mu_lcosb = mu_lcosb * conversion_fact\n", + "\n", + " return vr, mu_b, mu_lcosb\n", + "\n", + "# Function to convert spherical velocities to Cartesian velocities\n", + "def sph_to_cartesian(v_sph, pos):\n", + " r_dot, b_dot, l_dot = v_sph\n", + " r, b, l = pos\n", + " l = np.radians(l)\n", + " b = np.radians(b)\n", + " vx = r_dot*np.cos(b)*np.cos(l) - r*b_dot*np.sin(b)*np.cos(l) - r*l_dot*np.cos(b)*np.sin(l)\n", + " vy = r_dot*np.cos(b)*np.sin(l) - r*b_dot*np.sin(b)*np.sin(l) + r*l_dot*np.cos(b)*np.cos(l)\n", + " vz = r_dot*np.sin(b) + r*b_dot*np.cos(b)\n", + " return [vx, vy, vz]" + ] + }, + { + "cell_type": "code", + "execution_count": 214, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Einstein time: 0.011923784044031301\n", + "Full transit time: 0.054253265261650085\n" + ] + } + ], + "source": [ + "starPos1 = [7.78257417678833, -0.018601227301875935, 0.016396739533508602]\n", + "starPos2 = [7.782573762098301, -0.018601124163779216, 0.016396434296014145]\n", + "pbhPos1 = [7.276314604254684, -0.018601284224945756, 0.01639681167636597]\n", + "pbhPos2 = [7.276313346359349, -0.018601393966005075, 0.01639677623181188]\n", + "\n", + "pbhMass = 3e-6\n", + "duration = 1825 * 24 * 3600 #in seconds\n", + "theta_E = 2.26363e-12 #in radians\n", + "full_transit_time = (0.23261582851409912 - 0.2325861006975174) *duration\n", + "kpc_to_km = 3.086e16 # kpc to km\n", + "mas_to_rad = 4.84814e-9 # mas to rad\n", + "day_to_s = 86400 # day to seconds\n", + "year_to_s = 31536000 # year to seconds\n", + "\n", + "starPos1[0] *= kpc_to_km\n", + "pbhPos1[0] *= kpc_to_km\n", + "starPos2[0] *= kpc_to_km\n", + "pbhPos2[0] *= kpc_to_km\n", + "\n", + "v_star_sph = [(starPos2[i] - starPos1[i])/duration for i in range(3)]\n", + "v_pbh_sph = [(pbhPos2[i] - pbhPos1[i])/duration for i in range(3)]\n", + "\n", + "# Convert the spherical velocities to Cartesian velocities\n", + "v_star = sph_to_cartesian(v_star_sph, starPos1)\n", + "v_pbh = sph_to_cartesian(v_pbh_sph, pbhPos1)\n", + "\n", + "starPos1[0] /= kpc_to_km \n", + "pbhPos1[0] /= kpc_to_km \n", + "starPos2[0] /= kpc_to_km \n", + "pbhPos2[0] /= kpc_to_km \n", + "\n", + "# # Calculate the radial velocity and proper motions using the function\n", + "vr_star, mu_b_star, mu_lcosb_star = calc_sph_motion(v_star[0], v_star[1], v_star[2], starPos1[0], np.degrees(starPos1[1]), np.degrees(starPos1[2]))\n", + "vr_pbh, mu_b_pbh, mu_lcosb_pbh = calc_sph_motion(v_pbh[0], v_pbh[1], v_pbh[2], pbhPos1[0], np.degrees(pbhPos1[1]), np.degrees(pbhPos1[2]))\n", + "\n", + "mu_b_star *= mas_to_rad / year_to_s\n", + "mu_b_pbh *= mas_to_rad / year_to_s\n", + "mu_lcosb_star *= mas_to_rad / year_to_s\n", + "mu_lcosb_pbh *= mas_to_rad / year_to_s\n", + "\n", + "# Calculate the relative proper motions\n", + "mu_b_rel = mu_b_star - mu_b_pbh\n", + "mu_lcosb_rel = mu_lcosb_star - mu_lcosb_pbh\n", + "\n", + "# Calculate the total relative proper motion and the Einstein time\n", + "v_rel = np.sqrt(mu_b_rel**2 + mu_lcosb_rel**2)\n", + "t_E = theta_E / v_rel\n", + "\n", + "print(\"Einstein time:\", t_E / day_to_s)\n", + "print(\"Full transit time:\", full_transit_time / day_to_s)" + ] + }, + { + "cell_type": "code", + "execution_count": 215, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "2.279924455200288e-12" + ] + }, + "execution_count": 215, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "einstein_rad(7.276, 3e-6, 7.78257)/7.276" + ] + }, { "cell_type": "code", "execution_count": null, diff --git a/examples/roman_figures.ipynb b/examples/roman_figures.ipynb new file mode 100644 index 0000000..fa90e35 --- /dev/null +++ b/examples/roman_figures.ipynb @@ -0,0 +1,2312 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "from LensCalcPy.survey import *\n", + "from LensCalcPy.ffp import *\n", + "from LensCalcPy.utils import *\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "import pandas as pd\n", + "from scipy.interpolate import interp1d, interp2d\n", + "from scipy.interpolate import RegularGridInterpolator\n", + "\n", + "from scipy.integrate import quad, nquad\n", + "from scipy import stats\n", + "\n", + "from tqdm import tqdm\n", + "from pathos.multiprocessing import ProcessingPool as Pool\n", + "import functools\n", + "from scipy.stats import poisson\n", + "import seaborn as sns\n", + "import pickle\n", + "sns.set_palette(\"colorblind\")\n", + "\n", + "%load_ext autoreload\n", + "%autoreload 2" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "bh kick speed = 100\n", + "3e-7 pbh mass\n", + "f = 1e-4\n", + "long = 1.0\n", + "lat = -1.03\n", + "distribution of t_es\n", + "cadence =\n", + "tobs = 1875" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "plt.style.use(\"style.mplstyle\")\n", + "sns.set_palette(\"colorblind\")" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "roman_df = pd.read_csv('roman_sensitivity.csv', header=None, names=['t_e [days]', 'efficiency'])\n", + "roman_efficiency_interp = interp1d(roman_df['t_e [days]'], roman_df['efficiency'])\n", + "def roman_efficiency(t):\n", + " '''\n", + " Takes in crossing time in hours and returns the efficiency of Roman\n", + " '''\n", + " t_day = t/24\n", + " if t_day <= np.min(roman_df['t_e [days]']):\n", + " return roman_df['efficiency'][0]\n", + " if t_day >= np.max(roman_df['t_e [days]']):\n", + " return roman_df['efficiency'][len(roman_df)-1]\n", + " return(roman_efficiency_interp(t_day))" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "# def roman_efficiency(t):\n", + "# '''\n", + "# Takes in crossing time in hours and returns the efficiency of Roman\n", + "# #Need to replace this eventually. Assume perfect efficiency for now\n", + "# '''\n", + "# return 1.0\n" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "#A_t of 1.06 corresponds to u_t_point of ~2, which is what popsycle uses as u_0_max\n", + "survey_param_dict = {\n", + " \"mock_roman\": {\"l\": 1.0, \"b\": -1.03, \"source_dist\": 8.5, \"obs_time\": 1825*24, \"cadence\": 15/60, \"n_sources\": 1e7, \"efficiency\": roman_efficiency, \"A_t\": 1.06, \"survey_area\":0},\n", + " # \"mock_roman\": {\"l\": 1.0, \"b\": -1.03, \"source_dist\": 8.5, \"obs_time\": 1825*24, \"cadence\": 15/60, \"n_sources\": 1e7, \"efficiency\": roman_efficiency, \"A_t\": 1.34, \"survey_area\":0},\n", + "\n", + "}" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "def scientific_format(x):\n", + " s = \"%.1e\" % x\n", + " mantissa, exponent = s.split(\"e\")\n", + " return r\"${} \\times 10^{{{}}}$\".format(mantissa, int(exponent))\n", + "\n", + "def scientific_format_less(x):\n", + " s = \"%.1e\" % x\n", + " mantissa, exponent = s.split(\"e\")\n", + " return r\"$10^{{{}}}$\".format(int(exponent))" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "# Define Time Array\n", + "s = Survey(**survey_param_dict[\"mock_roman\"])\n", + "# t_es = np.logspace(np.log10(s.cadence)-0.5, np.log10(s.obs_time)+0.5, 60) #hours\n", + "\n", + "def gamma_of_t(dgamma_dt, t, t_es):\n", + " t_min = t * 10**(-0.1)\n", + " t_max = t * 10**(0.1)\n", + " diff_rates_interp_log = interp1d(np.log10(t_es), np.log10(dgamma_dt))\n", + " def diff_rates_interp(t):\n", + " return 10**diff_rates_interp_log(np.log10(t))\n", + " return quad(diff_rates_interp, t_min, t_max)[0]\n", + "\n", + "def sample_crossing_times(t_es, gammas, n_samples):\n", + " norm_gammas = gammas/np.sum(gammas)\n", + " cdf = np.cumsum(norm_gammas)\n", + " \n", + " samples = []\n", + " for _ in range(n_samples):\n", + " r = np.random.rand()\n", + " t_e_sample = np.interp(r, cdf, t_es)\n", + " samples.append(t_e_sample)\n", + " return np.array(samples)" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Survey(l=1.0, b=-1.03, source_dist=8.5, obs_time=43800, cadence = 0.25, survey_area=0, n_sources=10000000.0, efficiency=)" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "s" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Line of Sight" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [], + "source": [ + "def plot_line_of_sight(s, ax):\n", + " d_arr = np.linspace(1, s.source_dist, num=1000)\n", + "\n", + " rho_ffp_mw = [s.mw_model.density_stars(d, l = s.l, b = s.b) for d in d_arr]\n", + " rho_dm_mw = [s.mw_model.density_dm(d, l = s.l, b = s.b) for d in d_arr]\n", + " ax.plot(d_arr, rho_ffp_mw, label=\"MW UBOs\")\n", + " ax.plot(d_arr, rho_dm_mw, label=\"MW DM\", linestyle=\"--\", color=\"C0\")\n", + "\n", + " ax.set_xlabel(r\"$d$ [kpc]\", fontsize=16)\n", + " ax.set_ylabel(r\"$\\rho$ [M$_\\odot$/$\\mathrm{kpc}^3$]\", fontsize=16)\n", + " ax.set_title(r'MW Survey - LoS: l = ${:.2f}^\\circ$, b = ${:.2f}^\\circ$'.format(s.l, s.b), fontsize=16)\n", + "\n", + " ax.legend(fontsize=14)\n", + "\n", + " ax.set_yscale(\"log\")\n", + " ax.set_xlim(1e0, s.source_dist)\n", + " ax.set_ylim(1e5, 1e10)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_line_of_sight(s, plt.gca())" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [], + "source": [ + "# Initialize an empty dictionary\n", + "data_structure = {\n", + " \"ffp\": {},\n", + " \"pbh\": {}\n", + "}\n", + "\n", + "def store_values(case, finite, v_disp, p=None, mass=None, t_es=None, calculated_values=None):\n", + " if case not in data_structure:\n", + " raise ValueError(\"Invalid case. Valid cases are 'ffp' and 'pbh'.\")\n", + "\n", + " if finite not in data_structure[case]:\n", + " data_structure[case][finite] = {}\n", + "\n", + " if v_disp not in data_structure[case][finite]:\n", + " data_structure[case][finite][v_disp] = {}\n", + "\n", + " if case == \"ffp\":\n", + " if p is not None:\n", + " data_structure[case][finite][v_disp][p] = {\n", + " \"t_es\": t_es,\n", + " \"calculated_values\": calculated_values\n", + " }\n", + " else:\n", + " raise ValueError(\"Parameter 'p' is required for case 'ffp'.\")\n", + " elif case == \"pbh\":\n", + " if mass is not None:\n", + " data_structure[case][finite][v_disp][mass] = {\n", + " \"t_es\": t_es,\n", + " \"calculated_values\": calculated_values\n", + " }\n", + " else:\n", + " raise ValueError(\"Parameter 'mass' is required for case 'pbh'.\")\n" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + " 0%| | 0/60 [00:00" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_data_structure(data_structure)" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_60760/3285702519.py:8: RuntimeWarning: divide by zero encountered in log10\n", + " diff_rates_interp_log = interp1d(np.log10(t_es), np.log10(dgamma_dt))\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_gammas(data_structure)" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [], + "source": [ + "def create_gamma_interp_ffp(data_structure):\n", + " t_values = []\n", + " p_values = []\n", + " gamma_values = []\n", + " dgammadt_values = []\n", + "\n", + " for idx, (entity, entity_data) in enumerate(data_structure.items()):\n", + " if entity != \"ffp\":\n", + " continue\n", + " for finite_val, finite_data in entity_data.items():\n", + " for v_disp, v_disp_data in finite_data.items():\n", + " for p_or_mass, p_or_mass_data in v_disp_data.items():\n", + " # if p_or_mass != 1.0:\n", + " # continue\n", + " # Calculate gamma(t) for each case\n", + " t_es_limited = np.logspace(np.log10(np.min(p_or_mass_data['t_es']))+0.1, np.log10(np.max(p_or_mass_data['t_es']))-0.1, 60)\n", + " gammas = np.array([gamma_of_t(p_or_mass_data['calculated_values'], t, t_es=p_or_mass_data['t_es']) for t in t_es_limited])\n", + " t_values.extend(p_or_mass_data['t_es'])\n", + "\n", + " p_values.extend([p_or_mass] * len(t_es_limited))\n", + " gamma_values.extend(gammas)\n", + " dgammadt_values.extend(p_or_mass_data['calculated_values'])\n", + "\n", + " # Evaluate the gamma values at the points in the grid\n", + " gamma_values_grid = np.array(gamma_values).reshape(len(p_arr), (len(t_es_limited)))\n", + " dgammadt_values_grid = np.array(dgammadt_values).reshape(len(p_arr), (len(np.unique(t_values))))\n", + "\n", + " # Create an interpolating function\n", + " gamma_interpolating_function = RegularGridInterpolator((p_arr, t_es_limited), gamma_values_grid, method='linear')\n", + " dgammadt_interpolating_function = RegularGridInterpolator((p_arr, np.unique(t_values)), dgammadt_values_grid, method='linear')\n", + " dgammadt_interpolating_function = RegularGridInterpolator((np.log10(p_arr), np.log10(np.unique(t_values))), np.log10(dgammadt_values_grid), method='linear')\n", + "\n", + "\n", + " return dgammadt_interpolating_function, gamma_interpolating_function\n", + "\n", + "def create_gamma_interp_pbh(data_structure):\n", + " t_values = []\n", + " m_values = []\n", + " gamma_values = []\n", + " dgammadt_values = []\n", + "\n", + " for idx, (entity, entity_data) in enumerate(data_structure.items()):\n", + " if entity != \"pbh\":\n", + " continue\n", + " for finite_val, finite_data in entity_data.items():\n", + " for v_disp, v_disp_data in finite_data.items():\n", + " for p_or_mass, p_or_mass_data in v_disp_data.items():\n", + "\n", + " t_es_limited = np.logspace(np.log10(np.min(p_or_mass_data['t_es']))+0.1, np.log10(np.max(p_or_mass_data['t_es']))-0.1, 60)\n", + " gammas = np.array([gamma_of_t(p_or_mass_data['calculated_values'], t, t_es=p_or_mass_data['t_es']) for t in t_es_limited])\n", + " t_values.extend(p_or_mass_data['t_es'])\n", + " m_values.extend([p_or_mass] * len(np.unique(t_values)))\n", + " gamma_values.extend(gammas)\n", + " dgammadt_values.extend(p_or_mass_data['calculated_values'])\n", + " \n", + "\n", + " # Evaluate the gamma values at the points in the grid\n", + " # gamma_values_grid = np.array(gamma_values).reshape(len(pbh_masses), (len(t_es_limited)))\n", + " dgammadt_values_grid = np.array(dgammadt_values).reshape(len(pbh_masses), (len(np.unique(t_values))))\n", + " # Create an interpolating function\n", + " # gamma_interpolating_function = RegularGridInterpolator((pbh_masses, t_es_limited), gamma_values_grid, method='linear')\n", + " \n", + " # dgammadt_interpolating_function = RegularGridInterpolator((pbh_masses, np.unique(t_values)), dgammadt_values_grid, method='linear')\n", + " dgammadt_interpolating_function = RegularGridInterpolator((np.log10(pbh_masses), np.log10(np.unique(t_values))), np.log10(dgammadt_values_grid), method='linear')\n", + "\n", + " # return gamma_interpolating_function\n", + " return dgammadt_interpolating_function\n" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [], + "source": [ + "# dgammadt_func_pbh_finite = create_gamma_interp_pbh(data_structure)\n", + "# pickle.dump(dgammadt_func_pbh_finite, open(\"interps/dgammadt_func_pbh_finite.p\", \"wb\"))\n", + "dgammadt_func_pbh_finite = pickle.load(open(\"interps/dgammadt_func_pbh_finite.p\", \"rb\"))" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [], + "source": [ + "# gamma_func_pbh_finite = create_gamma_interp_pbh(data_structure)\n", + "# pickle.dump(gamma_func_pbh_finite, open(\"interps/gamma_func_pbh_finite.p\", \"wb\"))\n", + "# gamma_func_pbh_point = create_gamma_interp_pbh(data_structure)\n", + "# pickle.dump(gamma_func_pbh_point, open(\"interps/gamma_func_pbh_point.p\", \"wb\"))\n", + "gamma_func_pbh = pickle.load(open(\"interps/gamma_func_pbh_point.p\", \"rb\"))\n", + "gamma_func_pbh_finite = pickle.load(open(\"interps/gamma_func_pbh_finite.p\", \"rb\"))\n" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 20, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "t_es_extended = np.logspace(-1.9, 4.5, 100) #hours\n", + "m_arr_extended = np.logspace(-12, np.log10(30), 3)\n", + "\n", + "for m in m_arr_extended:\n", + " plt.plot(t_es_extended, np.array([gamma_func_pbh([[m, t]]) for t in t_es_extended]).flatten(), label=f\"m={m:.1e}\")\n", + " plt.plot(t_es_extended, np.array([gamma_func_pbh_finite([[m, t]]) for t in t_es_extended]).flatten(), label=f\"m={m:.1e} (finite)\", ls=\"--\")\n", + "\n", + "plt.xlabel(r'$t_E$ [hours]')\n", + "plt.ylabel(r'$\\Gamma(t)$')\n", + "plt.ylim(1e-14, 1e-3)\n", + "plt.xscale(\"log\")\n", + "plt.yscale(\"log\")\n", + "plt.legend()" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_60760/3285702519.py:8: RuntimeWarning: divide by zero encountered in log10\n", + " diff_rates_interp_log = interp1d(np.log10(t_es), np.log10(dgamma_dt))\n", + "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_60760/2036986455.py:31: RuntimeWarning: divide by zero encountered in log10\n", + " dgammadt_interpolating_function = RegularGridInterpolator((np.log10(p_arr), np.log10(np.unique(t_values))), np.log10(dgammadt_values_grid), method='linear')\n" + ] + } + ], + "source": [ + "dgammadt_func_ffp_finite, gamma_func_ffp_finite = create_gamma_interp_ffp(data_structure)" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [], + "source": [ + "# dgammadt_func_ffp_finite = create_gamma_interp_ffp(data_structure)\n", + "# pickle.dump(dgammadt_func_ffp_finite, open(\"interps/dgammadt_func_ffp_finite.p\", \"wb\"))\n", + "# dgammadt_func_ffp_finite = pickle.load(open(\"interps/dgammadt_func_ffp_finite.p\", \"rb\"))" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [], + "source": [ + "# gamma_func = create_gamma_interp_ffp(data_structure)\n", + "# gamma_func_ffp_finite = create_gamma_interp_ffp(data_structure)\n", + "# pickle.dump(gamma_func_ffp_finite, open(\"interps/gamma_func_ffp_finite.p\", \"wb\"))\n", + "# gamma_func_ffp_point = create_gamma_interp_ffp(data_structure)\n", + "# pickle.dump(gamma_func_ffp_point, open(\"interps/gamma_func_ffp_point.p\", \"wb\"))\n", + "gamma_func_ffp = pickle.load(open(\"interps/gamma_func_ffp_point.p\", \"rb\"))\n", + "gamma_func_ffp_finite = pickle.load(open(\"interps/gamma_func_ffp_finite.p\", \"rb\"))\n" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [], + "source": [ + "def sample_t_es(p, t_es, gamma_func, n_samples=1000):\n", + " pmin = min(gamma_func.grid[0])\n", + " pmax = max(gamma_func.grid[0])\n", + " tmin = min(gamma_func.grid[1])\n", + " tmax = max(gamma_func.grid[1])\n", + " if p < pmin or p > pmax:\n", + " raise ValueError(f\"p = {p} is outside of the range of p values in the interpolating function: {pmin} to {pmax}\")\n", + " if min(t_es) < tmin:\n", + " raise ValueError(f\"t_e = {min(t_es)} is outside of the range of t_e values in the interpolating function: {tmin} to {tmax}\")\n", + " if max(t_es) > tmax:\n", + " raise ValueError(f\"t_e = {max(t_es)} is outside of the range of t_e values in the interpolating function: {tmin} to {tmax}\")\n", + " \n", + " gammas = np.array([gamma_func([[p, t]]) for t in t_es])\n", + "\n", + " samples = sample_crossing_times(t_es, gammas, n_samples)\n", + " return samples\n", + " " + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "ename": "NameError", + "evalue": "name 'gamma_func_ffp' is not defined", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_60760/3427913448.py\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0mts_sample\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mlogspace\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1.9\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;36m3\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;36m100\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 2\u001b[0;31m \u001b[0msampled_t_es\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0msample_t_es\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m1.0\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mts_sample\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mgamma_func_ffp\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mn_samples\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m1000\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", + "\u001b[0;31mNameError\u001b[0m: name 'gamma_func_ffp' is not defined" + ] + } + ], + "source": [ + "ts_sample = np.logspace(-1.9, 3, 100)\n", + "sampled_t_es = sample_t_es(1.0, ts_sample, gamma_func_ffp, n_samples=1000)" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Create a 1x2 grid of subplots (1 row, 2 columns)\n", + "fig, axes = plt.subplots(2, 1, figsize=(8, 6))\n", + "colors = sns.color_palette(\"colorblind\", len(p_arr))\n", + "bins = np.logspace(-2.9, 3.4, 20)\n", + "\n", + "\n", + "# Loop through each value of p\n", + "for i, p in enumerate(p_arr):\n", + " sampled_t_es = sample_t_es(p, ts_sample, gamma_func_ffp, n_samples=1000)\n", + " sampled_t_es_finite = sample_t_es(p, ts_sample, gamma_func_ffp_finite, n_samples=1000)\n", + "\n", + " bin_counts, bin_edges = np.histogram(sampled_t_es, bins=bins)\n", + " bin_counts_finite, bin_edges_finite = np.histogram(sampled_t_es_finite, bins=bins)\n", + " color = colors[i]\n", + "\n", + " # Point case on the first subplot\n", + " axes[0].bar(bin_edges[:-1], bin_counts/np.sum(bin_counts), width=np.diff(bin_edges), align=\"edge\", edgecolor=\"black\", label=f'Point, p = {p}', alpha=0.5, color=color)\n", + " axes[0].axvline(np.median(sampled_t_es), linestyle=\"--\", alpha=0.5, color=color)\n", + " axes[0].axvline(s.cadence, linestyle=\"--\", alpha=0.5, color='k')\n", + " axes[0].axvline(s.obs_time, linestyle=\"--\", alpha=0.5, color='k')\n", + "\n", + " # Finite case on the second subplot\n", + " axes[1].bar(bin_edges_finite[:-1], bin_counts_finite/np.sum(bin_counts_finite), width=np.diff(bin_edges_finite), align=\"edge\", edgecolor=\"black\", label=f'Finite, p = {p}', alpha=0.5, color=color, hatch=\"///\")\n", + " axes[1].axvline(np.median(sampled_t_es_finite), linestyle=\"--\", alpha=0.5, color=color)\n", + " axes[1].axvline(s.cadence, linestyle=\"--\", alpha=0.5, color='k')\n", + " axes[1].axvline(s.obs_time, linestyle=\"--\", alpha=0.5, color='k')\n", + "\n", + "# Set log scale and legend for both subplots\n", + "for ax in axes:\n", + " ax.set_xscale(\"log\")\n", + " ax.legend()\n", + " ax.set_xlabel(r\"$t$ [hours]\")\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 85, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "640.9180527732299" + ] + }, + "execution_count": 85, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "#From table 2\n", + "(0.24)* (0.1/95)**(-0.73) * 17.9" + ] + }, + { + "cell_type": "code", + "execution_count": 86, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "234.58989682260176" + ] + }, + "execution_count": 86, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "(0.24)* (0.01/95)**(-0.73) * 1.22\n" + ] + }, + { + "cell_type": "code", + "execution_count": 89, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "1114" + ] + }, + "execution_count": 89, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "249+865" + ] + }, + { + "cell_type": "code", + "execution_count": 88, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "864.8079495958316" + ] + }, + "execution_count": 88, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "640.9180527732299 + 234.58989682260176 - 10 -0.7" + ] + }, + { + "cell_type": "code", + "execution_count": 80, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.6667291964938795" + ] + }, + "execution_count": 80, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "(95**(0.73) * 0.24)/10" + ] + }, + { + "cell_type": "code", + "execution_count": 78, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "207.12677007778646" + ] + }, + "execution_count": 78, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "def gamma_wrapper(t):\n", + " return dgammadt_func_ffp_finite([[0.73, t]]) * s.efficiency(t)\n", + "# quad(gamma_wrapper, 0.25, 1825*24)[0] * s.n_sources * s.obs_time \n", + "quad(gamma_wrapper, 0.25, 1825*24)[0] * 1e8 * 6*72*24 * 0.667\n" + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "metadata": {}, + "outputs": [], + "source": [ + "def yield_ffp(p):\n", + " def gamma_wrapper(t):\n", + " return 10**(dgammadt_func_ffp_finite([[np.log10(p), np.log10(t)]])) * s.efficiency(t)\n", + " return quad(gamma_wrapper, 0.25, 1825*24, epsabs=0, epsrel=1e-1)[0] * s.n_sources * s.obs_time \n", + "\n", + "def yield_pbh(m):\n", + " def gamma_wrapper(t):\n", + " return 10**(dgammadt_func_pbh_finite([[np.log10(m), np.log10(t)]])) * s.efficiency(t)\n", + " return quad(gamma_wrapper, 0.25, 1825*24, epsabs=0, epsrel=1e-1)[0] * s.n_sources * s.obs_time " + ] + }, + { + "cell_type": "code", + "execution_count": 89, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "207.9191489109249" + ] + }, + "execution_count": 89, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "yield_ffp(0.73)*0.667" + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_41330/2979419074.py:9: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", + " return quad(gamma_wrapper, 0.25, 1825*24, epsabs=0, epsrel=1e-1)[0] * s.n_sources * s.obs_time\n" + ] + }, + { + "data": { + "text/plain": [ + "45643.36779643568" + ] + }, + "execution_count": 49, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "yield_pbh(1e-4)" + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 50, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "t_arr_extedned = np.logspace(-1.9, 4.5, 1000) #hours\n", + "dgamma_values = np.array([10**(dgammadt_func_pbh_finite([[np.log10(1e-5), np.log10(t)]])) * s.efficiency(t) for t in t_arr_extedned])\n", + "plt.loglog(t_arr_extedned, dgamma_values)" + ] + }, + { + "cell_type": "code", + "execution_count": 70, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_41330/2979419074.py:9: IntegrationWarning: The algorithm does not converge. Roundoff error is detected\n", + " in the extrapolation table. It is assumed that the requested tolerance\n", + " cannot be achieved, and that the returned result (if full_output = 1) is \n", + " the best which can be obtained.\n", + " return quad(gamma_wrapper, 0.25, 1825*24, epsabs=0, epsrel=1e-1)[0] * s.n_sources * s.obs_time\n", + "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_41330/2979419074.py:9: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", + " return quad(gamma_wrapper, 0.25, 1825*24, epsabs=0, epsrel=1e-1)[0] * s.n_sources * s.obs_time\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "mass_arr = np.logspace(-12, 2, 50)\n", + "yield_pbh_arr = np.array([yield_pbh(m) for m in mass_arr])\n", + "plt.loglog(mass_arr, 4.74/yield_pbh_arr, label=\"PBH\")\n", + "plt.fill_between(mass_arr, 4.74/yield_pbh_arr, 1, alpha=0.5)\n", + "plt.ylim(1e-6, 1)\n", + "plt.xlabel(r\"$M_{PBH}$ [M$_\\odot$]\")\n", + "plt.ylabel(r\"$f_{\\rm{PBH}}$\")\n", + "plt.title('Projected Roman PBH Limits')\n", + "plt.show()\n" + ] + }, + { + "cell_type": "code", + "execution_count": 91, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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F2GznDKC07J3kvbvKpdxiZSeZkAwAZSmrneSRkZFNd1rXGxsbSynHWMt+PhaLuWZsLuMBlM6NMrmS2mb3Sp6YntH9la4cAIDykVVIjkQiybA4PDys4eFhjY6OKhAIJLtA2DLZcbUDpxvG5jI+nUQikfI1Nze35XgAmbF7JJfLwb19OxvU3FAry5LenmI3GQCcMDc3tyGbZSqrcotYLCa/36/h4eGUlmixWExdXV26ePFiRrvM9ph4PF4WY7MZ39HRkfL44x//uD7xiU9k9D0AbK7cdpI9Ho98u3fo1Xdua3zynh7Zu9PpKQFA1RkcHNSv//qv5/TenLpb9Pb2pjzn8/nU3d2t06dP5zSJSjIxMaHp6enk18DAgNNTAirC6m175bGTLFGXDABOGxgYSMllExMTGb83pz7J6ep2u7q61N/fn1HJgl2asdkhObeNzWZ8S0uLWlpaMvpMAJkrt51kSTq6Upcci9MrGQCc4PV65fXm9nMj653k7Q62jY2N5TQRANjM0pKlm3fLq0+ytLqTTBs4ACg/WYXkTDpb2AfbfD7fpofc7LpeO1i7YWwu4wGUxtTMvBaXLEnSnjI5uCet9krmQhEAKD9ZhWS/379td4djx44lx67veGGzP8Pv97tmbC7jAZSGXWphNNWroS7rPwBzTDIkT96TZVkOzwYAkI2sftqcOnVK0Wg07Wtrd5Cl5Rv4NgvU4+Pj6u7uTj52w9hcxgMojdV65PLZRZakh9qWQ/LtuQVN3rvv8GwAANnIKiT39vbKMAyFQqENrwWDQfX19SXLMU6ePKl4PJ42dIZCoZQrrN0wNpfxAEpjtbNF+dQjS1Jjfa0OtTZKosMFAJSbrP/cMhgMbrg8ZHR0VLFYTENDQ8nnDMPQ2bNnFQgEUt4fCoXk8/lS2si5YWwu4wGUxo0ybP9mow0cAJSnrFvAdXd3a2RkRKdPn1Z7e7vi8bh8Pp/Gx8c3jLV3ngOBgDo7O5PBOhwOu3JsLuMBFJ9dbrGnubx2kqXluuS/uhTn8B4AlBmPxWmSgkgkEmptbdX09DR9koEC+6U/+ro++aW39c+6H9E//8hjTk8nK//8z7+tT/z5t/QPnu3Q7558n9PTAYCqlk1eK59j4gCqVrnWJEtS5x56JQNAOSIkA3C9m3fL77Y9GzXJAFCeCMkAXK+sD+6tXE09MT2j+wtLDs8GAJApQjIA17MP7u0tw53kfTsbtKO+VpYlvT3FbjIAlAtCMgBXm19cUvzevKTy3En2eDxcTw0AZYiQDMDVbt1dLrWo8UjtO8ovJEup11MDAMoDIRmAq9mdLfY0N6i2xuPwbHJzlMN7AFB2CMkAXM2uRy7HzhY2+/Depfhdh2cCAMgUIRmAqyUP7TWXZ6mFRBs4AChHhGQArpZs/7arnHeSVw/ucckpAJQHQjIAVyvn9m+2h1Z2khOzC5q8d9/h2QAAMkFIBuBq5XyRiK2pvlYHWxolUXIBAOWCkAzA1W6V8ZXUa9EGDgDKCyEZgKvZO8nlfHBPkjq5UAQAygohGYCrVUILOEk62r7cBo6dZAAoD4RkAK62GpLLeyfZLre4NEmvZAAoB4RkAK41M7+oO3OLksp/J9lHuQUAlBVCMgDXurmyi9xQW6OWxjqHZ5Mf+0KRCXNG9xeWHJ4NAGA7hGQArpU8tLezQR6Px+HZ5Gf/Lq+a6mu0ZEmXzRmnpwMA2AYhGYBrVUo9siR5PB75kof3qEsGALcjJANwrdWLRMq7Htlm1yWP0+ECAFyPkAzAtSql/ZvtKBeKAEDZICQDcK2ba2qSK4F9eO9SnHILAHA7QjIA17K7W+xtroydZN9uLhQBgHJBSAbgWpV0cE9a3UmOxe/JsiyHZwMA2AohGYBrVdrBPbsmOTG7oPi9eYdnAwDYCiEZgGtV2sG9pvpaHWxplETJBQC4HSEZgCtZlqWbd+2d5Moot5DWXk/N4T0AcDNCMgBXuj23oLmV65srpbuFtKYumZ1kAHA1QjIAV7LrkZsbarWjoc7h2RROsldynJAMAG5GSAbgSpVWj2yzyy0usZMMAK5GSAbgSpXW/s3ma1/ulTw+SU0yALgZIRmAK1Va+zebvZM8Yc7o/krNNQDAfQjJAFzJvm1vT4XtJB/Y5VVjXY2WLOmyOeP0dAAAmyAkA3ClSt1J9ng8q23gKLkAANciJANwpZsVWpMsrdYl0wYOANyLkAzAlSp1J1miDRwAlANCMgBXqtQWcBJt4ACgHGTVof/EiRNqb29Xf3+//H6/TNPU2NiYRkZGNDAwIL/fnzI+EokoHA6rs7NTpmlKks6cOZP2s90wNpfxAIqjEq+ktnXuXim34GpqAHCtrEKyaZoKhUIaHR1NPmcYhoLB4IaAHAqFdO7cOQWDweRzkUhEPT09CofDrhuby3gAxbG0ZCVrkvc2V+BO8srV1OOT92RZljwej8MzAgCs57Esy8p0cCAQUE9Pj6LRqCTJ5/Opt7d3wzjTNHX06FFdunRJhmGkvNbV1aX+/n719fW5Zmwu49dLJBJqbW3V9PS0WlpaNh0HYHu37s5p38f/XJI0+69/QA11lVUZdu/+gnb+0/8pSbr1z/8Xte+ovN1yAHCjbPJa1j95uru7debMGZ05cyZtQJak8+fPy+fzbQibknTq1CmNjIy4amwu4wEUz43by6UWbU31FReQJWlHQ50eaFneIR+/RV0yALhRUX76BINBtbe3p33N5/MpGo0m633dMDaX8QCKp1KvpF7LLrmgLhkA3KkoIXlsbEw+ny/ta/bzsVjMNWNzGQ+geFYP7VVePbLNt5teyQDgZlmH5FgsptHR0eRXIBDYsMNqmmbasoX1n+OWsbmMB1A8795eObRXwTvJR9vplQwAbpZVd4tYLKZoNJpygC0ajaqrq0sXL17cNmRKSo6Jx+NlMTbb8YlEIuWx1+uV11u5u2FAMbw9tRwcj7TtcHgmxUOvZAAovrm5Oc3NzSUfr89pW8lqJzkYDG44rOf3++X3+3X69OlsPqpidXR0qLW1Nfk1ODjo9JSAsvPWyu7qQ21NDs+keOyQHJukJhkAimVwcDAll3V0dGT83qx2kjfT09Oj/v7+jMbapRmbHZJz29hsx09MTKS0FGEXGcjeW/EZSaslCZXI175ck3zZnNH84pLqayuviwcAOG1gYEAvvvhi8nEikcg4KBckJNvhMRqNbrhUpNq0tLTQJxnI0yV7J7mCQ/KBXV411tVodmFJb0/N6OE9zU5PCQAqTj5lrxlvXfT39ysQCKR9bX3Nrs/n2/SQ29oxbhmby3gAxTE9M6+pmXlJ0kMVXJNcU+PRo3t3SpLeuH7b4dkAANbLOCSfP39+0xBpP3/s2DFJy3XKm/UUtsfaO85uGJvLeADF8dbKob3dO+q1q7Egf9jlWk8/sEuS9Oo7mR8kAQCURsYhua+vT8FgMO1r4XA45ba6np6eTQP1+Pi4uru7k4/dMDaX8QCKoxrqkW1PHVguzXrtXXaSAcBtMg7Jx48fVzQa3fC8aZoKhUIaGhpKPnfy5EnF4/G0oTMUCqUc8nPD2FzGAyiOaqhHtrGTDADulXFI7u3t1cjIyIag/MILL6ivry+lNZxhGDp79uyGGuZQKCSfz+e6sbmMB1AcdrlFdYTk5Z3kb928q7mFRYdnAwBYK6uCv5GREQ0PD+vcuXMyTVPxeFwDAwNpA2Rvb68Mw1AgEFBnZ2ey3jccDrtybC7jARTeao/kyg/Jh1sb1dpYp+nZBX3zxh2992Cr01MCAKzwWJZlOT2JSpBIJNTa2qrp6WlawAF5eN9v/YW+/k5Cf/Lzz+qjj+93ejpF972//Tf660txffonntFPdR12ejoAUNGyyWt0rwfgGpZlJcstquHgniQ9dYC6ZABwI0IyANeYmplXYnZBkvRgBV9JvZZdl0yHCwBwF0IyANew65H37/JqR0Nl90i20eECANyJkAzANZLt36pkF1la7ZV8ZXpWU/fuOzwbAICNkAzANarpIhGb0VSvDqNREiUXAOAmhGQArmHvJD9YRSFZkp5e2U1+9R1CMgC4BSEZgGu8XWWdLWxPrRzee/Vd6pIBwC0IyQBcoxprkqXVw3uvcXgPAFyDkAzAFSzLqsqaZGm13OK1d2+L+50AwB0IyQBc4ead+7o3vyiPRzpSZTvJj+3bqboaj6ZnFzRhzjg9HQCACMkAXMK+ae9gS6O8dbUOz6a0Gupq9J69OyVxeA8A3IKQDMAVqrUe2Za8VITDewDgCoRkAK5QrfXINrvDxWvsJAOAKxCSAbhCtfZItj19gJ1kAHATQjIAV6jWHsm2p1d2kr95447mF5ccng0AgJAMwBVWa5KrMyQ/2NakXd46zS9a+taNO05PBwCqHiEZgOOWliy9PVXdNckej0dPJUsuqEsGAKcRkgE47t3bc5pbWFKNRzpsNDo9Hcc8ZXe44OY9AHAcIRmA4+weyR1Gk+prq/e3peTNe3S4AADHVe9PIwCuUe31yDZ6JQOAexCSATjurXh1d7aw2R0u3p6aUWJ23uHZAEB1IyQDcNyllYtEHmyvztv2bO07GnSwZbkm+zUO7wGAowjJABxX7T2S13qaw3sA4AqEZACOoyZ51VMrh/de5fAeADiKkAzAUYtLli7bPZJ3E5LtneTXOLwHAI4iJANw1LXErBaWLNXXepL1uNXMPrz36ju3ZVmWw7MBgOpFSAbgqEuTy6UWR4wm1dZ4HJ6N8x7ft1O1NR5NzczrWmLW6ekAQNUiJANwlH2RyEMc2pMkNdbX6pE9zZKoSwYAJxGSATjKPrT3IIf2kp4+QIcLAHAaIRmAo95e6ZF8tMp7JK/11EpdMr2SAcA5hGQAjkq2f6PcIoleyQDgPEIyAEe9xUUiGzy90iv5GzfuaGFxyeHZAEB1IiQDcMz84pImzOVyCy4SWXW0fYeaG2o1t7CkN2/ddXo6AFCVCMkAHHPFnNWSJXnranRgl9fp6bhGTY1HT+63Sy6oSwYAJxCSAThmtbNFk2rokZzCPrz3KjfvAYAjCMkAHEM98uaS11NzeA8AHEFIBuAYeiRvzj689ypt4ADAEYRkAI55O85O8mbsneTY5D3dmVtweDYAUH0IyQAcs9ojmYtE1tu706v9K4cZX2c3GQBKrq4QHzI8PCy/36/u7u4Nr0UiEYXDYXV2dso0TUnSmTNn0n6OG8bmMh5Abt6asm/bYyc5nacP7NL123N69d2EnnuwzenpAEBVyTskm6apQCCgYDC44bVQKKRz586lvBaJRNTT06NwOOy6sbmMB5CbuYVFXUvMSqJH8maeeqBFkTdv0QYOAByQd7nF6Oho2udN09Tp06d19uzZlOe7u7sVj8dT3ueGsbmMB5C7y1MzsixpR32t9u5scHo6rvT0ATpcAIBT8grJkUgkbYmFJJ0/f14+n0+GYWx47dSpUxoZGXHV2FzGA8jd2npkj4ceyek8/cBqhwvLshyeDQBUl7xCcjQald/vT/taMBhUe3t72td8Pp+i0Wiy3tcNY3MZDyB31CNv74n9O+XxSLfu3tf123NOTwcAqkrOIXl0dHTLw2xjY2Py+XxpX7Ofj8Virhmby3gAuaNH8vZ2NNTp4d3NkuiXDAClllNIjsVim+642kzTTFu2sP5z3DI2l/HpJBKJlK+5OXZ/gHTokZyZ5M17XE8NAFmbm5vbkM0ylVNIDoVC6u3tzeWtkpQMovF4vCzGZjO+o6NDra2tya/BwcGMPh+oNvRIzsxT9s17dLgAgKwNDg6m5LKOjo6M35t1C7h8A3Klm5iYUEtLS/Kx1+t1cDaAe1GTnJnkTjIdLgAgawMDA3rxxReTjxOJRMZBOauQbJqm4vH4pnW72XyOpG1LNtwyNpvxLS0tKSEZwEYz84vJg2gPEZK3ZHe4eP36bS0uWaqtoRMIAGTK6/XmvGGZVbnF6Oio+vr6cvpGAGB7a6XUoqWxTm1N9Q7Pxt06dzerqb5GM/NLik3edXo6AFA1Mg7JW7V7S8fn8216yM2u67V3pN0wNpfxAHJjh+SH2nbQI3kbtTUePbF/ueSCDhcAUDoZl1vEYjGdO3duw4UadhnC4OCgzp07p/b2do2MjMjv92/aU9gOonbodsPYXMYDyM2luF2PzKG9TDx9oEUXr0zr1XcS+rGnH3B6OgBQFTIOyb29vWkP7Jmmqba2Ng0MDKS83tPTo6GhobSfNT4+nnJTnxvG5jIeQG7emlrpkUw9ckaeSh7eYycZAEolrxv3tnLy5EnF4/G05QuhUEj9/f2uGpvLeAC5eYseyVlZvZ6aDhcAUCp5h2Q7UK7vH2wYhs6ePatAIJDyfCgUks/nS9l1dsPYXMYDyM3ammRs7+kDyzvJ37l1VzPziw7PBgCqQ9Z9km3RaFSDg4PJkBwIBBQOh9XT05PsgNHb2yvDMBQIBNTZ2Zms9w2Hwxs+zw1jcxkPIHtcJJKd/bu82tPcoFt37+uN67fVddhwekoAUPE8lmVZTk+iEiQSCbW2tmp6epo+ycAWbs8uqPWf/U9J0tS/+IhaaQGXkQ/9zhf1hfFJ/b+n3qefPZ75jVEAgFXZ5LWi1SQDQDr2ob22pnoCchaesuuSuXkPAEqCkAygpDi0lxu7Lvk1Du8BQEkQkgGUFPXIuXlyJSS/cf2OwzMBgOpASAZQUm9NLV8k8hA7yVmxb927Oj2r6Zl5h2cDAJWPkAygpGj/lhujqV4HWxolSW9c51IRACg2QjKAkqImOXdPHtgpSXqdkAwARUdIBlBSqzXJhORs2SUX1CUDQPERkgGUjDkzr+nZBUnSQ20c3MtWMiS/y04yABQbIRlAydi7yHubG9TszfnCz6q12uGCkAwAxUZIBlAy1CPnx95JvkKHCwAoOkIygJKhHjk/dLgAgNIhJAMoGXok58/ucMHhPQAoLkIygJJ5a9LukcyhvVw9vlJyQRs4ACguQjKAknlraqUmeTc7ybl6ciUkf4OQDABFRUgGUBKWZSVDMrft5c4+vPc6beAAoKgIyQBKYvLefd2ZW5QkPUi5Rc7sNnB0uACA4iIkAyiJt+LLh/YeaPGqsb7W4dmUr7UdLr5xg8N7AFAshGQAJXGJHskF88T+5Q4XlFwAQPEQkgGUhH2RCPXI+XuCm/cAoOgIyQBKgotECsc+vEdIBoDiISQDKIm3kxeJcGgvX0/S4QIAio6QDKAkqEkuHLsm+cr0rBKzdLgAgGIgJAMoOsuydHllJ/mIwU5yvtp2NOiBFq8krqcGgGIhJAMouunZBd2bX+6RfJiQXBBPUpcMAEVFSAZQdFenZyVJbU31aqJHckE8Tl0yABQVIRlA0V2dXi61ONTa6PBMKseTtIEDgKIiJAMoOnsn2b4pDvmj3AIAiouQDKDoriVWQjI7yQVjd7iYMOlwAQDFQEgGUHT2TjLlFoWztsPFN+hwAQAFR0gGUHT2TvIhyi0Kyr5573VKLgCg4AjJAIqOneTieIIOFwBQNIRkAEVHSC4Ou8PFN9hJBoCCIyQDKKr5xSVdvzMnie4WhWYf3qPcAgAKj5AMoKiu356TZUl1NR7t2+l1ejoVxS63oMMFABQeIRlAUdmlFg+0eFVT43F4NpWlfUeDDuyiwwUAFAMhGUBRXbU7W7Q2OTyTymTXJVNyAQCFRUgGUFTJQ3vUIxfFE9y8BwBFQUgGUFTJK6npbFEU9uG9N2gDBwAFVZftG0zT1OjoqCYnJ5OP4/G4BgYG5Pf7N4yPRCIKh8Pq7OyUaZqSpDNnzqT9bDeMzWU8gM1dm56RRGeLYrHLLd6gJhkACiqrkGyapgYHBzUwMCDDMJLPh0IhdXV1KRwOq7u7O+X5c+fOKRgMJp+LRCLq6elROBxO+Ww3jM1lPICtXUsst3+jR3Jx2OUWl80Z3Z5d0K7GrPc+AABpZFVucf78eY2Ojioej6c839vbK8MwFAgEks+ZpqnTp0/r7NmzKWO7u7sVj8c1OjrqqrG5jAewvasrO8mE5OJY2+GCumQAKJysQrLP55OkZAnCVs6fPy+fz5ey42w7deqURkZGXDU2l/EAtrfa3YKQXCyrJReEZAAolKxCcnd3t6amptLWHpumqWPHjiUfB4NBtbe3p/0cn8+naDSaDNtuGJvLeABbS8zO687coiRqkovp8f20gQOAQitId4vh4WFJSim3GBsbS+48r2c/H4vFXDM2l/EAtmZ3tmhprNNOL7WyxfLkSocLLhQBgMLJOySbpqmRkREFg8GUgGmaZtqyhbXswOmGsbmMB7C1awl6JJeCfXjvddrAAUDB5LS1Y7eBGx8fVzweVzgc3nQHNh07iK4/AOjWsdmMTyQSKY+9Xq+8Xm9G3wOoNMmLRKhHLiq7JpkOFwCQam5uTnNzc8nH63PaVnLaSTYMQ2fOnNHIyIj6+/vV39+vUCiUy0dVnI6ODrW2tia/BgcHnZ4S4BhCcmms7XDxjRvsJgOAbXBwMCWXdXR0ZPzevLcburu7dezYMbW1tWlkZER9fX3bvsc+/LbZITm3jc1m/MTEhFpaWpKP2UVGNeO2vdJ5Yv8uvXt7Tq+/e1vPHmlzejoA4AoDAwN68cUXk48TiUTGQbkgB/cMw1Bvb6/6+/urvvtDS0tLyhchGdVstSa5yeGZVL4nuHkPADbwer0bslmmChKSJen48eOSlm+nk5a7QWx2yM2u67XrmN0wNpfxALa2upPM/ywW2xP7ljtc0CsZAAojq5Dc1tamEydOpH3NPthmh0y/37/prvLaMW4Zm8t4AFtjJ7l07MN7dLgAgMLIOCSbprllKcX4+Lik1Z3Wnp6eTXdlx8fH1d3dnXzshrG5jAewucUlS+/eXj5RzMG94rPbwNkdLgAA+ck4JBuGob6+PgWDwbSvRyKRZG2yJJ08eVLxeDxt6AyFQurv708+dsPYXMYD2Nz123NaXLJUW+PR/l2UWxTb7uaG5DrT4QIA8pdVuUUgEEh7OG90dFTRaFQvvfRS8jnDMHT27NmUW/ik5bDp8/mSYdotY3MZD2Bzdj3ygV1e1dZ4HJ5NdXhyP4f3AKBQsmoB5/P5NDIykgyRpmkqHo+rvb1dU1NTG26r6+3tlWEYCgQC6uzsTIbrcDi84bPdMDaX8QDSu5qYkcRte6X0+P6d+tx3blGXDAAF4LEsy3J6EpUgkUiotbVV09PTWbUXASrVb//NJf2jP35NP/LUAf3Xnz3u9HSqwie/+JZ+6b++qo8+tk9/8rHnnJ4OALhONnmtYC3gAGAtu7PFQXaSSybZ4YI2cACQN0IygKK4xpXUJWd3uHh7akZ35uhwAQD5ICQDKIqrhOSSS+lwweE9AMgLIRlAURCSnWHfvEfJBQDkh5AMoCiuJgjJTnjigN0GjpAMAPkgJAMouDtzC0qs3PrGwb3SSvZKpg0cAOSFkAyg4OzOFju9tWpprHd4NtXFPrxHuQUA5IeQDKDgkvXI7CKXnN0Gjg4XAJAfQjKAgls9tNfk8Eyqz+7mBu3b2SCJDhcAkA9CMoCCo7OFs5J1yZRcAEDOCMkACs7ubHGQkOyIJ7h5DwDyRkgGUHDvTHMltZOeoMMFAOSNkAyg4OiR7CzKLQAgf4RkAAV3dXpGEt0tnPLEgeVb996iwwUA5IyQDKCglpYsvZOYk8ROslP2NHt1YJdXkvTK1WmHZwMA5YmQDKCgbtyZ08KSpRqPkkENpfe3O3dLkiJv3nJ4JgBQngjJAArKrkfev8urulp+i3FKz6N7JUnhb990eCYAUJ74CQagoK7R2cIV7JD8lctTMmfmHZ4NAJQfQjKAguIiEXfoMJr0nr3NWrKkz3+HkgsAyBYhGUBBJS8SYSfZcT3v2SdJ+nNKLgAga4RkAAXFTrJ79DyyR5IUISQDQNYIyQAK6loyJDc5PBN8sHOP6mo8Gp+8p9jkXaenAwBlhZAMoKCuJg/u0f7Nabsa6/T+B9sk0eUCALJFSAZQUNcS7CS7STet4AAgJ4RkAAUzM7+oqZV2Y9Qku8OHV0Ly574zqcUly+HZAED5ICQDKBi71GJHfa1aG+scng0k6ViHIaOpXubMvMYmTKenAwBlg5AMoGCuTs9IWt5F9ng8Ds8GklRb49ELDy93uaAVHABkjpAMoGBo/+ZO3Y/SCg4AskVIBlAwV7mS2pXsK6q/9PaUbs8uODwbACgPhGQABWN3tjjITrKr+HY3q3P3Di0sWfrCOFdUA0AmCMkACuYa5RaulWwF9yYhGQAyQUgGUDBX7R7JlFu4jt0KLvytGw7PBADKAyEZQMFwcM+9vu/hParxSN+6eVeXp+45PR0AcD1CMoCCWFqy1ty2R0h2G6OpXs8dsa+opuQCALZDSAZQEJP37mt+cflGtwO7CMluZNclR96kFRwAbIeQDKAg7FKLfTsb1FDHby1u1LOmX/ISV1QDwJb4SQagIKhHdr/njrRpl7dOk/fm9cq1aaenAwCuRkgGUBCrnS2aHJ4JNlNfW6Pve3i3JCnM7XsAsCVCMoCCSN62x06yq/UkW8ERkgFgK3XZvmF0dFTj4+OKRqOKx+Pq7u7W0NBQ2rGRSEThcFidnZ0yTVOSdObMGdeOzWU8gGWUW5QHOyT/zVtTuju3oGZv1j8GAKAqZPW7YyAQUH9/v/r6+iRJpmnqxIkTamtr06VLl2QYRnJsKBTSuXPnFAwGk89FIhH19PQoHA6nfK4bxuYyHsCqd+wrqblIxNUe2dOsI0aTLpsz+svYpL7/8f1OTwkAXCnjcotQKKRTp07J5/MlnzMMQ8FgMBmWbaZp6vTp0zp79mzKZ3R3dysej2t0dNRVY3MZDyAVO8nlwePxqOc9XFENANvJOCRfuHBBfr9/w/OGYaivr0+RSCRZnnD+/Hn5fL6UnWXbqVOnNDIyknzshrG5jAeQ6ur0jCRCcjnoeWSlXzKH9wBgUxmH5NHRUfX09KR9raurS5I0NjYmSQoGg2pvb0871ufzKRqNJgO1G8bmMh7Aqtn5RU3em5dESC4HLzyyRx6P9Nq7t3Vt5U8AAACpMg7Jx44d2/Q1OzzaIXNsbCylLGMt+/lYLOaasbmMB7DKvo66sa5GbU31Ds8G29nd3KCuQ62SuH0PADaTcUgOh8ObHl4bHx+XpGQ5hmmaacsW1rIDpxvG5jJ+M4lEIuVrbm5u2/cA5W5tPbLH43F4NsiEfUU1/ZIBVLK5ubkN2SxTBemTPDo6mux4sR07iMbj8bIYm+34jo4Otba2Jr8GBwcz+h5AObtGZ4uy8+GVkBx58xZXVAOoWIODgym5rKOjI+P35t0gMxAIyOfzbdorudpMTEyopaUl+djr9To4G6A06GxRft7/UJt21Nfq+u05vfpuQu892Or0lACg4AYGBvTiiy8mHycSiYyDcl4hORqNanR0VBcvXty2VMG2vn7Z7WOzHd/S0pISkoFqwG175cdbV6sPdu7WZ795Q+Fv3yIkA6hIXq835w3LvMotTpw4oZdeemnTA28AqoNdbsFOcnmx65JpBQcAG+Ucknt6ejQyMpK2d7LP59v0kJtd12sHazeMzWU8gFXJcouWJodngmzYV1T/ZWxSs/OLDs8GANwlp5Dc39+vQCCg7u7utK/7/f5NewrbQdQO124Ym8t4AKuoSS5PT+zfqYMtjZpdWNJfX8rsIDMAVIusQ/Lw8LBOnDixISDHYjFFIhFJy7vMm+3Kjo+Pp7zXDWNzGQ9gmWVZdLcoUx6PRz2P7pEk/TklFwCQIquQHAqF5Pf70wbGaDSaLEc4efKk4vF42tAZCoXU39+ffOyGsbmMB7Asfm9ecwtLkqSDrXRzKTc91CUDQFoZh+RoNKqRkRHFYjGNjo4mv4aHhzU8PKzBwcFkSDYMQ2fPnlUgEEj5jFAoJJ/Pp97e3uRzbhiby3gAy+xSiz3NDfLW1To8G2Sr+5HlkPzVawnduM3lRwBgy7gF3AsvvCDTNJMlFeutP9TW29srwzAUCATU2dmZrPdNd2ufG8bmMh6AdHV6RhL1yOVq3y6v3newRV+9llDkzZv6Sf9hp6cEAK7gsSyLq5YKIJFIqLW1VdPT0/RJRlX51Mtvqy/4dX30sX36k4895/R0kIMzf/KG/q8vjOun/If06Z/kgDKAypVNXivItdQAqhcXiZS/H37ygCTpv776rqZn5h2eDQC4AyEZQF7obFH+PvBQmx7ft1P35hf1B69cdXo6AOAKhGQAeblGj+Sy5/F4dPr5ByVJZ7/8tqjCAwBCMoA8cZFIZfjprsPy1tXoq9cSunhl2unpAIDjCMkA8kJIrgy7mxv0408/IEka/fLbDs8GAJxHSAaQs7mFRd28e18SIbkSnH7+iCTpD1+5qtuzCw7PBgCcRUgGkLN3E8uXTzTU1mj3jgaHZ4N8fa9vtx7d26y79xf1h1/lAB+A6kZIBpCzq8nOFl55PB6HZ4N8eTwenX5u+QDfpyi5AFDlCMkAckY9cuX5+8cOq77Wo7Er04peMZ2eDgA4hpAMIGerIbnJ4ZmgUPbu9OrHVg7wnX35ssOzAQDnEJIB5Izb9iqTXXLxB9GrujvHAT4A1YmQDCBn9m17h7htr6J8sHO3Onfv0O25BZ372jWnpwMAjiAkA8jZNXaSK1JNjUcfe271Bj4AqEaEZAA5u8pOcsX62eMdqqvx6OXLpr5+LeH0dACg5AjJAHJiWZauTs9IortFJdq/y6sfeeqAJOnsy+wmA6g+hGQAOTFn5jUzvySJcotK9bHnlm/g+72LV3TvPgf4AFQXQjKAnNidLdp31Kupvtbh2aAYuh/Zq4famjQ9u6Dg195xejoAUFKEZAA5SdYjs4tcsWpqPPrY8ysH+Ci5AFBlCMkAcpLskcyhvYr2D453qLbGoy++NaXX373t9HQAoGQIyQBy8sb15cDk293s8ExQTA+0NOqHntgvid1kANWFkAwgJxcnpiVJxw63OjwTFNvplQN8/3nsimbnFx2eDQCUBiEZQNaWlixFry6H5K7DhrOTQdF9+D37dMRo0tTMvP7oVQ7wAagOhGQAWXvz1l3dnltQY12Nnti/0+npoMhqazz6uWeXd5O5gQ9AtSAkA8jaxSumJOl9h1pVV8tvI9Xg557tUI1H+stYXN+8wQE+AJWPn24AsjZ2xS61oB65Whw2mvQDj68c4PvyZYdnAwDFR0gGkLXoyk4y9cjV5fRKz+RPj01oboEDfAAqGyEZQFbWHtqjs0V1+ch79upQa6Mm783rj1991+npAEBREZIBZOXbt+7oztyimupr9Ng+Du1Vk7raGg7wAagahGQAWRlb6Y/8DIf2qtLPP9shj0f6/Pik3uAGPgAVjJ9wALJykXrkqnakbYd+5MkDkqTfeOlNh2cDAMVDSAaQlYt0tqh6/6znUUnSf/nqVX3jOrvJACoTIRlAxhaXLEWv2If2DGcnA8c8c6hVP/LUAVmW9BsRdpMBVCZCMoCMfevGHd2bX1RzQ63ew6G9qvZ/ruwm/+FXr3K5CICKREgGkLGxlXrkZw61qrbG4+xk4KhnDrXqh5/cL8uS/mWY3WQAlYeQDCBjdj2yn3pkSPq1D79HErvJACoTIRlAxuzOFtQjQ2I3GUBlIyQDyMjC4pK+ejUhic4WWGXvJv8XdpMBVBhCMoCMfHPl0N5Ob60e3cuhPSx75lCr/s6T+7VEpwsAFaYu2zeYpqlAICDDMDQ0NLTpuEgkonA4rM7OTpmmKUk6c+aMa8fmMh6oJnY98jMHObSHVL/W86g+8/p1/eErV/V/dD+ix/btcnpKAJC3jENyIBBQLBbT8ePHFYlE1N3dvenYUCikc+fOKRgMJp+LRCLq6elROBx23dhcxgPVxu5s0dVhODoPuI//sKG/8+R+feb16/qNyJv6zz/pd3pKAJA/Kwd+v9/q6+tL+9rU1JRlGIY1NTWV9n0jIyOuGpvL+HSmp6ctSdb09PS2Y4Fy9P5/91eW51c+Y/3+xQmnpwIXujgxZXl+5TNW7f/+Geub1287PR0ASCubvFbwmuTz58/L5/PJMIwNr506dUojIyOuGpvLeKDaLB/as6+jNpydDFzJ3k1erk3+ttPTAYC8FTwkB4NBtbe3p33N5/MpGo0m633dMDaX8UC1eeP6Hc0uLGmXt06P7Gl2ejpwqV9buYXvD165qm/duOPwbAAgPwUPyWNjY/L5fGlfs5+PxWKuGZvLeKDa2P2R/YdaVcOhPWzCf9jQDz3BbjKAylDwkGyaZtqyhbXswOmGsbmMB6rN2Epni64O+iNja7/24dXd5G/fZDcZQPkqaZ9kO4jG4/GyGJvL+EQikfI1NzeX0fsAN4vanS2oR8Y2ulJ2k+mbDMBZc3NzG7JZprhMpMA6OjrU2tqa/BocHHR6SkBe5heX9NVry7+pHOOmPWTA3k3+/egVdpMBOGpwcDAll3V0dGT83pKGZPvw22aH5Nw2NpfxExMTmp6eTn4NDAxk9D7Ard64fltzC0tqaaxT524O7WF77CYDcIuBgYGUXDYxMZHxe9lJLrCWlpaUL6/X6/SUgLyMTazUI3NoD1lgNxmAG3i93g3ZLFMFD8k+n2/TQ252Xa/dMcINY3MZD1STi9y0hxx0HTb0g48v7yb/K3aTAZShgodkv9+/aU9hO4j6/X7XjM1lPFBNLtqdLahHRpbs3eTfi17Rm+wmAygzBQ/JPT09m+7Kjo+Pq7u721VjcxkPVIv7C0v6WvLQnuHsZFB2jnWs7ib/Qujrund/wekpAUDGCh6ST548qXg8njZ0hkIh9ff3u2psLuOBavH69du6v7gko6levt07nJ4OytBvfPQxNTfU6vPjk/qh3/2K7s4RlAGUh5xCsmmam/YNNgxDZ8+eVSAQSHk+FArJ5/Opt7fXVWNzGQ9Ui7EJU9JyqYXHw6E9ZO/pB1r0/51+Xru8dfr8+KR+4Hdf1u1ZgjIA96vLdODw8LAuXLigWCyW/Orp6ZFhGDp16lRKkOzt7ZVhGAoEAurs7EzW+4bD4Q2f64axuYwHqoFdj+w/RD0ycvfdR9v1Z33P6yNnv6y/jMX1/Z/6sj77sefU0ljv9NQAYFMey7IspydRCRKJhFpbWzU9PZ1VexHAzY7/33+pi1emde6nu3TivQedng7K3NiEqQ+PflnmzLyeO2Lof55+XkYTQRlA6WST1+iTDCCtuYVFff2d5UN7dLZAIRzrMPTSL7xf7Tvq9fJlUx8e+ZLi9+47PS0ASIuQDCCt1969rflFS21N9TrazqE9FMYzh1r10i+8X3uaGzR2ZVrdn/ySJu8SlAG4DyEZQFp2PfKxDg7tobDee7BVn/uF92vfzgZ99VpCH/rkF3XzzpzT0wKAFIRkAGnZnS389EdGETz1QIs+/4sf0IFdXr36zm196He+pOu3CcoA3IOQDCAt+zrqY9Qjo0ge379LX/ilD+hgS6Nev35b3/c7X9Q7iVmnpwUAkgjJANKYnV/Ua+/eliR1sZOMInp070594Zc+oA6jUd+8cUff9ztf1NXpGaenBQCEZAAbvfrO8qG93Tvq9WBbk9PTQYV7eE+zvvCL360H25r07Zt39cH/8EW9y44yAIcRkgFsYJdadB02OLSHkji6e4e+8Isf0NH2HRqfvKcf/o8XdO8+N/MBcA4hGcAGYyudLbo6qEdG6TzYvkN/1ve8du+o14UJUz/9B69ocYn7rgA4g5AMYIPomp1koJQe3tOsP/4Hx9VQW6M/fu1dBf70DaenBKBKEZIBpFh7aI/OFnDC9xzdrf/4d98nSfo3fxHT73zxLUfnA6A6EZIBpPj6OwktLFna29ygDoNDe3DGTzxzSP/iI++RJP2jP35Vn/3GdYdnBKDaEJIBpBibWKlHPsxNe3DWP33hEf3s8Q4tWdLf/b2L+tq1aaenBKCKEJIBpBiz65E7DEfnAXg8Hn3yx79LH3p4j+7MLeoHf/cr9FAGUDKEZAApoldWd5IBpzXU1Sj0M8f0+L6dujo9qx/63a/o9iyt4QAUHyEZQNLM/KJev24f2jOcnQywwmiq159+7Dnt29mgr15L6Cd+76IWFpecnhaACkdIBpD0tWsJLS5Z2rezQYdaG52eDpD0UPsOfebnnlVjXY0++80b+uX//rosix7KAIqHkAwgaWzClLS8i8yhPbjNs0fa9Ht/zy+PR/oPX3xL//avLjk9JQAVjJAMIMmuR/ZTjwyX+rGnH9DwDzwhSfqV//G6/ttr7zg8IwCVipAMQJJkWZa+MjElSTpGZwu42It/26f+9z8oy5L+3u9H9fnv3HJ6SgAqECEZgCTpz751U29cv6OG2ho9f6TN6ekAm/J4PPr3P/KUPvKevZqZX9ILn/ySTn56TN+5ddfpqQGoIIRkAFpcsnTmT96QJP2v3/OQ9u3yOjwjYGt1tTU699PH9HPPHpHHI4W+/o6e/M3P65f/+2uavHvf6ekBqACEZAD6Txcm9Nq7t9XWVK//44VHnJ4OkJFdjXX61Mn36qsv/m195D17Nb9o6d/91SU9PPiShj//Hc3OLzo9RQBljJAMVLm7cwv6tT/7piTpn/U8orYdDQ7PCMjO0w+06LOnn9ef9T2v9x5s0fTsgv7Jn35Djw19Xr938YqWlmgVByB7hGSgyv3WX8T0TmJOR9t36Jc+8JDT0wFy1vPoXo398vfqP556nw63NuqyOaO//4ev6Nl/+1f63Jsc7gOQHUIyUMXeTczqN7/wHUnS4Ecfl7eu1uEZAfmprfHoZ4536Fv/5EP6je9/TLu8dYpenVb3yJf0g596Wa+/e9vpKQIoE4RkoIp9/M+/pbv3F/XcEUMn3vuA09MBCqapvlYDLzyi7wx8SP/wux9SXY1Hn/3mDX3Xb31BP/0HUb15847TUwTgcoRkoEq9/u5t/e7LlyVJv/lDT3DDHirS3p1e/fsffVqv/eoH9WNPH5BlSb8fvaonfvML+rn/8lXFJmkbByA9QjJQpf7Jn76hJUv6sacP6HuO7nZ6OkBRPbp3p0I/c1wXfvlv6Qcf36/FJUv/aWxCjw19Xn3Br+nt+D2npwjAZQjJQBX63Ju39KffuKG6Go8GP/q409MBSqbrsKHP/Pyz+vI//h595D17tbBk6VMvX9ajQ5/TL/3R13XFnHF6igBcgpAMVJmlJUu/+ievS5J+4QMP6ZG9Ox2eEVB6zx5p02dPP6+/+offrRce2aP5RUuf/NLbenjwc/rH/+01vZOYdXqKABxGSAaqzO+/ckWvXE2opbFOv9bDxSGobt99tF3h/vfr87/4fn2vr133F5f0//z1JXX+q5f0K595nTIMoIp5LMuiy3oBJBIJtba2anp6Wi0tLU5PB0hrZn5Rjw19ThPmrAY/+rgCH3rY6SkBrmFZlj7/nUn92p99U198ayr5/HNHDJ1830Gd+K6DOmw0OThDAPnKJq8RkguEkIxy8K8/96b+6We/qQ6jUd8MfEhN9fRFBtazLEt//u2bGv7cd/SF2KTW/pT87ofadPJ9h9T7XQ/ogZZG5yYJICeEZAcQkuF2N+/M6ZF//TklZhf06Z94Rj/VddjpKQGu925iVqGvv6PzX7umv74UTz7v8Ujfe3S3Trz3oH78ux7Q/l1eB2cJIFOEZAcQkuF2/+iPX9Vv/81b8h9q1Vf+t7+lmhr6IgPZuDo9o+DX3lHwa9f0pbdXyzFqPNL3PbxHP/zkAR3vMPRdB1v4UxrApQjJDiAkw82+ffOOnvrNL2hhydJLv/B+fd/De5yeElDW3o7fS+4wX5gwU16rrfHo8X079cyhVj1zqFX+Q61636EWtTTWOzNZAEmEZAcQkuFmP/6fLuiPX3tXP/j4fn3m5591ejpARYlN3lXwa+/oL8Zv6eKVad28ez/tuIf3NOuZgy165vBycO46bGh3c0OJZwtUN0KyAwjJcKu/vjSp7/3tL6rGI339Vz6oJw7scnpKQMWyLEvXErN65WpC0SvTeuWqqVeuJnR5k0tKHt7TrOeOGDreYei5I21636EWeeso1QCKJZu8VleiOZWdSCSicDiszs5OmaYpSTpz5oyzkwKyZFmWfvV/vCFJ+thzDxKQgSLzeDw61NqkQ61N+sEn9iefv3V3Tq9cTeiVq9N65eq0Ll6Z1ndu3U1+/X70qiSpvtaj9x1s1bNHlkPzs0cMPbKnWR4PZwiAUmMnOY1QKKRz584pGAwmn4tEIhoaGlI4HE77HnaS4SYLi0v6zBvX9dt/fUmfH5/UTm+tvh34kA7Qsgpwjfi9+7owYerlt01dmJjSy5dN3UpTqtHWVK/3HmzR4dZGHWxt0qHWRh1qbdTBluVfD+zyqr6Wu8GATFBukQfTNHX06FFdunRJhmGkvNbV1aX+/n719fVteB8hGW5wbXpWn3r5ss6+/LauTi9fq+vxSL/9o0/rFz7wkLOTA7Aly7L0VnxGL1+e0lcmTH3l8pSiV6Y1u7C05fs8HmnfTq8OrYTmgysBevnLm3y8e0cDXW1Q9Si3yMP58+fl8/k2BGRJOnXqlEZGRtKGZMAplmXpC+OT+p0vvqX/9tq7Wlha/v/evc0N+tjzR9T33IN6sH2Hw7MEsB2Px6Oju3fo6O4d+rvPHJIkzS8u6evvJPSN63d0LTGrq9OzujY9u/rXiVktLFm6fntO12/PKXp1etPPr6/1rAnPjXqgdTlE79/pVduOerU11autqUFtO+rV3lSvHQ21lHmgqhGS1wkGg2pvb0/7ms/nUzQalWmaaUM0UErTM/P69MUr+uQX39I3btxJPv89R9v1ix94SD/29AEOAAFlrr62Rl2HDXUdNtK+vrRk6dbd+7q6JjTbv76z8uu1xKxu3Lmv+UVLb0/N6O2p9IcIN35vz0pwrlfbjobkXzd7a7WjvlY7GtL/2lS/8fnmhrrkX9eym40yQUheZ2xsTCdPnkz7ms/nkyTFYjH5/f5STgtVxrIs3bu/qDv3F3VnbkF37i/oztyi7txf0O3ZBYXfvKnfv3hV9+YXJUk7vbX6Kf9h/eIHHtLTD1DuA1SLmhqP9u3yat8ur5451LrpuPsLS3r39qyuJeaWg7MdpBOzun57TlMz88tf95Z/XViyNL9o6cad+7px576kuwWbc0NtzUpw3himG2prVF/rUX3Nyq+1Napb97i+ZuXXlcdr39NQZ/+6Oq5hZVxtjUe1Ho/qapd/ra3xJJ9b/mut/rXHo5oaj2o8y8/VeDyqqdHyr541z6+MWfs8u++Vg5C8Tia7xFuF5EQikfLY6/XK6y38daV/EL2is1++XPDPxeYsZVe+b1nSkrX8LsvSyq+WlqzlX601Y5Ys6d78aiC+e39RmZwWeHL/Lv3iBx7ST3Ud4qICAJtqqKvRkbYdOtK2femVZVm6e39xTWi+nxKg780v6t79xeSvM+ser/31rv36/OrvafcXl3R/ZknmzHyR/66dYwdnTzJArwZpj0fyaDlML/+a5nHKa2vfs/7x5p8nrQZ2+/nlv155zpP+OXu8NnmPbf33WPvc+rHrx6Ub/+9+9KlN/8QkH3Nzc5qbm0s+Xp/TtkJIzoIdnuPx+KZjOjo6Uh5//OMf1yc+8YmCz2XCnNVfxCYL/rlwn53eWu1sqNNOb512NtRqp7dOvvYd+rlnj+hv+drZtQBQUB6PZ/n3G2+dOoymgnymZVmaXVhKE6IXUp67v2hpfnFJ84uW5pdWfk33eGn1+YXFJd1f+evlX5dfv7+wOu7+4pIWFi0tWpYWl1a+LEuLS0o+t7CU+trqJsbyRkY2llbeu/J3X5A1rHSJ2YWifO7g4KB+/dd/Paf3EpILbGJiIuW0ZDF2kSXph5/aL99uDmOVWrZxtKZms92AlT+W0+pOQHNDahje5a1TU30tp9EBlD2Px6OmlXrl3U5PJgdWSmhODc+LS8t/Mph8bin9uLW/Lv/p4sqv1mqMXvunjMnX1z+/8tr6P5W0x2vlsbTuOW18LfXx6hzSjt/k+a3eqzRjV9+T+uRTRerjPzAwoBdffDH5OJFIbNjQ3AwhOQv2pSKbHeyTpJaWlpK0gHts3y49to+LIQAAKDZ7M6Mm660SOC2fsle6jwMAAADrEJLX8fl8isViaV+za5HtLhcAAACoTITkdfx+f7KsYj07PNP+DQAAoLIRktfp6enZdCd5fHxc3d3dJZ4RAAAASo2QvM7JkycVj8fTBuVQKKT+/n4HZgUAAIBSIiSvYxiGzp49q0AgkPJ8KBSSz+dTb2+vQzMDAABAqdACLo3e3l4ZhqFAIKDOzs5kjXI4HHZ2YgAAACgJj2Wla/GMbCUSCbW2tmp6erokfZIBAACQnWzyGuUWAAAAwDqEZAAAAGAdQjIAAACwDiEZAAAAWIeQDAAAAKxDSEbRzM3N6ROf+ITm5uacnkpZYv3yxxrmh/XLH2uYH9Yvf6xh7mgBVyC0gNuINckP65c/1jA/rF/+WMP8sH75Yw1T0QIOAAAAyAMhGQAAAFiHa6kLxK5aSSQSDs/EPey1YE1yw/rljzXMD+uXP9YwP6xf/ljDVPY6ZFJtTE1ygVy5ckUdHR1OTwMAAADbmJiY0OHDh7ccQ0gukKWlJV27dk27du2Sx+NxejoAAABYx7Is3b59WwcPHlRNzdZVx4RkOM40TUUiEQUCAY2Pj+c8BqtGR0c1Pj6uzs5OjY+Pa2BgQIZhOD2tstDf36+uri75fD61t7envObz+VjHDESjUQUCAfX09Mjn8ykWi2l8fFwjIyNOT61sjI6OSlr+ve/ChQvq7+9Xd3e3w7MqL/zc2B5rtDVqkuGoaDSqsbExtbe3KxaL5TwGq0ZHRxUOhxUMBiUtr98LL7ygixcvOjyz8jA2NpYMKGsZhqFLly45MKPyFIvFFAgE5PP51NvbS0DOQn9/v06cOJEMxZFIRD09PZqamuJ/0jLEz43tsUbbYycZrhCLxdTZ2bllIX0mYyB5PB6Fw+GUXafOzk6NjIywE5WBQCCgoaGhlOei0ahisZh6e3sdmlV5iUajkiS/3+/wTMrTiRMn1N7envwfC/v3vvX/XWN7/NzYHmu0OXaSgQpihxOfz5fyvM/n4wdshk6dOrXhuUgkojNnzjgwG1Qj+0+BbPZ/18eOHXNiOkDVIiRXMdM0FQgEZBjGhp2ztSKRiMLhsDo7O2WapiQRGDbh1jU1DCP5g9bN3LB+63c/0+0su5kb1tD+fPuPci9cuFA2dfFuWb+1RkZGNDQ0VBbrJ7lzDSsFa1tahOQqFAgEFIvFdPz4cUUikS13F0OhkM6dO5eys2HXx4XD4VJMtyy4ZU3tgGf/pmhze72ZW9ZvvUgkouPHjxf0M4vFbWto1yJLy/9ednV1ufpgkNvWT1o9X9DT01MWAceNa1gpWFuHWKhqfr/f6uvrS/va1NSUZRiGNTU1lfZ9IyMjBZvH+Pi4td2/jpmMcQOn1/TMmTPWmTNnko/Hx8ctv99vdXd35/3ZpeD0+q1VLmu2npvW0GYYhhUMBovy2YXmpvWbmpqy+vr6Uv6bLgduWcNy+bmRjUKvbSWuUaGwk4xNnT9/ftOWV6dOndLIyIj6+vokLf9faqan19fX21WTUqzp0NCQhoeHNTw8nPxe6dqZlaNS/jsZjUYVj8fzmq8bOfXftV0XX+6HH0u9foZhaGRkRB6PR7t37y6LHeXt8LOleLJZW2yPkIxNBYPBTYOVz+dTNBqVaZoyDEPd3d0cCstAqdZ0/Q9Su2dtuSvlv5Pnzp3bcACyEpRiDdva2vTSSy9VZHeLUqxff39/sn3e2s8Oh8MVEZL52VI82awttrf1VSOoamNjY5uGBPt5t9e6uk0p1tT+TdBmmqZisVhF7B6U8t/JaDRaEbvv65ViDY8dO7bhe8RiMXV1deX1uW5Q7PWLRqMaHR3d8BnxeLxigg0/W4qHtS0sQjI2lcn/bRbqP7b1B81yHeN2pVjT06dP6/z588nHgUBAZ8+ezesz3aKU/07GYrGKCSVrlWIN1+8gh0Ih+Xy+ivgftWKvn9/v15kzZ1J2TyORiEzTLKsuK1tx28+WSpLL2lbbGmWDcgvkxP6PMN+azVgsplAolDxxe+LECR0/flx9fX3J75HJmEpQqDUdGhpSNBrV8PCwJicnU27uqmSFWr+1n1cunS0KpZD/Dg4PD0uSJicnZZpmVdz4WKj1GxgYSK6fJF24cEEXL16syPKf9Ur5s6XarF9b1mh7hGQ4yufz6cyZM1vW2WUyBquo4SuMagh1xcR/r7kzDIP1yxM/N7bHGm2PcgvkxP7jmUqs2XQKa5of1i9/rGF+WL/8sYbFw9pmj5AMAAAArENIxqZ8Pt+mhyfsmqZqqJErJNY0P6xf/ljD/LB++WMNi4e1LSxCMjbl9/s3PfVq/0dYiX1Qi4k1zQ/rlz/WMD+sX/5Yw+JhbQuLkIxN9fT0bPp/pOPj4xwOywFrmh/WL3+sYX5Yv/yxhsXD2hYWIRmbOnnypOLxeNr/4EKhkPr7+x2YVXljTfPD+uWPNcwP65c/1rB4WNvCIiRXOdM0N+1HaRiGzp49q0AgkPK8fTFAb29vKaZYdljT/LB++WMN88P65Y81LB7WtnQ8lmVZTk8CpTU8PKwLFy4oFospGo1KWu6taxiGTp06teE/okgkonA4rM7OzmStE30VU7Gm+WH98sca5of1yx9rWDysrTMIyQAAAMA6lFsAAAAA6xCSAQAAgHUIyQAAAMA6hGQAAABgHUIyAAAAsA4hGQAAAFiHkAwAAACsQ0gGAAAA1iEkAwAAAOsQkgEAJTM8PCyPx5P86urqcnpKeQkEAil/Pz09PU5PCUCBEJIBACXV3d2t8fFxjY+PKxgMOj2dvAwMDCT/Xs6cOeP0dAAUECEZQNXp6elJ2f2zv3IVjUbV1ta24fP6+/sLOOvKYRiGfD5f8ktKv4adnZ05f48TJ06kfFZbW5tGR0cL9beQtPbvJZ/5AnAfQjKAqhMOh2VZli5evJgMadJyUMvF4OCgTNOUJPX19WlqakqWZWlkZKQQ060Kfr8/uW5+v19+v1+xWEyRSCTrzzJNM/nPwzAMTU1NaWpqSn19fQWeNYBKRkgGULXi8bh6e3tlGIYkKRaLZf0Zw8PDKXWogUAg+XnIzbFjx5K78Ln8j8b58+eT7/f5fPzzAJATQjKAqhUOh9XT05PcTc42JMdiMU1OTqbsWq7dmUbuTp48KUkKhUJZv3d8fJx/DgDyRkgGULUikYi6u7uTgWp8fDyr9w8NDWloaEjhcFjS8oE0FI5dHpFNUI7FYtQGAygIQjKAqpfLTnIoFNKJEyckKVk3S/uvwrLXN5uSi1AoRO0xgIIgJAOoSvYusqTkzmOmIdk0TYXDYXV3d6cc9mMnubC6u7tlGIYikUiypGU7k5OTxZ0UgKpBSAZQlex6ZCn7neTBwUENDQ1JWt1Fph65OOxd4Uzat0WjUXbzARQMIRlAVYpGo8md37Xhdrsdy2g0qs7OzmTHBOqRiyubLhfnzp3jnwOAgiEkA6hK8Xg8+ddrQ/J2u8mDg4MpNa9jY2OSqEcuFp/Pl+yZnEuLPgDIFSEZQNVZW49sy6RX8vDwsAYGBpKPo9FocueZHcziOXXqlKStd5NDoVByHAAUAiEZQNVZW49s264u2e6J7Pf7k89Rj1wamdQlX7hwIeWfDQDki5AMoOqsrUe2HTt2TNLmvZLtnshrZVOPfOLECXV2dsrj8cjj8ainp0cnTpzQiRMn1NPTo66uLvX09Gx7NfaJEyfU1dW15ed0dXVldNBts8+yxWKxlHm3tbWpp6cnWSdcKoZhqLu7W6Zppr2m2jRN7d69u6RzAlD56pyeAACU2tp6ZJvdBs6uMV4rFAqlrTnOph45GAwqGo2qq6tLfX19aUsHRkdH1dXVpZGRkU17/QaDweSFGWfOnNkQ3O35njhxQhcvXtyyRGHtnHp7exUMBlNe9/l8CgaDGh0dVX9/v/r6+tJ+v1Lo7+9XJBLRyMjIhv8pOX/+PL2RARQcO8kAqkq6XWRp63KLcDis3t7elOdisVjW9cjbheq+vj75fL5td2q3u7ykt7dXfr9fo6Oj23brsD9rq3reixcvbjum2Oz1T3f73vj4eLKmPB+maWp0dFSBQECBQCCj9QNQuQjJAKpKJBJJGy7tkLw+FNmBKd3nSNnVI2dSnpHJAcJMPqe9vV1S+l3zbD8rEonIMAzHa37TXVNdqGuoA4GABgcHdezYsWRpzbFjxzQ4OFjy8hIA7kBIBlBVwuFwsv54rXRt4KLRqHbv3p02BOfSHzkSicjn822562nXJG8VvCORyLaB1Q622wX4sbGxLedkmqZisVjaNSu1dNdU53sNdTQa1YkTJ9Tf36+hoaGUdfX7/RoaGlIgENCJEye2rRcHUFkIyQCqSjweTxsI1z5nh+TBwUGdOXMm7edsV/Kwnl2esVWotg/bbfY9M/0ce+f77NmzW87JbmG33S6y5I4+0Omuqc73GuqRkREFg8Et/2fCrs0eGRmh/AKoIoRkAFUjGo1uuSO6ti55fU/ktXKpR94ubJqmqUAgoN7e3i0Px233OXYtbTAY3FBHvV4mBw/ddqPg2nZw+V5DvVkpzWbsXWUA1YHuFgCqxmb1yDafz6dYLKZwOJy86W2zz5EKU48ci8UUiUSSdbDblQ7YnxMOh1P++P/ChQuKxWLq7+/X1NRUVnMaGRnRuXPn0o6x/16drke29ff3a3h4WCMjI5qcnMy520YsFtu0lGYzhmGos7NT0WjUNesBoHgIyQCqxsjISDIYpmMHpkgkokuXLm06zv6MbOp07RrhwcHBlOd3794tv9+/aX/mdJ9j18quZfcQDgQCGh8fzyg82jXSm62JaZpqa2sr+S5yPB7ftCzG/p+X7eqDtzuwmGstc19fnwYHBwnJQBUgJAOoeNFoVIFAQLFYLLljmy6A2V0Szp49u+lBtmg0muyukGnbMbs8Y7tSikw/J11oNQxDvb29MgwjuVu+1feyP+vkyZObjnGiHjkUCikUCsk0TQWDwbRr3N/fr/7+/i1b0tkherMuIZu1jYtGo3rhhRdkmqYuXry4IQwbhkFdMlAlqEkGULGi0ag8Ho+6urqSgW90dFRtbW1p23r5/X51d3en7Ync1tYmj8ejF154QYZhyDAMhUKh5E10W+1sFipsZvI5doBO1084288qZT2y/c/K7mARiUTU1taWcgOg7eTJk/L7/Wl3c7u6utTZ2ZmsHbZ3wzs7O7ddE/v72iF4sxIUANWBnWQAFcvv98uyrIzHd3d3b3rRSKZ1vukUKmxmUuaxVX/lbOdUynrkbP5ZGYaRvOBkvc2ez1RfX18yHNMfGahuhGQAKLJMexZn8jl+v3/LMg872G7X2WK7ns12f2S3dLUotK6urrQH8LYK4JKS13gDqHyUWwBAEWXS17hQn2N3t/D5fBnVI5dLf+RiOHnyZMqlJJkaGRnZso4bQOUgJANAEdl1sPmGTftzjh8/vunrXV1d8vv9W3bwWPtZW+2I2iUHlbqTbB9wzKRO2RYKhdTT05PxgU0A5Y1yCwAogkAgoGg0mrywY2hoSOFwWENDQ1mVXdifY+/sDg4OphwoM01T8XhcPp9PZ8+e3bLMIpM5nThxItlOTpJOnz6dvHGu0vT29qq/v1+GYWz7PwPRaFThcDin3WcA5cljZXOqBQCAPAwPD+vChQuuCt2jo6MaHx/XwMDAhl1i0zQ1ODiozs7Obfsq2zcdbreTD6A8sJMMAKhqfX19isViGhwc3NAD2TCMZJ03gOpCSAYAlJTdX1pabv2Wb9u2QtjusONmAoGAhoeHk48rtYYbqEaUWwAASsauoV6rnHdpK+3vB8AqQjIAAACwDi3gAAAAgHUIyQAAAMA6hGQAAABgHUIyAAAAsA4hGQAAAFiHkAwAAACsQ0gGAAAA1iEkAwAAAOv8/z5rZb6hTX5KAAAAAElFTkSuQmCC", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(mass_arr,yield_pbh_arr, label=\"PBH\")\n", + "plt.xscale(\"log\")\n", + "plt.xlabel(r\"$M_{PBH}$ [M$_\\odot$]\")\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 64, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_41330/2979419074.py:4: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", + " return quad(gamma_wrapper, 0.25, 1825*24, epsabs=0, epsrel=1e-1)[0] * s.n_sources * s.obs_time\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "p_arr = np.linspace(0.66, 1.33, 6)\n", + "yield_ffp_arr = np.array([yield_ffp(p) for p in p_arr])\n", + "plt.plot(p_arr, yield_ffp_arr, label=\"FFP\")\n", + "plt.yscale(\"log\")\n", + "# plt.ylim(1e-6, 1)\n", + "plt.xlabel(r\"$p$\")\n", + "plt.ylabel(r\"Total Yield\")\n", + "plt.title('FFPs')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 87, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "dN_dt = np.array([gamma_func_ffp_finite([[1, t]]) * s.efficiency(t) for t in np.logspace(-1.9,3,100)])\n", + "# plt.loglog(np.logspace(-1.9,3,100)/24, dN_dt*1e8 * 6*72*24 * 0.667)\n", + "plt.loglog(np.logspace(-1.9,3,100)/24, dN_dt* s.n_sources * s.obs_time)\n", + "\n", + "plt.xlim(0.01, 30)\n", + "plt.ylim(7e0, 1e4)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Mass Sensitivity" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [], + "source": [ + "def differential_rate_mw_mass(m, tcad = 0.07, tobs= 3, finite=True):\n", + " # return s.ffp.differential_rate_mw_mass(m, tcad=tcad, tobs=tobs, finite=finite, epsabs=0, epsrel=1e-1)\n", + " return s.ffp.differential_rate_mw_mass(m, tcad=tcad, tobs=tobs, finite=finite, efficiency=s.efficiency)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 40/40 [01:03<00:00, 1.58s/it]\n" + ] + } + ], + "source": [ + "m_arr = np.logspace(-10, 0, 40)\n", + "with Pool() as pool:\n", + " func = functools.partial(differential_rate_mw_mass, tcad=s.cadence, tobs=s.obs_time, finite=True)\n", + " d_gamma_d_ms = list(tqdm(pool.imap(func, m_arr), total=len(m_arr)))\n", + "d_gamma_d_ms = np.array(d_gamma_d_ms)" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.loglog(m_arr/3e-6, d_gamma_d_ms, label=f'Finite Source, Roman, p={p}', color='k')\n", + "\n", + "plt.ylim(1e-18, 1e-7)\n", + "plt.xlim(np.min(m_arr)/3e-6, 1e1)\n", + "\n", + "plt.xlabel(\"Mass [$M_{\\oplus}$]\")\n", + "plt.ylabel(r\"$d\\Gamma/dM$ [events/star/hr/mass]\")\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [], + "source": [ + "roman_diff_rate_mw_interp_log = interp1d(np.log10(m_arr), np.log10(d_gamma_d_ms))\n", + "def diff_rates_m_mw_interp(m):\n", + " return 10**roman_diff_rate_mw_interp_log(np.log10(m))\n", + "roman_rates = np.array([quad(diff_rates_m_mw_interp, m_arr[i],m_arr[i+1])[0] for i in range(len(m_arr)-1)])\n", + "\n", + "mean_values = (m_arr[:-1] + m_arr[1:]) / 2\n", + "rate_interp_log = interp1d(np.log10(mean_values), np.log10(roman_rates))\n", + "\n", + "def roman_rates_interp(m):\n", + " return 10**rate_interp_log(np.log10(m))" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(mean_values/3e-6, roman_rates, label=f'Finite Source, Roman, p={p}')\n", + "\n", + "plt.xscale('log')\n", + "plt.xlabel(\"Mass [$M_{\\oplus}$]\")\n", + "plt.ylabel(r\"$\\Gamma(M)/\\Gamma_{\\rm{tot}}$ [events/star/hr]\")\n", + "# plt.title('MW lens w finite-source effects, M31 source')\n", + "plt.legend(loc='upper left')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Comparison with Popsycle" + ] + }, + { + "attachments": { + "image.png": { + "image/png": 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6UGl4ZWxYRGltZW5zaW9uPgogICAgICAgICA8ZXhpZjpVc2VyQ29tbWVudD5TY3JlZW5zaG90PC9leGlmOlVzZXJDb21tZW50PgogICAgICA8L3JkZjpEZXNjcmlwdGlvbj4KICAgPC9yZGY6UkRGPgo8L3g6eG1wbWV0YT4Kps8zAQAAABxpRE9UAAAAAgAAAAAAAABcAAAAKAAAAFwAAABcAACtMLD3QW0AAEAASURBVHgB7H0J2C5Fce4cdhBw44BXwQ1Zc+GA4IqioInijiaRRTHgDnGLWxLvBQSM3og+4oJB1CgoccEdXKKJCggalSVoVEA2QYFoEmXfzneru/qtfqt75j/nfHBY63tg6q233u6aqenumX/+Od8/zCY+S1teCOaWkqOwI0qDpbndjjvuOBuGQf9fNMwe/KAHtRnMf+QjHpl1++67r3GpE8owS/nPPvsn1uci6XOvvfZSPYTZav7aUUIQeDZ5Oz/+8bNFwyLrN+3zOuusM/vG177uWvHxH3rYYbOU345P2jzjmc90x49Mj3jEI2aDaBehFiXXHnvsMbviiisgs1zXX3/97Oijj56td491pd2i2eINF8+uvPLKfPwQ69Esne2///51H0Sb9ueqq0QLodnKvPCF+9Q2ok/7ddONN/VtpElqddjbDiv6WqOLf/UridQ+DQp1+eWXuf7TPr3hja+3PWGQapPyt/VPtfnPy6+wblObVP/rr78h1+Ye666b6794sdbGhKJ5/OMf1+Vf5x5rz77x9a9zaocPO+xtXZtnPv0Z1i3yo5EeuW4zB5htHX+HyTjJY4TO/8MfvoMcCxqgx9ns5JNPma0rx4Uxlepynw02MAE3Sa0f+UidX3nOoLsmf2p89tlnu/G31157W58M0IVxQjDX5ndRCLOtx299uZ4qywhdGCcEc5HfKlPqQtUBzDbqj3K0Fat+j7o2QjAX46/WTOtC1QHMNsYfytFWrPo96toIwVyMv1ozrQtVBzDbGH8oR1ux6veoayMEczH+as20LlQdwGxj/KEcbcWq36OujRDMxfirNdO6UHUAs43xh3K0Fat+j7o2QjAX46/WTOtC1QHMNsYfytFWrPo96toIwVyMv1ozrQtVBzDb22f8Ddi9Lj2fOYjIdnqK1SGAI5zNHvTAB+rDxPIAcr311pvdfPNN1or7e8Qj5eGjPEhaRR4Onvb900zDIOl/+MN/swdPSX/UUUcVCfLCTtE1jvxfOeEr+cFT6i8//Cz7u8Yaa8w++tGPzq6++urcWdLfeOMNsze/+c1uH/AgbLXVVp8dfPBBs89//vOzk046SXdA0p1w4omj+tRurbXWmu25556zQw87ZPa2t71t9oqXv3y28SYbmz7Fv/Odb1t+7bRu0wNI5B/KA9vzzz+/CnC4sHIMz3rWs6iNPhz+9W8ulVNootpe0Ote9zrT42Hyz3/+c6fh83/GGWdkvT4wlf6lnvvtu1/R1xypnieccIL2XWrO9bfaHHrI7O/+7u9mL3v5y2abdLX5TtPv0tlXviLns5xL7k/P50fc+bzhhnI+R/Kvttpqcj4PlvP5uXw+MV6aA+/yc/wTxxxrY6ueJ6nHfvvNfv+H38t8uHmW6vXSl710ttaaa7rxB/23vvWtWdrPQw87dPaNb9SHw/mBfTrONGdOO7XZj+r+28Sc6Y5n4vzjeDo9AtnivMLW/C4s5xyfrr/Ij9KM2q5eToW6wpYgXNiov1Wtq2eMP6vNGOjq5UQYYLAlCBc2xp9VratnjD+rzRjo6uVEGGCwJQgXNsafVa2rZ4w/q80Y6OrlRBhgsCUIFzbGn1Wtq2eMP6vNGOjq5UQYYLAlCBc2xp9VratnjD+rzRjo6uVEGGCwJQgXNsafVa2rZ4w/q80Y6OrlRBhgsCUIF3Yljr+B+rZds7zC8Nt0zJu42WfjSfzd755kD+PwgCjZ9JBxLP+O6a1OiaeHcJtvvvnsF+XBHXWZH0I9+clPsn4f/ZjHyJuWN1r6tl9uC1HmRgIHv/Wtlj/tR30gt2iWHsg97rE7zZ7ylKfM7ne/jSy/6cp+Z788oHvSk57sdsc/ANWHme1bmjh+9Lva6qvNvvilL2PXO3vNtdfONrjvff1+S/70gDZ9Rg5z9gd583X99dbPbTj/Ow8/3Prn83/jTTfPNttsM61Hqks5viOPPLLvvyTUB7H17dZ0PA+St5XT26Zj9d9jj+fXmpb+uf6oR7Ylnh56fvFLX7J9zoAO+K1vPaT2mc4P/b/G6mvMdtppp9lTn/LU2UYb+fOZxp/ly1iP40m7PsnnEo/Saawhkpve3l1THphyfuBVV1k1jy34aZxt/Udbj+ZPD12TLj3kxSfNmVwn4bfYcovZz3/mH3an/OnB7ZOe5OfMjTfQnCmd8a7z+WceeWG7WEM0bm6WuZEAU5G/VqMiVL3aLtYQjRv1lwrkmowUhqkYf7UaFdVxB9TFGqJxY/zF+Iv5l2bByMRgKtafWo2K8vLhNl2sIRo3t83cSICpqH+tRkWu9LWWTDfixq1tRgJMRf1rNSriQivuYg3RuFF/qUCuyUhhmIrxV6tRUYy/tgJdbRqicWP+3cXnn72xqgOlPf3sMy7DaoTCneLP5GHoh44+anbA/gfIP6Vfu7ypt8ge/qSHVukh0/6vfKXojp796pL6z8nxVQB4yLS2tH/LW/529sUvfnF22qmnzY499tjZdtttZw+oNtlkk9lFF17kdkp3TbZj+zj524Aq/uu//mvrHw/Y0v6kB5B4gJV9eUPw7W9/e3kA5h8gPupRj5wd8Z4j8gO1snPZLJUHXAcedGDtPz3oKw/xkAPHnuz9H3B/9xDN+pLdPfmkk2fvfe97Z9v8723yvnE79LXXXnvOjvrQUbPf/Oay3PTL8hAyPXB96EMfWveB8qeHfPvss8/swx8+On/twAUXXjA74oj3zNLXObTHn3Kkh4D7/sW+s49+5KOzK/7zitlN8gD2o//4jzM8JM0PYMuDSdRum223mb3rXe+anXfuuXY46WSlC9lBBx5U92ukNugj1+b+qTafd30kR8+kbMsp/eu/SeeTzh0db65Z8dMbn+94+ztG8z/qUY+avfeI984uu0zriL4pOWdWXPJD894jjtC+J/Knfdn0oZvOTj311PpGNmlR/3TuLvnVJeh29ogd04PVOv7WWrvMmS/InJE3WHXObG9jd5MHypy5CHMG3TQ76w6wjenhoWW1qrPtSLOpt6HtZFln3JhxEYxQ6ENDsh3TLMf81wzcmHHkzxUYKQkKriHZjmmi/mUAtaYtFvuMY/zF+JMKjAwJkBqS7Zgm5l878SYmFBeP8YQ806qz7UizuP6NFSUVr+XZZxz1p6FWigGjdbLtSNli/I0VJdWv5dlnXGo9QqEPDcl2TBPrLwZrY9tisc846p8rMFISDDgNyXZME+OvGXdw22KxzzjGX4w/qcDIkACZH6zyb2U0QC0yVD9tKVJwz6Siv+c97ykPcerDHjzA0gdjhS8PjY495pjUTD5LZ4+Q74vcYPEG8s/Unz17mDxk0oeO1E9ps8pqq85e/1evyw//0FZts807zvvp41PHf8op35s9R/Zh0SrpzcU+/xZbbTn71jf/eXatvC2aji0d15ZbbDE75JBDZuedd15NMpH/+M9+drbLLrvkB5NdTeQY11//nrNDDzl0dvU1V+W+cje111z/P/vT59lDQHvgWOrj+pR9w1cSLNl223o8Y9rEZX7R7KfyPbYfOPL9VS/92ENg0VjOcvzf+uY3ZzfIVySsv/76y3X+Dz/8nflhaj0sPcrjP3e81GbX2VpryNuZZV/y+Cn5U/+HHHro7JqrtTbafuIcl/qfcsops2c/59n5KybsfOa+y7nbcsvZN9P5vO4ay7nl5nI+D32rnM9f5npzBsU9U4+loJIf/PHHHz9be+119LxR/vved4PZQfLAPeXHZ/dnP8f2Bce/8xN2nl166aVu/qWvAli8wX1nz5avdtj0YTJnyvmw40x1k/9XzXPmr2TO1LpNjf+8D/nw6pH2R9sz2HezSTJ5MU+htg/yM1Q/bSnijl9zcdSyayOXg2KpTxdrsuQutd8mEvlzGbU2WlHGVONcuIlY1D/GX8y/drJUP08bnTt5GtVIrD+5FryuMG4K5cYYxQTG+s91a0ZZDmm8icT4i/GXZg9NJsYNHfOPCuJhrD88bppVJoc03kRi/cnDSGujI4oxjbFcuImYyGL8cW1ysWrxckjjTSTGX66S1kYLxriWMBfqbrb+L0qHnx+55OeG+pQnQ3kKIw+0lvuTntqkT27iHOV524UTQfnP/cU5wz3vec9ho/ttlJtdedWVwwW/vGA475fnDRdeeOEg/xR62Hbb7YYl2287rLfuelnj+nQOZ1bchZv87fGff8H5w7+f+e/DxRdfNFx/ww3D/TbacNh6622GHXZ8uOZeOhsOf/e7BnlIOuy4ww76CCtFJurX5r/2mmuHk7930nDmGWcNq6y62rDFZpsNW2219fCQhz54WHXVVXWnl7F1fTqnb9iFE0H1b4+/76FnXJ/OWYY2hRfILw+th5NPOXk4K9dmlUG+GmLYequthgc/5KFSm1Wsc5fSOSYx8Mvzzx/OOuvM4ZKLfyXn88Zhow03HP5om62HHR6+oz59vHnp8O53v3vYZdddhh3S+VyOj0vpnL5xCv/ud78dTv/Rj4ezf/LTYc011hg22+Jhwy5P3HVYXTDXXy56w4lfPXE45+fnDPe9732Gx++887Dpppt2nf7iHJ0z99tI5owkkD9wNpx/4fnDL8/75XDhRRdKjjWHJUuW5P/XXU/njA3PtEN30PPfHegE4UrunL5BF47jj/Mf4z8tAnUpTtPGFoh+DrWMm1POaZUjl8eYfzH/Yv7lCWdTIU2bmH/94jHBuCXHOX2DLmxFj/XPSpHKFuOvHzwTjBtTzukbdGEreow/K0UqW4y/fvBMMG5MOadv0IWt6DH+rBSpbDH++sEzwbgx5Zy+QRe2ot91xt+i9IzZj598lKUaVIJCczSJ1J8IoqYSnsmNs/xTZeo34fRMt7Ia5AwJp49oJ1IoPRHUxrlt5OdKl3pF/WP8xfyzVUmXC8yN5CWcPrH+xPrrhkEeFWmjo6WMGR46plBRXH/i+lPvdDBQ4v6HR4VOGdQmeQmnT6y/sf66YZBHRdroaCljhoeOKVQU6y/PNBQq1h+uig4Z1CZ5CadPrD+x/rhhkEdF2uhoKWOGh44pVBTrD880FCrWH66KDhnUJnkJp0+sP3e29UfeWJXXLeXE5dPJ51TPaN5O0KRYGLr2yUkfGSv60WjeOiHiWLyqv6LIdZuc9In8Wge+NLhClbCYCboKloFc+6i/VivGXxk1Ojry1g2UOqgm6CpYBnLtk5M+UX+tQ8z/PBjyGHEDpZRHzARdBctArn1y0ifGn9Yhxl8eDHmMuIFSyiNmgq6CZSDXPjnpE+NP6xDjLw+GPEbcQCnlETNBV8EykGufnPSJ8ad1iPGXB0MeI26glPKImaCrYBnItU9O+sT40zrE+MuDIY8RN1BKecRM0FWwDOTaJyd9YvxpHWL85cGQx4gbKKU8YiboKlgGcu2Tkz4x/rQOK2n86VcBpBSu+iUnjHxbwCB/gShp0uutdk4QX8DWbsd+O0ENq5DIAiN/1D/GX8y/WH9i/Y3rT1x/+zuESabeVsT9R/92BJWtForIAuP+K+6/4v4r7r/i/ivuv+L+K+6/+juESabeVsT9V9x/1X+z1Q2YOlC6kPwhqDvd/dfIVwGU48oHk/D4Y9SF6pAf0qI8o81LazGTD2ojfyn9aAEXfA4e9cfgmxq+Mf7y4Ir5F+vP1I1yrL+x/uZLT1x/6GpisFxBzHcgBfEZLV9cf+L6IwMjrr9x/ZVhML5EyODIgdFo3P/L+jpeGQnE+ourz0SR4vqTCxPrb6y/soiMriPx808pzGh14vqzjOuPfRVAXonLeltXZb1G1dLWBTmPxhG9ttUAwrDWryPIIQitp4oHEhZisxpAGLYJF5eiBKH1VPFAwkJsVgMIwzbh4lKUILSeKh5IWIjNagBh2CZcXIoShNZTxQMJC7FZDSAM24SLS1GC0HqqeCBhITarAYRhm3BxKUoQWk8VDyQsxGY1gDBsEy4uRQlC66nigYSF2KwGEIZtwsWlKEFoPVU8kLAQm9UAwrBNuLgUJQitp4oHEhZisxpAGLYJF5eiBKH1VPFAwkJsVgMIwzbh4lKUILSeKh5IWIjNagBh2CZcXIoShNZTxQMJC7FZDSAM24SLS1GC0HqqeCBhITarAYRhm3BxKUoQWk8VDyQsxGY1gDBsEy4uRQlC66nigYSF2KwGEIZtwsWlKEFoPVU8kLAQm9UAwrBNuLgUJQitp4oHEhZisxpAGLYJF5eiBKH1VPFAwkJsVgMIwzbh4lKUILSeKh5IWIjNagBh2CZcXIoShNZTxQMJC7FZDSAM24SLS1GC0HqqeCBhITarAYRhm3BxKUoQWk8VDyQsxGY1gDBsEy4uRQlC66nigYSF2KwGEIZtwsWlKEFoPVU8kLAQm9UAwrBNuLgUJQitp4oHEhZisxpAGLYJF5eiBKH1VPFAwkJsVgMIwzbh4lKUILSeKh5IWIjNagBh2CZcXIoShNZTxQMJC7FZDSAM24SLS1GC0HqqeCBhITarAYRhm3BxKUoQWk8VDyQsxGY1gDBsEy4uRQlC66nigYSF2KwGEIZtwsWlKEFoPVU8kLAQm9UAwrBNuLgUJQitp4oHEhZisxpAGLYJF5eiBKH1VPFAwkJsVgMIwzbh4lKUILSeKh5IWIjNagBh2CZcXIoShNZTxQMJC7FZDSAM24SLS1GC0HqqeCBhITarAYRhm3BxKUoQWk8VDyQsxGY1gDBsEy4uRQlC66nigYSF2KwGEIZtwsWlKEFoPVU8kLAQm9UAwrBNuLgUJQitp4oHEhZisxpAGLYJF5eiBKH1VPFAwkJsVt5Ntj9eBRGsiXqgkmlhH2mZ6hsCgO3TGqOSaWEfaZnqGwKAtWw9UMm0sI+0TPUNAcD2aY1RybSwj7RM9Q0BwFq2HqhkWthHWqb6hgBg+7TGqGRa2EdapvqGAGAtWw9UMi3sIy1TfUMAsH1aY1QyLewjLVN9QwCwlq0HKpkW9pGWqb4hANg+rTEqmRb2kZapviEAWMvWA5VMC/tIy1TfEABsn9YYlUwL+0jLVN8QAKxl64FKpoV9pGWqbwgAtk9rjEqmhX2kZapvCADWsvVAJdPCPtIy1TcEANunNUYl08I+0jLVNwQAa9l6oJJpYR9pmeobAoDt0xqjkmlhH2mZ6hsCgLVsPVDJtLCPtEz1DQHA9mmNUcm0sI+0TPUNAcBath6oZFrYR1qm+oYAYPu0xqhkWthHWqb6hgBgLVsPVDIt7CMtU31DALB9WmNUMi3sIy1TfUMAsJatByqZFvaRlqm+IQDYPq0xKpkW9pGWqb4hAFjL1gOVTAv7SMtU3xAAbJ/WGJVMC/tIy1TfEACsZeuBSqaFfaRlqm8IALZPa4xKpoV9pGWqbwgA1rL1QCXTwj7SMtU3BADbpzVGJdPCPtIy1TcEAGvZeqCSaWEfaZnqGwKA7dMao5JpYR9pmeobAoC1bD1QybSwj7RM9Q0BwPZpjVHJtLCPtEz1DQHAWrYeqGRa2EdapvqGAGD7tMaoZFrYR1qm+oYAYC1bD1QyLewjLVN9QwCwfVpjVDIt7CMtU31DALCWrQcqmRb2kZapviEA2D6tMSqZFvaRlqm+IQBYy9YDlUwLc2QmH98UDUCn91UF49/sI6wsvUaNAKzvFZ5FMzAPYeo1xdIn8kf9ZSzE+LOpgEnnZw88WJ097daiGZhHMnDJpk/Mv5h/MhZi/tlUiPmnKwNWCu95VmN1a9EMzKsC+0dGKZY+sf7E+iNjIdYfmwqx/ujK4FcPeLCqabcWzcA8koFLNn1i/Yn1R8ZCrD82FWL90ZUBK4X3PKuxurVoBuZVQdz/SC3KmpurEutvrL8yT+5k6++imbyyOiwam+A01wWOK8DCNm1S1+lL76W1++JekaNO2vF4e+5tXAEWlltIjsgf9Y/xF/Mv1p9Yf+VmLV2J8kcuF3H90dvXuP7KiIj7n1QEnRsT24k7rNJuIhr3X3H/FfdfMkfi55/4+S/uP+wKE/dfcf8pgyGPh3zrMH7/wLci4wqwsNwinv/E86/b7/mjfMdqKj/dVptjwI/WEQ/K1FH+46HFmhQCIzxwYXMMePGIB2Xkj/rH+EsXFB0HNlUwQYzwwIXNMeDFIx6UyAtrUgiM8MCFzTHgxSMelMgLa1IIjPDAhc0x4MUjHpTIC2tSCIzwwIXNMeDFIx6UyAtrUgiM8MCFzTHgxSMelMgLa1IIjPDAhc0x4MUjHpTIC2tSCIzwwIXNMeDFIx6UyAtrUgiM8MCFzTHgxSMelMgLa1IIjPDAhc0x4MUjHpTIC2tSCIzwwIXNMeDFIx6UyAtrUgiM8MCFzTHgxSMelMgLa1IIjPDAhc0x4MUjHpTIC2tSCIzwwIXNMeDFIx6UyAtrUgiM8MCFzTHgxSMelMgLa1IIjPDAhc0x4MUjHpTIC2tSCIzwwIXNMeDFIx6UyAtrUgiM8MCFzTHgxSMelMgLa1IIjPDAhc0x4MUjHpTIC2tSCIzwwIXNMeDFIx6UyAtrUgiM8MCFzTHgxSMelMgLa1IIjPDAhc0x4MUjHpTIC2tSCIzwwIXNMeDFIx6UyAtrUgiM8MCFzTHgxSMelMgLa1IIjPDAhc0x4MUjHpTIC2tSCIzwwIXNMeDFIx6UyAtrUgiM8MCFzTHgxSMelMgLa1IIjPDAhc0x4MUjHpTIC2tSCIzwwIXNMeDFIx6UyAtrUgiM8MCFzTHgxSMelMgLa1IIjPDAhc0x4MUjHpTIC2tSCIzwwIXNMeDFIx6UyAtrUgiM8MCFzTHgxSMelMgLa1IIjPDAhc0x4MUjHpTIC2tSCIzwwIXNMeDFIx6UyAtrUgiM8MCFzTHgxSMelMibbXmuanIVQaq049DaWiwL1L4yko29LTTS1OUqccdF/uap2UgRHaXVS1RGson6SwldjarjxlqhHRfjL8ZffgunjpmFkY6epMlINjH/Yv7F+jM+a9xaWySOi/U31t9Yf8cnzyirsyeFMpJNXH/i+hPXn9HJonOkbKGI60+aL2UdietvXH/j+oulYTlsmTeizEg2cf29619/8xurdXTUQYB1tAwHk5DC3ozDgJl8WlU7s37GAfVu0EBuwh7W+MxxoOt8wSCpSWfQQOSXCnA1ov56jc014cLQiFK4YJDUpDNoIOvYi/pH/fMb2jIyFv7XzDxqaLh1kHQGDcT4kwpwNWL+xfyL+VfmBE+MhdaVLsYEdWLQQBayF/Mv5l/Mv5h/eU3ghYGXlG7V6IJEUCcGDXQ9xfoT60+sP7H+5BXCLxO0piS4YJC0pDNoIOvYi/Xnjrv+NA9W/RDgk0hnv0CNLqyprVp19kcaM8W49gSk0YU10OK4qjqj6pqQKcYmMKDRhTUmLlOrqjOqrgmZYmwCAxpdWGPiyC+lsN+6Cs51GykeU4xrJYE0urAG2hh/bbWyP1I8phjXSgJpdGENtFH/tlrZHykeU4xrJYE0urAG2qh/W63sjxSPKca1kkAaXVgDbdS/rVb2R4rHFONaSSCNLqyBNurfViv7I8VjinGtJJBGF9ZAG/Vvq5X9keIxxbhWEkijC2ugjfq31cr+SPGYYlwrCaTRhTXQRv3bamV/pHhMMa6VBNLowhpoo/5ttbI/UjymGNdKAml0YQ20Uf+2WtkfKR5TjGslgTS6sAbaqH9breyPFI8pxrWSQBpdWANt1L+tVvZHiscU41pJII1OaezB6pQgnRL94nFSGDSAbMVO8SmMGKw28V7pJpvIH/VPX/xOI8SgAR4wgqf4JEMMVpt6TzlEov5R/xh/NEMMGuAJI3iKTzLEYLWp95RDJOZfzL+YfzRDDBrgCSN4ik8yxGC1qfeUQyTmX8y/mH80Qwwa4AkjeIpPMsRgtan3lEMk5l/Mv5h/NEMMGuAJI3iKTzLEYLWp95RDJOZfzL+YfzRDDBrgCSN4ik8yxGC1qfeUQ+TOOP/kwepSOSb6xh07QgN8lA57BR6AFokLilO+WAKvL9eOnLDW3U5AVbbIt4z8OgCj/rkCbnDE+Iv5J2uc/Bfrj/7zibqWuokS66+Vw0AtVYO8Iq4/cf1JP4CUjxsc4sT9T6y/cf2J668sBemfD9ePWyji+mvlMFBL1SCviOtvXH/j+mtLi5sc4sT9R9x/xP3HbXb/YW+s0hU9X77qZaqi5rrWNrGwm9PCwlfLW2tCKuVq1opYnTE6bgItDZ8zg6tNPVOzVlS1BfkmFm5p+Gp5a00EQKVczVoRqzP2TSzc0vDV8taaCIBKuZq1IlZn7JtYuKXhq+WtNREAlXI1a0Wsztg3sXBLw1fLW2siACrlataKWJ2xb2LhloavlrfWRABUytWsFbE6Y9/Ewi0NXy1vrYkAqJSrWStidca+iYVbGr5a3loTAVApV7NWxOqMfRMLtzR8tby1JgKgUq5mrYjVGfsmFm5p+Gp5a00EQKVczVoRqzP2TSzc0vDV8taaCIBKuZq1IlZn7JtYuKXhq+WtNREAlXI1a0Wsztg3sXBLw1fLW2siACrlataKWJ2xb2LhloavlrfWRABUytWsFbE6Y9/Ewi0NXy1vrYkAqJSrWStidca+iYVbGr5a3loTAVApV7NWxOqMfRMLtzR8tby1JgKgUq5mrYjVGfsmFm5p+Gp5a00EQKVczVoRqzP2TSzc0vDV8taaCIBKuZq1IlZn7JtYuKXhq+WtNREAlXI1a0Wsztg3sXBLw1fLW2siACrlataKWJ2xb2LhloavlrfWRABUytWsFbE6Y9/Ewi0NXy1vrYkAqJSrWStidca+iYVbGr5a3loTAVApV7NWxOqMfRMLtzR8tby1JgKgUq5mrYjVGfsmFm5p+Gp5a00EQKVczVoRqzP2TSzc0vDV8taaCIBKuZq1IlZn7JtYuKXhq+WtNREAlXI1a0Wsztg3sXBLw1fLW2siACrlataKWJ2xb2LhloavlrfWRABUytWsFbE6Y9/Ewi0NXy1vrYkAqJSrWStidca+iYVbGr5a3loTAVApV7NWxOqMfRMLtzR8tby1JgKgUq5mrYjVGfsmFm5p+Gp5a00EQKVczVoRqzP2TSzc0vDV8taaCIBKuZq1IlZn7JtYuKXhq+WtNREAlXI1a0Wsztg3sXBLw1fLW2siACrlataKWJ2xb2LhloavlrfWRABUytWsFbE6Y9/Ewi0NXy1vrYkAqJSrWStidca+iYVbGr5a3loTAVApV7NWxOqMfRMLtzR8tby1JgKgUq5mrYjVGfsmFs70LH/0t6iuC2qkkLYUyzuU/fQ4XPq2X5mkPEIs9CfQyq7gLbLIT79zpFoqpC3Fov5SjFyPGH8x/2L9ifW3XFSySWuDrAvumsRxxXH9ieu//hGKuP7aOz90j6GQthSL+w8pRq5H3H/E/YdcT9y1Jo2NuP74msT1t61A3H/E/Ufcf6TLaNx/xf1XuYDSPaZC2lLsjnr/SW+sNsu92/kUY6JMAaasOU0Pixso3ZBv7RrQSZiI/HkJ4pJY+aL+tjxbfQzE+MuloHrYuGlAJ2Ei5l/MP7kF4CFhwyfWn1h/yu2hjQ8Dsf7mUlA9bN40oJMwEetvrL+x/sb1R9YM9yA3rSFx/Y3rb1x/87SwS6aBuP/IpaB6NLcd5nYSJuL+I+4/4v5jwfuP9MKqTiadOH76lOs2k1lMRIbqp2361Gt91QHBqpK3GuG4YQPQE5Gh+mmbPpFf61CuItlBxWChqLbWEPUzrQGoichQ/bRNH7SP/LVOQLBaKd5qhOOGDUBPRIbqp236RP21DjH+6jgBgkWFqtUIxw0bgJqIDNVP2/SJ8ad1iPFXxwkQLCpUrUY4btgA1ERkqH7apk+MP61DjL86ToBgUaFqNcJxwwagJiJD9dM2fWL8aR1i/NVxAgSLClWrEY4bNgA1ERmqn7bpE+NP6xDjr44TIFhUqFqNcNywAaiJyFD9tE2fGH9ahxh/dZwAwaJC1WqE44YNQE1EhuqnbfrE+NM6xPir4wQIFhWqViMcN2wAaiIyVD9t0yeNv/zGqskM5LicFyHKN61byEDRwLT8qA+yWG94HGivkT/qH+MvzwXMHPfiOOZesiYo5KgPslhvRvoQQdQ/FxSV6+pcyt3x1oDPB8hivYn6ozxWUyFi/MX4kwrY0DCAQVJsy4/6IIv1hpKgTxHE+MvFQOXqiYj6uwpYgTB2xNaf8MrYgqhYb2L8oTwobNz/x/oT62+eDTY1DGCSFNvyoz7IYr2J9QflQWlj/Yn1J9afWH+kArY0GMAiUWzD168CoEWEm0APyzHgGqsIMdgc6cJERH5bxFCzZFEhWI4B11hFiMHmSBcmIuof9S8XEYyZZDFCYDkGXGMVIQabI12YiBh/Mf5i/GG6mMUMgbUAgRqriMIZ5kgXJiLmX8y/mH/ttInrn1QkPR+mlWKyRgupYv2ROnZFJCLW31h/Y/2dXFtopkxqYv2ZrlKOdGEiYv2J9SfWn8m1hWbKpIbXn/pgleVtL61v2j7QMyauQEQzucso3wRTeaC2k9aHbuR2b1JqbQRE/qh/jL+Yf+6VIlog2kWk9U3aB3rGxBWIKNa/WP/j+sev9NXp0V3WJydVH+gZ6hcw5l+sP3H9j+t/XP+xInrbLqKtb+o+0DMmrkBEcf8T9z9x/xP3P3VRINQuIq1v0j7QMyauQESx/sT6szLXH/9gNQ84/Q11HoUTv8WwEUqjWCERSQQ327RJlBxO4RHOAQ3KgI/8ttxG/Ud/i8TjBffGOpaaEQU327SJ8RfzL9afWH9lIZBFFstDXhh0cYjrT1x/cUmRASIjZOS3+DxeINax1IwouNmmTVx/4voT15+4/shCENefuP7qMEiXBf3IJSJ+/s1To9RDChLXX4yO3ub7Chs6sqQQkWi42aZN3H/E/Ufcf9wW9x/6YBUTME893XiKPIIknw+iL1jqxVPkEST5fBB9wVIvniKPIMnng+gLlnrxFHkEST4fRF+w1IunyCNI8vkg+oKlXjxFHkGSzwfRFyz14inyCJJ8Poi+YKkXT5FHkOTzQfQFS714ijyCJJ8Poi9Y6sVT5BEk+XwQfcFSL54ijyDJ54PoC5Z68RR5BEk+H0RfsNSLp8gjSPL5IPqCpV48RR5Bks8H0Rcs9eIp8giSfD6IvmCpF0+RR5Dk80H0BUu9eIo8giSfD6IvWOrFU+QRJPl8EH3BUi+eIo8gyeeD6AuWevEUeQRJPh9EX7DUi6fII0jy+SD6gqVePEUeQZLPB9EXLPXiKfIIknw+iL5gqRdPkUeQ5PNB9AVLvXiKPIIknw+iL1jqxVPkEST5fBB9wVIvniKPIMnng+gLlnrxFHkEST4fRF+w1IunyCNI8vkg+oKlXjxFHkGSzwfRFyz14inyCJJ8Poi+YKkXT5FHkOTzQfQFS714ijyCJJ8Poi9Y6sVT5BEk+XwQfcFSL54ijyDJ54PoC5Z68RR5BEk+H0RfsNSLp8gjSPL5IPqCpV48RR5Bks8H0Rcs9eIp8giSfD6IvmCpF0+RR5Dk80H0BUu9eIo8giSfD6IvWOrFU+QRJPl8EH3BUi+eIo8gyTvo31i18EjrESrLM09Bgwb8L05Kjhq1pARGoiNU5JcK5LpQcQwaiPpLmdJbwLUiHudx5DasLIERKkcyT0GDBixvZSI/18KVvhbV01MNMk9Bgwai/lLJGP9+ztXR4YeZeiPRESprM09BgwZi/MX4i/knY6DOCI91zvGWlYUfoXIk8xQ0aMDyVibycy248opHoiNU1F8qkOtCxTFoIMaflCnuP/yaU0eHzji/HYmOULlN5ilo0ECMvxh/Mf9kDNQZ4bGfe8ljZYmOUDmSeQoaNGC9VWY0Q0mUDCsLPULlSOYpaNCA9VaZ0QwlUTKsLPQIlSOZp6BBA9ZbZUYzlETJsLLQI1SOZJ6CBg1Yb5UZzVASJcPKQo9QOZJ5ChYoD1aXzmby7w/wxj1JSo81DceAYU3cAVYwhnAm/+Iu8kf9dTyMj5DpG7MxPUZW3+OYOsZfzL9Yf2L96VcLrCNYNWATDwwLbW9ZwRjKWH9i/Yn1J9YfXQ/GV4i4/5l6MDdWL6ysfUXH1LH+xvob62+sv/1qgXUEqwZs4oFhoe0tKxhDGetPrD+x/tzV1h96Y7VM+mx4AWA+LQYcw+Kw/NZaC3DfJ4N+s8BUNZ9RBpY/KSmttYDIrzfsWp5SmWysSlF/Ny5Tpbg2WrkV2VprATH+YvylHxj1U0ZGNjZKJMR8UnJMW67I1loLiPEX4y/GH2YPzzObJXW+GWUADVfIWmsBMf9i/sX8w/QpMyMbmyUx/3C9t5IYQOFWyFprAbH+xPoT6w+mT5kZ2dgsifUn1h8ZAzJLbEgYwMBZIWutBcT6e9ddf+nBqh8fNgBANwOB/66DaqkFYLbyGxkZmHUBTx1CgM572ymE4IEY+WVQlqJqrahigNlG/WP8xfyL9YfXWCwQzHncKYSI9bfeCMT1J64/cf3VNUPXCloxALON+4+4/4j7j7j/4PsLLBDMedwphIj7j7j/wDyK+6+4/4r7r7j/ShXQawVdMQCzvX3uP+3BapeeVy5/zctep3cad2Q10tEgUnGa28/IX1fOWkFDXb0skgDqCluCcGFNF/Xv6hnjL8YfrtxubqnTjRenwQSDjfmXK4BywMb6I2XRHxW68RTrT6w/sf64VZWdbr5w0NYVW2g0ChfWdHH/09Uz1p9Yf2L9casKO9184aCtK7bQxPqTKoBywBoR6283nmL9jfU31l+3qrLTzRcO2rpiC41G4cKa7tZffxalr1htXieldJIwhcsJtv1xB+H32UKNuHGzLHMjAaYif9Q/xh8evuAxjM0yAzxn6uSysJvTYGP+ST27wtX7v1SnWH9i/Yn1J9afvBbIBm/MJJ8/3TLSEI2bm2ZuJMBUrD+x/sT6E+tPWjB4XeC1ZzTWiBs3N8/cSICpWH9i/Yn1J9af0TWGFiFeM+riUgVdXEKZGwkwFetPrD93xvXH3ljVKcBDOjHsM1a1CxcKbVQtW/73G9BM/jamzcE+48ifKzBSkqi/FsW2Mf76pwEx/6QmY49I2gnFPuNYf2L9kQqMDAmQGpJtrD+x/rRLTay/sf7G9adcRNm0Cyr7jEubESrWXy2KbeP6E9efuP7wIiNLhMyOWH99TbLXLqjsM471d7RcRGq1ZBvr791y/c0PVvm3AnpjkkZIWY3zCLFhkocO1unKeiaLeJOE6afQ0cUsrXP1qXzkz8WSekX98xDKgyxv8nOMxPnRprGsHX/SUYaU6GL8aZmabcy/WH/wW8FYf9N6kj6x/uYy5OVV19imMmW11VjWxvpbx40WpJYl1SauP1wVw3H9ietPXH/4rjZNjbj+5AUiX170GpO26cOVWuSuOapTFW1zQ9nE+ktFqTDW31h/Y/3lVSXNjVh/8wqRl1RdV/MyWisT9/+5FlqbXCu6Fukbq03x8j+PTUqMNW214NYV3Tl9sy4c+aXWuQh6aroC9TVsGdfEOa2ye3SiROSXQpXbtGXUr69oU9NltO/CiYj6R/1j/MX6h6UgLTJx/U1VWK6PW1Od0zfvwrH+xvUnrr8yUeL+x5aCtGzE+tsvnhOMW1Od0zfowlb0GH9WilS2GH/94Jlg3JhyTt+gC1vRY/xZKVLZYvz1g2eCcWPKOX2DLmxFj/FnpUhluxOPv0XyFavpZWX65EMrPg2BQnM0idSfCKJXCc/kxrX+bVD0MvYVtIih92RlDydSKD0RjPxaASlP1D/GX8w/rHRlvZBFhUeFTRZb0ZMufWL9ifXXDYM8KtJGR1IZTxhWFi1A+Fh/eaahUDH/uCo6WlCb5CWcPrH+xPrjhkEeFWmjo6WMGR46plBRrD8801CoWH+4KjpkUJvkJZw+sf7E+uOGQR4VaaOjpYwZHjqmUFGsPzzTUKhYf7gqOmRQm+QlnD6x/sT644ZBHhVpo6OljBkeOqZQ0W29/sgbq0tld+hJuYzh9jO1v61uynftk5M+lkejeeuEKkvbCboKloFc++SkT+TXOvDQdIUqYTETdBUsA7n2UX+tVoy/Mmp0dOStGyh1UE3QVbAM5NonJ32i/lqHmP95MOQx4gZKKY+YCboKloFc++SkT4w/rUOMvzwY8hhxA6WUR8wEXQXLQK59ctInxp/WIcZfHgx5jLiBUsojZoKugmUg1z456RPjT+sQ4y8PhjxG3EAp5REzQVfBMpBrn5z0ifGndYjxlwdDHiNuoJTyiJmgq2AZyLVPTvrE+NM6xPjLgyGPETdQSnnETNBVsAzk2icnfWL8aR1W0virf7zKVb/khMGXPYtm7Lt4IRuztdux385QiyokssDILxNBZkLUP8afDANbE/uZ0jF1WsX86387SuWqhSKywFh/Yv2J9TeuP3H9jetvXH/j/qO/Q5hk6m1F3H/F/Vf9N2PdgKkDpQvZH1uK609cf+L6E9effoWYZOqyEtef2/L6M/JVAOUc5YcJCY8/xqknbOScpiA+o81LazGTD2ojfyn9aAEX/i1G1B+jb2L4xvjLhYn5F+vP1I1arL+x/uZLT1x/6sWkonIFqQSjuP7WaowOn7j+xvVXBkbcf8T9hwyD8SVCBkcOjEbj5x9ZYccrI4G4/sT1BxUYHSRx/Y3rrwyMuP6utOuvfRVAnodlvmFOJuupOiHzqu6D1EwDCMOawBHkEITWU8UDCQuxWQ0gDNuEi0tRgtB6qnggYSE2qwGEYZtwcSlKEFpPFQ8kLMRmNYAwbBMuLkUJQuup4oGEhdisBhCGbcLFpShBaD1VPJCwEJvVAMKwTbi4FCUIraeKBxIWYrMaQBi2CReXogSh9VTxQMJCbFYDCMM24eJSlCC0nioeSFiIzWoAYdgmXFyKEoTWU8UDCQuxWQ0gDNuEi0tRgtB6qnggYSE2qwGEYZtwcSlKEFpPFQ8kLMRmNYAwbBMuLkUJQuup4oGEhdisBhCGbcLFpShBaD1VPJCwEJvVAMKwTbi4FCUIraeKBxIWYrMaQBi2CReXogSh9VTxQMJCbFYDCMM24eJSlCC0nioeSFiIzWoAYdgmXFyKFnjzzTcPD3/4DsNVV/1heNWrXzO89jWv8Vo0gbWOATSAMCyi/qaGogSh9VTxQMJCbFYDCMM24eJSlCC0nioeSFiIzWoAYdgmXFyKEoTWU8UDCQuxWQ0gDNuEi0tRgtB6qnggYSE2qwGEYZtwcSlKEFpPFQ8kLMRmNYAwbBMuLkUJpuDSpTcP223/8OGqK68cXiNz4DWvebWw+gNR3H9LKZp6pZrpRwMIwyLq21GUILSeKh5IWIjNagBh2CZcXIoShNZTxQMJC7FZDSAM24SLS1GC0HqqeCBhITarAYRhm3BxKUoQWk8VDyQsxGY1gDBsEy4uRQlC66nigYSF2KwGEIZtwsWlKEFoPVU8kLAQm9UAwrBNuLgUJQitp4oHEhZisxpAGLYJF5eiBKH1VPFAwkJsVgMIwzbh4lKUILSeKh5IWIjNagBh2CZcXIoShNZTxQMJC7FZDSAM24SLS1GC0HqqeCBhITarAYRhm3BxKUoQWk8VDyQsxGY1gDBsEy4uRQlC66nigYSF2KwGEIZtwsWlKEFoPVU8kLAQm9UAwrBNuLgUJQitp4oHEhZisxpAGLYJF5eiBKH1VPFAwkJsVgMIwzbh4lKUILSeKh5IWIjNyrux9serIII1UQ9UMi3sIy1TfUMAsH1aY1QyLewjLVN9QwCwlq0HKpkW9pGWqb4hANg+rTEqmRb2kZapviEAWMvWA5VMC/tIy1TfEABsn9YYlUwL+0jLVN8QAKxl64FKpoV9pGWqbwgAtk9rjEqmhX2kZapvCADWsvVAJdPCPtIy1TcEANunNUYl08I+0jLVNwQAa9l6oJJpYR9pmeobAoDt0xqjkmlhH2mZ6hsCgLVsPVDJtLCPtEz1DQHA9mmNUcm0sI+0TPUNAcBath6oZFrYR1qm+oYAYPu0xqhkWthHWqb6hgBgLVsPVDIbbpIHoMd87Jjh3PPOHd7+9rebsO+iZapvCEDsd777nWGXXXbJz46O+cQnhxfsvZf1nYBK0WAYzjnnnOFHP/pR/v/yyy8fHvTgBw9bbbXlsPvuuw/r3mNda1E7qW0NAcBWcYdUMi3sIy1TfUMAsF3WSqhkWthHWqb6hgBga7oOqWRa2EdapvqGAGC7rJVQybSwj7RM9Q0BwNZ0HVKJbm++6ebhYx//2HDeeefZHOi7aJnqGwKAlazf/c53hifusqvMg9lw7Cc+Mey99955X1RCwrKH55wr8+CHPxp+KHPhiisuHx4s82DLLdI8eM6w7rrr0XHUtoYAYEndQpVMC/tIy1TfEABsm5R8lUwL+0jLVN8QACzla6FKpoV9pGWqbwgAtk1KvkqmhX2kZapvCACW8rVQJdPCPtIy1TcEANsmJV8l08I+0jLVNwQAS/laqJJpYR9pmeobAoBtk5KvkmlhH2mZ6hsCgKV8LVTJtLCPtEz1DQHAtknJV8m0sI+0TPUNAcBSvhaqZFrYR1qm+oYAYNuk5KtkWthHWqb6hgBgKV8LVTIt7CMtU31DALBtUvJVMi3sIy1TfUMAsJSvhSqZFvaRlqm+IQDYNin5KpkW9pGWqb4hAFjK10KVTAv7SMtU3xAAbJuUfJVMC/tIy1TfEAAs5WuhSqaFOTKTj2+IBqDlN+TpRxn8m32Elc0//Gh7BGB9r/AsmoF5CIsFl2z6RP6ov4yFGH82FTDpMFN0nsCDVbbdWjQD80gGLtn0ifkX80/GQsw/mwp39/l38+zm4RPHHDu89dBDhwvOv2BYst22w5lnnFHXChQorx9+g9VFL/PmkWg2vPa1rxuOOOKIYfXVV5MHRP853Ote9xwdf5dfccXwkhe/ZDjhxK/kKUqdZHjve997ePOb35z/R8wyZmAewmLBJZs+sf7lmsT8t6GQhsRS+aXCx489djjs0MOG8y/45bBkW5kDZ54l4wXjJw+ebmPRDMwjHbg0D14r8+C9Og8ul3lw73u57qG84j+vGF68337DCSecSP1UyPMAbRaaf/VAUx8x/mP8y6iJ+W9TAZc3m0t5qsGDrfOPkUUzMI8k4JJNn5h/Mf9kLMT8s6kQ809XBqwU3vOsxurWohmYVwV2/5Ji6RPrzzzrz6KZvLI6LBorsJYV23EFWFio1aZntovSH/2Qk+W+OFbkWCemb/CavsRNPfkP8sI20cgf9Y/xJ5Mi5l+sP/SHE2L9jeuPXEzz9TRfOsevn3w1TYr0MOm44z45HCoPk84997y8riTNkiV4qJS8+pn3+v/gBz9kuOiiC4c/+ZOnDN/4xtdzh+0efvOb3xpe8IK98oNXyyhrvXy3ker1tiPjgw86cDjw4LfW+weRxP3Hip//uP8ahvQ1Fccdd1yZA+fY0FuyZIk8WD3T/ATmHf/opM6DPxm+/o1v1PELgVzXdR7srfNgYvznqSCbgw48aDj44IPT7UCMf6lHHs95Yckbq+oYGFeAhfUtb+n5594mMogkn91iucUtH3/cW+Qv44WLoj+8CjNRnfj5M37+jJ8/8/yIn7/i5698vU3rpyyXd/X7b/k5JF3+6aJhjoFUigU/UKaO0joCa40gMMIDFzbHgBePeFAiL6xJITDCAxc2x4AXj3hQIi+sSSEwwgMXNseAF494UCIvrEkhMMIDFzbHgBePeFAiL6xJITDCAxc2x4AXj3hQIi+sSSEwwgMXNseAF494UCIvrEkhMMIDFzbHgBePeFAiL6xJITDCAxc2x4AXj3hQIi+sSSEwwgMXNseAF494UCIvrEkhMMIDFzbHgBePeFAiL6xJITDCAxc2x4AXj3hQIi+sSSEwwgMXNseAF494UCIvrEkhMMIDFzbHgBePeFAiL6xJITDCAxc2x4AXj3hQIi+sSSEwwgMXNseAF494UCIvrEkhMMIDFzbHQBZ/+tOfHg46+KDhFz//hTXWH+kXDdvKG6tnnXGmXfdvSf7Tf3z6sOOOO+QfVY888sjhla98peUDuOiii4Zt5Q3BK//wB9EtGjbfcvNhkwdsPPzqV5cO5/3yHHkAvBTSbNMt7XuOeM/w6len76jsP+5IzTHQN2gYKHHcsCaDwAgPXNgcA1484kGJvLAmhcAID1zYHANePOJBibywJoXACA9c2BwDXjziQYm8sCaFwAgPXNgcAyb+9GdkDsjDyV/8QucAxn96MWHJtkuGM2QO3Fr3v6ef/uNhhx12zLk/KPPgFSPz4GKZB9tI3j9c+fv8w8rmm285bLzJ/YdLZB788pfn5YfAqYM0/vVXq4PMgyO6eeCO1BwDdvxTAErUHdb0EBjhgQubY8CLRzwokRfWpBAY4YELm2PAi0c8KJEX1qQQGOGBC5tjwItHPCiRF9akEBjhgQubY8CLRzwokRfWpBAY4YELm2PAi0c8KJEX1qQQGOGBC5tjwItHPCiRF9akEBjhgQubY8CLRzwokRfWpBAY4YELm2PAi0c8KJEX1qQQGOGBC5tjwItHPCiRF9akEBjhgQubY8CLRzwokRfWpBAY4YELm2PAi0c8KJEX1qQQGOGBC5tjwItHPCiRF9akEBjhgQubY8CLRzwokRfWpBAY4YELm2PAi0c8KJEX1qQQGOGBC5tjwItHPCiRF9akEBjhgQubY8CLRzwokRfWpBAY4YELm2PAi0c8KJEX1qQQGOGBC5tjwItHPCiRN9vyXNXkKoJUacehtbVYFqh9ZSQbe1o90tTlKnHHRX59ej1Su3FKq5diGckm6k+/SGiK5sZaiTkuxl+Mv/xb6GbgTLo6elI4I9nE/Iv5Z7+9bcaNW2tKzHG30/rzwhfsPWzzv7cZnv3sZw//+u3vDAf85f66d7Jz2223nTxUSl8FMPbRvU+RjGSz0Pj/vwceKP+8+lB5QLXK8KtLLhkecP//pe2wXbp02PVJT8rfw7rlllsOR/3DUcPOO+9sif/7v/97ePOb3jQc/eEP6yBLSeWzxhprDJdceumw+L4bLJhf91a32rLsd8lvT48RXKatfWUkm4WOX9W1TerecbfT+U+P5nJB78b5X/iCFw5/9Ed/NDxn9+fKHPiX4YADDtCTI5XZbnuZA6ePzYF6LjOSzfKc/wMPOng49BCZB6sM8gsDnQdc//SgdNdddx2+I3Mxz4MPyTx4vJ8Hb3rzm4YPHy3zgD5rrC7z4NeXDIs3WExshbq3dZ9TxHF34/PP9a8VWxaqtcxINstz/nXx0r6j/qkapY4x/qQYU3cPY2Ox1E1CGckmxh/PLl8zrVatWYo6LsZfjL+Yf37SLOjVuZSRbO4O609+Y7XWpRYB1zEsK9CQwn7GQMHk6jfx4VYTkkyTzqCBVhH5pTT5DQmpzMLf5uBrOH0GSGfQQNRfKsDVwDU2cxzoCrxgkNSkM2gg6h/1j/EnYwCXmZh/t8/6f83VVw/rr7+e/NXytDYNw7ZLtpM3VuWhEk5MZnnj1zCOeDwbttlm2+EnP/nJ8OhHPXo47funSdi3/c53vzvs8sQnDhtuuHj44Q9/PDzwgZuowsvyd7Sm76jUndL9PPKD8gbsK/o3YOs+UCcGDWQZezH+bp/xh2F2e9b/mmuuHu5xj/QHoXRE5O9YPct/FcDouKrkCKqjK/0S4yc/lXnw6EcNp532fdNCcZLMgyfIPFi8ePHwox/LPNh4k9H5l76j9bWvfY22l8Kl+8QPHPlBeRP8FdZnBehdGIMGsoy927P+aWci/913/sX5j/Ef8z/mfzz/KJdqvjDnKzVvFgySkHQGDWQdezH/pudf82CV7qekjFxEqn6BGl1YU1u16uyPNGaKce0JSKMLa6DFsVR1RtU1IVOMTWBAowtrTFxqWdUZVdeETDE2gQGNLqwxceSXUthvvQXnuo0UjynGtZJAGl1YA22Mv7Za2R8pHlOMayWBNLqwBtqof1ut7I8UjynGtZJAGl1YA23Uv61W9keKxxTjWkkgjS6sgfbWr/9aa605XH9zOWjkAABAAElEQVT9DTnBwm+s6j60e5v9ZufTX1bfbLPN0kI9vOPt7xjeJH94Cg/RcCQvf/nLh6M/9KHhc1/4/LD7c3afvEdZKm+2Pv7xjx9OPfXU3EdK9epXvyr/MaDU11h+4xOQT7N7StpWowtrTFz6quqMqmtCphibwIBGF9aYOPJLKW7t6/9aa60tc+D6XOTpN1b1HLRnK/sjJy9R6Z/xb/YwmQfyecc73uH++FomZfPyl79s+NCHjh4+//kvDLvv/hzQnU3zYGeZB9+TeZA+aT69Sr4SI30lwNgv43mXGOfGbqPRhTW1QavO/khjphjXnoA0urAGWszlqs6ouiZkirEJDGh0YY2JY/5JKW7t+ed7rLUeQ+3Zyv7IyWOKcd+nRhfW1FatOvsjjZliXHsC0ujCGmhj/LfVyv5I8ZhiXCsJpNGFNdBG/dtqZX+keEwxrpUE0ujCGmij/m21sj9SPKYY10oCaXRhDbR3v/rbg9XpAuEP35DCoIFawYym+BREDFabek85RPSLj0lh0AA3EDzFJxlisNrUe8ohEvn1W7r0tpxKaLXkeiU8Xc0a8xrvcX8x/mL8xfjjH0rq9JqaNVM8z02v8V7Mv1qBWH/G1p+11157uO766/K/mFiyZHv5KoDTa8nqACUOECMNVvnkvevww4c3vvGN+eHPz+V7LDfffHNhff0f8tCHDPdc717DmWelf3bt+9Ce0lb5I+XNvAMOkK8sSE+T5N8f7bXXnsMnP/kJcTJRrBj5TPWUImPHn7uYbDXdW83kNd7TfdJt5L+j1j/9cuGGG26QNycXyddhpO9YxVcBTJ/N5Tn/aR68QeZB+vziFz8fNtt8Cxlu1KfAhz70ocP691xP/mDWWTpM3Ja0wqc3tQ/Y/y8FJX4Y9t57r+ETn8A8yBT3roRtY/zdUcdfHUt2sgrw599HEYPVqPe4RZz/OP9x/92uv3H9T2vE1KoxxXMbr/FerD+1ArH+3hnXX3mwmv49H70XYiPcQD3HDfIKDIAickFxyhcr4PXh2pUT0lxt+NrAkFdEfh2AUf9cATc4xInxl6d5zD8pAy13tODoxLFxY8DWmxZ4Raw/sf6kH0DKxw0Oce5i689aa61V39bL37F6utxm37Lj32mnx8obpqcNW2+99fBT+WfQ7r5EvPQX2V/y0pcOz//zPx+e+tSnNrf1/fw76eSThic84Qn5nKTT8fo3vGF459+/M+a/DdI0Vt1AJbfhk7T5eEVffzcZ7mLjP5ViTZkDN+CNVXmwenr641WokSuOOCtw/Ds9bqfh1NNOHbbeKs2Dn6JHs2kevFTmwZ/JPNhN5oF+put/8knfHXZ+whP1wie78vrXv344/PB3Wjs3z2y/DRRdb7xiOn8eVCtw/FpE33ufnYZqDkb+W7r+ljKW4RD1d/NiZAD6CsX4i/F3y+5/Yv5JBWxSGRiZeUp5Rcy/mH93nPlnb6zSiC7zG6epGbA8zP3ItkhLw1fLW2siACrlataKWJ2xb2LhloavlrfWRABUytWsFbE6Y9/Ewi0NXy1vrYkAqJSrWStidca+iYVbGr5a3loTAVApV7NWxOqMfRMLtzR8tby1JgKgUq5mrYjVGfsmFm5p+Gp5a00EQKVczVoRqzP2TSzc0vDV8taaCIBKuZq1IlZn7JtYuKXhq+WtNREAlXI1a0Wsztg3sXBLw1fLW2siACrlataKWJ2xb2LhloavlrfWRABUytWsFbE6Y9/Ewi0NXy1vrYkAqJSrWStidca+iYVbGr5a3loTAVApV7NWxOqMfRMLtzR8tby1JgKgUq5mrYjVGfsmFm5p+Gp5a00EQKVczVoRqzP2TSzc0vDV8taaCIBKuZq1IlZn7JtYuKXhq+WtNREAlXI1a0WsTg9W00Ol1Gq77fwbq76n2jNnbjWXXfab4QEP2Fi+t3Xp8Ld/+7fDYW87TJ6vpMdU4/nzvrSdlB0EfdJJ6cHqE3Mfqaf3vv/9w1+mN1ilX2jEKR/P1KwVQWnWN5mkIVPLW2siACrlataKWJ2xb2LhloavlrfWRABUytWsFbE6Y9/Ewi0NXy1vrYkAqJSrWStidca+iYVbGr5a3loTAVApV7NWxOqE115zreG6G9JXAfg3Vn1PtWfO3Gqguuyyy2QePKDMg7cMb3vbobJn9AMD70TfSY629HdlHuwiv2AA/74PvH/Yf/8D8uyq3SGqTD3qiqq2IN/Ewi0NXy1vrYkAqJSrWStidca+iYVbGr5a3loTAVApV7NWxOqMfRMLtzR8tby1JgKgUq5mrYjVGfsmFm5p+Gp5a00EQKVczVoRqzP2TSzc0vDV8taaCIBKuZq1IlZn7JtYuKXhq+WtNREAlXI1a0Wsztg3sXBLw1fLW2siACrlataKWJ2xb2LhloavlrfWRABUytWsFbE6Y9/Ewi0NXy1vrYkAqJSrWStidca+iYVbGr5a3loTAVApV7NWxOqMfRMLtzR8tby1JgKgUq5mrYjVGfsmFm5p+Gp5a00EQKVczVoRqzP2TSzc0vDV8taaCIBKuZq1IlZn7JtYuKXhq+WtNREAlXI1a0Wsztg3sXBLw1fLW2siACrlataKWJ2xb2LhloavlrfWRABUytWsFbE6Y9/Ewi0NXy1vrYkAqJSrWStidca+iYVbGr5a3loTAVApV7NWxOqMfRMLZ3qWP3JrKD95uC6okULaUizvUPZzB80v+SRQflNtWUcA3qKL/HQLTTVWSFuKRf2lGLkeMf6atUFmWqqN1EX+W+gT8y/Wv5Wx/qd/xrrF5lvG+FvJ8+/3//P74drrrhvut9H9mlqvvPm/1jryxup15fsll8g/gz5T/nBPXod5pVn+/EcffXT+3sjU+oc//OGw4w472rFot7R1eVIOaWR/xaDm/8d//Oiw334vLrHZcN655w6bPuxhVVDQbbn+/UK+4mCLLbZw+3Bb5neJb4fjX5n5dR5cO9zvfjIP8ieNjZV3/eve2j69/QNuK57/aPne1Fe84uX5DzP9SObBDjvuWKZVHuSKFdIxChwZ/3liyPH/48c/Nuy3775FPwznyjx4GM2DGH8oX9x/2yN8GmM08uYaf3H/aVNvFMT8i/m3Mu6/sf7H/BuddkbG/Iv5d2vPP3pj1caZArqw9kR5BNppkpIej1rcQJ7ro9+ar0nqlpooyUTkz7eAXBKrXNTfbo+tPgZi/OVSUD1s3DSgkzAR8y/mn/wIxkPCho+Ojf+Qv+y+gzwcu+jii4aNNtpQouXpYm4z2tB6yKCTMBHjj8ff4e86fPjc5z43nPo9+UNNUubbYv1bU/5wz43pjVXJl/94VXqoVE7cPPl3e9puwze+9vVh4002GS6++OKyTpcuS782hnCPwUPCpPX6t88L9xmO/cSxOfJE+Qvq3/72t2/X9T/9lfcdH76jHN+Fw4bpIfhCn+7YmIjxz+MfZTxcvpv08587fjhFvk5iFfegkWqXIflo3NpOwoTWf530xuqN5ZcL6esw8hyo40+fQqWOqW2G5Dd5d9ttt+HrX//GsMnGDxgu/tWvKMptVuz877PPC4djj5XvVJW5+sSdZR5851+l37IeUwYHOV0OMLFi+Vfk+G0fOF3klwpwQaL+Y/Nfx84tm38x/koFeLhliokYfzH+Fr7/z1cXGzIGbtf7rzqMaX9swjegkzAR4z/G/zLGf3phVYeUDhw/fMrtF5N1dFKz2jaR9ZatNgSC1ca8rX2gvWkNQE9EhuqnbfqgPd+MoAWsKnlb+0B70xqAnogM1U/b9EH7yF/rBASrleKtRjhu2AD0RGSoftqmT9Rf6xDjr44TIFhUqFqNcNywAaiJyFD9tE2fu/v4S69b5b/I/r3vDUd/+MPDi1/8YvuxkCqnxbJtrSHqZ1oDEBORofppmz5of3cZ/zs/4fHDKSefMnzwqKOGl73sZbfJ8ae/iF6/CiD94Z4z8zmep/5/+P3vhw03XDxcf+ON8sem/nJ4//vel8+jnWUDmZYNERmqn7bpk87/H678w3B/eXPx6muuzf6JX//asNtT2u9lzfKyqX1g/CgjYQPQE5Gh+mmbPmjPDZdKJzs/Tv46u8yJD5c5oWpsax9or4zEDXht9nKstk0c2nNDdAGLnqqtfaC9aQ1ATUSG6qdt+qD9bZ3/8TvvLPPg5OGoMg9Wdv615eswrivfsbq9PFj9cfnjVfMe/+//cOWwePHi4Sb5g1gHvOovh/e+931aSyq3VpiIDNVP2/Th/H+QPu//v/6XzINrcuyrX5N5YN/LmqmyqX2gvTISNgA9ERmqn7bpg/bcEC1gVcnb2gfam9YA9ERkqH7apg/aR/5aJyBYrRRvNcJxwwagJyJD9dM2faL+WocYf3WcAMGiQtVqhOOGDUBNRIbqp236xPjTOsT4q+MECBYVqlYjHDdsAGoiMlQ/bdMnxp/W4e48/vIbqzZMDJTC4B1pcS1kAMWDVmwdUdSA42hcrDcjbUSQ3jyQD1pWUPqFMUEhRn2QxXpDSdCHCCJ/LgYqF/WXcvA4L0Olq4sVDGMptQNZrDcx/lAeq6kQMf9yNaw0BlCkYlt+1AdZrDe32vj7yEc+OrzkJfJPsGWifOpT/zQ8//nPL33fNvl9wbg+d838T3va04avydue97n3vYef/fw/5CHlRiPnMp2OW+/4l/nPoJGqlF/XR5DFFvNPn/rUsNeee4lyNvzLv/zLsOuuu2qrW3D/8T55KPXq17wm97nnnnsOx33yuFv1+HFYZnFoIBr/Ix+WOfHSNCeGMif2sHNkUgOlk1tw/OPXIyQo1hvbn5JdfBHcidbfpz/96cNXv/bV4d73vs/w85/9TN4KTm/Kl08+1nLAKM4tPH43B5bI9wyfeTqyjdRSQsuYf5/6p08Ne+61Z+4jz4NddrnF9X+f/JLi1a9+dUo+7Lnn84fjjvsnwf7AURXQeQfS5k52/t19mR1UOZrsgyzWGytLHD9qJgW6E83/OP82ckfGssSWsf7E/E814hrG+I/5H8+f0owol0oCNE+coPDWgH2QxXrT930nvv+oXwVAB8Ela0rBIcPQ9JUxiZ6YKiwBIiK/3cTUqtWKUqU4nHGNVdSKcqQLExH1j/qXm2geOxghsBwDrrGKEIPNkS5MRIy/u8T4++1vfyvfIbnV8N//9bthy622Gn4iXwmwyiqrxPovE8F+rsGkqLcrstDLXJhz/n3/B98fHvPox+ReX/DCvYdjj5F/9tt8bu35p3+86gY5gtmwRP4i+pnyxmq9WjXJEaHprgol0oP3z3zmM8N97nOf4YrLLx9WXW016wBNYC1AoMYU/e53Mvbke0x/K3bDDTcc0j/B32CDxSut/m1+2rUMf/u73w6bb76FzIn/ynMifU3GIpkTrl634PwvK3/aiaypwrxfd7X8P5B58Og8DxYNL3zB3sMxx+rXQKys419b3tq+7vrrci3z12GckR6s8k/mpcxilqf+z99jj+GzMg/uLfPg8suvGFZbbVVth/a1O4fqaa0oCdI8SN/n+ztZixcv3nD46dk/GRbLm+H1Q/oYf3Ovv7WKFdUaK8qRLkxE1D/qP+f1v46iipZ3/N1009Lh4/IdzOn7x9/+jne0zW7R+sOd5T3rdo+IGP8x/m+H8W/X6xh/Mf5uxfFXH6x2qyARtP4RK7AP9IxvkT0RzeSnTPui9FbSdtL6pu8DPWPiCkQU+aP+Mf7GfwjspvXkpOoDPVOnnaGYf3fZ9ec1r33t8N4jjsin+rPHf3b40+f9qZ12A3H+b/Xz/8xnPnM48YQTZerOhh/96Efy/bY7WLk7cCvUP30VwPXpoZIsIdsv2W44vfwz6BWd/9fLP6VO//z5yquuHNJ3on784x/vbysmO+0DiXnZS1+a/7n92uusPXz7X789POpRj/IlENFtef1/rcyJIzAnPqtz4rbM7w9evAWO/8YbbxrOkT+wdf+N7z/c+1731qZ9mUuXfaBnuuwL5s/qtpPWty77wDPyPDghK370Y5kHDx+ZB9Ls1qj/WmutOVwv/2x/kXzRcPrlwhkyB/o9sp2tYCT/9TfIPJCH/1deeZXMgxcOHz9G5gE+k532AWZe+jKZB0d/eFh7bZkH8v3CNg9G8iNVttxJIlrfxH2gZ0xcgYhujfqP7Vjkt0cFtd4tivrf7cffTbObhk8e88nhkEMPGc4//3z65agMlnYStb6Npz7QMyauQEQx/+Pn7/j5O37+rosCoXYRaX2T9oGeMXEFIlrZ649/sJoT0oV54im+7SEdhUIikghutmmTqPqlrwjngAblgCO/TbeovwwGq4YNEwM0gBQSUcZTfoEk02kT4y/mX6w/eHOymS15vb4l6+8l8sdWNt9ss+E6eUiwXXrY9uPT5c08mb8x/2QdW7nrT3qwuePDH57XuN2e/rT8kHVlXn/5+yW32257ebAq59oS5t0o5z0vupPH/9UTTxye8YxnpLuC4fOf//zw7N2fk5fs3MMc178TvnLC8KznPDvn/uxnPjs870+fd7uOv0suvWR42KYPkwdwMie2XzL8+MdnDKukI8S0KKXS45Vd1ZCycxx/7hh9YoKPzL/LLr9sOO/8Xw6XypxNP1if84tzhzPPPHP46c/+Y7hRHhamB8GvftWrpDvZoakP+pe4QiJSG7jZpk2iVu76m77rd4cddxhmS2fD03aTefDVE8t+3Pr515I/XpXOa6q5vrXdvLG6Asf/1RO/Ojz9GU/PNfrCF74wPOc5z5H9lg7mrP9XvvKV4dnPenZu/pk8D56b+17Z9V/e8Xd7j//IX6dnHhhpI8Pttlp/ov63T/1vunnp8E/ytTiHHnbocO555+pOyKlP92v5F0O30fUnzv/tc/5j/V+59x9x/aP7xRW4/8nXoLvQ9UcfrKIA+eh04ynyCJJ8Poi+YKkXT5FHkOTzQfQFS714ijyCJJ8Poi9Y6sVT5BEk+XwQfcFSL54ijyDJR+HZ8k/PTvrud/LbTD85++xhDflBZOuttxxeKG8mPe5xj6tXlpE+PUUewdGkK0KiL1hq6ynyCJJ8Poi+YKkXT5FHkOTzQfQFS714ijyCJJ8Poi9Y6sVT5BEk+XwQfcFSL54ijyDJ54PoC5Z68RR5BEk+H0RfsNSLp8gjSPIM93/lK4cP/sM/ZPyVL395SG+PLfhBX7Ak9hR5BEnewec+97nDZZddLnxqoLc76aZyGJZmL6G3vOX/DE+Th5D2AEg4fHwa8ggmbfrbj/vuu+9wzjnn5N41G3pJWWb5qxBOOeUUkNWiL9gaaXaJBARJnuGf/9mfDZ89/viMTzvtNPln0Y9uJd5HX7AU9RR5Ba61tjxUuo7+Inp5Y5W6WDaUvvJbdR/+yLDOPdYefvufv81v16WGlNF7PuBy/FT+if1jHvtYeevvyvzW9Kvyd0s6iXfQFyxFPUUeQZJPQsyJNBK+9OWvDM985jOqFn3B1shcx0/NlwlfsPfewyePk++dzR/Zu/TgP+1H+Xz/Bz8YHvXIRxaPdpAgtHNb9AVLHXmKPIIkd/DPZB4cn+fBouG0006dngfoC5Z68RR5BN13rMofr0oPJlbog77EvvTl+nbpOuusM6SvU1lL3jJNY0Y/EIpHENHWpq9feWyeB1fJPHjPMDkP0BcsdeQp8giSfD6IvmCpF0+RR5Dk80H0BUu9eIo8giSfD6IvWOrFU+QRJPl8EH3BUi+eIo8gyeeD6AuWevEUeQRJPh9EX7DUi6fII0jy+SD6gqVePEUeQZIvF/z0pz8zHHTQgcMv5F8k6J0JmqVfDG1bvs5HOZ+GPIJoPbdFX7DUkafII0jy+SD6gqVePEUeQZLPB9EXLPXiKfIIknw+iL5gqRdPkUeQ5PNB9AVLvXiKPIIknw+iL1jqxVPkEST5fBB9wVIvniKPIMnng+gLlnrxFHkEST4fRF+w1IunyCNI8vkg+oKlXjxFHkGS91B+MBz5LO25ESqLMk9Bgwbk5QH9wCaPcQmTGYmOULlB5ilo0IDlqkzk51pQ4QsciY5QU/X/9W9+M/uLF+0zW7Qov6YlzzMWzR74wAfO1rnHPdKwzP+/5f/+nz6tMSPJRqip/NpNbQAEm+KMVc/bkegIlVtknoIGDViuykR+rgVXXvFIdISK+ksFcl2oOAYN3Cbj74ILLpitvvrqeW4/dNNNsWP1FDlm5Y//t/zt38x222232brrrmtrDtaebOX1yre//e15//pNrZ3FRqgU+8D7j0wv+XQ5wG2++eazF+6zT+6Gu2BsOQyMREeo2qkG5eGt7ccfP/lJXW/cBWMTGhiJNtSaa65Rci2abb/dEmtpg60CQ9xFwjfffPNMvgM197P77rvXPqzFwlSO5k6Xzq644orZgx/84NzXoYcdJqGaDQg2tWOc+3GbkegIlZtknoIGl854Tmwqc8JCt1F+HBLywib+rLP/ffa5z31udpjUKl2XMV6Tvde97jlbKufGfbgxBzJPQYMG7Lgrs3Lrf7LMAxzPk5/85JWWf80115Txlr4IYJjJd6xqVewgDSwzf5oHG5V58Nw8D2pbK/UIlWOZr8HLL7989iCZB2mfdB7UWldV5ax/B1hZAiPUWH472AoMcReMXeraqaenGmSeggYNRP5SyVqROP9cCz/QkjcSHaFyu8xT0KAB660yoxloN1hZ6BFqRfPvtffe+Z7nZz/72ez9R36gXL/13sXWr9op7Y/AWyE/d8HYJ0reSHSEyu0yT0GDBqy3yoxmoN1gZaFHqMgvFch1oeIYNBD1HxlCtTol6MxIdITKTTJPQYMGov63Q/3ljZuls6X1HNhJ4POMMGyKAcOy3mNWMIYq8t+V6n/cccfN1ltvvXzRTi/dP//5fz679NJL88m+5pqrZvKmao6tssqi2cknnyx8nP+70vnHrK6W5zxjKOL83xXO/4tfvJ/dqP/N3/wNTq5YPueMIVm55//qq6+aPeUpT9F903+rbvu5//775/2bt/7nnntu+WVR+QUSP2CVXybJP0W/TY9/qRzIAx7wADu+k0/S9RWV9ucC7Hz1XyM/VMIPZdujsxHL55zxbHbSSSfZvh7z8Y/ntl6h3YGDTSxwsv/z+9/Ptt9+u9yXH3usbHHy02e+4+f82k+/fcmLX2LHp/uFVqxdefk1C+dkjH1YOnvsY3eyB5Hpl6D+IbevdW3V946Yt5yTMVS3/vGneXB/mQflH/3lcTa9t/Pn1weraQ4sqg9WcVhm+ZgZQ7B09t3vnmT1/9gxxyBgFq1gUwAYNnH/8z//I/Ng+zzm/trWYFYwTi3SZ/7j19a5kwU2nJMxmkT+ea8/Uf86DzCaestjjjGUd8/xd9VVV9UXX9IvhpboL0fHK6S14hgwLKrZW1YwhvLuWX8cfay/cf5j/efZUDEQVg3YxAPDQttbVjCGcuWMv/RPGcunJM2Gd4D5JOUY2i6/tdYCDOfmxcuGI8wnIceWPy+U1lqA4RwsXjYcYT4JOYZel99aawGGc/PiZcMR5pOQY8ufF0prLcBwDhYvG44wn4QcQ69qjz322Nkqq6xqP0we9rb05pD//ODf/s1+iHjYZpvNrr322iLgPJyD+STlmO97eTxrLcBwbli8bDjCfBJybHkyeo21FmA4S4qXDUeYT0KO+b6Xx7PWAgznhsXLhiPMJyHHliej11hrAYazpHjZcIT5JOSY73t5PGstwHBuWLxsOMJ8EnJseTJ6jbUWYDhLipcNR5hPQo75vpfHs9YCDOeGxcuGI8wnIcc0o/zT1Zl832CZ94tmZ5xxugZGttZagOGsK142HGE+CTk2kmCEkj/QkB9+4I1VvM32zGc9i9Sch3Mwn+TqL11682ynnXbKx4z+tH99yLpPeUuVEmRoPQswzJFMcqRgowy0XWf/ta99na2/8v2incZaCzA8R375wz2WZ3u8rddl6wnLKeB1f/VX8sPdMFt9tdVm//Vfv1NxFphKuIKNMpD1V1999exx5Ty86lWv6hM2jLUWYDhripcNR5hPQo41nZOb58TaZU7IMZ5x+pk5aq0FGOZIJjlSsFEGKNvyQ2stAPi+97mPncs0hj/wgfdTh0UFsbUiyQpA7sZwbs95OMJ8EnJsOrH8wbD0zR/5uHgeWGsBhufMjwer+Y3VJeWN1eld4iw5OfK/XuZBqvtqaR787r9Eh0hqUrBRBnJ/2Fx99TVlPVo0W2geWGsBhnMnxcuGI8wnIceQffmttRZgODcvXjYcYT4JObb8eaG01gIM52DxsuEI80nIMfS6/NZaCzCcmxcvG44wn4QcW/68UFprAYZzsHjZcIT5JOQYel1+a60FGM7Ni5cNR5hPQo4tf14orbUAwzlYvGw4wnwScgy9Lr+11gIM5+bFy4YjzCchx5Y/L5TWWkD65Wi6/ub1C//qJAtMVfMZZQBdrpC11gIM5x6Klw1HmE9Cjq1Qas6Su/E9cR6OMB/5o/48NmL8rWgFrHoCDPPMzCRHCjbKwIqm5iwrff7Tg1W/n93uC8Fc/5SdooDZyhNh37V4PdNKOoUQzEX+WjGtC1UHMNvbpv6f/GR6qLqK/YC2/wEHlBPW57/Pfe9tD1e//OWv1AMhhEMwSgjm4vxbZUpdqDqA2fb195Ws/TBCF8YJwVzU3ypzt6//Ow8/PN+gp4cDm8kvS2yg3EHG385PeIKtS/nhZ/lhIr3dNfXhsZ41zfj/f//vna7P9ANK7ltqkOw3v/WtUofbdv6deuqpuh/y5uFqq642+/WvL7XTUY+1O7oaKqhTNMe/xhp4kD7MluQHq9QCMNvp43/IQx4i+7po9qQn1a8twI6gC/jpIJhL68/1199gbyO/+MX7yr+8KQoIs/X5X/SiF83e9OY3WrdTAF1YXAjmkCrFlaeowMPfdbiNh/QLRP8hrQ+Y1ymEYG5Z+XNHuYE/fk1Qezr99NNtP9O4TT9kn3vOuS4X+qqtZF/IUdgRZYcXzm8H3ADqzXaZuWXlP/W0Mg/keFaVB5a//vWvKQP3RDTBTiEEcyk/Hqymum2//cjXYeQGyz5+nQeDmwecK++WEMzx8V8n8+CpT/2TfB73228/+RqHosxmPP9fpHnwpjfREXvIuZaVX7XUAjDb8fw+W++hC4sIwRwfv/IUBcw28qMcVktXycoy6toIwVzUv1ZL60LVAcz2jjv+8FUmaf3yXwXgz3U+UjkWHFby4/zf+c9/PYIe8bnO0Tj/Mf5pmMT8r8XQuUIzRqA9WO2Wf65c7cNQp7dIAkgCW4JwYU2XWhip4shfijZuuno5GWoJW4JwYanmXX8rUP+zzz7b/ZCx6aYPnV0jb1DUceDzL95gsf0w98Y36g+5tyS/O/Ts4ABhff562DUe+WsttISN3xS5q5eLoy1s1F9r2tShDkRBba0a39V3ZL10cbSFbfIabWD+/LJOpIep6eY8/f+Wt7xFkqFf2JWY3x03HORdKm9C/ld+Eyw9MEr/4y22tK+LF2+ABit0/PLHYeRtjzXsYTKOHTZ9R+XNN6XvqMR+lDRwYSl+a53/9HBxk002lnOhb84ecsghdoyW7lbIz8ff/lBWj9sS6T7AFXvWmWfamHnf+963QvVPnd14042zP5U3clPN99hjj/x9rQscaA4d9cF/yOf/S1/8cpFih0bm0wpc/2peRelt5s0329yOT+eExJAO1ohbN/9IorJjZU8p/9///d/bfqZapu9Cz59bcPwrkr/s0Qqf/26+oCPd+bwLOg90XTo0zQMcN6wRKWSk9rQcx89vbfs5gL5gy87BhZWcZzbzwA5jOfIn7c033TR73vPaeYAEsD7/P3zwqHzOv/SlL9Z0cxy/Ne4A8sL6/DVVjc9T/y6tEegXNvLnCqAcsPVECDJSi7Wc489K7gD6gi1BuLCUM/JbUW6z+tfvSU+/HKVfDKU9iPNfBu246cark+FcwpYgXNgY/1a1rp4x/qw2Y6CrlxNhgMGWIFzYGH9Wta6et3D8LUq1pT8/KvfW6adP+bEsI8EpLK/jpA/zJWymizVE4+Z2mRsJMBX579j1v/HGG/Nf3ZU3X/KYSefuhBNPGJ6+29PrIBKOz+kmm2wyXHLJJXkM7PTYnYZTvuf/YjZr4/zfsc9/PonN+c0cn8SxOLhGl9oyFef/jn3+v/Wtbw1//Md/nE5bnv9nnnXWsO222/qT2JzTLAbHJ7sEmLql5//Tn/70sMcee5ZsyFzttddcK3+Be61KFOXU9e8mWe8e86hHDz8+Q9a79KQ27Wz5pDbJlX96PBz/meMn1z/o83HywZYAU/Mc/+vf8Prh3e96d96/jTfeZLjggguHVVZdxa7ptzT/VVdeOay3/vp2/Ol8p/OOmuX++SCEaNzhrW9963DwwQdLm0XDxb+6eNh4442xW047evxS9H3322/4+Mc/luv/gQ98YFht9dWHVUqevCNLpfxCpPMj/0x6OO37pw2f/cynh/vf/wHDRRddNKy66qqap92xZl9H89ueVsDdfOtfZE48+Y+tPmed9e/DNttu4+uDPNywdMfUPPlzN9wJcpX+YZLkqX/ylOGfv/nP+TzIr9mH/fbbd/jwRz5q+7qy8+fH/27g+LFyS/K/4Y2vH94l8yBNxI032Xi48IIL8nnn4583/5UyB+55z/Vt/m8jc+DfZQ7YZznrf8jBMg/eevCwigzWiy6+KM8Dbrrw8cs82He/4WMf+1hOe2SZB/nk0fhPx5/O7TVXXzV8//s/GD7zmc/keXDhRRcOq62yagq7z/Lnr824TWYbonGrZCTA1MLHH/lRAa5ZLS6ifk6BzW26hl4b9b9j33+5cwkn2ea8Nm5WrrnWWsMN11+f8fbbbT+cLvc06cPaOP933fOfzzOf7Hz24/xzSWL8x/if7/mnjJz6sUfZhWKf8UjYOlGdbUeaTf82rBWzzzjy5wqMlASvZWhItmOayafxrZh9xrX+Bx54YFqH8v/pj0VstfVW+fSqWrZtM8md/3p4+aez8pDVRs6IeIGYhNq+s9oyq2BMcyseP+1ggZE/FcKqEPUfGSJjRalVqw1Yx7goRiiqvIhEMKa5Fcf/c5/7XJv/Gz9gY83J25Wcv1SCjCbE9kX7vEjfLJX15l73ql9B8v/Z+w6wu6pi7RNKCEVa6EFIVIpoACl2CAp6lQQE/WkqXikCgogFUJAuTQkI99F7FUQFBKUoTbiPGEDlqqgUKRZaKNJ7aClI9j9lvbNm1tr7SwJfqudA9rwz887MWmuvtb9z9tlnbznXQMete+6+u4rNBt94xUcdeZTdxmTTTTYNtz/Bw3JOP/2MuTr/J0y42vYJH5svu+zS3CVGr3H/X3vNNSH/CiusQCkxVhh5KdQ5//gKGW7b2zfd1LUNOWDyesYHfP7zob7/+wPspdymQf7eDGmOpL9Xr7X/aF3r2iKjXxMjVhthdAM2VmZJIPdRDV73uIMuZuXZtiUM/Z8yZUqzxOKL61imv8f88Mn88sEeD079XAeorOF1j2eu/oSrfyV9w/6/9NJ0pfIgjP815RoYTle/SxO1nbZtaTbGn3vBD43hubrp23kdlGSve6z9//z+cR3g+OPnPmP0n86g2rHriCOP0CRhW9bwuscpqMWEPqiLtm2cQRh/aUFb7lSwX59HqD/+/fmX1qoXaf35W5lsSA9/rBerX2Aep2QtJuRQF23bOP317/eGw+Vged3j/vjLCLQMCSacumjbxunPPzfnPCwHy+se9+ffjOYffeNOcy9MNB5AN4gCVS88ieW4Pk4qp40Eep539uvPr+P/zwcfbBYbuqh9yKULH5ozTj897lzW3P5/4skn0pt7/anqum9etz//+uvPzRmZLFmXw4YeOwpP//gjo6RjowPmcR5Cv/6c1eCrPf48RT+zX3SR/LC6nXbcwXIGIDuuo21EfLX1NaPP67EkblZZZVU5Pq27zjrN1ltvTV+/plsCpJ/KX3vttTNd/8833CD3a+QcSy+9dHPyKafYiQo5gUHHP5b33Xdf6P7sGv+u/j//wvMNXZFpx9mPbv9RHuTYJqfNzPhPmTK1efiRR5qfX3xxM+oNo/SYb2PZa/bcc8/mxhv+3Dz66KPN1GlTXXaCXNrVn3jPPRSvx//j6AGHM1OfE3Kaww4/XPahnDxy9f3446Q5/z1CHfbzPcDp6lhOFV6zUt+PouJokVtPLLqIjA/X33HHnar+h+KkDGb9Mrfo3EQ3/uDQ1eY2ltzWIUMWah577FEmg5Jg7qnzJFZtycEJMaWlPnizq/90ZTWtA90XvP/5hHfba2brT6YT0bwGLr7k582oUbQGivn3mT33aG6gY4SsgaluDXT0/x5eB5SD23b8ccelpgk5N1OGVza6jJLn8LQOdI7ji22VyFnOf67DvoV5HTzwT6sxs/0vWvaq9v8jjz7SPPPMM1abwZysHwonpV9f55cOR7GXxaX+wvOq9v/8Nv7PPP0MrfmHpNkLWv8XG0oPoEzHn/wAyqKXsutlE44/PCDZir2qFmgm2TwXjv/9+mkE+uPfn3/99WeHgxLMjr//cmJVj5DuMCkLsSw/sB5CglLHVW42+MN0RahzlJYQEpSSqZWkJFyiqMVgIIDYLZluIUGpYyq3BGq0QVXr4A4L0y0kKHVA5ZZAjTaoah3sLJ8/gK+Y4Ksg9EPycLpyafLkyS0DnINuueUW+SDBb/L5jf8aa6yZGj7r9XPWoiSnGqD9lVu4GmBQVV9iQMx0CwlKHVa5JVCjDapaB3dYmG4hQakDKrcEarRBVevgDgvTLSQodUDllkCNNqhqHdxhYbqFBKUOqNwSqNEGVa2DOyxMt5Cg1AGVWwI12qCqdXCHhekWEpQ6oHJLoEYbVLUOdpZzfnxOWP+nnnaaejl2gPjKLVwNMKiqqzYwZLqFJOXGm2/UYw19ePg8XeW411572bEHx59zzvlxCtRo2aZ4X3HK5CnNeuutJ/F83Pr+989s9tqb8+XjH+dcd911NZ+m8ykMV+mtqGvKAPGWyIGQk5SNN9rYPjQtudSSelxO/MBlm9SSTYaqWoW999rbxs5O2MiHsth/HoOjj3L3s7QMGfAJaYz/3/7295mqz9GTX3qpGTqU7m1LNeSEaUd98TEnfWiEHDdunDTi1fQ/t74dIec55+ia4P5x3dOwJlwYuGaSsZZN5/gbtwOEnEGpA+A+5Ktf1XFMbaVbOszR+tYy6bpsBr3+xhu7dbCkrgP0f1br4/gxM/Pv6KOOtvQlQP1TZB3oe6e//f2vQrOh0OEoQ0XXdYCTIvX665r/MidpX4+ldRDSW1G3FAOhtRnByHQLCUqmTZo0qVmHvuA6iB6aZVx2i6IWg4GQc3QhpltIUOqIyi2BGm1Q1Tq4w8J0CwlKHVC5JVCjDapaB3dYmG4hQakDKrcEarRBVevgDgvTLSQodUDllkCNNqhqHdxhYbqFBKUOqNwSqNEGVW2+SsfItddZu5n07KQ6kbMwPYUoMMWREgxctglXAwyqWgd3WJhuIUGpA+AethgdQ9Jntw3Tw/ckBwh1aKclhASlDqncbEitNyigju2yhJxBqSMqt9SSTd4VqtbBHZaQMyh1QOWWWrLp1+fhqgaoHsPSEkKCUjJb0svQy6Y//jxcMxi/ekSLkBnEV24ZetksMOPf0+74ofIWxkmPwgLU3OEEi9zx5rCJX1iVDh9rjJMehVLN2+EEi9z9+mmMZEyA46jocMHHGuOkRyFXZSyOnxHyBzP6d9jXDtMU5ZZiUenCCy/UD7z0oZM/oKxPP4WLr1RIjIxjYe9liuqRI6F+Q27UVzOyRGv0sca8mBuRyoU3cuAzSe5YCVmiVfnwscY46VEo1bwdTrDIHSslfmFVOnysMU56FEo1b4cTLHL366cxkjEBjqOiwwUfa4yTHoVSzdvhBIvcsVLiF1alw8ca46RHIVQ8NAUf2G+84UaxVxuKnR31uY42q6Vx5DuWrgJD2y77xWXN17/+ddX5hFs6/hx33PFFc1MusTJW/cAvH5hihzRbf/jD4h05cqTlR50DDjigyKcp5nT/5efy3M90bL70cn87APQxtkobDh9ruf9pGCCUmhgYo8oJFqXxlTbb/L0y/uvSB1ZfTeneMnvqW3tDq1xjAaV1qT1RBIblI05YEzT+N95Ia4Lsvv/GL6yzo//PPvts87OLftYcfczRDT8J/vjjj29uu/1WKbXJxhvZ/KAbwjZf+tKXyJ46KgzGSY9CvLxRc4cTLHLPrf7zFyqyBtJ6v+yyy6zVZau0uakvojCOffNepqgeORLqN+Ru6//mm9E6oPXJJxvzy1dgHHN7L8eoHjk5V0LkbqtfWpXtKzCOub2X+apHjuZxW3K/Qv9tt9120t+3jn5LcsZWqdFXYBxzey/zVY8czeO25I6VkCVaNQI+1hgnPQqlmrfDCRa5faWJ997TnH/B+c1BB365+cIXvwhWkimXaIynNxdddFGzx+57NCeddFLz4MMPB76yU4wP9Syy+/rWp8KqIT4J46RHYdnV3OEEi9zza/311x8tc3bbbbaVK6tTT9GzNDrzZ/+H0QM48f5gw7e9LfXJ95Bx7Jv3coDqkZMSZUHu+XX/o4fFMFjf+v3noejvf5kQaRhscgD05/+/3fqnK1bdoaFjYnSYMW1mKEM8K5UhmYI9p+0wZ8IMUIhnpTL068uQhHHJg9pmPvTQQ/WPcvrwzidJ77jjjhzkkI8/+MCDKE6v0uA/6ltsMUaYs1rfpZ8h9PVl31eG/v7vjz9NozAv8rTqMGfCDFCIZ6UyzH/zj69MX2qppfRLElrHryP8L3pCddur6m5lmD39f+973ytf3tCDjRp62Ezzwx/+MF/tSG3m48+++35WmixNCu3KPfntddfRz2fpyjA61i277LINPXhPjnXyocQd/1i/8sorc2BCIS0rlWHw+08P7ZL+6dV1vWb33XfX1syh+n4QfHcff/SxZqEhevuIr3zlKzYYwvFEl6DD7BgDwxDPSmUYnPG3NZHmFq8Pfmp7Va4yDE59PwoP0wmYAw88sFmGblkh8zS1CVdb8pcMfGsE77vyinrucs7QXF9kJnGIZ6UyDH7/0bQL0jpAP/fYjdbBHKzP7ajKkeGxx2gdpPHndSCcQEQPivhsnmkU0rJSGZIp2HP6DnMmzABx/Pjx4+14dPr3znARml22HYU6zC7HwDDEs1IZZm//J957b7Pffvs1Y8aMaYYvtzyNQ37/y/OS3zdLk0K7tE+33X67jRv//RkxYkTDa3tWXiEtK5Vh9va/KlcZ5t363z/zTBv/k0765qwMu3Gr7laGudN/f4/VDTake6yGdlnzu8yZMAMU0rJSGeZO/7XZ2hjZhnblTnWYM2EGKMSzUhn6/ZchCeOSB7XDnAkzQCGelcrQH38ZkjAueVA7zJkwAxTiWakMC974D+ExoT/u+rab3nW3vphCf9X5oyh/Mu2itcVycuXzc0npR+NtJLZlYs3o15/nxn/kyFH0dOX7bF+ttdbavTvvvMN0gLxbdf9vMWZM77e//S3cvV133bV39tln9/d/HigbGwP9+T/PzX/bNzMAebcuWMe/K664sjdu3Fjr/ZZbbtWbMOFXpgPMrf7TlXo9eqhS75VXXumNGbNF79e/vqY34Zpreh+gdvrXNtts06Or2DqPPy+9+GKPn3p/z8SJEvZDegI3XfnX+/a3v9Pbf//PuVRDeostNrRH99jsLbHEEmafW/1/6KGH5Anj2pAhvRVXGN575PHHegvT08dbX7mhtXsQjz8/OPPMHt2PVWpc/4fre+945zu03hyqPzvff1xx5RW9cWPH6Rse6s+WW27Z+9WECXP8/c+FP7uot9een+nxGuDX+utv0Nt778/03rPZZr1rJlzdO/roo3v0s2wdd9rymCy6KM3dZ5/uLbnEkmY3MIj7f3aOv7XXgQcferD3+tXXIAvtECq+4gor9ugeqD06qelY6u58czob+n+mWwd/vP763tvfTuuga3BmQ/3Y+dnb/4n3TOyNfutbepOnTult+f4t6e/EhKr8gvz+/4nHn+jts/devaeefaZ384039ehLvtD/c+j97yc/uWvr/qcvBno77bxz4H/jG9/oHXzwwcHWpeTD6oL1/qOrv6V9MPr/wQ98QI7jwxYb1rv19tt6a73pTWWZTn2g+pdeemnv5ptvlmXPS7zHhySW7sWHBPmIXn3+Fk9gbrXVlj36MtnZ/Nuaev8PGzasN3XqVKm/wQYb9m7+y80h1pT5/Pijh9W6/9Y/BnlHBbMo/f7TsYlGkcaof/6n9TBdz5lkydOqP//+rc7/hZPHfJYVL7nZbac3nnRGDCTOSneGJweJbgp7Or0DeFLYgOEpL4nOCv3+d47/9X/4Ax8vwr8v+p80YeyLweUr2pak+5zRX3KLPfEb38CsibI//p3jzwNVDG0xdonQSUoOEt0U9nR6B/C42p3hyUGim8KeTu8Ann59GZwBhy+NK4nOEZ7B+tuDHlbkjwFH8NPW8eKk+AdbkKkqiYSCV5QZ1O+M42ByXnD+BdQ+vTLo2GOPlZR8ZZC02R1/8k/ghJI3qf5nP/tZieG3lbhHJ5PGbbNN6D/n3WrLrTSeG4d/aim2qfUkEir8HD9ggu44zpRCR645KrWR78PYa66jK2/1laqSSCjZnRiE+m3Jx40dK8d/vvJq+ivxB4Ku+qD0v63+7Oz/nnvENXHk4UeGLmVl9ow//33de+98L1ye/3xf0Ml0f2D/2pMesuTXLvM233xzT5kvx986wMOLfwTpS+B0pbq+77juut8qlThMa33NpvmvtaY3Y3kd0JpcjddBWyNmc31pxxzq//vf/34Zf37vd+/EiVQ6dXgO1a/379yrf9eddzbLLb9sWH9f+MIXWprIbZze3H///Q2dAAvz9yC6Ej31oI5ji4baMNekudd/bcv8Vf/ee++VX+Twet1iiy1oXAf4uzUL4z/6rXqbAbxPweciPYWVPyNxXW/z2B/HTzj+hDy8mAP1zieLjv9idL9yjR/SbMhXrPrXAnT88d1SPH/Nv7r92INtHrJh36du1qx+/2VMaBi6h4g9nd4BPP3x788/+iYmTJ6WeRRNSYMRslq56oAb0mjB4BQHwY2mpMEICbJJdcANWbiT6rwOghtNSYMREmST6oAbsnAn1XkdBDeakgYjJMgm1QE3ZOFOqvM6CG40qfaFA74Q3hjyH+err74aISSVh1jIW2651f6Q8z3dOO6KK3+R40DMluIAlgjgQTq+QnXADWm0YHCKg+BGU9JghATZpDrghizcSXVeB8GNpqTBCAmySXXADVm4k+q8DoIbTUmDERJkk+qAG7JwJ9V5HQQ3mpIGIyTIJtUBN2ThTqrzOghuNCUNRkiQTaoDbsjCnVTndRDcaEoajJAgm1QH3JCFO6nO6yC40ZQ0Equssko4BlxyySUIIak8xEIaIRic4iC40ZQ0GCFBNjm92W233aR9/CHkj3/6k3hefPGl6vizworDLao42DRXXfVL6+Oyyy3XPPSwPh142tRpehsEyu0/2PA98PSlDUPzIK1QMDjFQXCjKWkwQoJsUh3bbb9d+EB28MH803t6hTinOKjEgopA8CBBNqkOuCGfe+75Rn9+OKT57L77Jja8pDqIVNGUNBghQTapDrghC3dSnddBcKMpaTBCJjLWBF3cIfPi4rQmClrRT+d1cFbr80nVnXfeWeqi/jFfp4eI0atMe/J4enhY+vuLD/PHHEPckljFJgJ4kFLFb9QBN6QxgsEpDoIbTUmDERJkk+qAe7vtt0/rVN9zHHxQWgfCB4sUB5EqmpIGIyTIJtUBNyTcz02idUAny/jY8dl994F5jtWP/XStcxCNiqakwQgJskl18PZHdPsVHCNPOOFEZYQ4pziIVNGUNBghQTapDrghC3dSnddBcKMpaTBCgmxSHXBDwv3lL9H9ut364xPP8iqJZGTTeT/5ifH5QbGHHnJoJ987kA5SfbQNBqc4CG40JQ1GSJBNqgNuyMKdVOd1ENxoShqMkCCbVAfckIU7qc7rILgw8QUgPI95/L9/xvfVDSfIJtUBN2ThbkaPphOr7kterBOVeuuhaNP6pQ36CSekE6tpB6MuZFlf/han+nJitSIWUwUTBzxISwygDrgh4UUa1Z3XQXCjKWkwQoJsUh1wQxbupDqvg+BGU9JghATZpDrghizcSXVeB8GNpqTBCAmySXXADVm4k+q8DoIbTUmDERJkk+qAG7JwJ9V5HQQ3mpIGIyTIJtUBN2ThTqrzOghuNCUNRkiQTaoDbsjCnVTndRDcaEoajJAgm1QH3JCFO6nO6yC40ZQ0GCFBNqkOuCELd1Kd10FwoylpMEKCbFIdcEMW7qQ6r4PgRlPSYIQE2eT0Zgj76MOnfkRkwH8+xMDG9pdSuom1p7Rk3RAAZHtpsSqlm1h7SkvWDQFA9ut3jsAb3vjGHl15IPOEr4Xii9xPPvnk3qJDF5X5w+8W9H0jpeDxTJOKHuTRO+uss0Le++//Z2+NNVYHJUvH2ox+3vLK9OlikXSE5P0AfYIcMn1Ibzp9XvJTVnYhDK5+TimMHt3brLftRz6isWpqrZ/jFCkVAaW3LUXJzbohAMg6rVmU0k2sPaUl64YAIK1aDZTSTaw9pSXrhgAg67JmUUo3sfaUlqwbAoC0ajVQSjex9pSWrBsCgKzLmkUp3cTaU1qybggA0qrV4K677+6tvdZaYf3feeedvbXYRq86RWnJuiEAyLqsWZTSTWTPiBGr9R555JHe8sst33viicfpp78LS/zw4cPl5/qWjFb/5Mkv9fhnfnIgSGmffeZZ+gn16N4/H3yIzE3v7HPOoZ9rflLCfkO3MuFbmjAfxz923HrbrfST19HzRP/58HfY4Yf1jjv2OGkzb9797nf3fve73xHKY2cIANKiaqCUbmLtUcsFF9DPWnfSn7VeddVVvQ/QTyyNCwBZlzWLUrqJtae0ZN0QAKRVq4FSIvFuWhOY/xJBO0DWxJt4TUSu180DAFmXNYtSMpHewvU+8YlP9H7yk58YZ9w24+QWF/QXsqp/1ll0O4tP75a46v/9737fe9e73+WbZrk8OPe88+g2GN+WNUF/5Gfq7+8Pf/iD3jrrrOvSuLaTlVtgQ5Rdjh9h2f/ozalgP+ywr/XoIXVQaR28i9bB70W3cgCQxq7BrNYvW+TXwS+v+lXvgx+g25OgLmRd1iyvtX4u5hDqQlq1Gsxs/Sn00/+1aP7TPanl9igPPvjP3nJ0PHZVrdsGBrF+bnmZNOuGACBzcIWU0k2sPdFy7bXX9N5Pt0TQ1xC6Zc3wHt8uoGWpWm268rx3xhlniP5Tvj3AjjsQlpVjHLrytfenP/1JhxIuLm2DC2puD3/6k/fqbOKfovPbbD0k8PImdQiZm96WW23Voy9fJIFG5xxidJvaU1qybggA0uUroVK6ibWntGTdEABkUZRvq7L66qv3XqRbA6262mq9iffc3Rs2bPGCpWqdorSo/sgjD/emTXtlpsafI/gfXm2ff5Zdbtne0q9butrbXftfbwUwjVI2vQ1xK4CyqSjopFK6ibWntGTdEACkq1dCpXQTa09pybohAMiyqNOV0k2sPaUl64YAIF29Eiqlm1h7SkvWDQFAlkWdrpRuYu0pLVk3BADp6pVQKd3E2lNasm4IALIs6nSldBNrT2nJuiEASFevhErpJtae0pJ1QwCQZVGnK6WbWHtKS9YNAUC6eiVUSjex9pSWrBsCgCyLOl0p3UT28P1bihdOw7J02EEEwKQ6NEiwojSvANMcCTaWDjsIMkyqQ4MEK0rzCjDNkWBj6bCDIMOkOjRIsKI0rwDTHAk2lg47CDJMqkODBCtK8wowzZFgY+lwgvQGUL5lpfdcPH/on5zVTBi2gSWuqBk1aqSrC+hqpvrnnXduQycImg9+8INah95VtNXnh0EMG7aY/HRqUXpgjbavbgvqn3lm+uYZpUXW9WUcocMu4AAALORJREFUvDnxYVIVGmRIaop5BZhm/jDmLeNvJoqI0dAgXUoHzSvAtBYG++An6SDIMKkODRKsKM0rwDRHgo2lww6CDJPq0CDBitK8AkxzJNhYOuwgyDCpDg0SrCjNK8A0R4KNpcMOggyT6tAgwYrSvAJMcyTYWDrsIN0TOay/xWjN/etfL6ccILqUDppXgGktDPbBT9JBkGFSHdr05i9/+Yut/R122AF0kaPXX18eQuWPDXfdfZfjaJ5PfWpXy7Hddh8J9Q/92qGh//TZs1lttVVTDrTDpXTQvAJMa2GwD36SDoIMk+rQIJvm3B+fa33g/vIVKlOmTnX0zEXOWAh+kg6CC5NLSDBawWW5yy67SHuWW27Zhq/6becinqXDDnIufsEUtWhVX96aV4BpmWBZ2Qc/SQdBhon1s88+qxrrtoe5WYwA05CSJGwsHXYQZJiOP+H4UHvkyJEN3esXtCA5ZjxdWe3n/9LLLO0ePIesLB1O8M477mr+57v/0xzw+c83I1ZfnfK0//1faaWVGv6JM50MauikhLUBGTW1aeYPNVvqm8m1ToORCzKnPPfcuA74PcLUKbwOam62sQ9+kg4iM0yqQ4MEK0r2fvzjug6WXXaZZto0Xgf+hXiWDjsINkyqQ4MEK0rzCjDNkWBj6bCDIMOkOjTIpvnWKd+yeca3pOCXeQWYpikCg33wk3QQZJhUhwYJVpTmFWCaI8HG0mEHQYZJdWiQYEXJ3kmTnuXTmTY2/PeD7vubiIhnmfFn9vyM8OkLwOb5F54XLrysTJ06pfVXFH6dA+P9L3SuD5zfV2cb+/bbdz+paU0izdfPWrRqUN6aV4BpmWBZ2Qc/SQdBhkl1aJBgRWleAaY5EmwsHSaI2wLxeJ1y8snm1WDHddlKCJYGm+ZosLF02EGQYVIdGiRYUZqXAN0TXvc79SffCgAMlg47iIwwqQ4NEqwozSvANEeCjaXDDoIMk+rQIMGK0rwCTHMk2Fg67CDIMKkODRKsKM0rwDRHgo2lww6CDJPq0CDBitK8AkxzJNhYOuwgyDCpDg0SrCjNK8A0R4KNpcMOggyT6tAgwYrSvAJMcyTYWDrsIMgwqQ4NEqwozSvANEeCjaXDDoIMk+rQIMGK0rwCTHMk2Fg67CDIMKkODRKsKM0rwDRHgo2lww6CDJPq0CDBitK8AkxzJNhYOuwgyDCpDk1lT2NhREgt2xmwQsa46XKfFrYV96QhukUIMC0mcFo7A1ZIF8BV+/XTgAze+F9xxRXpTVh+Y7j66iOaddZZp1ln3XWbdUnyv3XWXadZe+21xb7uOms3b1zrTUUc3f+N7gc3q/Nvp512KvL0mre8Zb3mrrvuynMq9Zo/tDzzzDPN3//21+ZnF/+s4ZMs8kEwnRCmm7XPcv1ihtn4Rrtq/fmHdTl48y+Oc84f7f3x5xGYXfNPP2Dk9T969Fvbhn+21c/F2vf/ifSTOHxY5BM7vMjBHDt2XD5+pJ9j0oOtckpCP7/4EuPQFa7yoRfxTNxkk03ccUQ/gH76058OOViZXeOfC6FVkNnDiH4hIP2QD8vpw/Mf/nC9HPMsQoBpMYHT2hmwQroAgmX/L7/88ubrXz+2Offc82x/KGiP99naGbBC+oi6vnmJbhECTDNKCdoZsE7XD900n3is+d/o9UdX/becFIbI19p/vm/uIossrPM11b/ql7+UUuX4oz5drarzN83/7benLw5m8LL2Ot6jjz6ideXvKa2DVP99dB/CF196cY70X5vT1rq8/2++idaBnTzS49bveR3wS0Lb45Wg23YGrJA+ItfnIp5x+WWXN8fQOjjvJ+fNlfrcGGuPANNiB5zWzoAVMge88OILzYorrmjHH3roT3YS3SIEmJY5BWpnwAoZg7rm/5zoP7dkoPprrDlS1guftOQTnRMm+FtpxX6w9sY36fvnPfbYwznR7+nNNddcY+tvIVqH793svXSs/XpDv1Bo7r/v3oYeTNe88MILzac+9Z9pzdI6SOv/v/7rVLkPMz1Uq5l478Tml7+8qtH32flv/CWXXurqAub6sHg5UP8RqRPBNB8ecDsDVsgQMuD4W4QA02ICpzHjr3/9qx3vVlxxpeb5559LjPb4eb3/uB0Jz78NN3yb620NO3o4X/dfGi8da++dH4V2BqyQPmLg9W8RAkyLCZzWzoAV0gUQnNfnn7RWmt7eft+bdgaskD6i3//+/se8iO+/5sTff7liFeXzRGcUrHHGFhqYOI8JaTQQzBBBcJtiIJJbNDBRF9KoIJghguA2xUAkt2hgoi6kUUEwQwTBbYqBSG7RwERdSKOCYIYIgtsUA4F85JFH2psL/XZ7SHM7nbjkF+pCWiClop8ouau89MPnhRdeqHFG5CRQDMAgMp9YxVWrQ5pTTv2W+FAX0gJdqhPS1T3D6OotXC3i3DOsbzkdQDzqQhoFBDNEENymGIjkFg1M1IU0KghmiCC4TTEQyS0amKgLaVQQzBBBcJtiIJJbNDBRF9KoIJghguA2xUAkt2hgoi6kUUEwQwTBbYqBSG7RwERdSKOCYIYIgtsUA5FM2gYbbGAfmPmLih122lE4qAtpgd2pNM6IBIxrwHtbMZiou9lmm9sxih/+kXM29nAfPXbpSdGz6ApcvB5/7PFmZbraDlfw0M+r4RL55JNPNnxlvHwglhNK/AG11zAP9SEtEA00QwTBbYqBSG7RwERdyJdemixtxdVR3OdTTjm5yoB4cZhioOKXBjBRF9J4IJghguA2xUAkt2hgoi6kUUEwQwTBbYqBSG7RmKlrIp+I2HFHXRNCn0Gq4DbFQEtFNU2ZPLlZU07Q6DzmtThmizE2Dy2wSMVfgvr5/73TTzdqXitFUGYY4vpDhtBacCctF1p4oWbixHuNI2AGqYLbFAMxV4sGJvY7JKiTX8Q6wDj16GrKU+DOXWYLkmVgvC6AENSFND4IZogguE0xEMktGpioC2lUEMwQQXCbYiCSWzQwUZfliSeeaMfQ922R7iHaEssmxIvbFAMdUdkMpq+fvYRACMasBLcpBjKxA4E5K/X5ywf8jWH5ne98R7MjmWv05ZddJtzFl1i8odsqVK3gELqtFXGGNEsutWRzySXFSVDL2TSvf/3rJZdf/3fSRQn2Mu705oADDhDuUPr113PP4SSiMQ0gZFb6b8EEEC82Uwx4aisGc07U32qrrWRMeJ8df9xxoclzon7bALza/uv9zvWYaFesIlncK21lzYaQ+a3/6ADaL7opBkDrlGD2+69DhHGwAcMAmSGC4DbFQCS3aGCiLqRRQTBDBMFtioFIbtHARF1Io4JghgiC2xQDkdyigYm6kEYFwQwRBLcpBiK5RQMTdSGNCoIZIghuUwxEcosGJupCGhUEM0QQ3KYYiOQWDUzUZVndCkBJoGqWYEN0S4F2U84liDbZUkeoLzKCrV+/HrQBLXksBdEmW+pA9UWGt+0iD8jQkwn8gWqJJZZwPyOs86Ha8cfHnysussgizTMtP1f0tZDN2+jejvIGUj7MpQ90//jHP0BtkbkvjO6/7355Y7Txxhu3cNHaHMMkX7/+1NqaxhlzLkG0yRZHS1B9kRFs/flfD9qAljyWgmiTLXWg+iIj2P7Nx/95+oC18MKL6MmUtP6OOuqoeiDNksdSEG2yxUgG1BcZwTaD8eefHS9Kxxb+4LM2XSnvq3GeY+lKMXygxYdLPjbh9dGPfSz5hzQf/dj/E7Ov/1N+kAj/jJP7nvrPJ1qfePIJpChk7osg2mRLQSVVfZERbDPof5lx1KiR1l/u9w7/b4c5Wh894nZJP2gTexdbHPqaXME2i/331SQPbTRfrAst1JrJ+nyl18J01SjmE8u8JnI1QbTJFlTNUn2REWyu/9886Zt539Jc5Lp/+MMfcjJBORejxx59zGLQXn+yJtRKmYLN1ad7RVouXgucj+6bO2B97rzmK2httdpsrn57htKq1UaNGpXbyuuguEUIokJfB7E+p5LctNEaqBjlglD/FXqQGt2P0o6P+quBf5/+t+1Rtvn9zw9XxPrj4zKfGDVOMUPettHGMncP+epXKUn77Nlgww2aYfTT7ptuukny5E3m/+3vfw9rgOu/YdQbMpWQn3//+Mcdsg8323yMebrqhyRByfUF0SZbAlEU9UVGsHX0v84ES84liDbZAk6W6osMbzvz+9+nMdS//6uNWK15+eWXc3AryrkE0SZb6gD1RUawDWL/+eISvBfCidVQKzUv2Aaxft17jM2c6X+/fj0CYV/397+MQBiT/vyvJ82AlryWBdEmW+pA9UVGsM0n41+cWHUdMmjATTIdEPRRGJFWjNiATsd1PIMG+vVpBPxozI3x34o+OPEfY9yniR6Iom3yDXN7VOH0hp98ig9f/MaEn1hdv1wSgwaahx56yN4IoP4b3vCGmaqPWpNf4ieD820I9oLJyVwrD7SzEdNrc2P8+/Xz7uqPv46FzAk/MfIQJTSg07Edz6AB4U245uqw/vlYcP4FF8SF4TIqjDkqtxkcz6ABYXmtbf9feNFFdoz43Oc+lzLnqLN+9CNZ//7EKN/agF/nnftji11xhRWbxx9/nKw5ljm77b571f9NNn17SWOqe8UczlFAxzNoQLhea+t/kbDJtz7QE8GrjxhRUpzushs08Krqa/KYwxUsoOMZNDDP1p9wdTrBmE6085q44HxaE/aKfTBzBRzPoAFhQ+MvJZdddrk0X+mDPtX84H98sMqoBkQ1cpUVTgzwGuArbfMr8/K0dzYieu0Qejo515V8LCnfeLr3YP3yUbU3WxzPoAGheW1m5r/mnk7rYGx4/zGCbl9Uv1x2gwZeU/26VpvF1TJoYL6pfyn9bFznBb9PXIjet9VXWbb1Pswu67aB+ab/dd9iH9h/9DFHy3zEOPH9p9v6f+GFF8hY0kMYm2cnTQrrD/P/4UceoZO0Q+j2EkfXpcWi9U897dR0MldPDPJ6xd8+DXTtJMhfUvLJ1+PSlZnMcQw7xyo279Bkbjugs51nIQaE5zX0X2ze4TIqHNDp2I5n0IDwZKz5lifpWH/xxRfrmESay8lwQKfjOp5BA8Lz2mvp/3N0GwN5DyTH716zPt17PrTTChkY1Pqu0w66WgYN9OvTCPjReC373w26gy67QQP98e+Pf3/++dWSloaIuEy6rljV6ILrUjJU78CcHFKyRW8J9iaPcyYg9Q7MAbdurcS1BHuTxzkTkHoH5oC74NTfaKONwjftn9t//9zJDvTSiy81Q9O3o/iW/jK6315YpSnWj6fH7P7BD38gbzKRg9+U7rtfuql+R22Ysbf+Rd8w709t/uVVV81yfeRSiYzR2qWVbNHVGEK8yeNAEkW9A3NyVMkWvSXYmzzOmYDUOzAHXAx1ZgvKqhG9yWMjGFDvwBwjV0criWsJ9iaPcyYg9Q7MAXfB6T/ft82vP16Dt95yS+5oBypHS/SWwfMmj+u06i05e+y+h32ov4x+QokX2NdcrSeGud3oxzbbbiNf2iyHE1X0oYlvU1Lm5lx8JRbi8KH48MMOQ5lOifogiN5SwJs8RlyW6h2Y0zRf+tIXQ3u57Q888ID2rSXYmzzOdYHUOzAH3AVn/rf1iNeE/5DK8+KWYk2UoyV6y+B5k8e5rqJT6fY3mH8iac7+kL406HpxrmnTpjYjVlvN4nguHHLIISHE1/Q4kESZ3vCvPqwN6UTD7bffXlPJorlyRkFZtRhv8tgIBtQ7MMfIzRe/9CVpq1+7/7z/gUxIyOfzuCJWPaoZ3lK2VvSWAt7ksc+lWL0Dc3JUyRa9JdibPM6ZgNTbxtl6661tXmy0kd67sWSL3hLsTR6japbqHZjTzZa4lmBv8jhnAlLvwBxw6/nPt9+wuUhrhy884JfP9+RTTzWrrLIKjeUQudVMzpaZzOerVLceuzU9wIofyNb+Yt7WW38410x//y655JIQ4Os/SBcy8ENg//znGwJHFWV6fgvJTCVb9JZgb/LYEhlQ78AcI1erVeJagr3J45ypaTaVe6zzF0r0ZdYH/8O7OrHmyhkFZdXivMljIxhQ78AcI1f9v5ruyevn3worrEAnyuO9CAfO/drqS3RLAW/yOPcESL0Dc8DFuspsQVk1ojd5bAQD6h2YY+Rq/CWuJdibPM6ZgNQ7MAfcfv/L0RK9ZfC8yeM8kkDqHZgDbn/8y9ESvWXwvMnjPJJA6h2YA+6cH3+7YrW7gTjYOoZBA7kHgrrs7IQPUkOjpjZ41OcYBg34AMJddqbBB6mhUVMbPOpzDIMGfADhLjvT4IPU0KipDR71OYZBAz6AcJedafBBamjU1AaP+nS75sg15Y0e7tv33/+d7g3lQ6yGGi+gK9rsqhZ6MzKCfkKTnyKOKiGBU/L823GHHdMHWH5IiF6lc+WVVzguYGoxCX5C+BR6Ymp+qS+Pg3pgzTygXB+W3L2uqC47Z4APUrNGzSoJX32OYdCAD5CYwuBUxECqK2qOTu1Vn2MYNOADCHfZmQYfpIZGTW3wqM8xDBrwAYS77EyDD1JDo6Y2eNTnGAYN+ADCXXamwQepoVFTGzzqcwyDBnwA4S470+CD1NCoqQ0e9el2p5354XF5/fGVG48/Xv4Mvjvba60vbbL0BqzBI0bwk8p7zaJD+b5w+vRkcxK488477GoTHJP4wQ0f+vCH7Ri1Mz0gL7/y/JeHV8gJpNj/6677v0wXVLcrE+CDVE/UMpvHS32OYdCADyCc7ePH0xPgU5txEux///fKwOHgHMGaf722+j6TYlSCjNY2vjId36CBIqzLzjT4IDU0aj7djPu/0047y5zT8dW/S48/wVc7t71QCVI5UfNx7fXf9c53SU29cmpIM3ToULnCbKBs5557rovRK01//etfS8is1n+C1jzXRn3u+wi7Gro72+wYfz9aXf0fP/5k20fa5l5z5ZX/a6HdLW4f/646A9vZi0qQM4qYv+rfR7daWmihdEUk/Z044ogjtIO2Rb8hF6z+z6g32P+XX873TdVjBcvRcsWgDZKAj3/84zJn99p7H9LdeBk0EAM9N3mmTp3WLLnkkmH9L7roULt3alcmrqs+xzBoYIb1MwExkOqJWmbPi/WPOvIo+/zBc33ixHt9gwl39yb7IidqPt3gjf+UKVOahx95uLmErrIdNWpkmH98/N5zz880N9xwA90u5lF3kn7w6muv0FPIaPU9h0eZjm/QQBHWZWcafJCoUqQwtd9/HSk3XgYN2GjNaDT7448xg5zRiPXnn46UGy+DBua5+UcnVovGmWqgaHRWIwMTIPmDk5Sk4/L1rizgWUAmViiUoMCgl0q/vozfax3/1dPN7/VDZK+5iH56q6/u8f8o/exf+PIU0iHNkfTGJL/CjnK7Pdr5vl3LLYefPuq3xfxUy5fop/1d9c8//3ype+UVv7C8r7X/ud2WsrN+5lJf+vNPhqM//nlWKIrzHPPEJkxJd3qM7F5/kmuQ5t+Gb3ubrmV6I85rmu+VrE+fnDP1XffzUIlxevOXW2+hNumH1c3eu5mjUudT/1+kB9mAU15lyP1ZeaWVmyee4BPFcXQ52be+VVwlSPyll1463Wdt7vc/tDgpZ59zjrsyhcdmSHPqqafFsXFa7nbI5hmGI2Pe7L82llqaGjs7jj9vC2tiiK6JV/zoDG79++67T9Ye/gaz3Gabceiiddl2FHvo/0023TTNfV0jS71uKbmKNfMIWbMNBDcUnKT1beDbZNgrhJOS9Nkx/lpz4Pl3ztnn0BcMOv+x/vmn0dYwNNzabQCeSkbGwPXndv/nVP3DDz8izM3r//hHHeO5vP/nVP9tkoTJQUrR/xtu+HO4yn01upJcXol34UV6CwC+VQc/JK7tFUpQgaAXyjVX0+1Kivm/+ZjNKW0gOrWwtzQgMgaujzJza/0PZn0++eiPe4ceeqiMYxiPUkn63Oz/XnvvHY7/be9/0K+jj/Gf0Vp2fjVz/n32P0Yj7GKaYEEvlXlg/3O75+b869fvj/+/y/yjE6t4hSOBO0wUBwzQWcYQ85Rm6Cr91kKqZLlqRp4tGIkLR2mG7ivDlkOjJVfNKHMTiiHmLs3QVfqthRAAS225akaeLTiGmLs0Q1fptxZCACy15aoZsectb32Lvangn5Jcd911GuC2PtOkZyfJbQDws5OVVlyhmfRcvFeUhvoobg10Rb/73e+1rlx9pSd1PvwfH3JVM+TIyfRm9E1velMzbNjizQsvvihOzei3OWZm++8jrInBWGbKuq+s2AdGS9l/zzQcQzrNoKn0WwshAJba+vUxHnkk/GgJBqVwlGboKv3WB4Kltlw1I88WHEPMXZqhq/RbCyEAltpy1YzYwydj8Oab17R9INQw2cZMObOvXHIySxPlqhm5EiAF04knnGBt459n44VaqD98+HDi6ckl9AXy5z//uYTlqhl9mK9qdccf7v/222+PMiZRDwboqM922MApLblqRpmbUJ1EHN484VcTZExw/GW57377zrH63CC0R6Xfpn5UreaYHAXk2S0h5i750FX6rYUQAEtts1J/qaVeF8Z4VZwkSemR2VeGLbcgWgaqj3tYYp/yXD7mmGMsVcykPfvNr68NbeSYcePGWcys9n/XXXfNJ+zTWrqAvsjkV1v9bFdvySmjBuq/FMkJTQUoc7M+4Ve/qvq/7777IoRkjBrs+lxIK/itK7+A1F9vvfVknPl4+rrXva6ZTl8wYGR9z2HLIxAtPip6coQldiaGJR+6Sr/1gWCpbXbXv/+Bf9o48Vgtvvgwa8zNN9/cLLnUkg0fV+644x9Vf4wYm9xpZtpXv3JwNf/9vVPLUZvd/a+bHi3zcn3+InmZZZax49+6677Zxp5B7EnW1e63PixGzcv9t1bHJneaQfM9h82CilHr9x8jlEcij1VCoBSO0gxdpd/6QLDUlqtm5NmCY4i5SzN0lX5rIQTAUluumpFnC44h5i7N0FX6rYUQAEttuWpGni04hpi7NENX6bcWQgAsteWqGXm24Bhi7tIMXaXfWggBsNSWq2bk2YJjiLlLM3SVfmshBMBSW66akWcLjiHmLs3QVfqthRAAS225akaeLTiGmJvNcmIVZ5FDChek0G2dTxqUE1hyBUQM3MKd1BzuyBVUg2ydr1+fBiMPYDHA7CtMLWoOd+QKqsF+MptOMPztb38dsP4PzqT7oso35Xoy9Nvf/nbVgpmpf8Thh7k3onRShOqfdhpfeUXtygkk97N0MvdDH/qQ8MduPbaqVxpyeNVpoarVbR2trX7OT8TAzR6P+vV1NPrHHzdZKqgG2TrfnJx/+eFxuv74A6HcQy9PYD+tCVNDQ1sLd1JzuCNXUA2ydT7f/43T05P5pNEf/3h9Z32+CggnUrMc0uzycX6ASHq5GgynTpncLLHEEiku9/+73/0fakIiuxjNQobKhgJZ5nBHrqAaZOt8vv91renNbbfeFo6/3N8tt9oqFyc0O+vXbQqlRZmf6/ODefIc0r9xG9E81BftqLCv6r6zZVb7f9qp/xVO8HP9H//4xy21tD5/sbjWWmtV7Tz1VL5ic9brT3+laVZeZeWQb6GFFmqeevIpyZc3s6f/cUy5RhrkJNrq33YbrQMaJ/9vq7QOcrhLUEE1yNb5ZNBzglxaEBEDt3AnNYc7cgXVIFvnm5fq33P3PWl89UurLbYY82/V/3pf044K+yrv/xdeeCHMRf6bNe3laXKv79XpwWo8T39y3nkSoCncNuQkJU+gXACRiRuvqtd1wFde8iuHu8QVVINsnU86mBNIvrwhYuBmj0c53JErqAbZOt/cqr/lVluG/XfXXXe19JUaGtrqe53x/Nh/13rqY+pk1dd+//v7P8+ULpSnj5tAFVSDbJ1vbq3/3BdqTO5ANgtiX2FqUXO4I1dQDbJ1vn7/aTDyABajy77C1KLmcEeuoBpk63xd4++uWC0qhmD2eUM6BeJNFu5Oj5jfQErjdIsrQEXxhn59GQ0/JDZ8s3f8+VtufDjhK2ZuuOlGq6wg1n/HO95h/LXXWbt5edrLRGtteMxTUDbddBPLg/q777Z7cxQ9XfUwOun6RXpIy3/+5382H6A3PIvS/eZwNc93v/vdWK974AasH9vcn3/dwxj3vw6q25ndgf3x9yPghqwaQ1o/3cM4+8b/2mv1qjesP15j/NCM+Jp99XOduv/3TNQP9dymZZZdlq6UorM/NoYGxLbNuLHVsWTV1VZtnqKHhdjLhbBtwgS94g19Z8m1uG58zZ3+5zbE+nxbA2tz+jJszTVen+ldqOi/G0yKqMc/p4n11e6SCXR6DoyoonjDvFP/Wr4SlMc1jS3PiQ/Tw3vkZU02kIbR6bHXWaso2XDggV+Wfcq1UPs3v/1Niq3Hf/fddtM54NrIc4LvP47XiSee2Oz6yU9CjbtbrLn+zTffVNV/xzvfkWLr+iGZpMm5csECVRRvmPX9L+ug6P8aa6xRFHWqLydmb5j1+pZZ0vhc5omgonjDvFmfT9TLnKS5xfLggw5OfXJtF+j02OusVRRvmDf7r41PbWPFmmwgrP/F0gNd5fhMc/PeiRPpi8qNaG0Nab5MD1uLL5djFo+/fM/MIXxxg5v/eFhRrOE0X07M3rBgjL/rbQ19d1v6/5WvflXnOo8p/Tv5lJNTjpnf/3VRZ5lBfXFXHI7v17dhqUFYf260a2ixcHlDf/7LaPghwTD15x+NQHrVoD//uicORk2ljR3M3jDvrz93YlUbHptfTpCWTkpAjvXxaRZJEOyQyJRlzgGbcQ1UnjBRmRapWQOCRKYs1eP9hg2A7QwCVeet8wQNdkhkylI93m/YANjOIFB13jpP0GCHRKYs1eP9hg00zf/RT//xQZ3fPF9+2eVWh2mO2lx26SX2AYzvh/qnP/0p+HNtRhrp44Eff+wxeiDCQvIGBm/cuQ1dGO1biN7w8JNNc3ZUEVOx6a5fNxotoxQCc6zzwCl1YIcsihvX+w0bQJQzCFSdt84TNNghkSlL9Xi/YQNgO4NA1XnrPEGDHRKZslSP9xs2ALYzCFSdt84TNNghkSlL9Xi/YQNgO4NA1XnrPEGDHRKZslSP9xs2ALYzCFSdt84TNNghkSlL9Xi/4QROP+OMas3xlxuoyjSLkcRZA4LMdYHU4/2GDURuLjFdfgqNdc9Xq+srBwKx3GeffeTDq37Q1KurLr/s0pyujKYgiaHjiT/mvH711VOHNTtvFaUEToMdEows1eP9hg2A7QwCVeet84jGP1scSk92xtjIcZM+ZL/0UnnfvpyjqhKTxiriy7GRmjUgSNTIUj3eb9gA2M4gUHXeOk/QYIdEpizV4/2GDYCdDad/73T7G4cx3n333RIx84AgkSlL9Xi/YQPKPvJIvY+ln4uXXXqp9D1SpzcHHXSQzNlhSywe5sDyyw8nvrJ/9KMfCecjdC90H2/YgNbHLTd8/SPpIUVMi9SsAUHmfgOpx/sNG4hc0cSnBN5GatZeIQ8/4Rz7iE9eDaEHz+R1kHNUVXKa5HIGgTnWeUJrYIdEjSxzDtiMa6DypA7n2EjNGhAkMmWpHu83bABsZxCo+vvoyfZ5fOn++xdegADbLy7SfArU4/2GDSDEGQSqzlvnCRrskMiUpXq837ABsJ1BoOq8dZ6gwQ7JmfjLPJ6Hckym97Or0sPfGI+lL2ZeocvCjWuAo/jlDAJV563zmHbeuT8O+4Vr7LLLxzmRe+UcMFouA5UnFcyxkZo1IEhkylI93m/YANjOIFB13jpP0GCHRKYs1eP9hg2APb352c9+Ft4LvG+LLaR2pGYNCBKZslSP9xs2ALYzCFSdt84TNNghkSlL9Xi/YQNgO4NA1XnrPEGDHRKZslSP9xs2ALYzCFSdt84TNNghkSlL9Xi/YQNgO4NA1XnrPEGDHRKZslSP9xs2ALYzCFSdt84TNNghkSlL9Xi/YQNgO4NA1XnrPEGDHRKZslSP9xs2ALYzCFSdt84TNNghkSlL9Xi/YQNgO4NA1XnrPEGDHRKZslSP9xs2ALYzCFSdt84TNNghkSlL9Xi/YQNgO4NA1XnrPEGDHRKZslSP9xs2ALYzCFSdt84TNNghkSlL9Xi/YQNgO4NA1XkLj94KoIUvJlwj6wIsEjGQyDigDlKSUeRWWQ7wnSubwFJZ2lt1GJOMwhVJqfv9tzHGyE2dMrVZlq4Iwxvovfbaq3X8+WeBI0eOMt5Pzvsp8ZAlDjys5kbVNP78M0fUgxw7dmzzve99jx7EcmrDV9sc9rXDm33o6al6jy99s7rxxpsgUyqNSrNWn5MgMoOcWpARkr1VhzHJKFwR5ADfubIpNqC0t+owJhmFK9KvLyPQX/82x3iqHHjggdU61Ac3kBNTCxGtOoxJRtGSA3znyiZUkqehL7/ccPqgo+t+//0/7wISTeI0+LjjjrV+8BPCd/3Up5RU5k77n69kXYruF4hjD+SWW25pbZib/ZdGVG3PTeOnteMDPNp+66232hhZqIEU25//Nog2NAbUldcEnahL8+/QQ79mYxsTIDjJKFpiwHcuMv3orLPqufj+reR+lqj39FNP0y84Pi28ddZZpzn8sPhQoTFjxkjSn57/02ahhRem+5Gv1Tzz9DMIV9mx/9/3vvdV9X/3f78vYqOq6wP9iR2HtV5D5smubIoFSnuLPmLEalW7b7vt1u7cHf2PhZPWUi/wxA9SklG4nYyc4DtXNoX0uROIjW71IzgWhrXOYZ7syqZQ4Nln6F769JR5Pb7ocfi+++7PHIlDcJJRuE6iD+A7Vzbl3IxKe6sOY5JRtOQA37my6TXXX4vWHP/98WP25je/uZk0aZLmHqT59yn6+1Ye//nLFIyZdclA6tog1ZdskhsFkozC2mMDOw/Xf+CBB8KxZJGFF22e9sdPdBWdER3G2HFYsT8QYj9xJUMnB2QjJEOrDmOSUbgiyAG+c2UTKqss7a06jElG4Yr068sIzMPzP+580rBr4WjVYYw7HtY6h3myK5tQSWVpb9VhTDKKlj6A71zZ1K/vR6Acl1YdxiSjcIOcEs/H8z9fseo60TZeGBLvA86+jOCDFE/ldoZ+fQxVkBghyOBMSvZlVPLEU7mdYRbG/xh6MAy/GeQPknwT97vuvju0ZNKk55qt6KQDPsQfQVfYvJb6n9z1k5rLrhgb0vziF7+wLuZeKPrYxz4m3yYfffTRkZOJob2izEL/LWmVpSpgVPFUbmfo17ex8gAjBOl9wNmXEXyQ4qncztAffwxVkBghltt+ZFtZV/iQxuuf73MMTv2XMacSTiYmhzO8yvGfNm1a84lPfsKONXzMeec730m3HJmWixPy9c8++2zj80nHZ56hE0od9Z948slmDN0rUI5l7vjD+npvXq95+eWX52r/uZN5FDPynd94k42tvzgmX3TRRSGyq//ICOnzAmdfRvBBiqdyO0PH+IMBiXxeZl9G3s9YPJXbGV5l/W233bYa29NO+6+y/KDWv/e+++TqS5zIxT7dfPPNmvHjT2r4i4WVV1pJ2sUPl/sHPQDnoIP14TXgLrXUUs1HP7q9/BKEH+Z2G59ob3lhhCBfeP75ZujQxSQ36i+z7DLNv/71L4oGq04knsrtDK9y/LlSzpJR2QL25Hsw42QWXVUp64CTtMfCClnmZT37Mip54qnczjCf1+cr+DC3+O/DiiusEIZgQe+/dtbtz9D7NEcK9/rrj3Zj1mtWojV7j72XjhmL0JA9+zLyBL0yNs953k8PP/wwURx/Pp9/cbR8753HdddZE6ycYocVUsm6XWXlVcL+u9Bdoe15jCW+SuIM/fEvh0x0jBBkGyn7Mip54qncztAf/3LI+uNPI4AZAtk2SNmXUckTT+V2hv78K4dMdIwQZBsp+zIqeeKp3M4wyOOfT6z6lrh6oXee0+EoQ6sQNhAJP0Pr8gd7Z9LaUVtCJlX69V/T+E+ePLl5z3veq28q6GTDmmus2fA34H+8/vrmzB/8gK5UHSm+5Ycv35yXbsAf9sIsjD//lHXFFVbUEzpUi98U8r2pXnzxJUpZ7222HHLIIcK7ie4F1/qahfoSX5dJaWtHbWlpQb/+a5p/eUTr0a4tmW2oP/6vavzfOvqtuuZpDeLk6vkX6JPAMbZzavxfeOHF5thjj2022ngj+YKHjws40cOYH9ZzyKGHNBdckH+OijZec/U16bYiQ5orrrgCZpOPPfpYM/7k8c0nPvEJe2CV/Ow5HX84P/q/3lvWa7785S8336GH8j1w//0tRyRLm8Ecnn98db+2WY+fjL950jdze0pU7sRSN37tqC1GzoBIC8rff14TmHeQ558f10TueEKD0P999vms7lOak6gLiX09ctTI5p579B7A+JsIH98Gg/mrrrpqc/vtt8cmljvR6ZdffnmaS3pVIufhLzLxclSYajkI/dekdbXaksuHdZD6f9JJJ2UCUJmk1MFrWe2dVIshQKQFZf6jWwfTiXs///jLrc7XAth/9HVW9v873p6fPzB8heGN/IqAE5VJSh3FKmIdyjltzcvfrV6z/uj1F7j5hyHpHCoQWBJpMNbfe97zbnsfwWN80IEHtewRXzjhQapf7+02S79+NQL98R+U+d822+bk+uvXr0e7tlSzX4ZtMI5//fGvRxuWeGKVrHDI7ug4i2u7ypEVOgOToIrkTdqdyQ63zxds/fo2NK3ADZZCZ+AAqCJ5M3jj/zT9PHaXnXeJH7LozQWfgFhs2GLNdttv3zz8EH8rLmXTZtbr//nPN8Q3hvSByH6Ci/6hROrwWHo4zetfTw9ogX829J+7ZfkNoqB4s79fP43QrO//NJLtwg23QmfgCKgieTP36j/99FPNnXfdoU1K7ULzrHNkCLZ57Pi38sr0JHBaf/whAvdX/M1v9KE52u7Q+twZMfNm8Mb/SXoo06KL4J6J6SQP2pXayO0cueaaqR25/l133i19+LTdCzPtAaIwCw/p0j7m3PIBtei/2OgEFcvqSyROxi+RvBm8/ue8grRE2qpFygnk++D6tvNJYb73Jprn+cE2j80/ayeAa6xCZ2AOVJG8GfzxlzWR9j+PMc+ZX+NBUrOx/r/oSuk9dt9DH0pT1B+62NBmv/32a/gLAnlRO66+eoKtXXwpsDX9nbz//vuUw1viockaFzQxfW7/z4X1z30+/fQzUlzBhyqSN4M//tIoycwIBZMVaqq/+x676TrAeNFaPuigAxNZwxEixv78z2PThtxgbZFuDyHHTBrXHXfaKe+ONP5ze//Pa/XHvG8LmY/LLbdsc/NNN8t4uSElPWj1HnBuhc7AbFLHjx+f5jz93U5/uw46UB8qVrBnS31ptBTizdxd/4Ndv/z8M2bM5tJd22CAF9D++8OtdhUdTiMAtd9/mfuDPf/6428rLQ0FJlx//skIYDj662+Or7//DwAA//+ntzZQAABAAElEQVTsXQW8HdXx3uAQNHhCgGBpoYVCFNfi7i4BKliQFilOW6xAaXH+eGgp7hIKtFhwKAVagnso7gkhefsfOd+cOSvv3by8F5KXe3/Jzjcz35k5Z/as3H17d7vl9MnyLMu60X/3SU1Oc9DR2wcRC9JFSU1Oc9DR2wcRC9JFSU1Oc9DR2wcRC9JFSU1Oc9DR2wcRC9JFSU1Oc5Dp//nPf7Inn3wye+WVV7L555svGzhoULbccstlM8wwg4tWAxEL0tFg+t3vfpcdfczRmc1Rcpx66qnZr3/9a8dO4fDhw7Nvx4zJNt1ss9RR1JAE0vlTk9McdPT2QcSCdFFSk9McdPT2QcSCdFFSk9McdPRW4ceffJKts9Za2aeffZ7NMstMNGf+q3zEgnRRUpPTHHT0huEtt9ySnXTSSdlmm26aHX74Ebrfq4iZmpzmYFtJP/jgg+z2227Lrr3uuuzee+7JVujXP3vkkRGxGWJBRo9NdzU5goOO3j6IWJAuSmqiQwQZppth+qxl3Hhl8fGCbCNHjsyWWmop13ICIJJAuqapyWkOOnr7IGJBuiipyWkOOnr7IGJBuiipyWkOOnqr8Mgjj8xOOvFEWl1hpRF7j913zy655NJOnf+tdoqdGAuka5CanOago7cPIhaki5KanOYhbRTTTz99Nn68bhOobsPbBGJBTmB+pr/55pvZrbfemr3//vvZnHPMkS2+xBLZwIEDs169erloCm+//Y7sxhuvJ99C2dq0P15ttdUneP0vucSS2SuvvhLbUeg33ngjW2SRRUr52jRg3JCuQWpymoOO3hA88sijshNP/L1wsa52p+3gUmwHLkqaxmkOOnr7IGJBuiipyWkOOnr7IGJBuiipyWkOgt7S0pLNNddc2ZdffCGbNNsPPfTQ7JRTTgGlWiIWpGOlJqc56Ojtg4gF6aKkJqc56Ojtgocdelj29DNPZ+ecfW62VN8lkxhpGqc5mDSoUdZdd93s73//e9jz66y/h85F1l577Sl+/1sz5MbNqCWka5manObgEUcckZ188snWarZZZ80++/zzbJpppjFbqwCxIB05NTnNQUdvH0QsSBclNTnNQUdvH0QsSBclNTnNQUdvH0QsSBclNTnNQUdvH0QsSBclNTnNQUdvH0QsSBclNTnNQUdvH0QsSBclNTnNQUdvH0QsSBclNTnNQUdvH0QsSBclNTnNQUdvE37y8cfZfvsfkPXu3YuOy6cqH7EgyfrWW29ljz76aPYEXdN5iv7zuV3PhXpmSy2xFH1/XSHbbZfdstlmn63NfAceeKCcm5511lnZQgstVM1HXkjHSk1Oc9DR2wcRC9JFSU1Oc9DRy5AvrJY/LQ2ZhCRUxzdoIAeC5HYeN5SsroHYndOgAcsVLc38vhaTc/1XXnllnso5nRKS7Cb4heefj12WgbjRGDTQXP+hWrEik3b+b7X1VrLeeD12795deuP7ElcmUIW3whQDOadBA7L+b7vttnyFfv2sHwccOBTJKmRsa84KU1X+Z//1bH7c8cfngwcNzOkE2/Lx2AcNHtxmOCVUJKswVeW3yR6BIR/CY+uUgbL3448+prHo9qfbonyHzj//7Atq5fgGDZg3WpIWljUCzwzWCpN4xO6cBg1M9fn/9Oc/J/OQ5+KGG28Uy11CsXbmqjBN7fX/+GPdJvz2wLX9/PN0m0DpILluHluNDVR4K0xCF7tzGjRguaKlfflfffU1mUd+vD/o+8N0NJbEQGX+N956M99nn31y+sOsjTqC2NZsFSbxid05DRqw/Ml20E33XxttVLUdxLYdmd9H9dhyGKjwVpgmdPw+hMeW1kCFt8KE/P/9zwul/cs5Z59ViuZDeGxEAxXeChPyJ7PZeAZs/UdL0sKyRuCZwVphmtzzf/PNN/lMM82UrJtZZpklHzNmjNUkjtmjisFWmCb38WNE6Dok2z0GL8oKb4XpvPPOo9p2C99NdH/y/HP4bhIbAEF2VH7prwR1kQ0asLFGS8eMv5mfKiBFdZU1aKBZf5ko6ZyL1QnORFR4K0zSROzOadDAVF//W269NZ9//vnlOEB/SI5lczUfP25cfsIJJ+TTTzed8Pw5Hp/Tqt4tn3POOfOjjzoq//bbb7V1Tf032nADiTP77LPn1157bSlnXDuuEwYrvBWmGNQ5DRr4XtY/3YnUkrfEPlgnbIwE4IZkHzCk56fYMzwGq5m/WX/MhTiv2PLpJ5/k003LGzpd0AlfhBZeeGEhYyZBxghFFBlX/mWYXNgb+eKLjtScf505/y699BLZwfLOmdchLqzGFdC59b/zzjtyuoNL+xDmEPdl6NADQhc6Nn8/d/G2W7gQKWOnnINXHBSHbahj81tYA3H+p1sXCI3lf3Hki3E98rqk/zPPPLMdBxCtLDsmP8etiuRt5dx1rTyzsfHXRZoS8l9zzTWl+T9w4IBQhK4//ri2q9ZW+8f/Ih1HdNvWPzhgm4j56maNZ7Q/fzG6jxqxH7PHYDSe/5xzzy3tAw4YeiAC1UifM+Idd9xBYtEd/JPs/POaa68u9Z+3g848/lXvtXypGq9/rF6M6m0+asSe4TEYE5//8suvKNWV7qIOCXxOjzsuPyJVS5/TY7AnfvyIVC19To/B7rz8dw+/O10vdP6zwQYbIHGQnZdfE/gxe4xuTLn5b7/99lDfuP+/9NJLMbAg/Zg9Bm3KHT+PoGpEGJlKz/AYrOb4m8cfzIXq+YRZA8lsYMgYoYg8w2Pwuu78Gz9ufH7EEYfn3brp/unAg4bm9OsqDDzIlvyVV17NV15pJd2XBS6fy/LFVP0OG6+/6Plulq+y6qr5Rx99ZOuhEDQfO3ZsPmSPIXb8OeaYY4gy9dSfLqziEwYtwhfA25nrfWjbuLTWBAxL86CJ8B5vZ6L3NZ4XTGtNwLA4gybCe7ydid6HqI1La03AsDQPmgjv8XYmel/jecG01gQMizNoIrzH25nofYjauLTWBAxL86CJUHzNtXRBgC+G0X/8xeTnP/9Z48kc8/5/PpDPOOOMec9evXL+6wwnDxkDK2givMfbmep9LkGD0FoTMCxtgybCe7ydid7XYFJHs9YEDIs/aCK8x9uZ6H0ucAV89bVX89lmmy1cFNed+yzhjlUOk0byebzH2xvPf/fdd+crrrRiOFjwhcB48stzaegBQzsl//PPv5DzxYLDDz88jFvnL+cfTHes2sgIGJba+XF6j7c3Pv6K1eGzSHKfxXojRu9R/OADD1oN5YBL22SfPn3q0tTaLTIBw75nYvSegM1koDZHaw5rTcBwF8//wIMP2LrDCVOfRftMNeP388HWeQes/wcf5G0Cxyb9Y0OfPov5dCXckflLwRswTEz+zTbb3MbbjY/LNPY77rijgayRwvmH33WXnLD3Dn8kVW/omQjrJbm8nZnepy0bXT7wAG8H6fpabDHsw3wen8PbJy5/0prC+iymidF7AjaTgUaHnfCsNQHDwgiaCO/x9mQEFnf//faTunJtcZz997//bX4PLDIBw0LwebzH25nofT5yY9haEzAsTYMmwnu8nYne11hOz7LWBAwLIWgivMfbmeh9PnIZH/KrQ3S9yLaq5z9/PPNMJVKYNJLP4z3ezk29r5yzLYu1JmBYGgVNhPd4OxO9r61sZb+1JmBYaEET4T3ezsToe55+OVfcn+yzz77lpM5irQkYFn/QRHiPtzPR+1zgBqG1JmBY2gZNhPd4OxO9r8GkjmatCRgWf9BEeI+3M9H7XOAGobUmYFjaBk2E93g7E72vwaSOZq0JGBZ/0ER4j7cz0ftc4AahtSZgWNoGTYT3eDsTva/BpI5mrQkYFn/QRHiPtzPR+1zgBqG1JmBY2gZNhPd4OxO9r8GkjmatCRgWf9BEeI+3M9H7XOAC5Auo2++wve3/T/vD6cKw1gQYjxr1Xj7P3HMrT47fel4nx3I+boT/uP6C/R2f/6211loVF2rTjvBdsBKDvv8efPDBsfchf2SHnokI2PfYTAZi0wlA1pqA4VIe7wnYTAZazeourKa8UnMyeFv5ryzOCyiS/iKQhiatbClSSgwyeFszf6yY1sVVB1DklFv/IUPiXzxkw6a/plx/w/Uy8AlZ/3cNHy53SvJOof4vJ7GejFBCs5LB2yYkv2+n8coWyxNAiUEGb5vc84+jHfuKg8OFTbfD1jtW/UiKI6+p0ASMf/XVVqedebd81u6z5gMG9BcsBwr0gw4KBw5t7VEAaa2lRxOQHyuqV89eyQGLL6zWjC7YoyhVqB35tR8ds/3feP0NWkc+0Eodu+UrrriidFj76noMKLJj8vNYEJaTTu7zPxbm+x//yJdeSuYhn+jQ8+Cki3ULX2uMxdua9c/zG26gbSLsU3ChUbYJFErk97/+0Z24rsuW6FNUZHz37dh8VvpZl54k6wU0er5s/vXXX4ft0rUAFJmOny9GzDvfPPKH0kMOOaSY1nSE8AZva8/8ewnbAc1//aKQ5bPOOpul8MDnEjsZvK09+WN8HylaPSoxJuP8a6+zDt0Vg+OCSnrWZChYuv51jKXR+aELLjEm4/FrX12PAUV+f+P/0TI/sv0T9lP66A10sFR2M5QYZPC25vzP8y+++NLqi/nPFxusUFKw72/9az+a+f281QlettjED6DEIIO3Ned/rJjWxVUHUGRz/qEcxYpFvYxKbcjgba3Nv5bxLfmQPeO1k9/+7neFBDHShhtuZPswvvFsv333zS+5+JL8evq+R++yyXfeeWf5ZSKuv/jzPz6mnHHG6aFfMaZ1VEwt+aGHHWY56P0m1BfHLfQMaolBBm9rbfxGlAbfz/yzC6ul9L7nGK2TJb7zxRL4UhABKqQZ2GVGjdTMn1S0qJTqlRBQS8jghArpal6K9z3Xfyw9w2PeeeZxX+T0hP3DDz+QwZT6WzH+998fle+6665yKzzvGKbtNk3+1ttvxXk4GY8/uXKUjE2VRsbvBopGqezE8R9/PP2lKlx0YMn15//dZ+3uumUTkXoSsXRyIuYf/8z0uuuup2eJjZZQ55xzjuXHgWGoXFiNOTsyPwa4wgrLWw147CsOChdWLa2BDh0/8kepq91KbGkNtJn/wgsusLFgvW5c+5xOxIWc+PwhgonS+jIPA+SFDE6okMbjFmZU8kTMv8ktPz8LFNsf5j+vw9GjvwmF6drjd4MM6xaWuM7bs/4vvLC8TegzOxEXMuSDCunmXHvyYxRliQSQE5//TrozFds95PLL/6ScWizIC6m0C8+/IJ95lpktzqOPPmLtJ8X4P+HnRBcuAOp2MLpLb/+uyApttRiYqPEvueSStk65nnPMMXtIGeOLASrkFDT/rYY2MhtE0UU6fJDWSIGZDUxU/csdaMn5WZ/YTlny/r/nAgtOsvyFRKlqwzbQ4eNPE6pWXi0Tn59e2pbUefHFF6dkiAvZeflD5IJAXshmfqkAygFp66l5/jMpjr9W7mb9Cxtkx86//ffnX5DoLxTwTNWq+X/xxRfZvot/3fnqq6+GfpFw339efvnlfI011jAujiv8xyR6aWnFXatYwZB5vt2228oxiM+/br3ltk4d/+Sw/81ssseSJiZ646d5IjKTgZKvYCio0o5tV9DzmQ466CCLw8BzOzt/kiz0opk/ro7vq/78rCJ8CeKTQsXdcnrDaeycQ7zOWuguSd4JXHf9dfnee+1ND1qeI+wMdCez0UYbuhZhnvmVHbze9H2NHx2dEvM/+tij8mxc3vHS26ltJ887ZP+MVamzL3Yn1f/ZZ/9dOigMpWcDdnZ+fn6fHoR0/g0enD5jtbPzYw6xrCjzBI3/d/RXTxysZXukdbnddttailL8gqGgSjuxVTi8aUqc/3FwVp6Jrj9H8nWJkRWVfM4wZsy3pfnP8/LNt/wfmWJE15TOr6IWUeQClXwFQ0GVZmKrcHjT5Jz/97/nbUL/4MeSt4tt6QQyDg7VqV53U9L46e3ipe2/R4+58gfufyD/7rvvynOTBjd+/Lic7xLlZ3CuseaaSa0WWWTRCdr/cCX9vIiVVVTyFQys8kt7/PoCpjfhJuF808l5/vlO+z6LvWAoqJFS4fCmtsbPfrwgCceFZZdbtrSyfEz0W2wVDm9qK38SCwpLH6SsCrOr5h/73dh8/fXWd3cR6/nH/PPPl3wJ7qrjjytXUJUabYV5wg5vamv+/eQnP7F9Cs//GWaYgdpTBB+kEFOSw1bgsc+b2sqfxIJSDFKICZrk8cmCw5ua+WM1IkIFoyz5CoaCKg3FVuHwpmb9YzUiinUHKvkKhoLaZet/5bAr7brJEkssnn/55ZdxrChWkH1/8APZd/Xu3Tv/8AO9YY1dvlaYf7xPW5eOKTjPFRn+SH3//fcnbSS8D0KG/1H8uefuIe3npkcPvP3229qmwKvLX7RLDrcohSkYCqq0FFuFw5sw/gnNb3esah99yGKooo/8FSYY1UXLKk74snbzzTfLm7PnmGMOTV8i+8Ye19DFrDxbVjTzV+NDpJqAvrHHNfRmfqqAVV5xRdnq6s93GD788MP01rmjc357Kb744AKrbtTd8oXoYh3/5HKVlVfJl1tuuXzRRRfN55pzrvCiq/hFF+3lZzq0E7jllvBCBXexIKzJIIqd9brHNXQxK8+WFc3qxo/axT75xh5Pvvm/+urLfIkllpB1t/TSP8yHXTFMT/BlJ8w/z+c7VivG4mrX0ePn58jgwjy+/A09sOpRAMV+ed3jxuovjyHgCy48dvo/mB6NoMOsiKWOEBjC8zwO/goT5pC6aFnFaUf9+WVf2P5Qwz123wMdddIyk63j8lcOpGpsE7H/KefwCTye9PUv903L6wqfdEp7S8vQ7Wmnm5bWn3uDMc3Hp556qtC8OEave5ykqoyhbFpWNJvU23+hg9Snqk4xq2j3uscakZ/TjGMMto3d99hdnMqmZblZh+WvjB2MHZH/f/97P+eXEG22+WY2Tn6ZAbZ/jJ0vJvRcsGe++GKL54stvljOL5jsQSfPst9z+z8//371q19pEZNlsVhe9zg0qjCh4OqiZYEz3bS8HeAPtXqu8KRtBwVy0rjooz5UmGBUFy2rOB00/ypjB+Okyj/qvVHJ3ODabrzxxrEXXXz8yfQVxSqvE2QSjf/TTz7Nn3jsifz888/LV1hhBVsnsl8K5x+8/R1MN7H84x//yEe+NDL/nB/XkHyKnfW6x6FRhQkTXl20rOJ0ofm/2WbpvpHr/e677zbnv0yRrr/+k80HYyY5tcz/5viLFbA1r7NgEu7/3nnrnXwOu5kso0dV0WMTa/I/8cQTcozgF1uNeAS/HCqSvd6Sv/HGG/QIsdlK538X0K8Z40fb2NKFOOecc63tKquuko/jd90kH0cWu9c9Do0qTBiwumhZxZkExx+5sOqvympPXG8Eqs5L54k7DyuO95oxhEx9jz/+RN59lu5ywWGTTTYpkqMuzbQtL32UaAXde2ELjWqLSTETXyGLhIyZfIZoRS7vha2ZX1ZaUmNXGy5P8N1+e/i5oTsRlC9xrIdb25MvRWT3X/IMCx8+/Ws9X4wtb8jaD+QPGvdIIS8FxjXtPIFVtsTGATGlgfErW8gxhITXHAXPZJl/r732km2av2w/8/TT8pN8WWf8ZZb+y6MA4ugEdXb933uXLqyG/HyBk+cJ37GKT2flHziA71jV+cf54zNWkVllZ+W3LDJxdA6ZzYFG8u+xxx5JDXk8+9JPTpJtxW83Lr6Yp5L574dtuAPqz7EmZvvnZ6rKNmD7zG7yBVviJuumkEWmjSwmKn9X3P/tPmSP0vGHX+RT+khJtYYlHxka2f64nYRxAeJagbEmhzSs8XHcmvW/88676PjkeBr3Y/aHTptLum9v7fhb3P8+9tjj6HRtfiFIt7XvMgxrpfXAUs01Y5SG6pttdnwxCOOhMdx3332FqC6OQNV56TwBly0uWOxWUuOUUVd/YUl4zcHLcrayJY0eGnVS/sfocQ5Yt1j/++5XeIGPdNz3M+3hlDz+qjWSjq5z64/8++23f9wXyfaanv9iHeH8h89LfvnLX0pXm/X3c1Mma1yF4lJ/wSPb4gHys9t0/zdixIjYnpE01BipQ7Vm/X1tClUWl/oLnub+V6aP1ibMpKrp1Zx/MnF8ndIydYXtjw/v6637UzvH79evXxxkxfh/+1v9tdUmm24yQedf+/KLKsPxBceSo446KuSqqXHIz8/j70F3rep5Qrf86KOPlnZdof5agDh+vWNVdDUajJy4glpBTLcmiVJudC+dyM4626xW4LP+fJa1lhhttC9HDPsOONpoX3Jb0jCGEgGB62XSJFHKbUpuNvjDRIlQjlG0JE0Spcgs1IrdzfwoQiyF1KRcuzpLUvJEKbcouSWXLKbo/DfceGP4ktUtP+lEfkh1ThdWr4s7YroYx48CmNTjf4/vWKXc/v8BdAemfTqp/v3xKIBwIMKF1Uk9fhtnAO3Jv9OOO1n9cGA87PDDLHQSM1GMYqDkZoPO/Cl6/sswMBRTbNgGvo/xL7DAArb+sB3cTS/1k0+z/lQGXWFWClVtnVWBHXfakWrKd3DGi46H0YP6yzu4tDWHTsJb0mAvEdL2VVrSJFHK7JKbDe0Yv4+cxEwUz1Jcck/C/H47wH5s+F28HUgndFnqYHkMRUvSJFGKTM2k2YJPFLUYTAjlGEUL061JohSZHZv/6quvSeY/71tOOvFk15nOzY/oyZATBYwoS242NNe/FMhKISDWrC2U1DRRyi1Lbskliylu+zvllFNL8/+qv/4N06k8eLJ0pfFjgMmYEgWMKEtuNjS3PymQlUJArFlbKKlpopRbltySSxZT3PaH0SVjShQwoiy5ZeiymGLHf93117vz+265XlOLY/aIR7rmWmvK9Tf5A/cEjP+iiy6SdnLDkHyv7Zb/9oTfpvs0jqfl9GkF8y+V8P1jlplnzkeNej9wtYF1paZ9KWAwMN2aJEq5RcktDbW1QVXLjWssTLcmBDJTrIG3MA56KgrsGidY5NbnzrTkp512Wj7DjNPLxRb8hXvkyJFgxnxi4bhp7KAZX/WUY04AcqcPZ0aU1Kp0+FhjHPRUKNW8NU6wyJ1mCvyCVenwscY46KlQqnlrnGCRu5k/1EhqApxWRcsFH2uMg54KpZq3xgkWudNMgV+wKh0+1hgHPRVKNW+NEyxyd3b+UaNG5fPMTS8boy9Wq666qjzvltPLhVW+qEk7Yd7e9Rmrob+FXml34WONcdBToVTz1jgDS+5YDfllp05YHwWQVkXpIZYojNPY3ssU1VOONKXFAFxYDeNfcXB4eVVo9flnn+ZXXfW3/JRTTsl/feihOb9k6+GHH8q/+QYvFeK4aeygIYV4x437jh5zcUt+Ar0wzH+eePLJ/A9/+EP+61/9Or/wogvzcfQsRP0gSuPj33qrrfWASD8dwX77hBNOaHX81hdKl2aa8PyFMvjQhEM8hDVvAM38+WJLLGbrTf7iTNvArbfcjMq5ivkiMg56Koyv5honWOTuiut/663DNsHbd/jP20Tp00XHz+Oc0tY/v1wG8x/7Md53xk+Yy2JgHPRUGF3NNU6wyN0V5z8P79RT/2BzH9vAeeedh5Gr7MLjn9rX/9Q+/vMrXup58sn0hwX/ac7/Lrv/m9rnf3P8vKFrFSD8pi94Emz//GhEHH9ZvkzPtrdPRf6HRzxM7ze6rKLLYSzoOBjB/MBDD8XvEeGcd9iwKzSVb2rJCbj8/Bgaf/419MD4y9FyEA4YgqbCoqu5xgkWuSf1+Rfdseq6FvqH/kDWmOFuU3L7u+++O+/fv39YKfEOj969F5KXH4ylL/3fjaWXIIwfX4rXEfktKAdLAqoiy8RuLVJ6NDeMkrCslAzBlNhj+BpzJLSBkvaslAzN/FKSpC6xqDXmSGgDJe1ZKRnK9X/11dfyW+gZxCfRSdrhRxyR81vZX37Z7SzbyOndd951V87PM5ZPg/l9+6S73hEw38q//nrryY599tlnz19//XVjXc93rLoLD7PS4z8aGb8FINBWfs+twu++F+9Y1S/T3ehRAHjGqkaXZU2iGnNVqsQ2gB4FgC/vXAO5Y5WCffP16Hz//fdPnyMcasR8ftPik3RRFJ+6/K++8kp+5FFH5j179pQ8c/eYW5p8++23+W677SZ19/lXX311LWYSUBVZJnZk1yab0uNa8MxErM/TTvtDJLWCkrCslAzBlNhjwBpzJLSBkvaslAxdP/+yyy7r5oMef/mPHiiGlCSpSyxqjTkS2kBJe1ZKhimz/vwIIzlJpG0W2xn/4bj4KQ23ZJgyx18cZ51eGm7JMOnGv9yPeTuI55+8L+PtQLqU9CuOpsYcCW2gpD0rJcOkG7/k7sD8B9IXI64h5j/jv1z5l6QipXQlw5Q7/mSgNUppuCVDc/xSkqQusZg15khoAyXtWSkZ2l//q666qjT/+dzOf0rpSob25/d56nApXcnQzC8lSeoSq1ljjoQ2UNKelZKhWX8pSVKXWNQacyS0gZL2rJQMU3b9+b00/vjbp0+fpCKl4ZYMjY//LrqWgO9/IukGjYfoYmtrH59uzDej8xmmn9FizDzzTHTX6ihdJZ7oAtaYHaN1mLRnpWRofPytZ4pefRQA60mySBDED3DgD4nWaEpKl2+/83a+/PLhYeq0EpKVQidhrPtJcf7556cBWJuI/LG/6TXrUpJILLma+UNxSLRWpnLhPL9Z/1ZrF5xvv/V2vpW7E8pvG/yT0/U32CB/9dVXq0pdaeOwP/zh0vncPXq0vu5a61wb29+f//xn2o71y+pll12W9OPa6641H1+E0DtWE4oqE5G/IpqZOOx7eMGG2//EC6uB2gn5+cKq7u+0NoNWHCwPAP/xj38c7OX9H/aPM844Y/4QHTDl4+r/xptv5meccUY+aNDgJAbXn9+2OHbs2HzTzTYt+SQujZ/f0l35aWP864UL5+gf5yvdmVQROIZtbv+xFq0Wqux067/VGOWWts0PHjTILgJiHf71L3+NLVoL3AH5+UjQWopWnZNp/nSb0G28uE3EMXe98cfJU48mt/HzH7cw/yGv+ittB7Gj5cFMpvOv3NGyJQ6rc+bfXnvSM9XlPD5erL71tvCSUOpOZ+cvjzi1NPOjHp2z/hG9Tnb1+t9+++2l+b/HnkOsHF19/DbQGtAcPwrT3P7iXEBNnGzN2Tz+aqGoRlVl2mabbWgfFI+/v/jlL6ywkd8x8++ss89O9nc96LrCmDFjLF8RVOVfeeWVQwz9/nsMP2s1EoshyBecJFqjlRt6fseMv9H8FY8CCN2TwdSHqfdQe3aG//zMMV7p/gIR7vLAia1NCvrif8/f/64d6KD8YTQFEXpPIqCCn9R25ue798aPGy//W8bRyqQ7cMePhxyvess4silnXPCL3qJ+aUNvTBs/PvCIo3E0Fne2tt9wMqGWFBwk6insqfW24gnNWm0e4pKozdDO+vPwJegUmP+Zfz2TzzYbXq6R/hHCbz/dZ5klP/2M02UOyXiLC4yd5AMP3C/b3yq0M4ufUHUSAUUXUIP1/88LL+QzzTST7Cj55+Ly4aDh/3Xhwir6nzwKoAPyo7uJdPnZ/h7dsYr8ss+h/YxcWO3k/AP7DwwHEN3/Lbnkknnfvn3tAtcSiy+Rb77FFvnAgYPyaflt1eHCL/q63nrrJsNiZZ555knHEv44xePiO1YPOeSQkJPnDw62cf/7/HPPURQukIqAVPfLwvpfc401LC76x8/bqfwU6l/mTHj+YozafjOxmT/WIBRu9dVWs/WHeXbpJZdiJhTLS+1RxLKLLc365/kabpvAuYxsEyhdbZGCg0Q9hT213lY8oVmrzUNcErUZuuj6X423g7CfxTq79NJLqWiFTxcdv46y49b/jjvyc4bTc5X7/3m/Tqz6yWXdqKewp9bbiic0a7V5iEuiNkNz/TfrXz87zPPggw+W5v/2223fnP/N7a+1nUtz/8cVaO5/bT+iE8ItGzz+jKfrRHPMMUeyD7rxhhs7bf8zZMiQ5PvnAQe4d5Wg+9j2aw6uvznyiKS//fsPQMsoGxx/bOBQG/ltw+zE+WePApBuVRQiNQUNRkg3JoXq4OWY0aPzTz79NP+U/t92m/vrHj2rjy8mvPnWG+Jj/6effFp6c3uaImgwQraSn10lWmJwioMImZqCBiMkyCSvuOKK5CezuAihJ5/xQkdG4xdb4SQ/nqTSxZAKH9+1eOwxx2rGivzeATek+miZGJziILipKWgwQoJsUh1wQxbcQXVeB8FNTUGDERJkk+qAG7LgDqrzOghuagoajJAgm1QH3JAFd1DV+9lnn+WLL0bPfwtfUhZcsGe+1VZb5nv/7Gd5vPOR7+7GHMrylVZcqeYORI05hn4S/qNllpGYxx57rKXvqPX/7Zhv85/85CcSf8EFF8w/+uijZEzci/RRAN30jtWkIE5xEJ1NTUGDERJkk+qAOz4KALWjRwHYs13AosYOIlRqChqMkCCbVEf/wqMAcKFzwQV65rfedhtdu2KecvlRKbPNOputf/ljFG3/z/773xaVuf965l/53cPvzvknmH4uYN6wnH/+efOrr746P+G3J+T8gHD4Zpttdv3rYtJvpziIpDCtuNJKEsfnrLwgIQ21FdpCImZaZ+d1ENzUFDQYIUE2qQ64IQvuoDqvg+CmpqDBCAmySXXADVlwB9V5HQQ3NQUNRkiQTaoDbpZrrrkmrb84//n4cwE9XgTzT5qigcVJvJELHqTjK1QH3JBGSwxOcRDc1BQ0GCFBNqkOuCEL7qA6r4PgpqagBcH7X2xbkHrHvhLQFhIxm/PfKkHAVcdBMFJT0GCEBNmkOuCGZPca2A7c+ZduB+T0xBArNQUNRsjAjUIdcEOaPzE4xUFwU1PQYIQE2aQ64IYsuIPqvA6Cm5qCBiPJLegPg5j7kP/619PS3NEQTiUcCYuUxF5BBQE8SKW6pTrghjRCYnCKg+CmpqDBCAmySXXADVlwB9V5HQQ3NQUNRkiQTaoDbsiCO6jO6yC4qSloMEKCbFIdcEMW3EF1XgfBTU1BgxESZJPqgBuy4A6q8zoIbmoKGowkn3322dL832yzTaS5oyGcSjgSFimJvYIKAniQSnVLdcANaYTE4BQHwU1NQYMREmST6oAbsuAOqvM6CG5qChqMkCCbVAfckAV3UJ3XQXBTU9BghATZpDrghiy4g+q8DoKbmoIGIyTIJtUBN2TBHVTndRDc1BQ0GCFBNqkOuCEL7qA6r4PgpqagwQgJskl1wA1ZcAfVeR0ENzUFDUZIkE2qA27IgjuozusguKkpaDCSfOKJJ0r7n/fee0eaOxrCqYQjYZGS2MvUr7/+Kp+dvkPiOM/y38n3U22DQAgHCe9ddw6nP26H7yL0HXeaaabRawdFYqlLgQAeJAKbVAfckAV3UJ3XQXBTU9BghATZZIt7eRVIkEYqA6XUE8setZxwwvHJShk4cGBcl2gEWU6b8y3Eg+khvfx/RfpZ7YorrZivNHiloLNN/4uffOxXG3GDr6gPpvY33XQT5kKUFflh0i5Wd5QvrMrE44uiFRdG/aRUjC+7Zb5elI13m6Ht9jvsQF2pzs99LHuKlqgbAoDEYCukUuqJZU/REnVDAJAVeWFSSj2x7Claom4IABLJKqRS6ollT9ESdaD999tf5ss03abJ+QUoo+kPEv7DzzFZeumlk+2H51f3mbvnZ511VnL3Ksf8lF6MtNnmmwl/mmm6yQlgjIesbq7ABBnJJaSUlvxXv/6VXdzjZ6/g40PYy6vCBePkjlVqYFwASASrkEqpJxY97733blo36gseBWBcAMiKvDAppZ4IT/LyqjD+5ZZbLv/gg/8hVDJ+fl4qtnGWvP1fdNHFxgVA/uVXWN7qj3b818uXXn4F1PwFuqP45z//Wb7HHnvkI+iB5fpBDxuvPz8fGzkgh105zPJ4EKPDWrRE3RAAJJpWSKXUE8ueoiXqhgAgK/LCpJR6YtlTtETdEAAkklVIpdQTy56W/Kc//Wlp/fEjPIwLAFmRFyal1BPLnqIl6oYAIJGsQiqlnlj2FC1RNwQAWZEXJqW05P0H8DPj3fGbttdhw4bFmqJByRKTGAKAtLZloJR6YtlTtETdEABkOa1ZlFJPLHuKlqgbAoC0bGWglHpi2RMtP12nuB10y3k7sFUUqeXEwaKUemLZU7RE3RAAZG12dLWeWPYULVE3BADZYP71112/tF95cWTxcTPFoFE3BADZYP4qWjlE0RJ1QwCQVYGDTSn1xLKnaIm6IQDIZv7aCmiJ6gtV9hQtUTcEAFmbPd3+XqFzLZwPQa69zjqF1sWgUTcEAFmI4FWl1BPLnqIl6oYAIH3CAlZKPbHsKVqibggAspDTq0qpJ5Y9RUvUDQFA+oQFrJR6YtlTtETdEABkIadXlVJPLHuKlqgbAoD0CQtYKfXEsqdoibohAMhCTq8qpZ5Y9hQtUTcEAOkTFrBS6ollT9ESdUMAkIWcXlWKLk879bRk/zPddNPl4+gX0umnXjcPAGQaQLRL6TF/2Mex3HOvPStY2D96Vxr0zTffcHH0/Pnqv12tDVKqD2JYKfXEsqdoibohAEjLVgZKqSeyJz5j1dqjAUuHHQQVJtWhQYIVJb88hVcI7sQ84ojDo9MQ2rN0mOBf6VlYv//d7/N16Sey8U5QWjGFC5h8BZx/nsz/p59+ercS6eKly49JcvEl/uKFy1nIL12E2/VOu66OK664vJQPeSAxfui+/3Fc2lfjUL+Bd9iRL6zG6vj8Rav64tK6L8C0SPBj9hhUSGrhoNNSqwss0LwCTHM02Fg67CDIMKkODRKsVJpXgGmOBBtLhx0EGSbVoUGClUrzClDt62++ttv5zz/v3NCAfWCTpH98sfWA/Yfm3ehCaZwnOv8XX3yx/Ljjj6e70M7P+fb83r1723z55S9/aZ1ARA1tmvmTnIX8QgpN/nHffeGvTt3y/fbfL+2ri1a8sDpLd3p5FX8kTvvzWwgJ5rVyTH4UALYdlrz9DT2AX15V5kYb++An6SBSwqQ6NMg8udOY8y600EL5Rx+Hu3qFFrkc4+WXX3brVbd3vdOYeKBCEp8fIyB3Ibr93/nnF97IrJ2zpTUXYJr500Twt+Q//pF7Lizl4/n3V3pxQ/xEbrSVEVg6HtMcETaWDjsIMkyqQ4MEK5XmFWCaI8HG0mEHQYZJdWiQYKXSvAJMcyTYWDrsIMgwqQ4NEiyV668fL4Dg+FP98jG0Z+mwg4gMk+rQIMFKpXkFmOZIsLF02EGQYVIdGiRYqTSvANMcCTaWDjsI8o/kWcnp+cdVV7nn1oLoJMJoaNMqGOyDn6SDIMOkOjRIsFJpXgGmORJsLB12EGSYVIcGCVYqzSvANEeCjaXDDoIMk+rQIMFK5Xq0HWD+45hw2un+hWNoz9JhBxERJtWhQYKVSvMKMM2RYGPpsIMgw6Q6NEiwUmleAaY5EmwsHXYQZDatumr50QqvvfYaKCWJMBraNMeDjaXDDoIMk+rQIMFKpXkFmOZIsLF02EGQYVIdGiRYqTSvANMcCTaWDjsIMkyqQ4MEK5XmFWCaI8HG0mEHQYZJdWiQYKXSvAJMcyTYWDrsIMgwqQ4NEqxUmleAaY4EG0uHHQSZTW+8/kbp++dK9Oueug/CaGjTHB02lg47CDJMqkODBCuV5hVgmiPBxtJhB0GGSXVokGCl0rwCTHMk2Fg67CDIMKkODRKsVJpXgGmOBBtLhx0EGSbVoUGClUrzCjDNkWBj6bCDIMOkOjRIsFJpXgGmORJsLB12EGSYVIcGCVYqzSvANEeCjaXDDoIMk+rQIMFKpXkFmOZIsLF02EGQYVIdGiRYqTSvANMcCTaWDjsIMpu25vexuO9/Cy/cG+5KiTAa2jTHhY1lxC10sdZ+OUv5FlxgAfklemwYudFWRsz67rux9P2RzptxTYvi8S8w9ePjOOwgosJUbgdGWVobAaY5ImwsHXYQZJhUh6ayG7fVMdJX5VY+XIUyA1bINAAlpDt+uVWefT16dNZjzrmysWO/E52j3Xvfvdlaa6wZfqFYju6jFTNsv/0O2dVX/81TsmWW+VF28803ZvSTaopJayvkHz/uu+yLr7/K3n/v/ezFF0dmdIE2ows+OiDi0E+XsuWWWz6JVVSK+dUPK2SWffzRR9krr7yiVx7ojmAeP8/7FhqeXA5jjXJy/+Ru6BaC0/AF7mkoJNtpydOOsfvEDHk2zzzzZksssYTyuYFwy/XD+NnPW58xKBhfGRFdAsfoLmUCqxmwQiZNrP7N/K3X/4phl2W77TYk23LLLbLrr78+LWLQfIXvu+++bO+9f5a99tqrKZfnFM8t+vD65WnRp0+f7Jmnn8pmp22vo9Y/PbYjW3bZ5bJ33nk7++EPf5g99dST2cwzzyJ5/YLn3w033JBts/XW1p/u3WfNvvryy0k6/94f9V62YK9eUg+d9Xl2wNADsz+d+Ue1yT7equOHYNjX34y23VV76UCUPfnkk1J3Xh+DBw3OHnnkEclZtf2NGzcum3GmGTN61DKl0JhDhuyRXXzxxZYp5s6ynXbakfZlV5lpuumnzz75+KOMfvIvto7c/vv+4AfZSyNHWi6u47XXXp1tvfU2ZKsef0fmr8lAucNEj7Pb+tjMH4+/G2+6aXb7rbcl9fr9ib/LfnP4b6iE1dW1QhKoZsAK6VtQG9r+cfzvisefH/ygbzZy5Etx0LT/ve6aazJ6+aDYuvr446yYctb/Jptsmt122620fmi/IbuOPDuRtoMjjjgyrscKVDNCjVO3dXTx+c/rn56PRsf/p7Ri4fzjrbfeyhbq3bvLb/9T4vyXFUWTuer8o2Lam6k5/3V3YQUJhaQXo2a9+NySP2H+L7/88tlTTz/dnP9Twf4vHER45csU8Ivm8b9rn/9NDvv/1VZbPaPnPOu0o/3PwP79s8cef1z0jpx/F19ySbbXnnva9L7uuuuzrbbagvT2ff+ad/75s48++pBKyHMky3bYYafsL3+50uIXwZR2/KHrMFx+t1swxUBxjCUdTA7ERYI0Itnv/vvd2frrrSenoGynZ/9l9OzVjN5+nZ6WIlhqtVAA222/fXbt1VcTixLyF0P6d8YZZ2YHHTS0Mn9xv3fKySdnhx9xhOT/gi70zEAXJeTTYH70gyWaYNyQxgHBDClI3KYYSMkVGpjIC2lUEMyQArife+657OGHHtZ1aKOKm46t3NBcNym6BEz1l1VAZ2t8sZjzT8PzIGx0fEFZONSOc/FH2ypGftFIkTk0GeafeZaZs9123U077ZboP+oOaRQQzJCCB2jHyPOR3vae9V2qrxbHjT9lq/b1119nRx15ZHbW2edk41vGhcL6qmbZrrvumtFjAjJ6LkqIWRUpzl/xWl8NlBptT9sePcNTtpkRjzyardBvBV2f1KS4/fOF4m3o4pteWqbtvnv37KuvvkpiJplMMZBwqxQwUXdIcEfRH1R69lowmXMHDh2a/fHMM4WC9qmSWBGqUoKJvJD0qJOMnoFDefnPJHm2Il1YHfEoXVgtfNCezfPPN3/24YcfyNpnfcstt6y92L7zTnQw4gurYf/Xo8c82ccff9jQ/o9j4+PzS2KeRhEIrU+fPtkbb74RN2Cy3kgXzemuWWNi3JDSkBdJArMaOP+CC4jDJPqQmFy3f5vc2tMwnzp///fTddbJFpc/pIXEBYHyou6QRiPC5ltsnt1y882yKtjOq/iYY4/NjjvuuHT1IFhqtVBVAE2QF9K4IJghBYnbFAMpuUIDE3khjQqCGVKQuE0xkJKdthhtE6+/8aZtf1zV62+4Ltti8y1lqhi1jVCJOyhXXjmM9pNfSwjbq2PnGgKrvfPn3+SSf9fddpPzRqtrAKgf1juk8UAgw+abb05/fL85bLvK4O3geNoO5GNcA2pvZQkm8kJaExDMkILEbYqBlFyhgYm8kEYFwQwpSNymGEjJBW3ppZfJ/vvif3QfH6rKF5sWXHCByGwjVOI2Jaf1dEs2atSouK6m8vn/fR1/Jpftv6PH333WWbOdd945PdK5+adHyTiNq9AHH3yYzb/AfMn8X4rO4UeOfDHSLWY0eZS4TTHgqZUYTGz3kEYGwQwpSNymGEjJFRqYyAtpVBDMkILEbYqBlFyhgYm8kEYFwQwpSNymGEjJFRqYyAtpVBDMkILEbYqBlFyhgYm8kEYFwQwpSNymGEjJFRqYyAtpVBDMkILEbYqBlFyhgYm8kEYFwQwpSNymGEjJFRqYyAtpVBDMkILEbYqBlFzQisffVVdbJbv/nw9M9Pmn7tB4z59ln37ySbZU374Z/dpSzIcffnh20kknWU/QU4wbskQwQ0bXOZbKXnr5ZbOsu+662fDhw11aRDVKLQATeSGtAQhmSEHiNsVASq7QwERelvR9Nv3ojay4rVV9iU1euJK2aV3T1oceeqik45T8f53Sc2gqcoXAVfmX6rsUX7eLMQmPfPHFiq7EsQiiBcs333yT/2ib91uhX9JG2bqEI7G1c/wcS+LQIo2OLCqTXMGV2Dox/x/P/GOsp1yt4SumXGO+ciN/5A7+YC/Un+uZ8Lw/+LD+Ex58eKCx6Jxz8so/L72RXd+Wna6z1rW4tgXRIlrKLdWXMhJbYf2/++67+emnn54P2XNIvukmm+T7779/ftH//V/+9NP6AgmfTeLQIo2e9iHJFVzedsXll9t6+f2Jv08bV2jXXXdtmDM6N7rP0n2i8ren/sVHAfDcwzNWi132Y4UvsRXqD06VLD5jddDgwVJ8jVfVIs970eMCdBvR+b8lvcCsLj/dsRprS9vaPHP3qAgaswmiRbSU6epLGaz1WqiX7C+tb5Tv5pvp2dRtfmIsQbSIFm2sMWl+TObbP/Zvtl/y+zfC8EMmxyfs45w0Hmw14x925ZVUqFC1CZh/Wl1tV/WSGfrDTGntKTtdQ4mtnfk5kcShRRo97UKSK7gS22SUf6He2FZ57ur6l+e1J0OKoxVEi2hJiKKoryXv1YtjT17HvzhfQ78m0fzH+ccoeqRLe/b/qDLXdovN48uWMJ4j3XaA+qMNy8Q2Gc0/38d6rL23cZAaLeVWyViDO7EVxr/IIovoMcjt/z788EMXOGYTRItocbSKXCutvErz/FO2MT4XiMcX2y9M4u0P20tXyd+bzrWKH52b6QxNbIX5/8knn5Tm/8L0GK74ibEE0SJaIgtIfSkjsRXyo129jLEE0SJayq3UlzISWzN/uWitWmItBdEiWsoN1ZcyEluz/uWitWqJtRREi2gpN1Rfykhsk1n955133mT/s9566xUGFcciiBbRUqCSqr6UsfseQ+z4s+0220zgKViMJYgWLH9Mj9GKx5MsX2GFFaQzytYlepfYJrP6o49FWbiw6gZk0IAbuIbBGIWR0gp5WvJ+/frZlw8+MJ98yskFDqsuiEEDwmeNLybRH691QsmX0m75Yn0WE3/1Io3BnG9GfyP9+Rm9dT1+HM+gAaF5bULGH3O0hlx0gwY6Pf+ZfzzD1VTr6ye/XQDhk7xC/cWX2LB+9KQQfo1X8cUsOXFEW38yGW1ykpnkCjkSG/gdl38eurDq10ZXW/9tbX+vv/56Ptvs+lbAVVZZmZ6VMi7OSV8YN8XpJwNxTtH6mRXPWHWcCF0QgwZirtCg0frby6soP+bf0AP5GavFj8tl0ICQvdZWfn0mTZx/g+mFe61/WuQ5rH47o8dDJE18/h12wIVVzTH3PHMn3Kj4VtFaRo5nUEGfRfvE9Ri2/+uvv0FCCMP45ajJvKpwY7xV+5oq2/e1/aOfkzr/lXJhVQvny9zW/Iulbsk324xeZOfmP+Pjjj8uUgS56AYNFBl2giWMlFYft+BJVRfEoIHJLv+itk2EbZxqev0Nuk3Ujit1FLQ41l49e8n21pz/OI5nOf+BLFaI9ipBEeEdhar6/c/mvB3ggjWtL96W6a7t0MIFMWhAOF5rT/5S1xKDi27QwGSZf+GFF9Z6Uh3xh6SPPgrPEbexpWMwcwk4HkF+WW1z/sf5/30df3xe4K5w/s9/GEs/6fxTn7ORwWu8/euF1bj/5/rws/TTj2+VelLN8QwaEKrXmvsfrZ7UxBcmLSpprTod2/EMGhCe15r119JJTXxhXEUdo2QtG1wQgwaE7rVm/fPwDqG4/9mEbq4qf3zVyt5ocbwAL6B3dmCfzy9+/2ZMfKn2xNSfX/yK8wWOv+yyy1I3yvkTW8po1/lfHGsV6rj88igAGph9uIp0MiMfj4PJCfW2zlE630o897zzZlQJic1tHqefyA7o1z8mC5F9PI9d4uyySy/N9hgyxJuyfffbNzv7rLMTm1c0Voz4HT3P8FcHHZxtvOkmGb0x2aiRwWeKpe4ZD97WOZGuvMgWFFUjepPHRjCg3tY5Rg5jiWxBURXiW2++lb340ki9jZx8fFbLmyw/J09ubyZFNmFi80+buTq8lKfD8qRhpeLDP4VuISez9WfRSqVHy0oOMlpbiRr0yS3/DDNMn9EL2MIIpacyZO5uW58iW3Q1Jk3Z9MknH2fDrhiWPf/CC9l///Mf+Ulonz59snXX+2m2y047Z3Rxk1jFiEmYRDnyN0dm004/XXbC8ceRXXvbWn6Mp9i9nXbeKfvrX/4qEdZeZ+1sMXqWMW5/Z6PgQqPXX38tu+fv90hvuVMce++f/Ux0rP+11lor22677did1LMQSvxxod7WOcp+n35OuGDPnqJwfm5zAD0K4E9/pEcBYLBK7dD88VEAmnPw4EH0jNVHJZP0u6Lz/Gy6d999RxsQs/5RADk9Y3VneV60BKRx9OgxtzzjOQwlEZoqJqzLHxnpuuBn6b7IP28jAmp4DT1PcutttimWMMkLRePG6IKCes+9ND/oedT8EVNIMLlt/3I9RrtJ/dTO87Kz938//vGy2QILzC/1iYuYvzCFI8WhjTbeOLvj9ttt3bHr5BNPyg474nDHSte5ZkjcTpmw/EW26BUJvMljlzhA9bbOia2KbNErGnuTxzESUE7Pl16antkefvIZ5uw1V1+TbbMtP3c4/WisGFFQVI0MEz83a/S3Y5rHXyoIzj9WX2M1evzMDKFWWinUywpYA8DeZONNsttoO+AP9mP8szb+eRt/fDyPxZksELF0CElYUIps0SsSeJPHiBOlelvn1LOlXUVjb/I4RgJSrz17G8Uk9/vvv5/NT89Q8x9lx4iCompUb3qCnk/+GT0uDOv/+9r/NvN3zfP/WWacKVtltVVt7jHw88/jhCSKeuVRAPPTowDc/F9yySWzl15yz962uDGioKhaeG/y2AgG1Ns6x8jubIU7GsZZ0dibPI6RgNTbOgdc1DWyBUXViN7ksREMqLd1jpGb46dS6Lf15vrnWSHzpmLyeJPHcSYBqbd1DridN//nmHPO7IvPP7f9z/rrrZ/dededMXFAxd6KXtF5b/rHP/+ZrUc/0acbqDK6wzT75z//Qd8xe9RELKVMDMX8P1522ewFevQk23nfudSSS9HjU0aG7VSb+r4kwUQpRiwzvKXIFr0igTd57GMpVm8tB9dt3bVamIJsCdeRHcOggVIbb6DnLFL+cFWd5tjc9JPV8eP1bjfw6iLxFWv1Rca222xL37k1nv7ltFt+++23IxTJyGUjR/jXv57Nx4wZ43xFDjOrPuX8MXwaI7auszMDPkhtlWoxUtX4LUQEvoHLUTCLikyQykk13645fq2Nq5BBA75ghOvsTIMPUptCu/DCC+kn3XPz9ur+u22H7kq8chj/NJg/aKVaXEY7PYs1n3W2WfOFF14kuOGDVHOqxUh+/m200Ubhr0z81Nx0+4v9DX2Vo3gFpnHFux3UTy+dqx2Jz2+9ss4aMFfVaPRRAKEvIf/QoQckbeoiTUz+AQMG6joMtRjMjwKwkaYZofHdDnScsXXPd6yqD4wYYscddwi11LHNTfNGP44bLFHAB9lWC93+l1tuqbqL3QAAQABJREFU2WQsvP7r34Cexo65GcEH2Vj+2M6FsFgaIy7T2NHOCD5I9aaab9E19n/rr7+BzSlsf6effoYNtKuP3wbageuftwmcf2D/d9VVf6NU9dWMvpSTarG3zFefYxg04Bs087dS//XXX690/OHtoK6Szfq3Pv9WWGF52q/EYyvjt99+qzAfvYpKQ6ov1VK++hzDoAHfgHCdnWnwQWrTVFMbPOpzDIMGfAPCdXamwQepTVNNbfCozzEMGvANCNfZmQYfpDZNNbXBoz7HMGjANyBcZ2cafJDaNNXUBo/6HMOgAd+AcJ2dafBBatNUUxs86nMMgy10F/27pfm/7LI/9gEKGI0hkaVAM7X17c9oCUhjJ64OHn8aG1ozPypRlqgNpDJSzbdqrn+tjauQQQO+YITr7EyDD1Kbppra4FGfYxg04BsQrrMzDT5IbZpqaoNHfY5hsCVfYonFk/3Pmmuu5XL4OMBoDIks8KukF7DTdTq9DrHkUn3z998fFQnW1ED0Caqzs1N9vXr1dP3ulvcfMKAQA+qUOf/pjlW+VUj/iiFXYklT1YCYqxYpQ19PY5Gcc79998nOOfc8iquXDPQurOtCSEdki6kGktTjx4/P6LkSGb+ZHJ+ZZppJ7vKbid5MXpX/2muuzrbdbvvs9jvuyDZYfwPpBtq6hGqytAYitYBSho6f+38X/cVgHF3lR2f4ukrOl0vojU55i5ZB8nJn9VZQ5XJA5vF5Kv9nTB9dSgvR+S2U9EyKWCqx1tdfWkpcQhwaAUO7mIEM3AfxGxBW1SJlNPPr/bihUklxSGmg/n/4w6nZoYcepgF4HXCMmg9d5Mz4pT8L4Y2kPMdoxdmqDflPpxdi/fqQQ+iO0O2zq/521USt/43prjf6A0ZNj2Aud9wsYftXJnUwOJZZZpns+eefN3NHz7/3R71Hd6zSm1tdfrqwmp0pL68KhUL3TTUAT0mmjHL9Bw7Cy6t0VQ5eccVsxMMjWt3+ei/UO3uH71gNtam/YzXLdqSXV131179av3rM7e5YTTpHSgPzTwJZOwNixt23lozAFcOGZbvQyx/0Ux5/MhknMr/PC5z2sJm/avvHuvnpOutm99x3r9un5NnZ55yd7bvPPkThyRY+VlQD8JRkypj66j+AXk73JP3yxn+GDbuSXoiyk9bZykqVas5/mWbf9/nHOrQd3Et3yMsKCvvYs8+m7WDffXU12qQ24FdvglPG1Df/efyrrLxyNmLECFeXbhn/SmXRRRZ1uxViNuf/ZDH/v+/tr6vlf/uttzJ6znAy/+WXSSPoJaXN/X+oS3P7b+7/aGOgf11t+7dNvOb7t24AnTf/Vxw8OHvsscds/zN48Ir0q0g6HlPK9u5/3qPvy/wSrNdefT1bdNFFM/71FN3wYzkAkhQTOP5Z6EXgo8eM0X5SwA023IB+UXeH63caHTm9TBmT2/kXLgzblXQ14DoxX3itvf5c4yia6Y1ifFrFdRB57nnnVsRMW8WsEXHPHh7xsMRBLJZ8N47/+EhjRo/J6Y3K+cwzzZR/RXfv4Yq552jb1BKzRuRzCE6biIl+Hmv9477R7LZx+z7DrhytTRmHOwEKd//tsMMOVV227hW7BV2lX1oTAmAhNPQJGz+3RkuNFHWfuciJrKkz//33/zOfbrrpZK5MO+20+e577J5feull+U033ZgfefRR+bzzzqfzSuaCzpe55pgzv+KKK1Bmk6jtyy+/nM9CL4vieXXJxReH9eLXgjUhgFZqi2s9onjHatyWdc6mczydx6kP+wE//+nCakP5fW8Fp102d9H8Lj2bD3khDxh6oPEVpK3iqCMqNCiWzNyI5J+xynnl5VXJWrAmBLQV37Ea69ctj3eseq7inQrPWOU7nfmD/MqKutr9EoxyqzhqRaussmpp/l1O87Pq0xn5q/KUBhpIzfxptbgea625hqw/zH/e/v6PXnIXP2nVius/8hxKm5ijaIau0i+tCQGw1DYl5F+VX65TOMZfdtllhZHEkfmRp6PlMaeWKWH8hS7riiuNJI5schg/tgN//NHtoFl/W4GyDlGPOBO9XzBR+CW0qCX2LSNfeimhxkhsVg22SEwtMWtEkRtQ2sTcRTN0lX5pTQiApbaYNSLPFpw2MXfRDF2lX1oTAmCpLWaNyLMFp03MXTRDV+mX1oQAWGqLWSPybMFpE3MXzdBV+qU1IQCW2mLWiDxbcNrE3EUzdJV+aU0IgKW2mDUizxZMTfjOruL8X4OOtf6DyD4zbJGXWmLWiCI3oLSJuYtm6Cr90poQAEttMWtEni04bWLuohm6Sr+0JgTAUlvMGpFnC06bmLtohq7SL60JAbDUFrNG5NmC0ybmLpqhq/RLa0IALLXFrBF5tuC0ibmLZugq/dKaEABLbTFrRJ4tOG1i7qIZukq/tCYEwFJbzBqRZwtOm5i7aIau0i+tCQGw1BazRuTZgtMm5i6aoav0S2tCACy1xawRebZgaiLfyd01pj59+hQixcg+c5qNo6mFn4/O38f5vLYnPef/lVdeLsWzfpSDoFtGYQCaypZ8ND2nFftMfNelmxEKbWIroITgAxccRT50lX7pG4Kltlj1iDxbcNrE3GymvyDQwAMhCeEaKXRL55OyxQAWXEFL/s7b79CNNOECoXwJyXJ6lkLCi81d4BJUw1FHH60rxV1g+tOZZyJdEvezzz7N6ZkTkp8nYN1nQvJLL1zfiuPnC13FSVMcPyZTKmON6MY6mdg4UWWexztsv6MbCnUmDsDZGbKvYKpQY3NHLkE1yNL5iuNPwxMx4aZeaM38eT5w4CBZ573pjaLPPffvpG5cwq++/CLfa6+9hCPzy81/fiGHbFOu1sOHD8/nm0/fGDgPvTnw448/RrlLstH6t4xvyb8bNz4f9x39p0d5jBvH/78jnf4zppdZqY38wUd/hUq2/+708ir1gTuOXoI1XvrUGfsfnn/6KADdprDNDR0aX17V6Pi5k1JiV+fW5v8AfkA37/PC/k8fBVAqv9t89eVVfvuPF1Y1qc+/4454eZWObe4eeBQAchA76SvsqWxk/GuvtWaYe5yL9lU0/y666CIKxDlCklIu9qW5qrTY3JFLUA2ydL5mfipGLGChvOxT06qrhgvj4RjM8/Lyyy8XZ2zuCluCapCl803N9adnQ7ttQrdB3SawGqhQSa1gT2Wz/lqPztr/+2pXbQeXXRa2A7+y3HpT6JbONzXPf67rJptsXNoGnn2Wzl/kQ4VKahXMBdGc/6iWK1YJqkGWzje1z7/ve/x8ro5zSsiNNto4zHBaUcm6Kkx8sAJnUuz/qnrQ3P60Ks36u8lagmqQpfN939vf1J5///33S/Y/9Ottt4nTikrWlXM5iO3/8y8+z/v37y+PSpqXXtRN73cRloZwyyQmKRTg7bffzu+9514XlSH7CiZS36GXz2NfCXn00ccQ1ZFLUA2ydD7NEQyJvT5/sUcYf0fmlwurxUSiV3XSiKELJQ4TXPfIz1/eUDz+Mk4/dRUOM7+jCzKjRr3HsPwpxVaD3gWmX2LkYiPFHLLnkPz4E47PjzrqqPzggw7Md91tt/yn9Jd0etGB5T7//As0h4QpBW84P4LUhbnm6r/lc/Xokc9N/3vMRf9Z9phLJT1blm1zQxdf4JBP2ohtbuJxG5KkczyOobJHvvfee+kUrBxGWn/01wZY13EjBFCK7Q2Nr/9mfq6Aq11F/Z955hm5UDXH7LPnL7zwQqlk3nDTTTfZBVPMf96uuk3TLee39m2y8Ub5ovRXK38h/tJLL9EQvKzIH50OuS6r1RsaX/933XWXbYPcz+50B21SD5cygT6dOLyh8fzc9D3syCk/74u4Nv7CapIXik8nNm9oLP+A/gPi2Cnn4BXpGasSxsdCQpV6xyr+yMJ3rG4ZCL6N5pc7VnlM4b8+YzX0jVtZEwNt5g/JXFu1bLAB/YGKxuD/n3fOuUaPoHPypx1qrP4dOf4pPT9f1Jd5EuY/r8e//e2quNqKyE0ZdXlDs/5cjQ35ubVu++OannfuORXTztVOoNOLdYdeonhDs/71ZWx9/zN40ODk2KjbAT8Xt/Dx5RaXNzTrj/pvt/12cRsI+5YHHnxQi2klM9Du48+Uvv+12YXCmaEGuJIViklqc/7Vl7H17V93zqXilldCieINsf4P8S8ocQwI83+rrbcurDLXVqDTy5kLbUHwbWJ+eKOctOOPeYGa+W1NlUFz/yc1scJg0pRlieINzfmPMt50802l/c8HH36o9bSSGaidf9+M/iZfY/XV5fvdnHPOlT/z9NOFdeJiFI4/fJMVf7edb775qE3b2//zFX+MohcYp/l8OvF4w+S//t2FVe142v0wVm8sDlJ8sW1Kbcn5rip/kWf3PfawAu5/wP708+fp8w8++IBsMQYIFiuA/334QT7tNPwu8XiBpAoXbdPQHWN8lZw/FhNJTLad36g+ijSLbdP4UQOCjLGA1OP9hg2kXNHEpwReptSoAUEiUpTq8X7DBsB2BoGq89J5Eg12SESKUj3eb9gA2M4gUHVeOk+iwQ6JSFGqx/sNGwDbGQSqzkvnSTTYIRGJ5SGHHCLbyIknn5S0N64BbfUhbS877pRuV34b8/N/yJAh0gghIDWSX6rH+w0bAN8ZBKrOS+cRjS+s+r7NQnesVn9iDPg//fyz/M477swfuP/+vGW83tWqPpdFYGzrPERVbZS8YCC9KDi05lEAvr1hA+iZMwhUnZfOkw/o30/2VRj/oEGDEj+iqdSWC/bsqfUKJ+tbbkEXVn1QIathJ3fHKuegZ6wWqLEhEGSamzX1eL9hAptvvrkcwDEWnmOnn3ZaaBbbWhvXzxgdWcRZWMQYcFgsAyVPM7/UJtYuLVXUfkQv1MB+QWW3/IYbb0BBScYYMFprAyXPVF3/LXibKJyL/IG3CfvEwgFBGsWAerzfsAGQnUGg6rx0nkSDHRKRolSP9xs2ALYzCFSdl86TaLBDIlKU6vF+wwbAdgaBqvPSeRIN9h/9GNuB3nXPd9/fcANvBzFGKQsaw+GziC+2TalRA4K0UAbU4/2GDYDsDAJV56XzJBrskIgUpXq837ABsKNh9912T45xvD3EF8lGHhAkIkWpHu83bABsZxCoOi+dJ9Fgh0SkKNXj/YYNgO0MAlXnpfMkGuyQiBSlerzfsAGwnUGg6rx0nkSDHRKRolSP9xs2ALYzCFSdl86TaLBDIlKU6vF+wwbAdgaBqvPSeRINdkhEilI93m/YANjRwOenPOf9edGuu+4aiJEHBIlIUarH+w0bANsZBKrOS+dJNNghESlK9Xi/YQNgO4NA1XnpPKY9+cTj+VnnnJ3feuut4XF8iONljAGrxTJQ8oSEsW1KjRoQJCJFqR7vN2wAbGcQqDovnSfRYIdEpCjV4/2GDYDtDAJV56XzJBrskIgUpXq837ABsJ1BoOq8dJ5Egx0SkaJUj/cbNgC2MwhUnZfOk2iwQyJSlOrxfsMGwHYGgarz0nkSDXZIRIpSPd5v2ADY0fD5Z5/TNbRpk/3PhB5/vxs7Nt9oQ71JoPuss+aPjnhEElkWA+X8PGC+a5b3fwfTdYyUGjUglnfffTftM+P51wwzzJCP/oYf05nWD20KQVOWkJTJS2vDwZwGO6S4k4V6vN+wATRwBoGq8xIefRRABV9MuEfWNbCWaAOJiE4fTz8dnoduKcYXOZZXXslvNG/J+VlkrB9AF1etqYEQpJCf22qseJGEf+J/wQUX5Gf+8U/5ySefInet/vznv8iX/uHSuvIoR79+/cKIkSDIVMSq2BjAd65oAktl0V6pwxhkKlyS6vGLFSHS7BVtCwRph8ZpYljjimjm11pbZWJpoiktcNFeqcMYZBBvvvVWftZZZ+fffP1NISb4bvVGU37LLbfkP/nJT2z74je1Y1vrRc9HueGGG2M8aYfGQabCJQnNCtufWBEiRlZUtAc93rGqfeNHAViiVvI/TX8xm48eYYDtfSF6RAI/MzauiEIHavIz67nnnrN9AeLJHaut5JfoEzn+ZZb5kfWfDyRLL/3D0Ok0sXWdwOx01zL6yHK99dbTroSWfvzbbUd3CxFH/3cLdwOnKdBM2yFTfX7jM3Dj32bbbV0uzXn88cdHOkLDUqnDOOH50dKPH6lEGiFYK3UYg0xFeW658aPllJp/8cWWKK2/22+7PS2dDRI1jAZDBgIHomiv1GEMMhVTXP23TbaJbnRy2S0//vjjtCIYalIfGNOBw1qaW11o/k3s/qe2Rkl9oZC0BsEmeku++OL8Fl3sM+mCCP0B67bbdTsot4lBDBlwuRgW7ZU6jEGmoiIG+M4VTWkHivZKHcYgU+GShNANzL999tnHjj84/7jqKroTHqnQS9FhTBPDWm5jnuiKJkRWWbRX6jAGmYqKPoPvXNHUzO8rUKxLpQ5jkKlwRQ6BG5h/1gWEhqFShzFNDGucZI3nv/rqq0vz/xe/+GXFWDgmMnVcfgzXQsOAVIkO46TJ/xld9FluueWsPrzfnX/++fNHH9ULN+gzegUdXfbnn7UckI0QDJU6jEGmIq4eiwm+c0UTWCqL9kodxiBT4ZJgDOA7VzQ18/sKFOtSqcMYZCpckaes+q+88sq0jen5J29jhx12eMVYeEzl8be0jM+3le+R+v38jDPOyPkXtPKfvoMDP222Z3LGjz/+OL3/5aacXmht2/fIF90jPpEK60h0NR5xxOGhjZ5/rUKPKZNPqU00GDKAwEEW7ZU6jEGmIpYHoSfi+BPvWHVBEJdloSveZRicyFYXXxyRk1i++yqczL43alT+d7piPf3009NOd9l8zJhvldxA/p132TlcmddJwCdyt912m/WxmH+rrbaSvPyYAOlj7GjouzM0kN8GXAAxSkQFSjM/F6RUHmdo1r84ZURHhSCrSM/T4wOuvfba/Pzzz8vv/vvd9HiNUSWatC8FcYZOqr9cWHXbv15YRffq86+19tq2z8BPmDem57lVfWKUiDyP78zD/gdy5513Jorjd8L4F1xwQc0bxj/vPPPSuaLLWcj/1Vdf5Xx3PfrIsv+AATIU3wpjW2/d9RIu8z/++CO4EyntS0GcIelXbArGzjvv4u5Y1T4ezgdw+oDjUYygSDiRGNzO0EZ+xyyGbua3itRXaf4FFijNlXvu+bu19F9iojGu0frIkeORj8FY2peCOMMUuP533WXXUk0PO+zQ4tBF74rjx0DjWowIPsjJZfwLVG4H9DO0KXD+JbUVZdLX/4QTTihtAxdccCG6ZnJyWf/WoWK9mus/LU3QMKMgq0jRF1GRJ56S2xmm0Przi+/8+Rrj444Lf1xzReiq4+chxrUYEdv/9Kc/aW3c+T/XZwG6uPrNN3wTieNPoeufxxlHERHb/Uc8JbczNMfvy2UYFYI0hwPRF5FzCxRPye0MU3D9//TnPyf7IH4kYPFTN/743ha9RufvvLf9GrZfkuqP19/AWWONNSilq2ehAz7/8ssvn/T3/PPPp6bVbWGFLIQVNfoiKvLEU3I7QwfnjxdWfU9cvkLPPYtwkZhazqMLPSg8JF/Q4GefzjHXHPmL/32xEC+oxbCs08DnDS/j0Vjd8hlnnCH/OtxCjEC+6RG/OULy8wXe5EMk9ySIxCWKD8KGom4tyo6yxcgREKmZv5VKFV1F3SpZdpQtRo6ASM36t1KpoquoWyXLjqIl3rGqO265sEqktuqfbuu6Q1/mR8tYZgXFbOVNlZ/jvMoqeHt3/APPIn0Wyb/84stCvKAWwxZ1a1V2wDJixAh99g2dSGLfx/LOu+6UTlaN/7zzeH8ZLqyGg9k09OiTV1951TICvEK2mWeeKVzsjAe6Y449FpR6SZ2sym8NMAgYSN+bX5yGA6yMqVu+3377gmGy2NQcHrQjv28ecTlb2RLZhqbC/MU7oXldPvhAeBaiFSaAYhGLuvHLjrLFyBEQaULnX2zsUTlb2eL5AXdQ/r322rO0/e27334VCQumDspf3ttVWQq5WZ2K89t2IF8SdL/5wAMPpEUqTqKibuyyo2wxcgRE6grzn0dx2eWXyZ3afGzDHaunnnpqHGsV6kLjLw5valv/U/v4Tz/jdJv3mP+XXHJJsSypPpXM/1/u88vk3NefBw+7clhaE68VN6Kibtyyo2wxcgRE6ir73zgoRc3xFytSoXex9T9m9Jicb+LB/odvWvz6a/1pfcXo7fzvkIMPidunfbdLv39im5ULqsbh77SRx3nlVyqUrK359/7772s/w/nXvPSrVP0ji+tpMUhRN2rZUbYYOQIidfb2n15YlYQxf91VZGO4USh0BiIdd+xxVER3YSGsmO6zzJrzhYeUTQ3IkNjcVeQnnnhCJ0GIwXHXXmvtQleS1vTciI3yheknxBqUfaGcgZayW89viTxwARQ6A/OgiuRFM7+VwpWHSyUfcorf9ESDNUrnVugMzIIqkhfN+lspXHm4VPIhp/hNTzRYo3Ruhc7ALFKHF15eJc9YDbQCW/iw8Uvq/F/HeAfPtuQDsqay5bP/fja/9rrr8lNPOTVf3h6VQPshOzDoQaHvD3+QH330UfSCvcvym2+6OecDlAtJ/Um0JLUozq2wJb/l5pvzA+kFenwBWb9spvu/GWacMd93n/3kpX7j6GcYfADkux5223U3uls1Pj86tu2W80upDj300Pzpp57OL/y/C/Nddtkln5ne/oiDnh3k5Mst7RfXWTs/7fTT8+uuvU77LJ3jRfvn/8EHH1za/w7ZQ5/fy0kwfk0YlmoMzonLn8SFgvikN/NzUVxBvErmaaeluVWY//+i7ST5EC+J0I75X4wnugTlRfvnXxIXiuusQmdgDlSRvOjY/AcfFLYJnGTS9odnWksXOzm/jc+GioSSvdPHPyXmn2baaWk/Fr8U8D702WfDdkDlSyrYnP9hItUIKtZ9990X6xmOP3z8kw+KKZIXHbv9+ZWlqZAw9BeqSF4081sppBqhThDkFL/piQZrlM6t0BmYBVUkL7pe/fW8KOxPwvy3F7FMBePHZNChYsBqPfOPZ1Z+/+f97zHHHGPTAzHYkERo7n+tNJXAFUuhM3ADqCJ50fW2P9RFh4oBBytUkbzouuP/45lnyvczXAC95x7+FY6vQzr+3/72t+77QPyjaPxOyTZ3AVVw/A6tPv1uOw/9EnPMt/zLcyT0eWHW/FcMGxbPF+j7yHHHHRvIyksiTMHbv15YTUaj40xNTnMwVqQaPfTQQ/SFjk9k40paaqml8ocffjhNUhEzNbXkxYnAXxLb+sv4XXcNpwsmN1V3jq1IAumYqclpDjp6+yBiQbooqclpDjp6+yBiQbooqclpDjp6+yBiQbooqclpDjp6+yBiQbooqclpDjp6+yBiQbooqclpDjp6+yBiQbooqclpDjp6LcSFVeyku3efJXIRCzJ68mvo0QZ8t6bs6Glbn2666XJ+A6Jts45bhHxXvB4g0hNe+0Jt+yNc9CQe5Xg3vOCO46VdcpqDxbys9+3bN+ROD0oYPw5crPOF3A/pDY7TTzdDcpADxyT1jfEJv6ODIUn5H2yml8ZEP7laYMGqLkYbxgIZPaXxn3TSSWkfKT8/43WiPsgL6YKlJqc56Ojtg4gF6aKkJqc56Ojtg4gF6aKkJqc56Oitwm/ppKdq/r37jr7QsbCyJVaaxmkOtpq0ESdiQbo2qclpDjp6+yBiQbooqclpDso2ge0xbH8TtE0gFmQD+cePGy8XAvktrhP9QV5IFzA1Oc1BR28fRCxIFyU1Oc1BR28IfvvtWNt/6vag+9J333mv1D5N4zQHS40m1IBYkK59anKag47ePohYkC5KanKag0x/5ZVXSjXdYostXKRWIGJBOmpqcpqDjt4mHEv7wPPOOz+9kwexIF2U1OQ0Bx29fRCxIF0UmMbTSzuf/fe/4l09cDhuuyFiQbpAqclpDjp6+yBiQbooqclpDjp6+yBiQbooqclpDjJ96623Ls3/l156yUVqBSIWpKOmJqc56Ojtg4gF6aKkJqc56OiV8KOPPsr5Z8l8jlo8/ziWLqzaeUdFzNTkNAcrk06IEbEgXdvU5DQHHb19ELEgXZTU5DQHHb19ELEgXZTU5DQHHb19ELEgXZTU5DQHHb19ELEgXZTU5DQHHb19ELEgXZTU5DQHHV2ODz3x6Dna3vZwL4n3POBV5Lms4bsk/6G54vukfbeED5LPeR3+1a9+hbBtyu2203d18P5gzjnmlO+/th9wrdNhOs1BR28fRCxIFyU1Oc1BRy/BbmyhAhY+bKKh+0+FSdxid06DCl599dXs1ttuy7768sts6WWWyTbacMNsxhlnlDVayOCyWRCzrbryKtlDI0aQzuuUl1n2/PPPZ8ssvUy4XhKiWVMDlitatP2E5Lcg1qMAJKiLbNCANY2WZn5fi2JJK6tT10DszmnQQLP+VGBsM5jzsTrl6k8u9aeXVWX0gi7ZX2y7zbbZfPPPV+6sDMSNxqCB5vrvgPV/yUUXZ3vuvTdFivvfTTbZJLvl5lua+1+5fj/5Hn8++eSTjO56Trcd6u7Yb8dm9LOh1C5a3HbMWWGKVOc0aKDLbn8XX3xxttdee8s5Jo+WP5tsTNvErbRN2KgjihWJNmlUWnhmltEX1Gz4XcOzO+68Mxs+/K7sk48/zh57/LFswICBIZDjGzRgPYmWCcsv3fONfX/F7pwGDUw2+T/59NNs7h49tPc4IJI2dmxxO4h9t6FWmMQnduc0aGCyGX/sUcet/2/HjM1mmWXGrIWDh88K/fplTz35BGm6T0ReSKZ5HJo5UeEtmPhry1NPPZXlLZSlWwvFC7n46wy9kWwasrSQja30XofsvHPPpW1neEYXgjN6gVlD+e+9917JQS+/zF547vnsq2++yRZddJHsB337ZrvtvlvWr1//Ttn+PvroQ+rr3dkdd9whff6YtvfHH3s8GzBwgKtRgFIXVxyDBmys0TLx9beOSFAX2aCBic7P63oQ7es+oP0g93wm+v744siR2oVJkF8SxeHY0BkMHDAoe/LJx2WMcIwePSabaaYZSO28+Y9cWlzXOYMGJrr+kiuGs9TR7pwGDWTvvPNO9t///jebfoYZsp+us042bty47MKL/i/be8+90limxbatmRrNj2iQ3M5jy2GgwlthErrYndOgAcsVLc38vhZWdgMV3gpTs/5UAamLFoe/K2+22WZSlplnmjF78+13snnnmWeymX+v0LXAH/7gB7L9867xymFXZjvttJOt9QgqVnaFSfhu/FFnFBsAQaZeaVVYeGZwVZjEI3bnDJAurPIlWDoB0WOA607MhWaQ7AGGjOwi8gyPwcvprtnW8/MJ8XzzzZvR3RpolPVeeOHsrTfftH6YowR8TsV/+ctfsp///Gd00vR01rfvUm3mRwRITgEMWUprBs/wGIS2x49WkNwSGBLRytIzPAazmb+t+YeqQXLlgCFRzbL0DI/BbNa/Wf/W93+YNZA8c4AhMZvK0jM8BrOx+XfLLTdnm2+2ORqJpGfXZg88+GD4+pC4nOJzegxK2/m32HLL7H//e5/20/iqUhx/t+yoo47MNqQ/2pU/PqfHYMb8/AVu9yFDspfDlzY9JHajL+j8XZ15WTbtNNNk9EuMSV5/7ovvPTAkRlOWefbaa6/LxQRZUdyAPnPMMXtGb+0lFMfP9qp4sEF6nrexvfzxDI/BnHLz02M/ss03520CayfLeJt4kLaJ+PFj9hiM6vE/+uijGb3kM7vzzruyRx+nL+45nftw8/B5jGwDBwyoXF/gqPQ5PQarOj+8LNEKss7m20Rc1Sp6J+X8e/31V7PFFlvCJ5ft4NNPP5+sz39RQUgeADBkMqhE8QyPQZr49d9zwZ7Z+++PQsBsHvoyR7/ECLrP6THo7ct/O1103HijjUKQuP0hKku+rErRzbT6Gqtl//zH/aYrKOd/+6236PvBz+mPGXdJFInAfzyLoaQpvbAju+zyy7NF6LtI/Ycbcf/447FaMP8ff+zRbDht73dQziceeyyjl1yGVnpr0ONPPJb17z+gFKkqIiKr9AyPwSqPH72NjLiHgw+RIMEtS8/wGMy284945JFs5ZVXsvqvv/768kcm7ktVRERW6Rkeg9V2frSC5JbA880/f/bhBzzX2ZJl9MzA7IMPPhCsCzBZ8xiUictfFRGRVXqGx2BNuvzP/OvpbIXl+0livuFqscUWIzzp8k/t9W+O//ud/5Oi/gcddFB25plnyjZGLxfOTjr5RMLFvba4w2LSbX8777JT9pcr/yp5t956q+zaa68jPOnyT4r6W2Xpy2T4hHtcRfj7Xb2dqd6Hto1La03AsDQPmgjvaaGfBV+T/JSApkn+i1/8vPGkjvnP++/P6S+eea+evfLvxo1znvr8vnvFXrsADUEbGQHDPoEYvSdgMxloKF+RZK0JGG7mpwqEaojwlfF2LpT3SeEmaGGtCRiWCEET4T3ezkTvm6DUPouESSP5PN7j7c38U2v9H37oYTorkVszZV9Mf4jLl1xyyQmegDazCBj2M1OM3tOS/+bI3+Qbrr9BPuuss/GZkeWXo3LQTzrxpIb6YpEJGA75zznnHImPuHQ+oj95IcnHnKWW6pvvuusuDeWpI1nOivyhGySMFbGZDNSlKNlHPEIvUsNzJUO9llh8iSSL5ZTwPkfAZjJQytOIwVoTMCwNgybCe7ydid7XSMaUY60JGBZK0ER4j7czMfr4kUaYj5gzSy65VJqwoFlrAoaFEzQRLXlvejZ8cf5hHfJcfOKJxwuRG1MtJwHDFfljtMAysoFImQBkrQkYnkT55YWCYf7H9bVE6H3ojQjfM29nqveFphMgrDUBw9I+aCK8x9uZ6H0TkDhQrTUBw+ILmgjv8XYmep8GHTRwoNtv6jGi7uUZ1pqA4XbkX3PNNSwnbw9Yn9hGRNdrkrod0f7vOnruuuWsyX/F5VfQcUafj87b34I9F8ivGHZF/sVnn+effvJZfsEF5+d013POxz/OQReR8/vpO0Wjn7r8vXsv5MYQxsM5wn+6YzWksAiNpkx41rpm/FogY1HbgM1kIInbqGKtCRiWxkET4T0t+UEHH5R8/7vk4osbTVfiWWQChtvI792+1ejRo2Wd+flHdzGXcnqD5eyA/D5uo/j7yj+OHmGz5pprSr3WXXddKaP1RTofNBHe4+1M9L5GRx151pqAYXEHTYT3eDsTvS/GbRRZawKGpXHQRHiPtzPR+xrNGnnWmoBhcQdNhPd4OxO9L8ZtFFlrAoalcdBEeI+3M9H7Gs0aedaagGFxB02E93g7E70vxm0UWWsChqVx0ER4j7cz0fvKWflxR/3795PtbLrpp4vPjw9Ua03AsPiCJsJ7vJ2J3heCNiBuvvkWO7716tkz/+jDjwqRfB6f4//Zuw54L4rjfw8bWLF3BUusiL1GNLH3xBg71mhib9HEEjWWmNhRkyh2MRE1xoYtMaLmHxtq7DWCvWHDCoLcf8p+Z2f37vfgPUBB7z5w02d253bvd7dvb9fzOx8fRTTPhBguQh/HSzx//OPTTIj6w7sWDWJ4nl9XVvlOClRgWDA4CQOFhJkQXmP3PfbQH1aeNhQeaP72t7+bvuo6C6ACY3z6FEg3lSEfssaLeagicGESYnje11l/KUMTv8m/NUZqi64xKlphhAYb2380d7qRmWAVDWJ4XhM/pkvz4rIDVOC3I/8vPv8C3Xvj/ZdfYHmHbT6+rvrTp5jlRhtvFH6g9QUeL9T77bdPfkE61P5p2Qn5beCXJJrpZA8B7L+N6n3t1ddMse3/elpnHHkSSL9/a9LaZ+0daMKmQwzPa/p/Wb7wwouWVwy0SJ9AogR2rv+/8cabJS11VA4aNKica665Ks8/Dz44xF8awhHUoRMQ33nTOMTwvCnx+t+AfkDtH4Mha6yxpuXRI76uwv8W1D/Wr1K7KApYRaOd+u+w40420Ij7zLPPPdeh+29egPbiP/TQQ9Tv8nu0H1zlAclUzn+ooE+QW9VO+Pfeey+tdz613f/nnnvucujQoWrj6v/YY4/Rb4X+kY/rOxP9Dj7//LOxCii8wPHr/2++qf39llsGlXPPNbfdV5DPITSwCrccaErsf9UERU6Ooa40c1f+yCT9la4pDxbQ0giTRf2f52ciuv78H/d/WWPbCs+1Gr/r36r+xiefcCteHaFohREMvvn4X9E13HfffSVPs9EfJd5483WrVivE1UZViOF535X2b/lp6t9cf2sM1BdcZ1A0Ml7630vlbLThMd+Xll12mfL9Dz5wloxG3UxgZEWDGJ7XXnxTFIOx5dBhw0qayS/l4T9EPvX0kxanFeJjiQ4xPK8j8b2dxqty8nJUNIjheeOKbwOrlduvt8yjEl3RT3RQBMAgBAnoilrxF+J/OXq0/FUYP2CA7w5/N4mYEgig8O2336Zdt3cpu/DDGD1U8+7br776KplAr6Y+k0n903pFqpKvKHL1ivUTMUjApv6WtUo+m+tvualDKvlKlNDAAIMQJGDT/ixrlXxOZu3vww8/lB9G3H8Z8svESJq1UT1wgQEn3vU/4YTfWjnwMsNl2XLLLV0xEBew/fi8Qciaa61pfvHHO32ZK2iW6i7Ot6KV65VoIC5g+/FZWvE3Ea//BRdcIANJqE/MVyzfpIxvqUE4wCm8/3/0UbVPcG6/sI2lrKKaApCA41n/o446KrZN8s8xaI1VS2sVQQDAoAEScDzjV/3XtNdECQEAJ4/4/c+/wP4wzzmM/aCmPhOx/1lqkA7Ab0n+zzjjjEr7pDWBqdpWUU0BSEAn78j9BxsG+fs/rmeE6cDqmVRGC1cT/+133i7no5k0Yk+/awwH3XyzXbocOZ9mrvr4Sy21lNsYCwEAgzVIQCtQ2v74Cw2O7+/XPJjsj0q+vND8WiCVggQ0vTS+KE8m7f/+B+5P2pbMdqQCTg71v/POfyZl42t22mmnSenShCtl6Z6C8h9KXgHjm/8RI0aUtFyOtOUZuk1f0nIXsR9aQmqu52TS/ioVt0tpF7FGBTJAM1LE2IZU23NT/5q8Rtb4tr9oQRjSDWiMb1/7u++++8tu3brK/Yk3kPvs00+/kfrzhtC05If0/+4zz1I+8ugjsRzf4vzT4u9J0xPCs/gvhjgiBk6EFVnGyEgxFF6NwLMuueQS94ChD0v8wPHPf/4zBifM23w19qvyRZpNct11fyv32muvchbafUwemMiO4WabbTbe8b/p+jfx45WNWHLp47X07Ew5I6NNjcCzmvzHbETMJ1rxiixjZGSTf8qA5KQmMZ41ObW/qaeZVu6f8sJH91F+sXzl5VfitdSmoGdfCdTVy8HL9FjFs/L6r7POOvp7EOLjvr78Ciuk3r2TzCcURYVOp556KvlMX8TFb3jBvjP81mQu4UZgRZYxMjLa1Ag8K69/EtQR3iY6V4UTTjgx+f3juu25555TXPur1HE8689qdbbCqxF41rjyT5t/WW7RL155lfqEdzKB8S/s3z8MCMbnn+pAi0tGTYWz4oiy8GoEnjWu+iOqt4nOIa2kI6pUDFPdiRnf/1EG940999gzFjJgvkgTM34eSOL4YFNofP4UnvOJ9s9/mOp/Qf+kujXV7NT9hzafKmmda4n3wx/+oHx52Mvlyy+/XA6j/wyFfkXhKwyJ99Zbb+fdUcrm8/+Ln//C+jHXZfXVV1edFu8/tOEZvTD2TGxOOcUtR5NVOCMr8X2yLuD+TmXwf+Dj/l7nA3YVWcbIyHbje91vuv0feuihyftff8pN3eHLHCsXNStyEgmvRuBZ7dX/4osvSq4/t//BgwdrUO8EsVRi5wmNb47q/E8m8XlQlWeX8wy6++77jy/yBOffO8uqm/6I1OUHvIphatre9W/ixwxU0pgxMlIMhVcj8Kwm/zEbEYt5B1aREYP/8DPDDLysTVu5xpprlu+++w7Uv5b8Dx36Ei2f9r3vZP+3Gaua8fzyeNrj4frUsHBbUhGd63Tcw0pypYPyqJGjSl6/jDYkKaeffnp7wNCHtzZ7gON1Unk0njaMKHsv17vs2aNn2X3W7uVUU02V/uDxC7K8JKstbTqRhjUqL6ynPT5p62/FSZLXxI95afIvGahpEuhwKqJznc44+l/Mszf2eJP/72L+5513XhmAtBdoepGIa7+h1Wg7sXNNs0m+Y4FZbUK98diSdrenTzWnsfu/vHzyCyj9n3OOOYMni0w04d4FYrn2/zR9bj0drbmNl1j8xsB39+7dyzFf8SekNY5qWNBTEZ3rdFx8FElhruxpjwerGhYCqojO9G///fdLfv+4br8+8tdpaKFyh572eMfiVwJ9zfWflPG5T6CtYHA+DoJQzmrS1tH2P+DKAUkM7n8P8YzVOt+BqaKJE1/zVxOshoVCTY7x99tv/3jvCH80OfLXvh/kFfK0x5v2LxkIKfn444/lKzC0f+4PRx19NKmQQk3aOtr+ffvbd5997Rrec3fd2qYa0M7jEf+dd98tu03fLeljF154oZZfg2e4Mo879jiz4TrPPtvsJc9i56Mj8dVbtKLdkhO//Nsk/T0qKlZXtxiZdEihTmcKuv8uvPDC9tvM73W8Np8ddXX7Guv/m2N+k1wn/hJyxIiPpHhatCk//5bruoY0HvkfcMWA8oAD9qdBHfeF6RTU/ia0/nVpm5D7XywPYeOR/1qdJv9JGiORJ9TTHg8WNSxcFBXRuU7na8z/A/c/UC6wwPxyD+1B42P8vvN1tL//3Hcfff4/h9wfV111lfKVV3QCjmTua6z/N5V/GVj1fxXQluBag6BK89lJAl7lxIbqGmDLZPJ1Tn3ccuug9EUwDIriBcZegonvX/INDw/NSqczkRagReK/srWWtHx5/KSWUjQtH5/TkrJ9laNe3VkMvZ6TsYes/olPMVNbceNMIxdM5YAyKIYtZKTUxPe5kWRZ6vTyqjyTTLL231x/dz0EbfLPDfKbbn+9lltOXyTC/ZXvw4Nuvin2leRemLGTe5yTcb0SWVZLd/2vGjiwEt/u+fRiO9I+wU79a+K0DXkJzzpacaUVxWfyW8H1kzq2ldts/RMuoZhlJXNceK3GiIYtZOx9POvf2fjb/GQbzRvliOvFdT39dPo0NhyTOn6r/H8b4vderpflFm3x5kHZJ8Ry4Tp//QdceQXFcM8xdA2TwVskMrRII4FMYPwpvf2j/ckn5KH9I5+nn37aJO9/iI/LkcNvQ//jT+HR/vkes/POO8dqTqT2xwOgXbvRACj55y8XtEf5fuXxGH5c+T/uuONC2bWPdZmqrbSlxsRljOQj/Pfxx2Kd6Z7K9e939tkucEDZKLnHpyr59Zf+TnXkNio5JZz/gClunGksFZi+dOAR7GB89HfxIC5jJB8hchHLS8HrfPwHqc6oP+fih+utF665+p7U8SWKBImRfA132W3X5Pov8b0Wm3myUQeu/+SS/3HVP2ZFr0dSbrAYNvVvrn/T/n2PSPD8/p/0I+lksacppuaRC3deCl5ZvvP2O+UWm28uz6l91ukTBQGbFPF5Y2Ner/w3vzm2/JI21Pqu3f90xqpcD3eZGFWychFaMRKThKhaVMQSS04atqJQ9ZFzEpOEyDW1ahotyIRQjqGJQtVHzmF1M0mIXLOJX0mPJE6zZ6iS1eS14LC6mSRE1aAiFkO1NlTJqnELDqubSUJUDSpiMVRrQ5WsGrfgsLqZJETVoCIWQ7U2VMmqcQsOq5tJQlQNKmIxVGtDlawat+CwupkkRNWgIhZDtTZUyapxCw6rm0lCVA0qYjFUa0OVrBq34LC6mSRE1aAiFkO1NlTJxHjTTTaRH2d9gaaXUHrhu+gi3aGX1c0kIRIXQlTEYqjWhiqZGO+2664Wv3v3WW3wEzOlXqTPROsDJG6knOz+eHqhxgDLKquuXHaRT0zdABa9KLf69DD1qHW3IjNiRK6Z6bJYdNXA0Hbsqx4zn2zr7Nfus7bkzf4wSfW6auBV0Y0FdUVx9lGxNZaETIiqTUUsseQUU6Fk1bgFJ/GZEFWDilhiyanD8TfZZFN6uU7bzEUXUp9Qd9XgxOlo/CsGDEhicP97yG1exUESnwlRLUJFzIxQYEMFqdq24iQ+E6JqURFLLDlpKSoKVR85JzFJiKi59tppP+A8Dhx4daj6pI+PklSKJ6Gn7Pg79+3r7jFtZZ+1+6C6FdjZ+vOGs3wP4+t23HHHl59+RuvGhSPxmRDQiDAXL7TgQuG3RAczl+u1HLpDNGqBzUazVH3/X2uttbLOWDXM48dGr6Y8y8/fq/l3dshDcbO6qscsZCVAalERM2My7P+//OUvNQ9Uf87xBeefn1bEUUmdEsIpBbQi7mT91/3BulQ+HvzW+/8OO+6oESoB0jJUxJ2M770mPhPCa7UoXhOfEiNJiF1RyWryWnCSlCdE1aAillhyauJzuioJquYw5yQmCZFr1riX1MvpW53/66+/vuSNFyvpmQT15zXWhzxS/5v1dcTXC1m99sz5OuIXktMkvue4IgS2l6KQuCm1rAwZpYsNw0vK1WJABu+BToGVWNkthNAicRop6GfcJj5y7hKHi9oixcpuIXRumvyjzfkcp1nRdOV6aW69NHpKdZB2gyROI8FLym3ix4zGXKS5ReaQW6VTHcgMkjjNNLyk3BgTlqyX+oal18h1IDNIRmkkeEm5qg8ZU4wHmsCBBx5IL6BxKRZ++TvppJMTHbaqHGSbRgo+M67aQcYU40qP/WpsOc8880j8pZZcstx0003Tl08qy+C7BrNR9SAXefyHH3mY/qKqS8bwTu5nnnWWvcT5l9qXXx6m/kKxArAYoXSJjgmB1MSHQe4P9YXc6KCY6yvdQhjiL7E4rXMkL6c8cED/Cef651mJMYOhy3+4DABQCHT78Vkpzz9iBUvzZ/UVDktT37m+0qmOc6YoiSdV/AO4T3BO3f+TT+Y+4Y4JjD+ABlbNf+h/WGP1m67/lBR/CVnvS9s/+sOQIdwP/KE1Ug7jgU6BGSi7hRBaJJ5U7W9yid+vX7/YRqkvLLDAAqi9pHBC6//Zp5+Vs/NOx+73hz8NX3bZXrSPws/KG2l5ry8+r9tIUS9hq/j8xzi9J4Y/jtC9MW5WyNlNr22grG7rrvuDpN5tVD7esCM5yKhV/Nwfayb9PdxXsOROrq904OZCFIL4HYkPM6176jsPoXSqE+0DRuLOxO/Rg5YBCPWfqstU5TvvvEN+0mNSxh9X/RdaiAbk3X3/rDPPSgsHqpP1H1d8dv9N1r+J3+S/aX+xF1RuTizio+n/lAJtKZaQkBjPTWVMsTRopEBVTdpCCC0Sf93x2zgk/dVN3gzk0YL+HJwf/OtRw87VWtKJPRN8mEOVyjlRVDU+t2BHhXFgiT0TfDTxNQ8hu5KjJFFBTKAFOyqMA0vsmeCjyb/mocm/NAZpI0lDCekh0IIdFcaBJfZM8NG0P81DB9rfeeedWxxwwIHBTsGBBx1Y9Du7X8LLiYmR/8f++2ix0kor0RcWRUEDvMXIkSMLmk2q15F4fDmvuGJAsXPfnfPwafsh3ZEjRxUrrbxi8cwzz4juRRddVDz40EMFbRIkfri87HHJJZconn322dReZB07sb+kubF5wpi0v7+zdO9efDxihBSaw/LIKq0FV9CAslBcGCljUlBRl1MLdlQYB5bYM8HH11j/SRn/XOoTB1Kf0Lxq1bh90kCTEnSe0PgDrryy2LVvX8kZt38+aGC1WGWVVZTgMwk++OBDzasLyOUaS/+Rbn7Gm3mW7sVUU3dhKzpUmc+jvhhZXH/D9cWrr75a/OpXvxIpnz7+5NPijttvLYYNG1YMH/5eQQNcxYorrlhsuMEG5BieTb2CuOJIuFGjviyefuap4rHHHyteeP75Yo455iyWWnrpYtmllykWXnihis/EvuJ93AzY03rJ0g+4/Wu9i9APZmnaP2VkQp7/n3n66WKZZZdNLgYNhBVzzTXXBLd/vn5/Ou+84oADD5D7fxIkXEoGM8wwY/GjH/+oOOqoowpamsDUcP2FwQQfodledNGFxV577a28wD79jDMK2jTJeIm9cRU55JBDirPPPtu1qKIYeNXAYrvttzPNxD6L7/sf8n8l9fe+fXchnyVN1aSCUt+mNVapv68afRLvww8/IForwme5NwhibJHONMssxdRTTaW2Lj69bBaD77qruPPOf1FuDyzmm2deuCs+/fSzYtCgmwsaeC4++eSTYqEFFihWW321pAzqMJ759/SBBx4oXnvttWL06NHye73G6qsXc887bygl6br4sUDV358hQ4YUq626qtX/hz9Yt/jXXYNjsBqMNjaT3+vnn3ueM1css8wyxXK9ehXzL7igxP/www8L2pm6aOtC9z5NWyhQNb53z0U29SB47733ijnnnFMFpMDyx594ouhF8fIjsWeCD3OoUjkniqrG5xbsqDAOLLFngo8mvuYhZFdylCQqiAm0YEeFcWCJPRN8NPnXPDT5l8YgbSRpKCE9BFqwo8I4sMSeCT6a9qd5mFTtD4O6GBg22iNYH0NGfr1g3HgYSybFdMy4YhkVKyJbn6GJ3+5lqibOxvsnSv6HDR1W3njTTSXPyDnttNPrwlV4o2gdw6eeeroceNVV5dG/OYY+vRtY0RFGc/3r88Lcpv9pbpr+/432/9tuvY1/lsN/eQ0st9t2u9btlpuuSSfs/s/3HMS++eabyxNPPMlo5beVv/vd7ywakLr49okh1WUTWt6Ajx4L98j8FeVBBx2kbqbg/vfFyJFUL71W9DAldaTBDq2XP8dEee4UX/9YrQlrf5IIchb9aWpuuw19IuSY2tS228c+EfU7H3/AFbzGKvqdwoeyT4PfpnW0TCdcZ6Oz6//gg7TxVTh4fa37aaMB3hWdN2pjm4V79BDpZ599Vh5MfWAG3kA0i89titfVpD9K0M9TrCX8AkbJ2PJt2pV2zz33LKemtbe8P3rGN/p7NLua+3dywD85i/4SjZYE9EeO/EJmavu4ST+AYp2niRCfS95eiHaFU0j8nj176nUM7W/QoEGuWp2v/5jRo0vzbW0l9je9ppFum6pLudtuu5U0IDjO+DvS59u+/bGva669Nm0F7eT/zDPODG03xj/yqCPNPl7z8a8/L/2BdoqyyQx1cgZ/SX+XnMT4uM/DB69VivY3hvaXuPfee8uDDz64xMZ7HAMzYr/44gtaZuG4sJu0LrsAPww3o7X6Pv00LsHAFb3llltKGvS1MifxaQbvmTKTc/zrzz4PP/xw8Yf6//GPf5TKo/6sg+OJJ54of/CDH9bHpzLzcg0rrrCC9P/nnnsOZimscwyNmut/2223x3gUY2F6fqg7otuO1T/xVRM/kbdDNPGRnCb/sS0gJw62J2zanyaKctRemlw2DY36TfuLubD0RKQ94RTY/mqWAgh1lcq0rm1rCdmzEP9j6hwWrAkEzMkC2sSnRLTMTjuSYMamLc2DgEBrFZZE6T13320PEvyws/Qyy5C8xRFMP/7o47Jr165kFz8f3oXW4jK/pBcjZL6a6x/zlKWGyZZ5gzBcgxrTaN3kv3Uem/YX20loRDQjRO4BeNnhF61111232sTQ9lo20iDoQPtb+/vfl9jTTDNN+Sm9MF9y6aV2P8KLH+8YLUc78f/973+XvDkJ23SfZZbytddfL59//gX1FQYEUL9bb72lWrfAaVk1lrcTX82DNYGWfiZS+3v11VeobvH+y/Vec801rBiTOr4Gys9fX/3zyFZxRiZC/l/Cp8SUV7TDddehPsFVbJ1cK0ZrleiAPw1Gm+QYjD/4UBwcZWc8YPLfR/9bXnP1NVYOvu6sP9NMM5cHHnBAedlll5X33HNP+dnnn5Y8uHoIDa4ssOCC0j6k7KH996SB1RdfeIEGTpc0X3l81JUhLxGSHCh6qNyYMV+VZ515ZjkL9TfE4c9ot99u+/LEk04qt9tuO+OznGNtsvHGNIDzSeLWEy3zxkpZfIEpSUYAAEAASURBVGa99uqrVhcM/Ky5xhrtXCI4Yevq0dH4qYdgTaCln4nU/9O4oCZN/P332z/mmK7h8ccej4AZ7Fj8hx9+uNL+fftrhfdaplc5bOjQLDaTMf6KK61EZQ6DkqH982+E/jE76LX2UF5FEwby+JttullsgzW2Pn5dhLqlAIY8xIOj8RjN/f2/1N+v8f1d70EzzThTecD+1N8vvZz6+93lZ599XtKM4nL77bcvZ50Va5PH+xXXnwdu/3Pff8pFFlkkyTXq5vs/b4TC5eYBVl42ATpVGPJK/k/9wx9i4V3+6+rPinwPgj9e+/ztt95y9pbB8rZbby15SQjWnW7a6WRA9t577i3/fe+/6Z5zdvhjUfz9e+Lxx8lPiEqgVfxxXf/fnvBbKx/H3nff8OzBpWSn+M905QhRCQSsojGu+C3t2BML8b/qOQgVtPQzBd5/rKqoe+vKqSrJW6vAiXlNkJZ2rAXTlkpBQKC1CktaStuRNPGb/Ls2QGj1CO2KQMsW1vR/SlvL7LQjUbMiMa7xk7ICBSZg5cqpAGJAU0sYjnAodFNWoMAEhLJBFUAMmIkD6aQOhW7KChSYgFA2qAKIATNxIJ3UodBNWYECExDKBlUAMWAmDqSTOhS6YB0rG73wS48+LO2///5J04G+QrW6gda98g9k/AB38cX5xh6IQJYOhb+UFSgwAaFsUAUQA2biQDqpQ6GbsgIFJiCUDaoAYsBMHEgndSh0U1agwASEskEVQAyYiQPppA6FbsoKFJiAUDaoAogBM3EgndSh0E1ZgQITEMoGVQAxYCYOpJM6FLopK1BgAkLZoAogBszEgXRSh0I3ZQUKTEAoG1QBxICZOJBO6lDoetbo0V/SuqTTJC8USy+9NFQdVCvYAppCwnCEQ6HLrA8+/JAGQ/XlCYNWd955Z1IOfrnZYostgpk6gjtA+ryxXHTRRcmO7mE0k4YHmvimc+6551Z8TTdd1/Lzzz/LbknBExwCorAGVQAxYCYOpJM6FLopK1BgAkLZoAr4/PCQIa5ueu/edZfdTDO56db4S1mBAhPQeVNUBRADmlrCcIRDoZuyAgUmIJQNqgBiwEwcSCd1KHRTVqDAJEifvFZmYC6zzFJi7tTgTiEEiRYRCT+qpjPY9BrS0hW1+nfddRcNNKgO94kdd9ihHP7ee+oMZ4qzBK1TzHIMMgrONP3ngQyegUVfIce2Q/2FZfj99/qMH0sbC8VDK4LqHEQDuKrfVvIfRs7/8wVRNVR6n332ibGkHG20s/xOWUqCRzgGdN4UVQHEDOnTYvKPvBCk+uxKm+ElSYSBOpFzygoUmIBOX1EVQAxoagnDEQ6FbsoKFJiAUDaoAogBM3EgndSh0E1ZgQITMCjffrvO4kO72YTWweYjU8sYTurQ4FJsuY/dcMMN5Z/+9MfyWNpleIvNt7DZ1Xk7ZBrxGV+UBgrfHT4c7hS6OPPNP2/W7oryxRdfNH2nSrxAgUlw8ODBFfulllpC7J2a+UsEOREMtL/TYKDrf9Lfa+Jzf9dNF7Wv7kD9/f33tb4+Pi0vIDM3dV1Qbf+SuxBjyy23LKeeSmeS84zy5ZdfgQZN+5brb7BBUj/0/7/TRiirr7a6yfiPJvz1B89IX3nlFY2P53+eDf851sBFwVrUfwgNpHNfRf379OkT8hcMA3jzzTdLnnWONnDdddcleqzGf1BZ0NZCbSsf4Nn6wV6VHeHQ4ChVBUV6/KyBuAxvpQHeeKgjuAM0ecJwhEOhm7ICBSYglA2qAGLATBxIJ3UodFNWoMAEhLJBFUAMmIkD6aQOhW7KChSYgFA2qAKIATNxIJ3UodBNWYECExDKBlUAMWAmDqSTOhS6KStQYAJC2aAKIAbMxIF0UodCN2UFCkxAKBtUAcSAmTiQTupQ6KasQIEJCGWDKoAYMBMH0kkdCt2UFSgwAaFsUAUQA2biQDqpQ6GbsgIFJiCUDaoAYsBMHEgndSh0U1agwASEskEVQAyYiQPppA6FbsoKFJiAUDaoAogBM3EgndSh0E1ZgQITEMoGaXlVkwEBNKUqoiqtFauSnBNpw4AAVsMaR1VaK1YlOSfShgEBtGhVRFVaK1YlOSfShgEBrIY1jqq0VqxKck6kDQMCaNEU4Ycb/yBx3XV/yzQiCRe0JlZiw/YvvfQSKULDYWABRncVTFVaK1YlOSfShgEBrESNDFVprViV5JxIGwYEMIarYKrSWrEqyTmRNgwIYCVqZKhKa8WqJOdE2jAggDFcBVOV1opVSc6JtGFAACtRI0NVWitWJTkn0oYBAYzhKpiqtFasSnJOpA0DAliJqozFF1889ml6KZtjtjkqmlUXOSfShgEBdF6vdbNyeIYbqzz//HMyKIQXPb63rECf+/FRdaEcP3izOc26ga69JLkX2fXXW1/kdSf1Vo0C3aok50TaMCCAcFYDVaW1opfw57j+vs34iSeeYF5NFwigaVQRVWmtWJXknEgbBgSwGtY4qtJasSrJOZE2DAigRasiqhIVkz5B+Z2NNtlJj6ir/EgbBgTQObjSfRqMa0lrLjoNRf955z9pdupMcr1nnGnGcuDVWHYndzq2fPLJJ8uHHx5SnnveH2P7cO2f4yxIGxD163dO+c7bb8sA8v/95z/yCTHKwIOyvv898eQTUhAfzc++m56WFOCBKN9DofvsM89WBnm70ODnu8OzQWGzhqWETE5VydiyVT8wXSCAiceUUJXWilVJzom0YUAA05AJpSqtFauSnBNpw4AAJhFTQlWqiiNHjSxnnHFGbU/UNuaca85gmOtG2jAggGnIhGKVr74aIxvw7bfvfvbZurVLarvyB4PQntdaa02Z0R2daJCvvvqKBiXdshRB/21q7+0daq3nR4Y8EvsPx6X/8843X2auupEZacOAEESf0UFJnW2JzerYh6qOLbm/zzzjzBKT845ltuCqLh7zfv7zvV2Z8ceGopyKNnPkWce0Fmk0JewcugckuQ315Bz3WKhHyYO7nEsctM9keehhh1b68xVXXB5UYgkNA0KQ1neWeKj/eeeeB9cCVXVs+YdT/2D3H74H44Ar0DfeeIOVn2ezIoMsN10ggDCugawyzzxz2/MH39d4CQUcVRc5J9KGAQGEsxqoKq0Vq5KcE2nDgADWxAVLVVorViU5J9KGAQFEsBqoKq0Vq5KcE2nDgADWxAVLVVorViU5J9KGAQFEsBqoKq0Vq5KcE2nDgADWxAVLVVorViU5J9KGAQFEsBqoKq0Vq5KcE2nDgADWxAVLVVorViU5J9KGAQFEsBqoKq0Vq5KcE2nDgADWxAVLVVorViU5J9KGAQFEsBqoKq0Vq5KcE2nDgADWxAVLVVorsoRmrOYHDBg63KGwAEtpUIDQSqFJBTHKKYHH0OEOhTJYSoMChFYKTSqIUU4JPIYOdyiUwVIaFCC0UmhSQYxySuAxdLhDoQyW0qAAoZVCkwpilFMCj6Hin3/xWTntNNPaw0lbl7byfZoFA001BgVYyhps/oGM/1puUkGMaje+lAOqgFY6mEIACH4KTSqIUl/Q+mu8Vh5/zrNIT31Q1LpDm6BD4REspUEBQiuFJhXEKKcEHkOHOxTKYCkNChBaKTSpIEY5JfAYOtyhUAZLaVCA0EqhSQUxyimBx9DhDoUyWEqDAoRWCk0qiFFOCTyGDncolMFSGhQgtFJoUkGMckrgMXS4Q6EMltKgAKGVQpMKYpRTAo+hwwO6ycabhhcKfYlsa+tSjh4zOtV13nIUHtW1UU4NPIaK7777bnbvwVpwn9P6j3pv4dk3WpY55uBBXtg7l4Tecccd5mO22WYt33zjTdH9ktaA5kEo3Kcww+a00051vsgn3AI6KaGOcgoqSM4mFcQopwMeQ4c7FMpgKQ0KULn8hQDqBng1r3Mtaqlu1Q/kBB3akfjQBYSbb1P8TTbdJMkx7ww+ZvQYVDmBnan/gAHZGqvU3vnTYPNFEa68coDMBuVrvNhii5VP07rmdYfZCKLU8issb+VH++/TZ20aYPkguCA9GBLsd04/9yVK7H+777EH6UOxLB95+JGyW7du5vuII46IUlGLuhyIy434aKvcb8UnVAGTSGwNASDz4uH7AWbCDRx4VVQwDPYMHe5QqIKlNChAaKXQpIIY5ZTAY+hwh0IZLKVBAUIrhSYVxCinBB5DhzsUymAprdRPfrK1XW++hrT5H9QFmo0gRjkd8Bg63KFQBuvDjz6kNf9PLeejAU20mxxeeOGFlfhvv/2W6offD7bh9qcDi+MX/8knn7LfH8ScYYYZUMQKRJm1akY5vbE2sAp/DPG7h5T8hWagTk2zv3lm52KLL0b7GDwZfNT5jO5ZeicNyHrf/PvJMz8ffeRRksKeoeJjy6/ouXiRaEP6nKeFFl6YPtHHILS3K8tPPv6k5AFHH+cnP/mJeVcENrF8HJOXI4Ad30vfeON1FCVCMtnmpz8lPb3/LLDA/MFJnc+Slr9ZU3ze8Y9/qJ6o1emCx9DhDn3hxRfcfaqt/PHWP051Q0nqANy0V3+1ax0ffs2XMEABQiuFJhXEKKcEHkOHOxTKYCkNChBaKTSpIEY5JfAYOtyhUAZLaVCA0EqhSQUxyimBx9DhDoUyWEqDAoRWCk0qiFFOCTyGDncolMFSGhQgtFJoUkGMckrgMXS4Q6EMltKgAKGVQpMKYpRTAo+hwx0KZbCUBgUIrRSaVBCjnBJ4DB3uUCiDpTQoQGil0KSCGOWUwGPocIdCGSylQQFCK4UmFcQopwQeQ4c7FMpgKQ0KEFopNKkgRjkl8Bg63KFQBktpUIDQSqFJBTHKKYHH0OEOhTJYSoNSWKgtmDCpwnoNcAFTu7ipQbZwL6mbhSBGpQ4cVa8BLqAzILSJj7xMWP7zz26XW265kOjoP818Wb5OD0P2cEQPYfzwxusxyUFmsPym2t8LL/6vPPl3J5c8M2366XUdWCkvlfP22/llLj2svAkbXMBE2LQ/WaeFczJh7U89pLlVCnkHTHWa/o+8TLz883qK2q/jTBd58UlTL9TEyj822ZhtttmSmTE8QIp7jPbdtpI3qcGB+B/RANH8Cy5g5b7iigF2/7nn7nvCJ4ehPtT/+WWNN8TwBzLpefEu1kI6GbR/3tBLBqukXlq3h2nAy0osiFFp9RxVrwEuoDMgFPn/tvf/A/FlBg0CcK75/xtvvjHR6o8ZbL6t6+ZVmvc//OH31IZ5gKGt5LWIP/xAB0THN/+bbLKRtHntQzRzjT4Jfp3WHvZHfoUPP/yItO9Rnaej9dTffecdM1tttdVEh/MxA/3xYjg+ySZn5k8QpS655JIwSKV9kXZ5p8+a3xd/pm/eGQEXMBEm+T/5lJNDeXHfaisfefSR4KLe3nur1wAX0FuQ68mg/2uJJt79P6thIGP9b7vt1uR+c/rpp5PO1xP/3XeHl33WXjuJz22a29+8888XfzuouFziocOGafsM93y0f/tk3VWW9avH2PJpWrvU+mXo/zPR7FE+Onv9rxhwZdZWeU1lWvojHH+g9Ur5D5oc9/vU3z/4QPsI5ICt4j9KazHrgKT2Bf5Dw9ln94NZLYzLeegfMdn+jjtuD7r12Vl//fWljJx/fv5fffXVVZ/UzUIQo6RPStnYhmJw/fiIGuqCz8suu4z4R/7vv/+BKCTM1/+sfmeL7s03DxJn5i+LnzhwhOkT70xaLzqWsaDN9m5ymhH18b09V8ZoQYyKxhlWrwEuYGrUxEdevp77T5r9tP2hJKJDhNGCGJW7MLpeA1xAU9cw38HfH5+Bpv2jXTTtH5nQjjHp+5/MWM2DauNMuL69VnBooh8DmiIUjJEiidgIQ1LlGgqaiAtoqlAwRookYiMMSZVrKGgiLqCpQsEYKZKIjTAkVa6hoIm4gKYKBWOkSCI2wpDymKOP1geY8HJuu2UHN9BEXIaXX365PfTgc8HLaMOZugP2IjPCkDqThAdNH79WwTHP//OfSx4gnnlm/ZQKD2cM76C1wlzXc1b1aGfie0+wF54RhnjVWhyaHam/dwT7Jj5lwJJhiE9VLQ7N70L++/fv7/q1vvw8OERf+iZF/R977DF9UaZ++dNtf5rkvzf1X3nBCfclxnl9PJQDyrv23VXKzC94P/rRj8AWeNRRR1l9cA+YXz7lxFVN1GsJaCIu4BdfjNSBISjUWrsmx3LTNaSFVWRDE3EBWYPXwsb9l+vPG33wbu/+gL3wjDDEq9bi0ERcQFOGgjFSJBEbYUiqXENBE3EBTRUKxkiRRGyEIalyDXXBhegTGLSjGWZuICRe0xpjYiWRjDCktKUArJ3TQMuDNGOVPr898MCDwmBkUW699TbySWpH678Fra+Its+wZ48eeakqBX/99TdovWX+jJrqbOVqox3Vr5H+9xZtNiODveSP298eMpu14kYYqCl/TnzUkUfJEgS8wdrf/va3eoOMC3vUG9DUSEH7AQaFClpPMvYD2CeFSa+KuapDYI+4gKYLBWOkSCI2wpBUuYaCJuICmioUjJEiidgIQ1LlGgqaHJev4UILLWztSTY3hEKNLbMSsRGGtLCKbGhy/FGjRpW7776Hxef2jPvfg9nAG3/y79s98JHyWTe8xjh1WDpjVfv/1LQOOfdNO8bhKhETYf2dyq7l1/vJV1TB+IfNotyGZoDybwzscd0BW8V/6qmn7DcVdb7ggrDuMZyZV/Vy2mmnuX6u5eL1u/mACeIC7rjjjqH8mpeetG5z3QF7lv36V79Oynb22WfXmQhPN7SM959ZZ52d1lB9oPL7zwV87bXXymnoD0Z1S5j5+FaZiFTir7feenZdFlxwoXI0LUvBB+oNaIZJAOMakoiNMMT0WiHQRFxA04eCMVIkERthSKpcQ0ETcQFNFQrGSJFEbIQhqXINBU3EBTRVKBgjRRKxEYakyjUUNBEX0FShYIwUScRGGJIq11DQRFxAU4WCMVIkERthSKpcQ0ETcQFNFQrGSJFEbIQhqXINBU3EBTRVKBgjRRKxEYakyjUUNBEX0FShYIwUScRGGJIq11DQRFxAU4WCMVIkERthSKpcQ0ETcQFNFQrGSJFEbIQhqXINBU3EBTRVKBgjRRKxEYakyjUUNBGXYWUpAFWCqnpJeLCuCVDPir4Eo1PkVC1UlmokvCZ+NWntcmIuBaNT5FQNVZZqrLHmWvYgwQ9i19PC9eM6+vbtW3kQGzpsmARPvaee6uInvIl8/T///PNyww03lPrxjB+u3+2335YUalLGTwIRkcQKwoQ3kevfxE8zkOS6yb9kwOfkMdqJ2AZTwoAKb4zR+lBrlgtGp8ipWqksapzy+1M0HvXLi/hzTtf+N998M+23/AJKZeGBw8GyhmP0e/31fzcdXvuSP12M3kvaaGNlk6P/77bbrtEBYUmZXPxEiYiXhw0reTbR99daizYKmc3uf7yxx6qrrlr2pRn7Vw+8uhzjX7ozJ0msIEt47cTPXAm5wQY6awgv0L2X653UP7dJYk2E+MgeuxLfdNIYeWSlp8T4PPiP9sd55nYY+0SsrWB0ipxqDlSWamDzKvar17GtvOfee+lT2G2s7e6z7z7pYI65jr4Eo1PkqBJvXCN+w+9fjx4LmzUjqh+sXPv7yTY/sfio/6mn8hIaZcmfXscB16JkvnigU/AkevlJZalGwnPxc9t6Wq03yDbh6d27d616EitoJLxOxmdX4odO6q82fJClGkoF3hQQ/8QTTwztiQawad3Ojz76SCorNaBTqEltAlSWaiS88ag/D2ry9fXtj9v3yTR7n4PD+2haBkb7U+hXof2PGKHlRQHbi8+DlNp3tN8zPj0tfxEPRAtxXfyoEzHW1qU/+FkUg4bc3+8pf7oN+ntbKf19rBu8jS4yrBr/yVDmeD8pSgysqna0YWdMXXrpJW7AU8s1hNZobu/Yb//9kvx25byQs9R76mFRWg5ErwnH6FK+9vprQT9Yueu/zz6/iP7D7z8vPXLCCSe4NU9jNMHoFDlpbKZUlmp43ghqy9Pwsmj87EP/jz/++KqThBN9CUanyEkUhVBZqpHwXP2r1nWc6EswOkVOVV9lqUbCa+JXk9YuJ+ZSMDpFTtVQZalGwmvyX01au5yYS8HoFDlVQ5WlGgmvyX81ae1yYi4Fo1PkVA1VlmokvCkk/9nAqquQoYZIFjyFOgrPCyr5alfotJ2eoYY08SkDPhtfR/4//eRjW7uNH3jaaMfgD+xTQ710UiZfMGLH9a74AZEWue9R/9dq9YCzc2KoIaLkqYlV/1NO4cGb+GDMu9vGRPuIjk2lmVjxUfvEu4U1ZJLVv4mPDLhcG2pIk3/KAM/O4LXTsE4h95ujj/lN0nSRzQjTHEZ+jjm9gK5Daz1yDP7/yiuvxG5Jpnvv/fMg03sMv+hcfsUV5vTdd96lteNok4lgf1W2puJ777+X7KiMF82rrqK1F60ohohfT6H/j6HdOk479bSyazdeUgSDX4ChbMyn8nGMpZdapuSyfFV5MXbeDTWkZXzRSNUsBzyjxspE8ffeay+TVRHnxFBDOhVfY6Q+qnHBcXqGGjLZxh895isaTKH1BCm/yPUxxxyDShFM6+AEGer0DK1fc7Fb0tbayg/ex3qomUshzVmdsMTAKtq//FabiSEVTwPpjwRa39j/eIM4PmxDOB4cojb/97//Xfjtn1wsQw0RU0+h/wnPCypBxpYLLrig9T8esNpr77p+4JwYasgExa8UqZbhYhlqyBQT/4033qABVZ7NzP2hrbzaNlGrrbRjuroaakiH6h+Xr4r33/0P2N/FUhSbvXFZ0f7f4eUsLKwhtfEfeYQ3r4rtn/0suuiiWZzURyZ0pOr5pT9Qpq7Tpb8tvNxHR9q/C0LrsdLyBXyvcvcrHVh15TRUkSsuvyJcT73H8e+/LkcSUmX6MdLBBx8cc8NtgWySmbxRVbD/0tIc2mY0xhprrEH81LGnnnjiyTArPs0/++B1Wm+6CZ/oe6ssaEI6PUMNEc1raRa9tBWqS5cuU8lMWNFI1RKveR0yoSOdE0MNET1Pdfb6u4AZ6rwbakgTnzLgs9HkX5uP5MQnJmtVadYqQsdwTgw1RPQ81eRfUyc58YlxGXUaFW6V4ZwYaoioe6rJv8uuTwyxs4HVtAtkutl1UGn7OtEk1xa6xtizPB49AVNp+zrQRb2itmCRNEXP8rgpGKLS9nVMOdyQo7ZgkTRFz/K4KRii0vZ1TLnT8XlTJ//guPzyywenreMn606FB9Zdd9uN7GJpBYukFdSzPG4Khqi0fR1Tbrf+55yb7np6e1g7qn3fEy9+LKXPUIp7HcWb+JyH9q9RzFqeLaFrjD3L49ETMJW2rwNdlDNqCxZJU/Qsj5uCISptX8eU223/UQvlVE4r37yOnX8B2oZm0ozryEsrdE0Az/qQZg7pC3pb+b3vLZGFGFuedNJJsRzhJfF3J9OspHDwZhnyEkT3oK0J97XjOFdfNVDtg63o0h+Ohr83XDz4sgSXDqj0+RdeKNeiGap4SZ1u2unKH/7wh+Xvf/972RCEfe7Sd5fywIMOKpdeeil7eWf+xhtuVH7yySfOpy9hiidKQmj89sr46aefyosnXs45psz6JXuxqzH2LI93Jr63UV/Ro2CRNFXP8rgpGKLS9nVMeaK2f/Waxl/b/QGA85z3iVS7Y/kfgDUXQzv115Nj8f9NN9s0riEZq21Ye/G33CpdCqBHT/0jaPu5HVs+8MADlf63w/Y7SEzewAdl4/Le++9/Ez96FCySWTmVrBGbHny1r6Pqn31KG92F2YjIXX+Z/e7cBdT783grzfZ1opXqRW3BImmKnuVxUzBEpe3rmPIkb/8xkmI/lY2FtG1ut+22X3t8LsU666wjbRDXfIcdtrdiSt7oxH9EwL0b7XXosKGi135uVXo3rdEtdu43pE+fPhYHiGpHj4JFEmqSpwG0ER3KojAdOOT6bEob5vGyCzUuzJdHVE/PmGWLvHD90xmraul9X0F/sESeYDeElgLwOj4e4zqwGgesuS4YWBW7zPjIXx+Z5PIMWsu09aHGvzn22MQmzVtRbrLJJuWLL9DyQOIoBhQskhbGszwOhe23395+w7feeut26w8bhuorehQskqbqWR43BUNU2r6OKTfxJRUxW4JF0hLlWR43BUNU2r6OKTf5l1TEbAkWSUuUZ3ncFAxRafs6ptzkX1IRsyVYJC1RnuVxUzBEpe3rmPJ3Lv82sNo6QVj41mkYakjMoGCt+CyEDFBNU0p5kKjMaRhqiDcgvBWf1SADVNOUUh4kKnMahhriDQhvxWc1yADVNKWUB4nKnIahhngDwlvxWQ0yQDVNKeXx+YgjDqcHl/BgRw9Ghxx6SHRhvqI+Y+fQrsH6EBYfCC+77PKghEiAyk6poCpg0re/c845NzzIanl1jVWUYdLH50jfZP2b+E3+O9L+Djv0MHq50L7CM1d69VoOnSXA1t5iplOdlFI3vMYiXiz3p88K7QjKl112aZg5G+9P++yzL6mNLf/y17/YfWvOueYseWMTPRBpLK37uKf5R5xVVlnFwkBfLWBH3IDedde/yhlm4J2PNT4vf/LRRyNM4fvf1wHoC/qH9etI8uBDD5ZLLrmExV1ppZWkbM67hrVz5+8/ukkJDW7IS7+W8YknHg+e04gpZcEJ6Xx87yXiiASokpSK2lNKfO4TaEMMey3Xy1fC4agp4LjrHzezidfS9z+0v2NpkGFc3qzxohGTwZZbbpWUvWcPHViFLy2pK29AedM67v+Iz/Xeaqsf0We4nydtjtsfz26FvxTWUUFVwIS3v0cffTQpI5c59oNJH9/Xpi7/LHfZTdWn0P731NNPyYw+bhNTTzM17ez+ZqgXagqo7JTyKej89T8UfTK0Uf1jByIp3HjjjV3b0Hvk/ffd5wrQfvxrruFZ2/H3h3E/gOscBTSNDzm4TOdrrCb+Q124/x97LH0pUnt4b7kCb7gVli+wcreV52ON1Vw9tL8rrric6pnef4aEtdUrJqE1H3zwIYkN238V1iPNWzyXePHFvyf6GLjlL1RYT2vj6mSoInaduXyoU8gTx5x2umnpD51/CH94gjGglj6lfI1i/DepDU8z7TQSowstU5DfQ6JVa2+x3qlOSkVP41N/r614a29NfOQGcFwZi9ff8mymhphoXN6a/CNngOPKWJN/zZTLl6GGNO0vyUCrvLASZIBqmFLeWefaHw2sZi6NNMRHSfBUAwUIKomQiEBj+nB0lCiankOiaoallk38JB85EeiO5p8HGuSBSh5aCvd5TX6FYv7xaSHs+EHp5WEvy9XraPzskidkUkVqYAmdE+3U/5xzshmr47l5VRJiAuLXVyr1nugEItXofP0T3+bUkETsiVSjiZ/kIycCPTm2f39NYydKKpCoXH01PgHmF5mi7Eq7gfMLU2KRE52o/557YuCTdt61z/piUe7817+SexOXZYsttqSX+DfKWbvParK/0YY6KJzP/wILLmA6uFcdczQ+4U4qEIMGbMSIEeWCC+ln9rPOOqt87ppYECEzWalM/S84P4n/2Wefl/vuu6/NAOI1nq33mBNDKrHBSDXMg4pJ+Ne//lXqhxfVGWi36tGj83X5Ui/IkxUYwWpgalmNH01IMyj7/FtBo6LpOcRLE3xyis+fO2sb0kEW/nSXZ5TpMWH1958Go52eccYZZRfagAm0QJqVKbtec9AkOe3Hz3+veRZf5kCrkZ15reAkPrX1XXbZtRw+fHjC5/Z34gknivU3cf2vkj+y8KAQX5s2+mPIjOWYMbrhTKWeljdDslpHMtX4brd/zmOSDyJ22mknaQd8/XFf/Tqv//nnn2/xuZ3++sgj7fN5XEUenMzbsC5bkdQG6glkDd5cKbVvky8pKskI7san/tLfZWBQf1/ZP/d33ngwiSX9/eZQpmr+Y2EpuIsvSwGQT/2Dm8awP/4FPTMITmTGKtu4/w+FzatUpRq/MmOVyjtmjAWwcjPy2OO0TrXzvdrqqwZ5a+A9XUu/8TPTWuY2sOp84fevD81g/uijjzOH3guJjDTE9PkPVyjjDjvsEFVFo1p/M2TN4G58rr/aVeNHf3UaTfwkYznR5F8aTdP+2u9F6KfWYXN1RydNjAwTOiea9vedan80sIojaQmumWQNBuoMUxOT5GzQCv3ZTCrOYtSIeW3B4TgT5GzQPjJ40TTlxKgRi7oBS01MnLNBK/RnMyEEWsqLUSPmtQVPTUycs0Er9GczIQRayuOoPPtqqqm62OyTLvSZ7Ed+Yf/URAxHjx5dzjTzzPYAwg86PXr2FJmPXDWNHH7we+VV/ms1H2PLt2nNq3/9667yPppJkGQjmqgqnUeOHCk7g/I6qbwzMR9QU+jPIqYZtvnA6h0uThJRDXCGY9AB5mzQPjJ40TTlxKgRi7otArVgw3MTnxPksxASJgBZUl7MesS8do2JiVNPiAg45cd/+eWXpX/jhYX7+EsvvTTR6z///DrwOTXNEvn44/STeQ724vMvhPuMDmZxeXipko3p8z+8AG233Xa1/f+pp58xHegy/Ld8sszXClcxYlZBQn72s5/JJ4G8VAHv0O4PWK655poUI84G8lee8cMOwyzHQmb5pz7gpT6+6ELFGxIO9nHHHSfxuV6cm7XlE1WVQieappwYNWJRN2CpiYlzNmiF/mwmhEBLeTFqxLy24KmJiXM2aIX+bCaEQEt5MWrEvLbgzoT7ROwPOgCBPgE1Hxm86DPlxKhjS928Sts4BkMeeuih8hRa9kLbbmz/vFHaCy++GN0SBs+t4tcNrPr4sE+cEvEp9ck8/uGHH15+Sc8AcRBIy7bbrruGcvhSeI9plPGJbxXzbghPPZXlsdQPcG0Y8qfauU5uNTHjI5ZCf/YFh5byvg3xX6R2OPXUPMOvKOeea67yC3o2Q57T2nKdU87EqD9vsoqBNr7uA2STxTT/N998c2jDcdDw7LP7UWlQnojplXFnUtF7eOx/XNf/3PcfpxRr5iPDe1SMnPiHlNjneT3T39HmW+j/HIfrxP39xRf/F90QFj0pG7TCsSXPJkZetP/yUgD0xz93xFordsUVAzRPbsD3YSpT3YF4fo1V9L+xY/UPGtCB/dFHH5Vch1NP003wuDa5LmxywRuvv176JSi0bum14TXbR48ZnZuSyzRKjKrYqFFflnPPTeu1U/353vYCLQGUmbQqlqlpBH82k3HG95qGp0VuyYaajwyeGVkplZPXP+o5rOpEhDkbtEJ/dr6a+D4ZlI2YNWCJAhMtBDkbtEJ/9h6hpbwmPvIRM+GzJThUMkHOBq3Qn70htJQXo0bMawuempg4Z4NW6M9mQgi0lBejRsxrC56amDhng1boz2ZCCLSUF6NGzGsLnpqYOGeDVujPZkIItJQXo0bMawuempiY2TKwir9iJC6ckaLu7GRSoOjAnCtCioluJg5kNHfKFVQZcnayJj4lIyYwSzDLMlYNGc2dMqGD3EMnPxjxZ6ui4dTy/PPgZ/7Qtvsee9REjSyOP2LEx2X/C/vL7tn8qd659Hk+1+uoo46kz2+mtRejzbfYIqvT2PLLUaNKHkRYeaWVy2lJ18fvtWyvsh8NnLZ39Ot3bmJzB6+x6uqoqDs7WV7/NA4pJrqpFFSr/JtckCY+p0GykOSUiJhApCxAlmWsGjKaO+UKqgw5O5kEiA4y76SY6GbiQEZzp1xBlSFnJ/um4s8191zJi9Ctt95aU1cqaFLW8a//4489bn3++7SmKxz5+n/+OX1yTPel6n99mZqbyjjclgBIY5911lmZXRv9QWgmmtE5WhVduRWN59tuvd1ecE888QQqWlB2NuxkjTVWlxgX9O+fBg/UKLpvye7VVIcZZ5yp/Jg2CrTD+YqRQxacTDgt4m+33bZaR5mpV5Q86FV3RHPnuIK6UjhZe/FVVhcx5X1b4s81J/qEtr9bb70lXLC0vjk1rvrzwCoGJjBY8BB9hjuWDDfaaMOsHRflsvSbx+vrjm/+eZa3/83s2ZNmrLpr7K68soPsmWeeqcTm2ex89OixcJRR+5ttttnKj2mWd93RXv25jq3iqy+SRgeZe5aV5Xa0LqK/R/wy6wfRXCOJkwqqDDk7meY4MBI+eyFGhZcVkbXM3ClXUGXI2ckm9/j7/GIfuldqf7jsssuqlZ+E9e/XL8wmDfEff+yxSvx3332XlrOgyQP0BzC0kd332D25bi7zejld/tdffz2zY3veDGv0aDcb2ulWggdGfv0xsOr7/BBaQoaDb7jRRlpWN8C57DLLaH+vxCJGhVfS5lVYCiD+dl5wQX9SdcoZOgBLAcjvLeWK4vMaq+21v4MPPkhzE/LP+Ymz+GM2uP68hjryz8//w4YOMwUtijsrGuRExAQKj9e9XWGF5c0f2h/8X5q1w2juHGeor//ee/3cytZe/VXmVFug4xNffJG9FMuVrYlPyYgJzDLMsoxVQ0Zzp1xBlSFnJ2vyT8mICcyyy7KMVUNGc6dcQZUhZydr8k/JiAnMssuyjFVDRnOnXEGVIWcna/JPyYgJtOy6GavGUyRJHrM8I/wEe5aZu59nkxsS3Dja7DKkouIZTXzJhk+JpW/i5T9du6go9z/ggBCldf5PPOG38kDjHwov9w8yWcEH0u7YW221VTld1+ncy2NbeW6/c+hz2f3iw5E80OmD4FtvvamtkXy9+vpr5RprriEPegsssEC5zU+2lo1q5uG/LjsbXl/rk09p1lsWnyskM1bpYQ5lvv32O9LmLrX2yW5dfzY0zSpSGz8kNQVmC7ZnNPElGz4lSFOT/6+l/W1LM0Glv/ALHv3/w6l/CFdg4rT/U3h2TnjZPeFE/ozYX+zY/mefY3aJj5k86MMM/34ddiJ3tqHh8KYW/v7A9j/+8Y+tFSXhhBt9rLLKymK7xmqrl2NszTiYxvqvTnKOkcwGCvGhzRv9yR+DKP7FF10EdlrdLL7dY2KRop1r/0svtXRSx1tsoK/W0PkgtKLiGTH/qRFTsf7Rh7MV1NFVB8qpqHjG5BmfZ0f79vcHWtevUplO1F9nrMZBEG5TD9KMVc7vO8PfLeebfz7tA8RH/B1oMHF88y8zVqn9wbZHD/rCxKdbKuEZmv9/0O+k9DuyRf975+23xPSHP/hB0va4zL/97W+DX+8rpCgHpLLddtuX69Dnu3p4m45d/6WXWkrLwuWkctx6y6A8WpX24UTqGR2LnyRT3Hhf1dCVcBXGlBP/o48+Kufn9kl5n3+B+cuPPvyIavP11P8XP/+FtUH+smDkKJoxW5N/3myQ2y/a/worrFhTRF/mmP855pwj9gGq4xabbxZrZyaG1MbPW4BtVucGex/igVU6eCB4vvnmlXpJeUPf29425gplY2ULa4jwnn7qScsLXxf+b0sBsB0fzoRJW2M16LPNkNoZqzH+wQcdnMahsn41hpdHSZ0//vjjSf5XXpnWOU9VMhuNsSNtlHfEr47g4rlDZbxJ1nnnnldOM43OmJZ6hv6/4QbrO/0WqIvPy/4sQG2Xfcw333zlhx9+oMVzOtFLrH+sg1MU1NHRMMUqKp4RYniWWTfxLS1VJLQrE1jWKkhFxTOa/Es2fEosgU37s7RUkab9tW441oIEsdyB7RmTf/9zA6ta8LT4oVKemddaZNE2VY0UMECkK0KVeLnhhkDbMQRVms9OklDgA8JThCrxcsMNgbZjCKo0n50kocAHhKcIVeLlhhsCbccQVGk+O0lCgQ8ITxGqxMuXX3EFetiMf8n/3e9PCepOS1ClR9O6Zb3pU1x5iKGHEDyoDhs21MrlLMXXRhttTIvWL6664cGH7Vag2Pyw25Ne8rrRGo54MGLZO2+/Lbav0uL2c8xOD7bE+xmtx/gZzWCD/w8++KBcd50+IkM5DqCBYchjvUuaHXtOEh+bV5muIbByDEGV5rOTJBT4gPAUoUq83HBDoO0YgirNZydJKPAB4SlClXi54YZA2zEEVZrPTpJQ4APCU4Qq8XLDDYG2YwiqNJ+dJKHAB4SnCFXi5YYbAm3HEFRpPjtJQoEPCE8RqsTLDTcE2o4hqNJ8dpKEAh8QniJUiZcbbgi0x5aXX3659W/uf1vToCSrpaqRAgYITxGqBPKVVl4pvGy1lQ/S7uPpAa2y7L1c76SP496z4447kknUA8aQlwuZfnratVzuN3p/43sEb+ABPY5nuCFlyZ8b8owajnPJJRcHJVXgs1MtV19tVdHr3z/69XKOwQe/2HP8tWhmrpcbbojqJ1FEpgp8hiov2dLF3U+7Tt+t5Bm+kMNThNEHeKZrSEXSbv1jaSJWcQWXoWRebrghUHYMQZXms5MkFPiA8BShSrzccEOg7RiCKn0Z9Qm0P+0TP4KBlctZmkwRlXg58AG8Ize1Dz/4w0sByEFK99xzdzl1vv4i6Z915hkWA74ATUAID6zKb2RoLz170IxVOkzXEGGb5NjfxPUp2X7TzeKg0kEHHWT3B/FNcv5s+b3334eTDGoQhOp3Tj+p7zY/2cYVBCbQQlGirZOIkAf2urgZc127aT+ApwijD/DMlyEVSShbtE1VIwUMEJ4iVImXG24ItB1DUKX57CQJBT4gPEWoEi833BBoO4agSvPZSYwaNOhm6xd70hIq9Uf0Abn5MqQiaZl/fvVarteyElfvrd8X44or4vJMWt/+uS/xAKbpGpLGf9ytC4o2fmOyFng0BAYITxGqhM9X8mf33BfpP56/rb+T/J6775bP0RGT7w2Mn3HmmbHM4jhGA8ZQZ6zS7570d/39k3XASQY9NjecEFljVcqjv30c82GesSpKqslnxdi6LA8JM1Z9OXld5vw45phjkvyfGv4gZb4MgaUyVqX9H/j5HxtiMTdVHVvedddd5Wy0BrrcP6nMDJdcckk4clAtvT3wvffaS+2p/jfdeGMaRZSiLWzUcaSAAbrAAVWJlxtuCKwcQ1Cl+ewkCQU+IDxFqBIvN9wQaDuGoErz2UkSCnxAeIpQJV5uuCHQdgxBleazkyQU+IDwFKFKvNxwQ6DtGIIqzWcnSSjwAeEpQpV4ueGGQNsxBFWaz06SUOADwlOEKvFyww2BtmMIqjSfnSShwAeEpwhV4uWGGwJtxxBUaT47SUKBDwhPEarEyw03BNqOIajSfHaShAIfEJ4iVImXG24ItB1DUKX57CQJBT4gPEWoEi833BBoO4agSvPZSRIKfEB4ilAlXm64IdB2DEGV5rOTJBT4gPAUoUq83HBDoO0YgirNZ0hkYBWEcc3eJFEUWdBSmPNraTADTEEsFTxjii3RsIwIlAI0hfZoKKWBwa34/g7Hf59egPwLCT+QyKeklqxq/g//5eHhAUYf1njGGc8ilUPsYBygA4cffkTy8MPxdqLBEf40l3cH5XUTu3fvXh6wP2bNluXOO+8sNksssUQ5auSXaYHI95NPPkWDILEs09DutLzul7WmEJ+XCsDsOI7L67NqmYNCtDBTVXDnqKrMWhrMAFNQ9f0dbn+SxKb+1sDQcir3KGiYQmDU0mAGmIIOtT9+8eQ1l7m/8P955p4XJVGIUOAKDWYaGFzUjdemhF/u8/z5YK4Dt5tvvnnQbbOX0Hnnna98/71sAEccqJc77/yn+ccgKff/l/73EtyGOlhUi//Xv/zVbF999dWoH1WDbUnLmqwmuhfwjssuviU62Jzy+9+THm2qQ4O9yTEB7f8Onk3o/ii22aabk2sUMsAURDEKMQHxLZT5YuTbHf9dWnZC+4T+5swzj+sTUvXO1R+fBqNPMPQDLZzZk0482do/rjuvb3k3DcLI0U78LWhgFTbsu0cPHVi1T5zIAUoO5MsvvyznmWcead9s06VtqvJpWhsdxzO0hrF+Yo2BGM3JsssuS+sx/0/VgtPcN//RhmcY8gDX888/L7q5DuIYNIXACfQdd3A/4DJo/M1o8NdqE3TM1BD4iAzDDLHIiuT8WhrMAFNgxTLP36L+t9OO+qzG1+Kf//xHkjNkBW1rYtR/4FW8mRye/SjmP+4kt4iUJv7jTz6RDc20nWh7vfDCC0kd+tHSXJA3v5kRx1pqyaXIJPUd68IY/KU64EJc199lhrpzcdJJJ1nfQ/ueRvr7YNaKoZQKtEZ6ys1Yxe8fLwWA+DDx9b8cf9yRvqQ50qUAgrZVItIHH3yIK6NeC10KIK3/9+j53V8rrE3t45t7Q8oSG+vKuuiOLyVw9GmnnZb4X2klmpHMR9AxVUNUzPH/RRtk4h2CN6yCTdCIoGIbRYKJHEoBpqDqG22JHMAyInX+Hc8MAk9oMANMgQsCG+g7UWS5YITm/FoazABTUOMD+k4UWU18n4E8L7U0mAGmwCU5OG7an2UYmau0c2iYAnIHgaehlCYe3IrvJv+WxJY5goYp+HxDSFDkUAowBRO1/cvAqoR3F9EVx641iuRlwKMsYpABiqQidowmPlKVQGQIMBEGIsoiluuJpCJ2jCz/1/397/GhSP6yXZSLLrYoNT5n4+KffPLJUZ8eMvFX6k033VS02Or1116nT3d+5YoWfV0f4sFuMZrF+sUXX7Rsf48++ii9zOnAzlm0M6se0R+C9OrVK/xlXh8Gj+fPEe1Qfb95Fce3gVXSg0dAM3VIlEXMiQUVSUXsGDV5ZUNoAOZ+vU7UrmqJfcWJYzTxq0kjDjIEWKcUZRHL9URSETvGFJh/fOqOF1Kemd7q6Ej9TzjhBLuXbLTxxuLSZSoJ8YtfxM89UY6bbsJOyVHVx9+nxmaB+eePyg5DXMDTw0vazLRB34033FjecMMN5fX0n+ENN1xf3nAjwxtJdoPMxOcy7bPvPqpzveqxzPRJ97jjeJMpvT/la8IiLqArmqFRFrET6D4Hnzwz6bw//jE25hrLuvs6q8EjoJk6JMoi5sSCiqQidowpsP2jjrEWY8vVZJZy/P0bNmzYBNf/igH5jNW2ZGCV4/OAxQb0iate8xh/zjnnLF/834t6HWNBQ9GV4Tev4t+/GWeckdZs/CyWm7Dc9K9//asbyC3KPemLkVxrww3D+q/h+QHtcY7ZZy9506AvvxwVysGmY8v33nuvPPywX1q7PeKIIyxuHj8a+qhVLV5+QGfmaf/6I/cDO5z+t6T9WdUyRGrqqqtix5jE9efBS17vntvAiiuGgS27ulSaFvE/pBnHF150IW0WuFd5yimnlP+l5778iLVQ7MsvR5eLLbqotaNtaa1pkUTF4CIycL/E8+eKvJ8AlQkagIjNXz0stOBCFoPrdSHtEdDqEPvciXknK1d/mR0afg+kz1D/yTdI5P6+4QbV9ZXnpKUJ8s2suEw+Pq81i74IeMH559cWHUW++JJLwgxa7kc6SDr4rsFiAx3fE1mw//77axzX/8fQV23xGFs+8US6LMFKvAyDO+Ab0InKVVfRL0J22323wK7TogkWbiCZ68sTNvRw+i7/PgY/f/D9Y+mll0nXQHdK0UvEnFhQkVTEjtEiPjQAc79MR1nEcj2RVMSO0cTPUyY0MgRYpxRlEcv1RFIRO0aT/zxlTf4pA2ghgHVJirKI5XoiqYgdo2l/ecqERoYA65SiLGJxYNVbRLlyc9p0q4Iqx5QjQkrxkSWyDcud5HRLxdgQTaUOaeKPM/8HHHhA8vAlD5z0gHHCb2mzFjvGliM+HlFuu+22oovPlvCwxg8kPPCBo2/fvrSxxrJykfLrfzttGKV2+tD2m2N/A7Pai8rrr4k+xdh9993Lc/r1o//nlGcT7If/9Dkhz76x8tBD1cY8UJNdf6yxivi33xZmrKIETftDJjJYTUyVk5kwmeW/opE7yWkzqAqqHFOOCCnl7S8KCcud5LQpVwVVjilHhJS+DfGPP/748LKlfXbgVVdVUhcr7bB26v/RRyPo073ZbDCEl+9o7XRsefLv4kw9vv/03WUXF6iK8kz8mWijKL43+fvVerQJiR35RXT0YYceltynvB/vD/cmf+9J8Cw++2G5vBS7eFKmnG5Z0Jgqvs/BJ/vlXevtIH/fhvYXa2s1a91UooqYTar68x/u7DrTNb2K+kTl6GD+//THP+kfKkMbYf/6x4O0Ybz7zjvlPPPq+otShqDPv4Gv0xIWdmTxscaqllv78sGHHBzHetIwNBjyRDknNuqiGDzTGv69Ku+OrptJatu2vFD5uW1O3236cm1a/mIP2txyM1qbcvrpp6fcafzey/empSu+0CJ7p1YJRqqCnCP9gOOF/9IPSGlSXf88flJcEN/R+EOHDi3nmGOOco/d9xjv/OOPTnj+5OvIz5FvvfV27fXngVi75tTGeBD3s8/0jwRIPzeb/Prz+qv85RPaH7dP67s1F/W0007XNkV6fN/nPyKM/Sr3ahFTpCa+V+D+7u/dXOebkyUGVPttWhJrXlpvFb87gJX+7p0T/o87/lH5/Tvr7LOiVl5fouUPilRX9CPO01/+8pdoEzBvunPfOEsZdjzI6fNvs36D79/9jpYb807Yb06HWLLWOdnxBIv7779fuHWqPLsf8RlecD4vzVOnGRw70c9o6YrZZ5u9HEpf0VQPp1g1raqDQ2bjG19MqmFaRmupitgMm/hN/sez/UuzadmoqoIqxze8gDftr2l/3/L2lw6sSoN3HaHFKLZpuF6kqGOwEkiBfAo/J4EPsfeX8Jr4lppaxCVLUcdgA5AC+TT++ecBUP3rvb7o2IMJPcjwLNQTaVbZzjvtXM5Os0/wMHrcccfqWm/uAWwTesEfQYMlp59On+MQf++f/9zKheJxUfXT1fjgdu6555Ke12CteNiGFPLCFMvoH8C5zFqH4JfiL/6971Xi88AqHkrZxmasthNfSuKKp6hjsAJIgXwa//yrfzgQqnpyYkUdg7VBCuRTE99S4dLDqZKDhCI3OqHAjdCJFXUM1gIpkE/frvw/POTh8MKi/e9A+mNMcnSw/l+O+rLcKSzvgb67+upr0My2LxO3RpB/nd2j8eeXjSU+NHGe//feH172WWcdu1/5l1fe6Gk0zXRCkcVJTf/nP/igbAsusGC54IL8f6FyAYa07MlCDBdSPvS6z9JdNnCZb/55ZeCLl02YmzbXm3PuuWiAag4aUOpm95+naDMrO2rim4wRV1hFcR5bzhrWleP73zI020aVv13tr1X9LUfIj0A+Tfr6P/ww9Qn3+3fQgQeG69S5+F/RYE1c7oJ+x4Lv3XejWVqonzWFseVgWlMQOmh/DOeZZ+7y7nsGq0mwg7musRp/Q1mf/29Bn83/979xJ3WeJXfX4LtkcAy/qzxwOmjQLaEo8BiuAJFXXnmlte1YrhDL5cn//i622GIlDxq19/svEVw4RR2Dc0K58+srLrPs0rX1D6WVfCYeOtn/vL9YTvY86dufxWYElRE4ecT/L82WfHmY/pEHxbMyEyPhUf7XX3+D8BsTn+G4bXan9XrPPefcEjMgR9FvBC97sSQPjoZ2xTM6P/yQfg/EKZ/az//9991fzibPsxprZpq5/cgj1Rmy/Hw4rdsUie//7w4f7hIeaoTKjGd8LievQYr+rn1M+8pu3N/zg/R5DVE8f3NexIbqz8t03D34brXI4u+3b3Um6bY/3VbyJKqI49r/D7AZXcgtx9mY9kfAoXbRmmf0zkdL8uA+IfcUsj33vPPsIrP2UkstGX5PtZ7Pv/ACXJJe9BeZEVuFNrkSvzTIy8sJPPfcs1HIGJnzJlbr/XA91aP4q6+xBv3O66zZinfW9x4o/iuvvEr3wP96bsSdsqKOwVogBfKp/fYn5Y3eSR0OPNPhTqyoY7AaSIF8auJbKlx6OFVykFDkRicUuBE6saKOwVogBfKpyb+lwqWHUyUHCUVudEKBG6ETK+oYrAVSIJ+a/FsqXHo4VXKQUORGJxS4ETqxoo7BWiAF8um7k/9CsoQECKGnlOUohzr1zqHwBei8pCxHOdSpdw6FL0DnJWU5yqFOvXMofAE6LynLUQ516p1D4QsweOH1EwtbmzS+zOGBFQ9J+lBDfzFF9orvAAAvBUlEQVSmtRZ/R7t487H66roTNh54oMMPWLPQAMNbb70ZohBAXIJxxqo+1J7DA6t2QFFt+GF62ummDQ9VRXnbbbfJAya/VPKDJv9XfHCAkX7uuefMK+Kf0+9cexjn8vKDs4uoQWGVCsDtHIQvQOclZTnKoU69cyh8ATovKctRDnXqnUPhC9B5SVmOcqhT7xwKX4DOS8pylEOdeudQ+AJ0XlKWoxzq1DuHwheg85KyHOVRevCf182Q480kOnQEX59+8pnMPOXZRbhfeLjY9xYrjzzyyPLqa6+J94wQSF8s9Z5x6y23VMK/Q7P4Tjv9dPoj0E66YRX1b/advPDxLDl66Vp66aXLww47rDyPXv5epnWd4xErffFFF4v9LN1nsZf6qJdiffrwIC7NkOE1VuuO4PbmmwbZ/UcGAkg3RmRDRzm0ziXznn322ZBHfVnlT6prD/gCdEopy1EOdeqdQ+EL0HlJWY5yqFPvHApfgM5LynKUQ526ofz5cOwTbfS5ajt9Ar4AzUtZXjVwYHnooYfqchJhMMP//k4z7TTl3nvvLRvv/N///Z9YPk+/bddee62bJarXP7b3NhqoWk++6Hh52DBrVltusZW1P9/vgC+1zFLleuutV846O80kD/2Hy8KDN7yG6bgO/oKk63TTkW1eHu2Lwg91XG211WR2dZoSRzl0XHGfffY5Ky/39yOO8MsQkTV8ATqHKctRDnXqnUPhC9B5SVmOcqhT7xwKX4DOS8pylEOdeudQ+AJ0XsDijY2s3aMfcBsMOP+BauWVVy670aZkuKfzzOff0MZqY2QHeuc0RxEEkOQ8o5n9oZ13pY1Tj/j1EfJM+Q9aG/YXP/+FbByF+KuuuioN6LlnyjxGezTiEhx4tevv6GOAVFfe3X6vn1N/v/SyEv2d4/r+jvqj7Nyv1l9/fenv/7rzTtps8dKSN3XkNUNTXf3923rrrWk5gwtpMPkR6Rq83BZPOuizbh/NR03+eePFP//5zyX/QYmPe++9tzzxxBPDMjh5f2+jtZOnkhnH115zDW3CdU/Is8bv3bu3ZQupUYajHIo1VlHf6akNHH300bLMzn333VfyWrXLh810ub48AP7KKzqoL37hC9Cix1tDe/GdeudQxAV0XlKWoxzq1DuHwheg85KyHOVQp945FL4AnZeU5SiHOvXOofAF6LykLEc51Kl3DoUvQOclZTnKoU69cyh8ATovKctRDnXqnUPhC9B5SVmOcqhT7xwKX4DOS8pylEOdeudQ+AJ0XlKWoxzq1DuHwheg85KyHOVQp945FL4AnZeU5SiHOvXOofAF6LykLEc51KlXUB1YrbBrrGtYYiZ8JzTUkNrn1yitBCdGjbSG1cRHqlxyDDXEshk5tRm2CzFw4FXJg9dKtN7UySedTAOoU8mDkH8o+97iS5T3/Udf7NgBr7vEf/X3Ovzg07Nnz/KJJ+kzoHD4sjDrDhrMZD3YnZcMrJKCM/gfbUCFhyl+eHzzjfQzRw0RDYABstzjOmM1Drjcfvtt6sKfvUGF74SGGmKxIieN790p7jWDtIYlEuE7oaGGNPFrUhizE4QJqJHWsJr8l+WhhxxmfZZf/j75+JNKtpE6QFbwOM/2wQwg9H9A9HOmF164R/AdwYsv/E/i83IgcphjRQYPHuzuFRjIiS/m3r+//9hnoAgV/MpmFlQW1uWXN62IBXUVG1v26aMvpOeHgVWnldR/f1rugOvHs/+zSiC68xtZgolT55nQ/v0vtGvC5Xzs8cejajB3FplDJmukNSwxFL4TGmqIeYuc2giuHF4zsGtYk2v8Q2hAFO2X+wSvL8mHr4LHRZicxpaLLrJI0m7Vnw5UwLe2XR68XVmseUBDefF3FHQOr/nbtRaRN6+CT4Y9eixcXnrppTIzFXY+Ps8C5dnpH3zwQaiUq42hhki9hw0bJrPRsREMBqbgfz76Aw1vWqWztKKtFbKGJTLhO6GhY6kf9Ld8cBz0A7YzNQvgkRppDUsshO+EhhpisSKnie9z4TOveJSOGjWK1lf9Wdl12jgwj7aqbScOEs5HXyzwHyPe4tnOlvWIRa+RV41dliNHflHuu88+OoBK7Ybj+PbPeNeu05WnnnpqOWb0V0msGDZGAwbIMT3O9CKhv6NugOgfPj7+WKP9PdYfurG88feOZ7x6ed7/EI/hAQfsz0WSdZNh4+NDV2Uafyf6wyUfm2y8ictXjA8/BmmQdvvtw3JeIb+8IZceeXaIW8PigdU5Zp+z3GrLLcpF3Zq6HMOXsQttgsftAvdhjlHjTkPLuUZaw4qqTmioIRYrcpr4Phcu8QGtkdawmvxTBiQvLjmGGtK0v5pWFbMThAmokdawxET4TmioIU3+v4P5b9OeSR9i0S8RH/yrGFChPc/LgAOacgXxGh6HYkmDu038ySn/9JlhQS85oR20FYf+8rCC1lgqnnn22eKB++8v6CWp6LnIIsX311qroE/rK+2FZokVgwYNKl55+ZVihhmnL9Zcc62C/rJfTDfdtHTRq62Lr/8//3FHQQvFk5gficqClgIoaPF7aSRoNYD0V/FinXXWQQMqBg++u1h33UibILFmAh68Rlmcc855xcEHHShSjn/7bbcVG220kSnBCtB78jwzSBCv4XEoNe2/6f9T7v3v6WeeLZZdZhlqzNy2i2LgwIHFdtttJ7iefJv3OFSmrPY/8osvCpqRWIwYMaKg9f+K444/vnJHQ83WXWfd4p577yloxmpBswuJXV//xRdfonjpfy8Wu+y6a3HpZZdV/MEKkP0DB0RMhrRUS0Gz+MlPW7HSyisWQ4Y8HMR12lNW/vHrgZoA+vqnuNfwOLQmfv2feeaZYhnqE5x/8u76xNcTHzVT6GN6HFplseWWPyoG3XyTtCn+/eux8MLyGz9q5MiCZn0WTzz1ZPHmm28UtK5qsUjPnsVa9Ls/zbTTUu1iO4S3KvQxy2L48PfI57MFzbaTPrT44otRrnoViy26SNHWpYu1a+8HHgBZBhzQ6wPfbNPNiltvu1VImoVI/eAhwtGCoDXxrz88K/Ql9Di0mvjj8/v/3nvDC9oUsHj9tdeoLb5ZjPj442LW7t2LOeeau5h//vmKPmuvLX0OWY3Q59zj0Gid//eGDy9uvPGm4tnnnyvoSyt6fu1a9F5uuWI5+t97+eUL+gODtUN4q0If0+PQbB0/amir9dbAAaFbhV7D49D85uL//ve/Lx555GF5/+tC3fIUohdZdNGaHlpf/xdfeKGYeZZZinnmnlsq88knnxRDhw4tXnrppWLYy8OKbtN1K5br3avo3Xv5YqaZZiKdyav+egW+ufw38TkDTf7H5/6b/9ajJwFqW6o7ew2PQ7fJf5P/Kff9t65FS8uOA/VhhF1AHG23v60Zy5Bo2gHMrAkxXOwDJcBLPJ8VvawDgYOqWRNiuMgCJcBLPJ8VvSw47QAwa0IMF/tACfASz2dFL+tA4KBq1oQYLjKleF2yuWntP2oc+rkVvRvSy4lTTq06WgKzJsRwcsKzRCWmPv2UssaqK1dUHlu+8Pzz9DmTPCWJzRGHHz7exbCYLv659LmTj53OWA0W3nC8o1UVvRvDK/X0koAby5Cq8/HgmDUhhjfxKQMhGwJ8ZjyfE+VlkrgOncyaEMPFQ6AEeInns6KXdSi0jyJuUk8+jpd4fn38NdzyHz/ltdraOcwzIYaLvo/jJZ7Pil7WTqAWIrMmxHDRDZQAL/F8Vhxb7kMb8vH9ZxZa5w/rBdaF67OOzli9oH9cCsA8E8I4f0ZJD61y/+ElTbRQpiXxxLexDKkLWfLmX9PSZ+K4f7N/f5g1IYb7AML0koAbyxDvdrxxsybE8G9hfFkSJ/xG/XTbn1p+rM6TUf23ohmr/vePZ6zGI5TYFzwKO4x5N4aLFx/HSzyfFb2sdfiPaBMjWy6IrsOf/3y+jyJuUk8+jpd4/vjHb1Uy80yI4b5kwvSSgBvLkFYh2uWbNSGGN/EpAyEbAnxmPJ8T5WWSuA6dzJoQw8VDoAR4ieezopd1KLSPIm5STz6Ol3h+E7/Jv28bTfvraAYse4QY7numML0k4MYypKOhfZSm/1Ma00wGSoCXeD6n0Ms6fgnMmhDD/ZURppcE3FiGdDy4Lz25ST0FSoCXeD6H9LKOF8GsCTFc3ARKgJd4/pQTn2as0vTAmoOZyd/2icFvgOCxFb1cyqG6zgKoQPqLBFnBzlsoXn+GC5MSo4k/6fM/ZMiQYrVVV6NrxlegKKaeeuqC1v0rZpxhxkmaf1qrraDdXEM7aSv6nXtOcUCYsSoFcdefNrMpunadnv7S/ZWI5p1vvuKN11+l9jiV0FJ0bnDSiNL2R7uMy1+x9/oZzyDTg2fHHnjggUKw2e2331FssNGGaZt18Vmxaf9N/2/uf9Jligsvurj4+d4/kz4xwwwzFO/RrLSu3brW9j+1kI6paItzRWMy6n+0K3qxwgorFWPHjinoc//iLpoxP1UXrkjyg1is02ed4t5/31vQUgCUn3i/CYmRmXsrrbRy8cUXnxfbbLNNQevlWTY6W3/aqbnYeeedpXN2oxlWb739Js3q6Y6SBf8V7xYXSEVjMso/l3Fyv/9edMnFxV4/+5mkc3rqE++/R32iK/UJOSrZDfwIKhqTMP9bbbVVcdNNN0lwbsE9evQsXho2NG0zkzB+rHXEJrT+f7mK+sFO1A/o6NqtW/H2W28V9IeQEKDiPfAjqGhMYfWXiyeVSJ9/tIaV2sWKB6yi0dR/kj7/5hegyb/9mlqTbd7/Yk4m99+/5v5DzVY6cXP/bcZ/mvGv8GbU6uki//mzIRwTTGnPHzJYTKewXxdIYvhR48gGVtGHQCBsAYMQJKAbs674a+InGc2JSr4SBSQYcPzz/6tf/co2BqDOUK6x5hqJZxATO/5tfsYqzTDhWaTtHbzzNg1s8U+X/L/44oudOuoNqKLLaeF/+sEv//qXvwZdlfMaq/DDkDfSatp/mjuXXEEn9vWv+Gv6f57yhK7kK5MqmV1DkIAT6f5Ln+CVNKBqfeiGG64PpbFAaXGMbcgU9/tz9DFH2/2HN9biTYvioXifPmtLTmzzKqgQHE7ryi6/fG+RzzXXXOU7774TzRlL/KUiEbtr56U//vGPw3Voo01CdvYi/pHXA9AYLDJm0Mno1FNVP5HDFjAIQQK6mN+2+J9+8in1iemtT9x4ww2Tbf63zGes9uzR6fYXGk92wTPya7j+P/7x1pb7vn37tiiWFaTanjvZ/1oEasFu4oeW0eTf3QslJ037Q9OohZXfi0QL/QowCEECupxX/DX5TzKaE5V8JQpIMGCTf8kA0gHYtD9rNZX21PQ/y00dUslXooQGBhiEIAGb9mdZq+RzAttf4XLrghiavDDa9YhiwyqyjJGRYie8GoFn+RdWz7fAAanIMkZGNvEpA5KTLDGLLNLTXkh4EJIHDXBkqmALrMgyRkZGmyC44/Y7Ylwa3MRSAK2u/6677moDGzwYOtPMM5dPuc2x8nZ940030c6xXctevXpZm5bQdNLNq3RjEPZ1G22khaNVfMgBK/XLGBkpZsKrEXhWEz9mI2LIeoQVWcbIyCb/lAHJSU1iPGt829+etMEI/yGG+0/fXWggwztBrHi5pvj806z5crXVVrV71oYbbVTS2n+xhlT/dbAUwAX9k3TcTveXuHN8UV533XXRjjCfuvHNP9t89umnsjs237f5Ovzf/7d3tTGXVdX5wDAjVkFATTQgWhG/SBsrQlLBjwJ+NKUBTLQ22haxw9j2R42/morBUA1VG+sPbS2Q1ASjDqZqYbDoqA0Fa1Nt1FIQhkGs0qgV9YfFQYeZ273X2s+z1tpnnxeRdz7AdaNnPet5nn3Wvevuvc9571ze98YbeF5/TpDCDQRPPZD6OK9Ef5JCdKlZBoKnHsr1N2/+wzY/Dlm9Fh/uuSbJ6/Qvtmme2h+vv36wWr5Twbn85KeUD1bxXNwNpn9e0BFnWkd0qQwTbiB46ud5/f93T1kHh5e/Et/WwQ033PgLOf/w3tToewp+X/Vfzt8V7FKzDARP/Tzvv50crzRfv+8puiLcQPBU9t+6YQgdtDjTOqJLZaBwA8FT2X/rhiHrO9BM64guzf6XDkhPBo3xVM4/64YhzDqLM60jujTn38N8/pX/pM4/+rff5x63MQMKtzAqlePI427WffW52Q/2OOtLBwYtQQ9VKseRZ6H/5RfJyw9X/oes7du3Lzd7dO5W8IHWv2bbNfzBrta/9NJLS11fwOPVaseOHasNh27gmPpBwmOOfMzq3X/97tWtt97GZ/Hd73y3fDj8Z6sNh1XvIatPXnttOW081zvKX3fFhxH1PNuu2TZ4zXHMvuh/fL21gq/p8eDpNQpj1F2Og2H96+fQmdkP9jjrSwcGLUHDVSrHkaebfw+H/u/cuXO18TD93Z5HHXXUate995aX9fB+/T/8wQ9XL37xi7kHPf5xj1+9733vXX3jG9+Qtx3fWL2s/I7V+/bct/rCF/5t9YYtW9RfPvTZtGnTqvwBD3v7Z5PFTx6P25COuuojV/G5vPBFL3rY93/WLmmLNoXHrkdqGZFV6Xmfeyxnmdv15DzuvOP21WEbDpMP+I46+qjy18Z/ogMPsvX/2/Ubq+1DyHr9O+7Y4wYv8IG//gO1/rdu3cp1UH4dR3stLhxk/bdn1vfY5x63EQMKk1Klchx58vVbywPqm+Vzj7P/0oFBSzDhVCrHkSfnX5h1lvTN8rnHOf9y/pUODKYESJXKceTJ9WdLLqC+WT73uA0aUGi4SuU48mT/Q9ct6Zvlc48P/v7LB6v+XyV0JrgXIVDzenRKw3PGGuUasDiZyjmD1lWR02uNTsn60l7tjXbaY/cuSOMWtGJD/9/0pjfxh/76g1b5K6irXff8uDrkZHKa7rTQlF6oIQMXtHr28v7rH5Bq35optV/9u692p9SxchpX//f+4Pf5Lbn6AyG+MVef+7HHHrs68WlPW23cuIk/ZL2zfIA6epx//vltrNZ/39+812xSelzfWNiVQcZY6TDHqQhA/5UVsxnklHreTnHvCuzqQ8YoAxe0Ysr6vjfSLLZOm6x6p2T/pUvWu9df8DruH1dccUXs4cN0/v/k3l2rzZs3rzZs2BD2nxNPPJF7yuFlHz2q/KGrukfVvanuU895zq+tvvrVr2oHQ2+6WSbt1R53ymz+vfAFp7PG9ddf/wvR//W6/nTNiqnrtL4TKtu7ArtXlbvggtfz+hPWBIaUeKD339NPP51ztc7Rwx/5CHt28pLslfpXaCzsXgVXX2D9/4ImktfEbINFUr1T3LsCu/pe0H4FR11n11//L/u9Pp4NozxxfW7kHDjQ73/W9++NvFn27oikeqcszj8b3JAM1HPMtEJk/31vui6LpHqnZP9lMmlvdF557GaaNG5By/mX6y9cm2Wy2OSRaaNzp1Ny/UmXtDfaMI+thdKo0GOnFZj7v+9bN8tEUr1TDur5p3+8qt76y2dK5ac+wBLLD4E/86OOqw8ZEhLl/XEms2jWZyvYTN+5ZRx6GpL5mJlciD2r+6YnHXf89O1vf6cMUEf9wyzlB/T5CQZMOGdI5mYv33bbjulT1103/cXbLyl/9Ob7xVxnUP384ZDpordcNL3yla+cnvLLT5mOePQRsxPtunfX9LrzL5iu2rq1jMBZq03PgXBo+csyb/7zN0+XXHKJnKM66x/A+vrOndPV12yb3nLRRdPuPbvbyz5kOv5JT5re8573TM875XlT+YB2OvRQ+cs0MnbpgOq1Mp+KJPMRwQt/rr/SiVz/dW7IVKjzYmH+VKl/hDkVkt45mJ4s+uD6f+edd07PfMYzpt2775tOevazp5tuvqm8hPmLmD29dapfX+mBWn+37dgxve1tb5s+/KEPTXv27C3PpLyo+mTktbVYwpFHHjn96RvfOF1U9pxNGzcWpjzW4fV/8Utfmk495RQ53ZlnnDV95jPbF+dPLVcffGfWoX44Z0i0lj/O5Idx/bomnvHMsiZ+uns66aSTpptuuqk0Xjt/MPT/nnt+PD35+OOn7/+wXHvljdFJ+8V//6Jc//z7thYO72lI5qNmciXW6fr3H2UdnHLKqeWEq+mMs86YPrv9s7MnsC/ry3s6KxCfwkxex9ef9eWt14ZzgWX/fQdy/nXTI9ffuu2/uf+UuTVbYH71DeScfzn/1un+J9ffwbH+DqmfAsf7D1nlbSdwO0SjvVpNmi+I7SzVtCoTx37Ixlnu7y/mVV99lGe4UELpBVEHy9isv3b/r/vUp6bffPnLpdW4MLz1rRdPF1988T7r/09/cu/0iMMfqe9S/WFT/tRlSevb6R4ve9nLpuv+6To/DaiW+Tv91bveOV1R/jL57bffTl5AOeVLX/LS6V3veOf0K8/51TD//vb975/+5I/+2Eot1L/jjp3TU596Qs6/hSWm9IKId6PIuf7WXn9oFSeaELWv9fHQ2f+2vGHLdNlll8mz/oePfWx6xXnnyUv6RXn/7/qfu6Yvf/nL06233jrduuO26e7//d5UfkXA9MTjnjid/uunTb9xxhnTpk31A9Xynpbdx88KaZrsSFWrj5/9/S9/rGf6xCc+IaNuvPHG6bTTThMsh1x/B3T/2XJhWRNXXCafHdY1cd5555a3ZX3ff79H2Bvf0OD9/97dd0//+ZWvTG+/9C+nf/7c58rwuscUoz6t6elPP1E+/D/11FOnxz72cdPjyv/dNsQSdYa2f47R6YqpS0cBg/ootF7zH0/uvFecx3VwQ1kHp9d1sB/rS//8a6846x/Q9Zf9L1Mwf/4qSxObk+5adWGu9/7DEn4PyPWf8y/XX64/bg65/+yr+z+2+ADvv+Ubq3vLu+y+qYRrj3timAaOekAwjK9JfbCOqnIMRrXV4wJthvtBYXxN6iPrax9ad//+Ax+YLirf6pSfr1qDPvrRq6bnP//5D5n+f/O/vzl9/l8/P+25b890YvnB8FnPepZ8Qyzf/2665/zvGpL7n6yRsFDa9lDCAm0Gh+66667p2eXbqj/60Y+mE044YfraLbdMh23aFLfb6s/9t3VNu/tg+v+58sHYWWeeKe/TueeeO3384x9370j3/tVC9ZH91z602f1g+t9OtBi+VdZE/QZ3XRNPK/9Id/MtX5s2PaJ9W3k/1NcZZi931657p196VPsHze5Z12mhU6R+DFE+eKg3BOXxg+/fPR199DGCH+ihry/j98H8q+vgzLIO6sOvg/1VXwoPDlm/225qj/bB+z9ovVDZ/67d2f+uIXn/J2skLBRbTQu0Ge4HhfE1qY9c/9qHA3D9z/7n/Mv115bfPlp/+qsAao2w+6Foi/JNhrITFk/9eiv3xM42Su20o38ddCPM6MgGs35pevY/51+uv9x/Dv799/IrLp8u3HyhbN5/V769euHmzQXn/j//doy71D2I698555wzXX31NdMxxxw93XzzzdMTnvAEnthOm/3fV/1nswcA/b/88rIOtmyRe6j6je7ye3mjG8bIarbO9z979uyZrrzySlaq93O1xOjGrmr11+Gc9ZKXyHM/mPffc84t6+Afr56Ofuwx0y3/pevAXlbO/wM5/3P/z/mX88++M8vNF8A2KjAW13n/txM7lPWH1z/pUPY/P3/Iz18O+vs/t5sR2ra2f6+/g18F0J6TbCYVjz9GtSfM12CgingMh7fRJSzeqGf91vphA9f8HFzE7L92YNi+nH8yuXL95f5T1sd4iZTJIcJQvd/9p/76jk9v3z5t3frh6VWv+h3sRi3m+lvP9Xf22WdP11577fTBKz84vea1r5EbIDZ8+PZl/9ez/+w1QG0vHq7/siY+/emyJj6ia6L48v5n/fafs3+rrINPtnXwmrIO6sP1X4l6zPl/IOZ/9h8dyPmX869sTLn/5/WvTIPxJapMDhGGKq5g2FBirNsLHsPhuf/k/lMmRu4/+2z/4a8CkHXY1hvWZI2RsgUpiz6KbpgKkBFpCIRLHIQ3Ui0DiQgzowqQETu5pU51EN5ItQwkIsyMKkBG7OSWOtVBeCPVMpCIMDOqABmxk1vqVAfhjVTLQCLCzKgCZMRObqlTHYQ3Ui0DiQgzowqQETu5pU51EN5ItQwkIsyMKkBG7OSWOtVBeCPVMpCIMDOqABmxk1vqVAfhjVTLQCLCzKgCZMRObqlTHYQ3Ui0DiQgzowqQETu5pU51EN5ItQwkIsyMKkBG7OSWOtVBeCPVMpCIMDOqABmxk1vqVAfhjVTLQCLCzLiavvWtu6bnnnzydOcdd0yPOuKIePMYxrnEQZwqUi0DiQgzowqQETu5pU51EN5ItQwkIsyMKkBG7OSWOtVBeCPVMpAtlr82P23bto2/WxJX7c6GU0Jet/p2YiCtnPX1ZyP0oa6Jk09+7nTHzq9PRxz56Oy/dADdKYmDcSZ1GXyITbZ1UH8VRvvPewvqbB3hVAe7ii1tBvgQYWZUATJiJ8dz1mxm7KlmgA+RJwZQATIi1FjHqQ7CG6mWgUSEmVEFyIid3FKnOghvpFoGEhFmRhUgI3ZyS53qILyRahlIRJgZVYCM2MktdaqD8EaqZSARYWZUATJiJ7fUqQ7CG6mWgUSEmVEFyIid3FKnOghvpFoGEhFmRhUgI3ZyS53qILyRahlIRJgZVYCM2MktdaqD8EaqZSARYWZUATJiJ7fUqQ7CG6mWgUSEmVEFyIid3FKnOghvpFoGEhFmRhUgI3ZyS53qILyRahlIRJgZVYCM2MktdaqD8EaqZSARYWZUATJiJ7fUqQ7CG6mWgUSEmVEFyIid3FKnOghvpFoGEhFmRhUgI3ZyS53qILyRahlIRJgZVYCM2MktdaqD8EaqZSARYWZUATJiJ7fUqQ7CG6mWgUSEmVEFyIid3FKnOghvpFoGEhFmRhUgI3ZyS53qILyRahlIRJgZy3+bwT9eBRMiTXOglmXjXOkZy4kAEOdlyahl2ThXesZyIgBEVpsDtSwb50rPWE4EgDgvS0Yty8a50jOWEwEgstocqGXZOFd6xnIiAMR5WTJqWTbOlZ6xnAgAkdXmQC3LxrnSM5YTASDOy5JRy7JxrvSM5UQAiKw2B2pZNs6VnrGcCABxXpaMWpaNc6VnLCcCQGS1OVDLsnGu9IzlRACI87Jk1LJsnCs9YzkRACKrzYFalo1Qdt+3e9p4WP1dkmBwLsuJABBhHUS1LBvnSs9YTgSAOKgLSi3LxrnSM5YTASCi2CCqxYx79+4t/yn3atqwYYO4TcHgnrGcCAARQwdRLcvGudIzlhMBIA7qglLLsnGu9IzlRACIKDaIalk2zhVjdu8ua2LjYeWs+lUSKgCIg7qg1LJsnCs9YzkRACKKDaJalo1zpWcsJwJAHNQFpZa5ce+qrIPyJwMOLesgflGn91pOBICIYoOolmXjXOkZy4kAEAd1Qall2ThXesZyIgBEFBtEtSwb50rPWE4EgDioC0oty8a50jOWEwEgotggqmXZOFd6xnIiAMRBXVBqWTbOlZ6xnAgAEcUGUS3LxrnSM5YTASAO6oJSy7JxrvSM5UQAiCg2iGpZNs6VnrGcCABxUBeUWpaNc6VnLCcCQESxQVTLsnGu9IzlRACIg7qg1LJsnCs9YzkRACKKDaJalo1zpWcsJwJAHNQFpZZl41zpGcuJABBRbBDVsmycKz1jOREA4qAuKLUsG+dKz1hOBICIYoOolmXjXOkZy4kAEAd1Qall2ThXesZyIgBEFBtEtSwb50rPWE4EgDioC0oty8a50jOWEwEgotggqmXZKEr5gaxG98AA0PUWtWD8N2uQlXU3sBAQ3SkdpCqA2cBRtfrI+tn/Mhdy/nEpYNHF1YMMUVdPf6QqgJmzgauxPnL95forcyHXH5dCrj/dGbBTxCyyqtmRqgBmZuCH8FWrj9x/cv8pcyH3Hy6F3H90Z4i7BzJE9fRHqgKYORu4Gusj95/cf8pcyP2HSyH3H90ZsFPELLKq2ZGqAGZmyPuf0ou250pXcv/N/besk4fY/ntI+Rf+8r3V0QJ3a73AsQMsYjemnlr+qmz3i2OLHX3SE4/H+7ONHWAR/YhSI+tn/3P+yeoNfzigLJdcf3r5zv2nTI/c/2sT4sWjyxauMG3cgprXn7z+5PWnrJG8/8vrr/vDPXn/kfdf5XIrV1y5dI6vn/4SPHaARfQj8ue//Pk3P3/Iz1/0g9m8/ub1lz/hlcvFvv78o/yO1br9uh8rmRDEq9Ugg7OeSP54Wou0wkAigiAzIYjmQQZn1s/+5/yrN5Q6D7hUsEBIRBBkJgTRPMjgRF1EWmEgEUGQmRBE8yCDE3URaYWBRARBZkIQzYMMTtRFpBUGEhEEmQlBNA8yOFEXkVYYSEQQZCYE0TzI4ERdRFphIBFBkJkQRPMggxN1EWmFgUQEQWZCEM2DDE7URaQVBhIRBJkJQTQPMjhRF5FWGEhEEGQmBNE8yOBEXURaYSARQZCZEETzIIMTdRFphYFEBEFmQhDNgwxO1EWkFQYSEQSZCUE0DzI4UReRVhhIRBBkJgTRPMjgRF1EWmEgEUGQmRBE8yCDE3URaYWBRARBZkIQzYMMTtRFpBUGEhEEmQlBNA8yOFEXkVYYSEQQZCYE0TzI4ERdRFphIBFBkJkQRPMggxN1EWmFgUQEQWZCEM2DDE7URaQVBhIRBJkJQTQPMjhRF5FWGEhEEGQmBNE8yOBEXURaYSARQZCZEETzIIMTdRFphYFEBEFmQhDNgwxO1EWkFQYSEQSZCUE0DzI4UReRVhhIRBBkJgTRPMjgRF1EWmEgEUGQmRBE8yCDE3URaYWBRARBZkIQzYMMTtRFpBUGEhEEmQlBNA8yOFEXkVYYSEQQZCYE0TzI4ERdRFphIBFBkJkQRPMggxN1EWmFgUQEQWZCEM2DDE7URaQVBhIRBJkJQTQPMjhRF5FWGEhEEGQmBNE8yOBEXURaYSARQZCZEETzIIMTdRFphYFEBEFmQhDNgwxO1JXYPlelXU2wKh04jOaI+wN2LkHlwE+LB0NDraYHLut3n5oNmhgo7V6lBJVD9r+0MPTIkjDXGh24nH85/+RbaDZn1kY6e6pHUDnk+sv1l/vPeNWEvbZZApf7b+6/uf+OF8+Q1dVTJUHlkNefvP7k9We4WHSNtCMcef2p66XtI3n9zetvXn+xNfwMsa2b4hRUDnn9ffhff+UbqzY7bBJgH23TgRbn4DfjMGEWP62yk/E8Y+DOTkggQ3yGPV44L8xOvqbo3M5HSJD1Swd8N7L/eo2VnvjGuBmlcE3RuZ2PkEB8Psv+Z//lG9plZqz9X/P7WeOm2ww6HyFBzr/SAd+NXH+5/nL9tTXhF8Za+8pM84Q7CSGBGH2W6y/XX66/XH+yJ/iNwW8ps11jJjrCnYSQYHam3H9y/8n9J/cf2SHiNuH2lArXFJ3X+QgJxOez3H8O3v2n+2A1TgH/Jrp3v0FV1/bYqN4t+WCwpzy2MwGpurYHXrwucwuylEZPeUwDgapre2huS8vcgiyl0VMe00Cg6toemrN+aQX/1bVg6dugeZ7y2DoJpOraHnhz/vXdknzQPE95bJ0EUnVtD7zZ/75bkg+a5ymPrZNAqq7tgTf733dL8kHzPOWxdRJI1bU98Gb/+25JPmiepzy2TgKpurYH3ux/3y3JB83zlMfWSSBV1/bAm/3vuyX5oHme8tg6CaTq2h54s/99tyQfNM9THlsngVRd2wNv9r/vluSD5nnKY+skkKpre+DN/vfdknzQPE95bJ0EUnVtD7zZ/75bkg+a5ymPrZNAqq7tgTf733dL8kHzPOWxdRJI1bU98Gb/+25JPmiepzy2TgKpuuThB6tLhvqW6C/+dQ5CAlRrcYmvMjREHRKzdhoJWT/7X3/xspshhAR+whS8xFcbNEQdGjPloGT/s/85/9wKISTwC6bgJb7aoCHq0JgpByXXX66/XH9uhRAS+AVT8BJfbdAQdWjMlIOS6y/XX64/t0IICfyCKXiJrzZoiDo0ZspByfWX6y/Xn1shhAR+wRS8xFcbNEQdGjPloOT6y/WX68+tEEICv2AKXuKrDRqiDo2ZclAeiuuvfLC6t7wm9xt3+AoJ/KsMODrwAWizBLEk7RdL4OvLdqJgtL7zDTBnj+LIrK8TMPsvHQiTI+dfrr+yx5X/5f6j//mE7aVhoeT+y3YQWKs6FB15/cnrT/0BpD3C5ChJ3v/k/pvXn7z+lq2g/ufD9ggbRV5/2Q4Ca1WHoiOvv3n9zesvt5awOEqS9x95/5H3H/vt/oPfWHVXdLl82WXKUHdd64dQDmu6sMg1+iOHOJdyVtWQdwvGiTuhp5H7yuBsaGSsqiHzNhSHUO5p5Br9kUMKgEs5q2rIuwXHIZR7GrlGf+SQAuBSzqoa8m7BcQjlnkau0R85pAC4lLOqhrxbcBxCuaeRa/RHDikALuWsqiHvFhyHUO5p5Br9kUMKgEs5q2rIuwXHIZR7GrlGf+SQAuBSzqoa8m7BcQjlnkau0R85pAC4lLOqhrxbcBxCuaeRa/RHDikALuWsqiHvFhyHUO5p5Br9kUMKgEs5q2rIuwXHIZR7GrlGf+SQAuBSzqoa8m7BcQjlnkau0R85pAC4lLOqhrxbcBxCuaeRa/RHDikALuWsqiHvFhyHUO5p5Br9kUMKgEs5q2rIuwXHIZR7GrlGf+SQAuBSzqoa8m7BcQjlnkau0R85pAC4lLOqhrxbcBxCuaeRa/RHDikALuWsqiHvFhyHUO5p5Br9kUMKgEs5q2rIuwXHIZR7GrlGf+SQAuBSzqoa8m7BcQjlnkau0R85pAC4lLOqhrxbcBxCuaeRa/RHDikALuWsqiHvFhyHUO5p5Br9kUMKgEs5q2rIuwXHIZR7GrlGf+SQAuBSzqoa8m7BcQjlnkau0R85pAC4lLOqhrxbcBxCuaeRa/RHDikALuWsqiHvFhyHUO5p5Br9kUMKgEs5q2rIuwXHIZR7GrlGf+SQAuBSzqoa8m7BcQjlnkau0R85pAC4lLOqhrxbcBxCuaeRa/RHDikALuWsqiHvFhyHUO5p5Br9kUMKgEs5q2rIuwXHIZR7GrlGf+SQAuBSzqoa8m7BcQjlnkau0R85pAC4lLOqhrxbcBxCuaeRa/RHDikALuWsqiHvFhyHUO5p5Br9kUMKgEs5q2rIuwXHIZR7GrlGf+SQAuBSzqoa8m7BcQjlnkau0R85pAC4lLOqhrxbcBxCuaeRa/RHDikALuWsqiHvFhyHUO5p5Br9kUMKgEs5q2rIuwXHIZR7GrlGf+SQAuBSzqoa8m7BcQjlnkau0R85pAC4lLOqhrxbcBxCuaeRa/RHDikALuWsqiHvFhyHUBZ6JQ/9V9RwCjdIoTs6TZ6Q5PXj8HJu/pNJrVOItf4EWnsq+BZZ1nf/5uh6qdAdnZb9L82QfuT8y/WX+0/uv+2iIqHuDWVfCNckryvO609e//WPUOT1l9/5cfcYCt3RaXn/UZoh/cj7j7z/KNeTcK2pcyOvP7Enef3tO5D3H3n/kfcf9TKa9195/9UuoO4eU6E7Ou1gvf9031jttvvw5KvmibYEPMXhbnlQJ2incTnHdWBm8UTWly3It4Tty/5ze2Z/CHL+SStcPzhvOjCzeCLXX66/cgvgpwSnT+4/uf+020POD4Lcf6UVrh9cNx2YWTyR+2/uv7n/5vWn7Bnhg9y6h+T1N6+/ef2VZcFLJkHef0grXD+62w6mM4sn8v4j7z/y/mPN+4/6hVVdTLpw4vJp121PitkRAjWvx/qwa735gBDV6Y+qeJ2YAH5HCNS8Husj62sf2lVEEnQMEQ6L1kP0j14CuB0hUPN6rA+Mz/rWJyBE7ZQ/quJ1YgL4HSFQ83qsj+y/9iHnn80TIER0yKIqXicmgNsRAjWvx/rI+ad9yPln8wQIER2yqIrXiQngdoRAzeuxPnL+aR9y/tk8AUJEhyyq4nViArgdIVDzeqyPnH/ah5x/Nk+AENEhi6p4nZgAbkcI1Lwe6yPnn/Yh55/NEyBEdMiiKl4nJoDbEQI1r8f6yPmnfcj5Z/MECBEdsqiK14kJ4HaEQM3rsT5y/mkfcv7ZPAFCRIcsquJ1YgK4HSFQ83qsjzr//h86LSuwsTy9DwAAAABJRU5ErkJggg==" + } + }, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "![image.png](attachment:image.png)" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "192.9365834328922\n" + ] + } + ], + "source": [ + "t_e_typical = 4.1 * (1e7)**(1/2) * (4)**(1/2) * (280/50)**(-1) / 24 # 30 solar mass, days\n", + "# t_e_typical = 4.1 * (1)**(1/2) * (8)**(1/2) * (280/50)**(-1) #earth mass, hours\n", + "print(t_e_typical)" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.002070812716332032" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "4.1 * (1e-6)**(1/2) * (8)**(1/2) * (280/50)**(-1) #earth mass, hours\n" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [], + "source": [ + "nick_tes_30 = pd.read_csv('popsycle_data/nick-t_E-30msun-sep8-nocut.csv', header=None).values.flatten()\n", + "nick_tes_earth = pd.read_csv('popsycle_data/nick-t_E-earthmass-sep8.csv', header=None).values.flatten()\n", + "nick_tes_data = {\n", + " 3e-6: nick_tes_earth, \n", + " 30: nick_tes_30 \n", + "}" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_47349/3285702519.py:8: RuntimeWarning: divide by zero encountered in log10\n", + " diff_rates_interp_log = interp1d(np.log10(t_es), np.log10(dgamma_dt))\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "def plot_histograms(data_structure, nick_tes_data, num_samples=10000, num_bins=24):\n", + "\n", + " for m_pbh, nick_tes in nick_tes_data.items():\n", + " if m_pbh == 3e-6:\n", + " bins = np.logspace(-1, 1, num_bins)\n", + " elif m_pbh == 30:\n", + " bins = np.logspace(2.5, 4.5, num_bins)\n", + "\n", + " plt.figure()\n", + " for entity, entity_data in data_structure.items():\n", + " for finite_val, finite_data in entity_data.items():\n", + " if finite_val:\n", + " continue\n", + " for v_disp, v_disp_data in finite_data.items():\n", + " for p_or_mass, p_or_mass_data in v_disp_data.items():\n", + " if entity != 'pbh' or p_or_mass != m_pbh:\n", + " continue\n", + " # Calculate gamma(t) for each case\n", + " t_es_limited = np.logspace(np.log10(np.min(p_or_mass_data['t_es']))+0.1, np.log10(np.max(p_or_mass_data['t_es']))-0.1, 60)\n", + " gammas = np.array([gamma_of_t(p_or_mass_data['calculated_values'], t, t_es=p_or_mass_data['t_es']) for t in t_es_limited])\n", + " \n", + " # Sample crossing times\n", + " samples = sample_crossing_times(t_es_limited, gammas, num_samples)\n", + " \n", + " # Plot histogram\n", + " bin_counts, bin_edges = np.histogram(samples, bins=bins)\n", + " plt.bar(bin_edges[:-1], bin_counts/np.sum(bin_counts), width=np.diff(bin_edges), align=\"edge\", edgecolor=\"black\", label=f' LensCalcPy', alpha=0.5)\n", + " # plt.axvline(np.mean(samples), linestyle=\"--\", alpha=0.5)\n", + "\n", + " # Plotting for Popsycle data\n", + " bin_counts_popsycle, bin_edges_popsycle = np.histogram(nick_tes*24, bins=bins)\n", + " plt.bar(bin_edges_popsycle[:-1], bin_counts_popsycle/np.sum(bin_counts_popsycle), width=np.diff(bin_edges_popsycle), align=\"edge\", edgecolor=\"black\", label=r\"PopSyCLE\", alpha=0.5)\n", + " # plt.axvline(np.mean(nick_tes*24), color='orange', linestyle=\"--\", alpha=0.5)\n", + "\n", + " plt.xscale('log')\n", + " plt.xlabel(r\"$t_E$ [hour]\")\n", + " plt.ylabel(\"Normalized Count\")\n", + " plt.title(f\"PBH, M = {m_pbh} $M_\\odot$\")\n", + " plt.legend()\n", + " plt.savefig('draft_figures/pbh_tes_hist.pdf')\n", + " plt.show()\n", + " \n", + "plot_histograms(data_structure, nick_tes_data, num_bins=16)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## FFPs" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [], + "source": [ + "nick_ffp_df = pd.read_csv('popsycle_data/nick-t_E-Lmass-ffp-06-combined.csv', header=None)\n", + "nick_ffp_tes = nick_ffp_df[0].values\n", + "nick_ffp_masses = nick_ffp_df[1].values\n", + "# nick_ffp_tes_sampled_066 = 10**(pd.read_csv('popsycle_data/p066-logtE-sampled.csv', header=None).values.flatten())\n", + "# nick_ffp_tes_sampled_100 = 10**(pd.read_csv('popsycle_data/p100-logtE-sampled.csv', header=None).values.flatten())\n", + "# nick_ffp_tes_sampled_133 = 10**(pd.read_csv('popsycle_data/p133-logtE-sampled.csv', header=None).values.flatten())\n", + "nick_ffp_tes_sampled_066 = 10**(pd.read_csv('popsycle_data/lower1e-12-p066-logtE-sampled.csv', header=None).values.flatten())\n", + "nick_ffp_tes_sampled_100 = 10**(pd.read_csv('popsycle_data/lower1e-12-p100-logtE-sampled.csv', header=None).values.flatten())\n", + "nick_ffp_tes_sampled_133 = 10**(pd.read_csv('popsycle_data/lower1e-12-p133-logtE-sampled.csv', header=None).values.flatten())\n", + "\n", + "nick_ffp_tes_data = {\n", + " 0.66: nick_ffp_tes_sampled_066,\n", + " 1.0: nick_ffp_tes_sampled_100,\n", + " 1.33: nick_ffp_tes_sampled_133\n", + "}" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_60760/3285702519.py:8: RuntimeWarning: divide by zero encountered in log10\n", + " diff_rates_interp_log = interp1d(np.log10(t_es), np.log10(dgamma_dt))\n" + ] + }, + { + "data": { + "image/png": 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", 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#With extended mass function, but cuts on t_duration at low and high\n", + "def plot_ffp_histograms(data_structure, nick_ffp_tes_data, num_samples=10000, num_bins=20):\n", + " # bins = np.logspace(-2.5, 2, num_bins)\n", + " bins = np.logspace(-2, 2, num_bins)\n", + "\n", + "\n", + " for p_val, nick_ffp_tes_sampled in nick_ffp_tes_data.items():\n", + " plt.figure()\n", + " for entity, entity_data in data_structure.items():\n", + " for finite_val, finite_data in entity_data.items():\n", + " if finite_val:\n", + " continue\n", + " for v_disp, v_disp_data in finite_data.items():\n", + " for p_or_mass, p_or_mass_data in v_disp_data.items():\n", + " if entity != 'ffp' or p_or_mass != p_val:\n", + " continue\n", + "\n", + " # Calculate gamma(t) for each case\n", + " t_es_limited = np.logspace(np.log10(np.min(p_or_mass_data['t_es']))+0.1, np.log10(np.max(p_or_mass_data['t_es']))-0.1, 60)\n", + " gammas = np.array([gamma_of_t(p_or_mass_data['calculated_values'], t, t_es=p_or_mass_data['t_es']) for t in t_es_limited])\n", + " \n", + " # Sample crossing times\n", + " samples = sample_crossing_times(t_es_limited, gammas, num_samples)\n", + " \n", + " # Plot histogram\n", + " bin_counts, bin_edges = np.histogram(samples, bins=bins)\n", + " plt.bar(bin_edges[:-1], bin_counts/np.sum(bin_counts), width=np.diff(bin_edges), align=\"edge\", edgecolor=\"black\", label=f'LensCalcPy', alpha=0.5)\n", + " # plt.axvline(np.median(samples), linestyle=\"--\", alpha=0.5)\n", + " # plt.title(\"Unbound Exoplanet Yield\")\n", + " \n", + " # Plotting for Popsycle data\n", + " bin_counts_popsycle_sampled, bin_edges_popsycle_sampled = np.histogram(nick_ffp_tes_sampled, bins=bins)\n", + " plt.bar(bin_edges_popsycle_sampled[:-1], bin_counts_popsycle_sampled/np.sum(bin_counts_popsycle_sampled), width=np.diff(bin_edges_popsycle_sampled), align=\"edge\", edgecolor=\"black\", label=r\"PopSyCLE\", alpha=0.5)\n", + " # plt.axvline(np.median(nick_ffp_tes_sampled), color='orange', linestyle=\"--\", alpha=0.5)\n", + "\n", + " plt.xscale('log')\n", + " plt.xlabel(r\"$t_E$ [hour]\")\n", + " plt.ylabel(\"Normalized Count\")\n", + " plt.legend()\n", + " # plt.savefig('draft_figures/ffp_tes_hist.pdf')\n", + " plt.show()\n", + "\n", + "plot_ffp_histograms(data_structure, nick_ffp_tes_data, num_bins=16)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "metadata": {}, + "outputs": [], + "source": [ + "#px, py, pz, vx, vy, vz\n", + "stars = np.load('popsycle_data/star.npy')\n", + "ffps = np.load('popsycle_data/ffp.npy')\n", + "ffps_smaller_r = np.load('popsycle_data/ffp_smaller_r.npy')" + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(-800.0, 600.0)" + ] + }, + "execution_count": 46, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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x9hntVwIgoUsQBNGXkxz+PIm200TAUcXUsP4dZ3Z+vzZHKaYwyRn2feFGa2PYsXveSh6fFvF9RtYEYhgkdAmCIPpwkhG3o05sGqXdUT4bpZ2jbPtxh+vPOlKXU0QIPD8R28Ekzp9JCLlpFYPkwyVGgYQuQRDPBGf1MDtpUTWMcfywk2ZS235aGQgmxahie5D9oV9b4xyz4wo5zXKnWgwedwSBeD4goUsQxLnnrB/WZ1l6dRJ+2JOspjXKMqNmIJjUOk+LfiK336S6cc/j47wUsHUBOPcvFsfhtCb8Ec8uJHQJgjj3nGUU8CxLrzKO64c9if6P0+4kjt1pRiePO9Gt36S600y3Fl/XtIrcUXgWRhCIk4WELkEQzwRn9aA6y9KrjGQWhfhvR20fwEipu0Zl1H6zqOJxOM3o5HGqnzEGTaobNZ+uZrnwfP9YGSCG2SoGfXaSnPb6SOQ+35DQJQiCGMKoguG47fcTIUx4HSei2TJsSNzxxe44QntSJYD7RScndQyO6yHuZ88YtX/9fi/wPARh+MS44/TztIf2R8lhTBCThIQuQRDEmJyEP7Zfm0mRd9RMCMWMDCcIo42j9mfUPvb7nWYdrwTwsEldoxaYGLaOQR7iUfqedlzGOUf6HddJ2w4mmX5ukn1gkJ+WOAlI6BIEQYzJSfhjB7WZFCZHIaeIY4ncYaJ7lN8llx9HwOy0zYHD9qMWmBjGpIRXmkgdR0CeptA86XUP21/91ndSKfeI5xsSugRBEEfguCmojtrmaTCq6B7ld3GRO04UXBV4aE56VJm1EffCHlfs9vv8ONHO83I8J8FxRyZG5bgp9wgiCQldgiCIE+SoqaHOmlEFR1rUt19745RuFQQeRVU+ZAfwPB+e70eWBSZyJ13mON6XZ4GTPGdG3b+a5Z6KFWKS+XPPw7VGnCwkdAmCIM4RSVFxXh/ER8kKMI74SfOnMgFsun6PZeGo4mpSkcFRBOBx2xj0m5MU+sBokwp32mbUh5MSueNMhBzVT562zElcc+f1On4eIKFLEAQxAqf1oIqLtvM8RDtKVoCT6DfzGvezSIyz/kl4QkfJIjCu4BrZ3hETlkcR+nFxOmxd8ReLNGFYzcoDxfBxz4VR+8oYZZ8cdxLhqEz6heo83g/OMyR0CYIghnDagpM9eM97svtBWQFOap/Fo7jDlhtl/Uf1hI4aTR5XcI3T73i7SZ/yqOJ1lPRvw/rHvu832fG458I4fU32e5xlTsp6MYk241lGzuvL73mFhC5BEMQQzkpwpg0DT+IBdxoPyVH22bhDxuNEPifp40zLHpHMLjHs96OsY5x+J9uN92kUYTlMnMaJn4f9+jdu5HQcxunrUUlGyCdN8lgd5fdsH5znl9/zCBcEQXBWK3/vvffw4MED3L59G/V6HW+++SZ+9KMfpS5769YtfPDBB7h+/ToajQYA4Ac/+MGxl03SarVQKpXQbDZRLBbH3iaCIKaLcR98bPnjPjDZgzdNYB3nQRdvAzj+ZKvkdo6y3exBH9+WUbctvn8nuS+O4u89ynlxksTXMan1TWI/PyucxjHaaZuoZuXnYn+eNKPqtTPby2+//Ta+//3v43vf+x4AoNFo4Nvf/jZmZmbw8OFDlMvlaNmbN2/ipz/9Kd5///3os1u3buGtt97CBx980NPuOMsSBEEMYtwoT3x4kXkajxPFSv5+EgI6PsTN+nrUSFly/yS3O014xYVT2tD7qNHRSe6L0xC5Jz1RC5hMvuW0Nk96gtl5EXyn8SLCLBgnGZ0mejmTiO7NmzexsrKCGzdu9HzeaDQwMzODN998MxKljUYD165dOyR+AeCNN944JJZHXbYfFNEliMlxnh5iR+WsIrqnwSSiS0kByx7iychxPCp4FHHdL1p5Evu5X5tpkejjtnnU/sXp19fzfv49T9FixrNwXJ4VRtVrZ+LR/c1vfnNI5AJAuVzG9773Pdy6dSuyHPzsZz/DysrKIeEKAN/5znfw7rvvRv8fZ1mCIE6W85wxYBzGfSjFI47nnUn4/ZLeTSZg477M5GSmcauZaVaYyizpPz3NGfLscwBHLsM8qf55no+WaaNl2tF+iX8/aPLcUdd5EpyV9/0seZ629bxwJkL3vffew1tvvZX63RtvvAEA+PDDDwEA77//PiqVSuqyKysruH37diSKx1mWIIiTZRoeYs+6SB+FSc8u7/f/QZOZRtrPAaDZbl8BPQkGzbpnn8e3ZRLrG5ecclBMQ+B5CPxBerd+YnyUF4J+38Vn+Z/E9fAs3x/SeB7uGc8aZyJ0v/71r/f9jglRJlg//PBDrKyspC7LPl9dXR17WYIgTp5n+SE2LRHp45C27ZPYH3Gf8KD9zMRVThFhev4h/y9raxTGyegwqM1xCmSMur5hyyVh/atm5UPfxV8C4ssPeiEYFMWuZmWsNQwAOFHBexKc1Pk7aH1ndc94Vo7JWXAmQveDDz7oOzHswYMHABBZGxqNRqoVIQ4Tr+MsSxAEMYhpiEgflUHD3+M8yPstl2yHRUqTy7Byv5rlYr6gYq1h9PiBx+nHqOm24iI6FW6kVQ5l0Pk1yktA8vfxaG6/9Y3bl5wSVkS7XM4AQI/f+ijR4dNk2Pk7bh9HWf6s7hn0Uj6Yc5dH97333hs6YYzBRG29Xp/oskBoco7/sSxrpN8RxFlAN7iTYViaq0H/P6+MGtkEDntRx3mQD/KJxm0AqshDsw/nx2VD9GxofqdtYrmgYKdtpvYtvo60yVrDIppsOdZvtp5kO6w/k4psJ/uQjCwPK0YR//dxc9Wmfi73WkVG2ZdJ3/C4TGrf9jt/geFiPdmfUZef1LkxDs/LS7llWYe02SicK6H79ttvY2VlpW8u3dPk0qVLKJVK0Z933nnnrLtEEKk872/zZzVMmBRm8UjReT0Wo54racPfo7bP6Bdx3GmbkYiLT2BLq7wV78N8QUXDcpGTRXje4QgwEPpJ41HgOPF+DIry5RQRaw2j74S5o0SUB+2nZB+S+22cY9BvG49KvyjxIJGr2S4wZi6neH+P4ydOfp/Wz6N4u4/7gndSJK+3k1rnebmfvfPOOz267NKlSyP97twI3du3b+O9997DBx98MNR+wEj6eSe1LACsr6+j2WxGf374wx+O9DuCOG2el7f5NM5C5PcTIyxS5Pl+j49z0kO8g+wAw4j3s18bnj/4+0F+2rTSsPF/13QbqsD3CNGkoGPLpZ3PLKODZqevv5qVYXp+zwStOEkhnLROMCF+uZyJbBJp62G/GXbNpZ0D/fZTfJuPcy1rlouWcTgbw1Hod2/pd/w9zw/ThXmj34/YOceumWGWjkERd7bMpEo/H2X507ofD3rZPsn1nCU//OEPe3TZ+vr6SL87N0L329/+Nv7pn/6p72Sy06ZYLPb8URTlrLtEEH15HkUucPoiPxl5S/aFDW0LwsHw9jBh+LCmHWn9o3zej4HLxqJxSYE2aH+PIormC2qPHSENzXKhCr1CJikYB61/vqD2FUmqwEdCGIi9lMSzOcgHvtS0/RwJ5RSxfWh9XUGWLBeclnVi3JRrg4jbDY7dVsrxTDt/4laT6IVkxJev+DWTts74egGgptsDI+5n/eJ/Guvu97I96XWfh/3JUBTlkDYbhXMhdN966y28++67qbl1V1ZW+k4gY35bJo7HWZYgiOngNG/A/URKcplRHj5siDzuOz3K+oetJ9nHNEtBnDSR3k/g97MHxL9Pi14OOmaa7WJXs6AKvetmghFAJFTTtq3fdgMAuFAExl9K4tkcgPAloJ9QZGLOdP2hwjTNlhH/btAxOQ6sj/0Kchx3hGHQqED82I778jXwnEi8ZA3L/3weRFkak46Kpp2fJ8F53Z+jcuZC9/vf/z7efvttvPnmm6nf37hxo2/uWyZqmUAeZ1mCIIijkBR6o8zm78e1ag4Nyx2rSti4D/dBloI0MRtfhg2n9xP442QyGIV4H9jwdzzSGm8rLVo6bLuTkeQ00ZT0J6eJ+aSneND2p0X/h9k80rZlVOLrGzXyn3yZGdY+MHwy16jHfth648c4eeySfTouo75wHoXktUacHmcqdH/84x/j29/+9iGRu7q6ilu3bgEIo739orQPHjzo+e04yxIEMb2c1oPkuJE4bUyRexQGRaHj3yUjdcnh9LToERPCRxX6ceLe16ws9H5nHxbh/aKladudFPFpy0ZCJGZJGCTChllT2O9bhp0qlgdF1ZNtjCqQ+kXh4+tN+p97Xi6GnMvjLMvWN4xBlhd2Dqb1OW2bj8NO20RZEU9M7Mavr/PieX1eODOhe/PmTdy4cSNVfN6+fTuyGPz93/896vV6qoC9efMmvv/970f/H2dZgiCmk9OePHEckXta/RwUiU32n/mGh9k0mAh5WNOOvR1x7ysA7LXtyKfbT+wk/ZyDxOgoLyRMBA7z0yZ/M9AyYh8Wz8n+J6PS/UQxMLxgQ/LFpabbvf1J8QInf5NcflD7ozLs3OgX8QbQU1Y6/t2ox2hUWFaPk3zx7Dc6QpwsXBAEYyYCOT63b9/G22+/jW9/+9s9nzPbwU9/+lN89NFH0ec3b97ET3/6U7z//vs9n7377ruHCk+Ms2warVYLpVIJzWZzZKMzQRC9pA3XPk/rH5V+/Txu/4cNiQ9q/2FNw3JBiVJ5JW0ONd2OxMDDmobL5UzPZ8fts2a7kDjgadvGK/P5kcrusr6lRUk9v38WhrR2PM/vmRg1rL+DlmPRwfjkrLSXDrb/0rYjbZ2DlunZFt8HAvRsz7Bzi30/rC+jEm8HGO3FULPCNGXx8y+tj8Tzzah67UyE7szMTF8vLRBOGGMV0hi3bt3CBx98gOvXr0e//cEPfpD6+3GWTUJClyCOx6QekM8DaWJpnP0XFyVxIeN5PjTHRU4SB4q2+Pp32iZycreNrshoGTaKGbkn+ljNyjDdMOsAi7T2E3KD+tzv/2w9rC+DfK6a7aauOy4gVaE3C8Yw4TTqNrB9XFTl1OXZUDiLEjLhmRTdw/ZH2jmy0zYHvljEz4vkb4dtV/zcG3e/9IMdz5EF+oDz9zyK3EF9Oo/9nRbOtdA9z5DQJYjjQzf34RG/KItAIuLGfjvqJB6WaikeMRsUEYuLIM/zAQ6o6Q7KioC64WAur0Dgeex0LJQVAU6A1HRRyUgk+2xY9odRIpjJKGA8ysrW1TJCm0G8f/22M769afv6KC9mO22zR0T3Wya+70aNFsf7lozKjhL17SdWR11nPyvBUV5ejxrRZUziWI3DcV8ORv2OOD6j6rUzz7pAEMT0cRY39VEm65z0+uP/HpS0n3klTTdd+IwziYdNyAJ6J7lUszJ2Or2ly+P+xpxykPf0WjUHJwAWi5koddflcgYNy+sRasw3GV93JMZwUHih334BEFUd22mbff2Kyc+ZxzXeh2JG7ityk21FbXD992NcRA/ahkgIyeIh8Z38TbxvbH8PsiSk9S0tx+ywSYBpVebGWWfaZ0cVa+y3LFfxqL9J8wGftL817hUf5V4yzP8dP1ajtEWcDCR0CYJ45hn3ATWonaMslyYoBiXtjx6OiYjruH2Pi5/4Azen9OboTZu4wx7SrI14oQW23LVq7tBvmejs2a7YuGD8GMT3CztG1azUU2I3LQo2aDvj+7SfyE2b4OX5/sDsE2nHkPU7mckgntO33+/6FVVIbmu/38d/k+wze1FIVgiL9yttfw3r3yCO5dO1XUiYTPquQQJ/Em0PK2jCSL409ltmlEIgRzkew9ojDiChSxDEM884D6h+RN7AMR5KSRGY7M+waGM/UXhU4ts+nz+YUJacpd5vXcl9kNxWzXZRVsSeam7xSKVmuz2iNym+4xHkftFflvUhLiKSFaAGiVLmI7670+mxcagCf2jZtNn7jLhoTKZgmy+oA3MMjxJ5jEen4y8QyX6lieV4H5joZaKqX3aKtDaG9W9S5GQRpu9HvuvjMGlRmIQd02HtD9uHw6K947Q1Die9f55FSOgSxJTzvNzw0oY6xyZlaJuRJoiSD5RBabtS6SMKjwt72LGI8VhCjAsjcHE7QjyP7UbbOlQelwmDalaOCj0MiswCOEi9lWiHld9lqbGSUbE0AcEE+lbTgCryuLvTwYvVbCSYc7IY2RyiaK/tpu4DVeRxZ7MFVeB7xGzatjLBnIy4DorypR2D0A8tRnaOuDVhUGSYid1+qbiGrZ/1NwmLgB91hCNtXclJe/EXxXEjyydhX0i+NI3y0tvPhjJKtHeUto7CSds7nkVI6BLEFENv96PD/JD9Hl5JEZsWaRznAROPhMY/mwRpfUtbBjg8TC7woTCMi3AWIa1mZcznlcG+WvlAoD2saakRYhZ1TfMvRkUgupFoIN1zeki4ez7mun17famIhuVGkeOcIkZ+4mpWjqwTrE9xcbrWMFBSeOxq1sAIZFpu25222WOhidtG+qFZLi6XM9hoWz19ZL8bmv83dqwGRRfTSLN4RMumTFPvJ4pHucckRa7n+/A8f2B1u1HamgSp2zDgpXdYO8BoBTVOivMics/Lc4eELkFMMfR2P5h+kbJ+w8Vp4o7BonHj0C/yOc4Dot+yowy/JiN3cSEvCAcTz2p6mNM2LcKZhD3ow2F1qadYQnzYfVj0cVAkOm3b5wsqTO+gTfZ3sq/MexxldPB9bLYMeL7fTYMlQOB5FFRp8EuP7fb0x/N9qAIP0/OjKLjEhdkh0rypSVF0rZo7tI2Dqrklj1VSSB7qb4pNJf6yERefQHomkDRLxVHuMeyFitl7BhUmOQ3SXgyPYoNKWnWeZ85TkIWELkFMOef9htsTRerz/UnQL5I0bLg4rV+DyocO27a0iNqwB0R8eSZU07aj33c9BL3LxyOwrB+jCFOg90E/X1Ah8HxPHl62TPzvfvuE7ctDYtzunRAW3xdxO0G/dpP9MF0f83kFNd2BKvBQxW6WgwHRXOaNZVHguHDLySKqWTmySwjdNge9PKW9QMUtDP22Jc0mkzzug17S4se0Zxv69CmyWiT2fb8+ppEcFUmzfowikCZ9X0i+GI6zTcl2iNP3gQ+ChC5BEBNnHG9fUlwlvz+JqEAymhVn1Bt0vF/9yocO8/rF1zXqsOchcWy7kfh7WNN61xX0emHT+hEXNvF0Z6PYH+J9im9T/N9pkeVBx5MJPFXkw33XneCm2W7PcUtGApOR0GFRebYfc7J4MEHO8yPrxqCXoHhGjfh+Te63+YJ6yAaS7NOgfdpvxv7QczTofSHot1w/gZ3WF/b9INtJfPlRXiLTljvK9Tcq47x0TmqdzzMncQyPAgldgiAmyjg3sGQUKe37k7BeJKNZad8zRhUafaOdQ7x+8ahWPMKXHH7ut+6cLCInh97SsiKgZdpRe8x+kCYA40Pw7P/Mt5rcD0cRCP3ETL8h8DgsGhwNbXt+1Dfm303rR5pAT25P2pB7TgkzScS3f1h+X9ZWy7DRMntzJifF/jhFIuLbkpbfd1AUNb6+eFaG44iJZIQ4WQ2vXx/67b+4QB603CCOcl8Ydl8a1uZJ3YtGZdoE9mnuTxK6BEFMlHFvYMP8bEe5EU5qiHGQKBslwsmE/CiRjXjkLb7eYX1gBR5Y0YeiGptk1U0HFveTxkVGcgg+nuaKkZavNdkHliEhbb8lBVtc7MS3PS0Cy/oaT+cVj1SyyUxpQ/lp+6vfkH9oPRGw1jAADPbGpokygU9PbddPlI7y4sDOh0HnQr/fx/fbRMREbLJb2gtiv5fBtL4lhfdR+zbsZTRt+aET+4a82B13Px5VrI4TPHiWBPFpvTSQ0CUIYuKMEgk8KSY5JJZmLRjFOxgXhqNEp5KRt2TkMN6HpNUjbk1gAsTzfLQMGzlZ7LFUpNkIkhXI4l5jNkwdL/CQFL6aFeaoTaajSorq+O/i4rqm21AFPopEszbj+5MJpHh/crIIzTnIjxtfH1tXPB9vfL8eOgayiLrhYD6vjPWixkRuvNjGoGH5QZ/H20x7ARkWre7X9nHFRDIinSbaxxnBmWQKvaOsf5R2T8ou1a/dYesadb8dZx3TDAldgiBOhLPytE16SGzYMGva8mlDxoP2Q7yM77A+xK0e8aHknn566dXD4seETaDryYrQFcbxFGE13e7JUqCK/KHKZqwQRHwdcVg/1xrGoSgjsybkJDHy4caHypM5YtcaRpjH13ZRVA/y9saFZjUr4/ZGsycfb/wYpHmW53LKof097rnbL5IdZ5TzKM1/PErfktaAfn2cJMntGUW0HbdPmnXgfT+J6/0otohRtjvt2Ix6nxz1xWtSlfDOmkn2lYQuQRAnwll62k5qnaMICBZZTZv4lBbdi/+dFHj9xExSfCeHkpnHNa2/8YlSLNrL1smKRETe3VhGhqitAN0sBYcf2oMm0zGB+rCmHRp2jvtwdzpWNJkqGc3UrDDnbCS07fQJW2sNA19dLESR33i+VtY/AD1iKemjHZbfNXmc4qIrfqxGHdbvt8yg1GSp0WKhfznhowieUX4z7Dwft/2Rfh/zvk/6eh9X5A6aUBtfLu1cTbtPHkX4x9tLcpb34qMwaWFOQpcgiBPjWbmxxjnKzTVuV0gWNEgTQGm/YQIPGC81D7MFpPU9HmlKi7QykRsXtiyjABOfqsinTnCLl55NVhpL9snzfVQzEu7udLBcUHqsEWwfMB/u5XIGNcPpiRgn9yOLMPd7oWDlj1luWnDoyZQQ0UcsMcGY9B4njx3QWzmObVdc/I5SYSvZNqNf2rqB50dsm5KC4SiCZ1wrx3HbT7489PvNccp9TxLWl/goSr/lBk2SZIwr8iYZET4vTFqYk9AlCILoctRIQjyyOiiSmyY64gIvXj43zfPJ/k6zIDysaT0RYc/zw2wAIwzxMhHORGy0XUwcxrIcMCEb2TNsN/o3Y6dtQsJBNJLZLVjFsrQqZVrXMhEXsmn7Mbl/4vumJwIs99o94lFhJsyTYqlHXHUFY9KPnFwPgGg70vzCo1TYSr6MsP+zqHtalom0aDHb1vj/04pujEJ8X4wrXPu1N8pv4i+Fw7zMw9qdBKPYEgCMZFUapc/jirxJisLzZG2YpDAnoUs8V5ynC5k4e0YZRhyXtIc2E1n9REe87G080suiofHIZ9IeEFkQ8kpPRFgQeBRVORqST8unGq2rY4WRw451qDQryzOb/G08fVUyr2xOFmH6MXuA3ZsJIL5vkv5f5tNNkjYpkO2f+ES25DLxz9j/4yWA4/uCle8FEE0yY9uYnISXtI/kZCEStfHvhkUek6MAyfy8LKdvMqo7KPI5qJjEKPfAZCnj4zLoBbKfIBx1VOMkvaej2hIGRaXZ/8fp87j3n0mJ3GfNxzsqJHSJ54ZpvpCJ8el3PhwlUjTo3EoK20HtMhEbj5YyO0F8Ile83Yc1LZr1n5wdz/48rGnREHjSz8fEJhvqZ0Uj4tHpfv2Op/0CQoHUMsPh/ijNWTczQprXNNnXeAYGJl7j4j5pAwl/4xw6FmnCw/P9KOdtNSuF/t2YLYDtv3j0l20jewmJi974+phXODWjwxChljaZMCm609bbL/LZTyCmibZ+wrOalQ+KZ0xARA3q0yhR23HbPQ7J62NQnu9kX9L6NYp9ZNxn0kk8w05iX54XSOgSzw3P+oU8LQL9vGzHoIfvKC9FyaHdQQ+vnlRcAwRxfNidCVtB6EZcZQEPaxqAA2HzsKZhMStFn/fr5+VyBhttK7XiV1zQsf6ltZHWb5bua6dtdiOrDjwvwKO6HvWT+RcHDe3Gh+ojsSl3c+bGvLLxPrRMO1x/RuqpnJa0OLBtZOWIBZ6H6frRxDiJQ4/YTUZ/AUQe3LjYZcu0DDvKTtGvolo/4vaV5Odx0d2v+MOwkYJDbcZEW7/JdvE+HeVeOY5ojYv1ozJpkZt2fRxlHYci/n2Oz7gBmJMM2Dyrz8ZhkNAlniue1Qt5WqLR5207+kWYgOFleJPRseTDiw37xicUsahlv3aZyGqZNsqyEAmwakbCk5YJVeR6+natmsOW7iAnCz3rTLZpun5obcCBHze5XBTl65YUTorG5P6Il4LVbC8UkqqEzY6NkiLgUV0PLQvdym3JIfm0Igg9grcrduN2gJ6iEQKP3Y4dCkKBj6wIbJl+VoO41WI+r4S+aPkg8ps8tsmoazKKHZ+8d5SX6UHnQvy74xZ/YMeR/XtQGd9B0cZhL3/DMlWk/fu494RJ3U+OcvxGWfeg9sZd57MesDkLSOgSxDPAs3BzG/WGf1bbMW7/0vqYjBAOHNLs+mXnCyru1fSeCViDxENOEVFUZTRsLxJggsBjoaj2TLCKlpeFyF/L1nmo33YonrdaBh7VdWy2jCgiytbv+X4YiQ1604TF+xXvb1zkFkQOn263oQo8KqqIvY4ViXLN7grwmHiOtx2P6m21DGw1jeilgH0XLxahWeFktqdtGy9Ws5GYjqK+wkFRivhEt/i64raOoir3DDED6JlFn4y6xo8hi7zGI7JxMXlUxomKDvKDJpdJerzTyvgO8pOOYjXod333e7k57j2h3wveURlX5E7ixX3cbT/Pz4HzCAldgnhGGPfmdppR03Fu+GclcgflsY2TFuVNa2PQkCYTQCyy+GI1G+WPTbM4sAd13IJQzUgHWRNst29uXFbk4Vo1lyq8ma1gbd9A23TguC46hovdjh3lXNVsF7sdCxIfwPSCHoEbFyfx6CgTSvN5BZttGy/P5WB6PniBRymnYLGY6bUgJASuZvcm/ddsF54boGU5aJlOT3SXeWTj++71pWJkx9hqhhkPNNuNIsBp2RtY39OsG8ljkxTIbB8kl4u3x/YRi8qPcw0OEpOD2on3p995Hj9eaS9yg87x5LYOE6WDrol+EzNHuScM3JfBCMucAP2uZ+J8QUKXIKYQzRo/f+dxGPYAPOubf78H0ig+XBYJO8oQI3AQ0b1czvQMH0fr6E44e1TXe/y2LGtCVEghJWtCPDMCW2d8eyIfpu3h8kwGpawS/snJWCyqUToxVeBhugGyYtiO5/dOhAJCT2zczxrfzpW5PAQ+XE9ZFqCK3EFp4m4Fs7hIbxk22oYDzXGjymw5WUQ5L6OcVTCfV3oqtrH1s8+YoFRFDjsdC5WshPWm2Y3sOtFEvkHRzUEvOcljnbQzJC0cLDNGy7RhOy4e1XWoPH9oG/oxKMI5ynk6SIgmrTX97Dr9oquHXqyO8aI6qN1+JCPAaW1G53FKdoqTZtx7ylkzrG/nue9HhYQuQUwrI+TvnCSDRO64ky1OgrQH9qBhVrZMfBLQUYalNcvFK/P5aJZ/8js2w/31pSK2dAfzeQWedxBR7TcRKc1nGd/XbPjedH0sFTMoqjLm8wqqGQmqyEU5X1kU9GolC1kWMJ9XougpgMj7KvA8nOBg0prn+XhY03oispfLGTzt2KEdQBZDwddNXxZFRW0Xu5qNrCzgSdOKrAZsm1kUNp5lQLNdtE0nSnvGJr5tNy3kZAFP2zYqWbEno4Ln+6FFw+iNrPY77mlR0Pi/06wqBy8SbpSGTeB5XK1k4eBgX/U7L4b1adh3aYwrvI4SXT0tklaXQdHi5LV61PUdh7O0Zo3CKB7q8y7UjwIJXYKYQtiD+TzccMe5+Y9yo51kxGYUz+Oo5XyZ6EsTTOEDWOr5Ph5BY17JeCWvnY4VrSeeVizebtJnydbF0l3VdDuaJMX6z2bzC92hfs/3sd7oWhJkMTp3WLssopvMO7urWXDcMOvAw5oWeWIvlbpeVttFJSPh810NywUlLGjh+WibDioZCU9aFpZyMnY1K2qPWSmYuI8ijbKIgirB9ILIwrFvuMgq4YS0SyUVCBAJTTbxzrC96IUvud+TxzxtBCQpRpMikr1IMJ/vfEFFMXPw70GWmWT0cdD5ddSh/VGvvWGi/6xg5/Mgm1Cc5ETBcTgrv+1pMux8OO9C/aiQ0CWIKeU83axGtTQMi7b1K4k6StRsnL4Ou9nHPZFAKHILIocHe53UPKXMpxovFRu3RKRF9y6XM6jpdjjJrEsyO0HcOxovx+v5fpSeLL4vWPSRDe23DSdMscUH2GoaUcSUtet1SwADvblcc0ooPAuKhLrhopqVuum1hJ6RBMv18dpCISpoIQg8FosZyJKAKzMZCCKHgiohJ4uYyymoGc4hMcmKTdR1N7J/aLaLF2Yy2DdcXCqFpYqLGblH1As8jyuVbFQpLL7fDwnPmLc3ub/6vVjFXzTShuSZoE4rIzwo+sjaHYdR7BjjtDXJyV3Hgb1MjPpyy5bvZ1kZxCjX/XnYJ8dl3JeeaYCELkEQR+Y4N/5BE2f6LRdVAUsRcIMqR41Lv+Hf+FBqXDRdq+bQdgNcn81Hw9vJfjEfLYuyxoUjm7iUjCLvdmwsZiXc2WxFvwUORJtmhRHVrZYBiQsFW2Q5yEipAnq+oIY2CllEVhawUFAhiSIWS5mefLfM+5iWy5UVqRAEHpXsgVAP88k6kaDPKkLkU43bMXKyiGpWjiLHOUVEzXAOhGxXZO9qYVT3YU3Di9VsZP/IySIcAF9aKkVZD5K2ErYPo/a7+z0ZnY9bPHqOu+0eytow6DyJw479w5oWvnikRIsHpQuLR/NHYeKRuD7ZO47DUa/DcewIg16UR9mfyZfOo7QxjGkQy88aJHQJgjgSx73xD3s4x6OW8eXSkuv3S6Z/3Ic/ay85WxzAIX8ssx3EvY6sX6wNVeR7hudN14dme6FPNSZu2Hpfmc/jN09bkf+U+WojkdyxAA4oqFLkn50vqD2lf5PbwookaLaLYkYGz/NR35mYje/DXCyCPl9QcXeng+WCEn2m2164LlnEbreEsCqGRRkEPowutw0Hux0ryrQQ7dNuyeOHNS2KYEd95sLUaTXdgW57UWaJeIqsNDtB/CUgXtghzWft+X5UkCJ+Xu20TUgcoIpctD8Gnefx79g6QpEsRZXm0kgVuW0TywUl1dM9iKOe52kvmmnZO07ipXYURskfPMzmMeq9IPlSe5Q2Rm3/JDlLMX0ehTwJXYIgjsQkbvzDImLJZP/96PcwHBShia+r3+ee50clbZMP07g4itsG4pHlnnRO3clKLD8rQxU4NCwvmoQF9JYC/tqF4oH/VOiNrqoiB93yonWxfsYFIHtos4lZvu9Dd7rWCtuN/LPxof14jl1WPph5kF+Zz+NX6w0AiDIRMLKygJwkRJFUzfbC6CAHZBUhXKgrsnc6FjzPx1bTQFkRcHenE20DsypkZQGP6xpmMzwe7xvRPo5HWpOR/OTLRfwFJWkrYPs0+fI0X1DhBIgm1bFyvP2GxJMRf1axTbPcKJI/qsBhoxaRX/sEOcqoSvLzUTjuvWKYyB01WjvKetKq8CXbGHW7RxHLkxaGpyWmz9u6B0FClyCII3NSfq5hQ5ajehH7eTLj7fSL4ACA6flRedm4EGSTr1g0khVsYBOoWIow1qZmuVF6rPg2sShufBviE3DYxKu4/zS5/QHX692NV2Rj/9/pWKhmQj/tYjEDSRS7vmEv8s/G86zqlhdtx+VyBr9ab+ByOQMAuL3RxGtzWbQNB3XdjaK5OUU8iCTLoTBeLigwvQCL3awPLP2X5/koKwI+39OwWMqgYXm4VFajbWBWhbru4sbFMj6vmZjJiFEqtvm8Ek26Y55t9mISz7fbzzsb90f3nZgjHxSViFs40s67pKBmtg42MW1coZdWyCHJJMTEqP3qJ9DGtVecBJO0bbDIP9A/y8Owe0q8rWEvEZMWhuwF7qwmlJ3lugdBQpcgiHND/IbfL0o76sOBPbSGldxlUdR4xK5neLxbwpZFcNcaBqqZMIUVAFwuZ3CvpqOalQAAn263UVYE3NlsoWXYkdBU+d40SZrVTcfVtqPoHxOozN7A+hi3DzBPr+f7MN0AS8VMz+QlFi0tK2KsDK+A+3UDr8znu2JbwoO9Dvgg9AGzSWosAplVBHy+q6GakXB3p4Mvz+dxd6cDALixXMK25qKQkVDJhj5fzT6IrHqejwd7HVSzEjbaVk9kMrQ1cBAEHvfrBl6oZMJiGN28uTtd60M1E/729aUiBJ7HpXIGZVkISw13bQCslG+PZztWLpiRlvf37k6n54UjLVI5qDjIIPESt64kPz/q6ELacseJsMYZZh1i/04bLZmUNei4TEpYJV9aGPH7wrB7Clt+lP0Tv//0a2dU4ufEWQrN8yZyARK6BEGcE9Ie3sfx28Wja0nS0jrFqyuFk6rsKDIH4CCSm5Gwq4URUiAUrlcr2W7k18PLszncrx+k2WIVulhe1bjgiX7bHc5nQ+S7sUwLrL9lRcSdzRZUgcda3eh6e7lueV8nKrMLhBHPjbaFSkaEbntomw5eqGSiTAwCz6OgSnCD0G7AItGsCttex0ZJ4bGrWZjLy3jSMnGppEKzXdT0MAcuewEw3QCe58N2POx0LOi2h0pGQk13cK2aOziutoua7kT7+WKpm2Whm5ECCCfQ1XQntBPkleihPZ9X0HaDHh90POrNPktGXdOydDysabiQl3F7oxkdi7TzLi2CGbcnjCJCkmJxUjlMJxFhHdbvtHK9af04KqNGRifBOOvo92IdF7nD8iOPKzgHpaA7LXvINENClyCIE2PcB8yoOTCP+4BNip9DE3CCgywJ0ZB3NxJqej4Wi5nIaxsf3r5WzcEJgNcWCuFwd8z/yf5+WNOiiCxLncWyD7Ah8rluHlgGq652qaRivWnipbkc9g1WqMGD7wWhiASQk7qT9vJKNFFtsZiBE4STuxiXyxmYboDlgoLdjn3gAe5ut+kGUeqvrCSgZoSWg+2miYIUViRjOWvDbeUwn1ewWMpgs2NHuWwBREJaFbjuvvSQk0QUVSm0VXQzMKw3zTDfcEz0M/8wE76RhUQY7i1NZunQLBfVjIQvahpemMlE50A/fzeD2SJYtbhkerk00qLCk8xhmrbcpIROsi+TFlCjjLZMcl2TmDQbz+IxTPyPexz7nX/j7vdpF7lHPYYkdAmCmDiRX3TEMsRs+XGrGo0jNBhpKcqA3iHn5KzzyH/aFaSHvLax8rw5WezJVxtV94r8vAJ020NNdyKxxkRT5MtNyZhwqRyuN9utBHaxpETiNqvw0G0vFA+G01NWl3lNAfQIfNMNq7Hdq+m4UJCj6mU7HQszWRE5KRTFj+o6Kt3ote54yGckPGyElgTmMc7J4f4BQt/xfFbE6l6np0Qx8xoLAh9Gbg0Hmu1huaBEtoiSIoT9kMNjwPIJR2nF2MNfFqMo+KDzQUscZ3Zsv7RUgtP9LB4J70fSp9svEpz8TVLIjTIKcRRYXyZJfBsHrXfQ/we13W+0ZdIME4yjRtCTfw97aRm3j5NoZ5o5zgsLCV2CeA44jeHB+LqY0BulDHH8YTpOBCPtxpeM0vbz+A4aemS/TfuMPfzj0ahkhDguxuK5cpn3tGF5WCxmoogrgChqGY/+JYfSa7qDezUdZVmA7/t4VNPQNh2oAofNthOVGVZFLkofxoolsG1udD24cfEylw/Fsd8t6asKHByfQyEjYatl4kJBxv19AzlZgOf7eFwPo6G/WdtHWRGw1jAioRiKWgFbHRuZrr0h7kFkEejdjgVV4FDNSrhX0/HKfB4AIPBcj5iMsksIHB7WtEP7mO3b5IvVTtvsGRpnf+LHke2HsC+jzdpPitZhAiqtbHP83+N6dgeJ6pMYth7UbvL606zxCk0M6+sk71mDjlFyG47b5jBO8148TRznHCehSxBTziS9e6MQj9aMUoa43wSQUdfDfsNyn6b6b9EbZe5bIavP/5Ofx1OL5WQRG20rGvJny4Zi3+vZF6bnR0P6zLKg2S4kDlFUk21LXKTttE1sNnVcKSm4v28gr0qoZmUYjgfd8TCTCfO2XqvmUFRlPG3b0GwPmu1iq2VgqxWm5mLR3TB/b9j2VsvEvuFCEXm0TQde4CMnC+EkNYHDJ9sd3FguQbM9WG6AC0UFn+x08PJcDnUjjIuWFTEqVpGTRVwuZ5CTe4tFMBtCWREQcAeliF9fKkb5hE0viEolR8fM9rDdMtHUbDR0KyquwY6DKvJoGXb0YrXTsSAhjNSyynItw45EcFzwCnxYqS1e5GNUhnkwk+dn0vfKUrP1W2eaUB8WQT4JxrJaTKjQxGnds+LbMGmPc/zv+OfnMf3Ws8JRz3ESugQx5ZzFJIXkUN+oyzN6hM6IkdecLKKuO1ERgmR78ShzMtLYs0xs3cmysUygqAIf5ZX1fB9+N99utGy3qla5WxksLn5bph0ty/qvOy46poOWYXejqnyU1SEcWvcwm1Wwo7u4MpPBtWoOkiTi1fkCTDeAKvBQRQ47bROP6jokPkBdM/CwG/Vtmw4+3W6HGSDaJjTbRUOzcOuLHQhBKEKblofrs3k0zXC/lFQeNc3Bi7PZKNNEXg1TlL1YzWK9YUaR6Xs1vSf9mekFMN0gStXERO21ag4Ny0NRlaLjp1lhtgWz28+eCKEXZmmw/AClnIxyVkFdd6O0YgCi48jsETlZgANEVoqyImBPs8NUccChyPkgK0K/c+8okcDkC108L3Ja+2zUgPU5vq0nxbgCLBnh7rc94zLqPWvU/o5yD5nUOtPuG/F1pfmSR7V3EUeDhC5BPAc8S14v9qB4WNMGJupPY66bpqrfLHoWWQW6WQ78gyhfMrqTnITC2hF4HjXDQbnrJ63pDrKKEBVuYMUMAPSKq66VgK0/yuUqi9jqOFguh9WwdtomdjUryqiA7iQyQeCQlYQwu0HbDAtMeGHWBlkSwipkno8LBRlNy4frc93JcRxML0BJ4fHZdhuqwGO3Y6NtOcjLPL6o6ZjLyqhkQn9uSQn71zR9FLNyJBiZzeJiMUyxVlJ5PKrraBl26PFlJYlNGxIOqoolxWQ1G1oiJO7AsgEAvMihoEpRlgvNDnP01nUXL82G2RZ2OzZWyupB/t+CGvmQdzoWHtX1SAAz60PD8nClko2i2XGhkXaOpEVgk7BlBy0XFzzx38X/PSxayl4e4v06bkRwVPF+lHYmeZ8ZRXAeJ5/tSa2TnWNp6RH72VmGtTnpSPDzJppJ6BIEcSIMeqAOgj0oLpfDzAZp9oe+4sPzUx8w7HsAUUUuNgkpKYzjXs94G/Fl5vNK5GutZiXU9TBS7Hl+lGOXZTVgXl22vsjG4IZ92GoZWMxJ2Gw7yEoCigqPjZYV+UiZWA4QisfHDT3qpyqEEWJmmyhmZDQsD7M5GcvFMJtCSeHBAdg3XMzmQj/u60tF+JyAS8UslkoZ8N1I3HrDAMDh8X4oZCUO+OhJA2VFiNKFOQGQVyRYToBKNoziOd0sFaEoC+AA3ehqr6Bkom0uH9orrlVzqOnh3zNZBfN5BarAY6tlwHbCSO8r83ncr4fldCtZEX/Y1XCtmuuZyFQzHEh8gJIi4OOtds9316q56ByKC4008TCKBze+fJq3PL6tyaIn40aAk/8epU+DiJ/baesbdeTnPAzBj9rfSY5oJV+G04ifY2n3oGRfRunfJLfhPBy704aELkEQE2dYlGvYTTaeyifNZ9uv7bQHTHy5nbaJ5UIoUotqGK1kE56Ag8hrckZ/PILHUkwVVQlz+TDzwaWSiqwkRCnFrlVz3aIEEjzPx283mvA8H23DifJxshRbdcNFVhYxm5OxUFTh+BxerGYjH63n+2ibTre0boC57IHH93ebLeQksStGwwIRrCjDRsuC7njRNsxmZSAISw7vtE184/IMHAAvz+aQk8MCEXOqiI82mrixXELT9FE3HazMZLDeNEPPreVCFTmUFAGmF0SpzNh+ubPZgsQBvudjq2VGVonk8dItD5WsGO2LnbYZidOa4cB0gyh1WU238fJcDjXdCSu2dfvPji07HrIowgnC7UmeG8koPYumjiIwkudY/CUo6S1Pnpvxl65BQ9qjEBfQyc/Ham/ABNFxhNRZ52xNE5L9GLTcUewao0T7B0Xr+302qk3rOIwi1qcNEroEQUycfjf7cSITfR/obNLTCG2nCY+G5eJaNZcYTpd7JlOxGf2p0b7uhBuWBuxaNReVe2XLsRK2Nd3B53saXppR8dFGK8qPy0RwzXDw8mwOq/tGVGK3oEo9w9S7nbBAgyDwuFrJQuBDpfKbtX28XFHxD3e38Y0LRfzzag2VjAhV4PGkaUHhOZRkHr/daOHVhQIKGQm8wENzPGy1TDysaZjLy7hfD73AMxkR92ttvDqfiybGzeVkOAGwWFSjiLTpBqgbDq5WslhvmtGkqkd1HZVsGIE2vQCVjIT1htkj9lj2iYADdDsU4fHMFC3ThuN4kLggFNIxAaDb4cQ7kQvQ6np5NdvFbsdCWQlTocUzWcTPgX5R+mHEI7CRBSHW/qgRu/h3cSvMOP2YRN5WZr05jmhifRn0/XGZpB3hJNo5ipg9qb4chWFifdogoUsQxIkwyYcA+x0TReOsM/lAig9rM+HDfLUsLyz7XWofDCdV4LCyuw9rGi6XM1H529mcjE3NxpcWClhvmmiZTpQvFgB2Oxa+vBCW2GXR2LggujqTjWwAmu1Cdzx4vo9KRsSnezq+uVLFzx/v480X52B6QU/Bij9st/Fvr1bw+a4GIIzmfrHbQUu3sbrXxr/c3wGPUPgKPI/XlspoWj46lgPe97Hd7kZyu9XVtlomOqaDiirh0+02LhRkrO0beNKycLWSRV13sVTMYC4vw3J9KCIXPUhZkYe9tg3LDZCVBLRMJ7J2AOEEMicIxf58XgmFsefjccPAhYIMnufhcwKWiuFLQTUro6BKcAJE+Y3jNoVI4Cai9GkjA4M8ti3D7knZNk4UuN93o/gy47+blLA6bmRwUF8mIZ5G9cFOIqJ8nHYmHc2epD1hGMkRiX7LTAskdAmCGIuTvgEO8jH289/2a2dY5IkJmcvlTBhlzUjdaKsc2gASfsYwZ64QTbyKZ2OoZsKcsHHfKWtbEkUEXCg0a5qNpuVB4HlcLmdQ6ObWncuH1gLd8sLJVd3hfFatzPN8bLdMyCKHe3s65vIK5vMqdMfDtRkVtzeaoVXC97HTsTCbl/FnVytY69i4MpOB5/vY02y8UMmi5XjgeR7zRQXbHQdzeRnzeQUFVYIqcChnRHxR17FQUKNSw5YTICcLyMoCmraHG8sl/PpJE4rAQQLwu6etqPCE5/vYaIf5aSM7hRBWPpvJiqhkRDxphWWUmWda4sLiFK/M5yEIYeSeZZ+4Us6EZZXLamhd6Ba3YJN+5gvqQT7jjtUT/WcRWNMN+8DEM/usX3QrHoEtZuQeH3K/83OYLz3pVR4kMoaVwz5rf2y/z48r1sbx3k6CSbVzlOORZrE5aeLn1jjn37MMCV3iuWFaLtqz5KRvgMN8jKMOPScjFmmTgeJCpqbbuFRS8Xg/LLN7d6eDksrjcV3v+R2zNcTz0TJ2NQuVTBjRZUPx1ayMtYaBiyUFXACsNQ0UZT6cxJaRwgwAsghV5NA2HDxpWZjLK1Eu2Ic1LbJY1AwHs3kZm80wArzeMHGppKJuhMP6F4sK1htmlGrMdMMUX68tFOD5PnTbQ16VIEki/vJaFXlFwoViFq8uFKPMCrsdG67vY7Wm49X5HHTbQ8d0AA5YKKkoqBICAFcrWdzd6eD1uTw22xYCLkBZDdO76XYYIV7Mybhf03CppKKmOxCEMGdu0/JRN1zcWC6hYXmR9aNheXhlPh9Fd6tZOSx3XM3hScvCjeUSPt/V0LIcOI4X7Wf2ojFfULHRtiILSJSbl9lQbA+a0z2fuuK33ySvpB82p4jRywZ7yWH/Tp67gyLDydRm/TiKED4vHHXYftQ2zts2D5o3MIhkkZjT4rQnv50HSOgSzwXn+cHwLHHSN8Ckj3GQ3zZOMuoaj1gkhUbye6AbKfZ8XJnJRim7LCeIhrvjyxcz8qEhaGZD0G3vIK1Wd0g+JwvISSJML8AbF8vouEA+I0UZInY6FvbaNrY7JkpKmLpsPq+gbjhRRTDNcnG5nMGTpoWXF/KRr/bxvo6LRQU8z8P0AlytZNG0PNR1F77nQ+KDsP2OHWZtEDjk5DCDwlcXC91ctxI028WDvQ4cx4Vp+1AlAfuGi6dtC4rIoa53q8nZHnwvwKN6+EJwv67ha8slfLGrgQOw0Q7FfrFrJ3h5Lo+a4aCakfCorneLegSQ+CAs69ud4FbNhhFl9hLBcsi+vlREw/bw8lwOaw0DL8+FGRSsbuGN+CTCKOVa97z5dLuNxayE3Y7dtaZI0TGL2xvSziWvWyXu0HdOGGXWbDf696GKeH18u+OMRrDfDfpuEsPOTKSdJePcmyd5H59UG0ep6sgmxbLS1qfNKBPRpkXkAgAXBMGEaplMB61WC6VSCc1mE8Vi8ay7Q0yQcSeiEOePtGPIHjYH0VG+p3JZ/Hfxv4He2fhhIYUwwgiEEReJD9A0Q+Gb/D3rR7xIRF13w5RbPB99FgpeB5fLGdzeaOJiUYHnBxCEMOpaVgR8vqchJ4UTqvKqFPlifd9HRZXwtGNDdzy8MJPBFzUNCs+jbdsQOQHFrIxKNuzLXsfGbttEwIUpwIDw7wt5GU87NioZEbrjoaBKYdYHWYAq8Ph8T8NSXkbdcGB5ASQA6y0dqsCjaTqo5lW8vlhE23S6hS4kWF4A1/Gwo9sQORcbTQtvLFfwuGng5fkirlayaJk26rqL3Y6Ja+UMOm4A3/eBAOAFHiVF6FoChMiDzHLiXqseZE/YbBlRkQkAUIWwyly8qEI1K/dMeisrIn613sCL1TCHbs1wkJOFaDkgFMhp/17d6+BiSY28v/HzKH7e7HRC+8WwQglHmQSXdp6PY9npl4YsHrX2usdiUoUejso4+2cS9/FB++gobSVfyEdpM55pZJR2J8kkt/8sGVWvUUSXeG44yZvGs9Tus8QoQ5rJSWpM8Kbtv2Qk9mFNi0rT2o6LpmZFEbr5vIKNhoULhTAjAxtqTFZKY5E6gedxqaRGHtswV24Q5Z9daxhhFNULogIP83kFT9uhhzavSqH/VbfwtKFjp2WC53n8eqMJiQOWChLu74dlfks5GV7AYb6o4Goli6Iqw3QDIADcwIfv+9AdD5rloGM5+GSng9eXivj9VhuKyEXV0tqmg99ttlBSeGx2bFyfzWM2J4MXOBRkCQ3Tgel6yIlhbt2sLGDfdKFZDu7vtGB5DlRJgCSIeGm+hPt1HRdLMn73pIadjoW1fQMSB7QtB1tamD0iK4UlgH3fx1pDj/oR5s718GCvg7Ii4M5mK4qWh7l1Q1sGyy08X1CjSYSRpSQWoW9YLt64WEZOEfH5ntYtS3xQMCIeFU3aUK7MZNGwvNSXpfg5VM1IB3aIAefwOBHLtOXHaaNftDfZRk4ZXJ3tNDnNyXSsjWEib9T776ijTkmGidyTHIGcNmvCMEjoEsQxOKkb0vNotejnbRxleDWessnrluONyt322ZehOA6H7efzCpqWj9lu+i+27KsLBTQsD5rtYbmg4O5OpyfvbsuwIy/ubicsM5uVw8isZrvYbOiRnzQsf9tNbSaL8Pywn4rIYa9jY0+zwfM8CqqEzbaFpmnhd0/2cbkkY6Nt4s62hpdnc1BFHnuajbIqRoUlPt1uw/d9LJRUqLKMC+U88oqEWsfCo1obPDz8491t/MXFEj560kLdcOH7Pn75aA8iF+DznRZmMmE7ZVmA4XgwXA/LpQwulnPQ3QBXZjKo6y5mFBEbTQMXyyo2mib+aLmE5XIery0W8XevLOCjJ22UMwJ+/7SJ5ZKCz3Y74WQ2L7RJhCWYw0ltrEpcVhKi7AmLRbXHr8uKVMzlZZjdDAqsBPPlcia1pCo7J8KXIAcvVDJRSWVV6H9dsUlqLG0co59n3PR8FFV5oGAYVVQMGgYfV5j0eyFMa3eUYexnhXG2Y5jInUTasaPu19MQos+LyAVI6BLEsTipG9I0v3H380X2qwsP9KZi6vfwiE8cYpXHolK8iYeP5/lR1JWJLVZKl4lQIBQy83kFqsjh4602XpnPR5HdR3UdbcsBEObFXSmr+O1G86AamO1BkTjcr2uoZiU8rGlRdgDGvT0dhu3h8b4G3bTwqK7BdANUsjIs20NJkbDdcdDQbMxmBaw3TdR0ByVZwMdP9zGnivjHu9vIAvjNWg3/fG8XfOChYznY65jQXBf7hgee43GxlME/PazjjYtFlGQBn223cbGsYr1h4mI5h33DxVJOxq83mtAdD1fLGTRNF5dKGVSycne7OYADqnkVugv8mxfm8HjfiKwTn+9peGWhAM/nsFhQcH9PR1EN96cicKjpDhaLGSwWM+B5HtWcDA6A6QVhdgeRgyrwPX5dzQpfRDTbw27HhiqEkwSrWSmyqAwSJvN5BU8aYZo0ANFEtNQXqcQkNbYcm1QYP4daRtiXURj1Ok4WoDhKG+P2Y1peqie5Hce5/8bPkeP0Z5QXo3F41o/vcZhqj+6tW7fwwQcf4Pr162g0GgCAH/zgBwN/Qx5dgjg5hvkHgcMPChapjU8sG2UiDvNqpqWE8nw/ElKe50NzXOSksJwtEEb2mAeUZWCwnLCIwaVyOIGMA+C5Acr5cOj8Xx/W8MZSIcxte30WD2saOoaDrBJWNLtQCIszLOXDVFU7bRNFhUfL9FE3bOxpJpYLGVyp5rCnhZPH5nIyNloWLMtG3bDxpQsVvL5UxM8f7EFCAAccXpnP45eP6rAtBz4XoK7bKGcUiFyAPd3GxXIGHcvHXEHB5WIWW92XB98L8+W+uhje53iex2ZTBxcAGUnA46aJP75cxpOmhb2OifmcDJ/j0bEcBF6A2YKCzbaFa2UVNc3BvuXgWjmDB3UNxYwC3w/bvzKTw5OGgZfm85jLKT2pwx7v6/C8AJbvY7modiOkUiReW4YNcEBddyFxQFbhsdkOi2yY3ZeV+LmR9F8D4X623TD/LcsuEf8NcODPZR7hNB923APM/K1sktlxSTuvT3NOwbTMX5jkdkzKC5x8aQJw7GM8rsc2ef5OC8+9R/fmzZt499138aMf/Qjf+9738IMf/AA3btzAW2+9ddZdI4jnlmGRkqSHMBnhSnopk8SFLMuXynLhxieNxaO9ghAKICZyc0ooeJlF4ZX5PJqmj6wioJIJ179UzIRD7QhTjrUMGyVVxB92OvjyfB53NltYLijgBR5ZScBcXkbNcOD7PnY1C7rt4XI5g5blw/LD1FwZUYAqC6gboYhaKKgw3QAvzmZh+wE6lgdFDLMwLOYlbLQMeL6PRsfGQkFBpaBAEkVcLGYRAKjkVFytFuD4HPKqCMN0cWenBdfxwCOsMJZTJfA8j8VuAYaFggrTD7DZsXClpOJ3G020dQst3cJm20Rdt6F2J8J9sdPCQlbGg7oOXuDwQjWLL2o6rleyMBwPWy0dBVnA07aFr10shenOutYAllM3r0rYtxxkpHBSGisEEcGFKc8ulVVIkoCm6ePGcikSuVstAy3T7k6QCwVoy7R78h/PF1TIYm9FsHgWjfg5pQp8atniZDUz9ptJiNx4e5OKBh5l/aMSj4CftyjhJEXucco0p33GqgKyc5ONLB1lH44TcWYjEv0sPs8DUyl0G40Gvvvd7+InP/lJz+dvvvkm6vU63nvvvTPqGUEQ/W62/TyEwOEHyKB8pZrtRmV6c4oYiSsWnY3bGZL9SaYdY5OcXl8qRtXJGJ7v40JejtJ3LeVlzOVVOAj9pPdqelgEoovA81guKbC9AJ7v415Nx2xOxmJOguGEftimGW6TyAHrDQMlRcDvN9uwvAAvVLN40vWZPm2FJX47loOnHRNZScB8Xg2tGJKAyzMqbD/AbF7FSiWLnChiS7NwoZRBJSdBcwBFkXG5FBaSeFTXsVxQsNGysFxQ8aShY6NlwPd9bLQM7Gp2WIQiI2KzY0ISRVQyMp52TCwWFDRMF/uGiz+7WkHL9lFWRbw4W8Cjhok/uzKDvbaNlmFhq2VCs118ttOGxAe4u91C27Dge+EB02wXZUXEnc1WZEG5WsmGojKvoJINq9ixKmiu72OvE/qxWRYE3faiYx69NHVTlrFjm3zoM8ErCKGVpV8qsJ4CIYkS0cclzZN73mCRbJZD+DxbHo7Tr6NYF5LiOLmvWES1Z/IfN6DBEfo46nKTfCl7FplKofuzn/0MKysrKJfLh777zne+g3fffff0O0UQBIDBD6B+HsJ4FCT+EIo/VOI3dDYrn4kWJm5emc/jF4/q3QICvfl1gcNe3pZhR2Vj2Wx/tqzA82h005EtlFTs6C5eXypCsz08beiQuADbTROa40EVQ9+pLIrIKxK2mwayImC6AZyAw5culCGKIl6by8NwPHh+aB/41eMaciIgCxw+3dVDS0FNQ4AwPVf8OfmkYeBqWcJaXcdWy4LChzYDywvgAHjzhVk0TBerdR3XyioqGRHrDQNtM4w0/2q9gb+4WsEv1+p4YSaDe3s6fAAty0XHcmA4HjbbJsqKhKwkQHc9cACeNgzkRMBxXDzeN3B5JoOsJGDPcPE/f+0iPt/VwAs8ZIGDZrrY7dhYLip4UAsrplWyCrZ1O8qKcK+mo6SGk82Yj5qlHvO8AKoQlhXOySJsJwDf9VjvdKwww4PpQLO9Q5FdJhyTIjXpC4+PHiTPzWSWhqNMOhpnWXZ+HqeNSRLP1DBuXuDTZBIR8XG3K3lOpO0rdi+Kfz+umD4K0zTh8ChMpdB9//33UalUUr9bWVnB7du3I88ucXI8zxfWeeE8HIN4H0Z5AKVmWUgp3MDaYpPDWBUxzTpI5B9/iMwXwopn37hQjLInDErkr9kuvOAgIuN5YaUtBIg8pn73u4c1DS9UMt2UWBx0x8OW5mC2IKOoSj3RuawsQBA4eEG4nMSHE7GykoCW7YV5X1UJvu/j2kwOaw0THIBrMwru7bbQ0AxolgPbDVDNypB5DnXdxiuLRXy6reN6NYOG4aBmWGgbFjTLwUtzeay3HSg8B9u28aCu435NxwtzWTRNF4/2QzvErXu7eKmax6e7Gq7PZNDsWjIKsoBLJRVPWxZmuhFoReBQ65i4XMlBkWVIkoiLJQVPmhZmVAnXq1n882oNX10sYC4vw+cEzBUVzOVlbHYcVLIyqtnQ9/uVpQLu7nSQU0TM5WXolh9lpWDHPSeLcIJw4ho7PorEQRVCuR9mzghzBANATgpz5wKIIv1x60r8HGLnXL/zkmXv6DfaMOmCB/HIc7woxbjrOwkGvQycF9Jehk9rvcn/D9pXx4kYj8NZnzNnzVQK3Q8//BArKyup37HPV1dXT7NLzx3P+4V1FvQdyh/wAD+NPvXz3fZbPu5jY79hUb34kHNOCYexL5czuLvTgQREgkBz3J70Yoy5vIzVhomrlWyPrzMpeoBQGDs+Fw41diOK1awU+UNrhgNF5PDbjSYW8xI+2e6EJXl1F7NZBctFBQgQZQpY3evAdkOvcCUjh4UZuACP6hoe1zTkJQ77potiRkZBlXB5JgPNC/AnVyqYL2Yxk83gcqWAtuuD53m8vlCEKIbD7Y7rYU+z8ceXK/h8VwtTc2kOBE5AXQ89rMtFBTXNxJ5u4VFdx6wq4M62hrm8ihcqOXy43kBR5uEGHmayMizPx0olj8uVAr58aRb7poc/u1LC7zaaUKUwA8RLs3nsmy5mczLqmo29blGKph1Ge+dzEj7eamO3Y+Pl2RwM28N2M6wAt76vISMKyEgCtptWWMWtO3nQCRAWiAgO7COa7aJtOnBcFmn3ogmCbJKZKnJAEP7NKrIBiCYexvMtx0cBNPuwt5fxsKZB4hCK7pRrbJRzepzzP34esvNunGuIOOA83AMnxXEzQZy0FeY879+pFLqNRiPVthCHhO7JQjfj0yXtxaJnks0ZvXQM8t32W75fEnvP96P8qUC4zSyP6lxeBrqRUdbGbicULi3Djiaj2Y4LVeSwuhcK43i9eRZBY4RD3FKUQqqYkSHwfDcNVvjZ/ZqO1xdy2Go7eGU+D3ChmJYkAYvFDEwvzLbw+Z6GK5UsNtsOLs9kIAg8losK9k0XpYyCuYKKT3c6WJkJMzqoIhf23/fRNlzMZFjlMxNzOQmW42GjY+K1hQIapgtZCAswbLQt/NuVKn611sRfXp3BtmbB8334nh9mb/ACLOSzkATgacvAQjYsUvHrJw1883oVPM9jtW5gsaDA8jzc3e1A5AJoloMvLebxL6t1ZCUOe20dRUXE/boOReBwZ7OBssrjN+v78Hwfc/kwW0SYs9YB7/v43WYLs3kZe4aNh/smvnFpBi3Hx8tzOZi+j30jPD9bpo0LhTAvMRN6TOSqIod9w0XdcKEKHNq2g5IiYKdjYadjoaJKML3gwEsd83awqHD8mgir4YXReQRhOrnkLPlqRkLD8g7ly+0RpH3O6WhCpN9rvUkSF7hAb5oxdt6Neg0Rh3MSA2d3DxyHYf07boSanYeT5rwHtqZS6A6CCeB6vT5wuVar1fPHsqxT6N10QTfj06Pfi0Wan/C4jBsdOWQJGOFmnrYdAs+jZjgoK0IUjWXWAxZ9vVzORO1fKqmoG73CQhDCamVXZrKRv5blR2WWhygSbLuR6GZ90Gw3Khzh+z5emM2iafqYL6qRBcLzw8pkOx0L83kFX+xpqKhh4YIwa0OAvCphT7Mxo4jIigJ838f1ahb3azoA4POdDu5sNlFUeKzua3hQ0yGLHAoKj42GhZIqwnFd3PpiBwtZCQ/qJjJSWN52vWXhzRdn8UVNx1JRBR9w+G/r+xC5AC9UsrhXM/DyXB5104PlB/hsu4W/uFzCLx7uo6bbWMhJuLfXxm7HBO97eLDXRsdy8MWOhqvVPHieR8v0IAkcfN+H1k0htta08b9/aR77RujV/dNLZewaLubyKvYtB4rA4d6ejjlVDPeP7uJSOYOa7mAuK2O5FBbrKKoyGpaHSyUVNcOBKvLYboUT7hyfQzUn41JZhekFuFbNoWmFpZKrWQkN28PrS0WYro/L5QzWG+aha4D9qek2VJGPMkAUM3KU1qwHLrRF9PPs9oN5gU3Pj3I1D5pECaCnatug6yFtXdPIUSOxacf7vAdeRrV1HUtQnlAy2dPav5ZlHdJmo/DcCd1RuXTpEkqlUvTnnXfeOesuEcRAhkVKJwGbGHbUyMBxhhJzihgWEvB6xQVr51o1FwmP+YKKp207ypYAoDvrOcAr83mYno9r1Rwe1jSU5Zhw9vxIrEoIfaA7HSsSvzlZRMNyMZeXkZVD4QUAZUWIIs27HRs7rXAo/lFdh8LzeLivYU+zsa9b6BgOfC8soNCwXPACj9mcjM92NFwoKvjP93bQ0EwoIvAvq/uYz0nIScCO5mCv4+BCOYtdzUFTc9DQTfzTF7vISRw+2dhHU7fQ0G3c2WyBA9CxHGxpJgoyhz9stfHR0xZenc/gX+/vwXFc3NtpoZqR8cH9Ol5dKMD3fezpNsoZFV++MAOfF5BTZOw0LfBcAJXnUcnKeG2xCD/gsFBUEADYN1383SsLaFoeZrMyXqhk8Kv1Bl6sZlHJiHhU1+G4LjKSgC/qOlw3nOBm2nZY6ljg0TS7k8W6lepYBbX1homZrAjTC3C1kkVOEvD5blhprqjKmMvLqGQk1HQHOVmAZrlReeAXq9nIzpKcOMYmK9YMBxcKYfYMdn7GfzNswlA/4RF/ERsktuKC+SiZHM57NO2oxO81aRPyhpG2nyfFSezrUcTiUQUlG0k4yXLPk2h32H595513enTZpUuXRmr3uRO6bBJav8lqjPX1dTSbzejPD3/4w1PoHUGcX+I3y2EP/35Ctp+dIm3ZfrPiBZ5HtVupK010e56PO5utSOTERQYTwyxyV81IqJtOVIGLDW8XVRkOwupmZUXAR08aB+ti1oUA0G0PF/IyvtjVoAocPN8HFwA5VcRm28FcXsa+5WBGDSdwiZyAfCYcXuf5MBOB7/l43AizMHy03sA3LhVRNz2YLvCtry5ho2XDcgLUOiZkPsDHT+qwHQdrLTNMp+XYuLutYbtl4bdPG+Dg49OtBu7vtsMywU0b6/s6ygoP3XKw0TQhSjzalgPL83Bnu4VrZRX/7082Efg+dNtFTuLRMl28NJuF6XhYLIl4UDOw3jIgiSJEUcRL80UU1DBd2ko5g8922pjLy+AFHk/bNl6czWJt3wjTrGUlbDbDvL+W46GoiLC9ANttBzNZEY9rGiQ+wNN9Hbbj4VFdh+n6oV1B4GA5B6GoPc3GfFaMJh8yTy8ASAC2WkZPyeV4SrikKGSiumY4YXliAGsNo0dwJu0K8b+HCY9RH/7HjTqe92jlUWD3Gpbz+rwI+ZN8sRjlGI47QjaKxWbQb09rv4+yX3/4wx/26LL19fWR2n7uhO6oFIvFnj+Kopx1lwji1Ik/2JMTYgYtm5xQFif5UE+7wcUja8nvWCGHy+VMNCzMUoBptovdjoVLZRX3anqUOzJ5k9es0PcpCGGxhOi72NBeThZxuZzBJ9sdfG2piLrhYr1hRkPigsDjlfk8nnZsXJvNoZiRw4loBRlPmgZKsoBPt1rISgLcAJhRRRS6XtuSEpbgBQDd9fC4rkMWePA8j422i69fmsFiXsUvHu7j5bkc9nUbVytZPGk5EAUBhuOhbdqwHB9BANzdacINwmH+329qKMgSOqaLf/x8D9+4mEdGlvDr9Rb+/OoMNAdYLmWhyjI2m+FvPtlq4eVZFf/6qIGlvAov8DGTldEwXVTzKj7dNpARgN1mB79b28PTRgeO64IDUFJFfPS0ieWiiu2WiWbXF/z5TgeiEEAROAi8AFEUYToevrZcxNO2jaWCgoszGWx1HHx1qYim5UOSRDStMPPEbzeaYSlmDqiboWXkUV1HXpXgBmG0985mK8qGcbmcwf19AwjQM7Etef6sdXMRP6xpKHftKEVViiL/zPed9EOmnZPjiId+D/Lki1zys1HanFZyinimacwGvayf1YtF2jk56Hw5ThR40H18kowyqRMAFEU5pM1GYSqvkJWVlb6TzZg3t19WBoIgQpKRgEGTOpLL9ptQFieePSFtwtqg1F/sc832oiIDLMKbVQTU9HByGMu6EE086t68t1oGbDcUuz396NoivO7fNd3GX1yt4H7dQCUroqTw+MWjOl6sZqPvL5VUqCKPR3UdL1az+PVaA6/P5/Hhk31sN3X4vo+G6aJtOV2xbOCXj2soKTw2GwY+2WxguSDj9pMmSgoH23VxZ7OJhmnCchz8vz7ZBMcBj+o6LhYVXCzKWG9amMvKMBwfLdvDyoyCxw0bO20bry1kcGenjft7bVwpS7hXM7HWMPDfvTKL/+WTbbw8q2KvbeLTp3V4joXfPqmjoMq4Xzfx370yC90DShkFPM9DETjsawZKqoDHDROqouBCOQs/4OAEHCwvgCLwuFJWsdmxkVclgAMMx8OlbuU3nufBCRyuVbKoZmWsNW1840oFqsDjyb6BF2ezeNqxsdcxUVIEAMCv1ht440IBT1sWeJ7HjeUSfrXegMQH8H0fphugbTrIy8BnO21UMxJubzS7VdOCnuIe8ReqlmnDcV1stQxUMxI22tZBMYnuuRAVpEh5uYufk/2uhUHne/JcHvSSN0q7Zy26Tou0qPpJk7Sx9OvPadLvnBzWn6P0d9T7+HGJ7+eTWs9UCt0bN270zZPLBPCNGzdOsUcE8eyRvImO4jNMLgv0fzClRbKSbfb7DggLBCxmJWi2h4blRhOGBJ7HtWouSiWl2W5PWimB51FQpWg4nGVkYJOHNNuF5oTeXOb1vFhSUNfD6l8vzmbx8VYbOVmMikisN0xUsiL+ebWGb16r4HHTwkxWRikj4u5OB0WZx05Lx92tBgzTAgdAFAWIkojZjIS1pomr1RzcgENOFLBQUNAwfTQMB7MZHp9tt1DTTDxq6PACDi/N5fC4oePLC3lkJBEcL+J6NQ9V4vAPn+1iLi+hovK4u6PBdAJ8/UIe/4+P1vG3L89itW5C7D68NjUb1yq5cGLdXA5PGhbmCwoWcjJqHRMdy4fuBNjXLKxUFIg8j5wi4XJZheO6WJnJ4H5Nx77pwvd87Gk2LC8I040ZLmZUEY7jYnU3rO6mOx6uzoT5eLc0Gy/MZbHXtvGkaWBG5fDz1T1st8IXhk93ddxYLofWAt1GWRWx101hdqmsoqBK8CGEEX7DwVJBwt2dDl6Zz0fR2TDa60ZixXQDFLplj8O0cUI0MY3ZYZYLSmSLYBMV087TQSKj3zmftmw8Zd6gyNY4bU4rp+lHjp8XZ22bGCRsT/L4jzIRchLrOOn9PJVC96233uob0X3w4AHefPPNU+4RQTybDBKgo3zeb/LZJB5Y83kFW7qDa9VcNOGHVUIDEInUalaOcqjG+xlwQNtw8GCvA9vxIkGs2R70rjf3zmYLO20Tt9f24Xs+dNvDbseOvKBbzbCymMQBH67vYyErY71p4lI5g6WCAsMF3npxPiyLm80gr0iwA8ALOFyfLWAmK0O3XTRNF3M5CZrtwwEHRRKwUs3hSrUAVZFRzWfgugEs28XDuom9jo3Xlkr4dFfHclHG5ZkcXB+odyxUM4Bp++DEcPKeKgW4s6vjG1dm8PPVOuZyMmq6i6WiglcXZ6DKIi6WVdiuh4WSCtPx8C+P6jBsG4IQZja4OJODBwFfuVBEJSPjHz/fgySK2OzYeKGSxeN6B798tIOtZgeaFVYmu1hUsNm28Hhfx3w2nJA2m5Pxr6t7sGwbEhdgtW4CHPBCJYs72xqqeRUCF+DX3Spt681uXmTbQyUjwfYCXK5kekqaLhcU7Gk2EHDIykLPd7uahYc1DbbrYnWvA1XkYLoBLpczYSU1hCnAWJT2WjWHjbaFalaKRG+Um9k6KCoxyPM46rnNRhfCFGyD253WCWfjctoR7PNQ/W0U29ik1nNWnPR+nkqh+/d///eo1+upYvfmzZv4/ve/fwa9Ioiz5SxuZIMsD8MSmA/yMh5MHBN6vMHJIc5qRooErucdVDlTBR6G5QFcmGrV7Po8Pd9HWRZgugGetm2oIoftVpgx4EnLwHJZCSOTrouNloWsIuB+TYcTAC/P5WF1PcM5WcBsTsZL80Xc2e3gWlkFOIDnAtzf7eCV2QzubrdQkHlstm3kJA7/5f4eSgoHy7ax1TDRNCyIXIBSRsLVShYt20PTcLCn6fA8B//53i5Wqip8P8Ce7uI7X1uCHfDwfA5ZVcJXlmeQlyVw4FBWVdgeYDo2Pt6oo2Ga2GzZeH2pgJVuyjBVELG2b+BxvQPLdnF/T0NNczGfD0XjC3N5bLct/G93t/ClqoyP1vYAAF/sdeAHHMoZGY7PIadIKKgS6oaLq6VMWKKX5/HGpTL+sNXGclHB430DT5oGOpaDmYyED5808NfXZwEAra7o/8WjOi4UZDzYC1O5bXZs3LhYhukG0eTBalbCvZqOG8slNC0vKhAREQDLJQWrdRNZWYBueVGEOCcLqHfLBbNzFQhfoBCEfzNrQ9yvyM7d+LkWH94eZzg5PjQ86HfnxaJwHoT2cfbBUfp/1vv8NI79SbxIjdvWSW7fVArdcrmMn/zkJ3j77bd7Pr958yZWVlbwrW9964x6RhBnw0lFhEb1EcYFb9QXu3+fDs2OT4lqsPKoLcM+NGktapNDT/EA5sE1PR+zhTDd2Gxe7mZyCCck3d83oIpcmKvVDTBfzGJpJo9XFopomj6ykgCF5+G4Lv7hs21cL8lhKV9RBLhw5j8AOEGYZ5b3fTxpGrC8ANWMgq9cKOHunoFXFopo2z6+slTErubgjy9X0LQCFFUFc6UMWpaLzZaJsirhYa2Di2UFWVlCWRVxZ1vD//j6PD5ab8LwgL99ZRb/ebWOiyUFAQfkRA48x3cLHQi4WJbxpGlCBIeO7UEzLFSzCja60eeW6UIWgX3dRqNj43FDg+N4yEkc/uGzLUg88Nv1BiSBw19eq+L2tonXlmbg+z4KCocg8CFwochVeB53t1vIygLu7LTw8lwOi+U8LDfAlbKKju1juZwFPB9FmcednQ7+3ZeW8Mm2houlDDp2mLliRhVxvx5OHGsbDiqqiPWGibbpYLNlYKdjAQFwtZKF6fq4WsliV7N6jv9iKQPH5/C1pSL2NBsBhyhdHJvExvIys9/FvdrVjBROiAMOiVLGTttEWRGPnAJr1GHoSQuB5IvjKMs8y1HlZ7n/yYmR/Tjqtk1aTI+7r0/6mHBBEJxQCuGz59atW/jggw9w/fr1yLP7gx/8YOBvWq0WSqUSms3myDP6COJZ4CjpZYa1p4r80BskW298eeDg5j3I4xhfJm1ZJnCZJ5PheX5voQfLxWbLgMDzKCsCGpYHVeCiylkCz8PzfJheAIkPsNe24YDDxWKYbcX0AnQMB9uaiYWciqcdCwWZh+l4eLxv4I+vVDGXl3F/pw3D9fDlC2UA4cz+lmHhSdPC//SVZfxuswXf91FWJDxp6ZjLq1jd66DatS3MZGU4rouO5YODhztbHVys5HChIOOTzTauVnOodQyUswp+fn8P/+aFGdR1D64HXJvN4fOdFj7famE+p8Dnebw2p+DjLRPLJRmyKODJvo7djo0XZjN40rTxf/n6ZXy82cJcRsLjpoGCImC3Y6Nt2KjmwywSM6qEh40OXp7Lo6DIUCUBssBhNq/CDTi0dRu274NHAEkSUeuYeHE2g23NR1YAdjQLX7tYhSJyWKtpmC2o2GyH0WqB4/HaUhG/fFTHq3N5fLbTROD7MFzg1fkCTD/AXE6GbnsIEE5yEwHYvo+cImGxqEbV0wDAdl00TR+VzIF/OieHtomSymNfD8sVA2HxEM32kJOFnslnrJBE/Jwado6yDA/x87ym25GF4ryRvBbTruO063vS95DT5rj9P6vtZyMKg9I6jno/Zsue9HaMuo5x+p1kVL021UL3KJDQJYjRGXYzS97E+vnM4u3EhQJLD5U2VByvYhUXGKEvV+p5KITlfz04AaCKHIqqHIkjFvFtmXZU4tf3fWTlMAOAwPN4vG+gZVhwXA9uAFyeycGwPexqJmSBg+V6kCUZAheARxjN/cpSAbrt4eOnTbw0m0HdDLBcVLDVNrFW13GhKGNPc6C7HviAw/JMFk/2NXhBgIIq485mG0XFRyGTReD7uFBSsN4MPbEP9zXkRB51wwXH8+ACD7uai9lsmB3hQkGB5Qe4t9fB15bKCPwAlh9go6GhqIrYaJj4u9cW8MWeiaszCpqmC9cPYLk+FgoqLNfBRsPBTEaA5bjoOAFeWyjgUiUHw/HwuN5BThbxRxdn8OvHdSyWMtAsB9WMgn3LQVO3UcmraBsW5nIS6oaH67N5qDyPLd3GlaKCT7ZbmMupqBs2LpVkfLTRxnxegSxwmMureNI0oPI8FkoZzOVltA0njMq7AWq6jS8v5NGwPHRMB57no5RT4Hvd49ZdrpqVsNuxMJdXUNOd0JbQ5VFdR0kW4CAsNhKNBnRLAsdflNLOa88LU5/Fq56x83SnbXYLlBw9SnbSYiR5zfXbzmdZ2E6S4wiySaybvbyPElQY1tZZbUc/jnqejarXptK6QBDEZDnqjG9mMYgv1zLtHotB2jBXPEtCUiTvtE1IXBgtZRaI+O/ipV/jbQoCB932UNfDz1gBCCAUN3sdG57vIycLKKgSimpobdBsD9dKCgSeR1ZV8OpCETlJQMNy8epCEfuGh6IsQeQC8AFwd7uN5YKIz3c64HkeL88Xsd4MtycAYNk+Xl8qwfR5VHMqCiKPgirgadNAx3bRMly4jotqTsSThgkgQFmV8Nm2hoWsiM/3NFyp5GD5AWayMnzfx28e7UHigMcNG19ZKsAOeHQMF1dLKp7s6+CEAKrEoyCLeLCr4UsXSvh8x0BGBPbaDjabFtZqHYicj6ctC3ttJ4yAGjYgCPizqzOYLahhyV3TRSUTbsu/PqxhIS/is60meJ6H5fsIumWBNcNETpGw1XHxV9cqaJguHADfvD6LuzUdl2dyAAcsFhR8/LSFiiqgpIooZsJ9rfIcWoYZFekIOIQ+W8fDlxfy+GS7g5wsYKdjYqcT2gYKGQnFjIyiKnczbziYyynRRLPoxadjQeQDrDd1qCJ3YH2xD8r2Age+8vh5xNIgxQunJId+jzu55jSG2UexTLBr6Fkc7p80Z+mTZufbKPfbUdpK3pOTnPbxPul9SkKXIJ5TxvFPjVKDvd/n8bQxLFqm2QcCF+gVs6w6WbxWfc+MdFnEetPEfF6Jsirc2WxFv1trGLhQkPGbtf0oP2M1K+NJ0wIPD7zv41FdBxBWNtvpWGibDhSBw68e1dHqRggf1XUsFxTkZAEPmxZuLJfxxsUyCqqE3z9tYjkv4teP6/jm9So4MRRoDjj8H19bwJ1tHRlJQNt0wkllCIfV72y1EXABDMfDV5YK4AUe1+dKKOcyKGdllFUxLNJQUIEAqORUrNd1uL6Pmm7j480WLhRlbDRNZGURW20TpuMBPoffPanjtYUc/rDVRlbiUM6I2NFdvLRYgCJIyCkSBFHCn1ypwAePvCqEJXabOlqmjbbl4mHdgG454PlwfZWsjJmMjE+3NWREAf/w2RbKKoftjgV4oV3h1+strFSyqHfMsMTvbgcFVcSe7iAjCXh1oYD/9e4OFvMSJA74+YM9zKoi6rqNyzMZuAGHlxbKuFDKoGG6qKhiGJlVJSwUs6HoFThwAXBvT4fEBfjl2j4WczIe7xvISAJEPoy+qwm7iipwML2DSng7bROe50MVOYgcj2JGQVGVo/ONCVSWxSM5kTLuxz00KmEfFsPDrqt+1864KcZOivgkvJNa97Mkos8yAjrIsjAOyXtykrQiPUdZ13k6riR0CeI5ZJyI0bBIRr+2ook9iUiXE6BHSMQn5CQ/i1sTIjFsu7hUUvGorqOaDQsFvFjNYq0RTlCazytYb5pYyslR8n/T9fGNyzNQZRmqGmYxML2gx6bwsGHiq4sFfLHbge54qGRFbLTDyU0vz+WiKJ9me7hxqYh/ul/HS3M5/OpRHbLAgQ88XCtn8LvNDr5+qYyWHuaHFXgeoiSE/c0I0E0Xt580cHeng7msgNtPG1AEDirPY7Vu4C+vlvHpdgeXK1mYjo8XZjP4aKOJwHOgmTZ+87iJGVXAH542Uc3wMJwADcfHG5fK+HRbQyUj4pONfWx1QoG9rzvYahv4w9Ma5vMi7AC4MpPBlVIGj/ZNzOZl5GQOEg+0LRfLJRkdC1goZpGXBWi2i5IM/KdPnqBjmFirmZBEAVYQQOSBF6s5/OpxE29cKuPuThtfms9hR3Px5cUyAODzzQbm8yIe1HTsmw72OiYe1Nqo6zbquosXKhlcmcnA5wT80YUSvtjrYCYnoqBIuD5fwFxehuZ4WG8aELkAHTOsyLanW5jJiCjIEq5Us8h1LQvxKnme7+PuTgeaFRaLUAUepuejqIalilWRO5gUaR+ca2nnPzt/G5Z7qKBEaI0J/05OThs02XKQqEj6Zc9iMlU8M8RJ8CxPEDsPHGX/DbqfMxGcFvEdZ13n7biSRzcBeXSJ54VJ+u+SbaV5c5PfDxLOyclrca/tfEHFw5qGalaKhG1NdwAAi1kJW91/My9uUjAzcbHTsdAxXJh+6Eu9Vs3h5w/28GI1FMGqyEHgebRMB1wQTkh7ZT4P0/Xx0ZMGVioqPvh8Fy/MZtGxfFRyMrbaFt5YLuGjjSYyEmC7Aa6Uc3jSMlBSRdhegN9tNPH6gooHNRuiAGi6CyvwsVRSkRUFfLGn4a+uVfHz1RrKGRHljIy1fR2fPt1HQZVxsaSi4wS4Vs2gZXpomR5Ezsa2FuDGxTIe7bUhC8CdrQ7mcgLAi+B5IHBdSLKKry4XoYoCHtY1XCqqeNqxIXA8djsmZjI81ho23lguQZF4SKKInCJht62jabgQeKBjB/jrlSp+t9mALPLYaJj4y6sl/GHbwBuXK3i428RcMYvZrAzTC9AyWIEMER3LAR/4+HC9gS8tFrBcKWAmI0ZR23s1HXNZAbu6h+WiAtMNUMmK2Gvb8IKwylrDdHGhqMCwPSx0J6OxY/uwpqGakSJh9pvHdVyekXGvZuErSwWYbhD5cbdaBkQAfjcdXPSA705ui/vDI0tDYmJWfL2O46Gck6Pzk62nnx9y0CTL5HLJSZyjXoeTot92TGJ95AM+HicxyXjYvfks+pUGeXQJghjIJG9C/aJgSdsBMPhtP/ld/MF6Z7OFsiLiN2v7uFbNQeB5LBUzUSW0a9UctroTjqqZg8lomuWiZdhomXZXIMuo6Q4Ense+5UAVuMin+WI1G2Vi0LrFITqGi483m5C4AGsNA4/qOv7iagWrdRN/tFzC430dnu/jwV4HF4sK/vn+Dq6UVex1HLw0W8DTjgWBC7DZMGF5AV6czeKjJx0sl1Ws1QyYvg3H9WE5PlRRwKsLefzj5zu4VBShcEBNd6CbDmQ+gO35aDsOyqqAB7sd7GkmHM/BesPGTEbEyowKUZSQy6j40oUydDfApXIWZVWB4XO4Usmi2BWGV2cy+GSrjZzIQ7ddvDCbRcNwcX0miz3dge0G8D0fRUmA7oQeX8cN8NJsBv/l4R7ysoC65uIvrlXwj1/s408vz0AROEiiiBlFQgDA833kFQlt20dB5nEhr2CzbeOVhQKcboT8yb6BXz3cw3bLhO+HHuGMJMB2PKzW2ljbN5DPhLl5G2ZYmc6wvW4kOoz873Ssrmebw27His6n15aK+PhpmMeYebDZA3ixmIHfPXfmC2qUrm6rZcDulpaOi1yWjzleVpqds9WsBF7gopy7l8uZyL4wKDdu2rWTthyr0DaKIB5kI4r/nfz3sD6MUr44bX2jtE0cneQxmWR743x3nGVPGoroJqCILnEcpi06MUq0aVAGBUY8S8KwKBa7WcejWJrtoqyEJXbfWCpgW3fx+lIxWl6z3SiVExO2ghBWSdtphxOa9tp2lDtXFTms7RuYUUU8bVu4UskBCPOm1gwHvh9OVLPcANudsMCE5froOD6+tlTA7zbb+OsXZvH/ubMJP/BRUERkJQG7moPXFgp4WNfx+mIBD/dNKEJYdMJyfTh+AA4BarqDrCBisSTi020T1yoqlkoZPGmaqGYlGJaDfctHQRYgCRz+dXUXHcPFly+W4flAx3KBwMdmQ4ft+yjmFLwyW8Bm28E3Lufx8VMNRYXHRsPAbCED2/FQ6+j42qUqsooExwvg+z4sx8VqrYOV2TzWGzaKqgiO8+F4AV6eL2CrZUK3Xbi+D9v2YAUcZnPhBDiO43B9NovH+xZencuhbrpQJQFLBQUNM6z2Vs0IaJouFgsKtloWREnEtRkVD2o6iqoIxwuw2dSQkzh8vGng1YUcXqjmUcop+P3TJqqqiJwqQhZFeL4PCcCjpoGX5vIoqFL33PBQ75gQeA6WFz7O5gsqqlkJn+9qWMpL2Ddc8DyPkiJAloSeczF+zmpWWPo5npkjHultmTZUnocDRCI7fs7GRx6GZV1I/qYfzArBLBODGJQ9gWUyYf2KX2OTzgxxHmf2Tzsntc9PcuTvuFBElyBOmXE9TOed5PawSFby+3ii/LR9wB76g/yIceKz2EPREU4ya1gu/vJaFZsdG5dKauRbbBl2lIVhp22GXksujCayCK7pBpgtyNCtMG/qXsfGcknBlubgQrfMq8QHqBlhRDgrC5BEESuzeZQyCmZyKvKqhItFGf/fL3bwtcUC/uMnT/FCNQvfD2C6wGIhi79+cQ4t28driwXc2WpD5ALYrgs/4MDzHC6VM2gaHq6UM3AANAwfX79UxspsHr9/2kRJ5nB/Twe4AJfKGUgChz88baGkiHh5oYhqToYi8VgqKjA9IJeV8cJsAUuFHGSJhyJy+E+/34Lrubhf01FQBXRMF23TQSUrY9/00DFtdEwTdd3GvuniK8sz6Ng+clKA32/U8LCm4ZW5HD5ca+KVuQKeNE00TBdbmg1VBDYaOj7daqGSU2A6AM9zWGuFhR2uljJYrevYa5uoZgQ0DBfzxSz2DA/L5Qwu5BXsGy6Wu4UhXlssYnmmgC3NxzevlZGXBfz6SQPbbROvzuUgiQJkUcQr83kIPI+m4+H6TA5rDSMsxcwBe5oNgefgBByykgCRC7DTMvHRkwZeqGTQtHyszOZxtZKFwHOHztPkeXy5nIlShjGRyzzlRVWGgwOPefycjTMs64Jmhemi4hlI+hH3BQ9jUPaE+GS7tEwRR2HY+kjknh6T2Odp8ywmVfjhLH27JHQJYkKMeqOZ5AV/kjeN+PawlF7xBzNLUxOfwZvcB/HJDewhCxwuB5y6bbYLiUM0bMvExUJR7Um1U8zIuF8Pq5nZbjgByXTDyJ7XzVYwnw/9nnOFMI/qbC4sV/vGxTIEgcdsLiyOMJ9XoNku9G4hgUd1HddK4W/YEPz/7oV53K3p+JsXZ/G7zTZmMhL+aLmIfEaC6Qa4UFSwWtNxbSaLfc3GvV0tjHQWMwg4AV9eLuFB3cDVsgJB4KCIHHY1B0v5MAK5kJfBQ0DLdBF4PhaKMpqWj8vVPAqqAgE+1usGShkRV2dyUGQJs3kZa3UTv12vwXFdPKq1Ad/D2r4OgQuwUFTQdsK8slttC59utyHxoY9ZEkXM5VV8vttGTgRs18M/P9jH375cxf/yh01cKEh4uNPGQk7G5zsd1NomLMvA75+20LZs6LqOzaYJzXLw++02KlkZisBhrWHC9sPI8UJOwmfbbWQUAYbj4fdP9xF4Lu5stVCUefzplQo4UcJa08LXFgt4VGvjznYb80UVWVnAWsPAK/N5rFRzaDoeVmYy8H0f600TlYwIywtwZSaDvBoeI9318GI1h/t1A1crWQBhSrF7NR1tw8FOx+qxAyTT2bFzLa3oQzx/c3SujnlN55RuMQtptMwM8T4c9ZpPs0qMmhniOOsjTo/jitzkOTyOeB52DZzlyw8JXYKYIKNcxJO64E/jDTmZLaGoytG62efJbUn+mwmHpECOTxKLbxOLrO12bIALwtn0XVhUmC3bMm3sdCx8dTGcaOT4XJRD1XQDVDMSNNvDZstAx3CiSWs5RYyKBywWM6EIzstheVjPR9sIo6Bty8EnOx2oIoeWbuFCUYHpBfjKYgEfbzRxvZoFx/FoWmH+Xc/3sdsyofAcHjdNgANUAXjS0OD7Phq6Dcvx8OeXy9jsOFAEAZWMjBdm8+i4AQSeQ123YbgegsDDZ7sa1hsWqgoH23HwYLcNywMUiYfAATXNgeF4CDwXm20dVZVDzfRRyuWwVMpgpVrAfFFB2wrwlQtF3NlsYrtl4EIpgzvbGq6U1bBN20FekgFewstzBXxlMY//3/09vL6Qx6fbHVyfz+N+Tcf/+esXoaoKLlZKuFLJQpEkZDMqbBeo5CTw8PBgrw3d9WA4LmzLwR+eNvBfH9ZQzgj4aL2BjuVA5jlYno+1/TDNm+/7UAQOf3VtBn/Y6aAgy7hcVvGf7+2A9308rmu4u9PBfEHFawsF7OguVmbzWCyqWG8YmMmIaJsOOmbY9owiYXXfwMtzObQMGw/2Ori/24RuWLiz1cBmQ0dDt6JzLZnOjp1f8Ze4aBJjyshE2gvesGtzvqAeyo2aHAlJtpHW7kld/+dt5vx5Zhr2Ub/n0qjPqVGea2f18kNClyDOgElc8Cf9hpy8ebOoEiu0MKrHkAlalo+zn5Vhp21ida8DiQN+s7aPF6tZNM0DkaxZ3Ry8XU8uy8mbk8PiDfN5BZfLmWi916o5PG3byMkCOoaLhhkKm+2mGQnezZYRVcj6fKcD3/dRN1zkMyL+sNVGSRIwm5VRN1xU8jK2Og5eXyriXk2HKgkwbA8ZWYAicHhY01DTbDzc11HTTNiuC4HjUcoqWCpmcL+m44+Xi1hrmHjUtPDybA6zOQmf7rRxf6+Dgizg3m4rrHLWsfFfV/ewWBCh2y6qxQw+fNJCELjYadsodaOPigDUOgZ2NBdfWSqj4wl4saLgq4t5+EGYJ9YLePzxlRLWGhZ8z4UX+HhU0/G3L1bxf7+9iQtFGb9cq+Gry3l8aXkGX7lYQcfxoIg8gAAvz+fwuKbjz67N4PaGhv/rH18GeBGvzmeRl3lkZQFfvpDHk6aNrCRB4Dnc2zVgOB7ajgfX9zGXk7Cxb0LgAmiWg0JGwXbHwTcvV8JKbuUsLC+A63N4fbEIURJwv2bg36zM4D8/rKEg8WjpFn6zto+tloGlvIRHdR2P9w18aSGPphVmZMhKYbGPfcvBi7NZmK6PYkbGYlHFQiELThTx5eUKSlkFOUnE430jKjySPOeTIxrV7EG6un4J9+O/H9efy3L8MotQWpqnowjqo0L2g9GY5PD+aTBo/ced2HZezxWajJaAJqMRzzPxSTls8kpy6Db+kGYRsVH8g/HfJSelsehs23DQtH28PJvDetPE60vFnkkWLNcpK9G607FwrRpOJNtpm9EEITapqKwIaFge9G6+XN3xYLsuZDEszHC5oGBLt5GRBKgCB8P2wHdTUy3mZPzicR1fXZ7BbsfEZtPAG5fK+GxHw0uzGazu6dGyGUlAy7Cwo9koyQLu7+pQVQFfWSzBBQfXcREA+P1mG3+9MoMnTQOmF8B2A6gyh5wg4BeP93F9RsFHT9t4Ya6IxbyA//q4gb97aR7/5VEdL8yo+PDJPiSBx1+tzOFhzcSDvRa+fKEIxwe+fKGE3z9pIkAAjhdwoSji/p6G1xYK0K0Aq/sGijLgBhyuVbL41Vodf7pcwH/6bA/fvF7BetPG3726iKbpwrAs7LQs2OBxqZyBYdtomS7m8iryMg/d8bDVdvAnVyvY121sN3WIIo+25aOj2wDnwXACzBezeHEuBzfg4Pk+dMuBLHDwAg5zOQn/bW0ff35lFju6jb+5VsH/+sUusgJQVEV44GC5AXKqhI7lwLAcLJUyaBouKjk5tKjYPgpZGVlJQCUrAgHwpGVhKS/Dcn0sljLRedo2HVRUCU73fPzF6h5emc1D6No3WESejVokxeTdnQ5emc9HNoe1htFz7qkC3y097A+ciJY2UY15dnc7FuYKSuQRHnXIODmpjjhdRt3vZz1Jb9T1j9PPszz/aDLac85ZvzUSzx7xyARLacSGbtn5xL5j4sF2XdiOh4c1bWj78WHhtL8FnkdBlZCVBGhOWNWKrY95e5mPkhUGqGYlaJaLhzUNT/d1aHas+pXA4Yu9MOWU7/tYKKrgeR4iz0MzHVwuyfgvD2soq+G6S1kFeVWCInDgeR6PWxb+aLmI32/sQzNNNAwTP1/dw0vVLH75uIGsKqGkithuG9hsGmjoLnzfx1rTQj4jYEYR0LRcKDyHjaaOtmXjG5eK+KJu4HK1gJmsjKwsICtKqFsu/g+vLuDzuomvLOWRFTk8bTn4mxdm8S+P6/izy2XcqxmQBR7XKln8t/UGBMELMzvUdfzVtVnc3dEwW5CgOy4yIodHdQN/tFTC07aLrY6Jl6oy9gwHK7N5uODwP9+4jJ+vtfDff2kBn213cCEv48FuE3sdAx3bx283Gni5oqCclVHMKJjLq7hYVrGru2gYDhbyIvZ1G7YXoG276BgOZjMClmZU+JzU9UX7yIqhgJxRRGSkcJJfOStju21B4Xnc22shL/P4xZMmvnm9ipwq4VHTguUGMFwPumGhrpkQBA6fbbdwtZzBVtvCvm4jr3D4dKuJhZyItX0DT1oWXp7LwQkQiVwWHS2oEhq2182e4OCV+RzW2hbKWQXzeQVtw0HbcKMJkPF7aE238cp8PororjUMlGWhJ/pqev6hCV9p11g8Uht/+RMEHoulTE9Z4fh1N+i6Sl6/xOkxjrg76yj5qOuPLzfqBLPzfP6R0H2GGGdo5LyecMT5JXlzu1zORLlD07yJ8wUVsijCCcKZ6oN8g0nvYdoy8wUVphfgxWoWT5oWKhkpKhXMbsxrDQM5ORSmOTmM4D2q62ibDmzfxeP9UJzXDAemF2C2W/pX5AM83jfw1cUCihkF1+YK+GLPwDculbDRrbil2x7yqgTd8eC4oSBxPQ6vL5XgQsTLc2X8yeUq1loWXprNoZqVcW9Pw0JGhhv44HjA8QJUcyJWqnkYHocXZ/OoaSaWiip4XkTTdPHKfAFbbQsKz6FlWKjpFuayMv7b4zr+/GoFLdNDORvmAd7THXzjYgG/edLES7NZ5BUJlsfhz6+UMZNVYfk8/u7VJfzicR15AVit6+AAmI6NvCzik20df/vyPDKSgHs1CyLHY1+38FJVxc2Pn+J/+NIibm908FfXqtjWHDRNH3M5GQ3Twx9fKeHOro6tloGCzGOuoKBleChnJIg8j7blYU8zYdo2SqoEwwsgiCIulnP4kyszaDseXqyouHVvDwtZGQ/3dSwXMzAcDzOKBI7n8cJcFjXdgWY6uFgKvdJ13YYqAFstDfuahablwPaAsqrgr1Zmsda2cKWUQVaR8HDfwr9dqeKf7tcwm5WxVJDwuK5H/mt2Xt/d6UCzPVQzYZGRoirB9Tj82ZUZaLYXLWt6fiTQ2ctcvLQ0O8/n8wpM34+KVZhu+G/2YthvCDjpWY9ne2DiNilc2YvbKNlKyGpwuhzlWXvWx2ccUT7OBLPzfP6R0H1GGOeCOs8nHHGyHPflJh5hZQ9k4GAmetIzON+tKDbINxj//07bhITQg5t2Pl+r5tCwXHzj8gwaXQGiijwe1jRsNQ04bmhxeFQPJzGtN01cKMhomC4yoozXFgpYa4QZGDzfh+eHzizLDWflNywXc3kZqsjhjYtFtG0fC8UsuACQ+AB7Whih9Lt5ZnmBh+/5+MqFErKqGKYYK2WwWuugYbr4sysz2NQdXCrncHEmh/mcjLwkYaNl4X/80gI+3W7jaiWHpuXCdD3kZQEfb+yjmhHwmyctSJIA2/Xxh602LhUV3N3W8MdXKvjg8x1cLAqYych40vLw7758AU3TwwtzOWRkCT44zGRkfPVCHv/10R5M28W2ZiAjiLA9YFtzsaeZeH1exf/tozW8NKuiYdi4UJAAcPjnBw38yaUC/umLXfzVtTI+2ergYlECxwEIgLwsYDaXRU6R8LXFPB7WddQ0B5bvY69jIPADcByHiqpAlQR4AYer5Qx0OyzxazgeVmby+NV6C//uSwv49ZMGvnm9il8/aeDVuTws30dOkcAJEl6cy0fp4HTbQ+D76NgeBJ7HQlGF5gT4kwtlWH442fBiKQMPHmodEwsFBb9Z38dfXJ0BL/BYrZu4Usn2RGXvbLaQlzhsNnXc3migLAvQbA8rc3msN0wsFxTsdCxkZSGa+JhTxFhxERuaHb74xTM1sDy7zN+bdt/tN5Od/Z3MWpK8FtlIBitiMur1S5wO5+lZe9R7f9rv+mXRSWOcLB5nBXl0E5xnjy75r4hBpPmq4h5YYPwbUbxNoLeIAyOt/eR6WUEHzXKxutfBxaKKhu1FHsfkOnc6FlSB64oBB6rIhSIIwNOWhSslBS3Lw2xOxuOGgZdnw4lnoYjlsduxwPM8PD/MhrDXtrEyl8dOx4oEi257uFQKZ75/ut2OZv43TBe64+GluTyetizkBA5P2mHaq03Nxr5uoyABG20XL83lsK85uDijYqvjQOQCrNY6WMgp+Hirg//TGxfx8wc1ZARAFng8bJgoyDwsz0c5I+L2ehMvz+dhewGe7Bu4OpvFFzs6XpkV8cEXdbz56gX81ZUZ/MvjfWQlHvd3OshIHLJdq8eTfRM8HDzaN1BQVYgch+22jpIqICfLaDseXqgW8Lhh4FJZBYIAr10oY62uY79jY64oo2P78H0flYyIuulCt3z8+bUi7mwb+KurVXy81YSAAKLAwXYCOL4LzfFxoZiBF3BYKCjhRDLXRV23oVsuPITFNxYLKj6v6fi3K1X8cm0fX18q4uPtNnKKBIFz4Xg8ZIGD7QW4UMrA8gLstTU0TB/XqjlkJQGzORkfP21iKa8g4MKXq4/WG1guhi841a61AgB4eOg4wMWSgrru4molC1XkcXujiYoqIqsIeNK0cGO5FL4QCRx+v9XG376yEJWVDr3gHpYLCjbaVlQemL1ARZlHusUk1hpGFEFO8yoO87EPuq8P8soT4zOtz9Bxvb/JuRhpgYqTFvCTOBbk0Z1CpvECfZ6ZhLVklBRHD2talPFglHX2a5P9W7PDDAot046KMqS1zybYtEw7ypaQU8IiDA7C6G2axaFl2pAAaI4XRpK7IoLneRRVCV+7UMTqvoGFoopiRsaXl0poWB4ulVWoAo+a7mAuF/oul7qpw65Usvh0u43lgoLbG010zLD6Wc1wosIChu2hptt4sNuGInC4t9PBYk7GbzcbeONiEb9ab+C1hQIuz+Sw0Xbxra8uww04XKlm4fgcLhQVuAGHpuHiQa2DpbyI//j7DVwuqdgzXOwZNl6dL2ChoCAjiVjbN3F9NoOa7qCUkZBXBWw1Dbwwl8OjfR9fv1LFXF7B//bFTleAeRAEDqs1DVtNG+WMiGJGxK7uwXYC8PDRsizYtgPL5+CCQ1O38evVLew2NeiWBcMFtlsmFN7Hw/0WPt/pIAhcXCsr+O3TNooyh4LM4fZ6Cxx8fLbTgO8HKCoiapqNhXIWs4UcLpVyeFTXIHM+1vc7yIrAH7Y6yCsSDNfDbFYCeAG6F2A2J+NfHu7hYlHF7c0mFgsKapqF7aaFhuGgYznwfB9bLR2fbjbhucBsVoTphC8yphugkpEBDnjaMFDr2PiLqzNo2z5apou8HFZIU0QOtU6Ybq1tuJD4ADsdCzXdxjcuz6DQLQt9Y7mEuzsdPKpr+GyrhRcrKv7x7jZUkUNNd+B5PqpZqUfkhpXRBKgCj0d1HS3DhiryoY89I6FlHJQXTvoWPd+HxB0I3jisTHA/kiMrxNGZZkvfOJHl5FyMtPSQpyFyT/NYkNAliDNgEhf6oGFR9u+abuNyOQPT9Q/l7Ewjnis0rU0A0Yzxohr+nWyf9QsABIGHwIcZEuLtJT2K8YhwUZUhy2GBBfaA3+3YqGZDQbPeMPE1Vv7XDm/WzD4ReSy9g6jz5XIG600TX10s4OOtMHK71dSx2dJxd7sFRfDx84d1VHMydtoWygqPRzUNS0UFv1yr4y+uVPGLh/v4ylIe//GTpygpAv5ouYhb93bx8lwOmu1Bdzw0uyL51YUsOg6guwEulVT8dqOBnBRGpLc7FqyuLSIvCTAd4OuXyhA5HotFFXmFhwRgsaziaxeKuLfTATjgs+0WPnnawpN9HZLgYyYn4knDxnJRQUaW8MpiDoIgYqmQRSmnoJxRUFIFFGQOHi9ivqSibQN/ermMa9Uc/stqHa4bQBUD1DQXtzc1/JvrM2iZPiRJQF6VIfEcfvmwjv2Ohd88aWEhJ6HWMTGflfGwrmGxIOPOto5qPoP/5ydbeGlWwtq+gaWiil3NQU0zsdHQ8bjWxpO6jkf7GmbzKh7WNYhcAEUWoYg8+IBD2/Lwq0d1vDyrYkt3kJfDiX665WFtX0NBFrCjOXh9sQBe4LHZcWA6HlbKKj7ZauJCQca+4aKYlfHibBbNrvVBFTmoAh9lOmBe247pYD4jwgGHe3UT10oZtM1ujuVuTt35vNJT7CSsUBa+ULHsCteqOZieH53n7ByOvxwWVRlOcDiiy0r7pglgxrRGIM+C07YZnLagPuqEuLTfjbOPxpk71K8PJw1ZFxKcZ+sCMV1M4iE2Shtpy/T7jEWpmHhNG4pN/pvZEuKwVF8AoqHXeEqluKVBFcM0YUvFTOq2sKpsT9vd0r+OG1U+K8tCdya9EKZn0sLIW4DQ1rhYzIRiWBax07EAAI7j4mk7/HdOkWBZDhwAM6qIp20L9Y6JF+eLqOs2XpvP46ONJpZLGdzdbuDVhQI222GU7kpZheYCRZmH5QX4w2YDVys5fL7Txh8tl/HpdgsZSYTIBdjVHbR1G4vlDESOg2a7aOgOXloo4uJMDr7vw/ICfLzRwKWygo7lYm3fwouVDD7ZaqBjeai3dVQLWWQVAQIv4YW5DPKiABfAas3AbF7GdsvEvm5C6ab6CuAjI4koyhJURcBcXsZnWxrahoYnDRNFVcafXquCA6BZPjbaFv6HLy/i3m4Hf9hsYLtl4WJBAi9KmCtkcGUmg7V9AyIfoKF7+MaVEv51dR+vzKv4eLODv3lpEY/rOjabOioZARttB67vIy/x+OryDJqWh5LKY7djo657+Oa1Ch7U2+jYPnTDguUL+Ps/uoA7m21cKGfA8zyeNjpoWy5eXijD93xkZAGa5SAA8LiuR5kK/uJqBWsNA77nd/dROIksbpvRbDc6T1gmhcf7BnKSgLwqRZXx2PmcZv1h/97pWJjPK2gZdvTgHpRWLI2dtjnQ0nCWqaiIo/OsHLvjPIPYdTDpdGXjQNYFgjjnTOKCH6WNfoI2+SYeDZPGZp0nl0+KXM/3I1tCT/sCj5YRZmyIT2Rj37cMGy0z/H9Nd6LZ8Oz7nn7JYWaHuXyYTQH/f/b+rMmu7L7uRX+rb3effSZ6oKpYHYtFUhJFWbZs0nb4nHN97vGRFTfufbX0DazQJ1DI30D0y3m5D5YYx8dhnyvbpCyKIim21aMKQCEBZJ+5+71X3811H1buXYkkUAUUwSoUmSMiA8jMtddembnmXGP+5/iPcbw071gau9MYU6kaz7bHEaYsE6QFu+OIoii5NwwrmUWUzo8bxTlJUbLmmiw4Oi3XZMGu9J6FELy40uTQS1hvWGxNEtrHPq1FKbM7SdEVCVUq2ez7WJrCMKxI09UFm61RxG9f7PB3d4ZcapskeaVljbIS21AJkgJH1xhFOQuOysE04k7fJ05T3t4dokqCH9wZMQpiLLXktb0x6y2HIBcsNgxKScY2dL647qBQMskEpqbg6DJlkTOJYnp+ZcclRKUZTrOcXhAhCcEbO2NUKWdnFNI0NRZdi/1pyigq2J9GvLBk8L07I1ZqJq6qcm3B5r1+wrUFh1zAvWFAmOZkhWCjbXPgZfyDyy1udGO+cqFDP4iZRDEdR+dOP8RUJBQJWrbONCl4ZsFmf5ox9FNeWXG4NQg4365hayqSIvPCao13Dj1co9JX708ioiRHlSXyPCfKC6KsgFIiKcqK5JaCml753Dq6gm0o9Py0StYDpnE2t78zFXke73yx7bA7SdCkkhJwdKWSIBTivnt9dp8XhZifp+snrNga7x55H1SAT9mKPYo12ElCfXL8nByPnwRR+lXczv808Wk2qX0S7kwnd+0e167s08AZ0T3DGX7N8FGTzmwCO3387HsnH8QzWcLpcw2ibO51O5czKBV5CdIcJAjTAlOVWXINxknB+ab1c1ZKswm156doEnhxduzvqxEXYq7TjfOSzy3V0PSqktc0Va4fTWlbKtvDCEWRiYuSKC0I4gypLLg18BDHEgdDrdraW4bGm4cTDEWw1fcY+DGjIOKnOyMuNg22hgFpnpMVJY6uE2UFDVNl0TUZBgW/c6HDt9/v87+/vML370642HHohRlX2gaTKKMUJfvTiOcWba4fhTQMmTjNeK8bkpclN46mvLDqEuUyuqpysWMzDDO+sFYnSuEL63WuLTjcm2S0aw6mqnDzaIqhyLzXC6CUWbR16rbJ+XaNOJdYazrUdZ3DIGO1YWLpBi+uL+BaJmmZo5QFWZ6hazJbo4QvbDR4fXeKY+lMEsG/emmJNw6mtEyFUZhwb+DjJSXLrk7T0jjwMv7555ZIipJJlLHkGEzigmdXmjRtDVtVkWWV51fqDIOMlqXQdFRuDEJeWKkzDlNGUYpcKoyjSq975Cfc7PosORqOpdNyqupu01QpAddQeW7JRZFlBDJeKjjXMPHijGGYEyQZcZrys90xkyghSwvuDUMGUUbtOBbaVCXaVmX5VjO1uQQlzIq5Dn1WBVZkmUGU0TSU+QLuzjjm1fUGcfGBzdiDrMEeRCZ+bmF4wpXk9Bg7jUclJg+SRDysw/5XVbv6aeLTIHUPu98ehEclnx/mCDKT5zwKPs3K9hnRPcMZfg3xsEnnYZPfw3wSZ18/SUxnYQ1hUtxX7Y0LgSLLLNVM6qbOSv0Dc/y5RZmucm8Uzu3DZjrjc02T28OIKC1omSo743juWzpzUtiZxCy5Bn6csTOJWHQ1vntnwIqrzzW+JZVcwTU0ZLlKsvLjjFGUM4lz7o4CFl0DL8rxMoGhKViagq2rjBPBi8t1vCRHVVWuLVWSg7QoibKC5brB97YG/NOrbf7Pd464tmCR5wWyLJMf61BrloqmSOxPU/63l9c49DNkSaJuqoSZ4KWlBtujhCttC0tXaZoafpzjpYKmU2lfDycJiiT4m5uHvLc/4m5vwt9v9Vl2DUqppOMaXF1wibKSf3S5zTsHE1S1RBYltipz5MW0LAVVLlmyNMapwE9L1uoWF9ou//mdfShiplGMo2sc+gWX2i47k4TeNMHVYRwn3O77pGlGkObc7oc0DJUlRyfIBauugW1I2LrOSsPA0mAc5/SjjCQXaJLCMwsu7x5OeXt/xNHY4+5oSpRlHIwjtoYhhlLy7tGUmqFxtWPTcXQUWSbOqvS69/shjirhpxl1TeZmP8BQJAZhiizLHHjJ8f2RcXcSkWUFmlRyo+vTttTKszfKeWbRpR+kNA1l7uwBQFlVbjWOXUNcg30vZRjlNA0FW1fmDg0P0srPtL2nwyFOE8uTC8mZi8PD8Kik9EH634/ayXmat9ifRjxtC4MgeXBs9IfhUUjuw+63z9L9ckZ0z3CGMzy0oe00HlZhOtnFqygydUuvutwVmSCtnBRMVZ4HQMzO5Rw/jGdfe/fII8sKRkHE9YMpUDWidf2EtqnSsisdbduutJezZrsbXZ+GIfOz3TF1QyErSpK85AtrDa73/DkpWXR1Li04NCyDqx2b24OQtMjZHYb0/ZAsLxgGMZIkUzcrIv3WQcDLKzUcQ6MfpoRpzpKt8/dbI3RF4tBLmIYJQZphqTI3ByHXFl2KsmR3EnO+abI7ivnCmsNPdsas1g1MXcHQNX7n8iKCEj9J+dJGg4Mw57kFm1u9CapUcv0oYKOh8t7BmGVXpTeNGccJm32fKE+5OwyRFAVXlzn0YjYaFpKs0jA1DFXiP10/4jfONxmEBZom8/4w5lzT4MaRR81QSUuV55dcLKWkEIJ7o5jfOl9nc5TipbBe17jRnSKKgrYpsVQ3CXOJy20HkHn70MePU7YGPm8dTLENjXMtF1kFuZR4frVBlJUEccZmd4ooMvJCIMkSXpIjSSUKMqWssFp3kCSFUZRTM1TGUeW6MAxTbvV8FFlm30uI04x7fY+aLnNvGOAaGqUEC47OW4cejlqR3UIIbnanIAr6XkgplVzvBmhSySjMCdOCVVfjejfg1fXKuWO5bs5dPuaNjaIiodMopWFUKW87k5iOXclt1msG2+NoHk8NH8T8nvz3ozrdoUpg61javJp8epw9KimtGufu185/2Gs/S6TlacDTWAX/ZTh0/Kosgs6I7hnO8GuOB03ajzOBP6yLt2Pr8y1g4NgPV57bks22atM858fbQ+70fVZrGv04x9V12rbKT7ZHLDsqUVJQszQmieDZJbeqFh9LLAZhiq0r7IwjmqbKNC34yoU2K/Wq+/5q20aT4EbXn1/zoqsTJpVvbk3XcW2dhqlj6Rovr7Xw0oKmqfL39wb87qUmf3XzCC9KyEWBF6W8vldd1/X9MboiEaQZ390cseBo9PwEV5PRJYXluskbexOW6wbvDxJ+71KL//pel+eXbN49nHBvGLI/SVhxq2aur15s0Y8zHE1jEGRcaJl0fcHzqw22xhlXlx0OpgmiLOlNU5brOgKZpqXjRynDMGPBUXj30GN7OKVpSHzndg9bl9EkgSGXvL03QVMk9sYhcZpRMyudMpJCy1B5c9/nYtti0Vb5/p0BTVNiFBestWrULZPPrdTxkxw/TAjimJuHHn6S4kUxcVrQsnU0SUaSJSxN4VzDRJIkWrbOSsMhyqFl6rimiqMotFydS51aRTbDFE0uSLICU1fJipIgyuh5Aa/vjqjrMtvjEMfU6AYZL602SIqSAy+hH6S0TJVxlOEaGht1u7qXM0FdV/FSQcNUUaSSfT+hbam8uT/hUrOK9L3UceZ6W1OR5wuzuqlXuxBW5Z7g6Ao1s7Iqq2Q31VhpGlXIxIzcziq6s52K02PkQfIF+MCp5CS5OL2YfBQ8iPB81gnL04KnlQD+Mq7nQT0enzWcEd0znOFTxi9qMfaLHnt60n5YteLDPj/9UD65HQugyDKXOg6KLFM39fse5HuThJVjYpDkJb9zqcNay5p7nt4dJ1xedAnSgs+v1BiGOTVLqzxPhcCLMrw4I0wLpGMbJ0WRMVSJjYaBpqncGUUsmirbo4hpnNHzU/b9uNKDhilNU6VhaFxecBnHOV9eb3CrH/LPnl3k5iDi82sNdEUiExIvr7V5cb1FmINpqPipIMkE1zoG//e7h7QtlVv9AEWr9LNFnjOOYs61bP5+Z8rvXW3z/33tgFtHE76/uc84DPne3SGWLHj7YEwpSry0wE8zpkmKn+b4UUpdl3h7b8qVtsFmLyQrBFFWsF63yIXMasNiECbc7geM4oylmo2XlqzWdcJUkBQyR16Ca2oEiWAQZLQsiZ/tTlirmQyClFFYNZtRKkzSnAsLNdKsxDFUdEXC1qEfJDRtHQHomkLbNYiFTM3SOfBTDEWiEgCU7E8iYiFYrJm8uNrg7jDiC2s1/DQjL0r2/ZS1hknT1NieJry0WkdWVBxTo24oTJMCRZWRSgVTU7g7DLnYdqCESy2T28MQqSz4wWaXG0dj9icRiSjp2Dr9OOc3NloUpcTVRRdLU7jQtOhHBS+v1NidJlxbdImLkiXXuC/uNy5E1SR5vFib3eOOrmAoMkIIun5CcazxPt+0eH8Q0rG1Yy/nDwIeTqannRwjJ313Z1KHjq3P3+thdkxPI9F4Gq/pl42njeR+EngaK9mPgjOie4YzfIp4Ep2vH/Xa2cP0ozLLT/7/o6JMH9T0cPp9grRqQKPkvmYdx1DnEoaOrXOp49CLc841LWqmxsxnd6ZvfHW9QZDmCCF4fxByrmlSFIIjL6bvpSDBMEhpO1WogBCCrVGEqcjzzvtrCzbjOGMc5/SmMUfTkN2Rz85xc1nfj0mFYMHRsTSFnWlCxzHQFZXfvbLIJM5RJIXVuknTNenYOmVRORo4ukws4O4woaYrvHlQVVJHYYKpStzqh9RNnTDLWbAUvndvzGpNpz/1SQsJTVFZb9pkJfT8DNuQSQtBy9Lp+5U++dBLMDSZF9cbvHEQcKld+dxuDmLqpkyJRJQJsjxnd+BxNPLYHccs1y3CuGClpnOn71HTBGmWkomSz63V+dGuz1fO13i362EqsNkL8OOcnh/i6jJeUqDpMjLV73QS5DyzUENVFC4tOtRNg6apocsFR15Mx5T53p0ewyDj3iBgZ1hJG6JM8L27A1ZchR9tT5BliYNphCYJXt8ZMwpjFm2FXpCy6Bqs1C28KKUUOaMwxTYU7vZ9Fm2NopRYrJkoksyFlsNbBz4Xmjo3j3wyIeh5IZu9CVmec3sY8E+vLdKLiuPGsZJz9SoZr2WpZELiyoILMLfWm923HVvjRtenY+tzt4WlmklWgq0pmKpEkB3rz3PBxbb9QXOm/oEk56G6yfKEvd6xzdhscfig8Tpv6nzKiMbTeE1neHJ42ILr9PeeZpwR3TOc4VPEL7IF9iivnT+E0vyx3udBzWgn7cFOP7xP283M4lEHUUbd0u/3Hz1ulJldU5AWXG6bx44Mxfw9Zw//QZgSpAUqEGZVEMDuNGHV1RlEVXPQ51fr6KqKa1b6xoYhV1VcR6dja+xOEmRFZsmpkrvGcU7L0FFVGVWWadk651oOP90ZI4uC13eGLFsKt4chXS9GFoIbPY8kTdkZBbx3MGacpBxMU7ZGIbokAEFWFOiSjKaq2JrKra7HxY7F/qSyrdoaBRgy+HHOWqvOkmvzhY0WL67W6PoJlxcs3tr3ubZgM00E15ZcdFVlrWERZzCNcq60LcZR1Uj1uUWdH94bsWjLBGmGLKn0I4Eky0RJjq3LLDdsbnQD/t9f3kBWTSapzG9dbHI4SfgnV9p89+6YmqljaDKKprDgKgyinHGQsV7TKQVEx41cUZ6xM05YsivN83rTRlVlQOZCy+Wnu1NcXSHJClRZ4t4gYHcUV383qeT7d4f0gpgoqyzDTF1BU1Tqls6Rn+MaClle4BgasZDo+Tl1Q2FnknCxZdINKru3QgjeOphwOA352rUFgkLlXzy/QsM0UKXK17hpaDiGxjgt+OJG81hCoLA1DhBC0PPiiqym1aLs3jBEHNvlzSq6zy25fP/ekPWawfWDaVV91RXqlj7fmZiNr9m/AAfTiDQt5vf4aRnBTMvu6B9Uck/6ks7G0YPG4dO2Zf5xrumzQpB+FfGw3/2jOnLM/s6P4/DwaeOM6J7hDJ8QHqWa+rh4FP/Ck1uiH3YdH4bZhFcU4oEP79MPu1n3+PmmNX/9NE4JjhtkZo0yFUGQOPAyNFWlY2lz7a4mwd1BME+sujOOaOgK94ZhFePaD7nacTAUiXFacLFts+QaZEIizkvWawaKIvPG/rSK+M0KVFnGNjTatk6nZnBtoU7b0lGkqkv/Nzbq/PXtAWtNk//47hEbjer6rx95NEyVSVJwbxjwfm/KZs+nZiikWSU1aLsWNcvgpfUGQSYogdWawZ1ewEZT584gZKVukeWClaaFoap85VKT24OQv3qvSxCnvHvoc7Vt8P17Q2pGVQ3304KmVXnlUpbcG/qUlDy3aHPoCV5abzFOCkxdJswSrixalEhcXXLp+QlHfsw/e6bF//V2l1IIfvOcw/+41aflaPSDDFMFV5MIU8GXNloEmcTLqy6SorDcsPnNC4vULR0vrcjrMIr54daQUpRkec4gSMiznAMv5tkli91xyCjO8NMSQ5PRZEhzwe4oJs1ysjTmYJJQMzSGkeC3LzSYRDmmJnG7F9CxNN47nHK+rpHnBXuTiKsLNpNE8MpGB1tTeHtvDGXB3b7POM75+rPLXOo4LNRMXt1osVy30VSFjUYlSZjGVUNjz69CQLpBhmNoUFY+u+8eTgmSjH6QzlP1zjctXtub8FvnmvzVzS4NQ+HH28MqztdPPhh7xzsWc8Ka5kRpwSjKcPSft1+a7XwAH0glTsVsn7RtepBLwtOGxyW5nxWC9KuGD5OlPY4jx8dxePg0cUZ0z3CGTwCf5OR++j1OGtl/1HU8TIc788yNC3EfaT59zOzfeTzq7H3THFOW56EQjv6BEf/RJGHVreJ9qexs6fkpcS4I04I0LfDjjAVbJ0zzyht3HPHyao0Dv0pLAygKweE0wlAlpBK8JGNrFPHltTo/3p1wte0gyzKOqtAwVWRZRp7pLYOYqx2b1w881ho67/c8FkyFH97r8e7hlLopkxSCnVGCLskceRGWprA1jgiyDAVI8wIEvHvg0bFk3jvyWG7YvHq+zdYo5uvPLBDlEl++2KZta3x+o8l/fPuA7cGErd6YrYHH4TRme5KwWjMJ06zSpDZNgkxirWnjWjorDYuSEhSZi22LKKn0rlEKG00XSnhuqckgSFm0NVQZ/s+3jlhyNRRZ8IMtj+WaihCVK8SSazCKCoqiIBOw2jC53Quo6dD1U/rHgR5JJioCnxc0TZ0gq3S+cZoT5wXrDZtcyAzDnEstnSTPmUQpQQ7LjsG5lkmUCZBV2rZOL4j5/GqNd3sBaw0LU5aoWyqhkPhfnl/BzyUcU6fjGEzjnOeXatX9lhU8t+IyigXPLNfYn0Sca5rsTqp76zCoEs86rs77/RBVgh/eHZIdywx2vYzfu7rAoqvPvZVrusLtgU/r2E93tlB7dtHhhztjvrjW4K3DKdc6Dm8f+XPP51n1dya3mUkPWraKrSt0/eQ+W7EZ6Z5pe2dE4bR06GFWZJ8Ufpnv9zRWpT+L+LA5/FH7MT7q67PvPew8T9Lh4ZeJM6J7hjOcwi9jkv+kJvcPW5l/1HWcfu19etvjhpnT3eMPc2w47cCwVDMZpx+EQsy2Z+umzlrLIiulebPavWHIsqPy/iDkYttmmlW2T5cXXBqOUUkhdIWiKLnQsshKKlJdVMRYAvb9hEGYcqFlcWcc8zuXOijHoRBIcOglrNVMdkYBu9OIlqHx050xErBcM1is2QgJGqZGSYmuquyPI863VO6OfdbqLpqq8Pxy5QCx56UIIchFjqnLfPtWn5dXLPYmKS1bZ6Nu8KOtCdcWbY78jI2Gw1v7U9ZrGm/u+xSSgmMafHGjQcfWiQrBoZ9zoW3z3Ts9+l7MzsinpisEiWClbjJNBF0v4VZ3SpAkmGrJkZ9Q11VGccyljs04ESjItB0NL87RZIVnl2pkucTAi2haCt0g41bfg1KwO4kJk5SkKNkZxgz9kN2xx2bPp2mrZAJarsE0FTRMjY6rMk0KLi64TOOc/WnMP77aYW9S3TMtS2XR1hjEGbd6AV/caAEy3SDFkGRe25twsW2z0XLoRzlNXaFmqNw4mlZpZCIjyQp0ReJ232drFOBoCu8c+vzPL6wyigq+stHiP769j1wK3t7rkxc5W6OI3jTGUCT2vZiGqfLmwYQsyzEUiTivPJ3bVrXg2Z0m/Ob5NodBypJrVM1kx3HA1zo2twcBX1hvcOCnfPViuyKougrSB4u2GZZqJrqqIisymlxW1WQvnqerAfOq8UnJwmzsnHZY+LB541GdUh63afWXTa5/nUnuL/p7/bCeiyCpfMwfZE/3Ue/9uH+Tz9LfUCrLsvzow3598KjZyWf41cRsAvksVxw+zILo9Pce5XOotlhnW7Mnq8MP6gIvhJi7Kjzs/CerwPdVxnSVaZxys+tX29WxoKErZFRJas8tufOq2cE0YrVuEaQ5Pb+yGBuHCe8deSy4GoYkE5cSDVNl+bjyoMklO6OIEni/H7DsqOxOEmxdRUZwu+tjmzqvnmsx8GIkReZC0+LHOyNcTebOMGKtbmBqCs+tNPkft7r0PJ+Nhk0/yGlalWOAQlUt/e2LLX62O+Fuz+N822Fr4LPSsDA0jfNNk794fYdVRyWXZK4sNliqmdwdBtRVibqj8trOlIYOXT9ntWkQ5xKTMKXnBbQck6zIkSUFS9e52LLIhMBLM1Zdm1GSYSgKozCkECWKrNCwdDqOzs4wYBznyBK4hoYqCfpewkq7hi4Jen5aEUFHJ81zTN2kKHIWHY07o4jfPN8ESeadA5/nFg1e3w95YdliZxgwSuHltSamJPjR9pjlmsVa02Dox7y17/PKusuRl5KKgtWGja2qLDdsVEruDgMEMkuOQpCVZHmBqWu4hkyY5pxvWbx3FPDljRq3Bgm/e2WB7272+X++uMp/v9VDFgI/F/zGhQ5yWXCjF9A63oFoGhrvdae8sl7Hz+BCy+J212MUpay4Bt0gY6VuUDc0bF1BUarF2I2uz0tLLrdHERsNo7q3j5srgzTH0VUKUWl6zzet+8bHNE7nISkP0jmeHB8n556Tx3zYOD95/MPmrY8zp33YHHKGj49H+Vt81Px98m8+w4Pm7AfdB0UhQOLn7Os+q3hUvnZW0T3DGU7g09hWe9KVk4+aJD9sW/Tka0+mKs22qWa/m9ONCLNqVZDmzKKlZg/6Wff5gwjx7Dy9IKEQVWc+JVxoOyiSzKKrV3rPOGPZVnltbzKXQjjHet139iYEcczWMGBvUumCNUXlMMjQpJLN7pjD47SpSSyYpoJhmNK2NXpeRs2oYoNv90MkqWRvHHDnuMve0hS8tGClZqLJEoZSBUm0rSr+d9lVidKc9wchazWNfS9GVyRapsZvXVpge5LSMDQutm2uHwU4hszdYYiuwM4k5d989SqTvCK5liZzMA1RyOmFGbuTnH90bZFSUllrOQzDgmkYMwpjapZB3dLo+QXLdZ2Fmo6f5URZRsvSGcYpEoJpFOIlAj8pSPMCVYbrB1NcUyMrBBfbFooiM00KWq5VNfVpOg1L5XLbZRRl+EnONIzZaJm8d+TzT68tM4pLmpbOq+s13u8lvLLe4MgXbA4jnl2w2B4G/HBnhKJIrDRUBmHBzW7Ab15qcXuYcL7jsNpwARk/Tel6IXdGQRUiQc5mP6Rt65h6JTOpGSprDZukkPnatWV+sOXx+dUaf7fZZ9FW+e7dIUs1g1GS8sKywyBM6UUFi46GrlSV/GlW8MVzTe6NYq62rcqRQ4K2ZZAjcb7tsOgYxEVJL6jkBUfTmOcXbX68N6FtqnhRZU1XCHF/CEqa07G1+1LQHEOde/DOd0QeIFM4+f+HkdyHzREP0vaexkyn/zhz2q8CCXoa8SgV+o9yxzn5+gdVb0/fYye//iCP5ieFp1lzfUZ0z3CGU/ikSe4npcE7/cD7sEm368WkacHhNJpvt56sxhaFmLswQBUGMavIKoo8J6NFIfDijGmcMo0q8hAk+X2EWJFlaqbGG3sTLjd03tifsORWEgWoEq+W6yZHYc6r640PSHZa4CcZpi4zCAsutB0W3crYX5Fl/ukzi7x14KEoCt0wxY8ysjwnTVOGfoKjKUSixFZVZKnk2UWXm72IJVtlZxiQiAJVqrxgL7VtglzwylqdAy/D0hRe3xkR5ZXB/5JjsjmOWKvpHE1ikuONstWaRg68uT/lfMtge1z54d48mvL8ksn/8eNtXlg2ePdwQpTmXN+fsN0P6AcJLVPmpzsjbF3GixIaloqXFlWTVdslSOH3rra40U+QEYRJRpaXDMMcQ5Hx45ztYcJG3abysih5vxew5qr0/JTfudxhksBa3cRSJSirLfWNpknDMHi3O6VpqqS5IMoy3tiZ8A8ud/i/rh/QNhXirOC9o4A0T+n7IeMoYclW+ZvbQ7wwYjiNKYucn2yNqyZEV+a7t3ts1FVuHPk8v+yiKzINs0oisxSFjqsTZfD8iksqSl5crZOXgjwvcQ0NTZEYRCm/fbHJ9+6OkCnp+jGbPQ8/SmjbBm8c+NR1mVGYsuRavHPooUolQZIxjHLOtyqdra0rLNdMVpoWL642eGG1jq5V0b5tSyMuSi4vuBwFOS+v1kCCUZwfxwcL4rycLwAVWb6vcnt6QTm770/jQV8rCvGR0b0nXU5Ojs0HnXvWOPQ0E5HPKj7O7/TDni+PUmg5OX8/LnF9GAn+RfFp9qA8Cs6I7hnO8Cnik6wgP+iB97D3dXQVRZWqBKjjGN+5wf3cSqmgEOLYDxWOpvE8BW0GXVNZqVuVFZMiz7eDTVVmcBz0MNv+/eqlDncmKRsNa14l8+IMpKo5bdGtGoRmOuEkL2mZKmlRstG0CNOC9ZrJOM653LT477d6fOVcnbvDiAtNE0OT2BrHSLKMLEuM45xLLZNumJDkBdePPP7h1Q6hkFlvWnRcm7ujmK9eaPPmwZTfurjIMM653Db56/d7rLrwN7eOsBUFx1C42LIZRQUbTZuGpfN+12caprzf9Vitqdw69KjrMqZucHWxzv/xkz2e7Sj8j1sj1ms6r+1OaJoqORKaBG/tTUnSnP1x1fi2PYxomhqqLHE4DqlpJX/z/oBzrk53GhPnAj8r8MKYze6Urpew5Kq82/NYdDSirCAtSpJS4vnVJrqq8o+vLTCNcm4PYgwNbh35TOOcd46mnK+b7I1jklxiEmWYhsK3b/WgSPjmG1t8784AWRKcazlMYoGlKaQlXFu08VJB3dHJkWmYGrkoGEWCz600uHHo0bQUfnB3RMtW8TPBWt2iaWus1S3WGyaHfsbnV+vsTVIaukpYFLyxN8GUq2r8oZdwqWWSlyWZkLncMnl9b8okzmgaMv/p7V1amsI339pn0Vb49s0eOyOf3VHA0SSiLDKuH4wJ0gJHV+bjYGsU0bG140WbQpDm2LoCJciyzPmmRZgVBGlB01A4nMb3ac67Xjwf0/Mxk+YgcV/89Ww8PogAB1nl43tyC/pBkcEnq8cPI8Kndb5nZPfJ4ZdF7h638v40VN+f1HPso5qkP+7v/IzonuEMnzI+qW2kx5mMTm67Avd5hFb2YMW8eUyRZbISLrTs+6QNzZn28Ph1R5N4/n/KSnM7DlMOp1X1SpFlnll0qR8TiKPjZqL3+yFyKbjd87jT93jnYIIXZ4hCsDkIKQFDlTAViWGcsV436AcJL642uDOK+V9fWGGaCg79jM8tuMRpQZBVMbOUlUesIclYmswoyllv2vzW+Rb745CNusqf/vVNztd13twbYchV5fPKostf3Rjxz59bYJLkqIrMSs1gqWZwq+ezN66CHN7thjy/VEfTDJ5ZqbNSt6hZOooMX73U4t4g4YW1OjcGMa4uIykwTkqSXJALgRemZKXEoZ9yqVU1gS3VdKI0Z28Ss9q0CbMMSVIoS4kSiSQvMVWFmqGxM0lZdlR6Xg7IPNvRCbICCYEE3Ox63OlXOuAfbA6J05ifbQ0pi5zX9qeoMuyMAwZBxOEoQtcU7gwSsqJkd+QjyhI/g8+v1PGiGAkJW9MoRYkElMgIkZNkGXVbZxjlXFxwGXgxaZHz95s9mqZCmBeYmsKdQYStyyglvH04QVckDv2EJBE8u2jxvbtjnl2qc67lME1zXlltcmnBxcsFazWdUZixOYh4dqnG394b8Oq6y/u9AEuTECW0bJ2daUQpKWzUbYZhOpfQfHezz+faFn+/NUKRKyu9/XHIJEwIs6omHhcli05VgX77yOdcw6y8n8vKcqx5fO+fHDOV9ViGqchziz2ojp8R4NPjbrYgPPn10+N7tmh9GBF+UOTwma3Xk8Ovi3vEo94vT4LkfpT12cf9nZ81o53CWTPaGT7r+GU01M1X1McP7llzGkDTUNnzEpZc477GmpmVmCaX3BnGtE2JIIUX1xrzc93uefN44Nm27+x1HUtjEGUsuQYH04jNQciCpTCJc2RZRlckgiTD1XXqtl5V3gBHVziaxiy4OkFaMIqqTntTlrk9CjiaxuhSia6rjKKcL641+Nn+hN2BR1bC715dQpZl9sYhm70p6zWTwyDl5bUGwzBBU1QKUXnKvnng8/Kqy6Jr8qOtKmwiyBI0RaduyJTI2IYCksytrkeeZ7y03mJnXIUoXOk47I1D7nVHjOMS0zRYsUv6EXhxRtMxQAjqZuVu8Nyiw76XosmCIz+jEBXJH4UpTUNhnAgkSeJy28Q2dQ5HAYpcVZwFVUxw3dQRonJIMFSF/iTi9b0x5ztVtG5UlFyoq/iZTJGnHExChKxyqeOiyRJpXpAj4Wolpazwrz5/jv/23hHnGjqHfkIpqRwMptiqzGrb5tBLaFgGMgJXUxmnBZoiMw0TVhsmC7UqUUyTStI8ZxAJVmo6gzDjSttiFGcsuBb9IOWlZZsMlYEf8/xKjRvdgEttmwMvYXfko8gSEiVFKfPqWpO7owDb0GgaKlFecOQl/IPzTd4+1gCvujrDKEMqwdAk3usG/O7FNsM4Q5Yr67kSSPKSNVdndxoTF+WxHZ7EJClYdCuJzVLN5O4gYMk1Phg3s2a1QjCIKpu22Q6JBuz7lRXa3MWB+0npySjh2bh6UCPb44zjX3VidoYnh0+6Ofth9+fDvn7WjHaGM/ya4lFXvY9qTTQ7Z5Dm80SzmQODo1ckdxYMMWs8K4TAVCX8OCNMBOeaFv2g4Hz7OEDiuIrlGhqGLHE0jfnJ9mgufThJcqsql8bXri0S5ODoGpamoKkqmqrimJVnqSaXHI4jen7KgquzO6nIt60ptE2N60dTWqbKoqNzFGRM44znlxze7U0RomQUhPhxzDu7Y97cHbPsKkhU8b5tp9JhyhLcHYRIlLy+O+bV1RquoXH90OM3NlyCQjBJCmJRkpUyhq5y89Djje1Kt3qnH/B37/e5158QRQlbo5BpnKNrOk1Hp2OrIGkoisKqUzW6tW0FSYIlV6MfpVxsu3ipoBAlTUOiP41Za1i8PwiIopiaLvHeUYil6by03sA9riC7Rsm7hxOOpiHfunmEF6dsdie8P/BZcFS2hx6Hk5CWAQdBCQgkRWWhZqKrModeQlFk+LlgvWWjKSqrrsF/enuPf/niIq/v+6zWbJqGyuXFGo5rY+omv3G+TdPUkWWVSAg0RSbPCxq2jiSpLLoml5om3SAFJFxdoeslXFsweWPfY7VmMgoTNFliGBXcHfisuRr/+foRNV3mTm+CF1WLI1FKXGnXWK1X7hWX2jZNU2WcVJrwL200eaPrs1ozaJsqd0YRNVOjlCBMBF+52GacFvNFU83UWK1bvLBa5/aoig02FYmslMhKWHR1ND5orOxYWqVHj9P709KkagE20687ukosqtjgQZhW1d6o0rHPHuqzMXaymfNkxevjEI+TJPkMZziJX3QX8EngoVK6X/D9zyq6p3BW0T3DrwNO29TMLMHgwyeVWSzv7BwzmYKjf0CEx0k+/9xUZHYmMRfbNkUh5v6haVagyBJxUXLjqEqlutSxyYXEgq3PgyMWHWNODq4fTDFViXvDAFGU5MCqW9k9LTdMXt+bYKtQlBJRWnB5ofKsvbZg89ZBpY+9OwwpSkGSCMI8R1dVFh2NMCu4fjhFlRTqlsIzCw7f2Rzw+dUa7/cCvrBe4/1hiqtC3db4ydYISwPHNLi8UKNlKryxN2VvGuMolS5TlmWyAoIkRULiaBqh6Cot08BUYBKluJbOc4sOrx8ErNX1qooXpIRZiaFAw9JZcE1yAcMwxFYVkCTKAu6OpmSlwvPLDt+7M+GlZYNbg4RJmPGldYdeVHCuU2O1ZrE19Nns+zSVgt1A0DDAzxQalkySZByGOYu2hh+lGJqGYag809EZpzJ+nDEIEmQhQFG40tZJS42GKdP1M55dctj3Ml5actka+5SSTN3UUJE53zJ4/WDKhaZFz09ICsFwGlNIMis1jZWGw+WFGlmeI0qJKBc4moSlKfxwa8I/e2aB//xel9Va5bwwiku+erHJf795xPOLLrkkIVG5D4yDhAsdt1r86DItQ+Nmv/Ie3p0ErLomhqHjGBp1TWYQpRiKzDQtONewKIGVenVve1GGl2SM45wvn28DcDiJGMY5q65GVkpzK7Gun1Q63+OKbNdPMFWpigc+1qV3/YSOVWl/T1qNnSSeM2J8srlorv8tP/De/UVN+j+JKt1Z5fiTxy/yO/+kKrdP+r44q+ie4QxneCh+bqVe8kEF6iGV3iDJfy72d6bFDdL7o30do0qKGkQZzy25AAxmkai6iqJIKIpMmBYs2ToNU2V7FOMaGouuQZyXlMDOJKbrJ3S9mIah0AsqX9JxkiGKknGSYxlKlV6myRx5CX0/xosT3tmfMI0Svr/ZR5VK3tmfokolh5OYnWlImOQMj23NvKTqrN9oWXzxXIub/ZDfutDkejfgc6s1frQ94eqCSQaMopwF12AQZEzCGFkqudcPGEcxppSxPcnQNR1Dq8IIFusmtq5xfqFOTQVR5BQoXFtpUjcVXtubcrVjoSkKh5OErp8g8pQjP0ZVwE9y6qaEH+TsTRNWGzZBUXKx5aJJ8ObelH/2bIP3ejG/eb7Jl843ud6LsRWZvhdy+2jA0SSgZapMhULT1kkKqJkKYz8hyuFc3SDJS84v1Oi4Ois1kyBXON+yKcsSuSyJ0oSWY5KjYaolQz9FAgZ+de7X98cM/JwFS+NOP8TS4b1uyOW2zWu7UzRFJkgFgpKGKZOjoMoSozCpquWUWKrM/jQhSAX/64vL/NWNQ15dd9jsBwzDgt+91KYbZFxoO2QCFEk+9hMGQ1eYxBkNQ0UGdr2E37zQphdmaJLCYVAtxBSpJClKNFVlHGfUdYUgq5rSvCirHvhFyTBMsVV498ij6yc0zKrKmxQljq4wCNO5rVhRfGCvZ6oS26PKzm6mte1YGj0/wVTl+5rX4IMGtpl7w0kiMPtaXAhMRf655rXT/3+USu0vu0p3pgX+5PGL/s4/icrt7BrvHls3fpI4I7pnOMOvEE5OdCctih6E0zY1J31yZ+c6mYz2IBK8VDMrfe4xAT6tJzzftBiEKV0/QZOYb+nOTPefW3IRskzTsXh+pYYQlZaxbav4Uc40SojTtIoELgSOpmBqCtM4Q1XB1BT2pwnLtk6YF2RFSdvWMTSFXpChKRLGMfEopZJ9L2PB1akZKnkJqw0DPxNcaNlMkpLLbYt3DjwutUx2xzEdW2UYFrywWqM7TUhTwThMSYTASwUNw+TIy2i7BqKUq8Y5SWCqCpMg4dklBy8WrDcszjdsvFwmLaFpQhBn9LyMtBDsDH0mcYosl6jIhAU0DI1RmJHmKe8ceAziFFsq+c6tQ1qWwhv7U3S5xFTgO3c9Xl51efPQp+WonG9ZyKqMjEw/EsiKRMtRWXZ0VKmkbptkaYquq0zTnO40xjI1BlGOLEsgCkxVZuxHyIAoQVJ1Fq2qyS3PSxabFit1C9N06AcJlizhWirvdQNeWqtxpx+gKTI3Dz1spWB/EpFlVUVHVTTONSy8KGPJNrjVCzE0if9x65AVR0GWZd7rBby01uC1PY/Pr9epWSqjJMfUFGrH/sauLrM7CjA1sNTqvvXTjJ5fNfdtjyM0IC2rqu2BnyADr++N8ZOMCy0HLy1YrpnUTI0gK9gZx7ywWufSQq1qWmtUmtu744S2pc7dRmbe0XEuiIuy2nnQVbZHEapUcjT9YPwpikzN0uYWZLOdlLuD4L4Gtof5ny7VzHnU8MnxdXJ8zr2sH5HsPi4epynp16FJ65eBJ01UH+d8T+Lv9WHv5xhVdPt6zfjIZ9Mv8j4PwhnRPcOnjrOV/5PB7MHX9eJ5pfVRJ5STpPfk12YWRqcn0ruDYP5e55vWAztl4djQXlcxVYm4qLxHTbXa0u0ex/RuNAwutCzGUY6hSoRpgSLLrLUs6pZBLiQutm3qpoalK4zClKtth2GQEWUF6zUD/7hC9/VnFvFSwTDM+YeXO4yjgqW6jRACWSpZtDWEgOWayZUFl8NpSsvSyYWgFIJ7o4CyLBjHGX5a8qWNBk1bo27ojOKCTBTsDKfc7XksOwqbgynjIOJHW0NURcKQZWwFRmFCx9X5wd0Rzyw6hEXBgR/zuUWbUoCp60iKjKtLmJqCn5UMg5SdYUjL0agbGss1C1WRGHoJlibjqhJvdSOeX3H40daI51dcDr2UICto6zLfv9OnjCO+c2vAck2nEAJRCjqWgiYp+AmUksT5loUuy0iqTp4Llt2KWN4+miLlKV0voShLjvyUYVyw4KhIqoYpCXphxs3DMXVLZehn1AzY7PmkWcbtYYAX5yy5Kre7Pq6l4ScxYVqArJDkJZc6LoWQ2GhZaMfb+9/bGvJ7V5v81xt9zjdN/tutAboiYUiVR+7Fps3OOOVi02EYxByMQ7bGEXVTxUsFUikhI3HkZ7Qsld1xzKJbLbjSoqRhV04GkiLx4nKNv7szRJcLDsY+39ns8/yygx9nbI0qUjyJEq4fTOcNkmFSzHW4hahsx+K8nFdfe35aPbyPmyjPNy3yUmLB1Y9lDPJx5Ve/b4xM45SOrd23UDw5duD+xeqDKr6nAyNmMp8HzQ2/CB63YnhGch8fT6Iq+yTPdxofdZ5Heb9LHWe+6/eLXMfj/lxnRPcMnyp+Fba5npZrP9nA4ujqR04ojzJxnfTdPakbbBoK2+PogVXgIKkS0eZBE2mOo1UNZZc6DnFeVW21Y39cU648ec83LYZRTpYf++cC55rmvDEIKunuesNiEFeVvSzPuTcKCJJKi/tuL2TR0XhhyeWN/QlfvdTi0Et4Za2BqanYhoqgZBrm3BuGNC2Jt/YmvLk3ZRKnhBlkuWBvHPO1Zzq8eRhyoWnz1sGEcw2dG10fSoW2Y5CVCufaLgeTAFeRGQUJV1eaNFyHlmMyiXJcrdqK1xWZy+3KZ/fl9RrTJKelqwS5hKEqOGplc+bqEre6Pg1dRlMlpFLi2dUGXlxQAF/acLg9yPjKhQZdL6NpG6w3TLysIM9ztvyEJUfltT2ftmtyrmkxSUoGYUpZZIzChHvDkFGcosuChqWzWHcpJIWXl6qK80urNY5CgSkX1DSJd3sJl5sawyRnHKZ0HJ13DwMudSx+tuuhFAl3BxEtU8VPckRZYqoSO8OEnWHERtPEiwuuLjq8tjNio2XhRzm7o5jdic+Fpsl/vzHgS+cafH+zz+cW6ry1N+aNgyn7k5RSKjnXMPjR9ggvStkdh0THDZESoGsSfS9jwZH4ydaIpqXgpYJzDQtRCGRJZqPpcK5hMUkF//TZRfanBbau8/96ZY0fbk2wdYWNukEvzrG1qrHxJ9sjTEVCVmQmacGFlkUmKm9pP87mtmHPLbm8Pwjp2BpdP0FRZF5cbaAc++7OnBNOe9nO/KAvdZz7xtxsPjy5WD05Bu/bYUnvD4WY4aMCJx4XZ1XaXz6e9O/4SZ7vUe6hR32/X1Rj/nF+rrNmtFM4a0b75PFZblz4pO1XHgWP8vt81Ot+WPOZF2WsNKwHbqUOjr1Jh2HOoqvTsfX77JNM9XhLWSrRtaoidrFtH4dEFEyCFNdSj+UNCoWYVYKram8/SBGFIC8F3WmKpEhcaJnkhcSlBYdCCN468Hhm0aXrxazXTe6MIqKsYBolXN+boKtQt022BgE1Q2GapOiSjKpqgECTZRxT4+qCzQ/vDrFVibe7Aet1jcNpjBAl15br2IbOJEqIs5KGIXMUpFBWNlp3RhGlyHl2pUPb1nnvYMxXL3e40QvI84yBnyJLJS3b5HrPZ9GqfG+fWzLZHUd0bJPnVur4qUCTBW/uTeg4OqsNl/7UZ3ea0DFgc5SzVNOYhJWWORZwoaajmwbnWw5CCPpezDQv2XA1hnFBmGYgSoSs0DQ11myJ7+96XGnb5CW4ukSalez5OefrMneGGTUdklLlUstk0dUpJZmuFxJnBTVDZWeS8pvnGrw/iDAUGMcpZVGQlBr/6qVlvn9vyJKj0o8KLrZshmEMoiQtZf7xtSW+s9lj1Va40Yv4wrkGb+8OuLrYRNc1plHCesPAS0oalsbuOORzKzXalsGRHyNJEpMwxzZkFCSuLNVQZJkkS5ElmaQoWXMNMiS2Bh7PLbhEpUSUFaw4GqM453zLQjledHW9uPJMlqBmaMd+t5WOdxjlnK9pbHsZzy46812Lw2mEcaw9r5v6fKwEacGSa9xnzXcy6nc2rk7+O/verNHz5Gtm/59ViU8S6JO6+dlC9xdxaTjDGWZ4Gu+js2a0M3xm8DQNnMfF464ufxnV39NNKI8aCPFRaUknK7p3BwGFEMfOB8fesA87p64SpgUNvdLSbh9bfplqJVeIc8GSa6Brld5RlUvu9HxMtSK2rlX52zYNhRtdn55fEVuAOC/53HINVVNpOxavnGtiaQqZkFhwKt/cOC9ZcjS6XoytKbw/CDAUiXEQcX1/iqZCKiQcXeXKokPHNuk4NtM0JxeCvCho2CqGJvPGrkfdVhkkGb99sUWal7iWQcvR8NOCoZ/w5Y0GgzBlHKakacHASxmE1c9pSHCrO+Un947Qyozv3x0QpTkXOg5pKbFYs3ntwGNBFxx5MW2z5FbXJ8tLpnHKj+8N2B0G3DyYVGQ1jHhtZ8ChnyKXBZujlBdXTEZhxijKkBWFmgbb45Qsz9mfxHS9BC8tMKSSe5OUQpQkaU4/zOhoBcMw5o1uxLKjcrM7QZUlRCnTDQuuNHWOvAxRloRpRl3NCXNBKgSjMEEtS/anOV5a8uq6ww+3xyw6CodeytEwIMwEKyZ8986Qzy3XSQtBy9QoSpBKiSgvWbBlvneny4vLNrcGMf/bK2uMIsEzyy10XcNPCl5ZrbMzSWlYGkEqeHWjTpBWTYQSVYNhy1HoeikNUyHPq3t6o2Hhp4LVmsHeNKIQgrWGxeY45vnlGtcWbMK0oOPoc1nN7PMqCKWq6FJClBYYisyCo9OPBc8v1ypyeewwIh8fP5MXXD+YMo0z4iTjnYMJ2nE4xEm5wUxbO4+1PuG+cLL580ESotO7KbN/TzaFnm58O8PTi6dlZ/BBmF3bZ3X39WwEnOEMHwOPSyxnr/k4E8WHHR8kVYzoLJ73UV8HD05LOv1zzSpHTUPhvSOPtWMj/7r5wTbpg95npW6RAVIJR17Msq3y/XvDuZaxikYt8OOMKBFYhjInyY6mIITgjYMpi5ZKkGSUErzfD2nbKm/sT7natrB1hduDkGc7NkdeQpBVsay3ej6iKCmE4P2+TykEd/o+QZqz3DCwdYPnl12KUlSE3FaxdZVFx0CSBIamIskqmgwlGVEquNiuczBNeWm9yUrNREHGVBVsXeK/3hzwTFunF+RomkTDUolyiS9t1DmKYKOuMU0K7oxTpLJkwYT/cr2LJuXsTSOuNlTujXO8uMDSNCxdRyoLdiYx/cmEYZSwN4nQVYV3Dn3SLMVPMlbrJufbLjd6KcuuQYmAvCBF4dJKnSyXKEUOZUkQZ5WdmVywNZiS5BmLrk4/lQnihIYuszuJqamwO4oJ44yLTY2daYpA5qUVmxIFy9QrOcY4xIsy/v7eiA2nZKs/4c3DkGstnc1BhKXCaqdGJhQmeclG02ASZYhSYsU12B342IZKWgClgqGpvNeNeH6lTs/PMBQIc8HeOKRtCP7ze10cTcKLElxDYnMQc75hMQxTtgYReVHwo60hzy9beFmJa2h0bB2BwqW2zSTKads6UVYglfC5Jed40VXScAzqpsaSa3BvGKJJsDuOKCVo6JW9GhJYusKBn3K+ac13IMKsoOsnpFlBln/QEPaT7RGXmyajKEfXFJZqJlnJfFfj5Lip7MnUeQDLfAfkuDpbFOL+MZp+9Nwzq+SePNfD8CSJy2eRBD0NeJolfLNrA56oFOKTxBnRPcMZHhMfd1L6ONqih73XyW0kRZF/rknlYQT2tGvCyWvqevHPEeZZ5Sgr4cXVxjz6d1Z1mjWlzbW5UcrBNKrsxlwDW1e40LK4O0n44kaTcZITphU5EELQslWmWcFq3ZpXr4ZRzpW2xZJr0otyVho2oyhn0VR593CKRskPt0dsDQJeWHb4zt0hFxoWElUs6wvLDv04pxdkXGhabI8DLrZtVhsODVPn+bUGRSkhRAmlYLMfsuJqlJKEEBKyJCFTsjkIkZA59EK6XsiCo/Cz7RFNU6PuaPipoBQlbUfn3iih42q0HRNJkrnYtvnJzpRFR+H2KOFy06JuG3RqFj/YmtKxVfp+Rs/PSEoZx9B4Zc3i6LgRTNNUDAS5pBGlBYqm0/fDKvzAj1FVjRu9GD+KuNbWuTcI0CSFaQqWJMiTFFuXkWWJAy/F1FUuthyGqcz5lkMpqVi6QpAUtC2NMC9ZqZvkkoKrywSi5E4/omWrQMnmMObz55uoinbsDysxTQv+lxeXuTUWXF2qVbG/mkrDUAnjHJELnl800GSJrWFEP4jouAZHYYprKNw88jjf1NifxhxOAnSlJExS3j2csD/y2B0GlCLnjf2AjbqBpWvsTVOmUUHH0XjrcEqa5fhZzihMeWm1zr1RyktrTcZRzlpN53bfZxpVUbvjOEcCMiRGUY4fZ2iAH2UcTWN+tjtGAm4PA652HN47qlL7Ftyq2tu2NDYaxpyQelE2b57MSmjaFWEG2KgbvNMLuNCyqJnasb1YFQhRFB9UcGf+uveG4VxjG+fiPqIaHzs7nJQlnNTtftR881E6/Q+byx5njvuoueoMD8fTrIE+eW1PInDk0yD1ZxrdUzjT6J7hUXBaV/dJvNfJzx9FX3vyGmfa2ZmmD7jvHLMt1Jn114MejqfPsz2O7mu2CZKcw2nENM5YqZvzqu/sYR6kObvThCVbYRoLZKU610tLLuNj/ePsmnp+iq0rxGnKjW5lMxWlBaM4R5VKoqxgrWbw490JXznfZmcS4hoaJTDwYkxdYa1m8u3bfb603mSaFYzDFEMu2ZlELLsGXlJw5MW4uoqfCeqGghfl+GmCLMs4mkI3LOiYCr0wJUoyXllvcbMfoCtgaiqv7wx5bqXBKIzoOCYDvyJx37szYsWEaV7SMDVyWaWuFGiajhCCGz2fvMi52qmRCmhbGl5a0PczztUkNkcZcZYiKTIKJX4qcHUFQ1UohEKQxbTUEsNxKZBp6DI9L8ZLYhRJoeHYNDRBLyiRypQjP6dTs/nCqsOPtkdoUklRwoWOy9EkYrVdp+3I3DyKyPPkuLos07QNdkc+5xomhaJjKYI4BUWFln3svdu0+P5ml5WailBMVKoUMtesdLyuJhFmAr3MmAqFjZZLTSspkfDiAiQJWy7YHGcsuiqqrBIlCaOo4HLHJcxyOo7BKMq41DLYHPgoioKrqXhpznrdwtRU7g5D/sm1JRZqBnVd5q1Dn7alMA5SFK3yz43SHE1WaB5LExZdk0IItvo+qgqFkHhmscZ37vT5n59Z5PbxAu3eMCTMCp5frs3HyzRO2Z0kXG1ZxELcp8sthKDvp7QslaysEgJbpsYozlium3O5wyw2uGNrDySlJ7eMt8cRlzrOPGb4cXoDPmyeetD3Tr7v40qzPs5cdYbPDp7E3/RJPTfPNLpnOMMvEQ/a9v9lvtfpzx9lkjmp3Zs9RE/bEZ08hyLLxHk51+WergKfPs/MQWH2cHYMlZqpsVI35ylrQXrspRtlhFnBRsNgmghGSeWuoEklbx5O51u+7x15TOPKR7cfpNzph6zXdf5us88oznlltc6ya1K3DLanKf/Ts0u8vj9h0TUZhillUSKk6mf5zp0BLy07bA49DicBIz/i+qFHlBakokSSJZqWzvvdKQhBzVRpOBot2yLOYaVREZJuGNGwNK4u1I4r2jZxlnP9cMq5usrrO2OKAnaGMUGS8LOdKVfqcBBL6KpKzToOFCglBDKjqEpYc9VKy+onKeM4o5Rl2qbg5ijDyzJqusrQLwhSQZlDLkpiIWEoAkuCAA1b15CzlCTL6AcxcQJlWdA0ZcKi8s49DHJKAWt1lZ/sTrm6YJOWYBo6h9OEc50aSZoy9FJqhsTto5Q4K7A0lUGY87nlGomkcbGhMwlThAwjP6U3jVm0FfanEaYmk6MRZzmmqpKXEpIks+AoRGlJ01Y5SGQuNnXSNKXlWDRsi8sLlRvC7VHCal0nDBNyUXDg58fXWRHuJM/5wkadQVRSSjJyKaNrKouOiaIobA4CLjR1Xt8b8eb+hKMgo26qjIOUPT9jHGWEqUBVFMKiYBxkLLlVIl5SlCw2LJAULi3UeK/n8y+eW+Yv3jngixtN3j3yKEVGkmbcG4aVI4KfQAm2ppDBnOTOdLVxXrLg6vNwiQstm4Mg5ULLBiqrMlM51uG6BpyQNZyeTxxD5UbXZ71mcHcQzOO2H4fkflgQzMNsqR7nPR52rqe5UnmGj4cn8Tf9pO+HM6J7hjN8TPyyJvFHIc6P+oA7ffxpn9zZcTOrovNNi+1xleo088mdyRkeZRW+VKsquY6uzn1HB2HKkmuw6FSJZ66pcbllsTeJCLOCtq3j6ArvD0JapsYgSNkeRazWNGq2wd1RwpKjcONwzM1+QFyUXG1bXO3YfPfekKsLFtcPJqR5zoEf46gKlPDSissgzChKiSwX6JqMa+qca1nc6oa0TIW398eYukQvjBlHBYYq46cZa3Wdt/Z92qZMWZRoskzL1llrWnS9lEmU8/nVBrfHBS+u2AzCjJ2RT5KXdBwVr9BomQptR2dnGGEpBdMkx1TAMXSajsFis9ruR5IoS0FZwiQFU5b43ILFvXHG5bZRxctaMpmAhpITFWBbJks1C1dXkGSJ2/0A65gohQWkAjRZQlckWpZKy9XYHiX8s+c6bA5TXF1FLXMMXWZ3HBClMf0o41Z3yrUFmbiAAy9io6Fz6Od8frVGjoxlGtR1hcW6iSaXTI9J7KJrcOjFXGvrvNv1MDQFVy3ZGcUICrqTmK+cb/DWUcTL63UOvQRFKgjTnHcOx2zUDW73AiYZ9KcxVxYMJnGOreromooo4XY/Yrmu46oSBUWVYqYpeHHGC6sut/sB/SDGlAV/+34PP0q5N4mJkoS94ZSkqAJFmrqGbar89fsD8qzA1SBOC5qmyvYwYNVV+eZb+7yy4vK9uwOeXXTYHCbULR1TlTicVo4hN3s+rioRpMV942jmLa3IMivHkpxBlPHqeoNBlM0XijPPW8dQ52EQJ0npyUa155bcym/XNX5uG/mj5ozT89RHLdAftFX9i+CM5J4BPl0Jy6cmXfjGN77B5uYmr732GsPhkK997Wv82Z/92QOP/fa3v823vvUtrly5wng8BuDf/tt/+wsf+yCcSRfO8GniF9kWOklEu158n/XQR73mpDXRSXkDUKU/FeLnZA83utWWtqLIc+ukky4OMx3vTD88q0bFuZg3pA2CFFmuOtk1CXanMY5WOToMwpTPr9Z5+8jnnb1xFWygaPzWxTZxXhKmBdujgFwI0rSgF8Qs120apoqqqohCMIxSllyN797u03ZMzrdt7g18lhyVN/Z9LncsvnO7zwsrdXJRIkTJkRdhqjKaoqJrCqMg4cpiHT9JCZKCOEsIk4JuWPDbF9v8dHtEnBfI5HS9nH/50jr/7f0+52sym8OIBUcnKxXW6hqiBERJkBSEhWAaRoyjgo2mg2NqUGRIqo6X5tQ1ha4f07INxmH1+7o7rHx9k6JAk2V0XSOKIkpZoygybh5lnGuBpem4usIwEbRNiWFU/X2EgKatMg1SjpKcq00LWVXZG0fIEpgKx69RUUXKli+40jJxbZMwSWloCoMUlusGaZrRdgwMTeXm4RhZKtkcRVxpWkS54Opyg/W6yRt7Ey4tWOyNE/7J1Q7fuzfhH17tcKfnc+ilXG5bvHnoYcslUVpwftFBVVQudRwGfswozBgGMS+vtYgLwdBPSYqcZ5bq9LyYSwsOeSmjyqAhcaPn8/yKQ5yVWLrKzjhCk2C95XCxbXNv4HFnEPGlcy5dP+dcu0bH1tHksoofjjNss7I0E0LiyqKLqUrcHcV85XzrOMpamTdTLtfNnxsz8/F1wlLsRtfnuSWXQZjOx/jMGeG0TdjJsTcbX8ADx/TjSplO//8Mnz4+S3+Pj7rfHiaF+WVIWB6Vr30qRPeP//iP+aM/+iMuX74MwHg85vd///f56U9/yt27d2k2m/Njv/nNb/If/sN/4C//8i/nX/v2t7/Nn/3Zn/Gtb33rvvM+zrEPwxnRPcOnjY8z6Z2cSIC5lvZRGlFOV3uAnyOsMw3u7MHd9RM0uSTJS2RZRpNAkSsPUfP4wawoH2wYzR72J/W8XT/hbs9ntVF1xxuqxP40Yb1uEKQFUVZUlk15TlKU3Dia8pXzHcZJhmNoVbSryHjnMMBSZaSyICwkFuzKgzfKCtqWwX+/ecTljkGSS1xoW+xNU3QFpnFOWsDnVxz+x+0BEoJSAgR0g5QLTYNukBHEKXXHpK0rjNOMLIetccQrqzY/3QtYMGXinCpStmPTDwVtA/a9DFWVWa/rLLsWk6RgvWby450hVxccfrY3pUhjVFVhybUQZUlelmSFhCyXVbd/CeMwY7lpcrcfsOEq9OKSJM+xJUGpmFi6xFKtqoiGcYbgWB8rUuq6yjAD8hxdBduwCNMUATR0CT8tMQ2DwTTET6FjQyjgUttlaxSwYmt4GchlScfV2RwGfGmjwd1+iJ/lXF6sESYFRVFy4IXUNYlxXPLsksNKy8ExdKIwIkPhQtviziDk964s8MOdEYeTiM8tO+yMU0RZuWQs1AxsvfJeVhWFVUfltb0JG00Tgcxq3eT6/gRTk0iFzG9s1NmZxDy/2iDNciZJzjTOmMZ5Ff+syIiyZBylvLjSpFMz2RsF1E2V24OI37nUoaQKIpFluZLM+CmuqXGr5/PKssMbRwGqVHK147A1SfjqxTbb42ju67xStz4YU+kHY8qLM9qWRnb8hD3pJ304ibCNKmFttosyC444PZahSlGbBUw8LEVtNm4fZax/lojVrzo+izrmh90/H/az/DLuuadWo/vNb36TP/iDP5iTXIBms8lf/uVfzgnvDOPxmH/zb/4N//7f//v7zvG1r32N4XDIN77xjY917BnO8DTj40wGp7cbP6rbeoYHbWkCc8nC4SSiKMScmGrS7KGroMgyNVPD0RWS48rTbJs2zAqKQjCNs7l/6OwhPzs3QNvROPIzbF0hTAsWrUqbe7vvk2U5wzAlywsOJhH/6NICP9weMokSvCghAw68nEVLRVMkgrxkydU58lNGUUopBD/aHvK7l1oMQoGqKuxO4oo8bY+wVbBUeH8Y8/xyFTShKyod18DVZJAUpnFOWRTIJez6GQoyrqlxqaXx072AVUvmYJogAUt1i4GfUoqct3cHTJOcL646iFIGSaJlKLy+P+aLGzV+vD3m2bbGNJNZcivN7IKjMYoFY2/KjYMR4yjjTtcnyRLu9Ce8slZnkCpsNC3Wmw6DDGqWxDjK8JOCElAAXdeoaxALmUFWvW8mSwQJBFnBesPB1AxK2UBRNCxVQpYhK2EYQUuF6wc+lzt1RnFGLgpqpsTmMGDZVPnJ3gSFkrQoeX17St1Q8JMcW1UIBVxcqBELhTDKCJIUIUtomoqta/yTa0u8ceAhCsGSq3OzFyOVoFMAElGcEyYZ290hSZLy032P//3z52jYJl++0GEa50RpUnkO2zIHQca1BYeDSZXSp6tV3LQswdivktMUudpViPKCtChZbzloqspXL3WIi5Igzkmzyips5rLQsTR+51KHm8OYL6w3eH6lztYk4ZXVOtvjCCEE26NontoXpB+kAc6CT2xdYZwUOPoHnrdLNZMgzbENhTApMBWJG13/vhhtx7g/evu+sXrKnmxuLZh+IJv4qPnhabay+izgSf/ePmkd85O4/odd64f9LJ8mif/Eie5PfvITXn311Z/7erPZ5A//8A/59re/PZcc/MVf/AWXL1++r8I7wx/8wR/w53/+5/PPH+fYM5zhVxEP0t/Cz1uKzT5OG8mf9M2tqk8VAUX6oKls30vnGtzZv15UHTcjsaYqUQJxUbJat+b+oaYic6fvM40zgiSnH1SVs7ZdaR8VuYpaHcc5RZ5zMImIswIvKfjN823eOvL40rkGvWnK9jhACEHdVNE0iUMv4WLbYRJmrLg607iqAr+4XOMwzFmpmyy7KlEieK8f8ur5Bm8d+CzXqgjdnUnG5QWX9aaFn5a4pkI/SGnZKgkKkyjDkAoOphF9P0EuZa4tuGimwYKrsday6Ac551oW07hgksJ6Teen+yFrDRtJglGc8vn1Oj/d9Xllo8Zr+yEX6go74wi5zLjRj1g8DiOwFBlVkujUdVLAUAzuDSPONTXGYcbOuPJ7vd2LcCTB/iTClEpyBUxZsB+klLlAFhlelKCJqklPLXNu9KZcaGhM4oRFW2YQ5gQ5LOjQdHW6MVxsqOyNA5q2Tds26AUZtqbSjXI2ajbjHHQJLrVNbvVCWraGJpc0j+NxVbnkYOqzM4oJEkHTkBmGKT/ZnXClUy3AorRk0VYpKAmFgiJJXFuu48UZummyPQ5YdRX+87uHtG2VnaGHFyVIssStfoihyLi6wp4Xs+DoTFPB1QWXSVyQ5OBaCrKisFiziJKcUgi60xAhBJaqECQZPT8mEYI3Dz2yPGdrFFE3dXYmMfeGIS8tuXhRRpyXNE2VrVFIP0h5Y2dEy1SJ86pcOwuaGEb5PMVvexTNnURONnZWFa+yCqKgirk+6XU7886dkdZZhPbsfR5kLbhUM+duKB+mvT05zj8r1cOnCb+sRcLDqqOPcj2Pgyd9/Q86z9N4X33iRPcb3/gGX//61x/4vS9+8YsA/PSnPwXgL//yL2m32w889vLly7z22mtzUvw4x57hDL8umNuGnWhumcaVD+jDHnYz67BLHYe6pVM3dZZq5lxjGKT5icpVjqFJ9z3wg7RAAkxFAphbKf3VjSN0VUIC3jr0uNQwKn9ct0o0K4So4mqnEV6Ssz1N2Gjo2JrKnpfwhdUGg6jgynKN9bpFmBUsWDpJIXOhabE5CHlhtc7uNGHkpdiGRjdMaFoajibx2s4U26h8ckUh8btXOnz3zoDXdwYEScLeJMVWZVRJ4EUZklSCEMiUuJbC7iQhywt0VWJnkqApJa6u4egGN3sBK3bBj7cnFKLA0ODdwzF1VXB9f8ThJCQTJT/ZmZAXGe/sTXlhxeXAL0jzgt1Jjlak3O356IpEp+HQtHVUpQqu8OOEIEu5eegx8EOiuCBOwNElNMtio+UQCdAVidWmgyWDZcg8u9rGdVxaNYsLHZu0lGhoMm8cBbgqvHEQsuyqUFaSBcqCKy2DfpxjyiVhFCNLYKgaTUPCMTSSJKGlK7iGRj/MeG7RJCslbMOk66es1zXSokTTDdqmSpQVdKcJXS8kimP+9vaIrBAUZUmSC8I4ZejFnGsa/Hh7wvPLDfJS4kLb5Y2dMWEas90PePfIp5RgGBb81rrLdzeHtGydRccgyQV+kvHG7oAsz8iKnL1xRJEXvLU34eVVl+tHIcuuwZGXICsywyAlSVN+tjNCLgV/d6fPMIj43t0BEgVZVvDjvQkA/SBFk+DeKKA7DWnaCnfHMZc6znEFNgOgYchVtXcYsVKrvHNnvrsz39yq+iphHscFn9x9mVVpvSSbk92Zl+6sKjw7Driv6ns6Ke3D8DSSkc8CPqlFwqMQ0o9DWp/k9X+WdgY+caL7pS996aHfmxHRGWH96U9/ep/E4SRmX79z585jH3uGM/xa4YQK/+T252ld7kxDNQir9KeuF88fpF0v5lrH5kbXr4hrlmMeV6QUSWbJNaoKkyyzWrcqH9pjgns4ifju7S4bNZV3Dz3ivOSFJZfv3htyoVV1p9dNjUVHJy1KFmo6JRK/fbFNPyw437ExZImjIGKtZnCx7ZCXErZW6XpNTWESV/687x15jKOMc22VH9wdsuJq3DryuNUL6LgqW8OQCw2DTq2qRDqS4Ht3+uyPfaZxiqpIZAKyUubaYoO2bVY/FzKrNQPXMChFiSpDGGWMw5SOK9EwFA6Dkisdm0kUo8sKy00Xv5CIspxJVHA4iblzOOLO0RQ/TtgZJ7RMmZot48Upt8YxhcjoBwVDP6PtVg1SQsjoGlBK6CqUkoIkgW7AUs1BlyEvBIZSYskSe5OUhUaNK4t10rzELBOyvERTdWQkticCL8i5M8jp2HD9KKBpgpChaSgcBjlLjokiSeSSTJrDakND03QWahaFpFCIgoMg42rb5PUDn46tIKsqn1+yuTGI+I3zLWqqgpcVrNQN4ryg5+VsDgLiNGaa5AyjlJ6fIKiqmrf6IY5a8ON7PRq6zN4kRlcV4jTjzYMpllJiqgrPrTTY9zN+41yDzb7P9jjm9iCgriuIEhzNQFUU2pbO7jTiyxt1bgxS/uVLK7x9OGXR1jAUCcfUGEQ5piyRlbDmmuyMIgxFwksEf789ZNnROPJihBD4ecmFlsNS3cY1TTYaldzggybLEl1TWalbXFpw8FNoW+pcWjAbV8Ow8qquxkdxXxXWMVTqll6FT1j6fZKHGR6WhHhyTD9pfBTh+nXCJ7FIeBRC+nFJ65O6/o96/6fpvvjEie63vvWthzaGbW5uAsylDePx+IFShJOYkdfHOfYMZ/h1wWx7E6qKkqOr96WozSpIs6SmIMnncaQnH8BLNZP3B+G8ols39coeSVfnNkknMfPOBbANhXNNh6Ow4JWNFouuzu1BwOeWHI4mlV53dp4LbYemafDiWhPX0PjK+RbJsSdpISpyG6YFS47O3iRiz0t4ZtGl7doYus7lBZd//twyW2PBv3p5lbujmI6j0bFVtscpX7nU4cBL6Qcpr6436EcFzy46eEnJesPgu3eG5FmCKnKiNGd7EmNIAiRougZXFh1qlk7L1gkLiVfPN9mdCP7V59dxTYODacKllguySlOX0RUZR5PJRElSlLi6im2Z6JrOesPAtU2mIchSgVHA7X6OCuR5wnv7HlkuEEDTMrEMA0tVEWWBrYMQMPR9joKU7YFHUioMfUFNl4hDn/1xQilyDqIML47ZHkxIReWpm2ZQypCVEroCSQGqBH0vpW1rpEJikhbUFJjEIVvDhIGfoJQCmYKdSY4jw9/eCVgyYX+cUoqCm6OUV1frvHPoIWQZuSzYGVVVzByBVBTYpkmUlpWXsKlSN03aNYuLCzUcXWOSCLykQJJKGrZKUUpcajkUpUQvyPjSRpOX1jtMU0Gc5YRxTJ5lfP/eiGcW6zimypfONdE0hZdXG5iGxisbTQ68hJdXGmxPYhRZpm3reFHOSkNjqWax0XG40LKp6TI/3h7xjy83eX1vQipK6sdaXFOV2KgbJEXJ0I9452DCJEx4bW/CtY49txorCsGiq4ME4fFuhaOrbI8j1mrHCWiFmAeunJYdLdXMBzaNnZQrfFL4sMrdZ6mq91nDZ6Ey/1HNjyf92D9NPFU+ut/4xjf4wz/8w0c6dkZqh8PhEz12hul0et9HkiSP/NoznOGj8CQ1Ug8718kqEXBfs9r8mDQHiXlHN3xAiE83qj235LI9juZRpXC/8f3cc/e4emUqEqYqsztJON+yuNY5tmnqB3Tsymlh+TiU4d4wxFRkutOYBbc6vyzLDKKMc02TEjjXskACW1cYxRmaVKJRsjUMsDWFlq2zYOt0g4yvP7cEJQSpwNIVun7OP77U5EdbE4qywA9ivrPZ5x8+s0TNtnh5rXHcDKewO81ZbjkEmeBqx+QoFBQCXE3HtXSKorIh69gKf3Ozy7MLFn/xxgE6GaXI2R5HLLg6QpRM45wciUkYY6mAWmlYsyzlvYMxUZIhIVAlhVyFKwsmpQS2aeLqEt0wwZQE/SChZlSVX0FVZW1YJmEB9/oZfgLTKGWtYzKOU3yhcaltcDDNaJsGAA1DxzEMdB0sG+oqhEmJCsQZNAwJVJk4E3QnEbJcMkgroj32q4CPcZTiWjZfvtAgBZ5blLg3pnI4UMFWpCpFLstJ0pRKxFJWVmd+gmnquJrMal1nkkLPqyQgPT9BlkomccGFpsnBNEZXSuqWxW+eX6AA0gJ0ueT/d+OALM9x1KohMswr398VV2Nz4LNga2yPouMFkMkkzrnWMhkEMX+z2aemyWyPAm73fVbrOlujlKsLLhfbDk3HpB8V/H9e3eBv7034588tc6HtMDkmsIokM4xyDEXCONaG+2nGgqOz5yXVToifYKoyPT+dN2zOxpqjKwyPZQ73Nag9hEQ+qHI7G5Mf1nz2YXjcueejGozO9L5neNA9evJ58rCwksdFkiQ/x80eBU8N0f3jP/5jLl++/FAv3U8a586do9FozD/+9E//9NO+pDP8iuBJVUFm1dhpnP7cuU6vqE83ns2OOe3L+TCz+JmkYZaGNvu+IsvExQcTWs9P5pKGMCu42Qu42rZ469DDMhTe74fUDZlCVBWvpZrJzriSRfzNZh9FKXnn0CMrcu4OPIQQDMIMRZaRj6tYYVqwWre52K4xiAv8JCPNc8I4482DCXJZUArB390dQpHRnaS4psoPtsZ8cb2OHxXcGQZcallsj2JeXHa5tOAQ5hKyVHJt0aZhmzy3ZDOKBUu2ihA5kyjk+sGYhiETFbDZD2nbKj/ZHtE0ZKKiSj5bbdq0LJWtUUSWpQyDnIatMoxL0iQmjgq6YYaqyGz2PYoiJyoK2raJJGLatkZWlKiKzLmGTS5pOKrE4TQkLiBNBboGCgVFBgsOJDks2BrDOKejS6hywRsHE9pWiWXotBybSZKQC4krLRWRQz8EkUMioGHrdKclCiXDKCXNYRqALEuoksJSQyXMQFNkVmoG6+0aX1pvgWTwW5dqCEkmSUvWGiYH04wszRkGOWsNi/Mdm30v42LbomHqlJLEJMrIhWDJ0dkeRYRxzFbPQ1AtyNq2SpYL1hsWpqGgKSUH04C9SUCcpGwNQ+4Opwz9GImquezIiwnTnDgrKEpBWpTEWcGFhsnfbY2ggJYp8d7RlHcOxpRFyfY45lzD5HAacn1/TJ4VLDsaf7PZ5188t8yNnl/d27LM2I/YnlS2YudbFpKssdaw6FjVwuxSx5mPkbePfNZqOofTD4ioF2fcHQSUUjVWrh9MH+iCcN9YLpl76AJzYjsbjw9qPnvSus7Z+32c7/0ieBoqgWf4aDzsnjrpAPSoYSUfhT/90z+9j5edO3fukV73VBDd1157jW984xt861vf+kj5wQyn9bxP6tgZdnZ2mEwm848/+ZM/eeTXnuEMH4YnVQWZJyppH15pedj7nbQhu0+68JAO4NlD9bS2d1bhnSVBVQb3BYYiYygSbx5MOd/Q2R4GGIqEn8Nas4pCvTsIONc0efPQY8nW2RtH6IrEKMqJ4pydccTWICDLcvwo492jKaMgwk8yBlHKhYaJEII7gwhJkRmFCXEq2B7HrDZ0ekHCUZjQMVXqlso7Rx6upbLecHmv69E2VW71QvxU8FsXmkiSwuWOi6kqxFlOwzA4v9DANQ28VNCyVLpBhi6XSCXcGcbUzKr5qm5pXOw4XOzYTJMS29TI0gzHUDAUFUWWqNsmpiMhCRgnBbYuc3eYU4pKi5uigMhRJVHpRw2dpbqBrmoMooJRAIYKAgXLNNioK1iGympDxtI1ajJ4QqPIC3RFpSgVjvyUYRAhC/DimD0vx1BBKkEokGUwTVIsHfyoxM/AVCESQJ5jypCVKhtNjUEYM/IjplFCXgpWWya7o5iNWuWecG+csOgobPViHFNlZ5ywP/KpaZVHciZAiIIoy1m2VaY5/MaFDqWsUEpQFCUtS0VVVBRFoecn3O5FJLngQtMiySQ0Vadm6ciyTHKsl96ZRJRlianJ3BxEbDQMun7Cnb5PN4h5brGGosogK+QoXG5ZdMOUS00bLxNM4hxDkRklGeM453LL5vv3hqw4OjvjiGlWYOoKEtWOgiLLXGhZfH6lRi8quNRx5mPk7iDgctPix7sTzjVMgrQgzkuCtGDF0RlFOTd7AZeb5pzsPsj6yzFUBlE2H3ddL6Z5rJcH7mtOOzlOHzX17GnGmSTis4MH3VMn/26nCya/yP33J3/yJ/fxsp2dnUd63SMT3a9//etIkvSxPj7K7eD3f//3+eu//uuHNpN9GqjX6/d9GIbxaV/SGX6F8KQeNEs184Ea2dPv8VGJSaYi36cVfNDqfNY9PnvozqrEJwm1Y1RhEuebFgd+ysW2zaJrIlCIi2qbvG2p9PyUNCs4mIRsDUNsTaHtauiKypW2wzDMWGmZHEwilmsam8OQUZJzrm5zbxSy2fdZqxv8eHdMlpc8u2Tz1t6ES22T9wfBcdd9jKlp1HSFzVFMkgvkUjAKU0pJ0DFV3jkcMfRDru9PuH7gkZcSbx74qMB/eeeIJK88cl1doWObmJrK9iRBU2RKBCoFh15CnCZEWYkmw94opm1K2FJJWMp03MoarGNAN8gxZRXLkFEQjMIC14AwAy+JWW9YeEVJnOeoZcq9/hRNURhECXlcWXoN4oosjsKYTNJYtDVqhsqBFyIrEl4SkwuI0oyunyAXCVlRchiBpYCtq8gK1G2QJZBluNBy0HWFSMCCDOMUDBn2JhCXEitu5SxwoelSSJXEZBymHI0jLrZsukGOIUtc7Zikhcz5ZYtCgERJmICfFzSP08YkuSLl3ajgSlvH0FReXGkiIbPR0smRqOkKWz2fw7HHVm/MZi/g0EupWTK2WtL3Qp5ddJnEOeM440LLZLPvc/uoaoz77uaIUZCy4qq8exTw7tEUV5dxNYX1hs4gylipGQipZMFWKYuScZLRsXQsTWEQpZxrmnz/3oBFW6ncQIKMZxfd+/SxP9wZ89WLbe4OAhxDncdnh3nOyys19r2ZhEdipW7i5yXPLjo8u+Dwk/0ppirdt3icjbMgrXZiTmp4l2ome15yn5cu3C9heNQmpqcdn6VGpzP8vJ3lRy22Pi4Mw/g5bvYoeGSi+61vfYuyLD/Wx4dVab/+9a/z53/+5w/01r18+fJDG8hmetsZOX6cY89whieJjzvpPqnJ+uNOHPMJKc0Jsnz+AH2QNnBuTRalTON0nnIGH2ytdr2Yu4OApqFwo+vz6nqDm72Aax2bMCtYqxl0jyN/27bK9a6PrSlQVk0+uZA433bY82JeXK7R8zO+eK7JrX7E5Y5NXVPYmkToskTbVPkPr+9xtWXSCzPuDmP+4ZUOO5OMcy2L3VHIOEzYGUcEUcrID1CR8NOc802bmmVQd0xMw8BLCvZHHj+51+PtvQHb/RF/8cYWQZrw+s4YXZORJchLeHd/ypfXTO6MEuq2iWUaiFzgpyVxmrE7iVh2VBIBwxQuNDVuH05RpZzv353QMiX8JKMEDFVho2WzVDOQJGhoMu/3Qy41DEo04lLlgiuT5IKNdp1GXcJwwNWgP4ZplFdSg7jgyEvJU9jsZizZGuMYakaV3FUikeawYMEkhiTPKQT4MXghNC3YGwfUdZ0Xlm1GBTQsSBOomzCOcrp+zPPLDRRVJROCSZhyexhRt2RiIdGwNS4v1whzibWmycWmTZDkyKUgK3KudFwyUbLg6Ly77yEjMFW4deQxSXIWajoXF2zSonLR0DWFZ5YbDOOSuq1hahKaoiBLEmEu8S9eWOGtw4BrHYuarvLW/pQFV2cQxryzP8VRJVxDYXOYkhc5mizohzmGpmLrKouuxcurDWqWQZAKDF2e70yEWcHSsbb3+ZU6t/oRTVNl0dF4fxASpAWbXZ+39sdcaBj8l3cPaRoK1w+mZMeNZ5paNY1dbNuEaUF4rPF9YbWOIsvsTGLW6wYq0PWTnxtn2vHXT1uPdSztvrH5IAnDycXqZ5kQPkqj0xmeHpy8/562XYNPVbrwR3/0R/zxH/8xX/va1x74/VdfffWh1eAZqZ0R5Mc59gxneFL4uJPuJzFZP1Dzd+J78wlJV3E09T4t4EwbePq1s47vmT3SNKr8Ra8fTNGkqjltGGYsulXc6bOLDu8PQjYaBnuTiCsLNrd6PofTGJUSRZLZ9xO8OGNrFNDQFcZBSlIIzrUcFEnmxeUaN7oBgyihYarIksy+n/LKap3/+70j1ms65xoGmz2fCy2brCgZhymKVNKyVW4OQi52HEpZ5ksbbW4PQlYcFVOtdK2mqtBxTVxTpyglVhoWuqahSxKdms7WMCLOC3QF1hsmf3t3yoYrcTBNSNIcS4OoqMISaoaKUCo7sq9cdDnwBOdaFpMEXlx1OAwyJAlUZNI8Q1cULiw4rNUNhnHOqqszClMuLli8uNokli1qukyapNhKiSFAkkAAmgL9IEEvMyYB+BG0azBMStbqKqOkxDFkjqIS1wRVltA1iDJIokqaIANHAWglxFnEMMpYras0TZlOS0ZWYd3VkcqcnUmCn+bEcczNo4Q4gv1pRlYU6DK834vQJYEQOXdHMY5esjdNaDomqqKwXDO5fuRxpWUwjAVZWpCVMlmWcuPIp65r3B2E1HWJw2lM09L57UstNgcxS3UDP8s417BoWTo3exFfOtdgZxiyP024umATZYK2Y6IokBTVfb3RNGlZKgfTlJapcaFtE6cFqiIxjHPKQnCuaWJpCpIsc2fgU9dl7gxDVmoGoyDjhZUaR0HGoZdQ1xTe2BmRlwVZUbI1SbjQNLnVD6pwFblk4FfJgR1br0hs1Y83TxgM0pxrHZs4LxGyPI/+Bea693FacL5pcRqz8Xffbo3+QdDLbGzPCPPJ4IlfFTyNROppwuM8U57E8+dkH8jpxdbTgk+N6P67f/fv+P3f//2fI7l37tzh29/+NlBVex9Wpd3c3LzvtY9z7BnO8KTwi3gZntTl/aJ4WDPaSe3t6e/NyO5M63tSgxsXAlOV5w/nk5hVvoI0p27pZGVVqcpKWK1bxEX5gTNDCYuuTpyXfH6twd1RzPmGzr1hyFrdYN9POF/XeedgwrKt89ebPV7daDCJczYaBreHIdMkw1YldkcBr++OMBSJpqVxFCb89sUm9yYJhq6j6wpemKArEpqqME0hSwv+ydUOQQobTYs9P+F3LzX5wfaYSSzQVYV2TUfXFJ5bdvnS+TaqovPb5xss1S3itESVcnp+ghfnNJwqoGAYQ56n5EWJZRp85WKb3WlK18/YHUW8uFZjfyr4vasLpKXE55Yspim4Kqy5OkEh6Lg2tlIyPr4O16ia0CTVQkbC0SRMTWJvGKBJUDNt6q6Joko0bTBUCUmGUtawLGg3wDZ0HEkwjnMGU7g1EDgSDHwQJcfVc0gBu/qUhgVRDl0fclGgSDKTUDDyBS0DhmmBohgcjGMGI5+tSYEqg65BKQSTKONeb4pESc9L8FLBNI7oT1KKssSPQ3ZGPv0gYcHRGKYFSzWDxZpFWcLmIMCLE757Z8jziwbf35ry4mqdm32fv7875GpH42c7HpdaFm8fBqzXNW4dTbh+MOUoyOg4Gn4ieGa5iamprNZNmpaOJEtstBziAjRVoW6p9IKMKK+aFfcnEQ1TI8hhpW4TZwWmCj/aHvG5JYd7g5C1psnuOEKVShqGymv7I55bdLndD1mtVXI2P87Zm0QsuQaZkHhmoSKugzCtpAlpMU9Bg4qYzqz6ltz7JXEzna+jK/fNKyelQrM5o+vF8693/YSmoXJ3EMyPU45dSz4sLe1x5pSnCU8bkXpa8DgFlCdRbDnZ6Pw0Lz4+FaL7zW9+k1dfffWB5PO1116bSwz+9b/+1wyHwwcS2G9+85v80R/90fzzxzn2DGd4kvi4g/tBHdcfhUf1sjzZaDbT+J3eWrrvWk7ZiS3VzKpye0L/62jq3GM3SPOqMcZP5vZIs4CIax2b7XGEo6vsTKoH8ZJrkJUSGw2LJC95ZqmOkBS+sN7gKMi4tlRnaxLx/3h+hRv9kPWGxQ/vDfniao1ukKGqCnkJ55s6h0FKKQTrDZtb/Zjfu9Tm+sGENC2QZZkfbo0xZAkhcmxDRcgqy3WTe70JUVrw3bsjLrcMZEmQZYIkyznXsBEoXGhbXGg7NBwDRdVYcjXuDUOyrCAXgmmYUzcVFFlh2dWpWzprDYMbRz55mrA/CAjCkLcOfL5yqU0vTNlomEySEtdQeXW9Tj+R2GjYjIKcoICaBuMgJs4yBl6CIZfc6024M4jwggRFlkjLqpIndK2nUAABAABJREFU8hyTElOHICtpqHAUpJgaSKJKMBOyiheBJlUT/DCByy0JFAVTgTiH5RrUanB+QWPZsbB0cHUwFZlJkjKOocxgzwNNLrnXS9Bl6Edga9BxIS5AkgRhEhMIqCsCw9S52Z1SN1RyCWqawiQG6//P3p81SZLd2Z3gT6/ui6nt5rt77EtmIpFAFlBAoaqAYlWTrJ4h2d0i7J55mJZ+nS9Afo155fOIjHQNKcJmd3MZFprVBAuFPZF7Rsbm4eG7u+2m+zoP6ubpERmRGblEIgD4EUmJdHNVNXMzu1fP/d/zP0dT8cOYrq0z8DNMqSQpwNUlpkHCYBawXFO4NUj5wZUm/+HWIVc7BkVZ8u6+x8uLDtM4RZQ5//HDI1SpYGsQ4Cgltw9n5GXGwEtoWQp9L8PRZWZxxt3jGZOg8hO+czzj1mHV9HhvECBLJb/eG9PQlROtbMqxl9BzdDZHEYuuzpF/4gWtyMzSgj/e6PBwFnO95xAmOU1DYd+LuNay+NXOmK6jMU7yU7nBsZdgyFU88DxKexoltMxHNe9nx+3DcVhZ9p2p0J7V0PtxdY0kzZiF6anTwzjOHnFFAZ7o0/us88zzjoo9x5ePJ83tn3bsFyGnT3PpedEglWVZfvphXx7eeOMN/vk//+f803/6Tx95fC47+Ku/+it+9atfnT7+r/7Vv+Kv/uqv+Jf/8l8+8ti/+Bf/4mPBE5/l2KdhOp1Sr9eZTCbPLHQ+xzm+CB53Ovgk5wNDEU+cnJ52zjxCdK7jO1tFzosCWVQ31PkxZxOYHr/OXMM7fw0PhlVVahAk5CdbxVFe4Cc5PUdnGibkZcEwyFh0DQ6nEU1D5e7AZ61hnprpe1HKKM54ddHlvSOPV5dq/N29ARttk3uDkL+8scAHhzNMTeZu30MWgsstnXf2PV5bqvOv3zvgG0s2h37C1jDk5oLJj+4OkYClukHHtTmahtw5GGIYOt9eb3O377HoWuiKIMtT3tubst52KIuSuq3x5vaIRVdnfxwwCHJcXUYRBQ8nCTe7BrnQCOMMU5XozxIKqvcjLaBpqHx9rUWWVaETu7MEqcjRVJVJnNOyZIaDMQcJ9BwDS1cpioIwKzFluD8O0AtouyazOCVMM0xVwYszVAl0VUZXZFqWwa+2p3QdGPtgGdAyVYZ+SiHDaAoqIBuwUFPJ8owoKSnLyje368o4iiAoZGqaxCwpSfMUP8opUohlMARIAuSialpTNYWepXPr2KerQy5LeEnJtY5NmAuCOMLVJW4fJWy0LXQFGobCNM7RFYkHo4i1msIwzFlu2ORINA1BlMFyQwdJYmsQ8f94fZF/+dYRlzsWcZrRdEze2Z3wnQs2HxxEBEnOgmsSZxmLjsmBF5AVUDdlrnVd7g0iXluy+fnOlO+u13n3ICBMM757oc57hwGXmgZ3ByGuIbjUcbF1FVHmPBgF1DSFYZhxsWUw8FNco1qwff9SlyDNcQyVNM058JPqewxsj0MWncovd+6dO6+07oxDVhsm9olbQ14UUFYyhFmU0rX10wXl5sCnbVWLqwst61RaNB+rZxesR15M21Sf2ow6H7dPG9OfhqfNKZ/nOk+bt87x5eNFe7+/rO/Rk/CsfO0rJ7rNZvMTXRguXbp0mpA2xw9/+EP++q//msuXL5+e+8/+2T974vmf5dgn4ZzonuM3iU+bpJ6VFJ+91pzAPm4NlufFqWTh1pHHWv1RB4f58XNbo3GcPWJubyiCh+NqyzY/8bs1FAlbrWyRek5l8dS2VAZBSkOTeefIY8XVq1AFS8NPc8q8CnU49FO+vVLn57sTOqbMh8c+NxdqzJKCSy2Df/3OAf/gWo8oL9gcBvzZ5Q7/+t09rnZs7vc9ciQutyzePZjhJZWmVgANU2V/FvOrrSGvrdZJC0HLlLh35PFPv3mB/9eP7vLNFZuHwwDb0NgfR+hKSVZKaIqCTMEgzNFlibLIeTBO+B+/vc5m3+c4iLh3OKvicsuSooBFV8dUZR6OQvKiwLU0Bl5Mnmcs122SAvZnMQ21RFE1CmClpoOA7XFMkWVsjSJ0rXr9SQazsKq4FhKsNEwcQ2FrFNA1BYd+iiZLlAjyMocU0hPJyK2jhJdbMCxl6iJnN4Qsq6zFGhYgQdPQmYaV9ZciV965QVpiawqupnDsR6Q5mIbG5abG+/teZUWWQMPS0KWCXJJpGIJJkDNJUl5dqjMIMzRRUsoqi7aMH+bsTT36fkbLVFhwTVRZxk9z1hom0yijpMSQwTBMrnQsplFGkGRYmszNjsN/3hxyY7FOGMaEWc5KyyJMYWswZaGm0fcyRmHK//SHG/zHD4/5717u8W/e79O2ZJZcjb+5O+SPL3XYmQRIpYQi4Npinetdh76fMI4yVKlkqabz9oGHqyv0/YgbHYewlHhtyWUQpmwNfRq6ClJJTa/8i1frOsMgo2UpuEYl3XkwDKgbgjgtqZnqI+PnyItpaDLjpLInm4+zO4OAtYbBIEhpW+rHUtDOzg+ftCg+O0bP6oB/E3ieZOf3GZ/0+b8I7/fzJt0vLNF90XFOdM/xm8azTlKPTyJPOu/TiPCcyBpyFfZw9mY8vzZUW66PV4bm+sCzN+I8L9ieVAEQdwYBLy+5pw04W6OQ6x2bD45mKFLJLClYq5sMo4yiKKqGIIASdqaVTVNNk6mbGn+7OeClrsFPtz3+5FKLKCk4DhI0UbA5rMj2cr3apr137HO1Y7A9iclKwXpd44NDv6q+egnfudThR3ePublg8ZMHE/67Vzr8f986Yq1lMQpjXEXh9tGUC10bW9N5OJhSSoKxHzNLcq51NB5OS7633uSHd4/oWIJZJlApWHYtHk4isrxAIWMa5UhCJitKNFEwilK6hk4hy0zDkLplcqVlEOVVJVCXJd7ZmzKLYrwYXB3GISw0NPbGCe1aVRGUSuhZGreOE1wLdEWQJwXTFGQFOobE9rBkoQYBsOwYbE8j8hCiAjQF6raEo8okWUZUgFJCIoEowdYkFusOW0OfIC1wNEGSFKiaTMfS+GA/ZKkhYchqtRVfs0nihKajkhVgmwYaGZsDn5uLdUpJMIoKNBLGcYksZGqaTJhkmJrMOEppmhqH04gbXRNklWtdk59uTVhr6DQNg1GUcLVX2XtNw4TwRJojMZcE5OyNfa53DLamGX9xbYGDWSW5MFT4+cMZry2bvHMQsFbXyUuJBdfgteUmJRAmOX6cMksLDFXmctviYBqQFRKmKp+SxbwoOJxExEXJMEgwVJmv9RwOg4yuozGLUhbdqtJrKIJbR95pOMp83M13UR4nofOdk7lswZDFIxHe8/H4qXaBJ8ceeTErNf10kfpl4vGF84tArH6f8HlJ5Of9rD5LkeV5PN+TcE50PyfOie45fhswnwTO/vtFVs5Hs6iSH5x0fc+v6SfZ6c32SYbg0yg5rV6dPefYS7jathifHLc3CujYOunJ+VtDn7W6ycNJiKXKeHHKWt3iwE9Is4wS6FgaoyjjQquqdv1qe8hGw2IaZxgKfHgcYCoSUVZwqeOw6pr8aHPIlabOWwc+qw0NXZF5OAwI0pzjWcTltk1clLRtjZ9sDvlvvrbE+4cedVPlYBwgFIkgznE0GYTE/jQhjBLiLEMIgS4k7g0jvrni8Pa+z0oNjkKBa6jockmUQZxEpLnE/VHIlY5N3wswpJJpBouOwbEfE6UlXUclTHOW6jYbLRvKgu1pzGAakWQZTVunH2Ys16rQgTBOGYUJaQqqCooq09AVRuOYVK18b6cBuCZ4ObR1OA7AVMHRJUZBySQAWwNFgbW6hqkbPBhOWWtYbPYDeo5OXFTNWpOkwK7c35gk0DElNKVypsjL5MTmChoaBDn8wVqbNw+m3Og5JGnBLMlJoohpDku2StsxGQYJJTDwIhZcE1NTuH805nLXZRpldGyNWVrw928s8G/fO2LBglxSaFoahiJoWypNR2d3nJCmGQklNVVCSAJVkanrMn97f8Dltk3bNcgLsFUJL8m53Knx481jXl2qM4tz1lsWNV3F1lWapsI7exOGXsDeNOHPrvYoJIGrCeqWfuqiMPfJNRSJt/dn3OhYTOIcWQi6jkaeF8zilIZVNZn5SU7bVEHidEE4jZJHIrcfJ8Bzy79T3fwZ39xPI7iP+2DPF7LPg+SeJd4v0lb57xM+K4mcS9k+Dzl+vKjyPD/zZ73+s/K1FyIZ7RznOMen46xd2OMpZp+3sWBuDdOrGbim9oh10ZzkHvvxx44/ezM+8uJHrJOSNMfSZO4Mgo9usBLcH4fYmoyhSCw7Bu8ezlClku2Rj1RKHPgJuixRFNV28NY44vXVBrePPTRZwlQV6qZCw9K4P4zoWgrTuOCbK02KUmKaFvzZlSb3RyE/uNxGSIKtYUiQ5kRJTMtWee9gSsvS+Mn9IX+w6vDW3gzH0FhrmNQtFT/KeXWlga6qfLA/o62X+EmBpiisNi1ySWatofPhcUjLVhnFgroh4wUR+0OPrZEPpWB7FnG1rnDkZ2hCxi8VFhyTuJDpOAYbHbtqspNgGle65sNZzPEkQCEnKWEUVPpNS4WmpeHogjQHL4U8hwtNA0NR0GyFKy0Loai4JuQFNFQYhFDXoaYJvLCkLCoS7JjgWlVqWlaWLBiCg2nIelOnH8YUZc40KmiZEvsTmEXQNiBISvrTGEctiJKCWQwih8MYvr5U55c7Qzo63D4YcXcw42DsceBnKOSMvJBBUMUAD/wEQ2SMvAQvSfn+tQUsXWO9ZdNydF5fa/Jv3t7DUauAjUlYpZblZcEoLjmcJoz8kLHvEyUpXlIgy4L1pskshT+/sUDNVLh7NIOyZOinlcY5SfmzS22yUqrcNSRB3VBQpZJ39iYs102mcclLizZHJ/rbmqHSc3R6NYNbRx5pmmMoEjuTmG+v1LnVD1h0DbqOhiELhmGGLARbo5CxX7kuRHnxMUuwOUGcOyUczaJTf+ooKx6x8JvbhH3aOH68eWw+Js+S3C/Tu/vTkhfP8fzxeUju52lOfPwzft6f+Zd9/XOie45z/BbgcXL7eH44fHb3h3n3dl5UXptnO2fnNkeDsCJbZ18DcFppirKCtqV+1CGe5Nw+nnE4i6jr8qmHZ5jkLFoa0yglykrujnw26iajKKNpaQRZRtOobupCSDwYBvz5xRb/8693WLU03tgZcaVjceynrNZNGoaCkAU3FxzuDgPqmqBhKLy55/EPby5xHKTUNRlLLbF1hbWWiyZr/Nn1Lu8fzPizK21+dH9C3VC41tbp+ymjMOdGz2F3HHH7cMrXFm3e3A9p2XLVDT+KaJmCMMmxFImOpXCpbWFpKrIi2PMyNlzBw1nElbbN/UlGU5Uoyhw/zjgchziaxPY4hKKgZSqM44KDsc+RF6PIMrMk5eEkQypzJl6K58ccTBKiLCcuJDQFLKWqyA5mCaWQIM/YHYcs2iq6KmjXLEYhuKYgQ0KTFZqWzkJNo2PCLIY8zujPQsZBzDQrudxrsO/FaCUkWUnb0ZkmEpe6Km1bICsGNVPllTWX3WmCpWsoBeSisku7Mwy51rVJckFaSIisoD8FU4OGoVJvuHxro4mXwmsrLscRmKbK5bbNJCpYcE1uLjgossKtQ4/VmsIkSohy2Ggo3DmaMAlivCDgYOwhSSWTFExNoWXpJFnBg2HI9Y7JLM7JEVxoGvSDGFmGoiiQJUE/Knh50WUYJCy5Og/HEZvDgJahMPQTXltroig631ht4kVVsMf7hzM2Bz4tS8FPM4ZBxvWOzVsHU17uOhxMq92QDw5ntCyFIM6pazL9IGYYVETz7G4HZeVyMk86a5vqKZGdj6u5Pd98h+WTGs7mx32MGEgfH++PB8F8Fjzux/uIl+9XRHLP3Rs+H07n809oOP609/bxz/h5f+Zf5vXPpQuP4Vy6cI7nhS+qY3uaBvfzbiHNb3yDIGW9YX5qXvlZQj1vZpPljyq7APePPcZRjKYomKrM5Y4DwP40JM5K1hoGHx779EyFA7+adIMkR5VgcxxypW3x4bHHsmPwYd/jG8t17g59ACxV5nrP4U4/IE4S9mYJLUslSQoeTjySXPCnF+vcOg5Zqet8eBygySU926Rpa+yMfbZHERcbBn9954jvrDeZpSWmpjCNUmqaxM+2Riy5BlJZ8svdGX//WocP9qcMw4iWKTNLBaZcYpkmbVtDKis3gjd3RigC7g4CuqZMlEpockmGzCT0KQuJsigZ5/CDNYdfHoQsuwbv7vp07crnNcxy8hRMQ6IUMqLMmUQlXVvFViFH0J/F5CXIsoSlwNCvInabNqiaoDjp6C9zGJ5UdHMBF1oWpSRzrz9j0RTcnxTIBSw2VWy5ICw18iwiykoMWUISJUoJfg62pmGQkAmdQRhzteOwMwrJ8pwUaBsKjlE11UVxQadusjv0ifMUW9PYaDtcbJnsTmI6tsydfoAoC44nAZqmsdgwudQ0uXXsc6FlYmsqu9MIVRZcbNo8GAdcaFoM/Jggy3FVhbAoMBWZOM3Q1Urr23UM4gz+YM3ll9tTAJYbBoeTiJajUTMUaorCgR/Rc3SSouRiy+IXD8e4hsKya5HlGZau4mgqaZZxZxCwWFNpGAaKKrNa13EN7UQTnBKfvF9RXlLXBZO44ELL4sEwoCgKNpoWUV5w7FWRwn6ccewnLLrGI41p8zH0SYvXJ0kQnjYnnB23j4z3kzH7WeeKxxtSfxN40dwEftvwLI3LX/S9/aq12uca3c+Jc6J7jueB5zVJP+mG+Fk6cR/X+p7FI1tdmvLI6583op0lyQ+GwYmP6Ucxv3P9bl4UfHjss9E0MRTB9jii62inz/XewZSvLTj8eGvMRt3kwdhjybVomApv7k55daFGBkR5SVEUjLyIQghU4I29KQ1D0DJVpnGOqSmUeYaflTQNBdvUq7AHXWJ3EjOOUhxdxo8LllyDrVFAGCe8d+hxuW1wME2I0pyXl2rMEoiyKkFrluQs1EyStEpum4U5miaRppAWBX6Ssj8OaZgKoyinZ2tIQsaPUw79EAq40rK4NQh4aanB7f0xQlSxvLIEcQ5xWmlqLzU1bvcTejbkgG1olIBCwjgEUxeM/IKsAFOHOKuayEQJpVylpxkC+gGYCmQnDWiuDEdhJV8o8uraSvnRz45poGkyXhAzjjMaCuimRZolRGlGmoMswNU1GpZCKQRbAx9HlckRWCJDkisd7ywIcQyNlZZNklXuCcuugaKoHHopusgZBCktS8PSFGQkmraCIgtMRcXRBXGakxaC5YbBrcMJbUvlyE9Ydi2kEtI8I0OQJAlRAQ1TYxKldEyZ/VlE3TS40DQpJJkbCzXGQcL+xEdXVJYbJn+3OeBqW+fIz1ipW7RsFVWSUVSZaRhzMI2oawqduomlyvRqBhfbNu/tT1muaezNEpZrGuO4ssnrnISjzHc5hkGGF6VcbplsTmI6toYqgSwkZFmcjq/52Dqr1318vM2J5pwQP2lOmZPZuSb4szSnfhqeh9b3s+K86a3C83gfvoxCzFe9EDnX6J7jHC8Qnoem6ayU4PHHzlZ1HtHVzq2NTrYhz2quHr/OvPlmHmV6thGhukGnp4b0R17MgqUwDDIcQz3dwp1f+8Njn/Wayq93J1CCpclMo5QkzZlF1XXePw54fbnOYZCw4Bg4uso0LvjzK20eTEKEEFxpmliKjK6rdB2DaZxytWOgyAJFUbjcrbFcN5FkBVlIzNKCPMtYqWncHYQsuAZdW8NSFOK8YHcc8rA/5dbRjKWaxrGfsNa0WGpa3DoK0BXBtY5FUpY4uoSQoESgqwqzMOLuccCxH1NSyTYUSWJnGmOpMv0gx9YEXpKjA4os2PViXl2qE/gBcQlSXjkCkFUkV5agZcLWNMHVYd+DtmOwbCu4mkARGhkwmlZkxtFhFkBLhziq9LuUYMgQZNAxYBxXFd64gEhAxwFVlihKqBmgaydEWBMYqsAUBUmSIQNRCXmeYOs64wCGXnVdVZHwUon+LEXkJX0vw5AKxlmJXBa4hsAxNNKyxAsijmcJsyDinQOfssypazAMcmqGQpKmNEwVRyuJctBlhWEQ4SclQQbdmuD9gylLNZ1f7U45mIT4ScZS02Kt5SBJEjVDJ01T/Chm0Ta42w8xNQVHk0mKaieh5xgc+wktS0NXJfpexDcXa7yx67HRMKkZCkgy622LFVcnTPPKck+VmUYZtiIxi1J+8XDE1bbF3WHIhZbFOM6xNZmOo/HhoVdVeE90ti1ToWkq/Gp/xqqrnwSngGtWLgxzqcL7h7OPRag+HuByZxAAPFXCND/vSTHBZ39/dox/FvymSS6cJ6LB84uP/6Lv7Yus1T4nuuc4x1eEL3sCeJJW90mPzRvHHq8OndXczcnw4zfai22bh+OQlZqOn2SPPMf8d72agX3iB9p1NIq8IIhzLF0+vf5LCzX+bmvMt1frvLk/rfx2NZlJnDMMM7qOTtvS6AcxuiwRnDT9WKrM5jjmWtfB0mRSQMiC9YbJal3H0lU0pdJpurqCF6UkWcb2OKSuC6IkJ85Lfr0/448vtvGTAiFJ7M8SiiLjrd0R4yijW1PRVZVrXRdVVoiSjGsdA1eX2RwldEydo0nEMIjougZDPyMTMmO/SrHy4oysgHGUEiQlW/0IVeTsT2Pqhoqp6QghoQsZhEyhaFzv2si6TNtSqbtgG7DuQlxC1xKMQ7jSgrQUHAQlLy25KJqOIYFW2e7i6AqvrVqEJVxftVisS5RpFfe76MgouszrqxaSBktW5aAgy+AoJaoGRQYNU2ehZnCx5bLSMJGEgm2b9GwVIQRtQ8NLMhy90tzmBTwYxBRpTJDEBAUgQVgKLjVsFK1yWNB1FVeFsJRx9SpYoqbB7SOfvWlEz1aYRQUd2yQtJLy0ihQeBSE7Q5/Dqc/2yOfBMGaxpnH72EfKUsoiZxJEzKKMYZhwta0T5yWzFFabNneGHn//RpeWabBQN+nYBg1d4V+/tcvFusbto4ArXZe1ps0v9yb85UsLzNKCuqFwpW0hC0GUlXRtAz8rudJxuNmz6YcZ4yhjydZ462BG01Q4mIQURRWXvTOJudg26PvJqQZ33px2pW2RF9WuR9v8SNMOlZ/ukqOxPX66BvZoFrHsaCdSo+SRBerZcTt/7NPmmmchS+d62BcTvwlC+azfhReR5MI50T3HOV44fJ4bzJOcGKCaeOapaHP0asYjWrv5duc0TJ7YrDKPF53LF+bPsTnwWanpvLc/rSzIhMBPclqWSpSXp7KFo1nEg2HAt9YbvHPocalpEsQ5UVZy7EX0bJmfbI1OOtRLdFnCUmQejkNEUdD3Ig5nEWmW8Td3jkmzSud4px9QNxQcXWWhpiMhIWTB9jik56j87eaY1YbBg6FPS5f48eYAUeTc73v4UUyYlLRMGVUW2LrJzYUaqqIQZinXOnX8TJDkEq8s2uxOQuIsx49zbh9OkaWctx5O6dkK+9OERVcjSTM0GXQZLAvyUma5rqHLgqjIiaOckZ/wYDAlywoOZyE9W8c1FOIUrnZ0Ck3nz651kRWF71yymeYSx9MAg4T/sjngaOqhaaAoMqt1DUmSGXgJGzUdL8ppWQatukxRQlIU1A2dKM1ZcRQejKBjyMxCGKdgKQJVrnS4CEEqSdiqYBqmeH7IJC1o6AqHfkrDECzVTXQNVmsKTRtGUcbllnOqU5aKhJ1ZQt8LyLKMmgLTpECVCpaaDpd6DWxFoW5qqAKGUYkpF0hS9TeGaYoqw+4s50rbqrTWtsTeOEIREssNk2vLLTquQ7tm0zRlDFnmjV0PL8m41tL50b0h/+h6h3cOAl5aqmPIgleW6rxz6PHdCy7/nzd3WW8bJHnJB4dT/i83ury1O+PlxToNU2cYZhiyxOE0YBbFLDk6+7MYWRJ0HYNFR6UfVC4kRVHQn9ulBSnfWm9SILPgGqcLymVHQ8iCRddkEhes1SupzLwB1FAEtiaTFVXAx5N2Y+ZjNoVTJ4azDizTKDl1WHhWfBpZel5Vw981/Kben6+a5P62fxfONbqP4Vyje47fBD6PH+6TvA0/6cZ1Fp/WwDK/9uOG9mdf5zwcomUpBEmOpcogwc4k5psrdQZBwuEkQpcFfpahSAIhC3RFwjVU/CRn6EW8vT/lGyt1KCVUVaZlKidVXo3NgU9RFBxMqySsuibYHIU0LJUl16RhqPhZiRenWKrMMEgIkpQPD6ZcaFsEmcSyozEIYjo1k+1RSBDHOIbKLC4J4hRblXg4CXl12eWX22NWazrvHXosuDod2+D+wKOuKxzMQhxN41LX4f/3/gGuVnIUwj96uced44AszzgKCuqaxPbY46WFBvteytj36dQs9iY+QVJQFNA2qiQ1SdaQyoIgzZAleGmxznFYcrWtcn+YcjTxSLKCfgCaqGy+jiJYbWhIRUaYFRQSTEPo2jKmIshKiTBJmCbV8V5aRf6SwziDGx2ZvIRpmCMEJDmEISy0ZHRFpT+LIAcvg4WGhAS4moqkKHQslcNJjBAlK02HIy/F1eHdnSlZCT1bIJUFoaTStXW8IKLrarRsm+tdm//t3X1eWqrxcBhS02UsTWYYw+srJm/veizXdTZaNn/7YML/9UaX/3x/wGsrdfJSQhMlh15MTVeRpRJJEtw99rjWtbk3ChBlyTfW23x4MOXbF1rEWcFLCzY/fjDlH7+0yP/7V9tcbVWV4Y5r8ReXO/yHO32+s17H0VQOg5Rvr9b50eYQIZVIwLGX8OpSlc630bIxFIk7/YCrHYu+V5FcqQQkWHCrhePZEJVplJyS0/l4MmTpdFyd1ds+PjafNL7zvMBPM2xVOQ2SmD/H4+mHnzZ3PMv88qJW6F4E/D41xz3v78Lnvf55M9rnxDnRPcdXjc9CWM+eM68aPYt27tRa6KS7+2kavrPXnjfcpOXH9Xnz60VZQV4Upzf2WVTZkUUndklJmrPvJRhCIipK6pqMLEvUToju/iTAUmX2ZzFNS+NS28ZPctYbJg/HIX0/YRrGFEWBKiv8eneEqytc6znkpUR80pwmkTPwU1qWygeHPmVZoMqCl5fq7E9DGqbG4SzC0WTeP5ihyoKurTFLMn7xcMQPLjb58cMJL3cdfvRgwIqr0Z/FFEJGLQtmGfRsDUsXTKOSmi4x9GIuLdQpT6rgkyBBVQRHfkoSR0SZRF4WmAoMopxV1+BwFmMqsDurgiDyPKUf5OgCwgI6tkHTFGxPQ1qGzu4koigq7a5+0khmKnC5o7E9STCUSn+bUm3PybKEqWpkRYIXlCga6BLsTapY4J4OngQbrooQEjvThGlQnWvJIBSomZVjw5IFRwE4KjiGjJAEtioRFQKVDCGrXOvZvHsQkCURrZrJnpejFDENSyVOSnJJUNNlXllt8quHUy66JffGJRebGkd+iqXJXOs57IxjXllyOfIS+rOAl5dq/HLH47sXmiRpxjgq6Pshi5bGcZSyUje52w9YqikczTJWmgYtU6dA0LaqkJBrCzWGYc4/vNrm333Y5/uX2/zwTh9NlCw4OpqqcK3nMgljslLiawsO/+e9PpYmmPgJqqqw1jC4dTTjlcU6NUNlGGZcaZkMg5QoL2lZCg9HIUmWMUsKrp9IbObE86xBP1Qk9hcPR/QshbSsKrQX2/bpeJqPo/nYfHx8P2lBeva8ZyFeTwoN+DxE45wIn78HXwa+yILhnOh+TpwT3XN8FnxZE91nuc58YphLEp51gnia7dDTrj2PBV6sm4+cc7aqezY5DSqT+jnJtTWFaZQQZSWqKBkFGboskZYSLUvBVhU+7FfWYVmaU0pVUMRG0+Jv7vXpWlWi1CTKWKrpbI0jvChiEuVc7rpcaVsczSLe2Z/QMjVqls7Qi2jbKvvTCE2WibKCKx2LN/dmXG2Z7E4jsrJk6CUIqeTAi3m55/AfPuzzRxebvLM3plcz+eDQp2UKorRgfxpgKRJBArYhYyhQlAJdVVl2dQZ+TJwVHMxi6paGH6V4UULXtTAEbI0jLncMdqcZpqYwmQXUTIUwhaapMkky+l6IKuYuA2AKGCXgqjDL4GLTrPSggFRAUkLdgiiGrLLSJcnA0iv71Cyv/r8oq2ONEiZp9XjdBFVUpNiLSg5DqCtgGuAo4Gew0TA58EJUAQKJSVzSsVW8OKVtmxRlSZ4X5CWsN01+uTOhaQiudR3uDAJUCRxTR5bAjzIutCwmccreJOL19RZZXi26FCHIsoLVpsGCa+MlKX6c8GCc8F9dafD2YYRU5mRZhqnKTOOS6z2bB8MIRS7I8pKVRo0FR8HLJF5dcvh37x9yo2sTZjnLDYe8KAjilMW6ybGXYCsCSZZYb9oEaU4Qp1xo1xgECQ1DYXsYYGiCS50afT85tQ8rioL1pkmUldiaTJ4XDMMMS5PZPPaomzJZKdGrGY/Y9c1jfeeYxwJbmnwaz2tryunYOUuMn5W4npUhfdKxZ8f30xwengW/T9XMc3w2fJWLpnPXhXOc4znjy9QufZZBPtfXnXZtP8VK7Oy/8/M+6djHry3L4pTkzv/Oua5wfk5eVDfn+XUrX90cFfjVzhjX0LA1GU1RuNRxSEuJrqMRJDnbk4grTZOiKDBVQZyXdGyNf3/rEF2UvHswIUoKwjRHVRQWazp74xhVVDreKCsZRxkrrkZSlLia4ELLYhTmXOvW2JtGLLkq/+u7+5gy9MOE1ZaDH+c4hswwKvjOeou7g4h/+toiW8MqjvhwErBgywhgteWwWDOwdZ2Oa6ArKoqsYmoqZZmzNwk5nsVM0xxTgVv7Y/woxlJkNFnQrZu8uuTywaHPYOwzDUIyqqarnqOQS9AxFGQgznKCEDqWQlRCy4JpAq4G4yikZiqstwwWGgYbLQNTUZglUBTgxVUscF6CIkPdkkgLcDSJ1ZpGrkCvJlHTYeJV9mNFCWkOrgDXFnxjtUFaVJXjYz+hpmmst1y8pORa22R7mBKnMPRDijwnSBJGs4S/vT/BKGAcFxzOqsWXriqoAsoSeq7Cziylbem8vFCjALJCYsFRCJICSxMgJLbGIUUJfpyz4mr8+MGE5ZqGACQhiHK4sVhndxKz1jSRypKNVo2ea5AW4OqCd/amvLpU48NBQFZwIiOJUOWSN3embDQ19ryELC8ZBAn3jmbMgpg3dgaIomAYJKy1rNMKaVFUkb59L0IB+l5Cz9E59hJmUUpdlwmSnJql0Q9zbvZq9Bz9tGFsPkdMwxMd7UlT6IWWxcW2ze4sPiWcUV6Nu/m5c339s1Rn5w1pn+aqcHZ8P/7Y55mDzknu7x6+yP3s894Tn/f36JzonuMcnxNf1mT/eSaWZ6naPE5Kz/5ufmN80jFnO7rn/80rTHPLMVv/KPoXYHPgV8/pxRiKxE+3R1xvG/zw9hGN+TasF1PXZA6mEboiYWkye15C29ZQVYWOpfGj+5Vs4PaxR9vSOA4SvnOi9x0GCTeWXJK8inzKi4KOY9Cp2aw2bUqoiErD4OE44o/WG/zN3RF+HPP+/ohplDHwIjYHE362OcQQBf0w5esrdR6MEtq2Tt3SSAoJQ5HIy0qnud6y0VSFrqVgaRKLrkmUFlCUTJOcnmtQUxUmUcErCzaqooIi8+pSjTAtGMUZUplRytCfJVxuW8iagW3o1HWVrXHIla6NJCpNbNt1uNq1sFUVgJEHihD0ajoNx0TXVDbaDlEhcbGlEMfVRJ5ksOioGIqEH5e4ukRWCmZJzs1eHVfXcCyNpgMZErpSWZu5FixYKoNphKvJjKYwCXIkcrZGIa8vu2xOYzoO6GpVDZZklbqhoenVNSLgZsc68SyuHDMWawYbTZMwkfjuhTquqTFMoEgyLAWO/YK1poafFWwNI7qW4PbBlFmcMfRibFUw9BN0RcZPCpqWxp3DMVe6Jg/HESuNGl3XZLVhYGgyQZJiajIHs5iNhoEE3OqHXGmbTOOCmqHw/mGApUrsT3ze2hnTthW2pikrrsk4TmlbGnFeUtMED4Y+iigZBQlLNZ0McIzKMeFq22KSFOx7Caoo2R/5dEyZD/v+6S7HWYcS19ROq7VV2ETC0SxivWGyOfDJ8+J0zM4bQuc2fvOxuTnwPzbO5z68wCPj+JMIx6fZjj0rzknu7x6+aPHmeS+APu/rOie65zjHF8CXQXI/78TytHM/qeI7rxJBRRQNWTxT9vnZCpMhSyeVJJXdacyxl9DQZW4deRhKRUJfX2vy0+0pf3m9x0+3xwC0TZVRlLLoGuzPUgylIpRFXhCkOe8fjKnrVfyvrVcV4D+72mU3qLatv7lcYxikvLri4sUpb22PmIYx4yjjUqvSvx56MYNZjKHKjJOqctbSFY79nJ6jc78fkGc5qigJ0oKDaUIQJxxOfChztocB31prMAhLFl2NrMiZhCmmKvH+YcCCq7MziWgaME1BBcZhSsdWeG3VZZII/vBih4ah8OOtEXVNEIQxrmEiS4IrXYtRVNLQBceziId9jwVHYXuS4ag6G506SBI9x2SSpJgaIKBERldkHvRnjGYz3trt09AV8lKiZlUhDku1yppsEJYs2AIJGUuRcBSJ/ixmGsYYUoFQwBAleVZiGQLT0BFCpukYmKbBcltGFTBLcnq2zruHU2xZwtUVZEWmV3e42TXpNBx0VeFS06BlKZi6hh9XQRCTMMHRVRRZxtEVtochAz/BJOb+yGcUZSgyTOISURYsuirvH3j06hpCCFQhCLMCScDhLMJUBDujgHZN51cPZyy6Kvf7EwZeDHmJLGRWXBNTVVhpGAhAU2WapoyXVEEXi45MmpXM4pxhkNGxVe70I/7oQoPDWYwsBKYm07E1ZEnQcwwKZL610UZVFC62q2a0Yy9hdxZzvWvTNBUmcYFjVO4Uq3WdvCjYGganYzQ/I+U5lSScSH0GQVLJHPLio9+Jk7TBM6Rhc+CzaKmPkN35eJxHDD+u8X+Wcf158Nvcff9V4rfxffoyiOpZidscX8Z78UXuleca3cdwrtE9x1eNL6Lz/aznnm1eORs7+izaPqiiSsd+TMPW2RqFLNVU4qyEskotW6sbDMKUvp/w9cUaP90e87UFhygr2JnGtEyFKCtZdjRuD3x6NYMiL4jykvtHUzJACMFrSw5bk4S1hknP0TEUwb96a5e/vLnAj+8PSIoSP47ZGUf8yaUO4ygjy3Lu9md4cc5aw2ChbhOmObePZliyYJIUbDR17h57xAVcbpvEWcHeNCLNcpKs0qFO45ymoRLlBTvjkCDJiJIElZJtr+RbazZ3BiFSKagbEhKCIIcoy7ncNHhzz6emZhRCwVZkFEVBKQvujyJMBWRFJooz6pZKllfeqpoC667G7UHCdzbq3D0KUDWFd/dCmgZc6tncH/iYCngBNFwFz8to1nWUPKYfgReBY4NbwriEP7ncY38SEMYp4yhFFxLDIMfWwY8hARYsiaKAoihpuzaqLJhFGZqAJMvIypJJnGGpgjgv+OZSk6MgoWkqWJrGzmDCYZhRUxXSomS9ZfHWzoSbSy5rDasKGokiFFVDlQV9L6Zta6SlxPWOwdEsIy1ybF3B0BTKvKBl60yilCzPkKQq1ngcpmiKwstLddK8YGvkYauCplVpZl9fb1Z+tifhDpMTXbAfp+iqTN3UuXM0YaNl83f3B+iKxCzM+MONJpMko+foTPwEx9J5fa3J4TSCElYbBneHIV9frPHWwYwszdBUiYLKI7quyaRlteCRFQkhBH0/YcnR0NTqmCTLSAvptMHyYttmc+Bja/KpU4KfZKfaXD95cszu5sB/xAHlaU1ln0e//6w41+Y+G37f36ezfz88m9b8Wa979hrnGt1znOO3BM9qCfZZzv1ElJzeWOfP80kr5aNZVDUeFQV+kmNpCsdeRWQnUUHNUBGyYLmmsT2J8KIUR4W3Dmb86eUOaQnDMKOuyhzOIgxF4u4o5NrJTdvSZQZBgq4JGpbGzZ7NrX5IXhQMZxFHXswbuxP+8c0F/v0Hh3QdlbqhECYFPUflYBbTcQzSEjqOTlFKHHoJD4YBa65Oy9YppIJl90RuUUr81zd6bI8TwiRHIDBlmQsdhxyJlq3jWgpHfopGgSokJKEQoLDiCH69F9DSFGq6RF4IorxkFkSMJh4/vn8Eecz9UYwfpYzjHJmCfphhKRkHfsRw6qORM41LvLhAl0EU8E4/4WsrLvcHIYtNi5Efcq0DyLA/C1k04WgCsgphkuGaEMUxUaky9ivXhDSGgwTWHZl3d8fUdcH+uKrk9sMcVaocFWYhJCH0gxKEBLLMLEgos5g0jwnTgijLGUcZNQGH0wINuNUPcDWZvJQIs5wUmeGsYBQmREnK7aMpF1o6EiV3+gEqBcMEshLSLMdUJAxV5mbP5L3DAF2XWavrhGlBlmdoiiArSxZdi65tUDcNSiEwFIUrHYt+kPHKksuryy0W6i5RVrLWULjX94jSnDd3xgz8iLoqcTCNMFWZOK0S+v7BjQU+OPT4xpLD0Sw+kStkXF9oEGbg5wU1rWoUC9IcP8v5+c6Eb67U+en2GF2WGEcZm4OANMs4nAb4aTVmUqBmVLIRVxeMwrRaRGoKslTdZufBK3PLPFX6KKHwNGpbVx5pXDuLOck9K2t4vGp7djfneVR0z7W5z4bf9/fp7N//Zb4Xn/ca50T3HOd4AfG8TLptvfLfPCtrOKvBfdrriPLi1ApJU2VeXnIZx1XVrG1VzWVRVtB1NExNJk5ho1k1slUhEgrRSSXZ0mQ2miYpYGsyfS8hyaoO/HkTUMNQUCUYBDF9P+F6x+ZHWyO+d7HJraMZYZqz3LBomzo1Q+HBYEZDV0nykiVXYxYmBEnG2wdTvr5cp2MbCKHQtDT+5GKL/+W9A15esEjSjFmcEBUZ4yCDokAgsTUKWW8YJICX5FxfcDBlCVlRWaurlEJwqeMi5Iq4KaKkU7fo1l0kIQhiSLKcPA459iJkWRBnEk1NIUGQySq2UtCwZZIcvBwu2hJHs5SGpVGUJd++2CUsFRZtwXrdZNeDpl0RWlNVOJiBo+vsDlOWaxACF9oG63WN4zBnyRLcH8Zc6lpMkuo8SQVTpaqcS5XLgiqrtLQqOGNrmp4Qs5SjaUFdh8MEbnR1jmYQJzH3hgG7Aw8/KdiZhCzYEOXQMg3Wmi5BInHn2GetpvDmwYQsTZHKnFGYsFw3KRCEGfQsGVMuuTtK6NkaUlFFEUtlSZIVtB2DKM1I45SGXfnfNk2ZW0cB6w2DZVfjB1fbjENoWSpJAU1DwY8L0rLE0WW2RgG2JpiFMb/amfLfvrLEcVTwx5e7tGoqaQF+lNK1VGSoyLlUsjWY8c7uiPW6xo8fDFGkksNpSF5WVeNJlNEwFG4f+6hSSf0kBXBnEuMaVaLcfLwNw4yGLlfpgXFVPe7aOnuzR2UH8+ruJ437+e+BjzWVnR3jj+t7v0x8VoeX31f8vpLcOR5fgD3Ld+J5fW/Oie45zvEC4nlUBOaTyNlms7N4UrrSkRdDyanEAT7y1J3fpG8deVxtW0R5Sa9m4Boqy00TW5vHDZ90phsq602TO/0AQxEce1UnepDmGLJgHFVNPnM95ErTpulUrgzHXsyVtsX9YZWSVTvZFl5sOvhJQU2V+bDvcaFlE2QQ5zlFkZMVJff6HjcXXHRFsFgz+LutMf/oZo/7w5i2a3GpbVOUsD/2KEvYGnrYioQsBK6ucaVrcezFXOzayLKMpaksNW2GYUpDk4jTnEsdlwXX4uvLNfwMvruqkyJTt00UVWHRVlGEjJ+VXLAhykq+vuoSpYKNtl0RNUkmSjNkSixNYWccYcuCspA58BKWalUVGUWCIqPrwtYw5lIbIiHxF9e6J9v0Cm1LZ5yUXO1ajIPk1KotjkABVlyo22DoMpYM/ShhHMe0DYUkL/AygWXCKIAfXGhwFBU0LIhz8MOMAz9jsz+hYwqmKby20kRWJNKyhDzBVAp+tjNGKarn85OqcfDOIODbaw59L6WUBEM/Y6WmkJYFNUOjZmgMgiqEZBxVkgZHl3k4jOhaKntjnyzLuNsPaFkaBTLrLYuVmsHBNCYpC9ICFhsOx7MERcDPtqb0vQhHFdwZ+Fxq2zQsjWGYYcsQ5xlbo+o7WdOrZjZJCC40LY6DnLalIVFplh1NZbVu0nGqdLVvrLhEeckkzrl15HGxrnOnH7Bc004bztbqBsOTCu98zAzClLW6caq5/TRt7dmxe3aB+jQ8rtn9pPngWR9/VvwuJGmd48vFs3wnnuf35pzonuMcLyi+bJL7qTGh0qM/Hs0iVGAQpp8or1irVwSm5+iVi8OJxVgVb1oZ4wshCJKcYy9hw9X539/bp65X1dxezUBVZC61LIKTbeZ5NKouS2weTbk7DMjzymrs60sNfr0/5aWew7EXMQtjtichl9smYZpT0wVLrsk4zDFlwUJN593DGet1k3sDD1WU/O8fHHCppdEwVJAEZSmx4BrkCFYbFqam4icF602b41nKimOyP47QRcHOyKc/8ZHJ2RzHaKJkFOUsuRp3jz2+uWTzYCbx/Yt1FE3nUsPiw35Az1VYbthMC4M/vtxgEgu+sezgxRmCsgog0GAcFURJysQLKfOE4yAljlNkqWSUlCzVTCzDJEzgcltFVnX+5EKb41nVABWECVkuoYiShwOfSx2LHIm6oeKa4Joylq7RdSxKYHcSY2kqCnDkpWR5gUJOmVTNbR8eTrEVgXHyFSgkkAuAElmSubFUJ0ozujWdui4IkHFUjYWazYKro+o6600bWcpxNMHf3B1ztWuiSjBNSxZqBoaq0nVNkryAHA68ytNWSBLHYcHray6SojAJc2ZRhq5K3DqYMfAiupbGf7xzxIKt8PbuhEtNhf90+5ChH/DO/piSlP1pzIORT5TmbA98dgYeQqIqa0syi3UTSQgGfsxiTadrGyiqwlrDpK5XmtdLLYsgy4nzqq3l5oLLJC5YdA10RWLD1Xn3yONGz2FvluAa2kc2fa75iI62bap8cDSjocsczSL8+CMnhscrsY+P3U+zEJs/ftbe7PHjPunxzxon/Pjr+H3ftv9N40VcYDzLwut5fm/Oie45zvH7gjNE9klODU9KSwuyDFuTT3WBZ889/TfNaJlVOEReFGyNAtqm+khlKk1zojQhzku2pjHfu9Di/ihko2WdNuXUTrZ8i6KoKsnA5jCgXVMYBwk745ALTYPbg4B//NICb+7PCOKUpqHQdgyatolr6rzUc6lbOj+40iYtK3uo7663uD3w8eOCPM/Js5Jf707o+zFelHA0i7FUQdPWudK1ud/3UaWCXz3sc7FtMozSqomqkFismSBJpEXlouBnJct1jQ8PfZZdlWlS8v2rbd7d94iThDd2x9TVgoNZTkOT6NY0wjAjy3N2pxFSHiNLQFGQCZWNtsUsKei6GlEpY+lV/O/dYU5bgbuDgDgKud6zMQ2Nl5camJpClhf0ZwFhKdOpKYzjnIapcOiXXFtwEbJCz3Vo21blLEBGEOe0HYW8lHF0jeWGRk3T6NZMUOFirXKvqJsS0xSapsKaq6EYsOra1CwT15BxdJVjL0EgaGqCrISWKSPLMi8vmIRZQVbIjKOc5bpGkMI4zvneWp37w4gFR+fe8Yw8y5jEOUlWsDWc8f7+lLZeVf+nYYqulAip4FfbEy60dAZexA/vHrNeN9iZxFxo1dgcZXxrrUFWSiy7DuuNGjVTreQ6aY5jCCZJzrJjEKQlpiqjSiW3Dn0WalVi21rDpKlX9m6TuKDrGBz6KQuWxrEXIcqcn2+PWXKqv3vJNTkKM15adMmLgrpRNXueHV9n/z/KC24u1BjHObamfGRJdiIB+lhFN/04IT1rI/j47+Yk9mnk4RNJhfTxhz4JTyLN5yT3y8HnWXA86TvxIuCTFl5nj3keOCe65zjH7xA+aQKZE9ln3SI69hJqehXVOw0rEjv33Z37fQK4hoZrariGRpSVbLSsU/N7P66cHSZJTpyVrNZ1bvQcsgJeX20QnTS5FUWBdSJH0BWJMMnJi4JLLYtjv+AP1hoYmkySlby6XGcYpizXTVbqJodBxlrTxo9TFu2qMW616aBrGnVDpWlp/Ku390izjFmcklM1rZmKYBik5EXOal1jEGY0DJmdcUhW5NwfeBQIkrSkYes4mkzP1VFVmfWWydWuw/44pq7L3DnyuNg2mMbw8lKD/WlC05CJswxZkqrghJqOqSloSiVFEBRM4xyhWmSlxJVODVVIDPyEjYbJ1jBko1NDVzRkRdCxYc+HjiZhaSqTRGK5ZtC2FHZGIUGaESQlWRbzzoFHXRM8HAUUWcKbu32KOCLNUiZRSikEeSmhKRLjMEOVCkxNRqDQcDR0Tee76y1yobBc0/HCkssdC12WmeUyr3RrIASWUrAzCDEUMFRBmmckRaUhXqqb9GoWB36JKxdsDnxqSk7fTykouNIx+U/3BzRtlZ/c7xMlKQdezIKrEmY5Yz8my2KGccHOJOBi2yJMCu4NIv7JK11+8nBGlBVIecruNGKzPyPNq+/p/jRio2lwtWvTtDW+sdLAVmUalkbTMvn+5S6zNKepy7y9O+LNnQmLrsLOKKZuKAyjjDDLmEUpR16EIoEfp2iqzIJrkeQl6w2D28ceKvBgGPD1xRpQyVJkIU6lO08aa3ON/NxRxNYU9maV1dhZgnxaxVUrMjyv/s51unN3hU+qqD6tAvw0P91Pigd/Es4ruM8Hn2crfy59eV767C+K39R35ZzonuMcvyP4tNX82Rvf45PN3HbsrDn9pYbBzjSmfaLvHATpR01smgLlR9edX2u9YTII0tObfF4UHExDVus6CzWDKKt0vDWzqpbNrxPEOVFeVs1uioIQgp1JTFYULNdNhBAIIVhwK32wa1RxtPcGHmuuwdZghlTkvHc4437fY6WmsDvyUYD/7d198izmZ5t9kjTFMQxWmhYrdZtvbbRYatS4stDg5aU6iqgakhSpZHea8AdrDrOsxNVFJa/oOHx3o0OJUpGyukaQltQNlbvHAUmWMw1jlmsK/aigV7NZrhssNF1MReAYCqYoUBWZd3YnlGVOkUYsOpWtWdvRSZKEN3bGXKgr3D8as+qqzDJoarDW1KnXTFIkLtQ1yqLggyMPQ5OJ0wxLlzmagi3D/ixFVWSGYYIoJFJZYc+L8YKIo9GMcRLjBSWjCAazhGM/wtIFh2MPJY/Y92KEkGkZglKWyQsJVRV8a8VklBTUDRUhZC52LB5OUy63TSYJLFkC09BIS1h2VUwZRnFB21HxU0HdVEjijA+OQ9qG4P39MXlZ4KcFjq4iyyo3Og6qrtI6iRv+3kaLD498FusGy3WN9/Z9vrPRoGYo6EplNpzkGQMvQZEhzQuiXGDrKpeaFsd+yiTKuNq2sQ2V+8OA5brJw0mIowlajs6iayErggVHxY/TKjnt2MMQgrf2J1xvWYyijG+tN3FNnYals+Ba1CyFrqOdRvm2LfW0qdKQxWnAyuNyhLnrybwR9EbP4daR90jS2SmhDVPyvHJqeDAMTsfv09IRn0QknpU4fVYS8mnXexEJ128DPi8p/KTEzBcBv4nXdU50z/F7iS+iQXtR8ayr+ad65p4Q16NZxMW2zf1xxLfWm8gnbgjrDfMRnaAsi0du4Lau8HAc0rZUplFy4ueZYqkyUVZWzWgN8yO7shMj/WGY0bQUDKUKovCTHFEUZGnG7iTE0QXb45ArTZOtUUhDl3n3YMbO0KMsSlJgrWFTChlKWGsY/O3mmKW6yf1xyLKrgySIC6lKUrMUXE2hlEpuHU652DAxFEHfS3kw9GiaCltDn2+suNwZplztWEyjlAvtGnVTJy4KDBkoc+KoQBYSeQlxmtG1BXuzlPcPfZpayfYopK4L9iYheZlzZxCz2qpx7Ce8tmzjhQUr7TqFULm6UOPQS6mZKq+tNNjx4OZSi81RjKuUHEdwoWOTFBKX6gpeVuDlEoYE+2Of1VaNpm3QrEnEOegCwiRHpiQtSrKiwJagFBAj0CSJQkBNhqiAjm0wDQtkIXNnFKEpAlsu2ZxmtNQcqchZcG12ZznfWK1h6xKupXE0i7ncrMjnK4smByEs2jJ5ljMIMmqaTFwKdKlE11W2hwGDMEHkGbO0RBEyDVNDkWW6pszsRAJjagrXF1y+ttJkbxrzylKNOC+5seBg6hpxmtO0DF7faGCoCt9cqVOcXKtuyFgqbPY93jmcIJU5pizx4wdDbh+MMeWcX2+PWK6bWIrM11eaqIrCDy51eDhJKAFdFihSiZ9lvLxQ5zjKuNqx+MXDEXVNJi8K1hrV4q1taae2YHN/aoBjv1ooPl7ZfRKJGQQJN3rOxyKAgZNQiZK7w5CrbeupsohPmx+eR4NrXhRP1fWeN6Z9MbyoZPWz4EX47M+J7jl+7/BZJ9+vcrL+os/xaav5T/pbZLnSFTZOkphu9JxTUjy/Ljw9anTeZDMI0hMZw4llmQSGXAn/KkP8nCDNGYQpAGt1g0lcnBIGAFWTWWxYLLgWTbOSOxwGWRUA0a8qtQezEEOWSfOS9VZV9XUMwQdHHiuuzvao8ivtORphJvEPrneZxgUNQ6OUYH8S42rwq50xd499/Cii76cMvJhF16I/i1muaby3P2YWxNw6mjHyI24fTRl4EaqsEBUliiShCommY9L3CxZrGrYmszOJeWnRZnuS4ugytw8mrNYEv9id8EerdR7OSq4vOfS9mLoq8YsHfaQioz+NeTCKuNk12TyekVPgBSVNU+NwGvOHyzZ3xjllUeCHMQ/HPpKQGAcJSAKDEllAKVVxvUEOji5oWzqyouCaJi8t1KgZOq4uqNkyy66gH0SQxUziHLkoGQcpddvgaschkVTSQpDnKct1lXf2fOqmSt9LELLM5iDAtRR+/mBCy670yrJU8GE/rNLdygJDU8mTGFcTHM5SunUTWZJoGgKQuLng8O6Rh6UI3jqY8eeX2+x5KVc7NoqqYGsyV7su/aCkbihstHQOphGyEPz5tS5C0fifvrXBN1caJIWgKAUbLR1DkVEVhX6Y4BoKiizx84cef3q5zTDMuLbgVjZplsooTDFVmZWaTiEJZFVhya00zV3HIEhylpzqONdQTyQK8ik5nZNcP6lCILqO/khK4VnY+ke7HnlejYtBkHxEmM9UfR+OQ9qmyvWuze4sfqKt2Nkx/mVrID+tgWi+6H3a738XCNtvC16kxcXnbW78snFOdM/xe4fPOvk+r8n6WTuhPys+q+3Q2S3SXs1gHGdcbNsfS1x63HP3rJ/n6XFphiFL+EnGNEpRqbxFkarjj7yYiR8zi1KKokqBOvarxLSiKE62blVcQ8XWZK60TH65PWYWpmyNfJYtmTd2xkiyxKJjcRCkfG+jwU8fDPGjlCDO6Vg6CIkkL1h2dbZGMZc7JsMwYbVhUEhVDOwfrjeYJeAaCpQFD8chqgSqKpGWEpoisz3ykSV4MI7xopj3docnWk2lIj0NjXEQcRxktC0ZW62a6RQBSw0bIWT+3vUuNV3lm+ttBhG80jG4NQgxVYl7RxMsVeLBOEYVEvvTEC8t6NkyP384JUxStLKgUMC1dFZcnb++N6JuyEyimCMvZBZlPBhG5EVJEoZkklRV3CUoShAlaLKKH2XkZcFa0+RgEpEVEtcXHBxVJSkVlk2ZUJJJC6gbVSSwpSust23WXJ1eTWVvGnPnOGS1rvH+gU+apIymHgM/ZnPg48gFe+OAuqXws4czViz40eaMv3e1g6Zq3FxuoWsaf3SxziRIcQ25kqVQcuvIZ8FW2RoFvNSz+Ktf7/ONJYv/9d09aprgjZ0xULJUU7nasfjh7TELtsztYw9K+IONNoqi8HAS8YPLLQxFIAmVBdfC1lXqukrfjwjjnO9ebPKL7Ql/tF7n/cMZ667O3YHHcVDpvLcnIX6ccrNtsTMJOfQiiqIKR0lLCcdUK3mOF6NSxWm/tz/FkAUfHvsYijiJ104fIaVPWiRGWcH2JKKhyRxOo1NicHaszWOC517WZ+eMs/i0Cusn4dO8e59WsZ2T8afhRSG5v2my9VXhhVtcfMbmxufyEs4jgB/FeQTwOb4KnL3JPa6VfR4T1OPXffz5P+l555ZhUV48EhkMH7+JzWUJsizI84o83uzVGIQpPUfHTzKSLOP+MOK1ZZftcYQXpzi6igrERUFJlTIF8ObOiEtNg+1pzEbT5o3dMTe7Nu8deliqxErd5N4w5HLTJMxyJlFGxzEYBgkNXeV232PRUTiYxkySkksNnbuDgK8t19kcVTKLxZrOD28f0dBlhlGGH1dNeLM4Q5ZKjv2cjiUokXENjX4QsVizuNy2+PnDEWEYI2SYJPDqYo17fQ8/LVBFiaVrXOo4XGjo/Ntbx1xpOby/P8TUZLYGAaqgihy2VEZBSlrkCKkkzgWalJEjGAUFFzs20zBBE9VWui4gRSNJE0oJ4hDCk8jaJVclykpGfkxO5X5wHGRIJUhFRoTCoq1gaIKjWYEtF8iKYBJDkSfUFMEDL+Obqy51TcGxdISQuX0wJi8qR4QgKVltWQz9mGkYEyUFrqliqALbUBn7KaIs2PNT/nC1RiqpvLTgoCuVtOCDI49rXZNRkLEzDrnWNXn/wEMRAk2RsDWVSz2Hd3cndEyZ9498/mC9zjAoWWvqIMlcapp8cDQhS0tataqpy1AErqHw1r7Hdzbq/HRryvc2mozjlFuHU15aamAI6dTb+N4w4MaCy9t7EywFurbJOK52GpZrBh8ce1xsWUzDBFlILNYtDEXi/YMpPceg42jVQg640jK5fexzrWMzTnJsTf5YDO8vHo54aaF2OobyvGAQprQtlQ+Pfa537EcbOR9baD4+pudxv2fJ9NPG5qfND58U0/pJ88OXPWc9jznw0/6+3wY8r3vDp137iz7vp53/Ra5/HgF8jnO8wPgk258vG483qX2S7dATrYpkwdYoqCpFJ84Lc33t49uk89hTW1OI8pKbvRrbk+i0m9zWFNJC4rWliuROg4QwTrjb9xCKRAkUecn9/oyJn/C15ToHQc6CW3nsvrRYZ5rkbDRN8lIiyUu+d7FNhsQwzFlr2uRFQc/SGIQx31hpMElKLndqvLzosDONcXSJf/feHl4YoYuSN3anXO3adFyTuqHx0qJLmMOya2EqCi1LIc1KrnQdRmGCo8HRLOD+wGO1aZMJQZzB9y+3eOdgxjSMsWQJP0rQRUFZlvzPv97Hlgt+unXM5V6NQVRyc9FmGJe8utpAkiQURaApKjVDZ71t067XMFSdFVej7/ssuQYFMoYsI4SOq0msNSwKqnQ1XYI0T9gaV8TL0WUuNG3CBK53a5iiICqhpVdVWy+G11drIMEoyoiyiE7N5DDOuNJQGHkJD8YRUZISxjFhlDCNCvYnMYbIuHc8ZcnVqTs2HUvCUmU22i4tS6cociZJyoIp2PcLFKlyDgizknsDnz+71ORgVulP//71Hu8eBiy6GqqAoixZrBu8tzdhqW4xzeCba00OZhmrDR0/yrBVCNMc1zS4slAjL6EsISsl7g1CXl6s8cvtKa8sWLx9MOFuP+Ba12QWZQhZ0LY04qxkpW5yNI1YbxgISTBNc9qmRsvSuDfwudiyGAYJuqZyoW1jazI/fzhmwdbYnoT0Zwl1TaBKlX72leU6KVVc7+Nyhff2p6y7Ku/uTTiaRcyDIwxF4sEw+BjJfVzT+ziepsn/tDCJJ+HTqoCftkv0ZeF5bbu/cFXOz4jHJWJf9rXPNiI/7Xk/Lz6N5H4VMotzonuOc/yG8FVMunNSO78hnrUHO1stMhTB5sBHlTi1MJq/xigv2Ghap01ptqaAxIk8IfnYJCnLJx3nilQlQDUMHo5DDKWq8tqaDBJYmowkSwyClGsdk/ikYe0wSFirV5U1WQh0WeJgGhAlSbVNXEq0TI0LLYs4L4mzsrIiaxrsTkIutGwKIVh1LY79iO9uNClE1YF/Y9HlcJbx8rLLsZ/w4wdjZKkkjDKGQcZiTWXgZ9zo2MiyxIGfcKnjsNpymEQFaZ6xOwoZhxnjMOIXDw4pkgQ/K/gPHxwhigykEs1QMQwTQ1d5a3eCH8z4j3f6UOT8ZGvCpabG+4cBGy2DWwcz9qYxghIhJDRVIUoLFh2dbk0jSBMutmocejFLTQtdUagZCk1LZ28WsOpomCYIGby4wJZSdkYespA48hJeXXMJs5LVloOmqKcxzf/olSWOwwLTNCnSDLWAw1nEjW6DUmjIisqyq3PkpezPUmxDwUtilhsGm5OCC02Tg2lMU4WVTpOFhoUiYBKk6LKMLgtWOg2udy2+vVbjl7sTZKngcsfgr28fYypVA+LPtod8b6PFLM6IS1iv6/zo3pBFS+ad7QFFljKJEm70bIKkpGZphGlJnOW0TIVJmJJlOVFWedBebpscziL++GKHh5OY670af7je4G4/xjUUoiRhczBjECYMggRdkbh1OEPIgqahkBcFQz+h66j84uEA60RfLgvBLEr53nqDe6OIP77YZqFukJYSlqqwWtcBPqafnS8OL7Qqd4r1pokhV+OtbVX2fV1HOyW5p+PuGYjZl9lh/yKQwOdJSF+Ev+/z4nHJ2JdJDP0kO21EftrzftlOHF/0+p8V50T3HOf4HcXZ1fKpb2fN+FgV6HSy0eTTyfQseZ2nO83jS0+9NueV26x45PmgskDKs5PZs+T02vPrRFlB21LZaJjcWGwwjatrpFnGek1ncxyx7Opsj0OiJMFWZSRZRVVlvrveRFWr1/BSz662bh2D4zDj22tNhBC8vtogLgpalsYorCoWriqzOwn49noTL4EiL5DKnHEQ8XcPhsRpSpKVGJrK/ixiHCa8tlhjfxrjGCrDMKJrqIyjklcWHcZRgaurDJOSskjp2YJZVoIkIwNrruCDQx8/Sdn3Ukzg2M9w5ZwPDqZYusbxaMowTjHKykNWylO2jmcs2zLjuMBRBdc6LlvjlCtNlYeDGZMoRgiJEsGVToOBH9EyZHqOxmrDYpyWdEydvWlIz1H55YMxaZry/lHAH6/W2J4mvLLo8NOtMT1LYqs/oWYalEKgSQXTJMWQwVBy3t0bMQ1iaqogTEoutRySrOQ7GzXuDkJyJGqqxCDIqSkSEgWTMCbMMq53qy36v3d9iQ8HCd9abZDmBT/bnPD9K22yImNvFrNUM3nvcMZG22XJ1jkKcv6f39tgc5rxzQst6paOKitsj+OquUwWhGnG3jTiXt8jKwrCrCDJS15ecBmGOX+00ebBKOAHl9sczWKmScGfXmlz+8gjKyvi6kcZuizxk61R5RV8Yikmy5X8YhDmXGjZ7MxirndtbE1h0TXZnMT8k68tn1qIXWhZNGwNWYhTr9v39qfVc5w0peUnftEvLdRwzYrUzq34llzzNEXtLD5LD8GzzAW/LfhtJqTPE2d7JL6s92iusY7yz1fNf9o1PwsZ/yo+73ON7mM41+ie43cJT9M/PU2zO+/6nuts/SR75AZ8NItOdbpnf57r3wCOvJiGLrM9ibjccaobfVE8Qop7NeMRmUSSZcRpyTDKaJoViVWBfT8hThN0VeOlhRr3jz0sTaZ20gz0t5sDXu463B34vLTkcuwldB2NrRNbr3uDgO1xyJ9cbPL2voehVJW5QZCSZSmH04TjMGW1puPHKfuzmCu9GkEYs+9n1E2VS22LvVGMqQvuHntcblsMwoyyLDkaBzRrJqoQ+GnKYk3nYBLRsA0eDGZYqkSZw9Y0xVJLNEVFSAVZWuDaGrMw5XgWkZUyMjkIia5daWxvLteZhil3jwO+sWzzw9t9LE0lSyNUWeUbG00OpgllnjFOShxNZhpnqGVOUhRIQnA8jWhYBvf6Edfbgu2w5J+81KXvF9Qtlf/84SE1tSCXDFZbJmlaNdKlpYQXZ4RBiKULMqlqADM0mWlUsD0KaRow9GPCXPAnl5scTDL2ZhHf2nB50I+YpTl/tO7ycByzUNMZ+iGlUGgbKqVQ6FgK2xMfP86QygJFUXmpV2OS5Cy6Jjd6Dr94OCZMM+4ejXllocU4SbneqxEkCfcGIQuOhpAVXE0iK+E7F7roisS9QcDFpsF/utPnQtMgyEre359xtaMTFQJXU1hw9RPJgMOHfY/LbYemqbA3i1mwVfZmMX6UsVA3cXSVl5dcjmYRSZqTntw1VUBWJIZBRstSmIUZt49nvNRz2PFSvnehdTqmjrz4kUayedzvJ+li4bNrbZ+m5f1t3rr/XcLz1Np+nuf4Iq/nWe8vzwvnGt1znOMcHyOzn3TcvOI798g9azUG1Y1ZleBgEn5kJ/aY6b2fZKw3TMZxzuWOU1UhTiq/g6AyvU/SjM2BjyGL03S1tJCwdJlVV8c1VC62bfb9SsO55FpYqsyRF5MUGW/vTzBkwfuHM1xN8POdERdPPHanYcwvtgaIouA/3emzPfK42ND4m7t9oizHUis7sq8vuiSF4OZSnf/+6ytkSEiyyjdXXbbHIaO4ijVWyoKtYYihFdzvz2jZGklWkOU5RZ4yihLKosBSoX5iqVY3ZaQy46UFF0WRQZZ4ZcFkrWGyfBIZa+kKjirYHEXYqoQuF3RdnQVLoUDhcq/GZBZxOI3YcGV+/nDGK4s1aprAUFUudh36Xsp6w8QrJJqGjCwkWoZMs2bScWus1C2udmv0gwhbhXvjgpfbJpv9CEkIojil69psT+E7F1zirKQkB6nE1iTquqDj6gwSiRsdiyiHIClwlJKmKVEIlYvdBheaBu8fRWwOplxuarx/GLHaNPjzq13uDEIapsKtoxmqqvFgEDKLQtI8ZxwmyBKEcYEpCyxNpR9kfG2pxiRM+NnWkGtdk4dDn0tNk59sD7nesxFCUEqChqkgSRJNU2bgZQhK7vY9vChFlyUGXkLHVnnnYMYsjJGKgt1p5W5xtWvy9t6Ul3ouR0HCH260uNixOfBTbF3F0DVURcEyqvGz7GinHs/BycLNUCRGYcowyFiuVamAqirz+lqTO6OI711o8XAcVprbJKOhy48s7h6XHZwdn3Md/ME0/Ew2iE/SWp7d9v4y8NtUHX7R8FVoUr+qiurjz/O4TvxFwjnRPcc5viBepIn/WSyCntbYcHZymnvn7s7i06CIynosp+vop8ecvVHneYGhVElQPUc/ffysNEKWxamGd3sSESQ5hiLoOTpRVhKkOVB1p0dJgilKfrk9xlEltseVNrZraby5P2UWxhxMg6qhKMwYBglenHIwi/gvD4Zcblss1S02xwnrTYvrLbPSCqsy7x5OWKnpZEXB+4dTXF2w5GpsTxJWXIO6YVAzFCZRpZ/cn2W0DRWZkgLB37/eYxCWXF9w8NICJIGgICvAUDU0RWOWFlzv1ujYGm3HwDFNRmHGoiMzjlI+PA54ua0xi0uuLtZpWTqKZvDNVYeHw5BSKlGEYBCVfPdig7SEb11sc3WxgW2o3Fh0+PXuhHVH49BLMBQJTVUZ+jHfWHGpmxqubXC55eBaMhfaFpZpVGlnusS9fkASx7zU1fjJlsfVhswkzMkKCV2AqatEucy1tsl7h1PSLGcYRLx94OMlBRQFWQmykCjyFE0RvLU3QZdybEXi9rHPy0t1xnFG21S4PwxZcyQ2RxlCKk7cNnRaNYMIwcWWxTdWXX7+cEKeZfS9kF/vevzDmwvsBSX/wzeW2RlFCKmkoVduGaMgo2Fq5FKBBBx7IXf7Hg1DIUViqW6y6GhsjxNeWnZQFZW/uL7A321NuNQ2uT/yudZ18JOcW0ceZZbRn/ncPvZYdFTiNEcIQXoyLtYbJmkpseSaRFlJp6bRdbRTV5GeoyPLgr+42uWN3cnp2LE1heGJb/STLMGeND63JxEtQ30kHOKTxjjwVK0lfDnazhfJo/W3EV+FJvWr0r0+blX5Wb3pv0qcE91znOML4EWa+D9thT2flJ6lsWH+2ON+uhfbNoMwfYTEzv+V5Wp7tDhxZzj7OvKiii/1k5ydSUyaZqRpdmKSn+InGYcn5vmH04ilmoqmKAzjgj+93GZvEtEwFFRFoefqmKqMqVQ/O7pKURQ0jYpcWargQl3nwSggy0r+0UuLuKbO1jTh22ttGoaCJgkeTkKmUYquCMZhiiSBIgRCKug4Gn4C3ZrC0TRmvWmx0LRRFJn1lsUbux7/t9dW2BxEfP9Si/cPJhz7MUmScDwL8ZOELEu5OwgwVJUSwUpdo2lppIVgGuUsuxpeIfOD6z2WayaWJtE2JP7z/TFrruDD4xBbhfWWyebAp+doeHGGRIGtCH69M2G1rvHW/oyWXvKgH7LV91myFX68OeBwVjVUyapCz9Z4bdXBS3K+tuzw7lHIy8sOrmNRcyx+cLXD/WnB9a5Jx1aZplBTJXRVYnpit3U0C5n4MX4U8aDvM/JD9kdTZFmm4xjYuspaqwaSxPvHAWt1nYEX0rYt2jWDl3o1TMvgpeUGHdNAyHB/4CGTEcUpHxxPudsPWK8b/HRrhCoJaprE1ijgL2/0uHUU0rQ12qbOLMnpBxl/sOqyOQz57kaLflhwtW2zNQq5Pwx4fbWBpihoiuBKS+fD44A/2mjw4/t9epbM5rFHQ1e4OwhomSorrk6Ql/hJwVJNZ3caUzdUXF1w7CUYsuDWkcdaw+D9w1kVjT2PwdaqHYe5ROfhSZLfPP4XqubLeSLgvOFzrt31k+wkTOVkLJaV9jeFj0mHnjZm52PwiwQ3fNo89tvuXvAi4Kt4776qz+djxYxn1It/1ffMc6J7jt8pfNWE80Wa+B9fYZ8lm2ddFubHPu21P83ayI+rRpuVmn4qZ3j8+aGKTh0E6enrmDevjeMcQ5GoazKjKKtuypqMoUgcTCOWHI3NUcSCa5AWEo6u8qeXO7iGxsNJhKFIXG1bHHgpLVNByBIbTRtLkymBIIUfXF2g5VhIikLLUOnWVP7m7jG2LPHqksOeF5OWEnFZIBUlliII0pKLTYtZXHC5YyIho8rgJwlbw4iaqRCGGUM/w5QltgYzFhyZ/+Nen7+8ucC/ee+Iy20TRYK0KLFNjaGfMPRjkjjlYBqQZBnHs5gDL2Ka5Cya8GDos1w3uNx16dR04rwkKQtudg1+sjXjSscgSEreO/BZcjXSPGdvGpNlObcHIR1LI84yXFNla5IwDSNsTeKdwxBNSExmE97dm9HQJbquydEs47Vlh/98b8QPLjZ4/yBgo65yNItJ0oSXew6OZRHnsFZX2fUyvr5cI0pKrvZcGqaGn8tcbNtc6tUoJcHlrktJtWBqaAqKLDCkkiIv2Ox77E1irrRM0gy+vuLy9eUW316rk1HS0HXW6gZ7kxg/yZGLjN1xwDsHE24s2PhZSVrC/iTizZ0xjlaSFgVvH0wxROW08ZOHYy62TDZHAd+70OSHdwY0TMHtoym/2hnTsTVcUyeTJK60bd7anwGgKArduoVtqLzcs9n3EsSJM8ery3XCJOflRZdCEmSFhKFIHHsxuiLxxs6Yiw2d7XGEa2r4SQ4lp0EpQLVDURT0TnY/AFxDO21EmzdtyidjpW1pJ9r2KlXtSc1Bc6nQPIXtaXPAJ80Pn4RnJSAvwlx3jkfxIhRaPkvz5Fd9zzwnuuf4ncFvqrr6PAfsZ90KeuS1nFSbjmYRDV35mEfu48d/zIVBVz5WlbU1hd1ZXNkiPamqpCnIslSFQ5zx721b2qk8QZaliix1HBZPOs4XXYOjIOPbq3U2+z6HswhHkdgc+Lx/OOP1xRp3BwE705gszTiaVn+Lpcmn2mGo3CLWazo1VeCaCg9HEQs1HT8vud0PEUXB1mAGZYmmyLy9N+Xry3X8tGClrtMwDNo1g6GfEUYRHVvhzpGHIudIFKRFiaGqTOMCR1V4Y3fC6ysOaV5iGSZ/eKFDQ6viYoWQKUrQZIjygnf2JizYAlEUHMcSqpCp64LDWUR/FmEqgl7NIS4ENxdqPBjFTKKMi67g3YOQNBdc61Ra5I4pMwwzChRMucRSVGoG3BlVHrLbk5iskFAUGddQMVWFv7je40E/4vuXmrx7FLBSN/j19piupfCTzSHWyXchSnPu9X0uNVXe3A/477+5xiiq4pcv1jUUTWOpZvD9K132ZykXmxZFURJT0qsZeAU0DJVBlLLq6vxyd8L1rsUvtsf0gxQvybjStogLaDkGX1tpst6u/u6lusGCY5AV0HF0FKBnyRz7CaaikmQwDhIGQYYuJBqmzMEkRCrh3sDj5QWLDw8DFKnkaBqwPwloGAqGLPNgFBCnKZMwRgjB1Y5Dr2bw8+0xLUNhfxzQNWU2RxFNS+HWkcdGXef4ZKdhGFWhG2sNk0M/4+Ul91R7OwwzXFM7dWKwdQXX0B7Z1j07Ro68+PTntqUyCBIutm3GJzKHtqU9Yvd3dlx+UvzvF8HzIiAvAgn7XcaLtKv4rPiqF0vnRPccvzN4kaqrXwaedQJ7kmRh7n8719qO44/cEz7JGPzsTfVj1z1TrXqSPGL+vPMb/Efa3DNSCVl6ooywbVWuCneHIQ1LwVZlJifpUi8t1Nj2EzaaNl6ckhQZ+16lHY6ykvWmyTTJud5zqBkqhRAs1C1cU2e5bpKmOTsjH1kqudufUpYlpqIwjKoK5/9x+5jrPYeHA593D2dcblqUEjQdk7hU+Ic3eoyjEluXMTWFrqMx9hNGYcA0TJjFBUJW+L+/tszWKMI2BUKUOLqMZcggCSQEf36tw1v7MTeWXHS5clc48lJmUYqfpkRJRklJTa+8XGuKhK7JbI5jVuoqeZHyy+0pGy2Le8czbKVkZxRi6xo1WycqVK7WBX+3NaSpg1cIGjpMo5w/vtRmaxTz8nKdN/c9HE2Q5zlrbYvtScKlls5/ujtgHEbYIiVD4f4goqnBT7dGXO9YWLqKJFeBHjcXHD449Ph7lxscejGuqbJgq6R5wcsLDkgSN7sOYQ5/dqXND+8MkMuEvdGMvpfwb97ZQ6byq9VkAQUnlncFrqkgRFXpD/OSGJV/eL1HjkTfj1h1ZUZRzkLd5hurLVqOweWOQ5pXTZHfudimWzPIy2pBlZYSnZpBx1LZHkeYJw2JXpTy9t6EJUfh7jBgwTWYJgXXug4ATUPh/ihkrVlpq1ddHT/NsTSZCy3rI+1tkLJWNyrpQv6RbOfxbV2odOxHXowhV3HYj3uYzptB58fP0wjn+Cp0l18mfhtJ2G8jfhvue7/J78A50T3H7xRe9MH+WfCsxP1JTQHzKupZL1x4+o3H1p+csnRWN/jIDVertljnz3X2umetx+bHwEdEOUxyNgf+R2ETScYgSPCTjOsdmyQrESfhFIZSEYKOqVWd7kKQFxJfX66zM4250XMYBhk3eg5v71e6yZZVBRF07KqymgJdR0UqJdabDjVdQ8iCtYbBnUHEf/vKIv/Lu4doSklNg3/59g4tS8HRNb6zVmcYZdQtjTQ94SQSdByN/VHExVYVPfzyQo1/f+uYZVclz6FtGWQ5BGHGSt1irWHwwztD/vxKnff3fVZrlU9r9Zkl9L2Uum2iyRIXWhaSJFioG1xr27RsE0fXiNKCNVfhTj9iuVVjf5bSseDdwzHLtsr1ns1BKHh1qWquWq2bKLKCpkr89e0+NQ1+ePsIOYt4b39CVkhoisJi3eTD4wCdhKGfUqomS47G4TRkEiZIZcHDccSFlsE4hkVH4dahx7c2mrxzGPDdSx2W6zaqKrPi6kzjkutLdRbqNl9fbXA4S/n+lRZ9v6RmaLy1OwGp5G/v9xGUPBgGOHqVDmaqEnf7AVJRcDQNUKVqm/84TCiBP1hr8GCUsuRqXO/a7EwiVuomt448Vl0DIUmkeUnLNrjStvjRvQFf6znEeUk/SHh10SEpShRgHMUM/BgvKbnWdRBCcLNXo+foqIpCSdV8JoRgvWkyDDMutKxTv9z5d3OxbhLllS800pNJx+nPUqXnjfPKtcGQxUkE8KPj7siLWalVOyDPwyf3qyIdv2vFhxcNj+8W/CbxSd+ppzVAf1V4Md6hc5zjHE/EZzWNP7u9+bQb7pOshs6GSjxCmM/oBmUhTiu18+CHOTkGGATJ6fWOZhFJVjXbzB+vjMlL/DRn0dYYBlkVAxxVVc35Tb8EpmGMKioSVOQFuioxDBJ6rs6Fdg0hBFeaJm/sTlhrGPz7Dw5ZtVXe3JtW28dlJWsYBAmLroVr6NQsjZql46cp0yBGULDRtvgvD4b8j99c5u4g4uE44fWVGvvjiNWmSZCVKJKgLAskKWdv5BNnBY6h8d3LHeJS4VLH4e39CYqAKMkxNIU4L9GVEtdSud33OZwlfGvF4Z19j6tdi2ECl5sG26MQL0wR5GwOArw448hL+M7FNg3T4ChI+e5Gk3GQstSw2ZmldE0IkwRdlXk4SVivG0yzgiSHriUjFI1LbZuNtk1ZlGwNfPIs5d++s0fPUXn7KKRnaxxOPPpBgiVL5BRMwgxNSKR5QVEW1FQJL4NSEqy4Ou8eBFxyq+hc11SZBhmuLng4CsjLElvVOQ5iGrrAVgWqgKEXMwkrz9tXVurkBfRqKseTiAtNg0M/4b++2aPvZ3x9xeXBwGeppqGqMoZmMItKHA22hwGaKPi7B2M6NR1Thf/wwRGWUvLju30utQze2JugK9Vrvd8P+NH9PlfaJm8dTNFliStti0M/p1ezWGtZPBjFfP1Eh9tz9NMkvyMvrrTjQuAnOX0/IYhz1upGpT0/kRa8sTuhocunXtOyEKfBD0ez6JHI7fnYm0sbaoaKa1R63bMNn3MisN4w2Z3Fj2h8n4ZPalA7O77P/v8XrbJ+lnN/30nu8yR2L8pC4tO+U8/SAP08cR4Y8RjOAyPO8buOxw3kn2Yo78fZR3KFJ+gC59Xb+aQ1r87OU9Om4UnK1EnAxPy4aZiwM43p2BqqBMd+jKurpyEQB9OQPC+ZJDkbTRNbU3j/cEaW5riWRstSGAYZhiJhaTJv789YsVV+vT/htZUmjqGSFwX3BgFLlsztQYCuyiw7Bm/sjVirmxz7CY6uUjcULF3lr28d8UrP5DjMGPgpNV3G1GTWGyaHXkxdU3lzf0qZZ6RFyaWuyyyKSQuJiZ8QZhGOZnDox7y+2kSR4WcPhsyijJsLDpOwqlo7hkYYhRi6jkSBpSlsjSLiNMdSIMlLOo7OLC5YqOvYisy/f/+QP7/WQRKC7VHI7jSgaWjsjAJMOSdFZaluMglTvMDHcWpcaWqkyAhKDqY+W6OQK50a7x1MeXWxxoeDAEeRqRsKWVlysW1xHBQYckndUNieJMhSyYJrECTZSdXcZHMYY6gq39lo8NcfHtE2ZdJS4vWVOpujEEWGlqmjqSqaIiiLjF9vD2mYCksNl6W6znv7M0xVkOTw/UtN7g4jvrbkcn/gE8Qpt4+mNC2dBdegYciMo5w4K3g48Ljes9mdxmQ5/MnVHg8GHl1HJ0gLvr3a4Nd7k8rLWINxkGIaOld7LkVRcOd4SsdWmYQZRSnRsVXirOTmgouQBWmWsTeNqWkyflay4ur0/YTFmsrBLMXRVdYaxiMV3WMvpmaopzscc5KbpBkgMYnz03PsE528elL1lWWBccZuz0+y0wCJOR4fp09rHB0EyVO1u08KpnjStT7v/HGOp+Orfq++yOf6VT33l/kan5WvnRPdx3BOdM/xu4jHJ5dP+xk+amI7q+89e/zZNLT5TTw/0QXPK1fw8Zv1wTTE0mQoYRhmWJqMrcmPyCuOvJi2WXmIyrLgYBoRpQlRLqhpAglQlUqiYKkydwYBYZrzcs9hdxrRNBQO/JS8KLBUGahiiV9dqHF7GGCcPKZQ8uDES/X/vDvkxoJNlpfoMoyijKW6RdvSEEIwDBJ+tnlEWUJWCi60dCZBRilJzMKEAjBFSZCX7EwirnVsdqchrq5x7Ecs13SCTGJ76PG1lSaDIKWmC3ZHAYYq8JOCnq3xwbHPtbbG/XGKo8o0TDiYFby22uK9nT6KLLMzS6grGfteTs8xqup1lCKKFMsw0YXg5lKNQZBy59hDKUsGfsrr6zV+vePTq6mEaUby/2fvP5sky9LrXPA5WroWoSMzUlRWlu6q1t0A0UQ3aBT3XjMaQM5cmxkbmzGC/wAw/II28B8A+DQ2NjZ2yf5wZ8jL4WU3AUK2ri5dlVqEjnDtR8v5cMK9PKIisiKzMiuzumNZhkWkH+nue++z9rvXu94s58WFKlGcoEoSiBkjJyHJMxolnaGf0NJFfES2BwGrVZVxEPPBrsdiScLLJL6yXGEY55iywEbfY6lqUjUUvrRU5T99uAdxhKYraIqKrUkYkgAC1CyVkRejqxLfPF/nnW2HKEr41WaHtm1StzRSCimHrYqM/IS3t8dEccxKTcdLBF5bLLEzDLANlYEXcb5m0i7r3Ox6ZFlGDiyWiqioIstsDH3EPGUQJNTNwpHhStPiWsdFkwQ2hz6ikLNWs4kPLL4+2B2zXNbgIOFREsVDlf10SeRu32OlUvhMrzWsaXGJhqkcWIfl06pohVVccU9plhEk2TTKNVkpOdovjyNMs9tOIg6nIcKPgqdJqL5o+Dw+q0kQ4dd9AnL0szyrjHaGM5wBOH5Z6SQN4ayGapLENqvNnd3/6FJUu6QXBSEOoleTaPDRgbdlFdpDBKgb8kGVqcNJb21bI0gzvCjFUmVKuoIXF/KHYVCQYwBTkfDilJom83zT4Hbfx5QlbvWKDPoozTEUCTeMudKy+PF6H0UScFyP7d6Yv7yxz6WmyY/vDvjKckGadEViz014baFKGKc4YYwuCURJgiLJjIKYui7w/rZD1ZQRBPjyap1vXWwT5SI9P+HLiza3Oi6LZQMvzrjStNnzYoI4Zd5W+NV6n7ou8N7WAC8MGbghC2WdGJHnGip/d2fEallBEgT2xgmXmgabA4dmSeHa7oi6LhChUrU0NFWi5wTMmRqmbnKlZRGnCbf3XJI0pqIIuHHCXFnlRi/m//jGEgtVnfmSwVrFYH8csjv0iNIEAZm5qkmSg6kqhEnGnp9S1lT+xYtzxLnEtptwrqYyCHNemK+gayqXmhbbQx9NgmFQSFb+f9f2eb5l4mc5t7o+TV2g43h8uDckQ2QcJPT9GFMR+F9+tc1qVWd9FPK1cy1kRaFuqTT1QiurqyrnmyXmSkUU/nYn4Jvnq9zu+QiiQJwk2KqIlxQFHp5r2dRNlTlbYXscIgkiLVvl22sNFFnmctPGVhVemCtxreMiknKz47Bg69QtA0WRWKkUFc1eX6oQpDnSgW68YarTKCkUCWMtS2VrHB0qELHWsJBEkSDJWSppUy37atWY9qHJ6sckafO4fna0v53UpyevH9dPT1qReVTN5K8rkXoS+DxI7kSn++tOctP0k5X/ToMzonuGM3wB8Fk0TQ9jFj+bNQ5F0tlJg8tRL96JzyfMlAse+Z84bqJLLOtqEcGyNa7tH1NmOErRFIE9JyTLMqq6zPbIQxMFdpyY59s2QZozXzaYq+iMgoyVqoETxtRNla1xSFmR2Bj6GLLEh7tjvrpcIYhTclHCS3O+ea7Cz9fHXKwb3BmE+HHCKIiomxLv7Y1RRYEsy/jfr+3RGfvIkkCW5dwb+Ly4YDPwEhZLCgM/4l7P5VzdoGWpbDsZl+cqLFdNlqs6v9ocUdVlaqZC10v40lKJO10fS1VQJJVukFG3ZPpuwIe7PhcaBu9sjLBVkYatMfIT1uoW7217vHGuhiTAwAup6yJ+mFAzFfwk5TuXm+yMI0QBLF0gzQRSQUICsjTl1XmDD/Y9FssWuqZSszVud8YMgiLye6lh0fMivrZS4r9d2ycOPO51HYZewN/c7iKJApcaOt0QXluqYKsy6wOH2/sOoghRJqDLIjvjAJGEd7YGhHHCdy7W+fnGiCiFVxfKdJyAIIwhz/n5+pA8DflffnWfpiHwzvaYr69W2XNCbvUc3lrvo4sC720PqWoiG8OA5xds3t4a842VOosVA0WWiXOBtq3jRSmKUCxU7jkxz7VscuFgQhYlLFcNdt2Yhq1O29ZmP0CTBLwkoWkVbXgSwe160XQyNiGlR/XpliZzvm5+YvJnaQXh3RyHhxwVZvvixLavSGhTH9jXZ8nt0Wsd9c6e7afH9vWsKDF83DGfhjMXhc+Ox/UZzrapx0VyT3LmeeoQHu2wM6J7hjM8JTyMR+5nFfCfZgCcJJlNIrJw4JTwKYPLbNRpYmbfLulsjSNatoYbFQ/hibRhQpwn+60PAtaqGjvDghRPjrNUCUkoikq0LI1RlNE0NHIBLjdNPtpz0CXhwKYppWmrvLM1pGrKiKJI2dBAyFm0NcIs53cut7jVD7jUtDnXKPGVc022nZi5UmHdtTUMuNgwud8PUUWBJE1RpYJ4SaTsORFpllPWVZqWznKtxMV2mUGQsz0KkISU97ZH6KJIBnxlucwwzJBFuFjXCOOssN9arJEJMit1k4WSTM+P+Pa5Cv/p/T1KckaSpdzp+jy/YLHvxZiqjKbI3O97fO1cmR0nQVNUzjVMen7CS4tVZEXlYsPgrc0RSZLRshXcKEcEKqpIq2IQ5AIdN4Es4e9ublOScv7LtQ5NLWfHDVkoabhJxv/ly+f423su/+q1BTbdjIalcrPr4gYRURKx0Y+Yt2RkSeLtrT5JGHKr45CmYGuFDAVBRJNE5soG8xWTG92Af/2leWqawo6T8Xzbxk9zMgSWqyaGqjBfMrnR9Xl1ocz1josmi+w5AZ2xy9/f7WLI8N6Ox+W2zf444tWFEneGPgsVk6WKQdtUudFxyLKMm10PP0q52DAJkpyWpbI+KOQE13bGCHnK/ihkdxygiQJlQyVMc0oHVfaqqsRbW6MD3XlKwyisyWbJxDR5U5UPJWoeJbN3ui6rVeOQdd8h5Ez1vcclis72s1lyO/va9JwPECIeXdEJkuxgdeXhooBnlmGfHY/7M3ycBPe4e3sWvvPpCsgjvNczonuGMzwFPMzA8Xlm1s4+yCcR2ocp7TiJSLlhMs1S1yWRnaE/dVWYyBom+724UGYc55QMBV0SqRtFdAuYJuqsDwO+db5OxVK51CodWI8J/HKjz+3OmKEb8lc397lY0/nvt3poksByRUMURWIEXl+q8rP7A1qWwrWdAYqQk2UZZU1CFkTGEfz2Wp09L+WbazXuDkKuNEt4KQfRZ5mKoaFIAh2vKCiwM/LRhIyPdvtEUcbbG0MuNG1GccqVlsXf3enTtjUqhs65VoVzjTItWyFMElZqOu2SzvY44V+8OM+1TsD/9NI8W07GYsngWxcqXOtEfO18DQEJVYKyofLRrkddF9EUAVuWWCrriKJIzZS50/Hwg5AkS9gcZ7yyXEORRbIcFGChpBGECff7AYvl4nP65rLFfSflq8sNNEXGjzJ+ut7jy8s2P7rR4eWFMpoiU1NFwjglQ6ZhyqzUTN7bcXhxzuJaN6ZqyHhRQprlZHlOzVSwNJWOl/D6coXzdYO/vzOiYcu4UcStjoMTJNSMwkIuFyQEUeRrqxU+2BuhSuCFCaoss1o3caIUL4xp2Rq6ImFrIj9bH/Ji28aLUu70PPphTNsupB2aJKDKAn2/6F/3Bz4VTWRvFJDkKXGSM4qLZMeSoSBKIt9aqdEPEkq6wpYTMW8p7BwUJtkaR4WU4Zjl/vSgrR5XkGVSSfDv7/bQpRNs/Q7sxSbHf1qE9eh4MKvTPa6i2qRvHh1vJlKjh9XuPiuZ/l9kPIuf4YMkEM/K/T7q9c+S0Y7gLBntDJ8XPi2J5EkMKg973tn9T5v8Mk1MyzLKujrNUJ8s+U62AZAzfdjOJvCsDwIWbfUgslcknMV5kZg0uYf3tofEaUKU5ARpzqKt8x8/2OafPT/H9jigbGrM2wolTeFG10MXMq53XeZKGppSLDn3Rh4lU6XjxqxUdT7aG5OmKRVdQRJF6rbO4GDpOs0Fhk7I1tghziX+xdUF/vutfZI0ouMmzNkqbgzn6xo3Oj6GmCOIAn6S8dpSHQAniAnSlPVBADnkxAz9nC+v1ljvutiGQpQK3O6MeG2pxLV9l7ZtYisCv9oa0TIltoc+a80S/TBjqaRyp+dhSjnjCPbckP2xxx98aZUwydnoO1iGghtmSEJG34mQZAEvFnhp3uatzRHnKioRIhVNxFRFNochG32PC1WD7SBltWowcEMMRaJkqpRVmTs9jzlL4r0dl+fbFtujCFXM8FI437Ahy1gfBHzzQp23txy+vlLhziDAjxJMVcCLcqqmQp6JLNY0xn5MWZe41494fanErZ6HpUrM2QZRlqNIAmmcUitpfLjroJJTtRSyXKBd0mgaMrf7AaIo0jYV9ryYC3WTmx2Hii6jKxKKLLM19LFVkTDNeWW+xDDMaNnq1NnjSsuCvJDX7B6Q3KatTtt3kOQ4fsy5ujkt5pBmGV0vpqpJxAdP09kJ4vvbIxZtlV4QM182DuvhD5wW7g98VqsGXS+aOjEc7WsPckeZJJw9aGJ6lkB2hlmc5OLxRWojZ64Lj4gzonuGp42HtaSZ9el8nOc9emyaZlMd4YPOMdUKRsmU6AKHbMYm5CDNMtq2xvogQBGLpeOeXxSA+Pu7PZbKGm6UIuRgaBICMF82puR5fRBgqhJZlvH21pBLNZ2/vjvgm+erJFlBkIM0p2mp7Ax8ZEXCCWNWqgZCDn95c4/liknbUvj5xpDzVZ0P90aUDRVDkUnTFFkScKOMF+fKvLU9Ymvo88+uznGn52FpCjsjjygFS4Ghn1I2ZPIc9schHTdktapxvePz4rzNja5PnudUVbje8TEVEHOB11ab3O17aJJAngss13TeXB+wWjOpWyr/cLvLV1bK/PB6l3lbpV0xUMWcj/Zclssqt/s+sijheh6CkFMvl6mZKhIJ7++4NCwFCYFxlGKIGSkyqiJOSV7FUBmHGX4YsO/FKALc7Aa8sVTi7iCgpEpUTYWtYUBVl7F0jbEfYGsKMSJztsbOyKNuSoxDAVFI6Y19xmHG8/NV7nYdXl0uMwqgYkgYioSQC8R5iqYoSEJGzy0i3WEKFVVm3wtolwwsTaEqCbzfdakZCqKQszMMSHJ4falKjEDfi6joMm4Ysz7wWCobjKOUuiFxfxBwsWEzChMu1DXe23Z5eamKH6c0TRVTKxIby/rHhHbPCdFlgSDJpw4JbpQw9mNkKWfPTYsktQMpgRsljIK4WGmQBIL0Y5cFmCnje6QPTEh1u6R/YiL5ME4Lp5mEnuEwfpM/q18Xi7gz14UznOELiodZJpo8MI8mjJ2UPDbR0D4K3Cj5OEP8AeeYaKkmfqMKMA7iQ9rcIttcom1rdL2YuinjRemU5H605/ByuyjFOl/WsQ0FgWJZd88Jp2T7fN2kbWuYqsSVdplumPHV1RrjMMOUi0S0tiEzDmLaZQ0/TqlpCl034hcbA757qUmU5URZzj++3GQYZTzXLtMu6ZT14j1ujUIu1G1udh3EPON8VeNH1/fRxZyb+2OSJONC3eD6nkfFkOi6CRVV4nLb5rcvzzGOBBqGxF9f34c0Ik8T3txyeWO5hhuLXGzbfLjnYMjwwfaQJI35h9sdWpbCwA94Z73PxYbB//reDislmTSJ8eKUjYFPWREZhik1XcZWROpliyBTyNIMQ8z4yd0RZCkkKYMo41LTYNfPyciw5Aw3ynCijDDJGAURXT9BJuNeP2C5JPPBvosmZghCzpsbY0hjru+NubU/KginE2GKKZ2xiy6L3OuFLFc1qoaOpauUDIVxGLJQ1rjXD1mpazRtnYutEr0goWWpRWEJL8ENQoZekRBo6DJRmhMnCZoo8HfrfS40LOZKGk6QoCgSry9XudVzKCsSopATJQleGGMpEnf7LhebNn4CF5s2iiLz9XN17g5ivr7WIEzzKcnteQmWMiMDiJJCo7s5nFrcWZqMpRZV5JwIvrJa+zgJ82DS5Ucpe+OAcRCTzcgP9sYBliqjyyKjIDrUB2alA7NShMnv45aQJyRlVipx9NgzPBjPgub0aeJhnzFfdJwR3TOc4RnEaR9Ysw/Mo0ucx1kPfVpW92nu6Wgk6aTzNcwiWrjlRJR05ZB+cNYcv21rSKLIXFmfZq6fr5sMorRY6lVlGqaCKIqUdKWwHjuIpKVZxt2eB8BKRS8ijGmCF6fkAlysm+z5he5ycxTSMmTe2x3ghDGXGiY/vNllrqRRNoqyr1fniqpr52sWoigiiAJfW62z70U81y4jyyL9IMHWJN7eGtMwZXpeyP/rF/coq/DOZh9dyvnx/R5BnGKrIhebJposs9KwEEUFN8l4fcnig70RLy9Y/HJ9RNuS2RuHmIrIOzsu87ZKlhcaU1HM+XDP5Y3lCv0wQ9c14jglSSElRxBEMgRaZZUwyRBJGQcxv1jvcbGuUzNVdgL4vcsNNoYxL88ZVHSZYSRwv+fgBiHvbvTZH7uM/ZCBn7Fc0QjTnHNVg7Khc38Q8LXlIiJd0lU0KWfXyzhfM1gfRSBA1wmJkoT1vsOFpompabwwXyFIIEJgrWHSGwdYqsBP73a5UFf5xeaIqqHgBRFhmvPW9piLDYNxUEhBwiRje+Qzb8n89F6fYZDQKmmcr5lc77hcnStxreOwUjbp+ynnWxXaFYtLTYswzbnUsPGjlKWShhunfHWlSseNqGhiMVkYhmRpNtWOQ6Fdvdn3+cpShWsdd0oqdVnkbs9jpXo4+towVbpejKFK1AyZYZTROogCT7yoCy/dwxZip8mSP277ZMI6q+s9w8PhWdGcPk2cZgXwNFX3vgh4ZqQL/+7f/Ttef/11vvvd735i249+9CN++MMfcvHiRQaDAQB/9Ed/dOx5Hmbf43AmXXh28Zu81PRpOGkp89P2exDudN2p+f3s0ursuUZBdCjrfJYAQEFoFQF6XpFIJEnilOR2vWhaCW2+bExLr050j26YUDaK5eT0gIwA03vSZfHAzF9n24k4VzO41/cZOAG2LlM2tIPEtpw4TnHjhLtdj7WGya4bM/ZDZElAQ0A3VGxNYeAGeHECgoStiAy8CEESOVcxuDf0ccOYnXFInKQsV0yCLGdz4EKasDmOeH2lzvvbI768UuLDXZ+vrFTYGIbEWYooCJiqTNcNud93udKqcGN/iCoKKErhYrAzdKmqEvdGEWsNC0XMubnv0jQVNFWmZRtsDooyxEGcIIgSV+Yshl5MnAloMlzbGVAyDC42S2wNPEQZLlRN3t4eHSSNZby8VOOX9/uUlZQP90PeWKnixzG7B569N7sBazUVQ1W4vu/yYsvkJxsjrrYMtp0UKYtolE2iKGGlbnGn59OwNZIkxpQV6mWTBUvmZ/f73Nof8tx8maphYCoiTpTz8oLBD6/t8cpClXvDCImEfTeiYalUdJ1/fLmNE8Vc23VYqpn89+vbvL5UxUly5ks6iiTghTH7bszzcyU+3B3ztZUqUQ6qLBNGEW4CVU2mrIs4ceG5bKoSTlCUmfbjlDTNiLOEumFwoWUfktnsOSEAuiQctNuUqibR9WPKujLtE/BxwZSxH08r/M26LrRt7RP946T+etw+x8mTjqt4doYzfFZM2lqaZnBQxe9xFht5nPhCSRcGgwF//Md/PCWms/jBD37An/3Zn/Gnf/qn/OEf/iF/9Ed/xOuvv873vve9z7TvGb5Y+E1aanrYKM1xn81JD74H6WpncafrMm8q/Px+n+rBQ3yWwM7e4+RBOyGfk99QRMfiHOYrxtRBYUJy2yWdPSekokn8cmNAnCQM3Ag3Sgorp5no1/owQBGKpez3t0foUqHPPVczuNl1kYWcOx0XRcjpeBGtUlEtbOLTK0kCkihyqWUjiSKLtkbVVDFUFT+HpqGSpRk744CRFyORc6s7xjkoaTwI44KQ2zqiIKCIArIs0rJUztdtBEnm9ZU6UQr/7GqLv7rZ5+qcxfu7Lu2SjB9mmKrEWxsDFElgsaST5DmWqrDvp8RxynNtm+Waxf1RzFeWbMIkZXsYY8kCKQINU0dXFRRJQBJyZEnmfM1kFMKFeokrczbjIKVhFXKO212X5apGFKa8uTnEjRJu7w4oqwK7o4Cvr1Z4Z9vje5frBGnGMEix5YSf3O0zb8D7uy5/c7PHV5ZL/MO9IS1LRRAE3lgpIysqIrBYsdhxYl5o2yyUdUqGydWFMroocKfvc73rs1zW2BzE1C31QGJi8LN1h4vNMjc7LrYCiiRjKDKyINKwZAxV4lbXo2kK/MOdLt8+X+fdHYflisZ8SWMUJKiSgCaK9L2IKy2LD/Zd5m2dczWDfTdmtaxhqBL7XkqWZQRRzN44QDuQ1Vxtl1AUmZppIB5MwKIkYavvMfIjvCg9sBkbHnjoFslm5YMS07Pt3A0LWY+pStPXJq83TIU0zQ71oUMFUmb+PytLmEh9Jvr4o24MU3uzz0ByHzSe/iaMtWc4jFnnhYnV5LNKch8GzwTR/fM///NjXx8MBvybf/Nv+Iu/+ItDr3/3u9+l1+sdOu5h9j3DFw+/zktNsw+UyVLnw5Ddz/rZHH3QArRtjR0v5iurtWkJ4Ike+E7XLe7RCbGUQrs4WcK9P/A/oeOdGOXP3utk8GzbGh/se7y2WKbvJ0iigBulKALTCG6aZtQNmWGYESaFLdjdfrGE3POKAgBCLuAlKbc6Ds+1LH65PiCOE+50i0IUJV1hvqzTtFVsXaHjF9ntmiSgSQJukuJGMQgQ5TnjMIEcdscBcZJwY99ltarxUcdl3tYOPF4jpDwlTlMERAy5qND143tDfmutRseJudgyGYU5F9oW72+Peb5lcLvjoSsKbpShyDkDJ6BVUvlgx2G5pPHtSw1+ue1jKiIrdQ03yamYKnNllTzPqOgKgiDSshQ6TkBJFrndc+m5CfMVja1RwO2ug+eM+Ztb+8RZzsAP0USBhaqNnwlUDYX7Q5/vXGnzt/fGNE0FUxTYGKW8MG/z9raLCDxXy/l/vrnFq8sWUhbiJTn3+yEX6zqiKLFUN3lhvsz1zpg9J+ZSQ+favsswDNgYuHxt2eJaL+Lra0VhhygDN8q40jJIElipm7hRQsVQqRoK7bLOpWaJ7XHIYknjx/cG/Pb5Kte6If/zGysMg4RRlPGdSy2GUc5vX26iyDLDIOGVhTII4EYpL7bLjKKi1G9Nl1ElgUEQY2sKJbMo7tD1Y5bLhWymcpCQtj2OD2Q2OStVnXf3HF5o2Vzbd6dSnEmbhMNFG6CwgOt68aH2LonioWIQx9mDzRr+TyUOM/7VR/2tZ/v+o+JBwYPfpMDCGT7G0bZ4dEXhceLzbFtPnej+6Ec/OlauAPDv//2/58KFC1Sr1U9s+9f/+l/zZ3/2Z4+07xm+mPh1JbmzD5RJ2d1H8bZ8VEwGN+BQRHaSbX7oXvKCnG6OQ9Ya1lR3O9UNGsrUOmyWOM++z0lUayJ9eHnOZn0QcLVdomQoeFGKJkPHLRLnJvrJ1oHNkyYJWIo0TWIr6woVS6VpqixUDK7vuyyVVd7ZHiIDd3vex3ZmFOe9XLcYRyk9L6JlqtzreeiKxMCLaBwQIycurKeyLEOW4Nqux1rNIMkzBkHMas3go06ALEm8ulDi/V0HW5Y43zAxNIVGSeNSw+ZK02aj5zNf0rjT85kv60RpQt0U2RzEvHGuwu1eyD+6WOf+KKbnRHx50SZOE7ZHEV9draGIEtvjmHGQULd1BEFAViS8KOUXG10WyxobQ5f3tx0uNzTGXsSmm5BnAqYiUtVkvCTHNHTatsrA9djs+9zad1m1Bf7hdo8E+MeXmjhxzjcv1bB1mXuOyD9/rs6tbkTFNhHJWbRlbnd9giRhox8w8BLiMKbruPzXD3dI0wwnzFgoW6wPI87XTe53HT7cHh5400Y4UcblOQs/hpcXy6wPA16eK1HSVGRZZq2m0/dCrs6XeW/P45XFwmqtbirEScJP7vV4ad7mV5tFUlxZlxn6CaJYPNJKpswgSLBk2HcC9tyYF+bLnK+bU3cFJ4gZh0ViX8cN+WjPYaGkTNuJGyWsVA0S4IW50qFEzjDND+03m5g2Kfc7279mo6/HyYeOJpxNCPKkT87u87gIwoMmyL/OgYUzfBKz4/RxlmOPe9Jz3DmfJPF96kT3zTff5PXXXz9223/4D/+Ber1+7LYLFy7w5ptvTuUOD7PvGc7wrOC4B8rTWCqajSadtCRqafJUfjCp9DSb3GapxfZpotjMcuvs+5wOcgf2Y3EOLy6Up76kK1Wdt7YdXp0vcafr0jCUaZTLUCUURT7QQUqkac6+E9G2NZq2iiSKrDVtbFWhXTapWhONb869flFW+FLd4PbA57mWzXxJ4/09h2+t1RhHGc+3S4S5yHLV4nKjSKiar9qsVgwuty1sXWFnHHOxYXKv55IkMUGc4CQpzzdtdtyQOIWGpfPtc01GUcbNnkfbVnDCGE1VadkqJU1FFWXeWK2w0Qt5fs7ir67tIpKAIOClAnMlG0uV2B5HBHHEtZ0h3dGYn9wdcL6mcX3XoR/GGLLI397pc66ksmArbLs5JVOjrMnYqkg/LFwl4jglDEJu7TtsjiIuNg1UWeTeKGapojBfNelHOcsVnVu7HmVVomFprI8ivrZaZbFaomaq/PB6h66f0B97dF2Xe/0xo1TgXj/AS1Jud8ZESYYoFBOEPEu41/O433d4Z2eEKCR0nYA9J+RSXedX6yO+tlLm7R2H8w2LLMv48b0+Vaso+CGS4QcRWZbhRx8nId7ed5CEHEXI6boxKzUDJ4hRgHe2x6xVdd7aGuLFKXOWwo2ON23He05IzZDZGoXookDPi5i3FfpugiiJZFmGd+DpXNIL54WJ/GBCPNO0KKGrwDQh0lLlEyeqx8kWTtsnj0s0fVRicBqJ06dtO8PD4VmKjB+XpDwb4Di6/UlMeh7Urp8EnirR/fM///MHJor94he/4MKFC8dum7x++/bth973DGd4lvCgAeTzHiBnl1NPsig7jhBPB8mDRDP45HLr7PucZI0DU1lEwyw8d+/2PH57rc5P1gdFVFmAfafQ7uqTKJcksu9EbI6CouKVEyKJIk1LLSyrFJnXFssESU7dkHlnZ8SlukGY5Ly76/DaQrHNlCWeb9tsDkOWKwZ+lNIuaQzChHEQ07IUGqbKfMVkx4kRRZHvXKwzisAJUxQZZBH6foqiCBiKSJLGfLg74u/udbnXGWGrAu/uOIiiyEJJ4V7PY75isFy3AJHn5mze2RyRAQM3QsxzGpbK+sBDk1J2xiFplhXJYk7Cck3nziBkqaSiCDk9N+Cb5xp0wpSBH2FIOXVdZt9L0VWJKI7pewmSlPHurktdk1ioGPS8lMstm5WqjihI3O04xHHI7f0R2yOX210XQ0xxgpi+n1A3VX58u4NGzN5wjJOKdN0MWczRSGgaEoEfkSMwDiMkUcTWVXpBznJVQ5MEvCgjzUAWBfIcBkFCu6Tx3o7DYlnlw50hH2wNCOOQ9Z7P+MBurhOkvLhQQRBFWnbhJGEZGg1bJxckfudyC/Hg+//ZRp+1isF7u2OuNEtEac4vN/pYMtzuOOyNA1arBu/vuaxUDUxNwtIUFFlmrlIQVE0WEA+0vJPkyHFQ9IcgyZgvG5QNlfmywc2+z+WGyfvbRcngWW35cf3ns1j8HV19edjx4UyS8PnjODu4hz3+cd/L0cnOgwIck30eN46uYjzJFYSnRnRv3759YgR2gsFgcKwU4eh5HnbfM5zhi4Cn+VCaJMCcdO2jhHg2wWxW4zV7vsnvSUTs/sD/pE5RLfST7+4WPrp3ex7rg4ALVZ39g6peAB/ujZHFYvl4cxTSMBXcKKXjRJhqkV2/Pw7RZIH7A5+qLvPurkOWZTRNiTc3BrTsghDbmkLTUtkY+hiKzOhAz5rk8NHeGCeM+f+8u825ssyt/THXOw5zJY3LTQM3KhKpvnOhxu44YbVuszOKqWgiu0OfzaHHrzaGzJdUsjzj5/eHlFQOSGXCnY7D3b7PYlkmjFOqto6tyzhBiioJ3O5EGLLAtU5ISVPQFRk5T6iZGpap0SrbfO/KPIoqUTN0QGAYFpZr31gtc6ProYiQZDkbg4BzVY33dx12RiGLFZ19N2CtWaJsqlxqGoRpjqWq2LqGKousD2MMTcEJAq7vO3xpucxukDNftVip6lydtzFkmbl6hUbZplGxaJdUTFlicxRAmvLKvMkgyFmqWSyVi4IQuiKjKyK2rqDKEkGckCQ5hiLTLuu4IeRCzmpVZd9L+L3n5tgc+rw2X+Jvb3dZqRiYisRSScNQJIKkKNCwMQppWQq/3OxzqWmjKBK6InGpYfGz9QHmgavH39/t8cZiiY4bESQ5zzUtvKhwYciyQgs+cUqYyAhKRtFWdbmYWE3a7utLFW50D2zHok9Gy47+nl0FOS66dnQ59zhi8qjE4OjKyhmePGbt4J72xOS4djMrV3iaUfwnee2nRnR/8IMf8Pu///uPfPyE1PZ6vce67wSj0ejQTxiGj3KbZzjDI+O0D7Mn9sASPn2XySA5sQqDw1pCXRa503UP6XO7ByV1q6rE+9ujovTvRLsbJXS9mMvNwidVEXNatsqOFx947OakWYYmCQz8BFORWK0ZdL2YLM2YLylsDIuqVhT/6HkRbhSjSgJenHKvF1A1ZO50XZwDjeb6wEfIU7ackHNVC1ES6bgxc6bML+/3uFBT+fH9ITk5V9tlBn7MhzsOyzWDF+bK/N3dARfqKsMg4bfPN7jd9dFUCSdIadsaeSYSxiltS6TrZVi6zP/24TYtE4Z+TNdLD+zDdMZRxu3OkDBJcOKYux0HnZidoUeUQd+PcYKYketzsWGS5BJeGKNLOV4YU1IEFmsGgwi+tlpjfeCTJSklReZud0zVVOmOHX55r4sqiCiiyIvzVQZBykuLNSxDpW5IaIpIksW4YYoqgSlL3OpFfH2lRsvWKOsagiAiiQJDJ0DMI1ZrKj0voWIpKAIgSOyOE/7nN5bo+xn7boAmQRinWIpInOXEacZcSSXKc55v2aS5wEsLJVRJ5HonYK1hsTkOeW2xwo9udfm/vb7Ij+/3qZsqdwYBJUViHBSOClmWsTP0WakU5XRtTeFLSxW6fsLL82U6bsSeE/Jy2+aDfY+rcyVMVeJmzy+KlsQpwFTrO2nHRQGRYgVizwlRhI+dR+4P/EJ6kxQlryck8qgLyYkSnhnSe9RdYTaCexSfJSp8Ftn9fHFah4yjE52TngGf5Xs7SnIfJIV5HO3jtOc4zX5hGH6Cm50GT4XoflaS+3lgZWWFSqUy/fn+97//tG/pDL+BOM3A+LgeWEcH2OOyvI+79t44OLY6GxQSBV0WDi3XWqpMWVfZciIqushW32cURNzpukRxQnZQGlWUREy1yIb3orS4RpbhRyn2gY/puZo5jebNVwwyQeKFuRJelCKKIkGSc7FmIQki2wOfmqZQs1S2RyHrfZc4SXDDmJ4Xsdn3qJsK205Ixwn49lqdD/YDLrbLVCydK+0yry6W2RiF5FmOIMSMvIRbXYdzNZM9N0aXRTbdkMtNi3tdh9W6TpKDoUvoqkLTNrjQKjHwE660bP7bzRHnaybdccD+yOPm/ogszbBUgXc2Hb5+rsFCxcBNRBarFrYmkGWw50SM/IK07XsBLVPk7W2HxapJlBXSDhHYHUdUdAUvjcmynOcX6vhpjq6q+JmAKAmEScbQj5CFnI+2B8gkCKLCwMu42jRBFPhgL2Rr4FBSoOtHJAlIQlFRzYtS6raKKKqMI5H/6eUFRmHOubpJSZNZqmn81+td5m0FJ4gQBIGFisnmKMRSRBYqOnVT56vnWwzCBFsVudf30SSB1ZrK+1sDxCzjr27u8621Jj/fcTlXNVHEnKom0w9jbu07uFFKzZBplUy6QYIuCdRNmZ6X8KXlGqIoHLQ/iSDLeGO5SteLUYQchRwvLCrzFRZhQvH5joNpNTMorPHCJEeSinONgoiqKhWTOeljq7FREKHL4idWOSZ9a/L76OvHuStMKq89TlJ6lmz2ePAw38mnJROeZCP3KMlhpyWtD5LCPI5ny2nPcdr9vv/97x/iZSsrK6e6j8+d6A4GA3q93ol62oc5D/Cp8oeH3XeC9fV1hsPh9OdP/uRPHuU2z3CGJ4rH9cA6aYn0uP2OXhvAUuTDlc+mCWcp6UyG+mwyz4sLZeJMYK6iTUsCS1JR/UySRF5fqjAMMtwo5UK1sK2yVAlDlSjrCmsNi64fo8vCNLpmqRJ7TogmCTh+4cpwZ+gjyzK/tVbnw45Dy1Jxopj5soabQNPWado6giQSp0XE+FzV4Ec3uvyPL7RwvJCWrbNQMdgZhQRxygvzJRRJp+OF1A2Za/sOiijQGQeMgpj3dkdcblncG8SookDX8YnTDFEU2RmFRHHEz+/1WC4rvLM9JBNEojil50RsjAK2RzG/+1yFa/seCBKXGho7TowpCYyiDClPGUQ5Iy+k6wT88EYPXczp+DGdsU/PC9l3fdI0xgkTxBx0XWFz4JPnOesDj7YpcX13hCYK+EmOH+f0g5S7veL+Xl20eL8Tk6cpSejz3laPzVFhMWbrIj0nZBwEyLJURH1lgcWSwjtbI15oW2wOAiRJJs/AkgsZyIWmTUnXEESBuiHTdULW+wHhgV1XlCTc2BtTMxQqpk6SS3x7rckvNocMvICbe0MMRUKWcva9FFESGQcJLy2YvLM1RBJEdFVCFnLSNOdGx+Nyw6TjFprhmiHjRuk08tq2NYZhViRRpjmvzpcIkpwgyafacF0Up8lmXS/i+bY99Rct6yrxQbubXQGZWOwdl5T2oD52nORnWlzlU/rjw+KM5H42PAoRfNAxJ010jtvvQWP+SY4GD7ruced8HM+W057jtPv9yZ/8ySFetr6+fqr7ODXR/d73vocgCI/0M+t28Od//uf84R/+4Wkv+9RQLpcP/Wia9rRv6QxnOBaPOhCdZons6P7HDZYNUyVIDz/UpwkOB8UaJl67uixyf+DjRsVS2VrDKkiHKtMw1SmBaJd03twc8nzbPuTpOyHElnqQACcJ3O26jP2YWx2HgRvi+DHbTkyzpPLW5pCaLlDTZH65Pea31+r8txv7XKhbJJnAcsVAF0XcMOZS3QYKvvLO9oh/erXNTzdGXGjZiKLIOIy53XVoWyJ/dbOLJAm82Lb52f0BzzcN7g8i0izmp3c7qCK8vz1GlwWiJGHkx2z1HTZHPmIecafnYagygiDQNFVEQWAQ5ugyDMcetirzX68NcYOIkefwt3e71LSct7cdKpqME+eEYcydQUhZEbnfHeEEIfc6Hu2SQpAJtCyNQZBjqiKiJOAGEVkW0x25SHnGtU6ArSm8tTXAj2Ou7QyRyfGTmL6fsuclvNjWGfgZSQa6plPVZTRRIAMMXeFeP+TGnsM4iNga+tzYcxAFeHO9T1UXGQURgyBhGMScb5hsjROWKhotU8ZPcnbHEbc7Q6I44q9v7LM5CCjrMoMgZnfocqFucK3jcqlpMgwSoixne1horv04pW3KLJYN/su1Hr+9VqcXJFiyhCIKjOKUlarBT9YHXKobGIpUuCxIAm6UTKO1EymMqUqFY4Kt0TAVvDBlpVJ46S6WVEZBBByuFGVp8rTtzmrTJ0lse+PgkHThYROTZrXrp+2Pn8WR4VnDs/w+HoUIftoxRyc6ExznhPAw1zjNvT6pJLTTnuM0+2ma9gludhqcmuj+8Ic/JM/zR/qZaGQfZCV2HC5cuHBiAtlEbzuJDD/Mvmc4w286ThvBPXTMjF/o7DEnRa4mg/Ykeja5bpplRHHK9sgv9LkHCTyTYhNuWBR6eKll8dGeAxRlf6GIlJEX9zIKYnp+gq5I9A4y4m/1PJK8KDDR8xKWKwbjMCPIcr5xrsZ/+WiXV+Ysru07WJpC3ZTZdAJenivjpjkXahZxltE0ZN7bGrJQ1giijNsdhzzLMFSZH13v0bZFxkHIja7Pl8/V2RxFXJ2z2XFSvrFa5fqeQ5hm1DSJrp8hSTLPtUrM2yY3uyFNU+dLK3VWG2VKukJZEXh5scSWm6KqIh/suZSlmL2xy/v7ASrw5uYYOU+52fNw/IAoh7YBv9r2mS8ZuJlIy1ZxImiaCnc6Y/IsZWcUIAkihqYiiQqirCJLMueqKh/t9PGjiDc3hqw2dN7bc0jiFEWC/aHPtY5PVc/xEnhloYSXClR0CUNW2B4GDMYOg9GIG/sHk4woYbPvUTZUrnc8GobEyI9wwpi31gdUNZF3t4cMDtpdmmc0DIX/8lEXWwVZEogyAVORkUR4d2vESlVnHCS8OFcUFXllrsT7ux51U2XHifCTlO9crPGT+32uNC36YUKY5ZiKxNCNuFDXeXfXKSrj1S0+2ncYB3EhtYlSLFWi7yc0jI89dIMkY75isD4MuNw0GYQpkihOnUEm/WZCWI/2ATdKGPkRUVIsR88mXp42MWl2+3E6ypMSi45b/v4i4ougI34UIviwx5xk+/Ww1/hNjuB/rtKF27dv82d/9mf8wR/8waGfSYne73//+/zBH/wB//bf/lsAXn/99RO9byekdkKcH2bfM5zhNx2njeBOMKnYdjSrfHKuU18zzVkoG8TFyjCjICaKU27vOyhizs7QJ82yaRT3fN38JCFXZe71faqqxMbQRwB0SSDLMqp6USUrh8ILNS60ulmasT4I+Mq5OhujEF2RWLBU7vd8mmax/PzttQYVS6VuGaiaiq5KmIrEh/tjeq7Pei/AkEReWSxxpxsiAAtllfe2RohChikLvLRY5lY/4hvn6whkvLM15PUFG0uTuD/w6XhRkbTmB4gCnG8Y+ElK2VJxwpTzNR0vzFmuKsiqjiprtHRwY6gaMr0gwvcDJEnCCWKudwNKas7+aEzPiWnZCrKQsz4IkPKcPTdCAfpeytgP2Hdc8jRioaJzo+szV7a4P/QRBHh/22G1qjGOUsZhRpokkGdsjwLaJYW3NwaUFIGOG4EosFrRsEyDXDZYrBqIooAoFJ/7yIt5caHMnUFI01KRRZG5ssbbm338MKLnJiyUVFRZZHMc8uq8xY29EdvDkIsNA02RkCURXZXpexHtkoYbZ7yxWOGnG11EISdPE/yD79eNYLVmsT4MmLMVyDMMWcI2ZG73AsqKSN2QuT3wudw0caOUIM0p64VP7tW5EuvDQmu+M/QZBXGRdCbmjP0ES5Vol/QDzblImhYVAgdeyM7Q/0S/0WURSRJR5WI5umEo07K+RysHntT3jiawAYcI7Gy2/GwfO83y95PG4yCnZzriT5eunOb4h9n+LE8qPsu9fa4t6Pd///ePTUIbDAbUajX+5E/+5ND2733ve/zpn/7psee6devWoYpqD7PvGc7wLOG4B9bngYd50LZLOnvj4KGKWUwGpsl59pyQpQOP2ratkaYZwYE280JLw40SauZB5DcqZA1umHwiYWdvHPD6UoUf3djnq8sVrndc1g7sx4I050rDoOcVkWMnjNkZ+SxXdExVQhIVmrbOnKXy/r6DJgksVTW2xxG6JOAEMWKesTfymC/pXN93kUVI0owog7pt44YxCxUNRRT4cNfhe1ca/OL+GCcGNwj5+mqZf7g3ZLViUy9pvLfnMfICbFVkoaTx8/s9vrRcRRAEPtoZs1JRuN6JSJKExbJKz094uWyTWSLlMGazl3G5rBCkUDMygjglR6SkijhRzHu7MTUdVmyB652AxYpOmvvcHae0bR1JgL39gLGfoyhQ1uG93RHnqzrvbDvoEgzdEZYK93tjlksmN3seSxWDfpDQLFnsuzFNS2Fv5KOpCnujAEuBOIOViowoKuR5Rs1UcYKUYRjjRRnnqyppKlA2TbZHHnOWRprnaLLIvUGIqcj81oU2d/oey6bBpZY5rTomCxKazMH7hRy42fM4XythqBJenKIrEkmS4iVQEwvJQM9PWalaKHLxf00SSMn4m9td/unVOa7tuyxXNNwoRZeLYiRBmqFLAvtOhJCDpgj0/YTlikaQ5FOv58lvN0rwohQFgVwu2uvRBLJZB4ZpZT7h0/veZPtR2yc3LMpSH9c/jx77NPGge3tYPO338jjxKJ/H5Ht/lCJCn/Y9HN1+mu/taT2rPmubeuqV0R6Ef/Wv/hW9Xu9YScIPfvCDaeT3Yfc9wxmeFXwey3MPO6uHh6vYdlKG7yTpbBKNWq0a3Oh60/NI0sd63Nnzu1FCVZOntmQTTJaJJ5G1715usTWOuDpXAqBuytQ1hSApLMnCNMdWFdYaNj0/Za6sY6kSV9o2dwY+iyWNkirx93f6LFgq9wY+W+OQ3VFARZd5f9fhhbZFzVAwNIVvnmsy8KKCa+Sw58T81oUq//G9PZarKk4QEUQJ//mjPV6Ys1AVCUEQqGoiqlpE+DaHPpebOrujkChJibOMbSdFIud8Q+OXmy4XKiJ3hx5JmpKEAX6a4IUxZU0kSFJKmkDLkhlFOYMQSkAQw/7YJ4sDbu2P2XMCxBz8KOB6N2C1DE4OfgSDEMoyvHk/IM9h24M8p5gIIHKt59OyFD7c8ZHzlPs9B4mEzYOIdBxHBFHMzY7PckkhyYpqeF9ba7DvJpiaQBDH7LsxlqoQpDlzJZnLDZMgzdBkBSeMGDg+4yAkReBSw0IQBc7VS3y053KuarDnhERJxr4bc33fQSGj5/h03QBDkXhhvswwSDDkIoJ5s1skjJ2rGYiiWET504yaIfPz+0NebJv8cmPAlZZVkFdbY30QTIuPaLKIAARZThjnXKoZU0ePo9raURCzWCpWAsp6UVRkYpMHHNLUTjS77ZL+UJHWk6K1JyUPPSt4lu/taeGzjPOfxUbu0/TAR4MID5vk9nnhs7apZ4LoTsjpUZ/barXKX/zFX/DHf/zHh17/wQ9+wIULFw5Ffx9m3zOc4VnBk34oPChh5UHbJ/f2qOeffV+Tn0nG+qzzwuw5Jq9PyqiuNaxDldeq2sfJPRPLphcXyodIhHhQUOJOx6Wmy9i6UpQFrpvsO4U2cmMY8o3VGkGaszUO+NJChb+906HjBDQNCS8t9Ji/c6HBB3sOV+er/O5z89wf+tR0ibc2h5Q1iTzL+cX9ERcbJlvDgHZJYxglLJcUNgYBgiCQZDm5AIasoqs6C2WdUZCQZAk/vdslTSK2+gFNW+bGfsg/eb7FXiRR0QuC2AlFFks6XT9g7AVoskSaS3T9BFXMkQBPhJWaga2puEmOF0aookwC7DjQEOFaDyzAAaSkILdVC5wIDMBPIcxETFVAynLe24kRRdjzMrIcun6K46ZoCux6CcMgoWnIdLwEVZa41DL461s9vnWuwt1BREUVydOE2z0HhJxf3B/wwZ7D716ZQxBEtschu05EBmwPA67vj1irKPw/fn6Pf7RW4n99b5u1ms6tjouQZygi3BvFKHJRAKLrRfxqc8hqSeNaxyXLMlbLGusDn30nwo9ScqGwqBuGGa8sllkfRpyvW3S9eNq2Vio69/oeKxWdYZhiqBKX6ga2oRADbVtjbxxM268uFdX/LEViEKa8uFDGUottY7/Q/QKfILSzZOJoHzz694Nw3DkfNx6X7OAMH+PzIP+flUR/WrR09j08LbL7qBDyPM8/fbcngzfffJPvf//73L59mzfffJNqtcp3v/tdvve97x1yZvjRj37ED3/4Qy5evDjV4Z5UOvhh9j0Oo9GISqXCcDg8dUbfGc7wLOPoADYhlrOD1tGl0uOOO+mcp11Omka7HnCtB8kjJtG0qlYQ4UPJPwfLyWmW8dGew7ytMAoz1hoWO6OAjhNgaYX37mrVmCa5KQLcGfisljW2xwFxLrBWNfjV1hBdkZizRPp+zlLVYORF/Phel4qhsNEPeH25xLV9h91xQMs2udC02Rx4eGHM3Z7LxYbF3b5LSVfYG4Ws1HQ6XowTZIhkLFcNfr4x5EJVpeMllHSFjVFEEoWESYokCMiSRC5KaHnIrVHCywtVRl5AP0gZ+TFhAmUNFFlCFAWSJCHJQFZUojjCTyD0wLKh40BMEd1YtCAFhi4MgQUBVloaXpoxCmJ8H5IMGhWQhSISbGowDqGpQ4xE3VAQJIm6qZKmKSVNIQe+ebHF393qIgs5i1WdW/tjJCHnxYUqHT9noaywN/RI8pyOm1IzRBRZpucm/N+/scpf3+zxT67O8+O7PWqGyNtbRflmBIm6KeNEGYoksFDW2RuHXGja2JrCnZ7HhZrJvb5L1ZBRZJnVqsH9gc/QD1ElmZ4fcaFmUrG0gsQ6IVmaUTKUaRR2zwlZa1hTf+jdYcBizQSY9hv9IIoMhW6268VUtYL8ThInH9RvJn1wUmhl8jcU0eCnRRQnyWyTyPEZvhg4OqZDMV7OuoGc9ng4naztWYjan5avPVWi+yzijOie4UniaWmcPu0+jiO/Jw1mk8jrSW4LJ11vosl9kATipIfs7P3e6bqHyMT72yNWKjpunNDzEhZLKj/bGPLttQZuVDg4bPRcri6UMFQVL0rRJYE0z+j5CRcaFvf6RRLcXEnnw90Ry5bKzYFP3wt5aaGKrSnsOQEfbA9ZKmkkOaQI7IwCtkcOUg6LFRs3jtkaBSxXdD7aGzNn69zYd7jQ1HlzfUTTkhkFKatVAyeG8w2TOMno+hHv3u/QKmnc7nlossTIT7jQsrE0jZudEWYe00tFlDzDjcAPQFIhTEASoCYXpFVJoRfD5FNOAFOFUQQ+RQQ3AS5WYHdcJGq4GSxWBJQ8x9RUbu9HLFbBiaGsCoRZTpaBKIAXQ92AfR/WbBHTNIgyaFkKc7ZGlAuQJhiaSD8ATQJblzEUjW+s1fjl3R7rI4+GpSOTc7MzYuCn/NMX5hkFKb93ZY63tocsWCqb45CGKfPLjRH/6FKT3XGAIIjYioAb53x5pUYObA58qkaR7KgIMI5S3lipFT64UuGz/OG+Q0URSIGSofHaUoWOE1EzZeJMoGEoBGk2Tf7RZZFr+y5ts7Bze75tc3/gT6UMk34yCiLKeuHG8KD+cLRPzRIRNzpwS8gzJEGkbKgP7ANPChM98dNOZnsW8HmN1Y/rOkeDD7MFS057DPDQxz1NnJavPRPShTOc4TcBnyYj+DxxnP7vNHqtqczACR9Kr+VGybTC0yQyO6tpnEJg6uxwnLxibxywWjWm2+50XS5Udd7aHmEpMi1b5WbP56tLFe72PHaHAU4Ys1g1cOPiEou2yvrQp+8XS9BpWvioKgKMg5iWrfOL7SFBnHKlVSSf7TkBQZTyXMtifRyR5xktq7AnsxWFum2Qi0V0r2VrOEHGYsVGkQV+a63FRj9muarTDzPyHHbGESVd5ObuiPWhj6GIfPlcjXvDhFfmy+SIzNsSd/YdnCAkjWI2XUj8jI4DTgiZWOhtRyl0EugEoIkFyfWBPhAWHylxBqYIdbHYZgF3hxBk0CkK0XFrmOMncG0/Yr4EwxgMEcIcvBBEsYiA22rhAlEWYJAJiJJE1RDIEHhnxyGNE/b8lI6TkqQJNUOi68Scr2m8sz5g4BWlevM8R5JldEXla+eqfLg75vWlKu/ujnmhZbM+CrjULrPjJPzOxRo/vTfAUiUUMeetzSHLZY1+kLA9DpGlnDTNsDWFOIfXFivsOxEVrSgEISsy316rk4simqpyvqazMQwLC7Igo+NG3Ot7HzsiHNjYvTBXIhNEXlwo0/Wiads7JCE4iAQfJQZHvXKP9qnZimntkk7ZUFFl+USS+yjFCR4WEz3xs0BiPi88KMfgSY3Np5GOPSyOylo+LRBx9NqzErMH2d89KyT3YXBGdM9whs8Jx5HHZ8kr8jTZ25MH4ULZ+GSp0vCwz+fsYN4w1aL6VFJEzO50XRSBaXnVj3WQ8TSxZzbLtutFuNFhqx33wL3h9iDgtYXyQZU0keWKxsYoQJMF9t0AU5boBwnnagYNQ+HdPYdLDQsvTjFViSDNmS/rjKMUgI92B+TkLJU0bvV8dschSZLgRjF3ei5rdYM4z9kdFzZlz8+XeWGhQo5ASVcRgDBLqegCgiAhyAIrNYM4zqioCmGSkAB3uw4bQ5ed3pCRF7M1TnllwWLXz6noMv0YmrbKVt+hYSrIIoiaQA7IEjhpEY1N+ThK63kFkZ3AA1wgSAqyK+VgUuyTUhBh/eD/JWDLK6K1TkTBfgXoj3NUir/Dg6iuocrIGtRkgcWSSp6J7Dkx50oSd/ou56oagiDyrXMNfnp3yAtzZTpuRJTnRAgo5OyNfIQs4xtrdcYR/O7lFncGLpfqJm9tjzlfNXHDmEVb4cf3hry2aOKGKR/uOjzfNnlnZ0wSpwh5iiiIZKJE01K53LAKCzlZoOMUJaiXKxp3+gGvLddYrBhIgogfpyR5xr4T4AUhQz9kzwmnbXriCGKp0jTzfbK0O23jB97Sh147aM8KnyS7x/Wn2b/bJf1EC79PSxQ6+v9nZVx5lnGaHIMnec0ndZ3TkNGTrn20ZPVJ9/6w9/M0cUZ0z3CGzxGfFkn9ImA2wWyCiexg4vN53GA+cVgIkkI7G+dMl3wnLgurVWO6bDYro0iz7JCmcbJknKYZLVsFoUgcCpJi2XWuXCSnLVUN9ryYry4XEb57fY80y9h2IpZKRfJSw1Bwo5RXF8psj0NWKzphnPHOrsNzTQtDhne3x4zClLW6RZoLrNVtKqbK0IuJ0pytocf5iszWoKCZaZbxwfaI59sWsihiKRKxIBBlOaIgEoURqlSUK0ZWGYcJqiSwN3AZOB6+7yGS44QJtqbSj0WapsDIyVGFwmVBAyKgevDbkGEEKEe+r5SC8AKMcmipxWtQRHtlCvIbARWxkEQEGayUNbZHsNqQyZRCp+uEsO+AKQm4MbTrJQZhTruksVJW2QsFvnFhDkvX+T99ZYW/vN3n//z6Eu9sDxl4MYYIy1ULRdWIk5SyqbA1ivjec3NsOwmLZYOtkc9aXWfPC+l7IU6csFY38ROwdZXLLYt+AN++0ESQBEZBgiLLLJU00iyj78fUDRlTlYgREEWR+32f55smN/YdLtUMPtx3ebltEyU5LVunZuloqjqVJYyCiN1RwM7QJ4rT6YQMOLS6UGyLP9HuAXpB/LHu90iFtJMwm3R5XL87DseRj0cdV37TCPKDPqcnNSZPrvmkrvMw3+GDHBlOev1h29WzsJJ5RnTPcIanjC8SyT0JliZPI7YTEnw02W12XygiB5Mo1uY4nGbCz5ZXnR4zs6Ssy5PMd3mq+Z011E+zDF0qSgVvD0O+c6nJB/sF1bvbdzEF6HkRYZqjSgLXOoXmdxCmfGmpghdDkmWslFTu9jycKGOxrOKGMfcHPhfqJqMo437Po6RxUNBA52cbDgtVg54Xsd73aZkyb26OyfKMbhBhSmBIAqoioioyTpSzWjXYGbk0TZkwzRAVjaptEqKQZBkDP8MLI3Qp504nR5QAtYiqJnzspJACe0lBfuMTvqMRxfaNCKpCQXIFYExBhDVgnBVSBV2AG52QtSas9xKSEIS80PlKUuGAUFLg1t4Y0ogPdhw2By4tU+LdrQG2IvLfbnT4ly+3+Y/Xu7yyWCYl5XbfQyAjjBOutC3e3x6xWlF4e6vPvCXT92OEA3KqSSKrFYO+X9DyhXLx2VpyYVXXsFS2hz62KuGEMXf7Ln6UYusK5HCj47FQUgpHhqrBRx2Pb601uNn3eWOpzLt7DqIo8nzbRhJFXl+qTCv1eWFKzSw0v6oiUdbVaZucJuyoMpIkECb5dHVjdrupSkAhr1EO2uZshTT4pPNCu6R/ItHy03AS+XiUceWLOPH+rDjte33cxOxJTSie9Hf4sOd9FlYyz4juGc7wBcOzGG2Z3NOstms2qe1B9+yGRfnV4xLkJueZWIhNZAztkl4kralF9EuXRO72PMgLa6cgzdh3ItYaOj++12feVlAAW1PoRikLJY0gzcnyjDhOeH97RMNQispVusJzTZtBlLDWtLkyX8VLQBVAFgXe2uwTRRFVXeRGJ+LKXIm9UcgbiyX6XsjeMMCQBD7q+OhCjh8W0UFZEDlXt2hYOhdaNudqOh0n5EqzzI1+SBhFuEFIHAR0xjG9Mcg5dCLouoUVlxsX8gIhLyK3faA+E8J1PuV7GlGQ4k5eRHBnH1lDCpI84oDQyrAxAFsDVYJUBFuGOII8gqEHYZLScQL8OCZD4L3tMXns89bmgCRN+Y/v7fA7F2q8tTHEC4tkvzgR+ObFJv0QvnWxST/ISHMRSZYwFJG2rbI1CvnqaoMtJ+Jy08RSRN7dHvPV5Qp3BwmvrdTYGoWs1nScKGXoRVQMmZv7Dh034sPdEbKQszkMCZKcjVHIV5cqdL2YpqXScSMUciqqxEd7zjTRTJdEdFmkZCgMg4zn2/b085mW4T1IHAMIkpzLDfMTcgNdFiGHuz2P1arBICos6yYa34k+fba07+TvRykO8DhJzW8SyT0tHjcxe9bI6JPG017JPCO6ZzjDFwjP4tLi9J6iw1XMZmULxx0z/TtKDiWhTbanaXaI7M5eaxJ5m9g/fbg3pqKLdJzCokmXReqmzM4o5pWFEkGSM4xTTFnC1hQUIcePU2SpWOLOsoyuH4MAz7dtGiWTFxdq0/LC52tFmds0F1gqm4yjjH03wlBF9schV+dL7PkpWS7x6kqFXBR5YcFmzw25tu/x2mIFN0kZhDE1XWLkxZiazMtLFa53XZq6iJ/kDKMUL8mwNSCHVC58b6McVLHQ2zaAAYW+tgTsnRTCPQVmF8gtPpY0+MBuAE4CIw8iEUpycQ9ZXmiEEwHmbYNhlGOrIkma8eJ8iVzWkSUBL4x4rm3znz7Yo2kJOEHEVt9DlQWCOOOlxTKkhWPEq4sGXTdGlyXe3RnTMiT+7m6X55oWH+55OEnGi3MW//mjfX7nYp17PZeRHxIlOT0/4Zvn67y/41A3Je53x8RJwoe7I3IgjlPKmsjb2yO8KCXLMhS5WEkYRiktW53azU3L56ryIfI7q8WdtHUo5DJHI7CTiVmQFiT4/sCnbWvTlYeJVGe2v3zWB/9x2vgzPD48CWL2OM/1RfzOP08yfkZ0z3CGLxA+j5nwww6as5m6s+eYJeSzfx8iq+EkwSz+ZKavcPz19p1wKlFYHwTUrCJDfnscc65uFkvKokiQ5Ly0WEESRVp2IT2wFIGOE7A9DimrIsMDfeckQudGKeMgJssy3DAmShI2hj6mpqCqKt9eq5MJOWGSsT8K8f2Qt7f6/PRuD1POIY+5tudyuWVztxugyzkXmyYfdTzmShpJktJ1I0qaSFlXGYQCV2oy3SCj5wUsl1SqtoGiyDRLMHYLO6+eB6MMbKALqBSkdPxQ39SDER985HWKaK9EkY/m5cXFLEVClKFdgSQvIr1RmqCSM4wy2rbKMMpZqWo817KwDZVbXY/fOl/l/ihFFEVqtkIQRwy9mIEb0SqrvLRUp+PlrNZNem5IluW8tzOirEr8/Z0OppgyDhLuD3wuNTR+uTlCFEVKisjP1we8Nl/il5tDvrxSp2JoyLKMrqq8ulghSnPmKhqjMGOxojH0QwZuMRkyNQldFtgceGz1Xfwo4oPd8SHi2bY19t1w2j4mCZNlQ526iMxWQZu0aUuTWWtYbI5D2rb2iXLaE3J8nKTnOHzaishsf3rWJsK/LnhWienDfudPK5HsabbJM6J7hhNxNlg+m3jSJPdREgeOZurOEvLjrMtmiXHXi1hrWFM3hck+J9kcmapEz0uwVJnzdZNhkLFU0VmuaNNMeTdKWCoVBQEmxPf15SqbTsxXV2rEuUDXi1iyFN7bHqJJIh03QgDuD3ziJCHLMq7vuSiSQJ7mXGqYxJnAOEhYKmuUTIUNJ2S1alA2ZG52QvIsR8gz7nZHxFlGjkjHTbhct9l3ImxDpWSq7LsJiiiwVNGIBJWKLjNnG+w5Ebam0NAkkhQ0uZAnHBggTKUJISdrcR8VEQWBHlNEiifJbqZUuDUM4pSWIVBSVComzFsKwygFSaIsCwyjnK8sW4RJTtfPMGSJlxfKbI1DXl8osVozsRQVXVGRJQFVEnCjjIEXsVLR2R549P0ITRa43LLZdiLmyjr7XsJy1cBUZHbHIQ1Dou9FvLfncKFm8PbOkKWKQd2Uubbvcrlp0CzppLlQlB1Ocr6yWqNqaixUTKqWSstWKesq82WDqqmx1rK50fFZsApHkFkZjalKeHGKGxWSg0m70iXxkAPI3jgonET8aCpHWK0aAJ9Y6ZiWuz7FGPtpROZofzpOD3mGZwenSUp8GDxM8ONoW/q0cf5xTZye9gTsjOie4Vg87YZ5huPxpL+Po0lkk2uepi08KBnmJAsbYGo3djSie+LDOoeVqk7Xi3GjhPN181DC0CTKtjkOaRgKI7+I4AVJxpeWKvT8mG+cqzFfNrne8/jWWo07Q5/lskbHiWgaKhVDYxxlvLpUZuwniJKAF6V4ccrry2V+dn9I3VB5cb7MKMywVYkvr1bwU4GFio6fCHxp3mYcZshCzv3+EDGHjZ5LdxxS1QT+8qMtNnouIzdgfBA9HocJjuvhJUX52oZduCpofD6D9SSSK1DIGuoU5YF9YMUuyhKngsCXluv4mcKCqZCmEbKs8tK8zZ1+jCxAnifUTJntccxaq0zNNlmomiQ5LFV1TEVm3wm51/O40xnxd7c76IrInKWBKOEnUFJgox/wwnwJSRSpmCqyJDH0U/wowlJE7vY96kbxvf/kbo9LDYNbHQc/TlmtGXhxii4LU3K51rAQRfGQ/GCtUZDzqy2L+0OPLMumZBUKzbepSIfKU7dtDQSmDiCTbXHO1Ad3QkAtTS7cNfi4IMOEGM9GYid4FKur2YnmJ9xQsuxsHH8GMJn8zFokHt3+qDjJCuy4/Y4WBXrQOP+4VhCfdpLjGdE9w7F42g3zDJ/E5zX5ODoIfpa2cPQB7oZFpbLJdSZkYGIrdhQTEpCm2dRrt2wUUocsy4jihJEfTZePG6bKm5vD4vyqRNeP6bgR4wMLqDTNMFWJrhfjxSkvzZfYHscHBDhhqaxjaBKiKPLba3Wu77vMlzX8OGXPCdBFgf/9WodvrJa413dRJZHlSpEQ9e7WiEstkygT+T+8vkKEwitLFXRJJEhANxRkIediy+KdvZD5qsF630EQJfpjn41xSEWGm/0AWYSyAv0QKgooSqHPfZKQKDx1ZQqS2xQhoygacb4kcXMY07JUSprM3tjnlQWLRJAIU/DjjK1RSJom3O+NWe95/O3tAaaccXd3wNCPuL43ommIvLs1IkhTFqo64zCm7/qYqogsyThxRssQubk/ZhzGLJY1vATqpoouCbRslaW6ScXQyBB4danCvb7P1tDn+bZFx08paRoX6kVBiJJeZOrtOeG07TUMhTfXB0WbSDPudF3qRuEaslAxEQ9WEiZFUSy1aHOTkr+TaOzsisOUZM6U752Qmve3R8ybyrTdTxLaGqY61QBP7MtmZQiz+Ezj8EHt0zOy+2h4HJ/brO3ccYUcHvfY/qDzHbfqdtz/j+7/WfE0ucQZ0T3DiTgjuc8WPs/Jx3GD4MPgaCb5hKze3ncoKQLvb4+m+7ZL+tQfd0JogQOf0qQgKXFSJAVN3B0MpahqFWaUjY+tnz7ac2gbMu9uD4milHtdF00uiiwESX7g1CBxr+diywLX9h1MRWLfiWjZKqoqUdYVztdNtsYRazULL0q53XVxg5h9N+CVxQr/cH/EK4vVA2KjkGc5tpLz5v0eFxsGu07Eb19oECUZ+27I1fkysiDytfNN3t5y+M7FCpv9gIWKzeYwwFYkmorEKIO6IeIlOaMg47mGxm4MWQxlCjL6pJBTkNzw4DpeBpYOzRJ82EmZ1wV2vYyFkoimKnTcmD0vpmVIDFyfoR9ypx8gChKKJKAIGe9ujQnSdDqJ+cn6iG+er9Iuadzrh6zWLGq2RdPWqZoqbUtlYxRyuWnhJQLzVYvzVZM0zRgGCS1bJ05zyrrMt883ubbv8cqchRvG3OkHLFcMVmoGNw+sxdwoxYtShl7Ie9tDhl7IW9sj1ho6HTei68c0DAUECoKrSjQMha4XF5Zke86htq/LIne67jQivDcOPtZ3h4X/7qT9TvrQ+brJjhcXHr1RIbmZ2OWtNSyCNMNSPr7Gp1WmOg4nEZuJ7d/k3s/I7sPhcRHQo1KuB21/HDjN+Y663EyO+3WEkOd5/rRv4lnCaWsnn+EMnzeOG5ieNo67p8nDYeo3OiODgMJy6fm2/YkltK5XFICYdWqI4hRVkaYR29lo2WylNF0Sp/rc3WHAXEXnXt/nUt1ga1yQ2IapEiQZv9wYcKFm8MvNIecqOnf6HqsVg6qlFsvakoClyawPAqIk4W7Po65LrA8DJFFEFQVqpsRf3uzx6lIFS1PYHQUMgwRDyun5Kf/8xQX+4U6XOE1x/BRRzHhhrsxf3+mTJCHrPZ+en6AKGRVL427XRxQEyHOiJKQTQMsU6YQZiQedtJAv5BQkdEQhL3icg7dGQXQjighICaiWoOeCeFAm+NXzJRBEZCHlftdhtaTwYT9muaTRD2O+u1anFwukOVQ0yDOBMMvYd2NsWWC5ZlCzLII4wVIy3t9xuTpfIUxSvnK+QRin0wIcry5U2BiF1E2Zjhtxda5Mz4tYKGnsjENKhkZVl/mHO12+tFxFE0W8JEESRQylmBLMl3XcKCVOEm51Pc7XdJwYTEVipaJPSeDEwYMcvLhInIOi5HGcF769QZKxd6DJ/mjPoW7IIIAXppQOio4oAkiSQFlXp2175EfTydiknR8X0Ztsn+03D4NPGx+OOpg8CibXeJSx6DT391nHtycxRj4r4+7jvI/ZMfppv7fP8r5Oy9fOIrpnOMMzhuOiB8+iZvpBUaTZ6MXssh3AiwvlY5PToNA3TsoEAyeS3Mky8aSIxCQzPk0zTE3CjVJeX6qwNY44XzcBpkTFkgT+6/U9XporsT0Oeb5tsedGBEmOLgm4ccq1fZc9pyC2yzWLXpDSsHVWKjqmrvCjG300Ked+1+eD7SFlFZwgYWsU8tJciQ93xzzXMAjilH4QkQsim+OIhqkgCRnDMOX5OQM/k5BFiZIuY4gpoyBkx4MkgO1BRl1VibKChIZASfy4XG/OJ6ugPQyOmlqEFJIFjSIpTdZAl6BdLhLfVA3GjocpC+wMPWxN4UY/Zs6U6XshbUPmrT2fkiaxVFbQJInlRhlZErlaU9nzUixFYaGislTV+Mn9MRVF4GfrAwwFPtxx0BWJUZCwWNH56f0hL7Ztbnc8rrRs9t2YFxeqdPyUy02bjhNwrzPmpbkStqYQA6Z80FZUCUuRpoVDFFnmtaUK+17Kq/MlWnZRknraBidR1jSHHBQhx4tS3DgpJDAH7XO1anB/4LNS1UEoVglMVSLNMhqmMq32NznvRP7gRocrBB7F0aTNR3nwnyYB7bOMIbOyioc9z6eNX49jfHtSY+RnlWydhE8rD330fF8kH9+T8KSS3T4NZ0T3DGd4hnAa8vg0cdpEhaOJaIc8SMNPFoZI0wzlwEt3ImWYkN3jSgtPH7ZREdltWUUBCEkSMQ+Wn+8PfFYqOjsjH0VgmhC0MfIwZbg/9FmuGjgxvLZcQZcFOm7ExsBnd+ThhwHvbQ/ZG3m0LAVdkdh1QpwwpqaLREnCMIi50rL41abDXEnCDSN+uTnkQtNmEGV4UYYiJry/1eP97R67Y5+Ol/GNtTpvbzp861wJJ06pGQpukmFoMnMGlEugKhBmCZpSEM+qBm4GVblwRqjw6AO4yCejwQKFZZlEQXjjGHJJQRNFSmpREQ1RYnvgUlFEZFlmvqQhCiApEkkucaFpMvIj4iTFNnU0WeQrK3VujTP+r19dYrFuYyoyUZrzykKZ/TBlyZa43wuxNREviJm3ZbaGIf/oUp0POy4rNYP1QUDDlNgdB7zYtvnV1oi2pRClMIoLL9y6IbPlBKzWDIIkZ75iEKQfV8nzopQ3lquF5deBtdfsJKzrxbRtjZKhFAloBzIW4JCjwVrDQhILe7i1hjXV70qiyFrDOjQhW60aDML0E9X+Tsp2fxz9+0mNIbNE/WHP82nXfhzj27M0Rn6WUs/H4Um8t6dBcp9Ustun4Uy6cARn0oUzPG18nktlD3OtR1nuOo7UnpQhPCG5R/c9um3y+qQiGgJTTeXR4hR7TuFjOiuX+OXGAEsGN5lYZGU0LZVxUBh2ZWnGIEy4tT/mYqtESRW5Nwi40i4TJwl3eh4jP+RGx+OfX13gw/0xV9s2v9gY4ngBFUOlbCpIgki7pPH//sU9RAG8MCJOi+pswyjjQlXhei+iZRXELwfyNCfIMnpuTBh4dNyUOIc0B0mENIFeAGUNeiEYFPZjDwORIsnMOvg7oEhCGwPzMoyTIlKsSqApYBsSsgR6nqHrOooskyQJsiKRJjl+FOElKV9ZrZNkAmt1k0GYoisiS2WVdzeH/N7VOW73Ir6+1kDIU97dGrPnhHywM+TFeRtDVbjatlFVFUORyNIMQ5HYHPnsjFx0RWWlolG1jIOJhszNjoMkinxlucb7+w5tSyHLctwk5+U5mzgvfJF1WSBIcqqqxJYT8XzbPiQfmLQvBQiybJp0NkkWW2tYh9rtcW36uH5xlLwebbeT8tVPYhn5cRLnT7vO0yaWzyJO87nsjYNHqoL3OPB5tY/jrvs4r3kmXTjDGb6g+DxJ7sMsGz3s7PukGfzs9slvS5M/4S06u2/DVA8l+UCx3Nz142mUbWLZY2lF1amdkY8i5uw54ZTcWJrMb19soqsqK1WDjhchUiStZWlGmObMlXXCNOeb5xuIokgmSHx1pQYUmfaLFQNJEvlHFxu8vT1EIqPnRXz9fIPXVhsIkkiW5tQMiY1hwLfWmqy1yjTLNpossO6ElJWM+8OYpapOzRBwg4SKLmEoAvMllZIuEecyNVujokss2hIC0LREVqsCzgHJleRCVytTkNUJZgf2yXabQvIgzrymiNBUCrLbFooKbPNWsU+YHjgxiClBnNGslliqmehiQiaIxGFInGU4ccKXl8rc7IZ897k2mipTM1Uu101+tj7ity61ud4J+a21BlVd5p3tEV4U0xm5PN/SGIQZry7XiZKcqiajSgJVo7DxUiSBNCnKObes4h3qksD2OKRqqqzVTf7+Xo83FkuMo4yq+bEWe9+JUMSc+30fS5W42fen1c6Olqpul3QGUUqQ5If8nVerxtTtww2TY5ftj+sXk4S1o31hcvy+G07//7ijWpN+8qSXhJ9FOdWTwsO+x9N8l0+T5M6ukn2eeFqTojOie4Yz/Jri0waxR3nAHpd4dtK1ZiULx93boQz2mfMc9/DsetEn9hsFEYoAO6OAO133E/KGHAiTHEuVplpeKIhA3ZRJs4yKobHnxNStIqmtrstsjEK+ulzhzsBn3lIxFYkgzaibMl6csjXw0WWJcZSxWC4qZG2NAsZ+SN1UeW2hwtY4ZHMUUjVUapbMSkXn2xcaIMlcrKr0ApDFnEsNGy+VeW7OYujHKIrEWxtj6ppIkMaUdIVzDQtJ0XmuqTFKc/wkR5dAk0CQYV4pCCwUzgwlChJs87He1qCQJohARfg4qls1Ic6gpYGoQbsEuy4YOrTKkAlFGeDVisbYC3GinCATqZsKmq4hkfJbl1rcG+f8kyt11gc+TpgiZCk/We/zzXNlbnZcLAXW+w4/uddj0dbQZYnzrRLDAK62C9eEKEnYGLh4YczNfYcX5yyyXCDKRf7F8y3uDQP2nYA0zdEViTlLZ+AnLFd1bnV93liuEiRF2d2NUUjdkHl3e0zVkLnTdblUM6bleKf+tgek0A0TdElAlwQ+2nNm5AzRdJKVZtmhIhETu7Cj/WJSVOL+wP+EDr1d0pFEkfmyMdWiP84o12RJ/Gg57ieBZ0Uq8KTxpAj950EyTxqXJ6Wuf1Pwm/NOz3CG3yCcdnD+rBnYp0lOOUkvOOufO0sIZsnxoUS2/PDxZV1l24moG8qBJ2p+KOlnoWxQ0pWCqDgfR9DSrIj2ZWlO14t4oW1zp+fRsFTcOKVuyAzClHO1ooBA3Swqq72zPcYJY4KkKIrQtHWqlsFqzS4KGmgKH+2N+WjfoWZI3N13KKkiPT9juWbRcWP+5csLjCKBhimzUFLYHrnM2QbjMMVWJT7cHnG5pvLj9SHPtWySTGDe1litmSS5jJTliAlISvFxXG3qaDqIQhHRLWmgq3C5AQ0TKirMl4pyvRJgypDl0NKhYRVkV5EK/e2CLeNF0NQhTWG+bPLllSorVZtBkNMLQkauz9hxCZKU59o282UDRZR5eaFEx4vYGIVEScz9gceFhk0uyGiKwnJF51bPY95S6AUxDVvjQrPElfkyDV1mbxzStA2GYUqQ5uiqxN/f6fPGUoXfvdziZj9grW5iyQLXuy7Pt236YUIuQF1TsHWFPadwaHh7Z0zdkLk/8Hl5rsyuU8haBlEKMCWsP7/fp3pAWN0oKRwUDr7/WQ/dWV2qJIm0Szp3uu4hb9xZTEr8rjWs6Wt74+AQqT2UTPkYieJJ5YWfFKn6dSe58GQI/WnG58/6nT3oGpP38psSkT8jumc4w68hPo9oy2yU6kFJaUfLn04wOe64JbxJdPZQJEw6XBLYjRJeX6owDFPmy/rUoWFCKibXOESoVRlLkSnpCkGasVTSeHNjyPNtC0koohyaXPgR6LJATVO40fHYGwfUVJFhkFA1dVRV4XLDZKmkMQ4TXl0o8Z8/2qNpSGR5xv1+yBvnquyOQy43TX610WfelvnRzR6XWybPzZWRFIO1ZokkiQnjhB0nZr6sc3cUcbmuc7Pj07Rk7gwCSrpAs2Tw+nKNXIUX5myeW7CZr5icq5eYq0HZKjS1X1u1GSdwvmFRt0AXimiursJiTebFRQ1DE1BlijLDApRUEASwdAHLFPnaWo2LTRs3hVeXy8RpSlmRycnRDJO6oeDFOc2Sys44JM0ibu555HnMes9FlQQEofAvXqtqfLDnc7lpc2/gM/QTVio6XhijySLr44TvXG5yZ+Bzsa5zp+Pg+BGXGgbv7znEucBLcyUGQUKSw7fX6tzoeLQMiTzL2A8SWraKIuS8ud5HlwTGQYwpSwyjlNcWy7hxSseNWCpprA8Cun7Mq/Ml3t4Zo8sCaZYVCWxlg7KhslA26HrxIeeQSZuCopraxBv3OBzVmh+thnXUieRx4kkXI/ii4kGrT5+Gxz2Oftr4/Di+swetqJ3mHn6dcEZ0z/Abhy/agP+o9/t5JKKcZun16MP9qDb3E+eNkkPVnI67xoTMfrTnsFLRCw9UYBQUXryzpGKWUE+W7SxVomUXEdyyIRMlOXMVHVOVkEQRLyq8VGPgctMkB653HRYrBssVY1pJ7f7QZ6Wm87P1Aa8u2ny456DJIq8ulQhTkVeWaqwPAq7OWfzVzQ6LJRkniLnf9/nOc236XkrNUnHCBPIMSRB5fr6CriqsVDXyPCdDwPUjJEnEz+ArSxW2hw6XGjpRCmVNpKnr2AosVw2u7TqsljR2HZ8lS2ecgCzBxaqIbZp4MSzZMqIADVOgXNK4Ol8lR6AsgkhO34/YH/nkSchfXt/n6lwJWZaxDIPFikHTkkmSjByBLE0ZeSm2LiMCrbKOpWvUTIXOOOSn6z2qusggjPGjojTwj250yfKcME6wFIHbXY/fudhgYxBwda5UFKTwU2xVZG/ocbM7pqxIOFGGIss837bZdWN6bkRNL77nbSfmpfkS/SAhTHNMrfiOgyRDAC7VDN7eGfN828ZSJQZhwgtzpcI7N0ppmMq0vbpRQlWTDlXxm1iMTdrvLMmdSGZmt8+2/0n7m9UFn4ZkPMiO67SvT+79N4HQwIPtGR/FGu2kc35WfNqYeVKA4GHv60Hv9zelTZwR3TP8RuGLFt14lu/3YSMCs/uf9L4mBDZIP/YTPS6bfZIR/3zbpuvHeAfL0uSAwFSPO3vt6fFRclCWNy+Sy0o6/SDhXt9nqaRxo+MhkjIOipK3QZJjKRJX22WCKMVUJTaGIVmWoUsCAz/hSstmYxhgqDKSINJ1I7puUXBClQT+5taA37nUZODnJLlA3YD/7d11Xpoz2B7HGKqCKonMV1TSPOfqQpXXV5uoisoLDZ3r3YC2JaCJAhvDiOfbJd7cGnG5rqLIEkGas1Q1kUSRtq2x4xRRbEnTuVDV0CTopyKLtsScLdMLYbmsIwgy//i5BuMIXpyzGKcChqygChmDIGZr6LNas9hxEiqGwvmKSJymbIxSfu9KkyQTeXWpjGWorFYtFqo2CyWT8zWTex2XKE0xZJEwzXDDjIqpsj0MeGm+kGsEKVQ0GVEUUWSZS+0yoihS0mW8MMYLYwZ+jBdl3Om7XKzp3Ou5jP2ihLOti+w5AeMgpmmpOHExMdEOJit3ui6WWpx/EKW8MFeaJqNNyvWWDZX5mQhu0UZSel5c+CqHyVQDPvKjTyTxTKqjpVl2IpE6rs2fhuQelzB0Ut950OsnVVr7LATqWcRJn8FnsUZ7EmPwac51UoDg6H09yKLs847aPqvt5sxe7AjO7MV+/fFFs8R5Evf7eX0GD7rOSTZNU4nBMbZks7+n26JkWsFqluBOko1mzzXJOL7X92jahf/pnQPHhcWKzp6XYCoSIz8kzgVeWygjSSJ3ex5dr4geenE6/S0e+Kde3x2xPXKp6DL7XkbX8Vgo6wyCnCSJudIy+eWWwwtti1034X7P4dXFCl5S2HhtDVzudT3cOON3L9X4uztDWiWNr61W+a/X95HzjH6YMVdS2B7HJGnGuZrKjpMiCgKmkDCIRSq6xM7Ax41T5gyZkm1wfWeEl4a0TA1VM/CDgEvNErf6AUuWxI2ez3cu1vjJustiWcENEkRZwgkTgiBAU2TWmiV0ReCj/YC1kkyjbFA2dNplnXsdh7qts1iW2Rol9NygiKC2TD7cdWnaGposUjdk4gycKKNtKdRtnc2+S5bnLJR0MlFiraqzOQ7pjHw0RaTrJSxVNGRRpGnrbA59nmvZeGGKqUl03AhRFNEkgbqhoB5URNsZBXy4O+Z3LtS41g24UNPp+8V327K1qbXXBHe6LlVNYhCmWKpEVSu0vleaFl0/pqpK9IIiORA45BBytM0+TJt/UF+YTMiOSnYe5jwPen1y78dNJJ+Vqlkn4bjP66iN25O63mc9/6N8viddcxoYeAa+q6fRbk7L186I7hGcEd0zfNHxaQPx5zUgneY6xz2wgEPHzZKJyaA+Kf872WfWk3JCZicEZeKNOtm+Ny4igKYiUTYK14Q0zej5xbUrusj1PYfn2jZxVuh1xTzjZteFHFqlwn7sXM3AjQpidGt/TNeLeGtjxJeWyry50afrhby8WOVWZ0zdMpm3FaI05V4/oKGLyIrC+YbNu5s9el5EnkPVUHhrc8zzbYMsF6hZGtujCJmEjheTZTnLFZXb/QhDgpqh0vNChlFGRZeRRQFVyuk4MbIo4SU5I9fHiTIWqgaqBHkOoiByvmnxwfYQRRTYGIR89XwFBIn9UYAuCyAK7A19SqbOYlknEwTqukzHDVmpmSxWTN7ZGmDKIhdaNlvDiLIuM3J9dF3BCXNMpfAN1hWRnhtR0lXWGjq3uwFLVRNLhusdD1sReK5dRhJFRFFke+QhAG1bZ33oYyoS5+oWDUOh68dkB5ralq2SZllRxSxKudi0+WB3jAKkWcrNns9LCx8XA2lY6rSwwwSTiOy1fYfXl6tIosgHu2OutKxpFHAyYTraNo9rww/TP2bb92x7n5QjPkrIHzceljA/Czju8/q8CNbjuNZpI/oPc75n5bv6vO/lzEf3DGf4DcRpltke13LWaRwdHjbh4ji5wvT/6sc6yaPJPRMSMj2XAG1bYxClSKJ4aIlvsu9spEySiqFwsaRyuxew1iwRZwJtW6Nta9wbhtiagqnIvLc95FLdmEodfrU5ZKVq4EYZ/8OLTW50XQRB4OWFClvDiFfmbMq6zG9daCJJMt8+3yARJObLBuMg4VLdAkFioWJiawq/faGBFxeevSICKxWZYZgiCnChaRPlCueqFosVE0VRWK3bmLKEmCe0bJ0gEVhrVrA0CSlLSMgo6QqqVLwfAWiXVJIsY6FioIo5LVtmd+Qz8CJWahppLlAzVOYqJqYkECcxQRhTNSTmyybnaxbvbI2QsoT3dwbc2vd4sW1wu+ugqhJ5LlLWJUxJ4Nqew619j+faFlVd4W9u9qhrElGSECVwoWGxUrOIcwH7IGJa0hTKRlHtTpMESqpIx40KSctByd2KJrHvRHhhOiW9H+yOWato7HoRYZazWtEPJikeNV2h6xZlmCft5GNf24hLDZNr+4UDw6W6UZSLVgsiNdF3H9emj+ooT7N8O9v2jzunJIpTh4fZY04612lwkn73OHyaNvRp4qjm+PNcnv+s13pQEuKjJss9KyQXnq17mcUZ0T0Bz2IHP8MZPg2nHYgfB8l9GPuy4wbxh31ojPyI0UH1slm3hqOJJsBMdSvl430kcbokrElFpPZO1yVKEnaHARVV4q3tEWVVxAmKqOHO0Ofn93tcqBnkwJ2+yytzJf7mTo/Xlyr8ZH3AGwsltp2Yf/HiAlvjhKalcKVpU7N0/uWrS3iZxP/w4jz3hiFrDZsYWK0aRHHMKIh4b8/luaaJHyb4SY4iC2iyQJZlCKKAE2SkGZyv6aQpSAJkWUiQ5ZQNlXGUsVo3CRKBrhezUFLJ0oLEWpqCKilcaBrUdRnb0Hl1uUHTNlgum7yyVOfF5TaXWiVsXeNKu8StfY+LTRMvStEVgVyAYZiwWtO5049YqekEaUpFFbnWC7jaLlM2ZH6yPub3Lje41fG5UNNpWQofdn0ahkxdF7g/iMgFeHHO5O3tEW1Lp2SqLFcNRFFElwTe3x7Qd31GXsTID0niBCEXuDcIWLBURkGMpcooskycF1Xs7vZddFnAiwprsJv9Qt6wUDEpmxq7ByQ2TDMalsr64OMCEJNVgZKucLsf8Op8CTcqqtFNyv8+qOjJ0f5w2mSnoxnxh6Q1B4mVsxKdh9XlnnR/D/Ncmz3mYY97kjhOc/x5EqzPcq2TnBAetv2cFmc8psAZ0T0Bz+rM5Axn+DQ8a5GNycP7pKpSk31m9z+6nxsldA68bydeubPnmGgkJw+R6fYD3W7ZUKdRW0uVCdNCsdUwFMK4cFxQVYnzdQtTlQ6umbI+8Fmr69zu+7RMlS+vVPnbe32+c6lZOD5UDbaciKalHkT8FFYqOoIoYGkKe07A1bbNT+722Bt57A7HbA08Om7MKExQRFiu6Nzr+8zZKjVDxo0zZEHEi2OCKKVkKHx5tcqem1GxVK60bHbdFEkQCKMIU4X7PY+LzRI1Q0UUBWxDZhTmXF2s8k+uzgEiLy5VIYeLLYv5io4oQhhH1E2Fc3WLi3WTa7sjFqsqH+25rNYMBASqhkTV0AhSOF/VsBSR+/0Q25A4XzNxE1gua7y6WOJvbg/4ly/Nsz4KkEWRb52rI8kiuqpyrm6hSgLv73p87VyVnh+hSQJdJ8JQJG52HBZKGm4CVVvH0hSCLMfSZb5xvs7wQCZSeNwWExUnitFEgZ6fFPrZHPw4RQH2DiQY6sGkRhRFuk7Eoq0WSWozpEMR4EJd5+2dMatVAziwuHtA4YVZAnjaZKejxONYUjPjOPKgqO/sdU8zsX2U4jCTz+e05OtJJG6ddF8PO849C6RvVpp13KT/UZLlTrrO5/FdfFFwRnTPcIYzPBIeajA+IJzHDeJHB+Sj7gyT7YYmIUnCJxwVJtvTtCAmsx68s+4NcPCAiYqkJEsttpcMpUgkUmXatkbV1JgrF1ZjKzWDPTfljeUq8xWDD/dcfutcjR/f66OIOUMvpOcVFdrudN3CikyQkCSRKIwYOgFvbgyQhJyBH3NzL+BWx2HeUuj7GU1bZ7Fq8tVzdVJR4uWFCm1bpWKqNEyNsiFTs1R2hhEtS6aqS/x/39/matvEixJUWcQJMr651kBVZBYqOn2/0HeulGRkSSTKBP7xlTlu90K+vlLmw+0xFV1h10mQEei5AaoiU7F0lms6Azfh6lwJPxFYqtqYms6llo0hy8yVdN7f8fjKShk3yrnatnlx3uaDXQdVLBwYPup6vLFSp2HrBEnKhZqFJEuM/RDHj7jSttgaF5F5N4hxopieF9GyVK7vu1xqmGgHVcp0USwq0x1IE8hhHMTsDkOg0P/KisxyWeOjPQcEuNyweH/f4bmWxeYopGlq9PyEuimzVNG52fdZrRrT9tYu6cQ5qLLMV1ZrU3KXZtk0unqULEwKj4yC6BOay9NKdU6SQUwkNcdJeI7Dafvho5Cnk+QaD9r/pD7+OPEoJPdJkb6HkY5MVpxOmrTM/v4s93PSdX5TSe8Z0T3DGc7wyDjNwHn04X3c9uMe+LMDtiSKLJQN5svGsQO3JIoE6cGSYF5EgPfGwVSucOg6k+z4g6z2NC0Iy87IJ80+LhXsH0R0lysaaZZxt+dxtWXxUcfhuZZN3y/8WlcqBhujAOsgEtyydeZKGoIk4qc5V9slRFFkoaxjGYWzwNvbY16dtxkHCXVDRRUFXp4vcX8QcLVVZr6sU7F01ho2siDyykHlsf/9o33++ZUaP7k34ttrNTRF5oX5CnVb43zdZLvv8NK8yShK0TUFQRBo2wrXdkd8+1yV/3arx5ytsjsKaJoSO25M1ZBpWSqWprBQtliu2yR5jixkCHlGZ+SxOw7xo5h7g5DlisLmKOCbF1pcnq9hqCpfO1fjdt9HFQUahowfp3y4O8ZSRf7/7b1rbxxHmu/5r8yqzLqzWEVS9xtlt3yZ9ulDtfvM7ODMOTMt7uDsq8VCHmNfLywD+wEk+N3MK0P6BlJ/gXVTX2CXamAxwGAb0xbR0z3ukdsWZUvWxbwWWbesrMrMfREVyaiovNaFLFHPDxBsZkZGRkZGZf7ziSee51W9jWwqAce2oadSKKZ1LOQ1qAkHu+0uzhWzLPyX0UE+nUTTtJBLqfix0fu7YzHRm1Tww34bWU1FVmfhwy7MZlHQU/h6s44rlTR2Wl10HOCDkwW8qJk4XdTRtmxcmctBVRR0HLhitmEK08XSB9RCIY2OnUAxzZJEyPGfmY94p883fBifdb/fw2ES9TcclbAP2aNgUn68QdcmbxN9iyd5j4M+No5a7B8VJHQJghiKOA/OYX2GRVcE+QXBoyvwKea0yhadbbc6TMD2tnM2akafhQpgi9AMi8XTnc/p2G4yS6Nl2disG1jIp7DT7GK72cG5Uhrf7jTxwckSy7JV1DGX07BjdHFlLofNugk4YEIspWI+n8ZfnJrBhUoOlyoFvHeqhJ+dLeMnp2bxl4tzqHcsXD1XQj6dwkxWh+MAV+Zz+HqrDl1JQFOArm3j3RMFfLtrYOnMDP7TmQJ++7yB//O/XoaFJNIpFVdO5NhCOT2FM6UMvq928X/8lwuoGjbyuordehdzeR1//LGOv3t7DqZto9lxcHpGR1JRkVRV/P75Hk4VNDhwcLKYxlxWx/lyFi/rJi7NZfFjrYV0ilk525aDpMJ8iGfTSRTTSdTaHXxwqoAfaib0FKvvfFHDkx0DJwo6GqaFs7M5nC3nUM4xy+y+0cWF2ZyblCOTUjGrp7BrdNHsWDhf1LDVNDGbScKwHGw3WTaz3VbXTRrxbM/AuZk0rizk8XS/gw/PzyKnqUgnFTQ7FioZlh54u8VEqWjJ5QsagQNLv+gryV0YvPxpja6NS5Vcv/XXGox5G+d3IMdDDft9jbo4Lco5Rq0fmJ4MXJM4v3xtQT7VXr7Fk0I0FATNIIxCmP/4NEFClyCIyIyymCzuedJJpeeP6b0ghluKeegw9//zOlRVQTGtoZhhvrMbNQOl3n+5z3AqAXy308SZgg6AhXLii9cMy8G7J4twoOJiOYvzpQy+3mzgr87P4lXT7KUetqEoCpbOzODbnRbKmZ41UlNxopDGQiGNubwGRVFwbiaNequDk7kUvt9t4kQuhbfm8thr23j/VBGXKjnMZHW0LQeOY2Or1cZ8VkPd6KJqdPH3P1lAtc3Cif1PF2ZRbZpIqQl8cCKHL5/to5ROYiadRFZP4b+9VcH/+3gbb83qeLHbxJ5hotrs4lxJw6ONJvSkClUB/uPHJs7NpPDvL/bw3okM/vX7PZwqZnC5UsAvLlZQMx3871fPQ0tq+Lu3T+J8uYCfnS3hrfkC6m0basLB1xv7yGsKaqYDRVHwViWDb7eauDybwdfbTbxzsohW18L5UgYbjQ5mM0nYlg2ja2FGT8K2bZybSWOn2cXiXAGplIqfnWJJI7p2AhfLORT0FHKaioW8jt8+q+KtcgY5TcV208Q7C3kYlo1iWsOH52fZuNCSqLYtXJnLuXFxzxR0Nxay/LHDXRd4ZAWecpqX5QJUFg18gSNwECUhbEz7IY9Pfo4g/+Coi9OCzhv3NzysMJ6UyI1iSZ00osgV+8bLen+Ygj/qDMIwRPEfnyZI6BIEEQmvl9ykHm45PYmnVeZL2Wd18xC7sm+ba50TrLkLBZaIgE81F9MaOg7w/qkintfaTOT0Qkk1zC7OlzIwug4ulrOu+Lkyl8OLmom/vljG02oL50os9fC/fLeDK3M5bDVMZHXm+6uqTHAz31+VuVUkgD+83MPZYgrPqwa+rxq4Mp9z/T1t28baD1V0ujaSioJntQ4WCjrq7Q5Mq4vLczmke2lwL1fyuLJQxI9NC1cW8sgkVewZXVysFFDQU/jvi3P4drcNG8DJGR2O7eBFtYVsKoFvt+vQEjbz721b+OBMCT/sWfi7n8zhTDGDp3tNfLfTxP/63hz+49U+Pjw3i4WCjrlCFj+Zz2Or0cHFUhrfbjWhKAq2Gh38pJJF23LQthx8cKqIjWYbPz1RQALApVIO31dbeHc+jz+82Oul52W+tfl0Cl9vNfB2hUV5OF/KYLvFrOcZnYlbw3Jg2TYeb9VRTKl4tme4PtXcFYXDx2jTtHoZ8lQsFNgis1TCQa3VccfQRr3tikuvCB6VrNZLJJHERr3d5zfukjgYh+IYjRsdYaGQRrXdRU5L+mZPi/KR6WVhjBJuMCqydTuMSU+Xe4n6o4paIC/e8ytzmEzy+RzFf3xaoIQREpQwgiD8GdY6E/c4/sLi1rU4dXDhWGuxTFbFDPOztCwbjU4XuVTSDcTPz+P6bKoHvr7ppAI4BzF2Ldvu8/H96uU+9lpt6IqChuXgTEF3F7bxhBUACyX2tNpCWk3gm+0m7N70/9XTBTzeaeFSJYcf9ww8rTZgtDv4ZruBnJbCXD4FBQmcmMliz+jiREHHv7+s4sJMFrai4CfzedSNDpIJ4P97uotfnJ3BN9tNVPJpNNodbNZasG0He20bi3NZbNQMzGZ1PHq5h64D/PxCGc12B+2uhZPFDBbyaaw9r+LDUzl8vdOGaTlYnMsDAGotJprbHQsOgI1aE1oyiVyS+dIqsPFXl+bR6Fgwe7FvWx0LOT2F9a06/vPpGfzHZh2n8in88dU+CpqKuV5khZ/M5fDtTguzmSS26yby6RTm8xrSSQXPqgbK2SQ26yYSDmA5NmayLLYxHx+WbbNYuhb7MPlup4m3K1mW2ayX9KHW6qDWZuPhZDHj3t9HG3W8f6roji8+TtwIHb37fK6Udu89389Frzxtzev2WggUNH75frmcuFJf/D14HRtU77gQfzNRri/K+cWPjbht8fJFHcf1+l3nsO0ixg8ljCAIYuwMK3LjWlm4xYCL0SjnFlfRq4qCQjoFw3Lc47ZbHRTTWs9F4SDE1NNqC0DPZ7PVQSXLhLHRtQdWwPN9jTZbxW92HZi2DV1JQE8l3LZsNtpIKQ7SyQSeVluoZFP4vtrCyZyGTErFB6cK+NNmE5Wchu93W5jLa7hYKSCfy+CX75zGX5wpoZjWUMjqaHUs/KSSxTeb+7gwm8HXW3WkEg6ebNahKAo2W138j3dP4A+vapjPprDXbGG7YcCBAzWp4C9OFdC1HLy3MINau4tzJR1zeeaiYVoOLpSYf6yiKPgf757EHzcNnJ7JYD6roZJOYH2rjnRK5cZLqAkF758qo5DW0XVsJBI2cikV6ztNOJaNUjqJP2/uY6tu4MnmHmZ0Bc9rBj44PYPtFku+MJvV8arWRiWn4Y8/1nFhNoN6q4uN/SYUWL3QbgZO5zVs1ZhFP59J4UQxjYU8czXhlv7NuolHG/tomSbWt+o4N5PGN9tNXJnP9Sz7LF1wKplEIZ1y7+fTagvlbL87Cx8nvEyj3cW5UvrAhcbsulZccUyKCyeDrK1e47XR7uLJdsO1JMvikdfLMwPG9eWN+4EZhtf1BblSRBG53LIel0ku5htlSv44idxp9r2NCgldgjhEpuWhcZjtEFcbxz0uyqpmPlUsZj9bKKRhWA7zDa0Z2DdMlHQVDZMJradVltXsq5f7KGls+3bTxEJeZ9bXpMIiNkjuD/J1XDmRRzGj490TBbysdVyrVCGdgpZMwug6WMjreFY1MJ9jIjubUtFsWzhT0LFZM6DYNh5t1pFOJvCLMzPIplTMZTScn80hm1Ixk07iX3+o4m8vL+DJDnN3eL7Xwp5h4A/Pd7E4m8Y3W0387dvzeLzbQiWXBhzg7EwOtpNAAkBSTeD5fhPvLBTQgYL3TpZQybKYvH/abKBm2tCTCTzeqOPdEwXMZpKYL+h48O0OfvlWBaqioG7amM1quFzOQVEUXJjJYK6QxfnZPIo5HbNZDadn0vjt9zs4k9dRNTpQFQU108JCPo1KJoVyRsN7J4podh3859Mz+PNmHRdm2GK1DoCFmSw2m8yv9p2FPKqmhXwmhXIveYPRddwQcixaBgtNVs5oqJs28ukUVFXB+6eKMLosTXBaTWCrbiKdTLhjpNHuwrZ6ll6jw+6zw9wZzhT0gyx6etKN+MF9waO4DAy4OHiMXd6WfcNESVPxaKPumQiB18vHbVCZURhlcWkc8Sufk7ttTDLV8bAEWcnHsRhwHEzyfHzB77S8t4aFhC5BHBLTsjr1sNsxympjv5c4Tz7hJqHoCVV+HuZjmcLTaosljOj55HJ/zkuVHJ7X2rhYzsLoWfLSqoJXey1UMikYXRvP9oy+dj/ZbrgWtZzO6iymNbx/qohneyyr1lcv97FvmD2RbCGlOPjnx5tIKg7gMAF8YTYLw3JQyLA0t6mUirmsBqProNrL7jWbZZEGNDWBrbqBX5wt4eHzPVw9W4SaULBQzKJh2sjrCv55fRuLsxn89rsd/NdLJXyz1cC7C0X8eauBq6eLeLHfguIkMKMn8Wy3gaUzJeT0FPJ6CmvPq6joChyrgz++2EPXsdC2HJSyzDf2f3v/JP7l+yqqRhd/fb6EtuWgA2Aup0FPskVY5ayGhVwab89l8fuXNfwvV07gu702/sv5Cs7O5vB2pYD5vIZnewZ+MpfDTquLX5wv4bvdFi7M5tB1gK2GiVN5DbV2B8WUin2jg+2miUuVHABg1+jAtmykFMd1IVFVBd9s1nG6yEK5VbJafya8pMIypnUsZFMqspqKZ1XD/YCZz+vYM203prKqKrhUyQ2ILjHiR9BYFsUtt9D6faCJMxbFtIYO4IpzP0swO3fKtWR7lYlCkOXXK4JAlLq8LLdhAlx8Dk2jyPWDW/9lASh+cB/ms3Xi50uEF5l2SOgSxCExLatTj2L17zAWXT+42BBXx6dVxV2cxH1tN3sZtKyez21OS7rJJBrtrhs+yrXUWTbmC7rrW3u6oOHRRt1deX+mwJISiKuNubh5ZyGPf3tVw7kSe2FvtzpYyOv4dquJQkpBtdVFIZPCQp7Vn0o4eLLdQDnLLIZ6MoFOxwLAIj7stW1cmM2goKWgaxrSegp/dbEMo+ug1rHxwakCZrMaGqaFi+Us1ndb+MuLZTzdNbF0poSney387HQRj3cNfHB6FsmUilI+gw9Oz+BlrY1kwsFm3cCH52ahJJPIptM4O8siHKQV9mY7O6Pjd8/3MJ9N4Z1KFr95vI135vNIJxPIaSr222wB3X6rjVbHwmbdxLvzefzu2S6WzsxAUZhwVHqZyc6V0nhRN3G2qOPpbgs5XYFt29hpdfGfThZYKLPZHFQlgVxPfH71ch8lXYUDoJBJYc9gVtqFQhqbdRNLpwp4Ve9gsZLDhdksi20ruJoU0xoK6RQKmRRURcG5Utp1Z3i2x6zj4jgFmOVejH7Axxy/535jmYuOJ9sNnCmwmQEvdwVx/PDzcqEX+hvpragZVtxEdXOIao0NS1sbdD1Bz6GjNgaEwaNseLmuRHm2juv6Jv0s5zMaR/3OGhUSugRxiEzLA+Mw2zGKRdfrhes+3HvW2ZyWRKMjLATqLSg7Wcy4Prnu9Tr9dTTMg7bxaWkugPnq/yfbDXd6dT5/cB2i7/B2L+SY0bWhKsyS2DC7ODfDprzzOluktm8wa9wWX0RlWpjPa9hr20DCwY81A//+sopOp4sf9wx8V23gfFFD02RCUnHA/HW3mrhyooiTRRbt4Geniyx7WCENPZlASkngz5v7OFnQ8YcXu3i7nMaLvRb22jZ+Mp/Hi6qBrm2j4yTwwekZ2LaNt8oZ7Js2zpaYiGyaFs7MZFDQU/j9qxr++mIZf3hVQzmdwqONOppdC7qagNG1kNZUVI0uHv6wi4uVLFodZpnerJs4N5N2Ywzz+5XXU0glmIA9W9TxvNbGh+dnUciksDifRzGjoWF28XYli293Wrg4m8Vm3UQq4aDTZRb7908VsWXY+JvLc26Wu0o25YrSSlZzfWt5IhBVUVhSiW4XM7qK7Wanb2EZwGYLzE7XzXrGp295Gusgiy63QlfbXdeXWC4zit+nqvq7T4hjMohxpQwWrdLDirugD4ZpFLuyLzZH7K+obivjFLty/eNkWt5Zo0BClyCIiTLqy93v2L4wTClhfwJuZASxHBcKYl1pVemz0OW0pODukMKzqoGSrvbFUkUCfVm1RJHMxTePr2pYDhaKaaSTCWzU27C6DrYaJgp6CifyaSgK8wUuZ5J4UWvDMC0UdQVVowvDdnBlroAf6x3U2x2czmvoIIFXDRNvV7JQFTZd/3Ylh9+/2EfNYMJ8r82m9d+dL+LfXuzh6pkS/q/fv8SpQhKdbhc7rS7shIO0wtrYMC0UNBV//LGOv7k8h2rbwrmZNL7erGOnYcJJABdmMni0WUMxpeL/+WYTOTWBTreLjpPAQiELo2PhZbWOop7A06qBkzNZ/LDfRr3dwbc7LZybSePZHltc9mzPwHxew8U5JtJ5CDbRDYXfi2q7i/dOFGBYNsrZJNq95B68n98/VRSOs9yseFx0svB0nb5xc67E+r3jAAt5lvWOuxo82W64gtjoOq5wEeM18xBSXguvuAiWw4TJY3pYRCuwTJiAEkVanHMN2544bZOZRGKDcRD0PIpqDR/3DJfINH8kHCUkdAmC8GVSVodRj5UtKGJ0BHGqjS8y8qqLr6DnookvDNprtvFqj6UDLmeT+HqrAYCHd2KRG7ggTieVPl89LiQ6DhOQb1ey2Gl1oasstuuO0cGpQgrNDguHxeLE2nhabeH9hTwUVYENFRcqOVyZz6HjAPOFNM4UdXy724KmslS6TIyryGgqvtqo42Q+hVQC+P2LfZTTSfzszAyeVA38/ZU5/PZpFX//zhz++LIGVVEwl9NwZa6ADoByhvXXntHBmaLOrNd5Hb9/uY9cMgHT6uJlrY0TMzosJ4HNBosf/GPTRDKhopLVMJfTUM6yFMJGJ4FL5Sx+rBmoNltotJjY3Wyw1L07RgflLHMh2Wkyl4Wvt5jIrBkdfLfThGXZLB2zZaNhWq6IzfXi7ipcoAuW20cbdTcGryg2ja7N4hmnDgQZX1x2qcKiMlhd5vf7aKOOMwUdDbMLVVX6sqiJlrqGKWTkk2Ya5IQUUcZ90ELLqIh+v37nHLVNoxD13HHFeBiTEH6jWsP9ZrjG0cZpcY+bNiiOrgTF0SUIBn9JiIHyp/kBKrePt98r9qi8j//9aKOOGV1hlsq83ksqoKLatpBOMl9TVVHcUFTcuiiKIO46UclqeFptYSGv4/FWHfM5DaqquFPwSLDjFUVBKgGs77agqwmcKbJMXelkgon0BPD1Rh05PQXFsfFir4mMnoLlJFBMqUDCQTHDpsltm0VP6NgJJtJ7K/n/+HIPmppAVk/h3RNFNE0LzY6FUzkNe6aFaquNZELBbDYJNaGg0bGw0zSx2zTx3y/P4dsd1rYfa0107QRyegpFjbU9p6kwug5s24ZhOTg7owMO8M12EwDwzkIeNaODbEqF2lukV8mkXF/oSjblxsvl8XDLWRaxgscgZouwOqgbLLta23KQ1VQU0xq+22ni3Ewa260OE6/CR4fX2BXFa6PdxUa9jUqW+fDyqBzieBL/y8Wtqip9swbimAoTOXI75GPi/u6inDcO465vmPOPel65nyd5HcPU7/esIpEaD4qjSxDESIjWgcOYEpMX/8Q9VgwvBvT7EHrVK+7jZd8/VUTHSeBSJYecnuz5W7JwV6qi9LtICOdx+8fNyMXq41bDnKai2bGQ05LuOVLJJOZ7fpyqmkAlq+FyOYOHz/dwqZKDqigoZjTsNLu4NJth6XMTCmZyGeRSKubSSfzpxz3stzsssoCmMhHYYSIQDnCulEGjw1wTNuot7DcM/OllFfutNmY0BTtGB1lNRS6ZRNtmbgHPa22cm2HJHD48N4tvd1o4O6P3wpQlkVKZwDYsBwkwLc4FNvPZdbDT6uKnC3mcKej4freFrKai0Vtsd76UwbM9AynFQdO00Gh3XWGb1VWUs0ls1Uw3zW+udy0AcLaYxst6h7kVpJL4bqeJ03kN3+82UcmkBu6vPLXOk4lYFvO3tSxm8eWzAPyjRxS3YnxbN2GIJHL5OYKmpMXfUNDiJfF3F7TQy6t8XLxi1x61VXBUi7P8rAr7SIiDlxV2mOei19iJG/GCiA4JXYKIwJv64BGFwrhffrKw5dayKC93uQ4uMrxijIplxVXiXmzUjL4p642agbSaQCrBXBH4YqBimoUDc6fJPXxCXStgL+pDVlPdOnnKW774TVUUXCxn8afNJv7nt+bwfz/6kdVtdnGxnEW946CYTuHsjI63K1kUMzpsRcHVs7PYqrVR7EUw2GvbODGTZnWqzOK6WMkhmVTx3slZnCzlMJdPY76QRsdJoNCLT4uEgxP5FLYaJn56Iu8mcTAsFv0BDtDoWMjrKcxldChqAgU9hbmcBlVR0OxY2GvbSCcTsC0b52bS+Ha3haZp4VJJxzdbTeQ01f0AmM9raLZtlDMsjBp6/rLFNBP2lmOjZnSwb3RYhrQ9Awt5HS/qJsqZJGbSCn7/ch/nZlgkh8W5PFRVwUa9jX3DxH7rIASXuHiwktXwrGq4Flnub90nhIWFZ/y+ptWDMFjyantxrARNScvuNuL/e5Xl7RXFs19ShWFFrl+ihsMWuXGer1F8YOO4SUQ9t1f5cT4Xo/r4iu0hokFClyBCeB0c/MfZtqAXyDjPMdCnvYVE8ss9qA7RTzLK6m8xJJksMPYNk6Xu7e3jQkNVFVTbFhPA5oGwYaL2oJ6FQpoF/c+k+tqV05JQFKXPavhvr2o4nT/IwAawKexzpQx+92Iff3NhFmvP97BvdPBqny3mapgWmm0LjV5EgwuzGaRSSfy3t+ex37aR1VQ3vBmvMwXg+90W3lvIYz6fxnsnizg/m3HdL1IJZo1NJZPQkkn8xakZfLvTwk9P5FFrdZDotf+b7SZO5TVs1Q0Uen695QwTin/erOPiDLNMF3QWymu71WEhxlQFPza6OF3U3fvLKeU0FDMa86EV7kU5m0Sm5w6R01T8/sU+Thc0vNpnmcyapoXne20szqbxHxs11g6wukuayjKp9QQs/9DgHyOPNup4u8LSBDMR20FaPVhUWMmyKB08Cx739fXLhiZHY/AaV37WRT7G+sZzz9LM94tuN6NkEPNi1EQNwz5zRrWKRhGXUSyjQfV4HedXfpwW47B2ifX6ZaIjBiGhSxAhHPVUXhjjFOKHJerlPuULyrhYFVP/BiKtMPASD8CBpc616Kpshb27v94GHLjuBWIbFwppXKrkXMuemyq2abplG22WxvV0nqUR5qI2p7OwV2k14VoFG+0urszlsGMwyy8X92vP91DSWUawV80OLsxmYFsOGqbFFlllmPW13XXQ7FhIq8wK3LET+PD8LFSFLZbjaYoBAIqDbErFXpvF2+U0TQvlTApfbdSR1VSUM0mkVRYSbenMDF7UTBQyKTRNC9/tNPHTE3n8/mUN7y3ksdNirgZIADvNLv52sYLf/rCP904UXEvp+VIGjzbqOF1gbUmrCv7wqoZ9o4P1zTrMLotl2zCZj6zYX6qiQEsmMZ/XsFU38dOFPF7UTCi9SAjZlIqFnkX6fM81A2DCrQOWKlhVDjLb8dBzjXYX52bS+O2zKk4XWAroSiaFzXqbfZjw7HiFdN9HE2+T64ctiFY5GoPo3+s1zkVkVwY+FsRtPEEJtyaPO4NYnLrk31VYhAe/7XGsoqN8dEd5loXdl2HOG+f8cdol7x8mE92bCgldgojAtIpcYPzTZ3HqGuWh6mcZieoTzIWGKG69/CC5tc2wbHfx2Ga9jVTCwb5hugH+d1pdzOfYAjSvNvJpa7W36p+L3ifbDVg2m7b/83aDTdGLlrueP+d2q9Mnfo3eav+0quBptcXEb6uDnJZ0Y7AqagLzec1NNIEEYNksm9d2i6WurWRSLDyWqiCtJvBoo97zC06iYydwrpTGfE5zU+du1dj0/7fbDfzi7Ax+2GuzRWI9kf+02sI7C3k82qi7LhE7zQ7emsuj67CsaHDYQrr3TxXxzXYTV88U3UgJALMoZzUVP1QNZDUV326zeMCbNQNOAthtdlFvdfBitwUFltvn/J6lkwn3Oqu9WMOpBFAzOrAcGzb3rVWVgXi1Zwo6i9vbs8LmUknXktwwu3h7Lotnewbzu1YVFHofEPxeeFlfReuwV7QF8b9BVlwvgQccROsoZrQ+0b/dNPsiexxmBrEgYRsmTuU+4sSxisYRbl4ft8M+F8f1PJ20gcSr3mk2yBwlJHQJ4hgwzumzOCJ3UhaEqNN3sigWFwS5dWgHllm+vZBJQUsxSx0P8P/+qSK+3mKil08Py9cm+lSqquL62BpdJlzPzOioGZ2+zFp8ipwvluKCaSbNQo4ZFlu0Zli26zPLRVcxnUIxrfWsvik0epbYnRb727JtbPaiBjzbM7DVMJFUHFQbJl7ut9yFVsWM5lqfszpbSHZlIY9//WEPb81msFk3UW/1IhBkUviX73bwl+dK+H7PxIliGoqq4O1KFs/32X5u+d6oGbhYzrr+wNxlYKP3IVEzO6j3Qn7ZCRWX5ws4WUzjRDGNuYKGVErFRsNiES56fa4qCoppJviyusoWowFQFeZTnEoeuBIsFNJ94eQWCmm2mK50ENeYR8BomF1XSM7nNdcyz32uB5KL9NioGUglmNXf/Vjy+RjjY9Br7IofXuJ4AtBnPR74uBKycHkJOq/fxahEEbaBz4mAWE5Rny/D+NoGfWTEIa7ldtR6Rr1n/LoJb6hnCOIYc9RidNT6/RBFg9gOPt0rXq/8AuBlAPRlRduoGXhrNoNvtpt9Icf8fAoBuP6+3L2hYyeQ1VRYlt2XWauSSblT6Dk9iWJGg5ZM4mQx03cunmiCixsAbsiy7WYHl+fy0FIq3j9VdAVhIZOC0WULwOZyGvbbNlIpFQt53V1oJU7BZ1NMOG7VTBQ1BT/sMeHVdSxsNUx8v9vEYpn5Eb89l0W6ZzX9Zpu5MHy91cB8Tsd3O83eIr0uimnNtawyF5EE1ncNmBYLo6YnWb/ktGSfa4WeTOBUXsPjrTqqdROv9lvYqLdZe3vC3LLsXsg2Fm6saVoop1N9lnd+XwC41w3AXZT2qBdmDYCbEILXL4417iogktOYNT6dTLj3hx/Ds+uJ44KLXRn+ESaOT/cYM/j3KQvrsLE56u89trBFvyVVXrAnl4nTjjhtDbM0j/s5OI7+Hkcd0+5ed9SQ0CWIY8xRitE4DPMCFEWDOH0s+/76hW+SF6/ltCQM23Z9WYOmWbebpttuUbjkerFdVVXpT1KgMlEqWuW4hZmjKoobWxZgFsQUgB/3DDd8ltwO7t+b09g5dlosCUPTtFx/3T7rcm9hVVpNYKtlQlMT2G2z1MadLksgkdFUtLsO5nIacqmka+W8WM7ihz0DZ4vMjaKcTeLPm42+NjGrKPMrTiYcJBMsO9xuzwINwLW0MqGeQscBThbTMGwbz6otlDSVZSjrCfNiRnOt3o826m6khfOljBtBg7uPiNfZMC1YtoP17QZOF1hSCYB9+PDziwJTHlOicDvVSyctZ9ZrmF13gZjoiuDHwJjzOadbvySevQRdmL/rsALKyyLt97efJTWKOA8jSnk/QS5+UPCwcuMUu2HCetQ64raF8OZIE0asr6/j1q1bAIByuYxSqYTbt28PlHvw4AFWV1dx+fJlVKtVAMDNmzc964xT1gtKGEEQhwt/AQ7zsPeznvltj1qf1/Hivv2W6YpLgL1kNmoGUgA6gGsh5tZa8cVv2TbzcRWmoy3bxrOqgRldhWHZSDjAfEFniRQySTQ7luvWUNJZalygl8JYSJRgWTa+3mrgVCGFdseBojJ/V9eKqR8ktqi1Oni218Jb5Rw6YAkqeKSDhmkhrSb6EiOwNLnMZ8DoOtioGZjNsAQTWV11RTHPIFc3OujaNrpOAm+VM6i2LbedbvgvIebwvsEiIKzvtvDXF8tuoggeAYEvbttpdnByJuP2+5PtRs+tg1mWAbiJH373dBdX5nP4erOBpTMzrgWWCWEmUv/tVQ3vnSgMWCAtyx4Qtl7w+wwAT7YbrivLMNPfXr+DsDEZ9NuJ+9uSx6o8bmW3DS7sRcHt97sJ+v+g9kRpf5S+GdWdIQ78A0x0qyHGT1S9dmRC9/79+/j888+xsrKCxcVFAEC1WsXnn3/eJ3bv37+PL774AisrK+62Bw8e4Pbt21hdXR2oM2pZP0joEkR8hhWW4zperiuucObijwvTfcN0LbBynXxlvFcyCn4cwFMGM2ud2BY+NS6u0N83mPDbrJsopFNIJxPuan4eMaKYYX6mm3UTF8tZ7BsmtuomLpSz7gI5y2ahsWq9hWtGl2UZ43WJ18pFsm0f+AbzafSmabHwY0kWjcGwHJwp6HheayOnqWxRmG2jYydwsZzts4xatu32wUa97UZguFjOuh8ElmVjp9XtuTOo7nU2TOsgG1omhc1GGyeLGbeeted7eO9Eoe/e8X4WXR0aZheG5aCkq3hRM/HOQh5Pqy0ALBMb/9D40481XJrR8bJmYnE+PyDsvO6xLIjF+1rSk3hea+NSJedu88u0Jo8/v33y+PNyCYgqLoPg5+B9KYtEWfjL4lz+/6AP0Di/0bD2B9UVdOy4njlyPbyvuE84Cd3JMdVCd21tDb/85S/x5MkTlEold/tHH32EtbU1PH78GAATvpcuXRooBwBXr17Fp59+ihs3bsQuGwQJXYKIh9+LZtziNa6FLOpLjwtNy3Kg9fxXuWVWzIAlvtjF+KZ+omKjZvSFKuP7vSy6wIEvLreK8qn1nJbEvmHC6DrodCxkdQV7BgtZlu1FDpDbslEzUDM60NUEdptdV8Tx0GpMBDNBYtk2mm0Liqq4SR24xVdRFZR0FR2nF4/3RMGN3tA0LZwsZtw6vtthKX9zmoqTxYx7zV+93Ec5m3Qtt5ZtY6tuQlcTQAIopFk4MP5BIFpjz87o7j5u0eXpmHl9cpYyfu2FdMr9QNiot1mItySLicz9eBcKaXz1ch/nSmn3Y4HXxa2zcppo3kbLsoEE+j6IRGHLhW+13XWFIw9RJwvGuFZLr3Eklht2hsSNUOIhVsNmT9z4v5JI9mvXKM8HL3EZ9/kwjpS7Qc8+gNwJJs1UpwC+desWPvvsswFBury8jE8//dT9+9e//jUWFxcHygHAxx9/jLt37w5VliCI8eHnF5YeOMwAAC0ISURBVHiYsX3lfX7TmF51cF9QVWXiicdj5S9s8aXFr1UUlqIPoixeeLitwXMpfeU26u2DrFuC/2hJZ2luWdpZFYVMEnsGW3iW1b1FbqPNBNzJYgYdJ4ELPZ9jrzBrlSzLRFYzujC7XTcSQU5LIquzBW0dB2iYFhaySaxv1ZlQUxRXzOb0JJ5VmYC2e9fLLbwbNQMzuoKtuontZgcNk0VrOFFMo5TTUcrqrrV5u2m6AvKrl/u4VNLxdLflCloAMKyD9okxg+X7Wu5ZqIsZtp9nius4cNMyc99avrAPQN+95JZo0Q/c/TiwmNCXowuI1l8x7q37G5GST/AxEUVwyX6oYjSGYerzQo4fLNcr++Xy7dxth48fP992r7TMcfHKnBi3rnH6xcZNIjEM43qOvqkcukV3bW0NV69exe7urqcoFVleXgYAT7eD+/fv46OPPnLriVM2CLLoEsR4OCyLblSLcpQp0ChWYK96+aKwoKllURiIbf5up4m3K1l8s93ExXK271pkq6JoJZbr9XOVENvHp6Vl0cItxjxLGZ9+NayD5B0v91soplO+Vu5HG3XM5w8SRHAx/2qvhWbH6iWmSLkWVbEftpumayXWkwl07ASLrpBNophmFtmT2RT+vedrK1pZ+fnFhWCiG4qf9TDMrUDMdgb0u5pwtwYva3JYrNth3ArC6hlnWfk4ES83BXkGY5KuAuJ4idPPh41oGR91liuuJTyKv/JxYWotunfv3vW1vMp8+eWXrv+uDN++vr4euyxBEJMn7lRinLpkERnFohzHYhZ0XjEWKq9fTP/qJQ54VAAxHS23YL6zkHdTAjfMbt+1XKrk+jLFpVUFr/aYrylPYsBDnfGXv9fLTBS5bna45MFUfTGtuX6lHDf+bK+9p4qZPpEtn/udhXzP8nxgtczpSRiWgwuzWRTSByJ3IDSclkQulUQhnULHTqCSTbmiuWF2sZDX8arZwYfnZ/ss6vw6RUurZbP6xDHgdV94Gd4XYlgxbhXn9ZZ6Hx38nNvNzkDUjCfbjUgpemWr/zCWtrBjZcvrsNEOeJg8MRGIOLMhXr/cH3HaGxV5RsUPL6uv2JZJ0mh7pzEfpg/EmQTxwzDovnvtH5cFWzzP68ShC90HDx64wvPOnTu4c+cO7t27h1u3brlREjjVajVUEHPxGqcsQRDTQ9wXQBQRG+XB7vrGtqPH1+QClYft4kKvT4xKQnK7aaLSi3XLQ3Xxciw+ron3ThSwY3Q8ra2iFYeF9Urhu52m69bAfUblUGsiYsIMLnjFF7FoxeVtl8tw31weH5jXBRzEE+YiiK82/+rlPt6uZFlWOC3phhiTQ8Pl9IMU0At53b3+pmmxhW+9TGjiPRPHAo+pyzPXyWJMHjP8Wl/ttZBWmTWan0cMWZbTmSvLN9tNN5zZVy/3+5KKAAf+vGyxXrSFX3L7vMr4ETS+5WsN+y34nYffEzGRhuw+EdbOoPYOK5bCxJqf0ASCBfC44L8LWYzHFZvyh1qUOoL2jyJyx/HhdJQcutBdX19HqVTCnTt3cPPmTdy8eRM3btzAp59+iqtXrw6IXT+4qN3Z2RlrWc7+/n7fv3a7HX4QQRCxifsCiFo+TORyQeqV1jUIbumTxV1f27SDNooWTlHcqYriugYAwHxOd9vG28MtjtwSzLK4WXj/VJEldKhk8d1Os2+KXbwOUXC7160q2DfMvnS3AIuQwDKbWa4lU4zvypNWyH3I0yjLvsobNcN1yXDT9AqOcttN0xWo3LrrIvixZjXV9c3dN0z8+8s9N/VyTmcpi0uailf7LfcecMSPhIH4ypaNrK66MYH1ZALP9pjrwaONuitmG+2uG7XBsm2cLmhuUhHe9pKu4mm11Wet5n0hf0iJYksW4bKADxO7ftujJnsIE378ODkJCyeO6BnVuumHn/VSFppBAnic8PN4XVuc8/o95/w+boY5RxTifjhNkna7PaDNonAki9HW1tZw/fr1vm2Li4u4du0aPvnkk6No0gDnzp3DzMyM++/zzz8/6iYRxLEl7kNzGD83+Xj+MhStgHHOH/RCE7NdcVHLBbIYiks83rD6fUy5BdWybTerWqPddS2LS2dm8G+vanhnIe9aaUX3CN4+HlbLbUvPSsd9aAEmeM4UdHy9yVIg84xqfS+0BNx0vHw/F77pZIKJ8nrbFek5jYXa4n7HALO4NswuUgngT6/2UUgl8M+Pt9wpf7kv53N6X2i0rbqJk3kNv39xYFW9VMmhalpuxreo1ifuLrGQ11FMa+jYCbyzkMdGzcA7C3l8s910+2y7aR6Uc4D3TxX76jG6tut3vN003Q8A/o/3CReWsjVd9HuNYu0NI8pYFsdHkLVXHgeyqBpG9ATVGYegqXq/c4a5PYyCV3+NQtT7OEkLa5wPp0nz+eef9+myc+fORTruyDKjefnTXr16Fffv349k1eVlyuXyWMtynj17hr29PfffZ599FvlYgiCmh7CXoTwlG5UgiwtLdqD1WUEAuKv9v3q53ydwuFWZx9/kvq48zS8PYSW+rJ9WW1g6M8MsiT23BHEl/kE7Un0ZocTr5QJsoZDG81obH56fxTfbzYGwaKKlGmCLzTZqRi85guMKZ564YaPehmXZ/dnQeudl0QgsLJ0p4Um1jb++WHbPyT8Qcqmkm5BDFCb5dAr1joO/uTyH5zUWqeLJdoMluehYboxjLpq9RCQfE1z083ZdquTcKeftpolyNolUAq61mvupek1Ji/FSFwrpvvtWTGv9UR1691eug4tksc+jihhZ3Mt/e8HPd76UCbXWioI0zG0ojhuQX51Rkfss6jll4rhN+SFb6g+Lw7CwHpWwlfnss8/6dNmzZ88iHRdZ6C4vLyORSAz1TxauYYvGvvzyy6jNmhjFYrHvn67rR90kgojNUfpRTYsP1yRfBH7TiDzpgbyf+3u+Xcm60/WylVXMYsb/yalqxXOIQoWX50KPZ+nyzfDl9Lf5yXYDp/MaXu21+kQhFyMAXDHNBeH5Usa9NlVh1nGWZMLuu46+fsjrUFUFF2Yz7kI24GBBnVds2Fd7LaQSQDmbdEX2757uwjB7rhPKgU+0nO5VFER+wkq00C8U0q719lIl5xvKK2gciPfPvc+K0hd3V4Sv1Jfb5bfIUWy3KO5lq36QiPRbvMjb72XJC0pzPIxoHeX3GTSrEqeOqB8TQQvcDsMtwo9pEaKTRtf1AW0WhchCd3V1FY7jDPVPXCQWJeICXzS2uLjou4CM+9tycRynLEG8CRzlooFpW7Awyosg7jVwUVXJpjyPff9U0bVg8ulsUQyKbg8AE0CpBPoWP3FxwK2Q4vU92W6w8vW2Z2YvsQ7Rosnrq5oW5gu6e253sZeDXuKFg9eG6IssWrLEiA7yeTdqBvZbzD+3pPdHTRB9mPt8V02WRa3j9BI09BbKlTNJVFtd5PUUtF6GNe6SwF1BuAj0iocrj1G5L+XoDn74+eDK+M0eeAmlRpstmBMXN3pFdDgYbyxKBff9Fu9rUPuH2Rd0fcMufBuGUT9i5fEg74tyLrGOSbpFEMNz6K4LS0tLodEPfv7zn7tl/dwYeB1LS0uxyxLEm8BhTGlN47lFRhXawwr2nJYcSCbA69ioGZhJK3i133KtlG5WKUG0uNZIjYk2ObQXF4PigrFGu4u0yhZVcbcBUSQFTTvz/+cWTABuRrK0msB2q+O6Joj1yv20UEij4/THneX73MV/jo2cpvYlVPCauucCpGZ00OhYro8wP29WU6EoCs7NpPvcLbjFWRQg8mI0cYyKotLLEipaTWX6BPmQlj0vscWvg/soy+4wIuLCSH7fZLeZcRH22w4SuZP4+B1F5Irt8brfYb6/R+WuQMTj0IXuxx9/jLW1Nc99oiUXYO4SfqL48ePHuHbtmvt3nLIE8aZwlA/fo37we4mVuAwr2EVrqdyWnJaEmlCgKApOzmTwomb2iVgvUVZMawPXxS3BPNoC9+9lqXnTfWI1KMauiCyCudWUC1NVUdyUuqKgk4WamMyB7+Mh0FRVQcdOsFBighj2mrrP6Uls1NvQkwm0TMu1JrsLCRUF754ouBZM8ThZ6MnT/6I4EUUlh/eV2M9i++TrE/vBz7IXNAbFbG3idYiuKvxee9UrW6zH/fsL8suNdLwUI/qo8bpv8kdW2G8lymI+4ug5dKF7/fp1lEol3L9/f2DfysoKbty44bo2/MM//AN2dnY8Bez9+/f70gXHKUsQxPFHttgNE6yd1+O3L+z8IuJLVVUVFj2h3sbpvObGpg06p9h+MZZvJcsSTfDQYOWeJZfX4ZVgwcs/VRTQonW2mNGgJZMHMX7NLs4UdHcRnFcbBz4ypMxsol+x61dq255B9s+XMujYCSzO5d1IEfyeiqHe5OvhsXA54nUFWbf3W6abypaFDkv2Frz5jyc/ke3VJq++B/pTBsv73LEspaUWzzmO9Lp+jGqNdd1v6tMbplPus7A+DHNRmjb3rTeZI4m6sLKyMpAg4t69e1hfX8ft27fdbaVSCb/61a9w69atvuPv37+PxcXFvhBlccoSBPFmEMdCIxL0kvISSX7CURR9IlygXark0AFci22Y7yMv44a06k1Zu4Ivr6Patvozg5mDbRtInmAfZL7ynOYXBBYXZJcquQGhKIp5cRGVaFX2EmXbzc5BVjWP675UybnluYB1RbnqLfzEWLhiWC/gwMrthShoeTQKHrlCxG88+fnTeo1B2e1BFrmymA4ax2FjO6rg8isXtAgtrI6clsQOd33xEfqHzTiEqJeLkrtvSty3CCDhOI7PbZosDx48wN27d1Eul7Gzs4PFxcU+kSuXXV1dxeXLl11xfPPmzZHLehE1dzJBEMcPcTrby++OvxzFzEd8m+zvyWPN8ulwP8uwLHyiCBbZJYLHbm20mWUXDlDMaK4l1UtgiXVY1mBkBr+2if8Vj/Nql1cs2KA+5VZjzkbN8NwmWodf7bdQSKf6RCIvw5M4WLaNjXqbpTHutSesb3gZ0Q2Dk04qeFptuWJfvu5HG3W8s5CPJHREH9Gg+yQfE0dAyffDD95vcoxbfr2VbCo05rTfubys335jb5RrjXP8OHxryT/36Iiq145M6E4rJHQJ4s0kqhjwE8BeAg2Apwj0Eoph5+Db5TrF/wJwY8lyQbJRM1yx5nceXkbuCzmVqdhHAIvDK8aIlQUS/39ueUWi35UiSEBu1AykABi27Ybkkq91o95Gp9uFmmD+zqJbgdh2bmXlfeJ3feK922+xjwe+sE689o16G2cKOp7X2m4IN/FaRQt20P30u7de++T641oLw8Zt2AdHupfsQ4wZHPVcQeOZjyG//VF+k0HtkD+4JiVKJy2oiUGi6rUjSxhBEMT4ed38wYZtb9Bxfv5yYURdgBLFSsVDPcn+nAPTpUKqW/F4P19OHiPVK40sn9rmi7REtwExRa98nqD4rV5+rGIfiQLFT+S6rgutDoyu3RclgifK4HU/rbZQ0lU82W6w6A29c3j1i2XbSCcTaHcdZHV1oI2iJZa5eHQGXFm8RG5JT7qCrtq2+vyb+TVequTwvNbGpUpu4Lplv2Gxn8PwKiePn2HjtcrlZRcc9/o8/IB5bOMoIlc8l+eYl8oFWYhFl50w/Ornx4/DVSHo3EExdg/DV/d1e/YfJiR0CeKYcFgP1HExbHvjvlT8tnkRZUrWtZz6tMNLMHut7hbdGryOl9vJyxtWvx8tF4xe7gE5/SD7FRdHYtYwr2gM/LoAuLFz5fa5124O+iCL/rNyG+S+4JEOuB/xQl7HTrODSob5cua0JNKqgv2W6R4r9pGqKDhRTA8kYZA/MHiKY3Fxmte9lheE8XTLvF/EPuIL6mQXEB6lQTyPHLHBC79yfLs4fqLGa/U7n5dgFj+WoricRDk3HxfDhCMT2x/2nAh7lkRpxygEfST79ec4ed2e/YcNCV2COCZEsUhOE37tDXtYR32p+G2L+1IYsHhJVkG/dvSdy/SPqODXFjm7F0cMI+XiYRnmiAvWuDvAvmEOJFEQ2+4udGt1UNJVVxyLZcQkBWIorjMFHY826n2CjbeBlxfraZhdN5ZwTk/i5EymP5GFFDpMXIRm2XZfAgu5bnlRGRenQfdetOCK0S28rJ/iQr+G2UWj0/VcHCfHufWz7sofMFykDxMXV7YEe/WNV6xjvj/qh53XeXkdokCPS1ShLF5P2DNhks/GsPZNUoy+bs/+w4Z8dCXIR5cgjo5RffLinMdrmn0S7RH9U8VpWtntQD4vx2tfmPuEfH7Rp/PJdgML+YOU5nJd8t/7LROqqoQu3BJFnOwTHHat+4bpRp7wug6/usRrCLqPcl+JfsZyP8j1+Pk4czeHKrc89/yLF/K65zXK/r1yKDG5vGX3FjRq/m4WQceLfTQu33O/Phbvhdi3fueNcq+C2gQEj9tp5XVp5+sC+egSBBGJKL6DhwF/CRyGZUIUZUFWlrD2yMd5/c39G2WR65dRSbRkhVmLxexkfu0Tp6jdKXez392AW/1kC15OTzK/TM2/H+Q+9IrZK1+rl0sGb5N4fvmaxf/nFroga5mXJZPfU4BZzfcNFjfXrw9cn2Kzv12imwO3XvK+lRHPeb6UwfNa21OkiiJOVRQU05qbGU3uczm5BD9e7u+ov6mgsRZUhotyHn5NPJfXhxFvX5Tnjtdvg/t1x7U0TwMkco8GEroE8Qbj98I8bIKE3yTPGWVhT5i11++F6yU4xDqDwi+FuXRwcZFWlcD2y1PU4t9y8gPgwAdWFq+yKHbbYDGBE9aHQa4j7rUIcW6DxIvXNr/+DFoEJYtJL1EouijwxBFeop7//3bT7BNhYnvF+i9Vcp7X5RU316tf/ZJLcDcZL/edKAwjFnk/iu4m4pgS6+ZiOIrPsle7cnpy4KMx7sdx0DnDPpSI1xMSugTxBuP1wjwKjsLHTBaBwx4v/x30AvazUnqJHBEvH1EuLrzivMrt5JY0sW6/dlrWgeiULaBiOxpm1/WflRM9yNclt0cWxq7FuOcCAPQnKIhivfOyPsruCX4W3rAPHTFJRtg4TSsHPtle7fX7gImaIpfXK4do4/0q+0FHRWxrXIEX5UMOgOtLLvssB7UpSh/GEblRF7K+TpbiSXFcrp2ELkG84Ry1yD1KxiGsvQSqnx9h0JStn8gRLc9ebQ97IYtTy2EvLm4x2252BsaFaEHmFk4AoeGhvNL6yourxOl5sR/chWeCZTzuB5FvaDd4W/D87pHskuFVBw+JJgv2vkVr0vnTSZbpLQX4lhO38RTFXtckR9CQjw37IOJtHYfA8xKjcti7MOuqvBhtVPEZNH6ifKi+SRwnoU9ClyCII+d1fajGmTIXLW5eYkdEtl55xTf1EgJBbfTLPsWFsGhZ5KlzxTpEC7Lsn+p33/hCOLkuOdyS13S3l5sF3x6EV9/x6wqLvpHTk70MYNpApAm5br865DTH/KOA1+cVvWEhr8OwbdcyHiTKRX9pefzxjwGvdsq+rX7wjHJx+jlom0gUEenlwnNY4nNYS/Fx5DgJfRK6BEEcOa/TQ9VLwMp/+12Ll8XNS6z4TdXKGZ6ihE3yEtID1yLE3vFzZ5HP4xeaSqybiyY55JaXdc6r3+QPCD/hGTbdvG+YAxZT8XxirNzzpQxrc1Lps4J7LVz0co+Q2877k2cb8xL5OT3ZFwtYtoSLiw5ldxVx3MjJRMS2yL6tXv3ofoz14hj74SfE43ys+rUjyIXHb5t4DUGELT4l+nkdnsdRIKFLEMRUEMfP7qiI+jIP8/kMEstBVmK5DZFfRB5BJMU6VSkWbRx3Fi+hLm5fyOuecX7DhK3YTsvqRUewBlfby64NA/6/PRHZ8bguLnK5xZW36VIl5ybnEEW5n19p2JgQrfF+U/B+7h1iSmFeznccJhAYISOSuNSSgXGZeT1hH2xB+PXVsB+8UX6XogvQcRFwRDQojq4ExdEliOmFv9DivFDlad245/PyyRzlRSnHtR2mLXHb4FdeFAajxgvmdcn1BFnnotQnfxjIglC0cIvjw+ucfm3xikkr12VZwe4fUab6vdoeVB7AgcDuiWXZqh+lHWG/m7C2xRlvUa5rErGyh7kH42SSdRPeUBxdgiCOBZ7+qhFFbtBCpDjHj4txWJWGeaEGlfda8DNMm7xCWwW5TYTVJy6g49P7fj6UsjsHvy55at1vUZ6XBVt2DfETuWL9QQzj/+laxSW/36jnkOsJ2u/3d9jvIK77wrBW2zCi9uckmMSzghgfJHQJgphawqZ4g5CFStyXa5ALwbAvNFG4xMFrmn4cyH20UTMiLVjyqkcMbcU/LsL6PWgKmy9+8yrv5asbliSB1ymnFA67Lq//l88dtNArSl/KZWR3DLkNo47DOMcF3UN+7bK7Slj/TpPlcxy/pUmJd2I8kNAlCGJqGfUFEkWoRD0+anvCLF/DtsMrAkHUc4fVDRykKm60B7OARYG3rWEe+NQGWZ/DxBo/TrbKBy0Ki3K/vcJaiQI6rtWfW3tVZfB1KrY5qA6vaBpREoGEuaN4nWMYkRw4ZiV/3mHG9yhic9Rjx/XhSCJ3eiGhSxDEVDNtL5Ao/odBFsdRzhvkgzmKtZe7VBg9P9RKVhvIAuZ1jNfflayG7VYHudRBO72EXtSpeNHivN00fcV+HFcALyv9Rs2IHIJLPE68J14CPEoWsIHrceCbhEOsO6hNclmv2Q0/C3kY4kdbUBzlqHWNMm6jLEIT/ytCltg3AxK6BEEQMRjG/9BPYMU5R5CIlrOZDdtuHiN3u2nifCnjW5+fFRLAQdSCnk9rUJrpOH6VXIyHWYmj1if+zeMURwnBNXCc4Cfsde/Dkjh4ZY4L8wcOurYoERe4yA1yhwn6wAkLAeZ1jN/2qGJzGKEadI2T8KclH93phIQuQRBERKIutgnbHlRPFKucvJ0LND/f37jt5iGq/OoLEnmy5VmMIyu3KYig64/Tb17lvMpwwRkm7GWLrbgtyr33u6Yo5aMQx//Yzx0mqC/jWkGjzHJEEblRUz97tVW+xjCRPwzjdIMgxgsJXYIgJspxevCPa6ozzPIWJw4q3x7VBSAIMXtXGH7izEsU+mV1i2o1FM/h5/ca1X/aK/JCmIjm+wEMXEdYeuWw8e93zsNA/FCRt3v1ZRwrblhdcX5Lo/zuvK4xSOQDw/u6kxvEdEJClyCIiXEcrRzjepGFCdNxwQVnFJFb0pMDIcLi4iUKgyzAXhbWMLHv5/ca1mbuU8pdA7yss0GWQ6/rEOvjRBX0vAzPaDZOhvW75YgfLvy/YQvr/Ihr6R61rIhfP/iJ/FGeWSRypxMSugRBTAyycsTHb2p9GHi4MB4BIQgx9e84LNZeolAuw0We1wIwWWjJbR3FwucnaqOMV6/r8Jv2D7OMun93ugNpksPwc9+Q2xD1uCjuBVEW1h0GUc8/jGilZ9bxg4QuQRAThV4Y0YkyFR50rPx3WlWw3eyEruDneGUHk+uO41sbycIasgBsGN/MKEzCP9arXj+LIbeM+lmFxfJe22TralSBHdf/W9weNNV/WOI3itsLZ1jRGvSRRbx+kNAlCIKYEsJEjx++L/8EsJDXB4RklBe414KdMEvhsBa0sMVaUdoqtkHcFnZuuQ6/uuMQZhEWLaONdi+ahBlvYaJsXQ0T2F5l/Noc9LHiJXLFj7NJi8Oga/Cz0vN9cTiObldvKiR0CYIgjoggX9A4eL38xW1+U+tBU9teC3bCLIWAR0zYIRHbFyauLdvui4MbdzV90NT9MNb1MOQ+DfI59gtL52VdjbqwS6xHJq7bg/hxBvjfq3ES9mE0Dr9bcmE4PpDQJQiC8GDSL+txWoy8Fpu5lkIf8QQMihK5TX4r1mX8RPUo18OthAA8rbpuW82um2BBDLMWFFM4qP1eVnHxnONCbJtfiC+5nCy8R1mgFTd8WNgxQR9C4yKulV7cNooLA/F6Q0KXIAhCIq5Vaxiivnyj+MTG8bvk+8KswFEZVXR54eXC4bdwbKGQdsuJC83CFk3JAt9rgRpvR05PjjXmqlc7/KzuAyQGN8Ul7D6PIhYnKXJH6f9xfYARrx8kdAmCICTGOQUaVDaKyI2S6CFu3N2g/V7XPEr74iALWdGi7GXV5eI0bBFVULvDFnGJwjmOlTgKw3ykjJpyVzzHYRwzCuNYWDbOtpDP7usJCV2CIN5YgvwUxzEFOg4r1DRb0bh/6bisZWF9FeZqwbfxtvkhCuewRVyiAPbLFBd2XWHtiPrBISfyiDKuvPpmGA5b4AUtLDsKjlpoE8NDQpcgiGNF3AVIcgD8KOIuKuN4OY5ybNSp+6Bzh1lGxxVXNcp0epirRdwPi7AUtKJPrJf/bBhRLfJRGOZa/SzXcTkKa+Y0CstpagsRHRK6BEEcG+K8kLk1UhZq437BHtV0b5ifcZx+Ctp3mH3ltVhMFr5+FmYvn9xIbZd8YoOsyF7tnVT/RKlbLDNKWw5LdAbdW4IYFhK6BEEcG+K+kP0C4L+uL9gwf1POOIXLYYqfMIHuZ2EO8skNc1+RfWLDLKuHKdai+HjLbZ/UuUaFfGCJSUFClyCIY0Uc/9k45ePUeVTHh/mbvm54RUEIE+hhGb5E/9xGu+uZflgWw3ybWJ9X3eNerDiqT+3rJByH/fiaVP8RxwcSugRBvHFMQgSMWmfc40fxIQ5za5gUcev288v1q1terCXXJSLG4A07b1S/7XEuVjyshYzTxDAid1L9RxwfSOgSBPHG4SVkxl3nJI+flAiapDgYtu44/Rk1LrEYRcEv3XJcf9hh2jtp95JRRe60i8Rx9d+0XycxGiR0CYI4dKbhxTLsSv0odUZlWH/OSYmgcVkBvfpykhbGMGuuXE50SYjT5+MmKOKD3zkP67fzulhEgz5WD+OjkZh+SOgSBHGoTNuL5aimeMdhlZ0E4xC5QaliJ0HUezgJP9BhGdaf1ysk3iQ4ateHYfplmPt01NdJTB4SugRBHCrT+GI5irYcZj+87vFPhw2DxqMseJUbZyzcYRimn3K6d0i8SXGUIjdOn4/DbYg4vpDQJQji0KEXC+OwRO4khFpQfeMWucNYPnlEBcuyfZOC8O1h1zKpD5Jh6vQLiXcYHNYH07AfATLTMmtEHC0kdAmCII4xk7KwHpb7ybCRDABAVRQYlu2ZFIRbRjdqxtiyl00Sv/Bmh3n+KPd8XGNiki40xJsFCV2CIIhjzriF0WG7nwwbySCnJ30toHx7VAtpFIHnFY93HEQR45Mmyj2fJnE5jS5SxNFAQpcgCIKIzVELiDhiyq+tOT2JjZoRSeSGZWSzLLsv+cS4RF+jzbK9+aU2DjrO6/9HIcy/OaoYPiyOeoweFtPwYTHNkNAlCIIgYnHUL9ZxJQrYqBko9cRuEEFxh/l+VVX60gWPy6IoxvyNChfe3Mo8TitrWOSH18Xie1ygPg2HhC5BEAQRmTgv1km9fMNEpN8+0doKMPeFaruLnBY/EYTcD9xVIuiYYRmqnsTBseOcwh8l8gO5E4wf6tNwSOgSBEEQkYn6Yp20pSmnJz19Yv0SR4iWyD6BqiVd62fc80+rwMjpyT7r8rgZJfLDNPbX6w71aTAkdAmCII4pkxSZUcpMUgh6CekoKWFlkdYwu671My7TLDBGyfw3bNzicUHT8MQ4IaFLEARxDJkG371JiiE/URslpa4oAitZza3nOAqsMP9imSjjZpL9NA3jNoigfiOmExK6BEEQx5Bpmlo/Ssty2PHcyssTTBxHwRLmXyyXDRo3h+GSMi3jVsbv2qddnL/pkNAliGMOPXzfXCYtFqIuSDvMRANx6esjx7+cX4SH15EwMRlmFZ+0EJ1GkQsEzyJMqzgngCO7K/fv38fq6mrfttu3b6NUKg2UffDgAVZXV3H58mVUq1UAwM2bNz3rjVOWII47osighzAxTqKOLe4SEDXs1FGN06B2erVvGto8CqO0+XW83nExzMcBcbQcyZ25desWlpeXcffuXXfb+vo6fvnLX+I3v/lNn9i9f/8+vvjiC6ysrLjbHjx4gOXl5QGhHKcsQbwJRBEZBDEMccZWWJmwug5rDAeJGLkN4/htTdNvc5raQhDj5NBdF9bW1gAA165d69u+uLiIX/3qV/jkk0/cbdVqFZ988gl+9atf9ZW9du0adnZ2cO/evaHKEsSbBL28iEkxzrF1VD6hUfGL5DAs03Jd09YWghg3hy50Hzx4gA8//NBz39LSkiuEAeDXv/41FhcXPd0ZPv744z6LcJyyxCDtdhv/+I//iHa7fdRNea2hfhwf1Jfj43Xuy2nyfxxnP8a9rkmK0KPo49d5TE4b1JfBHMliND/Rub6+jsXFRffvlZUVlMtlz7KLi4tYW1tz/XDjlCUGabfb+Kd/+if6oYwI9eP4oL4cH697X06DyAXG349xRO6kLa6H3cev+5icJqgvgzl0oXv9+nU8ePAAH3300YDwvH37Nm7duuX+/eWXX/YJXxG+fX19PXZZgiAIghCJLCKT+mQb4sE0WbUJ4nXj0IXu4uIibt++jfv37+PSpUt48OABAODevXtYXl7u892tVquerggiXLzGKUsQBEFMP4flMxo5BJppAV2T/feQIZFLEMNxJL+cmzdvYnFxER999BGWl5exuLiI1dVVX4usF1zU7uzsjLWs47BAis+fP8f+/r67Xdd16Prhf8kfFvxaxWsm4kP9OD6oL8fHYfXlOFfuc/G5v384lsyNfdb2/YDZX8toAGoKltHAy02HxOcI0O97fLwpfdlut/vcM2q1GoAD3ebHkf1KS6USbt68ibW1NTcE2MrKCpaWlo6qSQAOOu6999470nYcFefOnTvqJhwLqB/HB/Xl+KC+HA/Uj+OD+nJ8vKl9WavVMDMz47v/yOLofvjhh7h9+zYA5rbw6aef4urVq1hdXR0IPeYF9+/1W4A2bNnTp0/j8ePHSKVSSCQS7vbjbtElCIIgCIKYVmSLruM46HQ6OH36dOBxkYXu8vKy608bl93dXdd9gMezvX79urv/xo0buHbtGpaXl/HRRx/hyZMnof62k0JRlFguFARBEARBEMR0Enkx2urqKhzHGeqfKFpv377tWnJFFhcX8fDhQwBwBfXi4qLvAjLub8tFaZyyBEEQBEEQxPHnUKMuhEVGKJVK+Oyzz1zBurS05Bv7ViwTtyxBEARBEARx/DlUoVsqlSIlbeCW1+XlZV8r7ePHj/t8eeOUJQiCIAiCII4/CScsLsOYWV5exq1bt3yFJ4++wEXxpUuX8PDhwwG3g8uXL+P27duur2+csm866+vrbmKOcrmMUqnk6U7y4MEDrK6u4vLly+4Hys2bNz3rjFP2OHLnzh0sLS15jmvqx2Du3buHx48fY21tDTs7O7h27ZrneASoL+NCfeANjbnJQs/D4aH38wRwDpnd3V1naWnJWV1dHdh+48aNge0rKyvO9evXB7Zdu3ZtoO44Zd9UVlZWnKWlJefx48futt3dXefmzZsD5eS+XF1djdzvfmWPI7u7uw4AZ2VlZWAf9WMwN2/eHBiL165dc0qlkrO7u9tXlvoyHtQH3tCYmyz0PBweej9PhkMXupybN286N27c6PsnP2Q4q6urzs2bN527d+86t2/fdm7fvu1bb5yybxoPHz70fJhfv37dWVxcdP/e3d31LOc4jrO0tOTcvXt3qLLHldu3b3s+2Kkfg1lZWXEePnw4sJ2/KMUHMfVlPKgPvKExN3noeTgc9H6eHEcmdInD59q1a57Cn38UiH8vLS151nH79u2+fXHKHkdWV1edhw8fej7YqR+Dka0UIjdu3HAAuA9o6st4UB94Q2NustDzcHjo/Tw5DnUxGnF08Ax0N27cGNh348aNPn+dlZUV3+Qai4uLWFtbc/184pQ9jqytrflG86B+DObevXtYXl723Hf16lUAwJdffgmA+jIu1Afe0JibLPQ8HA56P08WErpvCHfv3sXi4mKkRBxffvmlb8xhvp1HuIhT9rhx7969QId+6sdgfv7zn/vuk7MZUl/Gg/rAGxpzk4Oeh8ND7+fJQkL3DeHBgwfuwL5z5w7u3LmDe/fu4datWwNfdGHxjoGDH0ecsseJ9fX10JTS1I/BrK6uYnV11XPf48ePARzEvqa+jAf1gTc05iYDPQ9Hg97PkyVyCmDi9WZ9fR1LS0u4c+dO31f3+vo6rl69iocPH0b6muRleLa5cZV93bh///5I4VmoH4O5d++e5zSeF9SX8aA+8IbG3PDQ83A06P08Wcii+waxtrY2EEt4cXER165dwyeffHJErXr9uH//PsVkniC3bt3C4uKib1xTghg3NOaGh56H44Hez5ODhO4bhpe/ztWrV3H//v1ITumyH9u4yr4uVKtV7Ozs+Po9xakHeHP70Y+1tTXcu3cPq6urkSwYAPVlXKgP+qExNzz0PBwv9H6eDCR0p5zl5WUkEomh/sk/jDCndL7a+Dgyrn6MM715XBnnmJT56KOP8Jvf/GbkFydBRIXG3PDQ83B8vMnv50lDPrpTjt/CibhEWdHJndIXFxd9HdS5Pw//8cUpe5SMox+DQud4cRz7ERjfmJRZXl7G3bt3Pfv4uPblpKA+iAaNueGh5+H4eNPfz5OGhO4bwtLSUujqSh56Z2lpydfyxuvgD7g4ZV931tfX8cUXX+Du3bt92/n1f/755/jiiy9QLpfdlyf1YzQ+/fRT3Lp1C9euXfPcT30ZD+qDcGjMjQY9D8cHvZ8nC7kuvCF8/PHHWFtb89wnfikCzMrh96N7/Phx34shTtnXnevXr2NlZcXzHwB89tlnWFlZcR/81I/RuHPnDj766KOBa1xfX8eDBw8AUF/GhfogGBpzo0PPw/FB7+cJc9Sp2YjDo1QqDaRldByWevDGjRvu3zw/9uPHjwfKLi4u9tURp+xxZXd3NzC3O/WjPysrK87q6qrvPt4f1JfxoD7wh8bcZKHn4XDQ+3lykNB9g1hdXXUWFxfdXO6Ow3Jhy9schz3wr1+/PrDt2rVrA/XGKXsc4bnd7969O7CP+tGfhw8fOteuXXPu3r3b9+/27dueedipL+NBfTAIjbnJQ8/D4aD38+RIOI7jHK1NmThMHjx4gLt376JcLrthYfxiRz548ACrq6u4fPmy6+fjFxQ8TtnjwtraGj7//HOsr69jbW0NpVIJ165dw/Lyct9KZOpHb2ZnZwOjMCwuLrrZqjjUl/GgPuiHxtzkoOfh6ND7eTKQ0CUIgiAIgiCOJbQYjSAIgiAIgjiWkNAlCIIgCIIgjiUkdAmCIAiCIIhjCQldgiAIgiAI4lhCQpcgCIIgCII4lpDQJQiCIAiCII4lJHQJgiAIgiCIYwkJXYIgCIIgCOJYQkKXIAiCIAiCOJaQ0CUIgiAIgiCOJSR0CYIgCIIgiGMJCV2CIAiCIAjiWEJClyAIgiAIgjiW/P9Wd9S0Pg2rnQAAAABJRU5ErkJggg==", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(ffps[3], ffps[4], 'o', markersize=0.1, label='FFPs', alpha=0.3)\n", + "plt.xlim(-750, 750)\n", + "plt.ylim(-800, 600)" + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 47, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(stars[3], stars[4], 'o', markersize=0.1, label='Stars', alpha=0.3)\n", + "plt.xlim(-750, 750)\n", + "plt.ylim(-800, 600)\n", + "plt.legend()" + ] + }, + { + "cell_type": "code", + "execution_count": 73, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 73, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(stars[0], stars[2], 'o', markersize=0.1, label='Stars', alpha=0.2)\n", + "# plt.plot(ffps[0], ffps[2], 'o', markersize=0.1, label='FFPs', alpha=0.05)\n", + "plt.plot(ffps_smaller_r[0], ffps_smaller_r[2], 'o', markersize=0.1, label='FFPs less perturbed', alpha=0.05)\n", + "\n", + "plt.legend()" + ] + }, + { + "cell_type": "code", + "execution_count": 66, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 66, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "\n", + "\n", + "plt.legend()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Stats" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "def my_cdf(sample, x):\n", + " # Counts how many observations are below or equal to x and normalize\n", + " return np.sum(sample <= x) / len(sample)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "num_samples_pbh = 1000\n", + "num_samples_ffp = 1000\n", + "\n", + "samples_pbh = sample_crossing_times(t_es_limited, gammas_pbh, num_samples_pbh)\n", + "samples_ffp = sample_crossing_times(t_es_limited, gammas_ffp, num_samples_ffp)\n", + "\n", + "num_bins = 20\n", + "bin_counts_pbh, bin_edges_pbh = np.histogram(samples_pbh, bins=np.logspace(np.log10(s.cadence), np.log10(s.obs_time), num_bins))\n", + "bin_counts_ffp, bin_edges_ffp = np.histogram(samples_ffp, bins=np.logspace(np.log10(s.cadence), np.log10(s.obs_time), num_bins))\n", + "\n", + "# Plotting the histogram\n", + "plt.bar(bin_edges_pbh[:-1], bin_counts_pbh, width=np.diff(bin_edges_pbh), align=\"edge\", edgecolor=\"black\", label=\"PBH\", alpha=0.5)\n", + "plt.bar(bin_edges_ffp[:-1], bin_counts_ffp, width=np.diff(bin_edges_ffp), align=\"edge\", edgecolor=\"black\", label=\"FFP\", alpha=0.5)\n", + "plt.xscale('log')\n", + "plt.xlabel(\"$t_E$ [hr]\")\n", + "plt.ylabel(\"Count\")\n", + "plt.title(r\"$M_{\\rm{PBH}} = $\" + scientific_format_less(s.pbh.mass) + r\"$M_\\odot$, p = {}\".format(s.ffp.p))\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "def ks_2samp(sample1, sample2):\n", + " # Gets all unique observations\n", + " observations = np.unique(np.concatenate((sample1, sample2)))\n", + " \n", + " # Computes the CDF for both samples at each observation\n", + " cdf_sample1 = np.array([my_cdf(sample1, x) for x in observations])\n", + " cdf_sample2 = np.array([my_cdf(sample2, x) for x in observations])\n", + "\n", + " # Computes the KS statistic\n", + " D_ks = np.max(np.abs(cdf_sample1 - cdf_sample2))\n", + "\n", + " # Calculates the P-Value based on the two-sided test\n", + " m, n = float(len(sample1)), float(len(sample2))\n", + " #Should this just be m or n if they're the same length?\n", + " en = m * n / (m + n)\n", + " p_value = stats.kstwo.sf(D_ks, np.round(en))\n", + "# print(D_ks, np.sqrt((m + n)/(m * n))*1.36)\n", + " # p_value = stats.kstwo.sf(D_ks, np.round(np.sqrt(en)))\n", + "\n", + " return {\"ks_stat\": D_ks, \"p_value\" : p_value}" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "ename": "NameError", + "evalue": "name 'gammas_pbh' is not defined", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m\n", + "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)\n", + "\u001b[0;32m/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_42445/3115951314.py\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n", + "\u001b[1;32m 1\u001b[0m \u001b[0mnum_samples_pbh_temp\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;36m0\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[1;32m 2\u001b[0m \u001b[0;32mwhile\u001b[0m \u001b[0;32mTrue\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m----> 3\u001b[0;31m \u001b[0msamples_pbh\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0msample_crossing_times\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mt_es_limited\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mgammas_pbh\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mnum_samples_pbh_temp\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0m\u001b[1;32m 4\u001b[0m \u001b[0msamples_ffp\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0msample_crossing_times\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mt_es_limited\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mgammas_ffp\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mnum_samples_ffp\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[1;32m 5\u001b[0m \u001b[0msamples_both\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mconcatenate\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0msamples_pbh\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0msamples_ffp\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\n", + "\u001b[0;31mNameError\u001b[0m: name 'gammas_pbh' is not defined" + ] + } + ], + "source": [ + "num_samples_pbh_temp = 0\n", + "while True:\n", + " samples_pbh = sample_crossing_times(t_es_limited, gammas_pbh, num_samples_pbh_temp)\n", + " samples_ffp = sample_crossing_times(t_es_limited, gammas_ffp, num_samples_ffp)\n", + " samples_both = np.concatenate((samples_pbh, samples_ffp))\n", + " ks = ks_2samp(samples_ffp, samples_both)\n", + " if ks[\"p_value\"] < 0.05:\n", + " break\n", + " num_samples_pbh_temp += 5\n", + "\n", + "print(\"Fraction of pbh samples needed to distinguish: \", num_samples_pbh_temp/num_samples_ffp)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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D7e7uEpQBRC64e/HRqRInqVQqkjR2dzgmKAMYKx+be0Gf/KQVdRkAcGE5jiPbtnuaN+z7vra2tpTP51Uul5VIJEZQYXgIygAAADAqFosdc4SDxX3lcrnrNaVSqWPOcaPRUCqVOnHHiiB8HxbcGTlKBGUAAAAYDbIlWyaTObY4z3VdLSwsqFgsKpPJHLsmn88bX6dUKvX12mF7KtJXBwAAwMSLx+PtvZDHCUEZAAAAQxeMGLuuG3ElvSMoAwAAYOiCgNzPbhlRY44yAABAn+43fxx1CceEWVOw33FYC+oqlYpqtVrXnTJMrxMcu3PnTig1DIKgDAAA0KOZmRldnnlOd/7qm/ow6mIMLs88d+ptmU/i+77W19fb+x47jqN4PH7iVnBHr1ldXW1Ps/B9v73vcrVabW8Pd9rrFAoFVatVSZ17MPe7sPCsplqtVmukrzjB+rl3OHAWF/FWzp7n6Xe/8Yr+0Rf/wYXbR/lHP/L17T/+G/2Lf/Z/6Gd+5meiLge48N59913t7e1FXYbRzMyMPv7xj0ddxrnWT15jRBkYMxf1Vs4fvH9Pt956S7/4IUERQLQ+/vGPE0YvCIIyMGYu6q2c/7bxIzW+9QMdHBxEXQoA4IIgKANj6qLdyvmd987nx5wAgMnF9nAAAACAAUEZAAAAMCAoAwAAAAYEZQAAAMCAoAwAAAAYEJQBAAAAA4IyAAAAYEBQBgAAAAy44QgAAEAfdnd3de/evajLMHruuec0OzsbdRkTg6AMAADQo93dXf2L3/3ftf/+e1GXYjT9wsf0T37rnxKWQ0JQBgAA6NG9e/e0//57+qX4c7psPR91OR3u+B/oz9z3dO/evYGDsu/7chxHtVpNnucpkUjItm1ZliXf9+V5nur1unzfV6vVCq19oNlsamlpSblcLqwfy5kQlAEAAPp02Xpen/jYi1GXYXC2KSGWZalYLKpUKimbzapYLHYEWelJmL5+/bo8z5Nt26G3TyaT2tzc1Pb29pm+lzCwmA8AAAA9syxLa2tr8jxv4PaxWKxr+2KxKNd1VSgUzlzrWRGUAQAA0JdEItFzUO63fTDCXK1WB6otTARlAAAAnMrzPNVqNUlPRokTiUSo7Q9fJ0nxePwM1YaDoAwAAIBTHR0RPjq3+KztA47jyLZt5fP5/gocAhbzAQAAwCifz7d3sNja2lK5XA61fbFY1OXLl9uPG42GbNs+9bpRISgDAADAKBjd9X1/KO2z2WzPI81RYOoFAAAATmRZlhzHGVr784oRZQAAAJzKtu2+Rn/7bX8eMaIMAAAAGBCUAQAAYNTrXON+2zebzYGef9SYegEAANCnO/4HUZdwTBg1+b6v9fV1VSoVSdLq6qoSiYSSyaRxH+SztnccR/F4/FxsBWdCUAYAAOjRc889p+kXPqY/c9+TdC/qco6ZfuFjeu655wa+3rIs5fP5noPrsNtHjaAMAADQo9nZWf2T3/qnunfv/IVk6UmQn52djbqMiUFQBgAA6MPs7Cxh9IJgMR8AAABgQFAGAAAADAjKAAAAgAFBGQAAADAgKAMAAAAGBGUAAADAgKAMAAAAGBCUAQAAAAOCMgAAAGDAnfkAAAD6cP/+fT148CDqMoyeeeYZXbp0KeoyJgZBGQAAoEf379/Xt/7tn2nnww+iLsVo7tnn9ctf+CXCckgIygAAAD168OCBdj78QJfsv6dnn3su6nI6fHjvnna8H+rBgwcDB2Xf9+U4jmq1mjzPUyKRUDweb59rNpuKxWLK5/OyLGug55fUca3runIcR/V6XeVyWYlEYqDah4GgDAAA0Kdnn3tOz8+8GHUZx9w/4/WWZalYLKpSqSidTqtcLh8LxNlsVlevXtWtW7f6Dsv1el2xWKwdviUpHo+rWq1qamrqjNWHb6wX85VKJTmOo2QyqYWFBTmOY2yXTqeVzWbluq6kJ3/N1Go1pdPp9rHDarWaHMdRqVRSoVBQoVAY6vcBAAAwLvL5fHvkuV/lcrnruUFGqIdtbEeUHcdRNptVJpOR9CT8ptNpzc3NHfsLx/d9VSoVlUql9jHLslQulzv+opGkSqWizc3Njo6s1WpKJpOqVqvD/aYAAADOuSBjNZvNvq6r1WoqlUrKZrNDqGo4xjIoVyoVraysyLbt9rEg+M7NzSmdTneE2ng8Lsdx2qPHtm0rlUode17f97W6uqpbt251HE8kEu0R5iCYAwAAXESVSkWSjgVe13W1ubmp+fl5SU9yVS6Xk/QkJAeDkOvr6+0Ml8/njz1/MLDZaDS6thmVsQzKN2/eNAZdy7KUyWRUKpXk+37HqHIikTh1cvjW1pZs2zYO/a+srKhYLBKUAQDAheT7vra2tpTP548tuqvVasrn8x0DlYfnOQc5rFQqaW1t7dgn+oFyudyxUHBubk5LS0vG3DcKYzlHuVQqKZlMGs8tLCxIejJZvF/lclmxWMx4zrZtua7bXq0JAAAw6UqlUvtra2tLjUZDqVSq41N96cno8tE5y6lUSrVarT0C3QvLsjoGLBcXF3Xz5s0zfQ9nMZYjyouLi13PBUG2W+A9Sb1e1/LysvFc8D+E53ld/woCAACYJJlM5tgn7a7ramFhof1Ju+u68jzPmM8SiYQ2Nzd7HhFeWlrqeBz1Ar+xDMonLaoL5rMcDbOe56lWq3W0W1tbO7bo77QOISgDAICLLB6PK5VKtTdVCD7F75ahPM8bYXXhGsugfBLTgjvP8+S6bsfx4K+h7e3tnv5a6WeF597eXsfj6elpTU9Pn148AADAGAg+aXddt/3f3QYcj07TCHie176pyTDt7+9rf3+//fhoTjvJWM5R7sZxHNm2fWx1ZLlcPjbkH4/HFY/Htbq6GnodV65c0ezsbPtrfX099NcAAACISrCTWDweVyKRkGVZHZ/cB4ItdrsZZKpsv9bX1zty2ZUrV3q+dmKCsuu6KpVKqlarPc9nSSaTPU8w72fu8+3bt7W7u9v+Wltb6+k1AAAAzrtKpdLe5SKwsbFxbGCwVCppcXGx4xP9eDzenqrhuu6p01l93z/zRgpra2sduez27ds9XzsxUy/S6bRu3LjRdXjfJAi9vXRUP2ZmZjQzMxPa8wEAgPPlw3v3oi7hmDBq8n1f6+vr7YHE1dXVjqkVwXzjarXaMWUi2AnDcRzNz8+3w+3RdWUbGxtyHEe+73dM3ygWi+3XbjabWl5e1vr6uur1ejtYF4vFgb6ns0yBnYignEwmVSwWjWE3m83KsizjZtVH5x3btt11wvnhNgAA4GJ65plnNPfs89rxfqj7URdjMPfs83rmmWcGvj7ITIPc5COY1npam6PhOR6Pq1gsHgvCg9YRprEPysG+fd0mgm9tbXU9F4TiYDuTeDzedXg/aMuOFwAAXFyXLl3SL3/hl/TgwYOoSzF65plndOnSpajLmBhjHZQLhYLS6fSxIHx4FWUmk+n610i1Wu24E18ymezattFoDH1VJgAAOP8uXbpEGL0gxnYxX6VSaa+0POrwViVLS0vtlZmH+b6vSqXSEYyXl5fVbDaN0y8qlcqxe5oDAABgco3liHIw6TudTqtUKrWPB9MmNjc3tb29LUntDbGz2WzHtInr168rk8l0bBtnWVZ7knm5XG4fr1Qqsm07svuMAwAAYPTGMihfv35dvu8b9+uTji+4KxaLKhQK2tzclO/7ajabWltbMwbfVColy7JOXbUJAACAyTaWQXlnZ6fva3K5XM9tE4kE85EBAAAuuLGdowwAAAAME0EZAAAAMCAoAwAAAAYEZQAAAMCAoAwAAAAYEJQBAAAAA4IyAAAAYEBQBgAAAAwIygAAAIABQRkAAAAwICgDAAAABgRlAAAAwICgDAAAABgQlAEAAAADgjIAAABgQFAGAAAADAjKAAAAgAFBGQAAADAgKAMAAAAGBGUAAADAgKAMAAAAGBCUAQAAAAOCMgAAAGBAUAYAAAAMCMoAAACAAUEZAAAAMCAoAwAAAAYEZQAAAMCAoAwAAAAYEJQBAAAAA4IyAAAAYEBQBgAAAAwIygAAAIABQRkAAAAwICgDAAAABgRlAAAAwICgDAAAABgQlAEAAAADgjIAAABgQFAGAAAADAjKAAAAgAFBGQAAADAgKAMAAAAGBGUAAADAgKAMAAAAGBCUAQAAAAOCMgAAAGBAUAYAAAAMCMoAAACAAUEZAAAAMCAoAwAAAAYEZQAAAMCAoAwAAAAYEJQBAAAAA4IyAAAAYEBQBgAAAAwIygAAAIABQRkAAAAw+GjUBZxFqVRSo9GQ67pqNptKJBLK5/PGtrVaTdVqVfPz8/J9X5KUy+XO3BYAAACTaWyDsuM4ymazymQykiTf95VOpzU3N6dbt27Jsqx220qlos3NTZXL5faxWq2mZDKparXa8bz9tAUAAMDkGsupF5VKRSsrK7Jtu33MsiyVy+V2YA74vq/V1VVtbGx0PEcikVCz2VSpVBqoLQAAACbbWAblmzdvKh6PHztuWZYymYxqtVp7ysTW1pZs2+4YYQ6srKyoWCy2H/fTFgAAAJNtLINyqVRSMpk0nltYWJAk1et1SVK5XFYsFjO2tW1bruu2Q3U/bQEAADDZxjIoLy4udj0XBNkg8Nbr9Y4pGocFxz3P67stAAAAJttYBuVqtdp1YV2j0ZCk9tQM3/eNUykOC8JvP20BAAAw2cZ214tuSqVSeyeM0wShuNlshtp2b2+v4/H09LSmp6d7qgkAAADh2d/f1/7+fvvx0Zx2krEcUe7GcRzZtt11L+VRuXLlimZnZ9tf6+vrkdYDAABwUa2vr3fksitXrvR87cSMKLuuq1KppO3t7VOnTwSOzmcOq+3t27c1MzPTfsxoMgAAQDTW1tb08ssvtx/v7e31HJYnJiin02nduHGj62K8UZqZmekIygAAAIjGWabATsTUi2QyqWKxaNxb2bbtrgvwgvnGQbjupy0AAAAm29gH5Ww2K8dxlEgkjOfj8XjXvY+DUBwE7H7aAgAAYLKNdVAuFApKp9PHQrLnearVapKejDZ3GyVuNBod1/bTFgAAAJNtbINypVJRPB43hlfXddtTJJaXl9VsNo0BuFKpKJvNth/30xYAAACTbSwX87muq2KxqHQ6rVKp1D4eTJvY3NzU9va2pCf7H29sbMhxHJXL5XbbSqUi27aVSqXax/ppCwAAgMk2lkH5+vXr8n2/Pb3iqKML7lKplCzLkuM4mp+fbwdq0939+mkLAACAyTWWQXlnZ6fvaxKJRM9zjPtpCwAAgMk0tnOUAQAAgGEiKAMAAAAGBGUAAADAgKAMAAAAGBCUAQAAAAOCMgAAAGBAUAYAAAAMCMoAAACAAUEZAAAAMCAoAwAAAAZjeQtrQJLefvtt7e7uRl3GyHmep4MHD6IuAwCAiUdQxlh6++239Zsvf1l3H9yNupSR++D9e7r11lv6xQ9/JupSAACYaARljKXd3V3dfXBX8V/4tD4290LU5YzU3zZ+pMa3fqCDg4OoSwEAYKIRlDHWPjb3gj75SSvqMkbqnff2oi4BAIALgcV8AAAAgAFBGQAAADAgKAMAAAAGBGUAAADAgKAMAAAAGBCUAQAAAAOCMgAAAGBAUAYAAAAMCMoAAACAAUEZAAAAMBjpLay/973vSZJisZhmZmZG+dIAAABAX0INyr/+67+ub3zjG13PV6tVSZLv+2o0Gvrc5z6n3/qt3wqzBAAAACAUoQblWq124vnV1dWOx6+99pp+93d/l7AMAACAcyfUOcqtVquv9teuXVOj0QizBAAAACAUoQblqampvq/xPC/MEgAAAIBQhBqUm81mT+329vb0+uuv6wtf+EKYLw8AAACEZqA5ysvLy/I8T57naXd3t+PcRz7ykZ6fx7bt9gI/AAAA4DwZKChvbW21/7tWqymfz+vGjRuamprS9evXe3qOZDKpTCaj2dnZQUoAAAAAhurMu14kEgklEglls1l95zvf0be//e0w6gIAAAAiFdoc5WKx2PeuFwAAAMB5FepiPsdxwnw6AAAAIDKhBuWjNxTpxU//9E+HWQIAAAAQilCD8iDu3LkTdQkAAADAMaHewlp6skdyqVRStVo9dV9l0/ZyAAAAwHkQalDe3d3V1atX5ft+z9cMcjc/AAAAYNhCn6O8uLio7e1tPX78+NSvZrMpy7LCLAEAAAAIRagjyp7nqV6v99zesizNzc2FWQIAAAAQilBHlBcXF/u+plwuh1kCAAAAEIpQg/Igo8PXrl0LswQAAAAgFKEG5Vgspu9973t9XfOd73wnzBIAAACAUIQalL/yla/olVde0d7eXs/XZLPZMEsAAAAAQhH6Psqvvvqq1tbWJEnJZFK2bSsWixnbNhqNU/daBgAAAKIQalB+6qmnOvZFLhQKYT49AAAAMDKhBmXbtuV5nhKJRE/7IzcaDb3++uthlgAAAACEItSgbFmWKpWKfvVXf7Xnay5fvhxmCQAAAEAoQt9H2bbtvq65evVqmCUAAAAAoQh1RPnVV1/t+5p+7uQHAAAAjEqoI8oAAADApIg0KO/u7mppaSnKEgAAAACjSINyvV6X7/tRlgAAAAAYhTpHud/RYdd1e9pGDgAAABi1UINyo9HoeYTYsizNzs6G+fIAAABAaEKdemHbtrLZrB4/ftz1a2dnR1tbW1peXpbrurpz506YJQAAAAChCDUox2IxpdPpE9vMzs4qlUrp1VdfVbFY1N7eXpglAAAAAKEINSgXi0V9/vOf77n9+vq61tfXB3493/eVzWblOE7XNul0WtlsVq7rtq+p1WpKp9PtY4fVajU5jqNSqaRCoaBCoTBwfQAAABhfoc5RHuQue61Wq+9rHMeR53laWlpSrVZTIpHo2tb3fVUqFZVKpfYxy7JULpcVj8c72lYqFW1ubqpcLreP1Wo1JZNJVavVvusEAADA+Ao1KA9id3e372vy+Xz7vzc3N09sG4/H5ThOe/TYtm2lUqlj7Xzf1+rqqm7dutVxPJFItEeYM5lM37UCAABgPEUelD3PG/prJBKJE0edJWlra0u2bRu3q1tZWVGxWCQoAwAAXCChBuV+FuZ5nqf19XXZth1mCQMrl8uKxWLGc7Zty3Vd+b7Pvs8AAAAXRKhB2bIsTU1N9dX+6FSHqNTrdS0vLxvPBWHe87xj85oBAAAwmUINyrZty/M84xzgw2KxmBYWFrS8vKyZmZkwSzDyPE+1Wq39uNFoaG1trWN0uJfRYoIyAADAxRH6iHKpVNKXvvSlMJ/2TDzPk+u6HfOLXdfVwsKCtre3e5pKEbRpNps9vebRKSjT09Oanp7uuWYAAACEY39/X/v7++3H/UwVDjUoLy4unps5x4HDW70F4vG44vG4VldXjefP6sqVKx2Pv/a1r+nrX/966K8D4OLY/3B/JIufz6PZ2Vl94hOfiLoMAGNqfX1dv/M7vzPQtaEG5VdffTXMpxuqZDKpbDbbU1vf9yWp62K/o27fvt0xpYTRZABnsfv+ff2d9z298nv/TJeeuxR1OSP34jMv6vf++b8kLAMYyNraml5++eX24729vWODmt0MfXu4vb09eZ6nZrMp27b12c9+dtgv2ZMg9LquG/q845mZmZHMvQZwMex/eKDW01P6B//Tp3T1yk9FXc5Ivbfzvtx//wPt7u4SlAEM5CxTYIcWlF9//XWtrq4eu030/Py88vm8fuVXfmVYL92WzWZlWVbHDUoCR+cdBwsRTQ63AYCozFnP65OftKIuAwAujKeG8aQvvfSS4vG4tre3NTs7q6tXr+rq1auanZ3VG2+8oVQqpV/7tV8bxkt32Nra6hp+g+OLi4uSnsxbDqZYdGvLjhcAAAAXR+hBeW1tTfV6XdVqVY8fP1az2dQbb7yhN954Q81mUzs7O/rGN76her2uL3/5y2G/fIdMJtN1sV61Wu24E18ymewaqhuNxql39gMAAMBkCTUov/baa6pWq6rX67p+/bqxzezsrDKZTDs8v/7662GW0GFpaenY1A/pyeK8SqXSMSVjeXlZzWbTGJYrlUrPC/8AAAAwGUINyqVSSTdu3Oi5/dbWltbX18/0mr7vd93fOJVKqVgsHgvL169fVyaT6bgximVZ2tjYkOM4HW0rlYps2z71JioAAACYLKEu5mu1Wpqdne25vWVZ2tnZ6ft1CoWCbt68Kc/z2l/JZFKWZWllZaUj1BaLRRUKBW1ubrZD9dramjH4plIpWZYlx3E0Pz/fnrNcrVb7rhEAAADjLdSgPDc31/c1g+wkkcvlhtY+kUgwHxkAAADhTr3otmvESQYZUQYAAACGLdSg3Gq19P3vf7/n9q+//vpAo9AAAADAsIU69SKXyymRSMh1Xb344osntr1165auX7+u7e3tMEsAAAAAQhHqiLJt21pfX9dnP/tZ/fZv/7Zef/117e3ttc/v7e3pO9/5jlZWVvS5z31Or7zyyrm5pTUAAABwWOi3sE6lUmo2m3rppZeMt46WnkzRyOfzWl1dDfvlAQAAgFAM5RbWmUxGzWZTX/rSlzQ7O6tWq9X++uIXv6hGo6GvfOUrw3hpAAAAIBShjygHLMtSsVhUsViUJO3u7va1xzIAAAAQpaGMKJsQkgEAADBOeh5R/upXv6rd3d2u5y3LMt6O+rXXXlOxWNTi4qISiQSL9wAAADAWeg7Ka2tryuVy2tjY0NTUlFqtlizLUiKRUDKZ1PLysvG6a9euKZ/Py/M8vfLKK9rZ2VE+nycwAwAA4FzreerF7OysisWitre31Wq15DiOms2mtra2tLq6euLUitnZWV27dk2vvvqq1tfXlclk9Od//uehfAMAAADAMPS1mG93d1df/epXtb29rWvXrg30grZt69vf/raWl5cVi8X0sz/7swM9DwAAADBMfS3my2QyyuVyA4fkw0qlkr70pS+d+XkAAACAYeg5KN+4cUNXr17V9evXQ3lhy7K0vLysb37zm6E8HwAAABCmnoNyqVTSSy+9FOqLp1Kp9j7LAAAAwHnSc1B2XTf0nSquXr0qz/NCfU4AAAAgDCO74QgAAAAwTnoOys1mcygFDOt5AQAAgLPoOShfvXpVr7/+eqgv/tprr+nq1auhPicAAAAQhp6DciKRCH3hXalUUjKZDPU5AQAAgDD0HJSXl5dVKpX0/e9/P5QXvnXrlkqlklZWVkJ5PgAAACBMPQfleDyuz3/+80qn06G88PLyshKJhH7u534ulOcDAAAAwtTXLayLxaI+97nP6ed//ud148YNvfjii32/4N7enj7/+c/rtddeU6PR6Pt6AAAAYBT62h7Otm1tbW2pXq/r6tWr+sM//MO+XuwP/uAPdPXqVb322mva2toKfV9mAAAAICx9jShLT+6m9+qrr+qll15SJpNRLpfT8vKyksmkbNuWZVmKxWJqNpvyfV+e56larWpra0u+76vVaqlYLOqLX/ziML4fAAAAIBR9B2VJymQyWlxcVDqdbi/KK5VKJ17TarVk27bK5bKuXbs2ULEAAADAqAx8Z754PK5Go6FXX31V165dU6vV6vp17do1FYtFvfHGG4RkAAAAjIWBRpQPy2QyymQy2t3dVb1el+d58n1flmXJtm0tLi5qdnY2jFoBAACAkTlzUA7Mzs7q+vXrun79elhPCQAAAERm4KkXAAAAwCQjKAMAAAAGBGUAAADAgKAMAAAAGBCUAQAAAAOCMgAAAGBAUAYAAAAMCMoAAACAAUEZAAAAMCAoAwAAAAYEZQAAAMCAoAwAAAAYEJQBAAAAA4IyAAAAYEBQBgAAAAwIygAAAIABQRkAAAAwICgDAAAABgRlAAAAwICgDAAAABgQlAEAAAADgjIAAABgQFAGAAAADAjKAAAAgAFBGQAAADAgKAMAAAAGBGUAAADAgKAMAAAAGBCUAQAAAIOPRl3AWfi+L8dxZFmW8vl813a1Wk3ValXz8/PyfV+SlMvlztwWAAAAk2ssg7LjOPI8T0tLS6rVakokEl3bVioVbW5uqlwut4/VajUlk0lVq9WB2wIAAGCyjeXUi3w+r3K5rFwuJ8uyurbzfV+rq6va2NjoOJ5IJNRsNlUqlQZqCwAAgMk3lkG5V1tbW7Jt2ximV1ZWVCwWB2oLAACAyTfRQblcLisWixnP2bYt13Xb85D7aQsAAIDJN9FBuV6vy7Zt47nguOd5fbcFAADA5JvooOz7/olzmKWfhN9+2gIAAGDyjeWuF2EIQnGz2Qy1rSTt7e11PJ6entb09HRf9QEAAODs9vf3tb+/3358NKedZKJHlKNy5coVzc7Otr/W19ejLgkAAOBCWl9f78hlV65c6fnaCzuiHCzM67aAb9C2knT79m3NzMy0HzOaDAAAEI21tTW9/PLL7cd7e3s9h+ULG5SHaWZmpiMoAwAAIBpnmQI70VMvbNvuugAvmG8c7GjRT1sAAABMvokOyvF4vOvex0EojsfjfbcFAADA5JvooJxMJruOEjcaDSUSiYHaAgAAYPJNdFBeXl5Ws9k0BuBKpaJsNjtQWwAAAEy+sQ/Kvu933d/YsixtbGzIcZyO45VKRbZtK5VKDdQWAAAAk28sd70oFAq6efOmPM9rfyWTSVmWpZWVlY5Qm0qlZFmWHMfR/Px8ex5ytVo99rz9tAUAAMBkG8ugnMvl+mqfSCR6nmPcT1sAAABMrrGfegEAAAAMA0EZAAAAMCAoAwAAAAYEZQAAAMCAoAwAAAAYEJQBAAAAA4IyAAAAYEBQBgAAAAwIygAAAIABQRkAAAAwICgDAAAABgRlAAAAwICgDAAAABgQlAEAAAADgjIAAABgQFAGAAAADAjKAAAAgAFBGQAAADAgKAMAAAAGBGUAAADAgKAMAAAAGBCUAQAAAAOCMgAAAGBAUAYAAAAMCMoAAACAAUEZAAAAMCAoAwAAAAYEZQAAAMCAoAwAAAAYEJQBAAAAA4IyAAAAYEBQBgAAAAwIygAAAIABQRkAAAAwICgDAAAABgRlAAAAwICgDAAAABgQlAEAAAADgjIAAABgQFAGAAAADAjKAAAAgAFBGQAAADAgKAMAAAAGBGUAAADAgKAMAAAAGBCUAQAAAAOCMgAAAGBAUAYAAAAMCMoAAACAAUEZAAAAMCAoAwAAAAYEZQAAAMCAoAwAAAAYEJQBAAAAA4IyAAAAYPDRqAvA2bz99tva3d2NuoyR8zxPBw8eRF0GAACYYATlMfb222/rN1/+su4+uBt1KSP3wfv3dOutt/SLH/5M1KUAAIAJdSGCcjqdViwWUzabVTwel+/7qtfrKhaLWltbUzwe72hfq9VUrVY1Pz8v3/clSblcLoLKT7a7u6u7D+4q/guf1sfmXoi6nJH628aP1PjWD3RwcBB1KQAAYEJdiKDs+74qlYpKpVL7mGVZKpfLx0JypVLR5uamyuVy+1itVlMymVS1Wh1Zzf342NwL+uQnrajLGKl33tuLugQAADDhLkRQjsfjchxHrutKkmzbViqVOtbO932trq7q1q1bHccTiYQcx1GpVFImkxlJzQAAAIjWhQjK0pOwm0gkTmyztbUl27ZlWdaxcysrKyoWiwRlAACAC4Lt4Q4pl8uKxWLGc7Zty3Xd9pxlAAAATDaC8iH1el22bRvPBcc9zxtlSQAAAIjIhZl64XmearVa+3Gj0dDa2lrHNAvf943TLo4+z9EFgAAAAJg8FyIoe54n13U75he7rquFhQVtb2+fGo4ltds0m81T2+7tde7IMD09renp6b5qBgAAwNnt7+9rf3+//fhoTjvJhZh6US6Xj+1yEY/HFY/Htbq6GvrrXblyRbOzs+2v9fX10F8DAAAAp1tfX+/IZVeuXOn52gsxotxNMplUNpvtqW2wiK/bYr/Dbt++rZmZmfZjRpMBAACisba2ppdffrn9eG9vr+ewfKGDchB6XdcNdd7xzMxMR1AGAABANM4yBXbip15ks1k5jmM8d3TesW3bXXe1ONwGAAAAk2/ig/LW1lbX8BscX1xclPRk3nK3fZKDtux4AQAAcDFMfFDOZDIql8vGc9VqteNOfMlksmuobjQap97ZDwAAAJNj4oPy0tKSXNc9dtz3fVUqFeXz+fax5eVlNZtNY1iuVCo9L/wDAADA+Jv4oJxKpVQsFo+F5evXryuTyXRsG2dZljY2No7Naa5UKrJt+9gWcwAAAJhcF2LXi2KxqEKhoM3NTfm+r2azqbW1NWPwTaVSsixLjuNofn6+PWe5Wq2OuGoAAABE6UIEZUnK5XI9t00kEsxHBgAAuOAmfuoFAAAAMAiCMgAAAGBAUAYAAAAMCMoAAACAAUEZAAAAMCAoAwAAAAYEZQAAAMCAoAwAAAAYXJgbjgAAgPHw5ptvqtlsRl3GyMViMX3mM5+JugwcQlAGAADnxptvvql/9Gsr8g8eRl3KyFlPf1R/+kebhOVzhKAMAADOjWazKf/goab/l3+oZ2Mfj7qckfmw+a78v/w3ajabBOVzhKAMAADOnWdjH9fzn7hYgXE/6gJwDIv5AAAAAAOCMgAAAGBAUAYAAAAMCMoAAACAAUEZAAAAMCAoAwAAAAZsDwcAONcePXqku3fvand3N+pSRuqZZ57RpUuXoi4DuNAIygCAc+vgwUO909zVn/yHv9BPvfHdqMsZqblnn9cvf+GXCMtAhAjKAIBz6+HDR9pXSw8uv6ipT1+gu7Tdu6+3fviuHjx4QFAGIkRQBgCcW/cfHMj3fdX/U01v/N1c1OWMzMGHD/Twh7tKXf+Hmp2djboc4MIiKAMAzq2HDx/rKT3S//D3n9FPX52JupyReefdPf1H733dv38/6lKAC42gDAA491649IysmYszBeH+B/tRlwBAbA8HAAAAGBGUAQAAAAOCMgAAAGBAUAYAAAAMCMoAAACAAUEZAAAAMCAoAwAAAAYEZQAAAMCAoAwAAAAYEJQBAAAAA4IyAAAAYEBQBgAAAAw+GnUBAAAAkB4+eKDvfve7UZcRiVgsps985jNRl3EMQRkAACBiD+7u6b333tH/9sq6nn5mOupyRs56+qP60z/aPHdhmaAMAAAQsYf79/T42af19P+c0Ozf+2zU5YzUh8135f/lv1Gz2SQoAwAAwOxp67Ke/8T5CoujsB91AV2wmA8AAAAwICgDAAAABgRlAAAAwICgDAAAABgQlAEAAAADgjIAAABgwPZwAACcQ48ePdLdu3e1u7sbdSkjdffuXbUeP466DEASQRkAgHPn4MFDvdPc1Z/8h7/QT71xsW5pfPvNN3X/wX3NPHwYdSkAQRkAgPPm4cNHOvjIU3r26qc0Z9tRlzNS70w91OOPTKnVehR1KQBBGQCA82r60iU9P/Ni1GWM1PSl6ahLANpYzAcAAAAYEJQBAAAAA4IyAAAAYEBQBgAAAAwIygAAAIABu14AAHAOPX70UO+9955emJ2JupSRunPnjlqtVtRlAJIIygAAnDsPDg7043fe1R/+6/9bz77wQtTljNT9nV29//77eviIfZQRPYIyAADnzAf39nVwcKAXPvpYTz97sWZJPnrmsZ56/EAPP/ww6lIAgvJJarWaqtWq5ufn5fu+JCmXy0VbFABg4h08eqSPPNXSf//ZS/rE378cdTkj9aM33tedv2mpxS2scQ4QlLuoVCra3NxUuVxuH6vVakomk6pWqxFWBgC4KJ6d/qiee+5i3aluevrpqEsA2i7W5zk98n1fq6ur2tjY6DieSCTUbDZVKpUiqgwAAACjQlA22Nrakm3bsizr2LmVlRUVi8XRFwWjhwePVPk//50OHvAR3Tg4ePCQ/hoT9NV4eXTwSDf/5KYeHbAA7rx7fHCgH3zrj/T44CDqUtADgrJBuVxWLBYznrNtW67rtucsI1qPHj7SN//1/6cD/nEYCwcH9Ne4oK/Gy6OHj7T9p3U9ekh/nXethwd664831XpIUB4HBGWDer0u27aN54LjnucNtYbf//3fD+25vv3/1Id6zWltTzrf77lBvpdhC7OmQZ+r1+t6aTdIf/V7PEpR9xfvrd5F3Vf9XDes99Yt93vG43/9F3/dU12jFGZND3fv9X3Nj7/z/4bW9qTz/Z7rp65RCbOmQZ+r1+t6yUMntTlrniIoG/i+b5x2cdg4BeXqH/f/D0Q/15zW9qTz/Z4b5HsZtjBrGvS5er2ul3aD9Fe/x6MUdX/x3updUFOr1dL9Dz/U+x+8P/DXv/3Wfx7qdb20O6nN0XP379+XWtKt179n/Nn81393/oJymDU93L3f9zU//vM/C63tSef7PddPXaMSZk2DPlev10UdlNn1ok9BgG42m8fOBXcS+uEPf6i9vb328enpaU1P97dq+dGjRx3PYfL+++9r/96Hatx6S3eaftd2H354oL/+r9/r6/X7uea0tied7/dccOzNN9/Vw4NHun37HUnSd//m+5p+9pme6g3bID/fszxX8L2/+f0f69HBw75q6KXdIP3V6/H9Dx9IGqy/TN/3IEbdX2e55uj/70e/92G8twJn6auwfPjhgbzGD3X/g/v6j3/1X/Td7/7dwM919/0P9K0/+cuhXddLu5PaHD334x+/r8ePHurRw4f60fd+eKz9wYODjuMH+08+xn/7zbf0dES7RhytaVD+O75arZY+eOv7uvPRj/R83aP9+7rzN6+F0vak8/2eO3rs8f6+JKn5d/9FTx3KBvfe+r5aDx/q3g9u6c7Bg56+j0H187Ma1nMdvu5g944eHTzQ+++/fyz79JKHTmrz6NEjvfvuu9r/bz93Sbp7964k9XQHyKkW94k8ZmpqSrlcTvl8/tg5z/M0Pz+vYrGoTCbTce4HP/iBrly5MqoyAQAAMKDbt2/r05/+9IltGFHuU7CIz7TY71Of+pQajYaefvppTU1NtY8PMqIMAACAs9vf3+8YUW61Wjo4ONCnPvWpU68lKIfoqaee6roIEKN3eL/rRqOhtbW1U+eeIzq+76tWq8lxHDUajajLwQkKhYKkJ+8rz/NULBb53XeOBb8Lfd/XzZs3lc1mlUgkIq4KpykUCorH4/RVxAjKBrZtd12sF8xN5h+F861SqaharbbvrOj7vq5fv67t7e2IK4OJ67qq1+uKxWJDXyiLs3Ecp+OPzkqlovn5eTUaDX4vnkPZbFbpdLodtoI7zO7s7DBwcI55nifHcbgT8DnArhcG8Xi86z7JwT/i8Xh8hBWhX+vr61pbW2s/tixLsVhMtVotwqrQTTweVyaT4X01Bmq1Wsdi5lQqJcuyuBHTOdVsNtsDBtJPBnnq9fO3ywl+olar8YfnOUFQNkgmk11HtRqNBh+DnHO+78t13WO/ZGzb7vgHA0B/fN+X53nHfj/GYjFuwnROlcvljj9iXNeVJC0uLkZVEk5RqVS0vLwcdRn4b5h6YbC8vCzHceR53rGwValUjLth4Ox835fjOLIs68Sfca1WU7Va1fz8fPsf51wu1z4f/CN+9GNFy7La/0jg7MLqLwxfWH1lWZZ2dnaOXed5nhYWFkKv+6Ia5nurWCwqn88z7SIkYfdVcI7+OT8IygaWZWljY0OO43SMQFYqFdm2rVQqFWF1kyf4o2RpaUm1Wu3EEftKpaLNzc2Ofgnm3AVzuUx7XAdOOofehN1fGJ5R9FWpVJJt28e2y0T/htlfpVJJ1WpVyWSSP1RDMKy+2tra4r103rTQVbVabeVyuVaxWGzl8/lWPp+PuqSJF4/HW5lMxnhuZ2enZVlWa2dnx3hdsVhstVpP+k3SsXa5XK4Vj8fDLvlCC6O/Dms0Gi1+LQ1H2H11+LpGoxFmqWgNr78ymUwrl8uFWeqFF1ZfbW9vd7yXbNtuVavV0OtFf5ijfIJEIqF8Pq9MJqNcLsdf4RHb2tqSbdvGj6RWVlba8/BMe1xLTz7S6nYO4eu1vxC9QftqdXVVN27cYNHRiA3aX8Giy0Kh0N7iD8PVT1/V63XeS+cQQRljo1wudw26tm3LdV35vt/+RXN0mkWz2WRXhRHqtb8QvUH6KtgmjvfU6PXTX9ls9tjiS9u2mfo0Ir32VaFQUKPRaP8RUygU1Gw223/YIDoEZYyNk/7aDo57nifLshSPx4/94+B5npLJ5NDrxBO99hei129fVSoVJZPJjpB8+AY/GK5e+8t1XZVKpWPvs2azyWKxEem1r3K5nPL5fPvT61wuJ9/3lc1m+TQ7YgRljA3f90/95R78g7C2ttaxcCIYXWFrv9Hpp78OX4PR66evarWabt68qVgsJtd15bquKpXKCKpEoNf+isfjyuVyHb/3arWafN9n96YRGeT3IM4Xdr3ARAh+EQXTLVKplJrNpkqlkmKxmG7evKkbN25EWCEOO9pfnue176YoSel0WktLS8pkMox8RexwX/m+r3Q63f6o+DA+yj8fjr631tbWOvrq5s2b2t7eZi7sOXC0rwK1Wq090JPP5+W6LqPKESIoY2Id3mKHLf3ON9u2WTA7Brrto4zzy7Is3ldjJpFIKJFIsOD5nGDqBSZC8JE9u1qMB/prfNBX44X+Gh/01XggKAMAAAAGBGWMDdu2uy56COZ4Me/u/KC/xgd9NV7or/FBX40/gjLGRjwe77orQvCLiD1dzw/6a3zQV+OF/hof9NX4IyhjbCSTya5/mTcaDbZ+O2for/FBX40X+mt80Ffjj6CMsbG8vKxms2n8pVOpVJTNZiOoCt3QX+ODvhov9Nf4oK/GH0EZ54rv+8f2lAxYlqWNjQ05jtNxvFKpyLZttoCLAP01Puir8UJ/jQ/6arJNtVqtVtRF4GIrFAq6efNm+5ar0pN9JC3L0srKyrFfJLVaTdVqVfPz8+25X+wTOjr01/igr8YL/TU+6KuLg6AMAAAAGDD1AgAAADAgKAMAAAAGBGUAAADAgKAMAAAAGBCUAQAAAAOCMgAAAGBAUAYAAAAMCMoAAACAAUEZAHCiQqGgqamp9tfCwkIkdTiO01FHMpmMpA4AFwdBGQBwqkQioUajoUajoXK5HEkNa2tr7Rq4/S+AUfho1AUAAM4/y7Jk23bHsWw2q3q9Lt/35XmeWq3W0GuwLEuSND8/L9d1h/p6AMCIMgBgINlsVtlsVp7nRV0KAAwFQRkAzhHXdZXNZqMuoyfxeFyZTEaJRCLqUgBgKAjKAHCOpNNplUqlsZpWEEyHAIBJQ1AGgHMimOsrPRmtBQBEi6AMAOdErVaTREgGgPOCoAwA50S1WpUk5vwCwDlBUAaAcyIYUeZGGgBwPhCUAeAcODw/mRFlADgfuOEIAETA8zwtLCzI9/1j56amptr/ncvllM/nR1jZ2RUKBd25c0e+76ter8u2bW1sbBh3x0in0/I8r/1zaDQa8n1fjuPIsix5nqeVlRWlUqnRfhMAIIIyAETCtm3t7Oy0H2ezWZVKpbEMxoEg4DqO03EXv2QyqatXr+rWrVvHwvLa2prq9bqy2axs25bv+1pdXVW5XJbv+5qbm1OlUhn6Xf8AwISpFwBwDkzC/GTHcZTP54/d6jqfz8v3fZVKpWPXBDctCXb6cBxH5XJZ0pP9mVOplHK53PCLBwADRpQBIGKDzk8Opi24rivLsrS4uNgxYuv7vprNZvvmJcViUZlMJtTaD7Msyzi9IgjB1Wq1a+iNxWJyXVfz8/Mdx4PQDABRICgDQMS2trYk9b+Ir1wuy3VdLSwsKJFIdA2VwXzoWCx25lpPctpoeLPZPPU5WMgI4Dxh6gUARCzYP3mQaRfBlI2VlZWubWzbViaTOTYlImxhPP+wawSAfhCUASBiQdgdZDS115uUXL58eeghNIwRa9PUDQCICkEZACJ0eGu0QW5dXavVZNv2sYAZzHkO3LlzhxAKAH0iKANAhCqViqTBRpODRXqma4vFYsfjtbW1AaoDgIuNoAwAEQqmTqTT6WPnTpuz3G1LuUqlosuXL3ccYzQZAPrHrhcAEKF6vS7p+KhwpVI5NSgHIbtYLGpzc7NjO7jt7e3hFAwAFwhBGQAiFMxPPrzQzvd9FYvFdhDuJrg99OF2wVZwg8x3BgB0YuoFAEQolUpJ+klg9jyvfQvnk7iuK9/3j41E27at5eXlodTaTbBw8OgCwsDh723Q5wCAKBCUASBC5XJZmUxG6XRa6XRa+XxeGxsbp84pPumW10ePlUqloQTQhYUFzc3NtRcVXr9+XfPz8+3agjvtXb16VdKTwDw3N9dx9735+XnNzc2161tYWND8/LxxzjYAjBpTLwAgYkd3qOjFSfsnB6PUge3t7aHcuvq0edDxeFyNRuPENqedB4AoMaIMAGMomJ982shzL4sCAQBmjCgDwJgJblJy2lxkz/PkOA6jtgAwIEaUAWDMBFM1ThopDkaSs9nsqMoCgInDiDIAjAnHceS6bnux3Pr6ujY3N9vng32UD98WexhzkwHgoiAoA8CYyOfzUZcAABcKUy8AAAAAA4IyAOBUlUpFU1NTmpqa0sLCQiQ1OI7TroG51wBGYarVarWiLgIAcH4Fc58PO3zL7YtWB4CLg6AMAAAAGDD1AgAAADAgKAMAAAAGBGUAAADAgKAMAAAAGBCUAQAAAAOCMgAAAGBAUAYAAAAMCMoAAACAAUEZAAAAMPj/AemDjdjDC/hHAAAAAElFTkSuQmCC", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "num_bins = 10\n", + "bin_counts_pbh, bin_edges_pbh = np.histogram(samples_pbh, bins=np.logspace(np.log10(s.cadence), np.log10(s.obs_time), num_bins))\n", + "bin_counts_ffp, bin_edges_ffp = np.histogram(samples_ffp, bins=np.logspace(np.log10(s.cadence), np.log10(s.obs_time), num_bins))\n", + "bin_counts_both, bin_edges_both = np.histogram(samples_both, bins=np.logspace(np.log10(s.cadence), np.log10(s.obs_time), num_bins))\n", + "\n", + "# Plotting the histogram\n", + "plt.bar(bin_edges_pbh[:-1], bin_counts_pbh, width=np.diff(bin_edges_pbh), align=\"edge\", edgecolor=\"black\", label=\"PBH\", alpha=0.7)\n", + "plt.bar(bin_edges_ffp[:-1], bin_counts_ffp, width=np.diff(bin_edges_ffp), align=\"edge\", edgecolor=\"black\", label=\"FFP\", alpha=0.5)\n", + "plt.bar(bin_edges_both[:-1], bin_counts_both, width=np.diff(bin_edges_both), align=\"edge\", edgecolor=\"black\", label=\"Both\", alpha=0.3)\n", + "\n", + "plt.xscale('log')\n", + "plt.xlabel(\"$t_E$ [hr]\")\n", + "plt.ylabel(\"Count\")\n", + "plt.title(r\"$M_{\\rm{PBH}} = $\" + scientific_format_less(s.pbh.mass) + r\"$M_\\odot$, p = {}\".format(s.ffp.p))\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Old Mass Comparison" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [], + "source": [ + "ms = np.logspace(-9, -3, 30)" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + " 0%| | 0/30 [00:00" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(ms, diff_rates_ffp_mw_point, label=\"Point\")\n", + "plt.xscale(\"log\")\n", + "plt.yscale(\"log\")\n", + "plt.xlabel(r\"Mass [$M_\\odot$]\")\n", + "plt.plot(ms_limited, 1e-15*ms_limited**(-1.15), label=r\"$M^{-1.15}$\", ls=\"--\")\n", + "plt.legend()\n", + "plt.show()\n" + ] + }, + { + "cell_type": "code", + "execution_count": 120, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(ms_limited, gamma_of_ms_point, label=\"Point\")\n", + "plt.plot(ms_limited, gamma_of_ms_finite, label=\"Finite\")\n", + "\n", + "# plt.ylim(1e-24, 1e-21)\n", + "plt.xscale(\"log\")\n", + "plt.yscale(\"log\")\n", + "plt.xlabel(r\"Mass [$M_\\odot$]\")\n", + "plt.ylabel(r\"$\\Gamma(M)$ [events/star/hr]\")\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 99, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "num_samples_ffp = 10000\n", + "bins_m = np.logspace(-9,-3,20)\n", + "samples_ffp_point_m = sample_crossing_times(ms_limited, gamma_of_ms_point, num_samples_ffp)\n", + "bin_counts_ffp_point_m, bin_edges_ffp_point_m = np.histogram(samples_ffp_point_m, bins=bins_m, density=False)\n", + "plt.bar(bin_edges_ffp_point_m[:-1], bin_counts_ffp_point_m/np.sum(bin_counts_ffp_point_m), width=np.diff(bin_edges_ffp_point_m), align=\"edge\", edgecolor=\"black\", label=r\"LensCalcPy Point\", alpha=0.5, color='blue')\n", + "\n", + "bin_counts_popsycle_m, bin_edges_popsycle_m = np.histogram(nick_ffp_masses, bins=bins_m, density=False)\n", + "plt.bar(bin_edges_popsycle_m[:-1], bin_counts_popsycle_m/np.sum(bin_counts_popsycle_m), width=np.diff(bin_edges_popsycle_m), align=\"edge\", edgecolor=\"black\", label=r\"Popsycle\", alpha=0.5,color='orange')\n", + "\n", + "plt.xscale('log')\n", + "plt.yscale('log')\n", + "plt.xlabel(r\"$M$ [M$_\\odot$]\")\n", + "plt.ylabel(\"Normalized Counts\")\n", + "\n", + "plt.ylim(1e-3, 5e-1)\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "metadata": {}, + "outputs": [], + "source": [ + "pre_event_masses_ffps = pd.read_csv('popsycle_data/ffp_mass_1x.csv', header=None).values.flatten()\n", + "pre_event_masses_ffps_flat = pd.read_csv('popsycle_data/mass_p_0_20x.csv', header=None).values.flatten()\n" + ] + }, + { + "cell_type": "code", + "execution_count": 59, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "bins_m = np.logspace(-9,-3,20)\n", + "\n", + "bin_counts_popsycle_m_pre, bin_edges_popsycle_m_pre = np.histogram(pre_event_masses_ffps_flat, bins=bins_m, density=False)\n", + "plt.bar(bin_edges_popsycle_m_pre[:-1], bin_counts_popsycle_m_pre/np.sum(bin_counts_popsycle_m_pre), width=np.diff(bin_edges_popsycle_m_pre), align=\"edge\", edgecolor=\"black\", label=r\"pre-cut\", alpha=0.5,color='gray')\n", + "\n", + "plt.ylim(1e-2, 1e-1)\n", + "\n", + "plt.xscale('log')\n", + "plt.yscale('log')\n", + "plt.xlabel(r\"$M$ [M$_\\odot$]\")\n", + "plt.ylabel(\"Normalized Counts\")\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 104, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "bin_counts_popsycle_m, bin_edges_popsycle_m = np.histogram(nick_ffp_masses, bins=bins_m, density=False)\n", + "plt.bar(bin_edges_popsycle_m[:-1], bin_counts_popsycle_m/np.sum(bin_counts_popsycle_m), width=np.diff(bin_edges_popsycle_m), align=\"edge\", edgecolor=\"black\", label=r\"post-cut\", alpha=0.5,color='orange')\n", + "\n", + "bin_counts_popsycle_m_pre, bin_edges_popsycle_m_pre = np.histogram(pre_event_masses_ffps, bins=bins_m, density=False)\n", + "plt.bar(bin_edges_popsycle_m_pre[:-1], bin_counts_popsycle_m_pre/np.sum(bin_counts_popsycle_m_pre), width=np.diff(bin_edges_popsycle_m_pre), align=\"edge\", edgecolor=\"black\", label=r\"pre-cut\", alpha=0.5,color='gray')\n", + "\n", + "plt.ylim(1e-5, 5e-1)\n", + "\n", + "plt.xscale('log')\n", + "plt.yscale('log')\n", + "plt.xlabel(r\"$M$ [M$_\\odot$]\")\n", + "plt.ylabel(\"Normalized Counts\")\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Scratchwork" + ] + }, + { + "cell_type": "code", + "execution_count": 213, + "metadata": {}, + "outputs": [], + "source": [ + "def calc_sph_motion(vx, vy, vz, r, b, l):\n", + " \"\"\"\n", + " Calculate velocities in the r directions and proper motions\n", + " in l, b directions.\n", + "\n", + " Parameters\n", + " ----------\n", + " vx, vy, vz : float or array\n", + " Heliocentric velocities vx, vy, and vz (in km/s)\n", + "\n", + " r, b, l : float or array\n", + " Galactic coordinates r, b, and l (in kpc and degrees)\n", + "\n", + " Return\n", + " ------\n", + " vr, mu_b, mu_lcosb : float or array (in km/s and mas/yr)\n", + " Radial velocity and proper motions\n", + "\n", + " \"\"\"\n", + " b = np.radians(b)\n", + " l = np.radians(l)\n", + "\n", + " cosb = np.cos(b)\n", + " sinb = np.sin(b)\n", + " cosl = np.cos(l)\n", + " sinl = np.sin(l)\n", + "\n", + " vr = vz * sinb + cosb * (vx * cosl + vy * sinl)\n", + " vb = vz * cosb - sinb * (vx * cosl + vy * sinl)\n", + " vl = vy * cosl - vx * sinl\n", + "\n", + " mu_b = vb / r\n", + " mu_lcosb = vl / r\n", + "\n", + " ##########\n", + " # Convert between radians*(km/s)/kpc into mas/year.\n", + " # 1 kpc = 3.086 * 10^16 km, 1 year = 3.154 * 10^7 s, 2.063 * 10^8 mas = 1 rad\n", + " # 1 radian*(km/s)/kpc = 0.2108 mas/yr\n", + " #########\n", + " conversion_fact = 0.2108\n", + " mu_b = mu_b * conversion_fact\n", + " mu_lcosb = mu_lcosb * conversion_fact\n", + "\n", + " return vr, mu_b, mu_lcosb\n", + "\n", + "# Function to convert spherical velocities to Cartesian velocities\n", + "def sph_to_cartesian(v_sph, pos):\n", + " r_dot, b_dot, l_dot = v_sph\n", + " r, b, l = pos\n", + " l = np.radians(l)\n", + " b = np.radians(b)\n", + " vx = r_dot*np.cos(b)*np.cos(l) - r*b_dot*np.sin(b)*np.cos(l) - r*l_dot*np.cos(b)*np.sin(l)\n", + " vy = r_dot*np.cos(b)*np.sin(l) - r*b_dot*np.sin(b)*np.sin(l) + r*l_dot*np.cos(b)*np.cos(l)\n", + " vz = r_dot*np.sin(b) + r*b_dot*np.cos(b)\n", + " return [vx, vy, vz]" + ] + }, + { + "cell_type": "code", + "execution_count": 214, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Einstein time: 0.011923784044031301\n", + "Full transit time: 0.054253265261650085\n" + ] + } + ], + "source": [ + "starPos1 = [7.78257417678833, -0.018601227301875935, 0.016396739533508602]\n", + "starPos2 = [7.782573762098301, -0.018601124163779216, 0.016396434296014145]\n", + "pbhPos1 = [7.276314604254684, -0.018601284224945756, 0.01639681167636597]\n", + "pbhPos2 = [7.276313346359349, -0.018601393966005075, 0.01639677623181188]\n", + "\n", + "pbhMass = 3e-6\n", + "duration = 1825 * 24 * 3600 #in seconds\n", + "theta_E = 2.26363e-12 #in radians\n", + "full_transit_time = (0.23261582851409912 - 0.2325861006975174) *duration\n", + "kpc_to_km = 3.086e16 # kpc to km\n", + "mas_to_rad = 4.84814e-9 # mas to rad\n", + "day_to_s = 86400 # day to seconds\n", + "year_to_s = 31536000 # year to seconds\n", + "\n", + "starPos1[0] *= kpc_to_km\n", + "pbhPos1[0] *= kpc_to_km\n", + "starPos2[0] *= kpc_to_km\n", + "pbhPos2[0] *= kpc_to_km\n", + "\n", + "v_star_sph = [(starPos2[i] - starPos1[i])/duration for i in range(3)]\n", + "v_pbh_sph = [(pbhPos2[i] - pbhPos1[i])/duration for i in range(3)]\n", + "\n", + "# Convert the spherical velocities to Cartesian velocities\n", + "v_star = sph_to_cartesian(v_star_sph, starPos1)\n", + "v_pbh = sph_to_cartesian(v_pbh_sph, pbhPos1)\n", + "\n", + "starPos1[0] /= kpc_to_km \n", + "pbhPos1[0] /= kpc_to_km \n", + "starPos2[0] /= kpc_to_km \n", + "pbhPos2[0] /= kpc_to_km \n", + "\n", + "# # Calculate the radial velocity and proper motions using the function\n", + "vr_star, mu_b_star, mu_lcosb_star = calc_sph_motion(v_star[0], v_star[1], v_star[2], starPos1[0], np.degrees(starPos1[1]), np.degrees(starPos1[2]))\n", + "vr_pbh, mu_b_pbh, mu_lcosb_pbh = calc_sph_motion(v_pbh[0], v_pbh[1], v_pbh[2], pbhPos1[0], np.degrees(pbhPos1[1]), np.degrees(pbhPos1[2]))\n", + "\n", + "mu_b_star *= mas_to_rad / year_to_s\n", + "mu_b_pbh *= mas_to_rad / year_to_s\n", + "mu_lcosb_star *= mas_to_rad / year_to_s\n", + "mu_lcosb_pbh *= mas_to_rad / year_to_s\n", + "\n", + "# Calculate the relative proper motions\n", + "mu_b_rel = mu_b_star - mu_b_pbh\n", + "mu_lcosb_rel = mu_lcosb_star - mu_lcosb_pbh\n", + "\n", + "# Calculate the total relative proper motion and the Einstein time\n", + "v_rel = np.sqrt(mu_b_rel**2 + mu_lcosb_rel**2)\n", + "t_E = theta_E / v_rel\n", + "\n", + "print(\"Einstein time:\", t_E / day_to_s)\n", + "print(\"Full transit time:\", full_transit_time / day_to_s)" + ] + }, + { + "cell_type": "code", + "execution_count": 215, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "2.279924455200288e-12" + ] + }, + "execution_count": 215, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "einstein_rad(7.276, 3e-6, 7.78257)/7.276" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "base", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.7" + }, + "orig_nbformat": 4 + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/examples/roman_sensitivity.csv b/examples/roman_sensitivity.csv new file mode 100644 index 0000000..d3a3476 --- /dev/null +++ b/examples/roman_sensitivity.csv @@ -0,0 +1,31 @@ +0.004900124210273511, 0.005069462607762225 +0.005272733745557133, 0.006626647443541989 +0.005572800808472854, 0.008931037265848707 +0.005945510295490656, 0.013194223035864145 +0.0065163498191442215, 0.018761773112677474 +0.007205914847041119, 0.02587505784977369 +0.007899663811347215, 0.03911556738519395 +0.008975489162928604, 0.053948158746407994 +0.010198438976948538, 0.07555238541846168 +0.011482476570910305, 0.10261813031276978 +0.013044666228264919, 0.13726568037579984 +0.015226327169638475, 0.18361974474019227 +0.018592562795955496, 0.2419161161109079 +0.022090284907719096, 0.29750218083962365 +0.028725413601634733, 0.3631268546822374 +0.03734677392016362, 0.4233435014299442 +0.04943459367747255, 0.47868666851688657 +0.06723162798011886, 0.5412891356357002 +0.08978047486433845, 0.5801473250994783 +0.12097586449799803, 0.6170658491386216 +0.16748168607964933, 0.6513613586175347 +0.22977421538363768, 0.6823130460681203 +0.32388214969018136, 0.7093206797814249 +0.48192143396339104, 0.726266633562624 +0.7170334473802102, 0.7323269235655184 +1.1061525392251546, 0.7498674954060995 +1.6757968940502637, 0.7561474050286239 +2.538719466583144, 0.7566693154644248 +4.097182050673871, 0.7689461750124227 +6.207141159470959, 0.7753858627082453 +8.988288074636637, 0.7758628613372259 diff --git a/examples/t_e_samples.ipynb b/examples/t_e_samples.ipynb new file mode 100644 index 0000000..2ee9c50 --- /dev/null +++ b/examples/t_e_samples.ipynb @@ -0,0 +1,620 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "import pandas as pd\n", + "from scipy.interpolate import interp1d\n", + "\n", + "from tqdm import tqdm\n", + "import seaborn as sns\n", + "import pickle\n", + "from scipy import stats\n", + "sns.set_palette(\"colorblind\")\n", + "\n", + "%load_ext autoreload\n", + "%autoreload 2" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "gamma_func_ffp_point = pickle.load(open(\"interps/gamma_func_ffp_point.p\", \"rb\"))\n", + "gamma_func_pbh_point = pickle.load(open(\"interps/gamma_func_pbh_point.p\", \"rb\"))\n", + "gamma_func_ffp = pickle.load(open(\"interps/gamma_func_ffp_finite.p\", \"rb\"))\n", + "gamma_func_pbh = pickle.load(open(\"interps/gamma_func_pbh_finite.p\", \"rb\"))\n", + "\n", + "gamma_func_pbh_sigma = pickle.load(open(\"interps/gamma_func_pbh_finite_sigma.p\", \"rb\"))" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [], + "source": [ + "roman_df = pd.read_csv('roman_sensitivity.csv', header=None, names=['t_e [days]', 'efficiency'])\n", + "roman_efficiency_interp = interp1d(roman_df['t_e [days]'], roman_df['efficiency'])\n", + "def roman_efficiency(t):\n", + " '''\n", + " Takes in crossing time in hours and returns the efficiency of Roman\n", + " '''\n", + " t_day = t/24\n", + " if t_day <= np.min(roman_df['t_e [days]']):\n", + " return roman_df['efficiency'][0]\n", + " if t_day >= np.max(roman_df['t_e [days]']):\n", + " return roman_df['efficiency'][len(roman_df)-1]\n", + " return(roman_efficiency_interp(t_day))" + ] + }, + { + "cell_type": "code", + "execution_count": 63, + "metadata": {}, + "outputs": [], + "source": [ + "def sample_crossing_times(t_es, gammas, n_samples, tmin=0, tmax=np.inf):\n", + " norm_gammas = gammas/np.sum(gammas)\n", + " cdf = np.cumsum(norm_gammas)\n", + " \n", + " samples = []\n", + " iterations = 0\n", + " while len(samples) < n_samples:\n", + " iterations += 1\n", + " r = np.random.rand()\n", + " t_e_sample = np.interp(r, cdf, t_es)\n", + " if t_e_sample > tmin and t_e_sample < tmax:\n", + " samples.append(t_e_sample) \n", + " if iterations > 100*n_samples:\n", + " raise ValueError(\"Could not sample enough crossing times in 100*n_samples iterations.\")\n", + " return np.array(samples)\n", + "\n", + "def sample_t_ffp(p, t_es, gamma_func, n_samples=1000):\n", + " pmin = min(gamma_func.grid[0])\n", + " pmax = max(gamma_func.grid[0])\n", + " tmin = min(gamma_func.grid[1])\n", + " tmax = max(gamma_func.grid[1])\n", + " if p < pmin or p > pmax:\n", + " raise ValueError(f\"p = {p} is outside of the range of p values in the interpolating function: {pmin} to {pmax}\")\n", + " if min(t_es) < tmin:\n", + " raise ValueError(f\"t_e = {min(t_es)} is outside of the range of t values in the interpolating function: {tmin} to {tmax}\")\n", + " if max(t_es) > tmax:\n", + " raise ValueError(f\"t_e = {max(t_es)} is outside of the range of t values in the interpolating function: {tmin} to {tmax}\")\n", + " \n", + " gammas = np.array([gamma_func([[p, t]]) * roman_efficiency(t) for t in t_es])\n", + "\n", + " samples = sample_crossing_times(t_es, gammas, n_samples, tmin=0.25, tmax=43800)\n", + " return samples\n", + "\n", + "def sample_t_pbh(m, t_es, gamma_func, n_samples=1000):\n", + " mmin = min(gamma_func.grid[0])\n", + " mmax = max(gamma_func.grid[0])\n", + " tmin = min(gamma_func.grid[1])\n", + " tmax = max(gamma_func.grid[1])\n", + " if m < mmin or m > mmax:\n", + " print(f\"m = {m} is outside of the range of m values in the interpolating function: {mmin} to {mmax}\")\n", + " if min(t_es) < tmin:\n", + " raise ValueError(f\"t_e = {min(t_es)} is outside of the range of t values in the interpolating function: {tmin} to {tmax}\")\n", + " if max(t_es) > tmax:\n", + " raise ValueError(f\"t_e = {max(t_es)} is outside of the range of t values in the interpolating function: {tmin} to {tmax}\")\n", + " \n", + " gammas = np.array([gamma_func([[m, t]]) * roman_efficiency(t) for t in t_es])\n", + "\n", + " samples = sample_crossing_times(t_es, gammas, n_samples, tmin=0.25, tmax=43800)\n", + " return samples\n", + "\n", + "def sample_t_pbh_sigma(m, t_es, gamma_func, sigma, n_samples=1000):\n", + " mmin = 10**min(gamma_func.grid[0])\n", + " mmax = 10**max(gamma_func.grid[0])\n", + " sigma_min = 10**min(gamma_func.grid[1])\n", + " sigma_max = 10**max(gamma_func.grid[1])\n", + " tmin = 10**min(gamma_func.grid[2])\n", + " tmax = 10**max(gamma_func.grid[2])\n", + " if m < mmin or m > mmax:\n", + " print(f\"m = {m} is outside of the range of m values in the interpolating function: {mmin} to {mmax}\")\n", + " if min(t_es) < tmin:\n", + " raise ValueError(f\"t_e = {min(t_es)} is outside of the range of t values in the interpolating function: {tmin} to {tmax}\")\n", + " if max(t_es) > tmax:\n", + " raise ValueError(f\"t_e = {max(t_es)} is outside of the range of t values in the interpolating function: {tmin} to {tmax}\")\n", + " if sigma < sigma_min or sigma > sigma_max:\n", + " print(f\"sigma = {sigma} is outside of the range of sigma values in the interpolating function: {sigma_min} to {sigma_max}\")\n", + " \n", + " gammas = np.array([10**(gamma_func([[np.log10(m), np.log10(sigma), np.log10(t)]])) * roman_efficiency(t) for t in t_es])\n", + "\n", + " samples = sample_crossing_times(t_es, gammas, n_samples, tmin=0.25, tmax=43800)\n", + " return samples\n", + " " + ] + }, + { + "cell_type": "code", + "execution_count": 64, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0.012589254117941675\n", + "50118.72336272725\n" + ] + } + ], + "source": [ + "print(np.min(gamma_func_ffp.grid[1]))\n", + "print(np.max(gamma_func_ffp.grid[1]))" + ] + }, + { + "cell_type": "code", + "execution_count": 87, + "metadata": {}, + "outputs": [], + "source": [ + "p_arr = np.linspace(0.66, 1.33, 4)\n", + "# m_arr = np.logspace(-10, 1, 8)\n", + "\n", + "# p_arr = [0.66]\n", + "m_arr = [1e-7]" + ] + }, + { + "cell_type": "code", + "execution_count": 66, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# ts_sample = np.logspace(-1.5, 4.4, 100)\n", + "# bins = np.logspace(-1.5, 4.4, 20)\n", + "to_min = np.min(gamma_func_ffp.grid[1])\n", + "to_max = np.max(gamma_func_ffp.grid[1])\n", + "ts_sample = np.logspace(np.log10(to_min), np.log10(to_max), 100)\n", + "bins = np.logspace(np.log10(to_min), np.log10(to_max), 25)\n", + "colors = sns.color_palette(\"colorblind\", len(p_arr))\n", + "for i, p in enumerate(p_arr):\n", + " sampled_t_es = sample_t_ffp(p, ts_sample, gamma_func_ffp, n_samples=1000)\n", + "\n", + " bin_counts, bin_edges = np.histogram(sampled_t_es, bins=bins)\n", + " color = colors[i]\n", + " bars = plt.bar(bin_edges[:-1], bin_counts/np.sum(bin_counts), width=np.diff(bin_edges), align=\"edge\", edgecolor=\"black\", label=f' LCP, Finite, p = {round(p,2)}', alpha=0.5, color=color)\n", + " plt.axvline(np.median(sampled_t_es), linestyle=\"--\", alpha=0.5, color=color)\n", + "plt.xscale(\"log\")\n", + "\n", + "plt.xlabel(r'$t$ [hours]')\n", + "plt.ylabel(r'Normalized Counts')\n", + "\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 96, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# ts_sample = np.logspace(-1.5, 4.5, 100)\n", + "# bins = np.logspace(-1.5, 4.5, 24)\n", + "to_min = np.min(gamma_func_pbh.grid[1])\n", + "to_max = np.max(gamma_func_pbh.grid[1])\n", + "ts_sample = np.logspace(np.log10(to_min), np.log10(to_max), 100)\n", + "# bins = np.logspace(np.log10(to_min), np.log10(to_max), 25)\n", + "bins = np.logspace(np.log10(1e-1), np.log10(1e2), 32)\n", + "\n", + "colors = sns.color_palette(\"colorblind\", len(m_arr))\n", + "for i, m in enumerate(m_arr):\n", + " # sampled_t_es = sample_t_pbh(m, ts_sample, gamma_func_pbh, n_samples=1000)\n", + " sampled_t_es_sigma = sample_t_pbh_sigma(m, ts_sample, gamma_func_pbh_sigma, 0.1, n_samples=10000)\n", + " sampled_t_es_sigma_wide = sample_t_pbh_sigma(m, ts_sample, gamma_func_pbh_sigma, 1.5, n_samples=10000)\n", + " \n", + " bin_counts, bin_edges = np.histogram(sampled_t_es_sigma, bins=bins)\n", + " bars = plt.bar(bin_edges[:-1], bin_counts/np.sum(bin_counts), width=np.diff(bin_edges), align=\"edge\", edgecolor=\"black\", label=f' LCP, Finite, m={m:.1e}, $\\sigma=0.1$', alpha=0.5, color='blue')\n", + " plt.axvline(np.median(sampled_t_es_sigma), linestyle=\"--\", alpha=0.5, color='blue')\n", + "\n", + " bin_counts, bin_edges = np.histogram(sampled_t_es_sigma_wide, bins=bins)\n", + " bars = plt.bar(bin_edges[:-1], bin_counts/np.sum(bin_counts), width=np.diff(bin_edges), align=\"edge\", edgecolor=\"black\", label=f' LCP, Finite, m={m:.1e}, $\\sigma=1.5$', alpha=0.5, color='orange')\n", + " plt.axvline(np.median(sampled_t_es_sigma_wide), linestyle=\"--\", alpha=0.5, color='orange')\n", + "plt.xscale(\"log\")\n", + "\n", + "plt.xlabel(r'$t$ [hours]')\n", + "plt.ylabel(r'Normalized Counts')\n", + "\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Stats" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "def my_cdf(sample, x):\n", + " # Counts how many observations are below or equal to x and normalize\n", + " return np.sum(sample <= x) / len(sample)" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "def ks_2samp(sample1, sample2):\n", + " # Gets all unique observations\n", + " observations = np.unique(np.concatenate((sample1, sample2)))\n", + " \n", + " # Computes the CDF for both samples at each observation\n", + " cdf_sample1 = np.array([my_cdf(sample1, x) for x in observations])\n", + " cdf_sample2 = np.array([my_cdf(sample2, x) for x in observations])\n", + "\n", + " # Computes the KS statistic\n", + " D_ks = np.max(np.abs(cdf_sample1 - cdf_sample2))\n", + "\n", + " # Calculates the P-Value based on the two-sided test\n", + " m, n = float(len(sample1)), float(len(sample2))\n", + " #Should this just be m or n if they're the same length?\n", + " en = m * n / (m + n)\n", + " p_value = stats.kstwo.sf(D_ks, np.round(en))\n", + "# print(D_ks, np.sqrt((m + n)/(m * n))*1.36)\n", + " # p_value = stats.kstwo.sf(D_ks, np.round(np.sqrt(en)))\n", + "\n", + " return {\"ks_stat\": D_ks, \"p_value\" : p_value}" + ] + }, + { + "cell_type": "code", + "execution_count": 77, + "metadata": {}, + "outputs": [], + "source": [ + "def run_scan(p_values, m_values, t_es, n_samples=1000):\n", + " results = []\n", + "\n", + " for p in p_values:\n", + " for m in m_values:\n", + " # Generate samples for the current p and m values\n", + " samples_ffp = sample_t_ffp(p, t_es, gamma_func_ffp, n_samples)\n", + " samples_pbh = sample_t_pbh(m, t_es, gamma_func_pbh, 250)\n", + " samples_both = np.concatenate((samples_pbh, samples_ffp))\n", + " ks_result = ks_2samp(samples_ffp, samples_both)\n", + "\n", + " # Store the results\n", + " results.append({\n", + " \"p\": p,\n", + " \"m\": m,\n", + " \"ks_stat\": ks_result[\"ks_stat\"],\n", + " \"p_value\": ks_result[\"p_value\"]\n", + " })\n", + "\n", + " return results" + ] + }, + { + "cell_type": "code", + "execution_count": 78, + "metadata": {}, + "outputs": [], + "source": [ + "# Define the range of p and m values to scan\n", + "p_values = np.linspace(0.66, 1.33, 15) # replace with actual values\n", + "m_values = np.logspace(-12, 1, 15) # replace with actual values\n", + "t_es = np.logspace(-2.9, 2.3, 100)\n", + "\n", + "# Run the scan\n", + "results = run_scan(p_values, m_values, t_es)" + ] + }, + { + "cell_type": "code", + "execution_count": 80, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Convert the list of dictionaries to a list of tuples\n", + "results_list_of_tuples = [(d['p'], d['m'], d['ks_stat'], d['p_value']) for d in results]\n", + "\n", + "# Convert the list of tuples to a structured numpy array\n", + "results_np = np.array(results_list_of_tuples, dtype=[('p', 'f8'), ('m', 'f8'), ('ks_stat', 'f8'), ('p_value', 'f8')])\n", + "\n", + "# Get unique p and m values\n", + "p_values_unique = np.unique(results_np['p'])\n", + "m_values_unique = np.unique(results_np['m'])\n", + "\n", + "# Create grids for p and m values\n", + "p_grid, m_grid = np.meshgrid(p_values_unique, m_values_unique)\n", + "\n", + "# Create grids for the ks_stat and p_value values\n", + "ks_stat_grid = np.array([results_np['ks_stat'][(results_np['p'] == p) & (results_np['m'] == m)][0] for p in p_values_unique for m in m_values_unique]).reshape(len(p_values_unique), len(m_values_unique))\n", + "p_value_grid = np.array([results_np['p_value'][(results_np['p'] == p) & (results_np['m'] == m)][0] for p in p_values_unique for m in m_values_unique]).reshape(len(p_values_unique), len(m_values_unique))\n", + "\n", + "# Create the exclusion plot\n", + "plt.figure()\n", + "cp = plt.contourf(p_grid, m_grid, p_value_grid.T, levels=np.linspace(0, 1, 101), cmap='RdBu_r')\n", + "plt.contour(p_grid, m_grid, p_value_grid.T, levels=[0.05], colors='red')\n", + "\n", + "\n", + "plt.colorbar(cp, label='KS Test p-value')\n", + "plt.xscale('linear')\n", + "plt.yscale('log')\n", + "plt.xlabel(r'$p$')\n", + "plt.ylabel(r'$M_{\\rm{PBH}}$')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 137, + "metadata": {}, + "outputs": [], + "source": [ + "def run_scan(p_values, m_values, n_pbh_values, t_es, n_samples=1000):\n", + " results = []\n", + "\n", + " for p in p_values:\n", + " for m in m_values:\n", + " for n_pbh in n_pbh_values:\n", + " # Calculate the number of PBH samples based on f_pbh\n", + " n_samples_pbh = int(n_pbh)\n", + " n_samples_ffp = n_samples \n", + "\n", + " # Generate samples for the current p, m, and f_pbh values\n", + " samples_ffp = sample_t_ffp(p, t_es, gamma_func_ffp, n_samples_ffp)\n", + " samples_pbh = sample_t_pbh(m, t_es, gamma_func_pbh, n_samples_pbh)\n", + " samples_both = np.concatenate((samples_pbh, samples_ffp))\n", + " ks_result = ks_2samp(samples_ffp, samples_both)\n", + "\n", + " # Store the results\n", + " results.append({\n", + " \"p\": p,\n", + " \"m\": m,\n", + " \"n_pbh\": n_pbh,\n", + " \"ks_stat\": ks_result[\"ks_stat\"],\n", + " \"p_value\": ks_result[\"p_value\"]\n", + " })\n", + "\n", + " return results\n" + ] + }, + { + "cell_type": "code", + "execution_count": 138, + "metadata": {}, + "outputs": [], + "source": [ + "p_values = np.linspace(0.66, 1.33, 3) # replace with actual values\n", + "m_values = np.logspace(-10, 1, 5) # replace with actual values\n", + "n_pbh_values = np.logspace(0, 3, 10)\n", + "results = run_scan(p_values, m_values, n_pbh_values, t_es)" + ] + }, + { + "cell_type": "code", + "execution_count": 140, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_43953/1153005848.py:19: UserWarning: The following kwargs were not used by contour: 'label'\n", + " plt.contour(m_grid, f_pbh_grid, p_value_grid.T, levels=[0.05], label=f'p = {round(p,2)}')\n", + "No artists with labels found to put in legend. Note that artists whose label start with an underscore are ignored when legend() is called with no argument.\n" + ] + }, + { + "data": { + "image/png": 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7u3mn5sTvxTtvYadTM9B+CDpuIuh0Xvu3F+rBWU/qwO4i2XytCg4PUunRcgWGBCjh0mHK/iBfknTL0nlK/+01ni32IhiGocJdh5T1drY2rMrRzg27XUYlDuseqpCIYB0tPO68TCdJ4T3CdOkPUpU2e7xGXTZCNt8uO2Wdx5WVlCvvo63KWdMYfI4dLHHZ3j02yhl6Rl9Bp2agLRF03ETQ6ZzWrvxcT89/QTVVtQrvEaraqsYB52L6RStueF9lf5AvHx+Lfrd8ga765eWeLrdNnDhyUl++t0kbVuUo98PNLuEmINhf4T3CdLK41DlBqNTYX2TCD1I1edZ4jf5+ovz8O64DNlwZhqH92wudl7m2rtvZrFPzsHGDG4PPVUkaMmYALXNAKxB03ETQ6Vwa6hv0l7v+V/967j1JUtzwPjqwu0gOu0PDxg5SYEig8j7eKpuvVYv+97f63g0TPFxx+6ipqlXex1uV9Xa2vng3VyeLS53bfKw+iogJV1VZlcv8XEGhgRp/bYompY9X6lVJ7XprPb5bTVWttq7boZw1m5W9Jl+FX53VqTmym5LPGKnZ3ZG7ATQi6LiJoNN5lBw+oUd+tFRb1++UJA0fP1g7v9gjSZo0a5xKi8u0df1O+Qf66f5/3qnUq0Z7stwO43A49NXGvdpw6hLXtzsOuGwPjQpxjhLcJCDIX6lXj1Za+niNuyZZQSHuz7SO9lFccNTZ2rPpo62NE8+e4ZKEWGfoGZk2XH4Bfh6qFPAOBB03EXQ6h22ff6WHf/iMSopOKCg0UP3i+zpDzg2/n6HNn+7Q7pyvFRQaqEdW3a2RacM9XLHnHNxb1DhI4aocbVu/06UzbGC3AElyCT2+/r4aM22U0tLHa8J1Y9QtvONnWocre4NdX23c29i3Z02+dmV/7dI/yz/Q73Sn5quSFDu0N52agbMQdNxE0PEswzD01p9X66U7X5W9wa6+Q3vL18+qfVsL5etn081PztF7L2Xq2x0HFBYdosUf/EmDkwd4uuxOo+x4ub58v7FfT84H+S4Bx+Znk83Pppoz1/laNfqKkZqU3jjpaGvmAEPbKTterk0fbXG2+Bw/dMJle4+4aOe4PaOvGElYBUTQcRtBx3OqK2v07K9f0r///pkkacy0JO3fVqBjB0sUGhWi3zw/X3/9z7/r8L5iRfWO0BOZ96nf8L4errrzqqup0+a12513cZ15srRYLPIL9FNt1emOzD5WHyV+L15p6eN16cyxiurFTOudgbNT86kBC7eu/8q1U7PVR8PGDXbOyzU4hU7N6JoIOm4i6HjGgT1FenDWk9q/rVA+Vh9d9csp+vffP1NNZa36DumlW56dp2duelHHD51QrwExeiLzXibCvACGYWh37jfa8E62NryTo2+2fOuyvWl29yYWi0UjLh2qtPTxmpQ+Vj3iund0yTiHmqpabfl0h/MW9pY6NadcmaiUpk7NvSM9VCnQsQg6biLodLysd7L1xI1/VlVZtSJiwnTZjy7V28+vlsNhKGnKCP3sT7P18A+fUdnxcl0yIlaL1/yJP96tdHh/sb5Ylausd7K15dMdsjfYndusvlbZ6+0u+w8bO0iT0hvn3+o9sGdHl4vzOPLtUWfoyfu45U7Nja09SUqYNIxOzTAtgo6bCDodx26369X7X9ffH/uXJCl+4lD1HdJLH65YK0m66peXa8pPLtWD6U+pqrxaQ8YM1OLV9yg0KsSDVZtPxclKbVydpw2rcrTx/U2qKqt2brP4WGQ4XP8kDEy6pLGlZ9Y4Lh12MvYGu3Z+ucc5C3uLnZovG+Hs30OnZpgJQcdNBJ2OUXa8XI/97DnlfrhZknTtr69U0f5i5a5pfH7T4z/XJQmxemj2U6qrqVfi9+L10Nt/VHBokCfLNr36unptXbdTG97JUdY72SouOHbe/fvF99Wk9HFKmzVeAxL7cdLsZEqPlWnTR1uV82G+ctZsVkmRa6fmmH7dNWbqKKVMS1LyFQkKDqNTM7wXQcdNBJ32tzv3az00+2kd+faoAoL89cvFP9Xqlz/Wvq0F8g/00x9fu10Ou0OP//w5NdTbNe6aZN37+kImR+xghmHomy3fOkPPntxvzrt/70E9G2danzVeQ8YMJPR0MoZhaP+2AueAhdvW71T9GZPG+lh9NHx840jNqVclaVByfzo1w6sQdNxE0Glfq//6sf58219VX1uv3oN6au4DP9SLv39FJ46UKrJnuB56Z5H2bflWS3/1ohwOQ5f9aKLueuU2+foxlYGnHT1wXF+8m6sN72Qr/9/bXE6SZ+sRF6209HGaNGu84icMYab1Tqi6ssbZqTn3w80q3HXIZXtoVIiSr0xsbPGZSqdmdH4EHTcRdNpHXU2dnv/Nf2v1Xz+WJI2fkaK09HF67pa/qK6mXgMS++nhVYv02T+/1AsLV0iSrr7pCt3+ws38q7ITqiqvVs6afG1YlaMv39uk8pKKc+4b2StCk2aOVdqs8RqZNlxWG7/Pzujw/mLlftjY2pP38VaXvlqS1H9knFKnJSmlqVMz86ihkyHouImg0/aOfHtUD93wtHbnfC2LxaK5D/1IFln0P/f+nyRp3DXJuvtvv9W/lr6nVx98XVLj6Mc3L5nD5Q8vYG+wa9vnXzWOzvxOtg59feSc+4ZGddOkmY0tPaMvT2Cm9U6qob5BX325xzlg4e6cb1w6NQcE+SvxsnjnZa4+g3vx/yo8jqDjJoJO28rN3KzHfvqcyo6XKySym/74ym1a/88vtWbFJ5Kk638zXb9++kb95Q+nJ+6c99CP9dN70vnD6YUMw1DBzgPOfj1ffblX5/qTEhwWpInXpyotfbxSrkzktudOrPRYmXIztyjnw3zlrtmsksMnXbb3vKS7c9ye0ZfTqRmeQdBxE0GnbTgcDq184m2tuPf/5HAYGpwyQAv/skAvLnxFm9dul4+PRbc8+wvNuGWqnv3VS/rgfxqDz388+wvNvP1qD1ePtlJy+IS+eHeTNqzK1qbMLS6DEp4psFvAqcuZ4zXmqiQFBgd0cKVwl2EY2re1wDl2T0udmuMnDHHOyzU4uT99tNAhCDpuIui0XmVppZbMy1DW29mSGsfDSb/jGj00+ykd2F2koJBA3fP/fqfRVyTo8Tl/1ro3NsjHx6KFL9+iafOmeLh6tJfqyhrlfbS1cXTmd3NVerSsxf38/H019ppkpc1qnGmdIQU6t+rKGm1Zu915mevA7iKX7WHRTZ2ak5QydRRTi6DdEHTcRNBpnX3bCvRA+pM6tPewfP1suu35m9R3SC89kP6kyksq1CMuWo+sWqReA3vqoRueVvbqPNl8rfrPv9+htFnjPV0+OojdbtdXX+49NQ9Xtgq/OtTifjabVSnTRmny7AmacN0YhUR06+BKcaEO7y92hp68j7aqqty1U/OAxH4ac2perhGX0qkZbYeg4yaCzsX79/99pqU3v6iaqlr1iIvWfW/8XgU7D+qZm19QQ71dw8YO0oNv3SX/IH/dO+NxbV2/U/6Bfrr/X39Q6rQkT5cPDzqw+1Bjv55VOdr++VfNRmOWJB8fH426fIQuu2GiJl6fqvDuYR6oFBeiob5BO7/Y47zMtSe3eafmUVNGNF7mmjaKTs1olS4TdAoLCzVnzhwVFxfLZrPp3nvv1Q033OD26wk6F66hvkHL//Ca3vyv9yVJyd8fqUX/e7ve+q/VzukdJt8wQXetuFU1lbW6e/qj2pP7jYJCA/Xou3crYdJwT5aPTubk0VJtfD9PG97JVvYH+aqtrmu2j8XSOGXIlB9P0qUzxzLGi5c4ebS0caTmU2P3NOvU3L+Hc3qKpMsTuGyJC9Jlgk5RUZGOHDmipKQkFRcXKzk5Wbt27VJwsHt3ARB0LszxohN65EfPaNtnX0mSfnL3TP347pl65qYX9OnrG5zr5j38Y5UUndCiaY/o2x0HFBYdosfX3KtBo/t7snx0cnU1dcr79zZteDtbn7218Zz9egYl99f3fzZZk9LHKaYfM617g6aRt5suc23/7CuXTs1Wm1XxE4Yo5VTwoVMzvkuXCTpnS0xM1HvvvafY2Fi39ifouG/bZzv18A+fUcnhkwoKDdQfX/mNho8frPuuX6Kvvtwjm69Vd7z0a02bN0VF3xzRXVc+pMP7ihXdJ1JPZN6nuGF9PP0V4EUcDof25H6jrLeztf6fXzQbybdJ7LA+uvLnk5V2wwT1Hdyrg6vExaquqNbmtTucl7kO7nHt1BzePfSMTs2JiuxJp2a48pqgs27dOj355JPKzc1VUVGR3nzzTV1//fUu+yxbtkxPPvmkioqKNGLECD377LNKS0tr9l45OTmaN2+etm3b5vbnE3S+m2EYevO/3tfyP7wme4Ndl4yI1f3/vFP1dQ26d8bjOvLtUYVEBOv+f/5Boy4bof3bC/XHqQ+rpOiEeg+M0ROZ96nnJT08/TXg5Yr2HdGGd3K07o0N2vHF7hb79fS8pLsu/1maLv/JJPWLd+8fO+gcivYdUc6azcr9MF95H29r3ql5VD/ngIUjLh3KNDHwnqCzevVqff7550pOTtasWbOaBZ2VK1dqzpw5WrZsmS699FK99NJLevnll7Vjxw7FxcU59zt+/LjS0tL08ssva+LEief8vNraWtXW1jqfl5WVKTY2tssGndrqWpUdr1DZ8XKdLC7V0QPHdexgiUoOn1Tp0VKVHSvX0QMlzn9txfTvobihfVRdUa3duV+rrrpeIVHdlJY+ThZZVFFaqU0fbVV5SYUuSYjV42vu5fZStLnyExXKXp2nT9/YoJw1+S2O19NnSC/d8cKvlDQlwQMVojUa6hu0Y8Nul07NZwoI9lfKlYn6yX/O0tAxAz1UJTzNa4LOmSwWS7OgM27cOCUnJ+uFF15wrhs+fLiuv/56LV68WFJjeLnyyit18803a86cOef9jAceeEAPPvhgs/XeHnRqqmpU/O0xFRcc09GDx1VSdFIlh0+o9GiZyo5XqPxEhSpPVKqqvFq1NfWqr62Xvd7ebvUMGztIj77/nwqNDGm3zwAkqb6uXls+3aG1K7P0+VsbXebh6t43Sq99k8F8W17u5NFSbcrcopwPNytnTb5OHCl1brviZ2n6xSM/oa9WF2SKoFNXV6egoCC98cYbmjlzpnO/3/72t8rPz9enn34qwzD005/+VEOHDtUDDzzwnZ/RGVt0GuobVFlapcrSKpWfqFBJ0UkdOxVWThwpVdnxMpUeK1d5SYUqy6pUU1Gruupa1dfZ5bA7zjnkfnvw9bPJL9BPAd0C1C0sSL0Gxig0KkTdwoLVLTxY3SKCFRETpvEzxiggyL/D6gKkxsusWW9n64H0J53r7n19oSbPnuDBqtCWHA6Hvtn8rf757Lv66LV1kiRff1/NvP1q/eTumeoWznQUXYUpgs6hQ4fUp08fff755y6Xox577DG98sor2rVrlz777DNNnjxZiYmJzu2vvfaaRo4c6dZntraPzpkh5cyl4mSlSo+W6cSRUp0sLlXp8XKVH69QWUm5qsurVVNVq/qaetkb7OrI34CP1Ue+/r4KCPJXUFigQiK6KSw6RGHdQxXWPVQRPcIag0t4sILDgxUSEXzqcZCCw4KYWRxe4ZmbX9Tqv34sSYqJi9bwCUNk9bXKZrPJ5mttfOzr+rjpp69f02OrrKf2aavH3EXUtvZs+kbL//Cq8j/ZLkkKjQrRlB9fKv9AP/nYrLLafBp/t7ZTvwebVT7OdT4u661NP89cZ/OR9dS+Z76mxX3PfA1/JzuEu+dvr5hK+OwBpQzDcK6bNGmSHA5Hqz/j6/x9stitLYaW8pIKlTa1qhyvUEVppWoqa1VXVdcmn31BLKdaVQL8FBgSoOCwYIVGdVNkrwhF94lSWFSIuoUHqVtEN3ULDzorrAQzKim6hF8/NUdfvperksMndaTgmI4UHPN0SZIaxwNyBiCbVTY/2+mQ5Xc6cDWGre8IULZzBavTQe3Mx9ZTIa55uLu4x51hoL/ByQO05KP7tfH9TfrLH/9X3+44oLczPvB0WbJYLG6HopYClO2M17jsa7O5hK9z7Ws76zN9zvqspp8+LezrTn1n7tsZ/jv4Lp066ERHR8tqterw4cMu64uLixUTE9Omn7Xwe/fLZumYEGC1+cjm5yv/ID8FhQQqJCJYYd1DFd4jTBEx4YrsGa6w7qGNl4JOXQ5qfBykgOAAr/gPC/Ck4LBg/W75At173eOeLsWFYUgNdQ1qOGP8GK9laRy92sfqIx8fS+PPMxartfHk6GP1kc+pVg7nCfNUy8rpk/cZJ9UzT9YthDNfP5usflb5+vk2hi4/W+Olq99eo715+3T8UIkcDoccDQ457A7ZHYaMBrschtHYgm435HA4ZLcbcjjsMuwO2Rscp1/jcMhhN+Sw2xv3sTuci/3UT+OMxy0xDEMN9XY11Nul6hZ3MQ+LZLVa5WO1NP5efRp/r5YW/xtoDFc+Phbn+safFvlYrbJZLbLYrI3/rVgtslhPBXqrjyxWi6w2W+N6m49sVpvqHDVuldipg46fn59SUlKUmZnp0kcnMzNTP/jBDzxWl8ViafxXl7+vAoL8FBQa5GxFCYsOUXiPMEX2DFd030hFxEQ0tqicCitBoYE0awIdYPy1Kfrd8gXatXHPqRPe6ROW4TCcJyrn4nA9qTWuczQ70Rln7Hfme7T8ni2cJFu4Ld4rGXJ+N3RhhmRvsMveINXXdmyAbzCa323ZEo8HnYqKCu3du9f5fN++fcrPz1dkZKTi4uK0cOFCzZkzR2PGjNGECRO0fPlyFRQUaMGCBa363IyMDGVkZMhub7zzqOeAGIWHhykkIlghUSEK7x6qiJ7hiuodqe6xkereN1qhUSEKDgvi8g/gJa6+6QpdfdMVni6jmbMDUEvhyXA0D1MthbELef3FBDy73XHqRNbYQmGvt6uhvsH5+PT6BjU0OGRvaJCjobGVpOl1p1tM7I2f39BU95n1Nba0GKdaVAxHY23On4Yhw9G4OAxDalpn6NRPQ2qXDNn6N+0U0bZTFOEZHu+MvHbtWk2ZMqXZ+rlz52rFihWSGgcMXLJkiYqKipSQkKClS5dq8uTJbfL5DBgIAID38cq7rjyBoAMAgPdx9/zNvY4AAMC0CDoAAMC0CDoAAMC0umzQycjIUHx8vFJTUz1dCgAAaCd0RqYzMgAAXofOyAAAoMsj6AAAANMi6AAAANMi6AAAANMi6AAAANPqskGH28sBADA/bi/n9nIAALwOt5cDAIAuj6ADAABMi6ADAABMi6ADAABMi6ADAABMi6ADAABMi6ADAABMq8sGHQYMBADA/BgwkAEDAQDwOgwYCAAAujyCDgAAMC2CDgAAMC2CDgAAMC2CDgAAMC2CDgAAMC2CDgAAMK0uG3QYMBAAAPNjwEAGDAQAwOswYCAAAOjyCDoAAMC0CDoAAMC0CDoAAMC0CDoAAMC0CDoAAMC0CDoAAMC0CDoAAMC0CDoAAMC0CDoAAMC0bBf6gldfffW822+88caLLqYjZWRkKCMjQ3a73dOlAACAdnLBQWfr1q3Ox6+99prmzJnjfG6xWNqmqg5w66236tZbb3XOlQEAAMynVZN6jh49Wnl5eW1ZT4djUk8AALxPh0zq6U0tOAAAoOuhMzIAADCtC+6j0717d1ksFhmGoZMnT6pHjx6SJMMwZLFYVFxc3OZFAgAAXIwLDjpHjx5tjzoAAADaHJeuAACAaV1w0NmyZYtmzZql+fPna/fu3bryyisVHBysxMREffHFF+1RIwAAwEW54KBz880362c/+5kmTZqkiRMn6pZbblFJSYmeffZZ/eY3v2mPGgEAAC7KBffRqaurU3p6uiTp8ccfdz6+/PLLVV9f37bVAQAAtMIFt+icOXZOcHCw65v50OUHAAB0HhfcorNlyxb16NGjxdvLS0tL27xAAACAi3XBQaehoaE96gAAAGhzFxx0ampq9OKLL2rv3r1KTEzUL3/5S9lsF/w2AAAA7e6CO9XMnTtXOTk5GjlypN5//339/ve/b4+6AAAAWu2Cm2J27NihrVu3SpLmz5+vsWPHtnlRHSEjI0MZGRmy2+2eLgUAALSTC27R8fX1dT725ktWt956q3bs2KHs7GxPlwIAANpJq+66kuS884pJPQEAQGfDXVcAAMC03A462dnZWrRokY4ePapBgwYpKSlJo0ePVlJSkmJjY9uzRgAAgIvidh+dOXPmyGq1asGCBRowYIA+/fRTzZs3T/369VNUVFR71ggAAHBR3G7RKSws1HvvvaeBAwe6rP/222+Vn5/f1nUBAAC0mttBZ8KECTpw4ECzoNOvXz/169evzQsDAABoLbcvXS1cuFAPP/ywSkpK2rMeAACANuN2i861114ri8WiwYMHa8aMGZowYYJGjx6tUaNGyd/fvz1rBAAAuChuB509e/Zo8+bNzuXxxx/Xt99+K5vNpmHDhmnLli3tWScAAMAFczvoDBw4UAMHDlR6erpzXVlZmfLz8wk5AACgU7IYTUMcd1FlZWUKCwtTaWmpQkNDPV0OAABwg7vn7wue6woAAMBbEHQAAIBpEXQAAIBpEXQAAIBpEXQAAIBpEXQAAIBpEXQAAIBpEXQAAIBpddmgk5GRofj4eKWmpnq6FAAA0E4YGZmRkQEA8DqMjAwAALo8gg4AADAtgg4AADAtgg4AADAtgg4AADAtgg4AADAtgg4AADAtgg4AADAtgg4AADAtgg4AADAtgg4AADAtgg4AADAtgg4AADAtgg4AADAtgg4AADAtgg4AADAtgg4AADAtgg4AADAtgg4AADAtgg4AADAtgg4AADAtgg4AADAtgg4AADAtgg4AADAtgg4AADAtgg4AADAtgg4AADAtgg4AADAtgg4AADAtgg4AADAtUwSdmTNnKiIiQrNnz/Z0KQAAoBMxRdC5/fbb9eqrr3q6DAAA0MmYIuhMmTJFISEhni4DAAB0Mh4POuvWrdOMGTPUu3dvWSwWvfXWW832WbZsmfr376+AgAClpKRo/fr1HV8oAADwOh4POpWVlRo1apSef/75FrevXLlSd9xxh+655x7l5eUpLS1N06dPV0FBQQdXCgAAvI3N0wVMnz5d06dPP+f2Z555RvPnz9dNN90kSXr22We1Zs0avfDCC1q8ePEFf15tba1qa2udz8vKyi68aAAA4BU83qJzPnV1dcrNzdXUqVNd1k+dOlVZWVkX9Z6LFy9WWFiYc4mNjW2LUgEAQCfUqYPOsWPHZLfbFRMT47I+JiZGhw8fdj6fNm2abrjhBr3//vvq27evsrOzz/med999t0pLS51LYWFhu9UPAAA8y+OXrtxhsVhcnhuG4bJuzZo1br+Xv7+//P3926w2AADQeXXqFp3o6GhZrVaX1htJKi4ubtbKAwAAcLZOHXT8/PyUkpKizMxMl/WZmZmaOHGih6oCAADewuOXrioqKrR3717n83379ik/P1+RkZGKi4vTwoULNWfOHI0ZM0YTJkzQ8uXLVVBQoAULFrTqczMyMpSRkSG73d7arwAAADopi2EYhicLWLt2raZMmdJs/dy5c7VixQpJjQMGLlmyREVFRUpISNDSpUs1efLkNvn8srIyhYWFqbS0VKGhoW3yngAAoH25e/72eNDxNIIOAADex93zd6fuowMAANAaBB0AAGBaBB0AAGBaXTboZGRkKD4+XqmpqZ4uBQAAtBM6I9MZGQAAr0NnZAAA0OURdAAAgGkRdAAAgGkRdAAAgGkRdAAAgGkRdAAAgGl12aDDODoAAJgf4+gwjg4AAF6HcXQAAECXR9ABAACmRdABAACmRdABAACmRdABAACmRdABAACm1WWDDuPoAABgfoyjwzg6AAB4HcbRAQAAXR5BBwAAmBZBBwAAmBZBBwAAmBZBBwAAmBZBBwAAmBZBBwAAmBZBBwAAmFaXDTqMjAwAgPkxMjIjIwMA4HUYGRkAAHR5BB0AAGBaBB0AAGBaBB0AAGBaBB0AAGBaBB0AAGBaBB0AAGBaBB0AAGBaBB0AAGBaBB0AAGBaXTboMNcVAADmx1xXzHUFAIDXYa4rAADQ5RF0AACAaRF0AACAaRF0AACAaRF0AACAaRF0AACAaRF0AACAaRF0AACAaRF0AACAaRF0AACAaRF0AACAaRF0AACAaRF0AACAaXXZoJORkaH4+HilpqZ6uhQAANBOLIZhGJ4uwpPcneYdAAB0Hu6ev7tsiw4AADA/gg4AADAtgg4AADAtgg4AADAtgg4AADAtgg4AADAtgg4AADAtgg4AADAtgg4AADAtgg4AADAtgg4AADAtgg4AADAtgg4AADAtgg4AADAtgg4AADAtgg4AADAtgg4AADAtgg4AADAtgg4AADAtgg4AADCtLht0MjIyFB8fr9TUVE+XAgAA2onFMAzD00V4UllZmcLCwlRaWqrQ0FBPlwMAANzg7vm7y7boAAAA8yPoAAAA0yLoAAAA0yLoAAAA0yLoAAAA0yLoAAAA0yLoAAAA0yLoAAAA0yLoAAAA0yLoAAAA0yLoAAAA0yLoAAAA0yLoAAAA0yLoAAAA0yLoAAAA0yLoAAAA0yLoAAAA0yLoAAAA0yLoAAAA0yLoAAAA0yLoAAAA0yLoAAAA0yLoAAAA0yLoAAAA0yLoAAAA0yLoAAAA0yLoAAAA0yLoAAAA0yLoAAAA0zJF0Hn33Xc1dOhQDR48WC+//LKnywEAAJ2EzdMFtFZDQ4MWLlyoTz75RKGhoUpOTlZ6eroiIyM9XRoAAPAwr2/R2bhxo0aMGKE+ffooJCREV199tdasWePpsgAAQCfg8aCzbt06zZgxQ71795bFYtFbb73VbJ9ly5apf//+CggIUEpKitavX+/cdujQIfXp08f5vG/fvjp48GBHlA4AADo5jwedyspKjRo1Ss8//3yL21euXKk77rhD99xzj/Ly8pSWlqbp06eroKBAkmQYRrPXWCyWdq0ZAAB4B4/30Zk+fbqmT59+zu3PPPOM5s+fr5tuukmS9Oyzz2rNmjV64YUXtHjxYvXp08elBefAgQMaN27cOd+vtrZWtbW1zuelpaWSpLKystZ+FQAA0EGaztstNXi4MDoRScabb77pfF5bW2tYrVbjX//6l8t+t99+uzF58mTDMAyjvr7eGDRokHHgwAGjrKzMGDRokHHs2LFzfsb9999vSGJhYWFhYWExwVJYWHjebOHxFp3zOXbsmOx2u2JiYlzWx8TE6PDhw5Ikm82mp59+WlOmTJHD4dBdd92lqKioc77n3XffrYULFzqfnzx5Uv369VNBQYHCwsLa54tAZWVlio2NVWFhoUJDQz1djmlxnDsOx7pjcJw7hjceZ8MwVF5ert69e593v04ddJqc3efGMAyXddddd52uu+46t97L399f/v7+zdaHhYV5zS/Xm4WGhnKcOwDHueNwrDsGx7ljeNtxdqeBwuOdkc8nOjpaVqvV2XrTpLi4uFkrDwAAwNk6ddDx8/NTSkqKMjMzXdZnZmZq4sSJHqoKAAB4C49fuqqoqNDevXudz/ft26f8/HxFRkYqLi5OCxcu1Jw5czRmzBhNmDBBy5cvV0FBgRYsWNAmn+/v76/777+/xctZaDsc547Bce44HOuOwXHuGGY+zpZTdzt5zNq1azVlypRm6+fOnasVK1ZIahwwcMmSJSoqKlJCQoKWLl2qyZMnd3ClAADA23g86AAAALSXTt1HBwAAoDUIOgAAwLQIOgAAwLQIOgAAwLQIOt9h5syZioiI0OzZs5tte/fddzV06FANHjxYL7/8sgeqM6elS5dqxIgRio+P1+233/7dE7bhou3bt09TpkxRfHy8Ro4cqcrKSk+XZFpVVVXq16+f7rzzTk+XYkqFhYW67LLLFB8fr8TERL3xxhueLsk0vP1cx11X3+GTTz5RRUWFXnnlFf3jH/9wrm9oaFB8fLw++eQThYaGKjk5WV9++aUiIyM9WK33O3r0qMaPH6/t27fL19dXkydP1lNPPaUJEyZ4ujRT+t73vqdHHnlEaWlpKikpUWhoqGw2jw+vZUr33HOP9uzZo7i4OD311FOeLsd0ioqKdOTIESUlJam4uFjJycnatWuXgoODPV2aVzPDuY4Wne8wZcoUhYSENFu/ceNGjRgxQn369FFISIiuvvpqrVmzxgMVmk9DQ4NqampUX1+v+vp69ejRw9MlmVJTmExLS5MkRUZGEnLayZ49e/TVV1/p6quv9nQpptWrVy8lJSVJknr06KHIyEiVlJR4tigTMMO5zquDzrp16zRjxgz17t1bFotFb731VrN9li1bpv79+ysgIEApKSlav359m3z2oUOH1KdPH+fzvn376uDBg23y3p1Zex/z7t27684771RcXJx69+6t73//+xo4cGAbfgPv0d7Hes+ePerWrZuuu+46JScn67HHHmvD6r1HR/wdufPOO7V48eI2qtg7deTf65ycHDkcDsXGxrayau/X2uNuhnOdVwedyspKjRo1Ss8//3yL21euXKk77rhD99xzj/Ly8pSWlqbp06eroKDAuU9KSooSEhKaLYcOHTrvZ7d0xe/sWdbNqL2P+YkTJ/Tuu+9q//79OnjwoLKysrRu3bqO+nqdSnsf6/r6eq1fv14ZGRnasGGDMjMzm80r1xW093F+++23NWTIEA0ZMqSjvlKn1FF/r48fP64bb7xRy5cvb/fv5A1ae9xNca4zTEKS8eabb7qsGzt2rLFgwQKXdcOGDTMWLVp0Qe/9ySefGLNmzXJZ9/nnnxvXX3+98/ntt99u/O1vf7uwor1cexzz119/3fiP//gP5/MlS5YYTzzxRKtr9XbtcayzsrKMadOmOZ8vWbLEWLJkSatr9WbtcZwXLVpk9O3b1+jXr58RFRVlhIaGGg8++GBbleyV2uvvdU1NjZGWlma8+uqrbVGm6VzMcTfDuc6rW3TOp66uTrm5uZo6darL+qlTpyorK6vV7z927Fht27ZNBw8eVHl5ud5//31Nmzat1e/rzdrimMfGxiorK0s1NTWy2+1au3athg4d2h7lerW2ONapqak6cuSITpw4IYfDoXXr1mn48OHtUa7XaovjvHjxYhUWFmr//v166qmndPPNN+u+++5rj3K9VlscZ8MwNG/ePF1++eWaM2dOe5RpOu4cdzOc60zb8/DYsWOy2+2KiYlxWR8TE6PDhw+7/T7Tpk3Tpk2bVFlZqb59++rNN99UamqqbDabnn76aU2ZMkUOh0N33XWXoqKi2vpreJW2OObjx4/X1VdfrdGjR8vHx0dXXHGFrrvuuvYo16u1xbG22Wx67LHHNHnyZBmGoalTp+raa69tj3K9Vlv9HcH5tcVx/vzzz7Vy5UolJiY6+6G89tprGjlyZFuXaxruHHcznOtMG3SanH0t0TCMC7q+eL7e5ddddx0n4Ra09pg/+uijevTRR9u6LFNq7bGePn26pk+f3tZlmU5rj3OTefPmtVFF5tSa4zxp0iQ5HI72KMv0vuu4e/u5zrSXrqKjo2W1Wpv9a6C4uLhZekXb4Jh3HI51x+A4dwyOs2d0leNu2qDj5+enlJSUZneRZGZmauLEiR6qytw45h2HY90xOM4dg+PsGV3luHv1pauKigrt3bvX+Xzfvn3Kz89XZGSk4uLitHDhQs2ZM0djxozRhAkTtHz5chUUFGjBggUerNq7ccw7Dse6Y3CcOwbH2TM47vLu28s/+eQTQ1KzZe7cuc59MjIyjH79+hl+fn5GcnKy8emnn3quYBPgmHccjnXH4Dh3DI6zZ3DcDYO5rgAAgGmZto8OAAAAQQcAAJgWQQcAAJgWQQcAAJgWQQcAAJgWQQcAAJgWQQcAAJgWQQcAAJgWQQcAAJgWQQcAAJgWQQeA15g8ebIsFosefvhhl/WGYWjcuHGyWCy67777PFQdgM6IoAPAKxiGofz8fPXr109bt2512fbKK6/o0KFDkqTk5GRPlAegkyLoAPAKe/bsUXl5uebNm+cSdMrLy3X33Xdr3rx5kqSUlBQPVQigMyLoAPAKubm5CggI0E9+8hPt2bNHtbW1kqSHH35YSUlJ6tWrl6KjoxUbG+vhSgF0JgQdAF5h06ZNSkxM1JAhQxQcHKydO3dqz549WrZsmZYuXapNmzY5W3NsNpuSkpKUkJCgG264QVVVVS7rk5KSlJqaqvz8fOf7R0dHu3zenXfeqRUrVnTU1wPQTgg6ALxCbm6uUlJSZLFYlJiYqG3btul3v/udfvWrX2nYsGHKzc119s8JDw9Xfn6+tm3bJj8/P7344osu6/Pz87Vo0SI99NBDnvxKADoAQQeAV8jLy3MGmVGjRum5557Txo0bdf/996uurk7bt29vsSNyWlqa9u7d22x9WVmZwsLC2r1uAJ5l83QBAPBdvvnmG508edJ5aSopKUkZGRlavny5wsLClJubq/r6+mYdkRsaGrR69WpdddVVkqSTJ08qKSlJVVVVOnbsmLKyspz7Nm1rcujQIS1ZsqT9vxyAdkXQAdDp5ebmys/PTwkJCZKkuXPn6vrrr1dUVJSkxv47ERER6t+/vyTX0JKWlqb58+dLOn3pSpL+8Y9/6LbbbtNHH33UbJvU2EcHgPcj6ADo9DZt2qSEhAT5+vpKknx9fV06D2/atEmjR492Pj87tLTk2muv1Y033tgu9QLoPOijA6DTW7x4sXJzc8+5/YUXXtDHH398Qe+ZlZWlAQMGtLY0AJ0cLToAuoymS1qGYchms2n58uWeLglAO7MYhmF4uggAAID2wKUrAABgWgQdAABgWgQdAABgWgQdAABgWgQdAABgWgQdAABgWgQdAABgWgQdAABgWgQdAABgWgQdAABgWgQdAABgWv8fKTGVb8u6TAsAAAAASUVORK5CYII=", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Get unique p values\n", + "results_list_of_tuples = [(d['p'], d['m'], d['n_pbh'], d['ks_stat'], d['p_value']) for d in results]\n", + "results_np = np.array(results_list_of_tuples, dtype=[('p', 'f8'), ('m', 'f8'), ('n_pbh', 'f8'), ('ks_stat', 'f8'), ('p_value', 'f8')])\n", + "p_values_unique = np.unique(results_np['p'])\n", + "\n", + "# Create separate exclusion plots for each p value\n", + "colors = sns.color_palette(\"colorblind\", len(p_values_unique))\n", + "for i, p in enumerate(p_values_unique):\n", + " # Filter results for the current p value\n", + " results_filtered = results_np[results_np['p'] == p]\n", + "\n", + " # Create grids for m and f_pbh values\n", + " m_grid, f_pbh_grid = np.meshgrid(np.unique(results_filtered['m']), np.unique(results_filtered['n_pbh']))\n", + "\n", + " # Create a grid for the p_value values\n", + " p_value_grid = np.array([results_filtered['p_value'][(results_filtered['m'] == m) & (results_filtered['n_pbh'] == f_pbh)][0] for m in np.unique(results_filtered['m']) for f_pbh in np.unique(results_filtered['n_pbh'])]).reshape(len(np.unique(results_filtered['m'])), len(np.unique(results_filtered['n_pbh'])))\n", + "\n", + " # Create the exclusion plot\n", + " plt.contour(m_grid, f_pbh_grid, p_value_grid.T, levels=[0.05], label=f'p = {round(p,2)}')\n", + "\n", + "plt.colorbar(cp, label='KS Test p-value')\n", + "plt.xscale('log')\n", + "plt.yscale('log')\n", + "plt.xlabel(r'$M_{\\rm{PBH}}$')\n", + "plt.ylabel(r'$n_{\\rm{PBH}}$')\n", + "plt.legend()\n", + "\n", + "plt.show()\n" + ] + }, + { + "cell_type": "code", + "execution_count": 127, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([(0.66 , 1.00000000e-10, 0.01 , 0.0099596 , 9.99999999e-01),\n", + " (0.66 , 1.00000000e-10, 0.03162278, 0.03042415, 7.40662526e-01),\n", + " (0.66 , 1.00000000e-10, 0.1 , 0.09611111, 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3.16227766e-05, 0.31622777, 0.29244444, 2.95621966e-31),\n", + " (1.33 , 3.16227766e-05, 1. , nan, nan),\n", + " (1.33 , 1.77827941e-02, 0.01 , 0.01 , 9.99999999e-01),\n", + " (1.33 , 1.77827941e-02, 0.03162278, 0.03096801, 7.20790717e-01),\n", + " (1.33 , 1.77827941e-02, 0.1 , 0.1 , 1.40482913e-04),\n", + " (1.33 , 1.77827941e-02, 0.31622777, 0.316 , 1.53821007e-36),\n", + " (1.33 , 1.77827941e-02, 1. , nan, nan),\n", + " (1.33 , 1.00000000e+01, 0.01 , 0.01 , 9.99999999e-01),\n", + " (1.33 , 1.00000000e+01, 0.03162278, 0.031 , 7.19614233e-01),\n", + " (1.33 , 1.00000000e+01, 0.1 , 0.1 , 1.40482913e-04),\n", + " (1.33 , 1.00000000e+01, 0.31622777, 0.316 , 1.53821007e-36),\n", + " (1.33 , 1.00000000e+01, 1. , nan, nan)],\n", + " dtype=[('p', ' str:\n", " return f\"PBH population with mass={self.mass} and f_dm={self.f_dm}\"\n", " __repr__ = __str__\n", "\n", - " def differential_rate_integrand(self, umin, d, t, model, finite=False, v_disp=None, t_e = False):\n", + " def mass_function(self, m):\n", + " \"\"\"The mass function of the PBH population\"\"\"\n", + " if not self.sigma or not self.lognorm:\n", + " raise ValueError(\"Lognormal mass function not initialized\")\n", + " return 1 / (m * self.sigma * np.sqrt(2 * np.pi)) * np.exp(-(np.log(m/self.mass))**2 / (2 * self.sigma**2))\n", + "\n", + " def differential_rate_integrand(self, umin, d, t, model, finite=False, v_disp=None, t_e = False, tmax=np.inf, tmin=0):\n", + " # def differential_rate_integrand(self, umin, d, t, mf, model, finite=False, v_disp=None, t_e = False, tmax=np.inf, tmin=0):\n", + "\n", " r = model.dist_center(d, self.l, self.b)\n", " ut = self.umin_upper_bound(d) if finite else self.u_t\n", " if ut <= umin:\n", " return 0\n", - " #! There is a relative factor of 2 u_t difference between t_e and t_fwhm for radial velocity!\n", - " v_rad = velocity_radial(d, self.mass, umin, t * htosec, ut) \n", - " if t_e:\n", - " v_rad = v_rad / 2\n", + " if t_e: \n", + " #Calculate radial velocity in terms of einstein crossing time\n", + " v_rad = einstein_rad(d, self.mass, self.ds) * kpctokm / (t * htosec) \n", + " t_duration = max(ut, self.umin_upper_bound(d)) * 2 * einstein_rad(d, self.mass) * kpctokm / v_rad / htosec #event duration in hours\n", + "\n", + " if t_duration > tmax or t_duration < tmin:\n", + " return 0 \n", + " else:\n", + " #Calculate radial velocity in terms of event duration (t_fwhm)\n", + " v_rad = velocity_radial(d, self.mass, umin, t * htosec, ut) \n", " if v_disp is None: \n", " v_disp = model.velocity_dispersion_dm(r)\n", " return 2 * (1 / (ut**2 - umin**2)**0.5 *\n", @@ -187,12 +209,14 @@ " result, error = nquad(integrand, [bounds_t, bounds_d], args=[finite], opts=opts)\n", " return result\n", " \n", - " \n", - " def d_upper_bound(self):\n", + " \n", + " def d_upper_bound(self, m=None):\n", + " if m is None:\n", + " m = self.mass\n", " #Determine upper limit for d otherwise for low masses, the contribution which only comes from d << 1 gets missed\n", " d_arr = np.logspace(-3, np.log10(self.ds*0.99), 100)\n", " for d in d_arr:\n", - " if self.umin_upper_bound(d) == 0:\n", + " if self.umin_upper_bound(d,m=m) == 0:\n", " return d\n", " return self.ds\n", " \n", @@ -208,26 +232,21 @@ " \n", " def rate_tot(self, finite=False):\n", " return self.rate_mw(finite=finite) + self.rate_m31(finite=finite)\n", - "\n", - " # def differential_rate_mw(self, t, finite=False):\n", - " # return self.differential_rate(t, self.differential_rate_integrand_mw, finite=finite)\n", " \n", - " def differential_rate_mw(self, t, finite=True, v_disp=None, t_e=False):\n", + " def differential_rate_mw(self, t, finite=True, v_disp=None, t_e=False, tmax=np.inf, tmin=0):\n", " def integrand_func(umin, d, t):\n", - " return self.differential_rate_integrand(umin, d, t, self.mw_model, finite=finite, v_disp=v_disp, t_e = t_e)\n", + " return self.differential_rate_integrand(umin, d, t, self.mw_model, finite=finite, v_disp=v_disp, t_e = t_e, tmax=tmax, tmin=tmin)\n", " return self.differential_rate(t, integrand_func, finite=finite)\n", - "\n", - " # def differential_rate_m31(self, t, finite=False):\n", - " # return self.differential_rate(t, self.differential_rate_integrand_m31, finite=finite)\n", " \n", " def differential_rate_m31(self, t, finite=True, v_disp=None):\n", " def integrand_func(umin, d, t):\n", " return self.differential_rate_integrand(umin, d, t, self.m31_model, finite=finite, v_disp=v_disp)\n", " return self.differential_rate(t, integrand_func, finite=finite)\n", "\n", - " def umin_upper_bound(self, d):\n", - " # return self.ut_interp(d, self.mass)[0]\n", - " rho = rho_func(self.mass, d, self.ds)\n", + " def umin_upper_bound(self, d, m=None):\n", + " if m is None:\n", + " m = self.mass\n", + " rho = rho_func(m, d, self.ds)\n", " return self.ut_interp(rho, magnification(self.u_t))\n", " \n", " def differential_rate_total(self, t, finite=True):\n", @@ -242,12 +261,74 @@ " if result.success:\n", " return result.x[0] if isinstance(result.x, (list, np.ndarray)) else result.x\n", " else:\n", - " return self.ds" + " return self.ds\n", + " \n", + " def differential_rate_lognorm(self, t, integrand_func, finite=False, epsabs = 1.49e-08, epsrel = 1.49e-08):\n", + " #rewrite using tplquad?\n", + " num = 20 # number of discretization points, empirically, result levels off for >~ 40\n", + " mf_values = np.linspace(np.log10(self.mass)-2, np.log10(self.mass)+2, num=num)\n", + "\n", + " result = 0\n", + " for i in range(num):\n", + " mf = mf_values[i]\n", + " if i == 0: # for the first point\n", + " dm = mf_values[i+1] - mf_values[i]\n", + " elif i < num - 1: # for middle points\n", + " dm = ((mf_values[i+1] - mf_values[i]) + (mf_values[i] - mf_values[i-1])) / 2\n", + " else: # for the last point\n", + " dm = mf_values[i] - mf_values[i-1]\n", + "\n", + " if finite:\n", + " single_result, error = dblquad(integrand_func, \n", + " # 0, 10, \n", + " 0, self.d_upper_bound(10**mf),\n", + " lambda d: 0, \n", + " lambda d: self.umin_upper_bound(d, 10**mf),\n", + " args=(10**mf, t),\n", + " epsabs=epsabs,\n", + " epsrel=epsrel,\n", + " )\n", + " else:\n", + " single_result, error = dblquad(integrand_func,\n", + " #Without finite size effects, integral blows up at M31 center\n", + " 0, self.ds,\n", + " lambda d: 0, \n", + " lambda d: self.u_t,\n", + " args=(10**mf, t),\n", + " epsabs=epsabs,\n", + " epsrel=epsrel,\n", + " )\n", + " \n", + " # result += single_result * ((10**mf/1) ** -self.p) * dm # multiply by mass function and by dlogm. This is for dN/dlogM\n", + " result += single_result * self.mass_function(10**mf) * dm * 10**mf # multiply by mass function and by dlogm * m. \n", + " return result\n", + " \n", + " def differential_rate_integrand_lognorm(self, umin, d, t, mf, model, finite=False, v_disp=None, t_e = False, tmax=np.inf, tmin=0):\n", + "\n", + " r = model.dist_center(d, self.l, self.b)\n", + " ut = self.umin_upper_bound(d) if finite else self.u_t\n", + " if ut <= umin:\n", + " return 0 \n", + " else:\n", + " #Calculate radial velocity in terms of event duration (t_fwhm)\n", + " v_rad = velocity_radial(d, mf, umin, t * htosec, ut) \n", + " if v_disp is None: \n", + " v_disp = model.velocity_dispersion_dm(r)\n", + " return 2 * (1 / (ut**2 - umin**2)**0.5 *\n", + " model.density_dm(d, self.l, self.b) / (mf * v_disp**2) * \n", + " v_rad**4 * (htosec / kpctokm)**2 *\n", + " np.exp(-(v_rad**2 / v_disp**2)) *\n", + " 1)\n", + " \n", + " def differential_rate_mw_lognorm(self, t, finite=True, v_disp=None, t_e=False, tmax=np.inf, tmin=0):\n", + " def integrand_func(umin, d, mf, t):\n", + " return self.differential_rate_integrand_lognorm(umin, d, t, mf, self.mw_model, finite=finite, v_disp=v_disp, t_e = t_e, tmax=tmax, tmin=tmin)\n", + " return self.differential_rate_lognorm(t, integrand_func, finite=finite)" ] }, { "cell_type": "code", - "execution_count": 34, + "execution_count": 93, "metadata": {}, "outputs": [], "source": [ @@ -258,7 +339,102 @@ }, { "cell_type": "code", - "execution_count": 35, + "execution_count": 104, + "metadata": {}, + "outputs": [], + "source": [ + "pbh = Pbh(m_lens, 1, l=l, b=b, ds=ds, lognorm=True, sigma=0.6)\n", + "pbh_wide = Pbh(m_lens, 1, l=l, b=b, ds=ds, lognorm=True, sigma=1.0)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 97, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/Users/nolansmyth/opt/anaconda3/lib/python3.9/site-packages/scipy/integrate/_quadpack_py.py:1233: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", + " quad_r = quad(f, low, high, args=args, full_output=self.full_output,\n" + ] + } + ], + "source": [ + "diff_rate_mono = np.array([pbh.differential_rate_mw(t, finite=False) for t in ts])\n", + "diff_rate_lognorm = np.array([pbh.differential_rate_mw_lognorm(t, finite=False) for t in ts])\n", + "diff_rate_lognorm_wide = np.array([pbh_wide.differential_rate_mw_lognorm(t, finite=False) for t in ts])\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 159, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.loglog(ts, diff_rate_mono, label=\"Monochromatic\", color=\"lightblue\", linestyle=\"--\")\n", + "plt.loglog(ts, diff_rate_lognorm, label=\"Lognorm\", color=\"cyan\", linestyle=\"-.\")\n", + "plt.loglog(ts, diff_rate_lognorm_wide, label=\"Lognorm Wider\", color=\"darkblue\", linestyle=\":\")\n", + "\n", + "plt.xlim(1e-2, 1e1)\n", + "# plt.ylim(1e-8, 1e-5)\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 160, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/Users/nolansmyth/opt/anaconda3/lib/python3.9/site-packages/scipy/integrate/_quadpack_py.py:1233: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", + " quad_r = quad(f, low, high, args=args, full_output=self.full_output,\n" + ] + } + ], + "source": [ + "diff_rate_mono_finite = np.array([pbh.differential_rate_mw(t, finite=True) for t in ts])\n", + "diff_rate_lognorm_finite = np.array([pbh.differential_rate_mw_lognorm(t, finite=True) for t in ts])\n", + "diff_rate_lognorm_wide_finite = np.array([pbh_wide.differential_rate_mw_lognorm(t, finite=True) for t in ts])\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "plt.loglog(ts, diff_rate_mono_finite, label=\"Monochromatic\", color=\"lightblue\", linestyle=\"--\")\n", + "plt.loglog(ts, diff_rate_lognorm_finite, label=\"Lognorm\", color=\"cyan\", linestyle=\"-.\")\n", + "plt.loglog(ts, diff_rate_lognorm_wide_finite, label=\"Lognorm Wider\", color=\"darkblue\", linestyle=\":\")\n", + "\n", + "plt.xlim(1e-2, 1e1)\n", + "# plt.ylim(1e-8, 1e-5)\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 5, "metadata": {}, "outputs": [], "source": [ @@ -280,7 +456,7 @@ }, { "cell_type": "code", - "execution_count": 36, + "execution_count": 6, "metadata": {}, "outputs": [ { @@ -319,14 +495,14 @@ }, { "cell_type": "code", - "execution_count": 37, + "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ - "/Users/nolansmyth/opt/anaconda3/lib/python3.9/site-packages/scipy/integrate/quadpack.py:879: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", + "/Users/nolansmyth/opt/anaconda3/lib/python3.9/site-packages/scipy/integrate/_quadpack_py.py:1233: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", " quad_r = quad(f, low, high, args=args, full_output=self.full_output,\n" ] } @@ -338,7 +514,7 @@ }, { "cell_type": "code", - "execution_count": 38, + "execution_count": 8, "metadata": {}, "outputs": [ { diff --git a/nbs/01_ffp.ipynb b/nbs/01_ffp.ipynb index 3b6738d..0319255 100644 --- a/nbs/01_ffp.ipynb +++ b/nbs/01_ffp.ipynb @@ -21,7 +21,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 3, "metadata": {}, "outputs": [], "source": [ @@ -31,7 +31,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 4, "metadata": {}, "outputs": [], "source": [ @@ -60,7 +60,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 5, "metadata": {}, "outputs": [], "source": [ @@ -70,7 +70,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 6, "metadata": {}, "outputs": [], "source": [ @@ -149,14 +149,22 @@ " m = 10**log10m\n", " return self.Z * (m/1)**-self.p\n", "\n", - " def differential_rate_integrand(self, umin, d, t, mf, model, finite=False, v_disp=None, t_e=False):\n", + " def differential_rate_integrand(self, umin, d, t, mf, model, finite=False, v_disp=None, t_e=False, tmax=np.inf, tmin=0):\n", " r = model.dist_center(d, self.l, self.b)\n", " ut = self.umin_upper_bound(d, mf) if finite else self.u_t\n", " if ut <= umin:\n", " return 0\n", - " v_rad = velocity_radial(d, mf, umin, t * htosec, ut) \n", - " if t_e:\n", - " v_rad = v_rad/2\n", + " if t_e: \n", + " #Calculate radial velocity in terms of einstein crossing time\n", + " v_rad = einstein_rad(d, mf, self.ds) * kpctokm / (t * htosec) \n", + " #crossing duration determined by extent of source in extreme finite limit\n", + " t_duration = max(ut, self.umin_upper_bound(d, mf)) * 2 * einstein_rad(d, mf) * kpctokm / v_rad / htosec #event duration in hours\n", + "\n", + " if t_duration > tmax or t_duration < tmin:\n", + " return 0 \n", + " else:\n", + " #Calculate radial velocity in terms of event duration (t_fwhm)\n", + " v_rad = velocity_radial(d, mf, umin, t * htosec, ut) \n", " if v_disp is None: \n", " v_disp = model.velocity_dispersion_stars(r)\n", " return 2 * (1 / (ut**2 - umin**2)**0.5 *\n", @@ -166,7 +174,7 @@ " np.exp(-(v_rad**2 / v_disp**2)) *\n", " 1)\n", "\n", - " def differential_rate(self, t, integrand_func, finite=False):\n", + " def differential_rate(self, t, integrand_func, finite=False, epsabs = 1.49e-08, epsrel = 1.49e-08):\n", " #rewrite using tplquad?\n", " num = 40 # number of discretization points, empirically, result levels off for >~ 40\n", " mf_values = np.linspace(np.log10(self.m_min), np.log10(self.m_max), num=num)\n", @@ -187,6 +195,8 @@ " lambda d: 0, \n", " lambda d: self.umin_upper_bound(d, 10**mf),\n", " args=(10**mf, t),\n", + " epsabs=epsabs,\n", + " epsrel=epsrel,\n", " )\n", " else:\n", " single_result, error = dblquad(integrand_func,\n", @@ -195,6 +205,8 @@ " lambda d: 0, \n", " lambda d: self.u_t,\n", " args=(10**mf, t),\n", + " epsabs=epsabs,\n", + " epsrel=epsrel,\n", " )\n", " \n", " result += single_result * ((10**mf/1) ** -self.p) * dm # multiply by mass function and by dlogm. This is for dN/dlogM\n", @@ -202,15 +214,15 @@ " result *= self.Z # normalization\n", " return result\n", " \n", - " def differential_rate_mw(self, t, finite=True, v_disp=None, t_e=False):\n", + " def differential_rate_mw(self, t, finite=True, v_disp=None, t_e=False, epsabs = 1.49e-08, epsrel = 1.49e-08, tmax=np.inf, tmin=0):\n", " def integrand_func(umin, d, mf, t):\n", - " return self.differential_rate_integrand(umin, d, t, mf, self.mw_model, finite=finite, v_disp=v_disp, t_e=t_e)\n", - " return self.differential_rate(t, integrand_func, finite=finite)\n", + " return self.differential_rate_integrand(umin, d, t, mf, self.mw_model, finite=finite, v_disp=v_disp, t_e=t_e, tmax=tmax, tmin=tmin)\n", + " return self.differential_rate(t, integrand_func, finite=finite, epsabs=epsabs, epsrel=epsrel)\n", "\n", - " def differential_rate_m31(self, t, finite=True, v_disp=None):\n", + " def differential_rate_m31(self, t, finite=True, v_disp=None, epsabs = 1.49e-08, epsrel = 1.49e-08,):\n", " def integrand_func(umin, d, mf, t):\n", " return self.differential_rate_integrand(umin, d, t, mf, self.m31_model, finite=finite, v_disp=v_disp)\n", - " return self.differential_rate(t, integrand_func, finite=finite)\n", + " return self.differential_rate(t, integrand_func, finite=finite, epsabs=epsabs, epsrel=epsrel)\n", "\n", " def differential_rate_mw_mass(self, m, finite=True, v_disp=None, tcad=0.07, tobs=3, epsabs = 1.49e-08, epsrel = 1.49e-08, efficiency=None, monochromatic=False):\n", " def integrand_func(umin, d, t, mf):\n", @@ -282,12 +294,32 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "p = 1.0\n", - "f = Ffp(p, l = l, b = b, u_t = 1)" + "f = Ffp(p, l = l, b = b, u_t = 2)" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "2.0017875097175997e-19" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "f.differential_rate_integrand(0, 5, 1e-1, 1e-10, f.mw_model, finite=False, v_disp=None, t_e=True, tmax=1825*25, tmin=0.25)" ] }, { diff --git a/nbs/03_survey.ipynb b/nbs/03_survey.ipynb index 05208b1..ad7bb1e 100644 --- a/nbs/03_survey.ipynb +++ b/nbs/03_survey.ipynb @@ -118,16 +118,22 @@ " def add_pbh(self, \n", " m_pbh: float = 1, # mass of each PBH in solar masses\n", " f_dm: float = 1, # fraction of DM in PBHs\n", + " lognorm=False,\n", + " sigma=None,\n", " ):\n", " \"\"\"adds a PBH population to the survey\"\"\"\n", - " self.pbh = Pbh(m_pbh, f_dm, l=self.l, b=self.b, u_t=self.u_t, ds=self.source_dist)\n", + " # self.pbh = Pbh(m_pbh, f_dm, l=self.l, b=self.b, u_t=self.u_t, ds=self.source_dist)\n", + " self.pbh = Pbh(m_pbh, f_dm, l=self.l, b=self.b, u_t=self.u_t, ds=self.source_dist, lognorm=lognorm, sigma=sigma)\n", + "\n", " return\n", " \n", " def add_ffp(self,\n", " p: float, # power law index of FFP mass function\n", + " m_min: float = 1e-15, # minimum mass of FFPs in solar masses\n", + " m_max: float = 1e-3, # maximum mass of FFPs in solar masses\n", " ):\n", " \"\"\"adds a FFP population to the survey\"\"\"\n", - " self.ffp = Ffp(p, l=self.l, b=self.b, u_t=self.u_t, ds=self.source_dist)\n", + " self.ffp = Ffp(p, l=self.l, b=self.b, u_t=self.u_t, ds=self.source_dist, m_min=m_min, m_max=m_max)\n", " \n", " def get_crossing_times_rates_pbh(self,\n", " t_es: np.ndarray,\n", @@ -297,6 +303,10 @@ "display_name": "python3", "language": "python", "name": "python3" + }, + "language_info": { + "name": "python", + "version": "3.9.7" } }, "nbformat": 4, diff --git a/nbs/04_utils.ipynb b/nbs/04_utils.ipynb index 4f3c37b..170dd92 100644 --- a/nbs/04_utils.ipynb +++ b/nbs/04_utils.ipynb @@ -21,7 +21,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ @@ -31,7 +31,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 1, "metadata": {}, "outputs": [], "source": [ @@ -53,7 +53,7 @@ }, { "cell_type": "code", - "execution_count": 39, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ @@ -67,7 +67,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 3, "metadata": {}, "outputs": [], "source": [ @@ -130,6 +130,18 @@ " ) -> float: # radial velocity in km/s\n", " return 2*einstein_rad(d, mass) * (ut**2 - umin**2)**(1/2) / t * kpctokm\n", "\n", + "def event_duration(d: float, # distance from the Sun in kpc\n", + " mass: float, # mass of the lens in Msun\n", + " umin: float, # minimum impact parameter\n", + " v_rel: float, # transverse velocity in km/s\n", + " ut: float, # threshold impact parameter\n", + " ds: float, # distance to the source in kpc\n", + " ) -> float: # event duration in seconds\n", + " # return 2*einstein_rad(d, mass)* kpctokm * (ut**2 - umin**2)**(1/2) / v_rel\n", + " rho = rho_func(mass, d, ds)\n", + " return 2* (1 - ((umin + rho)/ut)**2)**(1/2) * einstein_rad(d, mass) * kpctokm * (ut + rho) / v_rel \n", + " \n", + "\n", "# from below 16 of https://iopscience.iop.org/article/10.3847/1538-4357/ac07a8/pdf*)\n", "# alphabar = 27 Degrees xp-axis is aligned with the major axis\n", "# of the Galactic bar,where \\[Alpha]bar=27\\[Degree] is applied as the bar angle.\n", @@ -169,7 +181,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 4, "metadata": {}, "outputs": [], "source": [ @@ -182,7 +194,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 5, "metadata": {}, "outputs": [], "source": [ @@ -198,7 +210,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 6, "metadata": {}, "outputs": [], "source": [ @@ -320,7 +332,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 7, "metadata": {}, "outputs": [], "source": [ @@ -331,7 +343,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 8, "metadata": {}, "outputs": [ { @@ -360,7 +372,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 9, "metadata": {}, "outputs": [ { @@ -385,7 +397,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 10, "metadata": {}, "outputs": [], "source": [ @@ -407,7 +419,7 @@ }, { "cell_type": "code", - "execution_count": 44, + "execution_count": 15, "metadata": {}, "outputs": [], "source": [ @@ -415,10 +427,12 @@ "#Ratio of angular extent of source and lens in plane of lens\n", "# rho == theta_s/theta_l\n", "rho_min = 0.1\n", - "# rho_max = 4.5\n", - "rho_max = 10.1\n", + "rho_max = 4.5\n", + "# rho_max = 10.1\n", + "\n", + "# rhos = np.linspace(rho_min, rho_max, 100)\n", + "rhos = np.linspace(rho_min, rho_max, 40)\n", "\n", - "rhos = np.linspace(rho_min, rho_max, 100)\n", "\n", "A_thresh_min = 1.01\n", "A_thresh_max = 1.34\n", @@ -427,29 +441,51 @@ }, { "cell_type": "code", - "execution_count": 45, + "execution_count": 16, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_79403/3744683341.py:11: DeprecationWarning: `interp2d` is deprecated!\n", + "`interp2d` is deprecated in SciPy 1.10 and will be removed in SciPy 1.13.0.\n", + "\n", + "For legacy code, nearly bug-for-bug compatible replacements are\n", + "`RectBivariateSpline` on regular grids, and `bisplrep`/`bisplev` for\n", + "scattered 2D data.\n", + "\n", + "In new code, for regular grids use `RegularGridInterpolator` instead.\n", + "For scattered data, prefer `LinearNDInterpolator` or\n", + "`CloughTocher2DInterpolator`.\n", + "\n", + "For more details see\n", + "`https://scipy.github.io/devdocs/notebooks/interp_transition_guide.html`\n", + "\n", + " ut_interp_rho = interp2d(rhos, A_threshs, u_ts_new.T)\n" + ] + } + ], "source": [ - "# def compute_u_t(args):\n", - "# rho, A_thresh = args\n", - "# return u_t_finite_new(rho, A_thresh)\n", + "def compute_u_t(args):\n", + " rho, A_thresh = args\n", + " return u_t_finite_new(rho, A_thresh)\n", "\n", - "# args_list = [(rho, A_thresh) for rho in rhos for A_thresh in A_threshs]\n", + "args_list = [(rho, A_thresh) for rho in rhos for A_thresh in A_threshs]\n", "\n", - "# with Pool() as p:\n", - "# u_ts_flat = p.map(compute_u_t, args_list)\n", - "# u_ts_new = np.array(u_ts_flat).reshape(len(rhos), len(A_threshs))\n", + "with Pool() as p:\n", + " u_ts_flat = p.map(compute_u_t, args_list)\n", + "u_ts_new = np.array(u_ts_flat).reshape(len(rhos), len(A_threshs))\n", "\n", - "# ut_interp_rho = interp2d(rhos, A_threshs, u_ts_new.T)\n", + "ut_interp_rho = interp2d(rhos, A_threshs, u_ts_new.T)\n", "\n", - "# with open('../LensCalcPy/interpolations/ut_interp_rho.pkl', 'wb') as f:\n", - "# pickle.dump(ut_interp_rho, f)\n" + "with open('../LensCalcPy/interpolations/ut_interp_rho.pkl', 'wb') as f:\n", + " pickle.dump(ut_interp_rho, f)\n" ] }, { "cell_type": "code", - "execution_count": 40, + "execution_count": 17, "metadata": {}, "outputs": [], "source": [ @@ -465,24 +501,59 @@ }, { "cell_type": "code", - "execution_count": 41, + "execution_count": 18, "metadata": {}, "outputs": [ { - "ename": "TypeError", - "evalue": "__call__() takes 2 positional arguments but 3 were given", - "output_type": "error", - "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[0;31mTypeError\u001b[0m Traceback (most recent call last)", - "\u001b[0;32m/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_8354/2914777924.py\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mplot\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mrhos\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mut_interp_rho\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mrhos\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;36m1.34\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 2\u001b[0m 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"/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_79403/99039085.py:1: DeprecationWarning: `interp2d` is deprecated!\n", + " `interp2d` is deprecated in SciPy 1.10 and will be removed in SciPy 1.13.0.\n", + "\n", + " For legacy code, nearly bug-for-bug compatible replacements are\n", + " `RectBivariateSpline` on regular grids, and `bisplrep`/`bisplev` for\n", + " scattered 2D data.\n", + "\n", + " In new code, for regular grids use `RegularGridInterpolator` instead.\n", + " For scattered data, prefer `LinearNDInterpolator` or\n", + " `CloughTocher2DInterpolator`.\n", + "\n", + " For more details see\n", + " `https://scipy.github.io/devdocs/notebooks/interp_transition_guide.html`\n", + "\n", + " plt.plot(rhos, ut_interp_rho(rhos, 1.34))\n", + "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_79403/99039085.py:2: DeprecationWarning: `interp2d` is deprecated!\n", + " `interp2d` is deprecated in SciPy 1.10 and will be removed in SciPy 1.13.0.\n", + "\n", + " For legacy code, nearly bug-for-bug compatible replacements are\n", + " `RectBivariateSpline` on regular grids, and `bisplrep`/`bisplev` for\n", + " scattered 2D data.\n", + "\n", + " In new code, for regular grids use `RegularGridInterpolator` instead.\n", + " For scattered data, prefer `LinearNDInterpolator` or\n", + " `CloughTocher2DInterpolator`.\n", + "\n", + " For more details see\n", + " `https://scipy.github.io/devdocs/notebooks/interp_transition_guide.html`\n", + "\n", + " plt.plot(rhos, ut_interp_rho(rhos, 1.1))\n" ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" } ], "source": [ "plt.plot(rhos, ut_interp_rho(rhos, 1.34))\n", - "plt.plot(rhos, ut_interp_rho(rhos, 1.01))\n", + "plt.plot(rhos, ut_interp_rho(rhos, 1.1))\n", "\n", "plt.xlabel(r'$\\rho$')\n", "plt.ylabel(r'$u_t$')\n", diff --git a/nbs/08_galaxy.ipynb b/nbs/08_galaxy.ipynb index 3eedeba..9c92fbc 100644 --- a/nbs/08_galaxy.ipynb +++ b/nbs/08_galaxy.ipynb @@ -31,7 +31,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 1, "metadata": {}, "outputs": [], "source": [ @@ -50,7 +50,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ @@ -60,7 +60,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 3, "metadata": {}, "outputs": [], "source": [ @@ -95,7 +95,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 4, "metadata": {}, "outputs": [], "source": [ @@ -214,7 +214,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 5, "metadata": {}, "outputs": [], "source": [ @@ -277,7 +277,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 6, "metadata": {}, "outputs": [], "source": [ @@ -287,7 +287,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 7, "metadata": {}, "outputs": [], "source": [ @@ -296,12 +296,12 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 18, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -316,7 +316,7 @@ "\n", "# Calculate the density values for each component\n", "rho_total_arr = [mw_model.density_stars(i) for i in d_arr]\n", - "rho_bulge_arr = [mw_model.rho_bulge(i) for i in d_arr]\n", + "rho_bulge_arr = [mw_model.rho_bulge(mw_model.dist_center(d_arr[i], l=l, b=b), z_arr[i]) for i in range(len(d_arr))]\n", "rho_thin_arr = [mw_model.rho_thin(mw_model.dist_center(d_arr[i], l=l, b=b), z_arr[i]) for i in range(len(d_arr))]\n", "rho_thick_arr = [mw_model.rho_thick(mw_model.dist_center(d_arr[i], l=l, b=b), z_arr[i]) for i in range(len(d_arr))]\n", "rho_dm_arr = [mw_model.density_dm(d_arr[i]) for i in range(len(d_arr))]\n", @@ -461,7 +461,15 @@ "name": "python3" }, "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", "version": "3.9.7" } }, From ec15385d4fa11b5a9511ebcb6c73f706b4b614fb Mon Sep 17 00:00:00 2001 From: Nolan Smyth Date: Thu, 2 Nov 2023 11:11:55 -0700 Subject: [PATCH 04/17] Refactoring Integrals --- LensCalcPy/_modidx.py | 6 + LensCalcPy/ffp.py | 153 +- LensCalcPy/galaxy.py | 15 + LensCalcPy/interpolations/ut_interp_rho.pkl | Bin 132435 -> 198037 bytes LensCalcPy/pbh.py | 248 +-- LensCalcPy/utils.py | 10 +- examples/expected_events_tess.ipynb | 383 ++++- examples/hsc_pbh.ipynb | 83 +- examples/hsc_ubo.ipynb | 201 ++- examples/mock_roman.ipynb | 1650 +++++++++++++----- examples/roman_figures.ipynb | 26 +- examples/t_e_samples.ipynb | 53 +- examples/tesstimates.ipynb | 288 ++++ nbs/00_pbh.ipynb | 1693 +++++++++++++++++-- nbs/01_ffp.ipynb | 761 ++++++++- nbs/04_utils.ipynb | 40 +- nbs/08_galaxy.ipynb | 51 +- 17 files changed, 4696 insertions(+), 965 deletions(-) create mode 100644 examples/tesstimates.ipynb diff --git a/LensCalcPy/_modidx.py b/LensCalcPy/_modidx.py index c3ec416..1d6680d 100644 --- a/LensCalcPy/_modidx.py +++ b/LensCalcPy/_modidx.py @@ -50,11 +50,14 @@ 'LensCalcPy/galaxy.py'), 'LensCalcPy.galaxy.M31Model.dist_center': ('galaxy.html#m31model.dist_center', 'LensCalcPy/galaxy.py'), 'LensCalcPy.galaxy.M31Model.einasto': ('galaxy.html#m31model.einasto', 'LensCalcPy/galaxy.py'), + 'LensCalcPy.galaxy.M31Model.mass_dm': ('galaxy.html#m31model.mass_dm', 'LensCalcPy/galaxy.py'), 'LensCalcPy.galaxy.M31Model.rho_bulge': ('galaxy.html#m31model.rho_bulge', 'LensCalcPy/galaxy.py'), 'LensCalcPy.galaxy.M31Model.rho_disk': ('galaxy.html#m31model.rho_disk', 'LensCalcPy/galaxy.py'), 'LensCalcPy.galaxy.M31Model.rho_nucleus': ('galaxy.html#m31model.rho_nucleus', 'LensCalcPy/galaxy.py'), 'LensCalcPy.galaxy.M31Model.velocity_dispersion_dm': ( 'galaxy.html#m31model.velocity_dispersion_dm', 'LensCalcPy/galaxy.py'), + 'LensCalcPy.galaxy.M31Model.velocity_dispersion_nfw': ( 'galaxy.html#m31model.velocity_dispersion_nfw', + 'LensCalcPy/galaxy.py'), 'LensCalcPy.galaxy.M31Model.velocity_dispersion_stars': ( 'galaxy.html#m31model.velocity_dispersion_stars', 'LensCalcPy/galaxy.py'), 'LensCalcPy.galaxy.MilkyWayModel': ('galaxy.html#milkywaymodel', 'LensCalcPy/galaxy.py'), @@ -70,6 +73,7 @@ 'LensCalcPy.galaxy.MilkyWayModel.fE': ('galaxy.html#milkywaymodel.fe', 'LensCalcPy/galaxy.py'), 'LensCalcPy.galaxy.MilkyWayModel.get_primed_coords': ( 'galaxy.html#milkywaymodel.get_primed_coords', 'LensCalcPy/galaxy.py'), + 'LensCalcPy.galaxy.MilkyWayModel.mass_dm': ('galaxy.html#milkywaymodel.mass_dm', 'LensCalcPy/galaxy.py'), 'LensCalcPy.galaxy.MilkyWayModel.rho_bulge': ( 'galaxy.html#milkywaymodel.rho_bulge', 'LensCalcPy/galaxy.py'), 'LensCalcPy.galaxy.MilkyWayModel.rho_thick': ( 'galaxy.html#milkywaymodel.rho_thick', @@ -79,6 +83,8 @@ 'LensCalcPy.galaxy.MilkyWayModel.rsf': ('galaxy.html#milkywaymodel.rsf', 'LensCalcPy/galaxy.py'), 'LensCalcPy.galaxy.MilkyWayModel.velocity_dispersion_dm': ( 'galaxy.html#milkywaymodel.velocity_dispersion_dm', 'LensCalcPy/galaxy.py'), + 'LensCalcPy.galaxy.MilkyWayModel.velocity_dispersion_nfw': ( 'galaxy.html#milkywaymodel.velocity_dispersion_nfw', + 'LensCalcPy/galaxy.py'), 'LensCalcPy.galaxy.MilkyWayModel.velocity_dispersion_stars': ( 'galaxy.html#milkywaymodel.velocity_dispersion_stars', 'LensCalcPy/galaxy.py'), 'LensCalcPy.galaxy.MilkyWayModel.zthin': ('galaxy.html#milkywaymodel.zthin', 'LensCalcPy/galaxy.py')}, diff --git a/LensCalcPy/ffp.py b/LensCalcPy/ffp.py index d5786f5..742e2e9 100644 --- a/LensCalcPy/ffp.py +++ b/LensCalcPy/ffp.py @@ -126,44 +126,86 @@ def differential_rate_integrand(self, umin, d, t, mf, model, finite=False, v_dis 1) def differential_rate(self, t, integrand_func, finite=False, epsabs = 1.49e-08, epsrel = 1.49e-08): - #rewrite using tplquad? - num = 40 # number of discretization points, empirically, result levels off for >~ 40 - mf_values = np.linspace(np.log10(self.m_min), np.log10(self.m_max), num=num) - - result = 0 - for i in range(num): - mf = mf_values[i] - if i == 0: # for the first point - dm = mf_values[i+1] - mf_values[i] - elif i < num - 1: # for middle points - dm = ((mf_values[i+1] - mf_values[i]) + (mf_values[i] - mf_values[i-1])) / 2 - else: # for the last point - dm = mf_values[i] - mf_values[i-1] + # #rewrite using tplquad? + # num = 40 # number of discretization points, empirically, result levels off for >~ 40 + # mf_values = np.linspace(np.log10(self.m_min), np.log10(self.m_max), num=num) + + # result = 0 + # for i in range(num): + # mf = mf_values[i] + # if i == 0: # for the first point + # dm = mf_values[i+1] - mf_values[i] + # elif i < num - 1: # for middle points + # dm = ((mf_values[i+1] - mf_values[i]) + (mf_values[i] - mf_values[i-1])) / 2 + # else: # for the last point + # dm = mf_values[i] - mf_values[i-1] + # if finite: + # single_result, error = dblquad(integrand_func, + # # 0, 10, + # 0, self.d_upper_bound(10**mf), + # lambda d: 0, + # lambda d: self.umin_upper_bound(d, 10**mf), + # args=(10**mf, t), + # epsabs=epsabs, + # epsrel=epsrel, + # ) + # else: + # single_result, error = dblquad(integrand_func, + # #Without finite size effects, integral blows up at M31 center + # 0, self.ds, + # lambda d: 0, + # lambda d: self.u_t, + # args=(10**mf, t), + # epsabs=epsabs, + # epsrel=epsrel, + # ) + + # result += single_result * ((10**mf/1) ** -self.p) * dm # multiply by mass function and by dlogm. This is for dN/dlogM + + # result *= self.Z # normalization + # return result + + + def inner_integrand(u, d, m): + return integrand_func(u, d, m, t) + + # Second integral (over u) - bounds given by d + def second_integral(d, m): + point = self.sticking_point(m) + if finite: - single_result, error = dblquad(integrand_func, - # 0, 10, - 0, self.d_upper_bound(10**mf), - lambda d: 0, - lambda d: self.umin_upper_bound(d, 10**mf), - args=(10**mf, t), - epsabs=epsabs, - epsrel=epsrel, - ) + u_min, u_max = 0, self.umin_upper_bound(d, m) else: - single_result, error = dblquad(integrand_func, - #Without finite size effects, integral blows up at M31 center - 0, self.ds, - lambda d: 0, - lambda d: self.u_t, - args=(10**mf, t), - epsabs=epsabs, - epsrel=epsrel, - ) + u_min, u_max = 0, self.u_t + + result, error = quad(inner_integrand, u_min, u_max, args=(d, m), epsabs=epsabs, epsrel=epsrel, points=[point]) + + return result - result += single_result * ((10**mf/1) ** -self.p) * dm # multiply by mass function and by dlogm. This is for dN/dlogM + # Third integral (over d) + def third_integral(m): + if finite: + d_min, d_max = 0, self.d_upper_bound(m) + else: + d_min, d_max = 0, self.ds + + result, error = quad(second_integral, d_min, d_max, args=(m,), epsabs=epsabs, epsrel=epsrel) + return result + + # Outermost integral (over m in log scale) + def integrand_logm(logm): + m = 10**logm + result = third_integral(m) + return result * ((m/self.M_norm) ** -self.p) # multiply by mass function. This is for dN/dlogM + + logm_min = np.log10(self.m_min) + logm_max = np.log10(self.m_max) + + result, error = quad(integrand_logm, logm_min, logm_max, epsabs=epsabs, epsrel=epsrel) result *= self.Z # normalization return result + def differential_rate_mw(self, t, finite=True, v_disp=None, t_e=False, epsabs = 1.49e-08, epsrel = 1.49e-08, tmax=np.inf, tmin=0): def integrand_func(umin, d, mf, t): @@ -177,7 +219,7 @@ def integrand_func(umin, d, mf, t): def differential_rate_mw_mass(self, m, finite=True, v_disp=None, tcad=0.07, tobs=3, epsabs = 1.49e-08, epsrel = 1.49e-08, efficiency=None, monochromatic=False): def integrand_func(umin, d, t, mf): - return self.differential_rate_integrand(umin, d, t, mf, self.mw_model, finite=finite) + return self.differential_rate_integrand(umin, d, t, mf, self.mw_model, finite=finite, v_disp=v_disp) return self.differential_rate_mass(m, integrand_func, finite=finite, tcad=tcad, tobs=tobs, epsabs = epsabs, epsrel = epsrel, efficiency=efficiency, monochromatic=monochromatic) def differential_rate_m31_mass(self, m, finite=True, v_disp=None, tcad=0.07, tobs=3, epsabs = 1.49e-08, epsrel = 1.49e-08, efficiency=None, monochromatic=False): @@ -216,29 +258,38 @@ def differential_rate_mass(self, m, integrand_func, finite=True, tcad=0.07, tobs if efficiency is None: def efficiency(t): return 1 - + point = self.sticking_point(m) - def integrand(t, d, m, finite): + def inner_integrand(u, d, t, m): + return integrand_func(u, d, t, m) * efficiency(t) + + # Second integral (over u) - bounds given by d + def second_integral(d, t, m): if finite: - u_bounds = [0, self.umin_upper_bound(d, m)] + u_min, u_max = 0, self.umin_upper_bound(d, m)[0] else: - u_bounds = [0, self.u_t] - u_result, _ = nquad(integrand_func, [u_bounds], args=(d, t, m)) - return u_result * efficiency(t) - - bounds_t = [tcad, tobs] - - if finite: - bounds_d = [0, self.d_upper_bound(m)] - else: - bounds_d = [0, self.ds] - - opts = {"epsabs": epsabs, "epsrel": epsrel, "points":[point, self.ds]} - - result, error = nquad(integrand, [bounds_t, bounds_d], args=(m, finite), opts=opts) + u_min, u_max = 0, self.u_t + result, error = quad(inner_integrand, u_min, u_max, args=(d, t, m), epsabs=epsabs, epsrel=epsrel, points=[point]) + return result + + # Third integral (over d) + def third_integral(t, m): + if finite: + d_min, d_max = 0, self.d_upper_bound(m) + else: + d_min, d_max = 0, self.ds + result, error = quad(second_integral, d_min, d_max, args=(t, m), epsabs=epsabs, epsrel=epsrel) + return result + + # Outermost integral (over t) + t_min = tcad + t_max = tobs + result, error = quad(third_integral, t_min, t_max, args=(m,), epsabs=epsabs, epsrel=epsrel) + if monochromatic: return result - return result*self.f_m(m) + return result * self.f_m(m) + diff --git a/LensCalcPy/galaxy.py b/LensCalcPy/galaxy.py index 09f9e47..884cb47 100644 --- a/LensCalcPy/galaxy.py +++ b/LensCalcPy/galaxy.py @@ -152,6 +152,13 @@ def velocity_dispersion_stars(self, r, v_c: float = 30): def velocity_dispersion_dm(self, r, v_c: float = 220): return v_c + + def mass_dm(self, r): + c = r / rs + return 4 * np.pi * rhoc * rs**3 * (np.log(1 + c) - c / (1 + c)) + + def velocity_dispersion_nfw(self, r): + return np.sqrt(G * self.mass_dm(r) / r) # %% ../nbs/08_galaxy.ipynb 7 @@ -208,3 +215,11 @@ def velocity_dispersion_stars(self, r, v_c: float = 60) -> float: def velocity_dispersion_dm(self, r, v_c: float = 250): return v_c + + def mass_dm(self, r): + c = r/rsM31 + return 4 * np.pi * rhocM31 * rsM31**3 * (np.log(1 + c) - c / (1 + c)) + + def velocity_dispersion_nfw(self, r): + return np.sqrt(G * self.mass_dm(r) / r) + diff --git a/LensCalcPy/interpolations/ut_interp_rho.pkl b/LensCalcPy/interpolations/ut_interp_rho.pkl index f7ba08505c478dd2044828c9f13cadd98723ae01..aea873c6cabb39c95049385ed68da0b9926df993 100644 GIT binary patch literal 198037 zcmZsDd032Z^!LoP@0+51Pb#4(gmV`yq@5&drA1lNCT&V7v{GmzTcT9Tk|mWETSBU@BQPQ>$yDFF!%G!oadbL`JB%=w`Ae7EmDMkuPm*|fW6^I%=aFM 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zFYN?L2E8xFFeq{X~&7>=?7-fUySoc7kEE~w? zOZxa{<9W7wWH|7tY28sVOv=P4jfxsIccnm z{K)zZzmF*Jwc&tTQ1L-xt4p;Eepp`kfy=9h+Xkfh`O2RIltpeq{YpP3u>$yTXA*6_yA6 zy^$YTzdciJbg4cLDA>GiZ1qEaWc?;jt_(b!4l+0)=ywOXLM|U3&Dx) zp}KF-`Wsol7*(@7>C;@Wzm;kFtPS~*_4_=&zR5m5KNk6Y_8|LeGFhs|}{BvtE7akLC5q=!y5i0bBKSPEe pH%<5}6!z%@K8Cb+X0%T(fAcv@6#9Qw;NKPcN)Jwc3I%)W{SPze$bkR= diff --git a/LensCalcPy/pbh.py b/LensCalcPy/pbh.py index 784c1f6..55ff5c1 100644 --- a/LensCalcPy/pbh.py +++ b/LensCalcPy/pbh.py @@ -11,12 +11,12 @@ import numpy as np import matplotlib.pyplot as plt -from scipy.integrate import nquad, dblquad -from scipy.optimize import minimize_scalar +from scipy.integrate import nquad, dblquad, tplquad +from scipy.optimize import minimize_scalar, fsolve, brentq from scipy.integrate import quad -from scipy.interpolate import interp1d, interp2d +from scipy.interpolate import interp1d, interp2d, RegularGridInterpolator from tqdm import tqdm # from multiprocessing import Pool from pathos.multiprocessing import ProcessingPool as Pool @@ -26,7 +26,7 @@ from fastcore.test import * -# %% ../nbs/00_pbh.ipynb 5 +# %% ../nbs/00_pbh.ipynb 16 class Pbh(Lens): """A class to represent a PBH population""" @@ -79,8 +79,7 @@ def mass_function(self, m): raise ValueError("Lognormal mass function not initialized") return 1 / (m * self.sigma * np.sqrt(2 * np.pi)) * np.exp(-(np.log(m/self.mass))**2 / (2 * self.sigma**2)) - def differential_rate_integrand(self, umin, d, t, model, finite=False, v_disp=None, t_e = False, tmax=np.inf, tmin=0): - # def differential_rate_integrand(self, umin, d, t, mf, model, finite=False, v_disp=None, t_e = False, tmax=np.inf, tmin=0): + def differential_rate_integrand(self, umin, d, t, model, finite=False, v_disp=None, t_e = False, tmax=np.inf, tmin=0, t_fwhm=False): r = model.dist_center(d, self.l, self.b) ut = self.umin_upper_bound(d) if finite else self.u_t @@ -92,12 +91,23 @@ def differential_rate_integrand(self, umin, d, t, model, finite=False, v_disp=No t_duration = max(ut, self.umin_upper_bound(d)) * 2 * einstein_rad(d, self.mass) * kpctokm / v_rad / htosec #event duration in hours if t_duration > tmax or t_duration < tmin: - return 0 + return 0 + elif t_fwhm: + # if finite: + # t_E = t_E_from_t_fwhm_finite(t, umin, rho_func(self.mass, d, self.ds)) + # else: + # t_E = t_E_from_t_fwhm(t, umin) + t_E = t_e_from_fwhm(t, umin, finite, rho_func(self.mass, d, self.ds), ut) + # t_E = t_e_from_fwhm(t, umin, True, rho_func(self.mass, d, self.ds), ut) + + v_rad = einstein_rad(d, self.mass, self.ds) * kpctokm / (t_E * htosec) else: #Calculate radial velocity in terms of event duration (t_fwhm) v_rad = velocity_radial(d, self.mass, umin, t * htosec, ut) if v_disp is None: v_disp = model.velocity_dispersion_dm(r) + # v_disp = model.velocity_dispersion_nfw(r) + return 2 * (1 / (ut**2 - umin**2)**0.5 * model.density_dm(d, self.l, self.b) / (self.mass * v_disp**2) * v_rad**4 * (htosec / kpctokm)**2 * @@ -110,54 +120,100 @@ def differential_rate_integrand_mw(self, umin, d, t, finite=False): def differential_rate_integrand_m31(self, umin, d, t, finite=False): return self.differential_rate_integrand(umin, d, t, self.m31_model, finite=finite) - def differential_rate(self, t, integrand_func, finite=False): - if finite: - result, error = dblquad(integrand_func, - 0, self.d_upper_bound(), - lambda d: 0, - lambda d: self.umin_upper_bound(d), - args=[t], - epsabs=0, - epsrel=1e-1, - ) - else: - result, error = dblquad(integrand_func, - #Without finite size effects, integral blows up at M31 center - 0, self.ds*0.99, - lambda d: 0, - lambda d: self.u_t, - args=[t], - epsabs=0, - epsrel=1e-1, - ) + def differential_rate(self, t, integrand_func, finite=False, epsabs=1.49e-08, epsrel=1.49e-08): + # if finite: + # result, error = dblquad(integrand_func, + # 0, self.d_upper_bound(), + # lambda d: 0, + # lambda d: self.umin_upper_bound(d), + # args=[t], + # epsabs=0, + # epsrel=1e-1, + # ) + # else: + # result, error = dblquad(integrand_func, + # #Without finite size effects, integral blows up at M31 center + # 0, self.ds*0.99, + # # 0, self.d_upper_bound(), + # lambda d: 0, + # lambda d: self.u_t, + # args=[t], + # epsabs=0, + # epsrel=1e-1, + # ) + # return result + + def inner_integrand(u, d, t): + return integrand_func(u, d, t) + + # Second integral (over u) - bounds given by d + def second_integral(d, t): + if finite: + u_min, u_max = 0, self.umin_upper_bound(d)[0] + else: + u_min, u_max = 0, self.u_t + + result, error = quad(inner_integrand, u_min, u_max, args=(d, t), epsabs=epsabs, epsrel=epsrel) + + return result + + # Outermost integral (over d) + d_min, d_max = 0, self.d_upper_bound() if finite else self.ds + result, error = quad(second_integral, d_min, d_max, args=(t,), epsabs=epsabs, epsrel=epsrel) return result def rate_total(self, integrand_func, finite=True, tcad=0.07, tobs=3, epsabs = 1.49e-08, epsrel = 1.49e-08, efficiency=None): - if efficiency is None: - def efficiency(t): - return 1 + # if efficiency is None: + # def efficiency(t): + # return 1 - point = self.sticking_point() + # point = self.sticking_point() - def integrand(t, d, finite): - if finite: - u_bounds = [0, self.umin_upper_bound(d)] - else: - u_bounds = [0, self.u_t] - u_result, _ = nquad(integrand_func, [u_bounds], args=(d, t)) - return u_result * efficiency(t) + # def integrand(t, d, finite): + # if finite: + # u_bounds = [0, self.umin_upper_bound(d)] + # else: + # u_bounds = [0, self.u_t] + # u_result, _ = nquad(integrand_func, [u_bounds], args=(d, t)) + # return u_result * efficiency(t) - bounds_t = [tcad, tobs] + # bounds_t = [tcad, tobs] - if finite: - bounds_d = [0, min(self.d_upper_bound(), self.ds)] - else: - bounds_d = [0, self.ds] + # if finite: + # bounds_d = [0, min(self.d_upper_bound(), self.ds)] + # else: + # bounds_d = [0, self.ds] + + # opts = {"epsabs": epsabs, "epsrel": epsrel, "points":[point, self.ds]} - opts = {"epsabs": epsabs, "epsrel": epsrel, "points":[point, self.ds]} + # result, error = nquad(integrand, [bounds_t, bounds_d], args=[finite], opts=opts) + # return result + + # Innermost double integral + def inner_integrand(u, d, t): + return integrand_func(u, d, t) + + # Second integral (over u) - bounds given by d + def second_integral(d, t): + if finite: + u_min, u_max = 0, self.umin_upper_bound(d)[0] + else: + u_min, u_max = 0, self.u_t + + result, error = quad(inner_integrand, u_min, u_max, args=(d, t), epsabs=epsabs, epsrel=epsrel) - result, error = nquad(integrand, [bounds_t, bounds_d], args=[finite], opts=opts) + return result + + # Outermost integral (over d) + def outer_integral(t): + d_min, d_max = 0, self.d_upper_bound() if finite else self.ds + result, error = quad(second_integral, d_min, d_max, args=(t,), epsabs=epsabs, epsrel=epsrel) + # return result * self.mass_function(mf) * mf * np.log(10) # multiply by mass function and by dlogm * m + return result + + # Integrate over time + result, error = quad(outer_integral, tcad, tobs, epsabs=epsabs, epsrel=epsrel) return result @@ -171,8 +227,10 @@ def d_upper_bound(self, m=None): return d return self.ds - def rate_mw(self, finite=False, tcad = 0.07, tobs = 3): - return self.rate_total(self.differential_rate_integrand_mw, finite=finite, tcad=tcad, tobs=tobs) + def rate_mw(self, finite=False, tcad = 0.07, tobs = 3, efficiency=None, epsabs = 1.49e-08, epsrel = 1.49e-08): + def integrand_func(umin, d, t): + return self.differential_rate_integrand_mw(umin, d, t, finite=finite,) + return self.rate_total(integrand_func, finite=finite, tcad=tcad, tobs=tobs, efficiency=efficiency, epsabs=epsabs, epsrel=epsrel) def rate_m31(self, finite=False): result = self.rate_total(self.differential_rate_integrand_m31, finite=finite) @@ -184,14 +242,14 @@ def rate_m31(self, finite=False): def rate_tot(self, finite=False): return self.rate_mw(finite=finite) + self.rate_m31(finite=finite) - def differential_rate_mw(self, t, finite=True, v_disp=None, t_e=False, tmax=np.inf, tmin=0): + def differential_rate_mw(self, t, finite=True, v_disp=None, t_e=False, tmax=np.inf, tmin=0, t_fwhm=False): def integrand_func(umin, d, t): - return self.differential_rate_integrand(umin, d, t, self.mw_model, finite=finite, v_disp=v_disp, t_e = t_e, tmax=tmax, tmin=tmin) + return self.differential_rate_integrand(umin, d, t, self.mw_model, finite=finite, v_disp=v_disp, t_e = t_e, tmax=tmax, tmin=tmin, t_fwhm=t_fwhm) return self.differential_rate(t, integrand_func, finite=finite) - def differential_rate_m31(self, t, finite=True, v_disp=None): + def differential_rate_m31(self, t, finite=True, v_disp=None, t_fwhm=False): def integrand_func(umin, d, t): - return self.differential_rate_integrand(umin, d, t, self.m31_model, finite=finite, v_disp=v_disp) + return self.differential_rate_integrand(umin, d, t, self.m31_model, finite=finite, v_disp=v_disp, t_fwhm=t_fwhm) return self.differential_rate(t, integrand_func, finite=finite) def umin_upper_bound(self, d, m=None): @@ -213,46 +271,6 @@ def sticking_point(self): return result.x[0] if isinstance(result.x, (list, np.ndarray)) else result.x else: return self.ds - - def differential_rate_lognorm(self, t, integrand_func, finite=False, epsabs = 1.49e-08, epsrel = 1.49e-08): - #rewrite using tplquad? - num = 20 # number of discretization points, empirically, result levels off for >~ 40 - mf_values = np.linspace(np.log10(self.mass)-2, np.log10(self.mass)+2, num=num) - - result = 0 - for i in range(num): - mf = mf_values[i] - if i == 0: # for the first point - dm = mf_values[i+1] - mf_values[i] - elif i < num - 1: # for middle points - dm = ((mf_values[i+1] - mf_values[i]) + (mf_values[i] - mf_values[i-1])) / 2 - else: # for the last point - dm = mf_values[i] - mf_values[i-1] - - if finite: - single_result, error = dblquad(integrand_func, - # 0, 10, - 0, self.d_upper_bound(10**mf), - lambda d: 0, - lambda d: self.umin_upper_bound(d, 10**mf), - args=(10**mf, t), - epsabs=epsabs, - epsrel=epsrel, - ) - else: - single_result, error = dblquad(integrand_func, - #Without finite size effects, integral blows up at M31 center - 0, self.ds, - lambda d: 0, - lambda d: self.u_t, - args=(10**mf, t), - epsabs=epsabs, - epsrel=epsrel, - ) - - # result += single_result * ((10**mf/1) ** -self.p) * dm # multiply by mass function and by dlogm. This is for dN/dlogM - result += single_result * self.mass_function(10**mf) * dm * 10**mf # multiply by mass function and by dlogm * m. - return result def differential_rate_integrand_lognorm(self, umin, d, t, mf, model, finite=False, v_disp=None, t_e = False, tmax=np.inf, tmin=0): @@ -260,18 +278,56 @@ def differential_rate_integrand_lognorm(self, umin, d, t, mf, model, finite=Fals ut = self.umin_upper_bound(d) if finite else self.u_t if ut <= umin: return 0 - else: - #Calculate radial velocity in terms of event duration (t_fwhm) - v_rad = velocity_radial(d, mf, umin, t * htosec, ut) + + #Calculate radial velocity in terms of event duration + v_rad = velocity_radial(d, mf, umin, t * htosec, ut) if v_disp is None: v_disp = model.velocity_dispersion_dm(r) + # if v_rad/v_disp > 10: + # return 0 return 2 * (1 / (ut**2 - umin**2)**0.5 * model.density_dm(d, self.l, self.b) / (mf * v_disp**2) * v_rad**4 * (htosec / kpctokm)**2 * np.exp(-(v_rad**2 / v_disp**2)) * 1) - def differential_rate_mw_lognorm(self, t, finite=True, v_disp=None, t_e=False, tmax=np.inf, tmin=0): + def differential_rate_lognorm(self, t, integrand_func, finite=False, epsabs=1.49e-08, epsrel=1.49e-08): + + # Innermost double integral + def inner_integrand(u, d, mf, t): + return integrand_func(u, d, mf, t) + + # Second integral (over u) - bounds given by d + def second_integral(d, mf, t): + if finite: + u_min, u_max = 0, self.umin_upper_bound(d, mf)[0] + else: + u_min, u_max = 0, self.u_t + + if 2/3 * u_max**2 < self.mw_model.velocity_dispersion_dm(self.mw_model.dist_center(d, self.l, self.b))**2: + local_max = u_max + else: + local_max = 1.22* (2/3*u_max**2 - self.mw_model.velocity_dispersion_dm(self.mw_model.dist_center(d, self.l, self.b))**2)**(1/2) + + # result, error = quad(inner_integrand, u_min, u_max, args=(d, mf, t), epsabs=epsabs, epsrel=epsrel, points=[0, u_max/2, 1], limit=3) + result, error = quad(inner_integrand, u_min, u_max, args=(d, mf, t), epsabs=epsabs, epsrel=epsrel, points=[local_max]) + + return result + + # Outermost integral (over d) + def outer_integral(mf, t): + d_min, d_max = 0, self.d_upper_bound(mf) if finite else self.ds + result, error = quad(second_integral, d_min, d_max, args=(mf, t), epsabs=epsabs, epsrel=epsrel) + # return result * self.mass_function(mf) * mf * np.log(10) # multiply by mass function and by dlogm * m + return result * self.mass_function(mf) + + # Integrate over mass + mf_min, mf_max = 10**(np.log10(self.mass) - 3 * self.sigma), 10**(np.log10(self.mass) + 3 * self.sigma) + result, error = quad(outer_integral, mf_min, mf_max, args=(t,), epsabs=epsabs, epsrel=epsrel) + + return result + + def differential_rate_mw_lognorm(self, t, finite=True, v_disp=None, t_e=False, tmax=np.inf, tmin=0, epsabs = 1.49e-08, epsrel = 1.49e-08): def integrand_func(umin, d, mf, t): return self.differential_rate_integrand_lognorm(umin, d, t, mf, self.mw_model, finite=finite, v_disp=v_disp, t_e = t_e, tmax=tmax, tmin=tmin) - return self.differential_rate_lognorm(t, integrand_func, finite=finite) + return self.differential_rate_lognorm(t, integrand_func, finite=finite, epsabs = epsabs, epsrel = epsrel) diff --git a/LensCalcPy/utils.py b/LensCalcPy/utils.py index 12248ba..21fc08d 100644 --- a/LensCalcPy/utils.py +++ b/LensCalcPy/utils.py @@ -255,16 +255,16 @@ def calc_ut_arr(m): #Ratio of angular extent of source and lens in plane of lens # rho == theta_s/theta_l rho_min = 0.1 -rho_max = 4.5 -# rho_max = 10.1 +# rho_max = 4.5 +rho_max = 14.2 -# rhos = np.linspace(rho_min, rho_max, 100) -rhos = np.linspace(rho_min, rho_max, 40) +rhos = np.linspace(rho_min, rho_max, 300) +# rhos = np.linspace(rho_min, rho_max, 40) A_thresh_min = 1.01 A_thresh_max = 1.34 -A_threshs = np.linspace(A_thresh_min, A_thresh_max, 20) +A_threshs = np.linspace(A_thresh_min, A_thresh_max, 40) # %% ../nbs/04_utils.ipynb 15 diff --git a/examples/expected_events_tess.ipynb b/examples/expected_events_tess.ipynb index 80b0c32..d430a15 100644 --- a/examples/expected_events_tess.ipynb +++ b/examples/expected_events_tess.ipynb @@ -9,18 +9,9 @@ }, { "cell_type": "code", - "execution_count": 374, + "execution_count": 3, "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "The autoreload extension is already loaded. To reload it, use:\n", - " %reload_ext autoreload\n" - ] - } - ], + "outputs": [], "source": [ "from LensCalcPy.survey import *\n", "from LensCalcPy.ffp import *\n", @@ -2109,7 +2100,21 @@ "name": "stderr", "output_type": "stream", "text": [ - " 0%| | 0/62 [00:00\u001b[0;34m\u001b[0m\n\u001b[1;32m 118\u001b[0m \u001b[0max\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mtext\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m0.5\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;36m0.05\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m\"Micro-lensing\"\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mva\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m\"bottom\"\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mha\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m\"center\"\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mcolor\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m'C0'\u001b[0m\u001b[0;34m,\u001b[0m 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", 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", "text/plain": [ - "
" + "
" ] }, "metadata": {}, @@ -2333,7 +2327,7 @@ "#Plotting stuff\n", "plt.axhspan(1, 1.5, facecolor='grey', alpha=0.5)\n", " \n", - "plt.ylim(1e-3, 1.5)\n", + "plt.ylim(1e-3, 1)\n", "\n", "xmin = 1e-12\n", "xmax = 1e4\n", @@ -2345,14 +2339,14 @@ "ax.set_xticks(ticks_minor,minor=True)\n", "ax.set_xticklabels([], minor=True)\n", " \n", - "ax.set_xlabel(r'$M_\\mathrm{CO}$ [$M_\\odot$]')\n", - "plt.ylabel(r'$f_\\mathrm{CO} = \\Omega_\\mathrm{CO}/\\Omega_\\mathrm{DM}$')\n", + "ax.set_xlabel(r'$M_\\mathrm{PBH}$ [$M_\\odot$]')\n", + "plt.ylabel(r'$f_\\mathrm{PBH} = \\Omega_\\mathrm{PBH}/\\Omega_\\mathrm{DM}$')\n", "\n", - "ax_top = ax.twiny()\n", - "ax_top.xaxis.tick_top()\n", - "ax_top.set_xscale('log')\n", - "ax_top.set_xlim(ax.get_xlim())\n", - "ax_top.set_xlabel(r'$M_\\mathrm{CO}$ [g]', labelpad=7)\n", + "# ax_top = ax.twiny()\n", + "# ax_top.xaxis.tick_top()\n", + "# ax_top.set_xscale('log')\n", + "# ax_top.set_xlim(ax.get_xlim())\n", + "# ax_top.set_xlabel(r'$M_\\mathrm{CO}$ [g]', labelpad=7)\n", "\n", "g_to_Msun = 1/1.989e+33\n", "\n", @@ -2361,19 +2355,21 @@ "g_ticks = g_ticks_minor[::3]\n", "\n", "\n", - "g_tick_labels = [r\"$10^{\" + str(int(np.log10(x))) +\"}$\" for x in g_ticks]\n", + "# g_tick_labels = [r\"$10^{\" + str(int(np.log10(x))) +\"}$\" for x in g_ticks]\n", "\n", - "ax_top.set_xticks(g_ticks*g_to_Msun)\n", - "ax_top.set_xticklabels(g_tick_labels)\n", - "ax_top.xaxis.set_tick_params(pad=0)\n", + "# ax_top.set_xticks(g_ticks*g_to_Msun)\n", + "# ax_top.set_xticklabels(g_tick_labels)\n", + "# ax_top.xaxis.set_tick_params(pad=0)\n", "\n", - "ax_top.set_xticks(g_ticks_minor*g_to_Msun,minor=True)\n", - "ax_top.set_xticklabels([],minor=True)\n", + "# ax_top.set_xticks(g_ticks_minor*g_to_Msun,minor=True)\n", + "# ax_top.set_xticklabels([],minor=True)\n", "\n", "ax.text(0.5, 0.05, \"Micro-lensing\", va = \"bottom\", ha = \"center\", color='C0', transform=ax.transAxes)\n", "\n", "plt.loglog(ms, 4.47/np.sum(results_pbh, axis=0), 'blue', ls=':')\n", "plt.fill_between(ms, 4.47/np.sum(results_pbh, axis=0), 1, alpha=0.3, color='blue')\n", + "plt.text(2e-7, 2e-2, \"TESS (proj.)\",fontsize=12, ha='center', va='bottom', rotation = 0, color='blue')\n", + "\n", "\n", "# plt.savefig(outfile, bbox_inches='tight')\n", " \n", @@ -2382,6 +2378,7 @@ "headertxt = \"Envelope of microlensing bounds: \" + \", \".join(bounds)\n", "headertxt += \"\\n Columns: PBH mass [Muns], PBH fraction f_PBH\"\n", "# np.savetxt(\"bounds/Microlensing.txt\", np.c_[Mgrid, envelope], header=headertxt)\n", + "# plt.savefig(\"figures/tess_pbh_projections.pdf\", bbox_inches='tight')\n", " \n", "plt.show()" ] @@ -2395,13 +2392,116 @@ }, { "cell_type": "code", - "execution_count": 315, + "execution_count": 372, + "metadata": {}, + "outputs": [], + "source": [ + "import scipy.optimize as opt" + ] + }, + { + "cell_type": "code", + "execution_count": 375, + "metadata": {}, + "outputs": [], + "source": [ + "# Calculate deltab\n", + "deltab = f_func_finite(umin**2, rho)\n", + "\n", + "# Define the function for which we want to find the root\n", + "def objective_function(b, deltab, rho):\n", + " return f_func_finite(b, rho) - 0.5 * deltab\n", + "\n", + "root_result = opt.root_scalar(objective_function, args=(deltab, rho), bracket=[1e-3, 5], method='bisect')\n" + ] + }, + { + "cell_type": "code", + "execution_count": 379, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "2.529443717447655" + ] + }, + "execution_count": 379, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "root_result.root" + ] + }, + { + "cell_type": "code", + "execution_count": 377, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.22908386283730175" + ] + }, + "execution_count": 377, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "deltab" + ] + }, + { + "cell_type": "code", + "execution_count": 378, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.11450878609481174" + ] + }, + "execution_count": 378, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "f_func_finite(2.53, rho)" + ] + }, + { + "cell_type": "code", + "execution_count": 684, "metadata": {}, "outputs": [], "source": [ "def A_ps(u):\n", " return (u**2 + 2) / (u * (u**2 + 4)**(1/2))\n", - " # return 1/u\n", + "\n", + "def f_func(x):\n", + " return (2 + x)/(x*(4+x))**(0.5) - 1\n", + "\n", + "def f_func_finite(u, rho):\n", + " return A_gould(u, rho) - 1\n", + "\n", + "def t_fwhm_gondolo(t_e, umin):\n", + " deltab = f_func(umin**2)\n", + " bw2 = 2* f_func(deltab)\n", + " w_b = 2*(bw2 - umin**2)**(1/2)\n", + " return w_b * t_e\n", + "\n", + "def t_fwhm_gondolo_finite(t_e, umin, rho):\n", + "\n", + " func = lambda b: f_func_finite(b,rho) - f_func_finite(umin**2,rho)*0.5\n", + " bw = opt.fsolve(func,1)[0]\n", + " w_b = 2*(bw**2 - umin**2)**(1/2)\n", + " return w_b * t_e\n", "\n", "def theta_max(u, rho):\n", " if u <= rho:\n", @@ -2416,16 +2516,118 @@ " return A_ps(u) * 4*u / (np.pi * rho) * ellip(theta_max(u, rho), u/rho)\n", "\n", "def u_func(umin, t, t_e):\n", - " return np.sqrt(umin**2 + (t/t_e)**2)" + " return np.sqrt(umin**2 + (t/t_e)**2)\n", + "\n", + "def t_fwhm_point(umin, t_e):\n", + " t_vals = np.linspace(-5*t_e, 5*t_e, 2000)\n", + " A_vals = np.array([A_ps(u_func(umin, t, t_e)) for t in t_vals])\n", + " A_max = np.max(A_vals)\n", + " t_0 = t_vals[np.argmax(A_vals)]\n", + " half_max_indices = np.where(np.isclose(A_vals, A_max/2, atol=0.1))[0]\n", + " t_fwhm = t_vals[half_max_indices[-1]] - t_vals[half_max_indices[0]]\n", + " return t_fwhm\n", + "\n", + "\n", + "def t_fwhm_finite(umin, t_e, rho):\n", + " t_vals = np.linspace(-5*t_e, 5*t_e, 2000)\n", + " A_vals = np.array([A_gould(u_func(umin, t, t_e), rho) for t in t_vals])\n", + " A_max = np.max(A_vals)\n", + " t_0 = t_vals[np.argmax(A_vals)]\n", + " half_max_indices = np.where(np.isclose(A_vals, A_max/2, atol=0.1))[0]\n", + " t_fwhm = t_vals[half_max_indices[-1]] - t_vals[half_max_indices[0]]\n", + " return t_fwhm\n", + "\n", + "def t_duration(umin, ut, t_e, rho):\n", + " return 2* (1 - ((umin + rho)/ut)**2)**(1/2) * t_e * (ut + rho)\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 685, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "1.3675856161211635" + ] + }, + "execution_count": 685, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "A_gould(1.3, 2)" + ] + }, + { + "cell_type": "code", + "execution_count": 686, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "1.999999999999998\n" + ] + } + ], + "source": [ + "umin = 1.2\n", + "deltab = f_func(umin**2)\n", + "bw2 = 2* f_func(deltab)\n", + "print(f_func(umin**2)/f_func(bw2))\n" ] }, { "cell_type": "code", - "execution_count": 364, + "execution_count": 695, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_53774/2359113364.py:30: RuntimeWarning: invalid value encountered in sqrt\n", + " return quad(lambda x: np.sqrt(1 - m**2*np.sin(x)**2), 0, phi)[0]\n", + "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_53774/2359113364.py:30: IntegrationWarning: The occurrence of roundoff error is detected, which prevents \n", + " the requested tolerance from being achieved. The error may be \n", + " underestimated.\n", + " return quad(lambda x: np.sqrt(1 - m**2*np.sin(x)**2), 0, phi)[0]\n", + "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_53774/2359113364.py:30: IntegrationWarning: Extremely bad integrand behavior occurs at some points of the\n", + " integration interval.\n", + " return quad(lambda x: np.sqrt(1 - m**2*np.sin(x)**2), 0, phi)[0]\n", + "/Users/nolansmyth/opt/anaconda3/lib/python3.9/site-packages/scipy/optimize/_minpack_py.py:177: RuntimeWarning: The iteration is not making good progress, as measured by the \n", + " improvement from the last ten iterations.\n", + " warnings.warn(msg, RuntimeWarning)\n" + ] + }, + { + "data": { + "text/plain": [ + "1.9595917942265424" + ] + }, + "execution_count": 695, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "rho=0.1\n", + "t_fwhm_gondolo_finite(1, 0.2, rho)" + ] + }, + { + "cell_type": "code", + "execution_count": 278, "metadata": {}, "outputs": [], "source": [ - "umin = 0.2\n", + "umin = 0.5\n", "t_e = 10\n", "t_arr = np.linspace(-20,20,1000)\n", "u_arr = u_func(umin, t_arr, t_e)\n", @@ -2436,14 +2638,97 @@ }, { "cell_type": "code", - "execution_count": 371, + "execution_count": 279, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", "text/plain": [ - "
" + "1.7320508075688772" + ] + }, + "execution_count": 279, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "#This is ~ 2*t_E for ut=1 and umin<<1\n", + "t_duration(umin, 1, t_e, 0)/t_e" + ] + }, + { + "cell_type": "code", + "execution_count": 324, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "1.7320508075688772" + ] + }, + "execution_count": 324, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.sqrt(12)*umin" + ] + }, + { + "cell_type": "code", + "execution_count": 281, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "17.32050807568877\n", + "100.0\n" + ] + } + ], + "source": [ + "#Novati relating fwhm to t_e for umin << 1\n", + "print(np.sqrt(12)*umin*t_e)\n", + "#Explicit calculation of fwhm\n", + "print(t_fwhm_point(umin, t_e))\n" + ] + }, + { + "cell_type": "code", + "execution_count": 238, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "3.5517758879439683\n", + "13.256628314157076\n" + ] + } + ], + "source": [ + "#Finite source calculation, small source\n", + "print(t_fwhm_finite(umin, t_e, 0.01))\n", + "#Finite source calculation, larger source\n", + "print(t_fwhm_finite(umin, t_e, 0.5))" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" ] }, "metadata": {}, diff --git a/examples/hsc_pbh.ipynb b/examples/hsc_pbh.ipynb index 4eeded4..ecc6c2a 100644 --- a/examples/hsc_pbh.ipynb +++ b/examples/hsc_pbh.ipynb @@ -77,12 +77,12 @@ "name": "stderr", "output_type": "stream", "text": [ - "/Users/nolansmyth/opt/anaconda3/lib/python3.9/site-packages/scipy/integrate/quadpack.py:879: IntegrationWarning: The algorithm does not converge. Roundoff error is detected\n", + "/Users/nolansmyth/opt/anaconda3/lib/python3.9/site-packages/scipy/integrate/_quadpack_py.py:1233: IntegrationWarning: The algorithm does not converge. Roundoff error is detected\n", " in the extrapolation table. It is assumed that the requested tolerance\n", " cannot be achieved, and that the returned result (if full_output = 1) is \n", " the best which can be obtained.\n", " quad_r = quad(f, low, high, args=args, full_output=self.full_output,\n", - "/Users/nolansmyth/opt/anaconda3/lib/python3.9/site-packages/scipy/integrate/quadpack.py:879: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", + "/Users/nolansmyth/opt/anaconda3/lib/python3.9/site-packages/scipy/integrate/_quadpack_py.py:1233: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", " quad_r = quad(f, low, high, args=args, full_output=self.full_output,\n" ] }, @@ -90,7 +90,7 @@ "name": "stderr", "output_type": "stream", "text": [ - "/Users/nolansmyth/opt/anaconda3/lib/python3.9/site-packages/scipy/integrate/quadpack.py:879: IntegrationWarning: The maximum number of subdivisions (50) has been achieved.\n", + "/Users/nolansmyth/opt/anaconda3/lib/python3.9/site-packages/scipy/integrate/_quadpack_py.py:1233: IntegrationWarning: The maximum number of subdivisions (50) has been achieved.\n", " If increasing the limit yields no improvement it is advised to analyze \n", " the integrand in order to determine the difficulties. If the position of a \n", " local difficulty can be determined (singularity, discontinuity) one will \n", @@ -113,7 +113,7 @@ "outputs": [ { "data": { - "image/png": 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", + "image/png": 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IyKpEUcSHu87hsU8PoLzKhOjQVtj47GAWHRv465hwdAnwQNHVary05gi3kyCSAMsOkYOpqjHj+ZXpeGPLSVhE4MGYYHz9eH8EeLpKHU2R3FzUWDylD1ycVPjlZCGW782SOhKRw2HZIXIg+aWVmPz+PqxPz4daJeAf4yPwr4m9oHFSSx1N0Xq09cIriT0AAAu2nERGfrnEiYgcC8sOkYM4mFWCcUt242heGVppnfHljP54dGAHCILjbuTZkh4dGIqRPQJgNFvw7DeHYDByOwmilsKyQ+QAvjmQjSkf7UdxhRHd23hi4zNxGNiptdSxHIogCFg4KRKBXhqcK9Lj/zZlSB2JyGGw7BApWI3Zgr+uP4b5a4+ixixiTK+2WPv0IAT7cql7Kfi6u2DRA1EQBOCbAznYcrRA6khEDoFlhxyWu7s7RFGEKIqKvH30ckU1Hvn4V3yx/wIEAXhpdDcsebgPtC5OUkdzaIM6++GpoZ0AAPO+PYLcKwaJE1FjKH3cUCqWHSIFOp5fhnFL9uBAZgk8NE74aGoMkoZ35vU5duL5u7siKtgH5VUmzFmRDpOZ20kQ2RLLDpHCfHc4HxOX7UVeaSXC/NyxPmkQRoYHSh2LfsNZrcLih/rAQ+OEgxeu1G3TQUS2wbJDDquqqgqTJ0/G5MmTFbHsu9kiYuEPJ/HsN2moqrFgSFd/rH96MDoHeEodjW4hpLUWr9/XEwDw3i9ncCCzROJE1BBKGzccBbeLIIelpGXfy6tqMGdFOn45WQgAeHJIR7x8T3eoVZy2sncvrDqMbw/lIsjbFVuei4ePlpuv2jMljRv2httFENFtnS+qwATdHvxyshAaJxXeeTAK8xN7sOjIxGvjI9ChtRb5ZVWY9+1RbidBZAMsO0Qytv1UIcbr9uB8kR5tvV2xZtYgTOjTTupY1AgeGie8N6UvnNUCfjh+Ed8cyJE6EpHisOwQyZAoinh/5zn8cXkKrlaZEBPaChufiUOv9t5SR6Mm6NXeGy+N7gYA+Mem4zhz6arEiYiUhWWHSGYqjWY8tyId//r+JEQRmNIvBF8/PgD+nhqpo1EzzIzriPgufqiqsVy7yNwsdSQixWDZIZKRvNJKTHp/LzYezoeTSsA/J/TEgvt7wcWJf5XlTqUS8NYDkfDzcMHJi1exYMsJqSMRKQZHSCKZOJBZgnHv7cbx/HL4urvgq5n98YcBoVLHIisK8HTFm5MjAQCf7buAnzIuSZyISBlYdshhabVaVFRUoKKiAlqt/e4VJYoiPk4+j4c/2o/LeiPC23ph4zOD0b8jN/JUouHdAjAjLgwA8NKaw7hYxrVc7Ilcxg26EcsOOSxBEODu7g53d3e73UahrLIGs75MxT83n4DJImJsZBDWPDUQ7VtxkFWyl+/phoggL1wx1OD5lekwW3g7ur2Qw7hBN7PLspOZmYnhw4cjPDwcvXr1gl6vlzoSUYs7lleGse/txtbjl+CsFvCP8RFY/FAUN/J0ABonNRZP6QM3ZzX2nb+M93eekzoSkazZZdmZPn06/vGPfyAjIwM7d+6ERsO7TMj6qqurMX36dEyfPh3V1dVSx6kjiiK+/jUb9y/bi+wSA9r5uGHNrEF4dGAH/kvSgXTy98Br4yIAAG9vO41D2VckTkSA/Y4bdGd2t13E8ePH8dxzz+Gnn35q0ue5XQQ1lD0u+24wmvCXdcewNi0PADCiewDeeiCSWwg4KFEU8ew3adh0pADBvm7YPDseXq7OUsdyaPY4biiFXW0XsWvXLowdOxZBQUEQBAHr16+/6T1Lly5FWFgYXF1dER0djeTk5AZ//TNnzsDDwwPjxo1D37598cYbbzQ2IpEsnS28igm6PViblge1SsCf7umOjx6NYdFxYIIg4PX7eqGdjxtySirxl3XHuJ0EURM0evJfr9cjMjISjz32GCZOnHjT769cuRJz5szB0qVLMXjwYHzwwQdISEhARkYGQkJCAADR0dG3PP33448/oqamBsnJyUhPT0dAQADuuecexMbG4u67775lnurq6hu+Vnl5eWP/SESS25Ceh/lrj8JgNCPAU4P3pvTh3VYEAPB2c8biKVF44IP92Hg4H0O6+mNSdHupYxHJSqPLTkJCAhISEm77+2+//TZmzJiBmTNnAgDeeecdbN26FcuWLcOCBQsAAKmpqbf9fPv27REbG4vg4GAAQGJiItLT029bdhYsWIDXXnutsX8MIrtQbTLj/zZl4Mv92QCAQZ1a492H+nA1ZLpBdKgv5ozogre2ncbfNhxDdGgrhPlx+oSooax6gbLRaERqaipGjRp1w+ujRo3C3r17G/Q1YmNjcenSJVy5cgUWiwW7du1Cjx49bvv++fPno6ysrO6Rk8NN9EgeckoMmLRsX13RefauzvhiRn8WHbqlp4d3Rv8wXxiMZsz+Jg1Gk0XqSESyYdWyU1xcDLPZjMDAwBteDwwMxMWLFxv0NZycnPDGG29gyJAh6N27N7p06YJ77733tu/XaDTw8vK64UFk77ZlXMKYxck4mleGVlpnLH8sFi+M6ga1indb0a2pVQLeeSgKPlpnHM0r4+3oRI1gkwU7fn97rCiKjbpltr6pMiK5qjFb8J+tp/DBrvMAgD4hPtA93BdBPm4SJyM5aOvthtfGReC5Fel4f+c5PNQvGAGerlLHIrJ7Vj2z4+fnB7VafdNZnMLCwpvO9hBJTavVorCwEIWFhS2y7PvFsio8/NH+uqLzx8FhWPnEQBYdapRxkUGICvaBwWjGOz+dkTqOw2npcYOsw6plx8XFBdHR0di2bdsNr2/btg2DBg2y5rciajZBEODv7w9/f3+bL9a3+0wxxixORkrWFXhqnLDskb7429hw7lZOjSYIAl4ZU3sd44oD2Thz6arEiRxLS44bZD2NHmkrKiqQnp6O9PR0ALVbO6SnpyM7u/Yiy7lz5+Ljjz/GJ598ghMnTuD5559HdnY2Zs2aZdXgv6fT6RAeHo7Y2Fibfh+ixrBYRLz70xlM/eRXXNYb0aOtF757Ng4JvdpKHY1kLLaDL0ZHBMIiAgu+Pyl1HCK71+gVlHfs2IHhw4ff9Pq0adOwfPlyALWLCi5cuBAFBQXo2bMnFi1ahCFDhlglcH24gjI1VHV1NebOnQugdskEa29LcrmiGnNWpiP5TDEA4KHYYPx9XARcndVW/T7kmM4XVWDUol0wWUR8NbM/Bnf2kzqSQ7D1uOHIbPnz2+62i2gulh1qKFsu+556oQRJX6XhYnkVXJ1VeH1CL0zkQnBkZX/feBzL92YhIsgL3z0TBxXv5rM5bhdhO3a1XQQR3Z4oivg4+Twe/GA/LpZXoaO/OzYkxbHokE3MHtEFnhonHM8vx/r0PKnjENktlh0iKymrrMGsL1Pxz80nYLKIGBsZhI3PxKFbG0+po5FC+bq74OnhnQEAb249haoas8SJiOwTyw6RFRzLK8PY93Zj6/FLcFGr8H/jI7D4oSh4aGyylBVRnccGd0A7HzcUlFXhv7szpY5DZJcUU3Z4NxZJQRRFfP1rNu5fthfZJQa0b+WGNU8NxNSBHXhbKrUIV2c1XhrdDQCwbMc5FFfcvMkykaNTTNlJSkpCRkYGUlJSpI5CDkJfbcLzK9Px53VHYTRZMLJHADY/G4/e7X2kjkYOZlxkEHq280JFtQmLf+ZCg0S/p5iyQ9SSThSUY+yS3Vifng+1SsC8hO74cGoMvLXOUkcjB6RSCfhzYu1Cg1/9mo1zRRUSJyKyLyw75LDc3NyQmZmJzMxMuLk1bMsGURSx4kA2Juj24HyRHm28XLHyiQGYNbQTb/slSQ3q5IeRPQJgtoj4FxcatJmmjBskPV49SQ5LpVKhQ4cODX6/vtqEv6w/hnVptbf4Du3qj0UPRsHX3cVGCYkaZ15Cd2w/VYRtGZfw6/nL6N+xtdSRFKex4wbZB57ZIWqAUxevYtyS3ViXlge1SsDL93TDp9NjWXTIrnQO8MRDscEAgDe2nIDFoqg1Y4majGWHHJbRaMRLL72El156CUaj8ZbvEUURq1JyMF63G+euTVt98/gAPD2sM6etyC7NGdkV7i5qHM4tw3dH8qWOozgNGTfI/ihmuwidTgedTgez2YzTp09zuwiqV33LvhuMJvxl3TGsvTZtNaSrPxY9EInWHtwLh+zbkl/O4D8/nkY7Hzf8/MJQ7sdmRdwuwna4XUQD8NZzsqbaaas9WJuWB5UAvDS6G5ZPj2XRIVmYEdcRbbxckVdaic/2Zkkdh0hyiik7RNay6mDttNXZwgoEemnwzeMDkDSc01YkH24uarx4baHBJdvP4oqe0y3k2Fh2iK4xGE14YdVhvLzmCKpqLIjv4ofNs+N5RwvJ0n192qFHWy9crTJh8S9caJAcG8sOEYCzl65i/JI9+PZQLlQC8OKorvjssX7w47QVyZRaJeCVawsNfrHvAjKL9RInIpIOyw4RgAc+2I8zhRUI8NTg68cH4Jm7unDaimQvrosfhnXzh8kiYuEPXGiQHBfLDjmsSqP5f89rzIjv4octz8VjAKetSEHmJ/SASgC+P3YRB7NKpI5DJAmuoEwO6cylq3j6y1S0/aMOKgF4IaEnnhnRFWqezSGF6dbGEw/EBGNFSg5e33ICa58aBEHgcd5Ubm5uOHbsWN1zkgeWHXI436bm4i/rj6Gyxox2Hbti8UN9MLATz+aQcs29uys2pOcjLbsUW45exJjebaWOJFsqlQoRERFSx6BGUsw0lk6nQ3h4OGJjY6WOQnaq0mjGy2sO44XVh1FZY8bgzq2xZXY8iw4pXoCXK54c2hEA8O8fTqLaZK7nE0TKopgVlK+z5QqMJF9nCyuQ9NUhnLp0FYIAzBnRFU/EheDf/1oAAPjzn/8MFxfuc0XKZTCaMOzNHSi8Wo2/jOmBmfEdpY4kS0ajEW+88QYAjhvWZsuf3yw7pHjr0nLxyrpjMBjN8PPQYPFDURjU2Y/LvpPDWXEgG/PWHoW3mzN2vTQc3lpnqSPJDscN2+F2EURNUFVjxp/WHMHzKw/DYDRjUKfW2PJcHAZ19pM6GpEkJscEo1ugJ8oqa7BkOxcaJMfBskOKdLawAhN0e7DyYE7ttNXILvhiRn8EeLpKHY1IMmqVgPmJ3QEAn+29gOzLBokTEbUMlh1SnHVpuRi3ZDdOXrwKPw8NvpzRH3NG8rZyIgAY2tUf8V38YDRbsHArFxokx8CyQ4px/W6r69NWAzu2xpbZcRjMaSuiOoIgYH5CDwgCsOlIAdKyr0gdicjmWHZIEc5cuorxut1YdTC3btrqy5n9EeDFaSui3wsP8sLEvu0BAG9sOQGF3adCdBOWHZK9b1NzMW7JHpy+VAE/Dw2+4rQVUb1eGNUVrs4qpGRdwdbjl6SOQ2RTillBWafTQafTwWzmYlmOwmA04W8bjmNNai4AYHDn1lj0YFSDL0J2dXXFgQMH6p4TOZK23m54PL4j3vvlLP71/Qnc1T0ALk789299OG7IE9fZIVk6fekqkr46hDOFFVAJwJyRXZE0vDPP5hA1QkW1CcPe3I7iCiP+PjYc0weHSR2JHBjX2SH6jdUHczBuyW6cKayAv6cGX80cgNkjurDoEDWSh8YJc0Z2BQC8+/MZlFfVSJyIyDZYdkg2DEYT5q5Kx0trjqCqxoL4Ln7N2tvKaDTizTffxJtvvgmj0WjltETy8FBsMDr5u+OKoQZLt5+TOo7d47ghT5zGIlk4dfEqnv4qFeeK9FAJtbs4Pz2sM1TNOJvDZd+Jav184hJmfHYQLk4q/PLCULRvpZU6kt3iuGE7nMYihyWKIlamZGO8bjfOFekR6KXB148PwDN3dWlW0SGi/7mrewAGdPSF0WTBf7aekjoOkdWx7JDd0lebMHfVYfzp26OoqrFgSFd/bJkdjwEdmzZtRUS3JggCXkkMBwCsT8/HkdxSaQMRWRnLDtmlEwXlGLtkN9al5UElAC+N7obl02PR2kMjdTQiRerV3hv39WkHgAsNkvKw7JBdEUUR3xzIxgTdHpwv0qONlytWPDEQScObd30OEdXvxdHd4OKkwv7zJfj5RKHUcYishmWH7EZFtQlzVqZj/tqjqDZZMLSrPzbPjkO/MF+poxE5hHY+bpgRV7vWzhvfn0CN2SJxIiLrYNkhu5CRX45x7+3GhvR8qFUC/nRPd3zKaSuiFvfUsE7wdXfB+SI9VqTkSB2HyCoUs10EyZMoivj6QDZe+y4DRpMFbb1d8d6UPojpYPuzOa6urti+fXvdcyICvFyd8dyILnh143G8+9NpTIgKgqers9Sx7AbHDXlSzDo7v90b6/Tp01xnRwauVtVg/tqj2HSkAAAwvJs/3nogCr7uLhInI3JsNWYLRi3ahcxiPWaP6IK5d3eVOhI5AFuus6OYsnMdFxWUh2N5ZXjm60PIumyAWiXg5dHd8Hh8R16ETGQnthwtwNNfHYKXqxP2zLuLZ3fI5rioICmGKIr4Yv8F3L90L7IuGxDk7YpVTw7Ak0M7tXjRqampqTsjWFPDPYGIfuueiDbo6O+O8ioTvjmQLXUcu8FxQ554ZodaTHlVDeZ/exSbj9ZOW43oHoD/TI5EK4mmrbjsO9GdrUrJwcvfHkGApwbJfxoOjZNa6kiS47hhOzyzQ7J3NLcMY9/bjc1HC+CkEvDnxO74eFqMZEWHiOo3oU87tPV2ReHVanybmid1HKImY9khmxJFEZ/tzcLEZXtx4bIB7XzcsGrWQDwxpBMEgdfnENkzFycVZsZ3BAB8sOscTFx3h2SKZYdspqyyBk9/dQivbjwOo9mCkT0CsXl2HPqGtJI6GhE10JR+wWildcaFywZsOXZR6jhETcKyQzZxJLcU976XjO+PXYSzWsBf7w3HR49Gw0fLaSsiOdG6OGH6oNpVlZftOMc9s0iWWHbIqkRRxCe7MzFx2V7klFSifSs3rJ41CDPiwjhtRSRT0waFQuuixomCcuw4XSR1HKJGY9khqykz1ODJL1Lxj00ZqDGLGB0RiM2z4xEV7CN1NCJqBh+tCx7uFwIAWLb9nMRpiBqP20WQVaTnlCLpq0PIK62Es1rAK4k9MG1QB7s+m6PRaLBp06a650R0ezPjO+KzfVk4kFWCg1klLbKliz3iuCFPXGeHmkUURfx3dyb+9f1JmCwiQny1WPJwH/Ru7yN1NCKysnnfHsGKlByM6B6A/06PlToOKQzX2SG7VGow4vHPU/HPzSdgsohI7NUGm2bHsegQKdSTQztBEICfTxbi5MVyqeMQNRjLDjVJ6oUrGLN4N346cQkuahX+MT4Cuof7wktG++fU1NRg+fLlWL58OZd9J2qAMD93JPZsC6D2zixHxHFDnjiNRY1isYj4ePd5LPzhFEwWEaGttdA93Bc923lLHa3RuOw7UeMdyyvDve/thkoAdrw4HCGttVJHalEcN2yH01hkF67ojZj5+UG8saX2+px7e7fFpmfjZFl0iKhperbzxpCu/rCItasqE8mBYsqOTqdDeHg4YmN50ZwtpF4oQeLiZPxyshAuTir8c0JPvDelDzxlNG1FRNbx9LBOAIDVqbkovFolcRqi+imm7CQlJSEjIwMpKSlSR1EUi0XEsh3n8MAH+1FQVoUwP3ese3oQ/jAg1K5vKyci2+kf5ou+IT4wmiz4ZHeW1HGI6qWYskPWV6I34o+fpeDfP5yE2SJiXGQQvns2DhFBnLYicmSCIOCpYZ0BAF/uv4CySl6oS/aNZYdu6UBmCRLfTcaOU0XQOKmw4P5eePehKHhouA4lEQEjugega6AHKqpN+HL/BanjEN0Ryw7dwGIRodt+FlM+2o+L5VXo6O+O9UmDMaVfCKetiKiOSiXgqWvX7nyyOxNVNWaJExHdHv+ZTnWKK6oxd9Vh7Lq20d99fdrhnxN6wl2hZ3M0Gg1WrVpV95yIGmds7yC89eNp5F6pxKqDOXh0YAepI9kcxw154jo7BADYf/4ynluRhkvl1XB1VuEf43pickx7ns0hojv6Yl8W/rrhONr5uGHHS8PgrOaEATUN19khmzFbRCz++Qwe/mg/LpVXo3OABzY+E4cHYoNZdIioXpNjguHn4YK80kp8dzhf6jhEt8Sy48CKrlbj0U9+xdvbTsMiApOi22PjM4PRNdBT6mgtwmQyYfXq1Vi9ejVMJpPUcYhkydVZjccGhwGo3ULCYlHUZMFNOG7IE6exHNSes8V4bkU6iiuq4easxj8n9MTE6PZSx2pRXPadyDrKq2oweMEvuFptwkePxuDu8ECpI9kMxw3b4TQWWY3ZIuLtbafxh//+iuKKanQL9MR3zw52uKJDRNbj5eqMPwwMBQAs3XEWCvs3NCkAy44DuVRehUc+3o/FP5+BKAIPxQZjfdJgdA5wjGkrIrKdPw4Og4uTCmnZpdh/vkTqOEQ3YNlxELtOFyHx3WTsP18Cdxc13n0oCv+a2BtuLmqpoxGRAvh7avBATO0Z4qU7zkqchuhGLDsKZzJb8ObWk5j26QFc1hvRo60Xvns2DuOj2kkdjYgU5skhnaBWCUg+U4xjeWVSxyGqw7KjYAVllZjy0X7otp+DKAKP9A/BuqcHoaO/h9TRiEiBgn21GNu7LYDaO7OI7AXLjkJtP1mIxHeTkZJ1BR4aJyx5uA9ev68XXJ05bUVEtnN9g9AtxwpwvqhC4jREtZS5D4ADqzFb8J+tp/DBrvMAgJ7tvLBkSl908OPtkb/n4uKCTz/9tO45ETVftzaeGNkjAD+dKMQHO8/j35N6Sx3JqjhuyBPX2VGQvNJKPPv1IRzKLgUATB/UAfMTu0PjxLM5RNRyUi+UYOKyfXBWC9j18nC09XaTOhLJANfZoXpty7iExHeTcSi7FJ6uTnj/D33x93ERLDpE1OKiQ33RL8wXNWYR/03OlDoOEcuO3BlNFvzfpgw8/vlBlFXWILK9N7bMjsc9PdtKHc3umUwmbN68GZs3b+ay70RW9vSwTgCArw9k44reKHEa6+G4IU+8ZkfGckoMeOabNBzOKQVQu6jXvITucHFih22I6upq3HvvvQBql313cuJfByJrGdrVHxFBXjieX47P9mVhzsiuUkeyCo4b8qSYn4o6nQ7h4eGIjY2VOkqL+OFYARIXJ+NwTim8XJ3w4dRo/G1sOIsOEdkFQRDw1LWzO8v3ZkFfzbMgJB3F/GRMSkpCRkYGUlJSpI5iU9UmM17dcAyzvjyEq1Um9AnxwZbn4jEqoo3U0YiIbpDQsy06tNai1FCDFSk5UschB6aYsuMILlzWY9Kyffhs3wUAwJNDOmLVkwPRvpVW4mRERDdTqwQ8ObT27M7HyedhNFkkTkSOimVHJjYdyceYxbtxNK8MrbTO+GR6DOYn9oCzmv8XEpH9ur9vOwR6aVBQVoX1aXlSxyEHxZ+Udq6qxoxX1h3FM1+noaLahJjQVtjyXDzu6h4odTQionppnNSYGdcRAPD+znMwWxS1tBvJBMuOHTtfVIH7lu7FV79mA6i9lXPFEwO4QBcRycqU/iHwdnPG+WI9th6/KHUcckC8Z85OrU/Lw5/XHYXBaEZrdxe89UAkhnULkDqWori4uGDJkiV1z4nINjw0Tpg2MBSLfzmLZTvOIaFnGwiCIHWsJuG4IU/cLsLOVBrN+PvG41h5sPbOhf5hvlg8pQ8CvVwlTkZE1HQleiMG/+sXVNaY8cWMfojv4i91JLIz3C7CQZy5dBXjdbux8mAOBAGYPaILvprZn0WHiGTP190FD/ULBgAs3X5O4jTkaFh27MTqgzkYt2QPTl+qgJ+HBl/O6I+5d3eFE++2shmz2YwdO3Zgx44dMJvNUschUrzH4zvCWS1g3/nLSMu+InWcJuG4IU+8Zkdi+moT/rrhGNYeqr0lM66zHxY9GAV/T43EyZSvqqoKw4cPB1C77Lu7u7vEiYiULcjHDROi2mF1ai6W7TiHDx+NkTpSo3HckCeeNpDQyYvlGLdkN9YeyoNKAF64uys++2M/Fh0iUqwnh3aCIAA/ZlzCmUtXpY5DDoJlRwKiKOKbA9kYv2QPzhXpEeilwdePD8CzI7pArZLnHQpERA3ROcADo8Nrt7dZtpPX7lDLYNlpYRXVJjy3Ih3z1x5FtcmCoV39sWV2PAZ0bC11NCKiFvH08NotJDam5yP3ikHiNOQIWHZa0LG8Mty7OBkbD+dDrRIwL6E7Pp0ei9YenLYiIsfRu70P4jr7wWQR8dGu81LHIQfAstMCRFHEF/uycP/Svci6bECQtytWPTkAs4Z2gorTVkTkgJ4aVnt2Z0VKDoorqiVOQ0rHsmNj5VU1SPr6EP664TiMZgtG9gjA5tnxiA71lToaEZFkBnVqjcj23qg2WbB8T5bUcUjheOu5DR3OKcUz3xxCTkklnNUC/nRPd8yIC5PtMulK4+zsjIULF9Y9J6KWIwgCnhrWGbO+TMVn+7Lw5NCO8HS1/7+HHDfkidtF2IAoivh0TxYWfH8CNWYR7Vu5YcnDfREV7CNJHiIie2SxiBj1zi6cLazAvITumDW0k9SRSELcLkJGSg1GPPFFKv6xKQM1ZhH3RLTB5tnxLDpERL+jUgl4ckhHAMDne7Ngtijq395kR1h2rOhQ9hWMWbwb2zIuwUWtwmvjIrDsD33h7cZTnfbIbDYjJSUFKSkpXPadSCJjI4Pg6+6C/LIq/HziktRx6sVxQ554zY4VWCwiPko+jze3noLJIiK0tRa6h/uiZztvqaPRHVRVVaFfv34AuOw7kVRcndV4ICYY7+88hy/2X8CoiDZSR7ojjhvyxDM7zVSiN2LGZylY8P1JmCwi7u3dFpuejWPRISJqoEf6h0AQgOQzxThfVCF1HFIglp1mOJBZgsR3k7H9VBFcnFR4475eeG9KH1ncUUBEZC+CfbW4q1sAAODL/dkSpyElYtlpAotFhG77WUz5aD8ulleho787NiQNxsP9Q3hbORFRE0wdGAoAWJ2aA4PRJHEaUhqWnUYqvFqFRz85gDe3noLZIuL+Pu3w3TNx6NFWmtvciYiUYEgXf4S21uJqlQkb0/OljkMKw7LTCLvPFCPx3d3YfbYYbs5qLJzUG289EAl3Da/zJiJqDpVKwB/6157d+XzfBShsCTiSGMtOA5jMFvxn6ylM/eRXFFdUo1ugJzY+MxgPxARz2oqIyEomx7SHxkmFjIJyHMoulToOKQhPSdQjv7QSz61IQ0rWFQDAlH4heHVsOFyd1RIno+ZydnbGq6++WveciKTlo3XBuMggrE7NxZf7LyA6tJXUkW7CcUOeuF3EHfyUcQkvrjmMUkMNPDROWHB/L4yNDLJSUiIi+r0juaUYt2QPXNQq7J1/F/w8NFJHohbC7SJamNFkwT++y8DMzw+i1FCDXu28sXl2HIsOEZGN9W7vg8hgHxjNFqw6mCN1HFIIlp3fuXBZj0nv78UnezIBAH8cHIY1Tw1EaGuukqk0FosFx48fx/Hjx2GxWKSOQ0TXTB1Qe6HyV/uz7W6/LI4b8mR3ZefUqVOIioqqe7i5uWH9+vUt8r2/O5yPMYt340huGXy0zvj40Rj8bWw4NE68PkeJKisr0bNnT/Ts2ROVlZVSxyGia+7t3RY+WmfklVZi+8lCqePcgOOGPNndBcrdunVDeno6gNp9Rzp06IC7777bpt+zqsaM177LwDcHalfujAlthcVT+iDIx82m35eIiG7m6qzGgzHB+GDXeXy+/wJGhgdKHYlkzu7O7PzWxo0bMWLECJtutHbm0lWMX7IH3xzIhiAAzwzvjBVPDGDRISKS0CP9QyEIwK7TRcgq1ksdh2Su0WVn165dGDt2LIKCgiAIwi2nmJYuXYqwsDC4uroiOjoaycnJTQq3atUqPPjgg036bH1EUcSqgzkYt2QPTl26Cj8PDb74Y3+8OLobnNR23QGJiBQvpLUWw7r6AwC+3H9B4jQkd43+qa7X6xEZGYklS5bc8vdXrlyJOXPm4JVXXkFaWhri4+ORkJCA7Oz/be4WHR1dN+f520d+/v+WCC8vL8eePXuQmJh4xzzV1dUoLy+/4VGfimoTnl+ZjpfXHEFljRlxnf2w5bk4xHXxa+D/CkREZGuPDuwAAFidmotKo1naMCRrjb5mJyEhAQkJCbf9/bfffhszZszAzJkzAQDvvPMOtm7dimXLlmHBggUAgNTU1Hq/z4YNGzB69Gi4urre8X0LFizAa6+91uD8x/PL8MzXacgs1kOtEjD37q54amgnqFRcCZmIyJ4M6eqPYF835JRU4rvD+XggNljqSCRTVp2vMRqNSE1NxahRo254fdSoUdi7d2+jvlZDp7Dmz5+PsrKyukdOzq3XZRBFEZ/vy8J9ur3ILNajrbcrVjwxAEnDO7PoEBHZIfVv98van8X9sqjJrHo3VnFxMcxmMwIDb7xyPjAwEBcvXmzw1ykrK8OBAwfw7bff1vtejUYDjebOK2yWGWrw8reHsfX4JQDAyB4BeHNSJFq5uzQ4EymPs7MzXnzxxbrnRGR/JscE461tp3EsrxzpOaXoEyLtFhIcN+TJJree/35zTFEUG7Vhpre3Ny5dumSVLIeyr+DZr9OQV1oJZ7WAeQk98MfBHbiBJ8HFxQVvvvmm1DGI6A583V0wtncQvj2Uiy/2X5C87HDckCerTmP5+flBrVbfdBansLDwprM9tmaxiHh/5zk88P4+5JVWIsRXi2+fGoQZcWEsOkREMvLowNqprE1HClCiN0qchuTIqmXHxcUF0dHR2LZt2w2vb9u2DYMGDbLmt6rXU1+l4l/fn4TJIuLe3m2xaXYcerf3adEMZN8sFguysrKQlZXFZd+J7FhksA96t/eG0WTByhRp98viuCFPjS47FRUVSE9Pr1vlODMzE+np6XW3ls+dOxcff/wxPvnkE5w4cQLPP/88srOzMWvWLKsG/z2dTofw8HDExsYCAPacvQyNkwoL7u+F96b0gZcr51bpRpWVlQgLC0NYWBiXfSeyc3X7Zf16QdL9sjhuyJMgNvLy9h07dmD48OE3vT5t2jQsX74cQO2iggsXLkRBQQF69uyJRYsWYciQIVYJXJ/rW8QPfX0z3v9jHLq3se428aQcer0eHh4eAGpLvC1X6iai5qmqMWPAgp9RaqjBf6fFYEQPabaQ4LhhO9d/fpeVlcHLy7o/uxtdduzd9f+xCoouo42fr9RxyI5x0CKSlze2nMCHu85jWDd/LH+snyQZOG7Yji3LjmL3RdC62N0ep0RE1AyP9A+BIAA7TxfhwmXul0UNp9iyQ0REyhLa2h1Du/pDFIGvfs2u/wNE17DsEBGRbFy/UHnVwRxU1XC/LGoYxZSd39+NRUREyjOsWwDat3JDqaEG3x3Or/8DRLDRCspSSEpKQlJSUt0FTkT1cXJywtNPP133nIjsn1ol4JH+ofj3Dyfxxf4LmBzTspuDctyQJ8XejWWLq7mJiEh6JXojBiz4GUaTBRuSBiMy2EfqSGQFvBuLiIjoGl93F9zbqy0A4PN9FyROQ3LAskMOSxRFFBUVoaioCAo7wUmkeFOv7Zf13ZF8XGnB/bI4bsgTyw45LIPBgICAAAQEBMBgMEgdh4gaISrYBz3becFosmDVwZbbL4vjhjyx7BARkewIgoBHB3QAAHz56wVYJNwvi+wfyw4REcnS2MggeLs5I6ekEjtPF0kdh+yYYsoO19khInIsbi5qTI5uDwD4Yj8vVKbbU0zZSUpKQkZGBlJSUqSOQkRELeSRaysqbz9ViJwSXkNDt6aYskNERI4nzM8dQ67tl/Xlrzy7Q7fGskNERLL26PX9slK4XxbdGte6Jofl5OSEadOm1T0nInka3j0A7XzckFdaiU1HCjDp2nU8tsBxQ564XQQREcne0h1nsfCHU4gM9sGGpMFSx6Em4HYRREREd/BgTDBc1CoczinFkdxSqeOQnWHZIYcliiL0ej30ej2XfSeSudYeGozpXbtf1hc23C+L44Y8KabscJ0daiyDwQAPDw94eHhw2XciBfjDtQuVNx623X5ZHDfkSTFlh+vsEBE5tr4hPogI8kK1yYI1qblSxyE7opiyQ0REjk0QBEy9dnaH+2XRb7HsEBGRYoyPagdPVydcuGzArjPcL4tqsewQEZFi1O6XFQzAthcqk7yw7BARkaL8YUAIAOAX7pdF17DsEBGRonT090B8Fz+IIvDVr9lSxyE7wLWuyWGp1WpMmjSp7jkRKcfUAaFIPlOMVQdzMGdkF7g6W+fvOMcNeeJ2EUREpDgmswVDFm5HflkV3n4gEvf3td1+WWQd3C6CiIioEZzUKjxy7Tb0L/bzQmVHp5iywxWUiYjotx6ICYazWkBadimO5ZVJHYckpJiywxWUqbH0ej0EQYAgCNDr9VLHISIr8/fUILGXdffL4rghT4opO0RERL93fUXlDYfzUGaokTgNSYVlh4iIFCs6tBV6tPVCVY0Fq1NzpI5DEmHZISIixbphv6z93C/LUbHsEBGRok3oEwRPVydkXTZg99liqeOQBFh2iIhI0bQuTpgUXbvOzufcL8shsewQEZHiPdK/dipr+6lCFF6tkjgNtTRuF0EOS61WIzExse45ESlX5wAP9AnxQVp2Kdan5eGJIZ2a9HU4bsgTt4sgIiKH8PWv2fjzuqPoEuCBH58fAkEQpI5Ev8HtIoiIiJrp3si2cHVW4UxhBQ7nckVlR8KyQ0REDsHL1Rn3RLQBAKw+yDV3HIliyg73xqLG0uv1cHd3h7u7O5d9J3IQk2OCAQAbD+ejqsbc6M9z3JAnxZQd7o1FTWEwGGAwGKSOQUQtZGDH1mjn44arVSZsPX6xSV+D44b8KKbsEBER1UelEjDx2po7a1JzJU5DLYVlh4iIHMrka2Vn99li5JVWSpyGWgLLDhEROZRgXy0GdPSFKAJreXbHIbDsEBGRw5kcXXuh8ppDuVDYcnN0Cyw7RETkcBJ6tYGHxgkXLhtwILNE6jhkY9wughyWSqXC0KFD654TkePQujhhTK+2WHkwB6tTc9G/Y+sGfY7jhjxxuwgiInJIB7NKMOn9fdC6qJHyyki4a/jvfylxuwgiIiIriw5thY5+7jAYzdh8tEDqOGRDLDtEROSQBOE3a+4c5F1ZSsayQw5Lr9fD398f/v7+XPadyEFN7NseKgE4kFWCrOL6xwGOG/LEskMOrbi4GMXFxVLHICKJtPF2RXwXfwANX1GZ44b8sOwQEZFDmxxTO5X17aFcmC2KumeHrmHZISIihzayRyC83ZxRUFaFPWd5xkaJFFN2dDodwsPDERsbK3UUIiKSEVdnNcZHBQEAVnP7CEVSTNlJSkpCRkYGUlJSpI5CREQyc337iK3HL6LMUCNxGrI2xZQdIiKipurZzgvd23jCaLJg45F8qeOQlbHskMNSqVSIiYlBTEwMl30ncnCCIGBS3Zo7Obd9H8cNeeJ2EURERAAuV1Sj/xs/w2QR8ePzQ9A10FPqSA6F20UQERHZWGsPDe7qHgAAWH2HszskPyw7RERE10yOqb1QeV1aHmrMFonTkLWw7JDDMhgM6NChAzp06ACDwSB1HCKyA8O6+cPPwwXFFUbsOFV00+9z3JAnlh1yWKIo4sKFC7hw4QIUdukaETWRs1qF+/q0A3DrqSyOG/LEskNERPQb16eyfjlZiOKKaonTkDWw7BAREf1G10BPRLb3hskiYn1antRxyApYdoiIiH5n0rWzO2tSczldpQAsO0RERL8zrncQXJxUOHnxKo7llUsdh5qJZYeIiOh3vLXOGB3RBgCwOpVr7sgdyw45LEEQEB4ejvDwcAiCIHUcIrIzk69tH7EhPR9VNWYAHDfkyknqAERS0Wq1OH78uNQxiMhODe7sh7berigoq8JPJy7h3t5BHDdkimd2iIiIbkGtEjCxb+3ZndUHcyVOQ83BskNERHQb13dCTz5ThItlVRKnoaZi2SGHZTAYEBERgYiICC77TkS31MHPHf06+MIiAt8eyuW4IVMsO+SwRFFERkYGMjIyuI4GEd3WpJjasztrUnNhsVg4bsgQyw4REdEdjOnVFloXNTKL9UjLviJ1HGoClh0iIqI7cNc4IbFXWwDA2kPcPkKOFFN2dDodwsPDERsbK3UUIiJSmOtr7vxw7KLESagpFFN2kpKSkJGRgZSUFKmjEBGRwvQL80Voay30RrPUUagJFFN2iIiIbEUQBEy6tuYOyQ/LDjksQRAQGhqK0NBQLvtORPWaGN0eggpQewWgfXAIxw0Z4XYR5LC0Wi2ysrKkjkFEMhHk44YhPdoj+alPMHtEF2i1WqkjUQPxzA4REVEDXV9R+dvUXFgsXGdHLlh2iIiIGmh0RBt4ujohr7QS+85fljoONRDLDjmsyspKxMbGIjY2FpWVlVLHISIZEE1GXP7yBRR89jy+2XtG6jjUQLxmhxyWxWLBwYMH654TEdXHYrGg4NxxAMDWYxdRXlUDL1dniVNRfXhmh4iIqAmqTRZsOlwgdQxqAJYdIiKiJlqdmiN1BGoAlh0iIqImUKsEpGWX4mzhVamjUD1YdoiIiJpgSFc/AMDq1FyJk1B9WHaIiIia4L6o2jV31h7Kg8nMmxzsGcsOOTQ/Pz/4+flJHYOIZOT6uDG0mz983V1QdLUau84USR2L7oBlhxyWu7s7ioqKUFRUBHd3d6njEJEM/HbcaOXtiQlR7QAAqw9yKsuesewQERE10eSY2qmsn05cQoneKHEauh2WHSIioibq0dYLPdt5ocYsYkN6ntRx6DZYdshhVVZWYtiwYRg2bBi3iyCiBrnVuDE5OhgAp7LsGbeLIIdlsViwc+fOuudERPW51bgxPioIr28+gYyCchzPL0NEkLeUEekWeGaHiIioGXy0Lrg7PBAAz+7YK5YdIiKiZpp07ULlDel5MJp4ptjesOwQERE105Au/gj00uCKoQY/n7gkdRz6HZYdIiKiZlKrBNzft/bsDrePsD8sO0RERFYwObq27Ow4VYjC8iqJ09BvseyQQ9NqtdBqtVLHICIZud240dHfA9GhrWARgbVpXHPHnrDskMNyd3eHXq+HXq/ndhFE1CD1jRvXz+6sPpgDURRbOh7dBssOERGRlYzp3RYaJxXOFelxLK9c6jh0DcsOERGRlXi6OmPktTV31nP7CLvBskMOq6qqCmPGjMGYMWNQVcWLCYmofg0ZN67vhL7xcD7MFk5l2QNuF0EOy2w2Y8uWLXXPiYjq05BxY2hXf/honVF0tRp7zxUjvot/S0akW7DLMzuLFi1CREQEwsPDMXv2bF7kRUREsuHipMK9vdsCANbxriy7YHdlp6ioCEuWLEFqaiqOHj2K1NRU7N+/X+pYREREDXZ9KmvrsYuoNPLMsdTsruwAgMlkQlVVFWpqalBTU4OAgACpIxERETVYdGgrtG/lBr3RjG3cPkJyjS47u3btwtixYxEUFARBELB+/fqb3rN06VKEhYXB1dUV0dHRSE5ObvDX9/f3x4svvoiQkBAEBQVh5MiR6NSpU2NjEhERSUYQhLqzOxs4lSW5RpcdvV6PyMhILFmy5Ja/v3LlSsyZMwevvPIK0tLSEB8fj4SEBGRnZ9e9Jzo6Gj179rzpkZ+fjytXrmDTpk3IyspCXl4e9u7di127djX9T0hERCSBCX2CAAA7TxehRG+UOI1ja/TdWAkJCUhISLjt77/99tuYMWMGZs6cCQB45513sHXrVixbtgwLFiwAAKSmpt7286tXr0bnzp3h6+sLABgzZgz279+PIUOG3PL91dXVqK6urvt1WVkZAKC8nIs50Z3p9fq65+Xl5bwji4jq1ZhxI8AV6O7rhIyCcqzZdwoP9QttiYiydf3ntk1uShKbAYC4bt26ul9XV1eLarVaXLt27Q3vmz17tjhkyJAGfc19+/aJUVFRYmVlpWgymcTExERx/fr1t33/q6++KgLggw8++OCDDz4U8Dh37lyTOsmdWHWdneLiYpjNZgQGBt7wemBgIC5evNigrzFgwAAkJiaiT58+UKlUGDFiBMaNG3fb98+fPx9z586t+3VpaSlCQ0ORnZ0Nb2/vpv1B7ERsbCxSUlJk/z2b+zWb8vnGfKYh723ue8rLyxEcHIycnBx4eXk1KJc94jHZ9M9b+5hsyPsc4ZgElHFcSnFMNvZzth4ry8rKEBISUjezY002WVRQEIQbfi2K4k2v3cnrr7+O119/vUHv1Wg00Gg0N73u7e0t+7/AarW6xf8Mtviezf2aTfl8Yz7TkPda6z1eXl6yPi55TDb989Y+JhvyPkc4JgFlHJdSHJON/VxLjZUqlfVvFLfqV/Tz84Narb7pLE5hYeFNZ3uofklJSYr4ns39mk35fGM+05D3Wus9csdjsumft/Yx2ZD3OcIxCSjjuJTimGzs5+Q8Vgqi2PQrgQRBwLp16zBhwoS61/r374/o6GgsXbq07rXw8HCMHz++7gJlWyovL4e3tzfKyspk/68VUg4el2RveEySvbHlMdnoaayKigqcPXu27teZmZlIT0+Hr68vQkJCMHfuXEydOhUxMTEYOHAgPvzwQ2RnZ2PWrFlWDX47Go0Gr7766i2ntoikwuOS7A2PSbI3tjwmG31mZ8eOHRg+fPhNr0+bNg3Lly8HULuo4MKFC1FQUICePXti0aJFt711nIiIiMiWmjWNRURERGTv7HJvLCIiIiJrYdkhIiIiRWPZISIiIkVj2SEiIiJFc+iyk5OTg2HDhiE8PBy9e/fG6tWrpY5EhPvuuw+tWrXCpEmTpI5CDmrTpk3o1q0bunTpgo8//ljqOEQAmjc2OvTdWAUFBbh06RKioqJQWFiIvn374tSpU3B3d5c6Gjmw7du3o6KiAp999hnWrFkjdRxyMCaTCeHh4di+fTu8vLzQt29f/PrrrzbZr4ioMZozNjr0mZ22bdsiKioKABAQEABfX1+UlJRIG4oc3vDhw+Hp6Sl1DHJQBw4cQEREBNq1awdPT08kJiZi69atUsciatbYaNdlZ9euXRg7diyCgoIgCALWr19/03uWLl2KsLAwuLq6Ijo6GsnJyU36XgcPHoTFYkFwcHAzU5OSteQxSdQUzT1G8/Pz0a5du7pft2/fHnl5eS0RnRRM6rHTrsuOXq9HZGQklixZcsvfX7lyJebMmYNXXnkFaWlpiI+PR0JCArKzs+veEx0djZ49e970yM/Pr3vP5cuX8eijj+LDDz+0+Z+J5K2ljkmipmruMXqrKxsEQbBpZlI+a4ydzSLKBABx3bp1N7zWr18/cdasWTe81r17d3HevHkN/rpVVVVifHy8+Pnnn1sjJjkQWx2ToiiK27dvFydOnNjciOTgmnKM7tmzR5wwYULd782ePVv86quvbJ6VHEdzxs6mjo12fWbnToxGI1JTUzFq1KgbXh81ahT27t3boK8hiiKmT5+Ou+66C1OnTrVFTHIg1jgmiWypIcdov379cOzYMeTl5eHq1avYsmULRo8eLUVcchAtMXY2etdze1FcXAyz2YzAwMAbXg8MDMTFixcb9DX27NmDlStXonfv3nXzh1988QV69epl7bjkAKxxTALA6NGjcejQIej1erRv3x7r1q1DbGysteOSA2rIMerk5IS33noLw4cPh8Viwcsvv4zWrVtLEZccREPHzuaMjbItO9f9fi5ZFMUGzy/HxcXBYrHYIhY5sOYckwB45wvZXH3H6Lhx4zBu3LiWjkUOrr7jsjljo2ynsfz8/KBWq2/6F3NhYeFN7ZCoJfCYJHvHY5TsUUscl7ItOy4uLoiOjsa2bdtueH3btm0YNGiQRKnIkfGYJHvHY5TsUUscl3Y9jVVRUYGzZ8/W/TozMxPp6enw9fVFSEgI5s6di6lTpyImJgYDBw7Ehx9+iOzsbMyaNUvC1KRkPCbJ3vEYJXsk+XHZ6Pu3WtD27dtFADc9pk2bVvcenU4nhoaGii4uLmLfvn3FnTt3SheYFI/HJNk7HqNkj6Q+Lh16bywiIiJSPtles0NERETUECw7REREpGgsO0RERKRoLDtERESkaCw7REREpGgsO0RERKRoLDtERESkaCw7REREpGgsO0RERKRoLDtERESkaCw7REREpGgsO0RERKRo/w/AfBplskzqjQAAAABJRU5ErkJggg==", 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" ] @@ -123,7 +123,7 @@ } ], "source": [ - "plt.loglog(t_es, diff_rates)\n", + "plt.loglog(t_es, np.array(diff_rates)*efficiency)\n", "plt.axvline(0.07, color='k', ls='--')\n", "plt.axvline(3, color='k', ls='--')\n", "plt.xlim(1e-2, 1e1)\n", @@ -133,7 +133,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 7, "metadata": {}, "outputs": [], "source": [ @@ -171,14 +171,14 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ - "100%|██████████| 25/25 [01:07<00:00, 2.69s/it]\n" + "100%|██████████| 25/25 [01:11<00:00, 2.85s/it]\n" ] } ], @@ -189,14 +189,21 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ - "100%|██████████| 25/25 [00:13<00:00, 1.86it/s]\n" + " 0%| | 0/25 [00:00" ] @@ -238,11 +284,13 @@ "fig, ax2 = plt.subplots()\n", "\n", "# Plot on first x-axis\n", - "ax2.plot(m_grams, fdms, 'r', ls=':')\n", + "# ax2.plot(m_grams, fdms, 'r', ls=':')\n", "ax2.plot(m_grams, fdm_finite, 'r', ls='-')\n", "ax2.fill_betweenx(fdm_finite, m_grams, color='r', alpha=0.2) # shade the area above the curve\n", "# ax2.fill_betweenx(fdms, [x*sol_to_gram for x in m_pbhs], color='r', alpha=0.2) # shade the area above the curve\n", "\n", + "ax2.plot(x_values*sol_to_gram, y_values, 'k', ls='--')\n", + "\n", "ax2.set_xscale('log')\n", "ax2.set_yscale('log')\n", "ax2.set_xlabel('PBH Mass (g)')\n", @@ -261,6 +309,13 @@ "\n", "plt.show()" ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] } ], "metadata": { diff --git a/examples/hsc_ubo.ipynb b/examples/hsc_ubo.ipynb index 5fbd436..8916fc2 100644 --- a/examples/hsc_ubo.ipynb +++ b/examples/hsc_ubo.ipynb @@ -181,7 +181,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 48, "metadata": {}, "outputs": [], "source": [ @@ -507,7 +507,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 7, "metadata": {}, "outputs": [], "source": [ @@ -550,7 +550,7 @@ "name": "stderr", "output_type": "stream", "text": [ - "100%|██████████| 50/50 [00:26<00:00, 1.90it/s]\n" + "100%|██████████| 50/50 [00:30<00:00, 1.64it/s]\n" ] } ], @@ -585,7 +585,16 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "s.add_ffp(1)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 13, "metadata": {}, "outputs": [], "source": [ @@ -606,24 +615,9 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 18, "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - " 0%| | 0/50 [00:00" ] @@ -656,6 +660,9 @@ "\n", "plt.fill_between(ms_earth, our_Mffp_perstar_earth, 1e10, alpha=0.3, color='blue')\n", "\n", + "plt.axhline(planetary_disk_arr[1], color='gray', ls=':')\n", + "plt.fill_between(ms_earth, planetary_disk_arr[0], planetary_disk_arr[2], alpha=0.3, color='gray')\n", + "\n", "plt.xlim(2e-7, 1e1)\n", "plt.ylim(1e1, 1e7)\n", "\n", @@ -671,7 +678,7 @@ "\n", "plt.legend(loc='lower right')\n", "\n", - "# plt.savefig('figures/monochromatic_mass.pdf')\n", + "# plt.savefig('figures/monochromatic_mass_new.pdf')\n", "\n", "plt.show()" ] @@ -685,7 +692,7 @@ }, { "cell_type": "code", - "execution_count": 24, + "execution_count": 42, "metadata": {}, "outputs": [], "source": [ @@ -745,7 +752,7 @@ }, { "cell_type": "code", - "execution_count": 25, + "execution_count": 43, "metadata": {}, "outputs": [], "source": [ @@ -758,7 +765,7 @@ }, { "cell_type": "code", - "execution_count": 28, + "execution_count": 44, "metadata": {}, "outputs": [], "source": [ @@ -767,7 +774,7 @@ }, { "cell_type": "code", - "execution_count": 29, + "execution_count": 45, "metadata": {}, "outputs": [], "source": [ @@ -882,7 +889,7 @@ "output_type": "stream", "text": [ "upper limit on number density of ISOs in au^-3 from HSC PBH constrint\n", - "3.3111481539473745e-11\n" + "4.681197866016717e-11\n" ] } ], @@ -940,7 +947,7 @@ }, { "cell_type": "code", - "execution_count": 35, + "execution_count": 46, "metadata": {}, "outputs": [], "source": [ @@ -961,7 +968,7 @@ }, { "cell_type": "code", - "execution_count": 36, + "execution_count": 49, "metadata": {}, "outputs": [], "source": [ @@ -970,7 +977,7 @@ }, { "cell_type": "code", - "execution_count": 37, + "execution_count": 50, "metadata": {}, "outputs": [], "source": [ @@ -979,7 +986,7 @@ }, { "cell_type": "code", - "execution_count": 42, + "execution_count": 51, "metadata": {}, "outputs": [], "source": [ @@ -1012,12 +1019,14 @@ }, { "cell_type": "code", - "execution_count": 43, + "execution_count": 84, "metadata": {}, "outputs": [], "source": [ "m_values = np.logspace(-14, -4, 16) #in solar masses\n", - "local_stellar_density = 0.1 * 1e9 # solar mass per cubic kpc\n", + "local_stellar_density = 0.1 * 1e9 # number of stars per cubic kpc\n", + "# local_stellar_density = 0.04 * 1e9 # solar mass per cubic kpc\n", + "\n", "p_values_mass = np.array([0.66, 1, 1.33])\n", "\n", "def get_num_density(Z, M, M_norm, p):\n", @@ -1032,14 +1041,14 @@ }, { "cell_type": "code", - "execution_count": 44, + "execution_count": 72, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ - "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_28006/3650205838.py:12: IntegrationWarning: The maximum number of subdivisions (50) has been achieved.\n", + "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_84256/510581791.py:14: IntegrationWarning: The maximum number of subdivisions (50) has been achieved.\n", " If increasing the limit yields no improvement it is advised to analyze \n", " the integrand in order to determine the difficulties. If the position of a \n", " local difficulty can be determined (singularity, discontinuity) one will \n", @@ -1058,9 +1067,18 @@ }, { "cell_type": "code", - "execution_count": 56, + "execution_count": 54, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_84256/3985790510.py:8: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", + " dnds = quad(diff_rates_interp, min(ms), max(ms), epsabs=0, epsrel=1e-1)[0]\n" + ] + } + ], "source": [ "n_objects_dict_mass = {}\n", "for p_val in p_values_mass:\n", @@ -1069,16 +1087,16 @@ }, { "cell_type": "code", - "execution_count": 60, + "execution_count": 85, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "43671559.33618453" + "44400204.65117249" ] }, - "execution_count": 60, + "execution_count": 85, "metadata": {}, "output_type": "execute_result" } @@ -1132,12 +1150,12 @@ }, { "cell_type": "code", - "execution_count": 68, + "execution_count": 86, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", + "image/png": 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", "text/plain": [ "
" ] @@ -1147,7 +1165,6 @@ } ], "source": [ - "#! RERUN!!!\n", "au3_to_pc3 = 1.0 / (206265.0 ** 3)\n", "\n", "plt.figure()\n", @@ -1198,7 +1215,7 @@ "# ticks on right side\n", "ax2.tick_params(axis='y', direction='in', which='both')\n", "\n", - "# plt.savefig('figures/number_density_iso_mass.pdf')\n", + "# plt.savefig('figures/number_density_iso_mass_new.pdf')\n", "\n", "plt.show()" ] @@ -1220,7 +1237,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 63, "metadata": {}, "outputs": [], "source": [ @@ -1234,14 +1251,21 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 64, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ - "Computing differential rates for MW (finite=True): 100%|██████████| 40/40 [04:34<00:00, 6.86s/it]\n", + "Computing differential rates for MW (finite=True): 0%| | 0/40 [00:00" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Create a figure and a grid of subplots\n", + "fig, axs = plt.subplots(2)\n", + "ti = 0.07\n", + "tf = 3\n", + "\n", + "# First subplot\n", + "axs[0].loglog(ts, diff_rates_finite_mw_60*z_earth, label=\"60km/s\", linestyle='-.')\n", + "axs[0].loglog(ts, diff_rates_finite_mw*z_earth, label=\"30km/s\", linestyle='-')\n", + "axs[0].loglog(ts, diff_rates_finite_mw_15*z_earth, label=\"15km/s\", linestyle=':')\n", + "\n", + "axs[0].axvline(ti, color='black', linestyle='--')\n", + "axs[0].axvline(tf, color='black', linestyle='--')\n", + "\n", + "axs[0].set_title('Milky Way')\n", + "axs[0].set_xlim(min(ts)*1.8, max(ts))\n", + "\n", + "# axs[0].set_ylim(1e-24,5e-19)\n", + "axs[0].set_ylim(5e-26*z_earth,1e-19*z_earth)\n", + "\n", + "axs[0].legend(loc='lower center')\n", + "\n", + "# Second subplot\n", + "axs[1].loglog(ts, diff_rates_finite_m31_120*z_earth, label=\"120km/s \", linestyle='-.')\n", + "axs[1].loglog(ts, diff_rates_finite_m31*z_earth, label=\"60km/s \", linestyle='-')\n", + "axs[1].loglog(ts, diff_rates_finite_m31_30*z_earth, label=\"30km/s \", linestyle=':')\n", + "\n", + "axs[1].axvline(ti, color='black', linestyle='--')\n", + "axs[1].axvline(tf, color='black', linestyle='--')\n", + "\n", + "axs[1].set_xlabel(r\"$t_{\\rm{dur}}$ [h]\")\n", + "# axs[1].set_xlabel(r\"$t_{\\rm{FWHM}}$ [h]\")\n", + "axs[1].set_title('M31')\n", + "axs[1].set_xlim(min(ts)*1.8, max(ts))\n", + "axs[1].set_ylim(1e-29*z_earth,1e-20*z_earth)\n", + "axs[1].legend(loc='lower center')\n", + "\n", + "fig.text(0.01, 0.5, r\"$d\\Gamma/dt$ [events/star/hr/hr]\", va='center', rotation='vertical', fontsize=24) \n", + "\n", + "# plt.savefig('figures/differential_rate_velocity_new.pdf')\n", + "# Show plot\n", + "# plt.tight_layout()\n", + "plt.show()\n" + ] + }, { "cell_type": "code", "execution_count": 13, diff --git a/examples/mock_roman.ipynb b/examples/mock_roman.ipynb index 04e78bc..1d4c946 100644 --- a/examples/mock_roman.ipynb +++ b/examples/mock_roman.ipynb @@ -58,7 +58,18 @@ "cell_type": "code", "execution_count": 3, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "roman_df = pd.read_csv('roman_sensitivity.csv', header=None, names=['t_e [days]', 'efficiency'])\n", "roman_efficiency_interp = interp1d(roman_df['t_e [days]'], roman_df['efficiency'])\n", @@ -71,7 +82,9 @@ " return roman_df['efficiency'][0]\n", " if t_day >= np.max(roman_df['t_e [days]']):\n", " return roman_df['efficiency'][len(roman_df)-1]\n", - " return(roman_efficiency_interp(t_day))" + " return(roman_efficiency_interp(t_day))\n", + "\n", + "roman_efficiency" ] }, { @@ -88,15 +101,59 @@ "# return 1.0\n" ] }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([0.])" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "ut_func_new(16.0, 1.01)" + ] + }, { "cell_type": "code", "execution_count": 5, "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "1.0110577817940616" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "magnification(3.4)" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, "outputs": [], "source": [ "#A_t of 1.06 corresponds to u_t_point of ~2, which is what popsycle uses as u_0_max\n", + "#A_t of 1.01 corresponds to u_t_point of ~3.5, which is Johnson uses as 0.01 mag sensitivity\n", + "\n", "survey_param_dict = {\n", - " \"mock_roman\": {\"l\": 1.0, \"b\": -1.03, \"source_dist\": 8.5, \"obs_time\": 1825*24, \"cadence\": 15/60, \"n_sources\": 1e7, \"efficiency\": roman_efficiency, \"A_t\": 1.06, \"survey_area\":0},\n", + " \"mock_roman\": {\"l\": 1.0, \"b\": -1.03, \"source_dist\": 8.5, \"obs_time\": 6*72*24, \"cadence\": 15/60, \"n_sources\": 2.4e8, \"efficiency\": roman_efficiency, \"A_t\": 1.34, \"survey_area\":0},\n", + "\n", + " # \"mock_roman\": {\"l\": 1.0, \"b\": -1.03, \"source_dist\": 8.5, \"obs_time\": 1825*24, \"cadence\": 15/60, \"n_sources\": 1e7, \"efficiency\": roman_efficiency, \"A_t\": 1.06, \"survey_area\":0},\n", " # \"mock_roman\": {\"l\": 1.0, \"b\": -1.03, \"source_dist\": 8.5, \"obs_time\": 1825*24, \"cadence\": 15/60, \"n_sources\": 1e7, \"efficiency\": roman_efficiency, \"A_t\": 1.34, \"survey_area\":0},\n", "\n", "}" @@ -104,7 +161,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 11, "metadata": {}, "outputs": [], "source": [ @@ -121,7 +178,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 12, "metadata": {}, "outputs": [], "source": [ @@ -151,16 +208,16 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "Survey(l=1.0, b=-1.03, source_dist=8.5, obs_time=43800, cadence = 0.25, survey_area=0, n_sources=10000000.0, efficiency=)" + "Survey(l=1.0, b=-1.03, source_dist=8.5, obs_time=10368, cadence = 0.25, survey_area=0, n_sources=240000000.0, efficiency=)" ] }, - "execution_count": 8, + "execution_count": 13, "metadata": {}, "output_type": "execute_result" } @@ -169,6 +226,53 @@ "s" ] }, + { + "cell_type": "code", + "execution_count": 86, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "1.628248974008208e-07" + ] + }, + "execution_count": 86, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "#Estimates\n", + "#Finite-source important when U >= 1ish. M ~ Rs^2/(4 G d_s) (dL/ds)\n", + "(2.3e-8)**2 / (4 * 4.3e-3 * 8.5e3) *(1/2)*(3e5)**2/(3e-6) #estimated finite source cutoff in earth masses\n", + "(2.3e-8)**2 / (4 * 4.3e-3 * 8.5e3) *(1/2)*(3e5)**2 #estimated finite source cutoff in sol masses for U = 1\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0.0542749658002736\n", + "1.628248974008208e-07\n" + ] + } + ], + "source": [ + "Rs_pc = 2.3e-8\n", + "G_pc = 4.3e-3\n", + "ds_pc = 8.5e3\n", + "dl_pc = ds_pc/2 # Try 3/4 of the way to the source instead\n", + "print(Rs_pc**2 / (4 * G_pc * ds_pc) *(dl_pc/ds_pc)*(3e5)**2/(3e-6) )\n", + "print(Rs_pc**2 / (4 * G_pc * ds_pc*(1-dl_pc/ds_pc)) *(dl_pc/ds_pc)*(3e5)**2/2 ) #Location in solar masses\n" + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -178,7 +282,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 10, "metadata": {}, "outputs": [], "source": [ @@ -203,7 +307,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 11, "metadata": {}, "outputs": [ { @@ -223,7 +327,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 7, "metadata": {}, "outputs": [], "source": [ @@ -268,14 +372,200 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "m_arr = np.logspace(-10, -1, num=20)\n", + "rates = []\n", + "for m in tqdm(m_arr):\n", + " s.add_pbh(m)\n", + " rates.append(s.pbh.rate_mw(True, tcad=s.cadence, tobs=s.obs_time, efficiency=s.efficiency))\n", + "rates = np.array(rates)" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 24, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#new\n", + "plt.loglog(m_arr, rates * s.n_sources * s.obs_time)" + ] + }, + { + "cell_type": "code", + "execution_count": 183, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 183, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#w efficiency\n", + "plt.loglog(m_arr, rates * s.n_sources * s.obs_time)" + ] + }, + { + "cell_type": "code", + "execution_count": 184, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + " 10%|█ | 3/30 [00:00<00:00, 28.47it/s]" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + " 20%|██ | 6/30 [00:00<00:00, 28.31it/s]/Users/nolansmyth/opt/anaconda3/lib/python3.9/site-packages/scipy/integrate/_quadpack_py.py:1233: IntegrationWarning: The algorithm does not converge. Roundoff error is detected\n", + " in the extrapolation table. It is assumed that the requested tolerance\n", + " cannot be achieved, and that the returned result (if full_output = 1) is \n", + " the best which can be obtained.\n", + " quad_r = quad(f, low, high, args=args, full_output=self.full_output,\n", + "/Users/nolansmyth/opt/anaconda3/lib/python3.9/site-packages/scipy/integrate/_quadpack_py.py:1233: IntegrationWarning: The maximum number of subdivisions (50) has been achieved.\n", + " If increasing the limit yields no improvement it is advised to analyze \n", + " the integrand in order to determine the difficulties. If the position of a \n", + " local difficulty can be determined (singularity, discontinuity) one will \n", + " probably gain from splitting up the interval and calling the integrator \n", + " on the subranges. Perhaps a special-purpose integrator should be used.\n", + " quad_r = quad(f, low, high, args=args, full_output=self.full_output,\n", + "100%|██████████| 30/30 [00:57<00:00, 1.90s/it]\n" + ] + } + ], + "source": [ + "t_es = np.logspace(-2, 4.8, 30) #hours\n", + "diff_rates = np.array([s.pbh.differential_rate_mw(t, finite=True) for t in tqdm(t_es)])" + ] + }, + { + "cell_type": "code", + "execution_count": 185, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "8133.374025550973" + ] + }, + "execution_count": 185, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "rates[-1] * s.n_sources * s.obs_time" + ] + }, + { + "cell_type": "code", + "execution_count": 186, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "8532.059705356358" + ] + }, + "execution_count": 186, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "diff_rate_interp = interp1d(t_es, diff_rates)\n", + "def gamma_wrapper_test(t):\n", + " return diff_rate_interp(t) * s.efficiency(t)\n", + "quad(gamma_wrapper_test, 0.25, 24*72*6, epsabs=0, epsrel=1e-1)[0] * 2.4e8 * 24*72*6" + ] + }, + { + "cell_type": "code", + "execution_count": 187, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 187, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.loglog(t_es,diff_rates)" + ] + }, + { + "cell_type": "code", + "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ - " 0%| | 0/40 [00:00" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# plt.loglog(data_structure['pbh'][True][250][1e-12][0.1]['t_es'], data_structure['pbh'][True][250][1e-12][0.1]['calculated_values'])\n", - "# plt.loglog(data_structure['pbh'][True][250][1e2][0.1]['t_es'], data_structure['pbh'][True][250][1e2][0.1]['calculated_values'])\n", - "\n", - "# plt.loglog(data_structure['pbh'][True][250][1e-12][1.5]['t_es'], data_structure['pbh'][True][250][1e-12][1.5]['calculated_values'])\n", - "plt.loglog(data_structure['pbh'][True][250][1e2][1.0]['t_es'], data_structure['pbh'][True][250][1e2][1.0]['calculated_values'], ls='--')\n", - "\n", - "plt.ylim(1e-30, 1e-10)" - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", 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" + "
" ] }, "metadata": {}, @@ -556,12 +881,12 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 58, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -576,7 +901,7 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 66, "metadata": {}, "outputs": [], "source": [ @@ -605,51 +930,17 @@ "\n", " # Evaluate the gamma values at the points in the grid\n", " gamma_values_grid = np.array(gamma_values).reshape(len(p_arr), (len(t_es_limited)))\n", - " # dgammadt_values_grid = np.array(dgammadt_values).reshape(len(p_arr), (len(np.unique(t_values))))\n", + " dgammadt_values_grid = np.array(dgammadt_values).reshape(len(p_arr), (len(np.unique(t_values))))\n", "\n", " # Create an interpolating function\n", - " gamma_interpolating_function = RegularGridInterpolator((p_arr, t_es_limited), gamma_values_grid, method='linear')\n", + " # gamma_interpolating_function = RegularGridInterpolator((p_arr, t_es_limited), gamma_values_grid, method='linear')\n", + " gamma_interpolating_function = RegularGridInterpolator((np.log10(p_arr), np.log10(t_es_limited)), np.log10(gamma_values_grid), method='linear')\n", " # dgammadt_interpolating_function = RegularGridInterpolator((p_arr, np.unique(t_values)), dgammadt_values_grid, method='linear')\n", - " # dgammadt_interpolating_function = RegularGridInterpolator((np.log10(p_arr), np.log10(np.unique(t_values))), np.log10(dgammadt_values_grid), method='linear')\n", + " dgammadt_interpolating_function = RegularGridInterpolator((np.log10(p_arr), np.log10(np.unique(t_values))), np.log10(dgammadt_values_grid), method='linear')\n", "\n", "\n", - " return gamma_interpolating_function\n", - " # return dgammadt_interpolating_function\n", - "\n", - "# def create_gamma_interp_pbh(data_structure):\n", - "\n", - "\n", - "# t_values = []\n", - "# m_values = []\n", - "# gamma_values = []\n", - "# dgammadt_values = []\n", - "\n", - "# for idx, (entity, entity_data) in enumerate(data_structure.items()):\n", - "# if entity != \"pbh\":\n", - "# continue\n", - "# for finite_val, finite_data in entity_data.items():\n", - "# for v_disp, v_disp_data in finite_data.items():\n", - "# for p_or_mass, p_or_mass_data in v_disp_data.items():\n", - "\n", - "# t_es_limited = np.logspace(np.log10(np.min(p_or_mass_data['t_es']))+0.1, np.log10(np.max(p_or_mass_data['t_es']))-0.1, 60)\n", - "# gammas = np.array([gamma_of_t(p_or_mass_data['calculated_values'], t, t_es=p_or_mass_data['t_es']) for t in t_es_limited])\n", - "# t_values.extend(p_or_mass_data['t_es'])\n", - "# m_values.extend([p_or_mass] * len(np.unique(t_values)))\n", - "# gamma_values.extend(gammas)\n", - "# dgammadt_values.extend(p_or_mass_data['calculated_values'])\n", - " \n", - "\n", - "# # Evaluate the gamma values at the points in the grid\n", - "# # gamma_values_grid = np.array(gamma_values).reshape(len(pbh_masses), (len(t_es_limited)))\n", - "# dgammadt_values_grid = np.array(dgammadt_values).reshape(len(pbh_masses), (len(np.unique(t_values))))\n", - "# # Create an interpolating function\n", - "# # gamma_interpolating_function = RegularGridInterpolator((pbh_masses, t_es_limited), gamma_values_grid, method='linear')\n", - " \n", - "# # dgammadt_interpolating_function = RegularGridInterpolator((pbh_masses, np.unique(t_values)), dgammadt_values_grid, method='linear')\n", - "# dgammadt_interpolating_function = RegularGridInterpolator((np.log10(pbh_masses), np.log10(np.unique(t_values))), np.log10(dgammadt_values_grid), method='linear')\n", - "\n", - "# # return gamma_interpolating_function\n", - "# return dgammadt_interpolating_function\n", + " # return gamma_interpolating_function\n", + " return dgammadt_interpolating_function, gamma_interpolating_function\n", "\n", "def create_gamma_interp_pbh(data_structure):\n", " t_values = []\n", @@ -688,21 +979,33 @@ " unique_t = np.unique(t_values)\n", " unique_t_limited = np.unique(t_values_limited)\n", " unique_m = np.unique(m_values)\n", - " unique_sigma = np.unique(sigma_values)\n", + " # unique_sigma = np.unique(sigma_values)\n", " \n", " # Reshaping data for grid interpolation\n", - " dgammadt_values_grid = np.array(dgammadt_values).reshape(len(unique_m), len(unique_sigma), len(unique_t))\n", - " gamma_values_grid = np.array(gamma_values).reshape(len(unique_m), len(unique_sigma), len(unique_t_limited))\n", + " # dgammadt_values_grid = np.array(dgammadt_values).reshape(len(unique_m), len(unique_sigma), len(unique_t))\n", + " # gamma_values_grid = np.array(gamma_values).reshape(len(unique_m), len(unique_sigma), len(unique_t_limited))\n", + " dgammadt_values_grid = np.array(dgammadt_values).reshape(len(unique_m), len(unique_t))\n", + " gamma_values_grid = np.array(gamma_values).reshape(len(unique_m), len(unique_t_limited))\n", " \n", " # Creating interpolation functions in 3D (log-log-log space may be useful, depending on your data)\n", + " # dgammadt_interpolating_function = RegularGridInterpolator(\n", + " # (np.log10(unique_m), np.log10(unique_sigma), np.log10(unique_t)), \n", + " # np.log10(dgammadt_values_grid), \n", + " # method='linear'\n", + " # )\n", " dgammadt_interpolating_function = RegularGridInterpolator(\n", - " (np.log10(unique_m), np.log10(unique_sigma), np.log10(unique_t)), \n", + " (np.log10(unique_m), np.log10(unique_t)), \n", " np.log10(dgammadt_values_grid), \n", " method='linear'\n", " )\n", "\n", + " # gamma_interpolating_function = RegularGridInterpolator(\n", + " # (np.log10(unique_m), np.log10(unique_sigma), np.log10(unique_t_limited)), \n", + " # np.log10(gamma_values_grid), \n", + " # method='linear'\n", + " # )\n", " gamma_interpolating_function = RegularGridInterpolator(\n", - " (np.log10(unique_m), np.log10(unique_sigma), np.log10(unique_t_limited)), \n", + " (np.log10(unique_m), np.log10(unique_t_limited)), \n", " np.log10(gamma_values_grid), \n", " method='linear'\n", " )\n", @@ -712,91 +1015,80 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 14, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_19947/3285702519.py:8: RuntimeWarning: divide by zero encountered in log10\n", + " diff_rates_interp_log = interp1d(np.log10(t_es), np.log10(dgamma_dt))\n", + "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_19947/3149792135.py:125: RuntimeWarning: divide by zero encountered in log10\n", + " np.log10(dgammadt_values_grid),\n", + "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_19947/3149792135.py:136: RuntimeWarning: divide by zero encountered in log10\n", + " np.log10(gamma_values_grid),\n" + ] + } + ], "source": [ "dgammadt_interpolating_function_pbh, gamma_interpolating_function_pbh = create_gamma_interp_pbh(data_structure)\n", - "# pickle.dump(dgammadt_interpolating_function_pbh, open(\"interps/dgammadt_func_pbh_finite_sigma_15.p\", \"wb\"))\n", - "# pickle.dump(gamma_interpolating_function_pbh, open(\"interps/gamma_func_pbh_finite_sigma_15.p\", \"wb\"))\n", "\n", - "# pickle.dump(dgammadt_interpolating_function_pbh, open(\"interps/dgammadt_func_pbh_finite_sigma_10.p\", \"wb\"))\n", - "# pickle.dump(gamma_interpolating_function_pbh, open(\"interps/gamma_func_pbh_finite_sigma_10.p\", \"wb\"))\n" + "# pickle.dump(dgammadt_interpolating_function_pbh, open(\"interps/dgammadt_func_pbh_finite_mono_new.p\", \"wb\"))\n", + "# pickle.dump(gamma_interpolating_function_pbh, open(\"interps/gamma_func_pbh_finite_sigma_mono_new.p\", \"wb\"))\n", + "\n", + "# pickle.dump(dgammadt_interpolating_function_pbh, open(\"interps/dgammadt_func_pbh_finite_sigma_all_new.p\", \"wb\"))\n", + "# pickle.dump(gamma_interpolating_function_pbh, open(\"interps/gamma_func_pbh_finite_sigma_all_new.p\", \"wb\"))\n" ] }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 30, "metadata": {}, "outputs": [], "source": [ - "# dgammadt_func_pbh_finite = create_gamma_interp_pbh(data_structure)\n", - "# pickle.dump(dgammadt_func_pbh_finite, open(\"interps/dgammadt_func_pbh_finite.p\", \"wb\"))\n", - "dgammadt_func_pbh_finite = pickle.load(open(\"interps/dgammadt_func_pbh_finite.p\", \"rb\"))" + "dgammadt_func_pbh_finite = dgammadt_interpolating_function_pbh" ] }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 125, "metadata": {}, "outputs": [], "source": [ - "# gamma_func_pbh_finite = create_gamma_interp_pbh(data_structure)\n", - "# pickle.dump(gamma_func_pbh_finite, open(\"interps/gamma_func_pbh_finite.p\", \"wb\"))\n", - "# gamma_func_pbh_point = create_gamma_interp_pbh(data_structure)\n", - "# pickle.dump(gamma_func_pbh_point, open(\"interps/gamma_func_pbh_point.p\", \"wb\"))\n", - "gamma_func_pbh = pickle.load(open(\"interps/gamma_func_pbh_point.p\", \"rb\"))\n", - "gamma_func_pbh_finite = pickle.load(open(\"interps/gamma_func_pbh_finite.p\", \"rb\"))\n" + "# dgammadt_func_pbh_finite = pickle.load(open(\"interps/dgammadt_func_pbh_finite.p\", \"rb\"))\n", + "dgammadt_func_pbh_finite = pickle.load(open(\"interps/dgammadt_func_pbh_finite_mono_new.p\", \"rb\"))\n", + "gamma_func_pbh_finite = pickle.load(open(\"interps/gamma_func_pbh_finite_sigma_mono_new.p\", \"rb\"))\n" ] }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 130, "metadata": {}, "outputs": [], "source": [ - "gamma_interpolating_function_pbh = pickle.load(open(\"interps/gamma_func_pbh_finite_sigma.p\", \"rb\"))\n", - "dgammadt_interpolating_function_pbh = pickle.load(open(\"interps/dgammadt_func_pbh_finite_sigma.p\", \"rb\"))" - ] - }, - { - "cell_type": "code", - "execution_count": 23, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "array([-14.98775702])" - ] - }, - "execution_count": 23, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "gamma_interpolating_function_pbh([[np.log10(1e-10), np.log10(0.1), np.log10(1)]])" + "dgammadt_interpolating_function_pbh = pickle.load(open(\"interps/dgammadt_func_pbh_finite_sigma_all_new.p\", \"rb\"))\n", + "# gamma_interpolating_function_pbh = pickle.load(open(\"interps/gamma_func_pbh_finite_sigma_all.p\", \"rb\"))\n" ] }, { "cell_type": "code", - "execution_count": 33, + "execution_count": 69, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 33, + "execution_count": 69, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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", + "image/png": 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", "text/plain": [ "
" ] @@ -806,13 +1098,15 @@ } ], "source": [ - "t_es_extended = np.logspace(-1.9, 4.5, 100) #hours\n", + "t_es_extended = np.logspace(-0.9, 4.4, 100) #hours\n", "m_arr_extended = np.logspace(-8, np.log10(30), 2)\n", "\n", "for m in m_arr_extended:\n", " # plt.plot(t_es_extended, np.array([gamma_func_pbh([[m, t]]) for t in t_es_extended]).flatten(), label=f\"m={m:.1e}\")\n", - " plt.plot(t_es_extended, np.array([gamma_func_pbh_finite([[m, t]]) for t in t_es_extended]).flatten(), label=f\"m={m:.1e} (finite)\", ls=\"--\")\n", - " plt.plot(t_es_extended, 10**np.array([gamma_interpolating_function_pbh([[np.log10(m), np.log10(1.5), np.log10(t)]]) for t in t_es_extended]).flatten(), label=f\"m={m:.1e} (finite)\", ls=\":\")\n", + " # plt.plot(t_es_extended, np.array([gamma_func_pbh_finite([[m, t]]) for t in t_es_extended]).flatten(), label=f\"m={m:.1e} (finite)\", ls=\"--\")\n", + " plt.plot(t_es_extended, 10**np.array([gamma_func_pbh_finite([[np.log10(m), np.log10(t)]]) for t in t_es_extended]).flatten(), label=f\"m={m:.1e} (finite)\", ls=\"--\")\n", + "\n", + " plt.plot(t_es_extended, 10**np.array([gamma_interpolating_function_pbh([[np.log10(m), np.log10(0.1), np.log10(t)]]) for t in t_es_extended]).flatten(), label=f\"m={m:.1e} (finite)\", ls=\":\")\n", "\n", "\n", "plt.xlabel(r'$t_E$ [hours]')\n", @@ -827,13 +1121,16 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 68, "metadata": {}, "outputs": [], "source": [ "# dgammadt_func_ffp_finite = create_gamma_interp_ffp(data_structure)\n", - "# pickle.dump(dgammadt_func_ffp_finite, open(\"interps/dgammadt_func_ffp_finite.p\", \"wb\"))\n", - "dgammadt_func_ffp_finite = pickle.load(open(\"interps/dgammadt_func_ffp_finite.p\", \"rb\"))" + "dgammadt_func_ffp_finite, gamma_func_ffp_finite = create_gamma_interp_ffp(data_structure)\n", + "# pickle.dump(dgammadt_func_ffp_finite, open(\"interps/dgammadt_func_ffp_finite_new.p\", \"wb\"))\n", + "# pickle.dump(gamma_func_ffp_finite, open(\"interps/gamma_func_ffp_finite_new.p\", \"wb\"))\n", + "\n", + "# dgammadt_func_ffp_finite = pickle.load(open(\"interps/dgammadt_func_ffp_finite.p\", \"rb\"))\n" ] }, { @@ -853,7 +1150,7 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 305, "metadata": {}, "outputs": [], "source": [ @@ -878,7 +1175,7 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 306, "metadata": {}, "outputs": [], "source": [ @@ -888,20 +1185,23 @@ }, { "cell_type": "code", - "execution_count": 24, + "execution_count": 307, "metadata": {}, "outputs": [ { - "name": "stderr", - "output_type": "stream", - "text": [ - "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_53778/2629412168.py:34: UserWarning: Tight layout not applied. tight_layout cannot make axes height small enough to accommodate all axes decorations.\n", - " plt.tight_layout()\n" + "ename": "NameError", + "evalue": "name 'p_arr' is not defined", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_1609/2629412168.py\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0;31m# Create a 1x2 grid of subplots (1 row, 2 columns)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 2\u001b[0m \u001b[0mfig\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0maxes\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0msubplots\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m2\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;36m1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mfigsize\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m8\u001b[0m\u001b[0;34m,\u001b[0m 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'p_arr' is not defined" ] }, { "data": { - "image/png": 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", + "image/png": 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", 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" ] @@ -948,6 +1248,65 @@ "plt.show()" ] }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [], + "source": [ + "def gamma_wrapper_pbh_lognorm(m, sigma, t):\n", + " return 10**(dgammadt_interpolating_function_pbh([[np.log10(m), np.log10(sigma), np.log10(t)]]))[0] * s.efficiency(t)" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [], + "source": [ + "ts = np.logspace(-1, 2.9, 100)\n", + "m = 1e-7\n", + "diff_rate_15 = np.array([gamma_wrapper_pbh_lognorm(m, 1.5, t) for t in ts])\n", + "diff_rate_1 = np.array([gamma_wrapper_pbh_lognorm(m, 1, t) for t in ts])\n", + "diff_rate_01 = np.array([gamma_wrapper_pbh_lognorm(m, 0.1, t) for t in ts])\n" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.loglog(ts, diff_rate_01, label=\"sigma = 0.1\")\n", + "plt.loglog(ts, diff_rate_1, label=\"sigma = 1\")\n", + "# plt.loglog(ts, diff_rate_15, label=\"sigma = 1.5\")\n", + "plt.ylim(1e-11, 1e-5)\n", + "plt.xlim(1e-1, 1e2)\n", + "\n", + "plt.legend()" + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -957,7 +1316,7 @@ }, { "cell_type": "code", - "execution_count": 29, + "execution_count": 178, "metadata": {}, "outputs": [ { @@ -966,12 +1325,13 @@ "0.6667291964938795" ] }, - "execution_count": 29, + "execution_count": 178, "metadata": {}, "output_type": "execute_result" } ], "source": [ + "#Translate between mass function normalization between us and Johnson\n", "(95**(0.73) * 0.24)/10" ] }, @@ -997,7 +1357,7 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 128, "metadata": {}, "outputs": [], "source": [ @@ -1005,370 +1365,873 @@ " def gamma_wrapper(t):\n", " return 10**(dgammadt_func_ffp_finite([[np.log10(p), np.log10(t)]])) * s.efficiency(t)\n", " # return quad(gamma_wrapper, 0.25, 1825*24, epsabs=0, epsrel=1e-1)[0] * s.n_sources * s.obs_time \n", - " return quad(gamma_wrapper, 0.25, 24*72*6, epsabs=0, epsrel=1e-1)[0] * 2.4e8 * 24*72*6\n", + " return quad(gamma_wrapper, 0.25, 24*72*6, epsabs=0, epsrel=1e-1, points=[1, 10])[0] * 2.4e8 * 24*72*6\n", "\n", "def yield_pbh(m):\n", " def gamma_wrapper(t):\n", " return 10**(dgammadt_func_pbh_finite([[np.log10(m), np.log10(t)]])) * s.efficiency(t)\n", - " return quad(gamma_wrapper, 0.25, 1825*24, epsabs=0, epsrel=1e-1)[0] * s.n_sources * s.obs_time \n", + " # return quad(gamma_wrapper, 0.25, 1825*24, epsabs=0, epsrel=1e-1)[0] * s.n_sources * s.obs_time \n", + " return quad(gamma_wrapper, 0.25, 24*72*6, epsabs=0, epsrel=1e-1)[0] * 2.4e8 * 24*72*6\n", "\n", "def yield_pbh_lognorm(m, sigma):\n", " def gamma_wrapper(t):\n", " return 10**(dgammadt_interpolating_function_pbh([[np.log10(m), np.log10(sigma), np.log10(t)]])) * s.efficiency(t)\n", - " return quad(gamma_wrapper, 0.25, 1825*24, epsabs=0, epsrel=1e-1)[0] * s.n_sources * s.obs_time " + " # return quad(gamma_wrapper, 0.25, 1825*24, epsabs=0, epsrel=1e-1)[0] * s.n_sources * s.obs_time \n", + " return quad(gamma_wrapper, 0.25, 24*72*6, epsabs=0, epsrel=1e-1)[0] * 2.4e8 * 24*72*6\n" ] }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 63, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.4625" + ] + }, + "execution_count": 63, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "0.925/2" + ] + }, + { + "cell_type": "code", + "execution_count": 70, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "316.64084819172757" + ] + }, + "execution_count": 70, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "yield_ffp(0.73)*0.667 " + ] + }, + { + "cell_type": "code", + "execution_count": 132, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ - "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_84609/3471871628.py:5: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", + "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_20073/3970690004.py:11: IntegrationWarning: The algorithm does not converge. Roundoff error is detected\n", + " in the extrapolation table. It is assumed that the requested tolerance\n", + " cannot be achieved, and that the returned result (if full_output = 1) is \n", + " the best which can be obtained.\n", + " return quad(gamma_wrapper, 0.25, 24*72*6, epsabs=0, epsrel=1e-1)[0] * 2.4e8 * 24*72*6\n", + "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_20073/3970690004.py:11: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", + " return quad(gamma_wrapper, 0.25, 24*72*6, epsabs=0, epsrel=1e-1)[0] * 2.4e8 * 24*72*6\n", + "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_20073/3970690004.py:17: IntegrationWarning: The algorithm does not converge. Roundoff error is detected\n", + " in the extrapolation table. It is assumed that the requested tolerance\n", + " cannot be achieved, and that the returned result (if full_output = 1) is \n", + " the best which can be obtained.\n", + " return quad(gamma_wrapper, 0.25, 24*72*6, epsabs=0, epsrel=1e-1)[0] * 2.4e8 * 24*72*6\n", + "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_20073/3970690004.py:17: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", + " return quad(gamma_wrapper, 0.25, 24*72*6, epsabs=0, epsrel=1e-1)[0] * 2.4e8 * 24*72*6\n", + "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_20073/3970690004.py:17: IntegrationWarning: The maximum number of subdivisions (50) has been achieved.\n", + " If increasing the limit yields no improvement it is advised to analyze \n", + " the integrand in order to determine the difficulties. If the position of a \n", + " local difficulty can be determined (singularity, discontinuity) one will \n", + " probably gain from splitting up the interval and calling the integrator \n", + " on the subranges. Perhaps a special-purpose integrator should be used.\n", " return quad(gamma_wrapper, 0.25, 24*72*6, epsabs=0, epsrel=1e-1)[0] * 2.4e8 * 24*72*6\n" ] + } + ], + "source": [ + "masses_dense = np.logspace(-10, 1, 100)\n", + "yields_mono = np.array([yield_pbh(m) for m in masses_dense])\n", + "yields_sigma_1 = np.array([yield_pbh_lognorm(m, 1) for m in masses_dense])\n", + "yields_sigma_05 = np.array([yield_pbh_lognorm(m, 0.5) for m in masses_dense])\n", + "yields_sigma_01 = np.array([yield_pbh_lognorm(m, 0.1) for m in masses_dense])\n" + ] + }, + { + "cell_type": "code", + "execution_count": 133, + "metadata": {}, + "outputs": [], + "source": [ + "from scipy.signal import savgol_filter" + ] + }, + { + "cell_type": "code", + "execution_count": 166, + "metadata": {}, + "outputs": [], + "source": [ + "window_length = 8\n", + "polyorder = 1\n", + "yields_mono_smooth = savgol_filter(yields_mono, window_length, polyorder)\n", + "yields_sigma_05_smooth = savgol_filter(yields_sigma_05, window_length, polyorder)\n", + "yields_sigma_1_smooth = savgol_filter(yields_sigma_1, window_length, polyorder)\n", + "yields_sigma_01_smooth = savgol_filter(yields_sigma_01, window_length, polyorder)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 182, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 182, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# plt.plot(masses_dense, yields_mono/yields_mono, label=\"Mono\")\n", + "# plt.plot(masses_dense, yields_sigma_1/yields_mono, label=\"Sigma = 1.0\")\n", + "# plt.plot(masses_dense, yields_sigma_05/yields_mono, label=\"Sigma = 0.5\")\n", + "# plt.plot(masses_dense, yields_sigma_01/yields_mono, label=\"Sigma = 0.1\")\n", + "plt.plot(masses_dense, yields_mono_smooth/yields_mono_smooth, label=\"Mono\")\n", + "plt.plot(masses_dense, yields_sigma_01_smooth/yields_mono_smooth, label=\"Sigma = 0.1\")\n", + "plt.plot(masses_dense, yields_sigma_05_smooth/yields_mono_smooth, label=\"Sigma = 0.5\")\n", + "plt.plot(masses_dense, yields_sigma_1_smooth/yields_mono_smooth, label=\"Sigma = 1.0\")\n", + "\n", + "plt.xscale(\"log\")\n", + "# plt.yscale(\"log\")\n", + "# plt.ylim(1e2,1e6)\n", + "plt.xlabel(r\"$M_{\\rm{PBH}} [M_{\\odot}]$\")\n", + "plt.ylabel(\"Yield/Mono\")\n", + "plt.xlim(1e-10, 1e-2)\n", + "\n", + "plt.legend()\n", + "# plt.savefig(\"figures/pbh_estimated_yield.pdf\")" + ] + }, + { + "cell_type": "code", + "execution_count": 390, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 390, + "metadata": {}, + "output_type": "execute_result" }, { "data": { + "image/png": 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PR2o6eozpVMobAUtxytsCgFNAJP4xS3DyG2DzWoyV5WzJyawN3NvPHKO4urLOft3cvLjCvztD/bvS0cWzJmjr9HjqnGt/7aHT46p1uuA0D4vVSpmlipLqKkqqKykx1/y31FxFfmUZuwpOkHrmOKn5x+utw0OnJ8K3CxF+XbgmIIRxnXvjpNE26r0qipXSQ6vI2/IUlBwF4HB1F/5dcg8DIycxN7oXXi66Rv7JCSGEsDVHyGsSwluYI9xU0T5tP1bIre8nk1NciYcTfBiewqDTb6CYy1BpnPEe9jyeQx5FpW5csGwOi9VK0qnDLDuczFfHfqfSYj5vu5vWiSi/rgz178YV/t25wr8bga6t++/Eqlg5bDpD8pnsmlB+Jpsd+SfqjKT76d24I2QI9/SIZIhv50bN81bMlZj2JHDm15dRV9X8ILStMoy3KqYyYeRNPDSsO3pt86fBCCGEaBmOkNckhLcwR7ipov1ZkXaS+z7fSYXZyvWBhfy3YwLkbQfAufNw/GIWo/PqYbPrHyrK44P0ZD5KT+VEWVHt6708/bk6IJih/t240r8bYV4BlzQX21bMVgv7jbmk5GeTnJfN18f2cqrcVLt9gHcg9/SI4C8h4XRsxA8N1soijMmvUrjjDdTWmlH378qG8bnqAR65fhSTB3WShzeFEMKOHCGvSQhvYY5wU0X7oSgKL68/zLNrDwLwfI8d3F29CCyVqJw88LlmPh4DHkDVjLnOF2OqqmBF1i4+OJzM1tys2td99K7cETKE+3pENXoE2dGYrRYSTx7iw/TU80b0NSo147r05p4ekdzctR/6i0xXMRcfp2Dr85Ts/wgVCtWKho9LxpHi+zCvTriSfh09WuPtCCGE+BNHyGsSwluYI9xU0T5Umi1MW7HrbPcThc/6r2OoMQEAl+5j8Yt+C61H1xa9plWxsulUBsvSk1mTtad2CodapWJs597c1zOqUeH0clJYWcaKI7v4MD2F3/KO1r7u7eTC7SFDuLdHJJF+XS/4w0ZV3m7ytjxJ1bF1AJwy+/CiaTr9Iqfw3JheeDrLfHEhhGhNjpDXJIS3MEe4qaLtyyupZMKyZH7JKsRZbSZxwMd0yv8GAEPUHLyHvdiio9+VFjPvHd7Ooj0bySoprH29j6ED9/WM4q7QiFaf220PB4ty+TA9pc60m0E+nZjR+yruDA3HXadv8Pjyo0mcTpoFxUcAWFt2BW+bHybupmv5y5DL81MDIYS4HDlCXpMQ3sIc4aaKtm3f6WJufm87RwrK6O5Sxnc9/oNL4XZQa/EbFY9H//tb7FqVFjPvH97O/N0byC41AmBwcmZK8GDu6xnFUL9u7TI4WqxWNpxK54P0ZL44uoeKs9NVPHR67gwNZ2bvYQzwCaz3WKu5HONv/8SY+hoqxUKx1ZWFRXdyosPtvDlhEAMC5fuGEELYmiPkNQnhLcwRbqpou9YdzGXyR6mYKsxc61fAe36voC45gtrJQIebluPSbVSLXKfKYub9w8nM272+Nnx3cvVk7sDR3N9zKC5amT5xTkFlGR+mp7DkwK8cMuXVvn51hyBm9BnGxO4DcK7nz6sqbze5STOpzkkBILWyN88UPcTYK4bzwpjeGKSloRBC2Iwj5DUJ4S3MEW6qaJve3prFo1/+jsWq8ED3bJ7UvgCVhWg9gwi49UucfMMu+RpVFjPL0lOYtyuJY38I308MGMUDva6oN0yKGoqisPFUOosP/spXR3/HrFiBmlaH9/WMYnrvKwn19Dv/GKsF0+7FFPz8DJhLqFK0JBTfxirlL7x04yDujujSLj9pEEIIW3OEvCYhvIU5wk0VbYvFqvB/3+zlzS0184hfDdvNhJJXwFqNvuNQAm5ejcYt4JKuUW21sOzsyPfRs3O+A108iRs4kmm9rpTw3USnyky8e2gbSw/+xvE/zB0f07k3f+17NTd06XteuDYXZ5O/8VHKMr8D4Eh1IE8ZZ6INvJalkwfRp4N0URFCiJbkCHlNQngLc4SbKtqOKrOVKR+l8NXeHEDhy/D1DMh9GwDXnhPwH/s+aq1Ls89fbbXwwdmR73MPXHZ08SBuwCim9b7SYaedWKsqMBtPYq0owVpRXPNVWYK1vBjLud//YZtSVY7a1QutZwe0hgA0nh3QenZA43H2924+qNQt38bRbLXwXfZ+lhz8lXUnDqFQ8+12qF9XXoq4ntGBPWvDuKIolKV/wZmN/8BadgqAFaWjeKN0KvMnXMU9kS3b6UYIIdozR8hrEsJbmCPcVNE2/DGAu2stbBj0Kb45XwJgiHwc76v/eUkdUFLPHOe+LZ+xz5gDQICLB3EDRjK991UOE74Vq5XqvCNUHN9DZfbumv8e30PV6cNwdrpHi1Br0Hj4ofUMQOvZAZ1fMK49h+HS82qcAnq0yJSQzOJ83t6/lcUHt1JmrmntOKJjKC+FX8+wgKDa/SwVRgp/eZriPTXtJk+Y/fhHwT8YMDCG/4zvj5u+7bR/FEIIe3GEvCYhvIU5wk0Vl79qi5UpH6Xy5e+nCdCVsL5PfE0HFJUGv9HxePSf2vxzWy3M27Wel3clYVas+Du7ETdgFDP6XIWr1qkF30XTmEvya4J29h8C94m9KJWl9e6vcnJB7eKJWu+OxtkDtbMHahcP1Hr3ml+f+72zB2qdC5ayQsymXCymXMymnNpfW0ryL1iXxrMDrj1qArlrr2twCQpHdQl/TqfLTMzfvYElB3+lymoB4IYufXkpfByDfTvX7ldx4hfy1j2AuSgTi6LmTdNkNrrcw2d3D6W/dFARQohL4gh5TUJ4C3OEmyoub9UWK3d8nMqaPafp5GQiKfgV9KWHUTl5EnDTcly6jW72ufcZT3Pf5s9JzT8OQGzQQOKvmoifs1tLld8klScPULzjS4p3fEl5xrZ691Hp9Og7haHvMgB9lwE4dx2IvusAtIaOLTJCrZirMZecqQnnRTmYTTlUHv+dssO/UHEkGcVc9ad6nHEJjjobyq/GtccwNO4+Tb7usZJC/rkriWWHk7GcHdWPDRrIC0PG0cerAwDWShNnNj5C6YHPAPitsh9PFv2dp24dwQND22d7SCGEaAmOkNckhLcwR7ip4vJVbbHyl493sHrPKQJ0xWwMnYe+5CAa9850HP8tTr79mnVei9XKG/s28/SOtVRazHg7ufCfqyZwe/DgVg1yitVKeeb22uBddergedt1/iE4dx1wXuB2CuiByk4rcFqrK6nISqXs0M+UHf6F8sO/1Dty7tLjKjwiJuAZMR6ngNAmXeNwUR7Pp61jeWYaCgpqlYq7QiN4dnAMwR6+ABTv/5gzGx6F6hIKLe7MLXwY/74TeHviQDycZXqKEEI0lSPkNQnhLezcTe3VqxcajYZZs2Yxa9Yse5clLgPVFit3frKDVbtP0UFbwsYe83AuOYDGrROBsYnovHs267yZxflM3fI5W3JququM7dybd66ZTCdXQ0uW3yBrdSVl+zeeDd5fYS46XbtNpXXCLWw0HuG34T7kZnRe9S9w4ygURaHq9KGaQH42mFedPnTePvquA/GMmIBHxHj0XQc0+oecPQWneHbnWr4+thcAnVrDg72u4NnBMXRw8aC68DC5P9xNVe4OAD4qGcdK7UN8dPcwBndunXsphBCXu/j4eOLj47FYLBw6dEhCeFviCD9ZicuP2WLlrk93smLXSfy0JWzquRCX4r1oXDvSMTYRJ5/eTT6noigkHPyN2cnfUGquwk3rxKKhtzCt1xU2H/1WrFZK0r6l6LdPKdn1PdaK4tptahdP3AfdWBO8B45D43J5/zupLjhB8c6vKE5ZQ+mBTXB2njeArkMonpE1gdwl5IpGdWDZlneUZ3asZf3JwwD46F1ZEHkT9/eMAms1hVufpSj1NQAOVndjdtH/8dD11/PQsO4yPUUIIRrJEfKahPAW5gg3VVxezBYr93y2k8/TTuKrLeWnngtxKf4dtWsHAmMTcfLp2+RznigtYtovK/jxRM10j+EBIbx77RRCzk5vsBVrVTlFv3xI/g//oirncO3rWq9APMJvwyP8Ntz6jrikBxsdmbkkn5K0bzGlrKH09x9Rqitrt537M/C8YgquvYdfNDBvOpXOY9u/ZlfBSaCmk8pbwybS29CBsqx15P44FaU8lwrFiX8a76c65B6WTh4sK20KIUQjOEJekxDewhzhporLh9li5d7P0/hs5wm8tWVs7rUIV9Mu1C5+NQG8GXPAP8vcySO/rqGwqhy9RsvL4dfzt37Xor6EdoYXYzblUbj+LQrW/xdL8RkA1K5eeA1/AM+hk3AJjrJJH25HZq0ooWTPWkwpayjZ9R3WclPtNqdOffEZ9TCGa+654CcBZquFN/Zu4bmdP1JuqcZJreHJQaOZM2AU2op8ctdNpeJoIgBry64gQfV/fHjfKAZI9xQhhLggR8hrEsJbmCPcVHF5sFgV7vt8J5/sOIFBU86WPq/hVrQDtbMvgRN/xMl/YJPOpygKT6X+wII9GwCI8O3CsuG3E+bV0RblA1B5+hAFa1/D+PMHKNUVAOj8uuMz9h94XTsVjYus9Ag18+JL922gOGU1Rds+r227qNK74TXsbryjZ+HcpX+Dxx8pzmfWr2tqP9noY+jA4mGxXBMQhGnnm+RveQqVUs0Jsx+PFT3B4xNjmTy4U6u8NyGEuBw5Ql6TEN7CHOGmCsdnsSpMXZ7GR6nHMWgq2NznNdyLUlHrvek48Uf0HQY36XxWxcojv33B4gO/AvDUoGieGRyDTq1p8doVRaH88C/k/7CI4p1fw9lvIc7BkfhePxvPyAl262ZyObCUmyj6+UMKNrxF1cn9ta+79h6O9+hZeEaMR1XPYkmKorD8SBr/2PYVuRUlADzY6wrmR96Iq/EAp7+7E6spg0pFxzOF0wkZOo1XbuiLRi3zxIUQ4s8cIa9JCG9hjnBThWOzng3gH6Yex11TyS99X8fduB213utsAB/SpPNVWy1M3bKcTzN3oELFW8MmMr33lS1et2K1Upz6Bfk/vHpeT2/3wTfje/3juPa+Vh4MbAJFUSg7sImCpHiKd3xZ+0Cn1tARrxHT8R4xHZ1P5zrHFVaW8UTKd7xzqOYeBLh48NrQW4gNDCJv3VQqjnwHwMclY/nNfw4f3X0FPq5tcw6+EEI0lyPkNZuE8A0bNpCZmUlGRgaZmZkYjcbabV5eXoSEhBAaGkpISAiRkZFtKqw6wk0Vju2ZtQd4Oekwbpoqfun7Bh7G31A5eRI4YS36jpFNOleFuZrbN33MN9l70arULBt+B3eENC3EN0b5kVROf/RXyjN+A2oW0DEMuwffcY+h79Snxa/X3lQXnKBwUwLGTQn/a+Go1uARfht+N8bhEhJV55gtpzOZuXUVB4pygZrWk/+9cjze+5dQ+OuLqFDYUdmbBdZnWHrvWAZ1kjaGQghxjiPktRYJ4VlZWSxZsoSkpCR27NjBuVN6eXnh4+NT+9+CggKMRmPtfwFUKhXh4eFER0czc+ZMunfvfqnl2JUj3FThuL76/TTjlyWjp5Jf+v0X76KtqJw86Dj+e5wDr2jSuUqqKxm//n02nEpHr9GyYuQ93NQ1rEXrNZfkk7fqKQo3JYCioHZ2x2fM3/GJ/itaQ0CLXkuAYq7ClPolhevjKTu4ufZ19yG30GH8Czh3H3ze/pUWMwv3bOCVXeupslpw0zrx+hW3MUV7hpwf7kFVbSLX4sX/Fc3mr+P/wu1D6o6sCyFEe+QIee2SQviGDRuYP38+SUlJtUE6JiaGkJAQgoODL3r8kSNHyMzMZMeOHSxfvpwdO3YQERHBwoULGTlyZHPLsitHuKnCMR3KK2HoG1uoqChnbY/X6V7xGyqdOx3Hf4dzp6uadK6CyjJuSnyHbXnHcNfq+TL6fkYG9mixWhWrhcJNS8lb9RSW0gIADFfdSYcpC9F5ywN/raHi+O/kf/8qRVs/hrPL2ntETsB//At1HuI8WJTLjF9W1i7IdFu3/vy3fwRVa+/GWriPakXDP433ExAxi3k39kWraV+daoQQ4s8cIa81K4RnZWUxffp0jhw5wpw5c5g8eTIGw6V/1FlUVMTy5ctZuHAhoaGhJCQkXHYj445wU4XjKak0c+WbW9iXU8LSbssYZf0GldaVjuO/xbnzNU061+kyE+PWLWVP4Sm8nVz4fsw0hvp3a7Fayw5v5fRHf6Xi6E6gZgXIjnf9B7c+w1vsGqLxKk8dJO/LFzBt+7zmIViVCs+hk/G/7Tn0nf7XQ95itfLa3p94Zsdaqq0WAl08eeeqWxmy91XKDq0AYE3pCDb4PsmHdw/D103miQsh2i9HyGtNDuGrV68mLi6OhQsXMmHCBFvVxapVq3jiiSd49dVXGT9+vM2u09Ic4aYKx6IoCrd/lMrK3aeY6ruFp1xeB1QE3PoVrsHjmnSuoyUFjFmbQHrxGTq6ePDj2On0926Zpd7NxtPkrIij6JcPgZo+3x0mvIT3qJnS7cQBVBzfy5kvX8CUvLLmBZUaw1V/we/WZ9F37Fm73878E9z90yfsPztX/JG+1/CE9ghlvzyJSrHwe1Uwr5if5e17b5Ll7oUQ7ZYj5LUmhfAnnniCoqIi3n77bVvWVOeaKpWKefPmtdo1L4Uj3FThWBZtymDOt/sYqD/CmoCnUVkr8LrqObyveKpJ5zlYlMvYHxPILjXS3d2bdWNn0MPT75LrU8zVFCT9l7wvnqtZXl6lwuvaqXSY9Apazw6XfH7RsiqO7SLvi+drOqoAqDV4XX0Pfrc8jVOHEADKzFU8kfId8ft/ASDMK4B3evfC76eHUFeeocDiQZzpMR6OncqEAS3zQ5wQQlxOHCGvNTqEv/rqq4SEhDBx4kRb11TH6tWrOXLkCI8//nirX7upHOGmCsex4fAZxiT8igfF/BzyNK6Vx3EJvoGAW9agasIKlmn5Jxi3LoG8ilL6GDrw49jpdHHzuuT6Sg9u4fSymVSe3AeAc3AUgXf/F5fQoZd8bmFb5UdSyfviOUp21bQkRKPF+7ppdJj4TzTuPgD8cHw/D/y8gpzyYnRqDS/0u4opB+ajnNmBRVHzz6L7uWJMHA8NC7LfGxFCCDtwhLzW6BC+c+dOhgxp+dZnjWXv6zeWI9xU4RiyjeVE/Hsz+aUV/BDyGj2rfkVrCKHTHb+icfZu9Hm25mRxU9I7FFVVMMSnMz+MnYa/s/sl1aZYreR/v5DcVU+BYkXj4UeHSfPxuvb+dre8/OWuLP038r54jtLf1wGg8fAn4I5/YRh2FyqViryKEqb/spKvj+0F4LqAYP7FbrwOvQ/AkuLb0Ee9wPNj+0ifdyFEu+EIeU0W62lhjnBThf1VVFu47q2tJGcbebnTV9yu/hCVxpnAKZubtBpmWv4JRv7wNqbqCq7uEMTX0Q/gpXe5pNospYWcSLiXkrRvADBcfQ8d73wdjVvjfzAQjqd0/yZOffhw7Sqcrn1HEnjv2+gDe6MoCu8e3s4/tn1JmbkaLycXFnbQMmrvywB8UTqcw73m858J4dI5RQjRLjhCXpPvtkLYwKNf/k5ytpGbDLu4Xf0RAL6j45sUwDOL87kh8R1M1RVcGxDMD2OmXXIArziaRuZzkZSkfYNKpyfw/qV0mrZMAngb4NZ3BKEvpdEh9hVUOmfK9m8k8+mB5K55FqW6ggd7XcGOWx5jqF9XjFXlTD9ezD97Pk+Fyonxbpu5KuMh7vpgM+XVFnu/FSGEaBdkJLyFOcJPVsK+lv52lBmrdtNVm8P6rnPRVBfhMXAGfqP+0+hz5JQXc+13/yWjOJ+B3oFsvP7hSw7ghZvf4/SHs1CqK9D5BdHlkdW4BIVf0jmFY6rKzeT0R3+lZPcPAOg6hBJ4z1u4DxhDtdXCy7uS+GdaEgoKVxq8+NfJeALM+fxeFcwSl1f58IFxstS9EKJNc4S8ZvOR8ClTptjlWCHsYfuxQh754nf0VLIm6D9oqovQdxyK7/BFjT6HqaqCmxLfIaM4nyB3b74b8+AlBXBrVTkn332QU+8+gFJdgfugGwl5IVUCeBvm1CGEro99R5e/rkTr1Ynq3AyOLRrL8bfuAFMuzw8Zy9fRUzE4OfNbkZHJvtNI0/eiv9MR5lQ+zB3xn3PcWG7vtyGEEG2azUN4ZmamXY4VorXlFlcS+0EKVRYLy0I+xqdiP2oXfzrc+Dkqrb5R56i0mJm4YRk78k/gp3fjhzHT6eTa/F7OVbmZZP3zaoyb3wWVGv/Yl+n6969ru2eItkulUuEZFUvo/P34jPkbqNSYtn1OxhN9KFj/Ftd37sWvNz1Kb4M/JyrKuMv1Rr70uIau2lxeUf+DaW+9w77TxfZ+G0II0WbZfDqKWq1GpVIREhLSpOPOBXCL5fKan+gIH2+I1me2WBmb8BsbM/L5W8BPPKp7E1RqOk74AZeuIxt1DovVyl9++phVWbtx1+pZf/1MIv26Nrum4p3fcCLhHqxlRjQefnR+6DPc+0U3+3zi8lZ+JJVTH8yk4kgKUNOOsvP0D6jwC+Kunz7l++M1D3Q+qDrObOMXVFl1PFkyhzn3/JVhQfJDmxCibXGEvNYqIby5VCqVhHBxWXjiu/0s3JjOFa4ZfOL3NCprFd5Xv4xX1OxGHa8oCo/+9gVvHdiKTq3h25gHiO7Uq1m1KFYLeWue5cw3rwDgEnolXf66Ep1Pl2adT7QditVC4YbF5K56Emu5CbWzO4FT38U9Kpbndv7IvN3rARiuKeXfBR/jrlTzomkGk2LncnO/jnauXgghWo4j5DWbT0cJDw+nsLAQq9Va5ys2Nrbe161WKwUFBZdFX/CGREVFERYWRnx8vL1LETa2NauAVzel46Mu4v3A11FZq3ANvRVDZOMXl3p5VxJvHdiKChUfXHtHswO4pbSQo6+OqQ3gPjGPEPTkTxLABQAqtQaf6FmEzj+Aa9+RWCtKOPHWFPI++z9eGhTNZyPuwlWrY7PFjYk+D5Kp8eIFw9tsXPM47207au/yhRDiksXHxxMWFkZUVJS9S7F9CA8JCcFgqH9O64UWhvDy8mryFBZHkpyczL59+5g1a5a9SxE2VF5t4YHlaagUC8uD3kZfeRKdd0/8x7zT6IVPEg7+xnM7fwTgjStuZUrI4GbVYikp4OiCaMr2bUCld6PzQ5/R8a43UWmly4U4n84rkO6z1+F7YxwABeteJ2vBKMZ7B7Dlhr/S3d2bLIuGWM+7SNSG8IjHCnITH+I/W9LtXLkQQlyaWbNmsW/fPpKTk+1diu1D+IIFC+xyrBCt4fkfD3Iwr5Sn/FYTUpWMSutKh5tWoNY37mHKNVl7mPXragCeGhTNrLBrmlWHuSSfowtGU3F0BxoPf4Kf3orhytubdS7RPqg0WgImz6fLo1+gdvGk/NDPZD47hJ55GWy7+W9c1zGEUgUecruJ/+iHMsk9CWXLNBZt2G/v0oUQok2weQgPDg62y7FC2Nr2Y4X866cMBujSudd5JQB+0Ytx8u3XqON/Op3BXZs/waooPNjrCl4YMrZZdZiLz9QE8GNpaDw70P2JjTh3G9isc4n2xzPiNoKfT0HfpT+WohyOLhiFasNi1o6Zzqy+VwPwhvOVPOJ6AzGuv+G57UFe/nGPnasWQojLn81DeFZWll2OFcKWKs0Wpi5PQ6tUs6TTElRYcet9O+59Gjf6nJZ/gtuS3qfSYubWbv2Jv2pCo6ev/JHZlMfR+aOoPLYLjSGAoLmbcO7SuB8ChDhH37Enwc/+hmHYXWC1kLt8Njlv3c6/B40m4epJ6NQaftT14G63iUS47qHrzqk8+90OZK03IYRoPpuH8Li4uAa3Xewb+IWOFcKeXko8zL6cEh73+5IASyZqF398R7zWqGOPlRRy49nl6IcHhPDpdXeiVWuaXIPZlMvRBaOoPL4HraEjQU9sQt+pb5PPIwSAWu9Gp+kf0vGeeNDoKE5ZzZEXhnKnqzvrxk7Hy8mFndqOTHKfQneXI/T7/X7mfrVdgrgQQjRTqyzWU1xc/4IPFxr5KyoqYseOHbYqS4hm23HcyIKN6fTRZTHVZRUAfiPfQOPid9Fjqyxmbt/0EafLixnoHcgXo+/HWatrcg3mohyOzhtJ5fHf0XoF0n3uJvSd+jT5PEL8kUqlwmf0wwQ9uRmtTxeqTh3kyAtDGXRkO1tunEU3Ny+Oqg1Mcp+Cs2s+VxyayuOrfsFqlSAuhBBN1WqL9TSX9AkXjqTKbGXoG1vYd6qADd2fobPlEK49bqPDjcsb9ff8sW1f8ca+LXg5uZByy98J9vBtcg1m42myFoyi6uR+tN6d6f7ERvQdezbn7QjRILMpjxOL/0Lp3iQAfGIexXLrs9yy4QPSCk7ioph5o+x7AssUfuyWwGuTR6BRN/97vRBCtCZHyGutEsK9vLzw8Wnaimv5+fmYTCYJ4cKhvLDuIC+sO8RjPl8yy/Uj1HpvOt+zC63bxRcyWZO1h0kbPwDgi9H3c0u3ps/drjae4uj8UVSdOoDWpwtBT2zEKaBHk88jRGPULPz0HGe+eRkAt/5j8Jr+AVN++5rEk4dQK1ZeqNjE0NICvui4mDf+MgatxuYfsAohxCVzhLxm8xAeGRlJSkpKqx9rL45wU4Vt7D5pIvL1zXRXZ7M2cDZqpQq/se/h0feuix6bYTpD5NevY6qu4P/6X8fCqJubfP3qwpMcXTCKqlMH0fp0PRvAQ5vzVoRoElPKF5xYchdKVRlOgX0I/NuXPJqRxrLDNX12H6pIJrY0g8993+I/99yEToK4EMLBOUJea5XFeuxxrBAtqdpiZeryNKxWMwmdE1ArVbgEXY97nzsvemyFuZopGz/CVF3BsA5BvBxxQ9OvX3CCo/NGUHXqIDrfbgTN3SQBXLQaz8jxBD3989l54gc4/tIw3vDx59nBMQC87RzFfzwGcUf+TGa9v4ZK8+X1CaYQQtiDzUP4ihUr7HKsEC3p1U0Z7DhRxMPeawmy7EXl5Inf6PjGzQPf/jU7C07gq3flsxF3oWtiJ5TqguMcnT+CqpzD6Py6033uJpw6yA+oonW5dB9C8HPbcQ4ZiqW0gGOLxvJo0TESrp6ERqXiS6e+PG24hjtMjzLr3c8pr5YgLoQQFyKfGQpxEXtPF/PiukMEaU/yqMcnAPhcuwCtR5eLHvtpxg6WHPwVFSo+HP4Xurh5NenaltJCji6MoSonHZ1fEN2f2ISTvyxiJexD5xVI0NxNeF5xO1jMnHp/Ojcmf85Xo+7FTatjq7YbszzHEFsWx6PvfEhZldneJQshhMNq9RBuMpnqfX3u3LlERUVx++23s3HjxlauSoj6mS1WHlieRrXFzJLO76CxVuLcdRQe/ade9NgDxlxmbq1pYfjkoNGM69K0FoKKuYrsNyfUPoTZfe4mnPyDmvM2hGgxaicXOj/0Kf4TXgKgYN3r9Fs5h00j7yHA2Y2DGj8e8LyR6ytf5O/vvC9BXAghGtAqIdxkMjF27Fg0Gg3e3t6MGzfuvDDes2dPFi5cSGpqKitWrCA6Oponn3yyNUoT4oL+vTmT7dlGHvBKoodlFyqdG37Rb190GkqZuYrJGz+g1FzFyI6hPDd4TJOuqygKJ9+bRtmBTaidPej22Pc4+XW/lLciRItRqVT43/o0Xf66EpWTCyW7f8AQH8vPV95KH08/Tqs9eMDzRq6pXsjfl75DaaUEcSGE+LNWCeHh4eEkJiaiKAqKorBu3Tqio6MBmDlzJvn5+cyePZuVK1eyZMkSBg8ezIIFC9i1a1drlCdEvQ7mlvDsjwfprMlltudHAPhc/TI6w8Wng/z11zXsNebQ0cWDj6+7E426af/Uznz9T4p++RDUGrr8dSXOXQc06z0IYUueUbE1C/t4daLy5D6qF41hfa9wrvLviknlzEyPGxlo/S//t3QxJRLEhRDiPDYP4a+++ioAiYmJWK1WrFYr69ato6CggDVr1pCSksKRI0eYP38+EydOZNq0aaSmpjJhwgTmzJlj6/KEqJfFqvDAijQqzRaWdH4XrbUMfaer8Rg086LHvn94Ox+kp6BWqfjkujvp6Nq01kdFWz8hb82zAATe8xbuA8Y26z0I0RpcgiNrHtgMisBSkk/Bv29itbsrN3TuRaVKyz/cxtBFtYw5Cf+luEKCuBBCnNMq3VGSkpIYPXp07WvR0dGsW7eOuLg4Fi5ciMFgqHPcypUryczMtHV5QtTrve3H2JpVyF2Gn+hrTUGlccY/Zgkq1YX/yewuOMlff10DwItDxjEisGkL6ZQe2MzJd2vmm/veMBvvkdOb9waEaEU6n84EPbkZz6hJYKkm//3pJBRmcE/IIKwqNc+5jsBFs4q4hH9jqqi2d7lCCOEQbB7Cvb29CQoKqvN6SEgIQ4YMYdSoUQ0eW184F8LWisqrefqHAwSo83naaxkA3sOeR+fd64LHFVdXMGXjR1RYzIzt3Ju4gSObdN3K04c4/uZ4FHMVHpET6TBpfnPfghCtTq13pfPDn+N3a82nOIXfL+SlfT/wRN9hALzuciWlTok8mfAvisoliAshhF1bFEZFRV1wuyzWI+zhpaRD5JVW8u+O76KzFKMPiMJzyN8ueIyiKMz4ZRWHTHl0cTXw4fC/oL7IqPkfmYvPcOxfN2ApLcAl9Ao6z/gIVRPnkQthbyq1mg4TXqDTtGWg0WL67TOmbXyTN/oPB+Bj/UCy9L/yVMJ8CeJCiHavVUbCG3KxDhONWQhFiJZ0KK+EN7ccYazLb1yh3gZqHX5jElBdZIGdJQd/ZfmRNLQqNZ+NuBs/Z7dGX9NaVUH2G7dRnZuBzi+Irn/7CrWTy6W+FSHsxuuae+n2fz+gdvag7MBPjFvzBMsHDEeLwg9OPdnlsocnl7yMUYK4EKIds3kINxqNDW5TFMXWlxeiSR7/eh9qayUv+dUsyuMV+ThOvv0ueMzRkgJmJ38DwLzIGxgWENTo6ylWKyffuZ/yw7+gdjXQ7f++R2sIaHb9QjgK937RBD31M1rvzlSd3M+AD6fzQ9+rcMHKVl03trhl8mTC8xSWVdm7VCGEsAubh/CCgoIGt11spFsezBSt6ceDuXy7P4cHPb/FVzmFxr0zhqgLd+hRFIVHfvuCMnM11wYE8/d+w5t0zbw1z2La9jlotHR9ZA36Tn0v5S0I4VCcuw0k+Nnf0HcdiKUoh8B37+WnkAF4q6zs1XZgrVsOcUufoUCCuBCiHVIpNh6OVqvVlzStxGKxtGA1tmcymTAYDBQVFeHp2bTWdMJ+qi1WBv/rJ86cyWZz50dwUsrxH/s+7n3vvOBxq7N2M3njh+jUGnbe+hh9vRo/il24+T1OvfsAAJ0efB+va++7lLcghMOylJs4/p9YSvcmgkqNKnYeY/NPc8Kqxs9ayo0lbiya9go+rk72LlUI0U44Ql7TtsZFDAZDkx+yzMjIaHCJeyFa2uJfj7I/t4Q3/D/DSSlH33Eobn3uuOAxRVXl/O23LwGIGzCySQG8ZO96Ti2bAYDfLU9LABdtmsbFk26PfcepZTMwbnkfZWUcG8f8jVsscAA3VntUYn73Sd58cB5eLjp7lyuEEK3C5iE8PDyclJSUZh0bGRnZwtUIUVd+aRXP/3iQAbp0btKvB8Dnutcu2hP8mR1rOVVuoqenH3MHjr7gvn9UefoQx/87ESxmPK+8A/8JL15S/UJcDlRaHYEPvIvOP5i8Nc9Sue4NvomK5S5DJ7aZ9XzhVoXl3ad4+8GX8XSWIC6EaPtsPifcx8en2cdKi0LRGp778SCF5VXM6/AhAG59/oJz4NALHrMt7yhv7d8KwFtXTcRZ27jQYK2u5MRbd2AtK8Kl59V0euA96QIk2g2VSoX/rc/UtjCsSF7FR8d2EK0qo0zlxBrXKqa9+7QscS+EaBdsHsLXrVvX7GNXrFjRgpUIUdfvp0ws/jWLG1220le1F5XWFZ+r/3nBY6qtFmb+sgoFhbtDIxjVqWejr5e76ikqju5A4+5Ll4eXo3ZyvtS3IMRlp6aF4VrULp5UHvqZ/x7YyASrkSqVli9dqrjv3Wcoq5IgLoRo21p9NZCsrKzWvqQQ9VIUhce+3otOqeQF/5qWhIbIx9F6dLngcW/u3cLuwlP46l15dejNjb5eye61FKz9FwCdHngPnU/n5hcvxGXOvd/omhaGPl2oPnWAl/f8yH3VOZhVGr5yruSO956lvPryejBfCCGaotVC+EMPPYRGoyE0NBQ/Pz+++OKL1rq0XURFRREWFkZ8fLy9SxEN+GZfDkmHzzDT8A3e1hw0Hl0xRDx2wWOyigt4Pu1HABZG3Yy/s3ujrmU2nubE0nsB8I7+Kx7ht1xa8UK0Ac5dBxD89FacOvXFXHic2Wnf8Wj5UawqNd/qq4h97xkqJIgLIVpQfHw8YWFhF121vTXYvEUhwNixY0lMTDz/wioVq1atYvz48ba+fKtyhJY34uIqzRb6v7qJksJsfur8KDqlAv/rP8K995QGj1EUhZuT3uWH4we4rmMI68c91Kj53IrVyrF/XU/p7+vQdxlA8HPbZRqKEH9gLskn+7WbKM/4DZWTCyv6j+ZFz94AjDbr+fb+l3DStvoHt0KINswR8prNv6utXr2a5ORkVq5cidVqxWq1UlhYyOOPP86DDz5o68sLUa83txwhI7+MZ/0+Q6dUoO80DLdeky94zKqs3fxw/ABOag1vD4tt9AOVBT/+m9Lf16FycqHLw59LABfiT7TuvnSPS8J94PUoVeVMSvuBf53ZCcB6bSVjlz1LlVlGxIUQbYvNQ3hCQgLr169n4sSJta8ZDAYWLFjAtGnTWLNmja1LEOI8OcWV/DPpMIOdDjHOaSMAvtf964Kh2lhZzt+3fQnA3IGj6W3o0KhrlR9JIWflXAA6/uV19J3DLq14Idootd6Nrn/7CsOwu8FqYczvG1h64mcANmsqGPXBc1RLEBdCtCE2D+GKojBkyJB6t82YMUOWphet7qkfDlBSWcX8sy0J3fvejT4g4sLH7Pie0+XF9PL0J27gqEZdx1JezIm37wBLNR6RE/EaMe2SaxeiLVNpdXSatgzf6x8H4MrD2/j8yDpUisKv6gqu+fA5GREXQrQZdp1kFxwcTH5+vj1LEO3MjuNG3k8+xs0uP9OT/ah0bnhf/dIFj/k1N4slB34D4O1hE9FrGrfG1emPH6EqJx2tT1c6TV0q/cCFaASVWk3A7a/SYcqrAPQ7uoevD32Nk6WaFFUFV370HBVmaV8ohLj82TyEe3t7N/tYaWcoWpKiKPz9q704U8Hz/p8C4BUVh9a9U4PH/LEn+H09oxgR2KNR1yra+glFP38AKjWdZ36Cxq35/w6EaI/8bnicTtM+ALWGoFPpfL9/Ne7mCnZRwdCPnqeiutreJQohxCWxeQg3Go3NPjYuLq7lChHt3spdp/j5SAGzDF9jsOah9QzCM/zvFzzm37//xO/G0/jp3VgYeVOjrlOVm8mpDx4CwP/WZ3Hrfe2lli5Eu+R1zT10/fvXqJxcCDhzgh92L8e/qpi9VBDxyYuUV1fZu0QhhGg2m4fwgoKCC25vKKQfOXKEHTt22KAi0R6ZLVaeXnuAQE0e0zy+BMDn2nmotQ13KskszufFtJrWmq8OvRlfZ7eLXkcxV3P87TuwVhTj0usa/G55qkXqF6K98hh0A93j1qN288bLdIZv0j6ne3kBB5Ryhnz6T0qqKu1dohBCNIvNQ3hqaioajabBr4SEhHpf79Gjhzy0KVrMyt2nSD9TyjM+n6BVKnHufC2uPSY0uL+iKMz6dQ3llmpGBfbg7tALP7h5Tu6aZ6nI3I7a1YsuMz9B1cj540KIhrn2uIrgs6trupWZWJ32OQNKTnHYWsbgz17GVFVu7xKFEKLJWiUhGAwGfHx8mnRMfn4+JpPJRhWJ9sRqVZi3/jARTgcYq98CqPC5btEFH5T88tjvrDtxEL1GS/xVExv1UGXJ3vXkf78AgE5T30Hn262l3oIQ7Z6+cxjBT2/l2KJxcHIfH6at4JF+N/OzdwiDP5tH6pQn8HZ2tXeZQgjRaE0O4WvWrGHChIZHEP8sPDyclJSUpl4GgMjIyGYdJ8Qffbc/h99Pm1gd8BEA7v3uQ9+h/raZAFUWM08kfwfA4/1H0Mvgf9FrmE15nEy4GxQF75Ez8IyaeNFjhBBNo/PtStBTWzj2xq2UH/qZ+N1f8WyfGL4K6M/gFfPZMTmuUdPGhBDCETR5OsqkSZOatH9TR8D/KCQkpNnHCgE100peWX+YK/R7Gaw7gEqjx3vY8xc8JuHgb6QXnyHAxYPZA0Y06jqn3p+O2XgKfacwAu547dILF0LUS+PuQ/fZ6/AIvw21YuWl/T8y9fh2jlvKGLRiPjnlxfYuUQghGqXJIVxRFHbt2tXo/detW9fUS9RasWJFs48VAmBjej7bjhmZ5VmzMqt7v/vQugU2uL+xspwX02r+zj43eAweuosvMW9K/ZLiHV+CRkfnhz5DrZePxIWwJbWTC10eWYX3yBmogH+kbyEuYwOnzGUMWbmQE6VF9i5RCCEuqskh3MvLi2nTZOU/cXl4Zf1hBujSuVq/C1QaDBGPXXD/BXs2kF9ZRl9DBx7oNfSi57dWlHD640cA8LthNs7dBrZI3UKIC1OpNXS89238J7wIwF3ZO3n1wHecqS4lfPWrHC25cGcuIYSwt2Z1R0lJScHX15eHHnqINWvWyAOUwiH9drSQDelnePjcKHif29EZghvc/2hJAW/s2wLAgqib0Ko1F71G7hfPYS44js4/GL+bpR2hEK1JpVLhf+szBN6fACo143IOsuT3VZRUFRO55jXSTWfsXaIQQjSoWSE8Li6OzMxMYmNj2b59O7GxsURFRUkoFw5l3vrD9NBmM8ZlG6DCEDXngvs/nbqWSouZkR1DuaFL34uev+JoGgXr3gAg8J63ZBqKEHbiPWIaXR/9ApXOmSsKsvko7TOs5QVc8eW/OWDMtXd5QghRL5WiKEpTDlCr1RiNRjw9Pets27lzJ0lJSSQmJlJYWEhkZCQxMTFER0fXu39bZDKZMBgMFBUVtZv37Ih2nzQx+LWfWOTzJuNdf8K1x20E3NTwMwYpZ7K54puaQJ18898J9+tywfMrVitZ/xxGecY2PKMm0eWv8vyCEPZWdngrx167EWuZkeMunjwwcDIl7h3Yesuj9PUKsHd5QggH4gh5rckj4XPmzGmw2CFDhjB79mzWrVtHcnIy06dPJyMjQ0bKRaubv+EwXTQ53OL6MwBeUXEN7qsoCnHJ3wJwV2jERQM4QOGmBMoztqF29iDgztdbpGYhxKVx7TmM4Ge2ovXuTJdyE5/t/ISORdlc8/V/OFgkI+JCCMfS5JHwS3FupDwpKYnMzEyio6OJiYkhPDycoKCg1irDphzhJ6v27nBeCX0XbuQ5QwJ3uf+IS7cYOk74rsH9vzm2l9vWv49eo+XAhDi6uXtf8PzmohzSn+iNtayIjne9iU/MIy39FoQQl6C64ARHX42m6uQBSrROTB8Yy0nfULbe8ig9PP3sXZ4QwgE4Ql6z+bL1fzRkyBDCw8MxGAxkZGSQkJDApEmTCA0NJSoqqjVLEW3Ygo0Z+KoKmeK+EQDD0IZHwc1WC0+k1AT0v4cNv2gABzj92WNYy4pwDorAe/TDLVO0EKLF6Hw6E/z0rziHROJuruKdXSvplneIa775DxnysKYQwkG0Sgg3mUwsWrSInj17MmbMGFavXg3UTAMIDg5m/vz5JCUltUYpoo3LNpbzUWo2D3h8jY4q9IFX4dz52gb3f+fQNg4U5eKndyNu4MiLnr9kbxKmXz8FlZrA+5agakQHFSFE69O4eREUtxHnHlfiaqkmYfdqQnL2ce23/+VIcb69yxNCCNuG8A0bNjBlyhS8vb2Ji4sjIyMDRVFQFIXY2FgSExNJT09n9uzZGAwGW5Yi2ol//ZSBq9XE3R41C+54DY1DpVLVu6+pqoIXdtbs9+zgGAxOLhc8t7WqgtMf1Ix8+0TPwiU4ogUrF0K0NLWzO0FxG3DudTXOVjNv7f6Cnif3MPzbt6SPuBDC7lo8hP9x1DsmJoZVq1bVBu+QkBAWLFhAYWEhK1asYPTo0S19edGO5RZXsvS3o9zj/gPOVODkNwCXoOsb3P/VPRvJrSihp6cf0/tcddHzn/luPlU5h9F6BeI/8Z8tWboQwkbUTi4EzVmPvs+1OCkW3vz9S3ofT+W6794iu8Ro7/KEEO2YtqVOtGHDBpYsWcKqVauAmqkm58TGxjJ37lyGDBnSUpcToo43fs5EbS7lQcP3ABiiGh4FP15q5N97NwMwP/ImdBeZVlJ56iD5384DoOOdb6BxkYduhbhcqHV6QmavJ/NfMbDvJ17b+zVPWC2M+F7N5htn0dlNPokVQrS+SxoJPzfq7evrW++o95IlS2pHvSWAC1syllcT/0sWt7sl4k4xWq8euPWc2OD+z+5YS7mlmmsCgrm1W78LnltRFE59+DCKuQr3gdfjERXb0uULIWxMpdUR8ngSun4j0CoKC/Z9R/+Mnxnx/VucKpO2uUKI1tesEL5hwwbGjh1bO9e7sLCwNnxPnz6d1NRU0tPTmTZtmsz1Fq3ira1ZVFSUMcPwDQBeUXMafGgyLf8EH6anArAw6qYGR8vPKdr6CWX7NqDSOdPx7v9edH8hhGNSabT0eDwJbf+RaFB4+cAPDDm0kZHfv81pCeJCiFbW5OkoPXv2JDMzE/jflJPw8HBmzJjBtGnTWrY6IRqhtNLM65szmei2CV9VARr3Lrj3+Uu9+yqKwpyUb1FQmBI8mCv8u1/w3JbSQnI+ewwAv1ufwalDSIvXL4RoPSq1hp7/l8TBf42G3zfx/KFEXrFaGK1WsfH6h+jg4mHvEoUQ7USTR8IzMjIAzhv1TklJkQAu7Oad7ccoLC1nluErAAwRj6HSONW7748nDrL+5GGc1Bpejmj4oc1zclY8gaU4D6dOffG7/vEWrVsIYR8qtZrej2+A/tcB8GT6Bq7Y8x3Ra5dwpqLUztUJIdqLZk1HURSFuLg4Zs6cKXO9hV1Vmi0s2pTBTa4/E6g+jdrFD4/+U+vd12y1MCe5ZrrKX/teQ7CH7wXPXXZ4K8ZNCQAE3rsYlbb+YC+EuPyoVCr6Pr4Ra/+adQQez9zM1WlfclPiO5RUV9q5OiFEe9CsEJ6amkpkZCSLFy8mMjKSsWPHsmjRItLS0lq4PCEu7KPU45wsKuMRw5cAGIY8ilrnWu++y9JT2GvMwdvJhScHXbg9pmKu5tSymQB4XXs/bn2Gt2jdQgj7U6lU9J+9GXO/YQA8kvULQ1JWErvhA6osZjtXJ4Ro65ocwlUqFUOGDGHixIksXryYlJQUVqxYQXBw8CWF8kWLFjW1FNHOmS1WFmxIJ9o5mWDNMVROnngMnFnvvtVWCy+nJQLw1KBovPX1B/VzCjclUHl8Dxp3XzpMWdjitQshHMeA2T9TFTYUqAniHbd9xn1bPseqWO1cmRCiLWtyCA8ODq7zmsFguKRQXlRURFxcXJOLF+3b1/tyyMgv5RGvLwDwHDQTjbNXvft+npnGsVIjAS4ePNRn2AXPaykvJu/LFwDwH/8CWg+/Fq1bCOFYVCoVg2ZvpSK4JwBzMjZh+eVD/r7tq/PWvBBCiJbU5O4o6enpF93nXCifOLGmT3NRURFJSUm1If1cX/Ho6GhCQkJISEhoeuWi3Xt7axbD9Lvppz2MSuuCYcij9e5nVay8umcDAI+GXYOzVnfB8+b/8GrNw5gBPfEeMb3F6xZCOB6VWsOgp9LY/Wwo+pOneeZQIk+ptbzi7MFTg6PtXZ4Qog1qsRUzL+RCoXzFihUUFRXh5eXVGqWINuJgbgnrD5/hY/81AHj0fwCNa4d69/3++AH2GnPw0OmZ2fvCo+DVhSfJ/+FfAHSYPB/VRQK7EKLt0Ohc6f/0LvY91xNdnomXDqzlcY0OP2c3ZvS5yt7lCSHamEtaMbO5/jh9paCggMGDB2M0Gu1RirhMLf41iwG6dK7S/w5qLYaIfzS476t7NgIwo/dVeOldLnjevC+eR6kqw6XHVXhEjG/RmoUQjk/n1oEecclYfZzRovDqvm/57NtFrMraZe/ShBBtjF1C+J8tXbrU3iWIy0hZlZkPUo5zt/sPALj1mozWo2u9+/6Sc4Sfc47gpNbwt37XXvC8lSf2Ydz8LgABU16VlTGFaKfc/HsR+Lck8NKiU6y8tvdrXv9yPhtOHrZ3aUKINsQhQnh4eLg8/CIa7fO0kygVBdzkuhUAzwY6ogAsPDsKfnePSDq5Gi543pwVT4BixSNiPK69rm65goUQlx3foKtxn/oZeKpxtpp5fddqnl7zT1LPHLd3aUKINsIhQjjAypUr7V2CuEws3prFRLeN6FVVOPkNRB94Rb377S08zbfZ+1Ch4vH+Iy54ztIDmylJ+wbUGjpMmmeDqoUQl5tug2JRTVwEHmpcrdW8tmM5f1v9IoeL8uxdmhCiDXCYEH7uoU0hLiT5mJHU44Xc5b4OAI9BMxucNnJuLvht3fvTy+Df4DkVRSFn+WwAvEdMRx/Yu4WrFkJcrvqO+AdVMY+guKnxtFQyP/ljHlz9T06WFdm7NCHEZc5hQrgQjfH2r1kM0++hu/YUKicP3HvfXu9+x0oK+SxzJwBzBoy84DmLk1dRkbkdld4N/9uea/GahRCXt0G3/JuyK2/F4qrGp7qcF359l3vXzKOwsszepQkhLmMSwm0kKiqKsLAw4uPj7V1Km1FQVsXnO09wl/taADz63o3ayb3efV/fuxmzYmVkx1CG+ndr8JyKuYqclXMB8Lt+NlpDQMsXLoS4rKlUKiLv/JyyQVdidtbQoaqUOZvf5r6v/0WZucre5QkhmiA+Pp6wsDCioqLsXUrjQ/jMmTPJysqyYSkNy8rK4qGHHrLLtZsrOTmZffv2MWvWLHuX0mZ8kJKNl5LHaOcUADwGTqt3v/yKUpYe+g2AOQNHXfCchRuXUJ2bgcYQgO/1/9eyBQsh2gyVxomo+3+gsm8o1XoNnStNzFz/GlO/fYMqi9ne5QkhGmnWrFns27eP5ORke5fS+BC+ePFipk+fzsaNG21ZTx3r169nxowZvP322616XeFYrFaFxVuPMsUtEY3KinPn4Tj59qt337cO/EKZuZohPp2J6dSrwXNayorI++pFADqMfwG1c/2j6kIIAaDWezJo6gasvfypctLQvdzI3WvnMXPtW1isVnuXJ4S4zDRpOsq6det4++23eeihhyguLrZVTQCYTCZmzpxJQkICP/74o02vJRzfhvQzHDlTxO1uSQB4DKx/OfnS6kr+s+9nAB4fMOKCvb7zv1+IpfgMToG98Rr+QMsXLYRoc5w8O9Pj7kS0PdyodNISXF7I+G9f4LEN70mrXSFEkzR5TviKFSsYMmQI3bt3Z+7cuRw9erRFC8rKyuKJJ54gODiYyMhIli9f3qLnF5ent7dmEe2STAdNIRrXANx63Fbvfu8fTia/sowQD19igwY2eL7qghPk//hvAAImL0Cl0dqibCFEG+QR0J+Ok7/BOdSJCp2W0LICRq2Zy3NbPpUgLoRotGY9mDl9+nSOHDmC1WolODiYqKgoFi1aRFpaWrOKSEtLY9GiRYwZM4bQ0FCKiorIzMzkwQcfbNb5RNty3FjO1/tyuNOt5hMR9/73o9I41dmv2mrhtb0/AfBY/+vQqjUNnjPvi+dQqspx6XUN7kNusU3hQog2yy94OO43fYJHDxUVOi09S88w5PN/8Nr2L+xdmhDiMtHs4T+DwcCCBQt48sknWb58OQkJCcyZMweVSkVISAjh4eH4+Pjg5eWFr69v7XH5+fkYjUYKCgrYsWMHmZmZAAwZMoQZM2awcuVKDIYLr2wo2pel247RXZ3NMOc9oFLj2b/+H86WH0njaEkhHZzdua9Hw089Vxz/HeOW9wFZnl4I0Xxd+9/G4dK3MTATY7qO3qV5WD+cyVInV6YNGWfv8oQQDu6SP4M3GAxMnz6d6dOnU1RURGJiIklJSWRmZpKamkpBQQFGo/G8Y0JCQggJCWH06NHMnz+f6OhoCd6iXtUWK+9sO8oDbjWL87gG34DWs27LQUVRWLRnEwCPhl2Li1bX4Dlzzy1PHzkR1x5X2qJsIUQ70fOKB9hTkosXz1KYrqNvSR5737mP5Q8vZ0q/6+xdnhDCgbXoRFiDwUBsbCyxsbEteVrRjn31+2mMxUXEdtoEgMfAGfXu98PxA+wpPIW7Vs/MPlc1eL7S/Rsp2fUdaLR0mPSKLUoWQrQzA0bPJaU0Dy/lPxSm6+hXksOet+/gu799wY09r7B3eUIIByWL9QiHtvjXo9zk8jMeqlK0hhBcusfUu9/CPRsAmNHnSrz1rvXuo1it5CyfA4D3iBnoOzbcvlAIIZoi4uZ/cSZ4Cl49FEq1OgYUn6L4zQn8dGSnvUsTQjgoCeHCYR3ILWZDeh53udc8kOkxYBoqVd2/sltzstiScwSdWsPfwoY3eD5T8koqjqSgdnbH/7ZnbVa3EKL9UalUXDF5GbkdozGEKpRqnRhoOsnJf99CyokD9i5PCOGAJIQLh7X416MM1KXT3ykTlUaPR797691v4Z6aBaTuCo2gs1v9zxYoVgt5XzwHgO8NcWg9O9imaCFEu6VSa7nq7i/I843CPRRKNToGFR3n0Ktj2ZeTae/yhBAORkK4cEillWY+SM7mzrOj4G69YtG4+NXZb5/xNN9k70WFisf7j2jwfMU7vqLq1EHUrl74jPmbrcoWQrRzaq0zV977PYWePXHuoaZUo2Nw4TF2zR/NkTPZ9i5PCOFAJIQLh/R52kmoLORm118A8BhQ/wOZ5zqi3NqtH3286h/dVhSFM98tAMAn+q9oXDxavF4hhDhH4+xF+L2JlLsFou2ho0yjY1BBFqkvX8vJfAniQogaEsKFw1EUhbe3ZjHRbSN6VRVOfgPRB9btMHC81MgnGTsAmDNwZIPnKzuwiYrM7ah0zvjEPGKzuoUQ4hxnj0D6/GUdiqsHSg89xVo9YQVH2fHiMM6cOWbv8oQQDkBCuHA4ydlGdp4o5E73mt7gHoNm1rugzjuHtmFWrAwPCOEK/+4Nnu/cKLjX8KkyF1wI0Wo8/XvSZcL3OLtoqe7hTKHOhRDjcXa+cCVFeVn2Lk8IYWcSwoXDeXtrFsP0ewjSnkLl5IF779vr7FNttfDOwW0AzOwzrMFzVRxNo3TPj6DW4Hv94zarWQgh6tOhWziGG1bj52ymopcruU7udDadIu35oZTkZNi7PCGEHUkIFw4lv7SK5Wknax/I9Oh7N2on9zr7fXNsH6fKTXRwdmd89/4Nnu/cKLjn0Mk4+QfbpmghhLiAbr1HwfBldNOVUNLbnePOnviX5LHn+SjKTu63d3lCCDuREC4cyrLkbLyUPKKdkwHwGDit3v0WH9wKwNReQ3HS1L/wa1VuJqbtKwDwuzHOBtUKIUTj9ImIpSTiDfpp8ynqZSDT1QdDWSF7X7iSsmNp9i5PCGEHEsKFw1AUhXe2HWWKWyIalRXnzsNx8u1XZ7/DRXmsP3kYFSqm9bqywfPl/7AIFCtuA8bh3G2QLUsXQoiLGjJ8Bqd7P0uk5jS5vbzZ794BtwoTB1+6hrL03+xdnhCilUkIFw5j2zEjGXlF3O6WBIDHwOn17pdwsOZ/VuO69CbIw6fefcymXIxb3gdkFFwI4Tiuuv5pjnV5iJGqYxzv6cdOz07oq0o5PH8Upfs32bs8IUQrkhAuHMay5GyiXZLpoClE4xqAW4/b6uxTYa5mWXrNVJULPZBZsO5NlOoKXEKvwLXPdbYqWQghmmz4xNfJ9JnELRwmvWdHfvPqhq66nMxFYyne9b29yxNCtBIJ4cIhlFdbWJ52gjvcatoSuve/H5XGqc5+K7N2U1BZRjc3L67v3Kfec1nKiylYHw/ULFFfX3tDIYSwF5VKxcg7PyDDdRT3WPewp2c3NvqGoDFXcfT1WzElr7J3iUKIVmCTEJ6WlnbeV1ZWVu22rKwsxo4di0ajwdfXlylTpmAymWxRhriMfPn7aVyrTzFMvwcAj37317tfwsFfAZjW+0o06vr/+ho3JWAtM+IU2BuP8FttU7AQQlwCtUbLyPu+JFMXySPmbWwPDeX7Dr1RW81kx0/BuGWZvUsUQtiYTUJ4YmIiERERTJo0ieXLl2M0GgEoKioiPDycxMRE5s+fT1JSEpMmTWL06NG2KENcRpYlH2OC60+oVQrOXUagM9RtJ7i74CRbc7PQqtTc33NoveexVleSv/Y1AHxvmIOqgaAuhBD2pnFy5ur7f+CYujfPVW9iS3AfVnfsj0qxcvKd+ylI/I+9SxRC2FD9vd0uUXR0NLNnz2b+/PnnvT5t2jSKiopISkpi1KhRAAwZMoSQkBDmzp3LvHnzbFGOcHDZxnKSDucxN2AjAO5hd9e735Kzo+C3du9PoKtnvfsU/foJZuNJtF6dMFx1p20KFkKIFuLsaiD8nnXsWXY1/6r6gQeDx1Oq1XPP8VROf/wolrIi/G55SqbVCdEG2WSYcMWKFXUCOMCqVasIDw+vDeDnhIeHoyiKLUoRl4GPUo8TrjtAd+1pVDp33HpOqLNPcXUFH6fvAGBm76vqPY9itZL//UIAfMb+A7VOb7uihRCihXh6BdLz9h8pVHxZXPEV67v1Iz6o5vtc3ppnyF0+R/4fKUQbZJMQ7uNTt23c+vXrgZpR8vrIT/ntk6IoLEvOJtZtAwBuPSei1rnV2e/TjJ2UmCvp5enPyMAe9Z6reOfXVJ06iNrVC++R9bc3FEIIR9ShY0/8b/2WCqsry8pXsqlLfxaGjgBq1jw4/cFDKFaLfYsUQrSoVpswm5iYiEqlIioqqt7t5+aNi/Zla1YhJ/LzudGlZgVMj3731tlHUZTaqSgz+lxV7w9siqKQ/13Npy8+ox9G41L/dBUhhHBUQSHhOMWsRKVo+LT0U7Z0CuPZ3mOwoqJw4xJOLLkbxVxt7zKFEC3EJiHc29u7zmtJSTULsDQ0Ei4ftbVP7ydnM9blN9zUFWgNIeg7XV1nn215x9hVcBJnjZZ7ekTWe56yg5spz9iGSqfHJ+ZRW5cthBA2ETZgFGVXf4CLYmV56cf8FtCHOWE3YlapMf32Gdn/mYC1qtzeZQohWoBNQnh6evp5vy8qKmLHjh2Eh4fj6Vl3hPKdd95h0qRJtihFOLDSSjMrd50k1vV/D2TWN8p9bhR8cvBgfPSu9Z7rzLc1o+Be105FawiwUcVCCGF7kUMnkDfkv3hZK1le8hEp/j15tP+tVKm1lKR9y7HXbsRSXmzvMoUQl8gmIXzGjBlMmTKF4uJisrKyiI6ORqVSsWDBgjr7zp07l9TUVGlT2A598ftpPM0nucr5d0CFR9+6XVEKKstYcSQNgBkNPJBZcWwXpXvWgkqN7/WP27BiIYRoHVePmMqx3v+kk1LC5yUfs8s3hBkDJ1Ch1VO2fyNHF0ZjKSmwd5lCiEtgkxAeHBzMpEmT6N69OyEhIaSmprJ48eLariirV69mzJgxaDQaFixYwJIlS5g7d64tShEObFlyNuNdNwHg3HUkWs9udfb5MD2FCouZwT6duMK/7naAM2c7ongOnYRThxCb1SuEEK1p1A2Pc6jrbIKtRj4q/ox9Xt24b2AspU5uVGRuJ2veCMzG0/YuUwjRTCrFxpOxi4qKMBgMdV4rKKj7E3xwcN0FWi43JpMJg8FAUVFRvVNvRI2jBWWEvJLIho6z6KbNxX/s+7j3Pb+vt6IohK1ZyCFTHm9dNZEZfeqOhFflHSF9dg9QrAS/uAOX7kNa6y0IIUSr+O6ThwjLe5ft6k7c5zGJbiV5fLj3SzzKi3AK6EG3OUk4+XW3d5lCXFYcIa/ZvDvKnwP4udeCg4PrfIn244OU40Q57aebNheVkweuPcbX2WfjqXQOmfLw0On5S2j94Tr/h3+BYsWt/xgJ4EKINun6O+LZ6zGBodaT/Lfka7Lc/Zk8MJYiD3+qctLJevkaKk8ftneZQogmcpg1vXv27GnvEkQrsVoVPkjJZqJbzQOZbr0modbVfeBy8dkHMu8MDcdD51xnu9mUh3HLewD43Rhnw4qFEMJ+1Go1N9z3MfucRzPKcoT5Jes46eLFxH7jMXp3wVxwnKPzRlB5+pC9SxVCNIHDhPD8/Hx7lyBayc9HCsgpzOcG15qQ7RF2T519TpWZ+Oro70DDD2QaN7+LUlWOc1AErn1H2q5gIYSwM7VGy5ipazioHcptlv08XbqFHGcPbu17MybfIMzGkzVB/NRBe5cqhGgkra1ObDKZSEhIIDExsd7533+UmZlJUVGRrUoRDmZZcjbXu/yKq6oCrVcP9IF1Q/Z7h7ZjVqwM6xDEQJ9OdbYrVguFGxcD4BPziKy4KoRo83ROLgyf+j1blw7nHvNOjGUuvOkayc29r+e7Qz/ifiaTo/NH0j1uA/pOfexdrhDiImwSwouKiggODm7SKpgSotqHkkozK3efJMGwCagZBf/zvbdYrSw99BsA0xsYBS/Z/QPVZ46icfPBc+hkm9YshBCOwtXVk6h715G27Foerd5KUbkLH7j044ZeY1mrTsQ1N70miD+xUYK4EA7OJtNRpk2bRmRkJKmpqVit1ot+FRQU4OXlZYtShINZtfsUPpYTXKnfC6jqdEQB+OHEAbJLjfjoXZkUNLDe8xQkxQPgNXwqaicXW5YshBAOxeDVgbA7EzmlBPJ01XrGV2RS6OTKDT3HUBHQC3PRabLmj6Dy5H57lyqEuACbhPDMzEzWrVvHkCGN61bh5eVV71L3ou35IDmbCW6bAHDpFo3Wo2udfRYf2ArAfT2icNbq6myvysk4uziPCu+RM21arxBCOCJ//250m/QDBVZvFlR+S3TlSfJ1LtzQcwxVgX2wFOWQNW8ElSf22btUIUQDbBLCIyMjm3zMypUrbVCJcCSZ+aVszsxjwtkFetzD6q6QmVVcwNrjNQ8WTe99Zb3nOTcX3H3AOJwCQm1TrBBCOLguXcIw3PQNJVZ34itWc1X1GfK0em7sORZzYF8splyy5o+k4vhee5cqhKiHTUJ4c0a1GztqLi5fH6Qc50r9Xrpo81A7GXDtcWudfZYe+g0FhdGdetLT4F9nu7WqHOPmmraE3qMftnnNQgjhyHr2GoomZiWVip53yz5nsLmY02otN/cah7VzPyymXI7OH0nF8d/tXaoQ4k9sEsJ9fHzIyspq0jEbNmywRSnCQVitCh+mZDPR9Wxv8N6TUWvPn8ttsVr5MD0FaHgU3LR9BZbSAnR+3XEfeL1tixZCiMtA/wGjKRv2IShqPir9iD7WCo6r1NzW6wboMgBLcR5H54+iInuPvUsVQvyBTUL47NmzmT9/PiaTqdHHzJgxwxalCAexKSOffGM+4872Bnevpzd40qnDnCwz4aN35eau/eo9T8H6twDwHjkTlVpju4KFEOIyEnXFbeQNeQsnxcpnxcsIVswcUazE9rkRVddBNUF8wSgqju22d6lCiLNs1id88eLFzJ07F4CYmBhCQkLw8fGpd9+MjIyL9hIXl7cPUrK53mUrLqoqdN690HccWmefc6PgtwcPRq+p+1ez/EgKFZnbUWmd8Bo+1eY1CyHE5eSaEfexvtxIyME5LC9+j/Ge0zloruYvYbfwuUqF5VgaRxeMonvcBpy71d95SgjRemwSwtVq9Xm9nxcuXGiLy4jLhKmimlW7T/K+1yagZhT8z73Bi6rK+fJozUel9/So/8Hewg1vA+AZNQmtZwfbFSyEEJep0df/nbUVRnoffYUVpncZb5jG7soy7ut/Gx+o1JiP7uDowmiCntqCPrC3vcsVol2zSQgPCQkhMzOT6OjoRvX/zsjIIC0tzRalCAewctcpOlhPEKXfDyp1vb3BV2btpsJipq+hA5F+ddsWWkoLKfr1U0AeyBRCiAsZN/55vvu0gLDcxXxa9D6TvaayvayYGYNiSVCsVB9L4+jCGIKf/hmdbzd7lytEu2WTEO7l5cWqVauYMGFCo4/x9fW1RSnCAXyQ8sfe4DFo3TvX2eejs1NR7ukRWe/qqcYty1CqK9B3G4RLj/pX0RRCCFHjhjve4JtlRgYUfc4Hxo+40+tuNpvyeWzI7bxWVUb16UMcXRhD0FNb5JNFIezEZn3CQ0JCmnRMcHCwLUoRdpZxppStRy7cGzzDdIafc46gVqm4MzSiznbFaq2diuIz6uF6Q7oQQoj/UalU3HTv+/zuMo6+yhmWFi3HTa3h+6I8XrjqQbQ+Xak6fYhji8ZhKSuyd7lCtEs2CeGLFy9m8ODBTTomJSXFFqUIO/vi99Ncqf+dTtozqPVeuIbeUmefjzJSARgd2JPOboY620v3racq5zBqF08MV/3F5jULIURboFZruH7qKvbpriHCepI3i75Er1LzWWEOb436OxoPfyqO7iT73zdjrSyzd7lCtDs2CeH1MZlMpKWlsWHDhib3EBeXr6/3nmbi2VFwt95TUGudz9tuVaznTUWpT+HZtoRe19yL2tnddsUKIUQbo9U5MfqBrzmkHsx11iPMN61Dg4r/nDnJ6uufRO3iSdmhLRyPn4RirrJ3uUK0KzYP4WlpaURFReHt7U1ERAQxMTGEhobSq1cvvvjiC1tfXthRXkklu49mM871NwA86ukNviXnCFklhXjo9NzWvX+d7dX52RTv/BoA71EP2bZgIYRog5yd3Rl2/1oy6cXN1n3MLd0KwDO5x9lyy4uonFwo2fU9JxLuRbFa7FytEO2HTUP4zJkzCQ8PJzU1FYPBQHBwMMHBwRgMBtLT04mNjeX222+3ZQnCjr7dl8N1+h04n+0N7hRQd6T7XG/wSUGDcNU61dleuHEJKFZc+45E36mvzWsWQoi2yMPDh8H3rOO40oX7zMnMLKtZxn5mTjZ7x78MGi2mbZ9z+sNZKIpi52qFaB9sFsLnzp1LSkoKiYmJWK1WCgoKSE9PJz09nYKCAgoLC3n77bdJSUnh4Yel5Vxb9NXe08S4bAfAtcdtdR6oLK2uZNWRmtXb6puKopirKPxpKQA+0pZQCCEuia9PJ4Im/cAZqw+PV28gtuIoAHfknuTkhFdApaJw4xJyVz5p50qFaB9sEsJ37txJYmIiKSkpjB49ut59DAYD06dPrw3m0ie8bSmrMrPp0Emuc94BgGtI3Qcyvzj2OyXmSkI8fLkmoG53HFPKGiymXLRegXgMudXmNQshRFvXtUtv3G74khKrK/Mqv2J0dT5WReGWgnxM418CIP+7+Zz5ThbZE8LWbBLCExISWL9+faP3X7FiBfPmzbNFKcJOEg+dYbB6N+7qCjRugeg7NjwV5e7QiHrbDtY+kDliOiqtzrYFCyFEOxHW50rKr/mIakVLfNmnRFnLqbSYGVdchvmmmlHw3BVxFG5MsHOlQrRtNgnhiqJgMNRtNdcQLy8vCgsLbVFKs+3YsYOYmBgWLlzIqlWrWLhwITNmzLB3WZeNr/aeJvrcVJSQm1Cpzv+rll1iZMPJdADu7lG3N3hF9h7KDm0BtQbvEdNtX7AQQrQjQ4fezIkBb6JWYFnxe4SpFIqrKxlr1qGOeRSAUx/MpGjbcjtXKkTbZZMQ7u3t3eRjmrq4T2vIzMwkLi6OuLg48vPzWbJkib1LuixYrArf7TvFaJeakW7XkJvr7PNJZioKCsMDQgj2qLta6rnFeTwixqPz7mTbgoUQoh0aFf0g+7s/jR4LnxiXEKLRkltRwk1OHXC6diooCieW3EXJnh/tXaoQbZJNQrjRaGzyMY42Eg6wcuVKFEUhIyODBQsW2Lucy8bWrAICq/bTUVOASueOS9eR521XFOV/U1HqeSDTUm6iaOtHgDyQKYQQtnTThGfY6fMgHlTxUcESOmmdOFJayGTfPrhETQKLmez/TKQ8M9nepQrR5thsOsrRo0cbvX9aWlqzRs+FYzqvK0rQWFRa/Xnbt585xsGiPFw0OmKDBtY5vmjrx1grSnAK7INrnxGtUbIQQrRbt931X3a63EwApbxb8D6+Wid2GXN4oPvVOIeNRqks5dhrN1B5+pC9SxWiTdHa4qRz5swhOjqaHTt24OHhccF9jxw5wujRo0lNTb3k6xqNRuLi4vDy8rrgyHVSUhKJiYmEhobWjtrPmTOn3v1SUlLw8fEhOTmZuXPn4uXldcl1tmWKovDV76f5r0vNqIlraN2pKOdGwcd3H4Cnk3Od4889kOkz+uF6H9gUQgjRctRqNTdN/YwfF8fQ3/Ir8QUrmOY9iZ/OZBM3cDzzy4xUZqVy7NUxBD29VaYICtFCbBLCQ0JCmDdvHkFBQcyYMYPJkycTEhKCp6cnULOEfUpKCkuWLGHVqlUsXryYoKCgZl8vLi6OzMxMoqKiSEpKIjo6usF9V61axfLly1m5cmXta0lJScTExJCYmFjnfcTGxgIQHh5OREQEGRkZza6zPdiXU4LZmEGvwGxQaXAJuv687ZUWM8sz04D6e4OXHdxC5Ym9qJxcMVxdd4VNIYQQLc9J58SI+79h6zvXEqnsZ77xBx4zjGXN6SN0uHoafy8vojonnWP/up6gJzejcW188wUhRP1Uig2XxkpISGDmzJkNjmYqisKCBQuYPXt2i10zIiKCyMjIeh+iNBqNBAcHc+TIkToj2hEREcyYMYPp0xvuxOHt7c3SpUtrg3l9TCYTBoOBoqKi2h862pNX1h/myJaFPOn1Ac5dRxI48fwHelZl7WLKxo/o7GrgyKSn0KjPnxF1/K07MG37HK8R0+l0vzwIK4QQrSkn7wQHP7qWrurjfKa5guc9rsSiKDzTtTd3fP0slqLTuPa5jm7/txb1nz7JFOJy4gh5zabL1k+fPp2CggIefPBBDAYDiqLUfk2cOJGMjIwWDeAXs2LFCkJCQuqdUjJlypSLdj8JCQmpM1ouzvf1739sTdjwVJS7QiPqBHBLaSHFO74AwHuktIMUQojWFuDfmc4TviPP6sMdlm38vWwfAC9lH2TDLS+gdvGk7MBPnFhyJ4rVYudqhbi82TSEQ00P8CVLllBQUIDVaqWwsBCr1cqKFSsIDq67SqItrVy5Eh8fn3q3hYSEsGPHjto54t7e3uzYsaMVq7v8nSyq4PCJY0Q4HQTqzgfPKS9m7fGabfVNRSn67TOU6kr0XQfi3H2I7QsWQghRR2hQX3RjVlNsdeWhqkSmVp8A4K/Zh9g1YR4qrRPFKWs4/eEsbPhhuhBtns1D+J81tIiPyWSy+bVTUlIa7Ed+7vXMzEwAIiMj6+ybmZlJRETdhWVEja/3nmaUcwoalRUn/0HoPLuft/2zzJ1YFCtD/brSx6tDneONW5YB4HXt/fJAphBC2NGQ/ldjvPIDKhUdT5atJlYpBuCuk0fInjgPVCoKNy7hzJcv2rlSIS5frR7CG9Ia4dZoNF60u8m5EB4eHn7e66tWrSIkJOSCc8bbu6/3nib6XFeUeqaifHR2Kkp9o+AVx/dScSQZNFoMV91p20KFEEJc1PBht5IZ9gZWRcU80/uM1VixKgq35uVQdOvzAOR9+TwFGxbbt1AhLlM26Y7S1FHtjIwMCgoKbFFKo50L5+fqWLBgAQsXLgQgPz8fo9HYpDaKf/4z0Ov16PX6Bva+/BVXmNmafpJFAWlA3akouwtOklZwEie1hikhdaeaGLe8D4DHoJvQevrbvF4hhBAXd8PYB1ltOk34iRd5syCeB/z/j5+rqhhXUsnmMX9Ht+51Tn/4MFoPfzyjJtq7XCEaVFlZSWVlZe3vW2MGxsU0O4RPnjyZ1atXk5CQwAMPPHDeNi8vrzYxnaC+3uGN1bVr1/N+/9xzz/H8889fYkWOa+3BXKJ0abioq9B4dMPJf/B52889kHlT1zB89K7nbVPM1RT9+jFQMxVFCCGE45gQ+xTLPzjNFcYEFuf+m3sD55BaXsoYJw82DrsHtn7IicV/QeP+I259R9i7XCHqNW/ePF544QV7l3GeZofw1NRUFEUhJSWlTggPCQmhoKCA6OjoBh+EPKegoICMjAzS0tKaW0qLOPdA5sXqbazs7OzzWt605VFwgK/+0BXFLfTm834IM1stfJq5E6h/KkrJnrVYinLQeHbAfeD1dbYLIYSwH5VKxaS732TV0hyGVnzF4lOvc2/gY+wrL+Ymr1DWDr4Zc9o3ZL9xK0FPbsa52yB7lyxEHXPnzuWxxx6r/b3JZKozYNramh3Ck5KSWLVqVb1zpENCQli4cCETJkxo9Pl8fX2bW4pD8vT0bDd9wqstVtYeOMXfvWpGu/88H/zHEwfJKS/G39mNcV361Dn+3FQUw7C7UGl1ti9YCCFEk2g0am6d+gnfLb6ecOsW/nv6bR7o+BBHykxM7nIFK0sLqD78C8cWjSPo6V9w6lB/EwQh7MURpwU3+8HM4OBgZs+eXW+3k5iYmAa7kFzofLYWEhJS++Dln52bC97UugVszswn2LIXX40Jld4L587Xnrf93FSUv4SEo1NrzttmNuVRnPYNAF7X3Ncq9QohhGg6Zycnoqd+yV5lAN0o4PXTywh0dmNPSSHT+96IrssAzEWnObZoLGZTrr3LFcLh2aQ7yuzZsxk8eHCTjklJSbFFKecJDw+vnXbyZw11RREX99XeHGLOLdATNA6V5n+j2YWVZXx9bC/QUG/wT8FixjkoAueuA1qnYCGEEM1icPcg4q7vyLQG0Y8TLMj7Ah8nZzab8pkbdRdav2CqctI5tuh6LOX2f/BNCEfmMC0KW0NMTEyDI+EZGRlER0e3ckWXP0VR+Or3k0Q717QmdAu95bzt32bvp8pqoZ9XAIN8OtU5/txUFHkgUwghLg+B/h3pOvE7Tlo6MMx6gBcLN+Gm1fFFYS6vDZ+JxsOfiqM7yH5zPNbqyoufUIh2yi4hPCsri6ysrFZvDzN58mQKCgrqDeKrVq1ixgxZKr2p0k6acCrJIFh3CtROuASNPW/7V8d+B2B89wF1OuZUHE2j8tguVFonDFfe0Wo1CyGEuDS9uvfEedwXFFo9GGfezlOlu3FSa1hakMvH0f+H2tmdsn0bOLnkblneXogG2CSEP/TQQxfcnpiYSGJiIkuWLGHmzJksWrSoxa5tNBob7Dnu5eXF0qVLiYuLO+/1cwvxxMbGtlgd7cVXv5+unYri0nUkaieP2m3l5mrWnahZpv6Wbv3rHFvbGzz8NjTuLdOVRgghROuI6BdF0VWfUGbVM7kikcerj6NWqXilMI914+ai0jphSl7J6Y8fleXthaiHTRbrSUpKuuD2adOmnff7nTt3smjRIh5//PFmXW/hwoUkJyeTmZlZ+xUTE4OXlxdTpkw5L1zHxsbi5eVFXFwcoaGhtXPEExMTm3Xt9u7rvad52vnsfPA/LdCz/tRhSs1VdHE1EO7b+bxtirmKol8/AcAgD2QKIcRlaeRV4/i6+G367J3G1JKVlPpO4w2zC/8wFvDh9XMZ8u2LFK5/C61nAP63PWvvcoVwKDYJ4U39iXfIkCEkJCQ0+3pNXVQnOjpa5n+3gKyCMk6cPsqQTocBcA256bzt5x7IvKVbvzpTUYrTvsVSko/WqxPuA8a0TsFCCCFa3C1j7uKz4hyuzJ7LI/lLKe34GO+Um7mnuISvxz5O8NpXyfviOTSeHfAZNdPe5QrhMGwyHaU5q2U29MCkcFxf7z3NaJeaBzL1AVFo3f/34KXFauWbsyH81u4NT0UxXH0Pqj+1LRRCCHF5uX3CY2z2/gcAcadf4w6PmnUybqtUODOi5nmr0x8+jCl5td1qFMLR2CSENzQn+89MJhNpaWmMHTv24jtfZqKioggLCyM+Pt7epdjM13tzarui/Hkqyra8Y+RWlGBwcua6jqHnbTMbT1Oy+wcAvK69r1VqFUIIYTsqlYq7757PZpc7UQHPZr/CrV5+WBWFsSpPyobeDorCicV/oXT/RnuXK9qx+Ph4wsLCiIqKsncplxbCJ0+eTGRkJD4+Pmg0mtovo9F43u8b+vL29iYiIoLMzEyWLFnSUu/JISQnJ7Nv3z5mzZpl71JsorCsipQjxxnmvBuoG8LPdUW5oUvfOgv0GLd+DFYLLj2uQh/Yu3UKFkIIYVNqtYopU5eyVTMOncrKC1kvE+MdQJViJcYjCPPA61HMVWS/fivlR3fau1zRTs2aNYt9+/aRnJxs71IubU74ihUran+dlJTEggULWL9+PSqVitGjRzfqHDExMUyfPr3elTeF4/pufy7DnHaiV5nRGkLR+YTVblMUpTaE39Kt33nHKYpCkfQGF0KINslZp+XmqctZlzCGCNU2XjqykNLgOWwtzOGGDkNY16MIa/pWji0aR/DTv+AU0MPeJQthNy32YOa5hx1nzJjBhg0bWLduXUudWjigr/eeJrq2K8ot5z0HcKAol8OmMzipNYzr3Oe84yoyk6k8uQ+VkwueQye3as1CCCFsz9PNhWvu+5qU90bST7OPfx55k8e6/5W0ojwmBo/gi4piLMf3cPTVsQQ/sxWtIcDeJQthFy0+J3zJkiXSD7SNqzRbSDp4kpEuOwBw+9NUlHNdUUYG9sDTyfm8bcaflwHgGTEBjat8+iGEEG1RR29v+t7+LZmWbnRT5fDS8WX08vDhUHUlU/vdgtovmOq8TI79+yaslaX2LlcIu7DJg5l/XgxHtC0bDp+hL7/jpS5B7eyHPvCq87afm4py658W6LFWVVD022cAGGQqihBCtGmhnbvge8s3nLL40deawUunv6SLqyfbKiuYHX4Hanc/Ko6kcPyt21EsZnuXK0Srs0kI//NiPKJt+Wpvzv+mooTccF6LwVNlJrblHQPg5m5h5x1XvONLrGVGdL7dcOs7svUKFkIIYReDe/bFMmo1hVYPIsxpvGj8GT+9K99XVfLqlfeh0jlTkvYtpz96RD5FF+2OTUL4OSaTiTVr1pCVlVXv9pkzZza4TTgmRVFYeyCHaJdzrQlvOW/7uakoQ/260ulP003OTUUxXHMvKrVN/+oJIYRwENcOuYpTkR9SZtUzvHwTL1QexEOnZ5lZ4bNrpoFKReHGxeR/v9DepQrRqmyWhFavXk1sbCyTJk0iMjKy3n0WLFjA4sWLWbNmja3KEC3sQG4JrqUH6KLNA60LLt3OX3n06wYW6KkuOE7p7zUP63pdfW/rFCuEEMIh3Dj8Rvb0jqda0TC26AueV+XjpNbwsuLEz8NqpifmrniCol8/tXOlQrQem4TwI0eOkJmZycqVK/H09CQ2Nrbe/QwGA/PnzycjI0NGxC8Taw/mEnNuKkq30ah1rrXbiqsr2HCqZgn7P7cmNP7yISgKrr2H4xRw/uI9Qggh2r7bb7yHXzr9E4Bb897jKTc1KlQ8pPMmI6ImJ5xYeh+l+zfZsUohWo9NQvjChQuZPXs2BoOBwsJCFi9efMH9Z8+ezYIFC2xRimhhPx7IY6RLKgCuIed3RVl7/CBVVgs9Pf3o+4eWUzW9wZcB0htcCCHas/smP8Y6z5rl7e88/i/+4esDwHj3bhT0HQWWarLfvI2K43vtWaYQrcImIbw5D1fIAxmOr6zKzO4jmQzQZQDgEjT2vO1/XKDnj33Dyw9vpSrnMCq9G55R9X8qIoQQou1TqVQ8cO881uvvBGB6xgs80KEzikrFOP9BVHQPx1pWRPZrN1BdeNLO1QphWzYJ4X8MYI1VWFhog0rsJyoqirCwMOLj4+1dSov5KSOfKG0aapWCzm8AWvdOtduqrRa+P74fqNua0Hh2hUzPqEmond1br2AhhBAOR6tRc8fUBLYQjVZl5dFDzzExoBvlajU3d78Wq38I1fnHyH7tRizlxfYuV7Qx8fHxhIWFERUVZe9SbBPCMzMzW+UYR5acnMy+ffuYNWuWvUtpMWsP5nGd804AXLuPOW/bT6czKKqqwN/ZjSv9u9e+bq0sw7R9BSBTUYQQQtRw0+sYd/9ydliG4KaqYPahVxjl35XTai139bkRPPyoOJbG8fhJKOZqe5cr2pBZs2axb98+kpOT7V2KbUJ4cHAwX3zxRaP3nzt3LhEREbYoRbSgdQdPc61zGlB3Ksq5rig3d+2H5g/tB0t2fYe1ohidfzCuva9ttVqFEEI4tg4GDwbd8SWHzMH4UcDcjHjCvTuyR+PEY4MmgZMrpXt+5NQHD8mUVdEm2SSEz5kzhwceeKBRQfyJJ54gISGBhQulP6gjy8wvRWvci5+mCLRuOHcaVrtNUZTaEP7nriimlNVAzVSU5kxTEkII0Xb16BSIz01fctLiT7CSxTMnVxHq7kOi1pXXIu4AlRrj5nc58/U/7V2qEC1Oa4uThoSEMH/+fCZOnEhkZCSTJ08mJCSEkJAQCgoKMBqNJCcnk5CQgNFoZMWKFXh6etqiFNFCfjyYx/BzU1G6jUSlcardtjP/BNmlRly1OqI79ap93VpVTnHatwDyQKYQQoh6RfXpy1rjZxRtvZUBVTt4wdSBx1zDeR/oGjGFSSmfkbfmWXS+3fC6RtaZEG2HTUI4wPTp0/Hx8WH69OnExcXV2a4oCl5eXqxbt47Ro0fbqgzRQn48mMsdZ0O4S/c/TUXJrhkFH9OpNy5aXe3rpb+vQ6ksRefbDefg+hdsEkIIIcZdOZxPjQmE77+PK4vX8rJLAP/QduBF9050HnATw/Z8y8n3HkTrGYD7wHH2LleIFmHTtcNjY2M5cuQI8+bNY/DgwQQHBxMcHMzo0aNZsGABBQUFEsAvA1VmK9vSjxLudBAAl6CY87Z/dbSmNeGfV8k0JddMRfGImCBTUYQQQlzQX8ZN4qfAV7AqKkbmfsDLHiq0KjUzfXqR0es6sJjJ/m8s5Zn2f6BOiJZg0xAONatizpkzh9TUVNLT00lPT2fdunXMnj3b1pcWLeSXrAIGqdLQqqxovXqiM4TUbjtSnM/uwlNoVGpu7NK39nXFXEVx2tcAeEZNbPWahRBCXH6mTX6UH9z/DsCNWQt5MaADikpFbMchnOkeiVJZyrHXbqQqJ92+hQrRAmwewjds2MDcuXMZO3Ysa9asOW/bE088IcvVXwbWHsj9X2vCBrqiXBMQhK+zW+3rpfs2YC0rQmvoiEuPYQghhBAXo1armHb/K6zVTAFgwoFnmNstFLNaw41dr6KsY28sxXkcXTQOc1GOnasV4tLYLIRnZWURFRVFTEwMCxYsIDExsU4v8Llz57J48WI2bNhgqzJEC/jxYC7Dz7Um/FN/8HMh/M8L9JzriuIRMR6V2uY/6wkhhGgj9FoNtz/wDputI9CqLNy+ey4zu/WmTOvELSGjqPbuQnVuBsdeuxFrRYm9yxWi2WyWjqKjoyksLGTx4sWkpqbWuyKmwWBg/vz5rFu3TkbEHdTJogrK8vbRSXsGNHqcuwyv3ZZfUcrmnJofrP7YmlCxmCne8SUAHpEyFUUIIUTTeLvqGXHPclLNA3FTlTF1zzNM6dKLHCdX7uh7A1Y3HyqyUsn+b6ws5iMuWzYJ4U888QTR0dGkp6czbdo0hgwZgsFgaHD/+fPns2DBAluUIi7RukP/a03o0nk4ap1r7bbvju/HqigM9A4k2MO39vWyg5uxFJ9B4+6LW5/rWr1mIYQQl7/uft70jF3DYXN3fChg1oFFjOkYwkEnDx7ufxs4uVC650dOvvegLOYjLks2CeFGo5HFixc36Rj5B+SYzpuKEnT+VJRzXVEaWqDHI/w2VBqbdcEUQgjRxg0K6oY2ZhWnLL50smTx2NGPiPLtwi8u3jw3KBbUGop++ZDclU/au1QhmswmIbw57ejaWgu7qKgowsLCiI+Pt3cpzWaxKmw+mM1Qfc287z+G8HJzNetO1rQs/ON8cMVqpTi1ZqVUmYoihBDiUo0aNIhTUR9hsrrSoyKVZ/I30tvTnzVuHXh7UM3/Z/K/m09B4n/sXKm4HMTHxxMWFkZUVJS9S7F9d5TG+vNDm5e75ORk9u3bx6xZs+xdSrMlZxvpraShV5nReHRF592ndlvSyUOUmavp6ubFEN/Ota+Xp/+K2XgKtasB937SA14IIcSlmzg8mtQeb1GpaAkr+oFXzJl0cvXkLUNXvup/EwCnP/kbpu0r7VypcHSzZs1i3759JCfbv9+8TUJ4fn4+R48ebfT+a9asITg42BaliEuw9kAuw/VpALh2H3vepxXnuqLc0q3fea/XTkUZfDMq7f+WthdCCCEuxf0330GS/4sADDr1Pv9yt+Ll5MLTvr34rddIUBROLLmL0v2b7FuoEI1kkxA+ffp0YmNjGxXE169fz7Rp03jiiSdsUYq4BDXzwc8+lPmHqSgWq5Vvsv8Xws9RFIXi1Jpe8DIVRQghREtSqVQ89Jf/4xuXRwCIOvwKbwR2wFmrY0bgYA4HDUUxV5H95m1UZO+xc7VCXJxNQnh0dDSjRo0iJCSEJ598kg0bNmAymcjPz8dkMmEymdiwYQNTpkxhzJgxzJ8/n6CgIFuUIpopv7SKUycPEKw7BSotLl1H1m77Le8oeRWlGJycua5jaO3rFVmpVJ85ikrvhvuAsfWdVgghhGg2jVrFtKkL+VEdC8DQXXG8ERoGag13dL2S3E79sJYVcWzROKrzj9m5WiEuzGatK861HPxz+8GFCxfW/lpRFJYsWcK0adNsVYZopsRDeVxzdiqKc6erUOv/12Lyq2M1XVFu6NIXnVpT+7op+exUlIE3oHZyab1ihRBCtBsuOg2THniP7xbncK1mC1duf5RXr0rg//ZvZ3zwCH6sKsP9zBGOvjqWoKd/Ruvue9FzCmEPNn0wc8GCBaSnpzNhwgSCg4NRFKX2a+LEiWRkZEgAd1AXWiXz++z9ANzc9U9TUVJWAeARJVNRhBBC2I6vmzPX3buSNHN/3FRlXPvb33m275WYdM6M7xFDlWcAVacOkP3vm7FWltm7XCHqZfPuKCEhIaxcuZL09HSsViuFhYVYrVZWrFghD2M6KKtVIengSYbpa+bU/XE++NGSAvYX5aJWqRjTuVft65XZe6jKSUelc8Z94A2tXrMQQoj2pbufD6GxX5Jh7ooPZ4hJfoqHe0Zy2tmDv/S5EauzJ+Xpv3L87TtQLGZ7lytEHa3eovBCK2cKx7D7lImuVbtwU1egdg34//buPKzN60r8+FdixzaIxfuK8L5bQPbVIDt7mgRMm0zSpKlRE7ed/qYNijPdN1skabq5tXDTfdqxIWmmTdvEkp2kzdIUkJ04cZzYkhfwEtsIgcFm1fv7Q0gGAzYCpFfA+TyPnsSvpKsD1+Cjq3PPJXb8ssB9L9X4eoNfMX4mKXHnT8/0d0UZu2Q1UQnjwhuwEEKIUWnprBnErn6OjztSmdxxkPw9P6Jg5mI+TEzhkcV3okTH0bjrzxz/zaNyKKCIOKr0CT906BCHDh2ioaFBjZcXl/BSl1KUxJlGNJrzf01ePupLwm+aOr/bc874WxNKVxQhhBBhdN2S5Xx82e85401kRksVnz38J1ZOns2bYyfw9SV3gkaL57UtnHrhW2qHKkQ3IUnCH3nkkYveb7PZsNlsWK1WPve5z/HUU0+FIgwxQC/vO8V1cZ2tCbvUg7d2tLPj2H4AVk+bF7jecvxDWo6+D1ExjFt+e3iDFUIIMerdeW0eu+duolWJJrP+7zzWsJsVqVN5IXk6P+s8zOf0C9+i7hWrypEKcV5IuqPY7faL3n/hZsxdu3bx1FNP8ZWvfCUU4YggNDS3sf/IARZMOoyChoSZeYH73jx5iMb2FsbHj8HQ5ZRMfynKmIW5RI3RhTtkIYQQggduu4/NfzjO6pNPMOfYL/nunP/mi+PS+Dkweb6Ru/bZOP6bR4lKmkhS1ifUDleI0KyEB1t3tWLFCpxOZyhCEUHaeeA0V8b6VsHjJ2YTlZAeuO+lmn0ArJo6D22XEpUzna0Jk6QURQghhIqKPvll/p64DoB5+7/HM2k6JsSP5esTl/Cm/mpQvBz9+ac4+9HrKkcqRIiS8K7HmPeXy+UKQSQiWC9/eIrrezklE3qvB289dZDmww7QaBlnuDN8gQohhBAX0Go1fOahJ7FHFQAwZ/eX+VnGPMbGxPPotMv4cPpylLZmjjxzO80176scrRjtQpKEu93ufj2uoaGB3bt3s3q1nK4YCRRFwbbvOFfHvwtAwszz83K0qZ53646jQcOqqefrwf0H9CTOv57opPHhDVgIIYS4QHxMNIWf/RVvcgMxmnbmvvU5rAsvRxsdw3/Muo4TE+fhPevhyNM30VZbrXa4YhQbVBK+Zs0asrOzSU1NJSoqKnDzeDzd/tzXLSUlhaysLFwuF1arbJZQ20enmkhu2oNO24gmLoW4SdmB+/yr4Dnp00iPHxO47u+KkpSTH95ghRBCiD4kJcRifKic3R3LSNScY+4/1vLTpdfTEhXLPbNzaUidQbu7hiNP3URHU53a4YpRalAbM7dt2xb4f7vdjsViYceOHWg0GnJzc/s1htFopKioaMT1D8/JySEqKop169axbt06tcPpF19rQl8pSuKMXDTa8389Xjrqqwe/adr5UpQ2dw3nnP8CjYZxWXeFN1ghhBDiIiYkJ7H8vj+z/39uYE7UQRa9tg7LdT+l+J1XuGfual587wU4tpcjP7yDmY9tRxuboHbIIgw2bdrEpk2b6OjoUDsUNMoQd683mUzs3LmT/fv3D+Www0ZDQwPJycnU19eTlJSkdjhBuWXLv1hb9zDLY/eTbtzCuEWfBqDd28GEP36D+tZm3rj1C1wxYSYAbttPOPH7L5Iw52oyviqbXIQQQkSePc6PaHhhJVOiTnJYu4CXL/8WJXtfZ27TabbteZ6o5jOMy76baevK0GhVOT5FqCAS8rUh/9tmtVrlVKph6FxbB7tdB1kacwCAhJnGwH3/OnWE+tZmUuMSyUmfHrjub00oXVGEEEJEqiWZc9HkPUeddxwzvR9wo+OHPJiZxUdj0nl04W0oUbGcqXyek9vMaocqRpmQvOUzm+Uv8nDzD1ctOdG70GoUYtKXED12SuC+lztbExqnzCWqc5WgveEkZz/8JwDjsu8Of8BCCCFEP1217HJqL/8d57yxzGl5k7sPPMet0xbwZtIUvr3wFgBq//4U7p2bVY5UjCYhScK7Hsazc+dO1q9fz+rVq3n++ee7Pe7xxx/n0KFDoQhBBOmlfV2Pqu/emrC3evAzVS+A4iU+I5vY9JnhClMIIYQYEOPVt/Dhwp/QrmhZ2PBnHj61i6smzKI8LZPfzlkJwInffZ7Gd19SOVIxWoSs+OnQoUPk5ORgNBqxWCzYbLYevcDXr1/P5s2b2blzZ6jCEP20/cOPubYzCU+Ydb414cfnzuCoPQrA6q6tCaUURQghxDBz100PUTXtWwAsPVnKf7V7mJ88gSenLOcfM7LB20HNpjU0H3lX5UjFaBCyJDwvL4+6ujo2b95MVVUVdXU9WwAlJyezceNGtm/fLiviKjrsPoum7j3GR3kgegzxU64K3OdvTWhIm8rEhHEAdDS6afrA98ZpnCThQgghhpHC/GLe1D0KwFLXd/jmuCQmJibxn7OuYf+EuXibz3DkmVtpqzumcqRipAtJEv7444+Tl5fHgQMHWLt2LStWrLhoC8KNGzdisVhCEYroh50HTp8vRZlxI5qo2MB9/qPqu56SeWbXn6GjnbjpS4mbNCessQohhBCDodFo+OT9P+Dt+LvRahSWvvdfPDl1HnGxCTw4x0ht8hTa3TVUP3M73uZGtcMVI1hIknCPx8PmzcFtbpCOKup55cDpQH/wrqdkdni92I59BMDqLvXgDVV/AqQURQghxPAUFaXlrs/8jl1R1xGraWdxxSP8cP6VNMUm8h/zb6Y5IZnmww5qfn4vilf9ftJiZApJEq7RaMLyHDF4iqLwrwPVGGJ9ZScJs863Jqw4XY275SzJsfFcMX4GAN7WczS9bwNgnOHO8AcshBBCDIG42BiMn/kTHyoLSdI2Mf/1dWxcciM1CTo+O/8WvFGxNO7+Cx//8ctqhypGqIjpSn/hpk0RHvtPNzGjtYoYTQdRybOJSdYH7nu5sytK3pS5RGujAGjauxOl9RzRqdOJm75UlZiFEEKIoTBuzDiW3PsiR72TmKw5wdLXH+exhdfyTvIUzPNvAsC9/Ue4bT9ROVIxEoUkCa+treXw4cP9fvzzzz9PRkZGKEIRl7Bz/2mujHsPgMQZK7vd11s9eOPuFwEYt/w2+fRCCCHEsDd14jR0t/6Jeu9YMpUPuNrxM+7Vr+Cl8XPYNPtGAE78z5c40/nvnxBDJSRJeFFREfn5+f1KxHfs2MHatWt5/PHHQxGKuIRXDpzmyrg9AMRPvz5w/XRzExWna4DzrQkVReHMO75fQmOX3x7mSIUQQojQWDwvi4Yrf02rEs3ille469BrrJw8m81TV/C3aQZQvNRsKuTcIYfaoYoRJCRJeF5eHitXrkSv1/PEE0+wc+dOGhoaqK2tpaGhgYaGBnbu3ElhYSGrVq1i48aNzJo1KxShiIvwehV2uVwsiPW9WUqYdj4J3370QxQUlqZMZuoYX2eb5iO7aXfXoIlNZMyCG1WJWQghhAiF6668gw/n+Dq1raj7NY8217E4ZTL/rb+Od8fPQWk9S/Uzt9FWW61ypGKkiA7VwP6Wgxe2HywpKQn8v6IoWK3WbidsivB578QZ5nT4uqJEpy0mKnFC4D5/f/CuB/T4S1HGLjaijY0PY6RCCCFE6N1x2xfY9jsXObWbWHLwW3x7RSmfbz2Lad5qnmttZIrnOEeeuY1ZT/yDqMS+Wy8L0R8h3ZhpsVg4cOAAd999NxkZGSiKErjdc889OJ1OScBVtLNLKUri9PMr217FG9iU2e2o+l1/AaQURQghxMh1z71PUxV3K1EaL5mOz/OT2dloEpJ4cMFtNCYk01L9LtU/vANv6zm1QxXDXMi7o+j1esrKyjhw4ABer5e6ujq8Xi/btm2TzZgqe9V5flNm/PQbAtd31R7jVHMT42LiuGrCLADaPSdoPlgBwNhlt4Q7VCGEECIsoqK03PrQH3hfs4Ix2mamvvYw1uWrOJWg46GFt9Mam8jZD/9BzaZClPY2tcMVw1jYWxRe7ORMET7tHV72HvwQfcwxFLTET702cJ+/K8rKyXOIjfJVLJ15568AxGfkEKObHP6AhRBCiDBJiE/g8vv/zCHvDNK1tUywf44fZ9/CvnETKVp4Ox3Rvh7ix559GMXrVTtcMUxFRJ/w+vp6Vq9efekHDiM5OTksXLiQTZs2qR1Kr3YdbWAxuwGIm2ggKl4XuK+3UpTG3b5SlHHLbwtbjEIIIYRaxqdOZOpdf6bWq2MWTma8+nW+ucxIlW4aX5p/K4omivo3f8fHf/yynPo9jGzatImFCxeSk5OjdiiRkYS7XK4Rd1hPRUUFe/fuZd26dWqH0qudB05zRdz7ACR0KUWpaznLW6d83VJu6tyU6W1tpvE93ymZY1dIPbgQQojRYW7GQtqv/yPnlFjmt/+Lpbt+w7r5V/Nqup6vBw7z+SGn//J9lSMV/bVu3Tr27t1LRUWF2qEE3x3lkUcewe12D2kQdrt9SMcTl/bK/lN8Ne5dAOK7bMq0H9uPV1FYqJvIjLEpADR98ApK61miU6YSP2O5GuEKIYQQqrgiK5e/1/6Eue9/jqVnyomu0XM6YzlbgZSOFv7rIzunnvsqUWPTSF35ObXDFcNI0En41q1bqa+vH7KPXjQaDYqiyOmLYdTa7uVQ9QdMTT+Noo0hfspVgfte6ixF6daa8B05JVMIIcTodfOqhyh3u8g6YWHh0RIeTH4G95S5/ApIb2/mAdfrnPjto0SNSSH58kK1wxXDRNDlKHq9nvz8/ECXk75uVquVoqIinE4ndXV1vd62b9/OPffcQ3l5+ZCvrou+/bu6juXadwCIn3QZ2pgxgK9v+8s1vv7g/npwRVGkNaEQQohR7+413+LfYz4JwKz3v8JXEhLJSZ/Ok9Mv468zLgNF4aj1fhr3vKxypGK4CDoJT01NxWQyXbTLyaFDh3A6nWzevJmMjAySk5N7veXl5bFt2za2b98uK6xhtHN/LVfG+/qDd60Hf7fuOMfPNZAYHcO1E/UAtFTvod1djSY2gTELV6oRrhBCCKE6rVbL3Q/9kqqY1cRoOpha9Tm+PzGDeboJPJFxNW9OXQYdbVT/+G7OHnhL7XDFMBB0Em6xWMjOzr7oY6xWKxs3buz3mJs3b6a0tDTYUMQAvbL/VJf+4OfrwV/ubE144+TZxPlbE3Z2RRmzMA9tbEKYIxVCCCEiR0x0NLc+XMa72iuJ17SS/vqn+WlmFpPHpLAu80bemzgfpfUsR35wK80176kdrohwQSfhK1asICkp6aKPSU1NDToQae8THufaOjh5bA/jozwoUfHET7o8cJ+/HvzmqdKaUAghhOhNQnw8Nz70F/axmHHaJpJ23Muzi29gXPxYPjN3FYfT9Xib6jjy5CpaTx1UO1wRwULSonAg7QalJjw83jzkJjvaVw+eMOUqNNFxADS0NvPGx4cAWN1ZD95e/zHnXP8GYKwk4UIIIQQASeOSyH7g77i8etK0HsZuv5dfGW6B2ETunXcTp1Km0+45zuESI+2eE2qHKyJUxCThI61PeKTaeeA0V8b7PiJL6FKKsuP4ftoVL3OTxqMflwZA4zt/A0UhflYWMSlTVIlXCCGEiETjUycy91MvU+OdwiTNxyS99Gl+ddkdNMWOoXD+LZwZN4G2k06OPH0zHeca1A5XRKCQJOErVqzg2Wef7ffjd+7cKeUoYfLq/lNc3nlIT/d6cF9XlK6tCc90tiaUVXAhhBCip+mTZzLhE3/lpDeVGZpD6F5+hJ9fdgen4sZSuOA2WhJTaD6ym+offQJva7Pa4YoIE5IkfOPGjWzYsKFfifjOnTsxmUyUlJSEIhTRRUNzG2dO7EanbYSYccRNNAC+evyXLjiq3tvWQtN72wEYJ60JhRBCiF7N0y8ibvWfqPeOZbaylyk7H8diuJnqxBTuX3Ar7bGJnP3gFY6W3o/i7VA7XBFBgj6sp782b97MqlWrsFgs3HPPPeTk5KDT6QDweDy4XC62bt2Kw+GgrKyMWbNmhSoU0emfLjeXx3a2Jpx2LRqtb/r31Z+kuslDfFQ010/KBODsvlfxNjcSrZtM/MwVqsUshBBCRLrli67krbN/IOafBcxv/zcdbz3NVwyP8NT7r/HIwtuw7vkTZyrKOfG7LzDpgU3SllkAIVoJB8jLy6OyspKOjg4sFgsFBQUYjUaMRiMFBQUUFxfjdDrZvn07d999d6jCEF284jzNlXE9+4PvPLYfgKsnZpAQHQPAmd2dpSjLbkOjDdlfEyFGtZKSEoxGIxqNBo1Gg8Ph6NfzPB4PKSkpaDQajEYjZrM5xJGGlsfjwWg0kpKSgtFoVDscIQbkypyb+Dj7WVqVaBY127lqzx94aE4O/9JNZ/2Cm1E0Gup2/pzT//cdtUMVESKk2ZXBYMDpdLJx40Zyc3PJyMggIyOD3NxcLBYLbreb3NzcUIYguvjHgRPkxO0FIH7aDYHrO44fACB38hzAV54SaE24QkpRhAiV4uJibDYbxcXF6HQ6rFZrv563bds2srOz0ev12Gw2LBZLiCMNLZ1Oh81mIy8vb1R3yrrUm7DMzExMJlOYohEDsfK6NTjn/wCvomHpmee47dA/+cSMxfwtfQ5PzV0FwKk/fQP3zs0qRyoiQViWOIuLi9m+fTsHDhzgwIEDbN++ncceeywcLy061Ta14j29i7HaZohLIXb8UgA6vF5eO+EEYOXk2QC0HH2fttOH0cTEM2ahvEkSItTS0tIoKipi27ZtQT3PX+I3Uuj1erVDUFV/3oSNtDkfiW65+XO8O+MbACw7XcoDHhcrJ8/mt5MX81v9tQCc+O2jNFQ8p2aYIgJIncEo8Zqrlis668ETp9+ARuOb+l3uo3haz5EcG48hbRoAjbv8p2Tmoo1LVCdgIUYZk8mEx+OhvLz8oo9zOBzk5eWFKarwSktLUzsEVV2qVa/T6Rz2n3qMFnfd8wSV6V8AYGn1Rr6otJKdPo0np+fwtxnZoCgc3XwvTR+8qm6gQlWShI8SO/efDhxV37U/uL8e/PpJmUR11n77j6qX1oRChI9er8dgMLB169aLPq6ysnLUrxiPRJd68yWGn3vufZKKsZ8CYP6+Yr6RlMY83QTWZ1zL25MXobS3Uv2jO2k+vFvdQIVqJAkfJd5wHiMrzteGML7rpszOenB/KUp7wynOOf8FyFH1QoRbYWEh5eXleDyePh+TmpoavoBEWLhcLtauXat2GGKIabVa7n7olzhiVxOt8TLL8QhPT53P1LGpPDo7j33pmXjPNXD46ZtoPSkHFo5GIWtRKCLHiYZmEjxVxI1vQ5M4iZgU34E8LR3tvP7xQQBWdm7KbHy385TMGcuJSZ2mWsxiZFAUhbOtI6svbmJsVMjaixUVFWE2m9m2bRtFRUU97rfb7f0uRSkvL8flcqHT6QJJfXFxceB+l8tFQUEBLpeL7OxsbDYbpaWlgK9bSUVFBRaLpc9V90uN39vjKyoqSEtLo7a2lszMzF6/Rr9LxdI1/jVr1mCxWALPsdls2Gy2Ift+OJ1OHA4HFosFg8GAw+GgsrISgKqqKjIzM3v92j0eD6WlpYE67qqqKkwmEwaDodvXabPZSE1NpbKykoKCgsB9Xb9mo9EYiL+qqmrQ318RHtFRUdz6cBnbratY4v0XU954kJ+v3MaDe1/nofk3U/beC0zz1HD4yVVkfPUNopMnqh2yCCNJwkeBV5y1gVKUxBk3BhKIt08d5lxHGxMTxrFQ5/vBD7QmlK4oYgicbe1g3H//Xe0whtSZ793MmLjQ/OrU6XTk5eVhtVp7TaBcLle/knB/S9gLk8ysrCzKysrQ6/Xo9XqqqqooKCgIJItr1qwJJIzl5eVkZWVRV1c3oPG7MpvNuFwuysrKAtc8Hg9ms7nXGuf+xOKP32g04na7KS0tpbi4GLvdHng9fxxD9f3Izc1lx44duN3ubvOTmZmJTqfrMWcbNmzo9vV5PB4yMjIoKysLzGNRURFFRUWYTKYe36OubDYbJpMpkPwP5vsrwis+Lp4bHnqRN5+9nnna92ndeT/Prt7GfY6XuX/BrTy353lSO4+3n7n+VaISktQOWYSJlKOMAjsPdO0P3qUevLMU5cbJs9FoNCjtrTTteRmQUzKFUIvJZMLhcPTYpOfxePpVC15aWorL5eqREOr1ekwmU48Wd3q9nsrKSrKzs7t13sjLy8Pj8fRomxfs+Ha7nZKSErZs2dLtusvlCqxOX3i9v7EAgZVpf1Kbl5dHXV1d4Hs11N8Pq9Xa441QXl5ej+TZ4XD0+Pr8ifpA+7pnZmb2uBbs91eoI2lcElkP/J1D3lmka92kbH+AX+fcRkNCMvcvvJ2z8Uk0H95F9Y/vwtvWona4IkxkJTxEcnJyiIqKYt26daxbt07VWN46UM1j8b6Eu2t/8Fe6JOEATftew9t8hujkScTPygp7nGLkSYyN4sz3blY7jCGVGBsV0vHz8/MDPcO7rmLa7Xby8/Mv+Xyz2cz69et7vW/NmjWYTKZuZS1paWl4PJ5uJRJwvhXehX27gx3fbDYHvqau3G53rz3Bg4ml61hdn9P1tYb6+9FbIqzT6XrE5r/WdUXe/3x/mctQCPb7K9QzPnUS+sK/c3Tr9UzRHqPlpYf55U3P8sC/nuehRXfw+3ef4+zenRx79jNMLfqdHJQXIps2bWLTpk10dKhfKilJeIhUVFSQlKT+R0qH3WdJb3QQk9CBdtxMYpJnAdDY1sK/Th4GILczCW8MnJJ5q/zwiyGh0WhCVroxkq1Zs4bS0tJuSXh/EiqXy9VrAunnT9QubHPY324rAxm/r5aK/hXrCw2k80tfzwnF96OvsXqLqevX54+lt3ruwQj2+yvUNXNqJufueBH3n41kaA/Quv1L/CzvaT739gusW3ALm997gYa3/kBM6nQmrtmodrgjkn9xtKGhgeTkZFVjkUxrhHvFWcuV8Z39wWecL0V5/eODtCteZo1NIWNcGoqiSGtCISKEv2e43W4HzpdoXEp/Sg90Oh0VFRU9rvVHsOP7Hx9M/++BHEbTV8eYUH8/LsVfl+1fbdfpdGRlDd2njAP5/gr1zZ+9HHLLafQmMM+7i0mvfpuNWbfwVuosvjbXCEDtXy247ZvUDVSEnCThI9wrB7r2B78hcH3ncV9/cH9XlNZjH9B26iCamDjGLhqZB4EIMVwYDAb0en2gzthut/drBda/gnuxFof9rS0fivH9/62trR3Q6w1WqL8fF+NyucjIyCAzMzOw0Vav1wfVYvJSvcPV/v6Kgctadj2eK35NqxLN4tZXmfv2Zr6y+Ab+PGkRP824BoATv/8CDZV/UjlSEUpBJ+G7d+8OQRihG3c0UxSFfx84yKIY32rJxerB/avgifNvRBs/NryBCiF6MJlMQdcO+5OyvlaA/ddzcnIGFNNAxtfr9Rddkb5YgjxYof5+XExBQQF6vb7HhtALy4r8n3b0dl9/VvLV/P6Kwbn2qrs4vPgndChalja9wBUf/J179QasMy7jhanLA6dqnj3wltqhihAJOgnv2sN0KIVq3NFs/+kmZrQ40GoUolLmET12CgDulrPsqj0GnD+k50znUfXjpDWhEGHX20qmfxNmQUFBUMfUWywWrFZrr/eVl5djMBj6tcFzqMa3WCx9HkDkcrm6JaGhEOrvR1/6qtWuqqrq9r3wJ9CZmZkDSpjV/v6KwVllfJi9Gd8CYLl7C/ec3EfulLl8M/NG3ho/F6WtmepnbqflxEcqRypCIegkPFQfe8ku7qHX9aj6xC6tCV85fgAFhYW6iUxKTKK9sZZzne+05ZRMIcKvtLS0RxLlP8a+r3IJt9vda+JVXFyMwWDo0QbP4XBgtVp7tNKrra29ZLnGYMbPz8+nqKio14WW8vLybglwsLH4r13s349Qfz/6kpeX1yMBdrlcGI3GwDgOhyNQ65+XlxfYvOmPr7cSpAtfP5jvr4hMd3zCjGPCfwKw7OhGvqDpYHH6NP5z/k3s102jo7GWI0/dRHv9xypHKoaaRlEUJZgnpKamkpmZGXRtW1/8LZwcDkdEtIsZLP9u2/r6etW7o3zyd1U8dGINc2OqmXDr/zJmzt0AfP6t5/n5vjf5/IJr+NEVn6D+7a0c/dkniZu2mMzv7VE1ZiFGk5KSEqxWa+AkxKKiom4dUfw1wV0TqZKSEioqKrrdl5OT0+PExtLSUpxOZ2DTXm1tLevXrw9sOvR4PKxduxa73Y7H4yE/P5/CwkLy8/MpKSnBZrNht9sDbwYuTFYvNf6FysvLsdlsgX8/uh54M5BYXC4XZrO523P0en2fh9OE4vvRWwwmkymwAm4ymXC73YHEW6/Xk5eXFxivoKCgW7mK/3vk37zZ1/cnLy8vcHpnf76/IvJ5vV6e/+WDZDX+L61KNAcu/y2fr9lHY90xyt4pY0LTaeJnZTFr/atSMjpEIiFfG1ASXl9fT3+eptFo+vU4/2MlCR86Xq/Com9v5W+6BwCYYTpOVILvH5+Fz1v4sP4Uz698kDtnLubYsw/j+ccvSb3py0z61FOqxSyEEEKMVu3t7by4+RaWtb9Kg3cM1SvL+PT7rzHOc4yyd7YxpqWRsUtvZvqX/owmSlq/DlYk5GsDmsUVK1b0OE3sQoqi8OSTT/ZYnbmQx+PB6XSyc+fOgYQi+vD+x2eY07ELgJj0ZYEE/GhTPR/Wn0Kr0XD9pEwURaHxve0AjF28SrV4hRBCiNEsOjoa42ee45+l1zNP+x7pOz/NL27axn2Vf2Htojv4zbvlNL77d47/5hEmP1SKRqNRO2QxSEEn4RqNhsrKyn499rnnnmPjxv41m5c+p0Nr54HTXOFvTTij51H1WWnT0MUl0HLsA9rdNWhi4kicd60qsQohhBACxiSOI+v+F/ngN9cwXVvD2ZcfxnrTL3noX3/iv+bfzI/f/wue135BTOp0xn/i62qHKwYp6I2ZKSkp/X5sMO/SghlXXNo/XbVcGeer706Ydn3g+iud/cH9rQn9q+CJc69DG5sQ5iiFEEII0dX4tClMu/tF3F4dGRoXqbav8GTWLbyaPpvvzF4JwKk/fQPPP36lcqRisIJOwi/cnDNUQjXuaHWkZj+zYk6gaKKIn+pb4VYUJbAS7j+kp6kzCR8jpShCCCFERNDPWog2dxtnvfEs9FYy660f8+VF11M2dRm/mHkFAMd+tZYz7/xd5UjFYASdhK9YsSIUcYRs3NHoVGMLM1p8JUMx4w1o43wbDpxnaqlu8hCrjeLqibPwtrXQ9MGrgNSDCyGEEJFkxbIbOJ1tpV3RsvzcX7ls33Y+qV/Bj2Zdxd8nLQZvBzU/zees8221QxUDJMfWj0BVNfVcHvc+AGNm3BC4vuOYrxTlygkzSYyO5dyBN1FazxKVPJG46UvUCFUIIYQQfbj+uk+xP/PbAGS5reR7jrFyyhyemJtHRXomSutZqp++hZZjH6gcqRgIScJHoMoaD0tjfQl3/JSrAtcvPKq+cU9nV5RFq2SXtRBCCBGBbrmjmN3pJgAWu77Gf8aNZWHaNNYtuJWPUqbT0eTm8JOraKutVjlSEaygk/BDhw6FIIzQjTsa7TlyjNnRRwGIneg7zMGreANJuNSDCyGEEMPHnff+iHcSbiVa4yVj16NsmLqICckT+MzC2zk2bgLt7hoOP7mK9sbQnGouQiPoJNx/8tdQC9W4o1HjiV1oNQrt8ZOJHjMZgD11Jzjd0sSY6Fhy0qfT3nCK5sMOAMYuylMzXCGEEEJchFar5ZaH/sgH2mwStc2k//MBShflEjM2nU8vupO6xBRaj++j+ge34m1pUjtc0U9BJ+G1taF5lxWqcUeb4w3NTGzdB0DipKzAdf8q+LUT9cRGRdP0vh2AuBnLiNZNCn+gQgghhOi32Nh4rn7wRQ4pmaRpPcS+dC+/u+wTNI4dz4OL7uRs3BjOOd+m+if3oLS3qh2u6IcBnZh500039aubicvl4oknnrjk0fUOh4P6+vqBhCIuUFVTz5IYJwCJk7MD1/2bMlde0B9cuqIIIYQQw0NyUirzP/U3Dv/Bd5jPRy8+xO9v+zVr3vgjRQvv4Fd7nqdpz8sc/cVDTC36HRqtbP2LZANKwm02Gzab7ZKPUxQFi8XSr8fJxsChUVXj4epY36p33ETfSnibt4N/nHABsHLKHBRFkXpwIYQQYhiaPCmDhtteoP7F1czV7mXP377Aszc/wwOvb+WLC25l0/v/R8NbfyB63Hgm3vuM5FcRbEBJeEZGBgaDYciCqKqqko2ZQ+S9I8d4IOYYAHETfHNUebqaxvYWUuMSWZY6mZaje2n3HEMTE0/inGvUDFcIIYQQQZo3NwfHjf/LuVfvZon3bXbZvsmPbnicL779Ak/MW83GD/6Ge/uPiE6aSPrt69UOV/Qh6CRco9Fw4MCBIQ8kLS1tyMccbRRF4eyJKhgLHQnTiEocD5yvB79hUiZajTawCp44/3q0sfGqxSuEEEKIgTGsWMWbTc8SXfEgK1q30/FmGt/Iupdv7YbU1nMUO1/hZPkTRI0bT8oNn1U7XNGLoIuFUlJSQhFHyMYdTY41NDO1vXNTZpd68J3+evApvtaEUg8uhBBCDH9XXVNIzcKnAchu/CML3nuZdQuu5nfTDfxyxuUAHP+1iYaqF1SMUvQl6CTcarWGIo6QjTuaVFbXsyS2+6bMc+1tvHnqMODblOltbebsh68BUg8uhBBCDHcrVz/KvplfBSC79qfccPQDCjOW80zG1fx5ylJQvBz9+Sdp2veaypGKCwWdhOfm5oYijpCNO5pU1XgCSbh/U+abJw/R0tHO1MRk5iaN7zyq/hzRusnETV2kZrhCCCGEGAI33/V13htfBMDSI9/mk81nMU6dx9dn5/L6hLkobS1U//AOmg/vVjdQ0Y30rhlB9lbXMDP6BACxE3wtJLseVa/RaAKlKGMWy1H1QojBs9vtmM1mSktLKSkpoaSkZMBjeTweTCYTZrN5CCMUYnS49VM/5t2x9xCl8TLvgy/xpYQUsibM5EvzbmJP6ky85xo4/PRNtH7sVDtU0UmS8BFCURSaT1QB0DFmJlHxqQDsPN69P3iT1IMLIYZIeXk5VqsVi8VCUVERxcXFGAyGoE9ANpvNFBQUUFpait1ux+PxhCZgIUYwrVbLbQ/+jvfjbiRW0860yof59qR5zEqdQtHC2zmUNJmO+o85/KSRNs9xtcMVDFESvnv37ku2GPzFL37BnDlziIqKIioqipycHJ599tmheHkBVHvOMd3r25Q5prMevL71HBWnqwFYOXkO7Q0naT68y/cYOapeCDEIHo+HtWvXsmXLlm7X8/LycLvdlJaW9nssi8VCWVkZxcXF6HS6IY5UiNEjKjqaVQ+/wIdRBsZom0n753/wo9lXokuawIOL7uTkmHTaTh3kyFM30dHkUTvcUW9QSXhhYSFRUVFkZWWRmZlJeno6r7zySq+PM5lMOJ1OFEVBURSqqqooKiripptuGkwIESsnJ4eFCxeyadOmsLxeZZeTMhMm+ZLwf5xw4VUU5iSlM32sLnBUffzMFUQnTQhLXEKIkWnbtm3o9fpek+bCwkLZbC+ESmJjE7j6wb/jYi4p2gbG2j9F6ZJVdIxL59OL76QhIZmW6nc58sPb8bacVTvcsNu0aRMLFy4kJydH7VAGloQfPHiQOXPmUF5eHkiqFUXB7XaTl5fXbYX7qaeeoqysjOTkZIqLi7FarVitVoqKilAUBZvNxqOPPjpkX1CkqKioYO/evaxbty4sr1dZ7WFxrO9UTP+mzJ1d6sGBbvXgQggxGGVlZaSmpvZ6n16vx+FwSFmJECoZNy6FZfe/zFFlGpO0p4h76T5+nXMnp8em89CiO2iOTeTcR69T87NClPY2tcMNq3Xr1rF3714qKirUDmVgSbh/VXvFihWUlZVRVVWFzWbDYrGQlJREUVER77zzDvX19RQXF2M2m3G73WzcuJG1a9eydu1aNm/ezIEDB1i+fDlWq5V33nlnqL+2UeXD6sNMjz4JQNwFmzJXTu5+VL3UgwshBquyshK9Xt/rff7rLpcrnCEJIbpIT5tKxpqXOO1NY6b2CDF/fZgtl93FgXETMS28nfaoWBp3v8ixX34WxetVO9xRKegkfMeOHdjtdkpLS6msrOSee+5hxYoV5Obm8thjj3Hw4EGWL1/O97//fcrKyigqKmLDhg29jqXX69mxYwfJycl9PkZcmqIotJx0ANAxNhNtXDInz51hT51v48UNkzNpOfo+7Z7jaGITSJhztZrhilFEURS8bU0j6qYoSsi+Xy6XC5PJREpKChqNptebyWQK2esHw+PxXLJ+W5JwIdQ1depcdLf/mQbvWOZpPmDMy1/hR9l34NBN40sLbkHRRFH/xm/5eOtjIf3dJnoX9LH1/sT6s5/t/QhUnU7Hjh070Ov1pKamsnnz5ouOp9PpKC0tZf369cGGIjodcp9jlvdDAMZO8dWDv3LcVx++LHUK4+PHUus/qn7e9Whj4tQJVIw6SvtZDm8aWafhzlxXhyZmzJCP63A4yM3NJTs7O/D70Gq14nK5sFqtgdKPvLzI31TtT87dbre6gQghmDMnh3fztnFuxydYytu0vFbC165cx3fega/NM/LdfS/hfukHRCdNIP1WaQ8aTkEn4VVVVZSVlV30MTqdjvXr11NZWdmvMY1GI4WFhcGGIjpVdjmkx78p83wpSvd6cClFESLy2O12jEYjFouF4uLiwPX8/HwyMzMD/99fJpMJu90+oFhMJlO3GIQQw9/SpXm8feYXxPz7QXLaXqatKh3ToluxAmntzfy/A69yctvjRI1NJ+X6h9UOd9QIOgl3uVzMmjXrko/zt6nqj+TkZJKTk4MNRXSqrPZwZ0z3kzLf7jyq/uqJGb6j6vfJUfUi/DTRicxcV6d2GENKE5045GOaTCby8/N7JL96vR69Xk9VVVVQ46ndmcS/IbOvjZtCiPC7/OpP8lrTKWbs/TJXNf0PyoHxnJy5hF8C6e0t3H/oLY7/qoioMakkZd+ldrijQtBJeEpK/z5aXrFiBdu2bev3uPLLeuD2V7uYHF2LgobY8ctpamvhfc/HAFyWPoOz+19HaWsmWjeFuKkLVY5WjCYajSYkpRsjSWlpKS6XC5vN1udjpKxDCDEUrl/1BWxNJ5l92MLV7h+iJH6f0xMzKFEU0ttbuLnGwdHNnyLqyy8xZsENaoc74gW9MTNUR53LEeoDoygKbSd9B/B4k+aijR3LLvcxOhQvUxKTmDomOdAVRY6qFyLylJWVYTAY+uw04nK5+rxPTXq9vs+Nl/43DZEYtxCjnfGu7/DR+AcBuKL6qxSRwOKUyazXX8/bkxaitLVQ/cM7OHfIoW6go4AcWz/MOWvPoucjAMZ1bsqs7DwlMzt9OiD14EJEssrKyj43W/pPnYzEPTMGg6HPPuD+5NxgMIQxIiFEf626dzMfjruNaI2X5fu+iDllFlPHpfLoHCP70jPxNp/hyNM30/qxU+1QR7SQJuHS7ib0Kqs9LIn1bcKM76wH//epI4CvFKXdc4KWI74e7HJUvRCRx+PxBDZfXshqtZKfnx90MmsymcjMzBzQraSkpF+vYTQa+1wJdzqdw6KLixCjlUajZdWn/5f9cVeToG1loaOI703PZmxiEg/Nv5ljKdPoaDjJ4adW017/sdrhjlhB14QHU5sYTOmD1DwOTGV1HQWx3TdlVnSuhOeMn05j4Kh6A9FJ49UJUgjRp75WlO12Oy6Xix07dgQ9Zjg2Zq5Zswaz2dxruUx5eTkWi6XbNY/Hc9FVfyFEeGmjY7nhoT/zxpbrmMX7ZLz5EE/f8Eceff9l7pt/K39673l0J50cefoWZq5/laiEcWqHPOIEnYTX1dXxxBNP9Gsjpd1uJy0t7ZKPq62tleONB8hZ7WRClAcFLbHjl1Hb3ITrTC0A2WnTafrLdwHpiiJEpLJYLD3aAjocDsxmM1VVVZc8EEctOp2OLVu2YDabu7WtLS8vR6/X92ipWFBQgN1ux2q1UlRU1Oe4Ho9HFmWECJPY+HFc/uDL7Hr2aqZEHab51c/wg5W/4vPv/JX7FtxO+Z7n4LCDmh/fxfT/+qucMzLEgk7CgR4rHH1RFAWHQwr7Q8XrVfCe3gXJ4E2ejzYmkYqP9wEwN2k8ybHxfPx+Zz34EknChYhEeXl5WK3WQAlJba3vTXSwbQnVkJ+fj06nw2w2k5mZGVhM6a3Ti9FopLKykuzs7B73lZSUUFFRgcvlCtyMRiM6nY7CwsKgeqQLIYKTOG4CC+7bjvP31zArqoazOz9Pycof8+Xdf+XBBbfxP3ueo2nvDo5t+TRTP/cHNFrZTjhUNEqQhdtarTawk38o2gq63W6cTie7d++mo6Nj0OOpraGhgeTkZOrr60lKSgrpa314shHr5iK+kFTOmAUPMGH1L/jO7u18c9d27ss0UDprMa6vLUMTm8i8n7nlHawQQgghenX8yDucfG4lSZozVHpzeP+6r/OdPTaudB9i83v/h9bbTqrxi0y874cjotNaOPO1vgS9Eq7RaPp9EmYwoqKihnzMka6yxsOSzkN64jtPygzUg6dPD3RFGbPgBknAhRBCCNGnyTOW0XzLczT/7XaytRU0v/Ej1l22lk374L/n38SGvS/itv2YaN1k0m97XO1wR4SgP1MI1cmWGRkZIRl3JKs8Uhc4rj5uYhaKolBxyp+Ez+jWH1wIIYQQ4mIy5t0A1/2adiWKaxQ7y3c9xyczVvDihHk8MzcXgJNl6/H841fqBjpCBL0SPpCd+v3RdWOP6J+DNftJi2rAq4kmJn0JR5rqONncSLRGy9KxKRz+6J+A9AcXQgghRP8syLqHysZa0nZ9nhtbt9HhSsc9dSG/BCa2nuXeQ29x7FdriUoaz7jlt6kd7rAW9Er4ihUrQhFHyMYdqTq8Cspp30mZ6BaijY4PlKIsTZ2M1/W276j61GnETp6vYqRCCCGEGE6yry+iZs43AMhr+Bn57hNclj6dDTOvxDZtBXg7qNm0hrMH3lI50uFNtrgOUx+ebGSudj9w/qTM3kpRxspR9UIIIYQI0rW3/jeuKY8AcMOJ7/E5JZp5ugkU66/HMXE+Sus5qn9wGy3HPlA50uFrSJLw3bt3s3v3bhoaGoZiONEPlTWeQD34+U2ZvpMyc8ZPp+nDfwAwZsFKdQIUQgghxLC2suCHfKgrQKtRuML5GOuTpjJxbCqfm7sKV+osOprcHH5yNW3uGrVDHZYGlYSvX7+eqKgosrKyyMrKIiUlhUcffXSoYhMX4Tuu/vymzA6vl6rTRwHISUqj+bCvP3vC3GtUi1EIIYQQw5dGo2HV/b9hX0IusZp2Vrz7KBumLSEuIYkHFtzCyaRJtLurOfLkajoa5ZCtYA04CV+9ejUlJSUoitLtZrVaueyyy2RVPMSOVH+ATtuIVxNLbNoi9tWfpLG9hTHRscx0V0NHO9G6KcSkzVA7VCGEEEIMU9qoaPIeep6PorIYo21mwduf5Zm5V9MSP477Ft7OmTGptBzby5Ef3IK3uVHtcIeVASXh69evx2azkZGRgcViwWazYbPZsFqtrFy5ksrKSh5/XHpIhkp7hxeNe7fvDymL0ETF8u/OUpSstGm0dG6USJxztdSDCyGEEGJQYmITuOYzf8fFPFK0Dcz958P8eHEupxJ0/MfCO2iJH8c559tU//guvG0taoc7bASdhB88eBCLxUJJSQkHDhzgscceIzc3l9zcXNauXYvNZmP79u1YrVYOHz4ciphHvb0fNzI/yrcpM2mqrx680n9Iz/jpnD3wJgAJc65SJ0AhhBBCjChjxuhYdv9L1CjTmKg9xexXH+HJZXm4xqTx4MLbaY+Jp+l9O0c334fiHf4noIdD0Em4xWIhLy+Pr3zlK30+xn//xo0bBxWc6F1V15MyJ17QGSV1Guf2+5LwxDlXqxOgEEIIIUac9LSpzCx4iZPeNGZoj7Dwtcf45pKVvJc0mc8tvA1vVAxnKp/j+K9MKIqidrgRL+gkfMeOHZSUlFzycRaLBZfLNaCgxMVVVtexKNb3vY2daKC5vY133McAyPK20NHkRhObQPyM5SpGKYQQQoiRZsa0uSTd+mc83nHM5gOy3vo+/7XgGt5OmclXFtyMotHi+ceznNwmZcmXEnQS7na7Wb58eb8fK4be0eq9JGnP4tXGEZu6kHfqjtGueBkfP4aUo+8BkKC/DE10jMqRCiGEEGKkWTAvh7br/5ez3jgWdPyba3f/ggdnZ2NLn8N35q8GoPZvJZz+q0XlSCNb0El4MB8vpKSkBDu8uITWdi9RnncA0KQuRRMV0+2QnnNO36bMhNlSDy6EEEKI0Lgsy8jHWb+gVYlmSfN2bt//F+6csYiyiQv5yZxcAE5ue5y6V7eoHGnkCjoJT01N7fdjdTpdsMOLS3j/4zM9NmX6O6PkpE/n7P43AKkHF0IIIURorby+kP3znsaraFjWUMb9J6q4cVImpVOX8z8Zvjzk+K9NNPy7TOVII1PQSXgwLe+Ceezu3buDDWVUqqrpfkgPnO+McnniWFqPfwhA4uwr1QlQCCGEEKPGbbc8wjvTvwHA8lOlrDt7lKy0aWyccTl/m5EDikLN5vto3LNd5Ugjz5AcW9+XYEpXCgoKQhjJyFF1xM2iGN+mzLiJWXhazvFh/SkAFnt8J2bGTllA1Nj+f2IhhBADZbfbMZvNlJaWUlJS0q+N+xcqKCjAZDLhcPhO+vV4PNjtdgoKCgLXhBCR6+78J/h3+hcBWF5dwuNR7czTTWB9xjW8MXUpdLRR/eO7ONt5jonwiQ72CcFstgxmJVw2cfbP8aPvMVbbTIc2gZiU+VSe8K2KZ4xNJbrzqPpEqQcXQoRBeXk5W7dupazs/EfNdrsdo9GIzWbr9zgej4fy8nJKS0sD13Q6HWVlZRgMhiGNWQgRGgX3lrDtl3Vc3vg7ln70Vb679Ef8v7ZWPp+5kt+2t7Lk430c+cGtzFr/GvHTl6gdbkQIOgmvq6vj0UcfJTk5mbS0tIs+1uFwsH79+os+xuPx4HK58Hg8wYYy6rS0dxDjeQd0EJW+HI02qsshPTM494bvHzA5pEcIEWoej4e1a9dy8ODBbtfz8vICK+NFRUX9GstgMGA2mwOr3nq9nvz8/CGPWQgROlqtlvyHtvB8aT05LX9m0bv/j6eyt7Cuuo2H567ifzta0Z92ceTJVcz66hvETtCrHbLqgk7CAaxWa78epyhKvz6aVBRFjlfvhz3Hz7Aw6gAASVM6N2V2dka5LGUi5w5WALIpUwgRetu2bUOv1/e6Ab+wsBCr1drvJBx8yXteXt4QRiiECLfoKC13PvxHXrTehqHjFRZVfo4fX/FrTAcc3D/vZp7r+D8m1dVw5KmbmPXVN4hOGq92yKoaUBK+YsUK9Hp9UJ1S+uJ2u3E6nbIxsx8qq7tsypzk25RZ0dkZ5YqWMyhtzUSNTSN20lzVYhRCjA5lZWV9/hug1+txOBx4PB7pkiXEKBMXG8Pqh59nxxYjS6lkwVtr+em1v6Fo7+t8av6tvLDneZI/3k/1D29npnkn2rhEtUNWTdBJuEajobKycsgDuVRpiwBHTS1fivF99Bs7wcDRpnqOnW1Aq9Ew65STOnz9weVTBSFEqFVWVrJmzZpe79PrfR8zu1wuqekWYhQamziGax/8K2//8kbma/ey4PXP8pPrfs0je3Zy/4JbKdvzHDjfpubnn2L6F55DEzWgNeFhL+ivOjk5ORRxyME+/XCyZg8J2lY6osYQkzKXiiN7AVikm0S7y7fjOFHqwUUEURSFs+2taocxpBKjY0P2RtflcmGxWNi2bVuf+2SKior6XRIYSv1Z5Q4mCXe5XNjt9sCfnU4n69evl5V0IYap1OQUlv3H3/ngd9ej1x5i0T9MPHXdZv7r3Z18dsGt/HrP8zTu+jMnfvd5Jn3656NyATHoJHzHjh2hiKPb7nrRU3NbB/H170AKRKWvQKPRnt+UmTaNczt9h/QkSD24iCBn21tJ+v1/qx3GkGr4j+8xJiZuyMd1OBzk5uaSnZ0d2NButVpxuVxYrdZA6cdwqJv2J8797XrlcrlwOBzdasgdDgdZWVlUVVVJIi7EMDVl/GRa1rxMzbYbmKY9zop/fomvXfkk39n7T/5r3k388P2/UPeKlejU6Yy/Y2T9W9EfQSfhK1asCEUcIRt3pHj3eAMLYnz14BeelHlNbAzt9ScgKoaEjGzVYhRCDIy/rZ/FYqG4uDhwPT8/n8zMzMD/95fJZOq2qhwMk8nULYZw6G0RxmAwYDAYWLt2rSzSCDGMZUzL4OztL3LyL0amaw9xzdvfwLRiPVagZG4u5o/snHruq8SkTkN3zafVDjesRmcRzjC062g9S2LOn5TpVbyBlfDl9b5DehJmGdDGJqgWoxAXSoyOpeE/vqd2GEMqMTp2yMc0mUzk5+f3SH71ej16vZ6qqqqgxlO7XMVfSjPYzftGoxGTyTQEEQkh1LRozhIqjH/CY7uNTPZy27s/pXbBZ/k9MLmliQcOv8WxX36W6OTJjF2ySu1ww0aS8BDJyckhKiqKdevWsW7dukGPt7umlv+MPQT4kvADDbXUtzYTHxVN+rG91OPblClEJNFoNCEp3RhJSktLcblcFz3cZrQeZuZP4h0Oh2zwFGKYy1lyJf8490diXs9nQdvb3OdMpXbaTTylKExpbSTv+B5qfnoPM9e/RsKs0P28b9q0iU2bNtHR0RGy1+ivkB5bP5pVVFSwd+/eIUnAAU4f3UOcpo326HFEJ2cGSlEMadNodvo3ZUo9uBDDjf9USH9HkQu5XK4+71OTXq/H5XL1ep//TUN/4jaZTJjN5l7vC7a2XAgR2a67bBVHlm2mTYliSdPfWXe6gmVpU3lsTi7vpGfibW7kyA9uofXUwUsPNkDr1q1j7969VFRUhOw1+kuS8GGgrcNLTP27AESlLUej0VDReUjPlUlptFTvAeSkTCGGo8rKyj43W/qPcS8sLAxnSP1iMBj67ODiT877s3q9bdu2PpN5//XsbNnrIsRIcUvuvbybsRGA5bW/5/G2U0xPGs/n5t/MkeTJdNR/zJGnb6a9sVblSENPkvBhYN/JRuZFdW7KnOL7R81fD37NuTpQvMSMzyBGN1m1GIUQA+PxeAKbLy9ktVrJz88PuhTDZDKRmZk5oFt/TjkGX712X8mz0+nsdxeXoqKiPjde2my2Pk/lFEIMX/mf+E/eSP8KANk1T/PdsXEkjE3lwYV34E5MpfX4h1Q/czve1nMqRxpaUhM+DDhq6lnYeUhP/MQVtHa0s8vt24w5130IL5Ao9eBCDEt9rSjb7XZcLteA2sKGY2PmmjVrMJvNvZbLlJeXY7FYul3zeDy9rvrn5OT0WvPt8XgoLy+XzihCjFD33fc9fr/lJNec/S1Z+/6bp5dv4tH2dh5adAf/+842OPAWR39+L9O+UI5GG6V2uCEhK+HDwO6jbhbEHAIgdvxy9tSdoKWjnZTYBBKO7AakP7gQw5XFYumRNDscDsxmc0T3yNbpdGzZsqVHPXd5eTl6vb5HS8WCggKMRmOgxMYvPz8fq9WKw+Hodj03N5eioqKgWjMKIYYPjUZD4WesvBV9C9EaL4bd/8kz+iVUj5vA5xbeTntUDGccL3Di919EURS1ww0JWQkfBo7V7GWMtpkObTwxKfOo+OhtAHJSp3LuH/8C5KRMIYarvLw8rFZroISkttZXBxlsW0I15Ofno9PpMJvNZGZmBlb0e+v0YjQaqays7LW+22q1UlJSwtatW/F4PLjdbtavXy8JuBAjXGx0FHc8/L+8ZF1FluZfZP/7EZ6+6lm+uLeD4nk38fTeF6nb8TOidVNG5GE+GmWkvr1QSUNDA8nJydTX15OUlDTo8bxehU999wk2Jj1NR1oOs+9/g4df38qv91dQMjmDm//4ebTx45j387oR+3GNEEIIIUauU/V1vP3sjSzS7qVWScN25Sa++sGb3FvjYP2BVwCY/JlfkHL9w0P2mkOdrw2ElKNEOGdtE5ma/QAkd27KrDjla0+YdeYEAAmZV0gCLoQQQohhaXxyCos+9VcOdswgTVPLdf96jP839zL+MM3AszMuB+D4r4o4s+svKkc6tCQJj3C7jjZ02ZRp4ExbM3s9JwGYdvIjQPqDCyGEEGJ4y5g8lfF3vsjxjnSmUM2tju9zf8ZyfphxNX+ZvBgULzWb1nB2/5tqhzpkJAmPcI4aD4tifUl47ITlOGqPoqAwLTEZxfVvQPqDCyGEEGL4WzJ7Pkruc3i8Y5nVsZdPfbCFW6ct4Otz8ngzPROlrZkjz9xGy9G9aoc6JCQJj3BHaj5Cp23Eq4khNnVhoBRl5ZhxtJ0+BBotCZmXqxukEEIIIcQQuHr5lZzI+S1nvXHMbXmLopq/c/mkTL604FY+SJ6Gt6mOw0+tps1do3aogyZJeARTFIW207sB8CbNRxMdR0XnIT0rm+sAiJu+hKgEdTYUCCGEEEIMtZuvvY29839Ku6JlUcNf+HLD+8xOn0HRotupGTOedncNR566iY6mOrVDHRRJwiPY0fpmZnh9dd/j/JsyO5Pw+W7firgc0iOEEEKIkabglk/z5pRvA7D042f5pqYBXepUPrPkE9TFJ9Fy9H2O/PCOYX2qpiThEcxx9PxJmYmTDJw8d4bDjXVo0KA79p7vumzKFEIIIcQI9MCax9iZ9EUAlh3cwJMpSbTrJvPw4k9wNiaBcx+9ztGffwqlo13lSAdGkvAItutoPYtiXYDvpEz/KviSsTraAidlykq4EEIIIUYejUbDAw9YeDW2EIDFe4r56fQ5nEiZxqOL7qBNG80Zx/9x/DePDstTNSUJj2AHql1MjKpDQUPs+KWBJPxWbwt0tBOtm0xM+ix1gxRCCCGECJGY6CgKP/tL3tTkEqPpYEHFo/xsbjZ7Umfy2IJb8Go0eF7bwqk/fVPtUIMmSXgEaz65G4D2sZloY8bw787OKFc0+fqEJ8y+Co1Go1Z4QgghhBAhlxgbw82fKWOX10CippmFbxSxacm17Bw/l+/OzgXg9P99G/fOzSpHGhxJwiPU6aYWJrbuA2DMJAOKolDZuRI+4+QBQOrBhRBCCDE6pI4bS879f+bDjtkka+pZ9I9HeXrZjZRNXcbmmVcAcOK3j9JQ8ZzKkfafJOERqutJmWMnZ3Gw0U1ty1liNFpij+wCpB5cCCGEEKPH9PETmJn/Ikc6JjOBExhe/wpfW3wdm2ZdRfnkpaAoHN18L017d6odar9IEh6hHDVdNmVOWE7VaV9T+tXRUXib3Ghi4kmYuULNEIUQQgghwmrBTD0JN73A6Q4d07wHuK7i+zw6/wq+OyeXHePnorS3Uv2jOzl3sFLtUC9JkvAIta+mmhnRvtrv2PHLcdT6kvDclnoAEjJy0ETHqhafEEIIIYQaLlu0gvqr/0ijN4GMVgd37P01+foVFM+/mYqUmXibGzny9M20HNundqgXJUl4hGo8sRuAtoTpRMWnUNWZhC+u99WFJ0g9uBBCCCFGqbwrcjmwpJQWJZrZjTY+fXQH101fwOcX3cGHSZPpOHOaw0+uoq22Wu1Q+yRJeARqaG4j+exeAOInrkBRFByd5SgTjvve1SVKPbgQQgghRrG7jIVUzrDgVTTMPf0H/t9ZFwsn6Vm7+BPUjEmn3V3N4SdX0X7mtNqh9kqS8Aj0zrEGFnVuykya4tuUWdd6jvEdrWg7O6MkzL5SzRCFEEIIIVR3392f57W0xwCYd/gZvhXbwfj0mTy05C5qE5JpPb6PI0/fQse5MypH2pMk4RHowpMy/Zsyb+8457s2eR7R49JVi08IIbryeDyYTCbMZvOAx7Db7ZjNZkpLSykpKaGkpGQIIxRCjFQajYYH/+M7vJLwaQBm7/1vnhk/Hk3KNB5afBeNsWNoPlhBzU/uxtvWonK03UkSHoHeqz6BPvoYALETVgQ2ZV571vdxivQHF0JEArPZTEFBAaWlpdjtdjwez4DGKS8vx2q1YrFYKCoqori4GIPBgNFoHNqAhRAjklar4d7P/Jx/Rt1KlMbLrKovsFm/EHfKVNYuvpOW6Dia3rdzzHo/irdD7XADJAmPQPXH3yFK46UtdjzRYyYFNmXOqT0E+E7KFEIItVksFsrKyiguLkan0w1oDI/Hw9q1a9myZUu363l5ebjdbkpLS4cgUiHESBcfE80nHv4j/+Zq4jRtzHzjs/xi4VUcSJnO5xfeToc2ioaKMk78dh2KoqgdLiBJeMRpbusg4cx7gG8V3L8pM9rbQdLxDwBZCRdCjBzbtm1Dr9f3msQXFhZitVrDH5QQYlhKSoznhk//iXe9SxirOcusVx/Cumwl/06bRfH8m1HQUPeKlVPPfU3tUAFJwiPOeyfOMD/GVw/edVPm4rO1aNpb0I5JIXbSXJWjFEKIoVFWVkZqamqv9+n1ehwOx4DLXIQQo8/EFB1LP/UXDnTMIkVTx+xXivjRijy2T5jHd+bmAnD6L9/Dbf+ZypFKEh5xdh2tZ1FnEh7X9aTMtkYAEjOvQKOVaRNCjAyVlZXo9fpe7/Nfd7lc4QxJCDHMZUyewqRPvEhNx0QmcozFr32Zby+9kbIpy/hRxjUAnCxbr3KUkoRHnN01p5kb42ssHzv+/KbM7KZTACRkXqFabEIES1EUvC1NI+oWylpCl8uFyWQiJSUFjUbT681kMoXs9dXg8XguWU8uSbgQIlhLMucSZfwTpzuSme79iCve/i5fmH8lv5hxGb+flqV2eABEqx2A6K726DvEatppj04mOmkmVbUvAzCz1tc3XJJwMZworWfZVzRW7TCG1PzSRjRxY4Z8XIfDQW5uLtnZ2axf71uhsVqtuFwurFZroGQjLy9vyF87UvmTc7fbrW4gQohh6aql2Wxv+gPxb+Wjb63i1vd+wak591ECjG1qAtQ91l6S8AjS3uElyrMHkkGbtgwAx+kaUlrPklB3FIAE/WVqhiiECAG73Y7RaMRisVBcXBy4np+fT2ZmZuD/+8tkMmG32wcUi8lk6haDEEIMZ6uuNPJ8YykL33uI2U07eOBIOrVTr+WbZ88hSbgI+PBUE3OjnADopp7flJnb+DEAsVMWEDVGp2KEQgRHE5vI/NJGtcMYUprYxCEf02QykZ+f3yP51ev16PV6qqqqghpvpHQU8W/I7GvjphBC9MfdxkJ+f+YUVx7+MnPdW/lS4nhOj59BcL9Zh54k4RHEcdTD4s7j6rtuylzZ6jtqNUF/uWqxCTEQGo0mJKUbI0lpaSkulwubzdbnY6QcQwghBue+u9bxq/85zY2nv8+8mp9inrqeNSrHJBszI8jumjrmxxwCup+UufzMCQASZ0s9uBAjTVlZGQaDoc8OIS6Xq8/7RgK9Xt/nxkv/m4+R/PULIcJDo9Hw4L3fYOeYtQDMObBB5YgkCY8ox2veJ1HbQoc2gRjdHKpqa9AqXqac8pWoyKZMIUaeysrKPjdb+k+LLCwsDGdIYWUwGPrsA+5Pzg0GQxgjEkKMVFqthvsf+jGvxdyNVqP+qZlSjhIhvF4Fr/sdGAekLAGNFsfpGvRNbqJbz6KJG0Pc1EVqhymEGGIejyew+fJCVquV/Pz8oJPQ4bQx078htTdOp3NUdYMRQoRebHQU+Q//lq0//Bh4VdVYJAmPEAfdZ8nkAABJXTZlGht9pSgJGTloomS6hBhp+loJttvtuFwuduzYEfSYkbgx0+Px9Lrqv2bNGsxmc69lN+Xl5X0m6EIIMVBj42O54d7fwvoZqsYh5SgRoutJmQkTVwQ2ZV7XXO+7JqUoQoxIFoulR9LscDgwm81UVVVd8iCbSOHxeC66gbSgoACj0RgosfHT6XRs2bIFs9nc7Xp5eTl6vT6o1oxCCNFf43XJaocgK+GRwlHjYU2srzNK7PjlOI74kvBFDb7+4LIpU4iRKS8vD6vVislkIjMzk9raWoCg2xKqoaSkhIqKClwuV+BmNBrR6XQUFhZ2S6CNRiOVlZVkZ2f3GCc/Px+dTofZbCYzMzPwycDFOsYIIcRwp1FCeQbzKNTQ0EBycjL19fUkJSX1+3n3W5/n2+c+iVcTg/7zday2/4p/HXmPt17fhAaFuT86TrRuUggjF0IIIYQYHQaarw0lKUeJAIqi0Hr6HQA6kheANgbH6RoWnzmBBoWY9FmSgAshhBBCjCCShEeA4w0tTO/4CICkKec3Za444zspMyFTDukRQgghhBhJJAmPAI6j9SzsPCkzscumzKvP+mpDZVOmEEIIIcTIIkl4BNh1tJ5Fsb7OKIGTMhWFeZ5qQJJwIYQQQoiRRpLwCHCg2smEKA8KWmLTl1BVW8O05noSms+giY4lfuYKtUMUQgghhBBDSJLwCNBycjcAbWNno4lOwHG6hqUNxwGIn7kCbUycitEJIYQQQoihJkm4ymqbWhnfsg+AsZMNXTZldp6UKaUoQgghhBAjjiThKtt9rJ6FnSdljp1sCGzKvKzpNCBJuBBCCCHESCRJuMocNfUsCpyU6duUGdfRxsx630mZkoQLIYQQQow8koSr7MOaaqZHnwQgdvwyqmprmN94kihvB1FJE4hJn6lyhEIIIYQQYqhJEq6yxuO7AGhNmIk2LhnH6RqWdW7KTMi8Ao1Go2Z4QgghhBAiBCQJV1FjSztJ5/YCkDBxRWBT5vLOTZmJUooihBBCCDEiSRKuoneONQROykyacn5T5opGX3lKwmxJwoUQQgghRiJJwlW062g9i2K6n5Q5vqWR9LN1oNESPytb5QiFEEIIIUQoSBLeTyUlJdjt9iEd872a4+ijjwEQN345VbU1LOmsB4+btpiohHFD+npCCCGEECIySBLeDy6XC7PZPOTjNp54B61GoTV2ItrECT02ZQohhBBCiJFJkvB+sNvt6PX6IR2zw6sQ3/AeANHjlwc2ZS4740vCZVOmEEIIIcTIJUn4JZSXl7NmzZohH9dV28TsKF89uG5qFlWna4jyell85mMAEjIvH/LXFEIIIYQQkSFa7QCGksfjwWw2o9PpsFgsfT7Obrdjs9nIzMzE4/EAUFxc3Ot4ADqdbshj3XPiDPNjDgMQP34Jjtoa5jSdIq6jDW1CErGT5w/5awohhBBCiMgwIpJws9mMy+UiJycHu91OXl5en48tLy9n69atlJWVBa7Z7XaMRiM2m63bY7dt20ZRUVFIYn7vWB350UcAiE1fQpXrFZY0+PqDJ+gvR6OVDymEEEIIIUaqEZHpWSwWysrKKC4uvuiqtcfjYe3atWzZsqXb9by8PNxuN6WlpYFrDofjosn8YB0/+iEJ2lbaNfFEJem7b8qU/uBCCCGEECPaiEjC+2vbtm3o9fpeE/XCwkKsVmvgz5WVlQPajNnS0tLtv30+7vQeANrHzeXQ2fpumzKlM0potLS08M1vfvOScyPUIfMTuWRuIpfMTWST+Ylc/c3XQmlUJeFlZWWkpqb2ep9er8fhcODxeCgpKcHpdFJSUhK4ud1urFYrJSUlF32N/kzq2dZ2kpr3AzBm4hKqTteQ1HaOWWfdgGzKDJWWlha+9a1vyS/DCCXzE7lkbiKXzE1kk/mJXJKEh9nFVrf9110uF8XFxVgsFoqLiwM3j8eDyWTqdQNnsPZ+3Mi86EMAJE1aiqO2JlAPHjtxDtFj0wY89qZNmwYd30DH6e9zLvW4i93f133BXlfDUMYS7FjBPD5c8xNJcwPyszOQeMJF5mZgMYWD/F4beEzhID87wccTVsoIYzAYlKKiol7vA5Ti4uJe76uqqlIApaysrM/n2my2S75+dXW1AijV1dV9PuaXbx9WdpTMUFzPxChnD9kU40ublXVfu1J5/wGUms33X/I1LmbBggWDev5gxunvcy71uIvd39d9/bleX1+vAEp9fX0/ohx6QzU3AxkrmMeHa34uvDZS5mck/OzI3AT/HPm9Fv6x5PfapcnPTt/X+pOvhdqI6I4yFPx14m63u9t1u90e6KRisVhwOBwXXQ1XFAWA48ePd7seFxdHXFwcALsPuFjRfpwzHQpJMTOoPLKdW08dpbEVEictpaGhYcBfR0dHx6CeP5hx+vucSz3uYvf3dV9/rl/433AbqrkZyFjBPD5c83PhtZEyPyPhZ0fmJvjnyO+18I8lv9cuTX52zmtra6OmpibwZ3+e5s/bVKFa+h8iA10JdzqdCqBYrdZBvb5/HLnJTW5yk5vc5CY3uUX2zel0DirvGwxZCe/kP5inr42b/TVr1iycTicxMTFoNJrA9a4r4UIIIYQQInxaWlq6bcJUFIW2tjZmzZqlWkyShA8xrVY7oNaG5eXlgVIYp9NJYWEhBoNhqMMTA2AymcjKykKv1/d4k9ZXy0sRXiUlJYF58Hg8Q7KBWgyOw+HAbDZjNBrR6/W4XC6cTme3VrAicpSUlGAwGEJ6PoboP/+5JR6Ph4qKCkwmk8xNhPB3yXM6nbhcLqxW64DyPhhlSbj/H4Le+BPggX4jB6O0tJS8vLxur11QUMCWLVskwYsAlZWV3Q5y8tPpdBw8eFCFiERXRqMRi8USeNOamZmJXq8nPz9f5ciEy+XCbDYH5kMS8Mjkn6cLT40W6jCZTBQUFASSbv+p3nV1dZITqMxsNrN+/frAPJSXl5OZmYnT6RxQ/jiqWhQaDIZA2cmF/Mm5GqvPZWVlPSbPaDRSWVkZ9lhET3l5eSiK0u1WVVUlb5IiQGlpKXq9vtvPrcVikQQ8QpSVlaEoCk6nE4vFonY4og92u12VBSjRO7fbHWgIAecXByUnUJ/dbu/WwCM/Px+dTjfgBYZRlYQbjcY+V8KdTqeqH/WYzeZuf66qqiI7O1ulaERXhYWFPa7Z7XZJ9CKAv9yhK5kXIfqvvLycNWvWqB2G6KKsrKxbUudwOAAkJ1CZx+PB5XL1yCNTU1P7XOC9lFFVjrJmzRrMZjMulyvwztLj8WA2m9m2bRtbtmzp87l2ux2bzUZmZmbgmz1UdacWi4WsrKxAO0T/R0+yynp+fnQ63UVX0kI5Pxd+OmI2m2VVD/XnxuPx4PF40Ol0gXIhp9OJyWQa9at6as9N1/ErKytJTU2loqKi28e4o1mkzI9/TJmT8yJlbrqyWq1YLJZRP09qz41Op6Ourq7HdZfLRVZW1oDGHHFJuMfj6dHr20+n07Fly5ZAjaLL5SInJ4cXXniBMWPG9LmCVl5eztatW7t9PORPlIeihs5gMFBVVUVWVhaZmZkUFRWN+tpJ/5ulnJwc7Hb7RT+lCPX8dGW328nJyRnSMYebSJkb/2pE1979Ho+HjIwMDh48OCr/wYqUufHrWptvMBjIysrC6XQOydjDUaTNz7Zt2ygqKhqSsYa7SJsb8JXb2Ww2jEbjqN5sHolz4+cviRzwz5FqzRGHkMViUfLz8xWDwRDo+5iXl6fk5+f3egKmzWZTiouLFavVqlgsFmXKlCl99havq6tTdDqdUldX1+M+g8Ew6L7i/tcoKipSqqqqlKKiokD8wudivd/DMT9dybx0p+bc2Gw2BXqecpuXl9fneQCjSST93PjpdLo+TyUebdSen6qqqm79kfV6fb9OhR4N1J6bC1+vqKhIfqd1irS50el0g+ozPiJWwoN9h5iXl9ftndTWrVv7fOy2bdv6bENXWFiI1WoNvAOy2+39XsHu+i6toKCAsrKyQHG/yWQiNzdXyh76IRzz4+dwOPr8lEX0FOq58beLvLD0RKfTBWooRe/C+XPTlV6vx2azSd3+JYRjfiorK2UVfADC/bPjzws0Gg1paWmjekX8UsI9N2vXrmXHjh2DKn8cEUl4KJWVlfV5gI9er8fhcATqUi9M7vvD4XD0+EtjMBgoKyvrsVlT9BTq+elq69ato77WOBihnhvpoz9w4fi5SUlJYceOHTJPAxDq+SkpKaG2tjbQ7xh8HTmsVmu38i7RUzh+dkwmU6BstuvYNptN5uYiwpkP+FsVDvb326jqjjIQlZWVfSZe/ut9dVzpj77qVrOzsyXh64dQz09XDodj0CeqjibhmBuDwdBjDI/HI4nfJYRjbnr7HTaYDUyjSajnp7i4GIvFQnFxceDm8XgwmUyS5F1CqOfG4XBQWlraYwy32z0q97kEI1z5QHl5OUajsdu/M72dJdIfkoRfgv9d08UMZlL9G0QvHKO0tJT169cPeNzRItTzc+E48kuw/8IxNxaLpdtHiv6fJfnZubhwzM2Fb4TKy8sHt4FpFAnn7zURnFDPjcFgoLi4uNsqrd1ux+PxSHnqJYTj58Zut1NRUUFqaioOhwOHw0F5efmAx5NylEHwT/Zg64TLysrYsGEDaWlpANTW1sqx9UNgqOan63ijvTPKUBmqufH/Q2U2m0lLS8PpdGKz2eTN0iAM1dxYLJZAuUNtbS0ej4eqqqrBhjfqDfXvNX9rXPDNmZSjDNxQzc369eu7lQpVVFRQVVUln44PwlDMjcfjoaCgAI/H021+gAF3XpEkPAJcqueliAySQESmwdb2idCRZC7y+X9+Rntb3Eii0+nkZycC9dUnfDCkHGUQ/E3gpU44Msn8RC6Zm8glcxPZZH4il8xN5IrUuZEkXAghhBBCiDCTJPwS/Bsne+OvLZI6LfXI/EQumZvIJXMT2WR+IpfMTeQajnMjSfglGAyGwMcYF/JPtmygVI/MT+SSuYlcMjeRTeYncsncRK7hODeShF+C0Wjs852V0+mUDWEqk/mJXDI3kUvmJrLJ/EQumZvINRznRpLwS1izZg1ut7vXiS0vL8dkMqkQlfCT+YlcMjeRS+Ymssn8RC6Zm8g1HOdGknB8u2b76h2p0+nYsmVLjyPk/QdP5OfnhyPEUU3mJ3LJ3EQumZvIJvMTuWRuItdImxuNoiiK2kGooaSkhIqKClwuFw6HA/D1S9XpdBQWFvaYLLvdjs1mIzMzM1BzJH08Q0fmJ3LJ3EQumZvIJvMTuWRuItdInptRm4QLIYQQQgihFilHEUIIIYQQIswkCRdCCCGEECLMJAkXQgghhBAizCQJF0IIIYQQIswkCRdCCCGEECLMJAkXQgghhBAizCQJF0IIIYQQIswkCRdCCCGEECLMJAkXQggRMiUlJWg0msAtKytL7ZCGjNls7va1GY1GtUMSQgwjkoQLIYQIqby8PJxOJ06nk7KyMrXDGTLr168PfF2Reiy2ECJySRIuhBj1jEZjtxVN/22gHA4HKSkpPcYzmUxDGPXwodPp0Ov1gdvFDKe56Pp1ZWZmDno8IcToIkm4EGLUs9lsKIpCVVVVtyTR4XAMaLwNGzbg8XgAKCoqoq6uDkVRsFqtQxHuiCZzIYQYLSQJF0KITm63m/z8fHQ6HQAulyvoMUpKSrrVBpvN5sB4ov9kLoQQI50k4UII0clms2E0GgMrsMEmfi6Xi9ra2sDKq79cQQRP5kIIMdJJEi6EEJ3sdjt5eXmBZM3pdAb1fIvFgsViwWazAb4NiWJgZC6EECOdJOFCCHGBgay+lpeXU1BQAPgSSEBa1g0BmQshxEglSbgQQnB+5RUIdLrob+Ln8Xiw2Wzk5eV120Aoq68DI3MhhBgNJAkXQgjO1yBD8KuvGzZswGKxAOdXXqUGeeBkLoQQo4Ek4UIIga8Fnn+1tGvC5t/Yd7HnZWZmBrpuSA3y4MlcCCFGA0nChRACX0s8v66J36VWYDds2EBRUVHgz5WVlYDUIA+GzIUQYjSQJFwIMep1rUH2609/6pKSEtavXx/4s8PhCKzWyurrwMhcCCFGC0nChRCjXtcaZL9L1SL7+1AbDIbANalBHjyZCyHEaBGtdgBCCKE2h8MR2Mznl52djcPh6LM/tcVi6XH0+cVqkI1GI263O9Cxw2AwkJqaik6n61brbDKZyM/PD/q5brebwsJCiouLe7x2QUEBLper2/P1ej0WiwW9Xo/L5cJsNvf6mLKysl6//lAJx1wIIUQkkCRcCDHqda1B9vO3xvPXFXdVXl7ea53xxWqQ/UlhSkoKHo+HqqqqHo9xOBzk5uZitVoDj+/vc10uF0ajEavVSlVVVbfj2f2JtP/5O3bs6Ha/P9n2eDykpKQA9Poa4RCOuRBCiEgg5ShCiFGtayeOri5WAmGz2XqsVrtcrn7VIKempvZ5n8FgYMuWLdjtdkwmU58x9Uav12O1WnG5XIGDavp67a4JeFf+62qVb4R7LrryeDyUlpZiNpsxm82UlpZeshuLEEIMhqyECyFGNbvd3utqqT/xuzAR8ydpvY0Dg69B9ieUpaWlPUosLsWfcPpjGW7Umgv/GIWFhYHuKg6Hgw0bNuDxeIKeByGE6A9ZCRdCjGo2m43s7Owe13trjedwOEhLS+s1sQtFDXIwR7VfaDiu4oZ7LhwOBwUFBZhMJiwWS7eNnQaDAYvFgtlspqCgoNvpm0IIMRQkCRdCjGput7vX8oyu1/yJ34YNG3rd+AjnV18HW4PsT54HsqLujyEvL6/PkpNIFu65sFqtlJWVXbLMp6ysDKvVOizf2AghIpck4UKIUcvhcPS68urXtRb5wj7UXQ2kBrkvGzZsAGDLli1BPc/lcmEymTAYDGHvaDIUwj0XfZWy9MW/Ki6EEENFasKFEKNWXzXIfv72fTabDb1e361c4cJxYHD14C6XC6vVSmlpKWVlZT02G3ZVUlLS7c8VFRWB1n4Xe55fXxs31RTOuXC5XH2WsvRFp9ORmZmJw+Ho87WFECIYkoQLIUatC1sBXsifpNntdg4ePNjn4/xjXGwl90Imk6lbmUVaWho5OTk9emT3prcyDLvdjtlsxmazXXIj4cVWyjUazSVfPxTCORfl5eXdjrfvr6KiIjZs2CBJuBBiSEgSLoQYdRwOR+BwGovFgsVi6bUW2d+fesuWLX3WWDscDsrLy4G+W//1Zqg7buTl5bFjxw4yMjKw2+19HmwTadSYC6fT2ev9/j7t/l7sFybbFx6sJIQQgyE14UKIUcPhcKDRaMjKygqULZSWlpKSktJrX26DwUBeXl6vfahTUlLQaDTk5uai0+nQ6XSUl5ej0WhISUlRpZuGTqejqKgocAJmJIvEubDb7YEke+vWrYP7AoUQ4hJkJVwIMWoYDAYURen34/Py8vo8PKaurm4oQxsyOTk5QOT3Co/EuSgqKgok3729ERBCiKEkSbgQQowg/mPf1Tr1cjjIysrqdYOlTqejqqqqz+c5HA6ysrJCHZ4QYpSQchQhhBhB/LXmspLbtzVr1gyoJt9qtbJmzZoQRCSEGI0kCRdCiDDyr1QP5DTMSz3Hf7JjcXFxr6Ub/tfua3Oh//pgTuocDnQ6HUajMbCJsz/Ky8sxGo3D8hAkIURkknIUIYQIg4KCgm4HyRiNxsDR6JcqHbnwuVlZWT2Ocvd4POj1+l67evT2/K6v7d/I2TX59r/GcDz4pz/y8/MDbSL7c7x9f1o/CiFEMDRKMDtjhBBCiCCUlJRQUVERscl8aWkpTqeT9evX91jl9ng8bNiwgczMzEv2FfcfsnSxXudCCNGVrIQLIYQYtfwtHTds2NCjTEen02EymWSTqxAiJCQJF0IIEVL+nt3ga014sQ4katDr9f06qfRCZrOZkpKSwJ8vVdYihBBdSTmKEEKIkPF4PIENoX4jZWV5JH9tQojQkyRcCCGEEEKIMJMWhUIIIYQQQoSZJOFCCCGEEEKEmSThQgghhBBChJkk4UIIIYQQQoSZJOFCCCGEEEKEmSThQgghhBBChJkk4UIIIYQQQoSZJOFCCCGEEEKEmSThQgghhBBChNn/B6sN0fPCxjN4AAAAAElFTkSuQmCC", "text/plain": [ - "1179.4983176910887" + "
" ] }, - "execution_count": 16, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# plt.plot(masses_dense, yields_mono, label=\"Mono\")\n", + "# plt.plot(masses_dense, yields_sigma_1, label=\"Sigma = 1.0\")\n", + "# plt.plot(masses_dense, yields_sigma_05, label=\"Sigma = 0.5\")\n", + "# plt.plot(masses_dense, yields_sigma_01, label=\"Sigma = 0.1\")\n", + "plt.plot(masses_dense, yields_mono_smooth, label=\"Monochromatic\", color='C0')\n", + "plt.plot(masses_dense, yields_sigma_01_smooth, label=r\"$\\sigma = 0.1$\", color='C1')\n", + "plt.plot(masses_dense, yields_sigma_05_smooth, label=r\"$\\sigma = 0.5$\", color='C2')\n", + "plt.plot(masses_dense, yields_sigma_1_smooth, label=r\"$\\sigma = 1.0$\", color='C3')\n", + "\n", + "\n", + "\n", + "plt.xscale(\"log\")\n", + "plt.yscale(\"log\")\n", + "plt.ylim(1e4,1e6)\n", + "plt.xlim(1e-8, 1e-2)\n", + "plt.xlabel(r\"$M_{\\rm{PBH}} ~[M_{\\odot}]$\")\n", + "plt.ylabel(r\"PBH detections ($N_{\\rm{PBH}}$)\")\n", + "\n", + "plt.legend(fontsize=18)\n", + "# plt.savefig(\"figures/pbh_estimated_yield.pdf\")" + ] + }, + { + "cell_type": "code", + "execution_count": 410, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.8852242236373525" + ] + }, + "execution_count": 410, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "yield_ffp(0.73)*0.667" + "max(yields_sigma_05)/max(yields_sigma_01)" ] }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 409, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "4680.304666146399" + "0.7373330746756069" ] }, - "execution_count": 17, + "execution_count": 409, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "yield_pbh(1e-2)" + "max(yields_sigma_1)/max(yields_sigma_01)" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [], + "source": [ + "s.add_ffp(1)\n", + "m = 3e-5\n", + "s.ffp.differential_rate_mw_mass(m, finite=True, v_disp=None, tcad=0.25, tobs= 1825*24, epsabs = 1.49e-08, epsrel = 1.49e-08, efficiency=s.efficiency, monochromatic=True)" ] }, { "cell_type": "code", - "execution_count": 45, + "execution_count": 252, + "metadata": {}, + "outputs": [], + "source": [ + "m_yield_arr = np.logspace(np.log10(3e-8), np.log10(3e-2), 7)" + ] + }, + { + "cell_type": "code", + "execution_count": 19, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ - "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_41562/3471871628.py:10: IntegrationWarning: The algorithm does not converge. Roundoff error is detected\n", - " in the extrapolation table. It is assumed that the requested tolerance\n", - " cannot be achieved, and that the returned result (if full_output = 1) is \n", - " the best which can be obtained.\n", - " return quad(gamma_wrapper, 0.25, 1825*24, epsabs=0, epsrel=1e-1)[0] * s.n_sources * s.obs_time\n", - "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_41562/3471871628.py:10: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", - " return quad(gamma_wrapper, 0.25, 1825*24, epsabs=0, epsrel=1e-1)[0] * s.n_sources * s.obs_time\n", - "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_41562/3471871628.py:15: IntegrationWarning: The algorithm does not converge. Roundoff error is detected\n", - " in the extrapolation table. It is assumed that the requested tolerance\n", - " cannot be achieved, and that the returned result (if full_output = 1) is \n", - " the best which can be obtained.\n", - " return quad(gamma_wrapper, 0.25, 1825*24, epsabs=0, epsrel=1e-1)[0] * s.n_sources * s.obs_time\n", - "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_41562/3471871628.py:15: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", - " return quad(gamma_wrapper, 0.25, 1825*24, epsabs=0, epsrel=1e-1)[0] * s.n_sources * s.obs_time\n" + "100%|██████████| 7/7 [00:16<00:00, 2.34s/it]\n" + ] + } + ], + "source": [ + "m_yield_arr = np.logspace(np.log10(3e-8), np.log10(3e-2), 7)\n", + "def monochromatic_ffp_yield(m):\n", + " # return s.ffp.differential_rate_mw_mass(m, finite=True, v_disp=None, tcad=0.25, tobs= 1825*24, epsabs = 1.49e-08, epsrel = 1.49e-08, efficiency=s.efficiency, monochromatic=True)*s.n_sources*s.obs_time\n", + " return s.ffp.differential_rate_mw_mass(m, finite=True, v_disp=None, tcad=0.25, tobs= 6*72*24, epsabs = 1.49e-08, epsrel = 1.49e-08, efficiency=s.efficiency, monochromatic=True) *2.4e8 * 6*72*24\n", + " # return s.ffp.differential_rate_mw_mass(m, finite=True, v_disp=None, tcad=0.25, tobs= 6*72*24, epsabs = 1.49e-08, epsrel = 1.49e-08, efficiency=None, monochromatic=True) *2.4e8 * 6*72*24\n", + " # return s.ffp.differential_rate_mw_mass(m, finite=False, v_disp=None, tcad=0.25, tobs= 6*72*24, epsabs = 1.49e-08, epsrel = 1.49e-08, efficiency=s.efficiency, monochromatic=True) *2.4e8 * 6*72*24\n", + "\n", + "with Pool() as pool:\n", + " #! This isn't consistent with calculation using time?\n", + " ffp_yield_mono = np.array(list(tqdm(pool.imap(monochromatic_ffp_yield, m_yield_arr), total=len(m_yield_arr))))\n", + " # ffp_yield_mono_point = np.array(list(tqdm(pool.imap(monochromatic_ffp_yield, m_yield_arr), total=len(m_yield_arr))))\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "#Johnson is using 2e8 for n_sources and 6*72*24 hours for observation duration. " + ] + }, + { + "cell_type": "code", + "execution_count": 494, + "metadata": {}, + "outputs": [], + "source": [ + "def monochromatic_ffp_yield_t(m):\n", + " s.add_ffp(0.73, m_min = m*10**(-0.25), m_max = m * 10**(0.25))\n", + " with Pool() as pool:\n", + " func_ffp = functools.partial(differential_rate_mw_duration, s=s, finite=True)\n", + " ffp_t_mono = list(tqdm(pool.imap(func_ffp, t_es_ffps), total=len(t_es_ffps)))\n", + " ffp_t_mono = np.array(ffp_t_mono)\n", + " return ffp_t_mono * t_es_ffps * 2.4e8 * 6*72*24 " + ] + }, + { + "cell_type": "code", + "execution_count": 495, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 50/50 [01:20<00:00, 1.60s/it]\n", + "100%|██████████| 50/50 [01:29<00:00, 1.80s/it]\n", + "100%|██████████| 50/50 [01:36<00:00, 1.93s/it]\n", + "100%|██████████| 50/50 [01:38<00:00, 1.97s/it]\n", + "100%|██████████| 50/50 [01:12<00:00, 1.45s/it]\n", + "100%|██████████| 50/50 [01:07<00:00, 1.36s/it]\n", + "100%|██████████| 50/50 [01:25<00:00, 1.72s/it]\n" + ] + } + ], + "source": [ + "yield_mono_t = []\n", + "for m in m_yield_arr:\n", + " yield_mono_t.append(monochromatic_ffp_yield_t(m))\n", + "yield_mono_t = np.array(yield_mono_t)" + ] + }, + { + "cell_type": "code", + "execution_count": 530, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[2.20620453e+00 3.37112575e+01 1.35644108e+02 3.97892762e+02\n", + " 1.23753746e+03 3.95605101e+03 1.25340761e+04]\n" + ] + } + ], + "source": [ + "yield_mono_t_total = []\n", + "for row in yield_mono_t:\n", + " efficiencies = [s.efficiency(t) for t in t_es_ffps]\n", + " yield_mono_t_total.append(sum(row*efficiencies))\n", + "yield_mono_t_total = np.array(yield_mono_t_total)\n", + "print(yield_mono_t_total)" + ] + }, + { + "cell_type": "code", + "execution_count": 134, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0.004635280710044882\n", + "0.024892931263957835\n", + "0.133682955936045\n", + "0.7179199797041957\n", + "3.855458563506397\n", + "20.70503838190914\n", + "111.192639561517\n" + ] + } + ], + "source": [ + "# print(quad(lambda mint: 1/(mint*np.log(10)) * 0.24*(mint/95)**(-0.73), m * 10**(-0.25), m * 10**(0.25), epsabs=0, epsrel=1e-1)[0])\n", + "m_yield_arr_earth = np.logspace(-2,4,7)\n", + "N_power_arr = []\n", + "for m in m_yield_arr_earth:\n", + " # N_power = quad(lambda logm: 0.24*(10**(logm)/95)**(-0.73), np.log10(m)-0.25, np.log10(m)+0.25, epsabs=0, epsrel=1e-1)[0]\n", + " N_power = quad(lambda logm: 0.24*(10**(logm)/95)**(-0.73), np.log10(m)-0.5, np.log10(m)+0.5, epsabs=0, epsrel=1e-1)[0]\n", + "\n", + " N_power_arr.append(N_power)\n", + " print(1/N_power)\n", + "N_power_arr = np.array(N_power_arr)" + ] + }, + { + "cell_type": "code", + "execution_count": 75, + "metadata": {}, + "outputs": [], + "source": [ + "johnson_ops = np.array([1.22, 17.9, 88.3, 349, 1250, 4100, 13300])\n", + "johnson_logn = np.array([0.349, 5.13, 25.2, 83.0, 298, 976, 3170])\n", + "johnson_logn_new = np.array([0.306, 4.49, 22.1, 87.1, 313, 1025, 3329])\n", + "\n", + "johnson_fid = np.array([0.698, 10.3, 50.5, 103, 68.9, 42.0, 25.4])\n", + "johnson_fid_new = np.array([0.611, 8.97, 44.2, 108, 72.3, 44.1, 26.7])\n" + ] + }, + { + "cell_type": "code", + "execution_count": 136, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "1281.481262752058\n", + "550.3659105938857\n" ] } ], "source": [ - "masses_dense = np.logspace(-10, 1, 100)\n", - "# yields_sigma_01 = np.array([yield_pbh_lognorm(m, 0.1) for m in masses_dense])\n", - "yields_mono = np.array([yield_pbh(m) for m in masses_dense])\n", - "yields_sigma_15 = np.array([yield_pbh_lognorm(m, 1.5) for m in masses_dense])\n" + "# fudge_fac = 0.925\n", + "fudge_fac = 0.925/2\n", + "N_events_power = N_power_arr*johnson_ops*fudge_fac\n", + "print(sum(N_events_power))\n", + "print(yield_ffp(0.73)*0.667 * fudge_fac)" + ] + }, + { + "cell_type": "code", + "execution_count": 76, + "metadata": {}, + "outputs": [], + "source": [ + "N_power_new_arr= []\n", + "for m in m_yield_arr_earth:\n", + " N_power_new_arr.append(0.24*(m/95)**(-0.73))\n", + "N_power_new_arr = np.array(N_power_new_arr)\n", + "\n", + "N_power_our_fid_arr= []\n", + "for m in m_yield_arr_earth:\n", + " N_power_our_fid_arr.append(10*(m/1)**(-1))\n", + "N_power_our_fid_arr = np.array(N_power_our_fid_arr)" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([1.e+03, 1.e+02, 1.e+01, 1.e+00, 1.e-01, 1.e-02, 1.e-03])" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "N_power_our_fid_arr" ] }, { "cell_type": "code", - "execution_count": 46, + "execution_count": 7, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", "text/plain": [ - "
" + "618.2566543609894" ] }, + "execution_count": 7, "metadata": {}, - "output_type": "display_data" + "output_type": "execute_result" } ], "source": [ - "plt.plot(masses_dense, yields_mono)\n", - "plt.plot(masses_dense, yields_sigma_15)\n", - "plt.xscale(\"log\")" + "np.sum(N_power_new_arr*johnson_logn_new)" ] }, { "cell_type": "code", - "execution_count": 84, + "execution_count": 238, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", "text/plain": [ - "
" + "1107.9789999999998" ] }, + "execution_count": 238, "metadata": {}, - "output_type": "display_data" + "output_type": "execute_result" } ], "source": [ - "plt.plot(masses_dense, yields_sigma_01)\n", - "plt.plot(masses_dense, yields_sigma_15)\n", - "plt.xscale(\"log\")" + "np.sum(N_power_our_fid_arr*johnson_logn_new)" ] }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 243, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "1.9045355833263322" + ] + }, + "execution_count": 243, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "yield_ffp(0.73)*0.66/np.sum(N_power_new_arr*johnson_logn_new)" + ] + }, + { + "cell_type": "code", + "execution_count": 120, "metadata": {}, "outputs": [], "source": [ - "s.add_ffp(1)" + "df = pd.DataFrame({\n", + " 'N*johnson_logn_new': N_power_new_arr*johnson_logn_new,\n", + " 'johnson_fid_new': johnson_fid_new,\n", + " 'N*johnson_logn_old': N_power_new_arr*johnson_logn,\n", + " 'N*johnson_ops/4': N_power_new_arr*johnson_ops/4,\n", + " 'My Mono': np.array([2.20620453e+00, 3.37112575e+01, 1.35644108e+02, 3.97892762e+02, 1.23753746e+03, 3.95605101e+03, 1.25340761e+04]),\n", + " 'Johnson Mono': johnson_ops\n", + "})\n" ] }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 121, "metadata": {}, "outputs": [ { - "data": { - "text/plain": [ - "8.987277348788778e-12" - ] - }, - "execution_count": 18, - "metadata": {}, - "output_type": "execute_result" + "name": "stdout", + "output_type": "stream", + "text": [ + "N*johnson_logn_new 618.256654\n", + "johnson_fid_new 304.881000\n", + "N*johnson_logn_old 658.167367\n", + "N*johnson_ops/4 617.399176\n", + "My Mono 18297.118902\n", + "Johnson Mono 19106.420000\n", + "dtype: float64\n" + ] } ], "source": [ - "m = 3e-5\n", - "s.ffp.differential_rate_mw_mass(m, finite=True, v_disp=None, tcad=0.25, tobs= 1825*24, epsabs = 1.49e-08, epsrel = 1.49e-08, efficiency=s.efficiency, monochromatic=True)" + "print(df.sum(axis=0))" ] }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 250, "metadata": {}, "outputs": [ { - "name": "stderr", + "name": "stdout", "output_type": "stream", "text": [ - "100%|██████████| 7/7 [00:16<00:00, 2.34s/it]\n" + " N*johnson_logn_new johnson_fid_new N*johnson_logn_old N*johnson_ops/4 \\\n", + "0 58.839761 0.611 67.108093 58.647474 \n", + "1 160.766595 8.970 183.682101 160.229513 \n", + "2 147.347152 44.200 168.015758 147.180470 \n", + "3 108.135335 108.000 103.045152 108.321561 \n", + "4 72.359209 72.300 68.891515 72.243619 \n", + "5 44.123844 44.100 42.014509 44.123844 \n", + "6 26.684758 26.700 25.410238 26.652695 \n", + "\n", + " My Mono Johnson Mono \n", + "0 2.206205 1.22 \n", + "1 33.711258 17.90 \n", + "2 135.644108 88.30 \n", + "3 397.892762 349.00 \n", + "4 1237.537460 1250.00 \n", + "5 3956.051010 4100.00 \n", + "6 12534.076100 13300.00 \n" ] } ], "source": [ - "m_yield_arr = np.logspace(np.log10(3e-8), np.log10(3e-2), 7)\n", - "def monochromatic_ffp_yield(m):\n", - " # return s.ffp.differential_rate_mw_mass(m, finite=True, v_disp=None, tcad=0.25, tobs= 1825*24, epsabs = 1.49e-08, epsrel = 1.49e-08, efficiency=s.efficiency, monochromatic=True)*s.n_sources*s.obs_time\n", - " return s.ffp.differential_rate_mw_mass(m, finite=True, v_disp=None, tcad=0.25, tobs= 6*72*24, epsabs = 1.49e-08, epsrel = 1.49e-08, efficiency=s.efficiency, monochromatic=True) *2.4e8 * 6*72*24\n", - " # return s.ffp.differential_rate_mw_mass(m, finite=True, v_disp=None, tcad=0.25, tobs= 6*72*24, epsabs = 1.49e-08, epsrel = 1.49e-08, efficiency=None, monochromatic=True) *2.4e8 * 6*72*24\n", - " # return s.ffp.differential_rate_mw_mass(m, finite=False, v_disp=None, tcad=0.25, tobs= 6*72*24, epsabs = 1.49e-08, epsrel = 1.49e-08, efficiency=s.efficiency, monochromatic=True) *2.4e8 * 6*72*24\n", - "\n", - "with Pool() as pool:\n", - " #! This isn't consistent with calculation using time?\n", - " ffp_yield_mono = np.array(list(tqdm(pool.imap(monochromatic_ffp_yield, m_yield_arr), total=len(m_yield_arr))))\n", - " # ffp_yield_mono_point = np.array(list(tqdm(pool.imap(monochromatic_ffp_yield, m_yield_arr), total=len(m_yield_arr))))\n" + "print(df)" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 78, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "0.3492112416142914" + ] + }, + "execution_count": 78, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ - "#Johnson is using 2e8 for n_sources and 6*72*24 hours for observation duration. " + "yield_ffp(1.0)/np.sum(N_power_our_fid_arr*johnson_logn_new)" ] }, { "cell_type": "code", - "execution_count": 494, + "execution_count": 191, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "316.64084819172757" + ] + }, + "execution_count": 191, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ - "def monochromatic_ffp_yield_t(m):\n", - " s.add_ffp(0.73, m_min = m*10**(-0.25), m_max = m * 10**(0.25))\n", - " with Pool() as pool:\n", - " func_ffp = functools.partial(differential_rate_mw_duration, s=s, finite=True)\n", - " ffp_t_mono = list(tqdm(pool.imap(func_ffp, t_es_ffps), total=len(t_es_ffps)))\n", - " ffp_t_mono = np.array(ffp_t_mono)\n", - " return ffp_t_mono * t_es_ffps * 2.4e8 * 6*72*24 " + "yield_ffp(0.73)*0.667 " ] }, { "cell_type": "code", - "execution_count": 495, + "execution_count": 192, "metadata": {}, "outputs": [ { - "name": "stderr", - "output_type": "stream", - "text": [ - "100%|██████████| 50/50 [01:20<00:00, 1.60s/it]\n", - "100%|██████████| 50/50 [01:29<00:00, 1.80s/it]\n", - "100%|██████████| 50/50 [01:36<00:00, 1.93s/it]\n", - "100%|██████████| 50/50 [01:38<00:00, 1.97s/it]\n", - "100%|██████████| 50/50 [01:12<00:00, 1.45s/it]\n", - "100%|██████████| 50/50 [01:07<00:00, 1.36s/it]\n", - "100%|██████████| 50/50 [01:25<00:00, 1.72s/it]\n" - ] + "data": { + "text/plain": [ + "386.9187222725609" + ] + }, + "execution_count": 192, + "metadata": {}, + "output_type": "execute_result" } ], "source": [ - "yield_mono_t = []\n", - "for m in m_yield_arr:\n", - " yield_mono_t.append(monochromatic_ffp_yield_t(m))\n", - "yield_mono_t = np.array(yield_mono_t)" + "yield_ffp(1)" ] }, { "cell_type": "code", - "execution_count": 530, + "execution_count": 232, "metadata": {}, "outputs": [ { - "name": "stdout", - "output_type": "stream", - "text": [ - "[2.20620453e+00 3.37112575e+01 1.35644108e+02 3.97892762e+02\n", - " 1.23753746e+03 3.95605101e+03 1.25340761e+04]\n" - ] + "data": { + 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" } ], "source": [ - "yield_mono_t_total = []\n", - "for row in yield_mono_t:\n", - " efficiencies = [s.efficiency(t) for t in t_es_ffps]\n", - " yield_mono_t_total.append(sum(row*efficiencies))\n", - "yield_mono_t_total = np.array(yield_mono_t_total)\n", - "print(yield_mono_t_total)" + "p_arr_test = np.linspace(0.66, 1.33, 20)\n", + "# p_arr = np.linspace(0.7, 1.33, 16)\n", + "our_yield = np.array([yield_ffp(p) for p in p_arr_test])\n", + "# plt.plot(p_arr_test, np.array([yield_ffp(p) for p in p_arr_test])*0.925/2*0.667, label=\"FFP\")\n", + "plt.plot(p_arr_test, our_yield*10, label=r'$\\mathcal{N} = 100$', ls='-.', color='k')\n", + "plt.plot(p_arr_test, our_yield, label=r'$\\mathcal{N} = 10$')\n", + "plt.plot(p_arr_test, our_yield*0.1, label=r'$\\mathcal{N} = 1$', ls='--', color='k')\n", + "\n", + "\n", + "# plt.plot(p_arr_test, our_yield/(0.35), color='C1', label='Scaled Result')\n", + "\n", + "# plt.fill_between(p_arr_test, our_yield/(1.61), our_yield, alpha=0.5, label=\"Our Result\")\n", + "# plt.fill_between(p_arr_test, our_yield*0.1, our_yield*10, alpha=0.2, color='C0')\n", + "\n", + "\n", + "# plt.plot(1, np.sum(N_power_our_fid_arr*johnson_logn_new), 'o', label=r\"Our Fiducial $\\times$ Johnson LogUniform\", color='C1')\n", + "# plt.plot(0.73, np.sum(N_power_new_arr*johnson_logn_new), 'o', label=\"Johnson Fiducial Power Law\", color='C1')\n", + "\n", + "\n", + "# plt.yscale(\"log\")\n", + "plt.xlim(0.66, 1.33)\n", + "plt.ylim(15, 4e4)\n", + "\n", + "plt.ylabel(r\"FFP detections ($N_{\\rm{FFP}}$)\")\n", + "plt.xlabel(r\"FFP power law index ($p$)\")\n", + "plt.yscale(\"log\")\n", + "plt.legend(loc='upper center', fontsize=18)\n", + "# plt.savefig('figures/ffp_estimated_yield_comparison.pdf')\n", + "# plt.savefig('figures/ffp_estimated_yield_comparison_new.pdf')\n", + "\n", + "plt.show()" ] }, { "cell_type": "code", - "execution_count": 532, + "execution_count": 463, "metadata": {}, "outputs": [ { - "name": "stdout", - "output_type": "stream", - "text": [ - "0.010101204879168043\n", - "0.05424668201763576\n", - "0.2913219309105681\n", - "1.5644913987895308\n", - "8.401816262977512\n", - "45.12042480479617\n", - "242.31102785908587\n" - ] + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" } ], "source": [ - "# print(quad(lambda mint: 1/(mint*np.log(10)) * 0.24*(mint/95)**(-0.73), m * 10**(-0.25), m * 10**(0.25), epsabs=0, epsrel=1e-1)[0])\n", - "m_yield_arr_earth = np.logspace(-2,4,7)\n", - "N_power_arr = []\n", - "for m in m_yield_arr_earth:\n", - " N_power = quad(lambda logm: 0.24*(10**(logm)/95)**(-0.73), np.log10(m)-0.25, np.log10(m)+0.25, epsabs=0, epsrel=1e-1)[0]\n", - " N_power_arr.append(N_power)\n", - " print(1/N_power)\n", - "N_power_arr = np.array(N_power_arr)" + "p_arr_test = np.linspace(0.7, 1.33, 16)\n", + "# p_arr = np.linspace(0.7, 1.33, 16)\n", + "our_yield = np.array([yield_ffp(p) for p in p_arr_test])\n", + "# plt.plot(p_arr_test, np.array([yield_ffp(p) for p in p_arr_test])*0.925/2*0.667, label=\"FFP\")\n", + "plt.plot(p_arr_test, our_yield, color='C0', label='Our Result')\n", + "plt.plot(p_arr_test, our_yield/(2.23), color='C1', label='Scaled Result')\n", + "\n", + "# plt.fill_between(p_arr_test, our_yield/(1.61), our_yield, alpha=0.5, label=\"Our Result\")\n", + "\n", + "# plt.plot(1, np.sum(N_power_our_fid_arr*johnson_logn_new), 'o', label=r\"Our Fiducial $\\times$ Johnson LogUniform\", color='C1')\n", + "# plt.plot(0.73, np.sum(N_power_new_arr*johnson_logn_new), 'o', label=\"Johnson Fiducial Power Law\", color='C1')\n", + "\n", + "\n", + "# plt.yscale(\"log\")\n", + "plt.xlim(0.7, 1.33)\n", + "plt.ylim(1e2, 1e4)\n", + "\n", + "plt.ylabel(\"FFP Yield\")\n", + "plt.xlabel(\"p\")\n", + "plt.yscale(\"log\")\n", + "plt.legend(loc='upper left')\n", + "# plt.savefig('figures/ffp_estimated_yield_comparison.pdf')\n", + "plt.show()" ] }, { "cell_type": "code", - "execution_count": 533, + "execution_count": 238, "metadata": {}, "outputs": [], "source": [ - "johnson_ops = np.array([1.22, 17.9, 88.3, 349, 1250, 4100, 13300])\n", - "johnson_fid = np.array([0.698, 10.3, 50.5, 103, 68.9, 42.0, 25.4])" + "rho_arr = np.logspace(-2, 0.7, 1000)\n", + "A_t = 1.34\n", + "my_ut_arr = np.array([ut_func_new(rho, A_t) for rho in rho_arr])\n", + "j_ut_arr = np.array([max(1, 2*rho) for rho in rho_arr])\n", + "j_ut_alt_arr = np.array([max(3, 2*rho) for rho in rho_arr])\n" ] }, { "cell_type": "code", - "execution_count": 538, + "execution_count": 265, "metadata": {}, "outputs": [ { - "name": "stdout", - "output_type": "stream", - "text": [ - "588.0511729614383\n", - "545.5179719321285\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_53778/3495266499.py:5: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", - " return quad(gamma_wrapper, 0.25, 24*72*6, epsabs=0, epsrel=1e-1)[0] * 2.4e8 * 24*72*6\n" - ] + "data": { + "text/plain": [ + "array([1.60821524])" + ] + }, + "execution_count": 265, + "metadata": {}, + "output_type": "execute_result" } ], "source": [ - "# fudge_fac = 0.925\n", - "fudge_fac = 0.925/2\n", - "N_events_power = N_power_arr*johnson_ops*fudge_fac\n", - "print(sum(N_events_power))\n", - "print(yield_ffp(0.73)*0.667 * fudge_fac)" + "max(my_ut_arr)" + ] + }, + { + "cell_type": "code", + "execution_count": 287, + "metadata": {}, + "outputs": [], + "source": [ + "import matplotlib.patches as mpatches\n" ] }, { "cell_type": "code", - "execution_count": 539, + "execution_count": 388, "metadata": {}, "outputs": [ { - "name": "stdout", - "output_type": "stream", - "text": [ - "[80.02818461 14.81679812 2.77592599 1.00167483 0.99868689 1.00062909\n", - " 0.99943944]\n" - ] + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" } ], "source": [ - "print(N_events_power/johnson_fid)" + "plt.plot(rho_arr, j_ut_arr, label=r'Johnson et. al, $\\rm{max}(1, 2\\rho)$', color='C3', linewidth=2.5)\n", + "plt.plot(rho_arr, my_ut_arr, label=r'This work, $A(u_T) = 1.34$', color='C0', linewidth=2.5)\n", + "plt.axhline(1., color='k', linestyle='--', label=r'point-source, $A_T = 1.34$')\n", + "\n", + "# plt.annotate('point source regime', xy=(0.015, 0.4), xytext=(0.04, 0.4),\n", + "# arrowprops=dict(facecolor='black', shrink=0.01, width=0.2),\n", + "# horizontalalignment='left', verticalalignment='center', fontsize=18)\n", + "\n", + "# plt.annotate('finite source regime', xy=(0.6, 0.3), xytext=(0.2, 0.3),\n", + "# arrowprops=dict(facecolor='black', shrink=0.01, width=0.2),\n", + "# horizontalalignment='right', verticalalignment='center', fontsize=18)\n", + "\n", + "\n", + "plt.annotate('point-source regime', xy=(0.012, 0.25), xytext=(0.02, 0.25),\n", + " arrowprops=dict(facecolor='black', arrowstyle = '->'),\n", + " horizontalalignment='left', verticalalignment='center', fontsize=14)\n", + "\n", + "plt.annotate('finite-source regime', xy=(8.0, 0.25), xytext=(4.7, 0.25),\n", + " arrowprops=dict(facecolor='black', arrowstyle = '->'),\n", + " horizontalalignment='right', verticalalignment='center', fontsize=14)\n", + "\n", + "\n", + "plt.axvline()\n", + "\n", + "# plt.loglog(rho_arr, j_ut_alt_arr, label='Johnson ut alt')\n", + "plt.legend()\n", + "plt.xscale('log')\n", + "plt.yscale('log')\n", + "plt.xlabel(r'$\\rho$')\n", + "plt.ylabel(r'$u_{\\rm T}$')\n", + "plt.xlim(1e-2, 0.95e1)\n", + "plt.ylim(2e-1, 6e0)\n", + "# plt.savefig('figures/ut_comparison.pdf')\n", + "plt.show()\n" ] }, { "cell_type": "code", - "execution_count": 540, + "execution_count": 253, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", "text/plain": [ "
" ] @@ -1379,7 +2242,7 @@ ], "source": [ "plt.plot(m_yield_arr/3e-6, johnson_ops, label=\"Johnson Mono\")\n", - "plt.plot(m_yield_arr/3e-6, yield_mono_t_total, label=\"LCP Mono\")\n", + "# plt.plot(m_yield_arr/3e-6, yield_mono_t_total, label=\"LCP Mono\")\n", "\n", "# plt.plot(m_yield_arr/3e-6, 5e4*m_yield_arr**(0.5), label=r\"$M^{1/2}$\")\n", "\n", @@ -1387,7 +2250,10 @@ "\n", "plt.xscale(\"log\")\n", "plt.yscale(\"log\")\n", - "plt.legend()\n", + "plt.xlabel(r\"$M/M_\\oplus$\")\n", + "plt.ylabel(r\"$N_{\\rm events}/\\rm{Dex}$\")\n", + "plt.xlim(min(m_yield_arr/3e-6), max(m_yield_arr/3e-6))\n", + "# plt.legend()\n", "plt.show()" ] }, @@ -1492,29 +2358,6 @@ "plt.show()\n" ] }, - { - "cell_type": "code", - "execution_count": 458, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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F2GznDKC07J3kvbvKpdxiZSeZkAwAZSmrneSRkZFNd1rXGxsbSynHWMt+PhaLuWZsLuMBlM6NMrmS2mb3Sp6YntH9la4cAIDykVVIjkQiybA4PDys4eFhjY6OKhAIJLtA2DLZcbUDpxvG5jI+nUQikfI1Nze35XgAmbF7JJfLwb19OxvU3FAry5LenmI3GQCcMDc3tyGbZSqrcotYLCa/36/h4eGUlmixWExdXV26ePFiRrvM9ph4PF4WY7MZ39HRkfL44x//uD7xiU9k9D0AbK7cdpI9Ho98u3fo1Xdua3zynh7Zu9PpKQFA1RkcHNSv//qv5/TenLpb9Pb2pjzn8/nU3d2t06dP5zSJSjIxMaHp6enk18DAgNNTAirC6m175bGTLFGXDABOGxgYSMllExMTGb83pz7J6ep2u7q61N/fn1HJgl2asdkhObeNzWZ8S0uLWlpaMvpMAJkrt51kSTq6Upcci9MrGQCc4PV65fXm9nMj653k7Q62jY2N5TQRANjM0pKlm3fLq0+ytLqTTBs4ACg/WYXkTDpb2AfbfD7fpofc7LpeO1i7YWwu4wGUxtTMvBaXLEnSnjI5uCet9krmQhEAKD9ZhWS/379td4djx44lx67veGGzP8Pv97tmbC7jAZSGXWphNNWroS7rPwBzTDIkT96TZVkOzwYAkI2sftqcOnVK0Wg07Wtrd5Cl5Rv4NgvU4+Pj6u7uTj52w9hcxgMojdV65PLZRZakh9qWQ/LtuQVN3rvv8GwAANnIKiT39vbKMAyFQqENrwWDQfX19SXLMU6ePKl4PJ42dIZCoZQrrN0wNpfxAEpjtbNF+dQjS1Jjfa0OtTZKosMFAJSbrP/cMhgMbrg8ZHR0VLFYTENDQ8nnDMPQ2bNnFQgEUt4fCoXk8/lS2si5YWwu4wGUxo0ybP9mow0cAJSnrFvAdXd3a2RkRKdPn1Z7e7vi8bh8Pp/Gx8c3jLV3ngOBgDo7O5PBOhwOu3JsLuMBFJ9dbrGnubx2kqXluuS/uhTn8B4AlBmPxWmSgkgkEmptbdX09DR9koEC+6U/+ro++aW39c+6H9E//8hjTk8nK//8z7+tT/z5t/QPnu3Q7558n9PTAYCqlk1eK59j4gCqVrnWJEtS5x56JQNAOSIkA3C9m3fL77Y9GzXJAFCeCMkAXK+sD+6tXE09MT2j+wtLDs8GAJApQjIA17MP7u0tw53kfTsbtKO+VpYlvT3FbjIAlAtCMgBXm19cUvzevKTy3En2eDxcTw0AZYiQDMDVbt1dLrWo8UjtO8ovJEup11MDAMoDIRmAq9mdLfY0N6i2xuPwbHJzlMN7AFB2CMkAXM2uRy7HzhY2+/Depfhdh2cCAMgUIRmAqyUP7TWXZ6mFRBs4AChHhGQArpZs/7arnHeSVw/ucckpAJQHQjIAVyvn9m+2h1Z2khOzC5q8d9/h2QAAMkFIBuBq5XyRiK2pvlYHWxolUXIBAOWCkAzA1W6V8ZXUa9EGDgDKCyEZgKvZO8nlfHBPkjq5UAQAygohGYCrVUILOEk62r7cBo6dZAAoD4RkAK62GpLLeyfZLre4NEmvZAAoB4RkAK41M7+oO3OLksp/J9lHuQUAlBVCMgDXurmyi9xQW6OWxjqHZ5Mf+0KRCXNG9xeWHJ4NAGA7hGQArpU8tLezQR6Px+HZ5Gf/Lq+a6mu0ZEmXzRmnpwMA2AYhGYBrVUo9siR5PB75kof3qEsGALcjJANwrdWLRMq7Htlm1yWP0+ECAFyPkAzAtSql/ZvtKBeKAEDZICQDcK2ba2qSK4F9eO9SnHILAHA7QjIA17K7W+xtroydZN9uLhQBgHJBSAbgWpV0cE9a3UmOxe/JsiyHZwMA2AohGYBrVdrBPbsmOTG7oPi9eYdnAwDYCiEZgGtV2sG9pvpaHWxplETJBQC4HSEZgCtZlqWbd+2d5Moot5DWXk/N4T0AcDNCMgBXuj23oLmV65srpbuFtKYumZ1kAHA1QjIAV7LrkZsbarWjoc7h2RROsldynJAMAG5GSAbgSpVWj2yzyy0usZMMAK5GSAbgSpXW/s3ma1/ulTw+SU0yALgZIRmAK1Va+zebvZM8Yc7o/krNNQDAfQjJAFzJvm1vT4XtJB/Y5VVjXY2WLOmyOeP0dAAAmyAkA3ClSt1J9ng8q23gKLkAANciJANwpZsVWpMsrdYl0wYOANyLkAzAlSp1J1miDRwAlANCMgBXqtQWcBJt4ACgHGTVof/EiRNqb29Xf3+//H6/TNPU2NiYRkZGNDAwIL/fnzI+EokoHA6rs7NTpmlKks6cOZP2s90wNpfxAIqjEq+ktnXuXim34GpqAHCtrEKyaZoKhUIaHR1NPmcYhoLB4IaAHAqFdO7cOQWDweRzkUhEPT09CofDrhuby3gAxbG0ZCVrkvc2V+BO8srV1OOT92RZljwej8MzAgCs57Esy8p0cCAQUE9Pj6LRqCTJ5/Opt7d3wzjTNHX06FFdunRJhmGkvNbV1aX+/n719fW5Zmwu49dLJBJqbW3V9PS0WlpaNh0HYHu37s5p38f/XJI0+69/QA11lVUZdu/+gnb+0/8pSbr1z/8Xte+ovN1yAHCjbPJa1j95uru7debMGZ05cyZtQJak8+fPy+fzbQibknTq1CmNjIy4amwu4wEUz43by6UWbU31FReQJWlHQ50eaFneIR+/RV0yALhRUX76BINBtbe3p33N5/MpGo0m633dMDaX8QCKp1KvpF7LLrmgLhkA3KkoIXlsbEw+ny/ta/bzsVjMNWNzGQ+geFYP7VVePbLNt5teyQDgZlmH5FgsptHR0eRXIBDYsMNqmmbasoX1n+OWsbmMB1A8795eObRXwTvJR9vplQwAbpZVd4tYLKZoNJpygC0ajaqrq0sXL17cNmRKSo6Jx+NlMTbb8YlEIuWx1+uV11u5u2FAMbw9tRwcj7TtcHgmxUOvZAAovrm5Oc3NzSUfr89pW8lqJzkYDG44rOf3++X3+3X69OlsPqpidXR0qLW1Nfk1ODjo9JSAsvPWyu7qQ21NDs+keOyQHJukJhkAimVwcDAll3V0dGT83qx2kjfT09Oj/v7+jMbapRmbHZJz29hsx09MTKS0FGEXGcjeW/EZSaslCZXI175ck3zZnNH84pLqayuviwcAOG1gYEAvvvhi8nEikcg4KBckJNvhMRqNbrhUpNq0tLTQJxnI0yV7J7mCQ/KBXV411tVodmFJb0/N6OE9zU5PCQAqTj5lrxlvXfT39ysQCKR9bX3Nrs/n2/SQ29oxbhmby3gAxTE9M6+pmXlJ0kMVXJNcU+PRo3t3SpLeuH7b4dkAANbLOCSfP39+0xBpP3/s2DFJy3XKm/UUtsfaO85uGJvLeADF8dbKob3dO+q1q7Egf9jlWk8/sEuS9Oo7mR8kAQCURsYhua+vT8FgMO1r4XA45ba6np6eTQP1+Pi4uru7k4/dMDaX8QCKoxrqkW1PHVguzXrtXXaSAcBtMg7Jx48fVzQa3fC8aZoKhUIaGhpKPnfy5EnF4/G0oTMUCqUc8nPD2FzGAyiOaqhHtrGTDADulXFI7u3t1cjIyIag/MILL6ivry+lNZxhGDp79uyGGuZQKCSfz+e6sbmMB1AcdrlFdYTk5Z3kb928q7mFRYdnAwBYK6uCv5GREQ0PD+vcuXMyTVPxeFwDAwNpA2Rvb68Mw1AgEFBnZ2ey3jccDrtybC7jARTeao/kyg/Jh1sb1dpYp+nZBX3zxh2992Cr01MCAKzwWJZlOT2JSpBIJNTa2qrp6WlawAF5eN9v/YW+/k5Cf/Lzz+qjj+93ejpF972//Tf660txffonntFPdR12ejoAUNGyyWt0rwfgGpZlJcstquHgniQ9dYC6ZABwI0IyANeYmplXYnZBkvRgBV9JvZZdl0yHCwBwF0IyANew65H37/JqR0Nl90i20eECANyJkAzANZLt36pkF1la7ZV8ZXpWU/fuOzwbAICNkAzANarpIhGb0VSvDqNREiUXAOAmhGQArmHvJD9YRSFZkp5e2U1+9R1CMgC4BSEZgGu8XWWdLWxPrRzee/Vd6pIBwC0IyQBcoxprkqXVw3uvcXgPAFyDkAzAFSzLqsqaZGm13OK1d2+L+50AwB0IyQBc4ead+7o3vyiPRzpSZTvJj+3bqboaj6ZnFzRhzjg9HQCACMkAXMK+ae9gS6O8dbUOz6a0Gupq9J69OyVxeA8A3IKQDMAVqrUe2Za8VITDewDgCoRkAK5QrfXINrvDxWvsJAOAKxCSAbhCtfZItj19gJ1kAHATQjIAV6jWHsm2p1d2kr95447mF5ccng0AgJAMwBVWa5KrMyQ/2NakXd46zS9a+taNO05PBwCqHiEZgOOWliy9PVXdNckej0dPJUsuqEsGAKcRkgE47t3bc5pbWFKNRzpsNDo9Hcc8ZXe44OY9AHAcIRmA4+weyR1Gk+prq/e3peTNe3S4AADHVe9PIwCuUe31yDZ6JQOAexCSATjurXh1d7aw2R0u3p6aUWJ23uHZAEB1IyQDcNyllYtEHmyvztv2bO07GnSwZbkm+zUO7wGAowjJABxX7T2S13qaw3sA4AqEZACOoyZ51VMrh/de5fAeADiKkAzAUYtLli7bPZJ3E5LtneTXOLwHAI4iJANw1LXErBaWLNXXepL1uNXMPrz36ju3ZVmWw7MBgOpFSAbgqEuTy6UWR4wm1dZ4HJ6N8x7ft1O1NR5NzczrWmLW6ekAQNUiJANwlH2RyEMc2pMkNdbX6pE9zZKoSwYAJxGSATjKPrT3IIf2kp4+QIcLAHAaIRmAo95e6ZF8tMp7JK/11EpdMr2SAcA5hGQAjkq2f6PcIoleyQDgPEIyAEe9xUUiGzy90iv5GzfuaGFxyeHZAEB1IiQDcMz84pImzOVyCy4SWXW0fYeaG2o1t7CkN2/ddXo6AFCVCMkAHHPFnNWSJXnranRgl9fp6bhGTY1HT+63Sy6oSwYAJxCSAThmtbNFk2rokZzCPrz3KjfvAYAjCMkAHEM98uaS11NzeA8AHEFIBuAYeiRvzj689ypt4ADAEYRkAI55O85O8mbsneTY5D3dmVtweDYAUH0IyQAcs9ojmYtE1tu706v9K4cZX2c3GQBKrq4QHzI8PCy/36/u7u4Nr0UiEYXDYXV2dso0TUnSmTNn0n6OG8bmMh5Abt6asm/bYyc5nacP7NL123N69d2EnnuwzenpAEBVyTskm6apQCCgYDC44bVQKKRz586lvBaJRNTT06NwOOy6sbmMB5CbuYVFXUvMSqJH8maeeqBFkTdv0QYOAByQd7nF6Oho2udN09Tp06d19uzZlOe7u7sVj8dT3ueGsbmMB5C7y1MzsixpR32t9u5scHo6rvT0ATpcAIBT8grJkUgkbYmFJJ0/f14+n0+GYWx47dSpUxoZGXHV2FzGA8jd2npkj4ceyek8/cBqhwvLshyeDQBUl7xCcjQald/vT/taMBhUe3t72td8Pp+i0Wiy3tcNY3MZDyB31CNv74n9O+XxSLfu3tf123NOTwcAqkrOIXl0dHTLw2xjY2Py+XxpX7Ofj8Virhmby3gAuaNH8vZ2NNTp4d3NkuiXDAClllNIjsVim+642kzTTFu2sP5z3DI2l/HpJBKJlK+5OXZ/gHTokZyZ5M17XE8NAFmbm5vbkM0ylVNIDoVC6u3tzeWtkpQMovF4vCzGZjO+o6NDra2tya/BwcGMPh+oNvRIzsxT9s17dLgAgKwNDg6m5LKOjo6M35t1C7h8A3Klm5iYUEtLS/Kx1+t1cDaAe1GTnJnkTjIdLgAgawMDA3rxxReTjxOJRMZBOauQbJqm4vH4pnW72XyOpG1LNtwyNpvxLS0tKSEZwEYz84vJg2gPEZK3ZHe4eP36bS0uWaqtoRMIAGTK6/XmvGGZVbnF6Oio+vr6cvpGAGB7a6XUoqWxTm1N9Q7Pxt06dzerqb5GM/NLik3edXo6AFA1Mg7JW7V7S8fn8216yM2u67V3pN0wNpfxAHJjh+SH2nbQI3kbtTUePbF/ueSCDhcAUDoZl1vEYjGdO3duw4UadhnC4OCgzp07p/b2do2MjMjv92/aU9gOonbodsPYXMYDyM2luF2PzKG9TDx9oEUXr0zr1XcS+rGnH3B6OgBQFTIOyb29vWkP7Jmmqba2Ng0MDKS83tPTo6GhobSfNT4+nnJTnxvG5jIeQG7emlrpkUw9ckaeSh7eYycZAEolrxv3tnLy5EnF4/G05QuhUEj9/f2uGpvLeAC5eYseyVlZvZ6aDhcAUCp5h2Q7UK7vH2wYhs6ePatAIJDyfCgUks/nS9l1dsPYXMYDyM3ammRs7+kDyzvJ37l1VzPziw7PBgCqQ9Z9km3RaFSDg4PJkBwIBBQOh9XT05PsgNHb2yvDMBQIBNTZ2Zms9w2Hwxs+zw1jcxkPIHtcJJKd/bu82tPcoFt37+uN67fVddhwekoAUPE8lmVZTk+iEiQSCbW2tmp6epo+ycAWbs8uqPWf/U9J0tS/+IhaaQGXkQ/9zhf1hfFJ/b+n3qefPZ75jVEAgFXZ5LWi1SQDQDr2ob22pnoCchaesuuSuXkPAEqCkAygpDi0lxu7Lvk1Du8BQEkQkgGUFPXIuXlyJSS/cf2OwzMBgOpASAZQUm9NLV8k8hA7yVmxb927Oj2r6Zl5h2cDAJWPkAygpGj/lhujqV4HWxolSW9c51IRACg2QjKAkqImOXdPHtgpSXqdkAwARUdIBlBSqzXJhORs2SUX1CUDQPERkgGUjDkzr+nZBUnSQ20c3MtWMiS/y04yABQbIRlAydi7yHubG9TszfnCz6q12uGCkAwAxUZIBlAy1CPnx95JvkKHCwAoOkIygJKhHjk/dLgAgNIhJAMoGXok58/ucMHhPQAoLkIygJJ5a9LukcyhvVw9vlJyQRs4ACguQjKAknlraqUmeTc7ybl6ciUkf4OQDABFRUgGUBKWZSVDMrft5c4+vPc6beAAoKgIyQBKYvLefd2ZW5QkPUi5Rc7sNnB0uACA4iIkAyiJt+LLh/YeaPGqsb7W4dmUr7UdLr5xg8N7AFAshGQAJXGJHskF88T+5Q4XlFwAQPEQkgGUhH2RCPXI+XuCm/cAoOgIyQBKgotECsc+vEdIBoDiISQDKIm3kxeJcGgvX0/S4QIAio6QDKAkqEkuHLsm+cr0rBKzdLgAgGIgJAMoOsuydHllJ/mIwU5yvtp2NOiBFq8krqcGgGIhJAMouunZBd2bX+6RfJiQXBBPUpcMAEVFSAZQdFenZyVJbU31aqJHckE8Tl0yABQVIRlA0V2dXi61ONTa6PBMKseTtIEDgKIiJAMoOnsn2b4pDvmj3AIAiouQDKDoriVWQjI7yQVjd7iYMOlwAQDFQEgGUHT2TjLlFoWztsPFN+hwAQAFR0gGUHT2TvIhyi0Kyr5573VKLgCg4AjJAIqOneTieIIOFwBQNIRkAEVHSC4Ou8PFN9hJBoCCIyQDKKr5xSVdvzMnie4WhWYf3qPcAgAKj5AMoKiu356TZUl1NR7t2+l1ejoVxS63oMMFABQeIRlAUdmlFg+0eFVT43F4NpWlfUeDDuyiwwUAFAMhGUBRXbU7W7Q2OTyTymTXJVNyAQCFRUgGUFTJQ3vUIxfFE9y8BwBFQUgGUFTJK6npbFEU9uG9N2gDBwAFVZftG0zT1OjoqCYnJ5OP4/G4BgYG5Pf7N4yPRCIKh8Pq7OyUaZqSpDNnzqT9bDeMzWU8gM1dm56RRGeLYrHLLd6gJhkACiqrkGyapgYHBzUwMCDDMJLPh0IhdXV1KRwOq7u7O+X5c+fOKRgMJp+LRCLq6elROBxO+Ww3jM1lPICtXUsst3+jR3Jx2OUWl80Z3Z5d0K7GrPc+AABpZFVucf78eY2Ojioej6c839vbK8MwFAgEks+ZpqnTp0/r7NmzKWO7u7sVj8c1OjrqqrG5jAewvasrO8mE5OJY2+GCumQAKJysQrLP55OkZAnCVs6fPy+fz5ey42w7deqURkZGXDU2l/EAtrfa3YKQXCyrJReEZAAolKxCcnd3t6amptLWHpumqWPHjiUfB4NBtbe3p/0cn8+naDSaDNtuGJvLeABbS8zO687coiRqkovp8f20gQOAQitId4vh4WFJSim3GBsbS+48r2c/H4vFXDM2l/EAtmZ3tmhprNNOL7WyxfLkSocLLhQBgMLJOySbpqmRkREFg8GUgGmaZtqyhbXswOmGsbmMB7C1awl6JJeCfXjvddrAAUDB5LS1Y7eBGx8fVzweVzgc3nQHNh07iK4/AOjWsdmMTyQSKY+9Xq+8Xm9G3wOoNMmLRKhHLiq7JpkOFwCQam5uTnNzc8nH63PaVnLaSTYMQ2fOnNHIyIj6+/vV39+vUCiUy0dVnI6ODrW2tia/BgcHnZ4S4BhCcmms7XDxjRvsJgOAbXBwMCWXdXR0ZPzevLcburu7dezYMbW1tWlkZER9fX3bvsc+/LbZITm3jc1m/MTEhFpaWpKP2UVGNeO2vdJ5Yv8uvXt7Tq+/e1vPHmlzejoA4AoDAwN68cUXk48TiUTGQbkgB/cMw1Bvb6/6+/urvvtDS0tLyhchGdVstSa5yeGZVL4nuHkPADbwer0bslmmChKSJen48eOSlm+nk5a7QWx2yM2u67XrmN0wNpfxALa2upPM/ywW2xP7ljtc0CsZAAojq5Dc1tamEydOpH3NPthmh0y/37/prvLaMW4Zm8t4AFtjJ7l07MN7dLgAgMLIOCSbprllKcX4+Lik1Z3Wnp6eTXdlx8fH1d3dnXzshrG5jAewucUlS+/eXj5RzMG94rPbwNkdLgAA+ck4JBuGob6+PgWDwbSvRyKRZG2yJJ08eVLxeDxt6AyFQurv708+dsPYXMYD2Nz123NaXLJUW+PR/l2UWxTb7uaG5DrT4QIA8pdVuUUgEEh7OG90dFTRaFQvvfRS8jnDMHT27NmUW/ik5bDp8/mSYdotY3MZD2Bzdj3ygV1e1dZ4HJ5NdXhyP4f3AKBQsmoB5/P5NDIykgyRpmkqHo+rvb1dU1NTG26r6+3tlWEYCgQC6uzsTIbrcDi84bPdMDaX8QDSu5qYkcRte6X0+P6d+tx3blGXDAAF4LEsy3J6EpUgkUiotbVV09PTWbUXASrVb//NJf2jP35NP/LUAf3Xnz3u9HSqwie/+JZ+6b++qo8+tk9/8rHnnJ4OALhONnmtYC3gAGAtu7PFQXaSSybZ4YI2cACQN0IygKK4xpXUJWd3uHh7akZ35uhwAQD5ICQDKIqrhOSSS+lwweE9AMgLIRlAURCSnWHfvEfJBQDkh5AMoCiuJgjJTnjigN0GjpAMAPkgJAMouDtzC0qs3PrGwb3SSvZKpg0cAOSFkAyg4OzOFju9tWpprHd4NtXFPrxHuQUA5IeQDKDgkvXI7CKXnN0Gjg4XAJAfQjKAgls9tNfk8Eyqz+7mBu3b2SCJDhcAkA9CMoCCo7OFs5J1yZRcAEDOCMkACs7ubHGQkOyIJ7h5DwDyRkgGUHDvTHMltZOeoMMFAOSNkAyg4OiR7CzKLQAgf4RkAAV3dXpGEt0tnPLEgeVb996iwwUA5IyQDKCglpYsvZOYk8ROslP2NHt1YJdXkvTK1WmHZwMA5YmQDKCgbtyZ08KSpRqPkkENpfe3O3dLkiJv3nJ4JgBQngjJAArKrkfev8urulp+i3FKz6N7JUnhb990eCYAUJ74CQagoK7R2cIV7JD8lctTMmfmHZ4NAJQfQjKAguIiEXfoMJr0nr3NWrKkz3+HkgsAyBYhGUBBJS8SYSfZcT3v2SdJ+nNKLgAga4RkAAXFTrJ79DyyR5IUISQDQNYIyQAK6loyJDc5PBN8sHOP6mo8Gp+8p9jkXaenAwBlhZAMoKCuJg/u0f7Nabsa6/T+B9sk0eUCALJFSAZQUNcS7CS7STet4AAgJ4RkAAUzM7+oqZV2Y9Qku8OHV0Ly574zqcUly+HZAED5ICQDKBi71GJHfa1aG+scng0k6ViHIaOpXubMvMYmTKenAwBlg5AMoGCuTs9IWt5F9ng8Ds8GklRb49ELDy93uaAVHABkjpAMoGBo/+ZO3Y/SCg4AskVIBlAwV7mS2pXsK6q/9PaUbs8uODwbACgPhGQABWN3tjjITrKr+HY3q3P3Di0sWfrCOFdUA0AmCMkACuYa5RaulWwF9yYhGQAyQUgGUDBX7R7JlFu4jt0KLvytGw7PBADKAyEZQMFwcM+9vu/hParxSN+6eVeXp+45PR0AcD1CMoCCWFqy1ty2R0h2G6OpXs8dsa+opuQCALZDSAZQEJP37mt+cflGtwO7CMluZNclR96kFRwAbIeQDKAg7FKLfTsb1FDHby1u1LOmX/ISV1QDwJb4SQagIKhHdr/njrRpl7dOk/fm9cq1aaenAwCuRkgGUBCrnS2aHJ4JNlNfW6Pve3i3JCnM7XsAsCVCMoCCSN62x06yq/UkW8ERkgFgK3XZvmF0dFTj4+OKRqOKx+Pq7u7W0NBQ2rGRSEThcFidnZ0yTVOSdObMGdeOzWU8gGWUW5QHOyT/zVtTuju3oGZv1j8GAKAqZPW7YyAQUH9/v/r6+iRJpmnqxIkTamtr06VLl2QYRnJsKBTSuXPnFAwGk89FIhH19PQoHA6nfK4bxuYyHsCqd+wrqblIxNUe2dOsI0aTLpsz+svYpL7/8f1OTwkAXCnjcotQKKRTp07J5/MlnzMMQ8FgMBmWbaZp6vTp0zp79mzKZ3R3dysej2t0dNRVY3MZDyAVO8nlwePxqOc9XFENANvJOCRfuHBBfr9/w/OGYaivr0+RSCRZnnD+/Hn5fL6UnWXbqVOnNDIyknzshrG5jAeQ6ur0jCRCcjnoeWSlXzKH9wBgUxmH5NHRUfX09KR9raurS5I0NjYmSQoGg2pvb0871ufzKRqNJgO1G8bmMh7Aqtn5RU3em5dESC4HLzyyRx6P9Nq7t3Vt5U8AAACpMg7Jx44d2/Q1OzzaIXNsbCylLGMt+/lYLOaasbmMB7DKvo66sa5GbU31Ds8G29nd3KCuQ62SuH0PADaTcUgOh8ObHl4bHx+XpGQ5hmmaacsW1rIDpxvG5jJ+M4lEIuVrbm5u2/cA5W5tPbLH43F4NsiEfUU1/ZIBVLK5ubkN2SxTBemTPDo6mux4sR07iMbj8bIYm+34jo4Otba2Jr8GBwcz+h5AObtGZ4uy8+GVkBx58xZXVAOoWIODgym5rKOjI+P35t0gMxAIyOfzbdorudpMTEyopaUl+djr9To4G6A06GxRft7/UJt21Nfq+u05vfpuQu892Or0lACg4AYGBvTiiy8mHycSiYyDcl4hORqNanR0VBcvXty2VMG2vn7Z7WOzHd/S0pISkoFqwG175cdbV6sPdu7WZ795Q+Fv3yIkA6hIXq835w3LvMotTpw4oZdeemnTA28AqoNdbsFOcnmx65JpBQcAG+Ucknt6ejQyMpK2d7LP59v0kJtd12sHazeMzWU8gFXJcouWJodngmzYV1T/ZWxSs/OLDs8GANwlp5Dc39+vQCCg7u7utK/7/f5NewrbQdQO124Ym8t4AKuoSS5PT+zfqYMtjZpdWNJfX8rsIDMAVIusQ/Lw8LBOnDixISDHYjFFIhFJy7vMm+3Kjo+Pp7zXDWNzGQ9gmWVZdLcoUx6PRz2P7pEk/TklFwCQIquQHAqF5Pf70wbGaDSaLEc4efKk4vF42tAZCoXU39+ffOyGsbmMB7Asfm9ecwtLkqSDrXRzKTc91CUDQFoZh+RoNKqRkRHFYjGNjo4mv4aHhzU8PKzBwcFkSDYMQ2fPnlUgEEj5jFAoJJ/Pp97e3uRzbhiby3gAy+xSiz3NDfLW1To8G2Sr+5HlkPzVawnduM3lRwBgy7gF3AsvvCDTNJMlFeutP9TW29srwzAUCATU2dmZrPdNd2ufG8bmMh6AdHV6RhL1yOVq3y6v3newRV+9llDkzZv6Sf9hp6cEAK7gsSyLq5YKIJFIqLW1VdPT0/RJRlX51Mtvqy/4dX30sX36k4895/R0kIMzf/KG/q8vjOun/If06Z/kgDKAypVNXivItdQAqhcXiZS/H37ygCTpv776rqZn5h2eDQC4AyEZQF7obFH+PvBQmx7ft1P35hf1B69cdXo6AOAKhGQAeblGj+Sy5/F4dPr5ByVJZ7/8tqjCAwBCMoA8cZFIZfjprsPy1tXoq9cSunhl2unpAIDjCMkA8kJIrgy7mxv0408/IEka/fLbDs8GAJxHSAaQs7mFRd28e18SIbkSnH7+iCTpD1+5qtuzCw7PBgCcRUgGkLN3E8uXTzTU1mj3jgaHZ4N8fa9vtx7d26y79xf1h1/lAB+A6kZIBpCzq8nOFl55PB6HZ4N8eTwenX5u+QDfpyi5AFDlCMkAckY9cuX5+8cOq77Wo7Er04peMZ2eDgA4hpAMIGerIbnJ4ZmgUPbu9OrHVg7wnX35ssOzAQDnEJIB5Izb9iqTXXLxB9GrujvHAT4A1YmQDCBn9m17h7htr6J8sHO3Onfv0O25BZ372jWnpwMAjiAkA8jZNXaSK1JNjUcfe271Bj4AqEaEZAA5u8pOcsX62eMdqqvx6OXLpr5+LeH0dACg5AjJAHJiWZauTs9IortFJdq/y6sfeeqAJOnsy+wmA6g+hGQAOTFn5jUzvySJcotK9bHnlm/g+72LV3TvPgf4AFQXQjKAnNidLdp31Kupvtbh2aAYuh/Zq4famjQ9u6Dg195xejoAUFKEZAA5SdYjs4tcsWpqPPrY8ysH+Ci5AFBlCMkAcpLskcyhvYr2D453qLbGoy++NaXX373t9HQAoGQIyQBy8sb15cDk293s8ExQTA+0NOqHntgvid1kANWFkAwgJxcnpiVJxw63OjwTFNvplQN8/3nsimbnFx2eDQCUBiEZQNaWlixFry6H5K7DhrOTQdF9+D37dMRo0tTMvP7oVQ7wAagOhGQAWXvz1l3dnltQY12Nnti/0+npoMhqazz6uWeXd5O5gQ9AtSAkA8jaxSumJOl9h1pVV8tvI9Xg557tUI1H+stYXN+8wQE+AJWPn24AsjZ2xS61oB65Whw2mvQDj68c4PvyZYdnAwDFR0gGkLXoyk4y9cjV5fRKz+RPj01oboEDfAAqGyEZQFbWHtqjs0V1+ch79upQa6Mm783rj1991+npAEBREZIBZOXbt+7oztyimupr9Ng+Du1Vk7raGg7wAagahGQAWRlb6Y/8DIf2qtLPP9shj0f6/Pik3uAGPgAVjJ9wALJykXrkqnakbYd+5MkDkqTfeOlNh2cDAMVDSAaQlYt0tqh6/6znUUnSf/nqVX3jOrvJACoTIRlAxhaXLEWv2If2DGcnA8c8c6hVP/LUAVmW9BsRdpMBVCZCMoCMfevGHd2bX1RzQ63ew6G9qvZ/ruwm/+FXr3K5CICKREgGkLGxlXrkZw61qrbG4+xk4KhnDrXqh5/cL8uS/mWY3WQAlYeQDCBjdj2yn3pkSPq1D79HErvJACoTIRlAxuzOFtQjQ2I3GUBlIyQDyMjC4pK+ejUhic4WWGXvJv8XdpMBVBhCMoCMfHPl0N5Ob60e3cuhPSx75lCr/s6T+7VEpwsAFaYu2zeYpqlAICDDMDQ0NLTpuEgkonA4rM7OTpmmKUk6c+aMa8fmMh6oJnY98jMHObSHVL/W86g+8/p1/eErV/V/dD+ix/btcnpKAJC3jENyIBBQLBbT8ePHFYlE1N3dvenYUCikc+fOKRgMJp+LRCLq6elROBx23dhcxgPVxu5s0dVhODoPuI//sKG/8+R+feb16/qNyJv6zz/pd3pKAJA/Kwd+v9/q6+tL+9rU1JRlGIY1NTWV9n0jIyOuGpvL+HSmp6ctSdb09PS2Y4Fy9P5/91eW51c+Y/3+xQmnpwIXujgxZXl+5TNW7f/+Geub1287PR0ASCubvFbwmuTz58/L5/PJMIwNr506dUojIyOuGpvLeKDaLB/as6+jNpydDFzJ3k1erk3+ttPTAYC8FTwkB4NBtbe3p33N5/MpGo0m633dMDaX8UC1eeP6Hc0uLGmXt06P7Gl2ejpwqV9buYXvD165qm/duOPwbAAgPwUPyWNjY/L5fGlfs5+PxWKuGZvLeKDa2P2R/YdaVcOhPWzCf9jQDz3BbjKAylDwkGyaZtqyhbXswOmGsbmMB6rN2Epni64O+iNja7/24dXd5G/fZDcZQPkqaZ9kO4jG4/GyGJvL+EQikfI1NzeX0fsAN4vanS2oR8Y2ulJ2k+mbDMBZc3NzG7JZprhMpMA6OjrU2tqa/BocHHR6SkBe5heX9NVry7+pHOOmPWTA3k3+/egVdpMBOGpwcDAll3V0dGT83pKGZPvw22aH5Nw2NpfxExMTmp6eTn4NDAxk9D7Ard64fltzC0tqaaxT524O7WF77CYDcIuBgYGUXDYxMZHxe9lJLrCWlpaUL6/X6/SUgLyMTazUI3NoD1lgNxmAG3i93g3ZLFMFD8k+n2/TQ252Xa/dMcINY3MZD1STi9y0hxx0HTb0g48v7yb/K3aTAZShgodkv9+/aU9hO4j6/X7XjM1lPFBNLtqdLahHRpbs3eTfi17Rm+wmAygzBQ/JPT09m+7Kjo+Pq7u721VjcxkPVIv7C0v6WvLQnuHsZFB2jnWs7ib/Qujrund/wekpAUDGCh6ST548qXg8njZ0hkIh9ff3u2psLuOBavH69du6v7gko6levt07nJ4OytBvfPQxNTfU6vPjk/qh3/2K7s4RlAGUh5xCsmmam/YNNgxDZ8+eVSAQSHk+FArJ5/Opt7fXVWNzGQ9Ui7EJU9JyqYXHw6E9ZO/pB1r0/51+Xru8dfr8+KR+4Hdf1u1ZgjIA96vLdODw8LAuXLigWCyW/Orp6ZFhGDp16lRKkOzt7ZVhGAoEAurs7EzW+4bD4Q2f64axuYwHqoFdj+w/RD0ycvfdR9v1Z33P6yNnv6y/jMX1/Z/6sj77sefU0ljv9NQAYFMey7IspydRCRKJhFpbWzU9PZ1VexHAzY7/33+pi1emde6nu3TivQedng7K3NiEqQ+PflnmzLyeO2Lof55+XkYTQRlA6WST1+iTDCCtuYVFff2d5UN7dLZAIRzrMPTSL7xf7Tvq9fJlUx8e+ZLi9+47PS0ASIuQDCCt1969rflFS21N9TrazqE9FMYzh1r10i+8X3uaGzR2ZVrdn/ySJu8SlAG4DyEZQFp2PfKxDg7tobDee7BVn/uF92vfzgZ99VpCH/rkF3XzzpzT0wKAFIRkAGnZnS389EdGETz1QIs+/4sf0IFdXr36zm196He+pOu3CcoA3IOQDCAt+zrqY9Qjo0ge379LX/ilD+hgS6Nev35b3/c7X9Q7iVmnpwUAkgjJANKYnV/Ua+/eliR1sZOMInp070594Zc+oA6jUd+8cUff9ztf1NXpGaenBQCEZAAbvfrO8qG93Tvq9WBbk9PTQYV7eE+zvvCL360H25r07Zt39cH/8EW9y44yAIcRkgFsYJdadB02OLSHkji6e4e+8Isf0NH2HRqfvKcf/o8XdO8+N/MBcA4hGcAGYyudLbo6qEdG6TzYvkN/1ve8du+o14UJUz/9B69ocYn7rgA4g5AMYIPomp1koJQe3tOsP/4Hx9VQW6M/fu1dBf70DaenBKBKEZIBpFh7aI/OFnDC9xzdrf/4d98nSfo3fxHT73zxLUfnA6A6EZIBpPj6OwktLFna29ygDoNDe3DGTzxzSP/iI++RJP2jP35Vn/3GdYdnBKDaEJIBpBibWKlHPsxNe3DWP33hEf3s8Q4tWdLf/b2L+tq1aaenBKCKEJIBpBiz65E7DEfnAXg8Hn3yx79LH3p4j+7MLeoHf/cr9FAGUDKEZAApoldWd5IBpzXU1Sj0M8f0+L6dujo9qx/63a/o9iyt4QAUHyEZQNLM/KJev24f2jOcnQywwmiq159+7Dnt29mgr15L6Cd+76IWFpecnhaACkdIBpD0tWsJLS5Z2rezQYdaG52eDpD0UPsOfebnnlVjXY0++80b+uX//rosix7KAIqHkAwgaWzClLS8i8yhPbjNs0fa9Ht/zy+PR/oPX3xL//avLjk9JQAVjJAMIMmuR/ZTjwyX+rGnH9DwDzwhSfqV//G6/ttr7zg8IwCVipAMQJJkWZa+MjElSTpGZwu42It/26f+9z8oy5L+3u9H9fnv3HJ6SgAqECEZgCTpz751U29cv6OG2ho9f6TN6ekAm/J4PPr3P/KUPvKevZqZX9ILn/ySTn56TN+5ddfpqQGoIIRkAFpcsnTmT96QJP2v3/OQ9u3yOjwjYGt1tTU699PH9HPPHpHHI4W+/o6e/M3P65f/+2uavHvf6ekBqACEZAD6Txcm9Nq7t9XWVK//44VHnJ4OkJFdjXX61Mn36qsv/m195D17Nb9o6d/91SU9PPiShj//Hc3OLzo9RQBljJAMVLm7cwv6tT/7piTpn/U8orYdDQ7PCMjO0w+06LOnn9ef9T2v9x5s0fTsgv7Jn35Djw19Xr938YqWlmgVByB7hGSgyv3WX8T0TmJOR9t36Jc+8JDT0wFy1vPoXo398vfqP556nw63NuqyOaO//4ev6Nl/+1f63Jsc7gOQHUIyUMXeTczqN7/wHUnS4Ecfl7eu1uEZAfmprfHoZ4536Fv/5EP6je9/TLu8dYpenVb3yJf0g596Wa+/e9vpKQIoE4RkoIp9/M+/pbv3F/XcEUMn3vuA09MBCqapvlYDLzyi7wx8SP/wux9SXY1Hn/3mDX3Xb31BP/0HUb15847TUwTgcoRkoEq9/u5t/e7LlyVJv/lDT3DDHirS3p1e/fsffVqv/eoH9WNPH5BlSb8fvaonfvML+rn/8lXFJmkbByA9QjJQpf7Jn76hJUv6sacP6HuO7nZ6OkBRPbp3p0I/c1wXfvlv6Qcf36/FJUv/aWxCjw19Xn3Br+nt+D2npwjAZQjJQBX63Ju39KffuKG6Go8GP/q409MBSqbrsKHP/Pyz+vI//h595D17tbBk6VMvX9ajQ5/TL/3R13XFnHF6igBcgpAMVJmlJUu/+ievS5J+4QMP6ZG9Ox2eEVB6zx5p02dPP6+/+offrRce2aP5RUuf/NLbenjwc/rH/+01vZOYdXqKABxGSAaqzO+/ckWvXE2opbFOv9bDxSGobt99tF3h/vfr87/4fn2vr133F5f0//z1JXX+q5f0K595nTIMoIp5LMuiy3oBJBIJtba2anp6Wi0tLU5PB0hrZn5Rjw19ThPmrAY/+rgCH3rY6SkBrmFZlj7/nUn92p99U198ayr5/HNHDJ1830Gd+K6DOmw0OThDAPnKJq8RkguEkIxy8K8/96b+6We/qQ6jUd8MfEhN9fRFBtazLEt//u2bGv7cd/SF2KTW/pT87ofadPJ9h9T7XQ/ogZZG5yYJICeEZAcQkuF2N+/M6ZF//TklZhf06Z94Rj/VddjpKQGu925iVqGvv6PzX7umv74UTz7v8Ujfe3S3Trz3oH78ux7Q/l1eB2cJIFOEZAcQkuF2/+iPX9Vv/81b8h9q1Vf+t7+lmhr6IgPZuDo9o+DX3lHwa9f0pbdXyzFqPNL3PbxHP/zkAR3vMPRdB1v4UxrApQjJDiAkw82+ffOOnvrNL2hhydJLv/B+fd/De5yeElDW3o7fS+4wX5gwU16rrfHo8X079cyhVj1zqFX+Q61636EWtTTWOzNZAEmEZAcQkuFmP/6fLuiPX3tXP/j4fn3m5591ejpARYlN3lXwa+/oL8Zv6eKVad28ez/tuIf3NOuZgy165vBycO46bGh3c0OJZwtUN0KyAwjJcKu/vjSp7/3tL6rGI339Vz6oJw7scnpKQMWyLEvXErN65WpC0SvTeuWqqVeuJnR5k0tKHt7TrOeOGDreYei5I21636EWeeso1QCKJZu8VleiOZWdSCSicDiszs5OmaYpSTpz5oyzkwKyZFmWfvV/vCFJ+thzDxKQgSLzeDw61NqkQ61N+sEn9iefv3V3Tq9cTeiVq9N65eq0Ll6Z1ndu3U1+/X70qiSpvtaj9x1s1bNHlkPzs0cMPbKnWR4PZwiAUmMnOY1QKKRz584pGAwmn4tEIhoaGlI4HE77HnaS4SYLi0v6zBvX9dt/fUmfH5/UTm+tvh34kA7Qsgpwjfi9+7owYerlt01dmJjSy5dN3UpTqtHWVK/3HmzR4dZGHWxt0qHWRh1qbdTBluVfD+zyqr6Wu8GATFBukQfTNHX06FFdunRJhmGkvNbV1aX+/n719fVteB8hGW5wbXpWn3r5ss6+/LauTi9fq+vxSL/9o0/rFz7wkLOTA7Aly7L0VnxGL1+e0lcmTH3l8pSiV6Y1u7C05fs8HmnfTq8OrYTmgysBevnLm3y8e0cDXW1Q9Si3yMP58+fl8/k2BGRJOnXqlEZGRtKGZMAplmXpC+OT+p0vvqX/9tq7Wlha/v/evc0N+tjzR9T33IN6sH2Hw7MEsB2Px6Oju3fo6O4d+rvPHJIkzS8u6evvJPSN63d0LTGrq9OzujY9u/rXiVktLFm6fntO12/PKXp1etPPr6/1rAnPjXqgdTlE79/pVduOerU11autqUFtO+rV3lSvHQ21lHmgqhGS1wkGg2pvb0/7ms/nUzQalWmaaUM0UErTM/P69MUr+uQX39I3btxJPv89R9v1ix94SD/29AEOAAFlrr62Rl2HDXUdNtK+vrRk6dbd+7q6JjTbv76z8uu1xKxu3Lmv+UVLb0/N6O2p9IcIN35vz0pwrlfbjobkXzd7a7WjvlY7GtL/2lS/8fnmhrrkX9eym40yQUheZ2xsTCdPnkz7ms/nkyTFYjH5/f5STgtVxrIs3bu/qDv3F3VnbkF37i/oztyi7txf0O3ZBYXfvKnfv3hV9+YXJUk7vbX6Kf9h/eIHHtLTD1DuA1SLmhqP9u3yat8ur5451LrpuPsLS3r39qyuJeaWg7MdpBOzun57TlMz88tf95Z/XViyNL9o6cad+7px576kuwWbc0NtzUpw3himG2prVF/rUX3Nyq+1Napb97i+ZuXXlcdr39NQZ/+6Oq5hZVxtjUe1Ho/qapd/ra3xJJ9b/mut/rXHo5oaj2o8y8/VeDyqqdHyr541z6+MWfs8u++Vg5C8Tia7xFuF5EQikfLY6/XK6y38daV/EL2is1++XPDPxeYsZVe+b1nSkrX8LsvSyq+WlqzlX601Y5Ys6d78aiC+e39RmZwWeHL/Lv3iBx7ST3Ud4qICAJtqqKvRkbYdOtK2femVZVm6e39xTWi+nxKg780v6t79xeSvM+ser/31rv36/OrvafcXl3R/ZknmzHyR/66dYwdnTzJArwZpj0fyaDlML/+a5nHKa2vfs/7x5p8nrQZ2+/nlv155zpP+OXu8NnmPbf33WPvc+rHrx6Ub/+9+9KlN/8QkH3Nzc5qbm0s+Xp/TtkJIzoIdnuPx+KZjOjo6Uh5//OMf1yc+8YmCz2XCnNVfxCYL/rlwn53eWu1sqNNOb512NtRqp7dOvvYd+rlnj+hv+drZtQBQUB6PZ/n3G2+dOoymgnymZVmaXVhKE6IXUp67v2hpfnFJ84uW5pdWfk33eGn1+YXFJd1f+evlX5dfv7+wOu7+4pIWFi0tWpYWl1a+LEuLS0o+t7CU+trqJsbyRkY2llbeu/J3X5A1rHSJ2YWifO7g4KB+/dd/Paf3EpILbGJiIuW0ZDF2kSXph5/aL99uDmOVWrZxtKZms92AlT+W0+pOQHNDahje5a1TU30tp9EBlD2Px6OmlXrl3U5PJgdWSmhODc+LS8t/Mph8bin9uLW/Lv/p4sqv1mqMXvunjMnX1z+/8tr6P5W0x2vlsbTuOW18LfXx6hzSjt/k+a3eqzRjV9+T+uRTRerjPzAwoBdffDH5OJFIbNjQ3AwhOQv2pSKbHeyTpJaWlpK0gHts3y49to+LIQAAKDZ7M6Mm660SOC2fsle6jwMAAADrEJLX8fl8isViaV+za5HtLhcAAACoTITkdfx+f7KsYj07PNP+DQAAoLIRktfp6enZdCd5fHxc3d3dJZ4RAAAASo2QvM7JkycVj8fTBuVQKKT+/n4HZgUAAIBSIiSvYxiGzp49q0AgkPJ8KBSSz+dTb2+vQzMDAABAqdACLo3e3l4ZhqFAIKDOzs5kjXI4HHZ2YgAAACgJj2Wla/GMbCUSCbW2tmp6erokfZIBAACQnWzyGuUWAAAAwDqEZAAAAGAdQjIAAACwDiEZAAAAWIeQDAAAAKxDSEbRzM3N6ROf+ITm5uacnkpZYv3yxxrmh/XLH2uYH9Yvf6xh7mgBVyC0gNuINckP65c/1jA/rF/+WMP8sH75Yw1T0QIOAAAAyAMhGQAAAFiHa6kLxK5aSSQSDs/EPey1YE1yw/rljzXMD+uXP9YwP6xf/ljDVPY6ZFJtTE1ygVy5ckUdHR1OTwMAAADbmJiY0OHDh7ccQ0gukKWlJV27dk27du2Sx+NxejoAAABYx7Is3b59WwcPHlRNzdZVx4RkOM40TUUiEQUCAY2Pj+c8BqtGR0c1Pj6uzs5OjY+Pa2BgQIZhOD2tstDf36+uri75fD61t7envObz+VjHDESjUQUCAfX09Mjn8ykWi2l8fFwjIyNOT61sjI6OSlr+ve/ChQvq7+9Xd3e3w7MqL/zc2B5rtDVqkuGoaDSqsbExtbe3KxaL5TwGq0ZHRxUOhxUMBiUtr98LL7ygixcvOjyz8jA2NpYMKGsZhqFLly45MKPyFIvFFAgE5PP51NvbS0DOQn9/v06cOJEMxZFIRD09PZqamuJ/0jLEz43tsUbbYycZrhCLxdTZ2bllIX0mYyB5PB6Fw+GUXafOzk6NjIywE5WBQCCgoaGhlOei0ahisZh6e3sdmlV5iUajkiS/3+/wTMrTiRMn1N7envwfC/v3vvX/XWN7/NzYHmu0OXaSgQpihxOfz5fyvM/n4wdshk6dOrXhuUgkojNnzjgwG1Qj+0+BbPZ/18eOHXNiOkDVIiRXMdM0FQgEZBjGhp2ztSKRiMLhsDo7O2WapiQRGDbh1jU1DCP5g9bN3LB+63c/0+0su5kb1tD+fPuPci9cuFA2dfFuWb+1RkZGNDQ0VBbrJ7lzDSsFa1tahOQqFAgEFIvFdPz4cUUikS13F0OhkM6dO5eys2HXx4XD4VJMtyy4ZU3tgGf/pmhze72ZW9ZvvUgkouPHjxf0M4vFbWto1yJLy/9ednV1ufpgkNvWT1o9X9DT01MWAceNa1gpWFuHWKhqfr/f6uvrS/va1NSUZRiGNTU1lfZ9IyMjBZvH+Pi4td2/jpmMcQOn1/TMmTPWmTNnko/Hx8ctv99vdXd35/3ZpeD0+q1VLmu2npvW0GYYhhUMBovy2YXmpvWbmpqy+vr6Uv6bLgduWcNy+bmRjUKvbSWuUaGwk4xNnT9/ftOWV6dOndLIyIj6+vokLf9faqan19fX21WTUqzp0NCQhoeHNTw8nPxe6dqZlaNS/jsZjUYVj8fzmq8bOfXftV0XX+6HH0u9foZhaGRkRB6PR7t37y6LHeXt8LOleLJZW2yPkIxNBYPBTYOVz+dTNBqVaZoyDEPd3d0cCstAqdZ0/Q9Su2dtuSvlv5Pnzp3bcACyEpRiDdva2vTSSy9VZHeLUqxff39/sn3e2s8Oh8MVEZL52VI82awttrf1VSOoamNjY5uGBPt5t9e6uk0p1tT+TdBmmqZisVhF7B6U8t/JaDRaEbvv65ViDY8dO7bhe8RiMXV1deX1uW5Q7PWLRqMaHR3d8BnxeLxigg0/W4qHtS0sQjI2lcn/bRbqP7b1B81yHeN2pVjT06dP6/z588nHgUBAZ8+ezesz3aKU/07GYrGKCSVrlWIN1+8gh0Ih+Xy+ivgftWKvn9/v15kzZ1J2TyORiEzTLKsuK1tx28+WSpLL2lbbGmWDcgvkxP6PMN+azVgsplAolDxxe+LECR0/flx9fX3J75HJmEpQqDUdGhpSNBrV8PCwJicnU27uqmSFWr+1n1cunS0KpZD/Dg4PD0uSJicnZZpmVdz4WKj1GxgYSK6fJF24cEEXL16syPKf9Ur5s6XarF9b1mh7hGQ4yufz6cyZM1vW2WUyBquo4SuMagh1xcR/r7kzDIP1yxM/N7bHGm2PcgvkxP7jmUqs2XQKa5of1i9/rGF+WL/8sYbFw9pmj5AMAAAArENIxqZ8Pt+mhyfsmqZqqJErJNY0P6xf/ljD/LB++WMNi4e1LSxCMjbl9/s3PfVq/0dYiX1Qi4k1zQ/rlz/WMD+sX/5Yw+JhbQuLkIxN9fT0bPp/pOPj4xwOywFrmh/WL3+sYX5Yv/yxhsXD2hYWIRmbOnnypOLxeNr/4EKhkPr7+x2YVXljTfPD+uWPNcwP65c/1rB4WNvCIiRXOdM0N+1HaRiGzp49q0AgkPK8fTFAb29vKaZYdljT/LB++WMN88P65Y81LB7WtnQ8lmVZTk8CpTU8PKwLFy4oFospGo1KWu6taxiGTp06teE/okgkonA4rM7OzmStE30VU7Gm+WH98sca5of1yx9rWDysrTMIyQAAAMA6lFsAAAAA6xCSAQAAgHUIyQAAAMA6hGQAAABgHUIyAAAAsA4hGQAAAFiHkAwAAACsQ0gGAAAA1iEkAwAAAOsQkgEAJTM8PCyPx5P86urqcnpKeQkEAil/Pz09PU5PCUCBEJIBACXV3d2t8fFxjY+PKxgMOj2dvAwMDCT/Xs6cOeP0dAAUECEZQNXp6elJ2f2zv3IVjUbV1ta24fP6+/sLOOvKYRiGfD5f8ktKv4adnZ05f48TJ06kfFZbW5tGR0cL9beQtPbvJZ/5AnAfQjKAqhMOh2VZli5evJgMadJyUMvF4OCgTNOUJPX19WlqakqWZWlkZKQQ060Kfr8/uW5+v19+v1+xWEyRSCTrzzJNM/nPwzAMTU1NaWpqSn19fQWeNYBKRkgGULXi8bh6e3tlGIYkKRaLZf0Zw8PDKXWogUAg+XnIzbFjx5K78Ln8j8b58+eT7/f5fPzzAJATQjKAqhUOh9XT05PcTc42JMdiMU1OTqbsWq7dmUbuTp48KUkKhUJZv3d8fJx/DgDyRkgGULUikYi6u7uTgWp8fDyr9w8NDWloaEjhcFjS8oE0FI5dHpFNUI7FYtQGAygIQjKAqpfLTnIoFNKJEyckKVk3S/uvwrLXN5uSi1AoRO0xgIIgJAOoSvYusqTkzmOmIdk0TYXDYXV3d6cc9mMnubC6u7tlGIYikUiypGU7k5OTxZ0UgKpBSAZQlex6ZCn7neTBwUENDQ1JWt1Fph65OOxd4Uzat0WjUXbzARQMIRlAVYpGo8md37Xhdrsdy2g0qs7OzmTHBOqRiyubLhfnzp3jnwOAgiEkA6hK8Xg8+ddrQ/J2u8mDg4MpNa9jY2OSqEcuFp/Pl+yZnEuLPgDIFSEZQNVZW49sy6RX8vDwsAYGBpKPo9FocueZHcziOXXqlKStd5NDoVByHAAUAiEZQNVZW49s264u2e6J7Pf7k89Rj1wamdQlX7hwIeWfDQDki5AMoOqsrUe2HTt2TNLmvZLtnshrZVOPfOLECXV2dsrj8cjj8ainp0cnTpzQiRMn1NPTo66uLvX09Gx7NfaJEyfU1dW15ed0dXVldNBts8+yxWKxlHm3tbWpp6cnWSdcKoZhqLu7W6Zppr2m2jRN7d69u6RzAlD56pyeAACU2tp6ZJvdBs6uMV4rFAqlrTnOph45GAwqGo2qq6tLfX19aUsHRkdH1dXVpZGRkU17/QaDweSFGWfOnNkQ3O35njhxQhcvXtyyRGHtnHp7exUMBlNe9/l8CgaDGh0dVX9/v/r6+tJ+v1Lo7+9XJBLRyMjIhv8pOX/+PL2RARQcO8kAqkq6XWRp63KLcDis3t7elOdisVjW9cjbheq+vj75fL5td2q3u7ykt7dXfr9fo6Oj23brsD9rq3reixcvbjum2Oz1T3f73vj4eLKmPB+maWp0dFSBQECBQCCj9QNQuQjJAKpKJBJJGy7tkLw+FNmBKd3nSNnVI2dSnpHJAcJMPqe9vV1S+l3zbD8rEonIMAzHa37TXVNdqGuoA4GABgcHdezYsWRpzbFjxzQ4OFjy8hIA7kBIBlBVwuFwsv54rXRt4KLRqHbv3p02BOfSHzkSicjn822562nXJG8VvCORyLaB1Q622wX4sbGxLedkmqZisVjaNSu1dNdU53sNdTQa1YkTJ9Tf36+hoaGUdfX7/RoaGlIgENCJEye2rRcHUFkIyQCqSjweTxsI1z5nh+TBwUGdOXMm7edsV/Kwnl2esVWotg/bbfY9M/0ce+f77NmzW87JbmG33S6y5I4+0Omuqc73GuqRkREFg8Et/2fCrs0eGRmh/AKoIoRkAFUjGo1uuSO6ti55fU/ktXKpR94ubJqmqUAgoN7e3i0Px233OXYtbTAY3FBHvV4mBw/ddqPg2nZw+V5DvVkpzWbsXWUA1YHuFgCqxmb1yDafz6dYLKZwOJy86W2zz5EKU48ci8UUiUSSdbDblQ7YnxMOh1P++P/ChQuKxWLq7+/X1NRUVnMaGRnRuXPn0o6x/16drke29ff3a3h4WCMjI5qcnMy520YsFtu0lGYzhmGos7NT0WjUNesBoHgIyQCqxsjISDIYpmMHpkgkokuXLm06zv6MbOp07RrhwcHBlOd3794tv9+/aX/mdJ9j18quZfcQDgQCGh8fzyg82jXSm62JaZpqa2sr+S5yPB7ftCzG/p+X7eqDtzuwmGstc19fnwYHBwnJQBUgJAOoeNFoVIFAQLFYLLljmy6A2V0Szp49u+lBtmg0muyukGnbMbs8Y7tSikw/J11oNQxDvb29MgwjuVu+1feyP+vkyZObjnGiHjkUCikUCsk0TQWDwbRr3N/fr/7+/i1b0tkherMuIZu1jYtGo3rhhRdkmqYuXry4IQwbhkFdMlAlqEkGULGi0ag8Ho+6urqSgW90dFRtbW1p23r5/X51d3en7Ync1tYmj8ejF154QYZhyDAMhUKh5E10W+1sFipsZvI5doBO1084288qZT2y/c/K7mARiUTU1taWcgOg7eTJk/L7/Wl3c7u6utTZ2ZmsHbZ3wzs7O7ddE/v72iF4sxIUANWBnWQAFcvv98uyrIzHd3d3b3rRSKZ1vukUKmxmUuaxVX/lbOdUynrkbP5ZGYaRvOBkvc2ez1RfX18yHNMfGahuhGQAKLJMexZn8jl+v3/LMg872G7X2WK7ns12f2S3dLUotK6urrQH8LYK4JKS13gDqHyUWwBAEWXS17hQn2N3t/D5fBnVI5dLf+RiOHnyZMqlJJkaGRnZso4bQOUgJANAEdl1sPmGTftzjh8/vunrXV1d8vv9W3bwWPtZW+2I2iUHlbqTbB9wzKRO2RYKhdTT05PxgU0A5Y1yCwAogkAgoGg0mrywY2hoSOFwWENDQ1mVXdifY+/sDg4OphwoM01T8XhcPp9PZ8+e3bLMIpM5nThxItlOTpJOnz6dvHGu0vT29qq/v1+GYWz7PwPRaFThcDin3WcA5cljZXOqBQCAPAwPD+vChQuuCt2jo6MaHx/XwMDAhl1i0zQ1ODiozs7Obfsq2zcdbreTD6A8sJMMAKhqfX19isViGhwc3NAD2TCMZJ03gOpCSAYAlJTdX1pabv2Wb9u2QtjusONmAoGAhoeHk48rtYYbqEaUWwAASsauoV6rnHdpK+3vB8AqQjIAAACwDi3gAAAAgHUIyQAAAMA6hGQAAABgHUIyAAAAsA4hGQAAAFiHkAwAAACsQ0gGAAAA1iEkAwAAAOv8/z5rZb6hTX5KAAAAAElFTkSuQmCC", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "plt.plot(mass_arr,yield_pbh_arr, label=\"PBH\")\n", - "plt.xscale(\"log\")\n", - "plt.xlabel(r\"$M_{PBH}$ [M$_\\odot$]\")\n", - "plt.show()" - ] - }, { "cell_type": "code", "execution_count": 459, @@ -1710,41 +2553,50 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 108, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "192.9365834328922\n" + "1.025\n" ] } ], "source": [ - "t_e_typical = 4.1 * (1e7)**(1/2) * (4)**(1/2) * (280/50)**(-1) / 24 # 30 solar mass, days\n", - "# t_e_typical = 4.1 * (1)**(1/2) * (8)**(1/2) * (280/50)**(-1) #earth mass, hours\n", + "# t_e_typical = 4.1 * (1e7)**(1/2) * (4)**(1/2) * (280/50)**(-1) / 24 # 30 solar mass, days\n", + "t_e_typical = 4.1 * (1)**(1/2) * (1)**(1/2) * (200/50)**(-1) #earth mass, hours\n", "print(t_e_typical)" ] }, { "cell_type": "code", - "execution_count": 22, + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "t_e_typical = 4.1 * (1e7)**(1/2) * (4)**(1/2) * (280/50)**(-1) / 24 # 30 solar mass, days\n" + ] + }, + { + "cell_type": "code", + "execution_count": 88, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "0.002070812716332032" + "0.0026355798207862223" ] }, - "execution_count": 22, + "execution_count": 88, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "4.1 * (1e-6)**(1/2) * (8)**(1/2) * (280/50)**(-1) #earth mass, hours\n" + "4.1 * (1e-6)**(1/2) * (8)**(1/2) * (220/50)**(-1) #earth mass, hours" ] }, { diff --git a/examples/roman_figures.ipynb b/examples/roman_figures.ipynb index fa90e35..974f17d 100644 --- a/examples/roman_figures.ipynb +++ b/examples/roman_figures.ipynb @@ -1449,19 +1449,19 @@ }, { "cell_type": "code", - "execution_count": 29, + "execution_count": 38, "metadata": {}, "outputs": [], "source": [ "nick_ffp_df = pd.read_csv('popsycle_data/nick-t_E-Lmass-ffp-06-combined.csv', header=None)\n", "nick_ffp_tes = nick_ffp_df[0].values\n", "nick_ffp_masses = nick_ffp_df[1].values\n", - "# nick_ffp_tes_sampled_066 = 10**(pd.read_csv('popsycle_data/p066-logtE-sampled.csv', header=None).values.flatten())\n", - "# nick_ffp_tes_sampled_100 = 10**(pd.read_csv('popsycle_data/p100-logtE-sampled.csv', header=None).values.flatten())\n", - "# nick_ffp_tes_sampled_133 = 10**(pd.read_csv('popsycle_data/p133-logtE-sampled.csv', header=None).values.flatten())\n", - "nick_ffp_tes_sampled_066 = 10**(pd.read_csv('popsycle_data/lower1e-12-p066-logtE-sampled.csv', header=None).values.flatten())\n", - "nick_ffp_tes_sampled_100 = 10**(pd.read_csv('popsycle_data/lower1e-12-p100-logtE-sampled.csv', header=None).values.flatten())\n", - "nick_ffp_tes_sampled_133 = 10**(pd.read_csv('popsycle_data/lower1e-12-p133-logtE-sampled.csv', header=None).values.flatten())\n", + "nick_ffp_tes_sampled_066 = 10**(pd.read_csv('popsycle_data/p066-logtE-sampled.csv', header=None).values.flatten())\n", + "nick_ffp_tes_sampled_100 = 10**(pd.read_csv('popsycle_data/p100-logtE-sampled.csv', header=None).values.flatten())\n", + "nick_ffp_tes_sampled_133 = 10**(pd.read_csv('popsycle_data/p133-logtE-sampled.csv', header=None).values.flatten())\n", + "# nick_ffp_tes_sampled_066 = 10**(pd.read_csv('popsycle_data/lower1e-12-p066-logtE-sampled.csv', header=None).values.flatten())\n", + "# nick_ffp_tes_sampled_100 = 10**(pd.read_csv('popsycle_data/lower1e-12-p100-logtE-sampled.csv', header=None).values.flatten())\n", + "# nick_ffp_tes_sampled_133 = 10**(pd.read_csv('popsycle_data/lower1e-12-p133-logtE-sampled.csv', header=None).values.flatten())\n", "\n", "nick_ffp_tes_data = {\n", " 0.66: nick_ffp_tes_sampled_066,\n", @@ -1472,7 +1472,7 @@ }, { "cell_type": "code", - "execution_count": 30, + "execution_count": 40, "metadata": {}, "outputs": [ { @@ -1485,7 +1485,7 @@ }, { "data": { - "image/png": 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", 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", 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", 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", 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+n28KlIZhKBqNKp1ON7VWXLhwoSmEOo5z6kHUtm0Fg0FVKpXGLw7DiFAMAABwjEQicWSYrE8xNj8/37LPsixtbm42tQocfoHPMIxG2D14nGmaSqfTSqfTchxHhUJBtm0rEom0vKRWH20+WNPh3mPTNNv2KfdTKpVq/OxKpZKKxeKp3r9b9BQDAACcUD3odWpL6GbqMdM0m447fI5pmorH49re3m4E5IMsy5JhGMpkMpIet0ocnjrNsiy5rtvoOz5KvQ+5W/X7HiUcDjf9QlD/ZWIYEIoBAABOqD4S2ilsdtOycLi1odPiHKZpKhwOt71XPB5vnNcuoNdf0Dv4slunWrzqJmhLzS/XFYvFI6e9O02EYgAAgBOqj9IeHr2VHo/YHmxrkNTSwuC6rhzHUSwWa2w7aqTWdd22C2gkEonGDBjtZpCot2PYtn1kiD3Y29ytmzdvejpeejydnV/zHp8UoRgAAKCDenjtZhR0Y2NDa2trTdsymYzm5+cVj8ebth98QU+SVlZWGrNI1NXnFD5871wu17LsdJ1pmrIsS47jdAyb9RkpFhcX266Ml8lkPM+DfDDMdyuTyXQ9unwaeNEOAACcyAP3w0GX0MSPelzX1draWmO01rZthcPhI2dOiEajMk1Ttm0rFAo1Al+7xT0ikUjj2jdv3tTCwoKSyWTTMfVWiPpcxw8ePJDrugqFQh1bK6THAfW4do1kMqloNNr4fg4upBGPx5sCdX3p5/ooeCKRaIxSu66rQqEgx3Ea9R91vPQ47Nd7iQ//sjBIE7VarTboIkbV7u6uAoGAqtWqpqen+36/73//+/o366v6l8/+7NCsMf/399/XH9/4gX4nuaZPfepTgy4HAHCKqtWq/vXrX9P+B/cHXUqLyZ95Sl/68lcVCAQGXUqLiYkJbW9vt21/8MP6+npLwB5n3eY1RooBAEBPAoGAvvTlr2pvb2/QpbSYmpoaykDcD47jNPUYD0uP7qghFAMAgJ4FAoGxCZ9+8nOu4HQ6Ldd1lU6nlcvlhqolYZTwoh0AAMApKBQKjRfSUqlUV/P6dqO+jHMmkxmqZZNHDSPFAAAAp8CyLM+zOnTDMIyhXTp5lDBSDAAAgLFHKAYAAMDYIxQDAABg7BGKAQAAMPYIxQAAABh7hGIAAACMPUIxAAAAxh6hGAAAAGOPUAwAAICxRygGAADA2CMUAwAAYOx9YtAFnFShUFA+n1coFJLrupKkZDLZ07Ucx5Ft25KkYDDIWuIAAABjYqRDcS6X0+bmprLZbGNboVBQJBJRPp/3fK21tTVls1mZpilJcl1Xtm0TjAEAAM64kW2fcF1XKysr2tjYaNpuWZYqlYoymUzX1yqVSlpZWdH169cbgViSVlZWlMvlfKsZAAAAw2lkQ/HW1pZM05RhGC37lpeXlU6nu76WbdtaXV1tuVYkElEikThhpQAAABh2I9s+kc1mFQwG2+4zTVOlUkmu67YNzQeVSiUVCoWmFoy6eDzuR6kAAAAYciM7UlwsFptaHQ6qb3cc59jrpNPpjiPOAAAAGA8jO1LczSiw4zgKh8NHHlMoFBohen19XZJkGIbK5XLblop2dnd3mz5PTk5qcnLy2PMAAADgr/39fe3v7zc+H85pnYxsKD5KPchWKpVjj60H5/X19aap3BzH0dzcnLa3t48NxhcvXmz6/Morr+jVV1/1WjYAAABOaG1tTa+99prn80a2fcJPpVJJ0Wi0aZtpmrIsSysrK8eef+/ePVWr1cbX6upqv0oFAADAEVZXV5ty2b1797o670yOFNcX8ej0Il477fqT5+bmlEgkjm3VmJ6e1vT0tNcyAQAA4LNe21gZKVb7QHxwe7FYPM1yAAAAcMpGNhSbptlxdol6L3GnsHv4Ot28sAcAAICza2RDcTgcbrRJHFYPscfNPFE/5rjQOz8/77k+AAAAjI6RDcWRSKRjmC2Xy7Isq6vrLC8vq1Qqtd1Xv343I84AAAAYXSMbipeWllSpVNoG41wu17I8s+u6KhQKLcdGo1EZhqFcLteyL5vNKh6Ps7AHAADAGTeyodgwDG1sbMi27abtuVxOpmm2TLEWi8UUiUSUyWRarpXNZmXbdlM7RiaTkeM4SqVSfakfAAAAw2Okp2Srj/Latq1QKNQItfl8vuXYSCSiYrHYtj/Ysiyl02mtrKwoGAyqUqnINE2Vy+V+fwsAAAAYAiMdiqXHgbab/uFkMtm0Yl2v1wEAAMDZM7LtEwAAAIBfCMUAAAAYe4RiAAAAjD1CMQAAAMYeoRgAAABjj1AMAACAsUcoBgAAwNgjFAMAAGDsEYoBAAAw9gjFAAAAGHuEYgAAAIw9QjEAAADGHqEYAAAAY49QDAAAgLFHKAYAAMDYIxQDAABg7BGKAQAAMPYIxQAAABh7hGIAAACMvU+c5s3u3r0rSQoGg5qenj7NWwMAAAAd+RqKr1y5ojfeeKPj/nw+L0lyXVflclnPPPOMvvzlL/tZAgAAAOCZr6G4UCgcuX9lZaXp8zvvvKPXX3+dYAwAAICB8rWnuFareTr+0qVLKpfLfpYAAAAAeOZrKJ6YmPB8juM4fpYAAAAAeOZrKK5UKl0dt7u7q1u3bukLX/iCn7cHAAAAetJTT/HS0pIcx5HjOKpWq037nnzyya6vY5pm4+U7AAAAYFB6CsVbW1uNfy4UCkqlUrp+/bomJia0uLjY1TUikYji8bgCgUAvJQAAAAC+OfHsE5ZlybIsJRIJ3bhxQ2+//bYfdQEAAACnxree4nQ67Xn2CQAAAGAY+PqinW3bfl4OAAAAOBW+huLDi3MAAAAAo8DXUNyLz372s4MuAQAAAGNu4KH4wYMHgy4BAAAAY+7Es08ctru7q0wmo3w+f+xiHu3mOQYAAABOm6+huFqtanZ2Vq7rdn1OL0tDAwAAAH7y/UW7+fl5bW9v69GjR8d+VSoVGYbhZwkAAACAZ76OFDuOo2Kx2PXxhmFoZmbGzxIAAAAAz3wdKZ6fn/d8Tjab9bMEAAAAwDNfQ3Evo76XLl3yswQAAADAM19DcTAY1N27dz2dc+PGDT9LAAAAADzzNRS/9NJLunr1qnZ3d7s+J5FI+FkCAAAA4Jnv8xRfu3ZNq6urkqRIJCLTNBUMBtseWy6Xj53LGAAAAOg3X0PxE0880TTv8Pr6up+XBwAAAPrC11BsmqYcx5FlWV3NP1wul3Xr1i0/SwAAAAA88zUUG4ahXC6n5557rutzLly44GcJAAAAgGe+huL5+XmZpunpnNnZ2RPds1AoKJ/PKxQKNZaXTiaTnq4Ri8UUDAaVSCQUDofluq6KxaLS6bRWV1cVDodPVCMAAACGm6+h+Nq1a57P8bIC3mG5XE6bm5tNC4AUCgVFIhHl8/mur+O6rnK5nDKZTGObYRjKZrMEYgAAgDHg++wTp8V1Xa2srOjOnTtN2y3Lkm3bymQyisfjXV0rHA7Ltm2VSiVJj3ujo9Go7zUDAABgOA00FFerVVmWpZs3b3o+d2trS6Zptn2hb3l5Wel0uutQLD0O05Zlea4DAAAAo8/XxTu8KhaLjT5gr7LZbMf5j03TVKlU6vnaAAAAGC++jhQvLCx4Or5UKnU1dVs7xWJRS0tLbffVX/ZzHIeeYAAAABzL11BcLpe7Hp01DEOBQKDne7mue2yg9hKKHcdRoVBofC6Xy1pdXe05tAMAAGB0+L54x8LCgt54442Ox1SrVeXzeRUKBb388st6+umn/SxBkhpBttslpB3HUalUaupBLpVKmpub0/b29rHBeHd3t+nz5OSkJicnPdUMAACAk9vf39f+/n7j8+Gc1omvPcXBYFCxWOzIYwKBgKLRqK5du6Z0Ot11of2UzWZbZpsIh8MKh8NaWVk59vyLFy8qEAg0vtbW1vpVKgAAAI6wtrbWlMsuXrzY1Xm+huJ0Oq1nn3226+PX1tb6EiDrLRydXsTrViQSUS6XO/a4e/fuqVqtNr5WV1dPdF8AAAD0ZnV1tSmX3bt3r6vzfG2f6GV1ulqt5mcJvqqH6lKpdGRv8vT0tKanp0+rLAAAAHTQaxvrQKdkkx73GPfCNE05jtN2X72XuJslpxOJhGzbbrvPa28yAAAARtPAQ3GnYHuccDjccaaL+jW7mXlia2urYw317fPz8z3VCAAAgNHga/uEl5fmHMfR2tpaV6O57UQiEaVSqbb7yuVy16vTxePxjtfJ5/MdV80DAADA2eFrKDYMQxMTE56Ov3PnTk/3Wlpakm3bchynJVjncrmWoOu6rorFYktYXlhYaNsz7LqucrmcstlsT/UBAABgdPg+T7HjOC3Tmx0WDAY1NzenpaWlnl9QMwxDGxsbsm27KbjmcjmZptlSQywWU6FQUDqdbpqPOBqNKpFIKJFINAXjxcVFxePxY78XAAAAjD7fR4ozmYyef/55Py/bUTQalWEYsm1boVCo0WOcz+dbjo1EIioWi237g9PptNbX17W5uSnXdVWpVLS6ukogBgAAGBO+huL5+fmee4R7ZVlWV/3DyWRSyWTyyP0AAAAYT76G4mvXrvl5OQAAAOBU+BqK29nd3ZXjOKpUKjJNU08//XS/bwkAAAB40rd5im/duqWFhQXNzMxobm5OkUhEoVBIn/vc5/SNb3yjX7cFAAAAPOtLKH7hhRcUDoe1vb2tQCCg2dlZzc7OKhAI6Pbt24pGo/qN3/iNftwaAAAA8Mz3ULy6uqpisah8Pq9Hjx6pUqno9u3bun37tiqVinZ2dvTGG2+oWCzqi1/8ot+3BwAAADzzNRS/8847yufzKhaLWlxcbHtMIBBQPB5vBOVbt275WQIAAADgma+hOJPJ6Pr1610fv7W1pbW1NT9LAAAAADzzNRTXajUFAoGujzcMQzs7O36WAAAAAHjmayiemZnxfM5pL/YBAAAAHOZrKK4vs+wFI8UAAAAYNN/bJ77zne90ffytW7d6Gl0GAAAA/OTrinbJZFKWZalUKun8+fNHHnvnzh0tLi5qe3vbzxIAAAAAz3wdKTZNU2tra3r66af1la98Rbdu3dLu7m5j/+7urm7cuKHl5WU988wzunr1Kss+AwAAYOB8HSmWpGg0qkqlohdeeEGpVKrtMbVaTalUSisrK37fHgAAAPCsL8s8x+NxVSoVPf/88woEAqrVao2vy5cvq1wu66WXXurHrQEAAADPfB8prjMMQ+l0Wul0WpJUrVY9zWEMAAAAnJa+jBS3QyAGAADAsOp6pPjll19WtVrtuN8wjLZLNr/zzjtKp9Oan5+XZVm8WAcAAICh03UoXl1dVTKZ1MbGhiYmJlSr1WQYhizLUiQS0dLSUtvzLl26pFQqJcdxdPXqVe3s7CiVShGOAQAAMDS6bp8IBAJKp9Pa3t5WrVaTbduqVCra2trSysrKke0RgUBAly5d0rVr17S2tqZ4PK5vfvObvnwDAAAAwEl5etGuWq3q5Zdf1vb2ti5dutTTDU3T1Ntvv62lpSUFg0H9o3/0j3q6DgAAAOAXTy/axeNxJZPJngPxQZlMRs8///yJrwMAAACcVNeh+Pr165qdndXi4qIvNzYMQ0tLS3rrrbd8uR4AAADQq65DcSaT0QsvvODrzaPRaGMeYwAAAGBQug7FpVLJ9xkjZmdn5TiOr9cEAAAAvDq1xTsAAACAYdV1KK5UKn0poF/XBQAAALrVdSienZ3VrVu3fL35O++8o9nZWV+vCQAAAHjVdSi2LMv3l+IymYwikYiv1wQAAAC86joULy0tKZPJ6Dvf+Y4vN75z544ymYyWl5d9uR4AAADQq65DcTgc1rPPPqtYLObLjZeWlmRZln75l3/Zl+sBAAAAvfK0zHM6ndYzzzyjX/mVX9H169d1/vx5zzfc3d3Vs88+q3feeUflctnz+QAAAIDfPE3JZpqmtra2VCwWNTs7qz/8wz/0dLM333xTs7Ozeuedd7S1teX7vMcAAABALzyNFEuPV6G7du2aXnjhBcXjcSWTSS0tLSkSicg0TRmGoWAwqEqlItd15TiO8vm8tra25LquarWa0um0Ll++3I/vBwAAAPDMcyiWpHg8rvn5ecViscYLc5lM5shzarWaTNNUNpvVpUuXeioWAAAA6IeeV7QLh8Mql8u6du2aLl26pFqt1vHr0qVLSqfTun37NoEYAAAAQ6enkeKD4vG44vG4qtWqisWiHMeR67oyDEOmaWp+fl6BQMCPWgEAAIC+OHEorgsEAlpcXNTi4qJflwQAAABORc/tEwAAAMBZQSgGAADA2CMUAwAAYOwRigEAADD2CMUAAAAYe4RiAAAAjD1CMQAAAMaeb/MUD0qhUFA+n1coFJLrupKkZDJ54uuur68rHA7LsqwTXwsAAADDbaRDcS6X0+bmprLZbGNboVBQJBJRPp/v+bqu68q27abrAgAA4Owa2fYJ13W1srKijY2Npu2WZalSqSiTyfR87ZOcCwAAgNEzsqF4a2tLpmnKMIyWfcvLy0qn0z1dt1Ao0DIBAAAwZkY2FGezWQWDwbb7TNNUqVRq9Bh7USqVFA6HT1gdAAAARslAQ3G1WtUXvvCFns4tFosyTbPtvvp2x3E8XTOTyfjykh4AAABGy0BDseM4noNrneu6bVsnDl/fSy2dRp4BAABwtnU9+8SVK1dUqVR8vXmhUPD1enX1sOyl3lwu1/Mo8e7ubtPnyclJTU5O9nQtAAAA9G5/f1/7+/uNz4dzWiddh+LNzU1Vq1XVajXv1bUxMTGhWq2miYkJX653ErlcTtFotOfzL1682PT5lVde0auvvnrCqgAAAODV2tqaXnvtNc/ndR2KTdNUKBRSJpNRIBDoeNzGxoa2t7dl23bHdoSbN28qk8noN37jN7S4uOi56OPUX7Drph3CdV1VKpWO/cnduHfvnqanpxufGSUGAAAYjNXVVb344ouNz7u7uy0DmO10HYqDwaASicSRgfju3bsql8u6du3akdeyLEuWZemFF14Y+PRnfrxcNz093RSKAQAAMBi9trF2/aJdKpXS/Pz8kcek02ldvXq165tfu3at54UyTNPs+CJdvZf4uNFfpl8DAACA5GGk+NKlS8ce08vsDb32KIfD4Y7zENfD8nGB13EcbW5utiz0Ub/u2tqaNjc3FQwGe14MBAAAAMOv61DcjV6mV+t1RotIJKJUKtV2X7lc7qotIxqNtn3BznVdzczMaHV19UQv4AEAAGA0+DpPcS+huNd5ipeWllSpVNqen8vllEgkmra5rtu3KeAAAAAw2nwNxZcuXdIf/uEfdn38jRs3em6fMAxDGxsbsm27aXsul5Npmi0jvLFYTJFIpKse5nrQ9nteZgAAAAwnX9snrl69qmeeeUaS9Fu/9VtHHnvjxg0lEgnl8/me7xeNRmUYhmzbVigUavQCt7tmJBJRsVg88mXBUqmktbW1Rii2bVv5fF6RSETxeLznOgEAADDcJmp+rcbx3xUKBX3+85/XM888o8uXL2thYaGxwpzruo2X20qlkrLZrJ577jk/b3+qdnd3FQgEVK1WT2VKtu9///v6N+ur+pfP/qx+/qnzfb9fN/7+/vv64xs/0O8k1/SpT31q0OUAAAA06Tav+TpSLD2eg7hYLCoWiymVSrWsWFer1WQYht5+++2+LNwBAAAAeOV7KJYeT4VWLpe1vr6uQqHQaEcwTVORSEQvvfRSP24LAAAA9KQvobgumUyeeLU4AAAAoN98nX3ioBs3bmh1dVVf+MIX9NZbbzXte/nll3X37t1+3RoAAADwxPeR4rt37yoWi6lUKjWmW4tEIk3HrK6uam1tTZ///Of17LPP+l0CAAAA4InvI8WWZWlnZ0fXrl3T9va2dnZ2Wo4JBAK6evWq3n77bUaMAQAAMHC+jhS//PLLsixL165d6+r4q1ev6sqVK3rjjTf8LAMAAADwxNeRYtd1uw7EdT5PkwwAAAB45msoPjwncb/OAQAAAPzUt9knulWfwxgAAAAYFF9D8YMHD/Sd73yn6+Pfeustzc7O+lkCAAAA4JmvoTgejysajXYVjK9fv66VlRW9/PLLfpYAAAAAeOZrKLYsS88++6xM09RXvvIV3bhxQ7u7u3rw4IF2d3e1u7urGzduaHl5WZ///Od19epVPf30036WAAAAAHjm++IdqVRK0uPp1ur/LEnr6+uNf67Vakqn01pZWfH79gAAAIBnfXnRLpVK6fbt23ruuec0OzurWq3W+Lp8+bLK5TKBGAAAAEPD95HiOtM0lc1mG5+r1aoCgUC/bgcAAAD0zNdQvLu7q+np6bb7AoGAbty4oWAwKMMwFAwGOx4LAAAAnCZf2ydmZmb0e7/3ex3312o13bx5s/GC3ZNPPqmnnnrKzxIAAAAAz3wNxbVaTclkUr/+67+u3d3dlv2Li4taWVnRtWvXVKlU9Nxzz2lnZ8fPEgAAAADPfJ+n+KWXXtLbb78t0zT1zW9+88jjNzY26DMGAADAwPnePnH16lW9/fbb+vGPfyzLsvSVr3yl4/GGYWh+ft7PEgAAAADP+jIlm2VZunv3rp599lldvXpVv/Irv9JxlTvTNPtRAgAAANC1voRi6fFsE/l8XlevXlWxWFQoFNI3vvGNluMmJib6VQIAAADQFV9Dseu6LduSyaSKxaLOnz+vaDSqL37xi37eEgAAADgxX0NxpVJpuz0cDuvu3bt67rnndO3aNX3uc59rtFPUajU/SwAAAAA88zUUFwoFvf/++233BQIBZbNZXbt2Tbdv31YoFNKbb75J+wQAAAAGztdQvLOzo1gsprt373Y8Jh6P6/bt2/qH//AfKh6Pa2Njw88SAAAAAM98DcUrKyuanp5WPB7X8vKyrly50vY40zRVLpe1srKiR48e+VkCAAAA4Nkn/LxYOp32fPwLL7zgZwkAAACAZ32bkq1boVBo0CUAAABgzA08FM/NzQ26BAAAAIw5X9sndnd3PR1fLpc7TuMGAAAAnBbPoXhpaUlf//rXlclk9Fu/9VtN+wzDYIo1AAAAjBzPoXh7e1u1Wk3FYrElFJumqUqlIsuyFAwGj7xOpVJRuVzWrVu3vJYAAAAA+MpzKC4UCsrlcorH4y37TNPU+vq6nnvuua6vd+HCBa8lAAAAAL7yHIpnZ2f10ksvtd0XiURkmqbn6wEAAACD5OuLdp3C8lGKxaKfJQAAAACeDXxKths3bgy6BAAAAIy5gYfiRCIx6BIAAAAw5rpun/A6B3E3mKcYAAAAw6DrUMwcxAAAADirug7FpmnKcRxFo1FJOnYe4uMwTzEAAACGhaeR4kwmo+eff97XApinGAAAAIPW9Yt28/Pzmp+f970A5ikGAADAoHU9Unzt2jVfbnj37l25rivDMPT0008zTzEAAAAG7tSnZNvZ2VG5XFY+n9eVK1d09+7d0y4BAAAAaOLrinbduHTpki5dutT4vLy8rM3NzZ6vVygUlM/nFQqF5LquJCmZTHq6huu6ymQyevDgQeNzpVLR6uqqwuFwz7UBAABgNJx6KD7orbfekuM4PZ+fy+W0ubmpbDbb2FYoFBSJRJTP57u6huu6Wltb0+rqqgzDaLr23Nyc8vm8LMvquUYAAAAMv760T7z55ptaWFjQhQsX9OSTT3b8isViPa9o57quVlZWtLGx0bTdsixVKhVlMpmurrO1taVMJtOyiEg0GpVhGLJtu6f6AAAAMDp8D8VXrlxRPB7X9va2ZmZmdOnSJQUCgUbbxOzsrGq1mi5duqRsNtvzFG9bW1syTbNpdLdueXlZ6XS6q+uYpilJjdYLAAAAjB9f2yfeeeedRjvD5cuXG9tffvllXb16tenYr3/96ydqnchmsx0XEDFNU6VSqTHLxVEsy9LOzk7bfa7r9mUaOgAAAAwXX0eKr169quvXrzcFYkltl4e+fPmyLl26pLfeequnexWLxcYo72H17ScJ3evr65JE+wQAAMAY8DUU19slDusUThcXF3Xz5s2e7tXNKHCvodh1XaXTaWWz2Y7B+6Dd3d2mr/39/Z7uCwAAgJPZ399vyWbd8LV9YmZmpu32+fl53bhxQ88++6yft+uoHpYPvzx3lPq0bOVyWZVKRfl8vqtALEkXL15s+vzKK6/o1Vdf7freAAAA8Mfa2ppee+01z+f5GoprtVrb7dFoVC+88ELbUDwsL7gZhtGY37hQKCiRSCiRSCgajR577r179zQ9Pd34PDk52bc6AQAA0Nnq6qpefPHFxufd3d2WAcx2fG2fWFhY0I0bNyRJN27c0Ouvvy5Jmp2dVblc1u/93u81HX/nzp2+LPNcD9qdXsQ7jmVZymazisViXU3tNj093fRFKAYAABiMycnJlmzWDV9Hii9fvqyXX35Zruvq+eefV7ValWmaeu6553T16lUtLS0pn88rGo02Fs2Ix+N+luAbwzAUjUaVSCS0tLR0bP8yAAAARpfv8xRfvXpVtVpNS0tLunz5cmM1uGg0qpWVFb399ttKJBJKJpOq1WpaXV3t6T6maXZ8ka7eS9xtT3AnCwsLkh63UwAAAODs6ssyz5cvX26Zlk2S0um0YrGYcrmcQqGQ4vF410Pah4XD4Y79yPWwHA6Hj73OzMxMo13isPro8EmmdgMAAMDw60soPoplWY3R45OIRCJKpVJt95XL5a7u4brukS/6lctlSScfcQYAAMBw87194rQsLS2pUqm0HcXN5XJKJBJN21zXbWmDMAxD8Xi87Six9Lhtot5bDAAAgLNr4KH4ypUrPZ1nGIY2NjZaVpzL5XIyTbMlyMZiMUUikZbZJGzbViKRaBkxzmQyKpVKun79ek/1AQAAYHScevvEYVtbW3rjjTd6OjcajcowDNm2rVAo1Ai2+Xy+5dhIJKJisaj5+fmm7aZpKp1ON8K167qqVCoKBoPa2dlh1gkAAIAx0JdQfPfuXRUKhWMX5iiXyydevKPbHuVkMtlYnKOdTv3JAAAAOPt8D8XLy8vK5XIdV7c7bGJiwu8SAAAAAE98DcUvv/yy8vm8XnrppcYcv53aD1zXVblc7nmeYgAAAMAvvobiQqGgO3fuKBAIdH1ON8soAwAAAP3k6+wTpml6CsSSWqZOAwAAAE6br6E4FAp5Puell17yswQAAADAM19Dcbcv1wEAAADDxNdQnEgkPL8499nPftbPEgAAAADPfA3Fs7OzWlpa0pUrV/Rnf/ZnXZ3z4MEDP0sAAAAAPPN9nuJQKKRAIKBwOCzp8ct3naZlcxxH1WrV7xIAAAAAT3wNxXfu3NH8/Lx2dnYa28rl8pHnsHgHAAAABs3X9gnbtjU3N6ft7W09evTo2K9KpdJxFBkAAAA4Lb6OFDuOo2Kx2PXxhmFoZmbGzxIAAAAAz3wdKZ6fn/d8Tjab9bMEAAAAwDNfQ3Evo76XLl3yswQAAADAM19DcTAY1N27dz2dc+PGDT9LAAAAADzzNRS/9NJLunr1qnZ3d7s+J5FI+FkCAAAA4Jnv8xRfu3atsapdJBKRaZoKBoNtjy2Xy6pUKn6XAAAAAHjiayh+4oknmuYdXl9f9/PyAAAAQF/4GopN05TjOLIsq6v5h8vlsm7duuVnCQAAAIBnvoZiwzCUy+X03HPPdX3OhQsX/CwBAAAA8Mz3eYpN0/R0zuzsrJ8lAAAAAJ75OlJ87do1z+d4WQEPAAAA6AdfR4oBAACAUeRrKP7617+uJ598Ul/5ylf8vCwAAADQV76G4s3NTdVqNZXLZT8vCwAAAPSV71Oy7ezsKBAI+HlZAAAAoK98HSl2XddzIF5eXvazBAAAAMAzX0Px1atXPYfcUqnkZwkAAACAZ74v3pHJZHTlyhWFQiFZliXTNDU9Pd32+Dt37qhSqfhZAgAAAOCZr6H4s5/9bOOfM5mMn5cGAAAA+sbXUFyr1eQ4jsLhsBYXF489vlwu6+7du36WAAAAAHjWl/aJ559/vutzLly44GcJAAAAgGe+vmhnmqbm5+c9nTMzM+NnCQAAAIBnvo4Ub21teT7n9u3bfpYAAAAAeOZrKG5nd3dXjuOoUqnINE09/fTT/b4lAGAIVKtV7e3tDbqMFh9//LE++clPDrqMJlNTUyx8BQxY30LxrVu3tLKy0jIPcSgUUiqV0r/4F/+iX7cGAAxYtVrV19Z/X/ffH65Q/HB/X//tr/6rPvdL/4N+6qd+atDlNDx1fkpfTf4uwRgYoL6E4hdeeKExJZthGAoGg5KkSqWi27dvKxqNKhaL6U/+5E/6cXsAwIDt7e3p/vt7OvdLv6apwPC8O/KD75bl3vpzffKz/1gXPvWZQZcjSdqr7uj+t7+lvb09QjEwQL6H4tXVVRWLReXz+bbTslWrVW1ubmp9fV1f/OIX9W//7b/1uwQAwJCYCszo/IWfG3QZDR/s3JcknRuyun446AIA+Dv7xDvvvKN8Pq9isdhxnuJAIKB4PK7bt2/r9u3bunXrlp8lAAAAAJ75OlKcyWR0/fr1ro/f2tpSIpHQ5uamn2XglH20/1DvvffeoMtowYsrAACgW76vaOclhBiGoZ2dHT9LwCl7/8N9/fm77+qPrq3p3Llzgy6nyeTPPKUvffmrBGMAAHAsX0NxLwtxmKbpZwk4ZR/tf6xP6CN94dI5/cKnf3bQ5TQ8cD/Un5bu8+IKAADoiq+h2HVdz+cwUnw2BANT+vmnzg+6jEOGayooAAAwvHx90a5Wq+k73/lO18ffunWLZZ4BAAAwcL6OFCeTSVmWpVKppPPnjx41vHPnjhYXF7W9ve1nCQAAAIBnvoZi0zS1tramp59+WolEQktLSzJNU9PT05IeL/lcLBaVTqeVy+V07dq1Ey/7XCgUlM/nFQqFGu0byWTS83UymYzK5bJKpZIqlYosy1IqlTpRbQAAABgNvi/eEY1GValU9MILL3QMlbVaTalUSisrKye6Vy6X0+bmprLZbGNboVBQJBJRPp/v+jq2bSuRSCgej0t63Bsdi8U0MzOjO3fuyDCME9UJAACA4eZrT3FdPB5XpVLR888/r0AgoFqt1vi6fPmyyuWyXnrppRPdw3VdraysaGNjo2m7ZVmqVCqNZaaPk8vltLy83DQLhmEYymazjXAMAACAs60voVh6HCzT6bQqlYoePXqknZ0dPXr0SFtbW5qdnT3x9be2tmSaZttR3OXlZaXT6a6uc/PmTYXD4ZbthmEoHo+rUCj0NKsGAAAARkffQvFhfs8Vm81mFQwG2+4zTVOlUqmrMJvJZBSJRNrum5ubkyQVi8We6wQAAMDw6zoU37hxo591eFYsFjsu/FHf7jjOsdeZn5/vuK8eqjuFbwAAAJwNXb9oF4lE9OMf/7iftXjiuu6xL8A5jtO2NeKgo17IK5fLknTsNQAAADDauh4pDgQC+sY3vtHPWnxTD8uVSuVE18lkMo0ZKY6yu7vb9LW/v3+i+wIAAKA3+/v7LdmsG56mZItGo7IsS4ZheG4pqNVqkqSJiYmWfW+88Yana50G27ZlmmZXcxVfvHix6fMrr7yiV199tU+VAQAAoJO1tTW99tprns/zFIovX76sVCrV8+wRd+7cUSwW0zvvvKNarSbTNLueOs2Lk/YCl0olZTIZbW9vdzVH8b179xoLlEjS5ORkT/cFAADAyayururFF19sfN7d3W0ZwGyn61Dsuq7efPPNpvDntcD19fXGiHEqlTrxXMX9EovFdP369Y4v8h02PT3d888FAAAA/pmcnOxpgLLrUByNRnsKfjdu3FAikZDjOKrVaopGo9rY2DjxFG2maXacXaLeS9xtqD0oEokonU7zch0AAMAY6ToUb21tebrw3bt3lUgkVCgUGq0S6XRai4uLnotsJxwOd5yHuB6WvQbbRCIh27ZlWdZJywMAAMAI6cviHa+//rpCoZDy+bxqtZrW19d1+/Zt3wKx9HhEt9NIcblc9hxs19fXFYvFWs5zHEeFQqHnOgEAADD8PL1od5zDrRKWZSmdTvuyrPNhS0tLsm1bjuO0tEnkcrmWWSNc11WxWGwblnO5nMLhcNt9pVKJVgoAQ69arWpvb2/QZTS89957evjw4aDLAICu+RKKd3d3tbKyolwu15dWiXYMw9DGxoZs21Y2m21sz+VyMk1T0Wi06fhYLKZCoaB0Ot0093CpVFI6nVYsFmuaCaPemrG5uant7e2+fR8AcFLValVfW/993X9/eELx3ocf6C//+rYu/JN/PuhSAKArJw7Fr7/+umzblvR4LmLbtrW2tnbiwroRjUZlGIZs21YoFGoE2Xar1EUiERWLxZZlnRcXF+W6bscWiV5e1gOA07S3t6f77+/p3C/9mqYCM4MuR5L06Ltl7f/FX+njH/1o0KUAQFd6DsWn2SpxFMuyuuofTiaTSiaTLdt3dnb6URYAnLqpwIzOX/i5QZchSfpg5/6gSwAATzyH4sOtEoZhKJvN9rVVAgAAAOgnT7NPvP7665qZmWkEYtu2ValUThSIr1y50vO5AAAAgB+6DsULCwuybVu1Wk2Li4sql8sn7h2uVqt9WeYZAAAA8KLr9ont7W3NzMxoY2NDzz333IlvXG/DAAAAAAbNU0/x4uKi/uRP/kSbm5snvvHOzo4KhYImJiZOfC0AAADgJLoOxRMTE56Xej5OLpfT8vKyr9cEAAAAvOq6pzgQCPh+82g0qlqt5vt1AQAAAC+6DsUHV43zU7uFNgAAAIDT1HUo7tc8xMxvDAAAgEHzNE8xAAAAcBYRigEAADD2CMUAAAAYe4RiAAAAjD1CMQAAAMYeoRgAAABjj1AMAACAsUcoBgAAwNj7xKALAABg3D3c39d777036DJaTE1NKRAIDLoM4FQQigEAGKD9vQ/07rvv6l/9wZuaOjc16HKaPHV+Sl9N/i7BGGOBUAwAwAB9vP+RPno0oXO/+Ku68KnPDLqchr3qju5/+1va29sjFGMsEIoBABgC5wIzOn/h5wZdRpMfDroA4BTxoh0AAADGHqEYAAAAY49QDAAAgLFHKAYAAMDYIxQDAABg7BGKAQAAMPYIxQAAABh7hGIAAACMPUIxAAAAxh6hGAAAAGOPUAwAAICxRygGAADA2CMUAwAAYOwRigEAADD2CMUAAAAYe4RiAAAAjD1CMQAAAMYeoRgAAABjj1AMAACAsUcoBgAAwNgjFAMAAGDsEYoBAAAw9gjFAAAAGHuEYgAAAIy9Twy6gJMqFArK5/MKhUJyXVeSlEwme7qW67qybVuGYSiVSvlYJQAAAIbZSIfiXC6nzc1NZbPZxrZCoaBIJKJ8Pt/1dWzbluM4WlhYUKFQkGVZ/SgXAAAAQ2pk2ydc19XKyoo2NjaatluWpUqlokwm0/W1UqmUstmsksmkDMPwuVIAAAAMu5ENxVtbWzJNs22IXV5eVjqdPv2iAAAAMJJGNhRns1kFg8G2+0zTVKlUavQYAwAAAEcZ2VBcLBZlmmbbffXtjuOcZkkAAAAYUSMbil3XPbb/l1AMAACAboz07BOd1MNypVI5lfvt7u42fZ6cnNTk5OSp3BsAAAA/sb+/r/39/cbnwzmtk5EdKR4mFy9eVCAQaHytra0NuiQAAICxtLa21pTLLl682NV5Z3KkuP6CXacX8fx27949TU9PNz4zSgwAADAYq6urevHFFxufd3d3uwrGZzIUn7bp6emmUAwAAIDB6LWNdWTbJ0zT7PgiXb2XuNPsFAAAAMBBIxuKw+Fwx3mI62E5HA6fYkUAAAAYVSMbiiORSMeR4nK5LMuyTrkiAAAAjKqRDcVLS0uqVCptg3Eul1MikWja5rquCoXCaZUHAACAETKyodgwDG1sbMi27abtuVxOpmkqGo02bY/FYopEIspkMkde13XdU5vfGAAAAMNhpGefiEajMgxDtm0rFAo1eozz+XzLsZFIRMViUfPz8y371tfXdfPmTTmO0/iKRCIyDEPLy8stARsAAABny0iHYkmyLKur/uFkMqlkMtlxHwAAAMbXyIdiADhN1WpVe3t7gy6jyXvvvaeHDx8OugwAGGmEYgDoUrVa1dfWf1/33x+uULz34Qf6y7++rQv/5J8PuhQAGFmEYgDo0t7enu6/v6dzv/RrmgrMDLqchkffLWv/L/5KH//oR4MuBQBGFqEYADyaCszo/IWfG3QZDR/s3B90CQAw8kZ2SjYAAADAL4RiAAAAjD1CMQAAAMYeoRgAAABjj1AMAACAsUcoBgAAwNgjFAMAAGDsMU8xzqyP9h/qvffeG3QZTaamphQIBAZdBgAAOIRQjDPp/Q/39efvvqs/uramc+fODbqchsmfeUpf+vJXCcYAAAwZQjHOpI/2P9Yn9JG+cOmcfuHTPzvociRJD9wP9ael+9rb2yMUAwAwZAjFONOCgSn9/FPnB13GAXuDLgAAuvZwf3/o2tAkWtHQH4RiAADQYn/vA7377rv6V3/wpqbOTQ26nCZPnZ/SV5O/SzCGrwjFAACgxcf7H+mjRxM694u/qguf+sygy2nYq+7o/re/RSsafEcoBgAAHZ0LzOj8hZ8bdBlNfjjoAnAmMU8xAAAAxh6hGAAAAGOPUAwAAICxRygGAADA2CMUAwAAYOwRigEAADD2CMUAAAAYe4RiAAAAjD1CMQAAAMYeoRgAAABjj1AMAACAsUcoBgAAwNgjFAMAAGDsEYoBAAAw9gjFAAAAGHuEYgAAAIw9QjEAAADGHqEYAAAAY49QDAAAgLH3iUEXAACdVKtV7e3tDbqMhvfee08PHz4cdBkAgD4gFAMYStVqVV9b/33df394QvHehx/oL//6ti78k38+6FKAsfZwf1/vvffeoMtoMjU1pUAgMOgycAKEYgBDaW9vT/ff39O5X/o1TQVmBl2OJOnRd8va/4u/0sc/+tGgSwHG1v7eB3r33Xf1r/7gTU2dmxp0OQ1PnZ/SV5O/SzAeYYRiAENtKjCj8xd+btBlSJI+2Lk/6BKAsffx/kf66NGEzv3ir+rCpz4z6HIkSXvVHd3/9re0t7dHKB5hhGIAADByzg3RL8yS9MNBF4ATIxQDp+ij/YdD1wcn0QsHAAChGDgl73+4rz9/91390bU1nTt3btDlNJn8maf0pS9/lWAMABhbhGLglHy0/7E+oY/0hUvn9Auf/tlBl9PwwP1Qf1q6Ty8cAGCsEYqBUxYMTOnnnzo/6DIOGZ5pzwAAGISRD8WFQkH5fF6hUEiu60qSksnkwK4DAACA0TPSoTiXy2lzc1PZbLaxrVAoKBKJKJ/Pn/p1AAAAMJqeGHQBvXJdVysrK9rY2GjablmWKpWKMpnMqV7nNOzv7+v/+X9v6eHHLByA7uw//JGuvvlN7T/kmUF3fvTwof7z//6/6UcsZ40u8LzAq/39fb366qva398fdCktRnakeGtrS6ZpyjCMln3Ly8tKp9OKx+Ondp3T8PDhQ33rv/yZHn78Pw26FIyI/Y9/pPV/95/1xf/ln2ryp0b2P3ecoh9//FD/93/4A/3T535Tn/ipnxp0ORhyPC8/MYxLT0vDN+Xm/v6+XnvtNb344ouanJwcdDlNRvb/ktlsVsFgsO0+0zRVKpXkum7bsNuP6xz2B3/wB/rt3/7tnvYfd+4oePPr/0XPX/7HI3GPXq7j5Zxujz3uuKP2n/RnMQzzJ//7f//v9Zu/+ZuNz++9954e+jyS8P/9n/9Bv/I//68nukb1vb/t+727Pfa4447a78fPYtBO43vw4x69XoNnxn/9+h4OLj393b/5K/3i/xg+0fX+6t1ST9dod975Tz6h34n/pqanp5u2H/4zt5Pjjjtqf7t977///rH3HJSRDcXFYlFLS0tt95mmKUlyHEfh8NEPlV/XOYxQfPMUQrE/9+jlOl7O6fbY4447av9JfhbDMn9y+o/+oz78wX9rfP7hD3+ou3/hKLjw676tWnXzP/0fPoTiv+v7vbs99rjjjtrvx89i0E7je/DjHr1eg2fGf/36Hg4uPf03/9d/0q/GXznR9f7m61s9XePweTt//7f6Zjaj93Y/0NS5qaZj/+Mf/zv9t793j73mcccdtb/dvocPHw92VKvVlqA+aCMbirsZve0mzJ7kOrVaTZL0d3/3d9rd3W1sn5yc1I9//OOmbYcdtb/Tvg8++ECS9Nd3vq8PPhyOKbTKf/tAH+0/1N/c+Xt9sPeTnrL9/Y9169vf7eu9j7pHp7q8XsePc+rHHlfTcdc8an+nfR/+8PF9/vyv/1Y/fa79X22W//aBfrS/q2eCu/rZC4N7zeAffKKmX/7MT0aGf/BgV9/6yNW9b/+ZPnQrvtzj449+qO/8ebHn8yvfv6fao0f6+9t/qX33Qd/u3e2x9eMq37+nhz/8oKWuo67Tad/Djx7/2fLd/1rST/2DqZb93epUk596+ffpta6TPjPdXKOXf3+91nnccQf3H66r3bl+PS9enOTZ8uPf51E1VX/wPf34Rx+r8r2T/f+v12scPq/y/Xva/fBD7U4+pYnAU03H1p74hH4Y+IVjr3nccUftb7fvg//+7+wHP/hB39o69vf3m3qW66PT9dzWUW1ESaolk8m2+8rlck1SLZ1O9/U69+7dq0niiy+++OKLL7744mvIv+7du3dkJhzZkeJh8OlPf1rlclmf/OQnNTEx0dg+OTk5dM3jAAAA4+DwSHGtVtPHH3+sT3/600eedyZDcX3xjU4v0Pl1nSeeeKLRdzzM1tfXJUnlclmO4yidTo9E3Rgc13VVKBRk27bK5fKgy8GQODhFZblc1urqqueXkDFe+LMEXg0ys5zJUIyfsG276X9cuVxOoVBI5XKZYIy2SqWSisWigsGgHMcZdDkYErlcTvl8vrHIkeu6Wlxc1Pb29oArw7DizxJ4NejMMrKLd5im2fE/skql0jjmtK4zrAqFQuP7kKRoNCrDMJROpwdYFYZZOBxWPB73POMKzra1tTWtrq42PhuGoWAwqEKhMMCqMMz4swReDTqzjGwoDofDjfaGw+oht5v/EP26zjByXVeO47SE/mAw2PF7BoDDXNdVqVRqGSAwTbMxcgwAJzEMmWVk2ycikYhSqVTbfeVyWZZlnep12nFdV7ZtyzCMjveQHv9mlM/nFQqFGv/ik8lkz/etMwxDOzs7Ldsdx9Hc3NyJrw//DfqZwdni1/NU/5/U4f5hwzBUKpV8rxuDw59B8MqvZ2YYMsvIhuKlpSXZti3HcVpGL3K5XMu/GNd1VSwWW0Ku1+t0o369hYUFFQqFI4N1LpfT5uZm02hLoVBQJBJRPp/3fO/jZDIZmaY5NEtX47FhfmYwevx+ng7+deZhR+3D6ODPIHh1Gs/MqWeWYyfyHWLZbLYWjUZbtlmW1XKsZVk1qf2cw16u41U4HK7F4/G2+3Z2dmqGYdR2dnbantfNPMte1O9XLpd9vS78NSzPTH2ebow2P56nfD5fk9RyXDKZrIXDYb9LxoD5/WcQf5acff34/9YgMsvIjhRLP2nAtm27aTi+3W8dkUhExWJR8/PzJ7qOn7a2tmSaZtspjZaXl5VOpxu/HRUKha4bzTv1+K2srOj69esj/eLguDvtZwZnW7fPU6dpKV3XPfHUlxgtXv4MAqTen5lBZJaRDsWSZFlWV32/yWTyyH6nbq/jp2w22/F/KKZpqlQqNZahPml99WlORvWlQTx2ms8Mzr5un6f6/5QqlUrT/9gqlQp/powZL38GAVJvz8ygMsvIzj5xFhSLxY6/AdW3+zG3Yy6XUyQSaXq4Dk7Cj9FxWs8MxkO3z5NhGAqHwy3PluM4ikQifa8Tw4M/g+CV12dmkJmFUDxA3fw2fdI/XAqFgm7evKlgMKhSqaRSqaRcLneia2JwTuOZOXgvnG1enqfV1dWmNpv688HfRoyXXv4M4s+S8eblmRl0Zhn59omzqv4AneTNbtd1FYvF5LpuY9nEOt4QPnv8eGakx3841Vcvk6RYLKaFhQXF43H+SnSMHH6eotGoKpWKMpmMgsGgbt68qevXrw+wQgybw88Mf5bgOAefmWHILITiM6zTnH/AUUzTPLYHH+Pp4Msw0Wh0gJVgFPBnCbwYhsxC+8SQqv91E292o1s8M/ATzxO84pmBV8P2zBCKAQAAMPYIxQNkmmbHl6LqPVnMKYyDeGbgJ54neMUzA69G6ZkhFA9QOBzu+FZu/QFiDlAcxDMDP/E8wSueGXg1Ss8MoXiAIpFIx9+eyuUyUx2hBc8M/MTzBK94ZuDVKD0zhOIBWlpaUqVSafuw5HI5JRKJAVSFYcYzAz/xPMErnhl4NUrPDKG4z1zX7ThvrGEY2tjYkG3bTdtzuZxM02TKozHFMwM/8TzBK54ZeHVWnpmJWq1WG3QRZ836+rpu3rwpx3FUKpUkPV71yTAMLS8vtzwAhUJB+XxeoVCo0XfDvI7jhWcGfuJ5glc8M/DqLD4zhGIAAACMPdonAAAAMPYIxQAAABh7hGIAAACMPUIxAAAAxh6hGAAAAGOPUAwAAICxRygGAADA2CMUAwAAYOwRigEAADD2CMUAcIasr69rYmKi8TU3NzfokgbCtu2mn0MkEhl0SQCGHKEYAM4Yy7JULpdVLpeVzWYHXc5ArK6uNn4GyWRy0OUAGAGfGHQBAAB/GYYh0zSbtiUSCRWLRbmuK8dxVKvVBlTd6TAMQ4ZhSJJCoZBKpdJgCwIw9BgpBoAxkEgklEgk5DjOoEsBgKFEKAaAHpVKJSUSiUGX0ZVwOKx4PC7LsgZdCgAMJUIxAPQoFospk8mM1F/N11sKAADNCMUA0IN6b670eBQWADDaCMUA0INCoSCJQAwAZwWhGAB6kM/nJYkeXQA4IwjFANCD+kgxi0IAwNlAKAYAjw72EzNSDABnA4t3AMAxHMfR3NycXNdt2TcxMdH452QyqVQqdYqVndz6+roePHgg13VVLBZlmqY2NjaOnaXCcZzG92oYRuNnk0gk2vZZH148ZGdnp+kejuMokUioUqnIcRyZpqnt7e2ma8RiMTmO07hXuVyW67qybVuGYchxHC0vLysajfb88wAwvgjFAHAM0zS1s7PT+JxIJJTJZEYyBNfVw6Rt202r30UiEc3OzurOnTsdg3Eul5Nt28rn803nuq6rxcVFWZbV8nOJxWKam5vrOK+zaZqybVvZbLbjFHerq6sqFotKJBIyTVOu62plZUXZbFau62pmZka5XO7Mr9YHoD9onwAAj85CP7Ft20qlUi3LQadSKbmuq0wm0/a8TCajlZUVbW9vt5xrGIa2t7dVKBRawq9lWYrH40eO4lqWpXQ63XF/fQGS+kh0PUTX7x2NRpVMJjt/0wBwBEaKAcCDXvuJ63/1XyqVZBiG5ufnm0ZiXddVpVJpjJKm02nF43Ffaz/IMIy2I8H1wJnP51sCpuu6SiQSSiaTR7ZXpFIpRSKRjq0UJxUMBlUqlRQKhZq21wMyAPSCUAwAHmxtbUny/oJdvS1gbm5OlmV1DHD1/uVgMHjiWo9y3Ch3pVJp2WbbtiRpeXn5yHPrP5v6iHK/8JIjAD/RPgEAHtTnJ+6ldaLednFUqDRNU/F4vKU1wW+9XL/+C0E35xqGoVKp1PblRL/0+2cEYLwQigHAg3qw7WWUstsFPy5cuND3wNfLSHQ94B43M8XB69dbTfqhmzoAoFuEYgDo0sHpwHrplS0UCjJNsyXMHQ6ODx48GLrA1+uIb7s2DAAYRoRiAOhSLpeT1Nsocf0FunbnHp5xYXV1tYfq+uvwS4HHqYdhWhwAjApCMQB0qd7+EIvFWvYd12PcaRq3XC6nCxcuNG0btlHiuvp0asVi8cjjXNeV67oyTdNzKO5nDzIAHIVQDABdqofBw6O9uVzu2FBcD9TpdFqxWEyRSERzc3OKxWIjM4tCfUGOo+YSln7yQl67hU2O62Wu//IAAKeNKdkAoEv1UczDq7il0+lG6O2kvoTywePq06/1Yy7ffjBNU6lUSrZtN5ZibieVSikajbZdqGNubk7S4++93fedz+eHdqQcwNnGSDEAdKke8urh2HGcxjLDR6lPTXZ4RNg0TS0tLfWl1k7qL/V1mhXi4PfWTjKZVDqd1tzcXMtyzK7rKhKJHDkP89LSkgzD0NraWsu++rLT0uOfWaFQaNtOcdz3AAC9YKQYALqUzWaVSCQUi8VkGIaCwaA2NjaOHdk8alnow9symYwsy/L9BbW5ubmm2TMWFxcVDAaVTqdlWZZKpZJisVjjBTnXdTUzM6NgMKhyudx0rXg8LsuylEqlVKlUFAwG5TiODMNQKpU6cuTbMAzduXNHtm0rEok0zcaxurra+GfDMJRIJBpLR0tSKBRSpVJpfA/1RU7C4TCr2QE4sYlarVYbdBEAcJZFIhEVCgXt7OwcG6ATicSxPbtHWV9f182bNwmJB2QyGWWz2WNbXACMN9onAKDP6v3ExwXibl7YAwD0B+0TANBH9ZaF43qHHceRbdstrQoAgNPBSDEA9FG9FeKoEeD6CHEikTitsgAAhzBSDAB9YNt2YwYFSVpbW9Pm5mZjv+u6qlQqTS+/xePxQZQKABChGAD6ot3CFQCA4UX7BAAAAMYeoRgAzphcLqeJiQlNTEw0VpAbN7ZtN34G9GoD6AbzFAPAGVLvVT7I74VARgE/BwBeEYoBAAAw9mifAAAAwNgjFAMAAGDsEYoBAAAw9gjFAAAAGHuEYgAAAIw9QjEAAADGHqEYAAAAY49QDAAAgLH3/wPOipQD93oKUgAAAABJRU5ErkJggg==", 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", "text/plain": [ "
" ] @@ -1518,7 +1518,7 @@ "#With extended mass function, but cuts on t_duration at low and high\n", "def plot_ffp_histograms(data_structure, nick_ffp_tes_data, num_samples=10000, num_bins=20):\n", " # bins = np.logspace(-2.5, 2, num_bins)\n", - " bins = np.logspace(-2, 2, num_bins)\n", + " bins = np.logspace(-2, 2.5, num_bins)\n", "\n", "\n", " for p_val, nick_ffp_tes_sampled in nick_ffp_tes_data.items():\n", @@ -1543,7 +1543,7 @@ " bin_counts, bin_edges = np.histogram(samples, bins=bins)\n", " plt.bar(bin_edges[:-1], bin_counts/np.sum(bin_counts), width=np.diff(bin_edges), align=\"edge\", edgecolor=\"black\", label=f'LensCalcPy', alpha=0.5)\n", " # plt.axvline(np.median(samples), linestyle=\"--\", alpha=0.5)\n", - " # plt.title(\"Unbound Exoplanet Yield\")\n", + " plt.title(\"p = \" + str(p_val))\n", " \n", " # Plotting for Popsycle data\n", " bin_counts_popsycle_sampled, bin_edges_popsycle_sampled = np.histogram(nick_ffp_tes_sampled, bins=bins)\n", diff --git a/examples/t_e_samples.ipynb b/examples/t_e_samples.ipynb index 2ee9c50..1e2c00a 100644 --- a/examples/t_e_samples.ipynb +++ b/examples/t_e_samples.ipynb @@ -23,7 +23,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 125, "metadata": {}, "outputs": [], "source": [ @@ -32,7 +32,12 @@ "gamma_func_ffp = pickle.load(open(\"interps/gamma_func_ffp_finite.p\", \"rb\"))\n", "gamma_func_pbh = pickle.load(open(\"interps/gamma_func_pbh_finite.p\", \"rb\"))\n", "\n", - "gamma_func_pbh_sigma = pickle.load(open(\"interps/gamma_func_pbh_finite_sigma.p\", \"rb\"))" + "gamma_func_pbh_sigma = pickle.load(open(\"interps/gamma_func_pbh_finite_sigma.p\", \"rb\"))\n", + "gamma_func_pbh_finite_sigma_15 = pickle.load(open(\"interps/gamma_func_pbh_finite_sigma_15.p\", \"rb\"))\n", + "gamma_func_pbh_finite_sigma_10 = pickle.load(open(\"interps/gamma_func_pbh_finite_sigma_10.p\", \"rb\"))\n", + "gamma_func_pbh_finite_sigma_05 = pickle.load(open(\"interps/gamma_func_pbh_finite_sigma_05.p\", \"rb\"))\n", + "gamma_func_pbh_finite_sigma_01 = pickle.load(open(\"interps/gamma_func_pbh_finite_sigma_01.p\", \"rb\"))\n", + "gamma_func_pbh_finite_sigma_all = pickle.load(open(\"interps/gamma_func_pbh_finite_sigma_all.p\", \"rb\"))\n" ] }, { @@ -155,7 +160,7 @@ }, { "cell_type": "code", - "execution_count": 87, + "execution_count": 113, "metadata": {}, "outputs": [], "source": [ @@ -208,12 +213,12 @@ }, { "cell_type": "code", - "execution_count": 96, + "execution_count": 127, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", "text/plain": [ "
" ] @@ -233,17 +238,37 @@ "\n", "colors = sns.color_palette(\"colorblind\", len(m_arr))\n", "for i, m in enumerate(m_arr):\n", - " # sampled_t_es = sample_t_pbh(m, ts_sample, gamma_func_pbh, n_samples=1000)\n", - " sampled_t_es_sigma = sample_t_pbh_sigma(m, ts_sample, gamma_func_pbh_sigma, 0.1, n_samples=10000)\n", - " sampled_t_es_sigma_wide = sample_t_pbh_sigma(m, ts_sample, gamma_func_pbh_sigma, 1.5, n_samples=10000)\n", - " \n", - " bin_counts, bin_edges = np.histogram(sampled_t_es_sigma, bins=bins)\n", - " bars = plt.bar(bin_edges[:-1], bin_counts/np.sum(bin_counts), width=np.diff(bin_edges), align=\"edge\", edgecolor=\"black\", label=f' LCP, Finite, m={m:.1e}, $\\sigma=0.1$', alpha=0.5, color='blue')\n", - " plt.axvline(np.median(sampled_t_es_sigma), linestyle=\"--\", alpha=0.5, color='blue')\n", + " sampled_t_es = sample_t_pbh(m, ts_sample, gamma_func_pbh, n_samples=1000)\n", + " # sampled_t_es_sigma = sample_t_pbh_sigma(m, ts_sample, gamma_func_pbh_sigma, 0.1, n_samples=10000)\n", + " # sampled_t_es_sigma_15 = sample_t_pbh_sigma(m, ts_sample, gamma_func_pbh_finite_sigma_15, 1.5, n_samples=10000)\n", + " # sampled_t_es_sigma_10 = sample_t_pbh_sigma(m, ts_sample, gamma_func_pbh_finite_sigma_10, 1.0, n_samples=10000)\n", + " # sampled_t_es_sigma_05 = sample_t_pbh_sigma(m, ts_sample, gamma_func_pbh_finite_sigma_05, 0.5, n_samples=10000)\n", + " # sampled_t_es_sigma_01 = sample_t_pbh_sigma(m, ts_sample, gamma_func_pbh_finite_sigma_01, 0.1, n_samples=10000)\n", + " sampled_t_es_sigma_15 = sample_t_pbh_sigma(m, ts_sample, gamma_func_pbh_finite_sigma_all, 1.5, n_samples=10000)\n", + " sampled_t_es_sigma_10 = sample_t_pbh_sigma(m, ts_sample, gamma_func_pbh_finite_sigma_all, 1.0, n_samples=10000)\n", + " sampled_t_es_sigma_05 = sample_t_pbh_sigma(m, ts_sample, gamma_func_pbh_finite_sigma_all, 0.5, n_samples=10000)\n", + " sampled_t_es_sigma_01 = sample_t_pbh_sigma(m, ts_sample, gamma_func_pbh_finite_sigma_all, 0.1, n_samples=10000)\n", + "\n", + "\n", + " bin_counts, bin_edges = np.histogram(sampled_t_es, bins=bins)\n", + " bars = plt.bar(bin_edges[:-1], bin_counts/np.sum(bin_counts), width=np.diff(bin_edges), align=\"edge\", edgecolor=\"black\", label=f' LCP, Finite, m={m:.1e}, mono', alpha=0.5, color='blue')\n", + " plt.axvline(np.median(sampled_t_es), linestyle=\"--\", alpha=0.5, color='blue')\n", "\n", - " bin_counts, bin_edges = np.histogram(sampled_t_es_sigma_wide, bins=bins)\n", + " bin_counts, bin_edges = np.histogram(sampled_t_es_sigma_15, bins=bins)\n", " bars = plt.bar(bin_edges[:-1], bin_counts/np.sum(bin_counts), width=np.diff(bin_edges), align=\"edge\", edgecolor=\"black\", label=f' LCP, Finite, m={m:.1e}, $\\sigma=1.5$', alpha=0.5, color='orange')\n", - " plt.axvline(np.median(sampled_t_es_sigma_wide), linestyle=\"--\", alpha=0.5, color='orange')\n", + " plt.axvline(np.median(sampled_t_es_sigma_15), linestyle=\"--\", alpha=0.5, color='orange')\n", + "\n", + " bin_counts, bin_edges = np.histogram(sampled_t_es_sigma_10, bins=bins)\n", + " bars = plt.bar(bin_edges[:-1], bin_counts/np.sum(bin_counts), width=np.diff(bin_edges), align=\"edge\", edgecolor=\"black\", label=f' LCP, Finite, m={m:.1e}, $\\sigma=1.0$', alpha=0.5, color='green')\n", + " plt.axvline(np.median(sampled_t_es_sigma_10), linestyle=\"--\", alpha=0.5, color='green')\n", + "\n", + " bin_counts, bin_edges = np.histogram(sampled_t_es_sigma_05, bins=bins)\n", + " bars = plt.bar(bin_edges[:-1], bin_counts/np.sum(bin_counts), width=np.diff(bin_edges), align=\"edge\", edgecolor=\"black\", label=f' LCP, Finite, m={m:.1e}, $\\sigma=0.5$', alpha=0.5, color='red')\n", + " plt.axvline(np.median(sampled_t_es_sigma_05), linestyle=\"--\", alpha=0.5, color='red')\n", + "\n", + " bin_counts, bin_edges = np.histogram(sampled_t_es_sigma_01, bins=bins)\n", + " bars = plt.bar(bin_edges[:-1], bin_counts/np.sum(bin_counts), width=np.diff(bin_edges), align=\"edge\", edgecolor=\"black\", label=f' LCP, Finite, m={m:.1e}, $\\sigma=0.1$', alpha=0.5, color='purple')\n", + " plt.axvline(np.median(sampled_t_es_sigma_01), linestyle=\"--\", alpha=0.5, color='purple')\n", "plt.xscale(\"log\")\n", "\n", "plt.xlabel(r'$t$ [hours]')\n", diff --git a/examples/tesstimates.ipynb b/examples/tesstimates.ipynb new file mode 100644 index 0000000..550b96c --- /dev/null +++ b/examples/tesstimates.ipynb @@ -0,0 +1,288 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "import pandas as pd\n", + "import seaborn as sns" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [], + "source": [ + "plt.style.use(\"style.mplstyle\")\n", + "sns.set_palette(\"colorblind\")" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [], + "source": [ + "tess_df = pd.read_csv('tess_dat/tesstimate.csv', header=None)\n", + "ogle_df = pd.read_csv('tess_dat/ogle_zone.csv', header=None)" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [], + "source": [ + "m_vals_tess = tess_df.values[:,0]\n", + "f_bound_vals_tess = tess_df.values[:,1]" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [], + "source": [ + "m_vals_ogle = ogle_df.values[:,0]\n", + "f_bound_vals_ogle = ogle_df.values[:,1]" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#General options\n", + "plot_SGWB_range = True\n", + "\n", + "#Default values, overridden if you pass in command line arguments\n", + "# listfile_default = \"listfiles/bounds_microlensing.txt\" \n", + "outfile_default = \"plots/PBHbounds_microlensing_square.pdf\"\n", + "\n", + "listfile= 'bounds_microlensing.txt'\n", + "outfile = outfile_default\n", + "\n", + "alpha_val = 0.15\n", + "\n", + "bounds = np.loadtxt(listfile, usecols=(0,), dtype=str)\n", + "colors = np.loadtxt(listfile, usecols=(1,), dtype=str)\n", + "lines = np.loadtxt(listfile, usecols=(2,), dtype=str)\n", + "xlist = np.loadtxt(listfile, usecols=(3,))\n", + "ylist = np.loadtxt(listfile, usecols=(4,))\n", + "anglist = np.loadtxt(listfile, usecols=(5,))\n", + "labellist = np.loadtxt(listfile, usecols=(6,), dtype=str)\n", + "\n", + "Mgrid = np.geomspace(1e-12, 1e5, 1000)\n", + "envelope = 1.0 + 0.0*Mgrid\n", + "\n", + "def addConstraint(boundID, col='gray',x = 1e-30,y=1e-4,ang=0, linestyle='-', labeltext=''):\n", + " m, f = np.loadtxt('bounds/' + boundID + '.txt', unpack=True)\n", + " if (boundID != \"OGLE-hint\"):\n", + " plt.fill_between(m , np.clip(f, 0,1), 1, alpha=alpha_val, color=col)\n", + " linewidth = 1.0\n", + " if (boundID in [\"Microlensing\", \"Evaporation\"]):\n", + " linewidth=2.0\n", + " plt.plot(m, np.clip(f, 0,1), color=col, lw=linewidth, linestyle=linestyle)\n", + " \n", + " if (x > 1e-20):\n", + " plt.text(x, y, labeltext.replace(\"_\", \" \"), rotation=ang, fontsize=12, ha='center', va='center')\n", + " \n", + " interped_lim = np.interp(Mgrid, m, np.clip(f, 0,1), left=1, right=1)\n", + " envelope[interped_lim < envelope] = interped_lim[interped_lim < envelope]\n", + " \n", + "\n", + "#------------------------------------------- \n", + " \n", + " \n", + "plt.figure(figsize=(8,6))\n", + "\n", + "ax = plt.gca()\n", + "ax.set_xscale('log')\n", + "ax.set_yscale('log')\n", + "ax.xaxis.tick_bottom()\n", + "ax.xaxis.set_tick_params(pad=5)\n", + "\n", + "for i in range(len(bounds)): \n", + " addConstraint(bounds[i], col = colors[i], x = xlist[i], y = ylist[i], ang=anglist[i], linestyle=lines[i], labeltext=labellist[i])\n", + "\n", + "\n", + "\n", + "#Plotting stuff\n", + "plt.axhspan(1, 1.5, facecolor='grey', alpha=0.5)\n", + " \n", + "plt.ylim(1e-3, 1)\n", + "\n", + "xmin = 1e-12\n", + "xmax = 1e4\n", + "plt.xlim(xmin, xmax)\n", + "\n", + "ticks_minor = np.geomspace(1e-18, 1e4, 23)\n", + "ticks_minor = ticks_minor[(xmin <= ticks_minor) & (ticks_minor <= xmax)]\n", + "#print(ticks_minor)\n", + "ax.set_xticks(ticks_minor,minor=True)\n", + "ax.set_xticklabels([], minor=True)\n", + " \n", + "ax.set_xlabel(r'$M_\\mathrm{PBH}$ [$M_\\odot$]')\n", + "plt.ylabel(r'$f_\\mathrm{PBH} = \\Omega_\\mathrm{PBH}/\\Omega_\\mathrm{DM}$')\n", + "\n", + "# ax_top = ax.twiny()\n", + "# ax_top.xaxis.tick_top()\n", + "# ax_top.set_xscale('log')\n", + "# ax_top.set_xlim(ax.get_xlim())\n", + "# ax_top.set_xlabel(r'$M_\\mathrm{CO}$ [g]', labelpad=7)\n", + "\n", + "g_to_Msun = 1/1.989e+33\n", + "\n", + "g_ticks_minor = np.geomspace(1e15, 1e37, 23)\n", + "g_ticks_minor = g_ticks_minor[(xmin < g_to_Msun*g_ticks_minor) & (g_to_Msun*g_ticks_minor < xmax)]\n", + "g_ticks = g_ticks_minor[::3]\n", + "\n", + "\n", + "# g_tick_labels = [r\"$10^{\" + str(int(np.log10(x))) +\"}$\" for x in g_ticks]\n", + "\n", + "# ax_top.set_xticks(g_ticks*g_to_Msun)\n", + "# ax_top.set_xticklabels(g_tick_labels)\n", + "# ax_top.xaxis.set_tick_params(pad=0)\n", + "\n", + "# ax_top.set_xticks(g_ticks_minor*g_to_Msun,minor=True)\n", + "# ax_top.set_xticklabels([],minor=True)\n", + "\n", + "ax.text(0.5, 0.05, \"Micro-lensing\", va = \"bottom\", ha = \"center\", color='C0', transform=ax.transAxes)\n", + "\n", + "plt.loglog(m_vals_tess, f_bound_vals_tess, 'green', ls=':')\n", + "plt.fill_between(m_vals_tess, f_bound_vals_tess, 1, alpha=0.3, color='green')\n", + "plt.text(1.2e-7, 2e-2, \"TESS (proj)\",fontsize=12, ha='center', va='bottom', rotation = 0, color='green')\n", + "\n", + "\n", + "plt.loglog(m_vals_ogle, f_bound_vals_ogle, 'blue', ls=':')\n", + "\n", + "\n", + "# plt.savefig(outfile, bbox_inches='tight')\n", + " \n", + " \n", + "#Save envelope to file\n", + "headertxt = \"Envelope of microlensing bounds: \" + \", \".join(bounds)\n", + "headertxt += \"\\n Columns: PBH mass [Muns], PBH fraction f_PBH\"\n", + "# np.savetxt(\"bounds/Microlensing.txt\", np.c_[Mgrid, envelope], header=headertxt)\n", + "# plt.savefig(\"figures/tess_pbh_projections.pdf\", bbox_inches='tight')\n", + "plt.savefig(\"figures/tesstimates.pdf\", bbox_inches='tight')\n", + "\n", + " \n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 90, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "Mgrid = np.geomspace(1e-12, 1e5, 1000)\n", + "# envelope = 1.0 + 0.0*Mgrid\n", + "envelope = 1.0 + 0.5*Mgrid\n", + "\n", + "def computeEnvelope(boundID):\n", + " m, f = np.loadtxt('bounds/' + boundID + '.txt', unpack=True)\n", + " interped_lim = np.interp(Mgrid, m, np.clip(f, 0,1), left=1, right=1)\n", + " envelope[interped_lim < envelope] = interped_lim[interped_lim < envelope]\n", + "\n", + "plt.figure(figsize=(8,6))\n", + "\n", + "ax = plt.gca()\n", + "ax.set_xscale('log')\n", + "ax.set_yscale('log')\n", + "ax.xaxis.tick_bottom()\n", + "ax.xaxis.set_tick_params(pad=5)\n", + "\n", + "# Compute the envelope for each constraint\n", + "for i in range(len(bounds)):\n", + " if (bounds[i] == \"Icarus\"):\n", + " continue\n", + " computeEnvelope(bounds[i])\n", + "\n", + "# Plot the resulting envelope\n", + "plt.fill_between(Mgrid, envelope, 1, color='gray', alpha=alpha_val)\n", + "plt.plot(Mgrid, envelope, color='gray')\n", + "\n", + "idx=10\n", + "idx2=-4\n", + "plt.loglog(m_vals_tess[idx:idx2], f_bound_vals_tess[idx:idx2], 'green', ls=':')\n", + "plt.fill_between(m_vals_tess[idx:idx2], f_bound_vals_tess[idx:idx2], 1, alpha=0.3, color='green')\n", + "\n", + "plt.text(1.2e-7, 1e-2, \"TESS (proj)\",fontsize=12, ha='center', va='bottom', rotation = 0, color='green')\n", + "\n", + "plt.text(3e-5, 4e-3, \"Niikura et al.\",fontsize=12, ha='center', va='bottom', rotation = 0, color='blue')\n", + "plt.text(5e-10, 2e-1, \"Existing Constraints\",fontsize=12, ha='center', va='bottom', rotation = 0, color='Gray')\n", + "\n", + "\n", + "\n", + "plt.xlim(1e-12, 1e-1)\n", + "\n", + "ax.set_xlabel(r'$M_\\mathrm{PBH}$ [$M_\\odot$]')\n", + "plt.ylabel(r'$f_\\mathrm{PBH} = \\Omega_\\mathrm{PBH}/\\Omega_\\mathrm{DM}$')\n", + "\n", + "\n", + "plt.loglog(m_vals_ogle, f_bound_vals_ogle, 'blue', ls=':')\n", + "plt.savefig(\"figures/tesstimates.pdf\", bbox_inches='tight')\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "base", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.7" + }, + "orig_nbformat": 4 + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/nbs/00_pbh.ipynb b/nbs/00_pbh.ipynb index 2a84659..ba0e07e 100644 --- a/nbs/00_pbh.ipynb +++ b/nbs/00_pbh.ipynb @@ -21,7 +21,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ @@ -31,7 +31,7 @@ }, { "cell_type": "code", - "execution_count": 108, + "execution_count": 1, "metadata": {}, "outputs": [], "source": [ @@ -43,12 +43,12 @@ "\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", - "from scipy.integrate import nquad, dblquad\n", - "from scipy.optimize import minimize_scalar\n", + "from scipy.integrate import nquad, dblquad, tplquad\n", + "from scipy.optimize import minimize_scalar, fsolve, brentq\n", "from scipy.integrate import quad\n", "\n", "\n", - "from scipy.interpolate import interp1d, interp2d\n", + "from scipy.interpolate import interp1d, interp2d, RegularGridInterpolator\n", "from tqdm import tqdm\n", "# from multiprocessing import Pool\n", "from pathos.multiprocessing import ProcessingPool as Pool\n", @@ -71,11 +71,339 @@ }, { "cell_type": "code", - "execution_count": 158, + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "def A_ps(u):\n", + " return (u**2 + 2) / (u * (u**2 + 4)**(1/2))\n", + "\n", + "def f_func(x):\n", + " return (2 + x)/(x*(4+x))**(0.5) - 1\n", + "\n", + "def t_fwhm_gondolo(t_e, umin):\n", + " deltab = f_func(umin**2)\n", + " bw2 = 2* f_func(deltab)\n", + " w_b = 2*(bw2 - umin**2)**(1/2)\n", + " return w_b * t_e\n", + "\n", + "def t_E_from_t_fwhm(t_fwhm, umin):\n", + " deltab = f_func(umin**2)\n", + " bw2 = 2* f_func(deltab)\n", + " w_b = 2*(bw2 - umin**2)**(1/2)\n", + " return t_fwhm / w_b\n", + "\n", + "def ellip(phi, m):\n", + " return quad(lambda x: np.sqrt(1 - m**2*np.sin(x)**2), 0, phi)[0]\n", + "\n", + "def theta_max(u, rho):\n", + " if u <= rho:\n", + " return np.pi/2\n", + " else:\n", + " return np.arcsin(rho/u)\n", + "\n", + "def A_gould(u, rho):\n", + " return A_ps(u) * 4*u / (np.pi * rho) * ellip(theta_max(u, rho), u/rho)\n", + "\n", + "def f_func_finite(u, rho):\n", + " return A_gould(u, rho) - 1\n", + "\n", + "def t_fwhm_gondolo(t_e, umin):\n", + " deltab = f_func(umin**2)\n", + " bw2 = 2* f_func(deltab)\n", + " w_b = 2*(bw2 - umin**2)**(1/2)\n", + " return w_b * t_e\n", + "\n", + "def t_fwhm_gondolo_finite(t_e, umin, rho):\n", + " func = lambda b: f_func_finite(b,rho) - f_func_finite(umin**2,rho)*0.5\n", + " bw = fsolve(func,1)[0]\n", + " w_b = 2*(bw**2 - umin**2)**(1/2)\n", + " return w_b * t_e\n", + "\n", + "# def t_E_from_t_fwhm_finite(t_fwhm, umin, rho):\n", + "# if rho >=10:\n", + "# return t_fwhm/rho/2\n", + "# func = lambda b: f_func_finite(b,rho) - f_func_finite(umin**2,rho)*0.5\n", + "# bw = fsolve(func,1)[0]\n", + "# w_b = 2*(bw**2 - umin**2)**(1/2)\n", + "# return t_fwhm / w_b\n", + "\n", + "def t_E_from_t_fwhm_finite(t_fwhm, umin, rho):\n", + " if rho >=1:\n", + " return t_fwhm/rho/2\n", + " return t_E_from_t_fwhm(t_fwhm, umin)\n", + "\n", + "def magnification_finite_new(u, rho):\n", + " integrand = lambda r, theta: integrand_polar(r, theta, u)\n", + " result, _ = nquad(integrand, [[0, rho], [0, 2 * np.pi]])\n", + " return result / (np.pi * rho**2)\n", + "\n", + "def t_fwhm(t_e, umin, finite, rho=None, ut=1):\n", + " if not finite:\n", + " return t_fwhm_gondolo(t_e, umin)\n", + " else:\n", + " Amax = 1 + 1/rho\n", + " # u_fwhm = ut_func_new(rho, 1+(1-Amax)/2)[0]\n", + " u_fwhm = u_fwhm_interp([rho, umin])[0]\n", + " if u_fwhm<=umin:\n", + " return 0\n", + " return 2*(u_fwhm**2 - umin**2)**(1/2) * t_e\n", + " \n", + "def t_e_from_fwhm(t_fwhm, umin, finite, rho=None, ut=1):\n", + " if not finite:\n", + " return t_fwhm / t_fwhm_gondolo(1, umin)\n", + " else:\n", + " # Amax = 1 + 1/rho\n", + " # u_fwhm = ut_func_new(rho, 1+(1-Amax)/2)[0]\n", + " # u_fwhm = fast_u_fwhm_func(rho, umin)\n", + " u_fwhm = u_fwhm_interp([rho, umin])[0]\n", + " if u_fwhm<=umin:\n", + " print('u_fwhm<=umin')\n", + " return 1e-3\n", + " return t_fwhm / (2*(u_fwhm**2 - umin**2)**(1/2))\n", + " \n", + "def u_fwhm_func(rho, umin):\n", + " Amax = magnification_finite_new(umin, rho)\n", + " func = lambda u: magnification_finite_new(u, rho) - (1+(1-Amax)/2)\n", + " return fsolve(func, 1, xtol=1e-2)[0]\n", + "\n", + "def t_duration(t_e, umin, finite, rho=None, ut=1):\n", + " if not finite:\n", + " return 2*(ut**2 - umin**2)**(1/2) * t_e\n", + " else:\n", + " if ut_func_new(rho, 1.34)[0] <= umin:\n", + " return 0\n", + " return (2*(ut_func_new(rho, 1.34)**2 - umin**2)**(1/2) * t_e)[0]\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "u_vals = np.logspace(-2, 1, 100)\n", + "rho_vals = np.logspace(-2, 1, 100)\n", + "z_vals = np.array([[magnification_finite_new(u, rho) for u in u_vals] for rho in rho_vals])" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# mag_finite_interp = RegularGridInterpolator((rho_vals, u_vals), z_vals, method='linear', bounds_error=False, fill_value=None)\n", + "\n", + "def fast_magnification_finite_new(u, rho):\n", + " return mag_finite_interp([float(rho), float(u)])\n", + " \n", + "def fast_u_fwhm_func(rho, umin):\n", + " Amax = fast_magnification_finite_new(umin, rho)\n", + " if Amax<1:\n", + " return 0\n", + " func = lambda u: fast_magnification_finite_new(u, rho) - (1+(Amax-1)/2)\n", + " return fsolve(func, 1)" + ] + }, + { + "cell_type": "code", + "execution_count": 1252, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_35054/3382273810.py:4: DeprecationWarning: Conversion of an array with ndim > 0 to a scalar is deprecated, and will error in future. Ensure you extract a single element from your array before performing this operation. (Deprecated NumPy 1.25.)\n", + " return mag_finite_interp([float(rho), float(u)])\n" + ] + } + ], + "source": [ + "# z_u_vals = np.array([[fast_u_fwhm_func(rho, u) for u in u_vals] for rho in rho_vals])\n", + "# u_fwhm_interp = RegularGridInterpolator((rho_vals, u_vals), z_u_vals, method='linear', bounds_error=False, fill_value=None)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 1279, + "metadata": {}, + "outputs": [], + "source": [ + "umin_arr = np.logspace(-1, 0.4, 100)\n", + "rho= 1\n", + "fast_Amax_arr = np.array([fast_magnification_finite_new(umin, rho) for umin in umin_arr])\n", + "\n", + "fast_uhm_arr = np.array([u_fwhm_interp([rho, umin]) for umin in umin_arr])\n", + "ut_arr = np.array([ut_func_new(1.2, Amax) for Amax in fast_Amax_arr])\n", + "uhm_arr = np.array([ut_func_new(1.2, 1+(Amax-1)/2) for Amax in fast_Amax_arr])\n", + "uhm_point_arr = np.array([(2* f_func(f_func(umin**2)))**(1/2) for umin in umin_arr])" + ] + }, + { + "cell_type": "code", + "execution_count": 1280, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# plt.plot(umin_arr, Amax_arr)\n", + "plt.plot(umin_arr, fast_Amax_arr)\n", + "plt.axhline(1.34, color='k', linestyle='--')\n", + "plt.xlabel(r'$u_{\\rm min}$')\n", + "plt.ylabel(r'$A_{\\rm max}$')\n", + "plt.title(r'$\\rho = $' + str(rho))\n", + "plt.xscale('log')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 1402, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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jiYiIK7t4EOb0gbQELpZuyX2nh2PDjTd6NaBF9RL5HkclS0REciwqag+lv+1HKctVTnpWp/zYlXj6BZkdS0REXNnVkzAzHJKukFgqhM5nHyUVTx66sxoDwsyZpkdDuIuISI4cOHiAgK97U9ZymdMelSg95nu8/UuaHUtERFxZ/AV7wYo7Q3rx2vSO+RfRaZ7cVbsUz3WtZ1oslSwREbmpo8eO4jOvFxW5wFn3chQb9T0+QWXNjiUiIq4s6SrM7g3RRzECKzHG/QUOxLpTvWQRPh4UirubefM16nJBERG5oeMnT2LMCKcqZzjvVpqij3yPX8lKZscSERFXlpoI8wbCuT1QpDQflHuXVafc8ff24LP7mxHoa+50IipZIiKSrT9Pnyblqx7U5CSXLMXxfXAF/mWq5eixyenJxKTE5HFCERFxOemp8PX9cHIzeAfyc7NpTN5pw2KBjwaFULO0+YMxqWSJiEiWzp4/T9wXPahjHCPaEoT7yBUEVKiTo8faDBvPb3ye+7+/n9Pxp/M4qYiIuAybFRY/CkdWg4cvJ7tMZ+wv6QA80bEWHeqWueHDFxxYwB9X/8jzmCpZ2YiIiCA4OJiwsDCzo4iI5LuLly5x+dPu1DOOcJUAbMOWUqxy/Rw//sPtH7L6xGpOxZ3iXMK5PEwqIiIuwzDguwmwbxG4eZLUZyYjfnYjKc1Km1olebxDrRs+/KcTP/H6ltcZsnJInh+bVLKyMWbMGKKiooiMjDQ7iiksFgtLliwxO0aOFbS8Is7sUnQ0Z6b1oIHtILEUJXXwIkpWD8nx4+cfmM/0fdMBeK31azQt0zRvgrogvQEoIi7LMGD1i7B9OljcMHp/zrM7S/HHxQTKBvgwaUDIDQe6OBh9kOc3Pg9Az5o9KVskbwdvUsmSQuHs2bN06dIlx/efPn06QUFBeRdIpIC6cjWGU1N70ti6j3j8SBzwDaVr5/wP+nWn1vHW1rcAGBc6jvuq35dXUV2Sq78BKCIubMP7sOlj+3K3Sayw3sGyXWfwcLMwZXAoJYp6Z/vQ6ORoxv0yjqT0JFqUa8FTzZ7K87gqWVIolC1bFm/v7P/nEpGbi4mL41hET0LTd5OAD7F9F1C2XqscPz7qchRPr38am2GjT60+PNTwoTxMKyIiLmPr5/DLa/blTm9wpe4gXl62D4CxHWrSrGrxbB+aZk1jwtoJnEk4Q2X/yrx313t4uOX9LFYqWY5kGJCaYM6XYeQ4ZtWqVZk0aVKmdSEhIbz88suZ1l26dIlevXrh5+dHrVq1WLZsWcZta9euxWKxsGrVKkJDQ/H19aVDhw5cuHCB77//nnr16hEQEMCgQYNITEzMNstfZ5SWLFlC7dq18fHx4Z577uHUqVOZ7jdt2jRq1KiBl5cXderUYdasWZlu//vlgsePH8disbBo0SLat2+Pn58fjRs3ZvPmzRnZR44cSUxMDBaLBYvFct3PLuJq4uLjOTS5F03SdpCEN9HhcynfoG2OH38u4Rxjfx5LUnoSLcu1ZGKLiVgs5s1PIiIihcSu+bDy2pmnts9Aq7G89l0UlxNSqV2mKKPb1bzhw9/a+hbbz2+niGcRJneYTKB3YD6E1mTEjpWWCG+WN+e5nz8DXkUcuslXXnmFd955h3fffZfJkyczZMgQTpw4QfHi/3u34OWXX2bKlCn4+fnRv39/+vfvj7e3N3PnziU+Pp5evXoxefJknn322WyfJzExkTfeeIMZM2bg5eXF6NGjGThwIL/++isAixcv5oknnmDSpEncfffdrFixgpEjR1KxYkXat2+f7XYnTpzIe++9R61atZg4cSKDBg3iyJEjtGrVikmTJvHiiy9y8OBBAIoWNX+oTxGzJCQmcmByH8JSI0nCiwvdZ1ElpGPOH5+WwJifx3Ax6SI1g2ryfrv38XQzd34SEREpBKKWwZLH7Mt3jIL2z7P24AUW/X4aiwXe7tMIL4/szxl9ffBrvjn0DRYsvNP2HaoHVc+n4DqTJTcwYsQIBg0aRM2aNXnzzTdJSEhg69atme7z+uuv07p1a0JDQ3nwwQdZt24d06ZNIzQ0lDZt2tC3b1/WrFlzw+dJS0tjypQptGzZkqZNmzJjxgw2bdqU8VzvvfceI0aMYPTo0dSuXZsJEybQu3dv3nvvvRtu96mnnuK+++6jdu3avPLKK5w4cYIjR47g5eVFYGAgFouFsmXLUrZsWZUscVlJScns/bgvYSm/kYwn57p+RZWmnXP8+HRbOk+te4pDVw5RwqcEER0j8Pfyz8PEIiLiEo78BAsfAMMGIUOh81skpFqZuHgvACNbVSO0crFsHx55LpK3tlz7jHCTcbStmPOrMxxBZ7IcydPPfkbJrOd2sEaNGmUsFylSBH9/fy5cuJDtfcqUKYOfnx/Vq1fPtO6fxeyfPDw8aNasWcb3devWJSgoiP3799O8eXP279/PI488kukxrVu35qOPPspx/nLlygFw4cIF6tate8PHibiK5JQUdn3cnxbJv5JqeHD63v9So3m3HD/eMAz+s/U/bDy9ER93H6Z0nEL5oiadzRcRkcLjxGaYPxRsaRDcE3p8jGGx8O9Fezh9NYmKxXx5qnPtbB9+Jv4MT659knQjnS5Vu/BggwfzMbydSpYjWSwOv2QvL7i5uWH84zNcaWlp193P0zPz5T4WiwWbzZbtfSwWS44ek5WsPrvx93X/vN0wjJt+3uOf2YAcZRFxBSmpKez8aAAtktaRZrhz/O5Pqd2y5y1tY2bUTBYcXIAFC/9p8x8alGyQR2lFRMRlnNkBc/tDehLUvBt6fwFu7vx3wx8svzaa4KQBIfh5ZV1jEtMSGffLOK6kXKFe8Xq80voVUz4jrMsFXVCpUqU4e/ZsxvexsbEcO3bMtDzp6els27Yt4/uDBw9y9erVjDNO9erVY+PGjZkes2nTJurVq5fr5/Ty8sJqteb68SIFWVpaGjs+HkSLxDWkGu4cbT+N2m363tI2Vp9Yzfvb3gfgqWZP0bFKzj/DJSIikqUL+2FWb0iJhSqtof8s8PBi89HLvPX9AQBe7B6c7WiCNsPGxI0TOXjlIMV9ivNR+4/w9fDNz58gg85kuaAOHTowffp0unfvTrFixXjhhRdwd3c3LY+npyePP/44H3/8MZ6enowdO5YWLVrQvHlzAJ5++mn69+9PkyZN6NixI8uXL2fRokX89NNPuX7OqlWrEh8fz88//0zjxo3x8/PDz8/xl1yKOJv0tDS2fzyYFvE/k2a4c/SuydRrN+CWtrH74m6e2/AcBgYD6wxkWPCwPEorIiIu4/JRmNkTkqKhfBMYNB+8/DhzNYmxc3/HajPo3aQCw1pUyXYT03ZN46eTP+Hp5slH7T+iXNFy+fgDZKYzWS7oueeeo23btnTr1o2uXbsSHh5OjRo1TMvj5+fHs88+y+DBg2nZsiW+vr7Mnz8/4/bw8HA++ugj3n33XerXr8+nn37KV199Rbt27XL9nK1atWLUqFEMGDCAUqVK8c477zjgJxFxblarlW2Th9Ii7kfSDTcOtplEvQ5DbmkbJ2JPMPbnsaRYU2hbsS3PNn9WQ7WLiMjtuXoKZoZD/HkoXR+Gfgs+ARy7lED/TzdzOSGV4HIBvNmrYbbHnB+O/8Anuz4B4MWWLxJSOiT/8mfBYvzzwzmSSWxsLIGBgcTExBAQEJDptuTkZI4dO0a1atXw8fExKWHBNn36dMaPH8/Vq1fNjpIl/RtLYWG1Wtn28RDuiPmedMONqFYf0qjziFvaxuWkywz7fhin4k4RXCKYrzp/hV8eDLrzlxu9/ro6/W5EpNCIOw9fdYHoo1C8BjzwAxQtze4/rzLyq0guJ6RStYQfsx+6g4rFsj7mRF2OYvj3w0m2JnN/8P08HfZ0nsXN6euvLhcUESnkbFYr26cM446Y77EaFva2eJ+QWyxYiWmJjP15LKfiTlGhaAUiOkbkacESEREXkBhtv0Qw+igEVobhyzCKlOLHfef414KdJKZaaVghkK9GhlGyqHeWm7iUdIlxv4wj2ZpM6wqtmdB0Qj7/EFlTyRIRKcRsViuRk+/njqvfYTUs7Gr+Lk26PHBL20i3pfPM+mfYe3kvQd5BfHL3J5T0LZlHiUVExCUkx8CsXnBxP/iXg+FL2Z8YwJsLt7Lh8CUA7qxZkk+GNaWod9aVJcWawhNrnuB84nmqBVbj3bbv4u5m3jgDf6eSJaYaMWIEI0aMMDuGSKFktVqJnDKcFldXYDUs7Ax7m6b3PXxL2/hrLqx1f67D292byR0mUzWwat4EFhER15ASD3P6wdmd2PxKsrb55yxeFcN3u/djM8DL3Y2RravyZKc6eHlkPYSEYRi8uvlVdl/cTYBXAJM7TMbfyz+ff5DsqWSJiBRCVquVLVNG0OrKcvsZrLC3adrt0Vvezlf7vsqYC+vtNm+b/kFiEREpuJLTrBw9c4mSy4ZS5vJW4i1FGXB1Avu+iwViAbivUTme7VyXyiVufEn6zKiZLDu6DHeLO++3e58qAdmPOmgGlSwRkULGarWyZfIIWl1dhtWwsCfsbZrkomB9f+x7Ptz+IQDPNn9Wc2GJiMgNGYZBbHI6Z2OS+DM6iZPRiZyMTuT45QSOXIjn4tVYPvH4gPruu4gzfBma8gz7jKrULlOU9nVKc1+jcjSqGHTT59l0ZhMfbP8AgKfDnqZFuRZ5/JPdOpUsEZFCJD09nS2TR9A6Zjk2w8KesP8QkouCtePCDiZunAjA0HpDGVLv1oZ6FxGRwiE13UZMUhoxSalcSUzjSkIq0QmpXL7230vxKVyITeFifArnYpKJT0nPcjsepDPFcwrt3XeRYvFmUZ0PGFG3LWFVi2c7amBWTsWe4ul1T2MzbITXDGdw3cGO+lEdSiVLRKSQSE9P57fJw7kzZoW9YDV/m5D7br1gnYo9xRO/PEGaLY2OlTvyVLOn8iCtiIjcLsMwSLMapFptpKXbSEm3kZpuI9VqJTnN/n1KupXkNPv3SalWktLs3yem/vWVTkKKlYSUdBJS04lLTic+JZ245DRik9JJSrPecq5ifp6UD/KlSgk/KhX3o0oxbzodeJGSxyMx3L3wHjyf4TU63PJ2j1w5wtPrnyY2NZaGJRvyfy3+z2nnalTJEhEpBNLS09ny8f3cGfsdNsPCvjvepnHXWy9YMSkxjPllDFdSrlC/RH3eavOW04zUJI6x4/QJtp46anYMyaHcTGaa48dkc0cjmxv+ObNqts9zgylY/36T8bdnyuohf63LdJNxfT7j2n0NjMzbufZNptsztnFt3bUVxl/rruXCsBeYv6+3XVuHATbDuLYNw75sgO3aNm22a+swsNnsj7NhYNgMrNe2YfvbstVmYL22zmaDdMNmX2cDq82+nG4YWK0G6Tb7l9Vqy1jO0xlv3cHNHSwWKOLtgb+3O0V9PAn09STAx5NAXw+C/Lwo5udJkJ8XxYt4UbKoN96efxuswpYCG97k9NlVnPbxhbtfgYAScHFXjmOciT/D1we/Ztv5bQCU9C3JpPaT8HbPelh3Z6CSJSJSwKWmpbPl42G0iVuJ1bCwv8U7NOzyyC1vJ82WxpNrn+RYzDHKFinL5A6T8fXwzYPEYqYvdy5l7aXPzY4hIgAWIBfvY7kBXte+8ouBfWiKWOAMQMq1r6s53ED5svb/7pti/8oFd4s77Su1Z2zoWEr7lc7VNvKLSpaISAGWkpbG1o+G0ib+B6yGhYMt36XBvbc2TDvY3019ZdMrbDm3BT8PP6Z0mEIpv1J5kFjMVsovEE+b5jmTW2DJ9pvs75aXEXL4ZDlJarnBHf/5Y1uyuDWrX83f1/39SjbL3+6Q6T7X7mj5x2OyWv+/ZUtGdguWTLc5laRo+3xYWKBISfAqmqvNeLt707FKR/rV7kfZImUdmzGPqGTJdSwWC4sXLyY8PNzsKCJyA8kpqUROHkqb+FVYDQuHWr9PcKcHc7WtT3Z/wtKjS3G3uPPeXe9Rp3gdB6cVZ/Fi++G8yHCzY4hIYWYY8POrsMc+AiA9JkOT+83NlM9UskRECqDklFQiPx5Mm4TVWA0Lh+/8gHr3PJCrbS07uoypO6cC8Pwdz9OmYhtHRhUREVez7h3YeK1gdX3P5QoWqGQ5lGEYJKUnmfLcvh6+OR5dpWrVqowfP57x48dnrAsJCSE8PJzp06cD0KtXLwCqVKnC8ePHHZxWRG5Hckoq2z4aRJvEn0g33DjadhJ1O+buzMSWs1t4adNLAIxsMJL+dfo7MqqIiLiajR/C2jfty53egOa3fgl7YaCS5UBJ6UncMfcOU557y+At+HnmfI6B7ERGRlK6dGm++uor7r33XtzdNaqYiDNJSk5h+8cDuTPxF9INN/5o9zF12g/L1bYOXznM+DXjSbel07lqZ8Y3Ge/YsCIi4lo2R8BPL9uXO7wArcaaGsdMKlmSSalS9g+6BwUFUbZswfhgoYirSExOZsdH/bkzaR1phjsn2k+mdrvcTRJ8PuE8j/30GPFp8TQp3YQ37nwDN4vbzR8oIiKSla2fw6rn7ct3PQttXXuORZUsB/L18GXL4C2mPbeIFF7xiUns+bgfrZM32AtWx6nUbDswd9tKjWf0z6M5n3ieqgFV+bjDx04914iIiDi532fCymulqvV4aPecqXGcgUqWA1ksFodcspfX3Nzc7JPp/U1aWppJaUTkZuITE9n7UV9apvxKquHBqXs+oead/XK1rTRrGhPWTuDQlUOU8CnBtLunEegd6ODEIiLiMnbOg2Xj7MstRsPdL2ceu95FqWS5oFKlSnH27NmM72NjYzl27FjG956enlitVjOiicg/xMbHc+DjPrRI/Y0UPDnd+TNqtOqdq20ZhsHLm19m89nN+Hr4EtExgor+FR2cWEREXMaehbB0NGBA2MPQ+U0VrGt0Ab4L6tChA7NmzWLDhg3s3buX4cOHZxrgomrVqvz888+cO3eOK1eumJhUxLXFxMVx8ONwml8rWGc6/5fquSxYAJN3TGbZ0WW4W9x5/673qV+yvgPTioiIS4laCoseAcMGTYZDl3dUsP5GJcsFPffcc7Rt25Zu3brRtWtXwsPDqVGjRsbt77//PqtXr6ZSpUqEhoaamFTEdcXExHLk456EpUaSjCdnuk6nWsueud7e1we/5vM9nwPwUsuXNBeWiIjk3oHvYOEDYFghZAh0mwRuqhV/p8sFXVBAQAALFizItG748P/NsdO9e3e6d++e37FE5JqrMVc5NqUnTdN2koQ35++bQbWwLrne3vo/1/PGljcAGN14NL1q9XJUVBERcTWHVsHXw8GWDg37Q4/JKlhZUMkSEXEi0VeiORXRg9D0PSTiw8UeM6napHOut3cw+iBPr3sam2EjvGY4oxqPcmBaERFxKUd+ggVDwZYG9XtD+DRw05yqWVHJEhFxEpejL3M2ohuNrVHE48uV8LlUCemQ6+1dTLzI2F/GkpieSPOyzXmxxYtYdL28iIjkxtE1MH8IWFOhXg/o/Rm4q0pkR78ZEREncOnSRc5P60YD6wHi8ONqnwVUatg219tLTEtk7C9jOZdwjqoBVfmg3Qd4uns6MLGIiLiMY+th3iBIT4Y690Gf/4KOKTekkiUiYrKLF89xeVo36tsOE0NR4vp9TaX6rXO9PavNyr83/Juoy1EEeQcxteNUzYUlIiK5c/xXmDsA0pOgVmfo9xV4eJmdyumpZDnAPyf2lcJD/7aS1y6cP0PMp/dR1/YHV/EnYcC3VKx3x21t871t77Hm1Bq83Lz4uMPHVAqo5KC0IiLiUk7+BnP6QVoi1OgI/WeCh7fZqQoEDQVyGzw97adJExMTTU4ieeWvf9u//q1FHOnC2VPEfdqFWrY/iCaQxMFLqXCbBWvO/jnM3j8bgDfufIPQ0pqGQUREcuFUJMzuC2kJUL0dDJwDnj5mpyowdCbrNri7uxMUFMSFCxcA8PPz04fKCwnDMEhMTOTChQsEBQVlmqxZxBHOnz5O0hf3UcP4k0sUI3XIEsrXCrmtba49tZZ3It8B4IkmT3BvtXtvP6iIiLie09thdm9IjYOqbWDgPPD0NTtVgaKSdZvKli0LkFG0pHAJCgrK+DcWcZSzf/5B2n/vo6pxhguUwDpsKeVrNLytbe69tDdjqPY+tfrwYIMHHZRWRERcypkdMKsXpMRCldYweAF4+ZmdqsBRybpNFouFcuXKUbp0adLS0syOIw7k6empM1jicGeOH8SY0Z3KxnnOWUrB8OWUq1rvtrZ5Ku4UY34eQ7I1mdYVWjOxxUSdVRcRkVt3dhfMDIfkGKjUAgZ/DV5FzE5VILlEyVqxYgVPPvkkNpuNZ599loceesjhz+Hu7q4/yEXkhk4djcJjVg/Kc5EzljK4j1xBmcq1b2ubV5OvMvqn0UQnR1O3eF3ev+t9PN30GUIREblF5/bAzJ6QfBUq3QFDF4J3UbNTFViFvmSlp6czYcIE1qxZQ0BAAE2aNKF3794UL17c7Ggi4kKOH9yF77xelOEypyzl8XnoO0pVqH5b24xPjWfMz2M4HnucskXKEtExgiKeesdRRERu0fl9MKMHJF2BCs1gyELw9jc7VYFW6EcX3Lp1K/Xr16dChQr4+/vTtWtXVq1aZXYsEXEhR/Ztp8i8npThMifcKuH36KrbLlgJaQk89tNj7L60m0DvQKZ2nEppv9IOSiz5YcWKFdSpU4datWrxxRdfmB1HRFzV+SiY0R2SoqF8Exi2CHwCzE5V4Dl9yVq/fj3du3enfPnyWCwWlixZct19pk6dSrVq1fDx8aFp06Zs2LAh47YzZ85QoUKFjO8rVqzI6dOn8yO6iAgHd22m+DfhlOIKx9yrEjhqFSXKVr6tbSamJTL6p9HsvLgTfy9/Pr/nc2oVq+WgxJIf/rrK4pdffuH333/n7bffJjo62uxYIuJqLuy3F6zEy1A+FIYtBh9NXu8ITn+5YEJCAo0bN2bkyJH06dPnutsXLFjA+PHjmTp1Kq1bt+bTTz+lS5cuREVFUbly5Swnk73RB8JTUlJISUnJ+D42NjbX2Y/FHGPId0Ny/XgRKdis1nTc0hKwVA7AagnCzcsXy0/9bnu7abY0kq3J+Hv683mnz6lX4vYGzpD89/erLICMqywGDRpkcjIRcRkXD14rWJegXGN7wfINMjtVoeH0JatLly506dIl29s/+OADHnzwwYzBLCZNmsSqVauYNm0ab731FhUqVMh05urPP//kjjuyn+zzrbfe4pVXXnFIdsMwiEuLc8i2RKSAcv/bBQPpCQ7bbKB3INM6TqN+ifoO26bk3Pr163n33XfZvn07Z8+eZfHixYSHh2e6z9SpU3n33Xc5e/Ys9evXZ9KkSbRp0wbQVRYiYrKLh2B6N0i4CGUbwrAl4FvM7FSFitOXrBtJTU1l+/bt/Pvf/860vlOnTmzatAmA5s2bs3fvXk6fPk1AQAArV67kxRdfzHabzz33HBMmTMj4PjY2lkqVKuUqX0X/iiwPX56rx4pIwRW1bR1VNz+PH8kc86pFuaGf4VPEsde3lylSBl8PTQxplvy+ykJExGEuHYYZ3SDhApRpAMOWgp8GhHO0Al2yLl26hNVqpUyZMpnWlylThnPnzgHg4eHB+++/T/v27bHZbDzzzDOUKFEi2216e3vj7e3tkHxe7l5UDazqkG2JSMGw9ZfFtFv/NH6WFA74hNBq7DK8/XR9e2GT31dZOPJSdhFxYZeO2M9gxZ+H0vXh/mVQJPu/iyX3nH7gi5z457t/hmFkWtejRw8OHTrEkSNHeOSRR/I7noi4iE2rFtBo3cP4WVKI8gujxviVKlgu6K+rLDp16pRpfXZXWcTFxbFy5Uo6d+6c7TbfeustAgMDM75ye4WFiLiwy0ftn8GKPwelg2G4ClZeKtAlq2TJkri7u2ectfrLhQsXrju7JSKSlzaumEnTTaPxsaSxz78VdcYvx9NHc1a5olu9yiI0NJSnn376hldZPPfcc8TExGR8nTp1Kk9/BhEpZKL/sBesuDNQqu61M1glzU5VqBXoywW9vLxo2rQpq1evplevXhnrV69eTc+ePU1MJiKuZN2Sz2m141k8LVb2BrYjeOzXuHk65rJjKbhycpVFjx49crQtR17KLiIuJvoYTO8OsaehZB0YvhyKljI7VaHn9CUrPj6eI0eOZHx/7Ngxdu7cSfHixalcuTITJkxg2LBhNGvWjJYtW/LZZ59x8uRJRo0aZWJqEXEVa76ZQtu9/4e7xWBP8U40GDMXi7un2bHERLrKQkScxpXj9jNYsX9CydrXCpYmrs8PTl+ytm3bRvv27TO+/2vkv+HDhzN9+nQGDBjA5cuXefXVVzl79iwNGjRg5cqVVKlSxazIIuIifpn7Pu0OvoabxWBPqftoMGomFnenf1mVPKarLETEKVw5YT+DFXMKStS0Fyx/vdGTX5z+r4F27dplOdTt340ePZrRo0c79HkjIiKIiIjAarU6dLsiUvAZhsEvs/5Dxz/+AxbYXbY3DR/5Aoubu9nRJJ/oKgsRcWpXT9qHaY85ea1grQD/smancikW42YNxsXFxsYSGBhITEwMAQGOnedGRAoewzD4ZfrLdDwxCYDdFQbR6KFpoDmOHM6ZX3/Xrl2b6SqLv/x1lQXYJyN+5513Mq6y+PDDD2nbtq1Dnt+ZfzciYrKrp2B6V3vRKl4DRnwHAeXMTlVo5PT1VyXrJnQgE5G/GIbBL188T8fTUwHYXWUEjUZMUsHKI3r9vd7fr7I4dOiQfjciklnMn/BVV7h6AopXv1awypudqlDJ6bGpQA/hLiKSX2xWG2s+fTKjYO2q8agKluS7MWPGEBUVRWRkpNlRRMTZxPwJ0++zF6xi1eyXCKpgmcbpP5MlImI2m9XGuk/G0uHiHAB213mCxoNeNTmViIjINTGnYXo3+2iCxarCiBUQWMHsVC5NJUtE5AasVhsbIx6hffQ3AOyq/yyN+z1vcioREZFrYs/YB7m4cgyCqtjPYAVWNDuVy1PJEhHJRnp6Or9NeYC7ri4FYHfjF2nc60mTU4mIiFwTe9Z+Biv6DwiqbP8MVlAls1MJKlkiIllKS0sjcvIw7oz9HpthYV+z12nUfazZsUREROxiz9rPYEUfVcFyQhr4IhsREREEBwcTFhZmdhQRyWcpqSls/2gArWK/x2pYiGrxLg1VsERExFnEnYMZ3eHyEQisbL9EMKiy2ankb1SysqERnERcU3JyMrsn9aVF/M+kGe7sv/MjGnR52OxYIiIidnHnrxWswxBYCUYsh2JVzE4l/6DLBUVErklOSiTq496EJW0m1fDgcLspNGg/yOxYIiIidvEX7AXr0iEIqAjDl9tHExSnozNZIiJAYkIcByd1p0nSZpINT450/Iz6KljiZHQpu4gLi794rWAdhIAK9jNYxauZnUqyoZIlIi4vPi6Gox91o3HKNhINb453/orgtn3MjiVyHV3KLuKi/ipYFw+Af3n7PFjFq5udSm5AlwuKiEuLuRrNnxHdaJi2jwTDhz+7zqTuHZ3NjiUiImKXcAlm9oCL+8G/nApWAaGSJSIuKyb6ImendqN++gFi8eNCzznUadLB7FgiIiJ2CZdhRg+4EAVFy9qHaS9Rw+xUkgMqWSLiki5fPMflT+6jrvUIMRTlUq/51GzcxuxYIiIidgmX7WewLuy7VrBWqGAVICpZIuJyLpz7k7jP7qO27ThXCCCm30Jq1L/D7FgiIiJ2idEwqyec3wtFSttHESxZy+xUcgs08EU2NIKTSOF07vQJEj69lxq241wiiPhBS6mqgiUiIs4iMRpm9oRze6BIKfsZrFK1zU4lt0glKxsawUmk8Dl94iipX9xLNeMUFyhB2rAVVKrTxOxYIiIidklXYFY4nNsNfiVh+AooVcfsVJILulxQRFzCiaMHcJ/Vg8qc55ylNJYRyylXpa7ZsUREROySrsKsXnB217WCtRxK6zhVUKlkiUihd+zwXrznhFOei5yxlMXrwRWUrKhr20VExEkkx9gL1pkd4FcChi+DMsFmp5LboMsFRaRQOxS1E985PSjPRf50q4DvIz+oYEmBpc8LixRCybEwuw+c+R18i8P9S6FMfbNTyW1SyRKRQuvAnkiCvg6nLJc55V4J/1E/UKxcNbNjieSaPi8sUsikxMGcvvBnJPgE2QtW2YZmpxIH0OWCIlIo7du5mbKLB1DCEsMJj6oUf+x7/EuUNzuWiIiIXUoczO4Lp7b8r2CVa2R2KnEQlSwRKXR2b9tApeWDKGaJ45hnDUqP/oEixUqbHUtERMQuNQHmDoBTv4FPINy/BMqHmJ1KHEglS0QKlV1bfqHKyqEEWRI46lWH8mO+xzewhNmxRERE7FIT7QXrxK/gHQDDFkP5ULNTiYOpZIlIofH7r6uo9eNw/C1JHPYOptLYlfj4FzM7loiIiF1qIswbAMc3/K9gVWhqdirJAxr4QkQKhe0bVlL7WsE65N2QyuO+V8ESERHnkZYE8wfDsfXgVRSGfgsVm5mdSvKISlY2NEyuSMGxbe1y6v40gqKWJA74hFD1ie/xLhJkdiwRERG7tGRYMBT+WAOeRWDIQqjU3OxUkodUsrKhYXJFCoatPy+m/poHKGJJYb9fM2qM/w4vP3+zY4mIiNilp8DX98ORn8DTD4Z8A1Vamp1K8pg+kyUiBdbWn76h0YbH8LGkEVWkObXHLcXD28/sWCIiInbpqfDNCDi8Cjx8YfDXULW12akkH+hMlogUSFtWzaPxtYK1r2hL6jyxXAVLRESchzUNFo6EgyvBwwcGz4dqbcxOJflEJUtECpzfvp9NyKaxeFvS2OPfhrpPLMXdy8fsWCJ5Tp8XFikgrOnw7UNwYAW4e8PAOVC9ndmpJB+pZIlIgfLbyhk0+W0c3pZ0dge0o/64Rbh7epsdSyRf6PPCIgWANR0WPwJRS8DdCwbMhpp3m51K8plKlogUGJuXf0nTLf/Cy2JlV2BHGoxbiJunl9mxRERE7GxWWDoG9n4Lbp7QfybU7mR2KjGBSpaIFAibl31O2LYn8bRY2RnUiYaPL8DNw9PsWCIiInY2Gyx7HHbPB4s79PsK6nQxO5WYRKMLiojT27zkU5rveBZ3i8GOYvcSMnYOFne9fImIiJOw2WDFeNg5x16w+v4X6nU3O5WYSGeyRMSp/bZ4akbB+r14NxUsERFxLoYB3z8Nv88Aixv0/gzq9zI7lZhMJUtEnNaWxZNpvvN53C0G20t0J3TsTBUsERFxHoYBPzwHkV8AFgifBg37mp1KnIBKlog4pa2LPiJs5wu4WQwiS/aiyZgZWNzczY4lIiJiZxiw+gXYMs3+fY/J0HiguZnEaegtYRFxOlsWfsAde18BC2wt1Yewx77A4qb3hERExEkYBvzyOmyabP/+vg+gyTBzM4lT0V8t2dCEjyLm+O2b9+0FC9hSup8KloiIOJ9178CG9+zL974NYQ+am0ecjv5yyYYmfBTJf5sXvEOLfa8CsKX0AJqP+kwFS0REnMvGD2Htm/blTq9Di1Hm5hGnpMsFRcQpbJr3H1odfAuALWUH0fyRqSpYIiLiXDZHwE8v25c7vgitHjc1jjgv/QUjIqb7de5b/ytY5YaoYImIiPPZ+jmset6+3O45aPOkuXnEqemvGBEx1cY5b9D60H8A2Fp+GM0fnqKCJZINfV5YxCTbZ8DKp+zLd06Au541N484Pf0lIyKm2Tj7de48/A4AkRXuJ+yhj1WwRG5AnxcWMcHOebD8Cftyy7H2ywQtFnMzidPTZ7JExBTrZ71G26P2kZkiK44g7MFJOmiJiIhz2fstLB0NGBD2sH2gCx2rJAf0lrGI5Lt1M/9XsLZVGqmCJSIizmf/cvj2YTBs0OR+6PKOjlWSYypZIpKv1s58lbv+uFawKj9Aswc+1EFLREScy6Ef4ZuRYFih0UDo9hHocna5BdpbRCTfrJnxKu3+eB+A7ZUfoNnID1SwRETEuRxdAwuGgi0N6veCnhEqWHLL9JksEclzhmGwduZrtD9mL1i/V3mApiNUsERExMkc/xXmDQJrCtS5D3p/Du76c1lunWq5iOSpfxasHVUeoIkKloiIOJtTkTC3P6QnQc17oN9X4O5pdiopoFSyRCRPZS5YDxKqgiUiIs7mzE6Y3QdS46FaWxgwCzy8zU4lBZhKlojkmTX/OIMVOuJ9FSwREXEu56NgVi9IiYHKLWHQfPD0NTuVFHAqWSKSJ9bMfJ3210YR3FllpM5giYiI87l0BGb2hKRoqNAUBn8NXkXMTiWFgEpWNiIiIggODiYsLMzsKCIFztpZb9L+j3cB2FF5BCEjNEy7iIg4mSvHYWYPSLgAZRvC0G/BJ8DsVFJIqGRlY8yYMURFRREZGWl2FJECZe2c/9Du6NsA7Kg8nNCRk1SwRETEucSchhk9IPY0lKwDw5aAbzGzU0khopIlIg6zdu47tDv8FgA7Kg4jdORHKlgiIuJc4i/Yz2BdPQHFq8PwZVCkpNmppJBRyRIRh1g3/z3aHXoDgB0VhhD64GQVLBERcS6J0TAzHC4fgcBKcP8y8C9rdiophFSyROS2rV/wAXcdeA2AHeUHEfpQhAqWiIg4l+QY+yiCF/ZB0bJw/1IIqmR2KimkVLJE5LZs+OYj7ox6FYDfyw0g9OFpKlgieUSDMonkUmoCzOkPZ3eCXwl7wSpRw+xUUoipZIlIrm1cFEHrvS/hZjHYUaYPoQ9/ooIlkoc0KJNILqQlw7xBcOo38Am0D3JRuq7ZqaSQU8kSkVz5dfEntNw1ETeLwe+lexHy6OdY3PSSIiIiTiQ9Fb4ZDsfWgVdRGPItlGtkdipxAfqLSERu2aZln9Ni579xtxjsKNmD0FH/xeLmbnYsERGR/7FZYfEjcOgH8PCBwQugki61lfyhkiUit+S3FV/RfPsz9oJV4j5CRk9XwRIREedis8Gyx2HfYnDzhAFzoOqdZqcSF6KSJSI5tvX7WTSNfBIPi40dxe4lZPRMFSwREXEuhgE/PAs754DFHfp+CbXuNjuVuBiVLBHJkW0/ziPktyfwtFjZGXQPjcfMweLuYXYsERGRzH5+FbZ+BlggfBoE9zA7kbgglSwRuanff1lIo1/H4mWxsjOgPY3GzsPNQwVLRESczIb3YeMH9uVuH0DjAebmEZelkiUiN7Rz3RKC143Cy5LOzqJtafj417h5eJodS0REJLMtn9rPYgHc8xo0e8DcPOLSVLJEJFt7f/2OOr88jI8ljV1FWtFg3De4e3qZHUtERCSzHbPh+2fsy3c9C63HmZtHXJ5KlohkKeq3VVT7cSS+llR2+zan3uOL8PDyMTuWiIhIZvuW2EcSBGgxGto9Z2ocEVDJEpEsHNz2C5W/H04RSwp7fJpQ54klePn4mh1LREQks8Or4duHwLBB6DDo/CZYLGanElHJEpHMjuzcQLkVQyhqSWKfVyNqPr4Mb58iZscSERHJ7PivsGAo2NKgfm/o/pEKljgNlSwRyfDH3t8ouWQgASSy3zOYqo8vx7eIv9mxREREMjv9O8wdAOnJUKsz9PoUNG+jOBGVLBEB4MSB7RRb2I8g4jnoUYeKY7+jiH+Q2bFEREQyu3AAZveB1Dio2gb6zwAPDcokzkUlKxsREREEBwcTFhZmdhSRPHfq8C6KzO9NMWI57F6TsmNW4h9Y3OxYIiIimUUfg5k9ISkaKjSFQfPAU58ZFuejkpWNMWPGEBUVRWRkpNlRRPLU6T/24z0nnJJc5Q+3qpR67DsCi5U0O5aIiEhmsWfsBSv+HJQOhiELwVuXtItzUskScWFnTxzCbWZ3ShPNcbdKBD76HUEly5odS0REJLOEyzCrF1w9AcWqwbDF4KcrLsR5qWSJuKgLp49jnd6dclzklKU8RR/6jhJlKpodS0REJLPkWJjTBy4eAP/ycP9S8NcbguLcVLJEXNDF86dI+uI+KhrnOGMpg/eD31GyfBWzY4mIiGSWlgTzBsGZHeBXAu5fAsV0vBLnp5Il4mKiL54l7tP7qGL8yTlKYhmxnNIVq5sdS0REJDNrGnw9HE5sBO8AGLoIStUxO5VIjqhkibiQmOiLXPqkG9VtJ7hIMazDllCuig5YIgWFRr4Vl2GzwuJRcHgVePjA4AVQPsTsVCI5ppIl4iJiY6I5M7Ubta1HuEIASYMWUaFGQ7Njicgt0Mi34hIMA1Y+BXsXgpsH9J8FVVqZnUrklqhkibiAhPhYTk7pSb30A8RQhJi+C6lcp4nZsURERK7386uw7UvAAr0/g9qdzE4kcstUskQKueSkRI5MDqdB2m7i8eVS+HyqNrjD7FgiIiLX+/Uj2PiBfbnbh9Cgj7l5RHJJJUukEEtJSWbfx31onLKdRMObs/fNokZIW7NjiYiIXG/7DFj9on357leg2Uhz84jcBpUskUIqLS2NXR8PoGnSJlIMT07e+yW1wu4xO5aIiMj19i2BFePty63Hw53jzcsi4gAqWSKFkNVqZfvkoTRPWEuq4c7RDtOo27Kb2bFERESud/QX+PYhMGzQZDjc/bLZiURum0qWSCFjs9r4bcoDtIj9gXTDjYN3fkTwXf3MjiUiInK9U5EwfwjY0iA43P45LIvF7FQit00lS6QQMWw2fv10DK2vLMFmWNjX/G0a3jPM7FgiIiLXOx8Fc/pCWiLU6AC9Pwc3d7NTiTiESpZIIWEYBhv/+zRtLswFYFfoKzS+7xGTU4mIiGThynGY1QuSr0LFMBgwGzy8zE4l4jAqWSKFxIYZL9Lm9BcAbK/3LKHhT5icSEREJAtx52FmOMSfg9LBMPhr8CpidioRh1LJEikENsz9D22PfwzAthpjaTrgeZMTiYiIZCHpKszuA1eOQVAVGLoI/IqbnUrE4Txy+8AvvviCL7/8kqCgIBo0aEDDhg1p2LAhISEhDownIjfz67eTaXPoLQC2VRpJs2FvmJxIREQkC6mJMG8gnN8DRUrDsMUQUM7sVCJ5Itcl64033mDJkiV4e3uzZ88e9u7dy9KlS1m4cKEj84nIDWxe/iUtdr8AFthWtj/NHvjQ7EgiIiLXs6bBNyPg5GbwDoRhi6BEDbNTieSZXJesRo0aUbt2bXx9falbty79+mmIaJH8FLl6AU23PYW7xeD3Et1o+sgnGvZWREScj80GS8fA4VXg4QODF0DZhmanEslTuf5M1gsvvED37t1Zvnw5Fy5ccGQmEbmJneuX03DjGLwsVnYGdiDksRlYNOytiIg4G8OAVc/D7gVgcYf+M6FKS7NTieS5XJes+++/nwoVKrBixQrCw8OpUaMGd999tyOziUgW9m75mVo/P4SPJY3dRVrRcOwC3DxyfVJaREQk72x4D7ZMsy+HT4Panc3NI5JPcv2XWWBgIDNmzMi07vjx47ebR0Ru4NCuzVRaOYwilmSifEKp+/i3uHtqXhEREXFC276EX163L9/7NjQeYG4ekXyU6zNZrVq1YtasWZnWVa1a9XbziEg2/jiwixKLBxBoSeCQZz2qP74ULx8/s2OJiIhcb98SWDHBvtz2aWgxytQ4Ivkt12ey9u/fzzfffMOrr75KWFhYxhDu3bp1c2Q+EQFO/XEQv/m9KUEMf3hUp/zY7/ApEmh2LBERkev9sRYWPQwY0HQktJ9odiKRfJfrkrVy5UoAYmNj2bt3L3v37mX16tUqWSIOdv7MCZjVk7Jc4qRbRUqM+o6igSXMjiUiInK907/D/CFgTYXgnnDf+xr5VlxSrkvWgQMHWL58OUFBQdSvX5+BAwcSEBDgyGwiLu/yxXMkfNGd6sZZzljKUOSh7wgsWd7sWCIiIte7dATm9IXUeKjWFnp/Dhr5VlxUrj+T1aVLF1JTU7l69Sqffvop7dq1o06dOo7MZqqIiAiCg4MJCwszO4q4qJir0Vz6pBvVbSe4SDHchi+lRPmqZscSERG5XuwZmNULEi9DuRAYOBc8vM1OJWIai2EYRm4e2KpVKzZt2pRpndVqxd29cL1jERsbS2BgIDExMTpTJ/kmMSGOY5O6UD9tD1fxJ27gUirVbWp2LJF8pdff7Ol3I04lMRq+6goX90PxGvDAKihayuxUInkip6+/t3wm68knn2TmzJm0b9/+uiHcC1vBEjFDSkoyhyb3oX7aHuLxJbrXfBUsERFxTqmJMG+gvWAVLQvDFqtgiZCLz2S1bduW3bt3c+jQIRYuXMgbb7xBs2bNNLqgiAOkp6WxZ/JAmiVvIdnw5HTX6dRpfKfZsURERK5nTYOFI+HUFvAJhGGLoFgVs1OJOIUcl6zo6GiKFy9Oz5496dmzZ8b6pKQk9u7dy+7du/n5559VskRyyWa1sW3qSFrEryHVcOdI+09ocMe9ZscSERG5nmHA8ifg0A/g4QODFkCZ+manEnEaOS5ZJUuWpGLFijRu3DjjKyQkhJo1axIWFqYBIkRug2Gz8dtnY2l1ZTlWw8K+lu8T2q6v2bFERESy9tNLsHMOWNyh33So0tLsRCJOJcclKyoqip07d7Jjxw4iIyP59NNPiY6OxtfXl/r167Nly5a8zClSqG2eMZFW5+cAsCPkFZrdO9LkRCIiItnYNAV+/ci+3ONjqNPF3DwiTijHJatu3brUrVuXgQMHAmAYBj/88AOPP/44HTt2zLOAIoXdb/PfotWJqQBsrf0kzXs9YXIiEXFWERERREREYLVazY4irmrXAvhxon357lcgdKi5eUScVK7nybJYLHTp0oXZs2dz5swZR2YScRnblk2jxYH/APBbpQdpPvhFkxOJiDMbM2YMUVFRREZGmh1FXNHh1bB0tH25xRhorTcFRbKT45Jls9myXN+iRQvWrl3rqDwiLmPn6rmEbH8egC2l+3HHyPdMTiQiIpKNP7fB1/eDLR0a9odOr4PFYnYqEaeV48sFixYtSoMGDQgJCckY9KJOnTps3bqV+Pj4vMwoUujs+3UF9TaOw8NiIzKwM2GPforFLdcnlkVERPLOpcMwpx+kJUKNjtAzAnTMErmhHJesRYsWsWvXLnbt2kVERASHDx/GZrNhsVh47bXX8jKjSKFy+Pe1VP3xQbwtaezwa03o2Nm4aSJvERFxRrFnYFYvSIqG8k2g/0zw8DI7lYjTy3HJuvfee7n33v/N2ZOcnMzRo0cpUaIEZcuWzZNwIoXNyQPbKbVsCEUsyezxCqHe49/g4amDlYiIOKGkqzC7L8ScguI1YMg34F3U7FQiBUKOS9Y/+fj4UL++Jp0TyalzJw7gO78vQcRz0KMO1R5fio9vEbNjiYiIXC8tGeYPhgv7oGhZGLYYipQ0O5VIgaELakXyweVzJ7FO70kpovnDrQqlRy2nqH+Q2bFERESuZ7PCoofgxK/gHQBDF0KxKmanEilQVLJE8ljc1YvEft6dCsY5TlvKUOTBZRQrWcbsWCIiItczDFj5FOxfDu5eMHAulG1odiqRAkclSyQPJSfEciaiO9Wsx7lIMaxDFlOmQlWzY4mIiGRt/buw7UvAAr0/h2ptzE4kUiCpZInkkfSUJI5M6UWdtP3EGEW42mcBlWvqc4wiIuKkts+ANW/Yl7u+C/XDTY0jUpCpZInkAVt6OnsjBtEgaRsJhjenus6kVsM7zI4lIiKStQMrYcV4+3Kbp6D5w6bGESnoVLJEHMyw2dj5yQOExK4h1XDnwF2f0OCOu82OJSIikrWTW2DhSDBsEDoUOvyf2YlECjyVLBEH2/HVeJpcWorVsPB7s3dp2qG32ZFERESydvEgzO0P6clQ+17o9hFYLGanEinwVLJEHGjH/FdocmoGAJvq/R8tuj9ociIREZFsxJ6B2X0g+SpUDIO+X4F7rqdQFZG/UckScZA9yyYTeuADANZWHkubgU+ZnEhERCQbSVdhdl+IOQUlasKgBeDlZ3YqkUJDJUvEAQ78Mofg7S8AsLbUEO4a+brJiURERLKRlgzzh8CFfVC0DAxdBEVKmJ1KpFBRyRK5TX9s+Y7q68bhbjHYGNCVNqOmYNH17CIi4oxsNlj8KJzYCF7+MGQhFKtidiqRQkclS+Q2nN67kTLfP4CXJZ0tPncSNnYG7u7630pERJyQYcCq5yBqCbh5wsDZUK6R2alECiX9NSiSSxf/2E2RhQMpQjI7PRtT//Gv8fbyMjuWiIhI1n79CLZ8Yl/u9QlUb2dqHJHCTCVLJBdizv2BMasXQcRxwK0WlR5bTNEiRcyOJSIikrXdX8NPL9mXO70ODfuam0ekkFPJErlFiVfOEfd5d0oblzhGBfwfXEyJ4vrAsIiIOKmjv8CSx+zLLcZAq8fNzSPiAlSyRG5BakIM56Z1p6L1T85SAmPYYipUqGR2LBERkayd3QULhoEtHer3tp/FEpE8p5IlkkO21GSORYRTPfUQ0YY/l3stoHqNOmbHEhERydqVEzCnH6TGQ9U29s9huelPP5H8oP/TRHLAsKZzYOoA6iT+Trzhwx+dZ9CgcZjZsURERLKWGA2z+0D8eShdHwbOAQ9vs1OJuAyVLJGbMQz2fv4QwVfXkmJ4sOvOCJq16mh2KhERkaylJcG8gXD5MARUhKELwSfQ7FQiLkUlS+Qm9sx6mobnFmM1LGxq/B9a36MRmURExEnZrPDtQ3Bqi71YDf0WAsqbnUrE5ahkidzAvkVv0/CPzwH4peZztO/9sMmJREREsmEY8P0zcGAFuHvDoPlQuq7ZqURckkqWSDYO/vgF9Xe/CcDqsg9z99BnTE4kIiJyAxs/gMgvAAv0/gyqtDI7kYjLUskSycIfmxZR/Vd7qfolqA8dHn4Hi8VicioREZFs7JoPP79qX773P1A/3NQ4Iq5OJUvkH/7cvYZyPz6Kp8XKr34daD3mU9zd9b+KiIg4qaO/wNIx9uVWj0OLUebmERGVLJG/u3R0BwGLhuBLKts8m9F47Fy8PT3NjiUiIpK1s7thwf32yYYb9IG7XzU7kYigkiWSIfbsHzC7NwEksM+tDtUe+4aifr5mxxIREcna1VPXJhuOs082HD5Nkw2LOAn9nygCJF05T9wX3ShpRPOHpSJBDy2mRPHiZscSERHJWtIVmNMX4s9B6WAYMFuTDYs4EZUscXnpiTGcm9aNCtbTnKEkxpBFVChfwexYIiIiWUtPgflD4OIB8C8PQ74B3yCzU4nI36hkiUsz0pL5I6I31VIPEW34c7nXfGrUrGN2LBERkazZbLD4UTjxK3gHwNCFEFjR7FQi8g8uUbJ69epFsWLF6Nu3r9lRxJnYrOyfNoTaCdtIMLw5cs9XNGwcZnYqERGR7K1+AfYtBjdP+yWCZeqbnUhEsuASJWvcuHHMnDnT7BjiTAyDfV8+RnD0T6Qa7my7YzLN77zH7FQiIiLZ+20abJ5iXw6fBtXvMjePiGTLJUpW+/bt8ff3NzuGOJH9C16g/p8LsBkW1gS/xl1dB5gdSUREJHtRS+GH5+zLd78MjfqZGkdEbsz0krV+/Xq6d+9O+fLlsVgsLFmy5Lr7TJ06lWrVquHj40PTpk3ZsGFD/geVQuPQdx9T78BkAFZVHk+n/qNNTiQiInIDJ3+Dbx8GDGj2ILQeb3YiEbkJ00tWQkICjRs3ZsqUKVnevmDBAsaPH8/EiRPZsWMHbdq0oUuXLpw8eTLjPk2bNqVBgwbXfZ05cya/fgwpII5vmEeNrS8C8EOJYXQe+RIWi8XkVCIiItm4dBjmDQRrCtTpCl3fBR23RJyeh9kBunTpQpcuXbK9/YMPPuDBBx/koYceAmDSpEmsWrWKadOm8dZbbwGwfft2h+VJSUkhJSUl4/vY2FiHbVvMdWbnj5T/eSzuFoNfinSlw6iPcHPTgUpERJxU/AWY3cc+J1aFptDnv+DmbnYqEckB089k3Uhqairbt2+nU6dOmdZ36tSJTZs25clzvvXWWwQGBmZ8VapUKU+eR/JX9JFtBCwZjhfpbPZsSfOx0/Hy1IFKREScVGoCzO0PV09AsaowaAF4+ZmdSkRyyKlL1qVLl7BarZQpUybT+jJlynDu3Lkcb6dz587069ePlStXUrFiRSIjI7O973PPPUdMTEzG16lTp3KdX5xD3LnDMKcPRUlkp1t9ao1ZQFFfb7NjiYiIZM2aDgsfgDM7wLc4DF0ERUuZnUpEboHplwvmxD8/M2MYxi19jmbVqlU5vq+3tzfe3voDvLBIvnKW+M97UM64yiGqUOKhbykZFGh2LBERkawZBnz/DBz6ATx8YPACKFHD7FQicouc+kxWyZIlcXd3v+6s1YULF647uyXyT9akWC580p1y1jP8aZTCNvgbKpUvZ3YsEREAevXqRbFixejbt6/ZUcSZ/DoJtv0XsECfL6BSc7MTiUguOHXJ8vLyomnTpqxevTrT+tWrV9OqVSuTUklBYKQlczyiF5VTDnPZCOBCz3nUrV3H7FgiIhnGjRvHzJkzzY4hzmTPQvjpZfvyvf+Bet1NjSMiuWf65YLx8fEcOXIk4/tjx46xc+dOihcvTuXKlZkwYQLDhg2jWbNmtGzZks8++4yTJ08yatQoE1OLU7PZOPLZMGrFbyPB8GZf+//StkmY2alERDJp3749a9euNTuGOIvjG2HJY/bllmOhhf7OESnITD+TtW3bNkJDQwkNDQVgwoQJhIaG8uKL9rmMBgwYwKRJk3j11VcJCQlh/fr1rFy5kipVqpgZW5yVYXBo5lhqXfyRVMOdjU0n0bZdp5s/TkTkb9avX0/37t0pX748FouFJUuWXHefqVOnUq1aNXx8fGjatCkbNmzI/6BSOFw4APMHgzUVgnvCPa+ZnUhEbpPpZ7LatWuHYRg3vM/o0aMZPXp0PiWyi4iIICIiAqvVmq/PK7fn6OLXqH18DgDf13yJnj0Gm5xIRAqihIQEGjduzMiRI+nTp891ty9YsIDx48czdepUWrduzaeffkqXLl2IioqicuXKADRt2jTTvIt/+fHHHylfvvwt5dEcjoVY3DmY0xeSY6BSC+j1GbiZ/h64iNwmi3GzhuPiYmNjCQwMJCYmhoCAALPjyA2c+OlTqmx8BoDFZR4nfNRrtzQKpYg4F2d5/bVYLCxevJjw8PCMdXfccQdNmjRh2rRpGevq1atHeHg4b731Vo63vXbtWqZMmcLChQtveL+XX36ZV1555br1Zv9u5DalxMP0rnB2FxSvAQ/9BH7FzU4lIjeQ02OT3iqRQuFc5GIqbPw3ACsCBtDtkVdVsEQkT6SmprJ9+3Y6dcp8KXKnTp3YtGlTnjyn5nAshKzpsHCkvWD5lYShC1WwRAoR0y8XFLld0Qc2EPTdI3hg42fvjrQfHYGnu94/EJG8cenSJaxW63VTiZQpU+a6KUdupHPnzvz+++8kJCRQsWJFFi9eTFhY1oP0aA7HQsYwYOWTcPhH8PC1z4VVvLrZqUTEgVSypEBL+HMvngsG4kMqm92b0nj0TIr4eJodS0RcwD/PlhuGcUtn0FetWuXoSFJQbPwQtk8nYy6sis3MTiQiDqa3+6XASo0+RfJXPfE34tlDLSo8vICSgUXNjiUihVzJkiVxd3e/7qzVhQsXrju7JXKd3d/Az9c+X3fvf6BeN3PziEieUMmSAsmWcIXLn3SjhPUSfxjlcR/6DZXLljI7loi4AC8vL5o2bcrq1aszrV+9ejWtWrUyKZUUCMd/haXXRktuMUZzYYkUYrpcUAqetCROT+tJpdTjnDOKcSF8Hi1qVjM7lYgUIvHx8Rw5ciTj+2PHjrFz506KFy9O5cqVmTBhAsOGDaNZs2a0bNmSzz77jJMnTzJqlP5olmxcPPS/ubDqdYdOr5udSETykEpWNjRPlpOypnPis4FUid9FrOHH3vZfcndoiNmpRKSQ2bZtG+3bt8/4fsKECQAMHz6c6dOnM2DAAC5fvsyrr77K2bNnadCgAStXrqRKlSpmRRZnFn8B5vSB5KtQMQx6f665sEQKOc2TdRPOMk+LAIbBiRmPUOX416QYnqwMnUqv8P5mpxKRPKLX3+v9/Q3AQ4cO6XdTEKQmwPT74MwOKFbNPhdWkZJmpxKRXNI8WVLonFryElWOf43VsLCo+suE9+xndiQRkXw1ZswYoqKiiIyMNDuK5ITNCgsftBcs3+Iw9FsVLBEXoZIlBcK5X6ZRaddHAMwv9QT9h43RZMMiIuK8DAN++Dcc+h7cvWHQfChRw+xUIpJPVLLE6UX/vphS658H4Osig+nz6Iu4u6lgiYiIE/ttKmz9zL7c+1OofIe5eUQkX6lkiVOLP7yRIssewR0b33neQ6fRk/DxdDc7loiISPailsKqifble16D+r3MzSMi+U4lS5xW6tm9MHcA3qSy3tKMxqO+JKiIt9mxREREsncqEhY9AhgQ9hC0etzsRCJiApUscUq2q3+S8N9wihrx7DDqUHLkHCqW0AhaIiLixKL/gHkDIT0ZanWGe98GfX5YxCWpZInzSbrC5U+7Uyz9IkeM8iT3m0Nw5bJmpxIREcleYjTM6QeJl6BcY+j7JbhrOlIRV6WSlY2IiAiCg4MJCwszO4prSUvi/Ke9KZX0B+eMYhy+ewYtG9QyO5WIiFPQsclJpSXD/MFw+QgEVITBX4N3UbNTiYiJNBnxTWgyzHxks3LuiwGUPbOaWMOPlc2+ZGD3LmanEhGT6PU3e/rdOBGbDRY9DHsXgncAPLAKygSbnUpE8ogmI5aCxTC48PU4yp5ZTYrhwYKabzOg271mpxIREbmxNa/bC5abB/SfqYIlIoBKljiJyz+8SekDs7EZFr4s8zwjBw/VZMMiIuLcts+ADe/bl7t/BDXam5tHRJyGSpaYLnbzdEpseQeAL/wfZfhDT+Dhrl1TRESc2JGfYcW/7Mttn4HQoebmERGnor9kxVTJ+1ZSZJX9IDXbsw+9R72Kn5dGYxIRESd2fh98PRwMKzQaAO2fNzuRiDgZlSwxTfrJSCwLR+KOjeWWu2j9yMeULKrJhkVExInFnrUP1Z4aB1XuhB6TNReWiFxHJUtMYVw6QvKMvngbyWywNabC8C+oVkrD3YqIiBNLiYe5/SH2NJSsDQNmgYfeHBSR66lkSf6LO0/sFz0oar3Kbls1Uvp8RZOqpc1OJSIikj1rOix8AM7tBr+S9rmw/IqbnUpEnJRKluSvlDiufBFOYPJpjtvKsL/9f7m7cQ2zU4mIiGTPMOCHf8PhVeDhA4MXQPFqZqcSESemkiX5Jz2VK9MHUSwmiktGACtDIhjQvqnZqURECoyIiAiCg4MJCwszO4pr2RwBkZ8DFuj9GVRsZnYiEXFyKlnZ0IHMwQyD2K8fpdjZDSQY3vy3yjuMCr/b7FQiIgXKmDFjiIqKIjIy0uwormP/cvjx/+zL97wKwT3NzSMiBYJKVjZ0IHOshJX/R8ChRaQZ7kwq/n88Maw/bm4ajUlERJzYn9vh24cBA5o9AK0eNzuRiBQQKlmS51J+nUqRyCkAvO87ljEPj8LH093kVCIiIjdw5QTMGwDpSVDzHujyroZqF5EcU8mSPGXdsxjP1fZJGqdYBjH44X8T5OdlcioREZEbSLpqnwsr4SKUaQj9vgJ3D7NTiUgBopIlecY4vhHbokdww2Cu7R7uHPkWlUv4mR1LREQke+mp8PUwuHQQ/MvZRxL09jc7lYgUMCpZkjfOR5E6awCeRiqrrM0o0f8jQioXMzuViIhI9gwDVvwLjq0Hr6L2ubACK5idSkQKIJUscbyY0yRN74W3NZ5IW23O3zOFzg10kBIRESe34X3YORssbtD3KyjXyOxEIlJAqWSJYyVdJfGrXvgmneOIrTxrQj/m/rb1zE4lIiJyY3sWwi+v2Ze7vAO1O5mbR0QKNJUscZz0FJJmDcTv6kHOG0H8t+p7PNmzhdmpREREbuzEZljymH255Vho/rC5eUSkwNNQOeIYNhsp3zyM75nNxBm+vFn8df4z9F7cNReWiIg4s8tHYf5gsKZC3W5wz2tmJxKRQkBnssQh0n94Hu+DS0k13HnB59/83wP98fXSXFgiIo4UERFBcHAwYWFhZkcpHBKj7UO1J0VD+SbQ+3Nw059GInL79Eoit83262Q8tk4D4EXLGMY++CCl/L1NTiUiUviMGTOGqKgoIiMjzY5S8KWnwPwhEH0UAivBoPngpWlGRMQxVLLk9uxZiNvq/wPgbetgeg4bT83Smk9EREScmGHA0jFwchN4B8CQb8C/jNmpRKQQUcnKhi7JyIFj67EuGgXAl+n3UrvX87SsUcLkUCIiIjex9i3Y8w24eUD/mVBao+CKiGOpZGVDl2TcxPl9pM8dhLuRxgrrHcTe9Qq9mlQyO5WIiMiN7ZwH6962L9/3AdRob24eESmUVLLk1sX8SdrM3nikxbPFVpf19V/jibvrmJ1KRETkxo5vhGWP25fv/Bc0HW5uHhEptDSEu9yapKukz+yNZ8I5Dtkq8Fn515jWNwyLRUO1i4iIE7t02D7QhS0NgsOhw4tmJxKRQkwlS3IuLRnrvMF4XD7IOaMYL/i/wmf3t8fLQydERUTEiSVctg/VnnwVKjSDXp9oqHYRyVN6hZGcsdmwLR6F+8lfiTV8ecJ9Iu880JVAP0+zk4mIiGQvLdk+2fCVYxBU2T5Uu6ev2alEpJBTyZKc+fH/cItaTKrhzljrkzx9fx+qlChidioREZHs/TVU+6nfwDsQhiyEoqXMTiUiLkAlS25u0xT4LQKAp9Ieo0/fwTSrWtzkUCIiIjex5k3Yu9A+VPuAmVBKgzSJSP5QyZIb2/st/DgRgDfTBlGz4wh6hlQwOZSIiMhN7JwH69+xL3ebBNXbmZlGRFyMSpZk79gGbNcmG/4qvTMXGz7K4x1qmhxKRETkJo5tyDxUe5Nh5uYREZejkiVZOx+Fbf5g3GyprLQ254cK4/hP30Yaql1ExEQREREEBwcTFhZmdhTndekwLBiqodpFxFQqWXK9mNMYs/vglhLLVlsdPvR/imn3N8fbw93sZCIiLm3MmDFERUURGRlpdhTn9Peh2iuGaah2ETGN5smSzJJjMOb0xRJ3hiO28kxwe5bpI1pTvIiX2clERESyl54CC4b8b6j2gfM0VLuImEZv78j/pKfA/CFYLkRxwQjiwfR/8/bQu6hZuqjZyURERLL311DtJzfbh2of/I2GahcRU6lkiZ3NBktGw/ENxBs+jEh9hlHh7Wlds6TZyURERG5s7Vuw5xv7UO39Z0DpumYnEhEXp5KVDZf7cPHPL8PehaQZ7oxK+xetWrdnUPPKZqcSERG5sV3zYd3b9uX7PoAa7c3NIyKCSla2XOrDxVs+g18/AuDZtIfxrt2R57rWMzmUiIjITRz/FZaOtS+3fgKaDjc3j4jINRr4wtXtX47x/TNYgHfT+hNV+j4WDgrF3U1DtYuIiBO7fNQ+0IUtDer1gI4vm51IRCSDSpYrO7kF49uHsGAwJ70jC3z6s3REGEW9tVuIiIgTS4y2D9WedAUqNIVen2qodhFxKvpr2lVdOgzzBmBJT2a1tQmv8wBzhjejQpCGuxURESeWnmKfbDj6KARWsg/V7uVndioRkUz0to8rijsPs3tD0hV22mowLm0sb/UJpUnlYmYnExERyZ5hwPIn4MSv4OUPg78G/zJmpxIRuY5KlqtJiYe5/eHqSY4bZXkg9WlGtqtPeGgFs5OJiIjc2Ib3YNc8sLhD/+lQJtjsRCIiWVLJciXWNPhmBJzdSTQBDE99hmbBtXiqUx2zk4mIiNzY3m/hl9fty13fgZp3m5tHROQGVLJchWHAin/BkdUk483IlKfwLVOLDweE4KaRBEVExJmd2gqLH7MvtxgDYQ+Zm0dE5CY08IWrWPcO7JiFDTfGpI7lT79glg5vRhGNJCgiIs7synGYNwisKVCnK3R6zexEIiI3pb+wXcHvs2DtmwD8X9pI1luaMXdYUyoW02hMIiLixJKuwpz+kHgJyjaC3p+Dm7vZqUREbkqXCxZ2h3+yj8QETEnvyVxrR94Ib0hY1eImBxMRkVsVERFBcHAwYWFhZkfJe399jvjSQfAvD4MXgHdRs1OJiOSISlZhdmYnfH0/GFaWGm14L70/I1tXpX9YJbOTiYhILowZM4aoqCgiIyPNjpK3DAO+exL+WAOeRWDwfAgob3YqEZEcU8kqrK6cgDn9IC2BSLfGPJXyMHfWLMXErvXMTiYiInJjm6fA7zMAC/T5Aso1NjuRiMgtUckqjBKjYXYfSLjACY9qjEx8nPIlApgyOBQPd/2Ti4iIE9u/An58wb7c+U2o29XcPCIiuaC/uAubtGSYPxguHybGswz945/E8PLn8/ubEeTnZXY6ERGR7J3ZAYseBgxo9iC0eMzsRCIiuaLRBQsTmw0WPwInN5Pq4U/f+Cc5T3E+GxBC7TL+ZqcTERHJXsxpmDsQ0hKhRgfo8g5YNI+jiBRMOpNVmPz4fxC1FJubFw8kj+ewUZHxd9eiU/2yZicTERHJXko8zB0A8eegVD3oNx3c9T6wiBRcKlmFxeap8FsEAC9ZRrMxvR6dgsswrkMtk4OJiIjcgM0K3z4I5/dAkVL2odp9As1OJSJyW1SyCoN9S2DV8wDM8n+QWQnNqVW6KB8MCMHNTZdaiIiIE/vx/+DQD+DhAwPnQbEqZicSEbltKlnZKDATPp7YDIseAQy2lOzNCxc74O/twafDmlLUW5daiIiIE9v6Ofw21b4cPg0qOfkxV0Qkh1SyslEgJny8eAjmDQRrCqfLdGDQn70BC5MGhlC9VFGz04mIiGTv8E/w/bP25Q4vQIPe5uYREXEglayCKu68fS6s5Ksklm5Cl9PDseHG+Ltr0bFeGbPTiYiIZO98FHwzAgwrNB4MbZ40O5GIiEOpZBVEKfEwtx/EnMQaVI1+MeOITfekY93SGuhCREScW/wF+0iCqXFQpTV0n6Sh2kWk0FHJKmis6fZ3/87uwvArwTM+L7IvxouqJfw00IWIiDi3tCSYNwhiTkLx6jBgNnh4m51KRMThVLIKEsOA7/4FR1aDhy9zqr/Lt8e98fF045NhTQn09TQ7oYiISNZsNlgyGk5vA58gGPwN+BU3O5WISJ5QySpI1r8Hv88Eixs77/iA/9vmA8DbfRpRt2yAyeFERERuYO1bsG8RuHnYz2CVrGl2IhGRPKOSVVDsnAtrXgfgctvXGfZrCQBGtKpKz5AKZiYTERG5sV0LYP079uXuH0G1NubmERHJYypZBcHRX2DZ4wCkt3yCobsbEZecTpPKQTzftZ7J4URERG7gxCZYNta+3Ho8hA41NY6ISH5QyXJ25/bAgvvBlg4N+jIxthf7z8ZSoogXEUOa4OWhf0IREXFSl4/C/CFgTYV6PaDjS2YnEhHJF/oL3ZnF/Alz+tmHua3ahoUVn2fB9jO4WeDjQaGUC/Q1O6GIiEjWkq7Yh2pPiobyodDrU3DTnx0i4hr0aueskq7C7L4QdxZK1eVgu2lMXHEIgAn31KZ1zZLm5hMREcmONQ2+vh8uH4aACjBoPnj5mZ1KRCTfqGQ5o/QUWDAULu4H/3LE953PqIVHSUm30a5OKUa304hMIiKuKCIiguDgYMLCwsyOkj3DgO8mwLH14FUUBi8A/7JmpxIRyVcqWc7GMGDpWDi+AbyKYgxewL9/vsKxSwmUD/Thw/6acFhExFWNGTOGqKgoIiMjzY6SvU2TM6Yboc9/oWxDsxOJiOQ7lSxn8/OrsOdr+zwi/Wcy+3ggK3afxcPNwuTBTShWxMvshCIiIlk78B2sftG+3OkNqHOvuXlEREyikuVMtn0JGz+wL3f/iH1+zXhtxX4A/t2lLk2rFDMxnIiIyA2c2QnfPgQY0OxBaPGY2YlEREyjkuUsDv4A3z1pX273HAnBA3l87g5SrTburleaB++sZm4+ERGR7MSegXkDIS0RanSALu+ARZe2i4jrUslyBqd/h4UjwbDZJ2m861leWraPPy4lUDbAh3f7Nsaig5WIiDij1AT7UO3XRsOl33Rw9zA7lYiIqVSyzBZ9DOb2/9+7f90msWTnGRZu/xM3C0waGKLPYYmIiHOy2WDRI3BuN/iVtI8k6BNodioREdOpZJkpMRrm9IWEi/bRl/rP5OTVNCYu3gPAuI61aFG9hMkhRUREsvHTS3BgBbh7w8C5UKyq2YlERJyCSpZZ0pJg3iC4fAQCKsLgb7B6FmXC1ztJSLXSvGpxHu9Qy+yUIiIiWds+AzZ9bF8OnwqV7zA3j4iIE1HJMoPNBotHwanfwDsQhi6EgHJ8uv4o205coai3B+/3b4y75sMSERFn9Mc6+4TDAHf9Gxr2NTePiIiTUckyw+oXIGoJuHnCwNlQuh77zsTw4epDALzcoz6VivuZm1FERCQrlw7D18PAlg4N+kK7f5udSETE6ahk5bffPoHNU+zL4dOgWluS06z8a8FO0qwGneuXoU+TCuZmFBERyUpiNMzpB8kxUDEMekZoqHYRkSyoZOWn/cvhh2vv+HV8CRr1A2DST4c5dD6ekkW9ebNXQw3XLiIizic9FRYMhSvHILCyfaALTx+zU4mIOCWVrPxyait8+xBgQLMH4M5/AbD3dAyfb/gDgDd7NaBEUW8TQ4qIiGTBMGDFeDjxK3j524dqL1ra7FQiIk5LJSs/XD5qn6gxPRlqdYYu74LFQprVxjMLd2O1GXRrVI5O9cuanVREROR6Gz+EnXPA4mafbLhMsNmJREScmkpWXou/CLP7QFI0lA+Ffl+BuwcAn2/4g6izsQT5efJyj/omBxUREclC1DL4+RX78r1vQ627zc0jIlIAqGTlpdREmDfQfv16UGUY/DV4FQHg6MV4Jv10GIAXuwVTUpcJioiIszn9Oyx6xL7c/BG44xFz84iIFBAqWdmIiIggODiYsLCw3G/k6C9wehv4BMGQbzOuXzcMgxeX7iU13Ubb2qXoFarRBEVExMnEnIZ5gyA9CWreA53fMjuRiEiB4WF2AGc1ZswYxowZQ2xsLIGBgbnbSL1u0PdL8C8PpWpnrP5p/wV+PXIZLw833ghvoNEERUTEuaTEw7wBEH8OSgfbj2Xu+pNBRCSn9IqZ1xr0yfRtarqNN76LAuChO6tp0mEREXEuNissehjO7YEipWDQfPAJMDuViEiBossF89nMzcc5fjmRkkW9Gd2+ptlxREREMvvpJTi4Ety97XNhFatidiIRkQJHJSsfRSek8tHP9sEunulch6LeOpEoIiJOZPsM2DTZvhw+FSo1NzePiEgBpZKVjz5cfYi45HSCywXQp2lFs+OIiIj8z7H18N0E+3K756BhX3PziIgUYCpZ+eT01STmbT0JwAvdgnF302AXIiLiJC4dgQXDwJZu/yzxXc+anUhEpEBTyconn6//g3SbQasaJWhZo4TZcUREROwSo2FuP0i+ChXDoOdU0Ki3IiK3RSUrH1yOT2F+pP0s1uh2GuxCREScRHoqfH0/RP8BgZXtA114+pidSkSkwFPJygfTNx0nOc1Go4qBtK6ps1giIuIEDAO++xcc3wBe/jB4ARQtbXYqEZFCQSUrj8UlpzFj03EARreroYmHRUTEOWyaDDtmg8XNPtlwmWCzE4mIFBoqWXls7paTxCanU6NUEToFlzU7joiICBz4Dla/aF/u/BbU7mRuHhGRQkYlKw8lp1n5YuMxAEbdVQM3jSgoIiJmO7sLvn0IMCDsIbjjUbMTiYgUOipZeWjj4UtcjEuhfKAPPUMqmB1HREQKuIiICIKDgwkLC8v9RnYtgLREqNEB7n1bIwmKiOQBi2EYhtkhnFlsbCyBgYHExMQQEBBwy4/f82cMlxJSaF9HHyYWEbkVt/v6W5jd1u/GMGDr59CoP/gG5Uk+EZHCKqevvx75mMklNawYaHYEERGR/7FY4I5HzE4hIlKo6XJBERERERERB1LJEhERERERcSCVLBEREREREQdSyRIREREREXEglSwREREREREHUskSERERERFxIJUsERERERERB1LJEhERERERcSCVLBEREREREQdSyRIREREREXEglSwREREREREHUskSERERERFxIJUsERERERERB1LJEhERERERcSAPswM4O8MwAIiNjTU5iYiIa/nrdfev12H5Hx2bRETMkdNjk0rWTcTFxQFQqVIlk5OIiLimuLg4AgMDzY7hVHRsEhEx182OTRZDbxHekM1m48yZM/j7+9O8eXMiIyOzvW9YWNh1t8fGxlKpUiVOnTpFQEBAXse9LVnld8bt52Y7t/KYnN73Zve70e3aV/Jn+9pXzHc7/5aGYRAXF0f58uVxc9PV7X+X02NTdr9/V9mH8mv7ud2Go19vHP1aA9pX8mL7znBsup19JbvbXWVfyemxSWeybsLNzY2KFSsC4O7ufsOd5ka3BwQEOP0Od7Ofz1m2n5vt3Mpjcnrf29kftK/kz/a1r5jvdv8tdQYrazk9Nt3s9+8K+1B+bD+323D0601evdaA9hVHbt8Zjk23s6/c7HZX2FdycmzSW4O3YMyYMbd1u7PL6/yO2n5utnMrj8npfW9nf9C+kj/b175ivoKevyAozPsPFIzXm9xuw9GvN678WgMFY1/J7XacaV+51TzOKD/y63LBPBYbG0tgYCAxMTFO3+rFXNpXJKe0r8jt0j4kOaV9RXJK+0pmOpOVx7y9vXnppZfw9vY2O4o4Oe0rklPaV+R2aR+SnNK+IjmlfSUznckSERERERFxIJ3JEhERERERcSCVLBEREREREQdSyRIREREREXEglSwREREREREHUskSERERERFxIJUsJ3Hq1CnatWtHcHAwjRo14ptvvjE7kjixXr16UaxYMfr27Wt2FHFCK1asoE6dOtSqVYsvvvjC7DhSgOnYJLdCxybJjiselzSEu5M4e/Ys58+fJyQkhAsXLtCkSRMOHjxIkSJFzI4mTmjNmjXEx8czY8YMFi5caHYccSLp6ekEBwezZs0aAgICaNKkCVu2bKF48eJmR5MCSMcmuRU6NklWXPW4pDNZTqJcuXKEhIQAULp0aYoXL050dLS5ocRptW/fHn9/f7NjiBPaunUr9evXp0KFCvj7+9O1a1dWrVpldiwpoHRskluhY5NkxVWPSypZObR+/Xq6d+9O+fLlsVgsLFmy5Lr7TJ06lWrVquHj40PTpk3ZsGFDrp5r27Zt2Gw2KlWqdJupxQz5ua9I4XO7+8+ZM2eoUKFCxvcVK1bk9OnT+RFdTKBjk+SUjk2SWzou5Y5KVg4lJCTQuHFjpkyZkuXtCxYsYPz48UycOJEdO3bQpk0bunTpwsmTJzPu07RpUxo0aHDd15kzZzLuc/nyZe6//34+++yzPP+ZJG/k174ihdPt7j9ZXQFusVjyNLOYR8cmySkdmyS3dFzKJUNuGWAsXrw407rmzZsbo0aNyrSubt26xr///e8cbzc5Odlo06aNMXPmTEfEFCeQV/uKYRjGmjVrjD59+txuRHFiudl/fv31VyM8PDzjtnHjxhlz5szJ86xiPh2bJKd0bJLc0nEp53QmywFSU1PZvn07nTp1yrS+U6dObNq0KUfbMAyDESNG0KFDB4YNG5YXMcUJOGJfEdeVk/2nefPm7N27l9OnTxMXF8fKlSvp3LmzGXHFZDo2SU7p2CS5peNS9jzMDlAYXLp0CavVSpkyZTKtL1OmDOfOncvRNn799VcWLFhAo0aNMq51nTVrFg0bNnR0XDGRI/YVgM6dO/P777+TkJBAxYoVWbx4MWFhYY6OK04mJ/uPh4cH77//Pu3bt8dms/HMM89QokQJM+KKyXRskpzSsUlyS8el7KlkOdA/ry81DCPH15zeeeed2Gy2vIglTuh29hXAJUblkezdbP/p0aMHPXr0yO9Y4qR0bJKc0rFJckvHpevpckEHKFmyJO7u7te923PhwoXrmr24Nu0rcju0/8it0P4iOaV9RXJL+072VLIcwMvLi6ZNm7J69epM61evXk2rVq1MSiXOSPuK3A7tP3IrtL9ITmlfkdzSvpM9XS6YQ/Hx8Rw5ciTj+2PHjrFz506KFy9O5cqVmTBhAsOGDaNZs2a0bNmSzz77jJMnTzJq1CgTU4sZtK/I7dD+I7dC+4vklPYVyS3tO7lk3sCGBcuaNWsM4Lqv4cOHZ9wnIiLCqFKliuHl5WU0adLEWLdunXmBxTTaV+R2aP+RW6H9RXJK+4rklvad3LEYRhYzhImIiIiIiEiu6DNZIiIiIiIiDqSSJSIiIiIi4kAqWSIiIiIiIg6kkiUiIiIiIuJAKlkiIiIiIiIOpJIlIiIiIiLiQCpZIiIiIiIiDqSSJSIiIiIi4kAqWSIiIiIiIg6kkiUiIiIiIuJAKlkiBcwPP/yAr68v6enpGev279+PxWLh0qVLJiYTERFXpOOSyPVUskQKmJ07d1K/fn08PDwyratQoQIlS5Y0MZmIiLgiHZdErqeSJVLA7Nq1i5CQkEzrduzYQePGjW9pOz/99BMffvihA5OJiIgr0nFJ5HoqWSIFzM6dO687cGW17mbuvvtu/vWvfzkymoiIuCAdl0Sup5IlUoAkJSVx+PDhTO8Y2mw2fv/994yDWZcuXZgwYQItWrSgbt26REZG0qNHD6pUqcJnn32W8bguXbqwf/9+unTpwksvvUSLFi2oUqUKUVFR+f1jiYhIAaXjkkjWVLJECpCjR49itVqpU6dOxrpVq1Zx+fLljIPZ3r17adSoEb/99hvNmzfn2WefZd68eSxdupSvvvoq43GHDx+mVq1a7N27l2rVqvHbb7/x8MMPs3z58nz/uUREpGDScUkkaypZIgVIiRIlsFgsbN26FYDffvuNsWPH4uvrS61atYiJicHLy4sRI0YA4OPjwxNPPEGRIkXw9vYmMDAQgJiYGIoWLUpCQgKenp4Z9/fy8iIoKMiEn0xERAoiHZdEsqaSJVKAlCtXjtdee43777+fypUrM3XqVPr160f9+vVxd3dn7969hIWFZdx/z5493HHHHRnLDRo0AOzvKtavX5+9e/fSvHnzjPv/tV5ERCQndFwSyZrHze8iIs5k4sSJTJw4Mcvb9u7dS8OGDQEwDIPz589TtmzZ627bu3cvDRo0yLQOMh/wREREckLHJZHr6UyWSCGyb9++jIPT8ePHqVq1asZtfz9w7du3jwYNGmS6f3p6OvHx8bosQ0REHEbHJXFVFsMwDLNDiIiIiIiIFBY6kyUiIiIiIuJAKlkiIiIiIiIOpJIlIiIiIiLiQCpZIiIiIiIiDqSSJSIiIiIi4kAqWSIiIiIiIg6kkiUiIiIiIuJAKlkiIiIiIiIOpJIlIiIiIiLiQCpZIiIiIiIiDqSSJSIiIiIi4kD/D/jBFK+OH3OSAAAAAElFTkSuQmCC", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10,5))\n", + "plt.subplot(121)\n", + "\n", + "rho= 0.01\n", + "fast_uhm_arr = np.array([u_fwhm_interp([rho, umin])[0] for umin in umin_arr])\n", + "uhm_point_arr = np.array([(2* f_func(f_func(umin**2)))**(1/2) for umin in umin_arr])\n", + "fast_Amax_arr = np.array([fast_magnification_finite_new(umin, rho) for umin in umin_arr])\n", + "ut_arr = np.array([ut_func_new(rho, Amax) for Amax in fast_Amax_arr])\n", + "plt.plot(umin_arr, fast_uhm_arr, label='uhm finite')\n", + "plt.plot(umin_arr, uhm_point_arr, label='uhm point')\n", + "plt.plot(umin_arr, ut_arr, label='ut')\n", + "\n", + "plt.xlabel(r'$u_{min}$')\n", + "plt.ylabel(r'$u_{hm}$')\n", + "plt.title(r'$\\rho = $ ' + str(rho))\n", + "plt.xscale('log')\n", + "plt.yscale('log')\n", + "plt.legend()\n", + "\n", + "plt.subplot(122)\n", + "rho= 1.5\n", + "fast_uhm_arr = np.array([u_fwhm_interp([rho, umin])[0] for umin in umin_arr])\n", + "uhm_point_arr = np.array([(2* f_func(f_func(umin**2)))**(1/2) for umin in umin_arr])\n", + "fast_Amax_arr = np.array([fast_magnification_finite_new(umin, rho) for umin in umin_arr])\n", + "ut_arr = np.array([ut_func_new(rho, Amax) for Amax in fast_Amax_arr])\n", + "plt.plot(umin_arr, fast_uhm_arr, label='uhm finite')\n", + "plt.plot(umin_arr, uhm_point_arr, label='uhm point')\n", + "plt.plot(umin_arr, ut_arr, label='ut')\n", + "\n", + "plt.xlabel(r'$u_{min}$')\n", + "plt.title(r'$\\rho = $ ' + str(rho))\n", + "plt.xscale('log')\n", + "plt.yscale('log')\n", + "plt.show()\n" + ] + }, + { + "cell_type": "code", + "execution_count": 1429, + "metadata": {}, + "outputs": [], + "source": [ + "rho = 2.1\n", + "# rho = 0.01\n", + "\n", + "ut = 1\n", + "umin_arr = np.logspace(np.log10(0.01), np.log10(2), 100)\n", + "tfwhm_arr = np.array([t_fwhm(10, umin, True, rho, ut_func_new(rho, 1.34)) for umin in umin_arr])\n", + "tfwhm_arr_point = np.array([t_fwhm(10, umin, False, rho, ut_func_new(rho, 1.34)) for umin in umin_arr])\n", + "t_duration_arr = np.array([t_duration(10, umin, True, rho, 1) for umin in umin_arr])\n", + "\n", + "rho_arr = np.linspace(0.01, 3, 100)\n", + "tfwhm_arr2 = np.array([t_fwhm(10, 0.1, True, rho, ut_func_new(rho, 1.34)) for rho in rho_arr])\n", + "tfwhm_arr_point2 = np.array([t_fwhm(10, 0.1, False, rho, ut_func_new(rho, 1.34)) for rho in rho_arr])\n", + "t_duration_arr2 = np.array([t_duration(10, 0.1, True, rho, 1) for rho in rho_arr])" + ] + }, + { + "cell_type": "code", + "execution_count": 1430, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10,5))\n", + "plt.subplot(121)\n", + "plt.title('t_e = 10, rho = {}'.format(rho))\n", + "\n", + "plt.plot(umin_arr, tfwhm_arr, label='fwhm finite')\n", + "plt.plot(umin_arr, tfwhm_arr_point, label = 'fwhm point', linestyle='--')\n", + "plt.plot(umin_arr, t_duration_arr, label='duration', linestyle='--')\n", + "plt.ylabel(r'$t$')\n", + "plt.xlabel(r'$u_{\\rm min}$')\n", + "# plt.xscale('log')\n", + "plt.legend()\n", + "plt.subplot(122)\n", + "plt.plot(rho_arr, tfwhm_arr2)\n", + "plt.plot(rho_arr, tfwhm_arr_point2, linestyle='--')\n", + "plt.plot(rho_arr, t_duration_arr2, linestyle='--')\n", + "plt.title(r't_e = 10, u_min = 0.1')\n", + "plt.xlabel(r'$\\rho$')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 1620, + "metadata": {}, + "outputs": [], + "source": [ + "from scipy.integrate import quad_vec" + ] + }, + { + "cell_type": "code", + "execution_count": 29, "metadata": {}, "outputs": [], "source": [ "#| export\n", + "\n", + "\n", "class Pbh(Lens):\n", " \"\"\"A class to represent a PBH population\"\"\"\n", "\n", @@ -128,8 +456,7 @@ " raise ValueError(\"Lognormal mass function not initialized\")\n", " return 1 / (m * self.sigma * np.sqrt(2 * np.pi)) * np.exp(-(np.log(m/self.mass))**2 / (2 * self.sigma**2))\n", "\n", - " def differential_rate_integrand(self, umin, d, t, model, finite=False, v_disp=None, t_e = False, tmax=np.inf, tmin=0):\n", - " # def differential_rate_integrand(self, umin, d, t, mf, model, finite=False, v_disp=None, t_e = False, tmax=np.inf, tmin=0):\n", + " def differential_rate_integrand(self, umin, d, t, model, finite=False, v_disp=None, t_e = False, tmax=np.inf, tmin=0, t_fwhm=False):\n", "\n", " r = model.dist_center(d, self.l, self.b)\n", " ut = self.umin_upper_bound(d) if finite else self.u_t\n", @@ -141,12 +468,23 @@ " t_duration = max(ut, self.umin_upper_bound(d)) * 2 * einstein_rad(d, self.mass) * kpctokm / v_rad / htosec #event duration in hours\n", "\n", " if t_duration > tmax or t_duration < tmin:\n", - " return 0 \n", + " return 0 \n", + " elif t_fwhm:\n", + " # if finite:\n", + " # t_E = t_E_from_t_fwhm_finite(t, umin, rho_func(self.mass, d, self.ds))\n", + " # else:\n", + " # t_E = t_E_from_t_fwhm(t, umin)\n", + " t_E = t_e_from_fwhm(t, umin, finite, rho_func(self.mass, d, self.ds), ut)\n", + " # t_E = t_e_from_fwhm(t, umin, True, rho_func(self.mass, d, self.ds), ut)\n", + "\n", + " v_rad = einstein_rad(d, self.mass, self.ds) * kpctokm / (t_E * htosec)\n", " else:\n", " #Calculate radial velocity in terms of event duration (t_fwhm)\n", " v_rad = velocity_radial(d, self.mass, umin, t * htosec, ut) \n", " if v_disp is None: \n", " v_disp = model.velocity_dispersion_dm(r)\n", + " # v_disp = model.velocity_dispersion_nfw(r)\n", + "\n", " return 2 * (1 / (ut**2 - umin**2)**0.5 *\n", " model.density_dm(d, self.l, self.b) / (self.mass * v_disp**2) * \n", " v_rad**4 * (htosec / kpctokm)**2 *\n", @@ -159,54 +497,100 @@ " def differential_rate_integrand_m31(self, umin, d, t, finite=False):\n", " return self.differential_rate_integrand(umin, d, t, self.m31_model, finite=finite)\n", " \n", - " def differential_rate(self, t, integrand_func, finite=False):\n", - " if finite:\n", - " result, error = dblquad(integrand_func, \n", - " 0, self.d_upper_bound(),\n", - " lambda d: 0, \n", - " lambda d: self.umin_upper_bound(d),\n", - " args=[t],\n", - " epsabs=0,\n", - " epsrel=1e-1,\n", - " )\n", - " else:\n", - " result, error = dblquad(integrand_func,\n", - " #Without finite size effects, integral blows up at M31 center\n", - " 0, self.ds*0.99,\n", - " lambda d: 0, \n", - " lambda d: self.u_t,\n", - " args=[t],\n", - " epsabs=0,\n", - " epsrel=1e-1,\n", - " )\n", + " def differential_rate(self, t, integrand_func, finite=False, epsabs=1.49e-08, epsrel=1.49e-08):\n", + " # if finite:\n", + " # result, error = dblquad(integrand_func, \n", + " # 0, self.d_upper_bound(),\n", + " # lambda d: 0, \n", + " # lambda d: self.umin_upper_bound(d),\n", + " # args=[t],\n", + " # epsabs=0,\n", + " # epsrel=1e-1,\n", + " # )\n", + " # else:\n", + " # result, error = dblquad(integrand_func,\n", + " # #Without finite size effects, integral blows up at M31 center\n", + " # 0, self.ds*0.99,\n", + " # # 0, self.d_upper_bound(),\n", + " # lambda d: 0, \n", + " # lambda d: self.u_t,\n", + " # args=[t],\n", + " # epsabs=0,\n", + " # epsrel=1e-1,\n", + " # )\n", + " # return result\n", + "\n", + " def inner_integrand(u, d, t):\n", + " return integrand_func(u, d, t)\n", + " \n", + " # Second integral (over u) - bounds given by d\n", + " def second_integral(d, t):\n", + " if finite:\n", + " u_min, u_max = 0, self.umin_upper_bound(d)[0]\n", + " else:\n", + " u_min, u_max = 0, self.u_t\n", + "\n", + " result, error = quad(inner_integrand, u_min, u_max, args=(d, t), epsabs=epsabs, epsrel=epsrel)\n", + "\n", + " return result\n", + " \n", + " # Outermost integral (over d)\n", + " d_min, d_max = 0, self.d_upper_bound() if finite else self.ds\n", + " result, error = quad(second_integral, d_min, d_max, args=(t,), epsabs=epsabs, epsrel=epsrel)\n", " return result\n", "\n", " def rate_total(self, integrand_func, finite=True, tcad=0.07, tobs=3, epsabs = 1.49e-08, epsrel = 1.49e-08, efficiency=None): \n", " \n", - " if efficiency is None:\n", - " def efficiency(t):\n", - " return 1\n", + " # if efficiency is None:\n", + " # def efficiency(t):\n", + " # return 1\n", " \n", - " point = self.sticking_point()\n", + " # point = self.sticking_point()\n", "\n", - " def integrand(t, d, finite):\n", - " if finite:\n", - " u_bounds = [0, self.umin_upper_bound(d)]\n", - " else:\n", - " u_bounds = [0, self.u_t]\n", - " u_result, _ = nquad(integrand_func, [u_bounds], args=(d, t))\n", - " return u_result * efficiency(t)\n", + " # def integrand(t, d, finite):\n", + " # if finite:\n", + " # u_bounds = [0, self.umin_upper_bound(d)]\n", + " # else:\n", + " # u_bounds = [0, self.u_t]\n", + " # u_result, _ = nquad(integrand_func, [u_bounds], args=(d, t))\n", + " # return u_result * efficiency(t)\n", "\n", - " bounds_t = [tcad, tobs]\n", + " # bounds_t = [tcad, tobs]\n", "\n", - " if finite:\n", - " bounds_d = [0, min(self.d_upper_bound(), self.ds)]\n", - " else:\n", - " bounds_d = [0, self.ds]\n", + " # if finite:\n", + " # bounds_d = [0, min(self.d_upper_bound(), self.ds)]\n", + " # else:\n", + " # bounds_d = [0, self.ds]\n", + "\n", + " # opts = {\"epsabs\": epsabs, \"epsrel\": epsrel, \"points\":[point, self.ds]}\n", "\n", - " opts = {\"epsabs\": epsabs, \"epsrel\": epsrel, \"points\":[point, self.ds]}\n", + " # result, error = nquad(integrand, [bounds_t, bounds_d], args=[finite], opts=opts)\n", + " # return result\n", + "\n", + " # Innermost double integral\n", + " def inner_integrand(u, d, t):\n", + " return integrand_func(u, d, t)\n", + " \n", + " # Second integral (over u) - bounds given by d\n", + " def second_integral(d, t):\n", + " if finite:\n", + " u_min, u_max = 0, self.umin_upper_bound(d)[0]\n", + " else:\n", + " u_min, u_max = 0, self.u_t\n", + " \n", + " result, error = quad(inner_integrand, u_min, u_max, args=(d, t), epsabs=epsabs, epsrel=epsrel)\n", "\n", - " result, error = nquad(integrand, [bounds_t, bounds_d], args=[finite], opts=opts)\n", + " return result\n", + " \n", + " # Outermost integral (over d)\n", + " def outer_integral(t):\n", + " d_min, d_max = 0, self.d_upper_bound() if finite else self.ds\n", + " result, error = quad(second_integral, d_min, d_max, args=(t,), epsabs=epsabs, epsrel=epsrel)\n", + " # return result * self.mass_function(mf) * mf * np.log(10) # multiply by mass function and by dlogm * m\n", + " return result \n", + " \n", + " # Integrate over time\n", + " result, error = quad(outer_integral, tcad, tobs, epsabs=epsabs, epsrel=epsrel)\n", " return result\n", " \n", " \n", @@ -220,8 +604,10 @@ " return d\n", " return self.ds\n", " \n", - " def rate_mw(self, finite=False, tcad = 0.07, tobs = 3):\n", - " return self.rate_total(self.differential_rate_integrand_mw, finite=finite, tcad=tcad, tobs=tobs)\n", + " def rate_mw(self, finite=False, tcad = 0.07, tobs = 3, efficiency=None, epsabs = 1.49e-08, epsrel = 1.49e-08):\n", + " def integrand_func(umin, d, t):\n", + " return self.differential_rate_integrand_mw(umin, d, t, finite=finite,)\n", + " return self.rate_total(integrand_func, finite=finite, tcad=tcad, tobs=tobs, efficiency=efficiency, epsabs=epsabs, epsrel=epsrel)\n", " \n", " def rate_m31(self, finite=False):\n", " result = self.rate_total(self.differential_rate_integrand_m31, finite=finite)\n", @@ -233,14 +619,14 @@ " def rate_tot(self, finite=False):\n", " return self.rate_mw(finite=finite) + self.rate_m31(finite=finite)\n", " \n", - " def differential_rate_mw(self, t, finite=True, v_disp=None, t_e=False, tmax=np.inf, tmin=0):\n", + " def differential_rate_mw(self, t, finite=True, v_disp=None, t_e=False, tmax=np.inf, tmin=0, t_fwhm=False):\n", " def integrand_func(umin, d, t):\n", - " return self.differential_rate_integrand(umin, d, t, self.mw_model, finite=finite, v_disp=v_disp, t_e = t_e, tmax=tmax, tmin=tmin)\n", + " return self.differential_rate_integrand(umin, d, t, self.mw_model, finite=finite, v_disp=v_disp, t_e = t_e, tmax=tmax, tmin=tmin, t_fwhm=t_fwhm)\n", " return self.differential_rate(t, integrand_func, finite=finite)\n", " \n", - " def differential_rate_m31(self, t, finite=True, v_disp=None):\n", + " def differential_rate_m31(self, t, finite=True, v_disp=None, t_fwhm=False):\n", " def integrand_func(umin, d, t):\n", - " return self.differential_rate_integrand(umin, d, t, self.m31_model, finite=finite, v_disp=v_disp)\n", + " return self.differential_rate_integrand(umin, d, t, self.m31_model, finite=finite, v_disp=v_disp, t_fwhm=t_fwhm)\n", " return self.differential_rate(t, integrand_func, finite=finite)\n", "\n", " def umin_upper_bound(self, d, m=None):\n", @@ -262,46 +648,6 @@ " return result.x[0] if isinstance(result.x, (list, np.ndarray)) else result.x\n", " else:\n", " return self.ds\n", - " \n", - " def differential_rate_lognorm(self, t, integrand_func, finite=False, epsabs = 1.49e-08, epsrel = 1.49e-08):\n", - " #rewrite using tplquad?\n", - " num = 20 # number of discretization points, empirically, result levels off for >~ 40\n", - " mf_values = np.linspace(np.log10(self.mass)-2, np.log10(self.mass)+2, num=num)\n", - "\n", - " result = 0\n", - " for i in range(num):\n", - " mf = mf_values[i]\n", - " if i == 0: # for the first point\n", - " dm = mf_values[i+1] - mf_values[i]\n", - " elif i < num - 1: # for middle points\n", - " dm = ((mf_values[i+1] - mf_values[i]) + (mf_values[i] - mf_values[i-1])) / 2\n", - " else: # for the last point\n", - " dm = mf_values[i] - mf_values[i-1]\n", - "\n", - " if finite:\n", - " single_result, error = dblquad(integrand_func, \n", - " # 0, 10, \n", - " 0, self.d_upper_bound(10**mf),\n", - " lambda d: 0, \n", - " lambda d: self.umin_upper_bound(d, 10**mf),\n", - " args=(10**mf, t),\n", - " epsabs=epsabs,\n", - " epsrel=epsrel,\n", - " )\n", - " else:\n", - " single_result, error = dblquad(integrand_func,\n", - " #Without finite size effects, integral blows up at M31 center\n", - " 0, self.ds,\n", - " lambda d: 0, \n", - " lambda d: self.u_t,\n", - " args=(10**mf, t),\n", - " epsabs=epsabs,\n", - " epsrel=epsrel,\n", - " )\n", - " \n", - " # result += single_result * ((10**mf/1) ** -self.p) * dm # multiply by mass function and by dlogm. This is for dN/dlogM\n", - " result += single_result * self.mass_function(10**mf) * dm * 10**mf # multiply by mass function and by dlogm * m. \n", - " return result\n", " \n", " def differential_rate_integrand_lognorm(self, umin, d, t, mf, model, finite=False, v_disp=None, t_e = False, tmax=np.inf, tmin=0):\n", "\n", @@ -309,73 +655,112 @@ " ut = self.umin_upper_bound(d) if finite else self.u_t\n", " if ut <= umin:\n", " return 0 \n", - " else:\n", - " #Calculate radial velocity in terms of event duration (t_fwhm)\n", - " v_rad = velocity_radial(d, mf, umin, t * htosec, ut) \n", + " \n", + " #Calculate radial velocity in terms of event duration \n", + " v_rad = velocity_radial(d, mf, umin, t * htosec, ut) \n", " if v_disp is None: \n", " v_disp = model.velocity_dispersion_dm(r)\n", + " # if v_rad/v_disp > 10:\n", + " # return 0\n", " return 2 * (1 / (ut**2 - umin**2)**0.5 *\n", " model.density_dm(d, self.l, self.b) / (mf * v_disp**2) * \n", " v_rad**4 * (htosec / kpctokm)**2 *\n", " np.exp(-(v_rad**2 / v_disp**2)) *\n", " 1)\n", " \n", - " def differential_rate_mw_lognorm(self, t, finite=True, v_disp=None, t_e=False, tmax=np.inf, tmin=0):\n", + " def differential_rate_lognorm(self, t, integrand_func, finite=False, epsabs=1.49e-08, epsrel=1.49e-08):\n", + " \n", + " # Innermost double integral\n", + " def inner_integrand(u, d, mf, t):\n", + " return integrand_func(u, d, mf, t)\n", + " \n", + " # Second integral (over u) - bounds given by d\n", + " def second_integral(d, mf, t):\n", + " if finite:\n", + " u_min, u_max = 0, self.umin_upper_bound(d, mf)[0]\n", + " else:\n", + " u_min, u_max = 0, self.u_t\n", + "\n", + " if 2/3 * u_max**2 < self.mw_model.velocity_dispersion_dm(self.mw_model.dist_center(d, self.l, self.b))**2:\n", + " local_max = u_max\n", + " else:\n", + " local_max = 1.22* (2/3*u_max**2 - self.mw_model.velocity_dispersion_dm(self.mw_model.dist_center(d, self.l, self.b))**2)**(1/2)\n", + " \n", + " # result, error = quad(inner_integrand, u_min, u_max, args=(d, mf, t), epsabs=epsabs, epsrel=epsrel, points=[0, u_max/2, 1], limit=3)\n", + " result, error = quad(inner_integrand, u_min, u_max, args=(d, mf, t), epsabs=epsabs, epsrel=epsrel, points=[local_max])\n", + "\n", + " return result\n", + " \n", + " # Outermost integral (over d)\n", + " def outer_integral(mf, t):\n", + " d_min, d_max = 0, self.d_upper_bound(mf) if finite else self.ds\n", + " result, error = quad(second_integral, d_min, d_max, args=(mf, t), epsabs=epsabs, epsrel=epsrel)\n", + " # return result * self.mass_function(mf) * mf * np.log(10) # multiply by mass function and by dlogm * m\n", + " return result * self.mass_function(mf) \n", + "\n", + " # Integrate over mass\n", + " mf_min, mf_max = 10**(np.log10(self.mass) - 3 * self.sigma), 10**(np.log10(self.mass) + 3 * self.sigma)\n", + " result, error = quad(outer_integral, mf_min, mf_max, args=(t,), epsabs=epsabs, epsrel=epsrel)\n", + " \n", + " return result\n", + " \n", + " def differential_rate_mw_lognorm(self, t, finite=True, v_disp=None, t_e=False, tmax=np.inf, tmin=0, epsabs = 1.49e-08, epsrel = 1.49e-08):\n", " def integrand_func(umin, d, mf, t):\n", " return self.differential_rate_integrand_lognorm(umin, d, t, mf, self.mw_model, finite=finite, v_disp=v_disp, t_e = t_e, tmax=tmax, tmin=tmin)\n", - " return self.differential_rate_lognorm(t, integrand_func, finite=finite)" + " return self.differential_rate_lognorm(t, integrand_func, finite=finite, epsabs = epsabs, epsrel = epsrel)" ] }, { "cell_type": "code", - "execution_count": 93, + "execution_count": 55, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "1.009997124512126" + ] + }, + "execution_count": 55, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ - "m_lens = 1e-8\n", - "pbh = Pbh(m_lens, 1, l=l, b=b, ds=ds)\n", - "ts = np.logspace(-2,1,50)" + "magnification(3.5)" ] }, { "cell_type": "code", - "execution_count": 104, + "execution_count": 82, "metadata": {}, "outputs": [], "source": [ - "pbh = Pbh(m_lens, 1, l=l, b=b, ds=ds, lognorm=True, sigma=0.6)\n", - "pbh_wide = Pbh(m_lens, 1, l=l, b=b, ds=ds, lognorm=True, sigma=1.0)\n" + "rho_arr = np.logspace(-2, 0.5, 100)\n", + "A_t = 1.34\n", + "my_ut_arr = np.array([ut_func_new(rho, A_t) for rho in rho_arr])\n", + "j_ut_arr = np.array([max(1, 2*rho) for rho in rho_arr])\n", + "j_ut_alt_arr = np.array([max(3, 2*rho) for rho in rho_arr])\n" ] }, { "cell_type": "code", - "execution_count": 97, + "execution_count": 85, "metadata": {}, "outputs": [ { - "name": "stderr", - "output_type": "stream", - "text": [ - "/Users/nolansmyth/opt/anaconda3/lib/python3.9/site-packages/scipy/integrate/_quadpack_py.py:1233: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", - " quad_r = quad(f, low, high, args=args, full_output=self.full_output,\n" - ] - } - ], - "source": [ - "diff_rate_mono = np.array([pbh.differential_rate_mw(t, finite=False) for t in ts])\n", - "diff_rate_lognorm = np.array([pbh.differential_rate_mw_lognorm(t, finite=False) for t in ts])\n", - "diff_rate_lognorm_wide = np.array([pbh_wide.differential_rate_mw_lognorm(t, finite=False) for t in ts])\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 159, - "metadata": {}, - "outputs": [ + "data": { + "text/plain": [ + "Text(0, 0.5, '$u_{\\\\rm T}$')" + ] + }, + "execution_count": 85, + "metadata": {}, + "output_type": "execute_result" + }, { "data": { - "image/png": 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", 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", "text/plain": [ "
" ] @@ -385,48 +770,834 @@ } ], "source": [ - "plt.loglog(ts, diff_rate_mono, label=\"Monochromatic\", color=\"lightblue\", linestyle=\"--\")\n", - "plt.loglog(ts, diff_rate_lognorm, label=\"Lognorm\", color=\"cyan\", linestyle=\"-.\")\n", - "plt.loglog(ts, diff_rate_lognorm_wide, label=\"Lognorm Wider\", color=\"darkblue\", linestyle=\":\")\n", - "\n", - "plt.xlim(1e-2, 1e1)\n", - "# plt.ylim(1e-8, 1e-5)\n", + "plt.plot(rho_arr, my_ut_arr, label='My ut')\n", + "plt.plot(rho_arr, j_ut_arr, label='Johnson ut')\n", + "plt.axhline(1., color='k', linestyle='--', label='fixed u_T')\n", + "# plt.loglog(rho_arr, j_ut_alt_arr, label='Johnson ut alt')\n", + "plt.title(r'$A_{\\rm T} = $' + str(A_t))\n", "plt.legend()\n", - "plt.show()" + "plt.xscale('log')\n", + "plt.yscale('log')\n", + "plt.xlabel(r'$\\rho$')\n", + "plt.ylabel(r'$u_{\\rm T}$')\n" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [], + "source": [ + "m_lens = 3e-6\n", + "# pbh = Pbh(m_lens, 1, l=l, b=b, ds=ds)\n", + "pbh = Pbh(m_lens, 1, l=1.0, b=-1.03, ds=8.5, lognorm=True, sigma=0.1, u_t=1)\n", + "ts = np.logspace(-2,1,50)" ] }, { "cell_type": "code", - "execution_count": 160, + "execution_count": 22, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ - "/Users/nolansmyth/opt/anaconda3/lib/python3.9/site-packages/scipy/integrate/_quadpack_py.py:1233: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", - " quad_r = quad(f, low, high, args=args, full_output=self.full_output,\n" + " 0%| | 0/20 [00:00" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.loglog(u_t_arr, rate_earth)\n", + "plt.xlabel(r'$u_{\\rm T}$')\n", + "plt.ylabel(r'$\\Gamma$')" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0, 0.5, '$d\\\\Gamma/dt$')" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.loglog(u_t_arr, diff_rate_earth)\n", + "plt.xlabel(r'$u_{\\rm T}$')\n", + "plt.ylabel(r'$d\\Gamma/dt$')" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "7.65" + ] + }, + "execution_count": 36, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "0.9*8.5" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0.08939406131809767\n", + "7.598495212038302e-07\n" + ] + } + ], + "source": [ + "Rs_pc = 2.3e-8\n", + "G_pc = 4.3e-3\n", + "ds_pc = 8.5e3\n", + "# dl_pc = 0.9*ds_pc # Try 3/4 of the way to the source instead\n", + "dl_pc = 7e3\n", + "print(Rs_pc**2 / (4 * G_pc * ds_pc) *(dl_pc/ds_pc)*(3e5)**2/(3e-6) )\n", + "print(Rs_pc**2 / (4 * G_pc * ds_pc*(1-dl_pc/ds_pc)) *(dl_pc/ds_pc)*(3e5)**2/2 ) #Location in solar masses\n" + ] + }, + { + "cell_type": "code", + "execution_count": 126, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "1.4340302747434424e-07" + ] + }, + "execution_count": 126, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "pbh.differential_rate_mw_lognorm(1, finite=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_14520/3093321778.py:178: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", + " result, error = quad(inner_integrand, u_min, u_max, args=(d, t), epsabs=epsabs, epsrel=epsrel)\n" + ] + }, + { + "data": { + "text/plain": [ + "3.6666755430044117e-07" + ] + }, + "execution_count": 31, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "#new rate_tot\n", + "pbh.rate_mw(finite=True, tcad = 0.25, tobs = 6*72*24, efficiency=None, epsabs=0, epsrel=1e-1)" + ] + }, + { + "cell_type": "code", + "execution_count": 122, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + " 0%| | 0/80 [00:00]" + ] + }, + "execution_count": 1693, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(us, integrand_vals_u)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 83, + "metadata": {}, + "outputs": [], + "source": [ + "def opt_depth_integrand(d):\n", + " return (pbh.mw_model.density_dm(d, l, b) + pbh.m31_model.density_dm(d, l, b))/pbh.mass * np.pi * einstein_rad(d, pbh.mass)**2\n", + "d_arr = np.logspace(-3, np.log10(ds*0.99), 1000)\n", + "opt_depth_arr = np.array([quad(opt_depth_integrand, 0, d)[0] for d in d_arr])" + ] + }, + { + "cell_type": "code", + "execution_count": 84, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.loglog(d_arr, opt_depth_arr, color='darkgreen')\n", + "plt.ylim(1e-8, 1e-5)\n", + "plt.xlim(3, 1e3)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 114, + "metadata": {}, + "outputs": [], + "source": [ + "pbh_wide = Pbh(m_lens, 1, l=1.0, b=-1.03, ds=8.5, lognorm=True, sigma=1.)\n", + "pbh_med = Pbh(m_lens, 1, l=1.0, b=-1.03, ds=8.5, lognorm=True, sigma=0.5)\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 116, + "metadata": {}, + "outputs": [], + "source": [ + "m_arr = np.logspace(-12, -1, 10000)\n", + "mass_func_arr = np.array([pbh.mass_function(m) for m in m_arr])\n", + "mass_func_arr_wide = np.array([pbh_wide.mass_function(m) for m in m_arr])\n", + "mass_func_arr_med = np.array([pbh_med.mass_function(m) for m in m_arr])\n" + ] + }, + { + "cell_type": "code", + "execution_count": 132, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "6.095704732823721\n" + ] + } + ], + "source": [ + "max1 = np.argmax(mass_func_arr)\n", + "max2 = np.argmax(mass_func_arr_wide)\n", + "print(mass_func_arr[max1]/ mass_func_arr_wide[max2])\n", + "# max(mass_func_arr)/max(mass_func_arr_wide)" + ] + }, + { + "cell_type": "code", + "execution_count": 122, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 122, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.loglog(m_arr, 1/m_arr*mass_func_arr, label=\"sigma=0.01\")\n", + "plt.loglog(m_arr, 1/m_arr*mass_func_arr_med, label=\"sigma=0.5\")\n", + "plt.loglog(m_arr, 1/m_arr*mass_func_arr_wide, label=\"sigma=1.\")\n", + "plt.ylim(1e-6, 1e22)\n", + "plt.xlim(1e-12, 1e-6)\n", + "plt.legend()" + ] + }, + { + "cell_type": "code", + "execution_count": 120, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.7242763612503668" + ] + }, + "execution_count": 120, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "max(1/m_arr*mass_func_arr_wide)/max(1/m_arr*mass_func_arr)" + ] + }, + { + "cell_type": "code", + "execution_count": 121, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.32321539268840205" + ] + }, + "execution_count": 121, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "max(1/m_arr*mass_func_arr_med)/max(1/m_arr*mass_func_arr)" + ] + }, + { + "cell_type": "code", + "execution_count": 66, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0.9999999999999808\n", + "0.9893455792686998\n" + ] + } + ], + "source": [ + "print(quad(lambda m: pbh.mass_function(m), 1e-10, 1e-6, epsabs=0, epsrel=1e-1)[0])\n", + "print(quad(lambda m: pbh_wide.mass_function(m), 1e-10, 1e-6, epsabs=0, epsrel=1e-1)[0])\n" + ] + }, + { + "cell_type": "code", + "execution_count": 63, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "1.0050125208600002e-07\n", + "1.648459526669144e-07\n" + ] + } + ], + "source": [ + "#Why are these means different?\n", + "print(quad(lambda m: m * pbh.mass_function(m), 1e-10, 1e-5, epsabs=0, epsrel=1e-1)[0])\n", + "print(quad(lambda m: m * pbh_wide.mass_function(m), 1e-10, 1e-5, epsabs=0, epsrel=1e-1)[0])\n" + ] + }, + { + "cell_type": "code", + "execution_count": 129, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "10050125.208942829\n", + "16488514.507231262\n", + "11331126.897983415\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_19487/2337308567.py:3: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", + " print(quad(lambda m: m**(-1) * pbh_med.mass_function(m), 1e-10, 1e-4, epsabs=0, epsrel=1e-1)[0])\n" + ] + } + ], + "source": [ + "print(quad(lambda m: m**(-1) * pbh.mass_function(m), 1e-10, 1e-4, epsabs=0, epsrel=1e-1)[0])\n", + "print(quad(lambda m: m**(-1) * pbh_wide.mass_function(m), 1e-10, 1e-4, epsabs=0, epsrel=1e-1)[0])\n", + "print(quad(lambda m: m**(-1) * pbh_med.mass_function(m), 1e-10, 1e-4, epsabs=0, epsrel=1e-1)[0])\n" + ] + }, + { + "cell_type": "code", + "execution_count": 130, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.886920198421867" + ] + }, + "execution_count": 130, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "10050125.208597425/11331487.57518435 * " + ] + }, + { + "cell_type": "code", + "execution_count": 131, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.6095717733279549" + ] + }, + "execution_count": 131, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "10050125.208597425/16487189.28327144" + ] + }, + { + "cell_type": "code", + "execution_count": 145, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/Users/nolansmyth/opt/anaconda3/lib/python3.9/site-packages/scipy/integrate/_quadpack_py.py:1233: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", + " quad_r = quad(f, low, high, args=args, full_output=self.full_output,\n" + ] + } + ], + "source": [ + "diff_rate_mono = np.array([pbh.differential_rate_mw(t, finite=False) for t in ts])\n", + "diff_rate_lognorm = np.array([pbh.differential_rate_mw_lognorm(t, finite=False) for t in ts])\n", + "diff_rate_lognorm_wide = np.array([pbh_wide.differential_rate_mw_lognorm(t, finite=False) for t in ts])\n" + ] + }, + { + "cell_type": "code", + "execution_count": 282, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.loglog(ts, diff_rate_mono, label=\"Monochromatic\", color=\"lightblue\", linestyle=\"--\")\n", + "plt.loglog(ts, diff_rate_lognorm, label=\"Lognorm\", color=\"cyan\", linestyle=\"-.\")\n", + "plt.loglog(ts, diff_rate_lognorm_wide, label=\"Lognorm Wider\", color=\"darkblue\", linestyle=\":\")\n", + "\n", + "plt.xlim(1e-2, 1e1)\n", + "# plt.ylim(1e-8, 1e-5)\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + " 0%| | 0/30 [00:00" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.loglog(ts, diff_rate_mono_finite, label=\"Monochromatic\", color=\"lightblue\", linestyle=\"--\")\n", + "plt.loglog(ts, diff_rate_lognorm_finite, label=\"Lognorm\", color=\"cyan\", linestyle=\"-.\")\n", + "plt.loglog(ts, diff_rate_lognorm_wide_finite, label=\"Lognorm Wider\", color=\"darkblue\", linestyle=\":\")\n", + "\n", + "plt.xlim(1e-1, 1e2)\n", "# plt.ylim(1e-8, 1e-5)\n", "plt.legend()\n", "plt.show()" @@ -434,7 +1605,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 7, "metadata": {}, "outputs": [], "source": [ @@ -456,12 +1627,12 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 8, "metadata": {}, "outputs": [ { "data": { - "image/png": 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" ] @@ -495,31 +1666,53 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 765, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ + "/Users/nolansmyth/opt/anaconda3/lib/python3.9/site-packages/scipy/integrate/_quadpack_py.py:1233: IntegrationWarning: The algorithm does not converge. Roundoff error is detected\n", + " in the extrapolation table. It is assumed that the requested tolerance\n", + " cannot be achieved, and that the returned result (if full_output = 1) is \n", + " the best which can be obtained.\n", + " quad_r = quad(f, low, high, args=args, full_output=self.full_output,\n", "/Users/nolansmyth/opt/anaconda3/lib/python3.9/site-packages/scipy/integrate/_quadpack_py.py:1233: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", + " quad_r = quad(f, low, high, args=args, full_output=self.full_output,\n", + "/Users/nolansmyth/opt/anaconda3/lib/python3.9/site-packages/scipy/integrate/_quadpack_py.py:1233: IntegrationWarning: The maximum number of subdivisions (50) has been achieved.\n", + " If increasing the limit yields no improvement it is advised to analyze \n", + " the integrand in order to determine the difficulties. If the position of a \n", + " local difficulty can be determined (singularity, discontinuity) one will \n", + " probably gain from splitting up the interval and calling the integrator \n", + " on the subranges. Perhaps a special-purpose integrator should be used.\n", " quad_r = quad(f, low, high, args=args, full_output=self.full_output,\n" ] } ], "source": [ - "result_mw = [pbh.differential_rate_mw(t, finite=False) for t in ts]\n", - "result_m31 = [pbh.differential_rate_m31(t, finite=False) for t in ts]" + "result_mw = np.array([pbh.differential_rate_mw(t, finite=False) for t in ts])\n", + "result_m31 = np.array([pbh.differential_rate_m31(t, finite=False) for t in ts])" ] }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 767, + "metadata": {}, + "outputs": [], + "source": [ + "result_mw_fwhm = np.array([pbh.differential_rate_mw(t, finite=False, t_fwhm=True) for t in ts])\n", + "result_m31_fwhm = np.array([pbh.differential_rate_m31(t, finite=False, t_fwhm=True) for t in ts])" + ] + }, + { + "cell_type": "code", + "execution_count": 768, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", + "image/png": 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", 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" ] @@ -531,42 +1724,190 @@ "source": [ "plt.loglog(ts, result_mw, label=\"MW\", color=\"lightblue\", linestyle=\"--\")\n", "plt.loglog(ts, result_m31, label=\"M31\", color=\"cyan\", linestyle=\"-.\")\n", - "plt.loglog(ts, np.array(result_mw) + np.array(result_m31), label=\"Total\", color=\"blue\")\n", + "\n", + "plt.loglog(ts, result_mw_fwhm, label=\"MW FWHM\", color=\"darkblue\", linestyle=\":\")\n", + "plt.loglog(ts, result_m31_fwhm, label=\"M31 FWHM\", color=\"blue\", linestyle=\"-.\")\n", + "\n", + "# plt.loglog(ts, np.array(result_mw) + np.array(result_m31), label=\"Total\", color=\"blue\")\n", "plt.xlim(1e-2, 1e1)\n", - "# plt.ylim(1e-8, 1e-5)\n", + "plt.ylim(1e-8, 1e-5)\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 11, + "metadata": {}, + "outputs": [], + "source": [ + "result_mw_finite = np.array([pbh.differential_rate_mw(t, finite=True) for t in ts])\n", + "result_m31_finite = np.array([pbh.differential_rate_m31(t, finite=True) for t in ts])" + ] + }, + { + "cell_type": "code", + "execution_count": 1310, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ - "/Users/nolansmyth/opt/anaconda3/lib/python3.9/site-packages/scipy/integrate/quadpack.py:879: IntegrationWarning: The algorithm does not converge. Roundoff error is detected\n", - " in the extrapolation table. It is assumed that the requested tolerance\n", - " cannot be achieved, and that the returned result (if full_output = 1) is \n", - " the best which can be obtained.\n", - " quad_r = quad(f, low, high, args=args, full_output=self.full_output,\n", - "/Users/nolansmyth/opt/anaconda3/lib/python3.9/site-packages/scipy/integrate/quadpack.py:879: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", - " quad_r = quad(f, low, high, args=args, full_output=self.full_output,\n", - "/Users/nolansmyth/opt/anaconda3/lib/python3.9/site-packages/scipy/integrate/quadpack.py:879: IntegrationWarning: The maximum number of subdivisions (50) has been achieved.\n", - " If increasing the limit yields no improvement it is advised to analyze \n", - " the integrand in order to determine the difficulties. If the position of a \n", - " local difficulty can be determined (singularity, discontinuity) one will \n", - " probably gain from splitting up the interval and calling the integrator \n", - " on the subranges. Perhaps a special-purpose integrator should be used.\n", + "/Users/nolansmyth/opt/anaconda3/lib/python3.9/site-packages/scipy/integrate/_quadpack_py.py:1233: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", + " quad_r = quad(f, low, high, args=args, full_output=self.full_output,\n" + ] + } + ], + "source": [ + "result_mw_finite_fwhm = np.array([pbh.differential_rate_mw(t, finite=True, t_fwhm=True) for t in ts])\n", + "result_m31_finite_fwhm = np.array([pbh.differential_rate_m31(t, finite=True, t_fwhm=True) for t in ts])" + ] + }, + { + "cell_type": "code", + "execution_count": 949, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/Users/nolansmyth/opt/anaconda3/lib/python3.9/site-packages/scipy/integrate/_quadpack_py.py:1233: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", " quad_r = quad(f, low, high, args=args, full_output=self.full_output,\n" ] } ], "source": [ - "result_mw_finite = [pbh.differential_rate_mw(t, finite=True) for t in ts]\n", - "result_m31_finite = [pbh.differential_rate_m31(t, finite=True) for t in ts]" + "result_mw_finite_fwhm_pointuh = np.array([pbh.differential_rate_mw(t, finite=True, t_fwhm=True) for t in ts])\n", + "result_m31_finite_fwhm_pointuh = np.array([pbh.differential_rate_m31(t, finite=True, t_fwhm=True) for t in ts])" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [], + "source": [ + "data = [\n", + " [0.01025159072241831, 1.7621048479375022e-8],\n", + " [0.011749210071050412, 2.275845926074791e-8],\n", + " [0.013010968590057192, 2.8338767124544285e-8],\n", + " [0.015172599513934704, 3.660092518663994e-8],\n", + " [0.018150374932612852, 4.9935878934731396e-8],\n", + " [0.021342877996043896, 6.689548786914154e-8],\n", + " [0.024469204734566336, 8.329806647658273e-8],\n", + " [0.030032772921632634, 1.1787686347935867e-7],\n", + " [0.03592700699000345, 1.6082338776670456e-7],\n", + " [0.04262892307911706, 2.0771139259664584e-7],\n", + " [0.05469664912498203, 2.634116147541181e-7],\n", + " [0.06900941075296256, 3.1622776601683855e-7],\n", + " [0.08857560802715489, 3.866353752192416e-7],\n", + " [0.12283421184247999, 5.085682063672464e-7],\n", + " [0.15638060300786213, 5.886284783911139e-7],\n", + " [0.20253712845316588, 6.938567878737194e-7],\n", + " [0.2470358549514784, 7.602429140842648e-7],\n", + " [0.2763758014285721, 8.030857221391537e-7],\n", + " [0.31751457701013913, 8.030857221391537e-7],\n", + " [0.3616892285784637, 7.88543029093589e-7],\n", + " [0.41222248524188604, 7.329584652846327e-7],\n", + " [0.45782876542269824, 6.689548786914153e-7],\n", + " [0.5359170076153679, 5.779692884153325e-7],\n", + " [0.6007544242560869, 4.948168092155156e-7],\n", + " [0.6795358250644348, 4.084238652674534e-7],\n", + " [0.7965346544989818, 3.0487862993011716e-7],\n", + " [0.9256949197478721, 2.2551456856869547e-7],\n", + " [1.1050115390216486, 1.536412870228796e-7],\n", + " [1.2739795793681672, 1.056354103749187e-7],\n", + " [1.488016811495529, 7.26291750173622e-8],\n", + " [1.701175465649317, 4.858564096319701e-8],\n", + " [1.9450364722110915, 3.2205979187210826e-8],\n", + " [2.2432251551002356, 2.13483876067981e-8],\n", + " [2.743761366010025, 1.0956769860448866e-8]\n", + "]\n", + "\n", + "# Convert the data into numpy arrays\n", + "data_array = np.array(data)\n", + "x = data_array[:, 0] # First column is x values\n", + "y = data_array[:, 1] # Second column is y values" + ] + }, + { + "cell_type": "code", + "execution_count": 1420, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# plt.loglog(ts, np.array(result_mw) + np.array(result_m31), label=\"Total, Point Source\", color=\"lightgreen\", linestyle=\"--\")\n", + "# plt.loglog(ts, (result_mw_finite + result_m31_finite), label=\"Total Finite\", color=\"blue\")\n", + "# plt.loglog(ts, (result_mw_finite + result_m31_finite)/2, label=\"Total Finite/2\", color=\"blue\", ls='--')\n", + "\n", + "plt.loglog(ts, (result_mw_finite_fwhm + result_m31_finite_fwhm), label=\"Total Finite FWHM\", color=\"green\", linestyle=\"--\")\n", + "plt.loglog(ts, (result_mw_finite_fwhm_pointuh + result_m31_finite_fwhm_pointuh), label=\"Total Finite FWHM (point HM)\", color=\"orange\", linestyle=\"--\")\n", + "\n", + "# plt.loglog(ts, result_m31_finite_fwhm, label=\"M31 FWHM\", color=\"green\", linestyle=\"-.\")\n", + "\n", + "# plt.loglog(ts, result_mw_finite_fwhm, label=\"MW FWHM\", color=\"lightblue\", linestyle=\"--\")\n", + "# plt.loglog(ts, result_m31_finite_fwhm, label=\"M31 FWHM\", color=\"cyan\", linestyle=\"-.\")\n", + "\n", + "plt.loglog(x, y*2, label=\"Niikura Total\", color=\"Red\", linestyle=\"--\")\n", + "\n", + "plt.xlim(1e-2, 1e1)\n", + "plt.ylim(1e-8, 1e-5)\n", + "plt.xlabel(r\"$t$ [hr]\")\n", + "plt.ylabel(r\"$d\\Gamma/dt$ [events/star/hr/hr]\")\n", + "plt.title(\"m = {}\".format(pbh.mass) + r\"$M_\\odot$\")\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 356, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# plt.loglog(ts, np.array(result_mw) + np.array(result_m31), label=\"Total, Point Source\", color=\"lightgreen\", linestyle=\"--\")\n", + "plt.loglog(ts, (result_mw_finite + result_m31_finite), label=\"Total Finite\", color=\"blue\")\n", + "# plt.loglog(ts, (result_mw_finite + result_m31_finite)/2, label=\"Total Finite/2\", color=\"blue\", ls='--')\n", + "\n", + "plt.loglog(ts, (result_mw_finite_fwhm + result_m31_finite_fwhm), label=\"Total Finite FWHM\", color=\"green\", linestyle=\"--\")\n", + "# plt.loglog(ts, result_m31_finite_fwhm, label=\"M31 FWHM\", color=\"green\", linestyle=\"-.\")\n", + "\n", + "# plt.loglog(ts, result_mw_finite, label=\"MW\", color=\"lightblue\", linestyle=\"--\")\n", + "# plt.loglog(ts, result_m31_finite, label=\"M31\", color=\"cyan\", linestyle=\"-.\")\n", + "\n", + "plt.loglog(x, y, label=\"Niikura Total\", color=\"Red\", linestyle=\"--\")\n", + "\n", + "plt.xlim(1e-2, 1e1)\n", + "plt.ylim(1e-8, 1e-5)\n", + "plt.xlabel(r\"$t$ [hr]\")\n", + "plt.ylabel(r\"$d\\Gamma/dt$ [events/star/hr/hr]\")\n", + "plt.title(\"m = {}\".format(pbh.mass) + r\"$M_\\odot$\")\n", + "plt.legend()\n", + "plt.show()" ] }, { diff --git a/nbs/01_ffp.ipynb b/nbs/01_ffp.ipynb index 0319255..c017710 100644 --- a/nbs/01_ffp.ipynb +++ b/nbs/01_ffp.ipynb @@ -31,7 +31,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 60, "metadata": {}, "outputs": [], "source": [ @@ -60,9 +60,18 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 61, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The autoreload extension is already loaded. To reload it, use:\n", + " %reload_ext autoreload\n" + ] + } + ], "source": [ "%load_ext autoreload\n", "%autoreload 2" @@ -70,7 +79,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 62, "metadata": {}, "outputs": [], "source": [ @@ -175,44 +184,86 @@ " 1)\n", "\n", " def differential_rate(self, t, integrand_func, finite=False, epsabs = 1.49e-08, epsrel = 1.49e-08):\n", - " #rewrite using tplquad?\n", - " num = 40 # number of discretization points, empirically, result levels off for >~ 40\n", - " mf_values = np.linspace(np.log10(self.m_min), np.log10(self.m_max), num=num)\n", - "\n", - " result = 0\n", - " for i in range(num):\n", - " mf = mf_values[i]\n", - " if i == 0: # for the first point\n", - " dm = mf_values[i+1] - mf_values[i]\n", - " elif i < num - 1: # for middle points\n", - " dm = ((mf_values[i+1] - mf_values[i]) + (mf_values[i] - mf_values[i-1])) / 2\n", - " else: # for the last point\n", - " dm = mf_values[i] - mf_values[i-1]\n", + " # #rewrite using tplquad?\n", + " # num = 40 # number of discretization points, empirically, result levels off for >~ 40\n", + " # mf_values = np.linspace(np.log10(self.m_min), np.log10(self.m_max), num=num)\n", + "\n", + " # result = 0\n", + " # for i in range(num):\n", + " # mf = mf_values[i]\n", + " # if i == 0: # for the first point\n", + " # dm = mf_values[i+1] - mf_values[i]\n", + " # elif i < num - 1: # for middle points\n", + " # dm = ((mf_values[i+1] - mf_values[i]) + (mf_values[i] - mf_values[i-1])) / 2\n", + " # else: # for the last point\n", + " # dm = mf_values[i] - mf_values[i-1]\n", + " # if finite:\n", + " # single_result, error = dblquad(integrand_func, \n", + " # # 0, 10, \n", + " # 0, self.d_upper_bound(10**mf),\n", + " # lambda d: 0, \n", + " # lambda d: self.umin_upper_bound(d, 10**mf),\n", + " # args=(10**mf, t),\n", + " # epsabs=epsabs,\n", + " # epsrel=epsrel,\n", + " # )\n", + " # else:\n", + " # single_result, error = dblquad(integrand_func,\n", + " # #Without finite size effects, integral blows up at M31 center\n", + " # 0, self.ds,\n", + " # lambda d: 0, \n", + " # lambda d: self.u_t,\n", + " # args=(10**mf, t),\n", + " # epsabs=epsabs,\n", + " # epsrel=epsrel,\n", + " # )\n", + " \n", + " # result += single_result * ((10**mf/1) ** -self.p) * dm # multiply by mass function and by dlogm. This is for dN/dlogM\n", + "\n", + " # result *= self.Z # normalization\n", + " # return result\n", + "\n", + "\n", + " def inner_integrand(u, d, m):\n", + " return integrand_func(u, d, m, t)\n", + " \n", + " # Second integral (over u) - bounds given by d\n", + " def second_integral(d, m):\n", + " point = self.sticking_point(m)\n", + "\n", " if finite:\n", - " single_result, error = dblquad(integrand_func, \n", - " # 0, 10, \n", - " 0, self.d_upper_bound(10**mf),\n", - " lambda d: 0, \n", - " lambda d: self.umin_upper_bound(d, 10**mf),\n", - " args=(10**mf, t),\n", - " epsabs=epsabs,\n", - " epsrel=epsrel,\n", - " )\n", + " u_min, u_max = 0, self.umin_upper_bound(d, m)\n", " else:\n", - " single_result, error = dblquad(integrand_func,\n", - " #Without finite size effects, integral blows up at M31 center\n", - " 0, self.ds,\n", - " lambda d: 0, \n", - " lambda d: self.u_t,\n", - " args=(10**mf, t),\n", - " epsabs=epsabs,\n", - " epsrel=epsrel,\n", - " )\n", + " u_min, u_max = 0, self.u_t\n", + "\n", + " result, error = quad(inner_integrand, u_min, u_max, args=(d, m), epsabs=epsabs, epsrel=epsrel, points=[point])\n", + "\n", + " return result\n", " \n", - " result += single_result * ((10**mf/1) ** -self.p) * dm # multiply by mass function and by dlogm. This is for dN/dlogM\n", + " # Third integral (over d)\n", + " def third_integral(m):\n", + " if finite:\n", + " d_min, d_max = 0, self.d_upper_bound(m)\n", + " else:\n", + " d_min, d_max = 0, self.ds\n", + "\n", + " result, error = quad(second_integral, d_min, d_max, args=(m,), epsabs=epsabs, epsrel=epsrel)\n", + " return result\n", + " \n", + " # Outermost integral (over m in log scale)\n", + " def integrand_logm(logm):\n", + " m = 10**logm\n", + " result = third_integral(m)\n", + " return result * ((m/self.M_norm) ** -self.p) # multiply by mass function. This is for dN/dlogM\n", + "\n", + " logm_min = np.log10(self.m_min)\n", + " logm_max = np.log10(self.m_max)\n", + "\n", + " result, error = quad(integrand_logm, logm_min, logm_max, epsabs=epsabs, epsrel=epsrel)\n", "\n", " result *= self.Z # normalization\n", " return result\n", + "\n", " \n", " def differential_rate_mw(self, t, finite=True, v_disp=None, t_e=False, epsabs = 1.49e-08, epsrel = 1.49e-08, tmax=np.inf, tmin=0):\n", " def integrand_func(umin, d, mf, t):\n", @@ -226,7 +277,7 @@ "\n", " def differential_rate_mw_mass(self, m, finite=True, v_disp=None, tcad=0.07, tobs=3, epsabs = 1.49e-08, epsrel = 1.49e-08, efficiency=None, monochromatic=False):\n", " def integrand_func(umin, d, t, mf):\n", - " return self.differential_rate_integrand(umin, d, t, mf, self.mw_model, finite=finite)\n", + " return self.differential_rate_integrand(umin, d, t, mf, self.mw_model, finite=finite, v_disp=v_disp)\n", " return self.differential_rate_mass(m, integrand_func, finite=finite, tcad=tcad, tobs=tobs, epsabs = epsabs, epsrel = epsrel, efficiency=efficiency, monochromatic=monochromatic)\n", " \n", " def differential_rate_m31_mass(self, m, finite=True, v_disp=None, tcad=0.07, tobs=3, epsabs = 1.49e-08, epsrel = 1.49e-08, efficiency=None, monochromatic=False):\n", @@ -265,61 +316,574 @@ " if efficiency is None:\n", " def efficiency(t):\n", " return 1\n", - " \n", + "\n", " point = self.sticking_point(m)\n", "\n", - " def integrand(t, d, m, finite):\n", + " def inner_integrand(u, d, t, m):\n", + " return integrand_func(u, d, t, m) * efficiency(t)\n", + " \n", + " # Second integral (over u) - bounds given by d\n", + " def second_integral(d, t, m):\n", " if finite:\n", - " u_bounds = [0, self.umin_upper_bound(d, m)]\n", + " u_min, u_max = 0, self.umin_upper_bound(d, m)[0]\n", " else:\n", - " u_bounds = [0, self.u_t]\n", - " u_result, _ = nquad(integrand_func, [u_bounds], args=(d, t, m))\n", - " return u_result * efficiency(t)\n", - "\n", - " bounds_t = [tcad, tobs]\n", - "\n", - " if finite:\n", - " bounds_d = [0, self.d_upper_bound(m)]\n", - " else:\n", - " bounds_d = [0, self.ds]\n", - "\n", - " opts = {\"epsabs\": epsabs, \"epsrel\": epsrel, \"points\":[point, self.ds]}\n", - "\n", - " result, error = nquad(integrand, [bounds_t, bounds_d], args=(m, finite), opts=opts)\n", + " u_min, u_max = 0, self.u_t\n", + " result, error = quad(inner_integrand, u_min, u_max, args=(d, t, m), epsabs=epsabs, epsrel=epsrel, points=[point])\n", + " return result\n", + " \n", + " # Third integral (over d)\n", + " def third_integral(t, m):\n", + " if finite:\n", + " d_min, d_max = 0, self.d_upper_bound(m)\n", + " else:\n", + " d_min, d_max = 0, self.ds\n", "\n", + " result, error = quad(second_integral, d_min, d_max, args=(t, m), epsabs=epsabs, epsrel=epsrel)\n", + " return result\n", + " \n", + " # Outermost integral (over t)\n", + " t_min = tcad\n", + " t_max = tobs\n", + " result, error = quad(third_integral, t_min, t_max, args=(m,), epsabs=epsabs, epsrel=epsrel)\n", + " \n", " if monochromatic:\n", " return result\n", - " return result*self.f_m(m)\n" + " return result * self.f_m(m)\n", + "\n" ] }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 63, "metadata": {}, "outputs": [], "source": [ "p = 1.0\n", - "f = Ffp(p, l = l, b = b, u_t = 2)" + "# f = Ffp(p, l = 1.0, b = -1.03, ds=8.5, u_t = 2)\n", + "f = Ffp(0, l = 1.0, b = -1.03, ds=8.5, u_t = 1, m_min=2.5e-6, m_max=3.5e-6)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([3.5014054])" + ] + }, + "execution_count": 33, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "f.umin_upper_bound(1, 3e-6)" ] }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "2.0017875097175997e-19" + "1.009997124512126" ] }, - "execution_count": 8, + "execution_count": 30, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "f.differential_rate_integrand(0, 5, 1e-1, 1e-10, f.mw_model, finite=False, v_disp=None, t_e=True, tmax=1825*25, tmin=0.25)" + "magnification(3.5)" + ] + }, + { + "cell_type": "code", + "execution_count": 54, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 20/20 [03:32<00:00, 10.63s/it]\n" + ] + } + ], + "source": [ + "u_t_arr = np.linspace(0.1, 10, 20)\n", + "diff_rate_earth_log_un_1 = []\n", + "for u_t in tqdm(u_t_arr):\n", + " f.u_t = u_t\n", + " diff_rate_earth_log_un_1.append(np.log10(f.differential_rate_total(10, finite=True)))\n", + "diff_rate_earth_log_un_1 = np.array(diff_rate_earth_log_un_1)" + ] + }, + { + "cell_type": "code", + "execution_count": 55, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5, 1.0, 'Earth mass')" + ] + }, + "execution_count": 55, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(u_t_arr, 10**diff_rate_earth_log_un_1)\n", + "plt.yscale('log')\n", + "plt.xlabel(r'$u_t$')\n", + "plt.ylabel(r'$d\\Gamma/dt$ at t=10 h')\n", + "plt.title(r'Earth mass')" + ] + }, + { + "cell_type": "code", + "execution_count": 105, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "2.834948673444066e-13" + ] + }, + "execution_count": 105, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "#new\n", + "f.differential_rate_mw(10, finite=True, v_disp=220)" + ] + }, + { + "cell_type": "code", + "execution_count": 106, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "\n", + " 0%| | 0/30 [00:00= np.max(roman_df['t_e [days]']):\n", + " return roman_df['efficiency'][len(roman_df)-1]\n", + " return(roman_efficiency_interp(t_day))\n" + ] + }, + { + "cell_type": "code", + "execution_count": 69, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + " 43%|████▎ | 3/7 [19:39<24:57, 374.32s/it]/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_14517/3535331868.py:8: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", + " rate = quad(lambda t: dgdt_interp(t) * roman_efficiency(t), 0.25, 24*72*6, epsabs=0, epsrel=1e-1)[0]\n", + "100%|██████████| 7/7 [26:51<00:00, 230.19s/it]\n" + ] + } + ], + "source": [ + "result_arr = np.zeros(len(mass_arr))\n", + "for i, m in enumerate(tqdm(mass_arr)):\n", + " # f = Ffp(0, l = 1.0, b = -1.03, ds=8.5, u_t = 1, m_min=m*10**(-0.5), m_max=m*10**(0.5))\n", + " f = Ffp(0, l = 1.0, b = -1.03, ds=8.5, u_t = 3.45, m_min=m*10**(-0.5), m_max=m*10**(0.5))\n", + " dgdt_arr = np.array([f.differential_rate_mw(t, finite=True, v_disp=220) for t in ts])\n", + " dgdt_interp = interp1d(ts, dgdt_arr, kind='linear')\n", + "\n", + " rate = quad(lambda t: dgdt_interp(t) * roman_efficiency(t), 0.25, 24*72*6, epsabs=0, epsrel=1e-1)[0]\n", + " result_arr[i] = rate * 24*72*6 * 2.4e8" + ] + }, + { + "cell_type": "code", + "execution_count": 96, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + " 43%|████▎ | 3/7 [01:40<02:15, 33.82s/it]/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_14517/3939466292.py:9: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", + " rate = quad(lambda t: dgdt_interp(t) * roman_efficiency(t), 0.25, 24*72*6, epsabs=0, epsrel=1e-1)[0]\n", + "100%|██████████| 7/7 [05:04<00:00, 43.52s/it]\n" + ] + } + ], + "source": [ + "result_arr_point_1 = np.zeros(len(mass_arr))\n", + "for i, m in enumerate(tqdm(mass_arr)):\n", + " f = Ffp(0, l = 1.0, b = -1.03, ds=8.5, u_t = 1, m_min=m*10**(-0.5), m_max=m*10**(0.5))\n", + " # f = Ffp(0, l = 1.0, b = -1.03, ds=8.5, u_t = 3.45, m_min=m*10**(-0.5), m_max=m*10**(0.5))\n", + " # f = Ffp(0, l = 1.0, b = -1.03, ds=8.5, u_t = 3.0, m_min=m*10**(-0.5), m_max=m*10**(0.5))\n", + " dgdt_arr = np.array([f.differential_rate_mw(t, finite=False, v_disp=220) for t in ts])\n", + " dgdt_interp = interp1d(ts, dgdt_arr, kind='linear')\n", + "\n", + " rate = quad(lambda t: dgdt_interp(t) * roman_efficiency(t), 0.25, 24*72*6, epsabs=0, epsrel=1e-1)[0]\n", + " result_arr_point_1[i] = rate * 24*72*6 * 2.4e8" + ] + }, + { + "cell_type": "code", + "execution_count": 97, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([6.66058132e-01, 4.51597126e+00, 1.91777526e+01, 6.94530989e+01,\n", + " 2.29975935e+02, 7.40354621e+02, 2.36208973e+03])" + ] + }, + "execution_count": 97, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "result_arr_point_1" + ] + }, + { + "cell_type": "code", + "execution_count": 99, + "metadata": {}, + "outputs": [], + "source": [ + "our_ut_1_finite = np.array([0.054581, 1.747823, 18.989170 , 72.575551, 233.820611, 744.041794, 2372.639453])\n", + "our_ut_1_point = np.array([6.66058132e-01, 4.51597126e+00, 1.91777526e+01, 6.94530989e+01,2.29975935e+02, 7.40354621e+02, 2.36208973e+03])\n", + "result_arr_point_3 = np.array([4.19731590e+00, 1.84469580e+01, 6.56940092e+01, 2.17129007e+02, 7.01789494e+02, 2.24181653e+03, 7.11845702e+03])\n", + "result_arr_point_35 = np.array([5.09027157e+00, 2.15841384e+01, 7.61618731e+01, 2.51482464e+02, 8.08879645e+02, 2.57807882e+03, 8.16249999e+03])\n" + ] + }, + { + "cell_type": "code", + "execution_count": 86, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "3.2421065531473174" + ] + }, + "execution_count": 86, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "rho_func(3e-6*1e-2, 8.5/2, 8.5)" + ] + }, + { + "cell_type": "code", + "execution_count": 87, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([4.56896632])" + ] + }, + "execution_count": 87, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "ut_func_new(3.24, 1.01)" + ] + }, + { + "cell_type": "code", + "execution_count": 89, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "1.0169503597462535" + ] + }, + "execution_count": 89, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "magnification(3)" + ] + }, + { + "cell_type": "code", + "execution_count": 101, + "metadata": {}, + "outputs": [], + "source": [ + "johnson_logn_new = np.array([0.306, 4.49, 22.1, 87.1, 313, 1025, 3329])\n", + "johnson_fid_new = np.array([0.611, 8.97, 44.2, 108, 72.3, 44.1, 26.7])\n", + "N_power_our_fid_arr= []\n", + "for m in mass_arr:\n", + " N_power_our_fid_arr.append(10*(m/(3e-6))**(-1))\n", + "N_power_our_fid_arr = np.array(N_power_our_fid_arr)\n", + "\n", + "N_power_new_arr= []\n", + "for m in mass_arr:\n", + " N_power_new_arr.append(0.24*(m/(95*3e-6))**(-0.73))\n", + "N_power_new_arr = np.array(N_power_new_arr)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 103, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([2.17666056, 1.00578424, 0.86777161, 0.79739494, 0.7347474 ,\n", + " 0.72229719, 0.70954933])" + ] + }, + "execution_count": 103, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "our_ut_1_point/johnson_logn_new" + ] + }, + { + "cell_type": "code", + "execution_count": 104, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([0.17836928, 0.38927016, 0.85923846, 0.83324398, 0.74703071,\n", + " 0.72589443, 0.71271837])" + ] + }, + "execution_count": 104, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "our_ut_1_finite/johnson_logn_new" + ] + }, + { + "cell_type": "code", + "execution_count": 169, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " m [M_earth] Our Log-Uniform Johnson Log-Uniform Our Fiducial \\\n", + "0 0.01 0.054581 0.306 54.580964 \n", + "1 0.10 1.747823 4.490 174.782304 \n", + "2 1.00 18.989170 22.100 189.891703 \n", + "3 10.00 72.575551 87.100 72.575551 \n", + "4 100.00 233.820611 313.000 23.382061 \n", + "5 1000.00 744.041794 1025.000 7.440418 \n", + "6 10000.00 2372.639453 3329.000 2.372639 \n", + "\n", + " Johnson Fiducial Power \n", + "0 58.839761 \n", + "1 160.766595 \n", + "2 147.347152 \n", + "3 108.135335 \n", + "4 72.359209 \n", + "5 44.123844 \n", + "6 26.684758 \n" + ] + } + ], + "source": [ + "df = pd.DataFrame({'m [M_earth]': np.round(mass_arr/3e-6,2), 'Our Log-Uniform': result_arr, 'Johnson Log-Uniform': johnson_logn_new, 'Our Fiducial': N_power_our_fid_arr*result_arr, 'Johnson Fiducial Power': johnson_logn_new*N_power_new_arr})\n", + "print(df)" + ] + }, + { + "cell_type": "code", + "execution_count": 73, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([8.19674456e+00, 3.34375141e+01, 8.78681152e+01, 2.57978574e+02,\n", + " 8.14157860e+02, 2.59035151e+03, 8.19974070e+03])" + ] + }, + "execution_count": 73, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "result_arr" + ] + }, + { + "cell_type": "code", + "execution_count": 94, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([77.01497063, 10.55438725, 3.45940017, 2.9915818 , 3.00140918,\n", + " 3.01303228, 2.99977118])" + ] + }, + "execution_count": 94, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "result_arr_point_3/np.array([0.0545, 1.7478, 18.99, 72.58, 233.82, 744.04, 2373])" ] }, { @@ -327,6 +891,79 @@ "execution_count": null, "metadata": {}, "outputs": [], + "source": [ + "#full power law comparison\n", + "M_norm = 3e-6\n", + "Z_fiducial = 10\n", + "f = Ffp(1, l = 1.0, b = -1.03, ds=8.5, u_t = 1, m_min=1e-12, m_max= 1e-1)\n", + "z_earth = Z_fiducial/(f.Z*(M_norm/f.M_norm)**(-p))\n", + "dgdt_arr = np.array([f.differential_rate_mw(t, finite=True, v_disp=220) for t in tqdm(ts)])\n", + "dgdt_interp = interp1d(ts, dgdt_arr, kind='linear')\n", + "\n", + "rate = quad(lambda t: dgdt_interp(t) * roman_efficiency(t), 0.25, 24*72*6, epsabs=0, epsrel=1e-1)[0]\n", + "print(rate * 24*72*6 * 2.4e8 * z_earth)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "525.0256409207203" + ] + }, + "execution_count": 158, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "#Should be close to for power-law calc and log-uniform calc to agree\n", + "sum(N_power_our_fid_arr*result_arr)" + ] + }, + { + "cell_type": "code", + "execution_count": 146, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0, 0.5, 'Number of Events')" + ] + }, + "execution_count": 146, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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nc+fOeHh4EBoayu+//47JZCqykTSTycScOXO466678PLyokGDBvz000+5r//90VhkZGTuCFCPHj0wmUxERkYC8MMPP9C0aVPc3d2pU6fOFWVH6tSpw2uvvcbw4cPx9fVl9OjRzJs3j0qVKrF06VIaNWqEl5cXAwYMIC0tjfnz51OnTh0qV67M448/rrlyIqWF1QoHfoHPesL8vkYS5ORirP56bCsMnF+oJOjP+GQe/2Yn4dMi+XpzLFk5FtoEV+azYW35dXxX7mpVq9QmQaBEqGhZrZCV5pg/VmuhQn766af54YcfmD9/Pjt27KB+/fr07t2bs2fP5jlv8uTJTJ8+nW3btuHi4sKDDz6Y5/XDhw+zZMkSli5dytKlS1m9ejVvvvkmAAkJCdx77708+OCD7Nu3j8jISPr374/1Uszvv/8+06dPZ9q0aezatYvevXtzxx13cOjQoStiePLJJ4mKiqJhw4bce++95OTkFOpzL168mPHjxzNp0iT27NmT+8hp1SqjiKDFYqFfv354eXmxefNmZs+ezeTJkwvV17W88sorDBw4kF27dnHrrbdy//33X3HvgTzJ5w8//EBCQgIdO3Zk+/btDBw4kMGDB7N7925efvllXnjhBebNm5fn/e+88w5hYWFs376dF154AYD09HQ++OADFi5cyK+//pr797Js2TKWLVvGggULmD17Nt9//32Rf24RKUIWM+z+Hj7uDN8MhuNbjTIY7UbDuJ3Qbyb4N7Dpklarlc1Hkhg+dwu3fbCOn/8wNkLs3qgq3z7cge/HdOCmJtUcuhFiUdGjsaKUnQ5vFP6RxXV5Ph7cbFuamJaWxqxZs5g3bx59+vQB4NNPP2XFihV89tlnPPXUU7nnvv7663Tr1g2AZ599lttuu42MjAw8PIyJcBaLhXnz5uWOWgwZMoSVK1fy+uuvk5CQQE5ODv379yc42KhL06xZs9xrT5s2jWeeeYbBgwcD8NZbb7Fq1SpmzJhBRERE7nlPPvkkt912G2AkEE2bNiU6OprGjRvb9Lkv9zl8+HAeffRRACZOnMimTZuYNm0a4eHh/Pbbbxw+fJjIyMjcx1Ovv/46PXv2tLmvaxk+fDj33nsvAG+88QYffvghW7Zs4ZZbbslznpubGwEBAQD4+fnlxvTuu+9y00035SY3DRs2ZO/evbzzzjsMHz489/09evTgySefzD1et24d2dnZuaNiAAMGDGDBggWcOnUKb29vQkNDCQ8PZ9WqVQwaNKhIP7eIFIGcLNi18FIZjCNGm5sPtBsJNz4KPtVsvuS19gB6pFs9QgMrFuUnKBE0IlSOHT58mOzsbDp16pTb5urqSvv27dm3b1+ec5s3b577dY0aNQBITEzMbatTp06eybs1atTIfb1FixbcdNNNNGvWjHvuuYdPP/2Uc+eMf2ApKSnEx8fniQGgU6dONsdgi3379l2zzwMHDlC7du08c3Tat2+f5/w+ffrg7e2Nt7c3TZs2LVQcf/9MFSpUwMfHx6bPdLXPcejQoTyPtNq2bXvFe728vHKTIIBq1apRp04dvL2987QV9h6LiJ1kpcOmj+GDlvDT40YS5FkZwifDE7uh5ys2J0HZZguLdx6nz/trGfXFNrYfO4ebsxP33RDEqie78+G9rcpkEgQaESparl7GyIyj+rbR5UdT/9zi3Gq1XtHm6vrX5lqXX7NYLPm+fvmcy687OzuzYsUKNmzYwG+//caHH37I5MmT2bx5M1WqVCmyGGx1rT7z6/+f5syZw8WLF/PEVrGi8YMiOTn5ilVj58+fz7MC7O/v+3tMtnym/OK05vOYtEKFK0cL8+v7euMRETvKSIYtnxplMNKTjDbv6tDxcWgzHNy9r/n2fC9ZyvcAKgpKhIqSyWTz4ylHql+/Pm5ubqxbt4777rsPgOzsbLZt21bkS85NJhOdOnWiU6dOvPjiiwQHB7N48WImTpxIYGAg69ato2vXrrnnb9iw4YoRmKLUpEkT1q1bx9ChQ/P02aRJEwAaN25MbGwsp06dolo1439W/5xEXrNmzSuu26BBA5ycnNi6dWvuY0Aw5kmdOHGCRo0aFennCA0NZd26dXnaNmzYQMOGDXF2Ll1LWEXkKtLOGMnPlk8hM8Voq1znUhmM+8DF3eZLJl/M5stNx/h8XQxJaVkAVKngxoOdQ3jgxmB8PW3fWbq0UiJUjlWoUIFHHnmEp556Cj8/P4KCgnj77bdJT09n5MiRRdbP5s2bWblyJb169SIgIIDNmzdz+vTp3KTjqaee4qWXXqJevXq0bNmSuXPnEhUVxVdffXXdfZ84cYKoqKg8bUFBQTz11FMMHDiQ1q1bc9NNN/Hzzz/z448/8vvvvwPQs2dP6tWrx7Bhw3j77bdJTU3NnSx9rZEiHx8fHn74YSZNmoSLiwstWrQgPj6eyZMn06RJE3r16nXdn+nvJk2aRLt27Xj11VcZNGgQGzdu5KOPPmLmzJlF2o+IOEDyCdjwIWyfBznGaA1VGxt7ADXtD862/wova3sAFQUlQuWQxWLBxcX4q3/zzTexWCwMGTKE1NRU2rZty/Lly6lcuXKR9VexYkXWrFnDjBkzSElJITg4mOnTp+dO0B43bhwpKSlMmjSJxMREQkND+emnn2jQwLZVDvmZNm0a06ZNy9M2d+5chg8fzvvvv88777zDuHHjCAkJYe7cuXTv3h0wHuctWbKEUaNG0a5dO+rWrcs777xD3759cyeIX817771HjRo1eP755zl69CgBAQGEh4ezcOHC3PteVFq3bs23337Liy++yKuvvkqNGjWYMmVKnonSIlLKJB2G9TMg6pu/ymAEtoIuT0KjWwtVBqOs7gFUFEzW/CYUCGBM5PX19SU5OTl37sdlGRkZxMTEEBIS8q+/GEuaW265hfr16/PRRx85OpRSZf369XTu3Jno6Og8k4zLs9L870CkxDm5B9a9C38uBuuluXl1uhibINYNN6Zf2OjP+GQ+Xn2E/+4ylr8DtAmuzKPd6xHeKKBMLH/Pz7V+f/+TRoTKkXPnzrFhwwYiIyMZM2aMo8Mp8RYvXoy3tzcNGjQgOjqa8ePH06lTJyVBIlK04rYaZTAO/vJXW4PexiOwoBtsvpzVamVLzFlmrT5M5IHTue3dG1Xl0e71aVen8r8uBilPlAiVIw8++CBbt25l0qRJ3HnnnY4Op8RLTU3l6aefJi4uDn9/f26++eYrdm0WESkUq9XY+XntdIhZc6nRBE3vgs5PQI3m13x7fsrjHkBFocwnQqmpqfTo0YPs7GzMZjPjxo1j9OjRjg7LIRYvXuzoEEqVoUOH5llVJiJy3SwWOPgrrJ0GJ7YbbU4u0GIwdHoC/OvbfMlss4Wlu+L5OPIIB04ZpY3cnJ0Y0LYWD3etS3CV0rOa2RHKfCLk5eXF6tWr8fLyIj09nbCwMPr375+7f42IiIjdmXNg7xJjBChxr9Hm4gGthxn7AFWqbfMltQdQ0SjziZCzszNeXsZmgxkZGZjN5nw3nBMRESlyOZnwxzewbgacizHa3Hyg/Si4cSx4V7X5kvntAeTv7caITuVvD6CiUOLXy61Zs4a+ffsSGBh41crfM2fOzF210qZNG9auXZvn9fPnz9OiRQtq1arF008/jb+/f5HFp6RKyjN9/4tcRVYabJwJ77eEn8cbSZCnH/T4P3hiD9z8ss1JUGJKBlN/2UenN//HO8sPkJSWRa3Knrx6Z1PWPdODseH1lQQVQokfEUpLS6NFixaMGDGCu++++4rXFy1axIQJE5g5cyadOnXik08+oU+fPuzdu5egoCAAKlWqxB9//MGpU6fo378/AwYMyN0tuLAulyJIT0/H09Pzuq4lUlplZRn/G9Uu1iKXXDwPWz+FTbP+KoPhUwM6joM2wwpVfSC/PYAaVfO5tAdQDVzK8R5ARaFU7SNkMplYvHgx/fr1y2274YYbaN26NbNmzcpta9KkCf369WPq1KlXXOORRx6hR48e3HPPPVe8lpmZSWZmZu5xSkoKtWvXvuo+BAkJCZw/f56AgAC8vLy0HFHKFYvFQnx8PK6urgQFBen7X8q3q5XB6PwEtLi3UGUwyuseQEWh3OwjlJWVxfbt23n22WfztPfq1YsNGzYAcOrUKTw9PalYsSIpKSmsWbOGRx55JN/rTZ06lVdeeaXA/V+uTK7q3FJeOTk5KQmS8i0l/q8yGNnpRlvVJpfKYNxlcxmMq+0BFN6oKo90r0/7EL8iDF6glCdCZ86cwWw2X/GYq1q1apw8eRKA48ePM3LkSKxWK1arlccee4zmzfPfn+G5555j4sSJuceXR4SuxmQyUaNGDQICAsjOzi6CTyRSuri5ueFUiO3+RUq9c0eNCdBRX4HZeER8PWUwrrYH0O3NAxmjPYDsqlQnQpf983+jVqs1t61NmzZXFN28Gnd3d9zdbR++dHZ21hwJEZHy4PQBWPsu7P4OrGajLagjdH0S6vWwuQxGvnsAuThxT5taPKQ9gIpFqU6E/P39cXZ2zh39uSwxMfG6J0OLiIjkSvgD1kyDfT8Dlybs1LvJSICCO9p8uavtAfTAjcE82KmO9gAqRqU6EXJzc6NNmzasWLGCu+66K7d9xYoV11VCIiIigoiICMxmc1GEKSIipVXsZmMX6EO//dXW+HZjDlDN1jZfTnsAlTwlPhG6cOEC0dHRuccxMTFERUXh5+dHUFAQEydOZMiQIbRt25YOHTowe/ZsYmNjr6uo6NixYxk7dmzurHMRESlHLtcBWzMNjl7al87kBGF3Q+eJUC3U5ksmpmTw2foYvtoUy4XMHABqVfbk4a51uadtbTxcNb3CUUp8IrRt2zbCw8Nzjy9PZh42bBjz5s1j0KBBJCUlMWXKFBISEggLC2PZsmUEBwc7KmQRESmNrFajDtiaaXBim9Hm5Aot74VOE6BKPZsvqT2ASr5StY9Qcfn7o7GDBw8WaB8CEREppSzmS3XA3oVTe4y2y3XAOo0D31o2X1J7ADmWLfsIKRG6BltupIiIlDLmbNj1Lax7F5IuTcFw84Z2o6DDWPAOsOly2gOo5Cg3GyqKiIjYLDsDdi6A9R9AcqzR5lEJbnwE2j8EXrYlLNoDqHRTIiQiIuVD5gXYPtfYCfrCKaOtQgB0fAzaPgjuPjZdLtts4ec/4vl49WEOnroAaA+g0kiJUD60fF5EpAy5eB62zDZqgV00RmyoWAs6jYfWQ8DVtsLZF7P+2gPoxHljDyAfdxce6BDMiE51CPDRHkClieYIXYPmCImIlGIXTsOmCNgyB7KMXZvxq2ssgW8+CFzcbLpccno2X2w8ytwNRzn7tz2AHuxs7AFU0UN7AJUUmiMkIiLlV/KJvwqh5hgjNgSE/lUI1cm2PXtOpWQwZ+0Rvt4cS1qW8aSgtp8nD3etx4A2tbQHUCmnREhERMqGszGwfgbs/AoslwphB7Y2ymA07GNzIdQjpy8we80RftxxgiyzsQdQ4+rGHkC3NdMeQGWFEiERESndEvcbS+B3f/9XIdTgztB1EtQNt7kQ6u7jycxaHc0ve05yefJI+zp+PBJej+4Nq15R6FtKNyVC+dBkaRGRUiA+yqgDtm8puYVQ698MXZ6E4A42XcpqtbLxcBKzVh9m7aEzue03NwlgTLd6tK2jPYDKKk2WvgZNlhYRKYFiNxllMKJX/NXW+HbjEVhgK5suZbFY+W3vKWatPswfcecBcHYycUcLYw+gRtVtW1IvJYMmS4uISNlitcKRVbBmOhxbZ7SZnCBsAHSZCAFNbLpcVo6FJVEn+Hj1YY6cTgPA3cWJwe1qM6pLXWr7eRX1J5ASSomQiIiUXBaLUQh17TQ4sd1oc3KFlvdB5wnGcngbpGXmsHBrHHPWHiEhOQOAih4uDO1Qh+Gd6uDv7V7EH0BKOiVCIiJS8ljM8OdioxBq4p9Gm4sntBkGHR+3uRDqubQs5m04yvyNRzmfbqwoC/BxZ1SXEO5tH4SP9gAqt5QI5UOTpUVEHMScDbsWGQnQ2cNGm5sPtB8FN44F76o2XS7+/EXmrI3hmy2xXMw2fqbXqeLFw93q0b91TdxdtAdQeafJ0tegydIiIsUk+yLs/BLWvw/JcUabZ2W44RG44SHjaxtEJ6by8eojLNl5ghyL8WuuaWBFHu1en1vCquPspCXwZZkmS4uISOmQeQG2fW7sBJ2WaLRVCDAef7V9ENy9bbrczthzzIo8zG97T+W2dahbhUe616NLA3/tASRXUCIkIiLF7+I52DwbNs/6qxCqb22jEGqrB2wqhGq1Wll76AyzIg+z8UhSbnvvptUY060erYJsG02S8kWJkIiIFJ8Lp2HjR7D1s78VQq1nLIFvNtCmQqhmi5Vf9iQwK/Iwf8anAODiZKJfq5qM6VaX+gHaA0j+nRIhERGxv+QTsOED2D7/b4VQmxplMEL72VQINTPHzI87TvDJ6sMcTUoHwNPVmXvbBzGqSwiBlQo+miSiREhEROzn7BFY9x5EffNXIdSabYwyGA1vsakQampGNl9vjuWzdTEkpmYCUMnLlWEd6jCsYx38KhR8NEnkMiVC+dDyeRGR65S4D9ZOhz0/gNWo3E6dLtBlEtTtblMh1DMXMpm3/ihfbDxKSkYOADV8PRjVpS6D29Wmgrt+lUnhafn8NWj5vIiIjeJ3GnXA9i/9q61+T6MOWNCNNl0q7mw6n649wqKtcWTmGMlU3aoVGNOtHv1a1sTNpeCjSVK+aPm8iIgUr2MbjTIY0b//1dbkDmMEKLClTZc6cDKVj1cf5qc/4jFf2gOoRS1fHulen16h1XDSHkBShJQIiYhI4VitcPh/xiOwY+uNNpMzNBsAnSdCQGObLrf92FlmrjrMyv2JuW1dGvjzSLd6dKhXRXsAiV0oERIREdtYLHDwF+MRWPwOo83JFVrdD50mgF9IgS9ltVqJPHCaWZGH2XL0LGBMH+oTVp1HutWnWS1fO3wAkb8oERIRkYLJLYQ6HRL3Gm0untBm+KVCqDULfKkcs4X/7jb2ANp/0thPyNXZxN2ta/FQ17rUrWrbjtIihaVESERErs2cDX8shHXvGsvh4VIh1NFw46M2FULNyDbz3fbjzF5zmLizxn5CFdycue+GIEZ2rkt1Xw97fAKRq1IiJCIi+bOYYff3EDkVzsUYbZ6VjeSn/WibCqEmX8zmy03HmLs+hjMXsgDwq+DGiI51GNIhmEpe2gNIHEOJkIiI5GW1wr6fYdXrcHq/0VahKnQcZ3Mh1MTUDD5fd5SvNh0jNdPYA6hmJU9GdwlhULsgPN0KvqO0iD0oEcqHNlQUkXLJajWWv//vVUj4w2jz8DUKobZ/2KYE6FhSGp+sOcL324+TdWkPoAYB3jzSvR59WwTi6qw9gKRk0IaK16ANFUWk3Di6Dv73GsRuNI7dvOHGR6DDY+BZqcCX+TM+mY9XH+G/u+K5tAUQrYIq8Wj3+tzUOEB7AEmx0IaKIiJSMMe3GyNAR1YZxy4e0G4UdH4CKvgX6BJWq5XNMWeZFXmY1QdP57Z3b1SVR7rVo32In/YAkhJLiZCISHl0cg+segMO/Nc4dnKB1sOMUhgVAwt0CYvFysr9icyKjGZH7HnjMia4rXkgY7rVpWmg9gCSkk+JkIhIeXImGiLfgD0/AlYwOUHzwdD9Gahcp0CXyDZb+Ckqno9XH+ZQ4gUA3FycuKeNsQdQcJUK9otfpIgpERIRKQ/Ox8LqtyDqG7BeWggS2g/Cn4eqjQp0iYtZZhZtjeXTtTGcOG/sAeTt7sIDNwbzYKc6BFTUHkBS+igREhEpy1JPGjtBb58HZmP/Hhr0hh6ToUaLAl0iOT2b+RuPMm/DUc6mGdfw93bjwc4h3H9DML6ernYKXsT+lAiJiJRF6Wdh3Xuw5VPIMUZvCOkKPV6A2u0LdInElAw+WxfDl5uOkZZljCLV9vPkoa71uKdNLTxctQeQlH5KhEREypKMFNgYYfzJMmp4UaudkQDV7VagS8QmpfPJmsN897c9gBpX9+GR7vW4rVkNXLQHkJQhSoRERMqCrHTYMhvWz4CL54y2as2gx/9Bw95GSfd/ceBkKrMio/l5VwLmS5sAtQ6qxNjw+vRoHKAl8FImKRESESnNcjJh+3xYOw0unDLaqjQwJkGH9gOnfx+92RF7jpmrDvP7vlO5bV0bVuXR7vW4QXsASRmnREhEpDQy58AfX8PqtyE5zmirFATdn4NmA8H52j/erVYr66LPMHPVYTYeSQKMQaM+YdV5pFt9mtXSHkBSPigRyodqjYlIiWWxwJ8/Gpshnj1stPnUMDZCbDUUXK5dxd1isfLb3lPMjIxm1/FkAFycTNzVqiYPd6tH/YCC1xMTKQtUa+waVGtMREoMqxUOLIP/vQ6JfxptXlWMUhjtRoGr5zXffnkTxFmrDxN9aRNED1cnBrcLYnTXutSsdO33i5QmqjUmIlJWWK1GHbD/vQYnthtt7hWh4+NGUVR3n2u+PSPbzLfb4vhk9ZHcTRB9PFwY2iGYEZ1C8Pd2t/cnECnRlAiJiJRUxzYaBVGPrTeOXb3ghjFGEuTld823pmRk8+WmY3y+LoYzF/JugvjAjcFU9NAmiCKgREhEpOSJ32mMAEX/bhw7u0HbkdBlIngHXPOtZy5kMnd9DF9sPEZqRg4ANSt58nC3ugxsW1ubIIr8gxIhEZGSInEfrHod9v1sHJucodUD0O1p8K11zbeeOH+RT9ccYeHWWDKyjU0Q6wd480i3etzRMhBXbYIoki8lQiIijnb2CES+Cbu+BayACZrdA92fhSr1rvnW6MQLfLz6MEt2niDn0iaILWr58kj3+vQKrYaTk/YAErkWJUIiIo6SfNzYB2jnl39VhG/SF8InQ0CTa7519/FkZkZG8+ufJ7m89rdjvSo82r0+nepX0SaIIgWkREhEpLhdSIS178K2z8GcabTVv9kohxHY6qpvs1qtbI45S8SqaNYeOpPb3jO0Go92r0eroMr2jlykzFEiJCJSXC6eg/UfwOaPITvdaAvuZBREDe5w1bdZrVb+tz+RiFXR7Ig9D4Czk4m+zWvwSPf6NKp+7SX0InJ1SoREROwtMxU2fQwbPoRMYzdnAlsbI0D1ely1IGqO2cJ/dycwK/Iw+08aleTdXJy4p00tHu5aj6AqXsX1CUTKLCVCIiL2kn0Rtn4G696FdKOeFwGhRgLU6NarJkCZOWZ+2H6CT9Yc5liSMXJUwc2ZBzoEM7JTCAEVPYrrE4iUeUqERESKWk4W7PwC1kyD1ASjza+eURG+af+rVoRPy8zh682xzFl3hFMpxtyhyl6ujOgUwrAOdfD10iaIIkVNiZCISFGxmGHXImMp/PljRptvbWMfoBb3XbUi/Lm0LOZtOMr8jUc5n54NQPWKHozuWpd729fGy00/qkXsRf+6RESul8UC+/5jVIQ/c9BoqxAAXZ+CNsPAJf96XieTM5iz9ghfb4klPctYPh/iX4FHutWjX6uauLloE0QReyvziVBcXBxDhgwhMTERFxcXXnjhBe655x5HhyUiZYHVCod+M+qBndxttHlWhk4ToP1D4Jb/ZOajZ9L4ZM1hfth+giyzsQt0aI2KPBpejz5hNXDWJogixabMJ0IuLi7MmDGDli1bkpiYSOvWrbn11lupUKGCo0MTkdLsyGqjHtjxLcaxmw90GAsdHgUP33zfsi8hhVmRh1m6K55Lm0DTvo4fj4TXo3vDqtoEUcQBynwiVKNGDWrUqAFAQEAAfn5+nD17VomQiBRO3Fb43xSIWWMcu3hC+9HGKFCFKvm+Zfuxs8xcdZiV+xNz28IbVeXR8Pq0q3PtKvIiYl8l/gH0mjVr6Nu3L4GBgZhMJpYsWXLFOTNnziQkJAQPDw/atGnD2rVr873Wtm3bsFgs1K5d285Ri0iZk7ALvh4En91sJEFOrsbjr/FR0OvVK5Igq9XK6oOnGfTJRu6etZGV+xMxmeD25jX477jOzB3RXkmQSAlQ4keE0tLSaNGiBSNGjODuu+++4vVFixYxYcIEZs6cSadOnfjkk0/o06cPe/fuJSgoKPe8pKQkhg4dypw5c4ozfBEp7U4fhMg34M/FxrHJCVreB92egUpBV5xutlhZ/udJZkZGs+dECgCuzibubl2Lh7vVI8Rfo9EiJYnJar1crq/kM5lMLF68mH79+uW23XDDDbRu3ZpZs2bltjVp0oR+/foxdepUADIzM+nZsyejR49myJAhBe4vJSUFX19fkpOTqVixYpF9DhEpBc4dhci3YNdCsBoTmgm7G7o/D/71rzg9K8fCkqgTfLz6MEdOpwHg6erMve2DGN01hBq+nsUYvEj5Zsvv7+seETKbzezevZvg4GAqVy7egn9ZWVls376dZ599Nk97r1692LBhA2AMTw8fPpwePXr8axKUmZlJZmZm7nFKSkrRBy0iJVtKAqx5B3Z8ARZjTx8a3WpUhK8edsXpF7PMLNoay+w1R4hPzgCgoocLwzvWYXinEPwquBVn9CJiI5sToQkTJtCsWTNGjhyJ2WymW7dubNiwAS8vL5YuXUr37t3tEGb+zpw5g9lsplq1annaq1WrxsmTJwFYv349ixYtonnz5rnzixYsWECzZs2uuN7UqVN55ZVX7B63iJRAaUlGKYytcyDHSGioG24URK3V5orTky9m8+WmY3y+LoaktCwAqvq4M6pzCPffGIy3e4mfeSAiFCIR+v7773nggQcA+Pnnn4mJiWH//v188cUXTJ48mfXr1xd5kP/mn0tOrVZrblvnzp2xWCwFus5zzz3HxIkTc49TUlI0sVqkrLt4HjZGwKaZkHXBaKt9I9z0AtTpfMXpp1Mz+Xx9DF9uPEZqZo5xup8nD3etx4A2tfBwdS7G4EXketmcCJ05c4bq1asDsGzZMu655x4aNmzIyJEj+eCDD4o8wGvx9/fH2dk5d/TnssTExCtGiQrC3d0dd/f8d4AVkTImKw02fwzrP4CM80ZbjRbGCFD9m68oiBp3Np1P1x5h0dY4MnOM/1w1qubDI93rcXvzGrg4l/hFuCKSD5sToWrVqrF3715q1KjBr7/+ysyZMwFIT0/H2bl4/yfk5uZGmzZtWLFiBXfddVdu+4oVK7jzzjsLfd2IiAgiIiIwm81FEaaIlCQWM/yx0NgN+nJB1KqNjYKoTe64IgE6dCqVWasP85+oeMyXdkFsWbsSY8Prc1PjAJy0C7RIqWZzIjRixAgGDhxIjRo1MJlM9OzZE4DNmzfTuHHjIg/wwoULREdH5x7HxMQQFRWFn58fQUFBTJw4kSFDhtC2bVs6dOjA7NmziY2NZcyYMYXuc+zYsYwdOzZ31rmIlBGHV8FvL8CpS+UwKgUZk6Cb3QNOef8j90fceWZGRrP8z1O5bV0a+PNI93p0qFtFu0CLlBE2J0Ivv/wyYWFhxMXFcc899+Q+SnJ2dr5i9VZR2LZtG+Hh4bnHl+fwDBs2jHnz5jFo0CCSkpKYMmUKCQkJhIWFsWzZMoKDg4s8FhEppRL3wYoXjbpgAO6+0PVJY0NEV4/c06xWKxuPJDFz1WHWRZ/Jbe/dtBqPdq9Pi9qVijlwEbE3m/cR+uKLLxg0aNAVc2mysrJYuHAhQ4cOLdIAHeHvj8YOHjyofYRESqsLiUZF+B3zjb2AnFyg3Sjo+nSenaAtFiu/7zvFzMjDRMWdB8DZycSdLQN5pFs9GlTzcdAHEJHCsGUfIZsTIWdnZxISEggICMjTnpSUREBAQJmaV6MNFUVKqax02BQB62b8tRKs8e3QcwpUqZd7Wo7ZwtJdCcyMjObgKeM8dxcnBrerzeiudalVOf/q8SJSstl1Q8W/L03/u+PHj2s+jYg4lsUCuxYZE6FTThhtga2h9+sQ3DH3NLPFyuKdJ3h/5UHizl4EwMfdhQc6BPNgpxCq+mj1qEh5UeBEqFWrVphMJkwmEzfddBMuLn+91Ww2ExMTwy233GKXIEVE/lXMGlg+GU7uMo59g+Dml6Bpf3AylrZbrVYiD57mrV/2s/9kKgBVKrjxYOcQHrgxGF9PV0dFLyIOUuBE6HJ9r6ioKHr37o23t3fua25ubtSpUyffoqilkZbPi5Qipw8YE6EP/mocu1eELpPghjF5JkLvOn6eqcv2s/FIEmCUwRgbXp+hHerg6aZNEEXKK5vnCM2fP59Bgwbh4eHx7yeXcpojJFKCXTgNkVNh+zywmsHkDO1GGlXhK/jnnhablM47vx3g5z/iAXBzcWJ4xzo82r0elbxUB0ykLLLrHKFhw4YBxiqxxMTEK8pXBAUF2XpJEZGCy75olMNY+x5kGY+3aHQb9HwF/BvknnY2LYsPVh7iq83HyDZbMZngrpY1mdiroSZBi0gumxOhQ4cO8eCDD+ZWd7/s8iRqPU4SEbuwWGD3d7ByCqQcN9pqtIRer0FIl9zTLmaZ+Xx9DB9HHs6tBda1YVWevaUxoYEa2RWRvGxOhIYPH46LiwtLly7N3V1aRMSujq4zJkInRBnHFWvBTS9e2hHamAidY7bww47jvLviIKdSMgFoGliR5/o0oXMD/6tcWETKO5sToaioKLZv326XcholhSZLi5QQZw4ZE6EPLDOO3XygyxNw46Pg6gkYo9Er9yXy1q/7OZRo7AVUq7InT/VuRN/mgaoFJiLXZHMiFBoaypkzZ/79xFJMtcZEHCztDES+Cds+/2sidNsR0O1Z8K6ae9rO2HNMXbafLUfPAlDJy5XHwuszpEMw7i5aCSYi/87mROitt97i6aef5o033qBZs2a4uubdd0Orq0Sk0LIzYPMsWPsuZKYYbQ37GBOhqzbKPS3mTBrvLN/Pst0nAWM36Ac7hzCmWz3tBSQiNrF5+bzTpefx/5wbVBYnS2v5vEgxsVhgzw+w8hVIjjPaqjc3JkLX7ZZ72unUTD5YeYhvtsSSYzFWgg1oXYuJvRpSw9fTQcGLSElj1+Xzq1atKnRgIiJXOLbBmAgdv8M49gk0JkI3H5Q7ETotM4c5a2OYveYwaVnGf7Z6NA7gmVsa06i6CqKKSOHZnAh169bt308SEfk3Z6Lh95dg/1Lj2M0bOk+AG8eCm7HPT7bZwqKtccz4/RBnLhgrwVrU8uXZPk3oUK/KVS4sIlJwNidCAGvXruWTTz7hyJEjfPfdd9SsWZMFCxYQEhJC586dizrGYqdVYyJ2lJYEa96GrXPAkgMmJ2g9DMKfB+8AwHjUvvzPU7z9636OnEkDILiKF0/1bsRtzbRth4gUHZsToR9++IEhQ4Zw//33s2PHDjIzjf+lpaam8sYbb7Bs2bIiD7K4adWYiB1kZ8CW2bBmGmQmG20NekHPVyHgr+04th09y9Rf9rP92DkA/Cq4Ma5Hfe67IRg3FydHRC4iZZjNidBrr73Gxx9/zNChQ1m4cGFue8eOHZkyZUqRBiciZYDV+tdE6POxRlu1ZtDrVagXnntadOIF3v51P7/tPQWAp6szo7qE8FDXuvh4aCWYiNiHzYnQgQMH6Nq16xXtFStW5Pz580URk4iUFbGbjInQJ7YZxz41oMcL0GIwOBn7/CSmZPDe74f4dlscZosVJxMMalebCTc3pFrFsl/cWUQcy+ZEqEaNGkRHR1OnTp087evWraNu3bpFFZeIlGZJh+H3l2HfT8axawXo/AR0+Gsi9IXMHGavPsyna2O4mG3Mx+sZWo1nbmlE/QCtBBOR4mFzIvTwww8zfvx4Pv/8c0wmE/Hx8WzcuJEnn3ySF1980R4xikhpkX4W1rwDWz4FS/alidBDofvz4FMNgKwcC99sieWDlYdISssCoFVQJZ6/tQnt6vg5MnoRKYdsToSefvppkpOTCQ8PJyMjg65du+Lu7s6TTz7JY489Zo8Yi51WjYnYKCfTSH7WvA0ZlyZC1+8JPadAtVDAWAm2bPdJ3lm+n6NJ6QDU9a/A07c0onfT6loJJiIOYfPO0pelp6ezd+9eLBYLoaGheHt7F3VsDqedpUX+hdUKe5cYj8HOHTXaqoVdmgjdI/e0TUeSmPrLfv6IOw+Av7c7429uwOB2tXF11kowESladt1Zev78+QwYMIAKFSrQtm3bQgcpIqVc3BZjIvTxLcaxd3Xo8X/Q8r7cidAHT6Xy1i/7Wbk/EQAvN2ce6lqX0V3qUsG9UNuYiYgUKZtHhKpWrUp6ejp9+/blgQce4JZbbsHFpWz+QNOIkEg+zsYYI0B7lxjHrl7QaTx0fBzcKgCQkHyR91Yc5Pvtx7FYwdnJxL3tazP+poZU9XF3WOgiUj7YdUQoISGBX3/9lW+++YbBgwfj6enJPffcwwMPPEDHjh0LHbSIlHAXzxmbIW7+xJgIjQlaPWCMAvlUByAlI5uPIw/z2boYMnMsAPQJq85TvRtRt2rZe3wuIqVfoecIgTFPaPHixXz99df8/vvv1KpVi8OHDxdlfA6lESERICfLKIex+i3IOG+01eth7AhdPQyAzBwzX26K5aP/HeJcejYA7epU5tk+TWgTXNlBgYtIeWXXEaG/8/Lyonfv3pw7d45jx46xb9++67mciJQkVquxD9CKl+BcjNEWEGpMhK5/MwAWi5Wfd8Uz7bcDxJ29CED9AG+euaUxNzcJ0EowESnxCpUIXR4J+uqrr/j999+pXbs29957L999911RxycijnB8mzEROm6TcexdDcInG4/CLk2EXh99hjd/2c/uE8Zy+QAfd57o2ZB72tTCRSvBRKSUsDkRuvfee/n555/x8vLinnvuITIyUnODRMqKc0fh91fgzx+NYxdP6DQOOo4Dd2OOz974FN78dT9rDp4GwNvdhTHd6vJg5xC83MrmwgkRKbts/qllMplYtGgRvXv3LrOrxbShopQ7F8/D2ksToc1ZgAla3g89JkPFQABOnL/I9N8OsHjnCaxWcHEy8cCNwTzeoz5VvLUSTERKp+uaLF3WabK0lHk5WbDtc1j9prEqDKBud+j1GlRvBkByejYzI6OZu+EoWZdWgt3evAZP9W5EcJUKDgpcROTqbPn9XeAH+bfeeivJycm5x6+//nqeavNJSUmEhobaHq2IFD+rFfb9DDNvhF+fMZKgqo3h/u9hyBKo3oyMbDOz1xym6zur+GTNEbJyLNxY14//jO3ER/e1VhIkImVCgUeEnJ2dSUhIICAgAICKFSsSFRWVW3H+1KlTBAYGlqnHSRoRkjLpxHZY/n8Qu8E4rlD10kToIeDsgsViZUnUCab/dpAT542VYI2q+fBsn8Z0b1RVK8FEpMSzy/L5f+ZLeqImUsqcj4WVU2D3pdWdLp7Q8TFjV2h3H6xWK2sOnubNX/azLyEFgBq+HjzRsyF3t66Fs5MSIBEpe8rmbGcR+UtGMqydDps+BnMmYIIW9xo7QvvWBGDPiWSm/rKP9dFJAPh4uPBo9/qM6FQHD1dnBwYvImJfBU6ETCbTFUPiGiIXKcHM2bBtrjEROt1IcAjpakyErtECgLiz6Uz77QD/iYoHwM3ZiSEdgnksvD6VK7g5KnIRkWJj06Ox4cOH4+5uLJPNyMhgzJgxVKhgTJjMzMy0T4QiYhurFQ4sgxUvQlK00ebfyNgRukEvMJk4l5bFR6uiWbDxGFlmYyVYv5aBTOrViNp+Xg4MXkSkeBU4ERo2bFie4wceeOCKc4YOHXr9EYlI4Z3cDb88C8fWGcde/hD+PLQeBs4uZGSb+Xx9DLMiD5OakQNA5/r+PNunMWE1fR0YuIiIYxQ4EZo7d6494xCR65GdYRRFXf8+WM3g4gEdxkKnCeBREbPFyg/b4nj3t4OcTMkAoEmNijzXpzFdG1Z1bOwiIg6kydIipd2xDfDT4389Bgu9E3q9DpVqY7VaWbX/FG/9coADp1IBqFnJkyd7N+TOFjVx0kowESnnlAiJlFYZKbDyFdg6xzj2rg63TYcmtwMQFXeeqcv2sTnmLAC+nq48Fl6fIR2CtRJMROQSJUIipdHB5bD0CUg5YRy3Hgo9XwXPShxLSuPt5Qf4764EANxcnBjRsQ6Pdq+Pr5erA4MWESl5lAjlQ0VXpcRKOwO/PvvXpoiV60DfD6BuN6xWKx9HHmb6bwfIsVgxmaB/q1pM7NWQmpU8HRq2iEhJVaASG61bt2blypVUrlyZKVOm8OSTT+LlVfaX2KrEhpQYVivs+QF+edrYE8jkZEyG7v48uHlhtVp5Z/kBZkYeBqBbw6o826cxTWro+1ZEyh9bfn8XKBHy9PTk0KFD1KpV64qaY2WZEiEpEZKPw9KJcGi5cRzQFO78EGq2AYw9vl777z4+WxcDwP/d1oRRXeo6KloREYcr8lpjLVu2ZMSIEXTu3Bmr1cq0adPw9vbO99wXX3zR9ohF5EoWC2z/HFa8DFmp4OwGXZ8ylsS7uF06xcqLP+3hy02xAEy5sylDO9RxWMgiIqVNgUaEDhw4wEsvvcThw4fZsWMHoaGhuLhcmUOZTCZ27Nhhl0AdQSNC4jBnoo0l8ZcrxNdqD3d8CAGNc08xW6w89+Muvt12HJMJ3uzfjEHtghwUsIhIyVHkj8b+zsnJiZMnT+rRmIg9mLNhw4cQ+aZRINW1Atz8ErQbBU5/LXnPMVuY9N0f/CcqHicTTB/Ygrta1XJg4CIiJUeRPxr7O4vFUujAROQa4qPgp8eMMhkA9W6CvjOgUt5RnqwcC+MX7uSXPSdxcTLx/uBW3Na8RrGHKyJSFhRq+fzhw4eZMWMG+/btw2Qy0aRJE8aPH0+9evWKOj6Rsi/7ojECtOFDozyGZ2W45U1oPghMeXd+zsg289jXO/h9XyJuzk5E3N+anqHVHBS4iEjp52TrG5YvX05oaChbtmyhefPmhIWFsXnzZpo2bcqKFSvsEaNI2XV0PczqBOtnGElQ07tg7BZoMfiKJOhilpnRX2zj932JuLs4MXtoGyVBIiLXyeY5Qq1ataJ37968+eabedqfffZZfvvtN02WFimIjBT4/SXY9rlx7FPDKI/R+LZ8T0/LzGHU/G1sPJKEp6sznw1rS8f6/sUYsIhI6WHXydIeHh7s3r2bBg0a5Gk/ePAgzZs3JyMjw/aISyglQmIXB36F/078W3mMYdBzCnhWyvf0lIxsHpy7lW3HzuHt7sLcEe1oV8ev+OIVESll7DpZumrVqkRFRV2RCEVFRZWLlWQihZZ2Bn55BvZ8bxxXDoE7PoCQrld9S3J6NkM/38wfx5Op6OHCFyNvoGXtSsUTr4hIOWBzIjR69Ggeeughjhw5QseOHTGZTKxbt4633nqLSZMm2SNGkdLNajVqg/3yDFw8e6k8xmPQ/Tlwu3qpmqQLmQz5bAt7E1Ko7OXKgpE3EFbTtxgDFxEp+2x+NGa1WpkxYwbTp08nPj4egMDAQJ566inGjRuH6R8TPEszPRqT63Y+zqgSH31pIUG1MGNjxJqtr/m2xNQMHpizmYOnLuDv7cZXo26kUXWfYghYRKT0s+scob9LTU0FwMenbP6AViIkhWaxwLbP4PeXIeuCUR6j29NGeQxn12u+NSH5Ivd/upkjZ9KoVtGdr0bdSP2A/EvaiIjIlWz5/W3z8vm/8/HxKRVJ0F133UXlypUZMGCAo0OR8uDMIZh3Kyx70kiCat8AY9YZdcL+JQmKO5vOwE82cuRMGjUrefLtwx2UBImI2NF1JUKlxbhx4/jiiy8cHYaUdeZsWDPN2BcodiO4eUOfd2DEr1C10b++/eiZNAZ9spG4sxcJ8vNi0cM3ElylQjEELiJSfhVqZ+nSJjw8nMjISEeHIWVZ/E74z+Nw6lJ5jPo3w+3vXVEe42qiEy9w36ebSEzNpG7VCnw96kaq+3rYMWAREYFSMCK0Zs0a+vbtS2BgICaTiSVLllxxzsyZMwkJCcHDw4M2bdqwdu3a4g9Uyqfsi7DiRfj0JiMJ8qwMd82G+78vcBK0/2QKg2dvJDE1k0bVfFj0UAclQSIixcSmRCg7O5vw8HAOHjxor3iukJaWRosWLfjoo4/yfX3RokVMmDCByZMns3PnTrp06UKfPn2IjY0tthilnIpZC7M6wvr3jfIYYXfD2K3Q4soaYVez50Qyg2dv4syFLJoGVuSbh26kqo+7nQMXEZHLbHo05urqyp49e4p1iXyfPn3o06fPVV9/9913GTlyJKNGjQJgxowZLF++nFmzZjF16lSb+srMzCQzMzP3OCUlpXBBS9mWkWyMAm2fZxz7BMLt70Kjq3+f5mdn7DmGfr6F1IwcWtSuxBcj2uPrde3J1CIiUrRsfjQ2dOhQPvvsM3vEYrOsrCy2b99Or1698rT36tWLDRs22Hy9qVOn4uvrm/undu3aRRWqlBX7l0HEDX8lQW1GwNhNNidBW2LO8sCczaRm5NCuTmW+HKkkSETEEWyeLJ2VlcWcOXNYsWIFbdu2pUKFvKta3n333SIL7t+cOXMGs9lMtWp5K3BXq1aNkydP5h737t2bHTt2kJaWRq1atVi8eDHt2rW74nrPPfccEydOzD1OSUlRMiSGC6fhl6fhzx+NY7+6xsaIdTrbfKn10WcYNX8bF7PNdKxXhTnD2uLlVi7WLYiIlDg2//Tds2cPrVsbu+L+c66Qo3aV/me/Vqs1T9vy5csLdB13d3fc3TU/Q/7GaoVdi+DXZ+HiOTA5Q8dL5TFcPW2+3KoDiTy8YDtZORa6NazKJ0Pa4OHqbIfARUSkIGxOhFatWmWPOArF398fZ2fnPKM/AImJiVeMEtkiIiKCiIgIzGbz9YYopdn52EvlMX43jqs1gzs/hMBWhbrcb3+eZOzXO8g2W7m5STUi7m+Fu4uSIBERRyr08vno6GiWL1/OxYsXAWMUpri5ubnRpk0bVqxYkad9xYoVdOzYsdDXHTt2LHv37mXr1q3XG6KURhYLbJ4NETcaSZCzO9z0Ijy0qtBJ0NJd8Tz6lZEE3dasBrMeaK0kSESkBLB5RCgpKYmBAweyatUqTCYThw4dom7duowaNYpKlSoxffr0Ig3wwoULREdH5x7HxMQQFRWFn58fQUFBTJw4kSFDhtC2bVs6dOjA7NmziY2NZcyYMUUah5QTpw/AT49D3GbjOKiDMRfIv0GhL/njjuM8+d0fWKxwV6uavDOgOS7OJX4LLxGRcsHmROiJJ57A1dWV2NhYmjRpkts+aNAgnnjiiSJPhLZt20Z4eHju8eXJzMOGDWPevHkMGjSIpKQkpkyZQkJCAmFhYSxbtozg4OAijUPKOHM2rJsBa94Gc5ZRHuPml6HtSHAqfNLyzZZYnl+8G6sVBrerzet3NcPZyTFz6URE5Eo2V5+vXr06y5cvp0WLFvj4+PDHH39Qt25dYmJiaNasGRcuXLBXrMXm73OEDh48qOrzZd2JHcYo0Kk9xnH9npfKY1zfisH5G47y0k9/AjC0QzAv922Kk5IgERG7s6X6vM0jQmlpaXh5eV3RfubMmTKz4mrs2LGMHTs290ZKGZWVDpFvwMYIsFrA0w/6vAXN7inwztBXM3vNYd5Yth+A0V1CeP7WJg5bVSkiIldn85h/165d81RyN5lMWCwW3nnnnTyPsERKtJg1RnmMDR8aSVDYAHhsKzQfeN1J0IcrD+UmQY+F11cSJCJSgtk8IvTOO+/QvXt3tm3bRlZWFk8//TR//vknZ8+eZf369faIUaToXDxvlMfYMd849gk0HoM1uuW6L221Wpn+20E+WmVM7p/UsyGP31T4SdYiImJ/NidCoaGh7Nq1i1mzZuHs7ExaWhr9+/dn7Nix1KhRwx4xFjvtI1RG7f8v/HcSpCYYx21HGhOiPa5//pfVauWNZfv4dG0MAM/f2piHuta77uuKiIh92TxZujyxZbKVlGAXEi+Vx1hsHPvVu1Qeo1ORXN5isfLyz3/yxcZjALxyR1OGdaxTJNcWERHb2XWyNMC5c+f47LPP2LdvHyaTiSZNmjBixAj8/PwKFbCIXVit8MdCozxGxvlL5TEeh+7PFqo8Rn7MFiuTF+9m4dY4TCZ4465m3Ns+qEiuLSIi9mfzZOnVq1cTEhLCBx98wLlz5zh79iwffPABISEhrF692h4xitju3DH4sj8sGWMkQdWbwej/Qc9XiiwJyjFbeOq7P1i4NQ4nE0wb0EJJkIhIKWPzo7GwsDA6duyYO0cIwGw28+ijj7J+/Xr27Nljl0CLk/YRKsUsZtjyKaycAtlpRnmM7s8aI0HOrkXWTbbZwoSFUfx3dwLOTiZmDGpJ3xaBRXZ9EREpPFsejdmcCHl6ehIVFUWjRo3ytB84cICWLVvm1h4rCzRHqJRJ3A8/PQbHL9WIC+oId3xwXeUx8pOZY+axr3eyYu8pXJ1NfHRfa3o3rV6kfYiISOHZdY5Q69at2bdv3xWJ0L59+2jZsqWtlxO5fjlZsH4GrHnnUnkMH+MRWJsR11UeIz8Z2WYeXrCd1QdP4+bixCcPtCG8cUCR9iEiIsWnQInQrl27cr8eN24c48ePJzo6mhtvvBGATZs2ERERwZtvvmmfKEWu5sR2+M/jkGiUsqBBb7j9XfCtVeRdpWflMGr+NjYcTsLD1YnPhrWjU33/Iu9HRESKT4EejTk5OWEymfi3U00mU5nae0ePxkqwrHRY9TpsmmnsDO1VBfq8DWF3X/fO0PlJzcjmwXlb2Xr0HBXcnJk7oj3tQ7RKUkSkJCryR2MxMTFFEphIkTiyGn4eB+eOGsfN7oFb3oQK9hmdSU7PZujcLfwRdx4fDxfmP9ie1kGV7dKXiIgUrwIlQsHBwfaOo0TRztIl1MXz8Nv/wc4FxnHFmkZ5jIa97dblubQsHvhsM3/Gp1DJy5UvR95AWE0V4hURKSsKtbP0iRMnWL9+PYmJiVgsljyvjRs3rsiCczQ9GitB9v0M/30SLpw0jtuNgpteKpLyGFdzOjWTB+Zs5sCpVKpUcOOr0TfQuLq+D0RESjq7rhqbO3cuY8aMwc3NjSpVquSpqm0ymcpUIiQlgMUCPz8OO780jqvUN8pjBHe0a7cnkzO4b84mjpxOI8DHna9H30D9AB+79ikiIsXP5kToxRdf5MUXX+S5557DqYiXJovkYbUaNcJ2fmmUx+g0Hro9A64edu32+Ll07p+zmWNJ6QT6evD16Bup41/Brn2KiIhj2JwIpaenM3jwYCVBYn+r34atnwIm6D8bmg2we5fHktK479PNnDh/kSA/L74adQO1/bzs3q+IiDiGzdnMyJEj+e677+wRi8hfts6ByDeMr/u8XSxJ0OHTFxj4yUZOnL9IXf8KLHr4RiVBIiJlnM2Tpc1mM7fffjsXL16kWbNmuLrmrd/07rvvFmmAjqTJ0g6y50f4/kHAajwKC3/e7l0eOJnK/XM2c+ZCJg2refPlqBsI8LHvIzgREbEPu06WfuONN1i+fHluiY1/TpYuC7R83oGiV8KPDwFWY2VY9+fs3uWeE8kM+Wwz59KzCa1RkS9H3YBfBTe79ysiIo5n84hQ5cqVee+99xg+fLidQio5NCJUzI5vg/l3GFXjm/aHu+eAk7Ndu4yKO8/QzzaTkpFDi1q+fPHgDfh6FV2VehERKX52HRFyd3enU6dOhQ5OJF+nD8BXA4wkqG443PWJ3ZOgrUfPMmLuVi5k5tA2uDJzR7TDx0NJkIhIeWLzZOnx48fz4Ycf2iMWKa/Ox8GCu+DiOajZBgZ9CS72fTS1IfoMQz/bwoXMHG6s68f8B9srCRIRKYdsHhHasmUL//vf/1i6dClNmza9YrL0jz/+WGTBSTmQlmQkQSknwL8h3PcduHvbtcvVB0/z0BfbyMyx0KWBP7OHtMXTzb6jTyIiUjLZnAhVqlSJ/v372yMWKW8yU43HYUmHjLphQxZDhSp27XLF3lOM/WoHWWYLNzcJ4KP7WuPhqiRIRKS8KlSJDZHrlpMJix6A+B3g6WckQb617Nrlst0JjPtmJzkWK33CqvP+4Fa4uWhjUBGR8szmREjkulnMsPhhOBIJrhXg/u+haiO7drlk5wkmfhuFxQp3tgxk+j0tcHFWEiQiUt7ZnAiFhIRcc7+gI0eOXFdAJYH2EbIjqxWWPQV/LgYnVxj8JdRqY9cuv90axzM/7sJqhYFtazG1f3OcncrGnlciInJ9bE6EJkyYkOc4OzubnTt38uuvv/LUU08VVVwONXbsWMaOHZu7D4EUocipsO0zcuuH1eth1+4WbDzKC//5E4AHbgxiyh1hOCkJEhGRS2xOhMaPH59ve0REBNu2bbvugKQM2/wJrH7L+Pq2aRBm30n3c9Ye4bX/7gNgZOcQ/u+2JmVm93MRESkaRTZJok+fPvzwww9FdTkpa3Z/D788bXzd/XmjfIYdRayKzk2CHu1eT0mQiIjkq8gmS3///ff4+fkV1eWkLDn0uzE5GqD9Q9Dtabt1ZbVaeW/FQT74XzQAE3s25PEe9ZUEiYhIvmxOhFq1apXnl4rVauXkyZOcPn2amTNnFmlwUgbEbYFvh4AlB8IGwC1vgZ2SEqvVypu/7OeTNcaE/Wf7NGZMt3p26UtERMoGmxOhfv365Tl2cnKiatWqdO/encaNGxdVXFIWJO6Dr+6B7HSodxP0mwVO9lmybrVaeeXnvczbcBSAl/qGMqJTiF36EhGRssPm6vPliarPX4fzsfBZb0iNh5ptYdhP4FbBLl1ZLFYmL9nDN1tiMZng9X7NuO+GILv0JSIiJZ9dq8+L/Ku0M0b9sNR48G8E939ntyTIbLHy9Pe7+GHHcZxM8PaAFgxoY98dqkVEpOwocCLk5OT0rxNOTSYTOTk51x2UlGK59cOiwbe2UTrDyz6T6LPNFiZ++wc//xGPs5OJ9wa15I4WgXbpS0REyqYCJ0KLFy++6msbNmzgww8/RE/ZyrmcTFh4H8TvBK8ql+qH1bRLV5k5ZsZ9s5Plf57C1dnEh/e25paw6nbpS0REyq4CJ0J33nnnFW379+/nueee4+eff+b+++/n1VdfLdLgpBSxmOGHURCzBty8jfph/g3s0lVGtplHvtzOqgOncXNx4uMHWtOjcTW79CUiImVboZbwxMfHM3r0aJo3b05OTg5RUVHMnz+foCBNUC2XrFb470TY9xM4u8Hgr6Bma7t0lZ6Vw6j521h14DQerk58PqydkiARESk0mxKh5ORknnnmGerXr8+ff/7JypUr+fnnnwkLC7NXfA4RERFBaGgo7dq1c3QopcP/XoPt8zDqh30KdbvbpZsLmTkMn7uVddFnqODmzPwR7encwN8ufYmISPlQ4OXzb7/9Nm+99RbVq1fnjTfeyPdRWVmj5fMFsGkW/Pqs8fXtM6DtCLt0k3wxm+Fzt7Az9jw+7i7Me7A9bYIr26UvEREp3Wz5/V3gRMjJyQlPT09uvvlmnJ2dr3rejz/+aFu0JZgSoX+x61v4cbTxdY//g65P2aWbc2lZDPl8M3tOpODr6cqCke1pXquSXfoSEZHSzy77CA0dOlT1muQvh1bAkkeMr294BLo8aZdusnIsDJ+3lT0nUqhSwY0FI28gNFBJqYiIFI0CJ0Lz5s2zYxhSqsRuhkWX6oc1Gwi937Bb/bD3fj/IH3HnqeTlysKHbqRBNR+79CMiIuWTfQo/Sdl1ai98fQ/kXIT6PaHfTLvVD9t4OImPVx8G4M3+zZUEiYhIkVMiJAV37hh82R8ykqFWexg4H5xd7dJVcno2E7+NwmqFwe1qa7NEERGxCyVCUjAXTsOCfpCaAFWbwH2L7FY/zGq18vzi3SQkZxDiX4EXbg+1Sz8iIiJKhOTfZaQYI0Fnj4BvEAz50W71wwB+2HGC/+5OwMXJxIxBLangrtrAIiJiH0qE5NqyM4z6YSd3gZc/DF0CFe1X2PRYUhov/WcPAE/0bEiL2pXs1peIiIgSIbk6ixl+GAlH14KbDzzwA1SpZ7fuss0Wxi+MIi3LTPsQP8Z0s19fIiIioERIrsZqhaUTYP9So37YvV9DYEu7dvnh/6KJijuPj4cL7w1qibOT9q0SERH7UiIk+Vs5BXZ8ASYnuPszCOlq1+62HT3LR/87BMAbdzWjZiVPu/YnIiICSoQkPxsjYN27xte3vwehd9i1u5SMbCYsisJihf6ta9K3hf3mIImIiPydEiHJK+obWP688fVNL0Kb4Xbv8qX//Mnxcxep7efJK3c0tXt/IiIil5X5RGjp0qU0atSIBg0aMGfOHEeHU7Id+BX+M9b4+sax0Hmi3bv8T9QJFu88gbOTiRmDWuHjYZ8NGkVERPJTpjdoycnJYeLEiaxatYqKFSvSunVr+vfvj5+f/fbAKbWObYTvhoHVDM0HQ6/X7FY/7LK4s+n832JjqfzjPerTJriyXfsTERH5pzI9IrRlyxaaNm1KzZo18fHx4dZbb2X58uWODqvkObkHvh4EORnQoDfc+ZHd6oddZrZYmfhtFKmZObQOqsRj4fXt2p+IiEh+SnQitGbNGvr27UtgYCAmk4klS5Zccc7MmTMJCQnBw8ODNm3asHbt2tzX4uPjqVmzZu5xrVq1OHHiRHGEXnqcO2rsGp2ZDEEd4J55dqsf9nezIqPZevQc3u4uzBjUChfnEv2tKCIiZVSJ/u2TlpZGixYt+Oijj/J9fdGiRUyYMIHJkyezc+dOunTpQp8+fYiNjQWMmlX/ZLLz455S5UIifNEPLpyCgKZw70Jw87J7t1Fx53nvd2Op/JQ7mxJUxf59ioiI5KdEzxHq06cPffr0uerr7777LiNHjmTUqFEAzJgxg+XLlzNr1iymTp1KzZo184wAHT9+nBtuuOGq18vMzCQzMzP3OCUlpQg+RQmVkWyMBJ2LgUrBRv0wz0p27zYtM4fxC3ditljp2yKQu1rV/Pc3iYiI2EmJHhG6lqysLLZv306vXr3ytPfq1YsNGzYA0L59e/bs2cOJEydITU1l2bJl9O7d+6rXnDp1Kr6+vrl/ateubdfP4DDZGfDNfXByN1SoCkMWg0/1Yun6lZ//5FhSOjUrefJavzCN0ImIiEOV2kTozJkzmM1mqlWrlqe9WrVqnDx5EgAXFxemT59OeHg4rVq14qmnnqJKlSpXveZzzz1HcnJy7p+4uDi7fgaHMOfA9w/CsXXgXtHu9cP+btnuBL7ddhyTCd4d2AJfTy2VFxERxyrRj8YK4p8jClarNU/bHXfcwR13FGxnZHd3d9zd3Ys0vhLFaoWl4+HAf8HZHe79Bmq0KJauE5Iv8tyPuwF4tHs9bqh79YRURESkuJTaESF/f3+cnZ1zR38uS0xMvGKUyFYRERGEhobSrl2767pOifP7S7DzS6N+2IDPoU7nYunWYrEycdEfJF/MpnktXybc3LBY+hUREfk3pTYRcnNzo02bNqxYsSJP+4oVK+jYseN1XXvs2LHs3buXrVu3Xtd1SpT1H8D6942v+34ATW4vtq4/XXuEjUeS8HR15v3BrXDVUnkRESkhSvSjsQsXLhAdHZ17HBMTQ1RUFH5+fgQFBTFx4kSGDBlC27Zt6dChA7NnzyY2NpYxY8Y4MOoSaOdXsOIF4+ubX4HWQ4qt6z0nkpn22wEAXr4jlBD/CsXWt4iIyL8p0YnQtm3bCA8Pzz2eONGofTVs2DDmzZvHoEGDSEpKYsqUKSQkJBAWFsayZcsIDg52VMglz/5l8NPjxtcdH4fOE4qt64tZZsYt3Em22cotTaszsG0ZXYUnIiKllsma366D5VxERAQRERGYzWYOHjxIcnIyFStWdHRYtju63tgrKCcDWt4Pd0bYvX7Y301evJuvNsdSraI7v47vSuUKbsXWt4iIlF8pKSn4+voW6Pe3EqFrsOVGljgnd8PcWyEzBRrdCgMXgHPxDQCu2HuK0V9sA+CrUTfQqb5/sfUtIiLlmy2/vzVrtSw6ewQW9DeSoKCOxgqxYkyCElMyeOaHXQA81LWukiARESmxlAiVNaknYcFdkJYI1ZoZewW5ehZb9xaLlUnf/cHZtCxCa1RkUi8tlRcRkZJLiVA+Su0+QhfPw5d3GxXlK9cxdo0uhvphfzdvw1HWHjqDu4sTH9zbEncX52LtX0RExBaaI3QNpWqOUPZF43FY7AaoEAAjl4Nf3WINYV9CCnd+tJ4ss4VX+4Ux5Eat3hMRkeKnOULljTkHvhthJEHuvkYl+WJOgjKyzUxYGEWW2cJNjQN44IagYu1fRESkMJQIlXZWq7FP0MFfwMUD7lsI1ZsVexhv/rKfA6dS8fd2560BzVVVXkRESgUlQqXdihfgj6/B5Az3zIPg6ysvUhirDiQyb8NRAKbd0xx/7zJcuFZERMoUJUL5KDWTpdfNgA0fGl/f+RE06lPsIZy5kMlT3xlL5Yd3rEP3RgHFHoOIiEhhabL0NZToydI7FsBPjxlf93rNKJ9RzKxWK6Pmb2Pl/kQaVfPhP491wsNVq8RERMSxNFm6rNu3FH4eZ3zdaYJDkiCALzfHsnJ/Im4uTrx/b0slQSIiUuooESptYtbC9w+C1QKtHoCbX3ZIGNGJqby2dC8Az97SmMbVS9iImYiISAEoESpNEv6Ab+4FcyY0vh1uf79Yi6helpljZtw3UWTmWOjasCrDO9Yp9hhERESKghKhfJTIydJJh41do7NSIbgz3P1ZsdYP+7vpvx1kb0IKfhXcmDagOU5OWiovIiKlkyZLX0OJmSydkgCf94LzscYeQcP/Cx6+Dgll3aEzPPDZZgA+HdqWnqHVHBKHiIjI1WiydFly8Rx82d9IgvzqwgM/OiwJOpeWxaTvogC4/4YgJUEiIlLqKREqybLS4evBkLgXvKvDkMXg7Zh9eqxWK8/+uItTKZnUrVqB/7st1CFxiIiIFCUlQiWVORu+Gw5xm4wRoCE/GhXlHeTbbXEs//MUrs4mPhjcCk83LZUXEZHST4lQSWSxwH8eg0PLwcUT7vsWqjV1WDhHTl/g5Z+MpfJP9mpEWE3HPJoTEREpakqEShqrFX77P9i10KgfNnA+BN3osHCyzRYmLIriYraZjvWqMLpL8Va1FxERsSclQvlw6PL5de/Cpgjj634zoWHv4o/hb2b8fpBdx5Px9XRl+sAWWiovIiJlipbPX0OxL5/fPg9+Hm983fsN6DDW/n1ew+YjSQz+dBNWK8y6vzV9mtVwaDwiIiIFoeXzpdHen2DpE8bXnSc6PAlKvpjNE4uisFphYNtaSoJERKRMUiJUEsSsgR9GGvXDWg+Dm150aDhWq5XJi3cTn5xBnSpevNTXcRO1RURE7EmJkKPFR8E394E5C5r0hdvfc0j9sL9bvPMES3cl4OxkYsbgVlRwd0wpDxEREXtTIuRIZ6L/qh9Wpwv0nwNOjt2fJzYpnRf/8ycAT9zcgJa1Kzk0HhEREXtSIuQoKfGw4C5IPwM1WsDgr8HVw6Eh5ZgtTFi0kwuZObSrU5lHutd3aDwiIiL2pkTIEdLPwoL+kBwLVerD/T+AhwOLul7y0apodsSex8fdhfcGtcRZS+VFRKSMUyLkCBfPQWYK+NS4VD+sqqMjYvuxs3yw8hAAr90VRq3KXg6OSERExP40CzYfERERREREYDab7dNBlXow8jfIvACVguzThw1SM7KZsCgKixXualWTO1vWdHRIIiIixUIbKl5DsW+o6CATv43ixx0nqFXZk2Xju1DRw9XRIYmIiBSaNlSUAvvpj3h+3HECJxPMGNRSSZCIiJQrSoTKsRPnLzJ58W4AHuvRgLZ1/BwckYiISPFSIlROmS1WnlgURWpGDq2CKjGuh5bKi4hI+aNEqJz6ePVhtsScpYKbMzMGtcTFWd8KIiJS/ui3Xzn0R9x53ltxEIBX7gwjuEoFB0ckIiLiGEqEypm0zBwmLIoix2LltuY1uLu1lsqLiEj5pUSonHl16V5izqRRw9eDN/o1w+TgAq8iIiKOpESoHPl1TwILt8ZhMsG7A1vi66Wl8iIiUr4pESonTiZn8OyPxlL5Md3q0aFeFQdHJCIi4nhKhMoBi8XKpO+iOJ+eTbOavjxxc0NHhyQiIlIiKBHKR0REBKGhobRr187RoRSJz9bFsD46CU9XZ2YMbombi/7aRUREQLXGrqks1Br7Mz6ZfhHryTZbmdq/Gfe2d3yRVxEREXtSrTEB4GKWmfELo8g2W+kVWo3B7Wo7OiQREZESRYlQGfbGsn1EJ14gwMedN+9urqXyIiIi/6BEqIxaue8UCzYdA2D6wBb4VXBzcEQiIiIljxKhMigxNYOnv98FwKjOIXRpUNXBEYmIiJRMSoTKGKvVylPf7SIpLYvG1X146pZGjg5JRESkxFIiVMbM33CU1QdP4+7ixAf3tsLdxdnRIYmIiJRYSoTKkAMnU3njl/0ATL6tCQ2r+Tg4IhERkZJNiVAZkZFtZvzCnWTlWAhvVJUhNwY7OiQREZEST4lQGfH2rwfYfzIVf2833h7QQkvlRURECkCJUBmw+uBpPl8fA8A7A1pQ1cfdwRGJiIiUDkqESrmkC5k8+d0fAAzrEEx44wAHRyQiIlJ6KBEqxaxWK8/8sJvTqZk0CPDmuVubODokERGRUkWJUCn29ZZYft93CjdnJ94f3AoPVy2VFxERsUW5SITuuusuKleuzIABAxwdSpGJTrzAq0v3AvD0LY0IDbx2dV0RERG5UrlIhMaNG8cXX3zh6DCKTFaOhfELd5KRbaFLA38e7BTi6JBERERKpXKRCIWHh+PjU3Y2F5y+4gB/xqdQ2cuVafe0wMlJS+VFREQKw+GJ0Jo1a+jbty+BgYGYTCaWLFlyxTkzZ84kJCQEDw8P2rRpw9q1a4s/0BJiQ/QZZq85AsCbdzenWkUPB0ckIiJSejk8EUpLS6NFixZ89NFH+b6+aNEiJkyYwOTJk9m5cyddunShT58+xMbG5p7Tpk0bwsLCrvgTHx9fXB+jWJxPz2Lit39gtcK97YPo3bS6o0MSEREp1VwcHUCfPn3o06fPVV9/9913GTlyJKNGjQJgxowZLF++nFmzZjF16lQAtm/fXiSxZGZmkpmZmXuckpJSJNctClarled+3M3JlAzq+lfghdu1VF5EROR6OXxE6FqysrLYvn07vXr1ytPeq1cvNmzYUOT9TZ06FV9f39w/tWvXLvI+Cuu77cf5Zc9JXJxMvD+4FV5uDs9hRURESr0SnQidOXMGs9lMtWrV8rRXq1aNkydPFvg6vXv35p577mHZsmXUqlWLrVu35nvec889R3Jycu6fuLi464q/qMScSePln/4EYFKvRjSr5evgiERERMqGUjGs8M8Colar1aaiosuXLy/Qee7u7ri7l6w6XdlmCxMW7iQ9y8yNdf14qGtdR4ckIiJSZpToESF/f3+cnZ2vGP1JTEy8YpSoKEVERBAaGkq7du3s1kdBvf/7If44nkxFDxfeHdgSZy2VFxERKTIlOhFyc3OjTZs2rFixIk/7ihUr6Nixo936HTt2LHv37r3qI7TisvlIEhGR0QBM7d+cwEqeDo1HRESkrHH4o7ELFy4QHR2dexwTE0NUVBR+fn4EBQUxceJEhgwZQtu2benQoQOzZ88mNjaWMWPGODBq+0u+mJ27VH5Am1rc1ryGo0MSEREpcxyeCG3bto3w8PDc44kTJwIwbNgw5s2bx6BBg0hKSmLKlCkkJCQQFhbGsmXLCA4OdlTIdme1Wvm/JXs4cf4iQX5evHxHU0eHJCIiUiaZrFar1dFBlDQRERFERERgNps5ePAgycnJVKxYfEVNF+88zhOL/sDZycR3YzrQOqhysfUtIiJS2qWkpODr61ug399KhK7BlhtZVOLOptPn/bVcyMxhYs+GjLupQbH0KyIiUlbY8vu7RE+WLm9yzBYmLIriQmYObYMr82j3eo4OSUREpExTIlSCRKw6zPZj5/Bxd+G9QS1xcdZfj4iIiD3pN20+HLGP0PZj5/jgf4cAeLVfGLX9vIqtbxERkfJKc4SuobjmCKVmZHPrB2uJO3uRO1sG8v7gVnbrS0REpKzTHKFS5uWf9hJ39iI1K3ky5c4wR4cjIiJSbigRcrCf/4jnhx3HcTLBe4Na4uvp6uiQREREyg0lQg504vxFJi/eDcDY8Pq0D/FzcEQiIiLlixKhfBTHZGmzxcrERVGkZOTQonYl7RckIiLiAJosfQ32nCw9MzKat389gJebM8vGdaGOf4Uivb6IiEh5pcnSJdze+BTe/e0gAC/f0VRJkIiIiIM4vOhqeVQ/wJuRXUI4fu4i97Sp5ehwREREyi0lQg7g5uLEc32aYLFYMZlMjg5HRESk3NKjsXwU187STk5KgkRERBxJk6WvwRHV50VEROT6aLK0iIiISAEoERIREZFyS4mQiIiIlFtKhERERKTcUiIkIiIi5ZYSoXwU1/J5ERERcSwtn78GLZ8XEREpfbR8XkRERKQAlAiJiIhIuaVESERERMotJUIiIiJSbqn6/DVcnkeekpLi4EhERESkoC7/3i7IejAlQteQmpoKQO3atR0ciYiIiNgqNTUVX1/fa56j5fPXYLFYiI+Px8fHB5PJlOe1du3asXXrVpvbLh+npKRQu3Zt4uLi7LI0P79YiuI9/3ZOQe9Lfu26V1dvL+v36t/O070q+Hn2uFeAXe+X7lXBFeZeFfR99rpX/2wrjntltVpJTU0lMDAQJ6drzwLSiNA1ODk5UatWrXxfc3Z2vuIvrSBt/zyuWLGiXX4I5xdLUbzn384p6H3Jr1336urtZf1e/dt5ulcFP8+e9wrsc790rwquMPeqoO+z1736Z1tx3at/Gwm6TJOlC2ns2LGFasvvHHsoTD8Fec+/nVPQ+5Jfu+7V1dvL+r36t/N0rwp+nu5Vwc8rL/eqoO+z1736Z1tx3auC0qMxB9Gu1QWne1VwulcFp3tlG92vgtO9KriScK80IuQg7u7uvPTSS7i7uzs6lBJP96rgdK8KTvfKNrpfBad7VXAl4V5pREhERETKLY0IiYiISLmlREhERETKLSVCIiIiUm4pERIREZFyS4mQiIiIlFtKhEq4uLg4unfvTmhoKM2bN+e7775zdEgl3l133UXlypUZMGCAo0MpcZYuXUqjRo1o0KABc+bMcXQ4JZq+jwpGP6MKLjU1lXbt2tGyZUuaNWvGp59+6uiQSrz09HSCg4N58skn7daHls+XcAkJCZw6dYqWLVuSmJhI69atOXDgABUqVHB0aCXWqlWruHDhAvPnz+f77793dDglRk5ODqGhoaxatYqKFSvSunVrNm/ejJ+fn6NDK5H0fVQw+hlVcGazmczMTLy8vEhPTycsLIytW7dSpUoVR4dWYk2ePJlDhw4RFBTEtGnT7NKHRoRKuBo1atCyZUsAAgIC8PPz4+zZs44NqoQLDw/Hx8fH0WGUOFu2bKFp06bUrFkTHx8fbr31VpYvX+7osEosfR8VjH5GFZyzszNeXl4AZGRkYDab0VjE1R06dIj9+/dz66232rUfJULXac2aNfTt25fAwEBMJhNLliy54pyZM2cSEhKCh4cHbdq0Ye3atYXqa9u2bVgsFmrXrn2dUTtOcd6vsuZ67118fDw1a9bMPa5VqxYnTpwojtCLnb7PCq4o71VZ+Bl1LUVxr86fP0+LFi2oVasWTz/9NP7+/sUUffEqinv15JNPMnXqVLvHqkToOqWlpdGiRQs++uijfF9ftGgREyZMYPLkyezcuZMuXbrQp08fYmNjc89p06YNYWFhV/yJj4/PPScpKYmhQ4cye/Zsu38meyqu+1UWXe+9y+9/niaTya4xO0pRfJ+VF0V1r8rKz6hrKYp7ValSJf744w9iYmL4+uuvOXXqVHGFX6yu91795z//oWHDhjRs2ND+wVqlyADWxYsX52lr3769dcyYMXnaGjdubH322WcLfN2MjAxrly5drF988UVRhFli2Ot+Wa1W66pVq6x333339YZYYhXm3q1fv97ar1+/3NfGjRtn/eqrr+weq6Ndz/dZWf8++qfC3quy+jPqWori59eYMWOs3377rb1CLDEKc6+effZZa61atazBwcHWKlWqWCtWrGh95ZVX7BKfRoTsKCsri+3bt9OrV6887b169WLDhg0FuobVamX48OH06NGDIUOG2CPMEqMo7ld5VZB71759e/bs2cOJEydITU1l2bJl9O7d2xHhOpS+zwquIPeqPP2MupaC3KtTp06RkpICGFXX16xZQ6NGjYo9VkcryL2aOnUqcXFxHD16lGnTpjF69GhefPFFu8TjYperCgBnzpzBbDZTrVq1PO3VqlXj5MmTBbrG+vXrWbRoEc2bN899xrpgwQKaNWtW1OE6XFHcL4DevXuzY8cO0tLSqFWrFosXL6Zdu3ZFHW6JUpB75+LiwvTp0wkPD8disfD000+Xy9UqBf0+K4/fR/9UkHtVnn5GXUtB7tXx48cZOXIkVqsVq9XKY489RvPmzR0RrkMV1c/6oqJEqBj8cx6G1Wot8NyMzp07Y7FY7BFWiXU99wso1yuh/u3e3XHHHdxxxx3FHVaJ9G/3qjx/H/3Tte5VefwZdS3Xuldt2rQhKirKAVGVTAX9WT98+HC7xqFHY3bk7++Ps7PzFRluYmLiFZmw6H5dD927gtO9Kjjdq4LTvSq4knavlAjZkZubG23atGHFihV52lesWEHHjh0dFFXJpftVeLp3Bad7VXC6VwWne1VwJe1e6dHYdbpw4QLR0dG5xzExMURFReHn50dQUBATJ05kyJAhtG3blg4dOjB79mxiY2MZM2aMA6N2HN2vwtO9Kzjdq4LTvSo43auCK1X3yi5r0cqRVatWWYEr/gwbNiz3nIiICGtwcLDVzc3N2rp1a+vq1asdF7CD6X4Vnu5dweleFZzuVcHpXhVcabpXqjUmIiIi5ZbmCImIiEi5pURIREREyi0lQiIiIlJuKRESERGRckuJkIiIiJRbSoRERESk3FIiJCIiIuWWEiEREREpt5QIiYiISLmlREhERETKLSVCIiKXdO/eHZPJhMlkIioqqtj6HT58eG6/S5YsKbZ+RUSJkIgUs8u/9POrMv3oo49iMpkYPnx48Qd2yejRo0lISCAsLAwonnjff/99EhISrusaIlI4SoREpNjVrl2bhQsXcvHixdy2jIwMvvnmG4KCghwYGXh5eVG9enVcXFxy2+wdr6+vL9WrV7/u64iI7ZQIiUixa926NUFBQfz444+5bT/++CO1a9emVatWuW2//vornTt3plKlSlSpUoXbb7+dw4cP57nW999/T7NmzfD09KRKlSrcfPPNpKWl/etr9ohXREofJUIi4hAjRoxg7ty5uceff/45Dz74YJ5z0tLSmDhxIlu3bmXlypU4OTlx1113YbFYAEhISODee+/lwQcfZN++fURGRtK/f3+sVus1X7NXvCJS+rj8+ykiIkVvyJAhPPfccxw9ehSTycT69etZuHAhkZGRuefcfffded7z2WefERAQwN69ewkLCyMhIYGcnBz69+9PcHAwAM2aNQPg4MGDV33NXvGKSOmjREhEHMLf35/bbruN+fPnY7Vaue222/D3989zzuHDh3nhhRfYtGkTZ86cyR0Jio2NJSwsjBYtWnDTTTfRrFkzevfuTa9evRgwYACVK1e+5mv2ildESh89GhMRh3nwwQeZN28e8+fPz/cxU9++fUlKSuLTTz9l8+bNbN68GYCsrCwAnJ2dWbFiBb/88guhoaF8+OGHNGrUiJiYmGu+Zq94/y49PZ2nnnqKjh070rFjR0aPHk1SUlKh+xYR+1AiJCIOc8stt5CVlUVWVha9e/fO81pSUhL79u3j//7v/7jpppto0qQJ586du+IaJpOJTp068corr7Bz507c3NxYvHjxv75W1PH+02OPPUaLFi2YNGkSAwYMYPDgwQwdOrTQc5RExD70aExEHMbZ2Zl9+/blfv13lStXpkqVKsyePZsaNWoQGxvLs88+m+eczZs3s3LlSnr16kVAQACbN2/m9OnTNGnS5Jqv2SPev7t48SInT57kzTffJDk5mezsbPz9/QkJCSE6OpoGDRoUOgYRKVpKhETEoSpWrJhvu5OTEwsXLmTcuHGEhYXRqFEjPvjgA7p3757nvWvWrGHGjBmkpKQQHBzM9OnT6dOnD/v27bvqa/aI9++sVivu7u7s2bOHhQsXcvToUZ599lnGjRt3XX2LSNEzWTVOKyICGCU2WrZsyYwZM677WsOHD6dnz574+/sTHx9PUFAQ06ZNY9myZZhMpnzfYzKZWLx4Mf369bvu/kWkYDRHSETkb2bOnIm3tze7d+++7uts376dF198kU8++YQvv/ySL7/8Mt8kaMyYMXh7e19XfyJSOBoREhG55MSJE7llNIKCgnBzcyuWfhMTE0lJSQGgRo0aVKhQoVj6FRElQiIiIlKO6dGYiIiIlFtKhERERKTcUiIkIiIi5ZYSIRERESm3lAiJiIhIuaVESERERMotJUIiIiJSbikREhERkXJLiZCIiIiUW0qEREREpNz6f79fAFe8OYlaAAAAAElFTkSuQmCC", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.loglog(mass_arr/3e-6, result_arr, label='Our Log-Uniform')\n", + "plt.loglog(mass_arr/3e-6, johnson_logn_new, label='Johnson Log-Uniform')\n", + "plt.legend()\n", + "plt.xlabel('Mass [M$_\\oplus$]')\n", + "plt.ylabel('Number of Events')\n" + ] + }, + { + "cell_type": "code", + "execution_count": 116, + "metadata": {}, + "outputs": [], "source": [ "#Test that the mass function is normalized correctly\n", "test_close(abs(nquad(f.mass_func,[[np.log10(f.m_min), np.log10(f.m_max)]], opts={'points': [f.m_min, f.m_min*1e3, f.m_min*1e5]})[0]), 1, eps=1e-3)" @@ -334,7 +971,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 117, "metadata": {}, "outputs": [], "source": [ diff --git a/nbs/04_utils.ipynb b/nbs/04_utils.ipynb index 170dd92..83d152b 100644 --- a/nbs/04_utils.ipynb +++ b/nbs/04_utils.ipynb @@ -31,7 +31,7 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ @@ -53,7 +53,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 3, "metadata": {}, "outputs": [], "source": [ @@ -210,7 +210,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 11, "metadata": {}, "outputs": [], "source": [ @@ -397,7 +397,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 39, "metadata": {}, "outputs": [], "source": [ @@ -409,7 +409,7 @@ "def u_t_finite_new(rho, A_thresh=1.34):\n", " func = lambda u: magnification_finite_new(u,rho) - A_thresh\n", " u_min = 0\n", - " u_max = 10\n", + " u_max = 15\n", "\n", " try:\n", " return brentq(func, u_min, u_max)\n", @@ -419,7 +419,7 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 51, "metadata": {}, "outputs": [], "source": [ @@ -427,28 +427,28 @@ "#Ratio of angular extent of source and lens in plane of lens\n", "# rho == theta_s/theta_l\n", "rho_min = 0.1\n", - "rho_max = 4.5\n", - "# rho_max = 10.1\n", + "# rho_max = 4.5\n", + "rho_max = 14.2\n", "\n", - "# rhos = np.linspace(rho_min, rho_max, 100)\n", - "rhos = np.linspace(rho_min, rho_max, 40)\n", + "rhos = np.linspace(rho_min, rho_max, 300)\n", + "# rhos = np.linspace(rho_min, rho_max, 40)\n", "\n", "\n", "A_thresh_min = 1.01\n", "A_thresh_max = 1.34\n", - "A_threshs = np.linspace(A_thresh_min, A_thresh_max, 20)\n" + "A_threshs = np.linspace(A_thresh_min, A_thresh_max, 40)\n" ] }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 52, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ - "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_79403/3744683341.py:11: DeprecationWarning: `interp2d` is deprecated!\n", + "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_70250/3744683341.py:11: DeprecationWarning: `interp2d` is deprecated!\n", "`interp2d` is deprecated in SciPy 1.10 and will be removed in SciPy 1.13.0.\n", "\n", "For legacy code, nearly bug-for-bug compatible replacements are\n", @@ -485,7 +485,7 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 53, "metadata": {}, "outputs": [], "source": [ @@ -501,14 +501,14 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 54, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ - "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_79403/99039085.py:1: DeprecationWarning: `interp2d` is deprecated!\n", + "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_70250/2914777924.py:1: DeprecationWarning: `interp2d` is deprecated!\n", " `interp2d` is deprecated in SciPy 1.10 and will be removed in SciPy 1.13.0.\n", "\n", " For legacy code, nearly bug-for-bug compatible replacements are\n", @@ -523,7 +523,7 @@ " `https://scipy.github.io/devdocs/notebooks/interp_transition_guide.html`\n", "\n", " plt.plot(rhos, ut_interp_rho(rhos, 1.34))\n", - "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_79403/99039085.py:2: DeprecationWarning: `interp2d` is deprecated!\n", + "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_70250/2914777924.py:2: DeprecationWarning: `interp2d` is deprecated!\n", " `interp2d` is deprecated in SciPy 1.10 and will be removed in SciPy 1.13.0.\n", "\n", " For legacy code, nearly bug-for-bug compatible replacements are\n", @@ -537,12 +537,12 @@ " For more details see\n", " `https://scipy.github.io/devdocs/notebooks/interp_transition_guide.html`\n", "\n", - " plt.plot(rhos, ut_interp_rho(rhos, 1.1))\n" + " plt.plot(rhos, ut_interp_rho(rhos, 1.01))\n" ] }, { "data": { - "image/png": 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", + "image/png": 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", "text/plain": [ "
" ] @@ -553,7 +553,7 @@ ], "source": [ "plt.plot(rhos, ut_interp_rho(rhos, 1.34))\n", - "plt.plot(rhos, ut_interp_rho(rhos, 1.1))\n", + "plt.plot(rhos, ut_interp_rho(rhos, 1.01))\n", "\n", "plt.xlabel(r'$\\rho$')\n", "plt.ylabel(r'$u_t$')\n", diff --git a/nbs/08_galaxy.ipynb b/nbs/08_galaxy.ipynb index 9c92fbc..8f3287c 100644 --- a/nbs/08_galaxy.ipynb +++ b/nbs/08_galaxy.ipynb @@ -31,7 +31,7 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": 9, "metadata": {}, "outputs": [], "source": [ @@ -50,7 +50,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 10, "metadata": {}, "outputs": [], "source": [ @@ -60,7 +60,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 11, "metadata": {}, "outputs": [], "source": [ @@ -95,7 +95,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 17, "metadata": {}, "outputs": [], "source": [ @@ -209,12 +209,19 @@ " return v_c\n", " \n", " def velocity_dispersion_dm(self, r, v_c: float = 220):\n", - " return v_c\n" + " return v_c\n", + " \n", + " def mass_dm(self, r):\n", + " c = r / rs\n", + " return 4 * np.pi * rhoc * rs**3 * (np.log(1 + c) - c / (1 + c))\n", + "\n", + " def velocity_dispersion_nfw(self, r):\n", + " return np.sqrt(G * self.mass_dm(r) / r)\n" ] }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 23, "metadata": {}, "outputs": [], "source": [ @@ -272,12 +279,20 @@ " return v_c\n", " \n", " def velocity_dispersion_dm(self, r, v_c: float = 250):\n", - " return v_c" + " return v_c\n", + " \n", + " def mass_dm(self, r):\n", + " c = r/rsM31\n", + " return 4 * np.pi * rhocM31 * rsM31**3 * (np.log(1 + c) - c / (1 + c))\n", + " \n", + " def velocity_dispersion_nfw(self, r):\n", + " return np.sqrt(G * self.mass_dm(r) / r)\n", + " " ] }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 24, "metadata": {}, "outputs": [], "source": [ @@ -285,6 +300,26 @@ "m31_model = M31Model(m31_parameters) " ] }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.041460100749342" + ] + }, + "execution_count": 25, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "mw_model.density_stars(0,1,1)*1e-9" + ] + }, { "cell_type": "code", "execution_count": 7, From 9269a570cacc42765d73828d31f1be4aa375e8a7 Mon Sep 17 00:00:00 2001 From: Nolan Smyth Date: Thu, 2 Nov 2023 11:31:35 -0700 Subject: [PATCH 05/17] Cleaning up PBH --- examples/expected_events_tess.ipynb | 385 -------- nbs/00_pbh.ipynb | 1397 ++------------------------- nbs/01_ffp.ipynb | 247 +---- nbs/09_lightcurves.ipynb | 603 ++++++++++++ 4 files changed, 667 insertions(+), 1965 deletions(-) create mode 100644 nbs/09_lightcurves.ipynb diff --git a/examples/expected_events_tess.ipynb b/examples/expected_events_tess.ipynb index d430a15..996c135 100644 --- a/examples/expected_events_tess.ipynb +++ b/examples/expected_events_tess.ipynb @@ -2382,391 +2382,6 @@ " \n", "plt.show()" ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Lightcurves" - ] - }, - { - "cell_type": "code", - "execution_count": 372, - "metadata": {}, - "outputs": [], - "source": [ - "import scipy.optimize as opt" - ] - }, - { - "cell_type": "code", - "execution_count": 375, - "metadata": {}, - "outputs": [], - "source": [ - "# Calculate deltab\n", - "deltab = f_func_finite(umin**2, rho)\n", - "\n", - "# Define the function for which we want to find the root\n", - "def objective_function(b, deltab, rho):\n", - " return f_func_finite(b, rho) - 0.5 * deltab\n", - "\n", - "root_result = opt.root_scalar(objective_function, args=(deltab, rho), bracket=[1e-3, 5], method='bisect')\n" - ] - }, - { - "cell_type": "code", - "execution_count": 379, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "2.529443717447655" - ] - }, - "execution_count": 379, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "root_result.root" - ] - }, - { - "cell_type": "code", - "execution_count": 377, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "0.22908386283730175" - ] - }, - "execution_count": 377, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "deltab" - ] - }, - { - "cell_type": "code", - "execution_count": 378, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "0.11450878609481174" - ] - }, - "execution_count": 378, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "f_func_finite(2.53, rho)" - ] - }, - { - "cell_type": "code", - "execution_count": 684, - "metadata": {}, - "outputs": [], - "source": [ - "def A_ps(u):\n", - " return (u**2 + 2) / (u * (u**2 + 4)**(1/2))\n", - "\n", - "def f_func(x):\n", - " return (2 + x)/(x*(4+x))**(0.5) - 1\n", - "\n", - "def f_func_finite(u, rho):\n", - " return A_gould(u, rho) - 1\n", - "\n", - "def t_fwhm_gondolo(t_e, umin):\n", - " deltab = f_func(umin**2)\n", - " bw2 = 2* f_func(deltab)\n", - " w_b = 2*(bw2 - umin**2)**(1/2)\n", - " return w_b * t_e\n", - "\n", - "def t_fwhm_gondolo_finite(t_e, umin, rho):\n", - "\n", - " func = lambda b: f_func_finite(b,rho) - f_func_finite(umin**2,rho)*0.5\n", - " bw = opt.fsolve(func,1)[0]\n", - " w_b = 2*(bw**2 - umin**2)**(1/2)\n", - " return w_b * t_e\n", - "\n", - "def theta_max(u, rho):\n", - " if u <= rho:\n", - " return np.pi/2\n", - " else:\n", - " return np.arcsin(rho/u)\n", - "\n", - "def ellip(phi, m):\n", - " return quad(lambda x: np.sqrt(1 - m**2*np.sin(x)**2), 0, phi)[0]\n", - "\n", - "def A_gould(u, rho):\n", - " return A_ps(u) * 4*u / (np.pi * rho) * ellip(theta_max(u, rho), u/rho)\n", - "\n", - "def u_func(umin, t, t_e):\n", - " return np.sqrt(umin**2 + (t/t_e)**2)\n", - "\n", - "def t_fwhm_point(umin, t_e):\n", - " t_vals = np.linspace(-5*t_e, 5*t_e, 2000)\n", - " A_vals = np.array([A_ps(u_func(umin, t, t_e)) for t in t_vals])\n", - " A_max = np.max(A_vals)\n", - " t_0 = t_vals[np.argmax(A_vals)]\n", - " half_max_indices = np.where(np.isclose(A_vals, A_max/2, atol=0.1))[0]\n", - " t_fwhm = t_vals[half_max_indices[-1]] - t_vals[half_max_indices[0]]\n", - " return t_fwhm\n", - "\n", - "\n", - "def t_fwhm_finite(umin, t_e, rho):\n", - " t_vals = np.linspace(-5*t_e, 5*t_e, 2000)\n", - " A_vals = np.array([A_gould(u_func(umin, t, t_e), rho) for t in t_vals])\n", - " A_max = np.max(A_vals)\n", - " t_0 = t_vals[np.argmax(A_vals)]\n", - " half_max_indices = np.where(np.isclose(A_vals, A_max/2, atol=0.1))[0]\n", - " t_fwhm = t_vals[half_max_indices[-1]] - t_vals[half_max_indices[0]]\n", - " return t_fwhm\n", - "\n", - "def t_duration(umin, ut, t_e, rho):\n", - " return 2* (1 - ((umin + rho)/ut)**2)**(1/2) * t_e * (ut + rho)\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 685, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "1.3675856161211635" - ] - }, - "execution_count": 685, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "A_gould(1.3, 2)" - ] - }, - { - "cell_type": "code", - "execution_count": 686, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "1.999999999999998\n" - ] - } - ], - "source": [ - "umin = 1.2\n", - "deltab = f_func(umin**2)\n", - "bw2 = 2* f_func(deltab)\n", - "print(f_func(umin**2)/f_func(bw2))\n" - ] - }, - { - "cell_type": "code", - "execution_count": 695, - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_53774/2359113364.py:30: RuntimeWarning: invalid value encountered in sqrt\n", - " return quad(lambda x: np.sqrt(1 - m**2*np.sin(x)**2), 0, phi)[0]\n", - "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_53774/2359113364.py:30: IntegrationWarning: The occurrence of roundoff error is detected, which prevents \n", - " the requested tolerance from being achieved. The error may be \n", - " underestimated.\n", - " return quad(lambda x: np.sqrt(1 - m**2*np.sin(x)**2), 0, phi)[0]\n", - "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_53774/2359113364.py:30: IntegrationWarning: Extremely bad integrand behavior occurs at some points of the\n", - " integration interval.\n", - " return quad(lambda x: np.sqrt(1 - m**2*np.sin(x)**2), 0, phi)[0]\n", - "/Users/nolansmyth/opt/anaconda3/lib/python3.9/site-packages/scipy/optimize/_minpack_py.py:177: RuntimeWarning: The iteration is not making good progress, as measured by the \n", - " improvement from the last ten iterations.\n", - " warnings.warn(msg, RuntimeWarning)\n" - ] - }, - { - "data": { - "text/plain": [ - "1.9595917942265424" - ] - }, - "execution_count": 695, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "rho=0.1\n", - "t_fwhm_gondolo_finite(1, 0.2, rho)" - ] - }, - { - "cell_type": "code", - "execution_count": 278, - "metadata": {}, - "outputs": [], - "source": [ - "umin = 0.5\n", - "t_e = 10\n", - "t_arr = np.linspace(-20,20,1000)\n", - "u_arr = u_func(umin, t_arr, t_e)\n", - "rho = 0.7\n", - "A_fs_arr = np.array([A_gould(u, rho) for u in u_arr])\n", - "A_ps_arr = np.array([A_ps(u) for u in u_arr])" - ] - }, - { - "cell_type": "code", - "execution_count": 279, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "1.7320508075688772" - ] - }, - "execution_count": 279, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "#This is ~ 2*t_E for ut=1 and umin<<1\n", - "t_duration(umin, 1, t_e, 0)/t_e" - ] - }, - { - "cell_type": "code", - "execution_count": 324, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "1.7320508075688772" - ] - }, - "execution_count": 324, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "np.sqrt(12)*umin" - ] - }, - { - "cell_type": "code", - "execution_count": 281, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "17.32050807568877\n", - "100.0\n" - ] - } - ], - "source": [ - "#Novati relating fwhm to t_e for umin << 1\n", - "print(np.sqrt(12)*umin*t_e)\n", - "#Explicit calculation of fwhm\n", - "print(t_fwhm_point(umin, t_e))\n" - ] - }, - { - "cell_type": "code", - "execution_count": 238, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "3.5517758879439683\n", - "13.256628314157076\n" - ] - } - ], - "source": [ - "#Finite source calculation, small source\n", - "print(t_fwhm_finite(umin, t_e, 0.01))\n", - "#Finite source calculation, larger source\n", - "print(t_fwhm_finite(umin, t_e, 0.5))" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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LQAQAJpMJACCXyz1+Lc5mIiKiOpHJZAgICEBeXh7kcjkkEv7/mCp6ZEwmE3JzcxEUFFRtM09PYZghIqI6EQQB0dHRSE1NxZkzZ7xdDvmYoKAgREVFNci1GGaIiKjOFAoFWrVqxVtNVI1cLm+QHpkqDDNERFQvEonEr/ZmosaHNziJiIjIrzHMEBERkV9jmCEiIiK/xjBDREREfo1hhoiIiPwawwwRERH5NYYZIiIi8msMM0REROTXuGgeEfmc4nIbvt11FkazHWPbR6F9lM7bJRGRD2OYISKfc/t3u/H74RwAwHN/HcHHN3TE9F6JXq6KiHwVbzMRkc95/dq2SInSYUTrcDhF4K6f9uG3g9neLouIfJRXw8wLL7wAQRCqPRpqh00i8l1tI3XY+8ggLJvRC//pnQhRBO5ZvB9Gs83bpRGRD/J6z0z79u2RlZXleuzfv9/bJRGRFxzMLsGG1ALX11X/wXlnXHu0CA1AhsGMt9ae8mKFROSrvB5mZDIZoqKiXI/w8HBvl0REXjD77yMY+MEmvL32ZLXjarkUr45qC4VUArPN4aXqiMiXeX0A8PHjxxETEwOlUolevXphzpw5aN68+UXPtVgssFgsrq+NRmNDlUlEHpReXI6lByrGxFydHHHB89d3jEb/pBDE6FUNXRoR+QGv9sz06tULX331Ff7++298+umnyM7ORt++fVFQUHDR8+fOnQu9Xu96xMfHN3DFROQJn245A6cIDG4RetFp2FKJwCBDRJckiKIoeruIKmVlZWjRogUef/xxzJo164LnL9YzEx8fD4PBgMDAwIYslYjcRBRFtHl9NY7nl+Gbm7vg5q5xlz3/YHYJdEopEoIDGqhCInI3o9EIvV7vtp/fXh8zcy6NRoMOHTrg+PHjF31eqVQiMDCw2oOI/NveTCOO55dBJZNgTLvLz2Z87LdD6PDmGnyyJa2BqiMif+BTYcZiseDw4cOIjo72dilE1EB+3JcJABjVJgI61eWH8XWKqfgPzK9cc4aIzuHVMPPoo49i7dq1SE1NxdatW3HDDTfAaDRiypQp3iyLiBrQ6hMVY+Ru6BRzxXOvaRsBqUTAgewSnMwv83RpROQnvBpmzp49i5tuugnJycm47rrroFAosGXLFiQmctlyoqZi7T198fd/emNMu8grnhsSoMDApBAAwC/snSGiSl6dmr1w4UJvXp6IfIBcKsHw1jVfX2psShRWnyzArwezMWtQCw9WRkT+wqfGzBARXUlVD86m00UoMdu9XA0R+QKGGSLyCovdgS5vr8V9i/ej1FLzUNI8VIOkkADYnWK17Q+IqOny+grARNQ0bT5dhL2ZRmSXWPC/8Sm1eu2ro9pAo5Cif1Koh6ojIn/CMENEXrHieB4AYETrcEgkQq1eO7lLrCdKIiI/xdtMROQV608VAqjYwoCIqD4YZoiowZltDmxLKwYADGhetzCzLa0Izy47grUn891YGRH5I95mIqIGtz29GFaHE1E6JVqE1m2PpQXb0/Hx5jMotzkwqEWYmyskIn/CnhkianAbUituMfVPCoEg1G68TJU+zYIBAFvOFLmtLiLyTwwzRNTgAhRStAzToF/lar510Sex4rU7zxpgsTvcVRoR+SHeZiKiBvfggOZ4cEBzOJ1indtoERqAcI0CeWVW7DprQJ9mdQ9GROTf2DNDRF5T2ynZ5xIEwXWraTNvNRE1aQwzRNSgSsx2OOrRI3Ou3okcN0NEDDNE1MAe/+MQgp9bho82na53W30qw8yhnJJ6t0VE/otjZoioQW1PK0apxYFwjaLebfVKCMb+RwejbYTWDZURkb9imCGiBmO2ObAvywgA6BEfVO/2VHIp2kfp6t0OEfk33mYiogazJ9MIu1NEhFaBhGC1t8shokaCYYaIGsy2tIqBuj3jg+u8WN75DmQZceu3u3DnD3vc0h4R+R+GGSJqMNvTiwEAPRKC3NamzSniu90ZWLI/G6LonllSRORfGGaIqMFUbS7Z041hpn2kDgqpBMXlNqQWmtzWLhH5D4YZImoQTqeIiZ1jcG3bSHSPC3JbuwqZBB2jKwYB7zxrcFu7ROQ/OJuJiBqERCLg5ZFtPNJ217gg7DhrwM6zBtzYKcYj1yAi38WeGSLye13j9ACAXWeLvVsIEXkFwwwRNYiD2SXIMpo9Mki3W2WY2XnWwEHARE0QwwwRNYhpC3cj9qUVWHog2+1tp0TpoJZLEBekQlG5ze3tE5Fv45gZIvI4u8OJA9kV+yeleGDFXqVMiqKXR0Eh4//PiJoifucTkccdzy+D2e6ERiFFi1CNR67BIEPUdPG7n4g8rmo/pg7RgZBI3LPy76U4nRwzQ9TUMMwQkcftzawKM57bFDKtyITe761H8zkrOQiYqInhmBki8rh9lWGmU7TeY9cI1yqx42wxnCKQXWJBdKDKY9ciIt/Cnhki8ri9lbeZOsUEeuwaarkUrcO1FderDE9E1DQwzBCRR4miiJdHtsGDA5I8epsJADpGV4QlhhmipoW3mYjIowRBwNQe8QDiPX6tjjGB+GFvpmvAMRE1DeyZIaJGo5OrZ4YbThI1JQwzRORRK4/nYf2pApRa7B6/VtWYnKN5ZTDbHB6/HhH5BoYZIvKox38/hEEfbsKKY3kev1asXoWusXqMaRcJg9nz4YmIfAPHzBCRx9gcThzMLgXw7+BcTxIEATseHujx6xCRb2HPDBF5zNHcUlgdTmiVUiSFBHi7HCJqpBhmiMhjqmYVdWyAbQzOJYoi8sssDXY9IvIuhhki8piq9V4a4hZTleN5pQif/TfavL6a2xoQNREMM0TkMfsaYOXf88UHqWEw21FosiHDYG6w6xKR9zDMEJHHVPXMdIrx3J5M51PJpUgO11S7PhE1bgwzROQRoijih9u74f0JKegQ5dltDM5XFZ64EjBR08AwQ0QeIQgC+ieF4t5+SdAoG3YViKoxOgwzRE0DwwwRNTpVY3R4m4moaeCieUTkEd/uOguL3Ymrk8MRq1c36LWrwsyxvFKU2xxQy6UNen0ialgMM0TkEf9dfRL7soxYOq1Hg4eZKJ0S13eIRrOQAIYZoiaAYYaI3M5qd+JwbgmAf3eybkiCIODHKd0b/LpE5B0cM0NEbncktxQ2h4ggtRwJwQ3bK0NETQ/DDBG53d4sAwCgY7QOgtBw2xicr9Bkxe4Mg9euT0QNg2GGiNyuahZRBy/cYqqyP8uIsOf/xrCPN3NbA6JGjmGGiNxuX2bDb2NwvtbhGsgkAorLbTjLbQ2IGjWGGSJyO9eeTNENt43B+ZQyKdpEaAFwvRmixo5hhojcbu8jg/HXjF7oEN2w2xicjysBEzUNDDNE5HaROiVGJEdA5eX1XTpW3ubax54ZokaNYYaIGi32zBA1DVw0j4jc6q01J1FYbsUtXeLQroF3yz4ftzUgahoYZojIrRZsT8fBnBL0TQzxepiJ0inx8MDmaB2ugdPJ6dlEjRXDDBG5jdnmwJG8UgD/jlfxJkEQ8NbY9t4ug4g8jGNmiMhtDuWUwOEUEayWI06v8nY5RNREMMwQkdvsy6rcXDIm0KvbGJzLYndgW1oRfj+U4+1SiMhDGGaIyG32ZlbuyeQDt5iqHMopRe//bcDUhbu5rQFRI1WnMTMOhwMLFizAypUrkZubC6fTWe35VatWuaU4IvIvrm0MvLgn0/naRmghlQgoNNmQYTAjLoi7eBM1NnUKMw8++CAWLFiA0aNHIyUlxWe6k4nIu1ILTQC8uyfT+VRyKZLDNTiUU4p9WUaGGaJGqE5hZuHChfjhhx9wzTXXuK2QuXPn4umnn8aDDz6Id999123tElHDOfHUMKQWmhDvY4GhU4zeFWauaRvp7XKIyM3qNGZGoVCgZcuWbiti+/bt+OSTT9CxY0e3tUlEDU8iEdAiTAOFzLeG41XtEcVtDYgapzr9i/PII4/gvffec8tgutLSUtxyyy349NNPERwcXO/2iIjO14nbGhA1anW6zbRhwwasXr0ay5YtQ/v27SGXy6s9v3jx4hq3de+992L06NG46qqr8Morr1z2XIvFAovF4vraaOQ/TES+4rHfDiGtyIQHBzZH32Yh3i6nmqrZVUfzymC2Oby+ASYRuVedwkxQUBAmTJhQ74svXLgQu3btwvbt22t0/ty5c/Hiiy/W+7pE5H5/HM7BkdxSTO0R7+1SLhATqMJ741PQLrJiZhMRNS51CjPz58+v94XT09Px4IMPYvny5VCparZS6FNPPYVZs2a5vjYajYiP971/OImamnKbA8cqtzHoFKP3cjUXEgQB9/dP8nYZROQh9dqbKS8vD0ePHoUgCGjdujXCw8Nr/NqdO3ciNzcX3bp1cx1zOBxYt24d5s2bB4vFAqm0elewUqmEUqmsT8lE5AEHs0vgFIEwjQLRgfweJaKGVacwU1ZWhvvvvx9fffWVa8E8qVSK22+/He+//z4CAgKu2MawYcOwf//+asemTZuGNm3a4IknnrggyBCR79pbOUuoY7TvbGNwvoIyK/4+motSqwP/6Z3o7XKIyI3qNJtp1qxZWLt2LX777TcUFxejuLgYv/zyC9auXYtHHnmkRm3odDqkpKRUe2g0GoSGhiIlJaUuZRGRl+ytnCXkS9sYnO9MkQm3frcbz/x5mNsaEDUydeqZ+fnnn/HTTz9h8ODBrmPXXHMN1Go1Jk6ciI8++shd9RGRH9ibUbEnU5dY3w0z7SJ1kEoEFJhsyDJaEMNdvYkajTqFGZPJhMjIC1fRjIiIgMlkqnMxa9asqfNrich7JIIAuVRAZx8c/Fvl/G0NGGaIGo863Wbq06cPZs+eDbPZ7DpWXl6OF198EX369HFbcUTkH1bf0xclr16D9pE6b5dyWR0rF8/by5WAiRqVOvXMvPfeexg5ciTi4uLQqVMnCIKAPXv2QKVS4e+//3Z3jUTkB3xtC4OL6RAdiIV7MrGfKwETNSp1CjMpKSk4fvw4vvnmGxw5cgSiKGLy5Mm45ZZboFb71gZzRORZoij67Aym81Xt5s2eGaLGpc7rzKjVasyYMcOdtRCRH7rpm104kV+G10a3xVWta77WlDdU3WY6klcKi90BpYxLQBA1BjUOM7/++itGjRoFuVyOX3/99bLnjh07tt6FEZF/2JpWhDNF5VBIff82U6xehV/v6IkOUTq/qJeIaqbGYWb8+PHIzs5GREQExo8ff8nzBEGAw+FwR21E5OOKTFacKSoH8O8tHF8mCAKubXfhTEwi8m81DjNVK/2e/3siarqqxp40C1ZDr5Z7uRoiaqrq1M/61VdfwWKxXHDcarXiq6++qndRROQf9lSGmc6xvru+zPnOFJrw0vJjeHH5UW+XQkRuUqcwM23aNBgMhguOl5SUYNq0afUuioj8w97Min8H/OEWU5W8MiteWH4UH2w8zW0NiBqJOoWZS03FPHv2LPR6//kfGhHVT9VtJl9e+fd87aN0kAhAfpkV2SUX9jATkf+p1dTsLl26QBAECIKAYcOGQSb79+UOhwOpqakYOXKk24skIt8jiiLaRepQanX4Vc+MWi5F63AtjuSWYm+mEdGB3NaAyN/VKsxUzWLas2cPrr76ami1WtdzCoUCzZo1w/XXX+/WAonINwmCgG9u6ertMuqkS6weR3JLsTvDgJFtIrxdDhHVU63CzOzZswEAzZo1w6RJk6BS8X80ROR/usTq8f3uDOw6e+HYPyLyP3UaMzNlyhQGGaImrrjc5rcDaLtWzr7alcEwQ9QY1CnMOBwOvPnmm+jZsyeioqIQEhJS7UFEjd91C7Yj+Lm/8MehHG+XUmtd4yrCTHaJGaUWu5erIaL6qlOYefHFF/H2229j4sSJMBgMmDVrFq677jpIJBK88MILbi6RiHyNKIrYm2mE0WxHrN7/emmD1HIcfnwIDK+MglZZ5y3qiMhH1CnMfPvtt/j000/x6KOPQiaT4aabbsJnn32G559/Hlu2bHF3jUTkY04XlqOo3AaFVIJ2kTpvl1MnyRFayLg/E1GjUKfv5OzsbHTo0AEAoNVqXQvoXXvttfjjjz/cVx0R+aSdZ4sBAB2idVDIGAiIyLvq9K9QXFwcsrKyAAAtW7bE8uXLAQDbt2+HUql0X3VE5JN2Vg6crRp74o/SikyY8v1ujP18m7dLIaJ6qtPN4gkTJmDlypXo1asXHnzwQdx00034/PPPkZaWhocfftjdNRKRj9lV2TPTLS7Iq3XUh1Imxdc7zwIAjGYbAlXcKJPIX9UpzLz22muu399www2Ij4/Hxo0b0bJlS4wdO9ZtxRGR7xFFETsr12fp5sc9M5E6JWL1KmQYzNibacSA5qHeLomI6sgtw/h79eqFXr16uaMpIvJxVocT/+mdiD0ZBqRE+efg3yrd4vTIMJixK8PAMEPkx+o0Zmbu3Ln44osvLjj+xRdf4PXXX693UUTku5QyKeZc0xZ/zugNpUzq7XLqpUvl4nm7uRIwkV+rU5j5v//7P7Rp0+aC4+3bt8fHH39c76KIiBoCVwImahzqPDU7Ojr6guPh4eGuWU5E1DjtSC9GXqnF22W4RdVsrEM5JTBZuRIwkb+qU5ipGvB7vo0bNyImJqbeRRGRbxJFEaM+3YLIF5a7ZjT5s5hAFaIDlWgToUWWsXEENKKmqE4DgKdPn46HHnoINpsNQ4cOBQCsXLkSjz/+OB555BG3FkhEviOtqBwFJhtkEsFvV/49lyAISH36Ki78R+Tn6hRmHn/8cRQWFuKee+6B1WoFAKhUKjzxxBN46qmn3FogEfmOqsXyUqJ0UMn9e/BvFQYZIv9XpzAjCAJef/11PPfcczh8+DDUajVatWrF1X+JGrldZ6tW/g3ybiEe4HCKkEoEb5dBRHVQr3VmtFotevTo4a5aiMjH/bvyr/8ulne+Uosdoz7dgn1ZJciaPRwBCu6iTeRvavxde91112HBggUIDAzEddddd9lzFy9eXO/CiMi3NJaVf8+nUUhxqtCEEosduzOM6JcU4u2SiKiWahxm9Ho9BKGiCzYwMND1eyJqGk4XliOvzAq5VEDH6EBvl+M2giCgZ3wQfjmYg23pRQwzRH6oxmFmwoQJUKlUAIAFCxZ4qh4i8lHBAXJ8PrETskosjWbwb5UeCcH45WAOtqcVe7sUIqqDWoWZ7OxshIeHQyqVIisrCxEREZ6sjYh8SJBajmk9E7xdhkf0jA8CAGxLL/ZqHURUNzWekxgeHo4tW7YAqLh3zttMRNRYdK8MM6cKTMgv4+J5RP6mxmFm5syZGDduHKRSKQRBQFRUFKRS6UUfRNS42BxOvL8hFVvPFMHpFL1djtsFqeVIDtcAAG81EfmhGt9meuGFFzB58mScOHECY8eOxfz58xEUFOTB0ojIV+zPMuLBpQcQpJaj4KWrvV2OR4xqG4nkiDJoODWbyO/U6ru2TZs2aNOmDWbPno0bb7wRAQEBnqqLiHzI1sreip7xQY32FvPbY9t7uwQiqqM6/Rdk9uzZ7q6DiHzYtrQiAEDPhCDvFkJEdBE1DjNdu3bFypUrERwcjC5dulz2f2e7du1yS3FE5BuqemZ6JQR7txAPE0UR6cXlCFYroFPxdhORv6jxd+u4ceNcey+NHz/eU/UQkY8xlNtwJLcUQOPvmRn92Vb8dTQP39/aFZM6x3q7HCKqoRqHmXNvLfE2E1HTsb1y7ZXmoQEI1zbuzWSbh2oA5GFbWjHDDJEfqVc/qtVqRW5uLpxOZ7XjCQmNc2EtoqZoa9V4mcq1WBqznglB+HDTv++ZiPxDncLMsWPHcOedd2LTpk3VjlctpudwONxSHBF530MDmmNAUig0ysa/hlTfZhX7Mu1IN8BsczS6bRuIGqs6hZlp06ZBJpPh999/R3R0dKOdqklEgEYpw8AWod4uo0G0CA1AhFaB3FIrdmUYXOGGiHxbncLMnj17sHPnTrRp08bd9RAReY0gCOjbLARLD2RjY2ohwwyRn6jxdgbnateuHfLz891dCxH5mD8O5eCBpQew6njT+X6vCjCbThd6uRIiqqk69cy8/vrrePzxxzFnzhx06NABcrm82vOBgYFuKY6IvGvpwWx8vjUNapkEQ1uFebucBjGidTgyBiThqlbh3i6FiGqoTmHmqquuAgAMGzas2nEOACZqXDamVvRO9EtqOrdbOsYE4p1xKd4ug4hqoU5hZvXq1e6ug4h8TH6ZxbVYXt9mjXvlXyLyb3UKM4MGDXJ3HUTkYzadrlhrpU2EFmGaxr1Y3vlMVju2pRXDZHPgmraR3i6HiK6gTmFm3759Fz0uCAJUKhUSEhJcWx8QkX+qusXUFGf0rDiWjwkLtqNdpJZhhsgP1CnMdO7c+bJry8jlckyaNAn/93//B5VKVefiiMh7qmbz9G9C42Wq9EmsuK12KKcURSYrggMUXq6IiC6nTlOzlyxZglatWuGTTz7Bnj17sHv3bnzyySdITk7Gd999h88//xyrVq3Cs88+6+56iagBOJ0ickutAIB+TXC8TIROiVZhGgDA5jPc2oDI19WpZ+bVV1/Fe++9h6uvvtp1rGPHjoiLi8Nzzz2Hbdu2QaPR4JFHHsGbb77ptmKJqGFIJAKOPjkU6cXliNM3zd7Vvs2CcTy/DBtPF/JWE5GPq1PPzP79+5GYmHjB8cTEROzfvx9Axa2orKys+lVHRF4VH6RustuVVI0Vqho7RES+q05hpk2bNnjttddgtVpdx2w2G1577TXXFgcZGRmIjOT/ZojIPw2q3I9qa1oxzDaunUXky+p0m+mDDz7A2LFjERcXh44dO0IQBOzbtw8OhwO///47AODUqVO455573FosEXme0ymi3X9Xo3WYFp/c2BFRgU3zNlOrMA2iA5XIMlqw5UwRBrdsGisgE/kjQRRFsS4vLC0txTfffINjx45BFEW0adMGN998M3Q6nbtrvCSj0Qi9Xg+DwcAtFIjcZG+mAV3eXgeNQorCl0dCLq1TB26j8MehHEQHKtEpRg+ppGnebiPyBHf//K5TzwwAaLVazJw5s94FEJFvWX2iAAAwICmkSQcZABjdjrfKifxBncMMABw6dAhpaWnVxs4AwNixY+tVFBF5z5qTFTtk87YKEfmLOoWZU6dOYcKECdi/fz8EQUDVnaqqWQ/caJLIPzmcItadqpi9M6QFwwwALN6fhd8P5eCu3onoldj01twh8gd16kN+8MEHkZSUhJycHAQEBODgwYNYt24dunfvjjVr1ri5RCJqKHszDSgut0GnlKFLLMehAcBPezOxYHs6lh3J9XYpRHQJdQozmzdvxksvvYTw8HBIJBJIJBL0798fc+fOxQMPPFDjdj766CN07NgRgYGBCAwMRJ8+fbBs2bK6lEREblA1XmZg8xDImvh4mSpVU7TXnSrwciVEdCl1+tfK4XBAq9UCAMLCwpCZmQmgYtG8o0eP1riduLg4vPbaa9ixYwd27NiBoUOHYty4cTh48GBdyiKieorRqzCweQhGJEd4uxSfMbjydtvmM0Vcb4bIR9VpzExKSgr27duH5s2bo1evXnjjjTegUCjwySefoHnz5jVuZ8yYMdW+fvXVV/HRRx9hy5YtaN++fV1KI6J6uKlLLG7qEuvtMnxK63ANonRKZJdYsDWtCIM4lojI59SpZ+bZZ5+F0+kEALzyyis4c+YMBgwYgD///BPvvfdenQpxOBxYuHAhysrK0KdPn4ueY7FYYDQaqz2IiDxJEAQMrrzVtOYkbzUR+aI69cycu8Fk8+bNcejQIRQWFiI4OLjW+7js378fffr0gdlshlarxZIlS9CuXbuLnjt37ly8+OKLdSmZiK7geF4pQjUKhAQovF2KzxnUIhQL92Ri1fF8zB6R7O1yiOg8tVoB+I477qjReV988UWNC7BarUhLS0NxcTF+/vlnfPbZZ1i7du1FA43FYoHFYnF9bTQaER8fzxWAidxg1KdbsPxYHhZM7ozbusV7uxyfcqqgDC3nrkK3OD22PDCAqwET1ZO7VwCuVZiRSCRITExEly5dcLmXLVmypM4FXXXVVWjRogX+7//+74rncjsDIvew2B0Ife5vmGwO7Jk1CB1j+P10vpwSCyJ1Sm+XQdQoeHU7g5kzZ2LhwoU4deoU7rjjDtx6660ICQmpdxHnEkWxWu8LEXnextQimGwOROqU6BDdcPur+RMGGSLfVasBwB9++CGysrLwxBNP4LfffkN8fDwmTpyIv//++7I9NZfy9NNPY/369Th9+jT279+PZ555BmvWrMEtt9xS67aIqO6WH8sDAIxoHV7rcW9NDadnE/meWs9mUiqVuOmmm7BixQocOnQI7du3xz333IPExESUlpbWqq2cnBzcdtttSE5OxrBhw7B161b89ddfGD58eG3LIqJ6WH60YnXbEcnhXq7EdzmdIq75dAuCn/sLZwpN3i6HiM5Rr40mBUFw7c1UNVW7Nj7//PP6XJ6I3CCnxII9mRXLHAxvxTBzKRKJAKPFDovdiRXH8zC9V6K3SyKiSrXumbFYLPj+++8xfPhwJCcnY//+/Zg3bx7S0tJcqwITkf/453jFLaYusYGI4LiQyxreuiLsrTia5+VKiOhcteqZueeee7Bw4UIkJCRg2rRpWLhwIUJDQz1VGxE1gKtaheOziZ2glku9XYrPG9E6HC8uP4Z/jufD4RQ5RZvIR9R6anZCQgK6dOly2UGCixcvdktxV8Kp2UTUkOwOJ8Jn/w2D2Y4tD/RHz4Rgb5dE5Je8OjX79ttv50wHIqoX0WGD01YCp7UEoq0UosMK0WEDnDaIlY+K39shCFJAkAISKQSJDBCkFcckckjkARDkWkgUWghyLQSp0uP/PsmkEgxrFYbF+7Ox/FgewwyRj6hVmFmwYIGHyiAib1i0JwNZRgsmpEQhMSSgTm2ITgccZZmwGU7DUZoBR3keHKYcOEy5rofTUgyn1QjRYoToMLv5XVQSJBDkWkiVwZCoQyFVh1f+Glbx0MRAFhgPmS4eUm0cJDJVnS4zvHU4Fu/PxrLDuXj2qtZufhNEVBf1ms1ERP5t3oZUbDxdBKVMgrv7NrvkeaIowlGWBVvBIVgLDsJWeAQ2QyrsxjOwl6QBTlutry1IVRAUWggSBQSpApDIIEjkECRyQCqHIMgA0QlRtANOB0TRATjtFb86bHDaTRU9O/byyiKdEK1G2K1GoOTMFa8vCYiAXJcIeUgy5MHJkIe0qfi9vgUEqfySrxvdNhLDWmVhXPsoiKLI3moiH8AwQ9RE5ZdZsPlMEQBgdNsI13FRFGE3noElZzss2dthydkBW/4BOC3Fl25MIoNMlwCZNg7SgAhINZGQqMMhDYis+FoVAokyEIJcB4kyEBK57rKBoTZEpwOi3QSnrRSitQQOczGc5XlwlBfAac6Hw5QHR3k+HKWZsJekwV6SXnG+KRcWUy4sOdsveC+K0PZQRnaHIrI7lJHdoAht76o3LkiNFXf1cUvtROQeDDNETdRfR/LgFIGO0TpEC5kw7luF8rSVsGRugsOUc+ELBAnkQS0gD20PRUhbyIJaQBaYBHlgIqTaWAgS78yGEiRSCAodJAodoInGlSKSKIpwWopgN6bBbjgFW9FRWAuPwFZ4FLaioxBtZbDm7YU1by9woGItLEGmhjK6N9Txg6GKGwJlVPeKMTxE5BNqNZvJ13A2E1HdiHYLXvzq/6DM/Aujgw5BZ8+sfoJEBkVYRyijekIZ1R2K8E6QByfXeZyJvxBFJ+zGNFjzdsOSvQOWnJ2w5uyE02qodp6g0EGI7I8DigEYOvh2qHURl2iRiC7Gq7tm+xqGGaKaE+0WmE4vQ9nxxTCl/gnRavz3SYkcqujeUCUMgzp+MBQRXSCRqb1XrA8RRSdsRUdhTl+L8vTVMJ9dC6e58N/nIYE6tj80ra6DJnkipOowL1ZL5B8YZs7BMEN0Zda8fSg5+CVKj3wHp7nAdTzHEYz1tj64e+JdCIgbAImCK3jXhCg6Yc3bi+9/+wKhBcuRokj990mJHAHNr4Wu/RSoE0fwVhTRJXh1nRki8g+i0wHTyaUw7HoPlqwtruNSTQw0yZPwj6UPpq2UYmKnOGibd/Fipf5HECRQRnRBcK9nMG7BCPQOLcGfI3JRdvR7WHN3w3RiCUwnlkCqjUVg53uhS5kOqSrI22UTNWrsmSFqRJz2cpQc+ALGXf+D3VjZYyCRI6DFGOjaTYU6cbhroG6ZxQ6D2Y4YfeMeB+MpZRY7wmb/DYvdif2PDkb7KF1FL9ihryp6wcrzAQCCXANd+2nQd3sYMl28l6sm8g28zXQOhhmiCqLDhpJDX6J466twlGYAACSqUAR2/A90ne6GTBPl5Qobp9GfbcWyI7mYc00bPDm0leu4aLeg9NgiGHa9C1v+AQCAIFVC1/EuBPV4HNIADhimps3dP79rvWs2EfkOURRRdvxnnP2qIwpW3gNHaQakuniEDnkf8XeeRHDfFy8IMqUWu5eqbXzGtIsEAPxyILvacUGmhK7d7Yi9ZSeiJvwJVexAiA4LjLv/h/T5ySja/CKcNpM3SiZqlBhmiPyUtfAospeMRu4fN8FuOAlJQARCBr2N+CmHENjpLkjkF9+eYMAHG9H17bXYm2m46PNUc+NToiAIwK4MA/LLLBc8LwgC1IlXIeqGFYia8CcUkd0g2spQvPVVZHzVCWUnf4Ufd44T+QwOACbyM6LDhuLtr6F422uA0wZBqoS++6PQd3vkijOSTuaXYW+mEVKJgDg9p17XV1SgCr9M64m+zYIREqC45HlVoSYmYRhMJxajYN3jsJecQe5vNyCg+WiEDvsQMk10A1ZO1LgwzBD5EWvhEeT9PQ3WnJ0AAHWzkQgd/A7kQS1q9PollbdDBrcIRajm0j98qeaurbzVVBOCIEDT6nqom41E8dY5MOx6F6ZTf8Cc2RVhwz6AptV1HqyUqPHibSYiPyCKIoz7P0Pmtz1hzdkJiTII4SO/QuS4X2ocZABgyf4sAMCEFPYCeEJNbxlJ5BqE9H8VsTdvhSK8E5zmAuT+MRl5f9/JsTREdcAwQ+TjnHYz8v+5CwUr74HoMEOdMByxt+2Gts3kWu3YnGkwuzaWHJ/C2U3u9OPeTPSftwEfbjpdq9cpwlIQM3kj9D2eAAQJSg9/jaxFA2EzpF75xUTkwjBD5MPsJWeR9eNQlB5cAAgSBPd7BZETfoNMG1vrtn7aV7H/Up/EYK4t42ZnDeXYdLoIP+3NqvVrBakCIf1eRtT1yyFRh8Oavw+Z3/WG6cwKD1RK1DgxzBD5KGv+AWQuGgBrzg5IVCGIHP8bgno8DkGo27ftwj0VYWZS5xh3lkkAru9QcdtuXWoBckounNVUE+q4gYi9eSuUkT3gtBQhZ+lYlBz80p1lEjVaDDNEPsicsRFZPw6FozQD8pA2iLlpMwISh9erzSeGtMTETjGY2Ilhxt0SggPQMz4Ioggs3l/73pkqMl0com5cCW3bWwDRgfwVM1C87XVO3ya6AoYZIh9TnrYK2YtHwWkphjK6N6InroFcn1TvdselRGHhbd0QFchbTJ5wfceK3plFezLq1Y5EpkLYiC+g7/YIAKBo03Mo2vgsAw3RZTDMEPmQ8vS1yPl1QsVA32ajEHXdX5CqQrxdFtXA5C6xEARg3alCnCms34wkQRAQMmAuQgb+FwBg2PFfFG950R1lEjVKDDNEPsKcuQk5v46HaC+HutkoRF77wyVX8a2NwzkleP6vIzicU+KGKulS4oPUGNw8FADw3e769c5U0Xd9ECGD3gIAFG+dg6Ktc9zSLlFjwzBD5ANsRceQ8+t1EG1lUCcMR8S1iyDIlG5p++udZ/HKP8fxzLIjbmmPLm1qz3iMaReJbnF6t7Wp73I/Qga8BgAo3vwCBwUTXQRXACbyMocpD9lLx8FpLoQyqicixvwIicw941pEUcTCyl6CyZ1rP52baue2bvG4rVu829vVd5sFh6UYhm2vIX/l3ZDp4qFOGOr26xD5K/bMEHmRaLcg57cbYDechCywGSLHLnbLraUqm88U4XRRObRKKa5tF+G2dqnhBfd5EZrkSYDTjtzfJ8FaeNjbJRH5DIYZIi8q3PAkLFmbIVEGIXL8L5AGuDdwLNieDgC4LiUaAQp2xDaU1AIT3lh9AnaH021tCoKA8OGfQRnTD06rAbm/T4LTWuq29on8GcMMkZeUHfsJxj0fAADCRy6AIqSte9u32LGocqG8O3omuLVtujS7w4le/1uPJ/84jJUn8t3atiBTIvLaRZBqYmArPIL8lXdzyjYRGGaIvMJWfAJ5/9wFANB3fxQBSde4/Ro/7ctCicWOlmEaDGjO6d0NRSaV4MbKhQm/2nHW7e1LAyIQcc23gCBF2dFFKDnwhduvQeRvGGaIGpjodCDvr2kQrSVQxvRDcN+XPHIdg9kGvUqGqT3ia7UhJdXftB4Vg4AX789CQZnV7e2rYvshuN/LAIDCdY9xY0pq8hhmiBqYcff/YMneCkERiIhRX0GQeGYsywMDmiNz9gjc36/+qwdT7XSL06NzTCAsdie+3un+3hkA0Hd9GMrY/hBtpchfPh2i6L7xOUT+hmGGqAHZio6haNNsAEDowDcg07l/Gu+51HIpdCoO/G1ogiBgeq9EAMBnW894ZFyLIJEifMRnEOQamDPWo2Tvx26/BpG/YJghaiCiKCJ/1QMQHWaoEq6Ctv00j1zH4RSx6XQhB4Z62S1dY6GWS3AopxSbzxR55BpyfXOE9K9YFbho02w4TLkeuQ6Rr2OYIWogppO/wJy+CoJUibBh8zw2juWvI7noP28jBnywkYHGi/RqOSZ2ioFWKcWJ/DKPXUfX4T9QRHSB02pA4YanPXYdIl/GMEPUAJx2MwrXPQEACOz2MOT65h671oebTgMAeiUEc+Cvl825pi0ynx+B27t77naiIJEidMj7AIDSQ1/BnLnFY9ci8lUMM0QNwLj7f7AbUyHVxiKoxxMeu86J/DIsO5ILQQDu7tvMY9ehmokOVEGr9PyYJVV0T2jbTwUAFG18hj1y1OQwzBB5mNNihGFHxc7Hwf1ehkSu8di1PqrslRmZHIGWYZ67DtWOKIrYcqbIoyEjuPfzEKRKmDPWozztH49dh8gXMcwQeZhx7wdwWoogD06GNvkmj13HZLVjfuX2BfewV8ZniKKIoR9tRt/3N2DlcfeuCHwumS4Ouo4zAQBFm55n7ww1KQwzRB7ktBhh2PkuACCo1zMQJFKPXeu73RkoLreheWgARrbhppK+QhAEpETrAAD/W+/Zxe2CejwGQa6BNWcnTKd+8+i1iHwJwwyRBxn3fujqldG0vtGj1/rrSMW03Jl9mkEq4cBfX3Jf5cKFfxzJ8ejMJmlABAI73QMAMOx8x2PXIfI1DDNEHiI6bDBWLmSm7/mER3tlAOCH27rj7//0xh09PbsQH9VecoQWo9pEQBSBeRs92zsT2PleQCKHJXMjLNnbPXotIl/BMEPkIWUnlsBRlglpQBS0rSd6/HoSiYDhrcMREqDw+LWo9h4YUNE7M39bOoxmm8euI9PGQJs8GQB7Z6jpYJgh8hDj3g8BALoO0yFIPRcw8kotKLPYPdY+uceI1uFoE6FFieXfgdqeou/6IACg7ORSrgpMTQLDDJEHWAsOwZK5CZDIoOs4w6PXeurPI0h89R8s2pPh0etQ/QiCgAf6V/TOVI1v8hRFeEcoI3sATjtKj3zn0WsR+QLuQEfkAaVHvgcABDQbCZkm2mPXyTKa8c3Os7A6nEgIUnvsOuQeU3vEIypQibHtojx+LW37qbDkbEfJgfkI7PIgV4OmRo09M0RuJopOlB1ZCADQtPHcujIA8L8NqbA6nOjXLBh9moV49FpUfyq5FONToiFpgNlm2uSJEKQq2AoPw5qzw+PXI/ImhhkiN7NkboK95AwEhQ4Bza/12HVKzHZ8XLni76ODW3rsOuQZ5TYHThV4bpq2RKlHQMvxAIDSYz957DpEvoBhhsjNyip/cGhaToBE5rlbP/M2psJgtiM5XIMx7SI9dh1yv3UnC5D06j+4+ZtdHl2pV1MZZkwnf+GKwNSoMcwQuZEoijCd/gsAENBinMeuU2K24621JwEAz1zVukFuW5D7tInQwmi2Y1t6MVafKPDYddTNroYgVcFuOAVr/j6PXYfI2xhmiNzIXnwcdsMpQCKHOn6wx66z6kQ+isptaB2uweTOMR67DnlGhE6JO3slAABeXH7UY70mErkG6sSrAADlqX955BpEvoBhhsiNTKeXAwBUsf0hUeg8dp1xKVE4+NhgfDaxE2RSfhv7oyeHtoRSJsH61EKsOJbnseuoE4cDAMrTVnrsGkTexn8FidzIkrkJAKCOH+rxa7WJ0KF/UqjHr0OeEatX4+7K3c2f+8tzvTOquEEAAEv2VohOLq5IjRPDDJEbWXJ3AQCUUd090r7RbMPxvFKPtE0N78khLREgl2J7ejF+O5TjkWvIQ9pAotBDtJfDmr/fI9cg8jaGGSI3cZiLKsbLAFBEdPHINd5YfRJt31iN2X8f9Uj71LAidErXnk1bzhR55BqCIIEyqicAcONJarQYZojcxFrZKyPTN4dU5f4F7DIM5Xhn3Uk4RaBLbKDb2yfveGxwC+x6eCDmXNPWY9dQRleGmaytHrsGkTdxOwMiN7HkVN5i8lCvzOy/j6Hc5kTfZsEY197zy+FTwwgOUCDYwzud/9szwzBDjRN7ZojcxJyxAcC/Pzjc6UCWEQu2pwEA3ri2HffZaaROFZTht4PZbm+36u+kregYHGbP3M4i8iaGGSI3EB1WmDPWAwBU8UPc3v5Tfx6GUwSu6xCFvtyDqVHaebYY7d5Yg9u+3428Uotb25aqQyELqtjygreaqDFimCFyg/KzayHaSiENiIIivKNb2/7nWB7+OJwLqUTw6LgK8q4uMXqkROlgNNvxwvJjbm9fFTcQAFB+movnUePDMEPkBqaTvwIAAlqMgSC499uqwGRFkFqOu/s2Q+twrVvbJt8hkQh4c0w7AMAnW87gUHaJW9vXtBgLACg7+Sv3aaJGx6thZu7cuejRowd0Oh0iIiIwfvx4HD3KKafkX0TRCdPJ3wAAAZU/MNxpUudYHH1iCF6+OtntbZNvGdwyDONTouBwirh/yX63hg5V/FAIcg0cpWdhzdnptnaJfIFXw8zatWtx7733YsuWLVixYgXsdjtGjBiBsrIyb5ZFVCvms2vhKMuERKGHOm6wR64RrlVCr5Z7pG3yLW+OaQeVTILVJwvw/e4Mt7UrkakQ0GwUAKD0yPdua5fIF3g1zPz111+YOnUq2rdvj06dOmH+/PlIS0vDzp38XwP5j9JDXwEANMkTIciUbmv3id8P4deD2bwl0MQ0D9XgmataAQAe+e0Qisttbmtb2+5WAEDp0e8hOqxua5fI23xqzIzBYAAAhIRcfLaGxWKB0Wis9iDyJqfFiLLjiwEA2na3u63dlcfz8N81JzFhwXYcz2dPZVPz6OAW6BwTiHv7NYNa7r5/ptWJIyANiISzPB8mDgSmRsRnwowoipg1axb69++PlJSUi54zd+5c6PV61yM+Pr6BqySqruz4zxDt5ZAHt3bb+jJlFjv+8+M+AMDdfTjotylSyqTY/tBAPHtVayhlUre1K0hk0La9BQBQenCB29ol8jafCTP33Xcf9u3bh++/v/S93KeeegoGg8H1SE9Pb8AKiaoTRRHGvR8CALTtprhtIbvn/z6K1EIT4oNUmMup2E2WVPLv3yeL3QGr3emWdqt6EE2pf8JmOO2WNom8zSfCzP33349ff/0Vq1evRlxc3CXPUyqVCAwMrPYg8hZzxnpY8/ZCkKmhS7nDLW1uPVOE99ZXbFb58fUdoVNxx5Gmbkd6Mbq/sx6vrjzulvYUoe2gShgGiE4Y937kljaJvM2rYUYURdx3331YvHgxVq1ahaSkJG+WQ1Qrxt3vAwC0bW+FVB1a7/Ysdgdm/LgXThG4tWssRrWNrHeb5P9SC004mFOCuSuPY3eGwS1t6rvcDwAoPfAFnFb3rmdD5A1eDTP33nsvvvnmG3z33XfQ6XTIzs5GdnY2ysvLvVkW0RVZC4+4FsoL7HyvW9r8/VAODmSXIEyjwNvj2rulTfJ/N3aKwQ0do2F3ipi2cI9bbjepm42ELKglnFYDSvZ/6oYqibzLq2Hmo48+gsFgwODBgxEdHe16LFq0yJtlEV1R8dY5AEQEtBgLRWg7t7R5fccYLJnaA/MndUaYxn1TvMn/zZvQAWEaBfZlGfHC8vovLCoIEgT1eBwAULzzbThtnDFH/s3rt5ku9pg6dao3yyK6LGvhEZQdrQjcQb2ecWvb41KiMLodby9RdRE6JT66vgMA4PXVJ7DmRH6929S2uQWywCQ4Tbko2fdJvdsj8iafGABM5E/O7ZVRRnSpd3tvrTmJDANvrdLlXd8xBnf2SoAoArd9vxsFZfVb9E6QyhHU6ykAQPHOt9g7Q36NYYaoFiy5u93aK7Ngezoe+/0Qur2zDiVme73bo8bt3bHt0Tpcg+RwLWyO+o+d0ba5BTJ9czhNuTDses8NFRJ5B8MMUQ2JoojCtY8BEKFJnlzvXpn9WUbcu7hicbz7+ydxGjZdkUYpw6qZffH3f3ojKlBV7/YEqRzBfV8EABi2vwF7aWa92yTyBoYZohoynVwKc8Y6CFIVQvq9Uq+2jGYbbvxqB8ptToxMDsdTQ1u5qUpq7GL0qmoL6uWVWurVnqb1RCije0O0m1C06fn6lkfkFQwzRDXgtJlQuO5JAIC+28OQBSbUuS1RFPGfH/fhWF4Z4vQqfHVzF0gk7lk9mJoOi92Bu3/eh85vr0W20VzndgRBQMjANwFUbJpqyd7urhKJGgzDDFENFG95GXZjKqTaWOi7P1avtt5YfRI/7M2ETCJg0W3dOA2b6sTmELH+VAGyjBZM+npnvcbQqKJ7uvZsyvvnLogO9+3UTdQQGGaIrsCSuxuGXe8CAMKGvg+Jou4bP1rtTvy4t2JcwrvjUtCn2cV3iCe6Eq1Shp+n9ECgSob1qYV45LdD9WovZMAbkKhCYcs/AMPON91UJVHDYJghugzRYUP+iv8AogOa1jcioPm19WpPIZNg7T198emNnXBPv2buKZKarOQILb6cXDEQfd6GVHy48XSd25IGhCN08FsAgKKtr8JaeMQdJRI1CIYZosso3vFfWPP2QqIMRuigt+vcjv2cWwAapQx39qr7mBuic41LicIro9oAAB5Yuh9/Hs6pc1ua5JugTrwacFiRv+I/EJ1cLoD8A8MM0SWYM7egeMvLAICQwW9BqqnbyrxlFjsGfbgJr/5zDKIourNEIgDAU0NbYmqPeDhF4JZvd6HIVLcF9QRBQOiweRAUgbBkbUHx1lfdXCmRZzDMEF2E02JA3l+3V9xeSp4MbZtb6tSOzeHEpK93YvOZIryz7hTOGuo+64ToUgRBwMfXd8S49pH4+uauCA5Q1LkteWAiwoZ9AAAo3jYX5owN7iqTyGMYZojOI4oi8lfeC7vxNGSBzRA29H0IQu2nTldMwd6LP4/kQi2X4Lc7eiI+SO2BiokqxmMtmdYT17phby9t8iRo290OiE7k/jUFjvICN1RI5DkMM0TnMe5+H2XHfgAEKcJHfgWJUl/rNkRRxJN/HMaXO85CKhGw6LbunLlEDepUQRmuX7AdxeV1m2YdOvgdyIJawlGSjtxlt3H8DPk0hhmic5Snr0bh+icAACED34Aqpned2nlx+TH8d81JAMCnN3Zyy/+WiWpKFEXc8OUOLDmQjTGfb4XJWvsgIlHoEHntIgiyAJjT/kHRxmc9UCmRezDMEFWyGVKR+8fNgOiAtu2tCOx8X53a2ZFejJdWHAMAvDmmHab2iHdnmURXJAgC5k/uDL1Kho2nizB+/vY6BRpFWAeEj/gMAGDY+TZKj3zv7lKJ3IJhhgiAozwfOUuvhdNcAEVEV4QO+6BO42QAoHt8ED64rgNeH90Wswa1cHOlRDXTKUaPP6f3gkYhxT/H8zHm820os9Q+0Gha3+Ba9TpvxQyUp691d6lE9SaIfjxX1Gg0Qq/Xw2AwIDAw0NvlkJ9y2kzIXjwSlqwtkOriETNpHWTa2Fq1IYoiSi0O7nxNPmdjaiGu+WwrSix29E8KwR939qr131PR6UDunzfDdGIJJAo9oieugiKsg4cqpqbA3T+/2TNDTZrotCNv2a2wZG2BRBmEqPG/1TrIOJ0iHv71IAZ8sLHO63sQeUq/pBAs/09v6FUybEgtxCO/Hax1G4JEivCRX0IZ2x9OqwHZS8fCXpLugWqJ6oZhhpos0elA/ooZMJ36HYJUicixi6EIbVerNuwOJ+78YQ/+tz4V+7KMWH4sz0PVEtVdr8Rg/DOzD4a0CMXca9rWqQ2JTIXIMT9DHtIWjtIMZC8eCXtZlpsrJaobhhlqkqqCTOnhbyumYI/6GqrY/rVqo8xixw1f7XBNv14wuTMmda5drw5RQ+kWF4R/ZvZBqObfBfVySiy1akOqCkbU+N8g1SXAVnQc2T8Nh70s292lEtUawww1OaLoRP4/d6H08DeAIEXEqK+haTm+Vm1kGswY9OEm/HowB0qZBD9P6Y7bu3PWEvm2cwe1f7jxNNq8vgqrT+TXqg1ZYAKib1gBqS4etqJjDDTkExhmqEkR7Rbk/XkrSg99Vdkj8xU0rW+oVRsHsozo9b/12JVhQJhGgRV39cbY9lEeqpjI/ZxOET/ty4TBbMeoT7di/ra0Wr1erk+qCDTaONiKjiLrx6GwGVI9VC3RlTHMUJPhtJYg+5dxKDv+EyCRI3zUV9C2vrHW7YRqFJAIQJsILbY80B/9k0I9UC2R50gkAv6c3gs3dIyG1eHEnT/sxQNLD8B2zu7uVyLXN0f0DSsg0yXCXnwCWYsGwZK314NVE10ap2ZTk+Aoy0H2L2Nhzd0NQa5B5LU/Qp14VY1f73SKkEj+7aI/kluCKJ0KQWq5J8olahBOp4iX/zmGF5dXLPI4pEUoFt3eDWEaZY3bsJdmInvptbDlH4CgCETkmJ+hjh/kqZKpkeDUbKJasubvR+aigbDm7oZEHYboG/6pVZDJL7Ng1GdbsGD7v1NR20ToGGTI70kkAmaPSMbiqd2hVUqx+mQB+r6/ERa7o8ZtyLQxiL5hFZSx/SFajcheOholB7/yYNVEF2KYoUat7MQSZC4aCLsxFTJ9c8RMXANlZLcav37rmSJ0e2cdVhzLx2O/HURpHVZQJfJ141Oisfn+AWgRGoA7eyZAKZPW6vVSVRCiJvyBgJbjAYcV+Sumo2DNI9yckhoMbzNRoySKThRveQXFW18BAKjihyLimm8hVddsfIvDKeK1Vcfx4vJjsDtFtA7X4KfbuyMlmn/PqPEymm3QKmSuW6rH80oRHCCv8W2n+n7fUdPh7p/fDDPU6DjKcpD39x0oT1sBAAjs8gBCBrwGQVKzJdxTC0y4/ftd2Hi6CAAwsVMMPrmxIwJVvK1ETYfJakfP99ajuNyOzyd1wtXJETV+bdnxxchbfidEWxmkunhEjPoaqpi+HqyW/A3HzBBdRnnaSmR82x3laSsgyNQIG/4ZQge9WeMgU2Syovu767DxdBF0ShkWTO6M72/tyiBDTU52iQUOp4hMoxmjPt2Ku37aixJzzW4baVpdh5iJayELaglHSTqyfhyG4m1zITprPhaHqDbYM0ONgtNuRvHmF2HY+TYAEfLQ9oi45ttab08AAM8uO4I1J/Px9U1dkRQa4P5iifxEmcWOp5YdwbwNFWvIJAar8cWkzhjSMqxGr3daS5C/6j6UHfkeAKCKG4ywEZ9CHpjosZrJP/A20zkYZggAzFlbkb98OmxFRwEAug4zEDLoTUhk6iu+1uEU8f6GVAxtGYaOMRV/h2wOJwQAMik7LokAYM2JfNyxaA9OF5UDAKb2iMeH13WASn7lgcKiKKL08NcoWPUARLsJglyLkAGvQ9dherUVialp4W0mokpOezkK1z+JrB8GwVZ0FNKAKESM+Qlhwz6oUZDZebYY/d7fgFm/HsSMH/fC4azI9XKphEGG6ByDW4Zh7yODcVefih6VTIMZSlnNvkcEQYCu3e2IvWU7lDF9IdpKUbDqXmQvHslVg8lt2DNDfsmU+icK1jwCu+EkAEDb9haEDHoLUlXIFV+bW2LB08uOYP72NIgiEKiS4Y1r22F6z4RqC+MR0YU2ny5EhFaJFmEaABXjzE4XlaNLrP6KrxWdDhj3foiijc9CtJdDkAUgqOdT0Hd9CIKs5gv1kf/jbaZzMMw0PTZDKgrXPgLTqd8BAFJNDMKGzUNA82uv+Fqr3Yl5G1Px0opjMFYOZLylayxeH90OMXqVR+smaqxm/rQPn249g9u7xeGVUW0Qq79yr6it+ATyV9wFc8Z6AIA8uBVCBr+LgMThni6XfATDzDkYZpoOp8UIw863YNj5DkSHGZDIoO/yAIJ6PQOJQlejNn7Yk4nJ3+wEAHSL0+O98Sno2+zKPTlEdHEOp4gp3+/Gd7szAABquQSPDGqBx4e0hFZ5+RmEoiii9Mi3KFr/FBymHABAQIuxCO73KhQhyR6vnbyLYeYcDDONn2i3wLj/UxRvmwNneT4AQBU/BKGD37niTCVRFJFhMCMuqOJ/ig6niJGfbsHkzrGY1iOet5SI3GTrmSI8+ttB19pMEVoFnhjaEjP7NIP6CoOEnRYDira8DOOeDwDRAQhS6FLuQFDvZyHTRDdE+eQFDDPnYJhpvESnA2XHFqFo04uwGysGCcqDWyG43ysIaDH+srMgRFHE6hMFeP7vIzhdWI7jTw294j+oRFQ/oihiyYFsPPH7IZwsMAEAZo9ojdkjatbLYi04iKKNz7luIQsyNQK7PAB9t1mQqoI9Vjd5B8PMORhmGh/RYUPpke9QvP112ItPAACkmmgE9X4euvZTLrv4ndMp4rdDOZi78ji2pRcDqOj2Xja9Nwa24HLqRA3B5nDiyx3p+N/6VKy6u49rK4RTBWWI1CqhucLtJ3PGBhRueBqWrC0AAEGhQ2Cnu6Hv8iCkAeEer58aBsPMORhmGg+n3YzSg1/CsONN2EvOAAAkqhDouz6MwC73QyK/9OJ1NocTC/dk4PVVJ3AopxQAoJJJcGevBDw1tBUH9xJ5gSiK1XpQh3y4CfuyjLi7bzPc168ZogIv/X0piiJMJ39F0ZYXYcs/AKCip0bXYQb03R6GTBvr8frJsxhmzsEw4//spZkw7vsYJfs/c42JkQZEQt/tYeg6/AcShfaKbRzJLUG7N9YAqJhmfU/fZnhwQHNE6jjVk8gXFJms6PW/DTiRXwYAUEgluK17HGYNbI62kZcewC+KTphO/YHibXNgzakYvA+JDJpWN0Df5X4oo3o0RPnkAQwz52CY8V+W7O0w7H4fZcd/ApwV06SlugQEdX8E2vZTL7vo3Y70YuxIL8bMvs1cx277bhfaR+lwd59m0Ku5jxKRr3E4RfxyMBtvrjmJLWeKXMcHtwjFc8NbX3aLBFEUUZ72DwzbXnNN5wYAZVQvBHa5H5qWEyBI+X3vTxhmzsEw418c5mKUHV2IkoMLYM3d5TqujO0Pfef7ENBi7CXHxBjNNvywNxOfb03D1rRiyCQCzjx7FaIv01VNRL5pY2oh3lp7Er8ezIZTBL67pSsmd6m4dXT+7anzWXJ3w7j7fZQe+wFwWAEA0oAoaNvdCl37aZAHt2qQ90D1wzBzDoYZ3yeKTpjPrkPJwfkwHV9SsUYMAEgV0LaeiMAu90MZ0eUSrxWx7lQB5m9Lx0/7smCyVey4K5cKmNQpBi+NbINmIdwIkshfpReX48sd6XhscAsoZRUzDt9ccxIrjuXi1m5xmJASfcn1ahxlOTDu/wQl+z5xrVMDVPznSNd+KjStrodErmmQ90G1xzBzDoYZ3ySKImz5+1F67AeUHf3RNbUaAOSh7aFLuQPaNjdBqr78zrtfbEvD9B/2ur5uE6HFtB7xuL17PMfDEDVCoiii1WurcKpyardGIcV1HaJxa7c4DG0ZBulF1oYSHVaYUv9AyYEFKD/zNyA6AVTMgtK0GA9N8kSo44fyNpSPYZg5B8OMb7EWHkXZsR9QduxH2AqPuI4LCh20rSdBlzINisjuF+1CPpFfhkV7MtAyTINJnSu6mwtNVrR9fTXGpURhWo949E4M5i67RI3cqYIyfLMzA9/sOusaMAwAMYEq3NkrAS9efel1a+wlZ1F6+GuUHPwSdsMp13GJOgyaltdBkzwRqtj+EARuJOttDDPnYJjxLlF0wpqzC6ZTv8F06ndY8/e7nhOkSqibjYQmeSICkq65oLtXFEUcyC7Bb4dysGR/FnaeNQAA+jYLxob7+rvOszuc3MGaqAkSRRFbzhTh651nsWhPJorKbZjSPQ7zJ3dxPb/2ZAH6J4Vc8G+EKDphydxc0Tt8/Gc4Tbmu56QBkVAnXQNNizFQJQy77GQD8hyGmXMwzDQ8p80Ec/oqmE79AdOpP+AwZf/7pEQGdcJV0LS+EZoWYyFRXnwX3Sf/OIwf9mTgdFG565hUImBYyzBM6hyDqT3i2QNDRC4WuwPLj+YhVq9C17ggAMCus8Xo/u56hATIMapNBEa1icDVyREI1SiqvVZ02mE+uxalRxfBdGIpnJZi13OCTA11wlUIaDEG6mYjIdNENeC7atoYZs7BMON5ouiENW8vytNWwZy2CuaM9f8O4kXFLSR14nAEJI1GQNI1kKqrr7SbWmDCxtOFuLVbnOvY+Pnb8OvBHKhkEgxrFYYx7aMwISUK4VqOgyGimlmyPwszf9qHvDKr65ggAL0SgjGqTQRu7xaHxPMmCIgOK8wZ62E6+RvKTv0OR0lateflYSlQJwyHOmEYVLH9L7tYJ9UPw8w5GGbcTxRF2A2nUJ6+Gua0lShPXwOnuaDaOTJdIgKaj4a6+WioYwdCkP0bQgrKrFh9Ih8rjudh5fF810C+E08NRfPQiltN608VoNBkw1Wtwq64tDkR0aU4nCI2nS7EsiO5WHYkF3szja7nVt/dB4NaVEwyOJlfBpvTieRwravXVxRFWPP2wnTq94rb5OcsFwFU3CpXxvSrDDYDoIzsCkFavdeH6o5h5hwMM/UnOu2w5u2FOXMTLJmbYM7cBEdZVrVzBIUOqtgBUCcMgzphKOQh7S64DbT0QBZeWXEcuzMNOPdvlEwioHdiMN4Z1x7dKruHiYg84WxxOf46motVx/Px5U1dIK8cS3Pv4v34aNNpRAcqMaRFGAa3DMXA5qFoFaZx/VvmMOWhPH0VytNWovzMP3CUnq3WtiBTQxnVC6rYflDF9ocyujenftcDw8w5GGZqz1GWA0vuLliyt8KcsQmW7G0Q7abqJ0lkUEb3hjp+KNQJw6CM7A5BKofTKeJoXik2pBZiY2oh7uqTiD7NQgBUhJnrFuwAALSP1GFY6zAMbxWOgc1DoVOx94WIvGf6D3vx7a6zsNid1Y6HBsjROzEYP03p7lrnBqhcXqLoKMrP/APz2TUwZ2y8oIcaghSKiM5QRvWEMrIblFE9IA9O5kypGmKYOQfDzOU5TLmw5OyCJXcXrDk7YcndfcH/NgBAogyCMroPVDF9oIzpC2Vkd0jkASgut2H50TzsOFuxfcDOswaUWOyu180e0RqzR1RMkywyWbH8WB4GJIVyY0ci8jlmmwObzxRh9Yl8rDlZgO3pxbDYnUgKCcDJp4e5zntg6QE4nCK6xenRNVaPdpE6yKUCbEVHYD67AebMDTBnbLxgvA1Q0YutjOjmCjeKiM6QBTZjwLkIhplzMMxUEB1W2IqOwpp/ENaCA7AVHIQlbx8cJekXOVuAPCS54pstph9UMX0g6JNxPL8c+7ONSAhSu3pb9mcZ0emttdVerZZL0CshGP2SQjC2XRR6JAR5/g0SEbmZxe7AngwjCk1WjGobCQBwOkWEPv8XDOZ//9OmkErQIVqHLrF6DGwe6prMYDOegSVrKyw5O2DJ2QFrzq4Le7lREXAUoSlQhHWAIrxjxa9hKZAoLr3BZlPAMHOOphZmRIcNdmMqrIVHYM2vCC3WgoOwFR1zbdZYnQB5cGsoIrtW/m+hKxDcAWvSLNifZcSB7BLszzLicG6pq/v19m5xWHBTxToOdocTQz/ejJQoHbrHB6FHfBDaRmi57gsRNUo2hxNLD2Rjy5ki7MkwYFeGoVqwGdE6HH/9p7fr6zsW7UGcXoX2UTqkRASgmSQNzvxdsGRvrwg4hYdc+0edT6ZvDkVoe8hDkiEPaQN5cBvIg1tDqgry9Nv0CQwz52iMYUYUnXCUZsBWdLziUfzvr3ZDKiA6Lvo6QREIRVgKFKHtIQluhxxZSxx1NMeRIiBCq8QdPRMAAOU2B3RP/wnneZ+6RiFFSpQOo9pE4vkRrT39NomIfJ4oikgtNGHX2Ypg0ypMg2mV/5YWlFkRPvvvaufLJAJah2vQPlKHsSlRuLlTJGzFx2DN2wdr/n5Y8/bDmr8fjrLMS15TGhBVEXCCkyt+DWoFmT4J8sBm1WaO+juGmXP4a5hxmItgN56G3XjmnEcqbMYzsBefhGgvv+RrBVkA5MGtIAtpD2V4SmX3ZXs8scqAw7mlOJpXhjNFpmph5fxVda/9bCu0ShlSonXoEBWIDtE6NAsOgOQi+54QEdGFisttWLA9HQeyS3AopwQHs0uqjSm8p28zzLuuAwDAUG5Dq9dWoVWYpiLsBFnRXpmOBMkZBFtPQzAeg63w6GVDDiBAqouDPDAJsqDmkOuTIAtMgjyoBWT6JEhUoX612Ki7f35zmombiXYL7GWZcJRm/vurMa1aeHFaDZdvRCKDXJ8Ea0BzGBSJyEIcTtqicbAsAnuLNUg9Xo7W4VqsG9XP9ZKf9x9FWvG/IShQJUNyuBatwzUXTIn+fXovd75lIqImJ0gtx0MDm7u+FkURZw1mHMgy4mBOKTrH/PsD+nh+GfLLrMgvs2LzmaLKo0oArQG0xsMDZ+KtGe3htBhRnHMIK3duQpyQjhBrKlTmMxBLTkO0lcFRkl4xFjJj3QX1CHINZNo4SHXxkOniINPGQaaLh1QXB5k2FjJdfKMep8MwU0OiwwpHeR4cplw4yrJhL82EozTDFViqwouzPL9m7SnDYVbFwiiLQR6icNYeDqs6DvdcPbRi9LtUjuav/lNtyX/ADqAiCMkk1QeaPT6kJWRSAcnhGiSHaxGpU/pVSici8meCICA+SI34ILVrQHGVDtE67Hx4II7nleFYfilO5JXheH6ZK+TEBFbMAJUoA3FG2haTNuYBaOV6vVYpQYcgK1K0Bbg+yYIewcWwG1JhKT4Fc+FJSM1ZEG1lsBUdha3o6CVrlCj0rnAj1URBGhB5zq/RkGkiIQ2IgqDQ+d3PjyYbZkTRCaeluCKcmPLgLK/41WHK/Te0lOfBacqFw5RbbT+PK3FKFDDLI1EiCYdZEYmOLdtCFtgMssBETFych9XZapSLF05fjtOr8ODkf/8CJ0dooZZLkRQSgGYhAZW/qpFU+ftz3dOvWV3/KIiIyIOUMim6xOrRJfbC/erKLPZqwwIUUgkmdorBmSITTheVI6fEglKLE5tzZNicE4lWbdthRK8WAP7dn0oBK2Jl+WinMyJZY0CSshDR0gK01hQjyJkLR8lZOK2GikeBAbaCg5etV5CpIQ2Iqgg6msiKsKMOg0QVCqk6FBJ1GKTqMEhVFb/3hW0fGkWYcZjyYLVnwWkugtNSCIe5sOL3lb+e+7XD8u9xoHbDhZyQolwajHJZKOJjWkCmiYFUG4NXNpZgV1EAsh0hyHGEotipBVCRauP0KqRNG+5qo1i5AeViEUIC5IjVqxCnVyNWr0KsXoXE4Op/IZbN6A0iImq8zt/SpX2UDgtv6+b6utzmQFpROc4aypFhMFcbNlBmdSBOr0JWiYBUewxSi2LwR9G/bf332nZ4ZHBF8Nlx8ixu/vRXREvzESkrQqKqBHHKEkTLihEmKUKMwgiVPR+i1QjRXg67MRV2Y2qN3oMgU1cEHFVV0AmtDD8hkCiDIVEFQaoMhkQVDIkyCBJVMJx26ZUbroVGEWbSF7SBTlW3LrFyaGFAEMqlIWjfLAnSgAhIA8IxZ0MxDhnVKHDoUeCseBicGoiQIFavQvrd/waUbTs2YKO5CFqlFBGBSrTVKhGpUyJCq0R8UPUemJ9u745AlQwBikbxR09ERB6klkuRHKFFcoT2gucGNA9F2nPD4XCKyCu1IMNoRqbBjEyjGbmlVgxoHuI6t1RUoUjRHCdM8YAFQFn1tqqCj9Nmwq4TRzHz638QJilGuLQY4dIiBElKESkvRbisBC20ZgRLSuAw5wMOK0R7+b/jeWqoxOzeuUeN5idqiaiBwalFkUOLYqcWBqcWEmUwbuqTAqkqBBJlCB748ywOFMlgcFacY3RqYYUcACoCyph/A8ruvZtxpLwUoUFyxAco0ClAjpAABUI1CkTrqk+P+3lKD2gU0hptmhgVyNVxiYjIfaQSAVGBKkQFqlC5pt8FBrcMQ95LI2F3OJFfZkVuqRW5pZbKx7/BRyIPgKhJAsJ74ZjJii3lNhjLqq9j9uaYdpg1qAVEUcT2k2dxw6d/I1hSghCpEcESY8XvJUYESUrRO1pAu2AHnJYiWMoKYTTmQyuUAbj4MiN11SjCTNeML+FUVh+lLZcKaBuhw719B7mOhaceQvsSCwLVcuhVMuhVFb8GqeWI0FbfDfWfmX1qfP0IXeOZ+09ERI2XTCpxBZ9L6ZEQhB0PD3R9bXM4UVxuQ6HJhkKTFXFBagAVg55Dg0IwoU9vGM02GM12GMx2nDXbYDDbYbTYoWvdEsMGVMz62pZWhN7/2wABTgRYCwDc6bb35dV1ZtatW4f//ve/2LlzJ7KysrBkyRKMHz++xq+vmqe+ZOdJxIQFu8KJXi2HSibxu9HYREREjZXJaseR3FIYzXZk5Rfh5j6tG8c6M2VlZejUqROmTZuG66+/vs7tDG0Z5leL5hERETU1AQoZulYOYDZGKC5/ci15NcyMGjUKo0aN8mYJRERE5Of8asyMxWKBxWJxfW0wVCwgZzQavVUSERER1VLVz213jXTxqzAzd+5cvPjiixccj4+P90I1REREVB8FBQXQ6y9cTLC2fGajSUEQrjgA+PyemeLiYiQmJiItLc0tfxj+wmg0Ij4+Hunp6U1qrBDfN993U8D3zffdFBgMBiQkJKCoqAhBQUH1bs+vemaUSiWUygunQev1+ib1l6BKYGAg33cTwvfdtPB9Ny1N9X1LJBL3tOOWVoiIiIi8xKs9M6WlpThx4oTr69TUVOzZswchISFISEjwYmVERETkL7waZnbs2IEhQ4a4vp41axYAYMqUKViwYMEVX69UKjF79uyL3npqzPi++b6bAr5vvu+mgO/bPe/bZwYAExEREdUFx8wQERGRX2OYISIiIr/GMENERER+jWGGiIiI/JpfhpnTp0/jzjvvRFJSEtRqNVq0aIHZs2fDarVWOy8tLQ1jxoyBRqNBWFgYHnjggQvO8Tevvvoq+vbti4CAgEuumigIwgWPjz/+uGELdbOavO/G+Hmfr1mzZhd8tk8++aS3y/KIDz/8EElJSVCpVOjWrRvWr1/v7ZI86oUXXrjgs42KivJ2WW63bt06jBkzBjExMRAEAUuXLq32vCiKeOGFFxATEwO1Wo3Bgwfj4MGD3inWja70vqdOnXrB59+7d2/vFOsmc+fORY8ePaDT6RAREYHx48fj6NGj1c5x1+ftl2HmyJEjcDqd+L//+z8cPHgQ77zzDj7++GM8/fTTrnMcDgdGjx6NsrIybNiwAQsXLsTPP/+MRx55xIuV15/VasWNN96Iu++++7LnzZ8/H1lZWa7HlClTGqhCz7jS+26sn/fFvPTSS9U+22effdbbJbndokWL8NBDD+GZZ57B7t27MWDAAIwaNQppaWneLs2j2rdvX+2z3b9/v7dLcruysjJ06tQJ8+bNu+jzb7zxBt5++23MmzcP27dvR1RUFIYPH46SkpIGrtS9rvS+AWDkyJHVPv8///yzASt0v7Vr1+Lee+/Fli1bsGLFCtjtdowYMQJlZWWuc9z2eYuNxBtvvCEmJSW5vv7zzz9FiUQiZmRkuI59//33olKpFA0GgzdKdKv58+eLer3+os8BEJcsWdKg9TSUS73vxv55V0lMTBTfeecdb5fhcT179hRnzpxZ7VibNm3EJ5980ksVed7s2bPFTp06ebuMBnX+v1VOp1OMiooSX3vtNdcxs9ks6vV68eOPP/ZChZ5xsX+jp0yZIo4bN84r9TSU3NxcEYC4du1aURTd+3n7Zc/MxRgMBoSEhLi+3rx5M1JSUhATE+M6dvXVV8NisWDnzp3eKLFB3XfffQgLC0OPHj3w8ccfw+l0erskj2pKn/frr7+O0NBQdO7cGa+++mqju5VmtVqxc+dOjBgxotrxESNGYNOmTV6qqmEcP34cMTExSEpKwuTJk3Hq1Clvl9SgUlNTkZ2dXe2zVyqVGDRoUKP/7AFgzZo1iIiIQOvWrTFjxgzk5uZ6uyS3MhgMAOD6We3Oz9uvNpq8lJMnT+L999/HW2+95TqWnZ2NyMjIaucFBwdDoVAgOzu7oUtsUC+//DKGDRsGtVqNlStX4pFHHkF+fn6jvB1Rpal83g8++CC6du2K4OBgbNu2DU899RRSU1Px2Wefebs0t8nPz4fD4bjg84yMjGxUn+X5evXqha+++gqtW7dGTk4OXnnlFfTt2xcHDx5EaGiot8trEFWf78U++zNnznijpAYzatQo3HjjjUhMTERqaiqee+45DB06FDt37mwUqwOLoohZs2ahf//+SElJAeDez9unemYuNgDu/MeOHTuqvSYzMxMjR47EjTfeiOnTp1d7ThCEC64hiuJFj3tTXd735Tz77LPo06cPOnfujEceeQQvvfQS/vvf/3rwHdSNu9+3v3ze56vNn8PDDz+MQYMGoWPHjpg+fTo+/vhjfP755ygoKPDyu3C/8z83f/gs62PUqFG4/vrr0aFDB1x11VX4448/AABffvmllytreE3tsweASZMmYfTo0UhJScGYMWOwbNkyHDt2zPX3wN/dd9992LdvH77//vsLnnPH5+1TPTP33XcfJk+efNlzmjVr5vp9ZmYmhgwZgj59+uCTTz6pdl5UVBS2bt1a7VhRURFsNtsFKdDbavu+a6t3794wGo3IycnxqffuzvftT5/3+erz51A12+HEiRON5n/vYWFhkEqlF/TC5Obm+vxn6U4ajQYdOnTA8ePHvV1Kg6mavZWdnY3o6GjX8ab22QNAdHQ0EhMTG8Xnf//99+PXX3/FunXrEBcX5zruzs/bp8JMWFgYwsLCanRuRkYGhgwZgm7dumH+/PmQSKp3MvXp0wevvvoqsrKyXH9Iy5cvh1KpRLdu3dxee33U5n3Xxe7du6FSqS45pdlb3Pm+/enzPl99/hx2794NANX+IfB3CoUC3bp1w4oVKzBhwgTX8RUrVmDcuHFerKxhWSwWHD58GAMGDPB2KQ0mKSkJUVFRWLFiBbp06QKgYgzV2rVr8frrr3u5uoZVUFCA9PR0v/7eFkUR999/P5YsWYI1a9YgKSmp2vPu/Lx9KszUVGZmJgYPHoyEhAS8+eabyMvLcz1XlfRGjBiBdu3a4bbbbsN///tfFBYW4tFHH8WMGTMQGBjordLrLS0tDYWFhUhLS4PD4cCePXsAAC1btoRWq8Vvv/2G7Oxs9OnTB2q1GqtXr8YzzzyD//znP3593/VK77uxft7n2rx5M7Zs2YIhQ4ZAr9dj+/btePjhhzF27FgkJCR4uzy3mjVrFm677TZ0797d1fOalpaGmTNners0j3n00UcxZswYJCQkIDc3F6+88gqMRqPfL6twvtLSUpw4ccL1dWpqKvbs2YOQkBAkJCTgoYcewpw5c9CqVSu0atUKc+bMQUBAAG6++WYvVl1/l3vfISEheOGFF3D99dcjOjoap0+fxtNPP42wsLBqgd7f3Hvvvfjuu+/wyy+/QKfTuXpb9Xo91Go1BEFw3+ftnglXDWv+/PkigIs+znXmzBlx9OjRolqtFkNCQsT77rtPNJvNXqraPaZMmXLR97169WpRFEVx2bJlYufOnUWtVisGBASIKSkp4rvvvivabDbvFl5PV3rfotg4P+9z7dy5U+zVq5eo1+tFlUolJicni7NnzxbLysq8XZpHfPDBB2JiYqKoUCjErl27uqZzNlaTJk0So6OjRblcLsbExIjXXXedePDgQW+X5XarV6++6PfylClTRFGsmK47e/ZsMSoqSlQqleLAgQPF/fv3e7doN7jc+zaZTOKIESPE8PBwUS6XiwkJCeKUKVPEtLQ0b5ddL5f6OT1//nzXOe76vIXKCxIRERH5JZ+azURERERUWwwzRERE5NcYZoiIiMivMcwQERGRX2OYISIiIr/GMENERER+jWGGiIiI/BrDDBF5zQsvvIDOnTt7uwwi8nNcNI+IPOJKu95OmTIF8+bNg8ViaTSbZBKRdzDMEJFHnLvr9aJFi/D888/j6NGjrmNqtRp6vd4bpRFRI8PbTETkEVFRUa6HXq+HIAgXHDv/NtPUqVMxfvx4zJkzB5GRkQgKCsKLL74Iu92Oxx57DCEhIYiLi8MXX3xR7VoZGRmYNGkSgoODERoainHjxuH06dMN+4aJyGsYZojIp6xatQqZmZlYt24d3n77bbzwwgu49tprERwcjK1bt2LmzJmYOXMm0tPTAQAmkwlDhgyBVqvFunXrsGHDBmi1WowcORJWq9XL74aIGgLDDBH5lJCQEPzvf/9DcnIy7rjjDiQnJ8NkMuHpp59Gq1at8NRTT0GhUGDjxo0AgIULF0IikeCzzz5Dhw4d0LZtW8yfPx9paWlYs2aNd98METUImbcLICI6V/v27SGR/Pv/rMjISKSkpLi+lkqlCA0NRW5uLgBg586dOHHiBHQ6XbV2zGYzTp482TBFE5FXMcwQkU+Ry+XVvhYE4aLHnE4nAMDpdKJbt2749ttvL2grPDzcc4USkc9gmCEiv9a1a1csWrQIERERCAwM9HY5ROQFHDNDRH7tlltuQVhYGMaNG4f169cjNTUVa9euxYMPPoizZ896uzwiagAMM0Tk1wICArBu3TokJCTguuuuQ9u2bXHHHXegvLycPTVETQQXzSMiIiK/xp4ZIiIi8msMM0REROTXGGaIiIjIrzHMEBERkV9jmCEiIiK/xjBDREREfo1hhoiIiPwawwwRERH5NYYZIiIi8msMM0REROTXGGaIiIjIrzHMEBERkV/7f9/dR7/gisZOAAAAAElFTkSuQmCC", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "plt.plot(t_arr, A_ps_arr, label=r\"Point Source\", ls='--')\n", - "plt.plot(t_arr, A_fs_arr, label=r\"$\\rho = $\" + ' ' + str(rho))\n", - "\n", - "\n", - "plt.ylim(1,6)\n", - "# plt.ylim(5,50)\n", - "\n", - "plt.xlim(-20,20)\n", - "# plt.xlim(-2,2)\n", - "\n", - "\n", - "plt.xlabel(\"Time\")\n", - "plt.ylabel(\"Magnification\")\n", - "plt.legend()\n", - "# plt.savefig(\"figures/ps_fs_magnification.pdf\")\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] } ], "metadata": { diff --git a/nbs/00_pbh.ipynb b/nbs/00_pbh.ipynb index ba0e07e..fadcf87 100644 --- a/nbs/00_pbh.ipynb +++ b/nbs/00_pbh.ipynb @@ -12,7 +12,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 1, "metadata": {}, "outputs": [], "source": [ @@ -31,7 +31,7 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": 3, "metadata": {}, "outputs": [], "source": [ @@ -61,7 +61,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 4, "metadata": {}, "outputs": [], "source": [ @@ -71,333 +71,7 @@ }, { "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [], - "source": [ - "def A_ps(u):\n", - " return (u**2 + 2) / (u * (u**2 + 4)**(1/2))\n", - "\n", - "def f_func(x):\n", - " return (2 + x)/(x*(4+x))**(0.5) - 1\n", - "\n", - "def t_fwhm_gondolo(t_e, umin):\n", - " deltab = f_func(umin**2)\n", - " bw2 = 2* f_func(deltab)\n", - " w_b = 2*(bw2 - umin**2)**(1/2)\n", - " return w_b * t_e\n", - "\n", - "def t_E_from_t_fwhm(t_fwhm, umin):\n", - " deltab = f_func(umin**2)\n", - " bw2 = 2* f_func(deltab)\n", - " w_b = 2*(bw2 - umin**2)**(1/2)\n", - " return t_fwhm / w_b\n", - "\n", - "def ellip(phi, m):\n", - " return quad(lambda x: np.sqrt(1 - m**2*np.sin(x)**2), 0, phi)[0]\n", - "\n", - "def theta_max(u, rho):\n", - " if u <= rho:\n", - " return np.pi/2\n", - " else:\n", - " return np.arcsin(rho/u)\n", - "\n", - "def A_gould(u, rho):\n", - " return A_ps(u) * 4*u / (np.pi * rho) * ellip(theta_max(u, rho), u/rho)\n", - "\n", - "def f_func_finite(u, rho):\n", - " return A_gould(u, rho) - 1\n", - "\n", - "def t_fwhm_gondolo(t_e, umin):\n", - " deltab = f_func(umin**2)\n", - " bw2 = 2* f_func(deltab)\n", - " w_b = 2*(bw2 - umin**2)**(1/2)\n", - " return w_b * t_e\n", - "\n", - "def t_fwhm_gondolo_finite(t_e, umin, rho):\n", - " func = lambda b: f_func_finite(b,rho) - f_func_finite(umin**2,rho)*0.5\n", - " bw = fsolve(func,1)[0]\n", - " w_b = 2*(bw**2 - umin**2)**(1/2)\n", - " return w_b * t_e\n", - "\n", - "# def t_E_from_t_fwhm_finite(t_fwhm, umin, rho):\n", - "# if rho >=10:\n", - "# return t_fwhm/rho/2\n", - "# func = lambda b: f_func_finite(b,rho) - f_func_finite(umin**2,rho)*0.5\n", - "# bw = fsolve(func,1)[0]\n", - "# w_b = 2*(bw**2 - umin**2)**(1/2)\n", - "# return t_fwhm / w_b\n", - "\n", - "def t_E_from_t_fwhm_finite(t_fwhm, umin, rho):\n", - " if rho >=1:\n", - " return t_fwhm/rho/2\n", - " return t_E_from_t_fwhm(t_fwhm, umin)\n", - "\n", - "def magnification_finite_new(u, rho):\n", - " integrand = lambda r, theta: integrand_polar(r, theta, u)\n", - " result, _ = nquad(integrand, [[0, rho], [0, 2 * np.pi]])\n", - " return result / (np.pi * rho**2)\n", - "\n", - "def t_fwhm(t_e, umin, finite, rho=None, ut=1):\n", - " if not finite:\n", - " return t_fwhm_gondolo(t_e, umin)\n", - " else:\n", - " Amax = 1 + 1/rho\n", - " # u_fwhm = ut_func_new(rho, 1+(1-Amax)/2)[0]\n", - " u_fwhm = u_fwhm_interp([rho, umin])[0]\n", - " if u_fwhm<=umin:\n", - " return 0\n", - " return 2*(u_fwhm**2 - umin**2)**(1/2) * t_e\n", - " \n", - "def t_e_from_fwhm(t_fwhm, umin, finite, rho=None, ut=1):\n", - " if not finite:\n", - " return t_fwhm / t_fwhm_gondolo(1, umin)\n", - " else:\n", - " # Amax = 1 + 1/rho\n", - " # u_fwhm = ut_func_new(rho, 1+(1-Amax)/2)[0]\n", - " # u_fwhm = fast_u_fwhm_func(rho, umin)\n", - " u_fwhm = u_fwhm_interp([rho, umin])[0]\n", - " if u_fwhm<=umin:\n", - " print('u_fwhm<=umin')\n", - " return 1e-3\n", - " return t_fwhm / (2*(u_fwhm**2 - umin**2)**(1/2))\n", - " \n", - "def u_fwhm_func(rho, umin):\n", - " Amax = magnification_finite_new(umin, rho)\n", - " func = lambda u: magnification_finite_new(u, rho) - (1+(1-Amax)/2)\n", - " return fsolve(func, 1, xtol=1e-2)[0]\n", - "\n", - "def t_duration(t_e, umin, finite, rho=None, ut=1):\n", - " if not finite:\n", - " return 2*(ut**2 - umin**2)**(1/2) * t_e\n", - " else:\n", - " if ut_func_new(rho, 1.34)[0] <= umin:\n", - " return 0\n", - " return (2*(ut_func_new(rho, 1.34)**2 - umin**2)**(1/2) * t_e)[0]\n" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "u_vals = np.logspace(-2, 1, 100)\n", - "rho_vals = np.logspace(-2, 1, 100)\n", - "z_vals = np.array([[magnification_finite_new(u, rho) for u in u_vals] for rho in rho_vals])" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "# mag_finite_interp = RegularGridInterpolator((rho_vals, u_vals), z_vals, method='linear', bounds_error=False, fill_value=None)\n", - "\n", - "def fast_magnification_finite_new(u, rho):\n", - " return mag_finite_interp([float(rho), float(u)])\n", - " \n", - "def fast_u_fwhm_func(rho, umin):\n", - " Amax = fast_magnification_finite_new(umin, rho)\n", - " if Amax<1:\n", - " return 0\n", - " func = lambda u: fast_magnification_finite_new(u, rho) - (1+(Amax-1)/2)\n", - " return fsolve(func, 1)" - ] - }, - { - "cell_type": "code", - "execution_count": 1252, - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_35054/3382273810.py:4: DeprecationWarning: Conversion of an array with ndim > 0 to a scalar is deprecated, and will error in future. Ensure you extract a single element from your array before performing this operation. (Deprecated NumPy 1.25.)\n", - " return mag_finite_interp([float(rho), float(u)])\n" - ] - } - ], - "source": [ - "# z_u_vals = np.array([[fast_u_fwhm_func(rho, u) for u in u_vals] for rho in rho_vals])\n", - "# u_fwhm_interp = RegularGridInterpolator((rho_vals, u_vals), z_u_vals, method='linear', bounds_error=False, fill_value=None)\n" - ] - }, - { - "cell_type": "code", - "execution_count": 1279, - "metadata": {}, - "outputs": [], - "source": [ - "umin_arr = np.logspace(-1, 0.4, 100)\n", - "rho= 1\n", - "fast_Amax_arr = np.array([fast_magnification_finite_new(umin, rho) for umin in umin_arr])\n", - "\n", - "fast_uhm_arr = np.array([u_fwhm_interp([rho, umin]) for umin in umin_arr])\n", - "ut_arr = np.array([ut_func_new(1.2, Amax) for Amax in fast_Amax_arr])\n", - "uhm_arr = np.array([ut_func_new(1.2, 1+(Amax-1)/2) for Amax in fast_Amax_arr])\n", - "uhm_point_arr = np.array([(2* f_func(f_func(umin**2)))**(1/2) for umin in umin_arr])" - ] - }, - { - "cell_type": "code", - "execution_count": 1280, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# plt.plot(umin_arr, Amax_arr)\n", - "plt.plot(umin_arr, fast_Amax_arr)\n", - "plt.axhline(1.34, color='k', linestyle='--')\n", - "plt.xlabel(r'$u_{\\rm min}$')\n", - "plt.ylabel(r'$A_{\\rm max}$')\n", - "plt.title(r'$\\rho = $' + str(rho))\n", - "plt.xscale('log')\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 1402, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "plt.figure(figsize=(10,5))\n", - "plt.subplot(121)\n", - "\n", - "rho= 0.01\n", - "fast_uhm_arr = np.array([u_fwhm_interp([rho, umin])[0] for umin in umin_arr])\n", - "uhm_point_arr = np.array([(2* f_func(f_func(umin**2)))**(1/2) for umin in umin_arr])\n", - "fast_Amax_arr = np.array([fast_magnification_finite_new(umin, rho) for umin in umin_arr])\n", - "ut_arr = np.array([ut_func_new(rho, Amax) for Amax in fast_Amax_arr])\n", - "plt.plot(umin_arr, fast_uhm_arr, label='uhm finite')\n", - "plt.plot(umin_arr, uhm_point_arr, label='uhm point')\n", - "plt.plot(umin_arr, ut_arr, label='ut')\n", - "\n", - "plt.xlabel(r'$u_{min}$')\n", - "plt.ylabel(r'$u_{hm}$')\n", - "plt.title(r'$\\rho = $ ' + str(rho))\n", - "plt.xscale('log')\n", - "plt.yscale('log')\n", - "plt.legend()\n", - "\n", - "plt.subplot(122)\n", - "rho= 1.5\n", - "fast_uhm_arr = np.array([u_fwhm_interp([rho, umin])[0] for umin in umin_arr])\n", - "uhm_point_arr = np.array([(2* f_func(f_func(umin**2)))**(1/2) for umin in umin_arr])\n", - "fast_Amax_arr = np.array([fast_magnification_finite_new(umin, rho) for umin in umin_arr])\n", - "ut_arr = np.array([ut_func_new(rho, Amax) for Amax in fast_Amax_arr])\n", - "plt.plot(umin_arr, fast_uhm_arr, label='uhm finite')\n", - "plt.plot(umin_arr, uhm_point_arr, label='uhm point')\n", - "plt.plot(umin_arr, ut_arr, label='ut')\n", - "\n", - "plt.xlabel(r'$u_{min}$')\n", - "plt.title(r'$\\rho = $ ' + str(rho))\n", - "plt.xscale('log')\n", - "plt.yscale('log')\n", - "plt.show()\n" - ] - }, - { - "cell_type": "code", - "execution_count": 1429, - "metadata": {}, - "outputs": [], - "source": [ - "rho = 2.1\n", - "# rho = 0.01\n", - "\n", - "ut = 1\n", - "umin_arr = np.logspace(np.log10(0.01), np.log10(2), 100)\n", - "tfwhm_arr = np.array([t_fwhm(10, umin, True, rho, ut_func_new(rho, 1.34)) for umin in umin_arr])\n", - "tfwhm_arr_point = np.array([t_fwhm(10, umin, False, rho, ut_func_new(rho, 1.34)) for umin in umin_arr])\n", - "t_duration_arr = np.array([t_duration(10, umin, True, rho, 1) for umin in umin_arr])\n", - "\n", - "rho_arr = np.linspace(0.01, 3, 100)\n", - "tfwhm_arr2 = np.array([t_fwhm(10, 0.1, True, rho, ut_func_new(rho, 1.34)) for rho in rho_arr])\n", - "tfwhm_arr_point2 = np.array([t_fwhm(10, 0.1, False, rho, ut_func_new(rho, 1.34)) for rho in rho_arr])\n", - "t_duration_arr2 = np.array([t_duration(10, 0.1, True, rho, 1) for rho in rho_arr])" - ] - }, - { - "cell_type": "code", - "execution_count": 1430, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "plt.figure(figsize=(10,5))\n", - "plt.subplot(121)\n", - "plt.title('t_e = 10, rho = {}'.format(rho))\n", - "\n", - "plt.plot(umin_arr, tfwhm_arr, label='fwhm finite')\n", - "plt.plot(umin_arr, tfwhm_arr_point, label = 'fwhm point', linestyle='--')\n", - "plt.plot(umin_arr, t_duration_arr, label='duration', linestyle='--')\n", - "plt.ylabel(r'$t$')\n", - "plt.xlabel(r'$u_{\\rm min}$')\n", - "# plt.xscale('log')\n", - "plt.legend()\n", - "plt.subplot(122)\n", - "plt.plot(rho_arr, tfwhm_arr2)\n", - "plt.plot(rho_arr, tfwhm_arr_point2, linestyle='--')\n", - "plt.plot(rho_arr, t_duration_arr2, linestyle='--')\n", - "plt.title(r't_e = 10, u_min = 0.1')\n", - "plt.xlabel(r'$\\rho$')\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - }, - { - "cell_type": "code", - "execution_count": 1620, - "metadata": {}, - "outputs": [], - "source": [ - "from scipy.integrate import quad_vec" - ] - }, - { - "cell_type": "code", - "execution_count": 29, + "execution_count": 8, "metadata": {}, "outputs": [], "source": [ @@ -469,15 +143,9 @@ "\n", " if t_duration > tmax or t_duration < tmin:\n", " return 0 \n", - " elif t_fwhm:\n", - " # if finite:\n", - " # t_E = t_E_from_t_fwhm_finite(t, umin, rho_func(self.mass, d, self.ds))\n", - " # else:\n", - " # t_E = t_E_from_t_fwhm(t, umin)\n", - " t_E = t_e_from_fwhm(t, umin, finite, rho_func(self.mass, d, self.ds), ut)\n", - " # t_E = t_e_from_fwhm(t, umin, True, rho_func(self.mass, d, self.ds), ut)\n", - "\n", - " v_rad = einstein_rad(d, self.mass, self.ds) * kpctokm / (t_E * htosec)\n", + " # elif t_fwhm:\n", + " # t_E = t_e_from_fwhm(t, umin, finite, rho_func(self.mass, d, self.ds), ut)\n", + " # v_rad = einstein_rad(d, self.mass, self.ds) * kpctokm / (t_E * htosec)\n", " else:\n", " #Calculate radial velocity in terms of event duration (t_fwhm)\n", " v_rad = velocity_radial(d, self.mass, umin, t * htosec, ut) \n", @@ -498,27 +166,6 @@ " return self.differential_rate_integrand(umin, d, t, self.m31_model, finite=finite)\n", " \n", " def differential_rate(self, t, integrand_func, finite=False, epsabs=1.49e-08, epsrel=1.49e-08):\n", - " # if finite:\n", - " # result, error = dblquad(integrand_func, \n", - " # 0, self.d_upper_bound(),\n", - " # lambda d: 0, \n", - " # lambda d: self.umin_upper_bound(d),\n", - " # args=[t],\n", - " # epsabs=0,\n", - " # epsrel=1e-1,\n", - " # )\n", - " # else:\n", - " # result, error = dblquad(integrand_func,\n", - " # #Without finite size effects, integral blows up at M31 center\n", - " # 0, self.ds*0.99,\n", - " # # 0, self.d_upper_bound(),\n", - " # lambda d: 0, \n", - " # lambda d: self.u_t,\n", - " # args=[t],\n", - " # epsabs=0,\n", - " # epsrel=1e-1,\n", - " # )\n", - " # return result\n", "\n", " def inner_integrand(u, d, t):\n", " return integrand_func(u, d, t)\n", @@ -540,32 +187,6 @@ " return result\n", "\n", " def rate_total(self, integrand_func, finite=True, tcad=0.07, tobs=3, epsabs = 1.49e-08, epsrel = 1.49e-08, efficiency=None): \n", - " \n", - " # if efficiency is None:\n", - " # def efficiency(t):\n", - " # return 1\n", - " \n", - " # point = self.sticking_point()\n", - "\n", - " # def integrand(t, d, finite):\n", - " # if finite:\n", - " # u_bounds = [0, self.umin_upper_bound(d)]\n", - " # else:\n", - " # u_bounds = [0, self.u_t]\n", - " # u_result, _ = nquad(integrand_func, [u_bounds], args=(d, t))\n", - " # return u_result * efficiency(t)\n", - "\n", - " # bounds_t = [tcad, tobs]\n", - "\n", - " # if finite:\n", - " # bounds_d = [0, min(self.d_upper_bound(), self.ds)]\n", - " # else:\n", - " # bounds_d = [0, self.ds]\n", - "\n", - " # opts = {\"epsabs\": epsabs, \"epsrel\": epsrel, \"points\":[point, self.ds]}\n", - "\n", - " # result, error = nquad(integrand, [bounds_t, bounds_d], args=[finite], opts=opts)\n", - " # return result\n", "\n", " # Innermost double integral\n", " def inner_integrand(u, d, t):\n", @@ -712,55 +333,56 @@ }, { "cell_type": "code", - "execution_count": 55, + "execution_count": 9, + "metadata": {}, + "outputs": [], + "source": [ + "m_lens = 3e-6\n", + "# pbh = Pbh(m_lens, 1, l=l, b=b, ds=ds)\n", + "pbh = Pbh(m_lens, 1, l=1.0, b=-1.03, ds=8.5, lognorm=True, sigma=0.1, u_t=1)\n", + "ts = np.logspace(-2,1,50)" + ] + }, + { + "cell_type": "code", + "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "1.009997124512126" + "1.9830818245332607e-08" ] }, - "execution_count": 55, + "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "magnification(3.5)" + "pbh.differential_rate_mw_lognorm(1, finite=True)" ] }, { "cell_type": "code", - "execution_count": 82, + "execution_count": 83, "metadata": {}, "outputs": [], "source": [ - "rho_arr = np.logspace(-2, 0.5, 100)\n", - "A_t = 1.34\n", - "my_ut_arr = np.array([ut_func_new(rho, A_t) for rho in rho_arr])\n", - "j_ut_arr = np.array([max(1, 2*rho) for rho in rho_arr])\n", - "j_ut_alt_arr = np.array([max(3, 2*rho) for rho in rho_arr])\n" + "def opt_depth_integrand(d):\n", + " return (pbh.mw_model.density_dm(d, l, b) + pbh.m31_model.density_dm(d, l, b))/pbh.mass * np.pi * einstein_rad(d, pbh.mass)**2\n", + "d_arr = np.logspace(-3, np.log10(ds*0.99), 1000)\n", + "opt_depth_arr = np.array([quad(opt_depth_integrand, 0, d)[0] for d in d_arr])" ] }, { "cell_type": "code", - "execution_count": 85, + "execution_count": 84, "metadata": {}, "outputs": [ { "data": { - "text/plain": [ - "Text(0, 0.5, '$u_{\\\\rm T}$')" - ] - }, - "execution_count": 85, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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", 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fuj5yceG2k86GsgMAqFb5hflKy0pTamaqTmWd0qlzp5R6LlWnzpX+OfVcqtKy0nQ252yVPs+nrs+FUuJ18YJSUmi8/vdzQ6+GcnVxtc8XhukoOwCAKisqLlJqZqpOZJzQr2d/1YmMEyWPlIyU/5WZrFOVLi/edb1LFZIyheUiZaahV0Onvmowqgf/AgAAl2QYhtKy0pSUnqTkM8mli8zZE/o148Lr1MxUFRvF5Z6vi81F/vX91cS7iRrXb6zGDRqrSYMmpZ5/e/jV81Mjr0ZcPwaVRtkBgFrsXO45HUs/pqT0JB1LP6ZjZ44p6XTShef/FpzcgtxyzcvF5qIm3k3UzKeZAn0C1axhswsH53o3LSk1vz371vPl2BZUG8oOAFhYbkGujqYd1c9pP+vnU/99pP2sxLREJaUnlWuXks1mU1PvpmrRqIUCGwaqmc+FEvP7n5v5NFMT7yYc5wKnRNkBgBouPTtdh1MO68ipI6UKzc+nftbxs8evOH1Dr4YK9g1WUKMgBfkGXfj5t+dGQWreqLnquNWphm8COIZlyg4XFQRgZfmF+frp1E86lHJIh08e1qGUQzp08pAOpRxSWlbaZaet71FfVzW+Sm0at7nw8G+j1v6t1dKvpYJ8g9TAs0E1fQvAHFxUEACcSFZulg6cOKD9x/frh19/KCk1iWmJpe5u/UfNGzbX1QFXXyg1/m1KFRu/+n5cvA5Oj4sKAoDF5BXk6dDJQ9p/fP+Fx68XnhPTEi85TX2P+moX0E7tm7ZX+4D2at+0vdoFtFO7gHaq71m/GtMDNQtlBwAcLO1cmvYc26M9SXu0O2m39iXv0+HUwyosKrzo+AHeAercvLM6BXZSx6YdSwpOYMNAttAAlUDZAQA7MQxDyWeStTtpt/Yk/a/cJJ9Jvuj4PnV91Ll5Z3UO7Hzh+b8Fp3GDxtWcHLA2yg4AVFJqZqq+TvxaX//8tb45+o12J+3W6azTFx23bZO26hHUQz1b9lS3Ft3UpXkXNW/UnC01QDWg7ABAOeQW5GpP0p6ScvN14tcXPb7G1cVVIc1C1DO4p3oE91CP4B7qHtRd3nU5YQIwC2UHAC4iOT1Z8T/GK+GnBH3181f6Lvk7FRQVlBmvY7OO6tO6j/q07qNerXqpc/PO8nT3NCExgEuh7ACo9QzD0OGTh7Xj8A7F/xiv+B/jdfT00TLjNW7QuKTY9GnTR2GtwtTQq2G15wVQMZYpO1xUEEB5FRcX67vk7/TZ4c8U/2O8Pv/xc6WeSy01jovNRd2Dumvg1QPVt3Vf9WnTR639W3OMDVADcVFBAJZnGIaOpB7RJwc/0Sf/+UTbDm0rcyCxh5uHerfurcFXD9agqwep31X9OM4GqEZcVBAAKiglI6Wk3Hxy8BMlpSeVer++R30NvHpgSbkJaxUmD3cPk9ICcCTKDgBLyC/M1+c/fq5N+zdp0/5N+uHXH0q97+7qrn5X9dN1Ha7TdR2vU+9WveXu5m5SWgDVibIDoMZKTk/Wpv2b9NG+j7T14FZl5WWVvGez2dQjqIeu63idrutwnQZePVD1POqZmBaAWSg7AGqMgsICJfyUoI/2faRN+zdp3/F9pd4P8A7QsE7DFNElQtd3vF5+9f1MSgrAmVB2ADi17Lxsbflhi2L3xurD7z7UmZwzJe+52FzUp00fDe88XBFdItQjqIdcXFxMTAvAGVF2ADidtHNp2vj9RsXujdWWA1t0Pv98yXv+9f0V0TlCEZ0jFN4pnK03AK6IsgPAKSSdTtL6PesVuzdWOw7vULFRXPJeK79WGttjrMb0GKMBbQfI1cXVxKQAahrKDgDTnDh7Qut2rdO7O99Vwk8Jpd7rHtRdY7qP0ZgeY9S1RVcu5geg0ig7AKpV2rk0vb/7fcXsjNH2w9v123VNbTabBrYdqJt63qTR3UardePWJicFYBWUHQAOdzbnrGL3xCrm2xjFHYhTUfH/buvSt01fTQiboPGh49W8UXMTUwKwKsuUHe6NBTiXwqJCbf5hs15PeF0bvtugvMK8kvd6BvfUhLAJuqXXLWrl38q8kABqBe6NBcCuvjv2nV5PeF1vff1WqZtrhjQL0W29b9OEsAm6OuBqExMCcEbcGwuAU0vJSNHbX7+t1798Xd8nf18yvHGDxrqjzx2a1G+Sugd15yBjAKag7AColKLiIm35YYuid0Trw+8/LDkOp45bHY3sOlKT+0/WsE7DuP8UANNRdgBUSHJ6sl794lWt+nxVqTuJ92ndR5P7T9aEsAnyredrYkIAKI2yA+CKCosK9dG+j7QyfqU+2vdRyQX/Gnk10qR+kzRt0DR1bt7Z5JQAcHGUHQCXdDLzpKJ3RGvFZyt0/OzxkuHXtLtG9wy6R+NCx8nT3dPEhABwZZQdAKUYhqFvEr/RS5++pLXfrlVBUYGkC/ekmtJ/iqYNmqb2TdubnBIAyo+yA0CSlFuQq7U71+qlT1/St798WzK8b5u+evjahzWu5zh5uHuYmBAAKoeyA9Ryv579VZHbIhW9I1ppWWmSJA83D90adqseuvYh9WrVy+SEAFA1lB2gltp/fL+e2/Kc3vr6rZJdVS0atdADf3pA0wZNU+MGjU1OCAD2QdkBahHDMPTpfz7V4i2L9fH+j0uGD2w7UDOun6HR3UfLzZVfCwCshd9qQC1QUFigtd+u1eIti7X32F5JkovNRTf1vEmzb5itvlf1NTcgADgQZQewsJy8HK2MX6nn4p7TsfRjkiSvOl66a8BdmnH9DF3V5CqTEwKA41F2AAvKPJ+p5duX67m453Tq3ClJUoB3gB6+9mFNv2a6/Or7mZwQAKoPZQewkPTsdL34yYt64ZMXdDbnrCSptX9rPTrsUU3uP5kLAAKolSxTdiIjIxUZGamioiKzowDV7mTmST2/5XlFbY9SVl6WJKl90/aaP3y+but9GwcdA6jVbIZhGGaHsKfMzEz5+PgoIyND3t7eZscBHCo1M1XPbHpGyz9brtyCXElS1xZd9bcb/6abet4kVxdXkxMCQPk4cv3Nf/eAGig9O13Pbn5WL37yonLycyRJvVv31t9u/JtGdB0hm81mckIAcB6UHaAGycjJ0JKtS7Rk6xJlns+UJPVq2UtPjHlCQzsNpeQAwEVQdoAaICs3S8u2LdOijxfpTM4ZSRd2Vz0x+gmN7DaSkgMAl0HZAZxYfmG+lm9frqc+eqrkFPKOzTpqwagFGtdznFxcXExOCADOj7IDOKHi4mKt/Xat5sfO18+nfpYktW3SVo+PfFy39b6NA48BoAIoO4CT2fafbZqzbo6+/eVbSVIzn2b6x6h/aGr/qXJ3czc5HQDUPJQdwEnsS96nR99/VJv2b5IkNfBsoDlD52jmDTNVz6OeyekAoOai7AAmS05P1mP/ekyvf/m6DMOQm6ubpg+ersdGPKYm3k3MjgcANR5lBzBJTl6OFm9ZrGc+fkbn889LksaHjtdTY5/S1QFXm5wOAKyDsgNUM8Mw9N637+mv6/6qpPQkSdLAtgO1ePxi9WnTx+R0AGA9lB2gGu1J2qNH3n1E8T/GS5KCfIO0+ObFGt9rPNfKAQAHoewA1SA1M1XzY+dr1eerZBiG6tapq7nD5uov4X+Rl4eX2fEAwNIoO4ADFRQW6KVPX9KCjQtKbu9we+/b9cy4ZxTkG2RyOgCoHSg7gIN8/uPnuv+t+7X/+H5JF+5h9cKtL6h/2/4mJwOA2oWyA9jZqXOnNGfdHK1OWC1J8qvvp3/e9E9NHTCV2zsAgAkoO4CdFBcXa2X8Ss37YF7JzTrvHXyvnh77tPzq+5mcDgBqL8oOYAe7f9mt+9+6X98kfiNJ6h7UXcvvWK6+V/U1ORkAgLIDVMG53HOav36+IrdFqtgolnddbz05+knd/6f75ebK4gUAzoDfxkAl/fv7f2v6m9OVfCZZ0oWzrBaPX6xmDZuZnAwA8HuWKTuRkZGKjIxUUVGR2VFgcamZqXrk3Uf07s53JUltGrfRijtX6PqQ601OBgC4GJthGIbZIewpMzNTPj4+ysjIkLe3t9lxYCGGYeiNL9/QzLUzlZ6dLhebi2bdMEsLRi3gwoAAUEWOXH9bZssO4EhH047qvjfu05YDWyRJ3Vp006opqxTaMtTkZACAK6HsAJdRVFyklz59SfPXz1dOfo483Dz0j1H/0OwbZsvdzd3seACAcqDsAJdwJPWIpr42VZ8f+VySdE27axQ9MVrtmrYzORkAoCIoO8AfFBcXK2p7lB59/1Hl5Oeovkd9LR6/WPcMuocrIANADUTZAX7naNpR3bX6Lm07tE2SNKT9EL065VW18m9lbjAAQKVRdgBdONNqZfxKzV47W1l5WfKq46VFNy/S/dfcz9YcAKjhKDuo9ZLTkzVtzTRt/mGzJGlg24F6bepratukrcnJAAD2QNlBrfbO1+/o/rfuV8b5DHm6e+qpMU/pkesfkauLq9nRAAB2QtlBrZSRk6EH335Qb339liSpd+veen3q6+rQrIPJyQAA9kbZQa0TfzheE1+dqF9O/yJXF1c9duNjmn/jfG7cCQAWxW931BoFhQX6x4f/0DObnlGxUaw2jdvozbvfVL+r+pkdDQDgQJQd1AqHUw7rzlV3aufRnZKkKf2n6MXbXlQDzwYmJwMAOBplB5ZmGIZWfb5Kj7z7iHLyc9TIq5GiJ0Xr5tCbzY4GAKgmlB1YVkZOhu5Zc4/e2/WeJOnaDtfq9amvq4VvC5OTAQCqE2UHlrQzcacmRE9QYlqi3F3d9dTYpzT7htlcIBAAaiHKDizFMAwtiVuiuR/MVUFRgVr7t9a7976r3q17mx0NAGASyg4s43TWaU15bYo2fr9RknRz6M1aOWmlGno1NDcYAMBUlB1YQvzheN3+yu1KPpMsDzcPLZ2wVPddc59sNpvZ0QAAJqPsoEYrLi7Wwk0L9fd//V3FRrHaBbTT2vvWqltQN7OjAQCcBGUHNVbauTTduerOkht4Tuw7UVF3RKm+Z32TkwEAnAllBzXSzsSduvnlm5WUnqS6deoq6vYoTRkwxexYAAAnRNlBjWIYhl7+7GXNiJmh/MJ8tW3SVh/c/4G6tOhidjQAgJOi7KDGyM7L1vQ3p+vNr96UJI3tMVavTXlNPl4+JicDADgzyg5qhMMphzXu5XHaf3y/XF1c9cxNz2h2+GzOtgIAXBFlB07vg90faMprU3Qu95ya+jRVzL0xGtxusNmxAAA1BGUHTquouEj/74P/p0WbF0mSBl09SDH3xqhZw2YmJwMA1CSUHTil9Ox03RZ9m7Yc2CJJmh0+WwvHLpS7m7vJyQAANQ1lB05n//H9GhM5Rj+d+kl169TVa1Ne04SwCWbHAgDUUJQdOJUPdn+gSa9OUnZetlr5tVLsg7FcDRkAUCUuZgcApAu3fXgs9jGNWz5O2XnZurbDtdo5fydFBwBQZU5Xdg4dOqTu3buXPOrWravY2FizY8GBMnIyNDpytJ7895OSpJnXz9TmGZvl38Df5GQAACtwut1Y7du31969eyVJWVlZatWqlW644QZzQ8FhDqUc0ujI0TqUckie7p5aOWml7ux7p9mxAAAW4nRl5/c2bNig6667TvXq1TM7Chwg7kCcxr88XhnnMxTkG6T1D6xXaMtQs2MBACymwruxduzYoZEjRyowMFA2m+2iu5iioqLUunVreXp6KjQ0VPHx8ZUKt3btWk2YwFk4VhS1LUoRL0Qo43yGBrQdoJ3zd1J0AAAOUeEtO9nZ2erWrZumTp2qcePGlXk/JiZGM2bMUFRUlAYMGKAVK1YoIiJCBw4cUHBwsCQpNDRUeXl5ZabdsmWLAgMDJUmZmZn64osv9O677142T15eXql5ZWZmVvQroRoVFhVqZsxMLdu2TJI0qd8kRU+Mloe7h8nJAABWZTMMw6j0xDab1q9frzFjxpQM69Onj3r27Knly5eXDOvYsaPGjBmjhQsXlnveb7zxhjZv3qw333zzsuP94x//0IIFC8oMz8jIkLe3d7k/D453NuesJqyYoC0Htshms2nh2IWaM2wO97cCACgzM1M+Pj4OWX/b9Wys/Px87dq1S+Hh4aWGh4eHKyEhoULzKu8urHnz5ikjI6PkcezYsQp9DqrHkdQj6rewn7Yc2CKvOl764P4P9GjEoxQdAIDD2fUA5bS0NBUVFSkgIKDU8ICAAKWkpJR7PhkZGfrmm2/0/vvvX3FcDw8PeXiwC8SZfXboM920/CalZ6erRaMW2vDQBvUI7mF2LABALeGQs7H++L91wzAq9D94Hx8fnTx50t6xYIJV8at0/1v3q6CoQL1b91bsA7HcyBMAUK3suhvL399frq6uZbbipKamltnaA2srLi7WX9/7q6atmaaCogLdGnartv9lO0UHAFDt7Fp26tSpo9DQUMXFxZUaHhcXp/79+9vzo+DEzuef1y0rbtHiLYslSQtGLdDb97ytunXqmpwMAFAbVXg3VlZWlo4cOVLyOjExUXv37pWvr6+Cg4M1a9YsTZw4Ub169VK/fv0UHR2tpKQkTZ8+3a7B/ygyMlKRkZEqKipy6Ofg8k6dO6XRkaP15U9fqo5bHa2eslq39bnN7FgAgFqswqeeb9++XUOGDCkzfPLkyVq9erWkCxcVXLRokU6cOKHOnTtryZIlGjx4sF0CX4kjT13D5f148kcNf3G4jqQeUSOvRop9MFaD21XP3zsAoGZz5Pq7StfZcUaUHXMkHEnQqMhROp11Wq38WmnTI5vUoVkHs2MBAGoIR66/nfreWKgZ1u1apztfuVN5hXkKaxWmDx/+UAHeHJAOAHAOdj1AGbWLYRh6bstzumXFLcorzNOobqO07S/bKDoAAKfClh1USlFxkR559xFFbouUJD005CEtvXWpXF1cTU4GAEBplik7nI1VfXLycnTbytu04bsNstlsWnzzYs28YSa3fgAAOCUOUEaFnM46rZHLRurLn76Uh5uH3pz2pm4OvdnsWACAGo4DlOEUjqUf09ClQ3XwxEE18mqkDx/+UAPaDjA7FgAAl0XZQbn8cPwHDV06VMfPHleLRi308SMfq1PzTmbHAgDgiig7uKIvjnyhES+N0Nmcs+rYrKM2z9isIN8gs2MBAFAulB1c1offfahbVtyi3IJc9buqnzY+vFG+9XzNjgUAQLlxnR1c0qufv6qxUWOVW5CrEV1HaOvMrRQdAECNQ9lBGYZh6Ol/P627X79bRcVFmjpgqtY/sF5eHl5mRwMAoMIsU3YiIyMVEhKisLAws6PUaMXFxXrk3Uc0P3a+JGlexDytmrxKbq7s8QQA1ExcZwclCgoLNOW1KXr7m7clSUsnLNUj1z9icioAQG3AdXbgcOfzz+uWFbdo4/cb5ebqpjVT1+i2PreZHQsAgCqj7ECZ5zM1atkofXb4M3m6e+r9+9/X8C7DzY4FAIBdUHZqubRzaYp4IULf/vKtGng20MaHN2pwu8FmxwIAwG4oO7XY8TPHdcOSG3TwxEH51/fXxzM+VmjLULNjAQBgV5SdWuqn1J90/fPX6+jpo2resLm2ztqqDs06mB0LAAC7o+zUQvuS9yl8abhSMlLUtklbxc2MUyv/VmbHAgDAIbjOTi3z9c9f65pnr1FKRoq6NO+i+DnxFB0AgKVxnZ1a5NODn2pU5Chl52Wrb5u++ujPH6lRvUZmxwIAwKHrb8ts2cHlbdq3ScNfHK7svGxd1/E6xc2Mo+gAAGoFyk4tELsnVqMjRyuvME+juo3Sxoc3qr5nfbNjAQBQLSg7FhezM0Y3v3yzCooKND50vNZNXydPd0+zYwEAUG0oOxa2JmGNbl95u4qKi3Rn3zv19j1vy93N3exYAABUK8qORa3csVJTVk9RsVGsuwferdVTV3PncgBArUTZsaBlny7TvW/cK8Mw9MCfHlD0xGi5uriaHQsAAFNQdizm2c3P6uF3HpYkzQ6frWW3L5OLC3/NAIDai7WghTyx8QnNWTdHkjR/+Hw9e/OzstlsJqcCAMBclik7tfkKyoZhaP76+fr7v/4uSXpi9BN6cuyTFB0AAMQVlGs8wzD0l/f+oufjnpckLR6/WLPDZ5ucCgCAinHk+pvTc2owwzA0M2amXvjkBUnSstuX6cEhD5qcCgAA50LZqaH+WHRWTFyhewffa3IqAACcD2WnBjIMQzNiZujFT16UJEVPjNY9g+8xORUAAM6JslPD/LHorJy0UtMGTTM5FQAAzouyU4MYhqFH3n1EL336kiSKDgAA5UHZqSH+WHRemfSK7h50t8mpAABwfpa5zo6V/b7o2Gw2ig4AABXAlh0nZxiG/vzOn7Vs27KSonPXwLvMjgUAQI3Blh0nRtEBAKDq2LLjpAzD0MPvPKzIbZGy2WxaNXmVpg6YanYsAABqHMts2bHSvbF+O0aHogMAQNVxbywnYxiG/rrur3puy3MUHQBAreHI9bdltuxYgWEY+lvs3/TcluckSSvuXEHRAQCgiig7TuSJjU/o6Y+elnThpp7cAgIAgKqj7DiJf276px7f8Lgk6bnxz3H3cgAA7ISy4wSWxC3R3A/mSpKeHvu0ZoXPMjkRAADWQdkxWdS2KM1ae6HcPD7ycc0bPs/kRAAAWAtlx0SvxL+iB9++sLtqbsRcPT7ycZMTAQBgPZQdk6xJWKN737hXkjTz+pl6euzTstlsJqcCAMB6KDsmiNkZo6mrp8owDD045EE9d8tzFB0AAByEslPNPtj9ge545Q4VG8WaNmiaXrz1RYoOAAAORNmpRhu/26hbo29VUXGRJvWbpBV3rpCLC38FAAA4EmvaarL1wFaNe3mcCooKdGvYrXp1yqsUHQAAqgFr22qQcCRBoyNHK78wX2N7jNWau9bI1cXV7FgAANQKlB0H2/3Lbg1/cbhy8nM0tNNQvXPPO3J3czc7FgAAtYZlyk5kZKRCQkIUFhZmdpQSB08c1NClQ5VxPkODrh6kD+7/QB7uHmbHAgCgVrEZhmGYHcKeHHmL+IpIPJWogYsG6tezv6pXy176ZPYn8q5rXh4AAJyZI9ffltmy40yOnzmu656/Tr+e/VWdAjvp4xkfU3QAADAJZcfOTp07pRuW3KDEtERd1fgqxc2Mk199P7NjAQBQa1F27OhszlkNXTpUB08cVItGLbR11lY1a9jM7FgAANRqlB07yc7L1o0v3qg9SXvUuEFjbZ21Va38W5kdCwCAWo+yYwe5BbkaEzlGCT8lqKFXQ8XNjFP7pu3NjgUAAETZqbKCwgLdGn2rth7cqnoe9bTpz5vULaib2bEAAMB/UXaqoLi4WFNem6J/7f2XPNw8tOHBDep7VV+zYwEAgN+h7FSSYRh68O0H9fY3b8vN1U3rpq/TtR2vNTsWAAD4A8pOJT0W+5he/uxl2Ww2vXHXGxrRbYTZkQAAwEVQdiphSdwSPfXRU5Kk5Xcs1629bzU5EQAAuBTKTgWtSVijWWtnSZKeGvOU7rvmPpMTAQCAy6HsVMCGvRt01+t3SZJmXj9T84bPMzkRAAC4EspOOX126DPdsuIWFRUXaXK/yVo8frFsNpvZsQAAwBVQdsphT9IejYocpbzCPI3qNkqvTH5FLi780QEAUBOwxr6CwymHNXTpUGWez9Q17a7Ru/e+KzdXN7NjAQCAcqLsXEZyerLCl4br1LlT6hHcQ/968F+qW6eu2bEAAEAFUHYu4XTWaQ1dOlS/nP5FVze5Wh8/8rF8vHzMjgUAACqIsnMRWblZuvHFG3XgxAE1b9hccbPi1MS7idmxAABAJVB2/iCvIE83Lb9JXyd+Ld96vtoyc4ta+rU0OxYAAKgkys7vFBUXaeKqiYo7EKd6HvX00Z8/UkhgiNmxAABAFVim7ERGRiokJERhYWGVmt4wDD3w1gN6b9d7cnd11/oH1qtPmz52TgkAAKqbzTAMw+wQ9pSZmSkfHx9lZGTI29u73NM9FvuYnvz3k7LZbIq5N0bje413YEoAAPB7lV1/l4dltuxURdS2KD357yclXbixJ0UHAADrqPVlZ92udXronYckSQtGLeDGngAAWEytLjvbD23XHa/cIcMwNP2a6XpsxGNmRwIAAHZWa8vOd8e+0+jI0covzNdNPW/SstuXcWNPAAAsqFaWnaNpRzXshWHKPJ+pwe0G661pb8nVxdXsWAAAwAFqXdk5de6Uhi4dqpSMFHVp3kX/evBf8nT3NDsWAABwkFpVdrLzsjXipRE6fPKwgn2D9fGMj9XQq6HZsQAAgAPVmrJTUFig8S+P1zeJ38ivvp82z9iswIaBZscCAAAOVivKjmEYmrZmmjbt36S6depq40Mb1aFZB7NjAQCAalArys7c9+dqzZdr5Oriqvfue099r+prdiQAAFBNLF92lm5dqkWbF0mSVk5aqRu73mhyIgAAUJ0sXXbe+fodzYyZKUl6euzTmjpgqsmJAABAdbNs2fn0P59q8muTJUkPX/uw5kbMNTkRAAAwg5vZARzlzlfuVIFRoFt63aKlE5ZydWQAAGopy27Zyc7L1rUdrtWau9bIxcWyXxMAAFyBZVtAl+ZdtP6B9fJw9zA7CgAAMJFly8666evkXdfb7BgAAMBkli07TRs2NTsCAABwApYtOwAAABJlBwAAWBxlBwAAWBplBwAAWBplBwAAWBplBwAAWBplBwAAWBplBwAAWBplBwAAWBplBwAAWBplBwAAWJpTlp0lS5aoU6dOCgkJ0Z///GcZhmF2JAAAUEM5Xdk5deqUli1bpl27dmnfvn3atWuXvvrqK7NjAQCAGsrN7AAXU1hYqNzcXElSQUGBmjRpYnIiAABQU1V4y86OHTs0cuRIBQYGymazKTY2tsw4UVFRat26tTw9PRUaGqr4+Phyz79x48b6y1/+ouDgYAUGBur666/XVVddVdGYAAAAkipRdrKzs9WtWzctW7bsou/HxMRoxowZmj9/vvbs2aNBgwYpIiJCSUlJJeOEhoaqc+fOZR6//vqrzpw5o40bN+ro0aM6fvy4EhIStGPHjsp/QwAAUKvZjCoc/Wuz2bR+/XqNGTOmZFifPn3Us2dPLV++vGRYx44dNWbMGC1cuPCK83zvvfe0fft2RUZGSpKeffZZGYahOXPmXHT8vLw85eXllbzOyMhQcHCwjh07Jm9v70p+MwAAUJ0yMzMVFBSks2fPysfHx67ztusxO/n5+dq1a5fmzp1banh4eLgSEhLKNY+goCAlJCQoNzdX7u7u2r59u+69995Ljr9w4UItWLDgovMBAAA1y+nTp5277KSlpamoqEgBAQGlhgcEBCglJaVc8+jbt6+GDx+uHj16yMXFRdddd51GjRp1yfHnzZunWbNmlbwuLi5WaGiodu/eLZvNVrkvUg5hYWHauXOn6fOq7LQVma68415pvN9ae23Z6mbPfyNV5egszrI8VHb6ik7DMlE5zrJMVEeO2rRM2Gt5+G3PjK+vb7lzlpdDzsb6Y8kwDKNCxeOpp57SU089Va5xPTw85OHhUWaYvVvhH7m6utrtl1NV5lXZaSsyXXnHLe943t7eteIXuz3/jVSVo7M4y/JQ2ekrOg3LROU4yzJRHTlq0zJh7+XBxcX+V8Wx6xz9/f3l6upaZitOampqma09jvTggw/WqM+oyrwqO21FpivvuNXx516TONOfh6OzOMvyUNnpKzoNy0TlOMufR21aR1R2equtIxxygHJoaKiioqJKhoWEhGj06NHlOkAZ1pWZmSkfHx9lZGQ4xf/uALOxTAD/48jlocK7sbKysnTkyJGS14mJidq7d698fX0VHBysWbNmaeLEierVq5f69eun6OhoJSUlafr06XYNjprHw8NDjz/+eJndjkBtxTIB/I8jl4cKb9nZvn27hgwZUmb45MmTtXr1akkXLiq4aNEinThxQp07d9aSJUs0ePBguwQGAACoiCrtxgIAAHB2TncjUAAAAHui7AAAAEuj7AAAAEuj7AAAAEuj7MApjB07Vo0aNdLNN99sdhTAdMeOHdOf/vQnhYSEqGvXrnrvvffMjgSY6ty5cwoLC1P37t3VpUsXrVy5skLTczYWnMK2bduUlZWl119/XevWrTM7DmCqEydO6OTJk+revbtSU1PVs2dPHTp0SPXq1TM7GmCKoqIi5eXlycvLSzk5OercubN27twpPz+/ck3Plh04hSFDhqhBgwZmxwCcQrNmzdS9e3dJUpMmTeTr66v09HRzQwEmcnV1lZeXlyQpNzdXRUVFqsi2GsoOqmzHjh0aOXKkAgMDZbPZFBsbW2acqKgotW7dWp6engoNDVV8fHz1BwWqiT2XiW+//VbFxcUKCgpycGrAceyxTJw9e1bdunVTixYtNGfOHPn7+5f78yk7qLLs7Gx169ZNy5Ytu+j7MTExmjFjhubPn689e/Zo0KBBioiIUFJSUjUnBaqHvZaJ06dPa9KkSYqOjq6O2IDD2GOZaNiwob777jslJibq7bff1smTJ8sfwADsSJKxfv36UsN69+5tTJ8+vdSwDh06GHPnzi01bNu2bca4ceMcHRGoVpVdJnJzc41BgwYZa9asqY6YQLWpynriN9OnTzfWrl1b7s9kyw4cKj8/X7t27VJ4eHip4eHh4UpISDApFWCe8iwThmFoypQpuvbaazVx4kQzYgLVpjzLxMmTJ5WZmSnpwt3Rd+zYofbt25f7Myp813OgItLS0lRUVKSAgIBSwwMCApSSklLyeujQodq9e7eys7PVokULrV+/XmFhYdUdF3C48iwTX3zxhWJiYtS1a9eSYxveeOMNdenSpbrjAg5XnmUiOTlZd999twzDkGEYeuihh9S1a9dyfwZlB9XCZrOVem0YRqlhmzdvru5IgKkut0wMHDhQxcXFZsQCTHO5ZSI0NFR79+6t9LzZjQWH8vf3l6ura6mtOJKUmppapsUDtQHLBFBadSwTlB04VJ06dRQaGqq4uLhSw+Pi4tS/f3+TUgHmYZkASquOZYLdWKiyrKwsHTlypOR1YmKi9u7dK19fXwUHB2vWrFmaOHGievXqpX79+ik6OlpJSUmaPn26iakBx2GZAEozfZmowNliwEVt27bNkFTmMXny5JJxIiMjjZYtWxp16tQxevbsaXz22WfmBQYcjGUCKM3sZYJ7YwEAAEvjmB0AAGBplB0AAGBplB0AAGBplB0AAGBplB0AAGBplB0AAGBplB0AAGBplB0AAGBplB0AAGBplB0AAGBplB0AAGBplB0AAGBp/x+Nh2w/OUzMlwAAAABJRU5ErkJggg==", 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" ] @@ -770,94 +392,52 @@ } ], "source": [ - "plt.plot(rho_arr, my_ut_arr, label='My ut')\n", - "plt.plot(rho_arr, j_ut_arr, label='Johnson ut')\n", - "plt.axhline(1., color='k', linestyle='--', label='fixed u_T')\n", - "# plt.loglog(rho_arr, j_ut_alt_arr, label='Johnson ut alt')\n", - "plt.title(r'$A_{\\rm T} = $' + str(A_t))\n", - "plt.legend()\n", - "plt.xscale('log')\n", - "plt.yscale('log')\n", - "plt.xlabel(r'$\\rho$')\n", - "plt.ylabel(r'$u_{\\rm T}$')\n" + "plt.loglog(d_arr, opt_depth_arr, color='darkgreen')\n", + "plt.ylim(1e-8, 1e-5)\n", + "plt.xlim(3, 1e3)\n", + "plt.show()" ] }, { "cell_type": "code", - "execution_count": 30, + "execution_count": 114, "metadata": {}, "outputs": [], "source": [ - "m_lens = 3e-6\n", - "# pbh = Pbh(m_lens, 1, l=l, b=b, ds=ds)\n", - "pbh = Pbh(m_lens, 1, l=1.0, b=-1.03, ds=8.5, lognorm=True, sigma=0.1, u_t=1)\n", - "ts = np.logspace(-2,1,50)" - ] - }, - { - "cell_type": "code", - "execution_count": 22, - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - " 0%| | 0/20 [00:00" ] }, - "execution_count": 23, + "execution_count": 122, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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", 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", "text/plain": [ "
" ] @@ -867,640 +447,17 @@ } ], "source": [ - "plt.loglog(u_t_arr, rate_earth)\n", - "plt.xlabel(r'$u_{\\rm T}$')\n", - "plt.ylabel(r'$\\Gamma$')" + "plt.loglog(m_arr, 1/m_arr*mass_func_arr, label=\"sigma=0.01\")\n", + "plt.loglog(m_arr, 1/m_arr*mass_func_arr_med, label=\"sigma=0.5\")\n", + "plt.loglog(m_arr, 1/m_arr*mass_func_arr_wide, label=\"sigma=1.\")\n", + "plt.ylim(1e-6, 1e22)\n", + "plt.xlim(1e-12, 1e-6)\n", + "plt.legend()" ] }, { "cell_type": "code", - "execution_count": 21, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "Text(0, 0.5, '$d\\\\Gamma/dt$')" - ] - }, - "execution_count": 21, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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dAcF64cex7bbsA+BuOJMAwIn9MyNXj63dK5sh/XBoL/3lzmj5etFpG2gr7b88r4tKSUlRZGSk4uPjzS4FgBsyDEPPbzqmhW9dCkl3J0Tor3cPJyQBbYwlTFqJJUwA2JthGFr0wUEt23xckvTADf308LiBslhoJAk0FUuYAIALqrXatPCtvXVLkjx2y2DdP6avyVUBrougBABOorLGqof+uUsbcgrl6WHRn24fqjviws0uC3BpBCUAcAJllTWaszJLnx8/Kx8vDz1393AlDelpdlmAyyMoAYCDO1tepekrMrX3VIk6+3rp7/fFaXS/bmaXBbgFghIAOLBT5y9q6ovbdfxMhYI6+ejlGQkaGsa6bYC9EJQAwEEdLbq0blt+yaV121bOSlA/1m0D7IqgBAAOaPd/1m376kKN+vforJUzExTahXXbAHsjKAGAg/nsaLHmrNyhimqrosMCtWJGgoJYtw0wBUEJABzIh/vy9dA/L63bdn3/blo6NU6dWbcNMA1nHwA4iNWZuXVLkiRH9dQzd8WwJAlgMoISADiAF/59TH/64KAk6a74cP1h0lB5erAkCWA2ghIAmMgwDP3pg4Na+p912+Z+r59+8wPWbQMcBUEJAExSa7XpsbX7tHpHniTp0VsGac6YfiZXBeCbPMwuwBEsWbJEQ4YMUWRkpB566CEZhmF2SQBcXGWNVQ++ukurd+TJwyItnjKMkAQ4ILcPSmfOnNFzzz2nrKws7d27V1lZWdq2bZvZZQFwYeVVtZqZlqkP9xfIx9NDqffG6kcsbgs4JIbeJNXW1qqyslKSVFNTox49ephcEQBXda6iWtNXZGjPyRJ18vHU36fFKbFfsNllAWiEw99R2rx5s8aPH6/Q0FBZLBatW7euwXtSU1PVp08f+fn5KTY2Vlu2bGny/rt3765f/epXioiIUGhoqG6++Wb168ftbwBt7/T5i7rjha3ac7JEQZ189M85owhJgINz+DtKFRUVio6O1owZMzR58uQGr69evVrz589Xamqqrr/+ei1dulTJycnKyclRRESEJCk2NlZVVVUNPrthwwZ16NBB7777rr744gt16NBBycnJ2rx5s8aMGXPZeqqqqurtq7S0tI1+UgCu7GhRue57cbtOl1QqNNBPK2eNVP8erNsGODqL4UQzly0Wi9auXauJEyfWbRs5cqRGjBih559/vm7b4MGDNXHiRC1atOiq+1yzZo02bdqklJQUSdJTTz0lwzD061//+rLvf/zxx/XEE0802F5SUqKAgIBm/kQA3MGek+c1fUWmzlVUq1/3Tnpl1kjWbQNMVlpaqsDAwKtevx1+6O1KqqurlZWVpaSkpHrbk5KStHXr1ibtIzw8XFu3blVlZaWsVqs2bdqkgQMHNvr+hQsXqqSkpO4rLy+vVT8DANe29Vix7l62TecqqjUsLFBr5iYSkgAn4vBDb1dSXFwsq9WqkJCQettDQkJUUFDQpH2MGjVKt9xyi4YPHy4PDw/ddNNNuu222xp9v6+vr3x9fVtVNwD3sH5/gX726i5VW21K7NdNy+5j3TbA2bjEGfvtDraGYTSrq+0f/vAH/eEPf2jWMVNSUpSSkiKr1dqszwFwD6/vyNMjb+6RzZDGDQnRs3cNl58367YBzsaph96Cg4Pl6enZ4O5RUVFRg7tMbW3evHnKyclRZmZmux4HgPNZtvmYfv3GpZB0Z1y4Uu4ZQUgCnJRTByUfHx/FxsYqPT293vb09HQlJiaaVBUAd2UYhv7vw4P64/uXFrf9yZi++tPkofLydOpftYBbc/iht/Lych09erTu+xMnTig7O1tBQUGKiIjQggULNHXqVMXFxWn06NFatmyZcnNzNXfu3Hati6E3AN+2JP2wnt90TJL0SPIgzf0ePdkAZ+fw7QE2bdqksWPHNtg+bdo0paWlSbrUcHLx4sXKz89XVFSUlixZ0mgfpLbW1McLAbi2v28+rj+8f0CS9MRtQzQt8VpzCwJwRU29fjt8UHJ0BCUA/8zI1cK39kqSHh43UPPG9je5IgBX4xZ9lADAbP/afVqPrr0UkuZ+rx8hCXAxBKUWSklJUWRkpOLj480uBYBJPjlYqF+szpZhSD8eFaHf/KDxZrUAnBNDb63E0BvgnrYdP6tpL2WoqtamCTGhWvKjGHl4NL1/GwBzMfQGAO1kd955zUrLVFWtTTcPDtHTd0QTkgAXRVACgGY4VFCmaSsyVFFtVWK/bnrunuHypk8S4LI4u1uIOUqA+/nybIV+/OJ2nb9Qo5jwLvr7fXF03AZcHHOUWok5SoB7yC+5qDte+Fwnv7qoQT399dqcUerS0cfssgC0EHOUAKCNnC2v0o+Xb9fJry7q2m4dtXJWAiEJcBMEJQC4gtLKGk1bkaFjZyoUGuinVbNHqoe/n9llAbATghIANOJitVWz0jK171SpunXy0SuzRyqsa0ezywJgRwQlALiM6lqb5q7KUuYXX8nfz0srZyWoX/fOZpcFwM4ISi3EU2+A66q12jR/9S79+/AZdfD2VNqMeA0JDTS7LAAm4Km3VuKpN8C12GyGfvPmHq3JOikfTw+9OD1O3x3Q3eyyALQxnnoDgGYyDEO/fy9Ha7JOytPDor/ePZyQBLg5ghIA/MeSj45oxWdfSJIWTx6mH0T1NLcgAKYjKAGApOVbjuuvHx+RJP3vhCGaHBtmckUAHAFBCYDbey0jV0++d0CS9PC4gbpv9LXmFgTAYRCUWoin3gDX8O6e01q4dq8k6Sff66sHbuhnckUAHAlPvbUST70BzmvjwSLdv3KHam2G7hkZoT9MjJLFYjG7LAB2wFNvAHAF246f1dxVWaq1GZoQE6rfTyAkAWiIoATA7ew5eV6zX96hqlqbbh7cQ0/fES1PD0ISgIYISgDcyuHCMt33UobKq2o1um83PXfPCHl78qsQwOXx2wGA28g9e0E/Xr5d5y/UKCa8i/4+LU5+3p5mlwXAgRGUALiFgpJK3bN8m4rKqjSop7/SZsSrs6+X2WUBcHAEJQAu71xFtX784nad/Oqiru3WUStnJahLRx+zywLgBAhKLUQfJcA5lFbWaNpLGTpaVK5egX5aNXukevj7mV0WACdBH6VWoo8S4LguVls17aUMZXxxTt06+ej1uaPVr3tns8sC4ADoowTArVXX2jR3VZYyvjgnfz8vvTwzgZAEoNkISgBcjtVm6Bers/Xvw2fUwdtTK6bHK6p3oNllAXBCBCUALsVmM7TwrT16b2++fDw9tHRqrOKuDTK7LABOiqAEwGUYhqEn3zug13eclIdF+uvdMRpzXXezywLgxAhKAFzGMx8d0UufnZAkLZ4SrR9E9TK5IgDOjqAEwCUs33Jcz358RJL0xG1DNCU2zOSKALgCghIAp7c6M1dPvndAkvSrpOs0LfFacwsC4DIISgCc2nt78rXwrb2SpJ+M6at5Y/ubXBEAV0JQAuC0Nh4q0vzVu2QzpLsTIvRI8iBZLBazywLgQghKLcQSJoC5th8/q7mvZKnGamh8dKienBhFSALQ5ljCpJVYwgSwvz0nz+uev29XeVWtbhrUQy9MjZW3J//uA9B0LGECwCUdKSzTtJcyVF5Vq9F9uynl3hGEJADtht8uAJxG7tkLunf5dn11oUbR4V3092lx8vP2NLssAC6MoATAKRSUVOreF7epqKxKA0P89fKMeHX29TK7LAAujqAEwOGdq6jW1Be3K+/cRV3TraNemZWgLh19zC4LgBsgKAFwaGWVNZr2UoaOFJWrV6CfVs0aqR4BfmaXBcBNEJQAOKyL1VbNenmH9p4qUVAnH70ya6TCgzqaXRYAN0JQAuCQqmtt+uk/spRx4pz8fb20cmaC+vfobHZZANwMQQmAw7HaDP1idbY2HTojP28PvTQjXlG9A80uC4AbIigBcCiGYejRt/bqvb358va0aOnUOMVfG2R2WQDcFEEJgMMwDENPvndAq3fkycMi/fWu4fredd3NLguAGyMoAXAYz358RC9+ekKStHhKtJKH9jK5IgDujqAEwCG8+OkJPfPREUnS4+MjNSU2zOSKAICgBMABvJ6Zp9+/myNJ+uX3r9P06/uYXBEAXEJQkvT0009ryJAhioqK0qpVq8wuB3Ar7+3J1yNv7ZEkzRnTVw/e2N/kigDgv9x+oaS9e/fq1VdfVVZWliTppptu0q233qouXbqYWxjgBjYdKtL81btkM6S7E8K1MHmQLBaL2WUBQB23v6N04MABJSYmys/PT35+foqJidGHH35odlmAy8s4cU5zV2Wpxmro1mG99OTEoYQkAA7H4YPS5s2bNX78eIWGhspisWjdunUN3pOamqo+ffrIz89PsbGx2rJlS5P3HxUVpY0bN+r8+fM6f/68PvnkE506daoNfwIA37b3ZIlmpmWqssamGwf10JI7Y+TpQUgC4HgcfuitoqJC0dHRmjFjhiZPntzg9dWrV2v+/PlKTU3V9ddfr6VLlyo5OVk5OTmKiIiQJMXGxqqqqqrBZzds2KDIyEg99NBDuvHGGxUYGKj4+Hh5eTX+x1JVVVVvX6WlpW3wUwLu40hhme57abvKq2o1qm+QUu8dIW9Ph/83GwA3ZTEMwzC7iKayWCxau3atJk6cWLdt5MiRGjFihJ5//vm6bYMHD9bEiRO1aNGiZh9j9uzZmjRpkn74wx9e9vXHH39cTzzxRIPtJSUlCggIaPbxAHeSd+6CprywVYWlVYoOC9Q/7h+lzr4O/+81AC6otLRUgYGBV71+O/U/46qrq5WVlaWkpKR625OSkrR169Ym76eoqEiSdOjQIWVkZGjcuHGNvnfhwoUqKSmp+8rLy2tZ8YCbKSyt1L3Lt6uwtEoDQ/yVNiOBkATA4Tn1b6ni4mJZrVaFhITU2x4SEqKCgoIm72fixIk6f/68OnXqpBUrVlxx6M3X11e+vr4trhlwR19VVOvHy7cr99wFXdOto16ZlaCunXzMLgsArsqpg9LXvv2kjGEYzXp6pjl3n76WkpKilJQUWa3WZn8WcCdllTWatiJDR4rK1TPAT6tmjVSPAD+zywKAJnHqobfg4GB5eno2uHtUVFTU4C5TW5s3b55ycnKUmZnZrscBnFlVrVVzVmZpz8kSBXXy0arZCQoP6mh2WQDQZE4dlHx8fBQbG6v09PR629PT05WYmGhSVQCkS3d2f/PGHn1+/Kw6+3pp5cwE9e/hb3ZZANAsDj/0Vl5erqNHj9Z9f+LECWVnZysoKEgRERFasGCBpk6dqri4OI0ePVrLli1Tbm6u5s6d2651MfQGXNnTGw5pXfZpeXlYlHrvCEX1DjS7JABoNodvD7Bp0yaNHTu2wfZp06YpLS1N0qWGk4sXL1Z+fr6ioqK0ZMkSjRkzxi71NfXxQsCdvLo9V4+u3StJWjxlmH4UF25yRQBQX1Ov3w4flBwdQQmob+PBIs1euUNWm6Gf3zRAv/j+dWaXBAANuEUfJQCOZe/JEs17daesNkNTYsM0/+YBZpcEAK1CUGqhlJQURUZGKj4+3uxSAIeQd+6CZr6cqQvVVn13QLAW3c4itwCcH0NvrcTQGyCVXKjR5Be26mhRuQb19NeauaPl7+dtdlkA0CiG3gDYRVWtVXNe2aGjReXqFeintBkJhCQALoOgBKDFbDZDv1qzR9tPnJO/r5dWzIhXz0C6bgNwHQSlFmKOEiA9teGQ/rX7Uq+kF6bGalBPhp8BuBbmKLUSc5TgrlZt+1L/s26fJOnPd0RrcmyYyRUBQNMxRwlAu/n4QKH+39uXQtKC719HSALgsghKAJplz8nzevDVXbIZ0p1x4frZjf3NLgkA2g1BCUCT5Z27oJlpmbpYY9WY67rryUlR9EoC4NIISgCa5PyFak1bkaHi8mpF9gpQ6r0j5O3JrxAAro3fci3EU29wJ5U1Vt2/coeOn6lQaKCfVsyIV2dfL7PLAoB2x1NvrcRTb3B1Npuhn722S+/tyZe/n5fe/GmirgvxN7ssAGgVnnoD0Cb+78ODem9Pvrw9LVo6NZaQBMCtEJQANGrl519o6ebjkqSnpkQrsV+wyRUBgH0RlABc1ob9BXr8nf2SpIfHDdTE4b1NrggA7K/FQWn06NEqLS1ty1oAOIjsvPN66LVLvZLuTgjXAzf0M7skADBFi4PS9u3bVVlZ2WB7aWmpHn744VYV5Qx46g2u6suzFZqVlqnKGpvGDuyu30+gVxIA99Xsp95uv/12JSQk6LHHHtPu3bsVFRVV7/X8/HyFhYXJarW2aaGOiqfe4ErOVVRr8vNbdaK4QlG9A7R6zmh1og0AABfU1Ot3s38DXnPNNXr33XdlGIaio6PVrVs3RUdHKzo6WsOGDdOePXvUq1evVhUPwP6+7pV0orhCvbt00EvT4glJANxes38LLlmyRJLk6+urTz/9VKdPn9auXbuUnZ2ttWvXymazafHixW1eKID2Y7MZWvB6trK+/EoBfl5KmxGvHgF+ZpcFAKZr8T8XKyoq5OnpKYvFogkTJrRlTQDs7I/vH9D7ewvk4+mhZffFaQC9kgBAUjODUmJiomJiYuq+hg4dqg4dOrRXbQDsYMVnJ7T80xOSpKfuGKZRfbuZXBEAOI5mBaUJEyZo9+7devbZZ3X48GFJUv/+/RUdHV0XnqKjo5mjBDiJD/cV6H/fzZEk/eYHgzQhhl5JAPBNLV7rLSsrSxMmTNCYMWPk7e2tnTt3av/+/bJYLAoODlZhYWFb1+qQeOoNzmpn7le6e9k2VdXadO/ICD05kTYAANxHuz319rU5c+YoJSWl3vyk999/X3PmzNH06dNbulunkZKSopSUFLdpgwDX8kVxhWa/vENVtTbdNKiHnrhtCCEJAC6jxXeUOnbsqP3796tPnz71tr/zzjv629/+pvT09DYp0NFxRwnO5mx5lSY/v1VfnL2gob0Dtfono9TRhzYAANxLU6/fLe7MPXLkSL3wwgsNtg8dOlS7du1q6W4BtKPKGqtmr9yhL85eUFjXDnpxehwhCQCuoMW/IVNTUzVq1CgVFhZqwYIFioqKUnV1tZ5++ml16tSpLWsE0AasNkM/f22XduWeV2AHb6XNSFAPf3olAcCVtDgoDR48WNu3b9eDDz6omJgYeXt7y2azycvLSy+++GJb1gigDTz5Xo7W7y+Uj6eH/n5fnPr36Gx2SQDg8Fp1z33QoEH66KOPlJubq+zsbHl4eCg2Npb2AICDefHTE1rx2ReSpD//KFoJfYLMLQgAnESzg9Kjjz6qiRMnKiEhoW5bRESEIiIi2rQwAG3jg735evK9S72SHr1lkMZHh5pcEQA4j2ZP5s7Pz9ett96qXr16ac6cOXrvvfdUVVXVHrUBaKWsL8/p56uzZRjSfaOv0f3f7Wt2SQDgVJodlFasWKHCwkK9/vrr6tKli375y18qODhYt99+u9LS0lRcXNwedQJopuNnyjX75R2qrrXp5sEh+t14eiUBQHO1uI/SNx04cED/+te/9Pbbb2vHjh0aOXKkbrvtNt19993q3du1l0SgjxIcUXF5lW5P3arccxcUHd5Fr90/Sh18PM0uCwAcRlOv320SlL7pzJkzeuedd/TOO+/ou9/9rn71q1+15e4dDkEJjuZitVV3/X2bduedV3hQB6194HoFd/Y1uywAcCjtFpRmzpypZ599Vv7+/q0u0pl9cwmTw4cPE5TgEKw2Q3NXZSk9p1BdOnrrzZ8mql932gAAwLe1W1Dy9PRUfn6+evTo0eoiXQF3lOAoDMPQ797Zr5WffykfLw+9Onuk4q6lDQAAXE67LWHSxiN1ANrI8i0ntPLzL2WxSM/cGUNIAoA20OK13gA4jnf3nNYf3j8gSXrslsG6ZShNXwGgLTQ7KFksFh4xBhxIxolzWrB6tyRpeuK1mvWdPiZXBACuo9mduQ3D0PTp0+Xre+WnaN56660WFwWgaY6dKdf9K3eo2mrTuCEh+u2tkfxDBgDaULOD0rRp09qjDgDNdKasStNXZKjkYo2GR3TRM3cOl6cHIQkA2lKzglJiYqJiYmIUExOj6OhoDRs2TB06dGiv2gA04kJ1rWa9nKm8cxd1TbeOWn5fHA0lAaAdNCsoTZgwQbt379azzz6rw4cPS5L69++v6OhoxcTEaPjw4Ro2bJh69WIiKdBeaq02/ezVXdpzskRBnXyUNiNB3WgoCQDtosWdubOysjRhwgSNGTNG3t7e2rlzp/bv3y+LxaLg4GAVFha2da0OiT5KsCfDMPTbt/dp1bZc+Xp56NX7Ryn2mq5mlwUATqep1+9mz1H62pw5c5SSkqIJEybUbXv//fc1Z84cTZ8+vaW7BXAFSzcf16ptubJYpGfviiEkAUA7a3EfpQMHDmjYsGH1tt1yyy1KTU3V9u3bW10YgPre2X1af/rgoCTptz+M1A+iGOIGgPbW4qA0cuRIvfDCCw22Dx06VLt27WpVUQDq23b8rH71+qVeSbO+00cz6ZUEAHbR4qG31NRUjRo1SoWFhVqwYIGioqJUXV2tp59+Wp06dWrLGgG3drSoTHP+0yspOaqnHrtlsNklAYDbaHFQGjx4sLZv364HH3xQMTEx8vb2ls1mk5eXl1588cW2rBFwW0WllZr2UqZKK2sVe01XLbkzRh70SgIAu2nVWm+DBg3SRx99pC+++EJr1qzR2rVrdfz4cd1zzz1tVV+bmjRpkrp27aopU6Y0eO3dd9/VwIEDNWDAAC1fvtyE6oD6KqpqNfPlTJ06f1F9gjvp7/fFyc+bXkkAYE8tbg/gjDZu3Kjy8nK9/PLLeuONN+q219bWKjIyUhs3blRAQIBGjBih7du3Kyjo6quv0x4A7aHWatP9K3do46Ez6tbJR289kKhrujGkDQBtpanX71bdUXI2Y8eOlb+/f4PtGRkZGjJkiHr37i1/f3/dcsstWr9+vQkVAl/3StqvjYfOyM/bQ8unxRGSAMAkDhOUNm/erPHjxys0NFQWi0Xr1q1r8J7U1FT16dNHfn5+io2N1ZYtW9rk2KdPn1bv3r3rvg8LC9OpU6faZN9Ac6VuOqZ/ZlzqlfTXu4ZreAS9kgDALC2ezN3WKioqFB0drRkzZmjy5MkNXl+9erXmz5+v1NRUXX/99Vq6dKmSk5OVk5OjiIgISVJsbKyqqqoafHbDhg0KDQ1t9NiXG31sbAX2qqqqescoLS296s8GNNW6Xaf01PpDkqTHxw9R0pCeJlcEAO7NYYJScnKykpOTG339L3/5i2bNmqXZs2dLkp555hmtX79ezz//vBYtWiTp0rIqLdG7d+96d5BOnjypkSNHXva9ixYt0hNPPNGi4wBXsvVYsR5+41KvpDlj+mpa4rXmFgQAcJyhtyuprq5WVlaWkpKS6m1PSkrS1q1bW73/hIQE7du3T6dOnVJZWZnef/99jRs37rLvXbhwoUpKSuq+8vLyWn184HBhmX7ySpZqrIZ+OLSXHvnBILNLAgDIge4oXUlxcbGsVqtCQkLqbQ8JCVFBQUGT9zNu3Djt3LlTFRUVCgsL09q1axUfHy8vLy/9+c9/1tixY2Wz2fTrX/9a3bp1u+w+fH195evLSu1oO4WllZr+UobKKmsVf21X/flH0fRKAgAH4RRB6WvfnjdkGEajc4ku50pPst1222267bbbmryvlJQUpaSkyGq1NvkzwLeVV9VqxopMnS6pVN/u9EoCAEfjFENvwcHB8vT0bHD3qKioqMFdJnuZN2+ecnJylJmZacrx4fxqrDY98I+dyskvVXBnH6VNT1CXjj5mlwUA+AanCEo+Pj6KjY1Venp6ve3p6elKTEw0qSqg5QzD0P+s3afNh8+og7enXpwWr4huHc0uCwDwLQ4z9FZeXq6jR4/WfX/ixAllZ2crKChIERERWrBggaZOnaq4uDiNHj1ay5YtU25urubOnWtKvQy9oTWe++SoVu/Ik4dF+tvdwxUd3sXskgAAl+EwS5hs2rRJY8eObbB92rRpSktLk3Sp4eTixYuVn5+vqKgoLVmyRGPGjLFzpfWxhAma682sk/rlmkttAH4/MUpTR11jckUA4H6aev12mKDkrAhKaI7PjhZr2ksZqrUZmvu9fnokmTYAAGAG1noDHMzBglLNfSVLtTZD46ND9etxA80uCQBwFQSlFkpJSVFkZKTi4+PNLgVOoKCkUjNWZKqsqlYJfYL09B3D6JUEAE6AobdWYugNV1NWWaM7XvhcBwvK1L9HZ705N1GBHb3NLgsA3BpDb4AD+LpX0sGCMgV39tWK6fGEJABwIgQloJ0YhqFH39qrLUeK1dHHUyumxys8iF5JAOBMCEotxBwlXM2zHx/RmqyT8rBIKfeM0NCwQLNLAgA0E3OUWok5SricNTvy9PAbeyRJf5w0VPeMjDC5IgDANzFHCTDJliNntPCtvZKkB27oR0gCACdGUALaUM7pUv101U7V2gxNiAnVw/RKAgCnRlAC2kh+yUXNTMtUeVWtRvUN0uIpw2Sx0CsJAJwZQQloA6WVNZr+UqYKSis1oEdnLZ0aJ18vT7PLAgC0EkGphXjqDV+rrrXpp6uydKiwTD38fZU2M0GBHeiVBACugKfeWomn3tybYRj65ZrdemvnKXXy8dTqn4xWVG/aAACAo+OpN8AOlqQf1ls7T8nTw6KUe0cQkgDAxRCUgBZanZmrv35yVJL0h4lRumFgD5MrAgC0NYIS0AL/PnxGj67dJ0n62Y39dVcCvZIAwBURlIBm2neqRA+sypLVZuj24b214PvXmV0SAKCdEJRaiKfe3NOp85d6JVVUW5XYr5v+NJleSQDgynjqrZV46s19lFys0R0vbNXhwnINDPHXmp+OVoAfbQAAwBnx1BvQhqpqrZr7SpYOF5YrJMBXK2bEE5IAwA0QlICrMAxDv3ljjz4/fladfb20YnqCQrt0MLssAIAdEJSAq3h6wyGtyz4tLw+LUu8dochQhlgBwF0QlIAreHV7rlI2HpMk/fH2oRpzXXeTKwIA2BNBCWjExoNF+u3bl3ol/fymAfpRXLjJFQEA7I2gBFzG3pMlmvfqTllthqbEhmn+zQPMLgkAYAKCUgvRR8l15Z27oJkvZ+pCtVXfHRCsRbcPpVcSALgp+ii1En2UXEvJhRpNfmGrjhaVa1BPf62ZO1r+tAEAAJdDHyWgmapqrZrzyg4dLSpXr0A/pc1IICQBgJsjKAGSbDZDv1qzR9tPnJO/r5dWzIhXz0A/s8sCAJiMoARIemrDIf1r96VeSS9MjdWgngyjAgAISoBWbftSz2+61Cvp/yYP0/X9g02uCADgKAhKcGsfHyjU//tPr6QF379Ok2PDTK4IAOBICEpwW3tOnteDr+6SzZDujAvXz27sb3ZJAAAHQ1CCW8o7d0Ez0zJ1scaqMdd115OTouiVBABogKAEt3P+QrWmrchQcXm1InsFKPXeEfL25FQAADTE1QFupbLGqvtX7tDxMxUKDfTTihnx6uzrZXZZAAAHRVBqIZYwcT42m6FfrtmtzC++kr+fl9JmJigkgF5JAIDGsYRJK7GEifNY9P4BLd18XN6eFr08M0GJ/WgDAADuiiVMgG9Y+fkXWrr5uCTpqSnRhCQAQJMQlODyNuwv0OPv7JckPTxuoCYO721yRQAAZ0FQgkvLzjuvh1671Cvp7oRwPXBDP7NLAgA4EYISXNaXZys0Ky1TlTU2jR3YXb+fQK8kAEDzEJTgks5VVGv6ikydrahWVO8APXfPCHnRKwkA0ExcOeByvu6VdKK4Qr27dNBL0+LViV5JAIAWICjBpdhshha8nq2sL79SgJ+X0mbEqwe9kgAALURQgkv54/sH9P7eAvl4emjZfXEaEOJvdkkAACdGUILLWPHZCS3/9IQk6ak7hmlU324mVwQAcHYEJbiED/cV6H/fzZEk/eYHgzQhhl5JAIDWIyjB6e3M/Uo/f22XDEP68agIzf1eX7NLAgC4CIISnNoXxRWa/fIOVdXadNOgHnp8/BB6JQEA2gxBCU7rbHmVpq/I0LmKag3tHai/3TOcXkkAgDblVleVSZMmqWvXrpoyZUqzXoPjqayxavbKHfri7AWFde2gF6fHqaMPvZIAAG3LrYLSQw89pJUrVzb7NTgWq83Qz1/bpV255xXYwVtpMxLUw59eSQCAtudWQWns2LHy9798X50rvQbH8uR7OVq/v1A+nh76+31x6t+js9klAQBclMMEpc2bN2v8+PEKDQ2VxWLRunXrGrwnNTVVffr0kZ+fn2JjY7Vlyxb7FwpTvfjpCa347AtJ0p9/FK2EPkHmFgQAcGkOM6mjoqJC0dHRmjFjhiZPntzg9dWrV2v+/PlKTU3V9ddfr6VLlyo5OVk5OTmKiIiQJMXGxqqqqqrBZzds2KDQ0NA2qbOqqqreMUpLS9tkv7i6D/bm68n3LvVKevSWQRof3TZ/pwAANMZhglJycrKSk5Mbff0vf/mLZs2apdmzZ0uSnnnmGa1fv17PP/+8Fi1aJEnKyspq9zoXLVqkJ554ot2Pg/qyvjynn6/OlmFI942+Rvd/l15JAID25zBDb1dSXV2trKwsJSUl1duelJSkrVu32rWWhQsXqqSkpO4rLy/Prsd3R8fPlGv2yztUXWvTzYND9Dt6JQEA7MRh7ihdSXFxsaxWq0JCQuptDwkJUUFBQZP3M27cOO3cuVMVFRUKCwvT2rVrFR8ff9XXvsnX11e+vr6t+4HQZMXlVZq+IlNfXahRdHgX/e3u4fL0ICQBAOzDKYLS1759F8EwjGbdWVi/fn2LXruclJQUpaSkyGq1NutzaLqL1VbNenmHcs9dUHhQB704LU4dfDzNLgsA4EacYugtODhYnp6eDe4eFRUVNbjLZC/z5s1TTk6OMjMzTTm+q7PaDD302i7tzjuvLh0v9UoK7sydPACAfTlFUPLx8VFsbKzS09PrbU9PT1diYqJJVaG9GIahJ/61X+k5hfLx8tDy++LUrzu9kgAA9ucwQ2/l5eU6evRo3fcnTpxQdna2goKCFBERoQULFmjq1KmKi4vT6NGjtWzZMuXm5mru3Lmm1MvQW/tZvuWEVn7+pSwW6Zk7YxR3Lb2SAADmsBiGYZhdhCRt2rRJY8eObbB92rRpSktLk3Sp4eTixYuVn5+vqKgoLVmyRGPGjLFzpfWVlpYqMDBQJSUlCggIMLUWV/DuntN68NVdkqT/+eFgzaYNAACgHTT1+u0wQclZEZTaTsaJc/rx8u2qtto0PfFa/W58JG0AAADtoqnXb6eYowTXd+xMue5fuUPVVpvGDQnRb28lJAEAzEdQaqGUlBRFRkZettcSmudMWZWmr8hQycUaDY/oomfupFcSAMAxMPTWSgy9tc6F6lrdtWyb9pws0TXdOuqtnyaqG20AAADtjKE3OLxaq00/e3WX9pwsUVAnH6XNSCAkAQAcCkEJpjAMQ4//a78+PlgkXy8P/f2+OPUJ7mR2WQAA1ENQaiHmKLXO0s3HtWpbriwW6dm7YhR7TVezSwIAoAHmKLUSc5Sa753dp/XQPy/1Svp/t0Zq5nf6mFwRAMDdMEcJDmnb8bP61eu7JUmzvtOHkAQAcGgEJdjN0aIyzflPr6TkqJ567JbBZpcEAMAVEZRgF0WllZr2UqZKK2sVe01XLbkzRh70SgIAODiCEtpdRVWtZr6cqVPnL6pPcCf9/b44+Xl7ml0WAABXRVBqIZ56a5paq00PvrpT+06VqlsnH6XNiFdQJx+zywIAoEl46q2VeOqtcYZh6NG1+/TPjFz5eXvon/eP0vAI2gAAAMzHU28wXeqmY/pnxqVeSX+9azghCQDgdAhKaBfrdp3SU+sPSZIeHz9ESUN6mlwRAADNR1BCm9t6rFgPv3GpV9KcMX01LfFacwsCAKCFCEpoU4cLy/STV7JUYzX0w6G99MgPBpldEgAALUZQaiGeemuosLRS01/KUFllreKv7ao//yiaXkkAAKfGU2+txFNvl5RX1epHL3yunPxS9e3eSW/9NFFdOtIGAADgmHjqDXZTY7XpgX/sVE5+qYI7+yhtegIhCQDgEghKaBXDMPQ/a/dp8+Ez6uDtqRenxSuiW0ezywIAoE0QlNAqz31yVKt35MnDIv3t7uGKDu9idkkAALQZghJa7M2sk/pz+mFJ0hMTonRzZIjJFQEA0LYISmiRz44W6zdv7pEkzf1eP00ddY3JFQEA0PYISmi2gwWlmvtKlmpthsZHh+rX4waaXRIAAO2CoNRC7tpHqaCkUjNWZKqsqlYJfYL09B3D6JUEAHBZ9FFqJXfqo1RWWaM7XvhcBwvK1L9HZ705N1GBHb3NLgsAgGajjxLa1Ne9kg4WlCm4s69WTI8nJAEAXB5BCVdlGIYefWuvthwpVkcfT62YHq/wIHolAQBcH0EJV/Xsx0e0JuukPCxSyj0jNDQs0OySAACwC4ISrmjNjjw989ERSdKTE4dq7KAeJlcEAID9EJTQqC1HzmjhW3slSQ/c0E/3jIwwuSIAAOyLoITLyjldqp+u2qlam6EJMaF6mF5JAAA3RFBCA/klFzUzLVPlVbUa1TdIi6cMk8VCryQAgPshKKGe0soaTX8pUwWllRrQo7OWTo2Tr5en2WUBAGAKghLqVNfa9NNVWTpUWKYe/r5Km5mgwA70SgIAuC+CUgu52hImhmHokbf26LOjZ9XJx1MvTY9X7y4dzC4LAABTsYRJK7nKEiZ/2XBIf/3kqDw9LHpxWpxuGEgbAACA62IJEzTZ6sxc/fWTo5KkP0yMIiQBAPAfBCU39+/DZ/To2n2SpJ/d2F93JdArCQCArxGU3Ni+UyV6YFWWrDZDtw/vrQXfv87skgAAcCgEJTd16vylXkkV1VYl9uumP02mVxIAAN9GUHJDJRdrNGNFhorKqjQwxF8vTI2Vjxf/KwAA8G1cHd1MVa1Vc1/J0uHCcoUE+GrFjHgF+NErCQCAyyEouRHDMPSbN/bo8+Nn1dnXSyumJyiUXkkAADSKoORG/rzhsNZln5aXh0Wp945QZKjz9n0CAMAeCEpu4tXtuXpu46VeSX+8fajGXNfd5IoAAHB8BCU3sPFgkX779qVeST+/aYB+FBduckUAADgHgpKL23uyRPNe3SmrzdCU2DDNv3mA2SUBAOA0CEouLO/cBc18OVMXqq367oBgLbp9KL2SAABoBoKSiyq5UKMZaZk6U1alQT39lXrvCHl78tcNAEBzuNWVc9KkSerataumTJlSb3teXp5uuOEGRUZGatiwYVqzZo1JFbaNqlqr5ryyQ0eLytUr0E9pMxLkT68kAACaza2C0kMPPaSVK1c22O7l5aVnnnlGOTk5+uijj/SLX/xCFRUVJlTYejaboV+t2aPtJ87J39dLK2bEq2egn9llAQDglNwqKI0dO1b+/v4Ntvfq1UsxMTGSpB49eigoKEjnzp2zc3Vt46kNh/Sv3Zd6Jb0wNVaDetIrCQCAlnKYoLR582aNHz9eoaGhslgsWrduXYP3pKamqk+fPvLz81NsbKy2bNnS5nXs2LFDNptN4eHO9wj9qm1f6vlNxyRJ/zd5mK7vH2xyRQAAODcvswv4WkVFhaKjozVjxgxNnjy5weurV6/W/PnzlZqaquuvv15Lly5VcnKycnJyFBERIUmKjY1VVVVVg89u2LBBoaGhV63h7Nmzuu+++7R8+fJG31NVVVXvGKWlpU358drdxwcK9f/+0ytpwfev0+TYMJMrAgDA+TlMUEpOTlZycnKjr//lL3/RrFmzNHv2bEnSM888o/Xr1+v555/XokWLJElZWVktPn5VVZUmTZqkhQsXKjExsdH3LVq0SE888USLj9Me9pw8rwdf3SWbId0ZF66f3djf7JIAAHAJDjP0diXV1dXKyspSUlJSve1JSUnaunVrq/dvGIamT5+uG2+8UVOnTr3iexcuXKiSkpK6r7y8vFYfvzXyzl3QzLRMXayxasx13fXkpCh6JQEA0EYc5o7SlRQXF8tqtSokJKTe9pCQEBUUFDR5P+PGjdPOnTtVUVGhsLAwrV27VvHx8frss8+0evVqDRs2rG5u1CuvvKKhQ4c22Ievr698fX1b9fO0lfMXqjVtRYaKy6sV2SuAXkkAALQxpwhKX/v2nRLDMJp192T9+vWX3f6d73xHNputWbWkpKQoJSVFVqu1WZ9rK5U1Vt2/coeOn6lQaKCfVsyIV2dfp/rrBADA4TnF7Yfg4GB5eno2uHtUVFTU4C6TvcybN085OTnKzMy0+7FtNkO/XLNbmV98JX8/L6XNTFBIAL2SAABoa04RlHx8fBQbG6v09PR629PT06848dpV/d+HB/Xennx5e1q0dGqsrgtp2BsKAAC0nsOM1ZSXl+vo0aN13584cULZ2dkKCgpSRESEFixYoKlTpyouLk6jR4/WsmXLlJubq7lz55pSr1lDbys//0JLNx+XJD01JVqJ/eiVBABAe7EYhmGYXYQkbdq0SWPHjm2wfdq0aUpLS5N0qeHk4sWLlZ+fr6ioKC1ZskRjxoyxc6X1lZaWKjAwUCUlJQoIaN8u2Bv2F2juqizZDOnhcQM1byxtAAAAaImmXr8dJig5K3sFpey887pr2eeqrLHp7oRw/XHSUNoAAADQQk29fjvFHCV39+XZCs1Ky1RljU1jB3bX7yfQKwkAAHsgKLVQSkqKIiMjFR8f367HOVdRrekrMnW2olpRvQP03D0j5EWvJAAA7IKht1Zqz6G3yhqr7l2+XVlffqXeXTpo7QOJ6kEbAAAAWo2hNydnsxla8Hq2sr78SgF+XkqbEU9IAgDAzghKDuqP7x/Q+3sL5OPpoWX3xWkAvZIAALA7glILteccJcMwFOzvK4tFeuqOYRrVt1ubHwMAAFwdc5RaqT3nKB0tKlf/Hp3bdJ8AAIA5Si6BkAQAgLkISgAAAI0gKAEAADSCoAQAANAIglIL2aszNwAAMA9PvbWSvRbFBQAAbYen3gAAAFqJoAQAANAIghIAAEAjCEoAAACNICi1EE+9AQDg+njqrZV46g0AAOfDU28AAACtRFACAABohJfZBTi7r0cuS0tLTa4EAAA01dfX7avNQCIotVJZWZkkKTw83ORKAABAc5WVlSkwMLDR15nM3Uo2m02nT5/WjTfeqB07djTpM/Hx8crMzLzie0pLSxUeHq68vDwmif9HU/7czGTv+trreG2139bspyWfbe5nOA9bxpHPQzNqc+Tz0N7nYHM/Z/Y5aBiGysrKFBoaKg+PxmcicUeplTw8PBQWFiYvL68m/yV6eno2+b0BAQH8gv6P5vy5mcHe9bXX8dpqv63ZT0s+29zPcB62jCOfh2bU5sjnob3PweZ+zhHOwSvdSfoak7nbyLx589rlvfgvR/9zs3d97XW8ttpva/bTks829zOO/v+To3LkPzczanPk89De52BzP+fI/y99E0NvDor+TID5OA8BcznCOcgdJQfl6+ur3/3ud/L19TW7FMBtcR4C5nKEc5A7SgAAAI3gjhIAAEAjCEoAAACNICgBAAA0gqAEAADQCIISAABAIwhKLmLSpEnq2rWrpkyZYnYpgFt49913NXDgQA0YMEDLly83uxzALdnj2kd7ABexceNGlZeX6+WXX9Ybb7xhdjmAS6utrVVkZKQ2btyogIAAjRgxQtu3b1dQUJDZpQFuxR7XPu4ouYixY8fK39/f7DIAt5CRkaEhQ4aod+/e8vf31y233KL169ebXRbgduxx7SMo2cHmzZs1fvx4hYaGymKxaN26dQ3ek5qaqj59+sjPz0+xsbHasmWL/QsF3ERrz8nTp0+rd+/edd+HhYXp1KlT9igdcBnOcm0kKNlBRUWFoqOj9dxzz1329dWrV2v+/Pl67LHHtGvXLn33u99VcnKycnNz694TGxurqKioBl+nT5+2148BuIzWnpOXm7FgsVjatWbA1bTFtdEuDNiVJGPt2rX1tiUkJBhz586tt23QoEHGI4880qx9b9y40Zg8eXJrSwTcSkvOyc8++8yYOHFi3WsPPfSQ8Y9//KPdawVcVWuuje197eOOksmqq6uVlZWlpKSketuTkpK0detWk6oC3FdTzsmEhATt27dPp06dUllZmd5//32NGzfOjHIBl+RI10Yvux4NDRQXF8tqtSokJKTe9pCQEBUUFDR5P+PGjdPOnTtVUVGhsLAwrV27VvHx8W1dLuDymnJOenl56c9//rPGjh0rm82mX//61+rWrZsZ5QIuqanXRntc+whKDuLb8xsMw2jWnAeeuAHa1tXOydtuu0233XabvcsC3MrVzkN7XPsYejNZcHCwPD09G9w9KioqapCkAbQ/zknAfI50HhKUTObj46PY2Filp6fX256enq7ExESTqgLcF+ckYD5HOg8ZerOD8vJyHT16tO77EydOKDs7W0FBQYqIiNCCBQs0depUxcXFafTo0Vq2bJlyc3M1d+5cE6sGXBfnJGA+pzkP2+15OtTZuHGjIanB17Rp0+rek5KSYlxzzTWGj4+PMWLECOPf//63eQUDLo5zEjCfs5yHrPUGAADQCOYoAQAANIKgBAAA0AiCEgAAQCMISgAAAI0gKAEAADSCoAQAANAIghIAAEAjCEoAAACNICgBAAA0gqAEAADQCIISAEj68MMP1aFDB9XW1tZtO3DggCwWi4qLi02sDICZCEoAICk7O1tDhgyRl5dXvW29e/dWcHCwiZUBMJPX1d8CAK5v9+7diomJqbdt165dGjp0aN32goICeXl5KTg4WP7+/tqyZYv9CwVgVwQlANClu0cPPPBAg21xcXH64IMPJEmPP/64goOD9eCDD5pRIgATMPQGwO1dvHhRR44cqXdHyWazaefOnYqOjjavMACmIygBcHvHjh2T1WrVwIED67atX79eZ8+eJSgBbo6gBMDtdevWTRaLRRkZGZKkbdu26cEHH1SHDh00YMAAk6sDYCbmKAFwe7169dLvf/973XfffercubNuuOEG3XHHHfr444/l6elpdnkATERQAgBJjz32mB577DGzywDgYBh6AwAAaITFMAzD7CIAAAAcEXeUAAAAGkFQAgAAaARBCQAAoBEEJQAAgEYQlAAAABpBUAIAAGgEQQkAAKARBCUAAIBGEJQAAAAaQVACAABoBEEJAACgEf8fTTDNM6vhL90AAAAASUVORK5CYII=", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "plt.loglog(u_t_arr, diff_rate_earth)\n", - "plt.xlabel(r'$u_{\\rm T}$')\n", - "plt.ylabel(r'$d\\Gamma/dt$')" - ] - }, - { - "cell_type": "code", - "execution_count": 36, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "7.65" - ] - }, - "execution_count": 36, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "0.9*8.5" - ] - }, - { - "cell_type": "code", - "execution_count": 37, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "0.08939406131809767\n", - "7.598495212038302e-07\n" - ] - } - ], - "source": [ - "Rs_pc = 2.3e-8\n", - "G_pc = 4.3e-3\n", - "ds_pc = 8.5e3\n", - "# dl_pc = 0.9*ds_pc # Try 3/4 of the way to the source instead\n", - "dl_pc = 7e3\n", - "print(Rs_pc**2 / (4 * G_pc * ds_pc) *(dl_pc/ds_pc)*(3e5)**2/(3e-6) )\n", - "print(Rs_pc**2 / (4 * G_pc * ds_pc*(1-dl_pc/ds_pc)) *(dl_pc/ds_pc)*(3e5)**2/2 ) #Location in solar masses\n" - ] - }, - { - "cell_type": "code", - "execution_count": 126, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "1.4340302747434424e-07" - ] - }, - "execution_count": 126, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "pbh.differential_rate_mw_lognorm(1, finite=True)" - ] - }, - { - "cell_type": "code", - "execution_count": 31, - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_14520/3093321778.py:178: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", - " result, error = quad(inner_integrand, u_min, u_max, args=(d, t), epsabs=epsabs, epsrel=epsrel)\n" - ] - }, - { - "data": { - "text/plain": [ - "3.6666755430044117e-07" - ] - }, - "execution_count": 31, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "#new rate_tot\n", - "pbh.rate_mw(finite=True, tcad = 0.25, tobs = 6*72*24, efficiency=None, epsabs=0, epsrel=1e-1)" - ] - }, - { - "cell_type": "code", - "execution_count": 122, - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - " 0%| | 0/80 [00:00]" - ] - }, - "execution_count": 1693, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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", 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "plt.plot(us, integrand_vals_u)\n" - ] - }, - { - "cell_type": "code", - "execution_count": 83, - "metadata": {}, - "outputs": [], - "source": [ - "def opt_depth_integrand(d):\n", - " return (pbh.mw_model.density_dm(d, l, b) + pbh.m31_model.density_dm(d, l, b))/pbh.mass * np.pi * einstein_rad(d, pbh.mass)**2\n", - "d_arr = np.logspace(-3, np.log10(ds*0.99), 1000)\n", - "opt_depth_arr = np.array([quad(opt_depth_integrand, 0, d)[0] for d in d_arr])" - ] - }, - { - "cell_type": "code", - "execution_count": 84, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "plt.loglog(d_arr, opt_depth_arr, color='darkgreen')\n", - "plt.ylim(1e-8, 1e-5)\n", - "plt.xlim(3, 1e3)\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 114, - "metadata": {}, - "outputs": [], - "source": [ - "pbh_wide = Pbh(m_lens, 1, l=1.0, b=-1.03, ds=8.5, lognorm=True, sigma=1.)\n", - "pbh_med = Pbh(m_lens, 1, l=1.0, b=-1.03, ds=8.5, lognorm=True, sigma=0.5)\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 116, - "metadata": {}, - "outputs": [], - "source": [ - "m_arr = np.logspace(-12, -1, 10000)\n", - "mass_func_arr = np.array([pbh.mass_function(m) for m in m_arr])\n", - "mass_func_arr_wide = np.array([pbh_wide.mass_function(m) for m in m_arr])\n", - "mass_func_arr_med = np.array([pbh_med.mass_function(m) for m in m_arr])\n" - ] - }, - { - "cell_type": "code", - "execution_count": 132, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "6.095704732823721\n" - ] - } - ], - "source": [ - "max1 = np.argmax(mass_func_arr)\n", - "max2 = np.argmax(mass_func_arr_wide)\n", - "print(mass_func_arr[max1]/ mass_func_arr_wide[max2])\n", - "# max(mass_func_arr)/max(mass_func_arr_wide)" - ] - }, - { - "cell_type": "code", - "execution_count": 122, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 122, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "plt.loglog(m_arr, 1/m_arr*mass_func_arr, label=\"sigma=0.01\")\n", - "plt.loglog(m_arr, 1/m_arr*mass_func_arr_med, label=\"sigma=0.5\")\n", - "plt.loglog(m_arr, 1/m_arr*mass_func_arr_wide, label=\"sigma=1.\")\n", - "plt.ylim(1e-6, 1e22)\n", - "plt.xlim(1e-12, 1e-6)\n", - "plt.legend()" - ] - }, - { - "cell_type": "code", - "execution_count": 120, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "0.7242763612503668" - ] - }, - "execution_count": 120, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "max(1/m_arr*mass_func_arr_wide)/max(1/m_arr*mass_func_arr)" - ] - }, - { - "cell_type": "code", - "execution_count": 121, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "0.32321539268840205" - ] - }, - "execution_count": 121, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "max(1/m_arr*mass_func_arr_med)/max(1/m_arr*mass_func_arr)" - ] - }, - { - "cell_type": "code", - "execution_count": 66, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "0.9999999999999808\n", - "0.9893455792686998\n" - ] - } - ], - "source": [ - "print(quad(lambda m: pbh.mass_function(m), 1e-10, 1e-6, epsabs=0, epsrel=1e-1)[0])\n", - "print(quad(lambda m: pbh_wide.mass_function(m), 1e-10, 1e-6, epsabs=0, epsrel=1e-1)[0])\n" - ] - }, - { - "cell_type": "code", - "execution_count": 63, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "1.0050125208600002e-07\n", - "1.648459526669144e-07\n" - ] - } - ], - "source": [ - "#Why are these means different?\n", - "print(quad(lambda m: m * pbh.mass_function(m), 1e-10, 1e-5, epsabs=0, epsrel=1e-1)[0])\n", - "print(quad(lambda m: m * pbh_wide.mass_function(m), 1e-10, 1e-5, epsabs=0, epsrel=1e-1)[0])\n" - ] - }, - { - "cell_type": "code", - "execution_count": 129, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "10050125.208942829\n", - "16488514.507231262\n", - "11331126.897983415\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_19487/2337308567.py:3: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", - " print(quad(lambda m: m**(-1) * pbh_med.mass_function(m), 1e-10, 1e-4, epsabs=0, epsrel=1e-1)[0])\n" - ] - } - ], - "source": [ - "print(quad(lambda m: m**(-1) * pbh.mass_function(m), 1e-10, 1e-4, epsabs=0, epsrel=1e-1)[0])\n", - "print(quad(lambda m: m**(-1) * pbh_wide.mass_function(m), 1e-10, 1e-4, epsabs=0, epsrel=1e-1)[0])\n", - "print(quad(lambda m: m**(-1) * pbh_med.mass_function(m), 1e-10, 1e-4, epsabs=0, epsrel=1e-1)[0])\n" - ] - }, - { - "cell_type": "code", - "execution_count": 130, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "0.886920198421867" - ] - }, - "execution_count": 130, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "10050125.208597425/11331487.57518435 * " - ] - }, - { - "cell_type": "code", - "execution_count": 131, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "0.6095717733279549" - ] - }, - "execution_count": 131, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "10050125.208597425/16487189.28327144" - ] - }, - { - "cell_type": "code", - "execution_count": 145, + "execution_count": 145, "metadata": {}, "outputs": [ { @@ -1547,65 +504,7 @@ }, { "cell_type": "code", - "execution_count": 35, - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - " 0%| | 0/30 [00:00" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "plt.loglog(ts, diff_rate_mono_finite, label=\"Monochromatic\", color=\"lightblue\", linestyle=\"--\")\n", - "plt.loglog(ts, diff_rate_lognorm_finite, label=\"Lognorm\", color=\"cyan\", linestyle=\"-.\")\n", - "plt.loglog(ts, diff_rate_lognorm_wide_finite, label=\"Lognorm Wider\", color=\"darkblue\", linestyle=\":\")\n", - "\n", - "plt.xlim(1e-1, 1e2)\n", - "# plt.ylim(1e-8, 1e-5)\n", - "plt.legend()\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 7, + "execution_count": 11, "metadata": {}, "outputs": [], "source": [ @@ -1695,46 +594,6 @@ "result_m31 = np.array([pbh.differential_rate_m31(t, finite=False) for t in ts])" ] }, - { - "cell_type": "code", - "execution_count": 767, - "metadata": {}, - "outputs": [], - "source": [ - "result_mw_fwhm = np.array([pbh.differential_rate_mw(t, finite=False, t_fwhm=True) for t in ts])\n", - "result_m31_fwhm = np.array([pbh.differential_rate_m31(t, finite=False, t_fwhm=True) for t in ts])" - ] - }, - { - "cell_type": "code", - "execution_count": 768, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "plt.loglog(ts, result_mw, label=\"MW\", color=\"lightblue\", linestyle=\"--\")\n", - "plt.loglog(ts, result_m31, label=\"M31\", color=\"cyan\", linestyle=\"-.\")\n", - "\n", - "plt.loglog(ts, result_mw_fwhm, label=\"MW FWHM\", color=\"darkblue\", linestyle=\":\")\n", - "plt.loglog(ts, result_m31_fwhm, label=\"M31 FWHM\", color=\"blue\", linestyle=\"-.\")\n", - "\n", - "# plt.loglog(ts, np.array(result_mw) + np.array(result_m31), label=\"Total\", color=\"blue\")\n", - "plt.xlim(1e-2, 1e1)\n", - "plt.ylim(1e-8, 1e-5)\n", - "plt.legend()\n", - "plt.show()" - ] - }, { "cell_type": "code", "execution_count": 11, @@ -1764,152 +623,6 @@ "result_m31_finite_fwhm = np.array([pbh.differential_rate_m31(t, finite=True, t_fwhm=True) for t in ts])" ] }, - { - "cell_type": "code", - "execution_count": 949, - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/Users/nolansmyth/opt/anaconda3/lib/python3.9/site-packages/scipy/integrate/_quadpack_py.py:1233: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", - " quad_r = quad(f, low, high, args=args, full_output=self.full_output,\n" - ] - } - ], - "source": [ - "result_mw_finite_fwhm_pointuh = np.array([pbh.differential_rate_mw(t, finite=True, t_fwhm=True) for t in ts])\n", - "result_m31_finite_fwhm_pointuh = np.array([pbh.differential_rate_m31(t, finite=True, t_fwhm=True) for t in ts])" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "metadata": {}, - "outputs": [], - "source": [ - "data = [\n", - " [0.01025159072241831, 1.7621048479375022e-8],\n", - " [0.011749210071050412, 2.275845926074791e-8],\n", - " [0.013010968590057192, 2.8338767124544285e-8],\n", - " [0.015172599513934704, 3.660092518663994e-8],\n", - " [0.018150374932612852, 4.9935878934731396e-8],\n", - " [0.021342877996043896, 6.689548786914154e-8],\n", - " [0.024469204734566336, 8.329806647658273e-8],\n", - " [0.030032772921632634, 1.1787686347935867e-7],\n", - " [0.03592700699000345, 1.6082338776670456e-7],\n", - " [0.04262892307911706, 2.0771139259664584e-7],\n", - " [0.05469664912498203, 2.634116147541181e-7],\n", - " [0.06900941075296256, 3.1622776601683855e-7],\n", - " [0.08857560802715489, 3.866353752192416e-7],\n", - " [0.12283421184247999, 5.085682063672464e-7],\n", - " [0.15638060300786213, 5.886284783911139e-7],\n", - " [0.20253712845316588, 6.938567878737194e-7],\n", - " [0.2470358549514784, 7.602429140842648e-7],\n", - " [0.2763758014285721, 8.030857221391537e-7],\n", - " [0.31751457701013913, 8.030857221391537e-7],\n", - " [0.3616892285784637, 7.88543029093589e-7],\n", - " [0.41222248524188604, 7.329584652846327e-7],\n", - " [0.45782876542269824, 6.689548786914153e-7],\n", - " [0.5359170076153679, 5.779692884153325e-7],\n", - " [0.6007544242560869, 4.948168092155156e-7],\n", - " [0.6795358250644348, 4.084238652674534e-7],\n", - " [0.7965346544989818, 3.0487862993011716e-7],\n", - " [0.9256949197478721, 2.2551456856869547e-7],\n", - " [1.1050115390216486, 1.536412870228796e-7],\n", - " [1.2739795793681672, 1.056354103749187e-7],\n", - " [1.488016811495529, 7.26291750173622e-8],\n", - " [1.701175465649317, 4.858564096319701e-8],\n", - " [1.9450364722110915, 3.2205979187210826e-8],\n", - " [2.2432251551002356, 2.13483876067981e-8],\n", - " [2.743761366010025, 1.0956769860448866e-8]\n", - "]\n", - "\n", - "# Convert the data into numpy arrays\n", - "data_array = np.array(data)\n", - "x = data_array[:, 0] # First column is x values\n", - "y = data_array[:, 1] # Second column is y values" - ] - }, - { - "cell_type": "code", - "execution_count": 1420, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# plt.loglog(ts, np.array(result_mw) + np.array(result_m31), label=\"Total, Point Source\", color=\"lightgreen\", linestyle=\"--\")\n", - "# plt.loglog(ts, (result_mw_finite + result_m31_finite), label=\"Total Finite\", color=\"blue\")\n", - "# plt.loglog(ts, (result_mw_finite + result_m31_finite)/2, label=\"Total Finite/2\", color=\"blue\", ls='--')\n", - "\n", - "plt.loglog(ts, (result_mw_finite_fwhm + result_m31_finite_fwhm), label=\"Total Finite FWHM\", color=\"green\", linestyle=\"--\")\n", - "plt.loglog(ts, (result_mw_finite_fwhm_pointuh + result_m31_finite_fwhm_pointuh), label=\"Total Finite FWHM (point HM)\", color=\"orange\", linestyle=\"--\")\n", - "\n", - "# plt.loglog(ts, result_m31_finite_fwhm, label=\"M31 FWHM\", color=\"green\", linestyle=\"-.\")\n", - "\n", - "# plt.loglog(ts, result_mw_finite_fwhm, label=\"MW FWHM\", color=\"lightblue\", linestyle=\"--\")\n", - "# plt.loglog(ts, result_m31_finite_fwhm, label=\"M31 FWHM\", color=\"cyan\", linestyle=\"-.\")\n", - "\n", - "plt.loglog(x, y*2, label=\"Niikura Total\", color=\"Red\", linestyle=\"--\")\n", - "\n", - "plt.xlim(1e-2, 1e1)\n", - "plt.ylim(1e-8, 1e-5)\n", - "plt.xlabel(r\"$t$ [hr]\")\n", - "plt.ylabel(r\"$d\\Gamma/dt$ [events/star/hr/hr]\")\n", - "plt.title(\"m = {}\".format(pbh.mass) + r\"$M_\\odot$\")\n", - "plt.legend()\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 356, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# plt.loglog(ts, np.array(result_mw) + np.array(result_m31), label=\"Total, Point Source\", color=\"lightgreen\", linestyle=\"--\")\n", - "plt.loglog(ts, (result_mw_finite + result_m31_finite), label=\"Total Finite\", color=\"blue\")\n", - "# plt.loglog(ts, (result_mw_finite + result_m31_finite)/2, label=\"Total Finite/2\", color=\"blue\", ls='--')\n", - "\n", - "plt.loglog(ts, (result_mw_finite_fwhm + result_m31_finite_fwhm), label=\"Total Finite FWHM\", color=\"green\", linestyle=\"--\")\n", - "# plt.loglog(ts, result_m31_finite_fwhm, label=\"M31 FWHM\", color=\"green\", linestyle=\"-.\")\n", - "\n", - "# plt.loglog(ts, result_mw_finite, label=\"MW\", color=\"lightblue\", linestyle=\"--\")\n", - "# plt.loglog(ts, result_m31_finite, label=\"M31\", color=\"cyan\", linestyle=\"-.\")\n", - "\n", - "plt.loglog(x, y, label=\"Niikura Total\", color=\"Red\", linestyle=\"--\")\n", - "\n", - "plt.xlim(1e-2, 1e1)\n", - "plt.ylim(1e-8, 1e-5)\n", - "plt.xlabel(r\"$t$ [hr]\")\n", - "plt.ylabel(r\"$d\\Gamma/dt$ [events/star/hr/hr]\")\n", - "plt.title(\"m = {}\".format(pbh.mass) + r\"$M_\\odot$\")\n", - "plt.legend()\n", - "plt.show()" - ] - }, { "cell_type": "code", "execution_count": null, diff --git a/nbs/01_ffp.ipynb b/nbs/01_ffp.ipynb index c017710..a1dad44 100644 --- a/nbs/01_ffp.ipynb +++ b/nbs/01_ffp.ipynb @@ -21,7 +21,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 1, "metadata": {}, "outputs": [], "source": [ @@ -31,7 +31,7 @@ }, { "cell_type": "code", - "execution_count": 60, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ @@ -60,18 +60,9 @@ }, { "cell_type": "code", - "execution_count": 61, + "execution_count": 3, "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "The autoreload extension is already loaded. To reload it, use:\n", - " %reload_ext autoreload\n" - ] - } - ], + "outputs": [], "source": [ "%load_ext autoreload\n", "%autoreload 2" @@ -79,7 +70,7 @@ }, { "cell_type": "code", - "execution_count": 62, + "execution_count": 4, "metadata": {}, "outputs": [], "source": [ @@ -184,45 +175,6 @@ " 1)\n", "\n", " def differential_rate(self, t, integrand_func, finite=False, epsabs = 1.49e-08, epsrel = 1.49e-08):\n", - " # #rewrite using tplquad?\n", - " # num = 40 # number of discretization points, empirically, result levels off for >~ 40\n", - " # mf_values = np.linspace(np.log10(self.m_min), np.log10(self.m_max), num=num)\n", - "\n", - " # result = 0\n", - " # for i in range(num):\n", - " # mf = mf_values[i]\n", - " # if i == 0: # for the first point\n", - " # dm = mf_values[i+1] - mf_values[i]\n", - " # elif i < num - 1: # for middle points\n", - " # dm = ((mf_values[i+1] - mf_values[i]) + (mf_values[i] - mf_values[i-1])) / 2\n", - " # else: # for the last point\n", - " # dm = mf_values[i] - mf_values[i-1]\n", - " # if finite:\n", - " # single_result, error = dblquad(integrand_func, \n", - " # # 0, 10, \n", - " # 0, self.d_upper_bound(10**mf),\n", - " # lambda d: 0, \n", - " # lambda d: self.umin_upper_bound(d, 10**mf),\n", - " # args=(10**mf, t),\n", - " # epsabs=epsabs,\n", - " # epsrel=epsrel,\n", - " # )\n", - " # else:\n", - " # single_result, error = dblquad(integrand_func,\n", - " # #Without finite size effects, integral blows up at M31 center\n", - " # 0, self.ds,\n", - " # lambda d: 0, \n", - " # lambda d: self.u_t,\n", - " # args=(10**mf, t),\n", - " # epsabs=epsabs,\n", - " # epsrel=epsrel,\n", - " # )\n", - " \n", - " # result += single_result * ((10**mf/1) ** -self.p) * dm # multiply by mass function and by dlogm. This is for dN/dlogM\n", - "\n", - " # result *= self.Z # normalization\n", - " # return result\n", - "\n", "\n", " def inner_integrand(u, d, m):\n", " return integrand_func(u, d, m, t)\n", @@ -354,7 +306,7 @@ }, { "cell_type": "code", - "execution_count": 63, + "execution_count": 5, "metadata": {}, "outputs": [], "source": [ @@ -365,103 +317,7 @@ }, { "cell_type": "code", - "execution_count": 33, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "array([3.5014054])" - ] - }, - "execution_count": 33, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "f.umin_upper_bound(1, 3e-6)" - ] - }, - { - "cell_type": "code", - "execution_count": 30, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "1.009997124512126" - ] - }, - "execution_count": 30, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "magnification(3.5)" - ] - }, - { - "cell_type": "code", - "execution_count": 54, - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "100%|██████████| 20/20 [03:32<00:00, 10.63s/it]\n" - ] - } - ], - "source": [ - "u_t_arr = np.linspace(0.1, 10, 20)\n", - "diff_rate_earth_log_un_1 = []\n", - "for u_t in tqdm(u_t_arr):\n", - " f.u_t = u_t\n", - " diff_rate_earth_log_un_1.append(np.log10(f.differential_rate_total(10, finite=True)))\n", - "diff_rate_earth_log_un_1 = np.array(diff_rate_earth_log_un_1)" - ] - }, - { - "cell_type": "code", - "execution_count": 55, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "Text(0.5, 1.0, 'Earth mass')" - ] - }, - "execution_count": 55, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "plt.plot(u_t_arr, 10**diff_rate_earth_log_un_1)\n", - "plt.yscale('log')\n", - "plt.xlabel(r'$u_t$')\n", - "plt.ylabel(r'$d\\Gamma/dt$ at t=10 h')\n", - "plt.title(r'Earth mass')" - ] - }, - { - "cell_type": "code", - "execution_count": 105, + "execution_count": 7, "metadata": {}, "outputs": [ { @@ -470,105 +326,20 @@ "2.834948673444066e-13" ] }, - "execution_count": 105, + "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "#new\n", "f.differential_rate_mw(10, finite=True, v_disp=220)" ] }, - { - "cell_type": "code", - "execution_count": 106, - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "\n", - " 0%| | 0/30 [00:00 Modeling and parameter extraction of lightcurves" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "#| default_exp galaxy" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "#| hide\n", + "from nbdev.showdoc import *" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "#| export\n", + "from LensCalcPy.parameters import *\n", + "from LensCalcPy.utils import *\n", + "from LensCalcPy.lens import *\n", + "from scipy.integrate import quad, nquad\n", + "from scipy.optimize import fsolve\n", + "from scipy.interpolate import RegularGridInterpolator\n", + "from tqdm import tqdm\n", + "\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "from fastcore.test import *\n", + "\n", + "from abc import ABC, abstractmethod" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "#Nothing implemented yet, just a dump for future work\n", + "\n", + "def A_ps(u):\n", + " return (u**2 + 2) / (u * (u**2 + 4)**(1/2))\n", + "\n", + "def f_func(x):\n", + " return (2 + x)/(x*(4+x))**(0.5) - 1\n", + "\n", + "def t_fwhm_gondolo(t_e, umin):\n", + " deltab = f_func(umin**2)\n", + " bw2 = 2* f_func(deltab)\n", + " w_b = 2*(bw2 - umin**2)**(1/2)\n", + " return w_b * t_e\n", + "\n", + "def t_E_from_t_fwhm(t_fwhm, umin):\n", + " deltab = f_func(umin**2)\n", + " bw2 = 2* f_func(deltab)\n", + " w_b = 2*(bw2 - umin**2)**(1/2)\n", + " return t_fwhm / w_b\n", + "\n", + "def ellip(phi, m):\n", + " return quad(lambda x: np.sqrt(1 - m**2*np.sin(x)**2), 0, phi)[0]\n", + "\n", + "def theta_max(u, rho):\n", + " if u <= rho:\n", + " return np.pi/2\n", + " else:\n", + " return np.arcsin(rho/u)\n", + "\n", + "def A_gould(u, rho):\n", + " return A_ps(u) * 4*u / (np.pi * rho) * ellip(theta_max(u, rho), u/rho)\n", + "\n", + "def f_func_finite(u, rho):\n", + " return A_gould(u, rho) - 1\n", + "\n", + "def t_fwhm_gondolo(t_e, umin):\n", + " deltab = f_func(umin**2)\n", + " bw2 = 2* f_func(deltab)\n", + " w_b = 2*(bw2 - umin**2)**(1/2)\n", + " return w_b * t_e\n", + "\n", + "def t_fwhm_gondolo_finite(t_e, umin, rho):\n", + " func = lambda b: f_func_finite(b,rho) - f_func_finite(umin**2,rho)*0.5\n", + " bw = fsolve(func,1)[0]\n", + " w_b = 2*(bw**2 - umin**2)**(1/2)\n", + " return w_b * t_e\n", + "\n", + "# def t_E_from_t_fwhm_finite(t_fwhm, umin, rho):\n", + "# if rho >=10:\n", + "# return t_fwhm/rho/2\n", + "# func = lambda b: f_func_finite(b,rho) - f_func_finite(umin**2,rho)*0.5\n", + "# bw = fsolve(func,1)[0]\n", + "# w_b = 2*(bw**2 - umin**2)**(1/2)\n", + "# return t_fwhm / w_b\n", + "\n", + "def t_E_from_t_fwhm_finite(t_fwhm, umin, rho):\n", + " if rho >=1:\n", + " return t_fwhm/rho/2\n", + " return t_E_from_t_fwhm(t_fwhm, umin)\n", + "\n", + "def magnification_finite_new(u, rho):\n", + " integrand = lambda r, theta: integrand_polar(r, theta, u)\n", + " result, _ = nquad(integrand, [[0, rho], [0, 2 * np.pi]])\n", + " return result / (np.pi * rho**2)\n", + "def u_fwhm_func(rho, umin):\n", + " Amax = magnification_finite_new(umin, rho)\n", + " func = lambda u: magnification_finite_new(u, rho) - (1+(1-Amax)/2)\n", + " return fsolve(func, 1, xtol=1e-2)[0]\n", + "\n", + "def t_duration(t_e, umin, finite, rho=None, ut=1):\n", + " if not finite:\n", + " return 2*(ut**2 - umin**2)**(1/2) * t_e\n", + " else:\n", + " if ut_func_new(rho, 1.34)[0] <= umin:\n", + " return 0\n", + " return (2*(ut_func_new(rho, 1.34)**2 - umin**2)**(1/2) * t_e)[0]\n" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 30/30 [02:06<00:00, 4.22s/it]\n", + " 0%| | 0/30 [00:00 0 to a scalar is deprecated, and will error in future. Ensure you extract a single element from your array before performing this operation. (Deprecated NumPy 1.25.)\n", + " return mag_finite_interp([float(rho), float(u)])\n", + "/Users/nolansmyth/opt/anaconda3/lib/python3.9/site-packages/scipy/optimize/_minpack_py.py:177: RuntimeWarning: The iteration is not making good progress, as measured by the \n", + " improvement from the last ten iterations.\n", + " warnings.warn(msg, RuntimeWarning)\n", + "100%|██████████| 30/30 [00:00<00:00, 38.93it/s]\n" + ] + } + ], + "source": [ + "u_vals = np.logspace(-2, 1, 30)\n", + "rho_vals = np.logspace(-2, 1, 30)\n", + "z_vals = np.array([[magnification_finite_new(u, rho) for u in u_vals] for rho in tqdm(rho_vals)])\n", + "mag_finite_interp = RegularGridInterpolator((rho_vals, u_vals), z_vals, method='linear', bounds_error=False, fill_value=None)\n", + "\n", + "def fast_magnification_finite_new(u, rho):\n", + " return mag_finite_interp([float(rho), float(u)])\n", + " \n", + "def fast_u_fwhm_func(rho, umin):\n", + " Amax = fast_magnification_finite_new(umin, rho)\n", + " if Amax<1:\n", + " return 0\n", + " func = lambda u: fast_magnification_finite_new(u, rho) - (1+(Amax-1)/2)\n", + " return fsolve(func, 1)\n", + "\n", + "z_u_vals = np.array([[fast_u_fwhm_func(rho, u) for u in u_vals] for rho in tqdm(rho_vals)])\n", + "u_fwhm_interp = RegularGridInterpolator((rho_vals, u_vals), z_u_vals, method='linear', bounds_error=False, fill_value=None)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "def t_fwhm(t_e, umin, finite, rho=None, ut=1):\n", + " if not finite:\n", + " return t_fwhm_gondolo(t_e, umin)\n", + " else:\n", + " Amax = 1 + 1/rho\n", + " u_fwhm = u_fwhm_interp([rho, umin])[0]\n", + " if u_fwhm<=umin:\n", + " return 0\n", + " return 2*(u_fwhm**2 - umin**2)**(1/2) * t_e\n", + " \n", + "def t_e_from_fwhm(t_fwhm, umin, finite, rho=None, ut=1):\n", + " if not finite:\n", + " return t_fwhm / t_fwhm_gondolo(1, umin)\n", + " else:\n", + " u_fwhm = u_fwhm_interp([rho, umin])[0]\n", + " if u_fwhm<=umin:\n", + " print('u_fwhm<=umin')\n", + " return 1e-3\n", + " return t_fwhm / (2*(u_fwhm**2 - umin**2)**(1/2))\n", + " " + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "umin_arr = np.logspace(-1, 0.4, 100)\n", + "rho= 1\n", + "fast_Amax_arr = np.array([fast_magnification_finite_new(umin, rho) for umin in umin_arr])\n", + "\n", + "fast_uhm_arr = np.array([u_fwhm_interp([rho, umin]) for umin in umin_arr])\n", + "ut_arr = np.array([ut_func_new(1.2, Amax) for Amax in fast_Amax_arr])\n", + "uhm_arr = np.array([ut_func_new(1.2, 1+(Amax-1)/2) for Amax in fast_Amax_arr])\n", + "uhm_point_arr = np.array([(2* f_func(f_func(umin**2)))**(1/2) for umin in umin_arr])" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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VvXTrsGzFRFF2gFBFyQkAJQcIf7X1DXprY6FeWLGn8fTzNIdd91/eSz8c2ZU9O0AIouQEgJIDRI7a+ga9s+mAnl++R8XOWkn+PTsPfq+3bhmazT2ygBBCyQkAJQeIPG5Pg97edFDPfbJbJS5/2cnqGKuHv9dH378oUzYmKANBj5ITAEoOELlOHsZ6bvkeHa7wH8bqmRKv/zeur/IGdZGFU8+BoEXJCQAlB0BNXYPeWL9fzy/frWPV/rOxBmU69NPx/XRZnxQuKggEIUpOACg5AE6qqK3Xy6sK9PKqvao6cZ2dS/uk6DeTLlTX5DiT0wH4NkpOACg5AL7rSKVbLyzfo9fX71edx6uYKItmXH2B7rqkB/N1gCBByQkAJQdAcwrKq/Togi+1bu8RSdLADId++/3BujAryeRkAAL9/ObPEgA4jR4p8Xrz30bqqZsGKyk2Sl8VuXTDc6v16uoCRfDfhkBIoeQAQDMMw9Ctw7P1zxmX69oL0+X1Sf/1wTb94m9fqs7jNTsegLOg5ADAWXROtGv2bbn65bX9ZTGk+ZsO6PaX1zfeLgJAcKLkAEAADMPQPZf21CvThivRbtOn+47phtlrtK3IZXY0AM2g5ADAORjbN1ULp49W9+Q4HTpeo5tfXKtPdpSaHQvAaVByAOAc9U5N1KLpl2h0r2RV1zXonr9s0pw1BWbHAvAdlBwAOA8d4qL1l7tGaPKwbHl90q/e36Yn3tsqTwMTkoFgQckBgPMUZbXotzddqJl5/SRJf1m3X/e8vkmVbo/JyQBIlBwAaBHDMHTv5b304o8uUkyURct3HtatL65T6Yk7nAMwDyUHAFrBNYPSNf/Ho5SSEK1txS59//m12lVaYXYsIKJRcgCgleRkd9CC+y9Rz5R4HTpeo5teWKv1J24LAaD9UXIAoBV1TY7T3+4fraHdOspV69GUVzbq/S1FZscCIhIlBwBaWcf4aM29Z6SuGdhFdQ1ePTRvM6eYAyag5ABAG4iJsuq52y/StNHdJflPMf/d0h3c3BNoR5QcAGgjVouhJyYO0CPjLpAkPbdsj2Yu+JJr6QDthJIDAG3IMAw9+L0+mvX9C2UxpLc+PaAH5n6u2voGs6MBYY+SAwDt4Icjuur524cq2mbRR9tKNW3ORi4aCLQxSg4AtJNrBnXR63eNUILdpvV7j+r2P6/Xsao6s2MBYYuSAwDt6OKeyXrz30aqY1yUthx0avKf1qmMqyMDbYKSAwDtbHBWB7197yilOez6urRSN7+4TgeOVpsdCwg7lBwAMEGftES9e99ode0Up8Kj1brlxXXac7jS7FhAWKHkAIBJsjvF6Z37RqlPaoJKXLWa/NJ6fc39roBWQ8kBABOlOWL01o8vVv90h8or3frBn9ZrW5HL7FhAWKDkAIDJkhPsmvdvIzU4K0lHq+r0wz+v1xcHj5sdCwh5lBwACAId4qL1xj0jdVHXDnLW1Ov2P2/Q54XHzI4FhDRKDgAECUdMlF6/e6RG9OikCrdHU1/ZqC8POs2OBYQsSg4ABJEEu02v3TlcI7r7i84dr27QzhImIwPnIyhKzqxZszR8+HAlJiYqNTVVkyZN0s6dO8+63YoVKzR06FDFxMSoZ8+eevHFF9shLQC0rbhom16ZNkw52R10vLpet7+8QXs5vRw4Z0FRclasWKHp06dr/fr1+vjjj+XxeDRu3DhVVVU1u01BQYEmTJigSy+9VJs3b9ajjz6qhx9+WH/729/aMTkAtI3EmCj95c7h6tclUeWVbt3+8gYuGAicI8Pn8/nMDvFdhw8fVmpqqlasWKHLLrvstGN+/vOfa/Hixdq+fXvjuvvuu09btmzRunXrAnodl8ulpKQkOZ1OORyOVskOAK2pvNKtyS+t057DVeraKU7vPzRGSbFRZscCTBXo53dQ7Mn5LqfTP9GuU6dOzY5Zt26dxo0b12Td+PHjtWnTJtXX17dpPgBoLykJdr35bxcrq2OsCo9Wa86aArMjASEj6EqOz+fTjBkzNGbMGA0aNKjZcSUlJUpLS2uyLi0tTR6PR+Xl5afdxu12y+VyNVkAINilOWL082v6SZJeXV2gilr+kAMCEXQl58EHH9QXX3yhefPmnXWsYRhNHp888vbd9SfNmjVLSUlJjUt2dnbLAwNAO5hwYbp6do6Xq9aj19ftNzsOEBKCquQ89NBDWrx4sZYtW6asrKwzju3SpYtKSkqarCsrK5PNZlNycvJpt5k5c6acTmfjcuDAgVbLDgBtyWox9ODY3pKkV1YXqLrOY3IiIPgFRcnx+Xx68MEHtWDBAn3yySfq0aPHWbcZNWqUPv744ybrPvroIw0bNkxRUaeflGe32+VwOJosABAqrs/JULfkOB2tqtPc9YVmxwGCXlCUnOnTp+uNN97Qm2++qcTERJWUlKikpEQ1NTWNY2bOnKkpU6Y0Pr7vvvu0f/9+zZgxQ9u3b9err76qV155RY888ogZvwIAtDmb1aIHruglSXpp5V7V1jeYnAgIbkFRcl544QU5nU5dccUVSk9Pb1zmz5/fOKa4uFiFhd/85dKjRw8tWbJEy5cv15AhQ/TrX/9af/zjH3XTTTeZ8SsAQLu4MTdLmR1iVV7p1lsb2ZsDnElQXienvXCdHACh6K/r9+s/F21VF0eMVvzsCtltVrMjAe0qpK+TAwBo3i1Ds5TmsKvEVat3PztodhwgaFFyACDExERZde9l/rk5LyzfI0+D1+REQHCi5ABACPrhiK5Kjo/WwWM1+uCLYrPjAEGJkgMAISg22qo7L+kuyb83x+uN2OmVQLMoOQAQou4Y1V0Jdpt2llbokx1lZscBgg4lBwBCVFJslH50cTdJ0vPLdyuCT5YFTouSAwAh7K4x3RVts+jzwuPaUHDU7DhAUKHkAEAIS02M0a3D/Pf6e375HpPTAMGFkgMAIe7ey3rJajG08uvD2nrIaXYcIGhQcgAgxGV3itPEwemS/GdaAfCj5ABAGLj/it6SpCVbi7X3cKXJaYDgQMkBgDDQt0uiruqfKp9P+vOqArPjAEGBkgMAYeLHJ2718LfPD+pwhdvkNID5KDkAECaGd++oIdkdVOfx6vV1+8yOA5iOkgMAYcIwDN13eU9J0l/X71d1ncfkRIC5KDkAEEauHtBF3ZPjdLy6Xm9/esDsOICpKDkAEEasFkP3XOrfm/Py6gJ5GrwmJwLMQ8kBgDBz89AsJcdH6+CxGv1ja4nZcQDTUHIAIMzERFk1ZVR3SdJLK/dw405ELEoOAIShO0Z1U0yURVsPubRuzxGz4wCmoOQAQBjqFB+tW4dlS5JeWrnX5DSAOSg5ABCm7hnTUxZDWvH1Ye0qrTA7DtDuKDkAEKa6Jsdp3IAukqRX13CrB0QeSg4AhLG7L+0hSfrb54d0pJJbPSCyUHIAIIwN69ZRg7OSVOfxau6GQrPjAO2KkgMAYcwwDN09xr835/V1++X2NJicCGg/lBwACHMTLkxXelKMyivdWpxfZHYcoN1QcgAgzEVZLZo6ursk6ZXVBVwcEBGDkgMAEeCHw7sqNsqqHSUVWsvFAREhKDkAEAGS4qJ067AsSdLLq7g4ICIDJQcAIsSdl/SQYUjLdh7W7rJKs+MAbY6SAwARontKvK7slyZJ+svafeaGAdoBJQcAIshdY7pLkv72+UE5a+rNDQO0MUoOAESQUT2T1TctUdV1DXpn0wGz4wBtipIDABHEMIzG08lfX7dfDV5OJ0f4ouQAQISZlJuhpNgoFR6t1vKdZWbHAdoMJQcAIkxctE0/GJ4tSXqNCcgIY5QcAIhAP7q4myyGtGpXuXaVVpgdB2gTlBwAiEDZneJ0Vf8Tp5Ov22duGKCNUHIAIEJNu6S7JGnB54c4nRxhiZIDABGK08kR7ig5ABChvns6uZfTyRFmKDkAEMFuzM2UI8amwqPVWrHrsNlxgFZFyQGACBYbbdUtw/ynk/913X6T0wCtK2hKzsqVKzVx4kRlZGTIMAwtWrTorNvMnTtXOTk5iouLU3p6uu68804dOXKk7cMCQBj50cXdJEnLdpbpwNFqk9MArSdoSk5VVZVycnI0e/bsgMavXr1aU6ZM0d13362vvvpK77zzjj799FPdc889bZwUAMJLj5R4XdonRT6fNHdDodlxgFZjMzvASXl5ecrLywt4/Pr169W9e3c9/PDDkqQePXro3nvv1VNPPdVWEQEgbN1xcTet2lWutzcd0E+u6qOYKKvZkYAWC5o9Oedq9OjROnjwoJYsWSKfz6fS0lK9++67uvbaa82OBgAh53v9UpWRFKOjVXX6x9Zis+MArSKkS87cuXM1efJkRUdHq0uXLurQoYP+7//+r9lt3G63XC5XkwUAINmsFt02sqsk/+nkQDgI2ZKzbds2Pfzww3r88cf12Wef6cMPP1RBQYHuu+++ZreZNWuWkpKSGpfs7Ox2TAwAwW3y8K6KshraXHhcWw85zY4DtJjh8/mC7upPhmFo4cKFmjRpUrNj7rjjDtXW1uqdd95pXLd69WpdeumlKioqUnp6+inbuN1uud3uxscul0vZ2dlyOp1yOByt+jsAQCh6eN5mLd5SpB8Mz9ZvbxpsdhzgtFwul5KSks76+R2ye3Kqq6tlsTSNb7X6J8o119vsdrscDkeTBQDwjTtG+U8nX5TP/awQ+oKm5FRWVio/P1/5+fmSpIKCAuXn56uw0H8648yZMzVlypTG8RMnTtSCBQv0wgsvaO/evVqzZo0efvhhjRgxQhkZGWb8CgAQ8oZ166h+XRJVW+/Vu58dNDsO0CJBU3I2bdqk3Nxc5ebmSpJmzJih3NxcPf7445Kk4uLixsIjSdOmTdPvf/97zZ49W4MGDdItt9yivn37asGCBabkB4BwYBiGbj9xccA3N+xvds84EAqCck5Oewn0mB4ARJKK2nqN/O9/qbquQfN/fLFG9kw2OxLQRNjPyQEAtI3EmChdn+M/7P/mRq6AjNBFyQEAnOLkNXP+8WWJjlbVmZwGOD+UHADAKQZnddCgTIfqGrxa8DkTkBGaKDkAgNO6bcSJCcgbC5mAjJBEyQEAnNb1QzIUH23V3sNVWr/3qNlxgHNGyQEAnFaC3abrh2RKYgIyQhMlBwDQrNtPTED+cGuxjlS6zzIaCC6UHABAswZlJmlwVpLqG3xcARkhh5IDADij20b49+bM21gor5cJyAgdlBwAwBlNzMlQgt2mfUeqtb7giNlxgIBRcgAAZxRvt+n6If4rIL+18YDJaYDAUXIAAGf1g+HZkqQPt5boGFdARoig5AAAzurCzCQNSPdfAXnh5kNmxwECQskBAJyVYRj64Qj/3py3PuUKyAgNlBwAQECuH5KpmCiLvi6t1OYDx82OA5wVJQcAEJCk2ChNuDBdkvQWV0BGCKDkAAAC9sMT18x5f0uxKmrrTU4DnBklBwAQsGHdOqpX53jV1Dfo/S3FZscBzoiSAwAImGEY+sFw/96c+Z9yyArBjZIDADgn378oU1FWQ1sOOrWtyGV2HKBZlBwAwDlJTrBr3IAukvynkwPBipIDADhnk09cAfm9/CLV1jeYnAY4vRaXnPLy8lPW7dmzp6VPCwAIYpf0TlFGUoycNfX6eFup2XGA02pxybnkkkv01ltvSZJ8Pp+eeeYZ3XDDDS0OBgAIXlaLoZuHZkmS3t7ETTsRnFpcclauXKm3335bN9xwg8aMGaP9+/drw4YNrZENABDEbh7qP2S1ene5Dh2vMTkNcKoWl5zU1FSNHDlS27dvV3FxsfLy8hQfH98a2QAAQaxrcpwu7tlJPp+04LODZscBTtHikjNq1CgdPnxYX3zxhZYtW6Znn31WU6dObY1sAIAgd+sw/96cdz47KK+Xm3YiuLS45PzhD3/Q008/rZiYGHXr1k1Lly7VZZdd1hrZAABBLm9QuhLsNhUerdaGgqNmxwGaaJU9OZJUWlqqwsJCFRYW6uqrr25xMABA8IuNtmpiToYk6R0mICPItLjkLFq0SP3791evXr00fvx49ejRg7OrACCC3DLMf5bVkq3ctBPBpcUl5/HHH9eGDRvUu3dvbd++XevWrdOQIUNaIRoAIBTkZndQ79QE1dZ79cEX3LQTwaPFJcdut8vhcEiS6urqNGLECG3ZsqXFwQAAocEwDN06jGvmIPi0uOSkp6fr+PHjmjhxoiZMmKDJkyerc+fOrZENABAibszNktViaHPhce0uqzA7DiBJMnw+X6ud87d8+XJVVFRo/Pjxio6Obq2nbTMul0tJSUlyOp2Ne6MAAOfnnr98qn9uL9P9V/TSz6/pZ3YchLFAP79tLX2hPXv2aPbs2dq3b58aGhrk8/n05z//WYsXL27pUwMAQshNF2Xpn9vLtPDzQ3pkXF9ZLYbZkRDhWlxyJk2apAcffFC33nqrLBZuag4Akep7/VOVFBulElet1u4p16V9mLoAc7W45MTHx+vee+9tjSwAgBBmt1k1MSddb6wv1ILPD1FyYLoWz8l57733tHbtWl111VWy2+2N60PhqsfMyQGA1rW58JhufH6tYqOs+vSXVynB3uK/pYFTtNucnKVLl2r58uXavXt34+EqwzBCouQAAFrXkOwO6pkSr73lVVryZXHjva0AM7S45KxYsUJfffWVDIMJZgAQ6QzD0E1Ds/S7pTu14PODlByYqsUzhUeMGKE9e/a0RhYAQBiYlJspw5DW7z2qA0erzY6DCNbikrN582YNGjRIOTk5GjFihIYPH64RI0a0RjYAQAjK7BCrUT2TJUmLNh8yOQ0iWYsPV7333nutkQMAEEZuuihLa/cc0YLNh/Tg93ozpQGmaHHJ6datW2vkAACEkWsGddF/vrdVBeVV+rzwmIZ262R2JESgVrl637Fjx7Rs2TL94Q9/aI2nAwCEuHi7TdcM6iJJevczDlnBHOdccgoKCrRw4UI98cQTuuGGG9StWzelpKToyiuv1OOPP37eQVauXKmJEycqIyNDhmFo0aJFZ93G7XbrscceU7du3WS329WrVy+9+uqr550BANB6br7If2fyv39RJLenweQ0iEQBH666/PLLtWXLlsYL8AwYMECDBg3SoUOH9Morr+jKK69Udvb5nypYVVWlnJwc3XnnnbrpppsC2ubWW29VaWmpXnnlFfXu3VtlZWXyeDznnQEA0HpG9kxWmsOuUpdby3ce1viBXcyOhAgTcMlZt26dfvrTn+qBBx5QZmZm4/pXX31VI0aMaFHBkaS8vDzl5eUFPP7DDz/UihUrtHfvXnXq5D/W27179xZlAAC0HqvF0A1DMvWnlXu1aPMhSg7aXcCHqzZs2KBVq1Zp+vTp+vrrr9syU0AWL16sYcOG6amnnlJmZqYuuOACPfLII6qpqWl2G7fbLZfL1WQBALSdSUP8fxT/a3uZnDX1JqdBpAm45OTm5mrlypW69dZbNX78eE2fPl1lZWVtme2M9u7dq9WrV2vr1q1auHChnn32Wb377ruaPn16s9vMmjVLSUlJjUtL9z4BAM6sf3qiLkhLUF2DVx9uLTY7DiLMOU88vu222/TVV1+pQ4cOGjhwoLxerxoa2n9CmdfrlWEYmjt3rkaMGKEJEybo97//vV577bVm9+bMnDlTTqezcTlw4EA7pwaAyGIYhibl+vfmLOTCgGhn53UKeVxcnH7zm99ow4YNuu6663TllVfq6aefPuOhotaWnp6uzMxMJSUlNa7r37+/fD6fDh48eNpt7Ha7HA5HkwUA0Lauz8mQJG0oOKqi4+33OQG06Do5PXv21Hvvvae5c+dqzpw56tmzZ2vlOqtLLrlERUVFqqysbFz39ddfy2KxKCsrq91yAADOLKtjnEb06CSfT1q8pcjsOIggrXIxwKuvvlpffPGFfv7zn5/3c1RWVio/P1/5+fmS/Nfjyc/PV2FhoST/oaYpU6Y0jr/tttuUnJysO++8U9u2bdPKlSv105/+VHfddZdiY2Nb9PsAAFrXjScOWXEvK7SnVik5kmS1WvWTn/zkvLfftGmTcnNzlZubK0maMWOGcnNzGy8wWFxc3Fh4JCkhIUEff/yxjh8/rmHDhun222/XxIkT9cc//rFFvwcAoPVNGJSuaKtFO0oqtL2YM1vRPgyfz+czO4RZTl7Y0Ol0Mj8HANrYvX/dpKVflerey3tqZl5/s+MghAX6+d1qe3IAADiTk9fMWZxfJK83Yv++Rjui5AAA2sXYfqlKjLGp2FmrDQVHzY6DCEDJAQC0i5goqyYMSpfEWVZoH5QcAEC7mXjimjn/2Fqs+gavyWkQ7ig5AIB2M6pXslIS7DpeXa/Vu8rNjoMwR8kBALQbq8XQdYM5ZIX2QckBALSriTn+kvPRVyWqrW//ex8iclByAADt6qKuHZXZIVZVdQ36ZEeZ2XEQxig5AIB2ZRhG4wTkxfkcskLboeQAANrdyUNWn+wsU0VtvclpEK4oOQCAdjcg3aFeneNV5/Hqo69KzY6DMEXJAQC0O8MwdH3Oids8cJYV2gglBwBgipOHrFbvLtfRqjqT0yAcUXIAAKbo2TlBgzIdavD6tOTLYrPjIAxRcgAAprn+5FlWHLJCG6DkAABMc+1gf8n5dN9RlbpqTU6DcEPJAQCYJrNDrC7q2kE+n/QPDlmhlVFyAACmOrk3Z8mXJSYnQbih5AAATDXhwi6SpE/3H1WJk0NWaD2UHACAqdKTYjW0W0f/IautHLJC66HkAABMd+2F/mvm/P0LSg5aDyUHAGC6CSdKzqb9xzhkhVZDyQEAmK5LUoyGd+8oSVwYEK2GkgMACAqNh6woOWgllBwAQFDIuzBdhiF9tv+Yio7XmB0HYYCSAwAICmmOGA3v1kmS9I+tXDMHLUfJAQAEjWsHnzzLintZoeUoOQCAoJE3qIsMQ/q88LgOccgKLUTJAQAEjVRHjIZ3P3HIignIaCFKDgAgqEwY5L/NA/Ny0FKUHABAULlmkH9ezmf7j6nUxYUBcf4oOQCAoNIlKUa5XTtIkpZ+xd4cnD9KDgAg6OSdPGT1JSUH54+SAwAIOnknDlltKDiiI5Vuk9MgVFFyAABBJ7tTnAZmOOT1SR9vKzU7DkIUJQcAEJTyOMsKLUTJAQAEpZNnWa3dUy5nTb3JaRCKKDkAgKDUOzVBfVITVN/g07+2c8gK546SAwAIWnkX+vfmcMgK54OSAwAIWifn5az4+rAq3R6T0yDUUHIAAEGrX5dEdU+OU53Hq2U7ysyOgxBDyQEABC3DMBonIH/IISucI0oOACConTxk9cmOMlXUcpYVAkfJAQAEtcFZSerZOV419Q16L7/I7DgIIUFTclauXKmJEycqIyNDhmFo0aJFAW+7Zs0a2Ww2DRkypM3yAQDMYRiGbhvRVZI0d0OhfD6fyYkQKoKm5FRVVSknJ0ezZ88+p+2cTqemTJmiK6+8so2SAQDMdvPQLEXbLNpe7FL+geNmx0GIsJkd4KS8vDzl5eWd83b33nuvbrvtNlmt1nPa+wMACB0d4qJ13YXpWrD5kN7cUKjcrh3NjoQQEDR7cs7HnDlztGfPHj3xxBMBjXe73XK5XE0WAEBouP1i/yGr978o4jYPCEjIlpxdu3bpF7/4hebOnSubLbAdUrNmzVJSUlLjkp2d3cYpAQCt5aKuHdU3LVG19V4t/Pyg2XEQAkKy5DQ0NOi2227Tr371K11wwQUBbzdz5kw5nc7G5cCBA22YEgDQmgzDaNyb8+ZGJiDj7IJmTs65qKio0KZNm7R582Y9+OCDkiSv1yufzyebzaaPPvpI3/ve907Zzm63y263t3dcAEArmZSbqVlLdujr0kpt2n9Mw7t3MjsSglhIlhyHw6Evv/yyybrnn39en3zyid5991316NHDpGQAgLbkiInS9TkZmr/pgN7cUEjJwRkFTcmprKzU7t27Gx8XFBQoPz9fnTp1UteuXTVz5kwdOnRIr7/+uiwWiwYNGtRk+9TUVMXExJyyHgAQXm4b2VXzNx3Q378s1uPXDVDH+GizIyFIBc2cnE2bNik3N1e5ubmSpBkzZig3N1ePP/64JKm4uFiFhYVmRgQABIHBWUkalOlQncerv67fb3YcBDHDF8Ezt1wul5KSkuR0OuVwOMyOAwAI0Hv5h/Tvb+Ur2mbRkocvVe/UBLMjoR0F+vkdNHtyAAAI1PU5Gbqib2fVebz62btb1OCN2L/XcQaUHABAyDEMQ/9944VKsNv0eeFxzVlTYHYkBCFKDgAgJGV0iNVj1/aXJD390U4VlFeZnAjBhpIDAAhZPxierTG9U1Rb79XP3/1CXg5b4VsoOQCAkGUYhmZ9/0LFR1u1cd9Rvb5un9mREEQoOQCAkJbdKU6/mOA/bPU/H+7UgaPVJidCsKDkAABC3u0jumpkj06qqW/QY4u2cl8rSKLkAADCgMVi6Lc3DVa0zaKVXx/WovxDZkdCEAia2zqYqaqqSlar9ZT1VqtVMTExTcY1x2KxKDY29rzGVldXN/tXh2EYiouLO6+xNTU18nq9zeaIj48/r7G1tbVqaGholbFxcXEyDEOS5Ha75fF4WmVsbGysLBZ/h6+rq1N9fX2rjI2JiWn8b+VcxtbX16uurq7ZsXa7XTab7ZzHejweud3uZsdGR0crKirqnMc2NDSotra22bFRUVGKjo4+57Fer1c1NTWtMtZmszXecNfn86m6uvlDFOcy9lz+v+c94vRjzXqP6J4cp3+/so9+t3SnnlyYr6EZcUpOOP1NmXmP8Avl94iA+CKY0+n0SWp2mTBhQpPxcXFxzY69/PLLm4xNSUlpduywYcOajO3WrVuzYwcMGNBk7IABA5od261btyZjhw0b1uzYlJSUJmMvv/zyZsfGxcU1GTthwoQz/nP7tptvvvmMYysrKxvHTp069Yxjy8rKGsc+8MADZxxbUFDQOPaRRx4549itW7c2jn3iiSfOOHbjxo2NY5966qkzjl22bFnj2NmzZ59x7AcffNA4ds6cOWcc+/bbbzeOffvtt884ds6cOY1jP/jggzOOnT17duPYZcuWnXHsU0891Th248aNZxz7xBNPNI7dunXrGcc+8sgjjWMLCgrOOPaBBx5oHFtWVnbGsVOnTm0cW1lZecaxN998c5P/hs80lvcI/xJM7xF1ngbf+D+s8CXkXnvGsbxH+JdQfY84+fntdDp9Z8LhKgBA2IiyWvTbmwbrxM4fRDjuXZWUpKKiotPe+4Jd0acfy+EqdkVzuOrcx/IecX5jz/c94vEF+Xpt9R5ldIjR4gfHKN7edHYG7xF+ofoeEei9qyg53KATAMJOldujcX9YqUPHa3T3mB76z+sGmB0JrYgbdAIAIla83abf3DhIkjRnTYG2HnKanAhmoOQAAMLSFX1Tde3gdHl90mMLv+RO5RGIkgMACFuPXzdAiXabthx06s0N+82Og3ZGyQEAhK00R4weGd9XkvTUhztV5mp+AizCDyUHABDWfnRxNw3OSlKF26Nf/3272XHQjig5AICwZrUY+u8bL5TFkN7fUqSVXx82OxLaCSUHABD2BmUmaero7pKkXy7aqtr65q/Ng/BByQEARIQZV1+gNIddhUer9eKKPWbHQTug5AAAIkJiTJR+ea3/ooAvLN+jwiPNX/ka4YGSAwCIGNcNTtfoXslye7z6rw++MjsO2hglBwAQMQzD0H/dMFA2i6F/bi/Tv7aXmh0JbYiSAwCIKL1TE3X3mB6SpF+9v41JyGGMkgMAiDgPXdmncRLySyv2mh0HbYSSAwCIOAl2W+Mk5OeX79aBo0xCDkeUHABARGo6CXmb2XHQBig5AICIZBiGfnX9QFkthj7eVqpVu7gScrih5AAAIlaftERNGdVNkvRf729TfYPX5ERoTZQcAEBE+8mVF6hjXJR2lVXqjfX7zY6DVkTJAQBEtKS4KD0yvq8k6Q8ff62jVXUmJ0JroeQAACLeD4Z3Vf90h1y1Hj3z0U6z46CVUHIAABHPajH05ET/KeXzNhZqW5HL5ERoDZQcAAAkjeyZrGsHp8vrk371/lfy+XxmR0ILUXIAADhhZl4/2W0WbSg4qg+3lpgdBy1EyQEA4ISsjnG69/JekqTffrhDbg/3tQpllBwAAL7l3st6KjXRrv1HqvXXdZxSHsooOQAAfEu83aZHxvlPKf/ff+3ilPIQRskBAOA7bhqapf7pDlXUevTHf+0yOw7OEyUHAIDvsFoM/fLa/pKkN9bv157DlSYnwvmg5AAAcBqX9E7Rlf1S5fH6NGvJDrPj4DxQcgAAaMbMCf1ltRj65/ZSrd1dbnYcnCNKDgAAzeidmqAfjewqSfr137erwcsFAkNJ0JSclStXauLEicrIyJBhGFq0aNEZxy9YsEBXX321OnfuLIfDoVGjRmnp0qXtExYAEDH+/aoL5IixaXuxS29vOmB2HJyDoCk5VVVVysnJ0ezZswMav3LlSl199dVasmSJPvvsM40dO1YTJ07U5s2b2zgpACCSdIqP1k+uukCS9PTSnXLW1JucCIEyfEF4cw7DMLRw4UJNmjTpnLYbOHCgJk+erMcffzyg8S6XS0lJSXI6nXI4HOeRFAAQCeobvLrm2ZXac7hK94zpoV9eN8DsSBEt0M/voNmT01Jer1cVFRXq1KlTs2PcbrdcLleTBQCAs4myWvSfJ4rNa2v3cUp5iAibkvPMM8+oqqpKt956a7NjZs2apaSkpMYlOzu7HRMCAELZFX1T9b0Tp5T/5u/bzY6DAIRFyZk3b56efPJJzZ8/X6mpqc2OmzlzppxOZ+Ny4AATyAAAgfvltf1lsxj6ZEeZlu0sMzsOziLkS878+fN199136+2339ZVV111xrF2u10Oh6PJAgBAoHp2TtCdl3SXJP36g22qb/CaGwhnFNIlZ968eZo2bZrefPNNXXvttWbHAQBEgIeu7KPk+GjtPVylu177VGUVtWZHQjOCpuRUVlYqPz9f+fn5kqSCggLl5+ersLBQkv9Q05QpUxrHz5s3T1OmTNEzzzyjiy++WCUlJSopKZHT6TQjPgAgQjhiovTbmwYrJsqiVbvKlffsKi3bwaGrYBQ0p5AvX75cY8eOPWX91KlT9dprr2natGnat2+fli9fLkm64oortGLFimbHB4JTyAEA52tXaYUemrdZO0oqJEnTRnfXL/L6KSbKanKy8Bfo53fQlBwzUHIAAC1RW9+g//lwh+as2SdJ6p/u0OzbctWrc4K5wcJcxF0nBwCA9hYTZdUTEwdqzrThSo6P1vZilyb+32ot3HzQ7GgQJQcAgBYb2y9VS/79Ul3cs5Oq6xr0H/O36GfvblFNXYPZ0SIaJQcAgFaQ5ojR3Hsu1r9f2UeGIb296aBueG61dpdVmB0tYlFyAABoJVaLof+4+gLNvXukOifa9XVppa6fvUaLtxSZHS0iUXIAAGhlo3unaMnDl2p0r2RV1zXo4Xmb9cR7W1Xn4eKB7YmSAwBAG+icaNdf7x6pB8f2liT9Zd1+3frSOh06XmNysshByQEAoI1YLYYeGd9Xr04bpqTYKOUfOK7r/rhKa3aXmx0tIlByAABoY9/rl6YPHhqjCzOTdKy6Xne8skF/WrlHEXypunZByQEAoB1kd4rTO/eN0s1Ds+T1Sf+9ZIcemrdZ1XUes6OFLUoOAADtJCbKqt/dPFi/vmGgbBZDH3xRrBufW6v9R6rMjhaWKDkAALQjwzB0x6jumvfji5WSYNfO0gpdP3sN83TaACUHAAATDO/eSR88NEY52R3krKnXlFc36i9r9zFPpxVRcgAAMEmXpBjN//HFujE3Uw1en55Y/JUeXfgl19NpJZQcAABMFBNl1e9vzdGjE/rJMKR5Gw/oRy9v0NGqOrOjhTxKDgAAJjMMQz++rJdenTpciXabNu47qknPrdHuskqzo4U0Sg4AAEFibL9ULZw+WtmdYlV4tFo3Pr9Gq3cxIfl8UXIAAAgivVMTteiBSzSsW0dV1Ho0dc5Gvbmh0OxYIYmSAwBAkElOsOuNe0Zq0pAMNXh9enThl/rN37fJ6+XMq3NByQEAIAjFRFn1h8lDNOPqCyRJf15VoIfmbVZtfYPJyUIHJQcAgCBlGIYevrKPnp08RFFWQ3//slg/enmDjnHmVUAoOQAABLlJuZn6y10jlBhj06b9x3TTC2tVeKTa7FhBj5IDAEAIGN0rRX+7f7QykmK0t7xKk55fo9fWFHD46gwoOQAAhIgL0hK1cPolGpjh0NGqOj35/jaN+Z9l+tPKPapyczfz7zJ8EXyTDJfLpaSkJDmdTjkcDrPjAAAQELenQe9sOqgXlu/RoeM1kqQOcVG6fWRX3TI0W91T4k1O2LYC/fym5FByAAAhqr7Bq4WbD+n5Zbu171tzdEb06KRbhmZpwoXpirfbTEzYNig5AaDkAADCgafBq6VflWr+pgNateuwTn6yx0dbNTEnQ5OHZ2tIdgcZhmFu0FZCyQkAJQcAEG6KnTVa8PkhvbPpQJO9O33TEjV5eLZuzM1Ux/hoExO2HCUnAJQcAEC48vl8+nTfMb21sVB//7JYbo9XkhRts+jaC9N1+8iuGtqtY0ju3aHkBICSAwCIBM6aei3OP6R5Gw9oW7GrcX3ftETdNrKrbrwoU46YKBMTnhtKTgAoOQCASOLz+bTloFNvbtivxVuKVFvv37sTF23VjbmZmjKqu/p2STQ55dlRcgJAyQEARCpnTb0WbT6kN9bv166yysb1I3p00tRR3TVuYJqirMF5OT1KTgAoOQCASOfz+bR+71H9df0+Lf2qVA0n7nSenhSjH13cTT8c0VWdgmyiMiUnAJQcAAC+UeKs1ZsbC/Xmhv0qr/TfBNRus2jSkEzdOaa7+nUJjs9KSk4AKDkAAJzK7WnQB1uKNWdtgbYe+mai8qV9UnTPpT11WZ8UU8/KouQEgJIDAEDzfD6fPtt/TK+uKdCHW0t04kiW+qQmaNol3TVhULop19yh5ASAkgMAQGAOHK3WnDX7NP/TQlXV+e98brUYGt0rWXmD0jVuYJpSEuztkoWSEwBKDgAA58ZVW6/5Gw9o4eZDTa65YzGkPqmJ6p+eqP7pDvVLd6h/eqJSE2NaPwMl5+woOQAAnL995VX6x9YS/WNrsb446DztmN/dPFi3DMtu1dcN9PM7/G5NCgAA2kX3lHjdf0Uv3X9FL5U4a/VVkVM7Siq0rdil7cUu7SuvUp808y4uSMkBAAAt1iUpRl2SYnRl/7TGdTV1DYqymncWFiUHAAC0idhoq6mvH5zXawYAAGghSg4AAAhLlBwAABCWgqbkrFy5UhMnTlRGRoYMw9CiRYvOus2KFSs0dOhQxcTEqGfPnnrxxRfbPigAAAgJQVNyqqqqlJOTo9mzZwc0vqCgQBMmTNCll16qzZs369FHH9XDDz+sv/3tb22cFAAAhIKgObsqLy9PeXl5AY9/8cUX1bVrVz377LOSpP79+2vTpk16+umnddNNN7VRSgAAECqCZk/OuVq3bp3GjRvXZN348eO1adMm1dfXm5QKAAAEi6DZk3OuSkpKlJaW1mRdWlqaPB6PysvLlZ6efso2brdbbre78bHL5TplDAAACA8huydHkgyj6VUUT96G67vrT5o1a5aSkpIal+zs1r2XBgAACB4hW3K6dOmikpKSJuvKyspks9mUnJx82m1mzpwpp9PZuBw4cKA9ogIAABOE7OGqUaNG6f3332+y7qOPPtKwYcMUFRV12m3sdrvsdnt7xAMAACYLmj05lZWVys/PV35+viT/KeL5+fkqLCyU5N8LM2XKlMbx9913n/bv368ZM2Zo+/btevXVV/XKK6/okUceMSM+AAAIMkGzJ2fTpk0aO3Zs4+MZM2ZIkqZOnarXXntNxcXFjYVHknr06KElS5boP/7jP/Tcc88pIyNDf/zjHzl9HAAASJIM38nZuhHI6XSqQ4cOOnDggBwOh9lxAABAAFwul7Kzs3X8+HElJSU1Oy5o9uSYoaKiQpI4ywoAgBBUUVFxxpIT0XtyvF6vioqKlJiY2Oxp58OHD9enn356Ts97smGyh8hc5/PvLtQE++9oZr72eu22ep3Wet7WeB7eB0NXsL9HnC+fz6eKigplZGTIYml+enFE78mxWCzKyso64xir1Xre/4M6HA7+5zZRS/7dhYpg/x3NzNder91Wr9Naz9saz8P7YOgK9veIljjTHpyTgubsqmA1ffp0syPgPEXCv7tg/x3NzNder91Wr9Naz9sazxPs/52heZH+7y6iD1e1FZfLpaSkJDmdzrBt0ABwJrwPIhiwJ6cN2O12PfHEE1x4EEDE4n0QwYA9OQAAICyxJwcAAIQlSg4AAAhLlBwAABCWKDkAACAsUXKCwI033qiOHTvq5ptvNjsKALSLDz74QH379lWfPn308ssvmx0HYYqzq4LAsmXLVFlZqb/85S969913zY4DAG3K4/FowIABWrZsmRwOhy666CJt2LBBnTp1Mjsawgx7coLA2LFjlZiYaHYMAGgXGzdu1MCBA5WZmanExERNmDBBS5cuNTsWwhAl5yxWrlypiRMnKiMjQ4ZhaNGiRaeMef7559WjRw/FxMRo6NChWrVqVfsHBYB20tL3xaKiImVmZjY+zsrK0qFDh9ojOiIMJecsqqqqlJOTo9mzZ5/25/Pnz9dPfvITPfbYY9q8ebMuvfRS5eXlqbCwsHHM0KFDNWjQoFOWoqKi9vo1AKDVtPR98XSzJAzDaNPMiEwRfRfyQOTl5SkvL6/Zn//+97/X3XffrXvuuUeS9Oyzz2rp0qV64YUXNGvWLEnSZ5991i5ZAaA9tPR9MTMzs8mem4MHD2rkyJFtnhuRhz05LVBXV6fPPvtM48aNa7J+3LhxWrt2rUmpAMA8gbwvjhgxQlu3btWhQ4dUUVGhJUuWaPz48WbERZhjT04LlJeXq6GhQWlpaU3Wp6WlqaSkJODnGT9+vD7//HNVVVUpKytLCxcu1PDhw1s7LgC0uUDeF202m5555hmNHTtWXq9XP/vZz5ScnGxGXIQ5Sk4r+O6xZJ/Pd07HlzmrAEC4Odv74vXXX6/rr7++vWMhwnC4qgVSUlJktVpP2WtTVlZ2yl8xABAJeF9EMKHktEB0dLSGDh2qjz/+uMn6jz/+WKNHjzYpFQCYh/dFBBMOV51FZWWldu/e3fi4oKBA+fn56tSpk7p27aoZM2bojjvu0LBhwzRq1Cj96U9/UmFhoe677z4TUwNA2+F9ESHDhzNatmyZT9Ipy9SpUxvHPPfcc75u3br5oqOjfRdddJFvxYoV5gUGgDbG+yJCBfeuAgAAYYk5OQAAICxRcgAAQFii5AAAgLBEyQEAAGGJkgMAAMISJQcAAIQlSg4AAAhLlBwAABCWKDkAACAsUXIAAEBYouQACBkffvihYmNj5fF4Gtdt375dhmGovLzcxGQAghElB0DIyM/P18CBA2Wz2Zqsy8zMVEpKionJAAQjSg6AkLFlyxYNGTKkybrNmzcrJycn4OcoKirS7bff3srJAAQjSg6AkJGfn39KoTndujPJyMjQ3LlzWzsagCBEyQEQEmpqarRr164me3K8Xq8+//xz5eTkaN++fcrJydG0adM0YMAA3X///Vq0aJFGjhypgQMHateuXZKkffv2adiwYY3jp06dqv79+2vy5Mny+Xwm/XYA2gIlB0BI2LNnjxoaGtS3b9/GdUuXLtWRI0ca9+Rs375dM2fO1Jdffqnly5drzZo12rBhgx566CHNnj37lOc8OX7btm0qLS3V6tWr2+33AdD2KDkAQkJycrIMw9DGjRslSevXr9eDDz6o2NhY9enTR5LUt29f9e3bV1arVf3799dVV10lSRo8eLD27dt3ynP27dtX/fr1k2EYys3NPe0YAKHLdvYhAGC+9PR0/frXv9aUKVOUkJCgK664Qrfccov+9a9/yWq1SpLsdnvjeIvF0vjYYrGooaHhlOf89nir1XraMQBCFyUHQMh47LHH9Nhjj5kdA0CI4HAVAAAIS4aP0wkAAEAYYk8OAAAIS5QcAAAQlig5AAAgLFFyAABAWKLkAACAsETJAQAAYYmSAwAAwhIlBwAAhCVKDgAACEuUHAAAEJYoOQAAICxRcgAAQFj6/z5GC5dUu7TYAAAAAElFTkSuQmCC", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# plt.plot(umin_arr, Amax_arr)\n", + "plt.plot(umin_arr, fast_Amax_arr)\n", + "plt.axhline(1.34, color='k', linestyle='--')\n", + "plt.xlabel(r'$u_{\\rm min}$')\n", + "plt.ylabel(r'$A_{\\rm max}$')\n", + "plt.title(r'$\\rho = $' + str(rho))\n", + "plt.xscale('log')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10,5))\n", + "plt.subplot(121)\n", + "\n", + "rho= 0.01\n", + "fast_uhm_arr = np.array([u_fwhm_interp([rho, umin])[0] for umin in umin_arr])\n", + "uhm_point_arr = np.array([(2* f_func(f_func(umin**2)))**(1/2) for umin in umin_arr])\n", + "fast_Amax_arr = np.array([fast_magnification_finite_new(umin, rho) for umin in umin_arr])\n", + "ut_arr = np.array([ut_func_new(rho, Amax) for Amax in fast_Amax_arr])\n", + "plt.plot(umin_arr, fast_uhm_arr, label='uhm finite')\n", + "plt.plot(umin_arr, uhm_point_arr, label='uhm point', linestyle='--')\n", + "plt.plot(umin_arr, ut_arr, label='ut')\n", + "\n", + "plt.xlabel(r'$u_{min}$')\n", + "plt.ylabel(r'$u_{hm}$')\n", + "plt.title(r'$\\rho = $ ' + str(rho))\n", + "plt.xscale('log')\n", + "plt.yscale('log')\n", + "plt.legend()\n", + "\n", + "plt.subplot(122)\n", + "rho= 1.5\n", + "fast_uhm_arr = np.array([u_fwhm_interp([rho, umin])[0] for umin in umin_arr])\n", + "uhm_point_arr = np.array([(2* f_func(f_func(umin**2)))**(1/2) for umin in umin_arr])\n", + "fast_Amax_arr = np.array([fast_magnification_finite_new(umin, rho) for umin in umin_arr])\n", + "ut_arr = np.array([ut_func_new(rho, Amax) for Amax in fast_Amax_arr])\n", + "plt.plot(umin_arr, fast_uhm_arr, label='uhm finite')\n", + "plt.plot(umin_arr, uhm_point_arr, label='uhm point', linestyle='--')\n", + "plt.plot(umin_arr, ut_arr, label='ut')\n", + "\n", + "plt.xlabel(r'$u_{min}$')\n", + "plt.title(r'$\\rho = $ ' + str(rho))\n", + "plt.xscale('log')\n", + "plt.yscale('log')\n", + "plt.show()\n" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [], + "source": [ + "rho = 2.1\n", + "# rho = 0.01\n", + "\n", + "ut = 1\n", + "umin_arr = np.logspace(np.log10(0.01), np.log10(2), 100)\n", + "tfwhm_arr = np.array([t_fwhm(10, umin, True, rho, ut_func_new(rho, 1.34)) for umin in umin_arr])\n", + "tfwhm_arr_point = np.array([t_fwhm(10, umin, False, rho, ut_func_new(rho, 1.34)) for umin in umin_arr])\n", + "t_duration_arr = np.array([t_duration(10, umin, True, rho, 1) for umin in umin_arr])\n", + "\n", + "rho_arr = np.linspace(0.01, 3, 100)\n", + "tfwhm_arr2 = np.array([t_fwhm(10, 0.1, True, rho, ut_func_new(rho, 1.34)) for rho in rho_arr])\n", + "tfwhm_arr_point2 = np.array([t_fwhm(10, 0.1, False, rho, ut_func_new(rho, 1.34)) for rho in rho_arr])\n", + "t_duration_arr2 = np.array([t_duration(10, 0.1, True, rho, 1) for rho in rho_arr])" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10,5))\n", + "plt.subplot(121)\n", + "plt.title('t_e = 10, rho = {}'.format(rho))\n", + "\n", + "plt.plot(umin_arr, tfwhm_arr, label='fwhm finite')\n", + "plt.plot(umin_arr, tfwhm_arr_point, label = 'fwhm point', linestyle='--')\n", + "plt.plot(umin_arr, t_duration_arr, label='duration', linestyle='--')\n", + "plt.ylabel(r'$t$')\n", + "plt.xlabel(r'$u_{\\rm min}$')\n", + "# plt.xscale('log')\n", + "plt.legend()\n", + "plt.subplot(122)\n", + "plt.plot(rho_arr, tfwhm_arr2)\n", + "plt.plot(rho_arr, tfwhm_arr_point2, linestyle='--')\n", + "plt.plot(rho_arr, t_duration_arr2, linestyle='--')\n", + "plt.title(r't_e = 10, u_min = 0.1')\n", + "plt.xlabel(r'$\\rho$')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [], + "source": [ + "def u_func(umin, t, t_e):\n", + " return np.sqrt(umin**2 + (t/t_e)**2)\n", + "\n", + "def t_fwhm_point(umin, t_e):\n", + " t_vals = np.linspace(-5*t_e, 5*t_e, 2000)\n", + " A_vals = np.array([A_ps(u_func(umin, t, t_e)) for t in t_vals])\n", + " A_max = np.max(A_vals)\n", + " t_0 = t_vals[np.argmax(A_vals)]\n", + " half_max_indices = np.where(np.isclose(A_vals, A_max/2, atol=0.1))[0]\n", + " t_fwhm = t_vals[half_max_indices[-1]] - t_vals[half_max_indices[0]]\n", + " return t_fwhm\n", + "\n", + "\n", + "def t_fwhm_finite(umin, t_e, rho):\n", + " t_vals = np.linspace(-5*t_e, 5*t_e, 2000)\n", + " A_vals = np.array([A_gould(u_func(umin, t, t_e), rho) for t in t_vals])\n", + " A_max = np.max(A_vals)\n", + " t_0 = t_vals[np.argmax(A_vals)]\n", + " half_max_indices = np.where(np.isclose(A_vals, A_max/2, atol=0.1))[0]\n", + " t_fwhm = t_vals[half_max_indices[-1]] - t_vals[half_max_indices[0]]\n", + " return t_fwhm" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "1.999999999999998\n" + ] + } + ], + "source": [ + "umin = 1.2\n", + "deltab = f_func(umin**2)\n", + "bw2 = 2* f_func(deltab)\n", + "print(f_func(umin**2)/f_func(bw2))\n" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_83573/3377527036.py:22: RuntimeWarning: invalid value encountered in sqrt\n", + " return quad(lambda x: np.sqrt(1 - m**2*np.sin(x)**2), 0, phi)[0]\n", + "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_83573/3377527036.py:22: IntegrationWarning: The occurrence of roundoff error is detected, which prevents \n", + " the requested tolerance from being achieved. The error may be \n", + " underestimated.\n", + " return quad(lambda x: np.sqrt(1 - m**2*np.sin(x)**2), 0, phi)[0]\n", + "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_83573/3377527036.py:22: IntegrationWarning: Extremely bad integrand behavior occurs at some points of the\n", + " integration interval.\n", + " return quad(lambda x: np.sqrt(1 - m**2*np.sin(x)**2), 0, phi)[0]\n", + "/Users/nolansmyth/opt/anaconda3/lib/python3.9/site-packages/scipy/optimize/_minpack_py.py:177: RuntimeWarning: The iteration is not making good progress, as measured by the \n", + " improvement from the last ten iterations.\n", + " warnings.warn(msg, RuntimeWarning)\n" + ] + }, + { + "data": { + "text/plain": [ + "1.9595917942265424" + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "rho=0.1\n", + "t_fwhm_gondolo_finite(1, 0.2, rho)" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [], + "source": [ + "umin = 0.2\n", + "t_e = 10\n", + "t_arr = np.linspace(-20,20,1000)\n", + "u_arr = u_func(umin, t_arr, t_e)\n", + "rho = 0.7\n", + "A_fs_arr = np.array([A_gould(u, rho) for u in u_arr])\n", + "A_ps_arr = np.array([A_ps(u) for u in u_arr])" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.003712691344232568" + ] + }, + "execution_count": 31, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "#This is ~ 2*t_E for ut=1 and umin<<1\n", + "t_duration(umin, 1, t_e, 0)/t_e" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "6.928203230275509\n", + "7.75387693846924\n" + ] + } + ], + "source": [ + "#Novati relating fwhm to t_e for umin << 1\n", + "print(np.sqrt(12)*umin*t_e)\n", + "#Explicit calculation of fwhm\n", + "print(t_fwhm_point(umin, t_e))\n" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "7.75387693846924\n", + "13.056528264132062\n" + ] + } + ], + "source": [ + "#Finite source calculation, small source\n", + "print(t_fwhm_finite(umin, t_e, 0.01))\n", + "#Finite source calculation, larger source\n", + "print(t_fwhm_finite(umin, t_e, 0.5))" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(t_arr, A_ps_arr, label=r\"Point Source\", ls='--')\n", + "plt.plot(t_arr, A_fs_arr, label=r\"$\\rho = $\" + ' ' + str(rho))\n", + "\n", + "\n", + "plt.ylim(1,6)\n", + "# plt.ylim(5,50)\n", + "\n", + "plt.xlim(-20,20)\n", + "# plt.xlim(-2,2)\n", + "\n", + "\n", + "plt.xlabel(\"Time\")\n", + "plt.ylabel(\"Magnification\")\n", + "plt.legend()\n", + "# plt.savefig(\"figures/ps_fs_magnification.pdf\")\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [], + "source": [ + "%load_ext autoreload\n", + "%autoreload 2" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "#| hide\n", + "import nbdev; nbdev.nbdev_export()" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "python3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.7" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} From 11af79ec39d4cf49b01802d239cb196748eaff0b Mon Sep 17 00:00:00 2001 From: Nolan Smyth Date: Thu, 2 Nov 2023 12:16:29 -0700 Subject: [PATCH 06/17] cleaning up mock_roman --- examples/mock_roman.ipynb | 2558 +++++----------------------------- examples/roman_figures.ipynb | 2312 ------------------------------ nbs/01_ffp.ipynb | 395 ------ 3 files changed, 382 insertions(+), 4883 deletions(-) delete mode 100644 examples/roman_figures.ipynb diff --git a/examples/mock_roman.ipynb b/examples/mock_roman.ipynb index 1d4c946..241332e 100644 --- a/examples/mock_roman.ipynb +++ b/examples/mock_roman.ipynb @@ -17,6 +17,8 @@ "\n", "from scipy.integrate import quad, nquad\n", "from scipy import stats\n", + "from scipy.signal import savgol_filter\n", + "\n", "\n", "from tqdm import tqdm\n", "from pathos.multiprocessing import ProcessingPool as Pool\n", @@ -82,63 +84,7 @@ " return roman_df['efficiency'][0]\n", " if t_day >= np.max(roman_df['t_e [days]']):\n", " return roman_df['efficiency'][len(roman_df)-1]\n", - " return(roman_efficiency_interp(t_day))\n", - "\n", - "roman_efficiency" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [], - "source": [ - "# def roman_efficiency(t):\n", - "# '''\n", - "# Takes in crossing time in hours and returns the efficiency of Roman\n", - "# #Need to replace this eventually. Assume perfect efficiency for now\n", - "# '''\n", - "# return 1.0\n" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "array([0.])" - ] - }, - "execution_count": 4, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "ut_func_new(16.0, 1.01)" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "1.0110577817940616" - ] - }, - "execution_count": 5, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "magnification(3.4)" + " return(roman_efficiency_interp(t_day))" ] }, { @@ -147,6 +93,7 @@ "metadata": {}, "outputs": [], "source": [ + "#A_t of 1.34 corresponds to u_t_point of 1, which is what Johnson uses in point-source regime\n", "#A_t of 1.06 corresponds to u_t_point of ~2, which is what popsycle uses as u_0_max\n", "#A_t of 1.01 corresponds to u_t_point of ~3.5, which is Johnson uses as 0.01 mag sensitivity\n", "\n", @@ -226,30 +173,6 @@ "s" ] }, - { - "cell_type": "code", - "execution_count": 86, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "1.628248974008208e-07" - ] - }, - "execution_count": 86, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "#Estimates\n", - "#Finite-source important when U >= 1ish. M ~ Rs^2/(4 G d_s) (dL/ds)\n", - "(2.3e-8)**2 / (4 * 4.3e-3 * 8.5e3) *(1/2)*(3e5)**2/(3e-6) #estimated finite source cutoff in earth masses\n", - "(2.3e-8)**2 / (4 * 4.3e-3 * 8.5e3) *(1/2)*(3e5)**2 #estimated finite source cutoff in sol masses for U = 1\n", - "\n" - ] - }, { "cell_type": "code", "execution_count": 15, @@ -265,6 +188,7 @@ } ], "source": [ + "#Finite-source important when U >= 1ish. M ~ Rs^2/(4 G d_s) (dL/ds)\n", "Rs_pc = 2.3e-8\n", "G_pc = 4.3e-3\n", "ds_pc = 8.5e3\n", @@ -370,192 +294,6 @@ " raise ValueError(\"Parameter 'mass' is required for case 'pbh'.\")\n" ] }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "m_arr = np.logspace(-10, -1, num=20)\n", - "rates = []\n", - "for m in tqdm(m_arr):\n", - " s.add_pbh(m)\n", - " rates.append(s.pbh.rate_mw(True, tcad=s.cadence, tobs=s.obs_time, efficiency=s.efficiency))\n", - "rates = np.array(rates)" - ] - }, - { - "cell_type": "code", - "execution_count": 24, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "[]" - ] - }, - "execution_count": 24, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "#new\n", - "plt.loglog(m_arr, rates * s.n_sources * s.obs_time)" - ] - }, - { - "cell_type": "code", - "execution_count": 183, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "[]" - ] - }, - "execution_count": 183, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "#w efficiency\n", - "plt.loglog(m_arr, rates * s.n_sources * s.obs_time)" - ] - }, - { - "cell_type": "code", - "execution_count": 184, - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - " 10%|█ | 3/30 [00:00<00:00, 28.47it/s]" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - " 20%|██ | 6/30 [00:00<00:00, 28.31it/s]/Users/nolansmyth/opt/anaconda3/lib/python3.9/site-packages/scipy/integrate/_quadpack_py.py:1233: IntegrationWarning: The algorithm does not converge. Roundoff error is detected\n", - " in the extrapolation table. It is assumed that the requested tolerance\n", - " cannot be achieved, and that the returned result (if full_output = 1) is \n", - " the best which can be obtained.\n", - " quad_r = quad(f, low, high, args=args, full_output=self.full_output,\n", - "/Users/nolansmyth/opt/anaconda3/lib/python3.9/site-packages/scipy/integrate/_quadpack_py.py:1233: IntegrationWarning: The maximum number of subdivisions (50) has been achieved.\n", - " If increasing the limit yields no improvement it is advised to analyze \n", - " the integrand in order to determine the difficulties. If the position of a \n", - " local difficulty can be determined (singularity, discontinuity) one will \n", - " probably gain from splitting up the interval and calling the integrator \n", - " on the subranges. Perhaps a special-purpose integrator should be used.\n", - " quad_r = quad(f, low, high, args=args, full_output=self.full_output,\n", - "100%|██████████| 30/30 [00:57<00:00, 1.90s/it]\n" - ] - } - ], - "source": [ - "t_es = np.logspace(-2, 4.8, 30) #hours\n", - "diff_rates = np.array([s.pbh.differential_rate_mw(t, finite=True) for t in tqdm(t_es)])" - ] - }, - { - "cell_type": "code", - "execution_count": 185, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "8133.374025550973" - ] - }, - "execution_count": 185, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "rates[-1] * s.n_sources * s.obs_time" - ] - }, - { - "cell_type": "code", - "execution_count": 186, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "8532.059705356358" - ] - }, - "execution_count": 186, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "diff_rate_interp = interp1d(t_es, diff_rates)\n", - "def gamma_wrapper_test(t):\n", - " return diff_rate_interp(t) * s.efficiency(t)\n", - "quad(gamma_wrapper_test, 0.25, 24*72*6, epsabs=0, epsrel=1e-1)[0] * 2.4e8 * 24*72*6" - ] - }, - { - "cell_type": "code", - "execution_count": 187, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "[]" - ] - }, - "execution_count": 187, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "plt.loglog(t_es,diff_rates)" - ] - }, { "cell_type": "code", "execution_count": 9, @@ -570,25 +308,15 @@ } ], "source": [ - "# t_es = np.logspace(np.log10(s.cadence)-0.1, np.log10(s.obs_time)+0.1, 60) #hours\n", - "# t_es = np.logspace(-1.1, 4.5, 60) #hours\n", - "# t_es = np.logspace(-2, 4.8, 60) #hours\n", - "# t_es = np.logspace(-2, 4.8, 60) #hours\n", "t_es = np.logspace(-1, 4.8, 50) #hours\n", "\n", "v_disp_pbh = 250\n", - "# pbh_masses = np.array([3e-6, 30])\n", "pbh_masses = np.logspace(-10, 2, 40)\n", - "# sigmas = np.linspace(0.1, 1.5, 10)\n", - "# 0.01, 0.1, 0.5, 1.0, 1.5\n", - "# sigma = 0.01\n", - "sigmas = np.array([0.01, 0.1, 0.5, 1.0, 1.5])\n", + "sigmas = np.array([0.1, 0.5, 1.0])\n", "\n", "t_low_cut = s.cadence\n", "t_high_cut = s.obs_time\n", "\n", - "# def differential_rate_mw_t_e_pbh(t, s=s, finite=False):\n", - "# return s.pbh.differential_rate_mw(t, finite=False, v_disp=v_disp_pbh, t_e=True, tmin=t_low_cut, tmax=t_high_cut)\n", "\n", "def differential_rate_mw_duration_pbh(t, s=s, finite=True):\n", " return s.pbh.differential_rate_mw(t, finite=finite, v_disp=v_disp_pbh, t_e=False)\n", @@ -601,10 +329,6 @@ " # s.add_pbh(mass, lognorm=True, sigma=sigma)\n", " s.add_pbh(mass)\n", "\n", - " # with Pool() as pool:\n", - " # func = functools.partial(differential_rate_mw_t_e_pbh, s=s, finite=False)\n", - " # pbh_tes_point = list(tqdm(pool.imap(func, t_es), total=len(t_es)))\n", - " # pbh_tes_point = np.array(pbh_tes_point)\n", "\n", " # with Pool() as pool:\n", " # func = functools.partial(differential_rate_mw_duration_pbh, s=s, finite=False)\n", @@ -635,26 +359,6 @@ "### FFPs" ] }, - { - "cell_type": "code", - "execution_count": 35, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "33333.333333333336" - ] - }, - "execution_count": 35, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "1e-1/3e-6" - ] - }, { "cell_type": "code", "execution_count": 14, @@ -740,39 +444,28 @@ } ], "source": [ - "# t_es_ffps = np.logspace(-3, 2.5, 50) #hours\n", "t_es_ffps = np.logspace(-2, 4.8, 50) #hours\n", "\n", "M_norm = 3e-6\n", "Z_fiducial = 10\n", "v_disp_ffp = 200\n", "\n", - "# p_arr = np.array([0.66, 1.0, 1.33])\n", "p_arr = np.linspace(0.66, 1.33, 16)\n", "\n", "t_low_cut = s.cadence\n", "t_high_cut = s.obs_time\n", "\n", "\n", - "# def differential_rate_mw_t_e(t, s=s, finite=False):\n", - "# v_disp_ffp = 200\n", - "# return s.ffp.differential_rate_mw(t, finite=finite, v_disp=v_disp_ffp, t_e=True, tmin=t_low_cut, tmax=t_high_cut)\n", "\n", "def differential_rate_mw_duration(t, s=s, finite=False):\n", " v_disp_ffp = 200\n", " return s.ffp.differential_rate_mw(t, finite=finite, v_disp=v_disp_ffp, t_e=False)\n", "\n", "for p in p_arr:\n", - " # s.add_ffp(p, m_min = 1e-9, m_max = 1e-1)\n", " s.add_ffp(p, m_min = 1e-12, m_max = 1e-1)\n", "\n", " z_earth = Z_fiducial/(s.ffp.Z*(M_norm/s.ffp.M_norm)**(-p))\n", "\n", - " # with Pool() as pool:\n", - " # func_ffp = functools.partial(differential_rate_mw_t_e, s=s, finite=False)\n", - " # ffp_tes_point = list(tqdm(pool.imap(func_ffp, t_es_ffps), total=len(t_es_ffps)))\n", - " # ffp_tes_point = np.array(ffp_tes_point)\n", - "\n", " with Pool() as pool:\n", " func_ffp = functools.partial(differential_rate_mw_duration, s=s, finite=True)\n", " ffp_t_duration_finite = list(tqdm(pool.imap(func_ffp, t_es_ffps), total=len(t_es_ffps)))\n", @@ -852,13 +545,6 @@ " plt.show()" ] }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - }, { "cell_type": "code", "execution_count": 57, @@ -917,9 +603,6 @@ " for finite_val, finite_data in entity_data.items():\n", " for v_disp, v_disp_data in finite_data.items():\n", " for p_or_mass, p_or_mass_data in v_disp_data.items():\n", - " # if p_or_mass != 1.0:\n", - " # continue\n", - " # Calculate gamma(t) for each case\n", " t_es_limited = np.logspace(np.log10(np.min(p_or_mass_data['t_es']))+0.1, np.log10(np.max(p_or_mass_data['t_es']))-0.1, 60)\n", " gammas = np.array([gamma_of_t(p_or_mass_data['calculated_values'], t, t_es=p_or_mass_data['t_es']) for t in t_es_limited])\n", " t_values.extend(p_or_mass_data['t_es'])\n", @@ -933,9 +616,7 @@ " dgammadt_values_grid = np.array(dgammadt_values).reshape(len(p_arr), (len(np.unique(t_values))))\n", "\n", " # Create an interpolating function\n", - " # gamma_interpolating_function = RegularGridInterpolator((p_arr, t_es_limited), gamma_values_grid, method='linear')\n", " gamma_interpolating_function = RegularGridInterpolator((np.log10(p_arr), np.log10(t_es_limited)), np.log10(gamma_values_grid), method='linear')\n", - " # dgammadt_interpolating_function = RegularGridInterpolator((p_arr, np.unique(t_values)), dgammadt_values_grid, method='linear')\n", " dgammadt_interpolating_function = RegularGridInterpolator((np.log10(p_arr), np.log10(np.unique(t_values))), np.log10(dgammadt_values_grid), method='linear')\n", "\n", "\n", @@ -982,28 +663,32 @@ " # unique_sigma = np.unique(sigma_values)\n", " \n", " # Reshaping data for grid interpolation\n", + " \n", + " #log-norm\n", + "\n", " # dgammadt_values_grid = np.array(dgammadt_values).reshape(len(unique_m), len(unique_sigma), len(unique_t))\n", " # gamma_values_grid = np.array(gamma_values).reshape(len(unique_m), len(unique_sigma), len(unique_t_limited))\n", - " dgammadt_values_grid = np.array(dgammadt_values).reshape(len(unique_m), len(unique_t))\n", - " gamma_values_grid = np.array(gamma_values).reshape(len(unique_m), len(unique_t_limited))\n", - " \n", - " # Creating interpolation functions in 3D (log-log-log space may be useful, depending on your data)\n", " # dgammadt_interpolating_function = RegularGridInterpolator(\n", " # (np.log10(unique_m), np.log10(unique_sigma), np.log10(unique_t)), \n", " # np.log10(dgammadt_values_grid), \n", " # method='linear'\n", " # )\n", - " dgammadt_interpolating_function = RegularGridInterpolator(\n", - " (np.log10(unique_m), np.log10(unique_t)), \n", - " np.log10(dgammadt_values_grid), \n", - " method='linear'\n", - " )\n", "\n", " # gamma_interpolating_function = RegularGridInterpolator(\n", " # (np.log10(unique_m), np.log10(unique_sigma), np.log10(unique_t_limited)), \n", " # np.log10(gamma_values_grid), \n", " # method='linear'\n", " # )\n", + "\n", + " #mono\n", + " dgammadt_values_grid = np.array(dgammadt_values).reshape(len(unique_m), len(unique_t))\n", + " gamma_values_grid = np.array(gamma_values).reshape(len(unique_m), len(unique_t_limited))\n", + "\n", + " dgammadt_interpolating_function = RegularGridInterpolator(\n", + " (np.log10(unique_m), np.log10(unique_t)), \n", + " np.log10(dgammadt_values_grid), \n", + " method='linear'\n", + " )\n", " gamma_interpolating_function = RegularGridInterpolator(\n", " (np.log10(unique_m), np.log10(unique_t_limited)), \n", " np.log10(gamma_values_grid), \n", @@ -1073,63 +758,13 @@ }, { "cell_type": "code", - "execution_count": 69, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 69, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "t_es_extended = np.logspace(-0.9, 4.4, 100) #hours\n", - "m_arr_extended = np.logspace(-8, np.log10(30), 2)\n", - "\n", - "for m in m_arr_extended:\n", - " # plt.plot(t_es_extended, np.array([gamma_func_pbh([[m, t]]) for t in t_es_extended]).flatten(), label=f\"m={m:.1e}\")\n", - " # plt.plot(t_es_extended, np.array([gamma_func_pbh_finite([[m, t]]) for t in t_es_extended]).flatten(), label=f\"m={m:.1e} (finite)\", ls=\"--\")\n", - " plt.plot(t_es_extended, 10**np.array([gamma_func_pbh_finite([[np.log10(m), np.log10(t)]]) for t in t_es_extended]).flatten(), label=f\"m={m:.1e} (finite)\", ls=\"--\")\n", - "\n", - " plt.plot(t_es_extended, 10**np.array([gamma_interpolating_function_pbh([[np.log10(m), np.log10(0.1), np.log10(t)]]) for t in t_es_extended]).flatten(), label=f\"m={m:.1e} (finite)\", ls=\":\")\n", - "\n", - "\n", - "plt.xlabel(r'$t_E$ [hours]')\n", - "plt.ylabel(r'$\\Gamma(t)$')\n", - "# plt.ylim(1e-14, 1e-3)\n", - "plt.ylim(1e-30, 1e-3)\n", - "\n", - "plt.xscale(\"log\")\n", - "plt.yscale(\"log\")\n", - "plt.legend()" - ] - }, - { - "cell_type": "code", - "execution_count": 68, + "execution_count": 68, "metadata": {}, "outputs": [], "source": [ - "# dgammadt_func_ffp_finite = create_gamma_interp_ffp(data_structure)\n", "dgammadt_func_ffp_finite, gamma_func_ffp_finite = create_gamma_interp_ffp(data_structure)\n", "# pickle.dump(dgammadt_func_ffp_finite, open(\"interps/dgammadt_func_ffp_finite_new.p\", \"wb\"))\n", "# pickle.dump(gamma_func_ffp_finite, open(\"interps/gamma_func_ffp_finite_new.p\", \"wb\"))\n", - "\n", "# dgammadt_func_ffp_finite = pickle.load(open(\"interps/dgammadt_func_ffp_finite.p\", \"rb\"))\n" ] }, @@ -1139,8 +774,6 @@ "metadata": {}, "outputs": [], "source": [ - "# gamma_func = create_gamma_interp_ffp(data_structure)\n", - "# gamma_func_ffp_finite = create_gamma_interp_ffp(data_structure)\n", "# pickle.dump(gamma_func_ffp_finite, open(\"interps/gamma_func_ffp_finite.p\", \"wb\"))\n", "# gamma_func_ffp_point = create_gamma_interp_ffp(data_structure)\n", "# pickle.dump(gamma_func_ffp_point, open(\"interps/gamma_func_ffp_point.p\", \"wb\"))\n", @@ -1148,106 +781,6 @@ "gamma_func_ffp_finite = pickle.load(open(\"interps/gamma_func_ffp_finite.p\", \"rb\"))\n" ] }, - { - "cell_type": "code", - "execution_count": 305, - "metadata": {}, - "outputs": [], - "source": [ - "def sample_t_es(p, t_es, gamma_func, n_samples=1000):\n", - " pmin = min(gamma_func.grid[0])\n", - " pmax = max(gamma_func.grid[0])\n", - " tmin = min(gamma_func.grid[1])\n", - " tmax = max(gamma_func.grid[1])\n", - " if p < pmin or p > pmax:\n", - " raise ValueError(f\"p = {p} is outside of the range of p values in the interpolating function: {pmin} to {pmax}\")\n", - " if min(t_es) < tmin:\n", - " raise ValueError(f\"t_e = {min(t_es)} is outside of the range of t_e values in the interpolating function: {tmin} to {tmax}\")\n", - " if max(t_es) > tmax:\n", - " raise ValueError(f\"t_e = {max(t_es)} is outside of the range of t_e values in the interpolating function: {tmin} to {tmax}\")\n", - " \n", - " gammas = np.array([gamma_func([[p, t]]) for t in t_es])\n", - "\n", - " samples = sample_crossing_times(t_es, gammas, n_samples)\n", - " return samples\n", - " " - ] - }, - { - "cell_type": "code", - "execution_count": 306, - "metadata": {}, - "outputs": [], - "source": [ - "ts_sample = np.logspace(-1.9, 3, 100)\n", - "sampled_t_es = sample_t_es(1.0, ts_sample, gamma_func_ffp, n_samples=1000)" - ] - }, - { - "cell_type": "code", - "execution_count": 307, - "metadata": {}, - "outputs": [ - { - "ename": "NameError", - "evalue": "name 'p_arr' is not defined", - "output_type": "error", - "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", - "\u001b[0;32m/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_1609/2629412168.py\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0;31m# Create a 1x2 grid of subplots (1 row, 2 columns)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 2\u001b[0m \u001b[0mfig\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0maxes\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0msubplots\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m2\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;36m1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mfigsize\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m8\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;36m6\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 3\u001b[0;31m \u001b[0mcolors\u001b[0m \u001b[0;34m=\u001b[0m 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# Create a 1x2 grid of subplots (1 row, 2 columns)\n", - "fig, axes = plt.subplots(2, 1, figsize=(8, 6))\n", - "colors = sns.color_palette(\"colorblind\", len(p_arr))\n", - "bins = np.logspace(-2.9, 3.4, 20)\n", - "\n", - "\n", - "# Loop through each value of p\n", - "for i, p in enumerate(p_arr):\n", - " sampled_t_es = sample_t_es(p, ts_sample, gamma_func_ffp, n_samples=1000)\n", - " sampled_t_es_finite = sample_t_es(p, ts_sample, gamma_func_ffp_finite, n_samples=1000)\n", - "\n", - " bin_counts, bin_edges = np.histogram(sampled_t_es, bins=bins)\n", - " bin_counts_finite, bin_edges_finite = np.histogram(sampled_t_es_finite, bins=bins)\n", - " color = colors[i]\n", - "\n", - " # Point case on the first subplot\n", - " axes[0].bar(bin_edges[:-1], bin_counts/np.sum(bin_counts), width=np.diff(bin_edges), align=\"edge\", edgecolor=\"black\", label=f'Point, p = {p}', alpha=0.5, color=color)\n", - " axes[0].axvline(np.median(sampled_t_es), linestyle=\"--\", alpha=0.5, color=color)\n", - " axes[0].axvline(s.cadence, linestyle=\"--\", alpha=0.5, color='k')\n", - " axes[0].axvline(s.obs_time, linestyle=\"--\", alpha=0.5, color='k')\n", - "\n", - " # Finite case on the second subplot\n", - " axes[1].bar(bin_edges_finite[:-1], bin_counts_finite/np.sum(bin_counts_finite), width=np.diff(bin_edges_finite), align=\"edge\", edgecolor=\"black\", label=f'Finite, p = {p}', alpha=0.5, color=color, hatch=\"///\")\n", - " axes[1].axvline(np.median(sampled_t_es_finite), linestyle=\"--\", alpha=0.5, color=color)\n", - " axes[1].axvline(s.cadence, linestyle=\"--\", alpha=0.5, color='k')\n", - " axes[1].axvline(s.obs_time, linestyle=\"--\", alpha=0.5, color='k')\n", - "\n", - "# Set log scale and legend for both subplots\n", - "for ax in axes:\n", - " ax.set_xscale(\"log\")\n", - " ax.legend()\n", - " ax.set_xlabel(r\"$t$ [hours]\")\n", - "\n", - "plt.tight_layout()\n", - "plt.show()" - ] - }, { "cell_type": "code", "execution_count": 20, @@ -1300,7 +833,6 @@ "source": [ "plt.loglog(ts, diff_rate_01, label=\"sigma = 0.1\")\n", "plt.loglog(ts, diff_rate_1, label=\"sigma = 1\")\n", - "# plt.loglog(ts, diff_rate_15, label=\"sigma = 1.5\")\n", "plt.ylim(1e-11, 1e-5)\n", "plt.xlim(1e-1, 1e2)\n", "\n", @@ -1331,30 +863,10 @@ } ], "source": [ - "#Translate between mass function normalization between us and Johnson\n", + "#Translate between mass function normalization between us and Johnson for fiducial mass function\n", "(95**(0.73) * 0.24)/10" ] }, - { - "cell_type": "code", - "execution_count": 84, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "20.0" - ] - }, - "execution_count": 84, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "2e8/s.n_sources" - ] - }, { "cell_type": "code", "execution_count": 128, @@ -1364,42 +876,19 @@ "def yield_ffp(p):\n", " def gamma_wrapper(t):\n", " return 10**(dgammadt_func_ffp_finite([[np.log10(p), np.log10(t)]])) * s.efficiency(t)\n", - " # return quad(gamma_wrapper, 0.25, 1825*24, epsabs=0, epsrel=1e-1)[0] * s.n_sources * s.obs_time \n", " return quad(gamma_wrapper, 0.25, 24*72*6, epsabs=0, epsrel=1e-1, points=[1, 10])[0] * 2.4e8 * 24*72*6\n", "\n", "def yield_pbh(m):\n", " def gamma_wrapper(t):\n", " return 10**(dgammadt_func_pbh_finite([[np.log10(m), np.log10(t)]])) * s.efficiency(t)\n", - " # return quad(gamma_wrapper, 0.25, 1825*24, epsabs=0, epsrel=1e-1)[0] * s.n_sources * s.obs_time \n", " return quad(gamma_wrapper, 0.25, 24*72*6, epsabs=0, epsrel=1e-1)[0] * 2.4e8 * 24*72*6\n", "\n", "def yield_pbh_lognorm(m, sigma):\n", " def gamma_wrapper(t):\n", " return 10**(dgammadt_interpolating_function_pbh([[np.log10(m), np.log10(sigma), np.log10(t)]])) * s.efficiency(t)\n", - " # return quad(gamma_wrapper, 0.25, 1825*24, epsabs=0, epsrel=1e-1)[0] * s.n_sources * s.obs_time \n", " return quad(gamma_wrapper, 0.25, 24*72*6, epsabs=0, epsrel=1e-1)[0] * 2.4e8 * 24*72*6\n" ] }, - { - "cell_type": "code", - "execution_count": 63, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "0.4625" - ] - }, - "execution_count": 63, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "0.925/2" - ] - }, { "cell_type": "code", "execution_count": 70, @@ -1461,15 +950,6 @@ "yields_sigma_01 = np.array([yield_pbh_lognorm(m, 0.1) for m in masses_dense])\n" ] }, - { - "cell_type": "code", - "execution_count": 133, - "metadata": {}, - "outputs": [], - "source": [ - "from scipy.signal import savgol_filter" - ] - }, { "cell_type": "code", "execution_count": 166, @@ -1484,53 +964,6 @@ "yields_sigma_01_smooth = savgol_filter(yields_sigma_01, window_length, polyorder)\n" ] }, - { - "cell_type": "code", - "execution_count": 182, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 182, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# plt.plot(masses_dense, yields_mono/yields_mono, label=\"Mono\")\n", - "# plt.plot(masses_dense, yields_sigma_1/yields_mono, label=\"Sigma = 1.0\")\n", - "# plt.plot(masses_dense, yields_sigma_05/yields_mono, label=\"Sigma = 0.5\")\n", - "# plt.plot(masses_dense, yields_sigma_01/yields_mono, label=\"Sigma = 0.1\")\n", - "plt.plot(masses_dense, yields_mono_smooth/yields_mono_smooth, label=\"Mono\")\n", - "plt.plot(masses_dense, yields_sigma_01_smooth/yields_mono_smooth, label=\"Sigma = 0.1\")\n", - "plt.plot(masses_dense, yields_sigma_05_smooth/yields_mono_smooth, label=\"Sigma = 0.5\")\n", - "plt.plot(masses_dense, yields_sigma_1_smooth/yields_mono_smooth, label=\"Sigma = 1.0\")\n", - "\n", - "plt.xscale(\"log\")\n", - "# plt.yscale(\"log\")\n", - "# plt.ylim(1e2,1e6)\n", - "plt.xlabel(r\"$M_{\\rm{PBH}} [M_{\\odot}]$\")\n", - "plt.ylabel(\"Yield/Mono\")\n", - "plt.xlim(1e-10, 1e-2)\n", - "\n", - "plt.legend()\n", - "# plt.savefig(\"figures/pbh_estimated_yield.pdf\")" - ] - }, { "cell_type": "code", "execution_count": 390, @@ -1558,10 +991,6 @@ } ], "source": [ - "# plt.plot(masses_dense, yields_mono, label=\"Mono\")\n", - "# plt.plot(masses_dense, yields_sigma_1, label=\"Sigma = 1.0\")\n", - "# plt.plot(masses_dense, yields_sigma_05, label=\"Sigma = 0.5\")\n", - "# plt.plot(masses_dense, yields_sigma_01, label=\"Sigma = 0.1\")\n", "plt.plot(masses_dense, yields_mono_smooth, label=\"Monochromatic\", color='C0')\n", "plt.plot(masses_dense, yields_sigma_01_smooth, label=r\"$\\sigma = 0.1$\", color='C1')\n", "plt.plot(masses_dense, yields_sigma_05_smooth, label=r\"$\\sigma = 0.5$\", color='C2')\n", @@ -1582,89 +1011,137 @@ }, { "cell_type": "code", - "execution_count": 410, + "execution_count": 232, "metadata": {}, "outputs": [ { "data": { + "image/png": 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", "text/plain": [ - "0.8852242236373525" + "
" ] }, - "execution_count": 410, "metadata": {}, - "output_type": "execute_result" + "output_type": "display_data" } ], "source": [ - "max(yields_sigma_05)/max(yields_sigma_01)" + "p_arr_test = np.linspace(0.66, 1.33, 20)\n", + "our_yield = np.array([yield_ffp(p) for p in p_arr_test])\n", + "plt.plot(p_arr_test, our_yield*10, label=r'$\\mathcal{N} = 100$', ls='-.', color='k')\n", + "plt.plot(p_arr_test, our_yield, label=r'$\\mathcal{N} = 10$')\n", + "plt.plot(p_arr_test, our_yield*0.1, label=r'$\\mathcal{N} = 1$', ls='--', color='k')\n", + "\n", + "\n", + "plt.xlim(0.66, 1.33)\n", + "plt.ylim(15, 4e4)\n", + "\n", + "plt.ylabel(r\"FFP detections ($N_{\\rm{FFP}}$)\")\n", + "plt.xlabel(r\"FFP power law index ($p$)\")\n", + "plt.yscale(\"log\")\n", + "plt.legend(loc='upper center', fontsize=18)\n", + "# plt.savefig('figures/ffp_estimated_yield_comparison_new.pdf')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 238, + "metadata": {}, + "outputs": [], + "source": [ + "rho_arr = np.logspace(-2, 0.7, 1000)\n", + "A_t = 1.34\n", + "my_ut_arr = np.array([ut_func_new(rho, A_t) for rho in rho_arr])\n", + "j_ut_arr = np.array([max(1, 2*rho) for rho in rho_arr])\n", + "j_ut_alt_arr = np.array([max(3, 2*rho) for rho in rho_arr])\n" ] }, { "cell_type": "code", - "execution_count": 409, + "execution_count": 388, "metadata": {}, "outputs": [ { "data": { + "image/png": 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"text/plain": [ - "0.7373330746756069" + "
" ] }, - "execution_count": 409, "metadata": {}, - "output_type": "execute_result" + "output_type": "display_data" } ], "source": [ - "max(yields_sigma_1)/max(yields_sigma_01)" + "plt.plot(rho_arr, j_ut_arr, label=r'Johnson et. al, $\\rm{max}(1, 2\\rho)$', color='C3', linewidth=2.5)\n", + "plt.plot(rho_arr, my_ut_arr, label=r'This work, $A(u_T) = 1.34$', color='C0', linewidth=2.5)\n", + "plt.axhline(1., color='k', linestyle='--', label=r'point-source, $A_T = 1.34$')\n", + "\n", + "\n", + "plt.annotate('point-source regime', xy=(0.012, 0.25), xytext=(0.02, 0.25),\n", + " arrowprops=dict(facecolor='black', arrowstyle = '->'),\n", + " horizontalalignment='left', verticalalignment='center', fontsize=14)\n", + "\n", + "plt.annotate('finite-source regime', xy=(8.0, 0.25), xytext=(4.7, 0.25),\n", + " arrowprops=dict(facecolor='black', arrowstyle = '->'),\n", + " horizontalalignment='right', verticalalignment='center', fontsize=14)\n", + "\n", + "\n", + "plt.axvline()\n", + "\n", + "plt.legend()\n", + "plt.xscale('log')\n", + "plt.yscale('log')\n", + "plt.xlabel(r'$\\rho$')\n", + "plt.ylabel(r'$u_{\\rm T}$')\n", + "plt.xlim(1e-2, 0.95e1)\n", + "plt.ylim(2e-1, 6e0)\n", + "# plt.savefig('figures/ut_comparison.pdf')\n", + "plt.show()\n" ] }, { - "cell_type": "code", - "execution_count": 17, + "cell_type": "markdown", "metadata": {}, - "outputs": [], "source": [ - "s.add_ffp(1)\n", - "m = 3e-5\n", - "s.ffp.differential_rate_mw_mass(m, finite=True, v_disp=None, tcad=0.25, tobs= 1825*24, epsabs = 1.49e-08, epsrel = 1.49e-08, efficiency=s.efficiency, monochromatic=True)" + "## Lognormal comparison to Johnson" ] }, { "cell_type": "code", - "execution_count": 252, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ - "m_yield_arr = np.logspace(np.log10(3e-8), np.log10(3e-2), 7)" + "mass_arr = np.logspace(-2, 4, 7)*3e-6\n", + "ts = np.logspace(np.log10(0.25), np.log10(24*72*6), 30)\n" ] }, { "cell_type": "code", - "execution_count": 19, + "execution_count": null, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ - "100%|██████████| 7/7 [00:16<00:00, 2.34s/it]\n" + " 43%|████▎ | 3/7 [01:40<02:15, 33.82s/it]/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_14517/3939466292.py:9: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", + " rate = quad(lambda t: dgdt_interp(t) * roman_efficiency(t), 0.25, 24*72*6, epsabs=0, epsrel=1e-1)[0]\n", + "100%|██████████| 7/7 [05:04<00:00, 43.52s/it]\n" ] } ], "source": [ - "m_yield_arr = np.logspace(np.log10(3e-8), np.log10(3e-2), 7)\n", - "def monochromatic_ffp_yield(m):\n", - " # return s.ffp.differential_rate_mw_mass(m, finite=True, v_disp=None, tcad=0.25, tobs= 1825*24, epsabs = 1.49e-08, epsrel = 1.49e-08, efficiency=s.efficiency, monochromatic=True)*s.n_sources*s.obs_time\n", - " return s.ffp.differential_rate_mw_mass(m, finite=True, v_disp=None, tcad=0.25, tobs= 6*72*24, epsabs = 1.49e-08, epsrel = 1.49e-08, efficiency=s.efficiency, monochromatic=True) *2.4e8 * 6*72*24\n", - " # return s.ffp.differential_rate_mw_mass(m, finite=True, v_disp=None, tcad=0.25, tobs= 6*72*24, epsabs = 1.49e-08, epsrel = 1.49e-08, efficiency=None, monochromatic=True) *2.4e8 * 6*72*24\n", - " # return s.ffp.differential_rate_mw_mass(m, finite=False, v_disp=None, tcad=0.25, tobs= 6*72*24, epsabs = 1.49e-08, epsrel = 1.49e-08, efficiency=s.efficiency, monochromatic=True) *2.4e8 * 6*72*24\n", + "result_arr_point_1 = np.zeros(len(mass_arr))\n", + "for i, m in enumerate(tqdm(mass_arr)):\n", + " f = Ffp(0, l = 1.0, b = -1.03, ds=8.5, u_t = 1, m_min=m*10**(-0.5), m_max=m*10**(0.5))\n", + " dgdt_arr = np.array([f.differential_rate_mw(t, finite=False, v_disp=220) for t in ts])\n", + " dgdt_interp = interp1d(ts, dgdt_arr, kind='linear')\n", "\n", - "with Pool() as pool:\n", - " #! This isn't consistent with calculation using time?\n", - " ffp_yield_mono = np.array(list(tqdm(pool.imap(monochromatic_ffp_yield, m_yield_arr), total=len(m_yield_arr))))\n", - " # ffp_yield_mono_point = np.array(list(tqdm(pool.imap(monochromatic_ffp_yield, m_yield_arr), total=len(m_yield_arr))))\n" + " rate = quad(lambda t: dgdt_interp(t) * roman_efficiency(t), 0.25, 24*72*6, epsabs=0, epsrel=1e-1)[0]\n", + " result_arr_point_1[i] = rate * 24*72*6 * 2.4e8" ] }, { @@ -1673,428 +1150,276 @@ "metadata": {}, "outputs": [], "source": [ - "#Johnson is using 2e8 for n_sources and 6*72*24 hours for observation duration. " + "our_ut_1_finite = np.array([0.054581, 1.747823, 18.989170 , 72.575551, 233.820611, 744.041794, 2372.639453]) #fiducial \n", + "our_ut_1_point = np.array([6.66058132e-01, 4.51597126e+00, 1.91777526e+01, 6.94530989e+01,2.29975935e+02, 7.40354621e+02, 2.36208973e+03])\n", + "result_arr_point_1 = np.array([6.66058132e-01, 4.51597126e+00, 1.91777526e+01, 6.94530989e+01, 2.29975935e+02, 7.40354621e+02, 2.36208973e+03])\n", + "result_arr_point_3 = np.array([4.19731590e+00, 1.84469580e+01, 6.56940092e+01, 2.17129007e+02, 7.01789494e+02, 2.24181653e+03, 7.11845702e+03])\n", + "result_arr_point_35 = np.array([5.09027157e+00, 2.15841384e+01, 7.61618731e+01, 2.51482464e+02, 8.08879645e+02, 2.57807882e+03, 8.16249999e+03])\n" ] }, { "cell_type": "code", - "execution_count": 494, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ - "def monochromatic_ffp_yield_t(m):\n", - " s.add_ffp(0.73, m_min = m*10**(-0.25), m_max = m * 10**(0.25))\n", - " with Pool() as pool:\n", - " func_ffp = functools.partial(differential_rate_mw_duration, s=s, finite=True)\n", - " ffp_t_mono = list(tqdm(pool.imap(func_ffp, t_es_ffps), total=len(t_es_ffps)))\n", - " ffp_t_mono = np.array(ffp_t_mono)\n", - " return ffp_t_mono * t_es_ffps * 2.4e8 * 6*72*24 " + "johnson_logn_new = np.array([0.306, 4.49, 22.1, 87.1, 313, 1025, 3329])\n", + "johnson_fid_new = np.array([0.611, 8.97, 44.2, 108, 72.3, 44.1, 26.7])\n", + "N_power_our_fid_arr= []\n", + "for m in mass_arr:\n", + " N_power_our_fid_arr.append(10*(m/(3e-6))**(-1))\n", + "N_power_our_fid_arr = np.array(N_power_our_fid_arr)\n", + "\n", + "N_power_new_arr= []\n", + "for m in mass_arr:\n", + " N_power_new_arr.append(0.24*(m/(95*3e-6))**(-0.73))\n", + "N_power_new_arr = np.array(N_power_new_arr)\n" ] }, { "cell_type": "code", - "execution_count": 495, + "execution_count": null, "metadata": {}, "outputs": [ { - "name": "stderr", - "output_type": "stream", - "text": [ - "100%|██████████| 50/50 [01:20<00:00, 1.60s/it]\n", - "100%|██████████| 50/50 [01:29<00:00, 1.80s/it]\n", - "100%|██████████| 50/50 [01:36<00:00, 1.93s/it]\n", - "100%|██████████| 50/50 [01:38<00:00, 1.97s/it]\n", - "100%|██████████| 50/50 [01:12<00:00, 1.45s/it]\n", - "100%|██████████| 50/50 [01:07<00:00, 1.36s/it]\n", - "100%|██████████| 50/50 [01:25<00:00, 1.72s/it]\n" - ] + "data": { + "text/plain": [ + "array([2.17666056, 1.00578424, 0.86777161, 0.79739494, 0.7347474 ,\n", + " 0.72229719, 0.70954933])" + ] + }, + "metadata": {}, + "output_type": "display_data" } ], "source": [ - "yield_mono_t = []\n", - "for m in m_yield_arr:\n", - " yield_mono_t.append(monochromatic_ffp_yield_t(m))\n", - "yield_mono_t = np.array(yield_mono_t)" + "our_ut_1_point/johnson_logn_new" ] }, { "cell_type": "code", - "execution_count": 530, + "execution_count": null, "metadata": {}, "outputs": [ { - "name": "stdout", - "output_type": "stream", - "text": [ - "[2.20620453e+00 3.37112575e+01 1.35644108e+02 3.97892762e+02\n", - " 1.23753746e+03 3.95605101e+03 1.25340761e+04]\n" - ] + "data": { + "text/plain": [ + "array([0.17836928, 0.38927016, 0.85923846, 0.83324398, 0.74703071,\n", + " 0.72589443, 0.71271837])" + ] + }, + "metadata": {}, + "output_type": "display_data" } ], "source": [ - "yield_mono_t_total = []\n", - "for row in yield_mono_t:\n", - " efficiencies = [s.efficiency(t) for t in t_es_ffps]\n", - " yield_mono_t_total.append(sum(row*efficiencies))\n", - "yield_mono_t_total = np.array(yield_mono_t_total)\n", - "print(yield_mono_t_total)" + "our_ut_1_finite/johnson_logn_new" ] }, { "cell_type": "code", - "execution_count": 134, + "execution_count": null, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "0.004635280710044882\n", - "0.024892931263957835\n", - "0.133682955936045\n", - "0.7179199797041957\n", - "3.855458563506397\n", - "20.70503838190914\n", - "111.192639561517\n" + " m [M_earth] Our Log-Uniform Johnson Log-Uniform Our Fiducial \\\n", + "0 0.01 0.054581 0.306 54.580964 \n", + "1 0.10 1.747823 4.490 174.782304 \n", + "2 1.00 18.989170 22.100 189.891703 \n", + "3 10.00 72.575551 87.100 72.575551 \n", + "4 100.00 233.820611 313.000 23.382061 \n", + "5 1000.00 744.041794 1025.000 7.440418 \n", + "6 10000.00 2372.639453 3329.000 2.372639 \n", + "\n", + " Johnson Fiducial Power \n", + "0 58.839761 \n", + "1 160.766595 \n", + "2 147.347152 \n", + "3 108.135335 \n", + "4 72.359209 \n", + "5 44.123844 \n", + "6 26.684758 \n" ] } ], "source": [ - "# print(quad(lambda mint: 1/(mint*np.log(10)) * 0.24*(mint/95)**(-0.73), m * 10**(-0.25), m * 10**(0.25), epsabs=0, epsrel=1e-1)[0])\n", - "m_yield_arr_earth = np.logspace(-2,4,7)\n", - "N_power_arr = []\n", - "for m in m_yield_arr_earth:\n", - " # N_power = quad(lambda logm: 0.24*(10**(logm)/95)**(-0.73), np.log10(m)-0.25, np.log10(m)+0.25, epsabs=0, epsrel=1e-1)[0]\n", - " N_power = quad(lambda logm: 0.24*(10**(logm)/95)**(-0.73), np.log10(m)-0.5, np.log10(m)+0.5, epsabs=0, epsrel=1e-1)[0]\n", - "\n", - " N_power_arr.append(N_power)\n", - " print(1/N_power)\n", - "N_power_arr = np.array(N_power_arr)" + "df = pd.DataFrame({'m [M_earth]': np.round(mass_arr/3e-6,2), 'Our Log-Uniform': result_arr, 'Johnson Log-Uniform': johnson_logn_new, 'Our Fiducial': N_power_our_fid_arr*result_arr, 'Johnson Fiducial Power': johnson_logn_new*N_power_new_arr})\n", + "print(df)" ] }, { "cell_type": "code", - "execution_count": 75, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ - "johnson_ops = np.array([1.22, 17.9, 88.3, 349, 1250, 4100, 13300])\n", - "johnson_logn = np.array([0.349, 5.13, 25.2, 83.0, 298, 976, 3170])\n", - "johnson_logn_new = np.array([0.306, 4.49, 22.1, 87.1, 313, 1025, 3329])\n", + "#full power law comparison\n", + "M_norm = 3e-6\n", + "Z_fiducial = 10\n", + "f = Ffp(1, l = 1.0, b = -1.03, ds=8.5, u_t = 1, m_min=1e-12, m_max= 1e-1)\n", + "z_earth = Z_fiducial/(f.Z*(M_norm/f.M_norm)**(-p))\n", + "dgdt_arr = np.array([f.differential_rate_mw(t, finite=True, v_disp=220) for t in tqdm(ts)])\n", + "dgdt_interp = interp1d(ts, dgdt_arr, kind='linear')\n", "\n", - "johnson_fid = np.array([0.698, 10.3, 50.5, 103, 68.9, 42.0, 25.4])\n", - "johnson_fid_new = np.array([0.611, 8.97, 44.2, 108, 72.3, 44.1, 26.7])\n" + "rate = quad(lambda t: dgdt_interp(t) * roman_efficiency(t), 0.25, 24*72*6, epsabs=0, epsrel=1e-1)[0]\n", + "print(rate * 24*72*6 * 2.4e8 * z_earth)" ] }, { "cell_type": "code", - "execution_count": 136, + "execution_count": null, "metadata": {}, "outputs": [ { - "name": "stdout", - "output_type": "stream", - "text": [ - "1281.481262752058\n", - "550.3659105938857\n" - ] + "data": { + "text/plain": [ + "525.0256409207203" + ] + }, + "metadata": {}, + "output_type": "display_data" } ], "source": [ - "# fudge_fac = 0.925\n", - "fudge_fac = 0.925/2\n", - "N_events_power = N_power_arr*johnson_ops*fudge_fac\n", - "print(sum(N_events_power))\n", - "print(yield_ffp(0.73)*0.667 * fudge_fac)" + "#Should be close to for power-law calc and log-uniform calc to agree\n", + "sum(N_power_our_fid_arr*result_arr)" ] }, { "cell_type": "code", - "execution_count": 76, - "metadata": {}, - "outputs": [], - "source": [ - "N_power_new_arr= []\n", - "for m in m_yield_arr_earth:\n", - " N_power_new_arr.append(0.24*(m/95)**(-0.73))\n", - "N_power_new_arr = np.array(N_power_new_arr)\n", - "\n", - "N_power_our_fid_arr= []\n", - "for m in m_yield_arr_earth:\n", - " N_power_our_fid_arr.append(10*(m/1)**(-1))\n", - "N_power_our_fid_arr = np.array(N_power_our_fid_arr)" - ] - }, - { - "cell_type": "code", - "execution_count": 8, + "execution_count": null, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "array([1.e+03, 1.e+02, 1.e+01, 1.e+00, 1.e-01, 1.e-02, 1.e-03])" + "Text(0, 0.5, 'Number of Events')" ] }, - "execution_count": 8, "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "N_power_our_fid_arr" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": {}, - "outputs": [ + "output_type": "display_data" + }, { "data": { + "image/png": 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", "text/plain": [ - "618.2566543609894" + "
" ] }, - "execution_count": 7, "metadata": {}, - "output_type": "execute_result" + "output_type": "display_data" } ], "source": [ - "np.sum(N_power_new_arr*johnson_logn_new)" + "plt.loglog(mass_arr/3e-6, result_arr, label='Our Log-Uniform')\n", + "plt.loglog(mass_arr/3e-6, johnson_logn_new, label='Johnson Log-Uniform')\n", + "plt.legend()\n", + "plt.xlabel('Mass [M$_\\oplus$]')\n", + "plt.ylabel('Number of Events')\n" ] }, { - "cell_type": "code", - "execution_count": 238, + "cell_type": "markdown", "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "1107.9789999999998" - ] - }, - "execution_count": 238, - "metadata": {}, - "output_type": "execute_result" - } - ], "source": [ - "np.sum(N_power_our_fid_arr*johnson_logn_new)" + "## Comparison with Popsycle" ] }, { - "cell_type": "code", - "execution_count": 243, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "1.9045355833263322" - ] - }, - "execution_count": 243, - "metadata": {}, - "output_type": "execute_result" + "attachments": { + "image.png": { + "image/png": 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" } - ], - "source": [ - "yield_ffp(0.73)*0.66/np.sum(N_power_new_arr*johnson_logn_new)" - ] - }, - { - "cell_type": "code", - "execution_count": 120, - "metadata": {}, - "outputs": [], - "source": [ - "df = pd.DataFrame({\n", - " 'N*johnson_logn_new': N_power_new_arr*johnson_logn_new,\n", - " 'johnson_fid_new': johnson_fid_new,\n", - " 'N*johnson_logn_old': N_power_new_arr*johnson_logn,\n", - " 'N*johnson_ops/4': N_power_new_arr*johnson_ops/4,\n", - " 'My Mono': np.array([2.20620453e+00, 3.37112575e+01, 1.35644108e+02, 3.97892762e+02, 1.23753746e+03, 3.95605101e+03, 1.25340761e+04]),\n", - " 'Johnson Mono': johnson_ops\n", - "})\n" - ] - }, - { - "cell_type": "code", - "execution_count": 121, + }, + "cell_type": "markdown", "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "N*johnson_logn_new 618.256654\n", - "johnson_fid_new 304.881000\n", - "N*johnson_logn_old 658.167367\n", - "N*johnson_ops/4 617.399176\n", - "My Mono 18297.118902\n", - "Johnson Mono 19106.420000\n", - "dtype: float64\n" - ] - } - ], "source": [ - "print(df.sum(axis=0))" + "![image.png](attachment:image.png)" ] }, { "cell_type": "code", - "execution_count": 250, + "execution_count": 108, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - " N*johnson_logn_new johnson_fid_new N*johnson_logn_old N*johnson_ops/4 \\\n", - "0 58.839761 0.611 67.108093 58.647474 \n", - "1 160.766595 8.970 183.682101 160.229513 \n", - "2 147.347152 44.200 168.015758 147.180470 \n", - "3 108.135335 108.000 103.045152 108.321561 \n", - "4 72.359209 72.300 68.891515 72.243619 \n", - "5 44.123844 44.100 42.014509 44.123844 \n", - "6 26.684758 26.700 25.410238 26.652695 \n", - "\n", - " My Mono Johnson Mono \n", - "0 2.206205 1.22 \n", - "1 33.711258 17.90 \n", - "2 135.644108 88.30 \n", - "3 397.892762 349.00 \n", - "4 1237.537460 1250.00 \n", - "5 3956.051010 4100.00 \n", - "6 12534.076100 13300.00 \n" + "1.025\n" ] } ], "source": [ - "print(df)" + "# t_e_typical = 4.1 * (1e7)**(1/2) * (4)**(1/2) * (280/50)**(-1) / 24 # 30 solar mass, days\n", + "t_e_typical = 4.1 * (1)**(1/2) * (1)**(1/2) * (200/50)**(-1) #earth mass, hours\n", + "print(t_e_typical)" ] }, { "cell_type": "code", - "execution_count": 78, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "0.3492112416142914" - ] - }, - "execution_count": 78, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ - "yield_ffp(1.0)/np.sum(N_power_our_fid_arr*johnson_logn_new)" + "t_e_typical = 4.1 * (1e7)**(1/2) * (4)**(1/2) * (280/50)**(-1) / 24 # 30 solar mass, days\n" ] }, { "cell_type": "code", - "execution_count": 191, + "execution_count": 88, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "316.64084819172757" + "0.0026355798207862223" ] }, - "execution_count": 191, + "execution_count": 88, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "yield_ffp(0.73)*0.667 " + "4.1 * (1e-6)**(1/2) * (8)**(1/2) * (220/50)**(-1) #earth mass, hours" ] }, { "cell_type": "code", - "execution_count": 192, + "execution_count": 92, "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "386.9187222725609" - ] - }, - "execution_count": 192, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ - "yield_ffp(1)" + "nick_tes_30 = pd.read_csv('popsycle_data/nick-t_E-30msun-sep8-nocut.csv', header=None).values.flatten()\n", + "nick_tes_earth = pd.read_csv('popsycle_data/nick-t_E-earthmass-sep8.csv', header=None).values.flatten()\n", + "nick_tes_data = {\n", + " 3e-6: nick_tes_earth, \n", + " 30: nick_tes_30 \n", + "}" ] }, { "cell_type": "code", - "execution_count": 232, + "execution_count": 93, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" - } - ], - "source": [ - "p_arr_test = np.linspace(0.66, 1.33, 20)\n", - "# p_arr = np.linspace(0.7, 1.33, 16)\n", - "our_yield = np.array([yield_ffp(p) for p in p_arr_test])\n", - "# plt.plot(p_arr_test, np.array([yield_ffp(p) for p in p_arr_test])*0.925/2*0.667, label=\"FFP\")\n", - "plt.plot(p_arr_test, our_yield*10, label=r'$\\mathcal{N} = 100$', ls='-.', color='k')\n", - "plt.plot(p_arr_test, our_yield, label=r'$\\mathcal{N} = 10$')\n", - "plt.plot(p_arr_test, our_yield*0.1, label=r'$\\mathcal{N} = 1$', ls='--', color='k')\n", - "\n", - "\n", - "# plt.plot(p_arr_test, our_yield/(0.35), color='C1', label='Scaled Result')\n", - "\n", - "# plt.fill_between(p_arr_test, our_yield/(1.61), our_yield, alpha=0.5, label=\"Our Result\")\n", - "# plt.fill_between(p_arr_test, our_yield*0.1, our_yield*10, alpha=0.2, color='C0')\n", - "\n", - "\n", - "# plt.plot(1, np.sum(N_power_our_fid_arr*johnson_logn_new), 'o', label=r\"Our Fiducial $\\times$ Johnson LogUniform\", color='C1')\n", - "# plt.plot(0.73, np.sum(N_power_new_arr*johnson_logn_new), 'o', label=\"Johnson Fiducial Power Law\", color='C1')\n", - "\n", - "\n", - "# plt.yscale(\"log\")\n", - "plt.xlim(0.66, 1.33)\n", - "plt.ylim(15, 4e4)\n", - "\n", - "plt.ylabel(r\"FFP detections ($N_{\\rm{FFP}}$)\")\n", - "plt.xlabel(r\"FFP power law index ($p$)\")\n", - "plt.yscale(\"log\")\n", - "plt.legend(loc='upper center', fontsize=18)\n", - "# plt.savefig('figures/ffp_estimated_yield_comparison.pdf')\n", - "# plt.savefig('figures/ffp_estimated_yield_comparison_new.pdf')\n", - "\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 463, - "metadata": {}, - "outputs": [ + }, { "data": { - "image/png": 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SXQtO9BFffjDRR7xp3UQf8TNbCxd9rdBsGhsb1djYqHA4nPBjCMdJcuHCBRUWFs5/4AwsGXnadaJ7/gNTzJKR91iPczgcsUB77tw5+Xy+2Papq8nRntzJfD6fSktL4z6f/Nx2u11+v3/OcHz8+PFpfc9Hjx6V2+2Wx+NRXV2dXC5XXGh1OBxzPud8vF5v7PlaW1sVCoWmXaSXSH01NTXT2jBqa2vjts3UR8zkCQBAKvQMjsr7+zv6+/ab+rdAV2x7bqZVLz0ZmUfs3LteGTbrktcSXbTs7e1VUVFiF/MRjtOAxWJ5rHaFlcThcMjj8cRWT30+n1wul2pqamKrxIFAQIFAQIcOHYp77OTV1Pr6+liLRSgUigXEmXqao/x+v0Kh0LRV0aqqqlg9M72utLiAWVtbGwvC0VXvqqoqdXZ2xj3vfPW53W4dP35c5eXlqq2tja28Lya4AwCQTKPhcf388gP9vf+mfvThXQ1N6iP+Unmkj/jlpzarMCczxZXOj3CMJRcIBOKCnMPhUH19vZxOp8rLy+Xz+eR0OmNBd75AGm1BiPYyz9cb3NbWJimy4jz52JKSErnd7oRfd7Hq6+vV0NCg06dPx/X0zlef3W5XZ2enXC6XvF6vzpw5I4fDMWN7BgAAy8UwDL17PaR/eO+Wzl68pft9E33EFZsK9JdV2/UXldu1Iw36iBeCcIwlF139nMrhcKiysjJ2A4rJkxxmWxU9c+aMPB7PjBf3zSZ63GyrrdFwHK1jqU2d7TxffX6/X5WVlbGe40AgMGPInupxv57oSvpamyQCAEjMH+4+0j+8d0tvXLylQNfEtK2NBVl6xewjrtxWtGR9xEtt6Zs9sOZ5vd5Z901uJ4j2+M50Y5Bon3H0jnpT7zwXfa7J/chRTqcz1pc80/NGXze6grvUJvcKh0KheeuLtqFERVtU5ruBymLGxS3FpA4AwMp1LTgg91uf6Jn/z7/pyf/5S/2P81cU6BpQfpZNf35wm/7l//Gsbvy/a/T//dqTqtpuX7HBWCIcYxlEVzqnrmR6vd5pq6Uej0enT5+OO3ZqyJu6z+FwKBQKxUadzXRcc3PztAv9AoFA7JiZVrejwbSrq0sLEa13pnAabR+Jvm50LN189U2tLXq3vahDhw7FvV40OM+2ejx1e2VlZeyHg+hKNQBgbbv/aFiNv+7U5//vd1T2P87r1E8/0u/v9CrTZtFXP7VJ//AXlbr7t8/r7/+iUi9UbFLmMlxgtxwshmEYqS5iJYte/djT0/PY0ypWu+itlKPjx7q6uhQKhVReXq6TJ09OOz4657i8vDw2jSL6K36fzyePx6Pq6mpVVlaqpKREdrtdLpdL1dXVsVszNzU1qbKyUg0NDbEL+CbPT5Yiq6O1tbVxr3v27FlVV1crGAzK4XDI5XIpEAjo6NGj897yORQKTQv2drs9LtiGQqFYCI6OtosG0dnqi844js58jj7P5L+7QCAQu8BRmlhdjvZzt7S0xJ5/tr+b6OMdDkfc3wsAYO3oHRrVDz+8q39875Z8Vx4qPB6JiRaL9EVHqb5ZuU0vP7VFJXlZKa50YRaS1wjHi0Q4BgAAK9nQaFg/vXRfb7x3Sz/+w73YpAlJqt5h1ysHt+rY09u0tSgnhVUuzkLyGhfkAQAArDFj4XH9oqNL//jeLf3TB3fUOzQW27d/Y4G+eXCbXnlmq/ZuKEhhlalBOAYAAFgDDMPQ78zRay3v39a9R8OxfTvsOTr2zDb9+cFtenoJ71i3EhCOAQAAVrEP7/TqHy/e0hvv3VZncGL0Wmlepuqe3qpvHtymz+4ukdW6dgPxZIRjAACAVeZqcEBvXLylf3zvlj648yi2PT/Lpq8/uVmvHNymmic2rJoJE8lEOAYAAFgF7j8a1rn3b+uNi7f0m6vdse1ZNqu+sn+Dvnlwu16s2Ki8LOLfXPjbAQAAWKF6h0b1gw8io9fOfxI/eu25Pev1yjPb9PJTm1W8wkavpRLhGAAAYAUZGg3rJx/d0xvv3daPP7qn4Umj157dYdc3K7fp6NNbtaVw5Y5eSyXCMQAAQJobC4/rrU8e6h/fu6UffHg3bvTagY0F+mblNr3yzDbtWZ+fwipXB8IxAABAGjIMQ7+91h0bvXa/byS2b6c9V68c3KZvHtyqT29Z26PXko1wnCTV1dWy2Ww6ceKETpw4kepyAADAChSdRdzy/m15f39bN0JDsX3r87PM0Wtb9ce7GL2WiMbGRjU2NiocDif8GG4fvUjcPhoAACyGYRh693pI596/re///o6uhwZj+9ZlZ+ilJzfrmwe36fDe9Yxee0zcPhoAACCNRQNxy+9vy/t+fCAuyLbpa5/arNpPb9WRfRuUk2lLYaVrD+EYAABgGRiGoQs3Qmp5/468v7+ta93xgfirFZtV+/QWHdm3UbkE4pQhHAMAACwRwzDUdqNH58we4smBOD/Lpq9+arNqP71FX95PIE4XhGMAAIAkigbiSMvEbV2dEoj/rGKT6p7eSiBOU4RjAACARTIMQ+03zRXiGQLxi2Yg/gqBOO0RjgEAAB5DNBBHxq7dUWdwILYvL9OmP/vUJtV+eou+sn+j8rKIXCsFZwoAACBBhmHIf6tHLe/fUcv7t6cF4hcrIoH4Tw8QiFcqzhoAAMAcDMPQe7d6dM6cMhHoig/ELxzYGGuZyM8mWq10nEEAAIApooG45feRFeLJgTg306oXDkR6iP+UQLzqcDYBAAAUCcQXb/eq5f3bann/tjqmBOI/3R8JxC8cIBCvZpxZAACwZhmGofdv95pziO/ok4f9sX05GZEV4tqnt+iFA5tUQCBeEzjLAABgTYm2THz/gztqeX96IP5Ts4eYQLw2ccYBAMCqFx439OvOoH7w4R398MO7cXeqy8mw6iv7JwLxuhzi0VrG2QcAAKvS8FhYb115qH/68K7++cO7etA/EtuXm2nVkX2RQPwigRiT8H8CAABYNfqGx/Svl+7rBx/c0U8+uq9Hw2OxffbcTP1ZxSa99ORmHdm3gTnEmBH/VwAAgBXtYf+w/uU/7ukHH9xV65UHGh4bj+3bvC5bLz25WV9/aou+WF6qTJs1hZViJSAcAwCAFedGaFA//PCufvjBHf1boEvjxsS+8tI8ff2pLfr6k5v1mZ3FslotqSsUKw7hGAAArAiX7j/SDz64qx9+eFcXboTi9j29tVBff3KLvv7UZj25eZ0sFgIxHg/hGAAApCXDMNR+sycyYeKDu/rofl9sn8Ui/fGuYr1kBmJHaX4KK8VqQjgGAABpIzxu6J3OLv3TB3f1ow/v6npoYuRaps2i5/as10tPbtbXPrVZmwtzUlgpVivCMQAASKmh0bDOX3mof/rwjv7lP+7p4aSRa3mZNn1l/0a99NRmvXBgk+y5mSmsFGsB4ThJqqurZbPZdOLECZ04cSLV5QAAkNYeDY3pp5ciEyZ+eume+obDsX3FuZn66qc26aUnt+j5fRuUm2lLYaVYyRobG9XY2KhwODz/wSaLYRjG/IdhNr29vSoqKlJPT48KCwtTXQ4AAGnrQd+w/vk/7ukHH9yR78pDjYQnRq5tK8rR1z61WV9/arP+xMHINSTXQvIaK8cAAGDJXO8e0A8+vKsffHBH73QG40au7V2fHxu5Vr3Dzsg1pAXCMQAASBrDMPSHe3364Yd39MMP76r9Zk/c/oPbCs1AvEUVmwoYuYa0QzgGAACLMjI2rl8FuvQvf7inH//hnjqDA7F9Fov0ud0l+vpTW/TSk5u1uyQvhZUC8yMcAwCABXvYP6x/vXRfP/6Pe3rz4wfqHRqL7cuyWXV4b2Tk2lc/tVmb1mWnsFJgYQjHAABgXoZh6KN7febq8F39+7XuuP7hjQVZeqFik148sEk1T2xQQTYRAysT/+cCAIAZjYyN6+3OiXaJQNdA3P5PbynUixWb9GcVm7igDqsG4RgAAMR09Y/op5fuzdou8aU9pXrRXCHeRf8wViHCMQAAa5hhGLp0vy+2Ovybq8Fp7RJ/eiCyOky7BNYC/g8HAGCNGQ1Hpkv82AzEHVPaJZ7ass5sl9isZ2mXwBpDOAYAYA3o6h+JTJf4wz397PL9GdslXjBXiGmXwFpGOAYAYBWKtktEV4d/PaVdYkN+ll44sEkvfmqTavZu0LocIgEgEY4BAFg1RsPjejsQ1L/84e6M7RJPbl4Xmy7x7M5i2WiXAKYhHAMAsIIFBya1S1y6r55J7RKZNou+VL4+Ml2iYhN3pwMSQDgGAGAFMQxDlx/06V/+Y+Z2ifX5WXrhwEa9WLFJzz+xkXYJYIH4jgEAIM0NjIzplx1d+tnlB/rZpfv65GF/3P5ou8SLFZv0GdolgEUhHAMAkGaiF9P97PJ9/ezSff0qENTw2Hhsf6bNoi+Wl+rFis168cAmlZXSLgEkC+EYAIA00Ds0qvNXHupnl+/rzUsPdD00GLd/hz1HX96/UUf2bZRz73oV5mSmqFJgdSMcAwCQAuPjht6/06ufXbqvNy/f12+udmtsUvNwdoZVX3CU6sj+Dfryvo3av7FAFgvtEsBSIxwDALBMuvpH1PpxpG/4zY8f6N6j4bj9e9fn68j+jfryvg36gqNU+dyqGVh2fNcBALBEwuOGLtwIxVaH370RkjFpskR+lk3P7VmvI/s26si+DSpfn5+6YgFIIhwDAJBUd3qH9OblB3rz8n39/PIDdQ+Oxu1/ass6Hdm3UV/et1GfLStWdoYtRZUCmAnhGACARRgZG9dvrgb1MzMQv3+7N25/UU6Gnn9ig47s36jnn9ig7fbcFFUKIBGEYwAAFuhqcEBvXr6vNy8/0PkrD/VoeCxu/6HtRWbv8EZ9ZqddGTZriioFsFCEYwAA5jE4GtavAl1m7/ADXbrfF7d/Q36WjuyLrA7X7N2gjeuyU1QpgMUiHAMAMIVhGPr4Qb85c/i+ftnRpaFJN+GwWS36o13FOrJvg768f6MObi2SlbvSAasC4RgAAEVuwvHLjonV4c7gQNz+bUWRm3B8ed8GHd67QfZcbsIBrBThoWDCxxKOAQBr0tBoWP9+rVvnrzzUW5881IUbIYUn3YQjy2bV5x0lOrJvo76yf6MqNnETDmAlMcaGNXD1X9X30fd076OfJPw4wnGSVFdXy2az6cSJEzpx4kSqywEATBEeN+S/2aPznzzQW1ce6p3OYFyrhCSVl+ZFxqzt36gvlpeqgJtwACuKYRgavvM79V36nvovn9P4cHdkx6QffOdjMQwj8aMxTW9vr4qKitTT06PCwsJUlwMAMBmGoY/u9en8Jw/11pUH+mVHl3qG4qdKbF6Xref2rNdze9fr8J712lWSl6JqASzGaE9AfR99T32X/lFjoU9i2235W1Ww/xWNb/+aNjj+OKG8xo/EAIBV43r3QKxN4q1PHupOb/ztmYtyMvTF8lI9t3eDDu9ZrwO0SgArVnioW/0fe9V36Xsavv2b2HZLZr7y97ykggN/qZztX5TFalNvb+8czxSPcAwAWLEe9A3rF590xVolOrriL6LLybDqc2Ul5srwBh3cVsjMYWAFM8IjGrj6M/V99D0NdP5ECo9Edlisyt1xWAUH/lx5e16SNfPxb8VOOAYArBh9w2P6VaArtjo89W50NqtF1Tvsem7Peh3eu15/tKtYOZncnhlYyQzD0PDdCxN9xENdsX1Z659SwYG/UP6+V5RRsDUpr0c4BgCkreGxsH47aaLEu9dDGptyYc1TW9aZYXiD/sRRosIcRqwBq8Foz1X1XfoH9V/6nka7r8S22/I2K3//N1Vw4M+VveHppL8u4RgAkDbC44Yu3u6JhOErD/V2Z5cGR+MnSpSV5MUuoPvSnvXaxN3ogFUjPBRS/5XvR/qIb70T227JyFPenq+pYP9fKHfnc7JYly7CEo4BACljGIYuP+iLheFfdnSpe3A07piNBVk6vHdDZKrEnvUqK2WiBLCaGOFRDV57M9JHHPixjHD0QlqLcnZ8SQUH/lz5e74ua9a6ZamHcAwAWFY3Q4OxNonzVx7qdu9Q3P7CnAx9wVEaWx3+1OZ1TJQAVhnDMDRyr119l76nvstnNT74MLYvs7RCBQf+UgX7XlHGuu3LXhvhGACwpO72DuntzqDe+uShfvHJQ338oD9uf3aGVZ/dHZko8dye9Tq0vYiJEsAqNdp7Tf2X/kF9H31Po90fx7bb8jYpf98rKjjw58ra8ExKfyAmHAMAksYwDAW6BvR2Z1Bvd3bpnUBQVx7Gh2GrRTq03R5ZGd67Xn+8u0S5TJQAVq3x4R71X/kn9X30PQ3d+lVsuyUjV3nlX430Ee9yLmkf8UKkRxUAgBVpfNzQh3cfRYJwZ1C/CnRNu/GGxSJ9ekuhPu8o1eE96/WF8lLZc5koAaxmRnhUg9dbI33EHf8iIxxtn7IoZ/sXIuPX9nxd1uz0u7sw4RgAkLCRsXG13wzp7c6g3gkE9c7VoEJTLqDLtEVmDX+urFSfLyvRZ8tKCMPAGmAYhkbuvxe5jfPlNzQ++CC2L7Nkvwr2/4UK9n9TGYU7U1jl/AjHAIBZ9Q2P6bfXuiNtEoEu/e5697TRavlZNv3x7uJYGP7MrmLaJIA1ZOzRDfVd+kf1ffT3Gg1eim235m5Qwb5jKjjwl8raeHDFXFhLOAYAxHT1j+gds1/47UBQ/ls9Ck+56UZpXqY+7yjV58pK9PmyUm7JDKxB4cGH6v/4++r7+Gz8PGJbdqSP+MBfKHdnjSy2lfdbI8IxAKxhN0KDejvQpV8Fgnqns0t/uNc37Zid9lx93lESC8MHNhWsmBUgAMkzPvJIAx3/rL7LZzV43SeNj8X25Wz7k0gf8d6XZc0uSmGVi0c4BoA1InrDjV8Fgnon0KW3O4O61j047bgDGwv0OUckCH++rES7SrjpBrBWGWPDGrj2pvovvaGBzp/IGJv4NyNr40EV7Dum/CfqlLFuRwqrTC7CMQCsUmPhcb1/p1e/CkRGqr3TGdSD/pG4Y2xWiw5uLdTnHJEg/LmyEm0o4HbMwFpmjIc1dPPf1Hf5rAY++YHGh0OxfRn2PSrY94ry9x1TVsm+1BW5hAjHALBKDI2G9e71kH5lzhf+zbWg+obDccfkZFj1mZ3F5spwif5oV4nW5fBWAKx1kTvWtanv0hvq/7hF4YG7sX22/K3K33dUBfteWVEX1j0u/kUEgBXqbu+Qfnc9pN9e79Y7gS5duNGjkXD8JIminAx9dndJrE3i0I4iZWcwSQJAxEjwI/VfekN9l89prKcjtt2aXaz8vS8rf98rytn2OVmsa+ffDcIxAKwAAyNj8t/q0e+uhfTu9W797npI10PT+4U3r8uOtEeYbRJPbSmUzbq6V3kALMxY73X1fXxO/Zfe0MjD38e2WzLylFf+ZyrYd0y5u56XxZaVwipTh3AMAGlmfDxy4dzvrof0u+vdevd6t35/59G0kWoWi1SxcZ2e3WXXZ3dH2iT2rM9f9b/yBLBw4YEH6r/yffVdPqvh27+e2GHNUO6u51Ww7xXllf+ZrJn5qSsyTRCOASDF7j8a1u/M1eB3r3frwo2QeobGph23eV22PrPTrmd3FuszO4t1aEeRCnNW3gxRAMtjfOSR+jt+pP5L5ug1I3oNgkU52/9E+fuOKX/P12XLLU1pnemGcAwAy2hoNKz3bvXEgvBvr3Xr6gzj1HIzrarabtezO+36zM5ifWanXTvsuawKA5iTMTasgas/U//lNzQQ+ImM8FBsX9bGShXsfyUyeq1gWwqrTG+EYwBYIoZh6MrD/siqsNkr/P6dXo2GjWnHHthYoM/sLI6E4V3FenLzOmVy1zkACYiMXvtlZPTalR9ofKQnti+zeK/y972ign3HlFn8RAqrXDkIxwCQJF39I3HtEe9eD6l7cHTacRvysyJBeFdkVbh6h132XNojACTOMAwN372g/stvqP9jb/zotYJtyn/iqAr2v6KsDc/wG6cFIhwDwGMYHgvr4q1e84K5yIVzHV0D047LzrCqclvRpPaIYu0uoT0CwOMZ6fqD+i6/of7L5zTWE4htt+aUKH/Py8rfb45es/Cbp8dFOAaAeRiGoUDXgH53vVu/vR7Su9e6dfF277SZwpL0xIb8ifaIncX69JZCZWXwJgXg8Y32XlP/5XPqv/yGRh5+ENseGb32VXP0Ws2aHb2WbIRjAJjEMAx1Bgd08XavLt7qkf9mj969EdLDKbddlqTSvEwzCBfrM7vsenaHXcV5vDkBWLyxvlvqv/ID9V/xavj2byZ2WDOVt/t55e97RXmOFxm9tgQIxwDWrOGxsP5wr08Xb/Xo4u1evX878mfvDGPUsmxWHdxWaI5Ri6wKO0rzaI8AkDRjfbfV/8kP1P9xNBBHL961KGf7FyKj1/Z+XbacklSWueoRjgGsCd0DI3r/dm8sBL93q1d/uPdIY+PTJ0dk2ax6cvM6Pb2tUM9sLdJndtr19NZCbrsMIOligfjK9zV869eaCMRS9pY/Uv7ebyj/iW8wem0ZEY4BrCqGYeh692CkLeJ2j96/3av3bvXo2gyzhCWpODdTz2wt1NPbivTM1kId3Fak/RsLGKMGYMmM9d/RwJVIIB669Y7iA/F/Uv7eWuXv/boy1u1IXZFrGOEYwIo1Gh7XR/f6dNFsh4i2R4RmGJ8mSbuLc/XMtiI9bYbgZ7YWcmMNAMtirP+uBsyWiZkD8TeUv/dlAnEaIBwDWBF6Bkf1+zu9sRXhi7d69B93+2acGJFhtehTm9dFVoS3FungtkJ9ekshF8sBWFaRQPxDMxC/rbhAvPkzyn+ilkCchgjHANKKYRi61TMUF4Iv3u5VYIYZwpJUmJMRC8HRtogDmwroDwaQEuH+e7Ee4qGbv1J8IH42Eoj3vKyMwp2pKxJzIhwDSJmx8LguP+jXxds9eu9WpD/44q0edQ3M3Baxw56jZ7ZOboso4oYaAFIuEoh/qP4r5gqxMfEbrezNzyp/7zeUt/dlZRbuSmGVSBThGMCSGx4L65OHA/ro3iNdetCnS/f69NH9R/rDvT4Nj01vi7BZLTqwsWBSW0QkEJfm0xYBID2EB+5HAvHHXg3d+lV8IN5UrfwnvqG8PS8rs2h36orEYyEcA0ia0OBoJADf79NH9/t0+X6fLt3vUyA4oPAMI9MkqSDbpqe3mG0R2yIrwp/atE45mbRFAEgv4YEHEyvEN/8tLhBnbTqkgidqCcSrAOEYwIIYhqGbPUPTQvBH9/t079HwrI9bl52hAxsLtH9jgfZvivz5qU3rVF6aL6uVtggA6WkiEH9fQzd/OSUQV5lj115WZlFZ6opEUhGOAcxoZGxcnzzs10f3IyF48kf/SHjWx20tzNGBTQXat6FAB8wQfGDjOm0pzKY3GMCKEB54oP6OH0VaJm7+m2RM/JsXCcTfUP7ebxCIVynCcZJUV1fLZrPpxIkTOnHiRKrLARLWMzgaWwGOhN9IGO7omr0VIsNq0Z71+ZFV4CkfhTmZy/wVAMDihQcfqv+TH0VaJm78Mj4Qb6yMjV3LLHKkrEYsXGNjoxobGxUOz76oM5XFMIyZ3/2QkN7eXhUVFamnp0eFhYWpLgeYUXQ8WlwINi+Ou9M7eytEQbZNBzauiwu/BzYVyFGSr6wM7iAHYGWbCMTf19CNX0wJxAcjLRNPfINAvAosJK+xcgysEoZhqHtwVFeDA7raPahL0V5gMwT3Dc/+U/OWwmwd2LhO+zYWxPqCD2wq0NbCHFohAKwqY323NdDxz+r/5IfTWyY2HpxombCXp7BKpFJKw3FPT4+OHj2qN998M5VlACuCYRjqGhjRte7BSAAODupq94CuBQd1LRT5/NHw2KyPt1ktKi/N04GNBdq3cd3ExXEbC1SUSysEgNVrtPuK+jt+pIFPfqjhu+/G7cva8MxEy4R9T4oqRDpJaTgOBAIKBAKpLAFIG4Zh6EGfGX67B2IrwNe7J4LwXBfCRW0syNKu4jzt25AfWQnetE77NxRoz3paIQCsDYZhaOTBRQ10/Ej9n/xIo13/Ebc/e8t/Ul7515S/52sEYkyTcDj+67/+awWDwaS+uM/nS+rzAenMMAzd7xsxQ+9E4L0eXQnuHtDg6PQbYky1eV22dpfkaXdxrnYWR/7cXZKn3SW52mnPVV4W3VIA1h5jPKzhO/+u/k9+pIGOH2ms9+rETmuGcrZ/UfnlX1Ne+Z8po2BryupE+kv4XfTs2bPq6elRsq7fs1gsMgyDfkasGuPjhu71DcdWfK8GB3Ste1DXzFXga92DGprhbnBTbS3M0e6SXO0uztPOaPA1/9xpz+XmGABgMsaGNXjjF5EV4sC/aHzgfmyfJSNXubueV96erymv7AXZcopTWClWkoTDscPhUHl5uZqamlRUVDTrcc3NzWpvb5fL5VJJScmMx1y4cEFNTU165ZVXdPjw4YVXDSwzwzDUNxzWg/5h3ekdjvT6xgJwZBX4WvegRsJzh1+LRdpWmBO/8msG4d0ledphz1F2BuEXAGYzPtKnwWtvqv+TH2qg819ljPTG9lmz7cpzvKC88q8pd9fzsmbmpbBSrFQJh+OSkhI1NDTMGYyvXr2qjo4Ovf7663M+l9PplNPp1Kuvviqn05l4tUASDYyM6UHfiO73jehB/7Du943oft+wHvSN6EHfsB70Rz6Pbktk1ddqkbYX5Wp3Sa52FedpV2zlNxKCtxfl0vcLAAsUHuzSQOAnGuj4gQav+WSEJ0ZQ2vK3KK/8q8ov/5pytn9BFhsXGGNxEp5z/N5776m8vHzO2XCnTp3S6dOnF1TA//yf/1Pf+ta3FvSYdMKc4/QxPBaOBNspoTYafh88MsOvuT+Ri9umys20alNBpOd3V3EkAEdXgXcV52m7PUeZNsIvACzW2KObEyPXbr0dN3Ito6hc+Xu+przyl5S95VlZLPy7i7ktyZzjgwcPznvMbG0Uc+EeJJjNaHhcD/tHzIA7fSV3YnU3sr13aPYxZrPJslm1sSBLGwqytLEgWxsLsrU+P/LfE9uytCE/8md+Nhe7AcBSGQle1kDHjzTwyY80fO9C3L6s9Z9W3p6XIhMmSp/kmiUsmaS+0z/OWLZkT8DA0jAMQ8Nj4xMf4Un/PRbW8Ni4hibvHxvXcDgc+++h0ZkfMxwe1/DoxPaeodFYEA4OjC64TpvVog35k0KtGXIntsWH3nXZGfwDCwApYhiGRu6/p/6OH2rgkx9pNPjRpL0WZW/9I+XveUl55V/lLnVYNikPx8w5Ttz4uKHB0bAGRsMaHA1rcHR80n+bn49MfD71uGnBdFrYDc8QYiMf811otlSsFqk0L34ld8OkldzJK74bCrJkz8mU1UrYBYB0ZYyHNXT7Nxr45Ifq7/iRwo+uT+y0Zip3x5eUt+cl5TleVEb+5tQVijUrqeH44MGD+t//+3/rr/7qrxI6/q233lo1bRV3e4f0cNQWH1DHwpPCanyQHRgJa3BsPPL5tEA7Pj3cjoRTFlBnkmmzKCfDpuwM68SHzRr3+dT9WZOOycm0TTs+O8OqwuzM2IrvxoIsleRlyUbYBYAVLTJy7XxkBnHgxxoffBDbZ8nIU+7uI8rf85Jyd39Fthx76goFlORw/O1vf1t79kTuNDNfQH7rrbfU0NCg1tbWZJaQMvvcv5Ale/lGxmTZrMrLsik306rcTJvyMm3KzYx8PvHfNuVmmX9GA+mUEJuTaVW2zTYtpEaPm+kxWTYrq7MAgDmNjzzSwNWfaeCTH2rg6s9kjDyK7bPmlCiv7AXl7fmacnfVyJqRm8JKgXhJv7ro9ddf1/PPPy+3261vfOMbqq6ult1ulySFQiEFAgGdPXtWfr9fLS0t2r17d7JLSAmLRcrPmjmg5mXZlJthbs+yKWeWIBsXcLOmbp8IwTmZNlZTAQBpZ+zRTQ10/lQDgZ9o6MZb8SPXCrZNjFzb9nlGriFtJTzKbSH8fr/q6urU2dk57WInwzBkt9vV0tKyKm4AEh0NEgqF5pwBDQDAamMY4xq5/54GAj/WQOAnGnlwMW5/hn2PeUHdS8refIiRa0iZJRnlthCVlZXq6OjQmTNn5PP5YhfdORwO1dTU6G/+5m+W4mVTiokHAIC1YHx0QIPXz2uw86ca6Pypwv13Ju21KHvLZyItE+UvKrOkgvdHrDhLsnK8lnATEADAajfWd0sDgZ9qoPMnGrr+lozwUGyfJbNAubtqIrdt3v1l2fI2prBSYGYpXzleiLfeekvPPfdcqssAAACmSLvExUi7ROdPNHL/vbj9Get2Kc/xgnIdLyh325/IkpGdokqB5Et5OG5oaNCVK1dSXQYAAGva+OiAhm68pYHATzTQ+a8K99+etHdSu4TjT7lDHVa1hMNxb29v0l+8o6ODO+QBAJAiY323NND5rxoI/HiWdgmn8speVF4Z7RJYOxIOx3a7nZ8SAQBYwaK3a56tXcK2bmekd7jsBeVu/wLtEliTEg7HDodDgUBAtbW1kqSSkpJFvXAwGFRHR4cuXry4qOcBAACzGx8b1ND1aLvET6e3S2x+NhKIHS/QLgFogSvHTU1N+i//5b8ktYDS0tKkPh8AAGvdWN9t82YcP9bQjV/IGBuM7bNk5it3p1N5jhcj0yXyN6WwUiD9JByODx06pEOHDiW9gLKysqQ/JwAAa4lhGBp5cHHiZhz3/XH7J9ol/lQ5278ga0ZOiioF0h9zjheJOccAgFQYHxvU0I1fTLRL9N2atNei7M3Vsf7hzPVP0S6BNS0t5hy/9dZbam1tld/vV0NDg15++eXYvtdee02vvvqqdu/evVQvDwDAqjP26IYGrv5cg50/1uD1t2Zolzhstkt8hXYJ4DElPRxfvXpVdXV18vv9ii5K19TUxB1z6tQpnT59Ws8//zw3AAEAYBbG2LCGbr8TCcTX3tRo1x/i9tvW7TBnD79AuwSQJEkPx06nU5L0+uuv69ChQ3I4HGpubo47pqioSN/+9rf12muvyeFwsIIMAIBpNNShwWs/18DVNzV045cyxgYmdlqsyt5UrdyyryjP8YKy1n+adgkgyZIajl977TU5nU69/vrrCR3/7W9/W3/913+t7373u8ksAwCAFWN8tF9DN/9Ng1d/roFrP9dY6JO4/bb8Lcrd9bxydz+v3J2HZctZ3ChVAHNLajgOhUIJB+MorgcEAKwlhmFoNPiHWBgeuvW2FB6ZOMCaoZytn40FYlaHgeWV1HD8ON+8fMMDAFa78FBIQzfe0sC1n2vw6s8V7rsZtz9j3S7l7j4SWR3e8SVZs9alqFIASzatIlGBQCDVJQAAkFSGMa6RB+9r8OqbGrj6pobv/FYywrH9FluOcrZ/IRKGdz2vzOInWCwC0kRSw3FXV5euXbumXbt2JXT8P/3TP3ETEADAqhAeeKDB677IxXTXWjU+cD9uf2bxvsjq8K7nlbP987Jm5KaoUgBzSWo4rq+vV21trbxe77wB+fz58zp+/Lja29uTWQIAAMvCGB/T8N0LGrz2pgau/lwj99olTVxHY8ksUO6OLyl395eVu6tGmUW7U1YrgMQlNRw7nU61trbK4XDI5XLJ6XTq0KFD6urqUm9vrySpra1NHo9HXq9Xr7/+OmPcAAArxljfLQ1ea9Xg1Tc1eP28xodDcfuz1n/abJU4opytfySLLSs1hQJ4bEty+2iXy6XvfOc7s/ZPGYYhj8ej48ePJ/ullx23jwaA1csYG9bQnd9Eeoev/VyjDz+M22/NLlbuLqdydx1R7i6nMgq2pqhSAHNZSF5bknAsRS60c7lceu+99+IuuqutrZXb7V41vcaEYwBYXUZ7Ahq82qrBa29q8MYvZIz2T9prUfbmanPM2hFlbzoki9WWsloBJCYtwvFUPT09KioqWo6XWlaEYwBY2cJD3Rq6+UsN3vilhq77NNp9JW6/LW9T/E04ctenplAAj20heW3ZRrnNFox7e3sJlQCAZTM+OqCh27/W0PW3NHjjFxq5/54mX0gna4ZytvzRxE04Njwti8WasnoBLK+UzzmuqqrSlStX5j8QAIDHYIRHNXzvggavv6WhG7/U0N3fxt+RTpExazk7n4tMl9jxJVmzV99vOgEkJqnhODqRIlEdHR0KBoPJLAEAsMYZxrhGHn6goRu/0OD1X2jo1tsyRvvijrGt2xELwjk7vqiMgm0pqhZAullwOD569Ki+//3vq6mpSX/1V38Vt89ut3OHHwDAsjIMQ2M9HZEgfOMXGrz5S40PPow7xppTqpwdX1DujsjqcIZ9D+9XAGa04HDc3t4uwzDU1tY2LRw7HA4Fg0E5nU6VlJTM+TzBYFAdHR26ePHiQksAAKxxY/13YivDgzd+ofCj63H7LZn5ytn2+djKMH3DABK14HDs8/nk9XpVX18/bZ/D4dCZM2f08ssvJ/x8paWlCy0BALDGhIdCGrr5b5GpEtff0mjwo/gDrJnK3vIZs1XiOWVvruYGHAAey4LDcVlZmf7mb/5mxn01NTVyOBwLfj4AACYbHxvU8O3faDA2UcIvGeOTjrAoa8PTyt35nHJ2fEk52z4na2Z+yuoFsHos25zj1Yo5xwCweMb4mIbvtmnoZqRVYvjOv8sID8cdk1m8Vzlmz3DO9i/IlstvHgEkZknmHFdXV+vChQuLLg4AAMMwNNr1odkz/FZkosTIo7hjbPlblbvzS8oxWyUy1m1PUbUA1pKEw3F7e7uuXbumXbt2LWU9AIBVarQnoKEbkZ7hwZu/1PjA/bj91uzi2ESJnB1fUmbxE0yUALDsEg7HdrtdLpdLb7zxxlLWAwBYBQzD0Gj3ZQ3d+rWGbr2t4Vu/1tija3HHWDJylbP1c8rZGVkZztrwtCxWW4oqBoCIBV2Q19LSIsMwdPbs2aWqBwCwAhnjYxp58HsN3XpHQ7fe1tDt32h88EH8QdYMZW9+Vrk7vqicHc8pZ/NnZMnITk3BADCLhMNxKBSS2+2WFOk/drvdeu6555asMABA+hofG9Lw3Qsavv2Ohm6+o6E7/z7tLnQWW7ayNz+rnG2fU/a2zylny3+SNWtdiioGgMQkPK3iO9/5TtwIt9dee02dnZ1qbm5e01MamFYBYC0YH+7R0O1/19DtdzR06x0N32uTwiNxx1iyCpWz9bPK2fbZSCDeWMXKMIC0sJC8tqhRboFAQK+++qqef/55fetb33rcp1nRCMcAVqNw/z0zCEd6hkcefjBlzrBky9usnG2fjawKb/2sstY/Rc8wgLS0JKPcZuJwOPTzn/9czc3NOnLkiNxut5555pkFPcfFixcX/BgAQPIYhqGx3k6zXzgShsdCn0w7LqOoPLYqnLP1s8qw72GaBIBVJ2k3Aenp6ZHL5ZLFYpHb7U54FXXv3r26cuVKMkpICVaOAaw0hjGu0a7/MINwpE0i3H97ylEWZa1/MrYqnLPtc8oo2JqSegFgsZZt5XiyoqIivf766/L7/aqtrdWrr76ql19+ed7HBYPBZJUAAJiBER7V8H1/pFf49jsauvUbjQ93xx9kzVT2pqpYEM7e+sey5RSnpmAASKElu330q6++qs7OTlVWVs56jN/vl8/nUzgcXooSFqypqUlSZDLHhQsX1NDQIKfTOedjWDkGkG7GR/s1fOd3kVXh27/W8J3fyhgbjDvGkpmv7C3/aSIMb35W1sy8FFUMAEsrJSvHk506dUrNzc2SJJ/PN+txhmGkTb9aQ0OD6urqYmHY5/OppqZG3d3dstvtqS0OAOYQHgpq6NavNXw70iYxfN8vjY/FHWPNKVXO1j+O9Atv+3zkhhu2zBRVDADpK6nh+K233lJDQ4MCgYAMw1BlZaUOHTo06/EXLlzQxYsXk1nCYwsGg2ppaYmFY4fDIUlqa2ubd/UYAJaLER7RyMMPNHz33djHaPf06zZs63bEVoVztn1OmSX7ZbFYU1AxAKwsSQnHvb29On78uLxerwzDkN1ul9vt1vHjx+d9bGlpaTJKWLSWlpa4z/1+vyTNGe4BYClFpkhcNUPwBQ3ffVcj99+TER6edmxm8b5YEM7e9jllFu5KQcUAsPItOhx/5zvf0WuvvSYp8g95bW2tmpubVVRUlNDji4sf/4KPUCgkl8sVC+Oz8fl8am1tVXl5uUKhkCTp5MmTcz63x+OR2+2mpQLAsgkPhTRyr01DsVXhC9NvwSzJml2s7M3PKntzdexPW256LDQAwEqXcDi+evWqdu/eHfv84sWLOn78uPx+vwzDkMPhkMfj0eHDhxdUwNQV20S4XC4FAgFVV1fL5/PN2fbg9Xp19uzZuNeJ9hO3trZOO76pqUmtra2qqamZN0ADwOMywqMa6fpQw3cmt0dcnn6gNVNZG55WzqQwzHxhAFg6CU+rKC0tVVdXl3p7e+VyudTU1KToQ8+cOZOyO+RVVVXp0KFD8ng80/aFQiGVlZWps7Nz2gpwVVWVGhoaVF9fP+PjElmRlphWAWB+hmFo7NH16e0RUyZISFJGkWPSivCzytrwtKwZOSmoGgBWjyWZVmEYho4dOyafz6dQKCTDMOR0OuXxeFRWVrboopfCuXPn5HA4ZmyNOHbsmDwez4zh2G63y+PxyGKxqLS0lBVkAAsyPtyr4Xttky6au6DwwL1px1mziiIheIsZhjdVy5a3IQUVAwCiFtRzPPmCu+bmZn3jG99YqrqSoqWlRSUlJTPuczgc8vv9CoVCstvtamhokMvlik2piB7T2tpKOAYwK2N8TCMPP4ytCA/ffVejwUuSpvxSzpqhrPVPxfUKZxY/wQQJAEgzCwrHhmGooaFB3/3ud5eqnqRqa2vT0aNHZ9wXDcGBQEBSpNe4rq4uLhwHg8E5b2ICYO0Ze3RTw3d/p+G7FzR0912N3PPLGBuYdlzGul2RELzFbI/YeFDWjNwUVAwAWIgFrxwnckvodBFdFZ5LIBBQbW2tTp48GXdhX7R9ZL6eYwCr1/hwj4bvX4xvj+i/Pe04S1ahsjcdiq0I52x+Vrb8TSmoGACwWAmHY4vFsqKC8XyioTkYDEqK3NXvzJkzsf0XLlxQe3t73EryXHp7e+M+z87OVnZ2dnKKBbCkDMNQuO+WRh68r+EHFzXy4H2NPPi9xnoC0w+22JS1/snYBXPZm6u5wQYApJnh4WEND0/MhJ+a0+aScDhezDzilcButy+qt3jHjh1xn//t3/6t/u7v/m6RVQFINmN8TKPdlzVy/6KGH/zeDMLva3yoa8bjbet2KHtztTlKzWyPyMxf5qoBAAtx+vRp/ff//t8f67EJh+NPPvnksV4gXUVvBjLbBXsLdePGjbjRIKwaA6k3PtKnkYcfaOTBRQ2bIXj04Ycz3mFOFpsyS/Yre+MzytrwdORj/ae5uQYArECnTp3Sf/tv/y32eW9v77SFzNkk5fbRkAoLC5lzDKSIYRgKD9zVyP2LsZXg4QfvayzUoWlTIyRZMguUteHTyt4wEYQzSyuYJwwAq8Ri2ltXdTh2OByxaRRTRXuNE+0pBpAejPGwRkNXJgXh32v44fsaH7g/4/G2/K3K2viMGYYjQTijyEGPMABgRqs6HFdWVsbaJ6aKhmZGtQHpa3x0wGyLeH/i4+EHM95ZTharMoufUJa5GhwJwp+WLW/j8hcOAFixVnU4rqmpmXUUW0dHR9zoNgCpFe6/F+sLjn6Mhq5Ixvi0Yy0Zecpa/5S5IhwJwpmln5I1My8FlQMAVpNVHY6PHj0ql8ulQCAwrX3C6/UywxhIgfGxQY0GL2s0eEkjXR9qxJwYEe6/M+Px1ryNcb3BWRueVqZ9jyxW2zJXDgBYC1Z8OA6FQrH+4amit7l2uVxqaWmJbfd6vXI4HKqtrV2uMoE1Jzz4MBKAzSA82h35c6z3mma6SE6yKLN4T6wtIvqRkb95uUsHAKxhKzIcnzlzRhcuXFAgEIh91NTUyG6369ixY3Ght7a2Vna7XS6XS+Xl5bEe5NbW1hRVD6wehjGusd5rsfA7ErwUWxWebW6wJFmzi5VZsl9ZpRUTYXj9k7JmFSxj9QAATGcxDGOmJRwkqLe3V0VFRerp6WGUG1at8bFBjXVfiYRfcwV4NHhZo90fywgPzfq4jHW7lFmyX5kl+5RZvC8SiEv2yZq7QRaLZRm/AgDAWraQvLYiV47TUXV1tWw2m06cOKETJ06kuhzgsYQHu2Lhd3I7xFhPp2ZuhZBky1Kmfa+yYiE4+ucT3EkOAJBSjY2NamxsVDgcTvgxrBwvEivHWGkirRDX41aAR7ojf44PPpj1cdZsu7kKvF+ZxftiYTijsIyL4wAAaW3ZVo4vXrwoKXIjDYIhkF6MsWGNhj6OhN/J7RDdH888J9hkW7dTWWYLRGaJ2QpRvE/WvI20QgAAVr3HCsenTp3SmTNn4rY1NDTof/2v/5WUogDMzxgPK9x/W2O91yIXxZl/Rj6uaqz36owzgiVJ1kxlFu+NWwHOLDmgTPteLooDAKxpCw7HR44ckc/n09RuDI/Ho7a2Nvl8PlaRgSQwxsc01ndLY73XzbBrBt9H12N/anxszuewZhXFrQBHw3BGUZksVi45AABgqgW9O546dUqtra1yOBxqaGiI3Xo5EAjo3LlzOn/+vF577TVWkIEEGOFRjfXdNMPvtYkAHAu/NyRjngsIrBnKWLdTGYW7Ih+T/juz+AnZ8jbRCgEAwAIkfEFeZ2enysvLdebMGX3rW9+a8Rifz6cjR44oEAho165dSS00XXFBHmZjhEfM8Du51eF6rAUi3Hdz9raHKGvmRPA1w29m4S5lFO5WRuEu2fK3cDEcAADzWEheSzgcv/rqqwoEAvr5z38+53Eul0u9vb367ne/m3jFKxjheO0yxoY11ndjUs/v1UmrwNcU7rulWcefmSy2bGUU7lTGut1mAI6u/EbD72ZZLNbl+YIAAFillmRaxfnz5+NuwTwbt9utI0eOJPq0QFoxxsMaHwoqPHhf4YEHCg8+0Lj5Z/TzcP/dSPjtv6P5w2/OpLA7qf3B/DzS9kD4BQAgXSQcjoPBoJ555pmEjwXSgWGMa3w4pPBAJOyOTw65ccH3vsKDDzU++FDzBd7JLBl5M4bfzMLdyli3k/FnAACsMAmH44XcK6S4uPixigHmYxiGjJFeM8xOBN240DvwQOHB+xofeKjw4IP5L2qbgTWnVLbc9bLlbZQ1b4NsueZH3gbZ8jZGwvC6nbLmrif8AgCwiiQcjktKShJ+Urvd/ji1YBUzDEMaH5MRHp7+MTYkIzwS+e+RnikhN7q6G1nZDQ/cl8ZHF/z61my7rGbYteWuly13o2x5G2SNBt7YnxtlzS1lzBkAAGtUwglgIatjCzn24sWLCbdrpLPq6mrZbDadOHFCJ06cSHU5kqKBdFTG2KDGxwZkjEUD6ZAUDaNxIXWG4Gp+KDxihtip+0YmBdz47ZoSgBfSrjAfS2bBRNDN2yBr7sbYSq8td72seRsnBd4NstiykvbaAABgZWhsbFRjY6PC4cR/i7wky2MLacGoq6vTlStXlqKMZXXhwoWEplUYxngkSI4Nmh8DGh8bNLcNxLaPjw5M3xZ7zKCM0QEZ4UGNjw1F/numY8YG5h8VlioWqyy2HFls2RMfGVmyZBVGVnXN0GvL2xhZ8TVXem25G2TN2yBrRm6qvwIAAJDmoouW0WkViVjQBXmJWsjK8Wq5eO9B66sazA5PCqbR1dqhiTA7NhhZtU0JiywZE2FUtmxZbFlx2yY+sib9d44sGdHHZE05Lmfi+IypzzH5dbKn76dtAQAApKGEE0p3d7f+63/9ryoqKlJpaemcx/r9fp06dWrOY0KhkAKBgEKhUKIlpLX+Ky2y5izwwixblqy2XFkycmXJzIsE1YzI59aMyZ/nyZqRa36eN3FMZvwxkcflxvZPfqxsWVw4BgAAMI+EbwJitVoTDleGYSR0bPS4hfSBpJvoMv31X/4PFdlLzECaYwbXqUE1GnrNz7mzGQAAwJJbkpuASNLBgwflcDgWNLliNsFgUB0dHbp48eKinysdFB08wR3yAAAAVrgFTatoa2tLegHztWgAAAAAyyXh+9YmeoXfQnHDEAAAAKSLhMPx+fPnl6SAlpaWJXleAAAAYKESDscHDx5ckgKW6nkBAACAhUo4HAMAAACrXcIX5PX29ioQCCgQCMQmTXR0dMhisejYsWN6+eWXl7JOAAAAYMklHI53796tnp4eSVJtba1ee+01WiIAAACwqiz4Hr5tbW2EYgAAAKxKC+o5drvdBONZVFdXq6KiQo2NjakuBQAAAJIaGxtVUVGh6urqhB+T8O2jS0pK5Pf7tXv37setb1VayO0IAQAAsPyW5PbRFotl1mDc3NysQCAw62NLS0v1rW99K9GXAgAAAFIi4XA81wLz0aNHFQwG5ff75XK51NnZKbvdLrfbrcOHD6ukpCQpxQIAAABLKeFwPFfALSoqUlFRkcrKylRWVqZDhw6pubmZ8W4AAABYURK+IM9isSR0XGVlpSTJ6XQ+XkUAAABAiizJHfIcDkfCF6cdOXJkKUoAAAAAFmxJwnGiq8yS5ryQDwAAAFhOCYfjYDC4JAUs1fMCAAAAC7WgaRWvvPKKysrK5j02GAzq1KlT8x7n9/sVCoUSLQEAAABYUgu6CUhPT09CT2oYRkKtFdHjwuFwQs+bjrgJCAAAQHpbkpuASFJZWVlsGkUytLe36+rVq0l7PgAAAGAxFnSHPL/fn/TV0dLS0qQ+HwAAAPC4Er4gzzCMJWkbKC4uTvpzAgAAAI8j4XDc0tKyJAV4PJ4leV4AAABgoRIOx4cPH16SApbqeZdbdXW1Kioq1NjYmOpSAAAAIKmxsVEVFRWqrq5O+DEJT6vAzJhWAQAAkN6WZFpFb2+vAoGAAoGAgsGgOjo61NHRIYvFomPHjunll19edOEAAABAKiUcjnfv3h2bc1xbW6vXXntNBw8eXLLCAAAAgOW2oDnHktTW1kYoBgAAwKqU8AV5kuR2uwnGAAAAWLUWFI5ra2uXqg4AAAAg5RZ0h7zdu3fPuK+5uVmBQGDWx5aWlupb3/rWgosDAAAAllPC4XiuiW9Hjx5VMBiU3++Xy+VSZ2en7Ha73G63Dh8+rJKSkqQUCwAAACylhMPxXAG3qKhIRUVFKisrU1lZmQ4dOqTm5mbGuwEAAGBFSbjn2GKxJHRcZWWlJMnpdD5eRQAAAECKLOiCvEQ5HI6E7xZ35MiRpSgBAAAAWLAlCceJrjJLmvNCPgAAAGA5JRyOg8HgkhSwVM8LAAAALNSCplW88sorKisrm/fYYDCoU6dOzXuc3+9XKBRKtAQAAABgSVmMuWa0TVJSUqKenp6EntQwjIRaK6LHhcPhhJ43HfX29qqoqEg9PT0J91kDAABg+SwkryW8cixJZWVlsWkUydDe3q6rV68m7fkAAACAxVjQHfL8fn/SV0dLS0uT+nwAAADA40r4gjzDMJakbaC4uDjpz5kK1dXVqqioUGNjY6pLAQAAgKTGxkZVVFSouro64cck3HN8/vx5HT58+LGLW+7nXS70HAMAAKS3heS1hMMxZkY4BgAASG8LyWtLchMQAAAAYCUiHAMAAAAmwjEAAABgIhwDAAAAJsIxAAAAYCIcAwAAACbCMQAAAGAiHAMAAAAmwjEAAABgIhwDAAAAJsIxAAAAYCIcAwAAACbCMQAAAGAiHAMAAAAmwjEAAABgIhwDAAAAJsIxAAAAYCIcAwAAACbCMQAAAGAiHAMAAAAmwnGSVFdXq6KiQo2NjakuBQAAAJIaGxtVUVGh6urqhB9jMQzDWMKaVr3e3l4VFRWpp6dHhYWFqS4HAAAAUywkr7FyDAAAAJgIxwAAAICJcAwAAACYCMcAAACAiXAMAAAAmAjHAAAAgIlwDAAAAJgIxwAAAICJcAwAAACYCMcAAACAiXAMAAAAmAjHAAAAgIlwDAAAAJgIxwAAAICJcAwAAACYCMcAAACAiXAMAAAAmAjHAAAAgIlwDAAAAJgIxwAAAICJcAwAAACYCMcAAACAiXAMAAAAmAjHAAAAgIlwDAAAAJgIxwAAAICJcAwAAACYCMdJUl1drYqKCjU2Nqa6FAAAAEhqbGxURUWFqqurE36MxTAMYwlrWvV6e3tVVFSknp4eFRYWprocAAAATLGQvMbKMQAAAGAiHAMAAAAmwjEAAABgIhwDAAAAJsIxAAAAYCIcAwAAACbCMQAAAGAiHAMAAAAmwjEAAABgIhwDAAAAJsIxAAAAYCIcAwAAACbCMQAAAGAiHAMAAAAmwjEAAABgIhwDAAAAJsIxAAAAYCIcAwAAACbCMQAAAGAiHAMAAAAmwjEAAABgIhwDAAAAJsIxAAAAYCIcAwAAACbCMQAAAGAiHAMAAAAmwjEAAABgIhwDAAAAJsIxAAAAYCIcAwAAACbCMQAAAGAiHAMAAAAmwjEAAABgIhwDAAAAJsIxAAAAYCIcAwAAACbCMQAAAGAiHAMAAAAmwnGSVFdXq6KiQo2NjakuBQAAAJIaGxtVUVGh6urqhB9jMQzDWMKaVr3e3l4VFRWpp6dHhYWFqS4HAAAAUywkr7FyDAAAAJgIxwAAAICJcAwAAACYCMcAAACAiXAMAAAAmAjHAAAAgIlwDAAAAJgIxwAAAICJcAwAAACYCMcAAACAiXAMAAAAmAjHAAAAgIlwDAAAAJgIxwAAAICJcAwAAACYCMcAAACAiXAMAAAAmAjHAAAAgIlwDAAAAJgIxwAAAICJcAwAAACYCMcAAACAiXAMAAAAmAjHAAAAgIlwDAAAAJgIxwAAAICJcAwAAACYCMcAAACAiXAMAAAAmAjHAAAAgIlwDAAAAJgIxwAAAICJcAwAAACYCMcAAACAiXAMAAAAmAjHAAAAgIlwDAAAAJgIxwAAAICJcAwAAACYCMcAAACAiXAMAAAAmAjHAAAAgIlwDAAAAJgIxwAAAICJcAwAAACYCMcAAACAiXAMAAAAmAjHAAAAgIlwDAAAAJgIxwAAAICJcAwAAACYCMcAAACAiXAMAAAAmAjHAAAAgIlwDAAAAJgIxwAAAIApI9UFpJMzZ85Ikjo6OhQIBOTxeORwOFJcFQAAAJYL4djkcrl06tQp2e12SZLX61V5ebk6OjoIyAAAAGsEbRUmn8+nYDAY+7y2tlZ2u10ejyeFVQEAAGA5EY4lhUIhBQIBBQKBuO0lJSUKhUKpKQoAAADLbkW3VYRCIblcLtntdrnd7lmP8/l8am1tVXl5eSzsnjx5Mrbfbreru7t72uMCgYCqqqqSXjcAAADS04oMxy6XS4FAQNXV1fL5fHI6nbMe6/V6dfbsWbW0tMS2+Xw+1dTUqLW1ddbHNTU1yeFwqL6+Pqm1AwAAIH1ZDMMwUl3EYlRVVenQoUMz9gaHQiGVlZWps7MzdqHd5Mc1NDTMGH6jj2tvb5/3Yrze3l4VFRWpp6dHhYWFi/paAAAAkHwLyWuruuf43Llzcjgc04KxJB07dmzWi+2OHz+u8+fPJzSlYnh4OO5PpM7w8LD+7u/+jnORYpyH9MG5SA+ch/TAeUgf6X4uVvXKcU1NjSTN2D7h9XpVV1en7u7uuPDscrl07NgxVVZWJvT6N2/e1I4dO3Tjxg1t37798b4IJAWr+OmB85A+OBfpgfOQHjgP6SMV54KVY1NbW9usq7/R7ZMnVHi9XtXU1MQF46ampqUtEgAAAGljVYfjUCg0Y0vFZNFw7PP5dOHCBZWUlMjv98vv98vr9S5DlQAAAEgXK3JaRTJEQ3MwGFQoFFJdXZ1CoVDsFtJRc020kKRoV8qdO3fitmdnZys7Ozt5BWNevb29cX8iNTgP6YNzkR44D+mB85A+luNcDA8Px/U0P3r0SNJEbpvLmg3Hk8025zgRo6OjkqRnn302mSVhEXbs2JHqEiDOQzrhXKQHzkN64Dykj1Sci0ePHqmoqGjOY9ZsOI7eDKSkpGRRz7N79251dHQoMzNTFosltp2VYwAAgNSYunJsGIZGR0e1devWeR+7ZsNxslit1oRGvgEAACD9reoL8hwOR9w0ismCwWDsGAAAAEBa5eG4srIy1j4xVTQ0JzrPGAAAAKvfqg7HNTU1s64cd3R0yOl0LnNFAAAASGeruuf46NGjcrlcCgQC09onvF6v3G73rI/1+XxqbW1VeXl5bPX55MmTCb+23+/X6dOn5Xa7ad1YhMWehyiv1zttLJ/b7Z53DjYiknUefD6fWlpaZLfbY3PI5/o+RLxQKCSXy7Wov7dkncu1LBnnIZnPs5Yl4++wqalJHR0d8vv9CgaDcjqdnI8FWux5CIVCampqUldXV+zzYDCoU6dOpeY3/MYK53A4jNra2ln3t7S0TNvf0tJiOJ3OBT2mtbV1zsfM9ByS5v3o6OhI+DnXmmScB8MwjJMnTxqtra1x2zo6OozKykqju7t7sWWuesk6D263e9pj3G73nN+/iDh58qRRW1truN1uw+FwGPX19Y/1PMk6l2tVss5Dsp5nLUvmuZj8Ptzd3W04nU7Dbrfz/pCAZJyH7u5u4+TJk9P+vqM5aur793KwGEYC05DTzJkzZ3ThwgUFAgH5/X5JktPplN1u17Fjx1RbWxt3/EJWSkKhkMrKytTZ2TltVbGqqkoNDQ2qr6+ft0aXy6VQKKTy8vIZ90d/OuKn05kl6zz4/X6dPXt2xr/n6Op+S0tLsspedZJ5HqqqqtTR0THtNynFxcVqbm6e9n2LmVVVVenQoUPyeDwLelyyziUiHvc8LNXzrGWP+3fo9XrlcDimrUyGQiEVFxfL6XTOeyMwTHjc89DU1CSXy6X29vYZ3x8cDofa29uTWeq8VmRbxUJ/Beh0OhPuLz537pwcDseMv24/duyYPB5Pwm8gc/0P4nK5CMZzSNZ58Pl8qq6unnFfZWVl7IcrzCxZ5+H06dOqrKycscXo6NGj8ng8hOMllsx/24DV4MKFCzP+u2O321VfX6+mpqZY+xeWTvR9YbYBCqmwqi/IexwtLS2z3hjE4XDI7/cndAJnC2RS5KekhoaGxy1xTUjWeZBm/yFlpl50xEvWefD5fLP+XVdVVcnn8y2mTCQgmd9TwGrQ1NSkmpqaGfdVVVVJktra2pazpDXJ6XSqu7t7xt7iUCikQ4cOLXtNhOMp2traZn0Tj26fbQLGZLOtgkUfSyibWzLPg8/nU11d3bQ3frfbLZfLtehaV7NknYe5Qlc0sLGKv7SSdS6B1WKu0JWsu+ji8Z05c0aSUvI+TTieIpFfoSzmDcTtdvOrywQk6zw4HA653W55vV6VlZXFViijKwaM85tbss5DIr+WJJgtraX+tw1YaVpbW2ftKe7o6JDEvRBSJRQKyePxqKWlJSWLiSuy5zhVom8s0bvrLRTtFMmx0PNw8uRJORwO1dXVqaamRg6HQ62trazeL9JCzsOhQ4fmvSEPUmex/7YBq01TUxMLWcssOs6to6NDwWAwpe/TrBwvo5aWFn4KTRG73a6TJ0/K6XQqEAiopqaGX+MvI5fLNWtf8YULFyQRzACkB5fLFfutI5ZP9H3a4/GooaFBDQ0N8nq9KamFcLwAi+lBampqIhgnyULPQ3SsntvtVmtrqzwejwKBABeCLdJCzoPT6VR9ff203jGv1xu7IIbevtShvxKI8Pv9ampqUmtrK1MqUsjpdKqlpUV1dXVqampa9tcnHC8Tj8cz61WxWDrRb6rJF0jW19fH5u3OdKEelobH41F5ebmamppiH5WVlbFAxhsRgFSrq6vT+fPnabtLA3a7XbW1tWpoaFj292l6jqdwOByz9kBGf+270G+a6M1K+GZLXLLOg9vtjl1YMfX529vbYxfpMWN3Zsn+fpiphy+6ep+KcT1ryVL82wasJjU1NfJ4PPyWN41UV1fL6/Uu+/s0K8dTVFZWznvh0EK/caJv/rzxJC4Z52G+q/PtdrtOnTrFBWFzWIrvh6na29tVWVnJyvESW45zCaxUDQ0NcrlcTDBKgeLiYtXV1c24L/q+sNzv04TjKWpqamY9CR0dHY/1jbPctz1cDZJxHux2e0K/iuGHltktxffDVOfOnWOKyzJYjnMJrERnzpxRXV3dtO+BQCDAdSlLLBQKzfk+Hf3N73K/TxOOpzh69KiCweCMbyJer3fam3goFJr3mycQCLAqtkDJOg8Oh2PO89Pa2koomEOyzoPX61VxcfGM20tKShiZlESznYOFnkssTiLvDVgec50Lr9erysrKGd8HaIdMrpnOQ/RW3S0tLTM+xufzxXqPl5WBaVpaWoza2tpp25xO57RjnU6nIcnweDyzPp/D4TDsdnvS61ztknEeuru7jcrKSqO1tXXa9vr6+mnbMV0yzoPH45l2fHt7u+FwOIyOjo7kF72KORyOaedjsrn+TVrIucTcFnMeFvI8mN/jnov29nbD6XQaHo8n7sPtdhtut9uorKxc6tJXlcc9Dx0dHUZ9fb3R3d0dt93j8RiSjPb29qUod05ckDeD2tpa2e12uVwulZeXx5b8Z7qTTk1Njdra2ua8mGiuXj/MLhnnwW63q729XS6Xa9pPpm63mxX9BCTjPNTX1ysUCsXG6gWDwdhFkZyD+Z05c0YXLlxQIBCIfdTU1Mhut+vYsWNxqypz/Zu0kHOJ6ZJ1HhbyPJhZMs7F4cOH51xVZtV4fsk4Dw6HQx6PJzbqM/oeUVJSou7u7pS8R1gMwzCW/VUBAACANETPMQAAAGAiHAMAAAAmwjEAAABgIhwDAAAAJsIxAAAAYCIcAwAAACbCMQAAAGAiHAMAAAAmwjEAAABgIhwDAAAAJsIxAAAAYCIcAwAAACbCMQAAAGAiHAMAAAAmwjEAAABgIhwDAAAAJsIxAAAAYCIcAwAAAKaMVBcAAFh+dXV1CgQCCoVCCgaD6u7uVigU0unTp2Pb/H6/nE6nXC6XHA5HqksGgGVhMQzDSHURAIDl5ff7FQgEVFdXJ0nq6OiQ1+vVyZMn445raGjQuXPn1NzcrNra2lSUCgDLinAMAGtYVVWV/H6/Tp48KbfbPeMxdXV18nq9am1tldPpXOYKAWB50XMMAGtYSUmJpMgK8WyioXmuYwBgtSAcAwDm7Cl2OByqra1VIBBQU1PTMlYFAMuPcAwAmFd1dbUkqbW1NcWVAMDSIhwDAOYVXVkOBAIprgQAlhbhGAAAADARjgEA87pw4YKkuXuTAWA1IBwDAObl9/slSTU1NSmuBACWFuEYAKBQKDTrvkAgIJ/PJ4fDofr6+uUrCgBSgHAMANDp06dn3edyuSQxqQLA2kA4BgCopqZmxhnGdXV18vv9am1tpd8YwJqQkeoCAACp53Q6FQgEYnfBs9vtCoVCqq6uVktLS4qrA4DlQzgGAEiKTKLweDypLgMAUoq2CgAAAMBEOAYAAABMhGMAAADARDgGAAAATIRjAFjDAoGApIk74AHAWkc4BoA1qLy8XMXFxbFwfPjwYZWXl8vn86W4MgBILYthGEaqiwAAAADSASvHAAAAgIlwDAAAAJgIxwAAAICJcAwAAACYCMcAAACAiXAMAAAAmAjHAAAAgIlwDAAAAJj+/1dRUPaBBNBiAAAAAElFTkSuQmCC", + "image/png": 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jdNSPH4Z2J0LP81r+pWNZlqrVqnK5XMdtZTIZ5fN5pdPpA+tsyuWyZmdndfPmzaZ/jPW/EgEAADpVKpUktV/RYvdsciumaTbNMN+7d0+WZalQKCgWizV9Sy/tZCXDMBpZyXGcpuD7fFvdvg/HcVQoFBq3el11p23U/yBop1wuyzTNPWOLRCJ9XfpuaAP08vJyyx+gJM3MzHT81063bNtuWdAei8X2fK0CAACwn+e/yd7v+f24rts4r34RXjabVaVSaZSM1C/Kq0smk42stDvT1NvqJLzvfo1lWYrH4023TlfUKBaLTbPerX4mxWKxqb36HwH10pR+GdoAnc/n2/6lYZpm46sEP5XLZTmO07J4PplMshQNAADoSn02uFX5Qb0s9XnVarXpfr3sIZHYWRfedd2mtkzTVDabbazcUZdKpRo7Ck5PTzc9Z5pmI0u1GtN+76Ob1+xWLpeb3m+ragLHcRqVBrsvcuynoQ3QpVKp7V9lvfzl1In6bkJHcTkVAABwdNSDbieTeYuLi3tmiHO5nKampvZM2u3e3np2dnbPLO/ukgnXdfcEcdM0ZVmWXNdtmWuy2azm5+ebxt8qVz3//OLi4p4LAF3X7WpCs57h2q324bquMpmMksmkYrHYnvfVL0N7EWF9PcL9uK7b0dqDnXIcp/GLrS8JYxiGKpXKkV2nEACAo+q3qxsHn9RHfoynvtZy/boo27YVjUb3rQOOx+MyTVO2bTfVK7daECEWizXavn37ti5fvrznG/BEIqGFhYVGLnl+Tend57WbjKwvnVcfU30C0bKsxvrQ9fdarVaVTCYb7yOVSjVWyIhEIh2XVti23fgDYWpqak+uchynqUbaNM1GzutkEQg/DW2A3k/9B777a47Dqgfy3Vtvuq6ryclJraysHBii19fXm+6fOXNGZ86c8XWcAE6AUEga/cNnx8AQGRkZ0Qsvvax3f/ZIR23pxBdeelkjIyM9v76+rG23q3JFo9GOJv2eD42tgmk3dcAH7fgXjUZbXlNWf3y/53pRXwu6nd31z60ufOzW5uamNjc3G/d357R2jmWADlK5XN7zH0X9a5DZ2dk9X63sduHChab73/72t/Wd73zH72ECOO5Cp6QXf3/QowB6Eg6H9Rdv/OWuremPhuO8nX29nKIePIftm/PdNdJ1qVSq52WE5+fn9d3vfrfr1x3LAF3/6iOo5Uxafd0xOTmpVCp1YGnJgwcPNDo62rjP7DMA4CQKh8PHNqgG6TDfrtfLLrLZrAqFwoHbch8Vnucpl8s1SmnrFxfWN1A5zPVpc3NzeuONNxr319fX90x2tnIsA3SQDrpwsVQq7fv1w+joaFOABoCe1GrSk9/9j/T3IpRxAMeY4ziNsohMJiPXdXsKv3Nzc5qfn29coDgsDMNQOp1uWcd92BXQei2lHdoA/fyi4bvV/zrrZO3Ebvvs5MJFAAhcbVvyfrFzfP5PpZBfW3kDOGoOqg3uVL0+G4c3tMvYRaPRtsui1EOsnytw1Ns7KCAP0190AAAA6N7QBuhYLNY2zFYqlUCWMpmZmWm5QLj0LLT7PesNAACAo2VoA/T09LSq1WrLEF0oFPZsq+15Xsc74bQTj8dlGEZj/cXn5fN5JZPJobuiFQAAAN0Z2gBtGEbLHW8KhYJM09yzDmIikVAsFmu5LeTzPM/b9wrXfD4v27abykdyuVxjZxwAAAAcb0N7EaH0bEa40517SqVSyxrlhYUF3b59W67rNm6xWEyGYWhmZqYpjFuWpWw2q9nZWUUiEVWrVZmmObC92AEAANBfoVqtVhv0IE6C9fV1hcNhra2tsYwdgK794z/+o7J/PafU/3BOnz9/Vtp+Kv323+08ef5PpVOHX4XjH3/7gbL/y2Ol/qd5ff7znz90ewAwbDrNa0M9Aw0AJ1YoJJ398rNjAEDfEKABYBiFTkkjXxz0KADgRBraiwgBAACAQWAGGgCGUa0mba3tHL8QpowDAPqIGWgAGEa1bWn1zs6ttj3o0QDAiUKABgAAALpAgAYAAAC6QIAGAAAAukCABgAAALpAgAYAAAC6QIAGAAAAusA60AAwjEIh6XPms2MAQN8QoAFgGIVOSS/9waBHAQAnEiUcAAAAQBeYgQaAYVSrSZ9+sHP8mbOUcQBAHzEDDQDDqLYtVcs7N7byBoC+IkADAAAAXSBAAwAAAF0gQAMAAABdIEADAAAAXSBAAwAAAF0gQAMAAABdYB1oABhGoZD00sVnxwCAviFAA8AwCp2SPndx0KMAgBOJEg4AAACgC8xAA8AwqtWkpxs7x6dHKOMAgD5iBhoAhlFtW3p8e+fGVt4A0FcEaAAAAKALBGgAAACgC9RAA4BP1tbWtLGxEUjbDx8+1JOtJ4G0DQDoDgEaAHywtramH/3ge9r66FEg7X/w4Ybcu7/UJ9+ISDobSB8AgM4QoAHABxsbG9r66JGufvVFnR8b8b39X7nb+uGvN/Xp1pbvbQMAukOABgAfnR8b0efP+z9D/PDxh763CQDoDQEaAIZRKCSNXHh2DADoGwI0AAyj0Cnp7MSgRwEAJ9LQB2jHcVQsFjUxMSHP8yRJ6XS6p7Y8z5Nt2zIMQ5lMpuPXLSwsKBqNyrKsnvoFAADA8BjqAF0oFLS0tKR8Pt94zHEcxWIxFYvFjtuxbVuu6+ry5ctyHKerIFwP3c+PAQACV6tJ25s7x6fOUMYBAH00tBupeJ6n2dlZLS4uNj1uWZaq1apyuVzHbWUyGeXzeaXTaRmG0dU4uukHAHxT25Ye/WznxlbeANBXQxugl5eXZZpmy8A7MzOjbDYb+Bi6na0GAADA8BvaAJ3P5xWJRFo+Z5qmyuVyoyY6KOVyWdFoNNA+AAAAcLQMbYAulUoyTbPlc/XHXdcNrP9cLtfzxYoAAAAYXkMboD3PO7BeOagA7bpu29lvAAAAHG9DG6D3Uw/W1Wo1kPYLhYLi8XggbQMAAOBoG+pl7AbhsOF5fX296f6ZM2d05syZww4LAAAAXdrc3NTm5mbj/u6c1s6xnIGuXzzod5mF53mqVqtta687ceHCBYXD4cZtfn7exxECODFCIWnkCzs31oAGgJ7Mz8835bILFy509DpmoLvgx4WDDx480OjoaOM+s88AehI6JZ39yqBHAQBDbW5uTm+88Ubj/vr6ekchemgDtGmabS8SrNc+H2ameDe/lqwbHR1tCtAAAAAYjF5LaYc2QEej0bbrPNeDtZ9rNLuuq6WlpT0btNTHMD8/r6WlJUUikb5s4gLghKvVpNrWznHoBco4AKCPhjZAx2IxZTKZls9VKhXfdwiMx+MtLx70PE9jY2Oam5tjZQ4A/VPbln77f+0cn/9TKXR6sOMBgBNkaC8inJ6eVrVabVnGUSgUlEqlmh7zPE+O4/RreAAAADimhjZAG4ahxcVF2bbd9HihUJBpmntmgxOJhGKxmHK53L7t1lfa6FQ9wAe15jQAAACOlqEt4ZB2yioMw5Bt25qYmGjUIxeLxT3nxmIxlUolTU1N7XluYWFBt2/fluu6jVssFpNhGJqZmWlZmlEulzU/P98I0LZtq1gsKhaLKZlM+vtGAQAAcGQMdYCWJMuyOqp3TqfTbZeg62Vpumg0qnw+3/XrAAAAMNyGtoQDAAAAGAQCNAAAANCFoS/hAIATKRSSXvz9Z8cAgL4hQAPAMAqdkkb/cNCjAIATiRIOAAAAoAvMQAPAMKrVdnYjlHZmoynjAIC+YQYaAIZRbVv67b/budWDNACgLwjQAAAAQBcI0AAAAEAXCNAAAABAFwjQAAAAQBcI0AAAAEAXCNAAAABAF1gHGgCGUSgkffb8s2MAQN8QoAFgGIVOSeF/PuhRAMCJRAkHAAAA0IW+zkDfv39fkhSJRDQ6OtrPrgEAAABf+BqgX3/9db3zzjttny8Wi5Ikz/NUqVT0pS99Sf/m3/wbP4cAACfD9tOdbbwl6fyfSqdOD3Y8AHCC+BqgHcfZ9/nZ2dmm+++//76+//3vE6IBAAAwNHytga7Val2df+nSJVUqFT+HAAAAAATK1wAd6mEpJdd1/RwCAAAAEChfA3S1Wu3ovPX1dd25c0df//rX/eweAAAACFxPNdDT09NyXVeu62ptba3pudOnO7+QxTTNxoWFAAAAwDDoKUAvLy83jh3HUSaT0c2bNxUKhXTlypWO2ojFYkomkwqHw70MAQAAABiIQ6/CYVmWLMtSKpXSrVu39N577/kxLgDAfkIh6Uzk2TEAoG98q4HOZrNdr8IBAOhR6JRk/Dc7txCbygJAP/n6qWvbtp/NAQAAAEeOrwF690YpAAAAwHEz8O/9vvzlLw96CAAwfLafSv/l/9i5bT8d9GgA4ETxdSvvXjx+/HjQQwCA4VTbHvQIAOBE8j1Ar6+vK5fLqVgsHrixSqt1pAEAAICjzNcAvba2pvHxcXme1/Fretn+GwAAABgU3y8inJqa0srKira3tw+8VatVGYbh5xAAAACAQPk6A+26rkqlUsfnG4ahsbExP4cAAAAABMrXGeipqamuX5PP5/0cAgAAABAoX2ege5lNvnTpkp9DAICTISTp94xnxwCAvvE1QEciEd2/f18XL17s+DW3bt3SK6+80nOfjuOoWCxqYmKicfFiOp3uqS3P82TbtgzDUCaTaXteLpdTpVJRuVxWtVqVZVn7ng8Avgudlsb+aNCjAIATydcA/eabb+q1117TwsKCRkdHO3pNKpXS3//93/fUX6FQ0NLSUlMZiOM4isViKhaLHbdj27Zc19Xly5flOI4sy9r33FQqpWQyKWkndCcSCY2NjenevXtcFAkAAHDM+b4O9I0bNzQ3NydJisViMk1TkUik5bmVSuXAtaLb8TxPs7OzunfvXtPjlmXJtm3lcrlGyD3I87PHS0tLbc8rFAqamZmRaZqNxwzDUD6f19jYmBKJRFfBHQAAAMPH1wB96tSppnWdFxYW/Gy+yfLyskzTbDnjOzMzo2w223GA7tTt27cVj8f3PG4YhpLJpHK5nDzPYxYaQPC2n0qPf7ZzfO6r0qnTgx0PAJwgvgZo0zTluq4sy+ooRFYqFd25c6envvL5fNuZbdM0VS6XfQ+zuVxO5XK55Szz5OSkJKlUKu1bAgIAvtneGvQIAOBE8jVAG4ahQqGgq1evdvyac+fO9dRXqVTS9PR0y+fqJRau6yoajfbUfiv7LdNXv4CxXagHAADA8eBrgJ6ammqqD+7E+Ph4T311Mrvsd4Der765UqlIkq/9AQAA4OjxNUDfuHGj69d0s3Nhp+rButcLFHvRzUWLAAAAGF6+r8JxEtm2LdM0O1oLen19ven+mTNndObMmaCGBgAAgDY2Nze1ubnZuL87p7Xj61be3VpbW9Ply5d9b7ef9cjlclm5XE7FYrGjCxYvXLigcDjcuM3Pzwc+RgAAAOw1Pz/flMsuXLjQ0esGOgNdKpUaYXdYJRIJ3bx5s+Pa7wcPHjRtMsPsM4CehCS9cPbZMQCga3Nzc3rjjTca99fX1zsK0b4G6G5nk8vlcs/LzNWXzGulXvvc7QWN3YrFYspms11dODg6OtrxLo0A0FbotBSZHPQoAGCo9VpK62uArlQqHc8oG4ahcDjcc1/RaLRtX/VgHeSKGKlUSrZts+YzAADACeP7RiqXL1/WO++80/actbU1FYtFOY6jt956SxcvXuypr1gs1vaivUqlEmiwXVhYUCKR2NOH67qNjWQAHC1ra2va2NgIrP2HDx/qydaTwNoHABwdvgboSCSiRCKx7znhcFjxeFzxeFxzc3Oam5vrqaRhenpatm3Ldd09pRqFQmFPuPY8z5ddAguFgqLRaMt2yuUy60ADR9Da2pp+9IPvaeujR4H18cGHG3Lv/lKffCMi6Wxg/TTUnkqPb+8cn7u8U9IBAOgLXwN0NpvtamOU+fl5zc3N9bQShWEYWlxclG3byufzjccLhYJM01Q8Hm86P5FIyHEcZbPZfddr9jyv7frR5XJZ2WxWiURCuVyu6TWStLS0pJWVla7fC4BgbWxsaOujR7r61Rd1fmwkkD5+5W7rh7/e1Kdbfdpeuybp6SfPjrmQEAD6xtcA3cuugrVaref+4vG4DMOQbduamJhoBNlWOwbGYjGVSqWW23EvLCzo9u3bjRIM13UVi8VkGIZmZmYaYfzKlSvyPE+O47QcT9AXLQI4nPNjI/r8+WBmhx8+/jCQdgEAR8/AN1JZW1s71Osty+qoLCOdTiudTrd9rhOrq6tdjQ0Ahs0nm0/08OHDwNofGRk51AXkAHAUDDxAt1uKDgDQX+sfbuoXP/+5thf/SiMvBlPq8sJLL+sv3vhLQjSAoeZrgO50+0NpJzjPz89T9gAAR8THm1t6IfSJvvknn9XFL57zvf3frm7o3Z890sbGBgEawFDzNUAbhqFQqPMrWQzD0L179/wcAgDgkF42XgysVlz6OKB2AaB/fF8H2nXdPStg7BaJRDQ5Oanp6Wl25QOAXoQkfWbk2TEAoG98n4HO5XJ69dVX/WwWALBb6LR07o8HPQoAOJFO+dnY1NQUNc0AAAA41nydgb5x44afzQEAAABHTuDL2K2vr8t1XVWrVZmmqYsXLwbdJQAcf7WnUvV3O59GJtnKGwD6yNcSjufduXNHly9f1tjYmCYnJxWLxTQxMaGvfOUr+ulPfxpUtwBwMtQkfbqxc+t9Q1cAQA8CCdCvvfaaotGoVlZWFA6HNT4+rvHxcYXDYd29e1fxeFx/9md/FkTXAAAAQKB8D9Bzc3MqlUoqFova3t5WtVrV3bt3dffuXVWrVa2uruqdd95RqVTSt771Lb+7BwAAAALla4B+//33VSwWVSqVdOXKlZbnhMNhJZPJRqi+c+eOn0MAAAAAAuVrgM7lcrp582bH5y8vL2t+ft7PIQAAAACB8jVA12o1hcPhjs83DEOrq6t+DgEAAAAIlK/L2I2NjXX9GjZeAYAehCSd/uyzYwBA3/gaoD3P6/o1zEADQA9Cp6WXvzroUQDAieR7CcdvfvObjs+/c+dOT7PWAAAAwKD4OgOdTqdlWZbK5bLOnj2777n37t3TlStXtLKy4ucQAAAAgED5OgNtmqbm5+d18eJFvf3227pz547W19cbz6+vr+vWrVuamZnRl770JV2/fp2tvQGgF/WtvKsrO8cAgL7xdQZakuLxuKrVql577TVlMpmW59RqNWUyGc3OzvrdPQCcDDVJWx88O+ZCQgDom0C28k4mk6pWq3r11VcVDodVq9Uat2vXrqlSqejNN98MomsAAAAgUL7PQNcZhqFsNqtsNitJWltb62qNaAAAAOAoCmQGuhXCMwAAAI6Djmeg33rrLa2trbV93jCMlttyv//++8pms5qampJlWVw0CAAAgKHWcYCem5tTOp3W4uKiQqGQarWaDMOQZVmKxWKanp5u+bpLly4pk8nIdV1dv35dq6urymQyBGkAAAAMpY5LOMLhsLLZrFZWVlSr1WTbtqrVqpaXlzU7O7tviUY4HNalS5d048YNzc/PK5lM6u/+7u98eQMAcGKdemHnBgDoq64uIlxbW9Nbb72llZUVXbp0qacOTdPUe++9p+npaUUiEf3Lf/kve2oHAE60U6el8/9q0KMAgBOpq4sIk8mk0ul0z+H5eblcTq+++uqh2wEAAAD6qeMAffPmTY2Pj+vKlSu+dGwYhqanp/Xuu+/60h4AAADQDx0H6Fwup9dee83XzuPxeGOdaABAF2pPpdU7Oze28gaAvuq4BrpcLvu+csb4+Lhc1/W1TQA4EWqSnnjPjtnKGwD6pm8bqQAAAADHQccBulqtBjKAoNoFAAAAgtBxgB4fH9edO3d87fz999/X+Pi4r20CAAAAQeo4QFuW5fsFf7lcTrFYzNc2AQAAgCB1HKCnp6eVy+X0m9/8xpeO7927p1wup5mZGV/aAwAAAPqh41U4otGoXnnlFSUSCf37f//vD93x9PS0LMvSH/3RHx2qHcdxVCwWNTExIc/zJEnpdLqntjzPk23bMgxDmUymL30CQM9CXAcOAIPQ1Vbe2WxWX/rSl/THf/zHunnzps6ePdt1h+vr63rllVf0/vvvq1KpdP365xUKBS0tLSmfzzcecxxHsVhMxWKx43Zs25brurp8+bIcx5FlWYH3CQCHcuq09E/+u0GPAgBOpK6mL0zT1PLyskqlksbHx/W3f/u3XXX24x//WOPj43r//fe1vLx8qHWlPc/T7OysFhcXmx63LEvValW5XK7jtjKZjPL5vNLptAzD6EufAAAAGE5df/8Xj8d148YNVatVJZNJnTt3Tq+//rreffdd3blzR/fv39f6+rru37+vO3fu6N1339Xrr7+uc+fOKZVKaXV1VTdu3NC1a9cONfDl5WWZptky8M7MzASyw+Eg+gQAAMDR0lUJR10ymdTU1JQSiUTjYsCDZl9rtZpM01Q+n9elS5d6Guzz8vm8IpFIy+dM01S5XJbnefvOKA9DnwDQUm1bWvu/d47D/zX10ADQRz1/4kajUVUqFd24cUOXLl1SrVZre7t06ZKy2azu3r3rS3iWpFKpJNM0Wz5Xf9zvbcIH0ScAtFSrSZvVnVutNujRAMCJ0tMM9POSyaSSyaTW1tZUKpXkum5jFtY0TU1NTSkcDvsx1iadzPS6rqtoNDrUfQIAAOBoOXSArguHw7py5YquXLniV5M9q4fcfm4T3mmf6+vrTffPnDmjM2fOBDUsAAAAtLG5uanNzc3G/d05rR2K5vrswoULCofDjdv8/PyghwQAAHAizc/PN+WyCxcudPQ632agj5L65ibtLvgbZJ8PHjzQ6Oho4z6zzwAAAIMxNzenN954o3F/fX29oxB9LAP0UTY6OtoUoAEAADAYvZbSDm0Jh2mabVe8qNcht1sxY5j6BAAAwNEytDPQ0Wi0UTaxWz3k+r0axiD6BICWTp2W/n///aBHAQAn0tDOQMdisbazwZVKRZZlHYs+AQAAcLQMbYCenp5WtVptGWgLhYJSqVTTY57nyXGcvvYJAACA42doA7RhGFpcXJRt202PFwoFmaapeDze9HgikVAsFjtwy3HP89qu5dxtnwAQmNq2tPbLnVtte9CjAYATZWhroCUpHo/LMAzZtq2JiYlGfXKxWNxzbiwWU6lU0tTU1J7nFhYWdPv2bbmu27jFYjEZhqGZmZmmYNxNnwAQmFpN+uS3O8dn/1AKDXY4AHCSDHWAliTLsjqqPU6n00qn022fC6JPAAAAHD9DW8IBAAAADAIBGgAAAOjCQAP02tqavv71rw9yCAAAAEBXBhqg6xfsAQAAAMOi44sIX3/99bbLu/XqsOsyAwAAAP3WcYBeWlrS2tqaarWaLx2HQiHVajWFQqy9BABdC52Szv/ps2MAQN90/Klb3yhkdXVV29vbbW/ZbFbJZFKVSkWrq6stb++9956uXbumQqHg+6w2AJwIoZB06vTOjYkIAOirjmegI5GIUqmUwuFw23Pu37+vSqWiGzdu7NtWfR3l1157jfWUAQAAMFQ6noHOZDItd/F7Xjab1fXr1zvu/MaNGwdurQ0AaKG2La3/eufGVt4A0Fcdz0BfunTpwHMikUjXA/CrphoATpRaTfr4/905/tyX2cobAPrI1ytPelmSjhpoAAAADJOBB2jWgQYAAMAw8TVAX7p0SX/7t3/b8fm3bt2ihAMAAABDpeMa6E5cv35dX/rSlyRJf/7nf77vubdu3VIqlVKxWPRzCAAAAECgfA3Q0s7KGl/72teUyWR07do1Xb58WYZhSJI8z5PrulpaWlK5XFY+n9fFixf9HgIAAAAQGN8DtGVZKpVKSiQSymQye3YarNVqMgxD7733nq5cueJ39wAAAECgfA/QkhSNRlWpVLSwsCDHcRoXCpqmqVgspjfffDOIbgHg5Aidks7//58dAwD6JpAAXZdOp5VOp4PsAgBOplBICv3eoEcBACdSYNMWt27d0tzcnL7+9a/r3XffbXrurbfe0v3794PqGgAAAAiM7zPQ9+/fVyKRULlcbixRF4vFms6Zm5vT/Py8vva1r+mVV17xewgAcPzVtqUP7+4cf+5LlHEAQB/5/olrWZZWV1d148YNraysaHV1dc854XBY169f13vvvcdMNAD0olaTNv5h58Z6+gDQV77OQL/11luyLEs3btzo6Pzr16/r9ddf1zvvvOPnMAAMobW1NW1sbATS9sOHD/Vk60kgbQMATh5fA7TneR2H5zp2IgSwtramH/3ge9r66FEg7X/w4Ybcu7/UJ9+ISDobSB8AgJPD1wC9e83noF4D4HjZ2NjQ1kePdPWrL+r82Ijv7f/K3dYPf72pT7e2fG8bAHDyBLqMXSfqa0QDwPmxEX3+vP8zxA8ff+h7mwCAk8vXiwgfP36s3/zmNx2f/+6772p8fNzPIQAAAACB8jVAJ5NJxePxjkL0zZs3NTs7q7feesvPIQAAAACB8jVAW5alV155RaZp6u2339atW7e0vr6ux48fa319Xevr67p165ZmZmb0ta99TdevX9fFixf9HAIAnAyhU9LLX925sQY0APSV7zXQmUxG0s4SdfVjSVpYWGgc12o1ZbNZzc7O+t09AJwMoZB0+rODHgUAnEiBTFtkMhndvXtXV69e1fj4uGq1WuN27do1VSoVwjMAAACGUmCrcJimqXw+37i/tramcDgcVHcAcLLUtqUP7+0cf26cMg4A6CNfA/T6+rpGR0dbPhcOh3Xr1i1FIhEZhqFIJNL2XADAAWo1aePBzvFLFyWW1AeAvvF1ymJsbEx//dd/3fb5Wq2m27dvNy4ePH36tF5++WU/hwAAAAAEytcAXavVlE6n9Y1vfEPr6+t7nr9y5YpmZ2d148YNVatVXb16Vaurq34OAQAAAAiU7+tAv/nmm3rvvfdkmqb+7u/+bt/zFxcXqYsGAADAUPG9hOP69et677339PTpU1mWpbfffrvt+YZhaGpqys8hAAAAAIEKZBUOy7J0//59xeNxXb9+XY7jKJ/P65/9s3+251zTNA/Vl+M4KhaLmpiYkOd5kqR0Oh1oO4VCQcVisemxTCYjwzC67hcAAADDJbBl7MLhsIrFohYWFvTWW29pYmJC+Xxe3/zmN5vOC4V6v3S8UChoaWmpabk8x3EUi8X2BFy/2rFtW7FYTNlstvGY67q6cuWKbt68SYgGAAA45nwt4ajP3D4vnU6rVCrp7Nmzisfj+ta3vuVbX7Ozs1pcXGx63LIsVatV5XI539spl8uN555nmqYWFxfZHAZA/4ROSecu79xYAxoA+srXT91qtdry8Wg0qvv37+vq1au6ceOGvvKVr+g3v/mNpJ2VO3qxvLws0zRbzvjOzMw0zRD71Y7jOLp8+XLLdqLRaCNgA0DgQiHpMy/t3A7xTR4AoHu+lnA4jqMPPvhAZ8+e3fNcOBxWPp9XLpfTa6+9pomJCd24caPnEo58Pq9IJNLyOdM0VS6X5XnegSUV3baTzWYVj8f3nOu67qHruQHguPtk84kePnwYaB8jIyOs8AQgUL4G6NXVVSUSCd24cUMXL15seU4ymZRlWYrFYkomkzp16pTeeeedrvsqlUqanp5u+Vw9yLquq2g06ls78Xhctm0rkUhocXGxKZxnMhnZtt31+wCAntS2pY/+087xS38wFGUc6x9u6hc//7m2F/9KIy+OBNbPCy+9rL944y8J0QAC42uAnp2d1erqqpLJpMbGxhSJRFqGY9M0ValUlEql9tQed6qT2eVOAnQ37Zim2QjK9ZVFLMtSLpdTLBbbUxsNAIGp1aSP7u8cj1wYiq28P97c0guhT/TNP/msLn7xXCB9/HZ1Q+/+7JE2NjYI0AAC42uA7rTu+PnzX3vtNT+HIEmNQNyuJvsw7aTTaZmmqUQioVgsJtM0VSwWOy7f2L1D45kzZ3TmzJlDjRMAhsnLxov6/Pm9pX7++TjAtgEcJ5ubm9rc3Gzcb7WTdisD/85vYmJi0EPommEYSqfTsixLrusqFot1fAHhhQsXFA6HG7f5+fmARwsAAIBW5ufnm3LZhQsXOnrdwAP05OSk723Wl9Nrd3HgYdqxbVue5ymTyahYLCqbzcp1XU1OTspxnAPbfPDggdbW1hq3ubm5Q40RAAAAvZmbm2vKZQ8ePOjodb6WcHQ67V1XqVQOXWbRT/U1oZ9fheP5iyITiYTu3bu3b0316OioRkdHgx4qAAAADtBrKW3XAXp6elo/+clPlMvl9Od//udNzxmGcaidBbthmqZc1235XD2Ud1KX3E07mUxGlUqlZRsrKysaHx+X4zgtl7kDAADA8dB1gF5ZWVGtVlOpVNoToE3TVLValWVZB5ZPVKtVVSoV3blzp9shSNrZuKTVzoeSGoH4oBU4umnnoNU6DMPQ3Nxc2zAODLO1tTVtbGwE1v7Dhw/1ZOtJYO0DAOCnrgO04zgqFApKJpN7njNNUwsLC7p69WrH7Z0719tSRrFYTJlMpuVzlUql4yXlOm3HMIy2Qft5bKaC42ZtbU0/+sH3tPXRo8D6+ODDDbl3f6lPvhGRFOTqDMdI6JQUiT47BgD0TdcBenx8XG+++WbL5+rLunXbXi+mp6dl23bLHQALhcKeUOx5nkql0p5g3U07pmnKcZy24bxYLCqfz/f0foCjamNjQ1sfPdLVr76o82PBbH7xK3dbP/z1pj7d2gqk/WMpFJJe4HoKABgEXy8ibBes91MqlXrqyzAMLS4uyrbtptBaKBRkmuaeOuREIiHHcZTNZptmz7tpJ5/P68qVK8pkMk0h2vM82bYt27YP3JQFGFbnx0YCW7v34eMPA2kXAIAg+Bqge3Hr1i298sorPb02Ho/LMAzZtq2JiYlGiUWxWNxzbiwWU6lU0tTUVM/tGIahlZWVPWFb2rnAkPAMoG9q29LG/7NzPPJPKeMAgD4aeIBOpVL6+7//+55fb1lWR/XO6XRa6XT60O1IalszDQB9U6tJH/7uouUXvzgUW3kDwHHRcYDudo3nTgzbOtAAAABAxwG6n2s8AwAAAEdVxwG6vuFI/aK6w26Tfdh1oAEAAIBB6GoGOpfL6dVXX/V1AL2uAw0AAAAMQseXbU9NTbVcweKwel0HGgAAABiEjmegb9y44UuH9+/fb2yLffHixZ7XgQYAAAAGoe/L2K2ursp1XVWrVZXLZdm2rYsXL/Z7GAAw3EKnpLE/enYMAOibvgfoS5cu6dKlS437MzMzWlpa6vcwAGC4hULS7xmDHgUAnEgDnbZ499135bruIIcAAAAAdCWQGegf//jHymazcl23sS12O9lsNoghAMDxVtuWPv7HneMXP08ZBwD0ke8B+vXXX2+EYtM0NT4+Ltd1ZZqmJMnzPLmuq2g0qrfffltXr171ewgAcPzVatIHf79z/NnfZytvAOgjXwP0+++/r6WlJeXzeV27dq3x+FtvvaXr1683nfuTn/yE8g0AAAAMHV+/87t+/bpu3rzZFJ4ltdwC/Nq1a7p06ZLeffddP4cAAAAABMrXAD02Nta0wkZdu5nmK1eu6Pbt234OAQAAAAiU7wG6lampKd26dcvPrgAAAICB8DVA12q1lo/H43FlMpmWzx20SgcAAABwlPgaoC9fvtyYab5165a+//3vS5LGx8dVqVT013/9103n37t3j628AQAAMFR8XYXj2rVreuutt+R5nl599VWtra3JNE1dvXpV169f1/T0tIrFouLxuDzP0/z8vJLJpJ9DAICTIXRKMv7Fs2MAQN/4vg709evX9ZOf/ETT09OqVquyLEvSThnH7OysFhcXVSwWVavVZBiG5ubm/B4CABx/oZB05tygRwEAJ1IgOxFeu3Ztz1J20s6ug4lEQoVCQRMTE0omkxodHQ1iCAAAAEAgAgnQ+7EsqzErDQDoUW1b+uS/7Bx/9p9QxgEAfdT3AA0A8EGtJq3/euf4zHm28gaAPhr4lMXrr78+6CEAAAAAHRt4gF5eXh70EAAAAICOBVLCcf/+fTmOc+AmKZVKhY1UAAAAMFR8D9AzMzMqFAptdyXcLRSicA8AAADDw9cA/dZbb6lYLOrNN9/U5cuXJUmGYbQ81/M8VSoV1oEGAADAUPE1QDuOo3v37ikcDnf8mlwu5+cQAAAAgED5GqBN0+wqPEtSKpXycwgAcDKETknh/+rZMQCgb3wN0BMTE12/5s033/RzCABwMoRCOxuoAAD6ztdpi04vHAQAAACGla8BOpVKdX1R4Je//GU/hwAAJ0OttrOV9yf/ZecYANA3vgbo8fFxTU9P6/XXX9d/+A//oaPXPH782M8hAMDJUNuW1n61c6ttD3o0AHCi+L4O9MTEhMLhsKLRqKSdCwvbLWXnuq7W1tb8HgIAAAAQGF8D9L179zQ1NaXV1dXGY5VKZd/XsJEKAAAAhomvJRy2bWtyclIrKyva3t4+8FatVtvOTgMAAABHka8z0K7rqlQqdXy+YRgaGxs7VJ+O46hYLGpiYkKe50mS0ul04O24rivbtiVJkUhEhmEok8l03S8AAACGi68BempqquvX5PP5nvsrFApaWlpqasNxHMViMRWLxcDaKRQKmp+fVz6fl2makna2JrdtmxANAABwzPlawtHLbPKlS5d66svzPM3OzmpxcbHpccuyVK1WO94ivNt2yuWyZmdndfPmzUZ4lqTZ2VkVCoWe3gsAAACGh68BOhKJ6P79+1295tatWz31tby83HaFj5mZGWWz2UDasW1bc3Nze86PxWJsSw6gf0IhafQPd25cjA0AfeVrgH7zzTd1/fp1ra+vd/yaXkNnPp9XJBJp+ZxpmiqXy41aZr/aKZfLchxHyWRyz7nJZLKn2msA6EnolPTi7+/cQr5+lAMADuD7p+6NGzc0Pz+vubk53bp1S/fv39f6+nrL2/vvv69qtdpTP6VSqamE4nn1x13X9bWdbDa777rWAAAAOP58vYjw1KlTTes6Lyws+Nl8E8/zDgyyrus2NnTxox3HcRqhuv7eDMNQpVJpWdYBAIGp1aQnv5uA+L0IZRwA0Ee+BmjTNOW6rizL6ihMVioV3blzx88hSFKj715nt9u1Uw/SCwsLTeUarus21r8+6H3vLm85c+aMzpw5c6hxAjiBatuS94ud4/N/KoVOD3Y8ADCENjc3tbm52bjfaRmyrwHaMAwVCgVdvXq149ecO3fOzyEErlwu71mqzjRNWZal2dnZA5flu3DhQtP9b3/72/rOd77j9zABAABwgPn5eX33u9/t+nW+rwPdrp64nfHxcT+HIEmNi/7aXRx42HZavcfJyUmlUqkDS0IePHig0dHRxn1mnwEAAAZjbm5Ob7zxRuP++vr6nsnOVnwN0Ddu3Oj6Nd3sXHgUHHTBYalUkmVZbV8/OjraFKABAAAwGL2W0g7t2kf1eutW6jXLncyGd9NOJytwdLLyBwAAAIaXrwH6Jz/5iU6fPq23337bz2Zbikajbdd5rofYg1bg6LadaDR6YEDuZTtzAAAADA9fA/TS0pJqtZoqlYqfzbYUi8XahtlKpbJvGUWv7czMzKhcLrc8t95GtzXgAAAAGC6+BmjTNLW6uqqlpSU/m21penpa1Wq1ZfgtFAp7djj0PE+O4xyqnXg83lhpZLd8Pq9kMsla0AD6IxSSzn5558Ya0ADQV74GaM/zFA6Hu3rNzMxMT30ZhqHFxUXZtt30eKFQkGmaisfjTY8nEgnFYjHlcrlDtZPP52XbdlPZRy6Xk+u6e5a3A4DAhE5JI1/cubGVNwD0la+rcFy/fl0zMzNdzUC3K4noRH1G2LZtTUxMNEJtsVjcc24sFlOpVGpZo9xNO5ZlKZvNanZ2VpFIRNVqVaZp9qVsBQAAAIPn+0YquVxOr7/+uiYmJmRZlkzTbLts27179w69W6BlWR3VO6fT6abdA3ttp9tzASAQtZq0tbZz/EKYMg4A6CNfA/SXv/zlxvHuUgkAgI9q29LqnZ1jtvIGgL7yNUDXajW5rqtoNKorV64ceH6lUtH9+/f9HAIAAAAQqEBKOF599dWOX3Pu3Dk/hwAAAAAEyvdl7LrdSGRsbMzPIQAAAACB8nUGenl5uevX3L17188hAAAAAIHyNUC3sr6+Ltd1G8u9Xbx4MeguAQAAgMAEtvr+nTt3dPnyZY2NjWlyclKxWEwTExP6yle+op/+9KdBdQsAAAAEKpAA/dprrykajWplZUXhcFjj4+MaHx9XOBzW3bt3FY/H9Wd/9mdBdA0AJ0MoJH3O3LmxBjQA9JXvAXpubk6lUknFYlHb29uqVqu6e/eu7t69q2q1qtXVVb3zzjsqlUr61re+5Xf3AHAyhE5JL/3Bzo2tvAGgr3z91H3//fdVLBZVKpXargMdDoeVTCYbofrOnTt+DgEAAAAIlK8BOpfL6ebNmx2fv7y8rPn5eT+HAAAnQ60mba3v3Gq1QY8GAE4UXwN0rVZTOBzu+HzDMLS6uurnEADgZKhtS9Xyzq22PejRAMCJ4muA7mVTFNM0/RwCAAAAEChfA7TneV2/hhloAAAADBPfSzh+85vfdHz+nTt32MobAAAAQ8XXnQjT6bQsy1K5XNbZs2f3PffevXu6cuWKVlZW/BwCAAAAEChfZ6BN09T8/LwuXryot99+W3fu3NH6+nrj+fX1dd26dUszMzP60pe+pOvXr7O1NwAAAIaKrzPQkhSPx1WtVvXaa68pk8m0PKdWqymTyWh2dtbv7gEAAIBABbJ9VTKZVLVa1auvvqpwOKxarda4Xbt2TZVKRW+++WYQXQPAyRAKSS9d3LmxlTcA9JXvM9B1hmEom80qm81KktbW1rpaIxoAsI/QKelzFwc9CgA4kQIL0LsRnoHgrK2taWNjI5C2Hz58qCdbTwJpGwCAYdRxgL5165ZeeeWVIMcCoAdra2v60Q++p62PHgXS/gcfbsi9+0t98o2IpP1X10Ef1WrS09/90XR6hDIOAOijjgN0LBbT06dPgxwLgB5sbGxo66NHuvrVF3V+bMT39n/lbuuHv97Up1tbvreNQ6htS49v7xyf/1MpdHqw4wGAE6TjAB0Oh/XTn/5U3/zmN4McD4AenR8b0efP+z9D/PDxh763CQDAMOuqBjoej8uyLBmGoUgk0lVHtVpNkhRq8TXjO++801VbAAC088nmEz18+DCw9kdGRriuBzjhugrQ165dUyaT0fj4eE+d3bt3T4lEQu+//75qtZpM01Qul+upLQAAdlv/cFO/+PnPtb34Vxp50f+SJkl64aWX9Rdv/CUhGjjBOg7Qnufpxz/+sUZHR3vqaG5uTgsLC42Z6Ewmw1rQAABffby5pRdCn+ibf/JZXfziOd/b/+3qht792SNtbGwQoIETrOMAHY/HewrPt27dUiqVkuu6qtVqisfjWlxc5IMHABCYl40XA7kmYMfHAbULYFh0HKCXl5e7avj+/ftKpVJyHKdRrpHNZnXlypWuBwkAAAAcFYFs5f39739fExMTKhaLqtVqWlhY0N27dwnPAOCXUEgaubBzYw1oAOgrX3ci3F2uYVmWstlszxcdAgDaCJ2Szk4MehQAcCL5EqDX19c1OzurQqFAuQYAAACOtUOXcHz/+9/X2NhYIzzbtk25BgAErVaTnn6yc/vd6kYAgP7oeQaacg0AGKDatvToZzvHbOUNAH3VdYDeXa5hGIby+TwzzgAAADgRugrQ3//+92XbtiQ1yjXm5+cPNYDXX3/9UFt5O46jYrGoiYkJeZ4nSUqn031tZ2FhQdFoVJZldd0vAAAAhkvHAfry5csql8u+lmusra0pl8v1HKALhYKWlpaUz+cbjzmOo1gspmKx2Jd2PM+TbdtNrwUAAMDx1fFFhCsrKzIMQ4VCQe+9996hw3O9FKRXnudpdnZWi4uLTY9blqVqtapcLteXdjrtBwAAAMdDVyUcV65c0b/9t/9WS0tLh+54dXVVjuMo1OMGAMvLyzJNU4Zh7HluZmZG2WxWyWQy0HYcx6FsAwAA4ITpOECHQqGut/M+SKFQ0MzMTE+vzefzikQiLZ8zTVPlclme57UMxn61Uy6Xe6q3BgAAwPDquIQjHA773nk8Hletx/VLS6WSTNNs+Vz9cdd1A2snl8sRngEMTigkjXxh58ZW3gDQVx0H6KAukuvmYr/ndTK73EmA7qUd13XbzloDQF+ETklnv7JzCx16TywAQBc6/tQNap3nINqtB+JqtRpIO4VCQfF4/FBtAwAAYDj1vBPhSXXY8Ly+vt50/8yZMzpz5sxhhwXgpKnVpNrWznHoBco4AKAHm5ub2tzcbNzfndPaOZbf+9U3QjlsmcXudjzPU7VabVsz3YkLFy4oHA43bofdiAbACVXbln77f+3catuDHg0ADKX5+fmmXHbhwoWOXscMdBf8uHDwwYMHGh0dbdxn9hkAAGAw5ubm9MYbbzTur6+vdxSihzZAm6bZ9iLBes1yJzPFnbZTLpcVjUZ7HO0zo6OjTQEaAAAAg9FrKe3QBuhoNNoosditHog7CbydtlPf7jubzTadU3/t/Py8lpaWFIlE9pwDAACA42NoA3QsFlMmk2n5XKVS6XiHwE7bicfjLS8e9DxPY2NjmpubY2UOAACAE2BoLyKcnp5WtVptWX5RKBSUSqWaHvM8T47jHLodAAAAnGxDG6ANw9Di4qJs2256vFAoyDTNPbPBiURCsVhMuVzuUO3sVg/eh11zGgAAAMNhaEs4pJ2yCsMwZNu2JiYmGvXIrXY3jMViKpVKmpqaOlQ7deVyWfPz840Abdu2isWiYrGYksnk4d8cAOwnFJJe/P1nxwCAvhnqAC1JlmV1VO+cTqf3XYKu03bqotFoYNubA8CBQqek0T8c9CgA4EQa2hIOAAAAYBCGfgYaAE6kWu3ZDoShU5RxAEAfEaCBgK2trWljYyOw9h8+fKgnW08Cax9HVG1b+u2/2zk+/6dS6PRgxwMAJwgBGgjQ2tqafvSD72nro0eB9fHBhxty7/5Sn3wjIulsYP0AAIAdBGggQBsbG9r66JGufvVFnR8bCaSPX7nb+uGvN/Xp1lYg7QMAgGYEaKAPzo+N6PPng5kdfvj4w0DaBQAArbEKBwAAANAFAjQAAADQBQI0AAAA0AVqoAFgGIVC0mfPPzsGAPQNARoAhlHolBT+54MeBQCcSJRwAAAAAF0gQAMAAABdoIQDAIbR9tPmrbxPsZU3APQLM9AAAABAFwjQAAAAQBcI0AAAAEAXCNAAAABAFwjQAAAAQBcI0AAAAEAXWMYOAIZRKCSdiTw7BgD0DQEaAIZR6JRk/DeDHgUAnEiUcAAAAABdIEADAAAAXaCEAwCG0fZT6dH/uXP88r9iK28A6CMCNAAMq9r2oEcAACcSJRwAAABAFwjQAAAAQBcI0AAAAEAXCNAAAABAFwjQAAAAQBdYhQMAhlFI0u8Zz44BAH1DgAaAYRQ6LY390aBHAQAnEiUcAAAAQBcI0AAAAEAXKOEAgGG0/VR6/LOd43NfZStvAOijoQ/QjuOoWCxqYmJCnudJktLpdKDt5HI5VSoVlctlVatVWZalTCbT61sAgN5sbw16BCfSJ5tP9PDhw0D7GBkZUTgcDrQPAL0b6gBdKBS0tLSkfD7feMxxHMViMRWLxUDasW1bqVRKyWRSkuR5nhKJhMbGxnTv3j0ZhnG4NwUAOLLWP9zUL37+c20v/pVGXhwJrJ8XXnpZf/HGXxKigSNqaAO053manZ3VvXv3mh63LEu2bSuXyzVCrl/tFAoFzczMyDTNxnmGYSifz2tsbEyJRKKr4A4AGC4fb27phdAn+uaffFYXv3gukD5+u7qhd3/2SBsbGwRo4Iga2gC9vLws0zRbzvjOzMwom812FKC7aef27duKx+N7zjMMQ8lkUrlcTp7nMQsNAMfcy8aL+vz5swH28HGAbQM4rKFdhSOfzysSibR8zjRNlcvlRi2zX+3kcjnFYrGW505OTkqSSqXSwYMHAADA0BraAF0qlZpKKZ5Xf9x1XV/bmZqaattOPWS3C+MAAAA4HoY2QHdSKtFJgO6mnWKx2LbGuVKpSJKi0eiBfQLAoYUkvXB258ZW3gDQV0NbA72feiCuVqt9a6fTixbX19eb7p85c0ZnzpzpaXwATrDQaSkyOehRAMBQ29zc1ObmZuP+7pzWztDOQB8ltm3LNM2O1oK+cOGCwuFw4zY/P9+HEQIAAGC3+fn5plx24cKFjl53LGeg/apH7qSdcrmsXC6nlZWVjlbfePDggUZHRxv3mX0GAAAYjLm5Ob3xxhuN++vr6x2F6GMZoPspkUjo5s2bbS9E3G10dLQpQANAT2pPpce3d47PXd4p6QAAdKXXUtqhDdCmaba9SLBes9xJqD1MO7FYTNlslgsHAfRfTdLTT54dcyEhAPTN0NZAR6PRtus81wNxJ8G213ZSqZRs25ZlWZ0NGAAAAMfC0AboWCzWdua4Uql0HGx7aWdhYUGJRGLPc67rynGcjvoFAADAcBraAD09Pa1qtdoy/BYKBaVSqabHPM9rGW67badQKCgajbYM1uVyueNaaAAAAAynoa2BNgxDi4uLsm1b+Xy+8XihUJBpmorH403nJxIJOY6jbDbbtF5zN+2Uy2Vls1klEgnlcrnG4/USkKWlJa2srPj9VgEAAHCEDG2AlqR4PC7DMGTbtiYmJhpBttVugbFYTKVSqeV23J22c+XKlbYz2VJnFy0CAABguA11gJYky7I6qndOp9NKp9OHamd1dbXr8QFAIEKSPjPy7BgA0DdDH6AB4EQKnZbO/fGgRwEAJ9LQXkQIAAAADAIBGgAAAOgCJRwAMIxqT6Xq71b9iUyylTcA9BEBGgCGUU3SpxvPjrmQEAD6hgCNE29tbU0bGxuBtP3w4UM92XoSSNsAjq9PNp/o4cOHgbU/MjKicDgcWPvAcUeAxom2tramH/3ge9r66FEg7X/w4Ybcu7/UJ9+ISDobSB8Ajpf1Dzf1i5//XNuLf6WRF0cC6eOFl17WX7zxl4RooEcEaJxoGxsb2vroka5+9UWdH/P/f1S/crf1w19v6tOtLd/bBnA8fby5pRdCn+ibf/JZXfziOd/b/+3qht792SNtbGwQoIEeEaABSefHRvT58/7PED98/KHvbQI4GV42Xgzkc2nHxwG1C5wMLGMHAAAAdIEZaAAYRiFJpz/77BgA0DcEaAAYRqHT0stfHfQoAOBEooQDAAAA6AIBGgAAAOgCJRwAMIxqT6XVOzvHY3/EVt4A0EcEaAAYRjVJWx88O+ZCQgDoG0o4AAAAgC4QoAEAAIAuEKABAACALhCgAQAAgC5wESEOZW1tTRsbG4G1PzIyonA4HFj7AHASfbL5RA8fPgy0Dz6/cZwRoNGztbU1/egH39PWR48C6+OFl17WX7zxl3wIA62cemHQI8AQWv9wU7/4+c+1vfhXGnlxJLB++PzGcUaARs82Nja09dEjXf3qizo/5v+H8G9XN/Tuzx5pY2ODD2Bgt1OnpfP/atCjwBD6eHNLL4Q+0Tf/5LO6+MVzgfTB5zeOOwI0Du382Ig+f/5sQK1/HFC7AHCyvWy8GOBnt8TnN44zAjSOtKDr9B4+fKgnW08Cax8AABw/BGgcWf2o0/vgww25d3+pT74RkRTkTAzgs9pTyfvFzrHxL9jKGwD6iACNI6sfdXq/crf1w19v6tOtrUDaBwJTk/TEe3bMVt4A0DcEaBx5QdbpPXz8YSDtAgCA44uNVAAAAIAuEKABAACALhCgAQAAgC4QoAEAAIAucBEhAAyrEHMgADAIBGgAGEanTkv/5L8b9CgA4ERi+gIAAADoAgEaAAAA6MLQl3A4jqNisaiJiQl5nidJSqfTgbbjV59BW1tb08bGRmDtP3z4UE+2ngTWPoB91Laltf975zj8X1MPDQB9NNQBulAoaGlpSfl8vvGY4ziKxWIqFouBtONXn0FbW1vTj37wPW199CiwPj74cEPu3V/qk29EJAWzUyCANmo1abP67JitvAGgb4Y2QHuep9nZWd27d6/pccuyZNu2crmcksmkr+341Wc/bGxsaOujR7r61Rd1fmwkkD5+5W7rh7/e1KdbW4G0DwAAcBQN7Xd+y8vLMk1ThmHseW5mZkbZbNb3dvzqs5/Oj43o8+fPBnI7F35x0G8PPtp88qm+887/ps0nnw56KACOqc3NTX3nO9/R5ubmoIcCHMrQBuh8Pq9IJNLyOdM0VS6XG/XJfrXjV5/AUbT55Km+e+N/1+aTp4MeCoBjanNzU9/97ncJ0Bh6QxugS6WSTNNs+Vz9cdd1fW3Hrz799jd/8zd977Odv/m3//5Y9OVX20v/6y8P3UavY+nn7wLtHZffw1F6H8fhc8bPdv1oi8+Z4XaUckCvhu09DG2A9jyvZSnF8zoJs92041effjtK/+j+Zun2sejLr7Z9CdA9jqWfvwu0d1x+D0fpfRyHzxk/2/WjLT5nhttRygG9Grb3MLQXEe6nHnKr1Wrf2jno3FqtJkn6z//5P2t9fb3x+JkzZ3TmzJlDjfPp06dNbUrSBx98oM3NJ7r3nz198FEwX5X9p/93TVufbus3/7imml6QtFMG8B/v+7PyR6v2n+dHX+368Ot9bH26ve976MRBY/HrPXy4sbMk4d3/9FifG/m9A9v3U9B9DPI9+PVvaU/7tad6aeMjSdJHG4+k0Gn/+3hOkP+9dWu/sfj9u97d11F8D93+bvz87G73ukfex1r/cEOVSkUffPBB4/EPP/xQknT37l197nOf67q/59VqNYVCwS4/E3QffrW/ubmp//gf/2OgfbTTj/fw0ksv6ezZYFb72tzcbCopqv97ree2tmpDSlItnU63fK5SqdQk1bLZrK/tHKbPBw8e1CRx48aNGzdu3LhxO+K3Bw8e7Jsfj+UMdP1CvnYX/AXRzkHnfuELX1ClUtELL7zQ9JeaHzPQAAAA6N7uGeharaatrS194Qtf2Pd1xzJAH0WnTp1qewEicNTlcjlJO38o3r59W6lUSpZlDXhUAI6rhYUFRaNRPmdwZA1tgDZNs+0Fe/U65E4Cazft+NUnMExSqZQSiUTjf2T1nTdXV1cPvKgWALrluq5s2z5Su/sCuw3tKhzRaLTtmsv1kBuNRn1tx68+gWFSrVabtq6v/5FYKpUGNSQAx5jjOExG4cgb2gAdi8XazgZXKpWOv/bpph2/+gSGST6fb9pls1wuS5KmpqYGNSQAx1ShUND09PSghwEcaGgD9PT0tKrVastAWygUlEqlmh7zPE+O4xyqnW77BAbF8zylUinZtr3veY7jyLZt5XI5LSwsaGFh4cC2s9msMpkM5RvACef350z9G14+WzAMhrYG2jAMLS4uyrbtpq+XC4WCTNNUPB5vOj+RSMhxHGWzWSWTyZ7a6bZPoN9s25brurp8+bIcx9n3W5FCoaClpaWmf8v1+uZWtYe5XE7FYlGxWEzpdDqQ8QM4+oL6nFleXm76/zNwlIV+t77x0HIcR8ViURMTE42/Xlv9z31hYUHz8/O6efNmyzrlTtvp9lxgUCYnJzU1NdVUflHneZ7Gx8d17969PbM9k5OTSqVSLf9H5nmebNuWYRjKZDJBDR3AkPDrc6ZcLsswjEbt88TEhLLZLKWROLKGdga6zrKsjv4DS6fT+4bcTtvp9lzgKFpeXpZpmi2/Kp2ZmdnzTU2dYRjKZrMKhUI6d+4cfzgCaKubz5lSqcTsM4bK0NZAA+hdPp9vu+mPaZoql8uNb1dSqdSeun/TNFliCsC+Ov2cWVhYUKVSadRHLywsqFqtKpvNdnRdBjAIQz8DDaB7pVKp7ZXu9a9Q66E5l8spkUg0LStVrVZZshHAvjr9nGn1TZZt22zYhCONGWjgBPI878Ar3V3XVTQaVTqdbvqfmOM48jyPGmgA++r0cwYYRsxAA2hS/x9efXfNubm5pq9Rb9++rZWVFTY6ANCz3Z8zdY7jNFbsyGQyKpfLXGuBI4kADWBfhmHwPzAAfVG/SL/Vqh7AUUIJB4Am9YsH2138AwCHxecMhh0BGgAAAOgCARo4gUzTbHvxTr0mkRpnAIfB5wyOMwI0cAJFo9HGV6i71f+HxzJ1AA6DzxkcZwRo4ASKxWJtZ4YqlQprrwI4ND5ncJwRoIETaHp6WtVqteX/3AqFglKp1ABGBeA44XMGxxkBGjimPM/bs8ZqnWEYWlxclG3bTY8XCgWZpql4PN6PIQIYcnzO4KQK1Wq12qAHAcAfCwsLun37tlzXVblclrSzrqphGJqZmdnzPyzHcVQsFjUxMdGoVWTNZwD74XMGIEADAAAAXaGEAwAAAOgCARoAAADoAgEaAAAA6AIBGgAAAOgCARoAAADoAgEaAAAA6AIBGgAAAOgCARoAAADoAgEaAE6whYUFhUKhxm1ycnLQQxoI27abfg6xWGzQQwJwhBGgAeCEsyxLlUpFlUpF+Xx+0MMZiLm5ucbPgG2mARzkM4MeAABgsAzDkGmaTY+lUimVSiV5nifXdVWr1QY0uv4wDEOGYUiSJiYmVC6XBzsgAEcaM9AAgD1SqZRSqZRc1x30UADgyCFAA0CflMtlpVKpQQ+jI9FoVMlkUpZlDXooAHDkEKABoE8SiYRyudxQlQfUyxoAAM8QoAGgD+q1xNLO7C4AYHgRoAGgDxzHkUR4BoDjgAANAH1QLBYliZpiADgGCNAA0Af1GWg26ACA4UeABoCAPV//zAw0AAw/NlIBAJ+5rqvJyUl5nrfnuVAo1DhOp9PKZDJ9HNnhLSws6PHjx/I8T6VSSaZpanFx8cDVOlzXbbxXwzAaP5tUKtWyLnz3Ri6rq6tNfbiuq1QqpWq1Ktd1ZZqmVlZWmtpIJBJyXbfRV6VSked5sm1bhmHIdV3NzMwoHo/3/PMAcDIRoAHAZ6ZpanV1tXE/lUopl8sNZWCuqwdP27abdi2MxWIaHx/XvXv32oboQqEg27ZVLBabXut5nq5cuSLLsvb8XBKJhCYnJ9uum22apmzbVj6fb7ss4NzcnEqlklKplEzTlOd5mp2dVT6fl+d5GhsbU6FQOPa7LALwHyUcABCw41D/bNu2MpnMni2/M5mMPM9TLpdr+bpcLqfZ2VmtrKzsea1hGFpZWZHjOHuCsmVZSiaT+84OW5albDbb9vn6ZjD1Ge564K73HY/HlU6n279pAGiDGWgACFCv9c/18oNyuSzDMDQ1NdU0w+t5nqrVamP2NZvNKplM+jr25xmG0XKGuR5Oi8XinjDqeZ5SqZTS6fS+JR6ZTEaxWKxtOcdhRSIRlctlTUxMND1eD9MA0C0CNAAEaHl5WVL3Fw/WSxMmJydlWVbbsFevt45EIoce634Omj2vVqt7HrNtW5I0MzOz72vrP5v6THVQuIATgF8o4QCAANXXf+6lfKNe+rFfADVNU8lkck95hN96ab/+x0MnrzUMQ+VyueWFl34J+mcE4OQgQANAgOohuJfZz043Xzl37lzg4bCXGe56GD5ohY7n26+XuwShk3EAQCcI0AAQkOeXUOulttdxHJmmuSf47Q6Zjx8/PnLhsNeZ5FalIABw1BCgASAghUJBUm+zz/WLA1u9dvfKE3Nzcz2MLli7L3g8SD04U2YBYBgQoAEgIPUSjEQisee5g2qi2y19VygUdO7cuabHjtrsc119CbpSqbTveZ7nyfM8mabZdYAOsmYaANohQANAQOrBcfcscqFQODBA18N3NptVIpFQLBbT5OSkEonE0KwmUd8cZb+1mqVnFxu22mTmoNrr+h8aANBPLGMHAAGpz47u3n0vm802AnI79W2ynz+vvmRdEGslB8E0TWUyGdm23dhuu5VMJqN4PN5y05TJyUlJO++91fsuFotHdgYewPHFDDQABKQeCOtB2nXdxlbS+6kv57Z7ptk0TU1PTwcy1nbqFyy2Wx3j+ffWSjqdVjab1eTk5J4ttz3PUywW23ed6+npaRmGofn5+T3P1bcWl3Z+Zo7jtCzpOOg9AEC3mIEGgIDk83mlUiklEgkZhqFIJKLFxcUDZ0z32/p792O5XE6WZfl+8d3k5GTTKiJXrlxRJBJRNpuVZVkql8tKJBKNi/88z9PY2JgikYgqlUpTW8lkUpZlKZPJqFqtKhKJyHVdGYahTCaz74y6YRi6d++ebNtWLBZrWpVkbm6ucWwYhlKpVGN7cEmamJhQtVptvIf6hjPRaJRdCAEcSqhWq9UGPQgAwDOxWEyO42h1dfXAsJ1KpQ6sMd7PwsKCbt++TaB8Ti6XUz6fP7DMBsDJRQkHABwx9frng8JzJxcjAgD8RwkHABwh9bKJg2qdXdeVbdt7yiUAAMFjBhoAjpB6OcZ+M8v1medUKtWvYQEAnsMMNAAcAbZtN1aSkKT5+XktLS01nvc8T9VqtenCvmQyOYihAsCJR4AGgCOg1SYiAICjiRIOAAAAoAsEaAA44QqFgkKhkEKhUGPnv5PGtu3Gz4DacgAHYR1oADjB6rXVz/N7U5ZhwM8BQDcI0AAAAEAXKOEAAAAAukCABgAAALpAgAYAAAC6QIAGAAAAukCABgAAALpAgAYAAAC6QIAGAAAAukCABgAAALpAgAYAAAC68P8B0GE4FSPYudgAAAAASUVORK5CYII=", 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" ] @@ -2104,134 +1429,116 @@ } ], "source": [ - "p_arr_test = np.linspace(0.7, 1.33, 16)\n", - "# p_arr = np.linspace(0.7, 1.33, 16)\n", - "our_yield = np.array([yield_ffp(p) for p in p_arr_test])\n", - "# plt.plot(p_arr_test, np.array([yield_ffp(p) for p in p_arr_test])*0.925/2*0.667, label=\"FFP\")\n", - "plt.plot(p_arr_test, our_yield, color='C0', label='Our Result')\n", - "plt.plot(p_arr_test, our_yield/(2.23), color='C1', label='Scaled Result')\n", - "\n", - "# plt.fill_between(p_arr_test, our_yield/(1.61), our_yield, alpha=0.5, label=\"Our Result\")\n", + "def plot_histograms(data_structure, nick_tes_data, num_samples=10000, num_bins=24):\n", "\n", - "# plt.plot(1, np.sum(N_power_our_fid_arr*johnson_logn_new), 'o', label=r\"Our Fiducial $\\times$ Johnson LogUniform\", color='C1')\n", - "# plt.plot(0.73, np.sum(N_power_new_arr*johnson_logn_new), 'o', label=\"Johnson Fiducial Power Law\", color='C1')\n", + " for m_pbh, nick_tes in nick_tes_data.items():\n", + " if m_pbh == 3e-6:\n", + " bins = np.logspace(-1, 1, num_bins)\n", + " elif m_pbh == 30:\n", + " bins = np.logspace(2.5, 4.5, num_bins)\n", "\n", + " plt.figure()\n", + " for entity, entity_data in data_structure.items():\n", + " for finite_val, finite_data in entity_data.items():\n", + " if finite_val:\n", + " continue\n", + " for v_disp, v_disp_data in finite_data.items():\n", + " for p_or_mass, p_or_mass_data in v_disp_data.items():\n", + " if entity != 'pbh' or p_or_mass != m_pbh:\n", + " continue\n", + " # Calculate gamma(t) for each case\n", + " t_es_limited = np.logspace(np.log10(np.min(p_or_mass_data['t_es']))+0.1, np.log10(np.max(p_or_mass_data['t_es']))-0.1, 60)\n", + " gammas = np.array([gamma_of_t(p_or_mass_data['calculated_values'], t, t_es=p_or_mass_data['t_es']) for t in t_es_limited])\n", + " \n", + " # Sample crossing times\n", + " samples = sample_crossing_times(t_es_limited, gammas, num_samples)\n", + " \n", + " # Plot histogram\n", + " bin_counts, bin_edges = np.histogram(samples, bins=bins)\n", + " plt.bar(bin_edges[:-1], bin_counts/np.sum(bin_counts), width=np.diff(bin_edges), align=\"edge\", edgecolor=\"black\", label=f' LCP, Point, v_disp={v_disp}', alpha=0.5, color='blue')\n", + " plt.axvline(np.mean(samples), linestyle=\"--\", alpha=0.5)\n", "\n", - "# plt.yscale(\"log\")\n", - "plt.xlim(0.7, 1.33)\n", - "plt.ylim(1e2, 1e4)\n", + " # Plotting for Popsycle data\n", + " bin_counts_popsycle, bin_edges_popsycle = np.histogram(nick_tes*24, bins=bins)\n", + " plt.bar(bin_edges_popsycle[:-1], bin_counts_popsycle/np.sum(bin_counts_popsycle), width=np.diff(bin_edges_popsycle), align=\"edge\", edgecolor=\"black\", label=r\"Popsycle $t_E$\", alpha=0.5, color='orange')\n", + " plt.axvline(np.mean(nick_tes*24), color='orange', linestyle=\"--\", alpha=0.5)\n", "\n", - "plt.ylabel(\"FFP Yield\")\n", - "plt.xlabel(\"p\")\n", - "plt.yscale(\"log\")\n", - "plt.legend(loc='upper left')\n", - "# plt.savefig('figures/ffp_estimated_yield_comparison.pdf')\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 238, - "metadata": {}, - "outputs": [], - "source": [ - "rho_arr = np.logspace(-2, 0.7, 1000)\n", - "A_t = 1.34\n", - "my_ut_arr = np.array([ut_func_new(rho, A_t) for rho in rho_arr])\n", - "j_ut_arr = np.array([max(1, 2*rho) for rho in rho_arr])\n", - "j_ut_alt_arr = np.array([max(3, 2*rho) for rho in rho_arr])\n" + " plt.xscale('log')\n", + " plt.xlabel(r\"$t_E$ [hour]\")\n", + " plt.ylabel(\"Normalized Count\")\n", + " plt.title(f\"PBH, M = {m_pbh} $M_\\odot$\")\n", + " plt.legend()\n", + " plt.show()\n", + " \n", + "plot_histograms(data_structure, nick_tes_data)\n" ] }, { - "cell_type": "code", - "execution_count": 265, + "cell_type": "markdown", "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "array([1.60821524])" - ] - }, - "execution_count": 265, - "metadata": {}, - "output_type": "execute_result" - } - ], "source": [ - "max(my_ut_arr)" + "## FFPs" ] }, { "cell_type": "code", - "execution_count": 287, + "execution_count": 25, "metadata": {}, "outputs": [], "source": [ - "import matplotlib.patches as mpatches\n" + "nick_ffp_df = pd.read_csv('popsycle_data/nick-t_E-Lmass-ffp-06-combined.csv', header=None)\n", + "nick_ffp_tes = nick_ffp_df[0].values\n", + "nick_ffp_masses = nick_ffp_df[1].values\n", + "# nick_ffp_tes_sampled_066 = 10**(pd.read_csv('popsycle_data/p066-logtE-sampled.csv', header=None).values.flatten())\n", + "# nick_ffp_tes_sampled_100 = 10**(pd.read_csv('popsycle_data/p100-logtE-sampled.csv', header=None).values.flatten())\n", + "# nick_ffp_tes_sampled_133 = 10**(pd.read_csv('popsycle_data/p133-logtE-sampled.csv', header=None).values.flatten())\n", + "nick_ffp_tes_sampled_066 = 10**(pd.read_csv('popsycle_data/lower1e-12-p066-logtE-sampled.csv', header=None).values.flatten())\n", + "nick_ffp_tes_sampled_100 = 10**(pd.read_csv('popsycle_data/lower1e-12-p100-logtE-sampled.csv', header=None).values.flatten())\n", + "nick_ffp_tes_sampled_133 = 10**(pd.read_csv('popsycle_data/lower1e-12-p133-logtE-sampled.csv', header=None).values.flatten())\n", + "\n", + "nick_ffp_tes_data = {\n", + " 0.66: nick_ffp_tes_sampled_066,\n", + " 1.0: nick_ffp_tes_sampled_100,\n", + " 1.33: nick_ffp_tes_sampled_133\n", + "}" ] }, { "cell_type": "code", - "execution_count": 388, + "execution_count": 31, "metadata": {}, "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_44185/3285702519.py:8: RuntimeWarning: divide by zero encountered in log10\n", + " diff_rates_interp_log = interp1d(np.log10(t_es), np.log10(dgamma_dt))\n" + ] + }, { "data": { - "image/png": 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4BgAA6970j/frxPh/mMsNVz1D219MOQXyRzgGkJN4PF7yY0Sj0ZIfA4D1ZCqnuOKOz8hWt6F8ncK6RTgGqlw8Hpfb7V6xjc/nK3lfIpGIwuFwyY8DwDoMw9Chz75JcyePm+u2v/id2nj1M8vXKaxrhGOsiebmZrW2tqqrq0ter1der9dc5/P55PV61dXVpebmZjOERSIRud1uNTc35xSYwuGwmpub193oYzgcltvtls1mUyQSWfPjd3d3a2xsbMU2/f39Je+Lx+NRMBismN9hIBDI601BOBzWwMCABgYG5PV6NTAwsOI2K70xAbC86XuHdWLsS+Zyw1XP0MUvfkcZe4T1rq7cHYD1xeNxORwOjY+Pp6wPBALavXt3SuiKRCLq6+uTJDmdTo2MjMhms+V0nJaWFjkcDrW0tBSv82vA5XKpo6NDzc3Na37scDisSCSybMlEIBCQ2+2W3W5fkz719/erq6tLIyMja3K8paLRqPmcHB4eVk9PT07bJR7H3t5ec11ra6smJibk9/szbjMwMMBIObAKs1NP6PBn9y6uoJwCRcDIMUouFotp377cLopwOp1yOBwp63INZU6nU+Pj42sW4oqpXH0eGRkxR0azBWS/359zQCwGu90uh8NRttDocDjk9/vl9/vTnovL8fv9aaPMLpdLgUAgY/toNKrR0dFV9RWoZhnLKV70DsopsGqEY5RcNBrNK2Rs27athL1BQiAQkNfrNUfaM5UyhMNhdXR0rHXX1NXVlXW0tVK53W65XK6c24dCIe3Zs6eEPQKsbfreYGo5xZVP18UveWcZewSroKyiAkydmdFPD0+Xuxs5ueGyRjVtym8y9Y6OjrxGRj0eT8b1iRG4iYkJSUopx4hGo/J6vRobG1MwGDRDSigUUiwWU0tLi2KxmMbHx9XV1ZU1xAQCAfX39ysajcrj8WhoaEg+n0/Dw8NqaWmR3++Xy+WS1+tVIBCQ0+lUMBiUw+FQJBLR/v371draKkkpH7GHw2H5fD5FIhFNTEwoFAppdHRUbrc746hsPB7Xrl27FI/H5XK5FAwGizq6HI/HNTExoZ6eHnPEOBaLpbULBoMZa2Kj0agikYhGRkbU39+f0rfW1laNjIzk9YZoKZfLpa6uroK3LwePx5P23B0eHs5Yqx0KheTxeMpSYw5Ywez0ER2+K7WcYuFmH5RTYPUIxxXgp4en9bzBH5a7Gzn53t7n6Lm78hvZzTfUZQpVwWAwJYQ1Nzers7PTDCMOhyOtPjkajWpkZCRlBHKlC6R6enrU0dGh9vZ2DQ0NyW63y+/3KxaLyeFwmKE6sS4YDEpaCL/9/f0pdbKhUEhdXV1mWD9w4ICam5sVCoXU29srn8+XVoedYLfb5XK5tG/fPjmdzhwetfz09fWZpS6JxzTbyHGmC9LC4bB6enq0f/9+BQIB801AJBLJ+5OCbFpaWoq2r7WUeOMTiURS3qglxONx8/lEOAYKc+izezV34pi5vP1F79Cmq28sY49gJYRjrAt2uz0lZHd0dGh0dDRtpC65TSKoJfN4PCvOhJCoe06+GMvhcCgUCqWMAiaPqHq93rQyAI/Ho+7ubnOUcOmbhOVmfxgYGDDDebFFo1G1traa+06Ez0w1x4kQlywUCpmBLxwOp5QGhMPhtDDvdrvlcDjU2tqq48ePKxAIqKenR9u2bdPExETKm4xkDocjp3Ds9Xrzmt3C6/Vm/XSiGBIjyKFQSD6fz/xkISH5zQSA/E39eFgnRkPmMuUUKDbCcZF0dnaqtrZWe/fu1d69e1feAHnp7OxMWc4lNLpcLnV3d6u1tVUej8esCc1lJDIxpVgiHG/btk3RaNQMa8kBMRHCM9Xmulwu7d+/PyWMrTQS3NXVpc7OzpJdpNff35+xnjdRrpIsU2BO/CzhcFjxeDzlZxsZGUkZKY1Go3K73WYYDIVCaW8ysk2VZrfbcwq9lVqb7PF4NDo6qvb2dh08eFB2u13hcDivumQAqdLKKWpqKafAsgYHBzU4OKi5ubmctyEcF8no6KgaGxsL2vaGyxr1vb3PKXKPSuOGywr7GcvBbrfr4MGD8vl8CoVCGhgYMKeUWyl47tmzRwMDA4rH44pGo3K5XPJ4PPL7/Sk1yZLMOYKz7XNpwFtuqrm+vj51dnbK5/Opp6en6AE5FFoYbVkaSDMF0ZXuiBcMBtNGYMfGxlL2HQ6HU0ZJl4ZnSWaNthW53W4NDAyYo8WRSIRRY2AVDn/2L1LLKV5MOQWWlxi0nJ6eVlNTU07bEI4rQNOm+rzreLGySCQip9NpjiwmLtrr6+tb8YYWTqdTdrtdw8PD5oV1iZuXLL0ALbksIVOYzadmNlFjPDIyou7u7ozlBqsxOjqacaQ1EomkXZC3UjBfWo8cjUbNCwgTdu/evew2mdokJObHXkmllFU0Nzdr3759KeE38UZoYmJCgUBAExMTKT9/oubY5/Np27ZtBGdgGdP3BjU9uvia2LDzBl38kneVsUewKsIxLCsajSoWi5lhLTF/rdfrzWn7np6elNkaXC6XotGoBgYGUsKVy+UyPzJfGroSF+rlKhFIg8GgeWfAYn0MPzAwkHW+abvdnvEueXa7PWvoX1pKEg6HzTCbqCteul1iFH7pMTJJzDKykkooq0iMsi8N84nQ3t7ennFWkkAgkPdzBKhGs9NHdeizb1pcQTkFSoh5jrEuxePxrB/7J69fGjoSNbC52LNnT1o49Xg82r9/f1oIGhoaMu/slxAIBNTR0VHQDTTsdrt6e3vTpjOLx+Nqb2/P+wYZ4XBYx48fzxpEHQ5HxsczcVFctm2SR5uDwaBZT51pX+Fw2LzBRy4qYaaKbM+zeDwut9ttjvza7Xb19PSk1ZP7/X45nc6sz4GVSlcALDicNjvFPm26pvgz+QASI8dYY+FwWCMjI2aoGB4elrQQLvbt25c224Tf71c8HldfX59isZh2796tvr4+jY2NmSOdfr8/rW1CV1eXBgYGzP0uvb3vcpxOp1wuV0rg8Xq9Gaff8ng8cjgc8vl8am1tNUNPYmq3cDhsjnB2d3fL5XKZwT35e4nSDY/HY17w1t7ern379snj8SgWi5lT1OUyohyNRs2aa4fDoT179qT8PPF4XD6fzwzbXV1d8nq95r737NmjsbGxjBcR+v1+BYNB82cNBoPq7u5WIBDI2Ldc+5zol8PhKMudAxPPoUS9eeI52traaj53YrGYxsbGUt4c9Pf3KxAImDXt0WhUTqcz46hwNBqV3+83a8C7urqyznkNVLuM5RS3/l0ZewSrsxmGYZS7E+tZosB7amqq4AvygHwlyhZKLRGui1H77Ha7U2auWE7i5i2ERaC6zU4f1cQ7rtPciaMLK2pqtevvf6xNu9rL2zGsO/nkNcoqgHVorT6OT5RVFON4+dRP9/X1Zb1QD0D1OHzXXywGY0nb/+RvCcYoOcIxsM5kuvCvlDLVU+cjEAiYF0Hu379/xXrpSCRiXuQIoHpNj4Y0fe+wudyw83ptp5wCa4CaY2CdSYTHteJ0OhUOh82p8fKVKI3IZVaJRL1vsaewA7C+zE4f1aF/WzI7xR2fUU19Q/k6harByDGwzpRjLtze3l7zAsFSCgQCGhoaKukxAFS+w5/7S8opUDZckLdKXJAHAEDxTI9+UY9+dLF0rGHn9dr1njFGjbEqXJAHAADWndkTx3To3964uKKmVjvu+DTBGGuKcAwAACrC4buWllP4tGlXxzJbAMVHOAYAAGU3PfYlTf/4C+ZywxXXafutf1/GHqFaEY4BAEBZZSyn6GZ2CpQH4RgAAJTV4bv+UnPTR8zlbbf0Uk6BsiEcAwCAskkrp9jRpotf+u4y9gjVjnAMAADKgnIKVCLCMQAAKIvDn3tzejmFo7OMPQIIxwCKJB6Py+12l7sbANaJ6bH/0PSP/t1cppwClYJwjHUpHA6rublZ0Wi04H3E4/GS3w65mnR3d2tsbKzc3chLIBCQz+fLuX04HNbAwIAGBgbk9Xo1MDCw4ja8YQDSzZ48rkOfTSqnsNVwsw9UjLpydwAoREtLixwOh1paWgrex9jYmFpaWuR0OovYs+oUDocViUTWxZuNaDSq/v5+SdLw8LB6enpy2i7x8/X29prrWltbNTExIb/fn3GbgYEBhcPh1XcasJjDn3uz5qaeMJe33dKrTa3PKmOPgEWMHGNdcjqdGh8fl91uL3gfwWCweB2qciMjI+YIbKUHZIfDIb/fL7/fL4fDkfN2fr8/bZTZ5XIpEAhkbB+NRjU6OrqqvgJWND3+ZU3/793mMuUUqDSEY1SlcDicNdQgP4FAQF6v1xzFX02pSyVzu91yuVw5tw+FQtqzZ08JewSsP7Mnj+vQv71hcUWinGLDxvJ1CliCsooKcurUqazfq62t1caNG3NqW1NTo02bNhXU9vTp0zIMI63dli1bsu5jJeFwWD6fT5FIRCMjI4pEIpKkiYkJ2e128yPuZJFIRPv371dra6skpXycHY1G5fV6NTY2pmAwKJfLpUgkou7ubkWjUR04cMAMaImRu+RjhMNhc9S4r6/PHD3M1I9koVBIsVhMLS0tisViGh8fV1dXlxmYlutzJBKRz+fT2NiYhoaG5PF4FI/H1d3drXA4rJ6eHvP4yY/XxMSEQqGQRkdH5Xa7zRKASCQiv9+v9vZ2xeNx2e32tPKARKmD3W7X+Pi4vF5v0UtI4vG4JiYm1NPTY44Yx2Kxoh6jUng8Hnk8npR1w8PDGZ83oVBIHo/HfK4DWJBeTvF2yilQeQysytTUlCHJmJqaWvW+JGX9d8stt6S03bx5c9a2z3/+81Pabt++PWvbjo6OlLZXX311xnarNTk5aUgyPB5Pyvqenh7D5XKlrBsZGUlbFwwG07aVZIyMjKSt6+npMSYnJ811drvdCAaDaX2SZIyPj+fU/4mJCaOnpydlXX9/v3n8fPq8tC8ul8vo7e1NWZd4vPr7+w3DMIze3l7z+CMjI4bD4Uhp39vba/j9/pRjO53OlDZ2u92YmJjI6efNVW9vr/lYT0xMGJJS+lHpnE5n2mO/kmAwaPT29houlyvt+WcYC7+7xGMQDAaLcv4AVjA19h/Gz18t89+v//Zpxty5M+XuFqpEPnmNkWOsiURtsNfrTVnf39+v5uZmc6Qt0WbpBU4ej0fd3d0p7TLVG9vtdvNfQkdHh0ZHR9NG/fIRiUTSygU8Ho+5brV9Xmld8uik1+tNq30Nh8Patm2budzd3a2hoaGUNrt371Z/f3/Wi8fyFY1G1draavY1MQK/tObY7XbL4XCotbVVx48fVyAQUE9Pj7Zt26aJiQnFYrFl67+9Xm9epRper3dVv+uVJEaQQ6GQfD6fgsFgSu1yIBBIuWgPgDR3MkY5BdYNwnEFOXnyZNbv1dbWpiwfOXIkS8uFUolkDz30UM5tH3jggYxlFcWydHYJu90uh8OhkZER82PoaDSqjo6OtG1dLpf279+/YvDp7EydQH41F+0lH7u7u1utra3yeDxm/anD4ShKn7NZWgYRjUYzHmt8fNz8OjGrwtJt29vbixaMJWUN2hMTEyn9dbvdZlgMhUIKhUIpYX+lqdSK2edi8ng8Gh0dVXt7uw4ePCi73a5wOJxXXTJQLdLKKf74bdrcelMZewRkRziuIPnU9Zaq7ebNm3NuWywOh8McGUzMk5st0Jb6Yq/29va0OtHx8XE5nU4dPHhQPp9PoVBIAwMDcjgcGh8fL2mfl76ZSOxrucCf6E84HE7ZvqWlZcW66lyFQiFJ6cHWbren/LzhcDhlFHVkZCQtPCZqtNcjt9utgYEBc7Q4EokwagwscSLyFU397+fN5Q2XP1UXv+y9ZewRsDzCMcouGo2agSn5o/lMATCfqbfy7UM0Gk0ZgU0WiUTkdDrNUczERYF9fX3mTR4K7XM+U58l9hWNRrPuN7E+MbJdCqOjoxlHdCORSMoFebt37075fuJiw2RL2yxVKWUVzc3N2rdvX0r4Tbz5mJiYUCAQ0MTERMrPl3ij5fP5tG3bNoIzqs7cyZgOfWZJOUX3ZyinQEUjHGNNLZ3JIB6PKxqNqqurS9JCoEt8PL004ITD4aKNfGay3A1FotGoYrFYSoj3+/3yer3q7+9fVZ+j0WjOs0g4HA6zlGPpCGziI/3EYxiJRNLCcTE+9h8YGNC+ffsyfs9ut6fcJW/pm4XkN0LZ2ixVCWUViTcwSx/PRGhvb2/PeDORQCBQ8uctUMkOf/4tmp06bC5TToH1gHmOsaaWXnjV3d0tj8eTEpiGhobU19eX0i4QCKijoyMtgOQy6prtNtFOp9MMcomR4eUsDTiJetp8+tzR0ZEyCpoYWcxn9Njv96uvry9lm6Ujq0NDQ2kjtNFo1NwmHo+rvb0977u3hcNhHT9+PGugdTgcWX+WcDhs1phXimzPjXg8Lrfbbf5+ElPlLX2O+P1+OZ3OrHfZq/QbogCldCJyj6Z++DlzmXIKrBeMHGNNud1us151dHRUnZ2daR81ezweORwO+Xw+tba2mgFjZGRE0uIcv/F43AykiZHcxLpYLKbdu3err69PY2NjZghOHoVMBMh4PJ5TYOvq6tLAwIAZDJPnMV6pzwmJu6wlbkDicDjkdDo1PDxsztoQDofNfnZ3d8vlcqUEc5fLpQMHDpjHcjgcstvtKW8wEv3xer1qb2+XtDAynhjZjsViikajGWuAM4lGo2a9tcPh0J49e1KCYjwel8/nM8N2V1eXvF5vyr5zPVapJZ4jiU8thoeHJS3UPid+n7FYTGNjYymfdPT39ysQCJh3ZkyM+GcaFY5Go/L7/eZzvaurK2WeasDqFsopkmYnYnYKrCM2o5RTE1SB6elpNTU1aWpqSo2NjeXuTkWz2WzmxW2oDIlp1daC2+1OmbkCgHU95n+1pn54l7m87Za369I9A2XsEapdPnmNsgqgiq3lx/5McwZUhxM/+c+UYLzh8mspp8C6QlkF1pRVby28HmW6gLAUEqUIkrR///6UCxsBWMvcyZgOfTrp0yhbjXbc8RnVbNhUvk4BeSIco+SSa2j7+/sVjUapvawAmWa8KIXE77oSZp0AUFqHP/9XqbNTvPCt2vykZ5exR0D+qDleJWqOAQBYKKd45MMvMZc3XH6tHP/wE0aNURGoOS6Dzs5OtbW1aXBwsNxdAQBgTc2dmlwyO4XtwuwUBGOU1+DgoNra2tTZ2ZnzNowcrxIjxwCAavdY4DWa+sFnzeWWF/6NLvvTD5WxR0AqRo4BAMCaOHHfV1OC8YbLnqJLbntfGXsErA7hGAAAFGTu1OSS2Skop8D6RzgGAAAFOXz3X2s2fshcbnnBW7X5yc8pY4+A1SMcAwCAvJ2472ua+p9/M5cpp4BVEI4BAEBeMpZTvP5TlFPAEgjHAAAgL4fvfqtm44+byy0v+GttfsrvlrFHQPEQjgEAQM4Wyik+Yy5vuPTJuuTllFPAOgjHAAAgJ3On4plnp2jYXL5OAUVGOAYAADlZmJ0iqZzij/6KcgpYDuEYAACs6MT9X08vp7jt/5WvQ0CJEI4BAMCyMpdTfIpyClgS4RgAACzriX9/q2YnHzOXW9xv0eanPLeMPQJKh3AMAACyOnH/NxT//qfN5Q2XPkmXeN5fxh4BpUU4BgAAGS2UU3QvrmB2ClQBwjEAAMjoiS/8DeUUqDqEYwAAkObE/d9Q/HufMpfrL2mlnAJVgXAMAABSzJ2eopwCVYtwDAAAUjzx70vLKd6sLdf+Xhl7BKwdwjEAADCd/L9vKv69T5rLlFOg2hCOAQCApIVyisczllNsKV+ngDVGOAYAAJIulFPEHjWXW1x/STkFqg7hGAAA6ORP/yu9nKLrA2XsEVAehGMAAKrc3OkpPf6pO1LW7Xj9pyinQFUiHAMAUOWe+MLbUssp3H+pLU99Xhl7BJQP4RgAgCp28qffUvy7nzCX6y926JKuvjL2CCgvwjEAAFUqYznFHZRToLoRjgEAqFJPfOHtmo09Yi4vlFM8v4w9AsqPcAwAQBVaKKcYMpcppwAWEI4BAKgyc2emM8xO8UnKKQARjgEAqDpLyymaXX+hLU/7/fJ1CKgghGMAAKrIyZ+NKP6dgLlcf/EuXUo5BWAiHAMAUCXmzkzrUKabfWy8qEw9AioP4RgAgCrxxBferpnjD5vLzTfvpZwCWIJwDABAFTj583B6OcXuD5axR0BlIhwDAGBxc2emdeiTr09Zt+P1n6ScAsiAcAwAgMUd2d+7pJziTdrytD8oY4+AykU4BgDAwk7+PKzJb/vN5frt1+jS3f1l7BFQ2QjHAABY1NyZE+mzU9zB7BTAcgjHAABY1JH9vZo59ltzmXIKYGWEYwAALOjkzw9o8tsfN5cppwByQzgGAMBiFsopmJ0CKAThGAAAizky7Estp/jDN2pL2x+WsUfA+kE4BgDAQk498N+a/O9/NZfrt1+tSyinAHJGOAYAwCLmzpzQ4598Xcq6Ha//lGo3bS1Tj4D1h3AMAIBFpJVT/MEbKKcA8kQ4BgDAAjKWU+wZKGOPgPWJcAwAwDo3f/akHv9k6uwUl7/uk5RTAAUgHAMAsM49MezTzLGHzOXmP/DqoutuLl+HgHWMcAwAwDp26sFva/LAx8zl+m1X6ZI9d5axR8D6RjgGAGCdmj97Uo9/InV2istfTzkFsBqEYwAA1qknhv82QzmFq3wdAiyAcAwAwDq0UE4xaC4vlFMwOwWwWoRjAADWmYyzU7z+k6rd1FimHgHWQTguks7OTrW1tWlwcHDlxgAArMITw3+rmaMHzWX77/dQTgFkMDg4qLa2NnV2dua8jc0wDKOEfbK86elpNTU1aWpqSo2NvGMHAJTWqQe/o99+8A/M5fptV8nx/p8yagwsI5+8xsgxAADrxPy5U3r8k0tmp3jdJwjGQBERjgEAWCfSyime362LrneXsUeA9RCOAQBYB0794ruaDH/UXK5ruVKX/umHytgjwJoIxwAAVLj5c6fSbvaxg3IKoCQIxwAAVLgjwX2aORo1l+3Pv0MX3fBHZewRYF2EYwAAKtipX3xXsZF/MZcXyin+sYw9AqyNcAwAQIXKXE4xRDkFUEKEYwAAKtSR4DsylFO8oIw9AqyPcAwAQAU69YvvKTbyz+ZyXctOXfoKZqcASo1wDABAhcl0s48dr/uEajc3lalHQPUgHAMAUGGOBN+hmSMT5rL9ea+nnAJYI4RjAAAqSMZyCmanANYM4RgAgAoxf+50ejnFnw9RTgGsIcIxAAAV4khoaTnF63TR019Yxh4B1YdwDABABTj1y+9nKKf4pzL2CKhOhGMAAMps/txpHfrk6yTDMNdd/toA5RRAGRCOAQAosyOhd+r8E78xl+3Pe522PuOPy9gjoHoRjgEAKKOFcoqPmMt1zVfo0lcwOwVQLoRjAADKJGM5xZ8PqXaLvXydAqoc4RgAgDI58sV3pZZT/N6fU04BlBnhGACAMjj9q/9R7FsfNpfrmq9gdgqgAhCOAQBYY/PnTuvxTywtpwhQTgFUAMIxAABrbKGc4tfmctNzX6utz7iljD0CkEA4BgBgDZ3+1Q9SyynsO3TZK/+/8nUIQArCMQAAa2T+/Bk9/ok/p5wCqGCEYwAA1kh6OcVrtPWZf1LGHgFYqq7cHQAAoBqc/vUPFfuvxfIJyikW/PLISX3hvsf0vw9N6qHJ0zo0fU7bNtfLsW2LnnWVXd03Xa1d2zaXu5uoIoRjAABKLHs5RXMZe1U+hmHoPx94Qu8P/1qjj8TTvn/i3Kwemjyj//7NMQ18+zd6dceV6rvlabp0a8PadxZVh3AMAECJHfni3+n84V+Zy9VcTvGj307qLV/+WcZQnMm8IX1m9BF9+zfH9LXX36S2y7aWtoOoeoRjAABKaKGcYvHmHnX2y6uynOLUuVm965u/0D//z8HkAXTTtRdv0Y1XNOnyxo06duq8Io9O6edPnDC//9vJM/r9f/2hwt7f0dN3NK5hz1FtCMcAAJQI5RQLfnHkhG77zJgePHIyZf2G2hq9/qar5H321brh8q2y2Wzm9wzD0IFfH9Obv/wz/eLCdsdOndcLh36kn77t97Vty4Y1/RlQPZitAgCAEjn6pb9PLaf43Vdr6zNfVMYerb0v/fSQbvrI/6QF41c5r9Cv/vYPNPjyG/T0HY0pwViSbDabXE+5WD/4i9/Vc65ZfDNx+MQ5vfnLP1uTvqM6EY4BACiB07/5Xx3/5j+ay3X2y3XZqz5cvg6tMcMw9N5v/VKefxvTiXOz5vormjbqq69/lu56pVNXNa88C0Xz5g36xh3P1tMuuchc9+8/eUxff/CJkvQbIBwDAFBkGcspXuuvmnKK+XlDb/7yz/Teb/0qZf3NT96uyF8/T7c87dK89rd1Y50+84obVZM0uPyWL/9MZ2fmitFdIAXhGACAIjv6pb/X+UO/NJebnvNn2nrji8vYo7UzMzev13zhJxr8wUMp63v/4En6xh036eKLCpuOrfMqu/7iubvM5Ynjp/XZ8UdX01UgI8IxAABFtFBOkTQ7RdNlVVNOMT9v6M+/cJ8+H3nMXFdjk4a6nqEP/snTVFe7utjx3j+6Vts215vLH//hQzIyTX0BrALhGACAIlksp5g3113+5wHVXtRSxl6tDcMw9LavPqC7f7IYjDfU1mj41R16/U1XFeUYTZvq9bpnLe7rvsen9eOH40XZN5BAOAYAoEiO/se7l5RT3F415RQf+s6EPvy9qLm8obZG//n6Z+nlN1xe1OP0PPvqlOVP/Pjhou4fIBwDAFAEp3/zIx3/RtLsFE2X6bJXfaSMPVo7d40/It/XHjSXbTbpc6+8Ue6nXFz0Y7Vu3yL3U7aby8P3P6ZTSbNhAKtFOAYAYJXmz59NL6d4rb8qyim++Ysjev3++1PW/fNLr5fnGTtKdszXdFxpfn3y3Jy++NNDJTsWqg/hGACAVVoop/iFudz0nNu11fmSMvZobYw+HFfXZ8c0O794Udw7bn6y9v7urmW2Wr2X3XC5mjYu3uT3np8fLunxUF0IxwAArMJCOcWHzOXapkuropziF0dO6E8++WOdOr841/DrnnWV3vfCa0t+7E31tXrhUy8xl78XjTFrBYqGcAwAQIEylVPsqIJyioPHT8vt/5GOnTpvrnvR0y7Vx2+7Ie020KXyPMc28+tjp87rwSdOLtMayB3hGACAAh398ntSyyl+51Xa6ry1jD0qvUfjZ+Ty/68emzprrvudq5v1hT9zrnoe43wkh2NJ+m70+JodG9ZGOAYAoACnJ36s41+/01yubbpUl95u7XKKh2Kn9fyP/VAHY6fNdc/c0aiv3XGTNm+oW2bL4mu79CJt37LBXP4e4RhFQjgGACBP2cop6i7atsxW69tvjp3S7y8Jxk+95CL9V8+zZd9Uv8yWpWGz2fQ8x2L5yveix6k7RlEQjgEAyNPRL79H5x9fnNe38Xdeaelyip8dmtbvf+yHejh+xlz31EsuUtj7O7r4ooay9Su5tOLQ9Dn95tipsvUF1kE4BgAgD2cm7k0rp7js9n8uY49K6/vR43rex36ox6cXa4xvuHyrvvPG52hH08Yy9iy97viHD02WqSewEsIxAAA5mj9/Vo994rWpN/t4zcctW07x5Z8d0h8FfqT4mRlz3Y1XNOq/3/AcXbK1fCPGCddftlWb62vN5dFH4uXrDCyDcAwAQI6Ofvm9qeUUz/5TNba/tHwdKhHDMPSh70zotn8b07nZxTcCv9+6Tf/9hudoW9KFcOVUV1sj584mc3mMcIwiIBwDAJCDM9FRHf/6gLlc23iJLvuzfyljj0rj/Oy8Xj98v3q/+oCSr2/zPP1yfaP7JjWV4eK75dx4xWI4fuDICS7Kw6qt7bwrAACsQ/Pnz+rxoddavpziyIlz2n3XmL4XjaWs/8vn7tI/veQ61daszQ0+8nHtxReZX588N6fDJ87p8sby1kJjfSMcAwCwgqNf+Qede/wBc7nx2X+qxo6XlbFHxfej306q67NjKTf3qK2x6V9eer3e8JxrytexFTz54i0py78+eopwjFWhrAIAgGWciY7q+Nf6zeXaxkssNTuFYRga/MFBPf9jP0gJxvZN9fpm900VHYwl6cnbl4RjpnPDKjFyDABAFvMz5zKUU/yr6rZuL1+nimjqzIze+MX/0xfuezxlfdulF+lLr+3UU5JKFirVlfZN2lBbo/NzC78jwjFWi3AMAEAWx5aWU9z0CjV2vLyMPSqeH/12Uq/83LgemjyTsv5Pb7xCfs/TdVHD+ogItTU2tW7brAePnJQk/froyTL3COvd+njmAwCwxs4cHNOxpeUUFpidYnZuXv3f/o3e861faW5+cWaHuhqbPvTiNv3lc3fJZqu8C++W85SLtyyGY0aOsUqEYwAAljDLKebnzHVWKKd48IkT+vMv3Kd7l8wHvKtls+5+lVM3Xd1cno6t0pO2XyTpCUnSb46d0vy8oZoKnFkD6wPhGACAJY595R907rGfm8uNN+1Z1+UUc/OG/um7E/r7//plyk09JOmVN16hj912gxo3Vtb8xflInrHi7Oy8Hps+qyvtm8rYI6xnhGMAAJKklVNsvViX/dlHy9ij1fm/x6flDd2vHz8cT1nftLFOH3np9fqz9p3rroxiqbQZK46eIhyjYIRjAAAusFI5xalzs3rPt36lD38/mlJbLEkvvPZiBbqeoZ0WCZBLw/Gvjp7UHz55/f3OUBkIxwAAXHDsK+9LLad41m41dt5Wxh7lzzAMfeXnh/VXX/65Ho6nzkSxtaFO//SS6/S6Z1257keLk+1o3KjN9bU6PbPwpuY3x7koD4UrWTh+6KGHFI1GFY/HNTExoVgsJq/Xq2uuuaZUhwQAoGBnDo7r2Nc+aC6vx3KKnx6a1lvv+bkO/PpY2vdeev1l+shLr7dkuUFNjU1X2jfql0cXQvGh6XNl7hHWs5KFY5fLpcnJSfX398vj8WjXrl2lOhQAAKsyP3NOj3/itUvKKT6musaLy9epPBw9eU5//1+/1NCPfqslFRS60r5R//KyG/SS6y4rT+fWyOWNyeH47AqtgexKWlYxPDysm2++uZSHAABg1Y7d8/907tGfmcsL5RSeMvYoN9NnZ/SP343q//vehE6em0v5Xl2NTW/5PYfe/UdPWTc39FiNyxs3ml8TjrEaJTtb7HZ7wcH4oYceovwCALAmzhwc17Gv9pnLtVu3V3w5xZmZOX3sBw/pg//9ax0/PZP2/Re3Xao7X9y2Lm7/XCyXbW0wvz50grIKFK5k4bilpaXgbX0+n/bv31/E3gAAkM6YPZ9eTvHqyi2nOH1+VkM/flgf+s6EHptKHx297tKt+qdbr5P7KZXZ/1JKDsfTZ2d1+vysNm+w/og5iq9kz5rm5sLvshOPx4vXEQAAsjj6lfelllN0dqnxWV1l7FFm02dn9LEfPqT/77tRHT11Pu37Vzdv0nv+6Frd3r5TtVV6Z7jksgpJOnzinBzbCMfIX8meNdFoVPfff7+ampry2m5yclJjY2Ml6hUAAAvOPBRJL6d4dWWVUzw2dUYf++FD+tcf/lbxM+nlE5dubdA7b36yup99lRrqasvQw8pxyUUbUpaPnTovx7YtWVoD2ZUsHE9OTsrpdJZq9wAAFMyYPZ9+s49Xf0x1jZeUr1NJ7n14Uv/8/YMavv9xzS6dfkILQfCtz2/V3udcoy1VcLFdLrZvSQ/HQCFKekbdeOONedceHz9+XPfdd19pOgQAgKSj9/w/nXv0p+by1k5P2cspzs7M6T9+dliDPzioHz40mbHNzqaNevsfPEl33HSVNtVX90jxUoRjFEvJwrHD4dC3vvWtgrbt6Ogocm8AAFhw5qGIjv3nB8zl2q3bdfmrB8vWnwcOn9DQj3+ru8YfVSzDzBOS1HbpRfrr57Xqz9p3akNdzRr3cH0gHKNYKvKCPIfDUcSeAACwYGF2ij9PKae47M8G17ycYurMjL7400P61L0PZx0llqRbnnqJ3vI8h1xP3m6p2z2XwuYNddpUX6MzM/OSpOOnCccoTMnC8WpmnCAcAwBK4eg979e5R/7PXN7acdualVOcm53T1x88orsjj+mrDz6hc7PzGdtd1FCr25079Zbfc+jaS6pnnuJi2L5lgx6JL0xxx8gxClXS2SoK9cEPfnDlRgAA5OHMb3+iY19NKqe4aJsuf83HSjoie252TuFfHdOXfnZI//HTwxlnnEi46Sq77rjpau155o6quKNdKSSH4+OEYxSoZGefYRh6xzveoQ984AMrNwYAoITM2SnmZs11l726NOUUJ8/N6hu/OKL/+Okhfe3BIzpxbjZr25bN9frTG69Q901X6+k7Govel2qTXHfMyDEKVbJwvGvXLn384x/XyMiIXC6XWltbtXv3bjU2cvIDANbW0f/8QIZyit1F2bdhGPrV0VP65i+P6Ju/OKLvTBzPWjIhSRvravSS6y7TK51X6IXXXsIFdkW0fcviXfIIxyhUycLxyMhIyvLU1BTBGACw5s7+9j4d+8/3m8u1F23T5a8eXFU5xfTZGX134ri+8Ysj+q9fHtXB2Oll29fX2vSHT9quPc+8Qi+/4TI1bqwv+NjIbhsjxyiCNStqyvdOeQAArJYxe16PfeK16eUUTZfmtZ+pMzP6/sGYvjtxXN+dOKbIY1PKcG+OFJvqa/THT71EL7vhcr3oaZeqaROBuNS2b14Mx8dPz2h+3lBNld5OG4Vb84r/T3ziE3K5XLrmmmvW+tAAgCpz9D8/oHMP328ub+14+YrlFIZh6JH4Gf344bj+97eT+t7Ecd33+MphWJKuaNqoF1x7if7kaZfoBdderM0buLBuLSXXHM/NG5o6O6PmzRuW2QJIt+Zn7a5du/TBD35QBw8elNfr1ctf/vK17kJWgUDA/HpiYkL79u2T3W4vX4cAAAXLXE6RPjvFibOzGn80rh89PKl7H47rxw9P6tD0uZyOUV9r03OvadELn3qJXvjUS3T9ZVuZj7iMMt0IhHCMfBU1HO/Zs0fxeFxut1sul0vPfOYz09rcfPPNuvnmmyVJd955pz7xiU/ojjvuKGY3ChIKhTQyMqJgMChpYZ7mm2++WePj42XuGQAgX8bsTFo5xaW3f1SPz2/V/T8/rPsPTev+x6Z1/6Fp/ebYqZz3W2OT2nfa9fzWbXq+Y5ue59imrRsZHa4US8Px0VPn9eSLy9QZrFtFPaPHxsZ08OBBhcNhSZLdbpfL5TLD8tJSire//e3as2dPRYTjvr4+DQ0Nmct2u10tLS0Kh8NyuVxl7BkAIB+GYehnoTs1dsjQwY1/rGjtTkWbO/TLr9s1+cUDee2rrsYm5xVNen7rNv1+6zb97q4WLqarYC2bU383y80rDWRT1HA8MTGhL37xi/rWt76lYDCoyclJBYNBhUIhSalhuaOjQ7FYbFU3CymWeDyuSCSSdmc+h8OhYDBIOAaACmMYhibPzOhg7LSix0/rN8dO6ZdHTurBIyf1i8NTOjFzg2S/YXGDc5K0clC6pnmTbrq6Wc+6yq6brmrWjVc0aVN9bcl+DhSXfRPhGKtX9M+CbrvtNt12223y+/3mKPLIyIjC4XBaWJak/v7+go8Vj8fl8/lkt9uX3U+iD62treZtrXt7e83vJwL60vpiu92uSCRScP8AAIUxDEPTZ2f12NRZPRw/o+jx0zoYO62DsVPm11Nns99cIxet2zbrGTsa9YwdTXrmjkY966pmXbq1YeUNUbHSw/HqniOoTiUtlNq1a5e6u7vV3d0tSfrJT36icDisb33rWzpw4IACgUBBJRU+n0/RaFSdnZ0rlj2EQiHt37/frCWWFsKy2+0252KOxWJZt1/uewCA/J2fndexU+d16MRZPTZ1Vo/Gz+qx6TN6LH5Wj02f1aPxM3ps+qxOnpsryvG2NtTpaZdcpKfvaNQzdjTqmTuadMPlWymPsKDGhjrZbJJxYWaR+FlGjpG/Nb2K4MYbb9SNN96ot7/97QqHwzpwIL/ar4TkUeL9+/dnbRePx9Xd3a2DBw+mrHe5XPL5fAoEAurp6Ulpz+wUAJA7wzB0+vycJs/MaPLMjI6dOq+jJ8/ryMlzF/6d17FTC/8nlkv1UffOi2p15eS4ds08Isfco2qtn9Yf+O7WlTuvZAaJKlFTY1NjQ535qQJlFShE2S6xdblcmpqaKulsFcPDw3I4HBkD7549e+T3+9XT06OWlpaM28fj8azfA4D1zjAMnZmZ08lzczpxblYnz88ufn1uVvGzM4qfmdXkmfOaPD2j+JmFf4kgPHl6RvGzM5qZy2EC4CLYVF8jR8sW7WrZrF3bNsuxbbN2tWyWo2Wzrmmq15EP/q7Oxn9itr/itZ9X05VXrUnfUDnsm+oJx1iVss4/c9ttt+kFL3hBycJxMBjMGm4dDocikYji8bh5IV4sFksJ0rFYTE6nsyR9A4Bs5ucNnZ+b15mZOZ2dXfj/zExiefHrMzNzOpv4ejbp65nUbU+emzUD70IIXgzAudzYYi1sqK3RFU0btbNpo65o2qgdTRu1s2mTuc6xbYsuuWhD1hHgo195n87+djEYb3W+VI3P/tO16j4qiH1TvX47eUbSwp0NgXwVPRzv27dP4XBYnZ2d6unpyTjXcbJSljGMjY1p9+7Md0JKBOJoNCqn0ymn06loNJoyY0U0GpXX683pWDNz85qZm8/4PWOFPz6Glm+w8vYrM1bYyWqPsdL2C/sodR9W2P8K2+fWh1X+DDk9TivtY3U/52p/xtz2sdL2q3scJWnekOYMQ7Pz85qbX7gb1pxhLPy/7Ne5ttXCvg1j2f2fn5vX+TlDM3PzOj83r9m5hXUzc/M6P5v09dy8ZuYS7Re/Tl23sK+5Skmsq1Rfa9MlFzXo4i0bdMlFDbrkog3afuH/heUGMwxv35I9+K7k7MP/p6NfeZ+5XLulRZe/5l8ppahSTUnzTlNzjEIUNRy/4Q1vMO8yNz4+Lr/fr9bWVnm9Xt12220ZbxldyqnccqkhToTjffv2pUzblpjVItdp3Lbv+4rUsDn9G7Ya2eoWJyU3Zs4usxebbPUNBbY9p+yRpFRtJVv9xsLazp6XjMxvJvJtq7oG84+gMTsjGctcxJNX2w2y2WoW2s7NSPNFaltbL1tNbQFtZ6X5Za68LrTt/Jw0t8wfkJo62WrrStC2Vrba+vzbGvPS7PnitLXVylaXaGtIs8vcFS2vtnmc9+vgNWKjbV6N9fOy182rsd7Qts11aqqfV1P9vLbMn1Vj3aya6ubVWDev5vo5bd8wr20b5rS1bl4XbVrc75lz5zVvGNJJLfxLrJf0iKQtGxfbnj0/o7n57Oe92XZ+To/d06/zSSFoh+dOnavfqnOnFm7usXnzZvO8P3funGZns58b+bTdtGmTamoWzvvz589rZib7czifths3blRtbW3ebWdmZnT+fPbne0NDg+rq6vJuOzs7q3Pnsj/fN2zYoPr6+rzbzs3N6ezZ7M/h+vp6bdiwIe+2TQ215rlxbHJap06dytp2fn5eZ86cybrfuro6NTQsPNcMw9Dp06eL0ra2tlYbNy7+nVvax0Lb1tTUaNOmTQW1PX36dNaBC5vNps2bNxfU9syZM5pf7lzesqWgtmfPntXcXPa/n0vbLvdYpDGKqL293YjH40YkEjF6e3uN5uZmw2azGTU1NUZNTY3xpCc9yXjDG95g3Hnnncbf/u3fmsur4XQ6jZ6enozfk2T09vZm/N7ExIQhyfD7/eY6v99v+P1+IxgMGr29vcbk5OSKx5+amjK08Fck879dHYbtb+4x/6muIXvbndentt3UmL3tpU9Kbdt4Sfa2265MbbvtyuxtGy9JbXvpk7K33dSY2nbn9dnb1jWktt3VsezjltL2Kc9Z/jF+8/Bi2+v+cPm2b7xrse0zblm+7R1Di207XrZ829d8dLHt77xi+bav+sfFts977fJtd79/se0fepdv+7K/W2z7grcs3/ZFvYttX9S7fNsXvGWx7cv+bvm2f+hdbLv7/cu3fd5rF9u+6h+Xb/s7r1hs+5qPLt+242WLbe8YWr7tM25ZbPvGu5Zve90fLrZ98/DybZ/ynNTn8HJtS/QaUXfpNcaVfxUwnvSWjxrPePOdRsNWe9a2FzdvMe7s/j1j8I4O4zOvv87Yaa/P2nbHFhk/f/Xiv+u2Zf/ZmhtS23Zemr3tprrUts+7YpnHTKlt/+jq5duePHnSfM1+zWtes2zbI0eOmG3f9KY3Ldv24MGDZtu3ve1ty7b92c9+ZrZ997vfvWzbe++912w7MDCwbNtvf/vbZtuPfnT5c+OrX/2q2fbTn/70sm2Hh4fNtsPDyz/fP/3pT5ttv/rVry7b9qMf/ajZ9tvf/vaybQcGBsy2995777Jt3/3ud5ttX9S/fH/f9ra3mW0PHjy4bNs3velNZtsjR44s2/Y1r3mN2fbkyZPLtvV4PClZYrm2t9xyS0rbzZs3Z237/Oc/P6Xt9u3bs7bt6OhIaXv11VdnbdvW1pbStq2tLWvbq6++OqVtR0f2v/fbt29Pafv85z8/a9vNmzentL3lluX/hp89e9aYmpoypqamjFtvvdVcPzU1ZaykqCPHDodDTU1N5qwU/f39OnDggD7+8Y/ri1/8oiYmJjQxMZHSfjXzHBdb8swVHo+njD0BUKlqjTnZjJllbydx0fxpXTPza9VpVvXGrEaXabtj7gm5T39Z9ZpVnTGnT2hW2cYqnzJ7UO+K/602GOe10TivV8+f0HSWttfOPqTh2OJrmnteejxL28b5U7rl3PfN5QZjmQ4DFW5DbU25u4AK0NfXp/e+970FbWu78I6lKIaGhmSz2bJeYHfgwAHzphpOp1M333zzqo/Z3t6ujo4O+f3+tO/ZbDb19vZmDOCRSETt7e0KBoOrCsLT09NqamqS9/YXqGFD+pyZNTab6upqlah8Oz+T+c+eTYZsNpvq6xbvxJTc1qbUX9PStrMzs8r2i7RJqq+vky60mMnS1iZDNtlUn3Q3qJnZOfOjE1uGp8qG+sX3V7NJbTPZUF9n/hyzs3MLH69m6EOm/WZqm1BfV2t+DDo3N7fsRzIb6mrMtrNz8xnbJn5XdXW1qsnQdunvIr3tnOaXqRmtr61RTU3yfrM/DnVJbefm5zU3l/13UVtrU+2Fj23n5+fMtpnUJbVN3u+ixeXaLG0zPQ7JbY15Q7NZ6vAlqbZm4edb6G962+T919TYFtsahmZn52WTZNOcao151WpeNZpTreZVbzPUUCvVaF42Y06zM3MXvn+hnTGv2qS2G2sN1WpONmNOMzNJ7TSvWmNxub5mXhtrDdkkGYa03L0FamukhqSbqp1eJknn07bGJiWVU+bV9sysstZy22zSpgLbnp3Vshf1Jd/NN5+25+akZZ4+aW3rdz5dl93+L9q0qz29LWUVkqqnrGJv6H597Pu/kiRdvrVBv953c9a2lFVYt6yirq7OfC6ePXtW8Xhc1157raamptTY2Jh1O6nINcfd3d2688479cY3vlH9/f1pB7/55puLEogr0Qf/6TMrPtgAgBKw1ahmw8aV22kh9CUCTDHbbtiwwQxc5WpbX19vBs9itq2rqzODcjHb1tbWpoSdYrXd1FBnXrdyvqZ+2e1qampy3q/NZitJW0kV0TY50BazbXIAL2bb5DcM2STO38bGxpzaJxR9toq3v/3t+slPfqI77rhDNptt2Zt0lJrD4ch6wV/iznfJs1OsRk3DZtVkuiAPAACsmY1Jn6qenVnm4wcgi5LMc3zjjTdqeHi4FLvOi9PpNGedWCoRmpnHGAAA69hYv1hzfPZCuR/T+iEflq5ad7vdWUeOJyYmcp6mDQAArA8NSRfkzRvSrEXmDcfasXQ43r17t2KxWMaAHAqFcr7BBwAAWB82Jl1ULlFagfyt+3Acj8fN+uGl7Ha7hoaG5PP5UtaHQiE5HA6mawMAwGI21qVGm3PLzGgAZFKSmuNSGxgY0OjoqKLRqPnP7XbLbrdrz549KaHX4/HIbrfL5/OptbXVrEEeGRkpU+8BAECpJNccS4wcI3/rMhz39vbm1d7lclFfDABAFUierUKSzs4SjpGfdV9WAQAAkLC0rOLsDGUVyA/hGAAAWEbD0nDMyDHyRDgGAACWkV5Wwcgx8kM4BgAAlrH0grxzjBwjT4RjAABgGWkjx8xWgTwRjouks7NTbW1tGhwcLHdXAACoWmlTuVFWUdUGBwfV1tamzs7OnLdZl1O5VaLR0VE1NjaWuxsAAFS1tNkqKKuoanv37tXevXs1PT2tpqamnLZh5BgAAFgGZRVYLcIxAACwjPSp3CirQH4IxwAAwDKYrQKrRTgGAACWsaGWmmOsDuEYAABYhs1mS7koj9tHI1+EYwAAYCkb6xcvymPkGPkiHAMAAEtJGTkmHCNPhGMAAGApyTNWnGO2CuSJcAwAACwleeT4HPMcI0+EYwAAYCnUHGM1CMcAAMBSUmuOKatAfgjHAADAUpJvIc3to5EvwjEAALCU5LvkMXKMfBGOAQCApaRckEfNMfJEOC6Szs5OtbW1aXBwsNxdAQCgqjXUcUEeFgwODqqtrU2dnZ05b1NXwv5UldHRUTU2Npa7GwAAVD1uH42EvXv3au/evZqenlZTU1NO2zByDAAALKWhnjvkoXCEYwAAYCkbKavAKhCOAQCApVBWgdUgHAMAAEvZkBSOz88xcoz8EI4BAIClNDCVG1aBcAwAACxlQ+1ivJk3pLl5o4y9wXpDOAYAAJaSHI4lSiuQH8IxAACwlLRwTGkF8kA4BgAAlpJccyxRd4z8EI4BAIClbKizpSxTVoF8EI4BAIClUHOM1SAcAwAASyEcYzUIxwAAwFKoOcZqEI4BAIClpM9WwTzHyB3hGAAAWAplFVgNwjEAALCUDXWEYxSOcFwknZ2damtr0+DgYLm7AgBAVdtQmzqVGzXH1WtwcFBtbW3q7OzMeZu6EvanqoyOjqqxsbHc3QAAoOo11NWmLDNyXL327t2rvXv3anp6Wk1NTTltw8gxAACwlKUjx9w+GvkgHAMAAEvhgjysBuEYAABYytIL8qg5Rj4IxwAAwFKW3gSEkWPkg3AMAAAsJb2sgpuAIHeEYwAAYClLwzFlFcgH4RgAAFhK/dLZKiirQB4IxwAAwFJsNltKQGbkGPkgHAMAAMupr1mMOLPzhGPkjnAMAAAspy5p5JiqCuSDcAwAACynrmYxHDNyjHwQjgEAgOXU2pLDMVO5IXeEYwAAYDnJZRWzzHOMPBCOAQCA5SSXVcwZhGPkjnAMAAAsh7IKFIpwDAAALKcu6S55c5RVIA+EYwAAYDmUVaBQhGMAAGA5lFWgUIRjAABgOamzVTDPMXJHOC6Szs5OtbW1aXBwsNxdAQCg6lFWAUkaHBxUW1ubOjs7c96mroT9qSqjo6NqbGwsdzcAAIAoq8CCvXv3au/evZqenlZTU1NO2zByDAAALIebgKBQhGMAAGA5lFWgUIRjAABgOXU1ixGHsgrkg3AMAAAsJ+keIJRVIC+EYwAAYDnJI8eUVSAfhGMAAGA5yTXHlFUgH4RjAABgObU13AQEhSEcAwAAy2G2ChSKcAwAACyHsgoUinAMAAAsJ7WsgnCM3BGOAQCA5TByjEIRjgEAgOXUMpUbCkQ4BgAAlsNNQFAowjEAALAcbh+NQhGOAQCA5TCVGwpFOAYAAJbDTUBQKMIxAACwHGarQKEIxwAAwHIoq0ChCMcAAMByuAkICkU4BgAAlkNZBQpFOAYAAJZDWQUKRTgGAACWkzzPsWFI84weI0eE4yLp7OxUW1ubBgcHy90VAACqXnLNsURpRbUaHBxUW1ubOjs7c96mroT9qSqjo6NqbGwsdzcAAIBSyyokSiuq1d69e7V3715NT0+rqakpp20YOQYAAJazNBwzYwVyRTgGAACWk15WwV3ykBvCMQAAsJyl4ZiyCuSKcAwAACyn1pYajhk4Rq4IxwAAwHKWDBxrnpFj5IhwDAAALKfGRlkFCkM4BgAAllOzJOEwzTFyRTgGAACWk15zTDpGbgjHAADAcpaWVZCNkSvCMQAAsBxqjlEowjEAALCc2rSaY8IxckM4BgAAlpNeVkE4Rm4IxwAAwHLSyiq4CQhyRDgGAACWw01AUCjCMQAAsJzaGsoqUBjCMQAAsBymckOhCMcAAMBylpZVzJGOkSPCMQAAsBzKKlAowjEAALAcyipQKMIxAACwHGarQKEIxwAAwHLS5zkmHCM3hGMAAGA51ByjUIRjAABgOdQco1CEYwAAYDlM5YZCEY4BAIDlUFaBQhGOAQCA5VBWgUIRjgEAgOUwlRsKRTgGAACWw1RuKBThGAAAWE4tZRUoEOG4SDo7O9XW1qbBwcFydwUAgKpXsyThUFZRnQYHB9XW1qbOzs6ct6krYX+qyujoqBobG8vdDQAAIMoqsGDv3r3au3evpqen1dTUlNM2jBwDAADLYbYKFIpwDAAALCe95ph0jNwQjgEAgOUwlRsKRTgGAACWU7MkHc8RjpEjwjEAALCctLKK+TJ1BOsO4RgAAFgOZRUoFOEYAABYTtpUboRj5IhwDAAALCf9JiDl6QfWH8IxAACwnPSaY9IxckM4BgAAlsNNQFAowjEAALAcao5RKMIxAACwnNq0mmPCMXJDOAYAAJaTXlZBOEZuCMcAAMBy0sIxNwFBjgjHAADAcpbeBISaY+SKcAwAACyntoayChSGcAwAACzHxlRuKBDhGAAAWFLy4PEc6Rg5IhwDAABLSi6toKwCuSIcAwAAS0qesYKBY+SKcAwAACwpuayCkWPkinAMAAAsKXnkmJpj5IpwDAAALCm15riMHcG6QjgGAACWlFpzTDpGbgjHAADAkpjKDYUgHAMAAEti5BiFIBwDAABLouYYhSAcAwAAS2IqNxSCcAwAACyJqdxQCMIxAACwpFrukIcCEI4BAIAlUVaBQhCOAQCAJdVwQR4KQDgGAACWlDKVG+kYOSIcAwAAS6qlrAIFIBwDAABLsnETEBSAcAwAACwpaeBYRGPkinAMAAAsKbnmmIFj5IpwXCSdnZ1qa2vT4OBgubsCAAAk2ag5rnqDg4Nqa2tTZ2dnztvUlbA/VWV0dFSNjY3l7gYAALggORwTjavT3r17tXfvXk1PT6upqSmnbRg5BgAAlmQTZRXIH+EYAABYUsrIMekYOSIcAwAAS2K2ChSCcAwAACwpdeS4fP3A+kI4BgAAlpRSc8zYMXJEOAYAAJbEyDEKQTgGAACWlHITkDL2A+sL4RgAAFhSygV5DB0jR4RjAABgSdwEBIUgHAMAAEuyJaXj+fkydgTrCuEYAABYUuo8x4wdIzeEYwAAYEnMVoFCEI4BAIAlcYc8FIJwDAAALCm55pjZKpArwjEqTjgcVnNzs6LRaMH7iMfjisfjxesUclaM3x9gdaFQSD6fT4FAQIFAQAMDA6vaX7bzrtpfCyt55JjXyspVV+4OAEu1tLTI4XCopaWl4H2MjY2ppaVFTqeziD1DLorx+wOsbGBgQKOjowoGg5IWAuyuXbvkcDjk8XgK2me2867aXwtTbgJSYemY18rKxcgxKo7T6dT4+LjsdnvB+0j80cHaK8bvD7Cyvr4+eb1ec9lut6unp0cul6vgfWY776r9tTB1nuPKSse8VlYuwjEsJxwOKxAIlLsbVaWaP7YF8hWPx+VwOFLW9ff3Fz0k8Vq49A55ZeuGidfK9YGyinVkbm5Ow8PDuvPOO3XHHXfoTW96U7m7pHA4LJ/Pp0gkopGREUUiEUnSxMSE7Ha7+vv707aJRCLav3+/WltbJS28WPT29kqSotGovF6vxsbGFAwG5XK5FIlE1N3drWg0qgMHDpj1WaOjo5KUcoxwOGyOlPT19Zl/gDL1I1koFFIsFlNLS4tisZjGx8fV1dVljuQs1+dIJCKfz6exsTENDQ3J4/EoHo+ru7tb4XBYPT095vGTH6+JiQmFQiGNjo7K7Xarp6fH3J/f71d7e7vi8bg5qrT0cY9EIrLb7RofH5fX613xY9Ncjr3SfgOBgCYmJrRt2zZNTEyovb1dLS0t6uvr0/j4eF6/v5GREUmS3+9XOBxWNBpVPB7X6OiohoaG0oJCIT8zUEnC4bD5vPf5fHI4HIrH44pGoxobG9O+fftSXldyfd3LdN7l8lpYyDm13l4rJ38xJuMnEWnjFj1w72OKdP49r5UVwjAMPec5z1Fra6ve9a536alPfWq5u7TIwKpMTU0ZkoypqamSHWN2dta4++67jac+9amGJOOWW24xJiYmSna8fE1OThqSDI/Hk7K+p6fHcLlcKetGRkbS1gWDwbRtJRkjIyNp63p6eozJyUlznd1uN4LBYFqfJBnj4+M59X9iYsLo6elJWdff328eP58+L+2Ly+Uyent7U9YlHq/+/n7DMAyjt7fXPP7IyIjhcDhS2vf29hp+vz/l2E6nM6WN3W7P6Tmx3LFX2u/S7/v9fvNxWXrsfH5/vb29Kb8rj8eT9vtYzc8MVJpMr08Oh8M8L5e2zed1L9N5l+m1sJBzaj2+Vm696lrD9jf3GLa/uce4+V9/yGtlhbnrrruMnTt3GjU1NcarXvUq48EHHyzZsfLJa5RVVLC5uTn9+7//u66//nq98pWvVGtrq3784x/ra1/7WtpHcuWUeNeaXEMnLYxQhMNhhUIhc53X65XP50tp5/F40tpl+njRbreb/xI6OjrMkZRCRSKRtKuFky+KWW2fV1rX398vv9+f9VjhcDjlo7ju7m7t27cvpc3u3btXHB1f6dgr7dfv96fURCZGpzJ9RJzP7y8cDqeManR2dmpsbCxl29X8zMB6kK2kIp/XvXzKMgo5p9bja+WuF/yZuTxvGLxWVpjbb79dv/nNb/TRj35U3/3ud3Xdddfp9ttv1y9+8Yuy9ouyigo0OzurT33qU/rQhz6kX//613K73frIRz6iG2+8UZJ09OjRNe/T5s2btWXLlmXbLL3i1m63y+FwaGRkRB6Px3xh7ejoSNvW5XJp//79K16p3dnZmXaM1XK5XOru7lZra6s8Ho/cbrdcLpccDkdR+pzN0o+5otFoxmONj4+bX0ciEcXj8bRt29vbzRfuQo5drP2uJNPvb6U/FmvVN6BSFft1r9Bzaj2+Vl5/9bXS5MI6w+C1MptYLKa5ubnCO7xKHo9HL37xi3X33XfrIx/5iO6++2697GUv0zvf+c6ylIQQjivQa1/7Wn3+8583l0dGRsyao3K56KKLdPToUW3cuDGv7RwOhznSkHiHm+2FvdRzPba3t5s10Qnj4+NyOp06ePCgfD6fQqGQBgYG5HA4ND4+XtI+L30zkdjXcn/4Ev0Jh8Mp27e0tOQ1MpBpuqeV9tvV1ZXyAhsOh+VyuVb9h3ql7Yv1MwNYsNI5ZaXXytiDYzKmF9YdiV+klhc+ldfKJe655x7deuutq+pbKXzpS1/Sl770JR07dkzbtm1b02MTjitQX1+fpqen9c1vflMbNmzQrbfeqhe96EUrjtyW0qWXXpp3MJYWXsQSHy8l3vUmLpxYqlSlIolRhuRRhWSRSEROp9N8MUtcKNHX1ye3272qPudzZXJiX9FoNOt+E+sTozXFkst+XS6XxsfH5fP51NraqvHx8TWZJqpUPzNQbRKvhSudU1Z6rdze1ilbbMPC17ta5PH8bs7HWW6/VnqtfMELXqCvfe1rmp2dLVXXcjYxMaEvfOELuvfee7Vjxw698Y1vXPNgLBGOK9KVV16pe+65R48//rhZ5/T1r39db33rW/XmN79ZTU1N5e5iRrFYLGU5cRV2V1eXJJnvnMPhcNrHa+FwuKSjgMtNsh6NRhWLxVJCvN/vl9frNadXKrTP0Wg054+EHA6H+fHk0vlOEyMPiccwEomkvfgl2hQil/2GQqGSTDdVjL4ByE3ihiCFnFPr8bVy+uFfShfdIGnxDnm8VqZqaGjQLbfcshZdzCoSiei9732v7rnnHj35yU/WXXfdpVe84hWqqytPTOWCvAq2Y8cOfeQjH1E0GtWrX/1qvf/979c111yj973vfTp58mS5u5dm6Tvj7u5ueTyelBNyaGhIfX19Ke0CgYA6OjrSpuDJZSQh261RnU6n+RFTYrRjOUtfuKPRqDkSkmufOzo6Uj46THwsmc+IiN/vV19fX8o2Sz+OHBoaSrsQJTG1z2rkst985kwt9PeXaV2pfmZgPVrultBL12d7LSz0nFpvr5W/+tLHzGXDMHitrDD33Xefbr31VrW3t+vBBx/UXXfdpQceeEC333572YKxJKZyW621mMot4bHHHjPe/OY3Gw0NDcYHPvCBkh8vH7owNU/iX29vb8ZpiQzDMMbHx80pd/r7+1PajY+PGz09PYYkw+l0GsFgMG2d3+83Jicnjd7eXsNutxt2uz1tOpvx8XHD5XIZ/f39Gac8ShYMBs2++P1+8+tc+5wwMTFheDwecx8jIyOGx+Mx7Ha7OZVRYl3iZ1k6dVHyY5Do+9JpfpLbJI610s+Y77Ez7XdyctKw2+2GFgZgDEmGw+FI2U8hv7/kffT39xsOh8Ocyih5+qFCfmagkiSfgy6XywgGg8bk5KR5fiSfC/m87mU67xKWey3M95xaj6+Vv/d3nzH09BcYcr/JaH3F23mtrCDz8/PGVVddZTz5yU827rrrLmNmZqakx8snr9kMoxLuGbN+TU9Pq6mpSVNTU2psbFyTY05NTamhoaGgGuBSsdls5gUbsJ54PK6uri719/ebv+NE2UziZgbMHAGg0rzkk/fqqw8+IUn6naub9YO/fG5Jj8drZX6OHz+upqamNRklzievUXO8DlVqzTGsa3h4WE6nM+XNj91uNy/OSXysCgCVxJZ0/+i1GAnktTI/5bjYLhfUHKNoll6QB+tITGKfSSgUKnj+UgAopZRwvAYflPNaaQ2MHGNVwuGw+RFRf3+/otFo2oV1WP8cDoeCwaA5NVHCxMSEOjs71dvbW8beAUBmSdlYa1FEymulNVBzvErlqDkGAAAre/lnRvXlnx2WJHXsbNK9f/W8MvcI5ZJPXqOsAgAAWFLKyHHZeoH1hnAMAAAsKbXmuHz9wPpCOAYAAJZUk5SODcaOkSPCMQAAsKS1viAP1kA4BgAAlmRLGTkGckM4BgAAlkTNMQpBOAYAAJaUOlsF6Ri5IRwDAABLSimrIBsjR4RjAABgSVyQh0IQjgEAgCWl1BxTVoEcEY4BAIAlJY8cz5ONkSPCMQAAsKSUm4BQV4EcEY4BAIAlpZZVALkhHAMAAEuyidkqkD/CMQAAsCZGjlEAwjEAALCk1DvkEY+RG8LxKp07dy7lfwD5OXfunN7znvdwDgEF4PxZXkpZRRn7gfWFcLxKhGNgdc6dO6f3vve9nENAATh/lpc6cly+fmB9IRxjVQYHB8vdhTRr1adiH2e1+yt0+3y3y6d9JT4/KkklPj7Vev4Uuo9SblOJz49Kksvjk3qHvNKnY86f0m+3JuePgVV55JFHDEnGI488Uu6ulMXTnva0cnchzVr1qdjHWe3+Ct0+3+3yaZ9L26mpKUOSMTU1lVc/rIDzp7L2V8g+SrkN58/ycnl8eoL3Gba/ucew/c09xjX/b6Qi+lSJxynX+VPIdoWeP/mcK3WFx2pIi+9ET5w4oenp6TL3Zu3Nzc1V3M+9Vn0q9nFWu79Ct893u3za59I28f1Kex6tBc6fyjl/Ct1HKbfh/FleLo/P7JlTMs6dXmh/Zr7kjxPnT+X8DVraLvG1kcMnCDYjl1bIKhqNqrW1tdzdAAAAwAoeeeQR7dy5c9k2hONVmp+f1+OPP66tW7fKllz5n4MPf/jDkqSDBw/qoYce0oc//GHt2rWrBL0ErCcej+s73/mO3v3ud+v+++8vd3eAivPpT3/a/PrgwYN661vfKrvdXr4OAWVkGIZOnDihHTt2qKZm+UvuKKtYpZqamhXfgWTi8/m0b98+84UqFArpmc98piYmJuRwOIrcS8BaIpGIxsbG1NLSooceekiNjY3l7hJQUUKhkP7nf/5HwWBQ0sKbyZtvvlnj4+Nl7hlQPk1NTTm1Y7aKMgmHw4rFYuayx+OR3W6X3+8vY6+A9cHpdKqnp0dOp7PcXQEqUl9fn/bt22cu2+12tbS0KBwOl7FXwPpAOC6DeDyuaDSqaDSasr6lpUXxeLw8nQIAWEI8HlckEkn7FNLhcJgjyQCyq8qying8Lp/PJ7vdrv7+/qztwuGwRkZG1NraaobW3t7eVR/fbrdrcnIybX00GlV7e/uq9w+UUrnPH8CqinVuJQZeltYX2+12RSKRovcbsJqqCsc+n0/RaFSdnZ0Kh8NyuVxZ24ZCIe3fvz/lXXY4HJbb7dbIyEjR+xYIBORwONTT01P0fQPFUMnnD7CeFfvcSi7ZW2q57wFYULWzVbS3t6ujoyNjjW88HteuXbt08ODBtHfe7e3t8nq9RQ2xieONj49zMR7WhUo5fxJTKVbpyxgsqBjnViIsT05OprTz+XwKh8NclAesoKpGjnM1PDwsh8ORccqbPXv2yO/3m3/cw+FwzhfRZav16u7u1oEDBwjGsIS1Pn+AapHrudXS0pJx+3g8nvV7ABYRjjMIBoNZX0AcDocikYji8bjsdrtcLteyH4GtJDGlG1fdwyrW8vwBqkmu51ZioCUWi6UE6Vgsxt8aIAfMVpHB2NhY1lHcxPqlM00UIhQKye12p7xYBQKBVe8XKKe1On+AapPruWW32+V0OtPOs2g0KrfbXfJ+Ausd4TiDxKjWclb7xz0cDmt0dFQtLS2KRCKKRCIKhUKr2idQCdbi/Ek+FlAt8jm39u3bl1KKlDhX+KQGWBllFXlKvDCt5orfeDyurq4uxeNxDQwMpHyPK/lhZcU4f6SFABAKhczzpaurS52dnerp6eH2uKhKS88tj8ejWCymQCCglpYWjY6O6sCBA2XsIbB+EI7LINs8xwBy43A41Nvby7zJwDKSZ4XxeDxl7AmwvlBWkafER1Nc8Qvkj/MHKA3OLaB4CMcAAADABYTjDBwOR9YLhhL1XMxJDGTG+QOUBucWsDYIxxk4nc6sV8EnXpiYKxLIjPMHKA3OLWBtEI4zcLvdWd+dT0xMMBUOsAzOH6A0OLeAtUE4zmD37t2KxWIZX4RCoZC8Xm8ZegWsD5w/QGlwbgFro2rDcTwezzrXqt1u19DQkHw+X8r6UCgkh8PBlDioepw/QGlwbgHlZzMMwyh3J9bKwMCARkdHFY1GFYlEJC3cLchut2vPnj1pLyzhcFgjIyNqbW0167yYVxXVivMHKA3OLaCyVFU4BgAAAJZTtWUVAAAAwFKEYwAAAOACwjEAAABwAeEYAAAAuIBwDAAAAFxAOAYAAAAuIBwDAAAAFxCOAQAAgAsIxwAAAMAFhGMAAADgAsIxAAAAcAHhGAAAALiAcAwAAABcQDgGAAAALiAcAwAAABcQjgEAAIALCMcAAADABYRjAAAA4IK6cncAAFCZAoGAgsGg7Ha74vG47Ha7hoaGZLfby901ACgZRo4BACmi0aja29s1Pj6uYDCoYDCokZERtbS0aNeuXYpGo+XuIgCUjM0wDKPcnQAAVIZEMO7p6VF/f3/K9+LxuJqbm+VyuTQyMlKmHgJAaRGOAQCSFsJve3u77Ha7xsfHM7Zpbm5WPB4XfzoAWBVlFQAASVJ3d7ei0WjaiHGyeDwuSYpEImvUKwBYW4RjAIDi8bhCoZAcDodcLlfWNgBgdYRjAID6+vokSR6PJ2ubcDhsfu1wOEreJwAoB8IxAEChUEiStGfPnqxtEhfhORwOpnMDYFmEYwCoctFo1Jyezel0Zm03PDwsSfJ6vWvSLwAoB8IxAFS5RLlEtlrjRJt4PC6Hw6He3t616hoArDnCMQBUuUS5hNvtztrG5/NJkoLB4Jr0CQDKhXAMAFUuMXKc7cYePp9PkUhEfr9/2bILALACwjEAVLFoNKp4PC673S63261AIJDyfa/Xq0AgoGAwqJ6enjL1EgDWDuEYAKpYYpYKl8tl1hK73W51dXWpvb1dra2tOnjw4LJTvAGAldSVuwMAgPJZWm/c09PDCDGAqmY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", 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" ] }, "metadata": {}, "output_type": "display_data" - } - ], - "source": [ - "plt.plot(rho_arr, j_ut_arr, label=r'Johnson et. al, $\\rm{max}(1, 2\\rho)$', color='C3', linewidth=2.5)\n", - "plt.plot(rho_arr, my_ut_arr, label=r'This work, $A(u_T) = 1.34$', color='C0', linewidth=2.5)\n", - "plt.axhline(1., color='k', linestyle='--', label=r'point-source, $A_T = 1.34$')\n", - "\n", - "# plt.annotate('point source regime', xy=(0.015, 0.4), xytext=(0.04, 0.4),\n", - "# arrowprops=dict(facecolor='black', shrink=0.01, width=0.2),\n", - "# horizontalalignment='left', verticalalignment='center', fontsize=18)\n", - "\n", - "# plt.annotate('finite source regime', xy=(0.6, 0.3), xytext=(0.2, 0.3),\n", - "# arrowprops=dict(facecolor='black', shrink=0.01, width=0.2),\n", - "# horizontalalignment='right', verticalalignment='center', fontsize=18)\n", - "\n", - "\n", - "plt.annotate('point-source regime', xy=(0.012, 0.25), xytext=(0.02, 0.25),\n", - " arrowprops=dict(facecolor='black', arrowstyle = '->'),\n", - " horizontalalignment='left', verticalalignment='center', fontsize=14)\n", - "\n", - "plt.annotate('finite-source regime', xy=(8.0, 0.25), xytext=(4.7, 0.25),\n", - " arrowprops=dict(facecolor='black', arrowstyle = '->'),\n", - " horizontalalignment='right', verticalalignment='center', fontsize=14)\n", - "\n", - "\n", - "plt.axvline()\n", - "\n", - "# plt.loglog(rho_arr, j_ut_alt_arr, label='Johnson ut alt')\n", - "plt.legend()\n", - "plt.xscale('log')\n", - "plt.yscale('log')\n", - "plt.xlabel(r'$\\rho$')\n", - "plt.ylabel(r'$u_{\\rm T}$')\n", - "plt.xlim(1e-2, 0.95e1)\n", - "plt.ylim(2e-1, 6e0)\n", - "# plt.savefig('figures/ut_comparison.pdf')\n", - "plt.show()\n" - ] - }, - { - "cell_type": "code", - "execution_count": 253, - "metadata": {}, - "outputs": [ + }, + { + "data": { + "image/png": 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", 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", 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", 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" ] @@ -2241,68 +1548,80 @@ } ], "source": [ - "plt.plot(m_yield_arr/3e-6, johnson_ops, label=\"Johnson Mono\")\n", - "# plt.plot(m_yield_arr/3e-6, yield_mono_t_total, label=\"LCP Mono\")\n", + "#With extended mass function, but cuts on t_duration at low and high\n", + "def plot_ffp_histograms(data_structure, nick_ffp_tes_data, num_samples=10000, num_bins=20):\n", + " # bins = np.logspace(-2.5, 2, num_bins)\n", + " bins = np.logspace(-4, 2, num_bins)\n", "\n", - "# plt.plot(m_yield_arr/3e-6, 5e4*m_yield_arr**(0.5), label=r\"$M^{1/2}$\")\n", "\n", - "# plt.plot(m_yield_arr, N_events_power, label=\"Johnson Fid Extended\")\n", + " for p_val, nick_ffp_tes_sampled in nick_ffp_tes_data.items():\n", + " plt.figure()\n", + " for entity, entity_data in data_structure.items():\n", + " for finite_val, finite_data in entity_data.items():\n", + " if finite_val:\n", + " continue\n", + " for v_disp, v_disp_data in finite_data.items():\n", + " for p_or_mass, p_or_mass_data in v_disp_data.items():\n", + " if entity != 'ffp' or p_or_mass != p_val:\n", + " continue\n", "\n", - "plt.xscale(\"log\")\n", - "plt.yscale(\"log\")\n", - "plt.xlabel(r\"$M/M_\\oplus$\")\n", - "plt.ylabel(r\"$N_{\\rm events}/\\rm{Dex}$\")\n", - "plt.xlim(min(m_yield_arr/3e-6), max(m_yield_arr/3e-6))\n", - "# plt.legend()\n", - "plt.show()" + " # Calculate gamma(t) for each case\n", + " t_es_limited = np.logspace(np.log10(np.min(p_or_mass_data['t_es']))+0.1, np.log10(np.max(p_or_mass_data['t_es']))-0.1, 60)\n", + " gammas = np.array([gamma_of_t(p_or_mass_data['calculated_values'], t, t_es=p_or_mass_data['t_es']) for t in t_es_limited])\n", + " \n", + " # Sample crossing times\n", + " samples = sample_crossing_times(t_es_limited, gammas, num_samples)\n", + " \n", + " # Plot histogram\n", + " bin_counts, bin_edges = np.histogram(samples, bins=bins)\n", + " plt.bar(bin_edges[:-1], bin_counts/np.sum(bin_counts), width=np.diff(bin_edges), align=\"edge\", edgecolor=\"black\", label=f'LCP, Point v_disp={v_disp}', alpha=0.5, color='blue')\n", + " plt.axvline(np.median(samples), linestyle=\"--\", alpha=0.5)\n", + " plt.title(f\"FFP, p = {p_val}, v_disp = {v_disp}\")\n", + " \n", + " # Plotting for Popsycle data\n", + " bin_counts_popsycle_sampled, bin_edges_popsycle_sampled = np.histogram(nick_ffp_tes_sampled, bins=bins)\n", + " plt.bar(bin_edges_popsycle_sampled[:-1], bin_counts_popsycle_sampled/np.sum(bin_counts_popsycle_sampled), width=np.diff(bin_edges_popsycle_sampled), align=\"edge\", edgecolor=\"black\", label=r\"Popsycle $t_E$ Sampled\", alpha=0.5, color='orange')\n", + " plt.axvline(np.median(nick_ffp_tes_sampled), color='orange', linestyle=\"--\", alpha=0.5)\n", + "\n", + " plt.xscale('log')\n", + " plt.xlabel(r\"$t_E$ [hour]\")\n", + " plt.ylabel(\"Normalized Count\")\n", + " plt.legend()\n", + " plt.show()\n", + "\n", + "plot_ffp_histograms(data_structure, nick_ffp_tes_data)\n" ] }, { "cell_type": "code", - "execution_count": 42, + "execution_count": 51, "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_53778/2979419074.py:9: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", - " return quad(gamma_wrapper, 0.25, 1825*24, epsabs=0, epsrel=1e-1)[0] * s.n_sources * s.obs_time\n" - ] - }, - { - "data": { - "text/plain": [ - "45643.36779643568" - ] - }, - "execution_count": 42, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ - "yield_pbh(1e-4)" + "#px, py, pz, vx, vy, vz\n", + "stars = np.load('popsycle_data/star.npy')\n", + "ffps = np.load('popsycle_data/ffp.npy')\n", + "ffps_smaller_r = np.load('popsycle_data/ffp_smaller_r.npy')" ] }, { "cell_type": "code", - "execution_count": 455, + "execution_count": 46, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "[]" + "(-800.0, 600.0)" ] }, - "execution_count": 455, + "execution_count": 46, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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afv9Uzbt+HCHXB0WEheidW+LVNaKdlmwt0cwFy8UeQwB8CVd0AbTKwfJK/e0rh/76RaEOlNds9DDV0kVzLhuuM/t3Nrg6tNaA6A7K/fl4JWYv0utLt2lM70g9dP4go8sCgCYh6AJokfLKKmV/v0V/tm3QnrKarXrH9YnUXy4drguHdGNMmB+ZGttVT181Sne/s1IPf7xGo3p20iXDexhdFgCcFkEXQLNUVbv0mn2rZv1vnbbsPyxJGtQ1Qo9dPFTTR/dmowc/9auz+2v5jhLNXfSTfvaaXYvuPUdDu3c0uiwAaBRBF0CTuFwuvf/jLj3yyVr9uOuAJKl3ZLj+cOEQ3Rofw1a9fs5kMumZq8/Q6p0H9O3m/bp63mItuvccRbUPNbo0AGgQQRfAaX1ZuFcZH6/Voi37JUnm9qF6+IJBunvyAHVox8dIoGgXEiTrL+IV//RXWrenTDe+Ztd7t01UMFfxAXgpLsEAaNDSbSW6dO4inf/C91q0Zb/ahwbp4QsGqTDjAqWdP4iQG4B6dArTO7fGKzwkSB+v3a1H/rvW6JIAoEH8lgJwko17y/SH/67Vm8u2S5JCgkyaeWZ/PZIwWL0iww2uDkYb39esl5LH6sbX7Mr8bKNG94rUDeP6GF0WAJyEoAugTvGho5r1v3XK/n6LKqtr5qX+bFwfPXrRUMV2jTC4OniTG8b10fLtpcr6fKPuWLBMQ7tFKK6v2eiyAKAegi4AVVZVK3vRFs363zoVH6qQJF06rLv+dMkwje0TZXB18FZ/vmSYVu4o1Sdrd+vqefnK//W56tEpzOiyAKAOPbpAgFu4YY/GPfWV7nlnlYoPVWhUz06ypZ6lD++YRMhFo4KDTHrtxjgN7RahrSVHNP1fBaqoqja6LACoQ9AFApRjX5mueyVfidmL9OOuA4ruEKrnrj1D9t+cqwsGdzW6PPgIc/tQvXvrREWGh+ibTcV65BNuTgPgPQi6QIA5cKRSv/14jUZkfaF3Vu1UcJBJ90wZqPUPX6BfnT1AIczDRTMN7d5RL80YI0l64otCfbxml8EVAUANfqMBAcLlcumNpds0LOszPf7ZRh2tqlbikK5afv9U/f3qUYru0M7oEuHDrhvdW3dNHiBJ+sUbS7XVedjYggBABF0gIGwuPqTL/vmDbnzNrh2l5Yrt0kHv3hqv/848UyN6djK6PPiJv14xQnF9orTvUIV+9ppdlfTrAjAYQRfwY5VV1Xryi0KNeuIL/XfdHrULDtIfLx6qVQ+dpytH9pTJxI5WcJ+wkGC9efN4dQqr6df9w//WGV0SgABH0AX81NJtJTrrmW/00IerdaiiSlMtXbT8gal6JGGIwkKCjS4PfmpQ1wjNnV7Tr/v4Zxv1v3W7Da4IQCAj6AJ+pqy8Ug99sFoT//61lmwtkbl9qOZOH6OFvzxLQ7t3NLo8BIAZY3vrl2f1lyTd/PpSbSuhXxeAMQi6gB/5dN1ujX7ySz35ZaGqql1KHttbqx86T7dP6qegINoU0HaeunKkxvaO1N6yo7qRfl0ABiHoAn5gz8Fy/fx1uy6e+4M2FR9SjDlcH9w2UW/cNF49I8ONLg8BKDw0WPNvHq+OYcH6ylGsR/PWG10SgABE0AV8mMvl0r8KijQi63P9x75NJpN07zkD9eND5+uyET2MLg8BbnC3jspJqunX/cvCDcpbv8fgigAEGoIu4KMK95bpwpxFuuXNZdp3qEKje0Xq+3um6OmrRqljWIjR5QGSpOvH9VHKmf3lckk3vWbXjtIjRpcEIIAQdAEf9Lp9q0Y/+YUWbtir8JAgzbl0uPJ/fY4m9utsdGnASf521UiN7hWpPWVHddNrdlVVu4wuCUCAIOgCPqSyqloPvP+jbnp9qQ5XVOu82C5a8eB5Sr9gkELZuhdeqv2xft2IdsH6vHCfHqNfF0Ab4Tcj4CP2HCzXRTmL9LevHJKkhy8YpLzUszSoa4TBlQGnN7R7R72YNFqS9Jhtvb7YuNfgigAEAoIu4AOWby9R/NNf6/PCfYpoF6zcn4/XXy4drmBGhsGH3BjXV7dN7CeXS/r5G0tVfOio0SUB8HMEXcDLvbNyhyY/861+ch7WoK4RWnTvObpudG+jywJa5OmrRmpw1whtLTmiX1pXyOWiXxeA5xB0AS/lcrn0Z9t6XfdqgQ5VVClxSFf9cO8UjezZyejSgBbrGBai126MU0iQSdYVO/RKfpHRJQHwYwRdwAsdqajSTa8v1e//u06SdM+Ugfro9knq3KGdwZUBrTchxqw/XjxUknTvu6u0Yc9BgysC4K8IuoCXcR6u0CVzf9AbS7cpJMikF5NG6+9Xj1IIUxXgRx46b5DOi+2isqM1f9RVsEUwAA/gNyfgRbaVHNa5z32rLx371CksRJ/MnKSUM/sbXRbgdsFBJv3rhnHq3D5U+UVOzfrfOqNLAuCHCLqAl/hx5wGd/cw3WrXzgHpFhumru87WtMHdjC4L8Ji+5vbKmV4zcizz8436spCRYwDci6ALeIFvNu3TOc99qyLnEQ3tFqHv7p6iMb2jjC4L8LjrRveuGzl28+tLtZ+RYwDciKALGOztlTuUmL1IzsMVOntAZ31z9xT1j+5gdFlAm2HkGABP8dmg63Q6ZbVaFRsb2+AxOTk5dV/p6elyOp1tVyDQBK/Zt2r6vwpUXlmtq0b2UF7qWeoSwWQFBJaOYSH6z89qRo7lMnIMgBuFGF1AS9jtdhUUFCg6OloOh+OUx1itVuXl5Sk3N1dSTTCeNm2alixZ0palAg16Z+UO3fLmMrlc0h2T+umF60az0xkCVny/mpFjv/14re59d5WmDIzW4G4djS4LgI/zySu6cXFxSklJUVxcXIPHzJkzRxkZGXXfm81mRUdHy2aztUWJQKM+XbdbN/zHrqpql26ZEKMXCbkAI8cAuJ1PBt3TcTqdstvtslgs9R63WCx1V3gBo3zt2KdrXsnX0apqJY3upZzpoxVEyAVOGjk2+1NGjgFonWa3LjidTqWnp8tsNiszM7PB42w2m/Ly8hQbG1vXG5uWltbiQpujtp3BbDbXe9xsNstut7dJDcCpLN1WostfWqzDFdW6dFj3mr5ENoIA6tSOHJv+ryV6/LONunBIN02N7Wp0WQB8VJODbnp6uhwOh+Lj42Wz2ZSQkNDgsVarVfPnz6939dRmsykxMVF5eXmtq7gJiouLW/Qc4Elbig/psn/+oAPllZpq6aLcX0xQuxBCLnCimpFje/Ty4p908+tLtfyBqWx/DaBFmvxbNjMzU7m5uUpLSzvpSunxnE6nZs6cqblz59Z7PCEhQcXFxcrJyWlxsc3FlAV4i+JDR3XpP3/QzgPlOqNXJ717a7zahwYbXRbgtRg5BsAd3D51YcGCBbJYLKcMw8nJycrOzlZKSoqkmqu82dnZTfq5zemtjY6OPuXjTqezwecATzlSUaVr5uVrze6D6hMVro9un6So9qFGlwV4tdqRY5Of/Ua5K3bokoKtuiU+xuiyAPgYtwfd3NzcBsOkxWKR3W6X0+mU2WxWQkJCoy0QLVV7E1pxcXG9wF1cXNzopAbA3Vwul+5YsFxfbypWZHiIPr5jkvqa2xtdFuATjh85ds87KzVlYLQGdY0wuiwAPsTtDYIFBQUnTTuoVft4Q7Nv3cVsNisuLu6k13E4HEpMTPToawPHe+pLh15fuk3BQSa99YsJOqNXpNElAT7l+JFjN75mZ+QYgGZxe9CtvVrbGHcF3cZ6cDMyMuq1O9Qe64kryMCp5K3fo/SPVkuS/nblSE0b3M3gigDfw8gxAK3Rpjuj1Qbg1k4+cDgcdTufSdL06dMVHx+vlJSUutdISkqqu/ktOjpa+fn5WrhwYZN+fmlpab3vw8LCFBYW1qqaEVgc+8p0/b+XqNol3RIfo7smDzC6JMBnHT9yLPOzjbpkWHdNGdjF6LIAtJHy8nKVl5fXfX9iTmuMT24BbLFYlJaWdtq5vLU3vUk1wbepYmLq3/Awa9YszZ49u1k1InAdLK/UNa/ka//hCk3qZ9bz154hk4kNIYDWuG50b90yYbdeKSjSL95YpqX3n6vIcG7qBALBnDlz9Oijj7bo3DYd4lnbPuDtkw+KiopUUlJS93X8VsJAY1wul1Jyl2vljgPq2SlM1l9MUDhjxAC3ePrqkRrQub02FR/Sb97/0ehyALSRjIyMermsqKioyecyrf4UIiMj633RtoCmevH7LXpz2XaFBJmU+/MJ6hPFhAXAXSLDQ/XqDeNkMknzFhfp3VU7jC4JQBsICws7KZs1lduDrsViafBms9re3IamMgC+zL7Vqd+8V3OV6fHLhmvyQO/+lwvAF51j6aKHzhskSUrJXaGdpUcMrgiAN3N70I2Li2twGkJtAGaWLfyN83CFZvx7iY5WVeuqkT30m3P5Yw7wlD9eNFRjekdqb9lR3bFgObumAWiQ24NuYmJig1d0CwsLGe8Fv1OzKcQyOfYd0oDO7fVy8lhuPgM8qF1IkP7zsziFhQTp47W7lbNoi9ElAfBSbg+6M2bMUHFx8SnDrtVqVWpqqrtfEjDU899t1tsrdyo02KQFP5+gzh3aGV0S4PdG9uykOZcOlyQ98P5qrd9z0OCKAHijFgVdp9PZ4Cxcs9msuXPnKj09vd7jVqtVFoulWWO+AG+3bFuJHni/ZlOIJy4foQkxZmMLAgLIvVMGatrgrjpUUaWfv75UleyaBuAETZ6jm5WVpfz8fDkcjrqvxMREmc1mJScn1wuwSUlJMpvNSk9PV2xsbF3Pbu0GD4A/OHCkUsnH+nKvGNFD90wZaHRJQEAJCjJpXvJYjX7ySy0ucurPCzdo1oVDjS4LgBcxuejir1NaWqqoqCiVlJQ0a3QFAo/L5dLNry/V60u3qW9UuJbeP1VdImhZAIzwxtJtuvE1u4KDTPr27sma2K+z0SUB8KDm5DXm6AIt8NLin/T60m0KDjLpjZvGE3IBA90wro+uH9tbVdU1f4CWlVcaXRIAL0HQBZpp1Y5S3fvOKknSYxcPZV4u4AWeu/YM9YkK14a9ZXrow9VGlwPASxB0gWY4WF6pGf9eoiOV1bp4aDelHRtcD8BYnTu00yvXj5VUs0Phx2t2GVsQAK9A0AWayOVy6a63V2rt7oPqHRmuV28Yp6Ag5uUC3mLa4G6675yam0JvX7Bce8vKDa4IgNEIukATvZJfpH8v2aogk/TGTXHq1jHM6JIAnOAvlw7XiB4dtetAuVJzV7BrGhDgCLpAE6zaUaq731kpSXrs4mE6x9LF4IoAnEr70GD9+2dxCg026Z1VO/XvJVuNLgmAgQi6wGmUldfMyz1cUa2LhnZT+vn05QLebFyfqLp5uve+u0pFzsMGVwTAKARd4DTueXeV1uw+qF6RYfoXfbmAT0g7L1Zn9u+s0iOVun3+MlVX08IABCKCLtCI/yzZqlfyixRkkl6/kb5cwFeEBAfplevHqn1okGwb9uqF7zcbXRIAAxB0gQas33NQv3prhSTp94lDNDW2q8EVAWiOId066vHLRkiS0j5crQ17DhpcEYC2RtAFTsHlcmnmguUqO1ql82K76JGEIUaXBKAF7jp7gC4Y1FWHK6p1y5vLVEULAxBQCLrAKXyydre+3lSs8JAgvXrDOAXTlwv4pKAgk15OHqPI8BB9v2W/nvhio9ElAWhDBF3gBNXVLv3uk7WSpLsmD1SMub3BFQFojX6dO+jpq0ZJkmb9b51WbC81uCIAbYWgC5zAumKHlm8vVWR4iB6+gFFigD/4xYS+unJkD1VUufSLN5fqaGW10SUBaAMEXeA4LpdLmZ9vkCT9+hyLukS0M7giAO5gMpmUnTRGXSPaafn2Uj2at87okgC0AYIucJyFG/Zq6bZSdQgN1j1TBhpdDgA36tEpTC9cd4YkKfOzjVq0Zb/BFQHwNIIucJysz2tuVLl9Uj+u5gJ+6LrRvXVjXB9Vu6Rb3lyqQ0crjS4JgAcRdIFjPl23W7YNexUcZNL951qMLgeAh/zj6lHqExWu9XvKlPHxWqPLAeBBBF1A0qGjlbrz7ZWSpDvPHqD+0R0MrgiAp3Tu0E7/nDFGkvTMN5v02Ya9BlcEwFMIuoCkP9k2yLHvkPpGhetPFw8zuhwAHnbR0O5KPau/JOm2+ctUcrjC4IoAeAJBFwFv9c4D+usXhZKkf1wzSp3CQwyuCEBbeOLyEbJ06aCfnIf1m/d/NLocAB5A0EVAc7lcuvudlaqsdumKET109aheRpcEoI10DAvRK9ePlckkvZJfpA9+3Gl0SQDcjKCLgPaafZu+KNyn9qFBdTsnAQgcUwZ20QNTYyVJKdYV2ltWbnBFANyJoIuA5TxcoQc/qPnnyt8lDNHALtyABgSiP140VCN7dNKuA+W6862VcrlcRpcEwE0IughYj3yyVrsPHtXQbhF6YCrjxIBAFR4arFdvGKuQIJOsK3bojaXbjC4JgJsQdBGQVmwv1Qvfb5YkPXftaIWFBBtbEABDxfU165GEIZKku99ZpW0lhw2uCIA7EHQRkDI+XiOXS5o+upcuGNzV6HIAeIGMaYM0oW+UnIcrNHPBcloYAD9A0EXA+XzjXn2ydrdCgkz686XDjS4HgJcIDQ7SqzeMU1hIkP67bo9eWvyT0SUBaCWCLgKKy+XSwx+tkSSlnNlfg7pGGFwRAG8yvEenuk1jHnh/tbYUHzK4IgCtQdBFQHl31U7lFzkV0S5Yv08cYnQ5ALzQr8+1aPKAzjpQXqk7cmlhAHwZQRcB5blvN0uS7p4yUD06hRlbDACvFBxk0svJY9U+NEgLN+zVi99vMbokAC1E0EXA2LDnoD7buFcmk/TLM/sbXQ4ALza4W0fNOdbDn/bhajn2lRlcEYCWIOgiYMz9oebGkouHdlf/aDaHANC4uycP1FRLF5UdrdLt85erupoWBsDXEHQREMorq/RKfpGkmpvQAOB0goJMeil5jCLaBetLxz49++0mo0sC0EwEXQSEd1bu1N6yo+oTFa7Lhnc3uhwAPsLSJUJZl4+QVDN/e8OegwZXBKA5CLoICDmLam4muW1iP4UE87YH0HS/PKu/EgZ31eGKat06f5mqaGEAfAa/8eH31u0+qC8K9ynIJN0xqZ/R5QDwMSaTSXOnj1GnsBB9t3m/nv7KYXRJAJqIoAu/N/eHmqu5lw7roRhze4OrAeCL+kd30JNX1rQwPPLftVq7+4DBFQFoCoIu/NqRiiq9WnsT2lnchAag5W6f2E8XD+2m8spq3fLGMlVWVRtdEoDTIOjCr729cof2HapQ36hwXTy0m9HlAPBhJpNJOdPHKCo8RIuLnPrrl4VGlwTgNAi68GvZx3Y0un0SN6EBaL2+5vZ6+qpRkqTZ/1uvVTtKDa4IQGP4zQ+/lbd+j77eVKzQYJNun8hNaADc4+cT+uqKET10tKpat7y5TBW0MABei6ALv1Rd7VL6h6slSb86e4D6chMaADcxmUx6MWm0OrcPlX1biR7/bKPRJQFoAEEXfun1pdu0bHupIsND9EjCYKPLAeBnekWG69lrz5AkPZa3Xsu2lRhcEYBT8dmg63Q6ZbVaFRsb2+AxWVlZysrKUmpqqhITE+VwMPswEBypqNIjn6yVJD18wSB1jQgzuCIA/uj6sb117Rk9VVnt0i1vLtPRSloYAG8TYnQBLWG321VQUKDo6OgGw2t6eroyMjJkNpslqS4UFxYWymKxtGG1aGt//3qTfnIeVt+ocN13Dv9bA/AMk8mk568dra8cxVqxo1R/sq3XHy8eZnRZAI7jk1d04+LilJKSori4uAaPsdlsKi4urvs+KSlJZrNZ2dnZbVEi2lhlVbU+Wr1L018tUMbHayRJf7x4mNqHBhtcGQB/1r1TmJ471sIw57ONKihyGlsQgHp8MuiejtPplMPhOOlqb3R0tJxOpzFFwSPW7Dqg9A9Xq/+fbbri5cV6a+UOSdKtE2P0iwl9Da4OQCCYPqa3ksf2VlW1S7e8uVTllVVGlwTgmGa3LjidTqWnp8tsNiszM7PB42w2m/Ly8hQbG1sXLtPS0lpcaHOYzWbt37//pMcdDofGjx/fJjXAc0oOV+jNZdv0Sn6RfvjJWfd414h2ujGuj26N76fRvSONKxBAwHnmmlH6fONerd51ULM/Xa85lw43uiQAakbQTU9Pl8PhUHx8vGw2mxISEho81mq1av78+crNza17zGazKTExUXl5ea2ruIVycnJksViUkpJiyOujdaqqXfps4169ml+kt1fu0JFjN30EB5l02fDuuiU+RpcO66F2IX75jxQAvFzXiDBlJ43RNa/k64nPN+qqkT11Zv/ORpcFBDyTy+VyNfek8ePHa8KECafsd3U6nRo4cKA2bdpUdyPY8eelpqa6LWw6HA7FxsbqdP8VamtasmRJozeilZaWKioqSiUlJYqM5IqgN9hXdlTZi7Yo+/vNKnIeqXt8ZI9OuiU+RjeN76senZiqAMA7/Px1u/5j36ah3SJkv38q9wkAHtCcvOb2qQsLFiyQxWI5KeRKUnJysrKzs+uCrs1ma/LNYcdfHW6umTNnauHChUxb8CFrdx/Q019t0r+XFOlwRc3VW3P7UF0/trduje+nCTFRMplMBlcJAPX9/epRWrhxr9btKdMjn6zVk1eONLokIKC5Pejm5uYqOjr6lM9ZLBbZ7XY5nU6ZzWYlJCQ02gLhDrVjxhqb0ADv4HK5ZNuwV09/5dAna3fXPT6uT6R+fa5F00f3VjhXRwB4sc4d2iknaYyueHmxnv7aoWvO6KkpA7sYXRYQsNze0FhQUNDgldPax9tq4war1arExMR6ITcnJ6dNXhtNd6SiSi8v/kljn/pSF+Us0idrd8tkkq4a2UOf/+osFfz6XN08PoaQC8AnXDaih26Jj5HLJd02f7nKyiuNLgkIWG6/olt7tbYxDofDLVdYGxsVZrPZlJ+fr+TkZNnt9rrXhffYdaBcL3y3WS9+v1m7Dx6VJEW0C9atE/vp3ikDNahrhMEVAkDL/O3KkbKt36ONe8uU8cla/ePqUUaXBASkNt0ZrTYAH7+RQ0s4HA5Zrda6CQ7Tp09XfHy8UlJSZDab5XQ6NX36dDmdTmVlZdU7tylTH0pLS+t9HxYWprAwbnhyl8MVVXr00/X6+9cOlR+bnhBjDtfdkwfqjkn91LlDO4MrBIDWiWofqn/OGKOL5/6gZ7/ZpGtH9dR5g7oaXRbgk8rLy1VeXl73/Yk5rTE+uQWwxWJRWlpag3N5G5qj21QxMTH1vp81a5Zmz57d4p+H/1deWaWr5y1W3vq9kqT4GLPun2rRtWf0Umgwo8EA+I8Lh3bXHZP66Z8//KTbFyzX8gemqmOYT/7aBQw1Z84cPfrooy06t03/P6621aChm9W8RVFRUb1xFVzNdY+Kqmrd8B+78tbvVYfQYP3nxnG6amRPpicA8Ft/vWKEPl23R5uKD+nhj9bo2WPbBQNouoyMDN1///1135eWlp50UbIhXEI7hcjIyHpfBN3Wq6526bb5y/Tuqp0KCwnSe7fF6+pRvQi5APxaZHhNC4MkPf/dZn2+ca/BFQG+Jyws7KRs1lRuD7oWi6XBm75qe3OZZxtYXC6X7npnpV6zb1NIkEkLbh6vaYO7GV0WALSJhCHdlHJmf0nS7fOX6SBTGIA24/agGxcX1+A0hNoAzEzbwOFyuZT24Rplf79FJpP0rxvG6YqRPY0uCwDa1BOXj1D/zu21ef9hpX242uhygIDh9qCbmJjY4BXdwsJCj28QAe/yWN4GPflloSQpO2m0rh/Xx+CKAKDtdQoPqWthePH7LfpsAy0MQFtwe9CdMWOGiouLTxl2rVarUlNT3f2S8FJ/+6pQsz9dJ0l66sqRumNSf4MrAgDjTBvcTb8861gLw4JlOnCEFgbA01oUdJ1OZ4OzcM1ms+bOnav09PR6j1utVlksFiUlJbXkJeFj/vnDFj3wfs0/zz160VD9+lz6sgEg6/IRGtC5vbbsP6yHaGEAPM7kcrlcTTkwKytL+fn5cjgcdTuNJSQkyGw2Kzk5+aQAa7PZlJeXp9jY2Lqe3Ybm3nqL0tJSRUVFqaSkpFl39KG+N5Zu002v2+VySQ+eF6vMy4YzXQEAjvl8415Ne/F7SdKnKWcqYQg35wLN0Zy81uSgGwgIuq2Xu3y7fvaaXVXVLqWe1V/PX3sGIRcATnD32yv1/Heb1c/cXisenKrI8FCjSwJ8RnPyGnN04TYvfLdZ1/9niaqqXbopro+eu4aQCwCn8vhlwzUwuoN+ctLCAHgSQRet5nK5NPt/63TX2yvlckmpZ/XXvOvHKSiIkAsAp9IxLEQvHZvCMHfRT/p03W6DKwL8E0EXrVJV7dJdb6/UH/PWS5L+kDhEz197hoIJuQDQqPMGddXdUwZKkmbmLlfJ4QqDKwL8D0EXLVZeWaUb/rNELx7bDOLZa87Q7IuG0q4AAE0055Jhiu3SQUXOI3qQFgbA7Qi6aJHSIxW6dO4Psq7YodBgk964cbzunDzA6LIAwKdEhIXopRljJUkv/fCT/kcLA+BWBF00264D5Tr/he/0eeE+dQwL1sd3TNKMsb2NLgsAfNK5sV10T20LwwJaGAB3IuiiWRz7yjTl2W+0dFupukW00+e/OlvTBjMDEgBa4y+XDNOgrhHaWnJE93/wo9HlAH6DoIsmW769RFOe/VaF+w5pQOf2+ubuyRrf12x0WQDg8yLCQvRy8hiZTNK8xUX6ZM0uo0sC/AJBF03yZeFeTX3+O+08UK7RvSL17T1TNLhbR6PLAgC/MWVgF917rIUhxbpCTloYgFYj6OK0vt1UrIvn/qDSI5U61xKtL+48W70iw40uCwD8zp8vGabBXSO0reSI7n+PFgagtQi6aFTh3jJd80q+yiurdemw7vpk5pkyt2erSgDwhA7tQvRy8liZTNIrBUX6aDUtDEBrEHTRoP2HjuqKlxdrb9lRje8bpfk3j1f70GCjywIAvzZ5YLR+fY5FkpRqXaH9h44aXBHguwi6OKWKqmpN/9cSrd19UH2jwvXerRMVERZidFkAEBD+dMkwDekWoe2lR3T/+7QwAC1F0MVJXC6XfvXWSn22ca86hgXrg9snqncUPbkA0FbahwbXtTC8WrBVH/y40+iSAJ9E0MVJnviiUC8v/klBJumNG8drTO8oo0sCgIBz9oBo3X9urCTpl2/RwgC0BEEX9by9coce/miNJOlvV43SZSN6GFwRAASuP148VEO7RWhHabl+zRQGoNkIuqiT/5NTN79ulyTdNXlA3ZaUAABjtA8N1rzrxynIJP17yVa9TwsD0CwEXUiSftp/SFfNW6zDFdW6ZFh3/e3KkUaXBACQdGb/znpg6rEWBusKFdPCADQZQRcqPVKhK15erJ0HynVGr05646Y4hQTz1gAAb/HoRUM1vHtH7TxQrvveXWV0OYDPIM0EuMqqat3wH7tW7jigHp3C9MFtExUZzoYQAOBNwkODNe/6sQoySa/Zt+ndVTuMLgnwCQTdAOZyuXTvu6v0ydrdah8apPdvnah+nTsYXRYA4BQm9uusB88bJEn61Vsrta+MFgbgdAi6Aey3n6zVi99vkckk/euGcYrvZza6JABAI2ZfOEQjenTUrgPlupcWBuC0CLoB6i8LNyjzs42SpOevPUPXje5tcEUAgNMJDw3WvORxCg4y6Y2l2/TOSloYgMYQdAPQP7526JFP1kqSsi4fodSzBhhbEACgyeL7mfXQeTVTGH711grtLSs3uCLAexF0A8zLi3+qGzr++8QhevDYhyUAwHfMunCIRvbopN0Hj+qed2hhABpC0A0gC5ZtV0rucknSr8+1aPaFQwyuCADQEmEhNVMYgoNMmr9su95asd3okgCvRNANEB+u3qWbXrer2iXdMamfnrxihEwmk9FlAQBaaEKMWenn10xhuPOtldpzkBYG4EQE3QDw2Ya9mv6vAlVWu/SzcX30wnWjCbkA4Ad+nzhYo3p20p4yWhiAUyHo+rnvNxfrqnmLVV5ZratG9qj7py4AgO87voVhwfLtyl1OCwNwPIKuH1u2rUSX/vMHlR2tUsLgrnrjpvEKZWtfAPAr4/ualXFBTQvDXW+v1O4DtDAAtUg9fmrt7gO6KGeRSo5UavKAznrnlniFhwYbXRYAwAMeSRii0b0itbfsqO5+Z6XR5QBeg6Drh5ZvL9EFL3yvPWVHFdcnSh/ePkkRYSFGlwUA8JB2IUGad/1YhQSZZF2xQwuW0cIASARdv/P5xr2a+vx32nmgXGf06qT/pkxSVPtQo8sCAHjYuD5R+u20wZKku95eoV20MAAEXX+yYNl2XTL3B5UeqdRUSxd9eedkdY0IM7osAEAb+e20wRrTO1L7DlXorrdXyOVyGV0SYCiCrp945ptNuuG1JTpaVa3rzuilT2ZOkpkruQAQUNqFBGleck0Lw9srd2o+LQwIcARdH+dyufTbj9fovndXyeWS7jx7gN68eTw3ngFAgBrbJ0q/S6hpYbj7nZXaWXrE4IoA4xB0fVhFVbVum79Mj3+2UZL0p0uG6ZlrRjEnFwAC3G+nDdbY3pEqPlShO99eSQsDAhZB10eVlVfq6nn5erVgq4KDTPrnjDH67bTB7HgGAFBocJBeuX6cQoNNenfVTr2xdJvRJQGGIOj6oL1l5Zr24vf6ZO1utQ8N0ju3xOu2if2MLgsA4EVG947UIwlDJEn3vruKFgYEJIKuj9m075CmPPutFhc5Fd0hVAt/ebYuH9HD6LIAAF7o4QsGKa5PlIoPVehXbzGFAYGHoOtDFm3Zr8nPfqP1e8rUz9xe39w9WWf272x0WQAALxUaXLORRGiwSe/9uEuv2WlhQGAh6PqIeYt/0nnHNoIY3StS390zRcO6dzK6LACAlzujV6T+kFjTwnDfu6u0gxYGBBCCrperrKrWr99bpdsXLNfRqmpdM6qnvrl7snpHhRtdGgDAR6SfP0jj+0Zp/+EK/dJKCwMCB0HXi+06UK4LcxbpH19vkiTNvnCocn8+QR3DQgyuDADgS0KCazaSaBccpA9W79J/7FuNLgloEz4bdJ1Op6xWq2JjY5t0fFZWlmw2m4ercp9FW/ZrwtNf6YvCfeoYFqy3fjFBf7hwiIKYkQsAaIFRvSI168LaFoYftb2EFgb4P58Muna7XQsWLJAkORyO0x7vcDiUnp7u6bLcwuVy6flvN2vq899qW8kRDeveUYvvO0fXnNHL6NIAAD7uofNiFR9jlvNwhVKty2lhgN/zyaAbFxenlJQUxcXFNel4m80mi8Xi4apa73BFlW59c5nufmelKqpcShrdSz/cew43nQEA3OL4FoaP1uzWvwpoYYB/88mg2xxWq1UzZswwuozTcuwr0+RnvtG/lmxVkEnKunyE5t88Xp3C6ccFALjPiJ6dNPuimhaGX7+3SttKDhtcEeA5zU5RTqdT6enpMpvNyszMbPA4m82mvLw8xcbGyul0SpLS0tJaXGhL1L6u2Wxu09dtrk/W7NJNry/V/sMV6hbRTm/ePF7nD+pqdFkAAD/14NRYvbtypxYXOZWSu0If3j6RLeThl5ocdNPT0+VwOBQfHy+bzaaEhIQGj7VarZo/f75yc3PrHrPZbEpMTFReXl7rKm6GBQsWKCUlpc1er7mqq116zLZef8xbL5dLmtTPrNyfT1Bfc3ujSwMA+LGQYxtJxP3tK32ydrdeyS/SrWwlDz/U5NaFzMxM5ebmKi0trdErpE6nUzNnztTcuXPrPZ6QkKDi4mLl5OS0uNjmsNvtjYZxb3Dr/GV69NOakJt6Vn99cefZhFwAQJsY3qOTHr1oqCTpN+//qK1OWhjgf9zeALpgwQJZLJZThuHk5GRlZ2fXXWW12WzKzs5u0s89/upwUxQUFHj11VxJumFcH721YoeevfYM3RIfY3Q5AIAA88DUWL27aqcWbdmvmbnL9fEdk2hhgF9xe9DNzc1VdHT0KZ+zWCyy2+1yOp0ym81KSEjwyFXXrKws7du3T1lZWXWPFRcXKzs7W3a7vc17hRty8bDu2vS7aerWMczoUgAAASg4yKSXk8do3FNf6X/r9ujlxUW6fRItDPAfbg+6BQUFDU45qB3x5XA4mjwarCVOFWTT09OVmprqde0MhFwAgJGGde+kxy4eprQPV+uBD37UhUO7KYY2OvgJt48Xq71a25imbPLQ1NcCAACt85tzLTqrf2eVHqnUzAVsJAH/0aZzdGsDcHFxcat+jsPhUFZWVt1uZ9OnT1dWVtYpg6/NZlNqaqqkmhvqjm9naEhpaWm9r/Ly8lbVCwCAN6tpYRir8JAgfbp+j/75w09GlwTUKS8vPymbNZVP7kZgsViUlpbWpF7b2j7gpt70JkkxMfVvDJs1a5Zmz57d3DIBAPAZQ7t31J8uGaYHP1itBz9YrYuGdlO/zh2MLgvQnDlz9Oijj7bo3Da9olt7xbWhm9W8RVFRkUpKSuq+MjIyjC4JAACPu+8ciyYP6KwD5ZWamUsLA7xDRkZGvVxWVFTU5HP9fgvgloiMjKz3FRbGDWMAAP8XHGTSS8daGPLW79VcWhjgBcLCwk7KZk3l9qBrsVgavNmstje3dvoCAADwLkO6ddRfLh0uSXrwgx+1ufiQwRUBLef2oBsXF9fgNITaAOzJ0WIAAKB17p0yUFMGRutgeRUtDPBpbg+6iYmJDV7RLSws9Lo5tgAAoL6gY1MY2ocGaeGGvcr+fovRJQEt4vagO2PGDBUXF58y7Fqt1rpRXwAAwHsN6hpR18Lw0IertWkfLQzwPS0Kuk6ns8FZuGazWXPnzq2bcVvLarXKYrEoKSmpJS8JAADa2D2TB+qcgdEqO1qlOxYsU3U1LQzwLSZXExtvsrKylJ+fL4fDIbvdLqlmRq3ZbFZycvJJAdZmsykvL0+xsbF1PbtNmXtrpNLSUkVFRamkpKRZd/QBAOCvCveWacyTX+pQRZWeveYM3Tl5gNElIcA1J681OegGAoIuAAAne+abTbrv3VWKaBesFQ+cp4Fd2EgCxmlOXmOOLgAAaNRdZw/QVEsXlR2t0u20MMCHEHQBAECjgoJMeil5jCLaBeuLwn16/rvNRpcENAlBFwAAnJalS4Qev6xmCsPDH61R4d4ygysCTo+gCwAAmuRXZw3QebFddKiCFgb4BoIuAABokqAgk16aMVYR7YL1laNYz9HCAC9H0AUAAE02sEsHZV0+QpL08EertZEWBngxgi4AAGiW1DP764JBXXW4olq3z6eFAd6LoAsAAJolKMikf84Yo45hwfp6U7Ge+XaT0SUBp0TQBQAAzTYguoOeONbC8NuP12jDnoMGVwScjKALAABaJOXM/koYXNPCcNv8ZaqihQFehqALAABaxGQyae70MeoUFqJvN+/XP75xGF0SUA9BFwAAtFj/6A564oqaFobffbxW62lhgBch6AIAgFaZOamfEod01ZHKat36Ji0M8B4EXQAA0CrHtzB8v2W/nv6KFgZ4B4IuAABotX6dO+jJK2taGH7/37Vat5sWBhiPoAsAANzi9on9dNHQbjUtDExhgBcg6AIAALcwmUzKmT5GkeEhWrRlv576stDokhDgCLoAAMBtYszt9dSVIyVJf/jfOq3ZdcDgihDICLoAAMCtbo2P0SXDuqu8smYjicqqaqNLQoAi6AIAALcymUzKThqtqPAQ/fCTU08xhQEGIegCAAC363tcC8MsWhhgEIIuAADwiFviY3TpsRaGW9+khQFtj6ALAAA8wmQyKXt6TQvD4iKnnvySFga0LYIuAADwmD5R7fX0VaMk1bQwrN5JCwPaDkEXAAB41M8n9NVlw7vraFXNRhK0MKCtEHQBAIBH1UxhGCNz+1DlFzn1xBdsJIG2QdAFAAAe1zsqXE9fVTOF4dFP12vVjlKDK0IgIOgCAIA2cfP4vrp8eA8drWIjCbQNgi4AAGgTJpNJLyaNlrl9qAq2liiLFgZ4GEEXAAC0md5R4fr71bUtDOtoYYBHEXQBAECbuimur64Y0UMVVS7dOn+ZKmhhgIcQdAEAQJuqbWHo3D5US7aWKOvzjUaXBD9F0AUAAG2uV2S4/n51zUYSf8xbr5W0MMADCLoAAMAQN8b10ZUjj7UwvEkLA9yPoAsAAAxhMpn0wnU1LQz2bSXKpIUBbkbQBQAAhukVGa5/XFPTwvBY3nqt2E4LA9yHoAsAAAz1s3F9dFVtC8P8pbQwwG0IugAAwFC1LQzRHUK1dFupHv+MFga4B0EXAAAYrmdkuJ655gxJ0p9stDDAPQi6AADAK1w/treuGdWTFga4DUEXAAB4BZPJpOevG60ux1oY5iykhQGtQ9AFAABeo0ensHotDMu2lRhcEXwZQRcAAHiV5LG9de0ZPVVZ7dKt85fpaCUtDGgZgi4AAPAqJpNJz11b08KwfHup/rJwg9ElwUf5bNB1Op2yWq2KjY1t9LisrCzl5OQoJydHWVlZbVQdAABojR6dwvTstTUtDH9ZuIEWBrRIiNEFtITdbldBQYGio6PlcDgaPC4xMVGZmZmKi4uTJMXGxspisSgpKamtSgUAAC00Y0xvWZfv0Fsrd+iWN5dp8X3nqF2Iz16jgwF88t0SFxenlJSUugB7Kjk5ObJYLPWOyczMJOQCAOAjaloYzlDXiHZasaNUf6aFAc3kk0G3KdLT05WYmFjvMUIuAAC+pXunMD17bArDnIUbtJQWBjRDs1sXnE6n0tPTZTablZmZ2eBxNptNeXl5io2NldPplCSlpaW1uNDm1uh0OmU2m5WTkyNJKiwsVGpqqiwWS5vUAAAA3GPG2N6yrtgu64odupUWBjRDk4Nuenq6HA6H4uPjZbPZlJCQ0OCxVqtV8+fPV25ubt1jNptNiYmJysvLa13FTVDbt2u32+vCtdPp1MCBA7Vp0yaZzWaP1wAAANzn2WvO0BeF+7RiR6n+ZFuvP148zOiS4AOa/OdQZmamcnNzlZaW1mhQdDqdmjlzpubOnVvv8YSEBBUXF9ddYfWk4uJiSap39dZsNmvChAmaM2eOx18fAAC4V/dOYXru2BSGOZ9tlH2r09iC4BPcPnVhwYIFslgspwzDycnJys7OVkpKiqSaq7zZ2dlN+rnHXx0+nejoaEk6qU3BbDbLbrc3+ecAAADvMX1Mb1mXb1fuih26df4y5d93Li0MaJTbg25ubm5d0DyRxWKR3W6v659NSEhotAWipRqbxgAAAHzXs9fWtDCs3HFAj9nW6zFaGNAIt/8ZVFBQ0OANX7WPNzb71l3i4uJOeh2n00kIBgDAh3Xr+P8tDI9/tlFLaGFAI9wedGuv1jbGXUG3dprDqWRmZtZri3A4HHI4HMrIyHDLawMAAGMkjemtGWN6q6rapVvfXKbyyiqjS4KXatOd0WoDcO3NYi3lcDhktVrrJjhMnz5d8fHxSklJqXuN2paI9PR0denSRYWFhcrLy2vSxIXS0tJ634eFhSksLKxVNQMAAPd59tpR+qJwr1btPKDH8jboT5fQwuCvysvLVV5eXvf9iTmtMT65BbDFYlFaWtpp5/K2tAc4Jiam3vezZs3S7Nmzm/1zAACAZ3SNCNPz141W0qsFyvx8o64e1VMTYsxGlwUPmDNnjh599NEWndumtyrWtho0dLOatygqKlJJSUndF+0OAAB4n2vP6KXrx9LC4O8yMjLq5bKioqImn8tMjlOIjIys90XbAgAA3ukf14xS947t9OOuA3r00/VGlwMPCAsLOymbNZXbg67FYmnwZrNTbeQAAADQUl0jwvTCdaMlSVmfb1T+T05jC4JXcXvQjYuLa3AaQm0AZsQXAABwl2vO6KUbxvVRtUu6df5SHamghQE13B50ExMTG7yiW1hY6JENIgAAQGD7x9Wj1KNTmFbvOqhH82hhQA23B90ZM2aouLj4lGHXarUqNTXV3S8JAAACXJeIdnrhupqNJJ74fKMW/7Tf4IrgDVoUdJ1OZ4OzcM1ms+bOnav09PR6j1utVlksFiUlJbXkJQEAABp19ahe+lltC8Oby2hhQNPn6GZlZSk/P79uhzGHw6HExESZzWYlJyfXC7BJSUkym81KT09XbGxsXc9u7QYPAAAAnvD3q0dp4ca9WrP7oGZ/ul6PXzbc6JJgIJPL5XIZXYS3KC0tVVRUlEpKSpo1ugIAAHiP91bt1DWv5CvIJH179xRN6t/Z6JLgRs3Ja8zRBQAAfuWqUT11Y1ztFAZaGAIZQRcAAPidv189Sj07hWnt7oOa9b91RpcDgxB0AQCA34nu0E4vJtVsJPHkl4VatIUpDIGIoAsAAPzSlSN76qZjLQy30cIQkAi6AADAbz19XAvDH2hhCDgEXQAA4LeiO7RT9rEWhqe+LNT3m0+9DwD8E0EXAAD4tStG9tTN4/vWTWE4TAtDwCDoAgAAv/f0VSPVKzJM6/eU6ff/XWt0OWgjBF0AAOD3Ondop5ykMZKkv33l0He0MAQEgi4AAAgIl43ooV9M6CvXsSkMtDD4P4IuAAAIGH+7apR6R4Zr/Z4yPfIJLQz+jqALAAAChrl9qHKm10xhePprh77dRAuDPyPoAgCAgHLp8B66ZUJMXQvDoaOVRpcEDyHoAgCAgPPUVSPVJypcG/aW6ZH/spGEvyLoAgCAgGNuH6qcYxtJ/P1rh77ZtM/giuAJBF0AABCQLhneQ7fE17YwLKeFwQ8RdAEAQMB66sqaFoaNe8v0O6Yw+B2CLgAACFjHtzD845tN+tpBC4M/IegCAICAdsnwHrp1Yk0Lw+0LaGHwJwRdAAAQ8J66YqT6Hmth+C0tDH6DoAsAAAJeVPtQzZ0xRpL0DC0MfoOgCwAAIOmiod1128R+dRtJlJXTwuDrCLoAAADHPHnFCPWNClfhvkPKoIXB5xF0AQAAjjm+heHZbzbpy8K9BleE1iDoAgAAHOeiod11x6R+kmqmMNDC4LsIugAAACf46xUj1M/cXo59h/Twx2uMLgctRNAFAAA4QWT4/7cwPPftZn2xkRYGX0TQBQAAOIXEId0088z/b2E4SAuDzyHoAgAANOCJy2taGDYVH9LDH9HC4GsIugAAAA2IDA/VP4+1MDz/3WZ9TguDTyHoAgAANCJhSDelnNlfknT7/GW0MPgQgi4AAMBpPHH5CPXv3F6b9x9WOi0MPoOgCwAAcBqdwkPqWhhe+G6zPttAC4MvIOgCAAA0wbTB3ZR6Vk0Lwx0LaGHwBQRdAACAJsq67P9bGNI+XG10OTgNgi4AAEATdQoP0UszxkqSXvx+Cy0MXo6gCwAA0AwXDO6qXx5rYbh9wTIdOEILg7ci6AIAADRT1uUjNKBze23Zf1hpH9HC4K0IugAAAM3UMSxELyWPlSRlf79FtvV7jC0Ip0TQBQAAaIHzB3XVr84eIEm6Y8FylR6pMLYgnISgCwAA0EKZlw3XwOgO+sl5WA8xhcHrEHQBAABaqGNYiF46tpHE3EU/KY8WBq9C0AUAAGiF8wZ11V2TB0iq2UiCFgbv4bNB1+l0ymq1KjY2tsFjrFarcnJylJOTo/T0dNnt9jasEAAABIrHLx0uS5cOKnIe0YMf0MLgLUKMLqAl7Ha7CgoKFB0dLYfDccpjcnJylJCQIIvFUvfY9OnTNXfuXJnN5jaqFAAABIKIYy0M57/wvf75w09KGt1LFw7tbnRZAc8nr+jGxcUpJSVFcXFxDR6Tm5tbL+RKUmJiogoKCjxdHgAACEBTY7vq7ikDJUkzc5er5DAtDEbzyaDbVOnp6fW+X7JkiSZMmGBQNQAAwN/NuWSYYmtbGJjCYLhmty44nU6lp6fLbDYrMzOzweNsNpvy8vIUGxsrp9MpSUpLS2txoc2VmZmp8ePHy2azKTc3VzabTYmJibQtAAAAj6lpYRir8174Ti8da2G4iBYGwzQ56Kanp8vhcCg+Pl42m00JCQkNHmu1WjV//nzl5ubWPVYbNPPy8lpXcRPFxcVpyZIlGj9+vGJjY5WSkqLs7Ow2eW0AABC4zo3tonumDNQz32zSzAXLtfLB8xTVPtTosgJSk1sXMjMzlZubq7S0tEavijqdTs2cOVNz586t93hCQoKKi4uVk5PT4mKbw+l0Kjs7W0uWLFFKSopycnKUmJjYJq8NAAAC21+OtTBsLTmiB5jCYBi3T11YsGCBLBbLKcNwcnKysrOzlZKSIqnmKm9Tr7Ief3W4KaZPn67c3FyZzWZlZ2crNTVV06ZNU3p6eqMtFwAAAK0VERail5NrWhheXlzTwnDxMFoY2prbg25ubq6io6NP+ZzFYpHdbpfT6ZTZbFZCQkKjLRAtZbfbTwrbcXFxys3NPekGNQAAAE84x1LTwvCPrzcpJZcWBiO4fepCQUHBSWO9atU+3tDsW3dpqLViwoQJDdYGAADgbn+5ZJgGdY3Q1pIjuv+DH40uJ+C4PejWXq1tjLuCbu00hxNZLBY5HI6TXicnJ0cZGRlueW0AAIDT6dAuRC8nj5HJJM1bXKRP1uwyuqSA0qY7o9UG4OLi4lb9HIfDIavVWjfBYfr06YqPj1dKSkrda+Tm5mrOnDnq0qWLJGnfvn1KTk5udJMJAAAAd5sysIvunTJQf/96k2bmrtCqh86TmRaGNuGTWwBbLBalpaU1Opf3dHN+G1NaWlrv+7CwMIWFhbXoZwEAAPz5kmH6eM1ubdhbpvvf+1EvXz/W6JJ8Rnl5ucrLy+u+PzGnNaZNd0arbTVo6GY1bxETE6OoqKi6rzlz5hhdEgAA8GE1LQxjZTJJrxQU6aPVtDA01Zw5c+rlspiYmCaf69dbALdUUVGRSkpK6r7o6wUAAK01eWC07jun5qb4VOsK7T901OCKfENGRka9XFZUVNTkc90edGtvBDuV2t5cb598EBkZWe+LtgUAAOAOf7p4qAZ3jdD20iO6/32mMDRFWFjYSdmsqdwedOPi4hqchlAbgLkhDAAABKIO7UI07/qaFoZXC7bSwuBhbg+6iYmJDV7RLSws9MgGEQAAAL7i7AHR+s25Nf+6nWJdTguDB7k96M6YMUPFxcWnDLtWq1WpqanufkkAAACf8tjFwzS0W4R2lJbrN+/RwuApLQq6TqezwVm4ZrNZc+fOPWmrXavVKovFoqSkpJa8JAAAgN9oHxqsl5PHKsgk/WvJVn3w406jS/JLTZ6jm5WVpfz8/LodxxwOhxITE2U2m5WcnFwvwCYlJclsNis9PV2xsbF1Pbu1GzwAAAAEurMGROs358bqyS8L9cu3VmjKwGh17tDO6LL8isnlcrmMLsJblJaWKioqSiUlJc26ow8AAKAlDldUKe6pL7VuT5luHt9Xr94wzuiSvF5z8hpzdAEAAAzSPjRY864fpyCT9G9aGNyOoAsAAGCgM/t31v1TYyXVbCRRzBQGtyHoAgAAGOyPFw3VsO4dtfNAuX797iqjy/EbBF0AAACDhYcGa96xKQz/sW/T+7QwuAVBFwAAwAtM6t9ZDxxrYfildYX2ldHC0FoEXQAAAC/x6EVDNfxYC8N9tDC0GkEXAADAS4SHBmve9TUtDK8v3aZ3V+0wuiSfRtAFAADwIhP7ddaD5w2SJP3qrZW0MLQCQRcAAMDLzL5wiEb06KhdB8p1Ly0MLUbQBQAA8DLhocF6+dgUhjeWbtM7K2lhaAmCLgAAgBea2K+zHjq/toVhhfaWlRtcke8h6AIAAHip2RcO0cgenbT74FHd+w4tDM1F0AUAAPBSYSE1UxiCg0x6c9l2vU0LQ7MQdAEAALzYhBiz0s6v2UjiTloYmoWgCwAA4OX+kDhEo3rWtDDcQwtDkxF0AQAAvNzxLQzzl23XWyu2G12STyDoAgAA+IDxfc1KPzaF4c63VmrPQVoYToegCwAA4CN+nzhYo3p20p4yWhiagqALAADgI45vYViwfLusy2lhaAxBFwAAwIeM72vWwxfUtDDc9TYtDI0h6AIAAPiY3ycM0Rm9aloY7n57pdHleC2CLgAAgI9pFxKkeck1LQy5K3ZowTJaGE6FoAsAAOCD4vqalXGsheHud1Zq9wFaGE5E0AUAAPBRjyQM0ehekdpbdlR3vb1SLpfL6JK8CkEXAADAR7ULCdK868cqJMikt1bu0AKmMNRD0AUAAPBh4/pEKWPaYEnS3W+v1C5aGOoQdAEAAHzc76YN1pjekdp3qEJ3vb2CFoZjCLoAAAA+rnYKQ0iQSW+v3Kn5TGGQRNAFAADwC2P7ROl3CTUtDPe8QwuDRNAFAADwG7+dNlhjj7Uw3PkWLQwEXQAAAD8RGvz/UxjeWbVTbwZ4CwNBFwAAwI+M6R2lRxKGSKppYdhZesTgioxD0AUAAPAzGdMGaVyfSBUfqtCdAbyRBEEXAADAz4QGB2le8jiFBpv07qqdemPpNqNLMgRBFwAAwA+N7h1Z18Jw77urArKFgaALAADgpx6+YJDi+kSp+FCFfhWAUxgIugAAAH6qdgpDaLBJ7/24S6/ZA6uFgaALAADgx87oFanfJ9a0MNz37irtCKAWBoIuAACAn0s/v6aFYf/hCv3SGjgtDARdAAAAP3d8C8MHq3fpP/atRpfUJgi6AAAAAeCMXpH6Q10Lw4/aXuL/LQwEXQAAgACRfv4gje8bJWeAtDAQdAEAAAJESHCQ5iWPVbvgIH24Zpf+vcS/WxgIugAAAAFkVK9I/eHCmhaGX7/n3y0MIUYX0FJZWVmSpMLCQjkcDmVnZ8tisdQ7Jicnp+4/FxYWKiMjQ2azuS3LBAAA8Dpp58Xq3ZU7VLC1RKnW5Xr/tokymUxGl+V2Phl009PT64VWq9Wq2NhYFRYW1oVdq9WqvLw85ebmSpKcTqemTZumJUuWGFU2AACAVwgJDtK868dp/N++0kdrdutfBVv1i/gYo8tyO59sXbDZbCouLq77PikpSWazWdnZ2XWPzZkzRxkZGXXfm81mRUdHy2aztWmtAAAA3mhkz06afVFtC8MqbSs5bHBF7udzQdfpdMrhcMjhcNR7PDo6Wk6ns+4Yu91+UiuDxWKpu8ILAAAQ6B6cGquJMWaVHKlUaq7/TWFoduuC0+lUenq6zGazMjMzGzzOZrMpLy9PsbGxdQE0LS2txYXWMpvN2r9//0mPOxwOjR8/vu4/1x574rl2u73VNQAAAPiDkOAgvZw8VnF/+0ofr92tVwu26hY/amFoctBNT0+Xw+FQfHy8bDabEhISGjzWarVq/vz59a6e2mw2JSYmKi8vr3UVn0JOTo4sFotSUlIkqV5bw4kaew4AACDQjOjZSY9eNFQZH6/Rb95bpcQhXdUnqr3RZblFk1sXMjMzlZubq7S0tEYnFzidTs2cOVNz586t93hCQoKKi4vrTUJwh9orzKcK0LVXkgEAANCwB6Za6loYUvyohcHtUxcWLFggi8VyyjCcnJys7OzsuiuvNput3g1kjWmot3bmzJlauHBhvX7c6OjoUx7rdDobfA4AACBQ1UxhqGlh+GTtbr2SX6RbJ/YzuqxWc3vQzc3NbTBMWiwW2e12OZ1Omc1mJSQkNNoCcTq1Y8bi4uJOeh2ppk3h+MBdXFx80rEAAACQhveoaWF4+KM1+s37PyphSDfFmH27hcHtUxcKCgpOmnZQq/bxEycmtITValViYmK94FrbFmE2mxUXF3fS6zgcDiUmJrb6tQEAAPzRA1NjNamfWaVHKpWSu9znWxjcHnRrr9Y2prVB12azKT8/X9HR0bLb7bLb7bJarfWOycjIqNfuUNuv25oryAAAAP4sOMikedePVVhIkP63bo9eXlxkdEmt0qY7o9UG4NZMPnA6nZo+fbqcTmfdNsC1jr8hLSkpqe7mt+joaOXn52vhwoUtfl0AAIBAMKx7J/3xoqFK/2iNHvjgR1041HdbGHxuC+CG5uieSu1Nb1JN8G2q0tLSet+HhYUpLCysyecDAAD4svunxuqdVTu1aMt+peQu18d3TJLJZDKklvLycpWXl9d9f2JOa0yb7oxW2z7g7ZMPYmJiFBUVVfc1Z84co0sCAABoM8FBJr2cPKauheGlxT8ZVsucOXPq5bKYmKZvaOFzWwC3haKiIpWUlNR9ZWRkGF0SAABAmxrWvZMeu3iYJOmB91frp/2HDKkjIyOjXi4rKmp637Dbg67FYmnwZrPa3tyGpjJ4i8jIyHpftC0AAIBA9JtzLTqrf2cdKK/UTIOmMISFhZ2UzZrK7UE3Li6uwR3JagMws2wBAAC8X00Lw1iFhwQpb/1e/fMH41oYWsLtQTcxMbHBK7qFhYWM9wIAAPAhQ7t3rGthePAD41oYWsLtQXfGjBkqLi4+Zdi1Wq1KTU1190sCAADAg359rkVnDzC2haElWhR0nU5ng7NwzWaz5s6dq/T09HqPW61WWSyWZo35AgAAgPFObGGY6yMtDCZXEyN5VlaW8vPz5XA4ZLfbJdXsMmY2m5WcnHxSgLXZbMrLy1NsbGxdz25aWpp7q3ez0tJSRUVFqaSkpFmNzgAAAIHgb18V6oH3V6tjWLBWPnCe+kd3aPMampPXmhx0AwFBFwAAoGFV1S6d9/y3+nbzfiUM7qr/pZzZ5htJNCevMUcXAAAATVLbwtA+NEi2DXuVs2iL0SU1iqALAACAJhvcraP+fMlwSdJDH67W5mLvncJA0AUAAECz3DtloKYMjNbB8irdsWC5qqu9sxOWoAsAAIBmCTquheGzjXuV7aUtDARdAAAANNugrhH6y6U1LQxpH67Wpn3e18JA0AUAAECL3DN5oM4ZGK2wkCAV7iszupyThBhdAAAAAHxTUJBJ/7phnMJCgtQzMtzock5C0AUAAECLGbFpRFPRugAAAAC/RNAFAACAXyLoAgAAwC8RdAEAAOCXCLoAAADwSwRdAAAA+CWCLgAAAPwSQRcAAAB+iaALAAAAv0TQBQAAgF8i6AIAAMAvEXQBAADglwi6AAAA8EsEXQ8qLy/X7NmzVV5ebnQpfon19SzW17NYX89ifT2L9fUs1td9TC6Xy2V0Ed6itLRUUVFRKikpUWRkpNf9PNTH+noW6+tZrK9nsb6exfp6FuvbuOasD1d0m+i5555r8WNtobWv25zzT3dsY8839Bzr2/RjWd/Wnc/6evZ81tez5zfl2OaucVPX3aj1be1rs76n58vre1ou1CkpKXFJcpWUlJz03PDhw5v9WGM/z91OVYunzj/dsY0939BzrG/Tj2V9W3c+6+vZ81lfz57flGObu8ZNXXej1vdUtXjqXNbXs+e6a32bsz4hzY/G/st1rIujtLT0pOeqqqpOevx0j534fz3pVLV46vzTHdvY8w09x/o2/VjWt3Xns76ePZ/19ez5TTm2uWvc1HU3an0bq9Hd57K+nj3XXetb+7yrCd239OgeZ+vWrYqJiTG6DAAAAJxGUVGR+vbt2+gxBN3jVFdXa/v27erUqZNMJpNhdTz99NOSpE2bNmnz5s16+umnNXDgQMPq8TdOp1NffPGFZs2apeXLlxtdjk+aN29e3X/etGmT7r//fpnNZuMK8jO8Rz2Lz1jPqv18KCkpkd1u16233qrzzz/f4Kr809NPP60xY8YE3Pq6XC4dOHBAvXv3VlBQ47eb0bpwnKCgoNP+ZeBp6enpysjIqAsNVqtVY8eOVWFhoSwWi6G1+QO73a6CggJFR0dr8+bN3M3aAlarVd98841yc3Ml1YSyadOmacmSJQZX5h94j3oWn7GelZqaqunTpyshIUGSZLPZlJiYqP379/PHsJs5HA7NmjVLeXl5Afk5ERUV1aTjmLrgZWw2m4qLi+u+T0pKktlsVnZ2toFV+Y+4uDilpKQoLi7O6FJ81pw5c5SRkVH3vdlsVnR0tGw2m4FV+Q/eo57FZ6xnFRcX1/0RLKnuj4eCggKjSvJbNpuNP86agKDrRZxOpxwOhxwOR73Ho6Oj5XQ6jSkKOI7T6ZTdbj/pw9VisdT75QZ4Iz5jPS83N7feHw12u12SNGHCBKNK8ktWq1UzZswwugyfQOvCcZxOp9LT02U2m5WZmdngcTabTXl5eYqNja37cExLS2v165vNZu3fv/+kxx0Oh8aPH9/qn280o9c3kLlr7WsDwon/BGk2m+t+oQUi3tue5a719ffP2Jby5Ps3OztbmZmZAd224O71rX0ukNe0OQi6qunZcjgcio+Pl81mq+stOhWr1ar58+fXu3pV24OUl5fn9tpycnJksViUkpLi9p/dVrx5ff2du9f++H/yPVFjz/kr3tue1Rbr6w+fsS3lyfXNyclRXl6eEhMTA/aPOU+t74IFCwLy/dpiTZjvG1Di4uJcKSkpp3xu//79LrPZ7Nq/f/8pz8vOznZrLbWvV1hY6NafayRvWd/CwkJXoL393bH2eXl5LkknHZeWluaKi4tzd8k+xd3v7UB8jzbGE58d/vgZ21KeWt+UlBRXWlqaO0v1Se5a3yVLltR7v1osFldeXp7b6/UnXNFthgULFshisZzynwuSk5OVnZ1d91eWzWZr8s0NDfU2zpw5UwsXLgyYZvO2Xl/8v6aufXR09CnPdzqdDT6H5r230XwtXd9A+4xtqZaub+1NfiaTSV26dAnYK7un05z1LSgo4LOimQi6zZCbm9vgL3OLxSK73S6n0ymz2ayEhIRG/5nidGpH4ATSnddtub6or6lrXxsIiouL630oFxcXB9R7tbma895G87VkfQPxM7almrO+qampSk9Pr/fHg8ViUV5eHkG3AU1d35ycHO3bt09ZWVl1zxcXFys7O1t2u531bQBTF5qhoKCgwb/8ax8/8W7elrBarUpMTKz3AZyTk9Pqn+vt2mp9cbKmrr3ZbFZcXNxJ/zs4HA4lJiZ6vE5fxXvbs5q7voH6GdtSTV1fu92unJyck97LJ/5hjPqaur5paWnKzMxUWlpa3ZfT6VRqaiohtxEE3WZoyhWX1v6ystlsys/PV3R0tOx2u+x2u6xWa6t+pq9oi/U9/rXw/5qz9hkZGfXaQWrXkivsDWvJe5v3aNM1Z30D+TO2pZq6vnFxcUpLS6v3WWCz2eR0OhudNhDo2vJ3XyCidcFNat+krbnz3Ol0avr06XI6nfX+aUJSwN+V7Y71lWo+LKxWa916Tp8+XfHx8UpJSeGKQwNOXPukpCQVFxcrJydH0dHRys/P18KFCw2s0LeduL68R93r+PXlM9b9Tnz/ZmRk1Fvb/Px8LVmyhD7oFmrod5/NZqu74JCZmUnrQiMIul6koRmPcB+LxVL3Tz5oueNvhkhKSjKwEv/De9Rz+Iz1PLPZzHu3DdTep8KOfqdH64Kb1P4zI3eeewbraxzW3rNYX89ifT2L9fUs1rf1CLoAAADwSwTdZrBYLA02hNf2z9CH1HKsr3FYe89ifT2L9fUs1tezWF/PIug2Q1xcXIN3Qte+SZnJ2HKsr3FYe89ifT2L9fUs1tezWF/PIug2Q2JiYoN/dRUWFjJeqZVYX+Ow9p7F+noW6+tZrK9nsb6eRdBthhkzZqi4uPiUb0ir1arU1FQDqvIfrK9xWHvPYn09i/X1LNbXs1hfzyLonsDpdDY4q9VsNmvu3LlKT0+v97jVapXFYmHMUhOwvsZh7T2L9fUs1tezWF/PYn2NY3K5XC6jizBaVlaW8vPz67YwlGpm1JnNZiUnJ5/0JrPZbMrLy1NsbGxdXw1zAxvG+hqHtfcs1tezWF/PYn09i/X1DgRdAAAA+CVaFwAAAOCXCLoAAADwSwRdAAAA+CWCLgAAAPwSQRcAAAB+iaALAAAAv0TQBQAAgF8i6AIAAMAvEXQBAADglwi6AAAA8EsEXQAAAPglgi4AAAD8EkEXAAAAfomgCwAAAL/0f44HwDlJH4PVAAAAAElFTkSuQmCC", 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", 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" ] @@ -2312,32 +1631,29 @@ } ], "source": [ - "t_arr_extedned = np.logspace(-1.9, 4.5, 1000) #hours\n", - "dgamma_values = np.array([10**(dgammadt_func_pbh_finite([[np.log10(1e-5), np.log10(t)]])) * s.efficiency(t) for t in t_arr_extedned])\n", - "plt.loglog(t_arr_extedned, dgamma_values)" + "plt.plot(ffps[3], ffps[4], 'o', markersize=0.1, label='FFPs', alpha=0.3)\n", + "plt.xlim(-750, 750)\n", + "plt.ylim(-800, 600)" ] }, { "cell_type": "code", - "execution_count": 457, + "execution_count": 47, "metadata": {}, "outputs": [ { - "name": "stderr", - "output_type": "stream", - "text": [ - "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_53778/3495266499.py:10: IntegrationWarning: The algorithm does not converge. Roundoff error is detected\n", - " in the extrapolation table. It is assumed that the requested tolerance\n", - " cannot be achieved, and that the returned result (if full_output = 1) is \n", - " the best which can be obtained.\n", - " return quad(gamma_wrapper, 0.25, 1825*24, epsabs=0, epsrel=1e-1)[0] * s.n_sources * s.obs_time\n", - "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_53778/3495266499.py:10: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", - " return quad(gamma_wrapper, 0.25, 1825*24, epsabs=0, epsrel=1e-1)[0] * s.n_sources * s.obs_time\n" - ] + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 47, + "metadata": {}, + "output_type": "execute_result" }, { "data": { - "image/png": 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", + "image/png": 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", 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" ] @@ -2347,61 +1663,30 @@ } ], "source": [ - "mass_arr = np.logspace(-12, 2, 50)\n", - "yield_pbh_arr = np.array([yield_pbh(m) for m in mass_arr])\n", - "plt.loglog(mass_arr, 4.74/yield_pbh_arr, label=\"PBH\")\n", - "plt.fill_between(mass_arr, 4.74/yield_pbh_arr, 1, alpha=0.5)\n", - "plt.ylim(1e-6, 1)\n", - "plt.xlabel(r\"$M_{PBH}$ [M$_\\odot$]\")\n", - "plt.ylabel(r\"$f_{\\rm{PBH}}$\")\n", - "plt.title('Projected Roman PBH Limits')\n", - "plt.show()\n" + "plt.plot(stars[3], stars[4], 'o', markersize=0.1, label='Stars', alpha=0.3)\n", + "plt.xlim(-750, 750)\n", + "plt.ylim(-800, 600)\n", + "plt.legend()" ] }, { "cell_type": "code", - "execution_count": 459, + "execution_count": 73, "metadata": {}, "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_53778/3495266499.py:5: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", - " return quad(gamma_wrapper, 0.25, 24*72*6, epsabs=0, epsrel=1e-1)[0] * 2.4e8 * 24*72*6\n" - ] - }, { "data": { - "image/png": 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", "text/plain": [ - "
" + "" ] }, + "execution_count": 73, "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "p_arr = np.linspace(0.66, 1.33, 6)\n", - "yield_ffp_arr = np.array([yield_ffp(p) for p in p_arr])\n", - "plt.plot(p_arr, yield_ffp_arr, label=\"FFP\")\n", - "plt.yscale(\"log\")\n", - "# plt.ylim(1e-6, 1)\n", - "plt.xlabel(r\"$p$\")\n", - "plt.ylabel(r\"Total Yield\")\n", - "plt.title('FFPs')\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 87, - "metadata": {}, - "outputs": [ + "output_type": "execute_result" + }, { "data": { - "image/png": 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", + "image/png": 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", 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" ] @@ -2411,108 +1696,31 @@ } ], "source": [ - "dN_dt = np.array([gamma_func_ffp_finite([[1, t]]) * s.efficiency(t) for t in np.logspace(-1.9,3,100)])\n", - "# plt.loglog(np.logspace(-1.9,3,100)/24, dN_dt*1e8 * 6*72*24 * 0.667)\n", - "plt.loglog(np.logspace(-1.9,3,100)/24, dN_dt* s.n_sources * s.obs_time)\n", + "plt.plot(stars[0], stars[2], 'o', markersize=0.1, label='Stars', alpha=0.2)\n", + "# plt.plot(ffps[0], ffps[2], 'o', markersize=0.1, label='FFPs', alpha=0.05)\n", + "plt.plot(ffps_smaller_r[0], ffps_smaller_r[2], 'o', markersize=0.1, label='FFPs less perturbed', alpha=0.05)\n", "\n", - "plt.xlim(0.01, 30)\n", - "plt.ylim(7e0, 1e4)\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Mass Sensitivity" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "metadata": {}, - "outputs": [], - "source": [ - "def differential_rate_mw_mass(m, tcad = 0.07, tobs= 3, finite=True):\n", - " # return s.ffp.differential_rate_mw_mass(m, tcad=tcad, tobs=tobs, finite=finite, epsabs=0, epsrel=1e-1)\n", - " return s.ffp.differential_rate_mw_mass(m, tcad=tcad, tobs=tobs, finite=finite, efficiency=s.efficiency)\n" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "100%|██████████| 40/40 [01:03<00:00, 1.58s/it]\n" - ] - } - ], - "source": [ - "m_arr = np.logspace(-10, 0, 40)\n", - "with Pool() as pool:\n", - " func = functools.partial(differential_rate_mw_mass, tcad=s.cadence, tobs=s.obs_time, finite=True)\n", - " d_gamma_d_ms = list(tqdm(pool.imap(func, m_arr), total=len(m_arr)))\n", - "d_gamma_d_ms = np.array(d_gamma_d_ms)" + "plt.legend()" ] }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 66, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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" + "" ] }, + "execution_count": 66, "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "plt.loglog(m_arr/3e-6, d_gamma_d_ms, label=f'Finite Source, Roman, p={p}', color='k')\n", - "\n", - "plt.ylim(1e-18, 1e-7)\n", - "plt.xlim(np.min(m_arr)/3e-6, 1e1)\n", - "\n", - "plt.xlabel(\"Mass [$M_{\\oplus}$]\")\n", - "plt.ylabel(r\"$d\\Gamma/dM$ [events/star/hr/mass]\")\n", - "plt.legend()\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 29, - "metadata": {}, - "outputs": [], - "source": [ - "roman_diff_rate_mw_interp_log = interp1d(np.log10(m_arr), np.log10(d_gamma_d_ms))\n", - "def diff_rates_m_mw_interp(m):\n", - " return 10**roman_diff_rate_mw_interp_log(np.log10(m))\n", - "roman_rates = np.array([quad(diff_rates_m_mw_interp, m_arr[i],m_arr[i+1])[0] for i in range(len(m_arr)-1)])\n", - "\n", - "mean_values = (m_arr[:-1] + m_arr[1:]) / 2\n", - "rate_interp_log = interp1d(np.log10(mean_values), np.log10(roman_rates))\n", - "\n", - "def roman_rates_interp(m):\n", - " return 10**rate_interp_log(np.log10(m))" - ] - }, - { - "cell_type": "code", - "execution_count": 30, - "metadata": {}, - "outputs": [ + "output_type": "execute_result" + }, { "data": { - "image/png": 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", + "image/png": 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", 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" ] @@ -2522,1012 +1730,10 @@ } ], "source": [ - "plt.plot(mean_values/3e-6, roman_rates, label=f'Finite Source, Roman, p={p}')\n", "\n", - "plt.xscale('log')\n", - "plt.xlabel(\"Mass [$M_{\\oplus}$]\")\n", - "plt.ylabel(r\"$\\Gamma(M)/\\Gamma_{\\rm{tot}}$ [events/star/hr]\")\n", - "# plt.title('MW lens w finite-source effects, M31 source')\n", - "plt.legend(loc='upper left')\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Comparison with Popsycle" - ] - }, - { - "attachments": { - "image.png": { - "image/png": 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" - } - }, - "cell_type": "markdown", - "metadata": {}, - "source": [ - "![image.png](attachment:image.png)" + "\n", + "plt.legend()" ] - }, - { - "cell_type": "code", - "execution_count": 108, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "1.025\n" - ] - } - ], - "source": [ - "# t_e_typical = 4.1 * (1e7)**(1/2) * (4)**(1/2) * (280/50)**(-1) / 24 # 30 solar mass, days\n", - "t_e_typical = 4.1 * (1)**(1/2) * (1)**(1/2) * (200/50)**(-1) #earth mass, hours\n", - "print(t_e_typical)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "t_e_typical = 4.1 * (1e7)**(1/2) * (4)**(1/2) * (280/50)**(-1) / 24 # 30 solar mass, days\n" - ] - }, - { - "cell_type": "code", - "execution_count": 88, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "0.0026355798207862223" - ] - }, - "execution_count": 88, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "4.1 * (1e-6)**(1/2) * (8)**(1/2) * (220/50)**(-1) #earth mass, hours" - ] - }, - { - "cell_type": "code", - "execution_count": 92, - "metadata": {}, - "outputs": [], - "source": [ - "nick_tes_30 = pd.read_csv('popsycle_data/nick-t_E-30msun-sep8-nocut.csv', header=None).values.flatten()\n", - "nick_tes_earth = pd.read_csv('popsycle_data/nick-t_E-earthmass-sep8.csv', header=None).values.flatten()\n", - "nick_tes_data = {\n", - " 3e-6: nick_tes_earth, \n", - " 30: nick_tes_30 \n", - "}" - ] - }, - { - "cell_type": "code", - "execution_count": 93, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "def plot_histograms(data_structure, nick_tes_data, num_samples=10000, num_bins=24):\n", - "\n", - " for m_pbh, nick_tes in nick_tes_data.items():\n", - " if m_pbh == 3e-6:\n", - " bins = np.logspace(-1, 1, num_bins)\n", - " elif m_pbh == 30:\n", - " bins = np.logspace(2.5, 4.5, num_bins)\n", - "\n", - " plt.figure()\n", - " for entity, entity_data in data_structure.items():\n", - " for finite_val, finite_data in entity_data.items():\n", - " if finite_val:\n", - " continue\n", - " for v_disp, v_disp_data in finite_data.items():\n", - " for p_or_mass, p_or_mass_data in v_disp_data.items():\n", - " if entity != 'pbh' or p_or_mass != m_pbh:\n", - " continue\n", - " # Calculate gamma(t) for each case\n", - " t_es_limited = np.logspace(np.log10(np.min(p_or_mass_data['t_es']))+0.1, np.log10(np.max(p_or_mass_data['t_es']))-0.1, 60)\n", - " gammas = np.array([gamma_of_t(p_or_mass_data['calculated_values'], t, t_es=p_or_mass_data['t_es']) for t in t_es_limited])\n", - " \n", - " # Sample crossing times\n", - " samples = sample_crossing_times(t_es_limited, gammas, num_samples)\n", - " \n", - " # Plot histogram\n", - " bin_counts, bin_edges = np.histogram(samples, bins=bins)\n", - " plt.bar(bin_edges[:-1], bin_counts/np.sum(bin_counts), width=np.diff(bin_edges), align=\"edge\", edgecolor=\"black\", label=f' LCP, Point, v_disp={v_disp}', alpha=0.5, color='blue')\n", - " plt.axvline(np.mean(samples), linestyle=\"--\", alpha=0.5)\n", - "\n", - " # Plotting for Popsycle data\n", - " bin_counts_popsycle, bin_edges_popsycle = np.histogram(nick_tes*24, bins=bins)\n", - " plt.bar(bin_edges_popsycle[:-1], bin_counts_popsycle/np.sum(bin_counts_popsycle), width=np.diff(bin_edges_popsycle), align=\"edge\", edgecolor=\"black\", label=r\"Popsycle $t_E$\", alpha=0.5, color='orange')\n", - " plt.axvline(np.mean(nick_tes*24), color='orange', linestyle=\"--\", alpha=0.5)\n", - "\n", - " plt.xscale('log')\n", - " plt.xlabel(r\"$t_E$ [hour]\")\n", - " plt.ylabel(\"Normalized Count\")\n", - " plt.title(f\"PBH, M = {m_pbh} $M_\\odot$\")\n", - " plt.legend()\n", - " plt.show()\n", - " \n", - "plot_histograms(data_structure, nick_tes_data)\n" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## FFPs" - ] - }, - { - "cell_type": "code", - "execution_count": 25, - "metadata": {}, - "outputs": [], - "source": [ - "nick_ffp_df = pd.read_csv('popsycle_data/nick-t_E-Lmass-ffp-06-combined.csv', header=None)\n", - "nick_ffp_tes = nick_ffp_df[0].values\n", - "nick_ffp_masses = nick_ffp_df[1].values\n", - "# nick_ffp_tes_sampled_066 = 10**(pd.read_csv('popsycle_data/p066-logtE-sampled.csv', header=None).values.flatten())\n", - "# nick_ffp_tes_sampled_100 = 10**(pd.read_csv('popsycle_data/p100-logtE-sampled.csv', header=None).values.flatten())\n", - "# nick_ffp_tes_sampled_133 = 10**(pd.read_csv('popsycle_data/p133-logtE-sampled.csv', header=None).values.flatten())\n", - "nick_ffp_tes_sampled_066 = 10**(pd.read_csv('popsycle_data/lower1e-12-p066-logtE-sampled.csv', header=None).values.flatten())\n", - "nick_ffp_tes_sampled_100 = 10**(pd.read_csv('popsycle_data/lower1e-12-p100-logtE-sampled.csv', header=None).values.flatten())\n", - "nick_ffp_tes_sampled_133 = 10**(pd.read_csv('popsycle_data/lower1e-12-p133-logtE-sampled.csv', header=None).values.flatten())\n", - "\n", - "nick_ffp_tes_data = {\n", - " 0.66: nick_ffp_tes_sampled_066,\n", - " 1.0: nick_ffp_tes_sampled_100,\n", - " 1.33: nick_ffp_tes_sampled_133\n", - "}" - ] - }, - { - "cell_type": "code", - "execution_count": 31, - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_44185/3285702519.py:8: RuntimeWarning: divide by zero encountered in log10\n", - " diff_rates_interp_log = interp1d(np.log10(t_es), np.log10(dgamma_dt))\n" - ] - }, - { - "data": { - "image/png": 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", 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", 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "#With extended mass function, but cuts on t_duration at low and high\n", - "def plot_ffp_histograms(data_structure, nick_ffp_tes_data, num_samples=10000, num_bins=20):\n", - " # bins = np.logspace(-2.5, 2, num_bins)\n", - " bins = np.logspace(-4, 2, num_bins)\n", - "\n", - "\n", - " for p_val, nick_ffp_tes_sampled in nick_ffp_tes_data.items():\n", - " plt.figure()\n", - " for entity, entity_data in data_structure.items():\n", - " for finite_val, finite_data in entity_data.items():\n", - " if finite_val:\n", - " continue\n", - " for v_disp, v_disp_data in finite_data.items():\n", - " for p_or_mass, p_or_mass_data in v_disp_data.items():\n", - " if entity != 'ffp' or p_or_mass != p_val:\n", - " continue\n", - "\n", - " # Calculate gamma(t) for each case\n", - " t_es_limited = np.logspace(np.log10(np.min(p_or_mass_data['t_es']))+0.1, np.log10(np.max(p_or_mass_data['t_es']))-0.1, 60)\n", - " gammas = np.array([gamma_of_t(p_or_mass_data['calculated_values'], t, t_es=p_or_mass_data['t_es']) for t in t_es_limited])\n", - " \n", - " # Sample crossing times\n", - " samples = sample_crossing_times(t_es_limited, gammas, num_samples)\n", - " \n", - " # Plot histogram\n", - " bin_counts, bin_edges = np.histogram(samples, bins=bins)\n", - " plt.bar(bin_edges[:-1], bin_counts/np.sum(bin_counts), width=np.diff(bin_edges), align=\"edge\", edgecolor=\"black\", label=f'LCP, Point v_disp={v_disp}', alpha=0.5, color='blue')\n", - " plt.axvline(np.median(samples), linestyle=\"--\", alpha=0.5)\n", - " plt.title(f\"FFP, p = {p_val}, v_disp = {v_disp}\")\n", - " \n", - " # Plotting for Popsycle data\n", - " bin_counts_popsycle_sampled, bin_edges_popsycle_sampled = np.histogram(nick_ffp_tes_sampled, bins=bins)\n", - " plt.bar(bin_edges_popsycle_sampled[:-1], bin_counts_popsycle_sampled/np.sum(bin_counts_popsycle_sampled), width=np.diff(bin_edges_popsycle_sampled), align=\"edge\", edgecolor=\"black\", label=r\"Popsycle $t_E$ Sampled\", alpha=0.5, color='orange')\n", - " plt.axvline(np.median(nick_ffp_tes_sampled), color='orange', linestyle=\"--\", alpha=0.5)\n", - "\n", - " plt.xscale('log')\n", - " plt.xlabel(r\"$t_E$ [hour]\")\n", - " plt.ylabel(\"Normalized Count\")\n", - " plt.legend()\n", - " plt.show()\n", - "\n", - "plot_ffp_histograms(data_structure, nick_ffp_tes_data)\n" - ] - }, - { - "cell_type": "code", - "execution_count": 51, - "metadata": {}, - "outputs": [], - "source": [ - "#px, py, pz, vx, vy, vz\n", - "stars = np.load('popsycle_data/star.npy')\n", - "ffps = np.load('popsycle_data/ffp.npy')\n", - "ffps_smaller_r = np.load('popsycle_data/ffp_smaller_r.npy')" - ] - }, - { - "cell_type": "code", - "execution_count": 46, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "(-800.0, 600.0)" - ] - }, - "execution_count": 46, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "plt.plot(ffps[3], ffps[4], 'o', markersize=0.1, label='FFPs', alpha=0.3)\n", - "plt.xlim(-750, 750)\n", - "plt.ylim(-800, 600)" - ] - }, - { - "cell_type": "code", - "execution_count": 47, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 47, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "plt.plot(stars[3], stars[4], 'o', markersize=0.1, label='Stars', alpha=0.3)\n", - "plt.xlim(-750, 750)\n", - "plt.ylim(-800, 600)\n", - "plt.legend()" - ] - }, - { - "cell_type": "code", - "execution_count": 73, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 73, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "plt.plot(stars[0], stars[2], 'o', markersize=0.1, label='Stars', alpha=0.2)\n", - "# plt.plot(ffps[0], ffps[2], 'o', markersize=0.1, label='FFPs', alpha=0.05)\n", - "plt.plot(ffps_smaller_r[0], ffps_smaller_r[2], 'o', markersize=0.1, label='FFPs less perturbed', alpha=0.05)\n", - "\n", - "plt.legend()" - ] - }, - { - "cell_type": "code", - "execution_count": 66, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 66, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "\n", - "\n", - "plt.legend()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Stats" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "def my_cdf(sample, x):\n", - " # Counts how many observations are below or equal to x and normalize\n", - " return np.sum(sample <= x) / len(sample)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "num_samples_pbh = 1000\n", - "num_samples_ffp = 1000\n", - "\n", - "samples_pbh = sample_crossing_times(t_es_limited, gammas_pbh, num_samples_pbh)\n", - "samples_ffp = sample_crossing_times(t_es_limited, gammas_ffp, num_samples_ffp)\n", - "\n", - "num_bins = 20\n", - "bin_counts_pbh, bin_edges_pbh = np.histogram(samples_pbh, bins=np.logspace(np.log10(s.cadence), np.log10(s.obs_time), num_bins))\n", - "bin_counts_ffp, bin_edges_ffp = np.histogram(samples_ffp, bins=np.logspace(np.log10(s.cadence), np.log10(s.obs_time), num_bins))\n", - "\n", - "# Plotting the histogram\n", - "plt.bar(bin_edges_pbh[:-1], bin_counts_pbh, width=np.diff(bin_edges_pbh), align=\"edge\", edgecolor=\"black\", label=\"PBH\", alpha=0.5)\n", - "plt.bar(bin_edges_ffp[:-1], bin_counts_ffp, width=np.diff(bin_edges_ffp), align=\"edge\", edgecolor=\"black\", label=\"FFP\", alpha=0.5)\n", - "plt.xscale('log')\n", - "plt.xlabel(\"$t_E$ [hr]\")\n", - "plt.ylabel(\"Count\")\n", - "plt.title(r\"$M_{\\rm{PBH}} = $\" + scientific_format_less(s.pbh.mass) + r\"$M_\\odot$, p = {}\".format(s.ffp.p))\n", - "plt.legend()\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "def ks_2samp(sample1, sample2):\n", - " # Gets all unique observations\n", - " observations = np.unique(np.concatenate((sample1, sample2)))\n", - " \n", - " # Computes the CDF for both samples at each observation\n", - " cdf_sample1 = np.array([my_cdf(sample1, x) for x in observations])\n", - " cdf_sample2 = np.array([my_cdf(sample2, x) for x in observations])\n", - "\n", - " # Computes the KS statistic\n", - " D_ks = np.max(np.abs(cdf_sample1 - cdf_sample2))\n", - "\n", - " # Calculates the P-Value based on the two-sided test\n", - " m, n = float(len(sample1)), float(len(sample2))\n", - " #Should this just be m or n if they're the same length?\n", - " en = m * n / (m + n)\n", - " p_value = stats.kstwo.sf(D_ks, np.round(en))\n", - "# print(D_ks, np.sqrt((m + n)/(m * n))*1.36)\n", - " # p_value = stats.kstwo.sf(D_ks, np.round(np.sqrt(en)))\n", - "\n", - " return {\"ks_stat\": D_ks, \"p_value\" : p_value}" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [ - { - "ename": "NameError", - "evalue": "name 'gammas_pbh' is not defined", - "output_type": "error", - "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m\n", - "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)\n", - "\u001b[0;32m/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_42445/3115951314.py\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n", - "\u001b[1;32m 1\u001b[0m \u001b[0mnum_samples_pbh_temp\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;36m0\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[1;32m 2\u001b[0m \u001b[0;32mwhile\u001b[0m \u001b[0;32mTrue\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[0;32m----> 3\u001b[0;31m \u001b[0msamples_pbh\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0msample_crossing_times\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mt_es_limited\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mgammas_pbh\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mnum_samples_pbh_temp\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[0m\u001b[1;32m 4\u001b[0m \u001b[0msamples_ffp\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0msample_crossing_times\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mt_es_limited\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mgammas_ffp\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mnum_samples_ffp\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[1;32m 5\u001b[0m \u001b[0msamples_both\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mconcatenate\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0msamples_pbh\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0msamples_ffp\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - "\n", - "\u001b[0;31mNameError\u001b[0m: name 'gammas_pbh' is not defined" - ] - } - ], - "source": [ - "num_samples_pbh_temp = 0\n", - "while True:\n", - " samples_pbh = sample_crossing_times(t_es_limited, gammas_pbh, num_samples_pbh_temp)\n", - " samples_ffp = sample_crossing_times(t_es_limited, gammas_ffp, num_samples_ffp)\n", - " samples_both = np.concatenate((samples_pbh, samples_ffp))\n", - " ks = ks_2samp(samples_ffp, samples_both)\n", - " if ks[\"p_value\"] < 0.05:\n", - " break\n", - " num_samples_pbh_temp += 5\n", - "\n", - "print(\"Fraction of pbh samples needed to distinguish: \", num_samples_pbh_temp/num_samples_ffp)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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D7e7uEpQBRC64e/HRqRInqVQqkjR2dzgmKAMYKx+be0Gf/KQVdRkAcGE5jiPbtnuaN+z7vra2tpTP51Uul5VIJEZQYXgIygAAADAqFosdc4SDxX3lcrnrNaVSqWPOcaPRUCqVOnHHiiB8HxbcGTlKBGUAAAAYDbIlWyaTObY4z3VdLSwsqFgsKpPJHLsmn88bX6dUKvX12mF7KtJXBwAAwMSLx+PtvZDHCUEZAAAAQxeMGLuuG3ElvSMoAwAAYOiCgNzPbhlRY44yAABAn+43fxx1CceEWVOw33FYC+oqlYpqtVrXnTJMrxMcu3PnTig1DIKgDAAA0KOZmRldnnlOd/7qm/ow6mIMLs88d+ptmU/i+77W19fb+x47jqN4PH7iVnBHr1ldXW1Ps/B9v73vcrVabW8Pd9rrFAoFVatVSZ17MPe7sPCsplqtVmukrzjB+rl3OHAWF/FWzp7n6Xe/8Yr+0Rf/wYXbR/lHP/L17T/+G/2Lf/Z/6Gd+5meiLge48N59913t7e1FXYbRzMyMPv7xj0ddxrnWT15jRBkYMxf1Vs4fvH9Pt956S7/4IUERQLQ+/vGPE0YvCIIyMGYu6q2c/7bxIzW+9QMdHBxEXQoA4IIgKANj6qLdyvmd987nx5wAgMnF9nAAAACAAUEZAAAAMCAoAwAAAAYEZQAAAMCAoAwAAAAYEJQBAAAAA4IyAAAAYEBQBgAAAAy44QgAAEAfdnd3de/evajLMHruuec0OzsbdRkTg6AMAADQo93dXf2L3/3ftf/+e1GXYjT9wsf0T37rnxKWQ0JQBgAA6NG9e/e0//57+qX4c7psPR91OR3u+B/oz9z3dO/evYGDsu/7chxHtVpNnucpkUjItm1ZliXf9+V5nur1unzfV6vVCq19oNlsamlpSblcLqwfy5kQlAEAAPp02Xpen/jYi1GXYXC2KSGWZalYLKpUKimbzapYLHYEWelJmL5+/bo8z5Nt26G3TyaT2tzc1Pb29pm+lzCwmA8AAAA9syxLa2tr8jxv4PaxWKxr+2KxKNd1VSgUzlzrWRGUAQAA0JdEItFzUO63fTDCXK1WB6otTARlAAAAnMrzPNVqNUlPRokTiUSo7Q9fJ0nxePwM1YaDoAwAAIBTHR0RPjq3+KztA47jyLZt5fP5/gocAhbzAQAAwCifz7d3sNja2lK5XA61fbFY1OXLl9uPG42GbNs+9bpRISgDAADAKBjd9X1/KO2z2WzPI81RYOoFAAAATmRZlhzHGVr784oRZQAAAJzKtu2+Rn/7bX8eMaIMAAAAGBCUAQAAYNTrXON+2zebzYGef9SYegEAANCnO/4HUZdwTBg1+b6v9fV1VSoVSdLq6qoSiYSSyaRxH+SztnccR/F4/FxsBWdCUAYAAOjRc889p+kXPqY/c9+TdC/qco6ZfuFjeu655wa+3rIs5fP5noPrsNtHjaAMAADQo9nZWf2T3/qnunfv/IVk6UmQn52djbqMiUFQBgAA6MPs7Cxh9IJgMR8AAABgQFAGAAAADAjKAAAAgAFBGQAAADAgKAMAAAAGBGUAAADAgKAMAAAAGBCUAQAAAAOCMgAAAGDAnfkAAAD6cP/+fT148CDqMoyeeeYZXbp0KeoyJgZBGQAAoEf379/Xt/7tn2nnww+iLsVo7tnn9ctf+CXCckgIygAAAD168OCBdj78QJfsv6dnn3su6nI6fHjvnna8H+rBgwcDB2Xf9+U4jmq1mjzPUyKRUDweb59rNpuKxWLK5/OyLGug55fUca3runIcR/V6XeVyWYlEYqDah4GgDAAA0Kdnn3tOz8+8GHUZx9w/4/WWZalYLKpSqSidTqtcLh8LxNlsVlevXtWtW7f6Dsv1el2xWKwdviUpHo+rWq1qamrqjNWHb6wX85VKJTmOo2QyqYWFBTmOY2yXTqeVzWbluq6kJ3/N1Go1pdPp9rHDarWaHMdRqVRSoVBQoVAY6vcBAAAwLvL5fHvkuV/lcrnruUFGqIdtbEeUHcdRNptVJpOR9CT8ptNpzc3NHfsLx/d9VSoVlUql9jHLslQulzv+opGkSqWizc3Njo6s1WpKJpOqVqvD/aYAAADOuSBjNZvNvq6r1WoqlUrKZrNDqGo4xjIoVyoVraysyLbt9rEg+M7NzSmdTneE2ng8Lsdx2qPHtm0rlUode17f97W6uqpbt251HE8kEu0R5iCYAwAAXESVSkWSjgVe13W1ubmp+fl5SU9yVS6Xk/QkJAeDkOvr6+0Ml8/njz1/MLDZaDS6thmVsQzKN2/eNAZdy7KUyWRUKpXk+37HqHIikTh1cvjW1pZs2zYO/a+srKhYLBKUAQDAheT7vra2tpTP548tuqvVasrn8x0DlYfnOQc5rFQqaW1t7dgn+oFyudyxUHBubk5LS0vG3DcKYzlHuVQqKZlMGs8tLCxIejJZvF/lclmxWMx4zrZtua7bXq0JAAAw6UqlUvtra2tLjUZDqVSq41N96cno8tE5y6lUSrVarT0C3QvLsjoGLBcXF3Xz5s0zfQ9nMZYjyouLi13PBUG2W+A9Sb1e1/LysvFc8D+E53ld/woCAACYJJlM5tgn7a7ramFhof1Ju+u68jzPmM8SiYQ2Nzd7HhFeWlrqeBz1Ar+xDMonLaoL5rMcDbOe56lWq3W0W1tbO7bo77QOISgDAICLLB6PK5VKtTdVCD7F75ahPM8bYXXhGsugfBLTgjvP8+S6bsfx4K+h7e3tnv5a6WeF597eXsfj6elpTU9Pn148AADAGAg+aXddt/3f3QYcj07TCHie176pyTDt7+9rf3+//fhoTjvJWM5R7sZxHNm2fWx1ZLlcPjbkH4/HFY/Htbq6GnodV65c0ezsbPtrfX099NcAAACISrCTWDweVyKRkGVZHZ/cB4ItdrsZZKpsv9bX1zty2ZUrV3q+dmKCsuu6KpVKqlarPc9nSSaTPU8w72fu8+3bt7W7u9v+Wltb6+k1AAAAzrtKpdLe5SKwsbFxbGCwVCppcXGx4xP9eDzenqrhuu6p01l93z/zRgpra2sduez27ds9XzsxUy/S6bRu3LjRdXjfJAi9vXRUP2ZmZjQzMxPa8wEAgPPlw3v3oi7hmDBq8n1f6+vr7YHE1dXVjqkVwXzjarXaMWUi2AnDcRzNz8+3w+3RdWUbGxtyHEe+73dM3ygWi+3XbjabWl5e1vr6uur1ejtYF4vFgb6ns0yBnYignEwmVSwWjWE3m83KsizjZtVH5x3btt11wvnhNgAA4GJ65plnNPfs89rxfqj7URdjMPfs83rmmWcGvj7ITIPc5COY1npam6PhOR6Pq1gsHgvCg9YRprEPysG+fd0mgm9tbXU9F4TiYDuTeDzedXg/aMuOFwAAXFyXLl3SL3/hl/TgwYOoSzF65plndOnSpajLmBhjHZQLhYLS6fSxIHx4FWUmk+n610i1Wu24E18ymezattFoDH1VJgAAOP8uXbpEGL0gxnYxX6VSaa+0POrwViVLS0vtlZmH+b6vSqXSEYyXl5fVbDaN0y8qlcqxe5oDAABgco3liHIw6TudTqtUKrWPB9MmNjc3tb29LUntDbGz2WzHtInr168rk8l0bBtnWVZ7knm5XG4fr1Qqsm07svuMAwAAYPTGMihfv35dvu8b9+uTji+4KxaLKhQK2tzclO/7ajabWltbMwbfVColy7JOXbUJAACAyTaWQXlnZ6fva3K5XM9tE4kE85EBAAAuuLGdowwAAAAME0EZAAAAMCAoAwAAAAYEZQAAAMCAoAwAAAAYEJQBAAAAA4IyAAAAYEBQBgAAAAwIygAAAIABQRkAAAAwICgDAAAABgRlAAAAwICgDAAAABgQlAEAAAADgjIAAABgQFAGAAAADAjKAAAAgAFBGQAAADAgKAMAAAAGBGUAAADAgKAMAAAAGBCUAQAAAAOCMgAAAGBAUAYAAAAMCMoAAACAAUEZAAAAMCAoAwAAAAYEZQAAAMCAoAwAAAAYEJQBAAAAA4IyAAAAYEBQBgAAAAwIygAAAIABQRkAAAAwICgDAAAABgRlAAAAwICgDAAAABgQlAEAAAADgjIAAABgQFAGAAAADAjKAAAAgAFBGQAAADAgKAMAAAAGBGUAAADAgKAMAAAAGBCUAQAAAAOCMgAAAGBAUAYAAAAMCMoAAACAAUEZAAAAMCAoAwAAAAYEZQAAAMCAoAwAAAAYEJQBAAAAA4IyAAAAYEBQBgAAAAwIygAAAIABQRkAAAAw+GjUBZxFqVRSo9GQ67pqNptKJBLK5/PGtrVaTdVqVfPz8/J9X5KUy+XO3BYAAACTaWyDsuM4ymazymQykiTf95VOpzU3N6dbt27Jsqx220qlos3NTZXL5faxWq2mZDKparXa8bz9tAUAAMDkGsupF5VKRSsrK7Jtu33MsiyVy+V2YA74vq/V1VVtbGx0PEcikVCz2VSpVBqoLQAAACbbWAblmzdvKh6PHztuWZYymYxqtVp7ysTW1pZs2+4YYQ6srKyoWCy2H/fTFgAAAJNtLINyqVRSMpk0nltYWJAk1et1SVK5XFYsFjO2tW1bruu2Q3U/bQEAADDZxjIoLy4udj0XBNkg8Nbr9Y4pGocFxz3P67stAAAAJttYBuVqtdp1YV2j0ZCk9tQM3/eNUykOC8JvP20BAAAw2cZ214tuSqVSeyeM0wShuNlshtp2b2+v4/H09LSmp6d7qgkAAADh2d/f1/7+fvvx0Zx2krEcUe7GcRzZtt11L+VRuXLlimZnZ9tf6+vrkdYDAABwUa2vr3fksitXrvR87cSMKLuuq1KppO3t7VOnTwSOzmcOq+3t27c1MzPTfsxoMgAAQDTW1tb08ssvtx/v7e31HJYnJiin02nduHGj62K8UZqZmekIygAAAIjGWabATsTUi2QyqWKxaNxb2bbtrgvwgvnGQbjupy0AAAAm29gH5Ww2K8dxlEgkjOfj8XjXvY+DUBwE7H7aAgAAYLKNdVAuFApKp9PHQrLnearVapKejDZ3GyVuNBod1/bTFgAAAJNtbINypVJRPB43hlfXddtTJJaXl9VsNo0BuFKpKJvNth/30xYAAACTbSwX87muq2KxqHQ6rVKp1D4eTJvY3NzU9va2pCf7H29sbMhxHJXL5XbbSqUi27aVSqXax/ppCwAAgMk2lkH5+vXr8n2/Pb3iqKML7lKplCzLkuM4mp+fbwdq0939+mkLAACAyTWWQXlnZ6fvaxKJRM9zjPtpCwAAgMk0tnOUAQAAgGEiKAMAAAAGBGUAAADAgKAMAAAAGBCUAQAAAAOCMgAAAGBAUAYAAAAMCMoAAACAAUEZAAAAMCAoAwAAAAZjeQtrQJLefvtt7e7uRl3GyHmep4MHD6IuAwCAiUdQxlh6++239Zsvf1l3H9yNupSR++D9e7r11lv6xQ9/JupSAACYaARljKXd3V3dfXBX8V/4tD4290LU5YzU3zZ+pMa3fqCDg4OoSwEAYKIRlDHWPjb3gj75SSvqMkbqnff2oi4BAIALgcV8AAAAgAFBGQAAADAgKAMAAAAGBGUAAADAgKAMAAAAGBCUAQAAAAOCMgAAAGBAUAYAAAAMCMoAAACAAUEZAAAAMBjpLay/973vSZJisZhmZmZG+dIAAABAX0INyr/+67+ub3zjG13PV6tVSZLv+2o0Gvrc5z6n3/qt3wqzBAAAACAUoQblWq124vnV1dWOx6+99pp+93d/l7AMAACAcyfUOcqtVquv9teuXVOj0QizBAAAACAUoQblqampvq/xPC/MEgAAAIBQhBqUm81mT+329vb0+uuv6wtf+EKYLw8AAACEZqA5ysvLy/I8T57naXd3t+PcRz7ykZ6fx7bt9gI/AAAA4DwZKChvbW21/7tWqymfz+vGjRuamprS9evXe3qOZDKpTCaj2dnZQUoAAAAAhurMu14kEgklEglls1l95zvf0be//e0w6gIAAAAiFdoc5WKx2PeuFwAAAMB5FepiPsdxwnw6AAAAIDKhBuWjNxTpxU//9E+HWQIAAAAQilCD8iDu3LkTdQkAAADAMaHewlp6skdyqVRStVo9dV9l0/ZyAAAAwHkQalDe3d3V1atX5ft+z9cMcjc/AAAAYNhCn6O8uLio7e1tPX78+NSvZrMpy7LCLAEAAAAIRagjyp7nqV6v99zesizNzc2FWQIAAAAQilBHlBcXF/u+plwuh1kCAAAAEIpQg/Igo8PXrl0LswQAAAAgFKEG5Vgspu9973t9XfOd73wnzBIAAACAUIQalL/yla/olVde0d7eXs/XZLPZMEsAAAAAQhH6Psqvvvqq1tbWJEnJZFK2bSsWixnbNhqNU/daBgAAAKIQalB+6qmnOvZFLhQKYT49AAAAMDKhBmXbtuV5nhKJRE/7IzcaDb3++uthlgAAAACEItSgbFmWKpWKfvVXf7Xnay5fvhxmCQAAAEAoQt9H2bbtvq65evVqmCUAAAAAoQh1RPnVV1/t+5p+7uQHAAAAjEqoI8oAAADApIg0KO/u7mppaSnKEgAAAACjSINyvV6X7/tRlgAAAAAYhTpHud/RYdd1e9pGDgAAABi1UINyo9HoeYTYsizNzs6G+fIAAABAaEKdemHbtrLZrB4/ftz1a2dnR1tbW1peXpbrurpz506YJQAAAAChCDUox2IxpdPpE9vMzs4qlUrp1VdfVbFY1N7eXpglAAAAAKEINSgXi0V9/vOf77n9+vq61tfXB3493/eVzWblOE7XNul0WtlsVq7rtq+p1WpKp9PtY4fVajU5jqNSqaRCoaBCoTBwfQAAABhfoc5RHuQue61Wq+9rHMeR53laWlpSrVZTIpHo2tb3fVUqFZVKpfYxy7JULpcVj8c72lYqFW1ubqpcLreP1Wo1JZNJVavVvusEAADA+Ao1KA9id3e372vy+Xz7vzc3N09sG4/H5ThOe/TYtm2lUqlj7Xzf1+rqqm7dutVxPJFItEeYM5lM37UCAABgPEUelD3PG/prJBKJE0edJWlra0u2bRu3q1tZWVGxWCQoAwAAXCChBuV+FuZ5nqf19XXZth1mCQMrl8uKxWLGc7Zty3Vd+b7Pvs8AAAAXRKhB2bIsTU1N9dX+6FSHqNTrdS0vLxvPBWHe87xj85oBAAAwmUINyrZty/M84xzgw2KxmBYWFrS8vKyZmZkwSzDyPE+1Wq39uNFoaG1trWN0uJfRYoIyAADAxRH6iHKpVNKXvvSlMJ/2TDzPk+u6HfOLXdfVwsKCtre3e5pKEbRpNps9vebRKSjT09Oanp7uuWYAAACEY39/X/v7++3H/UwVDjUoLy4unps5x4HDW70F4vG44vG4VldXjefP6sqVKx2Pv/a1r+nrX/966K8D4OLY/3B/JIufz6PZ2Vl94hOfiLoMAGNqfX1dv/M7vzPQtaEG5VdffTXMpxuqZDKpbDbbU1vf9yWp62K/o27fvt0xpYTRZABnsfv+ff2d9z298nv/TJeeuxR1OSP34jMv6vf++b8kLAMYyNraml5++eX24729vWODmt0MfXu4vb09eZ6nZrMp27b12c9+dtgv2ZMg9LquG/q845mZmZHMvQZwMex/eKDW01P6B//Tp3T1yk9FXc5Ivbfzvtx//wPt7u4SlAEM5CxTYIcWlF9//XWtrq4eu030/Py88vm8fuVXfmVYL92WzWZlWVbHDUoCR+cdBwsRTQ63AYCozFnP65OftKIuAwAujKeG8aQvvfSS4vG4tre3NTs7q6tXr+rq1auanZ3VG2+8oVQqpV/7tV8bxkt32Nra6hp+g+OLi4uSnsxbDqZYdGvLjhcAAAAXR+hBeW1tTfV6XdVqVY8fP1az2dQbb7yhN954Q81mUzs7O/rGN76her2uL3/5y2G/fIdMJtN1sV61Wu24E18ymewaqhuNxql39gMAAMBkCTUov/baa6pWq6rX67p+/bqxzezsrDKZTDs8v/7662GW0GFpaenY1A/pyeK8SqXSMSVjeXlZzWbTGJYrlUrPC/8AAAAwGUINyqVSSTdu3Oi5/dbWltbX18/0mr7vd93fOJVKqVgsHgvL169fVyaT6bgximVZ2tjYkOM4HW0rlYps2z71JioAAACYLKEu5mu1Wpqdne25vWVZ2tnZ6ft1CoWCbt68Kc/z2l/JZFKWZWllZaUj1BaLRRUKBW1ubrZD9dramjH4plIpWZYlx3E0Pz/fnrNcrVb7rhEAAADjLdSgPDc31/c1g+wkkcvlhtY+kUgwHxkAAADhTr3otmvESQYZUQYAAACGLdSg3Gq19P3vf7/n9q+//vpAo9AAAADAsIU69SKXyymRSMh1Xb344osntr1165auX7+u7e3tMEsAAAAAQhHqiLJt21pfX9dnP/tZ/fZv/7Zef/117e3ttc/v7e3pO9/5jlZWVvS5z31Or7zyyrm5pTUAAABwWOi3sE6lUmo2m3rppZeMt46WnkzRyOfzWl1dDfvlAQAAgFAM5RbWmUxGzWZTX/rSlzQ7O6tWq9X++uIXv6hGo6GvfOUrw3hpAAAAIBShjygHLMtSsVhUsViUJO3u7va1xzIAAAAQpaGMKJsQkgEAADBOeh5R/upXv6rd3d2u5y3LMt6O+rXXXlOxWNTi4qISiQSL9wAAADAWeg7Ka2tryuVy2tjY0NTUlFqtlizLUiKRUDKZ1PLysvG6a9euKZ/Py/M8vfLKK9rZ2VE+nycwAwAA4FzreerF7OysisWitre31Wq15DiOms2mtra2tLq6euLUitnZWV27dk2vvvqq1tfXlclk9Od//uehfAMAAADAMPS1mG93d1df/epXtb29rWvXrg30grZt69vf/raWl5cVi8X0sz/7swM9DwAAADBMfS3my2QyyuVyA4fkw0qlkr70pS+d+XkAAACAYeg5KN+4cUNXr17V9evXQ3lhy7K0vLysb37zm6E8HwAAABCmnoNyqVTSSy+9FOqLp1Kp9j7LAAAAwHnSc1B2XTf0nSquXr0qz/NCfU4AAAAgDCO74QgAAAAwTnoOys1mcygFDOt5AQAAgLPoOShfvXpVr7/+eqgv/tprr+nq1auhPicAAAAQhp6DciKRCH3hXalUUjKZDPU5AQAAgDD0HJSXl5dVKpX0/e9/P5QXvnXrlkqlklZWVkJ5PgAAACBMPQfleDyuz3/+80qn06G88PLyshKJhH7u534ulOcDAAAAwtTXLayLxaI+97nP6ed//ud148YNvfjii32/4N7enj7/+c/rtddeU6PR6Pt6AAAAYBT62h7Otm1tbW2pXq/r6tWr+sM//MO+XuwP/uAPdPXqVb322mva2toKfV9mAAAAICx9jShLT+6m9+qrr+qll15SJpNRLpfT8vKyksmkbNuWZVmKxWJqNpvyfV+e56larWpra0u+76vVaqlYLOqLX/ziML4fAAAAIBR9B2VJymQyWlxcVDqdbi/KK5VKJ17TarVk27bK5bKuXbs2ULEAAADAqAx8Z754PK5Go6FXX31V165dU6vV6vp17do1FYtFvfHGG4RkAAAAjIWBRpQPy2QyymQy2t3dVb1el+d58n1flmXJtm0tLi5qdnY2jFoBAACAkTlzUA7Mzs7q+vXrun79elhPCQAAAERm4KkXAAAAwCQjKAMAAAAGBGUAAADAgKAMAAAAGBCUAQAAAAOCMgAAAGBAUAYAAAAMCMoAAACAAUEZAAAAMCAoAwAAAAYEZQAAAMCAoAwAAAAYEJQBAAAAA4IyAAAAYEBQBgAAAAwIygAAAIABQRkAAAAwICgDAAAABgRlAAAAwICgDAAAABgQlAEAAAADgjIAAABgQFAGAAAADAjKAAAAgAFBGQAAADAgKAMAAAAGBGUAAADAgKAMAAAAGBCUAQAAAIOPRl3AWfi+L8dxZFmW8vl813a1Wk3ValXz8/PyfV+SlMvlztwWAAAAk2ssg7LjOPI8T0tLS6rVakokEl3bVioVbW5uqlwut4/VajUlk0lVq9WB2wIAAGCyjeXUi3w+r3K5rFwuJ8uyurbzfV+rq6va2NjoOJ5IJNRsNlUqlQZqCwAAgMk3lkG5V1tbW7Jt2ximV1ZWVCwWB2oLAACAyTfRQblcLisWixnP2bYt13Xb85D7aQsAAIDJN9FBuV6vy7Zt47nguOd5fbcFAADA5JvooOz7/olzmKWfhN9+2gIAAGDyjeWuF2EIQnGz2Qy1rSTt7e11PJ6entb09HRf9QEAAODs9vf3tb+/3358NKedZKJHlKNy5coVzc7Otr/W19ejLgkAAOBCWl9f78hlV65c6fnaCzuiHCzM67aAb9C2knT79m3NzMy0HzOaDAAAEI21tTW9/PLL7cd7e3s9h+ULG5SHaWZmpiMoAwAAIBpnmQI70VMvbNvuugAvmG8c7GjRT1sAAABMvokOyvF4vOvex0EojsfjfbcFAADA5JvooJxMJruOEjcaDSUSiYHaAgAAYPJNdFBeXl5Ws9k0BuBKpaJsNjtQWwAAAEy+sQ/Kvu933d/YsixtbGzIcZyO45VKRbZtK5VKDdQWAAAAk28sd70oFAq6efOmPM9rfyWTSVmWpZWVlY5Qm0qlZFmWHMfR/Px8ex5ytVo99rz9tAUAAMBkG8ugnMvl+mqfSCR6nmPcT1sAAABMrrGfegEAAAAMA0EZAAAAMCAoAwAAAAYEZQAAAMCAoAwAAAAYEJQBAAAAA4IyAAAAYEBQBgAAAAwIygAAAIABQRkAAAAwICgDAAAABgRlAAAAwICgDAAAABgQlAEAAAADgjIAAABgQFAGAAAADAjKAAAAgAFBGQAAADAgKAMAAAAGBGUAAADAgKAMAAAAGBCUAQAAAAOCMgAAAGBAUAYAAAAMCMoAAACAAUEZAAAAMCAoAwAAAAYEZQAAAMCAoAwAAAAYEJQBAAAAA4IyAAAAYEBQBgAAAAwIygAAAIABQRkAAAAwICgDAAAABgRlAAAAwICgDAAAABgQlAEAAAADgjIAAABgQFAGAAAADAjKAAAAgAFBGQAAADAgKAMAAAAGBGUAAADAgKAMAAAAGBCUAQAAAAOCMgAAAGBAUAYAAAAMCMoAAACAAUEZAAAAMCAoAwAAAAYEZQAAAMCAoAwAAAAYEJQBAAAAA4IyAAAAYPDRqAvA2bz99tva3d2NuoyR8zxPBw8eRF0GAACYYATlMfb222/rN1/+su4+uBt1KSP3wfv3dOutt/SLH/5M1KUAAIAJdSGCcjqdViwWUzabVTwel+/7qtfrKhaLWltbUzwe72hfq9VUrVY1Pz8v3/clSblcLoLKT7a7u6u7D+4q/guf1sfmXoi6nJH628aP1PjWD3RwcBB1KQAAYEJdiKDs+74qlYpKpVL7mGVZKpfLx0JypVLR5uamyuVy+1itVlMymVS1Wh1Zzf342NwL+uQnrajLGKl33tuLugQAADDhLkRQjsfjchxHrutKkmzbViqVOtbO932trq7q1q1bHccTiYQcx1GpVFImkxlJzQAAAIjWhQjK0pOwm0gkTmyztbUl27ZlWdaxcysrKyoWiwRlAACAC4Lt4Q4pl8uKxWLGc7Zty3Xd9pxlAAAATDaC8iH1el22bRvPBcc9zxtlSQAAAIjIhZl64XmearVa+3Gj0dDa2lrHNAvf943TLo4+z9EFgAAAAJg8FyIoe54n13U75he7rquFhQVtb2+fGo4ltds0m81T2+7tde7IMD09renp6b5qBgAAwNnt7+9rf3+//fhoTjvJhZh6US6Xj+1yEY/HFY/Htbq6GvrrXblyRbOzs+2v9fX10F8DAAAAp1tfX+/IZVeuXOn52gsxotxNMplUNpvtqW2wiK/bYr/Dbt++rZmZmfZjRpMBAACisba2ppdffrn9eG9vr+ewfKGDchB6XdcNdd7xzMxMR1AGAABANM4yBXbip15ks1k5jmM8d3TesW3bXXe1ONwGAAAAk2/ig/LW1lbX8BscX1xclPRk3nK3fZKDtux4AQAAcDFMfFDOZDIql8vGc9VqteNOfMlksmuobjQap97ZDwAAAJNj4oPy0tKSXNc9dtz3fVUqFeXz+fax5eVlNZtNY1iuVCo9L/wDAADA+Jv4oJxKpVQsFo+F5evXryuTyXRsG2dZljY2No7Naa5UKrJt+9gWcwAAAJhcF2LXi2KxqEKhoM3NTfm+r2azqbW1NWPwTaVSsixLjuNofn6+PWe5Wq2OuGoAAABE6UIEZUnK5XI9t00kEsxHBgAAuOAmfuoFAAAAMAiCMgAAAGBAUAYAAAAMCMoAAACAAUEZAAAAMCAoAwAAAAYEZQAAAMCAoAwAAAAYXJgbjgAAgPHw5ptvqtlsRl3GyMViMX3mM5+JugwcQlAGAADnxptvvql/9Gsr8g8eRl3KyFlPf1R/+kebhOVzhKAMAADOjWazKf/goab/l3+oZ2Mfj7qckfmw+a78v/w3ajabBOVzhKAMAADOnWdjH9fzn7hYgXE/6gJwDIv5AAAAAAOCMgAAAGBAUAYAAAAMCMoAAACAAUEZAAAAMCAoAwAAAAZsDwcAONcePXqku3fvand3N+pSRuqZZ57RpUuXoi4DuNAIygCAc+vgwUO909zVn/yHv9BPvfHdqMsZqblnn9cvf+GXCMtAhAjKAIBz6+HDR9pXSw8uv6ipT1+gu7Tdu6+3fviuHjx4QFAGIkRQBgCcW/cfHMj3fdX/U01v/N1c1OWMzMGHD/Twh7tKXf+Hmp2djboc4MIiKAMAzq2HDx/rKT3S//D3n9FPX52JupyReefdPf1H733dv38/6lKAC42gDAA491649IysmYszBeH+B/tRlwBAbA8HAAAAGBGUAQAAAAOCMgAAAGBAUAYAAAAMCMoAAACAAUEZAAAAMCAoAwAAAAYEZQAAAMCAoAwAAAAYEJQBAAAAA4IyAAAAYEBQBgAAAAw+GnUBAAAAkB4+eKDvfve7UZcRiVgsps985jNRl3EMQRkAACBiD+7u6b333tH/9sq6nn5mOupyRs56+qP60z/aPHdhmaAMAAAQsYf79/T42af19P+c0Ozf+2zU5YzUh8135f/lv1Gz2SQoAwAAwOxp67Ke/8T5CoujsB91AV2wmA8AAAAwICgDAAAABgRlAAAAwICgDAAAABgQlAEAAAADgjIAAABgwPZwAACcQ48ePdLdu3e1u7sbdSkjdffuXbUeP466DEASQRkAgHPn4MFDvdPc1Z/8h7/QT71xsW5pfPvNN3X/wX3NPHwYdSkAQRkAgPPm4cNHOvjIU3r26qc0Z9tRlzNS70w91OOPTKnVehR1KQBBGQCA82r60iU9P/Ni1GWM1PSl6ahLANpYzAcAAAAYEJQBAAAAA4IyAAAAYEBQBgAAAAwIygAAAIABu14AAHAOPX70UO+9955emJ2JupSRunPnjlqtVtRlAJIIygAAnDsPDg7043fe1R/+6/9bz77wQtTljNT9nV29//77eviIfZQRPYIyAADnzAf39nVwcKAXPvpYTz97sWZJPnrmsZ56/EAPP/ww6lIAgvJJarWaqtWq5ufn5fu+JCmXy0VbFABg4h08eqSPPNXSf//ZS/rE378cdTkj9aM33tedv2mpxS2scQ4QlLuoVCra3NxUuVxuH6vVakomk6pWqxFWBgC4KJ6d/qiee+5i3aluevrpqEsA2i7W5zk98n1fq6ur2tjY6DieSCTUbDZVKpUiqgwAAACjQlA22Nrakm3bsizr2LmVlRUVi8XRFwWjhwePVPk//50OHvAR3Tg4ePCQ/hoT9NV4eXTwSDf/5KYeHbAA7rx7fHCgH3zrj/T44CDqUtADgrJBuVxWLBYznrNtW67rtucsI1qPHj7SN//1/6cD/nEYCwcH9Ne4oK/Gy6OHj7T9p3U9ekh/nXethwd664831XpIUB4HBGWDer0u27aN54LjnucNtYbf//3fD+25vv3/1Id6zWltTzrf77lBvpdhC7OmQZ+r1+t6aTdIf/V7PEpR9xfvrd5F3Vf9XDes99Yt93vG43/9F3/dU12jFGZND3fv9X3Nj7/z/4bW9qTz/Z7rp65RCbOmQZ+r1+t6yUMntTlrniIoG/i+b5x2cdg4BeXqH/f/D0Q/15zW9qTz/Z4b5HsZtjBrGvS5er2ul3aD9Fe/x6MUdX/x3updUFOr1dL9Dz/U+x+8P/DXv/3Wfx7qdb20O6nN0XP379+XWtKt179n/Nn81393/oJymDU93L3f9zU//vM/C63tSef7PddPXaMSZk2DPlev10UdlNn1ok9BgG42m8fOBXcS+uEPf6i9vb328enpaU1P97dq+dGjRx3PYfL+++9r/96Hatx6S3eaftd2H354oL/+r9/r6/X7uea0tied7/dccOzNN9/Vw4NHun37HUnSd//m+5p+9pme6g3bID/fszxX8L2/+f0f69HBw75q6KXdIP3V6/H9Dx9IGqy/TN/3IEbdX2e55uj/70e/92G8twJn6auwfPjhgbzGD3X/g/v6j3/1X/Td7/7dwM919/0P9K0/+cuhXddLu5PaHD334x+/r8ePHurRw4f60fd+eKz9wYODjuMH+08+xn/7zbf0dES7RhytaVD+O75arZY+eOv7uvPRj/R83aP9+7rzN6+F0vak8/2eO3rs8f6+JKn5d/9FTx3KBvfe+r5aDx/q3g9u6c7Bg56+j0H187Ma1nMdvu5g944eHTzQ+++/fyz79JKHTmrz6NEjvfvuu9r/bz93Sbp7964k9XQHyKkW94k8ZmpqSrlcTvl8/tg5z/M0Pz+vYrGoTCbTce4HP/iBrly5MqoyAQAAMKDbt2/r05/+9IltGFHuU7CIz7TY71Of+pQajYaefvppTU1NtY8PMqIMAACAs9vf3+8YUW61Wjo4ONCnPvWpU68lKIfoqaee6roIEKN3eL/rRqOhtbW1U+eeIzq+76tWq8lxHDUajajLwQkKhYKkJ+8rz/NULBb53XeOBb8Lfd/XzZs3lc1mlUgkIq4KpykUCorH4/RVxAjKBrZtd12sF8xN5h+F861SqaharbbvrOj7vq5fv67t7e2IK4OJ67qq1+uKxWJDXyiLs3Ecp+OPzkqlovn5eTUaDX4vnkPZbFbpdLodtoI7zO7s7DBwcI55nifHcbgT8DnArhcG8Xi86z7JwT/i8Xh8hBWhX+vr61pbW2s/tixLsVhMtVotwqrQTTweVyaT4X01Bmq1Wsdi5lQqJcuyuBHTOdVsNtsDBtJPBnnq9fO3ywl+olar8YfnOUFQNkgmk11HtRqNBh+DnHO+78t13WO/ZGzb7vgHA0B/fN+X53nHfj/GYjFuwnROlcvljj9iXNeVJC0uLkZVEk5RqVS0vLwcdRn4b5h6YbC8vCzHceR53rGwValUjLth4Ox835fjOLIs68Sfca1WU7Va1fz8fPsf51wu1z4f/CN+9GNFy7La/0jg7MLqLwxfWH1lWZZ2dnaOXed5nhYWFkKv+6Ia5nurWCwqn88z7SIkYfdVcI7+OT8IygaWZWljY0OO43SMQFYqFdm2rVQqFWF1kyf4o2RpaUm1Wu3EEftKpaLNzc2Ofgnm3AVzuUx7XAdOOofehN1fGJ5R9FWpVJJt28e2y0T/htlfpVJJ1WpVyWSSP1RDMKy+2tra4r103rTQVbVabeVyuVaxWGzl8/lWPp+PuqSJF4/HW5lMxnhuZ2enZVlWa2dnx3hdsVhstVpP+k3SsXa5XK4Vj8fDLvlCC6O/Dms0Gi1+LQ1H2H11+LpGoxFmqWgNr78ymUwrl8uFWeqFF1ZfbW9vd7yXbNtuVavV0OtFf5ijfIJEIqF8Pq9MJqNcLsdf4RHb2tqSbdvGj6RWVlba8/BMe1xLTz7S6nYO4eu1vxC9QftqdXVVN27cYNHRiA3aX8Giy0Kh0N7iD8PVT1/V63XeS+cQQRljo1wudw26tm3LdV35vt/+RXN0mkWz2WRXhRHqtb8QvUH6KtgmjvfU6PXTX9ls9tjiS9u2mfo0Ir32VaFQUKPRaP8RUygU1Gw223/YIDoEZYyNk/7aDo57nifLshSPx4/94+B5npLJ5NDrxBO99hei129fVSoVJZPJjpB8+AY/GK5e+8t1XZVKpWPvs2azyWKxEem1r3K5nPL5fPvT61wuJ9/3lc1m+TQ7YgRljA3f90/95R78g7C2ttaxcCIYXWFrv9Hpp78OX4PR66evarWabt68qVgsJtd15bquKpXKCKpEoNf+isfjyuVyHb/3arWafN9n96YRGeT3IM4Xdr3ARAh+EQXTLVKplJrNpkqlkmKxmG7evKkbN25EWCEOO9pfnue176YoSel0WktLS8pkMox8RexwX/m+r3Q63f6o+DA+yj8fjr631tbWOvrq5s2b2t7eZi7sOXC0rwK1Wq090JPP5+W6LqPKESIoY2Id3mKHLf3ON9u2WTA7Brrto4zzy7Is3ldjJpFIKJFIsOD5nGDqBSZC8JE9u1qMB/prfNBX44X+Gh/01XggKAMAAAAGBGWMDdu2uy56COZ4Me/u/KC/xgd9NV7or/FBX40/gjLGRjwe77orQvCLiD1dzw/6a3zQV+OF/hof9NX4IyhjbCSTya5/mTcaDbZ+O2for/FBX40X+mt80Ffjj6CMsbG8vKxms2n8pVOpVJTNZiOoCt3QX+ODvhov9Nf4oK/GH0EZ54rv+8f2lAxYlqWNjQ05jtNxvFKpyLZttoCLAP01Puir8UJ/jQ/6arJNtVqtVtRF4GIrFAq6efNm+5ar0pN9JC3L0srKyrFfJLVaTdVqVfPz8+25X+wTOjr01/igr8YL/TU+6KuLg6AMAAAAGDD1AgAAADAgKAMAAAAGBGUAAADAgKAMAAAAGBCUAQAAAAOCMgAAAGBAUAYAAAAMCMoAAACAAUEZAHCiQqGgqamp9tfCwkIkdTiO01FHMpmMpA4AFwdBGQBwqkQioUajoUajoXK5HEkNa2tr7Rq4/S+AUfho1AUAAM4/y7Jk23bHsWw2q3q9Lt/35XmeWq3W0GuwLEuSND8/L9d1h/p6AMCIMgBgINlsVtlsVp7nRV0KAAwFQRkAzhHXdZXNZqMuoyfxeFyZTEaJRCLqUgBgKAjKAHCOpNNplUqlsZpWEEyHAIBJQ1AGgHMimOsrPRmtBQBEi6AMAOdErVaTREgGgPOCoAwA50S1WpUk5vwCwDlBUAaAcyIYUeZGGgBwPhCUAeAcODw/mRFlADgfuOEIAETA8zwtLCzI9/1j56amptr/ncvllM/nR1jZ2RUKBd25c0e+76ter8u2bW1sbBh3x0in0/I8r/1zaDQa8n1fjuPIsix5nqeVlRWlUqnRfhMAIIIyAETCtm3t7Oy0H2ezWZVKpbEMxoEg4DqO03EXv2QyqatXr+rWrVvHwvLa2prq9bqy2axs25bv+1pdXVW5XJbv+5qbm1OlUhn6Xf8AwISpFwBwDkzC/GTHcZTP54/d6jqfz8v3fZVKpWPXBDctCXb6cBxH5XJZ0pP9mVOplHK53PCLBwADRpQBIGKDzk8Opi24rivLsrS4uNgxYuv7vprNZvvmJcViUZlMJtTaD7Msyzi9IgjB1Wq1a+iNxWJyXVfz8/Mdx4PQDABRICgDQMS2trYk9b+Ir1wuy3VdLSwsKJFIdA2VwXzoWCx25lpPctpoeLPZPPU5WMgI4Dxh6gUARCzYP3mQaRfBlI2VlZWubWzbViaTOTYlImxhPP+wawSAfhCUASBiQdgdZDS115uUXL58eeghNIwRa9PUDQCICkEZACJ0eGu0QW5dXavVZNv2sYAZzHkO3LlzhxAKAH0iKANAhCqViqTBRpODRXqma4vFYsfjtbW1AaoDgIuNoAwAEQqmTqTT6WPnTpuz3G1LuUqlosuXL3ccYzQZAPrHrhcAEKF6vS7p+KhwpVI5NSgHIbtYLGpzc7NjO7jt7e3hFAwAFwhBGQAiFMxPPrzQzvd9FYvFdhDuJrg99OF2wVZwg8x3BgB0YuoFAEQolUpJ+klg9jyvfQvnk7iuK9/3j41E27at5eXlodTaTbBw8OgCwsDh723Q5wCAKBCUASBC5XJZmUxG6XRa6XRa+XxeGxsbp84pPumW10ePlUqloQTQhYUFzc3NtRcVXr9+XfPz8+3agjvtXb16VdKTwDw3N9dx9735+XnNzc2161tYWND8/LxxzjYAjBpTLwAgYkd3qOjFSfsnB6PUge3t7aHcuvq0edDxeFyNRuPENqedB4AoMaIMAGMomJ982shzL4sCAQBmjCgDwJgJblJy2lxkz/PkOA6jtgAwIEaUAWDMBFM1ThopDkaSs9nsqMoCgInDiDIAjAnHceS6bnux3Pr6ujY3N9vng32UD98WexhzkwHgoiAoA8CYyOfzUZcAABcKUy8AAAAAA4IyAOBUlUpFU1NTmpqa0sLCQiQ1OI7TroG51wBGYarVarWiLgIAcH4Fc58PO3zL7YtWB4CLg6AMAAAAGDD1AgAAADAgKAMAAAAGBGUAAADAgKAMAAAAGBCUAQAAAAOCMgAAAGBAUAYAAAAMCMoAAACAAUEZAAAAMPj/AemDjdjDC/hHAAAAAElFTkSuQmCC", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "num_bins = 10\n", - "bin_counts_pbh, bin_edges_pbh = np.histogram(samples_pbh, bins=np.logspace(np.log10(s.cadence), np.log10(s.obs_time), num_bins))\n", - "bin_counts_ffp, bin_edges_ffp = np.histogram(samples_ffp, bins=np.logspace(np.log10(s.cadence), np.log10(s.obs_time), num_bins))\n", - "bin_counts_both, bin_edges_both = np.histogram(samples_both, bins=np.logspace(np.log10(s.cadence), np.log10(s.obs_time), num_bins))\n", - "\n", - "# Plotting the histogram\n", - "plt.bar(bin_edges_pbh[:-1], bin_counts_pbh, width=np.diff(bin_edges_pbh), align=\"edge\", edgecolor=\"black\", label=\"PBH\", alpha=0.7)\n", - "plt.bar(bin_edges_ffp[:-1], bin_counts_ffp, width=np.diff(bin_edges_ffp), align=\"edge\", edgecolor=\"black\", label=\"FFP\", alpha=0.5)\n", - "plt.bar(bin_edges_both[:-1], bin_counts_both, width=np.diff(bin_edges_both), align=\"edge\", edgecolor=\"black\", label=\"Both\", alpha=0.3)\n", - "\n", - "plt.xscale('log')\n", - "plt.xlabel(\"$t_E$ [hr]\")\n", - "plt.ylabel(\"Count\")\n", - "plt.title(r\"$M_{\\rm{PBH}} = $\" + scientific_format_less(s.pbh.mass) + r\"$M_\\odot$, p = {}\".format(s.ffp.p))\n", - "plt.legend()\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Old Mass Comparison" - ] - }, - { - "cell_type": "code", - "execution_count": 16, - "metadata": {}, - "outputs": [], - "source": [ - "ms = np.logspace(-9, -3, 30)" - ] - }, - { - "cell_type": "code", - "execution_count": 17, - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - " 0%| | 0/30 [00:00" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "plt.plot(ms, diff_rates_ffp_mw_point, label=\"Point\")\n", - "plt.xscale(\"log\")\n", - "plt.yscale(\"log\")\n", - "plt.xlabel(r\"Mass [$M_\\odot$]\")\n", - "plt.plot(ms_limited, 1e-15*ms_limited**(-1.15), label=r\"$M^{-1.15}$\", ls=\"--\")\n", - "plt.legend()\n", - "plt.show()\n" - ] - }, - { - "cell_type": "code", - "execution_count": 120, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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m8lnIuH0mymtasO2gDgfqruB3Rxvxp6rzeC5lDv519XzMi2Q4JyIi16dWq7Fr1y6HXV+j0dhm692NV4XyoVnwW7FXKHdUL5PZPHzJPH9/f/j7+zvktch1CIKANQtjsWZhLD4524aX9p3B/poWvHbkHP5Q1Yhv3DEXL66ez7YWIiIXJYoixIEuqcsYk+ATZPdN7fR6PfR6PdRqta0bQa/XIycnB1VVVSgtLYVarYZWq0VWVhb0ej0qKipsveKVlZUAMGxlvZGer9FobC3FBQUFtgnX65+n0Wig1WqhUChQXV2NnJycKeW+3t5e9Pb22j6+MadNhFeF8lsZCusGg2FK19Hr9SgrK7Ot5JKeno6UlBRkZ2ff9Ibg+n88hYWF42pfmTNnzrCPf/jDH+Kll16aUs3kXu6aF4G92Xfho3oDXtp/BhW1V1D88Vn87mgjvn1fHP519XxEcCMiIiKXIg504WxRhNRljGlebhsE32C7XvPGGzGHwnJ5efmwNwBD7SiCIKC4uBiFhYVQKBRIS0tDREQEUlJSkJaWZrvGjc8faj0uKSlBfn7+TWG7rKwMBQUFw1peIiIiUF1dPemNHAsKCvCjH/1oUs+9EUO5nSmVSmzevHlcveFD/3jGe0MpADQ2Ng7btpWz5N7r3vhIlOfcjUO6K3hpXw0O6Vvxs0N6/O5oI/4tdQG+dU8c/Hw8YoElIiJyM0OB2mg0YteuXaMuijFSB4NCobD9GZKcnIzKykpbKL/V80cz0gp8GRkZKCwsnFAWu15+fj6++93v2j42m803TaCOF0P5VUPtJpO9A9hZwsLChoVyogcTonFgUxT2nm7G5rdO4URTO777xgkUfVSPgnWLseG2GXb/VSQREU2M4BOEebltUpcxJsHHPvco5eXlQalUTrqdNyUlZdjHU91scWgxjxtnz1euXDnpQA7Yt42YoZzIAwiCgEcXT0Pqghj8vqoR/773DHStXcj4UzXuiYvAL59ZhhWzwqUuk4jIawmCYPe2EHegUChsmzxKqaqqCsBg6/D1E7CRkZG33AXembwqlCuVylH/UQz1kk+2p4jIFfjIZXj+znl4dvksvPKeDq+8p8Phhjak/Px9bLonDj9+ZBEUgb5Sl0lERF5EqVRKlq+GbjIden21Wu2yWc+rGk5VKtWov0YZCuvuttA80UhC/H3w0tqFOLPlYWQunwmrCBR91IDF2w7iT9WNEEVR6hKJiIicIjIy0rbyi1arvelxjUYjQVU386pQnpqaOupMuU6n4zrh5HFmhQfiL/+wEvuz78LCmGA0tffia385jod+fRgnLrdLXR4REXmoifSSj+dco9E46nk3HlepVLZ2Fa1Wa5tw3bFjB/Ly8oadq9frHbaM9UR5VftKRkaGra/pxl9dlJWVuUxPEZG9qRfE4NPvPYSfva/Df5bX4oN6A1T/fQg/UC/AllWJ8JV71ftzIiKyM6PRiIKCApSVlQEYXOlErVYjNTV1xElPrVaL4uJi2/OAwTaX648ZDAZkZGSgoKAAVVVVtqA9tAv6jc8fWpllKHwbjcZheS8tLQ1KpRI5OTlYuXIlgMFZ9BtXdJGKIHrY77ETEhKgUqlGXXqnrKwMO3fuHPZ4WVkZiouLbWuLuyKz2Yzw8HAsWLAAcrkcubm5yM3NlbosckPn2rrwT69/gTdPNgEAbp8Zht9mLueNoERERJNUVFSEoqIiWCwW1NTUwGQyTXi1PI8I5du2bUNlZSX0er2tV2iodygzM/Omd0AajQbl5eVISEiw/cpiPOuKS2kolE9mkIluJIoi/nr8Ir7z+udo7eqHXCYg7+FE/FvqfPj7yKUuj4iIyC1NJa95RCj3Bgzl5AjN7b34p9c/R+lnlwAASdNC8McvrYBqtkLawoiIiNzQVPIaG0mJvFhsqD92fjUZpV9diWmh/jjZ1IG7f/kh/vt9HVdoISIiciKGciLChttm4ovvP4Rnlk5Hv0XE9944iSd+cxTN7b1Sl0ZEROQVGMqJCAAQFeyHsq8l49frlyHAR4Z3Tjdj+c8OQVPTInVpREREHo+hnIhsBEHAxnvicPSf70fStBBcbu/F2h2fIP+dUxiwWKUuj4iIyGMxlBPRTZbOCMPRf74f2XfNgygChQfqsO61I2jt7JO6NCIiIo/EUE5EIwry88H2tNvw139YiWA/OTS1V3DH/3yAzy6apS6NiIjI4zCUE9EtZSyficP/dB/iI4NQb+jCPb/8EGWfXpS6LCIiIo/CUO5mUlJSkJSUhKKiIqlLIS+ybEYYKv/f/VDPj0ZXvwUZf6rGv757ChYrl00kIiIqKipCUlISUlJSJn0Nbh7kJrh5ELmCAYsVW945hZ8d0gMAnkiahv/7igrB/j4SV0ZERCQ9bh5ERE7hI5fhlSeW4E9fXoEAHxnePNmEVds/5nrmREREU8TpLSKasK+oZiM+MghP/vYoKhuNuPdXH+LdrLuQGB0sdWk0AktPG/pbT2Kg/RwsXS2wdLfA2n0Flq5mWHpaAasFEGSAIINw9b+Q+UIeFAOf4BmQB0+HPGg65MEz4BM2Bz6h8yDI5FJ/WkREHoXtK26C7Svkis40d2Dda0dQb+hCTLAf3vzmHbhjboTUZXm1fmMdei58hL7WE+i/cgJ9hpOwdFyw62sIcn/4RMyHX8Qi+EYuhG/EQvjF3AbfiIUM60Tk1aaS1xjK3QRDObmqy+YePPHbo6g+b0KQrxx//ceVeDxpmtRleQ1rXwd6zr+HrrPl6G7YjwGTbsTz5KFz4RuuhDwoBvLAGMgCoyEPjIE8MAqQ+wGiFYAIiFaIohWipRfWrmYMdF6GpeMiLJ2XYem6hAHzOYiWkduVBN8Q+MeugN+0lfCPVcF/ejJ8whMgCIID/waIiFwHQ7kXYCgnV9bRO4CMP1Zh75kWyARgR/rt+Podc6Uuy2NZB3rQVbsb7Sf/hJ4LHwDW/msPynzhP+NO+Mcsh2/UEvhFLYFf1GLI/MPt8tqi1YKB9rPoN5xBv+E0+trOoL/1FPqufAaxv/Om8+XBMxAw+0EEznkIAbMfhE+4kiGdiDwWQ7kXYCgnV9dvsSKn7DP8vrIRALA97TZk3zVP4qo8S5/hDNq/+A06Tv4R1h6D7bhPWDwC49YgcN4aBM55CDK/UKfXJlot6G87jd6mavQ2VaOvqRq9LccBy/BdYOWhcxA452EExT+KwLmpkPnz+xkReQ6Gci/AUE7uQBRF/MsbJ/CLD+oBAL94eim+fV+8xFW5N1G0okv3d5iPv4qe8+/ZjstD5yB06TcQsiADPopEl5x9tg70oPfSJ+g5/x66Gw+h9/LRm2b1A2bdj6D4dQhSroOvIlG6YomI7ICh3AswlJO7EEURm986hf86NNjb/MoTSfjugwkSV+V+RFFE9zkN2j76Afqajw0eFGQIin8UocuyEDhvrdvdVGnt70TvxY8H+9/r30Z/W82wx30jFyE48RkEJT4Dv5jbXfKNBhHRrTCUe4GhQV6wYAHkcjlyc3ORm5srdVlEIxJFET/YexoFFXUAgJ+uW4Qtq+ZLXJX76Ll0FG0f/cA2My74hSJseS7ClmXBJ3SOtMXZUX9bLbrq30FX/TtXe+MHbI/5hCsRnPg0ghKfgf/0OxjQicilFRUVoaioCBaLBTU1NQzlnowz5eRuRFHEj8tr8dL+MwCAl9YsxL+vWSBxVa6t68oZNL+fD/HcW4MH5H4Iu/1bUKRshjwwWtriHMzSY0R3/dvorHsd3Q37IVp6bI/5hM5D8MIMhCzMhG/0MgZ0InJZnCn3Agzl5K4KKmrxr++eHvz/dYuRt4p9w0MsVhHHL5pwsOYSfE/9Eo/0/R5+wgAsogxv9q7CHuGrEELmYFqIP2aGB0AZFYT4yGt/Qvw9c/83a18Huhv2orPub+iqfwdif4ftMd+oJIQszETwwkz4hislrJKI6GYM5V6AoZzc2baDddjy9ikAQHHabcjy8lVZGgxd2PzWSWhqr2DOwCkURPwai/3OAgAO9azAT4zPQTcwe8zrxAT7YfG0ECyZHoYl00KxdHools4IRWSQn6M/Baex9nehu/4ddJz5K7oa9g5bzcV/1n0ITfoqgudvkGTFGSKiGzGUewGGcnJ3+e+cQuGBOsgEYOc/rsSG22ZKXZIkmtp7cd+vPsQFQxv+Jeyv+HrIW5ALVvTKFbAkF2DhHV9He+8Amjp60dTei6b2PjR19OJcWzcaDF2oN3RBb+iCsbt/1NeYGRaAlbPDkTxHgZSrf6KC3T+oW3qM6NL9DR2n/4qexoMABn98CT5BCJ7/DEKSvoaA2Q9AEGTSFkpEXouh3AswlJO7E0UR2WWf4TdHzsFPLsPbz9+B1fNjpC7Lqcw9/Xj41cNASyV+Ef0LzJRdBgAEL/oSoh54BfKg8f99GLv7oWvtxMmmdpy43IETl8344nI7zrZ1j3h+fGQQ7pirwN3zInBPXCRunxkGX7n7hteB9vPoOP1/6Dj5x2GruPiExSFkydcQmvQ1+ISO/dsGIiJ7Yij3Agzl5AksVhGZf6rCns8vI8Rfjoqce5AyVyF1WU7RO2DB468dwZzLf0B++B/hI1ggD52D6FW/QlD8o3Z7HXNPPz67ZEZVowlVjUZUNhpRe+XmnTYDfWVImaPAXfMicV/84B9FoK/d6nAWURTRe/koOk7+EZ1ndsHaZxp8QJAhMO4RhC75OoLi10GQu9/nRkTuh6HcCzCUk6foHbDg8d8cRUXtFUQF+eL93HuxeJpn9wNbrSK+/qcPcMeFf8O6oI8BAMEL0hG9+lWn7Ghp7O5H9XkjPjnbho8b2vDx2Ta03dD+IgjA7TPCcL8yCg8oI3F/fBRiQ/0dXps9WQe60VW7B+1f/HZwicWr5EHTEbLkqwhd+g3eHEpEDsVQ7gUYysmTtPcMQF38MSobjZijCMCR79yP6WEBUpflEKIo4j92vY77z/0L4n0vQRR8Ef3gywi9fZNkS/tZrSJqrnTgcEMbDje04cP6VtS03DybvnR6KFbNj8aqxGg8qIxCuBvNpPe31aD9i9+h/dSfYO1qth0PnJuK0GXfRJDyCc6eE5HdOTyUr127dtLF2UtxcTHi4uKkLkMyDOXkaa509uK+X32EmpZO3DlXgYOb7kGAr3vtUDkefyl7Gcsbf4QAoQ+9/jMR9/QuBMy4Q+qybnLZ3IP39Qa8r2/FB/Wt+PxS+7DH5TIBybPDsWp+NNYsiMHd8yLh5+P6PemipR9d+jfR/vlv0H2u3HZ8cPb8awhd+k34hsdJVyAReRSHh3KZTIbNmzcjIcH5W2WLoohNmzZBp9MxlDOUk4epbenAXb/4EG3d/fiKahb++KUVHrMxjCiKOLF3M4LP/A8AoDnsASR/aSfkgVESVzY+Vzp7cbCuFRW1V3Cg7grqbuhLD/aT46GEKKgXxGDNghgsig1x+bHrN+nR/sVv0XHiD7B0NV09KiAw/lGELctCYNwjEGSe98aQiJzHKaFcr9dLFoqlfn1XwFBOnupA7RWs3fEJLFYR//noIry4er7UJU2ZaOnHlYpvoePkHwAA7wV9E89lFbn1Un3n2rpQUXsFFbVXoKltQXNH37DHZ4cHIHVhDNYuiMXq+dEuvQTj4Oz5GzB//hp6zlXYjvuEzkPosm8idMnXIQ+eJmGFROSuGMq9wNAgL1iwAHK5HLm5ucjNzZW6LCK72H64Ad/a8zkAoOxryVi/bIbEFU2etb8TzW9/Cd0NezEgyvBDUw5+/O2fIiE6WOrS7MZqFfHZJTPKa1qgqW3B+3oDegestscFAUiZrUDqwhg8sjAWd85VwMdFl1/sb6uB+fPfoOPkH2DtMQwelPkieP56hN22Ef4z73H53wAQkfSKiopQVFQEi8WCmpoax4XyLVu24MUXX5Rshlbq13cFnCknT/dPr3+Ooo8aEOQrxwffvhcrZoVLXdKEWbqacfnvT6OvqQp98Me3rnwX85Y9g99mLpe6NIfq7rfgA30r9p1pQXlNC764PLwfPTzAB6kLYvDIolisXRiDWeGBElU6OutANzprd6P9sxL0XvrEdtwvehlCb9+EkEVfgszXc95YEZFjcPUVL8BQTp5uwGLF4785iv01LZgdHoCj/+xeK7L0m/S4/PrjGDDWweoXifTzL+CLgYU4nfcwlFHeFeYumLqx/0wL9tcMhnRD1/DlF5fNCMXahbF4dFEs7o1zvRtGe5uPwfzpdnSe+SvEgcHNmGR+4QhJ+irClm+CryJR4gqJyFW5VCjfvXs3MjIykJeXh5/+9Kf2vLRXYygnb2Ds7sfdv/gAZ1o6cW9cBA5susctdp3sN9bhUqkals6L8AmLw7/2/Rj/WxeEb9wxF69l3C51eZKyWEVUNhqx93Qz9p1pxtFGI67/qRPq74PV86PxyKJYrFsUi9kK15lFt/S0oePkH2D+rAQDxjrb8cC4RxB2+7cQGLfGre8TICL7c6lQnpGRgbKyMqSnp2Pnzp32vLRXYygnb1Hb0oGU//kA5p4BfO/BBLz8RJLUJd1Sv6kel0pXw9JxHr5RS9CY/Bfc+5ta+MgEnMlbhfioIKlLdCmtnX3YX9OCvaebsfd0M1o6h98wumxGKB5dNA3rFsXi7rgIl3hTJopWdJ8th/n4r9HdsBfA4I9NH0Uiwm7fhNCkrzllEygicn0uFcq3bNmC/Px8hIe7Xz+oK2MoJ2+y5/NLSPtDFQDg9edS8NTS6RJXNLJ+81lcLlVjoP0sfCMXYUaaBo/+SQdN7RV888652JHu3bPkY7FaRWgvmPDu6Wa8e7oZR861DZtFDw/wwZoFMXh08TQ8sjDGJdqZ+o11MH+6He0nfg+xzwwAEPxCEZr0NYQt/xZbW4i8nEuF8o0bN2L79u0Tek5mZiZn1cfAUE7e5rtvnMDP39cjPMAH1f/ygMv1ZQ+0n8elMjUGTHr4KBIxI70CnzT74YGiw/CRCajZsgpxkZwln4grnb3Yf2ZwFv3d081ovaEXPXl2OB5dPA2PLY5F8mwFZDLpVkWx9nWg49SfYf60CP2G01ePDq55Hr7iOwiY8zBXbSHyQi4Vyo1GI3JyciYUsufPn4/a2lp7luFxGMrJ2/RbrHjo14fx8dk2qGaF48Nv3+syO34OdF7CpdLVGDDWwSdciRlpGviEzoZ6+8c4UHcFWXfNRXEaZ8mnwmIVUdVoxNunmvDu6WZUnzcNezwm2A+PLorFusXTsGZhDBSBvpLUKYoius9pYD72K3Q3vGs77hu1BOErvoPgRV+CzEf6GX4icg6XCuUAYDKZsGXLFiQkJECtVkOpVI5aWH19PZKTk9Ha2mrvMjwKQzl5o0ZjN1Q/O4TWrn7k3D0Pr264TeqSYOlqxqXS1ehvOwOfsLjBQB42F+/rWvHQq4fhKxdQk7cK8zhLbleXzT22Npf9NS0w9wzYHvORCbg3LhKPJQ3Ooku1u2if4QzMn/4aHSf/CLF/cAdUWWAMwm7LQdjtGyEPinV6TUTkXC4VyufPv7Ybn16vH/fzLBaLPcvwOAzl5K32nWnGuteOQBSB//3yCnxZNVuyWqy9JlwqU6Ov5VPIQ2ZjRnoFfMPjAQBrij+GpvYKsu+ah+1p0r958GT9Fis+rDfg7VNNeOdUM043dwx7PD4yyBbQH1RGOf03LJYeIzpO/Bam40WwtDcCAAS5P4IXfRnhK/4JftFLnVoPETmPS4XyxMRE6PV6qFQqREZGjnm+TqdDQ0MDQ/kYGMrJm/373tP4T00tgnzlqPqX+7EoNtTpNVgHetD0tyfQc/4QZEGxmJl+EL4Rg5MQF0zdmPufGogioMtfzRVXnEx3pdMW0N/TtaLPcm130SBfOVIXRGPd4mlYtzjWqRsXiZZ+dNbtgUn7P+hrqrIdD5irRviK73BJRSIP5FKhPDk5GRs3bsTzzz8/7udERUWxfWUMDOXkzSxWEY/s+AQVtVegmhWOw/90n1M3nBGtFjS//Sy6dH+H4BeKGWka+MeusD3+8/f1+O4bJ3BvXAQ++PZ9TquLbtbRO4CK2it461QT3j3VjIvmnmGPr5gVhnWLp+GxxdOQMkcBuRNuFhVFEb2XPoZJ+z/o0v0dEAffNPhGLkLYiu8gZPFXIPNxnfXZiWjyXCqUZ2Rk4MUXX8Ty5cvH/ZzExETU1dWNfaIXYygnb3fR1IPb/us9GLr6sWVVIn66brFTXlcURbRWfAvtX/wGkPth+tNvIXDOQ8POufsXH+DIOSP+5+ml+Kf74p1SF41NFEUcv2jGWyeb8M6ppps2LpLiZtF+Uz3Mx4vQfuJ3EPvaAQCygCiELvsmwm7LgU/oHIfXQESO41KhnByDoZzo2vrlggC8t+ke3K+McvhrGg7/O0xHtwKCDLGP/QXBic8Me7y+tQsJBRWQCcD5f0t1ibW0aWTN7b3Ye6YZb59swr4bbhaVywTcFxeJdYtj8djiaVg8zbE3i1p7TWg/8TuYjxVhoP3s4EFBjqCEJxG2PBcBs+7nkopEboih3AsMDfKCBQsgl8uRm5uL3Nxcqcsicrpv7DyO31c2Yl5EII5/90GEO3B203TslzAc+h4AIGr1rxG27Oa2vMIDdch/5xQeTohCxaZ7HFYL2Ve/xYqP6g14+1Qz3jnVhFM33CwaFxFo60N/ODEagQ66WVS0DqBL/ybMx3+NnvOHbMd9o5ci7PZvIWThs5D5hTjktYnIfoqKilBUVASLxYKamhr3DeVcp3xsnCknGtTeM4DlPzuEekMXvrpyNn7/pRVjP2kSOmvK0PzOlwEAEff8CIo78kc8b+V/H8KxC2ZsT7sN2XfNc0gt5Hj1rV1XbxZtwkFdK3oHrt0sGugrw6rE6Ku96LGYG+GYG3n7rnwB86evouPUnyEOdAEABL8whCz+CsKWPQ+/6GUOeV0ish+3nymPjIyEwWCQugyXxlBOdM1H9QY8+OuPYBWBv/7DSmQsn2nX6/dc/ASXd6dCtPQi7PZvIfKh/x6xlaCmpQOLCg9CLhNw6YepiA72t2sdJI3O3gEcqLtim0U/bxp+s+htM8KwbnEsHk+ahjvnRtj9ZlFLjxEdJ/8A82fFGDBeu9/Kf+Y9CF32PILnp3FDIiIX5XKh3Gw2o6SkBOXl5WOGbb1eD6PRyCURx8BQTjTcv+09jZ9oahER6ItPv/cgZivss3pFv0mPi3+9H9buFgQpH0Ps42UQZCO3Lvy4vAY/3HcGjyyMwTtZd9nl9cm1iKKIzy+122bRPz7bBut1PzWjgnyxbvE0PJ40DWsWxNi1nUoUrehpfA/mz0vQpXsDsA72wMv8IxCy+MsIXfJ1+MVwTXwiV+JSodxkMiE+Ph5Go3H8RQgCQ/kYGMqJhuu3WHHvLz9E1XkTVs+Pxr6suyCb4oylpacNl3bej/62GvjFrsCMtIpb9vMue/k9nGhqx28zl+O5FK6a4Q1aO/tsN4vuPdMCY3e/7TEfmYAHE6LweNI0PJE0DcqoYLu97kDnJXSc+D3Mn/8GlvZztuN+05IRuvQbCFmQAZk/fzYQSc2lQnlGRgaMRiMKCwuxYsXYvZ5GoxEJCQlcp3wMDOVEN6tp6cCKnx1Cd791yj3doqUPl19/DD3nD0EeMhszn/0QPiGjt8V8ccmM2/7rEPzkMlx+aY1TltMj1zJgseKjBgPeOtmMt05expmWzmGPL5kWiseXTMOTSdNwh53aXESrBd3nNGg/8Tt06d4ErINvCgSfIATP34DQpV+H/8x7uXILkURcKpQnJyejqqpq7BOvw3XKx8ZQTjSy/35fh++9cRJhAT448cJDk9qxURRFXNn/TXSc+l8IfqGYmX5wzLaAofaZJ5dMw9++fsdkyycPUtvSgbdONeGtE034oN6Agev6XGKC/fBY0jQ8uWQaUufHINjfZ8qvZ+lqQcfpP6P9i9+i33DadtxHkYjQJc8hJOkf4RM8Y8qvQ0Tj51KhfOPGjdi+ffuEnnPs2LFxzap7M4ZyopFZrCLu/eWHONpoxFNLpmHPcykTniVsO/ITGD/+ESDIMe2pvyMobs0tzxdFEQsLD6LuSif+/BUVvrRi1lQ+BfJAxu5+7D3djDevblxkum5NdH8fGVYnRuOJJYO96JN5I3m9wR1DP0H7id+js6YUYv/V5R0FOQLj1iJ0ydcRFL8Ogpy/zSFyNJcK5fn5+SgoKLDnJQkM5US38vklM1b+9/sYsIrY+Y8rkX77+Fdj6ax7Hc1vZQIAolYVIey2rDGfoz1vRPLPP0CgrwxNL61FiB1mPclz9Vus+LDegL+fuIy3TjZB39o17PGVs8PxeNJgQFfNCp9S64m1rwOdtbvRfuJ36L142HZcFhSLkEVfQeiSr8EvKmnS1yeiW3OpUP7yyy8jPT0dcXFx437OgQMHsGrVKnuW4XEYyolu7Yf7zuDH5TWIDfHDiRceRlSw35jP6bvyOS7ufABifyfCln8bUQ/9bFyvlffWSbz8ng5pt83Arq8mT7V08iKiKOJUUwfeOHkZb55owifn2nD9T+GZYQFYtzgWTyRNw+r50Qjym/wbvj7DaXSc+AM6Tv0vLF1NtuP+0+9EyJLnELIgnTeHEtmZS4VyYLCFZdu2beMuhpsHjY2hnOjWegcsUP3sfZxq7sDXkmfjd8/euiXO0mPAxb/cgwGTHgFzHsb0Z96GIBs7AImiCOVPK3C2rRulX12JDbfZd4108i5N7b14+1QT3j7ZhP01Lejsu7YSWYDP4KZFjyVNbdMi0dKP7rP70H7i9+iqf8e2tKLgE4jg+esRkvQcAmbfD0GQ2eVzIvJmLhfKTSYTtmzZAoVCgdTUVCiVSkRGRo54rk6ng1qt5uorY2AoJxrbxw0G3Ff0EUQR2Jt1J9YsjB3xPNE6gMt/ewI95yrgExaHmV86DHlg9Lhe45Ozbbjnlx8ixF+OppfWOmz7dfI+Pf0WHNK34s0TTXjrZBPOGbuHPb50eqgtoN81NwI+8omHaEtn0+DNoSd+P/zm0LB4hCz5KkIX/yN8wuZO+XMh8lZOC+UymcxhyyxxnfJbYygnGp/v/O0L/OrDesyLCMTn339oxH7v1vc3w6z9OQSfIMzMfH9CG7Bs2v0Zij8+iy+vmIX//YrKnqUT2YiiiBOX2/H2qWa8faoJhxsMwzYtUgT6Yu3CGKxbHItHFsYiJmRiu8mKoojey5XoOPF7dNTshNjXfvURAYFz1QhZ8jUEJTzJnUOJJshpoTwxMRF6vR5qtRoKhWKidY5Ip9Ph+PHjDOVjYCgnGp+O3gEsffk9nDN245/vj8d/P7V02OPtJ/+EK/u/CQCIfewvCJ6/YdzXbunoxbz/1KBnwIoDG+/GQ4njm10nmqrWzj7sO9OMt081Y9+ZZhi6rm1aJAhAymwFHlkUi3WLY5E8WzGhjbSs/V3orNuDjhN/QM/5Q7bjMv8IBC96FqFLnoNfzHKufU40Dk4L5cnJydi4cSOef/75CRd5K1FRUWxfGQNDOdH47T3djHWvHYFMALT/8iBumzn4NdN7uQqXSh+GaOmF4o58RNzzowld9z/21+Cl/WewcnY4jv7z/QwpJAmLVcSRc21451Qz3j3dhGMXzMMejw72w9qFMXhkUSzWLoxBdPD4Z9H7TXp0nPwj2k/+CZb2Rttxv+jbELL06whZ+CzkgVF2+1yIPI3TQvnGjRuxceNGLF++fKI13tJkNhzyNgzlRBOT/ocq7P78Eh5QRuLgpntg7b6CC3+5C5b2RgQpH0PsE7sndGNbd78Fcf+pQUtnH/7vKyo8y7XJyUVcNPXg3dPN2Hu6GeW1LTBftyb60Cz62kWxeGRhDFLmKMbViy5aLehuPICOE79Hl+4NiJbewQfkfghOeAohS55D4JxVEGS8p4Loei53oyfZH0M50cScNXQh6eWD6O634s9fvg0P1Wejp/EgfCPmY+azhyHzD5/Q9Uo+OYuNZZ9hriIQdfmrJnWTHZGj9VusONxgwLunW7D3dDM+uzR8Fj0i0Bfq+dFYuygWaxbEYLZi7I2LLD0GdJ7+K9pP/B59Lcdtx+WhcxGa9FWELPkafMPm2ftTIXJLDOVeYGiQFyxYALlcjtzcXOTm5kpdFpFL+09NDf597xn8R8z/4Sv+uyH4BmPmsx9NePMUq1VE0ssHUdPSiZ89uQT/7wGlgyomsq8Lpm7sP9OCfWdasL+mBcbu/mGPL5kWijULY7B2YQzuV0aNuZpQb/OxwbXPT/8F1t62q0ev3hy69DkEK5+E4DOxm06JPEFRURGKiopgsVhQU1PjuFCen5+PxMREpKenc5ZWIpwpJ5q4nn4LNv3sP/Hv/j8BAMSu+z8EL0ib8HXeOHEZT/+uEuEBPjj3g1SEBnAHT3I/AxYrKhuNePd0M/afaUHleeOwjYsCfGR4MCFqMKQviMXiaSGj3jdhHehBV93f0H7i9+hpPGA7LguIQsjirwzeHBq9dMTnEnkyh8+U79ixA4WFhaivr4darcbGjRvxzDPPTLpgmjiGcqKJ6zOcwrk/3wO5pRO/6XgS/5D9OyyKDZ3wdR4s+ggf1Buw+eFEbH1ssQMqJXI+Q1cfNDVXsK9mMKRfMPUMe3yOIgBrFsZi7YIYpC6IQXig74jX6Tfp0XHiD2g/+UdYOi7YjvtPvxOhS7+B4AXpkPmFOPRzIXIVTmtf0ev1KCkpQVlZGerr65GWloZnn32WAd0JGMqJJsbaa8bFv96L/rYzqJWvwGNn8/Hw/GnYl33XhFZNOXK2DXf/8kP4ygXoX1yNWeFj9+ASuRtRFHGyqQP7zgwuufi+3oDeAavtcR+ZgPvjI7Fu8TQ8lhSLhTE3z6KLVsvgzqFf/A5d9W9f2znUNwTBCzMQmvQc/GfcyVWLyKNJ0lOu1Wqxa9culJSUwGQyIS0tDRs3bsTDDz88mcvRGBjKicZPFEU0v52Jrrq/QR4yC/2PHMTSX51A74AVpV9diQ23zRz3tTL/WIXSzy7ha8mz8btnVziwaiLX0dU3gPf1Buw7M7iqy5mWzmGPK6OC8NjiaXhqyXTcr4yE7w03Pls6m9B+6n/RceK36G+rtR33jViIkKSvImTxV+ATMv6vQyJ3IfmNnhqNBmVlZdi1axcEQUBGRgYyMjIY0O2IoZxo/IyV29D20Q8AmS9mpB9AwIw78e97T+M/NbWYowjAqc0PI8hv7L5wfWsnFmw9AKsIfPq9B7FsBr/2yDvVXenE26ea8M6pJhzSGdBnuTaLrgj0xWOLY/Hkkul4ZGHssHsuRFFE78WP0P7Fb9FZuwfiQNfgA4IMgfPWInTJVxEY/xh3DiWPIXkov55Go7G1uERERCA7OxvPPvssbr/9dnu+jNdhKCcan676vWj6+1MAREStKkLYbVmDx/sGsOTl93C2rRvrFsVi11dXjhnMv/O3L/CrD+uxdmEM3s26ywnVE7m+jt4BlNe04M2TTXjrZBOudPbZHvOTy6CeH41nls3AU0unDdu4yNrXjs6aMrSf/AN6Lx62HZf5KxA8Pw0hi78C/5n3sL2F3JpLhfLrDc2el5WVISEhwdbiMm8e1zOdKIZyorH1t9Xi4l/ugbXPhNClzyNa/ethj79XdwWP/eYIuvutuC8+Em984w4oRrl5TXveiAeKDqOr34L92XdBvSDGGZ8CkVuxWEV8fNaAv3/RhDdOXEbtlWttLjIBeFAZhfW3zcDTS6cPux+jz3AGHSf/iI7Tf4Gl47ztuE9YPEIWfwkhi74M34gFTv1ciOzBZUP59crKylBSUgKNRoOEhATk5OQgLS0NcXFxznh5t8dQTnRr1r52XPzrfeg3nIL/jLsxY8P+EddL/qjegMd/cwSmngEsnxmGd7PuwrTQa+f1DljwH+U12HZQB4tVRMocBT75zn2cvSMah1NN7djz+SXs+fwSjl0YvnHRXfMi8NSS6Xhm2XQsiBlcjUW0WtBz4X10nPrzYHtLf4ftfL/YFQhZmIngBenwCZ3j1M+DaLLcIpQPMZlM2LlzJ8rKyqDRaLBy5Uo8++yzyMrKYti8BYZyotGJohXNb2WgS/cG5MEzMfPLH8MneMao53960YRHdhxBU3svEqODsT/7LsRFBuHouTZ8Y+dxnGwaDAbpt83Ar9YvQ0wIN0Mhmih9ayf2fH4Zez6/hE/Otg17LGlaCJ5eOgPPLJsO1axwCIIAa38XunRvoOP0/6H7bDkgWmzn+8+8dzCgJz4DefA0Z38qROPmVqH8ekMBvaSkBMeOHYNKpcLGjRu5SdEIGMqJRtd25CcwfvwjQO6HGWkHEDDjjjGfU3elE2uKP0ZDWzdmhQfg6aXT8erhBlhFIDbED0Xrl01olRYiGt0FUzfeONGEv31xCQfrWjFgvRY9ZoYF4LGkWDyRNB2r50cj0FcOS/cVdNbuQeeZnei58CGAq+cLMgTMfhDB89MQnPg05EFsKyPX4rah/Hp6vd7W4jK0SVFGRgYD+lUM5UQj69K/haY31gMAolNLELrkuXE/94KpG2tLPrHNjAPAV1Sz8POnliIq2M/epRIRgLauPrxzuhl/+/wy9p5pRmfftRnxQF8ZUhfEYN3iaXh0USzmKAIx0H4enbVl6DizE31N1dcuJMgQMPshBC9IQ3DCUwzo5BI8IpRfb6RNinbu3Cl1WZJiKCe6WV/rSVzceT/EvnaE3r4J0Q//z4Sv0drZh/Q/VuFsWzd+/tQSPLFkugMqJaKR9A5Y8J6uFW+eaMKbJy+j0Th8V9Gl00PxyKJYPLooFvfGRULoPIvO2t3orN19Q0CXX51B38AZdJKUx4Xy62m1WtTX12PDhg1SlyIphnKi4Szdrbj41/swYNIhYNb9mL5+LwT5yCupjIcoiryZk0hCoijis0tmvHmyCXtPN+OTs224rssFof4+WJUYhTULY7F2YQzm+DShs6ZsMKA3H7t24tAM+vwNCE58CvKgWOd/MuS1PDqU0yCGcqJrREs/Lv/tcfQ0HoRPWBxmfukw5IHRUpdFRHZk6OrD/jMt2Hu6GXvPNKO5o2/Y44nRwVizIAZrF8bggRgzxLN/vxrQtddOEmQImPXAtRl03iRKDsZQ7gUYyomuuXLwn9H+6asQfEMwM/MQ/KKXSV0SETmQ1Sri2EUT9p1pwf4zzTjc0DbsZlFfuYD746OwdmEMHp3dhdnGfeis2zO8xQUCAmbdj+AFGxCU+PQtV2gimiyXCuW7d+9GRkYG8vLy8NOf/tSel/ZqDOVEg8yflaD1wLcBCIh9ogzBCU9IXRIROZm5px8H61qx70wz9p1pQb2ha9jjM8MCsGZhDJ6a14s7xEOwNvwNfU1V150hwH/WvQhOXI/gxKfhEzrbuZ8AeSyXCuUZGRkoKytDenq619+caU8M5URAd+MhXH79UcA6gIh7fgzFHXlSl0REEhNFEXVXOrH3TAv2nW7GQd0VdPdbbY/LZQLumqvAeuUA1gQchqL5XfRdPjLsGv4z7kbw/PUITnwGPmFznf0pkAdxqVC+ZcsW5OfnIzw83J6X9XoM5eTt+k16XPzLPbD2GBC88FnEPPIH3phJRDfp6bfgg3rDYC/66Wacau4Y9nhsiB8yEkWsV1RB2VEOy+VPYFsHHYD/tBQEzV+P4PnPwDdc6eTqyd25VCjfuHEjtm/fPqHnZGZmclZ9DAzl5M0sPUZc2vUA+g2n4TctGTPSKyDzCZS6LCJyA2cNXdh7tc1FU9uCjt5r66LLBODRuRZ8NfY4lg+8B5+Wj3F9QPeLXYHgxGcQPH89fCMWSFA9uRuXCuVGoxE5OTkTCtnz589HbW2tPcvwOAzl5K1ESz8u//0p9JzTQB4yCzOf/Qg+Idxpk4gmrm/Aio8aDHjn1OAs+omm9mGPLw3vwsbZJ3Cf7AOEGj8GxGttML7RSwd70Oevh19UkrNLJzfhUqEcAEwmE7Zs2YKEhASo1WoolcpRC6uvr0dycjJaW1vtXYZHYSgnbySKIloPfBvtn++A4BuMGekH4B+7QuqyiMhDnGvrwrunm/Hu6WZoaq6gq//aLHqsrxkbZ53EI0EfI7b9EwjigO0x38hFV3vQ18M3ehlb6cjGpUL5/Pnzbf+v1+vH/TyLxTL2SV6MoZy8kUn7PzC8/wIAAdOe3I0g5eNSl0REHqqn34L39a1453Qz3j3VjNornbbHwoV2fDnmc2wIP4q43iMQrNfWTPdRJF5tcdkAv9gVDOhezqVCeWJiIvR6PVQqFSIjI8c8X6fToaGhgaF8DEODvGDBAsjlcuTm5iI3N1fqsogcplP3JprfTAMgIvKBlxGu+mepSyIiL1Lb0oG3TzXjnVNNOKRvRb9lMC6FCJ14LPQYvhxVjaSBTyATrwvoYXEIutqD7j89BYIgk6p8crKioiIUFRXBYrGgpqbGNUJ5cnIyNm7ciOeff37cz4mKimL7yhg4U07epLf5GC6VroLY34nQZVmIWvUrzj4RkWTMPf3Q1F7BWyeb8O7pZjS19wIAgoVuPBSoxVciq7BSOAofscf2HHnIbAQnPo2gxGcQMPMeCDK5VOWTE00lr/nYuxilUonk5OQJPSciIsLeZRCRmxrouICmN9ZD7O9EwFw1oh76OQM5EUkqLMAX65fNwPplM2C1iqg6b8RbJ5vw9qkmvH3hXrzddS8ChF484H8MaYqjuN+3En4d52E+/iuYj/8K8qBpCEp4EsGJzyBg9oMQ5L5Sf0rkghxyo+dY6uvrYTKZoFAoEBcX5+yXd0ucKSdvYOkx4lLZKvRf+QK+kYsxI+MQ5AEKqcsiIhrVeWM33j7VhDdPNKGi7gp6B6zwQx/uC/gUT4YcgTqwCoHitVVeZP4RCFI+juD5zyBgrhoynwAJqyd7c6me8vE4duwY9Ho9DAYDtFot8vLyGM7HwFBOns460IOm1x9Hz4X3IQ+egRkZh+AbHid1WURE49bZOwBN7RW8eXUWvam9F77ox13+X+CRoE+wLrgKYTDazhd8QxAU9wiCEp9GUPyjkPmFSlc82YXbhfIbcfOgsTGUkycTrRY0v/sVdNXugeAXhhnpFfCPuV3qsoiIJs1qFVHZaMSbJ5vw5snL+PxSO2SwINnvNB4J/ASPhRxFtHDFdr4g90fA3NUITnwGQcrHIA+MlrB6miy3DuV79uxBQUEBKisrpSzD5TGUk6cSRRGt7/0/tH/6KiD3w/Sn30LgnIekLouIyK4aDF2DAf3EZbyna4XFasEyXx3WBn6Cx4KPYI780rWTBRkCZt2PoISnEJzwJHzC5kpXOE2IS4by1157DcXFxdDr9TAajbc8t7i4eEKrtXgjhnLyVMajhWg7/G8ABMSs+1+ELEiXuiQiIocydfdj35kWvHHiMt453Qxjdx8W+DRiTeAneCToKBb71g873y9WheDEpxCU+DT8IhdLVDWNh8uF8k2bNqG4uBjA4GosCoUCer0eSqUSAGA0Gm1rmb/44otYv369vUvwOAzl5InaT/wRV8oH35BHPvgzhK/4tsQVERE5V7/Fig/rDXjjxGW8caIJ9YYuzJY3YU3gEawJPIqV/qchw7Wo5huxAEEJTyIo4Wn4T0/mWuguxqVC+bFjx7B69Wrs2LEDGzZssB3fsmULtm7dOuzc3bt3o76+Ht///vftWYJHYignT9NZuwfN73wFEC0IT/4+Iu/7qdQlERFJShRFnLjcjjdONuGNLy7jaKMRUTIj1IGVWBNwBPcGfA5fYcB2vjxkFoKUTyA48SkEzHqASy26AJcK5ZmZmdiyZQtWrFgx7Hh+fj4KCgpuOr+iogImk4mz5WNgKCdP0qV/C01vZQDWAYQkfRXRqTu4FjkR0Q0umXvw5skmvHWiCZraFvhYOvBQgBZrAo/goQAtgmXXNisaXGpxHYISnkLgvDWQ+QZJWLn3cqnNgyIiIm4K5ACg1+tHPH/16tXIz89nKCfyEl1ny9H09rOAdQDBCzIQrS5mICciGsGMsABk3zUP2XfNQ1ff4HKLb5xYhJ+cWo3vG9pxT8DnWBN4BOqASkT1tqHj1J/RcerPEHwCETgvFUEJTw2u5BIQKfWnQuPgkFA+kuTkZBw4cACrVq2y90sSkZvobjyE5jc2AJY+BCU+jZi1v+PW00RE4xDk54Mnl0zHk0um25ZbfOvUEpSeehg/uNAGld8ZWx/6HDSjS/cGunRvAIIcAbMfQHDCUwhKeBI+obOl/lRoFHYP5aN1w6SlpWHjxo0jhvKxVmchIvfXc/Ewmt54GqKlB4Hx6xD76P+y/5GIaBJkMgF3zovAnfMi8ONHFuG8sRvvnF6Bt08+jP+ubUYc9EgNPIo1AUew2O8sehoPoqfxIFrf+3/wi105uJJLwpPwjVzM31S6ELv3lO/evRsRERFYtWoVDhw4AK1Wa7uRMzExEZs2bcL3vvc92/n19fXIyMjgOuVjYE85ubPey5W4tOcRiH3tCJirxrQn93BraSIiB+jpt+CQvhXvnGrGO6ea0G+8GtADj0DldwYy4Vrsk4fPR0jikwhKeAr+M+7gSi524FI3egKDK63ccccdeP7552EymVBaWor169ejrKwMGRkZWLNmDdLS0mA0GlFQUIDs7OwRbwKlaxjKyV31XPgQl//+1GAgn/UApj39Bm9AIiJyktqWDrx9qhl7TzfjiwYd7vc9gtSAo7gn4DP4X7eSixgQi9DEJxCc8CQC5jzMiZNJcrlQDgzOmJeXl8NgMOC1116zFZaTk4MdOwZXWhBFEQqFAg0NDQyaY2AoJ3fU1bAPzW9lQBzoHgzkT/0NMr8QqcsiIvJKnb0DeE/XindPN+P9M/WY13UY6sCjeDhAi1BZl+08izwYQXFrEJb4JALjH+WNohPgkqH8VjQaDcrKypCQkIDs7GyEh4c7uwS3w1BO7qazdg+a3/1HwNqPwLhHEfv4XyHzCZS6LCIiwuA9gLVXOvHu6WbsP3kB3Rfex0N+R6AOOIoZPgbbeVbIIZt2NyIXPo2ghCfgGx4vYdWuz+1COU0cQzm5k/aTf8SV8mxAtCJ4/gbEPPIHCHI/qcsiIqJRdPYO4KCuFe+cvAxdzUdYOvAh1AFHscjv3LDz+kIXIWrhkwhJeJI7io6AodwLMJSTuzAdL4LhvX8BAIQs+TqiV/+ayx4SEbkRURRxsqkDb59qQuXJYwi/osFq/6NI9j8FH8FqO6/PNxrByscQseBJBM5dzfuF4GahvKGhAQAQGRnJcDkBDOXk6kSrBW2H/w2mqlcAAGErvoPIB17mcltERG7O2N2P/WdacOBEDTob9uFO4WM8EHAMobJu2zkDgj8w40FMWzS4YZFPyEwJK5aOS4XyTZs24dVXXx318R07dgAYXJtcp9MhMTHRtmQijY6hnFyZpacNLe/+I7rP7gcAKO78ARR3/RsDORGRh7FYRRw914Z3Tp5H42kN4rsOYVVAFWb7tAw7rzvsdsQsehJhiU/AL+Z2r/l54FKhfP78+aitrR33+ceOHUNFRQWD+RgYyslV9V35Ak1vpmPApIPgE4jo1BKELMyUuiwiInKCc21deOdkE46dOIzApnI86F+J5X7Dc2C33wwEK9chZuFTCJjzkEcvt+hSoTwxMRF1dXUTes5Ys+vEUE6uqbN2D1r2fxNifyd8wuIQ+0Qp/GNul7osIiKSQFffAA7UteLg5yfQWf8OVOLHuM//UwTK+mzn9AuBsEx/CDOTnkaIch3kwdMkrNj+ppLXfOxdzGR+PaHX6+1dBhE5kLWvA8ajP7X1jwfMWYXYdX+GPDBK4sqIiEgqQX4+eDxpGh5PmgZRfBifXjTjjRNnce70fsxqfw+rAqowXW6A76V3Ybj0LgwVQEfo7Yhe9BQiFzwBv+jbvKbNZSR2nymPiopCa2vrmOeZzWbo9Xrk5eUBAPbt22fPMjwOZ8rJFVh7TTB/+muYtL+AtWfw6zxM9S+IvO8nEGR2f49PREQeoqWjF3tPN+HY5x/C9+I+3ON7FLf56Yad0+U7Hb5zH8WspU8j0E13FZWkfSUjIwN6vR56vR4mk2kylwAAKJVKlJeXIy4ubtLX8AYM5TQe4kAvBjovYKD9Aiwd5zHQcQGw9kMePBM+IbMgDxn8r+AXNqHZCEuPAeZjv4T5eBGsvUYAgI8iEZH3/hjB8zc46LMhIiJP1G+x4nCDAQc//wLmurexuP8j3Ov/2bA2lz4hAD3RD2DWkqegmP84fIJnSFjx+EneU67RaFBYWIiKigoIgoDVq1eP63mpqanc0XOcGMppJNb+LnQ37EVn7R50n38P1q7mcT1P8A2BryIRftFL4Re9FL5RS+AXvRTy4Jmw9hjQb6xDv7EWA8Y69LfVoavhXYh97QAA38hFUNyxBcELMjg7TkREU1bf2oW9J8+i/sReRBgO4EG/ymG7igKAMWgpFPOfwMwlT8MvZrnLtrlIHsqH5OTk4MCBAxNafYXGh6Gchlj7OtBV/w466/agu34vxIGuYY8L8gDIQ2fDJ2Q2fEJnATJfWDouYqDjPCwdF20z3SMR5P4QLb0jPuYXvQyKO/IRNH89d3AjIiKH6OobwMHaK6j87ANYzr0LlXDkptVcOuQxEGetRdxtzyBknmttWuQyoRyY3OorNDaGcrL2dcBU/V8wVf/3sCDuExaP4PnPICjhSfhGLIQsIPKWMwjW/k4MtDei33AafVe+QH/ricH/GmsBcXCnNnnILPgqEuGrSISPIhH+scsRMOdhhnEiInIaURRx4nI7Kj47gZaatzC34xDu8f8MwbIe2zn98EN75L2YsfgpxC56Ej6hsyWs2MVC+Y4dO5CVlWXPSxIYyr2ZaB1A+4k/wPjxS7B0NQEAfMITEDx/PYIXpNnt13jWgR5YOs5DHjzTpWYdiIiIAKCtqw/7T53Hmc/ehX9TOe71OYpZPleGnxOwCEHx6xB323r4T092+mSSS4VycoyhQV6wYAHkcjlyc3ORm5srdVnkQKIoorthHwwfbkF/60kAg2E88r6fICjxGZftpyMiInI0i1XE0bMGHP70MLr0byOp/yMs96uBTLgWaztlkeibrkbcsqcRseBJCHI/h9VTVFSEoqIiWCwW1NTUuEYoP378+LCPFQqFbWWVhoYG5OTkQKPRQKFQQK1WY8eOHZz5HQfOlHsXS48RLfueQ3f9OwAAWUAkFHf+K8Juy3HoNxUiIiJ3dN7YjfLPT+HCiTcRZTyIe/2OIVTWDQDotAZg3sZLCA0KdngdLrV5UHl5ObZs2QKlUom0tDRkZg5ut20ymaBSqWA0GlFYWAi1Wg2dTofVq1ejsrLS3mUQua1+UwOa/v4U+g2nALkfwm7PheKOLZAHREhdGhERkUuarQjE1+9XAfer0N3/A7xXcxGffbofsgv7EOInw1InBPKpsvtM+bFjx7Bz505s3bp12PGMjAzs3r0b5eXlWLVqle24VqtFaWkpCgoK7FmGx+FMuXfovVyFpjeegaWrCfLgmZj21N/gH7tc6rKIiIjckiiKMHb3IyLIOb9lnkpes3v3+65du24K5ABQVlYGlUo1LJADgEqlAtvaiYDOur/jUtlqWLqa4Bd9G2Y++yEDORER0RQIguC0QD5Vdm9fiYyMvOlYRUUFAECtVo/4HN6wRt5MFEWYj/0Chvc3AxAROG8tYh/7P8j8QqUujYiIiJzEKdvxlZeXQxAEpKSkjPi40Wh0RhlELqnt8L/DVFkIAAhdlo2oh3/OnTKJiIi8jN1/8kdE3HwzmkajATD6TDnbV8hbtZ/4gy2QR9xXgPCV3+VvjoiIiLyQ3XvKb9zN02QyQavVQqVSjdjw/tprryE9Pd3eZRC5vJ4LH+JKxbcAAIo7/xWK5O8xkBMREXkpu4fynJwcZGZmor29HQ0NDVCr1RAEAYWFhTedm5+fj+rqaqxevdreZRC5tH5TPZreygCs/Qiavx6Ku/5N6pKIiIhIQnZvX4mPj0d6ejrmzZtn6xUvLi62rbqye/duFBcXo6Kiwta2olAouCQieQ1rrxlNbzwDa/cV+MWqELPmt07fBpiIiIhci93XKb+eyWRCeHj4TccMBsNN58bHxzuqDI/Adco9g2i1oOmN9ehueBfy4BmY+aXD8AmZJXVZREREZAcutaPn9W4M5EPHRjpO5A0MH+aju+FdCPIATHtiNwM5ERERARhnT3l+fj5+85vfwGw2O7oeIo/VUVMKs/bnAIDoNa/Bf3qytAURERGRyxhXKFcqlSgoKEBERATWrl2L119/3dF1EXkUS3crWg/+PwBAeMpmhCzMkLYgIiIicinjCuVZWVmoq6tDbW0tVqxYgRdeeAFyuRyZmZkM6ETjYHj/BVi7W+AblYSIu/5d6nKIiIjIxUxoyQelUomtW7eirq4OlZWViI+Pxze/+U1bQD948KCj6iRyW11ny9Fx6n8BCIhWF0OQ+0ldEhEREbmYSa/DplKpsHXrVhgMBuzbtw8RERHYsGEDoqKisGnTJgZ0IgDW/k60VuQCAMKW5yJgxp0SV0RERESuyC6LI6vVamzfvh0GgwE7d+5Ea2srVq9ejaioKOTn5+PTTz+1x8sQuZ22wy9hwNwAeehcRNzzH1KXQ0RERC7K7juWqNVq7Nq1C1arFcXFxdDpdFixYgXmz5+P/Px8nD171t4vSeSSei9Xwnz8lwCA6NVFkPmFSFwRERERuSqHbiOYlpZmC+gFBQWorq5GfHw85s+fj1deeQUNDQ2OfHkiyYiWPrRocgDRiuBFX0ZQ3FqpSyIiIiIX5rS9vdPS0rB//360tbXhhRdewP79+6FUKpGSkoL/+q//4hro5FFM1f+F/itfQBYYjagHX5G6HCIiInJxTgvlQ8LDw5GdnW0L6FlZWfjLX/6CiIgIpKSkcJMicnv9pnoYj/wUABD14CuQB0ZLXBERERG5OqeH8usNBfSqqirU1tYiPT192CZFDOjkjtoO/xCipRcBc1YheOGXpC6HiIiI3ICkofx6SqUSmzdvHrZJ0VBAz8zMlLo8onHpbdKi88xfAQCR9xdAEASJKyIiIiJ34DKh/Ho3blKUkcEtycn1iaIIw4f5AIDgRV+Gf+wKiSsiIiIid+EjdQFjUalUUKlUUpdBNKbus/vR03gQkPsh4u6XpC6HiIiI3IhLzpQTuRvRarHNkofdngvf8DhpCyIiIiK3YvdQfvz48WF/rl+LvKGhAWvXroVcLkdUVBQyMzN5Iyd5hI5Tfx5cAtFfAcUdeVKXQ0RERG7G7qG8vLwcK1euRHp6Onbu3Amj0QgAMJlMUKlUKC8vx9atW6HRaJCeno7Vq1fbuwQip7IOdKPt45cAAOEpeZAHREpbEBEREbkdu/eUq9VqvPDCC9i6deuw41lZWTCZTNBoNFi1ahUAYMWKFVAqlcjPz0dBQYG9SyFyCvOxX8HScR7y0LkIW54rdTlERETkhuw+U75r166bAjkAlJWVQaVS2QL5EJVKBVEU7V0GkVNYuq/AWFkIAIi45yXIfAIkroiIiIjckd1DeWTkzb+6r6ioADA4iz4SruVM7sp4tBBinxl+0bchZNGXpS6HiIiI3JRTVl8pLy+HIAhISUkZ8fGhvnMid2LpbEL7Z8UAgIj7fgJB4GJGRERENDl2TxERERE3HdNoNABGnyln+wq5I9PxX0K09MBvWjIC562RuhwiIiJyY3YP5XV1dcM+NplM0Gq1UKlUCAsLu+n81157Denp6fYug8ihrL0mmD/dDgBQpOSxBYuIiIimxO6hPCcnB5mZmWhvb0dDQwPUajUEQUBhYeFN5+bn56O6uprLIpLbMX9WDLHPDN/IxQhKeELqcoiIiMjN2X1JxPj4eKSnp2PevHm2XvHi4mLbqiu7d+9GcXExKioqbG0rCoWCSyKS27AOdMN07BcAgPDk77OXnIiIiKZMEB3Y0G0ymRAeHn7TMYPBcNO58fHxjirDI5jNZoSHh8NkMo3YBkTOY/50O1oPfgc+ofMw+7mTEOS+UpdERERELmAqec3uM+XXuzGQDx0b6TiROxCtAzBV/wwAEL7yXxjIiYiIyC4cGspH0tDQAGBwPXPO+JK76TyzEwPmBsgCYxCy5DmpyyEiIiIPYfdQvmnTJrz66qujPl5eXg5gcG1ynU6HxMREfP/737d3GUR2J4pWGKteBgCEr/gnyHyDJK6IiIiIPIXdQ/nQmuSjycrKGvbxsWPH8MorrzCYk8vr0r+N/taTEPxCEXrbRqnLISIiIg9i92UjJnrf6IoVK6DT6exdhqSMRiPKysqQkJAw4uNarRapqanYtm0bysrKsG3bNuTk5Di5SpoIURRhqtwGAAi7LQfyAIW0BREREZFHsftM+WQ2UdHr9fYuQzJarRZVVVWIjIy85eel1+uRl5cHpVKJtLQ0FBcXO7FKmqieCx+g9/IRCHJ/hK34jtTlEBERkYexeygfabnDkZjNZlsw9SQqlQoqlWrMNxqlpaVQqVROqoqmynzslwCAkKSvwSd4usTVEBERkaeZdCjPyMiAXq+HXq+HyWQa9phcLh/3dZRKpe3mTyJXNNBxAV36twAAYcs3SVwNEREReaJJh/Jdu3bZ/l+j0aCwsBAVFRUQBAGrV68e1zVSU1ORnZ1tt3XLjUYj8vLyoFAoUFhYOOp5Go0G5eXlSEhIsO06unnzZrvUMF4ajcbW5lJZWYn8/HwoFAqn1kDj0/75bwDRgoBZ98MvaonU5RAREZEHskv7ilqthlqtRk5ODg4cOID9+/fb47LjlpeXB71ej5SUFGg0GqjV6lHPLSsrw86dO1FaWmo7ptFokJqa6tQZ+6FecmCw5WXlypUed8OrJxAt/Wj/4rcAgNDbsiWuhoiIiDyVIE50uZQxJCYmoq6uzp6XnJCVK1ciOTl5xBsnjUYj4uPjUV9ff9Os9MqVK5GTk4PsbPsEL71ej4SEhHGvRhMREYEdO3bYgvqNprJtK01eZ93raH4rE7KgWMz9ph6C3E/qkoiIiMhFTSWv2f1GT1e+cXPXrl1QKpUjtolkZmaiuLjYFso1Gs24V0S5ftZ9soZ660cL5SQN82clAIDQJc8xkBMREZHD2D2U37g5kCspLS1FZGTkiI8plUpotVoYjUYoFApbS44jREREoKKigquvuLj+tlr0nKsAICB06fNSl0NEREQezO6bB03G/PnznfI6VVVVUCqVIz42dNwZa6YnJyffVIder8fKlSsd/to0fubPXwMABMY9At/wOGmLISIiIo9m95nyyWhtbXXK6wzNgt+KXq+3ywz20KouI7nx+mVlZVAqlePqZzebzcM+9vf3h7+//6RqpNFZB7rRcfIPAIAw3uBJREREI+jt7UVvb6/t4xtz2kQ4JJSbzWaUlJSgvLx8zM2ERlrnXApDYX28mx+NRq/Xo6yszLaSS3p6OlJSUpCdnW17jcLCQmzbNrhle2trK4xGI6qrq8d1/Tlz5gz7+Ic//CFeeumlKdVMN+usKYO1xwCf0HkIjHtE6nKIiIjIBRUUFOBHP/qRXa5l91BuMpkQHx9/y5niGwmCYO8yJKNUKrF58+Yx1z2f7LrojY2Nw+7m5Sy5Y7QP3eC57JsQZOPfDIuIiIi8R35+Pr773e/aPjabzTdNoI6X3XvKs7KykJycjOrqalit1jH/GAwGl9g0Z+hNxGg3grqKsLCwYX8Yyu2vt/k4ei8fAWS+CF3ydanLISIiIhfl7+9/UzabLLvPlOv1elRVVY37fIVCgYiICHuXQTRpQ7PkwYlPQx48TeJqiIiIyBvYfaY8OTl5ws+xxzrf46FUKkddXWWol3y01VnIO1h7zeg48xcAQOhtORJXQ0RERN7C7qF8MrPeK1assHcZI1KpVKP2ug+Fda4d7t066/ZA7O+Eb8RCBMy6X+pyiIiIyEvYPZRHRkaioaFhQs85cOCAvcsYUWpq6qgz5TqdzmGbBZH76Dj5vwCAkKR/9KgbkImIiMi12T2Uv/DCC9i6deuE1mnMyXFOm0BGRgYMBsOIwbysrMxpdZBr6jefRc+F9wEICFn0JanLISIiIi/ikHXKt2/fjvz8fACDs9NKpXLUVU10Ot2U1wa/ntFoHPV6CoUCO3bsQF5e3rA+9qHNe9LS0uxWh6OkpKRALpcjNzcXubm5UpfjUTpPD/aSB8x+ED6hk1vOiIiIiLxPUVERioqKYLFYJn0NQRRF0Y41QSaTTerX/lP5JLZt24bKykro9XpotVoAgFqthkKhQGZm5k1hW6PRoLy8HAkJCbYe88muG+4sZrMZ4eHhMJlMU1puh0YmiiIu/HEZ+ttqEJ36GkKXfFXqkoiIiMjNTCWv2T2UJyYmQq/X20LxWHQ6HY4fPz6lUO4NGModq/dyFS7+9R4IPoGYm30eMr9QqUsiIiIiNzOVvGb39hWFQoGysjKsX79+3M+JioqydxlEE9JxavAGz6CEpxjIiYiIyOkcsk75RNf6jo+Pt3cZROMmWvrRUbMLABCy+CsSV0NERETeyO4z5du3b5/wcyayAyiRvXWf3Qdr9xXIg6YhcO5qqcshIiIiL2T3mfLrHThwAPn5+Vi7di327Nkz7LEtW7ZMeD1zIkdov9q6ErzoSxBkDlmQiIiIiOiWHJJAGhoakJ6eDq1Wi6H7SFNTU4edk5+fj4KCAqxZswarVq1yRBlEY7L0tKFb/zYAIGTRlyWuhoiIiLyVQ2bK1Wo12trasH37dlRXV6Otre2mc8LDw7F161bs37+fM+Ykmc7a3RAtvfCNWgK/mNulLoeIiIi8lN1nyrds2QK1Wj3u3vKtW7di06ZNePXVV+1dCtGYOk79GQAQsvgfJrW+PhEREZE92H2m3Gg0TvhmTzsvle7RUlJSkJSUhKKiIqlLcXv9Jj16L34EQEDIomelLoeIiIjcVFFREZKSkpCSkjLpa9h9pnwys42coRy/yspKbh5kJx2n/g8AEDB3NXxCZklcDREREbmr3Nxc5Obm2jYPmgyHrr4yXnq9XuoSyMuIooiO04OhPGQxb/AkIiIiadk9lLe2tuLs2bPjPn/Pnj3cPIicrq+pCgPGOgg+QQhOeFrqcoiIiMjL2T2UZ2dnIy0tbVzBvKKiAllZWdiyZYu9yyC6pY7TfwUABCU8AZlfiMTVEBERkbezeyhXq9VYtWoVlEolXnzxRRw4cABmsxmtra0wm80wm804cOAAMjMzsWbNGmzduhVxcXH2LoNoVKJ1AJ01uwAAIQt5gycRERFJTxAdtPRJXl4eXn755VFv4hRFEcXFxcjKynLEy3ucoRsHTCYTb/Scou6zGlx+fR1kAVGYm3UOgtxX6pKIiIjIA0wlrznsRs/CwkLU1dVh/fr1iI+PhyiKtj8bNmyATqdjICdJdJz+CwAgeEEaAzkRERG5BLsviXg9pVKJ0tJS28cmk2nSy8QQ2YN1oBudur8BYOsKERERuQ67z5RnZmaO+hgDOUmtW/82xL52+ITOg//Mu6Uuh4iIiAiAA0J5aWkpPv30U3tflq7ijp5TY2tdWZgBQXCJZfqJiIjIzdljR0+73+gZGRmJ6Oho7Nq1C8uXL7fnpb0ab/ScOktPG86VzAas/Zj1D1r4RS+VuiQiIiLyIC51o6fRaERYWBi2b9+OzMxMHDhwwN4vQTQpnbV7AGs/fKOXMpATERGRS7H7jZ4qlQpVVVW2j3fv3o2MjAzccccdyM7O5iwvSabzzOCGQSELvyRxJURERETDOWyd8hsdO3YMxcXFEAQBOTk5bG2ZILavTM1A+3k0/iYBgIg536iDT9hcqUsiIiIiD+NS7SujWbFiBbZv345XX30VlZWVyMjIwJ49e5z18uTlOs7sBCDCf9Z9DORERETkciRZfiIrKws7duzA9u3bERUVhfz8fCnKIC/C1hUiIiJyZU4P5QcOHEBmZiYiIyOh0WggiiKioqKcXQZ5kb7Wk+hr+RSQ+SB4/nqpyyEiIiK6id1v9DSbzTf10JjNZuzatQuFhYXQ6/UQRRFqtRp5eXlYvXq1vUsgGqbj6ix5UNxayAP5BpCIiIhcj91DeXx8PFpbWwEAx48fR3FxMUpKSgAM7uj5wgsvICcnB/Hx8fZ+aaKbiKKIzjOlAIDgBaPvNktEREQkJbuHclEUsWnTJlRVVUGr1UIURahUKuTk5CArK8veL0d0S33NWgyYdBB8AhGkfFzqcoiIiIhGZPdQDgAlJSUQRRFpaWnIz8/HihUrHPEyRGPqrBmcJQ+KfwwyvxCJqyEiIiIamUNu9MzKykJbWxt27drFQG5nKSkpSEpKQlFRkdSluDxRtKLjaigPXpghcTVERETkqYqKipCUlISUlJRJX8PumwdFRkbCYDDY85IEbh40GT0XD+PSrocg+IVibvYFyHwCpC6JiIiIPJhLbR6UkcEZSXINnWd2AQCCE55kICciIiKXZvdQvn37dtv/HzhwAPn5+Vi7du1Nu3du2bIFDQ0N9n55IgCAaLWgs3Y3ACB4Ad8oEhERkWtzyI2eDQ0NSE9Pt62+AgCpqanDzsnPz0dBQQHWrFmDVatWOaIM8mI9F96HpasJsoBIBM7lWvhERETk2hxyo6darUZbWxu2b9+O6upqtLW13XROeHg4tm7div3793PGnOzO1rqS+AwEuZ/E1RARERHdmt1nyrds2QK1Wj2sjeVWtm7dik2bNuHVV1+1dynkpURLPzrrXgcABC9Il7gaIiIiorHZfabcaDSOO5APsfMCMOTlus9VwNpjgDxoGgJmPyh1OURERERjsnsoFwTBKc8hGk1nzdXWlfkbIMjkEldDRERENDaH9JRPlF6vl7oE8hDWgR506v4OgK0rRERE5D7sHspbW1tx9uzZcZ+/Z88exMfH27sM8lLdDXsh9rVDHjIb/jPvlrocIiIionGxeyjPzs5GWlrauIJ5RUUFsrKysGXLFnuXQV6qs6YUwOAsuSC4xC+CiIiIiMZk99SiVquxatUqKJVKvPjiizhw4ADMZjNaW1thNpthNptx4MABZGZmYs2aNdi6dSvi4uLsXQZ5IWt/J7r0bwMAQhZywyAiIiJyH4LooKVP8vLy8PLLL496E6coiiguLkZWVpYjXt7jmM1mhIeHw2QyISwsTOpyXFLHmV1oefcf4BOuxOznTvEGYiIiInKqqeQ1h/1+v7CwEHV1dVi/fj3i4+MhiqLtz4YNG6DT6RjIJyElJQVJSUkoKiqSuhSX01m3B8DVVVcYyImIiMhJioqKkJSUhJSUlElfw2Ez5SMxmUwIDw931st5FM6U35q1vxPnimdCHOjGzC99Av9pKqlLIiIiIi/j8JnylJQUNDQ0TKa2YSYbyO31+uS5uhv2Qhzohk9YPPxiV0hdDhEREdGEjCuUV1dXO7oOl359cn2dNbsBAMHzn2HrChEREbmdcfeUM+iQq7L2d6Gr/h0AQPD8NImrISIiIpo4n/GemJ2dDYVC4cBSRsc3BHQr3Wf3QRzogk/oPPhNWyl1OUREREQTNq5QXlhY6Og6bik5ORmRkZGS1kCua6h1JWj+er6BIyIiIrc0rlD+wgsvOLoOokmxDnRf17qyQeJqiIiIiCaH+5CTW+tu2A+xvwPy0Dnwnz75tUGJiIiIpMRQTm7NtmFQIltXiIiIyH0xlJPbsg70oEv/FgAgeP56iashIiIimjyGcnJbPec0EPvaIQ+ZBf8Zd0pdDhEREdGkMZST2+qsvbphUOJ6CAL/KRMREZH7YpIhtyQO9KJLx9YVIiIi8gwM5eSWuhsrYO0zQR48A/4z75a6HCIiIqIpYSgnt9RZO7TqyjNsXSEiIiK3xzRDbke09KFL9wYAIIgbBhEREZEHYCgnt9N9/hCsvUbIgmIRMPMeqcshIiIimjKGcjeTkpKCpKQkFBUVSV2KZLrq/gYACE54CoJMLm0xRERE5PWKioqQlJSElJTJ7y4uiKIo2rEmchCz2Yzw8HCYTCaEhYVJXY5kRKsFja/FwdLVhGnPvI2gealSl0REREQEYGp5jTPl5FZ6L30MS1cTZP4KBM5+UOpyiIiIiOyCoZzcSufV1pUg5eMQ5H7SFkNERERkJz72vuCBAweg1+uh0+mg1+thNBptjykUCiiVSiQkJECpVCI5OdmrWzFoYkRRvBbKE5+WtBYiIiIie5pyKG9oaEBxcTE0Gg20Wi2GWtQVCgUiIyNt/zUYDNDpdCgvL7cFdUEQoFKpoFarsXHjRsybN2+q5ZAH62vWwtJ+DoJvMALZS05EREQeZNLtKwcOHMCaNWugVCpRXl6O1atXY//+/dDpdLBarTAYDKirq0NVVRX279+Pqqoq1NXVwWAwwGq1QqfTYf/+/cjIyEB5eTni4+ORkpKCgwcP2vPzIw/SWfc6ACAo7hHIfAIlroaIiIjIfia8+kpDQwOys7NRX1+PzZs3IyMjA+Hh4VMuxGQyYefOndi2bRsSEhJQUlLCmfPrePvqK6Io4sIfl6K/rRYxj/4JIQszpS6JiIiIaBinrb6ye/duW6tJbW0tsrKy7BLIASA8PBzZ2dmoq6tDVlYWVq9ejddff90u1yb31284hf62WkDuh6C4R6Uuh4iIiMiuxh3Kt2zZAo1Gg7q6Oqxfv96RNSEtLQ11dXU4cuQI8vPzHfpa5B6GWlcC56oh8/e+3xQQERGRZxtXKH/55ZeRkpKCV1991dH1DLN161YkJyfjlVdecerrkuux7eKZ+Iy0hRARERE5wLhWX1Gr1VixYoWjaxnRhg0bcOzYMUlem1xDv0mPvpZPAUGOIOVjUpdDREREZHfjmimXKpC7yuuTtIZmyQNmPwB5YLS0xRARERE5AHf0JJfXydYVIiIi8nATCuWbNm1yVB1EIxrouIjeS58AAIISnpS4GiIiIiLHmFAoLykpcVQdRCPq0r0BAPCfcRd8QmZKXA0RERGRY0wolIuiiPb2dkfVQnSTa60rT0taBxEREZEjTbinPC8vDw0NDQ4ohWg4S08bes4fAsDWFSIiIvJsEw7lxcXFSEhIQFRUFDIzM/Haa68xpJNDdNe/A4gW+EYtga8iUepyiIiIiBxmQqE8PDwcoihCFEW0tbWhrKwMOTk5Uw7px48fn9D55B06r/aTB3OWnIiIiDycIIqiON6TtVottm7ditTUVBiNRuzfvx8VFRXXLiYItv9XKBRQq9VITU2FWq1GXFzcqNeNiopCa2vr5D4DL2E2mxEeHg6TyYSwMM/fZt460I1zxTMh9ndi5pc+gf80ldQlEREREd3SVPLahEL5kJdffhkGgwEFBQUAgGPHjkGj0aC8vBxVVVUwGo2DFx9nSJfJZLBarRMtw6t4Wyjv0r+NpjeegTxkNuZ8Uzfs3xIRERGRK3J6KAeA+vp6bNu2Denp6Vi1atWwx0YL6cC1oK5QKJCcnAyFQoGysjJYLJbJlOE1hgZ5wYIFkMvlyM3NRW5urtRlOUxLeQ46TvwOYbd/C1EP/1zqcoiIiIhGVVRUhKKiIlgsFtTU1Dg3lA/ZvXs3NBoNCgsLR33x+vp6W0jXaDQ3hXSFQsH2lTF400y5aLXg3I65sHa3YPqGfQic87DUJRERERGNSZKZ8uuZTCYUFBQgMTERzz///JjnXx/Sy8rKEBERwVA+Bm8K5T0XPsSl0lWQ+UdgbvZ5CHJfqUsiIiIiGtNU8tqEl0QcSXh4OLZu3YqVK1ciMzNzzNVU4uPjkZWVhV27dqGqqsoeJZAHGVp1JUi5joGciIiIvIJdQvmQFStWYOfOnSgvL0d+fv64nqNSqYa1s5B3E0URXUOhnEshEhERkZewaygf8sILLyA7OxsbN27Enj17xjw/PDzcEWWQG+pv/QIDJj0EeQAC562RuhwiIiIip3BIKAcGW1S2b98OURSxadOmW24oVF1d7agyyM0Mta4EzlsNmW+wxNUQEREROYfDQvmQDRs24NVXX8X27dvxyiuvjHhOfHy8o8sgN3GtdeUpiSshIiIich6Hh/IhW7duxerVq5GRkTHmjaDknQbM59DXfAwQZAiKf0zqcoiIiIicxmmhHBi8EXTXrl22G0HNZrMzX55cXKf+TQCA/8x7IA+KkbgaIiIiIudxaihvaGjAgQMHEBERAZ1Oh/j4eLz++uvOLIFc2FDrSjBXXSEiIiIv42PPi5nNZuj1etsfnU6Hqqoq6PX6EZc9FEURaWlpUKvV2Ldvnz1LITdj6TGg5/z7AIAg5RMSV0NERETkXBMO5cePHx8Wuq8P4TcabbNQpVJp+5OQkACVSjXxysmjdNW/A4gW+EYtga8iQepyiIiIiJxqQqFcLpffdGyk4K1QKKBUKpGcnIyEhIRhIZxrktNIuvRvAWDrChEREXmnCYVyURQhCALCw8Nvmu0e+n8ub0gTJQ70ovtsOQAgSPm4xNUQEREROd+E21fi4+ORlpaGNWvWYNWqVY6oibxM94X3Ifa1Qx40HX7TVkpdDhEREZHTTTiUl5WVobW1Ffv378fmzZshCALUajVSU1MZ0mlSuvVvAwAClesgCE5dEIiIiIjIJUw4lC9fvhwAsHr1atuxiooK7N+/H1u3bkVbW9uEQ/qmTZvw6quvTrQU8gCiKKLraijnhkFERETkrQRxtCVSRrBmzRrs379/zPMqKipQXl4OrVY7LKQnJycjLCxs2LkmkwmRkZGwWCwTr96LmM1mhIeHw2Qy3fR36M76Wj7DhT8nQ5AHYO7Gy5D5BkldEhEREdGkTCWvTWimfDyBHBicRb9+Jv3YsWPQaDS2mfTk5GSkpqZCpVJh69atEyqYPEtX/eAsecDcVQzkRERE5LXsunnQaFasWIEVK1bghRdeAHAtpG/evBl6vR6CIDijDHJBXbrBpRC56goRERF5M0nuqhsK6HV1dcNm1Mm7DHReRm9TJQAgKH6dxNUQERERSUfypS4KCwulLoEk0l3/DgDAb9pK+ITMlLgaIiIiIulIHspVKtWIu4KS5xvaxZOtK0REROTtJA/lAFBdXS11CeRk1oFudJ+rAMClEImIiIhcIpSvWLFC6hLIyXrOHYA40A156Bz4xdwudTlEREREknKJUE7e5/oNg7j6DhEREXk7hnJyOlG02tYnD1KydYWIiIhoXKF848aNaGhocHApI2toaMCmTZskeW1yjL7mY7B0XoLgG4LA2Q9JXQ4RERGR5MYVyrdv347s7GwcPHjQ0fUMU1FRgZycHLz66qtOfV1yrKFVVwLnqSH4+EtcDREREZH0xt2+sn//frz66qvYtGkT2tvbHVkTzGYzNm7ciJKSEuzbt8+hr0XOZ1sKMZ5LIRIREREBE+wp37VrF1asWIF58+YhPz8fZ8+etWsxDQ0N2LJlC+Lj45GcnIydO3fa9fqeICUlBUlJSSgqKpK6lEkZaD+PvpZPAQgIin9E6nKIiIiIpqyoqAhJSUlISUmZ9DUmfKNndnY26uvrYbVaER8fj5SUFLzyyis4fvz4pAo4fvw4XnnlFaxZswYJCQkwmUzQ6/V4/vnnJ3U9T1dZWYmTJ08iNzdX6lImpathLwDAf/odkAfFSlwNERER0dTl5ubi5MmTqKysnPQ1BHEK22maTCbs3LkTJSUl0Gq1EAQBSqUSKpUKkZGRUCgUiIqKsp3f2toKo9EIg8EArVYLvV4PYHCd8pycHGRkZCA8PHzSn4wnM5vNCA8Ph8lkQlhYmNTlTFrTGxvQpX8Tirt/iIg7/1XqcoiIiIjsZip5bUqh/Homkwnl5eXQaDTQ6/XQ6/UwGAwwGo3DzlMqlbY/qampUKvVDOLj4AmhXBzoxdni6RD7OzHzy0fgH8tNo4iIiMhzTCWv+diriPDwcKSlpSEtLc1elyQP03PhA4j9nZAHTecunkRERETX4eZB5DRD/eSB8Y9AEPhPj4iIiGgIkxE5TVf9OwCAoDiuukJERER0PYZycor+tloMGOsAmQ8C56qlLoeIiIjIpUyop/z48eO2mzhbW1uh1+shiiIEQUBmZibWr1/vqDrJzQ21rgTMvA8yf/e8UZWIiIjIUSYUytPS0lBfX4/w8HC8+OKL2LJlC1dOoXHprh8M5UHxj0pcCREREZHrmfDqKwqFAnq9nmGcxs3a14HuC4cADN7kSURERETDTbinPD8/n4GcJqS78SBg6YNPWDx8IxZJXQ4RERGRy5lwKOc65DRR3fXvAhhaClGQuBoiIiIi1zPhUB4ZGemIOshDiaJou8kzKI795EREREQjmVAoFwTBbbd4J2n0X/kclo7zEHwCETDnQanLISIiInJJXKecHMq2FOKchyHzCZS4GiIiIiLX5BKhfO3atVKXQA5yrXWFq64QERERjcYlQrler5e6BHIAS08bei9+DAAIZCgnIiIiGpVLhHKDwSB1CeQA3WfLAdEC38jF8A2Pk7ocIiIiIpc1oc2DRFFEZmYmlEql3QrQarUwGo12ux65ju6GwaUQuYsnERER0a1NeEfPsrIyuxYgiiLXrvZAomhF19lyAGxdISIiIhrLhEN5fHw8VCqV3Qqorq5GQ0OD3a5HrqGv5VNYu5oh+AYjYOY9UpdDRERE5NImFMoFQUB1dbXd1yqPioqy6/VIet1nNQCAgNkPQpD7SVwNERERkWub0I2eoig6ZPOgiIgIu1+TpNV9tXUlaN4aiSshIiIicn0TCuXFxcUOKcJR1yVpWPs60HPxIwBA4LxUiashIiIicn0TCuWrV692SBGOui5Jo+f8IcDaD5+wePgoEqUuh4iIiMjlucQ65eRZhlpXAuepubIOERER0TgwlJPddZ8bCuVsXSEiIiIaD4Zysqt+UwP622oBQY7AOQ9LXQ4RERGRW2AoJ7saal3xn3EXZP7hEldDRERE5B4Yysmuus/uB8DWFSIiIqKJYCgnuxEt/ehuPAiA65MTERERTQRDOdlN7+WjEPvMkAVEwi92hdTlEBEREbkNhnKyG9uqK3NXQ5DJJa6GiIiIyH0wlJPddDcMLYXI1hUiIiKiiWAoJ7uwdLeit6kKwOCmQUREREQ0fgzlZBfd5yoAiPCNWgKfkFlSl0NERETkVhjKyS6G1idn6woRERHRxDGU05SJoojucxoAbF0hIiIimgyGcpqyfsNJWDouQJAHIGDWfVKXQ0REROR2GMppyrrPDs6SB8x+ADKfQImrISIiInI/DOU0ZUO7eAbOXSVxJURERETuiaGcpkS0DqDnwgcAgIA5D0tcDREREZF78pG6AE9kNBqh0WiQl5cHnU436nnbtm2DQqGwPWfz5s1OqtB+epuqIfa1QxYQCb+Y26Uuh4iIiMgtMZTbmVarRVVVFSIjI6HX60c9LzU1FYWFhVCpVACAhIQEKJVKpKWlOatUu+hpPAAACJj9IASBv3ghIiIimgyGcjtTqVRQqVS3DOQlJSVQKpW2QA4AhYWFbhfIAaC78T0AQCBbV4iIiIgmjVObEsjLy0NqauqwY+4YyK0DPei9eBgAEDDnIWmLISIiInJjHjVTbjQakZeXB4VCgcLCwlHP02g0KC8vR0JCAoxGIwA4rZ/baDTCaDRCoVCgpKQEAKDT6ZCTkwOlUumUGuyl99LHEC29kAfPhG/EQqnLISIiInJbHhHK8/LyoNfrkZKSAo1GA7V69F0ly8rKsHPnTpSWltqOaTQapKamory83OG1DrW1aLVa2xsBo9GI+Ph41NfX2278dAdDSyEGzHkIgiBIXA0RERGR+/KI9pXCwkKUlpZi8+bNtwy1RqMRWVlZ2LFjx7DjarUaBoPBNnPtSAaDAQCGzYorFAokJyejoKDA4a9vTz3nrq5PPofrkxMRERFNhUfMlI/Xrl27oFQqRwzumZmZKC4uRnZ2NoDB2fPi4uJxXff6WfexREZGAsBNrSoKhQJarXbc15GatdeM3qYqAEDAnAclroaIiIjIvXlVKC8tLbWF4hsplUpotVpbv7darb5lG8xkXb/iijvrufghIFrgE54A37B5UpdDRERE5NY8on1lvKqqqka9mXLo+K2WMrSXkZZMNBqNbhXYu22tK1wKkYiIiGiqvCqUD82C34q9QvnQqi4jKSwsHNYao9frodfrkZ+fP+Z1zWbzsD+9vb32KHfCeq67yZOIiIjIG/X29t6UzSbLq9pXbmUorA/diDlZer0eZWVltpVc0tPTkZKSguzsbNtrDLXF5OXlISoqCjqdDuXl5eNaeWXOnDnDPv7hD3+Il156aUo1T5SlqwV9Vz4DAAQylBMREZGXKigowI9+9CO7XIuh3M6USiU2b9485rrnk+1Zb2xsRFhYmO1jf3//CV9jqnrOHwIA+EYvhTwo1umvT0REROQK8vPz8d3vftf2sdlsvmkCdbwYyq8aajcZ7UZQVxEWFjYslEuhu/E9AEDgbPaTExERkffy9/e32wSpV/WUk310Nx4AAATOZSgnIiIisgevCuVKpXLUGzlH2tSHbjbQ3ogBYx0gyBAw636pyyEiIiLyCF4VylUq1airogyFdXdallAK3VdXXfGflgyZf7jE1RARERF5Bq8K5ampqaPOlOt0OodsFuRpehrfA8ClEImIiIjsyatCeUZGBgwGw4jBvKysDDk5ORJU5T5EUbx2kyc3DSIiIiKyG48L5UajcdS1xhUKBXbs2IG8vLxhx8vKyqBUKpGWluaMEt3WgEkHS8d5QO4H/5n3SF0OERERkcfwiCURt23bhsrKStvOmHq9HqmpqVAoFMjMzBwWttPS0qBQKJCXl4eEhARbj/nQZj+uLiUlBXK5HLm5ucjNzXXqa/dc+BAA4D/9Dsh8Ap362kRERESuqqioCEVFRbBYLJO+hiCKomjHmshBzGYzwsPDYTKZJFunvGXfN9Fx6k8IT8lD5L0/lqQGIiIiIlc1lbzmce0r5Dg9Fz8CAATMuk/iSoiIiIg8C0M5jctAxwUMmPSD65PPuFvqcoiIiIg8CkM5jctQP7lfzO2Q+UvTPkNERETkqRjKaVx6LlxtXZnJ1hUiIiIie2Mop3HpufABACBgNkM5ERERkb0xlNOYLD0G9LeeAAAEzLxX4mqIiIiIPA9DOY2p9+JhAIBvxALIg2IlroaIiIjI8zCUu5mUlBQkJSWhqKjIaa85dJNnwKz7nfaaRERERO6iqKgISUlJSElJmfQ1uHmQm5By86CLf70PvZePInrtbxG6+B+c+tpERERE7oKbB5HDWPs70dusBcCZciIiIiJHYSinW+q9dASwDkAeOge+YfOkLoeIiIjIIzGU0y3Z+sm56goRERGRwzCU0y3xJk8iIiIix2Mop1GJlj70Xj4CAAiYxZlyIiIiIkdhKKdR9TYfgzjQDVlAFHwjF0tdDhEREZHHYiinUfVc+ADA4Cy5IAgSV0NERETkuRjKaVTX+snvk7gSIiIiIs/GUO5mnLWjpyha0XvxMAAgYCZDOREREdFouKOnF3H2jp59LZ/hwp+TIfgGY96mFggyH4e/JhEREZE7446eZHc9Fz8CAPjPuJuBnIiIiMjBGMppRD3nh27yZOsKERERkaMxlNNNRFG0zZQzlBMRERE5HvsSaETTnvo7ei58CP/pk79hgYiIiIjGh6GcbiIIAvxjl8M/drnUpRARERF5BbavEBERERFJjKGciIiIiEhiDOVERERERBJjKCciIiIikhhDORERERGRxBjK3UxKSgqSkpJQVFQkdSlEREREBKCoqAhJSUlISZn8UtKCKIqiHWsiBzGbzQgPD4fJZEJYWJjU5RARERHRDaaS1zhTTkREREQkMYZyIiIiIiKJMZQTEREREUmMoZyIiIiISGIM5UREREREEmMoJyIiIiKSGEO5F+rt7cVLL72E3t5eqUvxWhwD6XEMpMcxkB7HQHocA9fgCuPAdcrdhD3XKeea59LjGEiPYyA9joH0OAbS4xi4BnuNA9cp90Kj7eg50nFX2f3THnVM9BrjOX+sc271+Hj/vjkGUzuPYzC1a0gxBqMdd4VxkGIMxvucyX4/8sYxmMx1OAbDuer3I2/6uTyMSG7BZDKJAESTySSKoiguXrx4xPNGOn7jsRuv5Syj1ezIa4zn/LHOudXj4/n7HukYx2Bi53EMpnYNKcZgtOPXH/OmMRjvcyb7/cgbx2Ay1+EYjF6Hs67h6T+Xp3IdH8neDdCEiFe7jMxmMwDAYrHY/v96Ix2/8djQ/4/0fEcarWZHXmM85491zq0eH8/f90jHOAYTO49jMLVrSDEGox2//pg3jcF4nzPZ70feOAaTuQ7HYOzaHH0NT/+5PPR8cRLd4ewpdxPnz5/HnDlzpC6DiIiIiMbQ2NiI2bNnT+g5DOVuwmq14uLFiwgNDYUgCFKXQ0REREQ3EEUR7e3tmDlzJmSyid26yVBO41ZSUgKdToeEhATodDrk5+dDoVBIXZZXKSsrg8FgAADodDpkZmZCpVJJXJX3yMnJwcqVK6FUKhEZGTnsMaVSya8HJ9u2bZvt79xoNGLz5s3SFuRFtFot8vLykJqaCqVSCb1eD51Oh+LiYqlL81rbtm2DSqWCWq2WuhSvUlJSAmDwe1BlZSVycnImPwZT6mYnr1FcXCympaXZPq6urhZVKpWEFXmf4uJiUafTDTuWlpYmtrW1SVOQF1KpVCKAm/4oFAqOg5Op1Wqxurra9rFSqRRLS0slrMi7VFdXi0qlUgQgKpVKcfPmzVKX5NV0Op0IQCwvL5e6FK+SnZ097O+8vLxcBDDpnwdcEpHGJScnBzk5ObaPVSoVjEYjNBqNhFV5l9LSUiiVymHHUlNTUVVVJVFF3ketVkMUxWF/qqursWPHDs6SO1FJSQmUSuWw3xIVFhYiLS1Nwqq8T2lpKURRhE6nQ2FhodTleDWNRnPTzwdyPIPBgNLSUtvHQ2Mw2Z/LDOU0Jq1WCwA3fcErlUqUl5dLUZLXysvLG/ZxdXU1kpOTJarG+2RmZt50TKPRMAw62VDbxPU4BuStysrKkJGRIXUZXqm0tHRYy9ZQXprsz2UuiegGjEYj8vLyoFAobjkbodFoUF5ejoSEBBiNRgBwaI+lQqGw/QP0dK4wBoWFhVi5ciU0Gg1KS0uh0WiQmprqNTO0rjAGN/bv5+Xled0ModTjYDQaYTQaoVAobL2cOp0OOTk5XjNTKPUYXH/9qqoqREZGorKy0qvuM3KVMRi6prf8vV/PVcbgesXFxSgsLJz0eDCUu7C8vDzo9XqkpKRAo9Hc8saBsrIy7Ny5c9ivUYZC21Rns4eCyNA/5iF6vX5K13UHrjIGwOA4VFdXY+XKlUhISEB2drZX3FTlSmNwPY1Gg5SUFLte05W5yjgMfd/RarW2H6xGoxHx8fGor6/36HDiKmMwRKlU2n5DoVKpsHLlSuh0Ortc21W52hjs2rUL2dnZdrmWu3C1MQAGW+rKy8uRmpo6tcA/9TZ3cgaVSiVmZ2eP+FhbW9uoN5qpVCqxuLh4yq+/efPmYTfy6HQ6UaVSiWq1esrXdhdSj0FbW5uYnZ0tVldXi9nZ2SIAr/r7F0Xpx+B63vZ3fz0px2HoRqobb+pUq9VedbOhK30tDFEoFF51s63UY1BdXT3s5n+lUul1N3pKPQY3vl52dvaUvg9xptwD7Nq1a9Tl2DIzM1FcXGx7J63RaMY9u3r9O8vCwkJs27YN27Zts73WSMvCeStnjEF6ejpKS0uhUChQXFyMnJwcrF692itbKEbijDEYotVqbUtT0nCOHoeh7zk3tqp4UzvdWJz5tXC9ofuM2N/vnDGoqqryulnyiXD218HQz2ZBEBAVFTWpGXOGcg9QWlo6ajhWKpXQarW2Hky1Wj3p9TNv/Ac20s1W3srRY6DVam/65qJSqVBaWnrTzZ/eyllfBwCwc+dOr+lfnihHjwPX5R+bM74WIiIiUFFRwfEYhaPHYNu2bWhtbcW2bdtsxwwGA4qLi4e1dnkzZ3wd5OTkIC8vb9jPg6E3p5MZA66+4gGqqqpGDQhDx6fa/z30j3eI0WiEXq/nu/SrHD0Go/XJJicnMxxe5YyvgyFarZa/JRqFM8ZBpVLddA2j0ciAeJUzxmCk7z16vR4rV66c0nU9haPHYPPmzSgsLMTmzZttf4xGI3JychjIr3L0GGi1WpSUlNx0DYPBMOl7WxjKPcDQO71bmeo34KysLOzatcv2cV5eHnbs2DGla3oSR4/B0I55N16jpKQE+fn5k76uJ3HG18H11/HkGwqnwhnjUFhYOOxXzUNfG/xaGOSMMbjxDVBZWRmUSiUnaq5y5vcjGpmjx0ClUmHz5s3DZtg1Gg2MRuOkW0rZvuLhhv5BTrX/tbCwEFqt1vYrs/T0dG7lO072GoPS0lIUFBQgKioKANDa2orMzEzODo6Dvcbg+ut508or9mKvcRj63pOXl4eoqCjodDqUl5fzjdI42PNnwlDrRGtrK4xGI6qrq6danlew9/ejoWVygWs/qzlbfmv2GoP8/PxhLUSVlZWorq6e9G+wGcppXKbag0tTN9ZarOQ8DB/S4/ck6TH4uYahrwVvWCLX1SgUCrt+HbB9xcMN9YGz/1U6HAPpcQxcA8dBehwD6XEMpOeqY8BQTkREREQkMYZyDzB0E+BIhvqluEKHY3EMpMcxcA0cB+lxDKTHMZCeO44BQ7kHUKlUw5YrvN7QP0jeDOhYHAPpcQxcA8dBehwD6XEMpOeOY8BQ7gFSU1NHfTeo0+l4M5QTcAykxzFwDRwH6XEMpMcxkJ47jgFDuQfIyMiAwWAY8R9fWVkZcnJyJKjKu3AMpMcxcA0cB+lxDKTHMZCeO44BQ7mbMBqNo66nqVAosGPHjpu2Wx/azCEtLc0ZJXo8joH0OAaugeMgPY6B9DgG0vO0MRBEURSlLoJGtm3bNlRWVkKv10Or1QIYXI9UoVAgMzPzpn9QGo0G5eXlSEhIsPVRcR3ZqeEYSI9j4Bo4DtLjGEiPYyA9Tx4DhnIiIiIiIomxfYWIiIiISGIM5UREREREEmMoJyIiIiKSGEM5EREREZHEGMqJiIiIiCTGUE5EREREJDGGciIiIiIiiTGUExERERFJjKGciIiIiEhiDOVEROSStm3bBkEQbH9WrlwpdUl2lZeXN+zzS01NlbokIpIQQzkREbkstVoNnU4HnU6H0tJSqcuxq/z8fNvntnnzZqnLISKJMZQTETmQVqtFRETEsBnRhISESV8vPT192LUiIiJQUlJix4pdi0KhgFKptP25ldTU1GF/N0N/JmuksRMEATk5OZO+5vWu/9ym8m+CiDwDQzkRkQOpVCr8//bu76htpwvj+MPMe50R4T4zsTsQUAFyB9iuALsDNFSgkTsQVGCsDqRUAN5JA2wqQOykAd4LRvr5P5YnthL4fq5iZqUIcXN0/Ojsy8uLXl9f5fu+fN+XtVZ5ntc+l3NOzjlJbwXdy8uLXl5eNBgM/vBV/5uyLNPr66um0+lcAW+M2el8URRV93swGFR/xyRJ/sTlAsAcinIAOJCzs7Oqy7pLYXd/f18d32q15Hnen7y8D6MoCl1eXlb3x1pb+xyj0Wgu4x2GIfcbwF5RlAPAAfV6PUlSmqa1j316eno3woG3jnmn06nuVd2i3Fqr5+fnuW8luO8A9o2iHAAOrIyb1CnMrbXkjreU57mCIKgK6aenp1rHx3GsOI6VZZmkt5dNAWDfKMoB4MC63a6kehGWNE3Jjte0S6c8TdPq71Pm/hlVCOAQKMoB4MCCIJDnecrzvIpIvOf5+Xm/F/VBlF1ySdU3C9sW5c45ZVmmIAjmXg6lUw7gECjKAaABZdd7m3GGxhi6tVsq8+RS/U55FEWK41jSf11y8uQADoWiHAAaUGcKy3g8plu7JWNMda9mi+n3vpEwxqjdblcTVsiTAzi0/zV9AQDwGbVaLfm+L2OMrLV76camaaqHhwdJb0VpURS6ubmR7/trj7HWKkkStdvtqpB9fn5Wv9+voiGzx9ddv29FUVT/nr2n1tqN1xFF0dyOoY+Pj5LIkwM4HIpyAGhIv9+XMUZJklSxiUVpmqrf79c+dxiG6nQ6c+c1xuji4kK9Xm9lhz5NU43H45Xb2YdhqNFopOl0uvP6fZvNk5c8z5NzbmNRPhqNdHNzU302xlQPGHTKARwK8RUAaMg2ufKHh4faneY0TXV+fr5UUPq+r7u7O93e3q78P6+urnR3d7fynHEcL3Xz667ft9k8eem9XHk5k3z2HpMnB9AEinIAaIjneQqCQM65qhCc5ZzTyclJ7fNmWaarq6uV57y8vJS0nGV3zlURl3XKY3dZfwizefLS2dmZpPWzysuZ5LPIkwNoAkU5ADRo0wuf9/f3O80mL4pCzrm5sX6zWq3WUue4fMGx2+2ufSmy3+9X6+quP4RVDwjlWMQyIz4rTdOVmXHy5ACaQKYcABpUdpNX7e759PS0U1F7d3enfr+/tlPted7KOEeSJBoOhzo+Ppbv+wqCQJ1Op+oYL8Zo6q7fp1VdcmlzfCXLsqWHIWtt7Ty5c0739/dVN77dbqvX6x30gQTAv4+iHAAaNhgMdHt7qzRNq0LaWlt1eevyPG/uPOUUlvfy1YPBQK1WS2EYyhgjY4xGo5Gkt4eHu7u7uUKz7vp9yvN8ZWe7/J0Xu/lhGCoMw5XnkbbPk5fn6Pf71bcaxhhFUSTnXK1dWwF8bsRXAKBh5bbuswVcmqY7RVdmj2+32xoOh/J9X5PJpMpPbyo2gyDQdDrVy8uLJpOJrq+v5fu+0jTV9+/flwr6uuv3JcuyKj8+a3EsovRWNJ+cnKy8D9vmyY0x6na7Gg6HiuN47lsB3/cVx7HCMFS3210bIwKAWRTlANCwIAjkeZ7yPJ+b9b2r4XBYFYzltvHvcc7NRWjKbnscx5pOp8qyTM65KgNfd/2+FUWxsis/+7OyKI+iSNfX1yvPU3bK38uTJ0miyWSy8QGn1WppMpkoSZJ3Ny8CAIpyAPgLzI5HNMbs/JJhnue6vb1VEARrC8/FAtEYo58/f26MWgRBoDiOq6K1KIpa6/fJGLOyS16aje0sziSftW2efF30ZZ2yaw4Am1CUA8BfYHYKy3g83nkcX7mRTxmJWWUxUmKt1e/fv98toMuOfqnu+n1ZlycvlUV5lmVLM8kXzyNtzpNba9dGX9bxPE/tdpsYC4CNKMoB4ECKolg717vVasn3/Xcz2Jvmgkv/jQBcF5dI03SpKC2KQl++fJGkjR1da+3Sw0Ld9fuQJMnGSS9lAZ3n+douufRfnnxT133XrP9gMNB4PK59HIDPg6IcAA4gTVOlaarhcLi2YC675f1+f+15ym7rpgkqnucpiqKlNXmey1pbFaZlJnw6nerbt2+S3or5Vbt9lhNFFnfwrLv+TypjPtZaxXG89r6WDyqbpsEYY6r7sam7v25MpTFGx8fHOjo6WtkR9zyPXDmAjRiJCAB7ZIzR6elp9TnPcx0fH+vy8rKKmpR6vd7aru/p6amcc1Wh7ZzT8fGxvn79qjiOqxGInufp169fiqJI3W5XZ2dnVRF5fn5e5cyTJFEURRqPx9WOltfX11UOvHxAmC1Ap9Pp3DXVXf+nLN5T6S2Lf3t7q8FgsJR1L2eoL85tt9ZW99XzvOra0zTV0dGRPM/Tjx8/tpq3PvuS7ng8PuiMdgAfw9Hr6+tr0xcBAMCi0Wikh4eHpYeXJg2Hw5UvuDrndHFxIUlrp7KsO1Z6e6iYTCZVhAbA50OnHACALZ2ensoYs9QJ9zxv4zcDq7r7ADCLTDkAAFsqI0Z1JUmiXq+3hysC8FFQlAMAsCXP89TpdOY2TnpPmqbqdDoHGQ8J4N9FUQ4AQA2Xl5fKsmyrjZGMMcqybOklUwBYRFEOAEBNSZLIWqswDFeOOnTOKQxDPT4+7hR3AfD58KInAAA7GAwGstYqiqKlwtzzPA2Hw1o7fwL43CjKAQB/rXJmuPQ2b3xfs8931Wq1qjnvdYVhqNFoVH0+xO6nAP5ezCkHAPyVnHMqimLuZx+p8/zRfz8A9VCUAwAAAA3jRU8AAACgYRTlAAAAQMMoygEAAICGUZQDAAAADaMoBwAAABpGUQ4AAAA0jKIcAAAAaBhFOQAAANCw/wNvjfHBjVdAwgAAAABJRU5ErkJggg==", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "plt.plot(ms_limited, gamma_of_ms_point, label=\"Point\")\n", - "plt.plot(ms_limited, gamma_of_ms_finite, label=\"Finite\")\n", - "\n", - "# plt.ylim(1e-24, 1e-21)\n", - "plt.xscale(\"log\")\n", - "plt.yscale(\"log\")\n", - "plt.xlabel(r\"Mass [$M_\\odot$]\")\n", - "plt.ylabel(r\"$\\Gamma(M)$ [events/star/hr]\")\n", - "plt.legend()\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 99, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "num_samples_ffp = 10000\n", - "bins_m = np.logspace(-9,-3,20)\n", - "samples_ffp_point_m = sample_crossing_times(ms_limited, gamma_of_ms_point, num_samples_ffp)\n", - "bin_counts_ffp_point_m, bin_edges_ffp_point_m = np.histogram(samples_ffp_point_m, bins=bins_m, density=False)\n", - "plt.bar(bin_edges_ffp_point_m[:-1], bin_counts_ffp_point_m/np.sum(bin_counts_ffp_point_m), width=np.diff(bin_edges_ffp_point_m), align=\"edge\", edgecolor=\"black\", label=r\"LensCalcPy Point\", alpha=0.5, color='blue')\n", - "\n", - "bin_counts_popsycle_m, bin_edges_popsycle_m = np.histogram(nick_ffp_masses, bins=bins_m, density=False)\n", - "plt.bar(bin_edges_popsycle_m[:-1], bin_counts_popsycle_m/np.sum(bin_counts_popsycle_m), width=np.diff(bin_edges_popsycle_m), align=\"edge\", edgecolor=\"black\", label=r\"Popsycle\", alpha=0.5,color='orange')\n", - "\n", - "plt.xscale('log')\n", - "plt.yscale('log')\n", - "plt.xlabel(r\"$M$ [M$_\\odot$]\")\n", - "plt.ylabel(\"Normalized Counts\")\n", - "\n", - "plt.ylim(1e-3, 5e-1)\n", - "plt.legend()\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 52, - "metadata": {}, - "outputs": [], - "source": [ - "pre_event_masses_ffps = pd.read_csv('popsycle_data/ffp_mass_1x.csv', header=None).values.flatten()\n", - "pre_event_masses_ffps_flat = pd.read_csv('popsycle_data/mass_p_0_20x.csv', header=None).values.flatten()\n" - ] - }, - { - "cell_type": "code", - "execution_count": 59, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "bins_m = np.logspace(-9,-3,20)\n", - "\n", - "bin_counts_popsycle_m_pre, bin_edges_popsycle_m_pre = np.histogram(pre_event_masses_ffps_flat, bins=bins_m, density=False)\n", - "plt.bar(bin_edges_popsycle_m_pre[:-1], bin_counts_popsycle_m_pre/np.sum(bin_counts_popsycle_m_pre), width=np.diff(bin_edges_popsycle_m_pre), align=\"edge\", edgecolor=\"black\", label=r\"pre-cut\", alpha=0.5,color='gray')\n", - "\n", - "plt.ylim(1e-2, 1e-1)\n", - "\n", - "plt.xscale('log')\n", - "plt.yscale('log')\n", - "plt.xlabel(r\"$M$ [M$_\\odot$]\")\n", - "plt.ylabel(\"Normalized Counts\")\n", - "plt.legend()\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 104, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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goPLnlJ1/9gCc1Nv1rM6+4F51kcco1QcAteru7j72ofXJmxLRXG0ZqCORiCzLkt/vVyaTOfBPFqlUSvPz81V/WshkMlXbbwIAALS7neuio9GoLMvSxMSEx706GdoyUO+cjZ6fn9/3PNu2NT4+rps3b1YdDwQCVfvKAwAAtLta1kWjOdoyUNdqYWGhcnfpk8bGxhSPxyuBeudvdYd5ciE9AAAATq5jHaiTyeS+BcDLhcdt266Uc+G3OgAAANTrWG/ssrS0tG/NwvJxyt0BAACgEcc6UJdnnw/iVKBuxQLxAAAAaL5jveTjIOWg3WhZGcuylEqlKhVDRkZG5Pf7NTExcWiYl6RCoVD1+NSpUzp16lRDfQIAAED9NjY2tLGxUXn8ZE7bz4kN1E4xTVNTU1NHrmv94osvVj3+9re/re985zsO9AwAAAD1mJmZ0Xe/+926X3diA3V5icZ+Ny265ZNPPlFXV1flMbPTAAAA3pientabb75ZeVwoFHZNfu7lxAbqVtHV1VUVqAEAAOCNoy69PdY3JZqmue9Nh+W10/tVAQEAAABqcaxnqH0+377VN8pB2+fzudgjHHfb2490zy7q9t0HrrV55/6aPt/YdK09AABQ7VgH6mAwWLVN+U65XK4lNnLx+/3q7OzU5OSkJicnve4OGrD++YYKn23qB5lb+lH2vmvtFj/f0o3bGyoUCjp79qxr7QIAcFzFYjHFYjFtb2/XdP6xDtSjo6OKRCKyLGvX0o5UKrVv2HbT4uIia6iPic3Nh/rC08/o/ODv6ivmb7jW7qd3VvXzT69rfX3dtTYBADjOyhOdhUJB3d3dh57f9oHatu19a0kbhqG5uTlFIhElk8nK8VQqJdM0FQqF3OomTpCu555VX88Z19pbK2651hYAANitLQP17OysFhcXZVlW5SsYDMowDI2NjVUF5VAoJMMwFIlENDAwUFlTXd6IBQAAAGhEWwbqejdRCQQCLbFeGgAAAMfPsS6b1w78fr8GBwcVi8W87goAAAD0+KbEwcFB+f3+ms5vyxnq44SbEgEAAFpLvTclMkMNAAAANIBADQAAADSAQA0AAAA0gEDtMW5KBAAAaC3clNhmuCkRAACgtXBTIgAAAOAiAjUAAADQAAI1AAAA0AACNQAAANAAAjUAAADQAAK1xyibBwAA0Foom9dmKJsHAADQWuotm0egBo6Bhw+3dffuXd2+fdu1Nk+fPl3TDxkAAI47AjXQ5orrG7pzb0Xvvvuuent7XWv3+eef16VLlwjVAIATj0ANtLnNrYfq7OzU+fPnde7cOVfatG1bH330kYrFIoEaAHDiEaiBY6Krq0t9fX1edwMAgBOHKh8AAABAA5ihBo6BUqmkYrGoBw8euNLe2tqaNjc3XWnrSaurqyoWi663y02YAID9EKg95vf71dnZWSnPAtRrc+uhNjY2deNvruvB/U9cafPB2mf66U8+VqFQ0NmzZ11pU3ocpv/Nn/+Ztj6751qbZU8/90X98Zt/SqgGgBMgFospFotpe3u7pvMJ1B6jDjUatb39SB0dJfX/+lP6ysBpV9r89M6Glpc3tL6+7kp7ZcViUVuf3dMrf/CsXuhx571K0t2Vot7/8T1uwgSAE4I61MAJ9WvPPK0zzz3jSlvPnnralXb280LPaZ194YzLrbr7ywMAoH1wUyIAAADQAAI1AAAA0AACNQAAANAAAjUAAADQAEcD9fXr16u+bt26VXnu1q1b+vrXv67Ozk719fVpbGxMhULByeYBAAAA1zkaqNPptIaGhjQyMqL5+XnZti3pce1Yn8+ndDqty5cvK5PJaGRkRBcvXnSyeQAAAMB1jpbNCwQCunTpki5fvlx1fHx8XKurq8pkMnr55ZclSRcuXJBpmpqentbMzIyT3WgrbOwCAADQWjzd2GVhYWFXmJakVCqloaGhSpgu8/l8WlhYcLILbYeNXQAAAFpLvRu7OLrko7e3d9exq1evSno8e72Xjo4OJ7sAAAAAuKrpVT7S6bQ6Ojrk9/v3fL68zhoAAABoR44G6p6enl3HMpmMpP1nqEulkpNdAAAAAFzlaKC+ceNG1ePV1VVls1n5fL491wm/8847GhkZcbILAAAAgKscvSkxHA5rbGxM77zzju7fv6+RkRF1dHQoGo3uOnd6elq2beu1115zsgsAXPLw4bbu3r2r27dvu9bmnTt39PnGpmvtAQBQC0cDdX9/v0ZGRvTbv/3blbXR8Xi8Ut3jvffeUzwe19WrVytLPQzDONFl84B2VFzf0J17K3r33Xf3vBm5ae0Wi7rx05+rEOjV2RfOuNYuAAAHcTRQS1IoFFIoFNLq6uquMiOBQEA+n8/pJgG4bHProTo7O3X+/HmdO3fOtXY//fRT/fwnWa1vbLnWJgAAh3E8UJftVbOvu7u7plp+ANpDV1eX+vr6XGtvbW3NtbYAAKhV0wL1Xm7duiXpcb1qNjMBAADAceBooH7jjTf0/e9/f9/n0+m0pMe1p3O5nM6dO6c/+ZM/cbILAAAAgKscDdTlmtP7GR8fr3r84Ycf6u233z7Rodrv96uzs7OyxSXQLkqlkorFoh48eOBam8ViUduPtl1rDwBwMsViMcViMW1v1/ZvjqOBut5NWi5cuKBEIuFkF9rO4uIiy1/Qdja3HmpjY1M3/ua6Htz/xLV283lbq/aKNrYonQcAaJ7yRGehUKjp/j9HA3VHR0fdr7Esy8kuAHDB9vYjdXSU1P/rT+krA6dda/cXv1yTStt6uPXQtTYBADiMo4E6n8/XdF6hUJBlWYpEIk42D8Blv/bM0zrz3DOutffsKVfvowYAoCZH+tdpdHRUlmXJsiytrq5WPdfZ2VnzdUzTrNyoCAAAALSjIwXqhYWFyn9nMhlFo1FdvXpVHR0dunjxYk3XCAaDmpiYoC41AAAA2lrDfz8NBAIKBAIKh8O6du2aPvjgAyf6BQAAALSFp5y6UDwer7vKBwAAANDuHAvUkrjJEAAAACeOo4H6yY1bAAAAgOPO0UB9FF/+8pe97gIAAABwZJ4H6vv373vdBQAAAODIHN8loVAoKJFIKJ1OH7rRy151rAEAAIB24migXl1dVX9/v2zbrvk1R9muHAAAAGgVjgbq8fFxDQ8PKxqN6sKFC4eeb9u2BgYGnOwCgGNue/uR7tlF3b77wLU279xf0+cbm661BwBoL44GasuytLS0VPP5hmGop6fHyS4AOMbWP99Q4bNN/SBzSz/Kunf/RfHzLd24vaFCoaCzZ8+61i4AoD04GqiHh4frfk0ymXSyCwCOsc3Nh/rC08/o/ODv6ivmb7jW7qd3VvXzT69rfX3dtTYBAO3D0UB9lNnmWpaGAMBOXc89q76eM661t1bccq0tAED7cTRQ9/b26tatW3rppZdqfs21a9f08ssvO9mNtuL3+9XZ2anJyUlNTk563R0A0OrqqorFouvtnj59Wt3d3a63CwBPisViisVi2t7erul8RwP1pUuX9Prrr2t2dlZdXV01vSYcDusXv/iFk91oK4uLizWPFQA02+rqqv7Nn/+Ztj6753rbTz/3Rf3xm39KqAbgufJEZ6FQqOlnkuN1qK9cuaLp6WlJUjAYlGma6u3t3fPcXC53aK1qAIB7isWitj67p1f+4Fm90HPatXbvrhT1/o/vqVgsEqgBtB1HA/VTTz1VVVd6dnbWycsDAFzyQs9pnX3BvXXqj3HTJ4D25GigNk1TlmUpEAjIMIxDz8/lcrp+/bqTXQAAAABc5WigNgxDqVRKr7zySs2v6evrc7ILAAAAgKuecvJiw8PDMk2zrtf09/c72QUAAADAVY7OUF+5cqXu19SzsyIAAADQahydoQYAAABOGk8D9erqqvx+v5ddAAAAABriaaBeWlqSbdtedgEAAABoiKNrqOudbc5mszWV1wMAAABalaOBOpfL1TzjbBgGu2EBAACg7Tm65MM0TYXDYT169Gjfr5WVFS0sLGh0dFTZbFb37993sgsAAACAqxwN1L29vRoZGTnwnO7uboVCIV25ckXxeFyFQsHJLgAAAACucjRQx+NxvfzyyzWfPzMzo5mZGSe7AAAAALjK0TXUR9n1sFQqOdkFAGiKhw+3dffuXd2+fdu1Nk+fPs29JgDQBhwN1EexurrqdRcA4EDF9Q3dubeid999V729va61+/zzz+vSpUuEagBocZ4HasuyvO5Cw2ZnZyU9rnJiWZbi8bhM0/S4VwCcsrn1UJ2dnTp//rzOnTvnSpu2beujjz5SsVgkUANAi3M0UNdzg6FlWZqZmWn74BmJRDQ9PV2pp51KpTQwMKBcLtf27w1Ata6uLvX19XndDQBAi3E0UBuGoY6OjrrOv3nzppNdcF0mk1E4HK4E6lAoJMMwFI/HFY1Gve0cAAAAms7RQG2apizLUigUOvC83t5eDQ0NaXR0VF1dXU52wVW2bcuyLFmWVTUb3dvby5bqAAAAJ4TjM9SJREKvvfaak5fdl23bikQiMgzjwNngTCajdDqtgYGBStCdmppquH3DMLSysrLruGVZGhoaavj6AAAAaH2OBurh4WFX1g1HIhFZliW/369MJqNAILDvualUSvPz80omk5VjmUxGwWBQ6XTa8b4lEgmZpqmJiQnHrw0AAIDW42igvnLlipOX29fO2ej5+fl9z7NtW+Pj47vWaQcCAUUiESUSCUeDb3nGfHl52bFrAgAAoLU1vWxeoVCQZVnK5/MyTVMvvfRSs5usWFhYkGmalRsGdxobG1M8Hq8E6kwmo3g8XtN1d8527zQ+Pq6rV69S3QMAAOAEaVqgvn79usbHx5XNZquODwwMKBqN6p//83/erKYrksnkvpswmKapbDYr27ZlGIYCgcCBS0cOUy6f5/P5jnwNAAAAtJ+nmnHR119/XT6fT8vLy+ru7lZ/f7/6+/vV3d2tGzduKBQK6Rvf+EYzmq6ytLS072xx+bgTG8ukUikFg8GqMJ1IJBq+LgAAAFqf44F6enpaS0tLSqfTevTokfL5vG7cuKEbN24on89rZWVF3//+97W0tKRvfvObTjdfpTz7fJBGA3Umk9Hi4qJ6e3uVzWaVzWaVSqVqfn2hUKj62tjYaKg/AAAAOJqNjY1d2awWji75+PDDD5VOp7W0tLTvOd3d3ZqYmNDExIS+9rWv6fr16/q93/s9J7tRk3LQzufzR76GbdsaGRmRbduV7cfLaq0g8uKLL1Y9/va3v63vfOc7R+4TgOYolUoqFot68OCBK+2tra1pbW1Nd+7ccaW9sjt37mhza9PVNr20urqqYrHoertbW1t6+umnT0S7p0+fVnd3t6ttSt59b716v3DGzMyMvvvd79b9OkcDdSKR0NWrV2s+f2FhQeFw+MBKHa1svzrU9fjkk0+qNrc5depUo90C4LDNrYfa2NjUjb+5rgf3P3GlzZXVgv7qP/+lTuu+eg33/nF+sFaUdeMn+vwPeyWdca1dL6yururf/Pmfaeuze662+/nGpn7y05/rq+d/R888/cyxb/fp576oP37zT10NmV59byVv3i+cMz09rTfffLPyuFAo7Jr83IujgbpUKtX1AXIikB5VeYOX/W5adEtXV1db7xYJnATb24/U0VFS/68/pa8MnHalzV/8ck0dpU0F/4dODZ/vc6VNSfrYeqT/42829HBry7U2vVIsFrX12T298gfP6oUed76vkvSxdVd/85Gt/3XoC3rpN9383rrf7t2Vot7/8T0Vi0VXA6ZX31uv3i+cc+rUqSNNbjoaqHt6eup+DSXmALSLX3vmaZ15zp2ZvWdPPf7x3Nv1rM6+4N5M8Z37a6611Spe6DntyRh/0fDme+t2u9K6i21Vc/t7+5h37xfecfSmxPKsbz2aOUNtmua+Nx2W104T6AEAANAIRwN1qVTSL3/5y5rPv379+pFmtWvl8/n2DfnloO113Wi/36/BwUHFYjFP+wEAAIDHYrGYBgcH5ff7azrf0SUfU1NTCgQCymazOnPm4D+x3Lx5UxcvXmzqNt3BYLBqm/KdcrlcQxu5OGVxcZE11AAAAC1kcnJSk5OTKhQKNa2Hd3SG2jRNzczM6KWXXtK3vvUtXb9+vap+X6FQ0LVr1zQ2NqZz587p8uXLTd2KfHR0VPl8fs9lH6lUSuFwuGltAwAA4GRwfOvxUCikfD6v119/fd/Z4VKppGg0qvHx8Ybbs21731rShmFobm5OkUhEyWSycjyVSsk0TYVCoYbbB4Bm2d5+pHt2UbfvulP7WnpcpWDr4bZr7QHAceB4oJakiYkJjY6OVoLsznXMoVBI0WhU/f39R77+7OysFhcXZVlW5SsYDMowDI2NjVUF5VAoJMMwFIlENDAwUOlLrRuvAIAX1j/fUOGzTf0gc0s/yt53rd38alF/e2ddDz47OZu7AECjmhKopcezw/F4XPF4XNLjIutO1WScmpqq6/xAINAS66X34vf71dnZWVmrAwCStLn5UF94+hmdH/xdfcX8DdfavfG393T9Z7e1vvHQtTYBoNXEYjHFYjFtb9f2F7umBeonUeB8b9yUCOAgXc89q74e9+ro/rf8Z661BQCtqt6bEmsO1G+99ZZWV1f3fd4wDM3MzOw6/uGHHyoej2t4eFiBQKCpNyECAAAAbqs5UE9PT2tqakpzc3Pq6OhQqVSSYRgKBAIKBoMaHR3d83UXLlxQNBqVZVm6fPmyVlZWFI1GCdYAAAA4Fmoum9fd3a14PK7l5WWVSiVFIhHl83ktLCxofHz8wOnw7u5uXbhwQVeuXNHMzIwmJib0ox/9yJE3AAAAAHiprjXUq6ureuutt7S8vKwLFy4cqUHTNPXBBx9odHRUvb29+sf/+B8f6ToAAABAK6hrY5eJiQlNTU0dOUzvlEgk9NprrzV8nXbH1uMAAACtpWlbj1+9elX9/f26ePHikTu3k2EYGh0d1fvvv69XXnnFkWu2I6p8AAAAtJambT2eSCT0+uuvN9S5J4VCoUqdagAAAKAd1Ryos9ms45U5+vv7ZVmWo9cEAAAA3FTXGmoAAAAA1WoO1Pl8vikdaNZ1AQAAADfUHKj7+/t1/fp1Rxv/8MMP1d/f7+g12w1VPgAAAFpLvVU+ag7UgUDA8RsIE4mEgsGgo9dsN4uLi/r44481OTnpdVcAAACgx1U+Pv74Yy0uLtZ0fs2BenR0VIlEQr/85S+P3Lmdbt68qUQiobGxMUeuBwAAAHih5kDt8/n08ssva2RkxJGGR0dHFQgE9Hu/93uOXA8AAADwQl1bj8fjcZ07d06///u/r6tXr+rMmTN1N1goFPTyyy/rww8/VC6Xq/v1AAAAQCupq2yeaZpaWFjQ0tKS+vv79Rd/8Rd1NfbOO++ov79fH374oRYWFhyvaw0AAAC4ra4Zaunx7oZXrlzR66+/romJCU1NTWl0dFTBYFCmacowDPX29iqfz8u2bVmWpXQ6rYWFBdm2rVKppHg8rldffbUZ7wcA0KDt7Ue6Zxd1++4D19q8c39Nn29sutYeADip7kAtSRMTExoeHtbIyEjl5sJEInHga0qlkkzTVDKZ1IULF47UWQBAc61/vqHCZ5v6QeaWfpS971q7xc+3dOP2hgqFgs6ePetauwDghCMFaunxTYq5XK4SprPZ7IHnhsNhjY+PH7W5Y8vv96uzs1OTk5OUzgPguc3Nh/rC08/o/ODv6ivmb7jW7qd3VvXzT69rfX3dtTYBYD+xWEyxWEzb29s1nX/kQF02MTGhiYkJra6uamlpSZZlybZtGYYh0zQ1PDys7u7uRps5thYXF9XV1eV1NwCgStdzz6qvp/4bz49qrbjlWlsAcJjyRGehUKgpxzYcqMu6u7t18eJFXbx40alLAgAAAC2vriofAAAAAKoRqAEAAIAGEKgBAACABhCoAQAAgAYQqAEAAIAGEKgBAACABhCoPeb3+zU4OKhYLOZ1VwAAAKDHG7sMDg7K7/fXdL5jdahxNGzsAgAA0Frq3diFGWoAAACgAQRqAAAAoAEEagAAAKABBGoAAACgAZ4G6tXVVX3961/3sgsAAABAQzwN1JZlybIsL7sAAAAANKTmsnlvvPGG8vm8o41nMhlHrwcAAAC4reZAPT8/r9XVVZVKJUca7ujoUKlUUkdHhyPXAwAAALxQc6A2TVMDAwNKJBIHFriem5vT8vKyIpGIent79zxncXFRiURC3/jGN3Tx4sX6ew0AOHYePtzW3bt3dfv2bVfau3Pnjj7f2HSlLQDHW82Bure3V+Fw+MAwfevWLeVyOV25cuXAawUCAQUCAb3++usKBAK19xYAcCwV1zd0596K3n333X0nYxxvs1jUjZ/+XIVAr86+cMaVNgEcTzUH6mg0qoGBgQPPicfjunz5cs2NX7lyRW+//bb+5E/+pObXAACOn82th+rs7NT58+d17tw5V9r89NNP9fOfZLW+seVKewCOr5oD9YULFw495yizCk6tyW5Xfr9fnZ2dlT3jAeAk6+rqUl9fnyttra2tudIOgPYTi8UUi8W0vb1d0/k1B+paHKUEntOVQ9rN4uKiurq6vO4GAAAAfqU80VkoFA5c7lzmaB3qowRq6lADAACgnTkaqC9cuKC/+Iu/qPn8a9eunfglHwAAAGhvji75uHz5cuVmkj/6oz868Nxr164pHA4rnU472QUAAADAVY4Gaulx5Y6vfe1rikajevXVV+X3+2UYhiTJtm1ZlqX5+Xlls1klk0m99NJLTncBAAAAcI3jgToQCGhpaUkjIyOKRqO7dkIslUoyDEMffPABm7oAAACg7TkeqCXJ5/Mpl8tpdnZWmUymcuOhaZoKBoO6dOlSM5oFAAAAXNeUQF02NTWlqampZjYBAAAAeMrRKh87Xbt2TdPT0/r617+u999/v+q5t956S7du3WpW0wAAAIBrHJ+hvnXrlkZGRpTNZisl8YLBYNU509PTmpmZ0de+9jW9/PLLTncBAAAAcI3jM9SBQEArKyu6cuWKlpeXtbKysuuc7u5uXb58WR988AEz1QAAAGhrjs5Qv/XWWwoEArpy5UpN51++fFlvvPGGvv/97zvZDQAAAMA1js5Q27Zdc5guY6dEAAAAtDNHA/WTNaeb9RoAAACgVTStyketyjWqAQAAgHbkaKC+f/++fvnLX9Z8/vvvv6/+/n4nuwAAAAC4ytFAPTExoVAoVFOovnr1qsbHx/XWW2852YW24/f7NTg4qFgs5nVXAAAAICkWi2lwcFB+v7+m8x2t8hEIBJROp2WapiKRiAKBgIaHh3X//n0VCgVJ0tLSkuLxuFKplK5cuaKXXnrJyS60ncXFRXV1dXndDQAAAPzK5OSkJicnVSgU1N3dfej5jm/sEo1GJT0uiVf+b0manZ2t/HepVFI8Htf4+LjTzQMAAACucjxQS49DdTgcViQS0Ycfflh142EoFFI0GmXtNADAcw8fbuvuSlG37z5wrc27K0VtPdx2rT0AzdeUQC1JpmkqmUxWHq+urtY0ZQ4AgBuKxaLu3FvRu//hZ+rt/sS1dvOrRf3tnXU9+GzTtTYBNJejgbpQKOy7Hri7u1vXrl1Tb2+vDMNQb28va4cBAJ7Z3NxUZ2enzp//is799190rd0bf3tP1392W+sbD11rE0BzORqoe3p6NDs7q3/xL/7Fns+XSiUtLi5qeXlZCwsLWl1dVU9Pj+7du+dkNwAAqFnX88+qr+eMa+39t/xnrrUFwB2Ols0rlUqamprSH/7hH1aqeux08eJFjY+P68qVK8rn83rllVe0srLiZBcAAAAAVzleh/rSpUv64IMPZJqmfvSjHx14/tzcHOuqAQAA0NYcDdQ9PT26fPmyPvjgA21vbysQCOhb3/rWvucbhqHh4WEnuwAAAAC4ytFAXRYIBHTr1i29/PLLunz5sn7/939/390TTdNsRhcAAAAAVzQlUEuPq3qk02ldvnxZS0tLGhgY0A9/+MNd53V0dDSrCwAAAEDTORqobdvedWxqakpLS0s6c+aMQqGQvvnNbzrZJAAAAOApRwN1Pp/f87jP59OtW7f0yiuv6MqVK/qd3/mdyhKQUqnkZBcAAAAAVzkaqDOZjB482Hv71u7ubiWTSV25ckU3btzQwMCA3nnnHZZ8AAAAoK05GqhXVlY0MjKiW7du7XvOxMSEbty4od/+7d/WxMSE5ubmnOwCAAAA4CpHA/X4+Li6uro0MTGhsbExvfHGG3ueZ5qmcrmcxsfH9ejRIye7AAAAALjK0a3H4/F43ee//vrrTnYBAAAAcJWjgfooBgYGvO5CwxKJhKTHVU4WFxcVDocVCAQ87hUAAADc4HmgHhoa0i9+8Quvu3Fk4XBYIyMjlQCdyWQUDAa1srIiwzC87RwAAACaztFAXSgU6jo/l8vtW2qvXeTzeSWTyUqgLu/8uLS0xCw1AADACVB3oB4dHdV7772nRCKhP/qjP6p6zjCME1cGL5lMVj3OZrOSpOHhYS+6AwAAAJfVHaiXl5dVKpW0tLS0K1Cbpql8Pq9AIKDe3t4Dr5PP55XL5XT9+vV6u1Bh27YikYgMw1A0Gt33vEwmo3Q6rYGBgcpujlNTU0du9yDxeFzRaJTlHgAAACdE3YE6k8kolUppYmJi13OmaWp2dlavvPJKzdfr6+urtwuKRCKyLEt+v1+ZTObApRWpVErz8/NVM8nldc7pdLrutveTSCSUTqcVDAabFtYBAADQeuoO1P39/bp06dKezwWDwcoa4nquV6+ds9Hz8/P7nmfbtsbHx3Xz5s2q44FAQJFIRIlEYs9fDI5iYmJCo6OjikQiikQiB86YAwBOtu3tR7pnF3X77t67CzfD3ZWith5uu9YecJI4elPifkH7IEtLS052ocrCwoJM09xz+cXY2Jji8XglUGcymZrraD+5brrMMAzF43F1dHSor6+PmWoAwC7rn2+o8NmmfpC5pR9l77vWbn61qL+9s64Hn2261iZwUnheNu/atWt6+eWXm3LtZDK571pu0zSVzWZl27YMw1AgEDhSVY5wOKxIJFI1M2+aptLpNIEaALDL5uZDfeHpZ3R+8Hf1FfM3XGv3xt/e0/Wf3db6xkPX2gROCs8DdTgcblod6qWlJY2Oju75XDkAW5Yln893pOtns1klEgmNjIxUBep8Pn/kawIAToau555VX88Z19r7b/nPXGsLOGlqDtT11piuRbPrUJdnnw/SSKD2+XyampqqmtnOZDKybZs11AAAACdEzYH6uNWYLgftRgP99PS0ZmdnK48XFxe1vLxc882ZT/6icurUKZ06daqhPgEAAKB+Gxsb2tjYqDyudUK55kBtmqYsy1IoFJKkQ+tMH8aJOtStwDCMhtZKv/jii1WPv/3tb+s73/lOg70CAABAvWZmZvTd73637tfVNUOdSCT02muv1d3IQY5Sh9oJ5Q1eGv3FoFGffPKJurq6Ko+ZnQYAAPDG9PS03nzzzcrjQqGwa/JzLzUH6uHh4aZsp32UOtTHSVdXV1WgBgAAgDeOuvS25kB95cqVui++l1u3blVuFnzppZeaWoe6vExlL+W10/VuRAMAAADs5HrZvJWVFVmWpXw+r2w2q0gkopdeeqkpbfl8vsrSjieVg7bX5e38fr86Ozs1OTmpyclJT/sCADje3N6h8c79NX2+wUYyaD+xWEyxWEzb27XtLup6oL5w4YIuXLhQeTw2Nnbg9uGNCAaD+5avy+VyR9rIxWmLi4ss+QAANJ0XOzQWP9/SjdsbKhQKOnv2rCttAk4oT3QWCgV1d3cfer6nG7u8//77+y7JcMLo6KgikYgsy9q1tCOVSlErGgBwYnixQ+Ond1b180+va3193ZX2AK80JVC/8847isfjsixr3yUXZfF4vKG2bNvet5a0YRiam5tTJBJRMpmsHE+lUjJNs1ICEACAk8LNHRrXiluutAN4zfFA/cYbb1RCsmma6u/vr5ohtm27sjvht771Lb3yyit1tzE7O6vFxUVZllX5CgaDMgxDY2NjVUE5FArJMAxFIhENDAxUAn46nW78zQIAAODEczRQf/jhh5qfn1cymdSrr75aOf7WW2/p8uXLVee+9957R17uUe9GKoFAoCXWS++FmxIBAABai6c3JV6+fFlXr16tuulQ0p5blr/66qu6evWq3n///SPNUh8X3JQIAADQWuq9KfEpJxvv6enZFaYl7TsTffHiRS0uLjrZBQAAAMBVjgfqvQwPD+vatWtONgUAAAC0BEcDdalU2vN4KBTat0TdYVVAAAAAgFbmaKD2+/2Vmehr167p7bffliT19/crl8vpX/2rf1V1/s2bN5u69TgAAADQbI7elPjqq6/qrbfekm3beu2117S6uirTNPXKK6/o8uXLGh0dVTqdVigUkm3bmpmZ0cTEhJNdaDtU+QAAAGgtnm89fvnyZb333nsaHR1VPp+vlKsLhUIaHx/X3Nyc0um0SqWSDMPQ9PS0011oK1T5AAAAaC0tsfX4q6++WlWHuiwej2tkZESpVEoDAwOamJggTAIAAKCtNSVQH6SVN1kBAAAA6uXoTYkAAADASeN5oH7jjTe87gIAAABwZJ4H6oWFBa+74Cm/36/BwUHFYjGvuwIAAAA9rvIxODgov99f0/lNWUN969YtZTKZQzdtyeVyJ35jF6p8AAAAtBbPq3yMjY0plUrtu2vikzo6OpzuAgAAAOAaRwP1W2+9pXQ6rUuXLlWmyA3D2PNc27aVy+VOfB1qAAAAtDdHA3Umk9HNmzdrmhovSyQSTnYBAAAAcJWjNyWapllXmJakcDjsZBcAAAAAVzkaqAcGBup+zaVLl5zsAgAAAOAqRwN1rTciAgAAAMeFo4E6HA7XfZPhl7/8ZSe70HaoQw0AANBa6q1D7Wig7u/v1+joqN544w399V//dU2vuX//vpNdaDuLi4v6+OOPNTk56XVXAAAAoMd1qD/++GMtLi7WdL7jdagHBgbU3d0tn88n6fGNivuVzrMsS6urq053AQAAAHCNo4H65s2bGh4e1srKSuVYLpc78DVs7AIAAIB25migjkQiGhoaUjQa1YULFw4937btI1UGAQAA7eHhw23dvXtXt2/fdq3NO3fu6PONTdfaAxwN1JZlaWlpqebzDcNQT0+Pk10AAAAtori+oTv3VvTuu++qt7fXvXaLRd346c9VCPTq7AtnXGsXJ5ejgXp4eLju1ySTSSe7AAAAWsTm1kN1dnbq/PnzOnfunGvtfvrpp/r5T7Ja39hyrU2cbI4G6qPMNteyNAQAALSvrq4u9fX1udbe2tqaa20BksNl83p7e3Xr1q26XnPt2jUnuwAAAAC4ytFAfenSJV2+fFmFQqHm14TDYSe7AAAAALjK8TrUV65cqeyWGAwGZZrmvjci5HI55fN5p7vQVvx+vzo7OzU5OcnmLgAAAC0gFospFotpe3u7pvMdDdRPPfVUVV3p2dlZJy9/LC0uLqqrq8vrbgAAAOBXyhOdhUJB3d3dh57vaKA2TVOWZSkQCOy7O+JOuVxO169fd7ILAAAAgKscDdSGYSiVSumVV16p+TVu3vULAAAAOM3RmxKHh4dlmmZdr+nv73eyCwAAAICrHJ2hvnLlSt2vqWdnRQAAAKDVODpDDQAAAJw0js5Qv/feexodHVUkEtG//Jf/0slLAwAA1Ozhw23dXSnq9t0HrrV55/6aPt/YdK09tA5HA/X8/LxKpZJyuZyTlwUAAKhZsVjUnXsrevc//Ey93Z+41+7nW7pxe0OFQkFnz551rV14z/GyeSsrKzXV6wMAAGiGzc1NdXZ26vz5r+jcf/9F19r99M6qfv7pda2vr7vWJlqDo4Hatu26w/TY2Jjm5+ed7AYAAIC6nn9WfT1nXGtvrbjlWltoLY7elHj58mWNjY3V9ZpsNutkFwAAAABXORqoDcNQIpHQG2+8obffflvXr19XoVDY9/ybN28qn8872YW24/f7NTg4qFgs5nVXAAAAICkWi2lwcFB+v7+m8x1d8vHlL3+58t+JRMLJSx9bi4uL6urq8robAAAA+JXJyUlNTk6qUCjUtJzZ0UBdKpVkWZZ8Pp8uXrx46Pm5XE63bt1ysgsAAACAqxwN1OUlH6+99lrNr+nr63OyCwAAAICrHF1DbZqmhoeH63pNT0+Pk10AAAAAXOXoDPXCwkLdr7lx44aTXQAAAABc5Wig3kuhUJBlWcrn8zJNUy+99FKzmwQAAABc4+iSj52uX78uv9+vnp4eDQ0NKRgMamBgQL/zO7+jH/7wh81qFgAAAHBVUwL166+/Lp/Pp+XlZXV3d6u/v1/9/f3q7u7WjRs3FAqF9I1vfKMZTQMAAACucjxQT09Pa2lpSel0Wo8ePVI+n9eNGzd048YN5fN5rays6Pvf/76Wlpb0zW9+0+nmAQAAAFc5Gqg//PBDpdNpLS0t7VuHuru7WxMTE5WQff36dSe7AAAAALjK0UCdSCR09erVms9fWFjQzMyMk10AAAAAXOVooC6VSjVtz1hmGIZWVlac7AIAAADgKkcD9VE2aTFN08kuAAAAAK5yNFDbtl33a5ihBgAAQDtzfMnHL3/5y5rPv379OluPAwAAoK05ulPi1NSUAoGAstmszpw5c+C5N2/e1MWLF7W8vOxkFwAAAABXOTpDbZqmZmZm9NJLL+lb3/qWrl+/rkKhUHm+UCjo2rVrGhsb07lz53T58uUTvxW53+/X4OCgYrGY110BAACApFgspsHBQfn9/prOd3SGWpJCoZDy+bxef/11RaPRPc8plUqKRqMaHx93uvm2s7i4qK6uLq+7AQAAgF+ZnJzU5OSkCoVCTRXsmrL1+MTEhPL5vF577TV1d3erVCpVvl599VXlcjldunSpGU0DAAAArnJ8hrrMMAzF43HF43FJ0urqal01qgEAAIB20JQZ6r0QpgEAAHAc1Ryor1271sx+AAAAAG2p5kAdDAab2Q8AAACgLdUcqLu7u/XDH/6wmX0BAAAA2k5dNyWGQiEFAgEZhqHe3t66GiqVSpKkjo6OXc99//vfr+taAAAA8Nbq6qqKxaLr7Z4+fbrl7s2rK1C/+uqrikaj6u/vP1JjN2/e1MjIiD788EOVSiWZpqlEInGkawEAAMAbq6ur+t73vqe1tTXX237++ed16dKllgrVNQdq27b1zjvvHHkTkunpac3OzlZmqqPRKLWoAQAA2lCxWNTa2pq++tWvyjAM19q1bVsfffSRisViewbqUCh0pDB97do1hcNhWZalUqmkUCikubm5lhoEAAAA1M8wDPX19XndDc/VHKgXFhbquvCtW7cUDoeVyWQqyzvi8bguXrxYdycBAACAVtWUjV3efvttDQwMKJ1Oq1QqaXZ2Vjdu3CBMAwAA4NhxdOvxJ5d3BAIBxePxI9/ECAAAALQ6RwJ1oVDQ+Pi4UqkUyzsAAMCJ9fDhtu7evavbt2+71mYrlpE7aRoO1G+//bYikYikx7WmI5GIZmZmGu4YAABAOymub+jOvRW9++67de/X0YhWLCN30hw5ULO8AwAA4B9sbj1UZ2enzp8/r3PnzrnSZquWkTtp6g7UTy7vMAxDyWSS5R2/Mjs7K5/Pp0Ag4HVXAACAB7q6uigld8LUVeXj7bffVk9PTyVMRyIR5fP5hsL0G2+8ceTXthrLsirLXwAAAHAy1Byo/X6/IpGISqWSLl68qFwu1/Ba6dXV1WO19Xgmk5Fpml53AwAAAC6qOVAvLy/LMAylUil98MEHDa+VLi8dOS5SqZRGR0e97gYAAABcVtca6osXL+oHP/iB5ufnG254ZWVFmUxGHR0dR76GbduKRCIyDEPRaHTf8zKZjNLptAYGBmTbtiRpamrqyO3u1Q9Jru5lDwAAgNZQc6Du6Oioe/vxw6RSKY2NjdX9ukgkIsuy5Pf7lclkDrwBMJVKaX5+XslksnIsk8koGAwqnU4fqd9PWlhY0MTEhCPXAgAAQHupeclHM0qxhEIhlUqlul8XjUaVTCY1NTV14KywbdsaHx/X3Nxc1fFAIKB8Pu/I+u1sNktFDwAAgBOs5hnqnTO8TnJqlngvCwsLMk1zz9A9NjameDxemVnOZDKKx+M1XXfnWCwtLTE7DQAAcILVHKibVWe6mfWrk8nkvjsVmaapbDYr27ZlGIYCgUDdM82zs7O6f/++ZmdnK8fy+bzi8biy2ayj67QBAADQmhreeryVLS0t7Vt5o1zezrIs+Xy+I11/r8AciUQUDodZBgIAAHBC1LWxS7spzz4fxLIsdzoDAACAY+lYz1AfpBy08/m8I9fLZDKVtdXRaLTmJR+FQqHq8alTp3Tq1ClH+gQAAIDabWxsaGNjo/L4yZy2n2M9Q+2mQCCgeDyuUqmkdDpd8/rpF198Ud3d3ZWvRnefBAAAwNHMzMxU5bIXX3yxpted2Bnq8mYs+9206JZPPvlEXV1dlcfMTgMAAHhjenpab775ZuVxoVCoKVSf2EDdKrq6uqoCNQAAALxx1KW3x3rJh2ma+950WF47Xa72AQAAABzFsQ7UPp+vsrTjSeWgfdSSeU7x+/0aHBxULBbztB8AAAB4LBaLaXBwUH6/v6bzj/WSj2AwqGg0uudzuVyuJWpFLy4usuQDAACghUxOTmpyclKFQkHd3d2Hnn+sZ6hHR0eVz+f3XPaRSqUUDoc96BUAAACOk7YP1LZt71tL2jAMzc3NKRKJVB1PpVIyTVOhUMiNLgIAAOAYa8slH7Ozs1pcXJRlWZWvYDAowzA0NjZWFZRDoZAMw1AkEtHAwEBlTXU6nfao9wAAADhO2jJQ17ppSlkgEGiJ9dIAAAA4ftp+yUe7o8oHAABAa6HKR5uhygcAAGjExsaG7ty542qbd+7c0ebmpqttuqneKh8EagAAgDb12Wef6b/+1/+qf/tv/61Onz7tars/+9nP9E//6T91rc1WRqAGAABoU5ubmyqVSvpH/+gf6Td/8zdda/fWrVv6yU9+oq2tLdfabGUEagAAgDbX3d2tvr4+19pbWVlxra12wE2JHuOmRAAAgNbCTYlthpsSAQAAWgtbjwMAAAAuIlADAAAADSBQAwAAAA0gUAMAAAANIFADAAAADSBQe4yyeQAAAK2FsnlthrJ5AAAArYWyeQAAAICLCNQAAABAAwjUAAAAQAMI1AAAAEADCNQAAABAAwjUAAAAQAMI1B6jDjUAAEBroQ51m6EONQAAQGuhDjUAAADgIgI1AAAA0AACNQAAANAAAjUAAADQAAI1AAAA0AACNQAAANAAAjUAAADQAAK1x9jYBQAAoLWwsUubYWMXAACA1sLGLgAAAICLCNQAAABAAwjUAAAAQAMI1AAAAEADCNQAAABAAwjUAAAAQAMI1AAAAEADCNQAAABAAwjUAAAAQAMI1AAAAEADCNQe8/v9GhwcVCwW87orAAAAkBSLxTQ4OCi/31/T+V9ocn9wiMXFRXV1dXndDQAAAPzK5OSkJicnVSgU1N3dfej5zFADAAAADSBQAwAAAA0gUAMAAAANIFADAAAADSBQAwAAAA0gUAMAAAANIFADAAAADSBQAwAAAA0gUAMAAAANIFADAAAADSBQAwAAAA0gUAMAAAANIFADAAAADSBQAwAAAA0gUAMAAAANIFADAAAADSBQe8zv92twcFCxWMzrrgAAAEBSLBbT4OCg/H5/Ted/ocn9wSEWFxfV1dXldTcAAADwK5OTk5qcnFShUFB3d/eh5zNDDQAAADSAQA0AAAA0gEANAAAANIBADQAAADSAQA0AAAA0gEANAAAANIBADQAAADSAQA0AAAA0gEANAAAANIBADQAAADSAQA0AAAA0gEANAAAANIBADQAAADSAQA0AAAA0gEANAAAANIBADQAAADTgC153oN1ls1lFIhEFg0GZpinLspTL5RSPx73uGgAAAFxAoHaAZVmKRCIyTVOhUIgwDQAAcIIQqB2QTCbl8/m87gYAAAA8wBpqAAAAoAFtPUNt27YikYgMw1A0Gt33vEwmo3Q6rYGBAdm2LUmamppyrB+ZTEZLS0vq7e3V4uKipqenZRiGY9cHAABA62rLQB2JRGRZlvx+vzKZjAKBwL7nplIpzc/PK5lMVo5lMhkFg0Gl02lH+lNeOy1JPp9PQ0NDyuVyjlwbAAAAra0tl3xEo1Elk0lNTU0dOBNs27bGx8c1NzdXdTwQCCifzyuRSDTcF5/PVwnT0uNwnc/nlUqlGr62kzY3N3Xrb/9eWw+3ve7KibK59VD/V/L/0ebWQ6+7cqIw7t5g3L3BuHuDcffG1taWfvzjH2tjY8PrrlRpyxnqWi0sLMg0zT1D99jYmOLxuCYmJiQ9nrWutTrHztnuvZimqXQ6XRW0vba5ualf/t1tPSRQu2pra1v/93t/qZH/5Z/omaeP9f/dWgrj7g3G3RuMuzcYd29sbW3pr/7qr7S5uel1V6q05Qx1rZLJpHp7e/d8zjRNZbPZyprqQCCgZDJZ09dOPT09ymazjvc9FovV9Vytx9z0w//4X1y/Ri3nH3TOfs/Vc/w//ZePD+1DM52Ecd9rjJ14341we9xrPfco41548FnN53s+7j/8YcPX+Msf/3+1t+fAuP+/2Z/V9ZqWHHcnPu91fO9qOfewcxr9+e71mEvOfN6dHvdMJnOka9R63In37IZjHaiXlpZkmuaez5WPW5bVUBvDw8O72rAsS0NDQw1d9zgE6n//waLr16jl/IPO2e+5eo7/p//y00P70EwnYdz3GmMn3ncj3B73Ws89yrg/2CdQ73W+5+P+7/99w9f4yx//pPb2HBj3H2d/XtdrWnLcnfi81/G9q+Xcw85p9Oe712MuOfN5d3rcr127dqRr1HrciffshmP9Nwrbtg+ttmFZVkM1pJ98bSqVkmmalaUk+ymVSpKkTz/9VIVCoXL81KlTOnXqlLa3t6uO77TXc4cd++yzx/9Arn++qc+K7qw7evTokT7f2Hz8v0ds99GjR3W9rpY2D7rmfs/Vcrzc7qNHpcqx4nr1/zbDk++33jHby2HXOEqbToz7XmO817lOj3stn2Onx72Rz3Gt5+313OcbmyqVSnu2u9f5To375xub2t5+pPX19crPq1o8evSorvOr2vz8c21v7/15OrC9hse9tOf3tp6fP0cZ90Z/Hh/Wp/3a3O/7Ws/3rpZzd55T/t7u/DevkZ/vez3ea9yP+jmu1V7jsL6+rocPH9bcplPjXm73sOvt93ytx598vL6+LklaW1vbNyc1YmNjo2p99oMHDyT9Q27bT0fpsDNa3NDQkIaHh/dc/9zR0aGpqak9S+pZlqWBgYGqddRHNTs7K0m6f/++bNuuaS323/3d3+nFF19sqF0AAAA03yeffKLf+q3f2vf5Yz1D7Zaj1LT+0pe+pFwup6efflodHR2V4+UZagAAALjryRnqUqmkra0tfelLXzrwdSc2UJdvRtzvpsVme+qpp/Zd391qEomEcrmcBgYGlMvl2LjGJalUSvl8XpKUy+U0NjbGFvdNFA6HNTQ0JNM0d/1c2K9aEJwzOztbGWPbth3dfAu7ZbNZRSIRBYNBmaYpy7KUy+VqrnYFZ8zOzsrn8x24nwacUS6VbNu2FhcXFQ6HHR33ExuoUZtEIqF0Ol2pbpLNZnXx4kUtLy973LPjLZFIKBAIVP3SNTIyorm5OYJdkywtLe1Zm94wDN28edODHp0cwWBQ0Wi08gvjwMBA1YZZaA7LshSJRCpjTZh2V3n8ndpkDvsLh8MaGRmpBOjyBn8rKyuO/Zt6rKt8lH/r3kt55q9dZom9Eg6HFQ6HK499Pp9s2z60TA4ak0wmd302g8GglpaWPOrR8RcIBFQqlaq+lpeX+SWmyRKJhEzTrPrrSzQaJUy7IJlMqlQqKZfL7XmvEZork8mQQVySz+eryh6Xx93Jf1OPdaAuh7+9lIM2f0LfX7m+9pP/hy9vXIPmikQiVY+Xl5c1PDzsUW+Ov7GxsV3HMpkMwa7JyssOdmLMcdylUimNjo563Y0TI5lMVv0FppxvnPw39Vgv+Sj/GXEvuVyu5dcs2batSCQiwzAOnD3IZDJKp9MaGBio/ALRzPWHhmE0ZTObVtEK4x6NRjU0NKRMJqNkMln589RxnSlthTF/8pfrSCRy7GftvB5327Yr5U3Ly21yuZzC4fCxnrnzetx3Xn9paUm9vb1aXFw89vfHtMq4l695nMd6p1YZ953i8bii0aij34NjHahHR0cViURkWdauH86pVKpl/7Es99nv9yuTyRwY/FOplObn56v+lFEOX43OIpcDxpOz/I1uhtOqWmXcpcdjv7y8rKGhIQ0MDGhiYuJYrm9spTHfKZPJyO/3O3rNVtIq417+WZLNZiv/cNq2rf7+ft28efPYBY5WGfeynevUfT6fhoaGlMvlHLl2K2m1cV9YWGi4XG87aLVxl/7hvrBgMOh8WC+1OdM0S6FQaN/nk8nkrueTyWQpEAg0u2uO8Pl8pYmJiT2fW1lZKRmGUVpZWdnzdfF4vOH2p6amSlNTU5XHuVyu5PP52mb8jsrrcV9ZWSlNTEyUlpeXSxMTEyVJjHmTx3yn4z7WO3k57ul0uiSplEwmq44HAoGqnzvHUSt93ssMw9j1vThuvB735eXlUi6Xqzw2TbOUTqcbvm6r83rcn2xvYmLC8Z8xbTlDPTs7q8XFRVmWVfkq/zl8bGysav1dKBSSYRiKRCJVf0Y4DmuAFxYW9i3nNTY2VrVpTSaTqXmGc+dviNFoVLOzs5qdna20tVdZsZPEjXEfGRlRMpmUYRiKx+MKh8O6ePHiiViGsBc3xrwsm81Wblo+6Zo97uWfI0/+BfG4Lys7jJuf953K98ec1DXsboz70tLSiZidrofbn/fyv6sdHR3q6+tzbKa6LQN1vW8+EAi0/Hrpo0gmk/sGW9M0lc1mK+sTGxmDJ8d7r5uITpJmj3s2m931w8Xn8ymZTO66UfGkcOuzLknz8/PHev1uPZo97twUvjc3Pu89PT26evUq34Mdmj3us7Ozun//fmV3Zelx9Yl4PF617OmkcePzHg6HKyUid147nU47Nu7HusrHcbe0tLTvP/zl442udy5/kMts25ZlWSf6N+xmj/t+60aHh4dPbNBz47Nels1mT/RfYHZyY9x9Pt+ua9i2faKDnhvjvtfPE8uyNDQ01NB121mzx31qakrRaFRTU1OVL9u2FQ6HT2yYlpo/7tlsVolEYtc18vm8o/dpEKjbWPk3toM0+kN3fHxcCwsLlceRSERzc3MNXbPdNXvcy/XTn7xGIpHQ9PT0ka/bztz4rO+8znG7Ge6o3Bj3aDRa9Sfc8mf/pH7WJXfG/clfWFKplEzTPNGTJW7+nME/aPa4+3w+TU1NVc1sZzIZ2bbt6BLKtlzygcOVP5yNrgWNRqPKZrOVP1Xt3GkIuzk17slkUjMzM+rr65Mk3b9/n63H9+HUmO+83nGu8OEUp8a9/PMkEomor69PuVxO6XSaX2r24eTP9vLSg/v378u2bXbAPYDTP2fKJVGlf/h39iTPUu/HqXGfnp6uWmqzuLio5eVlR//qS6DGgY7r+vNWd1i9TjQPocJ9/JzxBgHOO+XP/HEsh9qKDMNo+uedJR/HVHndM2tB3cW4u48x9wbj7g3G3RuMuzfaadwJ1AAAAEADCNRtrHzz2l7K641OalWIZmLc3ceYe4Nx9wbj7g3G3RvHZdwJ1G3M5/Pt2ha8rPzh5CY25zHu7mPMvcG4e4Nx9wbj7o3jMu4E6jYWDAb3/a0ul8txk0+TMO7uY8y9wbh7g3H3BuPujeMy7gTqNjY6Oqp8Pr/nBzGVSikcDnvQq+OPcXcfY+4Nxt0bjLs3GHdvHJdxJ1C3ONu2962/aBiG5ubmdm1HXS7QHwqF3OjiscS4u48x9wbj7g3G3RuMuzdOwrh3lEqlktedQLXZ2VktLi7Ksixls1lJj2tWGoahsbGxXR+uTCajdDqtgYGByjok6ovWj3F3H2PuDcbdG4y7Nxh3b5y0cSdQAwAAAA1gyQcAAADQAAI1AAAA0AACNQAAANAAAjUAAADQAAI1AAAA0AACNQAAANAAAjUAAADQAAI1AAAA0AACNQAAANAAAjUAoC6zs7Pq6OiofA0NDXndpYZEIpGq9xMMBr3uEoA2Q6AGANQtEAgol8spl8spmUx63Z2GTE9PV97L1NSU190B0IYI1ADQQoLBYNVsafnrqLLZrHp6enZdLxwON9RPwzBkmmbla7+2BgYGjtzGyMhI1bV6enqUSCQa6vdedr6XRvoL4OQiUANAC0mn0yqVSlpeXq4EVelxWD2KmZkZ2bYtSZqYmNDKyopKpZLi8bgT3a3i8/kq1/f5fPL5fLIsS5lMpu5r2bZd6bdhGFpZWdHKyoomJiYc7jUANI5ADQAtKJ/PKxQKyTAMSZJlWXVfY3Z2tmo9cCQSqVyv2YaHhyuz4EcJ7wsLC5XXm6bpWr8B4CgI1ADQgtLptILBYGWWut5AbVmW7t+/XzXLu3PG2w2jo6OSpFQqVfdrc7mc6/0FgKMiUANAC8pkMgoEApVQmcvl6np9NBpVNBpVOp2W9PgmQi+Ul2jUE6oty2ItM4C2QqAGgBZ2lBnqVCqlkZERSaqsX/aqFFy5H/Us+0ilUqyVBtBWCNQA0GLKs9OSKjO1tQZq27aVTqcVCASqbmT0aoY6EAjIMAxlMpnK8pPD3L9/v7mdAgCHEagBoMWU109L9c9Qz8zMKBqNSvqH2Wkv1k/vVJ5trqXkXTabZWMVAG2HQA0ALSabzVZmlHcG4cNmeLPZrAYGBioVMbxeP11WT7WP+fl5z/sLAPUiUANAi8nn85X/3hmoD5ulnpmZqVp7vLS0JMm79dNlpmlWalIfpfwfALQ6AjUAtJCd66fLaqlFPTs7q+np6crjbDZbmdFuhRnfsbExSQfPUqdSqcp5ANBOCNQA0EJ2rp8uO2wddbnmtM/nqxxrlfXTZbWso15cXKx6DwDQLgjUANBCdq6fLhseHpa0fy3qcs3pnVpl/XSZYRgKBAKybXvPrcht21ZfX58HPQOAxhGoAaCF7Fw/XVYunVdeE71TKpXac410q6yf3umgmxMXFhaoPQ2gbX3B6w4AAB7ba3ZaOnjJRzqd3hVQLctqqfXTZaFQSNLeuybmcrnKWvFG2LathYWFymz+wMCARkdHHbk2AOyHQA0ALSKTyew5o1wO1E+WzYtEIopEInteR2qd9dM7TUxMKJFIKJVKVQK2U1uNl8dibGysMtudzWY1MzMj27br2q0RAOrBkg8AaBHpdLqyXnqnvUrnZbNZ9fX17RmYW2399E57bUXe6Fbj2WxWIyMjCofDikajVTc2+nw+RaNRRSIRjYyMVO0eCQBOIVADQIvI5/N7Lk3YeawcqGdmZjQ1NbXndcoz1K20frpsr63IG91qPB6PK5lMHjgbb5qmksmk4vF4zVugA0CtCNQA0AKy2eyes9NlO9dRP1lzeqdWXT+9084Seo1uNb7fspf9lGerAcBJBGoAaAH7rZ8uKwfqdDq9q+b0k9eRWnP9dNnOah+NbDVuWda+y172YxiGBgYGWPoBwFEEagBoAfF4/MBNTcqhMZPJ7Ds7Lf3D+umDZrvdkM/n9ywBKFVvRX7YNQ5y1LXXExMTmp+fr/t1ALAfAjUAeKi85MGyLEWj0X3X95arYMzNze1bAi6bzVZK0nlZJi6VSimVSikcDu/7fsqz1AdtNV6eRd4veO9Xai+bzaqnp0cdHR17zkQbhsE6agCOIlADgAey2aw6Ojo0NDRUWaaRSCTU09NTCZs7+Xw+BQKBSqm5MsuyKuHx4sWLMgxDhmEolUqpo6NDPT09ri1vKL+nciWPTCajnp6eyuOdRkdH5fP59pyVHxoa0sDAQGWts23b6unp0cDAwJ41rJ+084ZHZqIBuIE61ADgAZ/Pp1KpVPP5gUBg301fVlZWnOzakdXzngzD0PLy8p7P7Xe8VjuXdOz1ywkAOI1ADQBoS0NDQ8pms7tmuQ8K69LjmfShoaFmdw/ACcKSDwBAWxodHT3S7ofxeFyjo6NN6BGAk4pADQBoS4ZhKBgM1rSuuiyVSikYDHp60yaA44dADQBoW6FQSOl0unJj50Gy2azS6fSuGzsBoFEEagBAW4vH47IsS5FIZM9yeLZtKxKJaGlp6UhLRADgMNyUCABoexMTE7IsSzMzM7tCtWEYCofDLbtzJID2R6AGANStXOdaelwur9FSd04wTVPRaLTu10UiEc3OzlYeH3UrdAAnV0epnkKoAIATz7btXduCt/Ps73F7PwDcR6AGAAAAGsBNiQAAAEADCNQAAABAAwjUAAAAQAMI1AAAAEADCNQAAABAAwjUAAAAQAMI1AAAAEADCNQAAABAA/5/n4zFjsON1V4AAAAASUVORK5CYII=", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "bin_counts_popsycle_m, bin_edges_popsycle_m = np.histogram(nick_ffp_masses, bins=bins_m, density=False)\n", - "plt.bar(bin_edges_popsycle_m[:-1], bin_counts_popsycle_m/np.sum(bin_counts_popsycle_m), width=np.diff(bin_edges_popsycle_m), align=\"edge\", edgecolor=\"black\", label=r\"post-cut\", alpha=0.5,color='orange')\n", - "\n", - "bin_counts_popsycle_m_pre, bin_edges_popsycle_m_pre = np.histogram(pre_event_masses_ffps, bins=bins_m, density=False)\n", - "plt.bar(bin_edges_popsycle_m_pre[:-1], bin_counts_popsycle_m_pre/np.sum(bin_counts_popsycle_m_pre), width=np.diff(bin_edges_popsycle_m_pre), align=\"edge\", edgecolor=\"black\", label=r\"pre-cut\", alpha=0.5,color='gray')\n", - "\n", - "plt.ylim(1e-5, 5e-1)\n", - "\n", - "plt.xscale('log')\n", - "plt.yscale('log')\n", - "plt.xlabel(r\"$M$ [M$_\\odot$]\")\n", - "plt.ylabel(\"Normalized Counts\")\n", - "plt.legend()\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Scratchwork" - ] - }, - { - "cell_type": "code", - "execution_count": 213, - "metadata": {}, - "outputs": [], - "source": [ - "def calc_sph_motion(vx, vy, vz, r, b, l):\n", - " \"\"\"\n", - " Calculate velocities in the r directions and proper motions\n", - " in l, b directions.\n", - "\n", - " Parameters\n", - " ----------\n", - " vx, vy, vz : float or array\n", - " Heliocentric velocities vx, vy, and vz (in km/s)\n", - "\n", - " r, b, l : float or array\n", - " Galactic coordinates r, b, and l (in kpc and degrees)\n", - "\n", - " Return\n", - " ------\n", - " vr, mu_b, mu_lcosb : float or array (in km/s and mas/yr)\n", - " Radial velocity and proper motions\n", - "\n", - " \"\"\"\n", - " b = np.radians(b)\n", - " l = np.radians(l)\n", - "\n", - " cosb = np.cos(b)\n", - " sinb = np.sin(b)\n", - " cosl = np.cos(l)\n", - " sinl = np.sin(l)\n", - "\n", - " vr = vz * sinb + cosb * (vx * cosl + vy * sinl)\n", - " vb = vz * cosb - sinb * (vx * cosl + vy * sinl)\n", - " vl = vy * cosl - vx * sinl\n", - "\n", - " mu_b = vb / r\n", - " mu_lcosb = vl / r\n", - "\n", - " ##########\n", - " # Convert between radians*(km/s)/kpc into mas/year.\n", - " # 1 kpc = 3.086 * 10^16 km, 1 year = 3.154 * 10^7 s, 2.063 * 10^8 mas = 1 rad\n", - " # 1 radian*(km/s)/kpc = 0.2108 mas/yr\n", - " #########\n", - " conversion_fact = 0.2108\n", - " mu_b = mu_b * conversion_fact\n", - " mu_lcosb = mu_lcosb * conversion_fact\n", - "\n", - " return vr, mu_b, mu_lcosb\n", - "\n", - "# Function to convert spherical velocities to Cartesian velocities\n", - "def sph_to_cartesian(v_sph, pos):\n", - " r_dot, b_dot, l_dot = v_sph\n", - " r, b, l = pos\n", - " l = np.radians(l)\n", - " b = np.radians(b)\n", - " vx = r_dot*np.cos(b)*np.cos(l) - r*b_dot*np.sin(b)*np.cos(l) - r*l_dot*np.cos(b)*np.sin(l)\n", - " vy = r_dot*np.cos(b)*np.sin(l) - r*b_dot*np.sin(b)*np.sin(l) + r*l_dot*np.cos(b)*np.cos(l)\n", - " vz = r_dot*np.sin(b) + r*b_dot*np.cos(b)\n", - " return [vx, vy, vz]" - ] - }, - { - "cell_type": "code", - "execution_count": 214, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Einstein time: 0.011923784044031301\n", - "Full transit time: 0.054253265261650085\n" - ] - } - ], - "source": [ - "starPos1 = [7.78257417678833, -0.018601227301875935, 0.016396739533508602]\n", - "starPos2 = [7.782573762098301, -0.018601124163779216, 0.016396434296014145]\n", - "pbhPos1 = [7.276314604254684, -0.018601284224945756, 0.01639681167636597]\n", - "pbhPos2 = [7.276313346359349, -0.018601393966005075, 0.01639677623181188]\n", - "\n", - "pbhMass = 3e-6\n", - "duration = 1825 * 24 * 3600 #in seconds\n", - "theta_E = 2.26363e-12 #in radians\n", - "full_transit_time = (0.23261582851409912 - 0.2325861006975174) *duration\n", - "kpc_to_km = 3.086e16 # kpc to km\n", - "mas_to_rad = 4.84814e-9 # mas to rad\n", - "day_to_s = 86400 # day to seconds\n", - "year_to_s = 31536000 # year to seconds\n", - "\n", - "starPos1[0] *= kpc_to_km\n", - "pbhPos1[0] *= kpc_to_km\n", - "starPos2[0] *= kpc_to_km\n", - "pbhPos2[0] *= kpc_to_km\n", - "\n", - "v_star_sph = [(starPos2[i] - starPos1[i])/duration for i in range(3)]\n", - "v_pbh_sph = [(pbhPos2[i] - pbhPos1[i])/duration for i in range(3)]\n", - "\n", - "# Convert the spherical velocities to Cartesian velocities\n", - "v_star = sph_to_cartesian(v_star_sph, starPos1)\n", - "v_pbh = sph_to_cartesian(v_pbh_sph, pbhPos1)\n", - "\n", - "starPos1[0] /= kpc_to_km \n", - "pbhPos1[0] /= kpc_to_km \n", - "starPos2[0] /= kpc_to_km \n", - "pbhPos2[0] /= kpc_to_km \n", - "\n", - "# # Calculate the radial velocity and proper motions using the function\n", - "vr_star, mu_b_star, mu_lcosb_star = calc_sph_motion(v_star[0], v_star[1], v_star[2], starPos1[0], np.degrees(starPos1[1]), np.degrees(starPos1[2]))\n", - "vr_pbh, mu_b_pbh, mu_lcosb_pbh = calc_sph_motion(v_pbh[0], v_pbh[1], v_pbh[2], pbhPos1[0], np.degrees(pbhPos1[1]), np.degrees(pbhPos1[2]))\n", - "\n", - "mu_b_star *= mas_to_rad / year_to_s\n", - "mu_b_pbh *= mas_to_rad / year_to_s\n", - "mu_lcosb_star *= mas_to_rad / year_to_s\n", - "mu_lcosb_pbh *= mas_to_rad / year_to_s\n", - "\n", - "# Calculate the relative proper motions\n", - "mu_b_rel = mu_b_star - mu_b_pbh\n", - "mu_lcosb_rel = mu_lcosb_star - mu_lcosb_pbh\n", - "\n", - "# Calculate the total relative proper motion and the Einstein time\n", - "v_rel = np.sqrt(mu_b_rel**2 + mu_lcosb_rel**2)\n", - "t_E = theta_E / v_rel\n", - "\n", - "print(\"Einstein time:\", t_E / day_to_s)\n", - "print(\"Full transit time:\", full_transit_time / day_to_s)" - ] - }, - { - "cell_type": "code", - "execution_count": 215, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "2.279924455200288e-12" - ] - }, - "execution_count": 215, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "einstein_rad(7.276, 3e-6, 7.78257)/7.276" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] } ], "metadata": { diff --git a/examples/roman_figures.ipynb b/examples/roman_figures.ipynb deleted file mode 100644 index 974f17d..0000000 --- a/examples/roman_figures.ipynb +++ /dev/null @@ -1,2312 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "metadata": {}, - "outputs": [], - "source": [ - "from LensCalcPy.survey import *\n", - "from LensCalcPy.ffp import *\n", - "from LensCalcPy.utils import *\n", - "import numpy as np\n", - "import matplotlib.pyplot as plt\n", - "import pandas as pd\n", - "from scipy.interpolate import interp1d, interp2d\n", - "from scipy.interpolate import RegularGridInterpolator\n", - "\n", - "from scipy.integrate import quad, nquad\n", - "from scipy import stats\n", - "\n", - "from tqdm import tqdm\n", - "from pathos.multiprocessing import ProcessingPool as Pool\n", - "import functools\n", - "from scipy.stats import poisson\n", - "import seaborn as sns\n", - "import pickle\n", - "sns.set_palette(\"colorblind\")\n", - "\n", - "%load_ext autoreload\n", - "%autoreload 2" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "bh kick speed = 100\n", - "3e-7 pbh mass\n", - "f = 1e-4\n", - "long = 1.0\n", - "lat = -1.03\n", - "distribution of t_es\n", - "cadence =\n", - "tobs = 1875" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": {}, - "outputs": [], - "source": [ - "plt.style.use(\"style.mplstyle\")\n", - "sns.set_palette(\"colorblind\")" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [], - "source": [ - "roman_df = pd.read_csv('roman_sensitivity.csv', header=None, names=['t_e [days]', 'efficiency'])\n", - "roman_efficiency_interp = interp1d(roman_df['t_e [days]'], roman_df['efficiency'])\n", - "def roman_efficiency(t):\n", - " '''\n", - " Takes in crossing time in hours and returns the efficiency of Roman\n", - " '''\n", - " t_day = t/24\n", - " if t_day <= np.min(roman_df['t_e [days]']):\n", - " return roman_df['efficiency'][0]\n", - " if t_day >= np.max(roman_df['t_e [days]']):\n", - " return roman_df['efficiency'][len(roman_df)-1]\n", - " return(roman_efficiency_interp(t_day))" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [], - "source": [ - "# def roman_efficiency(t):\n", - "# '''\n", - "# Takes in crossing time in hours and returns the efficiency of Roman\n", - "# #Need to replace this eventually. Assume perfect efficiency for now\n", - "# '''\n", - "# return 1.0\n" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [], - "source": [ - "#A_t of 1.06 corresponds to u_t_point of ~2, which is what popsycle uses as u_0_max\n", - "survey_param_dict = {\n", - " \"mock_roman\": {\"l\": 1.0, \"b\": -1.03, \"source_dist\": 8.5, \"obs_time\": 1825*24, \"cadence\": 15/60, \"n_sources\": 1e7, \"efficiency\": roman_efficiency, \"A_t\": 1.06, \"survey_area\":0},\n", - " # \"mock_roman\": {\"l\": 1.0, \"b\": -1.03, \"source_dist\": 8.5, \"obs_time\": 1825*24, \"cadence\": 15/60, \"n_sources\": 1e7, \"efficiency\": roman_efficiency, \"A_t\": 1.34, \"survey_area\":0},\n", - "\n", - "}" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [], - "source": [ - "def scientific_format(x):\n", - " s = \"%.1e\" % x\n", - " mantissa, exponent = s.split(\"e\")\n", - " return r\"${} \\times 10^{{{}}}$\".format(mantissa, int(exponent))\n", - "\n", - "def scientific_format_less(x):\n", - " s = \"%.1e\" % x\n", - " mantissa, exponent = s.split(\"e\")\n", - " return r\"$10^{{{}}}$\".format(int(exponent))" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": {}, - "outputs": [], - "source": [ - "# Define Time Array\n", - "s = Survey(**survey_param_dict[\"mock_roman\"])\n", - "# t_es = np.logspace(np.log10(s.cadence)-0.5, np.log10(s.obs_time)+0.5, 60) #hours\n", - "\n", - "def gamma_of_t(dgamma_dt, t, t_es):\n", - " t_min = t * 10**(-0.1)\n", - " t_max = t * 10**(0.1)\n", - " diff_rates_interp_log = interp1d(np.log10(t_es), np.log10(dgamma_dt))\n", - " def diff_rates_interp(t):\n", - " return 10**diff_rates_interp_log(np.log10(t))\n", - " return quad(diff_rates_interp, t_min, t_max)[0]\n", - "\n", - "def sample_crossing_times(t_es, gammas, n_samples):\n", - " norm_gammas = gammas/np.sum(gammas)\n", - " cdf = np.cumsum(norm_gammas)\n", - " \n", - " samples = []\n", - " for _ in range(n_samples):\n", - " r = np.random.rand()\n", - " t_e_sample = np.interp(r, cdf, t_es)\n", - " samples.append(t_e_sample)\n", - " return np.array(samples)" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "Survey(l=1.0, b=-1.03, source_dist=8.5, obs_time=43800, cadence = 0.25, survey_area=0, n_sources=10000000.0, efficiency=)" - ] - }, - "execution_count": 8, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "s" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Line of Sight" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": {}, - "outputs": [], - "source": [ - "def plot_line_of_sight(s, ax):\n", - " d_arr = np.linspace(1, s.source_dist, num=1000)\n", - "\n", - " rho_ffp_mw = [s.mw_model.density_stars(d, l = s.l, b = s.b) for d in d_arr]\n", - " rho_dm_mw = [s.mw_model.density_dm(d, l = s.l, b = s.b) for d in d_arr]\n", - " ax.plot(d_arr, rho_ffp_mw, label=\"MW UBOs\")\n", - " ax.plot(d_arr, rho_dm_mw, label=\"MW DM\", linestyle=\"--\", color=\"C0\")\n", - "\n", - " ax.set_xlabel(r\"$d$ [kpc]\", fontsize=16)\n", - " ax.set_ylabel(r\"$\\rho$ [M$_\\odot$/$\\mathrm{kpc}^3$]\", fontsize=16)\n", - " ax.set_title(r'MW Survey - LoS: l = ${:.2f}^\\circ$, b = ${:.2f}^\\circ$'.format(s.l, s.b), fontsize=16)\n", - "\n", - " ax.legend(fontsize=14)\n", - "\n", - " ax.set_yscale(\"log\")\n", - " ax.set_xlim(1e0, s.source_dist)\n", - " ax.set_ylim(1e5, 1e10)\n" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "plot_line_of_sight(s, plt.gca())" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": {}, - "outputs": [], - "source": [ - "# Initialize an empty dictionary\n", - "data_structure = {\n", - " \"ffp\": {},\n", - " \"pbh\": {}\n", - "}\n", - "\n", - "def store_values(case, finite, v_disp, p=None, mass=None, t_es=None, calculated_values=None):\n", - " if case not in data_structure:\n", - " raise ValueError(\"Invalid case. Valid cases are 'ffp' and 'pbh'.\")\n", - "\n", - " if finite not in data_structure[case]:\n", - " data_structure[case][finite] = {}\n", - "\n", - " if v_disp not in data_structure[case][finite]:\n", - " data_structure[case][finite][v_disp] = {}\n", - "\n", - " if case == \"ffp\":\n", - " if p is not None:\n", - " data_structure[case][finite][v_disp][p] = {\n", - " \"t_es\": t_es,\n", - " \"calculated_values\": calculated_values\n", - " }\n", - " else:\n", - " raise ValueError(\"Parameter 'p' is required for case 'ffp'.\")\n", - " elif case == \"pbh\":\n", - " if mass is not None:\n", - " data_structure[case][finite][v_disp][mass] = {\n", - " \"t_es\": t_es,\n", - " \"calculated_values\": calculated_values\n", - " }\n", - " else:\n", - " raise ValueError(\"Parameter 'mass' is required for case 'pbh'.\")\n" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - " 0%| | 0/60 [00:00" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "plot_data_structure(data_structure)" - ] - }, - { - "cell_type": "code", - "execution_count": 17, - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_60760/3285702519.py:8: RuntimeWarning: divide by zero encountered in log10\n", - " diff_rates_interp_log = interp1d(np.log10(t_es), np.log10(dgamma_dt))\n" - ] - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "plot_gammas(data_structure)" - ] - }, - { - "cell_type": "code", - "execution_count": 19, - "metadata": {}, - "outputs": [], - "source": [ - "def create_gamma_interp_ffp(data_structure):\n", - " t_values = []\n", - " p_values = []\n", - " gamma_values = []\n", - " dgammadt_values = []\n", - "\n", - " for idx, (entity, entity_data) in enumerate(data_structure.items()):\n", - " if entity != \"ffp\":\n", - " continue\n", - " for finite_val, finite_data in entity_data.items():\n", - " for v_disp, v_disp_data in finite_data.items():\n", - " for p_or_mass, p_or_mass_data in v_disp_data.items():\n", - " # if p_or_mass != 1.0:\n", - " # continue\n", - " # Calculate gamma(t) for each case\n", - " t_es_limited = np.logspace(np.log10(np.min(p_or_mass_data['t_es']))+0.1, np.log10(np.max(p_or_mass_data['t_es']))-0.1, 60)\n", - " gammas = np.array([gamma_of_t(p_or_mass_data['calculated_values'], t, t_es=p_or_mass_data['t_es']) for t in t_es_limited])\n", - " t_values.extend(p_or_mass_data['t_es'])\n", - "\n", - " p_values.extend([p_or_mass] * len(t_es_limited))\n", - " gamma_values.extend(gammas)\n", - " dgammadt_values.extend(p_or_mass_data['calculated_values'])\n", - "\n", - " # Evaluate the gamma values at the points in the grid\n", - " gamma_values_grid = np.array(gamma_values).reshape(len(p_arr), (len(t_es_limited)))\n", - " dgammadt_values_grid = np.array(dgammadt_values).reshape(len(p_arr), (len(np.unique(t_values))))\n", - "\n", - " # Create an interpolating function\n", - " gamma_interpolating_function = RegularGridInterpolator((p_arr, t_es_limited), gamma_values_grid, method='linear')\n", - " dgammadt_interpolating_function = RegularGridInterpolator((p_arr, np.unique(t_values)), dgammadt_values_grid, method='linear')\n", - " dgammadt_interpolating_function = RegularGridInterpolator((np.log10(p_arr), np.log10(np.unique(t_values))), np.log10(dgammadt_values_grid), method='linear')\n", - "\n", - "\n", - " return dgammadt_interpolating_function, gamma_interpolating_function\n", - "\n", - "def create_gamma_interp_pbh(data_structure):\n", - " t_values = []\n", - " m_values = []\n", - " gamma_values = []\n", - " dgammadt_values = []\n", - "\n", - " for idx, (entity, entity_data) in enumerate(data_structure.items()):\n", - " if entity != \"pbh\":\n", - " continue\n", - " for finite_val, finite_data in entity_data.items():\n", - " for v_disp, v_disp_data in finite_data.items():\n", - " for p_or_mass, p_or_mass_data in v_disp_data.items():\n", - "\n", - " t_es_limited = np.logspace(np.log10(np.min(p_or_mass_data['t_es']))+0.1, np.log10(np.max(p_or_mass_data['t_es']))-0.1, 60)\n", - " gammas = np.array([gamma_of_t(p_or_mass_data['calculated_values'], t, t_es=p_or_mass_data['t_es']) for t in t_es_limited])\n", - " t_values.extend(p_or_mass_data['t_es'])\n", - " m_values.extend([p_or_mass] * len(np.unique(t_values)))\n", - " gamma_values.extend(gammas)\n", - " dgammadt_values.extend(p_or_mass_data['calculated_values'])\n", - " \n", - "\n", - " # Evaluate the gamma values at the points in the grid\n", - " # gamma_values_grid = np.array(gamma_values).reshape(len(pbh_masses), (len(t_es_limited)))\n", - " dgammadt_values_grid = np.array(dgammadt_values).reshape(len(pbh_masses), (len(np.unique(t_values))))\n", - " # Create an interpolating function\n", - " # gamma_interpolating_function = RegularGridInterpolator((pbh_masses, t_es_limited), gamma_values_grid, method='linear')\n", - " \n", - " # dgammadt_interpolating_function = RegularGridInterpolator((pbh_masses, np.unique(t_values)), dgammadt_values_grid, method='linear')\n", - " dgammadt_interpolating_function = RegularGridInterpolator((np.log10(pbh_masses), np.log10(np.unique(t_values))), np.log10(dgammadt_values_grid), method='linear')\n", - "\n", - " # return gamma_interpolating_function\n", - " return dgammadt_interpolating_function\n" - ] - }, - { - "cell_type": "code", - "execution_count": 18, - "metadata": {}, - "outputs": [], - "source": [ - "# dgammadt_func_pbh_finite = create_gamma_interp_pbh(data_structure)\n", - "# pickle.dump(dgammadt_func_pbh_finite, open(\"interps/dgammadt_func_pbh_finite.p\", \"wb\"))\n", - "dgammadt_func_pbh_finite = pickle.load(open(\"interps/dgammadt_func_pbh_finite.p\", \"rb\"))" - ] - }, - { - "cell_type": "code", - "execution_count": 19, - "metadata": {}, - "outputs": [], - "source": [ - "# gamma_func_pbh_finite = create_gamma_interp_pbh(data_structure)\n", - "# pickle.dump(gamma_func_pbh_finite, open(\"interps/gamma_func_pbh_finite.p\", \"wb\"))\n", - "# gamma_func_pbh_point = create_gamma_interp_pbh(data_structure)\n", - "# pickle.dump(gamma_func_pbh_point, open(\"interps/gamma_func_pbh_point.p\", \"wb\"))\n", - "gamma_func_pbh = pickle.load(open(\"interps/gamma_func_pbh_point.p\", \"rb\"))\n", - "gamma_func_pbh_finite = pickle.load(open(\"interps/gamma_func_pbh_finite.p\", \"rb\"))\n" - ] - }, - { - "cell_type": "code", - "execution_count": 20, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 20, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "t_es_extended = np.logspace(-1.9, 4.5, 100) #hours\n", - "m_arr_extended = np.logspace(-12, np.log10(30), 3)\n", - "\n", - "for m in m_arr_extended:\n", - " plt.plot(t_es_extended, np.array([gamma_func_pbh([[m, t]]) for t in t_es_extended]).flatten(), label=f\"m={m:.1e}\")\n", - " plt.plot(t_es_extended, np.array([gamma_func_pbh_finite([[m, t]]) for t in t_es_extended]).flatten(), label=f\"m={m:.1e} (finite)\", ls=\"--\")\n", - "\n", - "plt.xlabel(r'$t_E$ [hours]')\n", - "plt.ylabel(r'$\\Gamma(t)$')\n", - "plt.ylim(1e-14, 1e-3)\n", - "plt.xscale(\"log\")\n", - "plt.yscale(\"log\")\n", - "plt.legend()" - ] - }, - { - "cell_type": "code", - "execution_count": 20, - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_60760/3285702519.py:8: RuntimeWarning: divide by zero encountered in log10\n", - " diff_rates_interp_log = interp1d(np.log10(t_es), np.log10(dgamma_dt))\n", - "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_60760/2036986455.py:31: RuntimeWarning: divide by zero encountered in log10\n", - " dgammadt_interpolating_function = RegularGridInterpolator((np.log10(p_arr), np.log10(np.unique(t_values))), np.log10(dgammadt_values_grid), method='linear')\n" - ] - } - ], - "source": [ - "dgammadt_func_ffp_finite, gamma_func_ffp_finite = create_gamma_interp_ffp(data_structure)" - ] - }, - { - "cell_type": "code", - "execution_count": 31, - "metadata": {}, - "outputs": [], - "source": [ - "# dgammadt_func_ffp_finite = create_gamma_interp_ffp(data_structure)\n", - "# pickle.dump(dgammadt_func_ffp_finite, open(\"interps/dgammadt_func_ffp_finite.p\", \"wb\"))\n", - "# dgammadt_func_ffp_finite = pickle.load(open(\"interps/dgammadt_func_ffp_finite.p\", \"rb\"))" - ] - }, - { - "cell_type": "code", - "execution_count": 32, - "metadata": {}, - "outputs": [], - "source": [ - "# gamma_func = create_gamma_interp_ffp(data_structure)\n", - "# gamma_func_ffp_finite = create_gamma_interp_ffp(data_structure)\n", - "# pickle.dump(gamma_func_ffp_finite, open(\"interps/gamma_func_ffp_finite.p\", \"wb\"))\n", - "# gamma_func_ffp_point = create_gamma_interp_ffp(data_structure)\n", - "# pickle.dump(gamma_func_ffp_point, open(\"interps/gamma_func_ffp_point.p\", \"wb\"))\n", - "gamma_func_ffp = pickle.load(open(\"interps/gamma_func_ffp_point.p\", \"rb\"))\n", - "gamma_func_ffp_finite = pickle.load(open(\"interps/gamma_func_ffp_finite.p\", \"rb\"))\n" - ] - }, - { - "cell_type": "code", - "execution_count": 21, - "metadata": {}, - "outputs": [], - "source": [ - "def sample_t_es(p, t_es, gamma_func, n_samples=1000):\n", - " pmin = min(gamma_func.grid[0])\n", - " pmax = max(gamma_func.grid[0])\n", - " tmin = min(gamma_func.grid[1])\n", - " tmax = max(gamma_func.grid[1])\n", - " if p < pmin or p > pmax:\n", - " raise ValueError(f\"p = {p} is outside of the range of p values in the interpolating function: {pmin} to {pmax}\")\n", - " if min(t_es) < tmin:\n", - " raise ValueError(f\"t_e = {min(t_es)} is outside of the range of t_e values in the interpolating function: {tmin} to {tmax}\")\n", - " if max(t_es) > tmax:\n", - " raise ValueError(f\"t_e = {max(t_es)} is outside of the range of t_e values in the interpolating function: {tmin} to {tmax}\")\n", - " \n", - " gammas = np.array([gamma_func([[p, t]]) for t in t_es])\n", - "\n", - " samples = sample_crossing_times(t_es, gammas, n_samples)\n", - " return samples\n", - " " - ] - }, - { - "cell_type": "code", - "execution_count": 22, - "metadata": {}, - "outputs": [ - { - "ename": "NameError", - "evalue": "name 'gamma_func_ffp' is not defined", - "output_type": "error", - "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", - "\u001b[0;32m/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_60760/3427913448.py\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0mts_sample\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mlogspace\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1.9\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;36m3\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;36m100\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 2\u001b[0;31m \u001b[0msampled_t_es\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0msample_t_es\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m1.0\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mts_sample\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mgamma_func_ffp\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mn_samples\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m1000\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", - "\u001b[0;31mNameError\u001b[0m: name 'gamma_func_ffp' is not defined" - ] - } - ], - "source": [ - "ts_sample = np.logspace(-1.9, 3, 100)\n", - "sampled_t_es = sample_t_es(1.0, ts_sample, gamma_func_ffp, n_samples=1000)" - ] - }, - { - "cell_type": "code", - "execution_count": 25, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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4pVpFUURzczMGBgaSBgev1xv37/LycpSXly+p3kS0evh8PsxMjuKLhio0CNX5rk6cMWkKv3GNwufzLSk0RFeeczgcEEURRqMxbpEJt9uN1tbWtJfHdjgcaG9vx8DAQNz50q0bgFXxhVBPTw8GBwdTXgFQFEVYrVY0NTUBmH2NOEyXiLJlZmYGMzMzsX/Pb1Mnk7HQkC6Xy7XgQ1Wv18NoNKKjoyPhfIeoLVu2xP37e9/7Hr7//e9no5pEtAI1CNVY35h8md78WPqwKUEQYLPZ0NPTA7PZHBsGOpfJZMLRo0cxMDCQ8nl1Oh30ev2yxts6nU7odLpFe6GLVbThD8wuGJJqoz/6RdnQ0FAsUFkslgVfqBERZUp3dzd+8IMfLOnYjM0GjX6TlM6FJdG3Vs3NzbDb7bHzJXLz5k14PJ7YT1dXV7rVJSJakZJ9BttsNrhcrtiw0FQYDIZFe38Xk+xLoJVAr9fDZrMlDGrJWK1WHDp0KO617erqKrq124moeHR1dcW1oW/evJnysXlbQkbpgzV6v9PpVDy2rq4u7odDk4iIFhf9fE13I87lcDgcae3hs5ocO3YsNiwpKhogHA5HHmpERCtdeXn5gnZ0qtIanqTX6yGKYsLfRecypPItSyorJyk9DtF8KpUKO+saY7cTkVVq3NK1xG6vRBq1Cl/avTZ2O18qKyvx+7//+7HbVDiin6tzhwm5XC4cPXo01niVJCk2NEYURZjNZjidTvT29sJoNMY25hRFEcePH4+ds7+/HwDihp3OXVq7u7s7dn1Idbz/XA6HAxaLBS6XC319fXC5XACAwcFBCIKwpHPmkyRJkCQp4TVTEAS4XC4YjcY81IyIcqEYr5VphQaDwaA4bCjRxSjZeRYLBS0tLelUjVYxtUqFTdXJJ47KKg3G6h7MUY3yQ6NW4Ymt2nxXA5WVlbG1p6mwWCwW6PX6WAPb4XDAarXG9TzY7Xa0t7ejt7cXer0efX19cWE8OlxJpVLBZrPBarVCEAS0tbVBq9WitbUVbW1tAACj0Qij0Yienh50dXUta06D0WjE8ePHodVqYbPZ4oY8mc1mmEymnPagLFeya6BOp8PY2FgOa0NEuVaM18q0QoPJZFL8NmdwcDDlb0VeffVVtLe3J/xd9IN0qat0EBHR7PyFhoaG2L8HBweh1+sXNLZtNlvccW1tbejo6IDdbo81/hP1DAuCEPuJamlpQX9/f+y4TIs+ltlsjrvfarVCq9XG1VmJ2WxOqyfbbDZn7fkkk2xeHxFRPqQVGg4ePAiLxQJRFBc06u12+4JAIUkSnE7ngjDR1tYGQRASfsD39vYumBhGlIwsy/AEpgEA9WUViYcoyRFUz4wAAKbK1wArcIhSJCLjhuQHAGwVKqHO0xClQCCA1157DQDw1a9+FWVlZXmpx2pnNpuTfvnicrkgimLCXl2j0YijR48u2lhubW2N+3euPrfnT/YWBCHWK7JYneeHpHxJ9lqlsnQ5ERW3YrxWptVyEgQBR44cWbCyg91uh16vX/Bh3d7eDpPJlHASXG9vLywWS9y3KT09PXFL1xGlIiLLOOO+gzPuO4jIcsIyajmMHXePY8fd41DL4RzXMDdCERl/238Tf9t/E6FI4tchFyYnJ/Gnf/qn+NM//VNMTk7mrR6UXHSxCaXGa7HNK0s2564QRYNPoh6FVDZSJaLiVozXyrT3aYj2ElgsFjQ1NcU+8BKNJTWZTHA6nYrfZNlsNnR0dECn08HtdkOv12NwcDD9Z0FERGmJ9kIoNVCzNURUFMXY5nOZPm8q5yyU4UnRoV1KvQomkynjj0lEtBxL2twtOrltMZ2dnUk3qEn1PLS6BIIBTE75gIrUltINyxEEAgEAwMTkJDQJhh6pIyHMzHxaZmIKEfVnb/3JKR8CwUAGak5UPIxGIwRBgMPhWNAojk6QzpblbBQHLBy+I0kSRFFUnCs3V6EMTwJmh/zO/6IsGmh4bSSiQpO3HaGJEvF6vbh4/iOU1/hRVled0jERALerSwEA/ZeuJBxzp0EY60s+XRry+psIQxP7XcA7hZnzV+H1erFhw4blPgUqAmPSVL6rsECm6hRtUKcykfbIkSPo7u6OCw09PT1oaWlZsKtxKueLLiM6n8FggNPphMFggMvlij2eJEk4cOAArFZrWo3k6PKvUR0dHWhrayuIhrbSayBJEtrb22G1WmOrSFkslgULjEQ3iSMiKjQMDVRQ/H4/wqFpbF9biob1VSkdE5aBYGj29qONpdAkmP+rlsNYNzkbLB6tqUJE9VloGLsbwIXQNPx+/7LrT4WtqqoK5TWN+I1rFIAv39VZoLymEVVVqb3v55MkCd3d3bDb7QBmG6QGgyFpj0FbWxv0er3icFOXywWbzRY7N/DZ7sfR+9xuNw4ePIju7m44nc7YXIm5Dd/oXLj5+xK43W6Iooi+vr60Gvwmkyn2PPv7+9Ha2pq0Vzvboq9FtMfj2LFjAICmpqZYvdxuN5xOZ1wvSXQ1K4vFgtbWVoiiiIaGhgWBjYioEKhkWWHmaAHyer2or6+Hx+NJawc7Kh5nzpzBN/7kn6H5f3oC6zalNoQhLMs45Z+d3Ly/UgNNgtWT1HIYj4+fAgCc1u6PCw33brsx8N8+xH/+i7/Bvn37lv8k8iQQiuDPjl8FAHznwE6UleRnhSi32x37JtXlci17KEqmeTwe+HyFFxiA2VBTX598z5GVqKenJ+WGskqlwsDAwLL2fCAiyrdCuVam07ZmTwMRrSr19fWrsmFeyLgnARFR4WNooKKnAvBAqTp2OxEZKtyq2ha7vRJp1CqYHlwTu50vlZWVsTHrlZWVeasHFYdEE7EXw30MiKjYFeO1kqGBip5apcLm0uSNZFmlxr2KTTmqUX5o1Co8sz3/Q4EqKyvxox/9KN/VoCLhcrlSms/gcDhi8ySsVitEUeTYfyIqWsV4rWRoICKivEl1AjOX6CYiyi+GBip6sixjMjJ7u0Y9O1EyQSFUhWd3XPRpaoBEZYpcJCJjeGIaALChtgLqPA1RCgQCcDgcAGYbemVlZXmpBxERUaEqxmslQwMVvQiAj2bmrJ6UoIwaEez2fgTg09WTEpYqbqGIjCOnbgD4dPWkPIWGyclJ/NEf/RGAwlw9iYiIKN+K8VqZnzUZiYiIiIioaDA0EBERERFRUgwNRERERESUFEMDERERERElxdBARERERERJcfUkIlpVPB4PfD5fvquRUFVVFerr6/NdDSIiogUYGqjoqQBsKVXHbiciQ4U7lVtit1cijVqFF5saYrfzpbKyEl/+8pdjtwuJx+PBD//8MEanJvJdlYQaq2vx3W93MjgQEa1whXytVMLQQEVPrVJha2nyRrKsUmO4cmuOapQfGrUKL+5ozHc1UFlZib/8y7/MdzUS8vl8GJ2aQOUTu1GtLayG+dS4B6MfXoTP51tSaJAkCRaLBQ6HA6Iowmg0Qq/Xx37vdrvR2tqa8g7MUQ6HA+3t7RgYGIg7X7p1AwBBEJZ0fDHp6enB4OAgrFZrSuUdDgdcLhcAYHBwEE1NTQv+RqmUIaLiUsjXSiUMDUS06lRr61G7piHf1VjAv4xjBUGAzWZDT08PzGYzbDbbgka+yWTC0aNHMTAwkPJ5dTod9Hr9sjYecjqd0Ol0MBgMSz5HIRNFMRYSjh07hkOHDqV0nMvlgiRJcQGgqakJg4ODsNlsKZchIsoFToSmoifLMqYisz+yLCsVQkV4ChXhKUCpTJGTZRn3J2Zwf2JG+XXIgXA4jBMnTuDEiRMIh8N5q8dqlaxxb7PZ4HK5cPjw4ZTPZzAYMDAwsKxegt7e3iUfWwz0ej1sNlvCoJaMzWaDxWKJu89oNKKnpyetMkRUfIrxWsnQQEUvAuDMdBhnpsOIKJRRI4I9njPY4zkDtWKp4hYMy/h/37+O//f96wiG8xcaPB4PvvGNb+Ab3/gGPB5P3upBC0UbtH19fTl7TIfDwQauApPJBKPRuOwyRFR8ivFayeFJRESrhCiKABA3TMjlcuHo0aNoamoCgLihMKIowmw2w+l0ore3F0ajES6XCx0dHRBFEcePH4+ds7+/HwDixvI7HI5YL0N3d3cstKQ63n8uh8MBi8UCl8uFvr6+uDH+giAs6Zz51tbWhra2trj7jh07FvdcUilDRJQLDA1ERKuExWKBXq+PNTgdDgesVmtcz4Pdbkd7ezt6e3uh1+vR19cHleqzhQaiw5VUKhVsNhusVisEQUBbWxu0Wi1aW1tjjVyj0RgbStPV1bWsOQ1GoxHHjx+HVquFzWaLG/JkNpthMply2oOSSXa7Hf39/XC5XLFwtpQyRETZxNBARLQC2Ww2NDR8Ntl7cHAQer1+QWN7/mTatrY2dHR0wG63xxr/ieYzCIIQ+4lqaWlBf3//gm/GMyX6WGazOe5+q9UKrVYbV2clZrM51juSCrPZnLXnExXtTbDb7bBYLLHAlm4ZIqJsYmggIlqBzGZz0kaly+WCKIpoaWlZ8Duj0YijR48u2lhubW2N+3eullSdP9lbEIRYr8hidS7kFYfa2trQ39+P5uZmDA0NJXw9UylDRJQNnAhNRLQKOZ1OAMoN/XS+jS8Eer2+6OqciMlkgiRJSSePp1KGiCjT2NNARLQKRXshJElKGByyNfRFFMXY5nOZPm8q5yyk4UlarRZdXV1xezBEe1EGBwdTLkNElAsMDVT0VAA2lqhjtxORocK9ik2x2yuRRq3C09u0sdv5UllZiZdffjl2mwqT0WiEIAhwOBwLGsXRCdLZspyN4oDZ3a3nkiQJoiiivb190WMLZXhSdJfs+eEsGmiam5tTKkNExakYr5UMDVT01CoVtpclbyTLKjVuVW3LTYXyRKNW4XMPrc13NVBZWYm/+Zu/yXc1kpoaL7w1sTNVp2iDOtrgTObIkSPo7u6OCw09PT1oaWlZsKtxKueTJClhOYPBAKfTCYPBAJfLFXs8SZJw4MABWK3WtHoe5q8e1NHRgba2toJYUUjpNZAkCe3t7bBarTAYDBAEAYcOHVqwopTNZoPBYIi9/qmUIaLiUwzXyvkYGoho1aiqqkJjdS1GP7wIf74rk0BjdS2qqqqWdKwkSeju7obdbgcwu7yqwWBI2mPQ1tYGvV4Pi8WCpqamWGM3unSpy+WCzWaLnRv4bPfj6H1utxsHDx5Ed3c3nE5nbK7E3G/0jxw5AovFAkmS4r41d7vdEEURfX19aTX4TSZT7Hn29/ejtbU1bvhOrkVfi2iPx7FjxwAATU1NsXq53W44nc64XhKr1Yqenp7YjtuiKC74m6VShogoF1SyLOdv69g0eb1e1NfXw+PxoK6uLt/VoSw4c+YMvvEn/wzN/9MTWLcptSEMsixj5tN3cbkKcWvKzymEssgMACCgLgfmlLl3242B//Yh/vNf/A327du33KeQN7IswzMdAgDUV5Qkfh1yIBwO48KFCwCAPXv2QKPR5KUeSjweD3w+X76rkVBVVRXq6+vzXY2c6+npSflbc5VKhYGBgWXt+UBElG+Fcq1Mp23NngYqehEAA9NhAMD+Sg0S/W+nRgSPegYAAKe1+xFJWKq4BcMy/u8Ts2Odv3NgJ8pK8hMaPB4PXnnlFQCz31Qvd/x6ptXX16/KhnkhS2XoExHRSlLo18pEuOQqERHlTaKJ2IuZPxGaiIiyj6GBiIjyxuVypbS8q8PhiK2OFB3nT0REucPhSURElDepTmA2Go0FsToSEdFqxZ4GIiIiIiJKakk9DQ6HA319fXFL9GViubvDhw/DYDDw2yQiIiIiogKSdmiw2+04evQoent7Y/c5HA6YTKbY2t5LIUkSLBZL3HmJiIiIiCj/0goNkiSho6MDQ0NDcfcbjUZYLJa01tqej5PaaKlUANaXqGO3E5GhwkjF+tjtlUitAlq3CLHb+VJWVoann346dpuIiIjiFeO1Mq3QcOzYMej1egiCsOB3r776Kmw225JCg8Ph4JAkWjK1SoWmsuStZFmlxo2qphzVKD9KNGr8g4fX5bsaqKmpwU9/+tN8V4OIiKhgFeO1Mq2J0L29vYqbT+j1erhcriVt0uNyubi7JxERERFRgUorNDidTsX1tKP3i6KYVgV6enoyMomaVi9ZlhH49EeWZaVCKIkEUBIJAEplipwsy5iaCWFqJqT8OuRAOBzG0NAQhoaGEA6H81YPIiKiQlWM18q05zQkGpo0lyiKKfcaiKK4pG2zvV5v3L/Ly8tRXl6e9nloZYgA6PfP/g+3v1IDTYIyakSwV+oHAJzW7kckYaniFgzL+DdvDQIAvnNgJ8pK8jOxwePx4KWXXgIw24u4lP/HiYiIVrJ8XStnZmYwMzMT+/f8NnUyGdunIRom3G53ysfY7Xa0tbWl/VhbtmxBfX197Ke7uzvtcxARERERrSbd3d1xbegtW7akfGzedoReamAAgJs3b6Kuri72b/YyEBEREREl19XVhW9961uxf3u93pSDQ8ZCQ3QCdCrdK5Ikwe12K86PWExdXV1caCAiIiIiouSWM6Q/Y8OT0rGc/RyIiIiIiCi30goNer1ecXWk6FyGxXoPuLwqEREREVFxSWt4ksFgUNyHIRomFgsEoiji6NGjsNlscfdHz9vd3Y2jR49Cp9MtKENERERERLmXVmgwmUywWq0Jfzc4OJjSrs5tbW0JJ0BLkgStVouurq4lT5Cm1UkFYG2JOnY7ERkqjJWvjd1eidQqYN+mutjtfCkrK0Nzc3PsNhEREcUrxmtlWqHh4MGDsFgsEEVxwTAku92+IFBIkgSn05lSmCBaKrVKhZ1lyVvJskqN69U7c1Sj/CjRqPG1RzbkuxqoqanB3/3d3+W7GkRERAWrGK+Vac1pEAQBR44cgcViibvfbrdDr9cv6CFob2+HyWRCT0/PoueODm9KZ58HIiIiIiLKvrSXXG1ra4MgCLBYLGhqaorNRejr61tQ1mQywel0oqWlRfF8LpcL3d3dsdBgsVjQ19cHk8nEFZYoJbIsI/LpbTUAlSpBr4MsQ/1pqQjUQKIyRU6WZQTDMgCgVKNK/DrkQDgchsfjAQDU19dDo1l5u28TEREtRzFeK5e0T4PRaExpyFFnZyc6OzuTljEYDOjt7V1KNYgAABEAp/xhAMD+Sg0S/W+nRgSPj58CAJzW7kckYaniFgzL+LPjVwEA3zmwE2Ul+QkNHo8ntiCCy+VKae8WIiKi1aQYr5V52aeBiIiIiIiKB0MDERERERElxdBARERERERJMTQQEREREVFSDA1ERERERJQUQwMRERERESW1pCVXiQqJCkCDRhW7nYgMFcbLGmK3VyK1Cnh4XW3sdr6UlZVhz549sdtEREQUrxivlQwNVPTUKhV2lSffd0FWqSHW7MpRjfKjRKPGwX0b810N1NTU4PXXX893NYiIiApWMV4rOTyJiIiIiIiSYmggIiIiIqKkGBqo6IVlGe/5QnjPF0JYlhOWUcthNLvfQ7P7PajlcI5rmBuBUATf//vL+P7fX0YgFMlbPdxuN7Zt24Zt27bB7XbnrR5ERESFqhivlQwNRERERESUFEMDERERERElxdBARERERERJMTQQEREREVFSDA1ERERERJQUQwMRERERESXFHaGp6KkAaDWq2O1EZKjgKdXGbq9EahWwc0117Ha+lJWVYceOHbHbREREFK8Yr5UMDVT01CoVHi7XJC0jq9S4VvtwjmqUHyUaNf6JYXO+q4Gamho4HI58V4OIiKhgFeO1ksOTiIiIiIgoKYYGIiIiIiJKiqGBil5YlnHSF8ZJXxhhWU5YRi2H8fj4KTw+fgpqOZzjGuZGIBTB/+m4gv/TcQWBUCRv9XC73dixYwd27NgBt9udt3oQEREVqmK8VnJOA60IESQOC3Ot1LAwVzC8+OuQC6FQKN9VICIiKmjFdq1kTwMRERERESXF0EBEREREREkxNBARERERUVIMDURERERElBRDAxERERERJcXVk2hFqFerFi0zUVqfg5rkj0oFbNNVxW7ni0ajwdatW2O3iYiIKF4xXisZGqjoaVQqPFKR/H+4iEqDK7WP5KhG+VGqUeP/17ol39VAfX09Tpw4ke9qEBERFaxivFZyeBIRERERESXF0EBEREREREkxNFDRC8syPvCH8YE/jLCceEdktRzGXulD7JU+XLE7QwdCERz+3TUc/t01BEKRvNXD7XZj165d2LVrF9xud97qQUREVKiK8VrJOQ20IoQUwsJcJZFgDmqSX75AYQSi6enpfFeBiIiooBXbtZKhgQpOJBJBMBRCIBBIqXxYBsKftpUDgQg0CVYOUsthhD8tFAgEEFF9NnE6GAohEsnfN/NEREREhW5JocHhcKCvrw9NTU2QJAkA0NnZmfZ5enp6MDg4CJfLBbfbDaPRCKvVupQq0QoxMTEB97iE28N3MRmaTOmYCIDxijoAwNC0N+GYOw0iaIJ3toz3NsJzSnlGJjHmHsfQ0BDWrVu33KeQsqqqKtTXr+xlYImIiGhlSDs02O12HD16FL29vbH7HA4HTCYT+vr6Uj6PxWKB2WzGoUOHAACSJKG9vR1arRZDQ0MQBCHdqtEKMD09jbAsQ11Ri9LahpSOiQBQq2bfyqWlZYlDgxyGJjC7h0FpWQPUc3oaIlIEfr8fP/vpj+E88dpyn0LKymsa8S/+5XcZHIiIiKjgpRUaJElCR0cHhoaG4u43Go2wWCzo6emJhYBk7HY7Xn31Vej1+th9giCgt7cXWq0W7e3taQUQWnnUJSXQlJamVFYlA2p5dkySRlWKRPu8aWQ1VOHZoKApLQXmhAZZpYZGFcGLj1TgKcOa5Vc+BWPSFH7jGoXP52NoICIiooKXVmg4duwY9Hp9wl6AV199FTabLaXQ0N/fj7a2tgX3C4KAQ4cOoaenB5IksbeBckpbU471jbU5fERfDh+LiIiIaOnSWnK1t7cXOp0u4e/0ej1cLldsjkMyPT09MJlMCX/X3NwMAHA6nelUjVa5StXsjxIZgFddDa+6Gouvs1ScVCpgY30FNtZXQJXktcg2jUaDdevWYd26ddBoku/UTUREtBoV47UyrZ4Gp9OJgwcPJvxddKiRKIowGAxJz9PS0qL4u2joUAonRPOpVYB+kSgQUWnQX74nRzXKj1KNGof2P5DvaqC+vh4ffPBBvqtBRERUsIrxWpn2nIbFhgylEhqSzVcYHBwEgKTn8Hq9cf8uLy9HeXl50sckIiIiIlrNZmZmMDMzE/v3/DZ1MhnbEToaJpa7q10qk6m3bNmC+vr62E93d/eyHpOIiIiIaKXr7u6Oa0Nv2bIl5WMLanM3i8UCvV6/6F4NN2/eRF1dXezf7GVY3SIycA2zg/h3QE64epJaDuOpmfMAgJPlj8Rt7rZSBMMR/NV71wEA/+sz21Cqydh3AmnxeDx49tlnAQDvvvsuV4ciIiKaJ1/Xyq6uLnzrW9+K/dvr9aYcHDIWGpY7F8HlcqGnpwcDAwOLDoGqq6uLCw1EweiUBoUJwCoAFfJMsiJFT5YByR+M3c6XcDiMiYmJ2G0iIiKKl69r5XKG9Ofnq8gE2tvbcfz48bi9G4iIiIiIKP/SCg16vR6iKCb8XXQuw1Ia/SaTCTabbdEJ1ERERERElHtphQaDwaC4D0M0TKTb8DebzbBYLDAajWkdR0REREREuZHWnAaTyaQ4SXlwcDDthv/hw4fR3t6+4DhRFCGKIoME5UwkEoHb68fd0YmcPN6IexLTM4GcPBYRERHRcqUVGg4ePAiLxQJRFBcMQ7Lb7QsChSRJcDqdCRv/drsdBoMh4e9cLheHKlHOhKYD8M/I+C8f3IBjKDehwT8dxPDwDA55vdiwYUNOHpOIiIhoqdIKDYIg4MiRI7BYLOjt7Y3db7fbodfr0dbWFle+vb0dDocDNpstbu8Fl8sFm82G9vZ29PT0xO6PDn06evQoBgYGlvJ8aJUqX2RJJBnAlKoydnuuSDAMubwU5c070LBzc1bqN9/oPQ/8r5+D3+/P2DlVKmBNTVnsdr5oNJrYKmoazcpb2paIiGi5ivFamfaSq21tbRAEARaLBU1NTbGGfqJdnk0mE5xOJ1paWuLuP3DgACRJgsPhSPgYXEGJ0qFWze7PkExEpcGpikeTltFUlKDs00Z3tpVMlCISiWT0nKUaNf7XZ7Zn9JxLUV9fD5fLle9qEBERFaxivFYuaZ8Go9GY0nyDzs5OdHZ2Lrh/fHx8KQ9LlBWRcBiyLGPULaH0Zm5WIfaMTMI9LsXWaCYiIiIqZAW1IzRRXny6E5qqvAqltY05eUj1hAphWcb09HROHo+IiIhoORgaqOhFZED8dJ9nPWSoE4znV8thPDHzMQDgw/KHEVEtHD+o1migKS3Nal1jj1VSAkRkjI2NYXh4OCPnDIYj+K8fjQIA/sljjSjVLOw1qaqqyvpW9R6PBy+99BIA4He/+13WH4+IiKjYFOO1kqGBVoSZ6JQGhQnAKgDVsj9ZkZyKhMOYCczgr4/9DL99PzNjGsNQ4ZxmCwDg49/ehCbBPI/G2ip8t/ObWf1wCofDsc0ew+Fw1h6HiIioWBXjtZKhgSgPZDkCGUD5tn1oaHk2I+cMR2RU3Z0d7tSw/jFo5nW5+DzjGL34Lnw+X1F8o0FERESFg6GBKI/Ka+pQ27A2I+cKR2SUeccAALUNDQtCAwBkboFXIiIiWk1ys1QMEREREREVLYYGIiIiIiJKiqGBiIiIiIiS4pwGWhFKF1kSSQYwrSqP3V6pKkryvxW9RqNBbW1t7DYRERHFK8ZrJUMDFT21CnhwkSgQUWnwXsXeHNUoPzRqFfY/oM13NVBfX49z587luxpEREQFqxivlQwNRHkiy4B/woOJsfs5ebzJ8VEEZmZy8lhERES0sjA0EOVBOBxBJBSE2/ULXLrjzMljhmb8mBgZhdfrxYYNG3LymERERLQyMDRQ0YvIwPVP93neBhkJtieAWg6jOXAJADBQtgsRVX7HD4bDEZSogWd3l2H3I7qMnDMkq/D+5FYAwNM1N1Ciih+yNXbfjdeP++H3Z3e3Bo/Hg8997nMAgDfeeAMA4PP5svqY81VVVXEDOyIiKljzr5XFcM1iaKAVwR9tHytMiFYBqItMJSuSFzXVZdAJ1Rk5VzCiwsx0HQBAW1+NUnV8aAj6c9NwD4fDuHfvHgDA7Xbjr/7Df8LoRG5DQ2NtFb7b+c2i+BAmIqLVZ+61MhwO57k2qWFoIKKs8fl8GJ3woXL3s6iqz80kbZ9nHKMX34XP52NoICIiyhCGBiLKuqp6LWob1ubs8bI7AIuIiGj14eZuRERERESUFHsaiFaRSDiCkZERDA8PZ+0x3G43QqEQAGB0dBSBQCBrj0VERES5wdBAtEqEggGMj4/jL/72p2hoWJO1x/H7/ZA8XgDAv7P9La7euI2G/V/O2uMRERFR9jE00IqgSWFJpKBq5b/dy9XKKzDI4TDCMlCxoxUNDz2atTr4Jz0oe/01AEBpUzNmBj9B8NOeByIiIppVUVGR7yqkZeW3omjFU6uAXZCTlgmrNDhRYchRjfKjVC3ja+s+WbRcRa2Q1UnJtQ1r8Sf/sQ8AMHzt46w9DhERUbHS6XS4dOlSvquRFk6EJiIiIiKipBgaiIiIiIgoKQ5PoqIXkYEbn+7zvBUy1AnmN6jlMPYFrgAAzpQ9iIhKk8sq5kRIVuGEez0A4HndXZSokg/Zyhb/pAf//ft/BAB4+X/+F3mpQ2BmJrbTZq5UVVVxMzkiIkqJx+PBV77yFQDAL3/5y6K4fjA00IowFW0fK0yIVgHQRiaSFSl6sgyMBCpjt/P2RMMyPPdnl3QNh3MfXGZ8k/joo4/wZ3/1H1BVWZWzx22srcJ3O79ZFB/8RESUX+FwGDdu3IjdLgYMDUS0ogRnpjEdUaFy1zNo2LA5J4/p84xj9OK78Pl8DA1ERLQiMTQQ5YkckTExOQO3NJWR84VkFfzTsxupjXumFgxP8kxMIxyOZOSxikFlvTarq0TN58/ZIxEREeUeQwNRHoSmg5gOyjh+aQSu+8GMnDMCNW5oBQCANH4BasQHBN/kJMamQwj4fRl5PCIiIlo9GBqI8iASDEEuL0Xp402o274pM+eUVSj3rgMA1D32KNTzehqCd+4jeG0EE+77mBi7n5HHTMQ/6UHk0/GZPu84wtzYjYiIqOgxNBDlUWl1BSqF6oycKxxRoSRQBgCoqK+GRh0fGjTuMkRCQbhdv8ClO86MPGYigZkAgj4vAODuqV5Exm9gxpeZIViFjCs2ERHRSsbQQCtComVW5wuvgm1J1CrlOQvhcAQlauDZ3WXY/Ygua3WYnPTj7HuzHy3P7ynHz24GEQrMZO3xCgFXbCIionSVlBRXM7y4akuUgFoF7EbypT3DKg3eqmzJUY3yQ6OW8fDaTxYtV1NdBl2GejcS0QnVsP27/wUAcGvoRtYep5Dka8WmO2eOY2hoCOvWrcvJYwLs3SAiygSdTodr167luxppYWggIsqQXK7YxN4NIiLKJYYGIqIixP0oiIgolxgaqOhFZODmp9sfb4GccH6DWo7gscBVAMBHZTsRUa28+Q0RWYWb0uy33FuE+wtWT8oVvz+A/+v//hUA4J9+/bG81GE1WQ37UXg8Hvh8uV0qmMOwiCibJicn8bWvfQ0A8POf/xw1NTX5rVAKlhQaHA4H+vr60NTUBEmSAACdnZ15Ow/RZLR9rDAhWgUZDRFP7PZKJMvARKAqdjvRa5HpDeUSmZz04/bwOABA8qyuDeVWg1yvEuX1evGX/+FvMTETztljAvkZhsVwRLR6BAKB2JyGQCCQ59qkJu3QYLfbcfToUfT29sbuczgcMJlM6Ovry/l5iCg12dhQLpFAIICp6dnz/+aj2xjxB+G5fwcTY1uy9phz+Txu7g2RJfmYR+GbmsSFy9ew/2AHhMb1uXnMPAzD8ng8+OHhf4fRidyGBs5RIaJUpRUaJElCR0cHhoaG4u43Go2wWCzo6enBoUOHcnYeKi4zMzPo7u5GV1cXysvL812dVScbG8olEpj0Q3XyCgBAvWcbguJ93P/AjvAn72ftMefyeyWExkSMD99CdVVmVokKBQP48Bf/BU+88k9RUlq24PerJajkYx5F5MYgZs5fQmlVbU6HYXly3KNy79493BmTUL/3ZVTVazN6bqX3L+eoUKFju6GwpBUajh07Br1eD0EQFvzu1Vdfhc1mS6mxn6nzUHGZmZnBD37wA3zrW9/i//x5lMkN5RJRl6ihVs/OGdFUluVkb4i5rl/zYujsOIbf+c+YPN+YkXMGg0Gc+tmvUCuPorS0dMHv/V4JkfHrq2ITOyC38ygmx0dz8jhz5bNH5eX9X874azszNYlT/+Nv8eI/+d9QXh0/bppzVKiQsd1QWNIKDb29vdDpEl/49Xo9XC4XJElKGAaycR4iKg7Z3htiruGyUlSVyTjwWDk2b8tMUPH7A+j7GfDKU1pUVi7sabh7049bV2bgHb2LicbcNKZXS+9GPuSzRyWY478p56gQUarSCg1OpxMHDx5M+Du9Xg8AEEURBoMhJ+chosKXi8nXc01MTiMckVFbU56xoOIrn/2o1ApVqKpc+G3X2LAGQf8kRk4dxfTl4xl5zMVkYxjWYlZbUGGPSubla44KN0IkWr605zQs9u1/Ko39pZ5HlmdXvbl9+za8Xm/s/vLy8px3W127dg03buR2t9tIJBIb9lGMjxntjv7Vr36FqqrEF6gzZ84gFAhi/PYoQtOprSYQATBZM9toujc5hUS11SCC8dKJ2TLBYYTnlPLe90KOROC5O457mtysQpyNx4zIakxN1wEA7k8MQ62KX7UoV88z4JtGKDjbsJRujMA/E8GvXLdwYlDK2mPONeH14Z5PhY8v3kGm5pROz8xO7D5/fggV5QuHJ33yyTDUCEFf70WDdmFPRDbcD7pxeXIUV3/5/+B2XV1OHnPa54Nv+CauffAWxm/kZifT8fu34fOMY+j0ST7mEgVnZgchXf7gTZSWV8Y9pntcwkioHLWa3DRuvcFpjI+O4Nbl85gczU0Px4R7BB+/8za+eedmTtsK1RoVfu+Vf4Dq6tyEegDYunUrduzYkbPHy7ZoW29um2+l8Hq9iEQisdslJblpf8zMzGBmZib274mJ2bZRtI2dlJwGAHJnZ2fC3w0ODsoAZJvNlrXz3Lx5UwbAH/7whz/84Q9/+MMf/vAnQz83b95ctP1eVJu7bdy4EYODgygtLYVK9dki9PnoaSAiIiIiKibzexpkWUYwGMTGjRsXPTZjoSG6OZvSBOdMnEetVsfmPNDqcvjwYQDA4OAgRFGEzWbje4EKRk9PT+z24OAgurq6uJADFQV+ttJKcPjwYRgMBhiNxnxXZUUrqp4GWp0sFktcI8xut6OpqQmDg4O8uFHe2e129PX1xTaqlCQJBw4cwMDAQJ5rRpQcP1tpJRBFERaLhRsD50BaM1z1ej1EUUz4O7fbHSuTq/PQ6uBwOGLvCwBoa2uDIAiw2Wx5rBXRrOjGQ1GCIECn08HhcOSxVkSL42crrQQOh4NtxhxJKzQYDIbY8KH5oiEglWVSM3UeWvkkSYIoigtCpk6nU3wPEeWKJElwuVwLLlh6vT7W80BUiPjZSiuB3W5XXMKfMi+t4UkmkwlWqzXh7wYHB1MeS5ap81D2SZIEi8UCQRAU/2bAbNLv6+tDU1NT7ILT2dm57McXBAHj4+ML7hdFEc3Nzcs+P61OmXpfRxtc8+cvCIIAl8uV8XoTZeq9y89WyrVMtyeiv+P8sdxJKzQcPHgQFosFoigu+GbNbrcveBNIkgSn07kgBKR7Hsq96N+ntbUVDocjaZCz2+04evRo3DerDocDJpMpK2MMe3p6oNfrcejQoYyfm1a2TL+v5w7tmC/Z74jSlYvPZH62UjZk67177NgxvldzbdFFWefp7e2V29raFtxnNBoXlDUajTKQeM+FdM5D+WUwGORDhw4l/N34+LgsCII8Pj6e8LhU9u1IR/TxBgcHM3peWn0y8b7u6+uTASwo19nZKRsMhkxXmUiW5ex8JvOzlXIhU+/dgYGBuPeqXq+X+/r6Ml5fipf26knRiVIWiyWu6yjRtxcmkwlOpxMtLS3LOg8VrmPHjkGv1yfsHnz11Vdhs9li3wQ4HI6UJ9gpjQfv6OjA8ePHOemJsirV97XSEtOSJC17+WmipUjnM3kufrZSvqXz3nU6nexlyIMlLblqNBpTmnfQ2dmZdFx7quehwtXb26vYONLr9XC5XJAkCYIgLPvvHV0ekJPkKdtSfV9HG1hutzvuQud2u/k+pbxI5zM5ip+tVAhSfe/29PRgbGwstscIMPuZa7PZ4HK5MjKfkhJLa/UkovmcTqfiN1PR+5WW102H3W6HyWSKu6jN3VCLKJNSfV8LggCDwbDgPS6KIkwmU9brSTRfup/J/GylQpHqe7ezsxNWqzX2xXRnZyckSYLZbGZgyDKGBlqW+d9YJbLc0OBwONDf3w+dTgeXywWXywW73b6scxIlk877uqurK244XXSoJXtRKR/See/ys5UKSS7aE7Q83BGasib6P/9yVpGRJAnt7e2QJCmuKxLg/BfKj/nv67a2NrjdbvT09ECn06G/vx/Hjx/PYw2JEpv73uVnKxUTpfaEw+GIfWljtVo5PCnLGBqooCmtJU5USOZOyGtra8tjTYhSw89WWgmicyW5i3lucHgSZU10mAZXkaGVhO9rKlZ871Kx4nu3MDA0EBERERFRUgwNtCx6vV5xYlJ07CHX/aZiw/c1FSu+d6lY8b1b+BgaaFkMBkOs23C+6P/8XPubig3f11Ss+N6lYsX3buFjaKBlMZlMit8MDA4OctlJKkp8X1Ox4nuXihXfu4WPoYGW5eDBg3C73Qn/R7fb7TCbzXmoFdHy8H1NxYrvXSpWfO8WPoYGWpQkSYp7LQiCgCNHjsBiscTdb7fbodfrufwkFSy+r6lY8b1LxYrv3eKmkmVZznclqPAcPnwY/f39EEURLpcLwOx6yIIg4NVXX13wP6/D4UBfXx+amppiYxK5wQoVGr6vqVjxvUvFiu/dlYOhgYiIiIiIkuLwJCIiIiIiSoqhgYiIiIiIkmJoICIiIiKipBgaiIiIiIgoKYYGIiIiIiJKiqGBiIiIiIiSYmggIiIiIqKkGBqIiIiIiCgphgYiIiIiIkqKoYGIaAU7fPgwVCpV7Ke5uTnfVSoKFosl7nUzmUz5rhIRUV4xNBARrXBGoxGDg4MYHBxEb29vvqtTFLq6umKvWWdnZ76rQ0SUdyX5rgAREWWXIAjQ6/Vx95nNZjidTkiSBFEUIctynmpXmARBgCAIAICmpia4XK78VoiIKM/Y00BEtAqZzWaYzWaIopjvqhARURFgaCAiKjAulwtmszmrj2EwGHDo0CEYjcasPg4REa0MDA1ERAWmvb0dPT09ORkSEx2CQ0RElAxDAxFRAYnOMQBmewOIiIgKAUMDEVEBcTgcABgYiIiosDA0EBEVkL6+PgDgXAMiIiooDA1ERAUk2tPAzcSIiKiQMDQQERWIufMZ2NNARESFhJu7ERHliSiKaG5uhiRJC36nUqlitzs7O2G1WnNSp8OHD2NsbAySJMHpdEKv1+PIkSOLrrIkimKsjoIgxJ6T2WxOOD9j/uZy4+PjcY8hiiLMZjPcbjdEUYRer8fAwEDcOdrb2yGKYuyxBgcHIUkSLBYLBEGAKIp49dVX0dbWFndem82Gpqam2HFjY2N49dVX4XA4YDQaOZ+EiCgBhgYiojzR6/UYHx+P/dtsNqOnpyenISEq2ti2WCxxu0ebTCZs374dQ0NDisHBbrfDYrGgr68v7lhJknDgwAEYjcYFz6e9vR3Nzc2K+1Ho9XpYLBb09vYqLj3b1dUFp9MJs9kMvV4PSZLQ0dGB3t5eSJIErVYLu90e2+3abrfj6NGj6O3tXXAui8WCw4cPLwgmREQ0i8OTiIgKRD7nM1gsFlit1rhGPwBYrVZIkoSenp6Ex/X09KCjowMDAwMLjhUEAQMDA3A4HAvCgdFoxKFDh+J6AeYzGo2w2WyKv49uUBftGYiGjOhjt7W1obOzM1a+o6MDR44cSXiuRM+diIg+w9BARFQA8j2fQRCEhD0J0QZ5dFWnuSRJgtlsxqFDh5IOX7JarVndrE6n00EURTQ1NcXd39vbG+vhkCQJkiTB7XYrnidZgCEiWu0YGoiICsCxY8cA5G8C9GK9G4ka2xaLBQDw6quvJj02+pw6OjqWWLvUJHvtoqGmvb094RwSYPZ5cIdsIqLEGBqIiApA9Jv8fC21upShOdGgk8qxgiDA5XIpNtgzYbF62Gw2uFwuaLVaNDc3w2KxxIaEAbO9KhyiRESUGEMDEVEBiDZe89XToNPp0j4mGgBS+XY+ev7oEKxsWKwehw4dQl9fHwwGA1wuFw4fPgyTyQSVSpW0B4KIiBgaiIjybu6yocWy3OdSG9jJ5hTkgtFoxMDAAMbHx9Hb24vOzk4YDAbY7XZs3749q6GGiKiYMTQQEeWZ3W4HUFwbus39Vj+VABENC/ka/iNJUux1Bj5bXclqtWJgYAB9fX2xid1ERLQQQwMRUZ5F5zO0t7cv+F2+5jikIrrakNPpTFouunKRXq9POzRkasiQ2+1OunxrdC+JuXMciIjoMwwNRER5Fm10z+9psNvtBR0aosuZJmuMA59NmE60Yd1icyky2Yhf7FxGo5GrJxERKWBoICLKs+i36fN3U7bZbHGbkxUavV4Pq9UKu92edC6A1WpFW1tbwn0QmpubAShPkO7r68toQz66TGwioigW1RAxIqJcYmggIsqzaGM6Gh5EUURHR0dsd+NsijbWlRrtc+uUSGdnJ2w2G5qbmxds3iZJEkwmE4xGo+JzOXjwIARBQHd394LfWSyWWCPf5XLB4XAkHK602HOYX6dEu1u7XC50d3cr7hhNRLTaleS7AkREq11vby/MZjPa29shCAJ0Oh2OHDmS1aEyzc3Ncas2HThwADqdDjabDUajES6XC+3t7bEJzJIkQavVQqfTYXBwMO5chw4dis0JcLvdsR2aBUGA1WpNuiKUIAgYGhqCxWKByWSCXq+PPe+urq7YbUEQYDabIQgCBgYGAABNTU1wu92x59Dc3AydTgeDwZAwpHR2dsbmLUQnPM99jaPnJSKihVSyLMv5rgQREWXH4cOH0d/fn5Nei5Wqp6cHvb29sQnrRESrEYcnERERERFRUgwNRERERESUFEMDERERERElxdBARERERERJMTQQEREREVFSDA1ERERERJQUQwMR0Qpnt9uhUqmgUqliOzBTchaLJfaaRfd0ICJazbhPAxHRCiZJUmyDtii9Xp+n2hQPvm5ERPEYGoiIiIiIKCkOTyIiIiIioqQYGoiIiIiIKCmGBiIiIiIiSoqhgYiIiIiIkmJoICIiIiKipBgaiIiIiIgoKYYGIiIiIiJKiqGBiIiIiIiSYmggIiIiIqKkGBqIiIiIiCgphgYiIiIiIkqKoYGIiIiIiJJiaCAiIiIioqQYGoiIiIiIKCmGBiIiIiIiSoqhgYiIiIiIkirJdwXSEYlEcOfOHdTW1kKlUuW7OkRERERERUuWZUxMTGDjxo1Qq5P3JRRVaLhz5w62bNmS72oQEREREa0YN2/exObNm5OWKarQUFtbC2D2idXV1eW5NpQur9eLLVu28O+3wrndbjz//PMAgBMnTkCn0+W5RskFwiH8+fm3AADffuRFlGkWfizm+r0rhwOQBv4tAEBo/hZUmrKsP2Y2BEIR/PlbgwCAb7/YhLISjojNB372UrFaye/dQrlWRl/jaBs7maIKDdEhSXV1dSvuzbOa8O+3soVCoVgXZzH8rQPhECpqqgHM1jdRaIjK1fORwwFEqitij1nMoaG8ugbAp68tQ0NeFcP/j0SJrMT3bqFdK1MZ9s9PcCIiIiIiSoqhgYiIiIiIklrS8CSHw4G+vj40NTVBkiQAQGdnZ9rn6enpweDgIFwuF9xuN4xGI6xW61KqREWgvLwc3/ve91BeXp7vqhClhe9dKmZ8/1Kx4nu3sKhkWZbTOcBut+Po0aPo7e2N3edwOGC1WtHX15fyeSwWC8xmM/R6PQBAkiS0t7fD6XRiaGgIgiAsOMbr9aK+vh4ejyfvY7+IKLFAIIDXXnsNAPDVr34VZWWFPR4/IkdwY1ICAGytEaBW5b8DVpYjCHlvAABK6rZCVQB1WopIRMYNyQ8A2CpUQq3mUtlEREDhXCvTaVunFRokScL27dsTNuqbm5thNptx6NChRc9jt9uh1+thMBgWnF+r1cJoNCYMIAwNRERERESZkU7bOq2vr44dOwa9Xp+wF+DVV1+FzWZL6Tz9/f0LAgMACIKAQ4cOweFwxIY9ERERERFRfqU1p6G3t1dxHVm9Xg+XywVJkhKGirl6enrgcrkS9iY0NzcDAJxOJ4xGYzrVI6IC4Pf78Wd/9mcAgO985zuorKzMeR08Hg98Pl9KZcNyBB957gEAHqtfB80ShwJVVVWhvr5+ScfOJ0fCCNx3AQDK1hqgUmsyct5cC0dkDNySAADNmwVoODyJiAhAYVwr05VWaHA6nTh48GDC30XnJoiimLAXYa6WlhbF30V7GAp9QygiSszv9+MnP/kJAOCb3/xmzj8IPR4Pfvjnh3Fr9D6ksTGUV1RCaNAprkEdVgFndTL8Uz48eGMKDY2NsbWzEwkFg3CPjEKlVkG3Zg00mtkGfWN1Lb777c7MBAc5DN/QbwAAZWv2Aije0PDri/cBAPs21jM0EBF9Kt/XyqVIKzSk0ouQSmhINmF6cHB299Bk5/B6vXH/Li8v58x6IgIA+Hw+3Bq9D3HsLtY0bUPT808mDQHSyBg8Vz9CaW0V9K8+i/Iy5c8Sv3cSF944AU1DNfaYnkdZ5ewGbFPjHox+eBE+ny9jvQ1ERESZNjMzg5mZmdi/57epk8nYjtDRMOF2u5d1np6enkUnU2/ZsiXu39/73vfw/e9/f1mPS0QrhzQ2hjVN29Dye1+EWqP8Lb33/ijED1yo3K7Fuh3bod2wHhqFgOGTvLj2vhPVunrs/YoJ5VXx3wr5M/oMiIiIMq+7uxs/+MEPlnRsxkJDJlgsFuj1+kX3arh582bcDG/2MhDRXOUVlbM9DIsEhrO/cqBaJ2Ddju1Jy/okL878sg8lZaUJAwMREVEx6Orqwre+9a3Yv71e74Iv45VkLDQsdy6Cy+VCT08PBgYGFh0CVVdXxyVXiUiR0KBLOiRpbmDY88UXcdJ9W7EsAwMREa0UyxnSXzA9De3t7Th+/HhsQjUR0VIpTXoG4gPDY196GaoS5Y/BdAJDOBxeVp2JiIgKWVprC+r1eoiimPB30bkMS2n0m0wm2Gy2RSdQExEtx/zAUJJkB850AkPAPw33yEg2qkxERFQQ0uppMBgMipuuRcNEug1/s9kMi8WS8z0Z0lnHPdcyud47Ua7V1NTgu9/9bux2oVAKDGqVCo9q18duA+kFhhmfHxf6TqA8ImeusuoS1Oz6R7HbxapErcI/NmyK3SYiolmFeq1MJq2rkclkUpykPDg4mHbD//Dhw2hvb19wnCiKEEUxa0HC4/Hgh4f/HUYnEocGWZbhlcbhn5pEnVaHqurkf8xJrweTXg9q6upRU5e8se+bmoR33I3K6hrUCdqEwygaa6vw3c5vMjhQUSorK8Mf/MEf5LsacZL1MKhUKjRUVMf+nW5gOPvLPoQDIejWNGasviqVGqXaBzN2vnxRq1V4cE1xXAyJiHKpEK+Vi0krNBw8eBAWiwWiKC4YhmS32xcECkmSFHd2ttvtMBgMCX/ncrmyOlTJ5/NhdMKHyt3PoqpeG/c7GTKGTp/EXd8YdrSYsHZb8gv3rUtncfv2ALY+8iw279qbtOz961dwc+A9rG96HNsffwoqLAwMPs84Ri++u+T13iVJgsVigcPhiAUvvV4PQRAgSRJEUYTT6YQkSZDl2W9GHQ4H2tvbMTAwsKThZUrHR3ulFpvYvtKJogir1YqmpiYAs6/HYssKzz3WZrOhoaEBY2NjaG1tRVtbW9plVrNsDUmKBoZQIIg9n3seUyfPZ6P6REREBSGt0CAIAo4cOQKLxYLe3t7Y/Xa7HXq9fkFDpb29HQ6HAzabLa6R5HK5YLPZ0N7ejp6entj90Ubm0aNHMTAwsJTnk5aqei1qG9bG/i3LMq5++BbG797CYy9/BRt2PJz0+E/O9eOeeAm7njqABx5tTVp2+NrHuHnxDLbvfQI7n3gx6UTNcf/SV3wXBAE2mw09PT0wm82w2WwLgoAkSThw4EAs/Ol0uth/l0LpeKfTCZ1Ot6rnqoiiiObmZgwNDcXCk8ViweHDh9HZ2Zn02Oj/O9H/16J/t7n/n6VSJtf8fj/+4i/+AgDwJ3/yJ3nd5TKVwBCRZdz3T2J6YhK333gfpWkGhn1fMSEcDGIqg/WWI2EERs8BAMoaH4VKXbw7Qp8bnt046NENddwRmojoU4V0rUxV2oNl29raIAgCLBYLmpqaYg39RLs8m0wmOJ1OtLS0xN1/4MABSJIEh8OR8DHysYJSNDDcuXoBD+1/OaXAMHTmFLbv259SYLh86k1s3Lln8cAwfBPSWHYnVAqCgK6urlhoMBgMywppSsf39vbCbDYvp6pFz2q14tChQ3G9LV1dXdBqtUlDgyRJaG9vx9DQUOw+p9MZtxBBKmXywe/348c//jEAoKOjI28fhBOjbgyeHFi0h0GWZZy7dxN3r4jYuYTAUCXUYWJkLLOVl8PwDf4CAFDW8DCAwgkN6cwHC4Qj+C8fDAMA/vjJDSjTpLX2RgzneRHRSlMo18p0LGmGndFoTGm+QWdnZ8KG0fj4+FIeNmsKJTCM3RrCpZNvYk0O3jhGoxHHjh3L2vkdDkest2M1O3bs2IJhe9EA4XA4FP8/6u7uRktLS1zYMBqNcf/vpFJmtQoEZjDoeAe6LRsXH5Lk8eLuFRFqjRqPffmltAPDajJ3Pti03w9pbATllZUQdI0JP9vCUOGcZgvCoTDO/fRDlJVqoG1cm3QPjVAwCPfofahUaujWrIVGo+E8LyKiAlC8y3JkSCEFhvNv/wbaDZshZHSgw2fmTjAXBAFGoxGiKMJsNsPpdKK3txdGoxEulwsdHR0QRRHHjx+PfXPd398PAHGN4ETHOxyO2HCZ7u7uWM/R3OMcDgdcLhcEQcDAwADMZvOShzE5HA5YLBa4XC709fXB5XIBmJ2cLwjCojuMZ4skSZAkKWHPmSAIcLlciqHBbrfHApfD4Ug4zCuVMqvV+MgoqjY2pDSH4ezrx6FeX4n1D+pRniSwr/bAAHw2H2xGtx03zg9Au2kX9E++pBgCwhEZmqFxuG9cxbqGrdA/Y0JJaani+f2THlw48Rtoqtfikee/gNKKqmXP8yIiosxY1aFBRmEFhoZND2DLnmaMf/j6kp7PYuYPW4k2Zvv6+uLqFx1upFKpYLPZYLVaIQgC2traoNVq4yba6vX6BcdHe6J6enrQ1dWVsLHb3d0dN6RJq9UueSK20WjE8ePHodVq48b3A7NL+ppMpoTD57It2TAhnU6HsTHlIS3RY3t6enDw4EGIohhbvSz6eqZSZrUqKSlF04FnUp70vP5BPTRJGrMMDJ+Z9vtx4/wANu58GA8/9wWoNcpDp8bv38X48CeorBXQ+sLnUF6hvAupzzuOa853UF3fgH2mr6Gs8rMVrZY+y4uIiDJl1YYGWZ5dJWn87q2CCQwPP/cFTEmZHRsdbfBLkoRjx47FNajnSrTCkSAIsZ+olpYW9Pf3L5hom84KSR0dHThy5EjcfQcPHoTVaoXNZkv5PIkef/5wKKvVCq1WC7vdnnRysNlsTmsugNlsXvZk48X2POnr64uFHYPBAIvFggMHDmB8fDylMquZdk1j0m+05waGR758AB967yqWZWCIJ42NQLtp16KBwTt6Dx+9+QuUandj3fYHkwc47zjO9P0MJaXlCwIDEREVhlUbGrzSOO76xlJeJSkXgSHZBXipLBYL9Hq9YgN1Ma2t8c93ucunulwuSJK04Jvw5ubmJQeGueav4CQIQqw3JFkjPxOPPV+y1yq6g3oy818jo9EISZLQ09MTG9aUrEyqy7quRMnGzM9fVrWkohzwJi6bTmCIRCLLrXZRKK+snB2StEhgOOv4OaqFRqzb/mDSsgwMRETFYdWGBv/UJHa0mFZ0YJgruuJVvlfWcTqdAD4bgx+l0+myNvdAr9fn5XlHn1+iwCZJkmKoiB4X3ddhvoGBARw8eHDRMrRQon0YwgqN/XQCQygYxPjIaLaqXVAEXWPSUPZZYGjAnhe/jJO3JxTLMjAQERWPVRsa6rS6RTduWymBIUqv1+dlOVvgs0nY0cePbjqXq8debLWvbAxPig7tUupVMJlMSY9T6h1qampKqUy+1NTU4Nvf/nbsdqFQ2rhNrVLhYWFd7DaQZmAIBHDx+HtQh4KZq6y6BNUP/sPYbSXpLH+aCffu3UMwEFD8/dzA8NjLr0BTWoqH19UCAOZv0ZBOYAiHwxmpPxFRoSjUa2UyqzY0VFUn/wOttMBQCKKr+0RXDpofGpItQZqq+Q306C7Y7e3tSY/LxvAkYHauxuDgYNx90XCS7LkePHgwtlpVVDQgRI9LpUw+lJWV4Y//+I/z9viJJNvpWaVSYW3lZ58H6QaGj379JnySB1vWNGasviqVGmUNe5KW8Xg8+Pc/+iFmJkfh8U5C8k5CqKtBfV3yz7bJKT/Gxj2ora6CTpt8foZ/egYjo+OorCxHo07A9PQ0rp8XoWv9QtzGmMDCwBCdw7C2ZuHk53QCQ3DaB/fI/aT1JCIqNoV4rVzMqg0NAODzJJ4seuvSWdy4MICte5qh2/gAJsaUL1j3r1/BtYH3sF7/ENbveBiTbuWN2caHb+LSyTeh3bAZW/Y0J5z0rFSnpUpnLkMqZaPLiKZyvMFggNPphMFggMvlin0zH91VfO439aIoxo6P7mpstVrTbvxGl32N6ujoQFtbW94a0RaLJbaiUZTNZosLKdFN2uauemS1WtHc3BzXOxN9zdIpQ8kDw3xLCQxTbgkPG5/DzMCVbFRfkc/nw8zkKDZUSZDu3sfnDVvR8siWpMdcHLyHNz+8iWd2r8cLLfqkX3Bcv+3Gb969gb3btPjCMzug0ahx484IBs75EZyZjiurFBgS1juNwBDwT+H8id+iQl4d80WIiArZqgwNVVVVaKytwujFdxcs5Tfp9WDS68GmunpUSjcwduqG4nl8U5PwjruxvroGddOjcJ/6lWLZ6EZIayorIWAq6bKq2qoyVFVVpfu0AMw2QLu7u2G32wHMNpqNRiNMJlPChrPL5YLNZosdB8wOY5p7n9vtxsGDB9Hd3Q2n0xmbl2Cz2RIePz8czN+roK2tDXq9HmazGc3NzQBmeyGix7ndboiiiL6+vrQb+yaTKfbc+/v70dramnTn5WzT6/Xo7e2FxWJBa2srRFFEQ0ND3CRlt9sNp9MZ10sS3b/CYrHE5j40NTXFhY1UyuRDIBCI1cFsNqMsSQMy21IJDLIsY2R6CoHpadx+432E0wwMe79shEqlwkwG6y3LEQTdFwEApbrdUKkSzyHweCch3b2PLz23C08/vi3pOT+6PIwPz9/Es4bt+NzTDyYNDNdujOId1xAee3AjvvbyHmg+3cl5cmrhHjLJAoMsyxiZmh3OtKa6DP4JKa3AcKbv5wiHAtA1rlUsR0RUjArpWpkqlSzLcr4rkSqv14v6+np4PB7U1S1v2cNcjwVOR1VVFTcxAtJeAUilUmFgYIDfsueZ2+2O/Q1cLteCFa2ybXh4GN/u/gHKmnfh+oenoSkrxZ7Pv4gyhR6GsBzByfvXcX/wE2y+NYFHP/8SKutrFc8fCgRxse8EfOMePPz5F1C7pgGTY+Pw/s6JP+/6HjZs2LDs5yCHA5A+/L8AAMIT/woqzcKLyfDwMP70T/4XfN4g4MsvJl/Q4aPLw/jNu5ewb9fGlALDz46fh35zQ1xgAIBrn9zFv/x/TmDXP/4hNux4eNEehnBExjtDsz2qzQ1qnDv+87QCQyg4gx0tz8F3/gS6u76ZkdeWiKgQ5PtaGZVO23pV9jQAQH19PRvmBW6py8TS6ub1enH+jAv3Tp9EaXUltj75CM6ceV+xfMAfwMVJL+RIBA1CDc5d+FCxbDgYwq0PLiAw6cOmJ/fg4tUzwFUg4J3CxMB5nDp1Ctu3b1/+k4gEUX53du+IT86eBdQL95wYGRlBqUaz6JCkTAWG+dIZkhScmcbZ430oSzMw7DN9HeFgEIX59Q4R0eqyakMDFTaHw7GkzdNS2f+AVja/34+x+/dRvrEOxrZmVNUoz2HwTfpx4rWPoN65GVt3b0JLbTk0Cm3qwEwAJ147Ddk3hedeacHajZ99K3TjqoTzN27A0v1/oKKiHLIswytNIDgTRK1Qk3QnZFkGJr2TmPbPoKauGpVVFShRRdC2a3Z+lP3S+wjJnzXepyZ98E36UV5RBvWMD//sS1uwvjFxz0i2AsOU5J7dvTnFwHBXvISdpeXYZ/pqWoGhqk6bdE4ZERHlDkMDFSSXy5XyfAaHwxEbF2i1WiGK4qre2KzQ5Hoo4MjICGQAT3/JgLVrlXsTJ71+nPyVE3IkgqZHtqKyqgw1lRpoEjSsZ6YDePv1AQQm/Hip7Sls2NwQ93tVREakrAQPHHgIGzY1ov/4RwiGfHjkS49h0zbl8fiyLOP0uxcxLU7hoRcexfbdmwEAajmMjeGzAIDH9+5FRDW7ytrFgUHcPz+Jbc8/CO0GLc793fuYnJo/M2tWtgJDMBDElQ9+h/VNu1Oa9HxXvAS1WoO9L72SdmAgIqLCwdBABSmdyctGozGvS4ySMo/Hg7/6j/8Bo1OfbfA1uyjAGMorKiE06JI2ZgOBGYyPjKKkpBTaNck3FQsFg3CPjGLC48WMSkZJuXJjdtLrx3H7+wgGQnix7SlcqVIuOzMdgMN+ElPjU3ju608uCAxzVQtV+PjDq/B7fHj2609Bv2ujYllZlvHub05DGh5H6xcMeNjw2bAmtRxG9fhsD8k6rQ4RlQYDJy7izrW7ePTZPWh+fjeuD95TPHe2AsOIexLjkhdrHxJSCgxnj78GdeU2rNfvYmAgIipyDA1ElDU+nw+jUxOofGI3qrX1cN8axs23T0Jo2oSm559MGgImRt0YdLyDqo0NaDrwDEpKF47rj/J7J3HhjRPQNFSjcW8TIp9cQSiUeEOwuYHh5banUN9QC/gTl00nMMiyjPMnLiHkD+CJLxhSCgy3Lt/G3hceiQsMiQycuIjLzmt4qGUHmp/fnbRstgLDnREvXj9xBSUlGuxsfSHFZVUrsF6/C5okfzsGBiKi4sDQQERZV62tx4zPj+vOs9iweyf2GJ9LurGh9/4oBk8OQLdlIx770svJG6iSF9fed6JaV4+9XzHh5qVrimXnBwZdYx3CCgvIpRMYQuEwQv4ZeEY8eKntmYwGBtc7l3DZKeY9MBz9zRlo6yqhFeqhKVG+dMzdh+HRA6/gg7vTimUZGIiIigdDAxFlVGVlJf7wD/8wdhsA3LeGcd15Frqtm1IKDGd/5UC1TkgpMKS6cVuiwAAAKgA7ytSx20B6gSEcCuPjk1cQCUXw0P6dGQkMMlS4Xr0TH7tEXHIO4qGWnXkPDI3aajTvXod3LihvYDl/47aSiirsWjt7mZlfnXQCQyTCzd2IaGVJdK0sdAwNRJRRlZWVsFgsAGb3Epj2+3Hz7ZMp9zDkMjAAgFqlwrqSz1q06QaG3/38Q0yMeVFSWYZ1WxoVy6bTwyCr1HjjgzFcdo4UTGA4+Pm9uDk8qlhWaafn9bUVC8qmExhCwSDGR7mCEhGtLHOvlcVC+WpBRJQB0tgYhE0bCjIwzLeUwDB6aww7WpqgKVX+DiabcxgGb47lJDCUl6U2JCndfRiSBoZAABffewOhYFCxDBER5QZ7GogoowKBAH7yk58AmF3ZqryicnbSc4EGBlmWMR4BAjNBOP/HSfjSDAxPfMGAGf+MYtmlBIYrzqt4bv8GPNKyDh5ZXji251Mz0wGcOnsTX37pkYIMDLIsw+2bbfDrqkoRnPalFRg+evMX8Hnc2NqovGwtEVExmnut/P3f/32UJbnuFQqGBiLKqMnJSfzwhz8EAOzfvx9Cgy7pKknZCgx+30xKPQwRAOemghA/vokqjw/PpxkY9Ls24uLpoYRll9rD8HBLE762SwImL+K0dj8iWBi4Prl8G9P+AHY+0FCQgQEAIjJw7q4XAPDk+gqcO/5aWoFhShrDw899EYErJxXLEhEVo7nXyq9//evQ6XSLHJF/qzY05HrDqXRUVVWhvl55UyqiYpKsMZutwBCJROByfITyytIUhiTNBobgdBDPfPWJtAODkuUMSTI89yAwfkqx7MeuIQy6BlFaVoInHtlckIFhrnAwiLPH30AkzcCw1/g1qFQqjCmWJiKiXFmVocHj8eDf/+iHmJmcndQ3OeXH2LgHtdVV0GmVGxcA4J+ewcjoOCory9GoE5JerGcCQdwfcaO0tARrG7VJv20NhkK4d98NtVqNbfqH8L93/msGB1rRshUYQtMzmPH6EGmsxsttzy86h+HN/3EKwU1rsXXXJmxYV6NYNleBofn53YCceN8IYDYwnH37PNY8sA7ShE9x6BKQvcAw7ZvAUN+plAPDXfESHgjOwJBmYKhrXIeJMU6CJiIqBKsyNPh8PsxMjuKLhircH5vEmx/exDO71+OFFn3SEHD9thu/efcG9m7T4gvP7Eh6Ab43NoHX3hzEzvVVeOXFHShLMklSmvDjZ47z2KrV4LlmPd7+eAw+n29JoUGSJFgsFjgcDoiiCKPRCL1eD0EQIEkSRFGE0+mEJEmQP12f3uFwoL29HQMDA9Dr9Wk/ptLxkiQBAARBSPucK1FPTw8GBwdhtVpTKi+KIqxWK5qamgDMvo6HDh3KZhVzJluBYcbnx+BJJ2RZxt4Dj6U26dnjw9YDm1Bbp3zenAaGJKKBYfNDm7DpwY14/8J1xbLZCgyhYBiXT70J3fqtKU16viteQiQSxt4DX007MBARUeFYlaEh6v7YJD48fxPPGranNCb4HdcQHntwY0oX4Dc/uIbtm3WLXoDdHh8cJ69ija4a/+iL+zDpCwAfK6+DvhhBEGCz2dDT0wOz2QybzbYgCEiShAMHDkAURej1euh0uth/l0LpeKfTCZ1OB4PBsOTnU+yiDX8AOHbsWMqNflEU0dzcjKGhoVjoslgsOHz4MDo7O7NV3ZzIZmA4+8s+hANBVNRWoa5euTE7d5WkZ77+JD4pssDw7Bcfxyei8jfw2QoMnslpSJIHwraylALD2eO/QES9Fuv1uxgYiIiK3KpdcnVyyo83P7yW12UK3R4ffvr6aVSUl+AffXEfaqrKl/WcUiUIArq6uiCKIgDAYDBgYGBgyT0CSsf39vYus6bFT6/Xw2azJQxvyVitVhw6dCjuNe3q6iq6NZ3ny3ZgCAWCaHqmFeoS5ZWaFiyrukk5LKcbGD7+4FpOAkO+Pq9++fYlqFRq7Nr/YsrLqq7X70Jp+cK9GqIYGIiIisOqDQ1j4x7s2bF+1QWGKKPRGAsN2eBwONDT05O18690x44diw1LiooGCIfDkYcaLV8uAsO+r5hQXpNaD0O6y6omCwwRWUZ4OoCxG6MZDwwXT18viMDw09dPo7xUA622DiXlyn+PuYFh74GvMjAQEa0Qq3Z4Um111aJzGFZaYBBFMTbPQRCEWHAwm81wOp3o7e2F0WiEy+VCR0cHRFHE8ePHY+Giv78fAOLG5Cc63uFwxHoZuru7Y9+wzz3O4XDA5XJBEAQMDAzAbDYveRiTw+GAxWKBy+VCX18fXC4XAGBwcBCCIKQ8h6BQSJIESZIS9kwIggCXywWj0ZiHmqWmsrISv//7vx+7DQATo24MnhzIemCoEtLfuE0FQF+qjt0G0u9huOwUEQ6Gsf3xbRkJDDJUuFGlx9DlOzjz9gVsfmhz3gNDRXkJXmjehQ8uKy9/On/jtopaATtV0wAWztdOJzBE518REa0Uia6VhW7Vhgadti7vF+Bc9zDM71mINkr7+vriXovocCOVSgWbzQar1QpBENDW1gatVovW1la0tbXFzjH/eKPRCKPRiJ6eHnR1dS0IA3a7Hd3d3RgYGIjdp9VqlzwR22g04vjx49BqtbDZbHHDosxmM0wmE/r6+tI+b74k6wHS6XQYGyvsBSgrKytja08PDw8jEJjBoOMd6LZsLLjAAABqlQobSj97/y5lDsPYrRGUVJRiy84NimWB1HsYZJUab388jbNv3ymYwPCPvrgPd0fGFcsq7fS8qX7h3zCdwBCJRCC5RxV/T0RUjOZeK4vFqg0NyaykwBBt8EuShGPHjinOM0g0n0EQhNhPVEtLC/r7+2OhIdnxSjo6OnDkyJG4+w4ePAir1QqbzZbyeRI9vtlsjrvfarVCq9XCbrcvqPNcZrM5reFaZrM56fmyKboqVbEYHxlF1caGggwM8y110vO2R7fh4vuXFMsC2ZnDIMsyBj+5D8epQWzfpMWBJx6Az6+8/8zd0Qn8Xd8FNAhV+OIzTQgEphEIJC477vWj943zKC/T4MvP74YcCcI/NYVIJLKgrFJgSCStwBAO48oHv0PY71csQ0REucHQME8hBIZweOFFeaksFgv0ev2SG5qtra1x/17u8qkulwuSJC3ofWhubl5yYJhr/gpOgiDEekOSNfIz8diZkuw1drvduavIEgUCAbz22msAgCeeeAIlJaVoOvBMwQYGWZbhjQDhcBgDv+jH2BJWSVKpkDQ0pBsYPnr7HPY90oDWF/SYVCgXikQwNeXHf3v9FHZtE1C5BXjr5AeK5x0d9+GdgTuoqymFfv1mvPthv2JZ78QM3hq4hdISNV5s2YJTn/YKjronMT4uIRj8LGkkCwyyLMMzHQIA1FeUIBwMphUYPn7ntxgfvoWtDWsUyxERFaO518qvfvWrKEtyjSwUDA1zFEJgmPIHcG8k8w1DQRBgsViyOvk5FU6nE8DsPIS5DXydTpe1uQd6vT7vzzsd0dclUdCTJKng972YnJzEn/7pnwIAXn/9dWjXNKKktFSxfLYCQzAYSqmHIQLgI38I1y/dRskdN55cwrKqF08PKZZfSg/DAw9txD9tngEmL+C0dj8iWLga1N1P7mHGH0D9AwIOfOlFaDTKK0YND4/id6eHUC/U4nNf2I/ycuWLk3vcgzdPfIjS8gp84Qv7UV1TFfudRr6DcOQugqHZzecW62GIyMCZOx4AwFObanHhrV+mFRjGbn+CXU+9jMgnZxTLEhEVo7nXygMHDix52ftcYmj4VCEEhknfDF578zwikewMW9Lr9UuaM5AJ0UnY0cePbjqXq8debOJwIQ1Pig4JU+pVMJlMWXncbEm2E3q2AoMcicB1/COoInJKQ5KuX7oNn9ePA597vCD2YXjmC48BknKvgXjpDi6fugq1Ro0nn3wYlbXKr8Xw7XtwvHkaOm0dvvzKCyivSBIYxsbx930DKK8ox1deeR41tfErUZWWfvbZlM6QpEg4jHNv/Qr+NAPDIy98EWWV1RhjaCAiyjuGBhROYPjvvzmDmUAY69YWftpciuhGb9EVgOaHBofDsexVgeY3tKO7YLe3tyc9rpCGJwGzczwGBwfj7ouGmkJeOSkd2QoMkWAI05M++L2V+Pzvv7BoYHjrF074tPXYtGMDtm9R3oU9lxu3qaA8RFG8dAcf/taF+jX1CI+OQ6NO0sNw+x5+/euTEOqrUwoMv/zluygrLUkYGOYKzfjTCgz3hq5AI43h8TQDQ8Pm7ZgYU97EjoiIcmfV7tMAAGPSFE6d/QQ/+eUAdPVV2P/YVoyMT+Hu6ETCn7OX7+A/2D9AaakGL7ToMe71K5a9NHQftmOnEAiG8NITOzDpCyiWHbw5hp7eUxhxT+GFVj1KSzKX5dKZy5BK2ehyoKkcbzAYYsORXC5XbB7DkSNHFmxSJopi7HhJktDc3Lyk/QjmT/Tu6OhAW1tbQTS0lV47SZJgMpliS8UCs3NR7HZ7XLnoJnErQbYCQygQgHhqAHI4gkdf3JPSpOex22PYtGMDtI01imVzGhiSrJIUDQyNmxvwyPO7oFwye4EhEolg0Hki5UnP94auIDjtw2Mvv5J2YCAiosKxKnsaqqqqUF7TiP/x/m2MjI6jsrIR7qCA//a28lKWM4Eg7o+4UVoqoEKlxbF3lJceDIZCuHffDbW6ButqdPjZSY9i2XA4gnsjbkQi5Vi3Vof3r0RQXtOIqqoqxWOSkSQJ3d3dsQZnR0cHjEYjTCZTwoazy+WCzWaLHQd8totx9D63242DBw+iu7sbTqczFgRsNlvC46PDdqLhYP6eA21tbdDr9TCbzWhubgYw2wsRPc7tdkMURfT19aXd2DeZTLHn3t/fj9bWVnR2dqZ1jkyKvi7RHo9jx44BAJqammL1crvdcDqdcb0ker0evb29sFgsaG1thSiKaGhowKFDh/LyPDIpm4Hho1+/iemJKZTXVKFhraBYdu4qSa1fMOBekQWGl772BMTBYcWy2QoMfv80piZ9qAmGUgoM5976FYIzNVin38XAQERU5FRyEe2a4/V6UV9fD4/Hg7o65cZDKjweD3w+5aUJ86mqqgr19crDJFaLnp6etBrJKpUKAwMDS94kjjLD7XbH/gavv/46/s3f2ND4+f2oXdOQ9cAw5ZZQ/8BmvPkf/ws+/89fxramhQ3V+cuqPvDQBpzyz07s3V+pgWZOwz3VwHDx9BD6/vNb2Pn0Qxi/ObbswKCWw3h8/BQA4LR2P65dvhcXGDQlGly9fAtv/fjX+GZbK/Y89mDs2GwFhsmJKfy3//pbnL0m4Zk//BEe3v+SYtnosqoTkhvTez6P8qpqPLe9ARr1wlC0WGCYGLuPsVO/RHfXN7FhQ/J9MIiIisXca6XL5crbROh02tarsqcBAOrr69kwL3DFth8BJZeLwLD3y0bcv6X8DXyifRjCCt+bpNvDEJoJ4PbFW3j8xUcz2sMwdPkOPvzt2bjAoCSbgeGXvziBQCiE6uoqlFcv8vf4dFnVx17+Ks5OKF9m2MNARFQ8Vm1ooMLmcDiWtDpRMexjsNJVVlbG/naVlbPBwO+dxLX3nVkPDHVrGxVDg9LGbSoAD5SqY7eB9AODeP4ThGdC2LR7c0YCgwwVblVtw51PRvHBb8+gcXNj/gNDMIQXn3sE//W1C4pl52/cVtOwFvqyaQDA/KeZTmAoog5xIqKUJLpWFjqGBipILpcr5fkMDocjNkHYarVCFMUVMfa/WFVWVuJHP/oRAGB4eBihYBAX3jiBal191gODkmQ7PatVKmwuTX9IUtTAiYu4c2UYmvIS7Hhsa9KyKe/0rFLj5HUVPvztzYIJDF/5yrPweScUyyrt9LxVWPj3TiswQMbY/Xu4d++eYpls4DBRIsqmudfKYsHQQAUpncnLRqOxIFZHosTcI6PQNFQXZGCYb6mTnjc+uAGDrumkZZcz6TlZYBhze3Dqg4+zHhh0DVrF0KAUGBJJt4fhyqnf4eyZ0/jX/+bfQ7fIztCTXg8mvR7U1NWjpi55g983NQnvuBuV1TWoE7QL/h6NtVX4buc3GRyIiD7F0EBEGRUIBGLL5e7ZswcqtQp7TM8XbGCQZRmTkdlvtM/8/RncXsIqSVW1FRh0Ke8KnW5g6P/tAB7cXounP/8wppPsGxMOR/BB/2XoH1iX9cCgJFlgkGUZEzMhAEBteQnkSCStwHD1w7cwfO0i5PIqaA2fQ8OGzYrlb106i9u3B7D1kWexeddexXIAcP/6FdwceA/rmx7H9sefgmre4rU+zzhGL74Ln8/H0EBEWTH3Wmk0GlFWpvz5XSgYGogooyYnJ/FHf/RHAGZXT9KtWYOyygrF8tkKDKFwaj0MEQBnp8O4ce0ucPUO9i1hWdWLpzMXGD78rQvrt+jwz5+RofKdx+ny/YhgYU/D+IgXM74gajalttNzrgMDAERkwHV7dsnpZ7YKuPze36cVGO5cvYBtj7XCM3YflfVa1DasTVj+k3P9uCdewq6nDuCBR1sVzwsAw9c+xs2LZ7B97xPY+cSLin8Pf9KzEBEtz9xrZT5XT0oHQwMRZZVGozy0JluBQZZlnH37YwSnplMaknTj2l14x7x49rk9BbEPwwuvNEM10a9YdvjWGC6cuAiVWoX9T+4uyMAwlxyRcfHdv8f4nfQCw0P7X1YsF/XJuX4MnTmF7fv2pxQYLp96Ext37kkaGABg2s/YQEQ016reEZqI8idrgSESwcykH94RKaXA8N7fn4V3zIv1D6zF7se3Ja1zrjZuSzrp+dYY3vnZByivqUBFVRnKSksVy2YrMERC6QWGkRvXMHbnRtqBYcOOhxXLAtkLDOPDNyGNjSQ9HxHRasOeBiLKuWwFhkg4jE/6P0IkGMKupx5KadLz7at3sP7L+7Fmg5C0zjkNDHI4YdloYKjWVmPb3m14X7yteN5sBYZgKIxL7/ahsroaDz/3RahUKkyM3VcsO3ztMvyTXrQ+9gTKKqsVy8qQMXT6JO6Kl7Gj+RnUaBsxMXYfPo8b4VBoQflsBYaxW0O4dPJNrCmSJRCJiHKFoYGIciqbgeGC4x1474+grKYSG7YmHv8OxK+S9NgLj8BTSIFBwdzAYGx7Cjc+Sdz4BrIXGKQJHyalccgfH0f97kdx+52fKJaVI2Hcun4d7g1Po6ZewP3+DzCKiEJhGfduXId33I21mzbDfVaC++zrAAC/V0Jk/DpmfFOx4tkMDOff/g20GzZDwJRiOSKi1YihgYhyJtuBwX3jNra17sONq1cUy85fVvWhx7fhlD/xN/tAeoHh5tVh3Lt6N+uBIR9zGGamA3jn3fMoVUfw5RcewGPNDyiWDYdCeOt4P3yaCeh2NqJeqMOXBC1KVAk2aYtE8N67p+EL38PLBx7CQw83xf367k0/hgeDCAVmAGQ/MDRsegBb9jRj/MPXk56biGi1WbWhwePxwOfz5bsaCXFTIVqJchEY9nzuBUhj44plE+3DEE6y23A6gSEcCGLo9HU82NyU0cBw99YY3vm5M++B4Ve/eBuTU9OoqijFAw+sgU5IfO5QKIS//7UTkjSBL36uBadrZ/922vpqlKrjX2s5EsHv3vwQd26P4uWXHsMjjz204Hy+8c9W3spFYHj4uS9gShpLem4iotVoVYYGj8eDf/WDf40pOQy1WnkueCgYhHtkFCq1Cro1a5KuAhMOh+EeGYEckaFb04iSJJMTI5EIxkdGEQoFoV3TiLKy8rjfN1bX4rvf7mRwoKJUWVmJL3/5y7HbABDwT+Pim+9lPTA0PrBZMTQobdymArClVB27HZVOYLh17S5C00E0bG3MSGCQocKdyi1wj3hx4rV+VGtr8h4YJM8Unmx9CG84ziiWnQ0M7+HOsBsHXjbggR1bEJic/XuoVYkDw9Wrd/DMM3sSBoa57osXMeMdz3pgUCf5nCciypRE18pCtypDg8/nw5QcRvX+PajWJm6Y+72TuPDGCWgaqrHH9HzSdeYD/mlc6DuBcHUZ9nzueVTW1SiWDQWDuHj8PfjKZDz8pZdQ2xi/Lu/UuAejH15c8qZCkiTBYrHA4XBAFEUYjUbo9XoIggBJkiCKIpxOJyRJgvzpN6wOhwPt7e0YGBiAXq9P+zGVjpckCQAgCELa51yJenp6MDg4CKvVmlJ5h8MBl8sFABgcHERTU9OCnbJTKZNrlZWV+Mu//EsAwPDwMMLhMC70nUBJWVnWA4OSZDs9q1UqbC2Nb1SmO4fh+rnr0JRq8PCTOzLSwyCr1HCNVeOd184XTGD40peegnvMo1h2fmDQ75wdvvRI7cIQl25gmJ6ewd2rH8Pw+a8zMBDRijD3WlksVmVoAAC1Wo1qbT1q1zQs+J1P8uLa+05U6+qx9yumRXeyvfjmeygpK0PLP/wHKTWIwsEgnnj1FcUG0XJWBxcEATabDT09PTCbzbDZbAuCgCRJOHDgAERRhF6vh06ni/13KZSOdzqd0Ol0MBgMS34+xU4UxVhIOHbsGA4dOpTScS6XC5IkxQWApqYmDA4OwmazpVymELhHRhCuTv3/j1wGhkSWMum5YfMa+Lz+vMxhmJiYhPOXl7MeGDZsWqcYGpQCQyLpBoZz50XMTAewfufDDAxERHnEfRrm8UlenPllH0rKSlMKDNnamCqbBEFAV1cXRFEEABgMBgwMDCy5R0Dp+N7e3mXWtPjp9XrYbLaE4S0Zm80Gi8USd5/RaERPT09aZfIhHA7jxIkTOHHiBMLhMOSIjD2fe75gA4Msy5iKzP44l7hK0kMt+gwHhlPYuLYMX/n6XpSXJxnqGJbx/geXchIYlCQLDLIMeIKl8ARLIcvpB4YPT57Bxcu3UV5RhrX65H8PBgYiKibzr5XFgKFhjkIIDJFIBNKYe1nPIxVGozEWGrLB4XDkvfFazEwmE4xG47LL5IPH48E3vvENfOMb34DH44FuTWPyIXtZCgyRFHsYIgDOTIfx68v3cNk1uKRlVdUZ7mGo11Xhf3upDI/PXIBaYZnSCcmHGX8ApSWFGRgAICSr8NvRLfjt6BYEw3LagcF1ZhC7H9qEiorypGUZGIio2My/VhaDVTs8ab6CCAzhMC6f+ADh6eUMUFImimJsnoMgCLHgYDab4XQ60dvbC6PRCJfLhY6ODoiiiOPHj8fCRX9/PwDEjclPdLzD4Yj1MnR3d8e+YZ97XHQsviAIGBgYgNlsXvIwJofDAYvFApfLhb6+vrgx/oIgpDyHoJC0tbWhra0t7r5jx47FPZdUyhSCZIsCZLOH4cLJK5gc9aQ0JOnOJ6MYu+NGc3MTmp/L/z4ML//eE9D4XYpl3aNenHvrAgDg6f27CjIwzCXLMt5+qx9imoHBsK8JG9fr8M5p5T0pshUYAjMzSetIRLTaMDSgcALDBcc7kG4PY0vDwnkWmTC/ZyHamO/r64u70EaHG6lUKthsNlitVgiCgLa2Nmi1WrS2tsYaq3q9fsHxRqMxNkymq6trQRiw2+3o7u7GwMBA7D6tVrvkidhGoxHHjx+HVquFzWaLGxZlNpthMpnQ19eX9nkLgd1uR39/P1wuVyyULaVMIcpWYABkBKamMfLJPez/UsuigcH17iWMBWQ0bNTBsEu5kQzkbuO28nKN4uQm96gXb9pPQlOqQUV1GSoqlBdpyFZgCIcjaQWG69dvY/zaMJ5LMzA88dQ+3Bq6oVg2W4Fhwj2K8VHloEJEtBqt+tBQSIHBfeM2HnrhKUQufLKs5zRXtMEvSRKOHTumOM8g0XwGQRBiP1EtLS3o7+9f8A13OvMhOjo6cOTIkbj7Dh48CKvVuuQJvNHHN5vNcfdbrVZotVrY7fYFdZ7LbDanNVzLbDYnPV+mRHsT7HY7LBYLent7FwSrVMoUmmz2MNw6exHhQBBNhqaUJj1fcQ2i4fMt2PiAch2AHAaGijJATjy+NRoYSstK8OCTO/HBf7qreN5sBQZZlnHq1EX4p8MpTXq+fv02xsYm8IWnHsYjj+1ULAssDAzJZCsweEfv4eN3fgNtkh4yIqLVaFWHBr93EtfedxZMYNjzuRdQXlWJ0QyGBovFAr1eH1v+NF2trfGrlSx3+dToij/zex+am5szsuLP/BWcBEGI9YYka+QX0mpDibS1taG/vx/Nzc0YGhpK+HdIpUwhyGZguPLOh3B/cgulVRV44KFNSesRXSXpwdYdCBRSYFAwNzAcaHsaw8PKG5BlrYchEoZvOoSRUS+++spziwaGt99yYsy/F1u3rMGeRysAKC/yUCiB4azj56iq10FbFkpaByKi1WbVToQOBYO48MaJggoMyYdcLI8gCAtW2skHp9MJYHYegt1uj/3odLqsjcXX6/VZnfSdKyaTCZIkJZ1gnkqZfMp2YBi+eBWb9j6M0iSNbyB+WVXDs7uSlk0nMNy7OZqTwFBTp/x5lc05DP3OywiFI2ht3pHSsqrXrg1j65Y1WLsueSgrpMBQLTRg9zOfS7rxJxHRarRqexrcI6PQNFSvisAQpdfr8zZsJToJO/r40U3ncvXYi43zL7ThSVqtFl1dXXF7MER7UQYHB1MuU0hyERgeemE/pnzJFxKYvw9DOMkSx+kEhnAwhMunruKBXZszHxj+7sO8B4a///V7GB2bRGV5CTZtXqNYdu6yqk89/SguJ/k7A4UXGB57+RX4J6Sk9SAiWo1WbWhQqVXYY3p+1QSGQhDd6E0QBLhcrgWhweFwLHsSr9sdv1xtdBfs9vb2pMcV0vCk6FCy+a9PNNQ0NzenVCZfKisr8fLLL8duA7M9e7kIDBt27cA11znF8ok2blMB2Fiijt2OSquH4fYoQv4A6tfUZyQwyFDhXsUmTHh9ePPnH6C0rDRhYIhEIpiYnIZbmoJv0oc3/v4UgqEQTKYnAE0Z3NJUwjoEpgNwvHESHq8fBw40o7y6RrFsOBTCW8f7cfe+hF0Pbsap/iuKz23+Pgy7H90JfNoAV6sWhrN0AsPYrSHcHLub9cBQUpa8l4qIKBMSXSsL3aoNDbo1a1BWqbzqyEoJDOnMZUilrCRJiuXm328wGOB0OmEwGOByuWLfzB85cgQWiyXum3pRFGPHR3estlqtaYeI+asHdXR0oK2trSBWFFJ67SRJQnt7O6xWayxUHTp0aMG8D5vNBoPBENtVOpUy+VBZWYm/+Zu/AQAMDw8jEong4vH3EA4Gsx4YklHa6VmtUmF7WXwDNN05DNecg1CXqPHI87sy0sMgq9T4yKfDmz+/rBgYgv4A/DMy3vj4Lt697oF49RYi4Qi279yEX52+BeBWwnOHgyEMXr2FQCCIbfoNeOPje8DH9xKWjYQjuD54C76pGWzeuhbjYwGMBDTwTwcX1llh47Z9dYn3nUknMMzMzOD2xy7sedbEwEBEK8Lca2WxWLWhQaPRYGo88WYaAf80LvSdQDgQwp7PPY9wMIiJkcSTDkPBIC4efw8+yYOHjc9BpVIplo1EIrh84gNIt4fx0AtPobyqckFZpTqlSpIkdHd3w263A5htNBuNRsWNwFwuF2w2W+w44LNdjKP3ud1uHDx4EN3d3XA6nbF5CTabLeHx88OBJElx34i3tbVBr9fDbDbHvhHX6XSx49xuN0RRRF9fX9qNfZPJFHvu/f39aG1tjRu+k2vR1yXa43Hs2DEAQFNTU6xebrcbTqczrpfEarWip6cnttO2KIowGAxx8z5SKVMIxkdG4SuT8cSrrxRcYEhkKZOeaxvqMCX5oEkyDj7TcxhCwRDk8lJg12ZcPX8T4YZ6PPY5A+oa6hXPG5wO4Mxv+zFTW4WHD+yDbqPy3yMcCuFsnwuT5eXY+fI+bNixGXevDyM8dA/BYPzqTkvZ6TnVwHDt2i1M+wN4YPN2BgYiojxSyXKSAb0Fxuv1or6+Hh6PB3V1yt/8L8bj8eCHf34Yo1MTC34XDofhHhmBHJGhW9OYdGOqSCSC8ZFRhEJBaNc0oqxMeddSWZYhjbkxM+2H0NCAiiRdUY3VtfjutztRX6988V8Nenp60vrGXKVSYWBgYMmbxFFmhMNhXLgwu/GYTqdDx7/8F9j6ykvYuFt5uc1MBoZrrnP41b/9K3z+n7+MbU3rFg0Msixj5tNPwcEz1/HRElZJWrdtDX73X9/BF///Jux8aGHd0w8M70OoUuGFV55EaX09kKAeH/VfgeM/v42aDQJKykrQ/Mp+1K8RFM8b8AfQ//P3MO31Ye+XWtG4Za1i2XAoBOcvP4D37jh2v/QYNu/aCgC4dfUmzv/kTfzvbQbsfXwPgOSBQZYBX3j2u6kqTQgqVXqB4fxHl9HX58QnIyE8/y/+Ck2PtSiWzWRgmBi7j7FTv0R31zexYcOGpHUkIlqKudfKPXv2QJOn3enTaVuvyp6G+vp6fPfbnfD5fPmuSkJVVVWrPjAA6Q2tosLh8XjwyiuvAABef/11aNc0orZRp1g+3z0MEQAD02GMDEvwvXMBW5awrOqVc0k2IFtCD0NluQbfNJWhLHIBp7EfESy8mEz7gwj7AwgHQ3iy7dmsB4ZEFuthCMkq/Gpk9vjfWzeE06dOpxUY3nvvAh7Y0oj7k1LC4BTFHgYiKjZzr5Uul2vBkvGFaFWGBmA2OLBhXrgcDseSVieaPxGa8i9ZD1w2A8OVMyJGPxlNaUjSyLCEu5/cx+4HN+HZL+zL+z4ML/3ekygLn1UsO+n14+J7lwBZhv6ZXQUZGOZzfnAWZ9MMDDt3bsQO/QY4L32gWDZbgSEUXDhvg4hoNeNC1FSQEq2upMThcMRWR4qO86fCl83AEPBN4+bHt1IKDBdPX8fdT+6jrqEOz3x+b94Dw6LLqnr9OG5/H+FQBJrKMlTXVSuWzV5gkNMKDLdv3cXps2LageGll5+AOg89DP5JD9yj95PWk4hotVm1PQ1U2NKZvGw0GgtidSRKXTYDw/0rIkLTAWx5eHNKk54/eucC6l7ch6071hdOYJDDCctGA0MwEMLupx/Eqdf6Fc+btcAAGefOifD5QykHhuG7bvzeXj2eeOqxpGXnBwZVkonl2QoMPu84Lpz4DWpU/E6NiGgufioSUU5lMzBcHziHuxevoqSiDA/uS95TFV0ladODmz4NDMplC6mHIRgI4eW2p1CdpGy2AkNElhGcCeH2sJTykKThu25sWK9Dy5N7k5YtlMBwpu9n0JSUQbdG+TUjIlqNGBqIKGeyHRiG+s9g/e6dKKtS3oMFiF9WdXZIknLZdALD+Ig3J4FB16i8wkU25zBcH7iGcCiC3bs2pbSs6umzIjas12HT5vVJyxZSYCgpLccjz38hbyuZEBEVKg5PIqKcyEVg2N66D6EkAQBYuA9DJEnZdAJDJBTG+bcvYM3mRjz/SgtUaiAQCCQsOz46gRM//xCashI897VWlFVo4sqq5TDC4dkhSm63F2/+zIlwIITnv/YEauoqEAgEEA4tHMKUzcBw+g0nJu6Mo7RMg23bkoeA6LKqj+/biRtFFhj2mb6GGV/i3bGJiFYzhgYiyqiysjI8/fTTsdvA7J4muQgM25ofxTXXOcWyiTZuU8ky1pfMNlTn5o10AsPYiAdB3zQimno80LoJt0cS77AMABNuH869dRmaUg32Prsd98dHcX88vowaEZRBg8B0CL9yvIVAIIJHX3wI434Pxm/ObgA54pYgyzIin261k+3AMCbew/qHN2Pk5KRiWSB+H4bm/XtR5p2trzpBmEsnMHhH7uDWRx9kPTCUVVYzNBBR1iW6VhY6hgYiyqiamhr89Kc/BQAMDw9DlmVcPvEB/JIn64EhGaWdntUqFZrK4lu06c5huPT+ZUCtgv7pXahuVP5m3TMm4dzbV6ApLUHzl59EZV2VYtmPvDUY6PsA4ZCMfV9uRX2DEPd7dbk3djsXgUG/fxfKayswcvKSYvmFG7fJaK4fS1g2ncAQDAZx/cxJ7DQ8k/XAQESUC3OvlcWCoYGIskoac0PCDAxf/2LBBYZEljLpuby6HJqKMpRVlEOjsIu8Z0TCmdcHoCktRevXnkJVkqVSfd4pDLzej3AoguZXnkq4D0N0KdJQIJiTwNBk2IlbV28qlk93p+dUA8OtW/fg801jw5oNDAxERHnE0EBEGRUOh3HjxuwOyaWlpZiZ9uOhzz9TsIFBlmVEt/G6eXkY/UtYJalJr8eJm6OKZT0jEgZ+cQqa0pKUAkP/z99HaSSIJ155ApWNyptQypAx+N4lqIGsB4ZklAKDLAMzkdlAUK6OQKVKLzCIVz/Bqf6rKCnR4IHHnmRgIKIVY+61cuvWrUWx+AJDAxFllMfjwUsvvQQAeP311yE0NEC3eYNi+Xz3MEQA9PvDGB+dxMQbp7FmCcuqXj53XbFs+oHhJFShEDq/WoPyKhFvQYswFtYlFAoj7A8i6JvBE23PFlxgAICQrMJr97cBAH5v3RAun7uUVmA4/qYLa9fU4d7EFFRqBgYiWjnmXitdLhd0Ol2ea7Q4LrlKRFlVUam8lGg2A8Mnl2+nPCRpfHQSt68No2FTZvdhWEpgCAdDMHzlCZQnWTY24A9g6MMrQETGA0/sLMjAMN+Fc1fSDgwbN+jwzNN7kv7tshUYoqtXERHRLIYGIsqLbAaG4HQAg67BlALD0OVh3L42jKq6Srz4SkveA0PzK/tR3ygolo1Oeg76AlBXlKJ2jfLwpUIJDPfvjeLkyY/TDgyf/9Iz0OShhyE47YN75H7S50REtNosaXiSw+FAX18fmpqaIEkSAKCzs3NJFZAkCRaLBYIgwGq1LukcRFRcshkYxj65haBvGmsM21Oa9Nz/xmlUPb0H23ZtKozAsEYA5MTfcs9dJWmLQY/BExcVz5vNwHDl0k2MSVMpB4YbN0fwuR0b8NLLLWkFhpIS5UtUtgJDwD+F8yd+iwo52Q4eRESrT9qhwW634+jRo+jt7Y3d53A4YDKZ0NfXl/J5LBYLRFFEa2srHA4HjEZjulUhoiKUzcAwfOkabp/9GJqyUux56sGUVklq2NKIyl2boE60kUD0vLkMDArmL6vqHZEUy2YzMAQDIVwbuo8DLz2W0pCkGze3oqGhFi880QpVkte4UALDmb6fIxwKQNeoPOSLiGg1Smt4kiRJ6OjowJEjR+LuNxqNcLvd6OnpSflcVqsVvb296OzshCAI6VSDiIpUtgPD5bdPQffAZpRVV8SWJE1k7rKqL77SkrHAMOWdyklgyNcchpvnbyAUDGPH9rUpLat68uTHaGioxbZtm4qih+FM388RCs5gz/NfRInC0rlERKtVWqHh2LFj0Ov1CRv5r776Kmw2W6bqRUQrTC4Cw4bdO7F57+6M78OQSmCQIxGI711asYHh43c+wtjgMEpKNXhw15akZaPLqu7YsWE2MCT7exRYYNhn+joqa5TniRARrVZpDU/q7e1VXBJKr9fD5XJBkiT2HBCtYmVlZWhubo7dBmbX689FYHjwuScwePq8YtlEgSEiy1hbMvv9ydymbXo9DH6E/YGMBQYZKgxrGhEKhND/q5OY9vrzHhhuffQJGpo2wOOdSlp27j4Mz7/UioGJSQBAos6cdAKDz+PG2QvOrAeGqjotJsY4CZqIsivRtbLQpRUanE4nDh48mPB3er0eACCKIgwGw/JrRkRFqaamBn/3d38HABgeHoYMGeIHpyHduZv1wLCUHga1SoWdZfHHpRMY3KNeXHz/CqBSYcfTD2WkhyGiUuNMeDP6f/lewQSGzY89gLr1WnhOX1Msu3DjNhWeFEYSlk0nMIRCIYgDJ7Dlob1ZDwxERLkw91pZLNIKDan0IjA0ENFc7vujGL49hd3G51CzaT0mPv3mOZFbZz/GDdc5bDU8ioYHtycte++KiMH3nVj3oB4b9j2MycnZb8D9fh9kWY4rm60hSe5RL960n4SmRA1NZRnKkuytkK0hSZFwOCeB4eHnHsOtqzcVy6a703OqgWFkVIJvyo/G6noGBiKiPMrYjtDRMOF2uzN1SkVerzfu3+Xl5SgvL8/64xLR4sLhMDweDwBgfHwc5864UPG4Hp+MDuGT0SHF40YufwL3tVvQ7diMkqlh3Hl/WLHs+CfDGDkvonbzWmhkHcZOvjnnd3cRCAQQiswumblYYJBlGdHFNe/dduPdNANDaVkJdj+zC+/ZTyqWTT8wvIvQpA+GL7VAu3mNYtnZXpwrCPuDWQ8MySgFBlme3RUaAEpUMlSq9ALD8O17eOe9C1Cr1dA3P8PAQEQrxtxrZX19PTQa5S+zMmlmZgYzMzOxf89vUyeTsdCQS1u2xE/C+973vofvf//7+akMEcXxeDyx3sb/9J/+E0rLNXjcsAkN66sUj/no5GV4B6/jIYMejz31UNLzX/3oE4gXrmLLQxvwxIHHFgxJujapxqAsQ46EU+phiAA45Q9jwuuH57UPUZNmYDjQ9jTEy8rfwC+lhyE06cO/eqUaVXU38BbWIIyF9Q5HZESmg/C7J7H3S60FFxiA2cDwP+5tBwD83roh3Lx2Pa3A8Otfn0RtbQWqatRQlzAwENHKMfda6XK5FOcMZ1p3dzd+8IMfLOnYjIWG6CZvuXjSN2/eRF1dXezf7GUgKlyVVRWoKC9BTVXiRt/AiYu4fvY6Hn7iQTQ/vzvpuT52DeHSyUt44OHNihu3lX+6VOa9m6O4df5WSkOSJrx+3Lh0GxuFahj/4f60AkNNXaVi2aUOSTJ8qQVVdTcUy4ZDIVwfuAY5LGPj3m0FGRjmG7p2A2//Lr3AINRXY98+Pa7+9wHFstkKDJEIN3cjopWnq6sL3/rWt2L/9nq9C76MV1KUPQ11dXVxoYGIitPAiYu47LyGh1p2pBQYzr59Hpsf2rToTs/hYAiXT13FA7s2Lz6H4bYbN66NoLSiFC//Xv4Dw94vtaJxcwMwnTg0RCc9T0tTUJeXoGFLkuFLBRIYxt0SfvfeaWxOMzB8+ZUXMDJ8V7FstgJDKBjE+ChXUCKilWc5Q/rT2qdBr9dDFMWEv4vOZYiuokRElEy2AsO926MI+QOoX1Of0qTn9177EKUVpdA/vAXlFcobeuUsMKS4StLGR7ZCneS5ZTMwXL9+N63AIA4NY8P69ANDsgCXtcAQCODie28gFAwqliEiWo3SCg0GgyE2DGm+aJjgyklEtJhsBQbx0h1ccw5CXaLGI8/vSm2VJKEa+oe3oKRE+eOw0ALD7pceg3aD8lDQbAaGUDCEi5dupzwkSRwaRm1tJT73haeKIjB89OYv4PO4oW38/9q70+Cm7n5P8F/t3i3LG16wQQabHWKDgQBJADt5kifh8tyGpKZmurrn9gSqpqqrprtncGVq7lR3dc19Bmq6pmb69nRDbve86Ll1O8H3efJkT2xIAjGbbQG2wavkfbelo10667xw7GCsc5DAR5LN71PlKoN+Pj7WOZb/X/03+WtBCCEvo5iGJ9XX1+PixYsRH7Pb7airq1uVkyKEqMPtdiMQCKj6PZxOJ3ieBwDMzs5CEJaPDVczMNz71obM3Cz4mQB0Co3ZJ5dVPf7nh3BfWp3AwAZCcdvp2WHri1irZmCYHpgAxwooKcqNalnVH358iMyq09iypQw6/TAAKWJtMgUGPzOPHcfeBtsnvxoWIYS8jGIKDe+//z4aGhrgcDhWDENqbGxcESgYhkFbWxuFCUKSgNvtxv/0v/4v8IksjEb58YySJIGZdyIcCsKcm4uUVPlGsgQJHheDoM+PLEsO0tLTEQwGwXgWlpH7+NO/w7TLDY5fCA5qB4a80lwUbsrHtGNatvbpfRj0JgMQFCLWxhIYJEnCwK1e6I361Q8MX7bFZR8GJXZbP6Yej0Gn12L3bmtU+zAUFeUja0sZtEoBLskCw96609BoNJiXrSaEkJdTTKHBbDbj448/RkNDA65evbr0/42NjbBarThz5syy+rNnz6K5uRmXL1/GuXPnZI/LMExc9ncg5GUWCATgE1lkH92H9JzsiDWiKKL3xl0wCKPqrSOwlBbJHk+SAMfd+5ieCaDijf0o3LIJAMAGgyhoawUApOyrhPDIBp4X4hIYjp+uRV+n/KpDkTZuEyUJubqF4z/5XWIJDKEgByHIQuB4HDxz9IUDgwQNZnQ5EAURrV+1wjPFJDwwOO70ILM4B363FxqtwvV4Yh+GurcPo8230LMV6UtiCQxhvycugSErrxDeeZoETQhRl9FoxM6dO5c+XwtiXj3pzJkzMJvNaGhoQEVFxdIch6amphW19fX1aGtrw/79+1c8dunSJbS2tsLhcCx91NfXw2w244MPPlgRQAghL85oNCE9JxuZ+bkrHhMFAY+abyLIuFH9u7eRV14qexxJktB38x6YiSnseecEirZtWfb4P7q80Os4YOsEAPQ9cGBueE71wPA8Oz1rNRpsMy3/ulgCg88TRHdLDyBJsB7Ztio9DKJGiwfazWj76m7SBIZcayHyrBvwuFt+T4qVG7fpcCQncgM8lsAgCALsrTdRWF6hemAghJB4yMjIwFdffZXo04jJcy25WldXF9WQowsXLuDChQuyjxFCksNiYHCOjGPnm69HFRgmu/tR9fqhFYHhaWwghNHHY9j3+q6kCwyRxBoYrjXegsCL0KUakZ6l1Jh9sTkMcsQ4BYZX3tyPcfu4bG2sOz1HGxjcHi/8/gDMBj0FBkIISaCYVk8ihKw/agaGmT4H+BCLjTtK121g4Fge21+tVBzjr1ZgkCBhxOaIS2CIZg7DagcG57wLP97sggYaVOx/jQIDIYQk0Jrc3I0QsjrUCAwBtxuX/6t/Cp5lUXZgD/QpRlTuU96/JZGBQZAk3AkKCAZYuP7+DowxBoYTZw5jbFB+A7LnCQyBGSf+53dTkJU3hR+lEgialT+jCAlimIdn0ontx/cmZWDgRA3+ML0ZAPDnhYOYm5yKKTB88cXPMOr1SM9Ig96ksGoVBQZCyBrjdDqXtimw2WywWOSX0U4W1NNAyEtKzR4GnmXBh1kUVlphTEtRrFUrMLhmPVH3MAQDLAYfj8bcw3DizGFY8uR3p3/eHoZtr+9GVl7kyerAwhyG0Y4hiLyAwu2lSRkYnjY1MRN7YDDo8cZruxVXX1IrMEhS5OVhCSHkZUU9DYS8hNQMDMMPHoMPs9CbjMitKAeuydeqFRhEXkDXT4+QX5qH107th0YLsCwbsXZuzgtH/yy0Oi2OnNoPY4pOttbnC+HHP9yFwPJ47XQtMrJSwLIsBH7lkq0vNCSpqgQIRZ5AvDjp2Tflhs6oR+GWYtnjAskRGLxeH769cQeWGAPDe6deAzMnv/ipWoFBFEUwzjnZxwkh5GVEoYGQl4woiqoFhqH2TozYuqA3GaF/xhJyagWG+Vk3uEAIoi4b5QdKMD4rv2eD1xlAx40+cK9UYUNZDmaZOcwzkWtDfhYPr/dA4ATsfqMKrqAbrtGF/ShmnQwkSYL4y7vTLzyHQYq8b8STqyQVVBZh/MGw7HEB9QLD5OQ87o32RR0Y+vvHUJOVjndPHY0pMGRkpsuGBtUCgyCg7+4PEIJB2RpCCHkZUWgg5CUiSRJ6b9xFkHGrEhgGWx+grHoXHjfdVKxVcw5Dz61eQKuB9dVtSM/bIFvrnmfQ+VMfdEY9iitLoTcZYJBSI47ZDHoCeHi9EwIvYt+7B5Cda172uNbkWfpctUnPT62SpIGkGBrUCgw8L+BhxxB27SiPakhSf38YKSkG/PbEMZhSDLK1kQKDHDUDw+Ob38I1OYay3HzZOkIIeRnRnAZCXiLMvBPM+KRqgWHzgX0o37dDsVbtSc+mdBN0KUYYU0zQGQwRP3yMHw++aofOYMD+P3sVxlQTtFotdPqVteEgi/avWiHwImpOHYZlQ/6KGu0vPwPPcnEJDImawzA/Ngc+zMNiyYhqlaRvv72DlBQDKis3wWiKrYdBjtqBYX58GNsOn1DcCZ0QQl5GFBoIeYmEQ0FUvX5YtcCwqWa3Ym08VknacWSb4nHdswzaP78DnUGPA6cPI02hgRrw+NH62W0IHI+aU4cUN26TIMHe0rNuA8NYzwjG7jug1WlRU701qmVVs7PSUVm5CXqFa5dsgWHX628jp2ijbC0hhLysaHgSIS8Rc24uLKVFso+vRmDQ6YywlBX/8vmvjcV4Lava2zkkW7siMGSlQ5SAjAinEktg4HkBQpADFwij9szRFw4MEjSY12ZDkiTYmmyYd8wkPDB0/9CBVEsmwowXOp3CfIcn9mF4+71jaAuGAQDaCM9xLIGBDwfjEhhySzfDOx95EjohhKwWo9GILVu2LH2+FlBoIOQlojTkYrV6GEwZqfhH/+F/BwAM2DoBAMO945joHU/oxm2RAgOw0Jgtx/LlNWMJDGyQxeC9PkCUUF67dVV6GESNFvcNW3/pYUiOwJC1IQcbtpei2zEpW7ty4zYDXkuNvIdFLIFBFEXY227AnL9B9cBACCHxkJGRgebm5kSfRkwoNBBCVB2SxIVY2G12bK2uSLrAEEmsgaH1sxZwARbaFAMy8+X3VlirQ5IWA8P+9w5icjCWwLA6cxiCwRD8vgAyOD6ugYENhzE9Lb/ylhrS0tKQnS1/DxFCSCJRaCDkJadmYJgfHgMXCCG/evO6DQwhTwAbq62w3+iWrVUzMIx3DcM7yageGHRRzGFY7cDg8/rx441OSJBQceBY3AJDOOBDR0cH/urf/Q1SU1LhYVwI+n3IyrEgLT1D9rgA4PO44fO4kZGVjYws5QAQ8PvgcTmRmp6BLHMO8rPS8ZcX/hkFB0JIUqLQQMhLTI3AEHC78fE//B8gsBxKqndCZzRg5+HKpA0MogT0QgM2xML1+R2IMQaGve8cgGeWka19nsDgHprCv3jLBEuxGzclAYIm8vMhsPxCuDhYmZSBgRM1+NNMOQDgzwqG4XU5YwoMX3x+AyzPIz09DaZ0+Z23V3tIEhcOISRqkLLtVXimRjEVmMeW/fUo2FQpe1wAGOt5iPHxdpTtOorSbXsVa2eG+jDa3oINFa9g8yuHEXQzmOv+GYFAgEIDIS8Bp9OJ2tpaAMC9e/dgsVgSfEbPRqGBkJeUqkOSgiFw4TBySoswMTy0tCRpJGoFBr/Hj74bj6LqYQiHOYz3jiGF47E/xsCQt7FANjQ8bw/D1kNVyC92AxBl6yd6xyFyPHKthUkZGBYJ0sL3cjld+ObLGAMDx+ONY7vwt396JFur1hwGSZIwO9SPIDOHPSfeQ9EW5aWEhztbMe3owbbDJ1G++4Bi7eTAY4x2P8DmvbXYWvsGNBoNNNCAtpMj5OXC83yiTyEmtOQqIS8hNQPDVP8guHAYOoMBRbsS08MgiSIcLT3RDUny+jHeMwpJEFH97sGYA4OcFxqS9Iry9Xh8swPOoRloDXqU7CpXrE2GIUnBYBBffXUr5sDw3ntHkZ2VKVurWmAAEPS6MTs8gKpDJ6IKDIMP7mDzvkNRBYbeO9dRvHXnUmAghJC1gEIDIS8ZSYJqgWGyZwADP7dCZzDAYDIBSEQPQxBCkI16DkPb53cgCSKKqkqRnWeWrY1bYIhy0rNlUwF0RuXOYrUCg3PeG1Ng6O0bea7AYMmN/ypJkiRhtKsNbCiI8r0HKTAQQsgvaHgSIS8RCRIcd++DmZhSJTD0/nQHhZVbYDDdVKxVKzA45zzovtUHaDTY8mpVdJOeBQFFVaVISUsBnlp6dVGyBYbSPeVISU/BTPe4bK1agUEQRLTZBmDdVPjMwOByutDbx0Kn1eK37x5FRmaabK1SYBAEEQGPa2n/BJ7j0N3yPQJuJ3YcexsajUZ2bwVRFNF39we4Jsew7fAJGFPTZWslSBi8fxvjvV0wpqUhv1z592O1AwOt2EQISWYUGgh5iXhcDKZnAtjzzglVAkPR9q3YuKcK1//6/5WtVTMwXG+8DZ1eC12qEca0FNnaJ1dJqj51CBMKtbEEBlEQ4rasqsPWJ1urVmDwzLrBhTikp6VGtUrSV1/dhq7oLVRVlSM9YxxyoUwpMARDHLigD7N3PkGo9xoEnse4vQ9cOIRi61aM3/zPsucgiQImBu0I+rzYULYZ0/eckG2SSxKmR4bgcTmRnZMDQ9CJcMAve+zVDgyLKzb9y3/z1wj5fTClpsJsyVPsjWDDYbjmZqA3GJCTVwCtwnXmOQ7OuRloNFpY8guWNl7My0yjFZsIIVGh0EBIgrjdbgQCgbh9v+npaXgYNyrq1OlhKNq+FZXHahH0eGRr1Q4MBqMe249sQ0vjbdnap5dVzcwzYyJyWzamwLDQi9MHIcit2X0YlALD3OgMhu72QaPVoLa2KrplVY0mVFWVK+52+qwhSSwnIM0o4eQeEwo2ZKD5+9soTAni5G9rUFCUL3tcgefx47VWhHQMjr2zG2XWUtlaiCJafr6PgDCNEyerkJ2Zgv/vj9Pg2XDEcjWGJHHhEDzBMIZm3SjZuhPWg8cVQ4DXOYeBm98gLbcclUfehN5gkK0N+tx4dOMb6NILsOu138CQstDjE3C7aMUmQkjUKDQQkgButxv/+t9cwpzfu/R/oijCNTsHnueQk58Ho9Ek+/WSJIGZdyIcCsKcm6u80zMkeFwMmNl5jM3PYMfGYsVze5HAoNFooNHqkF200LjWaX8NBfEIDCfPvApH76hsbaR9GEQJSI/QjotpSJIoQQxxCDp92PvOgRcODBIAl3ZhAvDjnzsx1jGa8MDw8OtWGNJN0KQaYDAozXf4dR+Gt989ChsnAAgiUls5ljkMKUYtWm60IRxm8ee/O4qiEvk5DDzP47uv28AwXvz2Nwdg3So/WVwSRfxw/R4mxudw4vge7NpThbHBEdl6teYwuGcmEPC4UFn7Gmrefh9anfzvh2duGvb2m7AUl2PPiVPQK4SygMeFgbabSM/Oxb760zCmLh+yRys2EZIYOp0OZWVlS5+vBRQaCEmAQCCAOb8XqbXbkZ6TvTBG+1oLAkYJO945jsw8+fWaRVFE7427YBBG1VtHYCktkq2VJMBx9z6mZwKw7NkC6ed5cApLvL1oYACA1MwM/MV//D8AAAO2zoXakRkMPxxWPTBkZMmHJ7mN27QaYNNTw2ZincMw1D4ASZBQvHfTqvQwiBodbKbtv/QwJEdgSMlKQ8neTej5Lzdka1du3JaGE4i8i3QsgUGUJPzc8ggSdHjnncNRBIYWTEw6cfJEdVSBob9/AkeO7MSuPVWytYB6gWF+bBADbS3QG02w1hx7ZmB42PwZ0s25UQWGB01/hN5gihgYCCGJk52djRs35F9PkxGFBkISKD0nG6nZmej4+joEjkPtB6eQVZAnWy8KAh4130SQcaP6d28jr1x+yMXisqrMxBT2vHMCANDz813Z+tUIDJHwLIee273YWFmSdIEhkueZ9Bxi/NCa9MjdKD9cZq0OSVoMDAdOH8HMmPwk3Vh3eo42MLAch0CAg88Xxtn3T67LwND10zfILiyCa3aSAgMhJGnRkquEJBDPcej4+jr8TgZ7362LKjA4R8ax883XowoMai2rGm1g8EzNgvUFkZVvXreBwTPlQvGuMmgVfjY1A8P0wERcAoMxNYo5DKscGMIhFnfudkOUJBw+tG3dBobcknJUVB9R/l1SKTAIgqD48xBCyCLqaSAkQURRRPe1Fggct64CQ8Dtxn/8x/8CAsehaO92aA167H19R9IGBlEC+qCBwAlwfX4L4edYVpUNhDAsU/s8gWGqawj/9IQOhZt5tEgCBE3k507keEx3j6F4Z1ncAoMkSvD6wnAyCysLMU4GTU33YNDrcaxuP1gBS4/xkgbNngoAQF2WHazfj++/uwOO51FfXwvojEu1T2NDLJq/vw0nE4DJqEdevvxE3bUeGHYc+w2mB3tla9UKDFwoAOds5OVnCSHqcjqdePXVVwEAt27dgsUiPyw5WVBoICRBXLNzCBilqIckrYXAsCgcCIALhpCZmwtTRir0CkMu1AoMbCAUfQ8DJ2C8ZxQGTwD7nmMfBrnlT5+3h2HT3jKUbmIBSX7+yezQNASWR1aRJW6BgQ9xCHESrvXMwjbDIRgIYrB/HFqdFtatpfjDXceyY4nQYiTHvHAOUw8w1D8MURCxeWsJvrw/BmAs4jkIHA97/xhYlkNuXg5cTg7BEBexVs3AMOPoRtjjUj0wJGJIEhv0o+vGt0iRRMWfixCinlAolOhTiAmFBkIShOc57Hjn+LoLDPOjk+CCIWj1emys3oE+W7v8cVUKDJIkYeBWL/RG/bMDQ4jFeP8k+DCHmt/sT4qN27Yf2QmE5J83u60fM32T0Op1KKu2xm1IksjxkEwGGF6pALIy0P+9DbriPOz+zX6kRti4TZQ0MHkKwYU5DPQHIOZmY8+b1cjKle814EIsHnzbinBmGnac3AeW5TD1BwYct3IYjZqBIRQKY6r/Marf+t26DAwPmj6DwLOw5Mnf74QQ8iQKDYQkSE5+nvIqSWswMMwNj6Hn+s/Q6vUwpJgAhcasWoEhFOQgBFkIHI+DZ44+cw5D2+e3wFtLsWFrMfKy5Xcsjldg2HFsDyDJjzNfnPScsSEbbCCsuJa/WnMYWF7Aox87YExPwYHTh2V33hZEDSQvMDM0jRStBrVRXA/bN/fAhTm8cvow8jYWYKw/8hK6agaGzi4HwiEWG7buWLeBgefC2Pna2wh0ra3VWwghiUOhgZAEUdqHQc3AMPmoD+7RCVUCw6Pvf4KltASGFBM0kK9VKzD4PEF0t/QAkgTrkW3RTXr2BbFha/EvDd/Iu7zFNTAoeHKVpKyCbLgcs7K1agUGSRQxdLsXaeYMxcAAAEGvHxM9YxBFEdXv1iJbYV5CLJPQ1QwM924/QHfvOEwpRhRYtyvWruXAsK/+dxA4DvHbXpIQstbR6kmEJBk1A0PQ68d4Z7d6gaGsBNveOJiwwHCt8RYEXoQu1Yh0hcbskw3UPb/Zr9jwjSUwiHFcVlWr8ByrFRgCvgCEIAetXvfMwBDw+NH2+V2IoojiylJk5Zlla5MpMNge2LG9qgQpKfKhHlAvMPhdc3EJDGlZ8qtWEUJIJBQaCEkiagaGie4BhP1+lOzerlpg2Fl3DJoETHpeDAwcy2P7q5WKY/xXNFBLV2kOAySM2Bxreh8GpcDgnmUw3DoAaDSoOFz1zMCwOAm9uLIUpvQU2dpkCwzV+yqwe5dVsVatwMBxLPpuN1NgIIQkJRqeREiSUHsOw/ijXpjS01G0s1Kx9kUCg1ang0arQ8Yva+/rtL82kOIRGE6cOYyxwSnZ2kgNVFECUiP8iDH1MECCGObhmXRi+/G9LxwYJAAe7UIj0H5/AI47fQkPDO2f34FOr4cu1QCjQgh4MjBUv3cYTr0GQBiRbqOY9sUQxLgEhtrD+zA2OCJbq1oPA+NEgHEiNdNMgYGQl4BOp0NhYeHS52sBhQZCkkA8Jj2X7KyCe25esfZFAwMApGZm4MP//H8BAAZsnQCA+RkG9ja76oHBkpclGxrkGqhaDWB9ai5DrHMYRjuGIPICCreXrkoPg6jRodW0M2l6GNo/vwOdQY9N+yvw+LuHsrUr98XIRg4mItbGEhgkSGi39QOSRvXAoETNOQx9d3+AVq/H1kMnKDAQ8hLIzs7G3bt3E30aMaHhSYQkWLxWSSre/owJ0qsQGCIROB6dPz6KS2CQ87w7PUc76dk35YbOqEfhlmLZWmBtDklaDAwHTh+GMVV+nL9qO28LIrgQD6fTt24Dw8Pmz5CaZUa62QKdgQIDISQ5UWggJIFEUVyTy6pGGxgCLjfCvgBSs1LXbWCYd0yjoLIIWoNyx61agWF+dDYugSHaOQyrGhh4HvY7vRAFEXv3bFq3gSHdnIutB16HViN/ndUKDKJIm7sRQqJDw5MISRBJktB74y6CjHtdBYag14f/9Bf/I0SBR/GuKmh0WlSf3JO0gUGUgAFoIAkiXF/eg/c5llXVQML4g2HZ+lgDw/Ddbvx3rwIlVQbc0UiQa9aJvICJh0PI27whKQODKGkwMF8CANiSOw4+FI45wAWdXuhNehQV5crWrvXAsOfEKcyODMjWqhUYeI6Da25G9nFCiHrcbjeOHj0KAPj555+RnS2/JHWyoJ4GQhKEmXeCGZ9cV4EBACRRQMjrhW/OBUNaOlIy0mBQeBdercDAc3zUDdSwKGKobxye6eTYhyHPWoAtlYVIBSe7sKpr0gkxzCPVkpGUgQEAJAlgBcPCx3P2+JS+YoVeL9/4VjMwzI8Nrul9GBQDA8uiu+V78BwnW0MIUY8gCPB6vfB6vRAE+Q09kwn1NBCSIOFQEFVvHYlrYBBFEYGAH16vD9N9DthvtaGw0oqifTvg8/llj+scnUDv9RbklBah7OAr8AeCsrUzQ2MI+4PQaLUo3l0Je6f8xFm1AoMkSej/+TG0EqIYM89jom8KYV8Q+17fnfDAkGstxL66VwD2vmztWM8IJrpGoNFpYD1YmZSB4UkCJ6Dt89sIP8cQMeg0mJSpVTMwhMNhjD+2YefR+nUZGDquf46A24myPPlrQQghT6LQQEiCmHNzYSktkn18tQMDy3JgXC50PbgH7ucfMdvlQGZpAXSSBfO3r8se1zs1h0lbH9LysqG1ZqPt7o+ytQGXByM374MXeOj1BgwMdINlWfARxk2rFRg4ToQQYsH5w6g9c/SZDdT2L+8hXJyP/M2FKFUKInHcuE2jibwzNfDrpOcUczpYf1ixgapWYGD9oZgCw0TvCAyeAPY9x5ySsf7RiLVqBoaBgTGEgizKSzev28DgZ+ax49jbYPtuy9YSQsiTKDQQkiApqfKNZDWGJHE8D0kSoHXNwNU3iY1VRag9uUexQTQyMInBB49RUJqLI7+tVlxLembCiTutHci2pCCQboRGo0FRrhbDkgRJXN71qlZgCIdYPG7pgSRK2HSwMroG6gyD/CO7kJWbDSByYz2ugUGrBaTIXdVPrpJk2ZiHzvFW2eOqFRgkSYL9di8MJsMzAwMXYjHROwI+zKHmN/uRtzFPtjbWSehqBYaujl7c7xiEwahH6fZX1m1g2Ft3GhqNBsqLMBNCyK8oNBCSZNScw8CFWIx0DGFrdQWOvq3cIHL0TKDjeicKy/Jx/HQtdArjyifH5tH2jQ3ZeZk48pt9+Lt7C5M6TRGGzagZGJobbyPsD0OXYkBWvvyksicbqNuO74E3V7427oFBxtPLqg53OGRrVethCIYhBDmIvICas8eeuUpS2+d3wGcdRuGWEuSWGiEXypIpMLS0PEL5xjzM+BhE3JHuF2oFhpDPDce9H1QPDFl5hfDO0yRoQkj0aCI0IUlEzcAwPzwGLhBCfnlhVIHh3rc25JXmRhUYlu30rNAgUjsw+F1+VB3aqrxvxNMN1KrVm8Mw3jW8pvdheNYchqE2OyBJ2HS4KuplVQu3lCAtW/64yRYYtm4txv792xLSwyDwHHpbmuMSGAghJFbU00AIFpY+CwQCcft+09PTYDl22f+pvUrS+MPH0BkN2Hm4Ur3AkGJEkA8iNfOXMPDE94lHYDj2u4OYnZQfcBGpgSpKgCnC0xFrYBBYfqH2YOULBwYJgF+z8PyM9Y6i+4euhAeG1s9uQ+B56FINSFcIAU8Ghj1v18KdbgDARnzTPrbAIMUlMBw/UYvx4THZWtV6GAJe+BgndAZDXAMDGw5jenpa9uvVkJaWtiaWlyRETTqdDhaLZenztYBCA3npud1uNPzLv8TI1CQs+XnQGwyytaIowjU7B57nkJOfB6NRfodcSZLAzDsRDgVhzs1dNoch4PPj0UAvcusPIRPxWVbVUl4KY38ftCoGBgBIzUjFP/4//wIA0H1/EADgZQJ4+MMj1QNDUWmubGiQa6BqNcCWp4bNxBoYJnrHIXI8cq2Fq9LDIGp0uJOyO2l6GBYnPZcf2IK+5i7Z2pXLquajAOMRa2MKDJDQ2elAIMirHhgUN9JTcQ5D753r0Gi0qHq1Pm6BIRzwoaOjA3/17/4GqSmpYJxzCAeDMOfmP3POlYdxIej3ISvHgrT0DNlaAPB53PB53MjIykZGVjbyMtPwlxf+GQUH8lLLzs6GzWZL9GnEhEIDeekFAgGMTE2i8ORB5JYVy9bxHIfuay0IGCXseOc4MvMssrWiKKL3xl0wCKPqrSMrVkmacYwg3NP1y+Tk+OzDoMtIxYNrP8jWrkZgiEQSBHT++Ajm/CzVA4Oc593pOdo5DM6hGWgNepTskt+xGFibQ5KeXCVpflR+DLxaO2+LkgQuzGN8ksG7vz24LgPDg6Y/QqczIiPHAkOK/O/Hag9J4sIhhEQNTJWHMDcyAFfYhW1HTiGnaKPscSVIGLx/G1OBeWzZX4+CTZWytQAw1vMQ4+PtKNt1FKXb9iLgdmGu+2cEAgEKDYSsMRQaCAFgyc9DblkxMvMjNzx5lkXH19chcBxqPziFrAL5VWBEQcCj5psIMm5U/+7tiPsw+OZdAOK7cZv9vvw7xGoFBq8nAC4Qhs6gW7eBYaxjGJZNBZjpjvyO+iK1AoN31o3+rs647MMgFxrUCgySKGKofQACL2L7tpJ1Gxj0BhO2HXoD08Pyu0KrNYdBkiRM9ndBCAVR8/YZ5JZuVqztv/cjXFNj2HPiPRRt2SFbCwDDna2YdvRg2+GTKN99YOn/5Xd5IYQkMwoNhACKQ5IWA4PfyWDvu3VRBQbnyHhUOz2PtHUg5GQSutPzageGoC+IT/7y78DzAjS5mYBGgz3HdyVtYBAlwAHNwpCLpnY4n2OVpJT0FMXQEGtg6PvxIf5htYCy3elo02mwcpeLX85dEDF8rx/ZG3IStnGbUmAQJQ3szoXeuwrLBCSBiznAeSdcMBh12LRpg2wtsLYDw77605gfH5atVTMw+D0uuKfHcejUfx1VYJjof4SqQyeiCgyDD+5g875DywIDIWSB2+3G8ePHAQA//PDDmuh5o9WTCFGgXmAAgh4vZh3D6yowAABEwMf4wcy4odXqYUgzITVNvvGkWmAQxKgbqCFJwrB9AvODybGsavYGM3bs2oBMDQu5q+d1eiGGOBjSTEkZGICF+zzMGxHmjc/d47NhRyn0BuX3t9QKDJ7ZiTW9D4NSYBAFAXZbC3g2jIoDr1NgICTOBEGA0+mE0+mEIETemyfZUGggRIaqPQz3u8AGQyjfv3d9BQYATqcHoUAYGg2w40iVYqNMrcAgQYL9Tm90DVRJxJR9AgGXH5sPViU8MGRtyEHNb5Ubs3OjMxi1OQCtBhVHtiVlYHiSJIpo//Lecw0RK9wiP88IUC8wcByHoQe3121geHzzW7inJ5GWlQPzBuXXKwoMhBCAQgMhEakZGPpu3sOsYxipmZnIr1CeOLvmAsOcBz9/fg8aDZCSloKUFPlhX2oFBlGUIAQ5BJ3eqBqoD5raEXD5kVOah4p9iQ8M0U56NqQZoUs1QG+Uf47VCgw8y8UUGCb6xuCZZlZ9TolagWFsbBqBQAhZ+UXrNjDMjw9jy/4jMJpSZGspMBBCnkShgZCnqB0YJrv7Ub5/D0zp8mP8AfUCw+TIjGqBYXEfhpS0FGi18ueg3hwGAT13BiAJIkpfsUbXQB2cRk5pHiwb5FfDApIrMKRkpWFzbSU0soOX1AsMEiTYW3qiCgyiwGOibwxhXwjbXt+9JgKDo38Yd1r7odfrUL7n4LoNDLtefxvZBfK9OGoGhoDfp/g4ISQ50URoQp4Qj8BQ9fqhZ56HWoGBZzn03O7FxsoS1QLDq795BY1tDtlaNQPDD5/dg3feA12KAbml8tfuyQbq5sPbwK6xwHDg9BGMdQ/J1qrWw8ALEIIcuEAYtWeOPnOVpPYvWxE27kfepkKUVBmBp/bDWJRMgeHadRsK8rMw7fVDo41/YOBCwbgEhtzSzZgceByxVs3AMDPUh/mZKdpQjpA1iEIDIb/gOS4ugaFo2xZM9sgvrahWYPBMzYL1BbFhW7FqgeHkmVex8qgSeJ4Hy7Lw+UL48Q93IbA8Xjtdi4ysFLAsG+GoQDjE4cc/3oOfCeDIezXILciUreUFETe/aMf8uBPlezfh0U+PZM/36Qbq5n1b0R25LQsgtsAwPTABZmh2ze7D8Kw5DIP3+gBRQnnt1uiWVZ32IO9YIbLysgG4ItYmW2AoLrJg184ydA22ytaqFRhEUUDvrSakZWSqHhjkqBkYJgceo+fOD5gfGsFf/fXfIC0tTbY2FAyCmZ+FKTUVZkue4msbGw7DNTcDvcGAnLwCaCNcZ9pQjpAXR6GBECxsxtZ9rQUCx6keGJSoFRjmhscw1PoAWoMee1/foVpgyMhKRdAXXGrU8pIEQRQxPedEWAjh4fUeCJyA3W9UwRV0wzXqjnhcNsyj83ovQt4Qtr+2FX4pAMdoIGKtyIvovNEHz4wXlYesCIcWNswTpZVJIFIDVZQAg8xTF0tgEDke091jKN5Z9sKBQQIQ0izsNj43NouHX7cnPDC0ftYCLsBCm2JAZr58w+vJVZK2vbEXofw0ABwi3Z7JGBjeeucIpkYnIAgiAh4XvPPL96bwOufw+OY3SMu2YPO+wwh6GdnjBn1uPLrxDXR6I7YdOoFwwI9wwB+x1jM7Ac/cLAo3ces2MPTeuY68knI4p8aRuv0Icosiv3a6Jkcxcvs6ckq2wXrweMQQsMjrnMPAzW+QlluOyiNvRlw+mzaUI8lIp9MhMzNz6fO1gEIDIQBcs3MIGKWoN25ba4Hh0fc/IasgH6aMVOgVXpxeNDAAQGpGKv7Jv/0QANDR2gdIAM9r8fB6LwRexL53DyA71yx7XDbE4uF3dxH2hbH7rWrklebL1ooCjwdftcEz48O2N3ajZGspBjsiD42Sa6BqNUBlhGEzsQSG2aFpCCyPrCLLqvQwiBodWlL2Jk0Pw+Kk543VVthvdMvWrlxWdSOAsYi1sQaGvp5RzDN+1QODXq9HMMSBC/owe+cThHqvLdUGfV5MOPphMKUgo6ISA1/3yR6XDQYwZu+DVqtD6ZZK2L+T34eBZ8MYetwJjd+LzdWvrtvAULx1JzJyC9Fvu43U7Bxk5q7srZofG8Tgw7so3rojqkno9vabsBSXP7PHx8txiudISLxlZ2ejs7Mz0acREwoNhADgeQ473jm+bgODpawEKbk56GppkT/uKgSGSCRJguNuP/RGPWpOHX5mA9X25T2wniD2RbGzsO0bG7wzbuw4sXdpkq02wvPxvDs9RzuHYaZvElq9DmXV1nU3JOnJVZI8s4xsrZo7b3Msj4HBGZw8vkf1wAAALCcgzSjh5B4TSjctzHeZmZzFtWvd2LkxFXVv1sKo8PvBOBk0NT3GlgI93nzrANIy5IfhBHwBfP/dAxRmhCDxBugMJtnatR4Ytta+gSm7fOhUayO9oM8N51zk3cwJIdGj0EAIgJz8PGTmyU+GXeuBYWfdMTgeRp70CKgXGEJBDkKQhcDxOHjm6Kqt+69mA/V5Jj1nbMgGGwgrDqNQKzD43X4M3Hwcl30Y5EKDmtdjtGsEPCdgy+aiuASGJ2VmmGAxp2NyfBotPz/AhoIsvHvqdeXfj3kXbt6wISsjBe+deg0ZmfLXw+f147uf2qDTAW+e2IO//ZP8XBw1A8NIxz0EmTnVA4PS65WaO28/uvENMjS0WCQhL4pCAyEAjEb5d/fUDAyTj/rgHp1QPTAo/QFe7cAQ9AVx9V9+AkGQIJnTAUmC9ci2pA0MogQM/bJ0abDlIcafY5WkrIJsuByzsrWxBoaub+7h7A4Wm/aV4kGKDqLCzzd0uxdp5oyEbdymdD1ESYNBVxEAYHPOJDSSEHOAm7dPQm/QoXLbRsXa1Q4MiybHp/H117dhzk6PKjB88cXPMBr0UQWGLz6/AZbj8d57RxHweGVrVQsMAIJeN2aHB1Dz1p+vy8DwoOmP0OmNsGTL38OEJILb7cabb74JAPj+++/XxHwbit6EKFAzMAS9fox3dq+rwAAAEAGv0wfn5DwEXoQu1Yh0hcasWoFBjOEd7aAEjAxPY6xz5LmWVdUq7JfwPD0MqVlp2LO3CDn6sOyRA74AhCAHrV6XlIEBACQJCHImBDkTJOH5enxyK4pgMCq/v6VWYJibdcclMFhyEzOHYbSrDWwoiPK9B9dtYNAbTNj12m/WzERT8vIQBAHT09OYnp6GIAiJPp2oUGggRIaagWGiewBhvx8lu7evr8AAwOcLIhQIQZKAyoMVig041XoYIGHE5oi6gTo7Mg3PtBslu5NjH4b9pw5DZ5C/du5ZBsOtA4BGg4rDVUkZGJaRJDxobn+uIWIbdykcF+oFBp4XcftOz7oNDP33fsTMsB0pmVnIL1d+vVrLgWFf/WkYUuTnlBBCokehgZAI1J7DMP6oF6b0dBTtrFSsXXOBwRPEzc/vQpKAlDQT0hVqVethgAQxzMMz6YyugdrSCc+0G1mF2dhxRDnAxWvjtqgmPev10KUaYExPka1VKzCIghBTYJi0T2B+cGbV55SoFRjmnW4EQhwyMkzrNjBM9D/Cpj0HkKKwbwSgXmBgpsbiEhiU9sUghMSG5jQQ8pR4THou2VkF18wsAgE/vF5fxNrpPgfst9pQWGlF0b4d8Pkir+8OAM7RCfReb0FOaRHKDr4CfyC4oiYYDECSJMzPMLC32VUJDIs7PaekmaDTJaCHQRQx2jEEkRdQuL00qgbqeNcIst6uRX5ZIeR2LAbiHBikyF3VT66StGl/BR5/91D2uGoFBgkSHHf7IAS5ZwcGUcSkfQJBlw/bD1ahorpCvhbJERgmx6dxt7UXWo0GR4/sXLeBoerQCdm6RWoFBjYcgr31J5TveIUCAyFrCIUGQp4Qr1WSNAY9mD98ga4H95Ax2rui1jU8idkuBzJLC6CTLJi/fV32uN6pOUza+pCWlw2tNRttd3+MWOcankI4EETHD10oKMtTLTAcPVWLzztGZGvVnvTsm3JDZ9SjcEuxbC3wawO1ZO8maMrkG2VAkvUw/LJK0tTAuGytakOSRAliiEPQ6cPedw4883o8aLYhyO9BTmkerHtMUAplyRIYvv76NjLSU5CWFoDBuHKjsEVqBQaRj9+yqpMD8iuqqRUY3DMTCHhcyC4socBAyBpDoYGQX4iiGLdlVQdsnZAkAWX5OpSWLR9v298xDMejfmysKkLtyT2Kf4BHBiYx+OAxCkpzceS31YqT/dqGAmADIZgyUlQLDCfOHEaqQkMrHqskFVQWYfyB/EZawPIG6rYju9Et35aNKTDMj85irm9yze7D8KzrMdQ+AEmQULx3U3TXY3AOOYfzkFOUC0B+daBkCgzm7HRYK4ox/sdbsrWqBQZJgqO9BWkZmWt2H4ZnzWEYaGuB3miCtUZ5CCUFBkKSD4UGQrDwR7X3xl0EGXdc92FIMRiQkfbrH8PHtkH03O5B+Y5SHH37FcU/wI6eCXRc70RhWT6On66FTq88h8HeOgCNVoO9x3epFhgseVkIeoLQR1jtJl7LqmogKYaGpxuoogToZJ7mWAKDyAuYeDiEvM0bViUwcJqFr3fPMWj/vDXhgaHti7sIMX5oTXrkbpTfpfvJ67H50A4IJWYA8iuDJFtgePfU6xjoG5KtVSswhDkOAV8AaX43Dp/+h+syMHT99A2yC4vgmp2kwEAIgJQU+TlpyYhCA0k6brcbgUAgbt9venoas9PTcOtFVP/u7YRt3PbYNoiHP3WhtKokqsBw71sb8kpzowoMN/94FymZKTCkmmA0yte+aGAAgNSsVHz4/5wHAHS09gEAeI6P2z4MDlufbH2kBqpWA2yLMGwmlsDgmnRCDPNItWSsSmAQNDrcSKlOmh6GxetRvKsMw3cHZGtXXo8KAPJD1aINDJIo4XH3KGZnvdi8uRD7qnfC5Vk5b2fRiGMMN1s6saHAjNpX98HjCwMIR6xd2Om5HdlZqTjy2n74Qxy8vhAEceU9oVpgCLG4cbMDoijCWvPaug0MuSXlsJRswvCj+7K1agWGtbKkJXl5WCwW9PT0JPo0YkKhgSQVt9uNf/1vLmHOv3wogyAIcM7OQhIlWPLzoDfID4ERRRGu2TnwPIec/DzFjdskScLU6Dge93bjjf/+H63bwJCek46NlcX4cXRetnY1AkMkkiSh/+fH0EpYczs9RzuHYaJrBBqdBtaDletuSNKT14MNhCDXh6PW9eBDHAIhDt89nEJuXhbAGjD4g/xYfGbejbGRGaSlmyAUpuPvfpL/o+zz+DDkmITRaEBFXjY+bVkInIzLjVlWh2CIW6pVMzB8+flP8HpDSEtPRVq28s70azkw7Dj2G0wPrpzDtUitwMCFAnDOzij+TISQZ6PQQJJKIBDAnN+L1NrtSM9Z2B2RDYbwqOkGhHQjdr75GlKzMmS/nuc4dF9rQcAoYcc7x5GZp/AHWBTRe+MupsNeaFJNSC/Mk61d64Gh7sxhOLrlJ86qFRg4ToQQYsH5w6g9c3RdBobuHzqQYk4H6w8rDrlQKzCw/lDc9mGQ68VR83pM94+DlzRI2VqCXX/2quL1mBwYw9DwNDK2bcTu+mrFAOecmIPj2gOYNm3A3t8cgOGJIXuBoUkIg9PguIV3p9UODIzbj2NHduLqN/IBR83AMNnXCffE8Jrdh0EpMLBBP7pufIsUSW5fdUJItCg0kKSUnpONzPxchANBdF9vgd5oxP5/8FukmeUbqDzLouPr6xA4DrUfnEJWgXwIWFwlKci4se2NV9H2p29la9UMDMO945joHVc9MKg5h+FpQV8Qf/jfGiGKEoSsdEiihE0HK5M2MIgSMPLLvsv8/T4MPscqSZaNeegcb5WtjTUwPPjiNt7bHMDm6go8zkyBXHNHkiTYb/fCYDIkbOM2peshShoMMwtDbcrN09BqpJgD3EzfJLR6HTYfrkKaJVO2dqxnBPbWfpjL8qMaItZzswtpeVkRr4ch/dfeyXgEhnfeOQyBjTx8ClA3MAT9Xox3P8Tu13+zLgPDg6bPIPAsMjKzMT09rfjzrba0tDRkZ2fH9XuStcPtduO9994DAHzxxRdr4l6h0ECSVjgQxMMvmsCzHPa9Vx9VYPA7Gex9ty6qwLC4ShIXDMnWqhkYuBALu82OrdUV6yYwAABEwD3jRtAfRoZVD12KAVn58i+GydDD4JcA55QTwXu9yHuOZVWHOxyytc/Tw2Ay6lFTXQiDiUW3TC0bDEMIchB5ATVnjyVdYAAASQL8bOrS549/jr3HJ2NDNthAGNoELHPr9QTiEhiKSgoxNhh57oeqPQwDjxH2+1Cyfe+6DQw8F8aWA6/h7n/5D/irf/c3SEtduTu0KIpwzc2A5zjk5BXAaFIe0so45xAOBmHOzUdKqvxrZl5mGv7ywj9bE41BEn+CIGBkZGTp87WAQgNJSmwwhO7rLaoHhrzyUkz2DEAUxRUbrUmSBMftdkz3OVDx6n5klGyQ3YgNAMYePsaIrRNl1buRW7lZsXay3w42EEJ59eb1FRgAhFkWQX8YkihhywErOn7okq1VMzCMdw3DO8lE1UB1TjnhGptDyeZCvFJfk/B9GPafqoXBKD9UJeDxY6jNDkgSNh2uSsrA8LTulk5MPMcQsayCbLgcs7K1al0PURRxt7UPxUUW1QOD7DmoPIdhvLcDpvQMFFUqv8GxlgPDvvrfwT0ziZCoQeq2I8gtWj5vjec4dLd8j4CUgh3Hf4dMi8LfD1FE390f4Aq7sO3IKeQUbZSt9budsN/6AoFAgEIDWTcoNJCkIwgCHjXdgN5oVD0wAADLcmBcrmUbrUmShKmOAXjHZpC/y4rhuUEMzw3KHnu2dxjOgTFYtpRC75/ExK1J2VrX8CTGbnUCWmDbwYr1FRhCLH76/B4kUYIpzYjsXPn5J2o2UAWWX6g9WPnsBuqDfrg4IC0nHfv2VyQ8MBw4fRhpmSmATAfY0qRnnocu1YD0bKXGkzqBQYzxesyOTIPtHMHG55hTMvhAfrUmta6H3+MHG+Rh0JvWbWAYfHAHJVV74J6XD2SAeoHB75pDf4tN9cCQlpUD98zC63Fqdg4yc3/9HVjceVvgWNSe+m+iWrUq4Hah5u0zz7wejvu3EPTLv3FEyFpEoYEkHefsLIT06OcwvEhgAACO55dttCZJEu5d60BwfBJ7j23H1j3liufbcbsXHvsQqqqt2HO4SrF2ceO2nJJshLy+hTEbMtQKDF4mgIc/PFIlMDQ33kbA5YcpzQi9wvmqGRgmeschcjxyrYVRNVAH7/Ui7WQ1NlQUQ6E9FL/AkJUOSJG7qp9cJan8wBb0Ncv34qjWwwAJIzYHwow/6sDgmWZQsbsMO47tUqxNlp23HS090GiAg7VV6zYwbN53CMbUdDy+dU22Vq3AwHEs+m43o7B8q+qBQc5iYFBr5+0pRy825sgvxEHIWiT/ikxIgkiihJ1vvhaXwPCkFIMB6akGPPjpEWbsU6g+sRuvHNqKjDSj7Edvmx1DD4ewo7YSr57crVg70jO+tHHbztqtCelhkAQBnT+qFxj8Lj8O/nZ/wgLD45sdcA7NQGvQo2SXcthbaqBuLlwIDJC/HnENDDKeXlY1LWPl2OxFqvUwQIIY5uGZdEY9JMkzzSCr0IztR5SHwCRLYFi8HsZUA1IUatUKDJK49pdVVexhYJwIME6kZprXbWCY6H+ELTVHkJYu39NKyFpEoYEkHUt+nvKyqioEBgAQJQk/f3MfY73j2Pv6Luyolv/jAADtN7rR2zaAqv1bUPPadsXap5dV1SYgMHg9AXCBMHQGnWqB4djvDqKoOFe2Nh6Tni2bCqCLsCP1k55soO6rr1m1wOCdda/pfRiedT1GO4Yg8gIKt5dGdT3GO0eQVWhGfpl8owxIvsCw5dUqxUayaoFBkjDccXfdBgbP3DT67v4ArV6PrYdOrNvAUHXoBAo2VcrWErJWUWggSUdp4za1AoMkSXh0uy8ugSFRcxge//wY0Giw5/gu9QJD6UJg0Oq00OqWv7zEa5Wk4qoSxdoVDVSNFlrNws7QT4ulgSoKIobv9a9aYBCghQBt0gSG+9+3wTflhs6oR+GWYtla4NfrUbK7DIXl+dBq5NfIT7bAcOD0YRjTUmRr1QoMgiggEAjCMzu5bgPDw+bPkJplRrrZAp0h/oFB4OITGJ51PQhZpNfroVd4HUs2a+dMyUtPrcAASGD9IcwOT+PQO/vXZWC43ngbWp0ehjQjDEYtWJaNWOvzhfDjH+5CYHm8droWGVkpsrXhEIcf/3gPfiaAI+/VILcgEyzLQpeiw3/7b/8JAOBRux0AIAhi3JZVlduADIjcQNUA2I6Vc0ti6mFweiGGOBjSTKsTGDQ6/Ji6fyEw/Ck5AsO8YxoFlUUYfyC3J/SC5ddjFyC7h3RsgWF+dBZzfZNxGSLmnHZGrFUrMPA8j5Zbj8DzAjbtO7xuA0O6ORcFmyox3i+/o7dagUGURPTfuQ6dVkuBgSQFi8WCgQH5hR6SEYUGsiao2cMw9rAbAsuhorpi3QYGg1GPHUe24WZjC6bnnNCkrHznN+Rn8fB6DwROwO43quAKuuEadUc8Lhvm0Xm9FyFvCNtf2wq/FIBjNLCibtbJQJRE2O/0Qgiya26n52gbqKM2B6DVoOLItnU3JOnJ66GBpBga1LoeIi9g4uEQ8jZvSNicEjUDw3dft2Bm1gNTihF6Uyq88zMRayVIGLx/G1OOXmypOYKMnDzZWgAY63mIkUftKNtZA0tx+YragNsJgecBxG9Z1dkR+UaSaj0MPA8/40TQy+DIP/gLCgyEPCcKDSTpqRkY+m7eg3N4DIa0FJQ/Y1jLWg4MJ8+8CkfvKCABWlMaDJnLn8OgJ4CH1zsh8CL2vXsA2blm2eOyIRYPv7uLsC+M3W9VI680X/6JMLgghjgEnV7sfefAugwMD79uhSHNCF2qAXqj/NA6tQIDz3Jx24dBqRdHrevhmnRCDPNItWSs28AwMenEK3s3Y+S7R5i98wlCvRFWNJIkTI8MweNyoqCkFM6HDJwPv5I99vzEGJwzU7AUbIBP70ZP7/UVNUEPA9E1hIneTnimRtbsPgzPmsPQ3/oTRJ5H5eE6CgyEvAAKDSSpqR0YJrv7UbJ3B0YG+hXPQ63AMD06h7Gusbjuw6DVaqF7Yt5IwONH+1etEHgRNacOP/MdbduX98B6gtgn00Blgyxa/u8vIEECm2mEJEgo3rspaQODKAGjv0yE1vYOo+c5xsznV2xA15ftsrWxBgbbn26hbgODzdVbMJCbBbkZARIk2Ft6oAUSunGb3PUQJQ1GmYVz2miegVYjxRzgJrpGoNFpYD1YuW4Dw8kT1QgGw0gzSji5x4TSTU8t1SmKaPn5PgLCNE6crELVjgrZ4wLAg7Yu+EOjeOtwOfbtl1/mdmo0iKHHPgw/vIOdR+vXZWDouP45gh4GaWYL0nOU/35QYCDx5PP5cPr0aQDAZ599hoyM5F9t67lCQ3NzM5qamlBRUQGGYQAAFy5cSNhxyPoUj8BQ9foh+ANBxfNQKzAIHI+e233YWFWCV3/7CgRRgMBGXp9/esyJli/akW5Ow2un9kOjhexcA9ecFzc+uwedUY9jpw/AmKIDy7IQ+JXHVmMIjCQI8E67wAbD0G+0QGvSI3ejfG9EMvQw+CTAM++G96dOZD/HmPmx7iHZ2ufpYdDwPA7WFMKUxsEeYb4FAPC8ACHIgQuEUXvmaNIFBmBhGxIvm7b0uf1+7D0+KeZ0sP6wYgNVrcAQCrJxCQzWreV41LHQi5OZYYLF/Os5SaKIH67fw8T4HE4c34Nde5T3grl3+wH6+sdwuLYStYf3KdZ2tM4hFGRRXrp53QYGPzOPyoPH4Zz+W9laCgwkEViWXZrTIPf3PNnEHBoaGxvxySef4OrVq0v/19zcjPr6ejQ1NcX9OGR94jkuLoGhaNsWDNg6ZevVCgxTozPggmFo0w3YuLcQIxMTsrXOKQ+6b/QjJTMF5QdKMD47LVvrdQbQ+WMvdAYd9h7djBnXHGZcC4/NOhlIkgTxlw3l1BozL/I82GAYoiCieHsJxu6PyNaqGRimBybADM1G1UD1zLsxOziNgsIc7H+3NuH7MNSeqoUpzS5bywZZDN7rA0QJ5bVbkzIwPM3xYABDzzFEzLIxD53jrbK1al0PSZJw914vss3pqgcG2XP4JTD090/gyJGdUQUG2wM7qvdVPDMwdHX04n7HIAxGPUq3K79erXZgWJxjMCPyeHTjG+j0Rmw7dALhgB/hgD/icblQAF03voXAs9j52tsQOE52PgfPcehu+R4BtxM7jr2NoOfXuRtPUzMw+DyR54QRslbFFBoYhsGHH36IwcHBZf9fV1eHhoYGXLlyBefOnYvbccjaEg6H8fvf/x4fffQRTCaTQl0ID76+DoHjseOt16FJTYHX64tYKwoC+n68DdfYJKpOHIHJYpatlSQJjtvtmO5zoOLV/cgo2QCv14dgMAApws7Mas5hGGhzQKPVwnqoEqYc+Qbf3NgsHt8cgCk7DdXvHoRRYUiSe55B50990Bn0qHn3IFKzlm/+pTV5lj5Xc5Lt/e/aIAoiDClGZBVYAEQODWo2UEWOx3T3GIp3lj27gdo7gllPGKaMVNTIBAaB49H9ZSsK9m1C5/c29fdhyMsEQpFrF68HF2ChTTEgMz9b9rjJEhhck/MI3u1F3nPMKRnucMjWqhUY2EAIbJADx+vWRWDgOB5//0Ub/sF7+2Ew6NHV0YuWlkco35iHGR8Dpa3QVzswsEE/RNcQhr7795ibGIdWq0PplkrYv5OfYM+zYYwN9EEUBZRWVGL42n+SrRV4HuP2PnDhEIqtWzF+8z8vzd14OpCoGRjGeh5SaFgF0bYbSHzEFBo+/fRTWK1WmM3mFY998MEHuHz5clSN/dU6DllbwuEw/tW/+lf45//8n8v+8ns8HtxraYE3RYOy1/ahu/8BIDPdQBIEjLf3IDDnRlF1JQZGu4HR7si1koSpjgF4x2aQv8uK4blBDM8thFbX8BRYlgUv/jpyXO1Jz5m5WfAyPuj1hmXzC540NzqDru/vIzXKBtGDr9qhMxhkG0SLG8qx/pDKq/J4YEgxQm+Qf3lRs4E6OzQNgeWRVWSJqoHa81MnTMf2oriqBLpImzVgYfWeR3+6i8mJWaRZMtXfuE2KPEztyeuxsdoK+43I9zugbmAY7xqGd5KJOjC4xuZQsrkAr7xZnRT7MDzregzc6oUoSNi5cxOgM8LJRH73mw2xaP7+NtyeIE6erIEpPUO2VuB5/HitFVMzDI4d2Q1zft6yWq8vBEFcePNitXsYOF7Ap3+8h1Nvv4LebjtaWh5h69ZibLEWoa3nruxx1RiSxLNhmDQhaJ192FKQjjffOqC4u3nAF8D33z3ARjOP+vpamC1m2drF61GYEsTJ39agoGhhWOTUaBCTdg48G16qVTMwDHe2YuRRO0qy5AM9iU407QYSPzGFhqtXr8JisUR8zGq1wmazgWGYiGFAjeOQ9ScYDCIU8GHf2/tRuWeDbJ0gCGj5ygbOOY/aN/eibEuRbK0kSbh3rQPB8UnsPbYdW/csf3dvwKeFXZIgiQsNtXiskpS30YJJ+6RsrZpDLuy3e2EwGVRbxrPytZ14NDInfw4qz2GY6ZuEVq9DWbU1ugZqkQXpVSXQarSAzPyB+bGFnyeZdnr2zDKytWoGBoHlF2oPVkY1JMk1sRGpORnYd7AGGplQBiRPYGj97Db4EAvJoMPdMR/6rnVFrBU4Hvb+MbAsh03WInz/eBp4HHnooCiIGLKPIeAPo7SsADcGGWCQWVbDuNyYZXUIBFjVhiQ97hpAe1svtm4txvETtRgfHpOtVWsOQyjoh98fQHqxGe+/fwIZmcqT0L/7qQ06HXD69BvP7PH54ftbCIdZ/Pnvji7r8Qm4lm/Wp3ZgGHxwB2U7a5DKyA/NJGQtiik0tLW14f3334/4mNVqBQA4HA5UV1fH5ThkfcrIzkBBUQ6MMncnL4ho+cYGZtKJA2/tw6at8uFClCTcaerAVP8k9ry+Hdv2rhwOsNCOWWgsxmtZ1Uf35cerqzbkIhiGEOQg8gJqzh5Tbd3//NJ8PJKpjcek54wN2WADYWijfEe7+t1a9Gnka+dGZ9D5/cLKSNW/PaR4PfxuPwZuPo7LPgxyoUHNwDDROw6R45FrLYzqegze7Ufqnu0oqigGtMOQC2XJFBgEjkdZjRV9zV0wvFKBrM0rl2LmQiwefNuKcGYadpzcB0ux/JwrgefxsMkGn8mErSf2oWhL5DlXgaFJcPZJ3LrdjWBIwIEDVSguK5XtuQAWVknqfDSM3TvLsWX7VtnaYHBhkuWNm13YuqUI+6p3wuUJwu0NgeV4BDyuZfMDXJOj6Ll9HTlFpdi4swZ+Zl72HLzOOTy++Q3Ssi3YvO8wgl5Gtjboc6OnpQmQgDde3/fMwLCak9AFQUTA44J7dgp9d3+Aa3IM2w6fgDE1XZV9McyFJfBOK6/KR8haE/Ochme9+x9NY/95j7M47nx8fBwez6/js00mU9y7rQYGBjAyEt93EURRVGwIJfv3DAQWNv/68ssvkZYWuTv60aNHcLoYdHcMYHho5TUVRQl22zACzgA27i7B7NwsZudmIx5LEiUMdU3AM8mgcNsGeAMetN5eOel5dswFnuNx/3onvDMebNxWAktBJgZ75N+FG+6bgP3BIPLL8lGyOQ9DveOytZMjs+i504esAjM27SjGyMAk5iZdkEQR7ikGBu2v7+AxMy44bvfCkG5C+T4rXBPy79h7GS/sP/dAo9Og4sBWeGfd8M5GHkMb8gfRf/MxJEFE/pYNCHkCCHlWbsYGABzLoedGFzh/GNbDVRBYHtP2yBO1BV5A363HCMz7UFZjhcGgx8zgJHhuYdKhf9bzy8/pwqRGB/u9XrgnnCjeVYaM7HTZ4wLA8EM7Zu1TyK/YgNziPMXaib4xTHSNILvYgjRLBpwD03BPuTCtW/kSNzsyjZF2B9JyM7BxRxnmhmfgy1hovEz7/Hjybl+8HjrTwnGYqXn4XJ4Vx/TMeCDyAgaud8KUnhLV9ei98QiSIKHi6LYV10MHES6DFwAw5h/BoxuPV1wPz8yvz+3izxnpesg9b6IoxXw95vrGodHpkJGXFdX1yCrOhyErBf45F2Z8k9BqVi4eG+l6PP3cLv6cvfNe1X4/nrwevlkvJFFEwBuEZ3751zz9+6E3GVbULHr6eqTnZMrWumcZ+P0cbvQxKCzKga9vDj/0yf98s1NOME4fzJYM+Mf8uDMmP8xobnphNQS7V0RwnkPn5wsTy/2+AGbcfvR//e8xfWuhUR7weDE/PQlTajrgLEFrd4Q9Ixaft0AQcxNj0BmMKCjZiHZHi2xtOBzG3PgY2DALPTiMjM0iKLNgTCgQxq07XRAEEQcPbsfYuBNj45F36WZZFnfvPIY3EELt/u2Ynfdhdn75vLaJsSn43W44vr6Mzk99CAf9yC0sQh/TK3u+kgQ4pyfh93iQU1CAQXc/BmWrAWZuDh7nPLIsuRh3D2CY5eB1ufD3f78VpaXyi3OstrKyMmzZsiVu309ti229J9t864XH44H4y7Boj8cDvcKbJaspHA4jHP51qJ7Xu/C3JtLczhWkGACQLly4EPExu90uAZAuX76s2nFGR0clLLxVRR/0QR/0QR/0QR/0QR/0QR+r8DE6OvrM9vua2tytuLgYdrsdBoNh2VCQRPQ0EEIIIYQQspY83dMgSRI4jkNxcfEzv3bVQsPi5mxyE5xX4zharXZpzgN5uVy6dAkAYLfb4XA4cPnyZboXSNK4cuXK0ud2ux0fffQRLeRA1gR6bSXrwaVLl1BdXY26urpEn8q6tqZ6GsjLqaGhYVkjrLGxERUVFbDb7fTHjSRcY2MjmpqaljaqZBgGJ0+eRHt7e4LPjBBl9NpK1gOHw4GGhgbaGDgOYprharVa4XBE3mjH6XQu1cTrOOTl0NzcvHRfAMCZM2dgNptx+fLlBJ4VIQsWNx5aZDabYbFY0NzcnMCzIuTZ6LWVrAfNzc3UZoyTmEJDdXX10vChpy2GgGiWSV2t45D1j2EYOByOFSHTYrHI3kOExAvDMLDZbCv+YFmt1qWeB0KSEb22kvWgsbFRdgl/svpiGp5UX1+PixcvRnzMbrdHPZZstY5D1McwDBoaGmA2m2WvGbCQ9JuamlBRUbH0B+fChQsv/P3NZjNcLteK/3c4HKipqXnh45OX02rd14sNrqfnL5jNZthstlU/b0JW696l11YSb6vdnlh8jOaPxU9MoeH9999HQ0MDHA7HinfWGhsbV9wEDMOgra1tRQiI9Tgk/havz4EDB9Dc3KwY5BobG/HJJ58se2e1ubkZ9fX1qowxvHLlCqxWK86dO7fqxybr22rf108O7Xia0mOExCoer8n02krUoNa9++mnn9K9Gm/PXJT1KVevXpXOnDmz4v/q6upW1NbV1UlA5D0XYjkOSazq6mrp3LlzER9zuVyS2WyWXC5XxK+LZt+OWCx+P7vdvqrHJS+f1bivm5qaJAAr6i5cuCBVV1ev9ikTIkmSOq/J9NpK4mG17t329vZl96rVapWamppW/XzJcjGvnrQ4UaqhoWFZ11Gkdy/q6+vR1taG/fv3v9BxSPL69NNPYbVaI3YPfvDBB7h8+fLSOwHNzc1RT7CTGw/+4Ycf4tq1azTpiagq2vtabolphmFeePlpQp5HLK/JT6LXVpJosdy7bW1t1MuQAM+15GpdXV1U8w4uXLigOK492uOQ5HX16lXZxpHVaoXNZgPDMDCbzS98vReXB6RJ8kRt0d7Xiw0sp9O57A+d0+mk+5QkRCyvyYvotZUkg2jv3StXrmB+fn5pjxFg4TX38uXLsNlsqzKfkkQW0+pJhDytra1N9p2pxf+XW143Fo2Njaivr1/2R+3JDbUIWU3R3tdmsxnV1dUr7nGHw4H6+nrVz5OQp8X6mkyvrSRZRHvvXrhwARcvXlx6Y/rChQtgGAbnz5+nwKAyCg3khTz9jlUkLxoampub0draCovFApvNBpvNhsbGxhc6JiFKYrmvP/roo2XD6RaHWlIvKkmEWO5dem0lySQe7QnyYmhHaKKaxV/+F1lFhmEYnD17FgzDLOuKBGj+C0mMp+/rM2fOwOl04sqVK7BYLGhtbcW1a9cSeIaERPbkvUuvrWQtkWtPNDc3L71pc/HiRRqepDIKDSSpya0lTkgyeXJC3pkzZxJ4JoREh15byXqwOFeSdjGPDxqeRFSzOEyDVpEh6wnd12StonuXrFV07yYHCg2EEEIIIYQQRRQayAuxWq2yE5MWxx7Sut9kraH7mqxVdO+StYru3eRHoYG8kOrq6qVuw6ct/vLT2t9kraH7mqxVdO+StYru3eRHoYG8kPr6etl3Bux2Oy07SdYkuq/JWkX3Llmr6N5NfhQayAt5//334XQ6I/6iNzY24vz58wk4K0JeDN3XZK2ie5esVXTvJj8KDeSZGIaR3WvBbDbj448/RkNDw7L/b2xshNVqpeUnSdKi+5qsVXTvkrWK7t21TSNJkpTokyDJ59KlS2htbYXD4YDNZgOwsB6y2WzGBx98sOKXt7m5GU1NTaioqFgak0gbrJBkQ/c1Wavo3iVrFd276weFBkIIIYQQQogiGp5ECCGEEEIIUUShgRBCCCGEEKKIQgMhhBBCCCFEEYUGQgghhBBCiCIKDYQQQgghhBBFFBoIIYQQQgghiig0EEIIIYQQQhRRaCCEEEIIIYQootBACCGEEEIIUUShgRBC1rFLly5Bo9EsfdTU1CT6lNaEhoaGZc9bfX19ok+JEEISikIDIYSsc3V1dbDb7bDb7bh69WqiT2dN+Oijj5aeswsXLiT6dAghJOH0iT4BQggh6jKbzbBarcv+7/z582hrawPDMHA4HJAkKUFnl5zMZjPMZjMAoKKiAjabLbEnRAghCUY9DYQQ8hI6f/48zp8/D4fDkehTIYQQsgZQaCCEkCRjs9lw/vx5Vb9HdXU1zp07h7q6OlW/DyGEkPWBQgMhhCSZs2fP4sqVK3EZErM4BIcQQghRQqGBEEKSyOIcA2ChN4AQQghJBhQaCCEkiTQ3NwOgwEAIISS5UGgghJAk0tTUBAA014AQQkhSodBACCFJZLGngTYTI4QQkkwoNBBCSJJ4cj4D9TQQQghJJrS5GyGEJIjD4UBNTQ0YhlnxmEajWfr8woULuHjxYlzO6dKlS5ifnwfDMGhra4PVasXHH3/8zFWWHA7H0jmazealn+n8+fMR52c8vbmcy+Va9j0cDgfOnz8Pp9MJh8MBq9WK9vb2Zcc4e/YsHA7H0vey2+1gGAYNDQ0wm81wOBz44IMPcObMmWXHvXz5MioqKpa+bn5+Hh988AGam5tRV1dH80kIISQCCg2EEJIgVqsVLpdr6d/nz5/HlStX4hoSFi02thsaGpbtHl1fX4/NmzdjcHBQNjg0NjaioaEBTU1Ny76WYRicPHkSdXV1K36es2fPoqamRnY/CqvVioaGBly9elV26dmPPvoIbW1tOH/+PKxWKxiGwYcffoirV6+CYRjk5OSgsbFxabfrxsZGfPLJJ7h69eqKYzU0NODSpUsrggkhhJAFNDyJEEKSRCLnMzQ0NODixYvLGv0AcPHiRTAMgytXrkT8uitXruDDDz9Ee3v7iq81m81ob29Hc3PzinBQV1eHc+fOLesFeFpdXR0uX74s+/jiBnWLPQOLIWPxe585cwYXLlxYqv/www/x8ccfRzxWpJ+dEELIryg0EEJIEkj0fAaz2RyxJ2GxQb64qtOTGIbB+fPnce7cOcXhSxcvXlR1szqLxQKHw4GKiopl/3/16tWlHg6GYcAwDJxOp+xxlAIMIYS87Cg0EEJIEvj0008BJG4C9LN6NyI1thsaGgAAH3zwgeLXLv5MH3744XOeXXSUnrvFUHP27NmIc0iAhZ+DdsgmhJDIKDQQQkgSWHwnP1FLrT7P0JzFoBPN15rNZthsNtkG+2p41nlcvnwZNpsNOTk5qKmpQUNDw9KQMGChV4WGKBFCSGQUGgghJAksNl4T1dNgsVhi/prFABDNu/OLx18cgqWGZ53HuXPn0NTUhOrqathsNly6dAn19fXQaDSKPRCEEEIoNBBCSMI9uWzoWlnu83kb2EpzCuKhrq4O7e3tcLlcuHr1Ki5cuIDq6mo0NjZi8+bNqoYaQghZyyg0EEJIgjU2NgJYWxu6PfmufjQBYjEsJGr4D8MwS88z8OvqShcvXkR7ezuampqWJnYTQghZiUIDIYQk2OJ8hrNnz654LFFzHKKxuNpQW1ubYt3iykVWqzXm0LBaQ4acTqfi8q2Le0k8OceBEELIryg0EEJIgi02up/uaWhsbEzq0LC4nKlSYxz4dcJ0pA3rnjWXYjUb8c86Vl1dHa2eRAghMig0EEJIgi2+m/70bsqXL19etjlZsrFarbh48SIaGxsV5wJcvHgRZ86cibgPQk1NDQD5CdJNTU2r2pBfXCY2EofDsaaGiBFCSDxRaCCEkARbbEwvhgeHw4EPP/xwaXdjNS021uUa7U+eUyQXLlzA5cuXUVNTs2LzNoZhUF9fj7q6Otmf5f3334fZbMbvf//7FY81NDQsNfJtNhuam5sjDld61s/w9DlF2t3aZrPh97//veyO0YQQ8rLTJ/oECCHkZXf16lWcP38eZ8+ehdlshsViwccff6zqUJmampplqzadPHkSFosFly9fRl1dHWw2G86ePbs0gZlhGOTk5MBiscButy871rlz55bmBDidzqUdms1mMy5evKi4IpTZbMbg4CAaGhpQX18Pq9W69HN/9NFHS5+bzWacP38eZrMZ7e3tAICKigo4nc6ln6GmpgYWiwXV1dURQ8qFCxeW5i0sTnh+8jlePC4hhJCVNJIkSYk+CUIIIeq4dOkSWltb49JrsV5duXIFV69eXZqwTgghLyMankQIIYQQQghRRKGBEEIIIYQQoohCAyGEEEIIIUQRhQZCCCGEEEKIIgoNhBBCCCGEEEUUGgghhBBCCCGKKDQQQsg619jYCI1GA41Gs7QDM1HW0NCw9Jwt7ulACCEvM9qngRBC1jGGYZY2aFtktVoTdDZrBz1vhBCyHIUGQgghhBBCiCIankQIIYQQQghRRKGBEEIIIYQQoohCAyGEEEIIIUQRhQZCCCGEEEKIIgoNhBBCCCGEEEUUGgghhBBCCCGKKDQQQgghhBBCFFFoIIQQQgghhCj6/wHOFTG4+PwMCgAAAABJRU5ErkJggg==", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# Create a 1x2 grid of subplots (1 row, 2 columns)\n", - "fig, axes = plt.subplots(2, 1, figsize=(8, 6))\n", - "colors = sns.color_palette(\"colorblind\", len(p_arr))\n", - "bins = np.logspace(-2.9, 3.4, 20)\n", - "\n", - "\n", - "# Loop through each value of p\n", - "for i, p in enumerate(p_arr):\n", - " sampled_t_es = sample_t_es(p, ts_sample, gamma_func_ffp, n_samples=1000)\n", - " sampled_t_es_finite = sample_t_es(p, ts_sample, gamma_func_ffp_finite, n_samples=1000)\n", - "\n", - " bin_counts, bin_edges = np.histogram(sampled_t_es, bins=bins)\n", - " bin_counts_finite, bin_edges_finite = np.histogram(sampled_t_es_finite, bins=bins)\n", - " color = colors[i]\n", - "\n", - " # Point case on the first subplot\n", - " axes[0].bar(bin_edges[:-1], bin_counts/np.sum(bin_counts), width=np.diff(bin_edges), align=\"edge\", edgecolor=\"black\", label=f'Point, p = {p}', alpha=0.5, color=color)\n", - " axes[0].axvline(np.median(sampled_t_es), linestyle=\"--\", alpha=0.5, color=color)\n", - " axes[0].axvline(s.cadence, linestyle=\"--\", alpha=0.5, color='k')\n", - " axes[0].axvline(s.obs_time, linestyle=\"--\", alpha=0.5, color='k')\n", - "\n", - " # Finite case on the second subplot\n", - " axes[1].bar(bin_edges_finite[:-1], bin_counts_finite/np.sum(bin_counts_finite), width=np.diff(bin_edges_finite), align=\"edge\", edgecolor=\"black\", label=f'Finite, p = {p}', alpha=0.5, color=color, hatch=\"///\")\n", - " axes[1].axvline(np.median(sampled_t_es_finite), linestyle=\"--\", alpha=0.5, color=color)\n", - " axes[1].axvline(s.cadence, linestyle=\"--\", alpha=0.5, color='k')\n", - " axes[1].axvline(s.obs_time, linestyle=\"--\", alpha=0.5, color='k')\n", - "\n", - "# Set log scale and legend for both subplots\n", - "for ax in axes:\n", - " ax.set_xscale(\"log\")\n", - " ax.legend()\n", - " ax.set_xlabel(r\"$t$ [hours]\")\n", - "\n", - "plt.tight_layout()\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 85, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "640.9180527732299" - ] - }, - "execution_count": 85, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "#From table 2\n", - "(0.24)* (0.1/95)**(-0.73) * 17.9" - ] - }, - { - "cell_type": "code", - "execution_count": 86, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "234.58989682260176" - ] - }, - "execution_count": 86, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "(0.24)* (0.01/95)**(-0.73) * 1.22\n" - ] - }, - { - "cell_type": "code", - "execution_count": 89, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "1114" - ] - }, - "execution_count": 89, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "249+865" - ] - }, - { - "cell_type": "code", - "execution_count": 88, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "864.8079495958316" - ] - }, - "execution_count": 88, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "640.9180527732299 + 234.58989682260176 - 10 -0.7" - ] - }, - { - "cell_type": "code", - "execution_count": 80, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "0.6667291964938795" - ] - }, - "execution_count": 80, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "(95**(0.73) * 0.24)/10" - ] - }, - { - "cell_type": "code", - "execution_count": 78, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "207.12677007778646" - ] - }, - "execution_count": 78, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "def gamma_wrapper(t):\n", - " return dgammadt_func_ffp_finite([[0.73, t]]) * s.efficiency(t)\n", - "# quad(gamma_wrapper, 0.25, 1825*24)[0] * s.n_sources * s.obs_time \n", - "quad(gamma_wrapper, 0.25, 1825*24)[0] * 1e8 * 6*72*24 * 0.667\n" - ] - }, - { - "cell_type": "code", - "execution_count": 47, - "metadata": {}, - "outputs": [], - "source": [ - "def yield_ffp(p):\n", - " def gamma_wrapper(t):\n", - " return 10**(dgammadt_func_ffp_finite([[np.log10(p), np.log10(t)]])) * s.efficiency(t)\n", - " return quad(gamma_wrapper, 0.25, 1825*24, epsabs=0, epsrel=1e-1)[0] * s.n_sources * s.obs_time \n", - "\n", - "def yield_pbh(m):\n", - " def gamma_wrapper(t):\n", - " return 10**(dgammadt_func_pbh_finite([[np.log10(m), np.log10(t)]])) * s.efficiency(t)\n", - " return quad(gamma_wrapper, 0.25, 1825*24, epsabs=0, epsrel=1e-1)[0] * s.n_sources * s.obs_time " - ] - }, - { - "cell_type": "code", - "execution_count": 89, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "207.9191489109249" - ] - }, - "execution_count": 89, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "yield_ffp(0.73)*0.667" - ] - }, - { - "cell_type": "code", - "execution_count": 49, - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_41330/2979419074.py:9: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", - " return quad(gamma_wrapper, 0.25, 1825*24, epsabs=0, epsrel=1e-1)[0] * s.n_sources * s.obs_time\n" - ] - }, - { - "data": { - "text/plain": [ - "45643.36779643568" - ] - }, - "execution_count": 49, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "yield_pbh(1e-4)" - ] - }, - { - "cell_type": "code", - "execution_count": 50, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "[]" - ] - }, - "execution_count": 50, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "t_arr_extedned = np.logspace(-1.9, 4.5, 1000) #hours\n", - "dgamma_values = np.array([10**(dgammadt_func_pbh_finite([[np.log10(1e-5), np.log10(t)]])) * s.efficiency(t) for t in t_arr_extedned])\n", - "plt.loglog(t_arr_extedned, dgamma_values)" - ] - }, - { - "cell_type": "code", - "execution_count": 70, - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_41330/2979419074.py:9: IntegrationWarning: The algorithm does not converge. Roundoff error is detected\n", - " in the extrapolation table. It is assumed that the requested tolerance\n", - " cannot be achieved, and that the returned result (if full_output = 1) is \n", - " the best which can be obtained.\n", - " return quad(gamma_wrapper, 0.25, 1825*24, epsabs=0, epsrel=1e-1)[0] * s.n_sources * s.obs_time\n", - "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_41330/2979419074.py:9: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", - " return quad(gamma_wrapper, 0.25, 1825*24, epsabs=0, epsrel=1e-1)[0] * s.n_sources * s.obs_time\n" - ] - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "mass_arr = np.logspace(-12, 2, 50)\n", - "yield_pbh_arr = np.array([yield_pbh(m) for m in mass_arr])\n", - "plt.loglog(mass_arr, 4.74/yield_pbh_arr, label=\"PBH\")\n", - "plt.fill_between(mass_arr, 4.74/yield_pbh_arr, 1, alpha=0.5)\n", - "plt.ylim(1e-6, 1)\n", - "plt.xlabel(r\"$M_{PBH}$ [M$_\\odot$]\")\n", - "plt.ylabel(r\"$f_{\\rm{PBH}}$\")\n", - "plt.title('Projected Roman PBH Limits')\n", - "plt.show()\n" - ] - }, - { - "cell_type": "code", - "execution_count": 91, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "plt.plot(mass_arr,yield_pbh_arr, label=\"PBH\")\n", - "plt.xscale(\"log\")\n", - "plt.xlabel(r\"$M_{PBH}$ [M$_\\odot$]\")\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 64, - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_41330/2979419074.py:4: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", - " return quad(gamma_wrapper, 0.25, 1825*24, epsabs=0, epsrel=1e-1)[0] * s.n_sources * s.obs_time\n" - ] - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "p_arr = np.linspace(0.66, 1.33, 6)\n", - "yield_ffp_arr = np.array([yield_ffp(p) for p in p_arr])\n", - "plt.plot(p_arr, yield_ffp_arr, label=\"FFP\")\n", - "plt.yscale(\"log\")\n", - "# plt.ylim(1e-6, 1)\n", - "plt.xlabel(r\"$p$\")\n", - "plt.ylabel(r\"Total Yield\")\n", - "plt.title('FFPs')\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 87, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "dN_dt = np.array([gamma_func_ffp_finite([[1, t]]) * s.efficiency(t) for t in np.logspace(-1.9,3,100)])\n", - "# plt.loglog(np.logspace(-1.9,3,100)/24, dN_dt*1e8 * 6*72*24 * 0.667)\n", - "plt.loglog(np.logspace(-1.9,3,100)/24, dN_dt* s.n_sources * s.obs_time)\n", - "\n", - "plt.xlim(0.01, 30)\n", - "plt.ylim(7e0, 1e4)\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Mass Sensitivity" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "metadata": {}, - "outputs": [], - "source": [ - "def differential_rate_mw_mass(m, tcad = 0.07, tobs= 3, finite=True):\n", - " # return s.ffp.differential_rate_mw_mass(m, tcad=tcad, tobs=tobs, finite=finite, epsabs=0, epsrel=1e-1)\n", - " return s.ffp.differential_rate_mw_mass(m, tcad=tcad, tobs=tobs, finite=finite, efficiency=s.efficiency)\n" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "100%|██████████| 40/40 [01:03<00:00, 1.58s/it]\n" - ] - } - ], - "source": [ - "m_arr = np.logspace(-10, 0, 40)\n", - "with Pool() as pool:\n", - " func = functools.partial(differential_rate_mw_mass, tcad=s.cadence, tobs=s.obs_time, finite=True)\n", - " d_gamma_d_ms = list(tqdm(pool.imap(func, m_arr), total=len(m_arr)))\n", - "d_gamma_d_ms = np.array(d_gamma_d_ms)" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "plt.loglog(m_arr/3e-6, d_gamma_d_ms, label=f'Finite Source, Roman, p={p}', color='k')\n", - "\n", - "plt.ylim(1e-18, 1e-7)\n", - "plt.xlim(np.min(m_arr)/3e-6, 1e1)\n", - "\n", - "plt.xlabel(\"Mass [$M_{\\oplus}$]\")\n", - "plt.ylabel(r\"$d\\Gamma/dM$ [events/star/hr/mass]\")\n", - "plt.legend()\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 29, - "metadata": {}, - "outputs": [], - "source": [ - "roman_diff_rate_mw_interp_log = interp1d(np.log10(m_arr), np.log10(d_gamma_d_ms))\n", - "def diff_rates_m_mw_interp(m):\n", - " return 10**roman_diff_rate_mw_interp_log(np.log10(m))\n", - "roman_rates = np.array([quad(diff_rates_m_mw_interp, m_arr[i],m_arr[i+1])[0] for i in range(len(m_arr)-1)])\n", - "\n", - "mean_values = (m_arr[:-1] + m_arr[1:]) / 2\n", - "rate_interp_log = interp1d(np.log10(mean_values), np.log10(roman_rates))\n", - "\n", - "def roman_rates_interp(m):\n", - " return 10**rate_interp_log(np.log10(m))" - ] - }, - { - "cell_type": "code", - "execution_count": 30, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "plt.plot(mean_values/3e-6, roman_rates, label=f'Finite Source, Roman, p={p}')\n", - "\n", - "plt.xscale('log')\n", - "plt.xlabel(\"Mass [$M_{\\oplus}$]\")\n", - "plt.ylabel(r\"$\\Gamma(M)/\\Gamma_{\\rm{tot}}$ [events/star/hr]\")\n", - "# plt.title('MW lens w finite-source effects, M31 source')\n", - "plt.legend(loc='upper left')\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Comparison with Popsycle" - ] - }, - { - "attachments": { - "image.png": { - "image/png": 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" - } - }, - "cell_type": "markdown", - "metadata": {}, - "source": [ - "![image.png](attachment:image.png)" - ] - }, - { - "cell_type": "code", - "execution_count": 21, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "192.9365834328922\n" - ] - } - ], - "source": [ - "t_e_typical = 4.1 * (1e7)**(1/2) * (4)**(1/2) * (280/50)**(-1) / 24 # 30 solar mass, days\n", - "# t_e_typical = 4.1 * (1)**(1/2) * (8)**(1/2) * (280/50)**(-1) #earth mass, hours\n", - "print(t_e_typical)" - ] - }, - { - "cell_type": "code", - "execution_count": 22, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "0.002070812716332032" - ] - }, - "execution_count": 22, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "4.1 * (1e-6)**(1/2) * (8)**(1/2) * (280/50)**(-1) #earth mass, hours\n" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "metadata": {}, - "outputs": [], - "source": [ - "nick_tes_30 = pd.read_csv('popsycle_data/nick-t_E-30msun-sep8-nocut.csv', header=None).values.flatten()\n", - "nick_tes_earth = pd.read_csv('popsycle_data/nick-t_E-earthmass-sep8.csv', header=None).values.flatten()\n", - "nick_tes_data = {\n", - " 3e-6: nick_tes_earth, \n", - " 30: nick_tes_30 \n", - "}" - ] - }, - { - "cell_type": "code", - "execution_count": 20, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_47349/3285702519.py:8: RuntimeWarning: divide by zero encountered in log10\n", - " diff_rates_interp_log = interp1d(np.log10(t_es), np.log10(dgamma_dt))\n" - ] - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "def plot_histograms(data_structure, nick_tes_data, num_samples=10000, num_bins=24):\n", - "\n", - " for m_pbh, nick_tes in nick_tes_data.items():\n", - " if m_pbh == 3e-6:\n", - " bins = np.logspace(-1, 1, num_bins)\n", - " elif m_pbh == 30:\n", - " bins = np.logspace(2.5, 4.5, num_bins)\n", - "\n", - " plt.figure()\n", - " for entity, entity_data in data_structure.items():\n", - " for finite_val, finite_data in entity_data.items():\n", - " if finite_val:\n", - " continue\n", - " for v_disp, v_disp_data in finite_data.items():\n", - " for p_or_mass, p_or_mass_data in v_disp_data.items():\n", - " if entity != 'pbh' or p_or_mass != m_pbh:\n", - " continue\n", - " # Calculate gamma(t) for each case\n", - " t_es_limited = np.logspace(np.log10(np.min(p_or_mass_data['t_es']))+0.1, np.log10(np.max(p_or_mass_data['t_es']))-0.1, 60)\n", - " gammas = np.array([gamma_of_t(p_or_mass_data['calculated_values'], t, t_es=p_or_mass_data['t_es']) for t in t_es_limited])\n", - " \n", - " # Sample crossing times\n", - " samples = sample_crossing_times(t_es_limited, gammas, num_samples)\n", - " \n", - " # Plot histogram\n", - " bin_counts, bin_edges = np.histogram(samples, bins=bins)\n", - " plt.bar(bin_edges[:-1], bin_counts/np.sum(bin_counts), width=np.diff(bin_edges), align=\"edge\", edgecolor=\"black\", label=f' LensCalcPy', alpha=0.5)\n", - " # plt.axvline(np.mean(samples), linestyle=\"--\", alpha=0.5)\n", - "\n", - " # Plotting for Popsycle data\n", - " bin_counts_popsycle, bin_edges_popsycle = np.histogram(nick_tes*24, bins=bins)\n", - " plt.bar(bin_edges_popsycle[:-1], bin_counts_popsycle/np.sum(bin_counts_popsycle), width=np.diff(bin_edges_popsycle), align=\"edge\", edgecolor=\"black\", label=r\"PopSyCLE\", alpha=0.5)\n", - " # plt.axvline(np.mean(nick_tes*24), color='orange', linestyle=\"--\", alpha=0.5)\n", - "\n", - " plt.xscale('log')\n", - " plt.xlabel(r\"$t_E$ [hour]\")\n", - " plt.ylabel(\"Normalized Count\")\n", - " plt.title(f\"PBH, M = {m_pbh} $M_\\odot$\")\n", - " plt.legend()\n", - " plt.savefig('draft_figures/pbh_tes_hist.pdf')\n", - " plt.show()\n", - " \n", - "plot_histograms(data_structure, nick_tes_data, num_bins=16)\n" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## FFPs" - ] - }, - { - "cell_type": "code", - "execution_count": 38, - "metadata": {}, - "outputs": [], - "source": [ - "nick_ffp_df = pd.read_csv('popsycle_data/nick-t_E-Lmass-ffp-06-combined.csv', header=None)\n", - "nick_ffp_tes = nick_ffp_df[0].values\n", - "nick_ffp_masses = nick_ffp_df[1].values\n", - "nick_ffp_tes_sampled_066 = 10**(pd.read_csv('popsycle_data/p066-logtE-sampled.csv', header=None).values.flatten())\n", - "nick_ffp_tes_sampled_100 = 10**(pd.read_csv('popsycle_data/p100-logtE-sampled.csv', header=None).values.flatten())\n", - "nick_ffp_tes_sampled_133 = 10**(pd.read_csv('popsycle_data/p133-logtE-sampled.csv', header=None).values.flatten())\n", - "# nick_ffp_tes_sampled_066 = 10**(pd.read_csv('popsycle_data/lower1e-12-p066-logtE-sampled.csv', header=None).values.flatten())\n", - "# nick_ffp_tes_sampled_100 = 10**(pd.read_csv('popsycle_data/lower1e-12-p100-logtE-sampled.csv', header=None).values.flatten())\n", - "# nick_ffp_tes_sampled_133 = 10**(pd.read_csv('popsycle_data/lower1e-12-p133-logtE-sampled.csv', header=None).values.flatten())\n", - "\n", - "nick_ffp_tes_data = {\n", - " 0.66: nick_ffp_tes_sampled_066,\n", - " 1.0: nick_ffp_tes_sampled_100,\n", - " 1.33: nick_ffp_tes_sampled_133\n", - "}" - ] - }, - { - "cell_type": "code", - "execution_count": 40, - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_60760/3285702519.py:8: RuntimeWarning: divide by zero encountered in log10\n", - " diff_rates_interp_log = interp1d(np.log10(t_es), np.log10(dgamma_dt))\n" - ] - }, - { - "data": { - "image/png": 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", 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", 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "#With extended mass function, but cuts on t_duration at low and high\n", - "def plot_ffp_histograms(data_structure, nick_ffp_tes_data, num_samples=10000, num_bins=20):\n", - " # bins = np.logspace(-2.5, 2, num_bins)\n", - " bins = np.logspace(-2, 2.5, num_bins)\n", - "\n", - "\n", - " for p_val, nick_ffp_tes_sampled in nick_ffp_tes_data.items():\n", - " plt.figure()\n", - " for entity, entity_data in data_structure.items():\n", - " for finite_val, finite_data in entity_data.items():\n", - " if finite_val:\n", - " continue\n", - " for v_disp, v_disp_data in finite_data.items():\n", - " for p_or_mass, p_or_mass_data in v_disp_data.items():\n", - " if entity != 'ffp' or p_or_mass != p_val:\n", - " continue\n", - "\n", - " # Calculate gamma(t) for each case\n", - " t_es_limited = np.logspace(np.log10(np.min(p_or_mass_data['t_es']))+0.1, np.log10(np.max(p_or_mass_data['t_es']))-0.1, 60)\n", - " gammas = np.array([gamma_of_t(p_or_mass_data['calculated_values'], t, t_es=p_or_mass_data['t_es']) for t in t_es_limited])\n", - " \n", - " # Sample crossing times\n", - " samples = sample_crossing_times(t_es_limited, gammas, num_samples)\n", - " \n", - " # Plot histogram\n", - " bin_counts, bin_edges = np.histogram(samples, bins=bins)\n", - " plt.bar(bin_edges[:-1], bin_counts/np.sum(bin_counts), width=np.diff(bin_edges), align=\"edge\", edgecolor=\"black\", label=f'LensCalcPy', alpha=0.5)\n", - " # plt.axvline(np.median(samples), linestyle=\"--\", alpha=0.5)\n", - " plt.title(\"p = \" + str(p_val))\n", - " \n", - " # Plotting for Popsycle data\n", - " bin_counts_popsycle_sampled, bin_edges_popsycle_sampled = np.histogram(nick_ffp_tes_sampled, bins=bins)\n", - " plt.bar(bin_edges_popsycle_sampled[:-1], bin_counts_popsycle_sampled/np.sum(bin_counts_popsycle_sampled), width=np.diff(bin_edges_popsycle_sampled), align=\"edge\", edgecolor=\"black\", label=r\"PopSyCLE\", alpha=0.5)\n", - " # plt.axvline(np.median(nick_ffp_tes_sampled), color='orange', linestyle=\"--\", alpha=0.5)\n", - "\n", - " plt.xscale('log')\n", - " plt.xlabel(r\"$t_E$ [hour]\")\n", - " plt.ylabel(\"Normalized Count\")\n", - " plt.legend()\n", - " # plt.savefig('draft_figures/ffp_tes_hist.pdf')\n", - " plt.show()\n", - "\n", - "plot_ffp_histograms(data_structure, nick_ffp_tes_data, num_bins=16)\n" - ] - }, - { - "cell_type": "code", - "execution_count": 51, - "metadata": {}, - "outputs": [], - "source": [ - "#px, py, pz, vx, vy, vz\n", - "stars = np.load('popsycle_data/star.npy')\n", - "ffps = np.load('popsycle_data/ffp.npy')\n", - "ffps_smaller_r = np.load('popsycle_data/ffp_smaller_r.npy')" - ] - }, - { - "cell_type": "code", - "execution_count": 46, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "(-800.0, 600.0)" - ] - }, - "execution_count": 46, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "plt.plot(ffps[3], ffps[4], 'o', markersize=0.1, label='FFPs', alpha=0.3)\n", - "plt.xlim(-750, 750)\n", - "plt.ylim(-800, 600)" - ] - }, - { - "cell_type": "code", - "execution_count": 47, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 47, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "plt.plot(stars[3], stars[4], 'o', markersize=0.1, label='Stars', alpha=0.3)\n", - "plt.xlim(-750, 750)\n", - "plt.ylim(-800, 600)\n", - "plt.legend()" - ] - }, - { - "cell_type": "code", - "execution_count": 73, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 73, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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YYxobG0/4uc70Prq6umJAbPXq1aOeX79+fay8vHzUcye6x5HX2rp1aywWi8U2bNgw6t6A2O7du8e9DyBWU1Mz6rny8vLYhg0bxr3fE32O49/L1q1bx7yXybyf3bt3x/x+f6yrqyv5emNj46jPf7ZMNq+pUjuHJEZ3eb0LcL21iiMFpVz7xGfYwyBuoBh4jA6u3fXPBJ/fzcDtVWRnL8bl8mmTBhGRYxLfD6fr98WtW7fi8/kIBoPs3LnzpL2ap3p8dXU1OTk5yY8TC8dGntfQ0DCmdWH16tWn1P4w0p133sndd9896rm1a9eydetWKioqJvxcZ3ofif7QysrKUc9v3bqVrKwsamtrWb169Unvsbq6ekyv6XiV3pPdx6k+N97nOP69bNiwgaqqKurr60dVr0/2ftasWUNVVdWoz+n3+8csIpxKCrVzUGKzhuJL3kuzdwHLHvgC8Dy/AZYBPwDeHf0F3p1PceSd38Wbs4SsrNT9JhURmU6mc6AFqKqqwu/3T3o81KkeX1lZedLgUl5ezp133klpaSmrV6+moqKC8vLy0wo8DQ0NBIPBMSv2V65cSXV1NVu3bp3wcyX+q/5M7+P4/1b3+Xz4/X7q6upYvXr1Se9xpHM5eWAyn2O8FoGysjJqamqSofZk7yfRprJq1aox10rlQjGF2jnKanVgsRgUL7iGrvd+j74Dj/H2pz/DT4DlQC1QSgfX/upWuhd9gr6y25k3rwzDsGEYtmn9DV1E5FybCd//fD4fVVVVp1SVPJXjT3at/fv3U1VVRW1tLdu2bcPv97N79+5TDj27du0C/jLyKiE7OztZZT7R5zpb93E8v9+f/Fqd7B5Hmoq+01P9HNnZ2aN+3U/2fhLHTrcpFQq1c1gioGZnLyYzs4jWtGze9/AH2UF8nq0B7ADetf+bpO1/nkM3foaC4iux2VzYbC5gZnxjFxGZq071v4PP1n8fNzQ0UFZWlqxSNjU1UVlZyZYtW07pv90T9wRMWGE90edat27dWbuP4yUW1E3mHk/n2iOvP56zuVFDIBAYVXU92ftJhNpztVnE6VIiEWw2F06nh3x/Oca761kHvBloB64AHgX28CQ8eBtHDz1Nf38H4XAvsZipsV8iIjJGU1PTqB3B/H5/cpbtqUpMYhjv3Pr6+hN+rrN1H4FAYNTHwWAwuYPWZO7xdJys2nq6FfXj3wvE/2GQeC9w8veT+MdPoqI7XSjUSrKVIC0tm9zcpbjW/YG8/A9zO/A68bFf/cSrtjy0mq4XfsSRxt8SiQwme8tERGR6ONXq2WSPT4ShyR5/fCW0qamJioqK07qvu+++m6qqqjHXSxxzos91pvcBYzdGuPPOO1m9evWoSurJ7vFkysrKkiExUX1OWLVq1agQmwibp1MpPX6WcFVV1Zj3Aid/P4l+5pES/8jo7Ow85fs6G7RN7izeJvdUJIKpxWIkK7Fd7S/Brz7Jfg7yJPGq7R7g9sRJZf9M7mUfJjOzCNOMYLEYakcQEZliwWCQLVu2UFtbS1NTE2VlZZSXlycXRZ3t48vLyykrKzvhf98nZsMGg8Fk32UwGDzp1qkNDQ1UV1ezfft2ysrKqKysTM5YTby2cuVKIF7JXL169Qk/1+nex0gWi2VUqH3uuefIyckZ9xoT3WN9fT3V1dXU1tYmv97Hf/0SM2kTs2sTUxUgHiYTr8FfKs6JiQU1NTWT+hxVVVVs3LiRnTt3Jr8WMPGc2onez8jXd+zYweWXX04gEMDv9yf7steuXTtmkdzpmmxeU6hVqB0lUbWNRAYJh3vp6HiF6L3/gsnD7ASuB/YBbcAtAPMrybj2Y/h8C5M9ugq2IiIyW1gsFnbv3j0lUwtkfJPNa0ofMkqincBqdeB251JQsBzrbf+IMe9O7gCagSZgCNgGDByupveeTQQC+xgaCiX7bE0zktL3ISIiInOLQq2MkWgjiMVMbDYX8+dfgaf8U3DJRi7jUi4FXgYuAv4b2B/9Bf3/t4qje+4hFGomEhkkFjOJRsOpfSMiIiJnwXiLq2T6UaiVCVksBlarAwCfbyHFb67CePdXWcYFbAAOA6uA3cCDAE9/hq76/yQYPMDQUEiLyEREZMaqr69PTgTYunUr27dvT/Edycmop1Y9tZOWqL4Ggwfo+dmXYaCGB4EgkA+8CnwcgGXw1k/jLbmK7OzFqbthERERmfHUUytnncViYLO58PkW4lv7ZXjrd7kRCxXAK8QXkf0MeIo98OhH6H70mwQC+xge7lePrYiIiJxTCrVyymw2F5mZReQvfge22x8lz/Ne/pZ4pdYK9ABfAcxD/033jz5Ne/tLBIMHiEQGFW5FRETknFColdNis7lIS8smP38ZWbd9EVZ9iVvwcCHwDLAU+DJwmN8ytPMqup/8Hzo6XiESGWR4uD+Vty4iIiKzkEKtnDbDsOFwZJCZWUTeig/CLTu5gKv4AvF2hKuAnwLPAjR9g4F7/p6Wll0MDYWIRAZTeOciIiIy2yjUyhlJTEhIT89n3rwyrLd9BSN9Hf8E7AVKgBeBzcAAjxO77220v/YgHR2vqGIrIiIiZ41CrZwVFouBw5FBYeEK0m+pgkWf4ONAGvHRX9nEN2v4HsDjH2Xgl/9J86Gn6etrwzQjGv0lIiIiZ0ShVs6axDa5OTlLyHrLJ+Dqr3ML8AUgAFiI70i2GaD3Hrj/PbS98AMCgX1Eo+Ex4VZBV0RERCZLoVbOKpvNBUBmZhEFF6/FcutvMYx3sYl4KwKAj3iwfZVueO6f6HnsOzQ3/4HBwWBym91YzNTmDSIiIjJp2nxBmy+cE4lgapoROjv30v/Mj6DpGzwLPES8LWHg2LGbALgC3riWnAtvIyOjENOMYLU6sFj07y4REZG5TJsvSEpZLEZyEVl29mI8V6+Hq/6TK4iH2AGACNARr9q28yz8/nN07voubW17MAwbkcigKrUiIiIyKQq1cs4kqqyJXcgKlt0B1/8ALDfHq7M2wBE/9jvAfwG8+K8M3PM5Wlp2Ja+jDRtERETkZBRq5ZwaWbFNS8um5MLbyHzfv8D8SjYBS0f8L0KwEzbHAJ5guPYtNB96mq6uJiwWQ8FWRERETkihVqaMxWIkq7Y5b6+CZZ9nHYmeWmAY6ITNbXCYGNx/I91//AmHDz9LNBomGg0n2xHUliAiIiIjaaGYFoqlxPBwP0NDIdoPPgmHnoeX/52vAr3NQCYwAIsL4X0AXAY3fgFPzhK83gVYLAaGYQPQQjIREZFZbrJ5TaFWoTYlEtMRwuFeBgeDdD3+Tdj/TfYAPwsSn/s1DNhHVHJLPob9De8hJ2cJdrs7ORdXREREZi9NP5BpLdFr63L58HiK45s1XLKRZcAXfMcOCgMx2NwBjwEc+m+Ga79EILCP/v4OIpHB5IYNakcQERGZ2xRqJWUSrQOGYSMjo5CCN34Crvs+BkvYBCxMJ77HLvB487GdyKgnXFNB5/5H6O/vYHi4f9SGDSIiIjI3KdTKtGC1OrDZXMxfeiu86+tQ+BE+ANxeDNiJ99k2w+ZhMBmARz9C1wP/QldXU3KLXREREZm7UtZTW19fT11dHaWlpQSDQQA2bNhwWtcKBoNUVVXh8/nYunXrpM9TT+30EouZRCKDWCwGfX1tBF69H57+DHCsStsK5AAD4PPApwA4H962mcJF12EYNhyODC0eExERmUUmm9dSssqmtraWHTt2UFNTk3yuvr6eiooK6urqJn2dqqoqmpqauPzyy6mvr6e8vPxc3K5MEYvFwG53Y5oRPJ5ibBevpS09H+q+yiae54eFcKATGIZgCDZnwibva/Db99J66T+SfvHteDzFOJ0eYjFTi8hERETmkCmv1AaDQRYtWsT+/fvx+XyjXlu5ciWVlZWsX7/+lK+7cuVKVq1aRXV19aTPUaV2+kr0yPb1tdHf30H/738AB75FN/D1DmDwL8deVQwVAK7VuG75HOnp+WRmFhGNhrFaHcnjVMEVERGZeabt9IOdO3fi9/vHBFqAdevWnVIoldkrMYs2I6OQzMwicq//HFz2Bbz42JQLFP7l2KcTi8gGaxncsYbOvb+kq6sJ04wwPNyf7LfVQjIREZHZa8pDbU1NDdnZ2eO+5vf7aWhoSPbYilgsBm53Li6Xj/lv/DuMd9cCb2GTDZYWjziwGTb3wQCH4MlP0v2TjXR27iUSGUxWfVWpFRERmb2m/G/5Xbt24ff7x30t8XxTU9NU3pLMAHa7G7vdzYIF1+B+z1fBcRvrgLuKiW/UANAF25rhhwDRXzC44+McbX2Bnp4WYjEzOdNWREREZp8pD7XBYHDc1oORFGplPIkNG/LyLsL17g1Q9s/kYWVTBjCiansgOdN2N9x/I8E//ZTDh58dtVmDiIiIzC7T6v9jE2E3EAik9kZkWjMMGwUFy8m+9P0Y7/4N8CY2AYXHtyMEju3d0PAlovd9ncNN9aM2axAREZHZY1qF2lQJhUKjHkNDQ6m+JTkJi8XA611AXt5FeP76v8H3V1QCn05s1gDQD99NVG3N++HXH+bIY9vo7NzL8HA/0Wh4VLhV0BUREUm9oaGhMdlsMqZVqE0sEJtoIdm5UlJSgtfrTT62bNkypZ9fTp3FYhCLmbjduaSn55N16z/Dpf+Il3Q2FTCqHYFm2NwJ0Auv/Ae9T1Rz+NDTDA2FRlVuE9cUERGR1NmyZcuoXFZSUjKp8yYdaisqKrBYLKf1mO7TDA4dOkR3d3fysXHjxlTfkkxCYpqBy+UjI6OQvMsr4W13A5exieOmIwzA5mbYAXDov+GBL3N07y8ZHu5neLhfgVZERGSa2Lhx46hcdujQoUmdN+ktl05lp68T8fv9Ey4ES/TSTjQd4VzxeDzafGGGs9lcuN25FC66jvbbCok+/kPWdf6Q7mL4ehQ4Ej/ulWbYXAybeAYee4a2P3+IrHduJBYzsdvdGIZN479ERERSyOl04nQ6T/m8Kf+bu6ysbMLKbSLslpWVTeEdyWxhGDbS0rIpKFhOzi2b4Pof4AU2WRnbjtB27Oft/0vXD26mtfWFUVVbERERmVmm/G/vioqKCSu1jY2NlJeXT/EdyWzjdHpIT8+naMlN8I6dwDvHtiOE4+0IXwXgVcyfl9Py2oNEIoMMDgaTu5CJiIjIzDDloXbt2rUEAoFxg21tbS2VlZWjngsGg9TX10/V7cksYbU6sNlcFJe+Dettn4VLNv5ls4asvxzX2wybu459UP9+Wh/7dzo6XiEc7iUc7gU0FUFERGQmmPJQ6/P5uPvuu6mqqhr1fG1tLX6/n9WrV496fs2aNVRUVLB9+/YTXjcYDGq+rYxitTowDBvFxVeS94aPwcovkgdsSmd0O0JfvGr7KsCrX2W49qMcefHHDA2FFGxFRERmiEkvFDubVq9ejc/no6qqitLS0mSP7XiL0SoqKti1axerVq0a89q2bdt47rnnaGpqSj4qKirw+XysW7duTECWucdqdSRHf+Vd9mHa518B9/8jm3ieumJ4uvkvx97TDGnFsIGX4OnP0PHan/C847N4vQuS11G/rYiIyPRkicVisVTfRKqEQiG8Xi/d3d2afjDLJWbRJmbTdn7/Q8DjAGyOAK2jj99QDGkAvBVu/iwF88pIS4vPT1awFRERmTqTzWv621nmBIvFwGIxcDgySEvLJvtD34PLvgC42WQDR/Ho47cldiLjUXjgDo7u+h8CgX2YZmTUIjK1JYiIiEwPCrUyZ1gsBlarA6vVgdudS8HlH4O3fRe4iY3AW44LtjTD5g6AXmj4EqEH44vIBgYCmGZEu5CJiIhMI2o/UPvBnBSLmZhmhHC4l46OV4g88UNo/18ANptAy+jj31UMlwGwEt5yJ5klV+HzLcRqdagdQURE5ByabF5TqFWondNiMZNIZJCenha6X7kPnv0HAJ4C6puPO7gYNiV+7vsrLNe+n4KC5bhcPgVbERGRc0Q9tSKTYLEY2O1usrL85F7yXiy3/hYo52rgC8UkVovFNcPmHmgHCP6Y2H0fo3Xfr+npaSESGUxWf0VERGTqKdSKHON251JYuALv+78B5/8dBrAph9EzbbvhO83wbQAa4eEP0vn0dwiFmgmHe7FYDCKRQYVbERGRKab2A7UfyDGxmEk0GsZiMRgYCNB+8En47T8C+/kvIHh8O0I6bEruTnYlvHE12Utvxen0JDd+MAybWhNERETOgHpqJ0GhVsaTmGwQi5m0t7/E4C/+AwZrqQOeDgD9o4/fNLKS67wdrn8fOYUrcLl82O1uYPRs28S0BIVdERGRk1OonQSFWplIoj82FjNpbX2B4YZaaPoGA8A2gBMtImM+XPhest5wJw5HBna7G5vNNe74LwVbERGRE1OonQSFWjmRxBza4eF+QqFmQk318NT/A3bzQ+DA8cGW46q2tlvhxvVkZS/G7c7FZnNhGDZVakVERE6BQu0kKNTKZCTGfoXDvQSDBwjX/CPJLXbHCbYZxfDZkU9c8FnSLltHVpYfw7Alq7YiIiJychrpJXKWJHYic7l85OQsIfOvvgn2dwPHKrMFo4/vbT4u7L76VQbu2UDLiz8mGDxAf38HkcjglN2/iIjIXKBKrSq1MkmJdoRoNExHxyv07/0l7P4iAJthbJ8tcFUxVIx8wr0WrnwHnvlXkJlZhMORMeraiR9FREQkTu0Hk6BQK6cjMRkhFGqmq/UF+PUm4GUeAx4fJ9jCcb22pMFFn8B+0U1kZflxuXzJXtvEjwq2IiIicWo/EDlHLBYDi8XA613AvIXXwi1fA67jWo4Pr3+xuRn+MvdgAF7axnDtZtoOPJbckQzi48QUaEVERE6dKrWq1MoZSIz+amnZReSJH0L7/wITtyOQDZvcxz1X+ilcq96Dz7cQp9OTDM0iIiKi9oNJUaiVsyEaDWO1OggGD9D14o+h4UsAp9COAHAFvOXDeBZcg8+3EEC7kYmIiKBQOykKtXKmRi4eS4z+OrLnHnjyk8ljxhv7BeOM/gJY+jnsy95FTs4SbDZXcrtdERGRuUo9tSJTIDGxIBE+rVYHRZe8F95+D5AFHKvKHt9ywDijvwBe+Q+Ga/+N1pfvZXAwSDQaxjQj5/ptiIiIzHgKtSJnKNEikNhYweHIoMhfjvW2nwHLAdiUHR/vNZ6xldwH4Ym/p+Ppb9PX18bwcP+Y7XVFRERkNLUfqP1AzpHBwSDd3Qfp/803IPCj5PMTtSPAeL22N+Fa90+kpWXj8RRrEZmIiMw5aj8QSTGXy0dWlh/POzdA2T8nn59o7BeMF3h/yeCOK+k60kBXVxORyKDaEURERMahUCtyDtntbny+hWRceBu8+TvJ5zcVg+ME7Qg/Of7J39xBqO7rdHcfJBIZJBzuVUuCiIjICAq1IudQol0gN3cpvkXXwTXfAJYAsJGJq7b7xltE1vpden78Pg7v+zXhcC/Dw/2q2oqIiByjUCtyjiW2vvX5FpJ/4W1Q/k/AlcnXT60d4U/w2/fS/rv/orv7oKYjiIiIHKOFYlooJlMk0S7Q19cW7499+LsQ/HHy9Ql3IQPIgk3pxz3nWo31xrvIyVmC250L/GXEmBaTiYjIbKHNFyZBoVZSZWAgQE9PC31N9fCHDaNeO7XpCNfA9R8hc14ZublLk7ubKdiKiMhsoekHItNYWlo22dmLyb7wNnjrd4G05Gun1o7wJDz8MXpef4L29peIxUyi0fC5uGUREZFpTaFWJEWsVgfp6fnkL34HlFcDb06+tqkYVpxgOsLocDsAv/tbep/+Hq2tLzAwEADQdAQREZlTFGpFUsRiMbBaHbhcPgpL3wY3b4C0NcnXb+EUq7b7v8lw7ado3/8IfX1tWCyGFpGJiMicoVArkkKJYGu3u5k3/wrS371x1EYNcPJg++1RzzwPD3+Q9r2/pKenRcFWRETmDIVakWnAZnNht7vJyVlC/sr18LafAm9Ivr6pGBZOEG47xptp+8RddOx/hO7ug5hmhEhk8Jzdu4iIyHSgUCsyTVitjmSfbcHCa+HmL4D93cnXP8AptiM88mG6nvseoVAzAwMBhof71WcrIiKzlkZ6aaSXTEOxmIlpRggE9tH75N3w+ugmgxON/cIDm0b+drbdCjd8hLyC5aSn5xOLmRiG7VzctoiIyFmnkV4iM5jFYmAYNnJzl5Jb/vdw9deBK5KvbyqGOyaq2oaOC72R++CBr9C+79cMDAQwDJvaEUREZNZRqBWZpiwWA4vFID09n8Jld2C59Ssw787k6xdwKu0If4DH1nO0qZ6OjleIxUwFWxERmVUUakWmucSEhHnzyvC97bNwzTcAS/L1TcXAiWba9o14ov799Lx6Px0drxCJDGoygoiIzBoKtSIzgN3uxmIx8HiKyb3gXRjvrgNuSL6+Cfj0RFXbruOqts/9E4O//ibB4AHC4V5iMVMLyEREZMZTqBWZ5iyW+B9ThyMDw7CRmVlEfv4yXOs2QfFHk8d5OYV2hO6fMHDPJzh69MXkRg0KtiIiMpNp+oGmH8gMFY2G6etro/OlWvjDfcDTydd+BuyZaEJCLmxyJT44H95YSWbp28jOXqypCCIiMu1MNq8p1CrUygwWjYYxzQiHDz9LbM+DsO/ro14/0eivUVXd8/8O31WVeDzxJ61Wx9m/WRERkdOgkV4ic0Biw4YFC64h65q74MptxOcixJ1sEdlTiQ9e+xrBB/6VtrY9WCyGJiOIiMiMo0qtKrUyCySmGAwP99Pa+gJm4yPw4r8mX98P/Giiqq0PNmUkPngr3PR3FJVchWHYsNvd5/CuRURETk6VWpE5JNELa7O5WLDgGrJXfhhuuh+4HIBFnGARWXBkm8Kj8MvbaXnlPsLh3uR0BBERkelOoVZklkjMs43FTLzeBeTPK8Ox5muw/B8AJxAPtrefoB3hVQCG4dGP0PbkfzE83M/wcL/m2YqIyLSnpc4is0RiLJdh2IjFTNLSsnE6PfS4cwnOWw6/uxf6d7IMWFY8/iKye5qBTNjkBV7+d9oGBrCvWkt+/jJsNldyl7NYzEyOGhMREZkO1FOrnlqZxUwzgmHYGBwMcuTws9D+EvzhW8BBALYBAxP02v6lXeEmeOut5Cy6joyMQoBkcFawFRGRc00jvSZBoVbmkuHhfvr62ggGDxB7/P9B1/8DYA/wswmC7VXFUJH4YNnn8Za9H693AbGYic3mGv8kERGRs0ihdhIUamWuSFRVTTNCJDLI8HA/bS/+GJ75EfASAJsBxgu3+bApMbbWeTvWd36cvLyLsNlcmo4gIiLnnKYfiEjSyH5bhyMDl8tH8aqPkvG+n0LppwDYBKwYbxFZ24j+26GfEb33Vlpf/DH9/R3JBWSakCAiIqmmSq0qtTLHJKq20WiYaDRMb28r3c1/gEe+DeymG/h6BzDO/gsLi+EDiQ8WfQLLpTdTVLQKu92dDM0iIiJnk9oPJkGhVuaqRGXVNCNEo2HC4V7aW3ZB41Pw6lcB+B7QPF47gh02FSQ+eAdctxZv8ZV4vQuwWAwFWxEROasUaidBoVbmukS4jUbDWCwG7e0vMdDVBL+5A4B24DvdQM/Yc+8qhjwA7PCGL+M8781kZy/G4chIjv4SERE5U+qpFZGTSoTPxAzagoLlZM0rw3h3PVhvIY/4zFrPOL2232k+triMYXjm8wzV/huBwD4GB4PEYmbyISIiMhUUakUEiM+etVgMvN4FFBWtwr32C3D5VwD4O2DpeIvImkcsIjPvZ2jnOzl6pIG+vjai0bCCrYiITBmFWhEZxWIxsNvd5OYuJX/FB7Hc+luw3Mw64C3FQO7YczY3ww4AuuCBm+h4/vu0t7+U7NkVERE519RTq55akTESExIikUFMMxKfkFD/dWjZDsBWYHC8RWTZsCkxutb+brjhTormX4Hd7k722KrXVkRETsW0XyhWX19PXV0dpaWlBINBADZs2HDK19m+fTuNjY00NDQQCAQoLy9n69atkzpXoVZkYiPbBoaH++nv76Drye/AvhrgMM8D90+wE9lHimE+AEVQsQ1P4Qq83gXJFgcFWxERmaxpHWpra2vZsWMHNTU1yefq6+vZunUrdXV1k75OVVUVlZWV+P1+AILBIGvWrGHXrl3s378fn893wvMVakVOzjQjyd3IentbCRxpgIO74KVtAGwOA23jnFgc39ABgGWfx3HhTWRl+XG5fBiGLVkNFhEROZFpG2qDwSCLFi0aN3SuXLmSyspK1q9ff9Lr1NbW4vf7KSsrG3P9rKwsysvLTxqQFWpFJidRtbVYDMLhXo4efZFI+0vwxF0AfBvoGK9qa4NNhYkPboCbP05O3kW43blYrQ5MM4LV6hjnRBERkbhpO9Jr586d+P3+cauo69ato7q6elLXee6558YEWgCfz8f69eupr69PtjWIyJkZWVG1290UF1+J57w3w7XbgWV8HLi9GHAdd2IkvohsDwAPwQMfoPNPPyUUaiYc7sUwbMmtdkVERM7ElIfampoasrOzx33N7/fT0NAwqTC6fft2Kioqxn1t5cqVAOzateu071NE/iLRKjCyZcDnW0jBkpuw3vYNyPprlgGbcoFxRn/9LDnTthOe+ye6f7WV/v4Ohof7p+5NiIjIrDbloXbXrl3JHtjjJZ5vamo66XVWrVo14WuJUDxReBaRU3N8oLVYDKxWB06nh/nzr8B780a49B8BO5uA4pPNtO38IcEflnP41fsZGgoRiQxqnq2IiJyRKQ+1wWDwpAu4JhNq6+rqJuyZbWxsBBi3PUFETs94i7qsVgcWi0FWlp/CKz8BN/8cuIq/Aa4qBixjr7O5GeJ/cpvh4Q/S+sjWZDtCItgq4IqIyKmaVkuPE2E3EAic0XW2b98+qcVmCaFQaNRjaGjojD6/yFxiGDYAXC4f8+ZfgWvdf4L/k1QAG+YzbjvC082wefDYB699je6H/p2Wg0+Oqtoq2IqIzE1DQ0NjstlkTKtQezZUVVXh9/snPasWoKSkBK/Xm3xs2bLlHN6hyOyTmD3rcvnIyvLje9Nd8Jb/IY1jY73Ga0foGNGO0P6/8Kt/5sgff8TgYJBoNKydyERE5qgtW7aMymUlJSWTOs92ju/rlJxpL2xDQwPbt29n9+7dJ21xGOnQoUOjRkQ4nc7T+vwic10sZuJ0erBYDNIuvI22nCVEf/ktNoXv5dlieKgb6Bl9zubmeA/u3/Ai/P5ztA8EcZz/DnJzlxKNhnE6NW5PRGQu2bhxI5/5zGeSH4dCoUkF20lXaisqKrBYLKf1mKrRWmvWrOHhhx+ecCHaRDwez6iHQq3I6Un03TocGdjtboqKVuF7z79C/oe5AtjkZdyqbXMzbD587IMXvkL419+m5fUniEbDDA/3E4kMjj1JRERmJafTOSabTcakQ21dXR2xWOy0HiOrpn6/f8KFYIle2lMNpRAP3dXV1VocJpJiiVYEq9WBzebC4ykm711fhJVfBKxsAhaP144QG7GIrOf/4ME7OLrnHnp6WrBYDIaH+9VnKyIiE5ryntqysrIJK7eJsHuqwbSyspKqqirKy8vP9PZE5CyzWh3xRWSX30XmXz0PvJX3AZ8uBvLGHv90cqZtGJ7+DN0P/TuHDz9LJDJIJDKIaUYUbkVEZIwpD7UVFRUTVmobGxtPOZhu27aNNWvWjDmvqamJ+vr6075PETl7bDYXTqcHn28h2R+6G674V7zAJidknGymbfv/Er33U7T+6af09bUlK7baiUxEREaa8lC7du1aAoHAuMG2traWysrKUc8Fg8EJw2ltbS1lZWXjBuGGhobTamMQkXMj0ZLgdudSeNmHsd72CLCCzwI3FAPWsedsbobvAfAnePozdP18M93dBxkaio93UcVWREQSLLFYLDbVn7S2tpYdO3ZQU1Mz6rnq6uoxGypUVFRQX19PdXX1qNmzDQ0NVFVVsWbNmlHHJ1obduzYwe7du094H6FQCK/XS3d396SbkEXkzIyssgaDBwjV/xccuRsT+DJA8zgneWBT8o/oTTjX/gM5OUuw293JObkiIjI7TTavpSTUAtTX11NXV0dpaWkyiG7YsGHMcdu2bWPLli08/PDDo3pts7KyTjhVwe/3J3cWm4hCrUjqJLbdDQT20f3q/fDM5wH4GbBnvGALvL8YFgFwNVyzjoKLVie36x25ja+IiMwe0z7UTgcKtSKpFYuZRKNhIpFBjuz9Jfzpd9D+v7wK3NMDdI89x1EMGxMfFH6EtGvX4/EU43bnKtiKiMxCk81r+u4vIiljsRjYbC6sVgcLLl5L2vUfg+X/wAXAhkzGnWkbbobNvcc+aP0uA/d8nqMtuwiHe9VjKyIyhynUikjKJXpjCwtXkHv5+lFb7C4dbzpCcMRMWx6BX36Mw3/8EcPD/ZhmRJMRRETmIIVaEZkWEm0D6en55C5+B8a768H+btYBHykG0see83QzbB4COAxPfZqW+zbS2bkX04wQjYan8O5FRCTVFGpFZFoxDFs82OYuJX3NF+DCv2c+sCmLcdsRaI9XbV8FOHI3vT/5JIcaf8vQUEjBVkRkDlGoFZFpJxFsfb6FeC//ELzxP4B5bAKWjRdsgXua4asAPAEPreboaw/S29tKJDKoXlsRkTlA0w80/UBkWkpMMohEBunv76Dz8LOw51E4XA0c20p3vNFfPtiUcezniz+NcclNzJtXhs3mwmIxNB1BRGSG0fQDEZnRLBaDWMzEanWQmVnE/NK3kfamv4EV/wTEF5GN244QjLcj7AfY93XMn3+Cwwceo7e3lVjMTFZtVb0VEZldFGpFZNoaWVl1ODIoKFhO7sqPwLseBPu72QRkFAPOsef+qBm+DcDL8OBtdL56Py0tu4hGwwq2IiKzkEKtiEx7iWBrsRikp+dTsuAast63FQr+hs8CN+QxbtW2oxk2JzZweOrTDP/+Jxza+0vC4d4xi8gUcEVEZjaFWhGZUQzDlmxJyCj/BCz7PFcQb0fwjdeO0BNvR3ge4v24v/0yLQ3fZWgoRCQyCEA0Gk62O4iIyMykUCsiM47FYmC1OsjJWYL7ktXw9nuAy/gUsKIYyB97zv3NxxaX8TI883na6rfS1dVEf38HVqsjGWxFRGRm0vQDTT8QmdGi0TCDg0EGB4OEnqyG/d+kG/g6jD8dwQofmQfzAXgLvK0Sb+EKsrL8Y0JtYgKDiIikjqYfiMicYLU6SEvLJiOjkMK3/SNc9gW8ZLAJcBQz9rtcFL6bnGn7OPz2vXT/eSednXtH9dkmAq1aEkREZgaFWhGZ8SwWA4cjA4vFoPiqz2K59V7I+ms2Au8vYtxFZL3NsDl07IPdX6TnuR/S2bmX4eH+UT22qtSKiMwMaj9Q+4HIrJAIoKYZwTQjdHcfJPSH78FrXwOgGmgdrx0BeH8xLALIfj9ceSu588pIS8vGanUo1IqIpJjaD0RkTkmEz1HTEa74AFz9deAKKoEbioGMsef+qBl+CBD4ETz4Pjqe204gsI9oNIxpRqbsPYiIyOlTpVaVWpFZJ7FzWCQySDjcS3vbHni5Llm13TwMHB3nxPmwyXLs55ab4aZKcvOXkZaWjc3mGnV9VXBFRKbGZPOaQq1CrcisNHKBVyQyyMBAgM5DT0Pdx4Aevg10tALjFGKT7Qg44I3/Soa/HI+nGKfTM2oBmYKtiMi5p/YDEZnTElvsWiwGdrsbtzuXkgveBTf9BFjOx4EbCoGisef+KDnTNgy//xy9T32XQGAfAwMBQJVaEZHpSN+VRWTWi8XMZPtAycJrsd3+DVj0Ca4APm0w7nQEmuM7kQFw4FsM7vwXjh59kXC4l1jMVK+tiMg0o1ArIrNeol3AanUQi5kUFCwn46q/gbf9FC9FbAIKxwu2xIPtHoDYA8Tuexctrz/BwECAcLh31FxbERFJLYVaEZkTEq0INpsLw7CRnb2YnOIrsd3+Uyj4GyqB8mIgd+y5P0u2IwzCg7fR9tQ36Ozcy+BgENOMaIMGEZFpQAvFtFBMZM6KxUyGhkKEQs307f4JvPpVTOBrxDdnGM+GYkgD4M1wwyfJm38FaWnZGIYNQL22IiJnmRaKiYhMgsvlw+MpJu9Nn4Ir/hWDLD4LXDNBO8K25Ba7T8BDq2n/00/p62vDNCPaVldEJIUUakVkThq5A5nL5cPl8pF/6fuxr/4FeN/H9cCni4H8sef2NsPmwLEPnvk8nb/8Cm1texge7p/CdyAiIiOp/UDtByJz1siZs4mPEzNtA689CE9+kgFgG8AE7QgriuEWAN4KN36CvKJVuN25GIaNaDSM1eqYkvciIjJbqf1AROQkEv2vx8+09XoXkH/hbXDLr0ljMZuAxcWAb+w1XkguInsUHryN9hd/TG9vK4ODQSwWg0hkEEBtCSIi55hCrYjIMYlgG4uZpKfnU1i4Avd77gHXat4HvD+DiWfaBo/9/Nl/oLP+P+jpaaG/vyM50/b4fluFXBGRs0vtB2o/EJFxJFoTEvNoW1/8Mfz+cwDxLXY7gYGx5y0thnUAXAjXfIy8pbficGRgtTqSrQjaaldEZPLUfiAicgYSYdNud+Ny+Zh36fvhll/DRRviW+zmgHWcqu0ryXaEl+HJT9L+2H/S399BJDKYbEVQoBUROfv0HVVE5AQSwdPl8lFcfCWZZX8FSz/HFcA/AEYx4DrupGbYPHhsJ7J9X6fr3i/S0fEK0WhYu5CJiJwjaj9Q+4GITFKiN7a7+yBdr9wHf3gUeIifAXsGgY6x56QVwwYADHjbjyk+/0YgXgFWtVZE5OTUfiAicpYZho1YzMTjKWbeig/iWrcJcj7A7cBdLsZdRDbQDJuHwcSE376X5t//J11dTfT3j5OARUTktKlSq0qtiJyixOQC04zQ2bmXvn2/hmf/AYAvA+YEi8jeUgzXAvAmuOFT5BatwuXyYbO5VLEVEZmAKrUiIufIyPm2OTlLyFv+V9hufwxcq/kCsDSHcau2jycXkf0OHlpNxws/IBg8QH9/B6YZ0ZgvEZEzoFArInIaRm7YkJaWzbx5ZXjWfBHyPsQ64C7AMdFM2+5jhdzdX6T3J59PBttYzFSwFRE5TQq1IiKnKRFqDcOGYdjIzCzCe8Pfw1X/SR7z2Qh4i4Gc407sgW3N8BMAfk245sO0H36WUKiZ4eF+BVsRkdOgUCsicgaO32I3I6OQwkveS9odPwfXaj4N3J7GuO0I+5phcwRgLzy0mq7nf0h7+0sMDAS0+5iIyClSqBUROQtGbtZgt7vJzV2K65bPQf6HWQZ8AfCP147QCpuPggnwx38h/Pj36elpIRzuTfbZjtxiVwFXRGR8mn6g6QcichYlZtkm+mNDoWaCRxrgkZ0QuY8fA41HgOjYcxcWwwcAeDvp792C252L3e7G4cgYtQuZ5tuKyFwy2bymUKtQKyJn2cjQGYkMYrEYtLa+QPiZn8LB7/AY8HgMODzOycWwCYA0uOxzOM+/AZ9vIQ5HBjabS4FWROYchdpJUKgVkamQ2Bq3vf0lBvb+Ehq+RDfwv0B3D9B93AlZ8Ol08AJwFbzpveQuuYm0tGxstuP35BURmd00p1ZEZJqwWh0A5OVdhOfitfCW/8HLRXwaKM8ECo47oQu+3g0/A+Bp+N3f0vHCD+jrayMSGZzKWxcRmTFsqb4BEZG5wGp1YJoRsrMXk5FRSEtaNrz8OFe//m2W2OE7xUDziBN6YE8P7JkHX7CCsfuLBLqDmFd/FJfLh8vlA1ArgojIMWo/UPuBiEyhRE/s8HA/R4++yHDnXnj0IwBUA60wOtwec3kx3AhABY41m8jOXozL5cM0IxiGTeFWRGYttR+IiExDifBps7koKFiOb8E18M77gDdQCdwOpI8z+uu55Ba7dYRrrqf11fvp7NwLxIOyaUam5P5FRKYrhVoRkRSwWAxsNhde7wLy5pXhfs+3IfeDLCMebM8rBvKOO6kZNofhMEPw2Hp6ntxOW9se+vs7Rs2yFRGZi9R+oPYDEUmhRDtCNBqmr6+NzpZd8OvPAQd5CqiHse0INigvhKsBnLdjfefHycgoxOtdoFYEEZl11H4gIjLNjdxMwTBsZGYWMW/htfCu/4GSj3E1cAewoBjIGnFiBOqb4asAQz8jeu91dO+5h1ComUhkUBVbEZmTVKlVpVZEUmjkZgqJXchMM0JXVxO9RxrgkQ8zAPwe+F0YaDvuAsXxdoVlAEXryXjrXXi9C7BaHaraisisoEqtiMgMMDJ0WixG8pGTs4TC82+Ed+wkLeMOrgPKHMDxi8ia4WfdxxaRtWyn9yef4siRBoaGQphmJLnxg4jIbKdQKyIyjVgsRrLC6nL5mO8vx/6Ou2DZ57kZeBfEg23hiJN6iC8iA+BxzJ+Xc/SlWkKhZmIxU8FWROYEhVoRkWlmZMXWbndTXHwlGZfeAZf+I5cBXwCW2hi3art5EJ4CePKTBBt+yKF9v2ZoKDRq7Jd6bkVkNlJPrXpqRWSGCIWa6dz/CDz1IITv5ffAbwEOAyO/kxtAEWwCoBhWfJCcsg+TkVFILGZitTpG9fKKiExn6qkVEZllMjIKKTj/RtJu+zws/jRvBD4NzJ8P5I840CTZjtBOM7zwFTp3f4+2tj3J6QgKtCIy26hSq0qtiMwg0WgY04zQ19dG18v3wjP3AC9QA7wEY2faZsNCN3wAgJvg5o9SWLQKm82F3e5WwBWRaW+yeS1loba+vp66ujpKS0sJBoMAbNiw4ZSuEQwG2b59O52dncmPA4EAGzdupKys7KTnK9SKyEyU6I0dGAjQ19dGX903of1/eRB4GeiNAkdGnGADRyFsBMABl/8z2cvuwOHIwOmMf+9L9PCKiEw3k81rtim8p6Ta2lp27NhBTU1N8rn6+noqKiqoq6ub1DWCwSBbtmxh48aN+Hy+UddeuXIldXV1lJeXn+1bFxFJOcOwYZoR0tKysVoduG7+Ap2/83Hja1/jcuA3Vmicx1+CbQTCnbA5B24nzLLn/olAyyEcV/01eXkXYbU6kptAKNiKyEw15ZXaYDDIokWL2L9//6gwCrBy5UoqKytZv379Sa+zfft2qqqq2L17N36/f9RrWVlZ+P1+du/efcJrqFIrIjNZYopBJDLI4GCQjpdq4fffBvazA3gFxm1HSHND/P/Frsd490bmzStLTloQEZlupu1CsZ07d+L3+8cEWoB169ZRXV09qeskgmyidUFEZK5JtAzYbC7S0/MpuOS9pN2xA5Z+jnXADRAf+5U24qQADBxbRDbAw5g/r+Dwvl8TCjUzNBRKxdsQETkrpjzU1tTUkJ2dPe5rfr+fhoaGSQXV8vJyurq6xu2dDQaDrFq16kxvVURk2ku0DCQ2a8jJWYLvDR+Bd+zkCuIV2Ywc4uE2Y8SJzbAN2EMMfvteQg/+O8HgAQYHg5pjKyIz0pSH2l27do1pF0hIPN/U1HTa19+2bRsAVVVVp30NEZGZItELC/FeW8OwkZXlJ7/kKrjl16RxFZ8F3gYs8jF6w4Zm+FkI6gA6f0j//32YIy276O1t1S5kIjLjTHmoDQaD47YejHS6oTYYDFJdXU1NTc2EwVlEZLZJVGpNM4LV6sA0I6Sn51NSchXu93wDSj/FG4HrgUthdLANwdP98XaEbl6E+2+k48Uf09XVRDjcm4q3IyJyWlIy/WAiibAbCAQmfU5irFdjYyOBQIC6ujoFWhGZkwzDRixmYhjxb+02m4u8vIvou/bv6Lr0Fubf+3nm8Sz7gUgx9CcWkQWAIHy9EN5iwLXP/RM9f2yg98aPkpd3EW53rqYiiMi0N+O/S/l8PjZs2EB1dTWVlZVUVlZSW1t7StcIhUKjHkNDQ+fobkVEzq3jw6dh2OKLyAqW433/DzCy38/fcWwDsmLAeexAE2iBxwfhKwDhe4nd9x7aXrmPnp4WTDOiXlsRmRJDQ0NjstlkTKtQm1ggNtFCspMpLy+npqaGNWvWsH379kmfV1JSgtfrTT62bNlyWp9fRGQ6Mgwbdrub9PR8PO/cAKWf4gPA+4HCPOLhNvG3QQdEA7DZhFfphN/9LZ1Pfovu7oPJLXYVbkXkXNqyZcuoXFZSUjKp8yYdaisqKrBYLKf1mMqxWz6fj9WrV1NZWTnpz3vo0CG6u7uTj40bN57bmxQRmWKGYcPhyMDrXUDeWz8Lb/g3FpHBncC7AEsRYD92cD/QAvf0QDXA3v8k+P82cPToiwwNhZLBVuFWRM6FjRs3jsplhw4dmtR5kw61dXV1xGKx03qMXBjm9/snXAiW6KU9057Yyy+/HIjvUjYZHo9n1MPpdJ78JBGRGWbkTNviVR+FG36A4XkvlwF/DWQUcKwv4ZhuaA3EF5Fh3s9w7Zs58uy36OpqYnAwmFycJiJyNjmdzjHZbDKmvP2grKxswgpqIuyON3v2eFlZWaxZs2bc1xIh+kxGg4mIzFYWi4HV6mDB4neQduOn4c3fYRFwF7DUAb5iwHvs4H7g2GYNjwE0fInQvV/m6NEX6etrGzVSTEQklaY81FZUVEwYNhsbGykvLz/pNYLB4AlbCxobG4Ezr/iKiMxWiQVl+fnLyL/gXdhuf4w0ylgHrAbSMhkz0/bxHvgvgL4dxO67JblZg6q1IjIdTHmoXbt2LYFAYNxgW1tbS2Vl5ajngsHgmDYCn8/H+vXrqampGfdz1NfXJ3trRURktJG7kFksBmlp2RQVrcL9nu1w6T8yHz8bOLa7bjFgPXZiNwRb41XbVxkgXHMNrc9/n56eFqLRsPpsRSSlpjzU+nw+7r777jE7ftXW1uL3+8cE0TVr1lBRUTFmmkFVVdW4i8G2b99OQ0MDDz/88Dm5fxGRmS7RMpCYZ5vYiSwv7yLmvfFTcMM24Go+AawALPOArGMnR4AjcM8wPAvw7D/Q9YNPcvToi4TDvQq2IpIyKdl8YfXq1fh8PqqqqigtLU0G07q6ujHHVlRUsGvXLlatWjXqeb/fT3V1dTIcB4NBAoEA2dnZdHV1nXTXMhGRuSzRfjDyR4vFwOn0UFL6Ng69wyTtqQXc0vN/LAUa0mFvOnAUGI7/+FAx9ADX82uGdrZz9LZ/Jzd3KVarA7vdnQzN40lUi0VEzhZLLBaLpfomUiUUCuH1eunu7p70yjoRkdnONCOYZoTm5j8Qe/138PyXaQX2AQ8D9AJBIJP4GDA3x9oVsuHSj5Fd9iHS0rKx2VzjBttEoFWwFZHJmGxe03cTERFJSrQlGIaN4uIrybx4DVT8mEKuYCXwPsCaAeQRL9MGgGbYBuwhAH/8FwIP/RuhUHNyF7Lj2xEUaEXkXEhJ+4GIiExPI/ttLRYDn28hmZlFtGYUkrbnVyx+7VvcyjDPOKG5GGgHhoBe+FkG7AbWtn4XnnQx/Ia/IiOjEKfTg93uHhViFWhF5GxT+4HaD0REJjSy0hoKNRMMHiB2383sY4gDxBeLDQ8Rb0dwAC7ISIOPcGzU7XXfJ7NoFR5P8ZhgKyIyGWo/EBGRMzay/9XrXcC8eWVYb3uIxRRxNfEtdt1OoAAwgR7oDcMPgecBHvkwPY9+m8ONv8U0I0Sj4dS9GRGZ1RRqRURkQoZhIxYzsVodANjtbgoLV+BYs5M05+0sA9ZzbJ+GHMAJBKELeACoAczD1fCbOzj45NbkTFtAo79E5KxS+4HaD0REJi0RRMPhXnp7Wwm9fC/s+j4mB2gAngS6AWLEe21dMA9YAlwL4P8kzlV3kJOzBIcjA/hLf60Wj4nIeCab1xRqFWpFRE5JInwODYWIRsN0dLxCtOFeOPAtDgG7gBcBOoAwkAF4YCHwAQCugxvuIrdoFRkZhaOmISjYisjx1FMrIiLnRCJ8Op0eXC4fBQXLyX7rp+Gt36WEBSwErgDIJT76awhohQPER38d5hF4aDUdx7bYVaAVkbNB3z1EROSUjQyhDkcGbncu8y54F7zzG1zGdfiBmwCXnXiwtQHNMNAH3wV2ADR8ic4Hvkx390EFWhE5Y/oOIiIipyWxtS7EF5A5nR7OK30b9tVf5ALLzVwEfBDwQbxq6yM50/ZV4CtAe/v/0vXjDbS17aG/v0OLx0TktCnUiojIGUkE20TILSpaRdq6L5C24C4K8HAbsAooyACygQyIBSAahf8G9kTuo///PsXRIw2jpiOIiJwKhVoRETlrEsG2oGA53mv/Fm7ZSQmFvBN4O8d6bQEygZ74kITngFd5Ch64ic79jxAKNTM4GEzNGxCRGUuhVkREzqpE5TYry39ss4afwuJPswg4DygFLHaO9SXAQeCPwK8BHv0IwZ1f4MjhZ5NV21jMxDQjU/9GRGRG0UgvjfQSETknElvsRiKDDA4G6WzZBb9ey1Fg77FHEOg9dnwR8dbba4A8rHDN18g4781kZBRit7sxDBuGYUvJexGR1NGc2klQqBUROfcSldbh4X6OvHo/PPrfwG5aic+zbQTajh1rO/a4BrgagGvhhr8lq2A5GRmF2GyuqX8DIpJSk81r+ieviIicUxaLgdXqiC8iW3orLZlF0PwHChu+RCbgADzAPiACRIbgaSe0AFfxGPMfeoyu8z5O7NpPkJlZlNyyVyPARGQkVWpVqRURmTKxmMnwcD/hcC+BwD6i934JeIzfE187dj8wPOJ4J/Ftdj8AYLmZ9PdsxuMpTm6xq3YEkdlPO4qJiMi0k9isweXyUVS0ioz3fR2u3MYbAS/w1pEHx2CoJ74T2WaA2AP0/fRDHDn8LOFwrxaQicgoCrUiIjLlbDYXNpuLrCw/WUtvhet/QAnlZANXEZ+QgIXk6K8M4sG2mz/CA+/jyP5H6O/vwDQj2rBBRACFWhERSSGbzUVGRiFFS27CePfnuYDrWQFcfOwBQCb0DsZ/ejfwKt3wm/fS8cIP6Oh4hYGBQCpuXUSmGYVaERFJKZvNhcORQXHxlbjfs5U8buIy4BLgWsAPOFxACPqAPwMvYcLuLzJwzwc5+voT9PS0qBVBZI5TqBURkZRLTEjIzl6M9/3bYNnnuYAc3gK8i2PtCJ54R0I78DLwB2APL8Fv7qBjzz3093cQiQwSiQyqJUFkDtL0A00/EBGZFmIxE4vFYGgoxOBgkGDwAOaBx+H5R9nDk7wG9AADQOuxcwqJb0y2DiBtDe5bq8jMLMJud2OzuTT2S2QW0OYLk6BQKyIyvSSCbSQySDQaJhIZpO3oi3D/jbQSH/f1DPEWBAD6wJ4eb1FYCxgsgLf8AwUXvAun05OcaSsiM5dGeomIyIyTqKzabC7sdjcul495RavgDf9GIYWUAJcBy4jPsCUdhmNwGPh/wB4OwuMf5eieexgcDBIO9xKNhlP1dkRkCqlSq0qtiMi0lajc9vW10dHxCuaeX8Nr/0EX8VaEx4n32PYcO95OfIHZzQBpa7De8DHmzSsbtauZiMwsqtSKiMiMlwihbncuhYUryL/203DZZrJ4C16gAlgIlBw7fhh4Efg50D5QQ/Tem2j+804GBgJEo2EtIBOZxRRqRURk2kvsROZ255K94n041vwL3vR1eLFxA7Cc+KIxKxABXgXqgKfoh8fW0/Hwf9DdfZCBgYCCrcgspVArIiIzQqJq6/UuICdnCTnrtpBWcidp3IAdeAvx1oMLiAfbo0A38CDAgW8R+n+fp61tD4HAPs20FZmF1FOrnloRkRkl0Wc7PNzP8HA/oVAzA/dcwX5gEfBH4mO/niEebn1ADLgBmA+w9HN4Lv8gWVl+DMOWmjchIpOmnloREZmVEhXbxHSEgoLlGO+uZxHLoOjjXApEgSuPHd9MfDrCT4DHAF75D0IP/Udyswa1I4jMDgq1IiIyYxmGDYvFYP78K8j+0H1w+c1Q8kmuAGzARUDasWMHgBeA/wHMjh/Q/uhXOXKkITkTF1DAFZnBFGpFRGTGs1oduFw+SkquIv1NH8RuX8tS4pMR3gMsAXKI99jGgF8DZuN/EfnZl2l+/vsMD/cTiQxisRjqtxWZoRRqRURkVnA4MrBYDLKzF2N7112kcykXArnAO4lv2rCEeLANAPuBRh6Gp/+ZI7/7KgMDAYaH+7FYDFVsRWYghVoREZnxEn22VqsDq9VBUdEquOEL4PsAadyCBx8XEZ+OkAd4gAbgELCHXsw/b6Xj3i/Q1raHwcGgqrUiM5CmH2j6gYjIrJOotB49+iIul4+uZ74PL3+LDnppIT7u6yjxyk46kAVcCnhZBOWbySxcQVaWH4vF0IQEkRTT9AMREZmzEpXbwsIVpKfnk/WGD8Pbv0su7+A84i0J84Ejxx7PAk8BzezHrH8/PTWbOXr0RSKRQUwzonYEkRlAoVZERGalxKIvu91Neno++QuuIf29/4rX89csOXbMRUAYcAKvA0HgOaB96GcM7VzL4VfvZ2AgAKCWBJFpTqFWRERmLcOwEYuZ2O1u0tKy8fkW4rmlinTj3ZQRXzh2OfGJCPOIj/xqIr6IbA/N8PCdtL34Y3p6WohGw6raikxjCrUiIjKrJVoRDMOGw5GB17sA5+q/x5v9fhYB5wErgGEgGzCJtyI4gb0MwzOfp/MHn+bIkQb6+zsAVW1FpiOFWhERmVNsNhcFBcvJuOEzGEs/RxHzKCXeilDIXzZteIr4TmQHgMPm/UTvvY72pnp6e1sBbdQgMt0o1IqIyJxjGDby8i4i56q74Lp/YT5QClxAfJ5tL3A+8Zm2DcQnJfwe4JEP0/HIVwkE9hEO9wIKtyLThUKtiIjMOYkNFjIzi5i35Ca4+uu4KCWda8gD3nzsuFKgAPgT8QVlvwPY/016fvweOjpeYXAwCPwl2CrgiqSOQq2IiMxZFouB3e6mcNkdcOO/Q8VHyWIhYeIVW/exRyHwNPHK7X1AK38mXLOeI/sfGdWOoN3IRFJHE6VFRGROSgRQq9WB0+lh/sJrATg8EGD+k78C+lnA7xgAOom3JrxEfEeyp4E38RJ5v/kcHZd9iOilf43bnYvN5kpOXEgsUBORqaFQKyIic9bxkxFiMZN5y+7gSPZiGAxib7oC+767WUmIVwEv0Ax0AQcBaCbv+S/TZbHQ6y/H4ynG7c7FanUo2IpMMYVaERGRYywWA5vNRdH8KzDNCD25S+lzu8l6sZqLaCMMOAAL0AIMEp9pe0XDlxhueJ7OZRdjecNHcTo92GwuhVqRKaQ/bSIiIiPYbC5sNhdOp4fc3KUUXf0puPgjeLiGXDJ4E5BGfAHZU8AQ8GsAHqB7z7/R8fB/MDgYHLVRg/psRc49hVoREZHjWK0ODMOGYdiw293Me9On4W13wRWbgLdSRnyzhquI99kuBH517LmBA9+i87Fv0tPTwsBAANOMaAGZyBRQ+4GIiMgJJPptz1t6K52de+k1I1h2xbiax2gkvoBsL+ABnie+Q9mSpmqCHQG48EIoXMGCBdeoz1bkHFOoFREROYnERIPc3KXYbC6C0TAELqb09R8D3diAJuK9toPAAfpZGPohA89AGstofvfXKSxcgdPpwTQjGIb++hU52yyxWCyW6ptIlVAohNfrpbu7G4/Hk+rbERGRGWB4uJ/e3lai0TA9nXsh1AxPfYcYezlEPNQ6iG/W4AXagWWcj3PtD/F6F+B25xKLmQq2IpM02bymP1EiIiKnwGZzkZFRSDQaxuMpZni4nzarA8sTD7GABzgAhI49XgZ8wKu8xgU7/562az9A9qLrSE/Px2Ix1IogchYp1IqIiJyCxNgvm82VbCUoungtLb6FcH83aTzBUeIV2zBw+Nh5+TxF1mOvEDj8fgIXvZ2iolXY7W5VbEXOEv0TUURE5BQlqqxWqyO5i9j84ivhln+gAD9FwAJgMZANZACtQAudDLz2NfjFv9Gy5x4GBgJEo+FR479E5PQo1IqIiJwB04wkK64FBcvh7f9KCbnMBy4E3gTYgSjxqm0QOMpj8Lsf0Pbof9DdfRDTjBCNhhVsRc6AQq2IiMgZMAwbphlJbtgwv/RtWG79KekU4+J6DGA58WpthPhOZK8DrexiYN/X6b5vC4def4JoNMzwcH8q34rIjJay6Qf19fXU1dVRWlpKMBgEYMOGDWd83W3btlFWVkZ5eflJj9X0AxEROdtMM0I43Etr6wvEmn4H3QF4vZ7DvIoDeIF4RekI8bBbCqRzMaxah/v8G8nJWYLV6tAiMpFjpvX0g9raWnbs2EFNTU3yufr6eioqKqirqzvt6waDQaqqqkZdV0REZCoZhg2Xy0dBwXL6Mgqx2Vx03dvL/FAfR2lmOfGpCIuAg8RbEzL4MyW7/pn+XfcwcOvXk4vIFGxFJm/K/7QEg0HuvPNO7r777lHPl5eXEwgE2L59+2lf+0zOFREROZvS0rLJyVlCZmYR6Td9Ci58PwXMowC4jPgCsiJgD7AfeBz4Iy8Ru+/tHD70NENDoRTevcjMM+WhdufOnfj9fnw+35jX1q1bR3V19Wldt76+flItByIiIlPJanWQm7uUvKs/Cjd8E3yVeFnBhYALOB8IAD3EWxJ2EYMHNnOk8beEw73EYibRaDiVb0FkRpjyUFtTU0N2dva4r/n9fhoaGpI9tqeioaGBsrKyM7w7ERGRsyMWM7FYjOTuYenp+RQtvBZHxV/DDZvBeQcXAUuBtwLzASvx2bYdPAd1Wzl88ElaWnYRjYaJRAYVbkVOYMpD7a5du/D7/eO+lni+qanplK65ffv2s7LITERE5GxJBNpEX6zFYmC3u8nPX0be/Muw3fRRmH8XLi7DC6wAnEAO0A0c5U/wyw2EH/8hh1/8Mf39HVgsBpHIYMrek8h0NuULxYLB4LitByM1NTVNuura1NQ0YeVXREQklY5f6GUYNmIxE5fLR17eRXS/+cP0v+CBl7Pp4WGWE29DOAgUAg5eIavtFcy2FXQOBuksWkVu3kWkpWVjs7lS8I5Epq9ptTdfIuwGAoFJn1NbW3vGVdpQaHQzvtPpxOl0ntE1RURExmO1OpIV3NzcpfRf9VE6hobwNO0GggwT342sCRgC+oA8XsDcNUwaT9CxZDm5b/okbncuhmHThASZdYaGhhgaGkp+fHxOm8iM/pNQW1vL6tWrz/g6JSUleL3e5GPLli1n4e5ERETGl9hi1zBsZGYWkf2Wj8PSjwA3k8dlOAA/8VaECPAKkMafGaAe9v4nHc/8TzIYm2YklW9F5KzbsmXLqFxWUlIyqfOmVaU2sUBsMu0EwWCQQCAwYX/uqTh06NCoYb6q0oqIyFRIVFk9nmKMq/+WzqV74zNu76kEXmKYIbqBTOKjvzKI/8VdtGcbRy+8Cbc7l8zMIiwWQxVbmTU2btzIZz7zmeTHoVBoUsF20n8CKioqsFgsp/U4nWkGJ7N9+3bWr19/Vq7l8XhGPRRqRURkKlksBunp+cybV0Zu7lKyPrgDLv0cdtc6cinAQ3z811EgCPRiEv7tdwm2v8ahpnr6+ztSev8iZ5PT6RyTzSZj0pXaM9npayS/3z/hdINEL+3Jqq8a3yUiIrONYdiSu4hlZBTieuOnOJL/KBxcQOTVfycd6B15Qve98EQYejtouz5E4eJ34HR6ktcaOXlBZC6Y8vaDsrKyCSu3ibB7ssDa1NTEjh07xmzUkLjuli1b2LFjB9nZ2ae9mYOIiMhUSsyzjcXMZL+td94ldNtcpL36FMM8jZv4PNsoAGG6e3fiJYL58EFaHRnkF1+Jy+UjGg2PWpAmMhdMeaitqKhg69at477W2Ng4qV3BVq9ePe4CsWAwSFZWFhs3bjwrC8hERESmynhzbTMyCgHoLv8oGfUvs4QuBvBgZZgWBphHvNd2Ga/AQz+l7fyn8Fz5N3i9C4hEBrFaHcnrK+DKbDflv7vXrl1LIBAYtwWhtraWysrKUc8Fg0Hq6+un6vZERERS5vjQabO54juRnX8jxvkfhJxK0tJuxEomRRTTAswj3msLj2G+9nNCv/kv2tr20NvbyvBwP9FoGNOMJEOzyGw15aHW5/Nx9913U1VVNer52tpa/H7/mArrmjVrqKioYPv27Se9diIon8qcWxERkekq0Wdrt7speOvfw8q3kLXuS9gX/zVQxnycWIF0oIMARznAcNt3GXrgW3Q9+l+0tOxiYCCAaUaSwVZktkrJSK/Vq1fj8/moqqqitLQ02Qs73mK0iooKdu3axapVqya8XkNDA1u2bEmG2qqqKurq6qioqDhrExJERERSwTDif1W73bnMX/wO7HY35lV/Q3fxM/B8Nr7uXwEWArRhAgFiFAz8FPP1DIzX/0z7okvwXFOJx1M86nois40lFovFUn0TqRIKhfB6vXR3d096XISIiEiqmWaE1tYXGAodhb1PQNMfiPB7XgGygQ5gEfGNG7JIB8t12G//e/LyLsJmc43qtRWZ7iab1/TPNRERkRnGMGwUFCyn23WQWN75hNLSiP35jyygn1Ygj/g2u/GtjPowYg/grbXQcv1t5C26Drc7Vxs2yKyjUCsiIjIDWa0OfL6FGIYNc8Vael9+Fbu5CwevEwQWA4eALsALmNxP1sOdtC/dQ+7Vf4vd7sbhyFA7gswa+ieaiIjIDJUIpLm5S7Hf9inwvhUXN1BIEQ6g4NhxMaAViPAUA698lY5n/ocjh55mcDBINBpO0d2LnF3qqVVPrYiIzALRaJjOzr307fk5ONzwpz8yPHQPdmA/8dFfTcBC4lvuGlwDK65l/lWfwWp1aLMGmbbUUysiIjKHGIaNnJwlOMr+GsOw0VVyOfaftzPMwywEXgZy+UuvbR5PYn/hSQ4fOcK8d29J7mSmYCszlX7XioiIzAIWixHfWte7gPT0fIqLr4S334UdH51ACTAIZBz78TUgBJhHv8eRez9Pf38H0WhYGzTIjKVQKyIiMkskJhpYrQ4sFoOseZdA7u3kApnAAuKLxlyASbwtoQMw256l8zf/ycBAfPMi04yk6B2InD61H4iIiMxCFotBRkYhoTe/j+hTwNFO4AhZ7MGgD4BeIAi42IPncC8dO7qx/9VXMc0Idrsbm82lVgSZMRRqRUREZqFExbawcAWhilz6+tow//wb2HceXvMgXl6liy7SAAcwzAHsvYMcqf9XuPgdOJ0e8vIuwmp1aOyXzAj6XSoiIjJLWSwGdrubrCw/GRmFRHOX0lb0IKTnw6++ShZNQDcmDiwE6KcV177fYuz7DUMX3UrPKt+Y7XW1kEymK4VaERGRWSyxgMzhyMA0I5Qsu4NoNEyL/3fQ5AVaMSigh1/hxEYvLzEAZL/0Ot0uN7YV7yMtLRuLxcA0I5qQINOWfkeKiIjMAYZhS86jdTo9uC5fAxevANsiyD8PLxfgwEYUGAC66YeXXqXz4DO0te0hGg0TjYYZHu5XoJVpSb8rRUREZjmLxUhWVxOBNC/vIuwXvg37rZ+AgV7wXINBEXbiPbYOYHhwF+zfTbizma6uJg6/ej/RaDg5HUHjv2Q6UagVERGZA46vrhqGjYKC5Xi9C7Dd8AlwpwHLyeAKikjDAOwUYzY2QHAvvS/WwsM/58iffpqs2ppmROO/ZNpQT62IiMgclOi1TU/Px2p1cPTK2+G1Ohj0Q+sSMvp6gHaMeSvgQDMEdgNReOoemn0LyZtXhs3mAsDp9KglQVJOoVZERGQOSoRaAJfLR3ZWCZGy9xKJDNLf2wrBwzAUgqZGMAzAwiAv4CIbHv0F7Uv/BK503Oe9Ga93AS6XL6XvR0ShVkREZI5KVFctFgOPp5je3lZycpYQzV1Kd/dBwuFeBixO6GiGjjRcQDddePt3QcMLgEn/079gePWXmTevDMOwqWIrKaPfeSIiIgJAZmZRcmyX17uA3NylZCx+M1gt4FgIXIAXCwO0Ac8T5I/08TjDD1YzMBAgHO5Vj62kjEKtiIiIJCckJFoSEjuJZWcvhpLlcMkywAu8gzQcDAD9QABg0KQrdJSW15+gv78D04xoMoJMOYVaERERAcafkGAYNnIXXg15S+CN7wNnLtjeTBpO0oA8bECUyKv3wUu/o/357zM0FFKwlSmnnloRERGZkMVikJFRCPMvw7HoTbQ4c+CZ30DkrWSxG7gMMt3wx6eBEBxYTKvrHrKX3ER6ej42m0s7kMmUUKgVERGRE0oE21jMpPCCclqDB2CvCdlrweWGri7gT/RhkM4ReCmLAHZChRdTULAcm82V7NUVOVcUakVEROSkEruRuVw+0pa+jYH0LOzzLiEWM4n86rvAtaRzP8OUYe/6A7wSI9LZzOHgYfL9bwHAbnfjcGSk9o3IrGWJxWKxVN9EqoRCIbxeL93d3Xg8nlTfjoiIyIwQi5l0du4lK8tPLGZy5EgDked+Dphw8HlMBjCwAQWAActXQP4FZBZeTEZGoTZrkFMy2bymSq2IiIicEovFICdnSTKYFhauIPSWXEJHX4ZD7RixlxmmAzuvM0CQtBc7gd/Ts2g5kTesITd3KVarQ8FWzir9bhIREZFTNjKQ2mwuvN4FeAouhKULMcnBTh59tGJnkD5+xzCvwv5nGXjg2wSDBzTPVs46hVoRERE5IxaLgdXqiM+0XfhGjPOWAzk4cNAPpGPBzlFMfg99R+l5+H/o6moiGg1P6voaDSaTofYDEREROWOJzRtKSt/KIcMGsRj2g+3YGQTSgBYMuoHdcMRCz577MS+6kawsPzaba8JWhMQ4MI0Fk5PR7w4RERE5awzDxrySyyEvHy65CVgKmRcDTiAd6APa4LVX6HvmpzQ376avr41YzBxVkU38XIFWJku/Q0REROSsSIz9cjo95F321+Cbj+XWj4LTDawEMgA/MAR9R6HxV7Dr57Q/910GB4NEIoOjwu3IYCtyMmo/EBERkbMmUVlNT8/HdvG7Mc0IwesyGHr6/yCSD63tQD/wHDFysRz+CRzOpDUtA0vhCubPvwLDsBGLmRiGTYFWJk2hVkRERM6qRLB1OuMzRa1WB91v/hB9oWZ47Uno7YfDrVjYQx9hnHRh+8OXiV3wSQ4DeXkXMTgYxOtdkKz+ipyMQq2IiIicdSODqMORQU7OEjIzi2i1OGHvo0ABJntxEKYHgB6y9jUSsztp2/c4LHozAwMB5s+/Qj21Min6HSIiIiLnVGLkl9PpYd78y6CgFLKLMFiKnXinbRaXAga0vg77muGBKoabXyQUah63z1bkeKrUioiIyJQwDBt2u5uCpe/kKMPwTA8M9WJnCLIug/R0CARh8BcMY2D/Qz2BzDwCtheYv+g67Ha3piHIhBRqRUREZMokK7YXreZI8Ai8bIXhMKT7IL8AmluAXOwcAKLwh19BTy+HV/yJkms+i9XqwDQjWkQmYyjUioiIyJSyWh1YLAa+y95H0Pg/sGWCbz60H4CLL4E/72WY87HTCj2NQBe80Mzhxe+gMO98TDOC1epIVm5FQKFWREREUsAwbGRmFmFesiY5vqs7oxCiYTjYgr2nBZMIBjDAS6SxCLNlF102KwM97WRmleDzLcRqdQCaZSsKtSIiIpIiNpsLn28h0WgYu92Nw5GBYdhou95C7Hf3YXjsmPvrSaMU8EJvJwN7HoCBXnpc6ZiX3obPtxCbzZW8psLt3KVQKyIiIiljtTqS1Va3OxfDsFFQsJzWlR3Qsg+DC4AuWHgxGFZoPcJA27OkMY++cJi+RSsoWHgtTqcHq9WhRWRzmEKtiIiIpFyiBSEWM3G5fBQuuo7WjkaYXwzWErhgFThz4I/fw04XgxzG9dogvPY8R68Pk7vwWiwWg4yMwlS/FUkRhVoRERFJueNHdTmdHjIuvJlex6OQW0pRyVWEQs30LvVje/k1hukH9gBt8HAbHVf1YBStwjBsuN25KX0vkhqqz4uIiMi0MLJtwDBsZGX58ZxfwbziK3E4MsjOXgz5C4A80rgcaKMdgD/C0z/FfLaGnv5uIpHB1LwBSSlVakVERGRaSiwkS/Tc9vW1wWAY5i8GE8wjxeTRTAiwso/0Q/PpP/oiTpuVaDRMVpYfw1DUmSv0Ky0iIiLTViLQAvT0d2MrLiPS3wHzL8NIMzCbvkEGYLAQYoMQG6Jrz/0QG8J6yRo8nuJkBVgLyGY3hVoRERGZEQpySznc+mdyLv8ghmGjfSiE0XQDWNMhZod5OdC8Fw6+DkMRuswInjf9PUNDIex2t3Yhm+UUakVERGRGsNlczC+8mFjMxGZz0ZG9mNj5l0DuQuhtgbyL4bWnoL8T6IXQfFpbX2Coqwlf0Sq83gVEo+FRc21l9tA/V0RERGTGsNlc2O1uALK98+Cit+MoXk7uFR+B4RBk5RKv2bnBNBl6+icQChD8/Xb6+tro7+9geLg/pe9Bzg1VakVERGTGsVgM3O5cYjHzLyO8cpfCQAgKF0FPELBiNr+E0bwXipbR0VQPwcOkXXAD+fnLtIhsllGlVkRERGYkq9VBenp+snqbl7MI5i2H0iVwxXVw4AAGw/SxH9Ls8NyT8Np+Bn7xTfr7O4jFzORDZj6FWhEREZmRLBYDq9WRXPyVnp5Pbv4FZJ1fQeb8y8DhAMKkkw+ZHjBi0HsIBg7Q/tpjRKNhotEwphlRsJ0FFGpFRERkxjg+fB4/zSAjoxC3OxfT4oQlpUA6ZC6GtEy4/G3AQfBdAG0v0dPTQk9PC62tLyjUzgJqJhEREZEZIbGN7sjtdEdKvGa3u3HZ7fQtehMcOQyLLgabCwwr2N8Awddh8QUEX/ktmAMQaKf9ChcFBcsnvLZMf/pVExERkRnhRIF25DGJRWQe7zy4+r2Q6ydj0XXQ1QaGickw7PkjRIfgud/D/mb6X63HNCMAyR9lZlGlVkRERGaMyVZRrVYHXu8CPJ5igj3t5GaV0OvJgqEhDHyQmQn9QaAXDBfYrAwP92OaEZxOjyq2M5B+tURERGTWSSwiMwwbednnEYuZZMy7BK6+DopL4LLrIM0LC5dBpA9j/mW0HPkTrc27GRoKqcd2BkpZpba+vp66ujpKS0sJBoMAbNiw4ZSusWbNGrKzs6msrKSsrIxgMMiuXbuorq5m48aNlJWVnYM7FxERkZkgEWxNM4Jh2MjOXhzvuV18PXa7m3aHEwb74YKlmF2tEItCVzOtVgfnLbxa1doZJiWhtra2lh07dlBTU5N8rr6+noqKCurq6iZ9nWAwSG1tLdu3b08+5/P5qKmpUaAVERERgOQmCxaLQVaWH8OwEYkMUnzem2keCIBnEXarheHXd4HTBeFeWltfoKhoFUBylm2iX1emJ0ssFotN5ScMBoMsWrSI/fv34/P5Rr22cuVKKisrWb9+/aSuVVVVRUVFBQ0NDQD4/X5Wr1496XsJhUJ4vV66u7vxeDyTPk9ERERmpsQisERAHRwM0t/fQVpaNt3dBxnY9zAM9UH+ctILFpOXdxE9PS3JdgSPp1jBdopNNq9NeaV2586d+P3+MYEWYN26dVRXV0861AKUl5dTXl5+Fu9QREREZqvjt8Z1Oj1YrQ5sNhc9PS0QjcH+w9AzQJ/Lh9vdRmfXIXj1t7D4WiwWA4+nWK0J09CU/2rU1NSQnZ097mt+v5+GhoZkj62IiIjIuWSxGNhsLiwWI75hgz0NPJlgteH2ZDM4PAxP3QOhAWj8HZ1tryarvdpid3qZ8lC7a9cu/H7/uK8lnm9qaprKWxIREZE5LFFxzc9ZBPOWw9LLYdlbyc5eTG93I2SmxzdxsAG9nQQC+0Ztr6u5ttPDlLcfBIPBcVsPRmpqapr0Qq+mpibq6+uTHzc2NrJx48aTfg4RERGR482ffxlDQ6XYbC7sdjcx7NA/BEUFMGRCsImeaJi0tGz6+zsYHu7XTmTTxLTafCERRAOBwKSOb2pqoqGhYVQPbkNDAytXrmT37t2TDrahUGjUx06nE6fTOalzRUREZHYwDBtWq4O0tGysVgcAVrubaGEhuLIgGoRQPwztpe3lIRgKQethjr4R5s3T1KWzZWhoiKGhoeTHx+e0iczof1LU1NSMmXZQVlZGWVkZd95556SvU1JSgtfrTT62bNlytm9VREREZgCr1YHV6khWXfOyz4OF12CfvwzreddDeADsGdD4Ejz3Ozh0hKGXHkr21qrH9sxt2bJlVC4rKSmZ1HnTqlKbWCA20UKyyaqoqKCysnLSxx86dGjUiAhVaUVEROaukW0ELpePwvwLsNvdDAwE6FhxK+x/BAoK4Egj2Kzg9hAO9+J0epIbPagV4fRt3LiRz3zmM8mPQ6HQpILtpL/iFRUVWCyW03pM9TSDRChOzK89GY/HM+qhUCsiIiIQD7gulw+bzUVmZhFZngLsS24Cz3yYtxDyc8BTQGv7awwNhQiHe7Vw7Aw5nc4x2WwyJh1q6+rqiMVip/UY2dvq9/snnG6Q6KWdaDrCSJWVlVRVVY372qn25oqIiIhMJFF1Nc0IPt9CcnzzgQgsWAoDfdBxkFj36xxp+SOt7a8xPNxPLGYSjYaT11Bbwrk35bXxsrKyCSu3ibA7mckHO3funDAcJ55ftWrV6d2kiIiIyHEMw4ZpRrDb3VgLlkP3EXD7INQFLa9AxyvQ/Tqt7a8RjYYJBg8QiQwm59mqgntuTXmoraiomDCMNjY2Tnp3sPXr11NTUzPua3V1dRPuWiYiIiJyugzDhs3mIjerBAouhOJF4EiDAj90HYbml4mFu2hp2UXo6Mt0du7FNCOEw73arOEcm/JQu3btWgKBwLjBtra2dswCr2AwOGoObcLll18+bs9sMBiktraWrVu3nr2bFhERERkhLS2bbP9VMG85zuU3xkd+WRzxJfjBNqKvPQaHdtHf+CT9/R309rYyOBhUxfYcmvJQ6/P5uPvuu8f0w9bW1uL3+8eM6FqzZg0VFRVs37591POrV6+murp6TLC9/vrrWb9+/ZjriIiIiJwtFotBeno+BfkXkJd3EXZPMSxYARkl4HBCdze8vA9aGuk4+Ay9Az20NT1OJDJIb2/rqH5bOTtSMtJr9erV+Hw+qqqqKC0tTfbY1tXVjTm2oqKCXbt2jdsfW11dzbZt29ixYwfBYJBAIMDGjRsVaEVEROScs1odOJ0eDMNGblYJIUcGsawF9Pe0Q1oGEAUT2LeLWFEQQm0ctj1KWu5STLMFr3eBRn+dRZZYLBZL9U2kSigUwuv10t3dPelxESIiIiIJie1xE32zNpuLoaEQbYeeg+Zd0DcA8xfDoUYoXQWBRshfAu48iudfhs3mwmIxtM3uCUw2r+mrJyIiInKaEkHUYjHiUxGsDtzuXPKKV5K5Yh34vJBVilF2A7S+CHkLoTcAPS10dLzC8HA/phkZtYhMi8lOj0KtiIiIyFlgGH/p6kxPz2fYtJBx0e0QM3E6PZA5D468CsN90Bdg8MCzHP7zTiKRQYaGQslgm6j8yqlRqBURERE5QyMrtomf52WfRxQLJQuvZqAnCHv/DDELpOVAuA+a9sBLf+Twq/cT7GlPjv1KbLWriu2pUagVEREROQtG9sRaLAY2m4sc33xsNhcMdUK2F6wGaUUXQf4F0B6AwQE4tBeLOUxn8DADAwH6+zswzYh6bE9RSqYfiIiIiMx2sZiJ3e4mFjNJyy1lwIyAK52CguW0xkwGFy2AwUFYvIqBrv3gTKOtqwmndx7th55m4dJbFWxPgUKtiIiIyDkwcqpBIsgWFCwHIGakwdI3Q187jvR8wsHDsO8pmH8JQ0//H2RkcNCdy3nnvTl5PU1IODF9ZURERETOkZG9toWFK5I9twW5pdgy55N/wQ0Ydi8M9UPRCji0Bww79A1gtryUvE4i0KrPdmKq1IqIiIhMgZFVVsOwUVRwIQB2u5vDwQMQDUPpGyF4AHrasc5fBkAkMojV6kguIJPxqVIrIiIiMsUsFgPDsGG1OgiHe8GRAb2tONPzIO8iOG8V2dmLiUQGOdrRyOBgkIGBgCq1J6C4LyIiIpICicpt32AfRIcgPMRQXzvZ+RcwPNxPoPsIZtchbBYLrXt/A0YaBaXX4HbnpvjOpydVakVERERSyJuRA31BLPNXgNWB3e6mp+sQ0d4jxPo7GG7ZDQdfgt4Wjh5sALTr2HgUakVERERSyG53k33eKgx7OoXzLokHVpsVYjGIDYGRBg5gKIw9w0MsZqoVYRxqPxARERFJIavVQUZGIS6XD4cjA9OM4PUuYHAwSCRmJWrvApcPnDZyc5cyMBCgp78bQK0IIyjUioiIiKSY1erAanUkf+7xFJOWlo3V6qAzeJj0vHTsdjcul4+2zv0M9bdjsRjJUDs83I/d7k7lW0g5hVoRERGRaSYRck0zQm5WSXJSAoDdiNE31MMgEchZRDjcy8BAAJfLh9PpSfGdp45CrYiIiMg0k9howWp1JMd/JcRiJvR3EB12Ewo1MzQUYigSxTQj2O3uOTvLVgvFRERERKahxMiv40OqaXFCJAJWN53Bw/QGWjCH++ju7cQ0I8nj5tpCMoVaERERkRnEk56Fs3gVuDKwWh2keQuJdjQRi5kcevleTDOSDLSxmEk0Gk7xHU8NhVoRERGRGcThyCDHN5/58y4h2zuPocgQZOZB8+9hbwOv738EiC8ei0bD9Pd3zIlgq1ArIiIiMsM4nR7sdjdOp4fcrBKy8s6Hoy2Q6YbWPxOJDBLoPkIo1EwkZqW/vyPVt3zOKdSKiIiIzEAWi4Hd7sZud+PzLYQV7wBXOmmlb41vsTvcR3dPkO7Aa8SMtFTf7jk3N5fHiYiIiMwSDkcGsZjJggXX0ObykZd3Ed3dB+nv7wQjRlb+ZZjD3UBWqm/1nFKlVkRERGSGS4z9ys9fhmHY4hMTYia+LD+xSA9e74JU3+I5p1ArIiIiMgskgq3FYhCOxnC4cxg2LXi9C5LjwWYztR+IiIiIzBKJ8OpJzyJ07Me5EGhBoVZERERk1nG5fKN+nIxYzJzRAXjm3rmIiIiITOhUA21/f0dyR7KRO5PNFAq1IiIiInNcf38HncHD9PS0EIkMEouZMy7YKtSKiIiIzHFdoaNE2/5EoOWPRCKDhELNxGJmcrvdmUChVkRERGSOi4a74JmHoauJI0319A8N0NvbisVizJhgq1ArIiIiMseZTU/AYBs8+zQc2EN4oJPB4WFMMzJjFo/NjLsUERERkXNncBDwAkcgFoPOA+T45jM4GBzVW9vf35GyWzwZhVoRERGROc6y7BZwOqDoCnC7ICOHoaEQge4jdHbuTU5H6Bvsm7bBVnNqRUREROa4LE8BgXfcCb2HwO7Fm38B3b2dDPcdZXhoELc7l/6hAcIDnQC43bkpvuOxFGpFRERE5riMjEJiMRP3/Mvo7W3F51tIX18bQy89BPMvom+wD5fdjun04rRZU32741KoFREREZnjDMNGZmYRFouB17sAgJ7+bihcDMMR3M60eHW2t5WMjMIU3+34FGpFRERE5jiLxcAwbMmfA2SkZRLxlGCzRElPz8diMcjIKEweN91Mz7sSERERkSmVCLOxmInFYpCeng/E+2cTryUCrWlGpl241fQDEREREUlKBFir1YHbnYvN5hr1umlGiEQGp902ugq1IiIiIjJGLGZis7nG7CgWiQzSFTpKJDKYojsbn0KtiIiIiIyR2CL3+B3Funs7sZjDdPd2pujOxqdQKyIiIiLjGm+LXJfdThQLLrs9BXc0senV4SsiIiIi01paWvaoH6cLVWpFREREZNJsNhcul2/MArJUU6gVERERkUmLxUzsdveYBWSpplArIiIiIpM20QKyVJtedyMiIiIi0950C7SgUCsiIiIis4BCrYiIiIjMeAq1IiIiIjLjKdSKiIiIyIynUCsiIiIiM55CrYjI/2/vfpLTtt84jn/S+XWyawTLzHQRsesSnBNUuoGJTxB0AxjvusvADaSewIYbSDlBjG4gsuoyoCYrTxfqIj9RUyQMVH/t92smi0gg5Ifvgx9/+f4BALQeRS0AAABaj6IWAAAArUdRCwAAgNb7X10vHASBfN9Xr9dTHMeSpPF4fNa1VquVJpOJJKnb7cowDE2n06JuFQAAAA1XS1G7WCx0c3Oj+Xy+PRYEgWzblu/7J1/rw4cPms/nMk1TkhTHsSaTCYUtAADAM/EiSZKkyheM41hv3rzR58+fZRjGzrnBYCDHcTQajY66VhiG+vXXX/euNRwOFYahoig6+PyvX7/q1atX+vPPP/XTTz+d+qMAAACgZMfWa5WPqb29vZVpmnsFrSRdXV3Jdd2jrzWZTHR9fb13Ldu25TjOf7xTAAAAtEXlRe18Ple32808Z5qmwjDcjrE9JAxDBUGQ2as7Go3OHp97jvv7e/3222+6v7+v7DXxD+JfH2JfL+JfL+JfL+JfrybGv/LhB51OR+/evcvskQ3DUIPBQMvlUv1+/+B1HMdREASPDjE4pKjhBwxjqBfxrw+xrxfxrxfxrxfxr1eV8T/2tSqfKBbHcebQg4dWq9WjRW0QBNuJYbPZTJJkGIaiKMockgAAAICnq7YlvbKkheh6vX70sWnhO5vNdoYarFarbW8vhS0AAMDz0Kii9lRhGO4t22WapizL0vv373eWDMuSjrz4448/9PXr1+3xly9f6uXLl0ffR/rch9dAdYh/fYh9vYh/vYh/vYh/vcqM//39/c5Y3W/fvkn6p27L06iiNp0gljeRLEs6BOGhdGmwx4Y6pEH65ZdfTrrPPD///HMh18F5iH99iH29iH+9iH+9iH+9qoz/t2/f9OrVq9zzRxe1tm0rCIKzbmKz2ZQyFCCroH14/O7uTpZl5T7/9evXiqJIP/74o168eLE9fmpPLQAAAIrx757aJEn0119/6fXr1wefd3RRe+pOX3lM09Rqtco8l46lzStW/32dYyacHfLDDz8c9VoAAABotsrXqe33+7nr0KZF6GMrH6SPeaxovbi4OPn+AAAA0D6VF7W2becWo1EUHRwu8NDV1ZXCMMw8l16fXlgAAIDnofLNF+I41ps3b7RcLveKzl6vp+l0qsvLy53H542N7XQ6+v3333ceL30vnE3TPGnL3XMEQSDf99Xr9ba9z1XuZPZcDYdDdbtdOY6z7fm/u7uT67q6vr4+qqcfx4njWJPJRIZh7K008hC5UI5j4k8+lMfzPEVRpDAMtV6vZVlW7vtADhTr2NjT/ssRx7E8z9OXL1+2/1+v17kxbUz7T2own8+Ty8vLvWOWZe091rKsRFLiuu7eOd/3E9M0k81msz3muu7esTJk/Qy+72f+DChW2iYe/jMMI/F9v+5bezLG43FyeXmZTKfTxDTNZDQa5T6WXCjeKfEnH8oxHo+TKIq2/99sNollWYlhGHu/X8iBYp0Se9p/8TabTTIejzPbuaS92Dap/VfeU5s6tqqfzWb68OGDPn78mPvXgeu66na7Wq/XMk3zYI9SEdLe5s+fP+9NVkuXExuNRqXew3M2mUxk2/Z2+Ilpmnu99SjOYDDQxcVF5jcf5EL5DsVfIh/KsFgsZJrm3u+cOI7V6XRkWdZ28jQ5UKxTYi/R/svgeZ4mk0nmN+qdTkemaWq5XEpqXvuvbZ1ay7KOGj87Ho8PdmEfe50i3d7e5q6+cHV1Jdd1+RArWR3vO/aRC81APhTr06dPmYWRYRgajUbyPG+7Djo5UKxTYp+i/RcrLWTzJvU/1LT2X/lEsadgPp/nbhBhmqbCMDyqMQBtRy7gKfI8T7ZtZ54bDAaSvq+DLpEDRTsl9iiHZVnabDaZ347HcbyzslTT2j9F7Rnu7u4e3fjhseXGgKeAXMBTdGg5yH/vfEkOFOuU2KNas9lM0vchH6mmtf9GbZPbFo9tvyt9fxOZdVme1Wq1s8NdFEW6vr4uZec65CMXmoF8KNahzYaiKJL0z3rq5ECxTol9ivZfvjiO5bqu5vP5ThHbtPZPUVuw9M1Nd0dD8VarlcIw3BmnE4ahBoOBlsslH2QNQS5Ug3yolud5R48RJAeKlRV72n950mW9oijSer2W7/snrf9fR/unqEXrzOfzvWP9fl/9fl/v37/PPA88VeRDdSaTSSUr7GBfXuxp/+UxDGM7UT8IAjmOI8dxGr26BGNqC8aYn/rYtq3FYlH3beD/yIV6kQ/FCsNQnufJ9/2je//IgWKcE3vaf7Esy9J8PtdwOJTneUc9p472T1GLJyNNnLztk4HnhHwo1nA41MePH9l+vQbnxJ72XzzDMHR5eSnHcRq7ogdF7RlM08ydzZeOHeGDrxyO4+zMvHyI8WvVIxfqRT5Uw7Ztua6bOdmFHCjXodjT/qv39u1bSdpOzGta+6eoPUO6v3SW9M1lpms5bm9vcxMoPX5oSRgUi1yoF/lQvrRwylvcnxwoz2Oxp/2Xo9PpaDgcZp5L/1h42Lab1P4pas9g23ZuIkVRxM4mJRqNRrkD/9OZmcx2rQ65UC/yoVyz2UzD4XCvHT9cQoocKMcxsaf9Fy+O44NDC9Jl1dLe16a1f4raM7x7907r9TrzjVwsFnIcp4a7eh7evn2bOUYqjmMtFgtmJVeMXKgX+VCexWKhfr+f+Us5DMPtL3VyoHjHxp72X7x0O+K8PxaCINiOrZWa1/5fJEmSVPqKT8RisdDNzc3OG79YLOS67sHFo/HfpcuKPPxKYzAY6OLiQq7r1nhnT1Ov11O/38/9kCMXyvVY/MmH4oVhqMlksvcVbNqDdXNzo+VyuT1ODhTn1NjT/ou3Wq00nU41nU53ero9z5PjOFoulzvxblL7p6j9D4IgkO/76vV624RL13RDuWazmb58+aI4jrVer3V1ddXotfPaZjab6dOnT9uFzaXvS7oYhpEZa3KhWKfGn3woVqfTOfgVrGma269hU+RAMc6JPe2/HOkkvDSu3W53r9BNNaX9U9QCAACg9RhTCwAAgNajqAUAAEDrUdQCAACg9ShqAQAA0HoUtQAAAGg9iloAAAC0HkUtAAAAWo+iFgAAAK1HUQsAAIDWo6gFAABA61HUAgAAoPUoagEAANB6FLUAAABoPYpaAAAAtN7fbF8aQgxJF7QAAAAASUVORK5CYII=", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "plt.plot(stars[0], stars[2], 'o', markersize=0.1, label='Stars', alpha=0.2)\n", - "# plt.plot(ffps[0], ffps[2], 'o', markersize=0.1, label='FFPs', alpha=0.05)\n", - "plt.plot(ffps_smaller_r[0], ffps_smaller_r[2], 'o', markersize=0.1, label='FFPs less perturbed', alpha=0.05)\n", - "\n", - "plt.legend()" - ] - }, - { - "cell_type": "code", - "execution_count": 66, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 66, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "\n", - "\n", - "plt.legend()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Stats" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "def my_cdf(sample, x):\n", - " # Counts how many observations are below or equal to x and normalize\n", - " return np.sum(sample <= x) / len(sample)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "num_samples_pbh = 1000\n", - "num_samples_ffp = 1000\n", - "\n", - "samples_pbh = sample_crossing_times(t_es_limited, gammas_pbh, num_samples_pbh)\n", - "samples_ffp = sample_crossing_times(t_es_limited, gammas_ffp, num_samples_ffp)\n", - "\n", - "num_bins = 20\n", - "bin_counts_pbh, bin_edges_pbh = np.histogram(samples_pbh, bins=np.logspace(np.log10(s.cadence), np.log10(s.obs_time), num_bins))\n", - "bin_counts_ffp, bin_edges_ffp = np.histogram(samples_ffp, bins=np.logspace(np.log10(s.cadence), np.log10(s.obs_time), num_bins))\n", - "\n", - "# Plotting the histogram\n", - "plt.bar(bin_edges_pbh[:-1], bin_counts_pbh, width=np.diff(bin_edges_pbh), align=\"edge\", edgecolor=\"black\", label=\"PBH\", alpha=0.5)\n", - "plt.bar(bin_edges_ffp[:-1], bin_counts_ffp, width=np.diff(bin_edges_ffp), align=\"edge\", edgecolor=\"black\", label=\"FFP\", alpha=0.5)\n", - "plt.xscale('log')\n", - "plt.xlabel(\"$t_E$ [hr]\")\n", - "plt.ylabel(\"Count\")\n", - "plt.title(r\"$M_{\\rm{PBH}} = $\" + scientific_format_less(s.pbh.mass) + r\"$M_\\odot$, p = {}\".format(s.ffp.p))\n", - "plt.legend()\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "def ks_2samp(sample1, sample2):\n", - " # Gets all unique observations\n", - " observations = np.unique(np.concatenate((sample1, sample2)))\n", - " \n", - " # Computes the CDF for both samples at each observation\n", - " cdf_sample1 = np.array([my_cdf(sample1, x) for x in observations])\n", - " cdf_sample2 = np.array([my_cdf(sample2, x) for x in observations])\n", - "\n", - " # Computes the KS statistic\n", - " D_ks = np.max(np.abs(cdf_sample1 - cdf_sample2))\n", - "\n", - " # Calculates the P-Value based on the two-sided test\n", - " m, n = float(len(sample1)), float(len(sample2))\n", - " #Should this just be m or n if they're the same length?\n", - " en = m * n / (m + n)\n", - " p_value = stats.kstwo.sf(D_ks, np.round(en))\n", - "# print(D_ks, np.sqrt((m + n)/(m * n))*1.36)\n", - " # p_value = stats.kstwo.sf(D_ks, np.round(np.sqrt(en)))\n", - "\n", - " return {\"ks_stat\": D_ks, \"p_value\" : p_value}" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [ - { - "ename": "NameError", - "evalue": "name 'gammas_pbh' is not defined", - "output_type": "error", - "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m\n", - "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)\n", - "\u001b[0;32m/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_42445/3115951314.py\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n", - "\u001b[1;32m 1\u001b[0m \u001b[0mnum_samples_pbh_temp\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;36m0\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[1;32m 2\u001b[0m \u001b[0;32mwhile\u001b[0m \u001b[0;32mTrue\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[0;32m----> 3\u001b[0;31m \u001b[0msamples_pbh\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0msample_crossing_times\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mt_es_limited\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mgammas_pbh\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mnum_samples_pbh_temp\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[0m\u001b[1;32m 4\u001b[0m \u001b[0msamples_ffp\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0msample_crossing_times\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mt_es_limited\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mgammas_ffp\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mnum_samples_ffp\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[1;32m 5\u001b[0m \u001b[0msamples_both\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mconcatenate\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0msamples_pbh\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0msamples_ffp\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - "\n", - "\u001b[0;31mNameError\u001b[0m: name 'gammas_pbh' is not defined" - ] - } - ], - "source": [ - "num_samples_pbh_temp = 0\n", - "while True:\n", - " samples_pbh = sample_crossing_times(t_es_limited, gammas_pbh, num_samples_pbh_temp)\n", - " samples_ffp = sample_crossing_times(t_es_limited, gammas_ffp, num_samples_ffp)\n", - " samples_both = np.concatenate((samples_pbh, samples_ffp))\n", - " ks = ks_2samp(samples_ffp, samples_both)\n", - " if ks[\"p_value\"] < 0.05:\n", - " break\n", - " num_samples_pbh_temp += 5\n", - "\n", - "print(\"Fraction of pbh samples needed to distinguish: \", num_samples_pbh_temp/num_samples_ffp)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "num_bins = 10\n", - "bin_counts_pbh, bin_edges_pbh = np.histogram(samples_pbh, bins=np.logspace(np.log10(s.cadence), np.log10(s.obs_time), num_bins))\n", - "bin_counts_ffp, bin_edges_ffp = np.histogram(samples_ffp, bins=np.logspace(np.log10(s.cadence), np.log10(s.obs_time), num_bins))\n", - "bin_counts_both, bin_edges_both = np.histogram(samples_both, bins=np.logspace(np.log10(s.cadence), np.log10(s.obs_time), num_bins))\n", - "\n", - "# Plotting the histogram\n", - "plt.bar(bin_edges_pbh[:-1], bin_counts_pbh, width=np.diff(bin_edges_pbh), align=\"edge\", edgecolor=\"black\", label=\"PBH\", alpha=0.7)\n", - "plt.bar(bin_edges_ffp[:-1], bin_counts_ffp, width=np.diff(bin_edges_ffp), align=\"edge\", edgecolor=\"black\", label=\"FFP\", alpha=0.5)\n", - "plt.bar(bin_edges_both[:-1], bin_counts_both, width=np.diff(bin_edges_both), align=\"edge\", edgecolor=\"black\", label=\"Both\", alpha=0.3)\n", - "\n", - "plt.xscale('log')\n", - "plt.xlabel(\"$t_E$ [hr]\")\n", - "plt.ylabel(\"Count\")\n", - "plt.title(r\"$M_{\\rm{PBH}} = $\" + scientific_format_less(s.pbh.mass) + r\"$M_\\odot$, p = {}\".format(s.ffp.p))\n", - "plt.legend()\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Old Mass Comparison" - ] - }, - { - "cell_type": "code", - "execution_count": 16, - "metadata": {}, - "outputs": [], - "source": [ - "ms = np.logspace(-9, -3, 30)" - ] - }, - { - "cell_type": "code", - "execution_count": 17, - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - " 0%| | 0/30 [00:00" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "plt.plot(ms, diff_rates_ffp_mw_point, label=\"Point\")\n", - "plt.xscale(\"log\")\n", - "plt.yscale(\"log\")\n", - "plt.xlabel(r\"Mass [$M_\\odot$]\")\n", - "plt.plot(ms_limited, 1e-15*ms_limited**(-1.15), label=r\"$M^{-1.15}$\", ls=\"--\")\n", - "plt.legend()\n", - "plt.show()\n" - ] - }, - { - "cell_type": "code", - "execution_count": 120, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "plt.plot(ms_limited, gamma_of_ms_point, label=\"Point\")\n", - "plt.plot(ms_limited, gamma_of_ms_finite, label=\"Finite\")\n", - "\n", - "# plt.ylim(1e-24, 1e-21)\n", - "plt.xscale(\"log\")\n", - "plt.yscale(\"log\")\n", - "plt.xlabel(r\"Mass [$M_\\odot$]\")\n", - "plt.ylabel(r\"$\\Gamma(M)$ [events/star/hr]\")\n", - "plt.legend()\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 99, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "num_samples_ffp = 10000\n", - "bins_m = np.logspace(-9,-3,20)\n", - "samples_ffp_point_m = sample_crossing_times(ms_limited, gamma_of_ms_point, num_samples_ffp)\n", - "bin_counts_ffp_point_m, bin_edges_ffp_point_m = np.histogram(samples_ffp_point_m, bins=bins_m, density=False)\n", - "plt.bar(bin_edges_ffp_point_m[:-1], bin_counts_ffp_point_m/np.sum(bin_counts_ffp_point_m), width=np.diff(bin_edges_ffp_point_m), align=\"edge\", edgecolor=\"black\", label=r\"LensCalcPy Point\", alpha=0.5, color='blue')\n", - "\n", - "bin_counts_popsycle_m, bin_edges_popsycle_m = np.histogram(nick_ffp_masses, bins=bins_m, density=False)\n", - "plt.bar(bin_edges_popsycle_m[:-1], bin_counts_popsycle_m/np.sum(bin_counts_popsycle_m), width=np.diff(bin_edges_popsycle_m), align=\"edge\", edgecolor=\"black\", label=r\"Popsycle\", alpha=0.5,color='orange')\n", - "\n", - "plt.xscale('log')\n", - "plt.yscale('log')\n", - "plt.xlabel(r\"$M$ [M$_\\odot$]\")\n", - "plt.ylabel(\"Normalized Counts\")\n", - "\n", - "plt.ylim(1e-3, 5e-1)\n", - "plt.legend()\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 52, - "metadata": {}, - "outputs": [], - "source": [ - "pre_event_masses_ffps = pd.read_csv('popsycle_data/ffp_mass_1x.csv', header=None).values.flatten()\n", - "pre_event_masses_ffps_flat = pd.read_csv('popsycle_data/mass_p_0_20x.csv', header=None).values.flatten()\n" - ] - }, - { - "cell_type": "code", - "execution_count": 59, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "bins_m = np.logspace(-9,-3,20)\n", - "\n", - "bin_counts_popsycle_m_pre, bin_edges_popsycle_m_pre = np.histogram(pre_event_masses_ffps_flat, bins=bins_m, density=False)\n", - "plt.bar(bin_edges_popsycle_m_pre[:-1], bin_counts_popsycle_m_pre/np.sum(bin_counts_popsycle_m_pre), width=np.diff(bin_edges_popsycle_m_pre), align=\"edge\", edgecolor=\"black\", label=r\"pre-cut\", alpha=0.5,color='gray')\n", - "\n", - "plt.ylim(1e-2, 1e-1)\n", - "\n", - "plt.xscale('log')\n", - "plt.yscale('log')\n", - "plt.xlabel(r\"$M$ [M$_\\odot$]\")\n", - "plt.ylabel(\"Normalized Counts\")\n", - "plt.legend()\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 104, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "bin_counts_popsycle_m, bin_edges_popsycle_m = np.histogram(nick_ffp_masses, bins=bins_m, density=False)\n", - "plt.bar(bin_edges_popsycle_m[:-1], bin_counts_popsycle_m/np.sum(bin_counts_popsycle_m), width=np.diff(bin_edges_popsycle_m), align=\"edge\", edgecolor=\"black\", label=r\"post-cut\", alpha=0.5,color='orange')\n", - "\n", - "bin_counts_popsycle_m_pre, bin_edges_popsycle_m_pre = np.histogram(pre_event_masses_ffps, bins=bins_m, density=False)\n", - "plt.bar(bin_edges_popsycle_m_pre[:-1], bin_counts_popsycle_m_pre/np.sum(bin_counts_popsycle_m_pre), width=np.diff(bin_edges_popsycle_m_pre), align=\"edge\", edgecolor=\"black\", label=r\"pre-cut\", alpha=0.5,color='gray')\n", - "\n", - "plt.ylim(1e-5, 5e-1)\n", - "\n", - "plt.xscale('log')\n", - "plt.yscale('log')\n", - "plt.xlabel(r\"$M$ [M$_\\odot$]\")\n", - "plt.ylabel(\"Normalized Counts\")\n", - "plt.legend()\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Scratchwork" - ] - }, - { - "cell_type": "code", - "execution_count": 213, - "metadata": {}, - "outputs": [], - "source": [ - "def calc_sph_motion(vx, vy, vz, r, b, l):\n", - " \"\"\"\n", - " Calculate velocities in the r directions and proper motions\n", - " in l, b directions.\n", - "\n", - " Parameters\n", - " ----------\n", - " vx, vy, vz : float or array\n", - " Heliocentric velocities vx, vy, and vz (in km/s)\n", - "\n", - " r, b, l : float or array\n", - " Galactic coordinates r, b, and l (in kpc and degrees)\n", - "\n", - " Return\n", - " ------\n", - " vr, mu_b, mu_lcosb : float or array (in km/s and mas/yr)\n", - " Radial velocity and proper motions\n", - "\n", - " \"\"\"\n", - " b = np.radians(b)\n", - " l = np.radians(l)\n", - "\n", - " cosb = np.cos(b)\n", - " sinb = np.sin(b)\n", - " cosl = np.cos(l)\n", - " sinl = np.sin(l)\n", - "\n", - " vr = vz * sinb + cosb * (vx * cosl + vy * sinl)\n", - " vb = vz * cosb - sinb * (vx * cosl + vy * sinl)\n", - " vl = vy * cosl - vx * sinl\n", - "\n", - " mu_b = vb / r\n", - " mu_lcosb = vl / r\n", - "\n", - " ##########\n", - " # Convert between radians*(km/s)/kpc into mas/year.\n", - " # 1 kpc = 3.086 * 10^16 km, 1 year = 3.154 * 10^7 s, 2.063 * 10^8 mas = 1 rad\n", - " # 1 radian*(km/s)/kpc = 0.2108 mas/yr\n", - " #########\n", - " conversion_fact = 0.2108\n", - " mu_b = mu_b * conversion_fact\n", - " mu_lcosb = mu_lcosb * conversion_fact\n", - "\n", - " return vr, mu_b, mu_lcosb\n", - "\n", - "# Function to convert spherical velocities to Cartesian velocities\n", - "def sph_to_cartesian(v_sph, pos):\n", - " r_dot, b_dot, l_dot = v_sph\n", - " r, b, l = pos\n", - " l = np.radians(l)\n", - " b = np.radians(b)\n", - " vx = r_dot*np.cos(b)*np.cos(l) - r*b_dot*np.sin(b)*np.cos(l) - r*l_dot*np.cos(b)*np.sin(l)\n", - " vy = r_dot*np.cos(b)*np.sin(l) - r*b_dot*np.sin(b)*np.sin(l) + r*l_dot*np.cos(b)*np.cos(l)\n", - " vz = r_dot*np.sin(b) + r*b_dot*np.cos(b)\n", - " return [vx, vy, vz]" - ] - }, - { - "cell_type": "code", - "execution_count": 214, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Einstein time: 0.011923784044031301\n", - "Full transit time: 0.054253265261650085\n" - ] - } - ], - "source": [ - "starPos1 = [7.78257417678833, -0.018601227301875935, 0.016396739533508602]\n", - "starPos2 = [7.782573762098301, -0.018601124163779216, 0.016396434296014145]\n", - "pbhPos1 = [7.276314604254684, -0.018601284224945756, 0.01639681167636597]\n", - "pbhPos2 = [7.276313346359349, -0.018601393966005075, 0.01639677623181188]\n", - "\n", - "pbhMass = 3e-6\n", - "duration = 1825 * 24 * 3600 #in seconds\n", - "theta_E = 2.26363e-12 #in radians\n", - "full_transit_time = (0.23261582851409912 - 0.2325861006975174) *duration\n", - "kpc_to_km = 3.086e16 # kpc to km\n", - "mas_to_rad = 4.84814e-9 # mas to rad\n", - "day_to_s = 86400 # day to seconds\n", - "year_to_s = 31536000 # year to seconds\n", - "\n", - "starPos1[0] *= kpc_to_km\n", - "pbhPos1[0] *= kpc_to_km\n", - "starPos2[0] *= kpc_to_km\n", - "pbhPos2[0] *= kpc_to_km\n", - "\n", - "v_star_sph = [(starPos2[i] - starPos1[i])/duration for i in range(3)]\n", - "v_pbh_sph = [(pbhPos2[i] - pbhPos1[i])/duration for i in range(3)]\n", - "\n", - "# Convert the spherical velocities to Cartesian velocities\n", - "v_star = sph_to_cartesian(v_star_sph, starPos1)\n", - "v_pbh = sph_to_cartesian(v_pbh_sph, pbhPos1)\n", - "\n", - "starPos1[0] /= kpc_to_km \n", - "pbhPos1[0] /= kpc_to_km \n", - "starPos2[0] /= kpc_to_km \n", - "pbhPos2[0] /= kpc_to_km \n", - "\n", - "# # Calculate the radial velocity and proper motions using the function\n", - "vr_star, mu_b_star, mu_lcosb_star = calc_sph_motion(v_star[0], v_star[1], v_star[2], starPos1[0], np.degrees(starPos1[1]), np.degrees(starPos1[2]))\n", - "vr_pbh, mu_b_pbh, mu_lcosb_pbh = calc_sph_motion(v_pbh[0], v_pbh[1], v_pbh[2], pbhPos1[0], np.degrees(pbhPos1[1]), np.degrees(pbhPos1[2]))\n", - "\n", - "mu_b_star *= mas_to_rad / year_to_s\n", - "mu_b_pbh *= mas_to_rad / year_to_s\n", - "mu_lcosb_star *= mas_to_rad / year_to_s\n", - "mu_lcosb_pbh *= mas_to_rad / year_to_s\n", - "\n", - "# Calculate the relative proper motions\n", - "mu_b_rel = mu_b_star - mu_b_pbh\n", - "mu_lcosb_rel = mu_lcosb_star - mu_lcosb_pbh\n", - "\n", - "# Calculate the total relative proper motion and the Einstein time\n", - "v_rel = np.sqrt(mu_b_rel**2 + mu_lcosb_rel**2)\n", - "t_E = theta_E / v_rel\n", - "\n", - "print(\"Einstein time:\", t_E / day_to_s)\n", - "print(\"Full transit time:\", full_transit_time / day_to_s)" - ] - }, - { - "cell_type": "code", - "execution_count": 215, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "2.279924455200288e-12" - ] - }, - "execution_count": 215, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "einstein_rad(7.276, 3e-6, 7.78257)/7.276" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "base", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" - }, - "orig_nbformat": 4 - }, - "nbformat": 4, - "nbformat_minor": 2 -} diff --git a/nbs/01_ffp.ipynb b/nbs/01_ffp.ipynb index a1dad44..e054633 100644 --- a/nbs/01_ffp.ipynb +++ b/nbs/01_ffp.ipynb @@ -335,401 +335,6 @@ "f.differential_rate_mw(10, finite=True, v_disp=220)" ] }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Log normal comparison to Johnson (Move this to mock_roman nb)" - ] - }, - { - "cell_type": "code", - "execution_count": 67, - "metadata": {}, - "outputs": [], - "source": [ - "mass_arr = np.logspace(-2, 4, 7)*3e-6\n", - "ts = np.logspace(np.log10(0.25), np.log10(24*72*6), 30)\n" - ] - }, - { - "cell_type": "code", - "execution_count": 65, - "metadata": {}, - "outputs": [], - "source": [ - "roman_df = pd.read_csv('../examples/roman_sensitivity.csv', header=None, names=['t_e [days]', 'efficiency'])\n", - "roman_efficiency_interp = interp1d(roman_df['t_e [days]'], roman_df['efficiency'])\n", - "def roman_efficiency(t):\n", - " '''\n", - " Takes in crossing time in hours and returns the efficiency of Roman\n", - " '''\n", - " t_day = t/24\n", - " if t_day <= np.min(roman_df['t_e [days]']):\n", - " return roman_df['efficiency'][0]\n", - " if t_day >= np.max(roman_df['t_e [days]']):\n", - " return roman_df['efficiency'][len(roman_df)-1]\n", - " return(roman_efficiency_interp(t_day))\n" - ] - }, - { - "cell_type": "code", - "execution_count": 69, - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - " 43%|████▎ | 3/7 [19:39<24:57, 374.32s/it]/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_14517/3535331868.py:8: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", - " rate = quad(lambda t: dgdt_interp(t) * roman_efficiency(t), 0.25, 24*72*6, epsabs=0, epsrel=1e-1)[0]\n", - "100%|██████████| 7/7 [26:51<00:00, 230.19s/it]\n" - ] - } - ], - "source": [ - "result_arr = np.zeros(len(mass_arr))\n", - "for i, m in enumerate(tqdm(mass_arr)):\n", - " # f = Ffp(0, l = 1.0, b = -1.03, ds=8.5, u_t = 1, m_min=m*10**(-0.5), m_max=m*10**(0.5))\n", - " f = Ffp(0, l = 1.0, b = -1.03, ds=8.5, u_t = 3.45, m_min=m*10**(-0.5), m_max=m*10**(0.5))\n", - " dgdt_arr = np.array([f.differential_rate_mw(t, finite=True, v_disp=220) for t in ts])\n", - " dgdt_interp = interp1d(ts, dgdt_arr, kind='linear')\n", - "\n", - " rate = quad(lambda t: dgdt_interp(t) * roman_efficiency(t), 0.25, 24*72*6, epsabs=0, epsrel=1e-1)[0]\n", - " result_arr[i] = rate * 24*72*6 * 2.4e8" - ] - }, - { - "cell_type": "code", - "execution_count": 96, - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - " 43%|████▎ | 3/7 [01:40<02:15, 33.82s/it]/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_14517/3939466292.py:9: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", - " rate = quad(lambda t: dgdt_interp(t) * roman_efficiency(t), 0.25, 24*72*6, epsabs=0, epsrel=1e-1)[0]\n", - "100%|██████████| 7/7 [05:04<00:00, 43.52s/it]\n" - ] - } - ], - "source": [ - "result_arr_point_1 = np.zeros(len(mass_arr))\n", - "for i, m in enumerate(tqdm(mass_arr)):\n", - " f = Ffp(0, l = 1.0, b = -1.03, ds=8.5, u_t = 1, m_min=m*10**(-0.5), m_max=m*10**(0.5))\n", - " # f = Ffp(0, l = 1.0, b = -1.03, ds=8.5, u_t = 3.45, m_min=m*10**(-0.5), m_max=m*10**(0.5))\n", - " # f = Ffp(0, l = 1.0, b = -1.03, ds=8.5, u_t = 3.0, m_min=m*10**(-0.5), m_max=m*10**(0.5))\n", - " dgdt_arr = np.array([f.differential_rate_mw(t, finite=False, v_disp=220) for t in ts])\n", - " dgdt_interp = interp1d(ts, dgdt_arr, kind='linear')\n", - "\n", - " rate = quad(lambda t: dgdt_interp(t) * roman_efficiency(t), 0.25, 24*72*6, epsabs=0, epsrel=1e-1)[0]\n", - " result_arr_point_1[i] = rate * 24*72*6 * 2.4e8" - ] - }, - { - "cell_type": "code", - "execution_count": 97, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "array([6.66058132e-01, 4.51597126e+00, 1.91777526e+01, 6.94530989e+01,\n", - " 2.29975935e+02, 7.40354621e+02, 2.36208973e+03])" - ] - }, - "execution_count": 97, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "result_arr_point_1" - ] - }, - { - "cell_type": "code", - "execution_count": 99, - "metadata": {}, - "outputs": [], - "source": [ - "our_ut_1_finite = np.array([0.054581, 1.747823, 18.989170 , 72.575551, 233.820611, 744.041794, 2372.639453])\n", - "our_ut_1_point = np.array([6.66058132e-01, 4.51597126e+00, 1.91777526e+01, 6.94530989e+01,2.29975935e+02, 7.40354621e+02, 2.36208973e+03])\n", - "result_arr_point_3 = np.array([4.19731590e+00, 1.84469580e+01, 6.56940092e+01, 2.17129007e+02, 7.01789494e+02, 2.24181653e+03, 7.11845702e+03])\n", - "result_arr_point_35 = np.array([5.09027157e+00, 2.15841384e+01, 7.61618731e+01, 2.51482464e+02, 8.08879645e+02, 2.57807882e+03, 8.16249999e+03])\n" - ] - }, - { - "cell_type": "code", - "execution_count": 86, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "3.2421065531473174" - ] - }, - "execution_count": 86, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "rho_func(3e-6*1e-2, 8.5/2, 8.5)" - ] - }, - { - "cell_type": "code", - "execution_count": 87, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "array([4.56896632])" - ] - }, - "execution_count": 87, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "ut_func_new(3.24, 1.01)" - ] - }, - { - "cell_type": "code", - "execution_count": 89, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "1.0169503597462535" - ] - }, - "execution_count": 89, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "magnification(3)" - ] - }, - { - "cell_type": "code", - "execution_count": 101, - "metadata": {}, - "outputs": [], - "source": [ - "johnson_logn_new = np.array([0.306, 4.49, 22.1, 87.1, 313, 1025, 3329])\n", - "johnson_fid_new = np.array([0.611, 8.97, 44.2, 108, 72.3, 44.1, 26.7])\n", - "N_power_our_fid_arr= []\n", - "for m in mass_arr:\n", - " N_power_our_fid_arr.append(10*(m/(3e-6))**(-1))\n", - "N_power_our_fid_arr = np.array(N_power_our_fid_arr)\n", - "\n", - "N_power_new_arr= []\n", - "for m in mass_arr:\n", - " N_power_new_arr.append(0.24*(m/(95*3e-6))**(-0.73))\n", - "N_power_new_arr = np.array(N_power_new_arr)\n" - ] - }, - { - "cell_type": "code", - "execution_count": 103, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "array([2.17666056, 1.00578424, 0.86777161, 0.79739494, 0.7347474 ,\n", - " 0.72229719, 0.70954933])" - ] - }, - "execution_count": 103, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "our_ut_1_point/johnson_logn_new" - ] - }, - { - "cell_type": "code", - "execution_count": 104, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "array([0.17836928, 0.38927016, 0.85923846, 0.83324398, 0.74703071,\n", - " 0.72589443, 0.71271837])" - ] - }, - "execution_count": 104, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "our_ut_1_finite/johnson_logn_new" - ] - }, - { - "cell_type": "code", - "execution_count": 169, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - " m [M_earth] Our Log-Uniform Johnson Log-Uniform Our Fiducial \\\n", - "0 0.01 0.054581 0.306 54.580964 \n", - "1 0.10 1.747823 4.490 174.782304 \n", - "2 1.00 18.989170 22.100 189.891703 \n", - "3 10.00 72.575551 87.100 72.575551 \n", - "4 100.00 233.820611 313.000 23.382061 \n", - "5 1000.00 744.041794 1025.000 7.440418 \n", - "6 10000.00 2372.639453 3329.000 2.372639 \n", - "\n", - " Johnson Fiducial Power \n", - "0 58.839761 \n", - "1 160.766595 \n", - "2 147.347152 \n", - "3 108.135335 \n", - "4 72.359209 \n", - "5 44.123844 \n", - "6 26.684758 \n" - ] - } - ], - "source": [ - "df = pd.DataFrame({'m [M_earth]': np.round(mass_arr/3e-6,2), 'Our Log-Uniform': result_arr, 'Johnson Log-Uniform': johnson_logn_new, 'Our Fiducial': N_power_our_fid_arr*result_arr, 'Johnson Fiducial Power': johnson_logn_new*N_power_new_arr})\n", - "print(df)" - ] - }, - { - "cell_type": "code", - "execution_count": 73, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "array([8.19674456e+00, 3.34375141e+01, 8.78681152e+01, 2.57978574e+02,\n", - " 8.14157860e+02, 2.59035151e+03, 8.19974070e+03])" - ] - }, - "execution_count": 73, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "result_arr" - ] - }, - { - "cell_type": "code", - "execution_count": 94, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "array([77.01497063, 10.55438725, 3.45940017, 2.9915818 , 3.00140918,\n", - " 3.01303228, 2.99977118])" - ] - }, - "execution_count": 94, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "result_arr_point_3/np.array([0.0545, 1.7478, 18.99, 72.58, 233.82, 744.04, 2373])" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "#full power law comparison\n", - "M_norm = 3e-6\n", - "Z_fiducial = 10\n", - "f = Ffp(1, l = 1.0, b = -1.03, ds=8.5, u_t = 1, m_min=1e-12, m_max= 1e-1)\n", - "z_earth = Z_fiducial/(f.Z*(M_norm/f.M_norm)**(-p))\n", - "dgdt_arr = np.array([f.differential_rate_mw(t, finite=True, v_disp=220) for t in tqdm(ts)])\n", - "dgdt_interp = interp1d(ts, dgdt_arr, kind='linear')\n", - "\n", - "rate = quad(lambda t: dgdt_interp(t) * roman_efficiency(t), 0.25, 24*72*6, epsabs=0, epsrel=1e-1)[0]\n", - "print(rate * 24*72*6 * 2.4e8 * z_earth)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "525.0256409207203" - ] - }, - "execution_count": 158, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "#Should be close to for power-law calc and log-uniform calc to agree\n", - "sum(N_power_our_fid_arr*result_arr)" - ] - }, - { - "cell_type": "code", - "execution_count": 146, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "Text(0, 0.5, 'Number of Events')" - ] - }, - "execution_count": 146, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "plt.loglog(mass_arr/3e-6, result_arr, label='Our Log-Uniform')\n", - "plt.loglog(mass_arr/3e-6, johnson_logn_new, label='Johnson Log-Uniform')\n", - "plt.legend()\n", - "plt.xlabel('Mass [M$_\\oplus$]')\n", - "plt.ylabel('Number of Events')\n" - ] - }, { "cell_type": "code", "execution_count": 116, From 5b275b37e34e67902f45d4dfe5863e0d1c002d90 Mon Sep 17 00:00:00 2001 From: Nolan Smyth Date: Thu, 9 Nov 2023 21:53:43 -0800 Subject: [PATCH 07/17] analytical time integral --- LensCalcPy/_modidx.py | 10 + LensCalcPy/ffp.py | 39 - LensCalcPy/interpolations/interps.py | 3 + LensCalcPy/interpolations/u_fwhm_interp.pkl | Bin 0 -> 8047 bytes LensCalcPy/lightcurves.py | 20 + LensCalcPy/pbh.py | 169 +++-- LensCalcPy/survey.py | 3 +- LensCalcPy/utils.py | 38 +- examples/extended.ipynb | 753 ++++++++++++++++++++ examples/extended_dat/nfw_134.csv | 38 + examples/hsc_pbh.ipynb | 117 +-- nbs/00_pbh.ipynb | 153 ++-- nbs/01_ffp.ipynb | 19 +- nbs/03_survey.ipynb | 3 +- nbs/04_utils.ipynb | 276 ++++++- nbs/09_lightcurves.ipynb | 35 +- 16 files changed, 1440 insertions(+), 236 deletions(-) create mode 100644 LensCalcPy/interpolations/u_fwhm_interp.pkl create mode 100644 LensCalcPy/lightcurves.py create mode 100644 examples/extended.ipynb create mode 100644 examples/extended_dat/nfw_134.csv diff --git a/LensCalcPy/_modidx.py b/LensCalcPy/_modidx.py index 1d6680d..8fce12c 100644 --- a/LensCalcPy/_modidx.py +++ b/LensCalcPy/_modidx.py @@ -99,6 +99,7 @@ 'LensCalcPy/lens.py'), 'LensCalcPy.lens.Lens.umin_lower_bound': ('lens.html#lens.umin_lower_bound', 'LensCalcPy/lens.py'), 'LensCalcPy.lens.Lens.umin_upper_bound': ('lens.html#lens.umin_upper_bound', 'LensCalcPy/lens.py')}, + 'LensCalcPy.lightcurves': {}, 'LensCalcPy.parameters': {}, 'LensCalcPy.pbh': { 'LensCalcPy.pbh.Pbh': ('pbh.html#pbh', 'LensCalcPy/pbh.py'), 'LensCalcPy.pbh.Pbh.__init__': ('pbh.html#pbh.__init__', 'LensCalcPy/pbh.py'), @@ -115,6 +116,8 @@ 'LensCalcPy/pbh.py'), 'LensCalcPy.pbh.Pbh.differential_rate_integrand_mw': ( 'pbh.html#pbh.differential_rate_integrand_mw', 'LensCalcPy/pbh.py'), + 'LensCalcPy.pbh.Pbh.differential_rate_integrand_new': ( 'pbh.html#pbh.differential_rate_integrand_new', + 'LensCalcPy/pbh.py'), 'LensCalcPy.pbh.Pbh.differential_rate_lognorm': ( 'pbh.html#pbh.differential_rate_lognorm', 'LensCalcPy/pbh.py'), 'LensCalcPy.pbh.Pbh.differential_rate_m31': ('pbh.html#pbh.differential_rate_m31', 'LensCalcPy/pbh.py'), @@ -124,9 +127,13 @@ 'LensCalcPy.pbh.Pbh.differential_rate_total': ('pbh.html#pbh.differential_rate_total', 'LensCalcPy/pbh.py'), 'LensCalcPy.pbh.Pbh.mass_function': ('pbh.html#pbh.mass_function', 'LensCalcPy/pbh.py'), 'LensCalcPy.pbh.Pbh.rate_m31': ('pbh.html#pbh.rate_m31', 'LensCalcPy/pbh.py'), + 'LensCalcPy.pbh.Pbh.rate_m31_new': ('pbh.html#pbh.rate_m31_new', 'LensCalcPy/pbh.py'), 'LensCalcPy.pbh.Pbh.rate_mw': ('pbh.html#pbh.rate_mw', 'LensCalcPy/pbh.py'), + 'LensCalcPy.pbh.Pbh.rate_mw_new': ('pbh.html#pbh.rate_mw_new', 'LensCalcPy/pbh.py'), 'LensCalcPy.pbh.Pbh.rate_tot': ('pbh.html#pbh.rate_tot', 'LensCalcPy/pbh.py'), + 'LensCalcPy.pbh.Pbh.rate_tot_new': ('pbh.html#pbh.rate_tot_new', 'LensCalcPy/pbh.py'), 'LensCalcPy.pbh.Pbh.rate_total': ('pbh.html#pbh.rate_total', 'LensCalcPy/pbh.py'), + 'LensCalcPy.pbh.Pbh.rate_total_new': ('pbh.html#pbh.rate_total_new', 'LensCalcPy/pbh.py'), 'LensCalcPy.pbh.Pbh.sticking_point': ('pbh.html#pbh.sticking_point', 'LensCalcPy/pbh.py'), 'LensCalcPy.pbh.Pbh.umin_upper_bound': ('pbh.html#pbh.umin_upper_bound', 'LensCalcPy/pbh.py')}, 'LensCalcPy.stats': { 'LensCalcPy.stats.generate_observed_counts_with_bump': ( 'stats.html#generate_observed_counts_with_bump', @@ -159,6 +166,7 @@ 'LensCalcPy.utils.dist_mw': ('utils.html#dist_mw', 'LensCalcPy/utils.py'), 'LensCalcPy.utils.einstein_rad': ('utils.html#einstein_rad', 'LensCalcPy/utils.py'), 'LensCalcPy.utils.event_duration': ('utils.html#event_duration', 'LensCalcPy/utils.py'), + 'LensCalcPy.utils.f_func': ('utils.html#f_func', 'LensCalcPy/utils.py'), 'LensCalcPy.utils.get_primed_coords': ('utils.html#get_primed_coords', 'LensCalcPy/utils.py'), 'LensCalcPy.utils.integrand_polar': ('utils.html#integrand_polar', 'LensCalcPy/utils.py'), 'LensCalcPy.utils.integrand_polar_wave': ('utils.html#integrand_polar_wave', 'LensCalcPy/utils.py'), @@ -172,6 +180,8 @@ 'LensCalcPy.utils.mass_enclosed_mw': ('utils.html#mass_enclosed_mw', 'LensCalcPy/utils.py'), 'LensCalcPy.utils.rho_func': ('utils.html#rho_func', 'LensCalcPy/utils.py'), 'LensCalcPy.utils.scientific_format': ('utils.html#scientific_format', 'LensCalcPy/utils.py'), + 'LensCalcPy.utils.t_e_from_fwhm': ('utils.html#t_e_from_fwhm', 'LensCalcPy/utils.py'), + 'LensCalcPy.utils.t_fwhm_gondolo': ('utils.html#t_fwhm_gondolo', 'LensCalcPy/utils.py'), 'LensCalcPy.utils.u_t_finite': ('utils.html#u_t_finite', 'LensCalcPy/utils.py'), 'LensCalcPy.utils.u_t_finite_wave': ('utils.html#u_t_finite_wave', 'LensCalcPy/utils.py'), 'LensCalcPy.utils.u_t_point': ('utils.html#u_t_point', 'LensCalcPy/utils.py'), diff --git a/LensCalcPy/ffp.py b/LensCalcPy/ffp.py index 742e2e9..117e705 100644 --- a/LensCalcPy/ffp.py +++ b/LensCalcPy/ffp.py @@ -126,45 +126,6 @@ def differential_rate_integrand(self, umin, d, t, mf, model, finite=False, v_dis 1) def differential_rate(self, t, integrand_func, finite=False, epsabs = 1.49e-08, epsrel = 1.49e-08): - # #rewrite using tplquad? - # num = 40 # number of discretization points, empirically, result levels off for >~ 40 - # mf_values = np.linspace(np.log10(self.m_min), np.log10(self.m_max), num=num) - - # result = 0 - # for i in range(num): - # mf = mf_values[i] - # if i == 0: # for the first point - # dm = mf_values[i+1] - mf_values[i] - # elif i < num - 1: # for middle points - # dm = ((mf_values[i+1] - mf_values[i]) + (mf_values[i] - mf_values[i-1])) / 2 - # else: # for the last point - # dm = mf_values[i] - mf_values[i-1] - # if finite: - # single_result, error = dblquad(integrand_func, - # # 0, 10, - # 0, self.d_upper_bound(10**mf), - # lambda d: 0, - # lambda d: self.umin_upper_bound(d, 10**mf), - # args=(10**mf, t), - # epsabs=epsabs, - # epsrel=epsrel, - # ) - # else: - # single_result, error = dblquad(integrand_func, - # #Without finite size effects, integral blows up at M31 center - # 0, self.ds, - # lambda d: 0, - # lambda d: self.u_t, - # args=(10**mf, t), - # epsabs=epsabs, - # epsrel=epsrel, - # ) - - # result += single_result * ((10**mf/1) ** -self.p) * dm # multiply by mass function and by dlogm. This is for dN/dlogM - - # result *= self.Z # normalization - # return result - def inner_integrand(u, d, m): return integrand_func(u, d, m, t) diff --git a/LensCalcPy/interpolations/interps.py b/LensCalcPy/interpolations/interps.py index 1412b12..ef55d0b 100644 --- a/LensCalcPy/interpolations/interps.py +++ b/LensCalcPy/interpolations/interps.py @@ -11,3 +11,6 @@ with open(file_path + "/ut_interp_rho.pkl", "rb") as f: ut_interp_rho = pickle.load(f) + +with open(file_path + "/u_fwhm_interp.pkl", "rb") as f: + u_fwhm_interp = pickle.load(f) diff --git a/LensCalcPy/interpolations/u_fwhm_interp.pkl b/LensCalcPy/interpolations/u_fwhm_interp.pkl new file mode 100644 index 0000000000000000000000000000000000000000..40856c5eeec9bfaf1923065c8923d2b3972493a1 GIT binary patch literal 8047 zcmZwMcR1Dm-@tJrD`aM5?@h@lsn^@Akd<$dvdPS*sHBXDgk#HAkt7nCi9}?CjO-Co zM#?DTexL8}y6@}0uj@X4cwFbR&ina3$2sqFom+bn?D$Cjy+yHk+d6q%lXbe{WAEkR z?rQC0FKg*_*@+OvZft+q*VWqVq?eQ3>Hpd5?nQ_vNCXpZ5X7S>-RylF-R%fbl&(%! z?5({BQFJ!$zE|wLE$zL$@PQFgdoJUX2~qp6_`2c8uyyycmv!@X^>MQH^0K~$54ZHP zw{^eb?c?QZ>w~WwMe*-}gea;jcKy1bzTN4h8qJD+PF z_QX@j9F7no?*3;lc@(KCL0?~AXBXf8{i93bL$Ha^SPo<@J~;1EMU`+m|5M0qv{62y^a8x< zodk{h%Yj1v9<@|OHJtS>`B9h907JUtijjuR;A+VpzHQhJo5K}d=hwS|`@rjcw(Xxm zp_HsnWN{drZw*?1wI1toZ`K2qxEKqCnkXp=+v(0`s( zVMM^$j?_h(^#OND`H?s{Bv{ieIMX@4A+PrgxQt3ZVjuj8al$Wa{7& zO;4JcK_mFu9nQP`ss)TPn`4W!I)UNzDI1pKz0f-ybN|iPLGbUn8cP{J4ijy1oyU}B z-~rQB(kzh$sA_h}WVT!ZiVJyJmdDm$-$@hhKJP8~)p4zSQGpCiH+YyapP@pDN9dk# zf1*d<6wI?(_Ol=_DqF&$3kTZHDGXLs`@gdhMu=jww6piNwZCHLbmg+8os*mW6>lf} z>LW-*QTkcC`r3OF{+}t+<<%t(CpdCMsPl7^khqp8G>0hP1!`8WqQrp*u-D1ZB*`xs zN-sPTQsl{kyEMzr!(Z}1BeyM;qO}k_l%n$kd0v3Ub&W%TZRH@4|2A--uo~Vi#4+6r zZh+HNGfAN=&9L+Hv0!^u8*E!Te=q;18+19ffbV`E2ng#vvdbQVX7xKNX>Q{n@-_4q zm+Lg#Z(NHvIWrH`?^A6+eF%!FcwO%{WgJg90K>8gz{gxOA&TI#(o z;60_0&Ci;05Kki!{*qY@B3lKehBq1@*EB)uJYzHXhqIGeRkndVCEflHCfy+F8o%oj z-3R>Fc25px4M9Y^yXoq+(Dq|hXtssEQ`zCsQnnW+}ry^p5hGd4Sku^Hsvx6wPX_#(zsX4$N#AS?ya$Yc2f!W#xIlw z4dCAW>jI*bxYyh+EIdSoXI+%ou`Uhg+(wZQbpua zxc58BL}~}_Reg8Ec1v;_*s?+`rEqVJWZ(-{+#3{0(&meM8M*|Wsc>)Lh`Hku?v>;BTdGntUy@{VTTu`IBf>XK%7odv&YPPCkR zl?_jQgQo8N^BCC3XY1}BDS`048PA3fm4nTV$;41q+&fmwQf}G+5nS)it^RrkGpMAo zCbtc2j^*6i*6RkjsA$`e@IE+d-$renJ_MV4*II&c@52Xk>qfX&)JsphQEwi4yIJCU z)s`UU;BqJj?p>@IeOiZm<2XJ){f>J#%9H7kzTdj#iatFMPmJcC!F3%_`>Ujld3^{SH-RZv}d({JYpe!n_g zbo|%II}o9|>{1ce25m7j`?IvWAw4{SP<6WxVyIh;-X;%0Sktarh08enOl;_U<2((| zbsbkO;ND1>~>K$l*SK4Fi*9J|5aVaU)ZaA^;2mkkgJ}}jt_n(X#0)LCAE$+_a zaQVg;&(BWNP*xHDs8kpCs>@o?;ofmQquLL+cQx!tQ6TO;?@6ChhWd)JS!HjSU(E37v^@v1%t zwyO`M?R}qvnR^?LY3g%0eCO1&#Qx{7VyO7=4{r%PF^W1qHn&V0zSTI}4 z>PO)BtJ~kdU346WY@zqg=8n@~b?nnjj?O#`Al`jiXbDIcA}w#=-fr1=mZP}Wk;DC` zBknbtk|xmN-t2vUq}E0$QFf9Sl^O2cI2iBp$AcMdUZfG9#=ZP+PQTp1z3(4QH z3Cj(7qfc61!t?z;+~kCEh)W1B_uF3q$&rG?kyCZxX!lmwVZI4gj<0cET>b!5iMCo? 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DO NOT EDIT! File to edit: ../nbs/09_lightcurves.ipynb. + +# %% auto 0 +__all__ = [] + +# %% ../nbs/09_lightcurves.ipynb 3 +from .parameters import * +from .utils import * +from .lens import * +from scipy.integrate import quad, nquad +from scipy.optimize import fsolve +from scipy.interpolate import RegularGridInterpolator +from tqdm import tqdm + +import numpy as np +import matplotlib.pyplot as plt + +from fastcore.test import * + +from abc import ABC, abstractmethod diff --git a/LensCalcPy/pbh.py b/LensCalcPy/pbh.py index 55ff5c1..bd94bce 100644 --- a/LensCalcPy/pbh.py +++ b/LensCalcPy/pbh.py @@ -11,6 +11,7 @@ import numpy as np import matplotlib.pyplot as plt +from math import erf from scipy.integrate import nquad, dblquad, tplquad from scipy.optimize import minimize_scalar, fsolve, brentq from scipy.integrate import quad @@ -26,7 +27,7 @@ from fastcore.test import * -# %% ../nbs/00_pbh.ipynb 16 +# %% ../nbs/00_pbh.ipynb 5 class Pbh(Lens): """A class to represent a PBH population""" @@ -40,7 +41,8 @@ def __init__(self, u_t = 1, ds = 770, lognorm=False, - sigma=None + sigma=None, + ut_interp = None, ): """ Initialize the PBH population @@ -61,7 +63,10 @@ def __init__(self, raise ValueError("f_dm must be between 0 and 1") self.f_dm = f_dm # self.ut_interp = ut_interp - self.ut_interp = ut_func_new + if ut_interp is None: + self.ut_interp = ut_func_new + else: + self.ut_interp = ut_interp self.u_t = u_t self.ds = ds self.lognorm = lognorm @@ -93,13 +98,7 @@ def differential_rate_integrand(self, umin, d, t, model, finite=False, v_disp=No if t_duration > tmax or t_duration < tmin: return 0 elif t_fwhm: - # if finite: - # t_E = t_E_from_t_fwhm_finite(t, umin, rho_func(self.mass, d, self.ds)) - # else: - # t_E = t_E_from_t_fwhm(t, umin) - t_E = t_e_from_fwhm(t, umin, finite, rho_func(self.mass, d, self.ds), ut) - # t_E = t_e_from_fwhm(t, umin, True, rho_func(self.mass, d, self.ds), ut) - + t_E = t_e_from_fwhm(t, umin, finite, rho_func(self.mass, d, self.ds)) v_rad = einstein_rad(d, self.mass, self.ds) * kpctokm / (t_E * htosec) else: #Calculate radial velocity in terms of event duration (t_fwhm) @@ -114,34 +113,13 @@ def differential_rate_integrand(self, umin, d, t, model, finite=False, v_disp=No np.exp(-(v_rad**2 / v_disp**2)) * 1) - def differential_rate_integrand_mw(self, umin, d, t, finite=False): - return self.differential_rate_integrand(umin, d, t, self.mw_model, finite=finite) + def differential_rate_integrand_mw(self, umin, d, t, finite=False, t_fwhm=False): + return self.differential_rate_integrand(umin, d, t, self.mw_model, finite=finite, t_fwhm=t_fwhm) - def differential_rate_integrand_m31(self, umin, d, t, finite=False): - return self.differential_rate_integrand(umin, d, t, self.m31_model, finite=finite) + def differential_rate_integrand_m31(self, umin, d, t, finite=False, t_fwhm=False): + return self.differential_rate_integrand(umin, d, t, self.m31_model, finite=finite, t_fwhm=t_fwhm) def differential_rate(self, t, integrand_func, finite=False, epsabs=1.49e-08, epsrel=1.49e-08): - # if finite: - # result, error = dblquad(integrand_func, - # 0, self.d_upper_bound(), - # lambda d: 0, - # lambda d: self.umin_upper_bound(d), - # args=[t], - # epsabs=0, - # epsrel=1e-1, - # ) - # else: - # result, error = dblquad(integrand_func, - # #Without finite size effects, integral blows up at M31 center - # 0, self.ds*0.99, - # # 0, self.d_upper_bound(), - # lambda d: 0, - # lambda d: self.u_t, - # args=[t], - # epsabs=0, - # epsrel=1e-1, - # ) - # return result def inner_integrand(u, d, t): return integrand_func(u, d, t) @@ -163,32 +141,6 @@ def second_integral(d, t): return result def rate_total(self, integrand_func, finite=True, tcad=0.07, tobs=3, epsabs = 1.49e-08, epsrel = 1.49e-08, efficiency=None): - - # if efficiency is None: - # def efficiency(t): - # return 1 - - # point = self.sticking_point() - - # def integrand(t, d, finite): - # if finite: - # u_bounds = [0, self.umin_upper_bound(d)] - # else: - # u_bounds = [0, self.u_t] - # u_result, _ = nquad(integrand_func, [u_bounds], args=(d, t)) - # return u_result * efficiency(t) - - # bounds_t = [tcad, tobs] - - # if finite: - # bounds_d = [0, min(self.d_upper_bound(), self.ds)] - # else: - # bounds_d = [0, self.ds] - - # opts = {"epsabs": epsabs, "epsrel": epsrel, "points":[point, self.ds]} - - # result, error = nquad(integrand, [bounds_t, bounds_d], args=[finite], opts=opts) - # return result # Innermost double integral def inner_integrand(u, d, t): @@ -197,7 +149,9 @@ def inner_integrand(u, d, t): # Second integral (over u) - bounds given by d def second_integral(d, t): if finite: + # u_min, u_max = 0, self.umin_upper_bound(d)[0] u_min, u_max = 0, self.umin_upper_bound(d)[0] + else: u_min, u_max = 0, self.u_t @@ -211,7 +165,7 @@ def outer_integral(t): result, error = quad(second_integral, d_min, d_max, args=(t,), epsabs=epsabs, epsrel=epsrel) # return result * self.mass_function(mf) * mf * np.log(10) # multiply by mass function and by dlogm * m return result - + # Integrate over time result, error = quad(outer_integral, tcad, tobs, epsabs=epsabs, epsrel=epsrel) return result @@ -227,20 +181,26 @@ def d_upper_bound(self, m=None): return d return self.ds - def rate_mw(self, finite=False, tcad = 0.07, tobs = 3, efficiency=None, epsabs = 1.49e-08, epsrel = 1.49e-08): + def rate_mw(self, finite=True, tcad = 0.07, tobs = 3, efficiency=None, epsabs = 1.49e-08, epsrel = 1.49e-08, t_fwhm=False): def integrand_func(umin, d, t): - return self.differential_rate_integrand_mw(umin, d, t, finite=finite,) + return self.differential_rate_integrand_mw(umin, d, t, finite=finite, t_fwhm=t_fwhm) return self.rate_total(integrand_func, finite=finite, tcad=tcad, tobs=tobs, efficiency=efficiency, epsabs=epsabs, epsrel=epsrel) - def rate_m31(self, finite=False): - result = self.rate_total(self.differential_rate_integrand_m31, finite=finite) + def rate_m31(self, finite=True, tcad = 0.07, tobs = 3, efficiency=None, epsabs = 1.49e-08, epsrel = 1.49e-08, t_fwhm=False): + def integrand_func(umin, d, t): + return self.differential_rate_integrand_m31(umin, d, t, finite=finite, t_fwhm=t_fwhm) + # result = self.rate_total(self.differential_rate_integrand_m31, finite=finite) + result = self.rate_total(integrand_func, finite=finite, tcad=tcad, tobs=tobs, efficiency=efficiency, epsabs=epsabs, epsrel=epsrel) if not np.isnan(result): return result else: return 0 - def rate_tot(self, finite=False): - return self.rate_mw(finite=finite) + self.rate_m31(finite=finite) + def rate_tot(self, finite=True, tcad = 0.07, tobs = 3, efficiency=None, epsabs = 1.49e-08, epsrel = 1.49e-08, t_fwhm=False): + rate_mw = self.rate_mw(finite=finite, tcad=tcad, tobs=tobs, efficiency=efficiency, epsabs=epsabs, epsrel=epsrel, t_fwhm=t_fwhm) + rate_m31 = self.rate_m31(finite=finite, tcad=tcad, tobs=tobs, efficiency=efficiency, epsabs=epsabs, epsrel=epsrel, t_fwhm=t_fwhm) + return rate_mw + rate_m31 + # return self.rate_mw(finite=finite) + self.rate_m31(finite=finite) def differential_rate_mw(self, t, finite=True, v_disp=None, t_e=False, tmax=np.inf, tmin=0, t_fwhm=False): def integrand_func(umin, d, t): @@ -258,11 +218,11 @@ def umin_upper_bound(self, d, m=None): rho = rho_func(m, d, self.ds) return self.ut_interp(rho, magnification(self.u_t)) - def differential_rate_total(self, t, finite=True): - return self.differential_rate_mw(t, finite=finite) + self.differential_rate_m31(t, finite=finite) + def differential_rate_total(self, t, finite=True, t_fwhm=False): + return self.differential_rate_mw(t, finite=finite, t_fwhm=t_fwhm) + self.differential_rate_m31(t, finite=finite, t_fwhm=t_fwhm) - def compute_differential_rate(self, ts, finite=False): - return [self.differential_rate_total(t, finite=finite) for t in ts] + def compute_differential_rate(self, ts, finite=True, t_fwhm=False): + return [self.differential_rate_total(t, finite=finite, t_fwhm=t_fwhm) for t in ts] def sticking_point(self): #Determine where u_t is maximized. This speeds up the integral in m31 @@ -331,3 +291,68 @@ def differential_rate_mw_lognorm(self, t, finite=True, v_disp=None, t_e=False, t def integrand_func(umin, d, mf, t): return self.differential_rate_integrand_lognorm(umin, d, t, mf, self.mw_model, finite=finite, v_disp=v_disp, t_e = t_e, tmax=tmax, tmin=tmin) return self.differential_rate_lognorm(t, integrand_func, finite=finite, epsabs = epsabs, epsrel = epsrel) + + + def differential_rate_integrand_new(self, umin, d, model, finite=False, v_disp=None, tcad = 0.07, tobs = 3, t_fwhm=False): + + r = model.dist_center(d, self.l, self.b) + ut = self.umin_upper_bound(d) if finite else self.u_t + if ut <= umin: + return 0 + if v_disp is None: + v_disp = model.velocity_dispersion_dm(r) + + if t_fwhm: + ut = u_fwhm_interp([rho_func(self.mass, d, self.ds), umin])[0] + + A = 2/(ut**2 - umin**2)**0.5 * model.density_dm(d, self.l, self.b) / (self.mass * (v_disp*htosec)**2 ) * (2 * einstein_rad(d, self.mass, self.ds)* (ut**2 - umin**2)**0.5)**4 * kpctokm**2 + B = (2*einstein_rad(d, self.mass, self.ds) * kpctokm * (ut**2 - umin**2)**0.5)**2 / (v_disp*htosec)**2 + + def integral_t(t): + return A/(2*B) * (np.exp(-B/t**2 )/t - np.pi**(1/2) * erf(B**(1/2)/t) /(2* B**(1/2))) + + return integral_t(tobs) - integral_t(tcad) + + def rate_total_new(self, integrand_func, finite=True, tcad=0.07, tobs=3, epsabs = 1.49e-08, epsrel = 1.49e-08, efficiency=None): + + # Innermost double integral + def inner_integrand(u, d): + return integrand_func(u, d) + + # Second integral (over u) - bounds given by d + def second_integral(d): + if finite: + u_min, u_max = 0, self.umin_upper_bound(d)[0] + + else: + u_min, u_max = 0, self.u_t + + result, error = quad(inner_integrand, u_min, u_max, args=(d), epsabs=epsabs, epsrel=epsrel) + + return result + + # Outermost integral (over d) + d_min, d_max = 0, self.d_upper_bound() if finite else self.ds + result, error = quad(second_integral, d_min, d_max, epsabs=epsabs, epsrel=epsrel) + return result + + def rate_mw_new(self, finite=True, tcad = 0.07, tobs = 3, efficiency=None, epsabs = 1.49e-08, epsrel = 1.49e-08, t_fwhm=False): + def integrand_func(umin, d): + return self.differential_rate_integrand_new(umin, d, self.mw_model, finite=finite, tcad=tcad, tobs=tobs, t_fwhm=t_fwhm) + return self.rate_total_new(integrand_func, finite=finite, tcad=tcad, tobs=tobs, efficiency=efficiency, epsabs=epsabs, epsrel=epsrel) + + def rate_m31_new(self, finite=True, tcad = 0.07, tobs = 3, efficiency=None, epsabs = 1.49e-08, epsrel = 1.49e-08, t_fwhm=False): + def integrand_func(umin, d): + return self.differential_rate_integrand_new(umin, d, self.m31_model, finite=finite, tcad=tcad, tobs=tobs, t_fwhm=False) + result = self.rate_total_new(integrand_func, finite=finite, tcad=tcad, tobs=tobs, efficiency=efficiency, epsabs=epsabs, epsrel=epsrel) + if not np.isnan(result): + return result + else: + return 0 + + def rate_tot_new(self, finite=True, tcad = 0.07, tobs = 3, efficiency=None, epsabs = 1.49e-08, epsrel = 1.49e-08, t_fwhm=False): + rate_mw = self.rate_mw_new(finite=finite, tcad=tcad, tobs=tobs, efficiency=efficiency, epsabs=epsabs, epsrel=epsrel, t_fwhm=t_fwhm) + rate_m31 = self.rate_m31_new(finite=finite, tcad=tcad, tobs=tobs, efficiency=efficiency, epsabs=epsabs, epsrel=epsrel, t_fwhm=t_fwhm) + return rate_mw + rate_m31 + # return self.rate_mw(finite=finite) + self.rate_m31(finite=finite) + diff --git a/LensCalcPy/survey.py b/LensCalcPy/survey.py index 9bc6d29..f765af3 100644 --- a/LensCalcPy/survey.py +++ b/LensCalcPy/survey.py @@ -80,11 +80,12 @@ def add_ffp(self, def get_crossing_times_rates_pbh(self, t_es: np.ndarray, finite: bool = False, + t_fwhm: bool = False, ) -> np.ndarray: if self.pbh is None: raise ValueError("PBH population not defined") - return self.pbh.compute_differential_rate(t_es, finite=finite) + return self.pbh.compute_differential_rate(t_es, finite=finite, t_fwhm=t_fwhm) def get_crossing_times_rates_ffp(self, t_es: np.ndarray, diff --git a/LensCalcPy/utils.py b/LensCalcPy/utils.py index 21fc08d..f4554b2 100644 --- a/LensCalcPy/utils.py +++ b/LensCalcPy/utils.py @@ -1,24 +1,25 @@ # AUTOGENERATED! DO NOT EDIT! File to edit: ../nbs/04_utils.ipynb. # %% auto 0 -__all__ = ['ut_interp', 'ut_interp_mw', 'ut_interp_rho', 'm_low_interp', 'm_high_interp', 'rho_min', 'rho_max', 'rhos', - 'A_thresh_min', 'A_thresh_max', 'A_threshs', 'dist_mw', 'dist_m31', 'density_mw', 'density_m31', +__all__ = ['ut_interp', 'ut_interp_mw', 'ut_interp_rho', 'u_fwhm_interp', 'm_low_interp', 'm_high_interp', 'rho_min', 'rho_max', + 'rhos', 'A_thresh_min', 'A_thresh_max', 'A_threshs', 'dist_mw', 'dist_m31', 'density_mw', 'density_m31', 'mass_enclosed_mw', 'mass_enclosed_m31', 'velocity_dispersion_mw', 'velocity_dispersion_m31', 'dist', 'einstein_rad', 'velocity_radial', 'event_duration', 'get_primed_coords', 'scientific_format', 'w_func', 'rho_func', 'magnification', 'magnification_wave', 'displacement', 'integrand_polar_wave', 'integrand_polar', 'magnification_finite_wave', 'magnification_finite', 'u_t_finite', 'u_t_point', 'u_t_finite_wave', - 'make_ut_interp', 'ut_func_new'] + 'make_ut_interp', 'ut_func_new', 'f_func', 't_fwhm_gondolo', 't_e_from_fwhm'] # %% ../nbs/04_utils.ipynb 3 from .parameters import * import numpy as np from numpy import pi from scipy.integrate import quad, nquad -from scipy.optimize import brentq +from scipy.optimize import brentq, fsolve from pathos.multiprocessing import ProcessingPool as Pool -from scipy.interpolate import interp1d, interp2d +from scipy.interpolate import interp1d, interp2d, RegularGridInterpolator import pickle -from .interpolations.interps import ut_interp, ut_interp_mw, ut_interp_rho +from .interpolations.interps import ut_interp, ut_interp_mw, ut_interp_rho, u_fwhm_interp +from tqdm import tqdm import matplotlib.pyplot as plt @@ -29,6 +30,7 @@ ut_interp = ut_interp ut_interp_mw = ut_interp_mw ut_interp_rho = ut_interp_rho +u_fwhm_interp = u_fwhm_interp # %% ../nbs/04_utils.ipynb 5 def dist_mw(d: float, # distance from the Sun in kpc @@ -251,7 +253,7 @@ def calc_ut_arr(m): ut_interp = interp2d(d_arr, m_arr, ut_values) return ut_interp -# %% ../nbs/04_utils.ipynb 13 +# %% ../nbs/04_utils.ipynb 14 #Ratio of angular extent of source and lens in plane of lens # rho == theta_s/theta_l rho_min = 0.1 @@ -267,7 +269,7 @@ def calc_ut_arr(m): A_threshs = np.linspace(A_thresh_min, A_thresh_max, 40) -# %% ../nbs/04_utils.ipynb 15 +# %% ../nbs/04_utils.ipynb 16 def ut_func_new(rho, A_thresh): # rho = np.asarray(rho) rho = np.atleast_1d(rho) # Ensure rho is at least 1-dimensional @@ -275,3 +277,23 @@ def ut_func_new(rho, A_thresh): rho[np.where(rho >= rho_max)] = rho_max # return ut_interp_rho(rho) return ut_interp_rho(rho, A_thresh) + +# %% ../nbs/04_utils.ipynb 30 +def f_func(x): + return (2 + x)/(x*(4+x))**(0.5) - 1 + +def t_fwhm_gondolo(t_e, umin): + deltab = f_func(umin**2) + bw2 = 2* f_func(deltab) + w_b = 2*(bw2 - umin**2)**(1/2) + return w_b * t_e + +def t_e_from_fwhm(t_fwhm, umin, finite, rho=None): + if not finite: + return t_fwhm / t_fwhm_gondolo(1, umin) + else: + u_fwhm = u_fwhm_interp([rho, umin])[0] + if u_fwhm<=umin: + print('u_fwhm<=umin') + return 1e-3 + return t_fwhm / (2*(u_fwhm**2 - umin**2)**(1/2)) diff --git a/examples/extended.ipynb b/examples/extended.ipynb new file mode 100644 index 0000000..78dd35f --- /dev/null +++ b/examples/extended.ipynb @@ -0,0 +1,753 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 159, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "import pandas as pd\n", + "import seaborn as sns\n", + "from scipy.integrate import nquad, dblquad, tplquad\n", + "from scipy.optimize import minimize_scalar, fsolve, brentq\n", + "from scipy.integrate import quad\n", + "\n", + "from scipy.interpolate import interp1d, interp2d, RegularGridInterpolator\n", + "from tqdm import tqdm\n", + "# from multiprocessing import Pool\n", + "from pathos.multiprocessing import ProcessingPool as Pool\n", + "import functools\n", + "import pickle\n", + "from abc import ABC, abstractmethod\n", + "\n", + "from LensCalcPy.survey import *\n", + "from LensCalcPy.lens import * \n", + "from LensCalcPy.pbh import *\n", + "from LensCalcPy.utils import *\n", + "from LensCalcPy.galaxy import *\n", + "from LensCalcPy.parameters import *\n", + "\n", + "\n", + "from fastcore.test import *" + ] + }, + { + "cell_type": "code", + "execution_count": 160, + "metadata": {}, + "outputs": [], + "source": [ + "plt.style.use(\"style.mplstyle\")\n", + "sns.set_palette(\"colorblind\")" + ] + }, + { + "cell_type": "code", + "execution_count": 66, + "metadata": {}, + "outputs": [], + "source": [ + "#| export\n", + "\n", + "\n", + "class Nfw(Lens):\n", + " \"\"\"A class to represent a PBH population\"\"\"\n", + "\n", + " def __init__(self,\n", + " mass: float, # PBH mass in solar masses\n", + " mw_model=None,\n", + " l = None,\n", + " b = None,\n", + " ds = 770,\n", + " ut_interp = None,\n", + " r90 = None\n", + " ):\n", + " \"\"\"\n", + " Initialize the PBH population\n", + " \"\"\"\n", + "\n", + " self.mw_model = mw_model or MilkyWayModel(mw_parameters)\n", + " \n", + " if l is None:\n", + " raise ValueError(\"Galactic longitude must be specified\")\n", + " if b is None:\n", + " raise ValueError(\"Galactic latitude must be specified\")\n", + " self.l = l\n", + " self.b = b\n", + "\n", + " self.mass = mass\n", + " self.ut_interp = ut_interp\n", + " self.ds = ds\n", + " self.r90 = r90 #radius of 90% of the mass of the halo in kpc\n", + " \n", + " def __str__(self) -> str:\n", + " return f\"NFW population with mass={self.mass}\"\n", + " __repr__ = __str__\n", + "\n", + "\n", + " def differential_rate_integrand(self, umin, d, t, model, finite=False, v_disp=None, t_e = False, tmax=np.inf, tmin=0, t_fwhm=False):\n", + "\n", + " r = model.dist_center(d, self.l, self.b)\n", + " ut = self.umin_upper_bound(d) \n", + " if ut <= umin:\n", + " return 0\n", + " if t_e: \n", + " #Calculate radial velocity in terms of einstein crossing time\n", + " v_rad = einstein_rad(d, self.mass, self.ds) * kpctokm / (t * htosec) \n", + " t_duration = max(ut, self.umin_upper_bound(d)) * 2 * einstein_rad(d, self.mass) * kpctokm / v_rad / htosec #event duration in hours\n", + "\n", + " if t_duration > tmax or t_duration < tmin:\n", + " return 0 \n", + " else:\n", + " #Calculate radial velocity in terms of event duration (t_fwhm)\n", + " v_rad = velocity_radial(d, self.mass, umin, t * htosec, ut) \n", + " if v_disp is None: \n", + " v_disp = model.velocity_dispersion_dm(r)\n", + "\n", + " return 2 * (1 / (ut**2 - umin**2)**0.5 *\n", + " model.density_dm(d, self.l, self.b) / (self.mass * v_disp**2) * \n", + " v_rad**4 * (htosec / kpctokm)**2 *\n", + " np.exp(-(v_rad**2 / v_disp**2)) *\n", + " 1)\n", + "\n", + " def differential_rate_integrand_mw(self, umin, d, t, finite=False):\n", + " return self.differential_rate_integrand(umin, d, t, self.mw_model, finite=finite)\n", + " \n", + " \n", + " def differential_rate(self, t, integrand_func, finite=False, epsabs=1.49e-08, epsrel=1.49e-08):\n", + "\n", + " def inner_integrand(u, d, t):\n", + " return integrand_func(u, d, t)\n", + " \n", + " # Second integral (over u) - bounds given by d\n", + " def second_integral(d, t):\n", + " \n", + " u_min, u_max = 0, self.umin_upper_bound(d)\n", + " \n", + " result, error = quad(inner_integrand, u_min, u_max, args=(d, t), epsabs=epsabs, epsrel=epsrel)\n", + "\n", + " return result\n", + " \n", + " # Outermost integral (over d)\n", + " d_min, d_max = 0, self.ds\n", + " result, error = quad(second_integral, d_min, d_max, args=(t,), epsabs=epsabs, epsrel=epsrel)\n", + " return result\n", + "\n", + " def rate_total(self, integrand_func, finite=True, tcad=0.07, tobs=3, epsabs = 1.49e-08, epsrel = 1.49e-08, efficiency=None): \n", + "\n", + " # Innermost double integral\n", + " def inner_integrand(u, d, t):\n", + " return integrand_func(u, d, t)\n", + " \n", + " # Second integral (over u) - bounds given by d\n", + " def second_integral(d, t):\n", + "\n", + " u_min, u_max = 0, self.umin_upper_bound(d)\n", + " \n", + " result, error = quad(inner_integrand, u_min, u_max, args=(d, t), epsabs=epsabs, epsrel=epsrel)\n", + "\n", + " return result\n", + " \n", + " # Outermost integral (over d)\n", + " def outer_integral(t):\n", + " d_min, d_max = 0, self.ds\n", + " result, error = quad(second_integral, d_min, d_max, args=(t,), epsabs=epsabs, epsrel=epsrel)\n", + " # return result * self.mass_function(mf) * mf * np.log(10) # multiply by mass function and by dlogm * m\n", + " return result \n", + " \n", + " # Integrate over time\n", + " result, error = quad(outer_integral, tcad, tobs, epsabs=epsabs, epsrel=epsrel)\n", + " return result\n", + " \n", + " def rate_mw(self, finite=False, tcad = 0.07, tobs = 3, efficiency=None, epsabs = 1.49e-08, epsrel = 1.49e-08):\n", + " def integrand_func(umin, d, t):\n", + " return self.differential_rate_integrand_mw(umin, d, t, finite=finite,)\n", + " return self.rate_total(integrand_func, finite=finite, tcad=tcad, tobs=tobs, efficiency=efficiency, epsabs=epsabs, epsrel=epsrel)\n", + " \n", + " def differential_rate_mw(self, t, finite=True, v_disp=None, t_e=False, tmax=np.inf, tmin=0, t_fwhm=False):\n", + " def integrand_func(umin, d, t):\n", + " return self.differential_rate_integrand(umin, d, t, self.mw_model, finite=finite, v_disp=v_disp, t_e = t_e, tmax=tmax, tmin=tmin, t_fwhm=t_fwhm)\n", + " return self.differential_rate(t, integrand_func, finite=finite)\n", + "\n", + " def umin_upper_bound(self, d, m=None):\n", + " if m is None:\n", + " m = self.mass\n", + " rE = einstein_rad(d, m, self.ds)\n", + " return self.ut_interp(self.r90/rE)\n", + " \n", + " def differential_rate_total(self, t, finite=True):\n", + " return self.differential_rate_mw(t, finite=finite) + self.differential_rate_m31(t, finite=finite)\n", + " \n", + " def compute_differential_rate(self, ts, finite=False):\n", + " return [self.differential_rate_total(t, finite=finite) for t in ts]\n", + " \n" + ] + }, + { + "cell_type": "code", + "execution_count": 138, + "metadata": {}, + "outputs": [], + "source": [ + "roman_df = pd.read_csv('roman_sensitivity.csv', header=None, names=['t_e [days]', 'efficiency'])\n", + "roman_efficiency_interp = interp1d(roman_df['t_e [days]'], roman_df['efficiency'])\n", + "def roman_efficiency(t):\n", + " '''\n", + " Takes in crossing time in hours and returns the efficiency of Roman\n", + " '''\n", + " t_day = t/24\n", + " if t_day <= np.min(roman_df['t_e [days]']):\n", + " return roman_df['efficiency'][0]\n", + " if t_day >= np.max(roman_df['t_e [days]']):\n", + " return roman_df['efficiency'][len(roman_df)-1]\n", + " return(roman_efficiency_interp(t_day))" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "df = pd.read_csv('extended_dat/nfw_134.csv', header=None)\n", + "ut_nfw_interp = interp1d(df[0], df[1], kind='linear')\n", + "def ut_nfw(r90_re):\n", + " if r90_re < (ut_nfw_interp.x[0]):\n", + " return 1\n", + " elif r90_re > (ut_nfw_interp.x[-1]):\n", + " return 0\n", + " return ut_nfw_interp(r90_re)" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "r90_re_arr = np.logspace(-1,2,100)\n", + "ut_nfw_vals = np.array([ut_nfw(r90_re) for r90_re in r90_re_arr])" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(r90_re_arr, ut_nfw_vals)\n", + "plt.xscale('log')" + ] + }, + { + "cell_type": "code", + "execution_count": 87, + "metadata": {}, + "outputs": [], + "source": [ + "# params = {\"l\": 1.0, \"b\": -1.03, \"source_dist\": 8.5, \"obs_time\": 6*72*24, \"cadence\": 15/60, \"n_sources\": 2.4e8, \"efficiency\": 1, \"A_t\": 1.34, \"survey_area\":0}\n", + "params = {\"l\": 1.0, \"b\": -1.03, \"source_dist\": 8.5, \"obs_time\": 6*72*24, \"cadence\": 15/60, \"n_sources\": 2.4e8, \"efficiency\": 1, \"A_t\": 1.34, \"survey_area\":0}\n" + ] + }, + { + "cell_type": "code", + "execution_count": 77, + "metadata": {}, + "outputs": [], + "source": [ + "rsolkpc = 2.25e-11\n", + "nfw3=Nfw(1e-6, l=s.l, b=s.b, ds=s.source_dist, ut_interp=ut_nfw, r90=rsolkpc*3)\n", + "nfw30=Nfw(1e-6, l=s.l, b=s.b, ds=s.source_dist, ut_interp=ut_nfw, r90=rsolkpc*30)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 82, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_53937/2342537050.py:78: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", + " result, error = quad(inner_integrand, u_min, u_max, args=(d, t), epsabs=epsabs, epsrel=epsrel)\n" + ] + } + ], + "source": [ + "ts = np.logspace(-2,2,40)\n", + "diff_rate_3 = np.array([nfw3.differential_rate_mw(t) for t in ts])\n", + "diff_rate_30 = np.array([nfw30.differential_rate_mw(t) for t in ts])" + ] + }, + { + "cell_type": "code", + "execution_count": 163, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + " 0%| | 0/30 [00:00" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#Real time parameters, higher precision\n", + "plt.loglog(m_arr, fdm_0, label='Point Lens')\n", + "plt.loglog(m_arr, fdm_3, label='$r_{90} = 3 R_{\\odot}$', ls='--')\n", + "plt.loglog(m_arr, fdm_30, label='$r_{90} = 30 R_{\\odot}$', ls=':')\n", + "plt.axvline(1e-11, ls='--', color='k', label='Finite cutoff')\n", + "plt.ylim(1e-7, 1)\n", + "plt.legend()\n", + "plt.xlabel('$M_{PBH} [M_{\\odot}]$')\n", + "plt.ylabel('$f_{PBH}$')\n", + "plt.title('Point Source Mock Roman')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 145, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#Efficiency + Real time parameters\n", + "plt.loglog(m_arr, fdm_0, label='Point Lens')\n", + "plt.loglog(m_arr, fdm_3, label='$r_{90} = 3 R_{\\odot}$', ls='--')\n", + "plt.loglog(m_arr, fdm_30, label='$r_{90} = 30 R_{\\odot}$', ls=':')\n", + "plt.ylim(1e-7, 1)\n", + "plt.legend()\n", + "plt.xlabel('$M_{PBH} [M_{\\odot}]$')\n", + "plt.ylabel('$f_{PBH}$')\n", + "plt.title('Point Source Mock Roman')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 137, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.loglog(m_arr, fdm_0, label='Point Lens')\n", + "plt.loglog(m_arr, fdm_3, label='$r_{90} = 3 R_{\\odot}$', ls='--')\n", + "plt.loglog(m_arr, fdm_30, label='$r_{90} = 30 R_{\\odot}$', ls=':')\n", + "plt.ylim(1e-7, 1)\n", + "plt.legend()\n", + "plt.xlabel('$M_{PBH} [M_{\\odot}]$')\n", + "plt.ylabel('$f_{PBH}$')\n", + "plt.title('Point Source Mock Roman')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 85, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_53937/2342537050.py:98: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", + " result, error = quad(inner_integrand, u_min, u_max, args=(d, t), epsabs=epsabs, epsrel=epsrel)\n" + ] + }, + { + "data": { + "text/plain": [ + "4.517142147480595e-07" + ] + }, + "execution_count": 85, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "nfw3.rate_mw()" + ] + }, + { + "cell_type": "code", + "execution_count": 84, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 84, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.loglog(ts, diff_rate_3)\n", + "plt.loglog(ts, diff_rate_30, '--')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Calculate uT" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[1.6912712210513328, -0.23652745045742374, -0.23652745045741544]" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "def mass_function(t, tm):\n", + " if abs(t) < tm:\n", + " return 1 - (1 - (t/tm)**2)**(1.5)\n", + " else:\n", + " return 1\n", + "\n", + "\n", + "def general_lensing_equation(t, u, tm):\n", + " m_t = mass_function(t, tm)\n", + " return u - t + m_t/t\n", + "\n", + "def find_image_positions(u, tm):\n", + " \n", + " initial_guesses = [u, tm/2, -tm/2]\n", + "\n", + " solutions = [fsolve(general_lensing_equation, guess, args=(u, tm))[0] for guess in initial_guesses]\n", + "\n", + " # unique_solutions = np.unique(np.round(solutions, 8))\n", + "\n", + " # return unique_solutions\n", + " return solutions\n", + "\n", + "\n", + "# Example values for u and tm to find the solutions\n", + "u_example = 1.1 # Example value for u\n", + "tm_example = 0.5 # Example value for tm\n", + "\n", + "# Find the image positions for these example values\n", + "image_positions = find_image_positions(u_example, tm_example)\n", + "image_positions" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "1.1 1.5\n" + ] + } + ], + "source": [ + "print(abs(u_example), abs(tm_example - 1/tm_example))" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "1.6912712210513328\n", + "-0.5912712210513327\n", + "-0.22000000000000003\n" + ] + } + ], + "source": [ + "print(1/2 * (u_example + (4 + u_example**2)**(0.5)))\n", + "print(1/2 * (u_example - (4 + u_example**2)**(0.5)))\n", + "print(u_example/(1-3/(2* tm_example**2)))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Uniform Sphere" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "def m_of_t(t, t_m):\n", + " if abs(t)< t_m:\n", + " return 1 - (1-t**2/t_m**2)**(3/2)\n", + " else:\n", + " return 1\n", + "\n", + "def ubar(u, rs, phi):\n", + " return (u**2 + rs**2 + 2*u*rs*np.cos(phi))**0.5\n", + "\n", + "def t_func(u, rs, phi):\n", + " u = ubar(u, rs, phi)\n", + " sol = fsolve(lambda t: u - (t - m_of_t(u_val, t)/t), 0.5)\n", + " if sol.size == 0:\n", + " return np.NaN\n", + " else: \n", + " return sol[0]\n", + "\n", + "def extended_mag(u, rs):\n", + " return 1/(np.pi * rs**2) * 0.5 * quad(lambda phi: t_func(u, rs, phi)**2, 0, 2*np.pi)[0]\n", + "\n", + "def u_T_func(rs, A_T=1.34):\n", + " return fsolve(lambda u: extended_mag(u, rs) - A_T, 0.5)[0]" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "1.687946523434382" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "t_func(1, 0.5, 0)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "2.000782436807818" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "extended_mag(10, 10)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "u_T_func(1.7)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "rs_arr = np.logspace(-1, 5, 100)\n", + "u_T_arr = np.array([u_T_func(rs) for rs in rs_arr])" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "image/png": 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", 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Roundoff error is detected\n", - " in the extrapolation table. It is assumed that the requested tolerance\n", - " cannot be achieved, and that the returned result (if full_output = 1) is \n", - " the best which can be obtained.\n", - " quad_r = quad(f, low, high, args=args, full_output=self.full_output,\n", - "/Users/nolansmyth/opt/anaconda3/lib/python3.9/site-packages/scipy/integrate/_quadpack_py.py:1233: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", - " quad_r = quad(f, low, high, args=args, full_output=self.full_output,\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/Users/nolansmyth/opt/anaconda3/lib/python3.9/site-packages/scipy/integrate/_quadpack_py.py:1233: IntegrationWarning: The maximum number of subdivisions (50) has been achieved.\n", - " If increasing the limit yields no improvement it is advised to analyze \n", - " the integrand in order to determine the difficulties. If the position of a \n", - " local difficulty can be determined (singularity, discontinuity) one will \n", - " probably gain from splitting up the interval and calling the integrator \n", - " on the subranges. Perhaps a special-purpose integrator should be used.\n", - " quad_r = quad(f, low, high, args=args, full_output=self.full_output,\n" + "/Users/nolansmyth/opt/anaconda3/lib/python3.9/site-packages/LensCalcPy/pbh.py:134: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", + " result, error = quad(inner_integrand, u_min, u_max, args=(d, t), epsabs=epsabs, epsrel=epsrel)\n" ] } ], @@ -113,7 +95,7 @@ "outputs": [ { "data": { - "image/png": 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", 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", "text/plain": [ "
" ] @@ -141,14 +123,17 @@ " ti = 0.07\n", " tf = 3\n", " s.add_pbh(m)\n", - " diff_rates = s.get_crossing_times_rates_pbh(t_es, finite=False)\n", + " # diff_rates = s.get_crossing_times_rates_pbh(t_es, finite=False)\n", + " diff_rates = s.get_crossing_times_rates_pbh(t_es, finite=False, t_fwhm=True)\n", " rate_interp = interp1d(t_es, diff_rates)\n", " dnds = quad(rate_interp, ti, tf)[0]\n", " return s.n_sources*dnds*s.obs_time*s.efficiency\n", "\n", "def get_n_events_finite(m):\n", " s.add_pbh(m)\n", - " dnds = s.pbh.rate_tot(finite=True)\n", + " # dnds = s.pbh.rate_tot(finite=True)\n", + " # dnds = s.pbh.rate_tot_new(finite=True, t_fwhm=True)\n", + " dnds = s.pbh.rate_tot_new(finite=True, t_fwhm=False)\n", " return s.n_sources*dnds*s.obs_time\n", "\n", "def get_constraint_fdm(m, finite=False):\n", @@ -173,17 +158,17 @@ "cell_type": "code", "execution_count": 8, "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "100%|██████████| 25/25 [01:11<00:00, 2.85s/it]\n" - ] - } - ], + "outputs": [], + "source": [ + "m_pbhs = np.logspace(-15, -4, 25) #solar masses" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ - "m_pbhs = np.logspace(-15, -4, 25) #solar masses\n", "fdms = get_constraint_fdm_parallel(m_pbhs, finite=False)" ] }, @@ -196,14 +181,7 @@ "name": "stderr", "output_type": "stream", "text": [ - " 0%| | 0/25 [00:00" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#FWHM Version\n", + "# Define conversion factor\n", + "sol_to_gram = 1.989e33\n", + "\n", + "fig, ax2 = plt.subplots()\n", + "\n", + "# Plot on first x-axis\n", + "# ax2.plot(m_grams, fdms, 'r', ls=':')\n", + "ax2.plot(m_grams, fdm_finite, 'r', ls='-')\n", + "ax2.fill_betweenx(fdm_finite, m_grams, color='r', alpha=0.2) # shade the area above the curve\n", + "# ax2.fill_betweenx(fdms, [x*sol_to_gram for x in m_pbhs], color='r', alpha=0.2) # shade the area above the curve\n", + "\n", + "ax2.plot(x_values*sol_to_gram, y_values, 'k', ls='--')\n", + "\n", + "ax2.set_xscale('log')\n", + "ax2.set_yscale('log')\n", + "ax2.set_xlabel('PBH Mass (g)')\n", + "ax2.set_ylabel(r'$f_{PBH}$')\n", + "ax2.set_ylim(1e-5, 1e0)\n", + "ax2.set_xlim([x*sol_to_gram for x in [1e-18, 1e3]])\n", + "\n", + "ax2.tick_params(axis='both', which='both', direction='in', top=True, right=True)\n", + "\n", + "ax1 = ax2.twiny() # create a second x-axis\n", + "\n", + "# Set the limits of the second x-axis\n", + "ax1.set_xlim(1e-18, 1e3)\n", + "ax1.set_xscale('log')\n", + "ax1.set_xlabel('PBH Mass (Solar Masses)')\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 12, "metadata": {}, "outputs": [ { "data": { - "image/png": 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pU+PyDmvWrEGPHj0gl8sxe/bsOjsVNyW1jUuLFi0QFBSEoKAgvPzyyxJEJy1NY3Pt2jWEh4dDLpcjICAAO3fulChC4/Dhhx+iR48e8PPzw9atW6UOx6ikp6cjIiICcrkc/v7+amveNWeFhYXo3bs3goKC4O/vj88//1zqkCS1f/9++Pr6wsfHB1988YXU4RiNRv+cSNolysQdPnxY7Nu3T7XKuNLNmzdF586dxf3790VFRYUIDQ0VSUlJEkVpeJrGRQihthp8c6RpbK5fv65qcnjjxg3RsWNHUVRUJEGE0jtz5ozo2bOnuH//vrh//74IDQ1VNY4kIcLCwkRiYqIQQoj8/HxRXl4ucUTGoaKiQhQXFwshhCguLhZeXl4iLy9P4qikUV5eLnx8fERWVpYoKCgQ3t7eIj8/X+qwjEJjf04409QIERERGpvoVVRUoKSkBOXl5SgvL6+2sGpTVtu4NHeaxka5ZAgAtG/fHo6OjhrXWWvqzp8/j9DQUFhbW8Pa2hpBQUH473//K3VYRuHcuXOwsLDAwIEDAQCOjo5o0YKrYQGKdRZbtmwJACgpKUFlZWWzmuF/2PHjx9GjRw907NgR9vb2GD58OA4ePCh1WEahsT8nTTZpSkxMxKhRo+Dq6gqZTIY9e/ZU22f9+vXw8vKCtbU1goODcfToUZ2cu127dpg/fz48PDzg6uqKIUOGoEuXLjr57MaSclwAoKCgAMHBwRgwYACOHDmis8/VBanHRunEiROoqqqCu7u7zj9bF/Q9Tn5+foiPj8edO3dw584dHD58GNnZ2Tr8DvRH32Nz+fJl2NnZYfTo0ejVqxfee+89HUavX4b4+3Xnzh0EBgbCzc0NCxYsMNnFgxs7VtevX0fHjh1Vr93c3Ezm71BddPFz1JifkyabNBUXFyMwMBCffPJJje/HxsZizpw5ePPNN3Hq1CkMHDgQUVFRyMzMVO0THBwMPz+/ao+6VjW/ffs29u/fj4yMDGRnZyMpKQmJiYk6/f4aSspxAYCMjAwkJyfj008/xYsvvoiCggKdfW+NJfXYAIoFd1988UVs3LhRJ9+TPuh7nJR1gIMGDcLYsWPRu3dvk5lN0ffYlJeX4+jRo4iJicHPP/+MuLg4xMXFGerbaxRD/P1q3bo1Tp8+jfT0dGzfvh03btwwyPema40dq5pmTmQymV5jNhRd/Bw16udELxcNjQwAsXv3brVtffr0ETNmzFDb1q1bN7UFP7URHx9frT5lx44dYubMmarXK1euFB988EH9gjYAQ4/Lo5544gnx22+/1etzDUWKsSkpKREDBw4UW7ZsqXe8UtHnOClNnTpV7N+/v6EhSkYfY5OUlCSGDRumer1y5UqxcuXKRsdqaIb4uZkxY4bYsWNHQ0M0Gg0Zq2PHjokxY8ao3ps9e7bYtm2b3mM1NF38HNX356TJzjTVpqysDMnJyYiMjFTbHhkZiaSkpEZ/vru7O5KSklTXSxMSEuDr69voz9U3fY/L7du3UVpaCgDIyspCWloaOnfu3OjPNQR9j40QApMnT8agQYMwceLERn+eVHQ1Tjdv3gQAXLx4EcePH8ewYcN0GqcUdDE2vXv3xo0bN3D79m1UVVUhMTER3bt310e4BqWLsblx44Zq5rqgoACJiYkm8e9ufWkzVn369MHZs2eRnZ2NwsJCHDhwoEn8HaqLNmPT2J8T05jz1rG8vDxUVlbC2dlZbbuzszNyc3O1/pxhw4bh5MmTKC4uhpubG3bv3o3evXvjsccew/Dhw9GzZ0+YmZlh8ODBGD16tK6/DZ3T97icP38er7zyCszMzCCTybB27Vo4Ojrq+tvQC32PzbFjxxAbG4uAgADVNfqvvvoK/v7+uvw29E5X4zRmzBjcuXMHtra22LRpk8lcnquNLsamRYsWeO+99xAWFgYhBCIjIzFy5Eh9hGtQuhibrKwsTJ06FUIICCEwa9YsBAQE6CNcSWkzVi1atMCqVasQERGBqqoqLFiwAE5OTlKEa1DajE1jf05M/1+iRnj0Gq8Qol7XfWu7G2H58uVYvnx5g2OTkr7GJTQ0FKmpqY2KTWr6GpsBAwagqqqqUbEZk8aOky5m74xVY8cmKioKUVFRug7LKDRmbIKDg5GSkqKHqIxTXWM1evRok/jPuj7UNjaN/Tlplpfn2rZtC3Nz82r/g7l582a1DLU54bhoxrHRDsdJM46NZhwb7XGsNDPE2DTLpMnS0hLBwcHV7jqJi4tDaGioRFFJj+OiGcdGOxwnzTg2mnFstMex0swQY9NkL88VFRXhypUrqtfp6elISUmBo6MjPDw8MHfuXEycOBEhISHo168fNm7ciMzMTMyYMUPCqPWP46IZx0Y7HCfNODaacWy0x7HSTPKx0fo+OxMTHx8vAFR7TJo0SbVPTEyM8PT0FJaWlqJXr17iyJEj0gVsIBwXzTg22uE4acax0Yxjoz2OlWZSj41MiGbaZ56IiIioHpplTRMRERFRfTFpIiIiItICkyYiIiIiLTBpIiIiItICkyYiIiIiLTBpIiIiItICkyYiIiIiLTS7pGn//v3w9fWFj48PvvjiC437lZaWYsmSJSgtLTVgdKaBY6MZx0Yzjo1mHBvNODY147hops+xaVbNLSsqKiCXyxEfHw8HBwf06tULv/76KxwdHavtW1BQgFatWuHu3btwcHCQIFrjxbHRjGOjGcdGM46NZhybmnFcNNPn2DSrmabjx4+jR48e6NixI+zt7TF8+HAcPHhQ6rCIiIjIBJhU0pSYmIhRo0bB1dUVMpkMe/bsqbbP+vXr4eXlBWtrawQHB+Po0aOq965fv46OHTuqXru5uSE7O9sQoRMREZGJayF1APVRXFyMwMBATJkyBePGjav2fmxsLObMmYP169ejf//++OyzzxAVFYW0tDR4eHigpiuRMpmsxnNVVFQAAM6fP682vWdlZQVLS0sdfUemqbCwEACQnZ2NgoICiaMxLhwbzTg2mnFsNOPY1Izj8peysjK1+iXleCh/j+uUzpb+NTAAYvfu3Wrb+vTpI2bMmKG2rVu3bmLhwoVCCCGOHTsmxowZo3pv9uzZYtu2bTV+/tGjR2tcSZkPPvjggw8++DD+x9GjR3WbeAghTGqmqTZlZWVITk7GwoUL1bZHRkYiKSkJANCnTx+cPXsW2dnZcHBwwIEDB7B48eIaP8/DwwMAcPjwYXTo0EG1nTNNZDBnzgAjRgCtWwPbtkkdDRm7f/4TSEgAZs4EFi2SOhoig3l0pik3NxeDBg1S/R7XpSaTNOXl5aGyshLOzs5q252dnZGbmwsAaNGiBVatWoWIiAhUVVVhwYIFcHJyqvHzzMwU5V4+Pj5wc3PTb/BENWnx4K9nQQHg5PTXa6KaXL2qeH7iCYD/ZlEzZm9vD+Cv3+O61OT+FX60RkkIobZt9OjRGD16tKHDIqrV119/jaKiIkyYMAEtW7ZUbGzXDjA3ByorgVu3gPbtpQ2SjFdxMXDtmuLr3r2ljYWoCTOpu+dq07ZtW5ibm6tmlZRu3rxZbfapPsLDwyGXyxETE9PYEIk0mjJlCqZPn44///zzr43m5n8lSjdvShMYmYbz5wEhAFdX4EE5QXl5OcrLyyUOjMhwYmJiIJfLER4errdzNJmkydLSEsHBwYiLi1PbHhcXh9DQ0AZ/bkJCAtLS0hAdHd3YEIk0srOzAwAUFRWpv6Gsp8vLM3BEZFLOnlU8BwerNh0+fBi2trYYO3asREERGVZ0dDTS0tKQkJCgt3OY1OW5oqIiXLlyRfU6PT0dKSkpcHR0hIeHB+bOnYuJEyciJCQE/fr1w8aNG5GZmYkZM2ZIGDVR3WxtbZGfn4/i4mL1Nzp2BE6dAh6ZQSVSk5qqeH7sMdUmHx8fvPvuu7CxsZEoKKKmx6SSphMnTiAiIkL1eu7cuQCASZMmYfPmzRg/fjzy8/OxdOlS5OTkwM/PDwcOHICnp6dUIRNpxdbWFgCqJ02urornGzcMHBGZlPPnFc8PJU2dO3fGggULJAqIqGkyqaQpPDy8xgaVD5s5cyZmzpyp03NaWloiOjqal+hIb5SX56olTe7uimfWNJEmt24pfj5kMrXLc0TNTUxMDGJiYlBWVqa3c5hU0iSFhIQEthwgvVPONFWraVL+7LGmiTRJS1M8d+kCtGoFQNEJeffu3fD394evr6/GlQ+ImhLl5EZWVhbclf/h1DEmTURGQOPlOWXS9PBddUQPO31a8fxQq4HLly/j2Wefha2tLQoKCpg0EekIkyYiI7BgwQJMmTIFwY9eXlHWNOXnGz4oMg3nzime+/ZVbTpz5gwAwN/fXy8N/oiaKyZNdWBNExlCWFhYzW907Kh4Li4GSkoAa2vDBUXGTwjgwgXF1/36qTanPribzt/fX4qoiCTBmiYjwJomkpSDA2BjA9y/r7hEp6fr9GSirl9XLLNjYQEEBqo2M2mi5sgQNU2ctyUyAhcuXEBsbCx++eUX9Tdksr8aXPIOOnqUsqlljx6AlZVqs/LyXEBAgBRRETVZTJqIjMCuXbvw3HPP4V//+lf1N11cFM8sBqdHKZOmkBDVpsLCQmRkZADgTBORrjFpIjICGu+eA/6qa2KDS3qUst3AQ0XgZx8kUq6urnB0dJQiKqImizVNdWAhOBmCxuaWALuCU82qqoDLlxVfP9RuoFu3bti1a1fNP0tETRgLwY0AC8HJEDQ2twTYFZxqlpUF3LsHWFoCcrlqc5s2bfDUU09JGBiRNFgITtRM1Hp5TvmXn13B6WHK9eZ69FDcPUdEesekicgI1Hp5TlnTxKSJHqYsAn+oIaoQAh9++CH279+v10sURM0VL88RGYFaL8893BVcCEUbAiLlTFOfPqpN169fx+uvvw5zc3PWNBHpAZMmIiPg7e2NTZs2wcnJqfqbyqSpvBy4exdo3dqgsZEREqLGInBlU8uuXbvC6qG+TUSkG7w8V4fw8HDI5XLExMRIHQo1YU5OTpg8eTJGjRpV/U0rK6BNG8XXvERHgKIIvLhYUQTeo4dq88NrzhE1NzExMZDL5QgPD9fbOTjTVAfePUdGwcUFuH1bcQedt7fU0ZDUlP2ZHikC5/Ip1Jzx7jmiZqKqqgoHDhzAzp07ay7gVXYFZ9sBAmosAgeYNBHpG2eaiIzEyJEjIYRATk4OOijXm1NiV3B6WA1F4CUlJTj/YDuTJiL94EwTkREwMzNDy5YtAdTRdoAzTaShCPzXX39FWVkZXFxc4OXlJVFwRE0bZ5qIjIStrS2Ki4trb3DJpIk0FIGHhYXh3LlzuHbtGmRsS0GkF0yaiIyEnZ0dbt68WXPSpLwZgXfPkbIIXC5XKwKXyWSQy+WQP7SkChHpFi/P1YEtB8hQbGxsAAD37t2r/ia7gpPSuXOK50eKwImaO0O0HGDSVIeEhASkpaUhOjpa6lCoiVPWNN2/f7/6m8oGl3fuABUVhguKjE8NReAHDx7Ec889h++++06ioIikFx0djbS0NCQkJOjtHEyaiIxErTNN7dsD5uaKIuD8fANHRkZDCODSJcXXDyVN+/btQ2xsLOLj4yUKjKh5YNJEZCTmzZuHL774AiEhIdXfNDNTJE4A8Oefhg2MjEd2do1F4P/73/8AAIMHD5YqMqJmgYXgREZi9OjRte/g4gLk5DBpas6U9UwPFYFfu3YNFy9ehJmZmV5rOYiIM01EpkNZ18QGl81XDUXgylmm3r17ozUXcybSK840ERmJS5cu4erVq+jUqRO6detWfQd2BacaisB//PFHAMCQIUOkiIioWeFME5GRiImJQVRUFL766quad1D2amKDy+bp4SLwB53AhRCqmSYmTUT6x6SJyEjUevcc8FdXcNY0NU81FIHn5+fD3d0ddnZ26Nevn8QBEjV9TJrqwOaWZCi19mkC2BW8uXu4E7ilJQCgbdu2OH78OHJzc2FlZSVhcETSM0RzS9Y01SEhIQFuyl9WRHqknGnSmDQpC8HZp6l5OntW8dyrV7W3bG1tDRwMkfGJjo5GdHQ0srKy4K6cmdcxzjQRGYk6L88pC8GLiwFNiRU1Xcoi8L59AQAVFRUoLCyUMCCi5odJE5GRqPPynL098GAf1jU1M0IAly8rvn5QBP7rr7/C0dERY8aMkS4uomaGSRORkahzpkkmAzp0UHzNpKl5yc4GiorUisB//PFHVFRUsJaJyIBY00RkJIKDg/HRRx+hU6dOmndycQGuXmXbgeamhiJw9mciMjwmTURGomvXrujatWvtOynrmpg0NS+PFIEXFRXhl19+AcCkiciQeHmOyJQo76DLzZU2DjKsRzqBJyYmoqKiAl5eXvDy8pIwMKLmhTNNREbi3r17OHXqFCorKxEWFlbzTmxw2fzUUAR+/PhxAMDAgQOlioqoWWLSRGQkMjIyMGDAADg5OSFPUwNLJk3Nz8NF4H5+AIDk5GQAQEhIiJSRETU7TJqIjESdd88Bf9U0scFl86G8NNetm6oIfPTo0bC1tUX//v0lDIyo+WHSRGQkHu7TJISATCarvtPDXcGFULQhoKZNWQT+0KzStGnTMG3aNIkCImq+WAhOZCSUM00AUFJSUvNOLi6K5/Jy4O5dA0RFknukCJyIpMOkqQ5csJcM5eGkSWNXcCsrwNFR8TXrmpo+IYBLlxRfPygCP3fuHC5duoSqqioJAyMyPoZYsJdJUx0SEhKQlpaG6OhoqUOhJs7CwgItWiiumNda16ScbWLS1PRdv16tCPwf//gHfH198cknn0gcHJFxiY6ORlpaGhISEvR2DiZNREakzvXngL+Sphs3DBARSaqGInDlnXM9e/aUKiqiZouF4ERGZMmSJRBCwFF5Ca4m7ArefKSmKp6DgwEAN27cQHZ2NmQyGZMmIgkwaSIyIq+99lrdOymTJs40NX2PFIErZ5l8fX1hZ2cnVVREzRYvzxGZGja4bB5qKAJXJk3BD2aeiMiwmDQRGZHLly/jl19+QX5tzSvd3BTPTJqaNmURuIVFtU7gTJqIpMGkiciITJ06Ff369UN8fLzmndgVvHlQXprr3l3RagJMmoikxpomIiOi7NVU691zyq7gd+4AFRVAC/41bpKUncAfJEhCCHz88cdITk5mETiRRPivLZERUbYcqLVPU7t2ikSpokIx2+TsbKDoyKAeKQKXyWQYO3Ysxo4dK2FQRM0bL88RGRGtZprMzID27RVfs66paaqhCJyIpMekiciIKJOmWmeaAHYFb+pycoDCQrUi8J07d+LAgQMoKCiQODii5otJE5ER0aojOPBX0pSbq+eISBI1FIHPnz8fI0aMwMmTJyUMjKh5Y9JEZES0nmlSth1gV/CmSdkJvFcvAEBeXh4yMzMBcPkUIimxEJzIiAwdOhS2trYIDQ2tfUcmTU2bhk7gPj4+aNWqlVRRETV7TJqIjMjQoUMxdOjQunf08lI8X7+u34DI8NgJnMho8fIckSny8VE8M2lqeh4uAvf3B8CkichYNLukaezYsWjTpg2efvppqUMhqqagoABnz57F5cuXa9/R21vxnJ8P1FU0Tqbl3DnFMzuBExmdZpc0zZ49G1u2bJE6DKIaff/99/D398fMmTNr37FNG0BZ25Kdrf/AyHB++03x3K8fAODatWv4448/YG5uzqSJSGLNLmmKiIiAvb291GEQ1UirjuBKyrqmrCw9RkQGp2wpMGQIAMDNzQ1paWnYvn07HBwcJAyMiIwqaUpMTMSoUaPg6uoKmUyGPXv2VNtn/fr18PLygrW1NYKDg3H06FHDB0qkJ1p1BFdSXqL74w89RkQGdecOkJGh+PrxxwEolk/p3r07nn32WcnCIiIFo7p7rri4GIGBgZgyZQrGjRtX7f3Y2FjMmTMH69evR//+/fHZZ58hKioKaWlp8PDwAKC45l9aWlrt2EOHDsFVudBpPRQWFqp14LWysoLVgzoDIl2r10yTshicSVPT8aB2Cd26KdYYJKI6lZaWqv3eLyws1Nu5jCppioqKQlRUlMb3V69ejalTp+Lll18GAHz00Uc4ePAgNmzYgBUrVgD4q2BSV+Ryudrrt99+G0uWLNHpOYiU6jXTpEyarl3TY0RkUMePK57DwgAAGRkZeOONNxAZGYmpU6dKGBiR8VqxYgXeeecdg5zLqC7P1aasrAzJycmIjIxU2x4ZGYmkpCS9nTctLQ13795VPRYtWqS3cxHVa6apa1fFM9sONB2P1DMdPnwYO3bswJdffilhUETGbdGiRWq/p9PS0vR2LqOaaapNXl4eKisr4ezsrLbd2dkZufVYf2vYsGE4efIkiouL4ebmht27d6N3LauI29vbs/iSDKZBNU1//gmUlQGWlnqMjPTuzh0gPV3x9YN6psOHDwNQ3MBCRDV7tGxGn4tam0zSpCSTydReCyGqbavNwYMHdR0Skc44OTlh3rx5sLW1rXvn9u2Bli2Be/cUs02dOuk9PtIj5SyTry/Qvj2EEIiPjwfApInIWJjM5bm2bdvC3Ny82qzSzZs3q80+6VJ4eDjkcjliYmL0dg4ipVatWuHDDz/U7vq8TMa2A03JI/VMly9fxvXr12FpaVn3WoREhJiYGMjlcoSHh+vtHCaTNFlaWiI4OBhxcXFq2+Pi4vT6D0pCQgLS0tIQHR2tt3MQNVjnzopn3kFn+h6pZ1LOMvXr10912ZaINIuOjkZaWhoSEhL0dg6jujxXVFSEK1euqF6np6cjJSUFjo6O8PDwwNy5czFx4kSEhISgX79+2LhxIzIzMzFjxgwJoybSrT/++AP37t1Dly5dYFlXnZKyGDwzU/+Bkf7cvftXPdOD/yXz0hyR8TGqpOnEiRNq/0DMnTsXADBp0iRs3rwZ48ePR35+PpYuXYqcnBz4+fnhwIED8PT01FtM4eHhsLS0RHR0NGebyCB69OiB4uJiXL58Gd7KYm9NlG0HeHnOtJ08CQih+PNs3x6A4j+RZmZmTJqItBQTE4OYmBiUlZXp7RwyIYTQ26ebsKysLLi7u+PatWtwc3OTOhxqRpycnHDr1i2cO3euWp+wauLjgUGDgI4dgb17DRMg6d4HHwA7dwIvvwx8/rlq8927d9GyZUtYWFhIGByRadHn72+jmmkiIqhundXqf0vKmagbN4CKCqAF/0qbpEfqmZRaKRdlJiKjYDKF4ETNhbKOSaukqWNHRX+migpF4kSm5+5d4OpVxdcP6pnKy8uli4eINGLSRGRklDNNNa2hWI2ZGaCs6WNdk2k6dUpRz+TtDTg7o6qqCh4eHggNDUUW/0yJjAqTpjqwTxMZWr1mmgCgSxfFM++gM02//aZ4ftAFPDU1Fbm5uThz5oxee9ARNTWG6NPEAog6JCQksBCcDKrBSRN7NZkm5SLjj/RnGjBgAAvAiepBeZe7shBcH5g0ERmZ559/HmFhYfDw8NDuAF9fxfO1a/oLivSjoAD4/XfF1w/+d/z9998DAIYOHSpRUESkCZMmIiMzf/78+h2gbHCZna37YEi/lP2ZunQBOnRAfn4+jhw5AgAYO3asxMER0aNY00Rk6pRtB65fB6qqpI2F6ueReqbvv/8elZWVCAwMRGflEjlEZDSYNNWBheBkaHfv3kVWVhYKCwu1O8DDAzA3B8rKgLw8/QZHuvVIPdN3330HAHjqqaekiojIZHHBXiPABXvJ0F566SW4u7tj69at2h1gYQEoix55i7rpKCysVs/0/PPPY/To0UyaiBrAEAv2MmkiMjL1vnsOAJSXcth2wHQo+zN17gy4uABQJE179+6Fn5+fxMERUU2YNBEZmXoto6LEtgOm5/hxxfODeiYiMn5MmoiMjHKmSauO4ErKO+jYdsB0KOuZBg9GaWkp1qxZg6vK5VSIyCgxaSIyMg26PKfs1cSaJtNQVPRXPVNEBA4fPoy5c+di4MCBEEJIGxsRacSkqQ68e44MrVGX565fV9TJkHFLSVG0h+jcGXB1Vd019+STT0Imk0kbG5GJ4jIqRoDLqJChNejyXOfOgEwG3LsH3LkDtGmjn+BIN379VfEcFobKykrs3bsXAFsNEDWGIZZR4UwTkZHp06cPpk2bhscee0z7g6ytVXdg8RKdCVDWMw0ahKSkJPz5559o06YNHmdROJFR40wTkZEZO3Zsw5bQ6NxZcXkuMxPw99d9YKQbRUXAlSuKryMi8N2qVQCAkSNHcoFeIiPHmSaipoJtB0yDsp6pUyeIjh2xe/duALw0R2QKONNEZGTKy8tRXFwMmUyGVq1aaX8g2w6Yhof6M2VkZCAnJwc2NjaIjIyUNi4iqhNnmoiMzJdffok2bdpgypQp9TuQbQdMw0P1TF5eXsjPz8fhw4fRsmVLaeMiojoxaaoDWw6QoTXo7jngr8tz2dk6joh0pqgIuHxZ8XVEBADAzs6ufkX/RFQjthwwAmw5QIbWoOaWwF9JU0GB4peznZ2OI6NGO336r3omNzewIxOR7rDlAFEz1OCkyd4eaNdO8TUv0Rmnh/ozbdmyBT179sTGjRuljYmItMakicjINKgjuFKnTornzEzdBUS681A90/79+5GSkoJsXk4lMhlMmoiMTINnmgDA21vxzLYDxqe4WFXPVNa/Pw4ePAhA0Z+JiEwDkyYiI9PgQnAA8PFRPLPtgPFR1jN5euLoH3+gsLAQzs7OCA4OljoyItISC8GJjIyLiwuef/75hhUyKtsOMGkyPsp6poEDsX//fgDA8OHDYWbG/7sSmQomTURGpnv37ti+fXvDDlZenrt+XXcBkW4o65kGD8b+5csB8NIckanhf3GImhJl0pSfD5SUSBsL/aW4GLh0CQBwydMTV65cgYWFBYYOHSpxYERUH0ya6sDmliQFIQQyMjJQWFhYvwMdHQHl0itsO2A8Dh9W1DN5eaHKxQUTJkzAU089BXt7e6kjI2oyDNHckklTHRISEpCWlobo6GipQ6FmZPDgwfDy8sKhQ4fqf7Cy7QCTJuPxYFFeTJqEbt26YevWrfjmm2+kjYmoiYmOjkZaWhoSEhL0dg4mTURGyPvBZbZkZR1M/Q5WPLPtgHHIzATOnAHMzICpU6WOhogagUkTkREKCQkBAJw4caL+ByvbDrDBpXFQzjINGoS0ggKcOXMGQghpYyKiBmHSRGSElL17Tpw4Uf9fsF27Kp7ZdkB6FRXAf/6j+PqVV7BixQoEBgZi6dKl0sZFRA3CpInICPn5+cHS0hK3b99GRkZG/Q5WzjRxeQ7pJSUBt24BTk6oHDECBw4cAABERERIHBgRNQSTJiIjZGVlBX9/fwANuESnrGn680+gvFzHkVG9fPed4nnCBPxy8iRu3bqF1q1bIzQ0VNq4iKhBmDQRGakG1zU5OwMtWypucWeTS+nk5wM//6z4+pVXsGXLFgBAVFQUWrRgX2EiU8S/uURG6sknn0SrVq0wfPjw+h0okynaDqSlKeqaPD31Eh/V4fvvgcpKIDgYOW3aYPPmzQCAV199Vdq4iKjBmDQRGamoqChERUU17ODOnRVJE++gk4YQwJ49iq+nT8fatWtRVlaGfv36YcCAAZKGRkQNx8tzRE0R2w5I6/RpRXPRli0hnnsOhw8fBgAsXLgQMplM4uCIqKGYNBEZsdu3b+PHH39EWlpa/Q5k2wFp7dqleH7qKcgcHPDzzz9j//79XKCXyMQxaSIyYm+++SaGDh2KTZs21e9AZdLEpVQMr7gYiI9XfD1jBgDA3NwcI0aMgJkZ/8klMmX8G1wHLthLUmrwHXTKtgM3biiKkclwDh4ESkqALl1wwdERJSUlUkdE1CwYYsFemWA//xplZWXB3d0d165dg5ubm9ThUDN15swZBAYGwsHBAbdv39Z+pqKqCrCxAcrKgH37AFdX/QZKf5k4ETh/HpXLl6P75s0oKCjA999/j969e0sdGVGzoM/f35xpIjJicrkc1tbWKCgowJUrV7Q/0MwM8PBQfM26JsO5ehU4fx4wN8fu9u1x+fJllJWVoXv37lJHRkQ6wKSJyIi1aNECQUFBAIDk5OT6Hdyli+KZd9AZzoMCcBEZiQ8++wwAMGvWLNjZ2UkZFRHpCJMmIiPX6LomJk2GUV4O/PADAOBwv344ceIEbGxs8Le//U3iwIhIV5g0ERm5BidN7NVkWImJQEEB0L49PkhMBABMnToV7dq1kzgwItIVdgQnMnKDBg3CZ599hr59+9bvQF9fxXN2tu6DouoeXJo7OWwY4r76Cubm5pg3b57EQRGRLjFpIjJy7u7umD59ev0PVF6eu35dsawHO1Hrz40bwIOZwDhnZwDAc889h06dOkkYFBHpGpMmoqbK0xMwN1e0HcjLA3iZSH/27lW0eejXD2/885+ImjgRtra2UkdFRDrGpInIBGRkZODgwYNo3bo1xo8fr91BFhaAmxvwxx+KtgNMmvSjqkrRCwsAHswIBgQESBgQEekLC8GJTMDRo0cxY8YMfPLJJ/U7sHNnxTN7NelPcjKQm4t8OztkDxggdTREpEdMmohMgPIOupMnT6KyPsuiKOuaMjJ0HxQpPCgAX9W5M7zkcqxcuVLigIhIX5g0EZmArl27ws7ODvfu3cOFCxe0P1DZdoAzTfpRWAgkJqIAwPqrV1FeXo6uysWSiajJYdJEZALMzc3Rs2dPAPXsDK5sO5CVpYeoCP/5D1BWhs/bt8fdoiJ069YNo0ePljoqItITJk1EJqJBTS6Vl+dychRtB0h3qqqA3btRBmBNaSkA4PXXX9d+UWUiMjn8201kIoKDgwHUM2ny8lI8FxcDd+/qIapm7Ouvgd9/x9cWFsi+excuLi6YMGGC1FERkR4xaSIyEcqZppSUFO2LwW1sABcXxdesa9Kd9HQgJgZVAFY6OQEA5syZAysrK2njIiK9alZJ07Vr1xAeHg65XI6AgADs3LlT6pCItObj44P4+HhkZWXB3Nxc+wPZdkC3KiqAN98EyspwoW9fZBQUwMHBAa+88orUkRGRnjWr5pYtWrTARx99hKCgINy8eRO9evXC8OHD2bmXTIKZmRnCw8Prf6CPD3DsGHDpEjB8uM7janY2blSMZatWkO/ahUxra6SkpKBVq1ZSR0ZEetasZppcXFwQFBQEAGjfvj0cHR1x69YtaYMi0jdlw8WTJ6WNoyk4exbYvFnx9fr1QMeOcHJywuDBgyUNi4gMw6iSpsTERIwaNQqurq6QyWTYs2dPtX3Wr18PLy8vWFtbIzg4GEePHm3QuU6cOIGqqiq4u7s3Mmoiw7l48SLmzZuH//u//9P+IOUv9IsXgXv39BNYc1BSorgsV1UFPP00LvTqJXVERGRgRpU0FRcXIzAwUONSEbGxsZgzZw7efPNNnDp1CgMHDkRUVBQyMzNV+wQHB8PPz6/a4/r166p98vPz8eKLL2Ljxo11xlRYWIiCggLVo/TBrcVEUvjzzz+xevVq/Pvf/9b+oE6dAHd3oLISSEnRV2hN35o1QHY24OyMC/PmQS6XY+DAgfw3gUhipaWlar+nCwsL9XYuo6ppioqKQlRUlMb3V69ejalTp+Lll18GAHz00Uc4ePAgNmzYgBUrVgCou/FfaWkpxo4di0WLFiE0NLTOmORyudrrt99+G0uWLKnzOCJ98Pf3BwBkZWXh1q1bcHR01O7Axx8Htm4FfvkF0OLnnh7xyy+q5VLw73/jwy++gBACTk5OvGOOSGIrVqzAO++8Y5BzGdVMU23KysqQnJyMyMhIte2RkZFISkrS6jOEEJg8eTIGDRqEiRMnanVMWloa7t69q3osWrSo3rET6UqrVq3QqVMnAMCZM2e0P3DIEMVzfbqJk0JBAfD224qvp0/HdX9/fPXVVwCABQsWSBgYEQHAokWL1H5Pp6Wl6e1cJpM05eXlobKyEs7OzmrbnZ2dkZubq9VnHDt2DLGxsdizZw+CgoIQFBSE1NTUWo+xt7eHg4OD6sH/VZLUAgMDAdQzaVLWNV2+DBQV6SGqJuy994D8fEXrhtWrsXbtWpSVlaF///5azVYTkX5ZWVmp/Z62t7fX27mM6vKcNmQymdprIUS1bZoMGDAAVVVV+giLyGACAwOxd+9enD59WvuD3NwU3cHT0xV30YWF6S/ApuTgQeDHHwEzM2DbNtytqMCnn34KgLNMRM2Rycw0tW3bFubm5tVmlW7evFlt9kmXlM0wY2Ji9HYOovoICAgAUM+ZJkBR1wQAv/6q44iaqD//BB7USmLBAoi+ffHaa6+hoKAA3bt3x8iRI6WNj4jUxMTEQC6XN6yfnZZMJmmytLREcHAw4uLi1LbHxcXpdYo8ISEBaWlpiI6O1ts5iOpDeXkuNzcXoj6L8A4dqnhmXVPdhFDUMRUVAQEBwNKluHfvHi5cuAAzMzN88sknXJiXyMhER0cjLS0NCQkJejuHUV2eKyoqwpUrV1Sv09PTkZKSAkdHR3h4eGDu3LmYOHEiQkJC0K9fP2zcuBGZmZmYMWOGhFETGVbnzp2RlZWl6memtYgIxfPvvysW72UHa8127gSOHwcsLRUL81pYwNbCAgkJCUhMTMSgQYOkjpCIJGBUSdOJEycQofyHHcDcuXMBAJMmTcLmzZsxfvx45OfnY+nSpcjJyYGfnx8OHDgAT09PvcUUHh4OS0tLREdHc7aJjIKZmRk6duxY/wNdXABvb+DKFUVd00N/1+ghmZnA2rWKr997D+U+PrB48JalpSWGKO9EJCKjEhMTg5iYGJSVlentHDJRr/n95iMrKwvu7u64du0a3NzcpA6HSDemTQO++AJ4+mlg4UKpozE+v/wCLFsG3LgBDByIih9/xLCoKPTq1QsrVqxAixZG9f9MIqqBPn9/86I8kQk6fvw4xowZg+nTp9fvQGVd04kTug/KlN25o1giZdYsRcLk5gZs3Yo333oLhw8fxoYNG5CRkSF1lEQkMSZNRCaorKwMe/fuxQ8//FC/A5WX5DIygNu3dR6XyRECOHAAGDdO0V5AJgNmzgTS0rDrt9+wcuVKAMCmTZvg7e0tcbBEJDUmTUQm6NHlVLTWrh3QrZvi6+Z+F11OjmJmafFiRWF8t27AsWNATAwuZGdj8uTJAIB58+bhmWeekTZWIjIKTJrqwD5NZIwavJwK8Nds0y+/6DYoU1FZCWzbBjzzjKJnlYUFsGQJcPo0bvn64tVXX0VISAiKiooQHh6O999/X+qIiUgL7NNkBNiniYxVg5tcKuuaTp7UcUQm4MoVYNIkYM0aoKREsXhxaqqiJ5OlJVq2bIlvv/0WxcXF6NmzJ7755hsWfxOZCEP0aWLSRGSilE0u67WcCgCEhytqdzIzgbw83QdmjEpKgHXrgAkTgAsXAHt7/LFsGZZGRiL8lVdUyytZW1vj448/xuHDh5GcnKzX1QaIyPTwv1BEJqrBM01t2gB+fooZluRkYNgwPURnJAoLgW++Ab75BuLuXZwFsMfXF7stLHDqrbdUu8XFxWHYg3F4/vnnJQqWiIwdkyYiExUYGIiWLVvCzs6uXgtXA1DMNqWmKuqammLS9OefwFdfAbt3A/fv4z8A/t6iBX6vqAAuXgSgaBI6cOBATJ8+Xa81EETUdDBpqgM7gpOx8vb2RkFBAczNzet/8NChistVTayuqfjSJfy6bh1++vVX9K+qwmAA6NYNTs8+i9+XLoWVlRUiIyMxZswYjBo1Cu3atZM6ZCLSEXYElxA7glOTdvcu4OgIVFUp+hS1by91RA3y5+3bOHb6NI7+73/46aefcLKwEBUP3pvevj0++9e/gBEjUCUE9u7di6FDh8LOzk7SmIlIv/T5+5szTURNQL0vz7VqBQQEACkpwG+/ASNG6C02fcm7cwftlXcCPsTN2hoDBwzA4GnTgJEjAQBmMhnGjh1r6BCJqInh3XNEJuyHH35Ajx49GtZ8cdAgxfOvv+o2KD25kJGBr/7zH8WLykq0/fRTdAXQA8AMmQxb+/ZFxn//i2v372N7XByeffZZKcMloiaIM01EJszKygppaWkoLS2t/8FDhwKrV5tEXdOpCxcw7G9/Q96dO7C3tMSYQ4eA+HicBmA9bRrwj38AD5p9EhHpC2ea6sCO4GTMevToAQC4evUq7t+/X7+DBwwAWrQAcnMVS4oYqWMpKYiYMQN/3r6NXj4+GLB9OxAfD1hYwHrbNmDjRiZMRGSQjuAsBNeAheBkCoQQaNu2LW7duoVTp04hKCiofh/Quzdw4oRi/bXRo/USY2PE/fILxsyfj3slJRjo54fvi4vRKj0dsLUFvvsOiIyUOkQiMjL6/P3NmSYiEyaTySCXywEA586dq/8HKOuajHAduj0JCRj52mu4V1KCJ3r1wn/z8hQJk5MTkJDAhImIDI5JE5GJU16iS0tLq//BD69DZ0STzqlXruDpN95AWXk5nu7TB3t//x0tc3MBDw/g55+BkBCpQySiZoiF4EQmTjnT1KCkKTQUsLBQrEGXlQW4u+s4uobx69IFr73wAvIuX8bnKSloUVIC9OgB/Pgj0KGD1OERUTPVqKTJyckJXbt2hZ+fn9qDi1wSGU5gYCD8/f3RpUuX+h/csiUQHKy4PHf8uORJk7LflEwmw0pfX4jt22FWWakoWt+/X9FfiohIIo1KmnJzc3Hu3DmkpKRgzpw56NOnD9LS0lBWVoYePXogPj5eV3ESkQaPP/54/RftfdigQX8lTePG6S6wevpy717s/N//8N3KlbDZsweyVasgEwJ48knForvW1pLFRkQE6PDuOS8vL6SnpwMACgsLcf78efTp00cXHy0J3j1HzUZCAhARAbRpAxw6BNSns7iOfLl3L15+910IIbDhsccwQ1mYPm0asGED0JD19YioWTKJu+ceXsLB3t7epBOmh7FPE5mKqqoq3Lt3r/4HPvYYYGkJ3L4N/PGH7gOrw7/27MHUZcsghMDffH3xijJhWrwY+OwzJkxEpBVD9GlqVNL09ttv47vvvsPvv/+uq3iMTkJCAtLS0hAdHS11KEQaLVu2DHZ2dlixYkX9D7a2BpT/yTl+XLeB1eGLPXvw8rvvAgBmy+VYe/EiZACwdi3wzjuSzHoRkWmKjo5GWloaEhIS9HaORiVNrVq1wv79+/H8888jPz8fffr0wZQpU/DPf/4T/1GuEUVEeufg4ID79+837A46QJJ16D7fvRvTHiRMfw8IwEdpaYqE6cMPgdmzDRYHEZG2GlUIPnfuXLXXV69exdmzZ3H27Fl8/fXXGGGCK6cTmaJGNbgEFP2ali4FUlIU/Zr0PMOTf+cOFnz8MQBgTq9eWH3ypCJhWrYMmDdPr+cmImqoRvdpKi0thZWVFQCgc+fO6Ny5M0Yb4XIMRE2ZMmm6cuWK2t9JrfXpA9jYAHfvAr//Dnh76yHKvzi1bo2D69Zh38aNWJaUpEiYFi4E/u//9HpeIqLGaNTluTlz5qBNmzYIDg7G1atXMXv2bDz33HP44osvdBUfEWnB1dUVrVq1QmVlJS5dulT/D7C0BPr2VXytx7qm/Dt3VF/3ycjAuz//rEiY/v534L339HZeIiJdaFTS9P333yMvLw9r165F//790a5dOzz77LM4dOgQ3n77bV3FSER1eHgNugbXNQ0erHjWU9K0fudO+Dz1FE6kpSlaGyxdqrgUOH06sGYNi76JyOg1uhC8ZcuWGDBgABwcHPDWW2/hqaeewvbt21kITmRgyjXoGlzXNGSI4vn0aaCqSkdRKcTs2IHoDz7A7YIC7PvqK+CttxTnmDhR0YeJCRMRmYBG1TT9+eef2L9/PwIDA2Fra/vXh7ZoAR31zCQiLYWFhSE/P18141RvwcGArS1QWAgcPQo8/rhO4orZsQOzVq4EAMwfPBjvHD4MVFYCzzwDbNoEmHHdcCIyDY3qCL569WrV3XKXLl2CXC6Hr68vfH198emnnyIjI0OHoRqWsqNoly5dYGlpiejoaPZqoqbv+ecVS5aYmQGzZilmgho4C1RZWYkVmzbhrU8/BQC8PnQoPkhIgKy8HBg1Cti1S7FYMBGRDsTExCAmJgZlZWX4/fff9dIRXGfLqADqLQfOnTuHbdu26eqjDY7LqFCzdO8e8PLLwNdfK14PGgQsWaJY2LceCoqK8MTs2fj5wZp4C6Ki8P7hw5CVliraG3z/PVDfO/yIiLSgz9/fjbo8Fx8fj3feeQeVlZUYMWIE5s+fz5YDRBISQiA7OxutWrWCvb19/T+gZUtg2zbF0irz5gGHDytaEKxeDXh6av0x9ra2cHZ0hH3LllgbFITJ//sfZGVlQFgYsHcvEyYiMkmNKiZ49dVX8be//Q3//Oc/ceHCBSxdulRXcRFRAwwZMgTu7u7Yv39/wz9EJlN05I6PB9q3V6xHN3Gi4nUtMnNzcevuXcVHlJbiMy8vpAKYkpSkSJgefxw4cEDRD4qIyAQ1KmmysbHBuHHj8Nhjj+Ff//oXDh06pKu4iKgBgoKCAAAffPABKioqGvdhAwYo7qTr109x2e7114GPP1YUcT9ECIHN338P//HjMeuDD4CdO4Enn0T7TZvgee8e0LWron4pPl5RaE5EZKK0TpreeOMNlJSUqG37888/sXPnTqSmpqKiogJlZWU6D5CItLdw4UK0adMGp0+fxvr16xv/gR06AEeOAMqbILZsURSIP2hSmZuXhzHz5mHKO++goLgYGfHxKP7gAyA/H3BzA778EkhLA556im0FiMjkaV0IbmlpiWvXrsHZ2RmTJk3C+vXr8emnn+LcuXM4e/YsLl68iNLSUowePRqBgYEICAjAqFGj9B2/3rAQnEzVZ599hhkzZsDBwQEXLlyAi4uLbj542zZFkXhJCdC+Pb4dPx4ztmxB/t27sASwFMB8AOZOTsCbbwIzZ7J2iYgMTp+/v7VOmry8vLBhwwY88cQTMDc3R05ODtq3b6+2z8N3z6WlpWHr1q06DdaQmDSRqaqsrES/fv3w22+/YcKECbr9e3jmDG6PHInoa9fw4P46BAHYAsDf3h6YO1dRQN6QInQiIh0wiqQpJiYGr732GkJCQvDrr7/iww8/RP/+/eHv7w+bJljYyaSJTNmJEyfQp08fCCEQHx+P8PBwnX327YwM+HXrhhulpfgHgP+zsIBldLRisV0nJ52dh4ioIYyi5UB0dDTCw8Oxd+9e/PLLL4iJicHrr78OmUwGb29vBAYGIigoCEFBQXjiiSd0GiQR1U9ISAhmzJiBI0eOwNrautGfl5eXBzs7O1hbW6NNp07Y/sMPaLl3L3oLoSgQ538siKgZaFBzS29vb/zyyy+wtbXFmTNnkJKSonqcPXsWhYWF+ojVoDjTRKauqKgIVlZWsGhE1+1r165h1apV+Pzzz7Fq1SrMmDFDhxESEemeUcw0PezKlSuqr/v27Yu+ffuqXnPNOSLjYGdn1+BjL1y4gA8++ABbt25VtS748ccfmTQRUbOm85UyZbytmMiolJWV4f3338fkyZPr3PfEiRMYN24c5HI5Nm/ejIqKCkRERODQoUPYuXOn/oMlIjJiOl17rinhgr3UVJw9exZBQUGorKyEv78/zMzU/6/0r3/9C8HBwQCAkSNH4j//+Q8AYMyYMVi4cKHaTDIRkbEyuQV7mxLWNFFTMn/+fKxatarG944cOYKwsDAAQFJSEj777DO88cYbkMvlhgyRiEgnjK6miYhMywcffIAnn3yyWld/APD391d9HRoaitDQUEOGRkRkMpg0ETUD5ubmGDhwoNRhEBGZNJ0XghMRERE1RUyaiIiIiLTApImIiIhIC0yaiIiIiLTApImIiIhIC0yaiIiIiLTApImIiIhIC0yaiIiIiLTApImIiIhIC0yaiIiIiLTApImIiIhIC0yaiIiIiLTQrJKmwsJC9O7dG0FBQfD398fnn38udUhERERkIlpIHYAhtWzZEkeOHEHLli1x7949+Pn54amnnoKTk5PUoREREZGRa1YzTebm5mjZsiUAoKSkBJWVlRBCSBwVERERmQKjSpoSExMxatQouLq6QiaTYc+ePdX2Wb9+Pby8vGBtbY3g4GAcPXq0Xue4c+cOAgMD4ebmhgULFqBt27Y6ip6IiIiaMqNKmoqLixEYGIhPPvmkxvdjY2MxZ84cvPnmmzh16hQGDhyIqKgoZGZmqvYJDg6Gn59ftcf169cBAK1bt8bp06eRnp6O7du348aNGwb53oiIiMi0yYSRXp+SyWTYvXs3xowZo9rWt29f9OrVCxs2bFBt6969O8aMGYMVK1bU+xyvvvoqBg0ahGeeeabae1lZWXB3d0daWho6duyo2m5lZQUrK6t6n4uIiIh0r7S0FKWlparX2dnZkMvluHbtGtzc3HR6LqOaaapNWVkZkpOTERkZqbY9MjISSUlJWn3GjRs3UFBQAAAoKChAYmIifH19az1GLpejVatWqkdDkjMiIiLSjxUrVqj9npbL5Xo7l8ncPZeXl4fKyko4OzurbXd2dkZubq5Wn5GVlYWpU6dCCAEhBGbNmoWAgIBaj6lppomIiIiMw6JFizB37lzVa+VMkz6YTNKkJJPJ1F4LIapt0yQ4OBgpKSn1Op+9vT0cHBzqdQwREREZxqNlM8orSvpgMpfn2rZtC3Nz82qzSjdv3qw2+0RERESkayaTNFlaWiI4OBhxcXFq2+Pi4hAaGqq384aHh0MulyMmJkZv5yAiIqLGiYmJgVwuR3h4uN7OYVSX54qKinDlyhXV6/T0dKSkpMDR0REeHh6YO3cuJk6ciJCQEPTr1w8bN25EZmYmZsyYobeYEhISdF59T0RERLoVHR2N6Oho1d3v+mBUSdOJEycQERGheq0s7Jo0aRI2b96M8ePHIz8/H0uXLkVOTg78/Pxw4MABeHp6ShUyERERNRNG26dJaspMtUuXLrC0tFRlsERERGR8YmJiEBMTg7KyMvz+++966dPEpEkDZdKkj0EnIiIi/dDn72+TKQQnIiIikhKTJiIiIiItMGkiIiIi0gKTpjqwTxMREZHxM0SfJhaCa8BCcCIiItPDQnAiIiIiiTFpIiIiItICkyYiIiIiLTBpqgMLwYmIiIwfC8ElxEJwIiIi08NCcCIiIiKJMWkiIiIi0gKTJiIiIiItMGmqAwvBiYiIjB8LwSXEQnAiIiLTw0JwIiIiIokxaSIiIiLSApMmIiIiIi0waSIiIiLSApMmIiIiIi0waSIiIiLSApOmOrBPExERkfFjnyYJsU8TERGR6WGfJiIiIiKJMWkiIiIi0gKTJiIiIiItMGkiIiIi0gKTJiIiIiItMGkiIiIi0gKTJiIiIiItMGmqA5tbEhERGT82t5QQm1sSERGZHja3JCIiIpIYkyYiIiIiLTBpIiIiItICkyYiIiIiLTBpIiIiItICkyYiIiIiLTBpIiIiItICkyYiIiIiLTBpIiIiItICkyYiIiIiLTBpIiIiItICk6Y6cMFeIiIi48cFeyXEBXuJiIhMDxfsJSIiIpIYkyYiIiIiLTBpIiIiItICkyYiIiIiLTBpIiIiItICkyYiIiIiLTBpIiIiItICkyYiIiIiLTBpIiIiItICkyYiIiIiLTBpIiIiItICkyYiIiIiLTBpIiIiItICkyYiIiIiLTTLpOnevXvw9PTE/PnzpQ6FiIiITESzTJqWL1+Ovn37Sh0GERERmZBmlzRdvnwZFy5cwPDhw6UOhYiIiEyIUSVNiYmJGDVqFFxdXSGTybBnz55q+6xfvx5eXl6wtrZGcHAwjh49Wq9zzJ8/HytWrNBRxERERNRcGFXSVFxcjMDAQHzyySc1vh8bG4s5c+bgzTffxKlTpzBw4EBERUUhMzNTtU9wcDD8/PyqPa5fv469e/eia9eu6Nq1q6G+JSIiImoiZEIIIXUQNZHJZNi9ezfGjBmj2ta3b1/06tULGzZsUG3r3r07xowZo9Xs0aJFi7B161aYm5ujqKgI5eXlmDdvHhYvXlxt36ysLLi7uyMtLQ0dO3ZUbbeysoKVlVXjvjkiIiLSidLSUpSWlqpeZ2dnQy6X49q1a3Bzc9PpuYxqpqk2ZWVlSE5ORmRkpNr2yMhIJCUlafUZK1aswLVr15CRkYEPP/wQ06ZNqzFhephcLkerVq1UD17aIyIiMh4rVqxQ+z0tl8v1dq4WevtkHcvLy0NlZSWcnZ3Vtjs7OyM3N1dv561ppomIiIiMw6JFizB37lzVa+VMkz6YTNKkJJPJ1F4LIapt08bkyZO12s/e3h4ODg71/nwiIiLSv0fLZgoKCvR2LpO5PNe2bVuYm5tXm1W6efNmtdknXQoPD4dcLkdMTIzezkFERESNExMTA7lcjvDwcL2dw2SSJktLSwQHByMuLk5te1xcHEJDQ/V23oSEBKSlpSE6Olpv5yAiIqLGiY6ORlpaGhISEvR2DqO6PFdUVIQrV66oXqenpyMlJQWOjo7w8PDA3LlzMXHiRISEhKBfv37YuHEjMjMzMWPGDAmjJiIioubAqJKmEydOICIiQvVaWdg1adIkbN68GePHj0d+fj6WLl2KnJwc+Pn54cCBA/D09JQqZCIiImomjLZPk9SUfZq6dOkCS0tLREdH8xIdERGRkYqJiUFMTAzKysrw+++/66VPE5MmDZRJkz4GnYiIiPRDn7+/TaYQnIiIiEhKTJqIiIiItMCkiYiIiEgLTJrqwOaWRERExs8QzS1ZCK4BC8GJiIhMDwvBiYiIiCTGpImIiIhIC0ya6sCaJiIiIuPHmiYJsaaJiIjI9LCmiYiIiEhiTJqIiIiItMCkiYiIiEgLTJqIiIiItMCkqQ68e46IiMj48e45CfHuOSIiItPDu+eIiIiIJMakiYiIiEgLTJqIiIiItMCkiYiIiEgLTJqIiIiItMCkqQ5sOUBERGT82HJAQmw5QEREZHrYcoCIiIhIYkyaiIiIiLTApImIiIhIC0yaiIiIiLTApImIiIhIC0yaiIiIiLTApImIiIhIC0yaiIiIiLTApKkO7AhORERk/NgRXELsCE5ERGR62BGciIiISGJMmoiIiIi0wKSJiIiISAtMmoiIiIi0wKSJiIiISAtMmoiIiIi0wKSJiIiISAtMmoiIiIi0wKSJiIiISAtMmoiIiIi0wKSJiIiISAtMmurABXuJiIiMHxfslRAX7CUiIjI9XLCXiIiISGJMmoiIiIi0wKSJiIiISAtMmoiIiIi0wKSJiIiISAtMmoiIiIi0wKSJiIiISAtMmoiIiIi0wKSJiIiISAtMmoiIiIi0wKSJiIiISAtMmoiIiIi0wKSJiIiISAtMmoiIiIi00OySphYtWiAoKAhBQUF4+eWXpQ6HiIiITESzS5pat26NlJQUpKSk4IsvvpA6HKNVWlqKJUuWoLS0VOpQjA7HRjOOjWYcG804NjXjuGgm1djIhBDCoGeUWNu2bZGXl1fnfllZWXB3d8e1a9fg5uZmgMiMS0FBAVq1aoW7d+/CwcFB6nCMCsdGM46NZhwbzTg2NeO4aFbb2Ojz97dRzTQlJiZi1KhRcHV1hUwmw549e6rts379enh5ecHa2hrBwcE4evRovc5RUFCA4OBgDBgwAEeOHNFR5ERERNTUtZA6gIcVFxcjMDAQU6ZMwbhx46q9Hxsbizlz5mD9+vXo378/PvvsM0RFRSEtLQ0eHh4AgODg4Bqn6w4dOgRXV1dkZGTA1dUVZ8+exYgRI5CamsoMnoiIiOpkVElTVFQUoqKiNL6/evVqTJ06VVXA/dFHH+HgwYPYsGEDVqxYAQBITk6u9Ryurq4AAD8/P8jlcly6dAkhISHV9quqqgIAXL58GYWFhartVlZWsLS0rN83ZoKU33N2djYKCgokjsa4cGw049hoxrHRjGNTM46LZg+PTV5entpkSW5uLoC/fo/rlDBSAMTu3btVr0tLS4W5ubn47rvv1PabPXu2CAsL0+ozb926JUpKSoQQQly7dk14eHiI/Pz8Gvc9fvy4AMAHH3zwwQcffJjg4/jx4w1LQGphVDNNtcnLy0NlZSWcnZ3Vtjs7O6uyyrqcP38er7zyCszMzCCTybB27Vo4OjrWuG/Pnj3x008/oXXr1jAz+6v0q7nMNBEREZmCsrIytZmmqqoq3LlzBz179tT5uUwmaVKSyWRqr4UQ1bZpEhoaitTUVK32bdGiBfr371/v+IiIiKhpMqq752rTtm1bmJubV5tVunnzZrXZJyIiIiJdM5mkydLSEsHBwYiLi1PbHhcXh9DQUImiIiIioubCqC7PFRUV4cqVK6rX6enpSElJgaOjIzw8PDB37lxMnDgRISEh6NevHzZu3IjMzEzMmDFDwqiJiIioOTCqjuAJCQmIiIiotn3SpEnYvHkzAEVzy5UrVyInJwd+fn5Ys2YNwsLCDBwpERERNTdGdXkuPDwcQohqD2XCBAAzZ85ERkYGSktLkZyczITJQMaOHYs2bdrg6aefVtu+Zs0a9OjRA3K5HLNnz4YR5eAGce3aNYSHh0MulyMgIAA7d+5UvadpzJqL2sYGAO7duwdPT0/Mnz9fogilo2lsLl68qFpQPCgoCDY2NjWujNCUFRYWonfv3ggKCoK/vz8+//xz1Xv79++Hr68vfHx8muXaoZrGprYxay5qG4P09HRERERALpfD398fxcXFDT+RzpsYUJN0+PBhsW/fPjFu3DjVtps3b4rOnTuL+/fvi4qKChEaGiqSkpIkjNLwrl+/Lk6dOiWEEOLGjRuiY8eOoqioSAhR85g1J7WNjRBC/OMf/xDPPPOMmDdvnkQRSqeusRFCiMLCQuHk5FRte1NXUVEhiouLhRBCFBcXCy8vL5GXlyfKy8uFj4+PyMrKEgUFBcLb21tjn72mStPYaNrenNQ2BmFhYSIxMVEIIUR+fr4oLy9v8HmMaqaJjFdERATs7e2rba+oqEBJSQnKy8tRXl6O9u3bSxCddFxcXBAUFAQAaN++PRwdHXHr1i0AmsesuahtbC5fvowLFy5g+PDhEkYondrGRmnfvn0YPHgwbG1tJYhQOubm5mjZsiUAoKSkBJWVlRBC4Pjx4+jRowc6duwIe3t7DB8+HAcPHpQ4WsPSNDaatjcnmsbg3LlzsLCwwMCBAwEAjo6OaNGi4eXcTJqaAX0thNyuXTvMnz8fHh4ecHV1xZAhQ9ClSxc9fAf6o8uxOXHiBKqqquDu7q7nqA1Dn2Mzf/581dJHpsgQPzc7duzA+PHj9RG+XulibO7cuYPAwEC4ublhwYIFaNu2La5fv46OHTuq9nFzc0N2dra+vx2d0tfY1LbdVOhrbC5fvgw7OzuMHj0avXr1wnvvvdeoOJk0NQPKhZA/+eSTGt9XLoT85ptv4tSpUxg4cCCioqKQmZlZ6+fevn0b+/fvR0ZGBrKzs5GUlITExER9fAt6o6uxyc/Px4svvoiNGzcaImyD0NfY7N27F127dkXXrl31/j3oi75/bgoKCnDs2DGTnInTxdi0bt0ap0+fRnp6OrZv344bN27UOHOibWNjY6Gvsaltu6nQ19iUl5fj6NGjiImJwc8//4y4uLhqrYvqpVEXEcnkAOpr+gkhRJ8+fcSMGTPUtnXr1k0sXLhQbVt8fLxafc6OHTvEzJkzVa9XrlwpPvjgA90HbSANHZuSkhIxcOBAsWXLlmqf+eiYmSpdjs3ChQuFm5ub8PT0FE5OTsLBwUG88847eo1fn/Txc7NlyxYxYcIEvcRrSI3590ZpxowZYseOHeLYsWNizJgxqu2zZ88W27Zt03nMhqLLsdF2u6nQ5dgkJSWJYcOGqbavXLlSrFy5ssGxcaapmSsrK0NycjIiIyPVtkdGRiIpKanWY93d3ZGUlKS6fpyQkABfX199hmtQ2oyNEAKTJ0/GoEGDMHHiRCnClERjxmbFihW4du0aMjIy8OGHH2LatGlYvHixQePXJ1383Jjqpbm6aDM2N27cQEFBAQDFjFtiYiJ8fX3Rp08fnD17FtnZ2SgsLMSBAwcwbNgwg38P+tKYsdG0valozNj07t0bN27cwO3bt1FVVYXExER07969wbEYVXNLMjxtF0IeNmwYTp48ieLiYri5uWH37t147LHHMHz4cPTs2RNmZmYYPHgwRo8ebehvQW+0GZtjx44hNjYWAQEBqmvwX331Ffz9/Wscs969exv629CLxo5NU9bYsbl79y6OHz+OXbt2GTp0vdNmbLKysjB16lRVy5lZs2YhICAAALBq1SpERESgqqoKCxYsgJOTk8G/B31pzNgkJydrHLOmoLE/N++99x7CwsIghEBkZCRGjhzZ4FiYNBGAuhdC1nSXyvLly7F8+XK9xia12sZmwIABqKqqqvG45nBnT0PHRmny5Mn6Ck1yDR2bVq1amVw9Sn3VNjbBwcFISUmp8bjRo0c3qf+Y1aQhY1PbmDUlDf25iYqKQlRUlE5i4OW5Zo4LIWvGsdGMY6MZx0Yzjo1mHBvNjGlsmDQ1c1wIWTOOjWYcG804NppxbDTj2GhmTGPDy3PNABdC1oxjoxnHRjOOjWYcG804NpqZzNg0+L47Mhnx8fECQLXHpEmTVPvExMQIT09PYWlpKXr16iWOHDkiXcAGxLHRjGOjGcdGM46NZhwbzUxlbGRCNLNe60REREQNwJomIiIiIi0waSIiIiLSApMmIiIiIi0waSIiIiLSApMmIiIiIi0waSIiIiLSApMmIiIiIi0waSIiIiLSApMmIiIDKCsrg7e3N44dO6b1MampqXBzc0NxcbEeIyMibTFpIqJGmzx5MmQyGWQyGSwsLNC5c2fMnz9f9cs+IyND9b5MJoOlpSW8vb3x7rvv4uFFCZYsWYKgoKBqn688PiUlRWMM4eHhkMlkeP/996u9N3z4cMhkMixZsqSx32qDbdy4EZ6enujfv7/Wx/j7+6NPnz5Ys2aNHiMjIm0xaSIinXjiiSeQk5ODq1ev4t1338X69esxf/58tX1+/PFH5OTk4PLly3jnnXewfPlyfPnllzqLwd3dHZs2bVLbdv36dRw+fBguLi46O09DrFu3Di+//HK9j5syZQo2bNiAyspKPURFRPXBpImIdMLKygodOnSAu7s7XnjhBUyYMAF79uxR28fJyQkdOnSAp6cnJkyYgNDQUJw8eVJnMYwcORL5+flql8A2b96MyMhItG/fXm3frVu3IiQkBPb29ujQoQNeeOEF3Lx5U/X+7du3MWHCBLRr1w42Njbw8fFRJWRlZWWYNWsWXFxcYG1tjU6dOmHFihUa4zp58iSuXLmCESNGqG1PSkpCUFAQrK2tERISgj179lSbURs2bBjy8/Nx5MiRxgwNEekAkyYi0gsbGxuUl5drfP/EiRM4efIk+vbtq7NzWlpaYsKECWqzTZs3b8ZLL71Ubd+ysjIsW7YMp0+fxp49e5Ceno7Jkyer3n/rrbeQlpaGH374AefPn8eGDRvQtm1bAMDHH3+Mffv2YceOHbh48SK2bt2KTp06aYwrMTERXbt2hYODg2pbYWEhRo0aBX9/f5w8eRLLli3DG2+8UeP3FBgYiKNHjzZgRIhIl1pIHQARNT3Hjx/H9u3bMXjwYLXtoaGhMDMzQ1lZGcrLyzF9+nS8+OKLavukpqbCzs5ObdvDdU91mTp1KgYMGIC1a9ciOTkZd+/exYgRI6rVMz2cSHXu3Bkff/wx+vTpg6KiItjZ2SEzMxM9e/ZESEgIAKglRZmZmfDx8cGAAQMgk8ng6elZa0wZGRlwdXVV27Zt2zbIZDJ8/vnnsLa2hlwuR3Z2NqZNm1bt+I4dOyIjI0PrMSAi/WDSREQ6sX//ftjZ2aGiogLl5eV48sknsW7dOrV9YmNj0b17d5SXlyM1NRWzZ89GmzZt1Iq3fX19sW/fPrXjsrOzER4erlUcAQEB8PHxwbfffov4+HhMnDgRFhYW1fY7deoUlixZgpSUFNy6dQtVVVUAFAmRXC7Hq6++inHjxuHkyZOIjIzEmDFjEBoaCkBR+D506FD4+vriiSeewMiRIxEZGakxpvv378Pa2lpt28WLFxEQEKC2vU+fPjUeb2Njg3v37mn1/ROR/jBpIiKdiIiIwIYNG2BhYQFXV9caExV3d3d4e3sDALp3746rV6/irbfewpIlS1TJg/LOuoe1aFG/f6peeuklxMTEIC0tDcePH6/2fnFxMSIjIxEZGYmtW7eiXbt2yMzMxLBhw1BWVgYAiIqKwh9//IH//Oc/+PHHHzF48GBER0fjww8/RK9evZCeno4ffvgBP/74I5599lkMGTIE3377bY3xtG3bFqmpqWrbhBCQyWTVttXk1q1b6NKlS73GgIh0jzVNRKQTtra28Pb2hqenZ40JU03Mzc1RUVGhSlR05YUXXkBqair8/Pwgl8urvX/hwgXk5eXh/fffx8CBA9GtWze1InCldu3aYfLkydi6dSs++ugjbNy4UfWeg4MDxo8fj88//xyxsbHYtWsXbt26VWM8PXv2xIULF9SSom7duuHMmTMoLS1VbTtx4kSNx589exY9e/bU+vsnIv3gTBMRGUx+fj5yc3NRUVGB1NRUrF27FhEREWoF0rrQpk0b5OTkaEzePDw8YGlpiXXr1mHGjBk4e/Ysli1bprbP4sWLERwcjB49eqC0tBT79+9H9+7dAQBr1qyBi4sLgoKCYGZmhp07d6JDhw5o3bp1jeeLiIhAcXExzp07Bz8/PwCKxO7NN9/E9OnTsXDhQmRmZuLDDz8EALUZqIyMDGRnZ2PIkCGNHRYiaiTONBGRwQwZMgQuLi7o1KkTpk+fjuHDhyM2NlYv52rdujVsbW1rfK9du3bYvHkzdu7cCblcjvfff1+VsChZWlpi0aJFCAgIQFhYGMzNzfHNN98AAOzs7PDBBx8gJCQEvXv3RkZGBg4cOAAzs5r/SXVycsJTTz2Fbdu2qbY5ODjg+++/R0pKCoKCgvDmm29i8eLFAKBW5/T1118jMjKyzmJzItI/majPbSlERNQgqampGDJkCK5cuQJ7e/sa99m2bRumTJmCu3fvwsbGBqWlpfDx8cHXX39dr07iRKQfTJqIiAzk3//+N3r16gV/f38AwJYtW9C5c2d07NgRp0+fxqxZsxAeHo6tW7cCAC5duoT4+Hi88sorUoZNRA8waSIiksjKlSuxfv165ObmwsXFBWPGjMHy5cvRsmVLqUMjohowaSIiIiLSAgvBiYiIiLTApImIiIhIC0yaiIiIiLTApImIiIhIC0yaiIiIiLTApImIiIhIC0yaiIiIiLTApImIiIhIC0yaiIiIiLTw/wH5junu8orougAAAABJRU5ErkJggg==", + "image/png": 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", "text/plain": [ "
" ] @@ -278,6 +306,7 @@ } ], "source": [ + "#t_DURATION VERSION\n", "# Define conversion factor\n", "sol_to_gram = 1.989e33\n", "\n", diff --git a/nbs/00_pbh.ipynb b/nbs/00_pbh.ipynb index fadcf87..1708a49 100644 --- a/nbs/00_pbh.ipynb +++ b/nbs/00_pbh.ipynb @@ -31,7 +31,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 126, "metadata": {}, "outputs": [], "source": [ @@ -43,6 +43,7 @@ "\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", + "from math import erf\n", "from scipy.integrate import nquad, dblquad, tplquad\n", "from scipy.optimize import minimize_scalar, fsolve, brentq\n", "from scipy.integrate import quad\n", @@ -61,7 +62,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ @@ -71,7 +72,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 301, "metadata": {}, "outputs": [], "source": [ @@ -91,7 +92,8 @@ " u_t = 1,\n", " ds = 770,\n", " lognorm=False,\n", - " sigma=None\n", + " sigma=None,\n", + " ut_interp = None,\n", " ):\n", " \"\"\"\n", " Initialize the PBH population\n", @@ -112,7 +114,10 @@ " raise ValueError(\"f_dm must be between 0 and 1\")\n", " self.f_dm = f_dm\n", " # self.ut_interp = ut_interp\n", - " self.ut_interp = ut_func_new\n", + " if ut_interp is None:\n", + " self.ut_interp = ut_func_new\n", + " else:\n", + " self.ut_interp = ut_interp\n", " self.u_t = u_t\n", " self.ds = ds\n", " self.lognorm = lognorm\n", @@ -143,9 +148,9 @@ "\n", " if t_duration > tmax or t_duration < tmin:\n", " return 0 \n", - " # elif t_fwhm:\n", - " # t_E = t_e_from_fwhm(t, umin, finite, rho_func(self.mass, d, self.ds), ut)\n", - " # v_rad = einstein_rad(d, self.mass, self.ds) * kpctokm / (t_E * htosec)\n", + " elif t_fwhm:\n", + " t_E = t_e_from_fwhm(t, umin, finite, rho_func(self.mass, d, self.ds))\n", + " v_rad = einstein_rad(d, self.mass, self.ds) * kpctokm / (t_E * htosec)\n", " else:\n", " #Calculate radial velocity in terms of event duration (t_fwhm)\n", " v_rad = velocity_radial(d, self.mass, umin, t * htosec, ut) \n", @@ -159,11 +164,11 @@ " np.exp(-(v_rad**2 / v_disp**2)) *\n", " 1)\n", "\n", - " def differential_rate_integrand_mw(self, umin, d, t, finite=False):\n", - " return self.differential_rate_integrand(umin, d, t, self.mw_model, finite=finite)\n", + " def differential_rate_integrand_mw(self, umin, d, t, finite=False, t_fwhm=False):\n", + " return self.differential_rate_integrand(umin, d, t, self.mw_model, finite=finite, t_fwhm=t_fwhm)\n", " \n", - " def differential_rate_integrand_m31(self, umin, d, t, finite=False):\n", - " return self.differential_rate_integrand(umin, d, t, self.m31_model, finite=finite)\n", + " def differential_rate_integrand_m31(self, umin, d, t, finite=False, t_fwhm=False):\n", + " return self.differential_rate_integrand(umin, d, t, self.m31_model, finite=finite, t_fwhm=t_fwhm)\n", " \n", " def differential_rate(self, t, integrand_func, finite=False, epsabs=1.49e-08, epsrel=1.49e-08):\n", "\n", @@ -195,7 +200,9 @@ " # Second integral (over u) - bounds given by d\n", " def second_integral(d, t):\n", " if finite:\n", + " # u_min, u_max = 0, self.umin_upper_bound(d)[0]\n", " u_min, u_max = 0, self.umin_upper_bound(d)[0]\n", + "\n", " else:\n", " u_min, u_max = 0, self.u_t\n", " \n", @@ -209,7 +216,7 @@ " result, error = quad(second_integral, d_min, d_max, args=(t,), epsabs=epsabs, epsrel=epsrel)\n", " # return result * self.mass_function(mf) * mf * np.log(10) # multiply by mass function and by dlogm * m\n", " return result \n", - " \n", + " \n", " # Integrate over time\n", " result, error = quad(outer_integral, tcad, tobs, epsabs=epsabs, epsrel=epsrel)\n", " return result\n", @@ -225,20 +232,26 @@ " return d\n", " return self.ds\n", " \n", - " def rate_mw(self, finite=False, tcad = 0.07, tobs = 3, efficiency=None, epsabs = 1.49e-08, epsrel = 1.49e-08):\n", + " def rate_mw(self, finite=True, tcad = 0.07, tobs = 3, efficiency=None, epsabs = 1.49e-08, epsrel = 1.49e-08, t_fwhm=False):\n", " def integrand_func(umin, d, t):\n", - " return self.differential_rate_integrand_mw(umin, d, t, finite=finite,)\n", + " return self.differential_rate_integrand_mw(umin, d, t, finite=finite, t_fwhm=t_fwhm)\n", " return self.rate_total(integrand_func, finite=finite, tcad=tcad, tobs=tobs, efficiency=efficiency, epsabs=epsabs, epsrel=epsrel)\n", " \n", - " def rate_m31(self, finite=False):\n", - " result = self.rate_total(self.differential_rate_integrand_m31, finite=finite)\n", + " def rate_m31(self, finite=True, tcad = 0.07, tobs = 3, efficiency=None, epsabs = 1.49e-08, epsrel = 1.49e-08, t_fwhm=False):\n", + " def integrand_func(umin, d, t):\n", + " return self.differential_rate_integrand_m31(umin, d, t, finite=finite, t_fwhm=t_fwhm)\n", + " # result = self.rate_total(self.differential_rate_integrand_m31, finite=finite)\n", + " result = self.rate_total(integrand_func, finite=finite, tcad=tcad, tobs=tobs, efficiency=efficiency, epsabs=epsabs, epsrel=epsrel)\n", " if not np.isnan(result):\n", " return result\n", " else:\n", " return 0\n", " \n", - " def rate_tot(self, finite=False):\n", - " return self.rate_mw(finite=finite) + self.rate_m31(finite=finite)\n", + " def rate_tot(self, finite=True, tcad = 0.07, tobs = 3, efficiency=None, epsabs = 1.49e-08, epsrel = 1.49e-08, t_fwhm=False):\n", + " rate_mw = self.rate_mw(finite=finite, tcad=tcad, tobs=tobs, efficiency=efficiency, epsabs=epsabs, epsrel=epsrel, t_fwhm=t_fwhm)\n", + " rate_m31 = self.rate_m31(finite=finite, tcad=tcad, tobs=tobs, efficiency=efficiency, epsabs=epsabs, epsrel=epsrel, t_fwhm=t_fwhm)\n", + " return rate_mw + rate_m31\n", + " # return self.rate_mw(finite=finite) + self.rate_m31(finite=finite)\n", " \n", " def differential_rate_mw(self, t, finite=True, v_disp=None, t_e=False, tmax=np.inf, tmin=0, t_fwhm=False):\n", " def integrand_func(umin, d, t):\n", @@ -256,11 +269,11 @@ " rho = rho_func(m, d, self.ds)\n", " return self.ut_interp(rho, magnification(self.u_t))\n", " \n", - " def differential_rate_total(self, t, finite=True):\n", - " return self.differential_rate_mw(t, finite=finite) + self.differential_rate_m31(t, finite=finite)\n", + " def differential_rate_total(self, t, finite=True, t_fwhm=False):\n", + " return self.differential_rate_mw(t, finite=finite, t_fwhm=t_fwhm) + self.differential_rate_m31(t, finite=finite, t_fwhm=t_fwhm)\n", " \n", - " def compute_differential_rate(self, ts, finite=False):\n", - " return [self.differential_rate_total(t, finite=finite) for t in ts]\n", + " def compute_differential_rate(self, ts, finite=True, t_fwhm=False):\n", + " return [self.differential_rate_total(t, finite=finite, t_fwhm=t_fwhm) for t in ts]\n", " \n", " def sticking_point(self):\n", " #Determine where u_t is maximized. This speeds up the integral in m31\n", @@ -328,41 +341,87 @@ " def differential_rate_mw_lognorm(self, t, finite=True, v_disp=None, t_e=False, tmax=np.inf, tmin=0, epsabs = 1.49e-08, epsrel = 1.49e-08):\n", " def integrand_func(umin, d, mf, t):\n", " return self.differential_rate_integrand_lognorm(umin, d, t, mf, self.mw_model, finite=finite, v_disp=v_disp, t_e = t_e, tmax=tmax, tmin=tmin)\n", - " return self.differential_rate_lognorm(t, integrand_func, finite=finite, epsabs = epsabs, epsrel = epsrel)" + " return self.differential_rate_lognorm(t, integrand_func, finite=finite, epsabs = epsabs, epsrel = epsrel)\n", + "\n", + " \n", + " def differential_rate_integrand_new(self, umin, d, model, finite=False, v_disp=None, tcad = 0.07, tobs = 3, t_fwhm=False):\n", + "\n", + " #Analytically perform integral over t\n", + " r = model.dist_center(d, self.l, self.b)\n", + " ut = self.umin_upper_bound(d) if finite else self.u_t\n", + " if ut <= umin:\n", + " return 0\n", + " if v_disp is None: \n", + " v_disp = model.velocity_dispersion_dm(r)\n", + "\n", + " if t_fwhm:\n", + " ut = u_fwhm_interp([rho_func(self.mass, d, self.ds), umin])[0]\n", + "\n", + " A = 2/(ut**2 - umin**2)**0.5 * model.density_dm(d, self.l, self.b) / (self.mass * (v_disp*htosec)**2 ) * (2 * einstein_rad(d, self.mass, self.ds)* (ut**2 - umin**2)**0.5)**4 * kpctokm**2\n", + " B = (2*einstein_rad(d, self.mass, self.ds) * kpctokm * (ut**2 - umin**2)**0.5)**2 / (v_disp*htosec)**2\n", + "\n", + " def integral_t(t):\n", + " return A/(2*B) * (np.exp(-B/t**2 )/t - np.pi**(1/2) * erf(B**(1/2)/t) /(2* B**(1/2)))\n", + "\n", + " return integral_t(tobs) - integral_t(tcad)\n", + " \n", + " def rate_total_new(self, integrand_func, finite=True, tcad=0.07, tobs=3, epsabs = 1.49e-08, epsrel = 1.49e-08, efficiency=None): \n", + "\n", + " # Innermost double integral\n", + " def inner_integrand(u, d):\n", + " return integrand_func(u, d)\n", + " \n", + " # Second integral (over u) - bounds given by d\n", + " def second_integral(d):\n", + " if finite:\n", + " u_min, u_max = 0, self.umin_upper_bound(d)[0]\n", + "\n", + " else:\n", + " u_min, u_max = 0, self.u_t\n", + " \n", + " result, error = quad(inner_integrand, u_min, u_max, args=(d), epsabs=epsabs, epsrel=epsrel)\n", + "\n", + " return result\n", + " \n", + " # Outermost integral (over d)\n", + " d_min, d_max = 0, self.d_upper_bound() if finite else self.ds\n", + " result, error = quad(second_integral, d_min, d_max, epsabs=epsabs, epsrel=epsrel)\n", + " return result \n", + " \n", + " def rate_mw_new(self, finite=True, tcad = 0.07, tobs = 3, efficiency=None, epsabs = 1.49e-08, epsrel = 1.49e-08, t_fwhm=False):\n", + " def integrand_func(umin, d):\n", + " return self.differential_rate_integrand_new(umin, d, self.mw_model, finite=finite, tcad=tcad, tobs=tobs, t_fwhm=t_fwhm)\n", + " return self.rate_total_new(integrand_func, finite=finite, tcad=tcad, tobs=tobs, efficiency=efficiency, epsabs=epsabs, epsrel=epsrel)\n", + " \n", + " def rate_m31_new(self, finite=True, tcad = 0.07, tobs = 3, efficiency=None, epsabs = 1.49e-08, epsrel = 1.49e-08, t_fwhm=False):\n", + " def integrand_func(umin, d):\n", + " return self.differential_rate_integrand_new(umin, d, self.m31_model, finite=finite, tcad=tcad, tobs=tobs, t_fwhm=False)\n", + " result = self.rate_total_new(integrand_func, finite=finite, tcad=tcad, tobs=tobs, efficiency=efficiency, epsabs=epsabs, epsrel=epsrel)\n", + " if not np.isnan(result):\n", + " return result\n", + " else:\n", + " return 0\n", + " \n", + " def rate_tot_new(self, finite=True, tcad = 0.07, tobs = 3, efficiency=None, epsabs = 1.49e-08, epsrel = 1.49e-08, t_fwhm=False):\n", + " rate_mw = self.rate_mw_new(finite=finite, tcad=tcad, tobs=tobs, efficiency=efficiency, epsabs=epsabs, epsrel=epsrel, t_fwhm=t_fwhm)\n", + " rate_m31 = self.rate_m31_new(finite=finite, tcad=tcad, tobs=tobs, efficiency=efficiency, epsabs=epsabs, epsrel=epsrel, t_fwhm=t_fwhm)\n", + " return rate_mw + rate_m31\n", + " # return self.rate_mw(finite=finite) + self.rate_m31(finite=finite)\n", + " " ] }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 305, "metadata": {}, "outputs": [], "source": [ "m_lens = 3e-6\n", - "# pbh = Pbh(m_lens, 1, l=l, b=b, ds=ds)\n", - "pbh = Pbh(m_lens, 1, l=1.0, b=-1.03, ds=8.5, lognorm=True, sigma=0.1, u_t=1)\n", + "pbh = Pbh(m_lens, 1, l=l, b=b, ds=ds)\n", + "# pbh = Pbh(m_lens, 1, l=1.0, b=-1.03, ds=8.5, lognorm=True, sigma=0.1, u_t=1)\n", "ts = np.logspace(-2,1,50)" ] }, - { - "cell_type": "code", - "execution_count": 10, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "1.9830818245332607e-08" - ] - }, - "execution_count": 10, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "pbh.differential_rate_mw_lognorm(1, finite=True)" - ] - }, { "cell_type": "code", "execution_count": 83, diff --git a/nbs/01_ffp.ipynb b/nbs/01_ffp.ipynb index e054633..b251609 100644 --- a/nbs/01_ffp.ipynb +++ b/nbs/01_ffp.ipynb @@ -31,7 +31,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 10, "metadata": {}, "outputs": [], "source": [ @@ -60,9 +60,18 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 11, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The autoreload extension is already loaded. To reload it, use:\n", + " %reload_ext autoreload\n" + ] + } + ], "source": [ "%load_ext autoreload\n", "%autoreload 2" @@ -70,7 +79,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -306,7 +315,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ diff --git a/nbs/03_survey.ipynb b/nbs/03_survey.ipynb index ad7bb1e..d9ad997 100644 --- a/nbs/03_survey.ipynb +++ b/nbs/03_survey.ipynb @@ -138,11 +138,12 @@ " def get_crossing_times_rates_pbh(self,\n", " t_es: np.ndarray,\n", " finite: bool = False,\n", + " t_fwhm: bool = False,\n", " ) -> np.ndarray:\n", " if self.pbh is None:\n", " raise ValueError(\"PBH population not defined\")\n", " \n", - " return self.pbh.compute_differential_rate(t_es, finite=finite)\n", + " return self.pbh.compute_differential_rate(t_es, finite=finite, t_fwhm=t_fwhm)\n", " \n", " def get_crossing_times_rates_ffp(self,\n", " t_es: np.ndarray,\n", diff --git a/nbs/04_utils.ipynb b/nbs/04_utils.ipynb index 83d152b..86c582c 100644 --- a/nbs/04_utils.ipynb +++ b/nbs/04_utils.ipynb @@ -31,7 +31,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 1, "metadata": {}, "outputs": [], "source": [ @@ -40,11 +40,12 @@ "import numpy as np\n", "from numpy import pi\n", "from scipy.integrate import quad, nquad\n", - "from scipy.optimize import brentq\n", + "from scipy.optimize import brentq, fsolve\n", "from pathos.multiprocessing import ProcessingPool as Pool\n", - "from scipy.interpolate import interp1d, interp2d\n", + "from scipy.interpolate import interp1d, interp2d, RegularGridInterpolator\n", "import pickle\n", - "from LensCalcPy.interpolations.interps import ut_interp, ut_interp_mw, ut_interp_rho\n", + "from LensCalcPy.interpolations.interps import ut_interp, ut_interp_mw, ut_interp_rho, u_fwhm_interp\n", + "from tqdm import tqdm\n", "\n", "import matplotlib.pyplot as plt\n", "\n", @@ -53,7 +54,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ @@ -62,7 +63,8 @@ "#Put 0 indent assignments so that variables will be in __all__\n", "ut_interp = ut_interp\n", "ut_interp_mw = ut_interp_mw\n", - "ut_interp_rho = ut_interp_rho" + "ut_interp_rho = ut_interp_rho\n", + "u_fwhm_interp = u_fwhm_interp" ] }, { @@ -210,7 +212,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 30, "metadata": {}, "outputs": [], "source": [ @@ -330,6 +332,26 @@ " return ut_interp" ] }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "2.182820625326997" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "magnification(0.5)" + ] + }, { "cell_type": "code", "execution_count": 7, @@ -723,6 +745,246 @@ "plt.show() " ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### FWHM Conversions" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [], + "source": [ + "def magnification_finite_new(u, rho):\n", + " integrand = lambda r, theta: integrand_polar(r, theta, u)\n", + " result, _ = nquad(integrand, [[0, rho], [0, 2 * np.pi]])\n", + " return result / (np.pi * rho**2)" + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 46, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 30/30 [01:53<00:00, 3.79s/it]\n", + " 0%| | 0/30 [00:00" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.loglog(u_vals, u_hms)\n", + "plt.plot(u_vals, u_vals, ls='--', color='k')\n", + "plt.axhline(y=rho, color='k', ls='--')\n", + "plt.xlabel(r'$u_{min}$')\n", + "plt.ylabel(r'$u_{hm}$')" + ] + }, + { + "cell_type": "code", + "execution_count": 113, + "metadata": {}, + "outputs": [], + "source": [ + "u_min = 0.01\n", + "rho=0.1\n", + "t_fwhms = np.logspace(-1, 1, 30)\n", + "t_es_point = np.array([t_e_from_fwhm(t_fwhms, u_min, finite=False) for t_fwhms in t_fwhms])\n", + "t_es_finite = np.array([t_e_from_fwhm(t_fwhms, u_min, finite=True, rho=rho) for t_fwhms in t_fwhms])\n" + ] + }, + { + "cell_type": "code", + "execution_count": 114, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# plt.plot(t_fwhms, t_es_point, label='Point')\n", + "plt.plot(t_fwhms, t_es_finite, label='Finite')\n", + "plt.plot(t_fwhms, t_fwhms, label='t_fwhm', ls='--', color='k')\n", + "plt.legend()\n", + "plt.xlabel('t_fwhm')\n", + "plt.ylabel('t_e')\n", + "plt.title('u_min = ' + str(u_min) + ', rho = ' + str(rho))\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 61, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(t_fwhms, t_es_point, label='Point')\n", + "plt.plot(t_fwhms, t_es_finite, label='Finite')\n", + "plt.plot(t_fwhms, t_fwhms, label='t_fwhm', ls='--', color='k')\n", + "plt.legend()\n", + "plt.xlabel('t_fwhm')\n", + "plt.ylabel('t_e')\n", + "plt.title('u_min = ' + str(u_min) + ', rho = ' + str(rho))\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 59, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(t_fwhms, t_es_point, label='Point')\n", + "plt.plot(t_fwhms, t_es_finite, label='Finite')\n", + "plt.plot(t_fwhms, t_fwhms, label='t_fwhm', ls='--', color='k')\n", + "plt.legend()\n", + "plt.xlabel('t_fwhm')\n", + "plt.ylabel('t_e')\n", + "plt.title('u_min = ' + str(u_min) + ', rho = ' + str(rho))\n", + "plt.show()" + ] + }, { "cell_type": "code", "execution_count": null, diff --git a/nbs/09_lightcurves.ipynb b/nbs/09_lightcurves.ipynb index fabdc6e..a8bd80f 100644 --- a/nbs/09_lightcurves.ipynb +++ b/nbs/09_lightcurves.ipynb @@ -16,7 +16,7 @@ "metadata": {}, "outputs": [], "source": [ - "#| default_exp galaxy" + "#| default_exp lightcurves" ] }, { @@ -31,7 +31,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 1, "metadata": {}, "outputs": [], "source": [ @@ -122,6 +122,7 @@ " integrand = lambda r, theta: integrand_polar(r, theta, u)\n", " result, _ = nquad(integrand, [[0, rho], [0, 2 * np.pi]])\n", " return result / (np.pi * rho**2)\n", + " \n", "def u_fwhm_func(rho, umin):\n", " Amax = magnification_finite_new(umin, rho)\n", " func = lambda u: magnification_finite_new(u, rho) - (1+(1-Amax)/2)\n", @@ -138,20 +139,21 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ - "100%|██████████| 30/30 [02:06<00:00, 4.22s/it]\n", - " 0%| | 0/30 [00:00 0 to a scalar is deprecated, and will error in future. Ensure you extract a single element from your array before performing this operation. (Deprecated NumPy 1.25.)\n", - " return mag_finite_interp([float(rho), float(u)])\n", - "/Users/nolansmyth/opt/anaconda3/lib/python3.9/site-packages/scipy/optimize/_minpack_py.py:177: RuntimeWarning: The iteration is not making good progress, as measured by the \n", - " improvement from the last ten iterations.\n", - " warnings.warn(msg, RuntimeWarning)\n", - "100%|██████████| 30/30 [00:00<00:00, 38.93it/s]\n" + " 0%| | 0/30 [00:00 Date: Mon, 4 Dec 2023 09:31:20 -0800 Subject: [PATCH 08/17] Extended working + new interps --- .gitignore | 2 + LensCalcPy/_modidx.py | 15 + LensCalcPy/ffp.py | 100 +- LensCalcPy/interpolations/interps.py | 19 + LensCalcPy/interpolations/ut_interp_axion.pkl | Bin 0 -> 21179 bytes .../interpolations/ut_interp_axion_101.pkl | Bin 0 -> 21179 bytes .../interpolations/ut_interp_dressed.pkl | Bin 0 -> 21179 bytes .../interpolations/ut_interp_dressed_101.pkl | Bin 0 -> 21179 bytes LensCalcPy/interpolations/ut_interp_nfw.pkl | Bin 0 -> 21179 bytes .../interpolations/ut_interp_nfw_101.pkl | Bin 0 -> 21179 bytes LensCalcPy/lightcurves.py | 2 + LensCalcPy/pbh.py | 32 +- LensCalcPy/utils.py | 103 +- examples/extended.ipynb | 2352 +++++++++++++++-- examples/extended_lenses.ipynb | 1597 +++++++++++ examples/hsc_ubo_fwhm.ipynb | 1653 ++++++++++++ examples/tesstimates.ipynb | 45 +- nbs/00_pbh.ipynb | 90 +- nbs/01_ffp.ipynb | 251 +- nbs/04_utils.ipynb | 132 +- nbs/08_galaxy.ipynb | 23 +- nbs/09_lightcurves.ipynb | 255 +- 22 files changed, 6202 insertions(+), 469 deletions(-) create mode 100644 LensCalcPy/interpolations/ut_interp_axion.pkl create mode 100644 LensCalcPy/interpolations/ut_interp_axion_101.pkl create mode 100644 LensCalcPy/interpolations/ut_interp_dressed.pkl create mode 100644 LensCalcPy/interpolations/ut_interp_dressed_101.pkl create mode 100644 LensCalcPy/interpolations/ut_interp_nfw.pkl create mode 100644 LensCalcPy/interpolations/ut_interp_nfw_101.pkl create mode 100644 examples/extended_lenses.ipynb create mode 100644 examples/hsc_ubo_fwhm.ipynb diff --git a/.gitignore b/.gitignore index a17c6d3..0ab4eb8 100644 --- a/.gitignore +++ b/.gitignore @@ -7,6 +7,8 @@ examples/interps examples/bounds examples/figures examples/draft_figures +examples/r90_data +examples/extended_dat *.bak .gitattributes diff --git a/LensCalcPy/_modidx.py b/LensCalcPy/_modidx.py index 8fce12c..e3f4df4 100644 --- a/LensCalcPy/_modidx.py +++ b/LensCalcPy/_modidx.py @@ -20,13 +20,21 @@ 'LensCalcPy.ffp.Ffp.differential_rate': ('ffp.html#ffp.differential_rate', 'LensCalcPy/ffp.py'), 'LensCalcPy.ffp.Ffp.differential_rate_integrand': ( 'ffp.html#ffp.differential_rate_integrand', 'LensCalcPy/ffp.py'), + 'LensCalcPy.ffp.Ffp.differential_rate_integrand_new': ( 'ffp.html#ffp.differential_rate_integrand_new', + 'LensCalcPy/ffp.py'), 'LensCalcPy.ffp.Ffp.differential_rate_m31': ('ffp.html#ffp.differential_rate_m31', 'LensCalcPy/ffp.py'), 'LensCalcPy.ffp.Ffp.differential_rate_m31_mass': ( 'ffp.html#ffp.differential_rate_m31_mass', 'LensCalcPy/ffp.py'), + 'LensCalcPy.ffp.Ffp.differential_rate_m31_mass_new': ( 'ffp.html#ffp.differential_rate_m31_mass_new', + 'LensCalcPy/ffp.py'), 'LensCalcPy.ffp.Ffp.differential_rate_mass': ('ffp.html#ffp.differential_rate_mass', 'LensCalcPy/ffp.py'), + 'LensCalcPy.ffp.Ffp.differential_rate_mass_new': ( 'ffp.html#ffp.differential_rate_mass_new', + 'LensCalcPy/ffp.py'), 'LensCalcPy.ffp.Ffp.differential_rate_mw': ('ffp.html#ffp.differential_rate_mw', 'LensCalcPy/ffp.py'), 'LensCalcPy.ffp.Ffp.differential_rate_mw_mass': ( 'ffp.html#ffp.differential_rate_mw_mass', 'LensCalcPy/ffp.py'), + 'LensCalcPy.ffp.Ffp.differential_rate_mw_mass_new': ( 'ffp.html#ffp.differential_rate_mw_mass_new', + 'LensCalcPy/ffp.py'), 'LensCalcPy.ffp.Ffp.differential_rate_total': ('ffp.html#ffp.differential_rate_total', 'LensCalcPy/ffp.py'), 'LensCalcPy.ffp.Ffp.f_m': ('ffp.html#ffp.f_m', 'LensCalcPy/ffp.py'), 'LensCalcPy.ffp.Ffp.mass_func': ('ffp.html#ffp.mass_func', 'LensCalcPy/ffp.py'), @@ -182,9 +190,16 @@ 'LensCalcPy.utils.scientific_format': ('utils.html#scientific_format', 'LensCalcPy/utils.py'), 'LensCalcPy.utils.t_e_from_fwhm': ('utils.html#t_e_from_fwhm', 'LensCalcPy/utils.py'), 'LensCalcPy.utils.t_fwhm_gondolo': ('utils.html#t_fwhm_gondolo', 'LensCalcPy/utils.py'), + 'LensCalcPy.utils.u_t_axion': ('utils.html#u_t_axion', 'LensCalcPy/utils.py'), + 'LensCalcPy.utils.u_t_axion_101': ('utils.html#u_t_axion_101', 'LensCalcPy/utils.py'), + 'LensCalcPy.utils.u_t_dressed': ('utils.html#u_t_dressed', 'LensCalcPy/utils.py'), + 'LensCalcPy.utils.u_t_dressed_101': ('utils.html#u_t_dressed_101', 'LensCalcPy/utils.py'), 'LensCalcPy.utils.u_t_finite': ('utils.html#u_t_finite', 'LensCalcPy/utils.py'), 'LensCalcPy.utils.u_t_finite_wave': ('utils.html#u_t_finite_wave', 'LensCalcPy/utils.py'), + 'LensCalcPy.utils.u_t_nfw': ('utils.html#u_t_nfw', 'LensCalcPy/utils.py'), + 'LensCalcPy.utils.u_t_nfw_101': ('utils.html#u_t_nfw_101', 'LensCalcPy/utils.py'), 'LensCalcPy.utils.u_t_point': ('utils.html#u_t_point', 'LensCalcPy/utils.py'), + 'LensCalcPy.utils.uhm_point': ('utils.html#uhm_point', 'LensCalcPy/utils.py'), 'LensCalcPy.utils.ut_func_new': ('utils.html#ut_func_new', 'LensCalcPy/utils.py'), 'LensCalcPy.utils.velocity_dispersion_m31': ('utils.html#velocity_dispersion_m31', 'LensCalcPy/utils.py'), 'LensCalcPy.utils.velocity_dispersion_mw': ('utils.html#velocity_dispersion_mw', 'LensCalcPy/utils.py'), diff --git a/LensCalcPy/ffp.py b/LensCalcPy/ffp.py index 117e705..cd883bd 100644 --- a/LensCalcPy/ffp.py +++ b/LensCalcPy/ffp.py @@ -12,6 +12,7 @@ import numpy as np import matplotlib.pyplot as plt import pandas as pd +from math import erf from scipy.integrate import quad, nquad, dblquad, tplquad from scipy.interpolate import interp1d, interp2d @@ -100,22 +101,20 @@ def mass_func(self, log10m): m = 10**log10m return self.Z * (m/1)**-self.p - def differential_rate_integrand(self, umin, d, t, mf, model, finite=False, v_disp=None, t_e=False, tmax=np.inf, tmin=0): + def differential_rate_integrand(self, umin, d, t, mf, model, finite=False, v_disp=None, t_e=False, t_fwhm=False): r = model.dist_center(d, self.l, self.b) ut = self.umin_upper_bound(d, mf) if finite else self.u_t if ut <= umin: return 0 - if t_e: - #Calculate radial velocity in terms of einstein crossing time - v_rad = einstein_rad(d, mf, self.ds) * kpctokm / (t * htosec) - #crossing duration determined by extent of source in extreme finite limit - t_duration = max(ut, self.umin_upper_bound(d, mf)) * 2 * einstein_rad(d, mf) * kpctokm / v_rad / htosec #event duration in hours - if t_duration > tmax or t_duration < tmin: + if t_fwhm: + ut = u_fwhm_interp([rho_func(mf, d, self.ds), umin])[0] if finite else uhm_point(umin) + if ut <= umin: return 0 - else: - #Calculate radial velocity in terms of event duration (t_fwhm) - v_rad = velocity_radial(d, mf, umin, t * htosec, ut) + + #Calculate radial velocity in terms of event duration (t_fwhm) + v_rad = velocity_radial(d, mf, umin, t * htosec, ut, self.ds) + if v_disp is None: v_disp = model.velocity_dispersion_stars(r) return 2 * (1 / (ut**2 - umin**2)**0.5 * @@ -168,14 +167,14 @@ def integrand_logm(logm): return result - def differential_rate_mw(self, t, finite=True, v_disp=None, t_e=False, epsabs = 1.49e-08, epsrel = 1.49e-08, tmax=np.inf, tmin=0): + def differential_rate_mw(self, t, finite=True, v_disp=None, t_e=False, epsabs = 1.49e-08, epsrel = 1.49e-08, t_fwhm=False): def integrand_func(umin, d, mf, t): - return self.differential_rate_integrand(umin, d, t, mf, self.mw_model, finite=finite, v_disp=v_disp, t_e=t_e, tmax=tmax, tmin=tmin) + return self.differential_rate_integrand(umin, d, t, mf, self.mw_model, finite=finite, v_disp=v_disp, t_e=t_e, t_fwhm=t_fwhm) return self.differential_rate(t, integrand_func, finite=finite, epsabs=epsabs, epsrel=epsrel) - def differential_rate_m31(self, t, finite=True, v_disp=None, epsabs = 1.49e-08, epsrel = 1.49e-08,): + def differential_rate_m31(self, t, finite=True, v_disp=None, epsabs = 1.49e-08, epsrel = 1.49e-08, t_fwhm=False): def integrand_func(umin, d, mf, t): - return self.differential_rate_integrand(umin, d, t, mf, self.m31_model, finite=finite, v_disp=v_disp) + return self.differential_rate_integrand(umin, d, t, mf, self.m31_model, finite=finite, v_disp=v_disp, t_fwhm=t_fwhm) return self.differential_rate(t, integrand_func, finite=finite, epsabs=epsabs, epsrel=epsrel) def differential_rate_mw_mass(self, m, finite=True, v_disp=None, tcad=0.07, tobs=3, epsabs = 1.49e-08, epsrel = 1.49e-08, efficiency=None, monochromatic=False): @@ -214,13 +213,13 @@ def differential_rate_total(self, t, finite=False): def compute_differential_rate(self, ts, finite=False): return [self.differential_rate_total(t, finite=finite) for t in ts] - def differential_rate_mass(self, m, integrand_func, finite=True, tcad=0.07, tobs=3, epsabs = 1.49e-08, epsrel = 1.49e-08, efficiency=None, monochromatic=False): + def differential_rate_mass(self, mf, integrand_func, finite=True, tcad=0.07, tobs=3, epsabs = 1.49e-08, epsrel = 1.49e-08, efficiency=None, monochromatic=False): if efficiency is None: def efficiency(t): return 1 - point = self.sticking_point(m) + point = self.sticking_point(mf) def inner_integrand(u, d, t, m): return integrand_func(u, d, t, m) * efficiency(t) @@ -232,6 +231,7 @@ def second_integral(d, t, m): else: u_min, u_max = 0, self.u_t result, error = quad(inner_integrand, u_min, u_max, args=(d, t, m), epsabs=epsabs, epsrel=epsrel, points=[point]) + return result # Third integral (over d) @@ -247,10 +247,74 @@ def third_integral(t, m): # Outermost integral (over t) t_min = tcad t_max = tobs - result, error = quad(third_integral, t_min, t_max, args=(m,), epsabs=epsabs, epsrel=epsrel) + result, error = quad(third_integral, t_min, t_max, args=(mf,), epsabs=epsabs, epsrel=epsrel) + + if monochromatic: + return result + return result * self.f_m(mf) + + def differential_rate_integrand_new(self, umin, d, mf, model, finite=False, v_disp=None, tcad = 0.07, tobs = 3, t_fwhm=False, efficiency=None): + + #Analytically perform integral over t + r = model.dist_center(d, self.l, self.b) + + ut = self.umin_upper_bound(d, mf)[0] if finite else self.u_t + if ut <= umin: + return 0 + + if t_fwhm: + ut = u_fwhm_interp([rho_func(mf, d, self.ds), umin])[0] if finite else uhm_point(umin) + if ut <= umin: + return 0 + + if v_disp is None: + v_disp = model.velocity_dispersion_stars(r) + + if efficiency is None: + def efficiency(t): + return 1 + + #For FFP number density, use stellar density for 1 solar mass stars + A = 2/(ut**2 - umin**2)**0.5 * model.density_stars(d, self.l, self.b) / (1 * (v_disp*htosec/kpctokm)**2 ) * (2 * einstein_rad(d, mf, self.ds)* (ut**2 - umin**2)**0.5)**4 + B = (2*einstein_rad(d, mf, self.ds) * (ut**2 - umin**2)**0.5)**2 / (v_disp*htosec/kpctokm)**2 + + def integral_t(t): + return A/(2*B) * (np.exp(-B/(t**2) )/t - np.pi**(0.5) * erf(B**(1/2)/t) /(2* B**(0.5))) + + return (integral_t(tobs) - integral_t(tcad)) * efficiency((tcad-tobs)/2) + + def differential_rate_mass_new(self, mf, integrand_func, finite=True, tcad=0.07, tobs=3, epsabs = 1.49e-08, epsrel = 1.49e-08, efficiency=None, monochromatic=False): + + point = self.sticking_point(mf) + + # Second integral (over u) - bounds given by d + def second_integral(d, mf): + if finite: + u_min, u_max = 0, self.umin_upper_bound(d, mf) + else: + u_min, u_max = 0, self.u_t + + result, error = quad(integrand_func, u_min, u_max, args=(d, mf), epsabs=epsabs, epsrel=epsrel, points=[point]) + + return result + + # Third integral (over d) + d_min, d_max = 0, self.d_upper_bound(mf) if finite else self.ds + + result, error = quad(second_integral, d_min, d_max, args=(mf), epsabs=epsabs, epsrel=epsrel) if monochromatic: return result - return result * self.f_m(m) + return result * self.f_m(mf) + + def differential_rate_mw_mass_new(self, mf, finite=True, v_disp=None, tcad=0.07, tobs=3, epsabs = 1.49e-08, epsrel = 1.49e-08, efficiency=None, monochromatic=False, t_fwhm=False): + def integrand_func(umin, d, mf): + return self.differential_rate_integrand_new(umin, d, mf, self.mw_model, finite=finite, v_disp=v_disp, tcad=tcad, tobs=tobs, t_fwhm=t_fwhm) + return self.differential_rate_mass_new(mf, integrand_func, finite=finite, tcad=tcad, tobs=tobs, epsabs = epsabs, epsrel = epsrel, efficiency=efficiency, monochromatic=monochromatic) + + def differential_rate_m31_mass_new(self, mf, finite=True, v_disp=None, tcad=0.07, tobs=3, epsabs = 1.49e-08, epsrel = 1.49e-08, efficiency=None, monochromatic=False, t_fwhm=False): + def integrand_func(umin, d, mf): + return self.differential_rate_integrand_new(umin, d, mf, self.m31_model, finite=finite, v_disp=v_disp, tcad=tcad, tobs=tobs, t_fwhm=t_fwhm) + return self.differential_rate_mass_new(mf, integrand_func, finite=finite, tcad=tcad, tobs=tobs, epsabs = epsabs, epsrel = epsrel, efficiency=efficiency, monochromatic=monochromatic) diff --git a/LensCalcPy/interpolations/interps.py b/LensCalcPy/interpolations/interps.py index ef55d0b..e19803d 100644 --- a/LensCalcPy/interpolations/interps.py +++ b/LensCalcPy/interpolations/interps.py @@ -14,3 +14,22 @@ with open(file_path + "/u_fwhm_interp.pkl", "rb") as f: u_fwhm_interp = pickle.load(f) + +with open(file_path + "/ut_interp_nfw.pkl", "rb") as f: + ut_interp_nfw = pickle.load(f) + +with open(file_path + "/ut_interp_nfw_101.pkl", "rb") as f: + ut_interp_nfw_101 = pickle.load(f) + +with open(file_path + "/ut_interp_axion.pkl", "rb") as f: + ut_interp_axion = pickle.load(f) + +with open(file_path + "/ut_interp_axion_101.pkl", "rb") as f: + ut_interp_axion_101 = pickle.load(f) + +with open(file_path + "/ut_interp_dressed.pkl", "rb") as f: + ut_interp_dressed = pickle.load(f) + +with open(file_path + "/ut_interp_dressed_101.pkl", "rb") as f: + ut_interp_dressed_101 = pickle.load(f) + diff --git a/LensCalcPy/interpolations/ut_interp_axion.pkl b/LensCalcPy/interpolations/ut_interp_axion.pkl new file mode 100644 index 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zO|v5K+&-eEAoiK{{kgm5?r)3X(RNzYZH2`UcBXGbPZs(kmQ0JS(3Stk_V<4`pa1{+ i|KFN{-~TaS6w%Sy#l`lo|4=Sr)5-Zi-_U!%`u_s!g~-4F literal 0 HcmV?d00001 diff --git a/LensCalcPy/lightcurves.py b/LensCalcPy/lightcurves.py index af73cd4..40525c8 100644 --- a/LensCalcPy/lightcurves.py +++ b/LensCalcPy/lightcurves.py @@ -14,6 +14,8 @@ import numpy as np import matplotlib.pyplot as plt +import seaborn as sns + from fastcore.test import * diff --git a/LensCalcPy/pbh.py b/LensCalcPy/pbh.py index bd94bce..1715fd8 100644 --- a/LensCalcPy/pbh.py +++ b/LensCalcPy/pbh.py @@ -90,19 +90,12 @@ def differential_rate_integrand(self, umin, d, t, model, finite=False, v_disp=No ut = self.umin_upper_bound(d) if finite else self.u_t if ut <= umin: return 0 - if t_e: - #Calculate radial velocity in terms of einstein crossing time - v_rad = einstein_rad(d, self.mass, self.ds) * kpctokm / (t * htosec) - t_duration = max(ut, self.umin_upper_bound(d)) * 2 * einstein_rad(d, self.mass) * kpctokm / v_rad / htosec #event duration in hours - - if t_duration > tmax or t_duration < tmin: - return 0 - elif t_fwhm: + if t_fwhm: t_E = t_e_from_fwhm(t, umin, finite, rho_func(self.mass, d, self.ds)) v_rad = einstein_rad(d, self.mass, self.ds) * kpctokm / (t_E * htosec) else: #Calculate radial velocity in terms of event duration (t_fwhm) - v_rad = velocity_radial(d, self.mass, umin, t * htosec, ut) + v_rad = velocity_radial(d, self.mass, umin, t * htosec, ut, self.ds) if v_disp is None: v_disp = model.velocity_dispersion_dm(r) # v_disp = model.velocity_dispersion_nfw(r) @@ -149,12 +142,10 @@ def inner_integrand(u, d, t): # Second integral (over u) - bounds given by d def second_integral(d, t): if finite: - # u_min, u_max = 0, self.umin_upper_bound(d)[0] - u_min, u_max = 0, self.umin_upper_bound(d)[0] - + u_min, u_max = 0, self.umin_upper_bound(d) else: u_min, u_max = 0, self.u_t - + result, error = quad(inner_integrand, u_min, u_max, args=(d, t), epsabs=epsabs, epsrel=epsrel) return result @@ -162,6 +153,7 @@ def second_integral(d, t): # Outermost integral (over d) def outer_integral(t): d_min, d_max = 0, self.d_upper_bound() if finite else self.ds + result, error = quad(second_integral, d_min, d_max, args=(t,), epsabs=epsabs, epsrel=epsrel) # return result * self.mass_function(mf) * mf * np.log(10) # multiply by mass function and by dlogm * m return result @@ -240,7 +232,7 @@ def differential_rate_integrand_lognorm(self, umin, d, t, mf, model, finite=Fals return 0 #Calculate radial velocity in terms of event duration - v_rad = velocity_radial(d, mf, umin, t * htosec, ut) + v_rad = velocity_radial(d, mf, umin, t * htosec, ut, self.ds) if v_disp is None: v_disp = model.velocity_dispersion_dm(r) # if v_rad/v_disp > 10: @@ -295,6 +287,7 @@ def integrand_func(umin, d, mf, t): def differential_rate_integrand_new(self, umin, d, model, finite=False, v_disp=None, tcad = 0.07, tobs = 3, t_fwhm=False): + #Analytically perform integral over t r = model.dist_center(d, self.l, self.b) ut = self.umin_upper_bound(d) if finite else self.u_t if ut <= umin: @@ -305,11 +298,12 @@ def differential_rate_integrand_new(self, umin, d, model, finite=False, v_disp=N if t_fwhm: ut = u_fwhm_interp([rho_func(self.mass, d, self.ds), umin])[0] - A = 2/(ut**2 - umin**2)**0.5 * model.density_dm(d, self.l, self.b) / (self.mass * (v_disp*htosec)**2 ) * (2 * einstein_rad(d, self.mass, self.ds)* (ut**2 - umin**2)**0.5)**4 * kpctokm**2 - B = (2*einstein_rad(d, self.mass, self.ds) * kpctokm * (ut**2 - umin**2)**0.5)**2 / (v_disp*htosec)**2 + A = 2/(ut**2 - umin**2)**0.5 * model.density_dm(d, self.l, self.b) / (self.mass * (v_disp*htosec/kpctokm)**2 ) * (2 * einstein_rad(d, self.mass, self.ds)* (ut**2 - umin**2)**0.5)**4 + B = (2*einstein_rad(d, self.mass, self.ds) * (ut**2 - umin**2)**0.5)**2 / (v_disp*htosec/kpctokm)**2 def integral_t(t): - return A/(2*B) * (np.exp(-B/t**2 )/t - np.pi**(1/2) * erf(B**(1/2)/t) /(2* B**(1/2))) + # return A/(2*B) * (np.exp(-B/t**2 )/t - np.pi**(1/2) * erf(B**(1/2)/t) /(2* B**(1/2))) + return A*(np.exp(-B/t**2 )/(2*B*t) - np.pi**(0.5) * erf(B**(0.5)/t) /(4* B**(1.5))) return integral_t(tobs) - integral_t(tcad) @@ -323,10 +317,8 @@ def inner_integrand(u, d): def second_integral(d): if finite: u_min, u_max = 0, self.umin_upper_bound(d)[0] - else: - u_min, u_max = 0, self.u_t - + u_min, u_max = 0, self.u_t result, error = quad(inner_integrand, u_min, u_max, args=(d), epsabs=epsabs, epsrel=epsrel) return result diff --git a/LensCalcPy/utils.py b/LensCalcPy/utils.py index f4554b2..4bf2dd0 100644 --- a/LensCalcPy/utils.py +++ b/LensCalcPy/utils.py @@ -1,13 +1,15 @@ # AUTOGENERATED! DO NOT EDIT! File to edit: ../nbs/04_utils.ipynb. # %% auto 0 -__all__ = ['ut_interp', 'ut_interp_mw', 'ut_interp_rho', 'u_fwhm_interp', 'm_low_interp', 'm_high_interp', 'rho_min', 'rho_max', - 'rhos', 'A_thresh_min', 'A_thresh_max', 'A_threshs', 'dist_mw', 'dist_m31', 'density_mw', 'density_m31', - 'mass_enclosed_mw', 'mass_enclosed_m31', 'velocity_dispersion_mw', 'velocity_dispersion_m31', 'dist', - 'einstein_rad', 'velocity_radial', 'event_duration', 'get_primed_coords', 'scientific_format', 'w_func', - 'rho_func', 'magnification', 'magnification_wave', 'displacement', 'integrand_polar_wave', 'integrand_polar', +__all__ = ['ut_interp', 'ut_interp_mw', 'ut_interp_rho', 'u_fwhm_interp', 'ut_interp_nfw', 'ut_interp_nfw_101', 'ut_interp_axion', + 'ut_interp_dressed', 'm_low_interp', 'm_high_interp', 'rho_min', 'rho_max', 'rhos', 'A_thresh_min', + 'A_thresh_max', 'A_threshs', 'dist_mw', 'dist_m31', 'density_mw', 'density_m31', 'mass_enclosed_mw', + 'mass_enclosed_m31', 'velocity_dispersion_mw', 'velocity_dispersion_m31', 'dist', 'einstein_rad', + 'velocity_radial', 'event_duration', 'get_primed_coords', 'scientific_format', 'w_func', 'rho_func', + 'magnification', 'magnification_wave', 'displacement', 'integrand_polar_wave', 'integrand_polar', 'magnification_finite_wave', 'magnification_finite', 'u_t_finite', 'u_t_point', 'u_t_finite_wave', - 'make_ut_interp', 'ut_func_new', 'f_func', 't_fwhm_gondolo', 't_e_from_fwhm'] + 'make_ut_interp', 'u_t_nfw', 'u_t_nfw_101', 'u_t_axion', 'u_t_axion_101', 'u_t_dressed', 'u_t_dressed_101', + 'ut_func_new', 'f_func', 't_fwhm_gondolo', 'uhm_point', 't_e_from_fwhm'] # %% ../nbs/04_utils.ipynb 3 from .parameters import * @@ -18,7 +20,7 @@ from pathos.multiprocessing import ProcessingPool as Pool from scipy.interpolate import interp1d, interp2d, RegularGridInterpolator import pickle -from .interpolations.interps import ut_interp, ut_interp_mw, ut_interp_rho, u_fwhm_interp +from .interpolations.interps import * from tqdm import tqdm import matplotlib.pyplot as plt @@ -31,6 +33,10 @@ ut_interp_mw = ut_interp_mw ut_interp_rho = ut_interp_rho u_fwhm_interp = u_fwhm_interp +ut_interp_nfw = ut_interp_nfw +ut_interp_nfw_101 = ut_interp_nfw_101 +ut_interp_axion = ut_interp_axion +ut_interp_dressed = ut_interp_dressed # %% ../nbs/04_utils.ipynb 5 def dist_mw(d: float, # distance from the Sun in kpc @@ -78,7 +84,7 @@ def dist(d: float, # distance from the Sun in kpc def einstein_rad(d: float, # distance from the Sun in kpc mass: float, # mass of the lens in Msun - ds: float = ds, # distance to the source in kpc + ds: float, # distance to the source in kpc ) -> float: # Einstein radius in kpc return (4 * G * mass * dist(d, ds)/c**2)**(1/2) @@ -87,8 +93,9 @@ def velocity_radial(d: float, # distance from the Sun in kpc umin: float, # minimum impact parameter t: float, # crossing time in hours ut: float, # threshold impact parameter + ds: float, # distance to the source in kpc ) -> float: # radial velocity in km/s - return 2*einstein_rad(d, mass) * (ut**2 - umin**2)**(1/2) / t * kpctokm + return 2*einstein_rad(d, mass, ds) * (ut**2 - umin**2)**(1/2) / t * kpctokm def event_duration(d: float, # distance from the Sun in kpc mass: float, # mass of the lens in Msun @@ -253,7 +260,74 @@ def calc_ut_arr(m): ut_interp = interp2d(d_arr, m_arr, ut_values) return ut_interp -# %% ../nbs/04_utils.ipynb 14 +# %% ../nbs/04_utils.ipynb 9 +def u_t_nfw(rho, r90): + if r90 > ut_interp_nfw.grid[1][-1]: + return 0 + elif r90 < ut_interp_nfw.grid[1][0]: + r90 = ut_interp_nfw.grid[1][0] + if rho > ut_interp_nfw.grid[0][-1]: + return 0 + elif rho < ut_interp_nfw.grid[0][0]: + rho = ut_interp_nfw.grid[0][0] + return ut_interp_nfw((rho, r90)) + +def u_t_nfw_101(rho, r90): + if r90 > ut_interp_nfw_101.grid[1][-1]: + return 0 + elif r90 < ut_interp_nfw_101.grid[1][0]: + r90 = ut_interp_nfw_101.grid[1][0] + if rho > ut_interp_nfw_101.grid[0][-1]: + return 0 + elif rho < ut_interp_nfw_101.grid[0][0]: + rho = ut_interp_nfw_101.grid[0][0] + return ut_interp_nfw_101((rho, r90)) + +def u_t_axion(rho, r90): + if r90 > ut_interp_axion.grid[1][-1]: + return 0 + elif r90 < ut_interp_axion.grid[1][0]: + r90 = ut_interp_axion.grid[1][0] + if rho > ut_interp_axion.grid[0][-1]: + return 0 + elif rho < ut_interp_axion.grid[0][0]: + rho = ut_interp_axion.grid[0][0] + return ut_interp_axion((rho, r90)) + +def u_t_axion_101(rho, r90): + if r90 > ut_interp_axion_101.grid[1][-1]: + return 0 + elif r90 < ut_interp_axion_101.grid[1][0]: + r90 = ut_interp_axion_101.grid[1][0] + if rho > ut_interp_axion_101.grid[0][-1]: + return 0 + elif rho < ut_interp_axion_101.grid[0][0]: + rho = ut_interp_axion_101.grid[0][0] + return ut_interp_axion_101((rho, r90)) + +def u_t_dressed(rho, r90): + if r90 > ut_interp_dressed.grid[1][-1]: + return 0 + elif r90 < ut_interp_dressed.grid[1][0]: + r90 = ut_interp_dressed.grid[1][0] + if rho > ut_interp_dressed.grid[0][-1]: + return 0 + elif rho < ut_interp_dressed.grid[0][0]: + rho = ut_interp_dressed.grid[0][0] + return ut_interp_dressed((rho, r90)) + +def u_t_dressed_101(rho, r90): + if r90 > ut_interp_dressed_101.grid[1][-1]: + return 0 + elif r90 < ut_interp_dressed_101.grid[1][0]: + r90 = ut_interp_dressed_101.grid[1][0] + if rho > ut_interp_dressed_101.grid[0][-1]: + return 0 + elif rho < ut_interp_dressed_101.grid[0][0]: + rho = ut_interp_dressed_101.grid[0][0] + return ut_interp_dressed_101((rho, r90)) + +# %% ../nbs/04_utils.ipynb 16 #Ratio of angular extent of source and lens in plane of lens # rho == theta_s/theta_l rho_min = 0.1 @@ -269,7 +343,7 @@ def calc_ut_arr(m): A_threshs = np.linspace(A_thresh_min, A_thresh_max, 40) -# %% ../nbs/04_utils.ipynb 16 +# %% ../nbs/04_utils.ipynb 18 def ut_func_new(rho, A_thresh): # rho = np.asarray(rho) rho = np.atleast_1d(rho) # Ensure rho is at least 1-dimensional @@ -278,7 +352,7 @@ def ut_func_new(rho, A_thresh): # return ut_interp_rho(rho) return ut_interp_rho(rho, A_thresh) -# %% ../nbs/04_utils.ipynb 30 +# %% ../nbs/04_utils.ipynb 33 def f_func(x): return (2 + x)/(x*(4+x))**(0.5) - 1 @@ -288,6 +362,11 @@ def t_fwhm_gondolo(t_e, umin): w_b = 2*(bw2 - umin**2)**(1/2) return w_b * t_e +def uhm_point(umin): + if umin==0: + return np.inf + return (2* f_func(f_func(umin**2)))**(1/2) + def t_e_from_fwhm(t_fwhm, umin, finite, rho=None): if not finite: return t_fwhm / t_fwhm_gondolo(1, umin) diff --git a/examples/extended.ipynb b/examples/extended.ipynb index 78dd35f..636924d 100644 --- a/examples/extended.ipynb +++ b/examples/extended.ipynb @@ -2,9 +2,18 @@ "cells": [ { "cell_type": "code", - "execution_count": 159, + "execution_count": 106, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The autoreload extension is already loaded. To reload it, use:\n", + " %reload_ext autoreload\n" + ] + } + ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", @@ -13,6 +22,10 @@ "from scipy.integrate import nquad, dblquad, tplquad\n", "from scipy.optimize import minimize_scalar, fsolve, brentq\n", "from scipy.integrate import quad\n", + "from math import erf\n", + "\n", + "from pathos.multiprocessing import ProcessingPool as Pool\n", + "from functools import partial\n", "\n", "from scipy.interpolate import interp1d, interp2d, RegularGridInterpolator\n", "from tqdm import tqdm\n", @@ -29,13 +42,15 @@ "from LensCalcPy.galaxy import *\n", "from LensCalcPy.parameters import *\n", "\n", + "from fastcore.test import *\n", "\n", - "from fastcore.test import *" + "%load_ext autoreload\n", + "%autoreload 2" ] }, { "cell_type": "code", - "execution_count": 160, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ @@ -45,13 +60,10 @@ }, { "cell_type": "code", - "execution_count": 66, + "execution_count": 52, "metadata": {}, "outputs": [], "source": [ - "#| export\n", - "\n", - "\n", "class Nfw(Lens):\n", " \"\"\"A class to represent a PBH population\"\"\"\n", "\n", @@ -62,13 +74,16 @@ " b = None,\n", " ds = 770,\n", " ut_interp = None,\n", - " r90 = None\n", + " R90 = None,\n", + " u_t = 1,\n", + " rS = 1,\n", " ):\n", " \"\"\"\n", " Initialize the PBH population\n", " \"\"\"\n", "\n", " self.mw_model = mw_model or MilkyWayModel(mw_parameters)\n", + " self.m31_model = M31Model(m31_parameters)\n", " \n", " if l is None:\n", " raise ValueError(\"Galactic longitude must be specified\")\n", @@ -80,114 +95,202 @@ " self.mass = mass\n", " self.ut_interp = ut_interp\n", " self.ds = ds\n", - " self.r90 = r90 #radius of 90% of the mass of the halo in kpc\n", + " self.R90 = R90 #radius of 90% of the mass of the halo in kpc\n", + " self.u_t = u_t #upper limit of u\n", + " self.rS = rS #scale radius in solar radii\n", " \n", " def __str__(self) -> str:\n", " return f\"NFW population with mass={self.mass}\"\n", " __repr__ = __str__\n", "\n", "\n", - " def differential_rate_integrand(self, umin, d, t, model, finite=False, v_disp=None, t_e = False, tmax=np.inf, tmin=0, t_fwhm=False):\n", + " def _rho_func(self, m, d):\n", + " return rho_func(m, d, self.ds) * self.rS #rS in solar radii\n", + "\n", + " def umin_upper_bound(self, d, m=None):\n", + " if m is None:\n", + " m = self.mass\n", + " rho = self._rho_func(m, d)\n", + " eR = einstein_rad(d, m, self.ds)\n", + " # return u_t_nfw(rho, self.R90/eR)\n", + " return u_t_nfw_101(rho, self.R90/eR)\n", + "\n", + " \n", + " def differential_rate_total(self, t, finite=True):\n", + " return self.differential_rate_mw(t, finite=finite) + self.differential_rate_m31(t, finite=finite)\n", + " \n", + " def compute_differential_rate(self, ts, finite=False):\n", + " return [self.differential_rate_total(t, finite=finite) for t in ts]\n", + "\n", + " def d_upper_bound(self, m=None):\n", + " if m is None:\n", + " m = self.mass\n", + " #Determine upper limit for d otherwise for low masses, the contribution which only comes from d << 1 gets missed\n", + " d_arr = np.logspace(-3, np.log10(self.ds*0.99), 100)\n", + " for d in d_arr:\n", + " if self.umin_upper_bound(d,m=m) == 0:\n", + " return d\n", + " return self.ds\n", + " \n", + " def differential_rate_integrand_new(self, umin, d, model, tmin=0.07, tmax=3, finite=False, v_disp=None, t_fwhm=False):\n", "\n", + " #Analytically perform integral over t\n", " r = model.dist_center(d, self.l, self.b)\n", - " ut = self.umin_upper_bound(d) \n", + " ut = self.umin_upper_bound(d) if finite else self.u_t\n", " if ut <= umin:\n", " return 0\n", - " if t_e: \n", - " #Calculate radial velocity in terms of einstein crossing time\n", - " v_rad = einstein_rad(d, self.mass, self.ds) * kpctokm / (t * htosec) \n", - " t_duration = max(ut, self.umin_upper_bound(d)) * 2 * einstein_rad(d, self.mass) * kpctokm / v_rad / htosec #event duration in hours\n", - "\n", - " if t_duration > tmax or t_duration < tmin:\n", - " return 0 \n", - " else:\n", - " #Calculate radial velocity in terms of event duration (t_fwhm)\n", - " v_rad = velocity_radial(d, self.mass, umin, t * htosec, ut) \n", " if v_disp is None: \n", - " v_disp = model.velocity_dispersion_dm(r)\n", + " # v_disp = model.velocity_dispersion_dm(r)\n", + " v_disp = model.velocity_dispersion_nfw(r)\n", + " \n", + " # if t_fwhm:\n", + " # ut = u_fwhm_interp([rho_func(self.mass, d, self.ds), umin])[0]\n", + " # ut = self.ut_interp(self._rho_func(self.mass, d), umin)\n", "\n", - " return 2 * (1 / (ut**2 - umin**2)**0.5 *\n", - " model.density_dm(d, self.l, self.b) / (self.mass * v_disp**2) * \n", - " v_rad**4 * (htosec / kpctokm)**2 *\n", - " np.exp(-(v_rad**2 / v_disp**2)) *\n", - " 1)\n", + " A = 2/(ut**2 - umin**2)**0.5 * model.density_dm(d, self.l, self.b) / (self.mass * (v_disp*htosec)**2 ) * (2 * einstein_rad(d, self.mass, self.ds)* (ut**2 - umin**2)**0.5)**4 * kpctokm**2\n", + " B = (2*einstein_rad(d, self.mass, self.ds) * kpctokm * (ut**2 - umin**2)**0.5)**2 / (v_disp*htosec)**2\n", "\n", - " def differential_rate_integrand_mw(self, umin, d, t, finite=False):\n", - " return self.differential_rate_integrand(umin, d, t, self.mw_model, finite=finite)\n", - " \n", - " \n", - " def differential_rate(self, t, integrand_func, finite=False, epsabs=1.49e-08, epsrel=1.49e-08):\n", + " def integral_t(t):\n", + " return A/(2*B) * (np.exp(-B/t**2 )/t - np.pi**(1/2) * erf(B**(1/2)/t) /(2* B**(1/2)))\n", "\n", - " def inner_integrand(u, d, t):\n", - " return integrand_func(u, d, t)\n", - " \n", + " return integral_t(tmax) - integral_t(tmin)\n", + "\n", + " def rate_total_new(self, integrand_func, finite=True, tcad=0.07, tobs=3, epsabs = 1.49e-08, epsrel = 1.49e-08, efficiency=None): \n", + "\n", + " # Innermost integral over t\n", + " if efficiency is None:\n", + " def inner_integrand(u, d):\n", + " return integrand_func(u, d, tmin=tcad, tmax=tobs)\n", + " else:\n", + " t_arr = np.logspace(np.log10(tcad), np.log10(tobs), 10) #Evaluate the efficiency at 10 logarithmic points between tcad and tobs\n", + " t_mins = t_arr[:-1]\n", + " t_maxs = t_arr[1:]\n", + " def inner_integrand(u, d):\n", + " return np.sum([integrand_func(u, d, tmin=tmin, tmax=tmax) * efficiency((tmin*tmax)**(1/2)) for tmin, tmax in zip(t_mins, t_maxs)]) #use geometric mean of tmin and tmax to evaluate efficiency\n", + " \n", " # Second integral (over u) - bounds given by d\n", - " def second_integral(d, t):\n", - " \n", + " def second_integral(d):\n", " u_min, u_max = 0, self.umin_upper_bound(d)\n", - " \n", - " result, error = quad(inner_integrand, u_min, u_max, args=(d, t), epsabs=epsabs, epsrel=epsrel)\n", + " result, error = quad(inner_integrand, u_min, u_max, args=(d), epsabs=epsabs, epsrel=epsrel) \n", "\n", " return result\n", " \n", " # Outermost integral (over d)\n", + " # d_min, d_max = 0, self.d_upper_bound() if finite else self.ds\n", " d_min, d_max = 0, self.ds\n", - " result, error = quad(second_integral, d_min, d_max, args=(t,), epsabs=epsabs, epsrel=epsrel)\n", - " return result\n", "\n", - " def rate_total(self, integrand_func, finite=True, tcad=0.07, tobs=3, epsabs = 1.49e-08, epsrel = 1.49e-08, efficiency=None): \n", + " result, error = quad(second_integral, d_min, d_max, epsabs=epsabs, epsrel=epsrel)\n", + " return result \n", + " \n", + " def rate_mw_new(self, finite=True, tcad = 0.07, tobs = 3, efficiency=None, epsabs = 1.49e-08, epsrel = 1.49e-08, t_fwhm=False, v_disp=None):\n", + " def integrand_func(umin, d, tmin, tmax):\n", + " return self.differential_rate_integrand_new(umin, d, self.mw_model, tmin, tmax, finite=finite, t_fwhm=t_fwhm, v_disp=v_disp)\n", + " return self.rate_total_new(integrand_func, finite=finite, tcad=tcad, tobs=tobs, efficiency=efficiency, epsabs=epsabs, epsrel=epsrel)\n", + " \n", + " def rate_m31_new(self, finite=True, tcad = 0.07, tobs = 3, efficiency=None, epsabs = 1.49e-08, epsrel = 1.49e-08, t_fwhm=False, v_disp=None):\n", + " def integrand_func(umin, d, tmin, tmax):\n", + " return self.differential_rate_integrand_new(umin, d, self.m31_model, tmin, tmax, finite=finite, t_fwhm=t_fwhm, v_disp=v_disp)\n", + " return self.rate_total_new(integrand_func, finite=finite, tcad=tcad, tobs=tobs, efficiency=efficiency, epsabs=epsabs, epsrel=epsrel)\n", + " \n" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "def _rho_func(m, d, ds, rS = 1):\n", + " return rho_func(m, d, ds) * rS #rS in solar radii\n", + "\n", + "def umin_upper_bound(d, m, ds, R90, u_t_func):\n", + " rho = _rho_func(m, d, ds, rS = 1)\n", + " eR = einstein_rad(d, m, ds)\n", + " return u_t_func(rho, R90/eR)\n", "\n", - " # Innermost double integral\n", - " def inner_integrand(u, d, t):\n", - " return integrand_func(u, d, t)\n", " \n", - " # Second integral (over u) - bounds given by d\n", - " def second_integral(d, t):\n", + "# def d_upper_bound(self, m=None):\n", + "# if m is None:\n", + "# m = self.mass\n", + "# #Determine upper limit for d otherwise for low masses, the contribution which only comes from d << 1 gets missed\n", + "# d_arr = np.logspace(-3, np.log10(self.ds*0.99), 100)\n", + "# for d in d_arr:\n", + "# if self.umin_upper_bound(d,m=m) == 0:\n", + "# return d\n", + "# return self.ds\n", + " \n", + "def differential_rate_integrand_new(umin, d, model, l, b, mass, ds, R90, u_t_func, tmin=0.07, tmax=3, finite=False, v_disp=None):\n", "\n", - " u_min, u_max = 0, self.umin_upper_bound(d)\n", - " \n", - " result, error = quad(inner_integrand, u_min, u_max, args=(d, t), epsabs=epsabs, epsrel=epsrel)\n", + " #Analytically perform integral over t\n", + " r = model.dist_center(d, l, b)\n", + " ut = umin_upper_bound(d, mass, ds, R90, u_t_func) \n", + " if ut <= umin:\n", + " return 0\n", + " if v_disp is None: \n", + " # v_disp = model.velocity_dispersion_dm(r)\n", + " v_disp = model.velocity_dispersion_nfw(r)\n", "\n", - " return result\n", - " \n", - " # Outermost integral (over d)\n", - " def outer_integral(t):\n", - " d_min, d_max = 0, self.ds\n", - " result, error = quad(second_integral, d_min, d_max, args=(t,), epsabs=epsabs, epsrel=epsrel)\n", - " # return result * self.mass_function(mf) * mf * np.log(10) # multiply by mass function and by dlogm * m\n", - " return result \n", + " A = 2/(ut**2 - umin**2)**0.5 * model.density_dm(d, l, b) / (mass * (v_disp*htosec)**2 ) * (2 * einstein_rad(d, mass, ds)* (ut**2 - umin**2)**0.5)**4 * kpctokm**2\n", + " B = (2*einstein_rad(d, mass, ds) * kpctokm * (ut**2 - umin**2)**0.5)**2 / (v_disp*htosec)**2\n", + "\n", + " def integral_t(t):\n", + " return A/(2*B) * (np.exp(-B/t**2 )/t - np.pi**(1/2) * erf(B**(1/2)/t) /(2* B**(1/2)))\n", + "\n", + " return integral_t(tmax) - integral_t(tmin)\n", + "\n", + "def rate_total_new(integrand_func, mass, ds, R90, u_t_func, finite=True, tcad=0.07, tobs=3, epsabs = 1.49e-08, epsrel = 1.49e-08, efficiency=None): \n", + "\n", + " # Innermost integral over t\n", + " if efficiency is None:\n", + " def inner_integrand(u, d):\n", + " return integrand_func(u, d, tmin=tcad, tmax=tobs)\n", + " else:\n", + " t_arr = np.logspace(np.log10(tcad), np.log10(tobs), 10) #Evaluate the efficiency at 10 logarithmic points between tcad and tobs\n", + " t_mins = t_arr[:-1]\n", + " t_maxs = t_arr[1:]\n", + " def inner_integrand(u, d):\n", + " return np.sum([integrand_func(u, d, tmin=tmin, tmax=tmax) * efficiency((tmin*tmax)**(1/2)) for tmin, tmax in zip(t_mins, t_maxs)]) #use geometric mean of tmin and tmax to evaluate efficiency\n", " \n", - " # Integrate over time\n", - " result, error = quad(outer_integral, tcad, tobs, epsabs=epsabs, epsrel=epsrel)\n", + " # Second integral (over u) - bounds given by d\n", + " def second_integral(d):\n", + " u_min, u_max = 0, umin_upper_bound(d, mass, ds, R90, u_t_func)\n", + " result, error = quad(inner_integrand, u_min, u_max, args=(d), epsabs=epsabs, epsrel=epsrel) \n", + "\n", " return result\n", " \n", - " def rate_mw(self, finite=False, tcad = 0.07, tobs = 3, efficiency=None, epsabs = 1.49e-08, epsrel = 1.49e-08):\n", - " def integrand_func(umin, d, t):\n", - " return self.differential_rate_integrand_mw(umin, d, t, finite=finite,)\n", - " return self.rate_total(integrand_func, finite=finite, tcad=tcad, tobs=tobs, efficiency=efficiency, epsabs=epsabs, epsrel=epsrel)\n", - " \n", - " def differential_rate_mw(self, t, finite=True, v_disp=None, t_e=False, tmax=np.inf, tmin=0, t_fwhm=False):\n", - " def integrand_func(umin, d, t):\n", - " return self.differential_rate_integrand(umin, d, t, self.mw_model, finite=finite, v_disp=v_disp, t_e = t_e, tmax=tmax, tmin=tmin, t_fwhm=t_fwhm)\n", - " return self.differential_rate(t, integrand_func, finite=finite)\n", + " # Outermost integral (over d)\n", + " # d_min, d_max = 0, self.d_upper_bound() if finite else self.ds\n", + " d_min, d_max = 0, ds\n", "\n", - " def umin_upper_bound(self, d, m=None):\n", - " if m is None:\n", - " m = self.mass\n", - " rE = einstein_rad(d, m, self.ds)\n", - " return self.ut_interp(self.r90/rE)\n", + " result, error = quad(second_integral, d_min, d_max, epsabs=epsabs, epsrel=epsrel)\n", + " return result \n", " \n", - " def differential_rate_total(self, t, finite=True):\n", - " return self.differential_rate_mw(t, finite=finite) + self.differential_rate_m31(t, finite=finite)\n", - " \n", - " def compute_differential_rate(self, ts, finite=False):\n", - " return [self.differential_rate_total(t, finite=finite) for t in ts]\n", - " \n" + "def rate_mw_new(mass, ds, l, b, R90, u_t_func, finite=True, tcad = 0.07, tobs = 3, efficiency=None, epsabs = 1.49e-08, epsrel = 1.49e-08, v_disp=None):\n", + " def integrand_func(umin, d, tmin, tmax):\n", + " return differential_rate_integrand_new(umin, d, MilkyWayModel(mw_parameters), l, b, mass, ds, R90, u_t_func, tmin, tmax, finite=finite, v_disp=v_disp)\n", + " return rate_total_new(integrand_func, mass, ds, R90, u_t_func, finite=finite, tcad=tcad, tobs=tobs, efficiency=efficiency, epsabs=epsabs, epsrel=epsrel)\n", + "\n", + "def rate_m31_new(mass, ds, l, b, R90, finite=True, tcad = 0.07, tobs = 3, efficiency=None, epsabs = 1.49e-08, epsrel = 1.49e-08, v_disp=None):\n", + " def integrand_func(umin, d, tmin, tmax):\n", + " return differential_rate_integrand_new(umin, d, M31Model(m31_parameters), l, b, mass, ds, R90, u_t_func, tmin, tmax, finite=finite, v_disp=v_disp)\n", + " return rate_total_new(integrand_func, mass, ds, R90, u_t_func, finite=finite, tcad=tcad, tobs=tobs, efficiency=efficiency, epsabs=epsabs, epsrel=epsrel)\n", + "\n" ] }, { "cell_type": "code", - "execution_count": 138, + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "r90_vals_dressed = np.round(np.logspace(-1, np.log10(300), 50),2)\n", + "r90_vals_nfw = np.round(np.logspace(-1, np.log10(1000), 50),2)\n", + "r90_vals_axion = np.round(np.logspace(-1, np.log10(40), 50),2)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, "metadata": {}, "outputs": [], "source": [ @@ -202,137 +305,195 @@ " return roman_df['efficiency'][0]\n", " if t_day >= np.max(roman_df['t_e [days]']):\n", " return roman_df['efficiency'][len(roman_df)-1]\n", - " return(roman_efficiency_interp(t_day))" + " return(roman_efficiency_interp(t_day))\n", + "\n", + "def fake_effieiency(t):\n", + " return 1" ] }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 6, "metadata": {}, "outputs": [], "source": [ - "df = pd.read_csv('extended_dat/nfw_134.csv', header=None)\n", - "ut_nfw_interp = interp1d(df[0], df[1], kind='linear')\n", - "def ut_nfw(r90_re):\n", - " if r90_re < (ut_nfw_interp.x[0]):\n", - " return 1\n", - " elif r90_re > (ut_nfw_interp.x[-1]):\n", - " return 0\n", - " return ut_nfw_interp(r90_re)" + "# params = {\"l\": 1.0, \"b\": -1.03, \"source_dist\": 8.5, \"obs_time\": 6*72*24, \"cadence\": 15/60, \"n_sources\": 2.4e8, \"efficiency\": 1, \"A_t\": 1.34, \"survey_area\":0}\n", + "rsolkpc = 2.25e-11\n", + "params = {\"l\": 1.0, \"b\": -1.03, \"source_dist\": 8.5, \"obs_time\": 6*72*24, \"cadence\": 15/60, \"n_sources\": 2.4e8, \"efficiency\": 1, \"A_t\": 1.34, \"survey_area\":0}\n" ] }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 7, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "1.655346453341097e-10\n" + ] + } + ], "source": [ - "r90_re_arr = np.logspace(-1,2,100)\n", - "ut_nfw_vals = np.array([ut_nfw(r90_re) for r90_re in r90_re_arr])" + "R90_test = r90_vals_nfw[10]\n", + "m_test = 1e-8\n", + "print(rate_mw_new(m_test, params['source_dist'], params['l'], params['b'], R90_test*rsolkpc, u_t_nfw, tcad=params['cadence'], tobs=params['obs_time'], efficiency=None, epsabs=0, epsrel=1e-1))\n", + "# print(nfw.rate_mw_new(tcad=params['cadence'], tobs=params['obs_time'], efficiency=fake_effieiency, epsabs=0, epsrel=1e-1))" ] }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 110, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "3.3222526736735023e-06\n" + ] + } + ], + "source": [ + "nfw = Nfw(m_test, l=params['l'], b=params['b'], ds=params['source_dist'], R90=R90_test*rsolkpc, u_t=u_t_nfw, rS=1)\n", + "print(nfw.rate_mw_new(tcad=params['cadence'], tobs=params['obs_time'], efficiency=None, epsabs=0, epsrel=1e-1))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Extended Sources" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### NFW" + ] + }, + { + "cell_type": "code", + "execution_count": 115, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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" + "1.0284123541835283e-11" ] }, + "execution_count": 115, "metadata": {}, - "output_type": "display_data" + "output_type": "execute_result" } ], "source": [ - "plt.plot(r90_re_arr, ut_nfw_vals)\n", - "plt.xscale('log')" + "calculate_rate(1e1, 1, u_t_nfw)" ] }, { "cell_type": "code", - "execution_count": 87, + "execution_count": 116, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "3.784003963556321e-12" + ] + }, + "execution_count": 116, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ - "# params = {\"l\": 1.0, \"b\": -1.03, \"source_dist\": 8.5, \"obs_time\": 6*72*24, \"cadence\": 15/60, \"n_sources\": 2.4e8, \"efficiency\": 1, \"A_t\": 1.34, \"survey_area\":0}\n", - "params = {\"l\": 1.0, \"b\": -1.03, \"source_dist\": 8.5, \"obs_time\": 6*72*24, \"cadence\": 15/60, \"n_sources\": 2.4e8, \"efficiency\": 1, \"A_t\": 1.34, \"survey_area\":0}\n" + "calculate_rate(1e1, 1, u_t_nfw_101)" ] }, { "cell_type": "code", - "execution_count": 77, + "execution_count": 160, "metadata": {}, "outputs": [], "source": [ - "rsolkpc = 2.25e-11\n", - "nfw3=Nfw(1e-6, l=s.l, b=s.b, ds=s.source_dist, ut_interp=ut_nfw, r90=rsolkpc*3)\n", - "nfw30=Nfw(1e-6, l=s.l, b=s.b, ds=s.source_dist, ut_interp=ut_nfw, r90=rsolkpc*30)\n" + "def calculate_rate(m, R90, u_t_func):\n", + " # return rate_mw_new(m, params['source_dist'], params['l'], params['b'], R90*rsolkpc, u_t_func, tcad=params['cadence'], tobs=params['obs_time'], efficiency=roman_efficiency, epsabs=0, epsrel=1e-1)\n", + " return rate_mw_new(m, params['source_dist'], params['l'], params['b'], R90*rsolkpc, u_t_func, tcad=params['cadence'], tobs=params['obs_time']*100, efficiency=roman_efficiency, epsabs=0, epsrel=1e-1)" ] }, { "cell_type": "code", - "execution_count": 82, + "execution_count": 151, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ - "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_53937/2342537050.py:78: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", - " result, error = quad(inner_integrand, u_min, u_max, args=(d, t), epsabs=epsabs, epsrel=epsrel)\n" + " 0%| | 0/3 [00:00" + "
" ] }, "metadata": {}, @@ -383,27 +581,32 @@ } ], "source": [ - "#Real time parameters, higher precision\n", - "plt.loglog(m_arr, fdm_0, label='Point Lens')\n", - "plt.loglog(m_arr, fdm_3, label='$r_{90} = 3 R_{\\odot}$', ls='--')\n", - "plt.loglog(m_arr, fdm_30, label='$r_{90} = 30 R_{\\odot}$', ls=':')\n", - "plt.axvline(1e-11, ls='--', color='k', label='Finite cutoff')\n", - "plt.ylim(1e-7, 1)\n", - "plt.legend()\n", - "plt.xlabel('$M_{PBH} [M_{\\odot}]$')\n", - "plt.ylabel('$f_{PBH}$')\n", - "plt.title('Point Source Mock Roman')\n", + "u_T_values_nfw = np.zeros((len(rho_arr), len(r90_vals_nfw)))\n", + "\n", + "for i, r90 in enumerate(r90_vals_nfw):\n", + " for j, rho in enumerate(rho_arr):\n", + " u_T_values_nfw[j, i] = u_t_nfw(rho, r90)\n", + "\n", + "# Creating the contour plot\n", + "X, Y = np.meshgrid(r90_vals_nfw, rho_arr)\n", + "plt.contourf(X, Y, u_T_values_nfw, levels=20, cmap='viridis')\n", + "plt.colorbar(label='u_T')\n", + "plt.xscale('log')\n", + "plt.xlabel(r'$r_{90}$')\n", + "plt.ylabel(r'$\\rho$')\n", + "plt.title('NFW Subhalo')\n", + "plt.ylim(0,3)\n", "plt.show()" ] }, { "cell_type": "code", - "execution_count": 145, + "execution_count": 149, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -413,26 +616,34 @@ } ], "source": [ - "#Efficiency + Real time parameters\n", - "plt.loglog(m_arr, fdm_0, label='Point Lens')\n", - "plt.loglog(m_arr, fdm_3, label='$r_{90} = 3 R_{\\odot}$', ls='--')\n", - "plt.loglog(m_arr, fdm_30, label='$r_{90} = 30 R_{\\odot}$', ls=':')\n", + "#New R90 Implementation longer t_dur\n", + "R90_plot_vals = [0.1, 100]\n", + "for R90 in R90_plot_vals:\n", + " plt.loglog(m_arr, fdm_dict_e[R90], label=r'$R_{90} =$ ' + str(R90) + '$ ~R_{\\odot}$', color=color_dict[R90], linewidth=2.5)\n", + " plt.loglog(m_arr, fdm_dict_e_101[R90], color=color_dict[R90], ls='--')\n", + "\n", + "plt.plot(0, 0, color='k', label=r'$A_T = 1.34$')\n", + "plt.plot(0, 0, ls='--', color='k', label=r'$A_T = 1.01$')\n", + "\n", + "plot_existing_limits()\n", "plt.ylim(1e-7, 1)\n", + "plt.xlim(1e-11, 1e3)\n", "plt.legend()\n", - "plt.xlabel('$M_{PBH} [M_{\\odot}]$')\n", - "plt.ylabel('$f_{PBH}$')\n", - "plt.title('Point Source Mock Roman')\n", + "plt.xlabel('$M_{DM} [M_{\\odot}]$')\n", + "plt.ylabel('$f_{DM}$')\n", + "plt.title('NFW subhalos')\n", + "# plt.savefig('figures/extended_limits_e_101.pdf')\n", "plt.show()" ] }, { "cell_type": "code", - "execution_count": 137, + "execution_count": 119, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", "text/plain": [ "
" ] @@ -442,92 +653,197 @@ } ], "source": [ - "plt.loglog(m_arr, fdm_0, label='Point Lens')\n", - "plt.loglog(m_arr, fdm_3, label='$r_{90} = 3 R_{\\odot}$', ls='--')\n", - "plt.loglog(m_arr, fdm_30, label='$r_{90} = 30 R_{\\odot}$', ls=':')\n", - "plt.ylim(1e-7, 1)\n", + "r90_plot_vals = [0.1,1, 5, 20, 50]\n", + "rho_arr = np.logspace(-1, np.log10(4), 50)\n", + "\n", + "for r90 in r90_plot_vals:\n", + " ut_arr = np.array([u_t_nfw(rho, r90) for rho in rho_arr])\n", + " plt.plot(rho_arr, ut_arr, label=r'$r_{90} =$ ' + str(r90), color=color_dict[r90])\n", + "\n", + "# plt.plot(rho_arr, u_T_arr_01, label=r'$r_{90} = 0.1$')\n", + "# plt.plot(rho_arr, u_T_arr_10, label=r'$r_{90} = 10$')\n", + "# plt.plot(rho_arr, u_T_arr_100, label=r'$r_{90} = 100$')\n", + "plt.plot(rho_arr, rho_arr, label='u = rho', ls='--', color='k')\n", + "plt.xscale('log')\n", + "plt.xlabel(r'$\\rho$')\n", + "plt.ylabel(r'$u_T$')\n", + "# plt.ylim(0,4)\n", "plt.legend()\n", - "plt.xlabel('$M_{PBH} [M_{\\odot}]$')\n", - "plt.ylabel('$f_{PBH}$')\n", - "plt.title('Point Source Mock Roman')\n", + "# plt.savefig('figures/u_T_extended.pdf')\n", "plt.show()" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Axion" + ] + }, { "cell_type": "code", - "execution_count": 85, + "execution_count": 138, "metadata": {}, "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_53937/2342537050.py:98: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", - " result, error = quad(inner_integrand, u_min, u_max, args=(d, t), epsabs=epsabs, epsrel=epsrel)\n" - ] - }, { "data": { + "image/png": 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", "text/plain": [ - "4.517142147480595e-07" + "
" ] }, - "execution_count": 85, "metadata": {}, - "output_type": "execute_result" + "output_type": "display_data" } ], "source": [ - "nfw3.rate_mw()" + "u_T_values_axion = np.zeros((len(rho_arr), len(r90_vals_axion)))\n", + "\n", + "for i, r90 in enumerate(r90_vals_axion):\n", + " for j, rho in enumerate(rho_arr):\n", + " u_T_values_axion[j, i] = u_t_axion(rho, r90)\n", + "\n", + "# Creating the contour plot\n", + "X, Y = np.meshgrid(r90_vals_axion, rho_arr)\n", + "plt.contourf(X, Y, u_T_values_axion, levels=20, cmap='viridis')\n", + "plt.colorbar(label='u_T')\n", + "# plt.xscale('log')\n", + "plt.xlabel(r'$r_{90}$')\n", + "plt.ylabel(r'$\\rho$')\n", + "plt.title('Axion Star')\n", + "plt.ylim(0,2.5)\n", + "plt.xlim(0,5)\n", + "plt.show()" ] }, { "cell_type": "code", - "execution_count": 84, + "execution_count": 154, "metadata": {}, "outputs": [ { - "data": { - "text/plain": [ - "[]" - ] - }, - "execution_count": 84, - "metadata": {}, - "output_type": "execute_result" + "name": "stderr", + "output_type": "stream", + "text": [ + " 0%| | 0/3 [00:00" - ] - }, - "metadata": {}, - "output_type": "display_data" + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 3/3 [01:31<00:00, 30.39s/it]\n" + ] } ], "source": [ - "plt.loglog(ts, diff_rate_3)\n", - "plt.loglog(ts, diff_rate_30, '--')" + "m_arr = np.logspace(-11, 4, 40)\n", + "\n", + "rate_dict_axion = {}\n", + "\n", + "R90_values_axion = [0.1, 1, 10]\n", + "for R90 in tqdm(R90_values_axion):\n", + " func = partial(calculate_rate, R90=R90, u_t_func=u_t_axion)\n", + " with Pool() as pool:\n", + " rate_arr = np.array(pool.map(func, m_arr))\n", + " \n", + " rate_dict_axion[R90] = rate_arr" ] }, { - "cell_type": "markdown", + "cell_type": "code", + "execution_count": 155, "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 3/3 [01:47<00:00, 35.67s/it]\n" + ] + } + ], "source": [ - "### Calculate uT" + "rate_dict_axion_101 = {}\n", + "\n", + "for R90 in tqdm(R90_values_axion):\n", + " func = partial(calculate_rate, R90=R90, u_t_func=u_t_axion_101)\n", + " with Pool() as pool:\n", + " rate_arr = np.array(pool.map(func, m_arr))\n", + " rate_dict_axion_101[R90] = rate_arr" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 156, "metadata": {}, "outputs": [ { - "data": { + "name": "stderr", + "output_type": "stream", + "text": [ + "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_37915/614136275.py:2: RuntimeWarning: divide by zero encountered in divide\n", + " fdm = 3.0 / (rate*obs_time*n_sources)\n" + ] + } + ], + "source": [ + "fdm_dict_axion = {}\n", + "\n", + "for R90, rate_arr in rate_dict_axion.items():\n", + " fdm_arr = fdm_constraint(rate_arr, params['obs_time'], params['n_sources'])\n", + " fdm_dict_axion[R90] = fdm_arr" + ] + }, + { + "cell_type": "code", + "execution_count": 157, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_37915/614136275.py:2: RuntimeWarning: divide by zero encountered in divide\n", + " fdm = 3.0 / (rate*obs_time*n_sources)\n" + ] + } + ], + "source": [ + "fdm_dict_axion_101 = {}\n", + "\n", + "for R90, rate_arr in rate_dict_axion_101.items():\n", + " fdm_arr = fdm_constraint(rate_arr, params['obs_time'], params['n_sources'])\n", + " fdm_dict_axion_101[R90] = fdm_arr" + ] + }, + { + "cell_type": "code", + "execution_count": 158, + "metadata": {}, + "outputs": [], + "source": [ + "R90_01_axion_df = pd.read_csv('extended_dat/R90_01_axion.csv', header=None)\n", + "R90_1_axion_df = pd.read_csv('extended_dat/R90_1_axion.csv', header=None)\n", + "R90_10_axion_df = pd.read_csv('extended_dat/R90_10_axion.csv', header=None)\n", + "\n", + "def plot_existing_limits_axion():\n", + " plt.fill_between(R90_01_axion_df[0], R90_01_axion_df[1], 1, alpha=0.2, color=color_dict[0.1])\n", + " plt.fill_between(R90_1_axion_df[0], R90_1_axion_df[1], 1, alpha=0.2, color=color_dict[1])\n", + " plt.fill_between(R90_10_axion_df[0], R90_10_axion_df[1], 1, alpha=0.2, color=color_dict[10])\n", + " " + ] + }, + { + "cell_type": "code", + "execution_count": 132, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", "text/plain": [ - "[1.6912712210513328, -0.23652745045742374, -0.23652745045741544]" + "
" ] }, "metadata": {}, @@ -535,122 +851,224 @@ } ], "source": [ - "def mass_function(t, tm):\n", - " if abs(t) < tm:\n", - " return 1 - (1 - (t/tm)**2)**(1.5)\n", - " else:\n", - " return 1\n", - "\n", - "\n", - "def general_lensing_equation(t, u, tm):\n", - " m_t = mass_function(t, tm)\n", - " return u - t + m_t/t\n", - "\n", - "def find_image_positions(u, tm):\n", - " \n", - " initial_guesses = [u, tm/2, -tm/2]\n", - "\n", - " solutions = [fsolve(general_lensing_equation, guess, args=(u, tm))[0] for guess in initial_guesses]\n", + "r90_plot_vals = [0.1, 1, 4]\n", + "for R90 in R90_values_axion:\n", + " plt.loglog(m_arr, fdm_dict_axion[R90], label=r'$R_{90} =$ ' + str(R90) + '$ ~R_{\\odot}$', color=color_dict[R90], linewidth=2)\n", "\n", - " # unique_solutions = np.unique(np.round(solutions, 8))\n", + "# plt.plot(0, 0, ls='--', color='k', label='Existing Limits')\n", + "# plt.plot(0, 0, color='k', label='This Work')\n", + "plot_existing_limits_axion()\n", + "plt.ylim(1e-6, 1)\n", + "plt.xlim(1e-11, 1e2)\n", + "plt.legend()\n", + "plt.xlabel('$M_{DM} [M_{\\odot}]$')\n", + "plt.ylabel('$f_{DM}$')\n", + "plt.title('Axion Star Mock Roman')\n", + "# plt.savefig('figures/extended_limits_axion.pdf')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Dressed Black Holes" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "u_T_values_dressed = np.zeros((len(rho_arr), len(r90_vals_dressed)))\n", "\n", - " # return unique_solutions\n", - " return solutions\n", + "for i, r90 in enumerate(r90_vals_dressed):\n", + " for j, rho in enumerate(rho_arr):\n", + " u_T_values_dressed[j, i] = u_t_dressed(rho, r90)\n", "\n", + "# Creating the contour plot\n", + "X, Y = np.meshgrid(r90_vals_dressed, rho_arr)\n", + "plt.contourf(X, Y, u_T_values_dressed, levels=20, cmap='viridis')\n", + "plt.colorbar(label='u_T_values_dressed')\n", + "plt.xscale('log')\n", + "plt.xlabel(r'$r_{90}$')\n", + "plt.ylabel(r'$\\rho$')\n", + "plt.title('Dressed PBH')\n", + "plt.ylim(0,2.5)\n", + "plt.xlim(1e-1,100)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 161, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + " 0%| | 0/3 [00:00" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ - "def m_of_t(t, t_m):\n", - " if abs(t)< t_m:\n", - " return 1 - (1-t**2/t_m**2)**(3/2)\n", - " else:\n", - " return 1\n", + "for R90 in R90_values_dressed:\n", + " plt.loglog(m_arr, fdm_dict_dressed[R90], label=r'$R_{90} =$ ' + str(R90) + '$ ~R_{\\odot}$')\n", "\n", - "def ubar(u, rs, phi):\n", - " return (u**2 + rs**2 + 2*u*rs*np.cos(phi))**0.5\n", - "\n", - "def t_func(u, rs, phi):\n", - " u = ubar(u, rs, phi)\n", - " sol = fsolve(lambda t: u - (t - m_of_t(u_val, t)/t), 0.5)\n", - " if sol.size == 0:\n", - " return np.NaN\n", - " else: \n", - " return sol[0]\n", - "\n", - "def extended_mag(u, rs):\n", - " return 1/(np.pi * rs**2) * 0.5 * quad(lambda phi: t_func(u, rs, phi)**2, 0, 2*np.pi)[0]\n", - "\n", - "def u_T_func(rs, A_T=1.34):\n", - " return fsolve(lambda u: extended_mag(u, rs) - A_T, 0.5)[0]" + "# plt.plot(0, 0, ls='--', color='k', label='Existing Limits')\n", + "# plt.plot(0, 0, color='k', label='This Work')\n", + "# plot_existing_limits()\n", + "plt.ylim(1e-6, 1)\n", + "plt.xlim(1e-11, 1e2)\n", + "plt.legend()\n", + "plt.xlabel('$M_{DM} [M_{\\odot}]$')\n", + "plt.ylabel('$f_{DM}$')\n", + "plt.title('Dressed PBH Mock Roman')\n", + "# plt.savefig('figures/extended_limits_dressed.pdf')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### All plots" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 76, "metadata": {}, "outputs": [ { "data": { + "image/png": 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"text/plain": [ - "1.687946523434382" + "
" ] }, "metadata": {}, @@ -658,18 +1076,73 @@ } ], "source": [ - "t_func(1, 0.5, 0)" + "plt.figure(figsize=(18,6))\n", + "plt.subplot(1,3,1)\n", + "\n", + "u_T_values_nfw = np.zeros((len(rho_arr), len(r90_vals_nfw)))\n", + "\n", + "for i, r90 in enumerate(r90_vals_nfw):\n", + " for j, rho in enumerate(rho_arr):\n", + " u_T_values_nfw[j, i] = u_t_nfw(rho, r90)\n", + "\n", + "X, Y = np.meshgrid(r90_vals_nfw, rho_arr)\n", + "plt.contourf(X, Y, u_T_values_nfw, levels=20, cmap='viridis')\n", + "plt.colorbar()\n", + "plt.xscale('log')\n", + "plt.xlabel(r'$r_{90}$')\n", + "plt.ylabel(r'$\\rho$')\n", + "plt.title('NFW Subhalo')\n", + "plt.ylim(0,2.5)\n", + "plt.xlim(1e-1,1e2)\n", + "\n", + "plt.subplot(1,3,2)\n", + "u_T_values_dressed = np.zeros((len(rho_arr), len(r90_vals_dressed)))\n", + "\n", + "for i, r90 in enumerate(r90_vals_dressed):\n", + " for j, rho in enumerate(rho_arr):\n", + " u_T_values_dressed[j, i] = u_t_dressed(rho, r90)\n", + "\n", + "X, Y = np.meshgrid(r90_vals_dressed, rho_arr)\n", + "plt.contourf(X, Y, u_T_values_dressed, levels=20, cmap='viridis')\n", + "plt.colorbar()\n", + "plt.xscale('log')\n", + "plt.xlabel(r'$r_{90}$')\n", + "plt.ylabel(r'$\\rho$')\n", + "plt.title('Dressed PBH')\n", + "plt.ylim(0,2.5)\n", + "plt.xlim(1e-1,100)\n", + "\n", + "plt.subplot(1,3,3)\n", + "u_T_values_axion = np.zeros((len(rho_arr), len(r90_vals_axion)))\n", + "\n", + "for i, r90 in enumerate(r90_vals_axion):\n", + " for j, rho in enumerate(rho_arr):\n", + " u_T_values_axion[j, i] = u_t_axion(rho, r90)\n", + "\n", + "X, Y = np.meshgrid(r90_vals_axion, rho_arr)\n", + "plt.contourf(X, Y, u_T_values_axion, levels=20, cmap='viridis')\n", + "plt.colorbar(label='u_T')\n", + "# plt.xscale('log')\n", + "plt.xlabel(r'$r_{90}$')\n", + "plt.ylabel(r'$\\rho$')\n", + "plt.title('Axion Star')\n", + "plt.ylim(0,2.5)\n", + "plt.xlim(0,5)\n", + "plt.tight_layout()\n", + "# plt.savefig('figures/u_T_all.pdf')\n", + "plt.show()" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 166, "metadata": {}, "outputs": [ { "data": { + "image/png": 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"text/plain": [ - "2.000782436807818" + "
" ] }, "metadata": {}, @@ -677,45 +1150,221 @@ } ], "source": [ - "extended_mag(10, 10)" + "plt.figure(figsize=(12,12))\n", + "plt.subplot(3,1,1)\n", + "for R90 in R90_values:\n", + " plt.loglog(m_arr, fdm_dict_e[R90], label=r'$R_{90} =$ ' + str(R90) + '$ ~R_{\\odot}$', color=color_dict[R90], linewidth=2)\n", + " plt.loglog(m_arr, fdm_dict_e_101[R90], color=color_dict[R90], ls='--')\n", + "\n", + "plt.text(1e-4, 5e-7, 'NFW Subhalo', fontsize=18)\n", + "plot_existing_limits()\n", + "plt.ylim(1e-7, 1)\n", + "plt.xlim(1e-11, 1e2)\n", + "plt.legend(loc='lower right')\n", + "\n", + "plt.ylabel('$f_{DM}$')\n", + "\n", + "plt.subplot(3,1,2)\n", + "for R90 in R90_values_dressed:\n", + " plt.loglog(m_arr, fdm_dict_dressed[R90], label=r'$R_{90} =$ ' + str(R90) + '$ ~R_{\\odot}$', color=color_dict[R90], linewidth=2)\n", + " plt.loglog(m_arr, fdm_dict_dressed_101[R90], color=color_dict[R90], ls='--')\n", + "\n", + "plt.text(1e-4, 5e-7, 'Dressed PBH', fontsize=18)\n", + "plt.ylabel('$f_{DM}$')\n", + "plt.ylim(1e-7, 1)\n", + "plt.xlim(1e-11, 1e2)\n", + "plt.legend(loc='lower right')\n", + "\n", + "plt.subplot(3,1,3)\n", + "\n", + "for R90 in R90_values_axion:\n", + " plt.loglog(m_arr, fdm_dict_axion[R90], label=r'$R_{90} =$ ' + str(R90) + '$ ~R_{\\odot}$', color=color_dict[R90], linewidth=2)\n", + " plt.loglog(m_arr, fdm_dict_axion_101[R90], color=color_dict[R90], ls='--')\n", + "\n", + "plt.text(1e-4, 5e-7, 'Axion Star', fontsize=18)\n", + "plot_existing_limits_axion()\n", + "plt.ylabel('$f_{DM}$')\n", + "plt.ylim(1e-7, 1)\n", + "plt.xlim(1e-11, 1e2)\n", + "plt.legend(loc='lower right')\n", + "plt.xlabel('$M_{DM} [M_{\\odot}]$')\n", + "\n", + "# plt.savefig('figures/extended_limits_all.pdf')\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Recreate Subaru" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 573, "metadata": {}, "outputs": [], "source": [ - "u_T_func(1.7)" + "# params_hsc = {\"l\": 121.2, \"b\": -21.6, \"source_dist\": 770, \"obs_time\": 7, \"cadence\": 0.07, \"n_sources\": 8.7e7, \"efficiency\": 0.7, \"A_t\": 1.34, \"survey_area\":0}\n", + "params_hsc = {\"l\": 121.2, \"b\": -21.6, \"source_dist\": 770, \"obs_time\": 7, \"cadence\": 0.033, \"n_sources\": 8.7e7, \"efficiency\": 0.5, \"A_t\": 1.34, \"survey_area\":0}" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 574, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + " 0%| | 0/3 [00:00]" + "
" ] }, "metadata": {}, "output_type": "display_data" - }, + } + ], + "source": [ + "#vdisp 220, 250 7.5 rSol NEW R90 Implementation\n", + "R90_plot_vals = [0.1, 50, 100]\n", + "for R90 in R90_plot_vals:\n", + " plt.loglog(m_arr, fdm_dict_hsc[R90]/params_hsc['efficiency'], label=r'$r_{90} =$ ' + str(R90) + '$ ~R_{\\odot}$', color=color_dict[R90])\n", + "plot_existing_limits()\n", + "plt.plot(0, 0, ls='--', color='k', label='Existing Limits')\n", + "plt.plot(0, 0, color='k', label='This Work')\n", + "plt.ylim(1e-6, 1)\n", + "plt.xlim(1e-12, 1e-3)\n", + "plt.legend()\n", + "plt.xlabel('$M_{DM} [M_{\\odot}]$')\n", + "plt.ylabel('$f_{DM}$')\n", + "plt.title('Mock HSC')\n", + "# plt.savefig('figures/extended_limits_e.pdf')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 72, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#vdisp 220, 250 7.5 rSol\n", + "r90_plot_vals = [0.1, 50, 100]\n", + "for r90 in r90_plot_vals:\n", + " plt.loglog(m_arr, fdm_dict_hsc[r90]/params_hsc['efficiency'], label=r'$r_{90} =$ ' + str(r90) + '$ ~R_{\\odot}$', color=color_dict[r90])\n", + "plot_existing_limits()\n", + "plt.plot(0, 0, ls='--', color='k', label='Existing Limits')\n", + "plt.plot(0, 0, color='k', label='This Work')\n", + "plt.ylim(1e-6, 1)\n", + "plt.xlim(1e-12, 1e-3)\n", + "plt.legend()\n", + "plt.xlabel('$M_{DM} [M_{\\odot}]$')\n", + "plt.ylabel('$f_{DM}$')\n", + "plt.title('Mock HSC')\n", + "# plt.savefig('figures/extended_limits_e.pdf')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "metadata": {}, + "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -725,8 +1374,1125 @@ } ], "source": [ - "plt.loglog(rs_arr, u_T_arr)" + "#vdisp nfw\n", + "r90_plot_vals = [0.1, 50, 100]\n", + "for r90 in r90_plot_vals:\n", + " plt.loglog(m_arr, fdm_dict_hsc[r90]/params_hsc['efficiency'], label=r'$r_{90} =$ ' + str(r90) + '$ ~R_{\\odot}$', color=color_dict[r90])\n", + "plot_existing_limits()\n", + "# plt.plot(0, 0, ls='--', color='k', label='Existing Limits')\n", + "# plt.plot(0, 0, color='k', label='This Work')\n", + "plt.ylim(1e-6, 1)\n", + "plt.xlim(1e-12, 1e-3)\n", + "plt.legend()\n", + "plt.xlabel('$M_{DM} [M_{\\odot}]$')\n", + "plt.ylabel('$f_{DM}$')\n", + "plt.title('Mock HSC')\n", + "# plt.savefig('figures/extended_limits_e.pdf')\n", + "plt.show()" ] + }, + { + "cell_type": "code", + "execution_count": 173, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "r90_plot_vals = [0.1, 50, 100]\n", + "for r90 in r90_plot_vals:\n", + " plt.loglog(m_arr, fdm_dict_hsc[r90]/params_hsc['efficiency'], label=r'$r_{90} =$ ' + str(r90) + '$ ~R_{\\odot}$', color=color_dict[r90])\n", + "plot_existing_limits()\n", + "# plt.plot(0, 0, ls='--', color='k', label='Existing Limits')\n", + "# plt.plot(0, 0, color='k', label='This Work')\n", + "plt.ylim(1e-6, 1)\n", + "plt.xlim(1e-12, 1e-3)\n", + "plt.legend()\n", + "plt.xlabel('$M_{DM} [M_{\\odot}]$')\n", + "plt.ylabel('$f_{DM}$')\n", + "plt.title('Mock HSC')\n", + "# plt.savefig('figures/extended_limits_e.pdf')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Generating Light Curves" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Functions" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "# Define the density profile of the extended lens, here an NFW profile with truncation radius 100 rs.\n", + "# Note that r90 = 69*rs for an NFW profile.\n", + "\n", + "def rhoNFW(r, r90):\n", + " rs = r90/69\n", + " if 0 < r < 100*rs:\n", + " return(((r/rs)*(1 + (r/rs))**2)**-1)\n", + " elif r >= 100*rs:\n", + " return(0)\n", + " else:\n", + " print(\"ERROR: r/r90 are not a valid non-negative float.\")\n", + "\n", + "# Define the density profile of the extended lens, here a dressed PBH profile with truncation radius 100 rs.\n", + "# Note that r90 = 86.9*rs for a dressed PBH profile.\n", + "\n", + "def rhoDressedPBH(r, r90):\n", + " rs = r90/86.9\n", + " if 0 < r < 100*rs:\n", + " return((r/rs)**-(9/4))\n", + " elif r >= 100*rs:\n", + " return(0)\n", + " else:\n", + " print(\"ERROR: r/r90 are not a valid non-negative float.\")\n", + "\n", + "# Define the density profile of the extended lens, here a sech^2 with truncation radius 20 rs.\n", + "# Note that r90 = rs/2.799 for a sech^2 profile.\n", + "\n", + "def rhoAxion(r, r90):\n", + " rs = r90/2.8 # 1710.04729 pg 11\n", + " if 0 < r < 20*rs:\n", + " return((3/(np.pi**3 * rs**3))*np.cosh(r/rs)**-1)\n", + " elif r >= 20*rs:\n", + " return(0)\n", + " else:\n", + " print(\"ERROR: r/r90 are not a valid non-negative float.\")\n", + "\n", + "# Define the density profile of the extended lens, here a sech^2 with truncation radius 20 rs.\n", + "# Note that r90 = rs/2.799 for a sech^2 profile.\n", + "\n", + "def rhoSphere(r, r90):\n", + " rs = r90/0.965\n", + " if 0 < r < rs:\n", + " return(1)\n", + " elif r >= rs:\n", + " return(0)\n", + " else:\n", + " print(\"ERROR: r/r90 are not a valid non-negative float.\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "M(rhoDressing, 0, (100/86.9)*3, 3, (100/86.9)*3)" + ] + }, + { + "cell_type": "code", + "execution_count": 160, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(array([0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1. , 1.1, 1.2, 1.3,\n", + " 1.4, 1.5, 1.6, 1.7, 1.8, 1.9, 2. , 2.1, 2.2, 2.3, 2.4, 2.5, 2.6,\n", + " 2.7, 2.8, 2.9]),\n", + " array([0.00032799, 0.00054959, 0.00074178, 0.00091618, 0.00107774,\n", + " 0.00122922, 0.00137231, 0.00150816, 0.00163761, 0.00176128,\n", + " 0.00187963, 0.00199304, 0.0021018 , 0.00220616, 0.0023063 ,\n", + " 0.00240237, 0.00249451, 0.00258281, 0.00266736, 0.00274819,\n", + " 0.00282536, 0.00289888, 0.00296875, 0.00303496, 0.00309745,\n", + " 0.00315617, 0.00321101, 0.00326187, 0.00330854]))" + ] + }, + "execution_count": 160, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "Ms(rhoDressedPBH, 3, 0, 3, 0.1, (100/86.9)*3)" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "def M(rho, va, vb, r90, rmax):\n", + " f = lambda vp, z: vp * rho(np.sqrt(vp**2 + z**2), r90)\n", + " # rmax = (100/69)*r90 # nfw\n", + " integral = dblquad(f, -rmax, rmax, va, vb)\n", + " return(integral[0])\n", + "\n", + "def Ms(rho, r90, vmin, vmax, vincrement, rmax):\n", + " \n", + " output = np.array([])\n", + " vs = np.arange(vmin, vmax, vincrement)\n", + " running_int = M(rho, 0, vmin, r90, rmax)\n", + " for i in np.arange(len(vs)-1):\n", + " this_int = M(rho, vs[i], vs[i+1], r90, rmax)\n", + " running_int += this_int\n", + " output = np.append(output, running_int)\n", + " \n", + " return((vs+vincrement)[0:-1], output)\n", + "\n", + "#Since we don't care about the actual masses, we work in ratios with respect to the total mass.\n", + "def Mratios(rho, r90, vmin, vmax, vincrement, rmax):\n", + " tab = Ms(rho, r90, vmin, vmax, vincrement, rmax)\n", + " Mtot = M(rho, 0, rmax, r90, rmax)\n", + "\n", + " if rho == rhoDressedPBH:\n", + " tab[1][:] += Mtot*0.01\n", + " Mtot = Mtot*1.01\n", + " return (r90, tab[0], tab[1]/Mtot)\n", + " return(r90, tab[0], tab[1]/Mtot)\n", + "#Here, we calculate $u$ as a function of $v$. Note that the mass-ratios also have a $v$-dependence.\n", + "def u(r90, vs, Mrats):\n", + " return(vs - vs**-1 * Mrats)\n", + "#This code checks for places in which the slope of the $u(v)$ curve flips, implying $v(u)$ is multi-valued. It then splits a given set of $u, v$ pairs into various curves corresponding to the different branches.\n", + "def signChanges(us):\n", + " # Things are safe up to this element of the array\n", + " usign = np.diff(np.sign(np.diff(us)))\n", + " flipidxs = np.nonzero(usign)[0]+1\n", + " \n", + " return(np.append(0,np.append(flipidxs, -1)))\n", + "def splitCurves(us, vs):\n", + " signchanges = signChanges(us)\n", + " \n", + " curves = []\n", + " for i in range(len(signchanges)-1):\n", + " ucurve = np.array(us[signchanges[i]:signchanges[i+1]])\n", + " vcurve = np.array(vs[signchanges[i]:signchanges[i+1]])\n", + " \n", + " curves.append(np.array([ucurve, vcurve]))\n", + " \n", + " return(curves)\n", + " \n", + "#centerdiff is a helper function for the numerical derivative we will perform to get the magnification curve.\n", + "def centerdiff(array):\n", + " return([array[i+1]-array[i-1] for i in range(1, len(array)-2)])\n", + "#This function performs a numerical derivative to calculate the value of the magnification for each $u, v$ pair, then returns a tuple of the corresponding $u$-values and $A$-values that allows one to construct $A_i(u)$ for each branch of solutions $i$.\n", + "def magnificationCurve(us, vs):\n", + " return(us[1:-2], np.abs((vs[1:-2]*centerdiff(vs))/(us[1:-2]*centerdiff(us))))" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "def totalMagnificationCurve(curves, umax, nsteps):\n", + " \n", + " # This must be a symmetric range in order to compute negative contribution correctly.\n", + " # umags = np.append(-np.flip(np.arange(ustep, umax, ustep)), np.arange(ustep, umax, ustep))\n", + " \n", + " Amags = np.array([])\n", + " umags_unsort = np.array([])\n", + " \n", + " for curve in curves:\n", + " us = curve[0]\n", + " vs = curve[1]\n", + " \n", + " u1s, A1s = magnificationCurve(us, vs)\n", + " if len(u1s) == 0:\n", + " continue\n", + " u1min = np.min(np.abs(u1s))\n", + " u1max = np.max(np.abs(u1s))\n", + " u1step = (u1max-u1min)/nsteps\n", + " # u1mags = np.append(-np.flip(np.arange(u1min, np.min([u1max, umax]), u1step)), np.arange(u1min, np.min([u1max, umax]), u1step))\n", + " u1mags = np.append(-np.flip(np.geomspace(u1min, np.min([u1max, umax]), nsteps)), np.geomspace(u1min, np.min([u1max, umax]), nsteps))\n", + " \n", + " umags_unsort = np.append(umags_unsort, u1mags)\n", + " \n", + " umags = np.sort(umags_unsort)\n", + " \n", + " loop = 0\n", + " \n", + " for curve in curves:\n", + " us = curve[0]\n", + " vs = curve[1]\n", + " \n", + " u1s, A1s = magnificationCurve(us, vs)\n", + " if len(u1s) == 0:\n", + " continue\n", + " A1mags = np.interp(umags, u1s, A1s)\n", + " A1mags[umags > np.max(u1s)] = 0\n", + " A1mags[umags < np.min(u1s)] = 0\n", + " \n", + " if loop == 0:\n", + " Amags = A1mags\n", + " else:\n", + " Amags += A1mags\n", + "\n", + " \n", + " # We must also account for the negative image branch.\n", + " Amagstotal = Amags + np.flip(Amags)\n", + " \n", + " return(umags, Amagstotal)\n", + " \n", + " " + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "def find_uT(Athresh, umags, Amags):\n", + " if np.max(Amags) < Athresh:\n", + " print(\"A always < Athresh.\")\n", + " return(0)\n", + " elif np.min(Amags) > Athresh:\n", + " print(\"A always > Athresh.\")\n", + " return(np.inf)\n", + " elif Amags[0] > Athresh:\n", + " uT = umags[np.argmax(Amags < Athresh)]\n", + " elif Amags[0] < Athresh:\n", + " uT = umags[np.argmax(Amags > Athresh)]\n", + " else:\n", + " print(\"Error in uT computation.\")\n", + " \n", + " return(uT)" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [], + "source": [ + "def GenerateMagnificationCurve(rho, r90, vmin=0.00001, vmax=6, vstep=0.001, umax=6, nusteps=1000, AT=1.34, plot=False, save=False):\n", + " \n", + " if rho == rhoNFW:\n", + " rmax = (100/69)*r90\n", + " elif rho == rhoDressedPBH:\n", + " rmax = (100/86.9)*r90\n", + " elif rho == rhoAxion:\n", + " rmax = (20/2.8)*r90\n", + " elif rho == rhoSphere:\n", + " rmax = r90/0.965\n", + " else:\n", + " print(\"Invalid choice of profile. Exiting.\")\n", + " return()\n", + " \n", + " r90, vs, Mrats = Mratios(rho, r90, vmin, vmax, vstep, rmax)\n", + " us = u(r90, vs, Mrats)\n", + " curves = splitCurves(us, vs)\n", + " # print(\"There is/are \"+str(len(curves))+\" positive branch(es).\") \n", + " \n", + " if plot:\n", + " fig, ax = plt.subplots(2, 1, figsize=(6,6))\n", + " \n", + " color = iter(plt.cm.rainbow(np.linspace(0, 1, len(curves))))\n", + " for curve in curves:\n", + " c = next(color)\n", + " ax[0].plot(curve[0], curve[1], c=c)\n", + " ax[0].plot(-np.flip(curve[0]), -np.flip(curve[1]), c=c)\n", + " ax[0].set_ylim([-2, 2])\n", + " ax[0].set_xlabel('u')\n", + " ax[0].set_ylabel('v')\n", + " \n", + " umags, Amags = totalMagnificationCurve(curves, umax, nusteps)\n", + "\n", + " uT = find_uT(AT, umags, Amags)\n", + " # uT = find_uT(1.01, umags, Amags)\n", + "\n", + " print(\"u_T = \"+str(np.abs(uT)))\n", + " \n", + " # Save output\n", + " # np.save(rho.__name__+\"_r90=\"+str(r90)+\".npy\", np.array([umags, Amags]))\n", + " if save:\n", + " np.save('r90_data/'+rho.__name__+\"_r90=\"+str(r90)+\".npy\", np.array([umags, Amags]))\n", + "\n", + " if plot:\n", + " ax[1].scatter(umags, Amags, s=1)\n", + " plt.yscale('log')\n", + " # plt.xscale('log')\n", + "\n", + " ax[1].set_xlim([-4,4])\n", + " ax[1].set_ylim([0.9, 10])\n", + " ax[1].plot([-15,15], [1.34, 1.34])\n", + " # ax[1].plot([-15,15], [1.01, 1.01], ls='--', color='k')\n", + "\n", + " ax[1].set_xlabel('u')\n", + " ax[1].set_ylabel('A')\n", + " \n", + " # return(umags, Amags)" + ] + }, + { + "cell_type": "code", + "execution_count": 211, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "u_T = 0.5193024134463815\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#w/o pbh\n", + "GenerateMagnificationCurve(rhoDressedPBH, 10, vmin=0.00001, vmax=6, vstep=0.001, umax=6, nusteps=1000, AT=1.34, plot=True, save=False)" + ] + }, + { + "cell_type": "code", + "execution_count": 212, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "u_T = 0.9922123046508637\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#w/o pbh\n", + "GenerateMagnificationCurve(rhoDressedPBH, 0.1, vmin=0.00001, vmax=6, vstep=0.001, umax=6, nusteps=1000, AT=1.34, plot=True, save=False)" + ] + }, + { + "cell_type": "code", + "execution_count": 217, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "u_T = 0.9891213748754543\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#w pbh\n", + "GenerateMagnificationCurve(rhoDressedPBH, 0.1, vmin=0.00001, vmax=6, vstep=0.001, umax=6, nusteps=1000, AT=1.34, plot=True, save=False)" + ] + }, + { + "cell_type": "code", + "execution_count": 218, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "u_T = 0.5393646180148642\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#w pbh\n", + "GenerateMagnificationCurve(rhoDressedPBH, 10, vmin=0.00001, vmax=6, vstep=0.001, umax=6, nusteps=1000, AT=1.34, plot=True, save=False)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Generation" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [], + "source": [ + "r90_vals_dressed = np.round(np.logspace(-1, np.log10(300), 50),2)\n", + "r90_vals_nfw = np.round(np.logspace(-1, np.log10(1000), 50),2)\n", + "r90_vals_axion = np.round(np.logspace(-1, np.log10(40), 50),2)\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "def generate_wrapper_nfw(r90):\n", + " GenerateMagnificationCurve(rhoNFW, r90, vstep=0.0005, save=True, nusteps=1000)\n", + "\n", + "with Pool() as pool:\n", + " for _ in tqdm(pool.imap(generate_wrapper_nfw, r90_vals_nfw), total=len(r90_vals_nfw)):\n", + " pass" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# for r90 in tqdm(r90_vals_nfw):\n", + "# GenerateMagnificationCurve(rhoNFW, r90, vstep=0.0005, save=True, nusteps=1000)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "def generate_wrapper_dressed(r90):\n", + " GenerateMagnificationCurve(rhoDressedPBH, r90, vstep=0.0005, save=True, nusteps=1000)\n", + "\n", + "with Pool() as pool:\n", + " list(tqdm(pool.map(generate_wrapper_dressed, r90_vals_dressed), total=len(r90_vals_dressed)))" + ] + }, + { + "cell_type": "code", + "execution_count": 1589, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 50/50 [00:00<00:00, 635500.61it/s]\n" + ] + } + ], + "source": [ + "# for r90 in tqdm(r90_vals_dressed):\n", + "# GenerateMagnificationCurve(rhoDressedPBH, r90, vstep=0.0005, save=True, nusteps=1000)" + ] + }, + { + "cell_type": "code", + "execution_count": 1595, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 50/50 [00:00<00:00, 373823.89it/s]\n" + ] + } + ], + "source": [ + "def generate_wrapper_axion(r90):\n", + " GenerateMagnificationCurve(rhoAxion, r90, vstep=0.0005, save=True, nusteps=1000)\n", + "\n", + "with Pool() as pool:\n", + " list(tqdm(pool.map(generate_wrapper_axion, r90_vals_axion), total=len(r90_vals_axion)))" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + " 96%|█████████▌| 48/50 [37:50<02:53, 86.64s/it]" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "A always < Athresh.\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + " 98%|█████████▊| 49/50 [39:25<01:28, 88.98s/it]" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "A always < Athresh.\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 50/50 [41:05<00:00, 49.30s/it]" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "A always < Athresh.\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "\n" + ] + } + ], + "source": [ + "# for r90 in tqdm(r90_vals_axion):\n", + "# GenerateMagnificationCurve(rhoAxion, r90, vstep=0.0005, save=True, nusteps=1000)" + ] + }, + { + "cell_type": "code", + "execution_count": 86, + "metadata": {}, + "outputs": [], + "source": [ + "def create_functions_from_file(file_path):\n", + " data = np.load(file_path)\n", + " mag_interp = interp1d(data[0, :].flatten(), data[1, :].flatten(), kind='linear')\n", + " umax = mag_interp.x[-1]\n", + " umin = min(abs(mag_interp.x))\n", + "\n", + " def mag_wrapper(u):\n", + " if u >= umax:\n", + " return 1\n", + " elif u <= -1*umax:\n", + " return 1\n", + " elif abs(u) < abs(umin):\n", + " return mag_interp(umin)\n", + " elif mag_interp(u)<1:\n", + " return 1\n", + " return mag_interp(u)\n", + "\n", + " def integrand_polar_fl(r, theta, u):\n", + " x = r * np.cos(theta)\n", + " y = r * np.sin(theta)\n", + " return mag_wrapper(displacement(x, y, u)) * r\n", + "\n", + " def magnification_fl(u, rho):\n", + " integrand = lambda r, theta: integrand_polar_fl(r, theta, u)\n", + "\n", + " result, _ = nquad(integrand, [[0, rho], [0, 2 * np.pi]], opts={'epsabs':0, 'epsrel':1e-1})\n", + " return result / (np.pi * rho**2)\n", + "\n", + " def u_t_fl(rho, A_thresh=1.34):\n", + " #! Starting from 0 where do you first drop below threshold? Make sure caustics arent defining time\n", + " func = lambda u: magnification_fl(u, rho) - A_thresh\n", + " u_min = 0\n", + " u_max = 15\n", + "\n", + " try:\n", + " return brentq(func, u_min, u_max)\n", + " except ValueError:\n", + " return 0\n", + "\n", + " return magnification_fl, u_t_fl" + ] + }, + { + "cell_type": "code", + "execution_count": 87, + "metadata": {}, + "outputs": [], + "source": [ + "magnification_fl_dict_nfw = {}\n", + "u_t_fl_dict_nfw = {}\n", + "\n", + "for r90 in r90_vals_nfw:\n", + " file_path = f'r90_data/rhoNFW_r90={r90}.npy'\n", + " magnification_fl, u_t_fl = create_functions_from_file(file_path)\n", + " magnification_fl_dict_nfw[r90] = magnification_fl\n", + " u_t_fl_dict_nfw[r90] = u_t_fl\n", + "\n", + "magnification_fl_dict_dressed = {}\n", + "u_t_fl_dict_dressed = {}\n", + "\n", + "for r90 in r90_vals_dressed:\n", + " file_path = f'r90_data/rhoDressedPBH_r90={r90}.npy'\n", + " magnification_fl, u_t_fl = create_functions_from_file(file_path)\n", + " magnification_fl_dict_dressed[r90] = magnification_fl\n", + " u_t_fl_dict_dressed[r90] = u_t_fl\n", + "\n", + "magnification_fl_dict_axion = {}\n", + "u_t_fl_dict_axion = {}\n", + "\n", + "for r90 in r90_vals_axion:\n", + " file_path = f'r90_data/rhoAxion_r90={r90}.npy'\n", + " magnification_fl, u_t_fl = create_functions_from_file(file_path)\n", + " magnification_fl_dict_axion[r90] = magnification_fl\n", + " u_t_fl_dict_axion[r90] = u_t_fl" + ] + }, + { + "cell_type": "code", + "execution_count": 94, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 50/50 [03:09<00:00, 3.80s/it]\n", + "100%|██████████| 50/50 [03:56<00:00, 4.73s/it]\n" + ] + } + ], + "source": [ + "rho_arr = np.logspace(-1, np.log10(4), 50)\n", + "\n", + "# u_T_interp_funcs_nfw = {}\n", + "\n", + "# # Compute u_T arrays and create interpolating functions\n", + "# for r90, u_t_fl in tqdm(u_t_fl_dict_nfw.items()):\n", + "# func = partial(u_t_fl, A_thresh=1.34)\n", + "# with Pool() as pool:\n", + "# u_T_arr = np.array(list(pool.map(func, rho_arr)))\n", + "# u_T_interp_funcs_nfw[r90] = interp1d(rho_arr, u_T_arr, kind='linear')\n", + "\n", + "# u_T_interp_funcs_dressed = {}\n", + "\n", + "# for r90, u_t_fl in tqdm(u_t_fl_dict_dressed.items()):\n", + "# func = partial(u_t_fl, A_thresh=1.34)\n", + "# with Pool() as pool:\n", + "# u_T_arr = np.array(list(pool.map(func, rho_arr)))\n", + "# u_T_interp_funcs_dressed[r90] = interp1d(rho_arr, u_T_arr, kind='linear')\n", + "\n", + "# u_T_interp_funcs_axion = {}\n", + "\n", + "# for r90, u_t_fl in tqdm(u_t_fl_dict_axion.items()):\n", + "# func = partial(u_t_fl, A_thresh=1.34)\n", + "# with Pool() as pool:\n", + "# u_T_arr = np.array(list(pool.map(func, rho_arr)))\n", + "# u_T_interp_funcs_axion[r90] = interp1d(rho_arr, u_T_arr, kind='linear')\n", + "\n", + "rho_arr_101 = np.logspace(-1, np.log10(15), 50)\n", + "# u_T_interp_funcs_nfw_101 = {}\n", + "\n", + "# for r90, u_t_fl in tqdm(u_t_fl_dict_nfw.items()):\n", + "# func = partial(u_t_fl, A_thresh=1.01)\n", + "# with Pool() as pool:\n", + "# u_T_arr = np.array(list(pool.map(func, rho_arr_101)))\n", + "# u_T_interp_funcs_nfw_101[r90] = interp1d(rho_arr_101, u_T_arr, kind='linear')\n", + "\n", + "u_T_interp_funcs_dressed_101 = {}\n", + "\n", + "for r90, u_t_fl in tqdm(u_t_fl_dict_dressed.items()):\n", + " func = partial(u_t_fl, A_thresh=1.01)\n", + " with Pool() as pool:\n", + " u_T_arr = np.array(list(pool.map(func, rho_arr_101)))\n", + " u_T_interp_funcs_dressed_101[r90] = interp1d(rho_arr_101, u_T_arr, kind='linear')\n", + "\n", + "u_T_interp_funcs_axion_101 = {}\n", + "\n", + "for r90, u_t_fl in tqdm(u_t_fl_dict_axion.items()):\n", + " func = partial(u_t_fl, A_thresh=1.01)\n", + " with Pool() as pool:\n", + " u_T_arr = np.array(list(pool.map(func, rho_arr_101)))\n", + " u_T_interp_funcs_axion_101[r90] = interp1d(rho_arr_101, u_T_arr, kind='linear')\n", + "\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 91, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#new\n", + "u_T_values_nfw_101 = np.zeros((len(rho_arr_101), len(r90_vals_nfw)))\n", + "\n", + "for i, r90 in enumerate(r90_vals_nfw):\n", + " for j, rho in enumerate(rho_arr_101):\n", + " u_T_values_nfw_101[j, i] = u_T_interp_funcs_nfw_101[r90](rho)\n", + "\n", + "# Creating the contour plot\n", + "X, Y = np.meshgrid(r90_vals_nfw, rho_arr_101)\n", + "plt.contourf(X, Y, u_T_values_nfw_101, levels=20, cmap='viridis')\n", + "plt.colorbar(label='u_T')\n", + "plt.xscale('log')\n", + "plt.xlabel(r'$r_{90}$')\n", + "plt.ylabel(r'$\\rho$')\n", + "plt.title('NFW Subhalo A_T = 1.01')\n", + "plt.ylim(0,15)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 1566, + "metadata": {}, + "outputs": [], + "source": [ + "uT_interp_nfw_101 = RegularGridInterpolator((rho_arr_101, r90_vals_nfw), u_T_values_nfw_101)" + ] + }, + { + "cell_type": "code", + "execution_count": 94, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "u_T_values_nfw = np.zeros((len(rho_arr), len(r90_vals_nfw)))\n", + "\n", + "for i, r90 in enumerate(r90_vals_nfw):\n", + " for j, rho in enumerate(rho_arr):\n", + " u_T_values_nfw[j, i] = u_T_interp_funcs_nfw[r90](rho)\n", + "\n", + "# Creating the contour plot\n", + "X, Y = np.meshgrid(r90_vals_nfw, rho_arr)\n", + "plt.contourf(X, Y, u_T_values_nfw, levels=20, cmap='viridis')\n", + "plt.colorbar(label='u_T')\n", + "plt.xscale('log')\n", + "plt.xlabel(r'$r_{90}$')\n", + "plt.ylabel(r'$\\rho$')\n", + "plt.title('NFW Subhalo')\n", + "plt.ylim(0,3)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 97, + "metadata": {}, + "outputs": [], + "source": [ + "#make 2d interpolation function for u_T\n", + "uT_interp_nfw = RegularGridInterpolator((rho_arr, r90_vals_nfw), u_T_values_nfw)" + ] + }, + { + "cell_type": "code", + "execution_count": 1614, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "u_T_values_axion = np.zeros((len(rho_arr), len(r90_vals_axion)))\n", + "\n", + "for i, r90 in enumerate(r90_vals_axion):\n", + " for j, rho in enumerate(rho_arr):\n", + " u_T_values_axion[j, i] = u_T_interp_funcs_axion[r90](rho)\n", + "\n", + "# Creating the contour plot\n", + "X, Y = np.meshgrid(r90_vals_axion, rho_arr)\n", + "plt.contourf(X, Y, u_T_values_axion, levels=20, cmap='viridis')\n", + "plt.colorbar(label='u_T')\n", + "# plt.xscale('log')\n", + "plt.xlabel(r'$r_{90}$')\n", + "plt.ylabel(r'$\\rho$')\n", + "plt.title('Axion Star')\n", + "plt.ylim(0,3)\n", + "plt.xlim(0,4)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 1610, + "metadata": {}, + "outputs": [], + "source": [ + "uT_interp_axion = RegularGridInterpolator((rho_arr, r90_vals_axion), u_T_values_axion)" + ] + }, + { + "cell_type": "code", + "execution_count": 100, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "u_T_values_axion_101 = np.zeros((len(rho_arr_101), len(r90_vals_axion)))\n", + "\n", + "for i, r90 in enumerate(r90_vals_axion):\n", + " for j, rho in enumerate(rho_arr_101):\n", + " u_T_values_axion_101[j, i] = u_T_interp_funcs_axion_101[r90](rho)\n", + " \n", + "# Creating the contour plot\n", + "X, Y = np.meshgrid(r90_vals_axion, rho_arr_101)\n", + "plt.contourf(X, Y, u_T_values_axion_101, levels=20, cmap='viridis')\n", + "plt.colorbar(label='u_T')\n", + "# plt.xscale('log')\n", + "plt.xlabel(r'$r_{90}$')\n", + "plt.ylabel(r'$\\rho$')\n", + "plt.title('Axion Star A_T = 1.01')\n", + "plt.ylim(0,15)\n", + "plt.xlim(0,10)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 101, + "metadata": {}, + "outputs": [], + "source": [ + "uT_interp_axion_101 = RegularGridInterpolator((rho_arr_101, r90_vals_axion), u_T_values_axion_101)" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#w central pbh\n", + "u_T_values_dressed = np.zeros((len(rho_arr), len(r90_vals_dressed)))\n", + "\n", + "for i, r90 in enumerate(r90_vals_dressed):\n", + " for j, rho in enumerate(rho_arr):\n", + " u_T_values_dressed[j, i] = u_T_interp_funcs_dressed[r90](rho)\n", + "\n", + "# Creating the contour plot\n", + "X, Y = np.meshgrid(r90_vals_dressed, rho_arr)\n", + "plt.contourf(X, Y, u_T_values_dressed, levels=10, cmap='viridis')\n", + "plt.colorbar(label='u_T')\n", + "plt.xscale('log')\n", + "plt.xlabel(r'$r_{90}$')\n", + "plt.ylabel(r'$\\rho$')\n", + "plt.title('Dressed PBH')\n", + "plt.ylim(0,3)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 102, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "u_T_values_dressed_101 = np.zeros((len(rho_arr_101), len(r90_vals_dressed)))\n", + "\n", + "for i, r90 in enumerate(r90_vals_dressed):\n", + " for j, rho in enumerate(rho_arr_101):\n", + " u_T_values_dressed_101[j, i] = u_T_interp_funcs_dressed_101[r90](rho)\n", + "\n", + "X, Y = np.meshgrid(r90_vals_dressed, rho_arr_101)\n", + "plt.contourf(X, Y, u_T_values_dressed_101, levels=20, cmap='viridis')\n", + "plt.colorbar(label='u_T')\n", + "plt.xscale('log')\n", + "plt.xlabel(r'$r_{90}$')\n", + "plt.ylabel(r'$\\rho$')\n", + "plt.title('Dressed PBH A_T = 1.01')\n", + "plt.ylim(0,15)\n", + "plt.xlim(1e-1,1e2)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 1611, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "u_T_values_dressed = np.zeros((len(rho_arr), len(r90_vals_dressed)))\n", + "\n", + "for i, r90 in enumerate(r90_vals_dressed):\n", + " for j, rho in enumerate(rho_arr):\n", + " u_T_values_dressed[j, i] = u_T_interp_funcs_dressed[r90](rho)\n", + "\n", + "# Creating the contour plot\n", + "X, Y = np.meshgrid(r90_vals_dressed, rho_arr)\n", + "plt.contourf(X, Y, u_T_values_dressed, levels=10, cmap='viridis')\n", + "plt.colorbar(label='u_T')\n", + "plt.xscale('log')\n", + "plt.xlabel(r'$r_{90}$')\n", + "plt.ylabel(r'$\\rho$')\n", + "plt.title('Dressed PBH')\n", + "plt.ylim(0,3)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 103, + "metadata": {}, + "outputs": [], + "source": [ + "uT_interp_dressed_101 = RegularGridInterpolator((rho_arr_101, r90_vals_dressed), u_T_values_dressed_101)" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [], + "source": [ + "uT_interp_dressed = RegularGridInterpolator((rho_arr, r90_vals_dressed), u_T_values_dressed)" + ] + }, + { + "cell_type": "code", + "execution_count": 104, + "metadata": {}, + "outputs": [], + "source": [ + "# with open('../LensCalcPy/interpolations/ut_interp_nfw.pkl', 'wb') as f:\n", + "# pickle.dump(uT_interp_nfw, f)\n", + "\n", + "# with open('../LensCalcPy/interpolations/ut_interp_nfw_101.pkl', 'wb') as f:\n", + "# pickle.dump(uT_interp_nfw_101, f)\n", + "\n", + "# with open('../LensCalcPy/interpolations/ut_interp_axion.pkl', 'wb') as f:\n", + "# pickle.dump(uT_interp_axion, f)\n", + "\n", + "# with open('../LensCalcPy/interpolations/ut_interp_axion_101.pkl', 'wb') as f:\n", + "# pickle.dump(uT_interp_axion_101, f)\n", + "\n", + "# with open('../LensCalcPy/interpolations/ut_interp_dressed.pkl', 'wb') as f:\n", + "# pickle.dump(uT_interp_dressed, f)\n", + "\n", + "# with open('../LensCalcPy/interpolations/ut_interp_dressed_101.pkl', 'wb') as f:\n", + "# pickle.dump(uT_interp_dressed_101, f)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] } ], "metadata": { diff --git a/examples/extended_lenses.ipynb b/examples/extended_lenses.ipynb new file mode 100644 index 0000000..9d9e6e9 --- /dev/null +++ b/examples/extended_lenses.ipynb @@ -0,0 +1,1597 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "e6a8a3eb-8d9f-4db4-a1fa-a13a460ae94e", + "metadata": {}, + "source": [ + "

Extended Lens Functionality

\n", + "\n", + "The below code uses the analysis methodology of https://arxiv.org/abs/2002.08962 to compute the magnification curve associated with an extended lens given by some mass profile $\\rho(r)$ with compactness specified by $r_{90}$, the radius in which $90\\%$ of the mass is enclosed.\n", + "\n", + "To do this, it solves the lensing equation $\\beta = \\theta - \\frac{\\theta_E^2}{\\theta}\\frac{M(\\theta)}{M}$. This equation is in terms of angles, however it can be recast in a dimensionless form for transverse radial distances in the plane of the lens. These coordinates are $u$, the impact parameter measured in $r_E$ in the plane of the lens, and $v$, the image location in units of $r_E$ in the plane of the lens. The equation then becomes $u = v - \\frac{1}{v}\\frac{M(v)}{M_{tot}}$ where any overall normalization of the mass function cancels in the ratio.\n", + "\n", + "Given an impact parameter $u$, this equation can be solved numerically to yield a corresponding image location $v$. The magnification is then given by $A = |\\frac{\\theta}{\\beta}\\frac{d\\theta}{d\\beta}| = |\\frac{v}{u}\\frac{dv}{du}|$. Hence, having solved for $v$ as a function of $u$, one can compute the curve $A(u)$.\n", + "\n", + "There is a nuance in this analysis, however, which is that often $v(u)$ is not a single-valued function. Multiple images can be produced, hence the $v(u)$ curve must be split along its branches and the magnification must be computed for each image, then each of these magnifications summed to yield the total magnification." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "81192172-53c7-46b3-ba29-ebd52d790564", + "metadata": {}, + "outputs": [], + "source": [ + "# Import necessary packages\n", + "\n", + "import numpy as np\n", + "from scipy import integrate\n", + "import matplotlib.pyplot as plt" + ] + }, + { + "cell_type": "markdown", + "id": "a8622d79-656f-438f-b2a6-9b0c8d8c9cf3", + "metadata": {}, + "source": [ + "We use an NFW profile as a test case.\n", + "\n", + "$\\rho(r, \\rho_s, r_s) = \\frac{\\rho_s}{(r/r_s)(1+(r/r_s))^2}$" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "67178337-b630-4b7f-ac86-3a882c279009", + "metadata": {}, + "outputs": [], + "source": [ + "# Define the density profile of the extended lens, here an NFW profile with truncation radius 100 rs.\n", + "# Note that r90 = 69*rs for an NFW profile.\n", + "\n", + "def rho(r, r90):\n", + " rs = r90/69\n", + " if 0 < r < 100*rs:\n", + " return(((r/rs)*(1 + (r/rs))**2)**-1)\n", + " elif r >= 100*rs:\n", + " return(0)\n", + " else:\n", + " print(\"ERROR: r/r90 are not a valid non-negative float.\")" + ] + }, + { + "cell_type": "markdown", + "id": "09e83481-e8fa-470c-8041-3aa86a172679", + "metadata": {}, + "source": [ + "The following functions compute the projected mass between two radial locations in the plane of the lens $v_a$ and $v_b$. This allows us to perform a much faster integral by saving the integration value for a previous $v$ and simply adding on the next interval." + ] + }, + { + "cell_type": "code", + "execution_count": 611, + "id": "5aae9143-e933-4dfb-9641-1797057cdd8e", + "metadata": {}, + "outputs": [], + "source": [ + "def M(va, vb, r90):\n", + " f = lambda vp, z: vp * rho(np.sqrt(vp**2 + z**2), r90)\n", + " integral = integrate.dblquad(f, -np.inf, np.inf, va, vb)\n", + " return(integral[0])" + ] + }, + { + "cell_type": "code", + "execution_count": 618, + "id": "0536cb4d-03e7-42aa-a247-b7646fef5723", + "metadata": {}, + "outputs": [], + "source": [ + "def M(va, vb, r90):\n", + " f = lambda vp, z: vp * rho(np.sqrt(vp**2 + z**2), r90)\n", + " rmax = (100/69)*r90\n", + " integral = integrate.dblquad(f, -rmax, rmax, va, vb)\n", + " return(integral[0])" + ] + }, + { + "cell_type": "markdown", + "id": "0b7ef16a-0e43-444e-b3ee-3ccf476377a0", + "metadata": {}, + "source": [ + "The function \"Ms\" returns a tuple of the $v$-values used in the analysis (between $v_\\text{min}$ and $v_\\text{max}$) and their corresponding $M(v)$." + ] + }, + { + "cell_type": "code", + "execution_count": 634, + "id": "e031aa94-33ed-4256-af1d-2f18d0fb5bd0", + "metadata": {}, + "outputs": [], + "source": [ + "def Ms(r90, vmin, vmax, vincrement):\n", + " \n", + " output = np.array([])\n", + " vs = np.arange(vmin, vmax, vincrement)\n", + " running_int = M(0, vmin, r90)\n", + " for i in np.arange(len(vs)-1):\n", + " this_int = M(vs[i], vs[i+1], r90)\n", + " running_int += this_int\n", + " output = np.append(output, running_int)\n", + " \n", + " return((vs+vincrement)[0:-1], output)" + ] + }, + { + "cell_type": "markdown", + "id": "851e3d6d-fb1b-43fa-9165-d99f5860be57", + "metadata": {}, + "source": [ + "Since we don't care about the actual masses, we work in ratios with respect to the total mass." + ] + }, + { + "cell_type": "code", + "execution_count": 632, + "id": "9af3d95e-5672-42b7-bb4b-69f8f481db47", + "metadata": {}, + "outputs": [], + "source": [ + "def Mratios(r90, vmin, vmax, vincrement):\n", + " tab = Ms(r90, vmin, vmax, vincrement)\n", + " rmax = (100/69)*r90\n", + " Mtot = M(0, rmax, r90)\n", + " return(r90, tab[0], tab[1]/Mtot)" + ] + }, + { + "cell_type": "markdown", + "id": "0c8cc3fc-7255-4ae7-8c52-341406062e25", + "metadata": {}, + "source": [ + "Here, we calculate $u$ as a function of $v$. Note that the mass-ratios also have a $v$-dependence." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "94234171-fe12-4a5d-b291-210b5a6efed5", + "metadata": {}, + "outputs": [], + "source": [ + "def u(r90, vs, Mrats):\n", + " return(vs - vs**-1 * Mrats)" + ] + }, + { + "cell_type": "markdown", + "id": "65a5e7f0-b372-4c3c-b1e4-bd84f5701800", + "metadata": {}, + "source": [ + "This code checks for places in which the slope of the $u(v)$ curve flips, implying $v(u)$ is multi-valued. It then splits a given set of $u, v$ pairs into various curves corresponding to the different branches." + ] + }, + { + "cell_type": "code", + "execution_count": 118, + "id": "f76dad3a-0d5d-4197-866e-101247a677fc", + "metadata": {}, + "outputs": [], + "source": [ + "def signChanges(us):\n", + " # Things are safe up to this element of the array\n", + " usign = np.diff(np.sign(np.diff(us)))\n", + " flipidxs = np.nonzero(usign)[0]+1\n", + " \n", + " return(np.append(0,np.append(flipidxs, -1)))" + ] + }, + { + "cell_type": "code", + "execution_count": 117, + "id": "28dc13be-4bae-4c27-96e5-c22ab6ddb244", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0, 8, -1])" + ] + }, + "execution_count": 117, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "signChanges(us)" + ] + }, + { + "cell_type": "code", + "execution_count": 119, + "id": "8204f609-c713-457d-b243-78f4e0d55db5", + "metadata": {}, + "outputs": [], + "source": [ + "def splitCurves(us, vs):\n", + " signchanges = signChanges(us)\n", + " \n", + " curves = []\n", + " for i in range(len(signchanges)-1):\n", + " ucurve = np.array(us[signchanges[i]:signchanges[i+1]])\n", + " vcurve = np.array(vs[signchanges[i]:signchanges[i+1]])\n", + " \n", + " curves.append(np.array([ucurve, vcurve]))\n", + " \n", + " return(curves)\n", + " " + ] + }, + { + "cell_type": "markdown", + "id": "880089d0-51cb-48eb-8466-d726da85aed3", + "metadata": {}, + "source": [ + "centerdiff is a helper function for the numerical derivative we will perform to get the magnification curve." + ] + }, + { + "cell_type": "code", + "execution_count": 120, + "id": "d32e5e80-e41f-4c3b-8078-91f98e15ae9d", + "metadata": {}, + "outputs": [], + "source": [ + "def centerdiff(array):\n", + " return([array[i+1]-array[i-1] for i in range(1, len(array)-2)])" + ] + }, + { + "cell_type": "markdown", + "id": "6fd22af0-b7d7-42cf-9332-bbf508456e9d", + "metadata": {}, + "source": [ + "This function performs a numerical derivative to calculate the value of the magnification for each $u, v$ pair, then returns a tuple of the corresponding $u$-values and $A$-values that allows one to construct $A_i(u)$ for each branch of solutions $i$." + ] + }, + { + "cell_type": "code", + "execution_count": 121, + "id": "e48f7181-b58b-4dfe-9b12-b4c8fd704f91", + "metadata": {}, + "outputs": [], + "source": [ + "def magnificationCurve(us, vs):\n", + " return(us[1:-2], np.abs((vs[1:-2]*centerdiff(vs))/(us[1:-2]*centerdiff(us))))" + ] + }, + { + "cell_type": "markdown", + "id": "6b2d3b6a-7401-40f4-a329-7dcf87faee8a", + "metadata": {}, + "source": [ + "Here, we compute the magnification curve for each branch of the solution at the $u$-values given by umags by interpolating each curve to these values. We also include the branches corresponding to $u, v \\rightarrow -u, -v$. We then sum all of the results. This yields $A_\\text{tot}$." + ] + }, + { + "cell_type": "code", + "execution_count": 340, + "id": "41fd990d-cdd1-4e6f-ad6f-53d85013cb54", + "metadata": {}, + "outputs": [], + "source": [ + "def totalMagnificationCurve(curves, umax, ustep):\n", + " \n", + " # This must be a symmetric range in order to compute negative contribution correctly.\n", + " umags = np.append(-np.flip(np.arange(ustep, umax, ustep)), np.arange(ustep, umax, ustep))\n", + " \n", + " Amags = np.zeros([len(umags)])\n", + " \n", + " for curve in curves:\n", + " us = curve[0]\n", + " vs = curve[1]\n", + " \n", + " u1s, A1s = magnificationCurve(us, vs)\n", + " \n", + " Amags += np.interp(umags, u1s, A1s)\n", + " if np.max(umags) > np.max(u1s) or np.min(np.abs(umags)) < np.min(u1s):\n", + " print(\"Leaving range of safe interpolation.\")\n", + " Amags[umags > np.max(u1s)] = 0\n", + " Amags[umags < np.min(u1s)] = 0\n", + " \n", + " # We must also account for the negative image branch.\n", + " Amagstotal = Amags + np.flip(Amags)\n", + " \n", + " return(umags, Amagstotal)\n", + " \n", + " " + ] + }, + { + "cell_type": "markdown", + "id": "33088d82-ac4b-4fd0-9ba3-239984d02df4", + "metadata": {}, + "source": [ + "This finds the first time the magnification drops below some threshold, hence yields $u_T$." + ] + }, + { + "cell_type": "code", + "execution_count": 160, + "id": "cb202148-05e7-47e7-a598-fc71fb809123", + "metadata": {}, + "outputs": [], + "source": [ + "def find_uT(Athresh, umags, Amags):\n", + " if np.max(Amags) < Athresh:\n", + " print(\"A always < Athresh.\")\n", + " return(0)\n", + " elif np.min(Amags) > Athresh:\n", + " print(\"A always > Athresh.\")\n", + " return(np.inf)\n", + " elif Amags[0] > Athresh:\n", + " uT = umags[np.argmax(Amags < Athresh)]\n", + " elif Amags[0] < Athresh:\n", + " uT = umags[np.argmax(Amags > Athresh)]\n", + " else:\n", + " print(\"Error in uT computation.\")\n", + " \n", + " return(uT)" + ] + }, + { + "cell_type": "markdown", + "id": "88eed1b8-c20d-452f-8b73-eb476ea23a0c", + "metadata": {}, + "source": [ + "Finally, we can capture this as a single function if we want to just compute A(u) on the fly." + ] + }, + { + "cell_type": "code", + "execution_count": 663, + "id": "78477986-db85-4cea-aa5b-260a7b2f52d4", + "metadata": {}, + "outputs": [], + "source": [ + "def GenerateMagnificationCurve(r90, vmin=0.001, vmax=5, vstep=0.005, umax=4, ustep=0.01, AT=1.34):\n", + " r90, vs, Mrats = Mratios(r90, vmin, vmax, vstep)\n", + " us = u(r90, vs, Mrats)\n", + " curves = splitCurves(us, vs)\n", + " print(\"There is/are \"+str(len(curves))+\" positive branch(es).\")\n", + " \n", + " umags, Amags = totalMagnificationCurve(curves, umax, ustep)\n", + " uT = find_uT(AT, umags, Amags)\n", + " \n", + " print(\"u_T = \"+str(np.abs(uT)))\n", + " \n", + " return(umags, Amags)" + ] + }, + { + "cell_type": "markdown", + "id": "c99a911f-cddd-45b9-bc2c-e5f5d9ca62f5", + "metadata": { + "tags": [] + }, + "source": [ + "

Example usage

" + ] + }, + { + "cell_type": "markdown", + "id": "92f3dbb1-00b8-4898-acfc-20d3f1cd714c", + "metadata": {}, + "source": [ + "A basic example." + ] + }, + { + "cell_type": "code", + "execution_count": 699, + "id": "66d66b65-91c8-4e17-991d-c08b581d64f2", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "There is/are 2 positive branch(es).\n", + "Leaving range of safe interpolation.\n", + "u_T = 0.6\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/usr/local/lib/python3.9/site-packages/scipy/integrate/_quadpack_py.py:879: IntegrationWarning: The maximum number of subdivisions (50) has been achieved.\n", + " If increasing the limit yields no improvement it is advised to analyze \n", + " the integrand in order to determine the difficulties. If the position of a \n", + " local difficulty can be determined (singularity, discontinuity) one will \n", + " probably gain from splitting up the interval and calling the integrator \n", + " on the subranges. Perhaps a special-purpose integrator should be used.\n", + " quad_r = quad(f, low, high, args=args, full_output=self.full_output,\n" + ] + } + ], + "source": [ + "umags, Amags = GenerateMagnificationCurve(20)" + ] + }, + { + "cell_type": "code", + "execution_count": 703, + "id": "b15d1ff1-1bcc-4075-a15d-3321ec9ce0b5", + "metadata": {}, + "outputs": [], + "source": [ + "np.save(\"r90=20.npy\", np.array([umags, Amags]))" + ] + }, + { + "cell_type": "markdown", + "id": "dca87781-b4bc-43c7-9ac8-eae2d8e93a90", + "metadata": {}, + "source": [ + "A case that requires finer resolution." + ] + }, + { + "cell_type": "code", + "execution_count": 705, + "id": "656aaabd-09b7-444d-a932-88c79ed4e934", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/usr/local/lib/python3.9/site-packages/scipy/integrate/_quadpack_py.py:879: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", + " quad_r = quad(f, low, high, args=args, full_output=self.full_output,\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "There is/are 2 positive branch(es).\n", + "Leaving range of safe interpolation.\n", + "u_T = 1.0\n" + ] + } + ], + "source": [ + "umags, Amags = GenerateMagnificationCurve(1,vstep=0.0001)" + ] + }, + { + "cell_type": "code", + "execution_count": 706, + "id": "bdfb1379-b117-4da4-948b-4715d87a8e43", + "metadata": {}, + "outputs": [], + "source": [ + "np.save(\"r90=1.npy\", np.array([umags, Amags]))" + ] + }, + { + "cell_type": "markdown", + "id": "156f3ec3-c471-4f2e-a49d-9b15658eaea4", + "metadata": {}, + "source": [ + "A case near point-like." + ] + }, + { + "cell_type": "code", + "execution_count": 707, + "id": "97284c52-bb89-47ca-bc54-2139ced0f60a", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "There is/are 1 positive branch(es).\n", + "u_T = 1.0\n" + ] + } + ], + "source": [ + "umags, Amags = GenerateMagnificationCurve(0.1)" + ] + }, + { + "cell_type": "code", + "execution_count": 708, + "id": "ca1cf871-8f6d-40d0-a12c-2782938ee682", + "metadata": {}, + "outputs": [], + "source": [ + "np.save(\"r90=0.1.npy\", np.array([umags, Amags]))" + ] + }, + { + "cell_type": "markdown", + "id": "2e8bc5bc-be5e-453e-882a-8200def79e68", + "metadata": {}, + "source": [ + "A case near point-like with a different threshold magnification." + ] + }, + { + "cell_type": "code", + "execution_count": 666, + "id": "b9ba533b-3270-416f-ba40-d465386ec0f7", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "There is/are 1 positive branch(es).\n", + "u_T = 1.6700000000000002\n" + ] + } + ], + "source": [ + "umags, Amags = GenerateMagnificationCurve(0.1, AT=1.1)" + ] + }, + { + "cell_type": "markdown", + "id": "4afdeb9e-6a70-4e1e-a0bd-558fa1e4a30b", + "metadata": {}, + "source": [ + "An extreme example in which finer resolution and minimum step is required" + ] + }, + { + "cell_type": "code", + "execution_count": 668, + "id": "94d237a4-ea1b-420e-af1e-67791fdb6442", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "There is/are 1 positive branch(es).\n", + "u_T = 1.0\n" + ] + } + ], + "source": [ + "umags, Amags = GenerateMagnificationCurve(0.001, vmin=0.0001, vstep=0.0005)" + ] + }, + { + "cell_type": "markdown", + "id": "3ec81167-ce1c-483f-afc0-32c7a8d7962e", + "metadata": {}, + "source": [ + "An extreme example of large $r_{90}$." + ] + }, + { + "cell_type": "code", + "execution_count": 698, + "id": "16740bbe-d78a-484e-bee5-211e0d61f279", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "There is/are 1 positive branch(es).\n", + "u_T = 0.15000000000000002\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/usr/local/lib/python3.9/site-packages/scipy/integrate/_quadpack_py.py:879: IntegrationWarning: The occurrence of roundoff error is detected, which prevents \n", + " the requested tolerance from being achieved. The error may be \n", + " underestimated.\n", + " quad_r = quad(f, low, high, args=args, full_output=self.full_output,\n" + ] + } + ], + "source": [ + "umags, Amags = GenerateMagnificationCurve(90)" + ] + }, + { + "cell_type": "code", + "execution_count": 709, + "id": "982e3b9b-a8e4-4eb3-9c33-ec5418928133", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "There is/are 1 positive branch(es).\n", + "u_T = 0.11\n" + ] + } + ], + "source": [ + "umags, Amags = GenerateMagnificationCurve(100)" + ] + }, + { + "cell_type": "code", + "execution_count": 710, + "id": "a1c7b9f1-a856-423c-81a6-573ff649e797", + "metadata": {}, + "outputs": [], + "source": [ + "np.save(\"r90=100.npy\", np.array([umags, Amags]))" + ] + }, + { + "cell_type": "code", + "execution_count": 711, + "id": "15ecc9d7-abf4-4fea-abe6-734543234ba0", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "There is/are 2 positive branch(es).\n", + "Leaving range of safe interpolation.\n", + "u_T = 1.09\n" + ] + } + ], + "source": [ + "umags, Amags = GenerateMagnificationCurve(5,vstep=0.0001)" + ] + }, + { + "cell_type": "code", + "execution_count": 712, + "id": "202e6308-ba7b-4661-9674-91a1fa485d72", + "metadata": {}, + "outputs": [], + "source": [ + "np.save(\"r90=5.npy\", np.array([umags, Amags]))" + ] + }, + { + "cell_type": "code", + "execution_count": 714, + "id": "874c2bb0-46af-4319-9fc1-9caef008bbe0", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "There is/are 2 positive branch(es).\n", + "Leaving range of safe interpolation.\n", + "u_T = 0.68\n" + ] + } + ], + "source": [ + "umags, Amags = GenerateMagnificationCurve(10)" + ] + }, + { + "cell_type": "code", + "execution_count": 715, + "id": "9e7980c8-eb41-4e2e-8354-5117107aef28", + "metadata": {}, + "outputs": [], + "source": [ + "np.save(\"r90=10.npy\", np.array([umags, Amags]))" + ] + }, + { + "cell_type": "code", + "execution_count": 716, + "id": "0f8b150f-00a4-462a-9312-4c035f0e399e", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "There is/are 1 positive branch(es).\n", + "u_T = 0.39\n" + ] + } + ], + "source": [ + "umags, Amags = GenerateMagnificationCurve(50)" + ] + }, + { + "cell_type": "code", + "execution_count": 717, + "id": "ed30a9aa-859f-4474-8d58-88bcc2f5f003", + "metadata": {}, + "outputs": [], + "source": [ + "np.save(\"r90=50.npy\", np.array([umags, Amags]))" + ] + }, + { + "cell_type": "markdown", + "id": "d15eafa3-48d5-4fa2-b4dd-750ff3471b13", + "metadata": { + "jp-MarkdownHeadingCollapsed": true, + "tags": [] + }, + "source": [ + "

Examples (broken down by step)

" + ] + }, + { + "cell_type": "markdown", + "id": "504fda30-8c71-4e00-abfb-2e7d1b30c93e", + "metadata": { + "jp-MarkdownHeadingCollapsed": true, + "tags": [] + }, + "source": [ + "

$r_{90} = 20 r_E$ NFW

" + ] + }, + { + "cell_type": "markdown", + "id": "4f4af339-6610-4c1a-a172-5baa3f8b2885", + "metadata": {}, + "source": [ + "Here is the case for an NFW profile with $r_{90} = 20 r_E$." + ] + }, + { + "cell_type": "code", + "execution_count": 230, + "id": "ec23961d-39c0-4b4e-a553-7bea0fda36cd", + "metadata": {}, + "outputs": [], + "source": [ + "r90, vs, Mrats = Mratios(20, 0.001, 3, 0.001)" + ] + }, + { + "cell_type": "code", + "execution_count": 231, + "id": "4721ee70-cf6a-4c1d-a5c8-04ff3e6bb503", + "metadata": {}, + "outputs": [], + "source": [ + "us = u(r90, vs, Mrats)" + ] + }, + { + "cell_type": "code", + "execution_count": 232, + "id": "a4edc042-e620-4573-bb37-0b437f0dd72f", + "metadata": {}, + "outputs": [], + "source": [ + "curves = splitCurves(us, vs)" + ] + }, + { + "cell_type": "markdown", + "id": "3fbdb43e-e1a2-431c-926a-3fc055171617", + "metadata": {}, + "source": [ + "We see the two branches in the $v(u)$ plot. They have been split and colored blue and orange." + ] + }, + { + "cell_type": "code", + "execution_count": 233, + "id": "19a2707d-b708-40d7-b2dd-ec5215e61a60", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 233, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(curves[0][0], curves[0][1])\n", + "plt.plot(curves[1][0], curves[1][1])" + ] + }, + { + "cell_type": "code", + "execution_count": 234, + "id": "9b1ed080-4e8f-4110-bf94-365115a41c06", + "metadata": {}, + "outputs": [], + "source": [ + "umags, Amags = totalMagnificationCurve(curves, 3, 0.01)" + ] + }, + { + "cell_type": "code", + "execution_count": 235, + "id": "38fea201-0ab3-4b82-8d90-867551cbe8ac", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 235, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(umags, Amags)" + ] + }, + { + "cell_type": "code", + "execution_count": 236, + "id": "4e63383d-26e5-417c-85d5-ca64f77603c5", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "-0.610000000000051" + ] + }, + "execution_count": 236, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "find_uT(1.34, umags, Amags)" + ] + }, + { + "cell_type": "markdown", + "id": "4dc14791-23e0-4f04-b6e7-99ec622db6e6", + "metadata": {}, + "source": [ + "This agrees with the curve in Djuna's paper." + ] + }, + { + "cell_type": "markdown", + "id": "29e38208-6251-40cc-b526-2f412e0ed5c0", + "metadata": { + "jp-MarkdownHeadingCollapsed": true, + "tags": [] + }, + "source": [ + "

$r_{90} = 0.1 r_E$ NFW (i.e. point source)

" + ] + }, + { + "cell_type": "code", + "execution_count": 352, + "id": "1259b9b2-8517-45e6-bb54-f8cec62b9b55", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "r90, vs, Mrats = Mratios(0.1, 0.001, 5, 0.01)" + ] + }, + { + "cell_type": "code", + "execution_count": 345, + "id": "97fe7f8e-834d-40ee-8eea-509733a5ebb3", + "metadata": {}, + "outputs": [], + "source": [ + "us = u(r90, vs, Mrats)" + ] + }, + { + "cell_type": "code", + "execution_count": 346, + "id": "a6c34a2f-e211-46d5-99cb-b3a98d28cc88", + "metadata": {}, + "outputs": [], + "source": [ + "curves = splitCurves(us, vs)" + ] + }, + { + "cell_type": "markdown", + "id": "2d7287bd-46a9-48e3-b3ce-d4a31a23d435", + "metadata": {}, + "source": [ + "Here, there is only one branch in the $v(u)$ plot." + ] + }, + { + "cell_type": "code", + "execution_count": 347, + "id": "dd9ad78d-b152-43f1-8035-12d84ae245b7", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 347, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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XXjvH5fg0v/vxXUQitXU3DQpqEQm5gbFpvvLKO3xkzxoeqtI5EReioBaR0HJ3fvfbPaQzzjMf3RV0OYFRUItIaH23+zIvnrrCP3/iHrauWh50OYFRUItIKA2MTfPF75xk38Y2PvehbUGXEygFtYiETjKd4fN/cZTJRJr/9Kl9VT8xwEIWfCmTiEi5/cfvv8WbF4b50tP72bGmdoaK30xt/zUlIqHz5z+5wFf/5jyf/eAWPrl/Q9DlhIKCWkRC44UTl/jC8yd5fNdqvvDU7qDLCQ0FtYiEwl8d7uOf/OVRHty8gi9/+oGab5cupDZqEQmUu/O1187z7797mke2r+TQZzppqo8GXVaoKKhFJDBTiTT/+rlunjvaz5N71vKlT++nIaaQnktBLSKB6O6L8y//z3HeHhjnnz1+D//4se01+R6PYiioRaSsphJpvvzyz/jvr55jVXM9/+PXf55Hd9beG/EWQ0EtImWRTGf4ZlcvX/rBzxgYn+FXOzfy7Md318wEtXdCQS0iJTWdTPPc0X6++uo5zg1N0LllBX/0aw/w81vvCrq0iqGgFpGSODswzl8f6ecbb77LyGSS3eta+epnO3l81+qam6HlTimoRWTJvHt1khdPvcd3jl2iuz9OxODDu9bwuQ9t46Ftdymgb5OCWkRu22QiRdeFEV45M8grZwY4NzQBwH0b2vg3T+3ml/etY3VLY8BVVj4FtYgUxd25cHWSIxdHONo7wpGLo5y5Mk4649THIjx890o+88EtPLpzNdtq+N3RpaCgFpEbuDuD12Y4PzjBmSvjnHlvnLdzn2PTKQCaG2Ls39TObz76czywZQUPb1up0YQlpKAWqTHuzvBEgvfGpnkvPs2l+DS9w5NcGJrg3eFJ3h2eZDKRnj2+tTHGzrUtfGL/evasb+OBzSvYvrqZqAanlI2CWqRKuDsTiTTD1xIMTcxwJT7N5fj0bCC/l18emyaRytzwu/WxCFvuWsaWlcv4hZ9bxZaVy9i6ajk717SwprVBnYABU1CLhFAilWF8Osn4dIqx6SRjU9nP8ekkwxNJhidmuDqR4Oq1BMMTCa5ey67PzAlggPpohLVtjaxta+TA5nbWtmaX17U1sqa1kXVtTaxuadDw7RBTUIvcIXdnOplhMpFiMpFmKplmMpFmMpFiKpFdnsqtTybTTM7ktiVTXJtJMz6dZGwqydh0irGpbDhPJdO3/M7Guggrlzewsrmelc317FjTzKrmBu5aXs9dy+tZ1Vw/G8IrltXpjrjCFRXUZvYk8CUgCvyxu/9eSasSuYVMxklmMiTTTjKVIZHOkCj4TObXb9jmJNLp3DZ/33HJdIaZwm3pwmUnkUpfP08qw2SyIISTadyLr98MltVFaaqP0dwQpbWpjtbGOta2NdLSUEdrU4zWxjpam+poaby+3NoUo6WxjvamOpY36B6rliz4T9vMosAfAU8AfcBPzex5dz9V6uLKyd1xB88tZxyc3LbccsZzxwGeub4/k9uWyZ0gv5w/XyaT/a/4hm25ZWbPW7h//u/N5I53h3Qmu55xJ+NOOlO4Pb/t+v4b1jNOOne+TGbO788uL/z77/++6+dMu5PKOKl0hnQmu5zOOKl07jMzZ3umYHv6Jttz64sJxWJELNtGWxeN0BCLUB+NUJf7zG+vj0VYVh+jPre9qT5KU32UZXVRltVnQ3dZflvup6kudn25Psqy3DENsYjucGVRivlr+QPAWXc/B2Bm3wA+CSx5UD/15b9hKpHOheX1UJwNsPm2cWPI5rfPF5r5QKVg+XoAys2YQdSMiBmRSOGyETGIRgwzI2qWW4ZYJLsci0Syn1EjVrDeUBfL7Z9zXH49epPtESMaiRCLGnVRe1+ozg3XebdFC46PRfT0goReMUG9AegtWO8DHpp7kJkdBA4CbN68+baK2d7RTDLtmIGZYWTvdvLLZtkQiBgYdv04I3dsfr/lasptK1hmnm2F5zYs95032Vb4vQX1RXInLKwjvzzvd+ayobDm/P7CP+8NtXD9Mx+I18Mx+xnJnSuSW49GmA3RfNBGZo+dE7QFv1+4X3d/IsFasoYudz8EHALo7Oy8rXvUP3z6wFKVIyJSNYqZPbIf2FSwvjG3TUREyqCYoP4psMPMtplZPfA08HxpyxIRkbwFmz7cPWVmnwf+H9nH8/7E3U+WvDIREQGKbKN29+8B3ytxLSIiMo9imj5ERCRACmoRkZBTUIuIhJyCWkQk5MyX+sUJgJkNAheX/MThtgoYCrqICqDrVBxdp+JVy7Xa4u4d8+0oSVDXIjPrcvfOoOsIO12n4ug6Fa8WrpWaPkREQk5BLSIScgrqpXMo6AIqhK5TcXSdilf110pt1CIiIac7ahGRkFNQi4iEnIL6DpjZvzOzE2Z2zMxeNLP1ue1mZv/FzM7m9j8QdK1BM7PfN7O3ctfjOTNrL9j3TO5anTGzjwRYZuDM7FNmdtLMMmbWOWefrlMBM3sydy3Omtm/CrqeUlJQ35nfd/f73X0/8ALwhdz2jwI7cj8Hgf8WTHmh8hKw193vB94GngEws91k33G+B3gS+EpuQuVa1QP8CvBq4UZdpxsVTLr9UWA38OncNapKCuo74O5jBavLyc6lC9nJf//Ms14H2s1sXdkLDBF3f9HdU7nV18nOFATZa/UNd59x9/PAWbITKtckdz/t7mfm2aXrdKPZSbfdPQHkJ92uSgrqO2Rm/8HMeoFf4/od9XwTAm8od20h9o+A/5tb1rUqjq7TjWrqeizZ5LbVysx+AKydZ9ez7v4dd38WeNbMngE+D3yxrAWGyELXKnfMs0AK+Ho5awuTYq6TSCEF9QLc/fEiD/062VlwvkiNTgi80LUys18HngI+7Ncf4K+5a7WIf6cK1dx1WkBNXQ81fdwBM9tRsPpJ4K3c8vPAZ3NPfzwMxN39ctkLDBEzexL4HeAT7j5ZsOt54GkzazCzbWQ7YN8MosaQ03W6UU1Nuq076jvze2a2E8iQfa3rb+S2fw/4GNkOn0ngHwZTXqj8V6ABeMnMAF53999w95Nm9k3gFNkmkd9y93SAdQbKzP4e8GWgA/iumR1z94/oOt2o1ibd1hByEZGQU9OHiEjIKahFREJOQS0iEnIKahGRkFNQi4iEnIJaRCTkFNQiIiH3/wEo922fWH3gswAAAABJRU5ErkJggg==\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(curves[0][0][0:8000], curves[0][1][0:8000])" + ] + }, + { + "cell_type": "code", + "execution_count": 348, + "id": "537d7892-9416-4501-9f1b-a9c248517cc1", + "metadata": {}, + "outputs": [], + "source": [ + "umags, Amags = totalMagnificationCurve(curves, 4, 0.01)" + ] + }, + { + "cell_type": "code", + "execution_count": 349, + "id": "72363742-19b6-460b-8cea-bb45e01b048a", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 349, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(umags, Amags)" + ] + }, + { + "cell_type": "code", + "execution_count": 350, + "id": "9f3356f8-a060-4e25-9e8a-a732b8394e04", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "-0.99" + ] + }, + "execution_count": 350, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "find_uT(1.34, umags, Amags)" + ] + }, + { + "cell_type": "markdown", + "id": "fc09c73d-964e-462c-9a57-4be212a88c88", + "metadata": { + "jp-MarkdownHeadingCollapsed": true, + "tags": [] + }, + "source": [ + "

$r_{90} = 1 r_E$ NFW (singular)

" + ] + }, + { + "cell_type": "markdown", + "id": "948e6ade-dc23-4666-8404-83d16091dac1", + "metadata": {}, + "source": [ + "This region requires finer resolution to capture both branches." + ] + }, + { + "cell_type": "code", + "execution_count": 689, + "id": "228f6b0f-8523-4ff2-966d-47db27d3bc4e", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "r90, vs, Mrats = Mratios(1, 0.0001, 5, 0.0001)" + ] + }, + { + "cell_type": "code", + "execution_count": 690, + "id": "a4bc6af6-0eeb-4e56-ae9a-ae845fe7c25c", + "metadata": {}, + "outputs": [], + "source": [ + "us = u(r90, vs, Mrats)" + ] + }, + { + "cell_type": "code", + "execution_count": 691, + "id": "81000fe4-7c4d-4020-a16d-dc62dc9f6114", + "metadata": {}, + "outputs": [], + "source": [ + "curves = splitCurves(us, vs)" + ] + }, + { + "cell_type": "markdown", + "id": "3234a897-37b7-44ff-9981-0f0dca7dac89", + "metadata": {}, + "source": [ + "Here, there are two branches in the $v(u)$ plot." + ] + }, + { + "cell_type": "code", + "execution_count": 692, + "id": "4773c377-46cf-499d-8e74-30d3c7e35104", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 692, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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FQlo8KzqSLtorKun2+4ZOJDGkohYJ5d3Ho2t37LUPXPBU9FGkDipqkRDeeAj+di50OTg6km7dJXQiiTEVtUhTm/N/MOUS6DVYV8GTpGgetUhTcYcX/gAzr4V+J8Lpd0F+i9CpJAOoqEWagjs8/R/wyq1wyEg4+VbI04+fJEf/UkTSrboKpl8Or98Hh18Cw66HZhp1lOSpqEXSqXJjtL7hP5+Eo66EIb/UauHSaCpqkXTZ8Bk8eCYsK4MT/giHXxw6kWQoFbVIOny+JFo6a81SOPM+OPCk0Ikkg6moRVLt4/nRiSzVldH0u32OCJ1IMpyKWiSVFj0LE0fXnBI+HUr6hU4kWUBvPYukyrz74IERsFcvuHCGSlpSRkfUInsqUQ3PXAOz/xd6D4ER46MVw0VSREUtsie2rIdHLoqm3x12cTRHWieySIrpX5TI7lqzFB4cCasWavqdpFWDRW1mdwHDgVXuPiD9kUQywLKyqKSrNsM5E6Hv0NCJJIsl82biPcCwNOcQyRxz74G7j4f8ouhNQ5W0pFmDR9Tu/oKZ9WqCLCLxtnUzPPlzmHcv9DkGTrtDlyiVJpGyMWozGwuMBejZs2eqnlYkHtYuiy70//E8+ObPomt2NMsLnUpyRMqK2t3HAeMASktLPVXPKxLc4udh0vlQVQln3g8HDg+dSHKMZn2I7EqiGp6/AV64ATrsB2fdDx33C51KcpCKWqQua5fD5Ivhw5fhkLPhhD9AYXHoVJKjGpz1YWYPAq8A/cxsmZldmP5YIgG99yTcPji6uNKp/wen/kUlLUElM+tjZFMEEQlu6yZ45jcw5y/R6uCn3w0d+4ZOJaKhDxEAls2NVgb/7H342qVw7G+heWHoVCKAilpyXVUlPP97eOkmaL03nPso9BkSOpXIDlTUkrtWvAVTLoWVb8Oho2DY73TVO4klFbXknsoN0VH07FuhZQcY+RD0Oz50KpFdUlFLbnl/Bjz+U1jzEQwcBcf+l04Dl9hTUUtuqFgBf78KFkyGjvvDeY9DryNDpxJJiopastvWTfDKbfDiTZCogiFXw+DLNKNDMoqKWrKTOyyYAjOugbUfwQHDoyl3HfqETibSaCpqyT5LX4MZv4KPZkPng+C7j8G+R4VOJbLbVNSSPT55E577b3j/KWhVAif9CQaeq8uRSsZTUUvmK/8nzLwWFj4azYM+5ldw+CW6PodkDRW1ZK7l8+DlW2DhNChoBUddCUf8AIrahU4mklIqasks7rB4Jrx0M/zrBShsC0f+JCroVh1DpxNJCxW1ZIatm+CtSfDqOFjxJhR3iU5W+ep50KJN6HQiaaWilnhbvRheuxNenwCb10DJAXDS/8AhZ2kutOQMFbXEz9bN8N4TMP9+WPQsWDM48CQ47KLobEKz0AlFmpSKWuLBHZa+Cm88GJ3mvXkttOkG3/pFNLzRpmvohCLBqKglHPdovHnhtOgswtUfQH7L6Oj5kJHRSSqaAy2iopYm5g7L58LCqfDONPh8STS00etI+OZPof8pUNg6dEqRWFFRS/ptWhNNqXv/GVj0DKxfAc2aQ+9vw5E/hQNO1NQ6kXqoqCX1qrdGp3Mvfi56M3Dpq+DV0ZznPkNg/2HQbxgU7RU6qUhGUFHLnquqhI/nwZKX4MOX4aM5sHVD9FjXQ6ITUvoOhe6HQZ7+yYk0ln5qpHHcYe2yqJiXz41O415WBlWbosdLDoRDR8I+g6Nx5+JOYfOKZAEVteyaO6xbDisXwifztxfzhlXR43kF0HlANH2u12Do+Q1o1SFkYpGspKKWyOZ1sGohrFyw48fNa2s2sGgJq75Dodug6NZ5gM4OFGkCKupcUrUlmg732aKa2wc1t0XRTIxtCttAp/4w4LToY+cB0PkruqaGSCAq6mxSXQUVH8OapdEq22trffx8SXTfE9u3b9kROvSNjpI79Kkp5f7QtodO0xaJERV1pqjcEK2kvX4lVHwCFSujo+CKFVExr10K6z6OpsHV1qoTtOsBew+Cg8+E9n2icu7QW9PjRDKEijqURCK6GtzGz6Lbhk+339/4Wa1SrinjyoovP0deQXS5z7bdYZ9vREfC7XrUfNwH2naD/KIm3zURSS0V9e5KJKK5wlvWw5aKqEi3VNT6fD1sWRfd37i6poBXw8aaQt70+Y7DELXlt4TiztC6SzQ23PeYms+7QuvOUTm37hIdEWuIQiTr5VZRu0dDCDsUae1irdh+2+XntbbHG37NZs2hZYftt04HRmPDtb/Wsn10CnXLDlDUHgpapv2PQkQyR1JFbWbDgD8BecAd7n59WlPV5g5bN+5Ymg0W6bq6i3VLBUmVq+VFFwYqbBMtkFrYGlq0i4YUCoujrxfUfL3Oz1tDQevoY/NCHfWKyB5psKjNLA+4DTgWWAa8ZmbT3H1hSpNUbuCFu66ix+b3KK76nMLqDRRWVZBftZ5mO79BVge3PKrzW5HIb02iYPtHb9OFREExXlCMF0RF6gXby9UKW39RsF/cb94Cs2Y1fwDb/hx2+BSr+ULtCt6+Ta3HqhK7fnwXz7nj1778mIjklmSOqA8HFrn7YgAzewg4BUhpUW9KNKf3yqdZXd2Cxd6OCjqwzltRQREV3pL1FFHhRWygiPUUsd5b1HxsyXpasJkC2LQ7Zbap5rYqlbuTdg394tj5l0LtB3e1TYO/jL78VNu3STIPO73W7uRh5+13eK7G7Uvtx/duV8S9FxyOSNwkU9TdgKW1Pl8GfG3njcxsLDAWoGfPno0OUtSikO6/nE+35oVsqUqwqbKajVur2VRZxeatCdwh4U61O+5OwqE64STc8Vr3E+4kEmy/v+37Ejtu5w7Vtbep+TpEoy2wfZDEfcfhku2Pex1fq3ubnZ7ii+fc+fvq+17faYOGXqu+52QX+9jQftS7L0nm2fH7d9omye/d1X7Un6fux7fd6VhcgEgcpezNRHcfB4wDKC0tTWIguA75LTCgRX4eLfLz0CxfERFolsQ2y4EetT7vXvM1ERFpAskU9WvAfma2r5kVAGcB09IbS0REtmlw6MPdq8zsh8BTRNPz7nL3BWlPJiIiQJJj1O7+BPBEmrOIiEgdkhn6EBGRgFTUIiIxp6IWEYk5FbWISMzZzmfdpeRJzcqBD5PcvCPwacpDxIv2MTtoH7NDXPdxH3cvqeuBtBR1Y5hZmbuXBg2RZtrH7KB9zA6ZuI8a+hARiTkVtYhIzMWhqMeFDtAEtI/ZQfuYHTJuH4OPUYuISP3icEQtIiL1UFGLiMRcLIrazH5kZu+a2QIzuyF0nnQxsyvMzM2sY+gs6WBmf6j5e3zTzKaYWbvQmVLFzIaZ2XtmtsjM/j10nlQzsx5mNtPMFtb8HF4WOlO6mFmemb1uZtNDZ0lW8KI2syFEazAe4u5fAf4YOFJamFkP4DvAR6GzpNEMYIC7Hwz8E7gqcJ6UqLXA8/FAf2CkmfUPmyrlqoAr3L0/8HXgB1m4j9tcBrwTOkRjBC9q4PvA9e6+BcDdM2uV2eTdDFzJjsv7ZRV3f9rdq2o+/QfRakDZ4IsFnt29Eti2wHPWcPdP3H1ezf0KoiLrFjZV6plZd+BE4I7QWRojDkW9P/BNM5tjZs+b2WGhA6WamZ0CLHf3N0JnaUIXAE+GDpEidS3wnHUlto2Z9QIGAnMCR0mHW4gOmBKBczRKyha3rY+ZPQN0qeOhq2sytCf679ZhwEQz6+0ZNm+wgX38JdGwR8arbz/dfWrNNlcT/Vf6/qbMJnvOzIqBR4DL3X1d6DypZGbDgVXuPtfMvh04TqM0SVG7+9BdPWZm3wcm1xTzq2aWILpoSnlTZEuVXe2jmR0E7Au8YWYQDQfMM7PD3X1FE0ZMifr+LgHM7DxgOHBMpv2yrUdOLPBsZvlEJX2/u08OnScNBgMnm9kJQAugjZlNcPdRgXM1KPgJL2Z2KbC3u//KzPYHngV6ZtEP+Q7MbAlQ6u5xvHrXHjGzYcBNwLfcPaN+0dbHzJoTvTl6DFFBvwacnU1rh1p0FDEeWO3ulweOk3Y1R9Q/c/fhgaMkJQ5j1HcBvc3sbaI3acZka0nngFuB1sAMM5tvZreHDpQKNW+Qblvg+R1gYjaVdI3BwLnA0TV/d/NrjjwlBoIfUYuISP3icEQtIiL1UFGLiMScilpEJOZU1CIiMaeiFhGJORW1iEjMqahFRGLu/wFBpeXKZZXOIwAAAABJRU5ErkJggg==\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(curves[0][0], curves[0][1])\n", + "plt.plot(curves[1][0], curves[1][1])" + ] + }, + { + "cell_type": "code", + "execution_count": 693, + "id": "794835e5-68ab-4ef7-ac93-4ad3dc7b3cbe", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Leaving range of safe interpolation.\n", + "Leaving range of safe interpolation.\n" + ] + } + ], + "source": [ + "umags, Amags = totalMagnificationCurve(curves, 10, 0.01)" + ] + }, + { + "cell_type": "code", + "execution_count": 694, + "id": "36bb94b6-4325-4615-8ed1-69cc246758f4", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 694, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(umags, Amags)" + ] + }, + { + "cell_type": "code", + "execution_count": 695, + "id": "b66ce029-77a6-40e8-b42c-d3173e1c007b", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "-1.0" + ] + }, + "execution_count": 695, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "find_uT(1.34, umags, Amags)" + ] + }, + { + "cell_type": "markdown", + "id": "b70718af-042e-4a19-b85c-f62672f29598", + "metadata": {}, + "source": [ + "As expected, $u_T \\rightarrow 1$ for $A_T \\rightarrow 1.34$ in this limit." + ] + }, + { + "cell_type": "markdown", + "id": "4e5d4514-f9b4-4114-a420-3caea25a6273", + "metadata": { + "jp-MarkdownHeadingCollapsed": true, + "tags": [] + }, + "source": [ + "

$r_{90} = 0.001 r_E$ NFW (i.e. point source)

" + ] + }, + { + "cell_type": "code", + "execution_count": 656, + "id": "14f99af3-cfde-46c2-a42d-716fcabaee0e", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "r90, vs, Mrats = Mratios(0.001, 0.0001, 5, 0.0001)" + ] + }, + { + "cell_type": "code", + "execution_count": 657, + "id": "af69a1c0-9af5-44ea-918a-87ff8a048dcc", + "metadata": {}, + "outputs": [], + "source": [ + "us = u(r90, vs, Mrats)" + ] + }, + { + "cell_type": "code", + "execution_count": 658, + "id": "ff5350d3-e200-479b-ab1f-f6ca9a4a2989", + "metadata": {}, + "outputs": [], + "source": [ + "curves = splitCurves(us, vs)" + ] + }, + { + "cell_type": "markdown", + "id": "e60af6d6-2396-423e-9144-503e5039cd16", + "metadata": {}, + "source": [ + "Here, there is only one branch in the $v(u)$ plot." + ] + }, + { + "cell_type": "code", + "execution_count": 659, + "id": "36ef90e2-2b1a-4d67-8f4e-7bf0343e37a4", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 659, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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O21tsX6JBux7QGgsXpwR/j6RfT59vtF1rafv1WsfMXK/0l+HQuyTtTdsbauOpjPkk5I+56TumTbw0uHHxPUkPp9fNaf+vSdqX9j0o6R0jn+lp8B/ZU5L+XMdndZ4v6UuSviXpbknnldau9N6NKfYnlEZApP3XSvpmeu/Gkf2XavA/zpOSPi1pS4PtepcGdb+jkp6V9IUZuV5j29X263VCG/9O0jckPaJB8tp+sm0s+ZU7ZqaQA0DhTsvSBwC0CYkaAApHogaAwpGoAaBwJGoAKByJGgAKR6IGgML9L0Zus4gwOxHqAAAAAElFTkSuQmCC\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(curves[0][0], curves[0][1])" + ] + }, + { + "cell_type": "code", + "execution_count": 660, + "id": "4f1273ca-a927-4a5a-9d3a-8a57e971fad4", + "metadata": {}, + "outputs": [], + "source": [ + "umags, Amags = totalMagnificationCurve(curves, 4, 0.01)" + ] + }, + { + "cell_type": "code", + "execution_count": 661, + "id": "6e36d1d4-bb21-4228-b02b-658c661c9dd4", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 661, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(umags, Amags)" + ] + }, + { + "cell_type": "code", + "execution_count": 662, + "id": "61541b61-cb8d-4915-b124-e0acee115d7d", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "-1.0" + ] + }, + "execution_count": 662, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "find_uT(1.34, umags, Amags)" + ] + }, + { + "cell_type": "markdown", + "id": "96734307-80ba-40e7-badb-7a3c8c4d8729", + "metadata": {}, + "source": [ + "As expected, $u_T \\rightarrow 1$ for $A_T \\rightarrow 1.34$ in this limit." + ] + }, + { + "cell_type": "markdown", + "id": "94f48a6a-f7bd-4730-9610-3a787280ca8f", + "metadata": { + "jp-MarkdownHeadingCollapsed": true, + "tags": [] + }, + "source": [ + "

$r_{90} = 90 r_E$ NFW (extreme case)

" + ] + }, + { + "cell_type": "markdown", + "id": "864a8a50-17a7-4227-90e6-f803a66fc603", + "metadata": {}, + "source": [ + "Here is the extreme case of $r_{90} = 90 r_E$." + ] + }, + { + "cell_type": "code", + "execution_count": 328, + "id": "30b4873e-15db-4346-afff-dff516846b23", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/usr/local/lib/python3.9/site-packages/scipy/integrate/_quadpack_py.py:879: IntegrationWarning: The maximum number of subdivisions (50) has been achieved.\n", + " If increasing the limit yields no improvement it is advised to analyze \n", + " the integrand in order to determine the difficulties. If the position of a \n", + " local difficulty can be determined (singularity, discontinuity) one will \n", + " probably gain from splitting up the interval and calling the integrator \n", + " on the subranges. Perhaps a special-purpose integrator should be used.\n", + " quad_r = quad(f, low, high, args=args, full_output=self.full_output,\n" + ] + } + ], + "source": [ + "r90, vs, Mrats = Mratios(90, 0.00001, 4, 0.001)" + ] + }, + { + "cell_type": "code", + "execution_count": 329, + "id": "393516fc-ce40-4d3d-9bc6-7e63be853ce7", + "metadata": {}, + "outputs": [], + "source": [ + "us = u(r90, vs, Mrats)" + ] + }, + { + "cell_type": "code", + "execution_count": 330, + "id": "95355d5a-24e3-4784-9fcf-20c56db4a73c", + "metadata": {}, + "outputs": [], + "source": [ + "curves = splitCurves(us, vs)" + ] + }, + { + "cell_type": "code", + "execution_count": 331, + "id": "94b6584e-75dd-433d-9f38-9ed0f1e8a7c5", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "1" + ] + }, + "execution_count": 331, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "len(curves)" + ] + }, + { + "cell_type": "markdown", + "id": "da01d4d7-0257-4b6c-9264-214c41c64b7e", + "metadata": {}, + "source": [ + "Here, there is only one branch in the $v(u)$ plot." + ] + }, + { + "cell_type": "code", + "execution_count": 332, + "id": "2f75990f-6ac9-45dd-8318-a7c3ff53de3c", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 332, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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kGNydWZ9t4b6F2RQcKeHG8/pw3cheJDRsEHQ0qYPCGeWyBPjGj9Td/THgsUiFEqkPvtxTwK2zs1iSs5vTup/EQxNS6dOxRdCxpA7TlaIitayktIxnlmzkkXfW0TAujnvHDeQHw7prKKKcMBW6SC3K2pLHLbMyWLX1AOf178i94wfSuVWToGNJjFChi9SCwqJSHnlnHc8s2UibZo144gdDuDClk+5VLhGlQhepYUu+2M202Zl8tfcQVwxNZMqo/rRqqqGIEnkqdJEasq+giHsXZpP+2RZ6tGvGK5OHM7xn26BjSQxToYtEmLszb+VW7p6fzYHCYq4/uxc/P6cPjeM1FFFqlgpdJIJy9x3i1tlZvL9uF6cktuahCan079wy6FhST6jQRSKgtMx5fukmHn5rLQB3XjyAH45IpoGGIkotUqGLnKDsrQeYmp7Bytw8zu7bnnvHp9DtpKZBx5J6SIUucpwOF5fyp398wYwPNtCqSTyPThzM2FO6aCiiBEaFLnIclq7fzbT0TDbtOcRlp3Xj1tH9OalZo6BjST2nQhephrxDxTzw+mpeXbaZpDZN+cs1w/hWn3ZBxxIBVOgiYXF3FmZu46552ew7VMRP/6MnN557Mk0aaSiiRA8VusgxbN1fyB1zs3hn9U5Surbk+atPJ6Vrq6BjiXyNCl3kKMrKnL98/CXTF62h1J1bR/fn6jOTadggLuhoIlVSoYtUYd2OfKbMyuCzr/bz7T7tuH98KkltNRRRols4U9AlAi8CHQEHZrj7o5XWMeBRYDRwCJjk7p9FPq5IzTpSUsrji3N48v31NE9oyB++dwqXnNpVQxGlTgjnCL0E+JW7f2ZmLYDlZva2u2dXWOdCoE/oaxjwZOi/InXGp5v2MmVWBut3FTB+cBduHzOAts0Tgo4lErZwpqDbBmwLPc43s9VAV6BioY8DXgzNI/qRmbU2s86h7xWJagcOFzN90Rr++vFXdG3dhOevPp2RfTsEHUuk2qp1Dt3MkoFTgY8rLeoKbK7wPDf02v8pdDObDEwGSEpKqmZUkch7I2s7d87LYlf+Ea75Vg/+6/yTaZagj5akbgr7N9fMmgOzgBvd/cDxbMzdZwAzANLS0vx4foZIJOw4cJg7567ijVXb6depBTOuSuOUxNZBxxI5IWEVupnFU17mf3X39CpW2QIkVnjeLfSaSFQpK3Ne+XQzDy5aTVFJGTeP6stPvt2TeA1FlBgQzigXA54BVrv7H46y2jzgBjN7hfIPQ/N0/lyizfpdB5mansknG/cyomdbHpiQSo92zYKOJRIx4RyhnwlcBWSa2YrQa9OAJAB3fwp4nfIhizmUD1u8OuJJRY5TcWkZ//3+ev60OIfGDeP47aWD+G5aNw1FlJgTziiXJcA3/uaHRrdcH6lQIpGyYvN+pszKYM32fC5K7cydYwfQoUXjoGOJ1Ah9nC8x6VBRCQ+/tY7n/rWR9i0SmHHVaVwwsFPQsURqlApdYs7763Zx6+xMcvcVcuXwJG4e1Y+WjeODjiVS41ToEjP2FhRx34Js0j/fQs/2zXjtpyMY2qNN0LFEao0KXeo8d2feyq3cPT+bA4XF/Pyc3lx/dm8ax+te5VK/qNClTsvdd4jb5mTx3tpdnJLYmumXptKvU8ugY4kEQoUudVJpmfPih5v43ZtrAbhjzAB+dEYyDeI0FFHqLxW61Dlrt+dzy6wMVmzez1knt+f+8SkkttG9ykVU6FJnVL5X+R8vH8y4wV10gZBIiApd6oRlm/ZyS+he5Zec2pXbLuqve5WLVKJCl6iWf7iY376xlpc++lL3Khc5BhW6RK23s3dw+5wsduQf5sdn9uBXF+he5SLfRO8OiTq78o9w1/xVLMzYRt+OLXjyyiGcmnRS0LFEop4KXaKGu/P35bncv3A1hUWl/PqCk5l8Vi8aNdS9ykXCoUKXqPDlngKmzc7kXzl7GJrchgcmpNK7Q/OgY4nUKSp0CVRJaRnPLNnII++so2FcHPeNT+H7Q5OI0wVCItWmQpfAZG3JY0p6BllbDnBe/47cNz6FTq10r3KR4xXOFHTPAmOAne6eUsXykcBcYGPopXR3vyeCGSXGHC4u5ZF31vH0PzdyUtNGPPGDIVyY0kkXCImcoHCO0J8HHgNe/IZ1/unuYyKSSGLa0pzdTJ2dyZd7DnF5WiLTRvenVVPdq1wkEsKZgu4DM0uuhSwSw/IOFXP/69m8tiyX7m2b8rdrh3FG73ZBxxKJKZE6hz7CzFYCW4Ffu/uqqlYys8nAZICkpKQIbVqimbuzKGs7d8xdxb5DRfzsP3px43l9dK9ykRoQiUL/DOju7gfNbDQwB+hT1YruPgOYAZCWluYR2LZEse15h7l9bhZvZ+8gpWtLnr/6dFK6tgo6lkjMOuFCd/cDFR6/bmZPmFk7d999oj9b6qayMudvn3zF9EVrKC4rY9rofvz4zB40bKALhERq0gkXupl1Ana4u5vZUCAO2HPCyaROytl5kKnpGXy6aR9n9m7LA5ek0r1ts6BjidQL4QxbfBkYCbQzs1zgTiAewN2fAi4DrjOzEqAQmOjuOp1SzxSVlPHf76/nz4tzaNKoAb+9bBDfPa2bhiKK1KJwRrlccYzlj1E+rFHqqc+/2seUWZms3ZHPRYM6c+fFA+jQQhcIidQ2XSkqx63gSAm/f2stzy/dRMcWjfmfH6Zx/oCOQccSqbdU6HJc3lu7k1tnZ7FlfyFXDe/OzaP60qKxLhASCZIKXaplb0ER98xfxZwVW+nVvhkzfzaCtOQ2QccSEVToEiZ3Z+6KrdyzIJv8w8X84tw+XH92LxIa6gIhkWihQpdjyt13iFtnZ/H+ul0MTmzN9EsH0bdTi6BjiUglKnQ5qtIy54Wlm/j9W2sBuOviAVw1IpkGule5SFRSoUuV1u3I5+aZGazYvJ+Rfdtz3/gUup3UNOhYIvINVOjyfxSVlPHEezk8/m4OzRMa8ujEwYw9pYsuEBKpA1To8m+ff7WPW2ZlsG7HQcYN7sIdYwbQtnlC0LFEJEwqdOFQUQm/f3Mdzy3dSKeWjXl2Uhrn9NMFQiJ1jQq9nlvyxW6mpGeQu6+QK4cnccuofrpASKSOUqHXU3mHirlvYTZ/X55Lz3bNeHXycIb1bBt0LBE5ASr0emhR5jZuD80g9J8je/GLczWDkEgsUKHXIzsPlM8g9OaqHQzsohmERGKNCr0ecHdeW7aZ+xaupqikjFtG9eMn39YMQiKxJpwJLp4FxgA73T2liuUGPAqMBg4Bk9z9s0gHlePz5Z4CpqZnsnT9Hob2aMNDE1Lp2b550LFEpAaEc4T+POUTWLx4lOUXUj4pdB9gGPBk6L8SoNIy59klG3n47bU0jIvj/ktSuOL0JOJ02b5IzApnxqIPzCz5G1YZB7wYmnbuIzNrbWad3X1bpEJK9azZfoBbZmawMjePc/t14L5LUujcqknQsUSkhkXiHHpXYHOF57mh11TotexISSmPL87hiffW06pJPH+64lQuHtRZl+2L1BO1+qGomU0GJgMkJSXV5qZj3vIv93LLrExydh5kwqlduW3MANo0axR0LBGpRZEo9C1AYoXn3UKvfY27zwBmAKSlpXkEtl3vFRwp4XdvruWFDzfRpVUTnr/6dEb27RB0LBEJQCQKfR5wg5m9QvmHoXk6f147/ndez615hfxweHd+M6ofzRM0ElWkvgpn2OLLwEignZnlAncC8QDu/hTwOuVDFnMoH7Z4dU2FlXL7Coq4d0E26Z9v+fe8nqd117yeIvVdOKNcrjjGcgeuj1giOSp3Z0HGNu6at4q8wmJ+fk5vrj+7ty7bFxFAV4rWGdvzDnPbnCzeWb2DQd1a8Zdrh9G/c8ugY4lIFFGhR7myMueVTzfz4OurKS4r49bR/bn6zGRdti8iX6NCj2KbdhcwJT2DjzbsZUTPtjx0aSrd2zYLOpaIRCkVehQqLXOe+9dGfv/WWuLj4nhwQioTT0/UBUIi8o1U6FEmZ2c+v5mZwedf7efcfh24/5JUOrVqHHQsEakDVOhRori0jBkfbODRd76gaUID/nj5YMYN7qKjchEJmwo9CqzamsfNMzNYtfUAF6V25q6xA2nfIiHoWCJSx6jQA1TxZlqtmzbiyR8M4cLUzkHHEpE6SoUekM+/2sfNMzP4YudBJgzpyh1jBtC6qW6mJSLHT4Veyw4Xl/KHt9fx9D830LFlY56bdDpn99PNtETkxKnQa9EnG/dyy6wMNu4u4IqhSUwd3Y+WjeODjiUiMUKFXgsKjpQw/Y01vPjhlyS2acLfrh3GGb3bBR1LRGKMCr2G/fOLXUyZlcnWvEKuPjOZ33ynL00babeLSOSpWWpIXmExDyxczavLNtOzfTP+/tMRpCXrFrciUnNU6DXgnewd3Donk135R7huZC9+eW4f3eJWRGqcCj2C9hYUcff8VcxdsZV+nVrwPz9MY1C31kHHEpF6Iqx7sJrZKDNba2Y5ZjaliuWTzGyXma0IfV0b+ajR7Y2sbVzwyPu8nrmNG8/rw7wbvqUyF5FaFc4UdA2Ax4HzgVzgUzOb5+7ZlVZ91d1vqIGMUW1fQRF3zFvF/JVbSenakr9cO4x+nTTxhIjUvnBOuQwFctx9A0BoMuhxQOVCr3feyNrObXMyySss5lfnn8zPRvYiXhNPiEhAwin0rsDmCs9zgWFVrHepmZ0FrANucvfNlVcws8nAZICkpKTqp40S+wqKuCt0rnxA55a8dI2mgxOR4EXqQ9H5wMvufsTMfgq8AJxTeSV3nwHMAEhLS/MIbbtWvbVqO9NmZ7H/UBE3nXcy/3m2jspFJDqEU+hbgMQKz7uFXvs3d99T4enTwG9PPFp02X+oiLvnZzP78y0M6NySF388lAFddFQuItEjnEL/FOhjZj0oL/KJwPcrrmBmnd19W+jpWGB1RFMG7J3sHUydncm+giJ+eW4frj+7N40a6qhcRKLLMQvd3UvM7AbgTaAB8Ky7rzKze4Bl7j4P+IWZjQVKgL3ApBrMXGvyDhVz94JVpH+2hX6dWvDcpNNJ6doq6FgiIlUy92BOZaelpfmyZcsC2XY4Fq/ZwdT0THYfLOL6kb244Zw+OioXkcCZ2XJ3T6tqma4UrSSvsJh7F2Qzc3kufTu24Okfnk5qNx2Vi0j0U6FXsOSL3fxm5kp25h/hhrN78/Nze5PQUPdgEZG6QYUOFBaVMv2NNTy/dBM92zcj/bozOCWxddCxRESqpd4X+srN+7nptRVs2FXApDOSmXJhP90ZUUTqpHpb6MWlZfx5cQ6Pv5tDhxYJ/PXaYZypWYREpA6rl4WeszOfm15dSeaWPCYM6cqdFw+kVRPN7SkidVu9KvSyMue5pZuY/sYamjVqwJM/GMKFqZ2DjiUiEhH1ptC37C/k16+t5MMNezi3XwcevDSVDi0aBx1LRCRi6kWhL8zYxtT0DErLnOmXpvK9tETMLOhYIiIRFdOFXnCkhLvnr+K1ZbkMTmzNoxMH071ts6BjiYjUiJgt9MzcPH7xyuds2lPADWf35pfn9dFtbkUkpsVcoZeVOf/zzw38/q21tGuewMs/Gc7wnm2DjiUiUuNiqtB35h/mv15dyZKc3YxO7cQDl6TSummjoGOJiNSKmCn0D9fv4RevfE7+4WJ98Cki9VKdL/SyMufJ99fz8FtrSW7XjL9eO4yTO7YIOpaISK2r04W+/1ARN726gnfX7uLiU7rw4IRUmifU6f8lEZHjFtawDzMbZWZrzSzHzKZUsTzBzF4NLf/YzJIjnrSS9bsOMv7xf7EkZzf3jhvInyYOVpmLSL12zAY0swbA48D5QC7wqZnNc/fsCqtdA+xz995mNhGYDlxeE4EBlq7fzU9fWk6jBnG8/JPhpCW3qalNiYjUGeEcoQ8Fctx9g7sXAa8A4yqtMw54IfR4JnCu1dAnkktzdnP1c5/SuVVj5lx/pspcRCQknELvCmyu8Dw39FqV67h7CZAHfG3wt5lNNrNlZrZs165dxxW4Q8vGDO3RhlcmjyCxTdPj+hkiIrGoVi+ddPcZ7p7m7mnt27c/rp/Ru0NzXrpmGG2aaXy5iEhF4RT6FiCxwvNuodeqXMfMGgKtgD2RCCgiIuEJp9A/BfqYWQ8zawRMBOZVWmce8KPQ48uAxe7ukYspIiLHcsxRLu5eYmY3AG8CDYBn3X2Vmd0DLHP3ecAzwEtmlgPspbz0RUSkFoU1cNvdXwder/TaHRUeHwa+G9loIiJSHbqfrIhIjFChi4jECBW6iEiMUKGLiMQIC2p0oZntAr48zm9vB+yOYJxIUrbqi9ZcoGzHI1pzQfRmq06u7u5e5ZWZgRX6iTCzZe6eFnSOqihb9UVrLlC24xGtuSB6s0Uql065iIjECBW6iEiMqKuFPiPoAN9A2aovWnOBsh2PaM0F0ZstIrnq5Dl0ERH5urp6hC4iIpWo0EVEYkRUF3o0Tk5djWyTzGyXma0IfV1bS7meNbOdZpZ1lOVmZn8K5c4wsyFRkmukmeVV2F93VLVeDWVLNLN3zSzbzFaZ2S+rWKfW91uYuQLZb2bW2Mw+MbOVoWx3V7FOIO/PMLMF8v4MbbuBmX1uZguqWHZi+8zdo/KL8lv1rgd6Ao2AlcCASuv8J/BU6PFE4NUoyjYJeCyA/XYWMATIOsry0cAiwIDhwMdRkmsksCCg37XOwJDQ4xbAuir+PGt9v4WZK5D9FtoPzUOP44GPgeGV1gnq/RlOtkDen6Ft/xfwt6r+3E50n0XzEXpUTU59HNkC4e4fUH5P+qMZB7zo5T4CWptZ5yjIFRh33+bun4Ue5wOr+fq8ubW+38LMFYjQfjgYehof+qo8wiKQ92eY2QJhZt2Ai4Cnj7LKCe2zaC70iE1OHVA2gEtD/zyfaWaJVSwPQrjZgzAi9M/kRWY2MIgAoX/inkr5UV1Fge63b8gFAe230KmDFcBO4G13P+o+q+X3ZzjZIJj35x+Bm4Gyoyw/oX0WzYVe180Hkt19EPA2//9vXanaZ5Tfo+IU4M/AnNoOYGbNgVnAje5+oLa3fzTHyBXYfnP3UncfTPk8w0PNLKW2tn0sYWSr9fenmY0Bdrr78praRjQXejRPTn3MbO6+x92PhJ4+DZxWC7nCEc5+rXXufuB//5ns5TNkxZtZu9ravpnFU16af3X39CpWCWS/HStX0PsttN39wLvAqEqLAp88/mjZAnp/ngmMNbNNlJ+mPcfM/lJpnRPaZ9Fc6NE8OfUxs1U6vzqW8vOf0WAe8MPQqI3hQJ67bws6lJl1+t9zhWY2lPLfzVp584e2+wyw2t3/cJTVan2/hZMrqP1mZu3NrHXocRPgfGBNpdUCeX+Gky2I96e7T3X3bu6eTHlnLHb3KyutdkL7LKw5RYPgUTw5dZjZfmFmY4GSULZJtZHNzF6mfORDOzPLBe6k/EMh3P0pyueGHQ3kAIeAq6Mk12XAdWZWAhQCE2vpL2coP3K6CsgMnXcFmAYkVcgXxH4LJ1dQ+60z8IKZNaD8L5HX3H1BNLw/w8wWyPuzKpHcZ7r0X0QkRkTzKRcREakGFbqISIxQoYuIxAgVuohIjFChi4jECBW6iEiMUKGLiMSI/wdehZTNj9ENkAAAAABJRU5ErkJggg==\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(curves[0][0],curves[0][1])" + ] + }, + { + "cell_type": "code", + "execution_count": 333, + "id": "9e7d76ba-29f5-40be-ad8b-88edc9e1cabe", + "metadata": {}, + "outputs": [], + "source": [ + "umags, Amags = totalMagnificationCurve(curves, 3, 0.01)" + ] + }, + { + "cell_type": "markdown", + "id": "4fb8dba3-eec5-4065-bff4-fcac6b48a99e", + "metadata": {}, + "source": [ + "The inverted feature is due to the fact that these values of $u$ are so small that they lie outside our range of interpolation, hence are artificially set to zero. They ultimately do not affect the result, but maybe should be fixed." + ] + }, + { + "cell_type": "code", + "execution_count": 334, + "id": "ec2af6c4-c2da-4a00-a749-260fce736ad3", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 334, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(umags, Amags)" + ] + }, + { + "cell_type": "code", + "execution_count": 335, + "id": "32b252a9-6fc3-48af-8388-81b8e2bad020", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "-0.15000000000000002" + ] + }, + "execution_count": 335, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "find_uT(1.34, umags, Amags)" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.18" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/examples/hsc_ubo_fwhm.ipynb b/examples/hsc_ubo_fwhm.ipynb new file mode 100644 index 0000000..ff69537 --- /dev/null +++ b/examples/hsc_ubo_fwhm.ipynb @@ -0,0 +1,1653 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "from LensCalcPy.survey import *\n", + "from LensCalcPy.ffp import *\n", + "from LensCalcPy.utils import *\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "import pandas as pd\n", + "from scipy.interpolate import interp1d, interp2d\n", + "from scipy.integrate import quad, nquad\n", + "from tqdm import tqdm\n", + "from pathos.multiprocessing import ProcessingPool as Pool\n", + "import functools\n", + "from scipy.stats import poisson\n", + "import seaborn as sns\n", + "sns.set_palette(\"colorblind\")\n", + "\n", + "%load_ext autoreload\n", + "%autoreload 2" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "plt.style.use(\"style.mplstyle\")\n", + "sns.set_palette(\"colorblind\")" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "ti = 0.07\n", + "tf = 3\n", + "from LensCalcPy.parameters import *" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "def scientific_format(x):\n", + " s = \"%.1e\" % x\n", + " mantissa, exponent = s.split(\"e\")\n", + " return r\"${} \\times 10^{{{}}}$\".format(mantissa, int(exponent))\n", + "\n", + "def scientific_format_less(x):\n", + " s = \"%.1e\" % x\n", + " mantissa, exponent = s.split(\"e\")\n", + " return r\"$10^{{{}}}$\".format(int(exponent))" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.7027670115593059" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "#Fig 18 of https://arxiv.org/pdf/1701.02151.pdf\n", + "mag_arr = [26, 25, 24, 23, 22, 17.5]\n", + "efficiency_arr = [0.25, 0.37, 0.62, 0.76, 0.81, 0.81]\n", + "# efficiency_dict = {26: 0.25, 25: 0.37, 24: 0.62, 23: 0.76, 22: 0.81}\n", + "efficiency_interp = interp1d(mag_arr, efficiency_arr, kind='linear')\n", + "\n", + "#Efficiency Calculation\n", + "#Fig 22 panel 2 of https://arxiv.org/pdf/1701.02151.pdf\n", + "df = pd.read_csv('mag_distribution_hsc.csv', header=None)\n", + "magnitudes = df[0]\n", + "weights = df[1]\n", + "\n", + "weighted_avg_efficiency = sum(efficiency_interp(magnitudes) * weights) / sum(weights)\n", + "weighted_avg_efficiency" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Survey(l=121.2, b=-21.6, source_dist=770, obs_time=7, cadence = 0.035, survey_area=1.767144375, n_sources=87000000.0, efficiency=0.7027670115593059)" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "s = Survey(l, b, source_dist = ds, obs_time = obs_time, cadence = cadence, survey_area=survey_area, n_sources=n_sources, efficiency=weighted_avg_efficiency)\n", + "s" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Line of Sight" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/Users/nolansmyth/opt/anaconda3/lib/python3.9/site-packages/LensCalcPy/galaxy.py:210: RuntimeWarning: divide by zero encountered in double_scalars\n", + " return rhocM31 / ((r/rsM31) * (1 + r/rsM31)**2)\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Calculate the density values for each component using the methods from the classes\n", + "d_arr = np.linspace(0, s.source_dist, num=1000)\n", + "\n", + "rho_ffp_mw = [s.mw_model.density_stars(d) for d in d_arr]\n", + "rho_ffp_m31 = [s.m31_model.density_stars(d) for d in d_arr]\n", + "rho_dm_mw = [s.mw_model.density_dm(d) for d in d_arr]\n", + "rho_dm_m31 = [s.m31_model.density_dm(d) for d in d_arr] # Assuming you have a method density_dm in M31Model\n", + "\n", + "plt.plot(d_arr, rho_ffp_mw, label=\"MW Stellar\")\n", + "plt.plot(d_arr, rho_dm_mw, label=\"MW DM\", linestyle=\"--\", color=\"C0\")\n", + "plt.plot(d_arr, rho_ffp_m31, label=\"M31 Stellar\")\n", + "plt.plot(d_arr, rho_dm_m31, label=\"M31 DM\", linestyle=\"--\", color=\"C1\")\n", + "\n", + "plt.xlabel(r\"$d$ [kpc]\")\n", + "plt.ylabel(r\"$\\rho$ [M$_\\odot$/$\\mathrm{kpc}^3$]\")\n", + "# plt.title(r'LoS: l = ${}^\\circ$, b = ${}^\\circ$'.format(l, b), fontsize=16)\n", + "\n", + "plt.legend()\n", + "\n", + "plt.yscale(\"log\")\n", + "plt.xlim(1e0, s.source_dist)\n", + "# plt.xlim(1e-2, 1e1)\n", + "\n", + "plt.ylim(1e-10, 1e10)\n", + "# plt.tight_layout()\n", + "# plt.savefig(\"figures/line_of_sight.pdf\")\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "# Define Time Array\n", + "t_es = np.logspace(-2, 1, 30) #hours\n", + "ms = np.logspace(-15, -3, 30) #solar masses" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [], + "source": [ + "#Power law index\n", + "p = 1\n", + "s.add_ffp(p)\n", + "m_arr = np.logspace(-15, -3, 60)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Differential Rates" + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "metadata": {}, + "outputs": [], + "source": [ + "def differential_rate_mw_mass(m, tcad = 0.07, tobs= 3, finite=True, t_fwhm=True):\n", + " return s.ffp.differential_rate_mw_mass_new(m, tcad=tcad, tobs=tobs, finite=finite, epsabs=0, epsrel=1e-1, t_fwhm=t_fwhm)\n", + "\n", + "\n", + "def differential_rate_m31_mass(m, tcad = 0.07, tobs= 3, finite=True, t_fwhm=True):\n", + " return s.ffp.differential_rate_m31_mass_new(m, tcad=tcad, tobs=tobs, finite=finite, epsabs=0, epsrel=1e-1, t_fwhm=t_fwhm)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + " 0%| | 0/60 [00:00" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#FWHM Version\n", + "plt.loglog(m_arr/3e-6, d_gamma_d_ms, label=r'Finite Source, $t_{\\rm{min}} = 4.2 ~\\rm{min}$', color='k')\n", + "plt.loglog(m_arr/3e-6, d_gamma_d_ms_point, label=r'Point Source, $t_{\\rm{min}} = 4.2 ~\\rm{min}$', ls='--')\n", + "plt.loglog(m_arr/3e-6, d_gamma_d_ms_lowcad, label=r'Finite Source, $t_{\\rm{min}} = 60 ~\\rm{min}$', ls=':')\n", + "plt.loglog(m_arr/3e-6, d_gamma_d_ms_point_lowcad, label=r'Point Source, $t_{\\rm{min}} = 60 ~\\rm{min}$', ls='--', )\n", + "\n", + "# plt.loglog(m_arr/3e-6, 1.5e-33*m_arr**(-2.5), label=\"m^{-2.5}\")\n", + "# plt.loglog(m_arr/3e-6, 1.5e-35*m_arr**(-3))\n", + "# plt.loglog(m_arr/3e-6, 1.6e-27*m_arr**(-1.5))\n", + "\n", + "plt.ylim(1e-24, 1e-9)\n", + "plt.xlim(np.min(m_arr)/3e-6, 1e1)\n", + "\n", + "plt.text(3e-9, 5e-19, r\"$M^3$\", fontsize=16)\n", + "plt.text(5e-5, 4e-17, r\"$M^0$\", fontsize=16)\n", + "plt.text(1e-3, 1e-13, r\"$M^{-3/2}$\", fontsize=16)\n", + "plt.text(5e-1, 5e-18, r\"$M^{-5/2}$\", fontsize=16)\n", + "\n", + "\n", + "plt.xlabel(\"Mass [$M_{\\oplus}$]\")\n", + "plt.ylabel(r\"$d\\Gamma/dM$ [events/star/hr/mass]\")\n", + "# plt.title('MW lens, M31 source')\n", + "plt.legend()\n", + "# plt.savefig('figures/diff_rate_M_MW_FWHM.pdf')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 62, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + " 0%| | 0/60 [00:00" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#FWHM Version\n", + "#Even in high mass regime, the fwhm is different for point and finite, hence the difference in the rates there\n", + "plt.loglog(m_arr/3e-6, d_gamma_d_ms_m31, label=r'Finite Source, $t_{\\rm{min}} = 4.2 ~\\rm{min}$', color='k')\n", + "plt.loglog(m_arr/3e-6, d_gamma_d_ms_point_m31, label=r'Point Source, $t_{\\rm{min}} = 4.2 ~\\rm{min}$', ls='--')\n", + "plt.loglog(m_arr/3e-6, d_gamma_d_ms_lowcad_m31, label=r'Finite Source, $t_{\\rm{min}} = 60 ~\\rm{min}$', ls=':')\n", + "plt.loglog(m_arr/3e-6, d_gamma_d_ms_point_lowcad_m31, label=r'Point Source, $t_{\\rm{min}} = 60 ~\\rm{min}$', ls='--', )\n", + "\n", + "plt.ylim(1e-26, 1e-8)\n", + "plt.xlim(np.min(m_arr)/3e-6, 1e2)\n", + "\n", + "plt.xlabel(\"Mass [$M_{\\oplus}$]\")\n", + "plt.ylabel(r\"$d\\Gamma/dM$ [events/star/hr/mass]\")\n", + "# plt.title('M31 lens, M31 source')\n", + "plt.legend()\n", + "# plt.savefig('figures/diff_rate_M_M31_FWHM.pdf')\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 66, + "metadata": {}, + "outputs": [], + "source": [ + "hsc_diff_rate_mw_interp_log = interp1d(np.log10(m_arr), np.log10(d_gamma_d_ms))\n", + "def diff_rates_m_mw_interp(m):\n", + " return 10**hsc_diff_rate_mw_interp_log(np.log10(m))\n", + "\n", + "hsc_rates_mw = np.array([quad(diff_rates_m_mw_interp, m_arr[i],m_arr[i+1])[0] for i in range(len(m_arr)-1)])\n", + "\n", + "hsc_diff_rate_m31_interp_log = interp1d(np.log10(m_arr), np.log10(d_gamma_d_ms_m31))\n", + "def diff_rates_m_m31_interp(m):\n", + " return 10**hsc_diff_rate_m31_interp_log(np.log10(m))\n", + "\n", + "hsc_rates_m31 = np.array([quad(diff_rates_m_m31_interp, m_arr[i],m_arr[i+1])[0] for i in range(len(m_arr)-1)])\n", + "\n", + "\n", + "mean_values = (m_arr[:-1] + m_arr[1:]) / 2\n", + "rate_mw_interp_log = interp1d(np.log10(mean_values), np.log10(hsc_rates_mw), kind='quadratic')\n", + "rate_m31_interp_log = interp1d(np.log10(mean_values), np.log10(hsc_rates_m31), kind='quadratic')\n", + "\n", + "def hsc_rates_mw_interp(m):\n", + " return 10**rate_mw_interp_log(np.log10(m))\n", + "def hsc_rates_m31_interp(m):\n", + " return 10**rate_m31_interp_log(np.log10(m))" + ] + }, + { + "cell_type": "code", + "execution_count": 68, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "m_arr_dense = np.logspace(np.log10(np.min(mean_values)), np.log10(np.max(mean_values)),100)\n", + "\n", + "# norm_fac = np.sum(hsc_rates_m31+hsc_rates_mw)\n", + "norm_fac = np.sum(hsc_rates_mw_interp(m_arr_dense)+hsc_rates_m31_interp(m_arr_dense))\n", + "# norm_fac = hsc_rates_mw_interp(m_arr_dense)+hsc_rates_m31_interp(m_arr_dense)\n", + "\n", + "\n", + "# plt.plot(mean_values/3e-6, hsc_rates_mw/norm_fac, label='MW')\n", + "plt.plot(m_arr_dense/3e-6, hsc_rates_mw_interp(m_arr_dense)/norm_fac, label='MW')\n", + "\n", + "# plt.plot(mean_values/3e-6, hsc_rates_m31/norm_fac, label='M31')\n", + "plt.plot(m_arr_dense/3e-6, hsc_rates_m31_interp(m_arr_dense)/norm_fac, label='M31')\n", + "\n", + "# plt.plot(mean_values/3e-6,(hsc_rates_m31+hsc_rates_mw)/norm_fac, label='Total', ls='--')\n", + "plt.plot(m_arr_dense/3e-6,(hsc_rates_mw_interp(m_arr_dense)+hsc_rates_m31_interp(m_arr_dense))/norm_fac, label='Total', ls='--')\n", + "\n", + "\n", + "plt.xscale('log')\n", + "plt.xlim(min(m_arr)/3e-6, max(m_arr)/3e-6)\n", + "plt.xlabel(\"Mass [$M_{\\oplus}$]\")\n", + "plt.ylabel(r\"$\\Gamma(M)/\\Gamma_{\\rm{tot}}$ [events/star/hr]\")\n", + "# plt.title('MW lens w finite-source effects, M31 source')\n", + "plt.legend(loc='upper left')\n", + "# plt.savefig('figures/sensitivity_FWHM.pdf')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Naive FFP Constraints from monochromatic PBH HSC" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [], + "source": [ + "def get_n_events_pbh(m, finite=True, t_fwhm=True):\n", + " s.add_pbh(m)\n", + " dnds = s.pbh.rate_tot_new(finite=finite, t_fwhm=t_fwhm)\n", + " return s.n_sources*s.efficiency*dnds*s.obs_time\n", + "\n", + "def get_constraint_fdm(m, finite=True, t_fwhm=True):\n", + " n_events = get_n_events_pbh(m, finite=finite, t_fwhm=t_fwhm)\n", + " if n_events != 0:\n", + " return 4.74/n_events\n", + " else:\n", + " return 1\n", + "\n", + "def get_constraint_fdm_parallel(m_pbhs, finite=True, t_fwhm=True):\n", + " with Pool() as p:\n", + " f = functools.partial(get_constraint_fdm, finite=finite, t_fwhm=t_fwhm)\n", + " # results = list(p.imap(f, m_pbhs))\n", + " results = list(tqdm(p.imap(f, m_pbhs), total=len(m_pbhs)))\n", + "\n", + " return results" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 50/50 [00:14<00:00, 3.45it/s]\n" + ] + } + ], + "source": [ + "m_pbhs = np.logspace(-13, -4, 50) #solar masses\n", + "\n", + "fdm_finite = get_constraint_fdm_parallel(m_pbhs, finite=True)\n", + "# fdm_finite = np.array([get_constraint_fdm(m_pbh, finite=True) for m_pbh in tqdm(m_pbhs)])" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [], + "source": [ + "nstar = 0.14 # per cubic parsec\n", + "rho_halo = 0.3 # GeV/cm^3\n", + "M_EARTH = 3e-6 # solar masses\n", + "M_SUN = 2e30 # kg\n", + "cm_to_pc = 3.24e-19\n", + "GeV_to_kg = 1.78e-27\n", + "GeV_to_solar_mass = GeV_to_kg / M_SUN\n", + "rho_halo_Msol_pc3 = rho_halo * GeV_to_solar_mass / cm_to_pc**3\n", + "rho_halo_Mearth_pc3 = rho_halo_Msol_pc3 / M_EARTH\n", + "\n", + "f_HM = np.array(fdm_finite) / nstar * rho_halo_Msol_pc3 \n", + "\n", + "ms_earth = m_pbhs/M_EARTH # convert to earth masses\n", + "f_HM_earth = f_HM/M_EARTH # convert to earth masses" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [], + "source": [ + "s.add_ffp(1)" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [], + "source": [ + "def monochromatic_rate_ffp_new(m, return_sep=True):\n", + " mw_rate = s.ffp.differential_rate_mw_mass_new(m, efficiency=lambda t: s.efficiency, monochromatic=True, epsabs=0, epsrel=1e-1, t_fwhm=True, tcad=0.07, tobs=3)\n", + " m31_rate = s.ffp.differential_rate_m31_mass_new(m, efficiency=lambda t: s.efficiency, monochromatic=True, epsabs=0, epsrel=1e-1, t_fwhm=True, tcad=0.07, tobs=3)\n", + " \n", + " if return_sep:\n", + " return mw_rate, m31_rate\n", + " \n", + " return mw_rate + m31_rate\n", + "\n", + "def expected_nevents_ffp_monochromatic_new(m):\n", + " dnds = monochromatic_rate_ffp_new(m, return_sep=False)\n", + " n_exp = s.n_sources*s.obs_time*dnds\n", + " return n_exp" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + " 0%| | 0/50 [00:00" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.loglog(ms_earth, f_HM_earth, 'k', ls='--', label='Rescaled PBH Limit')\n", + "plt.loglog(ms_earth, our_Mffp_perstar_earth, 'blue', ls=':', label='Full Analysis')\n", + "\n", + "plt.fill_between(ms_earth, our_Mffp_perstar_earth, 1e10, alpha=0.3, color='blue')\n", + "\n", + "plt.axhline(planetary_disk_arr[1], color='gray', ls=':')\n", + "plt.fill_between(ms_earth, planetary_disk_arr[0], planetary_disk_arr[2], alpha=0.3, color='gray')\n", + "\n", + "plt.xlim(2e-7, 1e1)\n", + "plt.ylim(1e1, 1e7)\n", + "\n", + "plt.xlabel(r'Mass [$M_{\\oplus}$]')\n", + "plt.ylabel('Total UBO mass per star [M$_{\\oplus}$]')\n", + "\n", + "plt.tick_params(axis='x', which='both', top=True, direction='in')\n", + "plt.tick_params(axis='y', which='both', right=True, direction='in')\n", + "\n", + "# Set the tick spacing on the x-axis to be twice as dense\n", + "ax = plt.gca()\n", + "ax.xaxis.set_major_locator(plt.LogLocator(base=10.0, numticks=10))\n", + "\n", + "plt.legend(loc='lower right')\n", + "\n", + "# plt.savefig('figures/monochromatic_mass_FWHM.pdf')\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Number of events" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [], + "source": [ + "def get_n_events(p=1, finite=True):\n", + " s.add_ffp(p)\n", + " diff_rates_mw = np.array([s.ffp.differential_rate_mw_mass_new(m, efficiency=lambda x: weighted_avg_efficiency, t_fwhm=True, finite=finite) for m in ms])\n", + " diff_rates_m31 = np.array([s.ffp.differential_rate_m31_mass_new(m, efficiency=lambda x: weighted_avg_efficiency, t_fwhm=True, finite=finite) for m in ms])\n", + " diff_rates_interp_log = interp1d(np.log10(ms), np.log10(diff_rates_mw + diff_rates_m31))\n", + " def diff_rates_interp(m):\n", + " return 10**diff_rates_interp_log(np.log10(m))\n", + " dnds = quad(diff_rates_interp, min(ms), max(ms), epsabs=0, epsrel=1e-1)[0]\n", + " return s.n_sources*dnds*s.obs_time\n", + "\n", + "def get_n_events_t(p = 1, finite=True):\n", + " s.add_ffp(p)\n", + " diff_rates = s.get_crossing_times_rates_ffp(t_es, finite=finite)\n", + " rate_interp = interp1d(t_es, diff_rates)\n", + " dnds = quad(rate_interp, ti, tf)[0]\n", + " return s.n_sources*s.efficiency*dnds*s.obs_time" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Plots" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [], + "source": [ + "#Define range of parameters to consider\n", + "num_points = 20\n", + "p_min = 0.5\n", + "p_max = 1.5\n", + "p_values = np.linspace(p_min, p_max, num_points) " + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [], + "source": [ + "n_events_dict = {}" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [], + "source": [ + "M_sun = 1.99e30\n", + "M_earth = 5.97e24\n", + "M_EARTH = M_earth/M_sun # Earth mass in solar masses\n", + "\n", + "def get_constraint_dex(m_iso, p=1, finite=True):\n", + " if m_iso < 10**(-14.5):\n", + " raise ValueError('Mass must be greater than 10**(-14.5)')\n", + " \n", + " #Number of total events assuming 1 total per star\n", + " #Note Z doesn't matter for this part of the calculation\n", + " s.add_ffp(p)\n", + "\n", + " if p in n_events_dict:\n", + " n_events = n_events_dict[p]\n", + " else:\n", + " n_events = get_n_events(p=p, finite=finite)\n", + " n_events_dict[p] = n_events\n", + "\n", + " #New normalization for Z such that \\Gamma * t_obs = 4.74\n", + " Z = 4.74/n_events\n", + "\n", + " # Normalization check\n", + " if abs(1 - nquad(s.ffp.f_m,[[s.ffp.m_min, s.ffp.m_max]], opts={'points': [s.ffp.m_min, s.ffp.m_min*1e3, s.ffp.m_min*1e6, s.ffp.m_max]})[0]) > 1e-2:\n", + " raise ValueError('Normalization of mass function is off by more than 1e-2')\n", + "\n", + " #Porportion of ISOs within threshold\n", + " N_ffp_dex = Z * nquad(s.ffp.f_m,[[m_iso*10**(-0.5),m_iso*10**(0.5)]], opts={'points': [s.ffp.m_min, s.ffp.m_min*1e3, s.ffp.m_min*1e6, s.ffp.m_max], 'epsabs':0, 'epsrel':1e-1})[0]\n", + "\n", + " #Maximum number of allowed ISOs per star of mass m_iso or above\n", + " return N_ffp_dex" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "4337.298247869237" + ] + }, + "execution_count": 25, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "get_constraint_dex(1e-5)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The 95% C.L. is reached when Nexp <= 2.9999999999999796\n" + ] + } + ], + "source": [ + "confidence_level_threshold = 0.05\n", + "\n", + "Nexp = 1\n", + "n_events = 0\n", + "\n", + "# Calculate the cumulative probability until it exceeds the threshold\n", + "while True:\n", + " cumulative_prob = 0\n", + " for i in range(n_events+1):\n", + " cumulative_prob += poisson.pmf(i, Nexp)\n", + "\n", + " # cumulative_prob = poisson.pmf(1, Nexp) \n", + " if cumulative_prob <= confidence_level_threshold:\n", + " break\n", + " Nexp += 0.01 \n", + "\n", + "print(f\"The 95% C.L. is reached when Nexp <= {Nexp}\")" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Constraints on local ISO Density" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "upper limit on number density of ISOs in au^-3 from HSC PBH constrint\n", + "1.7481907401146802e-11\n" + ] + } + ], + "source": [ + "#https://arxiv.org/pdf/1910.08608.pdf handwavy constraint in au^-3\n", + "\n", + "kpc2au = 2.06e8\n", + "m_pbh = 1e-10\n", + "fpbh = get_constraint_fdm(m_pbh, finite=True)\n", + "local_dm_density = density_mw(dist_mw(0))\n", + "\n", + "print(\"upper limit on number density of ISOs in au^-3 from HSC PBH constrint\")\n", + "print(local_dm_density*kpc2au**(-3)*fpbh/m_pbh)" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Power law plots" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "21.04411106964539\n", + "14.872261024601801\n" + ] + } + ], + "source": [ + "#Pg 10 of https://arxiv.org/pdf/1910.08608.pdf\n", + "dohanyi_alpha = 2.5\n", + "dohanyi_p = dohanyi_alpha/3 \n", + "dohanyi_n = 7.2e-11\n", + "\n", + "MOA_Z = 2.18\n", + "MOA_p = 0.96\n", + "KMT_Z = 0.4\n", + "KMT_p = 0.92\n", + "\n", + "N_MOA = quad(lambda x: MOA_Z*(10**x/8)**(-MOA_p), np.log10(0.33), np.log10(6660))[0]\n", + "N_KMT = quad(lambda x: KMT_Z*(10**x/38)**(-KMT_p), np.log10(0.33), np.log10(6660))[0]\n", + "\n", + "print(N_MOA)\n", + "print(N_KMT)" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [], + "source": [ + "def get_power_law(p, finite=True):\n", + " n_events = get_n_events(p=p, finite=finite)\n", + " s.add_ffp(p)\n", + "\n", + " #New normalization for Z such that \\Gamma * t_obs = 4.74\n", + " Z = 4.74/n_events * s.ffp.Z\n", + "\n", + " m_norm = s.ffp.M_norm\n", + "\n", + " return Z, m_norm\n", + "\n", + "def dN_dlogM(Z, M, M_norm, p):\n", + " return Z * (M/M_norm)**-p" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [], + "source": [ + "z_133, m_norm_133 = get_power_law(p=1.33)" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [], + "source": [ + "z_066, m_norm_066 = get_power_law(p=0.66)" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [], + "source": [ + "M_arr1 = np.logspace(-6, -3, 100)\n", + "M_arr2 = np.logspace(-24, -20, 100)\n", + "M_arr3 = np.logspace(-24, -3, 100)\n", + "\n", + "dN_dlogM_arr_MOA = np.array([dN_dlogM(2.18, M, 3e-6*8, 0.96-0.27) for M in M_arr1])\n", + "dN_dlogM_arr_MOA2 = np.array([dN_dlogM(2.18, M, 3e-6*8, 0.96+0.47) for M in M_arr1])\n", + "\n", + "dN_dlogM_arr_KMT = np.array([dN_dlogM(0.4, M, 3e-6*38, 0.9) for M in M_arr1])\n", + "dN_dlogM_arr_KMT2 = np.array([dN_dlogM(0.4, M, 3e-6*38, 1.2) for M in M_arr1])\n", + "\n", + "dN_dlogM_arr_Do = np.array([dN_dlogM(3.3e16, M, 3e-17 * 3e-6, 0.66) for M in M_arr2])\n", + "dN_dlogM_arr_Do2 = np.array([dN_dlogM(3.3e16, M, 3e-17 * 3e-6, 1.33) for M in M_arr2])\n", + "\n", + "dN_dlogM_arr_Do = np.array([dN_dlogM(3.3e16, M, 3e-17 * 3e-6, 0.92-0.06) for M in M_arr2])\n", + "dN_dlogM_arr_Do2 = np.array([dN_dlogM(3.3e16, M, 3e-17 * 3e-6, 0.92+0.06) for M in M_arr2])\n", + "\n", + "dN_dlogM_arr_fit = np.array([dN_dlogM(0.4, M, 3e-6*38, 0.92) for M in M_arr3])\n", + "dN_dlogM_arr_fiducial = np.array([dN_dlogM(10, M, M_EARTH, 1) for M in M_arr3])\n", + "\n", + "dN_dlogM_arr_ours = np.array([dN_dlogM(z_133, M, m_norm_133, 1.33) for M in M_arr3])\n", + "dN_dlogM_arr_ours2 = np.array([dN_dlogM(z_066, M, m_norm_066, 0.66) for M in M_arr3])\n", + "\n", + "do_idx = np.where(abs(dN_dlogM_arr_Do-dN_dlogM_arr_Do2) == min(abs(dN_dlogM_arr_Do-dN_dlogM_arr_Do2)))[0][0]\n", + "kmt_idx = np.where(abs(dN_dlogM_arr_KMT-dN_dlogM_arr_KMT2) == min(abs(dN_dlogM_arr_KMT-dN_dlogM_arr_KMT2)))[0][0]\n", + "moa_idx = np.where(abs(dN_dlogM_arr_MOA-dN_dlogM_arr_MOA2) == min(abs(dN_dlogM_arr_MOA-dN_dlogM_arr_MOA2)))[0][0]" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [], + "source": [ + "m_values = np.logspace(-14, -4, 16) #in solar masses\n", + "local_stellar_density = 0.1 * 1e9 # number of stars per cubic kpc\n", + "# local_stellar_density = 0.04 * 1e9 # solar mass per cubic kpc\n", + "\n", + "p_values_mass = np.array([0.66, 1, 1.33])\n", + "\n", + "def get_num_density(Z, M, M_norm, p):\n", + " '''\n", + " Returns the number density of objects within 1 dex of M in au^-3\n", + " '''\n", + " M_arr = np.linspace(np.log10(M)-0.6, np.log10(M)+0.6, 100)\n", + " dN_dlogM_arr = np.array([dN_dlogM(Z, 10**m, M_norm, p) for m in M_arr])\n", + " interp = interp1d(M_arr, dN_dlogM_arr)\n", + " return quad(interp, np.log10(M)-0.5, np.log10(M)+0.5)[0] * local_stellar_density * kpc2au ** (-3)" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_16077/4231648228.py:14: IntegrationWarning: The maximum number of subdivisions (50) has been achieved.\n", + " If increasing the limit yields no improvement it is advised to analyze \n", + " the integrand in order to determine the difficulties. If the position of a \n", + " local difficulty can be determined (singularity, discontinuity) one will \n", + " probably gain from splitting up the interval and calling the integrator \n", + " on the subranges. Perhaps a special-purpose integrator should be used.\n", + " return quad(interp, np.log10(M)-0.5, np.log10(M)+0.5)[0] * local_stellar_density * kpc2au ** (-3)\n" + ] + } + ], + "source": [ + "num_densities_MOA = np.array([get_num_density(2.18, M, 3e-6*8, 0.96) for M in m_values])\n", + "num_densities_KMT = np.array([get_num_density(0.4, M, 3e-6*38, 0.92) for M in m_values])\n", + "num_densities_Do = np.array([get_num_density(3.3e16, M, 3e-17 * 3e-6, 0.83) for M in m_values])\n", + "num_densities_Fiducial = np.array([get_num_density(10, M, 3e-6, 1) for M in m_values])" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [], + "source": [ + "n_objects_dict_mass = {}\n", + "for p_val in p_values_mass:\n", + " n_objects_dict_mass[p_val] = [get_constraint_dex(m, p=p_val) for m in m_values]" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "14457660.826230787" + ] + }, + "execution_count": 37, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "#Constraint on 1e-4 * Earth mass objects for p = 1\n", + "# get_constraint_dex(m_iso = 1e-4*M_EARTH, p=1)*local_stellar_density * kpc2au ** (-3)\n", + "get_constraint_dex(m_iso = 1e-4*M_EARTH, p=1)*local_stellar_density * (1e-9) # in pc^-3\n" + ] + }, + { + "cell_type": "code", + "execution_count": 93, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "1.4111867270138727e-11" + ] + }, + "execution_count": 93, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "#Constraint on 1e-2 * Earth mass objects for p = 1\n", + "# get_constraint_dex(m_iso = 1e-2*M_EARTH, p=1)*local_stellar_density * kpc2au ** (-3)" + ] + }, + { + "cell_type": "code", + "execution_count": 94, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "113643.60800000001" + ] + }, + "execution_count": 94, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "1.3*10**(-11)*kpc2au **3 * (1e-9) #in pc^-3" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "au3_to_pc3 = 1.0 / (206265.0 ** 3)\n", + "\n", + "plt.figure()\n", + "\n", + "# Loop over the dictionary items\n", + "for p, n_objects_arr in n_objects_dict_mass.items():\n", + " num_densities = np.array(n_objects_arr) * local_stellar_density * kpc2au ** (-3)\n", + "\n", + " plt.plot(m_values/M_EARTH, num_densities, label=f'$p = $ {p:.2f}')\n", + " plt.fill_between(m_values/M_EARTH, num_densities, 1, alpha=0.3)\n", + "\n", + "plt.plot(m_values/M_EARTH, num_densities_Do, label='ISO + Cascade, $p = 0.83$', color='gray', linestyle='-.')\n", + "plt.plot(m_values/M_EARTH, num_densities_KMT, label='KMT + ISO, $p = 0.92$', color='gray', linestyle=':')\n", + "plt.plot(m_values/M_EARTH, num_densities_MOA, label='MOA, $p = 0.96$', color='gray', linestyle='--')\n", + "plt.plot(m_values/M_EARTH, num_densities_Fiducial, label='Fiducial, $p = 1.0$', color='black', linestyle='--')\n", + "\n", + "\n", + "plt.yscale('log')\n", + "plt.xscale('log')\n", + "\n", + "plt.ylabel(r'Number Density [au$^{-3}$]')\n", + "plt.xlabel(r'$\\rm{Mass} [ M_\\oplus ]$')\n", + "# plt.title(r'Max Number Density of UBOs within 1 Dex')\n", + "\n", + "# plt.xlim([min(m_values)/M_EARTH, max(m_values)/M_EARTH])\n", + "plt.xlim([1e-7, 1e-1])\n", + "\n", + "\n", + "#min and max number density in au^-3\n", + "ymin = 5e-15\n", + "ymax = 1e-6\n", + "plt.ylim([ymin, ymax])\n", + "\n", + "plt.legend(loc='lower left', frameon=False)\n", + "\n", + "plt.tick_params(axis='both', direction='in', which='both', bottom=True, top=True, left=True, right=True)\n", + "\n", + "# creating a twin axis\n", + "ax2 = plt.twinx()\n", + "ax2.set_ylabel(r'Number Density [pc$^{-3}$]')\n", + "\n", + "# set the same y-scale as the left side\n", + "ax2.set_yscale('log')\n", + "\n", + "# convert y limit from au^-3 to pc^-3 using conversion_factor\n", + "plt.ylim([ymin/au3_to_pc3, ymax/au3_to_pc3])\n", + "\n", + "# ticks on right side\n", + "ax2.tick_params(axis='y', direction='in', which='both')\n", + "\n", + "# plt.savefig('figures/number_density_iso_mass_FWHM.pdf')\n", + "\n", + "plt.show()" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Predicted Number of Events" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Velocity Dependence" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [], + "source": [ + "p = 1.0\n", + "# p = 2.0\n", + "f = Ffp(p, l=l, b=b)\n", + "ts = np.logspace(-2, 1, num=40)\n", + "ti = 0.07\n", + "tf = 3" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [], + "source": [ + "def compute_diff_rate_mw(t):\n", + " return f.differential_rate_mw(t, finite=True, t_fwhm=True)\n", + "\n", + "def compute_diff_rate_m31(t):\n", + " return f.differential_rate_m31(t, finite=True, t_fwhm=True)\n", + "\n", + "def compute_diff_rate_mw_60(t):\n", + " return f.differential_rate_mw(t, finite=True, v_disp=60, t_fwhm=True)\n", + "\n", + "def compute_diff_rate_m31_120(t):\n", + " return f.differential_rate_m31(t, finite=True, v_disp=120, t_fwhm=True)\n", + "\n", + "def compute_diff_rate_mw_15(t):\n", + " return f.differential_rate_mw(t, finite=True, v_disp=15, t_fwhm=True)\n", + "\n", + "def compute_diff_rate_m31_30(t):\n", + " return f.differential_rate_m31(t, finite=True, v_disp=30, t_fwhm=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + " 0%| | 0/40 [00:00" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# TFWHM\n", + "fig, axs = plt.subplots(2)\n", + "ti = 0.07\n", + "tf = 3\n", + "\n", + "# First subplot\n", + "axs[0].loglog(ts, diff_rates_finite_mw_60*z_earth, label=\"60km/s\", linestyle='-.')\n", + "axs[0].loglog(ts, diff_rates_finite_mw*z_earth, label=\"30km/s\", linestyle='-')\n", + "axs[0].loglog(ts, diff_rates_finite_mw_15*z_earth, label=\"15km/s\", linestyle=':')\n", + "\n", + "axs[0].axvline(ti, color='black', linestyle='--')\n", + "axs[0].axvline(tf, color='black', linestyle='--')\n", + "\n", + "axs[0].set_title('Milky Way')\n", + "# axs[0].set_xlim(min(ts)*1.8, max(ts))\n", + "axs[0].set_xlim(min(ts)*3, max(ts))\n", + "\n", + "# axs[0].set_ylim(1e-24,5e-19)\n", + "axs[0].set_ylim(5e-26*z_earth,1e-19*z_earth)\n", + "\n", + "axs[0].legend(loc=(2e-1, 1e-13))\n", + "\n", + "# Second subplot\n", + "axs[1].loglog(ts, diff_rates_finite_m31_120*z_earth, label=\"120km/s \", linestyle='-.')\n", + "axs[1].loglog(ts, diff_rates_finite_m31*z_earth, label=\"60km/s \", linestyle='-')\n", + "axs[1].loglog(ts, diff_rates_finite_m31_30*z_earth, label=\"30km/s \", linestyle=':')\n", + "\n", + "axs[1].axvline(ti, color='black', linestyle='--')\n", + "axs[1].axvline(tf, color='black', linestyle='--')\n", + "\n", + "axs[1].set_xlabel(r\"$t_{\\rm{FWHM}}$ [h]\")\n", + "# axs[1].set_xlabel(r\"$t_{\\rm{FWHM}}$ [h]\")\n", + "axs[1].set_title('M31')\n", + "axs[1].set_xlim(min(ts)*3, max(ts))\n", + "\n", + "axs[1].set_ylim(1e-29*z_earth,1e-20*z_earth)\n", + "axs[1].legend(loc=(2e-1, 1e-16))\n", + "\n", + "fig.text(0.01, 0.5, r\"$d\\Gamma/dt$ [events/star/hr/hr]\", va='center', rotation='vertical', fontsize=24) \n", + "\n", + "# plt.savefig('figures/differential_rate_velocity_FWHM.pdf')\n", + "# Show plot\n", + "# plt.tight_layout()\n", + "plt.show()\n" + ] + }, + { + "cell_type": "code", + "execution_count": 92, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Create a figure and a grid of subplots\n", + "fig, axs = plt.subplots(2)\n", + "ti = 0.07\n", + "tf = 3\n", + "\n", + "# First subplot\n", + "axs[0].loglog(ts, diff_rates_finite_mw_60*z_earth, label=\"60km/s\", linestyle='-.')\n", + "axs[0].loglog(ts, diff_rates_finite_mw*z_earth, label=\"30km/s\", linestyle='-')\n", + "axs[0].loglog(ts, diff_rates_finite_mw_15*z_earth, label=\"15km/s\", linestyle=':')\n", + "\n", + "axs[0].axvline(ti, color='black', linestyle='--')\n", + "axs[0].axvline(tf, color='black', linestyle='--')\n", + "\n", + "axs[0].set_title('Milky Way')\n", + "axs[0].set_xlim(min(ts)*1.8, max(ts))\n", + "\n", + "# axs[0].set_ylim(1e-24,5e-19)\n", + "axs[0].set_ylim(5e-26*z_earth,1e-19*z_earth)\n", + "\n", + "axs[0].legend(loc='lower center')\n", + "\n", + "# Second subplot\n", + "axs[1].loglog(ts, diff_rates_finite_m31_120*z_earth, label=\"120km/s \", linestyle='-.')\n", + "axs[1].loglog(ts, diff_rates_finite_m31*z_earth, label=\"60km/s \", linestyle='-')\n", + "axs[1].loglog(ts, diff_rates_finite_m31_30*z_earth, label=\"30km/s \", linestyle=':')\n", + "\n", + "axs[1].axvline(ti, color='black', linestyle='--')\n", + "axs[1].axvline(tf, color='black', linestyle='--')\n", + "\n", + "axs[1].set_xlabel(r\"$t_{\\rm{dur}}$ [h]\")\n", + "# axs[1].set_xlabel(r\"$t_{\\rm{FWHM}}$ [h]\")\n", + "axs[1].set_title('M31')\n", + "axs[1].set_xlim(min(ts)*1.8, max(ts))\n", + "axs[1].set_ylim(1e-29*z_earth,1e-20*z_earth)\n", + "axs[1].legend(loc='lower center')\n", + "\n", + "fig.text(0.01, 0.5, r\"$d\\Gamma/dt$ [events/star/hr/hr]\", va='center', rotation='vertical', fontsize=24) \n", + "\n", + "# plt.savefig('figures/differential_rate_velocity_new.pdf')\n", + "# Show plot\n", + "# plt.tight_layout()\n", + "plt.show()\n" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Create a figure and a grid of subplots\n", + "fig, axs = plt.subplots(2)\n", + "ti = 0.07\n", + "tf = 3\n", + "\n", + "# First subplot\n", + "axs[0].loglog(ts, diff_rates_finite_mw_60*z_earth, label=\"60km/s\", linestyle='-.')\n", + "axs[0].loglog(ts, diff_rates_finite_mw*z_earth, label=\"30km/s\", linestyle='-')\n", + "axs[0].loglog(ts, diff_rates_finite_mw_15*z_earth, label=\"15km/s\", linestyle=':')\n", + "\n", + "axs[0].axvline(ti, color='black', linestyle='--')\n", + "axs[0].axvline(tf, color='black', linestyle='--')\n", + "\n", + "axs[0].set_title('Milky Way')\n", + "axs[0].set_xlim(min(ts)*1.8, max(ts))\n", + "\n", + "# axs[0].set_ylim(1e-24,5e-19)\n", + "axs[0].set_ylim(5e-26*z_earth,1e-19*z_earth)\n", + "\n", + "axs[0].legend(loc='lower center')\n", + "\n", + "# Second subplot\n", + "axs[1].loglog(ts, diff_rates_finite_m31_120*z_earth, label=\"120km/s \", linestyle='-.')\n", + "axs[1].loglog(ts, diff_rates_finite_m31*z_earth, label=\"60km/s \", linestyle='-')\n", + "axs[1].loglog(ts, diff_rates_finite_m31_30*z_earth, label=\"30km/s \", linestyle=':')\n", + "\n", + "axs[1].axvline(ti, color='black', linestyle='--')\n", + "axs[1].axvline(tf, color='black', linestyle='--')\n", + "\n", + "axs[1].set_xlabel(r\"$t_{\\rm{FWHM}}$ [h]\")\n", + "axs[1].set_title('M31')\n", + "axs[1].set_xlim(min(ts)*1.8, max(ts))\n", + "axs[1].set_ylim(1e-29*z_earth,1e-20*z_earth)\n", + "axs[1].legend(loc='lower center')\n", + "\n", + "fig.text(0.01, 0.5, r\"$d\\Gamma/dt$ [events/star/hr/hr]\", va='center', rotation='vertical', fontsize=24) \n", + "\n", + "# plt.savefig('figures/differential_rate_velocity_new.pdf')\n", + "# Show plot\n", + "# plt.tight_layout()\n", + "plt.show()\n" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "base", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.7" + }, + "orig_nbformat": 4 + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/examples/tesstimates.ipynb b/examples/tesstimates.ipynb index 550b96c..372d5ab 100644 --- a/examples/tesstimates.ipynb +++ b/examples/tesstimates.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 24, + "execution_count": 1, "metadata": {}, "outputs": [], "source": [ @@ -14,7 +14,7 @@ }, { "cell_type": "code", - "execution_count": 25, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ @@ -24,7 +24,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 3, "metadata": {}, "outputs": [], "source": [ @@ -34,7 +34,7 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 4, "metadata": {}, "outputs": [], "source": [ @@ -44,7 +44,7 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 5, "metadata": {}, "outputs": [], "source": [ @@ -54,12 +54,12 @@ }, { "cell_type": "code", - "execution_count": 41, + "execution_count": 12, "metadata": {}, "outputs": [ { "data": { - "image/png": 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+ "image/png": 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", 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" ] @@ -166,9 +166,9 @@ "\n", "ax.text(0.5, 0.05, \"Micro-lensing\", va = \"bottom\", ha = \"center\", color='C0', transform=ax.transAxes)\n", "\n", - "plt.loglog(m_vals_tess, f_bound_vals_tess, 'green', ls=':')\n", - "plt.fill_between(m_vals_tess, f_bound_vals_tess, 1, alpha=0.3, color='green')\n", - "plt.text(1.2e-7, 2e-2, \"TESS (proj)\",fontsize=12, ha='center', va='bottom', rotation = 0, color='green')\n", + "# plt.loglog(m_vals_tess, f_bound_vals_tess, 'green', ls=':')\n", + "# plt.fill_between(m_vals_tess, f_bound_vals_tess, 1, alpha=0.3, color='green')\n", + "# plt.text(1.2e-7, 2e-2, \"TESS (proj)\",fontsize=12, ha='center', va='bottom', rotation = 0, color='green')\n", "\n", "\n", "plt.loglog(m_vals_ogle, f_bound_vals_ogle, 'blue', ls=':')\n", @@ -182,7 +182,7 @@ "headertxt += \"\\n Columns: PBH mass [Muns], PBH fraction f_PBH\"\n", "# np.savetxt(\"bounds/Microlensing.txt\", np.c_[Mgrid, envelope], header=headertxt)\n", "# plt.savefig(\"figures/tess_pbh_projections.pdf\", bbox_inches='tight')\n", - "plt.savefig(\"figures/tesstimates.pdf\", bbox_inches='tight')\n", + "# plt.savefig(\"figures/tesstimates.pdf\", bbox_inches='tight')\n", "\n", " \n", "plt.show()" @@ -190,12 +190,22 @@ }, { "cell_type": "code", - "execution_count": 90, + "execution_count": 11, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", "text/plain": [ "
" ] @@ -234,10 +244,10 @@ "\n", "idx=10\n", "idx2=-4\n", - "plt.loglog(m_vals_tess[idx:idx2], f_bound_vals_tess[idx:idx2], 'green', ls=':')\n", - "plt.fill_between(m_vals_tess[idx:idx2], f_bound_vals_tess[idx:idx2], 1, alpha=0.3, color='green')\n", + "# plt.loglog(m_vals_tess[idx:idx2], f_bound_vals_tess[idx:idx2], 'green', ls=':')\n", + "# plt.fill_between(m_vals_tess[idx:idx2], f_bound_vals_tess[idx:idx2], 1, alpha=0.3, color='green')\n", "\n", - "plt.text(1.2e-7, 1e-2, \"TESS (proj)\",fontsize=12, ha='center', va='bottom', rotation = 0, color='green')\n", + "# plt.text(1.2e-7, 1e-2, \"TESS (proj)\",fontsize=12, ha='center', va='bottom', rotation = 0, color='green')\n", "\n", "plt.text(3e-5, 4e-3, \"Niikura et al.\",fontsize=12, ha='center', va='bottom', rotation = 0, color='blue')\n", "plt.text(5e-10, 2e-1, \"Existing Constraints\",fontsize=12, ha='center', va='bottom', rotation = 0, color='Gray')\n", @@ -245,13 +255,14 @@ "\n", "\n", "plt.xlim(1e-12, 1e-1)\n", + "plt.ylim(1e-3, 1)\n", "\n", "ax.set_xlabel(r'$M_\\mathrm{PBH}$ [$M_\\odot$]')\n", "plt.ylabel(r'$f_\\mathrm{PBH} = \\Omega_\\mathrm{PBH}/\\Omega_\\mathrm{DM}$')\n", "\n", "\n", "plt.loglog(m_vals_ogle, f_bound_vals_ogle, 'blue', ls=':')\n", - "plt.savefig(\"figures/tesstimates.pdf\", bbox_inches='tight')\n", + "# plt.savefig(\"figures/tesstimates.pdf\", bbox_inches='tight')\n", "\n" ] }, diff --git a/nbs/00_pbh.ipynb b/nbs/00_pbh.ipynb index 1708a49..57fee09 100644 --- a/nbs/00_pbh.ipynb +++ b/nbs/00_pbh.ipynb @@ -72,7 +72,7 @@ }, { "cell_type": "code", - "execution_count": 301, + "execution_count": 677, "metadata": {}, "outputs": [], "source": [ @@ -141,19 +141,12 @@ " ut = self.umin_upper_bound(d) if finite else self.u_t\n", " if ut <= umin:\n", " return 0\n", - " if t_e: \n", - " #Calculate radial velocity in terms of einstein crossing time\n", - " v_rad = einstein_rad(d, self.mass, self.ds) * kpctokm / (t * htosec) \n", - " t_duration = max(ut, self.umin_upper_bound(d)) * 2 * einstein_rad(d, self.mass) * kpctokm / v_rad / htosec #event duration in hours\n", - "\n", - " if t_duration > tmax or t_duration < tmin:\n", - " return 0 \n", - " elif t_fwhm:\n", + " if t_fwhm:\n", " t_E = t_e_from_fwhm(t, umin, finite, rho_func(self.mass, d, self.ds))\n", " v_rad = einstein_rad(d, self.mass, self.ds) * kpctokm / (t_E * htosec)\n", " else:\n", " #Calculate radial velocity in terms of event duration (t_fwhm)\n", - " v_rad = velocity_radial(d, self.mass, umin, t * htosec, ut) \n", + " v_rad = velocity_radial(d, self.mass, umin, t * htosec, ut, self.ds) \n", " if v_disp is None: \n", " v_disp = model.velocity_dispersion_dm(r)\n", " # v_disp = model.velocity_dispersion_nfw(r)\n", @@ -200,12 +193,10 @@ " # Second integral (over u) - bounds given by d\n", " def second_integral(d, t):\n", " if finite:\n", - " # u_min, u_max = 0, self.umin_upper_bound(d)[0]\n", - " u_min, u_max = 0, self.umin_upper_bound(d)[0]\n", - "\n", + " u_min, u_max = 0, self.umin_upper_bound(d)\n", " else:\n", " u_min, u_max = 0, self.u_t\n", - " \n", + "\n", " result, error = quad(inner_integrand, u_min, u_max, args=(d, t), epsabs=epsabs, epsrel=epsrel)\n", "\n", " return result\n", @@ -213,6 +204,7 @@ " # Outermost integral (over d)\n", " def outer_integral(t):\n", " d_min, d_max = 0, self.d_upper_bound() if finite else self.ds\n", + "\n", " result, error = quad(second_integral, d_min, d_max, args=(t,), epsabs=epsabs, epsrel=epsrel)\n", " # return result * self.mass_function(mf) * mf * np.log(10) # multiply by mass function and by dlogm * m\n", " return result \n", @@ -291,7 +283,7 @@ " return 0 \n", " \n", " #Calculate radial velocity in terms of event duration \n", - " v_rad = velocity_radial(d, mf, umin, t * htosec, ut) \n", + " v_rad = velocity_radial(d, mf, umin, t * htosec, ut, self.ds) \n", " if v_disp is None: \n", " v_disp = model.velocity_dispersion_dm(r)\n", " # if v_rad/v_disp > 10:\n", @@ -357,11 +349,12 @@ " if t_fwhm:\n", " ut = u_fwhm_interp([rho_func(self.mass, d, self.ds), umin])[0]\n", "\n", - " A = 2/(ut**2 - umin**2)**0.5 * model.density_dm(d, self.l, self.b) / (self.mass * (v_disp*htosec)**2 ) * (2 * einstein_rad(d, self.mass, self.ds)* (ut**2 - umin**2)**0.5)**4 * kpctokm**2\n", - " B = (2*einstein_rad(d, self.mass, self.ds) * kpctokm * (ut**2 - umin**2)**0.5)**2 / (v_disp*htosec)**2\n", + " A = 2/(ut**2 - umin**2)**0.5 * model.density_dm(d, self.l, self.b) / (self.mass * (v_disp*htosec/kpctokm)**2 ) * (2 * einstein_rad(d, self.mass, self.ds)* (ut**2 - umin**2)**0.5)**4 \n", + " B = (2*einstein_rad(d, self.mass, self.ds) * (ut**2 - umin**2)**0.5)**2 / (v_disp*htosec/kpctokm)**2\n", "\n", " def integral_t(t):\n", - " return A/(2*B) * (np.exp(-B/t**2 )/t - np.pi**(1/2) * erf(B**(1/2)/t) /(2* B**(1/2)))\n", + " # return A/(2*B) * (np.exp(-B/t**2 )/t - np.pi**(1/2) * erf(B**(1/2)/t) /(2* B**(1/2)))\n", + " return A*(np.exp(-B/t**2 )/(2*B*t) - np.pi**(0.5) * erf(B**(0.5)/t) /(4* B**(1.5)))\n", "\n", " return integral_t(tobs) - integral_t(tcad)\n", " \n", @@ -375,10 +368,8 @@ " def second_integral(d):\n", " if finite:\n", " u_min, u_max = 0, self.umin_upper_bound(d)[0]\n", - "\n", " else:\n", - " u_min, u_max = 0, self.u_t\n", - " \n", + " u_min, u_max = 0, self.u_t \n", " result, error = quad(inner_integrand, u_min, u_max, args=(d), epsabs=epsabs, epsrel=epsrel)\n", "\n", " return result\n", @@ -412,16 +403,65 @@ }, { "cell_type": "code", - "execution_count": 305, + "execution_count": 678, "metadata": {}, "outputs": [], "source": [ - "m_lens = 3e-6\n", - "pbh = Pbh(m_lens, 1, l=l, b=b, ds=ds)\n", - "# pbh = Pbh(m_lens, 1, l=1.0, b=-1.03, ds=8.5, lognorm=True, sigma=0.1, u_t=1)\n", + "m_lens = 3e-5\n", + "# pbh = Pbh(m_lens, 1, l=l, b=b, ds=ds)\n", + "pbh = Pbh(m_lens, 1, l=1.0, b=-1.03, ds=8.5, lognorm=True, sigma=0.1, u_t=1)\n", + "\n", "ts = np.logspace(-2,1,50)" ] }, + { + "cell_type": "code", + "execution_count": 679, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "5.454626685767838e-10" + ] + }, + "execution_count": 679, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "pbh.rate_mw_new(epsabs=0, epsrel=1e-1, tcad=0.07, tobs=100, finite=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 680, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_63168/431667249.py:122: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", + " result, error = quad(inner_integrand, u_min, u_max, args=(d, t), epsabs=epsabs, epsrel=epsrel)\n" + ] + }, + { + "data": { + "text/plain": [ + "5.453591959005619e-10" + ] + }, + "execution_count": 680, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "pbh.rate_mw(epsabs=0, epsrel=1e-1, tcad=0.07, tobs=100, finite=True)" + ] + }, { "cell_type": "code", "execution_count": 83, diff --git a/nbs/01_ffp.ipynb b/nbs/01_ffp.ipynb index b251609..92d3368 100644 --- a/nbs/01_ffp.ipynb +++ b/nbs/01_ffp.ipynb @@ -31,7 +31,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ @@ -44,6 +44,7 @@ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import pandas as pd\n", + "from math import erf\n", "\n", "from scipy.integrate import quad, nquad, dblquad, tplquad\n", "from scipy.interpolate import interp1d, interp2d\n", @@ -60,18 +61,9 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 3, "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "The autoreload extension is already loaded. To reload it, use:\n", - " %reload_ext autoreload\n" - ] - } - ], + "outputs": [], "source": [ "%load_ext autoreload\n", "%autoreload 2" @@ -79,7 +71,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 4, "metadata": {}, "outputs": [], "source": [ @@ -158,22 +150,20 @@ " m = 10**log10m\n", " return self.Z * (m/1)**-self.p\n", "\n", - " def differential_rate_integrand(self, umin, d, t, mf, model, finite=False, v_disp=None, t_e=False, tmax=np.inf, tmin=0):\n", + " def differential_rate_integrand(self, umin, d, t, mf, model, finite=False, v_disp=None, t_e=False, t_fwhm=False):\n", " r = model.dist_center(d, self.l, self.b)\n", " ut = self.umin_upper_bound(d, mf) if finite else self.u_t\n", " if ut <= umin:\n", " return 0\n", - " if t_e: \n", - " #Calculate radial velocity in terms of einstein crossing time\n", - " v_rad = einstein_rad(d, mf, self.ds) * kpctokm / (t * htosec) \n", - " #crossing duration determined by extent of source in extreme finite limit\n", - " t_duration = max(ut, self.umin_upper_bound(d, mf)) * 2 * einstein_rad(d, mf) * kpctokm / v_rad / htosec #event duration in hours\n", "\n", - " if t_duration > tmax or t_duration < tmin:\n", + " if t_fwhm:\n", + " ut = u_fwhm_interp([rho_func(mf, d, self.ds), umin])[0] if finite else uhm_point(umin)\n", + " if ut <= umin:\n", " return 0 \n", - " else:\n", - " #Calculate radial velocity in terms of event duration (t_fwhm)\n", - " v_rad = velocity_radial(d, mf, umin, t * htosec, ut) \n", + " \n", + " #Calculate radial velocity in terms of event duration (t_fwhm)\n", + " v_rad = velocity_radial(d, mf, umin, t * htosec, ut, self.ds) \n", + "\n", " if v_disp is None: \n", " v_disp = model.velocity_dispersion_stars(r)\n", " return 2 * (1 / (ut**2 - umin**2)**0.5 *\n", @@ -226,14 +216,14 @@ " return result\n", "\n", " \n", - " def differential_rate_mw(self, t, finite=True, v_disp=None, t_e=False, epsabs = 1.49e-08, epsrel = 1.49e-08, tmax=np.inf, tmin=0):\n", + " def differential_rate_mw(self, t, finite=True, v_disp=None, t_e=False, epsabs = 1.49e-08, epsrel = 1.49e-08, t_fwhm=False):\n", " def integrand_func(umin, d, mf, t):\n", - " return self.differential_rate_integrand(umin, d, t, mf, self.mw_model, finite=finite, v_disp=v_disp, t_e=t_e, tmax=tmax, tmin=tmin)\n", + " return self.differential_rate_integrand(umin, d, t, mf, self.mw_model, finite=finite, v_disp=v_disp, t_e=t_e, t_fwhm=t_fwhm)\n", " return self.differential_rate(t, integrand_func, finite=finite, epsabs=epsabs, epsrel=epsrel)\n", "\n", - " def differential_rate_m31(self, t, finite=True, v_disp=None, epsabs = 1.49e-08, epsrel = 1.49e-08,):\n", + " def differential_rate_m31(self, t, finite=True, v_disp=None, epsabs = 1.49e-08, epsrel = 1.49e-08, t_fwhm=False):\n", " def integrand_func(umin, d, mf, t):\n", - " return self.differential_rate_integrand(umin, d, t, mf, self.m31_model, finite=finite, v_disp=v_disp)\n", + " return self.differential_rate_integrand(umin, d, t, mf, self.m31_model, finite=finite, v_disp=v_disp, t_fwhm=t_fwhm)\n", " return self.differential_rate(t, integrand_func, finite=finite, epsabs=epsabs, epsrel=epsrel)\n", "\n", " def differential_rate_mw_mass(self, m, finite=True, v_disp=None, tcad=0.07, tobs=3, epsabs = 1.49e-08, epsrel = 1.49e-08, efficiency=None, monochromatic=False):\n", @@ -272,13 +262,13 @@ " def compute_differential_rate(self, ts, finite=False):\n", " return [self.differential_rate_total(t, finite=finite) for t in ts]\n", " \n", - " def differential_rate_mass(self, m, integrand_func, finite=True, tcad=0.07, tobs=3, epsabs = 1.49e-08, epsrel = 1.49e-08, efficiency=None, monochromatic=False): \n", + " def differential_rate_mass(self, mf, integrand_func, finite=True, tcad=0.07, tobs=3, epsabs = 1.49e-08, epsrel = 1.49e-08, efficiency=None, monochromatic=False): \n", " \n", " if efficiency is None:\n", " def efficiency(t):\n", " return 1\n", "\n", - " point = self.sticking_point(m)\n", + " point = self.sticking_point(mf)\n", "\n", " def inner_integrand(u, d, t, m):\n", " return integrand_func(u, d, t, m) * efficiency(t)\n", @@ -290,6 +280,7 @@ " else:\n", " u_min, u_max = 0, self.u_t\n", " result, error = quad(inner_integrand, u_min, u_max, args=(d, t, m), epsabs=epsabs, epsrel=epsrel, points=[point])\n", + "\n", " return result\n", " \n", " # Third integral (over d)\n", @@ -305,43 +296,229 @@ " # Outermost integral (over t)\n", " t_min = tcad\n", " t_max = tobs\n", - " result, error = quad(third_integral, t_min, t_max, args=(m,), epsabs=epsabs, epsrel=epsrel)\n", + " result, error = quad(third_integral, t_min, t_max, args=(mf,), epsabs=epsabs, epsrel=epsrel)\n", " \n", " if monochromatic:\n", " return result\n", - " return result * self.f_m(m)\n", + " return result * self.f_m(mf)\n", + "\n", + " def differential_rate_integrand_new(self, umin, d, mf, model, finite=False, v_disp=None, tcad = 0.07, tobs = 3, t_fwhm=False, efficiency=None):\n", + "\n", + " #Analytically perform integral over t\n", + " r = model.dist_center(d, self.l, self.b)\n", + "\n", + " ut = self.umin_upper_bound(d, mf)[0] if finite else self.u_t \n", + " if ut <= umin:\n", + " return 0\n", + " \n", + " if t_fwhm:\n", + " ut = u_fwhm_interp([rho_func(mf, d, self.ds), umin])[0] if finite else uhm_point(umin)\n", + " if ut <= umin:\n", + " return 0\n", + "\n", + " if v_disp is None: \n", + " v_disp = model.velocity_dispersion_stars(r)\n", + " \n", + " if efficiency is None:\n", + " def efficiency(t):\n", + " return 1\n", + "\n", + " #For FFP number density, use stellar density for 1 solar mass stars\n", + " A = 2/(ut**2 - umin**2)**0.5 * model.density_stars(d, self.l, self.b) / (1 * (v_disp*htosec/kpctokm)**2 ) * (2 * einstein_rad(d, mf, self.ds)* (ut**2 - umin**2)**0.5)**4 \n", + " B = (2*einstein_rad(d, mf, self.ds) * (ut**2 - umin**2)**0.5)**2 / (v_disp*htosec/kpctokm)**2\n", + "\n", + " def integral_t(t):\n", + " return A/(2*B) * (np.exp(-B/(t**2) )/t - np.pi**(0.5) * erf(B**(1/2)/t) /(2* B**(0.5)))\n", + "\n", + " return (integral_t(tobs) - integral_t(tcad)) * efficiency((tcad-tobs)/2)\n", + "\n", + " def differential_rate_mass_new(self, mf, integrand_func, finite=True, tcad=0.07, tobs=3, epsabs = 1.49e-08, epsrel = 1.49e-08, efficiency=None, monochromatic=False): \n", + " \n", + " point = self.sticking_point(mf)\n", + "\n", + " # Second integral (over u) - bounds given by d\n", + " def second_integral(d, mf):\n", + " if finite:\n", + " u_min, u_max = 0, self.umin_upper_bound(d, mf)\n", + " else:\n", + " u_min, u_max = 0, self.u_t\n", + " \n", + " result, error = quad(integrand_func, u_min, u_max, args=(d, mf), epsabs=epsabs, epsrel=epsrel, points=[point])\n", + "\n", + " return result\n", + " \n", + " # Third integral (over d)\n", + " d_min, d_max = 0, self.d_upper_bound(mf) if finite else self.ds\n", + "\n", + " result, error = quad(second_integral, d_min, d_max, args=(mf), epsabs=epsabs, epsrel=epsrel)\n", + " \n", + " if monochromatic:\n", + " return result\n", + " return result * self.f_m(mf)\n", + "\n", + " def differential_rate_mw_mass_new(self, mf, finite=True, v_disp=None, tcad=0.07, tobs=3, epsabs = 1.49e-08, epsrel = 1.49e-08, efficiency=None, monochromatic=False, t_fwhm=False):\n", + " def integrand_func(umin, d, mf):\n", + " return self.differential_rate_integrand_new(umin, d, mf, self.mw_model, finite=finite, v_disp=v_disp, tcad=tcad, tobs=tobs, t_fwhm=t_fwhm)\n", + " return self.differential_rate_mass_new(mf, integrand_func, finite=finite, tcad=tcad, tobs=tobs, epsabs = epsabs, epsrel = epsrel, efficiency=efficiency, monochromatic=monochromatic)\n", + " \n", + " def differential_rate_m31_mass_new(self, mf, finite=True, v_disp=None, tcad=0.07, tobs=3, epsabs = 1.49e-08, epsrel = 1.49e-08, efficiency=None, monochromatic=False, t_fwhm=False):\n", + " def integrand_func(umin, d, mf):\n", + " return self.differential_rate_integrand_new(umin, d, mf, self.m31_model, finite=finite, v_disp=v_disp, tcad=tcad, tobs=tobs, t_fwhm=t_fwhm)\n", + " return self.differential_rate_mass_new(mf, integrand_func, finite=finite, tcad=tcad, tobs=tobs, epsabs = epsabs, epsrel = epsrel, efficiency=efficiency, monochromatic=monochromatic)\n", "\n" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "p = 1.0\n", "# f = Ffp(p, l = 1.0, b = -1.03, ds=8.5, u_t = 2)\n", - "f = Ffp(0, l = 1.0, b = -1.03, ds=8.5, u_t = 1, m_min=2.5e-6, m_max=3.5e-6)\n" + "# f = Ffp(0, l = 1.0, b = -1.03, ds=8.5, u_t = 1, m_min=2.5e-6, m_max=3.5e-6)\n", + "f = Ffp(0, l = l, b = b, ds=ds, u_t = 1)\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "3.0996682206844185e-15" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "f.differential_rate_mw(1e-1, finite=True, v_disp=220, t_fwhm=False)" + ] + }, + { + "cell_type": "code", + "execution_count": 98, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "2.0418395865633797e-15" + ] + }, + "execution_count": 98, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "f.differential_rate_mw(10, finite=True, v_disp=220, t_fwhm=True)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 88, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "3.580189123211615e-15" + ] + }, + "execution_count": 88, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "f.differential_rate_m31_mass_new(3e-4, finite=True, v_disp=None, tcad=0.07, tobs=3, epsabs = 1.49e-08, epsrel = 1.49e-08, efficiency=None, monochromatic=True, t_fwhm=True)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 89, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "8.367673014152553e-14" + ] + }, + "execution_count": 89, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "f.differential_rate_m31_mass_new(3e-4, finite=False, v_disp=None, tcad=0.07, tobs=3, epsabs = 1.49e-08, epsrel = 1.49e-08, efficiency=None, monochromatic=True, t_fwhm=True)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 249, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "7.2026805885836655e-28" + ] + }, + "execution_count": 249, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "f.differential_rate_mw_mass_new(1e-11, finite=True, v_disp=None, tcad=0.07, tobs=3, epsabs = 1.49e-08, epsrel = 1.49e-08, efficiency=None, monochromatic=True, t_fwhm=False)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "9.858671258336687e-38" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "f.differential_rate_mw_mass_new(1e-21, finite=False, v_disp=None, tcad=0.07, tobs=3, epsabs = 1.49e-08, epsrel = 1.49e-08, efficiency=None, monochromatic=True, t_fwhm=True)\n" ] }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 244, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "2.834948673444066e-13" + "7.202977965554305e-28" ] }, - "execution_count": 7, + "execution_count": 244, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "f.differential_rate_mw(10, finite=True, v_disp=220)" + "f.differential_rate_mw_mass(1e-11, finite=True, v_disp=None, tcad=0.07, tobs=3, epsabs = 1.49e-08, epsrel = 1.49e-08, efficiency=None, monochromatic=True)\n" ] }, { diff --git a/nbs/04_utils.ipynb b/nbs/04_utils.ipynb index 86c582c..1ee37e9 100644 --- a/nbs/04_utils.ipynb +++ b/nbs/04_utils.ipynb @@ -44,7 +44,7 @@ "from pathos.multiprocessing import ProcessingPool as Pool\n", "from scipy.interpolate import interp1d, interp2d, RegularGridInterpolator\n", "import pickle\n", - "from LensCalcPy.interpolations.interps import ut_interp, ut_interp_mw, ut_interp_rho, u_fwhm_interp\n", + "from LensCalcPy.interpolations.interps import *\n", "from tqdm import tqdm\n", "\n", "import matplotlib.pyplot as plt\n", @@ -64,7 +64,11 @@ "ut_interp = ut_interp\n", "ut_interp_mw = ut_interp_mw\n", "ut_interp_rho = ut_interp_rho\n", - "u_fwhm_interp = u_fwhm_interp" + "u_fwhm_interp = u_fwhm_interp\n", + "ut_interp_nfw = ut_interp_nfw\n", + "ut_interp_nfw_101 = ut_interp_nfw_101\n", + "ut_interp_axion = ut_interp_axion\n", + "ut_interp_dressed = ut_interp_dressed" ] }, { @@ -120,7 +124,7 @@ "\n", "def einstein_rad(d: float, # distance from the Sun in kpc\n", " mass: float, # mass of the lens in Msun\n", - " ds: float = ds, # distance to the source in kpc\n", + " ds: float, # distance to the source in kpc\n", " ) -> float: # Einstein radius in kpc\n", " return (4 * G * mass * dist(d, ds)/c**2)**(1/2)\n", "\n", @@ -129,8 +133,9 @@ " umin: float, # minimum impact parameter\n", " t: float, # crossing time in hours\n", " ut: float, # threshold impact parameter\n", + " ds: float, # distance to the source in kpc\n", " ) -> float: # radial velocity in km/s\n", - " return 2*einstein_rad(d, mass) * (ut**2 - umin**2)**(1/2) / t * kpctokm\n", + " return 2*einstein_rad(d, mass, ds) * (ut**2 - umin**2)**(1/2) / t * kpctokm\n", "\n", "def event_duration(d: float, # distance from the Sun in kpc\n", " mass: float, # mass of the lens in Msun\n", @@ -332,6 +337,100 @@ " return ut_interp" ] }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "#| export\n", + "def u_t_nfw(rho, r90):\n", + " if r90 > ut_interp_nfw.grid[1][-1]:\n", + " return 0\n", + " elif r90 < ut_interp_nfw.grid[1][0]:\n", + " r90 = ut_interp_nfw.grid[1][0]\n", + " if rho > ut_interp_nfw.grid[0][-1]:\n", + " return 0\n", + " elif rho < ut_interp_nfw.grid[0][0]:\n", + " rho = ut_interp_nfw.grid[0][0]\n", + " return ut_interp_nfw((rho, r90))\n", + "\n", + "def u_t_nfw_101(rho, r90):\n", + " if r90 > ut_interp_nfw_101.grid[1][-1]:\n", + " return 0\n", + " elif r90 < ut_interp_nfw_101.grid[1][0]:\n", + " r90 = ut_interp_nfw_101.grid[1][0]\n", + " if rho > ut_interp_nfw_101.grid[0][-1]:\n", + " return 0\n", + " elif rho < ut_interp_nfw_101.grid[0][0]:\n", + " rho = ut_interp_nfw_101.grid[0][0]\n", + " return ut_interp_nfw_101((rho, r90))\n", + "\n", + "def u_t_axion(rho, r90):\n", + " if r90 > ut_interp_axion.grid[1][-1]:\n", + " return 0\n", + " elif r90 < ut_interp_axion.grid[1][0]:\n", + " r90 = ut_interp_axion.grid[1][0]\n", + " if rho > ut_interp_axion.grid[0][-1]:\n", + " return 0\n", + " elif rho < ut_interp_axion.grid[0][0]:\n", + " rho = ut_interp_axion.grid[0][0]\n", + " return ut_interp_axion((rho, r90))\n", + "\n", + "def u_t_axion_101(rho, r90):\n", + " if r90 > ut_interp_axion_101.grid[1][-1]:\n", + " return 0\n", + " elif r90 < ut_interp_axion_101.grid[1][0]:\n", + " r90 = ut_interp_axion_101.grid[1][0]\n", + " if rho > ut_interp_axion_101.grid[0][-1]:\n", + " return 0\n", + " elif rho < ut_interp_axion_101.grid[0][0]:\n", + " rho = ut_interp_axion_101.grid[0][0]\n", + " return ut_interp_axion_101((rho, r90))\n", + "\n", + "def u_t_dressed(rho, r90):\n", + " if r90 > ut_interp_dressed.grid[1][-1]:\n", + " return 0\n", + " elif r90 < ut_interp_dressed.grid[1][0]:\n", + " r90 = ut_interp_dressed.grid[1][0]\n", + " if rho > ut_interp_dressed.grid[0][-1]:\n", + " return 0\n", + " elif rho < ut_interp_dressed.grid[0][0]:\n", + " rho = ut_interp_dressed.grid[0][0]\n", + " return ut_interp_dressed((rho, r90))\n", + "\n", + "def u_t_dressed_101(rho, r90):\n", + " if r90 > ut_interp_dressed_101.grid[1][-1]:\n", + " return 0\n", + " elif r90 < ut_interp_dressed_101.grid[1][0]:\n", + " r90 = ut_interp_dressed_101.grid[1][0]\n", + " if rho > ut_interp_dressed_101.grid[0][-1]:\n", + " return 0\n", + " elif rho < ut_interp_dressed_101.grid[0][0]:\n", + " rho = ut_interp_dressed_101.grid[0][0]\n", + " return ut_interp_dressed_101((rho, r90))" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array(3.87074043)" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "u_t_nfw(1,1)" + ] + }, { "cell_type": "code", "execution_count": 6, @@ -819,6 +918,26 @@ "# pickle.dump(u_fwhm_interp, f)" ] }, + { + "cell_type": "code", + "execution_count": 141, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[14.29405895]])" + ] + }, + "execution_count": 141, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "u_fwhm_interp([15,1])" + ] + }, { "cell_type": "code", "execution_count": 47, @@ -836,6 +955,11 @@ " w_b = 2*(bw2 - umin**2)**(1/2)\n", " return w_b * t_e\n", "\n", + "def uhm_point(umin):\n", + " if umin==0:\n", + " return np.inf\n", + " return (2* f_func(f_func(umin**2)))**(1/2)\n", + "\n", "def t_e_from_fwhm(t_fwhm, umin, finite, rho=None):\n", " if not finite:\n", " return t_fwhm / t_fwhm_gondolo(1, umin)\n", diff --git a/nbs/08_galaxy.ipynb b/nbs/08_galaxy.ipynb index 8f3287c..70aed8c 100644 --- a/nbs/08_galaxy.ipynb +++ b/nbs/08_galaxy.ipynb @@ -31,7 +31,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 7, "metadata": {}, "outputs": [], "source": [ @@ -50,9 +50,18 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 8, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The autoreload extension is already loaded. To reload it, use:\n", + " %reload_ext autoreload\n" + ] + } + ], "source": [ "%load_ext autoreload\n", "%autoreload 2" @@ -60,7 +69,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 9, "metadata": {}, "outputs": [], "source": [ @@ -95,7 +104,7 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 10, "metadata": {}, "outputs": [], "source": [ @@ -221,7 +230,7 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 11, "metadata": {}, "outputs": [], "source": [ @@ -292,7 +301,7 @@ }, { "cell_type": "code", - "execution_count": 24, + "execution_count": 12, "metadata": {}, "outputs": [], "source": [ diff --git a/nbs/09_lightcurves.ipynb b/nbs/09_lightcurves.ipynb index a8bd80f..5bd6712 100644 --- a/nbs/09_lightcurves.ipynb +++ b/nbs/09_lightcurves.ipynb @@ -21,7 +21,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 1, "metadata": {}, "outputs": [], "source": [ @@ -31,7 +31,7 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ @@ -46,6 +46,8 @@ "\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", + "import seaborn as sns\n", + "\n", "\n", "from fastcore.test import *\n", "\n", @@ -139,21 +141,14 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ - " 0%| | 0/30 [00:00" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(u_arr, A_ps_arr, label=r\"Point Source\", ls='--', color='b')\n", + "plt.plot(u_arr, A_fs_int_arr, label=r\"$\\rho = $\" + ' ' + str(rho) + ' ' + 'integrated', color='g')\n", + "\n", + "plt.axvline(fast_u_fwhm_func(rho, umin), color='g', linestyle='--')\n", + "\n", + "\n", + "plt.ylim(1,6)\n", + "# plt.ylim(5,50)\n", + "\n", + "# plt.xlim(-20,20)\n", + "# plt.xlim(-2,2)\n", + "\n", + "\n", + "plt.xlabel(\"u\")\n", + "plt.ylabel(\"Magnification\")\n", + "plt.legend()\n", + "# plt.savefig(\"figures/ps_fs_magnification.pdf\")\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 20, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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NwowQQggh3JqEGSGEEEK4NQkzQgghhHBrEmaEEEII4dYkzAghhBDCrUmYEUIIISph0KBBPPDAA64uo06pK58TCTNCCCHqhffee48mTZpgNBrp2rUrK1euPOexjRs3RlGUM2533333OZ/z448/8sILL1xUTXXll/2p6mJN1SVhRgghhNv75ptveOCBB3jqqafYunUr/fv3Z8SIESQmJp71+I0bN5Kamlp+W7x4MQDXXXfdOc8RGBiIj49PjdTvDBaLxdUluIyEGSGEEE63atUqevTogdFoJDg4mDfffLNGz/fGG28wadIkJk+eTJs2bXjrrbeIiYlhzpw5Zz0+JCSE8PDw8tuvv/5Ks2bNGDhw4DnPcXqPxqBBg7jvvvt49NFHCQwMJDw8nOnTp5c/PmHCBOLj43n77bfLe36OHDmCqqrMmjWLpk2b4unpSceOHfn+++8rnKugoIBx48bh7e1NREQEb7755lnPf8899zB16lSCg4MZOnQof/75J/369cPf35+goCCuuOIKDh065JSaioqKuPXWWzGZTERERPD6669X4p2pHRJmhBCijlNVlSKr2SU3VVUvut7ff/+dMWPGcNddd7Fjxw7uuOMOpk6dWuGXKsCMGTMwmUznvZ3vUtFJFouFzZs3M2zYsAr3Dxs2jDVr1lTq+V988QW33XYbiqJc1GudP38+3t7erF+/nlmzZvH888+X9/K8/fbb9O7dm9tvv728BygmJoann36auXPnMmfOHHbt2sWDDz7IzTffTHx8fHm7U6dOZfXq1fz8888sXryYlStXsmXLlrOeX6fTsXr1aj744AOKioqYOnUqGzduZMmSJWg0GsaMGYPD4ah2TY888gjLli1j4cKF/P333yxfvpzNmzdf1OerpuhcXYAQQojzK7ZZ8P3iKZecO//ml/DWGyp9fGlpKXfccQdvv/02N910EwDPP/887777LvHx8TRr1qz82ClTpnD99deft72oqKgLnjMzMxO73U5YWFiF+8PCwkhLS7vg8xctWkRubi4TJky44LGn69ChA9OmTQOgRYsWzJ49myVLljB06FD8/Pzw8PDAy8uL8PBwoKx344033mDp0qX07t0bgKZNm7Jq1So++OADBg4cSEFBAfPnz+err77i0ksvBWDu3LlERkaecf7mzZsza9as8o9bt25d4fFPPvmE0NBQdu/eTVxcXJVrKiws5JNPPuGzzz5j6NChQFmQio6OvujPWU2QMCOEEMJpli5dSklJCWPHji2/T6vVotPpMBgqhqLAwEACAwOddu7Te1VUVa1UT8snn3zCiBEjzhoWLqRDhw4VPo6IiCAjI+Ocx+/evZvS0tLyQHCSxWKhc+fOABw+fBir1UqPHj3KH/fz86NVq1ZntNetW7cKHx86dIhnnnmGdevWkZmZWd4jk5iYSFxcXJVrOnToEBaLpTzsQNn7d7aaXEHCjBCizsktsfLllmPkl9q4ql047cLr7qDL2uCl8yD/5pdcdu6LsWzZMjp27IhWqy2/LyEhgZycHLp06VLh2BkzZjBjxozztvfHH3/Qv3//8x4THByMVqs9oxcmIyPjjN6a0x09epR//vmHH3/88bzHnYter6/wsaIo5QHibE4+9ttvv53R63Qy7J28tHe2cHY6b2/vCh9feeWVxMTE8NFHHxEZGYnD4SAuLu68g4Mvpqa6SsKMEKLOufWrrfy6Jx2AZ/7cy/vXdmByz0Yursp1FEW5qEs9rrR169YzfnG+++67dOnShTZt2lS431mXmTw8POjatSuLFy9mzJgx5fcvXryYUaNGnfe5c+fOJTQ0lJEjR17wPFXh4eGB3W4v/7ht27YYDAYSExPPOdi4WbNm6PV6NmzYQExMDAD5+fkcOHDgvAOUs7Ky2LNnDx988EF5AFy1apVTamrevDl6vZ5169YRGxsLQE5ODvv37z9vTbVFwowQos555Yo2HMkpJtLXyN/7j3PH9zsIMxm4sl24q0sTF7Bt2zYcDgfz58+nd+/efPvtt8yZM4fVq1efcawzLzNNnTqVW265hW7dutG7d28+/PBDEhMTmTJlSvkxs2fPZuHChSxZsgQo65GYO3cu48ePR6ermV+HjRs3Zv369Rw5cgSTyURgYCAPP/wwDz74IA6Hg379+pGfn8+aNWswmUyMHz8eHx8fxo8fzyOPPEJgYCChoaFMmzYNjUZz3stmAQEBBAUF8eGHHxIREUFiYiKPP/64U2oymUxMmjSJRx55hKCgIMLCwnjqqafQaOrGPCKXhpnp06fz3HPPVbivsgO2hBD1V5swH7Y/VPbX3p0/7OTDdUe568edDGwWhK9Rf4FnC1dJTEwkKyuL3377jccee4z9+/fToUMH/vzzzzMuMTnb2LFjycrK4vnnnyc1NZW4uDh+//13GjX6r0cvMzOzwoyqf/75h8TERG677bYaq+vhhx9m/PjxtG3blpKSEhISEnjhhRcIDQ1l5syZHD58GH9/f7p06cKTTz5Z/rw33niDKVOmcMUVV+Dr68ujjz5KUlISRqPxnOfSaDQsWLCA++67j7i4OFq1asU777zDoEGDnFLTq6++SmFhIVdddRU+Pj489NBD5OXlOf1zVhWK6sILYdOnT+f777/nn3/+Kb9Pq9USEhJSqefn5+fj5+dHXl4evr6+NVWmEKIW7EorIKfEQr8mQRXuL7Ha6fDacg5lFfPM0JY8d1ndGHBYU0pLS0lISChfydad/Pzzz0ycOJGsrCxXl1LvFBUVERUVxeuvv86kSZNcXU6lnO9r2dm/v13eP6TT6SosXFTZICOEqF+m/bWXAf+3hjfiK65F4qnX8tKINnhoNZRa7ed4tqgLtm7dSvv27V1dRr2wdetWvv76aw4dOsSWLVsYN24cwAXHADVULh8zc+DAASIjIzEYDPTs2ZMZM2bQtGnTsx5rNpsxm83lH+fn59dWmUKIGpSUW8Kif8suL1/WKvSMx6/pEEG/JoFE+rlXT0VDs3Xr1jOmKouqe+2119i3b1/5AOeVK1cSHBzs6rLqJJeGmZ49e/LZZ5/RsmVL0tPTefHFF+nTpw+7du0iKCjojONnzpx5xhgbIYT7+2jdURwqDGoWdNZp2FqNIkHGDSxatMjVJdQbnTt3rjOr67oDl15mGjFiBNdccw3t27dnyJAh/Pbbb0DZqoJn88QTT5CXl1d+S0pKqs1yhRA1QFVVvtmWAsDknrEXPH5XWgGJOcU1XZYQwo24fMzMqby9vWnfvj0HDhw46+MGgwFfX98KNyGEe9ueks+BzCKMOg1Xtj3/1OtHftlN+9eW8+G6s++ELIRomOpUmDGbzezZs4eIiAhXlyKEqCXf7SjrlRnROhQf4/mvfHeMLPsD5uddsnyDEOI/Lg0zDz/8MPHx8SQkJLB+/XquvfZa8vPzGT9+vCvLEkLUomUHy6bxXtvxwvviXN4mFK1G4d+0Ag5lFtV0aS5V15ePF+JCavNr2KVh5tixY9x44420atWKq6++Gg8PD9atW1dhkSMhRP0Wf1cf/vpfL65se/49dAACvTwY0KRsxdif6mnvzMm9foqLZVyQcG8nv4ZP37+qJrh0NtOCBQtceXohRB2g12oY2rLy60tdFRfOskNZ/LwrjakDm9VgZa6h1Wrx9/cv33nZy8urUjs/C1FXqKpKcXExGRkZ+Pv7V9h0tKa4fJ0ZIYS4GFe2DePBn3ax5kgOBaW2C46zcUfh4WUDoU8GGiHckb+/f/nXck2rfz8FhBBuwWyz0+udVfRtHMjLI9tgMlTux1HTIG+aBHqRkF3MqoQsRrS58OUpd6MoChEREYSGhmK1Wl1djhAXTa/X10qPzEkSZoQQLrH2SA7bU/JJKzDzzui4i3ruSyNa4+2hPWMfp/pGq9XW6i8EIdyVhBkhhEssPnAcgGEtQ9BoLm5MyA2do2qiJCGEm6pT68wIIRqOlYezgbItDIQQojokzAghal2p1c6GxFwA+jetWpjZkJjD03/sJf5QphMrE0K4I7nMJISodRuTcrHYHYT7GGgW5FWlNuZtTOL9tUcpsdoZ2Ex2EhaiIZOeGSFErVuVUHaJqV+TwCqvodK7cQAA647mOK0uIYR7kjAjhKh1Xh5amgd70/fEar5V0btR2XM3H8vDbLM7qzQhhBuSy0xCiFp3f/+m3N+/KQ5H1fduaRbkRYi3B8eLLGw5lkfvxlUPRkII9yY9M0IIl7nYKdmnUhSl/FLTWrnUJESDJmFGCFGrCkpt2KvRI3OqXo1k3IwQQsKMEKKWPfrbbgKe+YM5a45Uu63eJ8LM7vSCarclhHBfMmZGCFGrNibmUmi2E+LtUe22esYGsPPhQbQJNTmhMiGEu5IwI4SoNaVWOztS8wHoHuNf7faMei3twn2q3Y4Qwr3JZSYhRK3ZlpKPzaESavIgNsDT1eUIIeoJCTNCiFqzIbFsoG6PmIAqL5Z3un9T87n5yy1M+nabU9oTQrgfCTNCiFqzMSkXgO6x/k5r0+pQ+WprMgt3pqGqzpklJYRwLxJmhBC15uTmkj2cGGbahfngodWQW2IlIbvYae0KIdyHhBkhRK1wOFSu7xTJFW3C6Bbt77R2PXQaOkSUDQLefCzPae0KIdyHzGYSQtQKjUbhheGta6TtLtH+bDqWx+ZjeVzXMbJGziGEqLukZ0YI4fa6RPsBsOVYrmsLEUK4hIQZIUSt2JVWQGp+aY0M0u16IsxsPpYng4CFaIAkzAghasXEBVuJen4xi/5Nc3rbceE+eOo1RPsbySmxOr19IUTdJmNmhBA1zmZ38G9a2f5JcTWwYq9BpyXnhRF46OTvMyEaIvnOF0LUuAOZRZTaHHh7aGkW5F0j55AgI0TDJd/9Qogad3I/pvYRvmg0zln591wcDhkzI0RDI2FGCFHjtqecDDM1tylkYk4xvd5eSdMZS2QQsBANjIyZEULUuB0nwkzHCL8aO0eIycCmY7k4VEgrMBPha6yxcwkh6hbpmRFC1LjtJy4zdYz0rbFzeOq1tAwxlZ3vRHgSQjQMEmaEEDVKVVVeGN6a+/s3qdHLTAAdIsrCkoQZIRoWucwkhKhRiqIwoXsMEFPj5+oQ6cu321PKBxwLIRoG6ZkRQtQbHct7ZmTDSSEaEgkzQogateTAcVYezqLQbKvxc50ck7PveBGlVnuNn08IUTdImBFC1KhHf93NwPfWsHj/8Ro/V5SfkS5RflzZNoy80poPT0KIukHGzAghaozV7mBXWiHw3+DcmqQoCpseHFDj5xFC1C3SMyOEqDH7Mgqx2B2YDFqaBHq5uhwhRD0lYUYIUWNOzirqUAvbGJxKVVUyi8y1dj4hhGtJmBFC1JiT673UxiWmkw4cLyRk2l+0fmWZbGsgRAMhYUYIUWN21MLKv6eL8fckr9RGdrGV5LzSWjuvEMJ1JMwIIWrMyZ6ZjpE1tyfT6Yx6La1CvCucXwhRv0mYEULUCFVV+fbWrrw7Jo724TW7jcHpToYnWQlYiIZBwowQokYoikK/JkHc3bcJ3obaXQXi5BgdCTNCNAwSZoQQ9c7JMTpymUmIhkEWzRNC1IgvtxzDbHNwWasQovw8a/XcJ8PM/uOFlFjteOq1tXp+IUTtkjAjhKgRry47xI7UfBZN7F7rYSbcx8A17SNoHOglYUaIBkDCjBDC6Sw2B3syCoD/drKuTYqi8N34brV+XiGEa8iYGSGE0+3NKMRqV/H31BMbULu9MkKIhkfCjBDC6ban5gHQIcIHRam9bQxOl11sYWtynsvOL4SoHRJmhBBOd3IWUXsXXGI6aWdqPsHP/sWl76+VbQ2EqOckzAghnG5HSu1vY3C6liHe6DQKuSVWjsm2BkLUaxJmhBBOV74nU0TtbWNwOoNOS+tQEyDrzQhR30mYEUI43faHBvHn7T1pH1G72xicTlYCFqJhkDAjhHC6MB8Dw1qFYnTx+i4dTlzm2iE9M0LUaxJmhBD1lvTMCNEwyKJ5Qginen35IbJLLIzrHE3bWt4t+3SyrYEQDYOEGSGEU83bmMSu9AL6NAp0eZgJ9zHw4ICmtAzxxuGQ6dlC1FcSZoQQTlNqtbP3eCHw33gVV1IUhdevaufqMoQQNUzGzAghnGZ3egF2h0qAp55oP6OryxFCNBASZoQQTrMj9cTmkpG+Lt3G4FRmm50NiTn8ujvd1aUIIWqIhBkhhNNsTzmxJ1MduMR00u70Qnq9s4oJC7bKtgZC1FNVGjNjt9uZN28eS5YsISMjA4fDUeHxpUuXOqU4IYR7Kd/GwIV7Mp2uTagJrUYhu9hKcl4p0f6yi7cQ9U2Vwsz999/PvHnzGDlyJHFxcXWmO1kI4VoJ2cWAa/dkOp1Rr6VViDe70wvZkZovYUaIeqhKYWbBggV8++23XH755U4rZObMmTz55JPcf//9vPXWW05rVwhRew4+cSkJ2cXE1LHA0DHSrzzMXN4mzNXlCCGcrEpjZjw8PGjevLnTiti4cSMffvghHTp0cFqbQojap9EoNAv2xkNXt4bjndwjSrY1EKJ+qtJPnIceeoi3337bKYPpCgsLGTduHB999BEBAQHVbk8IIU7XUbY1EKJeq9JlplWrVrFs2TL++OMP2rVrh16vr/D4jz/+WOm27r77bkaOHMmQIUN48cUXz3us2WzGbDaXf5yfLz+YhKgrHvllN4k5xdw/oCl9Gge6upwKTs6u2ne8iFKr3eUbYAohnKtKYcbf358xY8ZU++QLFixgy5YtbNy4sVLHz5w5k+eee67a5xVCON9ve9LZm1HIhO4xri7lDJG+Rt4eHUfbsLKZTUKI+qVKYWbu3LnVPnFSUhL3338/f//9N0Zj5VYKfeKJJ5g6dWr5x/n5+cTE1L0fnEI0NCVWO/tPbGPQMdLPxdWcSVEU7u3XxNVlCCFqSLX2Zjp+/Dj79u1DURRatmxJSEhIpZ+7efNmMjIy6Nq1a/l9drudFStWMHv2bMxmM1ptxa5gg8GAwWCoTslCiBqwK60AhwrB3h5E+Mr3qBCidlUpzBQVFXHvvffy2WeflS+Yp9VqufXWW3n33Xfx8vK6YBuXXnopO3furHDfxIkTad26NY899tgZQUYIUXdtPzFLqENE3dnG4HRZRRb+2pdBocXO/3o1cnU5QggnqtJspqlTpxIfH88vv/xCbm4uubm5/PTTT8THx/PQQw9Vqg0fHx/i4uIq3Ly9vQkKCiIuLq4qZQkhXGT7iVlCdWkbg9MdzSnm5q+28tTve2RbAyHqmSr1zPzwww98//33DBo0qPy+yy+/HE9PT66//nrmzJnjrPqEEG5ge3LZnkydo+pumGkb5oNWo5BVbCU130yk7OotRL1RpTBTXFxMWNiZq2iGhoZSXFxc5WKWL19e5ecKIVxHoyjotQqd6uDg35NO39ZAwowQ9UeVLjP17t2badOmUVpaWn5fSUkJzz33HL1793ZacUII97Dsrj4UvHQ57cJ8XF3KeXU4sXjedlkJWIh6pUo9M2+//TbDhw8nOjqajh07oigK27Ztw2g08tdffzm7RiGEG6hrWxicTfsIXxZsS2GnrAQsRL1SpTATFxfHgQMH+OKLL9i7dy+qqnLDDTcwbtw4PD3r1gZzQoiapapqnZ3BdLqTu3lLz4wQ9UuV15nx9PTk9ttvd2YtQgg3dOMXWziYWcTLI9swpGXl15pyhZOXmfYeL8Rss2PQyRIQQtQHlQ4zP//8MyNGjECv1/Pzzz+f99irrrqq2oUJIdzD+sQcjuaU4KGt+5eZovyM/HxbD9qH+7hFvUKIyql0mBk9ejRpaWmEhoYyevTocx6nKAp2u90ZtQkh6ricYgtHc0qA/y7h1GWKonBF2zNnYgoh3Fulw8zJlX5P/78QouE6OfakcYAnfp56F1cjhGioqtTP+tlnn2E2m8+432Kx8Nlnn1W7KCGEe9h2Isx0iqq768uc7mh2Mc//vZ/n/t7n6lKEEE5SpTAzceJE8vLyzri/oKCAiRMnVrsoIYR72J5S9nPAHS4xnXS8yML0v/fxf6uPyLYGQtQTVQoz55qKeezYMfz83OcvNCFE9Zy8zFSXV/49XbtwHzQKZBZZSCs4s4dZCOF+LmpqdufOnVEUBUVRuPTSS9Hp/nu63W4nISGB4cOHO71IIUTdo6oqbcN8KLTY3apnxlOvpWWIib0ZhWxPySfCV7Y1EMLdXVSYOTmLadu2bVx22WWYTKbyxzw8PGjcuDHXXHONUwsUQtRNiqLwxbguri6jSjpH+bE3o5CtyXkMbx3q6nKEENV0UWFm2rRpADRu3JixY8diNMpfNEII99M5yo+vtyaz5diZY/+EEO6nSmNmxo8fL0FGiAYut8TqtgNou5yYfbUlWcKMEPVBlcKM3W7ntddeo0ePHoSHhxMYGFjhJoSo/66et5GAZ/7kt93pri7lonWJLgszaQWlFJptLq5GCFFdVQozzz33HG+88QbXX389eXl5TJ06lauvvhqNRsP06dOdXKIQoq5RVZXtKfnkl9qI8nO/Xlp/Tz17Hh1M3osjMBmqvEWdEKKOqFKY+fLLL/noo494+OGH0el03HjjjXz88cc8++yzrFu3ztk1CiHqmCPZJeSUWPHQamgb5uPqcqqkVagJnezPJES9UKXv5LS0NNq3bw+AyWQqX0Dviiuu4LfffnNedUKIOmnzsVwA2kf44KGTQCCEcK0q/RSKjo4mNTUVgObNm/P3338DsHHjRgwGg/OqE0LUSZtPDJw9OfbEHSXmFDP+661c9ckGV5cihKimKl0sHjNmDEuWLKFnz57cf//93HjjjXzyySckJiby4IMPOrtGIUQds+VEz0zXaH+X1lEdBp2WzzcfAyC/1IqvUTbKFMJdVSnMvPzyy+X/v/baa4mJiWH16tU0b96cq666ymnFCSHqHlVV2XxifZaubtwzE+ZjIMrPSHJeKdtT8unfNMjVJQkhqsgpw/h79uxJz549ndGUEKKOs9gd/K9XI7Yl5xEX7p6Df0/qGu1Hcl4pW5LzJMwI4caqNGZm5syZfPrpp2fc/+mnn/LKK69UuyghRN1l0GmZcXkbfr+9Fwad1tXlVEvnE4vnbZWVgIVwa1UKMx988AGtW7c+4/527drx/vvvV7soIYSoDbISsBD1Q5WnZkdERJxxf0hISPksJyFE/bQpKZfjhWZXl+EUJ2dj7U4voNgiKwEL4a6qFGZODvg93erVq4mMjKx2UUKIuklVVUZ8tI6w6X+Xz2hyZ5G+RiJ8DbQONZGaXz8CmhANUZUGAE+ePJkHHngAq9XKJZdcAsCSJUt49NFHeeihh5xaoBCi7kjMKSGr2IpOo7jtyr+nUhSFhCeHyMJ/Qri5KoWZRx99lOzsbO666y4sFgsARqORxx57jCeeeMKpBQoh6o6Ti+XFhftg1Lv34N+TJMgI4f6qFGYUReGVV17hmWeeYc+ePXh6etKiRQtZ/VeIem7LsZMr//q7tpAaYHeoaDWKq8sQQlRBtdaZMZlMdO/e3Vm1CCHquP9W/nXfxfJOV2i2MeKjdexILSB12lC8PGQXbSHcTaW/a6+++mrmzZuHr68vV1999XmP/fHHH6tdmBCibqkvK/+ezttDy+HsYgrMNrYm59O3SaCrSxJCXKRKhxk/Pz8UpawL1tfXt/z/QoiG4Uh2CceLLOi1Ch0ifF1djtMoikKPGH9+2pXOhqQcCTNCuKFKh5kxY8ZgNBoBmDdvXk3VI4SoowK89HxyfUdSC8z1ZvDvSd1jA/hpVzobE3NdXYoQogouKsykpaUREhKCVqslNTWV0NDQmqxNCFGH+Hvqmdgj1tVl1IgeMf4AbEjKdWkdQoiqqfScxJCQENatWweUXTuXy0xCiPqi24kwczirmMwiWTxPCHdT6TAzZcoURo0ahVarRVEUwsPD0Wq1Z70JIeoXq93Bu6sSWH80B4dDdXU5TufvqadViDeAXGoSwg1V+jLT9OnTueGGGzh48CBXXXUVc+fOxd/fvwZLE0LUFTtT87l/0b/4e+rJev4yV5dTI0a0CaNVaBHeMjVbCLdzUd+1rVu3pnXr1kybNo3rrrsOLy+vmqpLCFGHrD/RW9Ejxr/eXmJ+46p2ri5BCFFFVfoTZNq0ac6uQwhRh21IzAGgR6y/awsRQoizqHSY6dKlC0uWLCEgIIDOnTuf96+zLVu2OKU4IUTdcLJnpmdsgGsLqWGqqpKUW0KApwc+RrncJIS7qPR366hRo8r3Xho9enRN1SOEqGPySqzszSgE6n/PzMiP1/PnvuN8fXMXxnaKcnU5QohKqnSYOfXSklxmEqLh2Hhi7ZWmQV6EmOr3ZrJNg7yB42xIzJUwI4QbqVY/qsViISMjA4fDUeH+2Nj6ubCWEA3R+pPjZU6sxVKf9Yj15701/71mIYR7qFKY2b9/P5MmTWLNmjUV7j+5mJ7dbndKcUII13ugf1P6NwnC21D/15Dq07hsX6ZNSXmUWu31btsGIeqrKoWZiRMnotPp+PXXX4mIiKi3UzWFEOBt0DGgWZCry6gVzYK8CDV5kFFoYUtyXnm4EULUbVUKM9u2bWPz5s20bt3a2fUIIYTLKIpCn8aBLPo3jdUJ2RJmhHATld7O4FRt27YlMzPT2bUIIeqY33anc9+if1l6oOF8v58MMGuOZLu4EiFEZVWpZ+aVV17h0UcfZcaMGbRv3x69Xl/hcV9fX6cUJ4RwrUW70vhkfSKeOg2XtAh2dTm1YljLEJL7N2FIixBXlyKEqKQqhZkhQ4YAcOmll1a4XwYAC1G/rE4o653o26ThXG7pEOnLm6PiXF2GEOIiVCnMLFu2zNl1CCHqmMwic/lieX0a1++Vf4UQ7q1KYWbgwIHOrkMIUcesOVK21krrUBPB3vV7sbzTFVtsbEjMpdhq5/I2Ya4uRwhxAVUKMzt27Djr/YqiYDQaiY2NLd/6QAjhnk5eYmqIM3oW789kzLyNtA0zSZgRwg1UKcx06tTpvGvL6PV6xo4dywcffIDRaKxycUII1zk5m6dfAxovc1LvRmWX1XanF5JTbCHAy8PFFQkhzqdKU7MXLlxIixYt+PDDD9m2bRtbt27lww8/pFWrVnz11Vd88sknLF26lKefftrZ9QohaoHDoZJRaAGgbwMcLxPqY6BFsDcAa4/K1gZC1HVV6pl56aWXePvtt7nsssvK7+vQoQPR0dE888wzbNiwAW9vbx566CFee+01pxUrhKgdGo3CvscvISm3hGi/htm72qdxAAcyi1h9JFsuNQlRx1WpZ2bnzp00atTojPsbNWrEzp07gbJLUampqdWrTgjhUjH+ng12u5KTY4VOjh0SQtRdVQozrVu35uWXX8ZisZTfZ7Vaefnll8u3OEhOTiYsTP6aEUK4p4En9qNan5hLqVXWzhKiLqvSZab/+7//46qrriI6OpoOHTqgKAo7duzAbrfz66+/AnD48GHuuusupxYrhKh5DodK21eX0TLYxIfXdSDct2FeZmoR7E2Er4HUfDPrjuYwqHnDWAFZCHekqKqqVuWJhYWFfPHFF+zfvx9VVWndujU33XQTPj4+zq7xnPLz8/Hz8yMvL0+2UBDCSban5NH5jRV4e2jJfmE4em2VOnDrhd92pxPha6BjpB9aTcO83CZETXD27+8q9cwAmEwmpkyZUu0ChBB1y7KDWQD0bxLYoIMMwMi2cqlcCHdQ5TADsHv3bhITEyuMnQG46qqrqlWUEMJ1lh8q2yFbLqsIIdxFlcLM4cOHGTNmDDt37kRRFE5eqTo560E2mhTCPdkdKisOl83eGdxMwgzAjztT+XV3Onf0akTPRg1vzR0h3EGV+pDvv/9+mjRpQnp6Ol5eXuzatYsVK1bQrVs3li9f7uQShRC1ZXtKHrklVnwMOjpHyTg0gO+3pzBvYxJ/7M1wdSlCiHOoUphZu3Ytzz//PCEhIWg0GjQaDf369WPmzJncd999lW5nzpw5dOjQAV9fX3x9fenduzd//PFHVUoSQjjByfEyA5oGomvg42VOOjlFe8XhLBdXIoQ4lyr9tLLb7ZhMJgCCg4NJSUkByhbN27dvX6XbiY6O5uWXX2bTpk1s2rSJSy65hFGjRrFr166qlCWEqKZIPyMDmgYyrFWoq0upMwaduNy29miOrDcjRB1VpTEzcXFx7Nixg6ZNm9KzZ09mzZqFh4cHH374IU2bNq10O1deeWWFj1966SXmzJnDunXraNeuXVVKE0JUw42do7ixc5Sry6hTWoZ4E+5jIK3AzPrEHAbKWCIh6pwqhZmnn36aoqIiAF588UWuuOIK+vfvT1BQEAsWLKhSIXa7ne+++46ioiJ69+591mPMZjNms7n84/z8/CqdSwjhGlmlRezLO86x4lxSi/NJLs4jpTifbHMxhVYzBSduRbayGZInJxXoFA0+egN+HkZ89Eb8PIyEGk1Ee/sR5eVPlJcvjUwBNDYFotU49/KYoigMahbEgm0pLD+UJWFGiDqoSmHm1A0mmzZtyu7du8nOziYgIOCi93HZuXMnvXv3prS0FJPJxMKFC2nbtu1Zj505cybPPfdcVUoWQlzAgeOFBHl7EOjl4ZT2cszFrM04ytqMI6zPTGRXThppJQVOaftcvHR64vzD6RocQ+/QxvQObUQTU2C195caeCLMLD2QybRhrZxUrRDCWS5qBeDbbrutUsd9+umnlS7AYrGQmJhIbm4uP/zwAx9//DHx8fFnDTRn65mJiYmRFYCFcIIRH63j7/3HmXdDJ27pGnPRz88qLWJJ6gGWphxkTUYCu3LTz3pcrLc/saYAIr38iPTyJdLTlyCjNz56A756Iz56A146PQoKKioqYHM4KLCWkmcpJd9qJs9SQnpJAceK80guyuNYcS5HCnMw221nnC/M04c+oY25NKI5Q6Na0cwn6KLDzeGsIprPXErXaD/W3ddfVgMWopqcvQLwRYUZjUZDo0aN6Ny5M+d72sKFC6tc0JAhQ2jWrBkffPDBBY+V7QyEcA6zzU7QM39RbLWzbepAOkRe+PvJ6rCzNuMIi5P3szhlP5syj52IHv9p4RtM79DG9AppRKegSNr6h+Gjr5m9nuwOBwcLMtmencKG44mszTjK5qxjWB0VB+02NgUwJLIlQyJbMiyqJX4enpVqP73ATJiPoSZKF6LBcel2BlOmTGHBggUcPnyY2267jZtvvpnAwMBqF3EqVVUr9L4IIWre6oQciq12wnwMtI84//5qB/Mz+XjfOuYd3Mjx0qIKj8X5hzMkqiUDwprSO7QRoZ61t1ebVqOhlV8orfxCub5JJwBKbVY2Zx0jPu0Q/6TsZ03GUY4U5vDx/vV8vH89Hhotw6Nb879WvbgsqhUa5dzjbSTICFF3XfRGk2azmR9//JFPP/2UNWvWMHLkSCZNmsSwYcMuuuv2ySefZMSIEcTExFBQUMCCBQt4+eWX+fPPPxk6dOgFny89M0I4x+O/7WHWsoPc0jWa+Td2PuNxq8POT4n/8uG+dSxJOVB+f7DBm6FRLRka2ZKhUS2J9PKrzbIvWqHVzIq0w/yTsp+/kvexN++/hfCa+wQzpXVvJrToToDB65xtlFrtGPXa2ihXiHrLpZeZTnf06FHmzZvHZ599htVqZffu3eXrz1TGpEmTWLJkCampqfj5+dGhQwcee+yxSgUZkDAjhLN0eSOebSn5fH5TZ8Z1iS6/P9tczIf71jJ792pSS8pmDyooXBbViv+16sXImDboNO77i/3fnFQ+3b+BeQc3kmcpBcBTq+fGpp25u01fOgX9N03d4VC54pP1LDuUxd5HB9Mo8NyBRwhxfnVm12wom7J4cm8mh8Nx0c//5JNPqnN6IYQTpBeY2ZZSFlSGtggB4EDecd7evZL5BzdSbLMCZQNpJ7XowaSWPWns49zLy64SFxDBGz1H8UKX4Xx1eCvv7VnNjpxUPj2wgU8PbOCSiOZMjRvI8KjWaDQK+WYbZpuDxQeOM7lnI1eXL4Q44aLDzKmXmVatWsUVV1zB7NmzGT58OBonr+8ghKh5/xw4DkCnKB/2Fh3jjg0r+CVxd/lg3o6BkTzYbiBjm3TEQ1utv3/qLG+9gdtb9WJyy56szjjC/+1ZzQ9HdrA09SBLUw/S1j+MB9sNZHCLQNYcyWHxPgkzQtQlF3WZ6a677mLBggXExsYyceJEbr75ZoKCgmqyvvOSy0xCVF96gZl3Nm/jm7QVJJT8N5368ug2PNhuAIMjmld7nRZ3lFiYw7u7V/HR/nUUWMsmJQR6eJN1JBL/0liOPzdcpmgLUUUun5odGxtL586dz/vD7ccff6x2YZUhYUaI6imymnl6y5+8u3sVKipGrY5bm3fj/rYDaO0v+zMB5FlK+GT/et7ZvYqkolwA1CI/vhtyE9e0buba4oRwUy4NMxMmTKjUX2hz586tVlGVJWFGiKpbknKA/63+liOFOQDc2rwbr3QbWePTqVW7FYe1AIelANVaiGq3oNqt4LCinriV/d+GomhB0YJGi6LRgaItu0+jR6P3QtGb0HiYUPQmFK2hRnuQrA47H+xdy9T1v2LHhk7R8lLX4TzQboBbD4IWwhXq1GwmV5MwI8TFK7KaeXzTb7y3dw0AAToTb3Yfwy2tO1apPdVhx16UgjXvCPbCZOwlx7EXp2Mvzii/Ocy5OCz5qOZ8VHupM1/OfxQNit6E1hCAxjMIrWfIiX+Dy27ekeh8Y9D5xKA1RaPRVW3xvhnxO3h6x88oplwAeobEMrf/DbTyk54sISqrTs1mEkK4l9XpCUxcuYBDBVkAhFmbkLYnksJm518fRlVV7EWpWLN2Y8nahTV7L9a8BGz5R7EVJILDetG1KFojiocJReOBovUAjQ5Fo0fR6EGrR1F0oDpQVRs47KiqHRy2sn/tVhy24rKeHVvJiSIdqJZ8bJZ8KDh6wfNrvELR+zRCH9gKfUAr9IGty/7v1wxFqz/n827t2IKley8hPDSH33LWsv54Il1/epOZ3S7n7jZ9z7vwnhCiZkjPjBANQKnNyrStf/H6v/GoqER7+fFGt6sZ+/5hHCoceepSYgPK1k1RVRVb/lHM6Rsxp23EnL4Ja+a/OMy55z6BRofOJxadKRqtVyha7zA0niFovcLKPjYGojH4ouh90Bh80eh9zhsYLobqsKPainFYC1EtBdhLc3GUHMdekoWjNBN78XHsJZnYC1OwFSRiK0hCtRWf97V4BLXDENYNj7BuGMK64hHU7qz1JhXmMmn1N+ULCQ4Kb8Yn/cbWm6nrQtQUucx0CgkzQlzY5sxjTFj5NbtPbPw4vnk33uw5il92ZnHr11vpEOHDxknRlCQupSRxCeaUNdiLz7JJpKJB798MfVA7PALboPNvhs63CXrfRmhNUShuMm5EVVUc5hxs+YnY8g5jzdmHJXsv1ux9WHP2oVqLzniOovPEENELz5hBGKMHYwjvVjaG50R77+9by6Mbf6HYZsVHb+D1HldxW4seDXIWmBCVIWHmFBJmhDg3q8POjO3/8NL2JdhVB2GePrzf51quim2HajPz3GcfYEj5k5H+u/GxpVR8skaHR3AHDOE9MIR3wyOkI/qAVlUeZ+IuVNWBLT8Ry/GtmNM2YU7fjCV9Mw5LXoXjFA8flLB+/OvRn0sG3YqnTyiH8jO5bdU3rEpPAGBEdGs+7Htdnd/iQQhXkDBzCgkzQpzd7tw0xq/4mi1ZyQBc17gj73YfiVfaCooO/Ehxwu+olvz/nqDRY4zohTH2UjxjBuER2hmNrnK7Sdd3qurAmrOP0qR4SpKWUXosHkdp9n+Po8Ezqh/eLa7G2OJaZifs5uktf2K22wjw8GR276u5oemZ+10J0ZBJmDmFhBkhzvTRvnU8sH4RpXYbgQYv3mrXleE5Kyjc+xWO0qzy49LtAay09ubO6+/AK7o/Go/K76vWkKmqA8vx7Xz9y6cEZf1NnEfCfw9q9Hg1vYJjja/hzsPJbD4RJie06M47PUfjrZedt4UACTMVSJgRoqK3dq3goQ0/A3Cpvx+vmJfjn7ay/HGtdyTercbyj7k3E5doub5jNPPOsku2uLCf/k1jzLyN9Aoq4PdhGRTt+xpLxtbyxx2maD6KuIXXjxfjUFWGRLbk16GT0LvJ2CIhapKEmVNImBHiPz8e2cn1yz5DReU+dR/35P+FBsp6C5pdiU/bCXg2Glo+ULfIbCOv1EakX/0eB1NTisw2gqf9hdnmYOfDg2gX7oPl+A4Kdn9W1gtWkgnAOkNz/uc5gmJVYXLLnrzf51oZGCwaPGf//pYFEYSoB9amHeKW5WVBZpx5B/fm/4XOGIR/jyeImXSIsJEL8GoyvMKMI2+DToJMNXgbdFzSPBiAX3anAeAR0oGgga8ROymB4GEfow+Oo5f5IG8W/oqiqny8fz2ztvzqyrKFqJckzAjhxlRVZeeOL7nqj7coVVUGWxOYrj9M8OB3iZl0iIA+z6HzDq/wnEKzzUXV1j9Xtg0Dyi45nUrRGfBpeytR4zYTPuZ3RobF8HTpCgCe3BHP/L+exmE9z1o3QoiLImFGCDdlyd7H3h+v5OoNS8jGQJyazfwuA2kyfhe+He9Ao/c66/P6/99qurwRz/aUvLM+LipvdFw4igJbkvPILDKf8biiKHg2GkL4tYt5bORMJmrLpsDfmVzIL58NoujQz7jxlX4h6gwJM0K4GdVuJWfdCyR80Y3J2d4c1gYSpVP4/ZqXiOp2H4ru3DNmDmUWsT0ln51pBUT7ydTr6gr3NfLTxB6kThtGsPe5P+8nQ8374z5nRGAAZkXHZLqx6dfbyPjlamxFqbVYtRD1j4QZIdyIJXsvKd8OIGfdC0wz9GOdLgaTTs+vIx8kyi/igs9feOJyyKBmQQR5e9R0uQ3CFW3DCPSq3OdSp9Wy4PKH6RwYQbbGi9u9R5F6+B+SP+9C0YEfa7hSIeovCTNCuAFVVcnf+TEpX/bAkr6Zj7368p1HOzSKwteDbqVDYGSl2lm4s6wHYEzchYOPuHiVuWRk0hv4eehkYrz9OaQN4B7/sZSW5pDx2w0c/2uSjKURogokzAhRxzlspWT+cwdZS+5CtZeyLOJqXtF3BeDNHqO4PKZNpdpJyStl7dEcoGysh3Ce77an0G/2Kt5bc6RSx0d6+fHzkNvw0RtYq/rzXMz9qIqGwj2fk/rNAKx5CRduRAhRTsKMEHWYreAYqd9dQuGueaBoONJlGveZmwBwd5u+3NO2X6Xb+n5H2eDT3o0CZEq2kx3LK2HNkRy+3175sS8dAiP5ZvCtaBUN3+Tbmd/5XTSeIVgyd5DyVS+Kjy6uwYqFqF8kzAhRR1ky/yXlm/5Y0jehMQZiHf4tN6fYKLFbGR7Vmjd6XHVR7S3YVhZmxnaq3CUpUXnXtC+7bLciIYv0gjNnNZ3LZVGtmN37agBePLSPFf3mYwjrjsOcQ/qiqyjYNb9G6hWivpEwI0QdVJq8mtTvLsFemIw+sDU+18Yzds8B0koKaB8QwdeDbkZ3kcviPza4Odd3jOT6jhJmnC02wIseMf6oKvy48+JmJv2vVS8ejhtU9v9Nizk8cC6mNuNAtZO5+HZyN7wi07eFuAAJM0LUMSWJS0n7cQQOcy6GiF6EXruU8VtXsSMnlTBPH34echu+Hhd/mWhUXDgLbulKuK9cYqoJ13Qo6535ZlvyRT93ZrfLGdOoPRaHnWvjv6Soz+v4dX0IgJw1z5Cz+mkJNEKch4QZIeqQkqR40n8eg2ovxbPxCMKv/pPHdq7m92N7MGp1LLp0IrGmAFeXKc7ihs5RKAqsOJzN0eyLm5GkUTTM738DnQOjOF5axOglc9H3mkbggFcByNv0KrnrnquJsoWoFyTMCFFHlKasIf3n0ai2EjwbjyDsim95/+BW3tldtuv1/AE30iMk9qLb3ZNewLN/7mVPeoGzSxaniPH3ZFDTIAC+2nrxvTPeegOLhkwk3NOHnTmpjIv/ElOnewkc+DoAuetnkLN+hlNrFqK+kDAjRB1gzdlP+s9Xo1qL8IwdSugV3/BXWgL3r18EwIyul3Nt445Vavvzzcd48Z8DPPXHXidWLM5mQo8YrmwbRtdovyo9P9rbn4WXTsSo1fFb0h6e3Pw7fp3vJbD/ywDkrp0ug4KFOAsJM0K4mL34OGmLRuEozcYQ3oPQK79jd0EONyz/HIeqMqFFdx5tP7hKbauqyoITvQQ3dIpyZtniLG7pGsNPt/VgWKvQKrfRIySWT/vdAMBr/y5n7oEN+HWdil+PxwHIXHInJYlLnVKvEPWFhBkhXEi1mUn/5VpseYfQ+TYm7KofybTZueqfTymwmhkY3pQ5va9BUZQqtb/2aA5HckowGbRc0bbqv2BF7RrbtBPPdhoKwJ1rfmBF2iECej+Hd6ux4LCR8etYLNl7XFylEHWHhBkhXCh71eOYU9eiMfgTNvonHMYgxi77nKOFObTwDeb7SybgodVVuf15G5MAuDouAi+PqrcjLk5CVjGzlh3EZndUuY1nOg3lusYdsTrsXLt0PgmF2YQM/RhDZF8cljwyfh2Lw1LoxKqFcF8SZoRwkaL935O/7f8ACBk+D4/ANjy75U9WpB/GR29g0aW3EWjwqnr7ZhvfnFgo77YeFz9wWFSNze6g5zsrefy3PSw5mFnldjSKhk/7j6VbcDRZ5mKuXjIPu0ZH2BXfoPWOxJq9l8wld8qUbSGQMCOES1hzD3L8nzsA8Ov2MF5NLudwQRZv7loBwKf9bqC1f/UuC32/I5UCs43mwd70bxpY7ZpF5ei0Gq47sTDhZ5uOVastL50HCy+dSJDBi505qXx6YCNar1BCL/8SFC1F+76h4N9PnVG2EG5NwowQtUx12Dn+50RUSwGGyL4E9HkegKc2/4HVYWdIZEuubty+2ufJK7XiZ9QxoXtMlcfciKqZ2D0GKFsNOKvIUq22Ir38eLbTMACe2/oXhVYzxqi+BPR9AYDsFY/IxpSiwZMwI0Qty9/6Dua09SgevoSO+AxFo2PD8US+TdiGgsKs7lc45Tz39W9KyrRh3Nu3iVPaE5XXNdqPTpG+mG0OPt9cvd4ZKNvyoJlPEGklBbzxbzwAfl0exBDVD9VaSObfk1HVqo/PEcLdSZgRohZZc/aTs2YaAEEDZqHziUFVVR7b+CsAtzTvSsdA5+2d5KnX4mOUgb+1TVEUJvdsBMDH649We1yLh1bHS10vB8qma6cV56NotIQM+xhF701p8koKtr9f7bqFcFcSZoSoJaqqkrn0PlR7KcbYIZjaTQTgl6TdrEg/jFGr44Uuw6t9HrtDZc2RbBkY6mLjukThqdewO72QtUdzqt3etY070CM4hiKbhee3LQZA79eUwH5lqwLnrJmGvTij2ucRwh1JmBGilhQf+onSpKUoWgPBl85GURRsDjtPbPoNgAfaDSDa27/a5/lzbwb9Zq+m//+tlkDjQn6eeq7vGInJoOVgZlG121MUhVdOXIL8eP969uaWBRef9v/DI7QzDkse2auerPZ5hHBHEmaEqAUOWynZKx4DwLfrg+j9mgInfinlZRBs8K7yKr+ne2/NEQB6xgbIwF8Xm3F5G1KeHcat3WKc0t6A8GZcGdMOu+rgyc2/A6BotAQNfheAwt2fUZqyzinnEsKdSJgRohbkb30HW34CWlMU/t3LQk2BtZTntv4NlC2Q5ufhWe3zHMws4o+9GSgK3NmncbXbE9UT4WvEZHDumKWZ3S5Hoyj8lPgvq9LLZjEZI3pgajcBgJzVT0mPnGhwJMwIUcMc5nzyNpXtfBzQ9wU0em8A3vg3nozSQpr7BPO/Vr2ccq45J3plhrcKpXmwt1PaFNWnqirrjuY4JWS08Q9jUoueADy28dfyNgN6PYuiNVCavJKSxH+qfR4h3ImEGSFqWP72/8NhzkEf0ApTqxsBSCvO5/UTU2xf6jaiWlsWnFRssTH3xPYFd0mvTJ2hqiqXzFlLn3dXseRA1VcEPtW0zsPw0ulZd/woPx7dCYDOJxqfDlMAyFnzrPTOiAZFwowQNchhzidv81sA+Pd8CkWjBeD5bYspslnoGRLLNY06OOVcX21NJrfEStMgL4a3lk0l6wpFUYiL8AHgnZXOWdwuwsuXh+IGAfDkpt+xOuwA+Hd/BEXvjSV9M8WHf3HKuYRwBxJmhKhB+dvfK++V8W55HQD78jL4eP96AF7uNtJpg3T/3Fs2u2VK78ZoNTLwty6558TChb/tTXfKzCaAh+IGEmo0cbAgkw/3rgVA6xWKb8e7AMjb/KZTziOEO5AwI0QNUe1W8k8sZObX47HyXpmnNv+BXXUwMqYNA8KbOe18397Sjb/+14vbejhn5oxwnlahJka0DkVVYfZq5/TO+OiNPNu5bJuD57ctJt9SCoBvp7tBo8ecshpz2kannEuIuk7CjBA1pOjgQuxFKWi9wjG1vB6AtRlHWHh0JxpFYWbXkU49n0ajMLRlCIFeHk5tVzjHff3Lemfmbkgiv9TqlDYnt+xJS98QMs1FvLpzGQA6UySmVjcA0jsjGg4JM0LUkPzt7wHg034yitYDVVV5/MQCeeObd6ddQLhTznO80EyR2eaUtkTNGdYyhNahJgrM/w3Uri69RsuMbmXbHLy5awXJRXkA+HW5H4CiQ4tkVWDRIEiYEaIGWLJ2Y05ZAxodPh1uB8q2LViVnoBRq2P6icsDzvDE73tp9NI/fLMt2WltCudTFIX7+pX1zpwc3+QMo2Pj6BvamBK7lelb/wLAI6QDhrDu4LBRuPcrp51LiLpKwowQNaBw79cAeDUejs47ApvDzpMnemXub+ucbQsAUvNL+WLzMbKLrcT6V3/RPVGzJnSP4ccJ3fhtUk+ntXnqNgfzDm7k35xUgPJF9Ar+nSvTtEW9J2FGCCdTVQdFexcA4N26bF2ZeQc3sScvg0CDl9O2LQB4Z1UCFruDvo0D6N040Gntipph1GsZHReBxsmzzXqHNubqRu1xqCpPbCrb5sDU6noUrRFr9h4s6Zucej4h6hoJM0I4mTllDbaCoygePng1vYJim4XnTnT/P9VxCP4G5/SgFJTaeP/Eir8PD2rulDZF7Smx2jmc5Zxp2gAvdb0cnaLh92N7WJZ6EI3BD6/mowEo3P+9084jRF0kYUYIJys68YvDu/kYNDpP3t61kpTifBqbArizdR+nnWf26gTySm20CvHmyrZhTmtX1LwVh7Jo8tI/3PTFFqddAmrpF1K+Lcbjm37FoTrwPhFmig/9JJeaRL0mYUYIJ1JVleIjfwLg1WwUmaVFzDoxZfb5LiMwOGHbAijrlXk9/hAATw1p6fTLFqJmtQ41kV9qY0NSLssOZjmt3Wc6DcWkM7Ap8xjfJmzHs/FlKFojtrzDWDJ3OO08QtQ1EmaEcCJb7gFseYdBo8czZhAvbf+HfGspnQOjuLFpJ6edZ+nBTHJKrLQM8eaGTpFOa1fUjlAfA5N6xgLw3N/7nNZrEurpUz4m66nNv2PVGPBsNASAkoQ/nXIOIeoiCTNCOFHxkb8BMEb144jZwpy9awB4uftINIrzvt1GxYWz65FBfHx9R3Ra+TZ2R49f0hyDTsPKhGwW7z/utHYfaNefCE9fjhTmMGfvGjwbDQWgJHGJ084hRF0jPwWFcCJzSll48Yy5hGe2/InVYWdoZEuGRLZ0+rlah/rQr0mQ09sVtSPKz5M7T+xu/syfzuud8dYbmN7lMgBe3LaYktCycTTmtPWoDllcUdRPEmaEcCJzxhYAdnm1YMHhrSgovNzNedsW5JdaOXC80GntCdd6fHBzvPRaNibl8svudKe1O6F5N9r6h5FjKeGNY8loPPxQbSVYMnc67RxC1CUSZoRwEntpDra8w6jAtMSy1XhvataZTkFRTjvHrGWHaDNrGdP+2ue0NoXrhPoYyvdsWnc0x2nt6jRaZp4I0e/uWUVmaNksOtl4UtRXEmaEcBLLiV6Z1X49WZZ+FA+Nluc7D3da+8l5Jby54hAOFTpH+TqtXeFajwxqxpYHBzDj8jZObXdkdBsGhjfFbLfxulLWtjl1vVPPIURdIWFGCCcxp2/BjsIsXRcA7m7Tl8Y+zluVd9pf+ymxOujTOIBR7ZyzSaVwvQAvDzpF+Tm9XUVReKVb2TYH3+bb2K0JxpwmYUbUTxJmhHCS0uRV/KxvxW6bHj8PI090uNRpbf+bms+8jYkAzLqiLYoi68rUR4ezivhlV5rT2useEsvYJp1QgVnGvlhz9mMvdd7lLCHqCgkzQjiBareQl7yGN40nVmBtfwlBRm+ntf/E73twqHB1+3D6yB5M9dLmY7m0nbWcW77eyvFCs9PafbHrCPQaLav0jVipi5VLTaJekjAjhBOUHIvnM6UpKRpfor38uLdtf6e1/c/+4/y2JwOtRnH6uApRd3SO9CMu3If8UhvT/97vtHab+gRx14ltNGYZ+1Ioi+eJekjCjBBOkLL/Z+YYugMwvctleOr0Tms7q9iCv6eeO/s0pmWIyWntirpFo1F47cq2AHy47ii70wqc1vZTHYfgp9WxRxvClwnbZJ8mUe+4NMzMnDmT7t274+PjQ2hoKKNHj2bfPplyKtyLqjp4PfEIeRojbb1N3Nqsm1PbH9spin2PDeaFy1o5tV1R9wxqHszouHDsDpV7F+50WugIMnrzWIdLAHidVuSlyKUmUb+4NMzEx8dz9913s27dOhYvXozNZmPYsGEUFRW5siwhLsqBg38yT2kGwMs9r0arcf63VYjJgJ+n83p7RN312pVtMeo0LDuUxddbk53W7n1xg4nU2EjV+PDWxu+c1q4QdYFLw8yff/7JhAkTaNeuHR07dmTu3LkkJiayefNmV5YlxEWZtvl3LIqOPgY7l8e2d1q7j/26m593pcklgQamaZA3Tw1pAcBDv+wmt8TqlHY9dXqmtSz7+nwr20pmUa5T2hWiLqhTY2by8vIACAw8+2wNs9lMfn5+hZsQrrQt7QDfFRsAeLnLMKdNmV5y4DivLj/EmHkbOZApPZUNzcODmtEp0pe7+zbGU++8H9MTut9CGzWHAsWD51fPdVq7QrhanQkzqqoydepU+vXrR1xc3FmPmTlzJn5+fuW3mJiYWq5SiP9YHXYmx89HVRSuIJU+rZyz2m+R2cb/vtsBwJ29ZdBvQ2TQadn4wACeHtISg07rtHZ1Og+eiyrbnPTD5GMcyHPebt1CuFKdCTP33HMPO3bs4Ouvvz7nMU888QR5eXnlt6SkpFqsUIiKpm/9i63Fpfg5SpnZqr3TemWe/WsfCdnFxPgbmSlTsRssrea/ryezzY7F5nBKu1d2m0B/61GsKNy8bC4Wu+ykLdxfnQgz9957Lz///DPLli0jOjr6nMcZDAZ8fX0r3IRwhfi0Q7yyYykAL1lW0arz7U5pd/3RHN5eeRiA96/pgI9R55R2hfvalJRLtzdX8tKSA05pzyOoLa8HloXwTTkZTNv6l1PaFcKVXBpmVFXlnnvu4ccff2Tp0qU0adLEleUIUSnZ5mJujf8KFbjWsovrWvZF6xlU7XbNNju3f7cdhwo3d4liRJuw6hcr3F5CdjG70guYueQAW5PznNJmm653MqNkCQCv7lzGkhTnBCUhXMWlYebuu+/miy++4KuvvsLHx4e0tDTS0tIoKSlxZVlCnJOqqty+6luOFefRxJ7DMyUr8O10t1Pa/nV3Ov+mFRDs7cEbo9o5pU3h/q7rGMm1HSKwOVQmLtjmlMtNno2HM9KkcIN5JyowfsXXHC8trH6xQriIS8PMnDlzyMvLY9CgQURERJTfvvnmG1eWJcQ5fbhvHYsS/0WPypvFfxLSbAQeQW2d0vY1HSJZOKE7c8d2Itjb4JQ2Rf0we0x7gr092JGaz/S/q7+wqKJo8O/+KE+VrqS5mkdqST6TV30rywAIt+Xyy0xnu02YMMGVZQlxVrtz03how88APFSymjjHcfx7PuXUc4yKC2dkW7m8JCoK9TEw55qyNWJeWXaQ5Qczq92mqfU4fHxjeLPwNzwU+DVpN+/tWV3tdoVwhToxAFiIuq7UZmXc8i8psVsZ6GHmNssWvJpdhSG0c7Xbfn35IZLz5NKqOL9rOkQyqWcsqgq3fL2VrCJLtdpTtHr8ez5BG0cmj9vKFip9ZNOv7MhOcUa5QtQqCTNCVMLjm35jR04qIR4GXs78Ag04pVdm3sYkHvl1N13fXEFBqUyRFef31lXtaBniTasQE1Z79cfOmFqPQ+fXlFsKVzPUpMdst3HT8i8otlUvKAlR2yTMCHEBvyXt5t09qwB4TbObELUI71Y3VLtXZmdqPnf/WLY43r39msg0bHFB3gYdS6f04a//9SLc11jt9hStnoA+z6EAL6XPJcLozZ68jPLLqUK4CwkzQpxHanE+t60sG5B+Z2QEfdN/Q9EaCez7YrXazS+1ct1nmyixOhjeKoQnLmnhjHJFAxDpZ6ywoN7xQnO12vNueT2GiF4E2rJ52zsdBYUP963jxyM7q1uqELVGwowQ5+BQHYxf+TWZ5iI6BITzQPLHAPh1fRCdb2yV21VVlf99t4P9x4uI9jPy2U2d0Wics3qwaDjMNjt3/rCDTm/Ek5ZfWuV2FEUhcMBrAHQ5/CkPNmkFwP9Wf0tSYa4zShWixkmYEeIc3vg3niUpB/DU6pnjk4k2/xBaUxR+3R6pVruzlh3i2+0p6DQK39zSVaZhiyqx2lVWHs4iNd/M2M83V2sMjTGiB6Y24wC4M2kO3YKiyLGUMH7lV9gdztlGQYiaJGFGiLPYlJnEU5v/AODVtl0I+/dtAIIveReNR9U3frTYHHy3vWy2yFuj4ujd+Ow7xAtxISaDjh/Gd8fXqGNlQjYP/bK7Wu0F9p+FxhiEkrWTOQFFmHQG4tMO8/KJbTuEqMskzAhxmkKrmZvjv8SmOrg6No4r984C1Y53y+vwanpFtdr20GmIv6sPH13Xkbv6NnZOwaLBahVqYv4NZQPRZ69K4L3VR6rcltYrhKBBrwMQsO1l3mrfC4Dntv3N2oyqtytEbZAwI8Rp7lu3kAP5mUR7+fGK5zGsmdvRGAIIGvhGldu0nXIJwNugY1LPqo+5EeJUo+LCeXFEawDuW7ST3/ekV7kt71Y34tnoMrBbGLb3VW5s0gm76mBc/JfkmmUtJFF3SZgR4hQLDm9l/sFNaBSFT9p1Qtn4EgCBg15H6121lXmLzDYGvreGl/7ZL8vFixrxxCXNmdA9BocK477cQk5x1daJURSFoEtno3j4YklbxwzdQZqYAjlamMOda3+Qr19RZ0mYEeKEhIIs7lzzAwBPtOtHqw0PlV1eanUDptbjqtSm1e5g7OebWXs0hzdXHOZYXtVnnQhxLoqi8P41HRjVLozPb+pCgJdHldvS+zYi+NL/A8C++WXmto1Dp2j4NmEb8w5udFbJQjiVhBkhAJvDzi3xX5FvLaV3aCOmZHyHLf8IOt/GBF/yLopy8VOny6Zgb+f3vRl46jX8clsPYvw9a6B6IcrGYy2c2IMrnLC3l6nVWExtbwXVQaN1DzKtfX8A7l+3iP15x6vdvhDOJmFGCOD5bYtZe/wofh5G5gRZMR/4FhQtIcM/Q2Pwu+j2VFXl8d/2MH/TMbQahW9u6SYzl0StOpxVxDXzNpJbYq3S84MGvYnOvzn2giRuPTKHQeFNKbJZGBf/BWa7bL0h6hYJM6LBi087xIztSwB4u2UbTOvL9lwKHDALY2SvKrX53N/7eXX5IQA+uq6jU/5aFqKyVFXl2vmbWPhvGld+sp5iy8WHD42HD2FXfIOi88Ka9A/vGI8SZPBiS1YyT59YtkCIukLCjGjQss3F3Br/FSoqtzZqzYDND4Nqx9TmZnw73VOlNjcl5fL84v0AvHZlWyZ0j3FmyUJckKIozL2hE35GHauP5DB67sYqBRqP4PaEDCtb+dpr+5u82zgCgDd2xfNX8j6n1ixEdUiYEQ2Wqqr8b/V3HCvOo7lPAI8nvoOjNAuP0C4EXfp/VRonA9Atxp//u7o9r4xsw9SBzZxctRCV0zHSj98n98TbQ8s/BzK58pMNFJkvPtB4t7y2fNXrHpsf4fboxgBMXLmA9JICZ5YsRJVJmBEN1kf717Pw6E70Gi1vW1fikbsXrU8MYVf9gEZ3cQN1VVWloPS/XxR39mnMI4ObO7tkIS5K78aB/Hl7L3wMOpYdymLEx+srfJ1WVkCf5/FqPgbsFh488CLtfPxJLylg4soFOFTZ7kC4noQZ0SDtzk1j6vqfAHjcmEGr9KVoDP6Ej/4FnSnqotpyOFQe/HkX/f9vdZXX9xCipvRtEsjf/+uFn1HHqoRsHvpl10W3oWi0hAyfjyGqHx6WbN7I/RajRstfyft4Z/eqGqhaiIsjYUY0OKU2K+OWf0mJ3cogg4VbUr9E0RoIu+pHPILaXlRbNruDSd9u452VCexIzefv/TJtVdQ9PRsF8M+U3gxuFsTMy9tUqQ2NzkjYlT+gD2xDs8K9PK3uAODxTb+xNSvZmeUKcdEkzIgG5/FNv7EjJ5UgjYOZxz9Do2gJGfE5xqh+F9VOkdnGtZ9tKp9+Pe+GToztdHG9OkLUlq7R/vwzpTdB3v8tqJdeYL6oNrTGAMJH/4LWJ5axuUu4jHSsDjvj4r+gyHpxbQnhTBJmRIPyW9Ju3t1T1i3+SsEvhGAmdMTneDcffVHtpOSVMvC9Nfy8Kx2DTsMP47txazeZtSTqtlMHtb+3+gitX1nKsoOZF9WGzjeWiGsXo/OJ4cX8nwinlH15x3ngxGVbIVxBwoxoMFKL87lt5QIAJpi3Msh+jJARn+Hd8tqLauff1Hx6vrOSLcl5BHt7sPiOXlzVLrwmShaiRjgcKt/vSCGv1MaIj9Yzd0PiRT1f79eEiGsXE+wdzKuFv6Og8umBDXxzeFvNFCzEBUiYEQ2CQ3UwIf4LMs3FtLEf5xHLBkJGfIap5XUX3VaQtwcaBVqHmlh3Xz/6NQmqgYqFqDkajcLvk3tybYcILHYHk77dzn2L/sVqr/zMJL1fUyKuXUx/Ly13lpbt2TRl9TckFGTVVNlCnJOEGdEgvL7lN/5JO4xRtfKWJZ5GoxZeVJBxOP7bLTjC18hf/+vFmnv70TTIuybKFaLGGfVaFtzclWnDWgIwe1UCwz9cR2ZR5ce+6P2bETE2nodMRXSxpZBvs3Lj33OwOuw1VbYQZyVhRtR76w4u55ntywB4xr6F/tf8gGejIZV+fmaRmREfr2PexqTy+1qH+uDvqXd6rULUJo1GYdqwVvw4oRsmg5Zlh7Lo8+5qzLbKhxGdKZKY65bwf77Z+KqlbMzP5fG/X6vBqoU4k4QZUa+l7/uecfFfYlU0DCeVqdd8jCGsa6Wfv/5oDl3fXMHi/Zk88ssuCquwgqoQdd3ouAjW3tufZkFeTOoRi0Gnvajna43+dLtmIa/7la0I/Fbqcb7//SFUh3y/iNqhqKqqXviwuik/Px8/Pz/y8vLw9fV1dTmiDlFVBzlrX+COnev50aMtEYqVraMfIcQ/ulLPtztUXl56gOf+3o/NodIyxJvvb+1GXIR8nYn6K7/UislDh0ZTNuvpwPFCArz0BHsbKvV8VXUwedFTzMu1EuwoYrFvIu2u+Aytp4wrExU5+/e39MyIesdelE7yj1cyc/tf/OjRFg3w5bC7Kx1kErKKGfTeap75cx82h8r1HSPZcH9/CTKi3vM16suDTLHFxph5G+n0+gr+2pdRqecriobZVz5PWy8vMjXe3JVrYudX/ShNWVOTZQshYUbUL8VH/+Hjr0YzOCeMN4x9AJjRbSQDI1tW6vk5xRa6vbWC1Udy8DHomHdDJ76+uQu+RhkfIxqWtAIzdodKSn4pIz5azx3fb6/Uvk6eOj0Lht2Fp0bLWl0MA5ShPPnTYyStnYEqA4NFDZHLTKJecNhK+XXJNKYnJrNdV7bmS6DewLNdhnNPm34XtQP203/sZfmhTD6/sQtNgrxqqmQh6rwis40n/tjL7FUJADQK8OTTsZ0Y3Dz4gs9dmXaYB9b9yLacNAACHcXc55nDgyNewhTQtEbrFnWfs39/S5gRbm/dvj95Ys0CVlD2A9ZTUXkwbhAPdxiCn8f5d7+2O1TeXZXAJc2D6RBZ9jVktTtQAJ1WOi6FAFh+MJPbvtnGkZwSACZ0j+G9q9tj1J9/oLBDdfBdwnaeWf8dh0rLNmGNdBTyVJPmTB74IDrtxQ00FvWHhJlTSJhp2PZnH+PJJW+zsLDsS1inOpgYFc30/pMJ97rw18PmY7nc/cNONiTl0j3GnzX39kOrqXwPjhANSUGpjUd/280Ha48yrGUIf9zes9I9nlaHnY+3/8oL25eQrpbtDdVCU8qL3cdwTZtLLqrnVNQPEmZOIWGmYUotzmf6yk+Yl5KE7cSwrzGeZmZc+gAtQ5pd8PkZBWae/GMvczcmoqrga9Qx64q2TO4RWz74UQhxdmuPZBNqMtAsuGzByJxiC0dySugc5XfB5xZbSnl92Wu8mZxGnmIEoIunjpf73sqlMRe3Y71wbxJmTiFhpmHJs5Tw8qZFvLtvIyUnQsxARxozuo+kV4cbL/h8i83B7NUJPL94P/knBjKO6xLFKyPbEulnrNHahaivpny/g4/WH+XWrtG8OKI1UX7nv7QLcDxjFzP+nslHliBKlLLB9YMDgpjZdxzdQ2JrumRRB0iYOYWEmYah1Gbl//5dyszti8k5sXVMR3saz8VEMnLwM2g8fCrVzrfbUrjhi80AdI324+3RcfRpHFhTZQtR79kdKuO/3spXW5MB8NRreGhgMx4d3ByTQXfe56qqyuEd83hp40K+0jTDqpSNnxkd0YSXel1Ha//QGq9fuI6EmVNImKnfbA47n+1fx7RNP5NiLZvS2cyezeOmAsYNmY4huN15n6+qKsl5pUT7l/2laHeoDP9oHTd0imJi9xi5pCSEk6w/msPDv+xi9ZEcAEJNHjx2SXOm9G6M54UGCZvz2LbyBV46tJef9K1QFQUNKrc2ac+0bqOINQXUxksQtUzCzCkkzNRPqqqy6MgOnlr/HftKSgEIdxQwVXuEyX3vwLf5mPMOGFRVlWUHs3j2r70cyS7hwBOXXPAHqhCielRVZeG/aTz2624OZRUDMG1YS6YNa1Wp51uydrE2/nlmZFr4R1829s2gwJSWPXiiy+WEGE01VruofRJmTiFhpv5ZnryPx1d/wcaisimg/o4S7lL3c0/36wltPxFFc+6ua4dD5Zfd6cxccoANSblAWbf3H5N7MaCZLKcuRG2w2h3M35TEOysTWHpn7/KtEA5nFRFmMuB9gctPpcmrWBw/gxlFvmzQla3a7a3A1LZ9eajzCHz0Mr6tPpAwcwoJM/XHlowEHl85lyX5ZX/ReapWJtr38nDcIGK63Y9Gf+7F66x2Bwu2JfPK0oPsTi8EwKjTMKlnLE9c0kIG9wrhAqqqVuhBHfzeGnak5nNnn8bc07cx4b7n/r5UVZWigz/x09rZvGKJZJe2bPxMkAYebz+QuzoMx6iTVbndmYSZU0iYcX/70nbz9Kr5/FhQNiZGp9q5wZHAk3F9adHlTjQeF+5a3ptRQNtZy4GyadZ39WnM/f2bEuZTuc3xhBA1K6fYQs93VnEwswgAD62GW7pFM3VAU9qEnXsAv6o6KDz0K1+t+5BXS8NI0JaNn4nU2HmmbS9u63otOo1cQnZHEmZOIWHGfSUeXcnz677m8yIDthOzGK5UjzG9XR86dL0dje7c0zs3JeWyKSmXKX0al993y1dbaBfuw529G+PnKX+xCVHX2B0qP+1K47Xlh1h3NKf8/kHNgnhmaMvzbpGgqioFR/7mo7Wf8HpJIOmasj9ymislTGvZnht63IZG51Hjr0E4j4SZU0iYcS/20lxSd3/F6/8u52NbOMVK2Q+fgdo8Xmjfnz4dbzrnmJj8Uivfbk/hk/WJrE/MRadROPr0ECLO01UthKibVidk83r8IX7elYZDha/GdeGGzlHAmZenTpebupF31szl7TwNuScW3uvgyGJaTBgju09CH9CiVl6DqB4JM6eQMFP3qaqD0mMrOP7vXD4+epD39J3I0ZT1unTW25jR5TKGtR1xjueqrDicxdwNSXy/I5XiE9Oz9VqFsR0jeX54axoHykaQQrirpNwS5m9K4pFBzTDoynpoX1t+iMX7M7i5azRj4iLOuV5Ndk4iL6/6gDnHCyk+sfBeH1siT/gU07/D9Xi3uAaN3rvWXou4OBJmTiFhpm5SVRVr5k4K939L9r4fWFTiwdvGnqRoyt6jFgYdL3a7kmta9DnvX2Cfbkhk8rfbyz9uHWpiYvcYbu0WI+NhhKiHVFWlxctLOXxiare3h5ar20dwc9doLmkefNa909IKs3hh9Tw+SUnBStnjl1kPMtW+g45NB+Pd6no8Yy5B0crl57pEwswpJMzULZbsfeTs+4Y1+/9hdbGddbpotmgjMCtlf1lFGjyZ1nUkE1p0P2PQ3sHMIr7ZlkzzYG/Gdirrbs4uttDmlWWMigtnYvcYejUKkA3phKjnDmcV8cXmZL7Ycqx8wDBApK+RST1jee6ys69bc6Qgm+kbF/Ll0T04AI3qYJDtCL1tx+ilK6Jr08H4tr4eY1Q/FEVTS69GnIuEmVNImHEtVXVQnLqJtXt+ZumxXaw269isiyzfa+WkcKOJB+MGcnebfniemE6pqir/phXwy+50Fu5MZfOxPAD6NA5g1T39yp9rszvQaeUHjxANjaqqrDuaw+ebj/HNthRySqyM7xbN3Bs6lz8efyiLfk0CK/yM2JWTxjNb/uCnxF0V2vNVS+lmS6G3Jo8BES3p2fpyvBsNOe9kA1FzJMycQsJM7bOaC9mw9xeWHFrDipwsNijBFCkVZxEE6rQMimjB4Kg2DIpoRhu/sAo9Ko//todvtyVzJKek/D6tRuHS5sGM7RTJhO4x0gMjhChnttn5e99xovyMdIn2B2DLsVy6vbWSQC89I1qHMqJ1KJe1CiXIu+zn0Y7sFP48tpf4tEOsSjtIod1eoU0f1Uw3ezr9fL0Z3Lg7PduOxugTWdsvrcGSMHMKCTM1z+6wseXwCpYcXEX88WTWWT3IVyqOV/FTHPT19+fSxj24JLYDcQHhaE504yZkFbP6SDY3d40uP3703A38vCsdo07DpS2CubJdOGPiwgkxyTgYIUTlLNyZypTvd3C8yFJ+n6JAz9gARrQO5dau0TQ6MUHA5rCzNSuZ5Sn7WX50M6uzMyhQK/7B5K1a6K7Jp39ACIMbd6d36xF4GCq3ia24eBJmTiFhxvkcDgc7j21m8YHlxKcfYW2pQo5Scfqzj2qlt5eWQVFtGNpqCB2DG6HVlIWXrCILyw5msvjAcZYcyCwfyHfwiUtoGlQ2s2Dl4Syyi60MaRF8waXNhRDiXOwOlTVHsvljbwZ/7M1ge0p++WPL7uzNwGZla9ccyizC6nDQKsSEoijYHQ62ZiWz9NBKliftYG1hKflU/FnkrVropjMzIDiiLNy0uAQPvVySchYJM6eQMFN9DruVXUdWseTwWuKPH2N1qYas08KLl2qlp4eFgcFRXNq8H92b9EOvrfiNv+jfVF5cfICtKXmc+hWl0yj0ahTAm6Pa0fVE97AQQtSEY7kl/Lkvg6UHMpl/Y2f0J8bS3P3jTuasOUKEr4HBzYIZ1DyIAU2DaBHs/V+4Sd3Nkv1LWJF2mLUlKnmnXT73Uq1005XSPyCIQY260KflUIxGP1e8zHpBwswpJMxcPFthGnsTV7P06BbiM9NYY/EgQ1NxLQajaqW7roQBgaFc2rQXvVsMwUNvxOFQ2Xe8kFUJ2axOyOaO3o3o3TgQKAszV8/bBEC7MB8ubRnM0BYhDGgahI9Rel+EEK4z+dvtfLnlGGabo8L9QV56ejUK4Pvx3crXuQGwO+xsPbqOJQfiWXk8iXVm7Rk91EbVSldtEf18fRgY0ZI+zfpjCm4rM6UqScLMKSTMnJ+9OANz+hYOHNvI8tSDrCwoZh2BpGoqXgf2UO101ZsZGBDM4Ead6dviUjyNvuSWWPl733E2HSvbPmDzsTwKzLby500b1pJpw8qmSeYUW/h7/3H6NwmSjR2FEHVOqdXO2qM5LDuYyfJDWWxMysVsc9Ak0ItDT15aftx9i/7F7lDpGu1Hlyg/2ob5oNWobE9cx9KDq1lxPIm1JZB92thBg2qjs+M4fT0V+odE0adRd3zDu6DzbSwB5ywkzJxCwkwZ1W7BmrMPS+YuLFn/cjRjL/HZmay1ebJOF80xTcWuUD0OunjYGRAUzqVNutOrcV+ScmzsTMsn1t+zvLdlZ2o+HV+Pr/BcT72GnrEB9G0SyFVtw+ke619bL1MIIZzGbLOzLTmf7GILI9qEAeBwqAQ9+yd5pf/90eah1dA+wofOUX4MaBrEzV2jUVWVHclby8JNxlHWFFvJVCsuSeGh2uhkT6OXepy+Jk96hjTGL6wDHsHt8QiOQ+PRsAcXS5g5RUMLM6rdii0/AUv2XiyZ/2LN2kVu5h6O5qezRwlgnS6addpojmr9KzxPh0pnLwODwhozILY7lpJQDmSU8G9aATtT89mTUVje/Xpr12jm3Vi2joPN7uCS99cSF+5Dtxh/usf40ybUJOu+CCHqJavdwaJ/01h3NIdtyXlsSc6rEGyGtQzhz//1Kv/4tm+2Ee1npG2YCW/vEhJyt7EydQ+rcvPIcFScLaVX7XSyp9HTdowetmS6m4z4BbVBH9gKfWBr9AGt0Qe0RGv0r62X61ISZk5RH8OMqjqwFyZjzTlAafZ+krMOciQnicSCTI6VlpCieJOi8SFF40OqYiJXc+boeg3Q1suX5qYm+BFJt8BG3NW7OQAlVjs+T/6O47R33dtDS1y4DyNah/HssJa18EqFEKJuU1WVhOxithwrCzYtgr2Z2CMWKJu5GTLtrwrH6zQKLUO8aRtqokcLA74BBSxL2s6KjCTSrNaKx6p2IhyFRKgFZf86CohQC4nS64j1DSU2oBEhwS3xCGiJzq8Jet/GKLr6s3yFhJlTuGuYsZfmYMs/Qnb2IY5kJZCYl0pSYRaJJUUkW6wk40WqxkSaYsKmaC/Ynp/eA4PDB09rICW5vmRkGFHt/w26PX1V3Ss+Xo/JoCMuwof24b60j/ChcYAXmrPseyKEEOJMuSVW5m1M4t+0AnanF7ArraDCmMK7+jRm9tXty44tttDs9V8JDC5G9c4lS00n31FyrqbLearWspDjKCRCLSRSrxBt9CbGJ4hYv0hiA5sSFFwWdjTGILdabFTCzCnqYphRbWZsRSmY84+RlHuUxJwUjuank1iUw7HSEo5ZHaTgSYrGhwLlwilbi0qQRouP4oli96HI7ENBoY4Yb38W3NCHGG9//Dw8afziPyTm/vfN4WvU0SrERMsQb7pG+/PAgKY1+bKFEKJBU1WVY3ml/Juaz670QjpF+jKkZQgAm5Jy6fH2ylOPBp0ZPEpBb6ZfS286xhpIKsjkSH4GRwrzKVAdZz/RaUyquSzsUEyUFqIMBqK9fIg1BRHrH0lMYGN8/WLR+cTUqXE6EmZOUZthRrVbsJccx16cga0wlay8YyTmJnO0MJOkonyOmc1lQUX1IEXjQ7rijaMSI9h9sRMEmNDjp/Xh8tataRzYlFjfIMZ+8i/HshzAmWk70tfIsWeHln/83uoj6LQKrUK8aRViIszH4FYpXQgh6iuzzc7u9EIOHC9if2YhB48XcSCz7JZZZOHVK9ry0KBmAGxNzqPrmytAsYPeDHozBk8rYaYivA35+HibKcJCssVKnlq58YsBjhLC1UIiKCVSpxBt8CDa05toL39ifUOI9ovEyycKnXcYWq9wFA+fGv/9IWHmFNX5ZKiqA4c5F3txBvbi4zhKyv61F2dQUnyc5MIsEksKSS4t5ZjFTrJD999YFY3PGfsRnY1edRCi2GjqaSDa00SsTxC/77ayL9OExeIDNiM4/ruMFO1nJPGZ/wLKiI/WkZhTQpNALxoHep3415MmJ/4f4HXhGoQQQtRdRWYbDpXy9bh2pRXwwuL9HM0p5khOCekF5grHz7qiLQ+fCD6rjmQw4MOl6PRF+BuzCPAuwmAoxaa1UKhxkKNoKObCQxUAgh1F/43hoZQonUKUwUi0lzfR3gFEmYLw8AxG6xmExjMYrWcwWmPZ/zV6r4t+3c4OM/ViNTN78XEstlQcpTk4zNnYS7PL/l+ajaUkh7ySHPJL88krLSTPUky+tYQCq4VC9BQqHmRqvEhR/gsqGYo3qnLKhmP6s583SKMS7aGjMN9OabEei8VEkcWfIosfWD2x2PQofp7EnxJQVu5ehaUwh0AvPVFBRqL9PInyMxLlZ6RRQMUviD9u73X6KYUQQtQjp2/p0i7chwW3dC3/uMRqJzGnhGN5JSTnlVZYSV11aIn2DCK1wERmUSiZWRXbnjWyDZP7RJFUlMvSQweZ8c9qPD3yUTxKUfV2SnSQp9FiVTRkarzJ1Hizk7D/GrCcuOWCRs0nRE07ZQzPfwOXQzU2fA3e+Bh88DX64+vlj6dXMBpjIBpDABqjP1pDABpjABqDPxpjAA5b5UJWZdWLMDNxwRTMXt4UKh4U4kGBYij7v+JBiaIHQk7cTtBzzoByklZVMVgVdDY9DqsRq8Ubs8UH1epJmNGXw4+MxFNX1kj/2atYnZyDyaAlzGQgzN9AmI+BUJOBGP+KC8h9f2s3fI06vDzqxadeCCFEDfLUa2kVaqJVqOmMx/o3DSLxmaHYHSrHC80k55eSkldKSn4pGYUWBjQLwt/gib/Bk6xsPY6SIhKzrKe1ooLWyv2XRDGotYnEguNsPpbAr/sOo+rNWHV2SnQKDkVDumIiXWNi27mKtZ64FZRNRfdW0/AiCW/VirdqKfsXC16qFX3xhQdAX4x6cZlJ+b97UDzPP5jWqChgB9WmAYcWu12P3W7A4dCDTYefzodPr+5JrHcAsSZ/bpi3g30ZRQR56wny8iDQS0+glwdB3h5E+Bi4r/9/A2ozCsx4e2hl00QhhBB1ms3uILPIQkahhYxC84mbhf5NA8t7fTYm5nLnDzvILraQXWIlv9QKOkvZGB6dmVGd/WkWriOpKJe9WRnsycoCjR1V48BRyWXI1BIz6t2zZcwM/BdmNNNmoep9y8af2HXg0KJDR/MAP1beORAfvQEPrY5Hf91NRoEZX089fkYdfsayf/099YSaPMp3WBVCCCFEGavdQW6JlexiK9nFFqL9PYnxL1vj7FBmEe+sSiC/1Ep+qY2cUgu5paXkWkopsJq5tUcEl7cLptBqZntaNtP/2YOisaGz5mKZ9nT9CDMrVqzg1VdfZfPmzaSmprJw4UJGjx5d6eefDDMLNx8iMjigPJz4eeox6jQym0cIIYSoI4otNvZmFJJfaiM1M4eberesHwOAi4qK6NixIxMnTuSaa66pcjuXNA+uM+vMCCGEEOJMXh46upy4lJUf6tzZuC4NMyNGjGDEiBGuLEEIIYQQbs6tRqyazWbM5v/m3Ofl5QFll5uEEEII4R5O/t521kgXtwozM2fO5Lnnnjvj/piYGBdUI4QQQojqyMrKws/Pr9rt1JnZTIqiXHAA8Ok9M7m5uTRq1IjExESnfDLcRX5+PjExMSQlJTWosULyuuV1NwTyuuV1NwR5eXnExsaSk5ODv79/tdtzq54Zg8GAwXDmejJ+fn4N6ovgJF9fX3ndDYi87oZFXnfD0lBft0ZTyYVpLtSOU1oRQgghhHARl/bMFBYWcvDgwfKPExIS2LZtG4GBgcTGxrqwMiGEEEK4C5eGmU2bNjF48ODyj6dOnQrA+PHjmTdv3gWfbzAYmDZt2lkvPdVn8rrldTcE8rrldTcE8rqd87rrzABgIYQQQoiqkDEzQgghhHBrEmaEEEII4dYkzAghhBDCrUmYEUIIIYRbc8swc+TIESZNmkSTJk3w9PSkWbNmTJs2DYvFUuG4xMRErrzySry9vQkODua+++474xh389JLL9GnTx+8vLzOuWqioihn3N5///3aLdTJKvO66+P7fbrGjRuf8d4+/vjjri6rRrz33ns0adIEo9FI165dWblypatLqlHTp08/470NDw93dVlOt2LFCq688koiIyNRFIVFixZVeFxVVaZPn05kZCSenp4MGjSIXbt2uaZYJ7rQ654wYcIZ73+vXr1cU6yTzJw5k+7du+Pj40NoaCijR49m3759FY5x1vvtlmFm7969OBwOPvjgA3bt2sWbb77J+++/z5NPPll+jN1uZ+TIkRQVFbFq1SoWLFjADz/8wEMPPeTCyqvPYrFw3XXXceedd573uLlz55Kamlp+Gz9+fC1VWDMu9Lrr6/t9Ns8//3yF9/bpp592dUlO98033/DAAw/w1FNPsXXrVvr378+IESNITEx0dWk1ql27dhXe2507d7q6JKcrKiqiY8eOzJ49+6yPz5o1izfeeIPZs2ezceNGwsPDGTp0KAUFBbVcqXNd6HUDDB8+vML7//vvv9dihc4XHx/P3Xffzbp161i8eDE2m41hw4ZRVFRUfozT3m+1npg1a5bapEmT8o9///13VaPRqMnJyeX3ff3116rBYFDz8vJcUaJTzZ07V/Xz8zvrY4C6cOHCWq2ntpzrddf39/ukRo0aqW+++aary6hxPXr0UKdMmVLhvtatW6uPP/64iyqqedOmTVM7duzo6jJq1ek/qxwOhxoeHq6+/PLL5feVlpaqfn5+6vvvv++CCmvG2X5Gjx8/Xh01apRL6qktGRkZKqDGx8erqurc99ste2bOJi8vj8DAwPKP165dS1xcHJGRkeX3XXbZZZjNZjZv3uyKEmvVPffcQ3BwMN27d+f999/H4XC4uqQa1ZDe71deeYWgoCA6derESy+9VO8upVksFjZv3sywYcMq3D9s2DDWrFnjoqpqx4EDB4iMjKRJkybccMMNHD582NUl1aqEhATS0tIqvPcGg4GBAwfW+/ceYPny5YSGhtKyZUtuv/12MjIyXF2SU+Xl5QGU/6525vvtVhtNnsuhQ4d49913ef3118vvS0tLIywsrMJxAQEBeHh4kJaWVtsl1qoXXniBSy+9FE9PT5YsWcJDDz1EZmZmvbwccVJDeb/vv/9+unTpQkBAABs2bOCJJ54gISGBjz/+2NWlOU1mZiZ2u/2M9zMsLKxevZen69mzJ5999hktW7YkPT2dF198kT59+rBr1y6CgoJcXV6tOPn+nu29P3r0qCtKqjUjRozguuuuo1GjRiQkJPDMM89wySWXsHnz5nqxOrCqqkydOpV+/foRFxcHOPf9rlM9M2cbAHf6bdOmTRWek5KSwvDhw7nuuuuYPHlyhccURTnjHKqqnvV+V6rK6z6fp59+mt69e9OpUyceeughnn/+eV599dUafAVV4+zX7S7v9+ku5vPw4IMPMnDgQDp06MDkyZN5//33+eSTT8jKynLxq3C+0983d3gvq2PEiBFcc801tG/fniFDhvDbb78BMH/+fBdXVvsa2nsPMHbsWEaOHElcXBxXXnklf/zxB/v37y//OnB399xzDzt27ODrr78+4zFnvN91qmfmnnvu4YYbbjjvMY0bNy7/f0pKCoMHD6Z37958+OGHFY4LDw9n/fr1Fe7LycnBarWekQJd7WJf98Xq1asX+fn5pKen16nX7szX7U7v9+mq83k4Odvh4MGD9eav9+DgYLRa7Rm9MBkZGXX+vXQmb29v2rdvz4EDB1xdSq05OXsrLS2NiIiI8vsb2nsPEBERQaNGjerF+3/vvffy888/s2LFCqKjo8vvd+b7XafCTHBwMMHBwZU6Njk5mcGDB9O1a1fmzp2LRlOxk6l379689NJLpKamln+S/v77bwwGA127dnV67dVxMa+7KrZu3YrRaDznlGZXcebrdqf3+3TV+Txs3boVoMIPAnfn4eFB165dWbx4MWPGjCm/f/HixYwaNcqFldUus9nMnj176N+/v6tLqTVNmjQhPDycxYsX07lzZ6BsDFV8fDyvvPKKi6urXVlZWSQlJbn197aqqtx7770sXLiQ5cuX06RJkwqPO/P9rlNhprJSUlIYNGgQsbGxvPbaaxw/frz8sZNJb9iwYbRt25ZbbrmFV199lezsbB5++GFuv/12fH19XVV6tSUmJpKdnU1iYiJ2u51t27YB0Lx5c0wmE7/88gtpaWn07t0bT09Pli1bxlNPPcX//vc/t77ueqHXXV/f71OtXbuWdevWMXjwYPz8/Ni4cSMPPvggV111FbGxsa4uz6mmTp3KLbfcQrdu3cp7XhMTE5kyZYqrS6sxDz/8MFdeeSWxsbFkZGTw4osvkp+f7/bLKpyusLCQgwcPln+ckJDAtm3bCAwMJDY2lgceeIAZM2bQokULWrRowYwZM/Dy8uKmm25yYdXVd77XHRgYyPTp07nmmmuIiIjgyJEjPPnkkwQHB1cI9O7m7rvv5quvvuKnn37Cx8envLfVz88PT09PFEVx3vvtnAlXtWvu3LkqcNbbqY4ePaqOHDlS9fT0VAMDA9V77rlHLS0tdVHVzjF+/Pizvu5ly5apqqqqf/zxh9qpUyfVZDKpXl5ealxcnPrWW2+pVqvVtYVX04Vet6rWz/f7VJs3b1Z79uyp+vn5qUajUW3VqpU6bdo0taioyNWl1Yj/+7//Uxs1aqR6eHioXbp0KZ/OWV+NHTtWjYiIUPV6vRoZGaleffXV6q5du1xdltMtW7bsrN/L48ePV1W1bLrutGnT1PDwcNVgMKgDBgxQd+7c6dqineB8r7u4uFgdNmyYGhISour1ejU2NlYdP368mpiY6Oqyq+Vcv6fnzp1bfoyz3m/lxAmFEEIIIdxSnZrNJIQQQghxsSTMCCGEEMKtSZgRQgghhFuTMCOEEEIItyZhRgghhBBuTcKMEEIIIdyahBkhhBBCuDUJM0IIl5k+fTqdOnVydRlCCDcni+YJIWrEhXa9HT9+PLNnz8ZsNtebTTKFEK4hYUYIUSNO3fX6m2++4dlnn2Xfvn3l93l6euLn5+eK0oQQ9YxcZhJC1Ijw8PDym5+fH4qinHHf6ZeZJkyYwOjRo5kxYwZhYWH4+/vz3HPPYbPZeOSRRwgMDCQ6OppPP/20wrmSk5MZO3YsAQEBBAUFMWrUKI4cOVK7L1gI4TISZoQQdcrSpUtJSUlhxYoVvPHGG0yfPp0rrriCgIAA1q9fz5QpU5gyZQpJSUkAFBcXM3jwYEwmEytWrGDVqlWYTCaGDx+OxWJx8asRQtQGCTNCiDolMDCQd955h1atWnHbbbfRqlUriouLefLJJ2nRogVPPPEEHh4erF69GoAFCxag0Wj4+OOPad++PW3atGHu3LkkJiayfPly174YIUSt0Lm6ACGEOFW7du3QaP77OyssLIy4uLjyj7VaLUFBQWRkZACwefNmDh48iI+PT4V2SktLOXToUO0ULYRwKQkzQog6Ra/XV/hYUZSz3udwOABwOBx07dqVL7/88oy2QkJCaq5QIUSdIWFGCOHWunTpwjfffENoaCi+vr6uLkcI4QIyZkYI4dbGjRtHcHAwo0aNYuXKlSQkJBAfH8/999/PsWPHXF2eEKIWSJgRQrg1Ly8vVqxYQWxsLFdffTVt2rThtttuo6SkRHpqhGggZNE8IYQQQrg16ZkRQgghhFuTMCOEEEIItyZhRgghhBBuTcKMEEIIIdyahBkhhBBCuDUJM0IIIYRwaxJmhBBCCOHWJMwIIYQQwq1JmBFCCCGEW5MwI4QQQgi3JmFGCCGEEG5NwowQQggh3Nr/A6vpw36Gws1MAAAAAElFTkSuQmCC", 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" ] @@ -553,7 +604,7 @@ "source": [ "plt.plot(t_arr, A_ps_arr, label=r\"Point Source\", ls='--')\n", "plt.plot(t_arr, A_fs_arr, label=r\"$\\rho = $\" + ' ' + str(rho))\n", - "\n", + "plt.plot(t_arr, A_fs_int_arr, label=r\"$\\rho = $\" + ' ' + str(rho) + ' ' + 'integrated')\n", "\n", "plt.ylim(1,6)\n", "# plt.ylim(5,50)\n", @@ -569,6 +620,138 @@ "plt.show()" ] }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "plt.style.use(\"../examples/style.mplstyle\")\n", + "# plt.style.use(\"../examples/style_new.mplstyle\")\n", + "sns.set_palette(\"colorblind\")" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [], + "source": [ + "umin = 0.2\n", + "t_e = 10\n", + "t_arr = np.linspace(-20,20,1000)\n", + "u_arr = u_func(umin, t_arr, t_e)\n", + "rho = 0.7\n", + "A_fs_arr = np.array([A_gould(u, rho) for u in u_arr])\n", + "A_ps_arr = np.array([A_ps(u) for u in u_arr])" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(t_arr, A_fs_arr, label=r\"$\\rho = $\" + ' ' + str(rho), linewidth=3)\n", + "plt.plot(t_arr, A_ps_arr, label=r\"Point Source\", ls='--', linewidth=3)\n", + "\n", + "plt.ylim(1,6)\n", + "\n", + "plt.xlim(-20,20)\n", + "# plt.xlim(-2,2)\n", + "\n", + "plt.xlabel(\"Time\")\n", + "plt.ylabel(\"Magnification\")\n", + "plt.legend()\n", + "# plt.savefig(\"figures/ps_fs_magnification.pdf\")\n", + "# plt.savefig(\"../examples/figures/ps_fs_magnification.pdf\")\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 69, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "u_arr_2 = np.linspace(-3,3,200)\n", + "\n", + "A_fs_arr_2 = np.array([A_gould(abs(u), 0.6) for u in u_arr_2])\n", + "\n", + "plt.plot(u_arr_2, A_fs_arr_2, linewidth=3,color='C0')\n", + "plt.axhline(1.34, color='k', linestyle='--', label=r'$A_T$',linewidth=3)\n", + "plt.axvline(1.1, color='k', linestyle=':', label=r'$u_T$',linewidth=3)\n", + "\n", + "plt.text(1.2, 2.5, r'$u_T$', fontsize=30)\n", + "plt.text(-2.5, 1.5, r'$A_T$', fontsize=30)\n", + "\n", + "\n", + "plt.ylim(1,4)\n", + "\n", + "plt.xlim(-3,3)\n", + "# plt.xlim(-2,2)\n", + "\n", + "plt.xlabel(\"u\")\n", + "plt.ylabel(\"A\")\n", + "# plt.legend(fontsize=16)\n", + "# plt.savefig(\"figures/ps_fs_magnification.pdf\")\n", + "# plt.savefig(\"../examples/figures/ps_fs_magnification.pdf\")\n", + "# plt.savefig(\"../examples/figures/A_vs_u_lightcurve.pdf\")\n", + "\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "/Users/nolansmyth/opt/anaconda3/bin:/Users/nolansmyth/opt/anaconda3/condabin:/usr/bin:/bin:/usr/sbin:/sbin:/Library/TeX/texbin/latex\n" + ] + } + ], + "source": [ + "import os\n", + "print(os.environ['PATH'])" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [], + "source": [ + "os.environ['PATH'] += os.pathsep + '/Library/TeX/texbin'" + ] + }, { "cell_type": "code", "execution_count": 10, From bbba92aab9f8b7caa92e096c3b26e9313e480e22 Mon Sep 17 00:00:00 2001 From: Nolan Smyth Date: Mon, 4 Dec 2023 10:42:27 -0800 Subject: [PATCH 09/17] New plot extended --- examples/extended.ipynb | 153 ++++++++++++++++------------------------ nbs/01_ffp.ipynb | 3 +- 2 files changed, 60 insertions(+), 96 deletions(-) diff --git a/examples/extended.ipynb b/examples/extended.ipynb index 636924d..cacfc72 100644 --- a/examples/extended.ipynb +++ b/examples/extended.ipynb @@ -2,18 +2,9 @@ "cells": [ { "cell_type": "code", - "execution_count": 106, + "execution_count": 1, "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "The autoreload extension is already loaded. To reload it, use:\n", - " %reload_ext autoreload\n" - ] - } - ], + "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", @@ -376,47 +367,7 @@ }, { "cell_type": "code", - "execution_count": 115, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "1.0284123541835283e-11" - ] - }, - "execution_count": 115, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "calculate_rate(1e1, 1, u_t_nfw)" - ] - }, - { - "cell_type": "code", - "execution_count": 116, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "3.784003963556321e-12" - ] - }, - "execution_count": 116, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "calculate_rate(1e1, 1, u_t_nfw_101)" - ] - }, - { - "cell_type": "code", - "execution_count": 160, + "execution_count": 8, "metadata": {}, "outputs": [], "source": [ @@ -427,26 +378,19 @@ }, { "cell_type": "code", - "execution_count": 151, + "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ - " 0%| | 0/3 [00:00" ] diff --git a/nbs/01_ffp.ipynb b/nbs/01_ffp.ipynb index 92d3368..14edc29 100644 --- a/nbs/01_ffp.ipynb +++ b/nbs/01_ffp.ipynb @@ -377,8 +377,7 @@ "p = 1.0\n", "# f = Ffp(p, l = 1.0, b = -1.03, ds=8.5, u_t = 2)\n", "# f = Ffp(0, l = 1.0, b = -1.03, ds=8.5, u_t = 1, m_min=2.5e-6, m_max=3.5e-6)\n", - "f = Ffp(0, l = l, b = b, ds=ds, u_t = 1)\n", - "\n" + "f = Ffp(0, l = l, b = b, ds=ds, u_t = 1)" ] }, { From 96f2cae4ab3ff0626e70a44d46f395d301ea32eb Mon Sep 17 00:00:00 2001 From: Nolan Smyth Date: Tue, 20 Feb 2024 16:01:22 -0800 Subject: [PATCH 10/17] generating some lightcurves --- examples/extended.ipynb | 542 +++++++++++++++++++++++++-------------- nbs/00_pbh.ipynb | 65 +++-- nbs/09_lightcurves.ipynb | 95 ++++++- 3 files changed, 467 insertions(+), 235 deletions(-) diff --git a/examples/extended.ipynb b/examples/extended.ipynb index cacfc72..ab8697e 100644 --- a/examples/extended.ipynb +++ b/examples/extended.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 1, + "execution_count": 7, "metadata": {}, "outputs": [], "source": [ @@ -41,12 +41,12 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "plt.style.use(\"style.mplstyle\")\n", - "sns.set_palette(\"colorblind\")" + "sns.set_palette(\"colorblind\")\n" ] }, { @@ -187,7 +187,58 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 478, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "15.20758807032295" + ] + }, + "execution_count": 478, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "rho_func(1.818e-10, 1, 8.5)" + ] + }, + { + "cell_type": "code", + "execution_count": 467, + "metadata": {}, + "outputs": [], + "source": [ + "def Mcut(Amax, d, Rs, ds):\n", + " return (Amax**2-1)*d*(Rs*rsolkpc)**2*c**2/(16* ds**2 *G)\n", + " # return (-d * Rs**2 + Amax**2 * d * Rs**2)/(16 * c**2 * ds**2 * G)" + ] + }, + { + "cell_type": "code", + "execution_count": 476, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "1.817888876036051e-10" + ] + }, + "execution_count": 476, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "Mcut(1.01, 1, 1, 8.5)" + ] + }, + { + "cell_type": "code", + "execution_count": 327, "metadata": {}, "outputs": [], "source": [ @@ -200,33 +251,38 @@ " return u_t_func(rho, R90/eR)\n", "\n", " \n", - "# def d_upper_bound(self, m=None):\n", - "# if m is None:\n", - "# m = self.mass\n", - "# #Determine upper limit for d otherwise for low masses, the contribution which only comes from d << 1 gets missed\n", - "# d_arr = np.logspace(-3, np.log10(self.ds*0.99), 100)\n", - "# for d in d_arr:\n", - "# if self.umin_upper_bound(d,m=m) == 0:\n", - "# return d\n", - "# return self.ds\n", + "def d_upper_bound(m, ds, R90, ut_func):\n", + " #Determine upper limit for d otherwise for low masses, the contribution which only comes from d << 1 gets missed\n", + " d_arr = np.logspace(-3, np.log10(ds*0.99), 100)\n", + " for d in d_arr:\n", + " if umin_upper_bound(d,m, ds, R90, ut_func) == 0:\n", + " return d\n", + " return ds\n", " \n", "def differential_rate_integrand_new(umin, d, model, l, b, mass, ds, R90, u_t_func, tmin=0.07, tmax=3, finite=False, v_disp=None):\n", - "\n", - " #Analytically perform integral over t\n", + " # Calculate distance to galaxy center\n", " r = model.dist_center(d, l, b)\n", + " \n", + " # Calculate upper bound for minimum impact parameter\n", " ut = umin_upper_bound(d, mass, ds, R90, u_t_func) \n", " if ut <= umin:\n", " return 0\n", + "\n", + " # Calculate velocity dispersion if not provided\n", " if v_disp is None: \n", - " # v_disp = model.velocity_dispersion_dm(r)\n", " v_disp = model.velocity_dispersion_nfw(r)\n", "\n", - " A = 2/(ut**2 - umin**2)**0.5 * model.density_dm(d, l, b) / (mass * (v_disp*htosec)**2 ) * (2 * einstein_rad(d, mass, ds)* (ut**2 - umin**2)**0.5)**4 * kpctokm**2\n", - " B = (2*einstein_rad(d, mass, ds) * kpctokm * (ut**2 - umin**2)**0.5)**2 / (v_disp*htosec)**2\n", + " # Calculate factors for integral over t\n", + " einstein_radius = einstein_rad(d, mass, ds)\n", + " density_dm = model.density_dm(d, l, b)\n", + " A = 2/(ut**2 - umin**2)**0.5 * density_dm / (mass * (v_disp*htosec)**2 ) * (2 * einstein_radius * (ut**2 - umin**2)**0.5)**4 * kpctokm**2\n", + " B = (2*einstein_radius * kpctokm * (ut**2 - umin**2)**0.5)**2 / (v_disp*htosec)**2\n", "\n", + " # Define integral over t\n", " def integral_t(t):\n", " return A/(2*B) * (np.exp(-B/t**2 )/t - np.pi**(1/2) * erf(B**(1/2)/t) /(2* B**(1/2)))\n", "\n", + " # Return difference of integral at tmax and tmin\n", " return integral_t(tmax) - integral_t(tmin)\n", "\n", "def rate_total_new(integrand_func, mass, ds, R90, u_t_func, finite=True, tcad=0.07, tobs=3, epsabs = 1.49e-08, epsrel = 1.49e-08, efficiency=None): \n", @@ -268,6 +324,66 @@ "\n" ] }, + { + "cell_type": "code", + "execution_count": 352, + "metadata": {}, + "outputs": [], + "source": [ + "d_arr = np.logspace(-3, np.log10(8.5*0.99), 100)\n", + "e_r_arr = np.array([einstein_rad(d, m_arr[-1], 8.5) for d in d_arr])" + ] + }, + { + "cell_type": "code", + "execution_count": 362, + "metadata": {}, + "outputs": [], + "source": [ + "r90_max_arr = np.zeros_like(m_arr)\n", + "r90_min_arr = np.zeros_like(m_arr)\n", + "\n", + "for i, m in enumerate(m_arr):\n", + " e_r_arr = np.array([einstein_rad(d, m, 8.5) for d in d_arr])\n", + " r90_max_arr[i] = np.max(R90_values_dressed_expected[i]/e_r_arr)\n", + " r90_min_arr[i] = np.min(R90_values_dressed_expected[i]/e_r_arr)\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 366, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5, 1.0, 'Expected Dressed PBH')" + ] + }, + "execution_count": 366, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.loglog(m_arr, r90_min_arr)\n", + "\n", + "plt.xlabel(r\"$M [M_\\odot]$\")\n", + "plt.ylabel(r\"Min($R_{90}/R_E$)\")\n", + "plt.title(\"Expected Dressed PBH\")" + ] + }, { "cell_type": "code", "execution_count": 4, @@ -310,19 +426,20 @@ "source": [ "# params = {\"l\": 1.0, \"b\": -1.03, \"source_dist\": 8.5, \"obs_time\": 6*72*24, \"cadence\": 15/60, \"n_sources\": 2.4e8, \"efficiency\": 1, \"A_t\": 1.34, \"survey_area\":0}\n", "rsolkpc = 2.25e-11\n", - "params = {\"l\": 1.0, \"b\": -1.03, \"source_dist\": 8.5, \"obs_time\": 6*72*24, \"cadence\": 15/60, \"n_sources\": 2.4e8, \"efficiency\": 1, \"A_t\": 1.34, \"survey_area\":0}\n" + "params = {\"l\": 1.0, \"b\": -1.03, \"source_dist\": 8.5, \"obs_time\": 6*72*24, \"cadence\": 15/60, \"n_sources\": 2.4e8, \"efficiency\": 1, \"A_t\": 1.34, \"survey_area\":0}" ] }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 31, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "1.655346453341097e-10\n" + "1.655346453341097e-10\n", + "4.545648836200719e-11\n" ] } ], @@ -330,27 +447,11 @@ "R90_test = r90_vals_nfw[10]\n", "m_test = 1e-8\n", "print(rate_mw_new(m_test, params['source_dist'], params['l'], params['b'], R90_test*rsolkpc, u_t_nfw, tcad=params['cadence'], tobs=params['obs_time'], efficiency=None, epsabs=0, epsrel=1e-1))\n", + "print(rate_mw_new(m_test, params['source_dist'], params['l'], params['b'], R90_test*rsolkpc, u_t_nfw, tcad=params['cadence'], tobs=params['obs_time'], efficiency=None, epsabs=0, epsrel=1e-1))\n", + "\n", "# print(nfw.rate_mw_new(tcad=params['cadence'], tobs=params['obs_time'], efficiency=fake_effieiency, epsabs=0, epsrel=1e-1))" ] }, - { - "cell_type": "code", - "execution_count": 110, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "3.3222526736735023e-06\n" - ] - } - ], - "source": [ - "nfw = Nfw(m_test, l=params['l'], b=params['b'], ds=params['source_dist'], R90=R90_test*rsolkpc, u_t=u_t_nfw, rS=1)\n", - "print(nfw.rate_mw_new(tcad=params['cadence'], tobs=params['obs_time'], efficiency=None, epsabs=0, epsrel=1e-1))" - ] - }, { "cell_type": "markdown", "metadata": {}, @@ -367,7 +468,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 9, "metadata": {}, "outputs": [], "source": [ @@ -378,14 +479,14 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ - "100%|██████████| 3/3 [03:07<00:00, 62.63s/it]\n" + "100%|██████████| 3/3 [03:14<00:00, 64.83s/it]\n" ] } ], @@ -405,21 +506,14 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ - " 0%| | 0/3 [00:00" ] @@ -1006,7 +1150,7 @@ "\n", "# plt.plot(0, 0, ls='--', color='k', label='Existing Limits')\n", "# plt.plot(0, 0, color='k', label='This Work')\n", - "# plot_existing_limits()\n", + "plot_existing_limits_dpbh()\n", "plt.ylim(1e-6, 1)\n", "plt.xlim(1e-11, 1e2)\n", "plt.legend()\n", @@ -1026,7 +1170,7 @@ }, { "cell_type": "code", - "execution_count": 76, + "execution_count": 33, "metadata": {}, "outputs": [ { @@ -1041,6 +1185,8 @@ } ], "source": [ + "rho_arr = np.logspace(-1, np.log10(4), 50)\n", + "\n", "plt.figure(figsize=(18,6))\n", "plt.subplot(1,3,1)\n", "\n", @@ -1100,12 +1246,12 @@ }, { "cell_type": "code", - "execution_count": 26, + "execution_count": 482, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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" ] @@ -1115,48 +1261,54 @@ } ], "source": [ - "plt.figure(figsize=(12,12))\n", - "plt.subplot(3,1,1)\n", - "for R90 in R90_values:\n", - " plt.loglog(m_arr, fdm_dict_e[R90], label=r'$R_{90} =$ ' + str(R90) + '$ ~R_{\\odot}$', color=color_dict[R90], linewidth=2)\n", - " plt.loglog(m_arr, fdm_dict_e_101[R90], color=color_dict[R90], ls='--')\n", + "fig, axs = plt.subplots(3, 1, figsize=(12, 12), sharex=True) # 3 rows, 1 column, sharing x-axis\n", "\n", - "plt.text(1e-4, 5e-7, 'NFW Subhalo', fontsize=18)\n", - "plot_existing_limits()\n", - "plt.ylim(1e-7, 1)\n", - "plt.xlim(1e-11, 1e2)\n", - "plt.legend(loc='lower right')\n", - "\n", - "plt.ylabel('$f_{DM}$')\n", - "\n", - "plt.subplot(3,1,2)\n", + "# First subplot\n", + "ax = axs[0]\n", + "for R90 in R90_values:\n", + " ax.loglog(m_arr, fdm_dict_e[R90], label=r'$R_{90} =$ ' + str(R90) + '$ ~R_{\\odot}$', color=color_dict[R90], linewidth=2)\n", + " ax.loglog(m_arr, fdm_dict_e_101[R90], color=color_dict[R90], ls='--')\n", + "\n", + "plot_existing_limits(ax)\n", + "ax.text(1e-4, 5e-7, 'NFW Subhalo', fontsize=18)\n", + "ax.set_ylim(1e-7, 1)\n", + "ax.set_xlim(1e-11, 1e2)\n", + "ax.legend(loc='lower right')\n", + "# ax.set_ylabel('$f_{DM}$')\n", + "\n", + "# Second subplot\n", + "ax = axs[1]\n", "for R90 in R90_values_dressed:\n", - " plt.loglog(m_arr, fdm_dict_dressed[R90], label=r'$R_{90} =$ ' + str(R90) + '$ ~R_{\\odot}$', color=color_dict[R90], linewidth=2)\n", - " plt.loglog(m_arr, fdm_dict_dressed_101[R90], color=color_dict[R90], ls='--')\n", - "\n", - "plt.text(1e-4, 5e-7, 'Dressed PBH', fontsize=18)\n", - "plt.ylabel('$f_{DM}$')\n", - "plt.ylim(1e-7, 1)\n", - "plt.xlim(1e-11, 1e2)\n", - "plt.legend(loc='lower right')\n", + " ax.loglog(m_arr, fdm_dict_dressed[R90], label=r'$R_{90} =$ ' + str(R90) + '$ ~R_{\\odot}$', color=color_dict[R90], linewidth=2)\n", + " ax.loglog(m_arr, fdm_dict_dressed_101[R90], color=color_dict[R90], ls='--')\n", "\n", - "plt.subplot(3,1,3)\n", + "plot_existing_limits_dpbh(ax)\n", + "ax.text(1e-4, 5e-7, 'Dressed PBH-like', fontsize=18)\n", + "ax.set_ylabel('$f_{DM}$')\n", + "ax.set_ylim(1e-7, 1)\n", + "ax.legend(loc='lower right')\n", "\n", + "# Third subplot\n", + "ax = axs[2]\n", "for R90 in R90_values_axion:\n", - " plt.loglog(m_arr, fdm_dict_axion[R90], label=r'$R_{90} =$ ' + str(R90) + '$ ~R_{\\odot}$', color=color_dict[R90], linewidth=2)\n", - " plt.loglog(m_arr, fdm_dict_axion_101[R90], color=color_dict[R90], ls='--')\n", + " ax.loglog(m_arr, fdm_dict_axion[R90], label=r'$R_{90} =$ ' + str(R90) + '$ ~R_{\\odot}$', color=color_dict[R90], linewidth=2)\n", + " ax.loglog(m_arr, fdm_dict_axion_101[R90], color=color_dict[R90], ls='--')\n", + " # ax.loglog(m_arr, m_arr**(1/2)*1e-2, color='k', ls='--', label=r'$f_{DM} \\propto M^{1/2}$')\n", "\n", - "plt.text(1e-4, 5e-7, 'Axion Star', fontsize=18)\n", + "ax.text(1e-4, 5e-7, 'Axion/Boson Star', fontsize=18)\n", "plot_existing_limits_axion()\n", - "plt.ylabel('$f_{DM}$')\n", - "plt.ylim(1e-7, 1)\n", - "plt.xlim(1e-11, 1e2)\n", - "plt.legend(loc='lower right')\n", - "plt.xlabel('$M_{DM} [M_{\\odot}]$')\n", + "# ax.set_ylabel('$f_{DM}$')\n", + "ax.set_ylim(1e-7, 1)\n", + "ax.legend(loc='lower right')\n", + "ax.set_xlabel('$M_{DM} [M_{\\odot}]$')\n", + "\n", + "fig.subplots_adjust(hspace=0.0) # Adjust this value as needed to reduce space\n", "\n", + "\n", + "# If you want to save the figure\n", "# plt.savefig('figures/extended_limits_all.pdf')\n", "\n", - "plt.show()" + "plt.show()\n" ] }, { @@ -1460,44 +1612,7 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "M(rhoDressing, 0, (100/86.9)*3, 3, (100/86.9)*3)" - ] - }, - { - "cell_type": "code", - "execution_count": 160, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "(array([0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1. , 1.1, 1.2, 1.3,\n", - " 1.4, 1.5, 1.6, 1.7, 1.8, 1.9, 2. , 2.1, 2.2, 2.3, 2.4, 2.5, 2.6,\n", - " 2.7, 2.8, 2.9]),\n", - " array([0.00032799, 0.00054959, 0.00074178, 0.00091618, 0.00107774,\n", - " 0.00122922, 0.00137231, 0.00150816, 0.00163761, 0.00176128,\n", - " 0.00187963, 0.00199304, 0.0021018 , 0.00220616, 0.0023063 ,\n", - " 0.00240237, 0.00249451, 0.00258281, 0.00266736, 0.00274819,\n", - " 0.00282536, 0.00289888, 0.00296875, 0.00303496, 0.00309745,\n", - " 0.00315617, 0.00321101, 0.00326187, 0.00330854]))" - ] - }, - "execution_count": 160, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "Ms(rhoDressedPBH, 3, 0, 3, 0.1, (100/86.9)*3)" - ] - }, - { - "cell_type": "code", - "execution_count": 3, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ @@ -1561,7 +1676,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 3, "metadata": {}, "outputs": [], "source": [ @@ -1619,7 +1734,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 4, "metadata": {}, "outputs": [], "source": [ @@ -1642,7 +1757,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 18, "metadata": {}, "outputs": [], "source": [ @@ -1674,6 +1789,7 @@ " ax[0].plot(curve[0], curve[1], c=c)\n", " ax[0].plot(-np.flip(curve[0]), -np.flip(curve[1]), c=c)\n", " ax[0].set_ylim([-2, 2])\n", + " ax[0].set_xlim([-3, 3])\n", " ax[0].set_xlabel('u')\n", " ax[0].set_ylabel('v')\n", " \n", @@ -1694,32 +1810,32 @@ " plt.yscale('log')\n", " # plt.xscale('log')\n", "\n", - " ax[1].set_xlim([-4,4])\n", - " ax[1].set_ylim([0.9, 10])\n", + " ax[1].set_xlim([-3,3])\n", + " ax[1].set_ylim([0.9, 1e3])\n", " ax[1].plot([-15,15], [1.34, 1.34])\n", " # ax[1].plot([-15,15], [1.01, 1.01], ls='--', color='k')\n", "\n", " ax[1].set_xlabel('u')\n", " ax[1].set_ylabel('A')\n", " \n", - " # return(umags, Amags)" + " return(umags, Amags)" ] }, { "cell_type": "code", - "execution_count": 211, + "execution_count": 49, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "u_T = 0.5193024134463815\n" + "u_T = 0.9934097500076854\n" ] }, { "data": { - "image/png": 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", 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", "text/plain": [ "
" ] @@ -1729,27 +1845,42 @@ } ], "source": [ - "#w/o pbh\n", - "GenerateMagnificationCurve(rhoDressedPBH, 10, vmin=0.00001, vmax=6, vstep=0.001, umax=6, nusteps=1000, AT=1.34, plot=True, save=False)" + "#axion\n", + "# umags, Amags = GenerateMagnificationCurve(rhoAxion, 0.5, vmin=0.00001, vmax=3, vstep=0.001, umax=4, nusteps=1000, AT=1.34, plot=True, save=False)\n", + "# umags6, Amags6 = GenerateMagnificationCurve(rhoAxion, 0.6, vmin=0.00001, vmax=3, vstep=0.001, umax=4, nusteps=1000, AT=1.34, plot=True, save=False)\n", + "umags0, Amags0 = GenerateMagnificationCurve(rhoAxion, 0.01, vmin=0.00001, vmax=3, vstep=0.001, umax=4, nusteps=1000, AT=1.34, plot=True, save=False)\n" ] }, { "cell_type": "code", - "execution_count": 212, + "execution_count": 28, "metadata": {}, "outputs": [ { - "name": "stdout", - "output_type": "stream", - "text": [ - "u_T = 0.9922123046508637\n" - ] - }, + "data": { + "text/plain": [ + "2005.021604875475" + ] + }, + "execution_count": 28, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.max(Amags)" + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "metadata": {}, + "outputs": [ { "data": { - "image/png": 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", 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T2f5OwQ347m0fiOGIiOa2tWvXorq6GlVVVRBFEdnZ2ejq6vIrj6isrITBYJi35RFzQbTyGktBiIhoCpx7IfIymUx+ZR6iKMJsNqOqqgrAeHlESUlJQBs67+wsJT4GayIiCokfahJN2LRpE7Zv365sG41Gv57VALB582a/1nreID5fu2TMN6yxJiKikGTOWBMp6urqYDKZUF9fj4GBAVRWVgYE5oqKClgsFjQ1NSEnJwft7e3YsWNHjEZM0cZgTUREoXHGmkhRVlYW1syztzQEwKxdlEdzE0tBiIgoJMZqIqLwMVgTEVFonLEmIgobgzUREYUkQ4r1EIiI4gaDNRERTYEz1kRE4WKwJiKikNhuj4gofAzWREREREQRwGBNREQKYdI2+1gTEYWPwZqIiEKTefEiEVG4GKyJiCgk1lgTEYWPwZqIiEJiKQgRUfgYrImISMEYTUQ0cwzWREQ0BUZtIqJwMVgTEZEioCsIa6yJiMKWFOsBEBHRXMZgTZSI2tra0NraiqKiIoiiCACora2d1jkqKyuRk5OD6upqlJSUQBRFdHR0oLGxEZs3b0ZJScksjHxuY7AmIqKQePEiUeJpaWnBtm3b0NzcrOxra2tDeXk5Wltbwz6PKIpoaWlBU1OTsk+v16O5uXlehmqAwZqIiKbAUhCixCKKIjZt2oTDhw/77S8rK4PRaERTUxOqqqrCOldJSQmMRiNMJhMAwGAwoKKiIuJjjicM1kRENAUGa6JEsn37dhgMBuj1+oDbNm7ciMbGxrCDNTAeyMvKyiI4wvjGixeJiCgkloIQJZbm5mbk5OQEvc1gMMBkMik11zR9DNZERBQaczVRQuno6IDBYAh6m3e/2WyO5pASCktBiIhoCkzW8UxyDMHZvzfWw4i45LzVUGmzInY+o9EIs9mM0tJS1NbWwmQyobGxEXq9HqIooq6uLmjpRDwSRfGsP4vZbA774kOz2Yy2tjZlu6urC5s3b06Y39d0MVj78F7VKooi2tvbUV1dzbohIprXZEixHgKdA2f/XpxqvjnWw4i4hZXPImXxtRE5V319PTZv3gyLxYKioiIYDAa0traisbERZrMZa9euhV6vR11dXUQeby7zhmGLxRLW8WazGSaTya8m22QyYe3atejs7JyX4ZrB+ozq6mpUVlYqQdrbdmZwcHBe/sMgIgI4X02Jr6urC3q9XgmTW7ZsQWdnJwAo3S42btwYlbFUV1f7zf5O977T7UN9rnzb9XmVlJSgpKQEmzZtCnp7omOwPsNisaC5uVkJ1t46o46ODs5aE9H8xXZ7lMBMJhPKy8sBQAm0W7duVW6vqKgIaB/X1NSErq4uFBUVhSx78O3rPJ3SiMbGxhn+JJHhvWgx1MWN4SovL0d1dXUERhR/GKzPmPyuyvsudd26dbEYDhHRnMCuIPEtOW81FlY+G+thRFxy3uqInMc7uwpAmaWeqra4qakJra2tSmYwmUxYv369cl9gfPEV32NEUQw4JtF5g7nJZJp3C8XEdbAWRRFGo/GstU8zWbazsbExoS5WICKaGQbreKbSZkWsFjnRbd++/ayLm1RXV/utTOhdxrutrU35dHvLli1+s956vR45OTl+x8SSwWAI2fXDWw4TqmuIr+rq6pD5a7q12okkLoO179W7Z/uHOt1lO73vRsvLy6Neq0REFGsBMZqlIDQPmM1miKKolIUE47u6oC/vxY5lZWUQRREmkynoMb7lprHkfTMQjDdwhzPLvH379pA/j/c88/FT/7jsY11XV4fm5mbU1tZOOaPsXbbT950jML5KkMVi8auB8qqqqsLWrVvR1dUFo9EY6aETEcUZBmtKfN766pkEX71er4Rub6CcnE30en1YvaGrq6tRVFQ0o6/6+vqwxlteXh5yLF1dXWH/DqqqqkJenNja2hpydcdEF5cz1uGa6bKder0ejY2NEAQBubm5nLkmonlDmLTNWE3zQWtrK/R6/ZQlEN5Z3Mmzvb4hdarSh3DKIqJx8eKGDRuUT/4n/7wtLS0BpR2iKAZt5FBaWhq0hloURbS0tMzLjiBAnM5Yh2s6y3ZWV1cHvIPzfrxDRDRf8eJFmg/CrX+ura3Ftm3blG1vbpicNebykuB6vR5bt24N+FS+paUFBoMhoM68srIS5eXlAZ/yV1RUoLGxUZmt91q/fj2qqqrOWq+eqBJ6xrqjowMbNmwIetvkZTubmppQWVnp9+7NYrHMu6tZiYj8MVhTYvOdYDuburo61NfXo76+XvlE3GAwKME61GSeKIrn3MIukioqKqDX62E0Gv0aOwSbTCwvL0dHR0fQeunGxkbU19dj27ZtEEURFosFmzdvnrehGkjwYB3usp0VFRWora31e7fa1tamLGMaDqvV6ret1Wqh1WqnPWYiorlE5sWLlOD0ej0GBwfDPn5yeajRaFQuevROzlksFr/8MRcn6srKysKepZ+qJHaulss6HA44HA5le3JOmy0JHaynMrkVzObNm/0K/9vb29HZ2RlWyxkAWLp0qd/2d7/7Xdx7770RGSsRERHFnrfjhzdDiKIIs9msXK+l1+tRUlISUL9sNpvn7YIpsbJlyxZ873vfi/rjzttgPZlerz+nd13Hjx+HTqdTtjlbTUSJQYr1AIjmjE2bNqG6uloJ0kajMaDz2ObNm/1a63nLLOZCq735ZPPmzbjnnnuUbavVGjAJOhvmbbCO1LKdXjqdzi9YExElApaCEE2oq6uDyWRCfX09BgYGUFlZGRCYKyoqlJa+OTk5aG9vx44dO2I04vkrViW58zZYExEREU1HuHXJvq185/OFfPNRQrfbi9SynURE8xdnrImIwpXQwTpSy3YSEc1XrAQhIgpfQgfrSC3bGY7S0lIUFxejoaEhYuckIoo1LhBDRPGsoaEBxcXFKC0tjcrjJXSw3rBhAywWS9Bw3dLSEtHWN+3t7di3bx9qamoidk4iothjsCai+FVTU4N9+/ahvb09Ko8X98Hau9JPMNNdtpOIiPzJMtvtERGFKy67gtTX16O9vR1ms1n5Ki8vh16vx8aNG/0C83SW7SQiIiIimqm4DNbTXcgl3PY4REREREQzFfelIERENHt48SIRUfgYrCOEXUGIKCGx3x4RxbFodwWJy1KQuai9vZ1LmhNRwuGMNRHFs5qaGtTU1MBqtSIrK2vWH48z1kREREREEcBgTUREIXHGmogofAzWRESkmByjGayJiMLHGmsiIgqJwZooMbW1taG1tdVvjY/ptjP2MpvNymJ8OTk50Ov1qKuri9RQ4wqDNRERKYRJ2zK7ghAlnJaWFmzbtg3Nzc3Kvra2NpSXl097Ab2WlhZs2bIFzc3NMBgMAMZXxTYajfMyXLMUhIiIFIGlIESUSERRxKZNm7B161a//WVlZbBYLGhqagr7XCaTCZs2bcKOHTuUUA0AmzZtQktLS8TGHE8YrCOEfayJKDExWhMlku3bt8NgMECv1wfctnHjRjQ2NoZ9LqPRiM2bNwecq7y8HNXV1ec40siIdh9rQebnfOfE2xdxaGiIfayJKO6t/GM1jqkzle1PanT408e+E8MREVEklZeXA0DQko+WlhZUVlZicHAwaPD2ZTKZsHbt2rCOnQuildc4Y01ERFPg3AtRIuno6PAr2/Dl3W82m896nsbGxpAz3/MZL14kIqKQ2BUkvg05bdgz2BPrYUTcmuxCZCWnRux8RqMRZrMZpaWlqK2thclkQmNjI/R6PURRRF1dXcIESFEUz/qzmM1mlJSUTHlMW1ubEsTr6+sBAHq9Hl1dXUHLQ+YLBmsiIgqJsTq+7RnswY1PJN61P8/fVoPrClZG5Fz19fXYvHkzLBYLioqKYDAY0NraisbGRpjNZqxdu3betI/zhmGLxXLWY73hu76+3q9Nn/d31tnZOS/DNYM1ERFNQYr1AIhmVVdXF/R6vRImt2zZgs7OTgDjdcTA+EV90VBdXY22trYZ33emfahnymQyBbzhMBgMKCsrw6ZNm/za+c0XDNZERBQSL2+nRGYymZSL+byB1rcNXUVFBSoqKvzu09TUhK6uLhQVFYUse/BtWTed0ojpdOSYDd6FYnJycsK+T7B67bVr16K6ujqsspNEw2BNREQhscY6vq3JLsTzt9XEehgRtya7MCLnKSkpUWqJvbPUU9UWNzU1obW1VZmJNZlMWL9+vXJfYLyzhu8xoigGHJMoznYRZEdHB8rKyqI5pJhjsI6Q0tJSqNVq1NTUoKYm8Z7EiGi+YrCOZ1nJqRGrRU5027dvD5idnqy6utqvTV1JSQlEUURbW5sSILds2eI3663X65GTk+N3TCwZDIaQXT+85TChAvPk84RzEWSsNTQ0oKGhAR6PJyqPx3Z7EdLe3o59+/YxVBNRQmGspvnAbDZDFEWlLCQYb7315NDpvdgRGJ+dNplMQY+ZK/XG3jcDwXiD8Nk6gniPOVtwXrdu3bTHF2k1NTXYt28f2tvbo/J4nLEmIqKQuIYYzQfe+uqZzCjr9XoldHuD5uSZXN9jphKNixfLy8tDdjjp6uoK+3ewceNGVFZWBr3N+3sIZ+Y70TBYExGRYnKMZo01zQetra3Q6/VTBkHvLO7k2V7fWdup2tSF08IuGhcvbtiwQenbPfnnbWlpCQjdoigGrZWuqKiAXq9HS0tLQAlNc3Mzqqqq5t2FiwBLQYiIaEoM1pT4wq1/rq2txbZt25Rtb6ie3EUjVKnFXKDX67F161YYjUa//S0tLTAYDAEhubKyEuXl5X6dTryam5thNBr9ft6mpiaYzeZ50fc7GM5YExFRSJyxpkTnDYXV1dVnPbaurg719fWor69XLt4zGAxKsA7Vpk4UxWm1sJtt3tlmo9GIoqIi5Xfge2GmV3l5OTo6OoLWS5eVlaGxsRGbNm1CTk4OLBYLDAYDurq6ZvtHmLMEmQV058RqtSIrKwtDQ0PQ6XSxHg4R0TlZ8cdqHFdnKtsfUanxt7vm58wTUTi8PZurqqogiiKys7PR1dXlV2ZRWVkJg8Ewb2dx54Jo5TWWghARUUiceSGaYDKZ/MoeRFGE2WxGVVUVgPEyi2DdMsxm85QdRyhxMFgTEdEUGK2JvDZt2oTt27cr20aj0a9nNQBs3rzZr7WeN4jPhR7WNPtYY01ERCExVhNNqKurg8lkQn19PQYGBlBZWRm0W4bFYkFTUxNycnLQ3t6OHTt2xGjEFG2ssT5H3pqdVatWceVFIop7k2usN6gEPHTXT2I4IiKimfNdefHgwYOzXmPNGesIaW9v58WLRBT3Js+0SJx7IaI45p3w9E6EzjbWWBMRkUKGEOshEBHFLQZrIiJSBM5Pc8aaiChcDNZERKSYPGPNBWKIiMLHYE1ERIrJMZrBmogofAzWRESkCIjRzNVERGFjsCYiIoU86dpF5moiovAxWBMRkQ/WWBMRzRSDNRERKaSAPQzWREThYrAmIqKQGKuJiMLHYE1ERAqJpSBERDPGYE1ERAq22yMimjkG6wgpLS1FcXExGhoaYj0UIqIZC1wghogofjU0NKC4uBilpaVRebykqDzKPNDe3g6dThfrYRARnZPJQVpitCaiOFZTU4OamhpYrVZkZWXN+uNxxpqIiEJirCYiCh+DNRERKSZfvCgxWRMRhY3BmoiIFJIwKVjHaBxERPGIwZqIiBSeyTPWLAYhIgobgzURESkCSkFiNA4ionjEYE1ERApp0ssCgzURUfgYrImISDG5FIQLxBARhY/BmoiIAACyLEOefPEiczURUdgYrImICADgkQMLP3jxIhFR+BisiYgIAOCRA0M0a6yJiMLHYE1ERACCz1izxpqIKHwM1kREBCBUKQgREYWLwZqIiAAAbo8nYJ8UpDyEiIiCY7COkNLSUhQXF6OhoSHWQyEimhGPxxWwjzPWRBTPGhoaUFxcjNLS0qg8XlJUHmUeaG9vh06ni/UwiIhmzOlxBuxjsCaieFZTU4OamhpYrVZkZWXN+uNxxpqIiAAALnfgjDULQYiIwsdgTUREAABXkBlrD6M1EVHYGKyJiAgA4PK4A/bJk5Y4JyKi0BisiYgIQPBSEK68SEQUPgZrIiICEHzGWuKMNRFR2BisiYgIAOBiuz0ionPCYE1ERABClYIQEVG4GKyJiAgA4JKClYIQEVG4GKyJiAgA4A5aCsIaayKicDFYExERgFAXLxIRUbgYrImICAC7ghARnSsGayIiAgC4g9VYM1cTEYWNwZqIiAAAbs5YExGdEwZrIiICwFIQIqJzxWBNREQAALfkCdjHixeJiMLHYE1ERAAAT9BgzRlrIqJwMVgTERGAEBcvMlgTEYWNwZqIiAAED9YegcGaiChcDNZERASApSBEROeKwZqIiAAwWBMRnSsGayIiAgA4g7Tb8zBYExGFjcE6QkpLS1FcXIyGhoZYD4WIaEacQWasPXyZIKI41tDQgOLiYpSWlkbl8ZKi8ijzQHt7O3Q6XayHQUQ0Y64gwVoWBHgkCWoVAzYRxZ+amhrU1NTAarUiKytr1h+Pz5RERAQgeLCeaj8REfljsCYiIgChA7QjSO01EREFYrAmIiIAwZc0BwCXxxXlkRARxScGayIiAhD84kUAcEkM1kRE4WCwJiIiAIBLloLud7qdUR4JEVF8YrAmIiIAgFsKHqxZCkJEFB4GayIiAgC4Q81YM1gTEYWFwZqIiABMEazdjiiPhIgoPjFYExERAMAVohTE7mKwJiIKB4M1EREBANxy8K4gNqc9yiMhIopPDNZERAQgdCmIjaUgRERhYbAmIiIAoYO1g6UgRERhYbAmIiIAgFuWg+5njTURUXgYrImICMAUM9YeLhBDRBQOBmsiIgIAeELMWDtcDNZEROFgsCYiIgCAGyFmrLmkORFRWBisiYgIAOAOPmENp8cd3YEQEcUpBmsiIgIQuhTEyRlrIqKwMFgTEREAINS8tNPjiuo4iIjiFYM1EREBADwIcfEigzURUVgYrImICAAQfEFzwM5gTUQUFgZrIiICADhDvCQ4pFCRm4iIfDFYExERAMAFIeh+B7uCEBGFhcGaiIgATBGsJQZrIqJwJMV6AHNJfX09AKCrqwtmsxmNjY0wGAwxHhURUXQ4heBzLU6WghARhYXB+gyj0YjNmzdDr9cDAFpaWlBUVISuri6GayKaF0LVWNs9DNZEROFgKcgZbW1tsFgsynZFRQX0ej0aGxtjOCoiouiQZRlOqIPe5pSDL3VORET+GKwBiKIIs9kMs9nstz8nJweiKMZmUEREUeSWJUhC8Bprp8RgTUQUjrguBRFFEUajEXq9HnV1dSGPa2trQ2trK4qKipSgXFtbq9yu1+sxODgYcD+z2Yy1a9dGfNxERHPNVJ0/nDJLQYiIwhGXwdpoNMJsNqO0tBRtbW0oKysLeWxLSwu2bduG5uZmZV9bWxvKy8vR2toa8n5NTU0wGAyoqqqK6NiJiOYi+5TBOviKjERE5C8ug7Xv7PS2bdtCHieKIjZt2oTDhw/77S8rK4PRaERTU1PQ4OydCe/s7IzcoImI5rCpVld0MVgTEYUloWust2/fDoPBoHT68LVx48aQFyZu2rQJO3bsYDcQIpo3bC5HyNsYrImIwpPQwbq5uRk5OTlBbzMYDDCZTAEXJ3rb7pWUlERhhEREc4PNNea3rfGpq3aCwZqIKBwJHaw7OjpCzjp79/t2AmlpaUF5eblfqG5qaprdQRIRzQF2p3+w1skTM9ihVmQkIiJ/CR2sRVEMWgbiyxus29ra0N7ejpycHJhMJphMJrS0tERhlEREsWdzjvpt+wdrIiIKR1xevBgJ3sBtsVggiiIqKyshiqKyrLnXVJ1DfFmtVr9trVYLrVYbkbESEc220UnBOtMnWDs5Y01EccbhcMDhmHgem5zTZktCz1iHy9vHWpblgK+pWvn5Wrp0KbKyspSvLVu2zPKoiYgiZ9hu89vOkJ3K96GWOicimqu2bNnil8uWLl0alcedtzPW3osWQ13cOF3Hjx+HTqdTtjlbTUTxZMThX2Od4nPxImusiSjebN68Gffcc4+ybbVaoxKu522wjjSdTucXrImI4smo0+63nSJNdAJxQg1ZliGEWPKciGiuiVVJbkJ/vmcwGPy6fviyWCzKMURE892Yyz9Ya6SJ7yVBgFuWQEREU0voYF1SUhLQp9rLG7jZr5qICLBNmrFWT8rRU63MSERE4xI6WJeXl4ecse7q6gr7wkQiokQ35nb6bWtk/0pBh8cDIiKaWkIH6w0bNsBisQQN1y0tLaiuro7YY5WWlqK4uBgNDQ0ROycRUbSMuf2XNNdA47c9OsWS50REc1VDQwOKi4tRWloalceL+4sXRVFU6qUn0+v12Lp1K4xGI5qbm5X9LS0tMBgMqKioiNg42tvbefEiEcWtUZ8Z61TZhSRVit/tYy7b5LsQEc15NTU1qKmpgdVqRVZW1qw/XlwG6/r6erS3t8NsNitf5eXl0Ov12Lhxo19grqiogF6vh9FoRFFRkVJzHe7CL0RE88GY2618nya7oFGn+t0+4hiJ9pCIiOJOXAbr2traaR1fVlbGemoioinYpImLE9PgQnJSDoCJuupRBmsiorNK6BprIiIKj83n4sRU2QVtcqbf7cOO4WgPiYgo7jBYExERbNJEKYhW9iBDm+53uzjGYE1EdDYM1hHCriBEFM/s0kTj6mRZQqbWf8Z6yM5SECKKP+wKEqfYFYSI4pldnljCPFmWoE/TA+LE7QzWRBSPot0VhDPWREQEOyaCtUaSkZ3u/wI07GS7PSKis2GwJiIi2CdyNTSyjIxUHZLkiQsaRyYteU5ERIEYrImICHafl4MkWYBWm4lUTFzQOOpisCYiOpuYB+udO3fGeghERPOeb7BWQ0BKqg5p8kRv61E3lzQnIjqbmAfrysrKWA+BiGhek2QJdkGtbCdBjZSUDKT6BOsxtyvYXYmIyEfMg7XFYon1ECKC7faIKF7ZJoVmDdRI02qg9amx9l1AhogoXsybdnvPPPMMjEYjRFGM1RAiiu32iChejbqdftsaJCFVo/IP1j4LyBARxYtot9uLarDeuXMnGhsbsX37doiiCFmWIQhCNIdARESTBARrlQZpGjWS5YlFY8Z8viciouBmPVgfOXIEjY2NaGlpgdlsBgDIZxYi0Ov1GBoamu0hEBHRFCa30tOqtEjVqJHiF6yjPSoiovgzK8HaarWiqakJjY2NAWG6rKwM1dXVuOOOOwAAKlXMy7yJiOY10Sb6baeotdAmqaD1WeZ8VOani0REZxOxYG21WrF9+3Y0NjbCZDIB8A/TlZWV2LBhQ0B9S1lZWaSGQEREMyDa/T85TE1KgyAISPaZpR4DgzUR0dmcc7B+5JFH0NjYiLa2NgATYbqkpAQbN27Efffdh6effjrk/ae6jYiIZp/VbvXbTtekAQA0PrPUo1DzuhgiorOYUbB+5JFHsG3bNrS0tACYCNMGgwHV1dWoqKjAypUrAQCNjY0RGioREc0G0T7st52ZnAkA0PoEa4+ggs3jQlpSclTHRkQUT8IO1s888wyam5v9OnoA4xcgVlVVYePGjbj88ssD7sfZDSKiuW3QNilYa8dL9pKh9ttvddoZrImIphBWsP7GN76B+vp6CIIAWZah1+uxYcMGVFZWYv369bM9xrhQWloKtVqt9EskIooXAz7BOkV2ITVNDwDQCBq/44ZcdhSC/fqJKH40NDSgoaEBnigtchVWsL7vvvtQVlaGxsZG7NixA/X19diwYQMXRPHBBWKIKF4N2seU7zNkJ5JT9QDG2+75sk5qy0dENNdFe4GYsHvdlZWVobm5GRaLBdnZ2bj77ruxceNGPPLII7M5PiIimmWi06Z8nyk7kZKaDQDQqlP9jhuaVItNRET+ZtRE+o477sD27dvR1NSEgYEB3HLLLdi4cSOeeeaZSI+PiIhmmdU1sfJipuxAavr4rI42KdPvOHFsIKrjIiKKN+e0OktWVhY2bdqEp59+Gk1NTejs7MQtt9yCz33uc9i5c2eEhkhERLNp2O1Svk+T3chIGZ+pTk32L28bsnGlXCKiqURs2cOsrCx8/etfx9NPP43a2lo8/PDDuOWWW9DV1YVdu3aFvB8DOBFRbI1IExf1pMgeZGjHL79J1/rXI4oM1kREU5qV9cRXrlypLAzT2dmJhx56CO9+97vx05/+FEeOHFGOGxoawtq1a2djCEREFKaRiZXLoZUkZCSPt9lLT8mBIE8sv8gaayKiqUVsSfNQLr/8cqW/9Y4dO3Dffffh8OHDKCkpURaYISKi2Bnx+V4jQZmxTk3PRka/E8MY7w5isY8EuTcREXnNerD2tX79eqXvdVNTE7q6uriADBFRDMmyjFFZDZx5KlZLAjK04zPWKWnZyJQdGBbGg/WAT1s+IiIKNCulIOGoqqrC008/HauHJyIiAGNuJzw+ExwaWQVt0niwTkvPQZbsUG4bZB9rIqIpxSxYA+O9saPRrDsaSktLUVxcjIaGhlgPhYgobEMu/7Cc5PNBZmZaOnTSRLC2uFwgIoonDQ0NKC4uRmlpaVQeL6qlIMHs2LEj1kOICK68SETxaHJ5hxbJyve6lCSkS25leyhKSwITEUXKnF15cbZ4L2wkIqLo67eP+m2nqlKU73XaJKT4tOIbkmQQEVFoMQ/WREQUO/2TVlNMU6cp3+tSNEjxCdNDfMkgIpoSnyWJiOaxvpF+v+1UzcRHpbqUJCRJExc2OqGCzc06ayKiUBisiYjmsYExi992mjZP+T4lSQWN5P8yYXGw5R4RUSgM1kRE81j/mKh8r5PtSEmbCNaCIEAja/yOH3D412QTEdEEBmsionms3zaxmmK2ZEdyeq7f7Roh1W+bM9ZERKExWBMRzWN9Pu329LIdKRn5frdr1Zl+2wM+M9xEROSPwZqIaB4bcE4sAKOX7ciYNGOtTcr22+4f6Y3KuIiI4hGDNRHRPGZxTywAkya5oU9L9rs9PSXPb7tv1L89HxERTWCwJiKax0Rp4vtUSYI+1f9iRW16PrKkiWXPe1kKQkQUEoN1hJSWlqK4uBgNDQ2xHgoRUVg8koRhTPSpTvYIQYN1rjxRh907Nhy18RERnauGhgYUFxejtLQ0Ko+XFJVHmQfa29uh0+liPQwiorANOEYh+wRrtUeAPsU/WKdlFiC32wbzme1TdrbbI6L4UVNTg5qaGlitVmRlZZ39DueIM9ZERPNUj81/9lntSUJOmn+wzsrQI0eyKdu9TmdUxkZEFI8YrImI5qnTPj2sASBZ1iJJ7f+ykJuhRbrkUbb73R4QEVFwDNZERPNUz6QLEVNUGQHH5KZpkOqZuMJRlAV4JCngOCIiYrAmIpq3uq09ftspSfqAY3LSkqHxTNRhSxDQz2XNiYiCYrAmIpqnTg/3Kd9nyA6oUwoDjslNS4bK7X+d+2kbO4MQEQXDYE1ENE/1jA4q3+dLY1ClFQQck6FVQ+XR+u3rtY8EHEdERAzWRETzVo9PQM6Tx5CcHjhjLQgCkoQ0v32nx6yzPjYionjEYE1ENE+ddky00cuTxpCuCwzWAJCkyvHbPjWpNpuIiMYxWBMRzVO9LrfyvU5yIiczsCsIAKi0hciQHcr2CevpWR8bEVE8YrAmIpqHnB43LNJEtw+tB8hLTw56bFL6QhRKE2UjJ0YGZn18RETxiMGaiGgeOjk25Led4hawUJcS9FitbpFfsO5mVxAioqAYrImI5qETo/7BWu1OQmGmNuixOv0iFEgTvatP2h1BjyMimu8YrImI5qHjo6LftuRKRUGIYF2gS4dOcinbPW4PJJmrLxIRTcZgTUQ0Dx0f7vfb1siZ0KiDvyQU6rRIcU/UY7shoNfGXtZERJMxWEdIaWkpiouL0dDQEOuhEBGd1bGhk8r32ZINkjZ4qz0AKMzUQj1p9cUTk2q0iYjmooaGBhQXF6O0tDQqj5d09kMoHO3t7dDpdLEeBhFRWE74zFgXyiOQUleHPLYgQwvZ6V8mcnJ0COvyls7a+IiIIqGmpgY1NTWwWq3Iysqa9cfjjDUR0Tx03Gf1xEJpBJrM0CE5P0MLlzvdb9+JSTXaRETEYE1ENC+dtNuV7xdKw0jRLwl5rFolQFLnI1meWFDmuPXUrI6PiCgeMVgTEc0zdrcL/R5Z2dZ53Figy5zyPpK2AAt9elkfGeKy5kREkzFYExHNM5MXh0l2q0L2sFakLcESaaJ85PCwZTaGRkQU1xisiYjmmSMjg37bKlcylupTp7yPNnsFlkoTgfyobXSKo4mI5icGayKiecY8POC37XGmnTVYF+QswAKPTdnuc0sYdXEFRiIiXwzWRETzjNmnPlojezDi0mNxVsqU91mqT0WK2/8lY/LMNxHRfMdgTUQ0z3QNTiwOs1QagkNTGHLVReU4fQoEZ7LfvsMjrLMmIvLFYE1ENM/4loIslaxAWuhWe8px+lQ4nf6dQ47wAkYiIj8M1kRE88zhsYm2eUulIWizlp31PkuyUmBx5SJddir7zCJ7WRMR+WKwJiKaRwYdYxA9krK9SBpBZvbZZ6zTkpMwnLTIr+WeWeyelTESEcUrBmsionnEPKl8I8WlwtLs9BBH+5PTl/q13Oua1F2EiGi+Y7AmIppHJrfagzPlrK32vJJ1y7FSEpXtLtsYPJIU+g5ERPMMgzUR0TxycKjPb9vmyAo7WOfoF2Che2JhGIcMHBtlyz0iIi8GayKaVcMuO/55dA+OsjXbnLDfclz5fpFkRY+rAEW5aWHdd3lOGlKdar99ByYFdYqNF3vMeO7UO7EeBtG8x2BNRLNGlmWsf/IPqHjmflz26M/RM2Y9+51oVu0fnLjg0OAZRL9qEfLSk6e4x4Tz8tIhOfzrsSfPgFP0NR14DTc9+Tus/+8f8Ku3Xoj1cIjmNQZrIpo1ewZPoXPgBADA6rLjx7t3xHhE85ssyzg4MnHx4XmSBULmCgiCENb9i3LT0etaAL00sbT5frbci7nPvdKifH/PG4/HcCRExGBNRLPG6nL4bXdZ2UUilk6ODWHE52LDlR4RGTmGsO9vyE2D2bXY7wJG39ISIqL5jsGaiGbN5HlQCXJMxkHj9g/1+m1numQsy8sO+/4Z2iRYtcthkCYuWDzIN0tERAoGayKaNcKkaC3LDNaxdED0D9aSIx1FeeH1sPZSZ52PlT7B+pTTiWGXPSLjIyKKdwzWEVJaWori4mI0NDTEeihEc4ZqUu0uY3VsvS2eVr7XyXb0OcPvCOK1JH8Bcl1Ov31vTwrsRERzRUNDA4qLi1FaWhqVx0uKyqPMA+3t7dDpdLEeBtGcMvmaOM5Yx9a+gaPK9wbPILpci1GVO70Za0NuOpJP+HcR2TN4ClfkL4vIGImIIqmmpgY1NTWwWq3Iysqa9cfjjDURzZqAUhDOWceMLMvY7TOzfL5kwRFpWdiLw3idl5eOUXs2UmWXsm+PhZ1BiIgABmsimkWTL17kjHXsnBwbwqDbrWxf5OmDK+N8qFXhtdrzKspNwxH3YqzyTFy0uHuAnUGIiAAGayKaRZP7IzNWx84uS7ffdoHLjqULCqd9nvPz0tHlXowLpH5l357BU3zTREQEBmsimkUqloLMGbsnlWuo7Wm4qCBz2ufJTkvGYPJ5uNAzEawtLie6uaomERGDNRHNnskz1hJnNWPGd8Z6sWRFt6sQxQUZMzpXTt5KLHWP+O3bM8g6ayIiBmsimjUBNdYxGQUBwK6BY8r3F3r60eVagosWTH/GGgAuKtRBsPu36WOwJiJisCaiWRRQY80Z65gYczvxzvDEoi4Xefqw37UcFy6Y2Yx1cUEmTjoXoVAaVva9OXDynMdJRBTvGKyJaNZwxnpu2DvYA8ln+0JPP0bSLkJmysyWMiguyMAB13Jc7OlT9rX3Hj7HURIRxT8GayKaNVzSfG7o6Pdvh6dzAMsLFsz4fMUFmdjvWo5LPBMrOZpHh2BxjM34nEREiYDBmohmDZc0nxte75uor86WbLA4FsyoI4hXfkYy+jUGrPEJ1kBggCcimm8YrIlo1kxe0lySpeAH0qx6o/eI8v2lnh7sd62ccUcQYLx2ftmChdA7/PczWBPRfMdgTUSzJnBJc4o20WHDweGJVRIv8ZzGPtdKrC7UndN5Ly7MxDHHUiz1DCn72hmsiWieY7AmolkTWArCaB1tHZOWG7/Ucxpvu1bikoUzLwUBgJIlWdjjLMKlnp6Jx+o7ek7nJCKKdwzWRDRrAi9ejNFA5rH2Pv9gvchpR27uUqQlz6wjiNfli7Owx1WENZ5eZV+3bQQnR4emuBcRUWJjsCaiqOGMdfT5Xri4zCPihGMxLl+cdc7nXV2Yif3uIr/OIADwGmetiWgeY7AmolkTUArCXB1VsizjNZ/+0pd6TuNN5wW4LALBWpukxoqCAqTbVdDIHmX/S6fZz5qI5i8GayKaNZMXiJE4Yx1VB4b60OfTW3qtpxtvOlfh8sXnduGi1+WLsnDQacBqn3KQl06bI3JuIqJ4xGBNRLOGS5rH1guTQu46Vzd2O8+LSCkIAFy2WIc9riKUeiaWM9850A2r0x6R8xMRxRsGayKKGsbq6Hqhp0v5Xi/ZIDnSkZOVi5y05Iicv2RJFjodF2Kdu1vZJ0HGq6yzJqJ5isGaiGbN5BlqzlhHjyzLfsG61NON3c5VWLskMrPVAHDpwiy87V6Ji1wWCD5/ty/1sByEiOYnBmsiihp2BYmeIyMWnByzKtul7pMwOS/AVcuzI/YYmSlJWLUgC2bHcqySJhah4QWMRDRfMVgTUdRInLGOmhcmzRpf4T6Jnc5VuHpF5II1AFy1PAcdzov8ykFe7zsKm9sV0cchIooHDNZEFDWM1dHz7Kl3lO/TZScWuBw4Ji3G2iX6iD7O1cuz0eG4EFe7JxaicUgevMjuIEQ0DzFYE1HUsBQkOmRZRmv3QWX7CvdJdDqKcdnibKRq1BF9rKuXZ2OXcxVK3d1QyZKyv/XkwSnuRUSUmBisiShqWAoSHXsGT6HHNqxsX+8+itccq3FlBOurvS5ckAFNig7dzkV+y5u3dTNYE9H8w2DtQxRFtLS0oKioKNZDIUoIjNGx8fTJA37b17uP4TXHalw9C8FapRJw1TI93nBchOvcE8un7x48hR6fiyeJiOYDBuszTCYTtm/fDgAwm1kbSDQbOGEdHU/7lGEskYaQ7gLecS+ZlWANjF/A+IrjEr9gDQBtpw7NyuMREc1VDNZnlJSUoKqqCiUlJbEeClHC4pLms2/M7fS7cPB61zG84bgYi3SpWJ6dOiuPee3KbLzhKEaxux/pslPZzzprIppvGKyJKGq4QMzse76nC07Jo2yP11dfjJvPyw1YYj5SrlmRA7cqHXud5+FK9wll/9MnD8AjSVPck4gosSTFegDnQhRFGI1G6PV61NXVhTyura0Nra2tKCoqgiiKAIDa2toojZKIvNgVZPb95/jbyvdqWcLV7hOoc6zBt87Lm7XHTNWocfXybLzcdyludO/FMxoDAKDXPoLX+47hmoIVs/bYRERzSVwGa6PRCLPZjNLSUrS1taGsrCzksS0tLdi2bRuam5uVfW1tbSgvL0dra2s0hktEZ7AryOySZAmPH3tL2S71nMSAKwdH3Itwc9HsBWsAuOm8XDx64hI0uP6F76berOx//NheBmsimjfishSkrq4Ozc3NqK2thV6vD3mcKIrYtGkTtm7d6re/rKwMFosFTU1NszxSIvLFWD27OvtP4OTYkLJd7jLjeXsJlmenYmVu2qw+9s1FedjjLEKaR8Zq92ll/+PH35riXkREiSUug3W4tm/fDoPBEDR8b9y4EY2NjdEfFFEE2I7twOg7/4Qsz+361ck11ayxnl2PHtvrt13mMuM5ewlunsUyEK8rl+uh1Wjwin0NytwTF08eGOrDgaHeKe5J841n9DSG9z0A1xA7cFHiSehg3dzcjJycnKC3GQwGmEwmpeaaKF4Mv/UAeh65Fb3/3ojBV74T6+FMC2P17Hrs6ESwLvb0Ildy4HVHMW4+L3fWH1ubpMa1K3LwjH0dylz+gelfxzhrTeNkyYPuh69D/9N34+TfSuGxW2I9JKKISuhg3dHRAYPBEPQ27372rKZ40996t/L9UHt9DEcyfbx4cfYcGOrF2z4zw+UuM16zXwwHtLNeX+1183l5eNa+Fud5BrFEmihJefTo3inuRfOJ7Wgr3MNHAQCycxjWN38T4xERRVZCB2tRFKeswQYCg/VMZ7CtVqvfl8PhmNF5iBIZK0Fmzz+P7vHbLnd14Tl7CVYXZmKJfnb6V09264ULMCjpYHJe4Ddr/WrfURwd4cwkAZJzyG/bPXoqRiOhROdwOAKyWTQkdLCeijdwWyzjT/Zmsxn19fUwGo0AgMrKStTX14cdtJcuXYqsrCzla8uWLbMxbKK4xgViZs/D5p3K90s9Q7hAGkCr/UrcdlFB1MZw6SIdFulS0Ga7Au9z+S8Os/3wrqiNg+YwYVLs4LttmiVbtmzxy2VLly6NyuPGZbu92WAwGFBbWzvj/tbHjx+HTqdTtrVabaSGRpQwePHi7NhjOYU9gxMzfx9wHcBOx/no8eTitgsXRG0cgiDg1osWYEfnOmz23I+l0hCOq7IAANvMO/H1NTef5QyU6ARMWqRojl+ATfFr8+bNuOeee5Rtq9UalXA9b2esvTPRoS5unC6dTuf3xWBNFHixImusZ8dD5jf9tt/vOoCnbVchKyUJ16zIjupYbrtwAY64F6HLtRjvdU7MWr9pOcnuIAQErP7J5wSaHVqtNiCbRcO8DdZEFH2csI48SZbw8OGJYF3s6cV50iCesl2Jd1+wAEnq6D7Nl52fD41aQGuQcpBtPuUqNF9NnrHmkwIlloQO1gaDIWTXD29tdaiuIUQUeZyxjrxXe4/i6Migsv0B5wG87VyOo56FuDWKZSBemSlJuMGQi3/brsMF0gDO8wwot/3dbGI50Hw3ucaazwmUYBI6WJeUlIS8+NAbuEtKSqI4IqL5jUuaR97fzSble0GW8V7XIfzXdhVUAmISrAHgfcUF2O9aji7XYrzfZ9b6kLUfL/ceicmYaK7wn7Ge64tcEU1XQgfr8vLykDPWXV1dKCsri9hjlZaWori4GA0NDRE7J1GiYayOrDG306++utRzEgvlEfzbdh1uMORiQWZsrvX48JqFAAT8a+w6fMj5NgSfN1R/Pvh6TMZEcwRrrCnKGhoaUFxcjNLS0qg8XkIH6w0bNsBisQQN1y0tLaiuro7YY7W3t2Pfvn2oqamJ2DmJEg1LQSKr+fAuDDntynalcx/edJyPI+5FuOOShTEb11J9Kq5ano1/267DInkE17mPKbc1H9kFq8+Yab5hjTVFV01NDfbt24f29vaoPF7cB2tRFJV66cn0ej22bt2q9Kb2amlpgcFgQEVFRTSGSDRvTQ7SfA2NrD8fekP5PlN24D2ud/DY2A0QBOBDq2MXrAHgjjULccS9CHudBmxwTixpPuZ24eHDO2M3MIopgTXWlODiso91fX092tvbYTabla/y8nLo9Xps3LjRLzBXVFRAr9fDaDSiqKhIqblubW2N0eiJ5i/OWEfO2+JpvHT6sLJ9u3M/NLKE/9iuxbUrcrAoKyWGowPuuGQhvv7vfXh87Hp8LflBZEs2DKrGV4D8y8HXUXXBVTEdH8XI5FIQ1lhTgonLYD3dRVzKysoiWk9NRDPDGevI+dOkWuWNzrfwgv1yWKSsMzXOsbUiJw2lS/V47OT1qM16EB907cdftJcDAN7oP45dlm5cmrMoxqOk6GMpCCW2uC8FIaL4IYGzU5Ew6nLgr4cm6gUvcffgIqkfj47dCEFATOurfd1xyUL0S9l41r4WlT7lIADw230vxWhUiSX+2hfy4kVKbAzWRBQ1cZcB5qgHuzox6LQp23c692LAo0Or7QrcXJSHpfrUGI5uwsZLx2ekt4+uxyrJgqvcx5Xb/m42od8+GquhJYy4K6+aVGPNdnuUaBisI4Tt9ojOLu5CwBwkyRJ+4zPbmy3Z8AHXATwydhOc0ODja5fEcHT+luek4aaiXDxvL8FpTzbucuxSbrN73PjjwddiOLrEEHdvVtluj6KM7fbiFNvtEQWa/KLPl9Bz19p9CPuHepXt/3HugRYePDxajlSNak7UV/v6xLql8ECNR0Zvwrvch7FEGlJu+93br8AleWI4uvgnxdn/KoE11hRlbLdHRAkr/upB555fv/Wi8r1G9uB/nHvwqn01jrgX4cNrFiIzZW5dk37HmoVI06ixfbQMggx8zLFbue3k2BD+cWT3FPems4m7/1OcsaYEx2BNRFHDl9Bzs8dyCv89uV/ZvtV1CAXyKB4avQUA5lQZiFdmShI+vKYQxzyFeNZegg3Ot5AmO5Xbf7Ln2fgLh3NI3P3mJvexZo01JRgGayKKGokB6pxs2b3Db/vTjjfR69Gj1XYFFulSsP78/BiNbGqfWLcUAHD/yHuhg9NvwZidlm6/Nws0PfH3f4oz1pTYGKyJKGp48eLMHRrqQ/ORiYv/rnMdxWqpDw+O3AonNLj7ymVQqyaHlrnh5vPysCI7FS87LsFB1xJ82vEmNPJEbfV9u5+J4ejiW7z/n+KnFZRoGKyJKGr4Gjpz9Xue9Zud/LyjHTYpGQ+N3gK1SsCmq5bFcHRTU6sEVF+9AoCAB0bei0XyCD7ompilfun0YbzYY47Z+OJZ/AXTeBsv0fQwWEcI2+0RnV28z67FyvEREQ92dSrb69wncYWnG4+M3YRBSYf3Fxdgcdbc6F0dyqevWIpktQqPjt2AISkd1Y4OqHzqa3+0qy2Go4tf8dYVJLBVEGusaXax3V6cYrs9okAM0pHxo11tfm3pPufoAAD8ZeR9AIDqq5fHZFzTkZ+hxYZLF8Imp+DvI7dghTSEW13vKLe3dh/ECz1dMRxhfIq7CevJzwnx9wNQnGG7PSIiUhwa6sOfD72hbK92n8YN7qPYYVuLw+7FMOSmoXyOXrQ42WevWQFg/A2BXU5GjeMNCD7B6ludT8ZhaUNsxd3FiwHjjbPxE50FgzUR0Rz2nTefgsfn4/KvOl6FAOD3w3cAAL543Uqo5uhFi5NdvTwbly/WYUDSY9tIGVZJFtzuU2v9cu8RPHmCHUKmI94+FQoYb7y9MSA6CwZrIqI5ytR/AtsP71S2r3Ifx3XuY3jRfinedF6ArJQkfLp07l60OJkgCLjnxiIAwNaRD8Alq/El++tI8ukQ8i3Tk5BYdxu2uIulk4K0DP5dU2JhsCYimqO+aXrSb/tr9lcgAPiNtRIAUH31ijm30uLZbLh0EZbqU3DKk49/jt2IZbIVG336Wu+ydONh887YDTDOxF0pCGesKcExWBMRzUFPnngbT588oGyXu7pwmec0XrGvQafzIiSpBHzxuhWxG+AMadQqfPl6AwCgcfhDcMsq1DjeQIrsUo7Z3PEfjLocsRpiXIm3UhDWWFOiY7AmolkTdy/6c4TT48Y9rz+ubKtlCffYXwUA/Ha4AgBw5+WL53yLvVA2XbkcWSlJOOJehH+MvgsL5DHc7TApt58YG8JP9j4XuwHGkfi72JMz1pTYGKyJiOaY3779Eg5a+5Tt/3HuwfmSBS/aL8XrjtUAgK/fVBSr4Z2zzJSkMwvGAL8e3gCHrEGVoxMF0ohyzE/2PIujI5YYjTB+xH8pCGusKbEwWEcIF4ghokjoGbPi+ztble1syYYvO14DANQPfQwAUHnJQqxeqIvJ+CLlnhsMSNOo0ePJxYMjtyINbhjtLym32z1uGNv/E8MRxod4i9UsBaFo4wIxcYoLxBBRJPxv5xMY9qkv/n+OV6GXHXh09Absc43XJn+7fFWshhcxCzK1qLl2BQDgD8MfwrCUive7DqLE3a0c03xkF3Z0H4rRCOND/JVbTe4KEm/jp3jDBWKIiOapHd2HcP87Hcr2RZ4+bHS+BYechJ9b7wSQGLPVXl+/uQjpyWoMSjo0DX8QAoBv21/wO+Zzr7TA5nYFPwHFXSlIQE14nI2f6GwYrImI5oAxtxOfe6XFb993bc9BDRn/N/IenPQsAJAYs9VeeelafOG6lQCAPw2/H8fdC7DG04s7HXuUY7qGB/ADn9IY8hd/uZQ11pTYGKyJaNbE34t+7Hz/zafRNTygbP+PYzfWeU5hwKPDb6wbAIz3gE6U2Wqvr91YhAytGg5osWXoEwCAWvvLWOBzIeNP9z6HXZbuUKeY1+KulII11pTgGKyJiGLszYGT+PlbEyUQBdIIvm5/BQBQN/RxDMvp0KgF/PDWC2M1xFmTm56Mr55ZjfEp21V4zX4xMuHEd23PK8d4ZAlVL2+HW/KEOs28FW+lIGy3R4mOwZqIKIbsbhc++cJD8Ph8JH6v7TlkwgmTYxUeGbsJAPDZq1fgvLz0GI1ydn3txiIs1GkBCPj+0KfhkVV4t7sL5a4u5ZiO/hPYsntH7AY5R8XdjDVLQSjBMVgTxZH4WwyCzuabpiexV+xRtt/tegflbjMkWcC94ibIUEGXkoRvl58fw1HOrnRtEn7wnvHZ+AOuFXhg5FYA4zXmmfJEh5Qf7GxDe9+xmIxxroq7ZwSZXUEosTFYE8UTzu4klB3dh/BLnxKQPGkU37c9CwD42+i78daZ9nrfeNd5yEvXxmSM0XLXuqW45Ez9+C+sd6LbnYdCeRTfO/P7AMZLQj7xwkNc7txH3JeCMFhTgmGwJoonMmtME4XFMYZPvfiw374tth3IlW3odufhp0MfBQCsyE7Fl683xGKIUaVWCfjJ+4sBAKNyKr4tVgEAPuA6iPc5DyjHHbT2obbj3zEZ41wUd59isd0eJTgG6wjhyosUDTJnrBOCLMuoerkZJ8eGlH3/49iNm91HAADfHPwsRuQ0AMCvPrgaqRp1LIYZdeWr8vHhNYUAgOfsa/HvsWsBAPfan/Nb7vwP+1/FI0f2BD3HfBNvsTSg9IPPaTTLuPJinOLKixQVcfYixPrJ4H6170X88+hEMFzpGcQ3zizn/Y/Rm/CC43IAwPsuKsD7Ly6MyRhj5Re3r0Z68vgbie+Ln8aQlAG97ED9mH8v68+8tA3vWPtjMcQ5Je5KQdhuj6KMKy8SUWhxFqwp0MunD8PYPlHKoJE9+MXYf5EGNwYkPX4kfhIAoE1S4ZcfvDhGo4ydpfpUfOfMIjgDkh7fGhwvCbnWcxxV9olVKa0uOzY8+8C8X5Ux/t68shSEEhuDNVE8YY11XOu1DePO5/4Pbp83SN+xP4/VUh8AwGj5HIbkTADjFywachOzvd7ZfOUGA4oLMgAAT9iuxaOjNwAA7nG8ilL3SeW4XZZufPn1R2MxxDkj3mesZXCygBILgzVRHGGNdfxySR78z3P/51dXfbtzPz7i3AsAeGDkPXjWvg4AcHFBJr7xrvNiMs65QKNW4fd3XKJs3yvejV4pD0mQ8auxJ5EnjSq3/eng6/jD/ldiMcw5If5nrPmcRomFwZoonvBFKC7JsowvvPoInu2ZWPDkfM8AfmB7BgIAs2cZ7hPHl/NWCcCfN14GbdL8uGAxlOsNufjidSsBAMNyOr46MH79ygJ5DL8Yewoqn/8LX37tUTx76p2YjDPW4m3COkDc/wBE/hisieIJg3Vc+s2+l/DHg68r25myAw1j/0Ea3HAhGV/o/zIcGO9T/bWbzkPpMn2MRjq3/PjWC1GUO94d5RXHJWiw3gEAuNpzArX2l5Xj3LKEymfun5cXM0rxPmMdd+MnmhqDNVEckeOsxpqTUcCTJ97GV9sfV7bVsoRfjz0JgyQCAH40+HEccK0AAFyQn457b1kVg1HOTenaJPx542UQhPHtX1k34k33agDAZ5xv4sPOfcqxg04bbm/7M0SHLRZDjRn2sSaaWxisieIJZ6zjSmf/CXzk2f/zu8Dsm/YXcL17fFnu/9hvxIOj48t3q1UC/vKRy5EyT3pWh+t6Qy6+dKYkxAM1Ptf7FViFbAgAfmB7Fmvd3cqx+4d68aEdf4F9HnUKibdYGlgTzuc0SiwM1kTxhME6bhwa6sN7W7dixD2x/Pb/OHbj487dAICjWAnjQBWA8enYe29ZhauWZ8diqHPej2+7CKsLx7ul9EnZqOn9EmQI0MKD3439B4ukYeXYF06b8bEX/g6PND/+r8R9V5B4Gz/RWTBYE8WTIMGaL0xzz6kxK97zdBP67BPdK653HcW37S9AAOBQZeJTp74Km5wCALipKBffeNf5MRrt3JeqUeOhj61Fqmb8JesVxyX4ifXjAIBc2YY/jT6GLHniDcw/j+7BF157ZF7834j7riBECYbBmiiOBK+x5gvVXDLoGMNtT2/FkZFBZd+lntP47dgT0Jz52PuLvTU46lkIAMhJ0+CBOy+HWiXEZLzx4uLCTPzy9tXKdqP1A2h1rwcAnC9ZsHX0MWgx8f+j6cBruPfNp6I+zmiLuzcPAdcuxtn4ic6CwTpCSktLUVxcjIaGhlgPhRJZsFIQvjDNGaLDhvc83YTdg6eUfQZpCFtHH0M6xut+fzl6F3bYS5Xbt1ZeiiX61KiPNR7dfeUybLh00ZktAV/quRtHVBcBAEo8Pfj16BNQ+yS3H+5qw492tsVgpNET911BWN5Gs6yhoQHFxcUoLS09+8ERwGAdIe3t7di3bx9qampiPRRKZEFfhObuC2v8fUw9c0PO8VDd0X9C2Vco2/DXkX8gR7YDAJ6S3oPfDL5fuf2eGw340JqFUR9rvBIEAY0Vl8BwpgWfE8n4yImvYjRpAQBgvfswfji2w+8+33nzv7hv946AcyWK+HtfzXZ7FF01NTXYt28f2tvbo/J4DNZEcSToyovx98qacIacNtz69Fa09x9X9uXDgftHWrBIHgEAHEpahy91fwreixVvKsrFfbddFIvhxrWsVA3++clSpJ3pntInZWPjyVp41ONLoFe69uE7tuf87vPNzifx0z3PRnuoUeGS4qsFJ9vtUaJjsCaKJ6yxnnMsjjHc+vRWvN53TNmXByceHN6OImm8znow2YDKo1+CG0kAgCVZKXj4Y2uRpOZT8EysWajDnzdepmy/7VqJ6v5ayIIGAPAJ52580/aC332MHf/BD3Y+HX81yWfh23UmPkzqCsLnL0owfFYniicJMGOdSMHm5OgQbnqiwT9UC248OLwd550J1XbtIrz/qBHDcjoAIFmtQstd67AgUxuTMSeKDZctwtdvKlK2nx29GN8b/X/K9qecO/EN24t+97n3zadxzxuPQ0qgut4Rl9NvOy1JE6ORhCfg/38C/V0QAQzWRPElWLu9OJvxcXjcsR5CRBwa6sMNT/wWb4mnlX25ggcPWB/G+ZIFAOBJzsMHj/8vTnnylGP+8pHLcMUy9quOhB/fdhHec0G+sv2g5Ur8RapWtu92vhkQrn+970V85qXtcMdbCUUIk2esM5Lm+hs21lhTYmOwJoojQWus4+yFaTjuProOZOo/gRueaPBrqbdY5cJD1r9h1ZlQLWt0+Hjvt3DIOXFx4r23XIA7L18c9fEmKrVKwLaPr8Oli3TKvh9234L/JH1S2b7b+SZ+NLYDvs0MH3inA3c8cz9GXPH/b3F00ox1hmaOB2vWWFOCY7AmiidxVgoSbGTDcR5mHju6Fzc+2YBe+4iy73yVAw+LD8IgieM71GmoEb+J10eWKsd8fO0SfLuci8BEWmZKEv716SuwOCtF2felI+/Di2kfV7Y3ut7Cr8aehEaYiNf/Pr4PNz3xO5wcHYrqeCNt8ox1mnpul4JwxpoSHYM1UTxJgBlrq9Me6yHMiCzL+OmeZ3HHM/djzO1S9l+utuHv4v1YeKb7B5LS8dWxe/HU4HnKMTcYctBUeQkEgYvAzIYl+lT8+zNXIEOrPrNHwCcP3o6OjP9RjrnNdQh/GHkUqT5/B29aTuKqf/8Kbw6cjPKII2dyjbVqrv8bY401JTgGa6I4kgjt9uJxxtrpcWPTy80wdvzHr6b9Xeoh/NXyV2Sf6VMNTQb+1/FDPNo3cVHd5Yt1eOxTV0CbpJ58WoqgSxdl4R93lSJZ6bQiYOP+D2Ov/iPKMTe6j+Lvww+hIGnipa97zIobn2jAY0f3RnnEkRF//5/YFYQSG4M1UTxJgHZ78RYEToyKeNeTv8dfDr3ht/8zqmP4veUBZUVFaDLxHdePse3UMuWYVfnpePLuq5CVOtc/nk8M5avy8fePlWBidXgBt++twL78zyjHrPH0otnyR1ycPDGzO+p24sPP/BXf6nwSHim+ZlAHHKOxHsI0scaaEhuDNVE8SYAZa6srfkpB2roPYt3jv8CrfUeVfWpBwI+kndg8+KiyfLagzcY3XT/G305MXJi4JCsFT226im31ouzDaxbiTxsu89kj4P1v3oadBV9W9iySR/C3vt9hvda/jGLL7h24tXUr+u3xE1ZP24ZjPYTpYSkIJTgGa6I4kghdQU6NWWM9hLOSZAk/3tWG9zy1FX0+ISs7SYO/ONqwcXhi8REhfTG+Yv8pHj6xSNlXkKnF09VXYXlOWlTHTePuKl2KX39wtd++OzpvwGsFm5XtDLjQ0NuIak2f33E7ug9h3eO/wGu9RxEPeuIsWAeWfsTX8xfR2TBYE8WTYH2s42zG+qhPi7q5qHtsCLc+/Ud82/RfvxBwWXoq/jn0V1xje0vZp9JfiLuHf4LHT+qVfYWZWjz7uatx4YLMaA6bJvnCdSvx0/cX++37aOc6PFPwI0A1XpqTBBlf738IvxN2IsNnYZXjoyJueKIBP9rZNudLQya/UZ3zzwZst0cJjsGaKJ7EWY11sNB/bFSM/kDC1HJkFy599Gdo6z7ot/8unQp/6/4plrgHJnbmX4U7Tv8Az3RPlHos1Gnx7OeuYaieI+65sShg5npT54Vozv8NhOQsZd8t4gt4xPYYLkjPUPZ5ZAnfefO/uPnJ3+HIsCVqY54Oh8eNQact1sOYJs5YU2JjsCaKJwlQCnJsDs5YW512fPrFh7Hx2QdhcYwp+1PVSfh1xml8+/gvocXEmxrX0tuxvqsWpr6Jp9BFuhQ8+7lrcMGCDNDc8YXrVuIPFZf47ftGZz5+mvp7qDOXK/sMY+9gW88vUJHt//f3cu8RXP7Yz/HAOx1z7tOhuKuvBgJmqIOXtxHFLwbrCCktLUVxcTEaGhpiPRRKYInQbu/Y6NwK1o8d3YvV//wJ7n+nw29/SVYu/iM9i9tObvPbb73w67hq56dxxDrxezfkpuH5z1+DVfkM1XNR1VXL8acNl/p0CwF+95YWX7T/Aur8tcq+DMmG+478GA36Eeh8VjC0uuz41IsP472tf8TRkbkze31yLB4Xt+GMNUVXQ0MDiouLUVpaGpXHY7COkPb2duzbtw81NTWxHgolsqDBOlh5yNw14BjD6BxouXdqzIoNzz6ADz/zV7+AohIEfG1xAf7eXY9l4pvKfiEpFV0X/w5XP3cNRJtb2X/ZIh1eqrkWRXnpUR0/Tc+nrliG5k+sg9anh/W/Dsu4o+deqIo+4nfsu4/+GU8KL+Ka3IV++586eQBr/vlT/Gbfi3Oi9vrgUN/ZD5prOENNUVZTU4N9+/ahvb09Ko/HYE0UT4KEaNkdP+3rvMwxrFl1Sx78fv8ruPif9fjHkd1+txkysvFo/ig+u++bSHJPdANRZyzFv5Y+gFueKoDdPREMbi7KxXOfvwaFuhTQ3PehNQvRWn0V9D59xTtPOXHNmx/F8KU/AlRJyv6Cvtfw1xP34TvLlyBZNbG4z6jbia+8/hiu+89v8HpfbDuHvC2ejunjz4Tk9q8JF4SkEEcSxScGa6I4EqwURPbEX7Bu7z8ek8d9pvsQ1j3+S3zh1Ucw5LO0ulpQ4Z7zVuNJ+2MoPvRHv/skL3s3vp/chC+/6P90eceahfjP3VdCl8LFX+LJdStz8VLNtViqn3gzdMrqxJVPFWPP6v+DKm2Bsl/lHMIndtdixwIrrslf5neeN/qP45p//waffOEhdMeoJOON/mMB++ZaHfhkAc9XnMGmBMNgHYfMZjOKiorOfiAlniAvQpNngOaSUC/xr0V5pu/QUB/u2PFXlD/ViD2Dp/xuK8ldjB3nLUDNzi9CPbBz4gZBBXXJt3HHsa/hz7vH/O5Te/N5ePjja5Gi4TLl8ai4MBMvf+E6XLpIp+xzuCV88AkN7l/wILQLr/E7fuGBP+Fv/Vvxi9VXICPJf8GfB7s6ceE/6rBl1w6Muf0XnJlNbskTszeo52LyJ2wyGKwpsTBYx6Hq6mqYzWaIohjroUScKIqorq6G0Wic8f3r6+thNBphNBpRXV2NyspKmEymsO5fX1+Ptra2GT12dASZsY7DUpAXerqi8jhHhi24+6XtuPifP8Gjx/b63abTpKDukhvwiPMpLOn4X8ieibpvdVoBeq7chiufvRJvnJjoE5ysVuGvH7kM9733Iqh9r4SjuLNEn4oXa67FHWv866jvfWkE1dYfQVtiBDDxd+wRD+D9r34KrxhS8ZGVl/rdZ9TtxLdMT+L8li347b6X4PC4MdtMAycx5nbN+uNEmjx5IoAz1pRgWNwUZ9ra2pTgZ7FYoNfrYzugCDEajTCbzSgtLUVbWxvKysqmfQ5RFLFlyxZs3rzZ7/fS0tKCtWvXorW1dcrziqIIo9GI5ubmmfwI0SElRo31IWs/3hrswcXZhbNy/hOjIu7b/Qz+ePB1uCb9zgQI+MyqK2DMHIH65bvhdoh+t6eueA/+pv0GjP8YgCRPhO0FGcl45JOluGZFzqyMmaIvQ5uEbR9fix+0HcT3np7oXf6fAxZcc/pG/OPdVyB/5xfhGe0ev0FyIa39+6hfUIK7r/kRag/shmngpHK/Htswvvz6o/jp3ufwv5eW4a7z1kGrnp2X2cnXB8SLgOerIM9pRPGMM9ZxprGxUQmHZrM5xqOJnLq6OjQ3N6O2tnbGbxa2b9+OpqYmWCz+F8ZVVFRAr9efdRa8qalpRo8bTUFrrOdwKchUGt5+OeLn3DlwEp944e8oav4xfr//lYBQfVNhEV59VyW+13s/hGeqIfmEaiEpDdrrfoVP927G13cMQPKpY7lskQ6vf+l6huoEpFIJ+O4tF6DlrnVI8yntOSbacHWzgEdXtiDV8H6/+zh7TVjx9O34b4EDW6++A4Wp/gsCHR8V8blXWmBo/hHu270Dgw7/UqJz5fS48WBXZ0TPGS2Tn69YCkKJhsE6jtTX12Pz5s0wGAwAkJClIOfiXH4vM50lj7qgFy/GZ7D+6zvtOBGBVRidHjceObIHt/y3EWsf/wX+1mWCe9Lv6ar85XjqlrvxjwV25P/rFtiOPu13u7bwCpy8/mlc/d/z8N+D/X633X3lMrz8xeuwPCftnMdKc9eH1yzEq1+6DhfkT7RNdEsyvvLfU9jU+3Wk3LQVKq1+4g4eJ6yvfgfv7vgC9ly7HvXr3odcrf+/kR7bML7Z+SSWb/8hvvjqI9hl6Y7IWH/79kvxuTgMWApCiY/BOk6Iooiuri6UlJQoM7qJNGMdCWVlZRgcHERJSUnAbaIoYt26dSHvazKZgt5v7onvGetNq65Svnd43Pj0i9sCZpXDIcsy9g6eQm37v7Bs+w9Q+ez92HHqUMBxl+csxuNln8aOtVfiohc+hcEXjZDdPrOH6mRkXnUvfpX+O9zwf6dxXJz4mDpNo8b9d16GpspLkcqLFOeFNQt1eOPLN+CjJYv99v9nfx9KH1+Ed65pQ+rK2/xuc/bvwdA/3oW7Tm/Dwfd/Dt+//D3QJ6f6HTPqduJ3+19ByWM/xxWP/xK/3/+K3wqf03FgqBff39mqbOdq03DrkguVbXmOL7gSUArCYE0JhsE6ThiNRtTV1QGA0hFkYGAglkOKG/X19QAQshSkqakJtbW10RzSjMlBa6xjv9hKKJNbf31g2cUozVuqbO84dQgVz9yPPvvIWc/l8Ljx0unDMLb/Gxf+ow6XPvoz/Gzv8+izjwYcW75oFf57SxVeW38nrnj7Fzi17To4T/t/dJ6y+HqMlD+P9S9fg588f9RvAcsLF2Tg9S9fj4+vXQqaXzJTkvDAnZdja+WlSPFZTKbbakf5g0fxA/f3kXlzk//sNYDhvX/C0N/X4kuakzhcuRk/v+IDWJbufwwAdA6cwBdefQSFD92L8v/+Ab/d9xIODfWF1SbvhZ4urH/yDxj2WWDpeyXvQdakID+XBWu3N9dbBBJNBy9ejAMmkwlFRUXKTHVOznidJ2esz04URTQ2NqK5uVkpFfFlNpuV32dcCPICFE8z1mqVCvffcCfWPf4LpaPBv4/vw8rtP0LFiktwXaEBi9N00KqSMOJ24uSoiANDfdg92I3X+47BPkW3hVS1BhtWXoqvXHwD1mTlw7qrASce+yFkp9XvOFVyFvTX/RhbB27Ct/5yEE6P/4zZZ65chl984GJkaPn0OF8JgoDPXLkMVyzTY+ODndjfO/HG7/evHkXboWV44MMvwXB4C0be/ptym2TrR3/rJiTv+h2qbvgJaio24x9H9uA3+17Eq5NaTHpkCc+cegfPnHoHALAgJQPXLFiBNTkLYcjMxYKUDKSokzDotOEdaz/+c3wfXjx92O8c1xesxKZVV+LlSfvnsuDtQWX4dmAhimd85YgDW7Zs8etUwRrrqYmiiKamJnR1dcFisaC1tTVoqAbGO4bEy2z1uPjqYx3MBVkL8Mi7PoUP7vizEpRtHhce7Oqc0QVZ6/KW4FPnX4E7DZdDp0nBWNdjOPmvb8M1eCDg2PQLNqL3gm9h47968cbx/X63LchIRlPlpfjAxbPTqYTiz5qFOnR85XpsfmI/fvPSRHg91D+Ka7YewBev+yq+84GPYezFr/j9e3P2vomeljKkFd2OD1+/BRvf90W8LZ7Gnw++gQe7OoJ+ytJrH8Gjx/YGtIUMZW3uEjyy/lNIUsVXmVLQiQBZAgR+gE6JgcF6jmtqakJ1dbXfPm9IjMaMdXV19Yz7OldXV8cktOr1euVx29raUF1djerqalRUVPgd19LSErBvzgt28aIr8EV6ritfvAov3vYFfPLFh/DWDJZlLs1big8uX40PLluDC/XjK+XZTryAUy99E46e1wOOT867BBnX/wx1by3AT/9wCG7Jf+b/9osL0FhxKRZkagPuS/NbWnISfvXB1Xh/cQE+vW0nTgyNlzLIMvDrFw/j0T2p+N2HnsA1o3+D+MZ9fjX8Y12PYezwE9Bd8lmsusKIn1zxfvxo7a14rqcLjx7di8ePvYVTNmuohw7pU+dfgV9c+QFkalLOfvAcEzJYEyUIBus5TBRFdHZ2oqqqym//VBcvNjU1oa6uDmVlZcpxTU1NWLdunXJxnslkQkdHBwYHB886hsbGxnP7IWKsrKwM69atQ3Z2NhobG5XfpSiKsFgsIWey56pgNdaesekH07mgJG8JTLffg8eP7cMfD76Gl08fwUiQevGMJC0uyMrHFfnLcF3BStxQaMCitCzldkfvTgy+/G3Yjj4VcF9VSg6yr/k+OlJux2cfegvv9L/jd3umNgm/uP1ifKp0KQSBH0VTaGWr8rH7azfhy4/uxYOdJ5T9x0Qb3veXndh4WTl+XrERSbt/jJF9D0BZd1RywbrzNxje+yfoLv8Cstbeg1sWX4BbFl+A3179IeyynMIrpw/j5d4jaO8/jiMjFkhBSr6WZ2TjPYsvRM1F185a//do8Iz1BuyTZQ8LQShhMFjPYUajER0dHSgvLw/7Pq2trejs7PQL3/X19airq/PrelFZWRnp4c5Zer0eFRUVqK6uxoYNG6DX6+PqgkU/QWZ23CMngxwYH5JUanx4xRp8eMUauCUPuses6LOPwim5kanRIlebjsLUzKCh19H7JsQ37sPYO/8MPLE6GbpLPofhVV/B3a2n0LL7jYBDbr+4AL/50Bos0cfPhV8UW/pUDe6/83J85LJF+Nw/9uCYODH7um1nN554uxffLv8GPrvxcxh+2Qj7ieeV22X3GIba62Hd9QdklXwZWZd/CSptFi7PXYzLcxejpvg6AOPtI4+NirA67bB5XNAnp6IgNRN5KekB44k3knMEsivIhcqcsaYEwmA9R3kvWAw1Y1xUVASz2Qyz2exXGlJdXe23wIq3jGNyK7nphPVEUFpaipaWFrS1tcFgMMRJa71gAl+APHEcrH0lqdRYlpGNZRnZUx5nP/UGxDd+DNvhJwJvFFTIuOhjSF33Tfy8w4W6X++EzeX/OyvM1OI3H1qND69ZyFlqmpFbLyrA3q/n4tv/Ha+99lYWDTvcqP33Pvzp9XT88vb/w3WXv47Bl78Nl+Vt5b6y0wrxtR/A+uZvobusBrrLPg91ap5ye7I6Cefp8iY/ZNjmcn8Nz1hP8BsYrCmBMFjPUZMvWJzMYDDAbDb7XcBoMpkCaoZDLeMdV50wwpSdnY2ysrKgv7fJ5TPbtm0LeNPi/V1u2bIF27ZtQ05OzpwrhQm28qJ7JDKLTsyGSL3Iy7IM+4kXILbfB/uxHUGPSTO8D1lX/wCPn8yG8ff7cHTQv5ZTEIBNVy7Hfe+9CPpUTYRGRvNVhjYJv7h9Nf7n8iWobtmFnd0TtdIH+kZx6x/fwPuLC1F32/NYIj6Jwdd+ALc4UYokOQYhvv5DDHX+HJmrPw1dyZeh0S2PxY8SNZ5RBmtKfAzWc1BTUxM2btw45TG+s9Te2ddgF+K1tbVh8+bNAfvDvWgvXi5eFEVxyi4pXV1dAMZ/bxUVFUF/flEUkZ2djc2bN8/dixqD1FhLtj7IbgeEpLl/4d1054dljxMjB7bB+uZv4OzbGfSY1JW3QX/FZrwyUoRv/G0fOk4EXntw9fJs/PpDq7F2iX7aYyaaSukyPdq/cgP++PpRfOvJ/RgYcym3/WvfaTyxvxefvqIY37n9DeR1/wPiaz+Ee3ii9Z7sHoN1529h3f0HZFywEbqSr0Cbf+m0xiDESYVyqGAty9NfJIpormKwnmNEUURzczNaW1unPM47A2uxWEIe453RPpeluufajC0w/jvq6Ojw+7n0ej2qqqpCjretrU2ptY5vwWd23KOnoMlaEd2hzCKPrR/W3U0Y3vWHkB8fp533Qeiv2Iz9bgM+9e+38dSBVwOOKczUou59F+FjJUtY9kGzRq0SUH31ClReugjf+e8B/OHVI0p5iEeSsfW1Y/i/zhP4yg1X4Osbd0J1+GEMdf7MbwYbkhsjb/8NI2//DdrF10F36eeQXvRBCOrE+XTFzRlrmgfYOHIOEUUR69evn1b9b2dn6L6/oeqr5zpvx45QKisrUV5ejqamJr/9RqMR1dXVATPXTU1NMJlM2LEjeAmBl7dMZKrHjrkQL0CJUGctyzLsJ19G31OfwvE/GiC+em9gqBZUSF+1AYs/ZkL/uj/hU09LKPnFC3jqQJ/fYSlJKtTefB4OGN+Fj69lxw+Kjpy0ZPz2w2tg+n83oux8/zppm0vClh3v4Lz6F/Hb3hug22DCgtv+juQFlwecx3HyJfQ98VEc//P5GHz9R6EDaZwJ+TzFYE0JhDPWc8TatWthMpkAQPnTu4S5r6amJjQ2NirHbN++XbloMdz66rmovr4e7e3tygWZZrMZ5eXl0Ov12Lhxo9/PVl5ejo6ODqxbt87vHAaDAY2NjcrS5d6AnpOTg8HBQb+LOn2ZTCZs2bJFCdZGoxGtra0oLy8PaHUYa8Ha7QGAe+RE0P3xwGMbwMjbf8Pw3j/CZdkf9BghWTdeh3rp57F/LAdffOIgWvY8F7AQpUoAPlm6DPfesordPihmLlmkw9PVV6P1YB++8Z99ePPkRP21ZcyFbz25Hz9/vgtfueESfPFDLyK570WI7T+B/fgzfufxjHZDfPV7EF//EdJWvheZF38SqSveDUEVny/dzv49QfezFIQSiSDLQRpmUtisViuysrKwatUqqNVq1NTUoKamJtbDAgClXjgu28pRUOIbdRh85dsB+7NKjci59gcxGNHUOvtP4Ip//VLZfvKWTbhl8QWQJTdsR9swsv9vGHvnUciewP7VAJCUZYDusi8g8+K7sKdfwg9bD+Efe04FPfYDFxfgR7dehIsLM2fjRyGaEUmSsW1XN7715H4ctowF3K5P1eAr1xvwpetXIm3sIKw7f4+Rt//Pb6EZX+q0QmRc9FFkXHwXknMuBAB8/Pm/4+/m8cmWi7IWYO+H595zvizLONa0BJKtL+C2pXcfRlLG4hiMiuaDhoYGNDQ0wOPx4ODBgxgaGoJOp5u1x4vPt71zUHt7+6z+RU1XJOqraS4K/pGp49RrUR5HeORJfUGclv0YOPh7jBxsDvoCO05A6or3IHPNZ5C64jbs6BrEz/76Fp4+GPz4svPz8N1bLsC1KxOv0w3FP5VKwJ2XL8Ydaxbij68fw33PHFJWbwQA0ebCvU8fwE+ffwd3X7kcX76uHkuv/SFG9j0A6+4/+NdhY7xl3VDnzzDU+TNoC69E+gUbILvn/qcznuHjof/PsxSEZpF3wtM7ETrbGKwTVLzWV9PUgrXbAwB798vw2C1Qp8ytcDn5A7HB5++B1X086LHqjMXIvPhTyLz4k5DSlmDbrpP42S9fxu5TwZd8fvcF+fh2+Spcs2Ju/cxEwSQnqfD5a1fgM1cuxV/eOI77nnnHb4GZEYcHv3zBjN+8dBiVlyzEV2/6BEru+sL4Jzv77sdo12OAx+l3TkfP63D0vI6x1FuA5PHZ67laVjF2JHBlVK9Qz2tE8YjBOsHU19djYGBAubDPaDQiNzeX5SCJIkSNNSQ3xt55FJmrPx3d8QQhS27YT76Esa7HcLrrBUB1c+iDVRqkrXg3Mld/Bqkr3o2+UQ9+8sYx/O6VHTjpM6vn69YLF+Db5atw1fKpF5Ihmou0SWp89poV+PQVy3B/x3Fs2XEIR3x6rnskGQ/v7MbDO7txU1EuvnDdGnzg3Q8i1yVidP/DGN53P5y9b4Y8v2vwEE61lCPN8F6krXwvNNnnR+PHOqvRQy2hb5yjbwaIZoLBOsF4A3SwCx8pEfjM7AgqqLTZkOwDAADrrj8g4+JPQhCi3+zHPdoD27E22I62wXbkv5Ds451VJPUCICPweO3i65BxwZ1IP//DUKXk4JUjg/j9Q7vRvLsbLk/gZR9JKgEfuWwR7rmxCJctnv2P8ohmW3KSCpuuWo5Pli5Fy+5T+Olz7/hd5AgAz3UN4LmuASzOSsGmK5dj01WfxuLLPg9H3y6M7Ps/jB5qCdppw37iedhPPA/LC7XQZK9CmuF9SF15G1IWXh2T9n2O3p2wH39W2VYlZ0FyDk0cwBlrSiAM1kRxxPcjU0GtRcaFd8K687cAAGffTgzv+gN0l31+1schucbgOPUqbEdbYTvaBmf/7rDul1H8SSxZ9wlodMsxbHfjj2+ewO9f2Ruy3CNTm4Sqq5bjS9evxFJ2+aAEpFGrcOfli/GRyxbhua4B/PS5Ljy5v9fvmJNDdtz79AH8sO0gPrS6EJ+9ZgVuuqEeOTfUwdH9CjQvPwKMBj+/a/Aghjp/jqHOn0PQZCBl8fVIXXoTUpbejOT8S2b9jbjscWHg2S/77cu89LMYaveZ/GGwpgTCYE0UT3xfgAQ1stbeg+G9f1Y6CAw8/1Wo0vKRsaoyog/rHu2Bo/sV2LtfhaP7FTj63gQk91nuJUCTfxngs7J4+qoNeLk3Hfc/8SZadp/CqDP4R8Arc9LwuWtWYNOVy5DF5cdpHhAEATefl4ebz8vD3lNW/OJFMx4ynYTdPfF/3i3JaN59Cs27T6EoNw2fWLcUd60rgbbwGNA13hVEpdVDLSyFZzjwWgbZNQLbkSdhO/Lk+LEpuUhZfC20hVdAW3gltAVroUoO8hHTDMluB/qe+hQcpyYWb0pdeRu0BWv9j2OwpgTCdnvnyHuV6Wy3byECAMuLmzHU+TMA472dV3y+H0M7G2B57v/5HZd+4Z3Qr/sakvPWTOv8sscJt/UInP174ezbBUffLjj7doW9AI2gyUDq0huRZng/0gzvg2nUjqv+/Wvl9oKBUvT0pAW/rwC898ICfPaa5Xj3BQugVnFRF5rfBsecuL/jBH7/yhEc6g8+JS0IQMEFh3FafQwAcGHWAuz90Nfh7N+NMfN/YDv8BBw97QDCeKkXVEjOvRjJBWuRnFsMTU4xknOLoc5YPK1FlmSPE2OH/4PBV+6Fy/L2xOmTM7HkY2/C0bcTvf+aWJtg8cffRHLuxWGfn2gmopXXOGNNFFcmXhy9H+HqLv08XP1vYXjvH5XbRvc/hNH9DyFJtxLawnVIyjJAnZoPlTYLgAxZckNyiJBsA/DY+uEePga3aIZ75Pg0P5YVkFywFmnLy5G6vBzawiuVGs7+UQf+ufeI39E9ww4A/sE6Lz0Zn7lyGaquXI6VucFDN9F8lJ2WjK/cYMCXrluJZ97px+9fOYLH3upRlksHAFke/38l6Me3T1ntaD3Yh3edtwbZ+Zci+8r/hXu0B/ZjO2A7/ixsx58NOps9fjIJzv49AQu5CMk6aHTLoc5ciqSMJVCnF0ClyYCgSYeQlALZ7YDsHoV7+CRcA/tg7345oA+3oNai4L3bkKRbFlg6xhlrSiAM1kRxxO8j0zPBWhAE5K7/LYTkDFhNv/Q73m09DLf1cOQGoEqCdkEJtIuuQcqiq5Gy+AaoU3OVm0WbC4/uPY5tO0+i7VA/PMlDEIqCnEYA3n3BAnyydCk+cHEBtEnqyI2RKMGoVALKVuWjbFU+Tg7Z8EDHCdzfcRwH+wJnsUW7G+/Z+jry0pPx4TUL8ZHLFuF6Q8H4ojIXfRSyLMM91AXbsWdhP/E8HD1vwG09MuXjy07reNgOsXLiWceftgAL3vMAUpe9a3zHpLpuloJQImGwJoonk2qslW8FFXJvqEd60e2wvPJtOE6+dO6PJaigyV6F5PxLkZx/6XgdZsE6qDT+s8qDY0785+1eNO/qxlMH+uD0hH6RXKpPRc1NF+FjJUuwKCvl3MdINM8szkrF5vXn4xvvOg+vHR3EX9qP4/5TBzD5iof+USeaXjuKpteOojBTi4pLF6FizUJcsyIbGv150OjPg+6STQAAz+hp2HvegKPnDTh62uEc2AtprDfwwadJSEpFRvEnkH31vX5vwH2fuwBwxpoSCoM1UTzx6fca7Gr+lMXXYlHlM3Ba3sbYO4/Dcbodzt5d8Iz1BF02XEjOhDolD+r0Qmj0BiRlGaDJMkCTvQqa3IsDQrTXEcsYHnurB4/v7cELhy3wSOFdqvHHDZegfPF5Yf6wRBSKIAi4ekUOrl6Rg7Hn9uKhwz3j+xFYTd0z7MBvXzqM3750GLlpGrz3ogJ8YHUhblmVjwxtEtTpBUgvej/Si96v3Mcz1gen5W24BvbBNXgA7uETcI+cgGf4BDy2/qC9pwVNBpKyVkBbsA6pS29G6op3B1+0avJzF4M1JRAGa6I4EqwUJJjknIuQfMVFPveTIbtGILlGIEAFqNRQaTIhJGnDelxJkmE6OTQept/qwZ5Tw1Mer0/V4ENrCnF5kQpf3j2xmMV0LoAiovCoVRPPBeflpeFrl12CbTu78VxXPya/5x0Yc+GBzhN4oPMEtEkqrD8vDx9YXYj3XVTg9ymSOi0fqWn5SF1yQ8DjybIMeJyQXCOQPXYI6hQImrTxP8P4Px4wKcBgTQmEwZoonoQZrCcTBAFCciZUyZlh38d7EdTTB/rQerAPfaPOKY/P1Cbhg6sLseHSRShflY/kJBXa+44B4bW4JqIIUKsEbLpqOTZdtRynhx1o2d2N7Tu78dIRCyb3AHO4JTyxvxdPnOmbvWZhJm5ZtQDvviAf163MQYom+LUPgiAASVqow3xjHngC1lhT4mKwJoonIWqsI8Hu8uClwxY8fSZMh1q0xdfirBS8v7gAt68uxE1FuQEXIbKXJ1HsFGRqUXPtStRcuxI9Vjv+/fZpPL73NNoO9fn1x/bac2oYe04N42fPdyFVo8KNhlzccsEC3LIqHxcVZETuEyfWWFMCY7AmiiPyWWqsp8Pu8uC1o4N43jyAF7oG8OrRwaAvtpNdslCHD1w8HqZLFmdN68VWAEtBiCItnP9VhboU3H3lctx95XKMOtxoPdSHx/eexr/fPo3+IJ9G2VwS/nugD/890AcAWKjT4kZDLm4w5OLGolxcuGDmQTuwFCT4QlFE8YjBmiiezLAUBABGHW686hOkXz8mTtnBwytTm4T15+fhllX5eM+FC7Aih72mieJZujYJH1y9EB9cvRAeScZrRwfx1IFePH2gD+0nxICSEQA4ZXXg4Z3deHhnNwBgQUYybvAJ2hcXZEIV7qJOLAWhBMZgTRRPwgzWsizjsGUMrx0dxGvHRLx+dBBvnhyCO4zuHYIArFuixy0X5OPdF+TjymXZ0KjPbXaciOYmtUrAtStzcO3KHHz/PRdiYNSJHYf68dTB8aB9csge9H69I0607D6Flt2nAADZqRpctTwbVy7LxlXL9bhyWTayUjUhHpUXL1LiYrAmiic+L0C+H6cO293oOCGOB+kzX2e72NDXRQsycENRLm4qysX68/OQlz7Di5ImcUn8iJcomiRZhizLMy7TyE1PxobLFmHDZYsgyzLePj2C1kN9eKFrAC+YBzAw5gp6v0GbC0/u78WTZy6EFITx55Url2fjqmXZuGp5NooLMqFWCRBUrLGmxMVgTRRHfGusB8Y8MP7NhDdPDuFA30jQj29DWV2YqXyEe4MhFwWZkQnSIy4HXus7ipdPH8ZLpw/jmVPvROS8RBSeQ9Z+LN/+Q1xfaMD1BStxQ6EBF2UVzChoC4KA4sJMFBdm4svXGyBJMt46PYznz4Ts57sGQr6Bl2Vg3+kR7Ds9gr+8Mb6EeppGjcsW6/CevJP4qN+xfANOiYPBOkJGR0ehVgd2aVCr1UhJSfE7LhSVSoXU1NQZHTs2NjbeWzQIQRCQlpY2o2NtNhskKfRsQnp6+oyOtdvt8HhCP5lO59i0tDTlRcPhcMDtnrwG2cyOTU1NhepMf1in0wmXK/hMzXSPTUlJUf6tTHWsLMsYcABv9Y7izZND6Dw6gPWnj+Mm9fjf3ZFRO/6+v2viDmqNMhMke9yANP6zadUqlCzWoXSZHlcty8E1K7OxOEeHpKTx//5ut3vKf2vJycnQaDTKsQ7HxEIz3aNDeKP/GF7rPYpX+45g11AvJPX471eWJMDl//eW7hGUx9JoNEhOTgYAeDwe2O3BP3KefKwkSbDZbBE5NikpCVrt+JsKWZYxNjYWkWOn8/+ezxHBj+VzxNmfI7zH5qdkAABktwfwSDjh6MdDg/146O03AAB5yWm4asEKXLXIgKsKV2Bd3lKkCmo4naE/1dJqtX7PEd7/9wadGobLF+BTly+ALMs40DuC104Mo6N7BK8eHcSB01bAE3y8oy7g5S4Hhk724KMFgEeS4XABn3uoHcLiTFy2SIdLFmaiuECHzJQkPkfM4Fg+R4Q+dqrfRUTJdE6GhoZkjHcVC/p12223+R2flpYW8tgbb7zR79i8vLyQx65bt87v2OXLl4c8tri42O/Y4uLikMcuX77c79h169aFPDYvL8/v2BtvvDHksWlpaX7H3nbbbVP+3nxVVFRMeezIyIhy7F133TXlsb29vcqxn//856c89vDhw8qxX/va16Y8du/evcqx3/3ud6c89o033lCOra+vn/JYbPiRLHz1cVn46uMy3lU99bEf+rYsfPVxuejHbfJVVVOPYfv27coYtm/fPuWxf/nLX2RZluU+24j8vb/+fspjhY++S1b9+auy6s9flYXaDVMeW19fr4zhjTfemPLY7373u8qxe/funfLYr33ta8qxhw8fnvLYz3/+88qxvb29Ux571113KceOjIxMeWxFRYXfv+GpjuVzxPgXnyMmvqbzHPHss8/KB8Re+cKW+2Tho++a8ljhyx+SVX/+qqz+89fkxV+Y+v/nTJ4jZFmW/97yzymPxbuq5eJv/Eo2/0Ij/71GPeWxF1V8Qa7911vyAx3H5Af//cyUx/I5YvyLzxETX758nyOGhobk2cQZa6Ioe+PoINqdR7C/bwRPvno0Yuf9dtkqfOHjt2BBphZ//etxvNYUmfP+7u2X8YPmkzgyMgh5lzns+y3PyMaRyAyBiKawKisfez70NXzzHRfq8cxZj5cho3tsaMpj9ou9GHbZkalJmfK4yXQpoS5YHGfITUNyUnjR4+3eEex/bvxTObnn0LTGQRQrgixPpzKTJrNarcjKykJ3dzd0Ol3A7fwIJ/ixifwxb484grdPiTjUN4pDAyPo6h/Dob5RdA2MwuaWJpVsuICpLvDzOXalPhlb0upxsesFAICQewmW3/mCcqjvR7culyusj3lHXQ7s7D+BnaeP463BHuwTe7B3sAcWp89Ho2oVhCTveCXAHThejUqFkpzFuHbxebhh8fm4ZsEKZGtSwv7olh/z8jli8rGJ/BwR6VIQ77G+/+8lWcKBoT68fPowXuk9gva+4zjisEI40+HHWzYSUpIaglqFosxcrM4qwMUZeViTvRDF+gIsS8/2W0Z9qnKxyZKTk+EWD6Lnb5crpSCNSd/Fg72rIdon/ZwqNQT1+HllyROyxAQA8jNTceHCbJyfn47zctKwIlON8/PTYchNC1i4is8RwY9N9OeIwcFBLFq0CENDQ0HzWqQwWJ8jb7Ce7b8omjscbg+ODtpw2DIG88AYDlvGcMQy/udhyxgsIa6aD1d2qgarCzNxcWEmVhfqcHFhBi5ZqEN2WjJO/6sCY12PAwCSC9Zi8Z2vnvV8siyjzz6CA0N9OGDtw8GhXuwf6sV+sRfmYQtkTP8p4LzMPKzLX4rSvKVYm7sEa/OWIC0pedrnIaLo6bOP4I2+Y+Nf/cfR3ncMg87QoTKUFHUSLshagAuyFuCirAW4UL8AF2UV4HxdHlKSpp6xBgCn5W2cfOBSZXvB+7Yjreh2HLaMYc+pYbx1ehhv9Qxjb48V+3tH4PLMPKaoBGBJVipW5qRhZU4aVuSkwZCbpmwXZmrD779NcS1aeY2lIESTDNvdOC7acHzINv6naMdRyxjMZ4Jzt9U+rQ4coWRqk1BckIGLz4Tn1YU6rC7MRGGmNvQV/L7t9ib1gh122XF42IJ3rAM4aO3FgaE+HBzqw/6hXogzePH0Wpqux7q8pViXtwTrzgTpbC0XiSGKN/kpGXjv0mK8d2kxgPE33e9Y+/F6/zF09B3H7sFu7LKcOuvzhd3jxi5LN3ZZuv32qwQBKzNycKF+Ac7X5aMoMxcrM3NQlJmHFRnZSFZ7I0dgH2tBEGDITYchNx23ry5UbnJ5JLzTP4q9PeNh2xu4uwbGwurLL8nAMdGGY6INz5sHAm7XJqmwIjsVhtx0rMhJw/LsVCzVp2KpPgVLslKxOCuFffxpWjhj7aOpaaIotaurC5s3b4Zer5/yPpyxjh+yLMNqd+PUsB0nRDuOizacGDrz55kAfXzIBqs99Ee/06VRCyjKTceq/HScn5eBCxakY1VeBlblp6NgqgAdhEvyoPPRjTjU/SZOCDqc0l2E3iW34siIBebhAQw4Qn/sGI60JA3WZC/E6uyFuCR7IVZnF2JN9kLkpqSf/c5ElBBkWcax0UHsspzCbks3dlq6sdvSja7hwFA6HSpBwNJ0PYoyc7E8OQm5B/6EZZ4hLJOGsGb9T7C8+M7pPR96JBy2jOFg3ygO9o3gQN8IDvWN4mDfKLqtocvKpksQgMJMLZZmjQfuxfoU5ful+hQs0qWgUKcNKDehuSdaeY3B+oyWlhZs27YNzc3NAABRFLF+/Xp0dnZOeT8G69jzSDJ6RxzoGXbglNWOU1YHeobH/zw97MCp4Yl9NlfkFyJISVIpHyuuzB3/mPGC/Aysys/AiuxUJIUx2+GRJJy2D+PE6BBOjA7h+OggTlh7cXz4NI6PDOKEbRTdThciMfoUdRJW6fKxKisfq7MLlSC9MjMHqmkuk05E88Owy449lh68PXQa+8Uz5WRDvTg8w3KyyVIEYLFWiyVpmViWkYfl+oVYmpmHZel6LD3zlaEJr9/+sN2NQ/0jZ0L3KI5YxmC2jOKwZQwnhiLzieNkOWkaFGZqsVCXgoWZWhRkpmChbnx7fL8WhZkpyEpJmvHiPXRuGKyjbO3atdi6dStKSkqUfeXl5TAajSgrKwt5PwbryHO4PegfdaJ/1Im+ESf6lO8d6Bt1YkDZ71COC+MTwRlTCcBSfWrQ+jxDTtqUM88eSUK/YxQ9tuHxrzErTg2fRs9wH7pHB3FizIqTdht6XB5Ebp583OK0LFyQlX+mFjIfq7IW4AJdPpZl6BmgiSgibG4XDln78LbYi/1Dp7F/qA8HhnrRZR3AiDv0RYwzoVcJKEzWYGFKGgrTdFiYnoOFukIsysjFwjQdFqbqsDAtc8pOJg63B8fOXCMz/mXD4YFRZTvUypKRkpKkQn5GMvLTtWf+TEZehhb56ckB+/MztAziEcRgHUWiKCI7OxuDg4N+pR/V1dUAgMbGxpD3ZbAOze7yYNDmwuCYa/xPmwvimT/H9zkh2lwYGHWhb9ShBOhIlmKcjSAACzNTlHq6JfqUMx/xpWJJ1vj3hZlaZdZZlmUMOe0YcIyi3zGKfvso+kct6Bvpw+lRC3rGhnDaNoLTDhtOu1wY8MiQMDtPiskAVmblY0VGDgyZuViZkYOVZ2oaz9flhT27Q0QUad6LpruGB9A1PACzdQDm4fGvruEB9NiGZ+2x0wQZBUlqFGi1KNCmITclAwvSspCfnosFGfnIT9MjPyUd+SkZyEtJh1Y9cbnZqMONk1a7cn3NeMmgTSkfPC7aMBTF1yiNWkBeejLy0pORk5qM7DTN+FeqBjlpyWf+HN/OTk0e/z5Ng6wUDdS8KNMPL14MgyiKMBqN0Ov1qKurC3lcW1sbWltbUVRUBFEUAQC1tbXK7WbzeG/eyfXUer0eJpMp4uOOB063hGGHG1a7e/xPh2vie/uZL4d7PCyPOZXgPDjmgmgf/9PujnzZRbgEAchLSx7/WE6nRWGmFoVnPqIrzExBoS4ZOekqpKbIGPU4IDrGMDg2gP7R4+gfG0S7ZRhPdg9jwDGGAYcdFrcLA24PREmAe1pBeeZPbKmyCwulYSyURlAgj2CxPILlGgErUtJw/sI1uOCqWmjS8mZ8fiKi2SIIAhakZmJBaiauXrAi4PaB469gT2cDjlh7ccJux0mPGj2qDHSrMnFKlYkeIQOeGX6yNiYLOOyScNhlA0ZsAKauD88QJOSqBeQmqZGXrEVOciqyU9KRrc1Atl6HqxdmIyc9B/rUPORo06CRkzFqF9BndaFn2DlehjhsR49PGeKpYTtGHOe+VLvLI4+fzzq92X9BALJSJkL3+J/JyExJgk6bBF1KErJSNND5bOtSND7fJyEjOYkdU2YgLoO10WiE2WxGaWkp2trapizVmFw7DYwH7fLycrS2tgIALBZLyPtPddtc4fJIGHV6MOp0n/lz4vuxSdujTo8SkMdDsmsiLDvcGD7zpyOGoTgU7zv33PQkZGeooE8TkJ4iQ6d1QZfsQKrGAZXKBgkOOCUbrM4xiE4bhlwOvON2odPigbVfhlUCrLIK8rRDb+TKJ3SyHfnSGAqlESyUh1EIBxZr1FicmoEl6Xos0y1Atm45NJmLoc5YgqTMxVCnFUBQxeV/WSIiP7lLr8FNS69RtiXXGDwjJ+EeOQn3yAk4h0+ie6gbx6x9OGYbxkm7Hd1uoFdIQ58qDb1COvpU6bAJZ2/vdzYjsgojbuCoWwLsNgA2AGd/7U+GhCxBhl4NZKnV0GuTUJCRjFXLU5CpSUFqUipU0EKWtXB5tLC5tBh2psDq0GDEBoijEiwjMvpHxz/NjSRZBkTbuZ1XEMa7VwUL3hnaJKQnq5GenIQMrXri+zN/pierfY5RI+PMvrRkdcKXtsTlq7Tv7PS2bdtCHieKIjZt2oTDhw/77S8rK4PRaERTUxOqqqr8jj9bF5BwSJIMh0eCzeWB3XXmT7f3Tw9sLgl215k/3R7/2ycf7/IEhGXv15hrfN+59PicHTIgyIDgAVQeJKscSFbZkaxyQqN2IknlRLLajbRkD1KTJSRrPNAkeaBSewCVBEnlgQsSnJDgkGWMAbDJAsZkAf1QoccbcN0ARs58hWV264pTZRfypDHky6PIl8eQDwfyk9QoSE5GQUo6ClOzUJiZi8LMAqRnFEKdVgB12gKo0wshaDIS/smGiCgUlSYNquzzock+X9mXC2CNzzGy5IFkH4Bn7DQ8Y73wjPZAHO7BqeFedI8Ojl/HYrfhtMuN0x6gT0iDRZUKizD+5RIi27nDCRX6ZKDPjfHXI4f3mzA7NKWPf6XCgwWChHRBRjpkpAoCkqGCGiqoZRVkSQVIanjcKrg8ajhcKthcaow51HBJyXBLGjg9KXBJWtg9KZAkDSCrAUmFc/nUVJahfEKNqRfqnBZv2J4I5UlI06iRqlEhVaNGqkYNbdLE9979KUH2hdqfkjT+fTjNAyItLoN1uLZv3w6DwRA0LG/cuBGNjY2oqqpCTk5O0PuLohjytslWbdkBhzoFdrcU49neiVCrFtxIVjmRJLiQpHJBo3JBrXIr2yrBA7XKDZXggUrlgSC4oVJJgOCBIEgQBOnMuSTIKhmSIENSyZAEwOP9UglwCyo4BRVcUMEhqOCAGrJPSHSd+Qq9/pP/8OERAKjPfMVGquxCtmyDXrYjW7IjW3AhRy0gR61GbnIycpNTkJeSgdw0HfLTcpCXnovM9AVQp+ZClZIDddoChmUioggSVOrxyYi0Bcq+DABLghwryxIk2wA8tj5IdgvcY/0YGutH70g/+scG0WsbRr9jDANOO/pdbgx4ZAxIAixIwZCgxZCQAqugnXE5ynTYoIZNVqMv5ByZBKik8QtrACA11HHjfF91tLIHWniglT3QyDLUPl8qCVDLgEoGBFmY+JJUgCxAlscDvSyrIUlqSN4/pSR4JA3c8vifLkkDt5wMl5QEl5wMp5QMSU4CZAGQA8O9d3IQCL06cKQkqQQlcCe7I9eGccrHjMqjxEhzc3PIYGwwGGAymSCKIgwGA4Dxsg/fEG6xWPy6hEwlV/MKklI14yFVkAAlmEoQhPGwK0Aa/xcMCRAA+cx+GfL4v78z+yQAEAAJwP9v7156Gkn3O47/qnw3NF3NnDMn6ijRtNlkbXpewdjvALrXUTSwiM4uwkI6i5nVCN7AOWYW0VlkMW0UZW86qyhZAE6Ui5KNnUSTLIM97QZ8rScLXwYaTNvmcWNc349k+VLYrvr73+ZH9VNP+Y7kO07/tqPu8NpRt3/d6YfathNSW+4w1PqSpmujhw21NkRMV09MU09MSyumqRWnoyeO0dOQo6chV0/DYT2NROVFE/KiCT2NLetp/Il+kfT0i+SqlpKrcmNP5cY/Uyj+mZwwBwICwGPhOK5CyV8qlPzl8LFlSX94x3OMMTKturqN/5PfOFO3UVO9UdXZeVXVy5rOGnVVG+eqti5VazdUa7dV63RV841qXeknhfROUZ07Ub13etcPremE1FToPjuu1dvjNdgbP56rb+caX2EZhY2vsHyFja9Q/37v2siV6Yd8o5B6+/RcY+Sa3qnQnCvhvze7Yy+0m354N+r9IWD6e+mNcfuX/m2F1O7OPshLCx6sT05O9OrVq1uXDcJ0pVJROp1WOp1WpVIZPj5YNpgZ5GP+/Q8achJX/9x8+L2uj0nEdLVkWkqqraRpa8nxtSxfS6605Dpadh0thcJaDoe0FI7qSTiq5UhMy5G4lqNJrcSWtBxb1rP4ip4mVrQU9xSKP+uF4+gKY5MBAHdyHEdObEVubEV6+kKSlJT0qzGfb4yR6VzIb9bkt+rqtt6rfvmT3jV6l58a56q3zlVvXehdq6F6p6F6u6V6p6N33a7Ou77qvq/3fm/o46VxdKGQGk5YF05El4p8kj3otvmOq5akluWhOGO8c/+6K6ktc2l3+sdRFjptjDNmehCsd3d3VSgUhgdCDmYPuevAyEUXNR1F1VXUdBWVr4S6iju+4jJKOEZxV0o6juKuq4TrKhFylXDDiofCSoYjSoTCSkaiSoRjSoRiWorGlYgklIwklIwmlYz2wvCT+LJikWW50eXe8InQZGckBADgoTmOIyeyJDfy89lqE5I+H/2UjzJ+R6Z9IdO5lN+5ULP1XufN3uV9873OWxe6aF/ovNXQeftS552mLtotnXeauux2dN5p66Lb1YXfVbPrq2G6avpGTSM1jNQ0jppy1DKOmgqpKbe/lzusprPQEXFmAlu1QeAezPqxsbGhs7MzHRwcaHV1VcfHx3r79q31942Ybu+/QuQrItO/bfq3jcKOevcdo7CkiKP+tdO77TiKOM7wOuI6irkhxVxXUTesaCjUux8KK+aGFQtFFAtHFQtFFA9H+7ejikViioViioXjikfjioViikcSikUSikeSikYScsOxXshlby8AAJ+c44blxFak2IpCkiLqDWmZJeN3ZLpN+Z2Gmu0LXbbOddm6ULPTUKPd0GX7snfdaajRaarRbqnVbavVbanVbandbavV7ajld3vXxlfb93v3fV9t46vtm/7jRi1j1DZGbSO1jXr35ahleoNPWsZVW07/4qojp39x1ZE7d3vxSUxXXJ0hZGNjY6Ln/vHv/krGl/x2V922rz/706/16z//taLhmKLhuCKhqEKhqJxQhL2xAABgLjluWI4blhtZUjjxmZY+/pQHY4wv02mp3W2o3Wmq02mp5bfU6bT12+9/q9///i/lRkIKhVzJlSqfYJ3mK+Z/QoOhHuPO+jFKs9kbs/O3f3Oif/n7/9K/Hf+o//in/9Vvdr7T56sv5K08VzK5qkhsWW44Sqjuazab+uabb4b1w8dRs+lQt8lRs+lQt8lRs+lQtx7HceVG4orFPS0v/0qe90f6fHVNzz//E/3mL/b1ryf/o3/+h//WP/7df6r418eSNPOaBTZY2zL4gKLRqFZWVoaXWIxZJO7SbDb17bffBv5LYRLUbDrUbXLUbDrUbXLUbDrU7eNisdi1XBaN9mZpIVjfQyqVGp6u/EODsdVXZwEBAAAAprXQwTqdTg+HfHxoELjHnacaAAAAuMtCH7yYzWavnf78qnK5bGUqPWN6c1fX63W9e/fu3q8XFINaUbPxUbPpULfJUbPpULfJUbPpULfJ1et1ST/ntllxzKzfYcbW19f18uVL5fP5G8tqtZpevHih09PTG0M+1tbWtLe3N/HsHx+qVCpaW1u712sAAABg9srl8kyHAT/6Pda1Wm04XvpDnufp+++/Vy6XU6FQGD5+eHioVCp171AtSV988YV+/PFHPXnyhBk/AAAA5pAxRvV6Xc+fP5/p+zzKPdb7+/s6Pj5WpVJRqVSS1DtDoud5ev369Y3AfHR0pGKxqLW1teGY652dnU+92gAAAFhgjzJYAwAAAPNmoWcFAQAAAD4VgjUAAABgwaM/ePEhHBwcqFwuq1Qq6ezsTJlMZuS0fncJ2tjvWq2mXC4nz/Omqtfm5qZWV1e1vb09nKP85ORE+Xxeu7u7Czsn+X3rJgWr12xs66L2mq0+oJ/op7vwnTU5fj9OZy7zmMFEdnZ2TLlcHt6vVqsmk8kYz/NMtVod+3UKhYLZ2Ni49lixWDSZTMbWqs6NnZ0ds7GxYfb29kwqlTJbW1tTvU4mkzGSrl08zzPFYtHyGs8HW3ULUq/Z2tZF7DVbtaGf6KdR+M6aHL8fpzeveYxgPYFCoWBOT09vPF6tVo2ksT+EarU68oNPp9Mmn8/fd1XnVjqdnvqLY2dnxxSLRbO3t2f29vZMoVCwvHbza9q6BanXbG7rovWardrQTz1B76dx8J01OX4/jm+e8xhDQSZwfHx869zXnudpa2tLBwcHqtVq8jzvztd58+aNUqnUrT/3+vVr5fN5bW1tWVrrxZLJZKycMTMogtRrtrd1kXrNVm3op56g99MsBanHbAtSj81zHuPgxQkcHBwom83eumx9fV2SdHJy8tHXKRQKWl1dvXVZKpVSqVQajvEB7iNIvRakbZ2UrdoEqcZB2tZ5Qt0xjnnOYwTrCbx8+XLkskHhR31AV52cnIw8nebg8UqlMvkKAh8IUq8FaVsnZas2QapxkLZ1nlB3jGOe8xhDQSZQLBZHLiuXy5I01pG34/z3RKVSWdijeO+jUqno6OhoeL9cLmt3d/ej9QyqIPWa7W1dpF6zVRv66bqg9tMsBanHbAtSj81zHiNYW3JwcGBl3NfgAz47O7v3ay2awSnsr9a5VCppfX1dp6enC/nlMUtB6rVJtzVIvWarD+in0YLUT7MUpB6bFD32s4fOYwwFsSCXyymVSk09XyfGUygUbhyskE6nlU6n9fXXXz/QWmER0WuwiX7CrNFjPfOQxwjW91QqlXRwcKBisWjlL8JJxgahJ5vN6vDw8KFX49EJUq/Z2tZF7DVbtaGfJreI/TRLQeoxW4LUY/OSxwIRrLPZrBzHmerysaNBNzc39fbt25GD3x+rWdbMtkHTl0qlT/q+t3lMdZsXj6lm89RrePzoJ8xakHpsXvJYIMZY3zXI/T6y2azy+fzEB1GkUqmRR5kOxvI8dGPMqmbT2t7eHnmq13kadzdvdQtSr9na1sfSa5OwVZvH0E+20E8PI0g9Zgs9Nl95LBB7rGdhe3tbuVxuqsnY0+n0yD1tgw+YI56ve/PmzcjmHzx+1/Q7QRWkXrO1rYvYa7ZqQz/1BL2fZilIPWZL0Hts3vIYwXoK+/v72tzcvPEhfjjVzSjZbHbkP4JyuRyYMydNYmtrS4VC4dZlxWJx5JmTgi5IvWZrWxex12zVhn7qCXo/zVKQesyWIPfYPOYxgvWEDg8PlU6nby12qVS69l8GtVrt1g/21atXOjs7u/XDPDw81Pb2tt2VfkRG1ezLL7+8dYxYrVbT4eFh4Gdkodcm39Yg9Zqt2tBPPUHvJxvoscnRY9fNbR4zGNvp6anJZDImn89fu+zt7Zm9vT2TTqev/XwmkzGSTD6fv/FahULBbGxs3Hgsk8nMdBseWiqVurHdV91Vs62tLXN6enrtsXQ6bba2tqyv57y5T92C1GuTbGvQes1Wbegn+mkcfGdNjt+P45vnPBaIgxdt+eqrr0b+1SPdHOCezWZ1cnJy69imjY0NeZ6nXC6ntbW14RifeTv4zYb9/X0dHx+rUqkML9lsVp7n6fXr19fm3ryrZvl8Xvv7+/rhhx9Uq9V0dnam3d3dG3N3LgpbdQtSr02yrUHrNVu1oZ/op1H4zpocvx+nM895zDHGmKmeCQAAAGCIMdYAAACABQRrAAAAwAKCNQAAAGABwRoAAACwgGANAAAAWECwBgAAACwgWAMAAAAWEKwBAAAACwjWAAAAgAUEawAAAMACgjUAAABgAcEaAAAAsIBgDQAAAFhAsAYAAAAsIFgDAAAAFhCsAQAAAAsI1gAAAIAFBGsAAADAAoI1AATQ9va21tfXtba2JsdxVKvVri2vVCrKZrNaX1/Xs2fPtL6+/jArCgCPCMEaAAJoc3NT29vbqlQqty5PpVLK5XJ6+fLljdANALidY4wxD70SAICHsbm5qcPDQ1WrVXmed+vPOI6jdDqt09PTT7tyAPDIsMcaAAAAsIBgDQAAAFhAsAYAAAAsIFgDAAAAFhCsAQAAAAsI1gAAAIAFBGsAwEjMYQ0A4yNYA0CAra6u3rn86OjoE60JADx+BGsACLDBqcpHnYGxWCyOPHEMAOA6gjUABNirV6/keZ6+++67G8tyuZxyuZwkqVQq6ejoiKEhAHAHTmkOAAFXq9WUy+VUqVSUSqWGe6h3d3fleZ6ePXsmqTdsxPM8Tm0OACMQrAEAAAALGAoCAAAAWECwBgAAACwgWAMAAAAWEKwBAAAACwjWAAAAgAUEawAAAMACgjUAAABgAcEaAAAAsIBgDQAAAFhAsAYAAAAsIFgDAAAAFhCsAQAAAAsI1gAAAIAFBGsAAADAAoI1AAAAYMH/A8VpW3OmJSZbAAAAAElFTkSuQmCC", "text/plain": [ - "
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" ] }, "metadata": {}, @@ -1757,25 +1888,38 @@ } ], "source": [ - "#w/o pbh\n", - "GenerateMagnificationCurve(rhoDressedPBH, 0.1, vmin=0.00001, vmax=6, vstep=0.001, umax=6, nusteps=1000, AT=1.34, plot=True, save=False)" + "plt.plot(umags0, Amags0, linewidth=2.5, label=r'$r_{90} = 0.01$')\n", + "plt.plot(umags, Amags, linewidth=2.5, label=r'$r_{90} = 0.5$')\n", + "plt.plot(umags6, Amags6, linewidth=2.5, label=r'$r_{90} = 0.6$')\n", + "plt.axhline(1.34, ls='--', color='k')\n", + "plt.text(-1.9, 2.0, r'$A_T = 1.34$', fontsize=18)\n", + "\n", + "plt.xlabel('u')\n", + "plt.ylabel('A')\n", + "plt.xlim(-2,2)\n", + "plt.ylim(0.9, 4e3)\n", + "plt.yscale('log')\n", + "plt.title('Axion Star')\n", + "plt.legend(fontsize=18)\n", + "# plt.savefig('figures/mag_curve_axion.pdf')\n", + "plt.show()" ] }, { "cell_type": "code", - "execution_count": 217, + "execution_count": 212, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "u_T = 0.9891213748754543\n" + "u_T = 0.9922123046508637\n" ] }, { "data": { - "image/png": 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", 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", 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" ] @@ -1785,25 +1929,25 @@ } ], "source": [ - "#w pbh\n", + "#w/o pbh\n", "GenerateMagnificationCurve(rhoDressedPBH, 0.1, vmin=0.00001, vmax=6, vstep=0.001, umax=6, nusteps=1000, AT=1.34, plot=True, save=False)" ] }, { "cell_type": "code", - "execution_count": 218, + "execution_count": 217, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "u_T = 0.5393646180148642\n" + "u_T = 0.9891213748754543\n" ] }, { "data": { - "image/png": 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", + "image/png": 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", "text/plain": [ "
" ] @@ -1814,7 +1958,7 @@ ], "source": [ "#w pbh\n", - "GenerateMagnificationCurve(rhoDressedPBH, 10, vmin=0.00001, vmax=6, vstep=0.001, umax=6, nusteps=1000, AT=1.34, plot=True, save=False)" + "GenerateMagnificationCurve(rhoDressedPBH, 0.1, vmin=0.00001, vmax=6, vstep=0.001, umax=6, nusteps=1000, AT=1.34, plot=True, save=False)" ] }, { diff --git a/nbs/00_pbh.ipynb b/nbs/00_pbh.ipynb index 57fee09..c5b7fb0 100644 --- a/nbs/00_pbh.ipynb +++ b/nbs/00_pbh.ipynb @@ -31,7 +31,7 @@ }, { "cell_type": "code", - "execution_count": 126, + "execution_count": 12, "metadata": {}, "outputs": [], "source": [ @@ -43,6 +43,7 @@ "\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", + "import seaborn as sns\n", "from math import erf\n", "from scipy.integrate import nquad, dblquad, tplquad\n", "from scipy.optimize import minimize_scalar, fsolve, brentq\n", @@ -62,9 +63,18 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 13, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The autoreload extension is already loaded. To reload it, use:\n", + " %reload_ext autoreload\n" + ] + } + ], "source": [ "%load_ext autoreload\n", "%autoreload 2" @@ -72,7 +82,7 @@ }, { "cell_type": "code", - "execution_count": 677, + "execution_count": 14, "metadata": {}, "outputs": [], "source": [ @@ -403,7 +413,7 @@ }, { "cell_type": "code", - "execution_count": 678, + "execution_count": 6, "metadata": {}, "outputs": [], "source": [ @@ -499,7 +509,7 @@ }, { "cell_type": "code", - "execution_count": 114, + "execution_count": 8, "metadata": {}, "outputs": [], "source": [ @@ -509,7 +519,7 @@ }, { "cell_type": "code", - "execution_count": 116, + "execution_count": 15, "metadata": {}, "outputs": [], "source": [ @@ -521,24 +531,24 @@ }, { "cell_type": "code", - "execution_count": 122, + "execution_count": 17, + "metadata": {}, + "outputs": [], + "source": [ + "plt.style.use(\"../examples/style.mplstyle\")\n", + "sns.set_palette(\"colorblind\")\n" + ] + }, + { + "cell_type": "code", + "execution_count": 34, "metadata": {}, "outputs": [ { "data": { + "image/png": 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sUjuukZGR0aupLRkZGaSmpp72flar9bT3ycvLc8aRkJBARkYGaWlplJeX9zgeXyJJuBBCCCFcSqPR9LnNwxskJyczf/584uLiSE1NJSUlxaULDZOSkjp9bjAYTjp3Vz3k6enpzp5rq9XqTLYtFovzPn2dRnKqnvXjz38qJz6GhIQEzGZzj/rJfZHMCXeTpKQk4uPjyc3NVTsUIYQQQriQwWBg586dJCcnU1BQQEpKCnFxcaesBqelpXWqUjsSz54uyOzp/QoKCkhMTCQrKwvAZWMSHefp6jH2ZGFpVlYWZWVlXZ5zIOep5+bmEh8ff9ILHTVIJdxNiouLZUShEEII4YPKyspISEhwVpUdG9gsWrTopOkhDsnJyZSWlpKVlUVcXBylpaXk5+e7NK6cnBzy8vKcvddd6Ws7iqNFpruqd0pKymlji4uL69T/7TjXQI4qzMzMJDMz0zmiUE2ShAshhBBC9ILZbMZisThbKEwmE3l5eWRkZHR7TEFBgXOxpbtkZWWdlIA7El3HVJL+bI4zd+7ck/q3HQn96dpJsrOzTxpPWFRUhMFg8MtWFJB2FCGEEEKIXjux4u2Y9nG8E1s3erPF+4nnOfFcXd124jXNZjMmkwmr1eocp9gfWVlZFBQUdLotLy/vpMTearWSkpLSqf0kISGh07FWq5Xs7GyWLFnSr5i8mVTChRBCCCF6KS0tjZycHGdl22q1smDBAsrKysjLy8NqtbJo0SKgfXJKeno6sbGxzl5taK+gp6amkp2dfdJxFouFuXPnsmjRIkpKSjCbzWRlZZGdne1sO3G0wWRlZTlHIzpuT0hIwGg0kp+f77xmT7aWPxWTyeQ8X1JSEmazmZiYmJMq3BaLhZKSkk6tK8nJyRQVFTljMZvNJ02M8Teybb2LecI2qEIIIYTwHFarlbS0tE4zsR3TSxwJdH/aRETveUK+Ju0oQgghhBButGzZMhISEjotSjQYDM7FncdPTRH+Q5JwIYQQQgg3crRidKWgoKBHm+EI3yPtKC7mCW9vCCGEEMKzOHqg4+LinLeVl5eTlJQkSbgKPCFfkyTcxTzhP1UIIYQQQnTPE/I1aUcRQgghhBBigMmIwm6UlZWRlZVFSkoKJpMJs9lMeXm5rF4WQgghhBD9Jkn4KRw/Oig1NVUScCGEz/rsxyMsWb2bQ7XNJIwy8OuLTYw1hqodlhBC+CzpCe+GY5en48cJ9YQn9BgJIURPKYrCrz/YzLNfmTvdHhWsJ/+nM0meMFilyIQQwn08IV+TnnAhhPBjfy7c5kzAMy8Yxxu3J3DOGAPVTW3c+K9i1u+vVjlCIYTwTT7VjmK1WsnKysJgMJCdnd3t/YqKiigsLCQuLg6r1Qp0vZVrUVERJSUlGI1GiouLWbhwoXN7WiGE8HZr91Txl8JtALyUOo30c8cCcPPU4VzzzzUUbT/KT/5bRulDFxOk16kZqhBC+ByfSMKzsrIwm80kJSVRVFREcnJyt/ctKChg6dKl5OfnO28rKioiJSWFwsLCTvd19IJDe1tKYmIi5eXl7nkQQggxgGx2hfn532NX4PaEkc4EHCBQr+V/P0lkylMr2Xy4jme+NPPb2eNVjFYIIXyPz/WEJyYmMnPmzC4XUVqtVmJjY9m5c+dJFe3ExEQyMjJIT0/v9tzR0dEsWbLklEP1PaHHSAghTud/6/Zz+xtlRIcE8OOjlzEoLOik+7xeupc7/7ceQ0gAO387m6iQABUiFUII1/OEfM2vesKXLVuGyWTqsqVk3rx5p51+YjKZTqqWCyGEt7HZFWcbykOXmLpMwAFumzGK+KHhWBtbee7rnQMZohBC+Dy/SsLz8/MxGo1dfs1kMlFWVubsEY+OjnZOSBFCCF+y/McjbD1SR1SwngcuiO32fjqtht8nTwDgpe920WqzD1SIQni1oqIioqOjMZvNp7+zl1q8eDFZWVlqh+HV/CoJLykpwWQydfk1x+2OJ8zMmTNPuq/ZbCYxMdG9QQohhJu9vGYPAD+dOfq0LSY3TxvOsIggDtU28+4PhwYiPCG8ntFoxGQydVv481Zms5mMjAwyMjIkAXcBv0rCrVbraaebOJLwE+eDFxQUYDKZTtkzLoQQnu5QTRMfbD4MwPxzxpz2/gE6LT/vuF/ed7vdGpsQviIhIYHS0lKfm6hmMpnIy8sjLy+v26Km6DmfmI7iCo4nisViASA7O5ucnBwAKisrsVqtlJaW9vh8NTU1nT4PCgoiKKjrvkshhBgo/ynbT5td4byx0Zw5vGeLkX5+9hieKNrOyvKjHKxpYnhksJujFN5OURQa2lrUDuO0QvWBaDQatcPoUZFQ9E9zczPNzc3Oz0/M09QgSfgpdDU7vKdGjx7d6fPHHnuMP/3pT/2MSAgh+qfg+wMA3JE4qsfHjDOGcu7YaFbvriL/+wM8eJFUwMSpNbS1EPmf36kdxmnV/OQJwgL6ViArKCjAYrFgNBqxWCyUlpaSlpaGyWQiIyODkpIS8vPzO41NXrx4MeXl5cTExFBeXk5iYiJGo5FFixaxZMkS5s+fj9lsZsWKFc535h0DIfLy8igqKsJsNmO1WikuLmbJkiUnJe+LFy92/r20tJSMjIxe7/7tixYtWsTjjz+udhidSBLewbEg01X9W3v37u008kaq4EIIte21NrJ2rxWNBm44c1ivjr1l+ghW767izfWShAthNpspLCzsNFXN8e65Y5LaiRX2goIC8vLynO+qL168mPz8fAoLC0lISMBkMlFaWopGoyEvL4/s7GwMBgOpqalER0djMBiYN2+eM6lPS0sjKyurUwyOJN+xYaHZbCYuLo7y8nK/bx9ZuHAhDz/8sPPzmpqakwqmA02ScDeJjIyUOeFCCI/yzsaDAFwwzsiwXraUpE4bwa/e28Tq3VUcrm1maIQUFkT3QvWB1PzkCbXDOK1QfWCfjisrKztp8klqamqn206sUOfl5XWqiicnJ5ORkYHVau2UIBsMBueHw8yZMykqKuq0G3hSUhJLly49KbaioiLn3x1jmcvKypzXyMjI6NXUloyMjFPuj+ItPLEt2K+ScJPJ1O03nqMX3FWvFJOSktDpdGRmZpKZmemScwohRH+8s7F9uslNU4f3+tgRUcEkjIyibH81n2w9wl1J6laQhGfTaDR9bvPwBsnJycyfP5+4uDhSU1NJSUkhOTnZpTnE8QwGw0nn7qqHPD093TlAwmq1OnMeR44DnHZPFF+Xm5tLbm4uNptN7VD8azpKQkKCs+3kRN1NRemr4uJiNm/eLAm4EMIj1DS18s2u9l/E10/pXSuKw1WThwDw8ZbDLotLCG9kMBjYuXMnycnJFBQUkJKSQlxcXLc5BrS3jxxfpS4qKiI5ObnHCzJ7er+CggISExOdIwR9bUxif2VmZrJ582aKi4vVDsW/KuEpKSmd3so5Xnl5eae3iYQQwpd8UV6Jza5wxqAwYmNC+3SOqycP5a9F21m+rYJWm50AnV/VcYRwKisrIyEhwVlVdszPXrRoUbd5RnJyMqWlpWRlZREXF0dpaSn5+fkujSsnJ4e8vDwKCwu7rcr7azuKJ/KrJHzu3LlkZWVhNptP+uYsKCjo9okjhBDernBbBQDJ4wf1+RxJow0MDgukor6Fb3dZuCSu7+cSwpuZzWYsFouzeOeYn52RkdHtMY48w52jCLOysk5KwB2tKFarlZKSEr9vR/EkPlfGsFqtnXqfjmcwGFiyZMlJuzw5NuJx5Su9pKQk4uPjyc3Nddk5hRCir4o6kvCUCYP7fA6tVkNyx/Erd1S6JC4hvNWJhTuz2UxKSkqn205sTzl+fGBvWK3Wk87V1W0nXtNRdHTkRq5sTenu+o6vpaSkUFZW5rLruUpubi7x8fEn9d2rwScq4Tk5ORQXF2M2m50fKSkpznE+xyfXqampGAwG59tBjm8gxxxOVykuLpbpKEIIj7CnqoEfK+rRauCyM/pXvb4kLob/rdvPF+VHgYmuCVAIL5SWlkZOTo6zsm21WlmwYAFlZWXk5eVhtVpZtGgR0J57pKenExsb26kQ6CgAZmdnn3ScxWJh7ty5LFq0iJKSEsxmM1lZWc7NBPPy8pxtMFlZWc7RiI7bExISMBqN5OfnO6/Zn/1PHI9x0aJFzkWfy5YtAyAuLq7TuS0WCyUlJd0WRdXkGJhRU1NDVFSUqrFoFEVRVI3Axzj+U6urqyUJF0J4hFfW7uGeZd9z7thovn3gwn6da1tFHZOyVxKo01L11ysICdC5KEohfJfVaiUtLY3s7GznAAhHIutIoKVNZGB5Qr7mc+0oQgghOvtmZ3s16tK4mH6fa/ygMEZEBtNis7N6d1W/zyeEP1i2bBkJCQmdJrAZDAbn4s7jp6YI/yFJuBBC+LhvO0YTXjCu//2gGo3Gmcyv3HG03+cTwh8kJyd3m2gXFBTI9BE/5RM94Z5INusRQniCo/XNbKuoB+C8cdEuOefFcTH8d91+vt0llXAhesJkMjl7s+Pi4py3l5eXk5SU1O9ebdFznrRZj/SEu5gn9BgJIYTD+5sOccOrxUweEs6mBZe55JwbDtQw/f++JDxIR9VfrkSn1bjkvEIIMVA8IV+TdhQhhPBhqzr6wc+Pdd1osinDIggL1FHXbGPz4VqXnVcIIfyJJOFCCOHDvutYPOmKfnAHnVbD2aMNAKzZIy0pQgjRF5KECyGEj2pps1O81wrA+S7qB3c4e2z7+Vbvtrr0vEII4S8kCXcT2TFTCKG2Hw7V0NxmJzokgPGDwlx67nPHtCfha6USLoTwIrJjph+QHTOFEGor218NQMKoKDQa1y6ePGeMAYBNh2upaWolMjjApecXQgh38KQdM6USLoQQPqp0X0cSPtL1v2iGRQYzNjoERYGSvdUuP78QQvg6ScKFEMJHlXUk4YmjDG45vyO5X39AknAhhOgtScKFEMIHtdrsbDhYA0DiKPe85TrdkYTvlyRcCCF6S5JwIYTwQZsO1dLcZscQEoApJtQt15jhrITXuOX8QgjhyyQJdxOZjiKEUNPx/eCuXpTpMH1E++LzLUfqaGxVfwtoIYQ4HZmO4gdkOooQQk3HT0Zxl5FRwQwKC+RofQubDtUys2MDHyGE8FQyHUUIIYRbbezoB3dUq91Bo9EwY2T7+ddJX7gQQvSKJOFCCOFjFEVxJuFnDnPvO3JnjWivJEkSLoQQvSNJuBBC+Jh91U1UN7Wh12qYNCTcrdeSxZlCCNE3koQLIYSP+aGjCj5xcDiBevf+mJ82vL3SvulQLYqiuPVaQgjhSyQJF0IIH7PxUC0AZw6PcPu1xg8KQ6/VUNvcxr7qJrdfTwghfIUk4UII4WM2OZLwYe5PwgP1WiYMDut0XSGEEKcnSbibyJxwIYRaBmpRpsOUoe3JviThQghPJ3PC/YDMCRdCqKHNZmfLkToApg5AOwpA/LAI2HCQTYclCRdCeDaZEy6EEMItdlTW09xmJyxQx7ho92xXfyJHJXyzVMKFEKLHJAkXQggfsvFgeyI8ZWgEWq17tqs/UbwjCT8iE1KEEKKnJAkXQggfsrmjJSR+ABZlOowfHEaATkNds409VY0Ddl0hhPBmkoQLIYQP+bGjH3yymzfpOV6ATsuEQe3Xk75wIYToGUnChRDCh/xY0Z6ETxzAJBxgyjCZkCKEEL0hSbgQQvgIu13hxyP1QPtumQPJ2RculXAhhOgRGVEohBAeQlEUbPUHaLX8SKtlK601u7HVH8RWfwhbwyHsrfUorQ0obQ0othY02gDQBaLRBqANjKQt0MhzkVClRDGo/HvqqsYTYDiDAMN4tEHuHZk6eWh70r+tot6t1xFCCF8hSbibJCUlodPpnPMohRDiRLaGIzQdXEPzoTU0H1xL85EylJaaHh+v2Gxga0IB7E2VwE5mhbR/rWbN553uGxA9nsAhiQQNTSRo+HkEDU1Ao3XdrwDHrpnbOtphhBDCE+Xm5pKbm4vNZlM7FDSKzJNyKcfw9+rqatmsRwjRiWJrpenAtzTuXk7j7uW0VHx/8p00OgIMJgKiJ6GPMqEPH44ubBi6sOFoA6PQ6IPR6EPR6ALB3oZib0GxNWNvruWD0o28VfwDFw1vY25cC63WHbRZy7E1HDrpMtrAKIJHXUzImNmEmK4mIHJsvx5bfXMbEb/7BICKxy8nJiywX+cTQgh38oR8TSrhQgjhRoq9jaZ9X1L34zIadryLvbmq09cDjJMJGn4uwcPPIWjoTAKMk9oT7D74cnUYyxqGMXZ0HIPnxDtvtzUepflwGS1HSmk+VEzT/m+wN1tpMH9Ag/kD+OJXBA5NJOyMGwkbfxMBhjN6fe2wID2jooLZV93E9qP1koQLIcRpSBIuhBBu0GLZSu3Gf1K39b/YGyuct2tDBhMyNoXQsSmEjElGFzbUZdd0tIJMOmEyii5kEKHj5hA6bg4Ait1Gy5F1NO79nMZdn9G0/xtaDpfScriUqlW/J2jkhURMuYuw8TejDQjr8fUnDA5nX3UT2yrqOHdstMselxBC+CJJwoUQwkUUWyv1O96hduMSmvZ96bxdGxzTXmWeOJfgkReh0erccv2tR3o2nlCj1RE0bCZBw2ZiSFqArf4w9eXvU7/jbZr2rqR5/zc07/+Gyi8eInzSbUTNeICA6Amnvf74wWF8vuOoLM4UQogekCRcCCH6yd5aT+0Pr1Bd9iy22r3tN2q0hMZeScSZ9xAydg4aXYBbY6hrbmNfdRPQ+/GEurChRE6bT+S0+bTV7qNuy+vU/vAv2mp2Urshj9oNiwk1XUNU4sMEjTgfjUbT5XkcizO3y+JMIYQ4LUnChRCij+zN1VSv+zs163M7ppOALnQoEVPvIeLMu9FHjB6wWBytKIPCAvvVj62PGIXh7IVEJWXRtPcLqtc9T+POj53940HDzyP6/D8RMvqyk4517Jq57ahUwoUQ4nQkCRdCiF6ytzVR+/0/sBbnYG+yAKCPiiNq5q8Jn/wTtPrgAY9pe0fi66hG95dGoyVkzCxCxsyixbKFmrLnqdvyH5oPfsehty4neNSlRJ//OMEjznMec6wSXo/drqDVdl0xF0IIITtmCiFEjyl2G7Wb/sW+f8Vj+fpR7E0WAoyTGHzl64y6cyORU+9RJQEHKK9sACAuxjVJ+PECjZMZlPwio+7eRuT0TNAF0rTvCw4uu4TD799Ia9V2AMYZQ9FrNTS02jhQ0+TyOIQQwpdIJVwIoQpFUahra6autYUmWyuNtlaa2tposrXRZGulydZGs70NRQGF9u0MFBSO39kgQKsjWKcnSKcnSKt3/j1YpydMH0hUYAjBOn23Pcy90XRwLZUrH6TlSBkAuojRRJ/7R8In/8RtCy17o7yyvRJuigl12zX0YcOJufT/EZXwENa1i6jd9C8azB/RsGs5UTMexHD2QkwxoWyrqOfHijpGGULcFosQQng7ScKFEP2mKAq1rc0cbqzlUMfHkeP+XtXSSHVLI9aWRqwtTVhbGqluacKm2N0eW4BWR2RAEFGBIUQFBBMVGIwhMIShIREMCQlnaHA4Q0IiGBIcztCQCIaFRBAZeKyabWuowLLq99RtehUATWAk0ef8loiz7let6t0V81H3VcJPpI8cw6DkF4lMeBDLl4/QuHs51aXPULflP9wWlc6fKs5iW0U9s8cPdnssQgjhrSQJF0Kcll2xc7Chlt11Veyqs7Cnvqrj71XsqatiT30VDW2tfTq3Bg0hej0hugCCdQEE6zr+rtcTqNWj7ahia044RkGh1W6nuaNi3mRra/97x+f1bS3YFYVWu43K5gYqmxt6HFNkQDBjwgyMpIFBR4sZ0XqUEQETOGPM+Uw//1EijbEuqa67kqMSHufGSviJAo2TGXrDBzTu/JjKrx6hzbqDO/gLo2NmsOfQX4FxAxaLEEJ4G9m23sU8YRtUIfqqtrWJbdVH+bH6CNtqKvixuqL979UVNNpOn2SH64MYFhLBsND2yvKwkAiGhkQQExyGoaMSbQgMwRDU8WdgCCG6ALcktI52l+qWpmMfre0V+KrmBg431XG4sZYjjXUc6fj74cY66tqaT3vuqMBgJkQOZnzkYCZEDWr/M3IwE6MGExYQ5PLHcjpNrTbCfvsxigKH/zSHweEDH4Nia8Fa8jSVq59Ap7TSTAjDL/0bkWfdh0Yjy4+EEJ7FE/I1qYQL4YdsdjvltZV8bznABssBvq86wAbLQfbWW7s9RqfRMiosirFh0YwNd3wYnX8fHhKhSgLaHY1GQ0RAMBEBwYzqYYeGoigc/uHfbFr1BPvaFA7oDFhGXcmRyEnsbajuqPxbqW5povjoXoqP7u18TTTERcQw1TicqdHDmBo9gmnG4ZgijGjdmIjutDSgKBARpGeQStvFa3SBRJ/zW0q1l2D5/H6SgrZg+eIhGna8x+DL/zmg4xqFEMIbSBLuJklJSeh0OjIzM8nMzFQ7HOHHbHY7W6oPs7ZiL8VH9/C95QAbqw522z4yODiMSVFDmBA1hImRg5kQNZiJUUOIjTAS4AELEN3F1mSlcsV9NG5/CxMwaWgig1OWEDjozE73a2prxVxXybbqo2yrPsK2mqNsr2l/x6CiqZ4dtUfZUXuUd3ZvdB4Tpg9kavRwEgeNImnQGM4ePJrxkYNclpgfm4wSqnqbzKix07i84s/cHVXE74z/oWnfF+z/TyKDZv+DsAmpqsYmhBC5ubnk5uZis9nUDkXaUVzNE97eEP7tQEM1ayr2sLZiD8UVeyg+uq/LFosQXQBnRg9jmnEEZ0UPZ5pxBGdGDyM6aOB6ij1F08E1VHxyB201u0CrJ/rcPxI18zdotL2rU1Q01bHRcpCNVQfZUHWQjZaD/GA9RLOt7aT7RgYEkzRoNDMHjSZp8GguGDKOISERfYr/ua/NPPTeJm6eOpz8O2f26Ryu0tRqI3ThxwAcethE65fzaTlcAkD45DuIuexZtIF9e5xCCOEqnpCvSSVcCC+mKArltZV8dcjMV4fK+fqwmV11VSfdL0wfyMxBozh70BhmxIziLOMIxkcOQqf1715dRbFTXfIMVd89BvY29JGxDL7ydYKHn92n8w0ODmfWiPHMGjHeeVub3caOmkrKKvdR0tHCUla5j5rWJlYc3M6Kg9ud950YNZgLh5q4cGgsFw81MTY8ukeVbUcl3J3jCXsqOEDHyKhg9lc3sattBElzv6RqzV+oLs6hbsvrNB9aw5BrlhEYE692qEIIoSpJwoXwIoqi8GN1BV8c2sHXh3fy1aFyDjTUdLqPVqPhTMMwkgaP4ezBYzhn0BjiDUP9PuE+kb25morPfkaD+UMAwiakMWj2P9AGRbn0OnqtjkmGIUwyDOG2uAQAWu02NlUdYu3RvZQc3cuaI7v5wXqoYyFsBf/ctgaAUaFRXDTMxMXD4kgZMZ7YiJgur2Hu2C0zbpD7xxP2hMkYyv7qJsyVDZw9Jhrj+X8mdOwcjnxyB61V2zjw5gUMSs4jfOJctUMVQgjVSBIuhIezNDew4sB2lu//kcID205aPBmg1XH2oNFcPCyOi4eZOG/IWCICPGd+tSdqsWzlyAeptFZtQ6MLIuay5wif8rMB66cO0OqYHjOS6TEjSZ94LtD+/7zq8E6+ObyTrw+bKT26j30N1fzPvI7/mdcBcEbEIJJHjidlxEQuGx5HVGD7ZjhqjCc8FVNMKF/vtGC2HBsLGTzyQkbetoYjn9xB096VVHzyE5oPrcV44SI0ugAVoxVCCHVIEi6Eh2mz21hTsYfCA9tYvv9Hio/uxX7c0o0gnZ7zB491VkjPHTyWEL0kMT1VX/4BFZ/dhdJSiy58FEOvWUbQMHX7qAGMQaFcO2YK146ZAkB9azOrK/bw9WEzKw/u4Lsju9sXfW49yktbv0On0XLO4DHMGj6e8oZKIHxANurpiVhjexzmys6z2XWhQxh240dUffsY1SVPUbPueVoqvmfINUvRBRvVCFUIIVQjCzNdzBMa/YX3qW1tYvn+bby/ZxMf79uC5YSNZeINQ5kzciJzRk7koqGxhOrVGUPnzRRFobrkKapW/R6A4JEXMeSq/6ILG6pyZD1T09LEF4fKKdz/I0UHtrOtpqLzHdoC+fnkGVw7Jp7ZI8ar+j3yn9J9/PR/67gsLoYV953f5X3qy9+n4rOfobTUojecwbDr3yUgesIARyqE8FeekK9JEu5invCfKrzDgYZq3t+ziQ/2bObzg9tpsR8blxQdGELyiAkdifcERoUZ1AvUByj2Nio/f4DaH/4JQMRZ9xFz8dNe3Qaxu85C4YHt/GfrBr46sgON7tj3T4gugNkjxnPN6HiuHR3PsNCB/Vn07S4LF76wijGGEHb9Prnb+7Uc/YHD791IW+1utEHRDLlmKSGjLx24QIUQfssT8jVJwl3ME/5ThefaXWehYOcGCnZ9z9oTNnqJi4jhujFTuG7MFM4fMg69D8/kHkj2llqOfHQbjbs/A42WmEv+j8jp96sdlsu8snYP9+SvI3GiwrlT7Hy4dzN7jls3oEHDRUNjSR03jZvGTWP4ACTkh2qaGPHnQjQaaFx0NYH67hcF2+oPc/iDVJoPrQGtnkGzXyRiyp1uj1EI4d88IV+TnnAh3GxfvZWCXRvI3/k9qyt2d/rauYPHcu2YeK4bM4XJUUNV32jF17TV7efwezfQUvE9Gn0Ig6/8D2Fx16odlkvtsjSAoiXRMJa/nzeN58+9kY1VB/lgz2Y+3LuJtUf38tVhM18dNvPLNe8NSEI+NCKIkAAtja12dlc1MH5weLf31YUNZVhqIUcL51P/41KOFs7H1nCkfU67PB+EED5MknAh3OBwYy35O79n2c71rDqyy3m7Bg0XD4slLXY6N4w5c0Cqkv6qtWo7B9++ElvtHnShQxl63TsesQDT1fZUNQIwNrp9UopGo2GacQTTjCP43fRk9tRV8dauDRTs2sDqit0nJeS3mGYwN/Ysl27SpNFoMBnD2HS4FrPl1Ek4gFYfzOArXkMfMaajb/932BorMF70JBoX7SoqhBCeRpLwHsrJySEhIYHk5O77G4V/a2pr5f29m3htRwnL92/DptidX7twaCxzx501YO0A/q7l6EYOvX0VtobDBESPZ+gNHxEQNU7tsNxid0cSPs7YdRI9Jjyah868hIfOvKTbhPxXa97lmtHx/CQukStHTSJQ1/9fDaaY0PYk/IQJKd3RaDQYL3wCXehgLF8toKbsWeyNFQxKXuzVvftCCNEdScJ7wGw2k5WVRWFhodqhCA+jKArfHtnF6ztKWbZrPdUtTc6vnTN4DPNip3PzuGmysHIANR1cy+F3r8XeXEXg4LMYduNH6EKHqB2W2+yqak9yHZXwUzkxIV+2cz3/KS9jY9VB3t69kbd3byQmKJRbTDP4SVwiSYNG97klxPGioKdJuENUwq/QBsdwtDCdui1vYGuqYsjVb6LVy+x7IYRvkSS8B4qKijCZTGqHITzIvnor/9pezOs7StlRe9R5++gwA3fEJfKTMxKZGOW7iZ+natz7BYffvwmltY6g4ecy9Pr30QUb1A7LbdpsdvZVt7/wGxfdu3aSMeHR/GbqZfxm6mV8bznA6ztK+J95HYcaa8ndsorcLauYFDWEn084m5+ekcSg4N7NIHe8KNhrbezVcQAR8XegCzZy5KNbadz5MYffv4mh172FVn/6FxpCCOEtJAk/jYKCAubOnUt2drbaoQiV2ex2Pt2/lSU/ruGjfZudG+iE6QO5edw07ohL5NLhcWilh1UVjbuL2hNwWxPBY2Yz9Jp8tIGn7kX2dvurm7DZFQJ1WoZFBPX5PGcZR3DW2dfx5MyrWXFwB6/vKOHd3T+wtfoIjxR/yG9LP+HGsVO5Z8I5XNbD73FHEr6nD0k4QKjpaobe+CGH37uepj1FHH7vRoZe9zbaAM/YFVQIIfrLp5Jwq9VKVlYWBoPhlElzUVERhYWFxMXFYbVaAViwYEGX5wMwGAxuiFZ4i331Vl7dvpZ/blvbacv4i4ea+NmEs7lp7FTCA/qeAIn+a9y70pmAh5quYfBV//WL9gVHP/iY6BC02v5PEtFrdVw+ciKXj5xIbWsTb5rX8/K21ZQc3ceynetZtnM9cREx/HzCOdx5xsxTzh8f21GZ313Vu3aU44WMuphhN3zAoXevo2nv5xx+73qGXv8u2gDP2BlUCCH6wyeS8KysLMxmM0lJSRQVFZ1y8WRBQQFLly4lPz/feVtRUREpKSkn9XwvW7aM9PR0t8UtPJddsbN8/zZe2vpdp6q3MSiUn54xk/kTzmWSQdpNPEHj3i85/N4NHQn41Qy5+k00Ov/YUbQ3/eC9FREQzPyJ5zJ/4rmsq9zPy9tW89/ydZTXVvLb0o/5Y9mn3DD2TB6Iv4gLhow7qXd8jKE9poM1zTS32QjS923uffDICxl244ccevdamvZ9yeF3r2Po9e/5/LscQgjf5xNJ+PFV76VLl3Z7P6vVyvz589m5c2en25OTk8nKymLx4sXOpLusrEwmofihutZmXttRwgtbvuHH6mPbgl881MQ9E8/l5rFTCdbLpAZP0bjvaw6/dz1KWyMh465kyFX+k4DDsUr42F72g/fWjJiR5J53MzkzryF/1wZe/nE131XspqBj0sp04wgyJ1/IraYZhHQ8PwaHBxKs19LUZmeftYm4QX2vXgePOJ9hN37MoXeupmn/1xz+ILW9Iu4H73YIIXyXXzWvLlu2DJPJ1GV7ybx588jLy3N+XlJSIosx/Yi5tpLfrH2fMcv+wgOr3+HH6goiAoJ4YPKF/HDjI6y86n5uj0uQBNyDNB1YzeH3rkNpayBk7OUMuWYpGr1/tQXtPmFGuLuFBQRx1/gkvrnmAdZd/zD3TDiHEF0A6y0HmL9qGWOX/YXflnzMnroqNBoNYzricsTZH8HDz2HYjR+jCQinae/nVHx8G4qttd/nFUIItfhEJbyn8vPzMRqNXX7NZDJRVlaG1Wpl8eLFVFZWkpOT4/y6xWIhLy+PsrKyLvvHhfdRFIUvDpXz/Oav+WDPZhTaW07GRw7iF5Mv5M7xM4kIkEqbJ2o5+kN7At5aT/CYZIZcu8wvq6KOfutxxoGfGjLNOIK8C9JYNPNqXtm2hn9s/ZbddVVkb/ycp35YyQ1jzsRgHAQVfV+ceaLg4Wcz9Lp3OPzutTSYP6Ri+c8ZfMW/ZEMfIYRX8qskvKSkhLlz53b5NUfV22w2d5lkZ2VlkZGRIS0qPqDNbuOtXRt5auNK1ln2O29PGTGBB+Mv4opRE2XCiQdrrd7JoXeuxt5sJWj4eQy9tsBvR9c5K+EG9SaGGINC+c3Uy3hoyiV8sHczL2z+mpWHynl798b23zDjoig8EMRPlZEueV6FjL6EIde8yeEPUqn/8U20gRHEzHpBtrgXQngdv0rCrVbraSedmM1mEhISBiYgMaAa21r51/a1/N+mrzDXVgIQqg/gp2fM5BeTL2SyYajKEYrTsdUf5tA7V2OrP0hAzJSOSRn+ObLOblecW9arUQk/kU6r5YaxZ3LD2DPZaDnI/9v0Ja/vKMMeVs2bluV8/856fj31Um4zJRDUzx05Q2OvYvAV/6bikzuo3bgEbVAUxgv/5qJHIoQQA8OvkvBTcSTnFoul0+1FRUXOSSrZ2dk9bkepqanp9HlQUBBBQf7Vr+opqpob+MeWb/n7lq+paKoHICYolF9MvpDMyRcQ08tNSIQ67M3VHHr3WtqsO9BHjmvfCTM4Wu2wVHOotpkWmx2dVsOISM9qxZlqHM4rF93CWfqzeOibz9DHHGJL9RHu+WYZfyj9lF9OuYj0iecSFdj3Fw/hE9JQWuo4WpRBdcnT6MNHETn9fhc+CiGEL2lubqa5udn5+Yl5mhokCT+N5ORkkpOTOy3a7InRo0d3+vyxxx7jT3/6kwsjE6dzsKGGZ374gsU/rqa+rQWAceHRPDzlEu4an0SYzPb2GkpbM4c/SKWlYj3a0CEMu+lj9OEj1A5LVY7xhKOigtHrPLN96qzBg+FwHGPsk7n3qkCe2/w1BxpqeLTkIxZtWMGD8RfxYPxFGIP69m5GxJk/w9ZwmKpv/0jlFw+hCx9B2Bk3uPZBCCF8wqJFi3j88cfVDqMTScI7ODbm6W7hZm/t3buXyMhjG1lIFXzgHGioJmfDSpZsW02TrQ2AadHDeWTqZcyNPQu9tm/zioU6FEWhoiiDpn1fogmMYNgNHxBgOEPtsFQ30JNR+sIxOnF/VRsPT5nDg/EX8V/zOp754Qs2Ww/zl/WFPLvpKzInX8BDUy5hUB/elYpKyqKtdi+1G5dQ8clP0d28nOAR57r6oQghvNzChQt5+OGHnZ/X1NScVDAdaJKEu0lkZGSnJFy43756KzkbV/LytjU0dyTf5w8Zx2/Pms0VIyfJwi0vZV3zV+q3/hc0OoZevZSgITPUDskj7OuYOOLYFMcTjTIEo9FAc5udivoWhka0jzj86RmJvL17I0+sL2JD1UGe3PA5z2/+mvsmnc+vz7yUoSERPb6GRqMh5rLnaKvbT+POjzn8/o2MmPclAdET3PjIhBDexhPbgj3zPUw3MZlMmM3mLr/m6AV31WzwpKQk4uPjyc3Ndcn5RPf21ln5xXdvM75gEblbVtFsa+PCobEsvzyDr67K5MpRkyUB91J1W97AuvovAMTMeoGQsTKdyGFvdRMAIz04CQ/QaZ396sdvX6/VaEkddxal1z/E27PuIiFmJA1trTzzw5eY8p/goTXvcbCh5/2aGq2eIVe9QeDQmdibKjn0zrXYGo64/PEIIbxfbm4u8fHxJCUlqR2Kf1XCExISnG0nJ3Ik566ajFJcXCyVcDc70FDNE98X8c9ta2m124D2nS3/MD2Fy4afIYm3l2vc9xUVhe072EbN/A2RU3+uckSeZX9HJXx0lOcm4dDeLrO/uondVY2cPabzQlqtRsv1Y8/kujFT+GTfVv76fSFrKvbw/OavWfLjah6Iv5BHpl7Wo55xbUAYw65/lwNLL6at2szhD+cx/KZP/W4DJyHEqWVmZpKZmUlNTQ1RUVGqxuJXlfCUlJRuK+Hl5eUyA9xLVDU3sLDkIyYUPMlLW7+j1W7j0mFxrLjiXlZedT+zRoyXBNzLtVZt48gHaWBvJWz8zURf8Fe1Q/I4+zoq4aMMnjUZ5USOdpk9p9g1U6PRcNXoyay6+gE+nZPOuYPH0mhrJWfjSuLy/8YT64uobW067bV0oUPax1YGRtF8YBVHP/8FiqK47LEIIYQr+VUSPnfuXCwWS5eJeEFBARkZGSpEJXqqvrWZJzesIK7gb+RsXEmjrZXzBo9lxRX3suLK+7h0uCzW8wX25moOv38T9uYqgoadw6DLX5EdEbuwt6MSPirKw5PwjsWZu3uwa6ZGoyFl5AS+ufoXvJd8N9Oih1PT2sQf133KGfmLeHbTVzS1nXqr+kDjJAZf9R/QaKnb/G9q1j3vkschhBCu5nO/2axW60mzvh0MBgNLliwhKyur0+0FBQWYTCZSU1NdFof0hLtOi62Nf2xZxfi3nuR3pZ9Q3dLE1OjhvDv7Z3x99S8k+fYhimLnyKd30lq1DV34KL/eDfNUWtrsHK5rn3c72oN7wuHYi4QD1T3ful6j0XDN6HhKr3+INy65nfGRgzjaXM+v177PxLeeZMmPq2nraEHrSui4yzFelAOA5essGnZ+2r8HIYTwGZ7UE65RfOC9upycHIqLizGbzZSVlQHt870NBgPz5s07KbkuKiqisLCQuLg4Z494Tzbg6QlHj1F1dbX0hPeTXbHzpnk9fyz7lJ117S+sYsONPJ5wBbfETken9bnXkH6v6tvHsK5dhEYXzPC5XxA0VHav7cpuSwOxf1tBoE5L45NXeXT71bs/HOSmf5VwzhgD3z14UZ/O0Wa38a8dJfxl3XL2NVQDMDlqCNlJ13BVNwuvFUXhaNG91G16FU1gJCNu+ZpA4+R+PRYhhO/whHzNJ5JwT+IJ/6m+YNXhnfxm7fusPboXgKEhEfzhrGR+PuEcAvu55bXwTPXb3+bIR7cAMOjyV4iY/BOVI/Jc3+ys5OLcbzHFhLJj4Wy1wzml4j1Wznn+a0ZGBbP3Dyn9OldTWyt5P37HE98XUdncPm1l1vAzyEm6lhkxI0+6v2Jr4eDbV9C8/xv0hjMYeet3aIPUXYglhPAMnpCvSSlReJTymqPMXfkaF3+cy9qjewnTB/LnGVew/eZHuW/yBZKA+6iWoxupWN4+/SRyxi8lAT+NfdaORZke3g8OxxaOHqxpos1m79e5gvUB/HLKxWy7eSGPnHkpgVodnx/cQdL7z3LXV/9jb5210/01ukCGXr0UXcQY2qw7qFj+c1moKYTwGJKEC49gbW7kkbUfMOWdp3hr1wa0Gg33TDiHbTc/yu+mJ8sW8z7M1mTh8AdpKK31BI+ehfGiRWqH5PEck1E8vR8cYEh4EHqtBruCs4+9vwxBITyZdA1bbsriVtMMFBReLy9l0ttP8vvST6hpOTZJRRc6mKFXvwm6QBrK36e65GmXxCCEEP0lSbibyMLMnmm128jd/A0T3lrE/236kla7jeQREyi77mHyLkhjWKi09PgyRbFT8dndtFWb0UeOY8hVb6DRyrsdp+OYjDLSw2eEA+i0GoZHtr+IdlTwXWVchJH/XHI7q695kIuGxtJka2PRhhVMfOtJXt2+FrvSXnkPGjaTmEufBaDq2z/QuHelS+MQQngPWZjpwzyhx8hbrDiwnV+ufoct1e0728UbhpKTdI1sMe9HrCXPUPXNQjS6IIbP+0q2pO+h1H8X8/bGQzx/w5n84sJYtcM5rQv+/g3f7a6i4M6Z3DR1uFuuoSgK7+/ZRFbJh2yvOQrA2YNG89y5N3L24DHtCzUL06nb/G+0IYMZedsa9BGj3BKLEMLzeUK+JpVwMeD21lmZt/I15nyWx5bqIwwKCiP3vJtYd/3DssW8H2nav4qqVb8HwHjp/5MEvBf2Wr2nHQVgZEfv+r4ezArvK41Gw/Vjz2TDDb8hZ+Y1hOuDWHt0L+d9+Dz3fLOMI011xMx6nsDB07E3VnDko1tQbC1ui0cIIU5HknAxYJptbSz6fgXx72RT0NH3/YvJF7L15izunXQ+eq1O7RDFALE1VHDk49tBsRE26VYizpQt6XtjX8fMbU/fLdPBmYRXu7YdpSuBOj2/nnopW2/O4o64RABe3b6WSW9l8/cfi4m+6g20QQaaD63F8s3v3B6PEEJ0R5JwMSA+3ruFae88ze/LPqGhrZWLhsZSct1DPHfuDUQHhaodnhhAit1Gxad3Yas/QED0RAbNypV3P3qh1WbnUG37AsdRXtATDsfiPDAASbjD8NBI/nXxrXxz9S9IjBlFTWsTD699n7NXvsOms58BoGbdczSYPxqwmIQQ4niShLuJLMxst7O2kuuLXuHaon+yo/Yow0Mief3i21h55f2cZRyhdnhCBdbiJ2ncU4hGH8KQa95EGxiudkhe5UB1E4oCgTotg8MC1Q6nR45Vwt3XjtKd84aMY/W1D7L4gjQGB4expfoI1274ngUjH+SoJoSK5ffQVrtvwOMSQqhDFmb6ME9o9PcErXYbz276isfXLafR1opeo+WXUy7iD9NTiAjwjrfQhes17vuaQ2+lgGJn0JyXiYj/qdoheZ1VOy1clLuKWGMo5b/17I16HBybC8XFhLJdxc2FrM2NPLbuM/6xdRV2RSGSNn7T+BV3DYpmROpyNNISJ4Tf8IR8TSrhwuXWVOzm7Pef5dGSj2i0tXLpsDjW3/BrcpKulQTcj9maqqj47C5Q7ITH/1QS8D5y9oN7wUY9Do52lH3VTapulmMICuG5c29g9TW/bG9RQc8fQ2ZxXfUwVn31F9XiEkL4J0nChctUtzTywHdvc8GHL7Ch6iAxQaG8cuE8iq64l8mGoWqHJ1SkKAqVKzKx1e5FbzjDObNZ9J5jMsooL5mMAjAisv0FQ3ObncoG9SeSJA4axXfXPMiz51xPhE7Lev1wZplrePjzF6lvdc2GQkIIcTqShIt+UxSFt3Zt4Mx3nuIfW79FQeGnZ8xk801Z3Dk+SRbdCeo2v0799gLQ6hlyxWvSB94P3lgJD9RrGRLe3r++fwAXZ56KTqvlgfiL2HTz77gmuBWbRstzu8s58+1sPtizSe3whBB+QJJw0S9766zcsOJV5q58jQMNNYyPHETh5Rm8etEtDAoOUzs84QFarTuo/OKXAESf+xhBw2aqHJF3c0wYGelFSTgcPyvcM5Jwh5FhUbyT+jde0ZQy0l7DnoYabljxKrd/+QYVTXVqhyeE8GGShLuJr09HURSFxT+uZuq7T/Hh3s0EaHX8/qxk1l//a2aNGK92eMJDKLZWjnzyU5TWeoJHXkzUzN+oHZLXO1DTnsQ6Wjy8haMvfH+NZyXhANqAMG658mk+qX+T+c2laIE3zes48+2neNO8TtU+diGEa3nSdBS92gH4quLiYp+djrKr1kL6qnxWHNwOwHmDx7L4wjTiDcNUjkx4mqrVf6blcAnaoGgGX/GqTJ9wgYM17T3LI7y2Ej7wYwp7ImhoIiPOySLru8e5SjnI74fcyaaaSm7/8g2W7lxP7nk3MSI0Su0whRD9lJmZSWZmpnM6ipqkEi56zK7Y+ceWVUx792lWHNxOiC6A/zv7Or68KlMScHGSpoNrqC55CoBBs3PRR4xWOSLvpyiKsxI+PMJLk3AP6QnviiEpi6BhZzO12cwHypf8cXoKAVod7+/ZxJnvPMUr29ZKVVwI4TKShIse2VFzlORPX+KB1e9Q39bCxUNNrL/h1/xyysXotPJtJDqztzZwdPndoNgJm3QbYRNS1Q7JJ1Q1ttLcZgdgeGSQytH0jhq7ZvaWRqtn8OWvotGHYt/3Ob9SfqT42l8xc9AoqluamL9qGVcsX8KuWovaoQohfIBkT+KUbHY7z236iunvPsOXh8yE6QN5/pwbWHHlvZwROUjt8ISHqvr2j7RWbUcXNoKYS/+f2uH4DEcrijE0gOAA72rtUXPXzN4IiB6P8eL2d3CqVv2OiYqFVVc/QPbMqwnW6Sk6sI2z3n2Gf25bI1VxIUS/SBIuurWztpLZn77Iw2vfp9HWyqzhZ/D9Db8mM/5CtBr51hFda9z3NTXr/g7AoOSX0AVHqxyR7/DWVhQ4tpDU8ULCk0VMvYeQcVei2Jqp+PRn6BQ7v5l6Geuu/zUXDo2lrq2Z9FX5XL/iFQ411KgdrhDCS0kmJU6iKAqvbl/L9Hf/j68P7yRcH8Q/zruZ5ZdnEBsRo3Z4woPZW+o4uvweQCF8ys8Ijb1C7ZB8iqOVY0SUd7WiwLH2marGVppabSpHc2oajYZBKXlog420VKynuvRpACZEDebzK+4je+bVBGp1fLR3C9PefZq3dm1QOWIhhDeSJFx0cqSxlps+/xf3fLOMurZmLhway7obHiZj0nmy6Y44Lcs3C2mr2YkuYgwxHW/pC9c5WOud4wkBDCEBBOnbf+UcqvX8arg+bBgxl/4fAFVrnqClsn0DH51Wy2+mXsbaa3/FdOMIKpsbmLvyNX761X+xNnt2q40QwrNIEu4m3jgn/IM9mzjr3Wd4f88mArQ6FiVexedX3IdJqt+iBxr3rKB2Qx4Ag1MWow3yzRGdajrQ0coxzAuTcI1Gw/CI9mr4QQ+cFd6VsIm3EhJ7FdhaOLo8HcXe5vzaVONwvrvmQX47bTZajYY3yss4692nKdy/TcWIhRCn40lzwiUJd5Pi4mI2b95MZmam2qGcVl1rMxmr8rlhxascaarjTMMwVl/zIAumzZLJJ6JH7C11HC28F4CIafcSMmaWyhH5poPV3lsJBxju6Av3gko4dLSlzM5FGxhF8+FiatY93+nrgTo9f0m8kq+uymR85CD2NVRzxfLF/HL1uzS2taoUtRDiVDIzM9m8eTPFxcVqhyJJuL/77sguZrz3f7y8bQ0aNDw85RLWXPtLpseMVDs04UWqvn2Mttrd6CPHYbzwb2qH47OOtaN4X084HOsL95ZKOIA+fCTGSzqmpXz7J1qrTq50nzdkHKXXPcT9k84H4IUt33DuB8/xQ9XBAY1VCOFdJAn3Uza7nb99X8QlH/8Dc20lY8IMrLjyXp46+1qC9QFqhye8SNPBtdSsfwGAmFkvoA0MVzki3+VYmDncSyvhwyK8Z0LK8cLj7yR4TDKKrYmKwgwUxX7SfcICgvj7eTfxUco9DAkO5wfrIc754Dle3LJKRhkKIbokSbgf2l9fzZzP8vhD2afYFDu3mRJYf8OvuWRYnNqhCS+j2Fo4uuJeQCF88u2Ejpujdkg+q323zI4t6700CXdWwmu9pxIOHW0pyS+iCQin+cAqar5/sdv7XjFqEutv+DVXjJxEk62NX6x+hxtWvMrRpvoBjFgI4Q0kCfczH+zZxIz3nuGLQ+WE6QP510W38voltxEVGKJ2aMILVZc+Q+vRH9CGDHJucCLco6qxlRabd+6W6eCo4B/ysko4QEDkWIwXLgKgatXvaavZ0+19h4ZE8GHKz/l/Z19PoFbHh3s3M/3dZ1hxYPtAhSuE8AKShPuJprZWfrn6XW5Y8SqVzQ0kxIyk9LqHuOOMRLVDE16qxbKVqjVPABBzydPoQmQHVXdytKIYQwMI0nvXbpkO3jYd5UQR0+YTNOIClNZ6Kr/41Snvq9FoeHDKRay+9pdMjhrCwcYaLv9sMY8Wf0iLre2Uxwoh/IMk4X5gi/Uw5334PC9s+QaAh6dcwqqrH2B81GCVIxPeSlHsHF1xP9haCBl7OWETb1U7JJ/nmCjira0ocKwSfsBLk3CNRsug2S+AVk+D+UPqd7x32mPOMo5g7XW/ImPieSgoPPXDF1z08QvsrK0cgIiFEJ5MknAfpigKr2xby9kfPMuGqoMMCQ7no5R7eOrsawnU6dUOT3ix2o3/pHn/N2gCwoiZ/YJs5DQADnj5eEI4loRX1LfQZjt5caM3CIyZQlTirwGo/OJX2FtqT3tMqD6Qf5x/M2/NugtjUCglR/eR+P7/453dG90drhDCg0kS7iZqb9ZT39rMz75+k/mrltHQ1kryiAmsu/5hrhg1SZV4hO+w1R+m6pvfAhB9/p8JiByrckT+wVE99tZ+cIDBYYHotBoUBQ7XeV9fuIPhnN+ijzJhq9tP1bd/6vFxN4w9k7LrHua8wWOpbmki9fN/8/Ca96Q9RYgBJJv1+AE1N+vZaj3CeR8+z+vlpWg1Gv6WeBWfzLmHYaGyg6HoP8s3j2JvqSZwyAwiz7pf7XD8hqMdxVvHEwJotRqGhjv6wr03CdfqQ4iZ9XcAar7PpflwWY+PHR1uYOVV9/PrMy8B4LnNX3PpJ/9gd53FLbEKITqTzXqE27xpXsc5HzzHJuthhoVEUHTFvWRNm4VWI//Vov8a931F3ZY3AA2DZr2ARuudCwS90UEvnxHu4I0b9nQldGwKYRPnQcf6CMVu6/GxAVodOUnX8u7snxEdGMKaij0kvvf/+GDPJjdGLITwNG5pDP78888xm82Ul5djNpuxWq3OrxkMBkwmE3FxcZhMJmbOnElkpFRo+6vZ1sbDa9/jpa3fAXDZsDj+c8ntUv0WLqPYWqlc+SAAEVPvIWiY+m/l+RNHO4q37pbpMDwiGKj2mq3rT8V48VM07vyUliNl1Hz/IlEzftGr468dM4WS6x7i1i9eZ+3Rvdyw4lV+c+al/DXxSgLkBa4QPs8lSfiuXbvIy8ujqKiIsrIy5+5gBoMBo9Ho/NNisVBeXk5hYaEzMddoNCQkJJCcnMy9997L2LHSX9pbO2srueWL1yk5ug+A306bzZ9mXI5OK9Vv4To16/9Oa+VmtCGDiL7gL2qH43cO1vhGJXyYj1TCAfRhw4i+8G9Ufp5J1XePETbhZvRhw3t1jnERRr68KpNHSz7iuc1f8/QPX/DtkV28eekdjAyLclPkQghP0K8s7fPPP2fOnDmYTCYKCwuZPXs2y5cvp7y8HLvdjsViYceOHZSUlLB8+XJKSkrYsWMHFosFu91OeXk5y5cvZ+7cuRQWFhIbG0tSUhIrV6501ePzeR/s2cTM95+l5Og+jEGhfJjyc/6SeKUk4MKl2mr3UbW6PfE2XrgIXbBR5Yj8i6IoHHL0hEd4dxLueBHhzT3hx4uY+nOChiahtNQ6Fyz3VqBOz/+dcz0Fs+4kKjCYb4/sYub7/4+vDpW7OFohhCfpU6a2a9cu5syZQ0ZGBmlpaVRVVVFSUsKTTz7J7NmziY2N7dF5YmNjmT17No888gglJSVUVVUxf/585s+fz+WXX87u3bv7Ep5fsCt2Hiv7lBtWvIq1pZFzBo+h9LqHuHLUZLVDEz6o8qvfoLTWEzT8PMLj71A7HL9T09RGU1v7SL+hEYEqR9M/jg17DnnZ1vXd0Wi0xFz2HKChbssbNB34ts/nunHsVIqv/RXToodzpKmO5E/zeG7TV853l4UQvqXXSfhbb73lbB3Zvn078+fPJyrKNW+ZRUVFkZ6ezo4dO5g/fz6zZ8/mnXfeccm5fYm1uZHril7hr98XAfCLyRfyxZX3MyY8WuXIhC9q2LWchu1vg0ZLzKzn0cgi3wHnGOcXEaQnNNC7Z/z7WiUcIGjYTMLP/BkAlSt/2atFmieKixzEqmse4FbTDGyKnYfXvs9Pvvov9a2+8+8lhGjXq9+mjz76KEVFRezYsYObbrrJXTEBkJqayo4dO1izZg0LFy5067W8yQ9VBznng+f4ZN9WgnV6/n3xrTx37g2y+Y5wC6Wt2bk9d+T0XxA0+Cx1A/JThztaUYZGePeiTPCd6SgnMp7/F7RBBloqvqd248v9OleoPpDXL76NZ8+5Hr1Gy5vmdVzw0QvsqDnqomiFEJ6gx0n4U089RVJSEi+++KI74znJk08+ycyZM3n66acH9LqeqGDX95z/4d/ZUXuUseHRfH3VL/hJXKLaYQkfVr3+77RZd6ALHUb0uX9UOxy/5egHHxru3a0ocKwSfqi2Gbvdd9osdKGDiT7/cQCqvv0jtsb+JcwajYYH4i+i8IoMhoZEsLHqIGd/8Cwf7d3sinCFEB6gx0l4cnIyN998sztj6dbNN9/M7NmzVbm2J7DZ7fy25GPmrXyd+rYWZg8fz9prf0XCoFFqhyZ8WFv9Iaxr/gZA9IVPoA2ScZdqcVTCh3n5okyAYR3V/Da7QmVDi8rRuFbE1PkEDpqKvbmKqm8fc8k5Lx4WR/G1v+Lcjl02ryt6hcfXfYZdsbvk/EII9fQ4CZ8xY4Y74/D466vF0tzA1YUvk73xcwB+feYlfDznHgYFh6kcmfB1Vav+gNJaR9DQJMIn3652OH7N0RM+xAfaUQJ0WmJCA4BjLy58hUar71ikCbUbX+7VTpqnMjIsipVX3sd9k84H4M/rC7n5839T2+pbLT1C+BtZYeXBNloOcvb7z1J4YBshugDeuOR2cpKuRS+bOAg3az5cSt3m1wAwXvKMLMZU2bF2FO9PwuFYb7vjxYUvCR55IWGTbgWU9kWaLppsEqjT88J5N/HPC+cRqNXx/p5NXPjhC+ysrXTJ+YUQA6/Xv1nvu+8+d8QhTvDe7h+44KO/s7POgikihm+veYBbTP75boAYWIqiUPnlrwGFsEm3EjziXLVD8ntHHO0oXr5bpoPjxYSvVcIdjBcuQhMQRvOhNdT/uNSl575rfBIrr7yfYSER/GA9xDkfPMcXB3e49BpCiIHR6yR88eLF7ojD5yQlJREfH09ubm6vjlMUhewNn3Pz5/929n+vufaXTDOOcFOkQnRWv20ZzQe+RaMPxXjBE2qHI5BKuLfRh4/AkLQAAMuq32Nva3Tp+c8dMpY11/6SxJhRVDY3cPlni3lpa9/nkwvhT3Jzc4mPjycpKUntUHqfhCuKQm1trTti8SnFxcVs3ryZzMzMHh/T1NbKXV+/yW9LP0ZB4b5J5/PRnHswBoW6MVIhjrG3NmD5un0kaFTSAvQRsvjXE/jSiEKAwc5KuG8tzDxeZMKv0EWMxla7h5qy51x+/lFhBr68KpNbTDNoU+xkfvc2v/jubVr7MaNcCH+QmZnJ5s2bKS4uVjuUvvWEZ2VlsWvXLheH4t8ONdQw+9OX+E95KTqNlhfOvZEXzruJAOn/FgOouuRpbHX70EeMJSrxIbXDEbQXPhwV42E+koQ7Xkwc8dF2FACtPgTjBX8FwFqcQ1v9IZdfI0QfwH8uvo0nEq9Eg4YXt37LlZ8tprKp3uXXEkK4Xp+S8Ly8POLi4oiJiWHevHm8/PLLkpT3w/rK/Zz74fOsrthNdGAIn8yZz32TL1A7LOFn2mr3Ul36DADGixah1YeoHJEAqG5qo9m5Zb2PJOHhvt2O4hA2cR5BQ5NQWuuo+u5PbrmGRqPh0WmzeXv2XYTrg1h5qJxzPniOTVWuT/qFEK7V6yQ8KioKRVFQFIWqqioKCgrIyMjod1K+fv363obiE97etZGLPn6BvfVWJkYN5rtrHmT2iPFqhyX8UNW3f0RpayRo5IWEjldnTwBxMkcrSkSQnpAA33hnzFkJ9/EkXKPRYrzkKQDqfniV5orv3Xat68ZM4dtrHsAUEcPOOgsXfvQChfu3ue16Qoj+63USvmLFClJTU8nLyyM7O5tZs2a5JCn3t814FEXhb98Xkbby3zS0tZIyYgLfXv0g46MGqx2a8EPNR9ZRt+W/AMRclINGo1E5IuFwbKMe36iCg+9PRzle8IjzCRufCihYvspy2cjCrkyJHsbqax7k4qEmalqbuLrwZZb8uNpt1xNC9E+vk/CEhASWLVuG1WrFYrFQWFiI3W6ntLSU7OxsZs+e7ayW9yYpr6qqctVj8nitdhv3rFrGH8o+BeCByRfyYcrPMQTJ2/9i4CmKguWb3wIKYRPmEjRsptohieMc8rFFmQBDIwIBOFLX4tak1FNEX/gE6AJp2vs5jTs/duu1YoLD+PTydG6PS8Cm2Ln32wKyij+UHTaF8ED6vh74yCOPsHPnTu677z7S0tKYNWsWM2bM4JFHHgFg3bp1FBUVUVhYSElJCVarlaqqKvLz8ykoKADAYDAwc+ZMDAaD31TerM2NzF35GisObker0fD3c2/k3o5d0IRQQ+PuQpr2rABtANEX/EXtcMQJHH3TvjKeEGBIx2NpsdmxNrYSHRqockTuFRAVS9SMB6kueRrL11mEjJ2DRhfgtusF6fT8+6JbGR85iD+tW87TP3xBeW0lr118K6F63/63FsKb9GsbvNjYWF588UWqqqq47777qKmpcX7NkZAvX74ci8VCeXk5eXl5pKamdqqUFxYWUlBQgMFg6O9j8Xi76yxc/PELrDi4nXB9EO8n3y0JuFCVYrdR9U37SMLIs+4nICpW5YjEiXxtPCFAcICOyOD2GpCvL850MCQ9ijZkMK1V26j94RW3X0+j0fCH6XN47eLbCNTqeGf3RmZ98iKHGmpOf7AQYkC4ZC/qm2++mSeffJK//e1vvPzyy13eJzY2lvnz57Ns2bKTknJ/eDuy9Og+zv/w72yyHmZEaCRfXnU/V46arHZYws/VbXmDlqMb0QYZMJyzUO1wRBd8sR0F/KsvHEAbFEn0Ob8DwLrmr9hb6gbkurfHJbD88gxigkIpPrqX8z/6u0xOEcJDuCQJh/apKU8++SSJiYnMmzfvtNNOjk/KS0pKXBWGR/pgzyYu/SSXQ421TIseznfXPMj0mJFqhyX8nL2tkarvHgMgKikLXbBR5YhEV474ahIe4fsb9pwoYuo96KNM2BoOU73u+QG77kXDTHx7zYOMjxzE7roqLvzoBZbv/3HAri+E6JrLknCHGTNmsHTpUgoLC1m4sGeVtYSEBKxWq6tD6bfFixezePFicnJySEtLo6ioqNfnyN38DTd9/i8a2lqZM3IiX16Vyagwg+uDFaKXasqex1a3H13EGCKn93xnVzGwfG2jHgd/mRV+PI0ukOjzHweguvQZbA0VA3btMyIHserqB5yTU64t/Cf/3q7+joFC+DOXJ+EOjzzyCOnp6dx77728/fbbp71/VFSUu0Lpk4yMDEwmE+np6SxYsICMjAxSUlJ6/GLBZrfz67Xv8+Cad7ErCvdMOIf3k+8mMjDYvYEL0QO2hgqsJTkAGM9/HK1evi891aHaJsC3FmYCDPGTWeEnCpuQRuDg6SgttViLswf02sdPTmlT7Nz9zVIWfb/CL1pChfBEbkvCob3l5KWXXkJRFO67775TzgovLS11Zyi9ZrFYyM/Pd35uMpkAetw6c/c3S3l201cALEq8ipfOT5Ut6IXHsK59EqWllsAhMwibdKva4YhuKIribNfwuXYUP+sJd9BotBgv/BsANd+/SGv1zgG9vmNyStbUWQD8vuwTfrH6bWx2GWEoxEBzaxLucPPNN/Piiy/y0ksv8fTTT3d5n9hYz5rKkJ+fT15envPzsrIyAGbO7NkM5ff2/ECgVscbl9zOgmmz/GYEo/B8bTV7qNnY/r1tvOAJNJoB+TEg+qC6qY0Wm29tWe8wJNwxK9y/knCAkLHJBI+ZDfZWqr57fMCvr9Fo+NvMq3j+nBvQoOGlrd+RtvI1GttaBzwWIfzZgP72ffLJJ5k9ezZz5851yzb1VquVjIwMsrKyTnm/oqIisrKynP3eOTk5pz23Y4fQno5SjAgI4qOUe7jFNKNH9xdioFSteQJsLQSPurQ9ERAey9GKEhnsO1vWOxxbmOl/STi0vwAGqN/6P7duZ38qmfEXsvSyOwjS6Xlvzw/M+SyPyqZ6VWIRwh8NeAlsxowZLFu2zLlw8/jZ4n2VlZVFWloaixcvpqio6JR92wUFBc6E2tHvnZCQQEpKSpf3X7x4MWlpaaSkpLBgwYIex/RRyj3MGjG+tw9FCLdqsfxI3ebXAIg+/8/yDo2Hc84I97F+cJAkPGhoAmET0gCFqlV/UC2Om8dN47M56RgCQ/j2yC4u/jiX3XUW1eIRwp8MeBK+a9cuPv/8c6KjoykvLyc2NpZ33nmnX+fMzs4mPz+fBQsWnLJSbbVamT9/PkuWLOl0e3JyMhaLhcWLF590THp6OkuWLKG8vPy0FfbjTTOO6PF9hRgo1tV/BsVGqOlqgkecq3Y44jQc/eC+NhkFOk9H8deFgdHnPw5aPY27PqVx31eqxXHRMBNfXZXJqNAotlYf4YIPX2B95X7V4hHCX/R52/ru1NTUYDabnR/l5eWUlJRgNpu7rFArikJqairJycl89tlnrg6nk2XLlmEymbpM1OfNm0deXh7p6eknfc1gMJCXl4dGoyEmJqZXFXEhPEXzkfXUb2tfbBx93sD3oYrec4zvG+LDlfDGVjt1zTYigl3+68jjBRjOIOLMe6jd8BJV3z5GcNrnqr07NSV6GKuueYCrl7/MD9ZDXPrJP3hn9s+4bPgZqsQjhD/o00+99evXd0qyj0+6T9RdhcNkMjk/4uLiSEhI6EsovZKfn4/R2PWGJCaTibKyMqxWKwaDwdlb7piK4rhPYWGhJOHCK1V99ycAwibOI3DwNHWDET3iWLQ4uGMRoy8JD9ITGqCjodXGkbpmv0zCAQxnP0rdpn/RfGAVjbsLCR03R7VYRoUZ+PKqTG7+/F98caicq5Yv4X+X3sENY89ULSYhfFmvf+rpdCcvDuoq0TYYDJhMJmbOnElcXFynpFutmeAlJSXMnTu3y685km3HCwlHL/jxSbjFYhmQFwtCuFrTgW9p3PkxaHREn/tHtcMRPVRR196OMtgHK+HQPiFlV1Ujh+uaiRsUpnY4qtCHjyBiWgY1656j6rs/ETI2RdW1GoagED5KuYfbv3yDd/f8QNrKf7P4gjR+Nv5s1WISwlf1OglXFAWNRkNUVNRJ1WzH3z1t3KCDo8p9KmazmdTUVBYsWEBycrLzdseCz+zsgd1cQYj+UhQFy6rfAxAx5S4ComXBsLc4Wu9oR/G9Sji0t6Tsqmr028WZDoakR6jduISWwyU0mD8kLO5aVeMJ1gew9LI7uPfbt3h1+1ru+WYZ1uZGHjrzElXjEsLX9On9v9jYWFJTU5kzZw6zZs1ydUyqcCTnFkv7qvCFCxd2Gl1YXFxMaWlpp8r4qZw49SUoKIigIN+sZgnP1ri7kOb936DRBWE457dqhyN6wVkJD/PNnx3+PiHFQRc6hMjpmVSXPIX1u8cJNV2t+vx+vVbHkgvSMAaF8MwPX/Kb4g+obG7gLwlXyFQl4ZWam5tpbj72s8YV0/n6q09JeEFBAZWVlSxfvpwFCxag0WhITk4mJSXFp5Ly/vR+jx49utPnjz32GH/605/6GZUQvaMoClXftrefREy7F33E6NMcITyJL/eEw7EFp4f9cMOeE0XN/DU1G/JoObqBhu1vEzYhVe2Q0Gg0ZM+8hpigMH5b+jGLNqygsrmeF869CZ1WNvkS3mXRokU8/rhnDSXoUxI+ffp0AGbPPrbRx4oVK1i+fDlPPvkkVVVVvU7K77vvPl588cW+hOMSjskt3S3c7K29e/cSGRnp/Fyq4EINDeYPaTlShiYgDEOSLCj2NhX17ZVwX5yOAlIJP54u2EjUjAexrvkrVav/TOgZN6LRqr9Bk0ajIWvaLKKDQrn/27dY/ONqqpobee3iWwnU+ediWuGdFi5cyMMPP+z8vKam5qSC6UDr9TPo+D7p482ePbtHSfnMmTM7JacA1dXVLF68WNUk3NUiIyNPepxCDCRFUbCu/gsAkWfdjy50sMoRid5os9mxNLRvIz44zLcr4Uc7Xmz4u6iEX1KzPpdWy1bqty0lfNJtaofklD7xXKIDQ7jjq/+Sv+t7rC2NvDXrTsICfPMFovA9ntgW3Ov3k5YvX96j+82ePZsnn3yS5cuXU1xczNy5cyktLSU1NZWkpCTuu+8+3n77bXbt2tWrTXD6w2QydTlGEY71gve05/t0kpKSiI+PJzc31yXnE6K3Gswf0lKxHk1AGFGJD6kdjuglR2Kq0UCMjybhgzoel6P33d9pg6KISmyv1FWt/iuKvU3liDpLiz2L95PvJlQfQOGBbVz+2WKqWxrVDkuIXsnNzSU+Pp6kpCS1Qxm4HTNnzJjBI4884kzK09PTKS8vJzk5ucudKt0hISGh2y3tHcm5q0YQFhcXs3nzZjIzM11yPiF646QqeMgglSMSveVoRTGGBKDT+uZCOEeFv6Je2lEcIqdnog0ZTJt1B3Vb/qN2OCeZM3IihZffS3RgCN9V7Cbl0zwqm+rVDkuIHsvMzGTz5s0UFxerHcrAb1vv4EjKd+zY0amNxZ1SUlK6rYQ7XhAI4QukCu79HNVhX+0Hh2MLTqUSfow2MBzDzN8AYF39BIqtVeWITnbukLGsuPI+BgWFUVq5j9mfvsThxlq1wxLC63jE8uaBmr09d+5cLBZLl4l4QUEBGRkZAxKHEO4kVXDf4OuTUeDY6MXKhhbs9q53V/ZHEWfdiy50KG21u6nb+oba4XTpLOMIVl51H8NDItlYdZDLPvkH++ur1Q5LCK/iEUl4QkJCt9vb95bVanX2d5/IYDCwZMmSk3rQCwoKMJlMpKa6biSU9IQLtTTu/Eiq4D7A0Y7iqzPC4VhPuF0BS6NUwx20+hBnb7h1bbbH9YY7xBuG8cVV9zMmzMCP1RVc+sk/2FXb9e9fITyFJ/WEe8x8odLS0j4fm5OTQ3FxMWaz2fmRkpKCwWBg3rx5nZLr1NRUDAYDWVlZxMXFOXvECwsL+/sQOikuLpbpKGLAKYpClVTBfUKFH1TCA/VaooL1VDe1UVHXwiAffsHRWxHT0rGWPEVbdTl1P75JxOSfqB1Sl86IHMQXV91Pyqd5lNdWcsnHuRRdcS/jo2Qak/BMmZmZZGZmUlNTQ1RUlKqxeEwSPmPGjD4f29tNdZKTk6X/W/ikxp0f0XJknVTBfYCzEu7DPeHQ/viqm9pkTOEJtAFhRCX8iqpVv6d67ZOET7zVI+aGd2VsuNGZiG+tPsKln/yD5ZdnMCV6mNqhCeHRPKIdRQjRf1IF9y3OSriPjid0ODYhRZLwE0WedR/aoGhaq7ZRv71A7XBOaURoFCuvvI9p0cM51FjLrE9eZF3lfrXDEsKjSRIuhI+QKrhv8YfpKHD8hBQZU3gibWAEkQkPAmBduwhFsasc0akNCYlgxZX3MXPQKI4215P86UusrdijdlhCeKweJ+H33nsvu3btcmMo3du1axf33XefKtfuK1mYKQaSoihY1ywC2qtnUgX3fsfaUXy7Eu7oA5dKeNciz8pEExhJa+VmGna8q3Y4p2UMCmX55RlcMGQc1pZGLv9ssSTiwqN40sLMHifhL730Eunp6axcudKd8ZxkxYoVZGRkeN2W9rJZjxhITXtX0ny4GI0umKiEX6kdjnCBI37SjiK7Zp6aLthA1IxfAGBd8zeXTRJzp6jAED6eM5+Lh5qoaW3i8s8Ws6Zit9phCQF48WY9y5cv58UXX+S+++6jtta9g/lramq49957Wbx4MZ999plbryWEt7MWt8/aj5j6c3ShQ1SORvRXm82OpaF9kxafb0fpSMJlYWb3Imc8iCYgnJajG2gwf6h2OD0SHhDEByk/dybiV3y2RBJxIU7Q657wZcuWMWPGDMaOHcvChQvZvdu1T6pdu3bx6KOPEhsby8yZM1m6dKlLzy+Er2k6uIamvStBqycqQXrBfUFlRwKu0UCMj1fCpSf89HTBRiLPam/JtK55wiuq4dCeiH94QiK++ogk4kI49GlhZnp6Ojt37sRutxMbG0tSUhJPP/0069ev71MQ69ev5+mnn2bOnDnExcVRXV2N2Wzmnnvu6dP5hPAn1cVPAhA+6Xb0kWNUjka4gqMVxRgSgE6rUTka95LpKD0TlfArNPpQWo6U0bjLe94dDutIxC8Z1pGIL18sibgQHfo8JzwqKors7Gx++9vfsnTpUhYvXsyCBQvQaDSYTCYSEhIwGo0YDAZiYmKcx1VWVjp3tSwrK3NuIT9jxgwyMjLIz89XfXi6KyQlJaHT6ZxD4YVwh5aKDTSYPwI0GJIeUTsc4SL+MhkFjs1Bl57wU9OFDiZiWjo1Zc9SXfIUobFXqB1Sj4UFBPFB8s+5tuiffHnIzBXLF/PpnHTOHTJW7dCEH8rNzSU3NxebzaZ2KGgUF76vVV1dTWFhIUVFRc6dKy0Wi3NXSgeTyeT8SElJITk52ScSb8C5A1N1dbXsmCnc7sgnd1D/41LCxqcy5Or/qh2OcJGl6/dz63/KuNhk5Iv7L1A7HLfabWkg9m8rCNRpaXzyKjQa367890db7T72vjoR7K0Mn/slwSPOUzukXqlvbea6olf44lA5EQFBfDJnPucNGad2WMJPeUK+5tIdM6OiokhNTe20TbwQwj1arTuo35YPQFRS73aNFZ7tSEdVeLAfbOPu6AlvsdmpbW4jMjhA5Yg8lz5iFOGTf0LdplepLnmK4OveVjukXgkLCOL95Lu5vugVVh4q58rlSyQRF35NNusRwktZS54GxU5I7FUEDZmudjjChZy7Zfr4jHCA0EA9oQHt27FLS8rpRSU+DGhoMH9Iy9Ef1A6n18ICgngv+W4uGxZHbWszVy6XqSnCf0kSLoQXaqvdR93m1wEwJGWpHI1wtWMb9fh+JRyOm5AiizNPK9A4kdAzbgCguvQZdYPpo7CAIN5P+XmnRLzs6D61wxJiwEkSLoQXqi57FuytBI+82Ov6QsXpHXW2o/h+JRyOm5AiYwp7xDCzfRF23dY3aa3xzipyqD6Q95Lv5oIh46huaZ+a8kPVQbXDEmJA9ToJX7duHUajEb1ezzPPeOer8IEg29YLd7E1HqV248sARJ0tVXBfdMSP2lHguAkpUgnvkaBhMwkePQsUGzVlz6odTp+1jy+8h7MHjaayuYGUT/PYaj2idljCx3nltvUOjz76KHPnzsVut/O3v/3NHTH5BNm2XrhLzfcvorQ1EDgkgZAxyWqHI9zAkYz6w4hCkK3r+8LQsRi79odXsDVUqBxN30UGBvPxnPlMN47gSFMdKZ+9RHnNUbXDEj7Ma7etd3jppZd45JFHePLJJ7v8+sKFC/sVlBCia/bWBmq+fxFoX6Al49x8k6MtY5CftKM4k/B6aUfpqeDRlxE4NBGlrZGa9S+oHU6/RAeF8tnlGUwxDOVAQw3Jn77E7jqL2mEJ4Xa9TsIrKyupra0lOzub+fPnd3mfnJycfgcmhDhZ3ebXsTceRR85jrDxN6kdjnADm12hqrF923q/6QnvaLs5KpXwHtNoNM7e8JrvX8TeUqtyRP0zKDiM5ZdnMCFyMHvqraR8msf++mq1wxLCrXqdhKenpzNu3DieeeYZPv/88y7v48L9f4QQHRS7rX1BJhCZ8Es0WpeO+RcewtrYir3jR6gx1E+S8DDpCe+L0LjrCYgej73ZSu3GJWqH02/DQiMpuuJeTBExlNdWkvLZSxxu9O4XF0KcSq9/i6enp2O1WnnkkUecb4U7tqk/++yzmTFjhrxFLoQbNJS/S1t1OdpgIxFT7lI7HOEmlQ3tiWhksJ5AvX8MsHJWwiUJ7xWNVkfUzEc4WphO9bq/Ezn9F2h03v3CbWRYFEVXZHDpx//gx+oK5nyax4or72NQcJjaoQnhcn36Cb9gwQKWL1/OTTfdhKIolJeXk5+fz4IFC0hJSQEgJiaGyy+/nIULF/L222+za9cuV8YthF9RFIXqkv8DIHJaBtoA+YXkqxyJaIyfVMFBRhT2R/jEW9GFDsNWt5+6bcvUDsclxoYbKbziXoaHRPKD9RBXLl9MdUuj2mEJ4XJ9LrMkJyeTn5+P3W6ntLSU7Oxsbr75ZmJjY1EUhaqqKgoLC8nJySEtLY24uDh0Oh1JSUmSmAvRS037v6H5cDEaXRCRZ92vdjjCjRxJuL8sygQZUdgfGn0QkdPbfybUlD7rM+2gZ0QOouiKexkcHEZZ5X5uKHqVxrZWtcMSwqVc0lQ6Y8YMZsyY4fxcq9VSWlpKSUmJ88+ysjIASktLKS0t7dSykpCQQHJyMikpKcyaNcsVIakuKSkJnU5HZmamjCkU/ebYGS988h3owoaqHI1wp0pnJTxA5UgGjqMSXt9io7HVRkjHNvaiZyKmpWNd+yQtRzfQtHclIWN84/foJMMQPpmTzqxPXuSrw2bSVv6bt2fdRaBO1sOIvsvNzSU3NxebzaZ2KGgUN7xs1ul0XT64nTt3UlZWRnFxMWVlZZSUlGC1WtsDOS4pz8jIICMjg7POOsvVobldTU0NUVFRVFdXExkZqXY4wge0VG5m/+vTAQ2j7txIQPQEtUMSbvTUyh1kfbSFnySM5LXbEtQOZ0AoikLwox/RalPY9bvZjIkOVTskr3N05S+p/f5FQsZdwbAb3lc7HJf6+pCZK5cvodHWyrzY6bx+8W3otP6xXkK4jyfka275Lo6Kiury9tjYWG6++WaefPJJli9fjsVioaqqivz8fB555BFmz55NVFQUL730EgkJCdxyyy3U1srKaOHfHBNRQuOulQTcD1Q2tL/lHuNH7SgajcbZA+94/KJ3omY8CGho3PUpLZWb1A7HpS4aZiJ/1k/Ra7Qs3bmeX6x+22faboR/c0sSbrH0fMh+VFTUSYl5eXk5L774IhaLhXHjxrF79253hCmEx2urP0jd1v8CEJX4a5WjEQPBuTDTj5JwOLYQtVL6wvskwBBH6BnXA1Bd9pzK0bjelaMm89rFt6FBw+IfV/O70k/UDkmIfvPI93NiY2NJT09n+fLlLF26lPT0dLVDEkIVNeteAFsLQcPPI3jEeWqHIwaApWNE4SA/mo4CxxaiOkY0it6LSngIgLqt/6Wt/pDK0bjePNN0Xjz/ZgCyN35Ozoau9yoRwlt4ZBIOsH79et555x2Sk5O7bW8RwpfZW+udG3BEJT6scjRioPhtJTysfSGqzArvu+AR5xE07BywtVD7/Ytqh+MW8yeeS/bMqwFYWPoxeVu/UzkiIfrOY5PwWbNmkZqaytNPP011tWxdK/xP3eb/YG+2oo+KIzTuWrXDEQOk0g9HFMKx3UEr66UnvD+iEtur4TUb8rC3NqgcjXv8ZuplPDqtfQJM5ndv86Z5ncoRCdE3HpuEp6WloSgKWVlZZGRkqB2OEANKUezUrP87AJEzfoFG47FPVeFi/rhZDxyr/Es7Sv+Exl2PPsqEvclC3ebX1A7Hbf6acCX3TjoPBYU7v/ofH+/donZIQvSax/5mz8vLo7S0lB07dnDTTTepHY4QA6px13Jaq7ahCYwkIv6naocjBojdrjiTUH+rhDtedFgkCe8XjVZH5IwHAKhe9zyKXf1ZyO6g0Wj4+7k3cotpBm2KnXlfvMbqIzLEQXgXj03CoX0ToNjYWLXD6JOkpCTi4+PJzc1VOxThhWrWtVfBI868G21ghMrRiIFS3dSKvWPymqNH2l84XnRIT3j/RcTfiTYomjbrDhrMH6odjttoNVr+ddEtXD5yIg1trVxb9E+2Wo+oHZbwcLm5ucTHx5OUlKR2KJ6dhHuz4uJiNm/eLLtlil5rqdxE455C0GiJPOs+tcMRA8iRgIYH6QjS+9eukY4dQmVEYf9pA8OJmHoPADXrX1A5GvcK0OpYdtlPSRo0GktzA1cuX8z+ellHJrqXmZnJ5s2bKS4uVjsUScKF8DQ169p/aYbGXUdAlHe+EyT6xrFRjb+NJ4Tje8JlYaYrRJ51L2h0NO37kpaKDWqH41bhAUF8kPJzJkQOZk+9lauWL6Gq2TcXpQrfIkm4EB7E1niUui1vAI4d8IQ/8dfxhHDcZj3SE+4S+ojRhJ1xIwDV632/LXJwcDifzJnP8JBIfrAe4sYVr9LYJi/ohGeTJFwID1K78WUUWxOBQ2YQNOICtcMRA8xfxxPCscdc09RGq82ucjS+IXLGLwCo3/o/bI1HVY7G/cZFGPl4zj1EBgTz9eGd3P7lG9js8r0kPJck4UJ4CMXWQs33LwEQOeMBNBqNyhGJgeav4wkBDCEBOL7lpS/cNYKGn0fgkAQUWxO1G/+pdjgDYppxBO8m/4wgnZ739vxA5ndvoyiK2mEJ0SVJwoXwEPXb38JWfwBd6DDCJ8xVOxyhAkcrhj+2o+i0GqJDOhZnSl+4S2g0GiKntw8HqNnwEorNP/5dLxkWx+sX34YGDUu2rebP65erHZIQXZIkXAgPoCgK1eueByDirHvR6PwvCRPHKuH+2I4Cx/WFSyXcZcInzEUbOgRb3X7qy99VO5wBc/O4abxwXntP/J/XF/LS1m9VjkiIk0kSLoQHaD64mpbDpWh0QUROna92OEIllX7cjgKya6Y7aPTHfqY4Ji/5i3snnc8fpqcA8Ivv3uGd3RtVjkiIziQJF8ID1HRUwcMm3YYudLDK0Qi1+OtumQ6DZEKKW0RMSwdtAM0Hv6P5cKna4Qyox6bPYf6Ec1FQ+MmXb8iumsKjSBIuhMra6vZTv+NdAKKmy+ZO/uzYiEL/2i3TwfG4ZddM19KHDSdsQirg+5v3nEij0fDCeTdy1ajJNNnauL7oFXbU+P6kGOEdJAkXQmW1G5eAYiN45EUEDp6mdjhCRc7Nevy0Em509oT7xwLCgRQ1/QEA6n5cRlv9IZWjGVh6rY7/XfoTEmNGcbS5nquXv8zRpnq1wxJCknAh1KTYWpyjwyLOulflaISaFEWRnnDpCXeboGEzCRp2Dthb21/4+5nwgCDeT76bseHR7Kg9yg1Fr8hmPkJ1koQLoaL67W9jaziMLmw4YXE3qB2OUFFNUxtt9vZ5xv44ohCOvQNgkSTcLRyb99RuWIxi879/42GhkXyUcg+GwBC+q9jNHV/9VzbzEaqSJNxNkpKSiI+PJzfX97cLFn1Xs6F9c56Iqfeg0flnH7Bo5+iDDg3QERKgUzkadcSESk+4O4WdcRO6sBHYGg5Tv/1ttcNRxWTDUN6efReBWh3v7N7IgpIP1Q5JDLDc3Fzi4+NJSkpSOxRJwt2luLiYzZs3k5kpC+1E15qPrKf5wLeg1RMx9R61wxEq8/cZ4SBzwt1NowsgYurPAajZkKdyNOq5ZFgc/7xwHgDPbvqKv2/+WuWIxEDKzMxk8+bNFBcXqx2KJOFCqMVRBQ8740b0YcNVjkaozd/HE8LxPeHSq+suEWf+HLR6mg+soqVig9rhqOa2uAT+lngVAA+teZ93d/+gckTCH0kSLoQKbE1V1G/9HwCRZ92vcjTCE/j7eEI4Vgm3NLRg7+iPF66lDx9BWNz1ANRsWKxyNOpaMPUy0ie2zxC//cv/yAxxMeAkCRdCBXWb/43S1kjgoKkEjThf7XCEBzhWCQ9SORL1OF6A2BWobpJquLtETGufxFS39Q3szTUqR6MejUbD38+9kStHTXLOEC+XGeJiAEkSLsQAUxQ7Nd+392NGnHU/Go1G5YiEJ3BUwo2h/lsJD9LrCA9qX5QqizPdJ3jUxQQYJ6G01lO39Q21w1GVXqvjzUvvICFmJEeb67mu6BWszY1qhyX8hCThQgywxl3LaasuRxsYRfikW9QOR3gIxwY1/twTDsctzpS+cLfRaDREdlTDa75/CUXx79af8IAg3ku+m1GhUWytPsLcla/RarepHZbwA5KECzHAHAsyw6fciTYgTOVohKdwzMY2+ulGPQ4yIWVghE++HU1AGK2WLTTt+0rtcFQ3IjSK95LvJkwfyIqD23ngu3f8/sWJcD9JwoUYQK3VZhp3fgJA5LQMlaMRnsTSUfmN8eN2FDj2ToDsmule2qAowifdBkBtR2HA302PGckbl9yOBg1Ltq3mORldKNxMknAhBlDthsWAQsjYOQREj1c7HOFBpBLeTrauHziOQkB9+Xu01R1QORrPcO2YKTyVdA0Av1n7AR/s2aRyRMKXSRIuxACxtzVRu+nfAESeda/K0QhP46iE+/PCTDj2+GVhpvsFDp5G0IgLwN5G7Q+vqB2Ox/jVlIuZP8ExuvAN1lfuVzsk4aMkCT+FnJwccnJyyMjIICUlBbPZrHZIwos17HgHe1MluojRhIy7Uu1whIexNEolHI7vCZeFmQPBUQ2v3fgyik3+zaFjdOF5NzJ7xHjq21q4vugVDjb47yhH4T6ShHcjKyuL9PR0FixYQF5eHhkZGcTFxUkiLvqsduPLAERM+RkarU7laIQnaWmzU9fcPo3B3yvhjnYUi7SjDIiwM25EGzoEW/0BGnZ+qHY4HiNAq2PZpT9lUtQQ9jVUc8OKV2hok+9J4VqShHejqKgIi8Xi/Dw1NRWDwUBeXp6KUQlv1VK5mab9X4NGR8SZP1M7HOFhqhrbK5AaDUQF+3cS7lyYKe0oA0KjDyJiSvvPJMf+BaKdISiE95PvJiYolJKj+7jzq/9hV+xqhyV8iCThXbBarZjN5pOq3kajEavVqk5QwqvVbvwnAKGxV6EPH6lyNMLTOKq+huAAdFr/3rzJMR3mqFTCB0zk1Pmg0dK093NaLD+qHY5HiYscxNuzf0agVsfbuzfyh7JP1Q5J+BC92gG4ktVqJSsrC4PBQHZ2drf3KyoqorCwkLi4OGdSvWDBAufXDQYDVVVVJx1nNptJTEx0edzCt9nbGqnb8joAEVPnqxyN8ESyKPMYRztKlWzWM2D0kWMIGXcFjTs/pm7TqxgvelLtkDzKhUNjWXLhXO786n88ueFzJkYN4adnzFQ7LOEDfCIJz8rKwmw2k5SURFFREcnJyd3et6CggKVLl5Kfn++8raioiJSUFAoLC7s9bvHixZhMJtLT010au/B99dsKsDdb0UeMJWRsitrhCA8k4wmPiQ5pfyFikSR8QEVOvYfGnR9Tu/k1os97HI0+SO2QPMpP4hLZVl3BE98XkbEqnwmRgzl3yFi1wxJezifaUbKzs8nPz2fBggUYDIZu72e1Wpk/fz5LlizpdHtycjIWi4XFixd3e1xWVtYpk3QhuuNckDn1blmQKboklfBjHC9EGlptNLfJ1uEDJWTcFejCR2JvPEp9+Xtqh+OR/jRjDtePOZMWu42bP/8X++ur1Q5JeDmfSMJ7atmyZZhMpi4T9Xnz5nW76HL+/PmsWLECk8nk5giFr2k5+gPNB78DrZ7wKXepHY7wUDKe8JjIID2OtnhpSRk4Gq2eiI6fUbU//FPdYDyUVqPltYtvZWr0cA411nLT56/S2Cbfo6Lv/CoJz8/Px2g0dvk1k8lEWVnZSQsvs7KyWLhwIQkJCQMQofA1jip4qOla9GHDVY5GeCpHJdzRiuHPtFoNBmlJUUV7oUBD096VtFZtVzscjxQeEMQ7s+9yTky5Z9UyFEVROyzhpfwqCS8pKem2mu24/fiJKAUFBaSkpHRKwLtrWRHiRPbWemq3/AfomD4gRDekHaUzxzsCjncIxMAIiBxLyLjLAWQHzVOIjYhh2WU/Ra/R8qZ5HTkbV6odkvBSfpWEW63WU/aMw7EkvKioiOLiYoxGI2VlZZSVlVFQUDAAUQpfUb8tH6WlBn2UieAxs9QOR3iwKlmY2YlRKuGqiTjz5wDUbn4NxSYvgrpz6fAzeO7cGwD4XeknfLBnk7oBCa/kE9NRXMGRnFssFqxWK2lpaVitVnJycjrdr6eLM2tqOm9xGxQURFCQrDb3J7Ub2hcAR5z5czQav3q9K3pJKuGdRXf8O0hP+MALjb0KXdhwbPUHaSh/n7AJqWqH5LHunXQ+G6sO8tLW7/jJl//l22seYEr0MLXDEt1obm6mubnZ+fmJeZoaJDPogmNOuKIoJ32cavzh8UaPHk1UVJTzY9GiRW6OWniS5iPraT5cDNoAIqbcqXY4wsPJiMLOpB1FPRpdAOEdP7NqZIHmaT17zg1cOiyOurZmbljxKpVN9WqHJLqxaNGiTnnZ6NGj1Q5JknAHx4LM7hZu9tbevXuprq52fixcuNAl5xXewbEgMyzuenShQ1SORng6x7b1UglvJ7PC1dW+jb2Gpj0raLWWqx2ORwvQ6lh62U8ZFx6NubaSW754nVa7jNb0RAsXLuyUl+3du1ftkCQJd5fIyMhOH9KK4j/srfXU/fg/ACKmyYJMcXrSjtKZtKOoKyAq1rmxmCzQPL1BwWG8O/tuwvVBfH5wB79Z+4HaIYkuBAUFnZSbqc2vknCTydRp+snxLBaL8z6ukJSURHx8PLm5uS45n/Ae9dvfQmmpbV+QOeoStcMRHs5mV7A2dSThIdKOAsdejDjeIRADL2KqY4Hmv2WBZg9MNQ7ntYtvBeCFLd/w8rY1KkckupObm0t8fDxJSUlqh+JfSXhCQsJJc8AdHMm5q+aBFxcXs3nzZjIzM11yPuE9ajf9C4CIKXfKgkxxWtVNrTjGDEdLJRw49mLE0SsvBl5o7DXoQodibzhCg/lDtcPxCtePPZM/z7gCgAe+e5vVR3arHJHoSmZmJps3b6a4uFjtUPwrCU9JSem2El5eXt7jRZdCdKe1ahvN+78BjZbw+J+qHY7wAo5WlIggPQE6v/qR3C1pR1Hf8Qs0azfKAs2e+u1Zs7lx7FRa7DbSVv6bQw3qT+AQnsuvfuLPnTsXi8XSZSJeUFBARkaGClEJX+KogoeMvRx9+Eh1gxFe4dhkFKmCOzj+LSzSjqKqiDPvBqBxTxGtNVLV7QmNRsOrF81jctQQDjTUMO+L12mxtakdlvBQPpeEW61WZ3/3iQwGA0uWLCErK6vT7QUFBZhMJlJTXTcPVXrC/Y9ib6Nuc/sOmRFn3qVuMMJryKLMk0k7imcIiDIRPPoyQKFu8+tqh+M1IgKCeWv2XUQGBPPN4Z38plgWanoST+oJ94nNenJyciguLsZsNjs/UlJSMBgMzJs3r1NynZqaisFgICsri7i4OGePeE834emp4uJij1h5KwZOw85PsDUcQhsymNDYq9UOR3gJmRF+MscLEmtjK3a7glarUTki/xUx5U6a9q6kbvNrGM75raxz6aGJUUN47eJbuWHFq+RuWUVCzCjuGq9+0ifae8IzMzOpqakhKipK1Vh8IglfsGBBr+6fnJws/d/C5eo2tY/yCp/8EzQ6SahEzzgr4SFSCXdw9ITbFahpbsMg/zaqCT3jRrSBv6StZhdN+74kZPRlaofkNa4dM4XHps/h8fXLuf+7tzgzehgzB6m/QYzwHPKSVggXaKs/SMPOTwFpRRG940jCo6US7hSk1xEaoAOkJUVtWn0IYRPnAcfWvIie+/30ZK4ZHU+zrY3Uz/9NRVOd2iEJDyJJuBAuULf5dVBsBA0/j0DjZLXDEV7EsTW79IR3JrPCPUfElLsAaNj+DrYmq6qxeButRstrF9/KhMjB7K23csvK12mTHTVFB0nC3UQWZvoPRVGOzQY/82fqBiO8TpVzYaZUwo/naEmRrevVFzg0kYCYKSi2Juq3LVM7HK8TFRjCW7PvJFwfxBeHyskq+UjtkPyaJy3MlCTcTWSzHv/RtP8b2qw70ASEEzbedRN2hH+QEYVdkwkpnkOj0Tir4bWbXlU3GC8VbxjGqxfdAsCzm77iv+VlKkfkv2SzHiF8SF3HL6WwCWloA8NVjkZ4GxlR2DWjVMI9Svik20Crp+VwKS0VG9QOxyvdNG4qC6fNBiB9VT7rK/erHJFQmyThQvSDvbma+u1vARAxRVpRRO85K+Eh0o5yPIP0hHsUXehgQk3XAFC7+TWVo/Fej8+4nMtHTqTR1srNn/8LS3OD2iEJFUkSLkQ/1P24DKWtkQDjJIKGn6N2OMILSSW8a9KO4nkcLSl1W95Ascn/S1/otFreuOR2YsON7Kqr4s6v/oddsasdllCJJOFuIgsz/YOjPzJiys/QaGRDEdE7iqI4t2aXhZmdSTuK5wkZOwdd2AjsTZU0mD9UOxyvFR0USv6sOwnS6fl43xayN6xUOyS/Igsz/YAszPR9LZWbaDlcAlo94ZNvVzsc4YVqm9uw2RXg2DQQ0S465NiumcIzaLR6wuN/AkDtpn+rHI13mxEzkhfOvQmAP677lKID21SOyH/IwkwhfEDd5tcBCB13BbrQISpHI7yRo8obEqAlpGNzGtHO8c6AtKN4loj4OwFo3P0ZbXWysLA/7p5wNj8bfzZ2ReH2L95gX71V7ZDEAJMkXIg+UOxt1G39HwDh8T9VORrhrY6NJ5RWlBNJO4pnCogeT9DIC0GxU7f5P2qH4/X+fu6NTDeO4GhzPbesfJ0WW5vaIYkBJEm4EH3QuGcFtvqDaINjCI29Su1whJeSRZndkx0zPVdE/F0A1G7+N4qiqBuMlwvRB5A/606iAoP5rmI3C4ql196fSBIuRB84WlHCJ85Do5MqpugbRxLu6H8Wx0TLdBSPFTb+JjQB4bRZd9B88Du1w/F6pogY/nXRrQD8fcs3vGlep3JEYqBIEu4mMh3Fd9marDSUvwdAePwdKkcjvFlVY3uCKUn4yRyV8MZWO02tNpWjEcfTBoYTNr59UaGjICH657oxU3h02iygfSOfLdbDKkfku2Q6ih+Q6Si+q357AYqtmYCYeAKHJKgdjvBijlaLaNmo5ySRwXp02vaxn9KS4nnCJ7dPSanfVoC9rVHlaHzD4zMu57JhcdS3tZD6+b+pbW1SOySfJNNRhPBizlaUyXfIbHDRL1Ud7SgG6Qk/iUajwRCsB2RxpicKHnUxuogx2FuqZWa4i+i1Ot649CeMCI1ka/UR0lcVSM+9j5MkXIheaK3a3t4DqdESPvk2tcMRXs7a1JGEB0sS3hUZU+i5NMf9DJQpKa4zNCSCNy+9A71Gy7Kd68ndskrtkIQbSRIuRC/UbmmvgoeMnYM+bLjK0QhvZ3UszJRKeJdkQopni+hoSWncvZy2+kMqR+M7LhgaS07SNQD8eu37rD6yW+WIhLtIEi5EDymKnbot/wWO9UMK0R+OSrgszOya499F2lE8U0D0BIKGnQOKjfofl6odjk95MP4iUsdNo02xc9uX/8HS3KB2SMINJAkXooea9n2JrXYP2sAoQuOuUzsc4QOcPeGShHdJ2lE8n6MgIVNSXEuj0bD4gjTiImLYXVfF3V8vlf5wHyRJuBA95PglEzYhDa0+WOVohC84Nh1FkvCuRMuumR4vbGIa6AJpObqB5orv1Q7Hp0QFhvDmpXcQqNXxwd5NPLf5a7VDEi4mSbibyJxw32JvqaV++9uAbFMvXMfaKJXwU3G8OJGecM+lCzYSGns1AHVb3lA5Gt+TMGgU/3d2+zuvWcUfsqZC+sP7S+aE+wGZE+5b6re/g9LWgN5wBkHDz1E7HOEDFEXB2tQGSCW8O45KeLUk4R4tomPTsvqt/0Oxt6kcje+5d9L5zv7wW7/4D1XSH94vMidcCC9T1zEVJSJeZoML16htbsNmb+/xlOkoXXOMbpRKuGcLGXs52pDB2BoO07i7SO1wfI6jP9zk6A//RvrDfYUk4UKcRmvNbpr2fQloCJ90u9rhCB/haEUJ1GkJ1suP4q442nSskoR7NI0ugPCJtwDHChbCtY7vD39/zyael/5wnyA/+YU4jfqtbwIQPOoS9JFjVI5G+ArnoszQAHl3pRvRkoR7jfD49ikpDeXvY2uyqhuMj0ocNIpnHP3hJR+xtmKPyhGJ/pIkXIhTUBSFuq3ti41kh0zhSlaZjHJaBlmY6TUCB08nICYexdZM/fa31A7HZ9036XxuHjeNVruNW754XfrDvZwk4UKcQkvFelotW9Hoggg740a1wxE+pEomo5yWVMK9h0ajIXxy+wLNui2yjb27aDQalkh/uM+QJFyIU6jb+j8AQk3XoA2KUjka4UscG/VIJbx7jhcoTW12mlptKkcjTid80q2g+f/t3X94W/V9L/D3kWXLtuxYdgiQhJBEDgmklIIcUwKF/kAq/UFLC3bSrtvt1g27bfase/bDur59bjtu98yTt/5c017bu7vrbruWWJSWFQpIYRQov+wIWEsKJJIDIQkQYp84tmXZks79Qz7HdmzZ+v3VOef9eh49EFk6+sTOsT7nq8/387EgdvLXmJXDosMxLNaHGweTcKI0lOT8KGb75SxFocJSR9ZzJTy9epsVark8V8PLn7VuA2o23QwAmHj5J4KjMTbWhxsDk/Ai4bAe/Zt+/VEkJk/BUt2E2i23iA6HDIYj61dnsUham0L1ooXKm/3yVJeUyZd+zDKJIltYH/57j/4QZ2eiokPSBQ7rMQEO69G/id/9OwDAflkbpIoqwdGQ0XBkfWa0zZkcXa8L9m2fgFRRjdmxVzDz1nOiwzE0SZLQf307Ntc1YmRiFF986qe88MkAh/UQlbnk7BQmj94LgF1RqDjOcmNmRhw1VgAsR9ELS1U9ap23ApjfU0PF47DV4Efv/QwqJAt+EnkOPzg6LDokygKTcKJlTEV+AWV2AtY1W2Bbv1t0OGRAXAnPTGNN6lMoeZrj0PXCfvmnAQCTrxyAkuSG2mLbfeEW3HVNqmTyz56+Fy+ffUtwRJQpJuFEy5h4KVWKUnf5pzlIhYpCXjCsh9JTV8JZjqIftVtugaW6CYnJU5h+/VHR4ZhC1zvfjw+s34bJ+Aw+8+iPEEvwolUPmIQTnScxdRrRVx8GML+iQ1RoWp/waibhK3FoK+FMwvVCqqiC/bI7ALAkpVQqLBb84KZP4wKbHc+NnkD38P2iQ6IMMAknOs/kET+QjKPqQheqmi4XHQ4Z1BhXwjPCmnB9qlNLUo7ei2ScXTtKYUNtA/7lxr0AgG8ffhz3Hz8sOCJaDZNwovOoXVHq2BucikjmSnhGOLpen2wbrkdF/aVQZs4hGuGqbKl8dNNO/NnOGwEAn3v8bpycOis4IloJk3CiBWblMGJvPANIFth37BEdDhlULJ5AdDYJgCvhq1E3rp5lEq4rkmRB3Y7UqiwH95TW3+/6KK5u2oC3Y5P47GM/RiKZFB0SpcEknGgBtX6xZtPNsNovFhwNGZW6yVCSgDU2q+BoyhtXwvWrbm5wz9SxB5GYHhMcjXnYKqz49/f9PmqtlXjk1FH8w2//U3RIlAaTcKI5iqJoXVHsV3BDJhWPusmwoboSFgu776xEm5jJJFx3qi54JyovuBJIzGDyyE9Fh2MqOxouxHeu+yQA4Cuhh/D0W68KjoiWwyScaM7Mm8OIy0chWWthb/6E6HDIwNSVcPYIX51arsMkXJ/qdsxt0GSXlJL7w22t+JTzGiSUJD7zqx9CjnGDbLlhEk40Z+KlVN1ibfPHYKmqExwNGZnMQT0ZU1fCWY6iT2pd+PSJxxA/d1xwNOYiSRK+t/t2bK1rwrGJMXz+ST/H2pcZJuFEAJRkApOvDAIA6nZ8SnA0ZHRjHFmfsYUr4Uwg9Me65lJUb0x165h4+W7B0ZhPQ1UNfvS+z8AqWTB47AWOtS8zTMKLpLW1FTt37sT+/ftFh0IZmD7xOBJTb8Bia0TNZo/ocMjgOLI+c+qFSlIBJmIcga5H2hh7lqQI8e51m3GXKzXW/ktP/wzh8bcFRyTW/v37sXPnTrS2tooOhUl4sQwNDeHw4cPYt2+f6FAoA5MvHwAA1F72SUgVVYKjIaNTy1EamISvqtpqQVVF6q1qLDojOBrKhf2y2wFLJWbe/g1m3v6t6HBM6a+vfD9uusiJiXgMn33sx4gnzXtBu2/fPhw+fBhDQ0OiQ2ESTqQkZjB5NLVzv247e4NT8XElPHOSJC0oSYkLjoZyUVHdhNotHwLAMfaiVFgs+NebPoWGqmo8dfpV/N0LB0WHRGASToToaweRnB5FRe1FqL7kvaLDIRPgyPrsOKpTvdS5Eq5f9rme4ZOvcHOgKJvrmvDd624HAPztC0G2LSwDTMLJ9NTNQvbtbZAsFYKjITM4y5H1WVHrwrkSrl+1Wz8CyVqL+PgIZt7k5kBRfq/ZhU/PtS38g8f+Hedmp0WHZGpMwsnUkvEopsL3AQDs2/cKjobMQusTzpXwjDTWsFe43lkq7ah13goAmJjbg0NifPe623Gp3YHIuTP482d+LjocU2MSTqYWHXkAyuwErPWbYVv/btHhkEmoEzNZE54Zjq43BvuO1J6bySN+KEpScDTm5bDV4N9u+j1YJAn/emQI/mMviA7JtJiEk6mpKzL27W2QJI4Pp9JQV8LZJzwzDq6EG0Lt5lsgVa1BYuIEYiefFB2Oqd14sRPed34AAPD5X/vx+qQsNiCTYhJOppWMjSM68ksAgH0HS1GodNgdJTtaEj7NJFzPJKsN9ubbAAATc8PRSJyvXvNB7LrgEozNRPG5x+9Gkp9OlByTcDKtych9UBLTqGzcjqp17xIdDplEMqlgPJbaYMiV8MxoSfgUk3C9my9JuQdKkhttRaq0VOD/3fQZ1ForcfDUEXzrxcdEh2Q6TMLJtCZfTq3E2HfsZSkKlczZ6VmoHdq4Ep6ZRq6EG0bNpg/AUr0Wyam3MP06kz7Rtjesw9evTX068eVDv8QLoycFR2QuTMJXIMsy/H4/mpubRYdCBZaInkH0tQAAwM4BPVRCapu92soKVFn5KzgT2sZMroTrnlRRCfu2TwIAJl5hl5RycOf2d+Pjl74DM8kEfv9XP0I0zvOsVPgOkEYoFMKBA6lfEJFIRHA0VGiTR+8FknFUrbsaVU07RIdDJqIOnGEpSuZYE24saknK1JF7oSQ4gEk0SZLQf0M7Lq6px2H5TXQP3y86JNNgEp6Gy+VCR0cHXC6X6FCoCCbVrig7uApOpcVNmdljn3Bjqd54IypqL0YyNoboaxyfXg7WVdfhX25MTTX9p989gYMnjwiOyByYhJPpxCdOYvr1XwEA7NvbBUdDZqMmko4aq+BI9IN9wo1FslTAvv0OAMAkS1LKxi0bd+Dzl+8GAHzu8Z9AjkUFR2R8hnoXkGUZXq8XDocDPp8v7eOCwSACgQCam5shyzIAoKurq0RRkmiTR+4BoMC2fjcq12wWHQ6ZjFoTznKUzKkr4ROxBOKJJKwVXD/SO/v2dow/vx+T4fuwNj4Ni7VadEgEoHfXrQieOIKj597Gl575GX5w06dFh2RohkjCvV4vIpEIWltbEQwG4Xa70z7W7/fj7rvvxuDgfI/SYDAIj8eDQCBQinBJMJaikEhn5+qaG6qZhGeqoXr+rersdBxr7VUCo6FCsK2/DhX1m5A4dxzRYw/Cvu0TokMiAPZKG/71pk/hpgf244fhQ/j4pe/AHVuuEh2WYRliOcHn82FwcBBdXV1wOBxpHyfLMu68804MDAwsut/tdmN0dBT9/f1FjpREi4+/htgbzwCQYL/sdtHhkAmdnU6thDdwJTxj1goL6mwVAFiSYhSSZEHdXDngJAf3lJXdF27Rpml+4Uk/3pgaFxyRcRkiCc/UgQMH4HQ6l03U9+7di76+vtIHRSU1efSnAFIbg6z29YKjITNSa8IXru7S6rg503jUPTlTkfuRnJ0UHA0t9JWrPbi6aQPOxKbQ+aQfijrcgArKVEn44OAgmpqalv2a0+lEKBTSasTJmCZfuQcAtE1BRKU2znKUnHBzpvFUXeiCtaEZSnwKU5FfiA6HFqiqsOIHN30aVZYK/OL4YfzLkWdFh2RIpkrCh4eH4XQ6l/2aej97ghvXwlKU2rlhEUSlxu4ouXFUcyXcaCRJgn0HS1LK1ZWN6/G3rg8DAP7imfswcu6M4IiMx1RJuCzLK9aMA0uTcK6MG8d8Kcp7YLVfLDgaMiutJpwr4VlprGUSbkRqXfjUsQeRjLH2uNz8+Ttuwo0XbcVEPIY/evwnSCSTokMyFFMl4StRk/PR0VEAqWS8t7cXXq8XANDe3o7e3t6Mk/Lx8fFFt1gsVoywKQvzpShtgiMhM1O7o7BFYXbUlXCWoxhL5dorUdm4A0jMYGqEkxrLTYXFgv9746dQZ7Xh8TdH8O3Dj4kOKWexWGxJbiYak/A0nE4nurq6EAgEoChKRt1XFtq0aRMaGhq0W09PT3EDphXFzx1nKQqVBbVPODdmZqeBGzMNSZLmO1WlZjhQudlavxbfePfHAQBfPvRL/HbslOCIctPT07MoL9u0aZPokJiEq9QV7nQbN7N1/PhxnD17Vrt1d3cX5LiUm8kjLEWh8sA+4blRPzlQy3nIOOyXpTbKR489hOTMOcHR0HI+d9m1+OimKzCTTOCzj/0YMwn9nYfd3d2L8rLjx4+LDolJeLGsWbNm0c1ms4kOydQmX/EDmP9lTySCoihaEslylOyonxyc5Uq44VRe8E5YHdugJGKYGnlAdDi0DEmS0H99O9baavH86El87Xn9DTe02WxLcjPRTJWEO53OtN1P1FrwdN1TstXa2oqdO3di//79BTke5W5RKcplLEUhcSZnEkgkU/12WY6SHfWTA/WTBDKOVElKaoFE/dSSys/FtWvw/etTe6r+/jeP4Om3XhUcUW7279+PnTt3orW1VXQo5krCXS5X2o2VanLucrkK8lpDQ0M4fPgw9u3bV5DjUe4Wl6JwQA+JoyaQFRYJtVUVgqPRF20lnOUohqTWhUePPcjBPWXsji1X4TPNLiQVBZ974ieIxvV3Ubxv3z4cPnwYQ0NDokMxVxLu8XjSroSHw2G43e4SR0SloG72YSkKiaZuynRUWyFJkuBo9KWhhivhRla17uq5wT1RREd+KTocWsG33/0JrK9Zg5fPnsZXQg+KDkfXTJWE79mzB6Ojo8sm4n6/H52dnQKiomKKnzuO2KmnwVIUKgfapkzWg2dtviacK+FGlCpJSf2OZpeU8tZoq0XfDamylG+++BiefPOY2IB0zHBJuCzLWn33+RwOBwYGBrTe3yq/3w+n04m2tsL1j2ZNeHlgKQqVE3VToYOdUbLm4Eq44dkvS70HT438EsnZKcHR0Eo+umkn/tu2XVCQKkuZis+IDilj5VQTboidQb29vRgaGkIkEtFuHo8HDocDe/fuXZRct7W1weFwwOv1orm5WasRDwQKu9N3aGioLHbemh1LUaicyNPsEZ4rdWPmeCyOZFKBxcJyHqOpuvAaWNdsQXz8GKLHHtTqxKk8ffPa2xA8+QqOjL+N/xl6EF+/9uOiQ8rIvn37sG/fPoyPj6OhoUFoLIZ4J+jq6srq8W63m/XfJsBSFCo36ko4y1Gyp164KApwLhbn99CA1ME9Zw99A5NH7mESXuYcthr039COWwP/B99+8XF8cvM78Z6LtooOS1cMV45CpJo8ci8AwLbxBpaiUFmQp1mOkqvqygpUVaTesliSYlzqp5ZTIw8gGY8KjoZW8+FLrsAfXXYtFCj448fv1lVZSjlgEk6GpZai1F1WuFp/onyo7fXW1BjiQ8iSY5tC46u6aBcq6i+FMjuJ6LGHRIdDGfj6tR/DJbUNOHrubXz5EDvbZINJeJFwY6ZYqVKUp8BSFConWjkKV8JzwjaFxqeWpAAc3KMXDVU16H/PHgDAdw4/jsfeCAuOaGXltDGTSXiRcFiPWJNHfwaApShUXuZH1nMlPBeOuZVwmW0KDW2+JOV+JOPTgqOhTNyycQf+ePu7AQB//MQBTM7GBEeUHof1EBXZ1FwSbt/GjT1UPrgSnh+uhJuD7eJWVNRdAmXmHKKvFrZzGRXPP7Z+DJvsDkTOncH/YFlKRpiEk+EkJt/E9IknAAD2bbcJjoZonrYxk509csKBPeYgSZYFJSkc3KMXa6qq0X9DOwDgu797Ao+eOio4ovLHJJwMZzLyHwAUVF20C9b6TaLDIdKoySP7hOdmTTVXws1CTcKnIr+AEi/f0gZa7IMbd+DO7dcBAP7kiQOYKOOylHLAJLxIuDFTnPlSFG7IpPKija1nOUpO2B3FPGzrr0NF3UYoM+OIvhYUHQ5lobf1Vlxqd2BkYhT/ffh+0eEswY2ZJsCNmWIkpmVEjz8CgKUoVH5YjpKfBq6Em4YkWbSFFHZJ0Zc1VdUYmOuW8v2Xniy7shRuzCQqkqmRXwDJOCrXvgOVjdtFh0OkiSeSmIglALAcJVfqxYu6wZWMrXbbJwCkuqQoSX76oSfuDdvRsSNVltLx60EO8UmDSTgZynwpyieExkF0vvHYfBLBcpTcsBzFXKo33ABLzTokp0cxfeJx0eFQlny7bsUltQ0InzuDr4Y4eGk5TMLJMJKzk4geexgA68Gp/KibMmsqLaiy8ldvLtii0FwkSwVqnbcCmJ/9QPqxpqoa378+NbH6W4cfw7OnXxMcUfnhOwEZRvTYQ1AS07A2NKPygneKDodoEW7KzB9bFJqP+qnmVPg+KEpSbDCUtY9sugKfaXYhqSj4kyfuRizBc3chJuFFwu4opTd59F4AqQ2ZkiQJjoZoMTnKTZn54sZM86nZ9AFIVfVITJxA7I1h0eFQDr557W1YV23Hi/Kb6Pmvg6LDYXcUM2B3lNJS4jFMjTwAAKhlKQqVIbWOmZsyc6d+72Qm4aYhWW2o3fJhAMDU3EIL6cvaaju+c13qfbnnhYP4r9GTQuNhdxSiAosefwTKzDlU1G2E7WLxV7dE55M5sj5v6qcIE7EEEklFcDRUKrVz7WYnwz+HovDnrkftW96F2y69EnEliT954gDiyYTokMoCk3AyBHXTjr35NkgS/1lT+TnLHuF5W3gBM87VcNOo3fIhSBU2xOWjmD3zouhwKAeSJGH/7tvhqKrBoTOv41svPiY6pLLAbIV0T0nGMRW+D8B8X1micqOWo6xhOUrOqqwWVM91lmGbQvOwVNWj+tKbAaRWw0mf1teuwT9e+zEAwFefewivnD0tOCLxmIST7k2feALJ6TOwVK9F9cb3iA6HaFncmFkYbFNoTmrb2Sm2KtS1P9zWCs+G7ZhOxNHx6wNImrzjDZNw0j31l3Jt88cgWbjKSOWJGzMLg20KzanW+VFAsmDm9AuYPTsiOhzKkSRJ+N/Xt8FurcLjb46g76WnRIckFJNw0jVFSc7Xg7MrCpWxs9yYWRDq948dUsylouYCVG+8CQAwxZIUXdtS34Selo8AAP778AN4dWJUcETiMAkvEvYJL43YG0NITJ6EVFWPmk0fEB0OUVrcmFkYjhp1dD2TcLNRB/dweqb+feGK63HDhVswEY/h80/eU9KuN+wTbgLsE14aat/Y2q0fgWS1CY6GKD2WoxSGNrCH5SimU9v8cQBA7ORTiE++ITgayodFsmDgPXtgq7Di4RMv49+Olm4QE/uEExWAoiiYPJr6WNLOrihU5tgnvDDWcGqmaVnrL4HtolYACqbC/yE6HMrTjoYL8dWrPwgA+Mtn78Ob0XOCIyo9JuGkW7Nnfov42TCkimrUbPmQ6HCIVsRylMLQNmayRaEpqYN7WBduDH955XtxTdNGjM1E8RfP3ic6nJJjEk66NTm3ElKz+WZYKu2CoyFamRxlOUohaBszo1wJNyP1U8/o8UeQmJaFxkL5s1oq0HdDOyyShJ9EnsMvX/+d6JBKikk46ZY2oMf5ccGREK1sejaBmUSqHy5XwvPTMLcxc5wr4aZU2bgdlU1XAMk4osceEB0OFUDLBZfgSztvBADse+qnmJiNCY6odJiEky7Fz72OmbdCAKRU/1iiMqaWTkgSUG/jSng+GlgTbnrskmI8d11zCzbXNeLViTF89bmHRIdTMkzCSZemIr8AANg27EZF7YWCoyFamVo6UW+zwmKRBEejb/MtCrkSbla1aknKsYeRnJ0SGwwVhL3Shu/tvgMA8J3Dj2P47eOCIyoNJuGkS5NaKcrHBEdCtDptUyY7o+RtvkUhV8LNqmrd1bDWb4YSn0L0taDocKhAPnTJ5fi08xokFQWdvx7EbDIhOqSiYxJeJBzWUzyJaRnTrz8KALA3sx6cyp/WI7yGpSj5YncUkiQJtc2pBRj1U1Eyhm9c+3E02Wrx/OhJfOvFx4ryGhzWYwIc1lM80WMPAsk4KpsuR2XjZaLDIVoVR9YXDrujEADUOm8FAExF7odighVTs7iwph7/0Jq6wLrruYcRHn+74K/BYT1EeZiKpFoT1nIVnHRiPJZatV3DTZl5Uz9NmJpNYHau4wyZT/XGG2GxOZCMnkbsjWdEh0MF9Nltu/CB9dsQTcziC0+VdqR9qTEJJ11R4jFMHXsQAFsTkn6o7fTWsEd43hZ+msA2heYlVVRqQ9rUdrVkDJIk4fvXt6G6woqDJ4/gh+GQ6JCKhkk46Ur09V9BmTmHCvt62C7eJTocoozMJ+EsR8lXZYUFtZUVANim0Ozm68I5wt5otq25AF/RRtr/HKenJwRHVBxMwklXtFIU562QJP7zJX1Qk0WuhBdGA9sUEoDazbcAlkrMjh3BzOhLosOhAvuLK9+LqxrX40xsCn/1rDEvtJjFkG4oShJTYTUJZ2tC0g+tJpxJeEFwcyYBgMW2BjWXvA8Au6QYUeXcSHsJEn4YPoSHT7wsOqSCYxJOujHzZgiJyZOQKutQs+n9osMhyti5aW7MLKT5NoVMws1OK0kJG3Ol1OyuXXcp/vSKGwAAX3zyHkzFZwRHVFhMwkk3JsM/BwDUbrkFktUmOBqizKnJIlsUFsb8wB6Wo5id2qowduppJCbfFBwNFcPXWj6ETXYHRiZGcddzD4sOp6CYhJNuzLcmZCkK6Qu7oxQWV8JJZa2/BFUXugAomBp5QHQ4VAT1ldX47u7bAQDffPExvDB6UnBEhcMknHRhVj6K2TOHAYsVNVs+LDocoqwwCS+shpq5lXBuzCQs7JLCVoVGdeumnbhjy1VIKEl88cl7kFSMMSOASTjpglrvV73xJlRUNwqOhig74zGWoxSSejHDPuEEzJekRF89iOTspOBoqFi+ee1tqLPa8PTpV/HPrzwrOpyCYBJOujA5V4pi55RM0qGzXAkvqDW21MWMenFD5lZ1wVWw1m+GkphG9LWDosOhItlob8DXXKkBTd3D9+PN6DnBEeWPSTiVvcTUacROPglgfsWDSC+SSQXnOLa+oNSLmXNcCSekJiyyS4o5fPGK6+FauxHyTBR/PaT/nzWT8CJpbW3Fzp07sX//ftGh6N7UyAOAkkTVuqthXXOp6HCIsjI5k4CipP5frWWm/DSwHIXOoyXhIw9ASSYER0PFYrVU4Hu774AECT8Kh/DIySNZH2P//v3YuXMnWltbixBhdpiEF8nQ0BAOHz6Mffv2iQ5F96bCqc02tSxFIR1SO3hYLRKqrfyVWwhaTXiMSTilVG94Dyw2B5LR04idelp0OFREresuxRcu3w0A2PfUTxFLZPd7YN++fTh8+DCGhoaKEV5W+I5AZS0ZjyL6WhAAS1FInxZ2RpEkSXA0xrBG7RPOFoU0R6qoRM2WVL2w2s6WjOtvWz6Mi2vq8cr4afT+5hHR4eSMSTiVtenj/wklHkVF/SZUrXuX6HCIsjbOevCCU7+XLEehhdSSlMnwfVDUGjAypIaqGnzj2tsAAD3/9QiOnD0tOKLcMAmnsjYVuR8AULv1I1xFJF0aV6dlsh68YNiikJZTu/kWwFKJuHwUs2Mviw6HimzP1nfBs2E7Yok49j39U11eeDEJp7KlKPMT0Gq3flRwNES50doTciW8YBbWhOvxjZeKw2Jbg5pN7wfALilmIEkS9u++HbYKKw6ePIKfjDwvOqSsMQmnsjVz+nkkJk5AstaietP7RIdDlBNOyyw8dehRIqkgOstOGDRP3TvEunBzaF5zAb58lRsA8JfP3gc5FhUcUXaYhFPZUktRai69GRZrteBoiHLDaZmFZ6+qgFqdxpIUWqjWmfrUNHbqGSSibwuOhkrhr975PuxoWIc3o+fw5dADosPJCpNwKltaKQq7opCOnY2mksR6roQXjCRJ85sz2aaQFrDWb0LVBVcBUDB17EHR4VAJ2Cqs+N7uOwAAfS89jWdOvyo4oswxCaeyFJ88hZk3hwEANVs/LDgaotyxO0pxqOU96kUOkarG+REAQHTu01Qyvvet34Y/aG6BAgVffPIexHUysIlJOJWl6MgvAQBVF+2C1X6x4GiIcqeWS7A7SmGtsaW+n2q5D5GqdutcXfirASiJGcHRUKn0tt6KxqoaPD96Evt/92vR4WSESfgK+vv7tZvX64Usy6JDMo2pyC8AzNf3EenVubkWhVwJLyy2KaR0bBfvgqVmHZSZcUyf1EcyRvm7sKYef9+augD7SughnJg8Kzii1TEJT8Pv9yMQCKCjowMdHR3o7u7GzTffLDosU0hNyUxNwGJrQtK7s+yOUhQNTMIpDUmyoHaujHEqoq+NepSfz13Wit3rNmMiHsNfDZV/hxwm4Wn09PSgu7tb+7PD4UBTUxOCwaDAqMxh+vijUOJTqKi7hFMySfe0mnAm4QWljq7nxkxaTu3WVF341Ajrws3EIlnwT7tvh0WScGDkeRw8eUR0SCtiEr4MWZYRCoXgdDoX3e90OjE4OCgoKvPglEwyEm1iJlsUFlS9thLOmnBaqmazZ8H0zFdEh0MldM3ajfjC5dcDAP7s6XsxkyjfC3VDJeGyLKOzsxNer3fFxwWDQXi9XvT396O3txe9vb2Lvh6JRACkVr8Xcjgc2teoOBZNyWQ9OBkAy1GKQ2tRyHIUWoalqh7Vl7wXwHy7WzKP/3XNh3BhdR1eOvsWvvXiY6LDScsQSbjX60V7ezv6+/sRDAZX3EDp9/vR19cHn8+Hjo4OdHV1weVywePxaI8ZHR1N+/yVvkb5mzn9AhITr89NyXy/6HCI8jbOsfVFobUoZBJOaWglKWxVaDoOWw18c5s0v/ZCAMcnZLEBpWGIJNzn82FwcBBdXV1LVq8XkmUZd955JwYGBhbd73a7MTo6iv7+/iWPp9JS6/dqLv0Ap2SS7iWTCs7N1SyzHKWw1CT8HGvCKQ11c+b0iSeQmJbFBkMl9wfNLXjPRVsxFZ/FXzz7c9HhLMsQSXimDhw4AKfTuWyivnfvXvT19QEAmpqaln2+LMtpv6aKxWKL/kvZ0erBOSXTdGKxGP7mb/7GUOfOxMx8gshylMJSL2rMXhNuxPOmUCodzahsuhxQEoi++rDocKjEJEnCP133SVRIFvz01d/goRMvL/p6OeRrpkrCBwcH0ybRTqcToVAIsixrGzLPLz0ZHR2Fy+Va8TXK4YeqV/HJNzgl08RisRjuuusuQ507aqlEZYUEm9VUv26LjjXhKUY8bwpJbXPLunBzuqppA/70ihsAAF96+l7EFmzSLId8zVTvCsPDw0s6nqjU+yORCBwOB1wu15JNmJFIZFHtOC22f//+vJ4/PyWzBVb7+kKElHdMIl6jEMfL9RjZPi/Tx5fi51COtGmZ1ZUrdvopt+9PqeLJ53W0YT0LylHyjbvczptcjm0mmXxv1A3+0WMPQinBKHM9nDvFOF65nTsLH/fVaz6Ii2vqcWT8bXz9t49m9XrFZqokXJblFWvGgfnOKN3d3YvaEar14W63u1jh6V6+J7E2JbOAA3qYhBf3eUzCV6aWSqxWilJu3x89JBJan/BpJuFmlcn3xrb+OlhsjUhOjyL2xjNlEVM5vo7Rzp2Fj2uoqsE/tH4MAPB3LxzEsXPl02CDRYpz1ORcLUFpa2vTNms2NTVhaGgIBw8eXPU4iqIAAE6dOrXofpvNBpvNVtigy0wikcD4+HhOz03Gp/HWy0EoCQV1696b83EKGZOo1yjE8XI9RrbPy/TxmTxO/Xqxf16ldOrMGJTYFOxKxYp/r1L8O81GqeLJ53UsM1NQYlMYOzujHSPfuMvtvMnksUY8bzKV6fcxfuH7MXnkHki/uQdNdVeWRUzl9jpGO3fOf9xHL2jG9XUX49enX8XnH/4h/vndt2t5mpq3CaEYjMvlUjo6Opb9GgClq6tr2a+Fw2EFgNLX15fX66vH4Y033njjjTfeeOOtvG/hcDivvC8fXAmfo5abrNb9ZDVbtmxBOBxGZeXiGlAzrIQTERERlaNYLLZoE6aiKJidncWWLVuExcQkvMAsFkvazZ+r6e3t1cpiZFlGV1dXASMjMp5QKASv1wuPxwOn04lIJIJwOKy1GyWizPT29sLlcnHfE9Eq1JkysixjaGgInZ2dOZ83pkrC1Tfp5ai14Lkm0PnyeDzw+XxaC8Tm5mY4nU60tbUJiYdILyKRCLxer3a+MAEnyo56DgUCAdGhEJW1zs5OtLe3a0l3MBiEx+PB2NjYqo0/lmOq7igulyvtFEw1OV+tD3gx9Pf3w+l0Lnptn8/HBJwoA4ODg1AUBeFwGD6fT3Q4RLoTDAaFLUAR6cno6OiiznnqeTM8PJzT8UyVhHs8nrQr4eFwWNjHcOrH6QsxASciomLz+/3Ys2eP6DCIdGFwcHDRp62hUAgAsGvXrpyOZ6pylD179sDr9SISiWhXL7Isw+v14sCBAxgYGEj73GAwiEAggObmZm01vRA127Isa/3L1TqjcDiMzs5OrkxQWVPPHYfDseIKdLHOnYXHHx4e1lqJdnd35/SxIFGplMu5ox6T5wvpQbmcNwv19fXB5/PlfA4ZLgmXZXnJuHmVw+HAwMCAVj8aiUTQ2tqKn/3sZ7Db7WlXn/1+P+6+++5FH0GodUD51tCpK/OhUEj7RyLLMrZu3YqRkRH+cqSyo17Itra2IhgMrvgJUjHPHdXCvRMulwstLS0Ih8MFOTZRIZXbuXPgwAF0dHQU5FhExVJu5w2QKiMOBALweDz5JfjCmiMWkM/nU9ra2hSXy6X1fXS73UpbW5syODi45PGBQEDp6upS+vr6FJ/Pp2zYsCFtb/GxsTHF4XAoY2NjS77mcrny7iseCAQUAEvidLvdaXuaE5WLlfryF/vcScfhcCx73hOVE9HnzqFDhxb1R3Y6nUogEMj7uETFJPq8Of/1Ojo68srVDLESnu1ViNvtXnQldffdd6d97IEDB+B0Opddkd67dy/6+vq0lYRgMJhxZwb1Kk3tS35+6YnD4dBqjYj0qNjnTjpOpxOBQID7Kki3SnHuDA8PcxWcDKXU7zkOhwN9fX2QJAlr167NaUXcEEl4MQ0ODqYd4ON0OhEKhbSa7vOT+0yI6MZCVArFPncAoLGxEQcPHuR5RIZS7HOnt7cXZ86cQW9vr3bf6Ogo+vr6FpVGEulJKd5zOjs7tZLmhccOBAI5nTem6o6Si+Hh4bQbJNX703VcyZTL5VpyDFmWmViQrpXi3Nm1a9eS14hEImhpacnruEQiFfvc6erqgs/nQ1dXl3aTZRmdnZ1MwEm3in3ehEIh9Pf3LznG6Ohozvv3mISvQr1qWkm+iYTP51v0sUgkEkEkEkF3d3dexyUSqRTnzvkXqn6/H06nkx+zk66V4twhMppinzculwtdXV2LVtCDwSBkWc55RgXLUfKg/rDTdWPJlPoD9Xq9WLt2LcLhMAKBADujkGEV6tzx+XzaR+pnzpyBLMs4dOhQvuERla1CnTuqYDCo1bz6fD6Wo5AhFeq86e7uXlTGNTQ0hEOHDuXcUppJeJnItT6JyOyYMBDlTn3vyXSTGpGZORyOgr7nsBwlD2oT+HQbAYhoeTx3iHLDc4coe+V63jAJJyIiIiIqMSbhq1Anay5HrS3ieHmipXjuEOWG5w5R9vR43jAJX4XL5dI+xjif+sNmK0GipXjuEOWG5w5R9vR43jAJX4XH40l7ZRUOh7mZkigNnjtEueG5Q5Q9PZ43TMJXsWfPHoyOji77g/X7/ejs7BQQFVH547lDlBueO0TZ0+N5wyQcqV2z6XpHOhwODAwMwOv1LrpfHQrS1tZWihCJyhLPHaLc8Nwhyp7RzhtJURRFdBAi9Pb2YmhoCJFIBKFQCECqX6rD4cDevXuX/LCCwSACgQCam5u1miP2JyYz4rlDlBueO0TZM/J5Y9oknIiIiIhIFJajEBERERGVGJNwIiIiIqISYxJORERERFRiTMKJiIiIiEqMSTgRERERUYkxCSciIiIiKjEm4UREREREJcYknIiIiIioxJiEExERERGVGJNwIqI8eDweSJK05JarUCiExsbGJcfr7OwsYNRERCQak3AiojwEAgEoioJDhw7B6XRq94dCoZyO19PTA1mWAQAdHR0YGxuDoijo6+srRLhERFQmmIQTERXA6Ogo2tra4HA4AACRSCTrY/T29sLj8Wh/9nq92vGIiMhYmIQTERVAIBCAx+PRVsOzTcIjkQjOnDmjrYI7HI5FK+tERGQsTMKJiAogGAzC7XZriXM4HM7q+T6fDz6fD4FAAADgdrsLHiMREZUPJuFERAWUy0q43+9He3s7gFQyD2BRWQoRERkPk3Aiojypq+AA0NzcDCDzJFyWZQQCAbjd7kWbObkSTkRkbEzCiYjypNaDA9mvhPf09MDn8wGYXwVnPTgRkfExCSciylMoFNJWrhcmz+omy5We19zcrHVAYT04EZF5MAknIsrT6Oio9v8Lk/DVVsN7enrQ0dGh/Xl4eBgA68GJiMyASTgRUR4W1oOrMukV3tvbi+7ubu3PoVBIWznnSjgRkfExCSciysPCenDVanXhak9wl8ul3WeGevBgMIjm5mY0NzeX3Wp/b2+vFpvX6xUdDhGZAJNwIqI8LKwHV+3atQtA+l7hak/whcxSD97W1oZwOKz9fctFV1cXwuEw+vr6Vq3lJyIqBCbhRER5WFgPrlLbFKo13gv5/f5lV4FXqgf3eDxoaWmBJEmQJAktLS3weDxob2+Hx+PRbn6/P6fntrS0oLe3d9m/X3t7+5Lnt7e3a6v8kUgk7WMycf5zl/s7LKe3t3fR63H1moj0xio6ACIivVpuFRxYuRwlEAigr69v0X2RSGTFenB11bixsRGyLOPQoUPLxnLzzTejr69v0SpzJs+NRCLweDzo6+vDoUOHtJp2ABgcHFz0/IMHDy76utPpxODgIGRZRmNjIwAs+xrpqMdvb29HMBhEX18f2traVn2e+ilDW1ubdgwiIj3hSjgRUY6CweCyK9dqEn5+WYPX6112xTbTevCmpqa0X3O5XBgYGEAwGERnZ2famJbjdDrR19enrWqv9NoLE/CF1PtzrWd3Op3o6OhAMBhctatMMBjU4lzpe0JEVM6YhBMR5SgQCGj13wst16YwFAph7dq1yyaphaoHV1eQ+/v7s36u+trqBYEI6sXDaiUpoVBo2e87EZGeMAknIsrR6OjosivDC+9Tk/Cenh50dXUtexw18S1kx5BMJ3YuR9TGRKfTCZfLtaRcZyFZltOuxhMR6QmTcCKiHKy2GruwLvz8nuALrVYPng31OLm0OVQvBNxut9Akt7OzE5FIJO2K/IEDBxYNOCIi0ism4UREOUhXD65Sk+BAILCkJ/j5xwEK0x+8p6cHADAwMJDV8yKRCDo7O+FyuYRvctyzZw8ApF0NZ/tAIjIKdkchIsrB+V1Izqcm1MFgECMjI2kfpx4jnxrnSCSCvr4+9Pf3Y3BwcMXuIue3IhwaGkIoFILP58uoK0mmrQdz5XA40NbWtmxdeCgUSnsxQ0SkN0zCiYiyEAqF4PV6EYlEtKE7y5VvqL3CBwYG0pZ3hEIhLdnMpgSks7Nz0ePXrl2L1tbWJQOAlrNcXXowGITX6122feL5VloplyRp1dfPRGdnJ/x+P/r7+xeVngSDwbR19UREesMknIgoA6FQCC0tLYvu6+/v1xLF85NXl8sFt9u9ZHU5EomgpaVF22CoJtN+vx+SJMHhcODgwYMrrviulihny+124+DBg9i6dSuCwWDaSZ+lotal9/X1LUrCc61VD4VCiEQi2sZPIqJywJpwIqIMuFwuKIqy7G25pNjtdi9bruJ0OjE2NgZFUTA2Nqbd1GONjY0JSRQdDgc6OjoQiUTKYvpkR0eHljwDqYuUbDeuqhdJaomLel+mUzmJiIqJSTgREQEAWltbAYjtFa5Se4arFzjqSnament7sWfPHnR0dGjPc7lc6OjogNvtXlIbT0RUakzCiYgIQKrvOZD71MtCUktH+vv7IctyVjH5/X50dHSsON3T7XaXxcUGEZkXk3AiIgIwv+q83Nj7Yluu9WBnZydkWUZ7e3tGnVtUyw1ROn94kcvlymugERFRvpiEExHphLpSnUvyuNpz2tvbEQqF0NXVtWzttfra6fp0q/fnEpssywgGg0uOrW7KXG4VXH0dNa6FmpqaFv3Z6/WiubkZ/f39WcdGRFQs7I5CRFTm2tvbF03W9Hg8cLlc8Pl8q5ZpnP/clpaWRc9Rv+Z0OnHo0KElm0KXe/7C11Y3ci5MvtXXyGTwj8fjwfDwMGRZxtatW7Fr165FG1q7urqwd+9e7c+hUAg9PT0IhUIAUqUnC78fwNLEvLW1tSDDkIiIColJOBFRmctnimW+EzBXe36myXY6Kw08ArCk93kuUz3b2tqyKmchIioFlqMQEZGhNDU1rVoWEwwG85pSSkSULybhRERkKOrY+3T165FIBJFIhIN7iEgolqMQEZHhdHV1aRsx3W43nE4nQqEQhoeH0dTUtGgSJxGRCEzCiYjIkNREOxQKwe/3w+l0MvkmorLBchQiIioZv9+P5uZmeDyekr2my+VCW1vbiuUnvb29aG5uRmdnZ9ohP0REhSQpiqKIDoKIiIiIyEy4Ek5EREREVGJMwomIiIiISoxJOBERERFRiTEJJyIiIiIqMSbhREREREQlxiSciIiIiKjEmIQTEREREZUYk3AiIiIiohL7/zksD/yh8bs2AAAAAElFTkSuQmCC", "text/plain": [ - "" - ] - }, - "execution_count": 122, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
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" ] }, "metadata": {}, @@ -546,12 +556,15 @@ } ], "source": [ - "plt.loglog(m_arr, 1/m_arr*mass_func_arr, label=\"sigma=0.01\")\n", - "plt.loglog(m_arr, 1/m_arr*mass_func_arr_med, label=\"sigma=0.5\")\n", - "plt.loglog(m_arr, 1/m_arr*mass_func_arr_wide, label=\"sigma=1.\")\n", - "plt.ylim(1e-6, 1e22)\n", - "plt.xlim(1e-12, 1e-6)\n", - "plt.legend()" + "plt.loglog(m_arr, mass_func_arr, label=\"sigma=0.01\")\n", + "plt.loglog(m_arr, mass_func_arr_med, label=\"sigma=0.5\")\n", + "plt.loglog(m_arr, mass_func_arr_wide, label=\"sigma=1.\")\n", + "plt.ylim(1e0, 1e6)\n", + "plt.xlim(1e-6, 1e-3)\n", + "plt.xlabel(r\"$M_{\\rm{PBH} [M_{\\odot}]}$\")\n", + "plt.ylabel(r'$f(M)$')\n", + "plt.legend()\n", + "# plt.savefig(\"../examples/figures/log_norm_mass_func.pdf\")\n" ] }, { diff --git a/nbs/09_lightcurves.ipynb b/nbs/09_lightcurves.ipynb index 5bd6712..24320e6 100644 --- a/nbs/09_lightcurves.ipynb +++ b/nbs/09_lightcurves.ipynb @@ -141,14 +141,14 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ - "100%|██████████| 30/30 [01:55<00:00, 3.83s/it]\n" + "100%|██████████| 30/30 [01:54<00:00, 3.81s/it]\n" ] } ], @@ -622,7 +622,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 7, "metadata": {}, "outputs": [], "source": [ @@ -633,13 +633,13 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "umin = 0.2\n", "t_e = 10\n", - "t_arr = np.linspace(-20,20,1000)\n", + "t_arr = np.linspace(-24,24,1000)\n", "u_arr = u_func(umin, t_arr, t_e)\n", "rho = 0.7\n", "A_fs_arr = np.array([A_gould(u, rho) for u in u_arr])\n", @@ -648,7 +648,7 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 9, "metadata": {}, "outputs": [ { @@ -682,12 +682,12 @@ }, { "cell_type": "code", - "execution_count": 69, + "execution_count": 23, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", "text/plain": [ "
" ] @@ -696,17 +696,72 @@ "output_type": "display_data" } ], + "source": [ + "# plt.plot(t_arr, A_fs_arr, label=r\"$\\rho = $\" + ' ' + str(rho), linewidth=3)\n", + "plt.plot(t_arr, A_ps_arr, label=r\"Point Source\", linewidth=3)\n", + "\n", + "plt.axhline(1.34, color='k', linestyle='--', label=r'$A_T$',linewidth=3)\n", + "plt.axvline(-10, color='k', linestyle=':', label=r'$u_T$',linewidth=3)\n", + "plt.axvline(10, color='k', linestyle=':', label=r'$u_T$',linewidth=3)\n", + "\n", + "\n", + "plt.text(-20, 1.6, r'$A_T$', fontsize=30)\n", + "\n", + "# plt.text(1.2, 2.5, r'$u_T$', fontsize=30)\n", + "\n", + "\n", + "plt.ylim(1,6)\n", + "\n", + "plt.xlim(-24,24)\n", + "# plt.xlim(-2,2)\n", + "\n", + "plt.xlabel(\"Time\")\n", + "plt.ylabel(\"Magnification\")\n", + "# plt.legend()\n", + "# plt.savefig(\"figures/ps_fs_magnification.pdf\")\n", + "# plt.savefig(\"../examples/figures/ps_fs_magnification.pdf\")\n", + "# plt.savefig(\"../examples/figures/t_dur_lightcurve.pdf\")\n", + "\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "u_arr_2 = np.linspace(-3,3,200)\n", + "rho = 0.6\n", + "A_fs_arr_2 = np.array([A_gould(abs(u), rho) for u in u_arr_2])\n", + "A_fs_int_arr2 = np.array([fast_magnification_finite_new(u, rho) for u in abs(u_arr_2)])\n", "\n", - "A_fs_arr_2 = np.array([A_gould(abs(u), 0.6) for u in u_arr_2])\n", + "# plt.plot(u_arr_2, A_fs_arr_2, linewidth=3,color='C0')\n", + "plt.plot(u_arr_2, A_fs_int_arr2, linewidth=3,color='C0')\n", "\n", - "plt.plot(u_arr_2, A_fs_arr_2, linewidth=3,color='C0')\n", "plt.axhline(1.34, color='k', linestyle='--', label=r'$A_T$',linewidth=3)\n", "plt.axvline(1.1, color='k', linestyle=':', label=r'$u_T$',linewidth=3)\n", "\n", + "plt.axhline((1 + 4/rho**2)**(1/2), color='k', linestyle='--', label=r'$A_\\rm{max}$',linewidth=3 )\n", + "\n", + "\n", + "\n", "plt.text(1.2, 2.5, r'$u_T$', fontsize=30)\n", "plt.text(-2.5, 1.5, r'$A_T$', fontsize=30)\n", + "plt.text(-2.5, 3.2, r'$A_{\\rm{max}}$', fontsize=30)\n", + "\n", "\n", "\n", "plt.ylim(1,4)\n", @@ -725,6 +780,26 @@ "plt.show()" ] }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "3.48010216963685" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "(1 + 4/0.6**2)**(1/2)" + ] + }, { "cell_type": "code", "execution_count": 28, From 6ad75128bd4c969d0a8488a976c57d450916d52f Mon Sep 17 00:00:00 2001 From: Nolan Smyth Date: Tue, 20 Feb 2024 16:54:59 -0800 Subject: [PATCH 11/17] Adding realistic Roman precision and sources --- examples/extended.ipynb | 214 ++- examples/extended_old.ipynb | 2628 ++++++++++++++++++++++++++++ examples/roman_monitored_stars.csv | 13 + examples/roman_noise_sim_total.csv | 35 + 4 files changed, 2888 insertions(+), 2 deletions(-) create mode 100644 examples/extended_old.ipynb create mode 100644 examples/roman_monitored_stars.csv create mode 100644 examples/roman_noise_sim_total.csv diff --git a/examples/extended.ipynb b/examples/extended.ipynb index ab8697e..a49cbd2 100644 --- a/examples/extended.ipynb +++ b/examples/extended.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 7, + "execution_count": 1, "metadata": {}, "outputs": [], "source": [ @@ -41,7 +41,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ @@ -49,6 +49,216 @@ "sns.set_palette(\"colorblind\")\n" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Source magnitude, photometric detection, and blending" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [], + "source": [ + "#Data taken from 2305.16204\n", + "#Roman noise in parts per thousand as function of source AB mag F146. Fig 9\n", + "roman_noise = pd.read_csv('roman_noise_sim_total.csv', header=None).values\n", + "#Number of monitored stars as function of source AB mag F146. Fig 15\n", + "roman_monitored = pd.read_csv('roman_monitored_stars.csv', header=None).values\n", + "#Roman flux contamination as function of source AB mag F146. Fig 5\n", + "roman_blend_frac = np.array([[15, 0.1], [16, 0.15], [17, 0.2], [18, 0.275], [19, 0.35], [19.5, 0.41], [20, 0.48], [20.5, 0.56]])" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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8hh1KbK+JiGg82GaHD9tsIiIaK3/baxbIg2zPnj2YM2eO1DGIiCiK7d69G7Nnz5Y6Rkxje01ERMHANjv02GYTEdF4jdZes0AeZNOnTwfQd+BTUlIkThM9PB4P5syZw+MWB/hexwe+z2PTf9z62xIKHbbX/uO/59jH9zj28T0OPrbZ4cM2O7j494BOxc8EnSqWPhP+ttcskAdZ/5CvlJSUqP8QSYHHLX7wvY4PfJ/HhsOHQ4/tdeB4rGIf3+PYx/c4+Nhmhx7b7NDg8aRT8TNBp4qlz8Ro7TUnSyMiIiIiIiIiIiKiuMQCORERERERERERERHFJRbIKSIkJyfjgQceQHJystRRKMT4XscHvs8ULVQqFbKyslBbWyt1lIjFf8+xj+9x7ON7HDy1tbXIysqCSqWSOgrRmPDvAZ2Knwk6VTx+JhJEURSlDhFLPB4PZDIZ3G53zMzTQ0RE4cE2JHx4rImIaDzYjoQPjzUREY2Vv20Ie5ATERERERERERERUVxigZyIiCjOtba2Dvjp6Ojw3dfR0YGlS5ciKSkJ6enpKC4uhsfjkS4sERERERERURCxQE5ERBTnTCYTcnJyUFhYiIaGBrhcLgCA2+2GUqmEyWRCdXU1zGYzCgsLkZeXJ21gIiIiIiIioiCZIHUAIiIikpZarcaqVatQXV094PaSkhK43W6YzWYsXrwYAJCdnQ1BEFBZWYmqqiop4hIREREREREFDXuQExERxbnGxsZBxXEAMBqNUCqVvuJ4P6VSCa7xTURERERERLGABXIiIqI4l5aWNui2zZs3A+jrXT6UhISEkGYiIiIiIiIiCgcWyImIiGgQk8mEhIQEqFSqIe/vn6eciIiIiIiIKJqxQE5ERBTnUlNTB91mNpsBDN+DnFOsEBERERERUSxggZyIiGicnrd9jr+8046eXq/UUcakra1twO9utxs2mw1KpRIpKSmDtn/sscdQWFgYrnhERERBse/gcdzx1xa4jnZLHYWIiIiG0esVscL4EVq/cIftOVkgJyIiGgfnkRP42Uuf4KcvfYJnrZ9LHWdMSktLUVxcjIMHD6KjowNqtRoJCQnQ6XSDtq2srITVakVeXp4ESYNPpVIhKysLtbW1UkchIqIQ2rb3IC7/8zt4xvo5tIYPx7yf2tpaZGVlDTsFGREREY3Pk82fof4/u5Cvfw9Hu3vD8pwTwvIsREREMerXb36KziPduGDGdNyaM1vqOGOiUChQWFiIuXPn+uYW1+v1WLx4MQBg/fr10Ov12Lx5s29qFblcjqqqKqkiB01zc/OQveSJiCh2/KPtAAqetsB1tBtC+lT89rvnjXlfZWVlKCsrg8fjgUwmC2JKIiIiOnisB79+81MAwC/zF2DKxKSwPC8L5ERERGPU+oUbde91AAD+dMOFmJgUvQOzNBoNNBoN3G73oBN+tVoNpVIpUTIiIqKxe7p5N7TGD9HdK+IbGanYeIcKZ5yWLHUsIiIiGkLNW2346uBxzD99GlZenhG252WBnIiIaAxEUcRPNn4MrwgULzobV807XepIQTFUbziZTMZeckREFFVEUcSDm3bgt6YdAICihWfjqRsXYXKYeqIRERFRYHa7juKRt+wAAN0152PShPB1QIverm5EREQSet72Bd7t6MLUiUl4+JosqeOMy/r165GUlIT7779f6ihERETjdrynF7f/tcVXHF+9eB5euEXJ4jgREVEE+8Xr23Csx4tvC+n4wQVnhfW52YOciIgoQJ5j3Sh/bSsA4Jf58zFbPkXiROPT0NAAURRht9uljkJERDQuziMnsOypZvzL4URSYgLWFlyE5ZfOlToWERERjaD5Mxees32BhATgkeuykJCQENbnZ4GciIgoQL8x7fDNi/bzbwlSxxk3QRDQ1dXFaVSIiCiq2Q8cxtWPv48d+w8jZfIEGG7PRf6CM6SORURERCMQRRH3vroFAHB7zmwoZ8vDnoFTrISISqVCVlYWamtrpY5CRERBtPWrg/jT2+0AgD9efyGSJ4x/uHZtbS2ysrKgUqnGva+xcLlcARfHi4uLQ5SGiIgocP/ucOLyP7+DHfsPY458Mt4pu4LFcSIioiiw4eMv8U67E1MmJuJ33ztPkgzsQR4izc3NSElJkToGEREFkSiK+J+XP0GPV8QPLpiB7553ZlD2W1ZWhrKyMng8Hkl6cVdXV6O4uBgNDQ1+P8Zms4UwERERkf8aW/fghy+24HiPFzmzZXjlR5dgZspkqWMRERHRKI739KLib9sAAKu+Mw+zZNJMX8oCORERkZ+MH32JzTsPIHlCIv7vuguljhM0crkc9fX1WLlyJTIzM6FWqyEIwrAXetvb2+F0OsOckoiIaCBRFKH7Rxvuf307AOC6C2bg+ZuVmJbM01wiIqJo8Jd3OuDoPIKZKclY9Z1MyXLwmwMREZEfDh/vwb2v9M2LVnHVPCjSp0qcKHjmz5/v+//6+noJkxAREfmnu9eLuzd8jMff/wwA8NMrFXjk2guQlBjeRb2IiIhobA4cPo7fmXcAAH7/vfMlvcDNAjkREZEf/rdpJz53H0NG6hRULJ4ndZygEkURDocDSqUSeXl5o25vt9vR0dER+mBERERDcB/tRtGzFph2HEBiAvD/fnAhfvJNhdSxiIiIKAAPbdoB97EeZM9Kwe05syXNwgI5ERHRKHbuP4RH3nIAAP7vBxdgysTxL8wZSfqnWFm+fLnfj0lPTw9hIiIioqEdPNaD7677D97/zIWpE5Pw11uVuPaCs6SORURERAHYvu8g6t7bBQBYc+0FSJR4BFiipM9OREQU4URRxM9e3oITvV5899wz8IMYPAkXBAG5ubkBPSY1NTVEacJLpVIhKysLtbW1UkchIqJRHD7eg2sefx/vf+ZC2tSJ+GfZN8JeHK+trUVWVhZUKlVYn5eIiCiWlL+6Db1eET+4YAaumne61HHYg5yIiGgkr23dize278PEpAT84foLkZAQe3ObNjY2jrpNe3s73G435HI5MjIy0NbWFoZkodfc3DzsYqRERBQ5jnX34oanmvF2uxMpkyfg79rLkDNbHvYcZWVlKCsrg8fjgUwmC/vzExERRbvNO/fjtW17MSExAbprsqSOA4A9yImIiIZ1rLsXP3u5b2HOe76diQVnnCZxIum4XC7Y7XaYTCasXLmSc5ATEVHYnOjxovAZC8w7D2DapCS8vvxSSYrjREREND69XhH3vboVALDyGxkRc47NHuRERETDePgtO9qdRzBLNhm/yJsvdRxJZWdnIzs72/d7cXExGhoaJExERETxoKfXi1uet+Fv2/Zh8oREvPqjS/CNjDSpYxEREdEYPG3ZjQ/3eCCfMhG/zl8gdRwf9iAnIiIaQofzCKo27wQArLk2C6cl85pyvw0bNsDhcEgdg4iIYlyvV8QdL7Zi/cdfYlJSIjbeqcJ3ImCeUiIiIgrcoeM9+OUb2wEAv8qfj/RpkyRO9F882yciIhrCfa9uwbEeL76TmY6ihWdLHScsHnvsMej1ejgcDrhcrhG31ev14QlFRERxyesVUWr8CC+0fIEJiQlovD0HS889U+pYRERENEY1/2jDVwePY97p01D2DYXUcQZggZyIiOgUmz7dhw0ff4WkxAT8KUYX5jzVypUrfUVvQRCgUCjgcDggCAKAvjnIHQ4HlEol7r//fixbtkzKuEREFMNEUcRPX/oET3zwGRITgOdvUeK6C86SOhYRERGN0W7XUTzyTzsAQHf1+Zg0IbImNWGBnIiI6CTdvV78z0ufAAB+fEUGLpyZInGi0GtpaUFDQwMMBgMKCgp8t69evRrV1dUDtl2/fj2nVyEiopARRRHlr23Do//uQEIC8OSNi1AYJyO5iIiIYtUv39iOo91efEtIw/UXRt5F78gq1xMREUns0X934NP9h3HGtEl4cMm5UscJi+rqamzevHlAcRzAkD3nCwoKkJ2djQ0bNoQrHhERxZEHN+3w9TBbW3AxbsuZI3EiIiIiGg/LbheetX4OAHjkugsicoQ2C+RERERf6zx8Ag9t2gEA+N33zoNsykSJE4VHamoqsrOzB90+XE/xvLw8NDc3hzoWERHFmeqmnfitqa8d/sMPLoD2srkSJyIiIqLxEEUR976yBQBwe85s5MyWSxtoGCyQExERfe3BTZ/CdbQbF89MwY8uOUfqOGGTmpo65O25ubloamoKcxoiIopHf/iXA/e/vh0AUPX98/HTKwWJExEREdF4bfzkK7zd7sSUiYn43ffOkzrOsFggJyIiArBt70HUvbcLAPD/fnABkhIjb9hXqIiiOOTtGo0GOp1uyPtcLlcIExERUTzRv9eBe77uXfbr/AWoWDxP4kREREQ0Xsd7elHx2lYAwH3fmYfZ8ikSJxoeC+REREQA7nt1K3q9Iq6/8CxcNe90qeOElUql8vUUb2pqwpo1awAACoUCdrsdjzzyyIDt29vbYbFYwp6TiIhizzOW3bh7w8cAgPu+k4kHliyQOBEREREFQ+27HbB3HsHMlGSs+k6m1HFGNEHqAERERFJ7Y9tevLF9HyYmJaDmmiyp44RdQUEBVq9eDZfLheXLl8PtdkMQBCxbtgzV1dUoKiqCyWSCRqOBy+VCVVUVtFqt1LGJiCjKNbR+gR81tEIUgR9/UwHd1edH5MJdREREFJgDh4/71hX57XfPw2nJkV2Cjux0REREIdbd68V9r/YN+/rJNxWYd/o0iRNJo7q6GuvXr0dRURGcTifUajWAvmlWSkpKsG7dOphMJoiiCLlcjsrKSokTExFRNHv5k69w2wst8IrAXZeegz9cdwGL40RERDHiN6adcB/rwcKzU/DD3DlSxxkVC+RERBTX9O/twrZ9h3D6tEn4pTq+h3UXFBSgoKBg0O16vR6FhYUwGo3IzMyEVqtFSkqKBAmJiCgW/P3TfSh+1ooer4hblbNQV3AxEuNo7Q8iIqJY9um+Q6j7dwcAYM21WVGxvhcL5EREFLecR07gwU2fAgB+s/RcyKdMlDhR5FKr1b5e5bFEpVIhKSkJZWVlKCsrkzoOEVHM+0fbAdzwZDNO9HqhuXgmniheFBUnzv1qa2tRW1uL3t5eqaMQERFFpIq/bUWPV8S1WTOQN/8MqeP4hQVyIiKKW78x7YDzSDcuPGs6ll96jtRxSALNzc3sDU9EFCb/7nDiuic+wLEeL67NmoHnblZiQlKi1LEC0n9B1ePxQCaTSR2HiIgoojTtPIBXtuzFhMToWt+LBXIiIopLn+47hEff7QAAPHLdBVF3gh5OHR0dAIC0tDQWk4mIaEwsu134/mPv4/CJXuQvOB0Nt+Vg0gS2vURERLGi1yvivle3AABWfCMD5555msSJ/McCORERxaVVr/532Ff+gugY9hUqK1euxNq1a4e932QyAQBcLhfsdjvmzZuH++67L1zxiIgoyn20x4Ol9f+B51gPviWkYeMdKkyemCR1LCIiIgqiZyy70brHA/mUiXggP7rW92KBnIiI4s6mT/fhtW19w74evjZ6hn2FitlsHvH+kpKSAb+3tLRgzZo1LJITEdGotu87iHz9e+g62o3L5qbi1R9diqmTeBpKREQUSw4d78Ev39wOAPilej7Sp02SOFFgOKaNiIjiSk+vF/e+shUA8ONvKrDgjOgZ9hUqoigGtH12djbsdnuI0hARUaywHzgMdd1/sP/wCShnyfD68ksxfTKL40RERLHm4bfs+NJzHJnpU1F2RYbUcQLGAnmIqFQqZGVloba2VuooRER0knXvf4Ytew8ifepE/Eo9X+o4AIDa2lpkZWVBpVJJ8vwJCQkBP8bhcIQgCRERxYpdziPIq3sPezzHcOFZ0/F37WWQT5kodSwiIiIKss9dR7HmrTYAgO6aLCRPiL5p1Hj5PkSam5u5kBkRUYRxHe3Gr78e9vXg0nOROjUyhn2VlZWhrKwMHo8HMpks7M/vdDr92s7j8cDhcKCioiLEiYiIKJp91nUEefr38JnrKBacMQ2m0sujbqg1ERER+eeXb2zH0W4vrlSk4YYLz5I6zpiwQE5ERHHjt6Yd6DzSjawZp6H0srlSxwm7oqIiOBwOOBwOuN3uAfclJfl/lV8QBN/CnURERCdzdB5GXt172NV1FEL6VJhLL8eM6clSxyIiIqIQsOx24Rnr5wCAR667YEyjkyMBC+RERBQXduw/hL+82w6gr+GekBR/s4w1Njb6/t9sNkOn02Hz5s1ISEhAXl6eX/vIz8+HVquVpKc7ERFFth37DyGv7j184T6GBWdMg7n0csyWT5E6FgWB2WyGyWRCZmYmXC4XAKC8vDygfRQWFiItLQ2lpaVQKpVwuVywWCzQ6/WorKyEUqkMQXIiIgoVURRx36tbAAC3Kmchd45c2kDjwAI5ERHFvF6viLsaWtHdK+J7552JpeeeKXUkyanVaqjVapSWlqKpqQmbNm2SOhIREUWxrV8dhFr/Hr46eBxZM06DqfRyzEyZLHUsCgKj0YiGhgYYDAbfbWazGfn5+QGNKHO5XDAajaivr/fdJpfLYTAYWBwnIopCL33yFf7lcGLyhET8/vvnSx1nXFggJyKimPfwW214t6ML05MnoHbZRVLHiSh6vR7z5s2TOgYREUWxj/Z4kK9/D/sPn8DFM1OwSXsZzuS0KjHB5XKhpKQE7e3tA25Xq9WoqKhAfX09tFqtX/tSKpWoqKiAzWYD0Ddlm0ajCXpmIiIKvRM9XpS/thUAcO93MjEnykeMsUBOREQxreULNx74+6cAgD9dfyEy0qZKnCjycNFNIiIaK9vnLiyp/w+cR7qhnCXD37WXcUHOGNLY2AhBECCXywfdV1xcDL1e73eBHPjvCDYiIoputf9uh73zCM6anoyKq6K/w1X8TcBKRERx41h3L257wYbuXhHLLjoLt+fOljpSRCopKZE6AhERRaH3d3Uhr+49OI9049Jz5DCvuJzF8RhjMBiQlpY25H2CIMBms/nmJCciovjgPHICvzPtBAD89rvn4bTk6O9/zQI5ERHFrPvf2I6tew9hxvRk1GkujtoVtUOttbV1wE9HR4fvvo6ODixduhRJSUlIT09HcXExPB6PdGGJiCgivNPeifz69+A+1oNvKtKwSXs55FMmSh2LgsxisUAQhCHv67/d4XCEMxIREUnsN6Yd6DrajYtnpuAO1Ryp4wRF9Jf4iYiIhrB553784V99J2yPFy3E6dM4F+pwTCYTVq9e7ZsLtLi4GADgdruhVCrhcrmg0+mgVqtht9uRl5eH5uZmiVMTEZFU/tF2ANc+/gGOdPfiqsx0vPKjSzAtBnqP0WAul2vI6VVO5nA4/F5k0+FwwGw2+3632+2orKwc9TkADLpAn5ycjORkfr8jIgqnHfsP4dF3OwAAa67NQlJiZHVCO378OI4fP+773d/OXfwWQ0REMcd1tBt3vtgKACi9fC6+f/4MaQNFOLVajVWrVqG6unrA7SUlJXC73TCbzVi8eDEAIDs7G4IgoLKyElVVVVLEJSIiCf3903244clmHOvxYum5Z2DDHSpMmZgkdSySQH9R2+l0+rW9w+GAzWYbMGe5zWZDTk4OrFbrqEXyOXMG9lJ84IEH8OCDDwYSmYiIxqnita3o8Yq45vwZUC84Q+o4g1RVVeGhhx4K+HGcYoWIiGLOTzZ+jM/dxzDv9GlYc02W1HEiXmNj46DiOAAYjUYolUpfcbyfUqmEKIrhikdERBHita178YMn+orj15w/AxtZHKcAGAwGaDSaAbcplUoolUq/1kPZvXs33G6376eysjJUUYmIaAj/aDuAl7fsRVJiAmquPV/qOEOqrKwc0Fbs3r3br8exBzkREcWUxtY9eN72BRITgGduyuaQbz8MtfjW5s2bAfT1Lh8K53MnIoovGz7+Ejc9Z/UtfP3CLTmYNIH9reJZ/+Kcwy3i6a/8/HyUlpaOul1KSgpSUlLG9VxERDQ2vV4R976yBQCw4vK5OO/M6RInGtpYp9/iNxoiIooZX7iPYuX6jwAA9+fNx2VzUyVOFL1MJhMSEhKgUqmGvL//pJiIiGLfiy1foPjZvuL4jYvOxou3sjhOwdNfYLfZbBInISKi4Txr/RytezyQTZ6AB5YskDpO0PFbDRERxQRRFHFXw4foOtqNnNky/Co/9hrtUElNHXwhoX8BreF6kMfKFCsqlQpZWVmora2VOgoRUUR6xrIbt75gQ69XxO05s/HszUpMSIrf08ja2lpkZWUNewE51giCAIfDMeR9/XOPC4Iw6n5KS0tRUVEx5H2BzmVOREThdfh4D37xxjYAwC/UC3D6tNhbIJnjzomIKCY8+u8ObNqxH5MnJOLZm7MxMY5P3gPV1tY24He32+1bNGuoocyPPfYYCgsLwxUvpJqbmzlcm4hoGI+9vwulxo8gisBdl54DfcHFSEyM7ym2ysrKUFZWBo/HA5lMJnWckFMqlcOOGusvnCuVylH309jYOOxF9/795Obmji0kERGF1MNv2fGl5zgUaVPxk29mSB0nJFg9ICKiqLd930GUv7YVAFBzTVbEzocWqUpLS1FcXIyDBw+io6MDarUaCQkJ0Ol0g7atrKyE1WpFXl6eBEmJiChcat9th9bQVxy/+xsZLI7Hqfz8/GF7kNvt9mGL3qfSarUwGAxD3mcymSAIgq8nORERRY4v3Efx8Ft9Hap0V5+P5AmxuTg3C+RERBTVunu9uP2FFhzt9mLJgjNw9zcypI4UdRQKBQoLCzF37lwIggCr1Yq6ujosXrwYALB+/XosWbIESUlJ0Ol00Ov1qKyslDg1ERGFyv/7lx0/2fgJAODn3xLw5xsuZHE8ThUVFcHpdA5ZJDcajYMW13S5XL5p2k6mUqmGnGPc5XLBaDQOeVGeiIik98s3tuNotxdXZKSi4OKZUscJGRbIiYgoqtW+2wHL526kTpmIx4sX8gR+jDQaDZxOJ7q6uuD1elFSUuK7T61WQ6/Xo62tDXa7HXa7HVqtVsK0REQUKlWbd+LeV/pGZVXmzcOaa7OQkMC2NV7J5XKsW7du0PzhRqMRgiBAo9EMuL2wsBD5+fmor68fcLtGo4Ferx9UJM/Ly4NWqx20HyIikp71cxeetnwOAHjkugti+vsA5yAnIqKo5T7ajd+bdwAAqq8+H7NkUyROFP2Gmk9VJpPFxTyrRETxTBRFPLRpB35j6mtXH1xyLn6VPz+mT4bJPxqNBnK5HBUVFcjMzPTNSW4ymQZtm5+fD4vFMuR84nq9HjU1NWhoaIDL5YLT6URlZSWL40REEUgURdz39QXzW5SzcMk5qRInCi0WyImIKGrVvNWGziPdOP/M03Cnao7UcYiIiKKSKIq4/43t0DX1zTH6v98/D6sXz5c4FUUStVrt13zj5eXlKC8vH/F+IiKKfC9v+Qr/dHRi8oRE/P5750kdJ+RYICcioqi0x30Mf/hX33yY//v98zEhibOGERERBUoURdz76lZfm/rIdVn4+bcyJU5FREREUjnR40XFa9sAAPd8OxPnpE6VOFHosUBORERR6SHTpzja7cU3MlJx3QUzpI5DREQUdbxeET956ROs/XcHAOAvN1yEu6/IkDQTERERSWvtex3YeeAwZkxPRsVV86SOExYskBMRUdTZvu8gnvhgNwBAdzUXDyMiIgqU1yuidP1HePz9z5CQANRrFuKuS8+ROhYRERFJyHnkBH6zqW89kt9+91xMnxwfpeP4eJVERBRTfvnGdvR6Rfzgghm4QpEmdRwiIqKo0tPrxV2NH+JZ6+dITACevHERbsvhWh5ERETx7v7Xt6PraDcumjkdd6ri58I5C+RERBRV/rOrCxs+/gqJCcDvv3e+1HGIiIiiSnevF7f/tQUNrXuQlJiA527ORvGiWVLHIiIiIon9034A9f/ZBQD40/UXIikxfkZqs0BORERRQxRFVLy2FQBwh+ocZJ01XeJERERE0eNEjxc3PWfFxk++wsSkBLx4aw5uuGim1LGIiIhIYse6e6E1fAQAKLnsHHw783SJE4UXC+RERBQ1/rZtH95ud2LyhEQ8uGSB1HGIiIiixrHuXhQ+Y8Hftu1D8oREGG/PxdVZXOSaiIiIgN+YdmDngcOYmZIM3dVZUscJOxbIiYgoKvR6RVT+bRsA4KdXCpgtnyJxIiIiouhw5EQPlj1lwaYd+zF5QiJeulOFJeeeKXUsIiIiigAf7nHj4bfsAIDaZRdBPmWixInCjwVyIiKKCs9aP8eWvQeROmUiKq7KlDoOERFRVDh0vAfXPfEB3rJ3YurEJLx61yW4al58DZsmIiKiofX0erG88UP0ekUUXDQT118Yn1OvsUBOREQR72h3L3795nYAwP1585E6dZLEiYiIiCKf51g3rn7sfbzb0YXpyRPwt+WX4JuKdKljERERUYT449vtsH7uhnzKRPz5hguljiOZRKkDEBERjab23Q587j6GOfLJKLsiQ+o4cc/tdmPp0qVSxyAiohF0HTmBJfr/4N2OLsgmT8Am7WUsjhMREZGP/cBh/PrvfR3RHr4mC2elTJY4kXTYg5yIiCJa15ETqNq8EwDwm6XnYfLEJIkTkcPhgMPhkDoGERENo/PwCSypfw8tX3iQNnUiNmkvg3K2XOpYREREFCFEUcSK9R/haLcXi+edjh9dMkfqSJJigTxEVCoVkpKSUFZWhrKyMqnjEBFFreqmNnQd7caFZ03HrTmzpY4TErW1taitrUVvb2/Q971y5Uo4nc6g7tNsNgd1f0REFDz7Dh5Hfv17+PjLgzhj2iSYV1yOi2amSB2LiIiIIsjTls+xeecBTJ6QiDrNxUhISJA6kqRYIA+R5uZmpKTwiygR0Xjsdh3Fn95pBwBUff98JCXGZqPdfzHV4/FAJpMFdd8NDQ1wu90QRTEo+0tISIAoinH/BYqIKBJ96TkGdd172LbvEM6angxz6eXIOmu61LGIiIgoguw9eBz3vrIFAPDQ0nMx7/RpEieSHucgJyKiiPXgpk9xvMeLbwlp+P75Z0odJyoJggCNRoOuri54vd5hf/R6PbRaLex2O7q6uob82bRpEwoKCmA0GoPeK52IiMZnt+sovv3ov7Ft3yHMlk3GP+/+BovjRERENMj/vPQJuo52QzlLhp9/S5A6TkRgD3IiIopIW746iKebdwMAdFdnscfyGKWlpaG0tHTEnukdHR2w2+2oq6sbcV9qtRpqtRorVqyAWq0OdlQiIhqjDucR5NW9h3bnEcxNnYKmFd+AIn2q1LGIiIgowryy5Ss0frgHSYkJWFe0EBOS2HcaYA9yIiKKUL94Yxu8IlBw0UxcOjdV6jhRS6fTITc3d8Rt9Ho9qqur/d5nXV0d6uvrxxuNiIiCoMN5BN9+9F20O48gM30q/nk3i+NEREQ0mPtoN+5e/zEA4N5vZyJ7VnCn94xm7EFOREQRp2nnAbyyZS+SEhPwu++dJ3WcqJadnT3qNmlpaQHvN1hzmhMR0dgdOdGDG55qxm7XMZx7xjRsXvENnC2bLHUsIiIiikCrX9+GPZ5jmHf6NDywZIHUcSIKe5ATEVFEcR45gTtebAEAaC+bi3PPPE3iRLHP4XAE/BjOQU5EJC1RFFFq/Agf7vHgzNMmYVPp5SyOExER0ZDednRC/94uAEC95mJMmZgkcaLIwgI5ERFFDFEUoTV8iM/dx7DgjGnQXX2+1JHiwlgK5GN5DBERBc8f327H87YvkJSYgIbbcjBHPkXqSERERBSBjnX3osTwIQBg+aXn4DvzTpc4UeRhgZyIiCLGuvc/w4aPv8LEpAS8cIsSpyVzJrBwyM7OxuOPP+739k1NTZxihYhIQm+1HcCq17YCANZcm4VvZ/JEl4iIiIb2O/NO7Nh/GGdNT0bNNVlSx4lIrDwQEVFE2Lb3IH7+8icAgP/93vlQzpZLGyiOVFdXY968eQCAu+66a8Rtm5qaUFpaCpPJFI5oRER0it2uoyh+1oper4hblLPw028qpI5EREREEeqjPR7U/KMNAPCXZRdBPmWixIkiEwvkREQkuWPdvbj5eRuOdnuxZMEZ+Pm3BKkjxZ26ujosWbIEOp0OBQUFUKlUkMvlAACXywWHw4GGhgbYbDYYDAZkZGRImjdYVCoVkpKSUFZWhrKyMqnjEBGN6Fh3LzRPW7D/8AksOjsFes3FSEhIkDpWXKmtrUVtbS16e3uljkJERDSiXq+I5Y2t6PGKWHbRWVh20UypI0UsFsiJiEhyla9vw4d7PDhj2iQ8deMiJCbyZD/c1Go1LBYLCgsLodPpBhVcRFGEXC7Hpk2bkJeXJ1HK4GtubkZKSorUMYiIRiWKIn688RM073YhbepErP+hClMn8XQu3PovqHo8HshkMqnjEBERDeuPbztg+dwN2eQJ+NP1F0kdJ6LxGxUREUnqjW178ce32wEATxQvwlkpkyVOFL+USiXsdjtqampgNpt9C3EKgoD8/HysWrVK4oRERPGr/j+78MQHnyExAXjhFiUU6VOljkRRZP78+di5c6fUMYiIKEwcnYfxqze3AwAevjYLZ8t4nj0SFsiJiEgyew8ex50NrQCAn3xTgauzZkgbiAAA5eXlKC8vlzoGERF97b0OJ376Ut86Hb/73nlYcu6ZEieiaNPZ2Sl1BCIiChNRFLHC+BGOdnvxncx03HXJOVJHingskBMRkSS8XhF3vNiCfYdO4OKZKdBdfb7UkQh9i3CaTCbYbDaUlpZi2bJlvvtWr16NFStWxMz840RE0eArzzEUPmNFd6+IgotmouKqeVJHogjg8XhQX18Pk8kEp9M54rYOhwNutztMyYiISGrPWD6HeecBTJ6QyPVK/MQCORERSeKP7zjw90/3Y/KERLxwixKTJyZJHSmudXR0oLCwEDabDaIoAgDy8/MHbFNZWYmqqiosWbIEixcvliImEVFcOdHjRdGzVuzxHEPWjNPwRPEinuQS3G43FAoFXC6X34/h54aIKD7sPXgc97yyBQDwwJJzMf+M0yROFB0SpQ5ARETxp+ULN1b/bRsA4P+uuwBZZ02XOBGp1Wp0dXWhrq4OVqsVXV1dg7aRyWSorq7Gpk2b0NHREf6QRERx5t5Xt+CddidSJk/AhjtUmD6Z/ZsIKCkpQW5uLqxWK7xe76g/TqcTcrlc6thERBQGP3v5E3Qd7Ub2rBTc+21B6jhRg9+wiIgorI529+Lm5/qGil9/4VkovXyu1JHi3urVq6FWq1FXV+fX9tXV1Vi5ciXWrl0b4mRERPHrGctu1L7bAQB47mYlFrAHGH3N4XDAYrH4vb1cLkdqamoIExERUSR4dctXaGjdg6TEBKwrXIgJSewX7S8eKSIiCquqzTvx6f7DODtlMtYVLuSQ3wjgcrn8Lo7365+GhYiIgs/2uQsrjB8BAH6dvwDXcBFrOklubm7AjzEYDCFIQkREkcJzrBt3b/gYAHDPtwQoZ8ulDRRlWCAnIqKwaTtwGA+/ZQcA/PH6C5A+bZLEiQgY27ykvLBBRBQaBw4fx7KnLDjW48U158/Ar/MXSB2JIsxYeoNnZ2eHIAkREUWK1X/bhi/cx5CZPhUPLOF3h0CxQE5ERGEhiiL+56VPcLzHiyULzsCyi2ZKHYnGweFwSB2BiCjm9PR6cdNzNnzmOor5p0/DMzdnIzGRFyRpoLS0tIDXAmlqagpNGCIiktw77Z2oe28XAKC+cCGmTuKM2oFigZyIiMLilS178cb2fZiYlIA/3XAheyBHkM7OTuzatcvv7Tds2ACFQhHCRERE8en+N7Zj884DmDYpCRvuUEE+ZaLUkSgCrVq1CtXV1fB4PH4/prS0NISJiIhIKse6e1HS+CEA4EeXnIOr5p0ucaLoxEsKREQUckdO9OBnL38CALj325lcaCzCaLVaaDQaGI1GzJ078qKpmzdvRklJCaxWa5jSERHFh4bWL7Dm62nInihehAvOmi5xIopkdXV1qKysBADk5+dDEASkpaUNua3dbofT6QxnPCIiCpPff73G11nTk/HwNedLHSdqsUBOREQhV93Uhl1dRzFHPhm/yJsvdRw6hVqthslkgiAIqKiogFqtRm5uLjo7O3290ywWC/R6PYxGI+rq6pCRkSFtaCKiGPLxlx7c1dDX+2vVdzJRuPBsiRNRJEtMTBwwEq+mpkbCNEREJJWP9niga2oDAPz5hguROpVrfI0VC+RERBRSbQcOo+YffT3i/u+6CzAtmU1PJNLpdACA6upq3/8DA0+6RVGEXq9HSUlJ2PMREcWqriMnsOypZhzp7oV6/un4/ffOkzoSRThBEOBwOKBWqyGXy0fd3m63o7W1NeS5iIgofHq9IkoMH6LHK+KGC89CwcW8uD4erFIQEVHI9C/MeaKXC3NGA51Oh9LSUlRUVKClpWXAQpwajQY6nY5zjxMRBZHXK+K2F1pg7zyCualT8NdbczAhictE0cjkcjmMRiOWLVvm92PS09NDmIiIiMLtT+840LzbhZTJE/DnGy6SOk7UY4GciIhChgtzRh9BEGAwGHy/u91uyGQyCRMREcWuBzd9ite378PkCYnYcIcK6dM4NJpGl5ubC0EQAnoML3ATEcWO9s4j+NUbnwIAaq7JwtmyyRInin4skBMRUUhwYc7YwOI4EVFovPzJV/ideScAQF94MbJn8e8t+aeuri7gx1gslhAkISKicBNFESvWf4gj3b34tpCO5ZecI3WkmMDxe0REFBJcmDN6rF+/HklJSbj//vuljkJEFBc+3XcIt/+1BQDw428qcFvOHIkTUbTzeDxobW1FU1MTOjo6pI5DREQh8qz1c5h2HEDyhEToCy9GYiJHaQcDC+RERBR0XJgzujQ0NEAURdjtdqmjEBHFvIPHerDsqWYcPN6DKxVpeOTaLKkjURRrbW2FSqVCamoqcnJykJ+fj8zMTCxYsAAbN26UOh4REQXRvoPHcc8rWwAADyxZwFHaQcSKBRERBRUX5ow+giCgq6uL06kQEYWYKIq4s6EF2/YdwizZZDTenouJXJSTxmjFihWor68H0LdwZ1paGgDA6XSira0NGo0GhYWFePHFF6WMSUREQfKzlz+B80g3Fp2dgnu/nSl1nJgSkgJ5U1MTHA4H7HY7HA4HXC6X7z65XA5BEJCZmQlBEJCbm4uUlJRQxCAiIglwYc7o43K5Ai6OFxcXo6GhIUSJiIhiU3VTGzZ8/BUmJSXCeHsuZkxPljoSRanKykpYLBaYTCbk5eUNut/tdqOhoQE1NTW4++678eijj0qQkoiIguW1rXvxYuseJCYA64oW8gJ7kAWlQN7R0QG9Xg+z2QybzQZRFAH89yp2/3+dTifsdjtMJpOvaJ6QkAClUgm1Wo0VK1Zg7ty5wYhEREQS4MKc0am6ujrggrfNZgthIiKi2PP3T/fhl29uBwD8+YYLcencVIkTUbRqaWmByWQaceFNmUwGrVYLrVaLJUuWoLW1FYsWLQpfSCIiChrPsW7cvf4jAMDPv5WJnNlyaQPFoHFdbmhqasKSJUsgCILvyvWmTZtgt9vh9Xp9Q7ssFgs2bdoEi8WCtrY2OJ1OeL1e2O12bNq0CUVFRTCZTFAoFFCpVPjHP/4RrNdHRERhxIU5o5NcLkd9fT1WrlyJNWvWoLW1FR6PZ9jt29vb4XQ6w5iQiCi6OToP4+bnbBBFYPml56DkMnYKorGrr6/H5s2b/d6+sbERVVVVIUxEREShdP/r2/G5+xiE9Kl4aOkCqePEpDH1IO/o6IBWq0V7ezvKy8thMBjGNG+pQqGAQqFAXl4eVq1a5RsGVlJSgszMTNTX17NHORFRlODCnNFr/vz/Xszon8uUiIiC48iJHhQ8bUHX0W5ceo4cf77hQqkjUZQTRTGg82+5XI6urq4QJiIiolB5t92Jte91AAD0mosxdRLPs0Mh4KO6fv16VFRUoKamBsuWLQtqmJOHgRmNRuTl5eHhhx/GDTfcENTnISKi4OLCnNFNFEU4HA4olcoh5zE9ld1uR0dHR+iDERFFOVEUoTV8hA/3eHDmaZNguD0XyROSpI5FUS41NfDpeQRBCEESIiIKpeM9vSgxfAhRBO68ZA7y5p8hdaSYFVCBfPXq1XC73WhrawtVHh+NRgONRoPVq1fjgw8+4JAwIqIIpn9vFxfmjGL9U6wsX77c78ekp6eHMBERUWz449vteKHlC0xITEDjbbmYLZ8idSSKAf3reQWCPciJiKLP7807sX3fIcyYnow112RJHSem+T0H+cMPPwyVSoW1a9eGMs8g1dXVyM3NxZo1a8L6vERE5J9/2Tvx05f6Fub8zdLzuDBnFBIEAbm5uQE9Ziy914iI4slbbQew6rWtAIA112bhW5m8sEjBIYoidu3a5ff2ra2tbLeJiKLMx196UN3U10H5z9dfiNSpkyROFNv87kGuVquRnZ0dyizDKigoQEtLiyTPTUREw/us6wgKn7GgxyuieNHZKL8qU+pINAaNjY0BPyYco8mIiKLVbtdRFD9rRa9XxK3KWfjJNxVSR6IYUl5eDrVaDZvNhunTp4+4bXt7O/Ly8mC1WsOUjoiIxqvXK0Jr+BA9XhE/uGAGCi7mFKah5ncPcqmK45Hy/ERENNCREz244alm7D98AtmzUvB40UJOrRJDPB4PWltb0dTUxPnGiYgCcKy7FwVft4+Lzk5BneZito8UVIIgoKqqChkZGbj//vvR2toKj8fju9/j8aCpqQnFxcWYN28eqqurkZGRIV1gIiIKyF/ebcf7n7mQMnkC/rLsIn6PCAMufUpERAETRRHLGz9EyxcenD5tEjb8UMXVtGNEa2srSkpKYLPZBtyemZkJnU7HhbOJiEYgiiLKNn4My+dupE2diA13sH2k0NBoNHA6nVixYgV0Ot2Q24iiCJ1Oh5KSkjCnIyKisepwHsEvXt8OANBdfT5mybh+STj43YM8mDo6OtDR0THgKjcREUWPh9+y48XWPZiQmADD7TmYmzZV6kgUBCtWrIBSqYTVaoVMJoNCoYBCoYBMJkNbWxs0Gg1uvPFGqWMSEUUs/Xu78OQHu5GYAPz11hxksH2kENJqtXA6nVi+fDlkMhlEUfT9FBQUwG63Y9WqVVLHJCIiP4miiJXrP8KR7l58S0hDyaVzpY4UN0JSIF+5cuWI95tMJphMJuj1eqxYsYILcBIRRZE3tu1F5evbAAB/+MGF+Hbm6RInomCorKyExWKByWSC1+uF0+lEW1sb2tra4HQ60dXVhbVr18JiseDuu++WOi4RUcR5r8OJ/3m5b9Hq33/vfOQvOEPiRBQP5HI59Ho9nE4nvF4vurq64PV60djYCIWCc98TEUWTZ62f4++f7kfyhEToNQuRmMipVcIlJOP9zGbziPefOsSrpaUFa9aswX333ReKOEREFCQ79h/Czc/bIIrA8kvPwcpv8Ip2LGhpaYHJZILFYhl2G5lMBq1WC61WiyVLlqC1tRWLFi0KX0giogj2pecYNM9Y0N0rQnPxTC5aTZKRyWRD3u7xeJCSkjLm/ZrNZphMJmRmZsLlcgHoWyx0vGpqaqBUKqFWq8e9LyKiaLZj/yH8eOPHAIBf5S/AuWeeJnGi+BKSHuSiKAa0fXZ2Nux2eyiiSEalUiErKwu1tbVSRyEiCgrPsW5c/2Qz3Md6cEVGKv5yAxcLCZba2lpkZWVBpVJJ8vz19fXYvHmz39s3NjaiqqoqhImIiKLHiR4vip6x4EvPcVwwYzqeKF7E9pEiTk5OzpgfazQaodfrodPpoNVqUV5eDqVSifz8/HFlcrlcqKio8BXciYji1dHuXhQ/a8Wh4734tpCO8u/wQnu4haQH+Vi+EDocjhAkkU5zc/O4rtATEUUSr1fErc+3YPu+Q5glmwzD7bmYNEGSZSxiUllZGcrKyuDxeIbt+RVKoigG9LxyuRxdXV0hTEREFD3ueWUL3u3ogmzyBGy4IxenJXNRTgqtQNfystvtcDqdY3oul8uFkpIStLe3D7hdrVajoqIC9fX10Gq1Y9p3fX39mB5HRBRrfv7yFny4x4Mzpk3C87coMSGJ59rhFpIj7m/j6/F40NraiqVLl4YiBhERBcmv//4pXtu2F5MnJGLjHSqclTJZ6kgURKmpqQE/RhCEECQhIoouTzfvxqP/7gAAPHuzEvPP4HBoCo6ioiIkJSXh8ccfH3SfXC5Hamqq3z+5ublj7qXd2NgIQRAgl8sH3VdcXAy9Xj+m/ZrNZk6rQkQE4K8tX6D+P7uQkAA8e3M2zpbxXFsK4+reUFRUBIfDAYfDAbfbPeC+pKQkv/cjCAJMJtN4ohARUYgYPtyD/928EwBQX7gQuXPk0gaioBvLSTN7kBNRvLN+7sKK9R8BAB5YsgDXZM2QOBHFEqvVClEUYbFYcNdddw24TxAEOJ1OqNVqpKWljbgfp9MJu92O1tbWMeUwGAzDPocgCLDZbHC5XEMW0Edis9mCMoc5EVE027H/EEqNHwIA7s+bjyXnnilxovg1rgJ5Y2Oj7//NZjN0Oh02b96MhIQE5OXl+bWP/Px8aLVaSYaUExHRyBydh3Hni60AgHu+LeDWnNnSBqKQEEURu3btwty5/i262traOqZe56FQWlqKnJwcCIIw6AR+uB5vRETjtf/QcRQ8ZcHxHi+uzZqBX6kXSB2JYozZbIbRaBxy+hJBEFBTU4Nly5b5vb/09PQx5bBYLCgqKhryvv7RZA6HA0ql0u991tfXszhORHHv2Cnzjj+Qz+8SUgraBHlqtRpqtRqlpaVoamrCpk2bgrVrIiKSgCiKKDV+hCPdfQ129ffPlzoShUh5eTnUajVsNhumT58+4rbt7e3Iy8uD1WoNU7qRWSyWIecwlcvlg+ZLJSIKhp5eL256zobPXEcx//RpeOambCQmclFOCi6FQoFVq1YNeV9+fn7AU50pFIox5fCnd3ggBXKHwzFqr3cionjw81c473gkCfrR1+v1EEUx2LslIqIwe9ryOTbvPIDJExKxrmghG+wYJggCqqqqkJGRgfvvvx+tra0DFgDzeDxoampCcXEx5s2bh+rqamRkZEgX+CRqtRqiKA74sVqtWLduHXuPE1FIVL6+HU1tBzBtUhI23KGCbMpEqSNRnFm1ahUWLVoU0GMsFkvQc/S3s4EsAGo0GqHRaMb0fB6PZ8DP8ePHx7QfIiKpvdjyBfTvcd7xUDh+/Pig9sIfIVlivaKiIhS7JSKiMNl78DjufWULAOChpedi3unTJE5EoabRaOB0OrFixQrodLohtxFFETqdDiUlJWFON7zi4uJBt5nNZg7dJqKQaGj9Ao/80w4AeLJ4ES44a+RRN0T0X+MpjgPAnDlzBvz+wAMP4MEHHxxnKiKi8Nq5/xC0X887XrmY844HW1VVFR566KGAHxeSAnkknTgTEVHgfvbyJ+g62o3sWSn4+bcCG8JL0Uur1aKoqAgVFRUwGAwDFu/UaDTQ6XRjHqJ9MpfLhYqKCsjl8mGL8UBfodtkMiEzM9OX5dTC96lDuisqKkbcJxHRWH38pQd3NfSd0JZfNQ+ahWdLnIhoaB0dHQCAtLQ0pKSkhOx5+ttmf6ZMcblccDqdAU8Nc7Ldu3cPeD3Jyclj3hcRkRSOdfei6Ot5x78lpOHBJZx3PNgqKytxzz33+H73eDyDLrAOJSQF8lM99thjMJlMcDgcAPqGci9ZsmTQatxERCS9V7d8hYbWPUhKTMC6Qk6tEm/kcjn0ej30ej0AwO12B20h7YqKCjgcDqhUKpjNZqjV6mG3NRqNaGhogMFg8N1mNpuRn58Pk8k05GPMZjNUKlVQshIRnazryAnc8FQzjnT3In/B6fj9986TOhLFsZUrV2Lt2rXD3t/fTrpcLtjtdsybNw/33XdfuOINKRgLc6akpIS04E9EFGonzzv+wi05PNcOgeTk5DFdQA1pgbypqQmlpaVwOBwD5iW3Wq0wGo3Q6XQwmUyYO3duKGMQEZGfPMe6cfeGjwEA93xLgHK2XNpAJLlgFccBDOjZ3dDQMOx2LpcLJSUlgxbZVKvVqKioQH19PbRa7ZD7H654TkQ0Vr1eEbe+0AJH5xFkpE7BC7fkIImLcpKEzGbziPefOqK7paUFa9asGVORXBAEX0e3U/XPPT5ar3Cbzeb3Ip5ERLGK845HtpAVyDds2OCbX0yj0UClUvkazubmZthsNpjNZgiCALPZjKuuuipUUYiIyE+Vr2/HF+5jyEyfigc43Iu+Fq6h2v0aGxshCMKQi2wWFxdDr9cPKpDbbLaAFgkjIvLXg5s+xRvb92HyhESsv0OF9GmTpI5Ece7kzmf+yM7ORn19/ZieS6lUDphy7WT9hfPRit8OhwMNDQ2+0Wn9+vdbVVWFhoYGpKWlDdqGiCgWcN7xyBeSAnl7ezuWL18+7HylBQUFvu3Ky8uh1Wqxc+fOUEQhIiI/vdvuxNp/dwAA6gsXYuqksMzCRREg0oZqGwyGYeczFQQBNpsNLpdrQAG9oaFhXPOaEhEN5aVPvsTvzX3nKfWFC5E9K3ijaojGKiEh8BEMw/UCH01+fv6wa3vY7fYRp0vrp9Fohlyc0+VyITU1FZWVleNavJOIKJJx3vHoEJLJbnQ6HYqKitDY2DjiYl4KhQIGgwHZ2dlYs2ZNKKIQEZEfjvf0osTQd0X7R5ecg6vmnS5xIgonf4Zql5SUYNWqVairq0NeXl5I222LxTJssbv/9lNP9G02m1+LhBER+Wv7voP44V9bAQA/vVKBW3NmSxuI6Gv+jpjyeDxobW3F0qVLx/xcRUVFcDqdQxbYjUYjSktLB9zmcrlG/V5BRBRPOO94dAjJu7J582bU1dX5vX1jYyPa2tpCEYWIiPzwe/NObN93CDOmJ+Pha86XOg6F2ViGatvt9hClwaDe4UM59UTd4XCM+piheDyeAT/Hjx8PeB9EFHs8x7qx7CkLDh7vwbeFdDx8TZbUkUhix48fH9RmhFpRURFyc3ORlpaGpKQk34/L5Rrw+3A/qampyMnJgcPhGPPUJXK5HOvWrUNFRcWA241GIwRBGNTzu7CwEPn5+X5N6dLflnOKNCKKVQ2tnHc8WoRk/Hx2dnbAj0lNTQ1BEiIiGs3HX3pQ3dR3kfLP11+I1KmcWzXehHOo9nj1F8FPPZmWy+VQqVQB72/OnDkDfn/ggQfw4IMPjjUeEcUAr1fEnS+2Yvu+Q5glm4wXb8vBRPb2intVVVV46KGHwvqcjY2Nvv83m83Q6XTYvHkzEhISkJeX59c+8vPzodVqx7XotkajgVwuR0VFBTIzM31zhw+1MHZ+fj4sFgtyc3OH3Z/NZkNVVZXvu0RFRQVMJpMvKxFRLNi5/xC0ho8AAKsXz+O84xEuJAXy9PT0gB8z3MIfREQUOr1eEVrDh+jxivjBBTNQcPFMqSORBAIZqu1wOAb1IosEVqt1TI/bvXv3gIVHk5OTgxWJiKJU9T/asPGTrzApKRHrf5iLGdP5d4GAyspK3HPPPb7fPR7PoIusoaRWq6FWq1FaWoqmpiZs2rQpbM998vOPpry8HOXl5SNuo1QqYTAYghWNiCjiHOvuRfGzVhw83oMrFWl4aMm5UkeiUYSkQD6Wq9MjDe9uamrC4sWLxxOJiIiGUPtuO97/zIWUyRPwl2UXjaknMUWPoqIiOBwOOBwOuN3uAfclJSX5vR9BEIbsNRYO/RfUgzXfeEpKyoACORHFtze378Ov3twOAPjLsgtxyTkc5Up9kpOTI+Iiql6vx7x586SOQUREI7jnlS1o3ePB6dMm4YVblZx3PAqEpEBeWVmJNWvW4L777vNr+6HmNDtZaWkpdu7cGax4REQEYJfzCH7xRl8RQHf1+ZglmyJxIgq1SBmqTUQUiRydh3HL8zaIIlBy2TlYfulcqSMRDSkSR3IREVGfhtYvUPfeLgB9847zPDs6hKwHeUFBASorK7FixQrMnTv0l0uPx4Oqqirk5+dDoVAMuU1LSwsX7SAiCjJRFLFy/Uc4fKIXVyrSUMIiQNyReqj2SARBGHaO8/7vBIIghDMSEcW4w8d7sOwpC7qOduOyuan40/UXSh2JaFglJSUA+s6nzWYzlEolMjIyBm23YsUKrF69esj7iIgo+E6ed7wybx6Wct7xqBGSAnlaWppv6HZNTc2o2/uzDRERBc8LLV/gzU/3Y1JSIuoLFyIxkVOrxKtIHKqtVCqHXZukv3CuVCrDmIiIYpkoitAaP8JHX3owY3oyDLfnIHmC/9NOEUlh/fr10Ov12Lx5M1JTU3HgwIFB2+h0OlRVVeGSSy7BsmXLJEhJRBQ/OO94dAtZgdzlckGpVI57jlC73Y6Ojo7gBCMiIuw/dBw/e+kTAMCv8ufj3DNPkzgRSS3Shmrn5+dDp9MNeZ/dbvdrkTAiIn/94W0H/tryBSYkJqDxthwOhaaI197eDofDAYPBgIyMDGg0miG3k8lkqK6uxsMPP4yOjg72JCciCiHOOx7dQlIgl8vlMBqNQbtKnZ6eHpT9EBERcO8rW9B5pBsXzZyO8qsiq+cwSaN/qHYgPB5PyBa3LCoqQkVFBRwOx6CpVIxG47DFcyKiQP2j7QDKX9sGAHjkugtwpcDzDop8NTU1WLt2LQCgq6tr1O1XrVqFlStX+h5DRETBxXnHo19ILmcIghDUuUFTU7l6PBFRMLy5fR+es32BxARgXeFCTORVbRqjnJyccT3e5XINu8aIXC4fcgFvo9EIQRCG7Sk3FiqVCllZWaitrQ3aPokoOux2HcWNz1rR6xVxW85s/PiKDKkjURSora1FVlYWVCqVZBlEUQzLY4iIaHRtBw5z3vEYEJIe5I2NjUHdX1tbW1D3R0QUjw4d78EKY1/D/dMrBVxyDi8+Uh+PxxPQ9na7fUwLaNfU1KC5uRkOh8P3k5+fD7lcjuLi4gGFb41GA7lcjoqKCmRmZvrmJDeZTAE/70iam5tD1hOeiCLXse5eFDzVjP2HTyB7VgrqNBcjIYHrcdDoysrKUFZWBo/HA5lMJkmGsXxW/elpTkREgembd9zCecdjQEgK5EREFHl++eZ2fOY6iozUKfjtUjbc8aaoqAjr169HfX097rrrrgH3yeXysBSGysvLA9perVZzvnEiComyjR/D8rkb6VMnYv0PVZgykYtyUvToX7A61I8hIqKR3fvqVrR8wXnHY0FYCuSPPfYYTCaTr1EWBAFLliwZdIJORESh8f6uLvz5nXYAQJ3mYkxL5vXReGO1WiGKIiwWy6D2VxAEOJ1OqNXqURfXdjqdsNvtaG1tDWFaIqLQefz9z/DkB7uRmAD89dYcZKRNlToSUUAUCgU2btyIG264wa/tKysrxz01GhERDdTYugdr/90BAHjmJs47Hu1CWiFpampCaWkpHA7HgDnPrFarb5Etk8mEuXPnhjIGEVFcO9HjRYnhQ4gicHvObCzhnGhxyWw2w2g0QqvVDrpPEATU1NQEtLg2F9AmomjU8oUbP974MQDgt989D+oFZ0iciChw5eXlyM3NBYBRi+SrV6/GunXr0N7eHo5oRERxoe3AYZQYPgQArF48D989j+fY0S5kBfINGzb45hLVaDRQqVS+hTubm5ths9lgNpshCALMZjOuuuqqUEUhIoprNW+14ZOvDuKMaZPwyHUXSB2HJKJQKLBq1aoh78vPzw94cW2FQhGMWEREYeM62o3CZyw43uPFNefPQMVV86SORDQmgiCguroaBQUFyM3NRVFREQRB8I0Ic7lcaG5uRn19PVwuFxobG7neBhFRkJw87/g3FWn4DacvjQkJYgiWs25vb0dOTg7UajV0Ot2wJ9Ht7e0oLy9Ha2srdu7cGewYkuhfrMXtdvNLCBFJbtveg8j+v3/hRK8Xz9+ixE3Zs6SORCNgGxI+PNZE8cXrFbHs6Wa8smUvMlKnwPrzbyF16iSpY1EUi4R2pH9kmNvtHnSfKIqQy+UwGAzIy8uTIF3wRMKxJiLqV7bhY6z9dwdOnzYJtp9/C7PlnFolkvnbhoRk9nidToeioiI0NjaO2MNMoVDAYDAgOzsba9asCUUUIqK45fWK0Bo+xIleL75/3pm4cdHZUkciIiKSxMNv2fHKlr2YlJQIww9zWRynmKDRaNDe3o6qqipkZ2dDoVBAoVAgLy8POp0OTqcz6ovjRESR5NR5x1kcjx0hKZBv3rwZdXV1fm/f2NiItra2UEQhIopb+v/swrsdXTgtOQmPFlyEhIQEqSNRDJk/f77UEYJCpVIhKysLtbW1UkchohB5q+0AfvHGNgDAn264EDmz5dIGoqhWW1uLrKwsqFQqqaMAAGQyGcrLy2GxWNDW1oa2tjZs2rQJGo0Gra2t6OjokDoiEVFM4LzjsS0kc5BnZ2cH/JjU1NQQJCEiik+fu45i9d/6igH/+73zcU7qVIkTUazp7OyUOkJQNDc3c7g2UQz70nMMNz1vg/frhapLLj1H6kgU5crKylBWVuYbsh2pXC4XHA4HnE4nbDYbKioqkJGRIXUsIqKoxHnHY19ICuTp6ekBP8blcgU/CBFRHBJFEWUbPsbB4z24fG4qVn4jQ+pIFAU8Hg/q6+thMpngdDpH3NbhcAw53ykRUSTp6fXipues2HvwOC6aOZ2jqSiuZGdnD+i4VlxcjIaGBgkTERFFr/te3YqWLzw4fdokvHCLEhOSQjIhB0koJAXysVxJH2mt0KamJixevHg8kYiI4obhwy/x6ta9mJiUgPrChUhKZDGARuZ2u6FQKAK6WM0iExFFuvvf2I5/OZyYnjwBhttzMXVSSE59iCLehg0b4HA4pI5BRBSVDB/uwaOcdzzmheSSR2VlZUCLbq5btw4VFRXD3l9aWhqMWEREMc955AR++tLHAIDKxfNxwVnTJU5E0aCkpAS5ubmwWq3wer2j/jidTsjlcqljExEN66VPvsSat+wAgCeKF2LBGadJnIgo+B577DGoVCqkp6cjKSlp2J/CwkKeUxMRjUHbgcNY3sh5x+NBSArkMpkMBQUFqKysxK5du4bdzuPxoLKyEpmZmVAoFENu09LSMupQbyIi6nPfq1ux79AJZM04DZV586SOQ1HC4XBg06ZNfq8hIpfLuXYIEUWstgOHcceLrQCAn31LQMHFZ0sbiCgEVq5cCa1WC6vVitTUVGRnZ0Mmk/mmVlEoFBBFEdnZ2TAYDFi+fLnUkYmIogrnHY8vIRlnmJaW5pubtKamZtTt/dmGiIhGZtqxH08170ZCArCucCGSJyRJHYmiRG5ubsCPMRgMIUhCRDQ+R7t7UfiMBZ5jPbgiIxW6q8+XOhJR0LW0tKChoQEGgwEFBQW+21evXo3q6uoB265fv57TqxARjUH/vOPpUydy3vE4ELICucvlglKpRFpa2rj2Zbfb0dHREZxgREQx6uCxHmgNfUO/yq5Q4PKM8f3tpfgylt7g/vY2JyIKp7INH+PDPR6cedokvHhbDibyZJZiUHV1NTZv3jyoLR5qfZCCggJs3rwZGzZswLJly8IVkYgoqnHe8fgTkgK5XC6H0WgMWgOcnp4elP0QEcWqyte3YVfXUSjSpqLqe+dJHYeiTFpaGjo6OpCRkeH3Y7iANhFFmsff/wxPNe9GYgLwwi05mCXjySzFpv4pVU41XE/xvLw8VFZWskBOROSHk+cdr1g8D987f4bEiSgcQtKlQhAECIIQtP1xnlMiouH9y97pu7pdX3gxpiWH5NonxbBVq1ahuroaHo/H78fEymJfKpUKWVlZqK2tlToKEY1D6xdu/Hhj3yLVv/nueVg8/3SJE1Gsqq2tRVZWFlQqlWQZhjs/zs3NRVNTU5jTEBHFjpPnHb8iIxW/5bzjcSMkVZTGxsag7q+trS2o+yMiihVHTvRg+ddTq5Rcdg7y5p8hcSKKVnV1daisrAQA5OfnQxCEYadJs9vtMbOAdnNzM1JSUqSOQUTj4DraDc0zFhzv8eKa82dg9VVcpJpCp6ysDGVlZfB4PJDJZJJkEEVxyNs1Gg1WrFgx5Agvl8sV4lRERNHv5HnH/3prDucdjyPsZkhEFMV+/fdP0XbgMGbLJqPm6iyp41CUSkxMHDBvKRfPJqJoIYoi7nyxBY7OI8hInYKnblqExMTB8zATxRKVSuWb6qypqQk2mw333XcfFAoF7HY7HnnkEdx7772+7dvb22GxWCRMTEQU+Rpav+C843GMBXIioij1n11d+MO/+uaarNNcDNmUiRInomglCAIcDgfUajXkcvmo29vtdrS2toY8FxHRaB5+y46Xt+zFpKRENN6ei7Spk6SORBRyBQUFWL16NVwuF5YvXw632w1BELBs2TJUV1ejqKgIJpMJGo0GLpcLVVVV0Gq1UscmIopYj77bgf95+RMAnHc8XvldIF+xYgVWr14d0AJewdLR0QGdToe1a9eG/bmJiCLR8Z5e3NXQCq8I3JYzG99nA07jMJbFtbmANhFJ7Z/2A7j/9W0AgD9efwFy58ilDUQURtXV1Vi/fj2KiorgdDqhVqsB9E2zUlJSgnXr1sFkMkEURcjlct80akRE9F89vV787OUtvp7jt+XM5rzjccrvAnldXR2WLFmCyspKXHXVVaHMNMDmzZtRU1ODv//972F7TiKiSPdb005s23cIM6Yn4//94AKp41CUy83NDXhxbYVCEaI0RESj+9JzDDc+Z/NdKNZeNlfqSERhV1BQgIKCgkG36/V6FBYWwmg0IjMzE1qtluttEBGdouvICRQ/a4V55wEkJAC//955qLhq3oCpJyl+BDTFyqZNm1BUVITGxkbU1NRg+vTpocoFj8eD8vJydHV1sThORHSSli/c0P2jb/Hi2mUXcTg5jVtdXV3Aj+FcpkQklZ5eL256zoq9B4/jwrOmY23BRTyZJTqFWq329SonIqKBduw/hOue+AA79h/GtElJePbmbFx/4UypY5GEAl6OtbGxEdnZ2Zg7dy4qKyuxa9euoAbq6OjA6tWroVAokJubi4aGhqDun4gomnX3enFXQyt6vSIKL56JZRexEafQ8Hg8aG1tRVNTEzo6OqSOQ0Tkc/8b2/EvhxPTkyfA+MNcTJ3EZZWIiIjIP5t37sdlf3oHO/Yfxhz5ZLzz4ytYHKfAC+QAoNVq0d7eDq/XC4VCAZVKhTVr1ox5wa7W1lasWbMGS5YsQWZmJtxuNxwOB5YvXz6m/RERxaqaf7ShdY8H6VMn4k83XCR1HIpBra2tUKlUSE1NRU5ODvLz85GZmYkFCxZg48aNUscjojj30idfYs1bdgDA40ULseCM0yRORBR+69evR1JSEu6//36poxARRZW1/+7Ad9e9D9fRblw2NxXv//RKLDxbJnUsigBj7m4hk8mg0+lw//33o6GhAfX19SgvL0dCQgIEQYBSqURaWhrkcvmAhbw6OzvhcrngdDphs9ngcDgAANnZ2SgtLYXBYIBMxg8nEdGptnx1EL817QQA/PH6CzFjerLEiSjWrFixAvX19QD6Fu5MS0sDADidTrS1tUGj0aCwsBAvvviilDGJKE7ZDxzGnS+2AgD+50oFNAvPljYQkUQaGhogiiLsdrvUUYiIosKpi3HeqpyF+sKFmDwxSdpgFDHGPR5RJpNBq9VCq9XC7XbDZDLBbDbD4XDAarXC6XTC5XINeIwgCBAEAXl5eaiuroZarWZRnIhoBL1eEXc1tOJErxfXZs3ATdmzpI5EMaayshIWiwUmkwl5eXmD7ne73WhoaEBNTQ3uvvtuPProoxKkJKJ4dbS7F5pnLHAf68E3MlJRc02W1JGIJCMIArq6ungOTUTkh64jJ3Djc1aYdhwA0LcY5+rFXIyTBgrqhH0ymQwajQYajSaYuyUiinu/enM7PtjtgmzyBDzKxcgoyFpaWmAymUZcePPkC+JLlixBa2srFi1aFL6QIaJSqZCUlISysjKUlZVJHYeIhvHjjR/jwz0enDFtEhpuy8HEpDHNFEk0brW1taitrUVvb69kGVwuV8DF8eLiYq7vRURxZ+f+Q7j268U4p07sW4zzBq7jRUPgN0siogj3VPNuVDe1AQBql12EWbIpEieiWFNfX4/Nmzf7vX1jYyOqqqpCmCh8mpubsXXrVhbHiSLYEx98hic/2I3EBOCFW5VsB0lSZWVl2Lp1K5qbmyXLUF1djeLi4oAeY7PZQpSGiCgyNe08MGgxThbHaThc8p2IKIK91XYApcYPAQD3583HzcrZEieiWCSKYkA90eRyObq6ukKYiIioT+sXbvx4w8cAgIeWnou8+WdInIhIenK5HPX19Vi5ciUyMzOhVqshCAJSUlKG3L69vR1OpzPMKYmIpFP37w785KVP0OsVcek5cmy8Q4WzUiZLHYsiGAvkREQRasf+Qyh42oLuXhFFC8/Gb5aeK3UkilGpqakBP0YQhBAkISL6L9fRbmieseBYjxdXn38mKhfPlzoSUUSYP/+//xb6F9cmIqK+xTh//soW1L7bAQC4RTkL67gYJ/mBBXIiogjUefgErn38A3Qd7cal58jx5I2LkJjIeccpNE5dTNsf7EFORKEkiiLufLEFjs4jmJs6BU/flM12kOhroijC4XBAqVQOubD2qex2Ozo6OkIfjIhIQq6j3bjxWSs27dgPAPjd985DJRfjJD+xQE5EFGFO9HihedqCnQcOY27qFLx05yWYwiveFEKiKGLXrl2YO3euX9u3traOqdc5EZG/Hn7Ljpe37MWkpEQYbs9F2tRJUkciihj9U6wsX77c78ekp6eHMBERkbR27j+E6574AJ9yMU4aIxbIiYgiiCiKKDV+iH86OjE9eQJe/dElmDE9WepYFOPKy8uhVqths9kwffr0Ebdtb29HXl4erFZrmNIRUbz5p/0AfvHGdgDAH35wAXLnyKUNRBRmTU1NEAQBGRkZQ94vCAJyc3MD2icvbBNRrGraeQCFz1jQdbQbs2WT8fKPLkH2LP/XVyICWCAnIooo1U1teNryORITgIbbcnDhzKEXWyIKJkEQUFVVhYyMDJSWlqKoqGjAYl8ejwcWiwV6vR5GoxF1dXXDnrQTEY3Hl55juOk5G3q9Im5VzkLp5f6NbCGKFfPmzUN7ezvkcjk6OzuH3KaxsTHg/ba1tY03GhFRxNG/14GfbPwEPVyMk8aJBXIioghh+HCPr8fcn66/CN8970yJE1E80Wg0cDqdWLFiBXQ63ZDbiKIInU6HkpKSMKcjonjQ0+vFTc9Z8dXB47hgxnSsLbiY84ZSXHnssceg1+uh0+mgVCqH3U6lUqG5uTmMyYiIIktPrxf3vLoVf3mnHQBwc/YsPFbExThp7BKlDkBERMAHn3Xhh39tAQD85JsK3H1FhrSBKC5ptVo4nU4sX74cMpkMoij6fgoKCmC327Fq1SqpYxJRjPrFG9vxL4cT05MnwPjDXExLZl8eii9dXV3IzMzEpk2bUF1dPeJ2gVq6dOl4ohERRQzX0W5c8/gHvuL47753Hp69OZvFcRoXFshDRKVSISsrC7W1tVJHIaIIt8t5BD94shnHery4+vwz8X/XXSB1JAqz2tpaZGVlQaVSSR0Fcrkcer0eTqcTXq8XXV1d8Hq9aGxshEKhkDoeEcWolz/5Cg+/ZQcAPFa0EOeeeZrEiYjCT6PRoKKiYtTtxjKywuFwjCUSEVFEaTtwGJf/6W1s2rEfUycmwfjDXNyfN58jzmjc2C0jRJqbm31ztxIRDcdzrBvXPvEB9h48jotnpuCFW3KQlMjGPd6UlZWhrKwMHo8HMllkLSgTaXmIKPZ8uu8Qfvhi3yiqn16pQOHCsyVORCQNhUKBjIwMzJ8/HytWrEBeXt6ANUH6OZ1OHDx4EKIo+rXf5uZmFsiJKOr9o+0ANE9zMU4KDRbIiYgk0jfXqg2ffHUQZ01Pxqt3XYLpk/lnmYLrsccew/Lly4O+3w0bNmDZsmVB3y8RxRf30W5c/+QH8BzrwRUZqai5OkvqSESS0ul0SE9Px6pVq0bsESmXy8MXiohIYlyMk0ItQfT3sjP5pb/3n9vtZg9yIhrRTzZ+jNp3OzBlYiLeWnkFVOfIpY5EEgtFG5Keno7Ozs6g7Otk8+fPx86dO4O+33DpP9YLFixAUlKSrxc/EYWP1yvihqea8erWvZglm4zm/7mSJ7sU8Wpra1FbW4ve3l7s2LEjZOd9brcbJpMJFosFLpfLd7soili3bh20Wq1f+3E6nbDb7WhtbUVvb2/Qc4YDz7GJ4ldPrxf3vroVf+ZinDRG/rYhIS+QNzU1wWQywWazobS0dEBvs9WrV2PFihXIyMgIZYSwYuNNRP6ofbcdP9n4CQDA+MNcLLtopsSJKBKEog1JTEyE2+3G9OnTg7K/fqEqvIcL22si6f3qze34vXknkick4u2yK5A7Ry51JCK/SdmOjOUidTS322yzieKT62g3bnrOir9/uh9A32KclYvncb5xCoi/bUjIxvJ3dHSgsLAQNpvNNzdafn7+gG0qKytRVVWFJUuWYPHixaGKQkQUUd5qO4CfvbwFAPC/3z+PxXEKuYyMDAiCELT9ORyOAb3ZiIgCtf6jPfi9ua/Ap9dczOI4UQDG0seNC20TUTRpO3AY1z3xAbbvO4SpE5PwzM3ZPG+mkApZgVytVgMA6urqkJubC0EQsG7dugHbyGQyVFdXY/Xq1RAEIaZ6khMRDaXDeQRFz1rR6xVxc/YsVFw1T+pIFAe6urpgtVqDuk/23CCisfr4Sw/ueLEVAPA/Vypwe+4caQMRRRmDwRDwYywWSwiSEBEF3z/aDqDwGQucR7gYJ4VPSArkq1evhlqtRl1dnV/bV1dXY+XKlVi7dm0o4hARRYTDx3tww1PNOHD4BJSzZFhXtJBFRgq5goICuN1ulJaWBqUXudPphNVqRWVlZRDSEVG8cR45geufbMbhE73Im386Hr6Gi3ISBSo7O1vqCEREIVH/n1348YaPfYtxbrhDhZlcn4TCICQFcpfL5XdxvB/XCiWiWCaKIn7U0IoP93hw5mmTsOGOXEzhwiIUBgaDAW63G42NjbBYLMjMzMTy5cvHtc+8vLxBo8KIiEbT0+vFjc9a0e48AkXaVLx4aw4mJCVKHYuIiIgk1tPrxX2vbcWf3u5bjPOmrxfj5DkzhUtICuRj6RHJXpREFMuqm9pg+OhLTExKgPGHuTgndarUkSiOyGQylJSUAADa29vx8MMPw+l0Ij8/f8xrgMhkHOZIRIGp+Ns2mHcewNSJSdh4hwrp0yZJHYmIiIgk5j7ajRtPWozzt989F/fnzWedkMIqZHOQB8rhcEgdgYgoJP62dS9++eZ2AMCfrr8Q31SkS5yI4plCocCqVasAAC0tLVi9ejUSEhJQXFyMRYsW+b0fzmVKRIF41rob/+9ffd/3n7pxES4+O0XiRERERCQ1+9eLcW77ejHOp29ahIKLz5Y6FsWhkBTIOzs7sWvXLsydO9ev7Tds2MBVtYkoJm3fdxC3vGCDKAKll89F6eUZUkci8snOzvbNY7p+/Xq8+OKLOP3006HVapGSwuIVEQWHZbcLWsNHAIDKvHnQLOSJLxERUbx7q+0ANF8vxjlLNhkv36mCcrZc6lgUp0JSINdqtdBoNDAajaMWyTdv3oySkhJYrdZQRCEikozraDeuf7IZnmM9uFKRhj/+4EKpIxENq6CgwLegZ0NDA+x2O+bNmzfu+cqJKL7tPXgcy55qxvEeL64+/0z8dul5UkciojEwm80wmUzIzMyEy+UCAJSXlwe0D5fLhfr6enR2dvp+dzqdqKyshFKpDHZkIopg6/6zC2VfL8Z5yRw5Nt7JxThJWiEpkKvVaphMJgiCgIqKCqjVauTm5qKzsxMejwdA39BsvV4Po9GIuro6ZGRkhCIKEZEker0ibn3ehh37D2OOfDIMt+di0gQuREaRLxTzlRNRfDrR40XhMxZ87j6Gc8+YhuduViIxkfOJEkUbo9GIhoYGGAwG321msxn5+fkwmUx+7cPlcqGqqgqVlZWQy+UD9p2TkwOTyQS1Wh3s6EQUYXp6vVj12lb88evFOG9cdDYeL17ExThJcgmiKIqh2nlFRQUefvjhYSfWF0URer3edyIeCzweD2QyGdxuN4enE8Wxyte3QdfUhskTEvHOj6/gUDHySyS3IS0tLWhsbAQA3HjjjVi4cKHEicYnko81UaxYuf4j6N/bhZTJE/D+T6/EuWeeJnUkoqCJl3bE5XJBoVCgvb19QGEbAHJyclBaWgqtVjvqfurr61FRUQGr1QpBEAbcl5qaCkEQhh1VHi/HmijWuY9246bnrHjz68U4f/Pdc/ELLsZJIeZvGxLS7ow6nQ5tbW1YtmwZFAoFRFH0/RQUFMBut8dUcZyICABebPkCuqY2AMDjxYtYHKeo5/F4sHnzZhiNRtTU1ECpVEKlUkkdi4giWP1/dkH/3i4kJADP36xkcZwoSjU2NkIQhEHFcQAoLi6GXq/3az/9RfH+6VmIKL7YDxzGN/78Dt78dD+mTEyE4fYc/FK9gMVxihghmWLlZIIgDBiK5Xa7IZPJQv20RESS+HCPG3c1tgIAVn0nEzdlz5I2ENE4bNiwAXq9HmazGUDfyC+lUonS0lIUFRVJnI6IItW77U78ZOPHAIDfLD0XV2fNkDgREY2VwWBAWlrakPcJggCbzQaXyzVkAf1karUaXV1dQ97ncrmQm5s73qhEFKG4GCdFg5AXyE/F4jgRxapDx3tQ/KwVR7u9+O65Z+B/v3++1JGIAtbU1ORbIwToK4rL5XJotVqUlpZCoVBInJCIItnnrqPQPGNBd68IzcUzcX/efKkjEdE4WCyWYS+K9/cKdzgcY15ks6amBkDf9KxEFHtOXoxTNUeOl7gYJ0WokBTIW1tbB/wul8t9i3B2dHSgtLQUZrMZcrkcarUa69at41xiRBT1frLxY+zYfxizZJPx7M1KJHEhMooSHR0d0Ov1qK+vh8vlQv/yJFqtFoWFhcjLy5M4IRFFg2PdvSh42oK9B4/jopnT8UTxIg6dJooAbrcbRUVF+Pvf/x7wY/3pHT7WArnL5YJer4fBYBg0L/lQPB7PgN+Tk5ORnJwc8PMSUehxMU6SyvHjx3H8+HHf76e2HcMJSYHcZDJh9erVEAQBGo0GxcXFAPoaZqVSCZfLBZ1OB7VaDbvdjry8PDQ3N4ciChFRWDxn/RxPWz5H4tdzraZPmyR1JKIReTwe1NfXQ6/Xw+Fw+IriarUapaWlKCgokDhheKhUKiQlJaGsrAxlZWVSxyGKWqIoYoXxIzTvdiFt6kS8dMclOC057INViUKutrYWtbW16O3tlTqK3xwOBxwOR9D32184dzqdfj/G5XKhvr4edrsdTqcTJpPJr+I4AMyZM2fA7w888AAefPBBv5+biMLj1MU4H1p6Ln6p5mKcFB5VVVV46KGHAn5cSL61qtVqrFq1CtXV1QNuLykpgdvthtlsxuLFiwEA2dnZEAQBlZWVqKqqCkUcIqKQ2rn/EO7e8BEA4Nf55+JbmekSJyIa3nDzihcXF0Or1cbdVGjNzc0cxUYUBH98ux3PWPsuFDfclgNF+lSpIxGFRP8FVY/HE5I2c+XKlQEVnP3R3+ZHArlcjvLycgB9uUpLS1FaWgqNRjPqY3fv3j2gzWbvcaLIYz9wGNc98QG27TuEKRMT8fSN2dAsPFvqWBRHKisrcc899/h+93g8gy6wDiUkBfLGxsZBxXEAMBqNyMnJ8RXH+ymVSjQ2NoYiChFRSB3v6cVNz9lw6Hgvvi2k4xdqzrVKkScU84oXFxejoaEh2FGJKAq9suUrrHptKwDg4WuzkDf/DIkTEUWvhoYGuN1u38iu8UpISIAoiiHpuelyuQBg2EU8R6NWq5Gbm4vU1FTo9XpotdoRt09JSeFFbaII9k/7ARQ8/d/FOF+6U4UcLsZJYTbW6bdCUiAfqoHcvHkzgL5GcCgcakFE0Wj137bB9oUb6VMn4tmbsznvOEWc+fPnD5hCJRjzirvdbl+xnYji28aPv0Txs1b0ekX8MHc2fnalf1MlENHQBEFAZmYm6uvrR+yhvm7dOlitVlRUVAxboG5ubkZ9fT1uvPHGiF1PRC6XQ6PRoLS0FEVFRaPOd05Ekemx93fh7vX/XYxz4x0qnC3jYpwUPcI2MaDJZEJCQgJUKtWQ9/dffSYiihavbd3rW3TkyRuzMVs+ReJERIPZ7Xbk5OSgtLQUhYWFvgvS/i5Wciqn0zlqDy8iig/rP9qDm56zoccr4qbsWVhXuJCdXojGKS0tDaWlpSMWxzs6OmC321FXVzfivtRqNdRqNVasWDFsR7XRCIIw7Pzl/VPB+DuH+HBUKhWMRiPMZrNfU60QUeTo9Yq479UtvvPi4kVn4wkuxklRKCQF8tTU1EG39c97NlzDHKwhZERE4fCF+yjufLEFAPA/VypwTdYMiRMRDU8URVgsFlitVt/vY+V0OmE2m1kEI4pzja17cMsLNvR6RdyqnIUnihdhQlKi1LGIop5Op0NmZuaI2+j1+iGnNB1OXV0d1qxZg/vuuy/gPEqlctjObP2Fc6VSOep+UlNToVarYTAYBt3X32s8FAuJElHouI924+bnbXhj+z4AwINLzsWv8rkYJ0WnkBTI29raBvzudrths9mQk5Mz5Jxhjz32GAoLC0MRhYgo6Hq9Im59vgWdR7qRPSsF1VefL3UkomElJCTAYrEEdZ9GoxHFxcVB3ScRRY+/tnyB2//a4ptW5bGiRZxijChIsrOzR91mLHN+j/XieH5+PnQ63ZD32e12v3qmu1yuEUeM2+12AOPviU5E4XPqYpxP3ZiNQi7GSVEsJN08SktLUVxcjIMHD6KjowNqtRoJCQlDNqyVlZWwWq0ROycaEdGpfm/eiX86OnFachJevDUHyRM4fIwi10hDtMdKo9Fw5BdRnHrO+jlu+7rn+B2qOSyOE0lgLD2t+6dDCVRRURGcTueQz2k0GlFaWjrgNpfL5Rs93q9/YfCheo8DfaPN++ciJ6LI90/7AVz2p7exbd8hnJ0yGf8qu4LFcYp6ISmQKxQKFBYWYu7cuRAEAVarFXV1dVi8eDEAYP369ViyZAmSkpKg0+mg1+tRWVkZiihEREH1tqMTvzF9CgB4dNnFmH/GaRInIhpZ/yLZwdY/XQsRxY9nLLvxwxdb4BWBuy49B48VLmRxnEgCYymQj3X6ErlcjnXr1qGiomLA7UajEYIgDCpqFxYWIj8/H/X19QNur6ioQGlp6aCe5PX19bDZbCH7vkJEwfX4+58hX/8fdB7pRu5sGT74nyuRM1sudSyicQvZIp0ajQYajQZut3tQ7zW1Wu3XPGVERJGk8/AJ3PK8DV4R+GHubNyaM1vqSESj8meodiTtl4gi05MffIblhg8hioD2srl4dNlFSGRxnEgS2dnZePzxx3HXXXf5tX1TU9O4Rn5pNBrI5XJUVFQgMzPTV+Q2mUyDts3Pz4fFYkFubu6A2wVBgF6v9xXaXS4XnE4n0tLS0NXV5ZuHnIgiU69XxKrXtuIP/+q72Fa08Gw8UbwQUyeFrKxIFFYJYoSMkfZ4PEPOTx5tPB4PZDIZ3G53TLweIuojiiJueKoZr2zZiwVnTIPlZ9/Cacn8MkDBxTYkfHisifz3+PufQWvsK46v/EYG/nLDhVyAi+Ke1O3IvHnzUFlZOWqRvKmpCaWlpTCZTMjIyAhPuCCT+lgTxTvPsW7c/JwNr3+9GOcDSxbg1/kL+F2AooK/bUjEVHdycnKwc+dOqWMQEQ3pz++045UtezEpKRF/vTWHxXEiIooL9f/ZhRXGjwAAP/6mAn/8wQU8ISaKAHV1dViyZAl0Oh0KCgqgUql8vbBdLhccDgcaGhpgs9lgMBiitjhORNJydPYtxrl1LxfjpNgWkgqPx+MJaHu73T7mRUOIiEJtw8df4p5XtgAAHr42C9mzgr/oIRERUaR59N0O/HjjxwCA/7lSgf+7jsVxokihVqthsVhQWFgInU436N+mKIqQy+XYtGkT8vLyJEpJRNHsX/ZOFDzdjM4j3Tg7ZTJeulOF3DlyqWMRhcSYC+RFRUVYv3496uvrBw3rksvl/PJMRDHh75/uw03PWeEVgTtUc/DjKzKkjkRERBRyf3mnHT996RMAwD3fFvDwNVn8fk8UYZRKJex2O2pqamA2m30LcQqCgPz8fKxatUrihEQUrR5//zPcveEjdPeKyJ0tw8Y7VZglmyJ1LKKQGXOB3Gq1QhRFWCyWQQVyQRDgdDqhVquRlpY24n6cTifsdjtaW1vHGoWIKCT+Ze/Esqea0d0rovDimVhXuJDFASIiinl/fNuBn7/cN3Jq1XcyUX31+Wz/iCJYeXk5ysvLpY5BRDGg1yui/LWt+H9cjJPizJg/4WazGUajEVqtdtB9giCgpqYGy5Yt83t/6enpY41CRBR0lt0uXPvEBzja7cXV55+JZ29WIimRxQEiIopt//dPO+57dSsAoDJvHn733fNYHCciIooDXIyT4tmYC+QKhWLYIVv5+fkQBCHg/RERRYJPvvTgu+v+g4PHe/CdzHQ03p6LSRMSpY5FREQUUjX/aMPqv20DAPxSPR8PLT2XJ8VEMWL+/PnYuXOn1DGIKEI5Og/jB080Y8veg5g8oW8xzqJFXIyT4kdIxkiMZa4zi8USgiRERIFpO3AYS+r/A+eRblx6jhwv33kJpkxMkjoWERFRSFVt3olfvLEdQF+PsQeWnCtxIiIKps7OTqkjEFGEetvRiYKnLThw+ARmpiTjpTsugeocudSxiMIqbJMIeTweOBwOOJ1OCIKAjIyMcD01EZFfdruOQl33Hr46eBwXz0zB35ZfiumTOdcaRb+mpia2vUQ0rN+Zd+DXb34KAHho6bn4Vf4CiRMR0Wg8Hg/q6+thMpngdDpH3NbhcMDtdocpGRFFkyc++Awr1/ctxpkzW4aXuBgnxamQV35aW1tRUlICm8024PbMzEzodDrccMMNoY5ARDSqvQePI1//Hj5zHcX806fh79rLkDZ1ktSxiMZt3rx5aG9vh1wuZ+8xIhrkoU2f4qFNOwAAv/veebg/b77EiYhoNG63GwqFAi6Xy+/HcLokIjpZr1dExd+24v/+2bcYZ+HFM/HkjYu4GCfFrZBOqrtixQoolUpYrVbIZDIoFAooFArIZDK0tbVBo9HgxhtvDGUEIqJROY+cwNL6/2DH/sM4Rz4FptLLMGN6stSxiMbtscceg16vR15eHkpKSobdTqVShTEVEUUCURTx6ze3+4rj1Vefz+I4UZQoKSlBbm4urFYrvF7vqD9OpxNyuVzq2EQUITzHunH9kx/4iuO/zl+Av96aw+I4xbWQFcgrKythsVhgMpl8jXJbWxva2trgdDrR1dWFtWvXwmKx4O677w5VDCKiER081oPvr3sfH33pwVnTk2FecTnOSZ0qdSyioOjq6kJmZiY2bdqE6urqEbcL1NKlS8cTLWKoVCpkZWWhtrZW6ihEYSOKIn755nb8zty3YN/D12Sh/Kp5Eqciig61tbXIysqS9OKyw+HApk2bkJ2d7df2crkcqampIU5FRNGgvfMIrvjzu/jbtn2YPCERf71ViQeXnovERI4yofgWkgJ5S0sLTCYTLBYL8vLyhtxGJpNBq9X6iuatra2hiEJENKyj3b34wZMf4IPdLqRNnYhN2ssw7/RpUsciChqNRoOKiopRtxvLsGuHwzGWSBGnubkZW7duRVlZmdRRiMJCFEVUvr4dVZvbAACPXJeFe7+TKXEqouhRVlaGrVu3orm5WbIMubm5AT/GYDCEIAkRRZO3HZ249E9vY8veg5iZkox/3n0FihfNkjoWUUQIyfiJ+vp6bN682e/tGxsbUVpaioaGhlDEISIa5ESPF4VPW/CWvRPTkyfgjeWX4cKZKVLHIgoqhUKBjIwMzJ8/HytWrEBeXh4EQUBKysDPutPpxMGDByGKol/7bW5ujpkCOVE8EUUR5a9twyP/tAMA/nj9hfjJNxUSpyKiQI2lN7i/vc2JKDY9+cFnWPH1YpzKWTK8/CMuxkl0spAUyEVRhEwm83t7uVw+puHdRERjIYoiyjZ+jNe378OUiYl49UeXQHWOXOpYRCGh0+mQnp6OVatWjdhTnHOTEsU2URRx76tb8Yd/9V3c+ssNF+HuKzKkDUVEY5KWloaOjg5kZGT4/ZimpiYsXrw4dKGIKCL1ekWs/tt/L45rLp6Jp7gYJ9EgIfkXMZYr2oIghCAJEdFgj/67A4+//xkSEoDG23Lxrcx0qSMRhVR5eTlKS0t905+5XC7ffaIoYt26ddBqtX7ty+l0wm63c2o0oigiiiJ+9vIW/PmddgDA2oKLUHp5hrShiGjMVq1ahRUrVqCmpmbQqLDhlJaWYufOnSFORkSRxHOsG7c+34LXtu0FAPwqfwEeyF/A+caJhhCSAvnJJ97+Yg9yIgqHt9oO4OcvbwEAVH//fFydNUPiREThIZPJoNFooNFoBt3X1NSEurq6gPaXns4LS0TRQBRF/GTjJ3j03x0AAL3mYpRcNlfaUEQ0bnV1daisrAQA5OfnQxAEpKWlDbmt3W6H0+kMZzwikliH8wiue+IDfPLVQUyekIgnihfhxmzON040nJBNsbJr1y7Mnevfl+/W1lauqk1EIbfLeQRFz1rR4xVxU/Ys3MdFyYgAwO+5x0+mUHDeYqJI5/X2TSmmf28XEhKAdYUL8aNLzpE6FhGNU2Ji4oBp02pqaiRMQ0SR5p32Tix7yoIDh09gZkoyNt6hwiXnsOZGNJKQFMjLy8uhVqths9kwffr0Ebdtb29HXl4erFZrKKIQEQEADh/vwQ1PNePA4RNQzpJhXeHFI87HTBRPDAZDwI+xWCwhSEJEweL1ilix/iM89vWUYk8ULcIPVXOkjkVEQSAIAhwOB9RqtV9riHBqNKL48VTzbpQaP/QtxvnSnSrMlnMxTqLRhKRALggCqqqqkJGRgdLSUhQVFUEQBN/8aB6PBxaLBXq9HkajEXV1dQEtMEJEFAhRFHFX44do3ePBmadNwoY7crkoCdFJsrOzB93m8XjgcDjgdDohCALbaaIo4vWKKDF+iCc/2I3EBOCpG7Nxa85sqWMRUZDI5XIYjUYsW7bM78dwajSi2NbrFVH5+jaseeu/i3E+WbwI05J53kvkj5D9S9FoNHA6nVixYgV0Ot2Q24iiCJ1Oh5KSklDFICJCdVMbGj/cgwmJCTDcnotzUqdKHYkoYrW2tqKkpAQ2m23A7ZmZmdDpdLjhhhskSkZE/uj1ilje2IqnLZ8jMQF45qZs3KxkcZwoluTm5kIQhIAew6nRiGLXwWM9uOV5m28xzl+q5+PBJedyMU6iACSGcudarRZOpxPLly+HTCaDKIq+n4KCAtjtdqxatSqUEYgozv1t61788s3tAIA/33AhrhTYe4ZoOCtWrIBSqYTVaoVMJoNCoYBCoYBMJkNbWxs0Gg1uvPFGqWMS0TB6vSJ+1NBXHE9KTMDztyhZHCeKQXV1dVi0aFFAj+HUaESxqcN5BFf85R28tm0vJk9IxAu3KPGb757H4jhRgEJaIAf6hn/p9Xo4nU54vV50dXXB6/WisbGRV7GJKKS27zuIW16wQRSB0svnovTyDKkjEUWsyspKWCwWmEwmeL1eOJ1OtLW1oa2tDU6nE11dXVi7di0sFgvuvvtuqeMS0Sl6er344V9b8Ky1rzj+wi1KFC+aJXUsIgqxpqYmVFZWYunSpdiwYcOA+1avXo2Ojg5pghFRyL3T3olL/vg2PvnqIGamJOOtu7+BG7PZ9hONRcgL5KeSyWThfkoiikOuo924/slmeI714JuKNPzxBxdKHYkoYrW0tMBkMsFisSAvL2/IbWQyGbRara9ozsW+iCJHT68Xt/21BS+0fIEJiQlouC0HhQvPljoWEYVQR0cHVCoV8vPzodPpYDKZ4HA4BmxTWVmJuro6NDU1SZSSiELlqebdyKt7DwcOn4Bylgzv//RKXHJOqtSxiKJWwAVyNq5EFOl6vSJufd6GHfsPY458Mgy352LShLBfDySKGvX19di8ebPf2zc2NqKqqiqEiYjIX0dO9OCm52xoaN2DiUl9a20su2im1LGIKMTUajW6urpQV1cHq9WKrq6uQdvIZDJUV1dj06ZN7ElOFCN6vSLKX9uKHzW0ortXhObimfjn3d/AbPkUqaMRRbWAF+nMz89Hb29vKLIQEQXFL9/cjte378PkCYnYeIcKM6YnSx2JKKKJohjQCC+5XD7kiTgRhde2vQdR9IwVW/YexKSkRBhuz8G1F5wldSwiCrHVq1dDrVajrq7Or+2rq6uxcuVKrF27NsTJiCiUuBgnUegE3KVSJpNh48aNochCRDRuGz7+ErqmNgDA48WLoJwtlzYQURRITQ18OKYgCCFIQkT+es76OS7549vYsvcgzpqejDdLLmVxnChOuFwuv4vj/URRDFEaIgqHkxfjTJ6QiOe5GCdRUAXcgxwANBoN1Go15HI50tLSAnpsf8OckDD4HzGvaBPReOxyHsHyxg8BAPd8W8BNXKCEyC8ulyvgx7AHOZE0jnb34qcvfYLH3/8MAJA3/3Q8d7OSo6WI4shQ59KheAwRRYZ32jtR8JQF+w+fwFnTk/HSnSrON04UZGMqkBcUFECn00GhUIzpSdvb21FYWIiWlhaIoghBEFBfXz+mfRERAUB3rxc3P2+D62g3Lj1Hjqrvny91JKKoIYoidu3ahblz5/q1fWtr65h6nRPR+Hy67xCKnrXg4y8PIiEB+HX+AvxSvQBJ7D1GRKM4dQFPIooOTzfvRqnxI5zo9SJ7VgpevvMSzjdOFAIBF8hdLhcee+wxpKSkjOkJKysrUVNT4+tJrtPpsGrVqjHti4io34P/v727j2+yvvc//i4FAYH2oiACisJVUAQVSFvdztmms6nTzbmpLXWbN7uRVg/n/M7mtLGe3850c9ZWfztnO2Pa4G48c5M2Ueec7iaBnTPnvGkbQAVUSAqiKHdpWm4Lba/fHyWB0hvSmzRp8no+Hjy0yZUrnyZtPlc/35vPn9/RK9ualDlutH7zlRyNSacpJxCtsrIy2e12+Xw+TZo0qc9jGxsblZ+fr4aGhmGKDoAkPbX2A5W612t/a7umTTxNv/6KTfnzzoh3WADiYO/evf0a2H7mmWcGPLkNQHy0d1gqf3GTHvkfvyTphotm6Jc3LtaEsQOa5wrgFPr9m1VYWDig4viaNWtUWlqqQCAgy7JUWFiolStX9qspGAD0xPvubj10bN9xZ9EizZlyepwjAkYW0zRVUVGh2bNnq7S0VEuXLpVpmpF839LSovr6elVXV8vtduuxxx7T7Nmz4xs0kCIOH23XN5/bIOer2yRJl2dP0a+/YtOMjHFxjgxAvJSUlKiwsFBut/uURfLVq1dr2bJlDGwDI8i+w2266Tc+Pb+xsxnnv9nn6X6acQIx1e8CeW1tbb+O37p1q0pLS+X1eiPbqVRXVys/P7+/Tw0A3ezc16pbnlory5KWfewcFS2aGe+QgBGpsLBQwWBQt99+uyorK3s8xrIsVVZWatmyZcMcHZCaNu/er6W/atD6HS1KS5P+LX+evnvl+WypAqQ4u90uj8cj0zTlcDhkt9uVm5urvXv3qqWlRZIY2AZGqK3Bg/rCL17Xmx/u09jRo/SzpYv0ZdvZ8Q4LSHppVgzbWT/yyCNyOByR7VSqqqp01113xerpEkJLS4syMzPV3Nw84G1oAESno8PS5372mv70zm4tPHOSXvvXT+j001hyhpErEXJIKBSSw+GQy+Xq0ryzsLBwUP1HEk0ivNZAX2rX7dAy13rta23TGRNO06++vERXnj8t3mEBOCYR8ojD4dDDDz/cawNOy7JUXV094ge2E+G1BobDy41BXf/Lukgzzme/mqdLz6XvDzAY0eaQmGzSu2bNGs2bNy9SHLfb7fL7/UlfHAcwvH7414D+9M5ujR8zSqtuzqE4DgwBwzBUXV2tYDCojo4ONTU1qaOjQ7W1tUlTHAcS2eGj7Vr+zJu68ckG7Wtt06fMLK298zKK4wC6qays1JYtW3T99ddrzpw5siwr8u+GG26Q3+8f8cVxIFU8Ubdd+Y+9ot0HjmjxzAy99q+fpDgODKMhrSa1tLRo2bJlcrvdbKcCIKZef69J9764SZL0n1+4UAun991YEMDA0CsEGD7+PQdU/KsG+T5oliSV58/V/Veer9E0ngbQC9M05XK5Il83NzeTu4ERpL3D0r0vbtLDx5pxXn/RdD1x4xKacQLDbMiuth955BFNnjw5Uhx3OBzasmULxXEAQ6750FF96Umf2josFV08Q7ddek68QwIAYFCefmOHcv7zr/J90Kwpp4/Ri7ddqh9cfQHFcQD90ltxfM2aNcMcCYBT2Xe4TTc8URcpjt+bP0+1N+dSHAfiYNC/dWvWrFFpaakCgUBkO5Xq6mqWYQOICcuyVOp+Q43Bg5o9ebyqixb1uu8iAACJrrWtXXf/fpN+8rdGSdI/zp6sp27K0dnG+DhHBiCZlJaWavPmzfEOA8Ax24IHdS3NOIGEMeAC+cnbqRiGIZfLxYxxADH1s9ffU+36HRo9Kk2/uSlHxvgx8Q4JAIABadx7UMW/qlf9+51bqpR9eq6+f9X5GsOscSBltbS0DPk5/X6/gsHgkJ8XwMD8fWtnM85d+4/ozElj9VuacQJxN6AC+SOPPCKHwyFJke1UKioqBhXIHXfcoUcffXRQ5wCQ3DZ+tE//+tu3JEkPXD1fH+MiAgAwQj375of6es06NR9uU9bpY/TEjUv0uQVnxjssAHFmGAarI4Ek9t/121XiekNH2ju0eGaGnvv6JZrFqjEg7vpdIM/Ly5PP5xvS7VSam5vldDopkAPo1aGj7brxyQYdOtqhK887Q3ddlh3vkAAkgby8PKWnp2v58uVavnx5vMNBCjjS1iHHCxv1o5c6t1T5+LmT9dRNNp0z+fQ4RwYgGitWrNCKFSvU3t4ek/ObpqlAIKDCwkJJUlZW1qDOFwwG5ff7tW7duiGIDsBAdXRYuvcPb6vqL1skSdddOF3//SWacQKJot+/iQ0NDZo8ebJWrlyp66+/ftABhLdqAYDetLV36Hb3G3rro306c9JYPfGlJRo1ipk1AAavrq5OGRkZ8Q4DKWJr8KBu/FWDXt8ekiR9+7JsPfjZ+WypAowg4QHVlpaWXhtiDoZhGHI6nbrtttuG9LxTpkwZ0vMBiN7+1jbd/BufntuwU1JnM87vfeZ8/qYFEsiAhqry8/O1atUq1dTUDDqApqYmeb1elpEB6NGB1jZ96Umffr9pp9LSpCduXKwzJ42Nd1gAAPTL7zZ8pK+uWqfQoaOaPH6MfnnjYn1+4fR4hwUgweTm5io3N3fIzzvYVd8ABmZb8KC+8Is6vfFhi8aOHqXHly7SV2jGCSScfhfI09LSVFtbO6RBuN1uFRcXD+k5AYx8O/e16vM/e0317zdr3OhR+vVXbLry/GnxDgsAgKgdbe9Q+Yub9MP/DUiSLpllqObmHJ2bxZYqALp77LHHYnLe+vr6mJwXQO9e2RrUdSc043z2q3n00QISVL8L5LFYRlZYWCjLsob8vABGrnd27ddnH39NjcGDmnL6GP3u65fo47MHtwcjAADD6b2mg7rxSZ9e3dYkSfrmp0w99NkLdNpotlQBACCZ/aphu5bVdjbjXDQzQ899LY9+I0AC63eB3OVyxSIOeTyemJwXwMjzcmNQX/jF6woePKrsKafrxdsu1bwzJsY7LAAAovbCxp26ddVaBQ8eVea40frFjYv1xQtnxDssAAAQQyc34/zisWacE2nGCSS0fk9fyc/Pj0UcMTsvgJHFvX6H7NWvKHjwqC6ZZejlf/4ExXEAwIhxtL1Djt9v1Od/3jnQm3t2pnzfuoziOIABW7dunbZu3drnMY8//rjmzZun9PR0paenKy8vTz/72c+GJ0AAkjqbcd7wRF2kOF6eP1fuW3IpjgMjAOs7ASSM//irX8VPNqi1rUNfWHim1tzxcU2jIScQc08//bTS09N17733xjsUYER7P3RIVzz6dz38P35J0r98Yo5e+ud/1JwpLKkG0H/FxcVKT09XTk6OsrOzNXXqVP3lL3/p8bjS0lL5/X5ZliXLstTQ0KCSkhJdddVVcYgcSD3bggf1iZ+8rOc27NTY0aP0319aoh9cfYFGjUqLd2gAosAwFoC4a++w9O3nN+jHLzVKkv7pH2brR1+8UOlcTADDoqamRpZlye/3xzsUYMT6w6aduuWptdp78Kgyxo3Wz5Yu0g0Xz4x3WABGoMbGRl155ZUKBAJdenUFg0HZ7XY5nU594xvfkCQ98sgjcrlcMgxDJSUlys7OliQ1NDTI6XTK4/Hon/7pn/TTn/40Lt8LkApObMY5beJpevarefTPAkYYCuQA4urQ0Xbd/BufnnnzI0lS1TUL9O3LTKWlURwHhotpmmpqaopJI24g2bW1d+jf//SOHlrTuZzadlamam7OUfbUCXGODMBIFZ4NbrPZVF5eLtM0FQwG5fP59OCDD6qkpES5ubmaPXu2ysrK5HA4VFFR0eUcy5YtU1lZmYqKilRdXa3S0lItWrQoTt8RkLxoxgkkBwrkAOJmz4FWfeHndXplW5NOSx+lJ760WMWLz4p3WEDKCYVC/S6OFxcXq6amJkYRASPDB82H9OUnfXqpMSipcwXU/7t2gcaOTo9zZABGqtWrV8vr9crpdOq2227rcl9+fr6WLVum/Px8PfjggyooKFBJSUm34niYaZpavXq1TNNURUWFVq1aNRzfApASOjos/dsf31blGppxAsmA31wAcbF5935d87PXtXnPARnjx+i3X83Tp7KnxDssICU99NBD/S54+3y+GEYEJL4/v7NLN/9mrXYfOKJJY0drZdEiLV3MlioABsflcqmkpKRbcTzMMIxI0TsrK0uPPfZYn+czDENOp1Pl5eWxCBdISftb23Tzb3x6bsNOSdI9V8zVA1fNZ79xYASjQA5g2P35nV268UmfQoeO6tzJ4/XibZfqgjMnxTssIGWF/3i+4447lJ2dLbvdLtM0lZGR0ePxjY2NCgaDwxwlkBjaOyzd9+d39ODqzbIsafHMDNXcnKN5Z0yMd2gAkkBDQ4NcLlefxxiGofLyctXX10d1zoKCAhUXFw9FeEDKe6/poL7wizqt39Gi09JHaeXSi3Vzzqx4hwVgkCiQAxg2lmXpRy816q7nN6jDkj527mQ9c2uupmeMi3doQEqbN29e5P+dTmccIwES2/bQId361Fr9j3+vJKn04+fqP65dqHFj2FIFwNAIBAKaPXv2KY+z2+1RD1ZnZmbSZwQYAjTjBJIXBXIAw6K1rV13PP2mflm3XZL01dxZerTwIvZpBRKAZVkKBAKy2WzKz88/5fF+v19bt26NfWBAgjjS1qH/fCmg73ve1YEj7Zo4Nl3VhYv0pSX0zQAwtCZPnhzVcUuWLFFtbW3U583KoogHDMaTDe/rttr1OtLeoYtndDbjPDeLZpxAsqBADiDmPmo5rBueqNcr25o0Kk165PML9a+fnKO0NPZoAxJBeIuV3vY77cmUKfQMQGr4y5Y9+udn3tSmXfslSZ+Yk6WVRYt0/jS2VAEw9GJ1fcx1NzAwHR2W/u8f39ZDx5pxfmHhmfrVl2004wSSDL/RAGKq4f2QrvtFnd5vPixj/BitusmmK8+fFu+wAJzANE3l5ub26zHRznADRqoPWw7rruc36qm1H0iSpk08TVXXLNDNOWdTaAIAIAXsb23TLU+t1W/f+kiS5Lhirn5AM04gKVEgBxAzq9Z+oK/XrNPhtg6df8YEPff1S3QeTcyAhNOfJdphW7ZsiUEkQPy1tXfoJy9v1Xf/9I72tbZpVJp0+8dn64Gr58sYPybe4QFAhGVZ8Q4BSFo04wRSCwVyAEOuo8PSd/70tipWdxbQPjt/mn79FZsyKSwACW/NmjXyeDzy+XwqLS3V9ddfH7nvnnvu0e233x5V8zBgJHq5Majlz7ypNz5skSRdMsvQT2+4SLazjfgGBiBlRNt4U+rftin9OW9PvF6vPB6PsrOzFQqFJEllZWX9Po/T6ZTf75fP51MwGJTdbldlZeWgYgOG2itbg7r+iXrt3NeqaRNP0zNfzdM/0IwTSGoUyAEMqYNH2vTlX/v0uw07JUl3X56tBz97gdJZhgYktK1bt6qoqEg+ny8yI62goKDLMeXl5aqoqNCVV16pK664Ih5hAjGxa1+rHC9s1BP170uSsk4fo4rPXqBvXHIOy6gBDKumpibde++9UTXV9Hq9UfUE2bt3b6SoPRBut1s1NTVyuVxdnrugoEAejyfq8zgcDpWWlqqkpESSFAqFVFRUpMmTJ6uxsVGGYQw4RmCo/NrX2YyztY1mnEAqSbNYlzWkWlpalJmZqebmZmVkZMQ7HGBYtbV36IYn6vX8xp0aO3qUVhYt0k05Z8c7LGDEiGcOmTt3rqTOP15zc3NlmqZWrlypu+66q9uxyTCTnHwNSWrvsFT9yjb93z++rdCho5Kk2y49RxWfvUBTJpwW5+gAJLJY5ZFRo0ZFPTPcsqx+zSJvb2/vdzyhUEhz5szpsYCdk5PTpeDdF7fbLdM0ZbPZup1/8uTJstvtvRbbydkYDievgr524Zl6kmacwIgXbQ7hNx3AkLAsS7c//aae37hT40aP0h+XfUyfyj71jBYA8XfPPffIbrfrsccei+r4hx56SHfccYceffTRGEcGxM7r7zVp+TNvquH9ZknSkrMy9NPrL9al59KAFkB8LVmyRKZpRjWL/FSCwaD8fr/WrVs3oMfX1tbKNM0eZ3cXFxeruro6qgJ5XV2dCgsLu91uGIZKSkrkdDoVCoWYRY642N/aplufWqtnjzXjLPv0XD14Nc04gVRCgRzAkPj3P72jn7/+nkalSU/dlENxHBhBQqFQ1MXxMBagYaTae+CI7v3DJj3+2nuyLClz3Gg9cPV83f7x2WwHBiDu0tLSVF9fP+TnTU9PH9DjXC5Xr4V60zTl8/miKmw7nU75fL4eZ4nn5ORIkurr62W32wcUJzBQ20OH9IWfv651x5pxOosu1i25NOMEUg0FcgCD9tOXt+oH3s2SpEdvuFhfuHB6nCMC0B/9WZ49mMcA8dTRYennde+p/IVN2nuwczuVW3PPVuXnFmjapLFxjg4AOmVmZsbkvHPmzBnQ4+rr67V06dIe7zNNU5IUCAS6bZ1ystzc3F7vC++PPhQz5oH+eHVbk677ZZ127mvVGRNO07NfoxknkKookAMYFPf6HfqX374pSbrvyvO17GPnxjkiAMMhEAjEOwQgams/aNbyZ97Uq9uaJEkXzZikn1x3kT5pstoJQGJZvXp1TM57YoPN/ohmdng0BfK+mnn6/X5JOuU5Wlpaunw9duxYjR3LACf67/DRdv3opUbd9+d31NrWoYtmTNLvvnYJzTiBJNDa2qrW1tbI1yfnjt6MilVAAJLf/2zZo5t+s1aWJZV87Fx9p2BevEMCMAB79+7Vtm3boj7+mWeeGfBMNGA4hQ4d1b88+6by/vOvenVbkyaOTdf/u3aB6r/5KYrjABLSkiVLRsx5w4XzYDA4qPM4nc6o9jGfNWuWMjMzI/8qKioG9bxIPR0dln7je1/zK/+i8hc3qbWtQ9cuPFN/W/4JiuNAkqioqOiSK2bNim7LJGaQ98HpdEb+3+/3q7y8nKYhwDHrdzTri7+s05H2Dl134XStuP4itlwARqiSkhIVFhbK7Xbr3HP7XgWyevVqLVu2TA0NDcMUHdB/lmXpVw3vq+z3G7Vr/xFJ0peWnKWHr1mgmZnj4hwdACDM4XDINE1VVlae8tjt27crIyMj8jWzx9Eff/Xv1d2/36i67SFJ0tmZ4/TA1fN1k+1smnECSaS8vFx33nln5OuWlpaoiuQUyHvhdrvl8XgiS9FCoZDy8/MpCACStgYP6uqVr6nlcJs+OSdLv/6KjcZmwAhmt9vl8XhkmqYcDofsdrtyc3O1d+/eyJK0+vp6VVdXy+1267HHHtPs2bPjGzTQizc/bNE/P/OmXmrsnNE4f9pE/eS6i3TFvKlxjgwAkstg9w73+XxyOp1qaGiIaiJaRkZGlwI5EI13d+/XPS9s0m/f+kiSNHFsuu65Yp6++ck5Ov00SmJAshno9lt8GvSioqJCK1eujHxtGIaysrLk9XrprI2Utnt/q65a+ao+2teqC6dP0nNfv0TjxqTHOywAgxSeufXQQw91mcVVVVUV+X/LslRdXa1ly5YNe3zAqew73Kb7/vyOfvy3RrV3WDp9TLq+U3CevvUpU6eNZldBAEg0RUVFWr16daTZJzCU9hxo1f1/flfVr2xTW4el9FFpuu3Sc3TflefrTJpzAzgJfy30IBQKyefzdUvUpmkOuLkJkAwOtLbp8z97Xe/uPqBzjPH6w7JLZYwfE++wAAyRyspKbdmyRddff73mzJkjy7Ii/2644Qb5/X6K40g4lmVp1doPdEHVX/Qffw2ovcPSDRfN0Mayy+W4Yi7FcQAYBNM0e23MHd57fCAF7oKCAlVXV5+yMSfQX4ePtqvqL1s0t2KNVry8VW0dlq654Eytv/MyPXrDxRTHAfQoqWaQh0IhORwOGYbR5x5mXq9XHo9H2dnZkWVhZWVlkfvDFwAnL/MyDEM+n2/I4wZGgqPtHVr6qwa9vj2krNPH6I8ll+qszPHxDgvAEDt5MLi5uVmZmZlxjAjo3du79ulfnn1LqzfvkSTNnTpBP/7ihbpq/rQ4RwYAycFms0X+Zj5Z+O/m/ha5S0tLI1u6AUOlo8NSzfoduvfFTdrWdEiStHhmhh7+/ALlzzsjztEBSHRJUSB3OBwKBALKy8s75RYobrdbNTU1Xf7493q9KigokMfjkdR3F+7BdugGRqKODkvLatfrD2/v0vgxo/T7b1yq+dMmxTssAMOA4jgS0YHWNj2werN++L9+HW23NG70KJXnz9Pdl2ez7RcADKGCgoJeJ5/5/f5+F7mrqqpUVFTU7XGBQECBQICiOQbkpcBe3fX88QacZ2WO0w9owAmgH5KiQH5iwq6pqen1uFAopGXLlqmxsbHL7Xa7XQ6HQ06nUyUlJV2Oj6ZZCJDMWtva9bVV67Rq3Q6lj0pT7c25+ti5k+MdFoAYevzxx+XxeCIzw0zT1I033qjrrrsuzpEh1VmWpd++9ZG+9dwGvRfqnB12zQVn6j+/uFDmlAlxjg4Aks/SpUsjE9JO3krF7XZ3K56HQiHV19f3WOh2u92y2Ww93ufz+dhuBf327u79Kn9hk549oQGn49Nz9a1PmTTgBNAvKfWJUVtbK9M0eyx6FxcXq7q6WiUlJb124Q6FQgPu0A2MRHsPHNH1v6zTS41BjR6Vpl/cuFifW3BmvMMCECNr1qxRaWmpAoGALMuK3N7Q0CC3262cnBy5XC6de+65cYwSqWrLngP619++pT+8vUuSdO7k8frRFy/UtQunxzkyAEhehmFo5cqVcjgcXVZhu91umaapwsLCLscXFRXJ6/VG/rYO8/l8qq6uVlFRkZxOZ+T28PYtNTU1amhoiO03g6Sx50CrvufZrMf+3rnH+Kg06bZLz9X9n6EBJ4CBSakCucvl6rXAbZqmfD6fQqFQZGQ8GAx2KaYHg0FGtZEy/HsO6HM/e03v7j6gjHGj9fStuezdBiSxZ555RoWFhTJNU3fffbeys7MjOTMYDKq+vl4ulyuSLxctWhTniJEqDh1t10NrtqjqL1vU2tah09JH6e5PZ6v8irnMDgOAYVBYWCjDMORwOLr08QpvUXqigoIC1dfXKzc3t8vt+fn5CoVC8nq9PT7HQBp9IvUcPtqu//pbox5cvVnNh9skSZ+7YJoqP7dAC6azBSiAgUupvyrq6+u1dOnSHu8LJ+RAICCbzSabzdZtGVkgEFBpaemwxArE06vbmnTtz1/XngNHdI4xXr//xiW6cEZGvMMCECPNzc267bbb5HK5dMMNN/R4zLJly1RdXa2qqioVFhZq8+bNwxwlUtELG3fq//z2LTUGD0qSrjzvDP34ugt13hkT4xwZAKQWu90e1f7gZWVlKisr63Z7U1NTLMJCirAsS6vW0YATQOykVIE8mj3FwwXy8vJyuVyuyEVAeJQ82qYhLS0tXb4eO3asxo5lqQ8S3zNvfqibfu3T4bYO2c7K1PPfuEQzMsbFOywgKbW2tqq1tTXy9cm5Y7jcc889WrlyZa/F8ROVlZXJMAw98sgjuuuuu4YhOqSircGD+tZzb+m5DTslSWdnjtMPr12oGy6eobQ0mm0BAJAqXgrs1d3Pb9TrJzTgfOCq+bo5hwacAIZOShXI+xIunAeDQUmdy8iCwaCcTqeysrJUV1en1atXR32+WbNmdfn6u9/9ru67776hChcYcpZl6T9fCuiu5zfKsjqXqj11U44mjuVjAoiViooK3X///fEOQ3v37o2qOB5WUlKi22+/PYYRIVV91HJYK197Tw+t2axDRzs0elSavvUpU98pOI98BABACtm8e7/uoQEngGHCp0ofTmwqcnLzkVPZvn27MjKOb0nB7HEksvYOS9987i2teHmrJOmOf5itH31hoUanj4pvYECSKy8v15133hn5uqWlpdsA63AYyL6fp1qRNdyqqqoiMYVCoR6XdyMx7drXqmfe/FCu9Tv0v4G96jjWH/by7Cn6yXUXsacoAAApZM+BVn3fs1mPntSA874rz9N0VjYDiBEK5MeEt1DprYlnf2VkZHQpkAOJqvnQUd3y1Fo9v7FzGfvD1yzQnZeZLGEHhkGibL81kN/3qVOnxiCSgSkoKFBlZWWkkXZ2drZM0+z34DaGz54DrXr2zY9Uu36H/rJlT6QoLkmXnmPo/3zS1I2LZ5KLAABIEYePtusnL2/VD7zvRhpwfnb+NFVes0ALGSwHEGMUyIEU1HzoqH638SM9/caH+tM7u9Xa1qFxo0fpv7+0RIWLZsY7PADDbCCDw3v27IlBJP3ndDplmmakOC5JlZWVFMcTUPDgET375kdyrd+h1Vv2qP2Eqnju2ZkqWjRTRYtmanbW6XGMEgAADCfLslRzrAHn1mMNOBfNzNDD1yyQ/TwacAIYHilVIDdNU4FAoMf7wnuPD2SZOTASNB08ot9t2Cn3Gzv053d362j78cLEBdMm6vGli/Tx2UOzggLAyFJSUtKvppuPP/64SktLYxxVdBwOh1auXNnlNorjiaPp4BE9t2GnXOt3yPPubrWdUBRfclaGihbN1NJFM2VOmRDHKAEAQDz8rXGv7vrd8QacMzPG6YGrOxtwptOAE8AwSqkCuc1mi2ylcrJw4fzEGWjASBc8eES/fatzprh3c/eieOGimSq8eIYunD6JZexACsvMzFR+fr7Ky8t17733atKknpextrS0qKKiQsXFxZozZ86Any8UCsnhcMgwDFVWVvZ6nNfrlcfjUXZ2diR/n7i3eCgUUigUkmEYcjqdkiS/36/S0lIGvOOo+dBRPbehc6b4yQOyi2Z2FsWLLp6heWdMjGOUAAAgXjbv3q/yFzfpmTc7G3BOOC1djivm6k4acAKIk5T65AnvUdoTv98vu90+zBEBQ2/f4TbVrP9AT7/xoVZv3tNltt6F0yfphotnqOjimTQ9A1JEVlaWmpuboz6+qqqqz/sNw9DcuXO1ePHifsficDgUCASUl5cnr9fbZ951u92qqamRy+WK3Ob1elVQUCCPxyPp+OC2z+eLFM5DoZDmzJmjxsbGhGskmsxaDh/V8xs7Z4r/8e3dOtLeEbnvwumTjm2fMkPzp5F7AABIVXsPHNH3ve/qpy8fb8D5jUvP0f1Xnk8DTgBxlVIF8qVLl0b+OD95Zpnb7e5zFhswEmwLHtRnVr6qd3cfiNx28YwMFS6aocKLKUwAqSgrK0uhUEg2m23IGlHX1NRoy5Ytqqio6NfjTsyzNTU1vR4XCoW0bNkyNTY2drndbrfL4XDI6XSqpKSkx+3RDMNQbm6uKioqyOsxtr+1Tb8/VhR/8e1dam07XhSfP22ilh7bPoUBWQAAUltrW7v+629dG3BePX+aqmjACSBBJF2BPBQKRf5gPplhGFq5cqUcDkeXGWlut1umabJnKUa0jR/t02dWvqoPmg/rrMxxuuMfZqvw4hk6jyXsQEoLbz9y2223xTuUqNXW1so0zR5ngBcXF6u6ulolJSWRgv/Jg96GYcjn8w1HqCnnQGubXnx7l2rX7dALm3bq8AlF8fPOmBApii9k6y4AAFKeZVmqXb9D5S8cb8B58YwMPfz5BSqgASeABJIUBfKqqirV1dUpEAhE/hUUFMgwDBUXF3cpfBcWFsowDDkcji57moaXawMj0evvNemzj7+m4MGjumDaRP2p5GM62xgf77AAJADTNEfcftwul6vX2e6macrn80VmxSP2Dh5p0x/e3iXX+g/1+407dfBoe+S+7Cmna+nizqL4xTMyKIoDAABJ0suNQd31/Aa99l5IEg04ASS2pCiQn9iwKxp2u539xpE0vO/u1nW/rNOBI+26ZJahF267VFMmnBbvsAAkiNra2niH0G/19fVaunRpj/eFi/2BQEA2m002my3y/2EUzwfv8NF2/fGdzpniz2/cqQNHjhfF52SdrqJFM1W8eKYWz6QoDgAAjtuy54DKX9ikp9/8UFJnA86yT3c24JwwNilKUACSEJ9OwAjmXr9DN/1mrY60d8g+b6qe+WqeJnLRAWAY3HHHHXr00Udjcu5QKHTKBpvhonhlZaUqKysjq8XCK8lO3EoN0Wlta9ef3tkt1/od+t2GndrX2ha579zJ41V0bPuUnLMzKYoDAIAuwg04H/37Vh1tpwEngJGFShowQq18dZtuf/oNWZZUePEM/erLSzR2dHq8wwKQImpra2NWIO9LuHAe7jcSXhHmcDg0ZcoU+f1+eTyeUxbYw1paWrp8PXbsWI0dO3bI4h0JPmg+pO/84R0989aHajl8vCh+dua4SFH8knMMiuIAUlpra6taW1sjX5+cP4BU1drWrp/8bat+sHqzQoeOSupswFn5uQt04YyMOEcHANGhQA6MMJZlqfIvW3Tvi29LkpZ97Bz99PqL2ccNwKBt3bpVXq830p+jN36//5THDKfBbJ02a9asLl9/97vf1X333TcEUY0Mf/Xv1dJf1WvX/iOSOvcHLVw0Q0sXzdTHzpmsUeQWAJAkVVRU6P777493GEDCsCxLrvUfqvzFTWoMHpREA04AIxcFcmAEsSxLd/9+o374vwFJUnn+XD1w1Xxm9QEYtOLiYrndblmWFdXx8frcCRfme2vi2V/bt29XRsbx2U2pMnvcsiz95OWt+vbvNqitw9JFMybpv754kT4xJ4uiOAD0oLy8XHfeeWfk65aWlm6DrECqeLkxqLt/v1GvbmuSJM3IGKsHrpqvW3JnMXELwIhEgRwYIdraO1TiekO/rN8uSXrk8wt052XZcY4KQDK455575PF4dPfddysvL0+Set2iJBQKye/3q7y8fBgjjJ2MjIwuBfJUcOhou+5wv6H/bnhfknTj4plaWbSIxlkA0IdU3IILOJl/zwHdc1IDzrsvn6tvX0YDTgAjG59gMZKXl6f09HQtX75cy5cvj3c4GOEOH23Xl55s0HMbdip9VJoeL1qkW/OYsQIkixUrVmjFihVqb2+Py/N7vV41NjYqMzMz6sc4nc6YxWOapgKBQI/3hfceN00zZs+fzLYFD+qGJ+rl+6BZo9KkqmsW6FufMlmJBAAAehU8eETf97yrn57QgPPrl5yj+z9zvmbQgBNAEqBAHiN1dXUpNyMNQ8uyLDW836yn1n6g2vU79EHzYY0dPUo1N+fo2oXT4x0egCEUHkxtaWnpV5F6qJim2e/nLS0tjVE0ks1m63WP83Dh3Gazxez5k9WazXtU/Kt67T14VFNOH6NVN+cofx57hAIAgJ61trVrxctb9YD3eAPOq84/Q5XXLNBFNOAEkEQokAMJZuNH+/TUug9Us26Htuw5ELl96oTT5LolR5dlT41jdACSUXZ2/7druvvuu2MQSaeCggJVVlb2eJ/f7x9wQ85UZVmWfvi/ATle2KgOS1pyVoaeuTVP52adHu/QAABAAuqpAedFMybp4WsW6Mrzp8U5OgAYehTIgQTQuPegVh0rir/xYUvk9vFjRunahdNVvHimrp4/TWNHp8cxSgDJKtrGnMNl6dKlcjgcCgQC3bZScbvdvRbP0d2B1jYtc63XqnU7JEm35JytRwsv1vgx5BMAANDd37cGddfzXRtwfv+q+bqVBpwAkhgFciBOPmw5rNr1O1Szbkfk4kOSxqSn6TPnTdONS2bq2oXTNZFmJwBirLS0VOXl5aqoqIj6MfPmzdPmzZsH/JyhUCiyn/jJDMPQypUr5XA45HK5Ire73W6ZpqnCwsIBP+/JkrlniH/PAV3/RJ3e/HCfRo9K0/+7dqH++R9ns984AAxCvPuGALHi33NA5S9ukvsNGnACSD1pVqJNGxvhwvvHNjc3swc5evXU2g/0tVXrdKS9Q5KUliZ9OnuqblwyU9dfNENZp58W5wgBxEM8c8jatWvldDp1++23a9GiRac8Pisrq9cCd2+qqqpUV1enQCAgn88nSbLb7TIMQ8XFxd0K316vVx6PR9nZ2ZE9ycvKyvr1nL1J9nz9x7d36cu/9il06KimTTxNtTfn6lPZU+IdFgAkjWTPI4mE1zq2ggeP6AHvZq14uTHSgPNrl5yj79GAE0ASiDaHMAwIDLMnG97XV1etVYcl5Z6dqZtyzlbRoplcfACIq+zsbGVmZkaaX5qmKcMwejw2EAioubm538/R3+K23W5nv/F+sixLFWu26Dt/fFuWJV0yy5D71lydbYyPd2gAACCBtLa166d/36oHPJvVRANOACmOAjkwjJ6o266v166TZUnfuPQcVd9wsUaxjxuAOGtsbFRubq6amo5v9+T3+/t8DNt0JJ59h9v0tZq1eubNjyR15pmfXHch/SsAAECEZVlyv9HZgDOwlwacACBRIAeGzc9ee08l7vWyLKn04+dqxXUXURwHkBAcDodycnJUWVmpJUuWnPL4UCik7OzsYYgM0Xpn135d/8s6bdq1X2PS0/Rf112kko+dG++wAABAAnnlWAPOV2jACQBdUCAHhoHz1W263f2GJGn5P87Wj794IbMvASSMQCCg+vr6qI83DEOTJ0+OYUToj+c3fKSbn1qrlsNtmpExVu5bcvXx2VnxDgsAACQI/54DuvfFTXIda8B5+ph03f3pbH37smxNpAEnAFAgB2Ltpy9v1T8/+6Yk6f98co7+49qFFMcBJJTc3Nx+P8blcsUgEvRHR4el73ne1fc870qS/nH2ZNXekktPCwAAIKl7A860NOlreZ0NOGdmcr0AAGEUyIEY+q+/Nepff/uWJOnOy0w9fM0CiuMAEs5AZoNHsxULYqf50FHd/Ju1+v2mnZKkf/qH2frhtQt12uhRcY4MAADEW08NOK887wxVXbNAF8+kAScAnIwCORAj//FXv779u42SpLsvz9ZDn7uA4jiAhJSVlaWtW7dq9uzZUT9mzZo1uuKKK2IXFHq18aN9uu6Xddq854DGjh6lR2+4WF/NmxXvsAAAQJxZlqWn3/hQ95zQgPPC6ZP08OcX6DM04ASAXlEgBwbBsix9tK9Vm3cf0Lt79mvz7gPavOeA3t29Xxt37pcklefP1QNXzac4DiBh3X333br99ttVVVWljIzoZhWVlpZq8+bNMY4s9vLy8pSenq7ly5dr+fLl8Q7nlJ5+Y4e+VrNO+1vbNcsYp6dvzVPuLCPeYQFAylixYoVWrFih9vb2eIcCdHFyA87pkzobcH41jwacAHAqFMiBKDQdPKJ3TyqCh4vi+1t7vjhOS5P+veA8/XvBeRTHASS8xx57TOXl5ZKkgoICmaaprKyeGz36/X4Fg8HhDC9m6urqoh4UiKf2Dkvf+ePbemjNFknS5dlTtOqmHE2bNDbOkQFAagkPqLa0tCgzMzPe4QAK7D2ge198W7Xrd0jqbMB51+XZuutyGnACQLT4tAT6sO6DZt35uw36H//eXo8ZlSbNzjpd502doLlnTNR5Uydo3hkTtPDMSTrbGD+M0QLAwIwaNarLQF5VVVUco8HJggeP6Cu/9ulP7+yWJH3zU6aqPneBRqez3zgAAKmq6VgDzp+c0IDzq3mz9P3PzKcBJwD0EwVyoAe797fqO398R4+/tk0dVudtZ2WO07xjxe/zpk7s/O8ZEzQn63SNHZ0e34ABYBBM01QgEJDdbpdhGKc83u/3a926dTGPC9L6Hc26/pf1agwe1Pgxo7SyaJG+bDs73mEBAIA4OdLWoZ/+fau+73k30oCz4LypeviahTTgBIABokAOnOBoe4dWvLxV9//5HTUfbpMkFS+eqcrPXaBzJp8e5+gAIDYMw5Db7db1118f9WOmTJkSw4ggSU+t/UC31a7ToaMdmj15vJ75ap4Wn8VyfgAAUpFlWXrmzQ91zwub5D/WgHPhmZ0NOK+aTwNOABgMCuQxMtKafkH60zu79K3nNujtXZ3NNRfPzNCPvnihPmlSBAIQW/Fu+JWbmyvTNPv1mDlz5sQoGrS1d8jxwib9x18Dkjpnhf3mKzmaMuG0OEcGAADi4dVtTbrr+Q36+9bjDTi/d9X5+mruLLZcA4AhkGZZlhXvIJJJuFlLc3PziGj6BWnz7v266/mNen7jTknS1Amn6QdXz9fXLzmHbt8AhhU5ZPgk6mu9e3+rvvSkT2u27JEklX16rn5w9XzyEQAkmETNI8kolV/rxr0Hde8fNqlmHQ04AWAgos0hfKIiZbUcPqofeDfrP18K6Gi7pdGj0vTPn5ijfy84T8b4MfEODwCQYtZ+0KzrflGn90KHNOG0dP28eLGKFs2Md1gAAGCYNR08oh+s3qyf/G2rjrR3RBpwfu8z5+uszPHxDg8Akg4FcqSUjg5Lr77XpKfWfqCadTu058ARSdJV55+hH35hoeZPmxTnCAEg8TU3N8tut6uuri7eoSSN90OH9Bnnq9pz4IjmTp2gZ27N1YUzUmuWHAAAqe5IW4cefaWzAWfw4PEGnFXXLNCimfQhAYBYoUCOpGdZltbvaIkUxd8LHYrcN2/qBP3w2oX67AXTlJbG8nUAiEZ9fb1CoVC8wxgSidAz5Ehbh4p/1aA9B45o8cwMrbnjH1jJBAAJKt59Q5Cc+mrA+Znzz+BvVQCIMQrkSFrv7t4fKYqHG29K0sSx6friwum6cclZKjjvDI2hqQmAFJeXl9ev430+nwzDiE0ww6yuri7u+5mWvbBRr2xrUua40XLfmktxHAASWHhANbynKTBYrx1rwPnysQacZ04aq+995nx9LY8GnAAwXCiQI6lsDx3SqmNFcd8HzZHbx44epc9dME03Lj5Ln1twpsaPSY9jlACQWPx+f9Qzwg3DoCAwhGrX7dCPX2qUJD3xpSUyp0yIc0QAAGA4nNyAc/yYUbrr8rm6mwacADDs+NTFiHekrUO/fesjOV/dpjVb9kRuTx+VpoJ5U3XjkrP0xQunK2McM/IAoCemaSovL0+PPvpor8c0NzfL4/HI6/Xqnnvu0ezZs4cvwCT19q59us21TpJU9um5unbh9PgGBAAAYq7p4BE9uHqL/utvjZEGnLfmztL3r6IBJwDECwVyjFiNew9q5Wvb9PPX39Ou/Z3NNtPSpE/OydKNi89S4aIZmjphbJyjBIDEl5WVpaKioj6PyczMVGFhoQoLC1VeXq7y8vK4b00ykh1obVPREw3a39quy7On6IGrzo93SAAAIIaOtHXosVe26nsnNOC0z5uqhz9PA04AiDcK5BhR2to79OLbu1T9yjb98Z1dsqzO26dPGqtvXHqObrvkHJ2bdXp8gwSAEaa6ulpz5syJ+viKigqVl5eroqIihlElL8uydPvTb2jDzn2aPmmsfvMVG3uMAgCQpCzL0rNvfaR7XtikLXsOSJIWnDlRD1+zQFfNn0YDTgBIABTIMSJ80HxIP3ttux5/bZvebz4cub3gvKkq/fhsfX7BmTTbBIAB6k9xPMwKj1Ci36pf2aZf+z5Q+qg0rbopR9MzxsU7JAAAEAOvbWvS3b/fqL81BiV1NuC8/zPn6+s04ASAhEKBHAmlta1dm3cf0KZd+7Vp5369vWufNu7crw0796m9o7MYM+X0MfraJeeo5GPnau5UmpkBQDw0Nzef+iB0U789pG8+t0GS9ODV8/Wp7ClxjggAAAy1xr0H9W9/2KRVJzTg/PZl2br78rmaNI4yDAAkGj6ZERf7Drfp7V37tWnXPm3atV9v7+z8r3/vwUgh/GSfMrNU8rFzdcPFMzR2dPowRwwAOFEgEIh3CCPO3gNHVPTf9TrS3qEvXjhdd12eHe+QAADAEAodOqoHV2/Wj186oQFnzix9/2oacAJAIqNAjmHTcvioVq3boV+8/p5eey/U63GTxo7WgjMn6oJpkzT/zIlacOYkXTR9EnuLA0CMtLS0RH1sIBBQRUWFTNOMYUTJp6PD0i1PrdW2pkPKnnK6fl68mD1HAQBIEj014MyfN1UPX7NAi8+iAScAJDoK5Igpy7L018Be/eL17XK9sUOHjnZE7ps28bQuRfALpk3UBWdO1MyMcRQNAGAYGYbRr89dwzDU2NgYw4iSz4NrNusPb+/SuNGj5L41V8b4MfEOCQAADJJlWfrtsQacm09owFl1zQJdTQNOABgxKJAjJj5oPqQn6t/XL15/T/69ByO3XzBtor52yTn68pKzNDOTpmQAkAhM01QgEFBhYWGfx2VlZSknJ0dLly5VRkbGMEUXW3l5eUpPT9fy5cu1fPnymDyH993d+u6f3pEkrbj+Ii2ayUwyABipVqxYoRUrVqi9vT3eoSDOXn+vSXc/v1EvHWvAOW3iafreVfNpwAkAIxAFcgyZI20den7jR/r569v1p3d2KbyV+KSxo1W8eKa+fsk5uvSc/s1SBADEnmEYcjqduu222+IdyrCrq6uLabH//dAhffnXPlmW9PVLztHXLjknZs8FAIi98IBqS0uLMjMZ8ExFW4MH9W9/eFtPrf1AUmcDzjsvy1YZDTgBYMTi0xuD0tFh6aXGvVq1bofc63do77H91qTOpppfyztHhRfP0ISx/KgBQKLKzc1lT/EYONreoRufbNCeA0e0eGaG/uu6C+MdEgAAGKCeGnDeknO2vn/VfJ1t0IATAEYyqpboN8uyVL+9WavWfaDa9Tv0QfPhyH0zMsbq1txZ+lreLM07Y2IcowQAROuxxx6LdwhJqez3G/X3rU3KHDdarltyNX5MerxDAgAA/XS0vUOPvbJN3/vzO5EJYVfMnaqHP79AS2jACQBJgQI5orbho31ate4D1azboS3HGpBIUua40br+4hm6cfFZ+nT2FPZbAwCkPNf6HfrRS52NTH954xJlT50Q54gAAEB/WJal5zZ8JMfvjzfgvGBaZwPOz15AA04ASCYUyGNkOJp+DYfA3gOqWbdDq9Z9oDc/3Be5/fQx6bp24ZkqXnyWrpp/hsaOZlYcAAxULBt+rVmzRldcccWQnxe9e2fXfn2jdp0k6e7Ls/WFC6fHNyAAANAvde+FdNfzG7o04Lz/M+frG5ecw4QwAEhCaZZlWfEOIpmEm7U0NzfHtOlXLLS2teuNHftUtz2kuu1Neu29kN7etT9y/5j0NF09f5qKF5+laxecyb7iADDEYpFD0tPTY1J4H+lila8PtLbpYz/+mzbs3KfLzCnylH6MP6QBIAmN5L/7BsLr9crj8Sg7O1uhUEiSVFZWNqBzhUIhORwOGYahysrKUx4/nK/1tmMNOH9zrAHnuNHHGnB+OlsZ48bE9LkBAEMv2hxChTNFdXRY2rzngF7f3qTX3wup7r2Q1u1o0ZH2ji7HjUrr3F+tePFZuv6i6Zp8+mlxihgAMBCZmZl69tlndd1118U7lKRnWZbuePoNbdi5T9MnjdVTN9kojgMARjy3262amhq5XK7IbV6vVwUFBfJ4PFGfx+FwKBAIKC8vT16vV3a7PRbhDkhzuAHn3xrV2tbZgPNm29l64GoacAJAKqBAnuTa2jvUGDyoTbv2a+POfXp7535t2rVfb+/ar32tbd2On3L6GF1yzmTlzTJ0yTmd/6ZOGBuHyAEAQ6WwsFB2u12GYSgrK6tfjw0vNOtpn81HH310SOJ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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(15,5))\n", + "plt.subplot(1,3,1)\n", + "plt.plot(roman_noise[:,0], roman_noise[:,1])\n", + "plt.xlabel('F146 AB mag')\n", + "plt.ylabel('Noise (ppt)')\n", + "plt.yscale('log')\n", + "plt.title('Roman noise')\n", + "\n", + "plt.subplot(1,3,2)\n", + "plt.plot(roman_monitored[:,0], roman_monitored[:,1])\n", + "plt.xlabel('F146 AB mag')\n", + "plt.ylabel('Number of Monitored stars')\n", + "plt.yscale('log')\n", + "plt.title('Roman monitored stars')\n", + "\n", + "plt.subplot(1,3,3)\n", + "plt.plot(roman_blend_frac[:,0], roman_blend_frac[:,1])\n", + "plt.xlabel('F146 AB mag')\n", + "plt.ylabel('Blend fraction')\n", + "plt.title('Roman flux contamination')\n", + "\n", + "plt.tight_layout()\n", + "plt.show()\n", + "\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [], + "source": [ + "roman_noise_interp = interp1d(roman_noise[:,0], roman_noise[:,1])\n", + "roman_monitored_interp = interp1d(roman_monitored[:,0], roman_monitored[:,1])\n", + "roman_blend_frac_interp = interp1d(roman_blend_frac[:,0], roman_blend_frac[:,1])\n", + "\n", + "#Create interpolations for the noise and monitored stars. Only need mag 15->21 so interpolate over that range\n", + "def roman_noise_func(mag):\n", + " if mag > roman_noise_interp.x[-1]:\n", + " return roman_noise_interp(roman_noise_interp.x[-1])\n", + " elif mag < roman_noise_interp.x[0]:\n", + " return roman_noise_interp(roman_noise_interp.x[0])\n", + " return roman_noise_interp(mag)\n", + "\n", + "def roman_monitored_func(mag):\n", + " if mag > roman_monitored_interp.x[-1]:\n", + " return roman_monitored_interp(roman_monitored_interp.x[-1])\n", + " elif mag < roman_monitored_interp.x[0]:\n", + " return roman_monitored_interp(roman_monitored_interp.x[0])\n", + " return roman_monitored_interp(mag)\n", + "\n", + "def roman_blend_frac_func(mag):\n", + " if mag > roman_blend_frac_interp.x[-1]:\n", + " return roman_blend_frac_interp(roman_blend_frac_interp.x[-1])\n", + " elif mag < roman_blend_frac_interp.x[0]:\n", + " return roman_blend_frac_interp(roman_blend_frac_interp.x[0])\n", + " return roman_blend_frac_interp(mag)" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.03281650508284671" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "roman_noise_func(20)*1e-2" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "6001.7526428155115" + ] + }, + "execution_count": 29, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "zp = 27.648\n", + "0.83*10**(-0.4*(18 - zp))" + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.001" + ] + }, + "execution_count": 52, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "1*1e-3" + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "metadata": {}, + "outputs": [], + "source": [ + "def get_realistic_magnification_thresh(mag, significance=8):\n", + " '''\n", + " Get the realistic magnification threshold for a detected event given magnitude and significance level in sigma\n", + " '''\n", + " threshold_above_baseline = roman_noise_func(mag) * significance \n", + " threshold_above_baseline_frac = threshold_above_baseline * 1e-3\n", + " flux_contamination = roman_blend_frac_func(mag)\n", + " return (1-flux_contamination)*(1+threshold_above_baseline_frac) + flux_contamination " + ] + }, + { + "cell_type": "code", + "execution_count": 70, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "mag_arr = np.linspace(15, 21, 100)\n", + "significance = 8\n", + "thresh_arr = np.array([get_realistic_magnification_thresh(mag, significance=significance) for mag in mag_arr])\n", + "plt.plot(mag_arr, thresh_arr)\n", + "plt.xlabel('F146 AB mag')\n", + "plt.ylabel('Mgnification threshold')\n", + "plt.title(r'${} \\sigma$ threshold'.format(significance))\n", + "plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Old version of the notebook" + ] + }, { "cell_type": "code", "execution_count": 52, diff --git a/examples/extended_old.ipynb b/examples/extended_old.ipynb new file mode 100644 index 0000000..ab8697e --- /dev/null +++ b/examples/extended_old.ipynb @@ -0,0 +1,2628 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "import pandas as pd\n", + "import seaborn as sns\n", + "from scipy.integrate import nquad, dblquad, tplquad\n", + "from scipy.optimize import minimize_scalar, fsolve, brentq\n", + "from scipy.integrate import quad\n", + "from math import erf\n", + "\n", + "from pathos.multiprocessing import ProcessingPool as Pool\n", + "from functools import partial\n", + "\n", + "from scipy.interpolate import interp1d, interp2d, RegularGridInterpolator\n", + "from tqdm import tqdm\n", + "# from multiprocessing import Pool\n", + "from pathos.multiprocessing import ProcessingPool as Pool\n", + "import functools\n", + "import pickle\n", + "from abc import ABC, abstractmethod\n", + "\n", + "from LensCalcPy.survey import *\n", + "from LensCalcPy.lens import * \n", + "from LensCalcPy.pbh import *\n", + "from LensCalcPy.utils import *\n", + "from LensCalcPy.galaxy import *\n", + "from LensCalcPy.parameters import *\n", + "\n", + "from fastcore.test import *\n", + "\n", + "%load_ext autoreload\n", + "%autoreload 2" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "plt.style.use(\"style.mplstyle\")\n", + "sns.set_palette(\"colorblind\")\n" + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "metadata": {}, + "outputs": [], + "source": [ + "class Nfw(Lens):\n", + " \"\"\"A class to represent a PBH population\"\"\"\n", + "\n", + " def __init__(self,\n", + " mass: float, # PBH mass in solar masses\n", + " mw_model=None,\n", + " l = None,\n", + " b = None,\n", + " ds = 770,\n", + " ut_interp = None,\n", + " R90 = None,\n", + " u_t = 1,\n", + " rS = 1,\n", + " ):\n", + " \"\"\"\n", + " Initialize the PBH population\n", + " \"\"\"\n", + "\n", + " self.mw_model = mw_model or MilkyWayModel(mw_parameters)\n", + " self.m31_model = M31Model(m31_parameters)\n", + " \n", + " if l is None:\n", + " raise ValueError(\"Galactic longitude must be specified\")\n", + " if b is None:\n", + " raise ValueError(\"Galactic latitude must be specified\")\n", + " self.l = l\n", + " self.b = b\n", + "\n", + " self.mass = mass\n", + " self.ut_interp = ut_interp\n", + " self.ds = ds\n", + " self.R90 = R90 #radius of 90% of the mass of the halo in kpc\n", + " self.u_t = u_t #upper limit of u\n", + " self.rS = rS #scale radius in solar radii\n", + " \n", + " def __str__(self) -> str:\n", + " return f\"NFW population with mass={self.mass}\"\n", + " __repr__ = __str__\n", + "\n", + "\n", + " def _rho_func(self, m, d):\n", + " return rho_func(m, d, self.ds) * self.rS #rS in solar radii\n", + "\n", + " def umin_upper_bound(self, d, m=None):\n", + " if m is None:\n", + " m = self.mass\n", + " rho = self._rho_func(m, d)\n", + " eR = einstein_rad(d, m, self.ds)\n", + " # return u_t_nfw(rho, self.R90/eR)\n", + " return u_t_nfw_101(rho, self.R90/eR)\n", + "\n", + " \n", + " def differential_rate_total(self, t, finite=True):\n", + " return self.differential_rate_mw(t, finite=finite) + self.differential_rate_m31(t, finite=finite)\n", + " \n", + " def compute_differential_rate(self, ts, finite=False):\n", + " return [self.differential_rate_total(t, finite=finite) for t in ts]\n", + "\n", + " def d_upper_bound(self, m=None):\n", + " if m is None:\n", + " m = self.mass\n", + " #Determine upper limit for d otherwise for low masses, the contribution which only comes from d << 1 gets missed\n", + " d_arr = np.logspace(-3, np.log10(self.ds*0.99), 100)\n", + " for d in d_arr:\n", + " if self.umin_upper_bound(d,m=m) == 0:\n", + " return d\n", + " return self.ds\n", + " \n", + " def differential_rate_integrand_new(self, umin, d, model, tmin=0.07, tmax=3, finite=False, v_disp=None, t_fwhm=False):\n", + "\n", + " #Analytically perform integral over t\n", + " r = model.dist_center(d, self.l, self.b)\n", + " ut = self.umin_upper_bound(d) if finite else self.u_t\n", + " if ut <= umin:\n", + " return 0\n", + " if v_disp is None: \n", + " # v_disp = model.velocity_dispersion_dm(r)\n", + " v_disp = model.velocity_dispersion_nfw(r)\n", + " \n", + " # if t_fwhm:\n", + " # ut = u_fwhm_interp([rho_func(self.mass, d, self.ds), umin])[0]\n", + " # ut = self.ut_interp(self._rho_func(self.mass, d), umin)\n", + "\n", + " A = 2/(ut**2 - umin**2)**0.5 * model.density_dm(d, self.l, self.b) / (self.mass * (v_disp*htosec)**2 ) * (2 * einstein_rad(d, self.mass, self.ds)* (ut**2 - umin**2)**0.5)**4 * kpctokm**2\n", + " B = (2*einstein_rad(d, self.mass, self.ds) * kpctokm * (ut**2 - umin**2)**0.5)**2 / (v_disp*htosec)**2\n", + "\n", + " def integral_t(t):\n", + " return A/(2*B) * (np.exp(-B/t**2 )/t - np.pi**(1/2) * erf(B**(1/2)/t) /(2* B**(1/2)))\n", + "\n", + " return integral_t(tmax) - integral_t(tmin)\n", + "\n", + " def rate_total_new(self, integrand_func, finite=True, tcad=0.07, tobs=3, epsabs = 1.49e-08, epsrel = 1.49e-08, efficiency=None): \n", + "\n", + " # Innermost integral over t\n", + " if efficiency is None:\n", + " def inner_integrand(u, d):\n", + " return integrand_func(u, d, tmin=tcad, tmax=tobs)\n", + " else:\n", + " t_arr = np.logspace(np.log10(tcad), np.log10(tobs), 10) #Evaluate the efficiency at 10 logarithmic points between tcad and tobs\n", + " t_mins = t_arr[:-1]\n", + " t_maxs = t_arr[1:]\n", + " def inner_integrand(u, d):\n", + " return np.sum([integrand_func(u, d, tmin=tmin, tmax=tmax) * efficiency((tmin*tmax)**(1/2)) for tmin, tmax in zip(t_mins, t_maxs)]) #use geometric mean of tmin and tmax to evaluate efficiency\n", + " \n", + " # Second integral (over u) - bounds given by d\n", + " def second_integral(d):\n", + " u_min, u_max = 0, self.umin_upper_bound(d)\n", + " result, error = quad(inner_integrand, u_min, u_max, args=(d), epsabs=epsabs, epsrel=epsrel) \n", + "\n", + " return result\n", + " \n", + " # Outermost integral (over d)\n", + " # d_min, d_max = 0, self.d_upper_bound() if finite else self.ds\n", + " d_min, d_max = 0, self.ds\n", + "\n", + " result, error = quad(second_integral, d_min, d_max, epsabs=epsabs, epsrel=epsrel)\n", + " return result \n", + " \n", + " def rate_mw_new(self, finite=True, tcad = 0.07, tobs = 3, efficiency=None, epsabs = 1.49e-08, epsrel = 1.49e-08, t_fwhm=False, v_disp=None):\n", + " def integrand_func(umin, d, tmin, tmax):\n", + " return self.differential_rate_integrand_new(umin, d, self.mw_model, tmin, tmax, finite=finite, t_fwhm=t_fwhm, v_disp=v_disp)\n", + " return self.rate_total_new(integrand_func, finite=finite, tcad=tcad, tobs=tobs, efficiency=efficiency, epsabs=epsabs, epsrel=epsrel)\n", + " \n", + " def rate_m31_new(self, finite=True, tcad = 0.07, tobs = 3, efficiency=None, epsabs = 1.49e-08, epsrel = 1.49e-08, t_fwhm=False, v_disp=None):\n", + " def integrand_func(umin, d, tmin, tmax):\n", + " return self.differential_rate_integrand_new(umin, d, self.m31_model, tmin, tmax, finite=finite, t_fwhm=t_fwhm, v_disp=v_disp)\n", + " return self.rate_total_new(integrand_func, finite=finite, tcad=tcad, tobs=tobs, efficiency=efficiency, epsabs=epsabs, epsrel=epsrel)\n", + " \n" + ] + }, + { + "cell_type": "code", + "execution_count": 478, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "15.20758807032295" + ] + }, + "execution_count": 478, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "rho_func(1.818e-10, 1, 8.5)" + ] + }, + { + "cell_type": "code", + "execution_count": 467, + "metadata": {}, + "outputs": [], + "source": [ + "def Mcut(Amax, d, Rs, ds):\n", + " return (Amax**2-1)*d*(Rs*rsolkpc)**2*c**2/(16* ds**2 *G)\n", + " # return (-d * Rs**2 + Amax**2 * d * Rs**2)/(16 * c**2 * ds**2 * G)" + ] + }, + { + "cell_type": "code", + "execution_count": 476, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "1.817888876036051e-10" + ] + }, + "execution_count": 476, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "Mcut(1.01, 1, 1, 8.5)" + ] + }, + { + "cell_type": "code", + "execution_count": 327, + "metadata": {}, + "outputs": [], + "source": [ + "def _rho_func(m, d, ds, rS = 1):\n", + " return rho_func(m, d, ds) * rS #rS in solar radii\n", + "\n", + "def umin_upper_bound(d, m, ds, R90, u_t_func):\n", + " rho = _rho_func(m, d, ds, rS = 1)\n", + " eR = einstein_rad(d, m, ds)\n", + " return u_t_func(rho, R90/eR)\n", + "\n", + " \n", + "def d_upper_bound(m, ds, R90, ut_func):\n", + " #Determine upper limit for d otherwise for low masses, the contribution which only comes from d << 1 gets missed\n", + " d_arr = np.logspace(-3, np.log10(ds*0.99), 100)\n", + " for d in d_arr:\n", + " if umin_upper_bound(d,m, ds, R90, ut_func) == 0:\n", + " return d\n", + " return ds\n", + " \n", + "def differential_rate_integrand_new(umin, d, model, l, b, mass, ds, R90, u_t_func, tmin=0.07, tmax=3, finite=False, v_disp=None):\n", + " # Calculate distance to galaxy center\n", + " r = model.dist_center(d, l, b)\n", + " \n", + " # Calculate upper bound for minimum impact parameter\n", + " ut = umin_upper_bound(d, mass, ds, R90, u_t_func) \n", + " if ut <= umin:\n", + " return 0\n", + "\n", + " # Calculate velocity dispersion if not provided\n", + " if v_disp is None: \n", + " v_disp = model.velocity_dispersion_nfw(r)\n", + "\n", + " # Calculate factors for integral over t\n", + " einstein_radius = einstein_rad(d, mass, ds)\n", + " density_dm = model.density_dm(d, l, b)\n", + " A = 2/(ut**2 - umin**2)**0.5 * density_dm / (mass * (v_disp*htosec)**2 ) * (2 * einstein_radius * (ut**2 - umin**2)**0.5)**4 * kpctokm**2\n", + " B = (2*einstein_radius * kpctokm * (ut**2 - umin**2)**0.5)**2 / (v_disp*htosec)**2\n", + "\n", + " # Define integral over t\n", + " def integral_t(t):\n", + " return A/(2*B) * (np.exp(-B/t**2 )/t - np.pi**(1/2) * erf(B**(1/2)/t) /(2* B**(1/2)))\n", + "\n", + " # Return difference of integral at tmax and tmin\n", + " return integral_t(tmax) - integral_t(tmin)\n", + "\n", + "def rate_total_new(integrand_func, mass, ds, R90, u_t_func, finite=True, tcad=0.07, tobs=3, epsabs = 1.49e-08, epsrel = 1.49e-08, efficiency=None): \n", + "\n", + " # Innermost integral over t\n", + " if efficiency is None:\n", + " def inner_integrand(u, d):\n", + " return integrand_func(u, d, tmin=tcad, tmax=tobs)\n", + " else:\n", + " t_arr = np.logspace(np.log10(tcad), np.log10(tobs), 10) #Evaluate the efficiency at 10 logarithmic points between tcad and tobs\n", + " t_mins = t_arr[:-1]\n", + " t_maxs = t_arr[1:]\n", + " def inner_integrand(u, d):\n", + " return np.sum([integrand_func(u, d, tmin=tmin, tmax=tmax) * efficiency((tmin*tmax)**(1/2)) for tmin, tmax in zip(t_mins, t_maxs)]) #use geometric mean of tmin and tmax to evaluate efficiency\n", + " \n", + " # Second integral (over u) - bounds given by d\n", + " def second_integral(d):\n", + " u_min, u_max = 0, umin_upper_bound(d, mass, ds, R90, u_t_func)\n", + " result, error = quad(inner_integrand, u_min, u_max, args=(d), epsabs=epsabs, epsrel=epsrel) \n", + "\n", + " return result\n", + " \n", + " # Outermost integral (over d)\n", + " # d_min, d_max = 0, self.d_upper_bound() if finite else self.ds\n", + " d_min, d_max = 0, ds\n", + "\n", + " result, error = quad(second_integral, d_min, d_max, epsabs=epsabs, epsrel=epsrel)\n", + " return result \n", + " \n", + "def rate_mw_new(mass, ds, l, b, R90, u_t_func, finite=True, tcad = 0.07, tobs = 3, efficiency=None, epsabs = 1.49e-08, epsrel = 1.49e-08, v_disp=None):\n", + " def integrand_func(umin, d, tmin, tmax):\n", + " return differential_rate_integrand_new(umin, d, MilkyWayModel(mw_parameters), l, b, mass, ds, R90, u_t_func, tmin, tmax, finite=finite, v_disp=v_disp)\n", + " return rate_total_new(integrand_func, mass, ds, R90, u_t_func, finite=finite, tcad=tcad, tobs=tobs, efficiency=efficiency, epsabs=epsabs, epsrel=epsrel)\n", + "\n", + "def rate_m31_new(mass, ds, l, b, R90, finite=True, tcad = 0.07, tobs = 3, efficiency=None, epsabs = 1.49e-08, epsrel = 1.49e-08, v_disp=None):\n", + " def integrand_func(umin, d, tmin, tmax):\n", + " return differential_rate_integrand_new(umin, d, M31Model(m31_parameters), l, b, mass, ds, R90, u_t_func, tmin, tmax, finite=finite, v_disp=v_disp)\n", + " return rate_total_new(integrand_func, mass, ds, R90, u_t_func, finite=finite, tcad=tcad, tobs=tobs, efficiency=efficiency, epsabs=epsabs, epsrel=epsrel)\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 352, + "metadata": {}, + "outputs": [], + "source": [ + "d_arr = np.logspace(-3, np.log10(8.5*0.99), 100)\n", + "e_r_arr = np.array([einstein_rad(d, m_arr[-1], 8.5) for d in d_arr])" + ] + }, + { + "cell_type": "code", + "execution_count": 362, + "metadata": {}, + "outputs": [], + "source": [ + "r90_max_arr = np.zeros_like(m_arr)\n", + "r90_min_arr = np.zeros_like(m_arr)\n", + "\n", + "for i, m in enumerate(m_arr):\n", + " e_r_arr = np.array([einstein_rad(d, m, 8.5) for d in d_arr])\n", + " r90_max_arr[i] = np.max(R90_values_dressed_expected[i]/e_r_arr)\n", + " r90_min_arr[i] = np.min(R90_values_dressed_expected[i]/e_r_arr)\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 366, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5, 1.0, 'Expected Dressed PBH')" + ] + }, + "execution_count": 366, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.loglog(m_arr, r90_min_arr)\n", + "\n", + "plt.xlabel(r\"$M [M_\\odot]$\")\n", + "plt.ylabel(r\"Min($R_{90}/R_E$)\")\n", + "plt.title(\"Expected Dressed PBH\")" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "r90_vals_dressed = np.round(np.logspace(-1, np.log10(300), 50),2)\n", + "r90_vals_nfw = np.round(np.logspace(-1, np.log10(1000), 50),2)\n", + "r90_vals_axion = np.round(np.logspace(-1, np.log10(40), 50),2)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "roman_df = pd.read_csv('roman_sensitivity.csv', header=None, names=['t_e [days]', 'efficiency'])\n", + "roman_efficiency_interp = interp1d(roman_df['t_e [days]'], roman_df['efficiency'])\n", + "def roman_efficiency(t):\n", + " '''\n", + " Takes in crossing time in hours and returns the efficiency of Roman\n", + " '''\n", + " t_day = t/24\n", + " if t_day <= np.min(roman_df['t_e [days]']):\n", + " return roman_df['efficiency'][0]\n", + " if t_day >= np.max(roman_df['t_e [days]']):\n", + " return roman_df['efficiency'][len(roman_df)-1]\n", + " return(roman_efficiency_interp(t_day))\n", + "\n", + "def fake_effieiency(t):\n", + " return 1" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "# params = {\"l\": 1.0, \"b\": -1.03, \"source_dist\": 8.5, \"obs_time\": 6*72*24, \"cadence\": 15/60, \"n_sources\": 2.4e8, \"efficiency\": 1, \"A_t\": 1.34, \"survey_area\":0}\n", + "rsolkpc = 2.25e-11\n", + "params = {\"l\": 1.0, \"b\": -1.03, \"source_dist\": 8.5, \"obs_time\": 6*72*24, \"cadence\": 15/60, \"n_sources\": 2.4e8, \"efficiency\": 1, \"A_t\": 1.34, \"survey_area\":0}" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "1.655346453341097e-10\n", + "4.545648836200719e-11\n" + ] + } + ], + "source": [ + "R90_test = r90_vals_nfw[10]\n", + "m_test = 1e-8\n", + "print(rate_mw_new(m_test, params['source_dist'], params['l'], params['b'], R90_test*rsolkpc, u_t_nfw, tcad=params['cadence'], tobs=params['obs_time'], efficiency=None, epsabs=0, epsrel=1e-1))\n", + "print(rate_mw_new(m_test, params['source_dist'], params['l'], params['b'], R90_test*rsolkpc, u_t_nfw, tcad=params['cadence'], tobs=params['obs_time'], efficiency=None, epsabs=0, epsrel=1e-1))\n", + "\n", + "# print(nfw.rate_mw_new(tcad=params['cadence'], tobs=params['obs_time'], efficiency=fake_effieiency, epsabs=0, epsrel=1e-1))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Extended Sources" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### NFW" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [], + "source": [ + "def calculate_rate(m, R90, u_t_func):\n", + " # return rate_mw_new(m, params['source_dist'], params['l'], params['b'], R90*rsolkpc, u_t_func, tcad=params['cadence'], tobs=params['obs_time'], efficiency=roman_efficiency, epsabs=0, epsrel=1e-1)\n", + " return rate_mw_new(m, params['source_dist'], params['l'], params['b'], R90*rsolkpc, u_t_func, tcad=params['cadence'], tobs=params['obs_time']*100, efficiency=roman_efficiency, epsabs=0, epsrel=1e-1)" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 3/3 [03:14<00:00, 64.83s/it]\n" + ] + } + ], + "source": [ + "m_arr = np.logspace(-11, 4, 100)\n", + "\n", + "R90_values = [0.1, 10, 100]\n", + "rate_dict_e = {}\n", + "\n", + "for R90 in tqdm(R90_values):\n", + " func = partial(calculate_rate, R90=R90, u_t_func=u_t_nfw)\n", + " with Pool() as pool:\n", + " rate_arr = np.array(pool.map(func, m_arr))\n", + " \n", + " rate_dict_e[R90] = rate_arr" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 3/3 [03:11<00:00, 63.70s/it]\n" + ] + } + ], + "source": [ + "m_arr = np.logspace(-11, 4, 100)\n", + "\n", + "rate_dict_e_101 = {}\n", + "\n", + "for R90 in tqdm(R90_values):\n", + " func = partial(calculate_rate, R90=R90, u_t_func=u_t_nfw_101)\n", + " with Pool() as pool:\n", + " rate_arr = np.array(pool.map(func, m_arr))\n", + " rate_dict_e_101[R90] = rate_arr" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [], + "source": [ + "def fdm_constraint(rate, obs_time, n_sources):\n", + " fdm = 3.0 / (rate*obs_time*n_sources)\n", + " return np.where(fdm==np.inf, 1e3, fdm)" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_67666/614136275.py:2: RuntimeWarning: divide by zero encountered in divide\n", + " fdm = 3.0 / (rate*obs_time*n_sources)\n" + ] + } + ], + "source": [ + "fdm_dict_e = {}\n", + "\n", + "for r90, rate_arr in rate_dict_e.items():\n", + " fdm_arr = fdm_constraint(rate_arr, params['obs_time'], params['n_sources'])\n", + " fdm_dict_e[r90] = fdm_arr" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_67666/614136275.py:2: RuntimeWarning: divide by zero encountered in divide\n", + " fdm = 3.0 / (rate*obs_time*n_sources)\n" + ] + } + ], + "source": [ + "fdm_dict_e_101 = {}\n", + "\n", + "for r90, rate_arr in rate_dict_e_101.items():\n", + " fdm_arr = fdm_constraint(rate_arr, params['obs_time'], params['n_sources'])\n", + " fdm_dict_e_101[r90] = fdm_arr" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [], + "source": [ + "color_dict = {0.1: 'C0', 1: 'C1', 5: 'C2', 10: 'C3', 20: 'C4', 50: 'C5', 100: 'C6'}" + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "metadata": {}, + "outputs": [], + "source": [ + "r90_01_df = pd.read_csv('extended_dat/r90_01.csv', header=None)\n", + "r90_100_df = pd.read_csv('extended_dat/r90_100.csv', header=None)\n", + "\n", + "def plot_existing_limits(ax=None):\n", + " if not ax:\n", + " ax = plt.gca()\n", + " ax.fill_between(r90_01_df[0], r90_01_df[1], 1, alpha=0.2, color=color_dict[0.1])\n", + " ax.fill_between(r90_100_df[0], r90_100_df[1], 1, alpha=0.2, color=color_dict[100])\n", + " # plt.fill_between(r90_01_df[0], r90_01_df[1], 1, alpha=0.2, color=color_dict[0.1])\n", + " # plt.fill_between(r90_100_df[0], r90_100_df[1], 1, alpha=0.2, color=color_dict[100])\n", + " " + ] + }, + { + "cell_type": "code", + "execution_count": 112, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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5udl1LuenKsuytL6+3vrGqFQqo/40AAAARurg4EDPnz9XvV5vvWUyGRmGoe3t7bZiYa+8lE6nVSgUtLOzo7W1NTUaDZmm2WqddRiGoZOTE1mW1dUtsL+/n/jwLElzzWaz2f8weDk/P9fKyoq+8eF2rMYeAQAAf5fNd/qtzw91dname/fujfW1nezw+//fPzX8GLvOc796rz/zr/zziXxesyaxLRwAAADAJBCgAQAAgBAI0AAAAEAIBGgAAAAgBAI0AAAAEAIBGgAAAAiBAA0AAACEQIAGAAAAQiBAAwAAACEQoAEAAIAQCNAAAABACARoAAAAIITFSV8AAADArPnRpfTRZbTn/Czi88EfFWgAAAAgBAI0AAAAEAIBGgAAAAiBAA0AAACEQIAGAAAAQiBAAwAAACEQoAEAAIAQCNAAAABACARoAAAAIAQCNAAAABACARoAAAAIgQANAAAAhECABgAAAEIgQAMAAAAhEKABAACAEAjQAAAAQAgEaAAAACAEAjQAAAAQAgEaAAAACIEADQAAAIRAgAYAAABCWJz0BQAAAMyaf3a5pjuXC5Ge883llaR/Huk54Y0KNAAAABACARoAAAAIgQANAAAAhECABgAAAEIgQAMAAAAhEKABAACAEAjQAAAAQAgEaAAAACAEAjQAAAAQAgEaAAAACIEADQAAAIRAgAYAAABCIEADAAAAIRCgAQAAZoBt28rn87IsK7JzHhwcqFqtRn5s3BGgAQAApphlWcrlcioWi6pWq7JtO5Lz2rYty7ICnS/MsUmwOOkLAAAAwOjs7++3/v/w8DCy8xaLxZEcmwRUoAEAABBKtVpVOp2O/NikIEADAAAglFqtplQqFfmxSUGABgAAQGDFYlF7e3uRH5skBGgAAAAEUq/Xtba2FvmxSUOABgAASKCLt+/15tXVzdtnVyN/zXK5rGw2G/mxScMUDgAAgDH7Zxcf6/a74WLYb/xaXf+nX3sR0RX1R3i+QYAGAABIoMzuff3i//gnWu9/8dml/vYv/mcjeS3bttVoNGSaZqTHJhUtHAAAAAm0eGtetz9abHsblWKxqN3d3ciPTapEB+hisSjLspTJZLSxsTHQ1pS5XE75fF61Wk3S9U9N1WpVuVyu9RgAAMCsmvWRdV4S28JhWZby+XzrJxzbtpXL5bS6uqoXL17IMIxA57FtW+VyuW2HHMMwVCqVZuIbAAAAoJd6va7Dw0MVCoW2x51tuZ88eaLDw0Otra0pk8kEPrbzmCRJZIAul8va3t5u661xQu/q6qpyuZwqlUqgc6VSKVmW1ao2m6Y51U3vAAAAYWSzWc9sZNu2VldX9fjx47bnwxybVIkM0M+fP/f84huGod3dXRWLRdm2HbgKnU6np26LSQAAgLBs29bx8TG5qI9E9kAXi0VlMhnP5zY2NiRJx8fH47wkAACA2HMmZPjJ5XLKZDJtra1+6vW6JPU83yDHJkEiK9Cbm5u+zzk9NtO68w0AAEAYBwcHev78uer1eustk8nIMAxtb2+3/VY/k8no+Pi4Z9aq1Wp68uRJKxRblqVKpaJMJtM1fSPMsUmSyADdq7/59PRUkkItAKzX66pWq23nePz4ceAWEAAAgLja29sLdWy/41OplEqlUqDzhTk2SRIZoHsJO3uwXq+rVqu1fUytVtPGxoZOTk4ChejL5kXb+/Na0PzcQuBrAAAAo/O+eaX3utnmuvPfbSCsqQrQlmXJNE3t7+8H/hivn4pSqZRSqZR2dnYC/dT02198v+19c/Gn9S/f+pnA1wAAAEanfvF7ql/+7qQvA1NkagJ0rVZTsVgMXDXuJ5PJKJ/PBzr2F27/khbnllrvz4vqMwAAcWEu/ZTuL3299f5l86Kr+AWEkcgpHF5yuZyePXsW2b7rziLEILsRLs4taXHuVuuN9g0AAOJjfm6h7d9pd9ELGMRUBOhMJqNCoRB658B8Pu+7/bdTxZ6WcSsAAACIRuIDtBOCBxn4fXR01Bqr0sl5vNcYFwAAAMyeRAfog4MD5XK5rvDcOZbOz+7uru8iwUqlItM0GWUHAACANokN0OVyWalUyrPyXKvV2nqhbdv2DNQPHz707HG2bVvlcjnUNA8AAADMhkRO4ajVaioUCsrlcm1bTTq7EB4eHurk5KT1eC6XU7VaVaFQaJv3nM1mlc/nlc/n2/qnHz16pN3d3badeQAAAAApoQH60aNHvlVlSV2TOHptS1koFHRwcKDDw8PW/vCPHz8mPAMAAMBTIgP0y5cvQx3fb1vKMFtcAgAAYLYltgcaAAAAmIREVqABAACS7A/erumDpWg3dHn79iLS88EfFWgAAAAgBAI0AAAAEAIBGgAAAAiBAA0AAACEQIAGAAAAQiBAAwAAACEQoAEAAIAQCNAAAABACARoAAAAIAQCNAAAABACW3ljZsyvGpO+hIl6/9Ke9CUAADAVCNARmDcMzc/fmvRlAD2F+QGCsA0AgD8CNBKruXJ30peQWHNnr3o+P79qEKIBAPBBgI5A895Hai58MOnLwARcrXw4ttdaOPs8snP1++GjX8AGAGCWEaCRGOMMq3EU9effK5A3V+5qXrRyAADghQAdkVGGuygrj35mPZxe3Fua9CVEaun8ou8xve75OL7nAABIKgJ0BK7u3R7pF5Jwm/xw++6e/3fIrfPLyF8v6NfML2hfrXyoBUmiAg0AQBcCNCKRhJDbK8RO0riuyyuo+903J1izmBAAgG7xTBQJc3FvSc3F+AfIJIpD6H13d27Sl9DXrVfNvsd4fS39qt8X95Zo4wAAwMfk0wmmEsF3vMJ8ru6w3StUO20cLCYEAKDd5FPOFHh3d1Hvl/hSRm3cAfjio+kJ3Euf+Vek3V9Xr8q1E6qDLEQEAGAWkfowcuMMwuMKwRfLY3kZT0uv+x/T6+vgDted98YdqJ3+aBYTAkD0/qvPDS1FvIvxxefvIj0f/BGgI3Dx0Zze35qe6mVcjDIMTzIADyvstXcG7s6vq1eg7qxMs5gQAIAbBGiMxagrw6MKxJcJCtqLPpVpr6+NO1S7740Tpq+D9PVfDywmBACgHQE6IqMMiL36WaMSx/7fqEPxqMLw5d33ozmxy+Kr+f7X0efzcwds99fWK0y7v+dYTAgAQDsCdAQulueu+0RHdf4YhttBxTkUjyMIDyrstXkFbvfXql+YvvmeW2QxIQAAHQjQIzJsn2rcjbqHOKpgHGUovlq+iuxcUVl47f2jm9/n7QTrfmG6rSr95WLCxbNXg18oAABThAAdgYtl6f0Hw59jVsQpHEcZiheXo9+S+/J17z+i/a6/M2C7v2adYbo7SM+1LSZsrtyljQMAABGgx8IroEyTUfQWDxuOowjGowjEo76GzsDt9XVwQrXzNe5VlWYxIQAA3QjQEbi8IzVvBzhuhqrMvUy6chxFMF5e/mLocwzq9Wv/bza/z80drJ2vnV+Qlm6+V5c+uzmHs5iQmdAAgFlHgEZk4tJvPGhAHkUoXrvzJvCxjTd3Ah3X7zq9Arb7a+KE6SBB2msxITOhAQCzjgAdgau779W8Pd4JDkHGmrnFbcJEkgJymBA8jGFexx2+/T5PJ1g7X7++Qfp1+/cYiwkBALhGgE6ouAVit0n1H08iIH/lzmf9D4rIH775yPc5r8+hs6Lt/vq8fn27f5ButRyxmBAAADcCdERGOeLMb1RZlMY9om2cVeRBAvKogvHX7rxs/f+P3qyG+tgg1+QO2b1CtfN19AvSnd9zLCYEAOAGAToCV3euNK+l0Z0/hvOHgxhmsV7YoBw2JA8akN0BeFhRnKszhHt9Xl6hul+Qvvmeu27jYDEhAAA3CNAjMuz4sbiLasTbOCrKg4TlKMLt1z74NPTH/Ojtx+Few+M6e4VqJ0x7BWl3j3Tn9yOLCQEg+WzblmVZMgxD+/v7A52jWCzq9PRUtVpNjUZD6XTa91zValWVSkXr6+uybVuStLe3N+jlx0qyUltMLd651Pyd4QJlmEA6aNiOw1zjcfYphw3Ow4TmQcJy0PMMEqr92kO+cuezroq0b4huHdVehXYWE1KFBoBksCxL9XpdDx8+VLVaVTqdHvg8+Xxeu7u7kq4DeS6X0+rqql68eCHDMFrHlstlHR4eqlQqtR6rVqvKZDKqVCpDfT5xQIBOoDgE4aCGGQ036OK+cQXnqEJz0NcJE6SjDNHOxBd3FVq67oWeXzVCfCbtqF4DwHi4K8SHh4cDnaNcLmt7e1umabYeMwxDpVJJq6uryuVyrWBs27Z2dnb04sWLtnOk02lZlqVisdgK4UlFgEZkopijPK7QLMU/OPd63SBh2vn8vIJ0Z4h2c4doyZn44oy0u5nI0eqF7mPOZ+ydX/gmWANA/Dx//lzZbLbrccMwtLu7q2KxKNu2ZRiGjo6OZJpmW0Xasb29rUKhQIBGuyhCZK+d5uIg6g1HkhCapckFZy9hqtJ+1Wh3iHZXoaWbEO1u5XDmQrsnckj9p3I0V+62ve8XqAEA8VUsFlWr1TzbLzY2NiRJx8fHSqfTKpVKWltb8zyPaZqq1WqtsJ1UBOgI3Fl+q4Vgm8gFMsltosdhEnOXk1ZtDipokB4kRHdyz4WWpFvn1+9drXwY6FqdoE2gBoDk2dzc9H3OWSDohObj42NtbW15Huu0gNTrdaVSqWgvcowI0BipKHbxG2Ym87QG505BgrRfS4dfiPaqQkvzWnp9/X/v7vn/9eFM6nBzgnZnxdodqOfOXjHdAwBiqNfCv9PTU0lqBeIg1WUCNKDot7uettB8/9afeD7+ybsfi/R1ggbpsCHa7WJZcqrQ0qJunXcvanUmdbg5odovSEvXYZqKNAAEc/XuSu8vbvaKuHj9biLXEWZRoBOsG43GCK9o9AjQEYo6RErd2zGPyiiuPYxhd/6bdG+zX0Ae9uMGDdhf++DT0CHarbOdo9dYu16VaEmtgO2E6iBBmio0gGn3R2+WtTj3wVDn+OR/+3/T7//v/u8RXdFgLMuSaZoDz5VOKgJ0BFY/fKPFO6PZLXDSwXZUotgqO6mhedDXCBum+1WjO0O033i7zlaO7rF27ZwpHQ4nYLuDtLvFozNIU4UGgGB+4i/9vP50dqP1/uWbd/p//qXi2F6/VqupWCzq5OQk8ILAzn7ppCJAY6SiCMpuw+4QOGxwHkdo7vfagwTpQUO0w93K0TnWTpKWPrsJzddTOrzcBOnOarTUHaSpQgNAb/O3FjV/a3JRLpfL6dmzZ22zoWcFARpDiTogd5rUltpukwzNXgapSveqRvcK0b1aOZyxdpJ3NdodqqXrYH3rVVPv7i36tnU4qEIDQLxlMhkVCgXPhYCmaaper3t+nNP7nPTQTYCOwI/fea2lO91TB0bBb/OLXkYdcqMURWCWpi80+wkbpv2q0UFCdNcGK8tdp2lN6JC6Q/XSZ03PEC21t3VcrXzYd7Y0AGBy8vm8LMvy3RI8lUq1WjU6OcE6yRM4JAJ04iQpDPcTVVhunW9GQrOfoC0eftXowCFat7sWFC5+GZwveoTqi4/mukK05L/IUKKNAwDi5uDgQLlcris81+t11et1pdNpZTIZ30WFp6envsE7Seb7HwIM7mt3Xvq+DX3uDz5texvU/Vt/kvjw7Bb08/H6mnXeF/cPbO4FrYvL7aPrLpfb39wulm+CtVOVdvdJ+03x6NxwBQAwerZtq1qtej5XLpeVSqU8A3CtVmu1ZWxtbanRaHi2cZTLZeXz+WgvegKoQGMgUVePA71mhHOaow7M9xeHv7ZPLvtvyx1GkIq0V0tHv4WFTivH1XL35BlnQkdniF58fR2i3S0eTiVakmdfNIsJASB6tm33nMGcy+VUrVZVKBTaZjvXajUVCgXlcjkVizeTPpxWjcPDQ52cnEi6nvX89OlTWZalUqnUOrZcLss0TWWz2Yg/q/EjQEfgX/rQ1gd3ujeOwOCi3tRkFBXmKEJzkPMNG6z7BWmvlo7OXQudEO3XyrHwekGSM6HjhjtQOyFammstMPQL0Q4WEwLA8A4ODvT8+fNWm0W9Xlcmk5FhGNre3m4LtJlMRsfHx11bdz969KhndbpzUWA2m5VhGLIsS+vr662g3WtHwySZazabzf6Hwcv5+blWVlb0V3/nL+qDjwjQgxrVDoBxrDJHYdhA3asi7bXA0F2NdirRjTd39Pr1bV2+7v4Z3AnTnRZfzbd6pZdet0/pcM+OvnV+2eqDXjj7XHNnr6hAA4jUZfOdfuvzQ52dnenevXtjfW0nO/z5f/xXtbg83EYqnS5fv9V/9t//Dybyec0aKtAYqVFuj91pWgNzJ/d1DRKme1Wk+7V0uCvRkvRarqkcX4bpztaO9ur0TYh2FhVK7ZVoqX0qR3PlruYlQjQAIDYI0CMUJDz22m55EsYZeIeVhLaMURsmTN+/9Se+IVryb+noDNGSWjsVunUG6laQ/rI/eum1d4h2t3Iw0g4AEEcE6Aj86Q8auv3BYF/KJAXWSRrVlIykBeZeBgnT/arRUneQ7gzRTk+0w5kV7Q7Ul68XW0F68dV83xAtdW/5zWJCAEBcEKARG+MYJTdNgbmXsGE6TFuHV4iW1Nqx0C9MBw3RUveCQhYTAgDiJNEBulgs6vT0VLVaTY1GQ+l02ndwdy/ValWVSqVtleje3l7EVzub4jBfeVZCs58wYdovSHdWo90hWlJXS4dnmNbtQCG6swotMdIOABAviQ3QlmUpn8+3ZhTatq1cLqfV1VW9ePFChmEEOk+5XNbh4WHbnMJqtapMJhN41MpPLH2qO7e8Jw9EKchWzXEIrJM2jsD8Z8bwJ+f3L/sfE5bztQkSpPu1dXT2RTv8wrTkXYmWbmZEt7VzUIUGAMRUIsfYOYO4O/dRt21bq6urSqfTgcKvbdt68OCBZ+De2NhoC+henFE0/4cf/JTu3B19gEa7cVWWxxGWg4o6VAdp7wgz9s498k5S2wYszug76bon2llU6Dfe7tarJiPtAIwEY+wwrERu5f38+fOu8Cxd73yzu7urarXaasXo5ejoSKZpelart7e3VSgUIrhaRO3+4qdjqzLHKTxL0V9TkK9jmN9q9Nuh0mnpWFy+bBt359650NnuW7quQjttHFcrH16PtFs1Al8PAACjkMgAXSwWlclkPJ/b2NiQJB0fH/c9T6lU0tramudzpmmqVqsFCuIYj3EFZyl+wblTXEJ0vyky7tYOp63D3Rd9tXzVtnvhxZdB+uKjOb27ex2k3SFaEiEaADBxiQzQndtLujmB1y8Yux0fH3dtPelwHq/X6+EvEJEaZ3CW4h+eHeMO0X46Q3RnFdorREsdY+7uvm9Vob1CtHS9oPBq5cOBrxMAgKgkMkBXKhXfHufT01NJ8mzx6GTbdt/FhgToyXBC87gnaCQlPDvGeb2jaOWQ5NnKceFq6Xh3d07v7l1/ok6IpgoNAJikRAboXorFYs+Ff0E5wbrRaPQ99s1nV3rz6ubt4u37vh+DbpMKzY6khWdHVNc97lYOqbsK7XaxfNMP7Q7RkqhEAwjlffNKl813rreL/h8E9JDQyODNsiyZpjnQLOhhfPtf/y/a3t/+976iv/TXvjrWa0iiOM1nTmp4djjXP+yUjvuLn4beEtzht+GKw9l4xbG8/EVrKsfV8lXbVt/OVA6pe7SdJC2dX1xXoSWmcgDoq37xe6pf/u6kL6PNy8/vaGEu2ikcV58zEWxcEh4bbtRqNRWLRZ2cnASeAd1LmF7q//B3vq47H9180y7dmutx9OyJU1DulPTg3OnPLI5mfrSb34xoL50h2uHeAtzZYEW6rkI7G6wsvm6fDy1dj7ZzV6IXmQsNIABz6ad0f+nrrfcvmxf67S++P8ErQtJNTXzI5XJ69uyZ76LAUbrz0cLMz4GOc0j2M23h2TFsiA5She610UrnbGg3dxXaCdHSlxusSFp4vRAoRDuaK3clKtAA+pifW9C8ZvvfaURrKiJEJpNRoVAItHDQzTRN30WCTu/zoIE8ikA56K/Sh5XEMBzWtIZnxzhCtJ8oWjn8QrSkLydzXN/AhbPP2d4bADB2iY8R+XxelmUpnU6H/thUKuU759kJ1kFC+U8sNvTRYvTrMXsF2c5wMwuhNyrTHp4dow7RvVo5+lWiHV1V6C+3+fYL0dJ1P/S7u3O6dX69mHBBogoNABirRE/hODg4UC6X6wrP9Xpd1Wq178dnMhnfCvTp6elAoXxc3BMrCM/BxHFnwVEb9nPu970VdLRdr9nQUvtYO+lmtJ0zmcM93q41mcO1wQoj7QAA45TYAF0ul5VKpTxDbq1Wa2u9sG3bM1BvbW2p0Wh4huhyuax8Ph/tRWNiZi04d5pEiA66wYp7h0L3WLt+IdrZZMWZCw0AwLgkMlbUajUVCgXlcjkVi8XW4047xuHhoU5OTlqP53I5VatVFQqFthnRhmHo6dOnsixLpVKp9Xi5XJZpmspms6P/ZDBysx6eHaOc0BF0UaFfP7RXK4fk3xPtcCZy0AsNABinREaLR48e+VaVpe6Ff5lMRsfHx55bgGezWRmGIcuytL6+3grhfjsdIjkIzt0GDdHDTObo5DfaTrpZUOhUov16oq99OZXjy15oRtoBAMZlrtlsNvsfBi/n5+daWVnR7/zen9JHdxPbDTOVCM+9DVqJ7hei/QK014JCd4h2pnI4VWhnKoekVjXa2Whl8dX1n7UP/0ha+qypW6+aWv6Dz7Vw9rnmzl5RhQbQ12XznX7r80OdnZ3p3r17Y31tJzv8q/9gTwt3It5I5c1b/ef/zsFEPq9ZQ+rDVJnFhYKDGPRrFFU/tNTeE91rUaFTje7siXYvKLy4t8T23gCAsSFAI/Gc0ExwDiduIVq6XlDoXlToBGmvEO20cry7O9fqhW6u3GUiBwBg5AjQSCxC8/DiFKLdVWgnREvyDdESVWgAwGQQoJEoVJujN6qv5ahC9OLypa6Wr3pWoQEAGCUCNGKP0Dx6g3xtg2zgE0WI9mvpcCrRnVVoiY1VAACjRSRBbBCQJ8v5+oeZ0DHMeDsnRHtN6HBCtDOdwz0n2hl1JzkLCue19FpfbqyyqCW29wYAjBiRZYQGDYSj2uxi0gjIyRB2VvSwM6Ldm604VWhnxJ2z0Yp009LReHPnOkTrtppfjra7WJakOd161dTFvSU2VgEAjBSRJkJRBUSv88Q5VBOMp88kQ7TUvtlKr2r0zYLCmyq0s7EKVWgAwKjQA50QcQ2pcb0ujN8wPdFeOkfcdVpe/qI1mUO66YV+d2+RXmgAwEgRfzAwwjOi1FmF7tTZzhG0Ch20SkC7BwAgKCrQEZm1MDlrny+CGWcVeu3Om1YVunMih7sK3Vy523oDACAKBOgEiUtojct1YPp4jbdz69zyW7qZEd05F1pS18Yq7jDd+Ua7BwAgKKIQQiE8Iwq9FhR2ci8o7OS0ciwuX+pS0uKr+dZEDmdjFS8LZ5+Hv2gAiNCb1x9ovnk70nO+f9P/GESDCnQEvjbGUDnuAOvexITwjCCCtHH0EnUV+uLeUqudw3G18mHXG1VoAEBQRCK0ISRjXMZZhb51ftkVopfOL4a4egDALKMCDSrM8DTM90PcqtDv7i223hxOZdoJ1lShAQBBEaATKMoNWwjNmKReEzk6Q3TnRA53iHZ2KfScyHF3rhWkJXUFaUld1WkAAHohQM8ggjOSql+I9qpCX3z0ZRXaJ0g7Yfri3hJVaABAIATohBokABOcMU5B2zjCVKGD6KxCS9chujNId4ZpAACC4l+NGUBoRpJ17lDYuaCwc4dCSXqt27q8274P4dLrm2r00mdNSTc90rdeNdtCtPOR7E4IAPBCBXpKsTAQcRBFFToIr0WFV8tX7a0cy94VaUlt1WgAAPohXiUY4Rizol8VWrqpRLur0M3XC5LUCtGLr29CdGdF+jpEU4UGAPRHBRpALIStQncuKJS6K9GtKvTd95JugrR0E6QltVWjAQDohwANwFcUv+UYdia0w2tBoVeIlm4mcrgXFLpDtF9bx7u715uvMJEDANALARpAbPSrQgcJ0U4VunM2dNBqNAAA/RCgAYxcmCr0IAsK/UK0Mxd6cflSkvpXo6lCAwACYBkagETpXFDop7Mf+rVuS5IuO45bfDWvy+XrBYYAMO2q1aoqlYrW19dl27YkaW9vb6DzlEolGYYh27ZlGIb29/d9j6/X67IsS5K0trbW9/i4I0ADGIv7i5/qk8v+wVe6rkJ/8u7HfJ/3CtFekzmk61aOxps7Wl7+Qq9f39bi8qUuXy/qavlKC68XdHn3fStEX3MWFDKRA8B0KZfLOjw8VKlUaj1WrVaVyWRUqVQCn+fg4ECVSqXtYw4ODpTL5drO7X7dJ0+eqFQqyTRNSZJt27IsK7EhmhYOALEUVSvHV+58prU7b1oLC53FhV4LDAFgWtm2rZ2dHT19+rTt8XQ6rUajoWKxGOg8tVpNlmWpUCi0Pb63t6dqtapyudx1/M7Ojp49e9YKz5K0s7PTdWySEKABJJLfNt9+kzn8uEP05TK90ACm09HRkUzTlGEYXc9tb293BWI/T548USqVagvDjq2tra7zWJalx48fd71uJpNRPp8PfP1xQwsHAF+/39kwnFDuTVa82jm83MyGvn5+4ezzMV0tAESvVCppbW3N8znTNFWr1Vq9zL1Uq1Wl02nP5zY2Ntoq2bVardUr3Wl3dzf4xccQFeiE+v3Lwd6AaTLKKnTXMVShASTY8fGxZ9VYUuvxer3e9zzOwkMvTkCv1WqSpEKh4Fv1Tjoq0BH40aX0Xx/Taw0bgsN8PFuFz7Y4/MDVbzFhGEGr0Nf90E5twXtBoVhMCCBhglSX6/W6UqlUz2OChGHnPNVqtRXODw4OWh9/enrq2daRJESkiDhhYxShc1JBJuzrErinRxzCc1BBx9r140zlCGJ+1WAiB4CJa15cqnlx8xf2+8/fDnQeJ8g2Go2+x25ubvpWoTsr2E6QPjg4aBuVV6/XtbGxoZOTk8SGaCJPxKIM0kkKMVKw6yVkx1/Svu/8eI2161eFdo+2owoNYJQu3yxqvjncP4r2P/4/6/yfVCO6omAsy1Imk/F87vnz55Lag3itVusaVWeaptLptHZ2djz7o5OAODMi/YL0tISUsHp93oTryUry92RUVegwqEIDmLSV/+4v6t6/9d9uvf/+8y/0z/eehD6PU1H2W2Tolk6ntbu72zXDuVwuK5PJqFwud53Hq/d6Y2ND+Xw+UGtJHBFZRizJoWTc/L5WBOvRG8f3adBNVDoN0wdNFRrANJtbWtTc0vj/kSwUCioWi20TN9LpdGvxoDsQ91u4eHx87DvVI86IJoi9znBHoI7WtPyQF0UVOmiIXjq/kEQVGkBymKbpO2XDabnwC7tevMbQVavX7SSbm5ut8wVZuJhEjLFD4jCeLzqz8LXzGmn3lTufSbre5luSlpe/6DrGGW3nhc1VACRNKpXqu/iv3wSOfk5OTpRKpVqhOZVK9Q3ITthOGgI0pgKBOpxp/TpFMRd6cbn9C+O3QyEAJEkmk/ENs6enp5G0URwdHbXtLri9vd1q6+jkXEuYqnecEKAxlQjT/pL4Nbl/608iP2evKrQToqlCA5gWW1tbajQaniG6XC53batt23arJaPz2NXVVc/H19bW2lo7stmsDMNQuVzuOr5UKml3dzeRCwglAjRmAEH6xix/HYJUof1aOfyq0Bf3lkZxqQAQOcMw9PTpU1mW1fZ4uVyWaZrKZrNtj+dyOWUymbaFgtJ1v3Rn20WtVpNlWapUKl2vWyqVZFlWW/tIsVhUvV7vGm+XJPweEjPDHR5nZSHiLAbmMIsJOydySAq0Q+HSZzfnuFr5UAtfPsOCQgBx5lSELcvS+vp6K9R6Bd9MJqPj4+OusLy7uyvbtluhuNFoyDRN301R0um0CoWCdnZ2tLa21jr+9PR0FJ/i2Mw1m83mpC8iqc7Pz7WysqLf+b0/pY/uUsyfBtMQrOMamgcdY9f6+BCj7HoF6M6xdn/45qPW/zsh+vXr263HnBC98HpBi6/mtfhaWnotLX3W1K1XTd06v9TtH51r7uwVARpIiMvmO/3W54c6OzvTvXv3xvraTnb40/+bv6P5D2/3/4AQ3n/+hf7gf/K3JvJ5zZopiAtAdLzCZ9xDdVwDc9TCzIMepArt5lShpfbRdtduxtrdenVdf6AKDQDj88knn2htbW2iPyTEPBoAkzfJDV5mJRyPk9fmKg6vVo5e3t2dk/uv0cWzV5FdJwDMul/+5V/W8fFxq9XENE2Zpqn19XWl02n97M/+7MSujQANDIhwG9yw7RuDGLQK3asf2qsKLUm3zq/fa67cpQoNABE5PLxus/nud7+r73znO5O+nDY07gKYOb02V5FuRtu59Rpt50zkuFr5MMKrBADs7e3FLjxLBGgACTKKedD9eI228xpr52AuNABEZ3t7e9KX4IkADWCkomzfCDOJQ/LfmVAavgp9PdbuBlVoAIjW3NzcRPuceyFAAxiZSfQ+j4JXFVoSVWgAGKFRTVr+yZ/8yaHPQYAGMBJJDc9UoQEgHtbW1kZy3iiCOQEaQKQ+ufx4JOE5bPtGEEG293ZQhQaA8Zqbm+t/0ABevgz+d78fxtgBiExSq86d/MbaObzG2i29vv6/d/du/lplcxUAGNynn36qf/SP/pEePHjguU14WLZtq1KptOZKD4MADSAS0xKee+m1ucrFstQ5FxoAMJxsNjvpS/BEgAYwtFGH51G0bzh67UzYC1VoABi9USwkjKI1hAANYGBJqDqH2ZHQrd/uhF7cVWhpUUvnFwNcMYBZsPBmQfPvFyI959wX0Z4vDur1uu7fvx/Z+arVqr75zW8OfR4CNIDQkhCcx6FXFVqSLu4tSaIKDQCDWFtbizQ8S1I6ndbKysrQ52EKB4DARjVho+drjrB9w+E3jcNvpJ3fRA6pfSIHY+0AYHCjmsIRxXi8kQboH/zgB/rBD36g8/PRrKixbVv5fF6WZQ308blcTvl8XrVarXW+arWqXC7XegyYdU5opursrXMu9OWy93GMtQOAcBqNxkjOm0qlhj5H5C0cn3zyifL5vKrVatvjpmnqr/yVv6K//tf/+tCvYVmW6vW6Hj58qGq1qnQ6PdB5bNtWuVxWsVhsPWYYhkqlUiRf3FGJKsjcX/Tf5hiIQ2AeR/W5nyh6oR0LkkQbBwAE0mw2dX5+rnv37kV63qOjo6HPEWmAPjs7UyqVkm3bMgyjbc7e6emp9vb2VCgUVCqV9DM/8zMDv87+/n7r/w8PDwc+TyqVkmVZrWqzaZoDjUv5Z5drunOZvMb9OASkToT6yYnj98M4DTqNQ/Luhb42p1uv2leQz68a9EIDQEAvXrwYKjOOSqQBemdnR1tbW9rf3281aJ+dnalarapSqejo6Eg//OEPlUqlVCwW9Zf/8l+O8uUHkk6nB65gI3pU18dj1sLyoJM4vAStQjuudydkrB0ADOLJkyf6B//gH0z6MrpEGqBt2+4qi6+srOhb3/qWvvWtb+l73/ueqtWqLMvS7u6u1tbW9Bf/4l+M8hIASdEExCSH8GkIyJNo3/CrQrvbOPz0qkJ/eQRj7QAgpFKppLW1NX33u9+NvJVjGJEG6NXV/r/+TKfTOjk5kWVZ+va3v61Hjx7F6gsCOKYhhGI0+lWhr5avtPiqe402Y+0AILjHjx/r9PRUP/zhD/WNb3xDH3/8sQzD0NramnK5nL7xjW9M7NoiDdAvX74M3Oy9v78v27ZVLBb1N/7G34jyMkKp1+ttCx5PT0/1+PHjSPZcBzA9wlShJeny7nt5VaFbx569iv4iAWCKfOc73xnJeRcWFnR1ddX/wB4iDdC5XE6WZenXf/3XAx1fKBT08OHDiQXoer2uWq2m3d3d1mO1Wk0bGxs6OTkJHKLffNZ+E5ZuzWnpA0ZsA4Oa5PSNoIsJg1Shr13/XbD0WdvT12PtRBUaGIf3zSu9182/1ZdN2qlmWRTbg0e+iHBzc1O/8iu/ol/91V8N9DEPHjyI8hJCKZVKXY+lUimlUint7Ox4Pu/l2//6f9H2/va/9xX9pb/21UiuEUCyuKvQbhcfMdYOmJT6xe+pfvm7k74MxEQUG7REPgf66OhIm5ubqlar2t/f1y/+4i/2PN496i4uMpmM8vl84OP/w9/5uu58dDPGbunWaHbOAaZdHOY+99LZxhG2Cu21oJCxdsDomUs/pftLX2+9f9m80G9/8f0JXhGSLvI+A9M0dXx8rE8//VTpdFp/9s/+Wf3Kr/yKfvCDH3Qd+/TpU+VyuagvYWjOFo9BdyO889GC7ty9eaN9Awjnk3c/NtLwHNUIu6Cc3Qkld4hu52zxzQ6FwOjNzy1oce6W621p0peEhBtJ0jNNU7VaTb/0S7+kH/7wh9rf39fGxoYWFhb0F/7CX9Df/bt/V9/85jd1dnamnZ2dUVxCX722AHd6n0e1hSSAa6MOzuOwdudN6/+Xl7/wPMbZ4vti+bqV493dOb27t9iaygEASJbIWzgcKysrKpVKOjs706/+6q/qH/7Df6h6va7f/M3fVKVSkSQdHx/r+Pi4tZnJ/fv3R3U5XY6Ojnw3UKnX65Kkzc3NsV0PMEuSHpqDcPdC99qh8GrlQ8baAUDCjLzXYGVlRfv7+/rhD3+o09NTFQoFfetb39LKyopevnypo6Mj5fN5ra+v6yd/8if1y7/8y/r+97+v8/PzkV7X7u6u7yLBSqUi0zQZZQdEbBIV56jbN75y57Oux/yq0O5Wjk7uKrTTygEASIaxNus+ePBAOzs7Ojo6UqPR0Onpqfb39/Xo0SM1m81WwM7lclpbW9Pf+3t/b+jXtG27bc6z4+HDh549zrZtq1wua39/f+jXBnBtGlo1hnW1fOXbyuGgFxoAkmGiq90ePHig73znO/rN3/xNvX//XicnJ9rb29PP/uzP6v379/rhD3/Y9xy2bffsVc7lcspkMioWi22PZ7NZFQqFrhD96NEj7e7uKpvNDvZJAWgF5kkH51EtHhy0Cu0O0W4sKASA8YndHOhh/dzP/Zx+7ud+Tt/97nd7HndwcKDnz5+rXq+33jKZjAzD0Pb2dlv4zWQyOj4+9uxnLhQKOjg40OHhYSuIP378mPAMDCBuFeZxT97oxWs29MWyxA6FADB+79+/H/ocsQrQQe3t7YU6ttfxYc4F4EbcArPbpMJzv7nQUu8FhRI7FAJAEiQyQAMYvzgHZrdxhefOTVX66ZzKsfjqpoPu3d05sUMhACQHAToC/+ziY91+Nxtfyvu3/mTSl4AxSEpYjqNeVWh3iL68+15eOxRK0sLZ5+xQCEy5hVfzWriIdina1Rds5NbP2dmZ0um0nj9/PtR5ZiP1ITKTClYE99GZprAcp75nh1+I7mzlWHKtS2Q2NACMxvHxsWzbHvo8BGgkQtQhb1YD+TSF5U6TCM9+bRzuKrTk3w/tdvERCwoBIKyHDx+GOr5Wq0WyzwcBGjMpiiAZ1xA+zSHZTxwrz50h2s2vCu1u5Vg6v2BBIQD0cXp6GriibBiGVlZWInldAjQwoFkMqnE0ivD8tTsv9aM3q4GODbqYMGwrx8W9JUksKASAXkzT1MOHD/Xrv/7rvsecnZ2pUqmoWq3qb/7Nv6n79+8P/bp0mwNIrDhWnt3cm6tI7Rus+HHvUOiEaDZXAQBva2tryuVyPY9ZWVlRNpvV9773PRUKBZ2fnw/9ugRoAInzo7cfjzQ8B60+D8vZpdBrm28HOxQCgL9CoaBvfOMbgY9/8uSJnjx5MvTr0sIBIDHiXnEOIsiCQql9NvTC2ecjvioASKYHDx6E/pip28obADqNOzRHXX3utZhQ6r2g0NmhkLF2ABCds7Ozoc9BgAYQS9NQbR7E5d33Wnx9HaK9digkRAPAcOr1+tDnIEADiI1Jh+Zx9T77tXFcLV9p4fWCLpedR657oW8Nv94FAKZSmAWB9XpdT548kWmaQ78uARrAxEw6MI9L0DYOh7PN99Lr6/ff3aMKDQBeDMPQ3Nxc/wNdx7948WLo1yVAAxiruIbmcVWfHf2q0NL1RA735ioOQjQAXDNNU/V6Xdlstudxa2tr2tjY0NbWlu7duzf06xKgAYxUXAOz27jDsxe/KrR0s7kKAKCdYRgqFov69re/PdbXJUADiFwSQrNjkuE56Ei7m7nQVKEBDKdarapSqWh9fb21Bfbe3l7gj6/Vanry5In29/cD9xIXi0Wdnp6qVqup0WgonU5rf39/kMvvsrm5GUlPc1gEaABDS1JgdhtneO7XB+3WWkzYUYX2msrBNt8AgiqXyzo8PFSpVGo9Vq1WlclkVKlUAp2jXq+rXC6rXC73PO709FSmacqyLOXzee3u7kqSbNtWLpfT6uqqXrx4IcMwBv58JOl73/veUB8/KAI0gIEkNTQ74tC2IbVXoTvbONwuPprT0mfdw//nVw2q0AD6sm1bOzs7XQvo0um0LMtSsVhshdxenj9/rt3dXa2vr3s+/+mnn0q67k0ul8va3t5uqxAbhqFSqaTV1VXlcrnAwT1uCNAAAkt6aHbEJTz34lWFZkEhgEEdHR3JNE3Piu/29rYKhUKgAC1db5/tx7KsVnvG8+fPPRf3GYah3d1dFYtF2bY9dBV6Eub7HwJglv3o7cett2kwyfC8dudN32MWly+7HrsO0ddTOS4+mtO7u3N6d29RF/eWdLXyoZordyO/VgDTpVQqaW1tzfM50zRVq9VaPdG9PHz40Pe5YrGofD7f9n4mk/E8dmNjQ5J0fHzc9zXjiAp0BP7g7Zo+WFqa9GXEwtc++HTSl4AhTUtQ7hTnqnOQkXaXy9Lia/9z0MoBoJfj42NtbW15Pue0WNTrdaVSqZ7n8RsX5+zu527X2Nzc9D2PE9b9Qn3cEaARqWHDFwF8MqY1NDviHJ6DopUDwDCCtEoECdB+9vf3u1o7evU3n56eStLArzdpBGjEStggR+Ae3LSHZseow/Mfvvko8nO6FxO6q9Bu7tF2S+cXkV8DgPh7f3mp5uVN29f7t18MdB4nWDcajYE+vrN1I+jHBO25jiMCNBItihA4SyF8FkJzUqvNQWZCt421c7VzXNy7biGjCg0kx+IbaeFquHP88f+1qj/5nd+M5oKGUCqVQoVhy7JkmmZks6AngQCNmRcmVCYxbE97aJ5kYB5F9Tkov22+F89e0Q8NzIiP/5tprf38v9l6/+rtFzr9tf9F6PMM049cLBZDtWHUajUVi0WdnJwkcvqGgwANhBAkjE46ZE97YJaSW2UOo1cbR68Fhc2Vu5o7ezWOSwQwYfOLi9LiZKNcoVAIVUnO5XJ69uzZRHYPjBIBGojYqPu4ZyEge4lbaJ5U9fny7nstvprX5bLzCAsKAfRnmmZrUkYnp/c5bKit1+uq1WqBPy6TyahQKCR24aAbARqYsFkNxEHELTQ7xhWegywm9NNcuUuIBtCSSqV85zw7wTpssK1Wq5KCBe98Pi/LspROp0O9RlyxkQqAWPnRm9XW26xZXg62gt7ZWOVy2X9zFQBwy2QyvhXo09PTgYLtyclJoOMODg6Uy+W6XqNer7dCeNIQoAHEQlJC8yQXDvpxQnTrfdcOhfOrxuQuDEBsbG1tqdFoeIbocrncNYbOtu2+4bZer/ddCFgul5VKpTwDepj2j7ihhQPAxCQhMLtNIjz7tXG4e6GdBYXv7s5JWtSt8+u5sFcrH9IPDUDS9aznp0+fyrIslUql1uPlclmmaXbtMJjL5VStVlUoFHxH1PlVtB21Wk2FQkG5XE7FYrH1uNNKcnh4GLiKHTcEaABjR3COntdYO/cGK4y2A5DNZmUYhizL0vr6eivIeu0YmMlkdHx83HM77l591ZL06NGjnpXspFafJQI0gDFJWmh2xCE891tM6DXW7t299qkcjLYDIEnpdDpQv/Pe3p729vZ6HuOuZHt5+fJlqGtLEgI0gJEiOIcTZEdCh9PG4XBXoW+9al4/xi6FABA5AjSAkSA4j5e7Cn2zoPCmH1pitB0ARIUADSBSSQ3OUrzDc7/FhI6LZWmpY1GhY+Hs87FdLwBMMwI0gEgQnCfPqUI7rRxLnzVbz9HKAQDRIUADGEoSg/OkAnPjzZ3IztWrCu3WOdrOwVQOABgcARrAQJIWnCddZY4iPLvbOPz4VaGZygEA0SFAAwglScF50qE5DpwFhc5UDjeq0AAwGAI0gECSEpzjGJqjbN1wC9rG4fCqQhOiASA8AjSAngjOwxlVeO7F3cax9Nq/Ct1cuUsrBwAMgAANwBPBeXjjCM9hqtBeY+2YDQ0A4RGgI/BffW5oaf7WpC8jdr52Z3q38JxmSQjOcQ7NjlGF5yALCSXvKrR7rJ0kXa182JoNTSsHAARHgMbIBA1iBO14SEJwlmYjPIfZzrtTmCr00vnFdYgW/dAAEAYBGhPnF9wI1uNBcI7OJPqdpfY2Di9+VeiLe0taOr+QdNMPTYgGxmPptbRw2f+4MObfRns++CNAI7Z6BTvC9fAIztGZVHDux2nj6OTeXKW1Q+GX/dAsKgSA/gjQSKRRhr9pDudJCc0SwbkXrz7ooIsJ3VXod/dudih0+qFZVAgA/RGggQ5BQmbSQjbBOVpxrTh76VxM6Hh3d063XjVbs6Fb/dAsKgSAvgjQwACS0LedpNAsxT84Jyk0S8Gq0E6Ilrz7oQEA3gjQQIQmHayTFpodcQ3PkwrNg07g8FtM6FeFdni1ckhUoQHADwEaGAOvYBtFqE5qYHYQnCfHay60G1VoAPBHgAYmJOnhd1hxC89xCc2DVp+9eLVx+PVCS+1tHAAAfwRoAGNFcPYXZXju5DfSzgttHADQm/92VQAQMcJzPFwsf/nfj+ZajznTOAAA/RGgAYzcH775KFbhufHmTuzCc1TV56vlq7b3L+++v/n/Ze+Pud5Y5ZqzsYp03QctXVehAQA3CNAARorg3N8oWzf8XPiEaT+EaAC4QYAGMBJxqjrHNThPQmcV2q+N42rlw3FdEgAkDgEaQOQIzsG8fn17LNVndxuHH782Djeq0ABwLdGrRmzblmVZMgxD+/v7A52jWq2qUqlofX1dtm1Lkvb29iK8SmC2xCk8x9Ek2jU69dtYxa1zHjRTOQAgoQHasizV63U9fPhQ1WpV6XR6oPOUy2UdHh6qVCq1HqtWq8pkMqpUKlFdLjATCM69jTM4++1I6Me9qYrfroRuhGgAsy6RLRz7+/sqlUra29uTYRgDncO2be3s7Ojp06dtj6fTaTUaDRWLxQiuFJgNhGdvTotGLKrOHW0cXhM53G0cbs40DjfaOQDMskQG6CgcHR3JNE3PAL69va1CoTD+iwISJi4LBePW6xyX0ByE30zozj5orxANALNqZgN0qVTS2tqa53OmaapWq7V6ogF0i0NwluJVdU5ScPbTWYVmGgcAdJvZAH18fCzTND2fcx6v1+vjvCQgEag6t5tEm8bl68GWr/i1cQxahaaNA8CsmtkAbdt23/5pAjTQLg7BWYpH1Xkaqs1+OkfaUYUGgHYzG6B7cYJ1o9EIdPzF63dtb1fvrvp/EJAwhOdrkw7OQavPnVt6B9VvYxV6oZFE75tXumy+c71dTPqSkHCJHGMXN//Jv/2/b3v/X/13N/RT396c0NUA0YpLcJYmG56npdp8efe9Fl911046Z0K/uzunW6+uR9td3FvS0jmBA8lVv/g91S9/d9KX0WbpdVMLF81Izzn/LtrzwR8B2oOzeNBvkWGn/95//D/U0vKt1vvzS8HnrwJxFpfwHIeqcxwM2vvc85xfbqri1m8udOfmKkDcmUs/pftLX2+9f9m80G9/8f0JXhGSjgAdgaXlW20BGpgGhOf4BOdxGaQKzaYqSIL5uQXNi+IWojOzAdo0Td9Fgk7vs9+Ujk5/9GZZi3MfRHZtSfeVO59N+hIwhLgEZ2ly4TmOwTnK6rNfG4ebVxXamcpBFRrArJvZAJ1KpXznPDvBOpVKjfGKpodfACNYxx/hOX7heRRtG2E4VeggW3wDwKyY2SkcmUzGtwJ9enqqdDo95iuafs784M43TF7c7sUkwvOkp2t0uny9OLbw7N7W+8L9/19O5Ogca+dgIgeAWTX1Adq2bVWr1a7Ht7a21Gg0PEN0uVxWPp8fx+VB3cEa4xWnr/mkNkeJS3B2QnNUwbnXKLvOTVWC8BprJ7GhCoDZk/gAbdt2z3nNuVxOmUxGxWKx7XHDMPT06VNZltX2eLlclmmaymazI7le9EegHo+4fX1nuWVjVNXmhdeDLZpyV6E9n6cKDWDGJbIH+uDgQM+fP1e9Xm+9ZTIZGYah7e3ttvCbyWR0fHyszc3uuczZbFaGYciyLK2vr7d6oiuVyrg+FQTgFfKG6afuFxpnoVc7TsFZmt3wPOn+ZjevcXbSzWJC90QOAJh1c81mk78RB3R+fq6VlRX9+X/8V7W4zBSOOHDC76gCYtLDddyCszSb4XlcwblfBbpzEoc7QLvH2TnTOJwAfev8sjXSbuHs89Y0DsbZISkum+/0W58f6uzsTPfu3RvrazvZ4Wf/R/9LLdyK9u+hq3df6Af/0f90Ip/XrIlP+QOIwKgDovv8SQrTcQzO0uQWC07KOCvOg7ZvODpnQnc975oLzUg7ALOGAA0MqDOUxjFQxzU4S7MVnuPUqtHLIG0c7pF2bKoCYFYkfhEhEBdxW/gYl+vwMivheZyj6AbRbxKH32JC9zSOTkzkADAL4vs3O5Bgk2z1iHNwlmYjPE86NA/bvhGUXxsHlWgA044ADYyYE2hHHaTjHpyl6Q/Pkw7OUehs43B6od1be3fy2pmQEA3EU7VaVaVSaZs+tre3N/R5Dw4OlEqlPDeiK5fLXRPO9vf3ZRjG0K87Kcn/2x5IiFH0TCchNDsIz9PBa2tvR+diQkI0EC/lclmHh4cqlUqtx6rVqjKZzFAjfG3blmVZbed1WJalTCajQqHQeqxer+vRo0d69uxZYkM0PdDAhAyyYUxSN5mZ5vActz7ncbVvONybqkjdG6vQEw3Eg23b2tnZ0dOnT9seT6fTajQaXRvOheH3sbVarfUabqZp6unTp9rZ2Rn4NSeNAA3ERGc49npLomkPz3Gx8Hph5OH54qM5SddV6E7urb0J0UD8HB0dyTRNz4rv9vZ2W4U4jGq16tm24Tz38OFDz+dSqVQrYCcRARrAyExreI5L1dkJzVEH58uO6Rv9pnF0VqEBxE+pVNLa2prnc6ZpqlartXqiw6jVakqlUr7P+wXzer0u0zRDv15cEKABjMS4w/Pr17fHFp4nbRzV5n7CVqEBTNbx8bFvYHUer9froc5ZLBZ7LkDMZrOqVqvK5XJd4Xx/f1+WZYV6vTghQAOI3CTC8zhMMjyPqtocltPG4eisQrtDNID4sG2774K9MAG6Xq/7VrQdpmlqf39f5XJZDx48ULValXQdvDOZjG/rRxIQoAFEivAcrTiEZsm7jcOpQvttrEIVGhit91eXunr3RdvbIJxg3Wg0An9MuVxWNpvte9ze3p5KpZJs21Ymk9H6+rrS6XSgj42zyf8uEsDUIDxHa9TBefGVfw3Fb1tvyX8mtLOxCnOhgf6WPmtqccl7tnpQP/r/VPUH//ng4+cGFTQ8OwzD0N7enmq1WmtsXqlU6tk7HXcEaACRIDxHJw4V56B6zYUGMFr/0r/ySP+1P/tvtN6/uvhCtf/03w99Hqc/uV9LhnNso9EIvADQsiw9fPhQ+/v7kq7bN/L5vDY2NlSpVBLbxkELB4ChEZ6jEZd2jWF09kLTxgGMzvzCohaXbrfeFpZG/3djsVjU7u5u4GMltVWrd3d3dXp6KtM0PRcXJgUBGsBQCM/RSEJwdvdBuxcTdvZCM9YOiB/TNH0XCTq9z/2qyv1G1nXa399vVZ47r+Xk5ESSWgsLk4YWDgADIzwPL87BuVcfdBBOL3TnFt8Axi+VSvlWe51g3S8c1+t1HR4eds12ds775MkTHR4eam1tTfv7+z2nfhiGocePH4cenRcXBGgAAyE8DyfOwTko92LCIL3QLCQEJieTyXhWgyXp9PQ0UC9yNpv1XDxo27ZWV1f1+PHjtueDtGckdTMVWjgAhEZ4Hs6kw/Piq/meEziiQBsHEC9bW1tqNBqeFd9yuax8Pt/2mG3bQ7dXmKbZ8xwsIgQwMyaxPfc4zEJ4HkdwBhBPhmHo6dOnXbv/lctlmabZVVnO5XLKZDKthYC9OKG8c450qVSSZVldIdq2beXzeVmW1Xdzl7iihQNAYJMIz9OyPfekg3NULpalJVdftN9MaADxk81mZRiGLMvS+vp6q8WiUumeJZ3JZHR8fKzNzU3f89VqNT158qQVoC3LUqVSUSaT0e7urgzD0MnJiSzLUqlUavvYfj3ScTfXbDb5m29A5+fnWllZ0Z//x39Vi8sfTPpygJEiPA9uUuE5iuDstYhwqeMxd4C+9arZ6oFeOr+QJC2cfd5aREgPNOLgsvlOv/X5oc7OznTv3r2xvraTHR7+2/++FiMeO3d58YWe/8f/s4l8XrOGCjSAvgjPg0lycA6DKjSAWUMzHICeCM+DmUR4jkuPszMPGgCm1eT/pgUQWywYHMykwvO4uDdUAYBZRJkAgKdJhedRV5+nLTzHoeIs0cYBYLbE429eALEyreF51MYZnuPSrtHJ2dZbap8F3Vy5O4nLAYCRoAIdgZef39HCHFM41u68mfQlIALTHJ5HWX0eV3geZ2geZhtvZ0dCJ0QvnH0uid0IAUwHAjQi4xW8CNXJMq09zxLhOfRrDRGevVytfKgFSXNnrwjRABIvfr//w1RpvLnTekO8TfIeJbnveRzhedztGoOG54uPrts3nDYOZxqHVyvH/Kox+AUCwIQRoDE2BOn4IjwPZlzheZyirjy7Q/TVyoeSCNEAko8AjbGjKh0v3IfBzHp47jfKzr2Y0I0QDWAaEKAxUQTpyZr01z6p1edZD89hdbZyeIVogjSAJCFAIxbiGqTjeE1RmfTnRnj2N+5+51GG505+IVqiGg0gOZjCgVhxQt24p3f0CpOTuqZRmnR4TqpRh+dpqDq7N1R5d3dOt159+f9fjrWTrkP00vnF9WSOs89bIZoJHZglt15danHxMtJzzl9Gez74I0AjlkYZWgcNj9MSpOMQnpNYfSY8AwAcBGjEmjvsDRNcowyNSQ7ShOd4SsKIuii4q9AOpwoNAEmSvH9pMLOChD8n1I4jKCYtSMchPI9aEvuekxqelwKey93GAQDTggCNqTKJkJiEIB2X8DyO7bqjNg3hOU7tGu4tvpfOLyZ9OQAwEKZwABGJS0jtFNfrilrS+p5nKTz7zYQGgKQiQAMRiltYjdP1jLL6nLS+53GE51GOp+vXvuFs6Q0A04oADUQsLjOt43ANjiSG51FVn8cVnuOs38YqABB3BGhgRCYZYOMUnpMoqeF53JuihEEbB4BpQoAGRmjcQTYu1W+3pFWfkxyexyHo9I1hsCMhgLgjQAMjNq5AG7fgPGqEZ9f5pyg8A0ASEKCBMRh1uI1reB5V9TlJiwYJzzdo4wAwLQjQwJiMKuTOWngelVFUn6clPAMA2hGggTGKekvxuIbnUUpK68Yow/O4FwuOonXDmcQBAEnE32DAmLlD7yC7FyYhNCet+hy1UYfncRlJcO7Y2psdCQEkEQEamKAwYToJwXnUklB9JjwDwPSjhQOICb+WjKS1asxy9XkawvPS68mEZzZTAZAkVKCBmElSWB6nJFSfRyVJkzbCeHdvUbfOL1ttHFcrH2rh7HNJ17Og37+0x3tBABAQFWgAkaH6PILzTml47sWpQrOhCoC4IkADiMQs7zg46nF1oxZ1eF76rNn/oA4X95YkdbdyzK8aBGkAsZPsv/UBYABJCc/TOufZvaGK1zg7r35oQjSAOCFAAxha0qrPSTCLrRtOFVpqD9FUowHEzWz+ywRgZiWh+pzk8DxI+4abey60e1Fhc+Wu5s5eSWKBIabD0vmFFhejXcg8d8lM9XGhAg1gKLO6cJDwHB12JQSQNARoAAMbdXiOun0jquoz4dnnvENWnx1erRwSPdEA4iPxP/ZXq1VVKhWtr6/Ltm1J0t7eXqhz5HI5ra2tKZ/PK5VKybZtHR8fq1Ao6PHjx0qlUiO4cgC4Ma0LBgFgGiU6QJfLZR0eHqpUKrUeq1arymQyqlQqgc9j27bK5bKKxWLrMcMwVCqVCM+AD6rP0ZmGLbqHrT47m6o43L3QABA3iQ3Qtm1rZ2dHL168aHs8nU7LsiwVi0Xt7u4GOlcqlZJlWarVapIk0zSVzWYjv2ZgWtD3HOE5Cc99uRcTAkAcJDZAHx0dyTRNGYbR9dz29rYKhULgAC1dB+90Oh3hFQKIi6Rs2T1KSQ3PndzTOABgUhK7iLBUKmltbc3zOdM0VavVWj3RAKIzjupzHGc/J736nETuxYQAECeJDdDHx8cyTdPzOefxer0+zksCEENxrT7TutGNcXYAkiKxf1vZtu3ZvuFWr9cDLwKs1+uqVqut909PT/X48eO+rwHMEqrPEZ2P8BwafdAA4iR+/1JFwAm9jUYj0PH1el21Wq2tZ7pWq2ljY0MnJyd9Q/TVm7dt788tLWh+aSq/tJhhSVw4GEX1OcnhGcC1980rvddV6/3LJhNeMBxSntQ2Bs+RSqWUSqW0s7Pj+bzbf/nv/q/b3v/xf+cX9JX/wb8R6TUCSL5xh+dpqT4Dw6pf/J7ql7876cvAFJnKAO0sHvRbZBhUJpNRPp/ve9yf+/t/TQt3Pmi9P7cUz55LYFDjqj5H2b4Rt+rztITnKNx65R/AmQeNUTCXfkr3l77eev+yeaHf/uL7E7wiJF1iFxGOgxPAnfnQfhbufND2RvsGgGlF9RlJND+3oMW5W643JrxgOIlNeqZp+k7ZcHqf/aZ0uOXzeRmGof39/a7nwvZSA9OI6vPwqD4DiItqtapKpaL19fXWb+z39vZCn6dYLOr09FS1Wk2NRkPpdNozS3k5ODhQKpVK9P4biQ3QqVTKd86zE6yDTOA4OjryvYHOeTY3Nwe7SAAzb5oWDUZRfe7VvhHW/Kqh9y/tyM4HTLtyuazDw8O2tV3ValWZTEaVSiXweSzLUj6fbw1fsG1buVxOq6urevHiRc/hC7Zty7KsvuvL4i6xLRyZTMa3An16ehr4p5rd3V3fm1ipVHx3OwRmAZM3hjzPBMLzLFSfmyt3J30JQOLYtq2dnR09ffq07fF0Oq1Go6FisRjoPOVyWdvb222/5TcMQ6VSqRWkewn6OnGX2AC9tbWlRqPhGaLL5XLX4j/bttvmPDsePnzo2eNs27bK5XLgX0cAmA6EZ59zx6z6DCCco6Mj36Lg9va2CoVCoPM8f/7c8zf8hmFod3dX1WrVt0OgWq0mum3DLbEB2jAMPX36VJZltT1eLpdlmqay2Wzb47lcTplMpusnn2w2q0Kh0BWiHz16pN3d3a7zALNinNXnqPqf47rrIKJxtfLhpC8BSKxSqeQ7ncw0TdVqNd/g61YsFpXJZDyf29jYkHS9W7SXWq0WeIO7uEtsD7R0HX4Nw5BlWW3N8F59PJlMRsfHx579zIVCQQcHBzo8PJRt22o0Gnr8+DHhGTMria0bUaD67HPuCVefvUbZNVfuau7sFX3QQEDHx8fa2tryfM5pxwiyg3OvdWG9xggXi8WBFivGVaIDtHTduxPk1wF7e3s9b9w03VQAkzNNiwbjyL2ltztESyJIAz3Ytt13TVeQAN1rseHp6amk7iEO9Xp96L054iaxLRwARmPc1ee4tG9EvWX3OE1z9dmLu5XDvaDQCdLArHj//lKXl1/cvF29Heg8UY3tLRaLrckcbuVyeep+q5/4CnQcvHn9geabs/krbz/Ly19M+hKAsaP6PDq9diR0KtGSqEYjMRbOv9DCwnA/XL74o9/W6Z/8TkRXNBzLsmSaZtfwhWkMzxIBGiPiVDEJ0slC73PyxH1s3agmb7hbOaT2EC0xIxqzwfyx/5buf/zfaL1/efVW/5cf/gehz9OrdzmIWq2mYrGok5OTtjYRZ11ZkI3tkia5/2ogEWY1kGG84jB9Yxqrz3HftrtzKkfnfGhaOjDt5ucXtbjwQdvbJORyOT179qwrKPu1dEwDAjRGjhCdDJO4T1Fu3z2L4l59BhAfpmn6bkDn9D4PUinOZDIqFApdCwenaWSdF/71wli8fn2bdg6MRBwWD1J99hZ1+4ZXH3RnKwcAb6lUynfOsxOswwbefD4vy7I8p6HV63UdHh52bdDiXMOTJ090eHiotbW1wJu4xAkBGmNDiI4vfkuQPFSfvXX2QgO4lslkfHdXPj09Db1D4MHBgXK5XNfH1et11et1ZbNZz8WDtm1rdXU18ftt0MKBsSKoYdpMY/V5km6dX076EoCptLW1pUaj4dnGUS6Xlc/n2x6zbVvVatXzXOVyWalUyjN012q1qVw02IkKNIDEikP7xiSMuvocx/aNXmjjAPozDENPnz6VZVkqlUqtx8vlskzT7KoG53I5VatVFQqFtoWAtVpNhUJBuVxOxWKx9bjTmnF4eKiTkxPf63AC/LAzpyeNAI2xS1IrxyyM45vUbwWmYQEh1WcASZLNZmUYhizL0vr6eiv0eu0umMlkdHx83LV196NHj3pWp/2qz7VaTU+ePGkFaMuyVKlUlMlkEjmpY67ZbMZ7TlGMnZ+fa2VlRff/3v9c83doTQgr7qG0M1jG/XoHldQAHcXoumEq0JMKz+PofZ5UBTpI+4bfZiruCnRnDzTzoNHpsvlOv/X5oc7OznTv3r2xvraTHR79ub8e+di5y6u3evZf/q8m8nnNmmT+/hJTIc790F7XFufrHdQ0fk5BJbV9Y9SS1r7hpXMeNABEjX9BMFFxDHC9rimO14vxm+bqc9xd3FvyfLxzUxUAGCUCNOAySwF5kp9rHNo3BkXfMwCAAI2Ji0toDXodcbleDC6J7RtJ6X0eFOPrACRJ8v4VwVSadCgN+/qTvt5hJf36J4Xqc3+T7n8GgHEgQGPmDRomCaGDmYbxdeNG7zMAxAsBGrExiUA67GsSopNn0PaNaa8+T7J9AwCShgCNWBlnII3qtZIWopN2vZ0muYAQo0H/M4CkIUBjJiU9RCbVpNs3klh9TlL7Bv3PAGYFARqxM8pw+/r17ZGcPymBPCnXifGaxvYN92Yq86vG5C4EwFQiQGNmEB6B5PPbylvq3kyFEA1gVAjQiKWow+44wjMBfTrRvjE95leN1hsADIN5Uph6BNtrk/46JLX/GaM16gWEzZW7mjt7NdLXAAYxd/6Z5ubfRXvO99GeD/74FwWxFUXgm3RoBAY1rupzVP3PcV5A6G7lcFCFBjAMAjRibZgAnMS50qMS1+uKu2mf/TzrCNEABkULB6YOYTF+aN/ApNHKASBKBGgkGmEZo8LiwfjpNYFjUPOrht6/tCM/L4DpRoBG7BGSh8PXD36mcf7z1cqHWjj73PM5qtAAosLvNYGIEVgxawZdQMgW3gCSigANYKQm3f88CNo3AAC9EKCBKUY1PPwCQiZvTDevkXYAEBYBGgBm0DT2PwPAuBCgAeBLVJ8BAEEQoIERiEPrRByuIUniEJ7pf/Y3ihF2ADAoAjSAkUniAkKEE+ctvAFgVAjQAGZeHKrPs4YRdgCSjAANTCHaN64laQtv2jcAIDmS868LACASTOAAgOEQoIERoQqcDLRvTBe/bbwBIEoEaAAjwQJCJMX8qjHpSwCQMARoYMpQ+b6WpP5nTB4hGkAY/AsDABPGAsJ4IEQDCIoADQAYSFJnQDdX7vo+R4gGEAQBGgBmSBIncIx7F0JCNIB+WOUDTBH6n6/R/4xhza8aev/SnvRlYIq9t229n7sV7Tmb7yI9H/zxrwyAyDGBA72wCyGApCNAAyNERThaC68XJn0JkWMBYXzRygHADwEaAAAACIEADWBmsQshAGAQBGhgStAuco0FhACAUeNfGgAAACAElspH4P+d/Ru6d+/epC8DAAAEcH5+rpWVw0lfBhKMCjQAAAAQAgEaAAAACIEADQAAAIRAgAYAAABCIEADAAAAIRCgAQAAgBASP8auWq2qUqlofX1dtm1Lkvb29iZ2HgAAgLiaRG6axoyV6ABdLpd1eHioUqnUeqxarSqTyahSqYz9PAAAAHE1idw0rRkrsS0ctm1rZ2dHT58+bXs8nU6r0WioWCyO9TwAAABxNYncNM0ZK7EB+ujoSKZpyjCMrue2t7dVKBRGfp63b9+2/RfT7e3bt/rbf/tvc79nBPd7tnC/Z8ss/vs9idwU1WvGUWIDdKlU0tramudzpmmqVqu1+mxGdZ5Z/AM4y96+fau/83f+Dvd7RnC/Zwv3e7bM4r/fk8hNUb1mHCU2QB8fH8s0Tc/nnMfr9frYzhMnv/Zrvxa784b92KDH9ztu0OdH9TUcBe738M9zv7nfccX9Hv75JN3vUZpEbprGjOVIbIC2bdvzVwJuQW5KVOeJE/7CHf75JP2Fy/0e/nnuN/c7rrjfwz+fpPs9SpPITdOYsRyJnsLhx7lZjUZjpOdpNpuSpH/xL/5F2+MffPCBPvjgg6FeexhXV1c6Pz+P1XnDfmzQ4/sdN+jzXo8774/iazsM7vfwz3O/ud/c79F9bBzu9x//8R+3tWs4/247/45PwmXzYuhzvG++13td3ZxTg51zXLlpFK85KVMZoMfl4uL6G/Xnf/7nJ3wl3VZWVmJ33rAfG/T4fscN+rzf41/72tcCXdc4cb+Hf577zf2WuN+j+thJ3+8f//Ef93zc+Xd8nG7duqWvfvWr+u3/3/dHcv6PPvpIt27dGsm5cWMqA7TTkO7XuB7Vee7fv6/T01MtLS1pbm6u9fikK9AAAODG27dv2yrQzWZTFxcXun///tiv5fbt23rx4oXevXs39Lk6Py9Junv3rm7fvh3qPOPKTaN4zUmZygA9LvPz877N8b3Ytq1qtSrLsnR6ejqCK8O4uWdZnp6e6vHjx337vpBc/BmeLQcHB5Ku/2zX63UVCoWB/u5HMjh/n9u2refPnyufzyudTkf6Grdv3w4dchEviQ3Qpmn6Np47/TRB/oKL6jxB1Wo1HR8fa21tLbGN82hXLpdVqVRauyzZtq1Hjx7p5ORkwleGUeDP8GyxLKvtB+Jyuaz19XWdnp4SoqdQPp9XLpdrBWZnx7yXL18mvigyidw07ow1TomdwpFKpXxnBzo3K5VKje08QaVSKe3u7kZ6TkzWkydP9Pjx49b7hmFobW1N1Wp1gleFUeHP8GypVqtti5yy2awMw0j0BhDw12g02racdsLd8fHxpC4pMpPITePOWOOU2ACdyWR8f6o5PT0N/OuWqM6D2WTbtmq1WtdP0KZptv0lDCB5bNtWvV7v+jdibW0tsZs/oLdSqdT2w1GtVpMkbW5uTuqSIjOJ3DTNGWuuOckZLkOwbVsPHjzQyclJV3hZX1/X/v6+stls2/H/9J/+U/3Gb/yGDMPQ/v6+73mq1aoqlYr+/t//+/rmN7+pn/7pn9be3l6k11+v17W+vj7RETqzzLZtWZbV9r3gxfleWF9fb/2D6f5eqNVq2tjY6LqPlmWpVqupUqmM5PoRTlT3240/w/E1ivvtNjc3p0KhoN3d3aguGUMY5f3OZDLKZDKRZ4BJGCQ3HR8fd4XcMOcJ+5qJ0kywUqnUzGazXY+l0+m2x/b29po//uM/3pTU/LEf+7Hm7u6u73mc/3efp1KpdJ1zWKenp82Ef/kTaW9vr5nNZpv7+/tN0zS7vhfcvL6/Or8XKpWK533c29trplKp6C4cA4n6frvxZzh+Rnm/HYVCoWmaZiTXi+GM8n4XCoXWuadJ0NzUbDab6XS6KalZKBSGOk+YY5MksRVoR9CfKA8ODvTkyRN99atf1S/8wi909a9Vq1X9k3/yT/T06VNZlqUPP/yw7TwbGxvK5/ORVRyoXk3exsaGNjc3PXsZnZ+aX7x40bVwxP294LfAxLIsVatVFhLGSBT3240/w/EW9f12f5xXNQ2TNar7HaSynTRhc9OzZ888+5TDVPQH/W1PnCV2CocjnU4H6qHZ29vT3t6eNjY2fM9Tr9f19a9/XX/rb/2true3t7fbfmVXrVYDLyKhFzZ5jo6OZJqm56pr9/eC3/xK27YTO9tyFgW935gOg97vnZ0dPXv2jPCcMIPeb2ex6NzcnD7++OPEBz5H2Nw07HnCHpsUiQ/QUSqVSr6hxzRN1Wq11r7u0/jNgBtBvxecf0gbjUbbX86NRiOxK4tnUZg/+0i+Qe63M86OP9fJE+Z+5/N5WZbV9kOSaZqqVCpTE6ARjcRO4RiF4+Nj38qC8zhzX2dD0O8FwzCUSqW6vi/q9boymczIrxPR4M/+bAl7v8vlsjKZTFt4dm+ehHgLer9rtZqKxWLXn/XOAgkgEaDbBKkwRfWPKCOQ4i3M98Ljx4/b2nSce8tvKJJjkD/7/BlOrjD3u1qt6vnz51pbW1OtVlOtVlO5XB7DVSIqQe93KpXS3t5e29/d1WpVtm1PVQ80okELR0DOHz73QP1B1Ov11s51kpTL5fTw4UPt7u7yE25CdH4vZLNZNRoNFYtFra2t6fnz53r27NkErxBR6rzf/Bmebu77bdu2crmcbNtubeftYETldOj88/348eO2e/38+XMWjcITAXrMTNPs25iP5HEvQEnsTEsEwp/h2WEYhl6+fDnpy8AYGYbBn20EQgtHQM6va5msAL4XZgv3e7Zwv2cL9xuDIkADAAAAIRCgXUzT9F0k6PRH0Qc1G/hemC3c79nC/Z4t3G+MAgHaJZVK+a6sd/7wMQN0NvC9MFu437OF+z1buN8YBQK0SyaT8f0p9fT0lLFkM4TvhdnC/Z4t3O/Zwv3GKBCgXba2ttRoNDz/oJXLZeXz+QlcFSaB74XZwv2eLdzv2cL9xijMXIC2bdt3lrNhGHr69Kksy2p7vFwuyzRNxpNNGb4XZgv3e7Zwv2cL9xvjNtdsNpuTvohROzg40PPnz1tbdUrXu8QZhqHt7e2uPzzValWVSkXr6+utvinmQk4HvhdmC/d7tnC/Zwv3G5M0EwEaAAAAiMrMtXAAAAAAwyBAAwAAACEQoAEAAIAQCNAAAABACARoAAAAIAQCNAAAABACARoAAAAIgQANAAAAhECABgAAAEIgQAMAAAAhEKABAACAEAjQAAAAQAgEaAAAACAEAjQAAAAQAgEaAAAACIEADQAAAIRAgAYAAABCIEADAAAAISxO+gIAYBRs21Yul5MkGYahp0+fyjAMSdLBwYEqlYoMw5Bt29rf31cqlZrg1QIAkoQKNICptLOzo1KppEqlomq12grTmUxGhmGoUqmoVCrJNE09evRowlcLAEgSKtAApk61WtXDhw9bFWfTNFshOpfLaXd3V9J1JbpYLE7wSgEASUSABjB1SqWSLMtqvV+v1yVJa2trrfAsXQdrSdrf3+86R7VaVaFQ0NramqTrNhCv4ySpXC6rUqlofX1dn376qe85AQDTYa7ZbDYnfREAEKWNjQ2dnJxIug7P6+vrkqSXL1+2qtK9WJalarXaOofzWK1WU6VSaTu2WCy2WkXcjxUKhbaPBwBMDwI0gKlTq9VaiwKLxaLy+bzS6XRX+PVSrVaVyWR0cnLStbBwbm5OhUKhVcW2bVurq6uex66vr8uyrLaKNwBgOrCIEMDUcYdZJzQ7iwj7cVovvKZypFIpFQqF1vtHR0e+x6bT6bZjAQDTgwANYKqVy2VJ14E2iOPjY982j83NTdVqNdm2LUmtKR5e1tfXVavVQl8vACD+CNAApla1WpV0vVjQL+h2sm27tXCwkxOsnUWJvcK287hzDQCA6UGABjC1nPaNoNVn6TpsNxoNz+ec4Oz8t1fYdjjVagDA9CBAA5haTvU3aP+zdB22/UKv05LhF7Dd+gVrAEByEaABTCXbtluBN0wFen9/X4ZhtHqnHbVardUGEqQdxAnZQcI2ACBZCNAAppJTfQ4TnqXr3uVnz57pyZMnrXNUq1UdHx+3pm0ECdBOFZtKNABMHwI0gKllGEbbjoRBpVKp1iYoxWKxtYOh0/vsBGjDMHwrzM6OhEE2bgEAJAtbeQOYStlsVtlsdqhzdFava7Va22Obm5utUB30HACA5KMCDQAutVpNGxsbXTOc6/W66vV6a6MV6Xpxol+ArtfrnhusAACSjwANAC7Hx8eeG6Ds7+8rm822heKtrS1J3rOeq9Wq8vn86C4UADAxc81msznpiwCAuKjX67IsS6VSqfWYZVmqVqutvmi3g4MDHR4etj13cHCg58+ft50DADA9CNAA0KFarapQKEi6nqaRSqXaWjc6lctlVSoVra+vtxYP9joeAJBsBGgAAAAgBHqgAQAAgBAI0AAAAEAIBGgAAAAgBAI0AAAAEAIBGgAAAAiBAA0AAACEQIAGAAAAQiBAAwAAACEQoAEAAIAQCNAAAABACP9/23POUInHwQwAAAAASUVORK5CYII=", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "u_T_values_nfw = np.zeros((len(rho_arr), len(r90_vals_nfw)))\n", + "\n", + "for i, r90 in enumerate(r90_vals_nfw):\n", + " for j, rho in enumerate(rho_arr):\n", + " u_T_values_nfw[j, i] = u_t_nfw(rho, r90)\n", + "\n", + "# Creating the contour plot\n", + "X, Y = np.meshgrid(r90_vals_nfw, rho_arr)\n", + "plt.contourf(X, Y, u_T_values_nfw, levels=20, cmap='viridis')\n", + "plt.colorbar(label='u_T')\n", + "plt.xscale('log')\n", + "plt.xlabel(r'$r_{90}$')\n", + "plt.ylabel(r'$\\rho$')\n", + "plt.title('NFW Subhalo')\n", + "plt.ylim(0,3)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 149, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#New R90 Implementation longer t_dur\n", + "R90_plot_vals = [0.1, 100]\n", + "for R90 in R90_plot_vals:\n", + " plt.loglog(m_arr, fdm_dict_e[R90], label=r'$R_{90} =$ ' + str(R90) + '$ ~R_{\\odot}$', color=color_dict[R90], linewidth=2.5)\n", + " plt.loglog(m_arr, fdm_dict_e_101[R90], color=color_dict[R90], ls='--')\n", + "\n", + "plt.plot(0, 0, color='k', label=r'$A_T = 1.34$')\n", + "plt.plot(0, 0, ls='--', color='k', label=r'$A_T = 1.01$')\n", + "\n", + "plot_existing_limits()\n", + "plt.ylim(1e-7, 1)\n", + "plt.xlim(1e-11, 1e3)\n", + "plt.legend()\n", + "plt.xlabel('$M_{DM} [M_{\\odot}]$')\n", + "plt.ylabel('$f_{DM}$')\n", + "plt.title('NFW subhalos')\n", + "# plt.savefig('figures/extended_limits_e_101.pdf')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 119, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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wgx+EupSgiNgb7TyLKZSWlkIQBO92nU6HwsJC1NTUDLussK/8/Hzo9Xq/bYIgoLq6ethr8EY7IiIiovAWaF6L2FBcVVWFkpKSQRdxSElJgVar9VvwYTglJSXIz8/3Li+s1Wr9WoINhaGYiIiIKLwFmtcidvqE7+pn4yEvLy/gkWUiIiKiaFFbW4stW7bg+9//PqZPnx7qcoImYkNxXl4ezGbzoPtEUUROTs4EV0REREQ0+Tz99NN48cUXsX//fvzpT38KdTlBM+m6T1RUVABwTYkgIiIiotFra2vD5s2bAWDS3mDnEbEjxYMRRRGVlZWorq4eMM/4ZIxGo9/NdvX19QNu4iMiIiKKJi+88AKsVitOP/105ObmhrqcoIr4UOxpy1ZfXw+TyYSamppRBWKDwYCioiLvNoPBgOzsbNTV1Z00GFssFr/XarUaarV6RDVQ+MvOzkZpaal37nlVVRUAYMOGDaEsi4iIKCicTqe3N/Edd9wBmUwW4ooCY7VaYbVava9PzGlDidjuE4PR6/UoLy9HcXFxQN0jTqawsBAAUF1dPeh+z92MJ3r44YfxyCOPjPn9Kbyc+JdBUVERKisrQ1QNERFRcG3duhV5eXlISkpCY2MjEhMTQ11SQB555BE8+uijA7ZP2pZsQxFFESkpKaisrPQb+R2NqqoqFBcXY6hfIk8obmho8PtF5kjx5FRcXIzs7GwArhs9R/oTCSIiokhSWFgInU6HH/7wh3jmmWdCXU7ABhspzsjImLwt2YYiCAIKCgpQXFyMNWvWjGlOcGpqKgDXVIrhVrVLTk5mn+IokJmZOeZvtIiIiCKBJElISUlBbGxsxN1gN9rByUkXigEgNzcXOp0Oer3+pNMoiouLIQgCysvLB+zzBGqTyRSMMiFJErrtfUG59niKV8aMaR6RwWCAXq+HIAgoKipCRUUFBEGAKIoRNx/XswR4amoql/8mIqJJSyaToaqqCk888UTUDPxFbChOSUlBXl7eoPN9PWHWaDSe9DqbN28ectEOz/nB6nncbe9D8l8fDMq1x5PlO48jQTX66SC1tbXYsGEDZDKZt6uH0WhEdnY2ioqKIqbDh+cmzry8PBiNRuTn56O8vJzhmIiIJq1oCcRAhIZiURSHXcmuvr4eAAKa81lUVDToKDHQH4IiJbSFI71e7w2RAJCfnw9BECAIAiorK4Pya1tcXBzQN0S+xwdyY2ZlZaX3z1RWVhaKi4tRWFjo/fNGREQ0GezYsQMAcNppp4W4kokVsTfaFRcXD3nnf3Z2NoxGo9+Kd54fe584KqzT6aDVageM9nlu2Kuurh4yMAW6lvZQomH6hNFohFarhU6nw/r164dchdBoNKKyshKZmZkDekQbjUbv79O2bdtQXFwcFje5GY1GZGZmoqamhkuEExHRpHH55ZfjnXfewa9//Wv8+Mc/DnU5YxZwXpMiVH19vVRUVCSZzWa/7ZWVlRIAqa6uzm97Xl6eBECqrKwccK2ioqIBx2dlZUlFRUXD1tDe3i4BkNrb20f3IaJIUVGRVFBQMOg+s9ksabVa7+v6+nopLy/P+zorK8vvWN/XE2XDhg0D/oyYzeYh/0wRERFFot27d0sAJJlMJu3fvz/U5YyLQPNaRE6fAFxTIyorK73LOYuiCJPJhNTUVJjN5gE/ls/Pz0dtbe2g84MrKytRUVGBTZs2ea9TWlo6Lr2OyUWv1w+59LbvSoKA6/dWr9dDFMUB0yA8N+h5RqAHE4zpExUVFcjMzPT7iYLnBsxwGLUmIiIaD08//TQA4JprrkFmZmaIq5lYERuKPYaaD3yiDRs2DNvpINK6IEQST4gdborBYB0+jEYjamtrBz3eYDAMGUaDsaBGeXn5gHZsno4anDpBRESTQVtbG1544QUAmBTTJkZKHuoCaPLzhMehQuyJodJgMABwhWJRFL39oj0EQQham7yhZGVlQafTeV+Loojy8nJs3LhxQusgIiIKlo0bN6Knpwenn346Vq1aFepyJlzEjxRT+DOZTMMueiEIArZu3YqKigq/6QlarRYmk2lAAB4sKAdbXl6e3xQQz42BHCUmIqLJwGaz4Xe/+x0A1yjxWNYniFQR230iHIy1+wT1850jLIoi5s+fD7PZDIPBgPXr16Ours57bEpKCurq6jiXl4iIaJzs2bMHeXl5cDgcOHTo0KhWhAtXgeY1jhRTWMjMzPTeIFlWVuadlpCVleXXk1oURWi1WgZiIiKicbR06VIcPHgQ+/btm1SBeCQ4UjwGHCkeP1VVVUhNTfV2EPHtBmEwGLBp0ybk5uaGVZ9iIiIiCn+B5jWG4jFgKCYiIqJI98knnyA3NxdK5eScQBBoXmP3CSIiIqIodejQIZx33nlYuHAh2tvbQ11OSDEUExEREUWp3/3ud3A6ncjMzIRGowl1OSHFUExEREQUhTo7O703tkfjYh0nYigmIiIiikLPP/882tvbsXDhQlxxxRWhLifkGIqJiIiIoozT6cRvfvMbAMDdd98NuZyRkL8CRERERFHmzTffxP79+yEIAtatWxfqcsICQzERERFRlNHr9QCA9evXIzExMcTVhAf2KR4D9ikmIiKiSPXpp59izpw5mDlzZqhLCSou80xEREREQzrrrLNCXUJY4fQJIiIioighiiJMJlOoywhLHCkmCpBer0dNTQ1EUYTRaERhYSGKior8jjEajSgvL0dmZiYAQBCEAccQERGFym9+8xtUVFTg//7v/3DPPfeEupywwlBMFAC9Xg+DwYDy8nIAru+0s7OzUVdXh8rKSgCuQJydnY0DBw5AEAQAQElJCSoqKrBhw4ZQlU5ERAQAsFqt+P3vf4/u7m7MmDEj1OWEHd5oNwa80S56FBYWorq62m9bVVUViouLUV9fD61Wi+LiYgiC4A3OgCs8p6SkgP+bERFRqD3//PO49dZbMXv2bBiNRqhUqlCXNCECzWucU0wUAJ1Oh5KSEr9tOTk5APrb2mzevNk7bcLDM2LsOYaIiCgUJEnCU089BQC46667oiYQjwSnT1DQGQwG6PV67/zaiooKCIIAURQjZlpBQUHBgMDrSxRFiKIIrVY7YJ8gCDAYDMjLywtmiUREREP6z3/+gx07diAuLg7r168PdTlhiaE4hCRJgtPmDHUZJyVXySGTyUZ9fm1tLTZs2ACZTIb6+nqUlpZ6598WFRV5R1PD2YlTJwDX5wKAvLw8GI3GIc9NTU1FW1tb0GojIiI6mV//+tcAgHXr1iE1NTXE1YQnhuIQctqc+OLhf4e6jJNa+eiFUMQoRnWuXq/3C435+fkQBAGCIKCysjIogbi4uHjYkDrY8QUFBSN+n/LycpSXl0Or1cJgMAx7rCiKI74+ERHReGhra8OWLVsAAHfffXeIqwlfDMUUVFqtFlqtFjqdDoIgeKcQaLVav1ZlRqMRlZWVyMzM9I4mewKz0WiETqeDVqvFtm3bUFxcPOg0BQ9PN4hgKiwsRF5ennf6x3Dhnv0giYgolKZMmYL6+nq89dZbWLJkSajLCVsMxSEkV8mx8tELQ13GSclVo78f0xNea2pqhpxTK4oi8vPzUV9fDwDeHsA1NTUAXAG0rq4OgGuqwurVq72vQ6Gqqgqpqal+4dvzo6jBRoRFUYyIKSJERDR5zZw5E7fffnuoywhrDMUhJJPJRj0tIdLo9foB3Rt89/nSarXQ6/XeRTJ8eW7QMxqNQ44WB3P6hE6ngyiKfoHYE3oFQRhyVDg/Pz/geoiIiMbL8ePHMW3atFCXEREYiinoPCF2uO4Lg4VJo9HovZntRAaDYchQHKzpEwaDASaTya9jhiiK0Ov1KCgowJo1a7yj3R6ecM7OE0RENNHa2tqwYMECnHfeeXj55Zf5U8uTYJ9iCjpPO7ahQuyJgdFz05rRaIQoigPukh1uRDZYjEYjysrKkJqaCp1O5/0qKSnxfq6SkhLodDq/8yorKydkjjMREdGJfvvb36KzsxPHjx+HRqMJdTlhjyPFFHQmk8nvproTCYKArVu3oqKiAllZWd7tWq0WJpNpQAAeLCgHW3Z2NkRRHBB6gf6Raa1Wi+rqapSUlCA3NxdGoxFTpkwZ9rMTEREFQ2dnJ55++mkAwP333z+m1qrRgqGYgi6QUCgIgndagmeOricgnzjSajKZ/MLzRDCbzQEdl5WVNeG1ERERnaiqqgpmsxkLFy7EDTfcEOpyIgKnT1BYyMzM9HZuKCsrw8aNGwG4QqZvRwfPqnHDtWQjIiKKZlarFU8++SQA19Q+hSI6buofK44UU1iorKyEXq+HyWRCbm6uXzcI3ykJ27ZtG3R1OSIiInL5y1/+gsbGRsyaNQu33HJLqMuJGDJJkqRQFxGpLBYLNBoN2tvbkZycHOpyiIiIiHDBBRfgv//9L371q1/hnnvuCXU5IRdoXuNIMREREdEksmXLFvz1r3/F2rVrQ11KRGEoJiIiIppE1Go1brvttlCXEXEiOhSLooiqqiq0tbV5X5tMJpSWlo64A4Ber0dNTY3fDV++izQQERERhbOmpiakp6fzxrpRithQLIoiysrKUFpa6rdCi06nQ3Z2NmpqagJeRUyn02HTpk1+N3Dp9Xrk5+ejpqZmvEsnIiIiGneFhYVoamrCiy++iLPOOivU5USciG3JtnnzZlRVVQ1Y2KGgoACCIKCkpCSg64iiiPXr13tbgHnk5eXBZDKhqqpq3GomIiIiCoYPP/wQH374IQ4fPow5c+aEupyIFLGh2NOn1reH7Whs3rwZWq120PXA165dyyV6iYiIKOyVlZUBANatW4eZM2eGuJrIFLHTJ/Ly8oZcZUwUReTk5AR0nerq6iGXDNZqtTAYDN4V1oiIiIjCzY4dO/DWW29BLpfzfqgxiNiR4qFUVFQAQMDTJ2pra4dcHc2z3Wg0jk9xREREROPsF7/4BQBgzZo1WLBgQYiriVyTKhSLoojKykpUV1cHvAxwIKPADMVEREQUjvbv34/NmzcDAO6///4QVxPZInb6hIenLVt9fT1MJhNqamoCDsQn4wnLJ97MdyKLxeL3Wq1WQ61Wj0sNREREREPR6XRwOp244oorcNppp4W6nLBgtVphtVq9r0/MaUOJ+FAsCIJ3/oxer0dxcTGKi4tRUFAwYTVkZGT4vX744YfxyCOPTNj708TIzs5GaWmpt9WfpzOJ7/wto9GI8vJyZGZmAnD9+SwqKpr4YomIKCqUlJTgnHPOgUajCXUpYaOsrAyPPvroiM+TSZIkBaGekBFFESkpKaisrAwojMhkMmzYsAHl5eUD9hkMBmRnZ6O6unrQkO1ZS7uhocFvLW2OFE9OMpnM73VRUZFfdxKj0Yjs7GwcOHDA+1OGkpISTJkyhTc+EBERTZDBRoozMjLQ3t7ul9dOFPEjxScSBAEFBQUoLi7GmjVrJqRrRHJy8rC/yDQ5FBUVITs7G4Cr+8mJ03TKy8tRVFTk92eutLQUKSkpDMVERDSuLBYL7Hb7kB20otloBycn1Y12Hrm5uQBc0ylORqvVDnkjnWcu8XjNUabIlpmZiaKiIhQVFQ36Z2Lz5s3eaRMenoAcyJ9FIiKiQD311FOYO3cufve734W6lEkjYkNxSkoKCgsLB93nCSKBdI3IysoacgEQz/lZWVmjqpFcDAYDKioqvHNwPc897fMiiSiK0Ov1MBgMA7aLojhoWBYEYcDxREREoyWKIn7961+js7MT6enpoS5n0ojI6ROeADKU+vp6AIGN8Obn5w86n9hzHc9NVcEgSRKc9r6gXX+8yJUxA+bTjkRtbS02bNgAmUyG+vp6lJaWeuffnjjdIJx5Opvk5eXBaDR6/+xkZWUN+w1Yamoq2traJrBSIiKazH71q19BFEUsX758yAFCGrmIDMWeO/qHWoJZr9d75xZ7iKKI2traASF3zZo1KCkpgdFoHBCidTrdkIF5PDjtfTD84Y6gXX+8ZN3xByhUo7txUK/Xe0Mk4PomRBAECIKAysrKoATi4uLiEfWWDrRbSWVlpffPSFZWFoqLi1FYWOj9Jmw4Y12OnIiICADa2trw1FNPAQAeffRRyOUR+0P/sBORoRhw3dVfXFyM8vJyv2BVVVUFg8GAuro6v+MLCwuh1+sHdKUQBAEbN25ESUkJqqurvdt1Oh20Wu2EtnabjLRaLbRaLXQ6HQRB8H5TotVq/X4fjEYjKisrkZmZ6R1N9p0G4/n92LZtG4qLi4f9KcBQ3yyNx2fx5Rkh1uv1w9Zzsj7XREREgXriiSfQ0dGBlStX4rrrrgt1OZNKxIZirVaLyspK73LOoijCZDIhNTUVZrN5wAhkfn4+amtrkZOTM+BaBQUFEAQBJSUlyMzM9I7q1dTUBPUzyJUxyLrjD0F9j/EgV8aM+lxPWKypqRlyKoooisjPz/eOuBqNRhQWFnp//QsLC73f5OTl5WH16tUDvukJtpKSEqxdu9Zvfrnnjl+j0ej9czXYiHAgqyYSERGdTHNzM55++mkAHCUOhogNxR6BTm/YsGHDsG2x8vLygjp/eDAymWzU0xIijV6v934DM9g+X1qtFnq9HqIoDpgGIQiCd/tQo7PBmD5RUVGBzMxMv1Ds253EMyVkqFHh/Pz8gOshIiIazIcffgibzYbc3FxcffXVoS5n0on4UEzhzxNih/umY7AwaTQaUVtbO+jxBoNhyFAcjOkTnh7Evjxz1z2fa82aNQPmF3vC+UR/w0VERJPP9ddfj2+++QaiKI7pBngaHMfdKeg84XGoEHtiYPS0LzMajRBFcUBj8uFGZIMlKysLOp3O+1oURZSXl2Pjxo3ebSUlJX7HAK6AHqw5zkREFH3mzp2L0047LdRlTEocKaagM5lMwy65LQgCtm7dioqKCr/pCVqtFiaTaUAAHiwoB1teXp7fFBDPjYG+gV6r1aK6uholJSXIzc2F0WjElClTAlpunIiIaCiNjY1obm7GypUrQ13KpCaTJEkKdRGRymKxQKPRnHQtbTo53znCoihi/vz5MJvNMBgMWL9+vd+NdSkpKairq+NKg0REFBXuuOMOPPvss3j00Ufxs5/9LNTlRJxA8xqnT1BY8O36UVZW5p2WcOKKg55V4xiIiYgoGhw8eBDPPfccAODCCy8MbTGTHKdPUFiorKyEXq+HyWRCbm6uXzcI3ykJ27Zt8+snTURENJn93//9H2w2G/Ly8rBq1apQlzOpcfrEGHD6BBEREQXL/v37sWTJEjgcDnz88cc4++yzQ11SROL0CSIiIqII9thjj8HhcODyyy9nIJ4ADMVEREREYebrr7/G3/72NwCucEzBxznFRERERGHm0KFDSE9Px1lnnYWcnJxQlxMVGIqJiIiIwsyll17qXcSKJgZDMREREVEYio+PR3x8fKjLiBqcU0xEREQUJr766iu88sorcDqdoS4l6jAUExEREYWJBx98EDfeeCPuv//+UJcSdRiKiYiIiMLAtm3b8M9//hNyuRy33XZbqMuJOgzFRERERGHgZz/7GQDglltuweLFi0NcTfRhKCYiIiIKsQ8++ADvvPMOFAoFfvrTn4a6nKjEUExEREQUQpIk4X//938BALfffjsyMzNDXFF0YigmOoHBYEB+fj5SUlKg1+tDXQ4REU1ymzdvxueff46EhAQ88sgjoS4narFPMdEJsrKyUFNTA5lMFupSiIgoCsyZMwc5OTm4+uqrMX369FCXE7UYiomGIAhCqEsgIqIocPbZZ+Ozzz6D3W4PdSlRjdMniIiIiEJMLpcjJiYm1GVENY4Uh4Gurq4h9ykUCsTGxgZ0rFwuR1xc3KiO7e7uhiRJA45LSEgY8hqBMBgMKCkpQW1tLTZu3IiCggKIooj169dDr9ejqKgI5eXlY3qP0dDr9SgpKYHBYEB9fT10Oh22bduG/Px8FBUV+R1bVVUFAKivrweAQes1GAzYtGmT9+YIURSxYcOGIH8KIiKKZI8++iicTifuu+8+JCYmhrockmjU2tvbJQBSe3v7mK4DYMivK664wu/Y+Pj4IY+94IIL/I5NS0sb8ticnBy/Y+fOnTvoceMFgFRdXe23LS8vT9qwYcO4vcdImc1mCYBUXl4uSZIkbdiwQSoqKvLuFwRBKioqksxms9+2Ez9HTU2NlJeX57eturpaKigoCF7xREQU0Q4ePCip1WoJgPTmm2+GupxJLdC8xpFimhCDzc8dyZzd4uJiGI3GER1fUFAwopoGGwEWBMHvuJycHGzbts3v2sXFxaisrPQ7r6CgAOvXr4dOpztpHUREFH0efPBBWK1WXHTRRbj88stDXQ6B0yfCQmdn55D7FAqF3+vm5uYhj5XL/aeIHzx4MOBjd+/ePej0iXBxYugcT1lZWUPuy83N9Xt9YpA2GAwwGo3IyckZcG5eXh42bdrEUExERH7q6urwt7/9DQDwy1/+kt2OwgRDcRgYybzdYB0bHx8f8LGTTWpq6qjPra2tBTD0qPdIRreJiGjykyQJ9913HwDg5ptvRnZ2dogrIg+GYgoZURQDPjYY0yfGg1arBeD6LIMFY89+IiIiAHj77bfx/vvvQ61W4/HHHw91OeSDoZhCxmg0Djt1wVcwp0+MRV5eHgRBgF6vHxDC9Xp9SDprEBFReJIkCT/96U8BAD/60Y8wd+7cEFdEvtinmCZETk6O30ivwWAAMLLR4nAgiuKAmjdu3IiysjK/bVVVVcjJyRnQ3o2IiKKXTCaDTqfDbbfdhgceeCDU5dAJOFJME6KyshIlJSXenr9arRZZWVnYvHkzTCYTqqurJ7QevV7vHX1ev3498vLyvKO6BoMBlZWVEEURZWVlMJlMWLNmDcrKylBbW+udR+w5v6CgAFqtFiUlJcjMzPSG5pqamgn9TEREFP7mz5+PP/7xj6EugwYhk8K55UCYs1gs0Gg0aG9vR3JycqjLISIiojDV3NyMqVOnhrqMqBRoXuP0CSIiIqIgampqQmZmJm688UZ0dHSEuhwaAkMxERERURA98sgj6OzshNFo5HLOYSyiQ3FVVRVKSkqQn5+P7OxslJSUjPgahYWFKC4u9rvxS6/Xo7Cw0LuNiIiIaDT27NnjnUP8xBNPcKGOMBaxN9qVlJSguLjYe3e/KIooLCxESkoKDhw4EPASwqIoQqfTeW8AA1wLMVRXVwfcLoyIiIhoMCUlJXA4HLjmmmtw/vnnh7ocGkZE3min0+m83Qt8iaKIlJQU5OXlBXznv2ek2TMqrNVqA170gTfaERER0VD+85//4MILL4RCocCuXbuwePHiUJcUlQLNaxE5Urxt27ZBg6sgCCgqKkJVVdWQK4wNJi8vD3l5eeNcJREREUUrh8OBe+65BwBQVFTEQBwBInJOcVVVFfLz8wfd51lD3NNLloiIiGiiGY1GNDU1QaPR4JFHHgl1ORSAiBwpzsnJGXKfZ+GE1NTUCaqGiIiIyN/ChQuxd+9e7Nixg/2JI0REhuLh5gvX19cDwIhukjMajdDr9X7XKC0tDXj6BREREdGJkpKScN5554W6DApQRIbi4VRVVXk7UgTCaDTCYDD4nWMwGJCdnY26urqAgrHFYvF7rVaroVarA66BiIiIJoft27fjq6++wne+8x3I5RE5SzXiWa1WWK1W7+sTc9pQJtXvVklJCbRaLcrLywM+p7q6esBNe1lZWcjKysL69esDukZGRgY0Go33q6ysbER1ExERUeRzOp248847sW7dOvy///f/Ql1O1CorK/PLZRkZGQGdF5Et2QZjMBiwevVq1NXVQavVjvl6VVVVKC4uxnC/PJ4WHw0NDX4tPjhSTEREFH1eeOEFfO9730NiYiL27t2LmTNnhrqkqDTYSHFGRsbkbMk2mMLCQmzdunVcAjHQf6OewWA46fzk5ORk9ikmIiKKYu3t7diwYQMA4Gc/+xkDcQiNdnByUkyfyM/PR2Vl5YhXoCsuLh5yaWjPXGKTyTTW8oiIiGiSe/TRR9Hc3IzFixfj7rvvDnU5NAoRH4o9wXY0i29s3rwZRqNx0H2e7cO1fyMiIiLatWsXnn76aQDA008/jZiYmBBXRKMR0aG4oqIChYWFAwLxiS3WhlJUVITq6upB99XU1ECr1bItGxEREQ3rRz/6ERwOB66//npccskloS6HRiliQ7FOp0NWVtagI8QGg8FvbrEoioOG5NzcXBgMhgHbRVGETqcbURcLIiIiik6PPfYYzjnnHDz55JOhLoXGICK7TxgMBpSUlKCwsNBvu2c1u02bNqGurs67PT8/H3q9HpWVlQN6GBcXF6O4uNhvPnJ2djZycnJQWVk5bB2e7hMnu5uRiIiIiEIj0LwWkd0nVq9ePeToL4ABHSjy8/NRW1s76PzgyspKVFRUYNOmTRBFESaTCaWlpQN6FxMRERH56uzsRGJiYqjLoHESkSPF4YIjxURERNFp3759OOOMM3DPPffgoYcegkKhCHVJNIRA81rEzikmIiIiCgVJknD33Xejvb0dn332GZdzniT4u0hEREQ0Av/85z/xzjvvICYmBr/5zW8gk8lCXRKNA4ZiIiIiogD19PTgxz/+MQDgJz/5CRYuXBjagmjcMBQTERERBeiXv/wlDhw4gFmzZuGBBx4IdTk0jhiKiYiIiAJgNBpRVlYGAHjyySfZeWKSYSgmIiIiCoBnDYSLLroIa9asCXE1NN4isk8xERER0UQrLCzEypUroVQqeXPdJMRQTERERBQg3lg3eXH6BBEREdEwHnroIXzyySehLoOCjKGYiIiIaAhvvfUWHn/8caxatQpHjhwJdTkURAzFRERERIPo6OjAD37wAwDA3XffjdmzZ4e4IgomhmIiIiKiQTz00ENoaGjA/Pnz8eijj4a6HAoyhmIiIiKiE3z66af47W9/CwCorKxEQkJCiCuiYGMoJiIiIvLR19eH22+/HZIk4bvf/S7y8/NDXRJNAIZiIiIiIh8vv/wydu3ahbS0NDz55JOhLocmCPsUExEREfn47ne/C6fTiaSkJKSlpYW6HJogDMVEREREPmQyGW699dZQl0ETjNMniIiIiAB88MEHaG9vD3UZFCIMxURERBT1jh49iquuugrLli1DfX19qMuhEGAoJiIioqgmSRLuvPNOWCwWZGRkYN68eaEuiUKAoZiIiIii2muvvYZ//OMfUCqV2LhxIxQKRahLohBgKCYiIqKoJYoi7rrrLgDA/fffj1NOOSXEFVGoMBQTERFR1PrJT36CpqYmLF68GA8++GCoy6EQYigmIiKiqPTmm2/iT3/6E2QyGTZu3IjY2NhQl0QhFLQ+xQsWLIDZbEZOTg6ysrKQmZmJNWvWIDk5OVhvSURERBSws846C2vWrMGcOXNw/vnnh7ocCrGgLt5RVVWFG264AQDQ3t7OQExERERhY8qUKdi0aRMcDkeoS6EwELTpE4IgeAMxAGg0mmC9FREREVHADhw4AEmSvK/ZbYKAIIbi1NTUYF2aiIiIaFQOHz6MlStXoqCgAB0dHaEuh8JI0EJxSkpKsC5NRERENGJOpxPf+973YLFYcOzYMcTFxYW6JAojQQvFoigG69JEREREI/b000/j/fffR3x8PP7yl79AqQzqrVUUYYIWiuvr63HGGWfgySefxBdffDGicw8ePBiUmoiIiCg67d69G/fffz8A4Mknn8SCBQtCXBGFm6B+i1RbW4va2lrIZDIAQH5+PvLy8pCXl4eVK1cOeV5JSQk2bdoUzNKIiIgoSthsNnz3u9+F1WrFZZddhuLi4lCXRGEoaKFYq9Wirq4ONTU1qKmpwdatW7FlyxZs2bLlpCGZUy+IiIhovPzf//0f6urqkJqaiueee86bQ4h8BS0Up6SkQKPRoKCgAAUFBQBcvYpra2uxZcsW6PX6QUPy6aefjtra2mCVRURERFHmoosuwvPPP49f/vKXmDlzZqjLoTAlk3wb9Y2jSy+9FO++++6wx5wYkrdv3+4qSiaLiEbaFosFGo2GC5MQERGFue7ubsTHx4e6DAqBQPNa0EaKjUbjSY/RaDRYvXo1Vq9e7d2m0+kCnutTVVWF+vp6GAwGmEwm5OXloby8fMS16vV61NTUIDMz0zt1Y8OGDSO+DhEREYUPk8nkXTeBgZhOJmjdJyRJwo4dO0Z8XkFBAbKzs096XElJiTcEe+YsGwwGpKSkjGhOsk6nQ2VlJcrLy1FUVIQNGzYgKysL+fn5I66diIiIwkNNTQ3mzp2LqqqqUJdCESJoodgzn3g07dUEQRh2v06nw9q1a6HVav3Oqa6uhiiKKCwsDOh9RFHE+vXrsXHjRr/teXl5MJlM/B+JiIgoApnNZtx6663o7OzEV199FepyKEIELRTX1dXhD3/4A37xi1+gtLQU7733XsDnnmyUdtu2bcjKyhqwXRAEFBUVQa/XBzRavHnzZmi12kFD+Nq1a1FZWRloyURERBQm7rrrLhw9ehSLFi0a1bRKik5BC8WAa8T12WefRVlZGSRJgsViCei89evXD7u/qqpqyODsmXoRSAeL6upq71yjE2m1WhgMBraHIyIiiiAvvvgiXnrpJSgUCvzlL3/hXGIKWFBDsa/Vq1ePW4eGnJycIfd5QuxQYddXbW2t3xQMX57tgdwwSERERKG3d+9e3HHHHQCAn/70pzjzzDNDXBFFkgkLxR5//OMfx7yMs2dBkMHU19cDwKDTK04kiuJJ5y8zFBMREYW/3t5erFmzBl1dXbjooovw0EMPhbokijBBXeZ5MPPnz8cvfvELHDhwAMXFxbj++uvH9fpVVVUoKioa83U8YdlkMp302BOnhajVaqjV6jHXQERERIFRKpW45ppr0NzcjL/97W9QKBShLolCxGq1wmq1el8HOn13XEeK165di0svvRRPPPEEvvjii0GPWb16NZ599lm8++67qK+vxx//+Mdxe/+SkhJotdoJn1SfkZEBjUbj/SorK5vQ9yciIop2SqUSjz32GPbu3YsZM2aEuhwKobKyMr9clpGREdB54zpSXFtbiwMHDkCv1wNwjbbm5eUhPz8feXl5mDdvnt/x9913H9auXYvbb799zO9tMBhQVVWFurq6k06JCMRI5iY3NDT4zZfmKDEREdHEOHbsGFJTU73/9nKFWSotLcW9997rfW2xWAIKxuMaiuvr6/Hqq69iy5YtqK6uhtlsRnV1NXQ6HQD/kJyTkwOTyTRuc3YLCwuxdevWIW+cC6bk5GT+T0hERDTBrFYrrrrqKgCuNQzmz58f4oooHIx2Guu4zym+4YYbcMMNN6CystI7alxTUwO9Xj8gJAMYl6kO+fn5qKysDOjmOl9arXbIUO6ZSxyKkE1EREQnt2HDBhgMBkyZMgUqlSrU5VCEC+qNdvPnz8f69eu9fYe3b98OvV6PLVu2YOvWraiqqhrz1Ini4mLvks8jlZWVNWQfYk9YHmnQJiIiouD7+9//jqeffhoA8MILL2D27Nkhrogi3YS2ZDv99NNx3333oaamBlu2bPG2TxutiooKFBYWDgjERqPRO695OPn5+UOOFNfX148qaBMREVFwHTx4EN///vcBAP/7v/+LK6+8MsQV0WQw4X2KPfLy8pCTkzPq7hM6nQ5ZWVmDBleDweA37UEUxUFD8po1a4ac16zT6VBcXDyq2oiIiCg4bDYbvv3tb0MURZx55pl4/PHHQ10STRIySZKkUBZw6aWX4t133x3ROQaDASUlJSgsLPTb7pkKsWnTJtTV1Xm35+fnQ6/Xo7KyckAPY51Oh02bNqG6utpvW2Vl5ZALhHhYLBZoNBq0t7fzRjsiIqIJ8NBDD+Hxxx+HIAjYvn37gM5WRCcKNK+N+5zi0tJS6PV65ObmoqioCCtXrhz2+NG0T1u9evWQo7/AwJvj8vPzUVtbO+jy0AUFBRAEASUlJcjMzPQG65MFYiIiIpp4t912G2pqanD//fczENO4GteR4h/84Aeoqqrqv7hMhszMTBQXF+OGG24Y9A9vbm4utm3bNl4lTCiOFBMREU08p9MJuTxkM0ApwgSa18b1T1RtbS3MZjPq6upw3333QaPRYP/+/diwYQMyMzOxcOFC3HHHHXjiiSdQWlqKhQsXDjp6S0RERORht9vx0UcfeV8zEFMwjOtI8Zo1a7B582a/bVu3bsWzzz6LV199dcDxWq0WBoMhYkdZOVJMREQUfA888ADKysrw2GOP4ac//Wmoy6EIE5I5xfn5+fjjH//o13t49erVWL16NQBXQDYYDABc/X8924mIiIgG8+qrr6KsrAwAsGjRohBXQ5PZuHef+OUvfwmj0Yjy8vJJP3rKkWIiIqLg2blzJ8466yx0dXXh3nvvxZNPPhnqkigCBZrXgtKSbfv27SgrK4NMJsOmTZvG+/Jhg6GYiIgoOMxmM3Jzc1FfX4/Vq1fjnXfegVIZ1IV4aZIKaSiOFgzFRERE48/hcODKK6/Eu+++i7lz56K2thZpaWmhLosiVEi6TxARERGN1dtvv413330XcXFxeP311xmIaULw5xBEREQUVq666io8//zziI2NPekiYETjhaGYiIiIws66detCXQJFGU6fICIiopAzmUxYt24dWlpaQl0KRSmOFBMREVFIORwO3HjjjdiyZQsOHz6M999/P9QlURTiSDERERGF1AMPPIAtW7YgPj4ev/nNb0JdDkUphmIiIiIKmU2bNqGiogIA8Oc//xmnnnpqiCuiaMVQTERERCGxY8cO3HrrrQCAkpISrFmzJsQVUTRjKCYiIqIJ19bWhmuvvRY9PT249NJL8fjjj4e6JIpyDMVEREQ04cxmM1QqFbRaLV566SUoFIpQl0RRjt0niIiIaMItWLAAn3/+OVpaWpCamhrqcog4UkxEREQT59ChQ97ngiBg4cKFIayGqB9DMREREU0InU6HBQsW4Nlnnw11KUQDMBQTERFR0H3yySe45ZZbYLfbsXv37lCXQzQAQzEREREFVX19Pb71rW+ht7cXV199NX7961+HuiSiARiKiYiIKGhMJhOuuOIKtLa2Ijs7Gy+//DI7TVBYYigmIiKioLBarbj22muxb98+zJkzB//85z+RkJAQ6rKIBsVQTEREREHx8ssv44MPPkBycjLefPNNzJgxY9TXkiTnOFZGNBD7FBMREVFQrFu3Di0tLVi5ciVWrFgR0DmS3Yo+89foa/kSfa070df6Jfpav4LU14GkFbdDOLMUiri0IFdO0UgmSZIU6iIilcVigUajQXt7O5KTk0NdDhERUcSQJAmO7ib0tXzlDb59rV/BZvoacNqHPE8Wkwwh5z4kn/4/kKviJ7BiilSB5jWOFBMREdG42bp1K55++mn89a9/RVJS0oD9ktOOzt0vQvz8F7BbDgx6DblaQEzaKYhJP9X1mHYKHL0mmD96CH0tO2D++KewfPksUs5+GIlLb4FMzhv3aOw4UjwGHCkmIiLqt3v3bpxzzjlob2/HAw88gMcff9y7T5IkdO9/DeaPH4bNvM+1USaHSljoF35j0k+FInE2ZDLZgOtLkhNdX78M88ePwN7hWhlPNWU5Us/7OeLmXTboOUSB5jWG4jFgKCYiInJpamrCWWedhUOHDuHcc8+FXq9HbGwsJElCz2E9zB/9FH3NBgCAPC4NQm4Jkk65HXLVyLtROO296NjxB4if/wJOqxkAEDv7AqSe/wuop2WP6+eiyMdQPAEYiomIiID29nZcdNFF2L59OxYuXIiPP/4YaWlp6D32OcwfPYTeI/8GAMhUidBk3wPN6XdDrh77v5uOXjPat5XD8sUzkBxWAEDCojVIOfcxqDTaMV+fJgeG4gnAUExERNGuu7sbl112GT744AOkp6fj448/xpwUK8wfP4zu+jdcBylikHzqHRByN0ARn462rj78c/dx9NgcmJoYg/QENaYmuR5T4lSQy0c2DcJuOQzzJ4+gc8/fAEiAXIXU88qgyfrR+H9gijgMxROAoZiIiKLdzTffjJdeegnJycnQ/+tlzOvW9YdTmRyJy76LlDMfQl/sTLyx6zhe3n4U7+xths0xePxQyGVIS4hBuvtrapIaaQkxWDI1EbedMQexqqFvqrO27ID5wwfRc2gLIFdhTlEDFLGpQfrkFCkYiicAQzEREUW7HTt24LrrrsMzGy7Ckr5XAKcNABC/4Dokn/kw/tOWhpe3H8Xfdx5Dp9XhPe+0mcmYnxqPlk4rmjv70NLVB7HHNux7FZ46Ay9/J/ukI8lH/5aLvpYdmHLRb5F8WvHYPyRFNLZkIyIioqBbvmAa3v95JpxNLwIAYjMuxtHMDfj1wanY/EwDmjvrvcfOT43HjafPwk2nz8Ky6QPbtfXZnWjt6kNzpxUtnsfOPhxt78XTHxpR/eUxLK3Zh0cuXTxsTYlLvwNTyw507vkrQzEFLKJDsSiKKCkpgSAIKC8vH/H5hYWFSE1NRXFxMbKysiCKImpra1FZWYnS0lJkZWUFoWoiIqLI9vjjj2PVqlXImedEy9u3wNndBCgT8O/0h/D4vpUwftIFwNWDOC0hBmtOm4mbsmbh7Lkpw7ZNi1HKMVMTi5ma2AH7lk5LxO2bd+Cxmn1YMjUR3z591pDXSVi8FqYP7oe16TPYzPugSlk05s9Mk19EhuKSkhIYjUbk5uZCr9cjLy9vVNcRRRE6nQ5VVVXebYIgoLq6moGYiIhoEE888QQeeughxKlV0JfKMEMjoSNuIW45+mN8dXA6gG4kxChw7YrpuOn0WchblA6VQj7m9/3+GXOw53gnnvxPPb6/6Qtop8TjjDkpgx6rTJiOuLmXoOfg2+jc8zeknPPomN+fJr+IDMW+o8KbNm0a9XWysrJQUlICg8HVN1Gr1aKgoGDM9REREU1Gzz33HO677z4AwF15DszQKPAf2WX44f7voldS44wMAXev0uJby6YhQT3+EeMXVy7F3uZO/GvPcVz75234/O7zMVuIG/TYxKU3u0PxSxDOfhgy2diDOU1uERmKx1NeXt6oR5qJiIiihU6nQ1FREQCg6GI51ucnoNR0GzZ3XYwktRK/vGIJfnD2PChG2E5tJBRyGf52cxbO/d2H2NnUgWv+/Dn++8NzBw3g8ZlXQxaTDHvHIfQe/RBxs1cFrS6aHPhtExEREQ3r3XffxU03fhtOpxM3ni3HTVfMwdXHfo7NXRfjmuXTsOu+C3HnufODGog9kmKVeOP7ZyA9IQbbj1qw7pXtcDoHNtKSK+OQsPAGAHC3iCMaHkMxERERDcnw+Qe47porYbM7cOVKGXKvWIWrmsrREb8Ir67Lwd9vPWPIKQzBMi81Hq99LxcxCjle+6oJP3t376DHJS79DgCg6xsdnPaeiSyRIlDUT58wGo3Q6/Xe1/X19SgtLYUgCKErioiIKAxYm7YhyXArVi12ortPjsQri/G/7ZfhB2fPx88vXwJNnCpktZ07PxVVhafie698gZ9v/QZLpyXi5qzZfsfEzjoXyuR5sFsOorv+DSQuXhuiaikSRHUoNhqNMBgM3jlSAGAwGJCdnY26urqAg7HFYvF7rVaroVarx7NUIiKiCSM5HWivexLmTx6F0mnDfTfNwv+0/AhmTS4+KDwV58wLj1XivpuTgT3NnSh/bz9u37wD2tR4nO1Tm0wmR+LSmyB+9nN07vkbQ3GUsFqtsFqt3tcn5rShRPX0ierq6gHdJrKyspCVlYX169cHfJ2MjAxoNBrvV1lZ2XiXSkRENCFs7Qfw36fOxgMPlEJy9OGt7rOx1vwkbrrsGtTds2rQQCxJEra3HUXV3k+x+cAXeP/Yfuw0H8Pxng7YnY5B3mX8PH7ZEly7Yjqsdieue34bDpm6/fYnLrkZANBzaAvsXU1BrYXCQ1lZmV8uy8jICOi8qB4pHkp+fj6KiwNfAaehocFv2UCOEhMRUaSRJAmdu1/Epy//CDc93Y7WDuAD59mYcv3j+Oj2lVg8NXHAOcaONrxcvx0vGw3Y09485LVTYuKQHpuI9NgEpMUmIi02AemxCbh+7qnITps95HmBkMtl+MuNp+P8Zz7CjkYLrvnzNnx417lIdHekUKUshHrGWbAe+xRde1+BJuvHY3o/Cn+lpaW49957va8tFktAwZiheBCpqa7vgg0GQ0CLeCQnJw+7ljYREVE4c/S0onXrD7Hjw7/jpmfsaOsEVFNn41t3PonHrj3Dr6tEc08Hqg/swEvG7fi05ZB3u1qhxPnTtLA6bGjp7UJLbydM1h5IkGDu64G5rwf7LC1+7/vrXf/FO5esx6rpmWOqP1Ht6khxxm8+wJfHLPjOSwa8ti4XcnfdiUu/A+uxT9G5+68MxVFgtNNYozYUFxcXD7k8tGcusclkmuCqiIiIJlb3gXfQWlOEPfXHcPPv3YF4uhav/esdXJW9EADQYevFPw7vwkv1Bugbv4FDcgIA5DIZLp6xEDdqT8d1c1dAE+PfhcLhdMLU142W3k5vUG7t7UJrbxe2Nn6D/x434tqtf8Z/Lr8Tp6TOGNPnyBDi8Pr3cnHhHz7GG7uO4+Ete/H/LlsCAEhYVIC2/9yLvtYvYW3ZAXX6aWN6L5qcojYUb968echFO4xGIwAgJydnIksiIiKaME5bN0wf3I+OL5/F3mMSvv2ME+1dQPKcxaj94H0syJiOd458jb/sr8Ubh3ehx2HznpubloGbtFkonH8aZsQP/ZNShVzunjYxcOrFvSsuwGXvVuGj5oO4omYjPrzyLsxNHNsNfGfOTUFV4alY9/IXePqDA3j0ksWQy2VQxKYifv6V6N7/d3TueYmhmAYVtTfaFRUVobq6etB9NTU10Gq1bMtGRESTkrWpFo0v5aLjy2fR0yeh8A9KtHc5MWvhchgNH8GeLMelW6pwZc0fsenAF+hx2LAwOQ0Pr7wEe64vwadX340fLT9/2EB8MvHKGLye930sE6ahsduCy7dsRGtv15g/240rZyFepUCH1Y59rZ3e7d6exV+/DMlpH/P70OQz6UOxKIp+fYg9cnNzYTAYBj1ep9MNOq2CiIgokklOO8yfPY7GzatgM3+D445UFLc/jISr7sPyldn48L9b8Iv6j7Hy9SextfEbqBVK3LX0PHx29d3Yc30Jfnb6JVikSR+3elLV8Xj7kvXISBCwt70FV9f8EV0268lPHIZSIcfps1xhfVuD6N0eP+9SyOPS4OhuQs/hrWN6D5qcIj4Ui6I47NzfwsJC5Ofno6qqym97QUEBKisrBwTj1atXo6ioaECrNiIiokjWc0iPxpfOhPjJo4DTjn91nY3Lm36F2Usvx9d/fAj3vfJ7nPvvjfjVrv/ALjnxrTnLsfO6+/Cbs65FTloGZLLgLOE8O0HA25esR6o6Hp+3NmDN+y/CNsY2bjkZAgCgtqHdu02miPH2Ke7c89cxXZ8mp4icU1xRUYFt27bBaDR6v/Lz8yEIAtauXesXaPPz81FbWzvo/ODKykpUVFRg06ZN3nBdWlrKQExERJNGX9tumD4oRc/BtwEAHVICfrznavz7X5+j7A/zkX/uNHzrfdfcXgBYmJyGX595DS6fvXTCalwqTMMbed9H/juVeOfo17j9w8348/lrIZeNbuyuPxSLftsTl34Hli+eQff+f8BptUCuZuco6ieTJEkKdRGRymKxQKPRoL29nS3ZiIgorDi6m2H+5DF07HwOkBxwQIG/dFyGp+rPQHf1L+DotiBz9Tk49J1z4JQkJChj8NBpebh7+SqoFaEZM3uzYTeu2/o8HJIT/7viQpTnXjWq6+xt7sTSivcRq5TD8vjlUCpc4VqSJBx98TTYTF8jLb8KScu/N47VU7gKNK9F/PQJIiIi6ue090D8vBwNzy9Fx1dVgOTAlp4zcUnTUyirvwi218rh6LZAqZ0J43WnwylJ+Lb2dOy5vgQbTr04ZIEYAK7MWIaqcwsBAE/s/Dd+vfM/o7rOwrQEJMcq0Wt3YtfxDu92mUzmXeGuczenUJA/hmIiIqJJQJKc6Pz6ZRx54RSYP/4ppL4O7LEvwLebH8MdbRswAzLEvPYQejvagfnT4bj3epwycx7eu/wO/O2CmzErQRPqjwAA+N7CXJRlXwEA+N9t/8Tf6gfeFH8ycrkM2bNcn8d3XjEAJC65EYAMvUf/C1v7wbGWS5MIQzEREVGE6z36ERpfOQ8t76yDo+MwWqV03Gv6Ea5uKkOncCZ+ukDE50/9D7o7OoCFsyCU3oynL1qLumvuwQVjXE0uGO475SLcvex8AMD3P3gF7x7dO+JreOYVbzthXrEyeQ5iMy4EAHTtfXksZdIkE5E32hERERFgbd4O8bOfo7v+H67XiMdv26/FnzquQlxcIn59zSKcvUiJC875LuzWPuBULdZUPIjfrirE1LikEFc/NJlMhifOuBrHezvxinE7Ct97AVsv+wFy0+cEfA1PKK47Ig7Yl7j0ZvQ2vI/OPX+FJvf+oHXWoMjCkWIiIqIIIkkSeg7pcey1y9H40pnorv8HnJBjc/clWNX4NCo7b8CtZy/C7g2r0K05gPPfeQa9d12JuCvPxsu6Tdh06ffDOhB7yGVy/Pm8tcibuQhd9j5cVfMcjnSJAZ+f6w7FXx6zwGr3b/GWsOA6yJTxsJm/gbVp2zhWTZGMoZiIiCgCSE47OvduQuNLZ6Lp71eg9/BWOKHAu30X4oqmJ1FqKsYp8xfAcM8F+NHqacivfAgP1r0Nm9OBa049Eweq38W3Fw5sTxrOYhRK6C7+Lk5JmYFWaxd0B78M+Ny5KXGYEq+CzSHhy8YOv33ymCTEL7gWAHsWUz+GYiIiojDmtPfAsuNZHHlhBVrevgV9LV/AJovDK71X44Jjv8MPm/8H9uQl0K3LwZbiM/Fe23acUnA5dt73a8R+/g3+fP638drF38O0CBgdHkySKhbXzl0BANhlbgr4PJlM5h0tPnFeMQAkeZZ93rcZkn1sq+jR5MA5xURERGHI0WuCZccfYPni93D2tAAAeuQC/mS5HH+yXArRmYQFaQmouigTt2TPxrGeduT96/f49+PPAJ/vBWQyPLh4Fb67ILJGhwezTJgGANgtHh/RedkZAt7Z24LaQeYVx2ZcBEXCTDi6GtF98G0kuEeOKXoxFBMREYURW7sRlu3PoGPXnyDZugAAomImfmu6Aq90XoxeSY2VM5Nx/8ULccOpMyCXAc998znu/a8OHb/RATsPQq5U4K9/eRE33nhjiD/N+PANxZIkBXxjXO4wN9vJ5AokLrkR7XVPonPPXxmKiaGYiIgo1CS7FV31/0DHzj+ht+E97/ZGxUL8suVKvNl9DhxQYJU2FfdfvBCXLk6HTCbDvvYW/Piz1/HO3i8g/ebvQP0xxMXH47VXX8Vll10Wwk80vhYlp0Mpk8Ni68WRrnZkJAoBnZcz23XcrqYOdFntSFD7x57EpTejve5JdB94G46eViji0sa5cookDMVEREQh0te2Gx07/4zOPX+Fs7cNACBBhq8VOShvuhQfWFcCkOHKpVNx/8ULce78VABAa28XHvtiCyq//gS2XitQsRk40oqUlBS8+eabOPvss0P3oYIgRqHEwuQ07Glvxu724wGH4pmaWMxIVuOYxYovGi3eXz/vddNWICZ9JfpavkD3wXe884wpOjEUExERTSCnrQtd+15Fx87nYD32iXd7t3IaXu25GBtbV+GoYyrkMuDG02eh5KIFOHVmMgCg127Db/d8iJ/v2AqLrRcAcNWCUzGjEPjnK9XYsmULVqxYEZLPFWzLUqa7QrG5CZfOWhzwebkZAt7YdRzbGsQBoRgAYtJPRV/LF3B0No5nuRSBGIqJiIgmgLV5Ozq+eg6de1+B1GcBAEgyBXYqzsFvj5+Pf/eshAMKaGKV+OGZs3HPKi0y0xIAAE7JiU0HduDBurdwqNMMAFgpzMAvz/wWLp65ENJqCf/v/gcxderUkH2+YFsuTMOrAHaN9Ga72a5QPNi8YgBQxKUDABzdLWOskCIdQzEREVGQ2MR6dH3zKrr2VaOvZYd3u0U1G690rsaf2s5HizMFAHDe/FTcfuYcFJw6A/Ex/f88f9BkxH3b/oltrQ0AgFnxGlxywIb9L/wT57xzJwBX+7HJHIgBYKn3ZrvA27IBGLYtGwAo4t2huIehONoxFBMREY0jm/kbVxD+5lW/IOyUxcCgWIWnjp2HT63LIUGOKfEq/DgnA7efMQfLpvv3Ef6mvQX3176J1w/vBAAkKtW4b8UFaN+0FU+UVwAA/vjHP+Kuu+6auA8XQsuF6QBG3oEiJ0MDANjX0oX2Hhs0cSq//XL3SLGTI8VRj6GYiIhojGzmfe4R4VfR19q/6pokU+BQTA5eNudCJ+ZAdLqC70WZU7D+rLm47pTpUCsVftdq6e3E41/o8YevP4ZdckIuk+H2RWdiw+Lzcf8Pf4TNmzcDAB566CH88Ic/nLgPGWILk9OglMnRYbOOqANFWoIa81LicNDcg7oj7bh4oX+HCe/0CY4URz2GYiIiolEYLggfVOfiFVMuXhWzYHa6bpKbmhiDDblzcNsZGViYnjjgevvaW/DUrv/ihf3b0OuwAwAun70E5TlXId0mxzVXXYNPP/0UKpUKGzduxLp16ybmg4aJGIUSizTp2C0exy6xKeBQDAA5GQIOmntQe0QcGIo5fYLcGIqJiIgCINmt6G38EN0H30XPgbdhM+/t3zdEEE6JU+F7K6ZjzWkzsXphGlQK+YDrfnz8IJ7Y+W+8cXgXJEgAgJy02Xg8+wrkzVyEr7/+GmddcQUOHDiAlJQUvPbaa7jwwgsn5DOHm6XCNOwWj2O32ITLZi8J+LycDAG6L4+hdpB5xb4jxSOZlkGTD0MxERHREOyWw64QfPAd9DS8511hDgAkmRIH1bl42R2EPVMjfIPwxQvSEKMcGIQdTif+cXgXfrXz3/ik5ZB3+5UZS/GTFRdi1TStN5wplUpYLBZkZmbizTffxOLFgbcjm2xG24HCs4jHYKFY7h4phqMPUp8FMrVmbEVSxGIoJiIicpMcNvQ2foyeg2+j++C7sLXt8ttvVaXjK/kZqG5djnctK9AhuVqmCe4gXHjqDKxemD5oEAaAbnsfXthfi6d2/hf7O1oBADFyBb6TmY17V1zg7bDga8GCBXj33Xcxd+5cpKVF94pryzw325lH1oEie7Yr6B4096C1y4q0BLV3n1wZB5kqEZKtE46eFsgZiqMWQzEREUUtyelAX+tX6D36AXqP/Bc9De97ewgDgAQ5mmNPxdaelXi5eTn22OZBgivwpsSp8L3l01F42vBBGHDdPPf7PR/h93s+RqvVNdqcEhOHO5acgzuXnovp8cneY51OJ37605/i/PPP9y7VnJ2dHYyPH3GWp3jasjWPaKqDJk6FRekJ2NfShdqGdly2xL99nSIuHXZbJxzdrVAJC8a9booMDMVERBQ1JKcdfc1foPfof9Fz5L+wNn4Mp1X0O6ZPmYqv5GeiunUZtnScgnapv1Va9mwNLlsyFZctnooz5whQDjJH2MPudGDL0X14Yf82vHF4F/qcDgDAvMQU3LP8Aty6MBcJKrXfOR0dHVi3bh3+/ve/Izk5Gfv370d6evr4/QJEuIXJ6VDK5Oi0W9HQJWJOYkrA5+bMFlyh+Ig4MBTHp8NuOQBHT/N4l0wRhKGYiIgmLcnRB+vxOvQe+a9rNLjxY0i2Tr9jHIoEHFadhg+6luC11sXYadN6R4OnxKtw4+KpuGxJOi5dNBVTk9SDvY2fXeYm/GV/Lf5aX4emng7v9ty0DNy74gJcP/cUKOWKAeft3bsX1157Lb7++mvExMTgd7/7HQPxCVRyhV8HihGF4gwBL20/Ovi84jjXtBRnT+t4lUoRiKGYiIgmBUmSYO84jL6mbbAer0Vv0+foO14Hyd7jd5xNkYwDytPw784leMu0ALtt8+GAK6TKZMAZcwTvaHBOhgCF/OQ/ojdZu7HJuB0v7K/1rjwHAGnqBNycmYXvLsjByimzhjz/H//4B2655RZ0dHRg1qxZePXVV3HmmWeO8ldiclvm6UBhPo7LZy8N+DzPIh61De0D9iniXSPHjm6OFEczhmIiIopIjl4zrMdrYW3aBmvT57Aer4VzkFDTp0zBN/LTsNWyGFvaF2KvbQ6cPiF45axknDd/ClZpU3FB5hS/m7CGM9T0CKVMjiszlmHdghxcPnsJYhRD/1MrSRIeeeQRPPbYYwCA888/H9XV1Zg2beANd+SyXJgOHb7ErhEu93z6TA3kMqDR0ovG9l7M1MR69yncI8UOjhRHNYZiIiIKe45eM/pavkRf65feIGwX9w84TpIp0RqzELvsC/G+OA+fdmlRb5/lnQ6hUshw1jzBG4LPmZcK4YRlf4etw+nEx80H8dqhr1B9YAeO9fTflHda6kx8b0Eubsw8HemxAxfnGIxMJkNLi2vRiB/96Ed44oknoFIFXk80Wua+2W7PCNuyJaiVWDYtCTubOlB7RMS3NNO9+7y9ijlSHNUYiomIKGxITgds4n70tX7pDsFfoa/1Kzg6GgY93qKag73SYnxomYePOudjd988WNE/0hunkuOiBak4X5uKVdopOHOOgPiYkf3TZ3c68O+merx28Cu8fngnjvvMEw50esRwnnrqKVx++eW4+uqrR3V+tFnuacs2wg4UgGte8c6mDmxrEPGt5f2hWO5d1Y4jxdGMoZiIiCacJElwdB+HzfQ1bG27YW39EraWr9DXtguSvXvQczpUs3BI0mJb11z8xzIPX9kWeBfMAAClXIZTZiUhJ0NArvtr+bSkYTtEDKXPYYe+8Ru8dugrvHF4J9qs/TUJMXG4OmMZrp93Ki6btXjY6RGDqa6uxt/+9jfodDoolUrExMQwEI/AguQ0qOQKdNqtONxlxtzE1IDPzZkt4PltDag74WY7z0jxYNNvKHowFBMRUdBITjvs7QfQZ/oaNvNeVwg2uR6dfQNveAIAuywWx5WZ2GObi88ss/Bl7xx8bZuLTvdCGYBrLvCS9ER8K0NAjvtr5cxkxKoGdnUIVI/dhneP7sVrh77EPw/vhsXW692Xpk7ANXNX4IZ5p+Ki6ZkjDsIAYLfb8eCDD6KiogIA8Nxzz6G4uHjU9UYrlVyBRclp2CUexy7z8RGF4twMAQCwrUH0G2X23mjHkeKoxlBMRERjIklOODobYWs3wt5+ALb2elfwNe+FTdwPOPoGPw9yiMqZOOzMwPau2ajrzsAe2zwcsk/33ggHALFKOVbMSsKKGck4ZUYSTp+pQdZsDZJjxzb3VpIkfN3ejC1H9+Ldo3vx3yYjehw27/4Zccm4bu4KXD/vVJw/bf6gbdQC1draihtvvBF6vR4AsGHDBtx2221jqj+aLROmY5d4HHvE47giI/AOFKfOTIJKIUNbtw2HzD2YlxoPwPdGu5YRT8mgyYOhmIiITkqyW2GzHIS93egKv6IRtvZ62NuNsLcfhOToHfJcuywWx+UZ2G+bja+6puHrvlmot83CQfsM9CHGe5xMBiyYkoBrZyRhxXRXAD5lRjIypyQE1BYtECZrN7Y2foMtR/eipnEfGrpEv/1zEgRcP+9UXD/3FJw9dS7kspFPvTjRZ599hrVr1+LQoUOIj4/Hn//8Z6xZs2bM141my1OmofogRtyBQq1U4NQZyag70o7aBtEbiuXu6RNw2uC0tkMRK4xvwRQRGIqJiAiOXhGOjsOwdzTA3nEYdovP844GODobAUhDnu+EAmb5dBx1Tsc31qnY0zMNRvss7LfNRqMjzdv9AXB1gFgwJQGXpydgUXoiFk9NxCnTk7FsWiIS1OP7z5Ld6cBnLYdR07gPW47uxbbWBjil/s+hVihx/jQtLp21CPkzF2NFyvRxHSV84YUXcPvtt8NutyMzMxN///vfccopp4zb9aPVUsGz3PPIOlAAQPZsAXVH2rGtQUTBaTMBAHJlLGQxSZD6OuDsaWEojlIMxUREk5gkSXD2tsHR2Qh71zE4uo7B3tnoet15BHbLIdg7GiD1WU56rT5ZHJowAwdt07CvJx0H7dPRYJ+Gw/bpaHSkwX7CPykzk2OxeFYCrkxPxOKpCVicnohF6YmYlxI3qpvfAmF3OrC97Sj+22TEf48b8cFxI9r7/EexlwvTkD9rMS6ZtRirpmkRpwxeC7Tc3FyoVCpcf/31qKqqgkajCdp7RZP+DhTH4ZScIxrRz80QUPXpIdQd8Z/TrohLh72vA46eFqhSFo5rvRQZGIqJiCKQZLfC0dMMR3cLHN3H+x+7jsHeeRSOrmNwdB6DvfvYkHN6T9QJDY5L6ThsS8NB6xQ0OtLQ6EjHUXs6Gh1paHNqAPSPosap5JiXEo8VqfG4eko85qf2f2VOSUBSbPD/ibE67NjW2oAPmoz4T1M9Pmk+hE671e+YVHU88mYuwiWzFiF/5iLMThCCWlNDQwMyMjIAAMuWLcP27duxaNEizlMdR54OFF32PhzuFDEvaQQdKDwr2x0R4XRKkLun5iji0mFvN8LR3RKUmin8MRQTEYUBp63bNaLb0+b/2N0CR3ezXwB2drcM2blhKO0Q0OJIRaNdwDF7CpodKTjmSEOjPQ1HHek45khDjxTrd06iWoEMTRwyhDjkCLGYnxoPrU/wnZaknvCg123vw6fNh1yjwE1GfNpyCL0Ou98xKTFxOG+aFqumz8f507TImjIbCnlwRqZ92e12PPLII6ioqMD777+Pc889FwCwePHioL93tFHJFVicnI6dYhN2i8dHFIqXTUtCrFIOS68d+9u6sCjdtdCKIr7/ZjuKThEdikVRRElJCQRBQHl5+aiuodfrUVNTg8zMTIiiCMB1VzAR0UhJTgecfRY4rWY4re1wWkU4e/ufO6xmOHtFOHta4eg1+YVfyd4z4vezQwFREtDi0KDFnow2hwZNjlQ0O1Jx3JmC444pOO5IQatDgA3+UwSSY5WYlRyL2UIsLhDiMFsThwwh1v0Yh9maWGhGsNJbMPQ57PjSfAy1rQ2oaz2C2tYG7BKPwyE5/Y6bGpuI86drsWqaFquma7EiZfq43CA3EocPH8ZNN92Ejz76CADw7rvvekMxBceylOnuUNw0og4UKoUcp8/S4JNDZmxrEL2hWB7nasvmZCiOWhEZiktKSmA0GpGbmwu9Xo+8vLxRXUen02HTpk2orq72btPr9cjPz0dNTc14lUtEYU5y2OC0dUKydboe+7pc4bbPAqfV4n0u9Vng7Otwv3Y9SlYLnNZ2OKzmgOblDscuKSBKyTA5EmF2JkF0JqHNoUGbMxmtDgFtTg1aHRr3owCLlADf6QwKuQzTEtWYkaLG9CQ1spJiMSPZ9XxGciymJ6m9XyNd1S3Y7E4HdovHsc0dgOvaGvCl6Rj6nI4Bx86K12DVdC1WTc/EqmlaLNakh3Rqwj/+8Q/ceuutMJvNSE5ORlVVFdauXRuyeqLFMsEVYneN5ma7DAGfHDKjtkHEzVmzAfi0ZeP0iagVXn8rBsh3VHjTpk2juoYoili/fj0OHDjgtz0vLw8lJSWoqqpCUVHRmOokorGTnHZI9h5I9l5I9h447T2QHL3u192QbN1w2rsh2Xpcr+3dcNq63c97+p/bOl3P+1zB12nr8obgQOfcBqpHUsPiTEC7Mx4WZ6L7eQI6pARYnAkwO5NcX45k73PRmYROKQ6+ITdGIUdaQgzSE2OQnhCD9EQ1FpzwOt37Wo2UOJV3fmQ4a+3twi6xCbvMTdhpbsKXpkZ8YWr06xHskaqOR/aU2chJy3B/zcaseE1YzM+1Wq2477778Nvf/haA66a6V155BVqtNsSVRYdl3pvtRtaWDQByPfOKfVa261/Ag6E4WkVkKB4PmzdvhlarhSAIA/atXbsWlZWVDMUUdSRJApw2SE4bJEcf4OhzPXf2uV67t7u+rO6vPsBh9R4j2T3Prf1fdivgsMLp6HUda+91B9s+16PPNqc7/Lr29wBO+8kLHyd9khLdUiy6nbHokOLR6YxDp+fRGY8OyfXYKcX57bO4w67FmYgOZzz6fKYqyGWAJlYFTawSQrwKmlgVpiSokBYfg0VxKqTGxyA1XuX+cj2f4n6MUynCIvyNlqWvF7tEV/DdZXbN/dwpNuF4T8egxyerYpE9ZRay0zKQnTYbuWkZmJeYGra/BjqdzhuIf/KTn+DnP/85YmJiTnIWjZexdKDImS0AALYftcDucEKpkHOkmKI3FFdXVyM1dfCJ+VqtFgaDAaIoDhqaKTJJkgRAAiQn4HRAgtP1XHJCcjoAz2vffU4HJMkJSA5A8n3uPsdzvme/09F/rN9zu982SXIATicg2X32+Tw6HZAk30e761yn3ee1ffDXTjskp8393NYfcp02wGEbfL87/MI5cKQunFglFaySCr1SjPtLjR7Pl9P16NoW4/NcjV4pBt3OWHRLseiSYr3Bt9v9vMsZix5J7TfvVi4DktRK71dyrP/zqWolMt2vNbEqCHGeR3cAjnMF4ER1ZAfbk7E67DjQYcL+jlYYLW3Y39GKbyyt2CMeH7Awhq/5ialYnjIdy4XpWJ4yHTlps7EwOW3C5wKPxU033YR///vfuPbaa3HllVeGupyosyB5CmLkCnTbbSPuQLE4PRGJagU6rQ7sae7EKTOSIY/nnOJoF7WhuLa2dsgVhTw/+jIajcjKyprIsobU1/IlLF9Wul64w50Eyf0cgPf5Cdsg+YTBwR+lYfZ5zx9kv+QJmJ7t7ufe7b4hdMDxnm1Ov3O915B8rik5fa7Zf5zkdy33a98vSP7bhll4gIZmlZSwS0rYoIRdUqBPUsEGJayS0vVcUqIP7kdJhT73sZ59VikGVqjQ5w60VikGfe7tfXA/us/zBF3PcZ7wa0UMrJLKbwEIwNUSLF6lQHyMAnEqhfe572OsyrUvPUaBhBglEtUKJMQokKhWuh5jlIO+jo+Z3GF2JLpsVhg7TKjvaEO9pRX7O1pR7w7AhztF1/+fQ5gVr3GH32lYnjIdK4TpWCpMQ6JKPYGfYHwcPnwYDzzwAH73u99BEATIZDJs3Lgx1GVFLaVcgcWaqfjKfAy7xKYRhWK5XIbsWQL+Y2xDbYOIU2Yk+yz13BqskinMRW0oDmQUOJxC8f5DexD3Ff/ynSh2SQ4JMjghh0OSw+n33PMlg1OSw3HCcwfk7ucK1zne1yc8925TwC65jvU+uo+ze67hfm6TlHC4j3NAAYekgM39aPe5lt1nn11Sus/tf+45xhV2Xde1SUrYofSGWs8xvnNcAUAplyFGIUeMUg61Uo4Yhfu1wvPatc+1TYZYlQJqpRxqhRxqlRxxSgUEhRyxKrl3u+eYWKUccSpF/6PK81qBOJW8/1GlgFohj4j5s5FAkiQc7+nwBl9jRyuMHSYYO9pg7GhD0xDTHTwSlWosSJ6CzOQ0LEhKgzZ5CpZopmK5MA0p6vgJ+hTBI0kSXnjhBdx9992wWCyIi4tjGA4TS4Vp+Mp8DLvF47gyY9mIzs3JcIXibQ0ibj1jDhTupZ4dPS2QJInfFEehqA3Fw/GEZZPJFNDxFov/HedqtRpq9fiOghx2zsZb7WvhCSgSZO5xXBkk7zbXa0gy77iNZ//AY2WQJP/t3vN9njsl2cDz3Pud7uAIAE7I+89xXxue557j3aN8rvN8z5H7XM/zHp4g6qlT5j3eCTmcUn+dDndIlSSZN7x6ruuUZN4A66ndN+R6riVB5r3OiSHQQy4D5DIZFHIZ5DK4H2VQyPpfK+Su157nrv2D7JPJoFS4H937Bj7K+1/LZFAoXM89X2q5HMoTtnmurVLIoVK4H+Wu91LJXduU8v59SrkMKneo9RyrcgdczzExCp/ryRlEI5Hd6cCx7g40dIk40i3iaFc7GrpEHOg0wWhpg7GzDd324afOpMTEYUFymjv4ugJwZtIULEhOw9TYxEkbIJqamlBcXIw33ngDAHD22WezbWcYWe5e7nmXeeQ323kW8fCsbOcJxXDa4bSKUMSmjE+RNOGsVius1v5FfE7MaUNhKB4HnpWLPB5++GE88sgj4/oec+eeiuQzHgQAyGSu2Ob5R0jm3uZ6LnPt9752HSfznicbep/P/qHO6z/WFQRPPF5+wnXkPtcY8Nxvm+d6/c9PPEYuk0Eud11bLuuvzxNS5TKZ+8v/Gr77ZDL/4xXua/qe6wm+nmsrZDLvZyYKJ07JCZO1B829HWjp7UJTdweOdoto6GrHkS4RR7td4beppwNOafjpQ3KZDBkJAjKTpmB+0hT3Yyoyk9KgTUqdFCO+I6XT6fCDH/wAbW1tUKlUeOyxx3DfffdBoVAMe57klGDv6oPNYkWfxQpbuxW2jj4kZCQjefEU/l0yjpb53Gw3UrkZAgBgR6MFfXYnYpRqyGKSIfVZ4OhuZiiOYGVlZXj00UdHfB5D8SA8i3gMdSPeiRoaGpCcnOx9Pd6jxACwdFoS/u/yJeN+XSIKH07JCbGvFy29nWjp7UJLbyeaezrR2tuF5t5ONPd2otW9rbm3E63WrpOGXQ+VXIFZ8cmYnSBgdoKAWfHJmJ+Y6g3AcxNTEKPgPwkev//973HnnXcCAE477TT85S9/wamnnurdbzX3oKvBAlt7L/rarScEYCskx+C/L0mZKci4ehHipiVOyOeY7JanuEaK97SPvAPF/NR4pMSpYO6x4asmC7JnC1DET4W9zwJnTysArkQYqUpLS3Hvvfd6X1sslgEDmIPh34DjIDk52S8UE1F0kyQJPQ4bxL4etPf1+j2a+3rQ6g29Xd6Q22LtQmtv14DV2gKREhOHqXGJmBqbiFkJAjLiNa7gm6BBRoKA2fEaTI1LjKjODqG2du1alJWVYd26dfjZz34GlVKFzsPtaN/TivavW9HT1Dn8BWSAKjEGqmQ1VBo1FDFKmHc2o6PejN1Pf46pZ83CjDwtlCFeNTDSZSb1d6A41GnG/KQpAZ8rk8mQk6FBzb5W1DaIrlAclwa7uB+OnuYgVk3BNtpprFEbirVaLYxG46D7PHOJ2YCdKLrYnA502/vQZe+Dpc+KDlsvOmxWWGxWdNj6X7u2uff19cJi6x0Qfu2jCLceyapYpMcmID020f2V4A29abGux/7XCVDJh/9xPp1ce3s7XnnlFRQVFUEmk2HKlCnYtWMnHMesaHxjP9r3tsLe6TPvWgYkzE6GOjUOKo0aqmQ1YpLVUGliXY9JMZAp/L8JmZmvxZG3voG4qwXNHx9B2xfHMesSLdJyZ0HGufqj4t+B4viIQjHgutmuZl8rtjW0o/js/nnFjm52oIhGURuKs7KyvNMkTuQJy+HSeYIoGjicTvQ5HbA5HbBLTtej0znk6z6nAz12G3ocNvQ6bD7P7eixu7d5t9vRbe9Dt92Gbkcfum196HbY0GXrQ7fDFYK77TbYBllSeCzkMhk0qlgIMXHQxHge43wCbwLS3I/psf0hV81pDBPq73//O+666y40NjYiVhaDy0/JR/vXregwmiHZ+7+5kasV0CyaAs3SNGgWpUGZMLJRXnVqHDK/cyos+01o+Nc+9B7vwuHX96Lls6PIuHoRkuZzDutoLPN0oDA34aqRdqBwL+JRd0QEAMjjPR0oOFIcjaL2b978/Hy/5aJ91dfXIy8vb4IrmjwkSUKvw+4dPbPYemFzOiBJgNPdg1iCBKckubtOuF6fuN//Nfofvftc/1jJIXd3dZBDKZNDIRv8tVKugFwmg8PphENywgkJDqfkepSccDjd2yTJ+1wGQCGTe2/E8zxXyOSQw91hAjLIPe/ps99Tg8L7Wu7uVOF6lEHm7e/q+Xze557t7m1OyVWXXXK4Ht2fwe50wi71P3dIrteD/Zq5ruftJO3zfq7fC9/fD6ckwQnnoNvtkqP/fd2PnsDqu8/uDrmuwNkfPHt8nvvu6xvnQDoWcpkMyapYJKnUSFKpkayKRaJKjWT36yRVrM9zNZJj4iDExELjfvSE4ESlmjdVhbGjR4/irrvuwuuvvw4AmJM+G9b/mNFwYK/3mJjUOAhL0qBZmobEeQLkyrFPQUlekIpl/3MGWj47isYaI3qOdWJflQEpp07F7MsXIkaIHfN7RBPPyna7xnCz3c6mDnT32b0jxU72Ko5Kkz4Ui6KI2traASF3zZo1KCkpgdFoHDBNQqfTDRmYQ6Wttwu7xKYBQbI/tAwML55tDsnpE3T6zxmw3Sdg+Qav/sAleV9bHXa023ph6bPCYuuBpc+Kdlsv2vt6YLFZx33EjaKTQiaHSi6HUqZwtZSTK1wt5eQKqGQKxClViFUoEadQIVapQpxChTjPo0KJWJ/X8UoV4pUxiFfGIEEZ433teZ7gsy9GzoU7JjOn04lnn30W999/Pzo6OqCUK3DLmWtx2zk3IzZGjYQ5GghL06BZkobYqQlB+bMgU8gx9ZwMpJw6DY01RrRuOwrzl80Q97RixgXzMG3VHMhVnBYTiGWem+1GEYpnaWIxLUmN4x1W7Gi0YJl3+gRXtYtGER+KRVEctp9wYWEh9Ho9KisrUVRU5N0uCAI2btyIkpISVFdXe7frdDpotVoUFBQEte6R+vD4AVz/3vOhLmNEZJC5R9nUiFEoIfe2b5P5tVlztW/r3ybzOc77CEAuk5/QKs716Bq9dAd4Z39wt5/w2hPq+0dsTxj59Rnh9YwMSxK83zT0jyQ7vSO3Tp/n/dudw74eLaVM7jf6rXSPQitlCr/nntFr+P5auX+NXb8v/ds9v0++I95+LfBk/ds953hCqVImh9L76KrLE1o921RyhTdsxilUSFDFIF7hH0I9z+OUKqjlSr9rMJhSMNzynVvw0ssvAQBWzFyChy67F0vmL8bUczOQljsLqsSYCatFlRiDudctQfqZs9Dwz73oPNiORr0RrXWNWFyUzVHjACwTRt+BQiaTIXuWBm993YwdjRackupZ1Y6hOBpFZCiuqKjAtm3bYDQavV/5+fkQBAFr1671C7T5+fmora1FTk7OgOsUFBRAEASUlJQgMzPTO8e4pqZmoj5KwJJUaizWpHsDpdwnSHrCpt9296NikGAj99veH4Jcwco3cLkDmFzW/9wn7GhUsUiOiUWyKhYan0fP80RVDO92P4FnaojDJxz7hlPAv+e06zWDIdF46GvvRfNHDbhAmYN/xLyOOy+4DTdeXICZF2iRljMjpCOz8TOTsKgoG+Yvj+PIW/vRZ+7FsfcOYO71S0NWU6Tw7UBxsNMM7Qhvtps/xdWD+5DYA8WsqQAYiqOVTJLGMHQV5SwWCzQaDdrb29mSjYgoTG15/W3sfO9LXJic6+0fbEuWsOjyFUg5ZeqALhGh1nlQxN7KOsiUcpxScu6EjlxHqtNffxJfmo/h9dW34uo5y0d07hP/rseGf+3GTafPwnP5cjS+dAYU8dMwp6ghSNXSRAs0r4XX3wRERETjpOHLgyi88Dpcet0VeOjZR9BoakLiPAEL1p2GM+9fjdSV08MuEANAwlwN4mcnQ7I70fLZkVCXExGWpbhuthvNvOI5QhwA4LDYA0W8Z6S4FdIY2ipSZAq/vw2IiIhGSXI40VJ3FI/ceD9OOfNU6P7zOgDg2vOuxsofnIvFxdnQLEkL62lJMpkM085zrb7V8ukROG28cflklmlc84pH04FiToo7FJt7oIhzzSmG5ICz1zxu9VFkiMg5xURERL7sXX1o+bwR777yFspe/xX2NdcDABZnLMTvn3kGF1+dH+IKRyZlxVQc0eyHrd0K047jSMuZGeqSwpqnA8VusWnE53pGio9aeuGAEnK1AKdVhKOnBYq4kc1PpsjGUExERBGrp6kTzR83oG17E1rb21D03I9hc9igSUzGIz97BHfd8z9QKiPvnzpPy7ajb+/H8Q8PY0r2jLAe3Q41T6/iPWLziDtQTE9SQ6WQweaQ0GjphTwuzRWKu1uA1CXBKpnCUOT9TUFERFFNckpo39uK5o8a0L6/zRuAMhbNwQ9vKUa30orHf/440tPTQ1zp2KTlzsSxrQfQe7wLHd+YkLyIo5ZDyUyaArVCiR6HDQc6TMhMTgv4XLlchgwhDsa2bhwWe6CNnwq7uB9OdqCIOgzFREQUEWydfTB90YSWT47AaurBh/s/xa/eexZP3/MEVn/nUiTM1eDXyJ00I6rKOBXScmei+aMGHP/wMEPxMBRyOZZopmKHqRG7xeMjCsWAawqFsa0bh809WBjn6VXMVe2iDUMxERGFLYfVDnF3C0xfHIdlvwlwSjhkOoJfv/8sPvzmUwDA83Wv4JqH1oa40uCYek4Gmj9ugOUbE3qaOhE3PTHUJYWtpcI0bygeaVs2vw4U3lXtmse9RgpvDMVERBRWJIcTlm9MaPuiCe27W+C0uVpjdfZ24sWdr+Iv/34FNrsNKpUKP/7xj/HTn/40xBUHjzo1DsLyqRB3NuP4Rw2YdwMX8xjKcsHTgWLkN9tl+HSgkM9whWInR4qjDkMxERGFnCRJ6DrcDtMXTTB/1Qx7l827Tz0lDjXHP8Tjf6lAm6kNAHDZZZfhqaeewuLFi0NV8oSZdt4ciDubYfqiCbMu0UKVpA51SWFpmftmu93mMfQqNvdAoeVIcbRiKCYiopCQJAm9x7tg+vI4TDuOo8/U492nTFQh9dRpSF05HfGzk/Hxxp1oM7VhyZIlqKiowFVXXTVp5g6fTOJcDRIyktHVYEHLp0cxM18b6pLCkmekeE/7cTicTijkgXegmJsyyPQJjhRHHYZiIiKaMJJTQtcRC8RdLRB3NcPa1h+E5TEKCMvTkbpyOuoOf4Fj9gO4LMM1Evz9738fCQkJWLt2bUS2WBuraefPgfGlnWj57AimXzgXcpUi1CWFHa27A0Wvw46DnSPrQDHHNxTHe0IxR4qjTfT9zUJERBNKcjjRcUB0BeHdLbBZrN59MqUcyQtTkXraNAhL07Fr727c+eNb8Pbbb2Pu3LnYu3cv1Go1lEolbr755hB+itASlqUjRohFn9iLtu1NSD9jVqhLCju+HSh2jbADRYbGFYotvXZ0y10jzhwpjj4MxURENO6cNgcs35gg7nYFYUeP3btPrlZAszgNKSvSkbxoChRqJRoaGvCT4tvxwgsvQJIkKJVKXHXVVbBarVCrOYdWppBj6rkZOPLmN2j+6DDScmZCJo+O6SMjsczbgaIJ3xpBB4oEtRJT4lVo67ah0ZqIRLhutJMkJ2QjWAiEIhtDMRERjZkkSbC29aCj3gTLfhMs+0xw9jm8+5UJKmiWpiNleTqSFqRCrnQFDVEU8YuHf4Hf/OY36O3tBQAUFhbi8ccfx8KFC0PyWcJVWs5MNOqN6G3uhuWbNmgWj6wXbzTwrGy3azQ326XEoa3bhkM98VgOAJITzl4TFHH8dY4WDMVERDQqNosVlnoTOurNsOw3wdZu9duv0qiRsjwdwvKpSJyrgUwxcMRt165dKC8vBwCsWrUKFRUVOPPMMyek/kijiFUiLXcWmj88jOMfNjAUD2KZ+2a73aNoyzY3JR7bj1pwuN2OU9QpcFrNcPS0MBRHEYZiIiIKiL3Hhk6j6A7CJvQ2d/vtlylkSJijQXJmKpIXTUH87KQBHSIsFgu2bduG1atXAwDOPfdc3HXXXbjkkkuiqqPEaE09ZzaaPzqMjv0mdB/rQPyMpFCXFFY8ofjr9uYRd6DI8F3AIz7NFYq7W4BU9oaOFgzFREQ0KHuPDZ0H29F50IwOo4juoxZA8jlABsTPTEJSZiqSM1OQOE+APGbwrgidnZ347W9/iyeeeAI9PT04cOAApk1zBZjf/va3E/BpJgd1ShxSVkyF+atmNH/UgHkFy0JdUljRJk1BrLsDxYFOExaMpAOFOxQ3iD2Qx00FzN/A2dMSrFIpDDEUExERANd0iI6DIjoPiOg8KKLneKd/CAagTo9HcmYKkjJTkaRNgTJeNew1u7q68Mwzz+CXv/wlWltdd/MvXrwYDQ0N3lBMIzPtvDkwf+VZzCMTqmTeiOjh6UDxhakRu8xNIwvF7rZsh8zdUMx1nefoZiiOJgzFRERRSJIk9Jl60OEOwJ0HRFh9Fs/wUKfHI2megMR5ApIyUxCjiQ3o+t3d3fjDH/6A8vJytLS4gsWCBQvw8MMP48Ybb4RCwT67o5UwR4OEuRp0HWpH86dHMOuSzFCXFFaWCdPxhakRu8XjuGbuioDP81vVbulUAICDI8VRhaGYiGiSkyQJNosV3Uc73F8WdDV2wN7R53+gDIibkYSkeRokzk9B4lzNqJcUNpvNePDBB2G1WqHVavGzn/0MN998c1QuvBEM086bA+Ohr9Dy2VHMuHDekNNWotHyFNdPIHaN8GY7z6p2jZZeIHYKAI4URxv+7URENIn4B2ALutxB2N7ZN+BYmUKG+NnJrpHg+QIS5wpQxI7un4W2tjb861//wrp16wAAs2bNwiOPPIKpU6filltugUo1/DQLGhlhWTpiUmLRZ+5F2/ZjSD9zdqhLChtLNZ4OFCNryzY1UY0YhRx9Dic6kQIAnFMcZRiKiYgikMNqR5+5F1Zzj+vR1IPelm50N1pg77QNPEEGxE5NQMKsZMTPSnJ9zUwa83LBDQ0N+NWvfoWqqip0d3dj+fLlyMnJAQDcf//9Y7o2DU0ml2HauXPQ8K99OP5hA9JyZ3ExD7flKa5exXvbm+GUnJAHuPiGXC5DhhCL+rZutDqTMQUcKY42DMVERGFGkiQ4eu2wdfShz9yLPnOPX/jtE3th7xok+HrIZYibmuANvvGzkhE/I3Fcf8S+Z88eVFRU4K9//SvsdtdqdStXrvQuwEHBNyVnBhr1Rlhbu9G+tw3CUvbTBYB5iSmIkSvQ67DjcKeIeUmpAZ87R4hDfVs3jvUluUIxR4qjCkMxEdEEkZwS7N022DqssFn6XI8dnkf3c4vrUbI7T3o9RZwS6pQ4xKTEQp0ah5iUOFcQnj6+AdjX8ePH8YMf/ACvv/66d9tFF12E+++/H/n5+ewzPIEUaiXSzpiJ4/89jOaPGxiK3ZRyBRYkp2G3eBxftzePKBTPTYkH0IbDvQlYAcDR0xq0Oin8MBQTEY2S0+6Eo9sGW1cf7F022H0ebSe8tnfZYO+2DWhxNhxFrBIxQqwr9KbEIiYlzhWCU2OhTokb9fzfsUhJSUFtbS0A4LrrrkNJSQlXoAuhKdmuUNx5SITklDiFwm2xZip2i8ext70Zl81eEvB5Ge6b7YydrkdnTyskpwMyOW9kjAYMxUQUtSRJgmR3wtFrH/Bl77HD0W2DvccGe7cdjh5XqHX02GHvscHRbYPTdvLR3MEoE1RQJamhSoqBKtn9mOTz6N421vm+Y9XT04OXXnoJr776Kt544w0olUrExMTgueeeQ0ZGBpYu5UpfoRY7JQ4yhQySzYk+sRfq1LhQlxQWlmhcLdW+bm8e0Xmetmz7LJ6uKxKcvSYo4tPHszwKUwzFRBRRPEHW2eeEo88Op9UBh9X92Ofz3OqAs8/uenQf4+jxCb5W16PkGMHQ7WBkgDJeBWWCCsqEGO+j6oTXygQVVO5HmSLwpWdD4ejRo/j973+PyspKtLW1AQBee+01rFmzBgBwySWXhLI88iFTyBGbnoCepk70NncxFLstdofife0jmxPsWcDjoGiDPCkVzl4THD3NDMVRgqGYiMaF5HSHVfeXZHfCaXPAaXM9Sjb3vj6H6/HEfe7Xjj6H6xjPl811jsPWv20kUxACInPNz1TEer4UUMSroIxTQRGngjJe6Xoer4IyTunepoIiTgmFWjlpfmT9+eef46mnnkJ1dbX35rm5c+fif/7nfxiEw1hsejx6mjrR09wFzRLOKwaAJRpXiB3tSPEhsRuKqemuUNzdCkwZ9xIpDDEUE4U5SZIAp+QKnQ73l9PpfpQgOYZ4bnfC6Xus3f3ocMLpOc673R1kHU447e7r2N3H2SWf567znDZHf/C192+faDKlHAq1AnK10vUYo3CFW7UCcrUCihil61GtcIVdv+Db/yWPUUyaYDtau3bt8psbfP755+PHP/4xvvWtb3HBjTAXOzUBANDb3BXiSsKHZ6S4qacDorUHgjqwEXTPSHGn1QGn2r2AR8/IgjVFLv5NR67QJXlf9D+4n8Oz2+c47zmS+7nPft9jJd9rOPuP815f8r2W5DrX6X/MgP0SXCFRGvw4ySm5XjtPfA/Jvc89qnni8Z7rOn3OcR8nOfqv6bsdTve1nP3X9772PPcc73C9R/8+nwDre7xj4HUijgyQqxSQKeWQq+SQK+WQxyhcjyoF5Co5ZO5HuffR/TzG/aVSQBGjgDxG7n3t2aeIcV8jzKchhLO2tjZ8/vnnuPzyywEAy5cvx0UXXYQ5c+bg7rvvxumnnx7iCilQDMUDJcfEYmZ8Mhq7LdhracaZ6XMDOi9OpUB6QgxauvrQq0yFCq6b7Sg6MBRHiPa9bThYvWtAWPWQTtzmGyDRf85Q51OEkbma98sUcvfjIM99HuUnvPZuV7rPUcpdAVbhevTu82xTuI7xblPKIfOEXd9tnkeG1bAkSRI+/vhjVFZWorq6GgBw5MgRTJniGhHT6/WQy/l7F2ni3KG4p7kLkiSxLZ7bEs1UNHZb8LUYeCgGXKPFLV19sEBwL+DBkeJowVAcISSHc/hm/eHA8/ewTAaZzPXo2S6TyfweAfT/uNr3eN99Ptt99w+4lme/XNa/b7Dz5f3n+e33nCf3XFMGmdxznsy1X+6zTe673ee93Mf1H+/erjjxnP7zZAq53/HeYz3X8QRd333ubUSBEkURL774IqqqqrBz507v9qysLDQ2NnpDMQNxZFKnxQMywGl1wNbRh5hk9clPigKLNVPx3rH92DvSm+2EONQdaYfJs6odR4qjBkNxhEjKTMGyH7vn+7nDpsz3PzKfXb6jBJ7w6D3Wtd97rudavtcZ5BzfMOt3jm9AJaKw869//Qtr1qxBT08PACAuLg7f/va3UVxcjDPOOIP/704CcqUc6inxsLZ2o7e5i6HYbfEob7bz9Cpu6kvGQnBVu2jCUBwhFGol4qYlhroMIgpzHR0dOH78OBYsWAAAyMnJgc1mw4oVK1BcXIzvfOc7EAQhtEXSuIud2h+KkxcEvoLbZOa52W7vCEPxXHcoPmJ1TUtxdjMUR4uID8V6vR41NTXIzMyEKIoAgA0bNozoGoWFhUhNTUVxcTGysrIgiiJqa2tRWVmJ0tJSZGVlBaFyIqLxIUkStm3bhj/+8Y946aWXcMYZZ+C9994DAEyfPh07d+7EokWLOCo8icVNTUD77lb08GY7L88CHvstrbA5HVAFuCqdpy2bsSseAEeKo0lEh2KdTodNmzZ5bxgBXCE5Pz8fNTU1AV9HFEXodDpUVVV5twmCgOrqagZiIgpbjY2N+Otf/4rnn38ee/bs8W5vampCV1cXEhJcI12LFy8OVYk0QdiBYqDZCRrEK1XotttwoMOERZrAFuCYI7jC8L6OWCABcHCkOGpEbCgWRRHr16/HgQMH/Lbn5eWhpKQEVVVVKCoqCuhaWVlZKCkpgcFgAABotVoUFBSMe81EROPlwQcfxC9+8Qs4na6lpuPi4nD99dejqKgI559/PkeFowxD8UBymRyLk6diu+kovm5vDjwUu6dP7LHEAQmAs9cEyWmHTB6xkYkCFLG/w5s3b4ZWqx10btzatWtRWVkZcCgGXGE6Ly9vHCskIhofkiThs88+Q2ZmJtLTXf+wL1myBE6nE+eddx6+973vobCwEMnJySGulEIlNt0Viu1dNti7+qBMiAlxReFhseAKxa55xcsDOic9IQZqpRxmeyJcd5hLcPa0QZEwLZilUhiI2P471dXVSE0d/GYCrVYLg8HgnWNMRBSJjhw5grKyMixZsgRnn302XnjhBe++G264Afv27cMHH3yA2267jYE4yiliFIgRYgGA84p9jGa5Z7lchjlCHJxQwBGTAoDziqNFxIbi2tpaaLXaQfd5thuNxoksiYhozNra2lBZWYkLL7wQc+bMwQMPPIB9+/YhPj4eHR0d3uPi4+OxcOHCEFZK4YZTKAbydqAQR9aBwjOFwqpwDb4xFEeHiJ0+IYriSdsKGY3GgG+UMxqN0Ov13tf19fUoLS1l6yIimjBWqxXz58/3C7/nn38+br31VhQUFCApKSmE1VG4i52aAMu+NvQ2d4e6lLDh6UDxdXvziFb7y3B3oOiQCYgHb7aLFhEbiofjCbImkymg441GIwwGg98cZIPBgOzsbNTV1Z00GFssFr/XarUaajWbpxPR0Hp7e/HWW2/hk08+wS9/+UsArr87Lr30UtTX1+PGG2/EmjVrMHdu4MvTUnTzXe6ZXBYmp0MGGcx9PWjp7cTUuMC+sfS0ZTNLGkwD4OSqdhHFarXCarV6X5+Y04YyKUPxSPm2dPPIyspCVlYW1q9fP+h+XxkZGX6vH374YTzyyCPjWSIRTQI2mw1bt27Fyy+/jL///e/eEeHbb7/d2zbtxRdfRGxsLCRJgtNmhcNmhVypgkwWsbPdaILETnW1EuttYSj2iFOqMDdRwMFOM75ubw48FLunTzTbkrAEgKNnZNMvKLTKysrw6KOPjvi8SRmKPTfYDXUjXqDy8/NRXFx80uMaGhr8bnLhKDER+TIYDHj66afxxhtvwGw2e7fPmj4VV68+F6Yd76L+wPuw93TC1tMBe08n7D0dkJx277EyhQpyVQzkyhgolDGQK9Xe13JlDOSqGChjE5E0azGSM5ZBGZsQio9KIeSZU2xrt8LRa4cidlL+Ez9iizVTcbDTjL3tLVg1PTOgc/pXtUsEFICjmyPFkaS0tBT33nuv97XFYhkwgDkY/h8zDE+oNhgMw85NTk5O5p3fRAQAkJxOmI4dQkfLUcSiB73mJny6Zau3c0RKYixWr5yHS7K0OHX+VMjlMqDpC5iaTnJdhw0Ohw0OdME2zHHNX74HyGRImKaFZs5yJM9dgcRp8yELcDUvilzKOBWUSTGwd/Sht6ULCRmaUJcUFpZopuLdo3tHtNyzZ/rEge54IIkjxZFmtNNYIzYUa7XaIbtLeOYSD9WdwldxcTEEQUB5efmAfSOdm0xEk58kSXBYu9DXJcLWKcLWJaJXPI6mw/V49/0PseWTL/HpniO4+eLluOPKbADAKVOc+PYFy3DhqXORtWw+YhMEKOOSoIxLhCouCcrYRPfrJKhiE6GM798GAE57H5w2q+vR3genzf1ot3qfO+x96LO0oP3QLvSaj6GrqR5dTfVo/PwNKNTxSJ69FJq5K5A8dwXUSVNC+UtIQRQ3NQEdHX3oaWYo9ljsc7NdoGa7Q/GxPtf/gw7OKY4KERuKs7KyhuxD7AnLgXSe2Lx585CLdniuk5OTM7oiiShiOB122Hs6YO/thK3bAluXK/D2dYmwdbX7PBchOVzTGo6LXfhgZwP+8+Uh1H5zDA6n5L3e/uNdSMnMRmzKdMSmTMfGm12Po5nWoFCpgQDnQgKAtaMNlkO70H54JywNe+CwdsFcXwdzfR0AIDZlOpLnrEBKZhaSZi3ifOVJJDY9AR31Znag8LFEcLdlaw+8g0ScSoGpiTEw2Vw/BXZ2c6Q4GkRsKM7Pzx90dBdwtVMLdHW6oqKiIa9TU1Mz5Kp5RBS+nA47HNZu2K1dcPS6Hu09HbD3dLjn7Hb4zN91fTn6ekb0HrKYeKx7chNMlv7wsXzJIlx37TUo/PbNOOXUU0O21LI6aQrSV6xC+opVkJxOdB0/4ArIh3ehs6keveYm9Jqb0LxDD3VyGqYsPQ9pS8+BOjktJPXS+GGv4oE8bdkOdJjQa7chVqkK6Lw5Qhzamlyj7Rwpjg4RG4rXrFmDkpISGI3GAdMkdDrdgKAriiJqa2sHhOXc3NxB5wyLogidTnfSzhNENL4kSYLksMPR1+P+6oXD2u169N3W1w1HbxfsvV2wW93Pra7XTlvv6N5cJoMyNgmquCSoEgSoEgX0IQaf7KzH1o+3Y/c+Iz7+73uISRAgV6rwrc+6sG/fPlxzzTW4/vrrsWDBgvH9xRgHMrkciTMykTgjE7POvAZ2azcsDbvRfvBLmL6phdXSisbPXkfjZ/9AcsZSpC07DymZWZAruUxwJIrzdKBgKPaaGpsIISYOYl8PvrG04pTUGQGdNzclHsZG90hxrwmSwwaZIrBATZEpYkOxIAj4/+3de3AU170n8G/PQzOjZ2v0Ri80AgkJsI142jjll2QnXHNNEjCu2Df/bECVZPcm5aQke8u1xrXJUrgSV+1WJTHIKccb1+aClOuKr1O+WDJ2YjAWEkMMGCNAI0ACgR6jloQ0M5Jmev+YmUZvCdBMa6a/n/KUerpPt35jSs2Xo9Pn1NTUoLq6ekJwraurg81mw/bt2ye037FjBxoaGrB///4J8xFv374dlZWVqKysnBCMn3jiCezevXvKdYjIz+cdgzw2GhjP6oE8NgqvMt7VA9/YaGAcrH9aMd+I2/91zAPfiAfeUbcy5Zhv1APfqFsJvrLPuyA16mMs0JvjYDDFwmBOgCE2AUbL7fG7wQBssPi/6s2xEAQdLl++jA8++AAffFCLTz75BCMjI8o1v3Z0YM0a/9Kxv//976HTRdbQA4MpFtZl62Bdtg55jzyPvksn0fP1UQx2nMdA+zkMtJ+DPsYCa9FGpJZuRlyGTbUeb7pzwZ5iT58LvlEvdEY+YCkIAoqT0tDYfRXn+7vmHYpzky2QfPGQIUCADK+7F4a4zBBXS2qK2FAM+AOtKIqorq5GYWGhMsa4vr5+StuKigo0NzdPOz54//79eP3113Hw4EFIkgSn04mXX36ZgZgWFVn2QfZ6IfvGIPu8kL1e+HxjkL2Bl88Ln8+rvPd5RwNfxyB7R/3tJ+3zTWg76g+y3lHIYyPwjQX2B/b5vP4AHAzCCxVcZ6Mzmv3BNsYMvSnW/zX4PiYWBnMs9KY4GMxxMJji/AE4uG2y3NWMC/v27cNLL700YZ/NZsPWrVuxdetWrFy58nZ9ERaIJ9MbTUgteQipJQ/B09+Nnq+PoefrYxgZ7EX32U/RffZTmK1LkFqyGakrHoIxjg9uLXaG+BjoLQZ4XWNw9wwjNourIAL+h+0au6/e8QwUPugxJIiIl/vgc3UDDMVRLaJDMQCUl5fPa/xwVVUVqqqqZj1O4SPLMgDZ/5/sAwLvZVkGZN+kr7LS5vb+wDkTjvkg+3z+6/h8446Nu57Pd3ufb/xxHxA45t8ed8znVc7zXzewb8J7H2TZ3w7KscB5Pq+yDXnyPm8g6AbD7qRjk16LkzBxvtxx8+bqDDHQG83QGU3QGU3QG03+oGuMgS6wXz/umD7GAp0Ses0hewBMlmWcPXsWhw8fxuHDh1FdXa3cR9auXQu9Xo/Nmzfj6aefxtatW1FcXBz1vaWmpDRkb9qGJRv/GYMd59F97ij6Lp2E23kdHcdqce34e8h/9HmkrXpE7VJpFoIgwJweh6Er/XDfHGIoDgiOK76Th+2CC3hIciLi0celnjUg4kOxVtzqvIRrX/wFQDA8AsFQGUiW/s3ANhAMngBk37j3geMyION2MPWfHzx33PWCwXPCdX2B7+sLNJUnfg9l2zfpnGCoDXwPukcCBL0Bgk4Pnd4AQa+HoAu+N/qP6Q2BY4Zp9hknHNMZjBAMMbe39UZl+/Z7gz/gjgu/gt4QEYGxp6cH9fX1OHz4MD766CN0dnYqx1atWqWE4kceeQTd3d1ITk5Wq1RVCYIOibmlSMwtxdijw3BePIGerz7D0M02XD7yDlx9ncjd/CyECO8lj2aWYCjmynaKYiUU3/lcxV1jicgxAF4XQ3G0YyiOEKOuQQy0f6V2GeoRhECvoRDYFgBBN/WrLvh+mmOCDtAFrhNsowts63S39yvbAgSdPnCeLrDt3ze+nf+9oGwLej0EQe+/duD88fuE8ft0gf3B7cmvQOgd/16nNwTCL0PJbGRZVsJ6a2srli9ffvsfigAsFgseffRRPPXUU9iyZYuy32g0ajYQT2YwxSJ91aNIW/kIrp94H9cb/4Kbpz6Cu+8mCr+5G/oYi9ol0jSC44pdfNhOsWLcXMXj7w2zCa5q1zkSDxjAnmINYCiOEHFp+Sh4chcEAAj+MAsCAGHcPgGBN4EmgQA5bv/t97evIQTPBQJh8XbbyecLgnD7+wqT28y2rVPaK99vfLgdf86U9gx/NDe3243jx4/jk08+wZEjR7B06VK8++67APxjgrOzs2G1WvHkk0/iqaeewsMPPwyz2axy1ZFBEARkb3wG5uQstNX/Hv2Xv8TXtXuxfOu/chq3Rej2tGycqzioMDEFBkGHobERXBvuR06cOOc5qXExMBt06PX5x9L72FMc9RiKI0RMghWpKx5UuwyiRaWxsRENDQ04cuQIjh07Bo/HoxxraWmBz+eDTuf/B9bXX3+N+Ph4FauNfClFG2BKTMXFD/4PXL0dOHfwF1j+9H9FfNbim4pOyyzBUNwzDNnrg6Bnx4JRp0dhYgpa+rtxvr9rXqFYEATkJVvgdAfmKmZPcdTjTwoRRQSXy4Xm5uYJ+37yk5/glVdewZEjR+DxeJCVlYXvfe97eOutt9DY2DjhV6QMxAsjPtOG0p3/A5bUXIy5BnD+319Hb8sXapdF4xiTTNDF6AGfDHfvnS1KE82UccXSnY0r7vX55yrmmOLox55iIlqU+vr68Pnnn+Ozzz7DZ599hqamJni9XvT19SEx0f+X1Le//W3k5ubisccew+OPP66JWSIWA1OCFSXbX4bjoxpIjlNwHD4Ad18nlmx8hsOdFgFBEGBOi8XwtUG4u4aUnmOtW5GUjvfxFc7fwcN2uckWdHYEV7VjKI52DMVEtKj84Q9/wBtvvIGzZ89OeDAOALKystDW1ob7778fAFBdXa1GiQRAH2PGsn/6MTo+/zNunPwQ10/8B1zOThRU/BfojSa1y9M8c3qcEorJryjJv+jOnUzLli/G4itvYFU7huKox1BMRGHn8Xhgt9tx/PhxfPHFF3jttddQUlICABgeHsaZM2cAAMuXL8c3vvEN5WWzcXW1xUQQdMjdvAPm5ExcOfJ/0XepGSODvVj29H9DzDzGbFLoKOOKGYoV42egmK+8ZIvyoJ13uCckddHiwVBMRCHX29uLhoYGfPHFFzh+/DhOnTo1Yenk8vJyJRRv3boV6enpePjhh5GZydWjIkFa6TdgTkrHpb/+BkM323Du3/4niv75J4hNy1O7NM3itGxTBccUXxvux+CoGwnGuWefyRMtcAbGFPs8fZC9oxD0xpDWSephKCaiBSVJEux2O5YsWYIVK1YAAJqbm/Hcc89NaJeWloYHH3wQmzZtwsMPP6zsz83NRW5ublhrpnuXkF2MkmdfwcX/+N9w93Wi9cPfYdW//C/27KtEmZatexiyT/bP4a5xVlMs0s3x6HLfwoX+HqxNzZnznLxkCyRfPLyyDnrBB6+7B4a4rDBUS2pgKCaiuzY0NIRTp06hqakJzc3NaGpqwsWLFwH4l07ft28fAGDjxo1Yu3YtNm3apARhDoWIPmYxHSU7/ju+fPvncEs3MXSzDfGZNrXL0iRTshmCQQd5zIcRyQ2TlQutAP4hFF3uWzjf3zWvUJyTZIYMHfp8CUjV98M73MVQHMUYioloXoaHh9Hf34+sLP9fCB0dHcjPz4fP55vStqCgAAkJCcp7URSnTKdG0clgjoNY8ACcFxrhvHCCoVglgl4Hc2osXDduwd01xFAcUJyUjr/fdMx7uWezUY/MBBN6fUlI1ffD5+K44mjGUExEU/T29uLUqVM4deoU/vGPf+DUqVNoaWnBtm3b8Oc//xkAkJ2dDVEUYbFYsG7dOqxfvx7r1q3DunXrkJKSovInIDVZizb4Q/HFE8h9+FkuSa4Sc7o/FLu6hpC0gisPAsAK8S4ethMtcLoSASPgHZ7/eRR5GIqJNEyWZUiShOTkZOV9cXGxMgRisvb2dmVbEAS0trZCFMVwlEoRJClvFfSmWIwOSRi8fhGJOcVql6RJ5jTOQDFZcXBatjtZwCPZgt6h4FzF7CmOZgzFRBohSRLOnDmjvE6fPo2zZ89i6dKl+PLLLwH4g25Skv/mX1hYiDVr1mDNmjV44IEHsGbNmimzQTAQ03R0BiOSC8vQc+4onBcaGYpVYslgKJ4sOAPFhYFueH0+6OfxW4xc0QLn1cCqduwpjmoMxURRxuPx4OrVq1i+fLmyr7y8HB9//PG07S9duoTR0VEYjf5phv70pz8hPT1dWTWO6G5Yizai59xR9F1qRt4j34NOz79uwi3YU+zqGoIsy3ywFUB+XDJMegM83jFcvuVEYeLcw0ryki1oVRbwYE9xNONdiihCuVwutLS04Ny5cxNely5dgslkwuDgIHSBXpDUVP+NPzc3F6tXr8Z9992H1atXY/Xq1SguLlYCMQAsW7ZMlc9D0SUxZwUMlkSMuQYw0H4O4tL71C5Jc0ypsYBOgM/jxeiABzFJc8/LG+30Oh2KEtNwpq8TLf3d8wrF+ckWnFAW8GBPcTRjKCZa5AYGBtDS0oLz58/jhRdeUHp7nn/+ebz33nvTnmM0GtHZ2Yns7GwAwK9//Wu8+eabHO5AYSPo9LAuX4+u0x/DeeEEQ7EKdAYdTCkWeLqH4e4eZigOKE4KhuIubMktmbP9+AU8OKY4ujEUEy0iTU1N+Pvf/44LFy6gpaUFLS0tuHHjhnL88ccfV4JuSUkJ/va3v2HlypUoKSlBaWkpSktLUVJSguzs7Am/Kg2eQxRO1qIN6Dr9Mfpa7fCNjUBniFG7JM2xpMX5Q/HNISQus6pdzqJwp8s95yVb0Ov19xSPDXeHrC5SH0MxUZj4fD50dnbi0qVLuHjxohJ8a2pqkJ7uv0kfOnQIv/rVr6acm5mZidLSUty6dUvZt2fPHvziF7/gOEFatOKzChETb8XILSeky2dgXbZW7ZI0x5weB5zrhqubD9sFBR+2m+9cxSmxMRjWiQCAMQ6fiGoMxUQLyOv1oqOjAxkZGTCb/b+qfPvtt/HGG2+gtbUVLpdryjk/+9nPlFC8efNmXL16FcXFxSgqKlK+BmeEGG/8OGCixUgQdLAWbcAN+3/CeaGRoVgF5vRYAJyBYrw77SkWBAGxif6Zd4TRAcjeEQh6/tYjGjEUE92Fjo4ONDU1oa2tDQ6HQ/nqcDgwMjKCY8eO4aGHHgLgnw3i7NmzAAC9Xo+lS5di2bJlSui12W6v+LVt2zZs27ZNjY9EFBLWoo24Yf9PSG1fwjvigj6GK6uFkyWd07JNVhSYq7jbPYRe9xBSzHFznpOSlIaxYR0Mgg9eVzcM8RySFo0YiokmGR4extWrV3HlyhW0tbUpgfeVV17B/fffDwB4//338eMf/3ja841G44RxwFu2bMGHH36IZcuWIT8/nz28pCmxaXkwixlwSzchOf6BlBUPql2SppgC07KNDY1i9NYIjPHs4Yw3mpAbJ6J9SEJLfzcemkcozrHGoe9WItL0ErzDDMXRiqGYNCW4gtuVK1dw5coVrFu3TnkIra6uDj/60Y/Q3T39gxTPPPOMEopLSkqwYcMGFBQUwGazoaCgAAUFBVi+fDlycnKg1+uV8/Ly8pCXlxf6D0e0CAmCAGvRRlw/8T56LzQyFIeZPkaPmGQzRvrccHcPMRQHFCWloX1Iwvn+LjyUsXTO9nmiBb1tgVDs4sN20YqhmKLK0NAQdDodLBb/r2jtdjt+97vfob29XXkNDg4q7d999108//zzAIDY2FglEMfHxyM/P18JuzabDevXr1fOe+yxx9DY2BjGT0YUuaxFG3D9xPsYuPoVxty3YDDHq12SppjT4vyhuGsICQXJapezKKxISsfH1y/iwnxnoBAtcAbmKvYxFEcthmKKOO3t7Th8+DCuX7+Oa9euoaOjQwm8kiThj3/8I1544QUAwI0bN/DWW29NuUZaWhry8/OV8Az4H3Kz2+3Iz89HcnIyZ3UgWiAW6xJYUnPh6mlH36WTSFv1iNolaYolIw4DF3o5rnic2w/bzS/g5idbcDo4VzGnZYtaDMW0KPT19eHUqVPo7OxEZ2cnrl27hmvXrinBd+/evXjuuecAAGfOnMGuXbtmvFZnZ6eyvXr1auzZswe5ubnKKy8vD7GxsVPOS0pKwpo1axb+wxERUoo2oqOnHb0XTjAUh9nt5Z6HVa5k8bjTadnyki341Btc1Y6hOFoxFFPIDA4O4vz58+jq6lLC7o0bN5Ttn//85/jud78LAGhsbMS3vvWtGa91+fJlZbuwsBBbtmzBkiVLkJ2djZycHCXw5uTkIDExUWmbm5uLV199NWSfkYjmx1q0AR2f12Gw4zxGhiTExIlql6QZZs5AMUWwp7h1sBcj3jHE6GePQ9lJZvTK/lA8NHgTXAYlOjEU0x0ZGBjAV199hZs3b055dXV14ac//Sm+853vAACOHz+Op556asZrXbx4UdnOyclBSUkJMjMzkZWVhezsbCX0ZmdnY/ny5Urb4uJi/PWvfw3dhySiBWdKTEVcZiGGbrSi72ITMh6oULskzQjOVTw64IHXPQa9mX/1L4lNRLzBhFtjHrQO9qJEzJi1vcmgh9foj8LDAzfDUSKpgD8ZhO7ubhw9ehTd3d1TXl1dXXjppZeUoQuNjY148sknZ7zW+N7erKws5OTkID09XQm7wVdmZiYeeOABpe2qVatw7ty5kH1GIlJfStEGDN1oRe+FEwzFYWSwGGFMiMHo4AjcXUOIy5u6GJDWCIKAFWIamns6cL6/a85QDAD62HRABka4ql3UYiiOAsPDw3A6nUhISFBWPmtra8OhQ4fQ09ODnp4e9Pb2Kts9PT14/fXX8YMf/AAAcPr0aaV3dzptbW3KdlZWFgoKCpCeno6MjAxkZGRM2C4rK1Parl69Gu3t7SH61EQUaZKXr8fVz/4NQzda4envhimwiAKFnjk9DqODI3B1MxQHFSelo7mnY97jimMTMoABAO6e0BZGqmEojiAnT57EL3/5SzidTvT29sLpdMLpdMLtdgMA3nzzTVRWVgLwB9mXXnppxmuNn4s3OzsbmzZtQmpqKtLT05GWljbhtXLlSqXtqlWr4HA4QvQJiSiaxcSJSMhegcGOr+G8eAJZ6/5J7ZI0w5weh8HWPo4rHkeZgUKaXyhOTMoEBgDjiDOUZZGKGIojSH9/P957771pjxkMBrhcLuX90qVL8f3vfx9paWlISUlBamqq8kpJSUFOTo7SdsWKFTh+/HjI6yciSinagMGOr9F7gaE4nIIzULg5A4UiuNzzfHuKU1KWAO2ASb4FecwDwWAKZXmkAobiCFJaWorf/va3sFqtSElJgdVqVbbj4+MnzKtrs9nwzjvvqFgtEdFUycvW4sqn78LV0w6X8zos1iVql6QJlozgtGzsKQ4K9hS3DHRDluU556bPSsnAqKyHUfDC6+qGISFn1vYUeRiKI0hmZiZ++MMfql0GEdFdM5jjkZi3Ev2XT8N54QSyN21TuyRNCE7LNtLngm/UC51RP8cZ0W9ZQip0goD+ETduugaRGZs4a/s8ayycvkRk6PsYiqNUxIfihoYG1NfXo7CwEJIkAQCqqqpUuw4REc0upWhjIBQ3YsnGZ7h6ZBgY4ozQWwzwusbg7h5G7JIEtUtSndlgREG8Fa2DvTjf3zVnKM5PtuALrz8UuwZvwpQepkIpbCI6FNfV1eHgwYOora1V9jU0NKCiogL19fVhvw4REc1NtD0AQW+EW7qJ4e6riEvPV7ukqCcIAiwZcbh1uR/uriGG4oDipHQlFD+atWzWtskWIySIAK6gp/c6xMKwlEhhpFO7gLslSRJ27dqFmpqaCfvLy8vhdDpx4MCBsF6HiIjmRx9jgVhwPwDAeaFR5Wq04/ZyzxxXHKSMK+6fe+lmQRDg0ScDAKS+6yGti9QRsaH40KFDsNlsEEVxyrGdO3di//79Yb0OERHNn7VoIwDAeeEEZNmncjXaoCz33M1QHFQsBqZlm+cMFD5TKgDgFle1i0oRG4pra2thtU6/+rjNZoPdblfGBofjOkRENH/i0vugM5oxcsuJW52tapejCUooZk+x4nZP8fxCsT7WP43byC2uaheNIjYUNzc3w2azTXssuH8+i0ws1HWIiGj+dAYjkgv9K2ByCEV4WIKhuMcF2cveeQAoDsxVfOVWH4bHRuZsb473h2iZq9pFpYh90E6SpGmHPIzncDgmLDscyusQEdGdsRZtQO/5z+G82IzMNU8BnIUipGRBhmD2T8nWd84Bo2hWuyTVmWRgsxyPgVE3Pj99Evnx4uwnyEm47luBYZcex441hKXGaJWda8PSvOk7JdUSsaF4NsGQ63Te21KM873OwMDAhPcmkwkmE1e6ISKaTWJuKQzmeIy5BnD6nWq1y9EG/3NiaP3kL+rWsYj8OrhxtAbSHG0LAcCwDjkAcPL/ha4oDWg8mYel/7onJNf2eDzweDzK+8k5bSZRGYrDLTc3d8L7V199FXv27FGnGCKiCKHTG5C1bguuNf4Fso+/zg8LnwzZJ6tdxaLD/yMq0IVuBO/evXvx2muv3fF5URmKgw/GzfQA3UJfp729HYmJtyf9Zi8xEdH8ZJZ9E5ll31S7DCIKsw0hvPbLL7+MF198UXk/MDAwpQNzOlEZisMtMTFxQigmIiIiInXc7TDWiJ19wmazzTgrRHAM8EyzSoTiOkREREQUuSI2FJeVlc04f3Aw5M5nxoiFug4RERERRa6IDcUVFRUz9vC2traivLw8rNchIiIiosgVsaH42WefhdPpnDbQ1tXVobKycsI+SZLQ0DB1TsE7vQ4RERERRZ+IDcWiKKKmpgbV1RPntqyrq4PNZsP27dsn7N+xYwcqKipw4MCBe7oOEREREUWfiJ59Yvv27RBFEdXV1SgsLFTGBtfX109pW1FRgebmZqxbt+6erkNERERE0UeQZZlzVt+lgYEBJCUlob+/n1OyERERES1C881rETt8goiIiIhooTAUExEREZHmMRQTERERkeYxFBMRERGR5jEUExEREZHmMRQTERERkeYxFEcQj8eDPXv2wOPxqF0KEZGm8P5LFP04T/E9CPc8xZwXmYhIHbz/EkUuzlO8SP3mN79RuwQKA63+OUfa514s9Ya7jlB+v4W+9kJdb7H8WVNoafXPOdI+92Ktlz3F9+Bueg5KS0tx7ty5sH0/Use9/DlHskj73Iul3nDXEcrvt9DXXqjr3et1eP+NDIvlZzrcIu1zh7ve+f78GsJWURQK/ntiYGBg3ud4vd47aj9e8Ly7PZ/C517+nCNZpH3uxVJvuOsI5fdb6Gsv1PXu9Tq8/0aGxfIzHW6R9rnDXW/we83VD8ye4nvQ0dGB3NxctcsgIiIiojm0t7cjJydnxuMMxffA5/Ph+vXrSEhIgCAIapczI0mS8Omnn+LVV1/Fl19+qXY5RERR5e2331a229ra8OKLL0IURfUKIqIJZFnG4OAglixZAp1u5sfpOHziHuh0uln/xbEY2O12NDc3w2q14vLlyxwLR0S0gOrq6nD06FHU1tYC8HdCPPHEEzh58qTKlRHReElJSXO2YSiOcmVlZSgrK4PD4VC7FCKiqLN3717U1NQo70VRhNVqRUNDA8rLy1WsjIjuFKdkIyIiuguSJMFut8Nms03Yb7PZlJ5jIooc7CkOIUmSUF1dDVEUsW/fvhnbNTQ0oL6+HoWFhZAkCQBQVVUVpiqJiLRloe7Nwd/ATR4/LIoi7Hb7gtdNRKHFUBwC1dXVcDgcWL9+/Zy/Qqurq8PBgwcn9Co0NDSgoqIC9fX14SiXiEgTFvre7HQ6Zzx/tmNEtDhx+EQI7Nu3D7W1taiqqpr1CWRJkrBr164J49EAoLy8HE6nEwcOHAhxpURE2hGqe3OwF5mIIht7ilV06NAh2Gy2aW/OO3fuxP79+7F7924A/h6K/fv3z+u6HMtGRHT35ntvtlqt054vSdKMx4ho8WIoVlFtbe2MN06bzQa73Q5JkiCKIsrLy/kkMxFRGMz33hx8wM7pdE4I0E6nE2VlZeEolYgWEIdPqKi5uXnKU8tBwf2cSo2IKLzme28WRXHaKS8dDgcqKipCXicRLSyGYhUFe4Fns1ChmGPeiIjm507uzS+//PKEIWvBey1/s0cUeTh8YpEK3pDv9Qlmh8OBuro65WnpHTt2YP369di9ezeXISUiukOT783bt29XHr6zWq1oamrCxx9/rGKFRHS3GIqjnM1mQ1VVFec9JiIKkeAD0YA/JBNRZOLwiUUq+Cs4PsFMRLR48N5MFL0YiomIiIhI8xiKVWSz2WZ8kC44Xm2mJ6CJiCg0eG8m0iaGYhWVlZXNOCtE8IbMuS6JiMKL92YibWIoVlFFRcWMvRGtra2c0oeISAW8NxNpE0Oxip599lk4nc5pb751dXWorKxUoSoiIm3jvZlImxiKQ0ySpBnnGhZFETU1Naiurp6wv66uDjabjVP7EBGFCO/NRDSZIMuyrHYR0eb1119HU1MTHA4H7HY7AP/qRqIoYufOnVNuqA0NDaivr0dhYaEyjo3zChMRLSzem4loNgzFRERERKR5HD5BRERERJrHUExEREREmsdQTERERESax1BMRERERJrHUExEREREmsdQTERERESax1BMRERERJrHUExEREREmsdQTERERESax1BMRERERJrHUExEREREmsdQTERERESax1BMRERERJrHUExEREREmsdQTERERESax1BMRERERJrHUExEREREmsdQTERERESaZ1C7ACIiWlwOHDiA2tpaiKIISZIgiiJqamogiqLapRERhQx7iomICADgcDiwdu1anDx5ErW1taitrUV9fT2sVisKCgrgcDjULpGIKGQEWZZltYsgIiJ1BQPx7t27sW/fvgnHJElCcnIyysvLUV9fr1KFREShxVBMRKRxkiRh7dq1EEURJ0+enLZNcnIyJEkC/8ogomjF4RNERBq3a9cuOByOKT3E40mSBACw2+1hqoqIKLwYiomINEySJNTV1cFms6G8vHzGNkRE0Y6hmIhIw/bu3QsA2L59+4xtGhoalG2bzRbymoiI1MBQTESkYXV1dQCAnTt3ztgm+HCdzWbjtGxEFLUYiomINMrhcCjTrJWVlc3Y7tChQwCAysrKsNRFRKQGhmIiIo0KDouYaSxxsI0kSbDZbKiqqgpXaUREYcdQTESkUcFhERUVFTO2qa6uBgDU1taGpSYiIrUwFBMRaVSwp3imBTmqq6tht9uxf//+WYdXEBFFA4ZiIiINcjgckCQJoiiioqICBw4cmHC8srISBw4cQG1tLXbv3q1SlURE4cNQTESkQcFZJ8rLy5WxwhUVFdixYwfWrl2LwsJCtLW1zTpVGxFRNDGoXQAREYXf5PHEu3fvZo8wEWmaIHMheyIizREEAQDQ2trKBTmIiMDhE0REmmO32wH4F+NgICYi8mMoJiLSmIMHDwKYfX5iIiKtYSgmItKY4FRss81PTESkNRxTTESkMcHxxH19fRBFUd1iiIgWCc4+QUSkMVVVVSgsLGQgJiIahz3FRERERKR5HFNMRERERJrHUExEREREmsdQTERERESax1BMRERERJrHUExEREREmsdQTERERESax1BMRERERJrHUExEREREmsdQTERERESa9/8BdK10eZUGGoUAAAAASUVORK5CYII=", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "r90_plot_vals = [0.1,1, 5, 20, 50]\n", + "rho_arr = np.logspace(-1, np.log10(4), 50)\n", + "\n", + "for r90 in r90_plot_vals:\n", + " ut_arr = np.array([u_t_nfw(rho, r90) for rho in rho_arr])\n", + " plt.plot(rho_arr, ut_arr, label=r'$r_{90} =$ ' + str(r90), color=color_dict[r90])\n", + "\n", + "# plt.plot(rho_arr, u_T_arr_01, label=r'$r_{90} = 0.1$')\n", + "# plt.plot(rho_arr, u_T_arr_10, label=r'$r_{90} = 10$')\n", + "# plt.plot(rho_arr, u_T_arr_100, label=r'$r_{90} = 100$')\n", + "plt.plot(rho_arr, rho_arr, label='u = rho', ls='--', color='k')\n", + "plt.xscale('log')\n", + "plt.xlabel(r'$\\rho$')\n", + "plt.ylabel(r'$u_T$')\n", + "# plt.ylim(0,4)\n", + "plt.legend()\n", + "# plt.savefig('figures/u_T_extended.pdf')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Axion" + ] + }, + { + "cell_type": "code", + "execution_count": 138, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "u_T_values_axion = np.zeros((len(rho_arr), len(r90_vals_axion)))\n", + "\n", + "for i, r90 in enumerate(r90_vals_axion):\n", + " for j, rho in enumerate(rho_arr):\n", + " u_T_values_axion[j, i] = u_t_axion(rho, r90)\n", + "\n", + "# Creating the contour plot\n", + "X, Y = np.meshgrid(r90_vals_axion, rho_arr)\n", + "plt.contourf(X, Y, u_T_values_axion, levels=20, cmap='viridis')\n", + "plt.colorbar(label='u_T')\n", + "# plt.xscale('log')\n", + "plt.xlabel(r'$r_{90}$')\n", + "plt.ylabel(r'$\\rho$')\n", + "plt.title('Axion Star')\n", + "plt.ylim(0,2.5)\n", + "plt.xlim(0,5)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + " 0%| | 0/3 [00:00" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "r90_plot_vals = [0.1, 1, 4]\n", + "for R90 in R90_values_axion:\n", + " plt.loglog(m_arr, fdm_dict_axion[R90], label=r'$R_{90} =$ ' + str(R90) + '$ ~R_{\\odot}$', color=color_dict[R90], linewidth=2)\n", + "\n", + "# plt.plot(0, 0, ls='--', color='k', label='Existing Limits')\n", + "# plt.plot(0, 0, color='k', label='This Work')\n", + "plot_existing_limits_axion()\n", + "plt.ylim(1e-6, 1)\n", + "plt.xlim(1e-11, 1e2)\n", + "plt.legend()\n", + "plt.xlabel('$M_{DM} [M_{\\odot}]$')\n", + "plt.ylabel('$f_{DM}$')\n", + "plt.title('Axion Star Mock Roman')\n", + "# plt.savefig('figures/extended_limits_axion.pdf')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Dressed Black Holes" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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j8Jy0IIJu0AH32a3grn396XjPG/aaWQVms59td1C2qhYzGBMRJRdDsQfOhGt4cS38ITPuQTioau4kg26QodYtp/duJ0T3v/ajqsqjqsUAgzERUVIxFFOoBd2b63fgDSLkngdwzWtjVImHvTZWgbn759UfkM+mp2xViwEGYyKiJGIoJseCDqpeiEPYDSLcjsvJvdoJ0P2vr1lIHlZFfj7ziqdbShMRUfQxFHssDoExyibVyuBX6J1U0H1++8VkLvQjV0+v2D522GtgFZi7fx7D2i4u//vkJAoiIhrEUOyBZ7en8OI6w7Dfoty762fYnXTAHYfdexwVnvtfR7OQbBWQn91OOaoWs4WCiOJG13XIsgxBEFAqlcY+j6ZpkGUZAJBOp12fLywYislTo4Kr1UKoKAdewPvQ63fQTd2yt0WyF9pP7S/wtPq+rcJy9+tuNyD3V4uJiOJOlmVomobFxUUoigJJksY+V61Ww8bGBqrVKkRRBPAybEc9GDMUUw/fe20nEH6j0NrgdeidZMh1yu69DQvPZq9Xf1AeFZABi2oxBrd+NrBaTERx0B1Wd3d3xz6PqqpYXV3F48ePIQhC5/HV1VWoqspQTMCzWylcuRGvDRbCzM9FbF4FX69Cr59h9+atySw0++SpvS3Qrb5Xq7Dc/RrbCcjPbvW2U3TvckdERKPJsoz19fWeQAwA2WwWi4uLwdyUhxiKKXSiEHqBcAbfSQVdJ+zek1V4Nnt9+oOy8bMwa7MwfuadcHw7BcD+eDYiIrqsEiuKgmq1OvC1QqEQwB15j6GYHAv7BhJh6+/1KvR6HXhfv/mJp+cz8/1Pbto+tv/7G1Zh7n5NuwPysOoxYF4tBriZBxHRKOVyGaIoDlSJ44SheELCHiSjxo9pDkGHX69C7yTCrl127sUqOJu9HmZB2XjdR1WPz2+xWkxE8fLsrI3zZy/XSfzgk4shR7ujKEpnYd3W1hYAQBAENJtN05aKKGIo9sCzW8CVG0HfRTyFreoLuAu/boOv14H3izd1T8/X7/c+EUYeY/U9mYXlYdVku+GY1WIiCoNH538Cn3vmLoZ99N//Pn7zf/gDj+5oOE3TkMlksLW1hbW1tZ7H5+fncXh4GPlgzFBMnhgnvBpVuzBWfQ3jBmA34deL4Ot32LVr1H0MC839r8OwkGwnHAO91WLA2dbPRERh8+/+yr+Gv/iffKHz+Q8/eYH//Bce+nY9swkToihCkiSsrq6a9htHCUMxmZrEzmpur+HlWLMgqr9uwq+XoXf21e97dq5+jz99fejXrb4Ps7A8LCQPC8fAZUB+fvtFT7UYcLaZBxFR2Fy7PoVrE948zGih6DY/P49isQhd1yNdLWYo9sGktupNiqSGX7fB18+w68U9DAvM/d/7sJA8KhwDlz93o3JsVi22s/UzWyiIKOnMAnH3441Gw9XGIEFjKPbA85vAhb1RrIkxagqAnee5EdSit3EC8Ljh18vQO3fje56dy9A8+/GhX7e6f7OwPCwkOwnHrBYTEY3HzuQJTdMmczM+YSgmx5wGVz+3LPZi3NmkAvA44ddt8PUj7Hp1bavQ3P89DwvJTsKxk2oxERH1ymQyI0PvwsLChO7GHwzF1OFnePVSlIIwkLwwbJdxj3YrylbhuL+14vWbnwwsyrt567NO1bi7WgxYb/0MDG7/PPV6GgDYRkFEibOysoJ8Pm/6NSMsW7VXRAVDsU+iEjCjIAybX0yyL9hNII5CGO43d+N7I4PxMHaDMTDYWwy8HM9mVi1mfzERJY2u66a9wblcDoIgoFarIZfL9XytWq2iUChEepEdAEx2yWJMPb/1As9v936QO6lb550Pt27e+mzigfiLN3UGYgfs3Puw18bste7/uXW/B/r/G73czOOl5zMve5EvZm7jYub2wPmnXk93KsdERFGh6zpaLeu/1OfzeWSzWVQqlYGvVatVyLIMXdc7j1UqFWiaNjCqLYpYKSbPWQVZs7mxo54zLi92h5v01IiwBuKvXB889+8+G7+ya8VOxXj21e+PHPM2yrBqMXC5mceN4/OBRXesGhNRVG1tbeHg4ACapnU+stksBEHAyspKT+U3m82i0WiY9gdLkoRyuYzV1VWk02m0Wi2IoohmsznJb8c3qXa73R59GJk5PT3F9PQ0fuLv/C1MfS5Z4ye8DrFeCHqbZDcj1MIYiM3CcD8/wvGoYDwsFJuNbutvo/jk6SudUHz19AquPX0Ziq+ftnHj5KKnhcJsGoVZOGYwJoqO5+1nePDpt3BycoLbtwf/JchPRnYoq/P43E1va5M//OQ5ipnDQL6vOGClmAaEMfCa8SoEG4LYTCOMC+rshOH+Y/0Ix1aGVYvN+ovN2K0WAy9bKexUjYmIKLoYin0SlWAZNWEKwoa4BGInYdjquV6EY6/bKPoX3Y2aRAFcbv3cHYyBwRnGRp8xwzERUTwwFHsgdfMcqVftb1BB9nkdggFvgjAQn3YJN2HY6lxuw7GbYGx3GsWoajGAkcEYeFk1Zm8xEVG0MRRTqPgRgg1hCMNAeAKxl2HY6txuwrGbUW2j2ijsVosB82AMsJ2CiChuGIrJNT+DrBtehWCD2zAMJCMQ91/Hz2Dspo0C6K0WA5dbP3fPLe4OxgBGVo1ZLSYiii6GYrIU1rBrxesQbAg6DAPeBeJJheH+a/q5EG/cNor+ajFwpbP1s7HLXXcwBuy1UxARUTQxFPskaoEyqsIchAH3YRiIdiDuv/Y44djr/uJ+VtVip8GYLRRERNHGUOyBz986w5VXg76L+PMrAHcLUxgG4hGIu41bNXa7FXQ3u9Xibk4qxmyhICKKJoZiCq1JhGDAuyAMMAzb4Vcw9rNaDFwGYwCWC/AALrgjIooyhmLynFmY7V/gZOc5fvEyBHdjILYv6GBsp1psFoyBwQV4/cEYYLWYiCiKGIrJNjfBdZKht59fIdgQtjAMhDsQG/xagGd3IkX/NIr+ajHgLBhz0R0RUbQxFPsgyABI/odgg1dhGEheIDaME4zHXXg3rI3CTm+x3YoxWyiIiKKJodgDr33+E1z9PLd1DsKkArDByyAMJDcMd/MrGJsZ1kYBDO5y191GAQwPxgAX3BERRdlU0DdAZMcXb+qmH5Mw++r3Ox9eYiB+6SvXv+f4exj1+ln9vPrfN8a/7HSPUbysFr/c/vnZrZfHX+5495KxAM/Y4AO4rBYTEVG0sFJMoTPp6q8ZrwNwN4Zha06rxn5MpOjvLbZTMe7GajERUTQxFNNYwhBcveJnAO7HQDxaEMHYaKPo7y2+enql5zlWwbi/jQJgbzERDff47Mdw49q10Qc6cHbGVk43GIo9FKegGFeTDMAGL4OwIa6B2OB1MHbKqBYbwdioFgMjeowtRrQREVH4safYA3/q8ycMxCHU3QvsR0/wKHM3vud5IB6n9zaqvOwxttNf3N9bnLp1GW77+4sB8x5jo7cYuGyhMEy9nrZx90REFDRWiinSgqj8DuNHVdiQlDDczcuKsZM2CsOwirEVjmcjIoomhmIKvbAF335+BmEg2DD8pWvmrQCPzr3tgxvG+P7thmO3wRjonVts6A/GoxbeccEdEVG0MBRT4MIees34HYQNkwrEVuHXzvGTCshOqsZugnH/ojuzne4M3cEYeLngjtViIqLoYSj2wJ1Xn+DGq5OrnNFkTSoAd/M7DDsNwXbP5XdA9jsYG6yC8bCFd8PGtBERUfhxoR3RjxgL4/o/JmkSC+m8DMRm5zY+/OLk9XG6+M5swazThXdccEdEFE2RrhRXKhU0m02oqopWqwVJklAqlRyfR1EU1Ot1zM3NQdd1AMDa2prHd0tBC6Li60SUw/Cw6/lRPfaqYmymv40CgK2KMdA3u5gtFEREkRLZUCzLMorFIgqFAgBA13Xk83nMzMzg8ePHEATB1nlqtRp2d3dRrVY7jymKgmw2i3q97setk8/CHn77TaJveNKBuP/aYQ3GdvuLzQybSNG9mQcX3BERRUMk2ydqtRpWVlYgimLnMUEQUK1WO+HYDl3Xsbq6ip2dnZ7HJUlCq9VCpVLx9L7JP0G1O5A9QYbyUewu9Oxvo+jX3UJhOJt5+ZeBi5nbzm+OiIgmJpKh+ODgAJlMZuBxQRBQKBSgKEqnDWKYvb09iKJoWlVeWVlBuVz24G7JD0H2/Xop7lViv3nVX2zG6C82NvWwy9jMo1t3bzEREYVTJENxpVJBNps1/dr8/DwAoNFojDxPtVpFOm2++EUURaiqaitc02TEIQRTOI1bLe5fdGe14K4bF9wREYVTJEPxwsKC5deMEGsVdrs1Go2eFoxuxuOapjm/QfJUXINw0nao86ti7We12OCmWswWCiKiaIjkQrthC+CazSYAmLZX9NN1feSCPE3TRp7r7Ae9f9hfuT6Fq9evjLw+WYtjCO6WtEAcVf073XWzmkTRvaEHF9wRhcNF+wUu8KLz+fN2fNvKaHyRDMXDVCqVzkQKN4yw3GqN/oPr70pKz+d//r2v4Bd/9Sdd30PSxD0IByHO/cTd/JxEYejf0GMUjmcjCg/t/Hegnf920LdBIRerUCzLMkRRHGtWsRt/WZFw4/Mv/4n0yvVIdqV4igHXWpKrxH6NZ/PTsGpxP45nIwon8drP4M61n+58/rx9jm//8MMA74jCKDahWFVVVCoVHB4e2p5RPIyT3uQbn7+GGzej9Qf9OBh03UtyIPbbJKrFBqvNPAxmWz+zWkwUnKnUFUyBbY00XGxCcT6fx/7+vuXCuSgZN3w62bXL7bXIuUkH4qS0TkyCnc08DGbVYiusFhPRJOm6DlmWIQiCZ/+qvrW1hUwmA0mSPDlfkGIRirPZLMrlsq3Fdd1EUbScLmH0EtsJ2bM3/gifuxH8S8mAG16sEL/kZwtFGKvFgHULBRHRJMiyDE3TsLi4CEVRPAuwRsju3hU4yoJPci4Vi0XIsjzWDziTyVjOITbCstOgTdSNYTg+nFSLu7GFgoiC1l0V3t3d9ey8cdv5N9Irwra2tpDP5wcCsaZpUBTF4lkvZbNZy0pxs9mMxT8FUHCCDMRJbp3wYm6x3c08+tndzKN7hztu5kFEUeRlxTksIhuKa7WaZQ+Lqqo9bQ+6rpuG5OXlZbRaLdNgXKvVUCwWvb1pSoSvXP8eK8QjRD20G5t59O9wZ4WbeRBR3KiqGrt/TY9k+4SqqiiXy8jn8z2le6MVYnd3F4eHh53H8/k8FEVBuVzumWEsCAJ2dnYG+mFqtRpEUUQul/P/m6FYYRiOHie9xXbGs3EzDyKKu0qlgrW1taBvw3ORDMVLS0uW1V9gcHFcNptFo9Ew3R46l8tBEATIsoy5ublOsB62ax5RvzCF4ahXYb3gZMGdW/0L7qywt5iI4kDTNFvjaqMokqH4+PjY0fFra2tD/0YjSVLs+mJocsIUiKMkTBt5WFWLzdhZcNdfLe7GajEReeX5sxd48eyi8/nZD/wvitRqtVhWiYGIhmKiMGAYDjcvqsXjjmfr191CYYbVYqLkOfr0NVyfuu7qHA93VPz2Nx56c0M21Gq1WLeWMhQTORD2IMzWifF5XS02dFeLrVooiIjG8TN/6Wfx0//Bv9H5/PwHz/Dhv7fny7V0XUer1YrFJmlWIjt9gmhSjGkSYQ/EUeR3iPfiZ+Z0PJsxicIYz2bgeDYi8tqV61dw/eb1zse1z7urPA9TqVR6hhXEEUMxkQkGYbKrfzybmfOuQMzxbEQUNXEcv2aG7RNECH9bhB1snTDn19bPw8azudn6mQvuiChsNE3D7u4uyuVyz+PGxK6NjQ3s7u4inU4PHBMlDMWUSHEIwXERpikU4zJ6i40Fd6NwPBsRRUkulzNdYKfrOmZmZrC+vh6LBXhsn6BE6G6HYCBOHr+2fv7iTd3yPP29xdz6mYiiYNg+EHHHUEyx0x+AkxCC2ToRHsN6i7uxt5iIgmBMkbCSz+eRzWZ7dgy2omkaAAw93yScnJzg7bffdn0ehmKKtCQG4DiaRKj3u1psLLgz018t7mZVLSYi8srW1hby+Tzm5+ehaRpqtRqy2Szy+TxqtVrPsdlsFoIgmO4CbFBVFfl8HqurqwAAWZaRz+dtBWk/aJrWCehusKeYIoFhl6JknM08+ucWc8EdEXnFyQ50o3YBBoBMJoNqtTrWvbz33nueV5a9avdgKCbPDQuwo6YAMPySn/yeROF06+fuBXfduOCOiOJqd3cXJycnaLcHf/eNI5VKod1uI5VKjT54BLZPkKdGhdphX2cgpjgxeouNBXf9uOCOiJJIFEXkcjkcHx/j4uLC8qNcLqNQKKDZbOL4+Nj04+OPP8a9e/dQq9U8qT4zFNPEmYVfBuJki/pItm7DeovNcMEdESVJOp1GsVjE9PS05TFHR0doNpvY3t7G7OwspqenTT8kScLe3h4+/vhjVoopXJwEW4Zgb0U5VIb53jmejYjIW6VSaegiPgAol8vY3Ny0fc7t7W1PFvkxFFNgjGDMgJxcYQ7EbtjZ+rmbVbWYiChu7t69i9u3h/9LWDrtvBjgRY8yQzF5Ytxgy0DsnagFzKjdr9dGjWcD2EJBRMk0zng19hQTUY+oBM2o3KdTZi0U/QvujBYKwzOTcAywhYKIkmucUOzFnGKGYnKN1d5wCXvgDPv99XPSV9yNC+6IiMZz9+5dfPOb37R9/IMHDzxpn+CcYqIYenR+LZRbP4chEDuZVew1YzOP/pnF3Zt5nE1P4cbJBYDLavHV48tKMzfzIKKk2NzcxJe+9CUAwC//8i8PPfbBgwcoFouo1+uur8tQTK6wShxeRgANSzgOQyCeBGMjDwCdzTyMHe5G6d7Mo3uHO27mQURJs729jbfeegulUgn37t3D4uIiBEEAAOi6Dk3TsLu7C1VVUa1WcefOHdfXZCgmirkwVI3jGojNdrezy261uBurxUSUFJIkodFoIJ/Po1QqDcwhbrfbEAQBH3/8MZaWljy5JkMxjY1V4ugIKhjHJQxbbfnshFEtNloo7DJaKFgtJqKkyWQyaDab2NragqIoncV0oigim83i/fff9/R6DMVECTHpdoq4BOJxmLVQDGNUiwHrFgoDq8VElDRra2tYW1vz/TqcPkFjYZU4uvwMq4/Or3U+kmLUFIphho1nM9vhjpMoiChpHjx4gPX1dbz99tv46KOPer52//59HB0deXYtVoqJEsjLqnGSAvC4+hfcjWqhYLWYiJLu6OgI+Xweqqp2xq1ls9meY9bX17GxsYG33noLb775putrMhSTY6wSx8eoQGsWmpMagp32FXe3UAwzzng2Ioq+3//BNK7ihqfnfP6DM0/PFyRJkgBcTqFYWFiAKIrY2dnpOWZ6ehqbm5u4f/8+RFF0PYGC7RNEZKm7HSJObRFe/8VunBYKY4c7K6M28+Aud0QUV/fv34ckSXj06BFWV1dx9+5dTE9PWx6/ubmJUqnk+roMxeQIq8RE4zF2uDO2fTZzbrHls6F762ciorjSdR3b29uOnuPFjnYMxUREPvniTX3o141qsZ0Fd9z6mYiSon8msV/P6cdQTLaxSkxJN3fD+r8BOy0UdqrF3bpbKAzd1WK2UBARXTJmGLvBUEwjfeX69xiIiXxmVIuNFgpWi4koqZ48eYLvfve7to//6KOPMDs76/q6nD5BAFgFJvKL1RSKccazGbonUXA8GxHFTaFQQC6XQ61WwxtvvDH02P39fayuruLw8ND1dRmKPfCla3+MP8CfDPo2hmLoJfLGsNFss69+H48/fX3o853scGc2nq17bjG3fiaiOJIkCfV6HaIoQpZlSJKEhYUFPHnyBKenl7/zGo0GyuUyarUatre3XY9jAxiKPWOEzt99Zn+OqZfXJaLoMqrFxszifqwWE1HSGCPW+setbW1tdf5/u91GuVzG6uqqJ9dkT7HHjP5bv8Mq+3yJoqN/CoXTBXeG7q2fDewtJqK4KpVKePToEd555x3Mzs6i3W53Pu7du4dms+lZIAZYKfaVH9VjBmEib3zl+vd8+ZcdOy0UZvqrxf0tFGZbP7NaTERxJ4oiqtVq5/OTk5OhG3m4wUoxEVGAWC0mIrLPr0AMsFLsiUfnfwKfezaZl9JJZYtVZSJrk+7/759CMWzBnVW1uFv3gjsDq8VEFAcPHz7s+VwQhM5CuqOjIxSLRSiKAkEQIEkSdnZ2cPu2++IAQ3GM+fGHPoM2kfecjmczJlEAvQvuiIjioF6v4/79+xBFEblcDisrKwAuWycymQx0XUepVIIkSWg2m1haWsLBwYHr6zIUkyPdQZsBmaLK7yrxuH3FTnE8GxHFkSRJeP/997G5udnz+OrqKk5OTqAoCt58800AwN27dyGKItbX17GxseHquuwpprH97rMf73wQ0WhWUyi6pW5dhlyrHe649TMRxd3e3t5AIAaAWq2GTCbTCcSGTCaDdrs9cLxTrBSTJ+xWkO0GaFahyS9e/CVu2AYe4zJaKOzqbqEwsFpMRHGQTg/+5X5/fx/AZRXZTCo1WDBwiqGYPOdF6LA6B8MyJREX3BFR0tXrdaRSKSwuLpp+Xdd119dgKKZIMQvLDMpk1yRbfez2FXdPoehfcDdqhzsuuCMiJ3RdhyzLEAShZ5c4JyqVCprNJlRVRavVgiRJY5/LyszMzMBjiqIAsK4Us32CCINBhyGZwqx/NJsXzBbcsVpMRAZZlqFpGhYXF6EoimWwtHOeYrGIQqEA4DJk5/N5zMzM4PHjxxAEwZP7ffToUc/nJycnUFUV8/PzpqPXvvGNbyCfz7u+LhfaUex0LwDkIkAyhPm94MeCOyIiQ6lUQrVaxdra2tjBtVarYWVlBaIodh4TBAHVarUTjr1SLBaxsrKCp0+f4ujoCJIkIZVKmVak19fXcXh4iKWlJdfXZaWYYo8tFxQlXi64Y7WYiLxycHCAXC438LggCCgUCqhUKtB13ZNq8ezsLPL5PN54441Or3C5XO5Mnfjwww9RLpexv7/faZsQBMH1SDaGYkoktlwkS9iqxOO2UPQvuDN6iwHzBXdERF6pVCpQVRX1en3ga/Pz8wCARqMxdmtGv1wuh1wuh5OTk4GtnSVJQiaT8eQ63RiKicCQHGdBBmInm3iMs+DOYLbgjtViIvLSwsKC5deMaq7ZKDW3+gOx8ZjZ424xFBOZYEiOvrBVhyeB1WIi8otZhdjQbDYBwLPq7cOHD3s+FwQBd+7cAQAcHR2hWCxCURQIggBJkrCzs2O6AM8pLrQjsqF/8V4SA1eUxOnn42bB3cXM5R8S3OWOKJ4unj3H8x+cvfz49Fkg91GpVDoTKbxQr9cxPz+PfD6P3d3dTiX65OQEmUwG9Xodm5ubUBQF+Xzek0V2ACvFRGNjNTmcohKIzfqKzVoo7DJbcEdE4fXkBzdxpX3D1Tm+9w/+Cf74W9/26I7GI8syRFH0dFaxJEl4//33B7Z6Xl1dxcnJCRRF6Sy6u3v3LkRRxPr6OhfaEYUFQ3LwwhiInfQVj2L0FttZcMfeYqL4+xO5P4fX//1/s/P5i0/P8Lu//N9M7PqqqqJSqeDw8NCzGcUAsLe3NxCIgcuxcPPz851AbMhkMtjb23N9XYZiIp8wJE9OGMOwF/oX3I1iVIutgjERxcvUtavAteCiXD6fx/7+fs/sYi+YLdjb398HYL2jXSo12ErmFHuKiSaEPcn+iPJr+cWb+sBjZht5eIW9xUTklWw2i3K57MtoNDP1eh2pVAqLi4umXzf6jt1gKCYKCEOye0l63ZwuuDubuaws9y+6IyJyq1gsQpZlz2YS95uZmRl4TFEUANaVYmMTDzcYiolCgiHZvqi9RrOvfn/s59689Zmj48+mh/9aZ7WYiNzY2tpCPp8fCKeapnWCq1uPHj3q+fzk5ASqqiKTyZiOXvvGN77hyTbTDMVEIcWQ3Cuur8U4LRSjqsVGMGa1mIic0nXdMtzWajVkMhnTaq2qqp71FheLRaysrODp06c4OjqCJElIpVKmEy7W19dxeHjoyVg2LrQjiojuMJiERXtxC79uOF1wNwonURAll67raLWs//vP5/NQFAXlcrln9rCqqiiXy8jn86hUKj3nA4Dd3V0cHh56co+zs7PI5/N44403Oucvl8udqRMffvghyuVyT3gXBIEj2YiSKK6TLRiEx2eMZzNwEgURGba2tnBwcABN0zof2WwWgiBgZWUFuVyuc2w2m0Wj0RjY1nlpaWloFdnrCRS5XA65XA4nJycDWzpLkuTLAj+GYqIYGBYmwxSYGXrt697Io5tRLe6fWWzonlk8DKvFRMmxtrbm6Fiz44+Pj728JdsODw9Rr9ehqiqKxSLeeecdTE9PY3p6Guvr6ygWi50toN1iKCaKOQZR7zXPvH1NzXa36+d0hzsioig7OjpCPp+HqqqdyRLZbLbnmPv372NjYwNvvfXWwIYe4+BCOyKiiLE7no0L7ogoqiRJwvHxMba3t3F4eGhaqZ6ensbm5iY+/vhjHB0dub4mQzERkQNeV4mH8XMjD4Dj2YgonO7fvw9JkvDo0SOsrq7i7t27A33F3TY3N00nUzjFUExEFBFmM4utqsVERFGl6zq2t7cdPYebdxARTdAkq8SjGC0UVuy2ULBaTERhk0qlRh/kwXP6MRQTEYWA2SYeZpzucEdElASaprk+B0MxEZENQVWJh/UVu11wZ2C1mIjC5MmTJ/jud79r+/iPPvoIs7Ozrq/LUExElFCcQkFEYVQoFJDL5WwF4/39fayuruL+/fuur8tQTEQ0Qph6iYHeFopR1WK7WC0morCQJAlvvvkmRFHEBx98gAcPHuD09BRPnjzB6ekpTk9P8eDBA6ysrOCtt97C5uamJxt4cPMOIqIhJhmIrTbxsNrdzg5jhzs72z5zlzsiCgtjxFr/uLWtra3O/2+32yiXy1hdXfXkmqwUExEREVHolEolPHr0CO+88w5mZ2fRbrc7H/fu3UOz2fQsEAOsFBMRWQpb20S37m2fU7fO0X56Dc9vv8DV0ys4vwVce3rZQnH96WC1uB+rxUQUVqIoolqtdj4/OTkZupGHG6wUExEljNUUCiKisPMrEAMRD8W6rqNYLEKW5bGen8/nUSwWoapq53yKoiCfz3ceI6JkCluV2Gw0m5cL7ronUXDRHREF6cMPP8SVK1fwwQcfTPS6kWyfkGUZmqZhcXERiqJAkqSxzqPrOmq1GiqVSucxQRBQrVaRyWS8ul0iItusFtu5NWrBHdDbRkFEFJTd3V202200m82JXjeSobh7FeLu7u7Y58lkMpBluVMVFkURuVzO9f0RUbSFrUpsV39vsRvsLSaioIiiiOPjY19bJcxEMhR7SZKksSvNRBQvYQ/DZqPZuhfc9bNacNeP1WKiyfvB0xuYeuFtX//Fp56eLjC6rjsOxCsrK64KpUDEe4qJiLzQPPvx0AdiL/Vv+2yFvcVEFITNzU2srKw4eo4Xa8EYiokoscIahr94Ux/7ueMuuOueRMFFd0QUJEEQUKlU8N577+HrX/86Hj58iNNT63/Bevz4MVot9+1eiW+f0DQNiqJ0Pm82m1hfX4cgCLbP8fjsx3Dj2vCKC41v7sb3gr4FipkwBmG7nLZQ9LNacAf0tlEQEQXly1/+cuf/dw9D8FuiQ7GmaVBVFYVCofOYqqqYn5/H4eGh7WB89oPzns+vXJ/C1evuFrnQS14FGIZrinIYdsJqMw8n2FtMcXLRfoELvOh8/rx9PuRoClq73YamachkMlhaWhp5fLPZxNHRkevrJjoUd++QYshkMshkMlhdXTX9upm/Kyk9n//5976CX/zVn/TkHsk7XgYiBuxoSEoItmvUgjuiuNLOfwfa+W8HfRtkk9E+8e6779p+zmuvveb6uokOxVay2SyKxaLt4/+yIuHG51+2T1y5zlbtuHMTthiovRWF4Pv409d9v4ZVC8Ww8WxmLRREcSRe+xncufbTnc+ft8/x7R9+GOAd0TCiKGJhYcHRc2ZmZlxfl6HYRDp9ubBEVVVbm3jc+Pw13LjJnmKyZ9wQl9QwHYXQO8wkArEZo4XCMM54NgNnFlPUTaWuYApsa4yKvb09x8959OiR6+smNhQXi0UIgtCzEYjB6CX2YiUjkVf8DoeTCN1RD7hhYbbYbhg71WIioqRLbCje29uz3LRD0zQAcFy6J4oyBlbvBVUltjKsWswWCiKKqpOTEywvL+Mf/+N/7Oo8iW1+LRQKlgvp6vU6RFF0NJaNiChoN2/1tj0YM4vH1T2vmIgorDRN6xQ03Yh9pVjXdTQajYGq8OLiomnPsK7rqNVqtidPEBGZCVuVuH88m1EtBthCQUST895773nentq934QbkQ/Fuq4PfXHz+TwURUG5XO6ZR5zL5VAsFlEsFnuC8dLSEgqFAnK5nK/3TUTkht2+4v4Fd/3MWii4iQcR+WV3dxcnJydot70ZC5lKpdBut5FKpVyfK5KheGtrCwcHB51yuaZpyGazEAQBKysrPYE2m82i0WiY9geXy2VsbW1hd3e3E67X19cZiInIlSCrxMN2txtWLSYimgRRFDE3N4dKpYLp6WnL43Z2dnB4eAhZljtTwfodHBygUqnga1/7mq1NPkaJZCheW1tzdOyw452ci4holLC1TdjFFgoimoR0Oo1isTg0EB8dHaHZbGJ7e3vouSRJgiRJ+JVf+RXL4QlOJHahHRFRUnQvuHt++3Kr2/NbL7/+7PbLf3Y8m+HMdSLyT6lUGjndq1wuY3Nz0/Y5t7e3UalU3N4aQzERkVcmXSV+/eYnpo/3T6EY5tkt88efz1y2YHACBRF56e7du7h9e/jvFat2iWG86FFmKCYiSoBR1WLgsoWCiCho44xX82KiRSR7iomIwiaqvcQGq22fiSg+dF2HLMuWO/raoSgK6vU65ubmoOs6AO/XZ40TijmnmIgoBMIYiIdNoQB6t37un0Jhtrvd1OtpXHzf29miRDQZsixD0zQsLi5CUZSxF6XVajXs7u727OWgKAqy2Szq9bpXt4u7d+/im9/8Jn75l3/Z1vEPHjzwpH2CoZiIyIWgA7HdecWA+cxiYzyboXsKBecVE8VDd1V4d3d3rHPouo7V1VU8fvy453FJkiDLMiqVSs9+EG5sbm7iS1/6EgCMDMYPHjxAsVj0JJQzFBMRjSnoQOxWd7UYYAsFEVnb29uDKIoQBGHgaysrKwObpLm1vb2Nt956C6VSCffu3cPi4mLn2rquQ9M07O7uQlVVVKtV3Llzx/U1GYqJiByKShge1ULRzU4LBRElV7VatZwKIYoiVFWFruumoXkckiSh0Wggn8+jVCoN7FjXbrchCAI+/vhjTzbuADh9gojItsefvh6ZQGylewqFoX9mcf8UCo5lI6JGowFRFE2/ZjzuxWK3bplMBs1mE5ubm1haWsLs7CxmZ2extLSEUqmEVqvlWSAGWCkmIhop6kF4mFEL7gCwr5gopNrnz9E+f975/OKHZ75dy04VWNM0ZDIZz689andiALhy5QpevHjh6joMxUREFoIKw7/3ieDr+UctuLvc4a532+eLmduYAjiBgsgj7U+uof3C3Q6S+v/yWzj5X72b+jAuIyx7MSt4XJw+QUTkgzhVhu30FbNaTBRN02+/idtLv9D5/OKzz/AHH/ztAO8oOP09x+NgKCYi+pEwhGG/q8TDsFpMFC2pa1eRuhZ8lDM28Rhne+Yw4UI7Ikq8OCygc8pswZ3hWf/2zzPX8HzmZbV56vVo/8FHRGQm+L9exMDRp6/h+tT1oG8jMWZf/X7Qt0AxEbYgHGSV2GihsFUtPj4N5iaJKDCiKFpOlzB6ia2mU0QFQzFFjtMgwxBN/cIWhgF/A7GTecXAyxFtw3qLue0zUbJkMplOm0Q/Iyz7MXlikhiKKfZGBSCG5uQIYxj2gpOtnrv1T6Ho3+EOGKwWP595BVcBVouJEiabzfZsF92t2WxCkqQJ35H32FNMiWf0k5p9UDyE/ecZZNuElfNb5r3FhouZ2+wtJoohXdehKMrA48vLy2i1WqYtFLVaDcVicRK35yuGYqIhGJijiz+rXjdv2Rup9vz24PD7/l3uuOiOKLp0XR86TzifzyObzaJSqfQ8LggCdnZ2IMtyz+O1Wg2iKCKXy/lyv3ZxTjFRgMzCFlsxghPV8Bt0ldhsIw9Df2/xZTC+hhvHl5MruOiOKBq2trZwcHAATdM6H9lsFoIgYGVlpSfQZrNZNBoNLCwsDJwnl8tBEATIsoy5ublOj3G9HvwGIhcXF6MPGiHV9iJaJ9Tp6Smmp6fxtf3/CNdvcvoEWWNY9kdUg7DBy0Bsp6fYarFdfyju7is2JlFcfwpcP213eotvHJ/j6vFnnVDMRXcUJc/bz/Dg02/h5OQEt2/fnui1jezwE3/nb2Hqc/YXwNpx8cPP8C//i/8qkO8rDlgpJpqAYeHNi8DsNhyGPbRHPfxGTfeCu+4RbcBltZiL7ogojhiKiQI2KjBPIhB6eQ0nATvJYTeItgmr0WzDWigMl4vuUrh+evmPi2czfW0UYLWYiKKNoZgoxKIYGqN4zzTIqlrcPaKNs4uJyA8PHz7s+VwQBNy5cwcAcHR0hGKxCEVRIAgCJEnCzs6OJ+0inD5BRDRhQS+uG1f3iLb+aRQXM+xfJCJv1Ot1zM/PI5/PY3d3t7Og7+TkBJlMBvV6HZubm1AUBfl8HktLS55cl5ViIqIJCXMYHtVC0V8tZhsFEflFkiS8//772Nzc7Hl8dXUVJycnUBQFb775JgDg7t27EEUR6+vr2NjYcHVdVoqJiCYgLIHY7rxiwGJm8ZBqsYGzi4nIjb29vYFADFzORM5kMp1AbMhkMpxTTEQUdmEJw14wqsXdi+44u5iIvJZOD/7Fen9/HwAst5NOpVKur+trpfjhw4d4+PAhTk/5C5KIkuX3PhEiF4hTt84HHuuvFp93VYovF91dOpu5xmoxEfmmXq8jlUphcXHR9OtG37Ebnofio6MjvP3227hy5Qrm5+cxPz+PmZkZfPnLX8Zv/MZveH05IqJQCSIM29m4w2tcdEdEfpmZmRl4TFEUANaVYi/aJzwNxd2rAqenp9FutzsfzWYTa2tr+MpXvoJ/8S/+hZeXJSIKXFCV4SACcbf+anE3VouJaByPHj3q+fzk5ASqqiKTyZiOXvvGN76BfD7v+rqehuLV1VUsLy/j+PgYrVYLFxcXOD4+RrVaRaFQwPT0NB49eoRMJoNvfvObXl6aiCgwUWuTGMZJC4WdajGDMRE5VSwWsbKygqdPn+Lo6AiSJCGVSqFUKg0cu76+jsPDQ0/Gsnm60E7Xdezt7fU8Nj09jXv37uHevXvY3t6GoiiQZRmFQgHpdBq/9Eu/5OUtEBFNTNBhOOgqsWHoiDYuuiMih2ZnZ5HP5/HGG290eoXL5XJn6sSHH36IcrncaakALjf4cDuSzdNQbNYD0k+SJBweHkKWZbz77rtYWlryZBcSIqJJCjoQT1r3DndA7ySK6097d7oDLqvF3OmOiMaVy+WQy+VwcnKC6enpnq9JkoRMJuP5NT1tnzg+PrY9aaJUKiGXy6FSqXh5C0REvgtDIHZTJR41q9ishWKY/jaK7t5itlEQkRuHh4dYX1/H22+/jY8++gjAZRfC7OwsKpUKUqkUZmdnMTs76/panobifD4PWZZtH18ul7G7u+vlLRAR+SoMgTgsusezAb2L7oCXG3pwGgUROXV0dITFxUVks1mUSiXU63VomtZzzP3797G9vY0HDx54ck3PF9odHBzggw8+sP0cL5I9EZHfwjR3OKheYrMd7gxW1WLOLiYyd/XpFVw99fjj6ZXRF44ISZJwfHyM7e1tHB4e4vj4eOCY6elpbG5u4uOPP8bR0ZHra3o+p3hvbw/b29v4uZ/7OfzWb/3WyOO9GLZMROSnsIRhYHKB2GkLhcFqRBvbKIjIrvv370OSJDx69Airq6u4e/fuQF9xt83NTdPJFE55HopFUUSj0cCTJ08gSRK+8pWv4IMPPsDDhw8Hjt3Z2fFkrhwRkV/CFIjDqGeHuyEj2gC2URCRPbquY3t729FzQrd5h0EURaiqinfeeQePHj1CqVTC/Pw8rly5gr/wF/4Cvv71r+Ptt9/GyckJVldX/bgFIiLXwhaIwzCCbVgLBXAZjM2qxWyjICK7UqnU6IM8eE4/T0eydZuenka1WsXJyQl+/dd/HR9++CE0TcPHH3+Mer0OAGg0Gmg0GpAkCZIk4c6dO37dDhGRbWELw0FJ3TpH++m1kccZ49m6dY9oM5tdzDFtROSl/kV44/ClUtxtenoapVIJjx49QrPZRLlcxr179zA9PY3j42Ps7e2hWCxibm4OX/7yl/Hee+/ho48+sj3ajYjIS2ENxGGoEhvsVIsNbKMgIqeePHmC7373u7aP/+ijj8I3km2U2dlZrK6uYm9vD61WC81mE6VSCUtLS2i3253QnM/nkU6nuRU0EU0UA/H4+sezAcPbKC5mbrONgohMFQoF5HI5W8F4f38fq6uruH//vuvrTjQU95udncX777+Pjz/+GBcXFzg8PMTa2hq++tWv4uLiAo8ePQry9ogoQcIaiINmNYVinGox+4uJyA5JkvDmm29CFEV88MEHePDgAU5PT/HkyROcnp7i9PQUDx48wMrKCt566y1sbm560oLrW0/xOO7evYu7d+9ic3Mz6FshogQJayCOQoV4lGe3U7h+2sbZtHV/MRFRP2PEWv+4ta2trc7/b7fbKJfLng1tCFUojqrf/8E0ruJG0LcRK1+8qQd9C5QQDMTe6V9w9+wWcP3pYDAGLqvFV48/uwzGABfdEdGAUqmEYrEIWZbxne98p2cxXS6XQ6lU8nQTOIZiCiW7QYXhmcbFMOze89svcPXU+Q5a3dViA6dREJEZURRRrVY7n5+cnAzdyMMNhmKKtGHBhoGZrIQxEE8yDH/y9JXRB41p7Gox2yiIyAa/AjEQ8EI7Ij/93ifCwAdRGN8HYa8Oj7vlcz9u6kFEfjg5OcHi4qLr8zAUU6IwJCdb2H7m3//k5sQDsddVYrMpFP3j2Z71fd4/jQJ4ObuYwZiInGo0GtB13fV52D5BidYfkthyEV9hCsRhrwz7aVgbBRERAMdVX1VVIQiC6+syFBN16Q5ODMjxwUB8ya9eYrMFd1a9xf24BTQR9Ws2m7Yrv4IgeNZnzPYJIgtss4i+sP38klwh7mb0Fg/bApptFETJJYoiisUiLi4uLD+Oj4+xt7eH5eVlqKqKJ0+euL4uQzGRDQzI0RLGn1XQgdjPiRN2dfcWj9oCGmAwJkqqdDqNfD4/9Jjp6Wnkcjlsb2+jXC7j9NT9BBu2TxA5FNUWi1EhMUrfi5WwBWFD0IHYC6lb52g/vWb5dTstFGbMdrojIv8oioJ6vY65ublOi8La2prj89RqNdTr9Z7HSqWSJ7295XLZ0aYcGxsbWF9fx8bGhqvrMhQTuRC2gOwmFNp5bhi+RzNhDcNAOAJxGKrEZuzMLmZ/MZF3arUadnd3ezbDUBQF2Wx2IOAOI8systksyuVy5zFN07C0tIT9/X3XwXicXera7barawJsnyDyTFD/ZD/J1g6z2c9Bt5YwEIfHOOPZurGNgsg/uq5jdXUVOzs7PY9LkoRWq4VKpWLrPKqqdp7XTRRF7OzsYHV11Zsbdujk5MT1OVgpJvLYpKrHYQyDk9phMIzfe7cwheGwVokN/dVio42CFWMib+3t7UEURdMq7srKCsrlMgqFwsjzKIpiOTItk8l0QvOkaZrm+hwMxUQ+8iMghz0QWonqfTsVpkAcFnbHsxGRf6rVKtJp8391EUURqqpC13VbrQ/lchm5XG7gcU3TIIqi21t1tGhO0zRsbGx4cl2GYqIJcVNFTUqgjLqwBeIgqsRmC+5GYbWYyH+NRgPLy8umXzMCpaZpyGQyQ8+Ty+UgyzLy+Tx2dnZ6QnSpVIIsy67vVRAEpFKp0Qd2Hf/48WPX12UoJgoBht7oC1sg9sOoCRTDjKoWMxgT+ctOFdhOKBZFsRN+FUVBtVqFJEmoVCrIZrMDvcbjEEURmqaZVqO7pdNpzM/PY3l5Gbdv33Z9XYZiIiKXwhiIw95LPMyoYExEl9rPn6P9/Hnn84vPxtsu3QjLrZa9v3Cura1BFEXk83lks1mIooh6ve5JC4NxP5VKBe+++64n57OLoZiIyIUkBWK7VWKrFgq71eJRWC2mOLj6CXDF5WjuP/4/FDz5px97c0MOCYKAtbU1qKraGetWrVZHVprtWFhY8CxgO8FQTEQUI1GuEHdjGwXRaK/9WxLSP/+Lnc9fnH0G7b/7m47PY2ziYbUQr58sy1hcXESpVAIAVCoVFItFzM/Po16vu26h2N7edvX8cXFOMRHRmMJUJf7k6SuRCMSj5hZ3b/9MRMNNXb2KKzde6fnwmzHPuLvft1AooNlsdloqjJA9SQ8ePHB9DoZiIqIxhCUQTyoMj7vAzo2z6cs/oripB5F7xuI1M0YvsZ2WhVKp1KkQ95//8PAQwOUs40krFouuz8H2CSIih8IQiMNeFR42ms1JbzHbKIi8kclkLCu4Rlge1Q88aoKFIAhYX18fupGGkxnEdjWbTduLBIdhKCYicoCBOHwYjIlGy2azphVe4DJU2ukDFgTBVmvEsIqz0xnEk8RQTEQUEXEOw26qxQCDMdEoy8vLkGXZdNe5Wq02EJh1XUej0RgIy6IoQlEUyxBdr9dRrVYt76N/BrHdxX1WWq0Wms0mHj586Oo8AEMxEZFtQVWJgw7DfvQT97dQ2MXZxUTjEQQBOzs7kGW5J7TWajWIojiwUUY+n4eiKCiXyygUCp3Hq9UqlpaWUCqVeoKxruuQZRmyLI9ssfBjBvFrr73m+hwMxURENiQ1ELvhdMtnO9ViM+wvJrInl8tBEATIsoy5ublOK0S9Xh84NpvNotFoYGFhoedxQRBweHg4EK6By0V4o3bNW1hYGDinF2ZnZ12fI9Vut0dPSidTp6enmJ6exp/7n/9TXP38jaBvh4h8kvRA7KZSPCoU91eLr/d/3reZhxGMbxxf7npw9fjlDl5GxZjBmEZ53n6GB59+CycnJ55sD+yEkR2+/P6vez5C7cXZZ/j//usPAvm+Ju3o6Kiz8O/OnTuenJMj2YiIhmAgnuwoNqdzi40xbd04qo0o/o6Pj9FsNlGv1/Hee+/h6OjI9TnZPkFEFDJhCcST4LS3uH/RHQAuvCNKoLt37+Lu3budz1dWVrC7u+vqnJEOxUZTtyAIlmNGRlEUBfV6vae3Zm1tzcO7JKKoCqJKHLdA7LSvGBjeW9ytOxgbuPCOKHk++uijobOR7YpkKDZGiiwuLg4dCzJKrVbD7u5uT6O4oijIZrOmTedElBwMxJNrnTCrFvcH427di+76p1EAXHhHFBff+MY3UC6XoWnayPnI5XLZ9fUiGYq7q8Ljlsp1Xcfq6ioeP37c87gkSZBlGZVKpWcECRElBwNx+PRXi82mUXQHYwODMVE0vffee52gK4oiZmdne2Ys67oOTdOQyWTwwQcf4J133nF9zcQutNvb24MoiqajQ1ZWVjz5GwcRRQ8D8aVJL7A7vzX4mN1Fd2czL+/VWHh3MRPvlfdEcfad73yn8y/5FxcXePToERqNBgqFAhqNBhqNBh49eoSLi4uR20o7kdhQXK1WLXdREUURqqra2sqQiMgNBuLxnU2//COsOxgbjGDMaRRE0bK5uYn9/X3cu3ev53Gz7aHv3buHu3fv4qOPPnJ93cSG4kajYbk3t/G4V3/zIKJomHSVOGyBuP30WugCsdMRbYD5mDYiio6ZmZmeyRIGq1y2tLSEg4MD19dNbCg2Bj4Pw1BMlBwMxOEKw936g3E3VouJ4mdmZsb08YWFBTx48MC36yY2FA9jhOVWy97ijOefPsPzH5x1Pi6ePffx7ojIawzE4QjEZn3FZsatFjMYJ9dF+wWet591fZyPfhIFxmqz5VwuZzmC14uW10hOnwibf/61nZ7P3/iPfx6zf+nPBnQ3RBRmYQrEYQnDdjgd0daNm3qQdv470M5/O+jbIJsWFxfx4MEDvPnmm3jw4AFUVcVf+St/BbOzs2g2m/iN3/gN/Nqv/Vrn+MePH6PRaLi+LkOxCeNvG1YL8fr9/LdWcfXV653Pp645G1RPRMEJahvnoEUpEJux2tCjm9mINoDBOInEaz+DO9d+uvP58/Y5vv3DDwO8Ixrm3r17uH//PnRdx7vvvouTkxOIooh33nkHm5ubWF5eRr1eRy6Xg67r2NjY8GSMLkOxB07aaVxp33j5wLMffUTU6zc/CfoWiCYiiW0TYQ/Dw7Z9HrbTnVW12GwLaIDBOGmmUlcwBRasomRzcxMffvghlpeX0Wq1Ohu15XI5rK6uYmdnB/V6He12G4IgYH193fU1ExuKRVG0XEhn9BJbTaeIuzBXzhjYySsMxNE0rI1iFAZjomhYWVnB7u4u7t27NzCWDbjcvS6fz6NWq2Fubg6FQgG3b7ufTZ7YUJzJZCybso2wnMlkJnhHZIdVkGFYJrIWhzBsxUm1GBgMxkQUPtVqFR988AF+9md/1vIYSZI61WOvJHb6RDabtawUN5tNz19o8tf3P7nZ80E0TFKqxGGYO3z11Pk/WY+aQuFmRBvQu9sdJ1JQUK4/9ecjDgRBQD6fx8OHDyd63diHYl3XoSjKwONGj4pZMK7VaigWi5O4PfIJQzJZSVIgTopxRrQxGBOFl67ruH37Nra3t7GysuLrbOJukQ/Fuq4PnSecz+eRzWZRqVR6HhcEATs7O5BluefxWq0GURSRy+V8uV8KBgMyJUUYqsOTME61mMGYKBoymQwajQa2t7exu7uL4+NjLC8v4+tf/zpOT/1rf4pkT/HW1hYODg6gaVrnI5vNQhAErKys9ATabDaLRqOBhYWFgfPkcjkIggBZljE3N9fpMa7X65P6VigARjBmH3LyxL1KHKcwPGwKhRk7I9oA6zFtABfeEYVF/8xhY8Hdd77zHaytrSGVSqFYLOKrX/2qp9dNta22DaGRTk9PMT09jZ/6BzKuvHpj9BMolBiOk4GBOBjj9BQb7ITi/h7K7mBsLLoD0LOhR38o7l54x1CcDM/bz/Dg02/h5OTEk6kFThjZ4U//yq/jyg1vf0+8OPsM/8/2B4F8X5NmjGT72te+hnfeeceTc0a+fYLILbZVxB8DcTDcBGIv2G2j6MY2CqJoMGYVb29v47XXXuOcYiIvJamtYlRIjNNrEPe/8CQ9EA/b0GMYjmkjiq4HDx6gXC6jVqt1Nu947bXXXJ+XoZioz/c/uRmrUGhwEg7jMg86iEA8ySpx0gOxFTuzi4dhbzFRsE5PTwfaP05PT7G3t4dSqQRN09ButyFJEmRZxtLSkifXZSgmMhGnqrGXwTBKr0vcK8Rh5WUgdrrYzgo39SCKltnZWTx58gQA8PDhQ5TL5c4Usenpabz//vsoFouYnZ319LoMxURDRLlq7Gco7D53VF8fPyS5Shxkddhs62e7bRTduoMxq8VEwWm323jvvffQaDSgqira7TYymQyKxSJWV1d9uy5DMdEIUQvGk66QhrF6zLaJyQq6XcKK0y2g+zEYEwWnUqmg3W4jl8thfX0dd+/e9f2anD5BZENUJlQEeY9h2SAl6Ov7jYHYnNVmHt273dmZRtG9oQfAaRREQVldXcXx8TH29vYmEogBhmIiR8IcuMJ0b0GF46Beg0lVicMUiK+eXglNIPYbgzHR5G1vb2N6enqi12QoJnIoTOHTEMZ7AiYbjhmIJydqYdhttRhgMCaapOXlZcfPuXLF/e8lhmKiMYShTSBM9zGK3/cZhdfAjSQH4nOLtggzVi0UgPNgbIbBmGgytre3HT/Hiw2aGYqJXAi6hzdq/AjHQb4Ok6gShyUQJ6ldAjCvFgMMxkRhlUqlRh80AkMxkUtJ6p31ilfhOOqvQ1REKQx7WS22CsZEFE8MxUQemGQ4i1MQdBOOg34dklAlDkN12IvNO6ywv5iIunFOMZFHJjHPOOgg6Je4fl9uhCEQx1H/ph7jbANNFGWKoqBer2Nubg66rgMA1tbWxjqXpmmQZRkAkE6nIQgCSqWSV7c6cQzFRB7yMxgzOIbHJDfqmLQ4hGGzHe56vj4kGBu4BTTFUa1Ww+7uLqrVaucxRVGQzWZRr9cdn2tjYwPVahWiKAIAdF2HLMuRDcZsnyDyGMNrvMW5bSJsgdjP1gkrTqZREEWJrutYXV3Fzs5Oz+OSJKHVaqFSqdg+l6qqWF1dxf7+ficQA5cbbtRqNc/uedIYiol8EKcJC5QMYQvEbg1bcAf0LroDrPuLDdzpjqJub28PoihCEISBr62srKBcLts+lyzLWF9fHzhXNptFsVh0eafBYfsEkU+MIOumnYJhOFziWCWOWxh2w6y/uLuNgijKqtUq0mnzv8yJoghVVaHrumlo7qaqKhRF6WnBMBQKBS9udSycU0wUAU6DrTGRgYE4eRiIX/KidcJptRjorRgbjDYKjmijKGs0Gj2tDt2MxzVNG3mecrlsWXEO0sXFxeiDRmClmGgChi3AY/iNhrgtrgtzIJ6k/kV33TiNguLEThVY0zRkMpmhxyiK0gnRW1tbAABBENBsNk1bKqKEoZhoQrqDMYMw9ZtklZiBeLhhbRTdkyimXk/j4vutIG+VEu7i+XO0XzzvfP7i2XitPkaQbbVGv5+N4Ly1tdUzyk3TNMzPz+Pw8HCsYHx0dIR0Oo3bt4P7FxmGYqIJYhiOJr+rxAzEvbycOjFqPBtgXi02G9Nm4Ig28sL1p21cOXPXB/sH31Hwhw8/9uiO7FNVdWDsmiiKkCQJq6urpv3Ghvfeew+NRqMzI1kURYiiiLm5OUiShK9+9as+3vlwDMVEREQmjGDMRXcUVn/yzyzhC3/6z3c+f3H+GX577285Po8RUK0W4pkx60+en59HsVgc2qqxu7uLk5MTbG5u4v3333d8r37iQjsioiFYJZ6sIGYTA+aL7roZY9r6F91xNBsFaerKVVy5/srLj2uTWfswasFeo9EY+vy1tbXQBWKAoZiIKBEYiMdjNr+YwZiiSBRFy+kSRi+xVdjtP4+dBXvDrKysjLxOEBiKiYgsxKVKHPZAfO2pv4F41Gi2znEW1WIGY4qDTCbTaZPoZ4TYUZMnjGNGhd6FhQXLr6VSqUD7hodhKCYiCgADsf9heBwMxhRX2WzWMsw2m01IkmTrPCsrK1BV1fRrxvmHVZy92GTDzJe//GXX52AoJiIyEYe5xGENxGEMw3bY2diDwZjCanl5Ga1WyzQY12q1ge2ZdV2HoigDx+ZyOQiCgFqtNvC1arWKQqEwtL3CyWI+J7ijHRFRBE1657qwiEoYHrbozgjGRrUYYDCmaBAEATs7O5BluefxWq0GURSRy+V6Hs/n88hms6hUKgPnqlarkGW5px2jUqlA07SBUW39Uqnhi1rHdXx87PocHMlGRNSHVWJvRSEIj8NsxztjhjE39qAwMqq8sixjbm6uE2rr9frAsdlsFo1Gw7Q/WJIklMtlrK6uIp1Oo9VqQRRFNJvNkffw5MkT/MN/+A8xOzvrye53uq6jXq9b9ks7kWr71dyRAKenp5iensZP/QMZV169EfTtEJFH/AzFk6gShyUQhykMj9rAw/Q5Fts/A+jZ2KM7GBtzjI3NPRiMw+l5+xkefPotnJycTHwHNSM73P0P/zauXPf2d82LZ5/hO//TfxnI92VXOp3GycmJL+d+8eKFq+ezfYKIqEvUq8RhCMRRaZMYxU4bBTC6lYLtFES92u225x9eYCgmIpqQJPQSxyEM22U3GAPsMybqpmkaLi4uPPv4+GNvtrpmKCYi+hFWiccX9uqw3VnFA88btdMdgzGRI+l0Gnfu3PH0nJIkYXp62vV5GIqJiCbA7ypx0IE47MbpKR4HgzHRcH5Nn/Bi1BtDMRERol8lDkoUArFbTqrFAIMx0TDGltJes7Mb3ygMxUREPotrlTgqgXgSVWIGYyJ72u02Tk9PPT/v3t6e63MwFBNR4rFK7EzY+4e7eRWIR1WLzTAYE5l7/Phx0LdgiqGYiCjCJl0ljkoYBibXR2ww2waawZho0MbGRtC3YIqhmIgSze8qsZ+tEwzE1vwIxHaqxQzGRKNVq1X86q/+qi9tFG5wm2ciIhopSoE4aGfTUz073gG9W0I/n3kFV48/e7nBB7eFpgRZX19Hs9nEo0eP8Oabb+K1116DIAhIp9PI5/N48803A7s3hmIiSixWieNp0m0TdpkFY+CyamwEY4BbQ1O8vf/++76c98qVK9zmmYiI/BWlKrHfgdjugjuzNgrAvJUCYDsFkVtebPXMUExEicQqsT0MxONjMCaaHC82BWEoJiIiUwzE5pyMZ2MwJooO9hR74AdPb2DqRfzmnN689VnQt0DkC1aJR4tKIA5bddiJ/h5jAJ0FeFPHl6vyuQCPaHIYislSGDc0YFAn8l8UAnGUwrDZNIrO17qCMdA7mYLBmGiyGIopUqyCOsMyJQEnTkQrDHdjMKZ+108vcPWa+XtiXM/PvT1f0jAUUywwLI/nk6evJO41imrrRNLbJqIahrt5EYwBjmwj8gsX2lGsffL0lVC2gYSB8boYrxFfKwpbIL7+9OVHXFgtvAN6F98BvbvfcQEekf8YiikRGPZ6DXs94hySWSW2FqZAHIUg7GQChRNWwRjgZAqiYTinmMiBOIa8SYhrQKbwiUIY9sKwajHAYEw0josL9/3UDMWUOEkPd26+/yi/dqwSWwtDlTgJYbib22BshOOp19MMx0QeYSimRIpyuHPDi+87qa9dXDEQB2ecYMyqMZF/GIopsZIW7rz8fqP22kXtfpMkqYHYrv5gDLCdgqjfyckJFhcXXZ+HoZgSjWGJvBDV1okgq8RR7x++fup+UQ8wuloMMBgTjdJoNKDruuvzcE4xJV4SZvX6Ef6j8rrxLz7mgg7EUeZVIDYMm1/cOaZvjjHwcpYxAG70QbHitOqrqioEQXB9XYZiIkQn4IUNXzf/xHX3Ogbi8TkNxgA3+qBoajabtiu/giBgenrak+uyfYLoR+JaUfT7+wrz6zaJe/OrdcJPQVWJGYit2WmjAOy1UrCdgqJOFEUUi0VcXFxYfhwfH2Nvbw/Ly8tQVRVPnjxxfV2GYqIuYQ5445jU9xO31428F/VAPAlug/GwPmOGY4qSdDqNfD4/9Jjp6Wnkcjlsb2+jXC7j9PTU9XUZiokolqJcJfazdSKIKnEcAnGQbRNmzIIxYL0AD2DVmKKjXC7jzTfftH38xsYGNjY2XF+XoZioT1yqnpP+PuLyupG3GIidsVstBuwHY7ZTUNTMzs46fg63eSaiUAlLMA7LfYwjTlViBmL/2QnGANspKP5OTk5cn4OhmMhElEMVEOz9R/21syuKC+wmKeqB+PppO7BA7KRaDAwPxmynoKTQNM31OTiSjYhiJSmh3KkwbOccdmGvCg9jNq7N0D+2DQBnGlOoOVk0p2kaNjY2IIqi6+syFBNZiOoM3jCEwqi+dkGLy2ziqFWJwxiG7WzoMfAcm8EY4GYfSaYoCur1Oubm5jqzgNfW1lyfd2trC5lMBpIkuT6XIAhIpVKOjn/8+LHr6zIUE8VIGAJxkCb1/UetdWKSVeKoBOIwBmEvjArGALjZR4LVajXs7u6iWq12HlMUBdlsFvV6fezz6roOWZZ7zuuGKIrQNA25XG7ocel0GvPz81heXsbt27eHHmsHQzHREKx4jo+vnTNxqBKHPRBHLQiPUy0GhgdjwHoXPIBV4zjTdR2rq6sDFVVJkiDLMiqVCgqFwljnrlQqXtxihyAIqFQqePfddz097yhcaEdEsZD0KrkV9hIHu2guKFaL7wyjxrZxEV787O3tQRRFCIIw8LWVlRWUy+WxzqsoiictE90WFhY86RF2iqGYKCbCGArDeE9uRa11YlLCWCVOYhju5iQYA5xOEXfVahXptPnPVBRFqKra6TF2QlVVZDIZl3fXa3t729HmHV5hKCYaIY7BbpIm8fpF/WfkV+vEpKrEYQ3EceB0PNvA820EY1aNk6HRaFhWX43HnY41q1QqnizSCwuGYqIYiHooJPJK0qvDZkYFY4BV46i6ePEcz88/6/mwouu6aetENyehWNM0y8pzVHGhHZENXDTmjp+v3yT/QhCl1okkVonjGIbHWWhnZtTiO8B8bBvAmcZ+uaGf4+pVd/9KpD1WcHT0wPW9GGG51bL/863VarGqEgMMxUSRxypxtEV56gQDcbTYDcYAhs40Bji6LSzuvPGL+OJP/LnO58+fn+H//Gcl369bq9VGjkuLIrZPENFEMLxPTpImTrBdwhk7rRSAvXYKtlQEb2rqKq5efaXr48ZY5zEW2Nlph9B1Ha1WK5DpEH6LfKXYi51Z8vk80uk0isUiMpkMdF1Ho9FAuVzG+vq656sqKZrC2EKR9KCZ9O8/SGGoEsc9DHvVOtHPTsUYGN1OAbClIonitriuW6RDsVc7s+i6jlqt1jN8WhAEVKtVBmIiD4XxLxZ2+dFPHNXWCQbi6Bs3GAPmG34AbKkIO2OXODNGL/Go6q8f49fCJLKh2MudWTKZDGRZhqqqAC7fFHHslSGKE1aJzSWhdYKB2BtOgjEw2GcMsGocJca/hJsxwvKowKtpGnZ3dwc2+jDOu7Gxgd3dXaTT6bE3AwlSZEOxnZ1ZnGxXKEmS5zuyUPyEqdKZ5FCY5O89aEFXiZMSiP1qnehnNxgD1lVjAFyIFwHZbBalkvkivGazaSsD5XI506KhruuYmZnB+vp6pIuKkV1o59fOLETkL7eBNohAHJXWCb+rxAzE/rtxcjGxQDyO/gV4Bs41Dr/l5WW0Wi3TFoparYZisdjzmK7rUBRlUrcXCpENxX7szEIUFUmtlCb1+6b4B+Igw7DdiRSG/l3wDNwNL9wEQcDOzg5kWe55vFarmbaN5vN5ZLPZnvVWVoy85WTOcRhFtn3C7s4sdhvCNU3r+RtRs9nE+vr6yGsQkXPjtKEwECdXnANxWKrCTtooDGbtFAAX4oVZLpeDIAiQZblnapfZcIJsNotGo4GFhQXL86mqio2NjU4olmUZ9Xod2WzWUQtrWEQ2FA/jdGcWTdOgqmrPD1BVVczPz+Pw8HBkML744VnP56lrV5G6FsuXlhCuvuKkCDIQs3XiUlCtE3EMxGEJwv3GDcYARvYaA8EuxLtov8AFXnQ+f9529n3Gid01VGtrayNHr2UymZ4JYFHH5AaY/kAzmQwymQxWV1dH/sB//z/rbVyf/qU3MXOPi/bIH3GpmNr9y0Vcvl9yLk6BOKxBuN84wRgYXjUGgl+Ip53/DrTz357oNSl6YhmKnezMMkw2mx1oPDfzp/5bGVOfe7mLDKvERN5gIA6HIKrEcQjEUQnC/dwEY2CwagwE31IhXvsZ3Ln2053Pn7fP8e0ffjiRa1N0RHah3SQYodqYX2xl6nM3MPXqK50PhmLyS5JCYly/1yi2TpA9xmK5sE+QsMPp4rtuwyZUBLVd9FTqCq6mrnd9eN8WRdEX2VDsxc4sAFAsFgdWYhqc9iZTcsQ1sE2a1esYltfXj37iqGGVeLQ4hGCvWQVjwDocEwUtsqHYi51ZgMtNQKzCtfH4sJWXROStsARiCkaUAnHcw7CbajFgPbrNwBFuFDaRDcXZbNYyzNrdmQUACoWC5UK6er1uuWse0aTFNSx2f19x/R795GfrxKSrxFEJxHEPw14bFowB840/GI4pCJENxV7tzLK4uGjaM6zrOmq1muWWiEQUb1EZxUaTlbQw7LZabHBaNQYYjmnyIhuKvdqZJZfLoVwuDwTjpaUlFAqFSO/hTfER9wrqJ09fif33GDWsEvdiddgbDMcUZpEek+DVzizlchlbW1vY3d2FrutotVpYX19nIKahuIkHBS0uUyfCHIgZhMcf0TaM1Vxjg9XmHwB3xiP/pNrtdnh/G4Xc6ekppqen8cXKX8XUq6xyJdGkQjGrqJMXhfaJuPQThzEUMwz38joUdxsWjrt1B2TDuAH5efsZHnz6LZycnOD27dujn+AhIzv8wr/9V3H1qre/258//wzf/qd/M5DvKw4iXSkmSgIG4smLQiD2EwMxA3E3PwMxMLpqbOiZVBHwDnkUTwzFREREP8JAHIxhu+GZ6Q/I3T3HDMg0LoZiIhfYV0xB8at1IslVYgbiQX5XifuNGt/W7+rxZ5YBmeGYnGIoJgoxtk5QXDEQkxe6Q3R3QGY4pnFEdiQbUVj4FVwZiIOR9H7iJGIgNjfpKrFdZzPXej4M3QG5e7QbR7qRXawUExFFTNRbJ8JUJWYgNhfWQDxK/6K9i5nbA4vyAAB//K8mfWsDrupnuOr135dfnHl8wmRhpZgohFglJvIfA3GvG8fnnY8w674/s3vt70vu3wwEAKZem/H+xijyGIqJPMAQS1GXtCoxA/FLUQjCTtkJxkT92D5BFDIM2MFhP3EyJDkQxyX8jvN9mO2SR9SNoZjIIxzPRpMQ5a2dw1AlTlIgjksAHpfVpiAXM7dx8eIM+JcB3BSFGkMxUYiwSkxBmORs4iDFPRAnPQQTucVQTEREvgu6ShzXQMwgPJzdLaSJAC60I/IUK73R5Uc/sdei3DoRpDgG4jgujvOL013yKLlYKSYKCQbq+InCIrtJtE4EXSWOC4ZgIn+xUkxERLEVhyoxq8LusVpMdjAUE3lsnIovq8QUV0FWiaMeiBmGiSaL7RNERBHgRz9xUqZORA2DMFEwWCkm8oGTyi+rxMHjph3+YJXYGVaGiYLFUExERLES1UBM/mJfMY3C9gkiIqKAMAwThQcrxUQ+sdMWwdYJsiOK/cRBtU5EqUrMQEwULqwUE1GiRWHTDrInKoGYYZgonFgpJvLRsEowq8REycNAHBxu90yjsFJMROSxpE+eCKJ1IgpVYgbi4DAQv6QoCur1Oubm5qDrOgBgbW3N8XkqlQqazSZUVUWr1YIkSSiVSh7f7WQxFBMRJQznE08eA3FwGIhfqtVq2N3dRbVa7TymKAqy2Szq9brt88iyjGKxiEKhAADQdR35fB4zMzN4/PgxBEHw+tYngu0TRD4za5Ng6wTZ5cciu7gJe5WYgTgYV48/YyDuous6VldXsbOz0/O4JElotVqoVCq2zlOr1bCysgJRFDuPCYKAarXaCcdRxVBMRESeCXLDjjBiIJ4cIwQzDJvb29uDKIqmVdyVlRWUy2Vb5zk4OEAmkxl4XBAEFAoFKIrSacuIGoZioglgZTicOHki+sJcJWYg9kZ/2LX6oOGq1SrS6bTp10RRhKqqtsJspVJBNps1/dr8/DwAoNFojH2fQWIoJpowBuR4S/oiO7rEQGwfw+5kNBqNnpaHbsbjmqaNPM/CwoLl14xQbRW+w44L7Ygm5JOnr+DmLf6Cp2D5uchu0q0TYa0SMxBbY8gNjq7rIxfAaZpm2hrRbdiCvGazCQAjzxFWDMVEExTVKrHRZpC6xT/siYZhIO7FEOyvi4vnuGi/6Hz+/MXZWOcxwnKr1XJ1P5VKpTORIooYioloKPbdBoeTJ6yFsUrMQHyJQdieKf0UU1M3XJ2jqf8zNE/+L4/uyB1ZliGKYqRnFTMUE5GlOAfiOH9vNHlJD8QMwsGYm17E7O2XrQrPL57hn/zBNx2fx20vsKqqqFQqODw8jOyMYoChmIgsMDSSE5PsJw5blTipgZhBOHhTqauYSgUf5fL5PPb39y0X8kVF8K8kEYUOA3E8cSc7cotBOLpEUbScLmH0Eo8TarPZLMrlcmQX13VjKCaiHsMCcfvpNS62G4Lj2JInKVVihuHoy2QylnOIjbDsNNgWi0XIsgxJktzeXihwTjERdbBCTONIausEAzFFSTabtawUN5tNx8F2a2sL+Xx+4HmapkFRlLHvM0gMxUREIcTJExQ0bp4RL8vLy2i1WqbBuFaroVgs9jym67pluK3VashkMqZBWlXVyPYWs32CiACwSkzkRJyrxAzC8SQIAnZ2diDLMqrVaufxWq0GURSRy+V6js/n81AUBeVyuWf2sKqqKJfLyOfzqFQqnceN1ozd3V0cHh76+834hKGYiBIXiJP2/QLxWGQXptaJOGIYjr9cLgdBECDLMubm5jpB1myXumw2i0ajMbCt89LS0tAqclSrxABDMRERkSNxrBIzECeHJEm2+ofX1tawtrY28Pjx8bEftxUKDMVECee0asoJFNRtkovsyHsMw0QvcaEdEZEHOI7NX2FpnYhTlZiBmKgXQzEREZENDMRE8cZQTJRgSVxwRpR0DMRE5hiKiYhCxusZxX5NnphUP3EYWifiUiVmICayxlBMRInC6jglFQMx0XCcPkFERDRE1KvEDMNE9rBSTESOsdpKFA0MxET2MRQTJRSDLUVB0P3EUa4SMxATOcNQTETkUhJnFHPTjnBjICZyjqGYiIgoRhiIicbDUExERGQiyq0TROQcQzERUYz5NaN4EoLuJ44iVomJxsdQTERE1CeKVWIGYiJ3GIqJiELE693siIjIHm7eQUSJwTF0FFesEkfPxZNjXKSue3vO9jNPz5c0rBQT0VgYMJMr7uPYotg6QUTuMRQTEVHocJGdfawSE3mDoZiIiIgSZUo/DfoWKITYU0yUQGx9IIoHVomdmTq+DMP8dwgyw1BMREREsWaEYaJh2D5BRET0I1FaZMcqsT0MxGQXQzERUUxFeTc7Ii8wEJMTbJ/wwO+s/Bpu374d9G0QERGRDaenp5ie/h+Dvg0KGVaKiYiIiCjxGIqJiIiIKPEYiomIiIgo8RiKiYiIiCjxGIqJiIiIKPEYiomIiIgo8RiKiYiIiCjxGIqJiIiIKPEYiomIiIgo8SK/o52iKKjX65ibm4Ou6wCAtbW1wM5DREREFFbMTdYiHYprtRp2d3dRrVY7jymKgmw2i3q9PvHzEBEREYUVc9NwkW2f0HUdq6ur2NnZ6XlckiS0Wi1UKpWJnoeIiIgorJibRotsKN7b24MoihAEYeBrKysrKJfLvp/n7Oys53+JgnZ2doa//tf/Ot+TFBp8T1IYJfHP7zDkprCLbCiuVqtIp9OmXxNFEaqqdnpc/DpPEv+jonA7OzvD3/gbf4PvSQoNvicpjJL453cYclPYRTYUNxoNiKJo+jXjcU3TJnaeKPt7f+/vxeKabs85zvOdPMfusaOOC+LnFYQ4vC+DeE86fZ6dY706Juri8J704pz8XRlNzE2jRTYU67puWrrvZueH4tV5ooy/6Md/Pn/R+ycO70uG4niJw3vSi3Pyd2U0MTeNFunpE1aMH1ar1fL1PO12GwDwh3/4hz2P37hxAzdu3HB17Ul68eIFTk9PI39Nt+cc5/lOnmP32FHHDfu68fikf55+iMP7Moj3pNPn2TnWzTF8T4bvmkn8XXl2dtbTKmH8uW38OR6E5+1z1+e4aF/gAi9cn3NSuSnsYhmKJ+X8/PLN93M/93MB34l709PTsbim23OO83wnz7F77KjjRn39J37iJ2zfU5jF4X0ZxHvS6fPsHOv2GL4nw3VN/q68ZPw5PknXr1/HF77wBXz7X33oy/lv3ryJ69ev+3LuuItlKDYavK0awb06z507d9BsNnHt2jWkUqnO41GrFBMREcVZf6W43W7j/Pwcd+7cmfi9vPLKK3j8+DGePXvm+lz93xcA3Lp1C6+88oqj80wqN4VdLEPxpExNTVk2mw+j6zoURYEsy2g2mz7cGdGg7tmRzWYT6+vrI/vCiPzG34cUNltbWwAuf09qmoZyuTzWn/XDvPLKK46DK/kvsqFYFEXLRm6jl8XOm9ir89ilqioajQbS6XRkG9Epemq1Gur1emf3IV3XsbS0hMPDw4DvjJKMvw8pbGRZ7ikY1Go1zM3Nodlseh6MJy2quWmSIjt9IpPJWM7BM35YmUxmYuexK5PJoFAoeHpOolE2Njawvr7e+VwQBKTTaSiKEuBdUdLx9yGFjaIoPYvEcrkcBEGI9IYUhqjmpkmKbCjOZrOWf1NpNpuQJGmi5yEKK13XoarqwN/cRVHs2beeiCjJdF2HpmkDmSCdTkd2M4puzE2jRTYULy8vo9Vqmf5garUaisViz2O6ruM3f/M3USwWIcvy0PMY/W1//+//ffz4j/94p7+IaJJ0XR94v5ox3q+VSgVbW1sD71fjvd3fPywIAv/Jmhzz6n1J5BWv3pOCIOD4+Hgg1Gmahvn5ec/ve9LGyU1m/5ro9DyR0o6warXazuVyA49JktTz2NraWvvHfuzH2gDar7/+ertQKFiex/j/3eep1+sD53Sr2Wy2I/7yk0/W1tbauVyuXSqV2qIoDrxfu5n9N9D/fq3X66bvtbW1tXYmk/HuxinWvH5fduPvQxqHn+9JQ7lcboui6Mn9hoHd3NRut9uSJLUBtMvlsqvzREmq3Q5wcrUHFEVBvV7H3Nxc55831tbWBo7b2trCxsYGvvCFL+AXfuEXBvqDFEXBP/pH/wg7OzuQZRmf+9znes4zPz+PYrGIQqHgyX1rmoa5ublAB4dT+M3Pz2NhYcG0n03XdczOzuLx48cDVeDu96uiKMhmszg+Pu45TpZlKIrCxXbkmBfvy278fUhuef2e7H7e4eFhZBeOmXGam/b39017hO2eJ0oiO33CIEmSrf6VtbU1rK2tWf4TiCRJ0DQNP/VTP4W/9tf+2sDXV1ZWUC6XO//hKIpiu/GefZvkh729PYiiaDpWrfv9ajUvUtf1yM6SpPCy+74kmpRx35Orq6vY39+PVSAGnOcmt+eJksiHYi9Vq1XLkCCKIlRV7ez5Hcc3A0WL3fer8Qu91Wr1/KHQarUiu0KYwsvJ71GiSRjnPWmMZuPvyGSJ7EI7PzQaDcu/ERqPc2EShYXd96sgCMhkMgPvXU3TkM1mfb9PShb+HqWwcfqerNVqyGazPYG4e/Mjii+G4i52qhde/TKPw3gXCpaT9+v6+npPG4/x/uO/dpDXxvk9yt+H5Ccn70lFUXBwcIB0Og1VVaGqKmq12gTuksKA7RM2Gf9BdQ/1HoemaZ3dxQAgn89jcXERhUKB/5xInul/v+ZyObRaLVQqFaTTaRwcHGB/fz/AO6Qk6n9f8vchBa37PanrOvL5PHRdHxjXZrxHKd4YiidMFMWRzetEfuheSJLL5QK8E6JL/H1IYWLMKabkYvuETcY/73G1PkUB368URnxfUtjwPUndGIqJiIiIKPEYiruIomi5kM7ogYvbvEKKLr5fKYz4vqSw4XuS7GIo7pLJZCxXQRv/QXFmIYUF368URnxfUtjwPUl2MRR3yWazln+bbDabHF9FocL3K4UR35cUNnxPkl0MxV2Wl5fRarVM/+Op1WooFosB3BWROb5fKYz4vqSw4XuS7EpcKNZ13XLWsCAI2NnZgSzLPY/XajWIosgxVjRxfL9SGPF9SWHD9yR5IdVut9tB34Tftra2cHBwAE3ToKoqgMudvARBwMrKysB/EIqioF6vY25urtOHxDmaNCl8v1IY8X1JYcP3JHktEaGYiIiIiGiYxLVPEBERERH1YygmIiIiosRjKCYiIiKixGMoJiIiIqLEYygmIiIiosRjKCYiIiKixGMoJiIiIqLEYygmIiIiosRjKCYiIiKixGMoJiIiIqLEYygmIiIiosRjKCYiIiKixGMoJiIiIqLEYygmIiIiosRjKCYiIiKixGMoJiIiIqLEYygmIiIiosRjKCYiIiKixLsa9A0QEflB13Xk83kAgCAI2NnZgSAIAICtrS3U63UIggBd11EqlZDJZAK8WyIiChorxUQUS6urq6hWq6jX61AUpROQs9ksBEFAvV5HtVqFKIpYWloK+G6JiChorBQTUewoioLFxcVOZVgUxU4wzufzKBQKAC4rxpVKJcA7JSKisGAoJqLYqVarkGW587mmaQCAdDrdCcTAZVgGgFKpNHAORVFQLpeRTqcBXLZgmB0HALVaDfV6HXNzc3jy5InlOYmIKLxS7Xa7HfRNEBF5aX5+HoeHhwAuA/Hc3BwA4Pj4uFM9HkaWZSiK0jmH8ZiqqqjX6z3HViqVTptG92Plcrnn+UREFG4MxUQUO6qqdhbOVSoVFItFSJI0EGjNKIqCbDaLw8PDgcV3qVQK5XK5U23WdR0zMzOmx87NzUGW5Z7KNBERhRcX2hFR7HQHVCMIGwvtRjHaHsymUWQyGZTL5c7ne3t7lsdKktRzLBERhRtDMRHFWq1WA3AZUu1oNBqWLRYLCwtQVRW6rgNAZ3qFmbm5Oaiq6vh+iYgoGAzFRBRbiqIAuFxQZxVe++m63llc188Iy8bCvWEB2njcuAciIgo3hmIiii2jdcJulRi4DNCtVsv0a0YYNv53WIA2GFVlIiIKN4ZiIooto0prt58YuAzQVkHWaIewCs3dRoVlIiIKF4ZiIoolXdc7IdZJpbhUKkEQhE4vskFV1U4Lhp1WDCM42wnQREQUPIZiIoolo0rsJBADl73A+/v72NjY6JxDURQ0Go3OlAk7odioNrNiTEQUDQzFRBRbgiD07GxnVyaT6Wy8UalUOjvhGb3ERigWBMGyEmzsbGdnsxAiIgoet3kmoljK5XLI5XKuztFfZVZVteexhYWFTlC2ew4iIgonVoqJiLqoqor5+fmBGcOapkHTtM7mHsDlAj6rUKxpmummHkREFE4MxUREXRqNhummG6VSCblcrifoLi8vAzCfRawoCorFon83SkREnkq12+120DdBRBQWmqZBlmVUq9XOY7IsQ1GUTp9xt62tLezu7vZ8bWtrCwcHBz3nICKicGMoJiLqoygKyuUygMspEplMpqdtol+tVkO9Xsfc3Fxngd2w44mIKHwYiomIiIgo8dhTTERERESJx1BMRERERInHUExEREREicdQTERERESJx1BMRERERInHUExEREREicdQTERERESJx1BMRERERInHUExEREREicdQTERERESJ9/8DZx0pv5MO6W4AAAAASUVORK5CYII=", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "u_T_values_dressed = np.zeros((len(rho_arr), len(r90_vals_dressed)))\n", + "\n", + "for i, r90 in enumerate(r90_vals_dressed):\n", + " for j, rho in enumerate(rho_arr):\n", + " u_T_values_dressed[j, i] = u_t_dressed(rho, r90)\n", + "\n", + "# Creating the contour plot\n", + "X, Y = np.meshgrid(r90_vals_dressed, rho_arr)\n", + "plt.contourf(X, Y, u_T_values_dressed, levels=20, cmap='viridis')\n", + "plt.colorbar(label='u_T_values_dressed')\n", + "plt.xscale('log')\n", + "plt.xlabel(r'$r_{90}$')\n", + "plt.ylabel(r'$\\rho$')\n", + "plt.title('Dressed PBH')\n", + "plt.ylim(0,2.5)\n", + "plt.xlim(1e-1,100)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 3/3 [03:14<00:00, 64.68s/it]\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_67666/1992255736.py:70: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", + " result, error = quad(second_integral, d_min, d_max, epsabs=epsabs, epsrel=epsrel)\n", + "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_67666/1992255736.py:70: IntegrationWarning: The maximum number of subdivisions (50) has been achieved.\n", + " If increasing the limit yields no improvement it is advised to analyze \n", + " the integrand in order to determine the difficulties. If the position of a \n", + " local difficulty can be determined (singularity, discontinuity) one will \n", + " probably gain from splitting up the interval and calling the integrator \n", + " on the subranges. Perhaps a special-purpose integrator should be used.\n", + " result, error = quad(second_integral, d_min, d_max, epsabs=epsabs, epsrel=epsrel)\n" + ] + } + ], + "source": [ + "m_arr = np.logspace(-11, 4, 100)\n", + "\n", + "rate_dict_dressed = {}\n", + "\n", + "R90_values_dressed = [0.1, 10, 100]\n", + "for R90 in tqdm(R90_values_dressed):\n", + " func = partial(calculate_rate, R90=R90, u_t_func=u_t_dressed)\n", + " with Pool() as pool:\n", + " rate_arr = np.array(pool.map(func, m_arr))\n", + " \n", + " rate_dict_dressed[R90] = rate_arr" + ] + }, + { + "cell_type": "code", + "execution_count": 284, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100it [00:23, 4.18it/s]\n" + ] + } + ], + "source": [ + "# m_arr = np.logspace(-11, 4, 100)\n", + "# R90_values_dressed_expected = 0.019*1e-3 * (m_arr)**(1/3) * (1000/30) #in kpc\n", + "\n", + "# rate_arr_dressed_expected = np.zeros(len(m_arr))\n", + "\n", + "# for i, m in tqdm(enumerate(m_arr)):\n", + "# rate_arr_dressed_expected[i] = calculate_rate_dressed(m, R90_values_dressed_expected[i], u_t_dressed)" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 3/3 [03:33<00:00, 71.21s/it]\n" + ] + } + ], + "source": [ + "rate_dict_dressed_101 = {}\n", + "\n", + "for R90 in tqdm(R90_values_dressed):\n", + " func = partial(calculate_rate, R90=R90, u_t_func=u_t_dressed_101)\n", + " with Pool() as pool:\n", + " rate_arr = np.array(pool.map(func, m_arr))\n", + " rate_dict_dressed_101[R90] = rate_arr" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_67666/614136275.py:2: RuntimeWarning: divide by zero encountered in divide\n", + " fdm = 3.0 / (rate*obs_time*n_sources)\n" + ] + } + ], + "source": [ + "fdm_dict_dressed = {}\n", + "\n", + "for r90, rate_arr in rate_dict_dressed.items():\n", + " fdm_arr = fdm_constraint(rate_arr, params['obs_time'], params['n_sources'])\n", + " fdm_dict_dressed[r90] = fdm_arr" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_67666/614136275.py:2: RuntimeWarning: divide by zero encountered in divide\n", + " fdm = 3.0 / (rate*obs_time*n_sources)\n" + ] + } + ], + "source": [ + "fdm_dict_dressed_101 = {}\n", + "\n", + "for r90, rate_arr in rate_dict_dressed_101.items():\n", + " fdm_arr = fdm_constraint(rate_arr, params['obs_time'], params['n_sources'])\n", + " fdm_dict_dressed_101[r90] = fdm_arr" + ] + }, + { + "cell_type": "code", + "execution_count": 235, + "metadata": {}, + "outputs": [], + "source": [ + "dpbh_df_ogle = pd.read_csv('extended_dat/Mdpbh_ogle.csv', header=None)\n", + "pbh_df_ogle = pd.read_csv('extended_dat/Mpbh_ogle.csv', header=None)\n", + "dpbh_df_hsc = pd.read_csv('extended_dat/Mdpbh_hsc.csv', header=None)\n", + "pbh_df_hsc = pd.read_csv('extended_dat/Mpbh_hsc.csv', header=None)\n", + "\n", + "interp_ogle = interp1d(dpbh_df_ogle[0], dpbh_df_ogle[1], bounds_error=False, fill_value=1, kind='linear')\n", + "interp_hsc = interp1d(dpbh_df_hsc[0], dpbh_df_hsc[1], bounds_error=False, fill_value=1, kind='linear')\n", + "\n", + "# Define a range of X values covering both datasets\n", + "x_min = min(dpbh_df_ogle[0].min(), dpbh_df_hsc[0].min())\n", + "x_max = max(dpbh_df_ogle[0].max(), dpbh_df_hsc[0].max())\n", + "x_range = np.geomspace(x_min, x_max, 100) # You can adjust the number of points\n", + "\n", + "# Determine the maximum Y value at each X value\n", + "y_min = np.minimum(interp_ogle(x_range), interp_hsc(x_range))\n", + "\n", + "\n", + "def plot_existing_limits_dpbh(ax=None):\n", + " if not ax:\n", + " ax = plt.gca()\n", + " ax.fill_between(x_range, y_min, 1, alpha=0.2, color='gray')\n", + " \n", + " " + ] + }, + { + "cell_type": "code", + "execution_count": 236, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "for R90 in R90_values_dressed:\n", + " plt.loglog(m_arr, fdm_dict_dressed[R90], label=r'$R_{90} =$ ' + str(R90) + '$ ~R_{\\odot}$')\n", + "\n", + "# plt.plot(0, 0, ls='--', color='k', label='Existing Limits')\n", + "# plt.plot(0, 0, color='k', label='This Work')\n", + "plot_existing_limits_dpbh()\n", + "plt.ylim(1e-6, 1)\n", + "plt.xlim(1e-11, 1e2)\n", + "plt.legend()\n", + "plt.xlabel('$M_{DM} [M_{\\odot}]$')\n", + "plt.ylabel('$f_{DM}$')\n", + "plt.title('Dressed PBH Mock Roman')\n", + "# plt.savefig('figures/extended_limits_dressed.pdf')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### All plots" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "rho_arr = np.logspace(-1, np.log10(4), 50)\n", + "\n", + "plt.figure(figsize=(18,6))\n", + "plt.subplot(1,3,1)\n", + "\n", + "u_T_values_nfw = np.zeros((len(rho_arr), len(r90_vals_nfw)))\n", + "\n", + "for i, r90 in enumerate(r90_vals_nfw):\n", + " for j, rho in enumerate(rho_arr):\n", + " u_T_values_nfw[j, i] = u_t_nfw(rho, r90)\n", + "\n", + "X, Y = np.meshgrid(r90_vals_nfw, rho_arr)\n", + "plt.contourf(X, Y, u_T_values_nfw, levels=20, cmap='viridis')\n", + "plt.colorbar()\n", + "plt.xscale('log')\n", + "plt.xlabel(r'$r_{90}$')\n", + "plt.ylabel(r'$\\rho$')\n", + "plt.title('NFW Subhalo')\n", + "plt.ylim(0,2.5)\n", + "plt.xlim(1e-1,1e2)\n", + "\n", + "plt.subplot(1,3,2)\n", + "u_T_values_dressed = np.zeros((len(rho_arr), len(r90_vals_dressed)))\n", + "\n", + "for i, r90 in enumerate(r90_vals_dressed):\n", + " for j, rho in enumerate(rho_arr):\n", + " u_T_values_dressed[j, i] = u_t_dressed(rho, r90)\n", + "\n", + "X, Y = np.meshgrid(r90_vals_dressed, rho_arr)\n", + "plt.contourf(X, Y, u_T_values_dressed, levels=20, cmap='viridis')\n", + "plt.colorbar()\n", + "plt.xscale('log')\n", + "plt.xlabel(r'$r_{90}$')\n", + "plt.ylabel(r'$\\rho$')\n", + "plt.title('Dressed PBH')\n", + "plt.ylim(0,2.5)\n", + "plt.xlim(1e-1,100)\n", + "\n", + "plt.subplot(1,3,3)\n", + "u_T_values_axion = np.zeros((len(rho_arr), len(r90_vals_axion)))\n", + "\n", + "for i, r90 in enumerate(r90_vals_axion):\n", + " for j, rho in enumerate(rho_arr):\n", + " u_T_values_axion[j, i] = u_t_axion(rho, r90)\n", + "\n", + "X, Y = np.meshgrid(r90_vals_axion, rho_arr)\n", + "plt.contourf(X, Y, u_T_values_axion, levels=20, cmap='viridis')\n", + "plt.colorbar(label='u_T')\n", + "# plt.xscale('log')\n", + "plt.xlabel(r'$r_{90}$')\n", + "plt.ylabel(r'$\\rho$')\n", + "plt.title('Axion Star')\n", + "plt.ylim(0,2.5)\n", + "plt.xlim(0,5)\n", + "plt.tight_layout()\n", + "# plt.savefig('figures/u_T_all.pdf')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 482, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, axs = plt.subplots(3, 1, figsize=(12, 12), sharex=True) # 3 rows, 1 column, sharing x-axis\n", + "\n", + "# First subplot\n", + "ax = axs[0]\n", + "for R90 in R90_values:\n", + " ax.loglog(m_arr, fdm_dict_e[R90], label=r'$R_{90} =$ ' + str(R90) + '$ ~R_{\\odot}$', color=color_dict[R90], linewidth=2)\n", + " ax.loglog(m_arr, fdm_dict_e_101[R90], color=color_dict[R90], ls='--')\n", + "\n", + "plot_existing_limits(ax)\n", + "ax.text(1e-4, 5e-7, 'NFW Subhalo', fontsize=18)\n", + "ax.set_ylim(1e-7, 1)\n", + "ax.set_xlim(1e-11, 1e2)\n", + "ax.legend(loc='lower right')\n", + "# ax.set_ylabel('$f_{DM}$')\n", + "\n", + "# Second subplot\n", + "ax = axs[1]\n", + "for R90 in R90_values_dressed:\n", + " ax.loglog(m_arr, fdm_dict_dressed[R90], label=r'$R_{90} =$ ' + str(R90) + '$ ~R_{\\odot}$', color=color_dict[R90], linewidth=2)\n", + " ax.loglog(m_arr, fdm_dict_dressed_101[R90], color=color_dict[R90], ls='--')\n", + "\n", + "plot_existing_limits_dpbh(ax)\n", + "ax.text(1e-4, 5e-7, 'Dressed PBH-like', fontsize=18)\n", + "ax.set_ylabel('$f_{DM}$')\n", + "ax.set_ylim(1e-7, 1)\n", + "ax.legend(loc='lower right')\n", + "\n", + "# Third subplot\n", + "ax = axs[2]\n", + "for R90 in R90_values_axion:\n", + " ax.loglog(m_arr, fdm_dict_axion[R90], label=r'$R_{90} =$ ' + str(R90) + '$ ~R_{\\odot}$', color=color_dict[R90], linewidth=2)\n", + " ax.loglog(m_arr, fdm_dict_axion_101[R90], color=color_dict[R90], ls='--')\n", + " # ax.loglog(m_arr, m_arr**(1/2)*1e-2, color='k', ls='--', label=r'$f_{DM} \\propto M^{1/2}$')\n", + "\n", + "ax.text(1e-4, 5e-7, 'Axion/Boson Star', fontsize=18)\n", + "plot_existing_limits_axion()\n", + "# ax.set_ylabel('$f_{DM}$')\n", + "ax.set_ylim(1e-7, 1)\n", + "ax.legend(loc='lower right')\n", + "ax.set_xlabel('$M_{DM} [M_{\\odot}]$')\n", + "\n", + "fig.subplots_adjust(hspace=0.0) # Adjust this value as needed to reduce space\n", + "\n", + "\n", + "# If you want to save the figure\n", + "# plt.savefig('figures/extended_limits_all.pdf')\n", + "\n", + "plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Recreate Subaru" + ] + }, + { + "cell_type": "code", + "execution_count": 573, + "metadata": {}, + "outputs": [], + "source": [ + "# params_hsc = {\"l\": 121.2, \"b\": -21.6, \"source_dist\": 770, \"obs_time\": 7, \"cadence\": 0.07, \"n_sources\": 8.7e7, \"efficiency\": 0.7, \"A_t\": 1.34, \"survey_area\":0}\n", + "params_hsc = {\"l\": 121.2, \"b\": -21.6, \"source_dist\": 770, \"obs_time\": 7, \"cadence\": 0.033, \"n_sources\": 8.7e7, \"efficiency\": 0.5, \"A_t\": 1.34, \"survey_area\":0}" + ] + }, + { + "cell_type": "code", + "execution_count": 574, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + " 0%| | 0/3 [00:00" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#vdisp 220, 250 7.5 rSol NEW R90 Implementation\n", + "R90_plot_vals = [0.1, 50, 100]\n", + "for R90 in R90_plot_vals:\n", + " plt.loglog(m_arr, fdm_dict_hsc[R90]/params_hsc['efficiency'], label=r'$r_{90} =$ ' + str(R90) + '$ ~R_{\\odot}$', color=color_dict[R90])\n", + "plot_existing_limits()\n", + "plt.plot(0, 0, ls='--', color='k', label='Existing Limits')\n", + "plt.plot(0, 0, color='k', label='This Work')\n", + "plt.ylim(1e-6, 1)\n", + "plt.xlim(1e-12, 1e-3)\n", + "plt.legend()\n", + "plt.xlabel('$M_{DM} [M_{\\odot}]$')\n", + "plt.ylabel('$f_{DM}$')\n", + "plt.title('Mock HSC')\n", + "# plt.savefig('figures/extended_limits_e.pdf')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 72, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#vdisp 220, 250 7.5 rSol\n", + "r90_plot_vals = [0.1, 50, 100]\n", + "for r90 in r90_plot_vals:\n", + " plt.loglog(m_arr, fdm_dict_hsc[r90]/params_hsc['efficiency'], label=r'$r_{90} =$ ' + str(r90) + '$ ~R_{\\odot}$', color=color_dict[r90])\n", + "plot_existing_limits()\n", + "plt.plot(0, 0, ls='--', color='k', label='Existing Limits')\n", + "plt.plot(0, 0, color='k', label='This Work')\n", + "plt.ylim(1e-6, 1)\n", + "plt.xlim(1e-12, 1e-3)\n", + "plt.legend()\n", + "plt.xlabel('$M_{DM} [M_{\\odot}]$')\n", + "plt.ylabel('$f_{DM}$')\n", + "plt.title('Mock HSC')\n", + "# plt.savefig('figures/extended_limits_e.pdf')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#vdisp nfw\n", + "r90_plot_vals = [0.1, 50, 100]\n", + "for r90 in r90_plot_vals:\n", + " plt.loglog(m_arr, fdm_dict_hsc[r90]/params_hsc['efficiency'], label=r'$r_{90} =$ ' + str(r90) + '$ ~R_{\\odot}$', color=color_dict[r90])\n", + "plot_existing_limits()\n", + "# plt.plot(0, 0, ls='--', color='k', label='Existing Limits')\n", + "# plt.plot(0, 0, color='k', label='This Work')\n", + "plt.ylim(1e-6, 1)\n", + "plt.xlim(1e-12, 1e-3)\n", + "plt.legend()\n", + "plt.xlabel('$M_{DM} [M_{\\odot}]$')\n", + "plt.ylabel('$f_{DM}$')\n", + "plt.title('Mock HSC')\n", + "# plt.savefig('figures/extended_limits_e.pdf')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 173, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "r90_plot_vals = [0.1, 50, 100]\n", + "for r90 in r90_plot_vals:\n", + " plt.loglog(m_arr, fdm_dict_hsc[r90]/params_hsc['efficiency'], label=r'$r_{90} =$ ' + str(r90) + '$ ~R_{\\odot}$', color=color_dict[r90])\n", + "plot_existing_limits()\n", + "# plt.plot(0, 0, ls='--', color='k', label='Existing Limits')\n", + "# plt.plot(0, 0, color='k', label='This Work')\n", + "plt.ylim(1e-6, 1)\n", + "plt.xlim(1e-12, 1e-3)\n", + "plt.legend()\n", + "plt.xlabel('$M_{DM} [M_{\\odot}]$')\n", + "plt.ylabel('$f_{DM}$')\n", + "plt.title('Mock HSC')\n", + "# plt.savefig('figures/extended_limits_e.pdf')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Generating Light Curves" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Functions" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "# Define the density profile of the extended lens, here an NFW profile with truncation radius 100 rs.\n", + "# Note that r90 = 69*rs for an NFW profile.\n", + "\n", + "def rhoNFW(r, r90):\n", + " rs = r90/69\n", + " if 0 < r < 100*rs:\n", + " return(((r/rs)*(1 + (r/rs))**2)**-1)\n", + " elif r >= 100*rs:\n", + " return(0)\n", + " else:\n", + " print(\"ERROR: r/r90 are not a valid non-negative float.\")\n", + "\n", + "# Define the density profile of the extended lens, here a dressed PBH profile with truncation radius 100 rs.\n", + "# Note that r90 = 86.9*rs for a dressed PBH profile.\n", + "\n", + "def rhoDressedPBH(r, r90):\n", + " rs = r90/86.9\n", + " if 0 < r < 100*rs:\n", + " return((r/rs)**-(9/4))\n", + " elif r >= 100*rs:\n", + " return(0)\n", + " else:\n", + " print(\"ERROR: r/r90 are not a valid non-negative float.\")\n", + "\n", + "# Define the density profile of the extended lens, here a sech^2 with truncation radius 20 rs.\n", + "# Note that r90 = rs/2.799 for a sech^2 profile.\n", + "\n", + "def rhoAxion(r, r90):\n", + " rs = r90/2.8 # 1710.04729 pg 11\n", + " if 0 < r < 20*rs:\n", + " return((3/(np.pi**3 * rs**3))*np.cosh(r/rs)**-1)\n", + " elif r >= 20*rs:\n", + " return(0)\n", + " else:\n", + " print(\"ERROR: r/r90 are not a valid non-negative float.\")\n", + "\n", + "# Define the density profile of the extended lens, here a sech^2 with truncation radius 20 rs.\n", + "# Note that r90 = rs/2.799 for a sech^2 profile.\n", + "\n", + "def rhoSphere(r, r90):\n", + " rs = r90/0.965\n", + " if 0 < r < rs:\n", + " return(1)\n", + " elif r >= rs:\n", + " return(0)\n", + " else:\n", + " print(\"ERROR: r/r90 are not a valid non-negative float.\")" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "def M(rho, va, vb, r90, rmax):\n", + " f = lambda vp, z: vp * rho(np.sqrt(vp**2 + z**2), r90)\n", + " # rmax = (100/69)*r90 # nfw\n", + " integral = dblquad(f, -rmax, rmax, va, vb)\n", + " return(integral[0])\n", + "\n", + "def Ms(rho, r90, vmin, vmax, vincrement, rmax):\n", + " \n", + " output = np.array([])\n", + " vs = np.arange(vmin, vmax, vincrement)\n", + " running_int = M(rho, 0, vmin, r90, rmax)\n", + " for i in np.arange(len(vs)-1):\n", + " this_int = M(rho, vs[i], vs[i+1], r90, rmax)\n", + " running_int += this_int\n", + " output = np.append(output, running_int)\n", + " \n", + " return((vs+vincrement)[0:-1], output)\n", + "\n", + "#Since we don't care about the actual masses, we work in ratios with respect to the total mass.\n", + "def Mratios(rho, r90, vmin, vmax, vincrement, rmax):\n", + " tab = Ms(rho, r90, vmin, vmax, vincrement, rmax)\n", + " Mtot = M(rho, 0, rmax, r90, rmax)\n", + "\n", + " if rho == rhoDressedPBH:\n", + " tab[1][:] += Mtot*0.01\n", + " Mtot = Mtot*1.01\n", + " return (r90, tab[0], tab[1]/Mtot)\n", + " return(r90, tab[0], tab[1]/Mtot)\n", + "#Here, we calculate $u$ as a function of $v$. Note that the mass-ratios also have a $v$-dependence.\n", + "def u(r90, vs, Mrats):\n", + " return(vs - vs**-1 * Mrats)\n", + "#This code checks for places in which the slope of the $u(v)$ curve flips, implying $v(u)$ is multi-valued. It then splits a given set of $u, v$ pairs into various curves corresponding to the different branches.\n", + "def signChanges(us):\n", + " # Things are safe up to this element of the array\n", + " usign = np.diff(np.sign(np.diff(us)))\n", + " flipidxs = np.nonzero(usign)[0]+1\n", + " \n", + " return(np.append(0,np.append(flipidxs, -1)))\n", + "def splitCurves(us, vs):\n", + " signchanges = signChanges(us)\n", + " \n", + " curves = []\n", + " for i in range(len(signchanges)-1):\n", + " ucurve = np.array(us[signchanges[i]:signchanges[i+1]])\n", + " vcurve = np.array(vs[signchanges[i]:signchanges[i+1]])\n", + " \n", + " curves.append(np.array([ucurve, vcurve]))\n", + " \n", + " return(curves)\n", + " \n", + "#centerdiff is a helper function for the numerical derivative we will perform to get the magnification curve.\n", + "def centerdiff(array):\n", + " return([array[i+1]-array[i-1] for i in range(1, len(array)-2)])\n", + "#This function performs a numerical derivative to calculate the value of the magnification for each $u, v$ pair, then returns a tuple of the corresponding $u$-values and $A$-values that allows one to construct $A_i(u)$ for each branch of solutions $i$.\n", + "def magnificationCurve(us, vs):\n", + " return(us[1:-2], np.abs((vs[1:-2]*centerdiff(vs))/(us[1:-2]*centerdiff(us))))" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "def totalMagnificationCurve(curves, umax, nsteps):\n", + " \n", + " # This must be a symmetric range in order to compute negative contribution correctly.\n", + " # umags = np.append(-np.flip(np.arange(ustep, umax, ustep)), np.arange(ustep, umax, ustep))\n", + " \n", + " Amags = np.array([])\n", + " umags_unsort = np.array([])\n", + " \n", + " for curve in curves:\n", + " us = curve[0]\n", + " vs = curve[1]\n", + " \n", + " u1s, A1s = magnificationCurve(us, vs)\n", + " if len(u1s) == 0:\n", + " continue\n", + " u1min = np.min(np.abs(u1s))\n", + " u1max = np.max(np.abs(u1s))\n", + " u1step = (u1max-u1min)/nsteps\n", + " # u1mags = np.append(-np.flip(np.arange(u1min, np.min([u1max, umax]), u1step)), np.arange(u1min, np.min([u1max, umax]), u1step))\n", + " u1mags = np.append(-np.flip(np.geomspace(u1min, np.min([u1max, umax]), nsteps)), np.geomspace(u1min, np.min([u1max, umax]), nsteps))\n", + " \n", + " umags_unsort = np.append(umags_unsort, u1mags)\n", + " \n", + " umags = np.sort(umags_unsort)\n", + " \n", + " loop = 0\n", + " \n", + " for curve in curves:\n", + " us = curve[0]\n", + " vs = curve[1]\n", + " \n", + " u1s, A1s = magnificationCurve(us, vs)\n", + " if len(u1s) == 0:\n", + " continue\n", + " A1mags = np.interp(umags, u1s, A1s)\n", + " A1mags[umags > np.max(u1s)] = 0\n", + " A1mags[umags < np.min(u1s)] = 0\n", + " \n", + " if loop == 0:\n", + " Amags = A1mags\n", + " else:\n", + " Amags += A1mags\n", + "\n", + " \n", + " # We must also account for the negative image branch.\n", + " Amagstotal = Amags + np.flip(Amags)\n", + " \n", + " return(umags, Amagstotal)\n", + " \n", + " " + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "def find_uT(Athresh, umags, Amags):\n", + " if np.max(Amags) < Athresh:\n", + " print(\"A always < Athresh.\")\n", + " return(0)\n", + " elif np.min(Amags) > Athresh:\n", + " print(\"A always > Athresh.\")\n", + " return(np.inf)\n", + " elif Amags[0] > Athresh:\n", + " uT = umags[np.argmax(Amags < Athresh)]\n", + " elif Amags[0] < Athresh:\n", + " uT = umags[np.argmax(Amags > Athresh)]\n", + " else:\n", + " print(\"Error in uT computation.\")\n", + " \n", + " return(uT)" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [], + "source": [ + "def GenerateMagnificationCurve(rho, r90, vmin=0.00001, vmax=6, vstep=0.001, umax=6, nusteps=1000, AT=1.34, plot=False, save=False):\n", + " \n", + " if rho == rhoNFW:\n", + " rmax = (100/69)*r90\n", + " elif rho == rhoDressedPBH:\n", + " rmax = (100/86.9)*r90\n", + " elif rho == rhoAxion:\n", + " rmax = (20/2.8)*r90\n", + " elif rho == rhoSphere:\n", + " rmax = r90/0.965\n", + " else:\n", + " print(\"Invalid choice of profile. Exiting.\")\n", + " return()\n", + " \n", + " r90, vs, Mrats = Mratios(rho, r90, vmin, vmax, vstep, rmax)\n", + " us = u(r90, vs, Mrats)\n", + " curves = splitCurves(us, vs)\n", + " # print(\"There is/are \"+str(len(curves))+\" positive branch(es).\") \n", + " \n", + " if plot:\n", + " fig, ax = plt.subplots(2, 1, figsize=(6,6))\n", + " \n", + " color = iter(plt.cm.rainbow(np.linspace(0, 1, len(curves))))\n", + " for curve in curves:\n", + " c = next(color)\n", + " ax[0].plot(curve[0], curve[1], c=c)\n", + " ax[0].plot(-np.flip(curve[0]), -np.flip(curve[1]), c=c)\n", + " ax[0].set_ylim([-2, 2])\n", + " ax[0].set_xlim([-3, 3])\n", + " ax[0].set_xlabel('u')\n", + " ax[0].set_ylabel('v')\n", + " \n", + " umags, Amags = totalMagnificationCurve(curves, umax, nusteps)\n", + "\n", + " uT = find_uT(AT, umags, Amags)\n", + " # uT = find_uT(1.01, umags, Amags)\n", + "\n", + " print(\"u_T = \"+str(np.abs(uT)))\n", + " \n", + " # Save output\n", + " # np.save(rho.__name__+\"_r90=\"+str(r90)+\".npy\", np.array([umags, Amags]))\n", + " if save:\n", + " np.save('r90_data/'+rho.__name__+\"_r90=\"+str(r90)+\".npy\", np.array([umags, Amags]))\n", + "\n", + " if plot:\n", + " ax[1].scatter(umags, Amags, s=1)\n", + " plt.yscale('log')\n", + " # plt.xscale('log')\n", + "\n", + " ax[1].set_xlim([-3,3])\n", + " ax[1].set_ylim([0.9, 1e3])\n", + " ax[1].plot([-15,15], [1.34, 1.34])\n", + " # ax[1].plot([-15,15], [1.01, 1.01], ls='--', color='k')\n", + "\n", + " ax[1].set_xlabel('u')\n", + " ax[1].set_ylabel('A')\n", + " \n", + " return(umags, Amags)" + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "u_T = 0.9934097500076854\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#axion\n", + "# umags, Amags = GenerateMagnificationCurve(rhoAxion, 0.5, vmin=0.00001, vmax=3, vstep=0.001, umax=4, nusteps=1000, AT=1.34, plot=True, save=False)\n", + "# umags6, Amags6 = GenerateMagnificationCurve(rhoAxion, 0.6, vmin=0.00001, vmax=3, vstep=0.001, umax=4, nusteps=1000, AT=1.34, plot=True, save=False)\n", + "umags0, Amags0 = GenerateMagnificationCurve(rhoAxion, 0.01, vmin=0.00001, vmax=3, vstep=0.001, umax=4, nusteps=1000, AT=1.34, plot=True, save=False)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "2005.021604875475" + ] + }, + "execution_count": 28, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.max(Amags)" + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(umags0, Amags0, linewidth=2.5, label=r'$r_{90} = 0.01$')\n", + "plt.plot(umags, Amags, linewidth=2.5, label=r'$r_{90} = 0.5$')\n", + "plt.plot(umags6, Amags6, linewidth=2.5, label=r'$r_{90} = 0.6$')\n", + "plt.axhline(1.34, ls='--', color='k')\n", + "plt.text(-1.9, 2.0, r'$A_T = 1.34$', fontsize=18)\n", + "\n", + "plt.xlabel('u')\n", + "plt.ylabel('A')\n", + "plt.xlim(-2,2)\n", + "plt.ylim(0.9, 4e3)\n", + "plt.yscale('log')\n", + "plt.title('Axion Star')\n", + "plt.legend(fontsize=18)\n", + "# plt.savefig('figures/mag_curve_axion.pdf')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 212, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "u_T = 0.9922123046508637\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#w/o pbh\n", + "GenerateMagnificationCurve(rhoDressedPBH, 0.1, vmin=0.00001, vmax=6, vstep=0.001, umax=6, nusteps=1000, AT=1.34, plot=True, save=False)" + ] + }, + { + "cell_type": "code", + "execution_count": 217, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "u_T = 0.9891213748754543\n" + ] + }, + { + "data": { + "image/png": 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7lJmBpKxCKq1I3ZZtXPpYfMtqzrCaYZhNlO++bfajOjNpbk9HFpoyI9KZhduJoJIUWs6eMoMDsFJ79+7VQw89lNPXLPip9KmnnlJfX5+CwaAMw5DX69WFF15Y6GKsSnxivEydgSXp2LFjKf1/1lobI0n+HvMLANbq3IwUOyZFJ8wRa7HXzHWuTr2Rup07m5ufV1phjmQr25Q+uCe2G1IfK40/Vp76z0JJWfb7WZ8rMb/kWbjtyeP9pH+g4hY/ltKku/ixVeyT9ftytc8KyuhZxxQLe/bs0b333pu4H4vFllQErFbOg0wsFlvSoTcWi2lwcFDd3d0Kh8MyDEPNzc0KBALavXt3rotgicrKyqLtyAzAmc6ekt75jfTOC+ZXdHwhuEyYI9ZW2mRRUWk2VW6qljbVmF8bF7abqs1mzUSz5xaz43j89oYtZoChhhErsZ5uF5nk/K23Y8cOnThh9lQ9evSo+vr61N/fL0mqqqrS1772NXV2dmrHjh25/tHr4vP5FA6H0z4X7xsTH70EAIViGGZtyomkwBL/Ovl69u8t2yR5r5K826WtV0hbLzVXGd9yycLtS8yvso0F+VWAvMh5kDEMQ3fddZeOHDmiUCgkwzDU0NCgzs5O3XHHHbn+cTnT0NCQaEJaLB5wGHoNIF/mZs0JCuMzKydmWX7B7JeSyQUXS9veL134fqnm6vPBxbtd2nwRI9XgfHmpDOzv75dhGGppadGePXt0ww035OPH5JTf71d3d3fa58bGxtTc3FzgEgFworlZ6cSL0tvPmctAxL9OvGgO5U+npEyqea8ZVrZdc/7rwvebTT+Am+UlyNxxxx3q7u5WVVVVPl4+L9ra2hQIBBQOh5c0IQWDwYwhBwAyMQxzCYjXfi69fkg6fkh64xlz6HE65ReYASVlhuUPmLMuF9O8HUAxyUuQic8XYyder1f79+9XIBBIWf06GAzK5/OppaXFwtIBsIvpE9LYk1J4RBo/IE29snSfisqFJSDqzdXCL6o3Q0tV7cJoGAArlvMgk2mafztoaWmR1+tVIBBQXV1dos/M8PCwtQUDUNSm35F+/aj0fFAaf8qcnC2upFy6rFG6/EPS5TeaX9V19F0BcsVjGIbN5hQsLrlYghyA/RiG9Mq/SKN90q+/nzofy8W/I/lulnzN0pW/y0rhQCa5uIYy8h8AVsEwpN/8o/STv5TefOb845fcIF3bLtXfanbMBVAYBBkAWKFXfyo98b9Lb4TM++Wbpetul3Z2SpcyOwNgCYIMACzjTFT68f8pHf1b8/6GLdKNfyLddK+56jgA6xBkACCLYwel739JmnrVvH/Dv5N275UuuMjacgEwEWQAIIPRfulHd5ujkKrrpC/8N6l2l9WlApCMIAMAixiG9NT90v/6unn/X31J+r195vwvAIoLQQYAFkkOMR9/UPr4XzDvC1CsCDIAkOTgI+dDzGd7paa7rS0PgOyYDBsAFrz0uDTcZd5u7ibEAHZAkAEASdEJ6dHbJBlSY6f0kS6rSwRgJQgyAFzPMKR//Io5X8zlH5I+/f9YXSIAK0WQAeB6of3SxNNS2Sbplv8ulVVYXSIAK0WQAeBq0yfO94vZ/XWpps7a8gBYHYIMAFf7l4elmSnp4g+ayw4AsBeCDADXmhyXDveat/1/JZWUWlseAKtHkAHgWgf/SpqflXzNUp3f6tIAWAuCDABXevdt6ei3zdsf/b+sLQuAtSPIAHClw38jnTsjXbZTuurjVpcGwFoRZAC4zvw5abTPvH3TfayjBNgZQQaA67z8Y+nUG9LmbdIHvmB1aQCsB0EGgOvE+8Zcd7tUusHasgBYH4IMAFeZPiH95gfm7Rv+0NqyAFg/ggwAV/nND8wh1xf/jvkFwN4IMgBc5YV/MLfX3GJtOQDkBkEGgGvMnJTGnjRvf4AgAzgCQQaAa7z8hDQ3I1XXSe/5V1aXBkAuEGQAuMZLPzK31/wb5o4BnIIgA8AVDEMKj5i36z5lbVkA5A5BBoArnPiNdPJ1qbRCuvJ3rS4NgFwhyABwhbFhc3vlR6TyTdaWBUDuEGQAuML4QrPSjmZrywEgtwgyABzPmJcmfmLe9hFkAEchyABwvLefl2ampPILpEtvsLo0AHKJIAPA8Y4dNLeX3yiVlFlbFgC5RZAB4Hiv/czc1u6ythwAco8gkyQajaqzs1OBQMDqogDIoXiNzBU3WVsOALlHJaukQCCgcDispqYmjYyMqLmZ3oCAU0y/I5140bx9xYetLQuA3CPISOru7k7cHhgYsLAkAHLttV+Y223XSJsvtLYsAHKPpiUAjnb8iLm9/EZrywEgPwgyABztzWfM7SUN1pYDQH4QZAA4WiLIXG9pMQDkCX1kciQWi6Xcr6ioUEVFhUWlASBJ0yekqVfN2wQZwHozMzOamZlJ3F987VwLamRypLa2VlVVVYmvvXv3Wl0kwPXePGpuq33SxipLiwJA0t69e1OulbW1tet+TWpkcuTYsWOqrKxM3Kc2BrBeolmJZQmAorBnzx7de++9ifuxWGzdYYYgkyOVlZUpQQaA9QgyQHHJR7cL2zYt+f1+eTyeNX1Fo1Griw+gAN5YCDIsFAk4l21rZIaHh60uAoAidm7m/Iy+F3/Q2rIAyB/b1sgAQDaRlyRjTqqokrZeZnVpAOQLQQaAI739vLm9qF7yeKwtC4D8IcgAcKTkIAPAuQgyi0SjUUUiEauLAWCdCDKAO9i2s28u9fT06PDhwwqHw4kvv98vr9er9vZ2tbS0WF1EAKtEkAHcgSAjqaury+oiAMihudnzI5YIMoCz0bQEwHEmx6T5WWnDFqly/TOgAyhiBBkAjhNvVtr2AUYsAU5HkAHgOG89Z25pVgKcjyADwHHe+bW53fYBa8sBIP8IMgAcJ/KSub3wfdaWA0D+EWQAOIphSCfiQeZqa8sCIP8IMgAc5fQJaWbKvF1dZ21ZAOQfQQaAo8RrYyprpfJN1pYFQP4RZAA4Srx/TM17rS0HgMIgyABwlMjL5raG/jGAKxBkADhKhI6+gKsQZAA4SryPDDUygDsQZAA4hmEkNS3RRwZwBYIMAMeYfmdh6LVHqmHoNeAKBBkAjhHvH1NVK5VttLYsAAqDIAPAMegfA7gPQQaAY9A/BnAfggwAx5gcM7csTQC4B0EGgGNEJ8xt9Q5LiwGggAgyABwjOm5uvQQZwDUIMgAcYfa0dOpN8zY1MoB7EGQAOMLUK+a2olLaWG1tWQAUDkEGgCNMxpuVtksej6VFAVBABBkAjkD/GMCdCDIAHGGSIAO4EkEGgCNMTZhb73YrSwGg0AgyABwhXiPDiCXAXQgyAByBPjKAOxFkANjeTEw6HTFv07QEuAtBBoDtxZcm2HShVLHV0qIAKDCCDADbo38M4F4EGQC2F6+RoX8M4D4EGQC2F02a1ReAuxBkANgeI5YA9yqzugDFor+/X2NjYwqFQopEImpublZ3d7fVxQKwAvSRAdyLICMpEAios7NTHR0dkqRoNKrW1lZVV1drfHxcXq/X2gICyCq+8nXVVdaWA0Dhub5pKRgMqr29XT6fL/GY1+vV0NBQItAAKF5npsx5ZCSp6kprywKg8FwfZA4fPqyGhoYlj3u9XnV0dGhkZETRaLTwBVulmZkZPfjgg5qZmbG6KK7HsSisqVfN7aYLpQ0XLH2e41E8OBbFxSnHw/VBpr+/X36/P+1zjY2NkqQjR44UskhrMjMzo4ceesj2b0gn4FgUVuyYua2qTf88x6N4cCyKi1OOh+uDzM6dOzM+F6+JqampKVBpAKxWvEaGZiXAnVzf2Xd4eDjjc2NjY5KUtukJQHGIB5lKggzgSq4PMtn09/cnRjJlYhiGJOn1119XLBZLPF5RUaGKioq8li9Z/GcnlwHW4FgU1htj0hlJZRdJ6f7kHI/iwbEoLlYcj5mZmZSmrJMnT0o6fy1dC4+xnu92sEAgoGAwqNHR0azDr1977TXV1mZonAcAAMs6duyYrrjiijV9L0EmjVAopN27d2t0dDRlWHY68/PzmpiYUHl5uTweT+LxQtfIAABQ7BbXyBiGodnZWW3fvl0lJWvrtmvbIOP3+zUyMrKm752cnMxay1JXV6ehoSH6xgAAUORsG2Tyxe/3KxAIqLm52eqiAACAZRBkknR2dqq1tZUQAwCATbh+Hpm4np6etCEmHA6vuQkLAADkF8OvZa631NDQkLYmJhQK2bKvTE9PT8bfaWRkRMPDw6qrq0tM+tfV1VXgEjrXalZS51jkD3/bwuO9X/wceW0wXG50dNRobm42+vr6Ur66u7uN7u5uo6Ghweoirtrk5KQhyRgaGlry3NDQkNHS0pLy2PDwsNHc3Fyo4jlaV1eXMTY2lrg/OTlpNDc3G16v15icnEzZl2ORP/xtC4/3fvFz6rXB9UHG6/UakjJ++Xw+q4u4at3d3WnfrJOTk2lPKoZhGA0NDUZfX1+BSuhMQ0NDxujo6JLH4yeP5BMCxyJ/+NsWHu99e3DqtcH1fWQmJydlmIEu7Vd8mQK7GBkZydhZeXBwUD6fL+3Q8/b2dvX19eW5dM62mpXUORb5w9+28HjvFz8nXxtcH2ScJlufnqGhoYwLYPp8PoVCocTJBqu3mpXUORb5w9+28HjvFz8nXxsIMg7S39+ftWPWkSNHMs5UHH88HA7npWxusJqV1DkW+cPftvB47xc3p18bCDIOEQ6HMybquGg0mnVG4/jrYG2Gh4czrqa+eCV1jkX+8LctPN77xcsN1waCjEMEg0G1tLSs+fvjb+JIJJKjEiHZSlZSj+NY5A9/28LjvW8tN1wbCDIOsN43KvIrEAjI5/NlnE8DcCre+9Zyy7WBCfFsLhqNKhKJLLtK90peR9KyVZBYnVAopP7+fo2Oji5bdRvHscgf/raFw3vfWm66NlAjYxG/3y+Px7Omr+Te46uptkV6uToW6bS2turAgQPrPpkAdsN731puujZQI2ORTB3jVmO1yyf4fL6MHbbi7Z9uPOnk4lik4/f71dfXl/YYcSzyh7+t9XjvW8tt1waCjI2Fw2ENDAwsmawoXkuwd+9eDQwMqKamJnFSyVSDEH8T23FdqWLU2dmpQCCQcQIqjkX+8Le1Fu9967nt2kCQsbGWlpa0Hbmi0aiqq6u1Z8+elOf9fn/GTndjY2MZTzxYnWwrqYfDYTU3N3Ms8oi/rXV47xcHt10b6CPjIm1tbYpEImmrEIPBoDo7Oy0olbMst5J6vHqWY5E//G2twXvfvux+TKiRcaD4m3HxuH+v16v9+/crEAhoaGgo8XgwGJTP53PFML18CoVC6uvrU2trq/r7+xOPx6tsBwYGNDo6KoljkU/8bQuP9749OPXa4DEMw7C6EMiNUCikvXv3KhwOKxQKyev1Jqpyk3uvj4yMaHh4WHV1dYkTTbbpq7Ey1dXVWUcx+Xy+JYuQcizyh79t4fDeL25OvzYQZAAAgG3RRwYAANgWQQYAANgWQQYAANgWQQYAANgWQQYAANgWQQYAANgWQSZJNBpVMBhUXV2d1UUBAAArwMy+C0KhkI4cOaKampqMq4ACAIDiwoR4i4TDYdXV1Yk/CwAAxY+mJQAAYFu2blqKRqMKBALyer0ZlyCX7Lt+BAAAyM6WQSYQCCgcDqupqUkjIyNpl42PCwaDGhgYSFnRc2RkRH6/X8PDw4UoLgAAyBPb95FpbGzUzp071dfXt+S5aDSqHTt2aHx8XF6vd8n3dXZ2pqz8KdFHBgAAO3F0H5nBwUH5fL4lIUaS2tvb04YfAABgH44OMkNDQ6qpqUn7nM/nUygUSvSZAQAA9uPoIHPkyBH5fL60z8UfZ84YAADsy9FBJhqNpm1WSrY4yFBDAwCAfdhy1FIuxANOJBKRZAaaYDCYGMnU2tqqpqYmdXR0ZA1D8/PzmpiYUHl5uTweT+LxiooKVVRU5K38AADYzczMjGZmZhL3DcPQ7Oystm/frpKStdWtuDbILObz+dTV1bXq+WUmJiZYmwkAgHUYGxvL2BVkOa4NMvEmpEydgVeqvLxcknTo0CFdeumlicepkbGvWCym2tpaHTt2TJWVlVYXByt06YM/1vTsvDaXl+iNBz+VeDzT8cy0P4obn097W1wj88Ybb+jGG29MXEvXwrVBJlfizUmXXnqprrjiCotLg1yqrKzkRGkjnorN8pTMy1Nekva4LT6ey+2P4sbn01mSu2aslqM7+/p8voyjkuJ9Y9ZalQUAAKzn6CDT0NCQcRRSPOA0NDQUsEQAACCXHB1k/H5/xhqZsbGxrGs0rVS8Hwz9YZyjoqJCDzzwAMfUITiezsLxdJZcXEMdHWTa2toUiUTShplgMKjOzs51/wyCjPNUVFTowQcf5Jg6BMfTWTiezkKQkTn6KN7fZTGv16v9+/crEAikPB4MBuXz+dTS0lKIIgLIs30HJ3R6dl6StLG81OLSACgkW45a6unp0eHDhxUOhxNffr9fXq9X7e3tKQGlpaVFXq9XgUBAdXV1iT4z8YnvANjf/Y+/IEPmf2YPf/oaq4sDoIBsGWRWO2ldc3NzTvrDZNPU1KTS0lLdc889uueee/L6swCkOnNuTpK0sbxEd+7abm1hACyrt7dXvb29mpubW/dr2TLIFKPDhw8zpwEAACsQ/6c/FoupqqpqXa9l+z4yAADAvQgyAFxpY5nZKfjM7Lz2HZywtjAA1owgA8D2ZueMlO1KPPwZs1PwvKT7HnsuH8UCUAAEGQC2d27eSNmuxJ27tiu+ukt86DYA+yHIALC9shJPyjbf3wegeBBkANheeaknZZvv7wNQPAgyAADAtggyAADAtggyOdLU1KT6+nr19vZaXRTAVVhnCbCf3t5e1dfXq6mpad2vxcy+OcLMvoA1WGcJsB9m9gWABayzBLgbQQYAANgWQQaAa7FMAWB/BBkArvXwZ66RR+YyBfc/8YLVxQGwBgQZAK51567t2lRungbPzM5ZXBoAa0GQAQAAtkWQAQAAtkWQAQAAtkWQAQAAtkWQAWBbLE8AgCCTI6y1BBQeyxMA9sRaS0WItZaAwmN5AsCeWGsJAABABBkALscyBYC9EWQAuBrLFAD2RpAB4GosUwDYG0EGAADYFkEGAADYFkEGAADYFkEGgC0xqy8AiSADwKaY1ReARJABYFPM6gtAIsgAAJPiATZGkMkRFo0E7ItJ8YDCyuWikR7DMIwclMm14gteTU1NsWgkUEBb9vxI07Pz2lxeolN7P1d0rwdgebm4hlIjAwAAbIsgAwAAbIsgAwAAbIsgA8B2mAwPQBxBBoDtMBkegDiCDADbYTI8AHEEGQAQk+IBdkWQAQAxKR5gVwQZAJB0567t2lRunhLPzM5ZXBoAK0WQAQAAtkWQAWAryUOvc212zkjZAih+BBkAthIfei3lfg6Zc/NGyhZA8SPIALCV+NBrj3I/h0xZiSdlC6D4EWQA2NKmPMwhs7WiTJI0N28wBBuwCYJMjjQ1Nam+vl69vb1WFwXAGjEEGyiM3t5e1dfXq6mpad2v5TEMg8bgdYjFYqqqqtLU1JQqKyutLg7geFv2/EjTs/PaXF6iU3s/Z7vXB3BeLq6h1MgAAADbIsgAsA1WvQawGEEGgG2w6jWAxQgyAGyDVa8BLEaQAYAkrIIN2AtBBgCSMAQbsBeCDAAkYRVswF4IMgAAwLYIMgBsgaHXANIhyACwBYZeA0iHIAPAFhh6DSAdggwALMIQbMA+CDIAsAhDsAH7IMgAwCIMwQbsgyADAABsiyADoOgx9BpAJgQZAEWPodcAMiHIACh6J2fOSZJKSzwFG3odH7k0PTuv274zWpCfCWD1CDI50tTUpPr6evX29lpdFMBxzs0bKdtCePgz52t+Bo4eL9jPBdygt7dX9fX1ampqWvdreQzDKNyZwYFisZiqqqo0NTWlyspKq4sDOFJF1w81O2+ovMSjmZ7fc/zPBdwiF9dQamQAFLV9BycSNTFbN5YV9GeXl3pStgCKD0EGQFGjoy+AbAgyAIqalWsssVQBUPwIMgCQAUsVAMWPIAMAGbBUAVD8CDIAihYz+gJYDkEGQNGioy+A5RBkABQtKzv6xtHhFyhuBBkAyIIOv0BxI8gAQBZ0+AWKG0EGQFGioy+AlSDIAChKdPQFsBKWB5mjR49aXQQARejkzDlJUmmJx7KOvnHxDr/Ts/O67TujlpYFQCrLg0xra6vVRQBQhOILRca3Vnr4M+drhAaOHrewJAAWszzIRCIRq4sAoMjsOziheHyJd7S10p27tqu8xFwBu6yElbCBYmLZGeKpp55SU1OTotGoVUUAUKTuf9wc5lwi6ZHPX2ttYRaUl3pStgCKQ0GDzNGjR3XXXXfpwgsvlN/v1+gobc0AliqGifAWY2I8oDjlPchMTExoz549uvrqq9XY2Kj+/n5NTk7KMAx5vd58/3gAyAkmxgOKU16CTCwW0yOPPKKrr75adXV16unp0djYmAzD0O7duzU0NKT5+XlFIhEZhvUd+QBgOUyMBxSnsly9UCwW0+DgoPr6+hQKhSQpEVKam5vV2tqqtrY2VVVVpXxfc3NzrooAwAGYCA/Aaqw7yDz66KPq6+vTyMiIpPPhpaGhQe3t7frGN76hJ598MuP3Z3sOgPswER6A1VhTkHn00Uc1MDCgYDAo6Xx48fl86uzsVEtLi3bs2CFJ6uvry1FRAbhBMXb0jdtYVqrp2flEh99iKx/gRisOMk899ZSGhoY0ODioaDSaCC9er1cdHR1qb2/XDTfcsOT7PB6GKgJwhoc/c43uefTZRIdfggxgvRUFmT/90z9VT0+PPB5PYrRRW1ubWltbtXv37nyX0RaamppUWlqqe+65R/fcc4/VxQFsqdj7x9y5a7vue+y5hVoZOvwCa9Xb26ve3l7Nza3/c+QxVjhsaGRkRH19fTpw4IB6enrU1tamysrKZb/v6quv1ksvvbTugharWCymqqoqTU1NrejvASCzLXv+SdOzc/JI6r3luqKs8diy50eanp0v6jICdpGLa+iKh183NzdraGhIkUhE1dXV+qM/+iO1t7fr0UcfXdMPBoDFTifVchRrQIhPjGeI+WSAYrCmeWRuvfVWDQ4Oqr+/XydOnNDNN9+s9vZ2PfXUU7kuHwAXKbPBekbxifEk5pMBisG6JsSrqqrSHXfcoSeffFL9/f0aHR3VzTffrLvuuktHjx7NUREBuMG+gxOJla63bszZFFc5lzwxHgDr5ezTWFVVpa997Wt68skn1dXVpe9973u6+eabNTY2pl/+8pcZv4/AA0Cy1/wxrLsEFI+8/FuxY8eOxER4o6Oj+vu//3t96lOf0iOPPKKJiYnEflNTU2psbMxHEQDYTDHPH7MY6y4BxSPv9bc33HBDYn6ZAwcO6Bvf+IbGx8fV0NCQmFAPAOyEYdhA8ShoQ/Tu3bsT88709/drbGyMCfMAFP38MQCKl2U91jo6OlhnCYAk6b7HnpchyaPi7x8TF+8nMz07r9u+M2pxaQD3srTrfXNz85LVsAG4y76DE5q2wfwxiz38mfOBa+DocQtLArib5WMIDxw4YHURAFjo/sfPd5Ztv/4yC0uyOnfu2q5yG8x7Azid5UEm3UKTANwjPlppc3mJvnu7vUYxbq0wuxnOzRsMwwYsYnmQAQC7Yhg2YD2CDADL2H20UvIsvwzDBqxBkAFgGTvN5psJs/wC1iLIALDMyZlzkqTSEo9tRistFh+9NC/pvsees7YwgAsRZABYYt/BCc0uLBIZXyzSju7ctT2xGna8mQxA4RBkAFjCrsOu09mU1L+H5iWgsAgyACxh52HXiz3y+Xp5JBli9BJQaAQZAAVn99FKizF6CbAOQQZAwTlhtNJijF4CrEGQAVBQ+w5OaPL0rCRpY3mJbUcrLcboJcAaBBkABRWvjZGc0awUd+eu7YkT6jS1MkDBEGQAFFS8k69HzmlWimtLGn1Fp1+gMAgyAAomuZNv9eZyxzQrxX339kZtptMvUFAEGQAF48ROvgCsRZABUDDxZiUndfJdjNFLQGERZAAUxG3fGdW0g+aOyYTRS0BhEWQAFMTg0eOJ205uVmL0ElBYBBkAebfv4ITiyyludnCzUhyjl4DCIcgAyLv4ApElkh75/LXWFqYAvnt7o2o2lUuSotOz1MoAeUSQAZBXTp3Jdzn0lQEKgyADIK+cOpPvcugrAxQGQQZAXjl5Jt/l0FcGyD+CTI40NTWpvr5evb29VhcFKBpOn8l3Ocz0C6TX29ur+vp6NTU1rfu1PIZhGMvvhkxisZiqqqo0NTWlyspKq4sDFJUte/5J07Nz8kjqveU61wUZSdr2508ostBH6IvXX6bv3t5ocYmA4pGLayg1MgDyYt/BCU0n1UK4McRI5zv9StJA0lw6AHKDIAMgL+JDriWpPamviNvcuWu7Nid1cqbTL5BbBBkAOZc85Lpmc7nrm1Me+Xy9PJIM0ekXyDWCDICcu++x52XInSOV0rlz13ZVL0yQF5me1W3fGbW4RIBzEGQA5BR9Y9KjrwyQHwQZADlF35j06CsD5AdBBkDO3Pad0cRQY/rGLJXcV+aP/+FZwgyQAwQZADkzmNRkQt+YpZL7yswbdPwFcoEgAyAn9h2c0PzC7c0uWhxytR7+zDUq8Zi3WRkbWD+CDIB123dwQn/8D89KMk8qj3z+WmsLVMTu3LVd3/zCdZJYGRvIBYIMgHW7//EXNL+w2InXhWsqrRYrYwO5Q5ABsC7Jk9+VeOgbs1KsjA3kBkEGwJrFm5QMmSeTb37BnQtDrsV3b29UDZPkAetGkAGwZjQprU/yJHnfO3qcJiZgDQgyANYkuUmJpQjW5s5d2/XFpCYm5pYBVo8gA2BN7n/8BS1Uxqia2pg1S25iYm4ZYPUIMgBWLXkGXzr4rl/y3DL0lwFWhyADYFX2HZzQ95Jm8KWD7/olzy0j0V8GWA2CDIAVS574TpK+eP1lhJgcob8MsDYEGQArljxKiUUhc4/+MsDqEWQArAj9YgqD/jLA6hBkACyLfjGFQ38ZYHUIMgCyuu07o7r7UfrFFBL9ZYCVI8gAyGhxTczf3HId/WIKhP4ywMoQZACkxQgl69FfBlgeQQbAEvEQwwgla6XrL7Ptz5+gmQlIQpABsETyMGtGKFlrcX+ZyOlZmpmAJAQZAAn7Dk5o2188kVgMssTDCKVi8N3bG/U3t1xHMxOQBkEGgKTzzUmR6VkZkkoJMUWFZiYgPYIMAElLm5P+X0JM0aGZCViKIAO4HM1J9kIzE5CKIAO4GM1J9kQzE3AeQQZwqfiMvTQn2VO6ZiZmAIYbEWQAl4k3JSXP2FuzqZyaGBta3Mw0b0h3P/osTU1wlTKrCwCgcBZPdCeZM/Yy2Z19xcPn/U+8oMi02c/pe0eP68nfvK2HP3MN4RSOR40M4BLpmpJYO8kZ7ty1Xe/85adpaoIrEWQAh6MpyT3SNTXd8+izdASGo9G0BDjYbd8ZTQkwEk1JTpfc1BSdntW8ztfOJD8POIXHMAxj+d2QSSwWU1VVlaamplRZWWl1cQBJZi1Mcp8JyayFoc+EuyzuE+WRVM37AEUkF9dQgsw6EWRQTPYdnNB9jz2n6dn5lMephXGveKiN185IBBoUD4JMESDIoBiku1hJ1MLgvHQj1iRCLqyVi2sofWQAm0vXD6ZEUhsXKCRJ7jtzZnYuUWvHUG3YHTUy60SNDKwQr4FJviBJ1MBg5RYHYI+kTeUl2lhWynsIBUPTUhEgyKBQksPLmdl5zS96niYCrFamJkn60KBQCDJFgCCDfItfbCYXFnaM4z9o5ArvMViFIFMECDLIh2y1L/y3jHxZ7n1HqEGuEWSKAEEGucJFBMWE9yMKgSCTY/39/YnbY2Nj2rNnj7xeb9bvIchgPbhYwA54nyJfCDI5FAwGNTAwoKGhIUlSNBrV7t27NTo6mvX7CDJYjeQLgiQuCrCdlYQaSbyHsSIEmRxqbGzU/v371dDQkHjM7/crEAioubk54/cRZJDNcsFFIrzAvpYbSUewwXIIMjkSjUZVXV2tycnJlKakzs5OSVJfX1/G7yXIIC75pL6xrFQ3v/8iDf3yuOYWfcI4ucOJVhvab37/RfrZK5MKfOK9vP9dzPVBJhqNKhAIyOv1qru7O+N+IyMjGh4eVl1dnaLRqCSpq6sr8XwoFFJjY6MW/ykCgYBCoZCGh4czvjZBxn3iJ2wZ0s3vv0hPvvh22v9ISz3SnEFwgTstF2wyfT4IOO7i2iUKAoGAwuGwmpqaNDIykrXpZ3HfF8kMNn6/PxFQIpFIxu/P9hycLV0Ny5Mvvp0yedjiGhf+4wRMd+7anvK+z1ZjGZ+denp2PvHYPY8+q/seey7lsydD/COAJWxdIyOZfVt27tyZtvknGo1qx44dGh8fXzL6qLGxUZ2dnero6EgEm8VNS4FAQCMjI1k7/FIjYz/7Dk6o++mXddNV1YnalMUny3TNQvH/IKXzc7kk18hQ2wKszuJam0xNstk+e4trRvkc2otra2RWanBwUD6fL+0Q6vb2dvX19amjo0M1NTVpvz8ajWZ8DsUlXXNPuhNc8knytejpxMkx+T9B6XxNy+IaFv4rBHJnca1N3Md8F2atDY2cnk37eZXMz/L9T7yQ9Xyw+DafZ3tzdJAZGhrKGER8Pp9CoZCi0ah8Pp8ksxkpOfREIpGUUUzIj+Qakp+9MpmoKYmfbNI9tvj5k2fOKXJ6VpKynuDi90s9UusHL8taI0OzEGCNTAFnpf+wyNCy54Pk29mCz0rOSQQhazm6aam6ulptbW1pn4t38B0dHVVDQ4MaGxvV3d2d0t8m3WOLxavFjh8/rsrKSl1wwQWJ586cOaO5ubmM37t582Z5PB5J0szMjM6dO5eTfTdt2qSSErPz3NmzZzU7O7uifb/5kxf1V0/9Rh+qrdYvjk0u2d5Ud7F+cSymm66q1sGxt3Tj5VvT7veh2modmJiSx2OGg4Pht3XjZVuW7vPyO5IhqaxckzPzKvVI586dU+n8OcX/aqWS5pK2Ki1XWWmp5gzJmJ9T6dys5mSu+ixJMqTdV28zX7ukTJ+qv1RPvvi2Ts+c1UbNa/fV2/SLY5O692N1+qMPX5X4O2zYsEHl5eZrzM3N6cyZMxn/ZuXl5dqwYcOq952fn9fp06dzsm9ZWZkqKirMX9kwND09nZN9S0tLtXHjxsT9d999Nyf7lpSUaNOmTWvad3p6eklH/DiPx6PNmzevad/Tp09rfn7xuJrzkj/Lq9l3uc+9nc8Ry+27ceNGlZaWrnrf2dlZnT17NuO+FRUVKisrW/G+//nQa7r/iRdkzM1p946qxLkmcW6I3x6PylNivu6Jd89Ic7PnzzVadP4pKZOntMw8T82dP/dI5vlnS0Vp4vz24R0X6dDrp3TTVdX68QtvSrOziXPP4vNl8r4Hx0/oxks3ZzyvHnr9pHbVvUc/e2VSH66t0sGxN5ecy+Lsco6IxWK67LLL1tc9w7C5hoYGo6OjI+1zkoyurq60z42OjhqSjKGhIcMwDGNoaCjldSYnJ42GhoZlf/7U1JQh83JsSDK+9HdHjO0PDxvf+um40fCJz6Q8t/jryr/4gfGtn44b3/rpuHHBDf6s+36hdzjxuh+75fas+17+1b9LlOOaz/5B1n0v+5P9iX03ffT3s+5b+vt/bXi++gOj7L4fGPrYv826r9r+w/l9P9mZdd+tX3zI2P7wsPGlvztiXHjLfVn33XLLn5n7/fnjxpZb/izrvt/+9rcTx+mHP/xh1n2/+c1vJvZ9+umns+7b09OT2PfQoUNZ933ggQcS+/7qV7/Kuu99992X2Hd8fDzrvnfffXdi37feeivrvl/+8pcT+546dSrrvi0tLUs+Q5m+PvvZz6bsu3nz5oz7fvzjH0/Zd9u2bRn33blzZ8q+V111VcZ96+vrU/atr6/PuO9VV12Vsu/OnTsz7rtt27aUfT/+8Y9n3Hfz5s0p+372s5/N+ndL1tLSknXfU6dOJfb98pe/nHXft956K7Hv3XffnXXf8fHxxL733Zf9M/erX/0qse8DDzyQdd9Dhw4l9u3p6cm679NPP53Y95vf/GbWfX/4wx8m9v32t7+ddd/BwcHEvoODg1n3jZ8jvvXTcWPrFx/Kuu8Fn77buPD+x40v/d0R4+KvPJJ135KP/dvz57/f/+us+3pu+uL5fb+c/e+gnV8wyu77geH56g+M0jv2Z9336t2tiWtGzw+PZN33w5+51fjWT8eN7Q8PG637/2fWfTdf+9GU61y2fS/74EcS+33rp+OGp3xjxn2npqaMtXJ001I28Sak+KiklpYWRSIR9ff3q6amRocPH9aBAwdW/bqDh17WnCF9Y/is3n7rVNZ9X42eUffTL0uS3j2b+b8ySfrBc29qflOVup9+WSden8q67+tTZ85Xmy5ThuOxmcS+Gz1Zd9Xu923Ti6WbdNNV1Xri2XJNZtm3sqJM5Qsd8n78Qrmyjf36g8Yr1HufWev1t+ee1R8+mnnf//LF69Xa2ihJGho6qbYs+wLASty5a7tqJxv1e9/LvE/379Xrnns+LUn65ytO6hP/JfO+v3NZpaLV5rnynybDynbGvvaSrTq1sO9PDv1Wx7PsW7mxTJ/74GX62SuTuu7yi/VYln1fPvGuNHla3U+/rLl3o1n2lJ59M6bup1/WK5OndeytbGd2aXp2LnHNiF+/MnkjNpMog6SMtaXr5eimJY/Ho66urrRzzITDYdXV1SU6/K5VvGlpsc995d/rU7ffpUf++cVE1eC9H6uTJP3f/zJmVhO+eVp/+smrJUnfGH5eN15emXa/Xxyb1K73XqqfvxpV4BPv1ezZGT3y9ItLqh7j3/cfD76mXTsu1M9emdSNl2/Rz8ffXtG+X/3dK/WHOy/P+LsWS7VxfN9z585pZmYm477JzUWr2ZemJZqWJJqW1rIv5whTIc8R//nnr6RcKxJNVtu36dDxdxX4xHtlGIa+8eSvMnYbuO8T71P5hgp1P/2yPnylVwdffiPjdesXr8X0kfdenOhDOHN6OuXnJ+//4asu1KE3phX4xHslSXt//Ky2PPOonn/sb5f8bq6dEE9ae5CJ95EZGhpSS0vLmn9+PMgcO3Ys5SBUVFQkLh4AAMAM2cmBMRaLqba2luHXxaCyspJ5ZAAAyCIf/+SX5PTViozP51M4HE77XLxvTHzoNQAAsB9HB5mGhobE2kqLxQPOeueJiVeRZWtbhb3MzMzowQcf5Jg6BMfTWTiezpKLa6ijg4zf789YIzM2NpZ1fpiVIsg4z8zMjB566CGOqUNwPJ2F4+ksBJlltLW1KRKJpA0zwWBQnZ2dFpQKAADkiu2DTDQazbhCtdfr1f79+xUIBFIeDwaD8vl86xqtBAAArGfLUUs9PT06fPiwwuFw4svv98vr9aq9vT0loLS0tMjr9SoQCKiuri7RZ2Z4eDgnZYmPXj958qRisVhOXhPWih9HjqczcDydhePpLCdPnpS0vsnybD+PjNXiE+sBAIC1GRsbW/MoYoLMOs3Pz+v48ePaunVrYlZNAACwPMMwdPLkSV122WWJGaRXiyADAABsy/adfQEAgHsRZAAAgG0RZAAAgG3Zcvi1HfX09KihoSEnswmj8Pr7+zU2NqZQKKRIJKLm5ua0q6qjeIyMjGh4eDhl2oWuri5rC4U14fPnDmu+ThrIu8nJSUOSMTQ0ZHVRsAZdXV3G2NhY4v7k5KTR3NxseL1eY3Jy0rqCIaOhoSGjpaUl5bHh4WGjubnZohJhrfj8ucN6rpM0LRVAf3+/1UXAGgWDQbW3t6fMb+D1ejU0NKRoNKrW1lYLS4d0otGo7rjjDu3fvz/l8ebmZkUiET6PNsLnzz3W87kkyOTZyMgIzUk2dvjw4bQrpHu9XnV0dGhkZCTjCuuwxuDgoHw+n7xe75Ln2tvb1dfXV/hCYU34/LnDeq+TBJk8C4VCaT+IsIf+/n75/f60zzU2NkqSjhw5UsgiYRlDQ0OqqalJ+5zP51MoFOLiZxN8/txhvddJgkwe9ff307nQ5nbu3JnxufjFMNNFE9Y4cuRIxqnO44+Hw+FCFglrxOfP+XJxnWTUUp6Ew2E+YA6QbXHRsbExSaLGrchEo9G0zUrJwuEwx80G+Pw5W66uk9TI5EkwGExZhRvO09/fr46ODquLgVWIB5xIJGJtQbBufP7sL1fXSYJMHhBinC8QCMjn8zGXBWABPn/2l8vrJE1LORaNRhWJRNa8HDmKXygUUn9/v0ZHR5dtwkBxoV+F/fH5s79cXyepkVng9/vl8XjW9JU8AoLqzuKQq+OZTmtrqw4cOEBYBSzA58/+cn2dpEZmQbZOZSvFUOvikYvjmY7f71dfXx/HuYj5fL6Mo5LifWO4CNoTnz/7y8d10mMYhpHTV3SxYDCogYGBJY9Ho1GNjIyooaFBPp9PNTU1TMplQ52dnWptbWWCwyLX2tqqaDSaNsz29/ers7NTnPbsh8+fM+TjOkmQKYBoNKrq6moNDQ3RCdimMi1mFg6HFQ6HObkWkf7+fnV3dyeG5yYLBAIKhUJ5q7FDfvD5c771XCfpIwMsIxgMZlyRNRQK0UxRZNra2hSJRNI2LwWDQXV2dlpQKqwVnz8shz4yBRA/oTJ3hf2EQiH19fWptbU1ZVGzeIfggYEBjY6OWlQ6pOP1erV//34FAgENDQ0lHg8Gg/L5fNSK2gifP/dYz3WSpqU8CoVC2rt3r8LhsEKhkLxer5qbm+X3+xnZZBPV1dVZRzH5fL60TRiw3sjIiIaHh1VXV5c4hiwZYi98/pwvF9dJggwAALAt+sgAAADbIsgAAADbIsgAAADbIsgAAADbIsgAAADbIsgAAADbIsgAAADbIsgAAADbIsgAAADbIsgAAADbIsgAAADbIsgAAADbIsgAAADbIsgAAADbIsgAAADbIsgAAADbIsgAAADbIsgAAADbIsgAsLXOzk41Njaqrq5OHo9H0Wg05flwOCy/36/GxkZVV1ersbHRmoICyAuCDABba21tVWdnp8LhcNrnfT6fAoGAdu7cuSTkALA/j2EYhtWFAID1am1tVTAY1OTkpLxeb9p9PB6PGhoaNDo6WtjCAcgbamQAAIBtEWQAAIBtEWQAAIBtEWQAAIBtEWQAAIBtEWQAAIBtEWQAuAJzyADORJAB4Ag1NTVZnx8ZGSlQSQAUEkEGgCPElx7INMPv8PBwxonyANgXQQaAI7S1tcnr9Wrv3r1LngsEAgoEApKkUCikkZERmpoAh2CJAgCOEY1GFQgEFA6H5fP5EjUwe/bskdfrVXV1tSSzGcrr9bJUAeAABBkAAGBbNC0BAADbIsgAAADbIsgAAADbIsgAAADbIsgAAADbIsgAAADbIsgAAADbIsgAAADbIsgAAADbIsgAAADbIsgAAADbIsgAAADbIsgAAADbIsgAAADbIsgAAADb+v8BrUVHe92UjjMAAAAASUVORK5CYII=", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#w pbh\n", + "GenerateMagnificationCurve(rhoDressedPBH, 0.1, vmin=0.00001, vmax=6, vstep=0.001, umax=6, nusteps=1000, AT=1.34, plot=True, save=False)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Generation" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [], + "source": [ + "r90_vals_dressed = np.round(np.logspace(-1, np.log10(300), 50),2)\n", + "r90_vals_nfw = np.round(np.logspace(-1, np.log10(1000), 50),2)\n", + "r90_vals_axion = np.round(np.logspace(-1, np.log10(40), 50),2)\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "def generate_wrapper_nfw(r90):\n", + " GenerateMagnificationCurve(rhoNFW, r90, vstep=0.0005, save=True, nusteps=1000)\n", + "\n", + "with Pool() as pool:\n", + " for _ in tqdm(pool.imap(generate_wrapper_nfw, r90_vals_nfw), total=len(r90_vals_nfw)):\n", + " pass" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# for r90 in tqdm(r90_vals_nfw):\n", + "# GenerateMagnificationCurve(rhoNFW, r90, vstep=0.0005, save=True, nusteps=1000)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "def generate_wrapper_dressed(r90):\n", + " GenerateMagnificationCurve(rhoDressedPBH, r90, vstep=0.0005, save=True, nusteps=1000)\n", + "\n", + "with Pool() as pool:\n", + " list(tqdm(pool.map(generate_wrapper_dressed, r90_vals_dressed), total=len(r90_vals_dressed)))" + ] + }, + { + "cell_type": "code", + "execution_count": 1589, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 50/50 [00:00<00:00, 635500.61it/s]\n" + ] + } + ], + "source": [ + "# for r90 in tqdm(r90_vals_dressed):\n", + "# GenerateMagnificationCurve(rhoDressedPBH, r90, vstep=0.0005, save=True, nusteps=1000)" + ] + }, + { + "cell_type": "code", + "execution_count": 1595, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 50/50 [00:00<00:00, 373823.89it/s]\n" + ] + } + ], + "source": [ + "def generate_wrapper_axion(r90):\n", + " GenerateMagnificationCurve(rhoAxion, r90, vstep=0.0005, save=True, nusteps=1000)\n", + "\n", + "with Pool() as pool:\n", + " list(tqdm(pool.map(generate_wrapper_axion, r90_vals_axion), total=len(r90_vals_axion)))" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + " 96%|█████████▌| 48/50 [37:50<02:53, 86.64s/it]" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "A always < Athresh.\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + " 98%|█████████▊| 49/50 [39:25<01:28, 88.98s/it]" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "A always < Athresh.\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 50/50 [41:05<00:00, 49.30s/it]" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "A always < Athresh.\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "\n" + ] + } + ], + "source": [ + "# for r90 in tqdm(r90_vals_axion):\n", + "# GenerateMagnificationCurve(rhoAxion, r90, vstep=0.0005, save=True, nusteps=1000)" + ] + }, + { + "cell_type": "code", + "execution_count": 86, + "metadata": {}, + "outputs": [], + "source": [ + "def create_functions_from_file(file_path):\n", + " data = np.load(file_path)\n", + " mag_interp = interp1d(data[0, :].flatten(), data[1, :].flatten(), kind='linear')\n", + " umax = mag_interp.x[-1]\n", + " umin = min(abs(mag_interp.x))\n", + "\n", + " def mag_wrapper(u):\n", + " if u >= umax:\n", + " return 1\n", + " elif u <= -1*umax:\n", + " return 1\n", + " elif abs(u) < abs(umin):\n", + " return mag_interp(umin)\n", + " elif mag_interp(u)<1:\n", + " return 1\n", + " return mag_interp(u)\n", + "\n", + " def integrand_polar_fl(r, theta, u):\n", + " x = r * np.cos(theta)\n", + " y = r * np.sin(theta)\n", + " return mag_wrapper(displacement(x, y, u)) * r\n", + "\n", + " def magnification_fl(u, rho):\n", + " integrand = lambda r, theta: integrand_polar_fl(r, theta, u)\n", + "\n", + " result, _ = nquad(integrand, [[0, rho], [0, 2 * np.pi]], opts={'epsabs':0, 'epsrel':1e-1})\n", + " return result / (np.pi * rho**2)\n", + "\n", + " def u_t_fl(rho, A_thresh=1.34):\n", + " #! Starting from 0 where do you first drop below threshold? Make sure caustics arent defining time\n", + " func = lambda u: magnification_fl(u, rho) - A_thresh\n", + " u_min = 0\n", + " u_max = 15\n", + "\n", + " try:\n", + " return brentq(func, u_min, u_max)\n", + " except ValueError:\n", + " return 0\n", + "\n", + " return magnification_fl, u_t_fl" + ] + }, + { + "cell_type": "code", + "execution_count": 87, + "metadata": {}, + "outputs": [], + "source": [ + "magnification_fl_dict_nfw = {}\n", + "u_t_fl_dict_nfw = {}\n", + "\n", + "for r90 in r90_vals_nfw:\n", + " file_path = f'r90_data/rhoNFW_r90={r90}.npy'\n", + " magnification_fl, u_t_fl = create_functions_from_file(file_path)\n", + " magnification_fl_dict_nfw[r90] = magnification_fl\n", + " u_t_fl_dict_nfw[r90] = u_t_fl\n", + "\n", + "magnification_fl_dict_dressed = {}\n", + "u_t_fl_dict_dressed = {}\n", + "\n", + "for r90 in r90_vals_dressed:\n", + " file_path = f'r90_data/rhoDressedPBH_r90={r90}.npy'\n", + " magnification_fl, u_t_fl = create_functions_from_file(file_path)\n", + " magnification_fl_dict_dressed[r90] = magnification_fl\n", + " u_t_fl_dict_dressed[r90] = u_t_fl\n", + "\n", + "magnification_fl_dict_axion = {}\n", + "u_t_fl_dict_axion = {}\n", + "\n", + "for r90 in r90_vals_axion:\n", + " file_path = f'r90_data/rhoAxion_r90={r90}.npy'\n", + " magnification_fl, u_t_fl = create_functions_from_file(file_path)\n", + " magnification_fl_dict_axion[r90] = magnification_fl\n", + " u_t_fl_dict_axion[r90] = u_t_fl" + ] + }, + { + "cell_type": "code", + "execution_count": 94, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 50/50 [03:09<00:00, 3.80s/it]\n", + "100%|██████████| 50/50 [03:56<00:00, 4.73s/it]\n" + ] + } + ], + "source": [ + "rho_arr = np.logspace(-1, np.log10(4), 50)\n", + "\n", + "# u_T_interp_funcs_nfw = {}\n", + "\n", + "# # Compute u_T arrays and create interpolating functions\n", + "# for r90, u_t_fl in tqdm(u_t_fl_dict_nfw.items()):\n", + "# func = partial(u_t_fl, A_thresh=1.34)\n", + "# with Pool() as pool:\n", + "# u_T_arr = np.array(list(pool.map(func, rho_arr)))\n", + "# u_T_interp_funcs_nfw[r90] = interp1d(rho_arr, u_T_arr, kind='linear')\n", + "\n", + "# u_T_interp_funcs_dressed = {}\n", + "\n", + "# for r90, u_t_fl in tqdm(u_t_fl_dict_dressed.items()):\n", + "# func = partial(u_t_fl, A_thresh=1.34)\n", + "# with Pool() as pool:\n", + "# u_T_arr = np.array(list(pool.map(func, rho_arr)))\n", + "# u_T_interp_funcs_dressed[r90] = interp1d(rho_arr, u_T_arr, kind='linear')\n", + "\n", + "# u_T_interp_funcs_axion = {}\n", + "\n", + "# for r90, u_t_fl in tqdm(u_t_fl_dict_axion.items()):\n", + "# func = partial(u_t_fl, A_thresh=1.34)\n", + "# with Pool() as pool:\n", + "# u_T_arr = np.array(list(pool.map(func, rho_arr)))\n", + "# u_T_interp_funcs_axion[r90] = interp1d(rho_arr, u_T_arr, kind='linear')\n", + "\n", + "rho_arr_101 = np.logspace(-1, np.log10(15), 50)\n", + "# u_T_interp_funcs_nfw_101 = {}\n", + "\n", + "# for r90, u_t_fl in tqdm(u_t_fl_dict_nfw.items()):\n", + "# func = partial(u_t_fl, A_thresh=1.01)\n", + "# with Pool() as pool:\n", + "# u_T_arr = np.array(list(pool.map(func, rho_arr_101)))\n", + "# u_T_interp_funcs_nfw_101[r90] = interp1d(rho_arr_101, u_T_arr, kind='linear')\n", + "\n", + "u_T_interp_funcs_dressed_101 = {}\n", + "\n", + "for r90, u_t_fl in tqdm(u_t_fl_dict_dressed.items()):\n", + " func = partial(u_t_fl, A_thresh=1.01)\n", + " with Pool() as pool:\n", + " u_T_arr = np.array(list(pool.map(func, rho_arr_101)))\n", + " u_T_interp_funcs_dressed_101[r90] = interp1d(rho_arr_101, u_T_arr, kind='linear')\n", + "\n", + "u_T_interp_funcs_axion_101 = {}\n", + "\n", + "for r90, u_t_fl in tqdm(u_t_fl_dict_axion.items()):\n", + " func = partial(u_t_fl, A_thresh=1.01)\n", + " with Pool() as pool:\n", + " u_T_arr = np.array(list(pool.map(func, rho_arr_101)))\n", + " u_T_interp_funcs_axion_101[r90] = interp1d(rho_arr_101, u_T_arr, kind='linear')\n", + "\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 91, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#new\n", + "u_T_values_nfw_101 = np.zeros((len(rho_arr_101), len(r90_vals_nfw)))\n", + "\n", + "for i, r90 in enumerate(r90_vals_nfw):\n", + " for j, rho in enumerate(rho_arr_101):\n", + " u_T_values_nfw_101[j, i] = u_T_interp_funcs_nfw_101[r90](rho)\n", + "\n", + "# Creating the contour plot\n", + "X, Y = np.meshgrid(r90_vals_nfw, rho_arr_101)\n", + "plt.contourf(X, Y, u_T_values_nfw_101, levels=20, cmap='viridis')\n", + "plt.colorbar(label='u_T')\n", + "plt.xscale('log')\n", + "plt.xlabel(r'$r_{90}$')\n", + "plt.ylabel(r'$\\rho$')\n", + "plt.title('NFW Subhalo A_T = 1.01')\n", + "plt.ylim(0,15)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 1566, + "metadata": {}, + "outputs": [], + "source": [ + "uT_interp_nfw_101 = RegularGridInterpolator((rho_arr_101, r90_vals_nfw), u_T_values_nfw_101)" + ] + }, + { + "cell_type": "code", + "execution_count": 94, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "u_T_values_nfw = np.zeros((len(rho_arr), len(r90_vals_nfw)))\n", + "\n", + "for i, r90 in enumerate(r90_vals_nfw):\n", + " for j, rho in enumerate(rho_arr):\n", + " u_T_values_nfw[j, i] = u_T_interp_funcs_nfw[r90](rho)\n", + "\n", + "# Creating the contour plot\n", + "X, Y = np.meshgrid(r90_vals_nfw, rho_arr)\n", + "plt.contourf(X, Y, u_T_values_nfw, levels=20, cmap='viridis')\n", + "plt.colorbar(label='u_T')\n", + "plt.xscale('log')\n", + "plt.xlabel(r'$r_{90}$')\n", + "plt.ylabel(r'$\\rho$')\n", + "plt.title('NFW Subhalo')\n", + "plt.ylim(0,3)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 97, + "metadata": {}, + "outputs": [], + "source": [ + "#make 2d interpolation function for u_T\n", + "uT_interp_nfw = RegularGridInterpolator((rho_arr, r90_vals_nfw), u_T_values_nfw)" + ] + }, + { + "cell_type": "code", + "execution_count": 1614, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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Mw1Cv15vZUpFEhGIAAICQffLmX9MvvF4thv2L//1/rf/o//AvfVrRfP1+X7lcTkdHRzo8PJw4vrOzo5OTk8QHY0IxAABAAv2P/qf/Tf0P/71fHn3+81dv9T//Wz8O7PFmTZgwTVP5fF77+/sz+42ThJ5iAACABLp565p+4c6NsY/rgT+m3UIxbmdnR81mU5ZlBf74QSIUAwAAYKFZgXj8eKfTCXM5viMUAwAAYC43kyf6/X44iwkIoRgAAABz5XK5haF3d3c3pNUEg1AMAACAufb29tTtdmfeZodlp/aKpCAUAwAAQJJkWZba7fbU8WKxKMMw1Gw2p25rNBo6ODhI/Eg2QjEAAEBGWJalwWDgeHupVFKhUFC9Xp+6rdFoqFKpTEyZqNfr6vf7U6Pakog5xQAAACl2dHSk58+fq9/vjz4KhYIMw9De3p6KxeLovoVCQZ1OZ2Z/cD6fV61W0/7+vra2tjQYDGSapnq9XphPJzBrw+FwuPhumOXs7EwbGxt6+fKl1tfXF97/O3f+QQirAgAA81wMX+tHX3zf9c9vP9nZodbd0S/c8bc2+fNXFyrnTiJ5XmlA+wQAAAAyj1AMAACAzCMUAwAAIPMIxQAAAMg8QjEAAAAyj1AMAACAzCMUAwAAIPMSHYrr9boqlYoKhYJ2dnZUqVQ8n6NUKqlcLo/287a3NyyVSo57fAMAACBdErujXaVSUblc1sHBgaR3YbZUKmlzc1MvXrxwvf+2ZVlqNpsT2xkahqFGo6FcLhfE0gEAABAziQzFzWZTe3t7Mk1zdMwOspubmyqVSmq1Wq7OlcvlVKlURlVh0zQntjsEAABA+iUyFD9//nxmcDUMQwcHB6rX67Isy3W1OJ/PK5/P+7xKAAAAJEUie4rr9boKhcLM23Z2diRJnU4nzCUBAAAgwRIZind3dx1vsyxLkrS1tRXSagAAAJB0iWyfmNcv3Ov1JMnTRXL9fl/tdnviHI8fP3bdfgEAAIBkS2Qonqder48mUrjR7/fV7XYnvqbb7WpnZ0cnJyeugvHZ2dnE57dv39bt27ddrwEAAATncvhWl3o7+vxi+CbC1SCuUhWKK5WKTNNUtVp1/TWNRmPqWC6XUy6X0/7+/szbr3r//fcnPv/www/10UcfuV4DAAAITv/NH6r/5g+iXsaEF+f/Dd2+edPXc56fE/ZXkZpQ3O12Va/XXVd3FykUCiqXy67u+9Of/lTr6+ujz6kSAwAQH+bNX9UHN39l9PnF8I1+7+c/iHBFiKNEXmg3S6lU0scffzwxu3gV9oV6bna1W19fn/ggFAMAEB/X1q7rxtqtsQ9/K7RIh1SE4kKhoFqt5nkHunK57Lg1tF1tHgwGqy4PAAAAMZf4UGwH22U233j27Jn6/f7M2+zj88a/AQAAIB0SHYqPjo5UKpWmAvHVEWtODg4OHC+ka7VaMk2TsWwAAAAZkNhQ3Gw2lcvlZlaIu93uRG+xZVkzQ/KDBw9m9gxblqVms+lpigUAAACSK5HTJ7rdrmq1mkqlkur1+ui4vZvd8fGxTk5ORsdLpZLa7bZqtdrEPOJisahyuaxyuTzRj/zw4UMdHByoWCwG/2QAAAAQuUSG4ocPHzpWfyVNTaAoFArqdDoz+4NrtZqOjo50fHwsy7I0GAz0+PFjAjEAAECGJDIUn56eerr/4eGhDg8P594OAACA7EpsTzEAAADgF0IxAAAAMo9QDAAAgMwjFAMAACDzCMUAAADIPEIxAAAAMo9QDAAAgMwjFAMAACDzCMUAAAAZYFmWyuWyKpWKb+c8Ojpy3GE4aQjFAAAAKVapVFQqlVSv19Vut2VZli/ntSxLlUrFt/NFLZHbPAMAAMCdarU6+v/Hx8e+nbder/t2rjigUgwAAABP2u228vl81MvwFZXilLh2b8vxtstPB76f08/HAQAAydLtdnV4eBj1MnxFKI6Q19DJ4yAI/DIDAPCiXq+nLhBLhOJQBR0aLzfXpx/z9Gzprw2L2zX6yX6+UTx23Lh5XxKcAQCS1O/3tbWVziIYoThhvIbXKMOuW1GuMQnfH6+CCPpOwZmwDADRuXj9Vm9fX44+P//Zm8Afs9lsprJKLBGKQxVGALvYfG/0/2+cfun5a6Lkdr1eLXp+QT1uVFZ9n3kJ1bPCMkEZABb7yRdf061rt1Y6x4+fdvUH/6cf+7MgF5rNporFYmiPFzZCcQo4hT4/w+755s2Jz2+f+v/baFTh3Mvj+hGgg3iefgb7q6Haa+WZoAwA4fjVf/DX9Sv/zn9n9Pmbn73WD/6tZ4E8lmVZGgwGMk0zkPPHAaE4xsIIiVfDbtBf54ZfgdvLGt0+Zlyq6le5Xdcy4dmP/uurQZmQDACru37ruq7fuh7KY6X14rpxhOIQBRmoggip5xvexljffnm5+E5uHjfAwL3sYwZRGY/CKuF5vIK8at/ytXtbBGMASIhut6tcLhf1MgJHKE6QOATfsM61SsBeZh2LHi+KoL6qVYK8HZ6dKst+VY8JxgAQf/1+X8fHx6rVahPH7e2dnzx5ouPjY21tbU3dJ0kIxTGzSvjyI5S+Xl9b+Rzjbp0Nl/o6PwP2qo/nVwU8bH5Uv92GY2m5gEwwBoD4KxaLMy+wsyxLm5ubevz4cSouwCMUh8ivaqOfgdFLCH5996v/f+tz/88/btkwHcTjhR3QV+U2xM97P14NzBeb7y3sR162ekwwBoD4sCxLnU4ndVs4u0EojjkvgWzVKu946PXzvuOCDtPLcnq8ZcN5lJzeM14q3nZgHg/Hi6rGtmWqxwRjAAiHPUXCSalUUrvdVq1W08HBwdxz9ft9SZp7viQhFEdslSqkH8FxUbh94yL83nQZdN083ji3AXrZ87t5vFnf40VBOexAb1u0rmXC8vnmzZlVY8ndJAsvAZlgDADBODo60vPnz9Xv90cfhUJBhmFob29vovWhUCio0+lod3fX8XzdbldPnjwZheJKpaJWq6VCobAwSMfZ2nA4TF4pLCbOzs60sbGhly9fan198YYJD/69/83Sj+U2aK0SCt0EYD95CdNRWCaUx82yle5ZQXlWD/IyI94WhWOCMYCgXQxf60dffN/1z28/2dnhf/zx/0S37qy2ecdVr1+91vcf/l8ieV5pQKU4ppbt9fXKKQhfrL/1fK4bZ95mJS4K4V5D86qh/urjzfq+rhqUV3mt5nFa1zKVbumrqvJ4OF61amxb1HtMxRgAEAVCcYjCaHeweQ2IbkLw2t2vAtHw8+mLtPwO0mFXrq8+3qxQHlSoXdXVdc0L716C8vnGtalgLM2+EE/yHo4JxgCAuCAUx1xQIVhyDrHj4dfJvPvMCsxe1yB5rzwvE8rnPZ6bkBxXXkKyND8ou60aS97DMcEYABAXhOKYcROC3QRgrwFxXsi9c9c54Lz6fHqHNDehepxTiF415M5jr3H8sccfb1YgD7tyvSy3FW43QXm8guy2aiy5G+FmIxgDAOKAUByioC+C8yMIzwvAsyy6/6zQ7GYdkvuKs9cQ7vS1TgFZ8l61jtL4e2VeddtNNXlWMJb8rxoTjAEAUSMUx9iiILwoBHsJi07h9t6dV66+/tNXdzydd5xTcF4l7Dq5up7xx57XM72oinz1PlFwU91eJiTbrRWLqsZOO+R5mW88LxhLTKYAAASHUBwTflWCVw3C80LwN+5Yo///J68M119n8xqc51WZvVa03ZxnmYAcJ26q215D8nj1eFHVeF47heQuHM8LxhJVYwBAcAjFIVq2J3VeCFu2F3jcrEA7HoBnmXX71aDs5nFsswKzX8F30ePbj71MQF4kiGq3k2Wq24tCsl099qtqLC3uNyYYAwCiQCiOqWUnQ3gJkldD4rwgfP8XP5069uKLe66/ftys8LwosC663yrsc44/lpuAHDertn9Izv3IQVSNCcYAgDghFEfM7Z/il60IuwmRV8PsrAA8i5ug7ObxbF7CslfzArv9uOOP5SYgL8Pv6rft6rq8tH/MqyJfDcaSv73GBGMAQFwQikPk15i0RcHKbZB0E4a3b//ZwvP0zn9p7jlmmRWe57VkuK1CL2NWr7SbgBwn84L71feRlyqyXTkOqmpMMAYAxAWhOIb8DMNuwuSyYXjWfccDspfHdKow+xmGnQL7+GPbjzdetZ7VXhFniyrbs2Y025wC8qyq8dVgLC1XNV50AR7BGAAQBkJxTKzaK+xnr62XQDzra90G43H3f/FTV60Xy1hUvZ712N+4Y82csBF2MF5lqof07n2zaOTdvM1TrgZj6atwfLWdQlp9ww9pdji+3Fwf/f9ZAdke2SYxtg0AsBxCcYiWvUhr2UC8TJV1lUB89Rxew7EdXv0Ix27bOMbv72cwDuKCwEWPtWjk3bxwvGhXQa9VYzcbfkjzw7E0PyAz0xgA4CdCccwtexGd20DsJTz+tVvvwu4fvXYXdlcJx8sGY69heNHjOgXjOFoU2P2uGq96EZ602mxjt9VjwjEAwA1CcYwtu8tckBelSe/CsdtgLC3XUnG1arxK2PX6uG6CcVwFXTWe104hLVc1lr4Kx5L31gppfvWYcAwgjv7rn23ohm77es6Ln537er6suRb1AjDtzt0vV9522Y2rQXNe64RdJV7W9u0/W6o14/4vfhpaIB5/zKu+cccK/JcNPy16n8z7C8Ta3TeOrT4X62+npqhc3QDk6nbRr9fXRpVj2/nGtVFAvup88+ZESJ54/M33Rh+zXG6ujz6uGu87BgDgKkJxTNhB2O+Zw36YFYiXDcnLhuOwOYXxpAXjee+ZRe+3eT3wboLxrHB8lZtwvCggO5kVjgnGAAAntE+EaJUZt0G3TIQdVJftN/brccfNW0PS2ymk4HqNr16Et0w7hc2prWJ0+4oX5o23VTDCDQAwC6E45latDq/aejCvIuy1t3iWZWYcr/IYTrcvE4zjZFFId9NrPG+3Pq+9xl4vwrONV41nBeRlL8y72nNMnzEA4CraJ2IsrEAcl3YGP1sr7HO5Pd+i+4Xd1+yV25C+ajvFvF7jcW/uuu81ntVWIfnTWnG1vYJ2CgCAEyrFMeRHq4QfIW7Vi+uWtUxrRRjzlYPcYMQPs3bjm8WPqrHkvF20l5nGo+MBV4/HK8e0UwAAZiEUx4CXiRJxC8R+tFA4iaqCPa+dIu7BWPIWjpcd3SY5t1R4bacYN1419tp7PG+sG8EYALAIoThEq4xTC2IzDik+rRNxM69qnIRgLLm7INCPucbS7Kqxm5nGtjCqx1f7jekzBgCMo6c4AYIKxE68tk1E1WYRBqdfGuyRbbM+4sTtfGU3c429jm9zM9PYNmuE2+i2OX3HkveZx/QZAwBmoVIcY14mHCwTxmYFvjQH3GV53ZFv0WsRRZXZTUvFoqqxNL9yvErV2BZka8XVqjHtFACAcYTiGPI67isO1ckge4v9MC/su1m3n3OVg3i93AZtty0V84KxtDgcu70IT5ofjiX/WiuWCcYS7RQAkBWE4gitMuvWS7CaNQs4rVXiZZ6D/TVuw3HYG464Yb8f3IRjv6rGkvOkCrdVY2mypSLo6vHVXuNFfcYSVWMAyApCcYj82PBh2TA875hfZlWLkxS03YbjqHbjcyOKcOy1pWJW1di2bGuFtLh6vGrVmGAMAOlGKE6IVcPwIn6F1ySFYCdew7EtTiHZazhedUqF5E9LhS2I1gqCMQBgHkJxzDFiLTpe2iqkeIZkt+Pj/Nr4Q3IOx4s2/ZCmA7IfrRXj4dhNMJYY2wYAWUQojqFlL8RaNhCnobobJK/h2Dbr9YgiKPvdUiEFE46lYForrobjRX3GElVjAMgiQnGIgpwSQYU4eMuG43FeXie/A3SWwrE0HZBfr695rhoTjAEgOxIdiuv1unq9nrrdrgaDgfL5vKrVqufztNtttVotbW9vy7IsSdLh4aHPqw3GqmE4y1Xiv3rzjT55Mx3IFhn/ngU5hi6oAB1lOPYyqULyv7WCYAwgyyzLUqVSkWEYS+Ulyb/sFUeJDcWVSkXlclkHBweS3r3QpVJJm5ubevHihQzDcHWeZrOp4+NjNRqN0bF2u61CoaBWqxXE0pdGNfidv3pzeve0Vc+1TDiWwgvIiywzESOKcOxmUoXkf/V4UTCWlh/bRp8xgLirVCrq9/t68OCB2u228vn80ufxI3vF1dpwOJyeXxRzzWZTpmkql8tNHLcsS5ubm8rn864CrWVZun///swXcmdnZ+KFn+Xs7EwbGxt6+fKl1tfXHe9n++i/+nsL73NV0CPU4sbPwLusZQPyVVGG5GVaL7zstLcoHNsWzTmWZgdk26xwbJsVjsfNCshXWyquTqi4uhveeNVY0kTVWJqcZywRjIGkuBi+1o+++L7rn99+srPD3/yP/2e68Zdu+3rui5+d6//1b/0f5z6vnZ0d7e7uqlareTq3X9krzq4tvkv8PH/+fOpFkSTDMHRwcKB2uz1qg5jn2bNnMk1z5m82e3t7nt8wfstaZTgOgVjybx1R/tKxzHvHS8+725nbduV4Hrt6PMt49fiqi/W3E+0VV423V9heXzk2vvmHNLkbnvRV1Xj0mJuTAd6uGtvsqjEApI1f2SvOEhmK6/W6CoXCzNt2dnYkSZ1OZ+F5Go2GtrZm/xAzTVPdbjeyF9ivQPzXbv3Z6APhS1ow9iIOwVhSLIMx4RhA2viVveIskaF4d3fX8TY7xDqF3XGdTkemac68zT7e7/e9L3BFfgbiq5/HNRzHpUps83M9SQrGXiekhBmMF1WNnTgF4/Fw/Hp9bSIcn29cmwjH55s3J8LxxeZ7E+H4cnOdqjGAVPMre8VZIkNxq9Vy7Fvp9XqSNLPEf5VlWQubwsMOxUEF4qu3xTUcI3pxDcbS4nYKJ7OCsUQ7BQC45Vf2irNEhuJ56vX63Ivj3LLD8mCw+MKZs7OziY/z83PXj7N9+88mPvwQZOANoqIbtyqxLavVYin6YLxKn7GTN3dppwCy6nL4VhfD12Mf8fy549Xl6wtd/Oz8q48vXkeyDr+yV9QSO5JtlkqlItM0Q5+X9/777098/uGHH+qjjz6aul8YF84FFb7iGlyT5K/d+rPIJlJs3/4zzxMp3G4RbfvGHcvVVIp7d165mkrhNNdYeheMnSZTXKy/nTuZ4s3d6ckUbsa2XZ1nLLkf2yYx0xiIUv/NH6r/5g+iXsaEz352R9eHq02f+LP/8D/TX3z/93xa0XKiyl5BSE0o7na7qtfrOjk58WVOnpf+mJ/+9KcTo09u3/Z3xErUshyIl93gwwnB+J24BmPpq3C8aHtoabnNPiRGtwFhM2/+qj64+Sujzy+Gb/R7P/9BhCvyx79W/Ju69/f+u6PP335xrj/69/+3oT2+39kraqlpnyiVSvr4448dL5wL0vr6+sRHmkJx0IE4i4E77a0UbrlppZDCHdkmBd9OIdFrDITt2tp13Vi7NfbhX7EjStdu3tD1X7w98RGmKLNXEFIRiguFgmq1mucGb9M0HS+ks3uJk/RC+xm2/urNN5kMrLME8X1I2oWOQcwwloIPxlJ8LsCj1xhAmiybveIs8aG4XC6rUqkstWVhLpdznENsh+U0vdhuEYbDMT5DOsyQvGxve9yDcRAX4Pk5tk2iagwgHVbJXnGW6FB8dHSkUqk09aL0+3212+2FX18oFBwrxb1eL3UvththBuIkhe8w1hpmQE5jMJaWn0whUTUGADdWzV5xlthQ3Gw2lcvlZgbXbrc70fZgWdbMF+rRo0caDAYzg3Gz2VS5XPZ30QFK2p/jMV8YVeQwpqEEFYyDGNkmBRuMqRoDSAKnzCR5y15JlMjpE91uV7VaTaVSSfV6fXTcboU4Pj7WycnJ6HipVFK73VatVpuYo2cYhp4+fapKpaJGozE63mw2ZZqmisVi8E8GieH3JAovxoOxn9Mr4jSRQvoqGAc9mUKS43SKWZMppNXHtkmzp1NI06PbJCZUAAiGZVlz92Bwykxes1cSJTIUP3z4cO5vMld/UykUCup0OjO3KCwWizIMQ5VKRdvb26MX12nXljhKYpU4Sa0TcXP19Y5ixFuQwVgKfmSbNH9s27xgLK0+tk3S3NFtEnONAfjn6OhIz58/V7/fH30UCgUZhqG9vb2JIqBTZvKavZJobTgcDhffDbOcnZ1pY2NDL1++nJhT7OT//Mf/ZiDr8HvqxCJ+VEuTHIqjqhbPs2ow9lottnkJxpI8BWPJXcVYkmMwljQ3GEvOFWPbrHAsTVaNJU1UjaXJYDw6djr5vh8Pxrar4ZhgDPjvYvhaP/ri+65/fvvJzg7/rf+w4vsItbdfnOv/8+9UI3leaZDYnmIkV5IDcVyt+otRGBfeSd56jKXoJ1NI/vUZS8v1GnMRHgCEg1CcUEFchEVYdSet36c0B2MpuAvwvIxtk6aDseR+QgUAIDiE4oQJe6YtksOP90XWg/EyG31Iy02noGoMAPFCKE6IOIXhtFZKvYjr9yDK98gywThuI9uk5Tb6kNwFY6rGABBfhOIEiEsY9kNQYTKKi9/iuhV2VP3FkvdgLAUzy1gKbmtoyVswpmoMAMlAKI6pKLb/xXLiGIxXlZVgHEafsUTVGACSgFAcsas7lxGEvbOrxFGOSotbMI6yv1gKJxjH+QI8iaoxACQNoThEcQ6/YYS6IB4jTjODCcaTgg7GUvIuwJOoGgNAXBGKEZowAmycQjKW4zUYu7VKMJYWX4DnxE0wlmZXjafWsDm9SQnBGAD8QSiGpGSGybitOW7r8UvY1WKv/OoxlgjGAJBlhGJ4tkr48ys4zjtPWsNplgTVRiERjAEAsxGKkSifvLlJ6E2YZavFBOOxzwnGABA4QjFCZwdbr+HWy/3DDs5pD+qrtFAkVZqCMeEYABYjFCNSbsNx2kNn2iWxWiwFF4xncRuMZ41su+pqMJYIxwCwCKEYI1EGz3nV42XXRZCOF4LxV2ZViyV3wViarhq7DcYS4RgAnBCKETvj4TgJwTbOa/RzFnaULRRZCsaz+B2MJcIxAFx1I+oFAE78CJufvLkZu001suz+L36qF1/cC+Wx7t15pU9f3XF13zt3v9Srz6dD5bi1u280/Nz5PXmx/lY3zq7PvO3NXenm59PHX9+Vbl05/np9TbfOhlP3Pd+4ptsvLyePbd7U7dOv3t8Xm+/pxulkyL/cXNe10zPHddvB+PLTgeN9APjvZ5/f1rW38/+749XlF76eLnOoFMOVZS+OA/wS1KYeXoRVMZ7VRiGtVjGeVzWWmFQBAIRizDQegpMehINcf9K/N1750UKxyoYeUbdRSMkNxtLicExLBYAsIxRjQhpCMDAubsHYSVjBWCIcA8AshGJkAkE/XsKsFkvxCsZ+jGqTVg/GEuEYAMYRigF4EoeNPNIajL2MapPcB2PCMQAsRihGZvhdLab6vJpVqsVS8BfepSkYS4RjAFiEUIxMIcj6w69q8arB2Csv1WIvFgVjJ2EHY8l9OJ6HcAwgjQjFABIrLm0U0vxgHPSud5K3YCwtDsdux7gRjgGkBaEYmbNMtfjqiDoqzv6Joo0ibsHYSdDBWCIcA4CNUAxckbYA7OdWz+PicMFdWIIOxvMmUvgVjMMKxwCQVIRiZNKs4JuGAJxUca8WS9EGYydegrEUTjimagwgqQjFAFIhzcHYqVoseQ/GkvtwPA/hGEDaEIoBxELYkyhsQU2kkJabShFWMJbc9RsDQFYQioGU+6PXvxT1EkIT9OxiyVu1eB4/J1JIywdjAMA7/NcSSLEsBeJVxK2NQgq3lWKeVWcaA0BSEIoBpEoY1WIpW8F4FfQVA0gKQjGQUkmsEkfVVywF21u8SFjBeFn0FgPIghtRLyBL7JAS1NxYwJbEQOynb9yx9CevjMAf587dL/Xqc3eBce3uGw0/X64i++audPPz6eOv70q3ZhyX3gXjW2fDiWPnG9d0++XlzPufb97U7dPltqu+3FzXtdOzpb4WQHgsy1KlUpFhGKpWq0udo91uq9VqaXt7W5ZlSZIODw99XGV0CMURmBdYCMxAdO7deaVPX93x9DV+BeOL9be6cXbd8WujDsYXm+/pxqk/FxkCCFelUlG/39eDBw/UbreVz+eXOk+z2dTx8bEajcboWLvdVqFQUKvV8mu5kaF9Imb+6PUvTXwAXvG+eWfZ3uJl2ijCmEghzW+l8LLzHRMpgGypVqtqNBo6PDyUYRhLncOyLO3v7+vp06cTx/P5vAaDger1ug8rjRb/ZYw5wjG8CPO90jsP5rGi7CsOw6LZxcsGY8mfYDzvortFO90BSK9nz57JNM2ZoXpvb0+1Wi38RfmMUJwQhGMgPEFXi6MIxl74PY2CCRRA8jUaDW1tzf63bJqmut3uqMc4qQjFCUMwhhPeG9PCGs9m86uNQvI/GPvVRsEkCiCbOp2OTNOceZt9vN/vh7kk3xGKE4ieY1zFe8F/QY9oW2YL6KuCDMbLVItpoQDCNXxzocsvvvzq4+fngT2WZVkL+5GTHoqZPpFwf/T6l5hYgdS5/4uf6sUX93w51yrj2YKeRrHIookUkvNUCmn2ZAovEymcplEwiQJY3fDVTQ3frtaqZP0n/6le/t+in/pgh+XBYBDtQlZEKE4BgnG2USWOH7fB2M3s4qiDMYD42vjOt7X+8G+NPr/88kv9y9/6DyJcUbLRPpESaQxGaXxOfqGFxptVeouXbaNw21/spo1iUX+xNL+Vwq1ZrRRObRROvcVOLRRcbAf4b+3mDV37hfe++ngvmp5/+wI7pwvxkoJKMWJnPOixC+BXCMDZtkrF2G212Mkqu90BgBs/+clPtLW1pfX16K5NIBSnyNU2CqcQFdeAOS/0ZTUcZzkI+9lXLIXfWyz520bh1qrB2EsbBb3FQHaYpul4IZ3dS+w0nWLcb/7mb6rT6Yyqy6ZpyjRNbW9vK5/P61vf+pZfS/aMUJwybkLU+H3iEjLdhr8shOMkBOGgNu6IszgEYzfVYimYYOylWny5ua5rp2eu7gsgGXK5nOMcYjss53K5hec5Pj7Wy5cv9Tu/8zv67ne/6+cSV0ZPccb53Zfq9VzLPn4SgqMX9AiHI+y5xUFw018szd8SeuqYy1Fts/qLmVsMZEOhUHCsFPd6PeXzedfnOjw8jF0glqgU419ZtQI7qw94Fvv8foS/Zdccl7YSAnDyxKFaLK1eMfbbrDaKWdXia/e2dPlpskc2AWlnWZY6nc5UyH306JEqlYr6/f5Um0Sz2VS1WnX9GHt7e76s1W+EYkzw2lqxTGXYb36dk5CKOAgjGIfVRgEgfizLmjtPuFQqqd1uq1ar6eDgYHTcMAw9ffpUlUpFjUZjdLzZbMo0TRWLRVePv7a2Fmnf8DyEYjiaF5AJkNmVxX7icUFXi+PGbTCmWgzE19HRkZ4/f65+vz/6KBQKMgxDe3t7E4G2UCio0+lod3d36jzFYlGGYahSqWh7e3vUY9xqud9AZDh0N/XGq29+85v64z/+45XOQSiGK4RgSOkIxKtMoQiL39XiWVYd0+YWwRiI3uHhoaf7zrt/Pp/31D98VVCzjP0I21xoB8CVNARivwS9oYfkblMPKZyNPbjoDoBf1tamL+z1w+np6crnoFIMAAm3bMU4iGoxbRQA5vnss8/0u7/7u7p//74Mw1j5fJZlqdVqOY6L84JQDGAhqsTTwugt9rKpx6JgvOokiiAuuiMYA9nk9qK8sNE+AWCuNAbiJM0rdttGsSy3c4uduG2juNyMbutWAPEyHA59//ADoRiAozQGYj+F0VvsxaL+4iB6ix3X4jIYX7u3pWv3grnwBkA89ft9XV5e+vbxwx/+0Jd1EYoBzEQgjg8v1WK3O96NC6Ja7JUdjgnIQLptbW3pgw8+8PWc+XxeGxsbK5+HUAwgll58cS/qJbgSt2qxND8Ye6kWu93+2XEdS7ZREI6B9Apq+oQfo94CDcU//vGP9eMf/1hnZ2eL77wEy7JULpdVqVSW+vpSqaRyuaxutzs6X7vdVqlUGh0DsqZ3/kuZqBInqa9Yiqa32Asv1WK3/cVUj4H0mbeb3ipyudzK5/A9FP/kJz/Rd77zHV2/fl07Ozva2dnR5uamvvnNb+qf/tN/6stjVCoVlUol1et1tdvtpcdwWJaler2unZ0dra2taXNzcxSU/fjmAkmSlTAchLCqxX61UQRVLQ5ydjHhGEiH4XAYSLH02bNnK5/D15FsL1++VC6Xk2VZMgxjIqz2ej0dHh6qVqup0Wjor//1v77041Sr1dH/Pz4+Xvo8uVxOlUplVBX2snc3kAaE4HTzOr941txiJ7NGtDmuw+XsYjfsYMwoNyC5Xrx4sVIODIqvleL9/X09evRIp6enGgwGury81OnpqRqNhg4ODrSxsaFPPvlEuVxO//yf/3M/H3pp+Xx+tKUhgRhZQVXYf3GsFkvLXXh3VVAX3a0ypo3WCiC5njx5EvUSZvI1FFuWpe9973sTVwBubGzo13/91/W9731Pg8FAP/zhD/Wtb31LBwcH+t3f/V0/Hx7AAoThdPCjv3jV8WzS6hfd+YVwDCRLo9HQP/yH/zCwa86W5Wv7xObm5sL75PN5nZycqFKp6Dd+4zf08OFDra8z1B0ICiHY2TfuWPqTV4Zv5wtjl7tleGmjcGqh8LL9s9NOd05tFLZl2inGjQdj2iuAeHr8+LF6vZ4++eQTffvb39bXvvY1GYahra0tlUolffvb345sbb6G4tPTU52dnbkKudVqdXSh2z/6R//Iz2V40u/31W63R5/3ej09fvzYl/24gSgRhtPNyxbQTlbd+lny1lu8iB2QVw3HEr3HQFx997vfDeS8169f19u3q7WL+RqKS6WSKpWK/tk/+2eu7l+r1fTgwYPIQnG/31e329XBwcHoWLfb1c7Ojk5OTlwH46vl/9u3b+v27dtT91s2pGzf/rOlvg7ZQxBOrmWqxV6CcZDV4lnB2Eu1+Cq/wzHBGJfDt7rUV4HpYhjsiEOEz4+tnn0Nxfv7+9rd3dVv/dZv6bd/+7ddfc39+/f9XIInjUZj6lgul1Mul9P+/v7M22d5//33Jz7/8MMP9dFHH/mxREnzgw6BOV4Ipf5IysYdsyzbQhEVp2px1MFYWn5CxVUEY/Tf/KH6b/4g6mVMuPH5dV174346jBuXX/p7viTxY1MQX0Ox9G5O3O7urtrttqrVqv7O3/k7c++/7IzhIBUKBZXLZdf3/+lPfzrRMjKrShwUpxAWh7AcRkD083kSaJFEQbZR+BWMJU2FYy/BWPKn35hgnF3mzV/VBzd/ZfT5xfCNfu/nP4hwRYgj30OxaZrqdDoqFArK5/Pa3t5WsVjUo0eP9K1vfWvivk+fPlWpVPJ7CSuztwrsdruuNvFYX1+P3cWCbgKe38E5ilBJkE2fJFeJV7XsBXdug7HXucWSP8FYml01dhuMJf+qxsima2vXdU3ZraLCnUC2eTZNU91uV3//7/99ffLJJ6pWq9rZ2dH169f1d//u39U/+Sf/RN/5znf08uVL7e/vB7GEheZtD233Ege1FWFc+BkoCafAV5adWRylZUa0Oc0v9rrjndtxbavMNZbE2DYAc/leKbZtbGyo0Wjo5cuX+u3f/m394Ac/UL/f1w9/+EO1Wi1JUqfTUafTUT6fVz6f1wcffBDUcqY8e/ZM+Xx+5m39fl+StLu7G9p6omKH2WWrxoRh+CnLVWJblNVir20Ukj8VYym8dgraKAA4CaRSPG5jY0PValWffPKJer2earWafv3Xf10bGxs6PT3Vs2fPVC6Xtb29rW9+85v6zd/8Tf2Lf/EvAh/ofHBw4HghXavVkmmamRrLtsymDgRiwFkSq8XzvJ5TSfajYiyFWzUGgKsCD8Xj7t+/r/39fT179kyDwUC9Xk/ValUPHz7UcDgcheZSqaStrS1ftoK2LGtiDrHtwYMH6na7M+/fbDZVrVZXfuwkssPxvJDMrmgIQlRV4m/csSJ53Hm8bv1sc7vT3bytn+e1UYQRjCX3u98tG4xpowAwS6ih+Kr79+/ru9/9rn74wx/q8vJSJycnOjw81Le+9S1dXl7qk08+WXgOy7Lm9v6WSiUVCgXV6/WJ48ViUbVabSoYP3z4UAcHByoWi8s9qZS5GpIJw0C8Bb0FdJjB2E04JhgDkGI4p3hVv/Zrv6Zf+7Vf0+/8zu/Mvd/R0ZGeP3+ufr8/+igUCjIMQ3t7exOBtlAoqNPpzOwPrtVqOjo60vHx8ShcP378mEAMhIxe4mlx2vr5qmV7jCW5Htk2WmfIm30ASKbLy9V31lwb+hGtM+rs7EwbGxt6+fKlq5FsH/1Xfy+EVQHJEodA/CevjMDOvcpGHquEYjcX3S0KxfO2gHYKxaPbZwRjm9O20E7B2ObmQjyvwZiL7rLpYvhaP/ri+65/fvvJzg73//Fv69p7/v7ie/nll3rx4W9F8rzSINL2CQBAdOb1Fi8yr41Ccm6lkOa3U6zaa8wFeACWRSgGEJk4VInjbNkL7qTge4ulYIKxtHqv8eXmuutwTG8xkHwvX77UgwcPVj4PoRgAAhTlaDY3wXhRtTjKYBxW1ZhgDCRbp9ORZVkrnydWF9oByA6qxO4EfcGdH+ZdeCc5X3wnOW/yMbrdYbMP6atgPK/XmO2hgeTxWvXtdru+7C1BKAaAFHOz092iSRROO92NWzUYS84X4K06ocJNMGanOyA+er2e68qvYRja2Njw5XFpnwAQOqrE3qzSW+yXRW0UbsxrpZDmt1NIq/Uau+kzpo0CiAfTNFUul3V5een4Ye+K/OjRI3W7XX322WcrPy6hGECoshiIo97y2Y+L7txY1F8sBRuMJfe74QGIr62tLZVKpbn32djYULFY1Pe+9z3VajWdna3eJkUoBhC4F1/cG30gntyMZ3NTLQ4jGANIt1qtpm9/+9uu7//kyRM9efJk5celpxgI2Ysv7un+L34a9TICRwD2V1wuuPOjv1ia32O8yLyL7xbhwjtkXbvdVqvV0vb29qhv9/Dw0PN5ms2mWq3WxLFqterLBW/379/3/DWp2+YZSJJVQt+sr01DUCYIx5cfF9x54SYYz7NoKgUA75rNpo6Pj9VoNEbH2u22CoXCVMCdp1KpqFAoqFarjY71+309fPhQH3/8sS/B2KuXL1+ufA5CcYjcBIY0BKM0CTPkJTUoJz0IB7nFc1q5qRa7sUq1eJ5F0yiALLIsS/v7+3rx4sXE8Xw+r0qlonq9roODg4Xn6Xa7o68bZ5qmnj59qv39/YnQHZZ+v7/yOQjFMeMUMJIQjpIqzqEurkE5zt+zNAujhcJttTiMNop51eJVWiiALHr27JlM05xZxd3b21OtVnMVitvttuMc4VwuNwrNq/By0Vy/39eTJ09kmubKj0soTojxEBKHUBQGgtds874vQb43eD1Wc+/OK3366k6ka3DTQuG3Vdsowsa8YqRVo9HQ1tbssYOmaarb7cqyLFetD7VaTcVicep4v9/3JZwahqG1tfkX5F69/9UK+DIIxQmU9oBM+Fqe2++dl/cNr0e8JK1aLAW3492i3e6cWii42A5Z1Ol09OjRo5m32UG23+8rl8vNPU+xWFSlUlGpVNLTp08nQnS1WlWlUll5raZpqt/vzwze47a2trSzs6NHjx5pfd3dtu7zEIoTLi0BmeAVLr7f8EsYwRjA6txUgd2EYtM0R+G33W6r0Wgon8+rXq+rUChM9RovwzAM1et1/cZv/MbK5/KCUJwiSQzIhDMgXG5bKPycRLEqJlEAsw0vLjS8uBh9fvnlcheY2mF5MHDXOnR4eCjTNFUqlVQoFGSaplqtli+tE5K0u7vr27m8IBSnlB02ww7HhFwgeHGZWWyLslq8bAsFELUbr6TrK14r+hf/j7Y++3/+0J8FeWQYhg4PD9Xtdkdj3RqNxsJKsxvf+973fFihd4TilFsUUv0MzQRiJA3j2OYLolq87IV3VIuBaV/77+e19W/+7dHnb8+/VP9/97/0fB57Ew+nC/GuqlQqevDggarVqiSpXq+rXC5rZ2dHrVbLlxaKKLCXZsb5FWQJxEByrN31f5SZmy2gbfO2gl60BfQs55veJ2pcbq5+UQ4QtWs3buj67fcmPoJWr9claeIiuIODA/V6vVFLhR2yk4ZQDL344p7vu7MBmHbvzivfznXnbjhtARfrb13f169g7OR8gx9ZwLLsiQ6z2L3Ebvp4q9XqqEJ89fwnJyeS3s0yTiL+C4ORZcItgRiA35apFju52IxP7zUQpVwu51jBtcPyon7gRRMsDMPQ48ePfdldLgqEYkzwUjUmEAPRWqVa7KWFIgnV4mVaKJxcu+eurxJIkkKh4BhWe72eqz5gwzBctUZEMTnCD4RizLQoHBOIATjxIxj7WS0GID169EiDwWBmMG42myqXyxPHLMua2QZhmubc9ggutENqrdpvDMQVkye88VItBhA/hmHo6dOnUzvONZtNmaY5tXucPYPYvrDO1mg0Rht3jLMsS+VyWZVKxdVW0XHESDa4Mj73mJAMxMcqM4vdbuSxDLezi6PEds/ImmKxKMMwVKlUtL29PWqFaLVaU/ctFArqdDra3d2dOG4Yhk5OTlSpVNRoNCZuq1ariQ3EkrQ2HA7ZV3NJZ2dn2tjY0MuXL13tuf0Pfv/fD2FVABaJskr86as7vp9zlY08vIZir3OL3QZjp9nFTpt5OM0sdtrIw2kTD6dQfPmpu529kEwXw9f60Rffd/3z2092dvjmd3/b9xFqb8+/1B//r38rkueVBrRPAAAAIPMIxQCQYV438vDaW+zlojsAiBKhGECmpPECu7A28gjSMuPZAMBPhGIACJGfu9pFJcxqsdNoNna3A+A3pk8ALvldYfzGHcvX8wHLCnIKhS2saRTnmzcdL7YDgHkIxYCDoP/Mbp+fcByeNLZO2FYZzbaMi/W3nidRAECcEYqBfyWqwEQ4RlYsqha/vjt7NNvr9TXH0WxuXWy+5ziWDQAkQjEyLG5VQ8JxsOL2esfNMi0Uy1SLk7CpB4BsIhQjU5IQjAjHWFbYLRRRO9+45riJBwB4RShG6iUhCM9COEZazasWO7VQBIWtngHYCMUhGg9nBB1ni0Ksm+9dUoPwLITj1aXp/RCksFooluGlr5gJFACWQSiOiNsf0lkKQm6/J1kNOIRjuJGUFgp6iwHEDaE45rJQXc5qyF0W4dgb3l/BYzwbgDQgFCdI2sIQYWU1aXs/BIH3WLw5VYvD7isGAIlQnEhJD0MEFX8l/f0QBN5jy1t2d7uoqsVMoADgF0Jxgv3JKyNRQYigEizCMe8xW1L6iqVwe4vZwANxcutz6fprf8/59tzf82UNoTjhkhCMCSrhykIf+lW8x+Ih6GqxHzvbAYATQnEKxDUYE1Sil/bqMe+xYCzbQgEASUYoTok4BWOCSvykrXrMeyy+/KoWc7EdgLBdi3oB8E8cgkIc1oD5/uSVkdjXKclrD9udu9nunT3fpNINwBsqxSkTp4ox4i1J1WOCcLqxkQeAOKBSnEJRBQiCS3LFuQIb13Wl3drd5bdJvlh/6+NKFjvf4EcZgNVRKU4pKsZYxtUAGuV7iDCMKF27t6XLTwdRLwNAiAjFGUVohhvzgmlQ7x/CsH+inFfsxwV3sy62W3Us26xZxZeb67p2erb0OQGkA6E4xWYF36ACB0Eme5xe82XDMu+h+AlzNNuqfcWzdrY737yp26fTbSBugzHVYiBbCMUpNx6Mr4YOqsXeffrqzuj/37vzKsKVxNescOv0PiMIp1tQm3k4VYsJxgBWQSjOgKCDRxaCzXgYvnqMcLxYFt4jCIbTvOKwg7EkwjGQclyyCzj49NWd0Yeb+wGIL6e5xReb0z3Xl5vrutxcnzpuh2MA6UQozrhVK3hprAAuG3IJx3Ajae+RVUazSd7Gs725O/v4a6fj62szjzuNaPMSjCU5BuPxDwDpQSgG5L4q7PZcQFykfWc7P4OxU9V4HkIykB6EYixd7U16ldjPIOx0bgD+bObhVC2ex2swlpzbKdwiJAPJRShG5oQZWAnHgDdOLRTzOFWLpWiC8ThCMpAcTJ+AJO/j2ZJWJY46mDKpAkkW5rzieZwmUUjLberhNJVCcp5MMW6ZDT+uBmMmWgDxkehQbFmWKpWKDMNQtVpd6hztdlutVkvb29uyLEuSdHh46OMqEZWog/AshGNkVVAzi92YNaZtdJvHYDyOkIwk8jP39Pt9VSoVSdLW1tZKeSwOEhmKK5WK+v2+Hjx4oHa7rXw+v9R5ms2mjo+P1Wg0Rsfa7bYKhYJarZZfy00Mt9XiOFeJ4xiEZ/n01R2CMbCEZavFqwRjSXPDsY2QjLjzM/c0m009efJEjUZDpmlK+qpYmdRgnMie4mq1qkajocPDQxmGsdQ5LMvS/v6+nj59OnE8n89rMBioXq/7sNJ0+JNXxsRHHCWxdzdp60W2rTqaTXJ/wd0yfcW2ZfqLpfk9xpLz2LZ57HnHTnOP3aAnGX7xM/d0u13t7+/r448/HgViSdrf31ez2fRtzWFLZCj2w7Nnz2Sa5sxQvbe3p1qtFv6iYuBqAI5rCJaCnR4RlqSvH4jCMpMobGEH43HLBuNxBGMsy8/cU6lU9Pjx46lzFQoFlcvlFVcanUS2T/ih0Whoa2v2f1xM01S325VlWUtXohGcNIZI2ikQpDt3v9Srz1cLdEmyzEV3tnmtFNLiPuNFZm0jDYTBr9zT7XbVbrcnWjBsBwcHfiw1MpmtFHc6nYmS/zj7eL/fD3NJWCDtVdU0Pze8w2scTgvFIvOqxVIyKsaAV37lnlqt5lhxTrrMVord/DbU7/eVy+XCWRAcZSlIUDEG3Jl3wZ20uFo878I7KfiK8Squ3dviAjx45lfuabfboxB9dHQkSTIMQ71eb2ZLRZJkNhTPY7+gg4G7/+icnU3+Kez27du6ffu238vKnCyF4XEEY8SVX/OKoxzP5icvkymuoo0iXJfDt7rUV3+luBiufuFoHFxeXGj49mL0+dvXy/2i5iX32MH56OhoYpRbv9/Xzs6OTk5OEhuMCcU+eP/99yc+//DDD/XRRx9Fs5iEy2oQvopgDLxrobg5rxoccbXYtmzVeJVgTLXYm/6bP1T/zR9EvYwJtz4f6vr5cr3vtn/5X7b1pz/+oU8rcq/b7U6NXTNNU/l8Xvv7+zP7jZOAUDyDPczaqSH9qp/+9KdaX/+qR4wqsXeE4Wls9AGsLs3BGO6ZN39VH9z8ldHnF8M3+r2f/yDCFfnj6//GQ/3yf/t/MPr87Zsv9QfP/leez+M190ia2Z+8s7Ojcrmc2EEFmb3Qzk/r6+sTH4Rid9IwUi0MfH+QRm4vuFtklfFstlUvvLNdbL639DzjZTCezb1ra9d1Y+3W2Ef025b74dr1G7p+672vPm6GM2Vm0QV7nU4nlHX4LbOVYtM0Ha+ytHtqnF70ZXkJN2muDhLyvKOdIvnS8r73q684TKuMaLO5rRhLy1WNqRgjaH7lHjeTJ5I6vSuzleJcLjf6c8FV9osZ5eSJtFZR0/Z8wsT3Dmnjploc5Gi2cYuqxZL7irG0/A54XlEthlt+5Z5cLrcw9O7u7npeXxxkNhQXCgXHF7XX6ymfz4e8ImdpCcdpeA5R43sITHPTQjFv+2dbEMHYazhmhjGC4lfu2dvbU7fbnXmbfX6//9IeltSHYsuy1G63p44/evRIg8Fg5huk2WzGcpvCpIbjpK47rvheAtHyEowl71VjgjGC4DX3OOWnYrEowzDUbDanbms0Gjo4OEjkRXZSCkKxZVlz5+qVSiUVCgXV6/WJ44Zh6OnTp6pUKhPHm82mTNNUsVgMZL1+SFLITMo6k4bvK6K0djfcGa9uWijCrBZL3oNxkGihgBtec49TfpLehd9KpTLRjlGv19Xv96dGtSVJIi+0Ozo60vPnz9Xv90cfhUJBhmFob29v4oUtFArqdDoz+1vs33YqlYq2t7dHL26r1Qrrqawk7hdfEdyCFffXH3Ajjht5LBrTtowod8ADbF5yz7z8lM/nVavVtL+/r62tLQ0GA5mmqV6vF/RTCNTacDhc7ZLcDDs7O9PGxoZevnw5MafYya/+xx8Gso64BiNCcXji+h7AO3H4t/Dqc39HNfk5gcJNKJ63ice4eZt5jO7jYhKF21DsdiKF5H3nOy/TKNjIw5uL4Wv96Ivvu/757Sc7O/zav/sf6Potf/9dvn39pf7L/+v/IpLnlQaJb59APMUhBGQJ328scucuVUovgmijWGYiBYDwEIpTIG6BKG7ryQq+70gzP0ezuektltwHYwDpwL94IEWSdBEmki3si+3ccrvDndtg7EZQ1WKmUADhSuSFdpgWl4uukhLIVu2vjPufouPyfkBy/k1EKY4X29ncXnTnZce7IFy7t0VfMbAiKsXIHD8uOPL7oqUgEMaQNm5bKKKoFntBbzEQT4TiFCEEzffq8/d8DbMEYyAbopxdTAsFEB5CMVLP7zB89dxxR58x4Mzvi+7cBmOqxUD8EIpTJsrwE7fgFWQYvvo4SRC31wfJF8XFdn63UACAjVCMVEpKUA0bwThcfL+TIe7VYloogHAQipE6UQTiJIVwghri6GL9re/nzFq1+Nq9raiXACQaoTiFshp6wmqXmPf4SZHV90iY+B4nCxt6AOBfN1IhLoE0Lutwg9CGpPJzd7ugBDGJAkCwCMVIvLgF0bitZx6CcTD4vsaHlxaKKKrFTKEA4oNQnFJh/1COIgRE3S6RFgQ4f2Xt+xnX7Z7jgGoxkCyEYiRS3MNw3Nd3VdaCHLCqsHuLmUABBI9QjERJUnU4Keu0EYxXx/dwNV4mUHjpKw6ihcJPtFAA8XAj6gUgOJ++uqN7d15FvQzfJC1kSu/WfOful1Evw7W0vWeAIJ1vXNPtl5fz77N5U7dPaTHBtFtnl7pxc/77x6uLN/6eL2uoFCP2klQdniVpa2db6OXwPYu3uFeLAUSPUIyVBRkGkhYo04SQ5x7fq2gkYTQbgOQgFAMhSGq4p2q8GN+fdE6g8HM8m5spFPQVA9EjFKfcrB/YSfkhntQg6STJzycp7xlgnqRv+8wECiBYhOKMscNN3ENOkgPkPEl+XlSNp/H98J+XCRRBS2Jv8bV7W1EvAUgsQnGGJOUHeJKDYxYk5X0UNL4P8RCHvuKwZxYDCAb/kjMgyAqf3+fNQiBOw3PMeiDM+vNPMq8tFH5Vi9ndDog/QjEQgbQE4yyGwyw+Z4SDi+2AaBGKERtpCIpepOX5ZikkZum54ituqsW0UADJx79ixEJaAmJWZbVqjK9EOZbNa19x0qdQAAgGoRiRiyIQDz+/qeHn0ff4pe2XgTQH4zQ/t7iJ0wQKP9FXDMQboRiZMx6GCcb+S2N4TONzgjdxGc/GrGIgOIRiRCrsQBiHEJwFaQqRaXou+EoQLRT0FQPJxr9gRCYugTgOQTlt1WIpHWEyDc8hK8KYVxyXajGAYBCKkQmLgi/BOBhJDpVJXjuSi7FsQHQIxRkW5Q/9MANgHAKvW2kNxkkLmElbL5YTxRQKLrYD4otQjFTzEoiTFJ6TKClBMynrjKMox7KFZVELBX3FQHLdiHoByJ6wqqHLhNzh5zcj/8H+6vP3dOful5GuISifvrqje3deRb0MRwTi+LhYf6sbZ9c9fc2bu9LNzwNaEJAS7XZbrVZL29vbsixLknR4eLjyeY+OjpTL5ZTP51c+V1QIxUilpFd90x6Mx8UlJBOIs+n1XekWQRoZ0Ww2dXx8rEajMTrWbrdVKBTUarWWPq9lWapUKhPnTSL+zoNQBV0l9mNTjqQH6qSxe46jCqVJ7HkGAK8sy9L+/r6ePn06cTyfz2swGKhery997lW+Nk4IxSF69fl7jh9YXdrCbBbfF2EHZMIwgKx49uyZTNOUYRhTt+3t7alWqy113na7neiWiXGE4pggJK/G70CctoCdREEHZAIxbF6nUKx6sR0TKBCFRqOhra2tmbeZpqlutzvqMfai2+0ql8utuLp4IBTHVFjhOMxgENTzCSrAxiEY8wvSO34HZAJxeoWxiUfQFs0qZqtnLKPT6cg0zZm32cf7/b6nc9brdV8u0osLQnHMUTl25kf/cBLw+k9aJSDTPwwgTS7fXujizZcTH04sy5rZOjHOSyju9/uOleekYvpEQqR5GsEywgrDcRjRBmfjAXfRFAvCcDjW7r7x7d/nMmPZlsUUCoTttvVGN26s9v7uv2jrJz/50cprscPyYDBw/TXNZjNVVWKJUJwoSQ7GflY7s1AdvirJr31Y5gVkAjH89np9TbfOhlEvY6Zr97Z0+an7cIPk+uCv/G194/2/Ofr84uJc/+//vBr44zabTRWLxcAfJ2yE4oTJejiKIhBTLU4eQnC2sYkHsuLatRu6dm31KGdfYOemHcKyLA0GA8f+5CSjpziB6DHNJl53IFhep1DMw3bPSKt6va6Dg4OolxEI/tUmVJICkl9rjbJtIi4tG0l63QEA8WGapuOFdHYv8aLqb5rGr81C+0SCZb2VAgCS6nzzpm6f0paF8ORyOcc5xHZYXhR4+/2+jo+Ppzb6sM/75MkTHR8fa2tra+nNQKJEKE64rATjOFRq49JbnJXXHADgn0KhoGp19kV4vV7P1a50xWJx5gV2lmVpc3NTjx8/TvQFeLRPIPbiEIgBRONi/e1SX7fsJh5e+ooX7WwHxMmjR480GAxmtlA0m02Vy+WJY5Zlqd1uh7W8WCAUp0Cc+0zjvLZlxCWgp+37CmDSol3tAK8Mw9DTp09VqVQmjjebTZmmOVXhLZVKKhQKqtfrC89tB20vc47jiPYJxFpcQigAAElXLBZlGIYqlYq2t7dHvcCtVmvqvoVCQZ1OR7u7u47n63a7evLkySgUVyoVtVotFQqFRE6oIBSnBH2m4aG3GJjPz13touDX7nbnG9d0++Xl6icCfJTP5131Dx8eHi7csS6Xy6nRaPi1tMjRPpEiYf9JPegNEpL8QxUAACQLoRiBWSWkxz0Qx2V99BYDzpa92A5ANhGKETtxCZwAACA7CMUpQ+UwPHEJ77zmgP/cjmZjLBuQHoRixEpcgmbSEIyxCO+R+Dnf5L93QJwQihGIZX4AJzEQJ3HNQNIsu4EHAHhBKE4hKkLZxOsOTEvrxXaXm+tRLwFIncTPKW6322q1WhNDqBfN1buqVCppa2tL5XJZuVxOlmWp0+moVqvp8ePHyuVyAaw8Hu7deRX1EhIvLnOLAfjLr3nFAJIh0aG42Wzq+Ph4YnB0u91WoVCYuTuLE8uy1Gw2J7YyNAxDjUYj1YE4TlZtQ7hxdl0Sf2ZlQw8gXtjAA0iOxIZiy7K0v7+vFy9eTBzP5/OqVCqq1+uutxjM5XKqVCrqdruSNHMP8KTJaji6cXadYJzR1x4AgFUkNhQ/e/ZMpmnKMIyp2/b29lSr1Tztu+1220Ms5rW31a8qcZRooQAAINkSe6Fdo9HQ1tbWzNtM01S32x31GCNb4hCSo8ZFd4A/3MwrZlYxkA6JDcWdTkemac68zT7e7/fDXFLsEIzCxXg24Ctx+stJWidQAPBXYtsnLMua2Toxrt/vu75Qrt/vq91ujz7v9Xp6/PjxwsfAaoJqnaC3mN5iIOkuNt/TjVP+DQNhSWwonscOsoPBwNX9+/2+ut3uRA9yt9vVzs6OTk5OFgbjs7Ozic9v376t27dve1oz0oHeYiAYF+tvaY3C0i6Hb3WprwolF0P+O41pqQzFXo2PdLPlcjnlcjnt7+/PvH3c+++/P/H5hx9+qI8++sjPJS4t7Gqhl5aNoC+wo1pMtRjwA/OKk6//5g/Vf/MHUS9jwg3rXDf8/j3v7bnPJ8yWVIZi+wI7pwvx3CoUCiqXywvv99Of/lTr61/tLkSVGACA+DBv/qo+uPkro88vhm/0ez//QYQrQhwl9kK7MNih2p5f7GR9fX3ig1C8WBrGsDmJ2wV3XHAJxNf5Zrz+e5FW19au68barbEPvu+YlthQbJqm43QJu5fYaTrFuHK5rEqlMvM2r73JCIeXQBzn8AwgPEygALBIYkNxLpdznENsh2U3kyeePXvmGK7t47u7u8stEr4j5AIAgCAkNhQXCgXHMNvr9VzvTndwcOB4IV2r1XLcNQ/LW7a9IEmBmBYKIF3cbOLh5HwjsT9qgUxJ7L/UR48eaTAYzAzGzWZz6gI5y7Im5hDbHjx4MLNn2LIsNZtNVatV/xYdEadAdO/Oq5BXsrxVAnGSwjSAZGJXOyD5EhuKDcPQ06dPp/qBm82mTNNUsVicOF4qlVQoFFSv1yeOF4tF1Wq1qWD88OFDHRwcTJ0H4SPU+oNqMQAAzhI9kq1YLMowDFUqFW1vb496jFut1tR9C4WCOp3OzP7gWq2mo6MjHR8fy7IsDQYDPX78mEDsURChy69AHMXMYjbyAAAgORIdiiUpn8+76h8+PDzU4eHh3NsRvLj12mYNm3kgy97clW6usAkHm3gA6ZbY9gmkH20TAMZlfYdKAMEiFCMzogjZVMYBAEgGQjFiiSpxcLjgLnt4zQFgMUIxAAAAMo9QjNC4bSUIskpMC8U7VA4RBqavAEgSQjEAAAAyj1CMpXz66k4g56WXGAAARIFQjMyhheIdWiiQRW/uRr0CAHGV+M07kAxxDIUAAGRNu91Wq9Wa2Al4mQ3M6vW6er2eut2uBoOB8vm8qtWqz6sNF6EYsUHrBAAAwWk2mzo+Plaj0Rgda7fbKhQKarVars9TqVRULpd1cHAgSbIsS6VSSZubm3rx4oUMw/B76aGgfQLIMFooAG9e036BhLIsS/v7+3r69OnE8Xw+r8FgoHq97uo8zWZTe3t7Mk1zdMwwDDUajVE4TipCcUbdu/Mq6iVMCLtKTF8xAL+9Xl9zvO18gx+3iNazZ89kmubMKu7e3p5qtZqr8zx//ly5XG7quGEYOjg4ULvdHrVlJA3/SjMqqOkRAABvzjf5hRnBazQa2tramnmbaZrqdruuwmy9XlehUJh5287OjiSp0+ksvc4oEYozYtafycMKxosqpPQSR4sWCiTJxfrbqJcAJFKn05loeRhnH+/3+wvPs7u763ibHaqdwnfcEYozJMpgDADw7mKTX1rhD8uyFl4A5yYUt1otx4vyer2eJM1sr0gCQjEyG4zpKwayiVnFSIvLywtdvD2f+FiGHZYHg8FK66nX66OJFEnESLaMefX5e7pz98uolzFC60Q8xO19AQBpd80607Vrt1c6R8/6z9V7+V/4tKLVVCoVmaaZ6FnFhGL4wqkvlcooAATjcnNd107Pol4GIrS98UD3179qVbi4fK3/7F/+c8/nWbUXuNvtql6v6+TkJLEziiVCMQAAQCJdW7uha2vRR7lSqaSPP/7Y8UK+pKCnGJGJQ+sEfcUAgCwwTdPxQjq7l3iZUFsoFFSr1RJ7cd04QjFit5EHosFoNgBIr1wu5ziH2A7LXoNtuVxWpVJRPp9fdXmxQCjGhG/csfSNO1bgjxOHKjEAAFlRKBQcK8W9Xs9zsD06OlKpVJr6un6/r3a7vfQ6o0QoziA3FUE/gjFtAkD0+AsAAEl69OiRBoPBzGDcbDZVLpcnjlmW5Rhum82mcrnczCDd7XYT21scfXc2ELEbZ9dD3yVr+PlNrd19E+pjAgCyyzAMPX36VJVKRY1GY3S82WzKNE0Vi8WJ+5dKJbXbbdVqtYnZw91uV7VaTaVSSfV6fXTcbs04Pj7WyclJsE8mIIRihI7WifhiXjEApFexWJRhGKpUKtre3h4F2Vk71BUKBXU6naltnR8+fDi3ipzUKrFEKAYAZNCbu9LNz6NeBRC+fD7vqn/48PBQh4eHU8dPT0+DWFYs0FMMz9xsC00/MQAASBJCMVbGhTwAACDpCMUIVVz7idnE4yv8kgMAyCJCMQAAHry+G/UKAASBUAwAQMpcu7cV9RKAxCEUY+Tqhh3LbuDh1BYQ19YJTKOFAnEW9lxxANlAKAYAAEDmEYqBCMX1YjsAALKGUAz8K7R3IG1ogwEA9wjF8OTqxh1uf+gSOJOHQAV493p9LeolAFgSoRi+8rMdgC1YAQBAWAjFAIDArN19E/USAMAVQjFiiSoxAAAIE6EYgfPaT5y1QBznCRT0FSPN3rAzHYAxN6JeAOLrT14ZoT1W1oIwAACIF0IxfOOl4uk2BN/8PNxqzo2z6+yWBQAI3OVnp7pcu+XvOYevfT1f1tA+AdeWGcfGKDYAAJAEhGKEjlYJAAAQN4RiAHNxsR0AIAsIxQgMrRMA8JXzDX7kAnHGv9CMiqr6R+sEAACII0IxlnI1VMd51m4S8P0DACBahGK4cnXyBAAAQJoQihEI+okBAECSEIoRe/QhAwCAoBGKMeJ2W+e09xNT5Z7GWDYAQNqxzXOIXvy7j6NeAgAAmXd2dqaNje9HvQzEDJViAAAAZB6hGAAAAJlHKAYAAEDmEYoBAACQeYRiAAAAZB6hGAAAAJmX+JFs7XZbrVZL29vbsixLknR4eBjZeQAAAOKK3OQs0aG42Wzq+PhYjUZjdKzdbqtQKKjVaoV+HgAAgLgiN82X2PYJy7K0v7+vp0+fThzP5/MaDAaq1+uhngcAACCuyE2LJTYUP3v2TKZpyjCMqdv29vZUq9UCP8/5+fnE/yLdzs/P9dFHH/F6ZwSvd7bwemdLFn9+xyE3xV1iQ3Gj0dDW1tbM20zTVLfbHfW4BHWeLP6jyrLz83P943/8j3m9M4LXO1t4vbMliz+/45Cb4i6xobjT6cg0zZm32cf7/X5o5wEAAIgrctNiiQ3FlmXNLN2Pc/Oi+HUeAACAuCI3LZbo6RNO7BdrMBgEep7hcChJ+tM//dOJ47dv39bt27dXemzEz9nZ2cT/It14vbOF1zvdzs/PJ1ol7J/b9s/xKFwM36x8jsvhpS71duVzhpWb4i6VoTgsb968e/P9jb/xNyJeCcL0/vvvR70EhIjXO1t4vbPF/jkeplu3bumXf/mX9Xv/vx8Ecv47d+7o1q1bgZw77VIZiu0Gb6dGcL/O88EHH6jX6+nmzZtaW1sbHadSDABAfFytFA+HQ71580YffPBB6Gt577339OLFC71+/Xrlc119XpJ09+5dvffee57OE1ZuirtUhuKwXLt2zbHZHAAAYJb33nvPc3BF8BJ7oZ1pmo6N3HYvi5vA6td5AAAA4orctFhiQ3Eul3Ocg2e/WLlcLrTzAAAAxBW5abHEhuJCoeD4m0qv11M+nw/1PAAAAHFFblpsbRjlPJIVWJal+/fv6+TkZKpMv729rWq1qmKxOHH/Tqcz9WJ5PY8ktdtttVotbW9vj35bOjw89PHZIS4sy1KlUpFhGKpWq1EvBwGr1+vq9XrqdrsaDAbK5/O87ilmWZbq9bo+++yz0eeDwUCPHz9ObKUL3hwdHSmXyyU6yLkVZW5KjGGCNRqNYbFYnDqWz+en7pvP54eShrVabaXzzLpvq9WaeV8k1+Hh4bBYLA6r1erQNM3hwcFB1EtCwA4PD4e9Xm/0+enp6TCfzw8Nwxienp5GtzAE4vT0dHh4eDj12jYajaGkYavVimZhCM3p6elQ0rDRaES9lNBEkZuSJNHTJ4rFogzDUKVSmajatlqtqfsWCgV1Oh3t7u4ufR7LsrS/v68XL15MHM/n86pUKqrX6zo4OPDnySFS49XB4+PjCFeCMDSbTe3t7U1UPQzDUKPR0Obmpkql0sz/riC5nj17pnq9rnK5PLE71/jPg5OTk+gWiMDV6/WolxC6sHNT0iS2fSIK9XpdtVpt5n8oj46OdHx8zH9EU2hnZ0e7u7uq1WpRLwUBqVQqjm0S5XJZ9Xpdp6enC7c2RXK0222VSiV9/PHHU60Sm5ubMk2T/56nWLvd1tbWlnZ2dtRoNJL75374KrEX2kWh0Wg4DqQ2TVPdbtfxikwA8VWv11UoFGbetrOzI0nqdDphLgkBy+fzOj09ndk7bFnWzOoY0qPb7dI3jimEYg86nY7j7D37uNMVmQDia14ASvoOTfDm6OhI0ru/HiCd6vU6F8djpkT3FIfNsqyFfz7t9/v89gkkzLw+uF6vJym5czfhnmVZqtVqajQaid18APP1+31+wYUjQrFP7LBs7+YCIB24gDbd7LFsvV5Pg8FArVaLQJxizWaTKjEcEYoBwEGlUpFpmswqTjHDMEYhqd1uq1wuq1wuc+FVCjWbTV5XzEUo9gl9h0C6dLtd1et1nZycMHUiI/L5vHZ3d7W5ualarcZfCFLE3piFvwJgHi60A4AZ7HFd/BDNFsMwVCwWVS6XmSaUIrRBwQ1CsQemaTpOl7B7ifkBCiRfoVBQrVbj4rqMevDggaR37RRIPsavwS3aJzzI5XKOlQM7LPMPD0i2crmsSqWifD4f9VIQoM3NTeXzeTUajanb7HYZRmymQ7/f1/Hx8dQGTPbP8ydPnuj4+FhbW1ts0pRxhGIPCoWC4wU3vV6PH6JAwh0dHalUKk39W+73++r3+/wbTwnLsua2Rthj+PjLXzoUi8WZF9hZlqXNzU09fvyYC/AgifYJTx49eqTBYDCzetBsNlUulyNYFQA/NJtN5XK5mcG32+0SkFLEMAwdHBzMrBJL79om7N5iANlBpdgDwzD09OlTVSqVif+YNptNmabJf0BTyr5qGenV7XZVq9VUKpVUr9dHx+1q4vHxsU5OTiJaHYJQqVRULpdVrVYnpovU63V1u11e7wywC1z89x22teFwOIx6EUnTbrfVarW0vb09+qHJMPB0OTo60vPnz9Xv99XtdiW9G9dkGIb29vb4BShlNjc35/453TTN0Z/UkS72ds72L79bW1tTQRnp0u129eTJk9F/3w3DUD6fV6FQYEJFxhGKAQAAkHn0FAMAACDzCMUAAADIPEIxAAAAMo9QDAAAgMwjFAMAACDzCMUAAADIPEIxAAAAMo9QDAAAgMwjFAMAACDzCMUAAADIPEIxAAAAMo9QDAAAgMwjFAMAACDzCMUAAADIPEIxAAAAMo9QDAAAgMwjFAMAACDzCMUAAADIvBtRLwAAgmBZlkqlkiTJMAw9ffpUhmFIko6OjtRqtWQYhizLUrVaVS6Xi3C1AICoUSkGkEr7+/tqNBpqtVpqt9ujgFwoFGQYhlqtlhqNhkzT1MOHDyNeLQAgalSKAaROu93WgwcPRpVh0zRHwbhUKung4EDSu4pxvV6PcKUAgLggFANInUajoUqlMvq83+9Lkra2tkaBWHoXliWpWq1OnaPdbqtWq2lra0vSuxaMWfeTpGazqVarpe3tbX322WeO5wQAxNfacDgcRr0IAPDTzs6OTk5OJL0LxNvb25Kk09PTUfV4nkqlona7PTqHfazb7arVak3ct16vj9o0xo/VarWJrwcAxBuhGEDqdLvd0YVz9Xpd5XJZ+Xx+KtDO0m63VSgUdHJyMnXx3drammq12qjabFmWNjc3Z953e3tblUplojINAIgvLrQDkDrjAdUOwvaFdovYbQ+zplHkcjnVarXR58+ePXO8bz6fn7gvACDeCMUAUq3ZbEp6F1Ld6HQ6ji0Wu7u76na7sixLkkbTK2bZ3t5Wt9v1vF4AQDQIxQBSq91uS3p3QZ1TeL3KsqzRxXVX2WHZvnBvXoC2j9trAADEG6EYQGrZrRNuq8TSuwA9GAxm3maHYft/5wVom11VBgDEG6EYQGrZVVq3/cTSuwDtFGTtdgin0DxuUVgGAMQLoRhAKlmWNQqxXirF1WpVhmGMepFt3W531ILhphXDDs5uAjQAIHqEYgCpZFeJvQRi6V0v8Mcff6wnT56MztFut9XpdEZTJtyEYrvaTMUYAJKBUAwgtQzDmNjZzq1cLjfaeKNer492wrN7ie1QbBiGYyXY3tnOzWYhAIDosc0zgFQqFosqFosrneNqlbnb7U4c293dHQVlt+cAAMQTlWIAGNPtdrWzszM1Y7jf76vf748295DeXcDnFIr7/f7MTT0AAPFEKAaAMZ1OZ+amG9VqVcVicSLoPnr0SNLsWcTtdlvlcjm4hQIAfLU2HA6HUS8CAOKi3++rUqmo0WiMjlUqFbXb7VGf8bijoyMdHx9P3HZ0dKTnz59PnAMAEG+EYgC4ot1uq1arSXo3RSKXy020TVzVbDbVarW0vb09usBu3v0BAPFDKAYAAEDm0VMMAACAzCMUAwAAIPMIxQAAAMg8QjEAAAAyj1AMAACAzCMUAwAAIPMIxQAAAMg8QjEAAAAyj1AMAACAzCMUAwAAIPP+/9RZWXoQQZlUAAAAAElFTkSuQmCC", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "u_T_values_axion = np.zeros((len(rho_arr), len(r90_vals_axion)))\n", + "\n", + "for i, r90 in enumerate(r90_vals_axion):\n", + " for j, rho in enumerate(rho_arr):\n", + " u_T_values_axion[j, i] = u_T_interp_funcs_axion[r90](rho)\n", + "\n", + "# Creating the contour plot\n", + "X, Y = np.meshgrid(r90_vals_axion, rho_arr)\n", + "plt.contourf(X, Y, u_T_values_axion, levels=20, cmap='viridis')\n", + "plt.colorbar(label='u_T')\n", + "# plt.xscale('log')\n", + "plt.xlabel(r'$r_{90}$')\n", + "plt.ylabel(r'$\\rho$')\n", + "plt.title('Axion Star')\n", + "plt.ylim(0,3)\n", + "plt.xlim(0,4)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 1610, + "metadata": {}, + "outputs": [], + "source": [ + "uT_interp_axion = RegularGridInterpolator((rho_arr, r90_vals_axion), u_T_values_axion)" + ] + }, + { + "cell_type": "code", + "execution_count": 100, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "u_T_values_axion_101 = np.zeros((len(rho_arr_101), len(r90_vals_axion)))\n", + "\n", + "for i, r90 in enumerate(r90_vals_axion):\n", + " for j, rho in enumerate(rho_arr_101):\n", + " u_T_values_axion_101[j, i] = u_T_interp_funcs_axion_101[r90](rho)\n", + " \n", + "# Creating the contour plot\n", + "X, Y = np.meshgrid(r90_vals_axion, rho_arr_101)\n", + "plt.contourf(X, Y, u_T_values_axion_101, levels=20, cmap='viridis')\n", + "plt.colorbar(label='u_T')\n", + "# plt.xscale('log')\n", + "plt.xlabel(r'$r_{90}$')\n", + "plt.ylabel(r'$\\rho$')\n", + "plt.title('Axion Star A_T = 1.01')\n", + "plt.ylim(0,15)\n", + "plt.xlim(0,10)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 101, + "metadata": {}, + "outputs": [], + "source": [ + "uT_interp_axion_101 = RegularGridInterpolator((rho_arr_101, r90_vals_axion), u_T_values_axion_101)" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#w central pbh\n", + "u_T_values_dressed = np.zeros((len(rho_arr), len(r90_vals_dressed)))\n", + "\n", + "for i, r90 in enumerate(r90_vals_dressed):\n", + " for j, rho in enumerate(rho_arr):\n", + " u_T_values_dressed[j, i] = u_T_interp_funcs_dressed[r90](rho)\n", + "\n", + "# Creating the contour plot\n", + "X, Y = np.meshgrid(r90_vals_dressed, rho_arr)\n", + "plt.contourf(X, Y, u_T_values_dressed, levels=10, cmap='viridis')\n", + "plt.colorbar(label='u_T')\n", + "plt.xscale('log')\n", + "plt.xlabel(r'$r_{90}$')\n", + "plt.ylabel(r'$\\rho$')\n", + "plt.title('Dressed PBH')\n", + "plt.ylim(0,3)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 102, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "u_T_values_dressed_101 = np.zeros((len(rho_arr_101), len(r90_vals_dressed)))\n", + "\n", + "for i, r90 in enumerate(r90_vals_dressed):\n", + " for j, rho in enumerate(rho_arr_101):\n", + " u_T_values_dressed_101[j, i] = u_T_interp_funcs_dressed_101[r90](rho)\n", + "\n", + "X, Y = np.meshgrid(r90_vals_dressed, rho_arr_101)\n", + "plt.contourf(X, Y, u_T_values_dressed_101, levels=20, cmap='viridis')\n", + "plt.colorbar(label='u_T')\n", + "plt.xscale('log')\n", + "plt.xlabel(r'$r_{90}$')\n", + "plt.ylabel(r'$\\rho$')\n", + "plt.title('Dressed PBH A_T = 1.01')\n", + "plt.ylim(0,15)\n", + "plt.xlim(1e-1,1e2)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 1611, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "u_T_values_dressed = np.zeros((len(rho_arr), len(r90_vals_dressed)))\n", + "\n", + "for i, r90 in enumerate(r90_vals_dressed):\n", + " for j, rho in enumerate(rho_arr):\n", + " u_T_values_dressed[j, i] = u_T_interp_funcs_dressed[r90](rho)\n", + "\n", + "# Creating the contour plot\n", + "X, Y = np.meshgrid(r90_vals_dressed, rho_arr)\n", + "plt.contourf(X, Y, u_T_values_dressed, levels=10, cmap='viridis')\n", + "plt.colorbar(label='u_T')\n", + "plt.xscale('log')\n", + "plt.xlabel(r'$r_{90}$')\n", + "plt.ylabel(r'$\\rho$')\n", + "plt.title('Dressed PBH')\n", + "plt.ylim(0,3)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 103, + "metadata": {}, + "outputs": [], + "source": [ + "uT_interp_dressed_101 = RegularGridInterpolator((rho_arr_101, r90_vals_dressed), u_T_values_dressed_101)" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [], + "source": [ + "uT_interp_dressed = RegularGridInterpolator((rho_arr, r90_vals_dressed), u_T_values_dressed)" + ] + }, + { + "cell_type": "code", + "execution_count": 104, + "metadata": {}, + "outputs": [], + "source": [ + "# with open('../LensCalcPy/interpolations/ut_interp_nfw.pkl', 'wb') as f:\n", + "# pickle.dump(uT_interp_nfw, f)\n", + "\n", + "# with open('../LensCalcPy/interpolations/ut_interp_nfw_101.pkl', 'wb') as f:\n", + "# pickle.dump(uT_interp_nfw_101, f)\n", + "\n", + "# with open('../LensCalcPy/interpolations/ut_interp_axion.pkl', 'wb') as f:\n", + "# pickle.dump(uT_interp_axion, f)\n", + "\n", + "# with open('../LensCalcPy/interpolations/ut_interp_axion_101.pkl', 'wb') as f:\n", + "# pickle.dump(uT_interp_axion_101, f)\n", + "\n", + "# with open('../LensCalcPy/interpolations/ut_interp_dressed.pkl', 'wb') as f:\n", + "# pickle.dump(uT_interp_dressed, f)\n", + "\n", + "# with open('../LensCalcPy/interpolations/ut_interp_dressed_101.pkl', 'wb') as f:\n", + "# pickle.dump(uT_interp_dressed_101, f)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "base", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.7" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/examples/roman_monitored_stars.csv b/examples/roman_monitored_stars.csv new file mode 100644 index 0000000..fb35719 --- /dev/null +++ b/examples/roman_monitored_stars.csv @@ -0,0 +1,13 @@ +15.06201550387597, 499917.5794015748 +15.372093023255815, 704239.0052211422 +15.875968992248062, 989852.128181556 +16.457364341085274, 1169079.455642526 +17.116279069767444, 1640276.7830368916 +17.736434108527135, 2439198.7440432496 +18.27906976744186, 3846169.8810378993 +18.550387596899228, 5116603.419209517 +19.015503875968992, 8554886.589805339 +19.868217054263567, 21327625.75166151 +20.48837209302326, 35595727.59210791 +20.875968992248062, 50099220.97329068 +21.10852713178295, 59409136.1863307 diff --git a/examples/roman_noise_sim_total.csv b/examples/roman_noise_sim_total.csv new file mode 100644 index 0000000..950bf85 --- /dev/null +++ b/examples/roman_noise_sim_total.csv @@ -0,0 +1,35 @@ +15.024089791019577, 0.6656213252261295 +15.212455734267117, 0.6742680351302595 +15.409790228236425, 0.6830063270838427 +15.562281968596881, 0.6919629272107403 +15.750674289934778, 0.7105104757765375 +15.921129509829134, 0.7295994904255918 +16.118464003798444, 0.7390548598400594 +16.27995067297103, 0.7589338132306592 +16.468342994308927, 0.77927646629137 +16.638824592293638, 0.811125232365796 +16.85409618770649, 0.8215872456648331 +16.988729960894478, 0.8669321511909134 +17.177122282232375, 0.8901696189007514 +17.356625187119576, 0.9519640714395223 +17.553986059179245, 0.9774510715908169 +17.706556933810774, 1.0313357443031836 +17.886086216788335, 1.117970062300264 +18.047625642141636, 1.1795654073512691 +18.23609709775061, 1.261411042382229 +18.406684208096753, 1.3860606548341103 +18.56827638963077, 1.502583853789963 +18.7567742233301, 1.6287545153757697 +18.927361333676245, 1.7897041283880557 +19.088953515210264, 1.9401607837277375 +19.286446277721723, 2.1316885970058994 +19.439096286624327, 2.34247922188258 +19.609709775060832, 2.6090576094131324 +19.780323263497337, 2.9059731013391144 +19.941915445031356, 3.150272137363782 +20.12152386227999, 3.556518880143234 +20.265178942370465, 3.855742111326966 +20.444813737709456, 4.412323429276073 +20.606432297333832, 4.848485884126661 +20.777072163860694, 5.473893846684122 +20.97464406064323, 6.263676989072334 From c3fbfe62bf3e2dff866ef4af6495525095937c71 Mon Sep 17 00:00:00 2001 From: Nolan Smyth Date: Tue, 20 Feb 2024 21:04:14 -0800 Subject: [PATCH 12/17] Fixed threshold mag blend calc --- examples/extended.ipynb | 57 ++++++++++++++++++++++++----------------- 1 file changed, 33 insertions(+), 24 deletions(-) diff --git a/examples/extended.ipynb b/examples/extended.ipynb index a49cbd2..96e5f95 100644 --- a/examples/extended.ipynb +++ b/examples/extended.ipynb @@ -117,11 +117,11 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 88, "metadata": {}, "outputs": [], "source": [ - "roman_noise_interp = interp1d(roman_noise[:,0], roman_noise[:,1])\n", + "roman_noise_interp = interp1d(roman_noise[:,0], 2*roman_noise[:,1]) #The factor of two is to account for the cadence of 15 mins (0.25)^(1/2)\n", "roman_monitored_interp = interp1d(roman_monitored[:,0], roman_monitored[:,1])\n", "roman_blend_frac_interp = interp1d(roman_blend_frac[:,0], roman_blend_frac[:,1])\n", "\n", @@ -150,16 +150,36 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 89, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array(12.52735398)" + ] + }, + "execution_count": 89, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "roman_noise_func(21)" + ] + }, + { + "cell_type": "code", + "execution_count": 90, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "0.03281650508284671" + "0.06563301016569342" ] }, - "execution_count": 22, + "execution_count": 90, "metadata": {}, "output_type": "execute_result" } @@ -170,7 +190,7 @@ }, { "cell_type": "code", - "execution_count": 29, + "execution_count": 91, "metadata": {}, "outputs": [ { @@ -179,7 +199,7 @@ "6001.7526428155115" ] }, - "execution_count": 29, + "execution_count": 91, "metadata": {}, "output_type": "execute_result" } @@ -191,7 +211,7 @@ }, { "cell_type": "code", - "execution_count": 52, + "execution_count": 92, "metadata": {}, "outputs": [ { @@ -200,7 +220,7 @@ "0.001" ] }, - "execution_count": 52, + "execution_count": 92, "metadata": {}, "output_type": "execute_result" } @@ -211,7 +231,7 @@ }, { "cell_type": "code", - "execution_count": 53, + "execution_count": 93, "metadata": {}, "outputs": [], "source": [ @@ -227,27 +247,16 @@ }, { "cell_type": "code", - "execution_count": 70, + "execution_count": 95, "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "mag_arr = np.linspace(15, 21, 100)\n", "significance = 8\n", "thresh_arr = np.array([get_realistic_magnification_thresh(mag, significance=significance) for mag in mag_arr])\n", "plt.plot(mag_arr, thresh_arr)\n", "plt.xlabel('F146 AB mag')\n", - "plt.ylabel('Mgnification threshold')\n", + "plt.ylabel('Magnification threshold')\n", "plt.title(r'${} \\sigma$ threshold'.format(significance))\n", "plt.show()\n" ] From 6ac76804627e2050427861ab79a82903c55d110a Mon Sep 17 00:00:00 2001 From: Nolan Smyth Date: Thu, 22 Feb 2024 16:59:49 -0800 Subject: [PATCH 13/17] Add interpolation files for threshold calculations --- LensCalcPy/_modidx.py | 3 + LensCalcPy/interpolations/interps.py | 10 + .../interpolations/ut_interp_axion_thresh.pkl | Bin 0 -> 21179 bytes .../ut_interp_dressed_thresh.pkl | Bin 0 -> 21179 bytes .../interpolations/ut_interp_nfw_thresh.pkl | Bin 0 -> 21179 bytes LensCalcPy/pbh.py | 1 + LensCalcPy/utils.py | 45 +- examples/extended.ipynb | 1437 ++++------------- nbs/04_utils.ipynb | 42 + 9 files changed, 406 insertions(+), 1132 deletions(-) create mode 100644 LensCalcPy/interpolations/ut_interp_axion_thresh.pkl create mode 100644 LensCalcPy/interpolations/ut_interp_dressed_thresh.pkl create mode 100644 LensCalcPy/interpolations/ut_interp_nfw_thresh.pkl diff --git a/LensCalcPy/_modidx.py b/LensCalcPy/_modidx.py index e3f4df4..6750c31 100644 --- a/LensCalcPy/_modidx.py +++ b/LensCalcPy/_modidx.py @@ -192,12 +192,15 @@ 'LensCalcPy.utils.t_fwhm_gondolo': ('utils.html#t_fwhm_gondolo', 'LensCalcPy/utils.py'), 'LensCalcPy.utils.u_t_axion': ('utils.html#u_t_axion', 'LensCalcPy/utils.py'), 'LensCalcPy.utils.u_t_axion_101': ('utils.html#u_t_axion_101', 'LensCalcPy/utils.py'), + 'LensCalcPy.utils.u_t_axion_thresh': ('utils.html#u_t_axion_thresh', 'LensCalcPy/utils.py'), 'LensCalcPy.utils.u_t_dressed': ('utils.html#u_t_dressed', 'LensCalcPy/utils.py'), 'LensCalcPy.utils.u_t_dressed_101': ('utils.html#u_t_dressed_101', 'LensCalcPy/utils.py'), + 'LensCalcPy.utils.u_t_dressed_thresh': ('utils.html#u_t_dressed_thresh', 'LensCalcPy/utils.py'), 'LensCalcPy.utils.u_t_finite': ('utils.html#u_t_finite', 'LensCalcPy/utils.py'), 'LensCalcPy.utils.u_t_finite_wave': ('utils.html#u_t_finite_wave', 'LensCalcPy/utils.py'), 'LensCalcPy.utils.u_t_nfw': ('utils.html#u_t_nfw', 'LensCalcPy/utils.py'), 'LensCalcPy.utils.u_t_nfw_101': ('utils.html#u_t_nfw_101', 'LensCalcPy/utils.py'), + 'LensCalcPy.utils.u_t_nfw_thresh': ('utils.html#u_t_nfw_thresh', 'LensCalcPy/utils.py'), 'LensCalcPy.utils.u_t_point': ('utils.html#u_t_point', 'LensCalcPy/utils.py'), 'LensCalcPy.utils.uhm_point': ('utils.html#uhm_point', 'LensCalcPy/utils.py'), 'LensCalcPy.utils.ut_func_new': ('utils.html#ut_func_new', 'LensCalcPy/utils.py'), diff --git a/LensCalcPy/interpolations/interps.py b/LensCalcPy/interpolations/interps.py index e19803d..490918c 100644 --- a/LensCalcPy/interpolations/interps.py +++ b/LensCalcPy/interpolations/interps.py @@ -33,3 +33,13 @@ with open(file_path + "/ut_interp_dressed_101.pkl", "rb") as f: ut_interp_dressed_101 = pickle.load(f) +with open(file_path + "/ut_interp_nfw_thresh.pkl", "rb") as f: + ut_interp_nfw_thresh = pickle.load(f) + +with open(file_path + "/ut_interp_axion_thresh.pkl", "rb") as f: + ut_interp_axion_thresh = pickle.load(f) + +with open(file_path + "/ut_interp_dressed_thresh.pkl", "rb") as f: + ut_interp_dressed_thresh = pickle.load(f) + + diff --git a/LensCalcPy/interpolations/ut_interp_axion_thresh.pkl b/LensCalcPy/interpolations/ut_interp_axion_thresh.pkl new file mode 100644 index 0000000000000000000000000000000000000000..7035ee94943d761a8b9a55739be9dd257072adcf GIT binary patch literal 21179 zcmeIac{G(@{P=sGGf(D&N-~RzqL8BJU74Z*Q4*Dqc^)cCrBI?WPZ5$SQ-eq)g_4p| z(twZ#4U$BhbDX>T40qkT*8TVA`(5jPoh0m{>J*q9$KLH1;_DK$(={*?1pYmj+68a@j>r!_6u~?^a=3}_HYUe 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ut_interp_nfw_thresh.grid[0][0] + return ut_interp_nfw_thresh((rho, r90)) + +def u_t_axion_thresh(rho, r90): + if r90 > ut_interp_axion_thresh.grid[1][-1]: + return 0 + elif r90 < ut_interp_axion_thresh.grid[1][0]: + r90 = ut_interp_axion_thresh.grid[1][0] + if rho > ut_interp_axion_thresh.grid[0][-1]: + return 0 + elif rho < ut_interp_axion_thresh.grid[0][0]: + rho = ut_interp_axion_thresh.grid[0][0] + return ut_interp_axion_thresh((rho, r90)) + +def u_t_dressed_thresh(rho, r90): + if r90 > ut_interp_dressed_thresh.grid[1][-1]: + return 0 + elif r90 < ut_interp_dressed_thresh.grid[1][0]: + r90 = ut_interp_dressed_thresh.grid[1][0] + if rho > ut_interp_dressed_thresh.grid[0][-1]: + return 0 + elif rho < ut_interp_dressed_thresh.grid[0][0]: + rho = ut_interp_dressed_thresh.grid[0][0] + return ut_interp_dressed_thresh((rho, r90)) + + + +# %% ../nbs/04_utils.ipynb 17 #Ratio of angular extent of source and lens in plane of lens # rho == theta_s/theta_l rho_min = 0.1 @@ -343,7 +380,7 @@ def u_t_dressed_101(rho, r90): A_threshs = np.linspace(A_thresh_min, A_thresh_max, 40) -# %% ../nbs/04_utils.ipynb 18 +# %% ../nbs/04_utils.ipynb 19 def ut_func_new(rho, A_thresh): # rho = np.asarray(rho) rho = np.atleast_1d(rho) # Ensure rho is at least 1-dimensional @@ -352,7 +389,7 @@ def ut_func_new(rho, A_thresh): # return ut_interp_rho(rho) return ut_interp_rho(rho, A_thresh) -# %% ../nbs/04_utils.ipynb 33 +# %% ../nbs/04_utils.ipynb 34 def f_func(x): return (2 + x)/(x*(4+x))**(0.5) - 1 diff --git a/examples/extended.ipynb b/examples/extended.ipynb index 96e5f95..e69494a 100644 --- a/examples/extended.ipynb +++ b/examples/extended.ipynb @@ -58,7 +58,7 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 3, "metadata": {}, "outputs": [], "source": [ @@ -73,7 +73,7 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 4, "metadata": {}, "outputs": [ { @@ -117,7 +117,7 @@ }, { "cell_type": "code", - "execution_count": 88, + "execution_count": 5, "metadata": {}, "outputs": [], "source": [ @@ -150,314 +150,81 @@ }, { "cell_type": "code", - "execution_count": 89, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "array(12.52735398)" - ] - }, - "execution_count": 89, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "roman_noise_func(21)" - ] - }, - { - "cell_type": "code", - "execution_count": 90, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "0.06563301016569342" - ] - }, - "execution_count": 90, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "roman_noise_func(20)*1e-2" - ] - }, - { - "cell_type": "code", - "execution_count": 91, + "execution_count": 6, "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "6001.7526428155115" - ] - }, - "execution_count": 91, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ - "zp = 27.648\n", - "0.83*10**(-0.4*(18 - zp))" + "def get_realistic_magnification_thresh(mag, significance=3):\n", + " '''\n", + " Get the realistic magnification threshold for a detected event given magnitude and significance level in sigma\n", + " '''\n", + " threshold_above_baseline_frac = roman_noise_func(mag) * 1e-3\n", + " flux_contamination = roman_blend_frac_func(mag)\n", + " # return (1-flux_contamination)*(1+threshold_above_baseline_frac) + flux_contamination \n", + " return (1 + significance*threshold_above_baseline_frac - flux_contamination)/(1 - flux_contamination)" ] }, { "cell_type": "code", - "execution_count": 92, + "execution_count": 7, "metadata": {}, "outputs": [ { "data": { + "image/png": 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zsVMAgN95yw3YvnmDwdWUlqEBWpZlyLJsZAlEREREtEZXZucwOHYaQO3O/bxQwR8P7r//fiSTSV1PLkmSrscjIiIiovL791++irPnL+O67Q2w79lhdDklV3CAHhwcRCqVgqqqupzYZDJBVdWanR+QiIiIaL144urNgx/ddxM21ODS3YsV/BWKogin04mpqSnMzc3lfQQCAbjdbiQSCUxNTeV8HDt2DAcOHEA4HNZ9VJuIiIiIyke5eAVf+/krANZH+wZQxAi0xWKBx+OB2Zx/ScaJiQkkEgkcPnx42WPZ7XbY7Xbcd999sNvthVdLRERERBUl9KPTmJ6Zw1uu3447bmw0upyyKHgE2ufzob29fdltAoEABgYGCj754cOHEQwGC96eiIiIiCqL1r7xibbaXbp7sYJHoPft27fiNhaLpegC9OqpJiIiIqLyGp+8gO+MJ2EyAR/bd5PR5ZSNrl3eq5mSjj3QRERERNXpC1eX7u7cvQM31/DS3YsZHqA5DzQRERFR9VFVNat9Yz3RNUDv27cPn/vc5wrefmRkhC0cRERERFXoB88rOHn2PLZurMf+Gl+6ezFd11kcGBjA7t27AQCf/OQnl912ZGQEHo8HkUhEzxKIiIiIqAy00ef9b70e1zTU9tLdi+n+1R4+fBh33XUXfD4fDhw4gI6ODgiCAABQFAWyLGNwcBDxeByhUAi7du3SuwQiIiIiKqHLM3MYHHsRwPpr3wBKEKDtdjui0ShcLhd8Pt+S6UxUVYUgCDh27Bg6Ozv1Pj0RERERldi//vIVJC9cwQ2NDejcs9PocsquJOPtNpsNiUQCfr8fkiRlbhQURREOhwMHDx4sxWmJiIiIqAy+cLV942P7bkZ93fqY+3khk8q7+MoinU7DbDYjlUqhsXF9rNJDREREtSd54TJueOQYrsyqGHvgfXhbDa0+WGhe03UWjtUYGRkxugQiIiIiKtDQ2GlcmVXxthsaayo8F8PwAO3xeFa9r6Io8Hg88Hq9qz6GJEnwer0IBoPw+/3w+/1LtonH43C5XJyzmoiIiNY9bfGUe9bhzYOagnug0+m07idPJBKrWonQ6/VClmV0dHRAkiTY7fZVnT8cDmNwcBChUCjzmiRJcDgcWdPrybKMcDiMcDi87PESiQREUVxVLURERESVLnH2PL43MYU6E/Ax2/pZunuxggO0IAhLZtQwis/ny/x5cHBwVcdQFAU9PT0YHx/Pet1ut2dGpN1uNwBgdHQUbrcbVqs157EmJycBgOGZiIiIapo297N9z07c0LjZ4GqMU3CAFkURsizD6XQCACwWy5pOnEwmkUgkMDY2tqbjrNbQ0BBEUczMUb1Qd3c3AoFAJkADQCAQyHssr9ebFeqJiIiIao2qqvhifH0u3b1YUSPQwWAQ9957r64FNDc363q8QoVCobwfAkRRRDweh6IoEAQBHR0deY8TDAbX1MdNREREVA2efm4KickL2LapHh9+y/VGl2Oogm8ibG9vR3t7u+4FtLa26n7MQkSj0bwtF9rr2k2D2qj7YgvntyYiIiKqZZ+Pzo8+H3jrDdi2zpbuXqzgAH348GHccccduhcQjUZ1P2YhtNHl5aw064bP58tq8yAiIiKqRdMzswj96DQAtm8AJVqJcKF0Og1ZlpFMJiGKInbt2lXqU66ZFqyXmyFkta0bi2czaWhoQENDQ9HHISIiIiqXf/nFq5i6eAU3mTfjA7t3GF2ObqanpzE9PZ15XuiscyWbB3psbAwdHR1oampCW1sbHA4HrFYr9u7di6985SulOm3ZhEIh2Gy2ovdraWmB2WzOPPr7+0tQHREREZF+noieAgB8bN9NNbV0d39/f1Yua2lpKWi/koxA33fffQgGgwDmR3O1m/WSySROnjwJp9MJl8uFL3/5y6U4/ZopigIg/0wjwWBwVeEZAE6dOpW1NCRHn4mIiKiSTZ6/jH/95asAam/xlL6+PjzwwAOZ5+l0uqAQrfsIdF9fH6LRKCKRCObm5jKh+eTJk0gmk5iamsJjjz2GaDSKT33qU3qfviwCgQAcDseq9m1sbMx6MEATERFRJRu8unT3vpsa8ZYbamvp7oaGhiXZrBC6Bujjx48jEokgGo2is7Mz5zZmsxlutzsTqo2aB1qb1zoXrfc51+wasiwjHo9z5g0iIiJaF56Izbdv8ObB1+kaoIPBIIaHhwvefmhoyLAeYJvNlmnVWEwL1rnaNCRJAsCp64iIiKj2PXvmNfzgeQV1JuCjd6zfpbsX0zVAq6oKs9lc8PaCIGBqakrPEgrmcDjyjkAnEgnY7fac78VisVKWRURERFQxvnB16e67b7sW16/jpbsX0zVANzU1Fb1PqUdyFUXJjBov1NXVhWQymTNEh8PhvFPUybK84vzRRERERNVubk7NBGi2b2TTNUDna4lYzlpHoBVFWXa+ZpfLBYfDkZkVRCMIAo4cOQKv15v1ejgchiiKK64+SERERFTLvjuRxMTURWxv2IAPvfk6o8upKLpOY6eqKp577jnceuutBW0/Nja2qlFrv9+P0dFRyLKceTgcDgiCgO7u7qzw63A4EI1Gcy5D7nQ6IQgCvF4vrFZr5gNAJBLJe+7leqeJiIiIasUTV0efD7ztBmzdtL6X7l7MpKqqqtfBZFnG3XffjXg8ju3bty+77fj4ONrb2xGLxapidcK1SqfTMJvNSKVSBU+RQkRERGSES1dmccMjx5C6NIPh+95VU6sPLqfQvKZrC4coiujv78euXbvw4IMPYmxsLGtJxHQ6jZGREXR3d2P37t0YGBhYF+GZiIiIqJp87eevIHVpBi3CZrxPbDa6nIqj+3i80+lEMpnEfffdB5/Pl3MbVVXh8/nQ09Oj9+mJiIiIaI20mwc/ZrsZdTW0dLdedF+JEADcbjeSySTuvfdemM1mqKqaeRw4cACJRAIHDx4sxamJiIiIaA3OvDaNf9OW7rZx9o1cStYRLggCAoEAAoEAACCVShU1RzQRERERld+Xx05jZk5F281mvOn65e9pW69KMgKdC8MzERERUeXj3M8rK1uAzmfPnj1Gl0BEREREAH756jmMnlJQX2fi0t3LMDxAT05OGl0CEREREeH1uZ8/eNtOXLu9weBqKpfuPdDpdBrBYBCRSGTZFQKB+XmjU6mU3iUQERERUZHm5lR8MfYiALZvrETXAJ1KpdDa2lrUSn0mE6dGISIiIjLat8cn8bxyEY2bN+C333y90eVUNF1bOHp6ejKrC87Nza34SCaTEARBzxKIiIiIaBU+f7V9w/m2G7FlY73B1VQ2XUegZVlGNBoteHtBENDU1KRnCURERERUpItXZnH0xy8BAO5p482DK9F1BLq9vb3ofUKhkJ4lEBEREVGR/t/PXkb60gxubdqC97Zy6e6V6BqgVzOavG/fPj1LICIiIqIiPRGdb9/4OJfuLoiuAdpisWBiYqKofUZGRvQsgYiIiIiK8Mq5aXz92TMAgHs4+0ZBdA3QBw8exMDAANLpdMH7eDwePUsgIiIioiJ8eexFzM6peHuLgNuuvcbocqqC7vNA+3w+eL1eCIIAh8MBURRhsVhybptIJFacK5qIiIiISkdr3+Dcz4UrOEDX1dUVPWez3+8vuiAiIiIiKo+fv3wO8RdT2FBnwkf23Wh0OVWj4AAtiiJkWYbdbtdt7uZEIoGxsTFdjkVERERExXkiPj/6/GtvuBY7tnHp7kIVHKAFQUAwGMS9996rawHNzZwqhYiIiKjc5pfung/QvHmwOAXfRNje3r6qeZ5X0traqvsxiYiIiGh530xM4oXUJZg3b8Bvvuk6o8upKgWPQB8+fLgkBRSzciERERER6eMLV0efXbffiM1cursouk5jR0RERESV78LlGYR/choA8LvtbN8olq4BemxsLOuxcFGViYkJ3H333aivr0dzczO6u7uLmi+aiIiIiPTx1Z++jNemZ9Fq2Yr37Mo93TDlp2uAjkQiaGtrg8vlwuDgIBRFAQCkUinYbDZEIhEMDAxAkiS4XC50dnbqeXoiIiIiKoDWvvFx201FT1NMOi+kYrfbM6sRLtTT04NUKgVJknDnnXcCAPbt2wdRFNHX14f+/n49yyAiIiKiPF5OX8IxLt29JrqOQA8NDS0JzwAQDodhs9ky4Vljs9mgqqqeJRARERHRMr50/EXMqcA7b23Cnp1cuns1dA3QuZbsHh4eBjA/Op0Lf21AREREVD5a+8YnbBx9Xq2Sz8IRiURgMpnQ0dGR832tT5qIiIiISusnL6UxdjqNjfUmdN/BpbtXS9cA3dTUtOQ1SZIA5B+BZgsHERERUXk8cXX0+TfeeB2at20yuJrqpWuAPnnyZNbzVCqFeDwOm82GxsbGJds//vjjcLlcepZARERERDnMzqn4UvxFAMAnePPgmugaoD0eD7q7u3Hu3DlMTEzAbrfDZDLB5/Mt2bavrw+xWIxT2RERERGVwTdOnsXp9CU0bdmI33jjtUaXU9V0ncautbUVLpcLt956a6a3ORAIZGbfOHr0KAKBQKatAwAEQeA0dkREREQlprVvdN1xIxo2cOnutTCpJWpCTqVSMJvNS15LJpNLtm1tbS1FCRUlnU7DbDYjlUrlbGchIiIiKpXz0zO4/pFjOH95Ft/5w/fg3Vx9MKdC85quI9ALxWIxRCIRxONxeDwe7N+/H2azGWazGX19ffB4PNi1a9eazqEoCrxeLwRByNkmUghJkhCJRGC1WjOj5r29vXm3l2UZXq8XwPy0fWs5NxEREVE5fOWnL+P85VlYm7fiXbcunfSBiqN7gJ6YmIDL5UI8Hs/MsOFwOLK2OXToEPr7+3HXXXctWVylEF6vF7Iso6OjA5Ik5Z3hYyXhcBiDg4MIhUKZ1yRJgsPhQCQSybl9f38/QqEQRFEE8HqIZ4gmIiKiSvVE7BSA+ZsHuQbH2uk+D7TdbsfU1BQOHz6MWCyGqampJduYzWYMDAzg2LFjmJiYKPocPp8PoVAIvb29EARhVXUqioKenh4cOXJkSf3JZBLBYDDr9Xg8jp6eHgwPD2fCMzC/THk4HF5VDURERESldjp1CcMnzgLg4il60TVAHzp0CHa7HSdPnkRPTw/27du3pA96oYGBAcNGboeGhiCKYs4A3t3djUAgkPWa1+tFX1/fku0dDgc8Hk8JKyUiIiJaPW3p7nfvaoJ1xzajy6kJurZwKIqCw4cPF7WPUQuphEKhnEuPA4AoiojH41AUBYIgIB6PQ5KkrFYPjdvtLnWpRERERKumLd19D+d+1o2uI9Cr6akxqg8nGo1mtWIspL0uyzKA+an48o1WExEREVWqH51O4ccvpbGpvg5dt3Ppbr2UbBaOQmkhtdy00eXlyLIMm80GSZIyodrv9wOYn786kUjkbOsgIiIiqgTa3M+/+aZr0bSVS3frRdcAPTk5ieeeew633nprQds/+eSTFTkHtBaItTmrtSDt9/uzpriTZRltbW2IxWIM0URERFRRZmbnMkt339PWYnA1tUXXFg632w2n04nnnntuxW2Hh4fR09ODQ4cO6VlCycTjcTidzqzXRFGE3W5HT09PwcdJp9NZj+npab1LJSIiIsLwybN4+dw0mrduxK+9gUt35zI9Pb0kmxVC1wBtt9tx5513QhRFPPjggxgZGUE6ncbk5GSmqJGREXR3d+Ouu+7CwMDAmhdTKQVtQZXFNxnm6plua2tDOBzO7LOSlpaWzIIyZrOZy5gTERFRSXwhs3T3Tdi0QfeZi2tCf39/Vi5raSlspF73HmhtWrrFU9RpvcPA/MwbgUCgqJFbo610w2E0Gi1oQZdTp05lLQ3Z0NCgT4FEREREV527NIOv/ORlAMDvcvaNvPr6+vDAAw9knqfT6YJCdEk+jvh8Ppw8eRL79+9Ha2srVFXNPA4cOIBEImF4eBZFMe8NjFrvsxaOC5mBo9CbIRsbG7MeDNBERESktyd/8hIuXJnFnh3b8PZbBKPLqVgNDQ1LslkhSjYLhyiKWfMmp1KpZRdVKTebzZa37UILwzabLfPflQJye3u7rvURERERrdYX4vPtG1y6uzTK1hBTSeEZmF9BMF8oTiQSWe0Y3d3diMfjObfVjpGvxYOIiIionF5QLmLkJJfuLiVdA/TRo0dRX1+PBx98UM/DromiKJAkacnrXV1dSCaTOUN0OBzOWp7b6XRCEASEw+El24ZCIbjdbk5jR0RERBXhi/EXoarAe1staG3eanQ5NUnXAD04OAhVVZFIJPQ87LIURcn0LOficrngcDgQDAazXhcEAUeOHIHX6816PRwOQxTFJVPWhUIheL3erLaPYDAIWZazbpYkIiIiMoqqqpnZNz7BmwdLRtceaFEUMTU1VfJ2Db/fj9HRUciynHk4HA4IgoDu7u6s8OtwOBCNRnP2KGsjy16vF1arNROOI5HIkm3tdntm5hCLxYJkMglRFMv6YYGIiIhoOWOn0/jZK+fQsKEOLi7dXTImVVVVvQ5233334fDhw0Xt093djcHBQb1KqFjpdBpmsxmpVKrgOzyJiIiIivFf/u9P8bffHofrbTdg8Hc5wUGxCs1rurZwDAwMoLu7u6h98t2cR0RERESFm5mdw5fHTgNg+0ap6drCIQgCgsEg7r//flitVtjtdoiimDfBj4+PL9u/TERERESFiTx7Bq+cm8aObZvwQS7dXVK6Bug9e/Zk/rz4pj0iIiIiKp0nrt48+JF9N2FjPZfuLiVdA7SqqpBlGTabDZ2dnStun0gkMDExoWcJREREROtO+tIVfPWn80t338O5n0uuJC0c9957b8H7NDc361kCERER0bpz9Mcv4dLMHG7buQ3tLZW1eF0t0nV8XxTFope0bmpq0rMEIiIionVHm/v5nvYWLt1dBrqOQA8NDRW9z8mTJ/UsgYiIiGhdeX7qAr6RmAQAfHzfTQZXsz6ww5yIiIioin0x/iIA4H1iM261cOnucjA8QC+cuYOIiIiICrdw6e572nnzYLkYHqAnJyeNLoGIiIioKsVeSOEXr76GzRvq4HzbDUaXs27o2gMNzC+BGAwGEYlEVlwkRZZlpFIpvUsgIiIiWhe0uZ8/9Jbr0bh5o8HVrB+6BuhUKoXW1lYoilLwPrxTlIiIiKh4V2bn8OXj8/3P93Dp7rLStYWjp6cH7e3tiMVimJubW/GRTCYhCIKeJRARERGtC19/5gzOnL+Ma6/ZhLv27jS6nHVF1xFoWZYRjUYL3l4QBM4DTURERLQKX1iwdPcGLt1dVrpe7WIXUQGAUCikZwlERERENU+5eAX/92dXl+5m+0bZ6RqgVzOavG/fPj1LICIiIqp54R+fxvTMHN503TWw3cSlu8tN1wBtsVgwMTFR1D4jIyN6lkBERERU87T2jU+03cwJGQyga4A+ePAgBgYGkE6nC97H4/HoWQIRERFRTZtIXsC35CRMJuDjNrZvGEH3eaB9Ph+8Xi8EQYDD4YAoirBYLDm3TSQSK84VTURERESv+0J8fvT5A9YdaBG2GFzN+lRwgK6rqyv6VwR+v7/ogoiIiIgot4VLd3+CNw8apuAALYoiZFmG3W7Xbe7mRCKBsbExXY5FREREVOtGTyl49sx5bNlYhwNv5dLdRik4QAuCgGAwiHvvvVfXApqbm3U9HhEREVGt+nx0fvT5w2+5Ads3696JSwUq+CbC9vb2Vc3zvJLW1lbdj0lERERUay7PzGFwbH7pbrZvGKvgjy6HDx8uSQHFrFxIREREtF79+zOvYvLCFVy3vQH2PTuMLmdd47qPRERERFVAu3nwY1y623BlbZ7RFlmxWCxobGws56mJiIiIqtbUhcv4fz97BQCX7q4Eugbo+++/H4899lje9yORCABAURQkEgns3r0bn/70p/UsgYiIiKjmhH78Ei7PzuEt12/H7TdyENJougZoSZKWfb+npyfr+fHjx/Hoo48yRBMREREtQ2vfuIdLd1cEXRtoVFUtavt9+/YhkUjoWQIRERFRTZEnz+M74/NLd3/MdpPR5RB0DtCr+UQky7KeJRARERHVlC/E5qeu69y9AzeZuXR3JdA1QCeTyYK2S6fTGBsbw913363n6YmIiIhqypXZOfzD6PMAOPdzJVlVD3RXVxdkWYYsy0ilUlnv1dfXF3wcURQzNxYSERERUbZ/GD2FiamLuG57A5xv49LdlWJVAXpoaCjzZ0mS4PP5MDw8DJPJhM7OzoKO4XA44Ha7YTabV1MCERERUU2bnpnFn0nPAgAO3bkbWzdx6e5KsebvhN1uh91uh8fjwcjICI4dO6ZHXURERETr2uM/eB6nlEu4ybwZnnfeanQ5tIBuH2UCgQB2796t1+EKoigKvF4vBEGAz+db1TEkSUIkEoHVaoWiKACA3t7eJdu5XC5YLBZ4PB7YbDYoioJoNIpAIIC+vj7YbLa1fClEREREGRevzOIvhk8AAB7s3IPNGwtvkaXS0/V3AV6vV8/DLXseWZbR0dEBSZJgt9tXdZxwOIzBwUGEQqHMa5IkweFwLOnNVhQF4XAYwWAw85ogCAiFQgzPREREpKvDT0/gpfQ0bhG24A/e3mJ0ObSISS128uYK09bWhvb2dgQCgaL2UxQFra2tGB8fhyAIS47p8Xjgdrszr3m9XjgcDsTjcQDzN0A6nc6Cz5dOp2E2m5FKpbiMOREREeV1fnoG1v5hvPraZQRdb8O972D7RrkUmtfWbTf60NAQRFFcEp4BoLu7G4FAICtAA6/3exMRERGVyv/67gRefe0yxOat+A/tHH2uRLrOA11NQqEQLBZLzvdEUUQ8Hs/0RBMRERGVQ/rSFfzlN08CAP7EsRcb69dtVKto6/a7Eo1GIYpizve017lKIhEREZXT3357HMkLV3Dbzm34uI0Lp1SqddvCoShKzvaNhWRZzrpBUJZlSJKUeZ5IJNDX17ficYiIiIhWoly8gr96KgEAeOiu21BfZzK4Ispn3Qbo5WiBeOHS5LIsIx6PZ/VFx+NxtLW1IRaLMUQTERHRmvzVUwmkLs3gLddvR9ftNxpdDi2DAbpAC6e609hsNthsNvT09OR8P5d0Op31vKGhAQ0NDbrUSERERNVp8vxl/O23xwEAD999G+o4+lwW09PTmJ6ezjxfnNPyWbc90MvRbh7Md5PhQg6HA+FwuOBjt7S0wGw2Zx79/f2rLZOIiIhqxF9+M4Fz0zPYd1MjPvyW640uZ93o7+/PymUtLYXNesIR6DXSQnY8Hi9oQZVTp05lzSvI0WciIqL17ZVz0/hf35kffX7k7jfAZOLoc7n09fXhgQceyDxPp9MFheh1G6BFUcw7y4bW+6zNxuHxePIuF56rX3o5jY2NXEiFiIiIMnzfOIkLV2bx9hYBv/HGa40uZ11ZbSvtum3hsNlseed51oK1NqI8NDSUN2xrr7e3t+tfJBEREdW006lLOPy9CQDAIx+8jaPPVWLdBmiHw5E3FCcSiawVB91ud96bBCORSN4VDYmIiIiW8xfDJ3BpZg7v2dWEu/buNLocKpDhAXrPnj0lPb6iKFlzN2u6urqQTCZzhuhwOAyPx5N53tHRgXg8nvPY4XA4Z2sHERER0XKen7qAx3/wPADgMx9k73M1MTxAT05Orml/RVGW7T92uVxwOBwIBoNZrwuCgCNHjsDr9Wa9Hg6HIYoinE5n5jWn04lAILAkRHd2dsLtdmdtS0RERFSIP5NO4PLsHD5gbcYHdu8wuhwqgu43EabTaQSDQUQikRVvrJNlGalUquhz+P1+jI6OQpblzMPhcEAQBHR3d2cFWofDgWg0mrNH2el0QhAEeL1eWK3WTE90JBJZsm0gEIDf78fg4GAmtPf19TE8ExERUdHkyfP4h9FTAOZHn6m6mFRVVfU6WCqVQmtra96b83IWYDJhdnZWrxIqVjqdhtlsRiqV4iwcRERE69wffHkM/xA9hbtv24l/63mn0eXQVYXmNV1bOHp6etDe3o5YLIa5ubkVH8lkkjffERER0bry7JnX8PnY/OjzI3ffZnA1tBq6tnDIsoxoNFrw9oIgoKmpSc8SiIiIiCraZ449izkV+K03XYe338IcVI10HYFezVzI+aaHIyIiIqo1P3v5HP5p7EUAwMMcfa5augbo1Ywm79u3T88SiIiIiCrWI8eegaoC+996PfbdZDa6HFolXQO0xWLBxMREUfuMjIzoWQIRERFRRRp7MYXwj1+CyQQ8fBdHn6uZrgH64MGDGBgYQDqdLnifhQuWEBEREdWqh489AwDovv1GvOUGzshVzXSfB/rw4cPo6+sDMD8HsyiKsFgsObdNJBIrzhVNREREVO1Gn1fw/372CupMwEMcfa56ugbourq6rGUo/X6/nocnIiIiqkra6PMnbDfjtmuvMbgaWitdA7QoipBlGXa7vaD5nROJBMbGxvQsgYiIiKiiPD2RxL/98lXU15nw3x17jS6HdKBrgBYEAeFwGPv37y94n+bmZj1LICIiIqoof/L1+dHn3+togXXHNoOrIT3oPg+0KIpF7dPa2qpnCUREREQV46nEWQyfOIuN9Sb8t849RpdDOtF1BPrw4cNF71PMyoVERERE1UJVVfzJv8+PPt/7jltxq2WrwRWRXnSfhWOxdDoNWZaRTCYhiiJ27dpV6lMSERERGU46cRbfHk+iYUMdHuzcbXQ5pCNdWzgWGhsbQ0dHB5qamtDW1gaHwwGr1Yq9e/fiK1/5SqlOS0RERGS4+dHnXwIAPO+6FTeZtxhcEempJAH6vvvug81mQywWg9lsRmtrK1pbW2E2m3Hy5Ek4nU585CMfKcWpiYiIiAz3r794FT94XsGWjXU49AGOPtca3QN0X18fotEoIpEI5ubmkEwmcfLkSZw8eRLJZBJTU1N47LHHEI1G8alPfUrv0xMREREZSlVVPHR15o3/+J5WXN+42eCKSG+6Bujjx48jEokgGo2is7Mz5zZmsxlutzsTqjkPNBEREdWSr/70ZcRfTOGahnr0fsBqdDlUAroG6GAwiOHh4YK3HxoaQn9/v54lEBERERlmbk7NrDr4R78iYse2BoMrolLQNUCrqgqz2Vzw9oIgYGpqSs8SiIiIiAwT/vFL+MlL52DevAH/3/uKWxuDqoeuAbqpqanofYpdeIWIiIioEs3OqXjk6ujzf/lVK5q2bjK4IioVXQO0oihF78MRaCIiIqoF/3T8Rfzi1dfQtGUj/vOvcqXlWqZ7C8dzzz1X8PZjY2OrGrUmIiIiqiQzs3P4TORZAMCn329F4+aNBldEpaTrSoS9vb2w2+2Ix+PYvn37stuOj4+js7MTsVhMzxKIiIiIyu7zsRdw8ux57Ny2Cf/pVzj6XOt0HYEWRRH9/f3YtWsXHnzwQYyNjSGdTmfeT6fTGBkZQXd3N3bv3o2BgQEu7U1ERERV7fLMHP706uhz7wd245oGXccnqQLp/h12Op1IJpO477774PP5cm6jqip8Ph96enr0Pj0RERFRWf2fHz6P56Yu4vrtDbj/3bcaXQ6VQUmW8na73Ugmk7j33nthNpuhqmrmceDAASQSCRw8eLAUpyYiIiIqm0tXZvHnwycAAH2de7B1E0ef1wOTqqpqOU6USqWKmiO61qTTaZjNZqRSKTQ2NhpdDhEREengf35nHH/81Z/iZvNmPHvoTmzeWG90SbQGhea1koxA55IvPC/skSYiIiKqFhcuz6D/6ujzf7XvYXheR8oWoPNpa2szugQiIiKioj32vefw8rlp7Gragt/vuMXocqiMdG3UKXY0OZFIIJlM6lkCERERUcm9Nj0D3zdOAgD+u2MvNm0wfEySyqjoAN3V1YWjR48iGAzik5/8ZNZ7giDAZDLpVhwRERFRJfqf3xnH2fOXsXvHNtzTdrPR5VCZFR2gY7EYVFVFNBpdEqBFUUQymYTdbofFYln2OMlkEolEAmNjY8WWQERERGSY1MUrePSbCQDAnzj2YkM9R5/Xm6IDtCRJCIfDcLvdS94TRRF+vx/79+8v+HjNzc3FlkBERERkmL/5toypi1fwxmuvwUf33WR0OWSAogN0a2tr3jmcHQ4HRFEs+nhERERE1SB54TL++lsyAOChu25DfR1bV9cjXW8iXM3iKNFodNXnUxQFXq8XgiDkXfVwJZIkIRKJwGq1QlEUAEBvb29B+/r9fthsNtjt9lWdm4iIiKrLZ59KIH1pBm+7oRHOt91gdDlkkKpcLsfr9UKWZXR0dECSpFUH2HA4jMHBQYRCocxrkiTB4XAgEoksu68W3hfuS0RERLXrzGvT+B/fHgcAPHz3XtRx9HndKmuAnpiYAABYLJY1rca3cLR5cHBwVcdQFAU9PT0YHx/Pet1ut8Pr9SIYDObs89YEg8FVnZeIiIiq019+M4Hzl2fRdrMZH3rz9UaXQwbS9bbR+++/f9n3I5EIIpEIAoEA7rvvPjz66KN6nr4oQ0NDEEURgiAsea+7uxuBQCDvvmsZ9SYiIqLq83L6Ev73d+cH3R65+zZO27vO6ToCLUnSsu/39PRkPT9+/DgeffRRfPrTn9azjIKEQqG8U+2Jooh4PA5FUXIG7Hg8XnCfNBEREVW/gW+cxMUrc3jnrU34tTdca3Q5ZDBdR6BVVS1q+3379iGRSOhZQsGi0WjeGUO012VZXvJeMBhkeCYiIlpHXlAuIvD0cwCAz3D0maBzgF7NX6hcIbUc8o0uL7S4NlmWV1wghoiIiGrLXwyfwPTMHN7bakHnnh1Gl0MVQNcWjmQyWdB26XQasizD6/XqeXrdaMF68dcTDofXPPqcTqeznjc0NKChoWFNxyQiIqLSeC55AZ/74fMAgM98kKPPtWZ6ehrT09OZ54tzWj6rGoHu6upCe3s7LBYL6uvrMw9FUbKe53s0NTWhra0Nsiwve7NeJQmHw3A6nWs+TktLC8xmc+bR39+vQ3VERERUCn8qncCVWRWde3bgfVaOPtea/v7+rFzW0tJS0H6rGoEeGhrK/FmSJPh8PgwPD8NkMqGzs7OgYzgcDrjdbpjN5tWUUFLagipau4aiKEgmk0WvspjLqVOnsqbw4+gzERFRZTp59jz+MXoKwHzvM9Wevr4+PPDAA5nn6XS6oBC95hYOu90Ou90Oj8eDkZERHDt2bK2HrDh63jjY2Ni4pjmwiYiIqDz+NPIsZudU/NobrsW7dvEeqFq02lZa3W4iDAQCRc/CYSRRFPPewKj1PmvT2dlstnKWRkRERAb75avn8MX4CwDm530mWkjXmwgLuSlwfHwcqVQKgiBg165dep6+KDabLdOqsZgWrG02W2a578W92tq+/f39GBwchMViqZp+biIiIlreZ449izkV+NCbr0N7i2B0OVRhdA3QixdKyUVRFMiyjGQyiXg8Dq/Xa0iQdjgcWUuCL5RIJDIrDTqdzpw3DyqKgqamJvT19elycyERERFVhp++lMbgj04DAB65+w0GV0OVSNd5oAuxb98+HDhwAD09PXjsscdKPpWdoig5V0js6upCMpnM2cYRDofh8XhKWhcRERFVpoePPQNVBVxvuwFvu5H3LdFSZQ/QCz355JNrXkhFmyEjH5fLBYfDgWAwmPW6IAg4cuTIkgAfDochiuKKo8pa3YXOfU1ERESV7/iLKTz5k5dhMgEP3cXeZ8pN1xYOzeOPP45AIABZlvP2GWtW0zfs9/sxOjoKWZYzD4fDAUEQ0N3dnRV+HQ4HotEo2tvblxzH6XRCEAR4vV5YrdZMrZFIJO+54/E4+vv7MwHa6/UiEolkpuUjIiKi6vXQvz8DAPjoHTfhTddvN7gaqlQmVeepM+6///5MKBZFEYIgQJblzBzKWg+0zWbDgw8+iP379+t5+oqVTqdhNpuRSqU4jR0REVEF+sFzU3jX//wO6kzAz3s/gL07rzG6JCqzQvOariPQx48fx+DgIEKhEA4cOJB5/dChQxgYGMja9ujRo2tu3yAiIiLSy0Nfnx99/t22FoZnWpauPdADAwMYHh7OCs8Acq4bf+DAAezbtw9PPvmkniUQERERFe0745M49uwZbKgz4b879hpdDlU4XQN0U1MT9u3bt+T1fCPNnZ2dGB0d1bMEIiIioqL9ydXe599/ewtam7caXA1VOt0DdC7t7e0YGRnR81REREREuvjGybP4ZmISm+rr8N/sHH2mlekaoPPdj+h0OvMuWrLSLB1EREREpaKqKv7k338JAOh55y1oEbYYXBFVA10DdEdHR2akeWRkBI8++igAoLW1FYlEAp/97Gezth8fH0c0GtWzBCIiIqKCHXv2DL47MYXNG+rwYOceo8uhKqHrLBwHDhzAoUOHoCgK7r33XqRSKYiiiP3792NgYABdXV2IRCJwOp1QFAX9/f2cO5mIiIgMMT/6PN/7fP+7d+GGxs0GV0TVQvd5oIH5KeoikQiSySQef/zxzDx6Ho8HR44cgclkgqqqEAQBExMT62JeZM4DTUREVFm+9rOX8aG/H8XWjfWQH+zEtdsbjC6JDFZoXitJgF6OJEkIh8OwWq1wu90wm83lPL1hGKCJiIgqx9yciva/+RbGTqfR+4HdGPiNNxpdElUAQxZSKYTdbofdbi/3aYmIiIgyvvLTlzB2Oo3tDRtw8P1Wo8uhKqPrTYSadDqNJ598EhMTEznfv//++/O+R0RERFRKs3MqHv76swCAP35vK5q3bTK4Iqo2ugfoo0ePwul0wuVyob29Pec2AwMDOHz4MFchJCIiorIb+tFp/OyVcxC2bMQD7+PoMxVP1wA9Pj4OWZYRCoXQ2NgIp9OZczuz2YyBgQEkEgmORBMREVHZzMzO4ZFj8zNvPPA+EcKWjQZXRNVI1x5ov9+Pxx57DAAwNTW14vYHDx7E/fffn9mHiIiIqJS+dPxFPHvmPJq3bsQf/4podDlUpcqyEqHe+xAREREV68rsHD4Tme99PviB3di+uexzKVCN0DVAm0ymovcpZKSaiIiIaK3+MXoK8uQFXHvNJvzHd+8yuhyqYroGaFmWy7IPERERUTGmZ2bxZ5ETAIBDd+7BtgaOPtPq6RqgW1tb8ZWvfKXg7fv6+tDW1qZnCURERERLfO4Hp/C8chE3Nm6G5123Gl0OVTldP3719vZmpq778Ic/vOy2hw4dwpEjRzA+Pq5nCURERERZLl6ZxV8Mz48+93XuxpaN9QZXRNVO1wAtiiIGBgZw4MABtLe3o6urC6IoQhRFJJNJKIqC0dFRBINBKIqCoaEhLmtNREREJRV4+jmcTl9Ci7AZ977jFqPLoRqgewOQ2+2GxWKB2+2G1+td8r6qqhAEAceOHUNnZ6fepyciIiLKOD89g4GR+dHn/2bfi4YNHH2mtStJB73T6YTD4UAgEMDQ0BAURQEwP0LtcDhw8ODBUpyWiIiIKMv//t4EXn3tMsTmrfi9jhajy6EaYVI5EXNZpNNpmM1mpFIptq0QERGVwblLMxD/QsLkhSv4++478B8YoGkFheY1XWfhICIiIqoU/+M7MiYvXMHendvwcdtNRpdDNcTwAP34448bXQIRERHVGOXiFXz2qfm1Jh666zZsqDc88lANMfxvk8/nM7oEIiIiqjF//S0ZysUrePN129F1+41Gl0M1ZlU3EabT6Zx9IWNjYwUfI5lMQpZlrkRIREREupo8fxl/8y1t9Hkv6utMBldEtaaoAH3kyBHcd999MJlMiEajuOOOO7Let9lsMJkK/0uqqmpR2xMRERGt5NGnEjg3PYPbb2zE/rfeYHQ5VIMKDtCpVAqxWAy7du3C+Pg4BEFYso0gCBBFEd3d3QUd8+TJk+yBJiIiIt28em4a//Pb86scP3L3bajj6DOVQMEBOhQKwev14vDhw0ilUjCbzUu2sVgsePzxx5eMTK90XCIiIiI9+L5xEheuzKKjRcBvvek6o8uhGlXwTYRTU1NobW0FgJzhGZhfKCXXyPRyurq6itqeiIiIKJfTqUt47HsTAOZHn9kmSqVScIAWBAETExMrblOsw4cPF70PERER0WL9IydwaWYO797VhLtv22l0OVTDCg7Q7e3tkCRJ9wKKmbmDiIiIKJdTykUc+f7zAIDP3P0Gjj5TSRUcoPft24fDhw/j3Llzuhbgcrl0PR4RERGtP38uncDl2Tm839qMO/fsMLocqnFFTWPndruxa9cuPP744+js7FwyF7TJZCrqE18qlUIymSymhCyKosDr9UIQhFUvyCJJEiKRCKxWKxRFAQD09vbmPFcwGMTk5GTmeTKZRF9fH2w226q/BiIiIlqb8ckL+D8/vDr6/MHbDK6G1oOiA3QikcCBAwdgMpmW9DwrioJwOKxnfTl5vV7IsoyOjg5IkgS73b6q44TDYQwODmbNBCJJEhwOByKRSOY1RVHQ39+Pvr6+rK85HA6jra0NkUhk1TUQERHR2vyp9Cxm5lTctXcnfqW12ehyaB0wqaqqFruTJEkIhUIYHx/Pej0ajUIURVgsloKOk0gkMDExgdnZ2WJLyGhra0N7ezsCgUBR+ymKgtbW1pxzWre1tcHj8cDtdgMAgsEgvF4vYrEYRFHM2rapqQmiKCIWiy17vnQ6DbPZjFQqlXMVRyIiIireiTOv4U1/+U3Mzql4+j/9Ct5xa5PRJVEVKzSvrWopb7vdnnPEtaurC36/H7t27Sr4WM3NxnxSHBoayjvtXnd3NwKBQCZAa6FZa/EgIiKiyvCZyLOYnVPxG2+8luGZymZVAVpPTU3G/GUPhUJ5R8pFUUQ8HoeiKBAEAXa7HVNTUzm3VRQF7e3tpSyViIiIcvj5y+fwpeMvApif95moXAqehaMQHo+n4PYNzcmTJ/UsoWBau0ku2uuyLC97DL/fD2C+J5uIiIjK65Fjz0BVgQ+/5XrYbhaMLofWEV0DdK6ZOVaSTqf1LKFg2ujycpYL0IqiIBAIIBQK5Q3iREREVBo/Op1C6McvwWQCHuboM5WZ4S0cbW1tOHHihNFlZNGC9eIp9rSp7BKJBJLJJCKRSNHhefEHhoaGBjQ0NKypXiIiovXmkWPPAgC6br8Rb72BN+fT6kxPT2N6ejrzvNCBXV0DdLGjyVoQrRaCIGTmiJYkCR6PBx6PB06ns+BjtLS0ZD1/6KGH8PDDD+tZJhERUU2LvaDgqz99GXUm4KG79hpdDlWx/v5+PPLII0XvV3SA7urqwtGjRxEMBvHJT34y6z1BEGpi6Uxtto3l+rntdjva29vR1NSUNWPHSk6dOpXV5sLRZyIiouI89O/PAAA+brsZb7h2u8HVUDXr6+vDAw88kHmeTqeXDHbmUnSAjsViUFUV0Wh0SYAWRRHJZBJ2u33FmwmTySQSiQTGxsaKLaFiCIIAp9MJj8eDrq6uFXuqAaCxsZHzQBMREa3S0xNJ/OsvX0V9nQn/3cHRZ1qb1bbSFh2gJUlCOBzOOeIqiiL8fj/2799f8PGMmgdaFMW8NwlqbSWF9Dd3dHQgHA5DkqSiWjmIiIioeA99fX70+Xfbb8buHdsMrobWq6Jn4WhtbcXBgwdhNpuXvOdwOIq+qa61tbXYEnRhs9nyLoyiBWubzQZgfq5ql8uVc1tt1HmlKe+IiIhobb6VmIR04iw21pvw3+0cfSbj6DqN3cGDB3HHHXcUtU80GtWzhII5HI68oTeRSGRWWlQUZdkVCBOJBIDCRquJiIhodVRVxZ98/ZcAgD94+y3YZdlqcEW0nukaoCuRoiiQJGnJ611dXUgmkzlDdDgchsfjATA/wux2uxEKhXIeX5KkTC80ERERlcb//dnL+JacRMOGOvzXzj1Gl0PrnOEBes+etf1PoCjKslPhuVwuOBwOBIPBrNcFQcCRI0eWrCIYDochimJWIPZ6vfB4PEtGooPBIOLxOIaHh9f0NRAREVF+X/vZy/jIE3EAwP3v3oWbhS0GV0TrneELqUxOTha9j9/vx+joKGRZzjwcDgcEQUB3d3dW+HU4HIhGo2hvb19yHKfTCUEQ4PV6YbVaMwE5EolkbSeKIgKBQCZsa6HdYrFgamqqoNk3iIiIqHiDYy/ini8dx8yciv1vvR79v/4Go0sigklVVVXPA6bTaQSDQUQikRUXSZFlGYqiYHZ2Vs8SKlI6nYbZbEYqleI0dkRERAX4+x8+j57QjzCnAp+w3YT/030HNtQb/stzqmGF5jVdR6BTqRRaW1uXvelusVpYeIWIiIj09b+/O47/9JWfAgB63nkLHtv/NtTVMTNQZdD1Y1xPTw/a29sRi8UwNze34iOZTLL9gYiIiLL4v3EyE57/+L2tOHyA4Zkqi64j0LIsFzUtnSAIaGpq0rMEIiIiqlKqquKhrz+DP5NOAAD+q30PPnP3bfxtNVUcXQN0rhv1VpJvejgiIiJaP1RVxae/9nP89bfmp5ft//U3wnvnboOrIspN1wC9mtHkffv26VkCERERVZm5ORWfevInCH7/OQDA//idt+APf8WYlYqJCqFrD7TFYsHExERR+4yMjOhZAhEREVWRmdk5/P7gGILffw51JuBzXbczPFPF030p74GBAaTT6YL30Vb8IyIiovXl8swcPvqFOJ6IvYANdSZ88eM2/P7bbzG6LKIV6b6QyuHDh9HX1wdgfhETURRhsVhybptIJFacK5qIiIhqz8Urs3D+YxT/9stXsam+DkO/24bffvP1RpdFVBBdA3RdXV3WnbJ+v1/PwxMREVENOHdpBh/6+x/im4lJbNlYh6/+/tvh2LvT6LKICqZrgBZFEbIsw263FzS/cyKRwNjYmJ4lEBERUQVTLl7Brz/+A3z/uSlsb9iAf/7k2/FesdnosoiKomuAFgQB4XAY+/fvL3if5mb+T0NERLQenHltGncHv4+x02k0bdmIf+95JzpuEYwui6hous8DLYpiUfu0tvJOWyIiolp3OnUJdwWfxs9feQ3XXrMJx9zvwttubDS6LKJVMamqqhpdxHqQTqdhNpuRSqXQ2MgfGEREtH48l7wAe+BpJCYv4CbzZkied+G2a68xuiyiJQrNa7pNY/eXf/mX2LNnz6r2TafTePzxx9HX14fPfe5zepVEREREBjtx5jX86t99F4nJC2i1bMW3PvUehmeqerq1cCQSCfT29ha93/DwMO666y6oqpq5CTEQCOCHP/yhXqURERGRAX76UhqO4PfxyrlpvOHaaxDxvBM3mbcYXRbRmuk2Ai0IAnp6eoraJ5VKweFwwGazYWpqCidPnsTc3Bz27duHu+++W6/SiIiIqMxiLyj4wGPfwyvnpnH7jY345v3vZnimmqFbgG5ubs4s4z0yMoK+vj709fXhK1/5St59gsEgAODIkSMwm82Z1wOBAMxmc9HLghMREZHxvjueROfhpzF54QrecYuAkfvehWu3NxhdFpFudL2J8P7774csy5AkCdphTSYTmpqaMDw8jNtvvz1r+66uLoyPj2N0dHTJscbHx+H3+/HYY4/pVZ6heBMhERGtB8MnzuBD/2cUF67M4ldFC772B+/A9s26L3xMVBKF5jVd/0aPjo5CURQcPHgQVqsVFosFsizj2LFjsNlsUBQF27dvz2wvSRIcDkfOY7W2toIThBAREVWPf/75K3B9PorpmTncfdtOHP0P7di6ieGZao9uf6uPHj2K9vZ2HD58eMl7Bw8eRDgcRm9vb9aIsqIoy84bvXBZcCIiIqpcoR+dxse/GMfMnIrfecv1+KdP2NCwod7osohKQrce6Gg0mjM8a5xOZ1afs4YrERIREVW3fxw9hY9+IYaZORUf23cTBu9pY3immqbbCHQh7RYcUSYiIqotf/fdCfzhV34CAPjkO27B4QNvQ30d/72n2laSWTjymZqa0ut0REREZLBHv5nIhOc/em8rgk6GZ1ofdAvQTqcTbW1tOaetGxsbQ0dHB9rb2zOvjY+PA5hfgCWXkZGRnC0fREREZCxVVfHw159B7z//HADQ17kbf/3bb+Zvmmnd0K2Fo7W1Ff39/Thw4ABMJlPm5kBZlgEgE4bT6TSi0Sh6e3szKw+eO3cua3YOAPB6vRgeHtarPCIiItKBqqro/edf4LNPzQ+A/dmvvQEPdu4xuCqi8tJtBBoA3G43jh07hjvuuAOJRAKJRAJmsxkHDx5EMplEa2srent7cfjwYXR3dyMWi+HgwYOw2Wz4xje+ASB7tJrzJRMREVWOuTkV//HJn2TC819/6M0Mz7Qu6bqQymKpVKqgNgy/349Dhw5lfvVz4MABDA0NlaosQ3AhFSIiqmYzs3O4d+hH+HzsBZhMQNB5Oz75jluMLotIV4XmtZIG6FwmJiagKAoEQcCuXbsyr6dSKUSjUVgsFuzbt6+cJZUFAzQREVWryzNzuOdLcYR+/BLq60z4/Ef34aP7bjK6LCLdGbISYSGmpqYgyzKSySTi8Ti8Xi927doFs9mMzs7OcpdDREREy7h0ZRauz0fxL794FZvq6zB4Txs+9JbrjS6LyFBlD9D79u3LGmHu7u7G4OBgucsgIiKiFbw2PYPf+ftRjJw8iy0b6/Dk73Xg7tuuNbosIsMZukD9k08+mZmlg4iIiCqHcvEKfvNzP8D3JqZwTUM9/vkP3oFftXL1YCKgRAH68ccfRyAQgCzLUBRl2W0DgUApSiAiIqJVOnt+Gh8M/gDxF1MQtmzEv/e8A2+/pcnosogqhu4B+v7778+EYlEU0draClmWM/NCK4oCWZZhs9nw4IMPYv/+/XqXQERERKv0UvoS7gp8Hz975Rx2btuEY5534vYbubAZ0UK6Bujjx49jcHAQoVAIBw4cyLx+6NAhDAwMZG179OhRtm8QERFVkOenLsAe+D5Onj2PGxs3Q7rvnXjDtdtX3pFondE1QA8MDGB4eHjJNHS5lvY8cOAAhoeH8eSTT656FFpRFHi9XgiCAJ/Pt6pjSJKESCQCq9WaaTfp7e3NuW0wGEQikUA8HkcymYTdbl/1eYmIiCrJybPnYT/8NJ5XLmJX0xZI970LYvM2o8siqki6BuimpqacczjnG2nu7OxEX19f0QHa6/VClmV0dHRAkiTY7fZV1RsOhzMj5hpJkuBwOBCJRJac0+PxwO12A5gP7y6XC01NTRgfH4cgCKuqgYiIyGg/e/kcHIGn8fK5aezduQ2S5124WdhidFlEFUvXpbybmnLfYNDe3o6RkRHdzuPz+RAKhdDb27vq4KooCnp6enDkyJGs1+12O5LJJILBYOa1cDiM7u7uTB83AAiCgFAolAnSRERE1Sj+goL3/9138fK5abz1hu146lPvYXgmWoGuATrfooZOpzNvq8NKs3SUytDQEERRzBnAu7u7s2YHGR0dhc1mW7KdIAhwu92QJMmwr4OIiGi1np5IovPw05i8cAUdLQK+cf+7cd32BqPLIqp4ugbojo6OzEjzyMgIHn30UQBAa2srEokEPvvZz2ZtPz4+jmg0qmcJBQuFQrBYLDnfE0UR8Xg8E4qDwSAcDkfObdva2gDAsK+DiIhoNb5x8izuCn4fqUszeG+rBRHPO2HZusnosoiqgq490AcOHMChQ4egKAruvfdepFIpiKKI/fv3Y2BgAF1dXYhEInA6nVAUBf39/Zme4nKLRqPo6urK+Z7WqqFNt9fe3p73OFrIzhfGiYiIKs2//uIVOP8xikszc7hr7048+Xvt2LrJ0LXViKqK7v+3DAwM4OjRo+jq6srMVAHMt3FoPceRSASqqkIQBPT19eldQkEURVmxf1oL0ItvKFwokUgAQM4WDyIiokpz9Men8bEvxnFlVsWH3nwdvnxPGxo21BtdFlFVKcnHzQMHDmTNA60JBAJwuVwIh8OwWq1wu91obGwsRQlrogXrZDK54rbBYLCoUfR0Op31vKGhAQ0N7DcjIqLSeyJ2Cr//5THMqcBH7rgR//jRfdhYr2s3J1FVmZ6exvT0dOb54pyWT9l/X2O321c97Vyl8Xq9EEWxqLmgW1pasp4/9NBDePjhh3WujIiIKNvh703gU0/+BADw+29vQdB5O+rrlq7TQLSe9Pf345FHHil6PzY85VBIX3M8HkcwGEQsFitqKr1Tp05ljbpz9JmIiErtr55K4NNf+zkA4A9/pRV/89tvRh3DMxH6+vrwwAMPZJ6n0+klg525FPx7m8cff3x1la3gySefLMlxS83lcmF4eDhrbuhCNDY2Zj0YoImIqFRUVcVnjj2bCc/eO3fjbz/E8EykaWhoWJLNClFwgPZ6vasuzojjrkQUxbwrJGq9z/nCscPhQCAQ4I2DRERUsVRVxaF/+QUePvYMAOBPP3gb+n/9jTCZGJ6J1qrgFo6pqSmcO3cO27dv17WAQm7UKwWbzZZ38RMtWOcKyB6PB16vt2b6uImIqPbMzan4o6/+FH/3vQkAwF/99pvxn3+1uN+YElF+RfVA79q1q+iWheXIsmzYCn4OhyPvzX+JRCJnQPb7/XC5XEvek2UZsiwzVBMRkeFm51T0DP0I/xA9BZMJeOzA2+B+561Gl0VUU4oK0FNTU4jFYroWUOpfJSmKgmg0uiTcdnV1wev1QpblJR8KwuHwknAdDodhs9lyhuR4PM52DiIiMtyV2Tnc86XjGPrRadTXmfAPH7kDH7fdbHRZRDWn4AB94MABpFIpeDweXUahk8kkYrHYmhdSURRl2TYQl8sFSZIQCASy5msWBAFHjhyB1+tFKBTKvB4OhyGKIpxOZ+a1eDyemcM6GAxmnRsABgcHdf9gQUREVIxLV2bR/UQMX/v5K9hYb8KXP9GGD7/1BqPLIqpJJlVV1UI3TqVSGBoagizLsFqtuPfee9dcwJ49e3DixImi9vH7/RgdHYUsy4jH4wDm55cWBAHd3d1Z4dfv96O/vx/Dw8M5R4klSUIkEoHVas0E4t7e3qxtmpqalm01EUUxsyJhPul0GmazGalUqiIXjyEioup1fnoGH/6HUUgnzmLzhjo8+Xsd+OAbrjW6LKKqU2heKypALzQ+Po5wOIxkMgmHw4E777xzVYW2t7cjGo2uat9qwgBNRESlkLp4Bb/5uR/guxNTuKahHl/7g7fjfdYdRpdFVJVKHqAXOn78OAYHB2EymdDd3Y077rhjrYesOQzQRESkt8nzl/FrR76P6AspCFs24l/vfQfeeWuT0WURVa2yBuiFjh49itHRUezYsQNut5th8SoGaCIi0tPL6Uu4K/h9/PTlc9ixbROOud+JO24yG10WUVUzLEBrtH7pRCKB3bt369IvXc0YoImISC+nlIuwH34aJ86exw2NDZA878Ibr9N3nQai9cjwAL2QXv3S1YwBmoiI9JA4ex72wNN4buoibm3aAsnzLlh3bDO6LKKaUFEBeqHjx49jaGgIAPCRj3wEt99+ezlPbxgGaCIiWovUxSv4u+9N4K+eSmDywhXs2bEN0n3vQouwxejSiGpGoXmtqIVU1iqdTmN4eBjhcBiyLMPv98Nms2F0dLScZRAREVWNV89N42++LePvvjeB9KUZAMDtNzbi3+59B65v3GxwdUTrU1kC9JNPPolAIABJkgAAqqrCZrPB4/Ggq6urHCUQERFVleeSF/DoUwl87gfP49LMHADgTdddA++du/GRO27Cxvo6gyskWr9KFqBHRkYQCAQQDocBzIdmQRDgdrvh8XjQ2tpaqlMTERFVrV+8cg6+kZP40vEXMTM332X59hYBfZ178Ftvug51dSaDKyQiXQP0xMQEAoEAgsEgFEWB1l7tdrvhcrnQ2dmp5+mIiIhqxujzCgZGTuCrP3sZ2t1JnXt2oO/OPfjA7maYTAzORJVizQE6nU4jGAwiEAhAluVMaLbb7fB4PDhw4MCaiyQiIqpFqqriGycnMTByAtKJs5nXP/yW63Hozj3ouEUwrjgiymvVATpfX3N3dzfcbjfMZk7mTkRElMvcnIqv/fwVDIycwA+eVwAA9XUmfHzfTej9wG686XrO6UxUyYoK0KXoa+7u7sbg4GDR+xEREVWbmdk5fHnsNHwjJ/GzV84BADZvqMMfvP0WfPr9VuyybDW4QiIqRMEBes+ePVktGnr0NadSqUwYJyIiqlUXr8zi7394Co9+8yQmpi4CABo3b8Cn3r0Lf/xeEddtbzC4QiIqRsEBOpFIoK2tDR6PBy6XK3MzQzqdXtWJk8kk3G73qvYlIiKqBulLV/DY957D33xbxivnpgEAO7dtwn/+VRGfevcumLdsNLhCIlqNolo4VFVFNBpFLBbLPF+tZDIJSZJ4VzEREdWcM69N42+/PY7//d1xpK4ufnKLsAWffr8Vf/D2FmzdVNZ1zIhIZwX/H2wymRCNRnU9eTgcRnd3t67HJCIiMsrzUxfw2adkPP6D53DxyvziJ2+49hp4P7AbH7Nx8ROiWlFwgC7FrBpOp3NNo9hERESV4JevnoN/JIEvxF/ILH7SfrMZfZ178KE3X8/FT4hqTMEBenh4uCQFaO0gRERE1Sb2goKB4ZN48qcvZRY/uXP3Dhy6czc69+xgmyJRjSo4QO/bt68kBZTquERERKWgqiqeSkxiYOQkjj17JvP6h958HQ7duQfvuLXJwOqIqBx4FwMREVEB5uZU/MsvXkH/yEl8/7kpAPOLn3zs6uInb+biJ0TrBgM0ERHRMmZm5zD4o/nFT3768vziJw3a4ifvs6K1mYufEK03DNBEREQ5XLoyi38YPYW//GYC48kLAIDtDRtw/7t34T+/txXXN242uEIiMgoDNBER0QLnLs3g8NMT+OtvyXj56uInO7Ztwh+/txX/8T2tELj4CdG6xwBNREQE4Ox5bfGTCSgXrwAAWoTN+PT7d+OTXPyEiBbgTwMiIlrXTikX8dmnEnj8+8/jwpVZAMBtO7fBe+cefGzfTdi0gYufEFE2BmgiIlqXnj3zGnzfOIkvxF7Aldn5SZzbbjbj0J278TtvuQH1XPyEiPJggCYionUl/oKCgZGTOPqT1xc/eb+1GYfu3A3H3p1c/ISIVsQATURENU9VVXxbTqJ/5AS+/szri5/81puuw6E7d+NduywGVkdE1YYBmoiIapaqqviXX7yKgZET+N7E/OIndSbgo1cXP3nrDY0GV0hE1YgBmoiIas7M7BxCP34JvpGT+PFLaQDzi5/8XkcLDr7fCrF5m8EVElE1Y4AmIqKaMT0zi3+MvgD/N05Cnpxf/OSahnrc965d+C+/KuIGLn5CRDpggCYioqp37tIMAt9/Dn/9rQReSs8vftK8dSP+6L0i/vA9u9C0dZPBFRJRLWGAJiKiqjV5/jL+x3fG8b++M46pq4uf3GzejP/v/Vbc+/ZbsK2B/8wRkf74k4WIiKqKqqr4+Suv4XM/fB5Hvv8czl+eX/xk785t6P3AbnzCdjMXPyGikqrqAK0oCrxeLwRBgM/nW9UxJElCJBKB1WqFoigAgN7e3pKek4iIivPquWlIJ84g8uwZRJ49i9PpS5n39t3UiEN37sH+t3LxEyIqj6oM0F6vF7Iso6OjA5IkwW63r+o44XAYg4ODCIVCmdckSYLD4UAkEinJOYmIaGWXrsziO+PJq4H5DMZOp7Pe37yhDh/YvQN/9N5W3MXFT4iozEyqqq3DVJ3a2trQ3t6OQCBQ1H6KoqC1tRXj4+MQBGHJMT0eD9xut27nTKfTMJvNSKVSaGzkvKNERAupqoqfvnwOx545A+nEGTyVmMSlmbmsbe64sRGOvTtx12078Z5dFmzeWG9QtURUqwrNa1U5Aq2HoaEhiKK4JDwDQHd3NwKBQN4ATUREa/dy+hIiJ85AevYsIs+ewcvnprPev7FxMxx7d8Cxdyfse3bi2u0NBlVKRJRt3QboUCgEiyX30q2iKCIej0NRlJwBm4iIinfxyiy+LU/i2LPzoVlb4ESzZWMd3m+dD8yOvTvxpuuuYWsGEVWkdRugo9Eourq6cr4niiIAQJZl2Gy2cpZFRFQz5uZU/PildKaP+dvjSUwvasuw3WSG47aduGvvTrx7VxMaNrAtg4gq37oN0IWMLjNAExEV53TqEiLPnsnMmPHqa5ez3r/ZvBmO23bCsWcnOvfswM5r2JZBRNVn3Qbo5WjBOplM6n7sdDr7V5YNDQ1oaOA/IERUnS5cnsG35CSOPXsGkWfO4GevnMt6f9umerzf2py5+e+2nWzLIKLKMT09jenp1++/WJzT8mGALrOWlpas5w899BAefvhhY4ohIirS3JyKsdOpTB/zd8aTuDz7eluGyQS03yzAvncH7tq7E++61cJFTYioYvX39+ORRx4pej8G6By0BVXy3WS4FqdOncqaFoWjz0RU6V5QLmb6mKUTZ3H2fHZbxi3Clqy2jOZtmwyqlIioOH19fXjggQcyz9Pp9JLBzlwYoMussbGR80ATUUV7bXoGTyUmETkx35bxi1dfy3r/moZ6fODqbBl33bYTe3ZsY1sGEVWl1bbSrtsALYoiZFnO+Z7W+6zNxkFEVMtm51QcfzGV6WP+3nNJXJl9fY2tOhPQ0SLAvnd+tox33tqEjfVsyyCi9WvdBmibzZZp1VhMC9acgYOIatXzUxcyfczSiTNIXriS9f6upi2Z6eXu3L0DTVvZlkFEpFm3AdrhcMDn8+V8L5FIwG63l7kiIqLSOXdpBt9MnL0ams/gmTPns95v3LwBd+7eAfue+bYMa/NWtmUQEeVR8wFaURREo9ElgbirqwterxeyLC9p1QiHw3nDNRFRNZidUxE9pWT6mJ9+bgozc9ltGe+4pSmz6t/bbxHYlkFEVKCqD9CKoiw7X7PL5YIkSQgEAnC73ZnXBUHAkSNH4PV6EQqFMq+Hw2GIogin07nqcxIRGWEieSHTxzxy8iymLma3ZVibt2b6mD+weweELRsNqpSIqLpVZYD2+/0YHR2FLMuZh8PhgCAI6O7uzgq/DocD0WgU7e3tS47jdDohCAK8Xi+sVmumJzoSiazpnEREpXbh8gzkyQt45sxrGDk5icizZ3DybHZbhnnzBnTumW/LcOzdCeuObQZVS0RUW0yqqqorb0ZrlU6nYTabkUqlOI0dEa1IVVW8cm4acvICEpPnIU9euPo4j8TkBbx8bnrJPvV1JrzzFgGOvdfCsXcHOloEbGBbBhFRwQrNa1U5Ak1EVAumZ2YxkbyYCcVy8gLGtT9PXsCFK7PL7m/evAHW5m14x61NuGvvTrzf2gwz2zKIiEqOAZqIqERUVUXywhXIk1dHka+OJo9fff5C6hKW+x2gyQS0mLfA2rwVrc3bYG3eCrF5K0TLNlh3bEXTlo2cKYOIyAAM0EREazAzO4dTyqXXA/LZ8xhf0HaRujSz7P5bN9bDumMrRMtWiM3bIDZvhfXqf29t2oKGDfVl+kqIiKhQDNBERCtIX5ofRdYCspyc70WWJy/guamLWdPD5XJDY8N8KM4KyfN/vvaaTRxFJiKqMgzQRLTuzc2pOJ2+lBk1TkxemB9FvhqWz56/vOz+DRvq0GrZmmm1EC2vB+RWyxZs3cQftUREtYQ/1YloXbhweQbji27Yk68G5PHkBUzPzC27/45tmzKheL4P+fVWixsbN6OujqPIRETrBQM0EdUEVVXx6muXF4wiz9+sp92491J66bRvC22oM+HWpi2wNm9D64I+5Pm2i61o3MzZLYiIaB4DNBFVrJnZOZw9fxlnzl/Gmdcu49XXpq/+eRqvvnYZZ89PZ15/IXUJ5y8XNu2b2LyoF9myDS3CZs6ZTEREBWGAJqKyKSYQnzl/GckLV1Y+6AL5pn3TQjOnfSMiIj0wQBPRqpU6EAPzoXjH1k3Yec0m7NzWgGuv2YQd1zRg57ZNuPaahquvb8KN5s2c9o2IiMqCAZqIMiopEGt/tmzdhHreoEdERBWEAZqohjEQExER6Y8BmqhCqaqK6Zk5pC/N4Nz0DNLTM0hfuoJz07NIX7qS9fq56RmkL82/z0BMRERUWgzQRDq7MjuXCbQLg+256Vmkp69kvz49g9cWb3PpSiYUX5ldfoW7QjAQExER6YsBmgjA7JyK16azg+25qyO+2SPA838+d2lBQJ7OHhW+tMKCHKtxTUM9Ghs2YntDPRo3b0Tj5g3Y3rABjQ0bsF378+YNaGzYyEBMRERUYgzQVFVUVcWlmTlcvDJ79bHwz68/f+3y4hHgqyO9WSPDr4/0vja9/PzBq7F5Q918qN18Nfg2vB58t29+Pfw2NizYZvPG+de1QLx5A7Zt2sAATEREVEEYoGlNZmbnskPszOJQmzvgZv15ZhaXCtnuymxJRncX2lBnujqSuyjUbt6Aaxq017NHfJeMCl/970YuykFERFSTGKBr1Mvp+VXZFgfV5cKp9vzSwvdmlg+1M3Nr79Fdrfo6E7ZsrMOWDfXYsrF+/s8b5/+caXnICrsLR3Zzj/g2bKjjQhtERES0LAboGtX2N9/CS+npsp6zYUNddpDdkB1qtT9v3rg08GYH4dz7LX7OEV4iIiIyAgN0jbpm0wZs2zSTO4BuyA6nm3OE0yV/3pA7xGaOsaEedezTJSIionWAAbpGPXPoTqNLICIiIqpJ/B04EREREVERGKCJiIiIiIrAAE1EREREVAQGaCIiIiKiIjBAExEREREVgQGaiIiIiKgIDNBEREREREVggCYiIiIiKgIDNBERERFRERigiYiIiIiKwABNRERERFQEBmgiIiIioiIwQBMRERERFYEBmoiIiIioCAzQNWp6ehoPP/wwpqenjS5lXeF1NwavuzF43Y3B624MXndjVOp1N6mqqhpdxHqQTqdhNpuRSqXQ2NhYc+ejebzuxuB1NwavuzF43Y3B626MSs1PHIEmIiIiIioCAzQRERERURE2GF3AeqF1yqTT6bKcTztPuc5H83jdjcHrbgxed2PwuhuD190Y5b7u2nlW6nBmD3SZvPDCC2hpaTG6DCIiIiJawalTp3DzzTfnfZ8Bukzm5uZw+vRpbN++HSaTyehyiIiIiGgRVVVx7tw53Hjjjairy9/pzABNRERERFQE3kRIRERERFQEBmgiIiIioiJwFo4qpSgKvF4vBEGAz+fLuY3L5YLFYoHH44HNZoOiKIhGowgEAujr64PNZitz1dWvkOuukWUZXq8XAGCxWArah3Jb6brH43H09/fD5/NBFEUDKqxNhf59D4fDiEQiWa/5fD4IglDiCmtPoddckiSEQiEIggBFUfjzZY2CwSASiQTi8TiSySTsdnve6ylJEiKRCKxWKxRFAQD09vaWsdraUcx1B4r7N7jUGKCrjNfrhSzL6OjogCRJsNvtebdVFAXhcBjBYDDzmiAICIVCDM9FKua6A/OBor+/H6FQKBPotP/xjf6fvpoUet1lWUY4HEY4HF72eIlEggG7AMX8ffd6vXA4HAgEApnXZFlGZ2cnhoeHGaILVMw19/v9iEQiWR9a/H4/XC4XQqFQOcqtKV6vFx6PB263G8D8z2qXy4WmpiaMj49n/R0Oh8MYHBzMus6SJMHhcCz5EEnLK+a6F/tvcDnwJsIq1tbWhvb29qx/uBbS/mGLx+MAAFEU4XQ6y1liTVrpusfjcXR2di75AeByuRCPx5FIJMpUaW1Z7rp7vV4oigKr1Zpz38nJSQDgh5dVWO66x+NxDA4OLvtbAQa64q10zdva2nJ+GGxqasKRI0f4c74I4XAYoiguGVRSFAVNTU2w2+2ZYKwoClpbW5f8bAfmv2cLwyAtr5jrvthK/waXC0ega5zdbq+IT2rridfrRV9f35IfsA6HAx0dHcYUtQ4s98OUI/+lIUlS3r/TNpst8+Gd9NPf3w+bzZbzNyldXV0IBAIM0EUYHR3Neb0EQYDb7UYwGMy0yAwNDUEUxZy/Venu7kYgEGCALlAx171S8SZCIh3F43FIkpTzh6jb7WafXIks98EkGAzC4/GUsZr1Jd8HF1mW2S5TApIk5b2ubW1tkCSpzBVVt2AwCIfDkfO9trY2AEA0GgUAhEIhWCyWnNuKooh4PJ7piablFXPdKxUDNJGOAoFA3hEKKp18I26yLAMAg1yJOJ1OSJIEl8u1JDj4fL7MTbSkn+UCmhbuOPJfuPb29rzvaddau67RaDTvzxLtde1nDi2vmOteqdjCUeNkWc4akUgkEjnbC0gfC0eH/H4/gPlfSfG6G8Pn8xneJ1fLRFHMBGVtVgi73Z4ZXWL7mP4K+RkiyzJvFC/Qcjf+aferaNeykJYCXvvCFHPdKxUDdA2TZRnxeDyrnUC7ASUWizHMlYD2w9Pv92e1a8iyzOteZmzdKI/e3l6IogiXywWHwwFRFBGJRDjqXyLt7e15R6E5+qmvYDBYcE+z9nM9mUyWsKL1oZjrbiS2cNSwUCi05FfbNpsNNpsNPT09BlVV++Lx+JLrLooi7HY7r3sZcbrG8hEEAb29vbDb7ZBlOWv2H9KXNtqfy+joKACGOD14vd7Mb1iofKrpujNAr0MOh2PF+XJpbXKNvrW1tSEcDvMmkzIIBoMMz2WiTSHo8/kQiUQQCAQyv3HhDW36s9vtcLvdS/rLw+Fw5qasSu8drXTxeBzBYBCRSKTg3xhWS99uJVvNdTcSA/Q6xBtNSmulm0wq/c7iWhAIBPLe4U360RZpWvgbF7fbnZmjONfNhbR2gUAAVqsVwWAw87DZbJmf7dUQPiqZy+XC8PAw25DKrNquO3uga5TH48m71CV7tUqnkBk42KdYWlrvf7X8EK5mPp8v58JAoigiFouhtbUVkiRxXuISyNUjqo34LzfDAS1PW1Uz12+wRFHM+/Nb+/eUP3dWZ7nrXqk4Al2jhoaG8v6Prr3OH7L6s9lsKwZkXvfS0kIE/yErrZVmJBAEAX19ffzAWEaxWAw2m40j0Kvk8Xjg9Xrzzh5js9lWvIGzmgJgpVjpulcqBuga5Xa78y6hq90hzx+y+uvu7s7bGsM5icsjFosZXcK6IAhCQe0Z/PtePkNDQ5x5ZpX8fj9cLteSELdwKliHw5H3A2Eikai6AFgJCrnulYoBukZ1dHTkDHKKoiAcDlfFHa7VyOl0QhCEnDdphkIhuN1ufnApMVmWeY3LRBTFZf+Ri0QiDBU6C4fDaGpqyvm6xWKpium/Kk04HIbNZsv5d3VhO1hXVxeSyWTOEB0Oh/nhpUiFXvdKxR7oKqYoSt4+ZqfTCY/HA4/Hk/Urpc7OTrjdbvYkrsFy1x2YD8oejwd2uz0T5ILBIGRZzvtbAVrZStddw5YBfS133UOhEDo7O+Hz+bL+EVQUBV6vF16vlx9mVmG5a55MJpe0gcXjcXi93mUXp6Dc4vE4AoEAXC5X5qZY4PVZNQYHBzO/1RIEAUeOHIHX6836WR4OhyGKIv9dLUIx132xQv8tKDWTqqqq0UVQ4fx+P0ZHRzM3SgHIBLXu7u4l/wP7/X5MTk5m/sLl2oZWVux1lyQJgUAAFosFyWSyaua1rDTFXncAmZkfGCZWr9jrrk1lt5DP52N4LkIx13zxz3VRFLnS6So1NTUt24okiuKSG2UlSUIkEoHVas3su3DhLFpZsdd9Nf8WlBoDNBERERFREdgDTURERERUBAZoIiIiIqIiMEATERERERWBAZqIiIiIqAgM0ERERERERWCAJiIiIiIqAgM0EREREVERGKCJiIiIiIrAAE1ERHl5vV6jSyAiqjhciZCIaoYkSXC5XDnfs1gsWc+TyWTO7cbHx7kk8lWSJMHhcCASicButxe8XzweR2dn55KlegVByPl9EEUR7e3tcLlcRZ2HiMgoHIEmoppht9sxNTWF8fFxWCwWKIqSeS2RSGQ9pqamMDU1hVgshr6+PiiKAkVRIMvyiufRguVatbW1LQmZy53T5XLBarWira0NbW1tJR8dDgQCAIBQKFTUfjabDVNTU1BVFTabDQDQ29ub9/ugHd/hcMDhcBT0PSAiMhIDNBHVHEEQMsFNFMVltxVFEb29vYjFYgCQN7wpipIJsXqEPL/fj3g8nnckfCGXywWv14u+vj4kEgnEYjHEYjF0d3fnHXHXgyRJAIChoaFVH0O7/s3NzctuEwgEEAgEdPtwQkRUSgzQRESYHzV1Op1LAq2iKGhqakJbWxsikQj6+vrWfC5ZlgsePdZGqWOxWOZDgaanpwfhcLgkI7bhcBg+nw+CIEBRFITD4VUdZ3HLxnLcbjdsNhtkWS7pBwMiorVigCYiukob4V1IEIRM64HP51sSYlfD5/MV1Ovr8Xggy3LeFgotOBfaBlKMwcFBdHV1oaurK/O8HLQPKKsN7ERE5cAATUR0lTb6WUrBYBAul2vFGxXj8TiCwSDcbnfebbVWDj1C/UJaIBcEITMSXK5Au7DlJh6Pl+WcRETFYoAmIioTRVGQSCQKGn3u7+8HMD8KnY8oirqHZ2C+57m7uxvA/I2ZWoAvR4he2ELD2VCIqFIxQBPRuqQoCoLB4JLXteBYCl6vFz6fr6Btw+EwBEFY8SbIUgiFQnA6nZnnbrcbwOuzcpSSNups1NdORFSIDUYXQERkhGQyuaTfGUBWcNRTOBwu+MY4bfaL9vb2ktSyHEVRloz8dnd3w+/3Q5KknO/reW5t5L3YqfOqmSzLCIfDmJycBAB0dHRk/h76/X5MTk5CURRYrVb09vYaWSoRXcUATUTrUjn7axVFQSQSKXgENxKJAHi9hSEej2fdxCfLMjweT0kWHQkGg0vaRmw2G0RRhCzLGBoayoxI60lRlMziK4FAYE1fm8fjQTQazczrra0XtjCMRqNRiKIIn8+XGemWZTnzPZJlGbIsw263F/Rbg3A4jNHR0czXkkwm0dfXt2KLTTAYhNfrRSwWy9Th8XjQ39+P9vZ2eL1eiKKIYDAIn8/HAE1UKVQiohrkdDpVAGpvb++S92KxmCqKYs73CgFAFUWx4O3dbrc6NTWVs75EIpFzewCq2+1WI5GI6vP5st6fmppSbTbbqutfjt1uz/m6z+dTAag2m62o42lfy+KvQROLxVSfz6cKgqA6nU41FosVXXOuY4ZCIRWAqv0z53a7l1xru92uCoKgTk1NqbFYbMn1nJqaytS1nN7eXjUSiSypQRAE1e12590vEomoANRQKLTkPVEU834viMh4HIEmopoWDAazbn4r9yp34XAYDoejqLaHhTVGIpElI6CCICAUCsFqtaK5uVm3UUlZlvP2HTudTni9XsTj8VW1cQwODmZaFHKdt6urC21tbbr0PdtsNthsNtjtdkiSlOk9X1yzz+dDW1sb+vv7MyPfCwmCALfbDb/fn/fahMNhdHR0LBkxt9lsOHLkCFwuF9ra2nKO2mtzgedqG3I6nZm2GS5vTlR5eBMhEdU0t9udc+nocszwoLVurLavemhoKO8sHKIowm63w+v16jYPdCAQWPZ8WjtCrpsvV9Ld3Q2fz5fzEQqFEAgEEIvF0NTUBL/fv6avQ7Pwe5zr+619PX6/P+/X3dHRAeD1vvTFIpEIenp6cr6vfd/zte7E4/G8HxisVmvm+ERUeRigiWhdEQQBTqez4Nkw1qKYWTdyEUVx2RFZbclr7ca7tYrH48v27GozlJRqNo5AIIDe3l54vV5dVyIsZGnwlXqV831ISSaTUBQlb0+91jte6PE0xazgSETlxxYOIlqX7HZ7zlk49CJJEtra2lY10q3ts1I7g/a+HjdExuNxSJKUGfnMRZujWbvBrhTTzPl8vkzbjbaQzFoVeh1zWen7d+TIEXR3d+f9LYMgCDkDtCAIed8DXm/j0UbAiaiycASaiNYli8WC5ubmkh0/FAqtOvxpga7QUUg9+roHBwcRi8Wy2l0WP6ampjL9uKWcE1q7bnr9lmCl67iWdh7tNxrA/PfB7/fD5XLB6/XC6/Uu+73Rvs5cH4AikUjWsYmosjBAE9G6JAhCyaYEC4fDGBoagtVqzfvQbmxsa2vLvKb1/mqjjgtX5VtOodstZ6X2DU05lvbWRsHLfcPnaoXDYVitVng8HthsNoRCoUx/93Kj29qNjT09PUuOJ0kShoeHS106Ea0SWziIiHTmdDpXHDlsa2tDPB7Pmv9XowXZlQKkFpzX2kohSVJBfcIA0NXVBY/HA1mWCw7dtczj8ax6jmZJkjKj7B6PJzMSrigKpqamuJQ5UQVjgCYiqjDazYMr9TZrPdxrXX48FAplplRbiSAImenhAoFASVo5YrEYgJVv7DOaJEkIBoOw2+15w/PimwXj8XhmmXJtpJpBmaj6sIWDiKgCaYF2uRAtSVJmruK1KPaGQG3Kt6GhoTWdN18t2jR5+aaWqxTacuPLzRiy+LcIsixnQnUymUQ0Gi1ZfURUOgzQREQVyO12w2az5R0ZDofDiMfjOHLkyJpGMIPBYNEjvVp7iqIoeedH1hTTn60oSiaM2u32kiwZXqzlppvTerXzbRMOh5dc22Qymfl+dXR0rHijIRFVJgZoIqpJ2sitHlO8LaQFRm0qt9VQFCWz73L1DQ8PQ5blJSOx4XAYLpcLgUBgTbM0SJIEj8eDcDhc9GIsWghcqfVD+zrzrUIIzF+PcDiM1tZWxONxuN1uXRYQ0c6d7/ukfc3LfR+193JNeeh2uyEIAvr7+5ccQ5IkyLKMvr4+AK/fdLmw593tdkNRFFitVphMpqxHU1MTXC4X/H6/bgvlEJF+TKqqqkYXQUSkBy0QaotbaARBgMVigSiKqwpm2kjj4uMuPLY2+8JyXC4X4vF43voikUjOVgqv15s164XNZltxhoflxONxdHZ2LvlaYrHYiqPRDodjyaizVn8oFILNZkM8HofL5VoSKrXtFtKuhbbSYV9f35p7n9va2rJaJbTzBgIB2O32TH0Lvw/aNlpQ9vv9CAQCWV+DIAjo6urK6vtWFAX9/f2QJAnt7e1Zo8vah5tgMIhAIABRFLO+b9pNhKIoZs2/PTk5mfmApn3AikQiXNKbqIIwQBMREZWZFtBjsdiyLTjxeBw9PT2Ix+OcmYOogjBAExERlZGiKGhqaip4VFnbPhAIVERfOBGxB5qIiKistJk3Cm3J0Ka9K+XS80RUHAZoIiKiMtL6wIu5wVWW5aw+aSIyFls4iIiIyky7yVJbNGY5Ho8H0Wi0oG2JqDw4Ak1ERFRmoVAI7e3taGtryzuXtizLRQVtIiofjkATEREZRJsGL99cz16vd9XTFRJR6TBAExEREREVgS0cRERERERFYIAmIiIiIioCAzQRERERUREYoImIiIiIisAATURERERUBAZoIiIiIqIiMEATERERERWBAZqIiIiIqAgM0ERERERERfj/Ab/4KRbs0otlAAAAAElFTkSuQmCC", "text/plain": [ - "0.001" + "
" ] }, - "execution_count": 92, "metadata": {}, - "output_type": "execute_result" + "output_type": "display_data" } ], "source": [ - "1*1e-3" - ] - }, - { - "cell_type": "code", - "execution_count": 93, - "metadata": {}, - "outputs": [], - "source": [ - "def get_realistic_magnification_thresh(mag, significance=8):\n", - " '''\n", - " Get the realistic magnification threshold for a detected event given magnitude and significance level in sigma\n", - " '''\n", - " threshold_above_baseline = roman_noise_func(mag) * significance \n", - " threshold_above_baseline_frac = threshold_above_baseline * 1e-3\n", - " flux_contamination = roman_blend_frac_func(mag)\n", - " return (1-flux_contamination)*(1+threshold_above_baseline_frac) + flux_contamination " - ] - }, - { - "cell_type": "code", - "execution_count": 95, - "metadata": {}, - "outputs": [], - "source": [ - "mag_arr = np.linspace(15, 21, 100)\n", - "significance = 8\n", + "mag_arr = np.linspace(15, 21, 10)\n", + "significance = 3\n", "thresh_arr = np.array([get_realistic_magnification_thresh(mag, significance=significance) for mag in mag_arr])\n", - "plt.plot(mag_arr, thresh_arr)\n", + "\n", + "plt.plot(mag_arr, thresh_arr, label='3 sigma')\n", "plt.xlabel('F146 AB mag')\n", "plt.ylabel('Magnification threshold')\n", - "plt.title(r'${} \\sigma$ threshold'.format(significance))\n", + "# plt.title(r'${} \\sigma$ threshold'.format(significance))\n", + "plt.legend()\n", "plt.show()\n" ] }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Old version of the notebook" - ] - }, - { - "cell_type": "code", - "execution_count": 52, - "metadata": {}, - "outputs": [], - "source": [ - "class Nfw(Lens):\n", - " \"\"\"A class to represent a PBH population\"\"\"\n", - "\n", - " def __init__(self,\n", - " mass: float, # PBH mass in solar masses\n", - " mw_model=None,\n", - " l = None,\n", - " b = None,\n", - " ds = 770,\n", - " ut_interp = None,\n", - " R90 = None,\n", - " u_t = 1,\n", - " rS = 1,\n", - " ):\n", - " \"\"\"\n", - " Initialize the PBH population\n", - " \"\"\"\n", - "\n", - " self.mw_model = mw_model or MilkyWayModel(mw_parameters)\n", - " self.m31_model = M31Model(m31_parameters)\n", - " \n", - " if l is None:\n", - " raise ValueError(\"Galactic longitude must be specified\")\n", - " if b is None:\n", - " raise ValueError(\"Galactic latitude must be specified\")\n", - " self.l = l\n", - " self.b = b\n", - "\n", - " self.mass = mass\n", - " self.ut_interp = ut_interp\n", - " self.ds = ds\n", - " self.R90 = R90 #radius of 90% of the mass of the halo in kpc\n", - " self.u_t = u_t #upper limit of u\n", - " self.rS = rS #scale radius in solar radii\n", - " \n", - " def __str__(self) -> str:\n", - " return f\"NFW population with mass={self.mass}\"\n", - " __repr__ = __str__\n", - "\n", - "\n", - " def _rho_func(self, m, d):\n", - " return rho_func(m, d, self.ds) * self.rS #rS in solar radii\n", - "\n", - " def umin_upper_bound(self, d, m=None):\n", - " if m is None:\n", - " m = self.mass\n", - " rho = self._rho_func(m, d)\n", - " eR = einstein_rad(d, m, self.ds)\n", - " # return u_t_nfw(rho, self.R90/eR)\n", - " return u_t_nfw_101(rho, self.R90/eR)\n", - "\n", - " \n", - " def differential_rate_total(self, t, finite=True):\n", - " return self.differential_rate_mw(t, finite=finite) + self.differential_rate_m31(t, finite=finite)\n", - " \n", - " def compute_differential_rate(self, ts, finite=False):\n", - " return [self.differential_rate_total(t, finite=finite) for t in ts]\n", - "\n", - " def d_upper_bound(self, m=None):\n", - " if m is None:\n", - " m = self.mass\n", - " #Determine upper limit for d otherwise for low masses, the contribution which only comes from d << 1 gets missed\n", - " d_arr = np.logspace(-3, np.log10(self.ds*0.99), 100)\n", - " for d in d_arr:\n", - " if self.umin_upper_bound(d,m=m) == 0:\n", - " return d\n", - " return self.ds\n", - " \n", - " def differential_rate_integrand_new(self, umin, d, model, tmin=0.07, tmax=3, finite=False, v_disp=None, t_fwhm=False):\n", - "\n", - " #Analytically perform integral over t\n", - " r = model.dist_center(d, self.l, self.b)\n", - " ut = self.umin_upper_bound(d) if finite else self.u_t\n", - " if ut <= umin:\n", - " return 0\n", - " if v_disp is None: \n", - " # v_disp = model.velocity_dispersion_dm(r)\n", - " v_disp = model.velocity_dispersion_nfw(r)\n", - " \n", - " # if t_fwhm:\n", - " # ut = u_fwhm_interp([rho_func(self.mass, d, self.ds), umin])[0]\n", - " # ut = self.ut_interp(self._rho_func(self.mass, d), umin)\n", - "\n", - " A = 2/(ut**2 - umin**2)**0.5 * model.density_dm(d, self.l, self.b) / (self.mass * (v_disp*htosec)**2 ) * (2 * einstein_rad(d, self.mass, self.ds)* (ut**2 - umin**2)**0.5)**4 * kpctokm**2\n", - " B = (2*einstein_rad(d, self.mass, self.ds) * kpctokm * (ut**2 - umin**2)**0.5)**2 / (v_disp*htosec)**2\n", - "\n", - " def integral_t(t):\n", - " return A/(2*B) * (np.exp(-B/t**2 )/t - np.pi**(1/2) * erf(B**(1/2)/t) /(2* B**(1/2)))\n", - "\n", - " return integral_t(tmax) - integral_t(tmin)\n", - "\n", - " def rate_total_new(self, integrand_func, finite=True, tcad=0.07, tobs=3, epsabs = 1.49e-08, epsrel = 1.49e-08, efficiency=None): \n", - "\n", - " # Innermost integral over t\n", - " if efficiency is None:\n", - " def inner_integrand(u, d):\n", - " return integrand_func(u, d, tmin=tcad, tmax=tobs)\n", - " else:\n", - " t_arr = np.logspace(np.log10(tcad), np.log10(tobs), 10) #Evaluate the efficiency at 10 logarithmic points between tcad and tobs\n", - " t_mins = t_arr[:-1]\n", - " t_maxs = t_arr[1:]\n", - " def inner_integrand(u, d):\n", - " return np.sum([integrand_func(u, d, tmin=tmin, tmax=tmax) * efficiency((tmin*tmax)**(1/2)) for tmin, tmax in zip(t_mins, t_maxs)]) #use geometric mean of tmin and tmax to evaluate efficiency\n", - " \n", - " # Second integral (over u) - bounds given by d\n", - " def second_integral(d):\n", - " u_min, u_max = 0, self.umin_upper_bound(d)\n", - " result, error = quad(inner_integrand, u_min, u_max, args=(d), epsabs=epsabs, epsrel=epsrel) \n", - "\n", - " return result\n", - " \n", - " # Outermost integral (over d)\n", - " # d_min, d_max = 0, self.d_upper_bound() if finite else self.ds\n", - " d_min, d_max = 0, self.ds\n", - "\n", - " result, error = quad(second_integral, d_min, d_max, epsabs=epsabs, epsrel=epsrel)\n", - " return result \n", - " \n", - " def rate_mw_new(self, finite=True, tcad = 0.07, tobs = 3, efficiency=None, epsabs = 1.49e-08, epsrel = 1.49e-08, t_fwhm=False, v_disp=None):\n", - " def integrand_func(umin, d, tmin, tmax):\n", - " return self.differential_rate_integrand_new(umin, d, self.mw_model, tmin, tmax, finite=finite, t_fwhm=t_fwhm, v_disp=v_disp)\n", - " return self.rate_total_new(integrand_func, finite=finite, tcad=tcad, tobs=tobs, efficiency=efficiency, epsabs=epsabs, epsrel=epsrel)\n", - " \n", - " def rate_m31_new(self, finite=True, tcad = 0.07, tobs = 3, efficiency=None, epsabs = 1.49e-08, epsrel = 1.49e-08, t_fwhm=False, v_disp=None):\n", - " def integrand_func(umin, d, tmin, tmax):\n", - " return self.differential_rate_integrand_new(umin, d, self.m31_model, tmin, tmax, finite=finite, t_fwhm=t_fwhm, v_disp=v_disp)\n", - " return self.rate_total_new(integrand_func, finite=finite, tcad=tcad, tobs=tobs, efficiency=efficiency, epsabs=epsabs, epsrel=epsrel)\n", - " \n" - ] - }, { "cell_type": "code", - "execution_count": 478, + "execution_count": 8, "metadata": {}, "outputs": [ { - "data": { - "text/plain": [ - "15.20758807032295" - ] - }, - "execution_count": 478, - "metadata": {}, - "output_type": "execute_result" + "name": "stdout", + "output_type": "stream", + "text": [ + "Weighted A_T: 1.0471281157644827\n" + ] } ], "source": [ - "rho_func(1.818e-10, 1, 8.5)" + "#Perform the stellar-population weighted average of the magnification threshold\n", + "mag_arr = np.linspace(15, 21, 10000)\n", + "mag_thresh_arr = np.array([get_realistic_magnification_thresh(mag, significance=significance) for mag in mag_arr])\n", + "stars_monitored = np.array([roman_monitored_func(mag) for mag in mag_arr])\n", + "A_thresh_weighted = np.sum(stars_monitored*mag_thresh_arr) / np.sum(stars_monitored)\n", + "print('Weighted A_T:', A_thresh_weighted)\n" ] }, { - "cell_type": "code", - "execution_count": 467, - "metadata": {}, - "outputs": [], - "source": [ - "def Mcut(Amax, d, Rs, ds):\n", - " return (Amax**2-1)*d*(Rs*rsolkpc)**2*c**2/(16* ds**2 *G)\n", - " # return (-d * Rs**2 + Amax**2 * d * Rs**2)/(16 * c**2 * ds**2 * G)" - ] - }, - { - "cell_type": "code", - "execution_count": 476, + "cell_type": "markdown", "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "1.817888876036051e-10" - ] - }, - "execution_count": 476, - "metadata": {}, - "output_type": "execute_result" - } - ], "source": [ - "Mcut(1.01, 1, 1, 8.5)" + "### Old version of the notebook" ] }, { "cell_type": "code", - "execution_count": 327, + "execution_count": 9, "metadata": {}, "outputs": [], "source": [ @@ -497,6 +264,9 @@ " A = 2/(ut**2 - umin**2)**0.5 * density_dm / (mass * (v_disp*htosec)**2 ) * (2 * einstein_radius * (ut**2 - umin**2)**0.5)**4 * kpctokm**2\n", " B = (2*einstein_radius * kpctokm * (ut**2 - umin**2)**0.5)**2 / (v_disp*htosec)**2\n", "\n", + " # if B < (6*tmin)**2:\n", + " # return 0 #require 6 observations above threshold in order to be detected\n", + "\n", " # Define integral over t\n", " def integral_t(t):\n", " return A/(2*B) * (np.exp(-B/t**2 )/t - np.pi**(1/2) * erf(B**(1/2)/t) /(2* B**(1/2)))\n", @@ -545,67 +315,7 @@ }, { "cell_type": "code", - "execution_count": 352, - "metadata": {}, - "outputs": [], - "source": [ - "d_arr = np.logspace(-3, np.log10(8.5*0.99), 100)\n", - "e_r_arr = np.array([einstein_rad(d, m_arr[-1], 8.5) for d in d_arr])" - ] - }, - { - "cell_type": "code", - "execution_count": 362, - "metadata": {}, - "outputs": [], - "source": [ - "r90_max_arr = np.zeros_like(m_arr)\n", - "r90_min_arr = np.zeros_like(m_arr)\n", - "\n", - "for i, m in enumerate(m_arr):\n", - " e_r_arr = np.array([einstein_rad(d, m, 8.5) for d in d_arr])\n", - " r90_max_arr[i] = np.max(R90_values_dressed_expected[i]/e_r_arr)\n", - " r90_min_arr[i] = np.min(R90_values_dressed_expected[i]/e_r_arr)\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 366, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "Text(0.5, 1.0, 'Expected Dressed PBH')" - ] - }, - "execution_count": 366, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "plt.loglog(m_arr, r90_min_arr)\n", - "\n", - "plt.xlabel(r\"$M [M_\\odot]$\")\n", - "plt.ylabel(r\"Min($R_{90}/R_E$)\")\n", - "plt.title(\"Expected Dressed PBH\")" - ] - }, - { - "cell_type": "code", - "execution_count": 4, + "execution_count": 10, "metadata": {}, "outputs": [], "source": [ @@ -616,7 +326,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 11, "metadata": {}, "outputs": [], "source": [ @@ -639,33 +349,31 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "# params = {\"l\": 1.0, \"b\": -1.03, \"source_dist\": 8.5, \"obs_time\": 6*72*24, \"cadence\": 15/60, \"n_sources\": 2.4e8, \"efficiency\": 1, \"A_t\": 1.34, \"survey_area\":0}\n", "rsolkpc = 2.25e-11\n", - "params = {\"l\": 1.0, \"b\": -1.03, \"source_dist\": 8.5, \"obs_time\": 6*72*24, \"cadence\": 15/60, \"n_sources\": 2.4e8, \"efficiency\": 1, \"A_t\": 1.34, \"survey_area\":0}" + "params = {\"l\": 1.0, \"b\": -1.03, \"source_dist\": 8.5, \"obs_time\": 72*24, \"cadence\": 15/60*6, \"n_sources\": 2.4e8, \"efficiency\": 1, \"A_t\": 1.34, \"survey_area\":0} # Change observationd time to one season then multiply total rate by 6 for limits" ] }, { "cell_type": "code", - "execution_count": 31, + "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "1.655346453341097e-10\n", - "4.545648836200719e-11\n" + "2.892441839118837e-08\n" ] } ], "source": [ "R90_test = r90_vals_nfw[10]\n", - "m_test = 1e-8\n", - "print(rate_mw_new(m_test, params['source_dist'], params['l'], params['b'], R90_test*rsolkpc, u_t_nfw, tcad=params['cadence'], tobs=params['obs_time'], efficiency=None, epsabs=0, epsrel=1e-1))\n", + "m_test = 1e-7\n", "print(rate_mw_new(m_test, params['source_dist'], params['l'], params['b'], R90_test*rsolkpc, u_t_nfw, tcad=params['cadence'], tobs=params['obs_time'], efficiency=None, epsabs=0, epsrel=1e-1))\n", "\n", "# print(nfw.rate_mw_new(tcad=params['cadence'], tobs=params['obs_time'], efficiency=fake_effieiency, epsabs=0, epsrel=1e-1))" @@ -686,306 +394,19 @@ ] }, { - "cell_type": "code", - "execution_count": 9, - "metadata": {}, - "outputs": [], - "source": [ - "def calculate_rate(m, R90, u_t_func):\n", - " # return rate_mw_new(m, params['source_dist'], params['l'], params['b'], R90*rsolkpc, u_t_func, tcad=params['cadence'], tobs=params['obs_time'], efficiency=roman_efficiency, epsabs=0, epsrel=1e-1)\n", - " return rate_mw_new(m, params['source_dist'], params['l'], params['b'], R90*rsolkpc, u_t_func, tcad=params['cadence'], tobs=params['obs_time']*100, efficiency=roman_efficiency, epsabs=0, epsrel=1e-1)" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "100%|██████████| 3/3 [03:14<00:00, 64.83s/it]\n" - ] - } - ], - "source": [ - "m_arr = np.logspace(-11, 4, 100)\n", - "\n", - "R90_values = [0.1, 10, 100]\n", - "rate_dict_e = {}\n", - "\n", - "for R90 in tqdm(R90_values):\n", - " func = partial(calculate_rate, R90=R90, u_t_func=u_t_nfw)\n", - " with Pool() as pool:\n", - " rate_arr = np.array(pool.map(func, m_arr))\n", - " \n", - " rate_dict_e[R90] = rate_arr" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "100%|██████████| 3/3 [03:11<00:00, 63.70s/it]\n" - ] - } - ], - "source": [ - "m_arr = np.logspace(-11, 4, 100)\n", - "\n", - "rate_dict_e_101 = {}\n", - "\n", - "for R90 in tqdm(R90_values):\n", - " func = partial(calculate_rate, R90=R90, u_t_func=u_t_nfw_101)\n", - " with Pool() as pool:\n", - " rate_arr = np.array(pool.map(func, m_arr))\n", - " rate_dict_e_101[R90] = rate_arr" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "metadata": {}, - "outputs": [], - "source": [ - "def fdm_constraint(rate, obs_time, n_sources):\n", - " fdm = 3.0 / (rate*obs_time*n_sources)\n", - " return np.where(fdm==np.inf, 1e3, fdm)" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_67666/614136275.py:2: RuntimeWarning: divide by zero encountered in divide\n", - " fdm = 3.0 / (rate*obs_time*n_sources)\n" - ] - } - ], - "source": [ - "fdm_dict_e = {}\n", - "\n", - "for r90, rate_arr in rate_dict_e.items():\n", - " fdm_arr = fdm_constraint(rate_arr, params['obs_time'], params['n_sources'])\n", - " fdm_dict_e[r90] = fdm_arr" - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_67666/614136275.py:2: RuntimeWarning: divide by zero encountered in divide\n", - " fdm = 3.0 / (rate*obs_time*n_sources)\n" - ] - } - ], - "source": [ - "fdm_dict_e_101 = {}\n", - "\n", - "for r90, rate_arr in rate_dict_e_101.items():\n", - " fdm_arr = fdm_constraint(rate_arr, params['obs_time'], params['n_sources'])\n", - " fdm_dict_e_101[r90] = fdm_arr" - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "metadata": {}, - "outputs": [], - "source": [ - "color_dict = {0.1: 'C0', 1: 'C1', 5: 'C2', 10: 'C3', 20: 'C4', 50: 'C5', 100: 'C6'}" - ] - }, - { - "cell_type": "code", - "execution_count": 51, - "metadata": {}, - "outputs": [], - "source": [ - "r90_01_df = pd.read_csv('extended_dat/r90_01.csv', header=None)\n", - "r90_100_df = pd.read_csv('extended_dat/r90_100.csv', header=None)\n", - "\n", - "def plot_existing_limits(ax=None):\n", - " if not ax:\n", - " ax = plt.gca()\n", - " ax.fill_between(r90_01_df[0], r90_01_df[1], 1, alpha=0.2, color=color_dict[0.1])\n", - " ax.fill_between(r90_100_df[0], r90_100_df[1], 1, alpha=0.2, color=color_dict[100])\n", - " # plt.fill_between(r90_01_df[0], r90_01_df[1], 1, alpha=0.2, color=color_dict[0.1])\n", - " # plt.fill_between(r90_100_df[0], r90_100_df[1], 1, alpha=0.2, color=color_dict[100])\n", - " " - ] - }, - { - "cell_type": "code", - "execution_count": 112, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "u_T_values_nfw = np.zeros((len(rho_arr), len(r90_vals_nfw)))\n", - "\n", - "for i, r90 in enumerate(r90_vals_nfw):\n", - " for j, rho in enumerate(rho_arr):\n", - " u_T_values_nfw[j, i] = u_t_nfw(rho, r90)\n", - "\n", - "# Creating the contour plot\n", - "X, Y = np.meshgrid(r90_vals_nfw, rho_arr)\n", - "plt.contourf(X, Y, u_T_values_nfw, levels=20, cmap='viridis')\n", - "plt.colorbar(label='u_T')\n", - "plt.xscale('log')\n", - "plt.xlabel(r'$r_{90}$')\n", - "plt.ylabel(r'$\\rho$')\n", - "plt.title('NFW Subhalo')\n", - "plt.ylim(0,3)\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 149, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "#New R90 Implementation longer t_dur\n", - "R90_plot_vals = [0.1, 100]\n", - "for R90 in R90_plot_vals:\n", - " plt.loglog(m_arr, fdm_dict_e[R90], label=r'$R_{90} =$ ' + str(R90) + '$ ~R_{\\odot}$', color=color_dict[R90], linewidth=2.5)\n", - " plt.loglog(m_arr, fdm_dict_e_101[R90], color=color_dict[R90], ls='--')\n", - "\n", - "plt.plot(0, 0, color='k', label=r'$A_T = 1.34$')\n", - "plt.plot(0, 0, ls='--', color='k', label=r'$A_T = 1.01$')\n", - "\n", - "plot_existing_limits()\n", - "plt.ylim(1e-7, 1)\n", - "plt.xlim(1e-11, 1e3)\n", - "plt.legend()\n", - "plt.xlabel('$M_{DM} [M_{\\odot}]$')\n", - "plt.ylabel('$f_{DM}$')\n", - "plt.title('NFW subhalos')\n", - "# plt.savefig('figures/extended_limits_e_101.pdf')\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 119, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "r90_plot_vals = [0.1,1, 5, 20, 50]\n", - "rho_arr = np.logspace(-1, np.log10(4), 50)\n", - "\n", - "for r90 in r90_plot_vals:\n", - " ut_arr = np.array([u_t_nfw(rho, r90) for rho in rho_arr])\n", - " plt.plot(rho_arr, ut_arr, label=r'$r_{90} =$ ' + str(r90), color=color_dict[r90])\n", - "\n", - "# plt.plot(rho_arr, u_T_arr_01, label=r'$r_{90} = 0.1$')\n", - "# plt.plot(rho_arr, u_T_arr_10, label=r'$r_{90} = 10$')\n", - "# plt.plot(rho_arr, u_T_arr_100, label=r'$r_{90} = 100$')\n", - "plt.plot(rho_arr, rho_arr, label='u = rho', ls='--', color='k')\n", - "plt.xscale('log')\n", - "plt.xlabel(r'$\\rho$')\n", - "plt.ylabel(r'$u_T$')\n", - "# plt.ylim(0,4)\n", - "plt.legend()\n", - "# plt.savefig('figures/u_T_extended.pdf')\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Axion" - ] - }, - { - "cell_type": "code", - "execution_count": 138, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [], "source": [ - "u_T_values_axion = np.zeros((len(rho_arr), len(r90_vals_axion)))\n", - "\n", - "for i, r90 in enumerate(r90_vals_axion):\n", - " for j, rho in enumerate(rho_arr):\n", - " u_T_values_axion[j, i] = u_t_axion(rho, r90)\n", - "\n", - "# Creating the contour plot\n", - "X, Y = np.meshgrid(r90_vals_axion, rho_arr)\n", - "plt.contourf(X, Y, u_T_values_axion, levels=20, cmap='viridis')\n", - "plt.colorbar(label='u_T')\n", - "# plt.xscale('log')\n", - "plt.xlabel(r'$r_{90}$')\n", - "plt.ylabel(r'$\\rho$')\n", - "plt.title('Axion Star')\n", - "plt.ylim(0,2.5)\n", - "plt.xlim(0,5)\n", - "plt.show()" + "def calculate_rate(m, R90, u_t_func):\n", + " # return rate_mw_new(m, params['source_dist'], params['l'], params['b'], R90*rsolkpc, u_t_func, tcad=params['cadence'], tobs=params['obs_time']*100, efficiency=roman_efficiency, epsabs=0, epsrel=1e-1)\n", + " return rate_mw_new(m, params['source_dist'], params['l'], params['b'], R90*rsolkpc, u_t_func, tcad=params['cadence'], tobs=params['obs_time'], efficiency=roman_efficiency, epsabs=0, epsrel=1e-1)\n" ] }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 20, "metadata": {}, "outputs": [ { @@ -999,122 +420,109 @@ "name": "stderr", "output_type": "stream", "text": [ - "100%|██████████| 3/3 [03:22<00:00, 67.60s/it]\n" + "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_91393/2784554043.py:63: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", + " result, error = quad(inner_integrand, u_min, u_max, args=(d), epsabs=epsabs, epsrel=epsrel)\n", + "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_91393/2784554043.py:63: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", + " result, error = quad(inner_integrand, u_min, u_max, args=(d), epsabs=epsabs, epsrel=epsrel)\n", + "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_91393/2784554043.py:63: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", + " result, error = quad(inner_integrand, u_min, u_max, args=(d), epsabs=epsabs, epsrel=epsrel)\n", + "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_91393/2784554043.py:63: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", + " result, error = quad(inner_integrand, u_min, u_max, args=(d), epsabs=epsabs, epsrel=epsrel)\n", + "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_91393/2784554043.py:63: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", + " result, error = quad(inner_integrand, u_min, u_max, args=(d), epsabs=epsabs, epsrel=epsrel)\n", + " 33%|███▎ | 1/3 [09:16<18:33, 556.92s/it]/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_91393/2784554043.py:63: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", + " result, error = quad(inner_integrand, u_min, u_max, args=(d), epsabs=epsabs, epsrel=epsrel)\n", + "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_91393/2784554043.py:63: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", + " result, error = quad(inner_integrand, u_min, u_max, args=(d), epsabs=epsabs, epsrel=epsrel)\n", + "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_91393/2784554043.py:63: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", + " result, error = quad(inner_integrand, u_min, u_max, args=(d), epsabs=epsabs, epsrel=epsrel)\n", + "100%|██████████| 3/3 [26:59<00:00, 539.68s/it]\n" ] } ], "source": [ "m_arr = np.logspace(-11, 4, 100)\n", "\n", - "rate_dict_axion = {}\n", + "R90_values = [0.1, 10, 100]\n", + "rate_dict_e = {}\n", "\n", - "R90_values_axion = [0.1, 1, 10]\n", - "for R90 in tqdm(R90_values_axion):\n", - " func = partial(calculate_rate, R90=R90, u_t_func=u_t_axion)\n", + "for R90 in tqdm(R90_values):\n", + " func = partial(calculate_rate, R90=R90, u_t_func=u_t_nfw_thresh)\n", " with Pool() as pool:\n", " rate_arr = np.array(pool.map(func, m_arr))\n", " \n", - " rate_dict_axion[R90] = rate_arr" + " rate_dict_e[R90] = rate_arr" ] }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 21, "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "100%|██████████| 3/3 [03:41<00:00, 73.92s/it]\n" - ] - } - ], + "outputs": [], "source": [ - "rate_dict_axion_101 = {}\n", - "\n", - "for R90 in tqdm(R90_values_axion):\n", - " func = partial(calculate_rate, R90=R90, u_t_func=u_t_axion_101)\n", - " with Pool() as pool:\n", - " rate_arr = np.array(pool.map(func, m_arr))\n", - " rate_dict_axion_101[R90] = rate_arr" + "def fdm_constraint(rate, obs_time, n_sources):\n", + " fdm = 3.0 / (rate*obs_time*n_sources)\n", + " return np.where(fdm==np.inf, 1e3, fdm)" ] }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 22, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ - "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_67666/614136275.py:2: RuntimeWarning: divide by zero encountered in divide\n", + "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_91393/614136275.py:2: RuntimeWarning: divide by zero encountered in divide\n", " fdm = 3.0 / (rate*obs_time*n_sources)\n" ] } ], "source": [ - "fdm_dict_axion = {}\n", + "fdm_dict_e = {}\n", "\n", - "for R90, rate_arr in rate_dict_axion.items():\n", - " fdm_arr = fdm_constraint(rate_arr, params['obs_time'], params['n_sources'])\n", - " fdm_dict_axion[R90] = fdm_arr" + "for r90, rate_arr in rate_dict_e.items():\n", + " fdm_arr = fdm_constraint(rate_arr, params['obs_time']*6, params['n_sources'])\n", + " fdm_dict_e[r90] = fdm_arr" ] }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 23, "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_67666/614136275.py:2: RuntimeWarning: divide by zero encountered in divide\n", - " fdm = 3.0 / (rate*obs_time*n_sources)\n" - ] - } - ], + "outputs": [], "source": [ - "fdm_dict_axion_101 = {}\n", - "\n", - "for R90, rate_arr in rate_dict_axion_101.items():\n", - " fdm_arr = fdm_constraint(rate_arr, params['obs_time'], params['n_sources'])\n", - " fdm_dict_axion_101[R90] = fdm_arr" + "color_dict = {0.1: 'C0', 1: 'C1', 5: 'C2', 10: 'C3', 20: 'C4', 50: 'C5', 100: 'C6'}" ] }, { "cell_type": "code", - "execution_count": 45, + "execution_count": 24, "metadata": {}, "outputs": [], "source": [ - "R90_01_axion_df = pd.read_csv('extended_dat/R90_01_axion.csv', header=None)\n", - "R90_1_axion_df = pd.read_csv('extended_dat/R90_1_axion.csv', header=None)\n", - "R90_10_axion_df = pd.read_csv('extended_dat/R90_10_axion.csv', header=None)\n", + "r90_01_df = pd.read_csv('extended_dat/r90_01.csv', header=None)\n", + "r90_100_df = pd.read_csv('extended_dat/r90_100.csv', header=None)\n", "\n", - "def plot_existing_limits_axion(ax=None):\n", + "def plot_existing_limits(ax=None):\n", " if not ax:\n", " ax = plt.gca()\n", - " ax.fill_between(R90_01_axion_df[0], R90_01_axion_df[1], 1, alpha=0.2, color=color_dict[0.1])\n", - " ax.fill_between(R90_1_axion_df[0], R90_1_axion_df[1], 1, alpha=0.2, color=color_dict[1])\n", - " ax.fill_between(R90_10_axion_df[0], R90_10_axion_df[1], 1, alpha=0.2, color=color_dict[10])\n", - "\n", - " # plt.fill_between(R90_01_axion_df[0], R90_01_axion_df[1], 1, alpha=0.2, color=color_dict[0.1])\n", - " # plt.fill_between(R90_1_axion_df[0], R90_1_axion_df[1], 1, alpha=0.2, color=color_dict[1])\n", - " # plt.fill_between(R90_10_axion_df[0], R90_10_axion_df[1], 1, alpha=0.2, color=color_dict[10])\n", + " ax.fill_between(r90_01_df[0], r90_01_df[1], 1, alpha=0.2, color=color_dict[0.1])\n", + " ax.fill_between(r90_100_df[0], r90_100_df[1], 1, alpha=0.2, color=color_dict[100])\n", + " # plt.fill_between(r90_01_df[0], r90_01_df[1], 1, alpha=0.2, color=color_dict[0.1])\n", + " # plt.fill_between(r90_100_df[0], r90_100_df[1], 1, alpha=0.2, color=color_dict[100])\n", " " ] }, { "cell_type": "code", - "execution_count": 132, + "execution_count": 42, "metadata": {}, "outputs": [ { "data": { - "image/png": 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2a81eTk2xRWIAAP+WHXA6bCavpvbQ82+ezHPvbu4E4zraxCAaru2GY/ttEBRnUR87EQ2j7cqPwObzYy3/66/hdi/9u7+aUCgEAHnlucuhTYnLCAQCSzp3ZGRqp1fqAlIKLosEv13BbFwzbQ3VjMt1YHrS7GXAZ1v48ZyKVXZ2GgAgKgATAEMHgOwZAAYOcHotlwKX5p9zQ89+HwghpBTmYkk0YBbeljbYtr6o6ME0AIx98b1gGk8/fl0Dtlxzc9EeiwLqZXR3d684/TATaBeqz/RLX/pSdHV1YXBwcM23YYyh2W1FUjPAOS/IOsgCLjvAYX6w4bEsvBueTVTB91mU0//mg2fOFjLuzEisdCtSSFJOGZNGzzkhpPg40n+/vFoQ9fVu2DvvgORoKslj2374xYULL3rHum47ODiIrq4u9PT0rOn6FFAvY//+/StmqM+ePVuQlniZOunvfe97OHPmDI4cObKu2/scCpyKhHDC/MCv0iiKBYf+qB+KskIdnWgHYzJgmJs1Va1VGFALEhSB4fBvvRZMzHn+ecq8ddUQJlsXLqQooC4lRZZw+LdeC0WmSksz0PNvnrgBvP3Ay9Dqk+HoeCEU746SPO4vHvsqbHPpcg1dkbD3DR9c1+2PHDmCM2fOYGxsbE3Xp4B6GXfffTemp6eXDapPnjyJw4cPb/oxMgH1Rlvk2WQRjS4FoQQFIuulWCw4/O73QVnhueeSDVy0ACZnTdVqy1ALIiBZoAjAO9/ya2DSQnBHGerSEJSc2lHKUJeUosh451t+DYpS4XshKhQ9/+aIpnRYeAoffMvtqN++B9amPWBCad7UXPnqB7IfTwfugCQX93tfswF1MBhcMjI8Q1VVPPDAA+jv7887fvLkSQQCgTW3xiu2RpcVnDPoRhUEW+VEUMAlB5geM3UZuSUfwWoIqAFwiw0w5t8EspzyA4PeGJYCp5IPQkiJpAwDsXgCjcIcPM1bYG2/pSR10wAQnr2CuufPpC8w4Nrf/IuiP2ZNnfs4fvw4xsbGMDExkf23f/9+qKqKe+65Jy9QPnDgAFRVRX9/Pzo7O7M11SMjq7dbWa+enh6IoogjR46su+zDa5fhtoqYS2hQqYVeQXHFCyF+BWaGsXYJkARAM6onoIZkA3h6g2VuW0LKUJeItHBWhmkJU1/fhJDqZXCO2WgKjcYsfA1u2LbdWrK6aQAY/8d3w6+nf8OFfK3o2nr9uu9jcHAQg4OD0PW1ldbWVEB99OjRdV2/t7e36CPEx8bG1t3CJUMWBbS4rPjZ5TAF1AXGJTs4zO2swRiDamGYjPHqKPkAACnndZrb55ub31WlJuQE1NDoOSeEFEcwpqFOD6FelWArYd10huun/5z9WH7xH23oPjKJzlAoBI/Hc9Xr12zJR7Wod1kgCQxJrQraqpUT0Ta/MdHcUoRMHXXVBNSinO43zY1FGWoK7koiL6CmswKEkMKbS2iw6FE02HU4WrtgbbyxZHXTAPDTb30elkgEAJCyKrjpNX9YkselgLrCqVYZqk1GKEF9fAuJS3Zw0Qro5gYdmTrqhA7EtCoIquc7fUDXwBkF1CVHATUhpIjimgEtlUCTHIOrsRXW9hdCUFafMFhos//50YWPd7wcoliaAXgUUJusp6dn3X2ocwkCwxbVhkiS2ucVlCCnNyYacVOXUX29qJV0QG1o+SUfFFCXRO6mREYBNSGkgDSDIxxPoQlzqPO6YN36Ioj20tVNA8DM5WegXn4SAMAFYPeb/3LD97XePtQ1VUNdjjZTQ53hsyuwyyJiKZ1GkRcQV+ogxC+bunErr9NHnKPJYeJiCkGU0lnSVBxcyNkgRwF1aeT2oaaAmhBSIAY4gjEN9XwOPlWBpb0HSt32q47rLrSffPEP4Z+vgJ2t78Du5o1PtaYa6hrktIjwO2TMxqj1WCFxyZGd8GSWqutFDYArtvkMdc4GRdqUWBq5bfNosAshpEBmYxrcPIIGB4etdVe6blosbbMEXdfh+fnXspcd+99X0sengLoKZEaRpwxOo8gLSbKlN1KYuDExd1pi1bTOU2yAoVOG2gxUQ00IKbBwUoOkJ9GkJGGrb4a1tafkddMA8KP/+hvIsfTvtaTdhhv395X08SmgrhJeuwKHTKPIC4mLNnDBCujm1VFXXQ01kK6j5nzRYBcKqEuBL+pDTQghm5HUDSSTGprFMJx1Lli33gLR0WzKWhLf+FT249CuXyv541NAbbLNbkrMsMkimlwKQnEq+ygYQQaXXWAmdvqoxmmJkK2AIIBjod6fMtQlQn2oCSEFohscoWgKjWwOqmqDtX0fFLX0ddMA8OwvH4Nn8hkA6c2IN735zzd9n7QpscIUYlNiRqPLionpGDSDQxJK/4KuRlxWIcSeN62SuhprqCFZAMkCnpP5Z1RDXRpU8kEIKQAOjmBcg5eF4XcrsDbthKX++pLXTWec+/wh+Ob/RE63Xo/dvpZN3ydtSqxhdXYZHquEOcpSFwyX7KY+vlqNGWpJAWQL8gZRUoa6NHI3JVJATQjZoFBcg9OIodEpwFrfAkvLHgiWwiQH12vywpPwPvvj9AUGdLzlQVPWQQF1FZFFAa0eK+aojrpguGRPd6MwKeDLr6GunmmY3OICz/lyqOSjRCigJoRsUiylA1oCDYoGR10drC3dEB2bzwhv1BN/+7tg839PZhoD2HLNzaasgwLqKuN3KLBIAuIaBdUFIdrS3ShMqqN2KQyZkHo2XiUZagBQ7EBODTVlqEuECeBiOqimTYmEkPVKGQaiiRSaxBg8PieUlhsgq52m1E0DQHj2CvznHs1ebjj4V6asA6CAuuqoNhk+u4zZGI0iLwhBmp+YaE7wIQoM7vksddWUfADpkg9RAmfpbRxUQ11C8nwdNW1KJISsg8E5ZiMpNPAQfD4VloYdsPh2gYnK1W9cJKc/93YwLf23cc7bhB37XmPaWiigNlmhunxkMMbQ6rEhoRnUk7pAuFIHppsXfGTKPqpmUyIASNZ0+QGb38Bi0huWmpTZmEiDXQgh6xCMaagzQmj0q1B8jVDqd0OwXH2zXrEk41F4f/Yf2cvW13ysoPdPXT4qTCG7fGT4HApcFglzCQ1uqzk7bqsJl2ymTkxULQzPAAingJTBIVdDBxdJAUQLOFPAEAMzcXhOzcnUUVPJByFkjeYSGixaBI2qAxbVDcXfBdHZauqa/t8//D58yXR5a9StYl/v2wt6/9Tlg8Ami2h2WxGKUx11QYg2MCYChjnPZ+7GxFC1ZKkZA7e5Fko+KENdMpnhLkxPIm9nKCGELCOuGdATMTTbGJw+DxT/NVDqzOk3naHrOtzjX8xeNl7yx6atJYMC6irV6FLAAKR0+oO5WVy0gguKaWUJVdmLGgBk+0LJB6cMdcnQcBdCyBppBkc4GkejGIfq90D2tkP27jS1bhoAHvvSByDHF8aM7/31Y6auB6CAumrV2RR47TJm47Q5cdMEC7hoN21iYm6GeqaaOn3IVnAhHVAzrgGczqiUBAXUhJA1MMARjCbhRwj19SoUXxss9ddDtKpmLw2W7y3sO4vc/LsQRXGVa5cGBdRVShQYtqg2RJMUpGwaY+CK27QMtadqM9RWQMgJ7qh1XmnQtERCyBqE4hrcehCNXhcs9S2wNN4I0d5g9rJw+l8/DWs4DADQLDJe8FubHzNeCBRQVzG/Q4FdFhFJUpZ60yQnmGHO86haqzeg5pIje5GGu5QGp4CaEHIVkZQOKR5Ck0uBvb4JlqZuSE7zhrfkMh65N/tx8Ia7IMnl0XyBAuoq5rRIaHRZEKSe1JvGJRvAGGBCK8KqraFGemLiwgUKqEsiZ1oiDXchhCyW1A0koxE0Wg24Gxpgbe2B5Go3e1kAgCe+80U4glMAAEMWcPPvDJm8ogUUUJus0H2oF2tyWcA5oBvVFYiVGhet4KLFlLKP3JKPqhruAgDyQkBNGeoSka0LH1NATQjJoXOOUDiGBhaBt94DW/sLIasBUzt65Jr7an/246lremF1FLbtcC7qQ11hitGHOpfPocBjlRCKp1BnN3dXbkUTbYBgATOS4KL16tcvoGoOqLm08Fyatemz5uRkqGm4CyEkg89vQvQaQdQ3uWHvuA1y3TVgrDxyrxM/fgTuyWcBAFxkuOl3P1fUx6M+1CSPLArY4rFiLkGbEzeFieCyC9DjJX/oqi75yH1zkpwzbyG1hGqoCSHLCMU1OOJTaFItcHa8CBb/bjDB/O4ZGRf+6Uj246mtPfD4t5i4mqUooK4BfqcFFklAPEVB9WZw2WPKRL+q7fIB5HX5YMmQiQupHbmbEhm1zSOEAIildAiRaTQ6DHh2vBCW5j1gYnls9gOAi+d+BO/zvwAAcAG45q0PmryipSigrgEeqwS/Q0GQelJvChdtpmxKVEQG+3xxVtWVfIi2hQuMU1/kUqAMNSEkR8rgiM3OoMESQ/01N8O65QUQpNKWNl7NL//hEDD/52+meReatl5v7oKWQQF1DWCModVjRVLTYZgQEFYNyQaIMmBilrraMtRczMmWSiIQp7KPoqOAmhAyz+AcoWAQDVIITTu6Ydt2BwTZcfUbltDM5Wfge+ZU9nLrbxSnicNmUUBdI3x2BW6rjLkEZak3Kj2C3GLKAJLcgLqq3hTl1lArlvS0RMMwbz21IHdTIgXUhNS02bk5qHwajZ274dj+MgiW4jVJ2Kif/N3bwPT0373Z+jZ0XP9Sk1e0PAqoa4RVFtHssiJEZR8bJyjzI8hN2Jg4P9zF4EC4iqoieO6kRJEBFieQCJu3oBqQ21mFAmpCatdcJAJb9DKat+6Aeu3LIVq9Zi9piVh4Bt5ffiN72fPrnzRxNaujgLqGNLosEBlDUqMM4EZxRTUlQ61Wa+u8nAw14ylwdyOQipm4oBpAg10IqXnxRAIIPY/Gtlb4d78CkqPR7CUta+xzhyHMxyzhunp03XaPyStaGQXUNaTOJsNnVzAbL30NcNWQ7GC89N1S8jt9VM8boty2eUyPA3YVUKxAkoLqosmroa6i0x2EkDWJJ5JITj+LhqYGtNz4WsjuNrOXtKxUMoG6J/45e1l6+QdNXM3VUUBtsmJPSswlCOnNibGUAV5NdbgllO5KIaRrfUuoWoe75PWh1hOAYgd3+KjsY602Um8u5wTUqdKXLxFCzBNPpJCYfg6N9Sra97washowe0kreuzzfwRxft9X3OlC96vfVdLHp0mJFabYkxIX8zsUOGQRkaQOp4W+/evFJXs6CNTjgFS6ndCqZeG9b1V1+sjtQ52pTXf4gNmLgJ5Kd1Uhy4vNAok5wN0MrGf4AmWoCalJsWQKqeAFNPkdaLvplbD4d5bNSPHFdF2H49TfZS8nb/v9kq+BJiWSVTksEprcFir72CjRCi45S74xMa+GOl49AXVeyYcx/5za3IDNA8QpS72i2CwAnt7EaazzbIkgggvpN9NUQ01IbYglNSSDF9HkUbDlhl5YG68vm5Hiyzn1lY9Biab/JqRsFvTc/TGTV3R15ftskqJpdFkBzqAZ1ROYlRJXvGB6aQORqp2WmNOHOjvWnQnpzYlGijKoy5kPpnldO8AYwDdQ9pHZmEgBNSFVL5rSkZi9jBYXQ+v1L4GtuRtMKO8z1NK3/yL78Vz3b0MUy2cE+koooK5BPrsMj01CiLLUG8JlBzhKG9R6rNUZUOdvSswJ7pw+cLUFiM5sLGCsVrEQwA3w+k7A5Ue6nn8Dr4dM2Qe9YSGkqkVSOlKzV9Dq1NG0+zZYt7wATFSufkMT/fC/h2CbmwUA6IqEm9/ylyavaG0ooK5Bkiig1W2lIS8bxCUHmCCXtH1e1bbNYzJ45tdQbhkNEwB1S7r8Ixo0ZWllJxYCuA7esB1w+tPZacaAjby5ywbUtCmRkGoVSenQ5mbQYo2j+doXwN5+a9mNFF9O4msfzn480/VaKFa7iatZOwqoa1S90wKrJCKeKn0LuIon2sBFa0nrqKu1ywcYy5Z9MGNR+YFsAfduTX9c6230MsF0fWc6mAYAJqbfeGwgg89zM9TU8YeQqhNJ6dDCs2hRQmi8dl9ZjhRfzi8e+ypcM5cAAFxi2Pu2B01e0dpRQF2j3FYJfoeCIE1OXD9BApc9+RnVIrNLgDz/01pNJR/AQtnHsm9QHHXgda1APLT+zXfVIp4TTLvqF45nMtSbKPlg3AAM+h1ASDUJJzVosTm0SkE0bt8HR2dvWY4UX87UyT9a+DhwBxxun4mrWR8KqGsUY+me1EmNelJvBFdUsBKWfDDGslnqaguos63zVtro6WlJZ2Wj06VbU7mYfyOxJJjOEMQNBtQ5NZS0MZGQqhFOatATUbRiEvWd3bBf84qKCaaf+dl3oV4+BwDgAnDd2//e3AWtEwXUNcxnV+CySFRLvQFcsgPYYIeFDVJzAupqehOUzVAbK2T8RQnc25bOqsZDJVyZyWIhQNfB6wPLB9NAuuxjI6+FvOEuFFATUg3CCQ16MoYtxvOo7+yGY+erIFpcZi9rzZ7+wjuyW0Km2vbA27jN1PWsFwXUNcwqi2h2WzGXqNFT6ZvAxcyAl9IFI5kMdUIHqqlSJ9vpQ0+sHBxaXeC+rYCupwPNasY5EJ4EGAdv6ARcDStfVxA32DYvd7gLBdSEVLpwQoOeiqJVfw6+QDccu15TUcH05fM/g/fCT9MXGLD9f1VO7XQGBdQ1rtGlABzQdGpNti6iDVy008bEQshkqMFX75ziakgHmDCqt/OHoQPhy4DFAd64c+XM9DwuiNhIlw+eE1Azap1HSEWbS2gwEmFs0S/C33kznF2vq6hgGgB+/vdvB5sPQ2Yat6Ols9vcBW0ABdQ1rs6moM4u0+bE9WIM3FIHrFSmUARqtfaiXm78+Epc9em2cYIARKqsplpLpDPTznrwxmvTLQOvRpAoQ01IDZtLaEA8hFZcQf01L4Jr9+sgWisrmJ6buQjfue9nLzfe89cmrmbjKKA2WU9PD7q6ujA4OGjK44sCwxaPDZEklX2sF5dcJa2hrtZpibnDXbC4dd5yHD7whh2AKKcD0GqoJ0+EgdgsuLct/bUptrXdbsObEimgJqTSheIpsOg0WsUZ1HfdAUfXayAoldGzOdf4594Opqd/j4V8Ldje/UqTV5Q2ODiIrq4u9PT0rOn65T17sgaMjY3B7TZ3B67focAui4gmddiV8h/vWTYkOxiTwA0tnSkssqod7iLmZqhjaytgsKvgjdeAXTkLRCYBx/ygk0rDebp8hSEdSLsb1/d1CAI2NtiFunwQUslm4ylI4Uk02+No6LoT9sBLwUTZ7GWtWyIahu/nX89edrzu4yauJt+RI0dw5MgRhEIheDyeq16fMtQELquEeqeMWRpFvi5ccsxvTCxN2Ue11lDnZajXs8nT5gZv3AFY3fOZ6grbB2AY6XXLlnSJh6dp/W8K2MZ+hXPKUBNSsWZjScjhS2hxami44ZWwd76sIoNpAHjsH45AmB8wF3XX4fqXvNXcBW0CBdQEANDitkEzOIxqOH1eKoIMLjtLtjFRrdKSDwgLAfW6n0uLM11TbfMA4SvpILUS6Kn0eh1e8KZrAUfdBu9og1n5vE2JFFATUilmYwko4YtocYtouPHVsG+9DawEZ0iLQUul4PnhlxYO3HnUvMUUAAXUBEC6J7XbIiFEmxPXhSvepSOzi6QWaqg39Fwq9nRQ7fDPB9Vlvh8gGQOiM+Bqa3rdm6l53GCGmmqoCak8wWgcytzzaPHZ0LjntbC1vQBMqNwyzce+dAxSPN1lKOGwY8+vvdfkFW0OBdQEAKBIAlrcVsxRQL0u6QEvKMnGuGqtoeY5NdQbLp9RbAvTBMOTgF6Gr2M+3+4vGQX3dwD1Hfm1zBvBsv9ZHxrsQkhFCUaisIQvoLXRg4Ybfw2W5j1gG31DXSZs378/+3HshYchipX75gCggJrkaHBZIAkMSa1CTpuXAS7Z0wFhCcaQ59VQx6voeyRuouQjl2xJB9WeJiAylS6rKAeGAcRm04G+pKRLPOq2bDy7nIdhY5sSczPU1IeakHIWDIdhiVxEa3N9OphuvL7ig+lTXx2AJRIBAGhWBTf/xoDJK9q8yiy8IUWhWmV47Qpm4ynUOy1XvwEBRDsg2NLdKcTiPmcuhWXDp6oq+VhPH+qrkRRwfwBgIljoEgADsLgA2XrVmxacYQDxOUCLpzdQ+rYCDm+63V+hFGBTItVQE1KeODhmQ3OwJSbR0tqM+utfBcW7A6wSOxot9shCAB288W5IcmVuqsxFATXJEgSGLaoVp59NgHNeHT+0xcYEGIoKIXq+6A8lCgweC0MwwasqoMZ6+1Bf9f4koL4D3OkDwlNgkan0uHLFCijO+VZzRWTo6UBaTwI2D7h/23wgXYRftxst+aC2eYSUNQ6OUDAImzaD1q1bUb/7lZA926ri7/JPv/V52GdnAACGLOIFb/2sySsqDAqoSR6fXYFDFhFJ6nBa6OWxJoobLKJt5MT7ulVjQM0LVfKRiwmAXU33q042A5EZsLnL6Z7VTASsrs3XLy9m6EA8NB9I14F7OgB7kQLprI2WfOS8iaGAmpCywsERmp6C1QijLbAd/l0vh+xuN3tZBRP+1/chM31j6tqX4zq709T1FApFTCSPwyKh0WXB08EoBdRrxEV7Okjjevr/RZSpow6ngJTBIQuVn63ILflYVx/qtVLs6U4g7kYgNpsOrKOzQCwIKI705zeT9TH0dAbcSAE2FdzTmW6DV4pWVhvu8kEZakLKEecGZqevwM4SaNuxE/6dd0Jytpq9rIJ5cvzrcE9dAABwkaH77X9r8ooKp7Kr2stEMBjEyZMn0dnZafZSCqLJbQXnDJpRPVnQYuKSHVwozYCXqmydV4wM9bKPIwFOH3jTTvDW3eDe9nTnjbnLQHRm/Z1BdA2ITKf/WZ3gzbvAW3alO42Usi/sRt4MiDJ4plSENiUSUhY41xG6chE2MYX2a3bDv2t/VQXTAHDpoT/Ifjy17YVw1TWZuJrCohTkJo2Pj+PUqVPwer2YmJgwezkF4bXL8FglzMVTqLMX+LR4NRKt4JIDTJsDlxxFfai84S5xDr+tqA9XErmbOZlRgiE5jKVLPqwucE8TEJ0Fm7uUzlivZ9oiE9I10p7mdHmJGf1gM8E05+sLrBlLt85LxWlTIiFlgBs6QpOXYLUCW6+5Ef7AbRAdjWYvq6Ae+/LHUXfxSQAAF4Cdv/M5k1dUWBRQb1J3dze6u7urJpgGAFkUsMVjxU8uzqFuEzMnaglXvBASk0Wvo67GXtQbHj1eCJIFcDeAu/xAPLz+gNriMCeQzl0D2PoDagAQFSAVp5IPQkzG9RRCkxdhs8vYeu1N8HXcAtFeb/ayCuriuR/B/rUPZS9Pdt6O3W27TFxR4VFATZbld1pgkSKIp3RY5cputl4KXHaCl2BbosdahSUfmxk9XihMAGzuq1+vLG1wY6JsTW+ipICaENMYWgJzk5dhd1mxdedN8G59IUSbz+xlFZSWSuHZz7wU9vkZFzGXGy86OmLyqgqvogPqYDCI/v5+qKqKgYGVm4KPjo5iZGQEnZ2dCAaDAICjRyt7ZnyxeawS/A4FVyJJNFFAfVVcsoMJMriRBITilclUYw01L3TbvFrC2MY3VGY2JtKkREJMYSSjCE9Pwu5xYNvOfahr3wfRWmf2sgruu59+FepD6TZ5XGJo+t+jkJXqm3VRkQF1f38/JiYm0NPTg9HRUfT29q543ZMnT+Khhx7C8PBw9tjo6Cj279+PkZHqe4dUKIwxtLiteG42Tj2p10K0gYtWMD0OXsSAuhpLPiAuPF+mZagrVbbkwwCwvje+XLKAAWCGlu5UYmbpCiE1xojPYi44DYfXi23XvRh1LbshyMXdg2OGH379s6j/2SPZy3O978PuHT0mrqh4KrLLx8DAAIaHh3H06FGoqrri9YLBIA4dOoQHHngg73hvby+mp6dx4sSJIq+0svkdClwWCXOJdXY/qEWCBC57it7pw1ONATUTs29CKKDegI2+16Xx44SUHucwwpMIB6/A3tyOzp7Xw9u2tyqD6annJyB+OaerR/uNeOFvfMLEFRVXRWao1+rhhx9GIBBYNui+5557MDQ0hL6+PgDprPXQ0NCa7jc3213NrLKIZrcVZ6cicFsrfyxosfH5iYnFDHPVKiz5ANK9qJmRLEnrweoyX/LBNzLcZVEvaqUKWsYQUs4MAzx0EeFEDNatN+GaG14Kt9ps9qqKQtd1PHn8VriSOgAgYbfj5mOPmryq4qrqgHp4eBher3fZzwUCAYyPjyMYDEJVVfT29q5aOlKrGl0Kzk5GkNINyGJFntAoGS7ZkT39vtGBG1dRjTXUANK9qLU5MKqhXp9MyQdNSySkvOkaePA8QlyEbfuLseu62+B0VupG6Kv77l/fDf/0RQDpAS7ud3wVliqZiLiSqo6QTp06hUAgsOznMserqd1dMdTZFNTZZczGqezjarhoT2+wK2Lrt6rNUM9vTKSSj3Vi2HCGmtO0REJKQ4sDM2cRFF2w7nwtum66s6qD6Se+80X4f/iV7OXgbe9E543Vn7Cs6oA6k31eTaEC6kz3kGojCgxtqg2R+dM2ZBWiDVy0FzUolEUG+/x5pWC8egLq7LTEUvehrngM2T7U65VTQ03DXQgpkvgsjJkJTNq2wn79G3Dd7n1wWKuvw0XG3MxF6P/41uxJs5nmHbj1dwdNXVOpVHXJx2oygfb09PSm7mdiYgInT57Mdgw5ePAgenp60NfXd9VgHgBCoVDeZYvFAoulvH7YfHYFdllENKnDrlAngBUxBm6pAwufK+rDqFaGaJhXz6ZEpGuoAYBxDTC00o7urmSbKS3K25RIATUhBTf3POLRWYR8e9Gw605c09oIW5W3of3JvS+CGk8BAFJWC256//dNXtH6JRIJJBILvxMXx2krob9amxQIBHD06NEN97Vua2vLu/zhD38Yf/qnf1qAlRWOyyqh0WnBs7MxCqivgksuMEMv6sZEj4XhQpgjlOQwOIdQBS0Nc8ePw0hQQL1WmZKPDQ12oS4fhBQFN6BPPYk5Q4bQ8Qrs7LoNrR47BKHyf1ev5n+G3gbfpXRCiQuA5a3/CIe78obU3HvvvfjIRz6y7tvV7F+tTInGSpsWS+X8+fNwuxdqqcotO53R5Lbg6WAUusEhVvkvhU2R7IAgFzXLmtmYaHAgnATc5fmSWR8xd1piDFyq8BZSnIOlguCiHRCL+Q0qTMkHDXchpEC0BBJXfoWI0gjPDa/Ajh03wWWt/lDrydP/Ce8P/jZ7eWrvm3DHLXeZuKKNO3bsGN797ndnL4dCoSXJz+VU/3e5zLnd7ryAulz57Arc1nRPatVGLfRWwqXMxsQ4IBRnR/Pi4S5uS+W/weF5AXWiBEPci8hIQYhfTtfTJ4PgtsbiPRYT5jclGuu+KV9UQ13RzzkhZcCIziA6/Sy4vwvb9rwG7S1tNZGAikdCCD/4Rijzv4ZC/lbc+s4vmLuoTdho6W1Vb0oMBAIrbjrM1E6v1AWE5FMkAa0uK+ao28fqBAVcdhZ1Y2L+cJf1B1LliAs5LdwqudOHFgGLX4Jha4Hh2JKuCS8mxtJBdSH6UBNCNshAYvZZhIOXYQ3cjt13vBkdW9prIpgGgFOfeBGUaPr3tq5IuLb/exDF2isPreqAuru7e8XuG5lAu7u7u4QrWqqnpwddXV0YHCz/XbANLgtkkSGhVUcQVyxcritqP2XVsvBjWzWt83LKIiqyFzXnYPErELQIDHcXdPU6cNmd/VxRCeKGMtS0KZGQzdO1BMKXJ6AlDDTd8FrccMuvo85T/medC+X7X3gvvM8+kb7AAP6m+1HX0G7uogpkcHAQXV1d6OlZ26j0qi752L9/PwYGBpb93NmzZ8tikMvY2FhFlHwAgMcqw2tTEIyn0OCshsLd4uCyff4DPr9hrLCqcbhLbslHxWWoDQ1C/BK47IHm3gFubQAw35dcUAAjBYjKVe5kEwSZAmpCTJCIBpGYvQS7qwltN70S9duuA6uCTeJr9fSZ/4H7G5/OXr6y+1V48Z1vM3FFhXXkyBEcOXIEoVAIHo/nqtev6gz13Xffjenp6WXLPk6ePInDhw+bsKrKJQgMW+psiKcM8GJn3SoYlxzprhVGcTon5NVQV0sv6twMdSUF1FoMQuwiDFszNO+N2WAaQHqjpaCku5YUERfFDQ52oS4fhGyEYeiYm34G2uwl+FtvwK47fgMNHdfXVDCdSiYwNfhqMD39uyes+nHbu//N5FWZq+ID6mAwuGIvaVVV8cADD6C/vz/v+MmTJxEIBHDgwIFSLLGq+OwyHIpEg15WI9oBwVa0wNCzaFNiNcitoWYVMtyFJWcgJIPQ3Tugq9cB0qJNqIIELjmKX8IiSBvLUOe0zWOpCnoTQ4iJEoko5i49CSuTsHXPq3HtbQdh920xe1kl9/1774A1HAYAGLKIbe/5Tk3WTeeqyJKP48ePY2xsDBMTE9l/+/fvh6qquOeee/IC5QMHDkBVVfT396OzszNbU50ZxGK2np4eiKKYPbVQ7uyKhGaXgnPTUTgtFfnyKT4mwFBUCNFnAVz9NNF6eaxVXvJhlHlwx3Ww+GVAsEKruwHc1rxiaQ+X1XTHj2KuR5Q2Vqed285Ppww1IasxwBGZvQJh7hL8TTvRvucVcDR21lRWOuOxL38c/onHspcTrxtAQ9suE1dUHIODgxgcHISury2BWJER0XqHqPT29pZFvfRyKqmGOqPRZcW56Rg0g0OqkV3M66a4wSKpogRSahXWUEMs/ww15xzQkxATl2FY62G4rwVX1NVvI9vBi92QjonY/GCX8nzOCSkHKS2F6ORTsIsCGq/fj+aul0CyV9bf7UK5eO5HsH/tQ9nLk9tvxR2v+2MTV1Q8662hrsiAmpjLa5eh2iTMxlLwOYq42aqCcckJMDm9IU0obN/uxX2oqwEv8xrqhKYjODsNxQijrmE7dNf2vDcBKxKtYEwA5/p84FsEwgYr93I3StJgF0KW4OCIzM0As8/B59+CLTe9Cu7W68A2+jNX4bRUCs/++Uthn+/0FXO5cUv/IyavqnzU5quCbIokCmj1WKmOehVcdqX7UWvhgt+3TQLk+Z/cqslQl3Ef6nA8gUjwObS6BBie3Zix7FhbMI10KQsXlOKWVGz0lLMggIvpN3uMNiUSkielJRG6dBZKbAqtO2/HNS95GzxtN9RsMA0A3/vMq2GfnQEAcImh8V0jkBXq+JVRu6+MMlFJfahz+RwWWCSBelKvhIkwLA1gWrTwd81YdmNitXT5yMtQl0kNNeccM6EgjMgFdDRvwbU778C2rbswEzOgGWt83gUruGgr7te0mcx3ptOHVh7POSHm44iGLiN+8Veo8zRi+61vxtYX3AXZ5Td7Yab64dc/C//PRrOX53rfhy3X3GziioqP+lBXmEqsoQYAt0WC25IeRW6RqOxjOdyiAnMMMPT08I0CUi0MkzGO2QQH57ziN8bk96E2v/zA0A0Eg8/DJgHbOrvR1LITTFTQbjVwJZzE5bkEWjxryFIzBi57wKLPFm+xTACwwe+/ZAESYWqbRwgAPRVFZOYCFIho6nopWrvugOLymr0s0009PwHxy3+Q3aox1X4jbv+NT5i7qBKgGmpSEoLA0OKx4kcXQoDD7NWUJy570m3T9Ai4UNg3Tep8p4+kAcQ1wFbYMu3Sy9uUaG62NJmMYS54Aaq7AZ2dN8FT15p9wyKLAnbUOzETn0E4oa2t043sBONa8bYmCkI6nt7IIKFshtr8NzGEmIUbGuLhy0iFQ3D5tqJt98vgbd8FJlKIpOs6njx+K1zzJZ4Jux03H3vU5FWVJ3q1kA2rs8lQRIakZkCRqHpoCUGGYa2HEHkakAsbUC/uRW2TKzxDLeRuSjQpuOMckfAkEvEIGpt3YnvgBlitziVX8zkUBOrseOJyGDZZhHiVTjfZ7HuRJmdmM9TcWHf5B5eUdG5bS87fnn6OSS3hSMVnEQ1NQREsaNn5UrR13UpZ6Rzf/eu74Z++CADgAuB+x1dhsS/9vUgooCab4LHKcFtlhBIa/FT2sSxu8YKFz4EXOFhZPH68ucJ/v5ndh9rQEwjNPA9BdiGw40VoawmsOqSgw+fAZDSJy+EEmt2rl35w0VbcEeSCmA6kuQFgnaVF863zGDigp/LHkRNSxfRUDNHwJFhSg9cXQGvX7VC3XENZ6RxnHv0S/D/8SvZy8LZ34tYby7MFcTmgdITJKnVTIpAu+2h2WRBLUbePlXDZAy7aAT1W0PutummJJrbNS8VmMDP1HKzuNnTtfjG2te246sQvRRJwTb0TDEAkqa3+ANkR5MWqU2aAwDY/3IXKPkgN4IaOyNxlhGcvwy7Z0bH7Jdh1+0HUbe2iYDrH3MxFaJ9/S7ZueqZpO25929+Yu6gSo02JFaZSNyVmeB0KRMaQ0g3IIr0/W0K0prPUsYvgUuGKzeuqbbgLk8GZAMaN0rXNMzREQ88jqstoaOvBjq3XwGZZewa53mlBwOvAz66kSz+Elco5BBlcUMCMeHHqqAUhffZjk+PHaWMiqXbxeAjx6CxskNDUdA0ad9wMe1MnGJ1hXeIn974IajwFAEhZLbjpAz8weUWlR5sSSUl5rDI81nS3D6+dfiktx7D4IUbPF/Q+qy5DzVi6F7UeLUkNNU/OIRS6AsPWjM4dN2BrQzOEDUz9DPjtmIwmcSWcRKNrlXIJyQ7E5zax4lUwEeka6g28DnJLPGi4C6lSKS2BaHgaImdosPvQ1HEDXFtvgFTjrfBW8j9DvwvfpXMA0nXTlrf+Ixxun8mrKn8UUJNNEQWGZrcVT1ycg9du9mrKE1fcgGhLl32ItoLc5+Ia6mrARSuYHi1uz2auQ4tcQjDO4fBdjx0dXfC7Nv7CtUgirql34rFnZhBJanAoy/9K5ZITgvFs2WWoeU5mjmmJYg9JJ6SkDENHNDwNXU/BY3Gg3r8F3m03QWkIQJBpv8Byvvv374Lv+3+XvTy1902445a7TFxR5aCAmmya165AYAyabkCiso+lRAe47AZLzoJTQL2i7HCXYmWotShi4cuYgxdNW6/DjrZ22OTN9wdvcCq4xu/AE5fCUDzC8qVPxdiMmMGEdFCtX6WWezkS1VCT6hSNzyEVC8GmOFDv8cPXugu21p2Q3A1mL61s/c/Q78L3vYVgera+Dbe+8wsmrqiyUEBNNs1jleCxpcs+6qjsYynGwK2NEOKXCpYBVHNLPuJVMq1yvtNHwUs+uAEen8RsNAHduQM72ndhq1/dUInHchhj6PQ7EE5peGYmji2qdUk9NReK/HMhiICWWv/tKKAmVSY5X96hiAqa1Sb41AbYW3dCqe+EoKxhGFON+s5fHoB//MvZyyF/K/b+2c+vukGbLKB0oskquctHhiQKaHJaEE5St4+VcMWT7vSgF2bjl2pd+NGtihpqLPSiZkZ8YxvslqPHoYefxeW4CLlhH27atQ8dDXUFC6YzJFHArgYX/A4FF0PLBKaCkq51Nor0MyLIG3vOKKAmVULXDcyGJpEMT8NndyNQ34yWti64r7kVlpYuCqZX8e3jr8wLpmeaOrHvvnNQrLVdx0ldPipMpXf5yPA6FAiTDJrBIRU4WKkGXHLCkNxgWhhc3PzQAJeS7pRm8Oop+UBeL+pk/uX14hwsOY1oPIaguAUt23bhmub6gpR4rMSuSNjd5MKp87OYjibzNulyQQEXZIAnARSm7CcXF6V0h5T13o4CalLhODgi0Qj0xCxcFht8zkao9Vth8Qcg+9shKIX/easm3/mz21H/q4XJh9NbduOWj/6IMtOgLh/EJKpNhtMiIpzQoFb8HOwiYAK4tQFC6Aw4Nh9QC4zBrTAEE7xqAmq+aPw432hAbSSB2GVMpawwXNfh2i2d2OZ1FDwrvRyvXUFXoxPjz83mb1IULekssqGte/bKmgjiptvmMS1JmxJJRYknE4hHpmEVgUaXFz5/G2xNOyD7t0G0ucxeXlnTdR3f/UgP/E8/nj02GejBrR/8PgXTG0QBNSkIWRTQ5LTiV5NhCqhXwBXP/Gl/DRA2/6PnsVRZQC3kBNAbrKNmySC0RBiXeT1cjTuxs7URfkdpd/O3eqwIJzScyd2kyERwwQKmRYoTtErKxgJqkdrmkcqjaSlEwtMQoaPBZofP2wJnyy5Y6jsgOmls+NVoqRR+8KHr4b/wi+yxKztfihcf+4aJq6p8FFCTgvE7FPxqkkE3OEQq+1iCy25wyZUOqpSrnz66mkynj3AKSOkcsljhz/miaYnrCjwNDUL8MsKGgmn5WrQ1d+KaRndRSzxWwhjDdr8DkUWbFLnkBEsGi/OgG+0ikjvQogT9vwnZDIMbiEamoacS8MgK/Goz1C27YWkIQHQ3gK00XIlkpZIJjH3gWngvP509NnnDr+HFf/yvJq6qOlBATQpGtclwWUTMUdnH8gQJhrUB4tyTBQmoczt9zCY5/LbK/mOSV/Kxnl7UqTnwxCwucR8MVye6Wlqwrc5ekhKPlWQ2KUaTBi6GEmjxWAHJBsb1ImWoLen2eYaeLv9YK5ky1KQScMRjs4jHwrBLCvxqE3yt18LWfC0ktQlsPa/5GpaIhvHDD1wDdfr57LGpm38Ddxz5oomrqh4UUJOCUSQBTS4rnpyKUEC9Aq6oADjA9fkJdxuX14s6zuGv9L03ueUHaxk/buhgiSuIpBhmpE54/QHsaPKUvMRjJdlNis8EMR1NwidYgGJVKUsWQJIBPbWugDp3UyKjTYmkDGnJMCLhICQmodnpRX3LNXBs6YJc10Ijw9chEprCmT+5Fq7gVPbY9O19uP3tQyauqrpQQE0Kqt6p4MnJCHX7WEG67MMJaFFA3tymGbXKxo/n1lCv2ouac7BUulb6il4HSd2BXS2taFNtyw9VMZHXrmBXkwuPPzeLqCDCDaRHhBf61LSkpMs+9BQgr2MzJ3X5IGVK1+KIhWegGwbqbG40NnXCs6WLOndsQGjqAn714S445mbTBxgw2/se3PZbnzR3YVWGAmqT9fT0QBTFbHuWSldnk+G2SpiLp2jIy3JECwyLD0L0PPgmA2qPtcoC6tyuHitlqLUIkJhCUHMgat2FpoZt6Gxww20t3zMiWzxWRBIafv7cLOxchMA1gBV4vYyBW5xgc1fWd7u8gLowPdIJ2QxupBCPTiORSMIp2VHfshX1W6+DUr8Noq3yW8yW2tTzE3jmYzfAFokAALgARF7zEdxy4EMmr6z8DQ4OYnBwELq+tvkBFFCbrFr6UGdIooBWjxVPXJxDXW33hF8Rt/jAwk+BbzJTWXXjx3M3JRqLsqVGEkJ8CjGdYZJthbt+G25sakCTy2JqrfRaZDcpxt2YOgf4lCQEoQhvABQHYDx/9evlyguo11G3TkiBcUNHIjaDeDwOi6BgS30H6rdeB0fTdurcsUGXnnkCz39iHyyx9M82F4D4XZ/Bza/9I5NXVhmoDzUxnc+hQBQYUrpRdqfgywFXPOCSHdCjgOTY8P2oVRZQL+5DnT5ogCWnYaQSuMS90B3b0NnUim1eO6wmdPDYKEkUsLPJj59eciEYnoO3buPf9xXJGzgjJErgTADjBhhlqIkJODeQiM0iHotCFkQ0elpQv7ULntZrIbrqwQT6G7IRz/1qDJOfug1KPP1zzUUG7TdPYG/v201eWfWigJoUnGqVodpkzMY1+B1U9rGEaAO3eMHil8ELFFBXRcmHsGhTYmoOQjKIEHdjRg6gob4d2/0u+Cr0NeWwyOho3oJfTvwYoXiq8GUqkiXd31zXAHEdv9plK5CMUg01KTGOeGwO8UgQChPR6PbD37oTnrZdkDxNYOt5DZM8537yTYT/6uWQkxoAwJAECL/zj7jxtjeZvLLqRq9YUnCCwLDFY8MPL8wCRUjEVQPDUg8x+uymNqhVX8nHQoZaiF9BKpXAZXTCorbhhkYvWj1WSBV+xsOr1qFdVfDLqIFIQoPDUsBfwZIFEOc7fawnGJEUCqhJScXjYSRCl6BwhkZvK/xtXfC0XAPJ00idOzbpV6f+A4n7Xw8xla77NWQRlnd8FTv2vcbklVU/CqhJUXjtMiySgLimwypVzqn5UuGKBxBt6UystLEd67kBdTBe+QE1z9moFzVkXLbegLb6BgR8DjgLGXiaiMkO+Jw2BCxWPDkdB2MMdqVAPx+inA6qUzEA63hNZWrXqeSDFFk8FkFi9gIUGKj3bUVjoBvulmshOr3US7oAzjz6EIy/+00IWnpqqq5IcL7rv9Fx/UtNXlltqI6/UqTsuK0SvDYZM/EUrE76RbmE5ABXVLDENPgGA+qqqaHmHCw1C+jh7CHJ4sTejjY0uixVNf1MkBwQJBuaFECDHeemoxAFwFKgN53c6gCLh9Z3o8xwlxRtSiTFEYuGkZp9FgrjaGjoREPnzfC07oJo21ynI7LgR6MPQvpiHwQ9/bcgZVXgf8+jaN3RY/LKagcF1KQoGGNo8VhxIUR/pFfCrQ0Qohc2POpDFhkcMhBJVXBArcUgJKeQEuwISjvgnD/caNXR6F5HP+UKwSQLmOwET4bQpvqgGxxPz8TgdTAohShnke0AN9Z1Ey4pYAAYN9Zff03ISjhHbG4aqdAlKJKI+uYdaLzmhfC0dEGQy2P4UrU4/e9/DuuX3w02/6OftFnR/P5TaGzfbe7Cagz95iRF47UrsCsSokm9cKe1q4gheyBI82Uf4saCR4+FIZLilbcp0dDAEpMAGKbEdszJLWh1LmSomR4zb21FJli90GOXITKGbV47dIPjfDCGeqey+RrxTBu89dTmSzmvPS1BATXZHENHInQZifAVyFYX6gN70NS5F+6WXRCorKPgHjv5UTj+48PZYDrhcKD9T34MX3PA3IXVIPrNSYrGaZHgd8i4NJeggHo5khNccoNpofyhJuvgsTBcCHOEkhwG5xAqoDyCJabB9Biicj0uoxVOVz321DvRKIXw3Px1uBYxdY3FJCjObBZZYAwdPjt0znFhNoEGV7rl5IbJ8xsTDS39/7XI3QSmJQAL7SQmG6AlkAheRDI+C9HpR33XnWgK7IHHv7WqyrbKyfe/8F54Rj+FzGnOmMuDHR85A7evxdyF1SgKqE1WbZMSF2tyWXE+GAfnnH6pLsYYuK0Rwswl8A2eAc1sTDQ4MJcEPOV8JpUbEGKXYIg2XFK6kJDr0eF1IuBzwGGRYKQWShWMVBVnqGUHmKCA6ykwUYYkCAj47NAMjstzSTS6lI0Pq5GUdCCtJdcRUNP4cbJBnEOPzSE1dxFJXYPgaYVv50vQ0nETPGq92aurao8+0Afvow9kL4dVP3Z/7OdwuH0mrqq60KTEClNtkxIX8zkUOBQJkaReNZ0aConLHkBUAD2Z/v861eVtTDTgsZTpmQBDgxC/iJTsw7OsA6rbhxsbXGhwKtk3WixncyZPVW+Gmkl2MMkKrsfA5oNeRRSx3WeHYXBciSTznpd1ESRAtgHxuTXfhOcE1ExLbLimn9QOrqeQnJtGMjIFSApkfyea2rvR2N4Ft5M2GhaTruv47ideDP+T380em/M246aP/xIWu3OVW5L1okmJpKzYZBGNTgVPB2MUUC+Dyy4YkgdMC4OL6x+v67Es1NwGExzthVxcoehxCPFJzElNuMw60F5fh531riU9mBkTwCQbuBYD16ImLbb4mCiDKW4YsUlAWXgzbZUlbPc78PPLYVyJJFHv2FhQzS0OsMj02m+QV/JBrfPICgwDqXgE8fAUkIxAcqqo2/4CeLd2w9+4DbJSzqfHqkMkNIWffORG+Cefyx4LNmxFz8d/Qc9/GaAIhxRdg8uCczPRiqnxLSkmpLt9hM6AYyMBdZm3zkuFwZJBXBbbkLQFcH2Dig6fY8U6YSbZwbUYjFT1BtQAINq80MPPLTluVyTsqHfi55fnMBVNwu/YwB9J2ZbelLhWuZsSU1TyQXJwA3oiikRkDslEFLIMOL1NqGu9A7726+HwNIOxyh62VCmen/ghLn7qNrgjC2fvJnfchluPfQuiWKZnJmsMBdSk6Lx2GS6LhLmEBk+hxy1XAW5RASYBRgoQ1vf8lHNAzRLT0LUEnmedcKgBXN/kQaNr9QCRyXYgPlXVGWog/cYBwLJ7C1wWCdf4nfj55TBmoknU2ddZCiTKAMPaO33kZqh1CqgXcIDr6Z/NWsIN8FQMiUgYiWQKEDnsDhvqt+2G2nwd6hoDEK2q2ausKU98+wvgn38rLPPTD7kABG//Pdzxu4Mmr4zkqrHfFMQMFklEk8uKJyfDFFAvg8tucNmVLvtQ6tZ1W7UcpyVyDha/hJgh4Yq0Ey1NW5ct8ViOINmhAzCquIYamN+YKCrpAFZa2uHFY5Oxoz5d/hGKp+Bez8+NpKTfmK2x0wfP7QlMGeo0LQE292y2a0p6smn19UXP4hxIxaHFwoglk9AEBRabBf4GP9SGdtQ17YTF1QxBtpu90prz/S+8F+5HPgVhfs+2IQvQ3zSEW3vfbu7CyBIUUJOSqHcoODvJoBkc0mbaglUjJsKwNkEM/Xz9AbU1J6Auhwy1oYPFL2JGsyPuuBY7W9vQ4bWvub8ym/+DXQsZaibZwPUE2DIBNZDu477db8cvr4Qxl9DgWuseBElJ95LW19g6jzYl5jGSYSQnzyHi2AYDTtiiV6DMPQNZZmA2P2BVkT4FUOHmg2g9FkIyEUWCC5AcDjgbGuD11sHjb4ejbhtEe0P6zR8pKV3X8einXoX6MyPZY0m7Fb4//Cbarn2hiSsjK6GAmpREnV2G2yphLp5a/ynsGsAVDwCWzioKa/+xLKuSDz0JHr2ES4YXFv9u3NTSiKZ1Tjtk8nwPZEMD15NV+4ecCSIEiwotfAGCZeXd4w1OK3QD+OVkGCJja+vnLsrpoFpLAFjDWHtqm5cVD00hFboAacs+bLv+1dC4gNnpSUSDz4Ff+SXY7DOQJs9DlO0QbF5IVhtEyQIIlVBHzAE9BSTnwOMhaIkoEpChW92wNXVii68Rdf4tcLpUiLITgtULRoNYTBGPhDD+kZtQf+lc9tictxFdH/ohXHVNJq6MrIYCalISsiig2WXBzy6HUUdnDZfgsme+7CMyH1yvTdkE1FoUifAVTAktqG+9Drta/Bvq6iJICy8OIxWFWKUBNQAIFhUIPX3V6zW5LNB0AxPTUQgMsMpXD3K4YgdLrLFshgJqaLqByPTzUPQ5+LtehvYbXwW7df7NYLMPSW0HIolbEZ69hMjlCUSe/xlSs88hFpuCxhUwQYIoCBAUC0TJAsligWjmxEmupyewphKAFgXXEkilktB0hqTkgG5vhtzUAV9jG+r9jahzqRBlK80KKAOXz/8Mz973AqjhhdaXkx09eNEHvgtJppLJckYBNSkZv9MCcTKClG5A3uyI5WojSDCsjRDnnlxXQJ1XQ21WQJ0IYi4SQszWic623ehscG94hDbLqdFMT0tUC7PGMiQoTgAM3NBXzQQyxtCq2qBzjnPTUXiFdN/qVSn29NmOtcgLqGurbZ4BjrlYEmz2AlQ70LT7dai/5vYl3w9FEqBIFtQ52oGWdvAbbkd07iIiV55EbOZpxMJziCcSSESj0GMxJMMaDAPgTABkK0RJgaBYIEkKJIFtYBqmkZ6uyec3SnI+f0xLf8/0JKCnwLQkDD0FjYtIQUJSsEGXPRBsKkS/HzZvMxr8bXC466Da5DW9OSOl8/Mf/DNSn7sb1uT8zy4Dpl74v3DHO/7e1HWRtaGAmpRMnU1GnU3GbFyD31G9mceN4oqKhc4Ca/tDZ5MAWQBShgkBNecwopcxHdcg+67H9e3XotmzhhKDVbCcDDWv8tZ5THZCkGzgehxMWH3ct8AY2uvs0HSOZ4Jx+ByAIq3yGpEUrLUYevFgl6pmZAJTA7FkCtF4Cm59Br56FxqveyVsrTetqQ0cE0Q4PK2wu1tgJGahx66Ap6LQkxEkYiEkoyEkYxEkYmFo0VkkYtNIhpIwdB0xzmAIFhiCAsgiJElKB9mMQ2ILrUU55iu1uQEY6SCaG5mPkZ60CgkppiApOJEQbdBtKmD3QrZ5YHOqaFZ9cNidcNossCsiJTLK2P97+MNwfv1jEPX0Dy6XGBJv/Axuf80fmrswsmYUUJOSEQSGLaoN48/Nwr96/FCTuOIBl5zpsg95bdMzGWNQLQxXYhyzpezywQ0k555DMGWFt2Ufrm0PwGXd/K8TQV54YVR9pw/JCqa4YCRDgHz1HwiBMXT47GACw/lgDC4LVq6pFmVAYOlg7GoBYt5glyoIqA0dSETmv5ZFPxNMAJiAcMoAh4Atdh2q2gj3zlfA4t+57pIHxhhEq5rXRs7GDUBPgRspcCOdOTZSMWixIOLhIJKRGSRmLyMZnUUqlUIiqSGRYkgwBRHBCp0zgOtgAERRhCgqEGULJMWKlOhAXHIgxuzQRSuYbIXFaofDZkeLywanRYJDEeFQJCgSBc+V4tt//uuo/+FXs5dTVgWuI1/D7hvuNHFVZL0ooCYl5bMrsMsiokl9bRusaomgwLDWQwyfW3NADQAe63xAneDL9jUuNK4nEZl9HgmxDls7uxFoaS5Y5isvQ63FCnKf5Uyw+aBHL635+qIgoMNrhywwnJuJQud8+e4fopIOqnUtP2BeTjW0zTMMIBUFkrF0722LA9zTnO52IgiAIKbP+jABM3EdgiAi4NbhtYtQ6m+A7NlasKUwJgCSBQwLz6sIQFbzt4gaug5ocRiJKPR4BLFoCIm5aaS4gKRoR0KwIsJFhHURUS4jwWTIsgKbIqDdpsBjk2GXRTgUkUo3KlQyHsVjH9mL+gs/zx6LeLzY/sHHUddQlnNvySoooDZZT08PRFHMzoyvdi6rBL9DxqW5BAXUyzDsWyDELoIlZ9dcS52po04aQFwDbMXat8I5jPg0ZsIhKK4t2NW5F811akEDeCGvhrq6Sz4AQFBc4Fh+wMuKt2EMbaoNiiTg7GQEM/oyw18yvaj11NUD6twa6koa7DLf9g3JSPpjxQbubQNsHsDqSgfReVfnmIomodhEbHdEodrtUPzXQXK2mLJ8QRQB0QHB4oDkrsdKI48MgyOhG0hoBhSRwSaLtHmwCkw9P4Fzn9gHb2hm4Vjb9Xjhh8ZojHiZGBwcxODgIHRdX9P1KaA22djYGNzutWcjq0Gz24rzwRiNIl+O7ILh2g4x+BNwyb6myYm5nT5mEhw2uQjPqR5DMnwZQd2OupZ9uLZ9B9z2wv/SZ3ldPqq75ANIl7gIkmXFAS8rYYyhyWWFLDA8ORnFlXACfoeyEGgJYjpQXkunD1EGBwMDr4wMta4B8VB606VsBXc3AQ4VsLpX7LvNOceVcBJOWUSnMwK33Q7Ffz1ER2Np174BgsBgE0TYKAtdNZ4c/zqi978O9kQqe2yy+yDu+N8Pm7gqslgm0RkKheDxXD3BRQE1KTmfXYHLIiOc0NY3Aa5GGPYWsMQUhNjzMOxXz56pi1rntTgLuBiugyWmEIqnEJXasbVjFzqb6ou2uYnl1BJX+6ZEIP31MtEOQ4tBXEdAneFzWCCLAn41GcGVcBJ+hwJhvoMEtzjAYsE1LELI9q1m5d7lQ0sA0SDgrAd3+dNBtLz6GztjPph2y0CnYwYuZz0U/3UQbb7SrJmQHKe+OgDbV49Bymw+FBmir/047njjMZNXRjaLAmpSclZZRLM7PYqcAuplMBGGKwCWnFlT6UexelGzVAhGPIgreh2kuutw3ZZtaPEUt1dtrZV8MCZAsHmhzT4FYH1TMjPcVhm7Gpz41WQEl8NJ1DtkiGK6XRu4sbY7kSzpYLWcNyUmIkAyAu5tB7xb1jQASTfSwbTXoiFgj8Hp3QbFu3O+ZSEhpfWd//Mb8J/6UnavrGaRYev7Z+ze9xpzF0YKggJqYooGp4KzUwyabmy4Z3E147IbhqsT4szVSz8WZ6g3zUhCiE8ixmVcEXegviWAXU11JXnzwxYNdqkFosUDja+xZ/QK7IqEnQ1OPDkZwaW5BHxOBYokY8298zJ11uUaUEdnAW6A13cCnub0xsOr0HUDVyIpNCgRbHMJcNZfB9kTAFvLOHZCCkhLpfD9j+6D/5kfZ49F3Sq2HRuDv2W7iSsjhUQBNTFFnU2GapUwG9fgo57UyzLsrfOlHxdXLf3wFGq4C+dgyWlAj2MSDYhZ27G9uRmdfkfJ+tfmDXapgRpqIN2PGkwCNzSwdYydX8wiibim3glFFHA+GEOdKMHGpHQbuauNkM5sTCy3gJpzIDINSAq4vxNwrq1MI6UbmAzH0aLMYqvXC2dDF0RnK23mIyU3O/ksfvGxPfAFJ7PHZpqvQc+fPg7FSmODqwkF1MQUkiigxW3FTy7OwUc9qZfHRBiuTrBkECwVWrGVXl5AvdFe1FoUQmIKmuTBBbEDdncLups8aHJZShqECFJtlXwA8xsTZTu4FgNTXJu6L1kU5t8AMTx9JQXGBVj11FUDai5ZwAAwPZVuQSeUwVkjQwciU4DVlc5MW9f23CR1HdNzUbQps9jatA32ht15faIJKZWnnvgOZv/q5XDGF96oTl7/Wtzxnn8zcVWkWCigJqbxOy2wSBHENR3W1aa+1bC80g/Rtmzph2rdRMmHoYMlroAxAXPWAC7zZmzxqdjZ4CrIoJb1YnmDXWojoGaiAqa4YcQmgXUE1FxPgusJcD29kVBQ3GCiDIExbK2zQxIYnr0sIhWNwe62QFztjVFe67wkIKx/g2RB6al0ZtrpB/d3AMraJnAmNB2zoWm021LY1n4drP5rIWxgsychm3X6Xz8N61ffC1mb33woAHOv+ADueNOfmbwyUiwUUBPTeKwSfHYZU9EUrC4KqFeyUPpxCYa9ecnn82uo17gJjRtgqTlAm4NhacAVYQuSYh26/A50+h2m1bUzaSFwqpUMNQCINh+0uWex3E8B5xxci4JrcXA9kR5ND4CJMphoTW+wM3To8UnA0NIjzRUXtqh2iI0+XL58EbMxDYIAOBQR8nLZ58XDXWQTg9BUHIjNgqutgK99xVZ4uTjnCMVS0KOX0eaxoWPbzbDUdaxpjDghhfadvzwA/+Nfzm5h0BUJ0u98ES980UFzF0aKigJqYhrGGFo8NlwIJUoy4a9iZUs/ZsDiV8BlT3oS3jyPZSFoWLWG2kiBaRGw+UCVSw4knLtxQfPBY7fhhgYnmtzmZvNqafR4LkF2gAkCuKGD5ZRncM6hR58HE5T0dZwtEBQnBNEKJtnS/0QZnBswEkHosSno4efT0xe5gTqHBLtLRNxux1Q0iVBCg27ocMgiLDIDw/zPXM7rydThLvEwoMXB/dsAtfXqtd8Aokkds5E46tgkmpqa0Np2E2RnQ/HXSsgiiWgYpz66F/7nf5k9FnO5seXo99DYvtvElZFSoICamMpnl+FQJESSOpzLjVAmANKlH7pnF4Tw0xBSM0AiBS5YwWUHXIoVAgMMvqjkg3NAj6WDaCMBMBlcckJ3bQdXPJgz7JhOiGj3WXFtvassnn9WY23zMgTFA9Hqhx69CNHRAsYYODegh5+DYK1LDyGxrtxWjzEBotUL0eoF93TAiM9Aj03CSDwBlpyFwyrC5XIi5rQjGNcxE00hHNZglQXYFRFCbkbajOEunKf7SzOAN2wHXA1X7eSR0g3MRFOQEUOnPYLG5l1wNXTlvSkjpFQuPv0TXDh+K+rCc9lj0y07cfOHTkGx0WuyFpj/F7QKHD9+HABw9uxZTExMYGhoCIFAwORVVQa7IqHJpeCpmWhZBHTljNuaoVsbYWhhsOQsWPwSWCoEUZ+CW3YhmGQIxjlYKgRoETBugItWcIsXhqUeXHaDy05wCLgcToJzjuuanOjw2sumdSGTamuwSwaTLFD8u5G4dBpG7AoEqw965AJEmx+K/3oIlrVPU2WCBNFeD9FeD8m1FTwlQQ9fAoMOqz6NJlmEzyMjrCuYjBkIxjS4ICHzVoZpibU22ysMbqQ3H8o2cH8AcKzej9swOIKxFPRUDI3WOJocMuqa9kJWOzfVJYWQjfrJt/4B+Me3wZqcH1HNgMnuu3HHux4yd2GkpOi3zyb19/fj2LFjUFUVAHDy5El0dnbi7NmzFFSvUaPLiompKHSDQxSo7GNVTJgPjN2AfQugR8CSIajWcwgmjfkaagbDsRVc8YLLLiCnc0ZKN/B8KI46m4xdjS40ugo/Pnwzcge7GDWUoQYAweKB4r8Oicvj0OaegeRshVJ//aYyroJih3XLHsSeOg3J0wiemoORCEJIzEJmMXjsKURkIKQslFYk43FI88PIi87QgfAkYK8Dr+8ALKsMXOEc4VgYscgsVIWj2euGV22H4mmH6GimkjFiikc/907UPXo/2Pz2FUMSkHzDp3DHa//I3IWRkqOAepNGR0dx+PDhbEB94MABqKqKoaEhDAwMmLu4CuG1y3DbJMwlNKg2GrqwZowBkhNccsLtuAKEQohoDLG6F0CWl/b2Dic0TEWS2Oq1YWe9C44yPCPARCU9Ac/QaqYPdS7R3gDFtxt69Apk3y4I0tq6W6xGcjdAtLrBk4l05tpWD8418FQUPBWFkpyF4HQic6Kax6cwHZqDRbHBbpEgFCtQ1ZJAdAZwN4L7ti0/QpxzQI8iFZ9FKBKDxepEoKUNzY1bYXV4wWQnBdLEFFoqhe99/Fb4z41ljyXtNnjf9d9o33WbiSsjZim/v6gVJBgMYmJiAhMTE3nZaK/Xi2AwaN7CKowsCmh1WfGzy2EKqDfIY1v4UZ5NAv5FT+NkJImUZuD6ZjcCPkdZnwlgkh08Gaqpko9ckqsNkqutYPcnKDbI3jYkLpyBaE+PsWdMAlPcgOKG6GiC7O3MXr/R6YDXI2F6bgpzcQ4mWaFYnFBkCUKhstbJKJAIg9dtAbztgJjzp4gbgBYFS80hpaUQ0izgFj8atm3BtqYWuJyewqyBkA2avvwUnvx4D/w5w1pC/lZc96HH4fTUm7gyYqaKDqiDwSD6+/uhquqq2eDR0VGMjIygs7MzG+gePXp004+vqipmZmaWHJ+YmMDevXs3ff+1pN5lwa8mI0hqBhSpPOp5K4knZyz4bDwF//z0Sd3guBiKw65IuH6LihZP+ffkFWQH9GSo5ko+iklSm5C8MgEjEYVgWTqdTcgptbDYfPBv64E/Pofg3DRmZi4hFptBOKzBYDJExQZZtkGRhY0F2LEQoKfS9dJqM8CEdCvAVARaYg4JTUOMW6HJfoiOBrjdPgQa/PA7FMpGE9P96vTXEDvx63DGU9ljk7vuxK3v/S+IIrV/rWUVGVD39/djYmICPT09GB0dRW9v74rXPXnyJB566CEMDw9nj42OjmL//v0YGRkp+NpOnDiBQCCAvr6+gt93NVOtMrx2BbPxFOqd5VXXWwk8OUNYgrH0L/qEZuBiKIEmlwVdTa6Kyf6z+ZrvWs1QF4No90BWm5Gcenr5gDqnywdPxsBEKxSHFQ2OetQ3dCIen0M0OotYeBLhcBDxWBhzEQ4uWCAKAmRJhCJJEJgw352DpQPlzMdg6cxzdAYQZfDGHYDTi1RiFsnYHJKajpRgh2hvhVWtR5taD4/TBZdFgl0RKZAmZeEHD/0JXP/1cUh6zrCWlx/DHb/xCZNXRspBRQbUudnohx5aeRdtMBjEoUOHcO7cubzjvb296O/vx4kTJwoa+GYy5qdPny7YfdYKQWBoq7Ph1Pk4bU7cgNxgeTauYS6uIRhLodNnx7UNTljlysmcZDYm1lLbvFKQ6lqRnH4GXEuCSfk19kzJ2QyazH/emSDBZq+DzV4H7t8KaDHEYyFEI9NIREMIJZKIpzSEojGAc4gChyIwyCKDyIx0HbShg0dnoCtOJBzNiCfCMGIRiBYXFHcnmtVGuD1+uO0OOCiAJmVG13U8+qlXof7MQhJOs8iwvv0kXnjz60xcGSknFRlQr9XDDz+MQCCQ3TCY65577sHQ0FA2oB4dHcXQ0NCa7jc3253r0KFDeOSRR6i7xwY1uSzwOyyYjiYpS71OuRnq54IxdDU4cV2TCx1lXi+9nGyGWouBc4Om3RWI6PRBcjVAD09B8jTlfU7IGe3NU/EV74OBAZIdNpcdNlf6PprBkdI0RBMpRFMpzEaTCCeTCCY1cINDMuIQ4leQcneC1XfCbrejySbB7XTD5fTBabNCqLDXKKkdkdAUfvzRPai/cn7hmMeLzg+cgrexw8SVkXJT1QH18PAwvF7vsp8LBAIYHx9HMBiEqqro7e1dtXTkajLt87q7uzd8H7VOFgV0eO0YOx+EZnBI9Ed2zTw5GepIUsfeLarpUw83iuW0ieNaLO8y2TgmCJB97dCCzy+ZyMhyAurFGeqr3i8YFEmGIslQAbSo6faMsZSO8OwMwnMJiC23QN26C267DU5FogCaVIRnfv59TP/lnfBEY9ljU9u6ccsHvw9pmU5KpLZVdern1KlTK2aLM8cnJiY2/TgnT57E/v3784LpEydObPp+a1GTy4IGp4KpSNLspVQUmyzkfCxWbDANAIKcmy2tvdZ5xSS56iE6vDCiwbzjec95MobNkkUB9uQMGmwcO2+8Bbtv7MEWrxtuq0zBNKkI4//51wh98jYo88E0Z8D0bYdw+0dOUzBNllXVAXUm+7yazQbUo6OjGBsbg9frxfj4OMbHx3Hy5MlN3Wctk0QBHV4HUroBTTfMXk5FCMVTMHKeqnBCN28xBcByBtEYtDGxoJgkQ/ZvhZEIg/OFeYj5GerNBdTc0JGafhZMVmDbtheWhg4woar/1JAq853/85uwPvQuCFr6F6shi9Df8jncdogSZWRlVV3ysZpMoD09Pb3h+wgGgzh48CCCwWB2/HjGWjuIhEKhvMsWiwUWS23XDze6LGhwWDAZTaGpzCb5lRPOOa5EkuAcuLltoTfvVLSys/v5JR+UoS40yd0AweqCEZ+DaEuPNBdyNiXy1MYDaq4loQWfh1TXDEtLV7bvNSGVIBmP4rGP7oP/uZ9lj8WdTrT88f+gKXCTeQsjJZVIJJBIJLKXF8dpK6G0wSZk+lBzzpf8W2s9dltbGzweT/bfvffeW+RVlz9RYNjms0PTOVKUpV6WZnA8N5uARRKwd4uK7i112c9VekAtSIUJ7sjyBIsdkrcNRmw2e4zltM3baIbaSESgzT4Pub4D1vY9FEyTinLpmTP4yXta4M0JpmeatmP3Jy9QMF1j7r333ry4rK1tbYO2ajZDnRnwstKmxVI5f/483G539nKtZ6czGpwWNLkUXIkk0VzB9cDFEE/puDSXQKvHil2NLrjnh7q4LOnx7ZVef87k3JIPylAXg+xpQurKBIxkDIJiAxMlMFEB15MbqqHWw9MwtDgsLbuhNG3P2/BISLl74jv/BOPzb4EtqWWPTd7067jjj/7ZxFURsxw7dgzvfve7s5dDodCaguqaDajLhdvtzguoSZooMGzzOnApnKTpiTlm4ynMxTXs8DtwbYMr73nx2WXMJTRMVnpAnZuhpl7URSHYPZA8zUhdmQC3uiDYPGCKDTyWhLHGswLc0GHE5qAnQhAVO2xb90Cqa6Ue0qSifPfv3wX1238Ncf5kKBcZYq+/D3e8fvPTlEll2mjpbVUH1IFAYMVNh5naaeoZXb7qHQqaXRZcnEtUxMjsYtINjivhBBhjuKHZja119iXdEvwOBU/NxDATS8EweMV2UxBya6gpQ10UjDFYmq+FYHNDm3kW2tyl7LAXvkrbPM45jHgYRnwW4IBoc8Ha3AXJ0wjRoZZo9YRsnpZK4Xv33gH/2R9kj6VsVnh+/z+x+7qXmLcwUrGqOqDu7u7OlnYslgm0ze4b3dPTA1EUceTIERw5csTUtZQbQWDYWmfHxbkEokkddqX2TiNzzhGMpRCK62hwKrim3omGFTZq+hzpgMjgQDCegtdema2d8rp8UIa6aASLHZbGTij126BHZiDY3NDnrsBIRJEKXoBodYNZHGCMwUhEocdmAT0FweqEUh+A5G6A6PCCSZUx0p6QjOkrT+PJj/fAP3Mle2zO24yuPzkNl7fZxJWRcjI4OIjBwUHo+to6Z1V1QL1///68MeW5zp49u6lBLoUyNjZGJR+rqHcq6PQ58PMrYbSKFkhi7ZR+hBMapqMpuK0Surd40OqxQl7l6/flBNBTkWTlBtRy7qZECqiLjQkiJJcfosOLFM6Ca3HI3jboocvQo9MA52AWByS1GbKnCaLTB0Gp7TNGpHL9cuzfEX/wLjjjC6Vxk9e8GLe+7xGIYu0lbcjKMonOUCgEj+fqm6yrOjq5++67MT09vWzZx8mTJ3H48GETVkXWgzGGHfUObK2z4kIoASOnd261SmgGng3GEE3puLbeiVu21mGb175qMA0AXkdOQB1NFXuZRSPIVENtBsEyX2rDOSzN18J+7e2wdfTA1rEPjh23wt6xF7K3lYJpUrG+/6UPIvXZ10GaD6a5AMy+/Cju+MC3KJgmm1bxGepgMLhiL2lVVfHAAw+gv78fw8PD2eMnT55EIBDAgQMHSrVMsgmyKGBXgwvRpIGLoeqtp9YMjslIErrBsUW1IuB1oG4dWWaffeHUeyVvTGTSQg01dfkonWxAjXQLPMnlh+DdYuKKCCkMXdfx6CdfjvqffSN7TLPIsL5tGLe84PUmroxUk4oMqI8fP46xsTFMTExk/+3fvx+qquKee+7JC5QPHDgAVVXR39+Pzs7ObE31WgevFBvVUK+NXZGwu8mFU88EMR2t3HKG5XDOMRNLIZxI10l3+hxocFrWvanQ78gv+ahUVPJhDsHqzH5sxMOAy2/iaggpjLmZS3jiz/aifvK57LGIx4ftHziNusatJq6MlLuaqKE+enR97Wx6e3vLol56OVRDvXZeu4KuJhcef24WkaQGh1KRL9884YSGqUgKqk1Cd6sHLVepk15NXg11BQ93yevyodFgl1JZnKEmpNJN/ORbCA2+Cu5YPHtsqqMHt3zgu5Bk2kxLVrfeGurKj0hITWn1WBFJaDhzOQxZECq2P3VCM3AlnIRFEtDV6ER7nQ32Tb5B8DmqI6Bmki37MZV8lI5gyclQJ8ImroSQzXvsnwfg+PdjULT0vhsuAMHbfw+3/+6gySsj1YoCalJRGGPo9DsQTRk4NxNBm2qDUEGDJDJ10obB0a7a0OGzQ7UVJlOSW0M9FancTYksL0NNJR+lwnIy1Jwy1KRCGYaB7/zFG9Dw438F5vew64oI8S3/F7fe/pvmLo5UtcpM71WRnp4edHV1YXCQ3jWvlSQK2NnoRKPTgudn4+AV0PmDc47paBIXZmOos8q4ub0ON7W6CxZMA0vb5lUqQaLR42ZYUkNNSIWJRYL4wbHtaPjRQjAdc3nQ9KEfo4uCabJOg4OD6OrqQk9Pz5quTxlqk1EN9cbYZBHXNbkx/twsLs4l0Owu384fmX7SHpuEvVtUtLitRemn7a+Wko+8tnlUQ10qVENNKtn5Xz6Gyb94GdTIwmt3est1eMGHxiBbyvfvAylf1Iea1AyPTcYNzW5YRBFXwgmzl7NEup90HLGUga4GJ27Z6kV7nb1ow2nsigjLfE15RQfUOTXUNHq8dAQlN6CmDDWpHONfH8Ts8VtgyQTTDJh+4Vtw28d/QsE0KRnKUJOK5nMouKHFjcefm8VUJJm3Mc8s+nydtKYXvk56NYwx+OwKLoTilV1DzQQwyQauxWj0eAnllXxQhppUiG8Pvhn1Y1/MlngYkgDjTX+D2/bT4DZSWhRQk4rX6LLg+mYXfvjcLIKxVEmC15XMxlMIxjTUOxRs9zvQuIF+0pvhc8jpgDqaBOccrII2bOZisgNci1Ef6hKikg9SSRLxKB772D7UP/uz7LG4w4GWP/42mjr3mrgyUquo5MNktCmxMFo9NlzX5EY0qSOc0Er++HFNx/lgDJrGcWOzCy9or0Oz21rSYBoA/PMbExOagUhybc3oyxGb35hIAXXp0KZEUikuPv1T/PQ9zfDlBNPBpk7s/uQFCqZJwdCmxApDmxILp73OhpRu4IlLcxAYg10Ri/6YusFxZb4NXkedHR0+O9xW8zLkvkXTEp2WyvwRF2Q7dACGRpnSUsmtoeZJet5Jefrxtz8P9oXfgS0nYTB10xtw2x9+uWLPyJHyRINdSM1ijCHgc0AzOH52eQ4+KEWdphiMpTAb09DgnC/vcFlM/4XuXTQtcavXvsq1y1duhrqSS1cqCWWoSbn7zoPvgP+7Q4CRvswlhsTrj+P2173H3IURAgqoSZURBIYd9enA4MnJCOYSOhqcSkGHv8RTOi6Hk3AqEm5qdaNNtW14XHih+Rw5w12ilbsxMTt+nOuAngQki7kLqgGMaqhJmUolk/j+x2+B/6nx7LGkzQrf/x5B267bTFwZIQsooCZVRxQYdja6UGdX8MsrYZwPxlHvUDZdApLQDMxEkzA40Omzo8PrgMtaXj9CucNdJit4uAvLHe6iRSFSQF10+V0+KENNysOV58/iqftuhj84nT0W8m/B9R8ah8NTb+LKCMlXXtEAIQXU6LLAY5VwdiqKiakIwkkNfsfas9UG59lNjkmdwyIJ8NoUdPodqHcqZVmG4HdUx7TEvOEuqQhgrTNxNbUhvw81ZaiJ+c58/yvQ/u5NcCQWzrZNdb0cL3rP1yCKxd8jQ8h6UEBtsp6eHoiimC1+J4VllUV0NTrhs8v4xZUwzs/E4bFJkEUGSRAgCQxiTieOhGYgnNAQS6WL9ByKiGa3FfVOC9wWCS6LVPLOHevhs1fHtEQhb1oidfooBSZbACYA3KAaamK6Rz//x6j75mcgze895CJD9JUfwu13/6mp6yK1Y3BwEIODg9D1tXXMooDaZNTlo/gYY2hyW+GxyTg7GcGVSALxFIdmpKDpHBwcnKfnAlgkAU6LiK2qDXV2BR6bBItUOZmQvC4fFVxDzaScbClNSywJxhgEqxNGLEQZamIaTdPw6H0vQcOvvps9lrIocL3zq9i955UmrozUGuryQcgKbLKI65rdMAyOlGEgqaX/n9I5UroBDlREFno1PvvCpsTpain50GImrqS2CBYHBdTENNOT5/Grj/egYfpS9li4rhG7PngKLv8WE1dGyNVRQE1qjiAwWAQRFdqieVW5GepK3pSYV/JBw11KRrCkNybSpkRSar84/TXEH3gDXLGF31tTO27Di973TYhSFf6yJlWnPHp9EUIKQrXKyCTXK7mGOq/LB5V8lExm/DinDDUpoe899CFog6+FPB9McwGY6/1j3P7B/6FgmlQMeqUSUkUEgcFrVzAZSVZ2lw+JNiWagc23zuNaElxLgUnmTf0k1U/XdXznU69A45lHssc0RYb17Q/hBS94g4krI2T9KKAmpMr47HI6oK7gTYnZwS4ADCr5KBlh0XAXUVLNWwypanMzl/HTj+9F45Vns8eibi86P3AKdU0dJq6MkI2hkg9CqkymjnouoSGpGSavZmOYZMt+TBnq0skPqKmOmhTHxE++jbPv3wpPTjA9vW0fbvrM8xRMk4pFAbXJenp60NXVhcHBQbOXQqpE3nCXCq2jZjkZak411CWT2ZQI0HAXUhw/+Jf7EPuLl0KJxgEAnAGzd7wDt31kDJKsXOXWhJTO4OAgurq60NPTs6brU8mHyagPNSk0rz1/WmKz22riajYmt8uHQRnqksnLUNNwF1JAhmHg23/xBjT++F/TTf8B6LII+S3/gFvueLO5iyNkGdSHmpAaVw3TEnMHu1DbvNIRrJShJoUXCc/ghx/bi8aL57LHYk432t/3fdS3dZm4MkIKhwJqQqqMz7HQmaFSNyYyOaeGmgLqkhGU/E2JhGzW07/8f5j+yztRF154Pc1suQ43/8ljkK22VW5JSGWhGmpCqoxvUclHJcrr8qFRYFcquRlqTpsSySaNfe2vMXf8RbDMB9OcAcEXvAW3fvwnFEyTqkMZakKqjL8KpiXm9aGmDHXJMAtlqMnmGYaBb//Nm9F46kvZemlDEoA3fRYv2t9n7uIIKRIKqAmpMtVQQy3IVENthrwuH7QpkWxALDaHUx/rQeNzv8geS9gdaH7Pd9DU2W3iyggpLgqoCakyvpwM9XSkQmuoJeryYYa8Lh9JylCT9Xn23I9x6TO3wReayx4LNu3A3g+fgsVO3axIdaMaakKqjM+euymxMjPUTJQBIf11UB/q0qG2eWSjxh/5HIKf6IYtJ5ie6b4Lt9z3CwqmSU2gDDUhVSa3D3Wl1lADgCDZYSRnaVJiCVHbPLIR3xp6Gxp+8LfA/GBWQxSg3/Vp3PqaPzR1XYSUEmWoTUaTEkmhKZIAtzX9XrlSM9TAwrREg2qoS0agTYlkHRKJOL79oZvQ8L2FYDpps8F79FHcSME0qXA0KbHC0KREUgw+u4JQXKvYtnkAwOanJVKGunTyR49TyQdZ2cVnf4nzn3wh6oMz2WMhfztu/PA4bG6fiSsjpDDWOymRMtSEVKFMHfVMLAXD4CavZmOE+Y2J1OWjdHIz1Jwy1GQFjz/6EK58bDccOcH0zO5X4QWfeoqCaVKzKKAmpAplOn0YHAjGK7TTRyZDrcfBDd3k1dSGvBpq2pRIlvHNv38XLH/3JohxDQDABYbE6z6KW49+DYwxk1dHiHmo5IOQKuRbtDExd6Nipcgb7qLFwBTnKtcmhcCUnHaFlKEmOZLJBB49/mI0/er/ZY+lFAW+3/8PbLmx18SVEVIeKKAmpArl9qKeiiSBehMXs0GCnDstMQJQQF10TBDAFDt4Mko11CTr0vMTOPepW9A0eTl7LKI2YveHx2H3tpi4MkLKBwXUhFSh/GmJFVrysWi4i2jiWmqJYHFAT0YpQ00AAD9+7N+Avz8Ad84G59ntt+GF7/8mmEghBCEZRauhfvDBB4t114SQq/A5coa7VGinD5Y3fpyCu1LJbEykGmryzS+9H9KJ10Oa/x3CGZDY/x7c8if/Q8E0IYsULaAeHh4u1l0TQq4iP0NdmQF1XsmHFjNxJbUlszGRMtS1K5VKYmTgpWj8+r1AKt0lSJckON/5Fez5rU+avDpCylPRAupTp07hRz/6UbHunhCyCr+j8qcl5pV8UIa6ZDIZap6MghuGyashpXb5ynMY+2AArWe+Bcx33Iw569DxiZ9j6wveYOraCClnRQuoZ2Zm0N3dDZ/Phze96U148MEH8dRTTxXr4QghOfI2JVZohprlZaipF3Wp5A534Ul63mvJTx8fxfMf3Q714nPZY3Nte3DjZ56Fs7HTxJURUv6KVgR16NAhzMzMIBgM4uGHH8bDDz8MxhhUVcX+/fvR29uL3t5ebNu2bcltP/WpT+E973lPsZZGSNXLDHYBgOlIZW5KFHJqqClDXTps0fjx3N7UpHp948t/hsb//jDkePqsBAeQuO0Qbn77EPWXJmQNihZQDw0N4ZFHHsHExASGh4cxMTGBkZERjIyMrBhg79+/H1u3bsXIyAgF1IRsQjXUUOf1oU5RDXWpLBnu4mk0cTWk2DRNw+hfvR7tP/0aMD8/yRBF2P/Xg9j94reaujZCKklRt+neeeeduPPOO/HAAw+gs7MTR48exdGjRwEAjz/++LIBdq3p6emBKIrZmfGEFIJdEWGRBCQ0o3ID6rySD8pQl4qg5GeoSfWanL6In336RWh/9lz2WMLmQuDY/8Cz9UYTV0aI+QYHBzE4OAhdX9uk3pKMHj906BA6OjrwqU99CqFQCACwZ88eHD16FCMjIzAMA6dPn8a9996Lm266qRRLKhtjY2M4c+YMBdOkoBhj2Y2JlbopUcjblEi1vKUi5JV8UOu8anXmiUdx/qPb4csJpiNN1+K6T5+nYJoQAEeOHMGZM2cwNja2puuXJKAGgI6ODrznPe/ByMgIvvKVryz5fCbAPn36NO68885SLYuQqpUp+5iKpMA5N3k160d9qM2RV/JBGeqq9M1/+zT4/3kxLDML39/43rux794zkB0eE1dGSOUqeWf2u+66C7Ozs/jkJz+J/fv3L5uRVlW11MsipOpkNiYmdQORpA6npbIGMeTVUFOXj5LJy1DTcJeqous6/vuz92Dr418GtPQxQ2CwHvwMul79h6aujZBKV7IMdS6Px4P3vve9mJqaWnai4gMPPGDCqgipLnmt8yqw7COvywcNdimZ3LZ5lKGuHtPBK/jOR3dj66mFYDql2NDa/x1sp2CakE0zNWWVKe3IbFp82cteBiAdcBNCNse7qNPHVq99lWuXHybbsh9TyUfp5GaoeZKe92pw5mc/QOxzr0DjlVD2WMzbjus//BgUlbq4EFIIpmSoFzt06BDq6uryNi0SQjan0qcl5rfNo5KPUlnSNo9UtG/85yD439wOW04wHe96Bbo/+SQF04QUkCkZ6lAohImJiey/s2fPYmJiAmNjY+jv78fw8DDe+MY3mrE0QqqGz7Ew3GUqWnnDXfJLPiigLpXFg11IZdI0DV/73FuxY/wfwePpYxyA8toPouvgx0xdGyHVqGgB9VNPPZUXMI+Pj2cvZ+R2HggEAti3bx8CgQCmp6eLtSxCakbecBfKUJM1yq+hpgx1JZqauYTx+1+O7U/+GHy+XloXZTQfGYZ/7+vNXRwhVapoAXUgEABjLBs0q6qKQCCAu+66Cz09PQgEAtl/VDNNSOFV+rREJlENtRkEylBXtJ+e+T5iX3wtWp+dTqekASQdXlz7gUdha91l7uIIqWJFn5R4+PBh3HXXXcV8GELIMnyVXkPNGJhkB9eiVPJRQtQ2r3L999c/i9ZH/jcclxdKvLTWG3D9+78J0ek1cWWEVL+iBdTd3d0YGhrC6Ogojh07BgDo7OxEb28vtm3bVqyHNcWJEycAAMFgEGNjYzh8+DB6e3tNXhWpdbmbEqcrsIYaSA934VqUSj5KiAa7VJ5UKol//4c+7Prx/4Uxu1BKKd38Juw6/H/BJHmVWxNCCqGoJR8dHR04dOhQ9tjs7CxGR0dx//33gzEGn8+H3t7eJcNdXvGKV+C//uu/irW0gjp8+DAOHjyYDaBHR0exf/9+zMzM0IAaYqrMYBegMmuogfT4cQM02KWUqOSjslyZuoDTf/da7HzycRjz7do5AP89n0LDq94Nxpip6yOkVhQtoH744YeXHPN4PLjrrruyJSCZAPtLX/pSNsBWVRWnTp0q1rIKbnp6GsPDw9mAOhAIAABOnTpFWWpiKo9VhsAAg1dmDTUAMDm9MdGgGuqSyQ+oqeSjnP3oJ/+D+L/chfanrmQ3HxqSBe3v+me4b3yVuYsjpMaYOthlcYB97tw59Pf3IxgMmrmsdRkeHs67PD4+DgDYt2+fGcshJEsQGLx2BZORZMVmqDMBNdei4JxTtq0EmKQAogzoKXDKUJetr//n/0H7998D+ZlEdvOh4WnGjvc9AksLbT4kpNRMDagX6+jowMMPP4zt27ev6frBYBD9/f1QVRUDAwMrXm90dBQjIyPo7OzMButHjx4txJKXGBoawsDAAJV7kLLgd6QD6skKzVAL0ny2lBvgegJMspq7oBohWJ0wIjO0KbEMJZMJ/Nvn+3D9L74A7ZKRPS523Ixr3vM1SE6fiasjpHaVVUCdceDAgVU/39/fj4mJCfT09GB0dHTV0oqTJ0/ioYceysskZ+qcR0ZGCrbmEydOYGRkBPv37y9asE7IemXqqMMJHUnNgCKVxXDUNctkqIH5OmoKqEtCsDjSATVlqMvKxcvP4vEvvB67n34cWnBh86Hr9t/Blrfenz67QAgxRVn+db3vvvtW/fzAwACGh4dx9OjRVTPBwWAQhw4dwgMPPJB3vLe3F9PT09nuHIXQ19eHBx54AGfPnkV/f3/B7peQzchtnVeJddR5ATXVUZdMpo6aaqjLx+M/+hae/tt92PbLcRjzwTQHQ+Nv/jm2vO1zFEwTYrKSZahDoVB2s2EgEChJ67yHH34YgUBg2aD7nnvuwdDQEPr6+gCks9ZDQ0Nrut/FddMZqqpiaGgou8GSMtXEbN5F0xKb3ZWV4RVypiUa1DqvZDLTEo1EhGrXy8DX/v3P0fHDY7CcS2Q3H3LFjvbfH4brxlebuzhCCIASBNQPPvjgshsNVVXFPffcg6NHjxYtuB4eHobXu3wz+0AggPHxcQSDQaiqit7e3g115Th8+DD6+/uz3T0y9z0yMkIBNTFdxU9LlBc6TlDrvNLJdvowdPBUAkyprDdi1SKRSODfP/823HD+S0g9rWc3HwreNmz74/+EdctucxdICMkqasnHPffcg76+vmw/6ve+972466670NHRgZmZGdx///3o7OzE+9///qI8/qlTp/IC3VyZ4xMTExu+//HxcZw4cWLJfUxPT9OmRFIW/JU+LVHKLfmggLpU8oa7JKnUxgwXLj6Nb/zNLbj+V/+E1FMLwbR1x63Y/tFxCqYJKTNFy1B/+ctfxsjICE6fPo09e/Yse50TJ05geHgY9913H0ZHR/HYY48VdA2Z7PNqJiYm0N3dvaH77+7uxtGjR/My26OjowgGg6t2HSGkVHyOnOEuFTgtUZBt2Y9p/HjpCErOmYFEBKDOESV1anwUxjfejMD5K3mbD9XbfwfNtPmQkLJUtIA6EyyvFEwD6Y18fX19GB0dxcGDB3HzzTcXPKheSSbQnp6e3tT9HDt2DMePH89eHhsbw+nTp1fMjC8WCoXyLlssFlgslk2tiZAM36Ia6krDpJzAjjYllkxehppa55UM5xz/8a+fxPaffxj8qQT06MLmw6Y3fRLeV9LkQ0KKLZFIIJFIZC8vjtNWUrSAempqCnfeeeeartvb24uZmRm8/OUvx/vf/3584hOfKNayCk5V1U3VSre1teVd/vCHP4w//dM/3eSqCEmr/BrqRW3zSEkwGj9ecrF4FF/7v2/FTZNfQWJCBzInlCwOtP/el+C66bWmro+QWnHvvffiIx/5yLpvV7SAeqXNgKt5+OGHsW/fPvT19RW9C0hmk+RG1llI58+fh9vtzl6m7DQppNy2edORSiz5yAnsqIa6ZDJdPgBqnVcKTz/7K/xi+I24/tIZJC4a2XppydeO9j/6d1jbrjd3gYTUkGPHjuHd73539nIoFFqS/FxO0TYlbmRTnqqquO+++9bcvq4auN3uvH8UUJNCqvxNiQs11LQpsXQEylCXzPd+8K+Y+r83o+2XT0B7fiGYtm1/EQJ/OkbBNCElZrFYlsRma1G0gHqjdV4HDhzA6OhoQdYQCARW7OKRqZ1ea60zIZXIa8/dlFh5AbWQ1zaPArtSyQuoqYa6KAzDwL889AF4v/pGWH8ZBM/USzMBvte8D1vf9w1I7gaTV0kIWauiBdSL+06vR11dXUHW0N3dveI6MoH2Rjt8FEpPTw+6urowODho6jpIdZJFAW5rurKrEgNqRoNdTJG3KZEy1AU3F57F1/7iZdj57XthXFhoiSc2dKLjg99F4933QpDpbCUhZhocHERXVxd6enrWdP2iBdQjIyP4vd/7PXzlK19Z8w7JjEIF1Pv3718xQ3327NkNDXIptLGxMZw5cwZHjhwxeymkSmU2JlZkl4/cDDUF1CWTX/JBGepC+sXZH+GJT+xA4MffhhHJdPEA6l7+h9jx8Z/Avv2F5i6QEAIAOHLkCM6cOYOxsbE1Xb+og13uv/9+HDx4EHV1ddixY8eGA+yNuvvuuzE9Pb1sUH3y5EkcPny4JOsgxEy++bKPmVgKusGvcu3yIuTWUFOXj5LJ35RIGepC+fa//SVSn9kH93NXsllpzdWAbe//Dprf/OcQFNvqd0AIKVtFC6gDgQBOnz6Nz372s3jjG9+IqampogTYwWBwxV7SqqrigQceQH9/f97xkydPIhAI4MCBAxt+XEIqRWZjosGBYKyyOn2wvC4fFNiVSm7bPE4B9aZpmoZH7utF/Vf+EEJYyx5n++7GdZ+egOPa201cHSGkEIrWNq+7uxt79uzBnj170NfXBwA4d+4cRkZGMDIygkceeQT3339/tqNHIBDA/v370dvbe9Vx4MePH8fY2BgmJiay//bv3w9VVXHPPffkBcoHDhyAqqro7+9HZ2dntqZ6ZGSkOF/4OvX09EAURRw5coTKPkhR5LbOm4om8y6XO+pDbQ4a7FI4V879EE9/5mVoDs1kj6UUK5oPfxEN+95g4soIIasZHBzE4OAgdF1f0/UZ59y0c8CLA+xMsMsYW/MXUKlCoRA8Hg9mZ2fX3JKFkI343//yU/z1o+cAAN/9/VtxyzZze6+vh5EI4enP+gEA1vZeNL/xayavqDbEn/0pJj6Qbtem3vE2tLztQZNXVHk453ji4Q8DX/8zCDmlVrNbbsC+938LsqMwe4UIIcW11nitqDXUV9PR0YG+vj4MDw9jenoaZ8+exX333WfmkgipOvnTEiut5IMy1GagTYmbkwo+j/H33wjhax/LBtNcYgi/6hhu+fiPKJgmpAoVreRjIzo6OnD06NGC9aEmhFT2cBcmSICoAHoSnGqoS4Y2JW4M5xzT3/0CLvzd22HTFn7WYl43vIe/jt07bzFxdYSQYlpzhvrxxx+H1+uFJEn49Kc/Xcw1md4bupSoDzUpNp8jZ7hLhQXUACDM96KmDHXp0GCX9dNCl/Hkp1+LSw+8BWImmJaACzt70PXxZ9FBwTQhFWW9fajXXEP9ile8Ah0dHThx4gTq6uowNTW1qYXWOqqhJqUy+ssrePmJHwAA3vey7fjEq3eZvKL1eeaBbdAjFyA6W9H+9nNmL6cmcM7xs98RAc5h7ehB4E8fM3tJZS009mWc/9zbwWLB7DGmCnj6Re/Fyw9+AoJganUlIWQT1hqvravk4/7774fH48H27duX/fyxY8dw7733rm+lhJCiWtzlo9Jk6qhpsEvpMMYgWBww4mGqoV6FFp7Cxc//AUI/+CewzEEJSLS6Ybz+S3jl3leZuTxCSAmtOaCemprC3NwcBgYGVrzO8ePHKaAmpMxkBrsAwHSksjYlAlTyYRbB4oQRD1Mf6hXMPf5vuPC3h6CHLmWPCR6GZ9u7sPu3/g3NTR0mro4QUmprPg/V19eHbdu24dOf/jS+8Y1vLHsdEzvwEUJWUMmbEoGF4S5cT4Ab1d1Os5xkhrvQpsR8emwOFx78XZz/i9ctBNMiIG8V8Ysb3oQ73nWKgmlCatCaM9R9fX0IBoN473vfC8bSJ7cCgQC6u7tx8803Y8+ePdnjZO1osAspNrsiwSoJiGtGRZd8AOksNVNcJq6mdmSGu1DJx4LY2cfw7P2/idTls9ljgpuBt1nw1HWfwOtf/Ucmro4QUkhFH+wyOjqKoaEhfPnLX164k5xAWlVV7Nu3D93d3ejp6UF3dze2bdu2noeoCbQpkZRS28dG8NxsHM1uC5770MvNXs66XPrXuxCd+DcAQNuhZyA5mkxeUW0497FbEXvyewCAXX+bAhPLqstqSXFDx9TXPonLX/kTQJ8fHS4A8hYRU2ojHK/4J1x/3R3mLpIQUhRF2ZQIAL29vejt7QWQbqU3OjqKsbExjI+PY2JiAjMzMxgZGVnSS7q7uxu9vb0UZBNiAp9dwXOzcUxFUuCcV9TZJBruYo784S4RiHaPiasxT2r6OTx34rcR/dk3s8eYnUHZJuKXtn3oefNJ+H2tJq6QEFIONpVy2LNnD/bs2ZO9LAgCTp8+jVOnTmX/Pz4+DgA4ffo0Tp8+nfeHPBNk79+/Hy972cs2sxRCyCoyGxOTuoFIUofTUjnZxkwNNQAa7lJCmZIPoHYD6tCpf8bzf/t26JHp7DGpUYDULOAnvt/Fa37z/0CS5FXugRBSKwr6V5Uxlg2yDx06lD1+7tw5jI+PZzPZp06dQjAYxOnTpzE+Po7jx48DAA4fPozDhw/jxhtvLOSyCKl5izcmVlJAnenyAQBGKmbiSmpLLY8fNxJRXPqnd2Pmm0PZY0xObzxMOO24cONn8PqXvd3EFRJCyk1B/6p6PMtnMDo6OtDR0YG77rore2x2djavXOTUqVO4//77MTQ0hIMHD+KBBx6Ay0WbjwgpBO+iXtTbvPZVrl1e8ks+KENdKrU6fjz+9A/x7Gd/A8nnf549JqgMSpuIC+IWNLz2Ybxkx9ompxFCakdBA+rp6emrX2mex+PBXXfdlRdknzt3DiMjIzh58iS2bduG8fFxbN26tZBLLDvU5YOUgs+eE1BXWOs8lpOhpuEupcNyMtS10IuaGwam//svcXn4feCZ0eECILeKEH0MP1PuwO2//TDcbp+5CyWElMR6u3yU1Xnfjo4O9PX1oa+vD6Ojo+jr68N//dd/mb2sohobG6MuH6TofI6FOs+paGUNdxFyaqgNqqEumbwa6nh1l3xowYt47sG3IvKThb83zAYo2yTAIuBM8x/g1XcPQBBEE1dJCCmlTKIz0+XjasoqoAaAH/7whzh37hze8IY34MSJE2Yvh5CqUDUZao1qqEtlcZePajX3o6/hwoO/Az10OXtMakhvPJyDE7Gb78drb73HxBUSQipB2QXUL3vZyzA7O4uBgQHMzs6avRxCqkIlT0sUcmuoKUNdMtW+KdFIxnH54X5Mj/zVwkEJULaKEN0CnkEHOt74FdzYvtu8RRJCKsaaR4+XysGDB8E5R39/Pw4fPmz2cgipCnkZ6gqblpi7KdGgPtQlU82bEuPPPoFzH7k5L5gW3AzWnRJEt4AnbK/AzYfH0E7BNCFkjcouQz00NIR3vOMdUFUVHR0dZi+HkKrgy8lQT1dYDXX+psTqCuzKWV6GukpqqDnnmPnG/bj0T+8GT8XTxxigtAoQ/QJ0iJjY9j685vUfrqjhR4QQ85VdQA0gb1gMIWTzMoNdgMqroc7dlEg11KWzeLBLpdPmJnHhc29D+PF/XThoZbBuEyHYGKYNFcKL/x6v2Ptq8xZJCKlYZRlQE0IKy2OVIQoMusErroaa5Q12qfzArlJUUw11+IlHcOHEb0MLPp89JtYLkFsEMIFhgnXhujd/BY2NARNXSQipZGVXQ11renp60NXVhcHBQbOXQqqYIDB4beksdSXXUFMf6tLJraGu1D7UXEvi0kP9eOaT+7PBtC5KUAIilC0imMDwhPsu3PHO71MwTQjJMzg4iK6uLvT0rG2QE2WoTUZ9qEmp+BwKrkSSFRdQC3lt8yigLhVW4W3zEhd/iec++5uIP3U6e0xzKnBuM8BkAUku4cLOP8NrX/VuE1dJCClXFd+HmhBSHJk66nBCR1IzoEiVcYKK5Q12oYC6VCp5sEvkzDdw/q/eACMWAgAYTITYzOBsMMAYwxXuh+vlX8RLd7/E3IUSQqoGBdSE1IjcTh9T0SSa3VYTV7N2eSUflKEumUod7DL7gy/huRNvAfR0N5u41QnP1jgEe7prx5PiHux781dQ5201c5mEkCpTGSkqQsim+Sp0uAsTrQDSwRBtSiydStyUOPX1z+C5z/5GNpiOuZ1Qr1kIpn/u/1942TsfpWCaEFJwlKEmpEZU6vhxxhiYbAdPRShDXUJMEMFkK3gqXvYZam4YuPTQezH99c9kj2leC+ra42CMIcYtCN70GbzqpYdMXCUhpJpRQE1IjajsaYmOdEBNNdQlJVgc0FPxsq6hNlIJXHjwdxD6wT9lj4lNIqxNOhhjeJ63oPnXHkbX9ptNXCUhpNpRQE1IjfA5coa7VNi0REGywwCNHi81weqEHp6CkSzPDLUencX5v34jome+AQDgAJQ2EZI/Xc34K+UW3PrbX4bD5TdxlYSQWkABNSE1olJLPoCFjYk0ery0BCVdR12OGerUzAU88+lXIXH+xwAAgzFYOwSInnQwfbbl99B716f+f3t3H99WXfeP/5X0drc9bXcDg8F2AgOGwkXacH8jLlFEgUttOry9/Kpr9OpPvURt3OUd6KU1Eby7rJrsQhBvsE1EEG/QnIlyp9LuIAgTGDkDNsbG1vS0u+3t+f2RnbOkTdukSXNy83o+HntAT05PP/1ka1/55H3eH1gr+GuOiOYff9IQlYllRXpTInBit0Rt9Ag0TYPFYjF5ROXBcrx1njZSWPM+vOdZvHzbNRg98BIAQKuwYIHNCusiK45oCzByURecl77X5FESUTlhlw+TcadEypfEFepYkdVQW41e1Bq08WOmjqWcGJ0+NA3ayFFzB3PckR2P4cX/ucwI06gGatdVwLrIir2WU9HwzodwAcM0EWWJOyUWGe6USPmS1If6cHHVUFsqJ20/XrnAxNGUj8mt86w1C2c4e/4dlO/D7u/fCG00/qLKsgCosVXCUmXBzoVX4vL39qB6YYOpYySi0pDpTolcoSYqEw0LE29KLK4VakvViQDNOur8sdYk7JZocuu8gQcD2PXddxhh2rrEgpoz42F6z+kfx9Wb/sgwTUSm4Qo1UZmoqrBiaW0lho6NFV2gtlYmrJSy00feJK1Qm3RjoqZp2P+rL+HAfV8xjlXUW1B1WgWOWhah4vIf4rLmG00ZGxGRjoGaqIwsW1SNoWNjxXdTYtWkkg/KC2utuSvU2vgYXr3zI1Afut04VrnCispVVuyvOB1nun+FhpNfn/dxERFNxkBNVEYaF1ZD6T+CgaOjGJ/QUGEtjK4NszlxUyK4W2Iembn9+MTwYezu2ohDT/7WOFZ1ihWVKyrwytKrccm7u1FRK+R1TERE02GgJiojjcfrqDUNUI+OJt2oWMgsCTchTnCFOm8Sa6i1PK5Qjw3tx8vfehuOKY/HD1iAqtMrUFlvRezMT+Gya78Ki4W3ABFR4WCgJiojSZ0+jowUT6BOWqHmTYn5YjGhhnrkNQUv3XoNRvftiB+oAKrXVmB4yWJUX/1/aDq/JS/jICLKBAM1URlJbp03Aiw3cTAZsE5um0d5ke8a6qMvynjx1rdAO/ha/EBVvC1ebMlanNN6HxavOGfex0BENBcM1ERlJHFzl2K6MTFxhZolH/mTXEM9v4H60D//iJe++w5YRuJfx1ILVNsqcWDlm+C48W5Ya9ivn4gKFwM1URlJDNT9R4pnc5fEGmrelJg/+bopUX3kLuz+vw/Cqo3Hv+4iCyrXVuLoeV5c+KZbWC9NRAWPgZqojDQuStjcpYhWqK1JK9Ssoc6XxJsSB7Z+H4efjsBauxjW2iXH/0z3//GPKyY9ZqlI/pWjaRpe/fXXod7z38YuY9Y6CybWLMXia+7EGev/PX/fLBFRFhioicpI8gp18QTqpD7UXKHOm4oly4z/Hxvci7HBvVldz1JVmxS8h8c1YM8/T3y9ZVYcEs/AuTf+GrWNZ2X1tYiI8onvo5nM4XBg/fr16OrqMnsoVAaWLSrSGuqEnRJ5U2L+1JxyLuqv9qBicSMsldl3hNFGj2H84AGM7t+J4V1PJYXpypOtOHLBtbhgUx/DNBGZrqurC+vXr4fD4UjrfK5Qm6y3txdLl/JmG8qPxC4fsSJaobZWJfSh5gp13lgsFpz8gR/i5A/8EACgjY1g/NhBTBw7hIljB4//Sfj/owcxMZz82Pjk844exKGDA6gaGYRV04BKoHJVBSxv/CL+7Q1fgMVSHJsNEVFpa29vR3t7O4aGhlBXVzfr+QzURGVE39gFAPoPF9FNiYl9qFlDbRpLZTUqFzcCixvn9Pn7Dw3ji3fdiQ8d/RyEikpomoZjlsVofMtP0HjW23I8WiKi/GGgJiojC6srUVtpxbGxieKqoWYf6qL3+MsD+NHPvoZP1nahumIMAHC49nSsa70fNY3sL01ExY2BmqjMNC6qxiuDx4oqUCdu7MKSj+KiaRqCj0Wx50EvvIvvN44fW3Yl1rf0oKK2wcTRERHlBm9KJCoz+o2JBw6PQNM0k0eTnqQuH1yhLhpHRsbw0bsfQc3D78EHEsJ0xXoPzn73AwzTRFQyuEJNVGb01nmj4xoODY9jSW3h/xiwWCuBimpgfIQ11EUieuAwPnbXvfjk+OdxRu0rAIBxVKLx6m+h/nyPyaMjIsqtwv9NSkQ5lXRj4pGRogjUAGCtXISJ8RGWfBSB327fh/8N34HOxX4IVfEdFkcrBay+IYQFq68yeXRERLlXHL9JiShnGhYlb+6ypmHhDGcXDkvVQmB4gCUfBWx8QsOX//gcdv71u/hf4UeotEwAACbqzsbad9yLqjrR5BESEc0PBmqiMpO0W2IRbe5irVqIcXCnxELVf3gE7//Z47jkta/jlvo/GserTn8LVl37E1hr2G+fiEoXAzVRmSne3RLjK+ks+Sg823ar+OCP/4TPVnwFFy9+xji+tOlTaLjsf2CxVpg4OiKi+ccuHznm9/shSZLZwyCaVuOixBrqItzcZXwE2sSYuYMhw+1/fxkf+OHd+E7NJ3BxbTxMa9ZqLHvzj9B4RSfDNBGVBQbqHFIUBV6v1+xhEM2oWEs+uLlLYTk2Oo5NoSfxs/t/hJ81fBanV+6LP1C7AqtaJCw5573mDpCIKI9Y8pFDkiRBFHnTDRW2pEBdTJu7VCVu7nKYNbkmejF2BO67emFX78KWxp/Caon3M69a/m846fpfonLJapNHSESUX1yhzpFwOIzW1lazh0E0q8Qa6lgxlXxwhbog/OG513DJt7di4+Gv4rPCT4wwvfCMt2NV64MM00RUlop6hVpVVXi9XgiCAJ/PN+15kiQhEonAZrNBVVUAQEdHR07HAQCCIOTsmkTzpTHppsRhE0eSGateQw1wcxcTTExo+OrWHfie9Dd8v+EbsNc8ZzwmXPR5CBd/HhYL12iIqDwVZaD2er1QFAUOhwOSJMHpdE57bjgcRnd3N0KhkHFMkiS4XC5EIpGcjKenpwdtbW05uRbRfKurrUSF1YLxCQ39h4tzhXpi7KiJIyk/A0dG8P67n8DOF/6Ge5b7sKryQPyBygVY8abbsWhdi7kDJCIyWVEG6sTV6O7u7mnPU1UVmzZtws6dO5OOO51OeL1eBIPBrIOwLMszBnqiQmOxWNCwoAr7D48UVQ21pSqx5IMr1Pny5J5BvPPHfTjzyFZ0L/9fLLTG39WoWHwqVl7/S9SsuMDkERIRma8oA3W6enp6IIpiylKMjRs3IhAIGIFakiQEAoG0rpu42t3X18fVaSo6jYuqiy5QJ96UyM1d8uPHvbvw0V8+iQ8v6MYnG08sXtScdCFWXBdC5aKTTRwdEVHhKOlAHQqF0NDQkPIxURQhyzJUVYUgCHA6nRmvNPv9fvT398Pv9xvHYrEYAoEAZFnOaZ02US7pNyYeGh7H8Ng4aioLv1dwUskHV6jn1bHRcXzivqdx19924BsN38NbFz5mPLb4nPegccMPYK2sNXGERESFpaQDdV9f37SdN/T2doqiwG63z+n6qQKz1+uFx+NhGQgVtMaFCZu7HB7FqroiCNSJNyWyhnrevBg7gta7+vDinhfx8xU+/Fv1juOPWFB/+VdR1/QpWCwWU8dIRFRoSvqWbH31eSaKouRnMEQFpGFR8fWitlYuMP6fK9Tz44FnX0Pztx/C0N6ncM+Kzxph2lK1GCuv/yWE5k8zTBMRpVDSK9Qz0YN2LBbLyfUkSTJqq30+X9olH0NDQ0kf19TUoKamJidjIppOMe6WmLRCzT7UOTUxoeEr0vP4cuR5XFH9BL674jYsscbfBahYfCpW3vAr1Cw/3+RREhHNv+HhYQwPn2gpOzmnTadsA3Wu6TXY6d7YqFu9OnkThC996Uu4+eabczgyoqmKcbfEpI1dxrhCnSv9h0fwvp/LeOC5/Xjfot/hC8IdqLBMAACqVzZh5fX38OZDIiobnZ2duOWWWzL+vLIN1PpmLNPdtJgvu3btwtKlJ7ZQ5uo05UPibokvxoqjHjlxY5eJ0eIYc6Hr26XCfVcfdg8cwhfr7sR/LPmd8djCM/4dy998Z1J3FSKiUrd582bcdNNNxsdDQ0NTFj9TKdtAXSiWLl2aFKiJ8uH8VSf+zt32lyjaLj4dS2oL+8cB+1DnjqZp2PL3l/HxXz2NqonDCDR+E1cvkI3H65o/jfrL/oc7HxJR2Zlr6W1J/7QURXHamw712mm92wdROWleLeCGc1cCAPYeHMZXt+6Y5TPMl1zywRrquToyMoYPdT+Jj4SfQiP2oWf5f58I09ZKLHNtQcPlX2OYJiLKQEn/xLTb7UZpx2R60J5ry7xccTgcWL9+Pbq6ukwdB5WfW687F9UV8R8B335IwQsHCnvVN7H0YIKBek6iBw7jsu89ijv7duG8qh341YrP4uzqlwEA1pp6nPT232HJuf9h8iiJiMzX1dWF9evXw+FwpHV+SQdql8s17Qp1NBotiF7Rvb292L59O9rb280eCpUZ27JF+NQb4u/QjIxP4FO/fsbkEc2MXT6yc/8ze9H87Yfw5J4hXLPgr7h7xRexvEIFAFTW2XDyxoewYPUbTB0jEVGhaG9vx/bt29Hb25vW+SUdqFtbWxGLxVKG6nA4DI/HY8KoiArH5jeeiVVL4zve3b99Hx549jWTRzS9pJIPBuq0jY1P4L9/9y/ccEcvBo+N4iNL7kFX462otcS7u9SccjlW3fgwqhvOMnmkRETFq+gDtaqq0/aSFgQBW7ZsgdfrTToeDochiiJaWlryMUSigrW4phK+t51jfPzJ+57GyNiEiSOanqWiBjhe1zvBtnlpee3gMK7Z8nd8/U8voAqj8NV34TN1PzMeX3zOe3Hy23+PigXLTBwlEVHxK+zb+qfh9/vR29sLRVGMPy6XC4IgYOPGjUlBuaWlBYIgwOv1wmazGTXVkUjEpNEnczgcqKioQHt7O8s+yBTvvuAU/OCxF/HYiwN4bv9hfO/RnbjpKpvZw5rCYrHAUrkQ2ughrlCn4W8vDcB9Vx9eGTwGwXoQ32/8Bi6qOVHWU3/pl1Hn8HLnQyKiFLq6utDV1YXx8fG0zrdomqbN85gohaGhIdTV1WFwcJBt88h023aruPA7D0PTgKW1lXjO+0asXFJ4PdFfDq7G+JF9qFxyOlZ/qPA7k5hB0zR0PfoiPnX/Mxgd17Cmcg/uWN6J0yr2AAAsFbVY9ubbsXid2+SREhEVvnTzWtGXfBBR9ppOFfDBC08DAAwdG8Pnfv+sySNKTa+jZpeP1A4Pj+G9P38CH7/3aYyOa7iw+hncd9LnjDBtXbgCJ7VIDNNERDnGQE1EAICvXnM26o5v7nJH78vo26WaO6AULFULAHBjl1See+0QLv7uI7j7iVcAAO9c+Cf8dMWXsRhDAICqxvVYtfER1J58oZnDJCIqSQzUJmMfaioUK5bU4ItvWgcA0DTgE/c+jUKrCLNWxlvnaWNHCm5sZvrlU3tw4XcexjP7DsKCCfx3w93wN3ShAmMAgAWnvxmrWh9CVd0acwdKRFQkMu1DzRpqk7CGmgrR6PgEzr/tL3j2tUMAgLvedQHe23SqyaM64dWwC8d2/wUAcHq7mrTZSzkaHZ/AZ3/7L3zroXhr0FrLMIIn/wCXWR82zlly/kfReNVtsFiL8h50IiJTsYaaiDJWVWHFt2841/jY+9vtOHhszMQRJUva3KXM66j3DB7Dhh/+1QjTy6wD+MPp/3MiTFusaHjDt7Ds6u8wTBMRzTMGaiJK8qazVuD6c1cCAF4dGsbX/lQ43TSslQuM/58o4zrqB184APu3/oJHdsZ78J9b8xL+vOaLOHVsOwDAUrUYK6+/B3X/xlacRET5wEBNRFPcdt25qK6I/3j41l8UvHCgMMJrua9QT0xo+PqfdsAV+Cv2HzqGy2v+gTtPuhX3rfgMFozEO3lULD4VJ7c+iIVrrzV5tERE5YOB2mS8KZEKkW3ZInzyKhEAMDI+gU/f/8wsn5Ef5bz9+MCREbz9zl74H+jFBxfdB2nlx/Dj5V/BFZV/hUWLbzxQvbIJq971KGqWn2/yaImIihtvSiwSvCmRCt2h4TGc7XsQe4aOAQAe2HQR3nTWClPHFHv4sxjc9k0AwEktW7Hg1CtMHU++PLFbxRd++lO8cfw+XLvwMdRYRpMer1h0Mpa8/sOoa/pU2d+oSUSUS+nmNd6pQkQpLa6pxNffeg7ef/cTAID/uu8ZPPmpZaiqMO+NraQV6jIo+ZgYOYQ/PNAFPHc7/rf2xSmP165+I5ae14aF4nWwVFTlf4BERASAgZqIZvAe+yn4wWMv4q8vDeDZ1w7he4/uxCevtJk2nqQa6hK+KXHkwNOI/eOHUJ/5Gc7WDgOJWblawNJz/wNLz9uEqvp1po2RiIhOYKAmomlZLBZ8599fh4u++zA0Dbjlj8/jPRecihVLakwZT2I5Q6ltP66NDePwC/dg6Kkghvc8CgBInOVXq8/FOVd8AnXnbEzqdkJEROZjoCaiGTWvFvD/HKfhR4+/jKFjY/jcA89ii9ucm94slYkr1KURqEcHd+LgP7fg4DM/xsTR/UmPHZmowe+OXYl1l30MN1x1jUkjJCKi2bDLh8nY5YOKwdfecjaW1sZff//o8ZexbbdqyjgsVSdWZsePvGbKGHJBmxjHEeW32HvvDdh9x9kY7Ls1KUzvGD0Vtwx8CB8Y+zne+sFfMEwTEeUZu3wUCXb5oGLzzb9E8en74xuHXLqmHg+3XwaLxZLXMRx9+U/Ye8/xcGmpQMMVX8fSCz6e93HM1fjhfTj4zB04+M/bMXbwpaTHxlCJB45chJ8dejMeH1mP1vNPwRb3+VhSyzcSiYjMkm5eY6A2CQM1FZuRsQmcf9uf8dz++M2AP3n3BXiP/dS8jkEbH8W+37hxdOfvjGOLzroRy5w/LOh2cePHYog91IFDz94NTCS3vBtbcApuH9iA22NXoX9CQKXVgluvW4+PXb62aF4oEBGVKgbqAsdATcXogWdfw7X/93cAwKqltXjWezUW1+R3BVWbGMfAX2/GYK/POFa97DysuC6Eqrq1eR1LOo6+vBX7//AhjB/ek3DUggVr3gzJcj0+9OhyjE7Eq+9OqatFz/uacMmaBnMGS0RESdLNa6yhJqK0XXP2Cly3fiUAYM/QMXT+aUfex2CxVqDhsq9gxVt/YbTRGznwFPbcfQmOviTlfTzTmRg7hv6/fAZ773mLEaatNQLqmj+Nunc9jf9Uv4D3P7zSCNPOM5dB/uSVDNNEREWIgZqIMnLb9eei+vjmLrf9WUH0gDn9oBed+Q6suvERVApnAAAmjsWw9963Qe27DWa/8TayPx7wh574jnGs9rQNOOV9T2CX6MVFP3oZ9z6913jsc84z8ftNF2P5YnPaERIRUXYYqIkoI2csW4T/ulIEAIyMT+DT9z9j2liqG8/Fqhsfw4K118YPaBMYeGQz9v/uPZgwYeMXTZvAoPxtvPKLSzHaH58XS0UNGq66DSe9/bf46b8mcMl3H0G0P97yr35BFX7zoQvxlWvORoWV9dJERMWKgZqIMva5DWfi5KXx1dT7ntmHyPP7Z/mM+VNRK2Dl9fdAuOhzxrHDO8LY030FRtVo3sYxdnA39t7zFsQe6gDGRwAA1ctej1Xv+itw9kfw4dBT+GD3P3BsbAIA0HRqHbZ98kpce87KvI2RiIjmBwO1ydiHmorRktpKfP2t5xgf/9e9T2N0fMK08VgsVtRf8iWsuC4MS/USAMDogaex5+5LceTFP8771z/0XA9e+akdx3Y9aByra7oJJ298FL9+pQHrv/Eg7nh8l/GY55LT8XD7ZVjTULidSYiIyhn7UBcJdvmgYjcxoeHyrkfxt5cGAADfuuFcfOIK0eRRASOxZ/Ha/S0YHXj++BEL6i/7CuqaP5PzNnQTw4M48OAncPjZnxvHKhafiuVvvh37F1+E/++ep/Gbf+0zHltUXYHvv/P1eF/T6pyOg4iI5ge7fBDRvLJaLfjODa8zPr75D89h/6FhE0cUV91wNlbd+BgWim87fkTDwKOfx2u/excmRg7l7Osc3f0wdv+0KSlML1rnxknv6sUPlNNw7jf+nBSm33bOSjzzmTcwTBMRlSAGaiKaM8dpAj7giAfEwWNj+NzvnzV5RHHWmqVYcV0YwsVfNI4d2XEP9nRfjtGB7Fr9aeMjiD3yOewNOzF+8GUAgKV6KZZfcyd2vf57uDT4DD59/3YcHhkHAJy8tAah9zfhvg86cFo9SzyIiEoRAzURZaXz2nOw9Pj22Lc//jLk3aq5AzrOYrGi/uLPY+X1v4KlOv423Wj/9nhddcJOi5kYif0Le35xOQb7vgEgXi1Xe8oVqG99HF947jxc9N1HIL8yePzrAx+9dA22f+ZqvPO8Vdz1kIiohDFQE1FWVi6pwRec6wAAmgZ84t6nTe8DnWih+Fac8q7HUNUQv4lyYmQQ++57Owb+/jVoWno3UmqahqEnf4A9P7sII/v/ET9orUL9ZV9F3zl34bwfRvGdh3di4vi3/bqTluCR9svQ9Y7Xo25B1Tx8V0REVEgYqIkoax+7fC3OWh7ftfDRFwfwi3/smeUz8quqfh1W3fgIFp7x78ePaFD/ejNe+00rJoaHZvzcscN7se/e69H/4CegjR+LX6/hbFS9dSs2bb8aN9wpY5caP15bacXXrj0b27jjIRFRWWGgJqKsVVda8c3rzzU+7vjNdhweHjNxRFNZq5dgxVu7UX/plwHEyy+ORH+NPb+4DCOx51J+zuEX7sMrP7Xj6Et/MI4tPu+j+M3aHrzujgH88p+vGsdd65bhn59+Az77xjNRVcEfrURE5YQ/9YkoJ95yzkq89ZwVAIBXBo+h808vmDyiqSwWC4QLP4uVN9wHa40AABgdeA57fnEZDkfvN86bGDmE/dJH8Npv3Jg4egAAULHwJBy54he4/ukW/Od9OzB0LP6CYfmiavzk3RfggU0Xw7ZsUd6/JyIiMh/7UJuEfaipFO3Yfwivu/XPGB3XUFNpxQ/eeR7efcEpqK4svNfuo+oL2He/29giHACEi7+ABae5sP8P/w9jgyd2WaxZex2CuAlfe3QAYxMnfmR+8MLT4H/bOWhYWJ3XsRMRUX6km9cYqE2iP0Hr1q1DRUUF2tvb0d7ebvawiLLm/c12fOPPJ8LoqXW1uOkqGz580WlYXFNp4simmhg5hAORTTi845cpH7dULcLes27Ge3vPhdJ/1Dh+1vJFCLScjyttjfkaKhER5VFXVxe6urowPj6O559/noG6UHGFmkrVoeEx3PiTbfjds68lHW9YWIX2y9biY5evwbJFNSaNbipN0zC47TYMPPp5IKHrh3V5M24b9+J7T51YXa+usGLzhjPw2TeegZrKCjOGS0REecQV6gLHQE2l7tGdMfgffAH3b9+XdHxBlRUfvuh03HSliNMbCmejkyMvRbD/gQ9gYliFsuqjeNeTV+PA0RMB+yqxET9sOQ9nrVhs4iiJiCifGKgLHAM1lYtn9h7ENx58AT9/4pWk+uNKqwXvuuAUfOYNNrzuZPP/DWiahqd2H4D310/gjztPbKFev6AKt163Hh9wrObmLEREZYaBusAxUFO5eSl2BN98SMHtf38ZR0bHkx67bv1KeN94Bi7Nc+/mfQeH8acXDiDy/H5s3bHf6Cete6/9FNx63blYsaRwSlSIiCh/GKgLHAM1lasDh4fxvUdexPce3YnYkdGkxy5f2wDv1Wfg2nNWzMtq8OHhMTyk9EPacQBbdxzAU6+m3tTF1rgQ33/neXCtW57zMRARUfFgoC5wDNRU7g4Nj+H//v4yvvmXKHYPJq8Mv/7kJei4+gxsPH8VKrPYJGVsfAJ9uwch7diPrc8fwGMvxTA6nvpHXm2lFVeIDXjL2SvhueR0LKjiTYdEROWOgbrAMVATxY2MTeDuJ16B/8EX8K/XDiU9dnr9AnzqKhs+eOFqLKyeveWepml4fv/heIDecQAPvnAAg8dS79hosQBNp9Rhw7rlcJ25HJeuqUctQzQRESVgoC5wDNREySYmNNy/fR98D76Av700kPTYskXV+PgVa/Gfl66ZsonKvoPD2LpjP6TnD0DasX/KanciW+NCONcth/PMZbj6jGXckIWIiGbEQF3gGKiJUtM0DQ8rMfgefAG/n9TLelF1BdouPh1X2Rrx52g/tu7Yj3++enDaay1bVI0NZy6L/zljOdY2Fk6bPiIiKnwM1AWOgZpodk/uGcQ3HoziF/94BRNp/KSqrbTiSrERG85cBue65Tj/5KWwWtnqjoiI5oaBusAxUBOlT+k/jNv+ouCOx1/GsbETm61YLEDzqQI2nLkMrnXLccnprIMmIqLcYaAucAzURJl77eAwbn/8Zew/PILL1zbgDbZG1kETEdG8YaAucPoTtG7dOlRUVKC9vR3t7e1mD4uIiIio7HV1daGrqwvj4+N4/vnnGagLFVeoiYiIiApbunlt7jsmEBERERERAzURERERUTYYqImIiIiIssBATURERESUBQZqIiIiIqIsMFATEREREWWBgZqIiIiIKAsM1EREREREWag0ewBE6fL7/eju7oYsy3A6nRBF0XhMURR4PB60tLSYOMLMKYoCn88Hm80GABAEAW1tbWl/fjAYRDQahc/nm/MYSnFeiYiI8omBOkuyLMPr9cLlckEURSiKgmg0ikAgYPbQSk5HRwcEQYDH40EkEkl6TFVVrF27FoqioKOjw6QRZkZRFDQ1NWHnzp0QBAEA4PV64ff7Z/we9BAOAD09PRkF8FRKbV6JiIjyjVuPZ0mWZbjdbiiKAlEU0dLSktZqIbcenxu32w1VVacEPwBwuVzo6+vDwMCACSPLnMfjgSAISX9fVFVFfX090v1n2dTUBKfTmdUKNVBa80pERJQr3Ho8j0KhEDRNy/qtd5qdJElwuVwpH9Nf1BSLnp4eo9RDp69US5KU17GU0rwSERHlG0s+qGjIsgxVVeF0Oqc8FgwGjXKbYqCqKlRVTRlUBUEw6pnzoZTmlYiIyAxFHahVVYXX653ytvlkkiQhEonAZrNBVVUAyGk9qCRJ6OvrQ0NDA3p7e7F582ZjpZFyR5IkCIIAu91uHJNlGd3d3VAUBQMDA0Uz74qiTPtYQ0MD+vv78zaWUppXIiIiMxRloPZ6vVAUBQ6HA5IkzbiSFw6H0d3djVAoZBzT395OVS86F3rtNADY7XY0NTXlZUXP8e2HsPfg8Lx/nWyctKQGvf91ZU6uFYlEIIoigsEggPgLqu7ubng8nnkvtfF4PDOG4FTnZ9MZQ3/hlw9mzisREVEpKMpAnfhLvru7e9rzVFXFpk2bsHPnzqTjTqcTXq8XwWAw6w4Jdrs9aWVPFEXEYjGEw+F5bzW29+AwXhk8Nq9fo5BIkoRAIJD0nHV0dKC+vh4NDQ1J860oCgKBAGw2G6LRaNK7BoqiIBwOQxRF9Pb2wuPxzFojnOuuLTOt+MZisZx+rdlkMq9EREQ0VVEG6nT19PRAFMWU4WXjxo1JIUIPFelIXO1ORRRFRCKReQ8iJy2pmdfr50KuxqjfpJfq3YiGhoak+VZVFS6Xy3iXQFEUuN1u4x0Jt9uNbdu2GdfbsGGD8XG+NDQ0GGOdTFXVvJVYZDKvifTV7MRzGbyJiKhclXSgDoVCRnCZTBRF42YsQRDgdDrndBNYfX09tm7dmrRKnS+5KqUoBpFIBIIgTFlJVlUViqIkBdDJHTJEUYQkSca5iQRBMI7PtEqd65IPQRAgCMK0q9HTddzItUzmVZeqT7aiKDl5x4eIiKgYlXSg7uvrQ2tra8rH9AChKEpWYbi5uXlKGNF3l6Pcma5WXg/Pk9vPpQqqiqKgr68v5fVlWZ4xUM/HRj2tra1Tau310J6vDh+ZzmswGEx5Q68oinA6nbPe00BERFSKSroPdTpvnWey6pjK5DCu1+ZypS53FEWBLMtwOBxTHtOfX/2diGAwiObm5qRzZFk2rqOq6pR3LWZaKZ5PXq8X4XA46VggEEgK73r5iv49TKa335uLTOd1tq+j7xRKRERUbkp6hXomemDINkj5fD74/X4AQH9/P1RVzaged2hoKOnjmpoa1NQUfm10vni9XgDxm+T6+/unlBs4nU50dHQgEokgFotBFEWsWbMGW7duhd/vT3nD6OTnPFXIzgdRFBEKheD1euFwOKAoChobG5NejMViMfT19SWNWVVVdHZ2GmUZPT09AOKryem2g5zLvMZisaQXK5IkGfXo+uq+GfNIRESUK8PDwxgePtFBbXJOm07ZBupcyqan9erVq5M+/tKXvoSbb745yxGVjnTatqU6RxAE43nR36nQw/Xk8o1YLGZKDTwwtUvMZKIoTtnyO7Hv+lxLUeYyr6lWwyeXyZix0k9ERJQrnZ2duOWWWzL+vLIN1HowMHtFbdeuXUl7w3N1OjdsNpuxIUlnZye2bNkCIB5gE0Ohvlsht9aenSAI6OvrM14AOJ3OvHdHISIimk+bN2/GTTfdZHw8NDQ0ZfEzlbIN1IVi6dKlSYGaciMQCECSJMRiMTgcjqSOG4llFr29vbO2QaQT9DrpVC9AwuEwb0gkIqKiNtfS25IO1DPdJKW/Nc2VydI0002hiWUW7J2cGb2Th97NQ28/2dfXl7LjDRERUTko6UA9+e39RHrQNqt2VudwOFBRUYH29na0t7ebOhaidOir0LIsIxwOw263s6sNERGVlK6uLnR1dWF8fDyt80s6ULtcrmlvvopGowXx9nRvby9LPqgozXZDJRERUbHSFzqHhoZQV1c36/kl3Ye6tbUVsVgsZdlHOBzm5itERERElLWiD9Sqqk7bqksQBGzZssXouavTN19h/SwRERERZasoSz78fj96e3uhKIrxx+VyQRAEbNy4MSkot7S0QBAEeL1e2Gw2o6Y6EomYNPpkrKEmIiIiKiyZ1lBbNE3T5nlMlIJekzM4OMgaaiIiIqIClG5eK/qSDyIiIiIiMzFQExERERFlgYHaZA6HA+vXr0dXV5fZQyEiIiIixGuo169fD4fDkdb5rKE2CWuoiYiIiAoba6iJiIiIiPKgKNvmUXny+/3o7u6GLMtwOp0QRdF4TFEUeDyeou0tHgwGEY1Gp93ZczalPDdERESFjoGaikZHRwcEQYDH45nSR1xVVaxduxaKoqCjo8OkEWZGURQjQPf09KCtrW3O1yq1uSEiIiomLPkwGW9KzEwkEoHT6ZxyXBAENDc3o7Oz04RRzY0oiggEAggEAkkrynNVSnNDRERkpkxvSmSgNllvby+2b9/OXRLTJEkSXC5XyscURclJMC1WnBsiIqLcaG9vx/bt29Hb25vW+Sz5oKIhyzJUVU25ChsMBqEoCqLRqAkjMx/nhoiIyDwM1EXslZ9fjPEj+8wexowqFq7EKe/+W06uJUkSBEGA3W43jsmyjO7ubiiKgoGBAQiCkJOvVWw4N0REROZhoC5i40f2YfzQK2YPI28ikQhEUUQwGAQQv9muu7sbHo9nzt0x0uXxeKAoSkbn57OrhplzQ0REVO4YqItYxcKVZg9hVrkcoyRJCAQCSd0wOjo6UF9fj4aGhqQAqygKAoEAbDYbotEoNm/ebKzQKoqCcDgMURTR29sLj8cza31xIBDI2fcxHzKZGyIiIsotBmqTORwOVFRUoL29PeMbE3NVSlEMJEkCgJQ1wg0NDYhEIkZoVFUVLpfLqBlWFAVut9toJ+d2u7Ft2zbjehs2bDA+LkaZzE0ifTU78VwGbyIioniXj66uLoyPj6d1PgO1yXp7e7n1eBoikQgEQZiykqyqKhRFSaoP1gOmThRFSJJknJtIEATj+Eyr1IVc8pHJ3Oj8fv+UntSKoiAYDGbVD5uIiKgU6Aud+tbjs2GgpqIgSVLKFVg9PNtstqTjsVhsyrmKoqCvry/l9WVZnjFQF3LJR6ZzEwwGU27wIooinE7ntNcjIiKi1NiHmgqeoiiQZTllc3V99bWhoQFAPCw2NzcnnSPLsnEdVVWNcxOvkSqA55OqqlBVNePPy3RuZvsaoihmtBJPREREXKGmAuf1egHEb7Dr7++fUqrgdDrR0dGBSCSCWCwGURSxZs0abN26FX6/P6mNnCiKiMViU8JzqpCdD6qqorOz0yjN6OnpARBfUU5ni/C5zE0sFkt6wSFJklFTrq/QmzEXRERExcyiaZpm9iDKkV6TMzg4yBrqeZBYE62qKtauXYuBgQHIsoxNmzYl3YRYX1+fFChLmR7e9RcakiTB6/UiFAoZ3z/rqImIiOLSzWss+aCSZLPZjPKGzs5ObNmyBQBgt9uTyh5UVYUoimURpoF4GUhiHbnT6SybFxNERETzhSUfVJICgQAkSUIsFoPD4UjquBEKheD1euFwONDb24tQKGTiSPNPr5NOFaLD4TBvSCQiIsoQSz5Mor+FsG7dujn3oSaaK0mSoCgKnE4nRFGELMvo6+tDc3NzUt05ERFROUrsQ/3888/PWvLBQG0S1lBTIZBl2aipZtkHERFRsnTzGks+iMqY3W7nijQREVGWeFMiEREREVEWGKiJiIiIiLLAQE1ERERElAUGaiIiIiKiLDBQExERERFlgYGaiIiIiCgLDNRERERERFlgoDaZw+HA+vXr0dXVZfZQiIiIiAjxnRLXr18Ph8OR1vncKdEk3Ckxc36/H93d3ZBl2dgyW6coCjweD1paWkwc4dwFg0FEo1H4fL4pjymKAp/PB5vNBgAQBAFtbW1z+jqlPIdERES5xp0SqeR0dHRAEAR4PB5EIpGkx1RVxdq1a6EoCjo6OkwaYWb0oAwAPT09KUOyoihoamrCzp07IQgCAMDr9cLv98/p+yy1OSQiIioEXKE2CVeo58btdkNV1SlhEABcLhf6+vowMDBgwsiy09TUBKfTOWWF2uPxQBCEpOOqqqK+vh5z/adbqnNIRESUa+nmNdZQU1GRJAkulyvlY4qiJJUwlIKenh6j1EOnr1RLkjSna5bbHBIREc03lnxQ0ZBlGaqqwul0TnksGAxCURREo1ETRjY/VFWFqqopA64gCEYddCbKbQ6JiIjygYGaioYkSRAEAXa73TgmyzK6u7uhKAoGBgaM1dtSoCjKtI81NDSgv78/42uW2xwSERHlAwN1EVO+1Iyxwb1mD2NGlXUnQbylLyfXikQiEEURwWAQQHwFt7u7Gx6PJ2V3jFzyeDwzBtxU5893twxVVTP+HDPnkIiIqFQxUBexscG9GBt4xexh5I0kSQgEAkndMDo6OlBfX4+GhoakAKsoCgKBAGw2G6LRKDZv3mysvCqKgnA4DFEU0dvbC4/HM2vdcCAQmJfvaSYzrRTHYrE5XTOTOSQiIqL0MFAXscq6k8wewqxyNUb9BrxUtb8NDQ2IRCJGGFRVFS6Xy6gFVhQFbrfb6Grhdruxbds243obNmwwPi4kDQ0NAFKvRKuqmnFpRiZzmEhfzU48l8GbiIjoBAbqIparUopiEIlEIAjClJVkVVWhKEpSuJzc/UIURUiSZJybSBAE4/hMq9RmlHwIggBBEKZdjZ6uU8d0MplDXap+14qiIBgMznlzGSIiolLDQE1FQZKklCurenie3FouVQhVFAV9falfhMiyPGOgNqPkAwBaW1undN3Qg32mHT4yncNgMJhygxdRFOF0Oqe9HhERUblhH2oqeIqiQJZlOByOKY/pq6p6eUQwGERzc3PSObIsG9dRVdU4N/Eac61JzhW9Rd5kXq8X4XA46VggEMg44Gc6h7Pd8CiKYkYr9kRERKWMK9QmczgcqKioQHt7O9rb280eTsHxer0A4jfO9ff3TylBcDqd6OjoQCQSQSwWgyiKWLNmDbZu3Qq/35/UHk4URcRisSnhOVXIzgdVVdHZ2WmUXPT09ACIrxTr36MoigiFQvB6vXA4HFAUBY2NjRmVW8xlDmOxWNILE0mSjNpzfSXfjDkjIiLKh66uLnR1dWF8fDyt87n1uEm49fj8SqyJVlUVa9euxcDAAGRZxqZNm5JuQqyvr08KinSirlp/QSJJErxeL0KhkDFPrKMmIqJSx63HqazZbDajbKGzsxNbtmwBANjt9qRyBn0nQobpZIIgJNWbO51OvuggIiKaBks+qCQFAgFIkoRYLAaHw5HUcSOxhKK3txehUMjEkRYuvU46VYgOh8O8IZGIiOg4lnyYhCUfVAwkSYKiKHA6nRBFEbIso6+vD83NzUn16URERKUo3bzGQG0SBmoqJrIsGzXVLPsgIqJykW5eY8kHEc3KbrdzRZqIiGgavCmRiIiIiCgLDNRERERERFlgoCYiIiIiygIDNRERERFRFnhTYo74/X4IggAgvllI4tbORERERFS6GKhzwOVywefzGV0QbDYbRFFM2kyEiIiIiEoTSz6yFAwGIYpiUksxn8/HME1ERERUJhios+T1euFyuZKOMUwTERERlY+iLvlQVRVerxeCIMDn8017niRJiEQisNlsUFUVAHJS46yqKlRVhSAICAaDAIBoNAqPx8Pd5IiIiIjKRFEGaq/XC0VR4HA4IEkSnE7ntOeGw2F0d3cjFAoZxyRJgsvlQiQSyWociqIAiG/LrAd0VVWxdu1a7Ny507hJkYiIiIhKV1GWfPh8PoRCIXR0dMwYWlVVxaZNm7Bly5ak406nE7FYzFhVnqtYLAYASavRgiCgubkZnZ2dWV2biIiIiIpDUQbqdPX09EAUxZShe+PGjQgEAsbHkiTB7Xan9UfX0NAAAFPKOwRBgCzLM45teHg46b+UP8PDw7j55ps59ybh/JuHc28ezr25OP/mKZe5t2iappk9iGw0NTWhubk5KRzr9JsFU5V2hMNhuN1uDAwMZFWaYbFYsG3btqQuH263G6qqzlhSsnv3bqxevRq7du3CqaeeOuevT5kbGhpCXV0dBgcHsXTpUrOHU3Y4/+bh3JuHc28uzr95in3u0x1/Sa9Q9/X1TXtzoH5cr4OeK7vdPuUaqqomBWwiIiIiKl0lHaj1DhwzyTZQ+3y+pNVxRVGgKAo2b96c1XWJiIiIqDgUZZePXNCDtn5j4VzpHUa8Xi8aGxsRjUYRiURmDfJ6pc2rr76adLympgY1NTVZjYlmNjQ0lPRfyi/Ov3k49+bh3JuL82+eYpv74eHhpHrvgwcPAjiR26ZTtoE6l5xO54yt+1IZHR0FAFx44YXzMSRKw+rVq80eQlnj/JuHc28ezr25OP/mKfa5P3jwIOrq6qZ9vGwDtb7Bi96pI9/WrFmDaDSKqqoqWCwW4zhXqImIiIjMMXmFWtM0jI6OYtWqVTN+XtkGarNZrda0dlNUVRWSJMHr9SIajc75HMqNYDCIaDQKm82GaDSKzZs3cwOfPPB4PGhqaoIoilNeBE/XGpNyR5ZleL1euFwuiKIIRVEQjUZTdlei3NP3TFBVFb29vfB4PBm/K0pzw9+v86uU5rekA7X+gz+VVJuyFBpZltHX14eGhoZpv490zqHcCAaDiEQixq6bsixjw4YN2LZtm8kjK319fX0pN2ISBAE7d+40YUTlR1EUeL1eiKKIlpYWhuk88Xg8cLvdRoDWd/rNtuUrzY6/X+dXqc1vSQdqu91ulHZMpj95hdzezm63p2zLl+k5lBsejyept7j+90uSJK4WzTOn0znlhYssy1AUhaEiT0KhUEH/vCxVsVgMoVDI+BmjLwL19fXx58484+/X+VVq81vSbfNcLte0T1Q0GuUPI0qbvvPl5Hc0RFGccQMfyo2NGzdOOSZJElpaWkwYDVH+hEKhpHcD9J9Fzc3NZg2JiFIo6RXq1tZWeL1eKIoyJQiFw2H4fL5pP1dVVXi9XgiCMON5kiQhEonAZrMZq+EdHR05GT+dUKjPRzrbzBe7Qpj7ySujXq93xrGUkkKYf/36+tuzvb29ZXH/QKHMfaJAIACfz8e5P46/g/OLz8v0ij5Qq6o6bS9pQRCwZcsWeL1eo+4ViIdpvQ5wMj2AOxyOWd/KD4fD6O7uTrq2Xt/GVcvcKJTnQw90k0uISuWtqlQKZe4nkyQJDocjp9csRIU2/4k/M+12O5qamor+JqLpFNrcAyfu4XC5XCUdTApx7onPS1q0IuTz+bSWlhbNbrdrADQAmtPp1FpaWrRQKDTl/EgkonV0dGiBQEDz+Xyaz+dL6+vY7Xatra0t5WMDAwOaIAjawMBAys8LBAIZfU8ziUaj2mxPVTrnFDuzn4+Ojg6to6PD+DgajWp2u11zOp1ZX7vQmT33icphvicrpPnXCYKQ8udtqSmkuR8YGNDa2tqSfg6VskKZ+3L4/ZqJXD8vpTK/RblCnemr87lsvDKbnp6eadt1bdy4EYFAAG1tbQDir8zSvSM+8RUdpS8fz4fP54Pf74ff7ze+Vqo2buUmn/8WZFnOenfTUmPWzyL9/oFyrmPP99wLgoBAIACLxYLGxsaSXqmeDX8HF6ZMnpdSU5SBuhCEQqFpg5QoipBlGaqqQhCEeQn0lCxfz8fkX2B6b95yls9/C93d3QXd6tIM+Zj/+vp6bN26lV0+JsnH3Hs8HqNdYeK1I5FIWQdq/g4uTJk8L6WmpLt8zKe+vr5pf7Hrx0u5vrbQ5OP50H8Q6FRVhaIoJftqO135/Lcgy3LZvyMwWT7mv7m5ecrXUBQFTU1NWV232M333MuyjGAwOOUasVisJANJJvg7uDCV8/PCQD1H6bzCytVfmul6aWd6TinLx/OxadMm9PT0GB97vV5s2bIlq2uWgnz+W2Df6anyMf+TV6b1G7vL/cXkfM+93W5HR0dH0uqqJElQVbVsutxMp9B+B1PcXJ6XUplflnzMA/0vU7a1noqiIBwOG3fFut1uOBwOtLW1GV8jnXPKXa6eD5/PB1mW4ff70d/fn7R7GaWWq7lPvF45dPjIlVz+3ff7/QCA/v5+qKrKHUJnkau537x5szH3ANDb24tt27ax9GkG+fwdTOmb/LyU2vwyUBcwURTR0dExY51cOudQbrAOz3wMcebhzxhzCILAuTcJf7/Or1KbX5Z8zAP97QvWehYGPh/m4dybi/NvHs69eTj3hanUnxcGaiIiIiKiLDBQz5EoitPe8KDXB7HGLX/4fJiHc28uzr95OPfm4dwXpnJ+Xhio58hut097Z6r+l4k9W/OHz4d5OPfm4vybh3NvHs59YSrn54WBeo5cLte0r8Ki0ShvXsszPh/m4dybi/NvHs69eTj3hamcnxcG6jlqbW1FLBZL+RcnHA7D4/GYMKryxefDPJx7c3H+zcO5Nw/nvjCV8/PCQD0DVVWn7WMpCAK2bNkCr9ebdFzf8KClpSUfQywrfD7Mw7k3F+ffPJx783DuCxOfl9QsmqZpZg+ikPj9fvT29kJRFMiyDCDef1gQBGzcuHHKXwZJkhCJRGCz2Yy6oVLpqVgI+HyYh3NvLs6/eTj35uHcFyY+L7NjoCYiIiIiygJLPoiIiIiIssBATURERESUBQZqIiIiIqIsMFATEREREWWBgZqIiIiIKAsM1EREREREWWCgJiIiIiLKAgM1EREREVEWGKiJiGje+f1+WCwW409TU5PZQ8oZr9eb9L25XC6zh0REecZATUREeeF0OhGNRhGNRhEKhcweTs5s3rzZ+L5KfXtlIkqNgZqIKAdcLlfSKqX+Z65kWUZ9ff2U63k8nhyOOr8EQYAoisafmRTTfCZ+XzabLevrEVHxYaAmIsqBSCQCTdOwbdu2pLAoy/KcrtfZ2QlVVQEAbW1tGBgYgKZpCAQCuRhuweN8ElExYaAmIsqhWCyGlpYWCIIAAFAUJeNr+P3+pDpcr9drXK/ccD6JqBgwUBMR5VAkEoHL5TJWVTMNgIqioL+/31hN1csJyhXnk4iKAQM1EVEOSZIEp9NphLZoNJrR5/t8Pvh8PkQiEQDxG/nKGeeTiIoBAzUR0TyYy4pqOByG2+0GEA+SANiC7TjOJxEVMgZqIqIc0VdTARjdHtINgKqqIhKJwOl0Jt14V84rqpxPIioWDNRERDmi1/sCma+odnZ2wufzATixmlru9b6cTyIqFgzUREQ5IsuysQKaGNz0G+Jm+jybzWZ0nmC9bxznk4iKBQM1EVGOxGIx4/8TA+Bsq6qdnZ1oa2szPu7r6wPAel/OJxEVCwZqIqIcSKz31aXTO9nv92Pz5s3Gx7IsGyuw5byiyvkkomLCQE1ElAOJ9b662ep+9R7JdrvdOMZ63zjOJxEVEwZqIqIcSKz31TU3NwOYvney3iM5USb1vm63GzabDRaLBRaLBS6XC263G263Gy6XC01NTXC5XAiHw2l9D263G01NTcb10r0B0OPxwGKxoL6+Hi6XC8FgMK3Pm4kZ80lENFeVZg+AiKgUJNb76vRWb3oNb6JwOJyypjeTet9QKARZltHU1IS2tjYEAoEp50iSBLfbje7uboRCoVmvpygKPB4PJEmCoiizrupKkmR871u3bk1aHc6GGfNJRDRXDNRERFlKtZoKzFyiEIlEpgRgRVEyrvedLTA6nU5s3boVTU1NCAaDSTfrpSJJUlKgno0+ZkEQchamzZxPVVXR09NjrILbbDa0trYa9dtERKkwUBMRZUmSpJSBVg+Ak9u8eb1eeL3elNcBMqv3TaekwW63w263w+v1zhqoo9Gocc5s23wHg0G0trbC4/GgpaUlrfGmw6z51K+xceNGYw5kWUZnZydUVU35DgAREcAaaiKirEUiEaO+N1GqVm+yLKOxsTFlwJtLva8kSRBFcdYV1ObmZqiqOmsPZ50gCEk7DE6ml4Po31cuSyryPZ+yLMPtdsPj8cDn8yWttNvtdvh8Pni9Xrjd7hnnhIjKFwM1EVGWYrFYykCbeEwPgJ2dnejo6Eh5HX1FNd1wqpc0pBPA9bGkqj/Wqapq1CknhuVUwuEwnE6nMeZc3vSX7/kMBAIIhUIzrmKLoohQKIRAIJD2ixIiKh8M1EREWZBlOeVqqi6x7ndyj+REc6n3zSSAp1MPndj7eaZAHQ6HjZKISCSS05Z0+Z7P6cpFpqOvVhMRJWKgJiLKwnT1vjo9AEYikSk9kidfB8h9/bROL1WY6dq9vb3G4w6HA8DUemX9Y321ONUGLNnI53wqijJtuch0BEGAzWZj6QcRJWGgJiLKQiAQmLG7hR7WJEmadjUVOBGOZ1qdnSzd+mkgHh4zCevTddQIBoPGDYh6qMxl/XQ+5zNxpT0TbW1t6O7uzvjziKh0MVATEc2BLMtwuVxQFAU+n2/aulq9JnnLli3TBl9Zlo3NV9Jtz5ZJ/bS+0Upra+u056iqisbGRuPjVIF68mp0LuunzZjPaDSa8nFZllFfXw+LxZJyJVoQBNZRE1ESBmoiogzIsgyLxYKmpiYjUAaDQdTX18Pj8Uw53263w+l0TmkrpyiKEdo2bNgAQRAgCALC4bCx6+BMZQWZ1E/rG7rMVPs7OSynCtSKoiStHueifrpQ5jORJElGYOZKNBGlg32oiYgyYLfboWla2uc7nc5pNykZGBiY8zjSrZ+WJAmSJKGjo2PW+unEkKqv3Oq9qFNtCiNJUtb9pwtlPhMllnSkCvVERJMxUBMRFaF066fdbrfRSzlTeqcPWZanhPH5qJ/Ot6amJsiyPKVmWxAEbNu2bdrP07d7JyLSseSDiKjIpFM/raoqXC4XRFGcMRzq10usn9aJooi+vr6UnTzmo/90vrW2ts5p98NAIDBjPToRlR8GaiKiIqPfcDfd6nA4HEZTUxPsdvusYRqI11anWukWRRGqqqbshKGXROSq/7QZBEGAy+Uy5jMd4XAYLpcr7ZtHiag8sOSDiKhIeL1eyLJsrA53dnYm3TSnqipisRicTicikcisYdfr9SIcDkNRFEiShFAoZNRmA/GSiFAoZIRHVVWxadMmqKqaVPLhcrmm3a2w0LW0tMDj8UAQhLS2KI9EInNa1Sai0mbRMrkbhIiIaA78fj96e3uNjiOFJhgMIhqNYvPmzVNWn1VVRWdnJ2w226x9q4PB4JQXJkRU+rhCTUREZa+trQ2KoqCzs3NKj2lBEODxeIq6vIWI5hcDNRER5YXeExpA2vXd+SSK4py6oXi9Xvj9fuPjYr5Rk4jmhiUfREQ07/T67kSlsuJbyt8bEaWHgZqIiIiIKAtsm0dERERElAUGaiIiIiKiLDBQExERERFlgYGaiIiIiCgLDNRERERERFlgoCYiIiIiygIDNRERERFRFhioiYiIiIiywEBNRERERJSF/x9CbPHz9eWoOwAAAABJRU5ErkJggg==", + "image/png": 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", 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" ] @@ -1124,20 +532,21 @@ } ], "source": [ - "r90_plot_vals = [0.1, 1, 4]\n", - "for R90 in R90_values_axion:\n", - " plt.loglog(m_arr, fdm_dict_axion[R90], label=r'$R_{90} =$ ' + str(R90) + '$ ~R_{\\odot}$', color=color_dict[R90], linewidth=2)\n", + "#New A_T\n", + "R90_plot_vals = [0.1, 100]\n", + "for R90 in R90_plot_vals:\n", + " plt.loglog(m_arr, fdm_dict_e[R90], label=r'$R_{90} =$ ' + str(R90) + '$ ~R_{\\odot}$', color=color_dict[R90], linewidth=2.5)\n", "\n", - "# plt.plot(0, 0, ls='--', color='k', label='Existing Limits')\n", - "# plt.plot(0, 0, color='k', label='This Work')\n", - "plot_existing_limits_axion()\n", - "plt.ylim(1e-6, 1)\n", - "plt.xlim(1e-11, 1e2)\n", + "plt.plot(0, 0, color='k', label=r'$A_T = 1.047$')\n", + "\n", + "plot_existing_limits()\n", + "plt.ylim(1e-7, 1)\n", + "plt.xlim(1e-11, 1e3)\n", "plt.legend()\n", "plt.xlabel('$M_{DM} [M_{\\odot}]$')\n", "plt.ylabel('$f_{DM}$')\n", - "plt.title('Axion Star Mock Roman')\n", - "# plt.savefig('figures/extended_limits_axion.pdf')\n", + "plt.title('NFW subhalos')\n", + "# plt.savefig('figures/extended_limits_nfw_thresh.pdf')\n", "plt.show()" ] }, @@ -1145,180 +554,147 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "### Dressed Black Holes" - ] - }, - { - "cell_type": "code", - "execution_count": 16, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "u_T_values_dressed = np.zeros((len(rho_arr), len(r90_vals_dressed)))\n", - "\n", - "for i, r90 in enumerate(r90_vals_dressed):\n", - " for j, rho in enumerate(rho_arr):\n", - " u_T_values_dressed[j, i] = u_t_dressed(rho, r90)\n", - "\n", - "# Creating the contour plot\n", - "X, Y = np.meshgrid(r90_vals_dressed, rho_arr)\n", - "plt.contourf(X, Y, u_T_values_dressed, levels=20, cmap='viridis')\n", - "plt.colorbar(label='u_T_values_dressed')\n", - "plt.xscale('log')\n", - "plt.xlabel(r'$r_{90}$')\n", - "plt.ylabel(r'$\\rho$')\n", - "plt.title('Dressed PBH')\n", - "plt.ylim(0,2.5)\n", - "plt.xlim(1e-1,100)\n", - "plt.show()" + "### Axion" ] }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 25, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ - "100%|██████████| 3/3 [03:14<00:00, 64.68s/it]\n" + " 0%| | 0/3 [00:00" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "for R90 in R90_values_dressed:\n", - " plt.loglog(m_arr, fdm_dict_dressed[R90], label=r'$R_{90} =$ ' + str(R90) + '$ ~R_{\\odot}$')\n", - "\n", - "# plt.plot(0, 0, ls='--', color='k', label='Existing Limits')\n", - "# plt.plot(0, 0, color='k', label='This Work')\n", - "plot_existing_limits_dpbh()\n", - "plt.ylim(1e-6, 1)\n", - "plt.xlim(1e-11, 1e2)\n", - "plt.legend()\n", - "plt.xlabel('$M_{DM} [M_{\\odot}]$')\n", - "plt.ylabel('$f_{DM}$')\n", - "plt.title('Dressed PBH Mock Roman')\n", - "# plt.savefig('figures/extended_limits_dressed.pdf')\n", - "plt.show()" - ] - }, { "cell_type": "markdown", "metadata": {}, @@ -1465,12 +807,12 @@ }, { "cell_type": "code", - "execution_count": 482, + "execution_count": 32, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", "text/plain": [ "
" ] @@ -1486,7 +828,6 @@ "ax = axs[0]\n", "for R90 in R90_values:\n", " ax.loglog(m_arr, fdm_dict_e[R90], label=r'$R_{90} =$ ' + str(R90) + '$ ~R_{\\odot}$', color=color_dict[R90], linewidth=2)\n", - " ax.loglog(m_arr, fdm_dict_e_101[R90], color=color_dict[R90], ls='--')\n", "\n", "plot_existing_limits(ax)\n", "ax.text(1e-4, 5e-7, 'NFW Subhalo', fontsize=18)\n", @@ -1499,7 +840,6 @@ "ax = axs[1]\n", "for R90 in R90_values_dressed:\n", " ax.loglog(m_arr, fdm_dict_dressed[R90], label=r'$R_{90} =$ ' + str(R90) + '$ ~R_{\\odot}$', color=color_dict[R90], linewidth=2)\n", - " ax.loglog(m_arr, fdm_dict_dressed_101[R90], color=color_dict[R90], ls='--')\n", "\n", "plot_existing_limits_dpbh(ax)\n", "ax.text(1e-4, 5e-7, 'Dressed PBH-like', fontsize=18)\n", @@ -1511,7 +851,6 @@ "ax = axs[2]\n", "for R90 in R90_values_axion:\n", " ax.loglog(m_arr, fdm_dict_axion[R90], label=r'$R_{90} =$ ' + str(R90) + '$ ~R_{\\odot}$', color=color_dict[R90], linewidth=2)\n", - " ax.loglog(m_arr, fdm_dict_axion_101[R90], color=color_dict[R90], ls='--')\n", " # ax.loglog(m_arr, m_arr**(1/2)*1e-2, color='k', ls='--', label=r'$f_{DM} \\propto M^{1/2}$')\n", "\n", "ax.text(1e-4, 5e-7, 'Axion/Boson Star', fontsize=18)\n", @@ -1523,9 +862,7 @@ "\n", "fig.subplots_adjust(hspace=0.0) # Adjust this value as needed to reduce space\n", "\n", - "\n", - "# If you want to save the figure\n", - "# plt.savefig('figures/extended_limits_all.pdf')\n", + "# plt.savefig('figures/extended_limits_all_thresh_sigma_seasons.pdf')\n", "\n", "plt.show()\n" ] @@ -1776,7 +1113,7 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": 11, "metadata": {}, "outputs": [], "source": [ @@ -1831,7 +1168,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 12, "metadata": {}, "outputs": [], "source": [ @@ -1895,7 +1232,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 13, "metadata": {}, "outputs": [], "source": [ @@ -1953,7 +1290,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 14, "metadata": {}, "outputs": [], "source": [ @@ -1976,7 +1313,7 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 15, "metadata": {}, "outputs": [], "source": [ @@ -2042,7 +1379,7 @@ }, { "cell_type": "code", - "execution_count": 49, + "execution_count": 236, "metadata": {}, "outputs": [ { @@ -2124,62 +1461,6 @@ "plt.show()" ] }, - { - "cell_type": "code", - "execution_count": 212, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "u_T = 0.9922123046508637\n" - ] - }, - { - "data": { - "image/png": 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1Y8cOO0qxTHV1dcrt++67T/fff/+Snqus3PwmLp/k87lgqzn3FZkf5r7i+dvE9aKS9I8vdlu8QiopM7fJy6zbKY/N2a+oZFb9AM7JmDZXez4ZNbtXJ+LSqZltutunj84PKrMv02fs/hfBajt27NAXvvAFS58z70HmscceU1dXl8LhsAzDkN/v1wUXXJDvMhYlsTBepsHAkjQ6Opoy/meprTGSFOw0LwBgtzMT5sy48VfNlZyPHzZXep59OXlkZhvNUeuAb6a1c5U5Fizli0m2S5ovJ8kvSSWzvvikuT77y1Ta6yXmlzJfkfmFx1ek5Be2tNeLUr/Mzb1u2c/M2kdK82Vy5nryMd/i9/Mto1V527Ztuueee5K34/H4vIaAxbI8yMTj8XkDeuPxuPbt26fOzk5FIhEZhqGmpiaFQiFt2rTJ6hJsUV5eXrADmQEgHcMwZ8mNv5p6iY+evX7szcU/74o1ZldqWYXZwrxyZls2574Va2Z1ya6WSladvT77UryC1lG3WM6wi0wsDzIbNmzQkSNHJEnPPPOMurq61N3dLUmqqKjQ5z73OXV0dGjDhg1W/+plCQQCikQiaR9LjI1JzF4CACeYPGEulJgSUhLXZ+6fmjj385SskioulyqqzZN+rlprTvdPXi44e31VlRk8gHyxPMgYhqFPfepT6u/v1+DgoAzDUH19vTo6OrR582arf51l6uvrk11IcyUCDlOvARSK6SmztSQ+Or9FJXE5eWQBT+ST1lwyE1Qul8pnAkvidsXl0qoLaBFB4crJGJnu7m4ZhqHm5mZt27ZN1113XS5+jaWCwaA6O9MPTBkaGlJTU1OeKwLgZYmzjo8NSWMRKTpkXo8Nz7SsvLawwbArzjcXRJwdTCoul8pnwkr5pbSgwNlyEmQ2b96szs5OVVQ45xS4ra2tCoVCikQi87qQwuFwxpADAMthGNKxN6TDz6dejrx47pN5+orNIJLSmjL7Um2OSaE1BW6WkyCTWC/GSfx+v/bs2aNQKJRy9utwOKxAIKDm5mYbqwPgFqdi0usHpdd+Kr3+pHk58Xbm/csvkyoDUmXtzCVgnhur4nJzxWfWJYLXWR5kMi3z7wTNzc3y+/0KhUKqra1Njpnp7e21tzAAjjV5Unr1x1Kk17y8+cz8fXxFUtWV0sXXSBe+R7roPdKF7zJDC6eeALLzGUZy8WEsgRWnIAfgLqfGpRcfkn4RloYenX+eLf8G6bL3S5e+z9y+41oCC7zJis9QW1b2BQC3mZ4yQ8tgt/TSD6TpybOPrVknBYIzl03mFGYA1iDIAMAyTMSlg1+T+ndL46+cvf/COuldzVLdndJF1zDgFsgVggwALMGpmPTE30pP/Z15XZJWVkrX3iXV/6E5zgVA7hFkAGARpqekp78hPfbnZ2cbrb1a+vWQ9O4283xAAPKHIAMAC/TWz6X/e5d0qN+8vfZd0m9+QXrXHUyDBuxCkAGAczAM6cm/k/pC5rmJyirMANP4aam41O7qAG8jyABAFpMnpYc+IT3/HfP2FbdLv/0N8/xEAOxHkAGADI4flv7lw2ZXUlGJ9MG/lRq3MAMJKCQEGQBI49ib0v+5RXr7F+bZn1u/K9V8wO6qAMxFkAGAOY6/Jf3Tb5onblxzqXTXY9IF77S7KgDpEGQAYJYzp6Tv/I4ZYsqrpbsOSFW1dlcFIJMiuwsAgEJhGNL/9wnptSeklX7p4z8kxACFjiADADMGuqXnv20O7G190DwDNYDCRpABAEmHn5d++D/M65t2SBtutrUcAAtEkAHgedNT0v/97+b4mNoPSjfcY3dFABaKIAPA8w5+TXpjwFyx93e+Kfl4ZwQcg8MVgKcdfcM8AaRkdimxYi/gLAQZAJ7271+UTh+VLr1e2thhdzUAFosgA8CzokPS0/9gXg/+DV1KgBNx2ALwrB/dJ02fka64TVp/k93VAFgKggwATxobNteMkaRb/treWgAsHUEGgCc9+b8lY1oKBKVL6u2uBsBSEWQAeM6pmPT0N8zrN/ypraUAWCaCDADPefqb0ulj0oXvlmpvtbsaAMtBkAHgKYZxdqbS9Z+RfD576wGwPAQZAJ5y6KD01s+lkpXSez5qdzUAlosgA8BTnv5Hc1vXLK2ssLcWAMtHkAHgGWdOnZ1y/d5P2FsLAGsQZAB4xtCj0kRcKr9MqvmA3dUAsAJBBoBn/Dxsbt/VzOkIALfgUAbgCWcmpBcfMq/XNdtbCwDrEGQAeMLwfmliXDr/Eqn6BrurAWAVggwAT/j5d83tu+6kWwlwEw5nAK5nGNLLD5vXr/pte2sBYC2CDADXO/ycdOwNqXS1tP6/2V0NACsRZGaJxWLq6OhQKBSyuxQAFnr5EXNbc7O5oi8A9yixu4BCEAqFFIlE1NjYqL6+PjU1NdldEgALJbqVrrjN3joAWI8gI6mzszN5fe/evTZWAsBqE0elV39sXifIAO5D1xIAVxs5IE2fkaquMC8A3IUgA8DVRn5kbmtusbUMADlCkAHgaq/8h7nl3EqAOzFGxiLxeDzldllZmcrKymyqBoAknRqX3nzavL7+JntrASBNTExoYmIieXvuZ+dS0CJjkerqalVUVCQvO3bssLskwPNGH5eMaakyYJ7xGoC9duzYkfJZWV1dveznpEXGIqOjoyovL0/epjUGsN8r/25u19OtBBSEbdu26Z577knejsfjyw4zBBmLlJeXpwQZAPZLjI8hyACFIRfDLhzbtRQMBuXz+ZZ0icVidpcPIMcmT0iHDprXGR8DuJdjW2R6e3vtLgFAATs0YK4fs2ad5K+xuxoAueLYFhkAyOb1J83tpe+TfD57awGQOwQZAK40O8gAcC+CDABXev0pc3vp9fbWASC3CDJzxGIxRaNRu8sAsAzH3pTGX5Xkk9ZttLsaALnk2MG+Vtq5c6cOHjyoSCSSvASDQfn9frW1tam5udnuEgEswmsz3UoXvVsqW2NvLQByiyAjaevWrXaXAMBCifEx6+hWAlyPriUArpMYH3MZA30B1yPIAHAVY/rsQnjMWALcjyADwFWiQ9JEXCpZaY6RAeBuBBkArvLmM+b2omukIkYBAq5HkAHgKm8+bW7f8V5bywCQJwQZAK6SaJF5x3W2lgEgTwgyAFyFFhnAWwgyAFzj2JvmRT7p4l+zuxoA+UCQAeAaiW6lC94prTjP1lIA5AlBBoBrJILMJYyPATyDIAPANZLjYwgygGcQZAC4RnLG0nvtrAJAPhFkALjC6WPSkV+a1wkygHcQZAC4wuHnJRnS+e+QzrvI7moA5AtBBoArHP6Zub3oGnvrAJBfBBkArnD4eXN70XvsrQNAfhFkALjCWzNB5kLOeA14CkEGgCsku5ZokQE8hSADwPFOHJGOvWFev7DO3loA5BdBBoDjvTXTGlOxXipbY28tAPKLIAPA8ehWAryLIAPA8ZixBHgXQQaA4yW6lpixBHgPQQaAoxkGLTKAlxFkADja8V9JJ49IviJp7dV2VwMg3wgyABwtMdC3slYqXWVvLQDyjyADwNHoVgK8jSADwNEY6At4G0EGgKO9/YK5ZUVfwJsIMgAcLRFkGOgLeBNBBoBjnTginXjLvH7BO+2tBYA9CDIAHOvIi+a2vFpacZ69tQCwB0EGgGPRrQSAIAPAsQgyAErsLqBQdHd3a2hoSIODg4pGo2pqalJnZ6fdZQHIgiADgCAjKRQKqaOjQ+3t7ZKkWCymlpYWVVZWanh4WH6/394CAaSVGCNDkAG8y/NdS+FwWG1tbQoEAsn7/H6/enp6koEGQOGZOi1Fh8zrF1xlby0A7OP5IHPw4EHV19fPu9/v96u9vV19fX2KxWL5LwyWmZiY0P3336+JiQm7S4GFokOSMSWtOF9asy7zfrz+3sbr736eDzLd3d0KBoNpH2toaJAk9ff357MkWGxiYkJf+MIXeCNzmdnjY3y+zPvx+nsbr7/7eT7IbNy4MeNjiZaYqqqqPFUDYKEY6AtAYrCvent7Mz42NGR2wKfregJgryMzQeYCggzgaZ4PMtl0d3cnZzJlYhiGJOn1119XPB5P3l9WVqaysrKc1oeFSbwus18fON/oz6RTklZWS9leWl5/b+P1LywTExMp3XxHjx6VdPazdCl8xnJ+2sVCoZDC4bAGBgayTr9+7bXXVF1dnb/CAABwmdHRUV122WVL+lmCTBqDg4PatGmTBgYGUqZlpzM9Pa2RkRGVlpbKN2vEIS0yAACkmtsiYxiGJicnVVNTo6KipQ3bdWyQCQaD6uvrW9LPjo2NZW1lqa2tVU9PD2NjAAAocI4NMrkSDAYVCoXU1NRkdykAAOAcCDKzdHR0qKWlhRADAIBDeH4dmYSdO3emDTGRSGTJXVgAACC3mH4t83xL9fX1aVtiBgcHGSvjcIs5s3lfX596e3tVW1ubXBBx69ateawWVuG19AaOb3i+a2lwcFChUGjeySETf+R79+7VwMCADZXBCokzmydmnyVOBNrf3z/vzObhcFh79+5VT09P8r6+vj51dnZmXTgRhYfX0hs4viFJMjzO7/cbkjJeAoGA3SViiXp6eoyBgYF594+NjRmSjKamppT7/H6/MTY2Nm//+vp6o6urK5elwkK8lt7A8Y0Ez4+RGRsbk2EYGS+J0xTAeRZzZvN9+/YpEAiknZbf1tamrq6uHFcLq/BaegPHNxI8H2TgXos5s3lPT0/Gk4MGAgENDg4m3xRR2HgtvYHjGwkEGbjWYs5s3t/fn3EV58T9kUjE2gKRE7yW3sDxjQSCDFyrt7c34yC+uWc2j8ViWVd7lnijcwpeS2/g+EYCQQaetJAzmyck3gCj0WgOK0I+8Fp6A8e3txBk4DmhUEiBQCDjWhMAnIvj23tYEA+eMjg4qO7ubg0MDJyzqTlhbn87nIvX0t04vr2JFhkUnGAwKJ/Pt6TLuWYetLS0aP/+/RkH/gFwLo5vb6JFBgUnV6tsBoNBdXV1pV17IhAIZBzsl+g7583RGXgtvYnj27tokYEndHR0KBQKZTyzeX19fcbWnMQbIOfccgZeS+/h+PY2ggxcbyFnNg8Ggxm/sQ0NDWV8g0Th4bX0Fo5vEGTgauc6s3miObm1tVXRaDTtm104HFZHR0fOa4U1eC29g+MbEme/host9szm6c6OGw6H1dXVxdlxHYbX0v04vpFAkIFrVVZWZp3FFAgE5p0UtK+vT729vaqtrU3+7NatW3NYJXKF19LdOL6RQJABAACOxRgZAADgWAQZAADgWAQZAADgWAQZAADgWAQZAADgWAQZAADgWASZWWKxmMLhsGpra+0uBQAALABnv54xODio/v5+VVVVZTwnBwAAKCwsiDdHJBJRbW2t+G8BAKDw0bUEAAAcy9FdS7FYTKFQSH6/X52dnRn34/waAAC4kyODTCgUUiQSUWNjo/r6+tKewj0h3RlP+/r6FAwGOeMpAAAO5/gxMg0NDdq4caO6urrmPRaLxbRhwwYNDw/L7/fP+7mOjg61t7en3M8YGQAAnMPVY2T27dunQCAwL8RIUltbW9rwAwAAnMPVQaanp0dVVVVpHwsEAhocHEyOmQEAAM7j6iDT39+vQCCQ9rHE/awZAwCAc7k6yMRisbTdSrPNDTK00AAA4ByOnLVkhUTAiUajksxAEw6HkzOZWlpa1NjYqPb29qxhaHp6WiMjIyotLZXP50veX1ZWprKyspzVDwCA00xMTGhiYiJ52zAMTU5OqqamRkVFS2tb8WyQmSsQCGjr1q2LXl9mZGSEczMBALAMQ0NDGYeCnItng0yiCynTYOCFKi0tlSQ99dRTuuSSS5L30yLjXPF4XNXV1RodHVV5ebnd5WCBarb3auzkGVWuKtHIvcHk/Zlez5q/7tXYiTOqXF2ikT8PpntKFCCOT2eb2yLzxhtv6Prrr09+li6FZ4OMVRLdSZdccokuu+wym6uBlcrLy3mjdJDTxSvlK5vW6eKitK/b3NfzdNHM/kXp90dh4/h0l9lDMxbL1YN9A4FAxllJibExS23KAgAA9nN1kKmvr884CykRcOrr6/NYEQAAsJKrg0wwGMzYIjM0NJT1HE0LlRgHw3gY9ygrK9N9993Ha+oSvJ7uwuvpLlZ8hro6yLS2tioajaYNM+FwWB0dHcv+HQQZ9ykrK9P999/Pa+owK0uLU7YJmV7PlSXFKVs4A8enuxBkZM4+Sox3mcvv92vPnj0KhUIp94fDYQUCATU3N+ejRAA5tvvxEUlS1apSbb/t6gX9zK1XXahin7kF4FyOnLW0c+dOHTx4UJFIJHkJBoPy+/1qa2tLCSjNzc3y+/0KhUKqra1NjplJLHwHwPnuffgFRU9OqmpVqe6+sWZBP/PoS29pyjC3AJzLkUFmsYvWNTU1WTIeJpvGxkYVFxdry5Yt2rJlS05/F4BUp85MpWwX9DOTUylbAPmza9cu7dq1S1NTyz/+HBlkCtHBgwdZ0wAAgAVIfOmPx+OqqKhY1nM5fowMACxFYpDvqcnp5BgbAM5DkAHgSdtvv1o+SdOS7n3kBbvLAbBEBBkAjpdp6nU2d99Yo8pVM+d3MXJRFYB8IMgAcLxb3zkzlfqdi5tKzRRswPkIMgAc79EXZ6ZSv7i4qdRMwQacjyADwPGWMv1aYgo24AYEGQAA4FgEGQAA4FgEGYs0Njaqrq5Ou3btsrsUwFN2Pz6ik5PTkhY3awmAfXbt2qW6ujo1NjYu+7lY2dcirOwL2KPzwMsyJBX7tOATRiasLCnWiclpzoAN5Bkr+wLAjBvWV6rYJ7Vcu27BJ4xMYPo14HwEGQCOttSp1xLTrwE3IMgAcLSlTr2WmH4NuAFBBoBnceJIwPkIMgA8ixNHAs5HkAHgWXffWKNVpebbIN1LgDMRZAA42lLOfJ3y8zPdS0zBBpyJIAPA0ZZ65uvkzzMFG3A0ggwAR1vO9GuJKdiA0xFkADjW7sdHNHZy0rzhW9pzMAUbcDaCjEU41xKQf/c+/IIMmW9kiz09AQD7cK6lAsS5loD8SyyCt7K0aNGnJwBgH861BAAAIIIMAAdb7tRrienXgNMRZAA41nKnXkvm6r5Vq0slidMUAA5EkAHgWMudei0pObYmenKS0xQADkSQAeBYyznzdcrzMAUbcCyCDAAAcCyCDAAAcCyCDABH2v34iE5OTkta3qwlAM5GkAHgSKzqC0AiyABwqplzK/lXly57VV/WkgGciyADwJGsWEMm+VxXzTzXVct/LgD5RZCxCCeNBPLLijVkEp54ZUxThtTz7CEWxQPywMqTRvoMwzAsqMmzEie8Gh8f56SRQB6dv+0HOjE5rdWlRTq248PLeq7dj49oy4PPyZBUtbpUb3/xNmuKBJCVFZ+htMgA8Ly7b6zRqlLz7ZBF8QBnIcgAAADHIsgAcBzWkAGQQJAB4DidB16WIanYZ90aMkzBBpyJIAPAcW5YX6lin9Ry7bplryGTwBRswJkIMgAcx8qp18nnfGnmOV+y7jkB5B5BBoDjnDozlbK1xMxCFLETk6wlAzgIQQYAJG2//Wr5JE1LuveRF+wuB8ACEWQAQKwlAzgVQQYAADgWQQaAo7CGDIDZCDIAHCUXa8gksJYM4DwEGQCOkos1ZBJYSwZwHoIMAEfJxRoyCU+8MqYpQ+p59hBTsAGHIMhYpLGxUXV1ddq1a5fdpQCulpM1ZGaEbr5CPklTBlOwgVzatWuX6urq1NjYuOzn8hmGYVhQk2fF43FVVFRofHxc5eXldpcDuN75236gE5PTWl1apGM7Puy45wdwlhWfobTIAAAAxyLIAHAMpl4DmIsgA8Ax7n34BRky37isnnoNwJkIMgCcw2du/KtLLZ96ncBaMoCzEGQAOMat75xZ5+WduVvnhbVkAGchyABwjFyuIZPAWjKAsxBkADhGLteQSWAtGcBZCDIAMMvdN9ZoVan51nhqMneBCYA1CDIAHIGp1wDSIcgAcASmXgNIhyADwBES42JWlhblbOp1QmLq9anJaQb8AgWOIAPAERLdSfnoVtp++9Uq9knTkjoPvJzz3wdg6QgyABwhH2vIJNx9Y41arl2nYp90w/rKnP8+AEtHkAHgCPlYQybl97008/teys/vA7A0BBkAjpCPNWRSft/M1GumYAOFjSADoOAx9RpAJgQZAAXPjqnXzFwCnIEgA6Dg5XPqdcL226+WT+bMJU5VABQugoxFGhsbVVdXp127dtldCgALcKoCIHd27dqluro6NTY2Lvu5SiyoB5IOHjyo8vJyu8sAAKDgbdmyRVu2bFE8HldFRcWynosWGQAFL5+L4aX83plxMoktgMJDkAFQ0BIDbatWleb9HEu3XjWzCN9VuV+ED8DSEGQAFLR7H35B0ROTkpS3gb4JT7wypilD6nn2EDOXgAJFkAFQ0PK9EN5soZuvkE/SlMHMJaBQEWQAIANmLgGFjyADoGCxoi+AcyHIAChYdqzoC8BZCDIACpYdK/rOxakKgMJGkAGALDhVAVDYCDIAkAUDfoHCRpABULDsWtF3Xh2s8AsULIIMgIJk54q+c7HCL1C4bA8yzzzzjN0lAChAdq7oOxcr/AKFy/Yg09LSYncJAAqQnSv6zsUKv0Dhsj3IRKNRu0sAgKwY8AsULtuCzGOPPabGxkbFYjG7SgBQoFjRF8BC5TXIPPPMM/rUpz6lCy64QMFgUAMDA/n89QAcohBX9GVhPKAw5TzIjIyMaNu2bbryyivV0NCg7u5ujY2NyTAM+f3+XP96AA5UCCv6zsXCeEBhykmQicfj+vKXv6wrr7xStbW12rlzp4aGhmQYhjZt2qSenh5NT08rGo3KMIxclAAAlmKcDFCYSqx6ong8rn379qmrq0uDg4OSlAwpTU1NamlpUWtrqyoqKlJ+rqmpyaoSALgA42MALMayg8yDDz6orq4u9fX1STobXurr69XW1qYHHnhAjz76aMafz/YYAO8pxPExCStLinVicjo5TqZQur0AL1tS19KDDz6otrY2FRcXq6WlRb29vTIMQxs2bFBnZ6eGhobU39+vz33uc6qsrLS6ZgAuVojjYxIYJwMUngW3yDz22GPq6enRvn37FIvFki0vfr9f7e3tamtr03XXXTfv53w+n3XVAnC9laVmq0chdivdfWONueLwyUmJ4X1AQVhQkPn85z+vnTt3yufzJWcbtba2qqWlRZs2bcp1jY7Q2Nio4uJibdmyRVu2bLG7HMCRCun8SpncetWF6nn2EOddApZh165d2rVrl6amlj9w3mcscNpQX1+furq6tH//fu3cuVOtra0qLy8/589deeWV+uUvf7nsQgtVPB5XRUWFxsfHF/T/ASCztX/xiKInJ1W1qlRv/9VtdpeT1tq/fETRE5OqWl2qt79YmDUCTmHFZ+iCx8g0NTWpp6dH0WhUlZWV+uQnP6m2tjY9+OCDS/rFADBXIZ1fKaOZr36xE5MsjAcUgCUN9r3zzju1b98+dXd368iRI7r11lvV1tamxx57zOr6AKCgMOAXKCzLWhCvoqJCmzdv1qOPPqru7m4NDAzo1ltv1ac+9Sk988wzFpUIwAucsn4MC+MBhcWylX0rKir0uc99To8++qi2bt2q73znO7r11ls1NDSkZ599NuPPEXgASIW9fsxcnHcJKBw5OUXBhg0bkgvhDQwM6Nvf/rY++MEP6stf/rJGRkaS+42Pj6uhoSEXJQBwmEJeP2YuupeAwmHZKQoyue6665Lry+zfv18PPPCAhoeHVV9fr3A4nOtfD8ABnNKtlHD3jTX67L/+bGaVX7qXADvlPMjMtmnTpuS6M93d3RoaGmLBPACO6lYCUFhy0rW0EO3t7ZxnCYAkZ3UrJTBOBigMtgUZyVybZu7ZsAHACRgnAxQGW4OMZI6bAeBdThsfk8A0bKAw2B5k0p1oEoB3OHl8DN1LgP1sDzIAvM2J42MS6F4C7EeQAWAbp3YrJdC9BNiPIAPANk7uVkqgewmwF0EGgG2c3K2UQPcSYC+CDABbOL1bKYHuJcBeBBkAtnBDt1IC3UuAfQgyAOwxc3YS/+pSx3YrJWy//WoV+8zupc4DL9tdDuApBBkAtrj1nReq2Gdune7uG2vUcu06FfukG9ZX2l0O4CkEGQB5t/vxEfU8e0hThvTEK2N2l2OJR196S1OGuQWQPwQZAHl378MvaMow34BCN19hdznWMMxN7MQk42SAPCLIAMir3Y+PaOzkpCR3jI9JYBo2YA+CDIC8ctNspdnuvrFGlatKJdEqA+QTQQZAXrlhEbxMaJUB8o8gAyBv3LIIXiYsjgfkH0EGQN64tVtpNhbHA/KLIAMgLz72rQFFXTjId67Z3Uuf+d5zhBkgxwgyAPJi3zOHktfd2hojpQ76nTYYKwPkGkEGQM7tfnxE0zPXV7twkO9ciVYZibEyQK4RZADk3L0Pm60SRZK+/P+8295i8mB2qwxjZYDcIsgAyCm3LoB3LkzFBvKDIAMgp7wwUykdFsgD8oMgAyCn3LwA3rnQKgPkHkHGIo2Njaqrq9OuXbvsLgUoGG5fAO9cWCAPSG/Xrl2qq6tTY2Pjsp/LZxiGYUFNnhWPx1VRUaHx8XGVl5fbXQ5QUNb+xSOKnpxUkaSv3nGN51pkJP4PgGys+AylRQZATnh1kO9cdC8BuUWQAZATXh3kOxeDfoHcIsgAsBytMalolQFyhyADwHK0xqSiVQbIHYIMAEvRGpMerTJAbhBkAFiK1pj0aJUBcoMgA8AyH/vWgKK0xmQ0u1XmM997jjADWIAgA8ASux8f0XeeOZS8TWvMfLNbZaYNupgAKxBkAFgicYZrSfrIe9fRGpPB9tuvVpHPvE4XE7B8BBkAyzZ7gG/V6lL9y8cbbK6ocN19Y42++rvXMPAXsAhBBsCyMcB3cRj4C1iHIANgWZhuvTRMxwasQZABsCy0xiwNrTKANQgyAJaM6dbLw3RsYPkIMgCWhOnWy8d0bGD5CDIAloTp1tZgOjawPCV2FwDAeZhubZ1EAPyj7z2nKcPczr4fQHYEGQCL8rFvDSS7lIp9dClZIRFatjxohpnPEGaABaNrCcCCzR0X8/e/ew0fthZhvAywNAQZAAvGuJjcYrwMsHh0LQFYEMbF5B7jZYDFI8gAOCfGxeQP42WAxaFrCUBWjIvJv7njZf6IxfKAjAgyADLa/fhIsntDYlxMPm2//WpVrS6VT9IUg3+BjAgyANLa/fiIPjMzVqNI0tfuuIZxMXl09401evuLtyVbZsZOTGrtXzxCywwwB0EGwDyJlphpw7zNeZTss/32q1XskwxJ0ZOTtMwAcxBkAMxz78MvaMqQfJKqVpUyuNdGd99Yo7//3WuYlg1kwKwlAEm7Hx/RvY+8kJxmXbm6VG9/8Tabq8LcadmffvA5/UfkCF19gGiRATDLvQ+/oOiJSRlimnWhSbTMJHznmUO0zAAiyACQ2RKz9i8fSbbEFPmYZl2I7r6xRh9577rk7U8/+Jw+9q0BGysC7EeQATwuMbB3dkvMVwkxBetfPt6gr91BywyQQJABPGz2FOvEwF5aYgrf3JaZLQ8+x9RseBZBBvCouVOsK1eX6u2/uo0Q4xCJlhmmZsPrCDKAB33sWwP69IPPMcXa4eZOzWbRPHiRzzAMw+4inCwej6uiokLj4+MqLy+3uxwgq8T06uiJyeR9X7uDriSnS7SuTc28m/skVa4q1fbbr+a1RUGz4jOUdWQAj5j7YSdx7iS3SLyG9z7ygmInJjUts6vpjzhzNjyAFpllokUGhS7RCpP4gOPburslFzWcmYVWxCw0FDArPkMJMstEkEEhS8xKSgzoLWZ9GM9Y+xePKDqzLhDhFYXKis9QBvsCLpRY4O4zD54NMSxy5y3bb79aVatLVaSzs5qYpg03okVmmWiRQSGZ240k8W3c6/ibQCGja6kAEGRQCPiwwrmk+xuRzAHfnHwSdiHIFACCDOxEgMFipZuCX8XfC2xCkCkABBnYgQCD5frYtwb0nWcOJW/z9wM7EGQKAEEG+USAgZX4e4LdCDIFgCCDXEt82JyanNKpyWk+cGC5dIGm2Ce1XLtOj770lmSIvzPkBEGmABBkkCuZBmcSYJArc//min3itAfIKYJMASDIwCq7Hx9R54GXdcP6Sj360lvzmvtXlRZpZUkxHyTIOf4WkS8EGYt1d3cnrw8NDWnbtm3y+/1Zf4Ygg+VI123Et2AUmkytg3Q/YbkIMhYKh8Pau3evenp6JEmxWEybNm3SwMBA1p8jyGAxEh8IMqRbr7pQPc8eSjmJIx8MKGQLCd601mAxCDIWamho0J49e1RfX5+8LxgMKhQKqampKePPEWSQTbYm+sQHAG/+cKJsf9uSVLW6VJJ0anKKv21kRJCxSCwWU2VlpcbGxlK6kjo6OiRJXV1dGX+WIIOEua0ts9/c03UX3XrVhXrilTGFbr6CN3g43uzWmpUlxZKUPGmlND/Y8PcPiSCjWCymUCgkv9+vzs7OjPv19fWpt7dXtbW1isVikqStW7cmHx8cHFRDQ4Pm/leEQiENDg6qt7c343MTZLxn7jfRdN1Es4ML3UXwonMFm9ktkolgzzHiPVZ8hpZYXFNehEIhRSIRNTY2qq+vL2vXz9yxL5IZbILBYDKgRKPRjD+f7TG4V7rWlbmB5bXYyWRYSdzHmzJguvvGmpS/+7nBZvaxFD05mfJF4N5HXsh4/NGKg7kc3SIjmWNbNm7cmLb7JxaLacOGDRoeHp43+6ihoUEdHR1qb29PBpu5XUuhUEh9fX1ZB/zSIuNMc4PKE6+MpbSwSGe/Pc5tXZky5rey8AYLLF6mLwzSwo6/ucctx6HzeLZFZqH27dunQCCQdgp1W1uburq61N7erqqqqrQ/H4vFMj6GwpIpmGR6ozt66kzyjTJdC0vV6lKzT59vhEDOzG21SVhIi2i2ltG5LTqZ3gcS7xEcz87m6iDT09OTMYgEAgENDg4qFospEAhIMruRZoeeaDSaMosJ1ps93mRu+FjMNlswSfdGNzeozH2j234b3UGAXTIFHEm6KXDBvPeMxX5RmXvfvY+8YMn7EIHIHq4OMv39/WptbU37WCK8RCIR1dfXq76+XpFIJHl/4rHEzKVzOX78uIqLi3Xeeecl7zt16pSmpqYy/szq1avl8/kkSRMTEzpz5owl+65atUpFRUWSpNOnT2tycnJB+37131/S3zz2ot5XXaknR8d0z021kqSv/MeQ3lddqafeOK4bN6zVE6+M6U9/43JNnTmTfOzJ0bGU7VNvHNfnN10lSXqg7wVdv+78efs8OTqmY6emFJ08+4YyeuSopqbOaPTwmKak+dvoMU37ivVa7KTOTE0l769aVarKEkmGtOnKtXpydEw3bLhIT75+VDesr9QPX3hTmpxMPnbPTZfrk+9fn/x/WLFihUpLzVkVU1NTOnXqlI4fP572/6y0tFQrVqxI2TeT2ftOT0/r5MmTluxbUlKisrIySZJhGDpx4oQl+xYXF2vlypXJ25n+Dxa7b1FRkVatWrWkfU+cODFvIH6Cz+fT6tWrl7TvyZMnNT09nXZfSSnH8mL2Pddx7+T3iHPtu3LlShUXFy9638nJSZ0+fTrjvmVlZSopMT+u/rDxUv3+tRfO2ePqlH3/4anXdO8jL8iYmtKmDRXJ95z9L7+d9j3i6KkzGjlyLPP7zuExTRWVnH2fih7T1JnJefv9+UPPaMcPn9P7N1yop14/phvWV+rx4bd1/SXnpbzvzX5vTd33iK6/ZHXa998nR8f0uVuuUknpCnUeeFnvr67Q40Nv6p6balPeyxKc8h6R7ecXzHC4+vp6o729Pe1jkoytW7emfWxgYMCQZPT09BiGYRg9PT0pzzM2NmbU19ef8/ePj48bMnt1DUnG138ybNRs7zW+/pNho/7m21Mem3v5X30/S+7//tvvzLrvzu/3J/e96Y6PZ913e/g/k/s2fXRz1n0/tGNvst6Km38/6776vf9plHz2IcP3pw8ZlR/M/rxq/WujZnuvUbO919AtHVn3vej3txsf/ed+o2Z7r/G+zfdl3ffXP/OAUbO91/joP/cbF37k3qz7fvOb30y+Tt///vez7vvVr341ue+BAweyvxY7dyb3feqpp7Lue9999yX3ff7557Pu+9nPfja57/DwcNZ9P/3pTyf3PXz4cNZ977rrruS+x44dy7pvc3PzvGMo49/Ohz6Usu/q1asz7vuBD3wgZd+1a9dm3Hfjxo0p+65fvz7jvnV1dSn71tXVZdx3/fr1Kftu3Lgx475r165N2fcDH/hAxn1Xr16dsu+HPvShrP9vszU3N2fd99ixY8l977rrrqz7Hj58OLnvpz/96az7Dg8PJ/f97Gc/m3Xf559/PrnvffdlPz6feuqp5L47d+7Muu+BAweS+371q1/Nuu/3v//95L7f/OY3s+67b9++5L779u3Lum/iPeLrPxk2Lvr97Vn3rfqtzyTfp275s91Z9y266b8bvj99yCj57EOGfu9/Zt3Xd8NHzu57V/b/h/LfaDFqtvcavj99yCjevCfrvjfd8fHke2X1tp6s+553XdD4+k+Gja//ZNi4/C8fyrrv6nf/t+S+Ndt7s+77nhtuTn6+fP0nw4avdGXGfcfHx42lcnWLTDaJLqTErKTm5mZFo1F1d3erqqpKBw8e1P79+xf9vDseflavxk7pgd7Teuvwsaz7fuU/hlS0YpVeGTupt96MZ933738yrOLzxvTK2EkdeX08675ff2JEpZWn9MrYSUVHY1n3/eGLb2n6glXqPPCyfmNDlX5wIPO+l6wp02/ODLC7rvYCfS/L8158fplCN18hSfrzn5Yq29yvf2x7rz784QZJ0j/902t6ck/mff/4poBaWsxZaj1lEbV+J8sTA8AC3H1jjarH3qvf+ufM+3zxtqu15ePm+9SPflSix76Ued9fW1euWOUq3bC+Uj869qreyPK73/2ONTo2s++/P/UrHcqy7/XVft158xXqPPCyrrn0Yv1rln2ffn1cxzacNFuvj2duNZak46en1HngZUnSq7Hs+56YPLvvK2OZW40laejIcZ0aO5nc38jR3CJXz1ry+XzaunVr2jVmIpGIamtrkwN+lyox4nquD3/ij/XBj39KX/7RSylNhLOvf/7W98jn86nzwMu659erNT01ldKMuJB90zU/hoLvVlFRkToPvJy2C2j2z9xY+w79dHRcoZuv0Cc2rrO92Xgx+545c0YTExMZ953dXbSYfRfTXUTXEl1Lc/ela4n3iHy+R/zDT1+Z91lwz021Kiou1ld+Mmp2WY1E9Sc3XJp8fO5nwd/+eESfD9ZJkh547JdZ9/3Kf45o263mvp0HXtb/eP+6lN+bUkNRsb7y+GjyS+2OHz6ndw0/oh/+89fm/ds8uyCetPQgk1gEr6enR83NzUv+/YkgMzo6mvIilJWVJT88AACAGbJnB8Z4PK7q6mqmXxeC8vJy1pEBACCLXHzJL7L02QpMIBBQJBJJ+1hibMzsWUoAAMBZXB1k6uvrk+dWmisRcJa7TkyiiSxb3yqcZWJiQvfffz+vqUvweroLr6e7WPEZ6uogEwwGM7bIDA0NZT1H00IRZNxnYmJCX/jCF3hNXYLX0114Pd2FIHMOra2tikajacNMOBxe8GJ3AACgMDk+yMRisYxnqPb7/dqzZ49CoVDK/eFwWIFAYFmzlQAAgP0cOWtp586dOnjwoCKRSPISDAbl9/vV1taWElCam5vl9/sVCoVUW1ubHDPT29trSS2J2etHjx5VPJ59UTs4Q+J15PV0B15Pd+H1dJejR49KWt5ieY5fR8ZuiYX1AADA0gwNDS15FjFBZpmmp6d16NAhrVmzJrmqJgAAODfDMHT06FGtW7cuuYL0YhFkAACAYzl+sC8AAPAuggwAAHAsggwAAHAsR06/dqKdO3eqvr7ektWEkX/d3d0aGhrS4OCgotGompqa0p5VHYWjr69Pvb29KcsubN261d6isCQcf96w5M9JAzk3NjZmSDJ6enrsLgVLsHXrVmNoaCh5e2xszGhqajL8fr8xNjZmX2HIqKenx2hubk65r7e312hqarKpIiwVx583LOdzkq6lPOju7ra7BCxROBxWW1tbyvoGfr9fPT09isViamlpsbE6pBOLxbR582bt2bMn5f6mpiZFo1GORwfh+POO5RyXBJkc6+vrozvJwQ4ePJj2DOl+v1/t7e3q6+vLeIZ12GPfvn0KBALy+/3zHmtra1NXV1f+i8KScPx5w3I/JwkyOTY4OJj2QIQzdHd3KxgMpn2soaFBktTf35/PknAOPT09qqqqSvtYIBDQ4OAgH34OwfHnDcv9nCTI5FB3dzeDCx1u48aNGR9LfBhm+tCEPfr7+zMudZ64PxKJ5LMkLBHHn/tZ8TnJrKUciUQiHGAukO3kokNDQ5JEi1uBicViabuVZotEIrxuDsDx525WfU7SIpMj4XA45SzccJ/u7m61t7fbXQYWIRFwotGovYVg2Tj+nM+qz0mCTA4QYtwvFAopEAiwlgVgA44/57Pyc5KuJYvFYjFFo9Eln44chW9wcFDd3d0aGBg4ZxcGCgvjKpyP48/5rP6cpEVmRjAYlM/nW9Jl9gwImjsLg1WvZzotLS3av38/YRWwAcef81n9OUmLzIxsg8oWiqnWhcOK1zOdYDCorq4uXucCFggEMs5KSoyN4UPQmTj+nC8Xn5M+wzAMS5/Rw8LhsPbu3Tvv/lgspr6+PtXX1ysQCKiqqopFuRyoo6NDLS0tLHBY4FpaWhSLxdKG2e7ubnV0dIi3Pefh+HOHXHxOEmTyIBaLqbKyUj09PQwCdqhMJzOLRCKKRCK8uRaQ7u5udXZ2JqfnzhYKhTQ4OJizFjvkBsef+y3nc5IxMsA5hMPhjGdkHRwcpJuiwLS2tioajabtXgqHw+ro6LChKiwVxx/OhTEyeZB4Q2XtCucZHBxUV1eXWlpaUk5qlhgQvHfvXg0MDNhUHdLx+/3as2ePQqGQenp6kveHw2EFAgFaRR2E4887lvM5SddSDg0ODmrHjh2KRCIaHByU3+9XU1OTgsEgM5scorKyMusspkAgkLYLA/br6+tTb2+vamtrk68hpwxxFo4/97Pic5IgAwAAHIsxMgAAwLEIMgAAwLEIMgAAwLEIMgAAwLEIMgAAwLEIMgAAwLEIMgAAwLEIMgAAwLEIMgAAwLEIMgAAwLEIMgAAwLEIMgAAwLEIMgAAwLEIMgAAwLEIMgAAwLEIMgAAwLEIMgAAwLEIMgAAwLEIMgAcraOjQw0NDaqtrZXP51MsFkt5PBKJKBgMqqGhQZWVlWpoaLCnUAA5QZAB4GgtLS3q6OhQJBJJ+3ggEFAoFNLGjRvnhRwAzuczDMOwuwgAWK6WlhaFw2GNjY3J7/en3cfn86m+vl4DAwP5LQ5AztAiAwAAHIsgAwAAHIsgAwAAHIsgAwAAHIsgAwAAHIsgAwAAHIsgA8ATWEMGcCeCDABXqKqqyvp4X19fnioBkE8EGQCukDj1QKYVfnt7ezMulAfAuQgyAFyhtbVVfr9fO3bsmPdYKBRSKBSSJA0ODqqvr4+uJsAlOEUBANeIxWIKhUKKRCIKBALJFpht27bJ7/ersrJSktkN5ff7OVUB4AIEGQAA4Fh0LQEAAMciyAAAAMciyAAAAMciyAAAAMciyAAAAMciyAAAAMciyAAAAMciyAAAAMciyAAAAMciyAAAAMciyAAAAMciyAAAAMciyAAAAMciyAAAAMciyAAAAMf6/wFofIt39zZk/gAAAABJRU5ErkJggg==", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "#w/o pbh\n", - "GenerateMagnificationCurve(rhoDressedPBH, 0.1, vmin=0.00001, vmax=6, vstep=0.001, umax=6, nusteps=1000, AT=1.34, plot=True, save=False)" - ] - }, - { - "cell_type": "code", - "execution_count": 217, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "u_T = 0.9891213748754543\n" - ] - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "#w pbh\n", - "GenerateMagnificationCurve(rhoDressedPBH, 0.1, vmin=0.00001, vmax=6, vstep=0.001, umax=6, nusteps=1000, AT=1.34, plot=True, save=False)" - ] - }, { "cell_type": "markdown", "metadata": {}, @@ -2189,7 +1470,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 22, "metadata": {}, "outputs": [], "source": [ @@ -2209,7 +1490,8 @@ "\n", "with Pool() as pool:\n", " for _ in tqdm(pool.imap(generate_wrapper_nfw, r90_vals_nfw), total=len(r90_vals_nfw)):\n", - " pass" + " pass\n", + " " ] }, { @@ -2255,7 +1537,7 @@ }, { "cell_type": "code", - "execution_count": 1595, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -2336,7 +1618,7 @@ }, { "cell_type": "code", - "execution_count": 86, + "execution_count": 16, "metadata": {}, "outputs": [], "source": [ @@ -2384,7 +1666,7 @@ }, { "cell_type": "code", - "execution_count": 87, + "execution_count": 17, "metadata": {}, "outputs": [], "source": [ @@ -2418,127 +1700,133 @@ }, { "cell_type": "code", - "execution_count": 94, + "execution_count": 20, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ - "100%|██████████| 50/50 [03:09<00:00, 3.80s/it]\n", - "100%|██████████| 50/50 [03:56<00:00, 4.73s/it]\n" + " 0%| | 0/50 [00:00" - ] - }, - "metadata": {}, - "output_type": "display_data" + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 50/50 [03:09<00:00, 3.80s/it]\n", + "100%|██████████| 50/50 [03:56<00:00, 4.73s/it]\n" + ] } ], "source": [ - "#new\n", - "u_T_values_nfw_101 = np.zeros((len(rho_arr_101), len(r90_vals_nfw)))\n", + "# rho_arr = np.logspace(-1, np.log10(4), 50)\n", "\n", - "for i, r90 in enumerate(r90_vals_nfw):\n", - " for j, rho in enumerate(rho_arr_101):\n", - " u_T_values_nfw_101[j, i] = u_T_interp_funcs_nfw_101[r90](rho)\n", + "# # u_T_interp_funcs_nfw = {}\n", "\n", - "# Creating the contour plot\n", - "X, Y = np.meshgrid(r90_vals_nfw, rho_arr_101)\n", - "plt.contourf(X, Y, u_T_values_nfw_101, levels=20, cmap='viridis')\n", - "plt.colorbar(label='u_T')\n", - "plt.xscale('log')\n", - "plt.xlabel(r'$r_{90}$')\n", - "plt.ylabel(r'$\\rho$')\n", - "plt.title('NFW Subhalo A_T = 1.01')\n", - "plt.ylim(0,15)\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 1566, - "metadata": {}, - "outputs": [], - "source": [ - "uT_interp_nfw_101 = RegularGridInterpolator((rho_arr_101, r90_vals_nfw), u_T_values_nfw_101)" + "# # # Compute u_T arrays and create interpolating functions\n", + "# # for r90, u_t_fl in tqdm(u_t_fl_dict_nfw.items()):\n", + "# # func = partial(u_t_fl, A_thresh=1.34)\n", + "# # with Pool() as pool:\n", + "# # u_T_arr = np.array(list(pool.map(func, rho_arr)))\n", + "# # u_T_interp_funcs_nfw[r90] = interp1d(rho_arr, u_T_arr, kind='linear')\n", + "\n", + "# # u_T_interp_funcs_dressed = {}\n", + "\n", + "# # for r90, u_t_fl in tqdm(u_t_fl_dict_dressed.items()):\n", + "# # func = partial(u_t_fl, A_thresh=1.34)\n", + "# # with Pool() as pool:\n", + "# # u_T_arr = np.array(list(pool.map(func, rho_arr)))\n", + "# # u_T_interp_funcs_dressed[r90] = interp1d(rho_arr, u_T_arr, kind='linear')\n", + "\n", + "# # u_T_interp_funcs_axion = {}\n", + "\n", + "# # for r90, u_t_fl in tqdm(u_t_fl_dict_axion.items()):\n", + "# # func = partial(u_t_fl, A_thresh=1.34)\n", + "# # with Pool() as pool:\n", + "# # u_T_arr = np.array(list(pool.map(func, rho_arr)))\n", + "# # u_T_interp_funcs_axion[r90] = interp1d(rho_arr, u_T_arr, kind='linear')\n", + "\n", + "# rho_arr_101 = np.logspace(-1, np.log10(15), 50)\n", + "# # u_T_interp_funcs_nfw_101 = {}\n", + "\n", + "# # for r90, u_t_fl in tqdm(u_t_fl_dict_nfw.items()):\n", + "# # func = partial(u_t_fl, A_thresh=1.01)\n", + "# # with Pool() as pool:\n", + "# # u_T_arr = np.array(list(pool.map(func, rho_arr_101)))\n", + "# # u_T_interp_funcs_nfw_101[r90] = interp1d(rho_arr_101, u_T_arr, kind='linear')\n", + "\n", + "# u_T_interp_funcs_dressed_101 = {}\n", + "\n", + "# for r90, u_t_fl in tqdm(u_t_fl_dict_dressed.items()):\n", + "# func = partial(u_t_fl, A_thresh=1.01)\n", + "# with Pool() as pool:\n", + "# u_T_arr = np.array(list(pool.map(func, rho_arr_101)))\n", + "# u_T_interp_funcs_dressed_101[r90] = interp1d(rho_arr_101, u_T_arr, kind='linear')\n", + "\n", + "# u_T_interp_funcs_axion_101 = {}\n", + "\n", + "# for r90, u_t_fl in tqdm(u_t_fl_dict_axion.items()):\n", + "# func = partial(u_t_fl, A_thresh=1.01)\n", + "# with Pool() as pool:\n", + "# u_T_arr = np.array(list(pool.map(func, rho_arr_101)))\n", + "# u_T_interp_funcs_axion_101[r90] = interp1d(rho_arr_101, u_T_arr, kind='linear')\n", + "\n", + "\n" ] }, { "cell_type": "code", - "execution_count": 94, + "execution_count": 21, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", "text/plain": [ "
" ] @@ -2548,87 +1836,43 @@ } ], "source": [ - "u_T_values_nfw = np.zeros((len(rho_arr), len(r90_vals_nfw)))\n", + "#new\n", + "u_T_values_nfw_thresh = np.zeros((len(rho_arr_101), len(r90_vals_nfw)))\n", "\n", "for i, r90 in enumerate(r90_vals_nfw):\n", - " for j, rho in enumerate(rho_arr):\n", - " u_T_values_nfw[j, i] = u_T_interp_funcs_nfw[r90](rho)\n", + " for j, rho in enumerate(rho_arr_101):\n", + " u_T_values_nfw_thresh[j, i] = u_T_interp_funcs_nfw_thresh[r90](rho)\n", "\n", "# Creating the contour plot\n", - "X, Y = np.meshgrid(r90_vals_nfw, rho_arr)\n", - "plt.contourf(X, Y, u_T_values_nfw, levels=20, cmap='viridis')\n", + "X, Y = np.meshgrid(r90_vals_nfw, rho_arr_101)\n", + "plt.contourf(X, Y, u_T_values_nfw_thresh, levels=20, cmap='viridis')\n", "plt.colorbar(label='u_T')\n", "plt.xscale('log')\n", "plt.xlabel(r'$r_{90}$')\n", "plt.ylabel(r'$\\rho$')\n", - "plt.title('NFW Subhalo')\n", - "plt.ylim(0,3)\n", + "plt.title('NFW Subhalo A_T = 1.047')\n", + "plt.ylim(0,15)\n", "plt.show()" ] }, { "cell_type": "code", - "execution_count": 97, + "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "#make 2d interpolation function for u_T\n", - "uT_interp_nfw = RegularGridInterpolator((rho_arr, r90_vals_nfw), u_T_values_nfw)" - ] - }, - { - "cell_type": "code", - "execution_count": 1614, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "u_T_values_axion = np.zeros((len(rho_arr), len(r90_vals_axion)))\n", - "\n", - "for i, r90 in enumerate(r90_vals_axion):\n", - " for j, rho in enumerate(rho_arr):\n", - " u_T_values_axion[j, i] = u_T_interp_funcs_axion[r90](rho)\n", - "\n", - "# Creating the contour plot\n", - "X, Y = np.meshgrid(r90_vals_axion, rho_arr)\n", - "plt.contourf(X, Y, u_T_values_axion, levels=20, cmap='viridis')\n", - "plt.colorbar(label='u_T')\n", - "# plt.xscale('log')\n", - "plt.xlabel(r'$r_{90}$')\n", - "plt.ylabel(r'$\\rho$')\n", - "plt.title('Axion Star')\n", - "plt.ylim(0,3)\n", - "plt.xlim(0,4)\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 1610, - "metadata": {}, - "outputs": [], - "source": [ - "uT_interp_axion = RegularGridInterpolator((rho_arr, r90_vals_axion), u_T_values_axion)" + "uT_interp_nfw_thresh = RegularGridInterpolator((rho_arr_101, r90_vals_nfw), u_T_values_nfw_thresh)" ] }, { "cell_type": "code", - "execution_count": 100, + "execution_count": 28, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -2638,42 +1882,42 @@ } ], "source": [ - "u_T_values_axion_101 = np.zeros((len(rho_arr_101), len(r90_vals_axion)))\n", + "u_T_values_axion_thresh = np.zeros((len(rho_arr_101), len(r90_vals_axion)))\n", "\n", "for i, r90 in enumerate(r90_vals_axion):\n", " for j, rho in enumerate(rho_arr_101):\n", - " u_T_values_axion_101[j, i] = u_T_interp_funcs_axion_101[r90](rho)\n", - " \n", + " u_T_values_axion_thresh[j, i] = u_T_interp_funcs_axion_thresh[r90](rho)\n", + "\n", "# Creating the contour plot\n", "X, Y = np.meshgrid(r90_vals_axion, rho_arr_101)\n", - "plt.contourf(X, Y, u_T_values_axion_101, levels=20, cmap='viridis')\n", + "plt.contourf(X, Y, u_T_values_axion_thresh, levels=20, cmap='viridis')\n", "plt.colorbar(label='u_T')\n", "# plt.xscale('log')\n", "plt.xlabel(r'$r_{90}$')\n", "plt.ylabel(r'$\\rho$')\n", - "plt.title('Axion Star A_T = 1.01')\n", - "plt.ylim(0,15)\n", + "plt.title('Axion Star')\n", + "plt.ylim(0,10)\n", "plt.xlim(0,10)\n", "plt.show()" ] }, { "cell_type": "code", - "execution_count": 101, + "execution_count": 29, "metadata": {}, "outputs": [], "source": [ - "uT_interp_axion_101 = RegularGridInterpolator((rho_arr_101, r90_vals_axion), u_T_values_axion_101)" + "uT_interp_axion_thresh = RegularGridInterpolator((rho_arr_101, r90_vals_axion), u_T_values_axion_thresh)" ] }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 30, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", "text/plain": [ "
" ] @@ -2684,110 +1928,47 @@ ], "source": [ "#w central pbh\n", - "u_T_values_dressed = np.zeros((len(rho_arr), len(r90_vals_dressed)))\n", - "\n", - "for i, r90 in enumerate(r90_vals_dressed):\n", - " for j, rho in enumerate(rho_arr):\n", - " u_T_values_dressed[j, i] = u_T_interp_funcs_dressed[r90](rho)\n", - "\n", - "# Creating the contour plot\n", - "X, Y = np.meshgrid(r90_vals_dressed, rho_arr)\n", - "plt.contourf(X, Y, u_T_values_dressed, levels=10, cmap='viridis')\n", - "plt.colorbar(label='u_T')\n", - "plt.xscale('log')\n", - "plt.xlabel(r'$r_{90}$')\n", - "plt.ylabel(r'$\\rho$')\n", - "plt.title('Dressed PBH')\n", - "plt.ylim(0,3)\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 102, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "u_T_values_dressed_101 = np.zeros((len(rho_arr_101), len(r90_vals_dressed)))\n", + "u_T_values_dressed_thresh = np.zeros((len(rho_arr_101), len(r90_vals_dressed)))\n", "\n", "for i, r90 in enumerate(r90_vals_dressed):\n", " for j, rho in enumerate(rho_arr_101):\n", - " u_T_values_dressed_101[j, i] = u_T_interp_funcs_dressed_101[r90](rho)\n", - "\n", - "X, Y = np.meshgrid(r90_vals_dressed, rho_arr_101)\n", - "plt.contourf(X, Y, u_T_values_dressed_101, levels=20, cmap='viridis')\n", - "plt.colorbar(label='u_T')\n", - "plt.xscale('log')\n", - "plt.xlabel(r'$r_{90}$')\n", - "plt.ylabel(r'$\\rho$')\n", - "plt.title('Dressed PBH A_T = 1.01')\n", - "plt.ylim(0,15)\n", - "plt.xlim(1e-1,1e2)\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 1611, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "u_T_values_dressed = np.zeros((len(rho_arr), len(r90_vals_dressed)))\n", - "\n", - "for i, r90 in enumerate(r90_vals_dressed):\n", - " for j, rho in enumerate(rho_arr):\n", - " u_T_values_dressed[j, i] = u_T_interp_funcs_dressed[r90](rho)\n", + " u_T_values_dressed_thresh[j, i] = u_T_interp_funcs_dressed_thresh[r90](rho)\n", "\n", "# Creating the contour plot\n", - "X, Y = np.meshgrid(r90_vals_dressed, rho_arr)\n", - "plt.contourf(X, Y, u_T_values_dressed, levels=10, cmap='viridis')\n", + "X, Y = np.meshgrid(r90_vals_dressed, rho_arr_101)\n", + "plt.contourf(X, Y, u_T_values_dressed_thresh, levels=10, cmap='viridis')\n", "plt.colorbar(label='u_T')\n", "plt.xscale('log')\n", "plt.xlabel(r'$r_{90}$')\n", "plt.ylabel(r'$\\rho$')\n", "plt.title('Dressed PBH')\n", - "plt.ylim(0,3)\n", + "plt.ylim(0,10)\n", "plt.show()" ] }, { "cell_type": "code", - "execution_count": 103, + "execution_count": 31, "metadata": {}, "outputs": [], "source": [ - "uT_interp_dressed_101 = RegularGridInterpolator((rho_arr_101, r90_vals_dressed), u_T_values_dressed_101)" + "uT_interp_dressed_thresh = RegularGridInterpolator((rho_arr_101, r90_vals_dressed), u_T_values_dressed_thresh)" ] }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 32, "metadata": {}, "outputs": [], "source": [ - "uT_interp_dressed = RegularGridInterpolator((rho_arr, r90_vals_dressed), u_T_values_dressed)" + "# with open('../LensCalcPy/interpolations/ut_interp_nfw_thresh.pkl', 'wb') as f:\n", + "# pickle.dump(uT_interp_nfw_thresh, f)\n", + "\n", + "# with open('../LensCalcPy/interpolations/ut_interp_axion_thresh.pkl', 'wb') as f:\n", + "# pickle.dump(uT_interp_axion_thresh, f)\n", + "\n", + "# with open('../LensCalcPy/interpolations/ut_interp_dressed_thresh.pkl', 'wb') as f:\n", + "# pickle.dump(uT_interp_dressed_thresh, f)\n" ] }, { diff --git a/nbs/04_utils.ipynb b/nbs/04_utils.ipynb index 1ee37e9..4ec7af5 100644 --- a/nbs/04_utils.ipynb +++ b/nbs/04_utils.ipynb @@ -411,6 +411,48 @@ " return ut_interp_dressed_101((rho, r90))" ] }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "#| export\n", + "def u_t_nfw_thresh(rho, r90):\n", + " if r90 > ut_interp_nfw_thresh.grid[1][-1]:\n", + " return 0\n", + " elif r90 < ut_interp_nfw_thresh.grid[1][0]:\n", + " r90 = ut_interp_nfw_thresh.grid[1][0]\n", + " if rho > ut_interp_nfw_thresh.grid[0][-1]:\n", + " return 0\n", + " elif rho < ut_interp_nfw_thresh.grid[0][0]:\n", + " rho = ut_interp_nfw_thresh.grid[0][0]\n", + " return ut_interp_nfw_thresh((rho, r90))\n", + "\n", + "def u_t_axion_thresh(rho, r90):\n", + " if r90 > ut_interp_axion_thresh.grid[1][-1]:\n", + " return 0\n", + " elif r90 < ut_interp_axion_thresh.grid[1][0]:\n", + " r90 = ut_interp_axion_thresh.grid[1][0]\n", + " if rho > ut_interp_axion_thresh.grid[0][-1]:\n", + " return 0\n", + " elif rho < ut_interp_axion_thresh.grid[0][0]:\n", + " rho = ut_interp_axion_thresh.grid[0][0]\n", + " return ut_interp_axion_thresh((rho, r90))\n", + "\n", + "def u_t_dressed_thresh(rho, r90):\n", + " if r90 > ut_interp_dressed_thresh.grid[1][-1]:\n", + " return 0\n", + " elif r90 < ut_interp_dressed_thresh.grid[1][0]:\n", + " r90 = ut_interp_dressed_thresh.grid[1][0]\n", + " if rho > ut_interp_dressed_thresh.grid[0][-1]:\n", + " return 0\n", + " elif rho < ut_interp_dressed_thresh.grid[0][0]:\n", + " rho = ut_interp_dressed_thresh.grid[0][0]\n", + " return ut_interp_dressed_thresh((rho, r90))\n", + "\n" + ] + }, { "cell_type": "code", "execution_count": 6, From a3516291586c435ce035b122b3b08c9023b5535d Mon Sep 17 00:00:00 2001 From: Nolan Smyth Date: Tue, 27 Feb 2024 16:59:26 -0800 Subject: [PATCH 14/17] Add shorter season comparison --- examples/extended.ipynb | 319 +++++++++++++++++++++++++++++++++++----- 1 file changed, 283 insertions(+), 36 deletions(-) diff --git a/examples/extended.ipynb b/examples/extended.ipynb index e69494a..14fa682 100644 --- a/examples/extended.ipynb +++ b/examples/extended.ipynb @@ -355,7 +355,8 @@ "source": [ "# params = {\"l\": 1.0, \"b\": -1.03, \"source_dist\": 8.5, \"obs_time\": 6*72*24, \"cadence\": 15/60, \"n_sources\": 2.4e8, \"efficiency\": 1, \"A_t\": 1.34, \"survey_area\":0}\n", "rsolkpc = 2.25e-11\n", - "params = {\"l\": 1.0, \"b\": -1.03, \"source_dist\": 8.5, \"obs_time\": 72*24, \"cadence\": 15/60*6, \"n_sources\": 2.4e8, \"efficiency\": 1, \"A_t\": 1.34, \"survey_area\":0} # Change observationd time to one season then multiply total rate by 6 for limits" + "params = {\"l\": 1.0, \"b\": -1.03, \"source_dist\": 8.5, \"obs_time\": 72*24, \"cadence\": 15/60*6, \"n_sources\": 2.4e8, \"efficiency\": 1, \"A_t\": 1.34, \"survey_area\":0} \n", + "params_low_obs = {\"l\": 1.0, \"b\": -1.03, \"source_dist\": 8.5, \"obs_time\": 60*24, \"cadence\": 15/60*6, \"n_sources\": 2.4e8, \"efficiency\": 1, \"A_t\": 1.34, \"survey_area\":0} \n" ] }, { @@ -395,48 +396,45 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "def calculate_rate(m, R90, u_t_func):\n", " # return rate_mw_new(m, params['source_dist'], params['l'], params['b'], R90*rsolkpc, u_t_func, tcad=params['cadence'], tobs=params['obs_time']*100, efficiency=roman_efficiency, epsabs=0, epsrel=1e-1)\n", - " return rate_mw_new(m, params['source_dist'], params['l'], params['b'], R90*rsolkpc, u_t_func, tcad=params['cadence'], tobs=params['obs_time'], efficiency=roman_efficiency, epsabs=0, epsrel=1e-1)\n" + " return rate_mw_new(m, params['source_dist'], params['l'], params['b'], R90*rsolkpc, u_t_func, tcad=params['cadence'], tobs=params['obs_time'], efficiency=roman_efficiency, epsabs=0, epsrel=1e-1)\n", + "\n", + "def calculate_rate_low_obs(m, R90, u_t_func):\n", + " return rate_mw_new(m, params['source_dist'], params['l'], params['b'], R90*rsolkpc, u_t_func, tcad=params['cadence'], tobs=params_low_obs['obs_time'], efficiency=roman_efficiency, epsabs=0, epsrel=1e-1)\n", + " \n" ] }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ - " 0%| | 0/3 [00:00" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, axs = plt.subplots(3, 1, figsize=(12, 12), sharex=True) # 3 rows, 1 column, sharing x-axis\n", + "\n", + "# First subplot\n", + "ax = axs[0]\n", + "for R90 in R90_values:\n", + " ax.loglog(m_arr, fdm_dict_e[R90], label=r'$R_{90} =$ ' + str(R90) + '$ ~R_{\\odot}$', color=color_dict[R90], linewidth=2)\n", + " if R90 == 0.1:\n", + " ax.loglog(m_arr, fdm_dict_e_low_obs[R90], color=color_dict[R90], linewidth=2, linestyle='--')\n", + "\n", + "plot_existing_limits(ax)\n", + "ax.text(1e-4, 5e-7, 'NFW Subhalo', fontsize=18)\n", + "ax.set_ylim(1e-7, 1)\n", + "ax.set_xlim(1e-11, 1e2)\n", + "ax.legend(loc='lower right')\n", + "# ax.set_ylabel('$f_{DM}$')\n", + "\n", + "# Second subplot\n", + "ax = axs[1]\n", + "for R90 in R90_values_dressed:\n", + " ax.loglog(m_arr, fdm_dict_dressed[R90], label=r'$R_{90} =$ ' + str(R90) + '$ ~R_{\\odot}$', color=color_dict[R90], linewidth=2)\n", + " if R90 == 0.1:\n", + " ax.loglog(m_arr, fdm_dict_dressed_low_obs[R90], color=color_dict[R90], linewidth=2, linestyle='--')\n", + "\n", + "plot_existing_limits_dpbh(ax)\n", + "ax.text(1e-4, 5e-7, 'Dressed PBH-like', fontsize=18)\n", + "ax.set_ylabel('$f_{DM}$')\n", + "ax.set_ylim(1e-7, 1)\n", + "ax.legend(loc='lower right')\n", + "\n", + "# Third subplot\n", + "ax = axs[2]\n", + "for R90 in R90_values_axion:\n", + " ax.loglog(m_arr, fdm_dict_axion[R90], label=r'$R_{90} =$ ' + str(R90) + '$ ~R_{\\odot}$', color=color_dict[R90], linewidth=2)\n", + " if R90 == 0.1:\n", + " ax.loglog(m_arr, fdm_dict_axion_low_obs[R90], color=color_dict[R90], linewidth=2, linestyle='--')\n", + " # ax.loglog(m_arr, m_arr**(1/2)*1e-2, color='k', ls='--', label=r'$f_{DM} \\propto M^{1/2}$')\n", + "\n", + "ax.text(1e-4, 5e-7, 'Axion/Boson Star', fontsize=18)\n", + "plot_existing_limits_axion()\n", + "# ax.set_ylabel('$f_{DM}$')\n", + "ax.set_ylim(1e-7, 1)\n", + "ax.legend(loc='lower right')\n", + "ax.set_xlabel('$M_{DM} [M_{\\odot}]$')\n", + "\n", + "fig.subplots_adjust(hspace=0.0) # Adjust this value as needed to reduce space\n", + "\n", + "# plt.savefig('figures/extended_limits_all_thresh_sigma_short_seasons.pdf')\n", + "\n", + "plt.show()\n" + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([1. , 1. , 1. , 1. , 1. ,\n", + " 1. , 1. , 1. , 1. , 1. ,\n", + " 1. , 1. , 1. , 1. , 1. ,\n", + " 1. , 1. , 1. , 1. , 1. ,\n", + " 1. , 0.83233236, 0.83236084, 0.83242862, 0.83254931,\n", + " 0.83272156, 0.83291822, 0.83309057, 0.83319039, 0.83322941,\n", + " 0.83320746, 0.83316298, 0.8331426 , 0.8331566 , 0.83315362,\n", + " 0.83305858, 0.83290032, 0.83276333, 0.83269773, 0.832684 ,\n", + " 0.8327253 , 0.83286088, 0.83311328, 0.83314399, 0.83356748,\n", + " 0.83374571, 0.83386973, 0.83391243, 0.83385168, 0.83368639,\n", + " 0.8334771 , 0.83327902, 0.8330387 , 0.8326256 , 0.83192 ,\n", + " 0.83081023, 0.8290256 , 0.82617507, 0.82164976, 0.81450668,\n", + " 0.80364557, 0.78743156, 0.76437384, 0.73344384, 0.6953269 ,\n", + " 0.6533534 , 0.61468831, 0.58742235, 0.57507834, 0.57302697,\n", + " 0.5743912 , 0.57570142, 0.57663133, 0.57721107, 0.57840282,\n", + " 0.57825995, 0.57770805, 0.5780629 , 0.5777703 , 0.57803814,\n", + " 0.57829963, 0.57911785, 0.57844506, 0.57854291, 0.57859961,\n", + " 0.57863347, 0.57864696, 0.57867627, 0.57879523, 0.35141265,\n", + " 0.41504371, 0.44008484, 0.46052977, 0.47140672, 0.48174799,\n", + " 0.47399032, 0.48054917, 0.4306183 , 0.47768503, 0.41935266])" + ] + }, + "execution_count": 49, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "fdm_dict_e[R90]/fdm_dict_e_low_obs[R90]" + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.8333333333333334" + ] + }, + "execution_count": 51, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "60/72" + ] + }, { "cell_type": "markdown", "metadata": {}, From 753fdfdf3a7c93d0c61fce9854fed13a48c79a7b Mon Sep 17 00:00:00 2001 From: Nolan Smyth Date: Tue, 27 Feb 2024 17:44:53 -0800 Subject: [PATCH 15/17] Added caustic lightcurve comparison --- examples/extended.ipynb | 447 ++++++++++++++-------------------------- 1 file changed, 154 insertions(+), 293 deletions(-) diff --git a/examples/extended.ipynb b/examples/extended.ipynb index 14fa682..c1b66c9 100644 --- a/examples/extended.ipynb +++ b/examples/extended.ipynb @@ -1057,7 +1057,7 @@ }, { "cell_type": "code", - "execution_count": 49, + "execution_count": 128, "metadata": {}, "outputs": [ { @@ -1065,283 +1065,33 @@ "text/plain": [ "array([1. , 1. , 1. , 1. , 1. ,\n", " 1. , 1. , 1. , 1. , 1. ,\n", - " 1. , 1. , 1. , 1. , 1. ,\n", - " 1. , 1. , 1. , 1. , 1. ,\n", - " 1. , 0.83233236, 0.83236084, 0.83242862, 0.83254931,\n", - " 0.83272156, 0.83291822, 0.83309057, 0.83319039, 0.83322941,\n", - " 0.83320746, 0.83316298, 0.8331426 , 0.8331566 , 0.83315362,\n", - " 0.83305858, 0.83290032, 0.83276333, 0.83269773, 0.832684 ,\n", - " 0.8327253 , 0.83286088, 0.83311328, 0.83314399, 0.83356748,\n", - " 0.83374571, 0.83386973, 0.83391243, 0.83385168, 0.83368639,\n", - " 0.8334771 , 0.83327902, 0.8330387 , 0.8326256 , 0.83192 ,\n", - " 0.83081023, 0.8290256 , 0.82617507, 0.82164976, 0.81450668,\n", - " 0.80364557, 0.78743156, 0.76437384, 0.73344384, 0.6953269 ,\n", - " 0.6533534 , 0.61468831, 0.58742235, 0.57507834, 0.57302697,\n", - " 0.5743912 , 0.57570142, 0.57663133, 0.57721107, 0.57840282,\n", - " 0.57825995, 0.57770805, 0.5780629 , 0.5777703 , 0.57803814,\n", - " 0.57829963, 0.57911785, 0.57844506, 0.57854291, 0.57859961,\n", - " 0.57863347, 0.57864696, 0.57867627, 0.57879523, 0.35141265,\n", - " 0.41504371, 0.44008484, 0.46052977, 0.47140672, 0.48174799,\n", - " 0.47399032, 0.48054917, 0.4306183 , 0.47768503, 0.41935266])" - ] - }, - "execution_count": 49, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "fdm_dict_e[R90]/fdm_dict_e_low_obs[R90]" - ] - }, - { - "cell_type": "code", - "execution_count": 51, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "0.8333333333333334" + " 1. , 1. , 1. , 1. , 0.83233131,\n", + " 0.83233632, 0.83234769, 0.83236914, 0.8324074 , 0.8324676 ,\n", + " 0.83252464, 0.83267386, 0.83282852, 0.83290832, 0.83305516,\n", + " 0.83313583, 0.83315476, 0.83316855, 0.83318807, 0.8332002 ,\n", + " 0.83318666, 0.8331623 , 0.83314453, 0.83314084, 0.83312325,\n", + " 0.83305233, 0.83292214, 0.83279069, 0.83271162, 0.83268401,\n", + " 0.83270502, 0.83281064, 0.83303087, 0.83332446, 0.83359847,\n", + " 0.83379068, 0.83389376, 0.83390976, 0.83382596, 0.83365676,\n", + " 0.83346048, 0.83327295, 0.83304192, 0.83265097, 0.83197328,\n", + " 0.83086254, 0.82908241, 0.82623465, 0.82169838, 0.81457667,\n", + " 0.803647 , 0.78740449, 0.76430037, 0.73333708, 0.69512773,\n", + " 0.65320814, 0.61456505, 0.58734416, 0.57501733, 0.57305751,\n", + " 0.57442482, 0.57567024, 0.57663499, 0.57718272, 0.57840714,\n", + " 0.57825999, 0.57770849, 0.57806041, 0.57777078, 0.57803946,\n", + " 0.57830012, 0.57911706, 0.57844564, 0.57854292, 0.57859953,\n", + " 0.57863345, 0.57864689, 0.57867651, 0.57879544, 0.35141262,\n", + " 0.42069388, 0.43900123, 0.46053022, 0.46737435, 0.48154576,\n", + " 0.4739915 , 0.48054849, 0.43061635, 0.47767971, 0.48224629])" ] }, - "execution_count": 51, + "execution_count": 128, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "60/72" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Recreate Subaru" - ] - }, - { - "cell_type": "code", - "execution_count": 573, - "metadata": {}, - "outputs": [], - "source": [ - "# params_hsc = {\"l\": 121.2, \"b\": -21.6, \"source_dist\": 770, \"obs_time\": 7, \"cadence\": 0.07, \"n_sources\": 8.7e7, \"efficiency\": 0.7, \"A_t\": 1.34, \"survey_area\":0}\n", - "params_hsc = {\"l\": 121.2, \"b\": -21.6, \"source_dist\": 770, \"obs_time\": 7, \"cadence\": 0.033, \"n_sources\": 8.7e7, \"efficiency\": 0.5, \"A_t\": 1.34, \"survey_area\":0}" - ] - }, - { - "cell_type": "code", - "execution_count": 574, - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - " 0%| | 0/3 [00:00" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "#vdisp 220, 250 7.5 rSol NEW R90 Implementation\n", - "R90_plot_vals = [0.1, 50, 100]\n", - "for R90 in R90_plot_vals:\n", - " plt.loglog(m_arr, fdm_dict_hsc[R90]/params_hsc['efficiency'], label=r'$r_{90} =$ ' + str(R90) + '$ ~R_{\\odot}$', color=color_dict[R90])\n", - "plot_existing_limits()\n", - "plt.plot(0, 0, ls='--', color='k', label='Existing Limits')\n", - "plt.plot(0, 0, color='k', label='This Work')\n", - "plt.ylim(1e-6, 1)\n", - "plt.xlim(1e-12, 1e-3)\n", - "plt.legend()\n", - "plt.xlabel('$M_{DM} [M_{\\odot}]$')\n", - "plt.ylabel('$f_{DM}$')\n", - "plt.title('Mock HSC')\n", - "# plt.savefig('figures/extended_limits_e.pdf')\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 72, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "#vdisp 220, 250 7.5 rSol\n", - "r90_plot_vals = [0.1, 50, 100]\n", - "for r90 in r90_plot_vals:\n", - " plt.loglog(m_arr, fdm_dict_hsc[r90]/params_hsc['efficiency'], label=r'$r_{90} =$ ' + str(r90) + '$ ~R_{\\odot}$', color=color_dict[r90])\n", - "plot_existing_limits()\n", - "plt.plot(0, 0, ls='--', color='k', label='Existing Limits')\n", - "plt.plot(0, 0, color='k', label='This Work')\n", - "plt.ylim(1e-6, 1)\n", - "plt.xlim(1e-12, 1e-3)\n", - "plt.legend()\n", - "plt.xlabel('$M_{DM} [M_{\\odot}]$')\n", - "plt.ylabel('$f_{DM}$')\n", - "plt.title('Mock HSC')\n", - "# plt.savefig('figures/extended_limits_e.pdf')\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 52, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "#vdisp nfw\n", - "r90_plot_vals = [0.1, 50, 100]\n", - "for r90 in r90_plot_vals:\n", - " plt.loglog(m_arr, fdm_dict_hsc[r90]/params_hsc['efficiency'], label=r'$r_{90} =$ ' + str(r90) + '$ ~R_{\\odot}$', color=color_dict[r90])\n", - "plot_existing_limits()\n", - "# plt.plot(0, 0, ls='--', color='k', label='Existing Limits')\n", - "# plt.plot(0, 0, color='k', label='This Work')\n", - "plt.ylim(1e-6, 1)\n", - "plt.xlim(1e-12, 1e-3)\n", - "plt.legend()\n", - "plt.xlabel('$M_{DM} [M_{\\odot}]$')\n", - "plt.ylabel('$f_{DM}$')\n", - "plt.title('Mock HSC')\n", - "# plt.savefig('figures/extended_limits_e.pdf')\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 173, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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+kb3oMe0u9G4nLstTVGlmxoJN7MqvJNjbjcU3DWVAlH+7xwtgMpmIjo7G19f3jPu61tWyGf7YxaVpWpNtl1xyCZdcckmzjmU0Gk+6BpOfn1+zE6MpA2J5cnkO6/Lq8fHxRadrny64xy9OYmF6GYfLanljcwHPTo1vl/O2lq4JQ8k15WIrOYif36m7T4VzUAfoUXdWQIEOfX9f6Wp2QZqvL7ZcBSosKEU69AnN+4wTrU/TNLRCM1pGNVp+HaADvTcE6dDFeqPEeqN4OCZxrSnOIf+3t/HUWfGJS6D3pQ+gd/c4Yb8jFXVM/2QLe8psRIYEsvTPI+kXceakpK0157PJpYqvTyckJAS9Xt/YOnRUYWHhCa1ILZWSkkJCQgJDhw5t8XMHd/HH12igrNbC9jzTOcXREl7uBl69tB8ALy8/xP6iqnY7d2vwjx0AgClrN6rN6uBoxJko3bzATYFqG1penaPDEWdBURR0fewXLu1QNVq96uCIOh+tXkXdX4nt1wLUdSUNSREooUZ0w4LQT4pA19fPYUlRbWkeexe9hLWuCu/wOHpdMvekSdHh0hrOm7eGPYVVRAd4sOKuUU6RFDVXh0mM3N3dSU5OZunSpU22L126lFGjRp3TsefMmUNaWhqbNm1q8XMNeh1j4+wTSC4/WHxOcbTUpf0imNwnlHqbytxvdp90VJ6z8gqNweDlh2oxU3Vkv6PDEWegGHQocfYuNHV/pUv9rYljlEgP8HMDq4Z6wLW+TLkyrawe29YybD/noe42QbUNDApKd2/0E8LQjw5BF+WJ0k49DidTV17A3kX/wlprwis0ht6XPoDB6HXCfgeKqzlv3loOltQQF+TFirtG0yvUtbrXXSoxqqqqIjU1ldTUVAAyMjJITU1tHI7/wAMP8O677/L++++Tnp7O/fffT1ZW1lmtbt2azuthr2NacbCkXc+rKAr/npGIm17hpz2FfJdW0K7nPxeKoiOgW38AyjO3Ozga0Ry67t72T5QyC5TWOzoccRYURUHX92irUZW0GrUhzaqiHq7GurwQ24oitKwaUAF/N3QDA9BPiUA/IADF1/Hr35lNxez9+kUs1RV4Bnel94wHMXh4n7BfekEl581bQ1Z5LX1CvVk5ZxSxQScmT87OpWqMNm/ezPjx4xvvHy2MnjVrFgsWLOCqq66ipKSEp59+mry8PBITE/nxxx/p1q3bOZ03JSWFlJQUbDbbWT3//B4hAKw8VIpN1dC3Y9bfO9SHB87rwSsrDnKopKbdztsa/GOTKE5fQ0XmThh7taPDEWegeOhRor3QDteg7q9CH3xifZ5wfvZWIwOYrGiHqlD6Sq1Ra9KqrKgZ1WhZ1WBpaFnVgdLFE12cDwS6OVWNnrmylD1f/4v6qlI8AiPpM/Mh3DxP7BbbfqSCSW+tp6i6nv6Rvvxy+0jCfV3zM6BTrZV2rkwmE/7+/lRUVDS7+BrAalMJfnwJlWYrm+eOZXDXgLYL8iSqzVZyKuroE+ZazZlWcw3b3r4XNJX+s/6Jh3+Yo0MSZ6BVWrD9VgiAfkKYU3zbFS2n5tWildWj6+mD4i6j086VpmpoBXX2YurCY3Pj4aVHF+eNEuPllKMA66vK2PPVC5grCjH6h9H38odx9wk8Yb9NWeVMeWc9ZbUWBnfxZ8ntIwj2dndAxKfWkuu3S3WluSqDXse47kfrjNq3Ow3A22hwuaQIwGD0wjeqF4C91Ug4PcXXDSXCXoypHpQaFVeli/REn+AvSdE50upsqHsrsS0tQN1Q2pgUKeFGdCOC0V8Yjq6Xr1MmRZaaCvYueglzRSHufiH0ueyvJ02KVmeUMPGtdZTVWhjZLZBf7xjpdElRS0li1AznMirtqPMautPau87oj7bklPOPn/Y4NIaWODo6reKwJEauQtfTnoRrWTVodWfX/Syci3QsNJ+maWjFZmybSrEtyUdNN0GtDdx1KL180F8Yjn5kCLoID6fqMjtebWkee776F3Vlebj7BNF35l8w+gadsN/v+4uZ8vYGKs1Wzu8RzJLbRxDg6fqtxC5VY+Qoc+bMYc6cOY1NcWfj/IYC7JWHStq9zuiowkozY95Yg9mqMjo2kKnx5zaNQXvwj+1Pzpr/YcpOx2Yxn3QSMeFkgt0h0A3KLKiHqmU+HBemlZqx7TahCzOi9JF/x9PRLCpaTg1qRjWYjptiJMjd3l0W5Ymid85E6HjF6Ws5vPwjVIsZN+8A+lz2F4z+oSfs92N6AZf/dzNmq8rkPqF8NWsIXu4dI6WQFqN2MjDKDz8PAxV1VlKPVDgkhjBfI3NGxwJw3ze7MVud/9u8Z1AX3H2D0WwWKnP3Ojoc0QyKoqDr2TCyKaMKzSojm1yVVmODknrU/TJC7XiaTUMrq0fNqMa2rcw+suynPNTtFfakSK+gdPNCf34ohnGh6KK9nD4pslnMZPz6PhlL30W1mPHt2peEqx/HI+DEL9CLduYxc8EmzFaVS/uFs/jmoR0mKQJJjNqNQa9jXJy91Wj5Acd1pz1+YW8ifI0cKK7mlRWHHBZHcymKgn+sfdh+ReYOB0cjmkuJ8gBvPVg0+zBk4ZKULp72EWpWDXVfpaPDcQjNqqKVmFEPVmHbUob19wJs3x/BtqIIdXs52uEaKLfYh9r7GND190c/OQL9oECUANeotaktySVt4TMUp60GFKKGX0qfGQ/h7h1wwr6fbcvlyo+2YLFpXJkUxRc3DsFocL4aqXMhiVEztEaNEThuPqPj+Xm48eL0BAD+79d9LjEjdkA3e51ReeYOqXVwEYqioOvRMOHjgSo0Vf7dXJGiKOj62csHtENVaNUdexZ6rV5FLTLbZ5/eXIr11wJs3+dhW1WMurMCLbvG3iKkYa8ZCjOi9PZBNzTIXjs0Icy+fpm7a1xaNU2jKG0VaQufoa70CG5e/vSZ+RBdhl+KcpIV6N/fmMX1n27FpmrMGtKVT64bjJveNV5rS3Sctq821Bo1RgDn92yoM8oowWpTMTjoD+raQV1YsCmb3/YXc/PCVFbcNdohNU/N5Rsdj6IzUG8qpq4sH8+gSEeHJJpBifGCPZVQY18mROni6eiQxFlQwowoIe5oxfWo6Sb0Q04swnVFmtmGVm6BcgtaRb3995pTlBd46OytP/5uKAFu9t89dE5bPN0ctvo6Di//iJI96wDwi+5H98m34uZ18mtcypoM7lm0C4A/j+xGysz+7bb2Z3uTxKgdDYzyx7+xzsjEkOgAh8ShKArv/imJAS+vYG1mGV9sP8I1g7o4JJbm0LsZ8e3aB1PWbioyt0ti5CLsy4R4o+2tRN1fiRLlvKNwxKkdbTWyrShCy6lF61nvMl1E0DCirk5FK29IfiosaOX1UHeKmikvvT358XeHADcUfzeHrU3WVmqKczj403zqyvJAUegyYgaRQy5CUU7+Zf3l5Qf5y/dpANw3No5XLunXof8vS2LUjvQ6hXHdg/kurYDlB0sclhgBdAvy4vWZiVSZbVyVFOWwOJorIHYApqzdlGfuJGLwFEeHI5pJ190b2/5Kew1GST2EyKhCV6QEuqN08UTLrUXNrEE/sH0TI03TwKqBRbXPFm1R0Y77HYuKZj32Oxat4XEV6tVjM0z/kY+hIQlygwB3exLkIt1gZ0PTNIp3r+Twik/RbBbcvAPoMeXP+Hbpc8r9/+/X/TyxxD7w5ZEJPfm/KX07dFIEkhi1u/N6NCRGB4p56PweDo3lxiHRDj1/S/jHDoCVn1F1ZB82cy16o3TLuALFqEeJ8UbLrLYvEyKJkcvSJfihhRntXaRnSdM0e6JSa7OPePtjEnM00bGqaJamic45UQBfA4q/e0NXmBv4uaG4ddwk6I9s9bVk/v4hpfs2AODfLZG4C2/Fzevk0zBomsajP+3hn78fAOCZKX14dGLvdovXkSQxaoZzXSvteEfnM1qVUerQOqM/qqyzsjqjxGnnNvIICMcYEI65vABTThqBPZIdHZJoJl1PH2yZ1fYlEUwWFD/XnwCuM1K8DSjep79kaDbNnvTUWu31OkcToFobWq0Naqz20VtnSwe46Rpuij2xcdOBQQE3XcN9pXEf5ejv3ganHy7flqoLD3Pwp/mYKwpB0dF15GVEJE85ZdeZqmo88N1u/rMqA4CXpifwwHmO/SLfniQxaobWKr4GSIryJ8DTjfJaC9tyTQyNCWidIM9BYaWZEf9ZRa6pjo33jSUp6txeY1sJiO1PQWoB5Zk7JTFyIYqPASXSAy2vDvVAFfrBJy4rIJyfpmlgtrf2qFVWqLCAptmL62vtyQ/mZmY9Hjrw1Nu7rf6Y6BiOJTcnJDqdOLk5G5qmUbRzOVmrPkOzWXH3CaL71Dvwjex5yudYbCq3frGdj7bkAJByWX/uHBXbPgE7CUmM2pm9ziiIb3cXsPxgsVMkRqE+7iRF+ZFZVstNn6ey4d6xuBucoyXreP7dBlCQ+isVDcP2O3o/d0ei6+mDLa8OLacGLcGvwxWzdhRavb1IuUmyU9PQAlRra15rj16xFzB76ht+GuxJkJcePO03pYOOZnImVnMNmb8toOzAZgAC4gYSN3E2Bs9Tr5tZU2/lyg+38OOeQvQ6hfeuTHKpkovWIomRA5zXI7ghMSrhL+NPnbm3F0VRePOKJFZnLGP7ERP/9+s+np7S19FhncC3Sx90Bncs1eXUFmfjFRrj6JBEMynBRghyh9J61ENV6BOcs1WyM9GOtvaU1qOVmNFK6qGyGfMUeejsLUMaEOKOLsqzIfGxJ0C4KfKlxcGqCzI4+NObmE1FKDo9XUddQVj38Wj7atB6WFF8Trz0l9bUc8n7G1mbWYanm44vbhjCRQnOWVrR1iQxcoDzGxaUXeXg+YyOF+5rJOWyAVz98Rae//0Al/SLcOiouZPRGdzwi06gPCOV8swdkhi5GF1PH9SNpWgHq7EBuu4+0nLUjjRNsw9VL61HK7EnQycdsu6tt184PRtae462/hzX2qMerkbdVg5lFpT+AfZRXcLhNE2jcPuvZK/+Ak214e4bTI+pd+AT0QOtxoqaWY2tsA79eWFNRt/lVtQy9Z0N7MqvJMDTje9mD2N0XMeYr+psSGLkAEmRfgR6ulFWa2FrbgXDYpyj5uLKgVF8vTOPL7Yf4abPt7F57jg83JzrwuUfO4DyjFQqMncQNfRiR4cjWkCJ9GicKFDbV4XtQBVKtBe6nj4ovnJhbW2aVUUrs0CpvTVIK623D3k/noJ9rp5gI0qQO0qwO4rxzP/nlRgvlCO1aAVmbBtL0J8f1qlGeDkja101Gb99QPnBrYBCVOxFhHc7D0OE/Ys4bjp7K1+1DXVrGbrhQSiKwr6iKia/vZ7DZbVE+Xnw823DSYzs3AsGS2LUDK05Kg1A11Bn9M3uApYdKHGaxAjgjcsSWX6wmLSCKp77bb/TdakdXTetKv8g1roqDB6n7i8XzkVRFHSjQxqLsCmtRztcg+1wDUqEB7pePvYuN3FWNLOtMQHSSsz2uaP+OMrdoDQmQAQZUQLdUM6inlBRFHTJgdiWFdkvtNvK0Q0NlC40B6nKP8jBn9/CYioj2CeZqPCpGCxGyDCjxVrs8zO56dCfF4ptVRFafh1aXh1bbGamvbuB4up6eoV4s+T2EcQGnf10DB2FosniU812dFRaRUUFfn7nllG/tvIQD3y7myl9QvnxthGtFGHr+HZ3Ph9szOLNK5II93W+C9WuTx6jtiSX7pNvJ7iPc713ovm0ErN91fb8umMbg9ztCVKEzJJ9OpqmQbXNXhvU0DVG1Unqgzx09tagYHeUoIYlLVrxfdVK67GtKgINdAMD0MV6t9qxxZlpmkbBtl84su5bgrwGEu4/Djddw5dFg4LS3du+dttxrYC2tAq0fVWYPBViV6ZSZbaR3NWfH24ZTpgTft63lpZcv6XFyEHGN6ybtjqzFItNdaqF+C7pF8El/SIcHcYp+ccOoLYkl4rMnZIYuTAl2Ig+2IhWabEvNJtdYy/O3lBqX6W8pw9KtJcM0aZhfiCTpaFFqKFQ+mRD430N9iSooWsML32bJphKkDu6RH+0YjNKlEy62p6sdVVkLH0fc24hCRFzMegbWno8dPZkKNb7pN2buu4+1O+vwq9WI8nogUeMJ1/PGoqvh6QDR8k74SD9I46rM8qpYHg35+lO+6MdR0wMiHKePueA2AHkb/mJisM70VT1pKtAC9eh+LqhHxSI1tcP9VAVWkY1VFlRU8sh3XTsQ74DL9VwlKZqUG1FM1nRTBaotKCZrFBtPbFbTId9GYvghluQ0SHvkdLd236TFr52U5l7gENL3qS+qhSd3ojO3R089Oh6+Z7xy8SbW7NR8sq5NSKUl+O7kTQzFqPBuWpJHU0SIwfR6RTO6xHM4l35LDtY7JSJkU3VmPXZNj7dlsvvd4zk/J4hjg4JAO+IHujdPbHWVVFdmIFPROeZkbUjUzz16Pv5o/X2tS8hcrAK6lTUNBPsq0SJbegW8HT9D/HGrrBKC5isaJUWeyJUdZqZod2O1gfZu8YIcHeK1rTjEyJN09Dy66QrtI2oFWZqNuyHCgv1VWUYA8LpOfVO3Dyj7KMJT/Oea5rGM0v38+Qve+npYWR8eACDR0dhkKToBJIYOdDRxGjFwRL+dkEvR4dzAr1Owcvd/p9m9sJUtj94vlM0t+r0Bvxi+lF2YDMVmTslMepgFDcdSi9flB4+aDk1qPuroNKKdqAK28EqlK6e9m/GLrC0iKY1LJFhsja0/jS0AFVZwXaK8k69An4GFF83FD+DfU0vXzd7vZCTJxtqajna4Rp08b4ofZynldnVaSVmbHvKociKB4HgBpE9phJ54UXo3c/chamqGvcu3sW8tZkAXDO2G70ndXP6vydHcfxVrhMb3zCf0eoM56szOurl6f1Yuq+IzLJa/vJ9Gm9eMcDRIQH27rSyA5spz9xOlxEzHB2OaAOKTkGJ8UaJ9kIrMKPur4SSerTsWmzZtSjhRpSevigh7g7/gNc0DerUE1uAKq0nDpE/Sgf4uqH4GuxJXkMy1NZ1QW1JCXJHO1yDml5pL6QP9XB0SC5L0zS0gjrUffYRnPZtKuW16eh6+9Il+fJm/Z3UW1Vmfb6NhalHUBT496WJ3D0mrq3Dd2mSGDlQYoQvQV5ulNZY2JJTwQgn7E7z9TDw/lUDmfDmOt5ef5jL+kcwqU+Yo8PCv5t92H5N4WEs1RW4ectMyh2Voij24fwRHmhl9aj7K9GO1KEVmNEKzBDgZm9Bimq77hvNpkGdDepsaHVqw8+G+zU2MFlOvQL80ZXdj7YA+brZE6EzdH24Il03b3uBeFYN6uYylPPDOkTXp0OU1qOuLwVA1ayUVm+jXEsnZsp1zZ7ctsps5fL/bmLpvmLc9Ar/vXoQVw/q0vi4Vm9DO1QNgK6vtPAdJYlRM7T2PEZH6XQK53UPZtGufJYdKHbKxAhgfM8Q5oyOJWVNJrd+sZ0dD51PgKdjuzHcvP3xCoulpjCTisM7CUkY49B4RPtQAt3RDwtGq7KiHqxCO1wN5RbUTaXgrbePZIvxbnbtzekSHurUY7+fKun5Ix8Dim9D99fRFiAfQ6daG0yXFICtvB5MVmybS9GPDulUr7+lNE2DMgtqfi2ooE+0f8mzeVmoVQowVeyj0LQW3x7x9LpgLnpj80b/FVebuejdjWzKLsfbXc9Xs4ac8KVWK7Og7qkEvYLS3adTDHBoDpnHqAVacx6jo/6z6hBzv9nNpN6h/Hy78w49rzZbGfTqSg4UV3PNoC58ct1gR4dE7vrFHNn4LYE9h9Bz2l2ODkc4gGa2oR6qRjtUdSx5cdeh6+6N0sUT6tXWSXjA3vXl0bAshlFvr/k5et+vIQFygmJoZ6BVWbEtLwSrhhLnja6/vyRHx9FsGlqRGS2/1j6P19GlWQwK+qmRVBdncvCn+dSbilF0BmLGXU1o//HNbmHMKqth8tvr2VtUTbCXG9/fMvykA3w0TcO2rBBMVpRePuj7ddyWd5nHyIWM7+n8dUYA3kYDH14ziD99uJlbhjnHGmX+sf05svFbTFm7UW1WdHr5c+5sFKMefbwfWi8fe23LgSqotdm/Be+pbN5BjiY8Hnp7onM04fHQg6euIQmSxVFbQvExoBsUiLqpFC2nBuL9wF3eOwBbmgntYFXT4nuDghLuARFGCnf+Tvbqz9FUG0a/EHpMuwvvsNhmHz8tv5LJ76wnt6KO6AAPfr5tBPHhvifdV1EUdPF+qBtK0Q5UocV4yfI8SGLkcP3CfQn2cqOkxsKm7HJGxTrvwn0jugVy4JELnGbOC++wOAwePljrqqjKO4hf1z6ODkk4iGLQofTwQYnzRjtSa0+QKq1g1J084Tn+d0l42oSuiydYAkDVGrtoNE1DKzSjhBk7xXuuVVvR8ursa8s1vAeKXrF34XroUCI9G9YQNGKz1JL52wLKDmwGIKDHYOImzsZgbP4SHesPl3HxexsorbEQH+bDz7ePIDrg9F1vSoQHSrjRPsBhRwW6UcGd4t/mdCQxcrCj8xl9vTOf5QdLnDoxApokRfuLqgj0ciPE2zHTyCs6Hf7d+lOydx0Vh3dIYiTsI9m6eqHrKus9OYM/LhGiFZhR15eAnwFdvF+Hm+9I0zR7zVteHVp+LZjsy7ToPHQoDX+TSowX+nBjk+VZqgsPc/Cn+ZgrClF0erqOuZLwpIktem9+3lPIFf/dTI3FxvCYAL6/ZTjB3u5nfJ6iKOgGBGD7rcDevZdb2xhrZ+Wc/TadzPkNw/ZXHCx2cCTN92N6AUNeW8WNn25DVR1XpuYfZ58+oCJzh8NiEEI0k9kGBgVMVtQNpdh+zse2ocQ+0rC03j7ztwvSaqzYtpdjW5KPbUUR2r5Ke1KkgBLibl/ZvoHiqUcJsE8xoWkahTuXkf6/ZzFXFOLuG0zfKx4hYuCFLUqKPt2awyXvb6TGYmNyn1B+/fPIZiVFjTF5G9D1tne3qekmOnvpsbQYOYHze9jXTVuTUUa9VcX9LFa7bm9d/T2x2FR+3lvEc7/v5x8TezskDv+YfqAo1JbkYq4swegb7JA4hBBnpuvmjRLpiXqgEu1gNZhVtDz7Su8A+mmRjbVIWqUF3HVNFkB1FE3ToMaGVmmFKgtalRXFzw1dd59j+2TYh72jV+xzbEV42lvETjHSy1ZfS+bvH1K6bwMAAXEDibtwNgYPn5PufypHB/AAXDuoC+9fNfCsriFKL18Us2pfxLkDteKdDUmMnEBCuC8h3u4UV9ezKbuc0XHO3Z0GMCDKj3mXD2D2wlSeWLKXETGBTOwd2u5xGDx88InoQVXeASoydxLW//x2j0EI0XyKuw59gj9aHz8or7e3FJXUo1nUJkmEur0crbjePtovyL1hORR3+/22mq9K1RpHz2k2DXVLqT0Zqj7JUi3hRmhIjBQvA7p4X/B3Rwk1nnF0Yk1xDgd/TKGuvAAUHV1HX0HEoMktel2apvHYz3t57rf9ANwzJo5XL+mH7ixH/yl6BX1SwFk9t6ORxMgJHJ3P6KudeSw/WOwSiRHATUOjWZ1Ryvsbs7juk61sfWAcXfzbf4Vt/9gBDYnRDkmMhHARil6BYCNKsBH+sCKSpmloR2cMr7KiVVnRsmrs993sI7j0Q459Ttp2VZxyiRXF24Cu57FWGFtaRdNpGo4u3Ftptc+TNaKh1VkHWpH52L467EmZT8PUDIFNR2/pmrEEiqZpFKet5vDyj9FsFty8A+kx9Q58o1q2JJRN1bjzqx28uyELgGem9OHvE3q1asKoldc3qYPqTCQxchLn97QnRisOlvDoREdH03yvz0xkS04524+YuPqjLfx+56h2n3IgIHYAueu+xpSdhmq1oDPIcFMhXJmiKBjOD7PPzFxqQSs1o5XUQ3nDDOOWps03Wmb1KZde0YLdmyRG2uEaMJ98pV6t0tIkBl1SALjpUHwM57xUi81i5vCyjyjZsxYA/26JxE26DTfPkw+lP5U6i43rP93K1zvz0Skw7/IB3D6i21nHddJYU8vQMmvQJQeiRHe+QmxJjJzE0QLsNZmlmK02pxkSfyaebnr+d+MQhry2kjWZZcxfm8m9Y7u3bwwh0bh5B2CpLqcydy/+3RLb9fxCiLahuOtRIvQQYV9zTVM1qLCcsJ+ul+8pC7f/uCSJrqfPsdYoQFEAr4YZy32aXhJba3RjbUkuB36aT13pEVAUuoy4jMghU1GUln2JNNVZmPnBJpYdLMFdr+OT6wZx+YCoVonxeIqXAQ1Qd1XY66TcnL/utTVJYtQMbbUkyPESwn2a1BmNiXOdIuKeId68f9VAVh0q4Y6Rse1+fkVR8I8dQPHulVQc3iGJkRAdlKJTIPDE0Va6Ps1vddH1alkLzbkqTl/L4WUfolrrcfP2p/vkO85qapHiajPT3tnA5pwKfI0GFt88tHGC4Nam9PCBrBqosqKmm9APCGiT8zirzpUGnqU5c+aQlpbGpk2b2uwciqI0jk5bfrCkzc7TVi7rH8mrlyY6bERdQKx9UdnyzJ0OOb8QQhxPtdaT8esHZCx9F9Vaj190Av2uefKskqLcilrOS1nL5pwKgr3c+P3OkW2WFIG9/ks3wL48iHao2l5v1IlIYuREjs1n5HqJ0fEsNpVXVhyk1tJ2LWx/5Nc1AUWnx1xeYB/pIYQQDlJXlk/aF/9HcdoqQCFq+Ax6X/oAbl4tX4vsQHE1Y99YQ3phFV38PVg5ZzTJXQNaPeY/0oV52NcbBGw7KjrV3EaSGDmRY/MZ2euMXNW1H2/loe/SuG/xrnY7p97oiU+UfS6lcpnsUQjhICX7NrD786eoLc7B4OlHn5kP0mX4JSi6ll9udxwxMTZlDZlltfQM8Wb1nNGnXPesLegS/UGvQGn9sVGBnYAkRk4kPtyHMB936qwqG7PKHR3OWfvzyG4oCry7IYv/bsput/MGxCUBULJnXaf6diOEcDzVaiFz2Ucc+vktVIsZ3y596Xftk/hFJ5zV8dZllnL+/LUUVJpJivJj1ZzRdAtq3xFiiqceXV9f+5qDnagAu/O8UhdgrzOyd6e5Yp3RURN7h/LkJHs/+l1f72BnnqldzhvcZwSK3o2awkyqjuxrl3MKIURtSS7p/3uWop3LAIXIoRfTZ+aDuHsHnNXxlu4r4sK31lNea2FUbCDL7hxFuK+D1qTs4YN+Yji6qPafo85RJDFyMucdLcA+4Drrpp3MoxN6MblPKLUWlSv+uxlT3YlDbFubm5cfIfGjAcjfuqTNzyeE6Nw01Ube5h/Z/dlT1BRlYfDwofel99N15GUourObcuXrnXlMf8++7tmk3qEsuW0EAZ6Om5tN0SlNhuu76np2LSGJkZM5Wme07nAZde1YvNzadDqFj64dRHSAB/uLq7nti+3t0r0VPuhCAMozUqkty2vz8wkhOqfa0jzS//c8OWu/RFOt+McOoN+1T53TdCELNmVz5YebqbepXDEgkm9mD8Xb6Dyz6qi5Ndh+K0Crdd1rU3NIYuRk+ob5EO5rpM6qsiGrzNHhnJMQbyMLbxiCm17hxz2F7C+ubvNzegZGEhA3EICCbb+0+fmEEJ2LpqrkbfmJ3Z89QXXBIfTunsRNnE2v6ffh7hN41sd9beUhZi9MRdVg9rAYPrs+2akm+tVUDXVvFVTbsG0u7dAtR5IYORlFUZjQMD/F92mFDo7m3I3oFsgHVw1k09yx9A5t2arRZyti8BTAPrGapaZ96puEEB1fbVke6V8+T86a/6HZrPh360/idc8QkjDmrJcL0TSNJ5bs5YFvdwPwwHndeedPA9Cf5WKwbUXRKeiHBYJBgZJ61PSO+9kqiZETujQxAoDFu/I6xOiqawd3pW9Y+w0x9YnqhXd4HJrNQuGO39vtvEKIjklTVfK3/szuT5+kOv8gendPYifcTK9L5uLue/aLfquqxn3f7OaZpfbBIs9M6cOLFyc47cKtio8bukEBAGj7q1Dz6xwbUBuRxMgJTe0bhtGg42BJDbvyKx0dTqtacbCYu7/e2aYJn6IoRAyaDEDhjt9RrZ1r1lYhROupK8tnz1f/JHv1F2g2C34x/eh33TOE9ht7TgmM1aYye2Eqb6zOAOwLcj86sbfTJkVH6bp4ocR5A6BuKUWrsTo4otYniZET8jEauLBXKACLd+U7OJrWU1hpZuo7G5i3NpO31x9u03MF9kzG3TcYa10Vxelr2/RcQoiOR9NU8rf9wq5Pn6Aq7wA6Nw9iL7iJ3pc+gPEcWokA6iw2rvxoCx9uyUGvU/jwmkHMGR3XSpG3PV2iPwS4gUXDtqnj1Rt1usRo5syZBAYGcsUVVzg6lNOa0f9Yd1pHEeZr5JkpfQF44NvdpLVha5ii0xM+aBIABduWoGlqm51LCNGx1JUXsOerf5G96nN7K1F0AonXP0No4rhzbtGprLNy8XsbWbwrH6NBx1ezhnB9ctdWirx9KHoF/dAgcFNQghwzv1Jb6nSJ0b333suHH37o6DDOaHpCODoFtuWayCztOFOx3z+uO5N62+c3uuaTLW06JUFowhj07p7UlRdQnrG9zc4jhOgYNE2lIHUpuz99gqoj+9C5Gek2/kZ6z3gQo2/wOR+/tKaeC99ax+8HivEx6vnx1uFc0i+iFSJvf4q3Af3EcPT9/VGcrFD8XHW6xGj8+PH4+rZfIfDZCvUxMibO3lzbkbrTdDqFBVcPJMzHnZ15lfz1h/Q2O5fe3ZPQ/ucDUCATPgohTqOuopC9X/2LrJWfoVrr8e0aT+J1zxDW//xWqfs5UlHHeSlr2ZhdTpCXG7/9eRTjG0YguyrFeGw6AU3V0Oo6xvxGTpUYrVy5kunTpxMVFYWiKCxevPiEfebNm0dcXBweHh4kJyezatWq9g+0ncxIjAQ6VncaQISfBx9cNRCAN1Zn8H1aQZudKzxpIopOT+WRfVQVZLTZeYQQrknTVAq2/8buTx6n8mgr0fnX02fmgxj9WidxOVRSzbh5a9hdUEmUnwcr7hrN0JiAVjm2M9BqbdhWF2NbV4Jmc/16I6dKjKqrq0lKSuKNN9446eMLFy5k7ty5PProo2zbto2xY8cydepUsrKyGvdJTk4mMTHxhNuRI0daHI/ZbMZkMjW5tacZDcP2V2eUUlRlbtdzt7Wp8eHcN9ZebNiWiZG7TyBBvYcD0mokhGjKXFHE3q9fImvFJ/ZWoi59Sbz2acIGXICitM7lcXd+JWNT1nCopIbuwV6smjOafhHO32vRYlVWqLCg7ih3dCTnzHnmGgemTp3K1KlTT/n4K6+8wi233MKtt94KwGuvvcaSJUuYP38+zz//PABbtmxptXief/55nnrqqVY7XkvFBnkxqIsf23JNfJdWwOxhMQ6LpS3886J4RnYL4k9JkW16nohBkyjZs5bSA5voarqi1b4FCiFck6apFO1cQfaaL1AtZnQGd7qO/hNhA8a3WkIEsDGrjGnvbqC0xkJihC9Lbh9BpJ9Hqx3fWSieenRDAlHXlqAdrkENNqKL8XJ0WGfNqVqMTqe+vp4tW7YwadKkJtsnTZrE2rVtMxz7kUceoaKiovGWnZ3dJuc5ncbutJ0dp87oKKNBz5UDo9p83g6v0Bj8ovuBplGQurRNzyWEcG5mUzF7F73M4eUfoVrM+ET1pt+1TxOeNKFVk6Lf9xcz8a11lNZYGB4TwPK7RnXIpOgoXZgHur72ljB1ezmaqe0XDm8rLpMYFRcXY7PZCA8Pb7I9PDyc/PzmJw2TJ0/mT3/6Ez/++CNdu3Zl06ZNp9zXaDTi5+fX5NbejnanLd1fRGVdx5tI66iymnqu+2Qrm7LK2+T4EYPtEz4W7V6Jta7t12wTQjgXTdMo3LmcXZ88RmVOOjqDOzHjrqHv5X/FIyCsVc/1za58LnpvA1VmGxN6hbD0zyMJ8nJv1XM4I6WPL0qoEWwatrXFLpscuUxidNQfWxc0TWtRi8OSJUsoKiqipqaGnJwchg4desbnpKSkkJCQ0Kx9W1tihC89gr0wW1V+3uv6a6edymM/7+Wzbblc+8mWNkkA/WL64RncFdVipmjXilY/vhDCeZlNxexb/DKHl31obyWK7Em/a58ifOCFrdpKBPDRlmyu+HAzZqvKzMQIvr9lGD5Gp6paaTOKoqAbEgh+BqhTsW0tc8llrVwmMQoJCUGv15/QOlRYWHhCK1JrmzNnDmlpaadtXWoriqI0dqd904GG7f/RM1P6EBPgycGSGu5ZtLPVj68oSmOrUcH2X1FtHbf1TQhhp2kqRbtWsOuTxzFlp6Ho3YgeezV9L/8bHgGtf914fXUGsz5LxaZqzBrSlYU3JGM06M/8xA5EMerRjwlBifBAPzTI6Zc4ORmXSYzc3d1JTk5m6dKmNSJLly5l1KhRDoqqfcxsmAX7h/QC6q0dcwbnQC93Pr5uEDoFPtySw6dbc1r9HEG9h+Pm7Y+lupzSfRta/fhCCOegqTaK96xj18ePkfn7f1EtdfhE9iTx2qeIGDQJRde6lz5N03hm6T7uW7wLgHvHxvHelQMx6F3mEtuqFHc9+hHBKN7HWsq0ete5djnVv1pVVRWpqamkpqYCkJGRQWpqauNw/AceeIB3332X999/n/T0dO6//36ysrK444472jQuR3alAYyICSTc10hFnZVlB4sdEkN7GBMXzD8m9gbgzq92cqikdWuBdHoD4UkTAcjftsQlm3iFEKem2qwU7V7Jzo8eJeOXd6gry0Pv7kn0mCvtrUSBrT/LdJ3Fxs2fp/LEkr0APDGpN69e0g9dB5sN+lyo+XXYfslHza9zdCjNomhOdHVYvnw548ePP2H7rFmzWLBgAWCf4PFf//oXeXl5JCYm8uqrrzJu3Lh2ic9kMuHv709FRUW7F2L/+cvtvLM+i9tHdOPNKwa067nbk9WmMn7+WtZkljE8JoCVc0bj1orfuqx11Wz/4CFUi5neMx7EP6Zfqx1bCOEYqtVC0e6V5G/5ifqqUgAMHj6ED5pE2IALMBjbZuh4bkUtly/YzMbscvQ6hVcv6cfdY1xnMdj2YttUipZbCwrohgSh6+LZ7jG05PrtVImRs3NkYvTznkKmvbuBCF8jOY9d2KG/jRwurWHgKyvwNRr4/c5R9Azxbt3jr/iUwu2/4heTSJ8ZD7TqsYUQ7cdmMVO0czn5W3/GUlMBgJuXPxGDpxDa/3z0bmde4NRqU/khvZDCKjM3DY1u9hex9YfLuPy/m8gzmQn0dGPhDclM7B16Li+nw9JUDXVLmT05AnSDA9t9nqOWXL87R6l8B3BBzxD8PAzkV5pZn1XGqNggR4fUZroFefHdLcNICPdtkyGuEQMvpHDHb5iydlFTnINXiGutbC1EZ2cz11Kw43cKti3BWlcFgLtPEBHJUwntNxadofmfG5PeXs/ygyUAvL3+MB9dO4i+YaefmfqDjVnc+dVO6m0q/cJ9WXzzUHq08he4jkTR2UerqXoFLasGdWsZ2DR0cc75njlVjZGzcnSNEYC7QcdF8fZRFB1pUdlTGRMX3CQpas2GTaN/KIE9kgEo2CbLhAjhKqx1VeSuX8z2BX8hd91XWOuqMPqHETvhJvrP+ifhSRPOmBRtySnHbD222OlF8eGEeLsT6OnGlpwKBr+ykjdWZ5z0M8diU7lv8S5u+WI79Tb7cPy194yRpKgZFEVBNygApbv9vVK3l6Pur3RwVCcnXWkt4MiuNID/bT/CVR9toWeIN3sfHu+SwyDPxgcbs/h6Zx6Lbx6GvpW6EKvyD5L+xbMoOj0DbvoX7j6BrXJcIUTrs9SYyN+2hMIdv6Na7OtGegRGEjX0YoJ6D0PRnX5IfL1V5csdR3hjTSbrD5fx0bWDuG6wvaW4pt6KTlEoqaln9sJUlu6zD3CZ1DuU968aSJS/fbbqkup6rvpoC78fsD/+5KQ+/GNirw5d1tAWNE1DTTOh7a9CifGyJ0vtcC2TrrQOakqfMIwGHQeKq9mdX0liZPsnZ+0tz1THvYt3UV1v46lf9vL0lL6tclyfiB74RPWi6sh+Cnf8TtdRl7fKcYUQrae+qoz8rT9RtGslqrUeAM+QaKKGTiew5+AzTs54pKKOt9Yf5u31hymotCdUbnqFjNKaxn283O2XwS7+nvx06whS1mby8PdpLN1fxMGSaqL8PdiZZ2LGB5vIKK3Bx6jnw2sGNc4vJ1pGURT0/fxRA91RIj2c8gu+JEYuxNfDwMReIfyQXsiiXfmdIjGK9PPgrSsGcP2n23j2t/2MiQtiUp/Wmb4/YtAUDhzZT+HOZUQOuQi9e8ddx0gIV2I2FZO35UeKd69GU+2TsXqHxxE1bDr+sUlnvJjWW1Vmfb6Nr3bkYVXtnSJRfh78eWQ3bh/RjXDfkxdl63QK94yJY2KvEFYcLGFs92C+2nGEmz5PpbreRvdgLxbfNLRTfPa2NV3UsZFpmqqhZdWgdPNyikRJEqNmSElJISUlBZvNduad29iMxEh+SC9k8a48Hruwt6PDaRfXDu7KikMlvLM+ixs+3ca2B85rbN4+FwHdkzAGhGMuL6A4fXXjHEdCCMeoK8snb/MPlOxdj6baP299o3oTOWw6ftEJp71oWm1q44SK7gYdBZVmrKrG2Lgg5oyOY2b/iGaPOIsP96VPqA9PLNnLM0v3AeDlpueVS/pJUtQG1G3laNk1KCX19q41B3dPSo1RCzi6xgigqMpM5FO/oGqQ8fcJdAtq3yGPjlJrsTHq9dVsP2JibFwQv90xslVmlS3cuYzDyz7C6BdC/xv/2eoz4gohzqymJIe8TT9Qun8jNFyS/KL7ETXsYny79DntczNKapi/LpOPt+Sw7YHzGluDNmeXY9ApDOzi3+J4Kuus3PjZVr7ZXQBAr1Bv9hdVoyhw/7ju/N+Uvni4da6lPtqSmt0wUk0DJcoT3ZDAVk+OWnL9lquAiwn1MTImzj5Uf/Hujj867ShPNz1f3JCMr9HAqoxSHm+YZfZcBfcdhcHDB7OpmLKDW1vlmEKI5qkuPMz+H95g9yeP25fp0TQC4gYSf+Wj9Jn54CmTIk3TWLqviBkfbKTnP3/jpeUHya8088lxSwkNiQ44q6ToQHE1I19fxTe7CzAadHxw1UC2zB3HbSNi0DR4ZcUhhv9nFTuOmM76dYumdNFe6IYGgQ60I7WoG0rQbI5rs5HEyAUdLfpbvLPzJEYAvUJ9eOdPSSgKrTYbtt7NSNiACwDI3/qTLBMiRBvTNA1Tdhr7vn2NtM+fovzgVkAhsOcQ+l3zJL2m34tPRI+TPrfabOWN1Rkk/GsZk99ez7e7C9A0uLB3CItvHsp9Y7ufU2y/7C1k2L9XkVZQRaSfkeV3jmLW0Gh8jAbeuiKJb24eSpiPOzvzKhn271W8uOwANlU+M1qDLsoT3fBg0CtoBWbUdSVoDlobVLrSWsAZutIAMktr6P7cb+gUyHtiEqE+Z57dtSPZU1h5xgnYWsJSY2L7Bw+h2az0veJv+EZ1jtqtjk61WdHppYzSWdjq6yjZu46C7b9RV3rEvlFRCO49gsgh0/AM7nLGY5RU1xP9zFLqrCq+RgOzhkZz16hu5/x5oGkar606xF++S0PVYHhMAF/NGnrSWsbCSjO3f7mdbxu62d7+0wBuHd7tnM4vjtGKzdjWl4BVQ4nyQD8suFWOK8P1W5kzFV8DxAZ5MTDKj9QjJr5LK2D2sBhHh9Sujv8QrLPY0OuUc2pBcvPyI6TvKPtaS1uXSGLk4mqKc8j49T1qCg9j8PTD3TcIo28w7r5BuPsG4+4bjLHhd4Onr1OMgunI6soLKdzxO8Vpq7DVNywJ4WYkJH404QMvxCMg/KTPs6kaP6QXsOJgCS9fYl/TMNjbnYcv6EmItzs3JHfFz8Pt3OOz2Ljjyx18uMXeDXfTkGjmXd7/lDVEYb5GFt00lA82ZfPp1lxmDYk+5xjEMUqIEf3oEGxri1G6OWbiTGkxagFnaTECePqXfTz5y14ujg/n21uGOTQWRzlYXM2VH21mYq9QXrg44ZyOVVuax66PHwUU+t/43Ck/rIXz0jSVgm1LyVn7VeMQ7zNR9G6NSdLRxMnYkDy5+wbh7hOEznDuF9/ORtNUTFlpFGz/lYrMnYD9MmMMCCd8wAUEx48+5cKuxdVmFmzKYf7azMb5hrbcP45BZ1EvdCa5FbVctmAzmxoWgX15egL3jIlrdrKsaVrjvvVWlVdXHuK+sXFSmN0KtHoVxf3YF141qxoUBaWr51l9mZEWo05gZv8InvxlL0v3F1FltuJj7Hz/lNvzTGzLtd/Gdg/m4oSzT2Y8gyLxj02iInM7+dt+IXb8Da0YqWhr9ZWlHFr6HpU56QD4xyYRM+5qVIsZc2UJ9ZWl1Df8tN8vwVJdgWazUFdeQF15wSmPbfDya5os/SF5Mnj4SKtTA5u5luI9ayjc/luT99S/W3/Ckybi163fSSdltKkav+4v4v0NWSzenY+lofA20NONW4bHEN4G5QLrMku5/L+bya80E+Tlxhc3DOGCXiEtOsbx/+6P/rSHl1cc5LNtuXx+w+BW7e7vjI5PirQ6G+qOCnv3WlYNugH+KL5t94VFWoxawJlajDRNo/c/f+dgSQ1f3JDMFUlRDo3HUe5dvIs3VmcQ5OXG1vvHERN49tMXmHL2sPfrf6Ho3Uia/RJunvLB5gpK9m3k8LIPsZlr0BnciR57NaGJ550xWVFtVixVZZgrS6mvLG5MnsyNSVRJ42zLp6N398Q3Oh7/mH74xyRi9O98K6zXluVRuP13itNXNy7ZoXf3JCRhNGEDJpyxBfa73flc+sGmxvvJXf25Y2Qs1wyKapyZujW9vzGLuxoWge0f6cuim4bSPfjcum1+3lPIrM+2UVRdj5ebnjcu68+sIV0laW4Fmk1DO1CJurcSVEABpZcvuj6+KPrmvb8tuX5LYtQCzpQYAfzluzReXnGQawd14ePrBjs6HIcwW22MS1nLpuxyRnQLZPmdo3A3nF29kaZppC18mprCw3QZMYOoYZe0crSiNVnNNWQt/4SSvesA+8zI3SfdhkdgRKscX9M0bHXVjS1Mf0ya6itLsdRUnPA8Y0A4/jH98Ivph1/XvujdPU9ydNenaSoVmTso2P4bpqzdjds9AiMJT5pAcN+RJ33tZquNb3YVYFVVrm1Yr8xiU0l6eQUTe4dyy7BokqJav9vs6Hke/C6NN1ZnAHBZ/wgWXD2o1Vrc80x13PjZNn7bb19P7brBXZh32QB8PTpfi35b0KqtqDvK0QrsyTdeenQDAtBFnHnCX0mM2oizJUZrMkoZm7IGfw8DBU9OPuuEwNVllNSQ/NpKymst3D+ue2Oh5tko2bueQ0vexuDpR9LNL0p9iZMy5ewlY+m71FeWgKIQNXQ6kUMvbvdRaKrVQk1xNqas3VRk7aIq7yBox4YYKzo9PhE98OuWiH+3RLxCY864vpezs5prKN69isIdv2M2FTVsVQiISyIsacIpZ6jemWfivY1ZfLIlh5IaCzEBnhz8+4TGhaGPr9dpC8XVZq76cAvLDpYA8NTkPjw6ofUXgbWpGi8sO8ATS/ZiUzV6hnjz5Y1DGBDl+GtGR6BpGlpeHerOCqi1gQL6ieEo3qf/vy81Rq3M2UalHTWyWyDhvkYKKs0sO1jM5FZaQ8zVxAV78f5VSVy2YDOvrjzEuO7BXJp4dq0GgT2H4L72K+orSyjZs47QxHGtHK04F6rVQu6GxeRv+RnQMPqF0n3ybfhE9nRIPDqDGz4R3fGJ6E7UsOnYzLWYctKpyNqN6fAuzKYiKo/so/LIPnLXfY3Bwwe/mH6NLUruPoEOifts1JbkUrD9N0r2rG3sYtQbvQjtN46w/uNP2oVoqrPweeoR3tuQxabs8sbtXfw9uGFIV8xWW2NXWVsmRTuOmJjxwUYyy2rbfBFYvU7h7xN6cV73YK79ZAsFlWa83KUYu7UoioIS5YkSZkTdU2nvVjsuKWqNBFtajFrA2VqMAP785XbeWZ/Fn0d2Y/7lAxwdjkM98O1u1mSUsvCGZGLPYamU/G2/kL3qczwCI0m8/hmX/4bfUdSW5HJoyTvUFGcBEJIwlphxVzt1V1VdeWFja5IpOx3VUtfkcc/gLg2JUiK+XXqjM7g7KNKT01SV8oxUCrb/1ljYDuAZ3JXwpAkE9RmB3u3UhdF3fLmDt9cfBsCgU7ikXzizh8UwuU9YY0tRW/tyu30R2BqLjR7BXiy+eRj9ItqnfrC0pp6deSbO63GsqNtstWE0SKLUFjSTBduWMvQD/FGCm/5dSldaG3HGxOjnPYVMe3cDkX5Gsv9xYas3C7uS+oZZUs+1S9FmrmX7Bw9hq6+l1/T7CIhLao3wxFnSNJXCHb+Tvfp/aDYLBg8fYifcRGAP16qrU21WqvMP2ZOkrN1UF2RydBg72KcO8O3S296a1C0Rz6AuDivctdZWUZRm7y6rryxpCFAhsPtgwpIm4tul9wmxFVSa+e/mbCb3CW2sEVp/uIzZC1OZPSyGG5K7nnJV+7Zgsak8+tMeXlp+ELDPjv3Z9ckEeTku+fxtfxGzF6by4TWDmiRLonXY1peg5du/fCgxXuj6+qJ42VuTJDFqI86YGNVbVcKeXIKpzsqau0czMjbI0SE5jfSCSuLDz+6bYfbqL8jf+jO+XfrS9/K/tnJkornqq8rI+PX9xuJe/26JxE6cjbt3gGMDawWW2kpM2emYsnZRcXg3luqyJo+7eQccK+KO6XfGUZKaakO1WdFsloafVlSbpeGnffux30+2zf48c3kBJfs2otksABg8fAjpN46wAeMx+jadhdhqU1myt4j3NmbxfVoBVlXj9hHdePMKe+v10ctLeyd42eW1XPPxFtZm2t/T+8d154WL4ltl4elzMWH+WpYdLEGnwD8m9uaxC3u3W8tZZ6DV21B3m9AO1zRuU8KNKLHeVHrWExAYIIlRa3PGxAjguk+28tm2XB46vwf/OseJDjsCTdP4+097+NeyA3xxQzKXD2j5VAb1laXs+O/DaKqNhKsfxzsstvUDFadVemAzmb//F1tdNYrejZixVxHaf3yHHP6saRp1pUfstUlZu6jM3feHqQIUPAIjUBTdCcmOarPaJ7Rs5Y9yr9AYwpImENx7+AldfIdKqnl/YzYLNmVzxHSse3BEt0DmjI7luobRZo7wU3oBN362jZIaC34eBt67MumsPgPaQrXZyj2LdrFgczYA47oH8fG1g+ka4Lzdwa5IKzWjpleiFZkbt1V61RM0ubskRq3NWROjL1KPcPXHW+gZ4s3ehzvmhaOl/vp9Gi8tP4ifh4Etc8fRI6Tlc5QcWvIOJXvXEdR7OD2m/LkNohQnYzPXkrXyU4rT1wDgFdqN7pNvxzOobYplnZFqtVB5ZF9jfVJtcc6Zn3Q8RUGnd0PRG1D0hsbfdcff1xlO3KY3oHf3ILDnEHwie570s0RVNeKe+5XscntCFOLtzvXJXbllWEy71e6cjNWm8viSvfzz9wMADO7iz8Ibks/q/35b+3hLDnd9vYMqs41gLzc+uHrQOU1QK05Oq7KiZlajZdVQFaUROKiLJEatzVkTo8o6K2FPLsFsVdn50PkO/XByFhabygXz17Ims4wBkX6svWd0iyeKqynKYvdnT4KiY8BNL5zQjSBaX+WRfRz65V3qTcWgKEQmTyNq+KWdfjHY+upyaotzUHT645IZNxS9/g9Jj5v9p671inu35Vbw+bZcnp3at7Er6skle9mQVcYtw2K4pF+Ew6cKOVJRx7WfbGHloVIA7hwVy8vTE5x6aY79RVVc8/FWtuba58Jad88YhndznVGKrkSzaZhMJgKCmteV1rk/bToIXw8DE3uF8EN6IYt25UliBLjpdXx+QzLJr65kR56JO77cwX+vGdSi1jSv0Bj8ouMxZadTkLqUmLFXt2HEnZtqs3JkwzfkbfkRNA13vxC6T7pVFvRt4O4d0K51VeW1Fj7dmsv7G7MaL9xj4oKY3s8+DcYTk04svnaUpfuKuP6TrRRV1+NrNPD2nwZw1cAujg7rjHqF+rDmntH87Yd0iqrqGRYT4OiQOixFrzR7hmwAGYfcDCkpKSQkJDB06FBHh3JKR+fkWLwz38GROI8u/p58fn0yep3Cx1tzmb/2cIuPET5oMgBFu1ZiNdecYW9xNmpL80j/37Pkbf4BNI3g+NEkXvOUJEXtTNM0lh8o5oZPtxL11C/cvWgnW3MrcNfruDIpiij/Y7MLO0NSZFM1nliylynvrKeoup4BkX5smjvWJZKio4wGPa9emsiHx31pyzfVMeuzbeSU1zo4us5LutJawFm70gCKqsxEPvULqgYZf59At3OYx6ejeXn5Qf7yfRpueoU9f72AuODmvzeaprHrk8eoKz1C1zFXEjl4ShtG2rlomkbRzmVkr/4C1VqP3uhN7AWzCOo1xNGhdUo7jpgY+MqKxvuJEb7MHhbD9cldCPFuv2H2zZFvquP6T7fx+wH70hu3Do/h3zMS8XTirrPmuuHTrXyyNRcfo56nJ/fl7tGxDh9N1xHIzNedUKiPkTFxQaw8VMri3fncN7a7o0NyGg+c152deSYm9A5pUVIE9m/GEYMmk/nbBxSkLiU8aWKnr3dpDZbqCjJ+fZ+KwzsB8IvuR9yFs11qJmhXZrGp/JBeQFZZLfc2fFYMiPLjvO7B9Ar15tbhMQyNDnCKlqE/WnagmOs+2Up+pRkvNz1vXjGA65MdNwqutf3l/J4cKqlh3eEyHvh2Nx9uzubNKwYwLEb+b7QXaTFqAWduMQJ4deVBHvw2jfO6B7PsrlGODqfDUK0Wti/4C9YaE90n3UZw35GODsmllR3cSuZvC7DWVaHoDXQd/SfCkybIDOPtYF9RFe9tyOLDLTn2pSrc9OQ+fiH+nvY1Adt6vbJzoaoaz/2+nyeX7EXVoF+4L1/cmHzWc5U5M1XVeG9jFn/7IZ2yWguKAn8e0Y3npsUT4CnrN54NaTHqpGYmRvLgt2msyiihuNrsdM3fzqKw0sy3afncOrxbs/bXGdwIT5pI7rqvyd+6hKA+I5z24uGsNE2jKu8AhTt+o3TfRgA8Q6LpMfl2PINdpybEFVWbrXy5I4/3N2axKqO0cXuYjzs3DonGoh636K2T/l0XVZm54dNt/LLPvmjtTUOjeWNmYotHmroKnU7hthHduLRfBH/5Po2PtuTw5rrDBHi68dy0eEeH1+F1zL+qTio2yIuBUX6kHjHx3e4Cbh4W4+iQnE55rYUhr60kp6KOQE+3Zk/8Ftb/fPI2fU9NcRaVOXvwi5YPp+aw1Jgo2bOWot2rqCvLa9iqEJE8hS7DZ6AzyLfftvbv1Rn846c9AOgUmNo3jNnDYrg4IRw3F6hdWXWohGs+3soRUx2ebjpSLhvATUOjHR1WuwjzNfLfawZx09Bonv11P3+74Nhiyc7cuufqJDHqYGYkRpJ6xMTiXfmSGJ1EgKcbVw3swssrDnLzwlQSwn2b1RRv8PAhJGEshTt+I3/rz5IYnYamqpiy0yjavZLyQ9vQVBsAOoM7Qb2HEdZ/PN7hcQ6OsmMqqa7n4605JIT7cmFv+2r3NyZ35b+bspk1NJpZQ7rSxd81ZllWVY0Xlx/kHz/vwaZq9A3z4YsbkkmMdL4yhrY2vmcI43seW1tN0zSmvLOeUbFBPDy+p1PP1+SKpMaoBZy9xghgZ56JpJdXYDToKHpqMj5GyX3/yGpTmfT2epYfLKFvmA8b7h2Lr8eZ36e68kJ2fvgIoJF43TPSBfQH5soSitNWU5y2+tjCo4B3eBwh/cYS3Gs4eqNrXJRdiaZpLDtQwjsbDrNoZz71NpVJvUP5+fYRTfZxpdaFkup6Zn22jR/3FAJw3eAuzL98gHyeNfgpvYCL3rN3SfcK8Sblsv5MbEiExclJjVEnlhjhS49gLw6W1PDznkKuSHKONYKciUGv47Prkxny2kr2FFZxyxepLLwh+YwXDo+AMAJ7DKbs4Bbyty0hbuLsdorYeak2K+UZqRTvXknF4d0cXS1eb/QmuO8IQhPG4hUqLZdtocps5aMtOaSsySCtoKpx+8AoPy7pF9EkGXKlpGhdZilXf7yF7PI6jAYd/5mRyK3DY1zqNbS1KX3D+Pz6ZO7/dhf7i6uZ9PZ6rh3UhZemJxDh53HmA4jTkhajFnCFFiOAh77bzSsrDnHd4C58dO1gR4fjtNZllnL+/LVYbBovXpzAg+f3OONzqvIOkP6/51B0BpJufhE3b/92iNT51JbmUZy2iuL0NVhrKxu3+3aNJ7TfWAJ7JEv9UBs7ulI7gLe7nuuTu3Lb8BgGdw1wbGBnSdM0XllxiEd+TMeqavQK8eaLG5NJiuqc/8eao6LWwmNL9jJvTQaqBv4eBp6bFs/tI7qh10kieTxpMWplKSkppKSkYLPZHB1Ks8xMjOSVFYf4Pq2Aeqvq8HWMnNXI2CBevSSRuxft5P2NWdw9Jhaj4fR99T6RPfGJ7ElV3gEOr/iE6NF/wujfOZqwbRYzZQc2U7R7JVVH9jdud/P2JyR+DCEJY/EICHNghB2Xpmks3VfE8JjAxqH1Nw6JJqu8lrvHxHHTkOjG7a6orKaemxem8u3uAgCuGhjFW1cMwM/DdV9Te/D3dOM/MxK5Mbkrd361gy05Fby17jC3Do9BjyRGZ0tajFrAVVqMVFWjyzNLKag08/Ntw5nURy5Wp6JpGilrMrkhuWuzLyzlGans/+4/DfcU/GMHEDZgPP7dEjvcXDyaplFTdJii3Ssp3bsBW33DMgWKjoDYAYT2G4d/bP9WXbRUHFNZZ+XDLdm8sTqDvUXVvHppv8bJW602FZ2ioHPxloFNWeVc9dFmMstqcdfreOWSftw5qpt0nbWQTdWYvzaT5K7+jIwNAuBwaQ2ltRYGRvl1+vdTWow6OZ1O4ZJ+4byzPotFu/IlMToNRVG4e0zLRkgFxA2k1yVzKdj2C6bsNCoyt1ORuR2jXyihA8YTGj8Gg6dPG0XcPqx11ZTsXU/x7lXUFGc1bjf6hRLSbxwh8aNkluo2tL+oipS1mSzYlI2pzgqAr9FAneXYnEOuvkyEpmm8vjqDv3yfhsWm0T3Yi4U3JJPsol2BjqbXnfhZ9vaGwzz/2wG6+HswLT6Mi+PDmdArpMPO/9RapMWoBVylxQjg5z2FTHt3A5F+RrL/caHLf6tsD5qm8Z/VGRwuq+WVS/o16zm1ZXkU7VxOcdrqxtYURW8gqPdwwgZcgI8LDUvXNI3K3H0U715J6YHNaDYLYH89gT2HEJowFt+ufTpcq5gzUVWNmQs28V1aQeO23qHezBkdx6whXTtM11JpTT1//t8Ovtppn9vqsv4RvHvlQJnVuZU99N1u3lx7mBrLsTIQD4OOC3qGcFFCOLOHRZ+xfKCjaMn1WxKjFnClxMhstRH2xC9Umq2suXt0Y9OqOLUtOeUMfW0VAB9eM6hF6y/ZLGZK926gcMfvTVpYvMJiCRswnuDew9EZ3Fs95nOl2qxUF2ZiykqjZO86zOXHLsiewV0JTRxHcJ8RGDxcuwXMmdVabE0WP73yw818uSOPaX3DuGdsHBf2Cu0wX2xUVeO/m7N5+Id0iqvrcdMrvHhxAveMiev0XT1tpc5iY/nBEr5PK+CH9AIOl9m/wIV4u5P3xKTGIu2MkhpiAj07bNG2JEZtxJUSI4BrP97C56lH+Mv5PXjh4gRHh+MSnliyl2eW7sPTTcfae8a0eESMpmlU5x+kcMcySvdvQlPt3SB6ozchCWMI638+HgHhbRF68+JTbVQXHqYyZw+mnD1U5e1HtZgbH9e5GQnuM4KQfuPwDouVi1Ub2ltYxRtrMvhoSw6b7htLr1B78rmvqAqdotAzxNvBEbauHUdM3PX1DtZmlgH2tc7euypJFkdtR5qmsTu/ku/TC1A1+PuEXo3bo5/5lXqbyrS+YVyUEM6k3qEuXdD/R5IYtRFXS4y+SD3C1R9voVeIN3seHi8XuWawqRoXv7eBJXuL6B7sxab7xhLodXYtPZYaE8VpqyjcubzJhId+MYmED7gA/9gBKLq27ZbSVJWa4mwqc9Ix5eyhMncfqqWuyT4GDx98u/bFP7Y/QT2HoneXeVDaiqpq/LinkDdWZzSu+wXw1OQ+PHZhbwdG1nZMdRae/GUfr6/OwKZqeLvreWJSH+4bG+cSS5J0BodLaxj4ygoqGurZAAw6hXHdg7koIYxL+0XQPdi1E3VJjNqIqyVGlXVWwp5cgtmqsvOh8+kX0fFWoW4LJdX1DHltJYfLapnUO5SvbxpyTsWKmqpScXgHhTt+p+Lwrsbt7r7BhCaeT2i/sbh5tc7fk6ap1Jbk2pOgnD1U5u7FZq5pso/e6I1vl974de2Lb9d4PIOjpG6ojdXUW3lr/WHmrcnkYIn930NRYHpCOHePjmNCr5AO98VF0zS+2H6EB77dTZ7J3ip5xYBIXrmkH10DZAZ0Z2OxqazNLOX7tEJ+SC9gT+GxSUPnjuveWHdpUzVUTXO5pFYSozbiaokRwPT3NvBDeiFPT+nDPyZ2zG+kbWFrTjlj3lhDnVVlXPcgfr9jVKvUedSVF1K0azlFaauw1VUDoOgMBPYaYi/WjujRogukpmnUlR5pkghZ66qa7KNz88C3S5+GRKgvXiHRbd5SJZqqqbcS/cyvlNVaCPB0Y/awaO4aFevy38JPZW9hFfcs2smv+4sB6BnizeszE5ksI2RdxoHian5IL+CHtAIendiL83rY12r7dV8Rl/13E0O6BjAsJpDhMQEMiwlw+jX4JDFqI66YGL23IYvb/redwV382Xz/OEeH41JWHSphxgebeHF6ArNbeUFe1VpP6b6NFO5cRnVBRuN2r5AYwgaMJ6jPCPRuxhOep2ka5vKCxkTIlLsHa42pyT46NyM+kb0aEyHvsG4yz1A7sqka36cV8F1aAe/8aUBjovufVYcwGnRcP7gr3h10za+aeivP/XaAF5cfwGLTMBp0PHJBL/46vocsdNpBPPx9Gi8uP3jC9i7+HgyPCeDJSX2ccqFfSYzaiCsmRoWVZqKe/gVVg8xHJxAT6OXokFxKSXU9wd7HaoxUVWv1EUJVBRkU7fidkn0bG4fI6909CUkYTWj/8eh0BkxHa4Ry9mKpLmvyfEXvhm9UT3wbusa8w2LR6TvmhdeZldXU897GbOatySCzYeTPL7eP6DSLe36fVsC9i3Y2vvapfcP4z4xEenSwIvLOzqZqpBdUsiGrnA1ZZWzMKmdXvgm1IZPY/ZfziQ+3l218ti2XZQeKGR4TyLCYABLCfR026k0SozbiiokRwHkpa1iVUcprl/bj3oZZc0XLFVWZmfz2ep6bFs+Uvq3fJWCtraI4fTWFO5djrig85X6KzoBPZA98u/bFr2tfvMO7y7pkDrQrz8TrazL4ZEtu43wxgZ5u3DI8hnvHxHX4eprDpTXM/WYX3zQs59HV34N/z0hkRmJEh6ubEidXbbayJaeCTdnl3D+ue+OXx6Mjo4/yMeqbdMFN7RvWbi2Jkhi1EVdNjF5deZAHv03j/B7B/H7nKEeH47Ie+HY3r608hF6n8M6fkrhpaHSbnEfTVEyHd1O4cxnlGdtRdDq8w+MaEyGfyJ5OOSdSZ7Qpq5zh/1nVeH9ApB93j4nl2kFdOvzswvVWlZdXHOT/ft1HrUXFoFO4f1x3HruwNz4dtKtQtMyv+4r4dX8xG7PK2JxTTpX52ESTep1Cxf9Nafx/8sLvBzhcVoOnmx5PNz1e7no83XR4GvT4eRi4dvCxeeX2FlZRZ7Xh1bDv0f09DLpTJuP5xaVEhgbLkiB/lJ2dzQ033EBhYSEGg4HHHnuMP/3pT44Oq83NTIzkwW/TWHmohOJqMyHeJ9auiDP757R4iqvMfLw1l9kLU8mpqOXRCb1a/Vuxoujwj+2Pf2x/rHXVKDq9DKF3EiXV9ezMM3F+T3sh6pBof/pH+tI7xIe7x8Qyrntwp2gl+X1/MXcv2tk4cum87sG8cVl/GfkqmpjYO7SxK9mmaqQVVLKxoQuu0mxt8uVh8a48NmSVn/Q4AZ5uTRKjuxft5LeGwv4/8jUaqHh2auP9B77dzaKdeWTml5x0/5PpVImRwWDgtddeY+DAgRQWFjJ48GCmTZuGt3fH7gOPDfJiYJQfqUdMfLe7gJtbuZC4s3A36PjvNYPoEuDJC78f4PGf95JdXkvKzP5ttm6VwaNj/226iu1HKnh9dSafbs3B001P9mMT8XI3oCgKm+4bh7uhc4zyyzPV8dB3aXy2LReAMB93Xprej+sGd+kUCaE4e3qdQv9IP/pH+nHL8BOvQbeP6MbkPmHUWmzUWGzUWlTqGn73/EN3W4CHG+G+RmotNmotNiy2U3d8pRdUNs723VyduittwIAB/PDDD0RHN69LxFW70gCe/mUfT/6yl0v6hbP45mGODsflpazJ4N7Fu9A0uDg+nM+uH9xhRxp1VvVWlUW78khZk8nqjNLG7QOj/Pj8hmR6h3aeZVKsNpWUtZk8/vNeKs1WdArcOSqWZ6b0lfXNhMNZbSq1FpUaiw2z1dZkkNGmrHLMNhtRRpUeXcKadf12qq85K1euZPr06URFRaEoCosXLz5hn3nz5hEXF4eHhwfJycmsWrXqxAM1w+bNm1FVtdlJkaubkRgBwC97i6g2W8+wtziTOaPj+PLGIXgYdOwpqmqySKNwfUv2FhL33K9c8/FWVmeUYtApXJkUxco5o9hy/7hOlRStyyxl6L9Xcf83u6k0WxkWHcCG+8by+sz+khQJp2DQ6/D1MBDuazxh5PXQmADGxAUT4tP8EhKn+opbXV1NUlISN998M5dffvkJjy9cuJC5c+cyb948Ro8ezVtvvcXUqVNJS0sjJsbeNJecnIzZbD7hub/88gtRUVEAlJSUcOONN/Luu++27QtyIv0jfeke7MWhkhp+3lvI5QOiHB2Sy5vZP5Jf7xhJuI+R0Bb8pxPOR9M0quttjUXDPYK9yTOZifA1cvuIbtw+ohtR/p2rzqu42szfftjD+xvtiyIHerrx/EXx3DospsMsaivEyThtV5qiKCxatIgZM2Y0bhs+fDiDBw9m/vz5jdvi4+OZMWMGzz//fLOOazabufDCC7ntttu44YYbzrjv8UmWyWQiOjraJbvSAB76bjevrDjEdYO78NG1gx0dTof0wu8HiPQzckNyV6m5cAE19VY+23aElDUZ9Azx5osbhzQ+9vv+YsbEBXWa+qGjVFXj/U1Z/O2HdEpr7PNq3TQ0mhcuipcvAMJltaQUxqlajE6nvr6eLVu28Le//a3J9kmTJrF27dpmHUPTNG666SYuuOCCMyZFAM8//zxPPfXUWcXrjGYmRvLKikN8n1ZAvVXtdB/4bS29oJLHft6DVdX4YGM2KZf1J0FG6TilQyXVzF97mPc3ZlFWa7/4HyipxlRnwc/D3j10Qa8QR4boENtyK5jz9U7WH7ZPIto/0pd5lw1gdFyQgyMTov24zJWxuLgYm81GeHh4k+3h4eHk5+c36xhr1qxh4cKFLF68mIEDBzJw4EB27tx5yv0feeQRKioqGm/Z2dnn9BocbUS3QMJ9jVTUWVl+8ORDHcXZ6xHszdNT+uDppmPFoRIGvrKCR35Mp6ZearqcxapDJVzy3kZ6/fN3Xl5xkLJaC7GBnvzr4gQy/j6xMSnqbEpr6rnrqx0MfW0l6w+X4WPU8/IlCWyZO06SItHpuEyL0VF/7J7QNK3ZXRZjxoxBVdVmn8toNGI0dpymY71OYXpCOO9uyGLxrnwmyYKOrcrdoONvF/Ti6oFduG/xLr5LK+CF3w/w+bZc/jMjken9IhwdYqe3NbeC79PtMzRP7hPKnNFxTO0b5rBlChxNVTXe25jF339Mp6Sh2+zqgVG8OD3B6RcFFaKtuEyLUUhICHq9/oTWocLCwhNakVpbSkoKCQkJDB06tE3P0x5mNoxO+2Z3PqrqlOVlLi82yItvZg9j0U1DiQnw5HBZLdd9upXi6hMHBYi2syvPxJ1f7eDzhjl3AG4aEs3ccd3Z8/B4frptBBcnhHfapGhjVhkjX1/Nn7/cQUmNhX7hvvx+x0g+vT5ZkiLRqblMi5G7uzvJycksXbqUmTNnNm5funQpl156aZuee86cOcyZM6exeMuVXdArBF+jgTyTmY3Z5YzoFujokDqsSxMjmNgrhGd+3U+Un7HJjOM2Veu0F+S2VFpTz3e7C/jv5myWH7TPdLs5u5yrBtqnAPH3dOOVS/o5OErHKqoy8/ef7KPNNA38PAw8OakPc0bH4tZGE5UK4UqcKjGqqqriwIEDjfczMjJITU0lKCiImJgYHnjgAW644QaGDBnCyJEjefvtt8nKyuKOO+5wYNSuxWjQc1F8GJ+nHmHRzjxJjNqYt9HAPy+Kb7Lt131F3P/NblIu68+4HsEOiqxjWbApm8+25bDsQAnWhpZQvU5hRr8I5oyOdWxwTsKmary17jCP/bynseD8xuSu/POieCL8OtdUBEKcjlMlRps3b2b8+PGN9x944AEAZs2axYIFC7jqqqsoKSnh6aefJi8vj8TERH788Ue6devWpnGlpKSQkpKCzdYxJvGbkRjJ56lHWLwrn39eFC/DytvZ00v3sbugkvPnr+WmIdG8cLEMg26pgkoz4b7H3rPFu/JYus8+oKB/pC+X94/i5mHRRHfwle2ba21mKXd/vZPUIybAPnv36zP7S2G1ECfhtPMYOSNXXhLkeJV1VkKfWEK9TWXXQ+fLkPJ2VlpTzyM/pvPO+mMT5/3zonhukYnzTiujpIavdubx9c481h8u48AjF9A92L6W3E/pBWzPM3F5/0h6daJZqc8k31TH335I58MtOYB9Mc7/m9KXP4/sJl25olNpyfVbEqMW6CiJEcDF727gxz2FPDOlD49O7O3ocDql9YfLuPOrHWxv+BY/olsgb14+gAFRrv231ZrSCyr5amcei3bmsS3X1LhdUWDB1QO5IblzLOnTUhabSsqaTJ78ZS+mOvt0EbOHxfD8tL7SOik6pQ45waNoXTP6R/DjnkIW78qXxMhBRnQLZNN9YxsX51x/uIy9RVWSGDX4Mb2Ai9/b2Hhfp8D5PUK4rH8kM/tHECl1MSe14mAx9yzaxa78SgCGdPXnjcv6MyxG6gmFaA5JjJqho9UYAVySEMEdyg625FSQVVZzwsJ7on0Y9DruG9udKwZE8uHmHK4YENn4WHZ5LV39PTp8DVi12cqWnAp+SC8gNsiLO0fFAnBe92D8PQyMig3isv6RXJoY3mRkn2gqt6KWv36fzmcN0xMEe7nx3LR4Zg+LkW4zIVpAutJaoCN1pQGcl7KGVRmlPDGpN09M6uPocMRxSmvq6fvCMroHeXFRQjiTeocyJDqgQ1zgNmeXszGrnM055WzOLietoJKjU2r1j/Rl+4PnN+5bZ7Hh4aZ3TKAuot6q8u9Vh3jm131UmW0oCvx5RDf+b2pfgrzcHR2eEE5ButJEs9w5KpZVGaX8a9kBbh4aLa1GTmRNRimmOisbs8vZmF3OE0v2EuDpxsReIVzYO5SL4sOdfrV3q00lvbCK3Io6pvQ9Nsv6lR9uJrOstsm+UX4ejO1ubxk6fjZ7SYpOb+m+Iu5dtJO9RdUAjOwWyOszExncNcCxgQnhwqTFqAU6WouRpmmMn7+WlYdKubx/JP+bNeTMTxLtJreilh/TC1m6r4hf9xdT3jD3DMA7f0riluExAJjqLCgo+Ho47nuOqmocKKlmU7a9FWhzdjnbck3UWGwEerpR/PTkxmTn9v9tJ7u8liHRAQyNDmBI1wCnT/KcTVZZDQ9+m8ZXO/MACPNx54WLErghuauMbBTiJGRUWis7vsZo3759HSYxAtiZZ2LwqyuxqRpLbh/Bhb1DHR2SOAmbqrE5u5xf9hWxdF8RH187qLGF7z+rDvHQd2mM7BbIhX1CGd8jhAhfI75GA74eBjwMurOqU9I0jYo6K0VVZoqq6ymurqeoqp6iajPF1fX8c1o8hoaZki99fyPfpRWccAwfo57kLgEsunkoAZ6dc4HW1mS22nhp+UGe+20/tRYVvU5hzuhYnpzUR95fIU5DEqM20tFajI6a+80u/rMqg75hPqQ+cB7uBlkWwJXc+sV23t+YdcrH85+YRFjDZIjP/baf79MK8DXq7YmT0YCvhxuaplFcXc+H1wxqXBbihk+38snW3GYd95Ef0/n3ykMM6uJPcnQAQ6P9GdI1gD6hPtKC0Up+TC9g7je7OVBs7zYb1z2I/8zoL6MYhWgGqTESLfLkpD58vi2XPYVV/Gd1Bg+d38PRIYkWePfKJP4+oSdLG1qTNmSVU15robrePory+C62vYVVrD9cdspjvXpJv8blIQIbCnd9jHpCvY2EersT6uNOiLc7Id7GJoXgf7+gF09P7iNrbbUyq03lm935/GdVBqsySgGI9DPy4sUJXDOoS4cfsSiEI0iLUQt01BYjsK81NXthKj5GPXv+eoHUfHQANlWjut6Kr9HQeAHdccTEodJqKs1WTHVWKs32G0Cot5Gbh0bj39AlU1lnxU2vSAG0A5TW1PPuhizmrckkq9xeqG7QKdw3tjuPX9jbofVkQrgi6UprIx05MVJVjTEpa1h/uIzrBnfho2sHOzokITqd3fmV/Gf1IT7ekkOtRQUgxNud20d0485R3ejiL2u/CXE2pCutlXXECR7/SKdTeH1mIsP+vYpPtuZy2/BusvK7EO1AVTV+SC/g9dUZ/Lq/uHF7UpQf946J4+pBXfCUVjsh2o20GLVAR24xOuqOL3fw9vrD9I/0ZcvccY2jjoQQrctUZ+GDTdm8sTqDgyU1gH3ZkxmJEdwzJo5x3YOlhkiIViItRuKsPTu1L1/uOMLOvErmrzvMPWPiHB2SEB3K/qIqXl+TyYJNWVSZ7a3QAZ5u3Do8hrtGxRIbJBOtCuFIkhiJJoK93Xl2al/u/Gonj/+8h6uSohqHZAshzo6maSzdV8R/VmXw457Cxu3xYT7cMyaOG5K74m2Uj2MhnIH8TxQnuHV4N95Zn8XW3Aoe+Smd964c6OiQhHBJ1WYrH27J4Y3VGaQXVjVuvyg+jHvHdmdirxDpLhPCyUhiJE6gbyjEHv3GGj7YmM3tw7sxvFugo8MSwmVkltbwxpoM3t+Y3biUi6/RwE1Do7l7dCy9Qn0cHKEQ4lQkMWqGzjAq7Y9GxgZx05BoFmzO5u5FO1l/79gOsbK7EG1F0zRWHCzh9dUZfLM7H7VhWEvPEG/uHh3LTUOj8fOQZTuEcHYyKq0FOsOotOMVVJrp88LvmOqsvHXFAG4b0c3RIQnhdGotNj7dmsvrqzPYkWdq3H5h7xDuHdOdqX3DZFkUIRxMRqWJVhHua+SpyX24/5vd/P3HdC4fEElQwzIRQnRWVWYrqUcq2JpTwbbcCr5PK6Ckxt5d5uWm54YhXblndBwJEb4OjlQIcTYkMRKnNWdULO9tyGJXfiX/+GkP8y4f4OiQhGg3ZTX1bMs1sTXXngRtzSlnX3E1f2xnjwnwZM7oWG4dHtO4xpwQwjVJYiROy6DX8frMRMbPX8db6w9z6/AYBncNcHRYQrS6wkozW3Mr7ElQjv1nRmnNSfft4u/B4C7+DOriz/CYAC7sHSqToQrRQUhiJM7ovB4hXDOoC59ty+WeRbtYNWe01EwIl6VpGrkVdfYkqKE7bGtuBbkVdSfdPy7Iy54EdfVvTIbCZW4vITosSYxEs/zr4ni+3Z3PusNlfLw1hxuHRDs6JCHOSNM0Mkpr2NrQArStIRkqqq4/YV9Fgd4h3gzuGsCgLkeTID/pGhOik5HEqBk643D9P+ri78ljF/bmbz+k8/AP6VzaLwJ/Txl6LOxsqkaV2UpFnQVTnRWT2UpFrQWT2YqpzkpFnRVTnf1+nUVFw16ko2lwtFznaN2Ohnashuck2zTsCc9xD//hOPbfChq6xirqrCfEq9cpJIT7NLYADe7qT1KkP74e8pEoRGcnw/VboLMN1/+jeqvKgJeXs6+omrnjuvPKJf0cHZJoBRabSnF1PWU1RxMZS0Mi84dEp85C5Sm2H13zyxm563X0j/RtbAUa3NWf/pF+smK9EJ2IDNcXbcLdoOM/MxKZ8s4GXl+dweyh0SRGdr4E0dlZGxKdwqp6iqrNFFXVU1hlpqja/rO4qr7x96KqesoaZmZuDe56Hf4eBvwabv4ebvbfjQb8Gn73MOhRFHvXFcDRarWjS2MoHP9Ywzbl5Ps1PnaS/f2MBgZ18Sch3Bd3gxRGCyGaRxIj0SKT+oQxMzGCRbvyuXfxLn67Y6Ss9dTGrDaVkhpLYyJzNMkpqjJTWFVPcbX9Z1HD9tKalic6OsW+wvvxiUzj7x7HkprGpMfodlwCdOx3o0FaYYQQrk0SI9Fir1zSj5/2FLL8YAlfbD/CVQO7ODqkDkFVNQ6WVLMt10TqkQpScyvYnmciz2Ru8bEUBUK83An1cSfMx0iotzshPkbCfNwJ9W74efQxH3cCPd1lyRchhEASI3EWugV58ciEXjyxZC8PfZfGRfHh+BjlT6klzFYbu/Mr2ZZrYltuBduP2JOgU9XqKAoEebo1JjJhPkZCvI8lNseSHfvPIC9JdIQQ4mzI1Uyclb+c34P/bs7mUEkNz/62n+enxTs6JKdVXmshNbeC1COmxp9pBZVY1RPHPXgYdPSP9CMpyo9BXfwZGOVHj2BvgrzcZAJBIYRoB5IYibPi4abn1Uv6cekHm3hlxUFuHhpN71AfR4flUJqmkVNRR2puBdtyTWw/Yp83J7Os9qT7B3q62ZOfLn4MjLIPG+8T6i0JkBBCOJAkRuKsXZwQzrS+Yfy4p5D7Fu/ix1uHd5pCbJuqsbewitQjFU1qgkpOUfjcLdCTQV38m7QERQd4dpr3SwghXIUkRuKsKYrCq5f249f9xSzZW8Q3u/OZkRjp6LDaVGZpDf9ZncEHG7NOO3HgwKhjLUEDo2T2ZCGEcBWSGIlz0ivUhwfP787zvx3g/m92M7lPWIebOE/TNNZmlvHaykMs2pXH0dIgb3c9SVF+jUnQoC7+9Av3xaODvX4hhOhMJDFqBlkS5PT+fkEvPt6Sw+GyWl74/QBPTu7j6JBahcWm8uWOPF5beYhN2eWN2yf1DmXuuO5M6h0qi+kKIUQHI0uCtEBnXxLkdL7cfoQrP9qC0aBj91/Op3uwt6NDOmtlNfW8vT6LlDUZ5DSsuG406Lg+uStzx3anX4SvgyMUQgjRErIkiGh3lw+IZEKvEH7bX8yD3+5m0c3DHB1Si+0rquLfqzL476Zsaiz21sFwXyN3jYrljpHdCPUxOjhCIYQQbU0SI9EqFEXh35cmMvCVFXyzu4Cf0guYGh/u6LDOSNM0lh0o4bWVh/hhT0HjCu4DIv2YO6471wyKkmUuhBCiE5HESLSahAhf7h0bxysrDjH3m91c0CvEaZMKs9XGZ9uO8O9Vh9h+xNS4/eL4cOaO6874nsEylF4IITohSYxEq3r8wt58ujWX/cXVvLLiEI9M6OXokJooqjLz5rrDzFubSUGlfQ0yLzc9s4ZGc9/YuE4/SaUQQnR2khiJVuXn4ca/Lk7gxs+28eyv+7k+uSvRAZ6ODovd+ZW8tuoQH2/JwWxVAeji78Hdo+O4bUQMQTLPkBBCCCQxEm3gusFdeHv9YVZnlPKX79L4/IZkh8ShaRpL9hbx2spD/LKvqHH70OgA5o7rzhUDInGT5TeEEEIcRxIj0eoUReH1mYkkv7qSL7Yf4fYR3bigV0i7nb/WYuOjLTn8e+Uh0gurANApMDMxkrnjujMqNlDqh4QQQpzUOSVGtbW1eHo6vptEOJ+kKH/uHBVLyppM7l28k20PnNeqrTOaplFea6G4up7i6nqKGn7uKazig41ZjWuW+RoNzB4Wzb1juhMX7NVq5xdCCNExnVNi5OPjQ48ePejXrx+JiYmNtz59+mAwSGNUZ/f05D4sTD1CWkEVb6zJ4P5xPU65r9lqo6iq/oREp6jK3Ljt+MdKquuxqqeemzQ20JN7xsZxy7AY/Dzc2uLlCSGE6IDOKXu55ZZb2LJlC8nJyQQHB7NixQpSUlLYt28foaGh7Ny5s7XiFC4o0Mud56fFc9v/tvPkkn3UWlRKGpKaoiaJjpkq89ktt+JrNBDi7U6Itzuh3u6E+Ri5KCGMGYmR6GW5DiGEEC10zkuCZGZm8swzz3DkyBEef/xxRo4cCUBeXh6RkR1rpXVZEqTlVFVj5Ourm6w1dioGndKY5BxNdIK93Qn1MTbZFuLtTqiPO8Fe7rJgqxBCiDNqyfW71dZKO3DgAM888wylpaW8+OKL9O3btzUO26oqKyu54IILsFgs2Gw27r33Xm677bZmP18So7Ozt7CKp37Zi4dB35DouJ8k0THi72GQomghhBCtrt3WStu/fz979+5l7969pKenk5WVhclkYufOnU6ZGHl5ebFixQq8vLyoqakhMTGRyy67jODgYEeH1qH1CfPh0+sdM2RfCCGEaIlzSoz69OnDgAEDuPLKK7n33nuJj4/Hzc15C131ej1eXvaRSXV1ddhsNlqpwUwIIYQQHcA5jZ9+8cUXGTx4MIsXL2bixImMGjWKm2++mZdffpklS5a0+HgrV65k+vTpREVFoSgKixcvPmGfefPmERcXh4eHB8nJyaxatapF5ygvLycpKYmuXbvy17/+lZCQ9ptfRwghhBDO7ZxajB588MEm9w8dOsSuXbvYtWsXH330EZMnT27R8aqrq0lKSuLmm2/m8ssvP+HxhQsXMnfuXObNm8fo0aN56623mDp1KmlpacTExACQnJyM2Ww+4bm//PILUVFRBAQEsH37dgoKCrjsssu44oorCA93/lXghRBCCNH2Wq34urUpisKiRYuYMWNG47bhw4czePBg5s+f37gtPj6eGTNm8Pzzz7f4HHfeeScXXHABf/rTn076uNlsbpJkmUwmoqOjpfhaCCGEcCEtKb4+p640k8nE7NmzCQsLw8PDg4SEBP7xj39gMpnO5bAnVV9fz5YtW5g0aVKT7ZMmTWLt2rXNOkZBQUFjbCaTiZUrV9KnT59T7v/888/j7+/feIuOjj77FyCEEEIIp3dOidHf/vY3goKC2Lt3L+Xl5Xz55ZfU1dUxcuRICgsLWytGAIqLi7HZbCd0e4WHh5Ofn9+sY+Tk5DBu3DiSkpIYM2YMd999NwMGDDjl/o888ggVFRWNt+zs7HN6DUIIIYRwbudUY7Ru3Tq2bt3aOPdMQkICL730EoMHD+bJJ59k3rx5rRLk8f44z42mac2e+yY5OZnU1NRmn8toNGI0GklJSSElJQWb7exmZxZCCCGEazinFiNFUU6alFx77bVs3LjxXA59gpCQEPR6/QmtQ4WFhW1ePD1nzhzS0tLYtGlTm55HCCGEEI7V7MTo4Ycfpq6ursm2oqIivvrqK/bs2XNCa0prz2Ds7u5OcnIyS5cubbJ96dKljBo1qlXPJYQQQojOqdmJ0auvvkpFRQUAs2bNorq6mvvvv58ffviBG2+8kbCwMJKSkrj22mt59tlnKSoqanEwVVVVpKamNnZ3ZWRkkJqaSlZWFgAPPPAA7777Lu+//z7p6encf//9ZGVlcccdd7T4XEIIIYQQf9Ts4fpxcXHMnz+fKVOmoNfrycvLIywsrMk+x89jtHv3bj755JMWBbN8+XLGjx9/wvZZs2axYMECwD7B47/+9S/y8vJITEzk1VdfZdy4cS06T0sdX2O0b98+Ga4vhBBCuJA2WUQ2JSWF+++/nyFDhrBhwwZeeuklRo8eTf/+/fH09GyVwJ2dLCIrhBBCuJ42SYwAdu/ezTfffMM//vEPunfvTmZmJoqi0LNnT5KSkhg4cCADBw5kypQp5/winJEkRkIIIYTrabPE6KiePXuyfv16vL292bFjR2NdUGpqKrt27aKysvKsg3dG0pUmhBBCuK42T4xOpyXzCrkaaTESQgghXE+7LQlyMh01KRJCCCFEx9fqiZEQQgghhKuSxKgZUlJSSEhIYOjQoY4ORQghhBBtqNVrjDoyqTESQgghXI9Da4yEEEIIIVyVJEZCCCGEEA0kMRJCCCGEaCCJUTNI8bUQQgjROUjxdQtI8bUQQgjheqT4WgghhBDiLEhiJIQQQgjRQBIjIYQQQogGkhgJIYQQQjSQxKgZZFSaEEII0TnIqLQWkFFpQgghhOuRUWlCCCGEEGdBEiMhhBBCiAaSGAkhhBBCNJDESAghhBCigSRGQgghhBANJDESQgghhGggiVEzyDxGQgghROcg8xi1gMxjJIQQQrgemcdICCGEEOIsSGIkhBBCCNFAEiMhhBBCiAaSGAkhhBBCNJDESAghhBCigSRGQgghhBANJDESQgghhGggiZEQQgghRANJjIQQQgghGkhi1AyyJIgQQgjROciSIC0gS4IIIYQQrkeWBBFCCCGEOAuSGAkhhBBCNJDESAghhBCigSRGQgghhBANJDESQgghhGggiZEQQgghRANJjIQQQgghGkhiJIQQQgjRQBIjIYQQQogGkhgJIYQQQjSQxEgIIYQQokGnTIxqamro1q0bDz30kKNDEUIIIYQT6ZSJ0bPPPsvw4cMdHYYQQgghnEynS4z279/Pnj17mDZtmqNDEUIIIYSTcarEaOXKlUyfPp2oqCgURWHx4sUn7DNv3jzi4uLw8PAgOTmZVatWtegcDz30EM8//3wrRSyEEEKIjsTg6ACOV11dTVJSEjfffDOXX375CY8vXLiQuXPnMm/ePEaPHs1bb73F1KlTSUtLIyYmBoDk5GTMZvMJz/3ll1/YtGkTvXv3pnfv3qxdu/aM8ZjN5ibHMplM5/DqhBBCCOHsFE3TNEcHcTKKorBo0SJmzJjRuG348OEMHjyY+fPnN26Lj49nxowZzWoFeuSRR/j444/R6/VUVVVhsVh48MEHefzxx0+6/5NPPslTTz11wvaKigr8/Pxa/qKEEEII0e5MJhP+/v7Nun67TGJUX1+Pl5cX//vf/5g5c2bjfvfddx+pqamsWLGiRcdfsGABu3bt4qWXXjrlPidrMYqOjpbESAghhHAhLUmMnKor7XSKi4ux2WyEh4c32R4eHk5+fn6bnNNoNGI0Gtvk2EIIIYRwPi6TGB2lKEqT+5qmnbCtOW666aZm75uSkkJKSgo2m63F5xFCCCGE63CqUWmnExISgl6vP6F1qLCw8IRWpNY2Z84c0tLS2LRpU5ueRwghhBCO5TKJkbu7O8nJySxdurTJ9qVLlzJq1CgHRSWEEEKIjsSputKqqqo4cOBA4/2MjAxSU1MJCgoiJiaGBx54gBtuuIEhQ4YwcuRI3n77bbKysrjjjjvaNC7pShNCCCE6B6calbZ8+XLGjx9/wvZZs2axYMECwD7B47/+9S/y8vJITEzk1VdfZdy4ce0SX0uq2oUQQgjhHDrEcH1nJImREEII4Xpacv12mRojIYQQQoi2JolRM6SkpJCQkMDQoUMdHYoQQggh2pB0pbWAdKUJIYQQrke60oQQQgghzoIkRkIIIYQQDSQxagapMRJCCCE6B6kxagGpMRJCCCFcj9QYCSGEEEKcBUmMhBBCCCEaSGIkhBBCCNFAEqNmkOJrIYQQonOQ4usWkOJrIYQQwvVI8bUQQgghxFmQxEgIIYQQooEkRkIIIYQQDSQxEkIIIYRoIIlRM8ioNCGEEKJzkFFpLSCj0oQQQgjXI6PShBBCCCHOgiRGQgghhBANJDESQgghhGggiZEQQgghRANJjIQQQgghGkhi1AwyXF8IIYToHGS4fgvIcH0hhBDC9chwfSGEEEKIsyCJkRBCCCFEA0mMhBBCCCEaSGIkhBBCCNFAEiMhhBBCiAaSGAkhhBBCNJDESAghhBCigSRGQgghhBANJDESQgghhGhgcHQAriAlJYWUlBRsNluz9rfZbFgsljaOSrgqNzc39Hq9o8MQQghxErIkSAucaUpxTdPIz8+nvLy8/YMTLiUgIICIiAgURXF0KEII0eG1ZEkQaTFqRUeTorCwMLy8vOSiJ06gaRo1NTUUFhYCEBkZ6eCIhBBCHE8So1Zis9kak6Lg4GBHhyOcmKenJwCFhYWEhYVJt5oQQjgRKb5uJUdriry8vBwciXAFR/9OpBZNCCGciyRGrUy6z0RzyN+JEEI4J0mMhBBCCCEaSGIkhBBCCNFAEiMhhBBCiAaSGAmXMG/ePOLi4vDw8CA5OZlVq1ad8TkrV65k+vTpREVFoSgKixcvbta5xo0bh6IoKIqCu7s78fHxfPrpp+f4CoQQQrgCSYzEKVmtVkeHAMDChQuZO3cujz76KNu2bWPs2LFMnTqVrKys0z6vurqapKQk3njjjWafS9M0UlNTeemll8jLy2Pv3r1MmTKFG2+8kYyMjHN9KUIIIZycJEZtSNM0qs3Wdr+dzWTmmZmZKIrCl19+ybhx4zAajSxatKgN3pWWe+WVV7jlllu49dZbiY+P57XXXiM6Opr58+ef9nlTp07l//7v/7jsssuafa79+/dTWVnJlClTiIiIIC4ujltuuQWbzcbevXvP9aUIIYRwcjLBYxuqqbfh++hP7X7eymen4m1s2T9tamoqAC+88ALPPfcccXFxhIaGnlMczz33HM8999xp9/npp58YO3bsKR+vr69ny5Yt/O1vf2uyfdKkSaxdu/ac4juZLVu2EBgYSEJCAgA5OTk8+uijGI1G+vfv3+rnE0II4Vw6XWJkMBhITEwEYMiQIbz77rsOjsg5bN++HW9vb/73v/8RGxsLwEsvvcQHH3yAoij87W9/4/rrrwfg+++/58EHH0RVVR5++GFuvfXWkx7zjjvu4Morrzztebt06XLax4uLi7HZbISHhzfZHh4eTn5+fjNfXfNt3bqViooKfH19UVWV2tpaPD09efPNN88YqxBCCNfX6RKjgICAxtaRtublrqfy2antcq4/nrelUlNTueSSSxqTop07d/Lpp5+yZcsW/r+9uw9q6kr/AP69EAMWhBVQFDGUFqkEECRQJRZWdEFwlXF1W+1Uka4o7MowLqWW1m7lZy1uGdS2U2Jrd9a2a3XcdhY749Ba1mJxmnWtwTCKlkKFUV6UigZ8AUS4vz+MWSMvgiQkge9n5s5wT84997k5GfLMuefcAMD8+fOxaNEiODs7IzMzEyUlJXBxcUFYWBiWLl0KNze3Hm26ubn1Wv4oHnwgoiiKZnlIokajwfr165GRkQGdToesrCxERkYiOTnZ5OciIiLrwzlGZiQIApwcJMO+PUrCUF5ejrlz5xr2z507B6VSCUdHRzg6OiI0NBRff/01Tpw4gcDAQEyZMgXjxo3DwoULcfjw4V7bzM3NhbOzc7/bw1aXeXh4wN7evsfoUFNTU49RJFM4deoUlEol/Pz8EB4eDpVKhby8vB4Tr2/duoWXX34ZSqUSSqUSa9euRXNzs8njISKi4WVVidFAllc/yrLt+7W2tkKhUOCZZ57Bd999Z6LIbVtraytqa2sxc+ZMQ1lQUBBKSkqg0+mg0+nw7bffor6+Hg0NDUa3lLy9vVFfX99ru2lpadBqtf1u4eHh/cYmlUqhUChQXFxsVF5cXAylUjmEq+7p/Pnz0Ol0hlutACCXy+Hn54f9+/cb1U1PT0dISAjUajXUajVWrFiBpKSkR5r4TkRE1sOqbqXdW1794osvYtmyZT1ev7dsW6VSYc6cOfjwww+RkJCAs2fPQiaTAQAUCgU6Ojp6HPvNN9/Ay8sLtbW18PLywpkzZ/Db3/4Wp0+fhouLi9mvzZqVl5fDzs7OaHKxXC5HRkYG5s2bB1dXV0REREAikfT6xd/XCJWpbqVlZmZi1apVCA8PR2RkJHbv3o0LFy4gLS3NUOf9999HYWEhjhw5Yii7ceMGqqurDfs1NTXQarVwc3MzfF7up9FoIJFI4O/vb1QeGxuLwsJCvPbaawCAtrY2XLt2DStXrkROTg4AICcnB19++SWqq6sxbdq0IV8zERFZhlUlRgkJCUhI6HtOzv3LtgHgnXfeweHDh7Fr1y5s27YNAAxzYvri5eUF4O6IiFwux08//dTnqEVHR4dRktXa2jqo67EV5eXlmD59OhwdHY3KU1NTkZqaCgBISUmBn58fxo8fbzRCVFdXh1mzZpk1vuXLl6O5uRlbtmxBY2MjgoKCUFRUBB8fH0OdK1eu4OeffzY67uTJk4iJiTHsZ2ZmAgBWr16Njz/+uMd5ysrK4O/vD6lUalQeGxsLlUqFuro6eHt7GyWH6enpprhEIiKyFqKVAiAWFhYa9js6OkR7e3vxX//6l1G9jIwMMTo6ekBtXr16VWxvbxdFURQvXrwoymQysbm5uc/6mzdvFgH02FpaWnrUbWtrE8+ePSu2tbUNKBZbcPnyZVEURfHHH38Ug4ODxc7OTrGzs1P08/MT6+rqxNbWVtHPz0+8cuWKhSMdfqtXrxb37t1r2P/3v/8txsfHi93d3QM6fiR+XoiIrFVLS0uf398PsqoRo/6YYtn2uXPnkJqaCjs7OwiCgHfffbffWz2vvvqqYZQBuDtiNHXq1Ee7ABu0ZMkS6HQ6ODk5Yc+ePZBI7n5ctm/fjpiYGHR3d2Pjxo1wd3e3cKTDT6VS4fXXX8d7770HQRAQEBCAvXv3mmWlHBERDR+bSYzuGcqybaVSidOnTw/4XA4ODnBwcBhUfCNJXw9QTExMRGJi4jBHY10ee+wx7Nixw9JhEBGRiVnVqrT+DPey7fsVFBRALpcjIiLCrOchIiIiy7KZxGg4l20/aP369Th79ix++OEHs56HiIiILMuqbqU9bHn1QJZtExERET0qq0qMHra8eiDLts2hoKAABQUF6OrqMut5iIiIyLIEUeSjegeqtbUVrq6uaGlp6fFQyPb2dtTU1Bieyk3UH35eiIiGT3/f3w+ymTlGRERERObGxGgAuCqNiIhodGBiNABclUZERDQ6MDEiIiIi0mNiRERERKTHxGgAOMfIsnJyciAIgtE2adKkHvVUKpVhlZdCocCxY8cG1H50dLShXalUioCAAOzbt8/Ul0FERDaAidEAjNY5Rnfu3LF0CAaBgYFobGw0bA/+5t2BAwewYcMGbNq0CadOnUJUVBQSEhJw4cKFftsVRRFarRb5+flobGxEZWUl4uPjkZSUhJqaGnNeEhERWSEmRmYkiiK6OjuGfXuUR1PV1tZCEAR88cUXiI6OhoODAwoLC83wrjwaiUSCSZMmGbYJEyYYvb5jxw6sWbMGKSkpCAgIwDvvvIOpU6di165d/bZbVVWF69evIz4+HpMmTYKvry/WrFmDrq4uVFZWmvOSiIjIClnVk69Hmu47t1G264/Dft6wP+6C/RiHQR2j1WoBAG+//TZyc3Ph6+vbI/kYrNzcXOTm5vZb56uvvkJUVNRD26qqqoKXlxccHBwwa9Ys5Obm4oknngAA3L59GxqNBtnZ2UbHxMXFQa1W99uuRqPB+PHjIZfLAQB1dXXYtGkTHBwcEBwc/NC4iIhoZGFiRACA8vJyODk54fPPP8fjjz8OAMjPz8eePXsgCAKys7OxcuVKAMChQ4fw0ksvobu7G6+88gpSUlJ6bTMtLQ3PPfdcv+edMmXKQ2ObNWsWPv30U/j7++Py5cvYunUrlEolKioq4O7ujitXrqCrqwuenp5Gx3l6euLSpUv9tl1WVoaWlhaMGzcO3d3daGtrw9ixY/HBBx8MKDYiIhpZmBgNwKP+VpqdRIqwP/Z/K8cc7CTSQR+j1WqRmJhoSIpOnz6Nffv2QaPRAADmz5+PRYsWwdnZGZmZmSgpKYGLiwvCwsKwdOlSuLm59WjTzc2t1/LBSkhIMPwdHByMyMhIPPnkk/jkk08Mv6cHAIIgGB0nimKPsgdpNBqsX78eGRkZ0Ol0yMrKQmRkJJKTk4ccNxER2R7OMRqAR518LQgC7Mc4DPv2sGSgN+Xl5Zg7d65h/9y5c1AqlXB0dISjoyNCQ0Px9ddf48SJEwgMDMSUKVMwbtw4LFy4EIcPH+61zdzcXDg7O/e7DXTl2P2cnJwQHByMqqoqAICHhwfs7e17jA41NTX1GEV60KlTp6BUKuHn54fw8HCoVCrk5eUZTby+desWXn75ZSiVSiiVSqxduxbNzc2DjpuIiKwfEyNCa2sramtrMXPmTENZUFAQSkpKoNPpoNPp8O2336K+vh4NDQ1Gt5i8vb1RX1/fa7tpaWnQarX9buHh4YOOt6OjA+fOncPkyZMBAFKpFAqFAsXFxUb1iouLoVQq+2zn/Pnz0Ol0CAoKMpTJ5XL4+flh//79hrL09HSEhIRArVZDrVZjxYoVSEpKeqRJ7kREZN14K41QXl4OOzs7o8nGcrkcGRkZmDdvHlxdXREREQGJRNJrMtDXCJWpbqVlZWVh8eLFkMlkaGpqwtatW9Ha2orVq1cb6mRmZmLVqlUIDw9HZGQkdu/ejQsXLiAtLa3PdjUaDSQSCfz9/Y3KY2NjUVhYiNdeew1tbW24du0aVq5ciZycHAB3n6v05Zdforq6GtOmTRvy9RERkfVgYkQoLy/H9OnT4ejoaFSempqK1NRUAEBKSgr8/Pwwfvx4oxGiuro6zJo1y6zx1dXV4fnnn8eVK1cwYcIEzJ49G8ePH4ePj4+hzvLly9Hc3IwtW7agsbERQUFBKCoqMqrzoLKyMvj7+0MqNZ6TFRsbC5VKhbq6OqPELj093fQXR0REVkUQeT9gwFpbW+Hq6oqWlha4uLgYvdbe3o6amhrDk5dHgqamJkycOBGVlZV49tlnUVZWBgAICAjA0aNHDZOvjx8/Dnd3dwtHaz7JycmIjY3FCy+8AAA4cuQI8vPzUVRU9EjzuYCR+XkhIrJW/X1/P4gjRgPwqKvSbN2SJUug0+ng5OSEPXv2QCK5+3HZvn07YmJi0N3djY0bN47opAi4+1Mjr7/+Ot577z0IgoCAgADs3bv3kZMiIiKyXhwxGoTRNmJE5sPPCxHR8BnMiBFXpRERERHpMTEiIiIi0mNiRERERKTHxIiIiIhIj4kRERERkR4TIyIiIiI9JkYDUFBQALlcjoiICEuHQkRERGbExGgA1q9fj7Nnz+KHH36wdChERERkRkyMiIiIiPSYGJHVKy0txeLFi+Hl5QVBEHDw4MFe66lUKsOTpBUKBY4dO/ZIdR4UHR0NQRAgCAKkUikCAgKwb9++oV4WERFZISZG1Kc7d+5YOgQAwM2bNxESEoL333+/zzoHDhzAhg0bsGnTJpw6dQpRUVFISEjAhQsXBlXnQaIoQqvVIj8/H42NjaisrER8fDySkpJQU1Nj0uskIiLLY2JEAIDa2loIgoAvvvgC0dHRcHBwQGFhoaXDAgAkJCRg69atWLp0aZ91duzYgTVr1iAlJQUBAQF45513MHXqVOzatWtQdR5UVVWF69evIz4+HpMmTYKvry/WrFmDrq4uVFZWmvQ6iYjI8pgYmZEoihDvdA//9gi/C6zVagEAb7/9Nv7yl7+goqICcXFxQ7r+3NxcODs797sN5FbWw9y+fRsajaZHvHFxcVCr1QOu0xuNRoPx48dDLpcDAOrq6rBp0yY4ODggODh4yLETEZF1kVg6gBGtS0TXocZhP639osmARBjUMeXl5XBycsLnn3+Oxx9/HACQn5+PPXv2QBAEZGdnY+XKlQCAQ4cO4aWXXkJ3dzdeeeUVpKSk9NpmWloannvuuX7PO2XKlEHF2ZsrV66gq6sLnp6eRuWenp64dOnSgOv0pqysDC0tLRg3bhy6u7vR1taGsWPH4oMPPjBJ7EREZF2YGBGAuyNGiYmJhqTo9OnT2LdvHzQaDQBg/vz5WLRoEZydnZGZmYmSkhK4uLggLCwMS5cuhZubW4823dzcei03F0EwTgZFUexRNpA699NoNFi/fj0yMjKg0+mQlZWFyMhIJCcnmyxuIiKyHkyMzMleuDt6Y4HzDlZ5eTmys7MN++fOnYNSqYSjoyMAIDQ0FF9//TVkMhkCAwMNoyULFy7E4cOH8fzzz/doMzc3F7m5uf2e96uvvkJUVNSg472fh4cH7O3te4z8NDU1GUaIBlKnN6dOncK6devg5+cH4O6qtuDgYKxbtw6+vr6Gerdu3cLmzZvx/fffAwACAwPx17/+Fe7u7kO6NiIiGl6cY2RGgiBAkNgN/9bPCEhvWltbUVtbi5kzZxrKgoKCUFJSAp1OB51Oh2+//Rb19fVoaGgwuoXk7e2N+vr6XttNS0uDVqvtdwsPD3+0N/c+UqkUCoUCxcXFRuXFxcVQKpUDrvOg8+fPQ6fTISgoyFAml8vh5+eH/fv3G9VNT09HSEgI1Go11Go1VqxYgaSkpEea70VERJbDEaMBKCgoQEFBAbq6uiwdilmUl5fDzs7OaDKxXC5HRkYG5s2bB1dXV0REREAikfT6Rd9XImaqW2k3btxAdXW1Yb+mpgZarRZubm6QyWQAgMzMTKxatQrh4eGIjIzE7t27ceHCBaSlpRmOG0id+2k0GkgkEvj7+xuVx8bGorCwEK+99hoAoK2tDdeuXcPKlSuRk5MDAMjJycGXX36J6upqTJs2bcjvARERDQ8mRgOwfv16rF+/Hq2trXB1dbV0OCZXXl6O6dOnG26b3ZOamorU1FQAQEpKCvz8/DB+/HijEaK6ujrMmjXLrPGdPHkSMTExhv3MzEwAwOrVq/Hxxx8DAJYvX47m5mZs2bIFjY2NCAoKQlFREXx8fAzHDaTO/crKyuDv7w+pVGpUHhsbC5VKhbq6Onh7exsli+np6aa6bCIisgBB5Fj/gN1LjFpaWuDi4mL0Wnt7O2pqagxPVR4JmpqaMHHiRFRWVuLZZ59FWVkZACAgIABHjx41TL4+fvz4qJ9Lk5ycjNjYWLzwwgsAgCNHjiA/Px9FRUW9jqiNxM8LEZG16u/7+0EcMaI+LVmyBDqdDk5OTtizZw8kkrsfl+3btyMmJgbd3d3YuHHjqE+KgLuTsl9//XW89957EAQBAQEB2Lt376DnexERkWVxxGgQRtuIEZkPPy9ERMNnMCNGXJVGREREpMfEiIiIiEiPiRERERGRHhMjIiIiIj0mRibW3d1t6RDIBvBzQkRknbhc30SkUins7OzQ0NCACRMmQCqVcqk29SCKIm7fvo1ffvkFdnZ2PR4eSURElsXEyETs7Ozg6+uLxsZGNDQ0WDocsnKPPfYYZDIZ7Ow4aEtEZE2YGJmQVCqFTCbDnTt3RuzvqtHQ2dvbQyKRcESRiMgKjbrEqKamBn/4wx9w+fJl2Nvb4/jx43BycjJZ+4IgYMyYMRgzZozJ2iQiIqLhMeoSo+TkZGzduhVRUVG4evUqHBwcLB0SERERWYlRlRhVVFRgzJgxiIqKAgC4ublZOCIiIiKyJlY187O0tBSLFy+Gl5cXBEHAwYMHe9RRqVSG35dSKBQ4duzYgNuvqqqCs7MzEhMTERYWhtzcXBNGT0RERLbOqkaMbt68iZCQELz44otYtmxZj9cPHDiADRs2QKVSYc6cOfjwww+RkJCAs2fPQiaTAQAUCgU6Ojp6HPvNN9+gs7MTx44dg1arxcSJExEfH4+IiAjExsb2Gk9HR4dRWy0tLQDu/hgdERER2YZ739uiKD68smilAIiFhYVGZU8//bSYlpZmVDZ9+nQxOzt7QG2q1WpxwYIFhv28vDwxLy+vz/qbN28WAXDjxo0bN27cRsB28eLFh+YKVjVi1J/bt29Do9EgOzvbqDwuLg5qtXpAbURERODy5cu4du0aXF1dUVpaitTU1D7rv/rqq8jMzDTs63Q6+Pj44MKFC3B1dX20C6Fh19raiqlTp+LixYtwcXGxdDg0COw728R+s00jud9EUcT169fh5eX10Lo2kxhduXIFXV1d8PT0NCr39PTEpUuXBtSGRCJBbm4uoqOjIYoi4uLisGjRoj7rOzg49LpqzdXVdcR9aEYDFxcX9puNYt/ZJvabbRqp/TbQAQ2bSYzuefCheKIoDupBeQkJCUhISDB1WERERDQCWNWqtP54eHjA3t6+x+hQU1NTj1EkIiIiokdhM4mRVCqFQqFAcXGxUXlxcTGUSuWwxODg4IDNmzfzoZA2hv1mu9h3ton9ZpvYb3cJ+hVgVuHGjRuorq4GAMycORM7duxATEwM3NzcIJPJcODAAaxatQoffPABIiMjsXv3bnz00UeoqKiAj4+PhaMnIiIiW2dVidHRo0cRExPTo3z16tX4+OOPAdx9wGNeXh4aGxsRFBSEnTt3Ijo6epgjJSIiopHIqhIjIiIiIkuymTlGRERERObGxIiIiIhIj4kRERERkR4TIxP73e9+h/Hjx+P3v/+9UfnFixcxd+5cyOVyzJgxA59//rmFIqTe9NVvAHDo0CE89dRTmDZtGv72t79ZIDoaiJ07dyIwMBByuRwZGRkD+7FIsriamhrExMRALpcjODgYN2/etHRINEC3bt2Cj48PsrKyLB2KSXHytYmVlJTgxo0b+OSTT/DFF18YyhsbG3H58mWEhoaiqakJYWFhqKyshJOTkwWjpXv66rc7d+5ALpejpKQELi4uCAsLw3//+1+4ublZMFp60C+//ILZs2ejoqICY8aMQXR0NPLz8xEZGWnp0Oghfv3rX2Pr1q2IiorC1atX4eLiAonE5n6UYVTatGkTqqqqIJPJkJ+fb+lwTIYjRiYWExODcePG9SifPHkyQkNDAQATJ06Em5sbrl69OszRUV/66rcTJ04gMDAQU6ZMwbhx47Bw4UIcPnzYAhHSw9y5cwft7e3o7OxEZ2cnJk6caOmQ6CHuJbJRUVEAADc3NyZFNqKqqgo//vgjFi5caOlQTG5UJUalpaVYvHgxvLy8IAgCDh482KOOSqWCr68vHB0doVAocOzYMZPHcfLkSXR3d2Pq1Kkmb3sksmS/NTQ0YMqUKYZ9b29v1NfXm6Tt0cTcfThhwgRkZWVBJpPBy8sLv/nNb/Dkk0+a8ApGJ3P3W1VVFZydnZGYmIiwsDDk5uaaMPrRazj+Z2ZlZWHbtm0miti6jKrU/ObNmwgJCcGLL76IZcuW9Xj9wIED2LBhA1QqFebMmYMPP/wQCQkJOHv2LGQyGQBAoVCgo6Ojx7HffPMNvLy8HhpDc3MzkpKSOFdlECzZb73daR7MjxbTXebuw7Fjx+LQoUOora3F2LFjkZCQgNLSUj78dYjM3W+dnZ04duwYtFotJk6ciPj4eERERCA2Ntbs1zaSmbvffvjhB/j7+8Pf3x9qtdrs1zPsxFEKgFhYWGhU9vTTT4tpaWlGZdOnTxezs7MH1XZJSYm4bNmyHuXt7e1iVFSU+Omnnw46XrpruPvt+++/F5csWWLYz8jIED/77LPBBU1GzNGH//znP8U//elPhv28vDzx7bffHnKs9D/m6De1Wi0uWLDAsJ+Xlyfm5eUNOVb6H3P0W3Z2tujt7S36+PiI7u7uoouLi/h///d/pgrZ4kbVrbT+3L59GxqNBnFxcUblcXFxJsmIRVFEcnIy5s2bh1WrVg25PbrL3P329NNP48yZM6ivr8f169dRVFSEBQsWDLld+h9T9OHUqVOhVqvR3t6Orq4uHD16FE899ZQ5wiU9U/RbREQELl++jGvXrqG7uxulpaUICAgwR7ikZ4p+27ZtGy5evIja2lrk5+dj7dq1eOONN8wRrkWMqltp/bly5Qq6urrg6elpVO7p6YlLly4NuJ0FCxagrKwMN2/ehLe3NwoLCxEREYHvv/8eBw4cwIwZMwz3e//xj38gODjYlJcx6pi73yQSCbZv346YmBh0d3dj48aNcHd3N/VljGqm6MPZs2dj4cKFmDlzJuzs7DB//nwkJiaaI1zSM0W/SSQS5ObmIjo6GqIoIi4uDosWLTJHuKRnqv+ZIxkTowc8OH9EFMVBzSnpa8XSM888g+7u7iHFRn0zV78BQGJiIr9kh8FQ+/Ctt97CW2+9Zeqw6CGG2m8JCQlISEgwdVj0EEPtt3uSk5NNFJH14K00PQ8PD9jb2/fImJuamnpk1mQ92G+2j31om9hvton99nBMjPSkUikUCgWKi4uNyouLi6FUKi0UFT0M+832sQ9tE/vNNrHfHm5U3Uq7ceMGqqurDfs1NTXQarVwc3ODTCZDZmYmVq1ahfDwcERGRmL37t24cOEC0tLSLBg1sd9sH/vQNrHfbBP7bYgsuCJu2JWUlIgAemyrV6821CkoKBB9fHxEqVQqhoWFid99953lAiZRFNlvIwH70Dax32wT+21o+FtpRERERHqcY0RERESkx8SIiIiISI+JEREREZEeEyMiIiIiPSZGRERERHpMjIiIiIj0mBgRERER6TExIiIiItJjYkRERESkx8SIiIiISI+JEREREZEeEyMiIr25c+dCEAQIggCtVmu28yQnJxvOc/DgQbOdh4gGj4kREVm16OhoCIKAN99806hcFEXMmjULgiDgjTfeMNn51q5di8bGRgQFBZkthnfffReNjY0mi5mITEdi6QCIiPoiiiK0Wi18fHxw+vRpo9c++eQTNDQ0AADCwsJMds7HHnsMkyZNMmsMrq6ucHV1NU3ARGRSHDEiIqtVVVWF69evIzk52SgpuX79Ol599VUkJycDABQKxYiOgYiGDxMjIrJaGo0Gjo6OeP7551FVVYWOjg4AwJtvvonQ0FBMnjwZHh4emDp16oiOgYiGDxMjIrJaZWVlmDFjBvz9/eHk5IRz586hqqoKKpUKO3fuRFlZmWGkZvv27fD29kZoaChCQkKQlpaGlpYWQ1vbt2+HIAiorKw0lK1btw52dna4efOmSWIgItvHxIiIrJZGo4FCoYAgCJgxYwbOnDmDP//5z1i3bh2mT58OjUZjmNtz5swZ7Ny5E1qtFmVlZXBycsKGDRsMbZ05cwbBwcGGxKimpgYnT57EE088AScnJ5PEQES2j4kREVmtU6dOGZKOkJAQvPvuuzhx4gQ2b96M27dvo6KiwigxCgwMBADY29tj06ZNOHTokKGtM2fO4LnnnjMkRm+++SaWLFliOMYUMQDArVu38PLLL0OpVEKpVGLt2rVobm423ZtCRGbFxIiIrNL58+eh0+kMt6lCQ0Nx8uRJvPXWW3B1dcXp06fR2dkJhUIBURTx888/Y9q0aYbjx44da7iVJooiamtrsWjRIvz444+oqqpCfX093N3djZblDyWGe9LT0xESEgK1Wg21Wo0VK1YgKSkJoiia420iIhNjYkREVkmj0UAqlRoSl9WrV+OXX35BSkoKgLtzf8aPHw9fX1+cP38eU6ZMwZgxYwzHnz9/Hk888YThb5lMhoCAAPz888/YsmUL3njjDZw5c6bfxGgwMQBAW1sbrl27hpUrVyInJwc5OTmYP38+nnzySVRXV5v+TSIik2NiRERWqaysDEFBQYZkZ8yYMfDw8IAgCIbXZ86cCcD4Nto9f//737F06VLD60FBQXBwcEBrayuam5sxZ86chyZGg4kBgNGoUHp6OtLT04f6NhDRMOMDHonIKm3btg3btm3r8/Vdu3YZ/r4/MRJFEfv370dRURH+85//GF6/lwC98sorCA4OBgD89NNPeOqpp0wSA3D34ZCurq747LPP8MILLwAAjhw5gqqqKvj5+fV3uURkJThiREQ2r6KiAh999BEUCgUUCgVKS0tRUlKCX/3qV4bX7yVGy5cvh1wuR0NDAzw8PCCVSo3aUqlUcHZ27vGU64FSqVTQaDSYNWsWZs+ejb1792Lv3r2GUSYASEtLg7Oz86NdLBGZlSByRiAREQCgvr4ebW1tAACZTNYjaTKVpqYmtLa2AgAmT57c7+MCiGh4MTEiIiIi0uOtNCIiIiI9JkZEREREekyMiIiIiPSYGBERERHpMTEiIiIi0mNiRERERKTHxIiIiIhIj4kRERERkR4TIyIiIiK9/wdedG39og8tHwAAAABJRU5ErkJggg==", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "r90_plot_vals = [0.1, 50, 100]\n", - "for r90 in r90_plot_vals:\n", - " plt.loglog(m_arr, fdm_dict_hsc[r90]/params_hsc['efficiency'], label=r'$r_{90} =$ ' + str(r90) + '$ ~R_{\\odot}$', color=color_dict[r90])\n", - "plot_existing_limits()\n", - "# plt.plot(0, 0, ls='--', color='k', label='Existing Limits')\n", - "# plt.plot(0, 0, color='k', label='This Work')\n", - "plt.ylim(1e-6, 1)\n", - "plt.xlim(1e-12, 1e-3)\n", - "plt.legend()\n", - "plt.xlabel('$M_{DM} [M_{\\odot}]$')\n", - "plt.ylabel('$f_{DM}$')\n", - "plt.title('Mock HSC')\n", - "# plt.savefig('figures/extended_limits_e.pdf')\n", - "plt.show()" + "fdm_dict_axion[0.1]/fdm_dict_axion_low_obs[0.1]" ] }, { @@ -1360,7 +1110,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 59, "metadata": {}, "outputs": [], "source": [ @@ -1415,7 +1165,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 60, "metadata": {}, "outputs": [], "source": [ @@ -1479,7 +1229,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 61, "metadata": {}, "outputs": [], "source": [ @@ -1537,7 +1287,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 62, "metadata": {}, "outputs": [], "source": [ @@ -1560,7 +1310,7 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 63, "metadata": {}, "outputs": [], "source": [ @@ -1626,19 +1376,31 @@ }, { "cell_type": "code", - "execution_count": 236, + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "#axion\n", + "umags, Amags = GenerateMagnificationCurve(rhoAxion, 0.5, vmin=0.00001, vmax=3, vstep=0.001, umax=4, nusteps=1000, AT=1.34, plot=True, save=False)\n", + "umags6, Amags6 = GenerateMagnificationCurve(rhoAxion, 0.6, vmin=0.00001, vmax=3, vstep=0.001, umax=4, nusteps=1000, AT=1.34, plot=False, save=False)\n", + "umags0, Amags0 = GenerateMagnificationCurve(rhoAxion, 0.01, vmin=0.00001, vmax=3, vstep=0.001, umax=4, nusteps=1000, AT=1.34, plot=False, save=False)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 84, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "u_T = 0.9934097500076854\n" + "u_T = 0.9822250735330809\n" ] }, { "data": { - "image/png": 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", "text/plain": [ "
" ] @@ -1648,40 +1410,139 @@ } ], "source": [ - "#axion\n", - "# umags, Amags = GenerateMagnificationCurve(rhoAxion, 0.5, vmin=0.00001, vmax=3, vstep=0.001, umax=4, nusteps=1000, AT=1.34, plot=True, save=False)\n", - "# umags6, Amags6 = GenerateMagnificationCurve(rhoAxion, 0.6, vmin=0.00001, vmax=3, vstep=0.001, umax=4, nusteps=1000, AT=1.34, plot=True, save=False)\n", - "umags0, Amags0 = GenerateMagnificationCurve(rhoAxion, 0.01, vmin=0.00001, vmax=3, vstep=0.001, umax=4, nusteps=1000, AT=1.34, plot=True, save=False)\n" + "# umags_dressed, Amags_dressed = GenerateMagnificationCurve(rhoDressedPBH, 0.5, vmin=0.00001, vmax=3, vstep=0.001, umax=4, nusteps=1000, AT=1.34, plot=True, save=False)\n", + "# umags_nfw, Amags_nfw = GenerateMagnificationCurve(rhoNFW, 0.5, vmin=0.00001, vmax=3, vstep=0.001, umax=4, nusteps=1000, AT=1.34, plot=True, save=False)\n", + "umags_axion, Amags_axion = GenerateMagnificationCurve(rhoAxion, 0.5, vmin=0.00001, vmax=3, vstep=0.001, umax=4, nusteps=1000, AT=1.34, plot=True, save=False)\n", + "\n", + "\n" ] }, { "cell_type": "code", - "execution_count": 28, + "execution_count": 87, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "2005.021604875475" + "0.000505985404710807" ] }, - "execution_count": 28, + "execution_count": 87, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "np.max(Amags)" + "min(abs(umags_nfw))" ] }, { "cell_type": "code", - "execution_count": 56, + "execution_count": 88, + "metadata": {}, + "outputs": [], + "source": [ + "mag_nfw_interp = interp1d(umags_nfw, Amags_nfw, bounds_error=False, fill_value=0, kind='linear')\n", + "mag_dressed_interp = interp1d(umags_dressed, Amags_dressed, bounds_error=False, fill_value=0, kind='linear')\n", + "mag_axion_interp = interp1d(umags_axion, Amags_axion, bounds_error=False, fill_value=0, kind='linear')" + ] + }, + { + "cell_type": "code", + "execution_count": 123, + "metadata": {}, + "outputs": [], + "source": [ + "t_e_test = 10 #hours\n", + "umin = min(abs(umags_nfw))\n", + "def u_func(umin, t, t_e):\n", + " return np.sqrt(umin**2 + (t/t_e)**2)\n", + "t_arr = np.concatenate([-1*np.flip(np.logspace(-4, 1.5, 10000)), np.logspace(-4, 1.5, 10000)])" + ] + }, + { + "cell_type": "code", + "execution_count": 124, + "metadata": {}, + "outputs": [], + "source": [ + "A_mag_nfw = mag_nfw_interp(u_func(umin, t_arr, t_e_test))\n", + "A_mag_dressed = mag_dressed_interp(u_func(umin, t_arr, t_e_test))\n", + "A_mag_axion = mag_axion_interp(u_func(umin, t_arr, t_e_test))" + ] + }, + { + "cell_type": "code", + "execution_count": 134, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(t_arr, A_mag_nfw, linewidth=2.5, label='NFW Subhalo')\n", + "plt.plot(t_arr, A_mag_dressed, linewidth=2.5, ls='--', label='Dressed PBH-like')\n", + "plt.plot(t_arr, A_mag_axion, linewidth=2.5, label='Axion/Boson Star')\n", + "\n", + "plt.xlabel('time [hr]')\n", + "plt.ylabel('A')\n", + "plt.xlim(-15,15)\n", + "plt.ylim(0.9, 2e4)\n", + "plt.yscale('log')\n", + "plt.title(r'$t_E = 10 ~\\text{hr}, r_{90} = 0.5, u_0 = 5\\times 10^{-4}$')\n", + "plt.legend(fontsize=18)\n", + "# plt.savefig('figures/magnification_curves_caustics.pdf')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 85, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(umags_nfw, Amags_nfw, linewidth=2.5, label='NFW Subhalo')\n", + "plt.plot(umags_dressed, Amags_dressed, linewidth=2.5, label='Dressed PBH-like')\n", + "plt.plot(umags_axion, Amags_axion, linewidth=2.5, label='Axion/Boson Star')\n", + "\n", + "plt.xlabel('u')\n", + "plt.ylabel('A')\n", + "plt.xlim(-1.5,1.5)\n", + "plt.ylim(0.9, 1e5)\n", + "plt.yscale('log')\n", + "plt.title(r'$r_{90} = 0.5$')\n", + "plt.legend(fontsize=18)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 72, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -1694,13 +1555,13 @@ "plt.plot(umags0, Amags0, linewidth=2.5, label=r'$r_{90} = 0.01$')\n", "plt.plot(umags, Amags, linewidth=2.5, label=r'$r_{90} = 0.5$')\n", "plt.plot(umags6, Amags6, linewidth=2.5, label=r'$r_{90} = 0.6$')\n", - "plt.axhline(1.34, ls='--', color='k')\n", - "plt.text(-1.9, 2.0, r'$A_T = 1.34$', fontsize=18)\n", + "# plt.axhline(1.34, ls='--', color='k')\n", + "# plt.text(-1.9, 2.0, r'$A_T = 1.34$', fontsize=18)\n", "\n", "plt.xlabel('u')\n", "plt.ylabel('A')\n", - "plt.xlim(-2,2)\n", - "plt.ylim(0.9, 4e3)\n", + "plt.xlim(-1.5,1.5)\n", + "plt.ylim(0.9, 1e5)\n", "plt.yscale('log')\n", "plt.title('Axion Star')\n", "plt.legend(fontsize=18)\n", From 1c59efb9df830b765024b9742b0b1be621bdbe6c Mon Sep 17 00:00:00 2001 From: Nolan Smyth Date: Fri, 1 Mar 2024 09:24:07 -0800 Subject: [PATCH 16/17] Creating final figures for revision --- examples/extended.ipynb | 224 ++++++++++++++++++++++++++++++++++------ 1 file changed, 191 insertions(+), 33 deletions(-) diff --git a/examples/extended.ipynb b/examples/extended.ipynb index c1b66c9..a45e8e0 100644 --- a/examples/extended.ipynb +++ b/examples/extended.ipynb @@ -989,14 +989,14 @@ }, { "cell_type": "code", - "execution_count": 52, + "execution_count": 249, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", 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" ] }, "metadata": {}, @@ -1004,7 +1004,7 @@ } ], "source": [ - "fig, axs = plt.subplots(3, 1, figsize=(12, 12), sharex=True) # 3 rows, 1 column, sharing x-axis\n", + "fig, axs = plt.subplots(3, 1, figsize=(16, 12), sharex=True) # 3 rows, 1 column, sharing x-axis\n", "\n", "# First subplot\n", "ax = axs[0]\n", @@ -1017,7 +1017,7 @@ "ax.text(1e-4, 5e-7, 'NFW Subhalo', fontsize=18)\n", "ax.set_ylim(1e-7, 1)\n", "ax.set_xlim(1e-11, 1e2)\n", - "ax.legend(loc='lower right')\n", + "ax.legend(loc='lower right', fontsize=16)\n", "# ax.set_ylabel('$f_{DM}$')\n", "\n", "# Second subplot\n", @@ -1029,9 +1029,9 @@ "\n", "plot_existing_limits_dpbh(ax)\n", "ax.text(1e-4, 5e-7, 'Dressed PBH-like', fontsize=18)\n", - "ax.set_ylabel('$f_{DM}$')\n", + "ax.set_ylabel('$f_{DM}$', fontsize=30)\n", "ax.set_ylim(1e-7, 1)\n", - "ax.legend(loc='lower right')\n", + "ax.legend(loc='lower right', fontsize=16)\n", "\n", "# Third subplot\n", "ax = axs[2]\n", @@ -1045,8 +1045,8 @@ "plot_existing_limits_axion()\n", "# ax.set_ylabel('$f_{DM}$')\n", "ax.set_ylim(1e-7, 1)\n", - "ax.legend(loc='lower right')\n", - "ax.set_xlabel('$M_{DM} [M_{\\odot}]$')\n", + "ax.legend(loc='lower right', fontsize=16)\n", + "ax.set_xlabel('$M_{DM} [M_{\\odot}]$', fontsize=30)\n", "\n", "fig.subplots_adjust(hspace=0.0) # Adjust this value as needed to reduce space\n", "\n", @@ -1388,19 +1388,56 @@ }, { "cell_type": "code", - "execution_count": 84, + "execution_count": 194, "metadata": {}, "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/Users/nolansmyth/opt/anaconda3/lib/python3.9/site-packages/scipy/integrate/_quadpack_py.py:1233: IntegrationWarning: The algorithm does not converge. Roundoff error is detected\n", + " in the extrapolation table. It is assumed that the requested tolerance\n", + " cannot be achieved, and that the returned result (if full_output = 1) is \n", + " the best which can be obtained.\n", + " quad_r = quad(f, low, high, args=args, full_output=self.full_output,\n" + ] + }, { "name": "stdout", "output_type": "stream", "text": [ - "u_T = 0.9822250735330809\n" + "u_T = 0.17995136576683501\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/Users/nolansmyth/opt/anaconda3/lib/python3.9/site-packages/scipy/integrate/_quadpack_py.py:1233: IntegrationWarning: The maximum number of subdivisions (50) has been achieved.\n", + " If increasing the limit yields no improvement it is advised to analyze \n", + " the integrand in order to determine the difficulties. If the position of a \n", + " local difficulty can be determined (singularity, discontinuity) one will \n", + " probably gain from splitting up the interval and calling the integrator \n", + " on the subranges. Perhaps a special-purpose integrator should be used.\n", + " quad_r = quad(f, low, high, args=args, full_output=self.full_output,\n" ] }, { "data": { - "image/png": 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+ "text/plain": [ + "(array([-4. , -3.9643063 , -3.92893111, ..., 3.92893111,\n", + " 3.9643063 , 4. ]),\n", + " array([4.98849955e-07, 5.12235351e-07, 5.25501304e-07, ...,\n", + " 5.25501304e-07, 5.12235351e-07, 4.98849955e-07]))" + ] + }, + "execution_count": 194, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", "text/plain": [ "
" ] @@ -1410,36 +1447,88 @@ } ], "source": [ - "# umags_dressed, Amags_dressed = GenerateMagnificationCurve(rhoDressedPBH, 0.5, vmin=0.00001, vmax=3, vstep=0.001, umax=4, nusteps=1000, AT=1.34, plot=True, save=False)\n", - "# umags_nfw, Amags_nfw = GenerateMagnificationCurve(rhoNFW, 0.5, vmin=0.00001, vmax=3, vstep=0.001, umax=4, nusteps=1000, AT=1.34, plot=True, save=False)\n", - "umags_axion, Amags_axion = GenerateMagnificationCurve(rhoAxion, 0.5, vmin=0.00001, vmax=3, vstep=0.001, umax=4, nusteps=1000, AT=1.34, plot=True, save=False)\n", - "\n", - "\n" + "GenerateMagnificationCurve(rhoDressedPBH, 100, vmin=0.00001, vmax=3, vstep=0.001, umax=4, nusteps=1000, AT=1.34, plot=True, save=False)\n" ] }, { "cell_type": "code", - "execution_count": 87, + "execution_count": 192, "metadata": {}, "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "u_T = 0.5385586957237709\n" + ] + }, { "data": { "text/plain": [ - "0.000505985404710807" + "(array([-4. , -3.96029483, -3.92098379, ..., 3.92098379,\n", + " 3.96029483, 4. ]),\n", + " array([7.96771800e-07, 8.48959273e-07, 9.00628718e-07, ...,\n", + " 9.00628718e-07, 8.48959273e-07, 7.96771800e-07]))" ] }, - "execution_count": 87, + "execution_count": 192, "metadata": {}, "output_type": "execute_result" + }, + { + "data": { + "image/png": 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QAeAqe16QHv669OBXpBefto4tO0Y67++lCz7KGBig2hBkAJQ905R2PSAN3Sr9sl86OGEdP/bl0vn/IK0NWmvCAKg+BBkAZeul563LR0MR6blHDx8/2S+1fsgaB7O01rn6ADiPIAOgrEzukX77XekX35CG77b2RJKkpUdZmzmu/YB0aquzNQIoHwQZAI7bZ0hPfN8KME98T9r/p8P3nbJWOuevrXVgVnidqhBAuSLIzBCPxxWLxdTc3CzDMCRJ3d3dzhYFVBhzSvrjL6y9j574nvT7+w/3vEjWJo5nv0865/8wfRrA/GwPMp2dnerr67P7aUsiGo2qr69P/f39mWPxeFyBQECxWMzBygB3O7hf+uOj0lM/l0buk0Z+KO3dnf2YE9ZIZ77L+jr1fHahBpAfj2mapp1PWFNTo4cfflivfe1r7XzaojMMQ6tXr9bOnTvl9Xqz7mtpaVEwGFRXV9esnxsfH1d9fb3GxsZUV1dXomqB8rVvTHrhN9Lzv5KeGZSeGbDWeTm4P/txy46RTn+T5AtIZ75TanyFM/UCcI4d51Dbe2S8Xq86Ojq0bds2nXvuuXY/fdFs27ZNPp9vVoiRrF6mcDg8Z5ABqs3UQelPf5DGnpTGd1nfR3dKL/zaCjB/enbun1vRYI13Of3N0uqLpFNapSXLSls7gMpje5AxDEM+n0+33nqrRkdHFQwGdfHFF9v9z9iuv79fjY1zL0Th8/mUSCRkGMacQQdwK3NK2v+StP9FaeJFad+oteDcnhesqc/p23sPtV98xlqEbvp4lrkcd4o1tuXl51nh5ZRWqcHH5SIA9rM9yPj9fg0ODmba3/rWt7R+/Xqdf/756urqKtvLL4ODg1q/fv2c9/l8PklSMpmU3+8vZVmoQKZpBYEFf01KByakA/usr4PTbqePz3lsnxVS0mFl+vf9L0kq4OKyZ4lUt1Kqb5LqT5PqT7eCS/qrtjx/zQFUINuDzPQQI0lXXHGFrrjiCj388MPq7u6Wx+NRMBgsu8tO+fS2zBdkHvlv6ZgVhxqHTgyZ0Ue082+bVi+BOWW107fnOq48HlPy41NHDiTmlMqOp0Zafqw1vfnoE6RjTpCOfpl01Mus7+n2sS+3QsuxL5dqljhdNQCUcPr1eeedp1tvvVWStHXrVn3hC1/Qe97zHr373e8uVQkFSwecVCqV8zHf/5C0Iue9wJF5lkg1S+f/WrrCWsl26Qrra8m020trpSUrstvp28uPlZYfZ32vPc66Pf370qO47INspimZB63NOacmD30/MO32oXau+82D1ngqc8q6bU4trp3zvul/UJjZt7O+T81xzFTmD6KZx+d6noU+9xEfL2X+kEu/5tOP5Wzn85gFPG8p/+2pKVOmaWba+6YW/5edI+vIbNiwQevXr1dHR4c2bNigrq4ubd682YlSbDOsH2ipjjrUMvXKV56pV73qTKt56ASROVGUSbuQnyt6jTWHvjyHb8vjruNLlh05kMz88iwhSCB/pilNjFkzxLIuGY5nXz6cGJcO7J12uXH67UNfkzOP7bVmmB1pHBRQGI8On4SkfapZ9DOWPMjce++9CofDikajMk1TXq9Xxx9/fKnLWJD0wni5BgNL0j/ven3W+J/a2lrVsgcMgDyZU9aA6vGnrAHV409J409Le6YPut596PZuq2fCCTXLpoX1eW7XLLWCfc2SQ2F/SeFt5XrcksN/TGT+wDh0npz+PXP/zPvsePxin0Oa/YfdXMfy/QO1gJ8p5b+7f/9+TR6YPNQ29aeX/qQbL9ei2B5kxsfHZw3oHR8f17Zt29TT06NkMinTNNXW1qZQKKR169bZXYIj6urqynYgM4DyYE5Jxog1TX33E1Iq/fU7aWyXdVlmIZbUTrtEWDf7suHy46Tlx0y73HjUtNsrpGUz2kuPOnSJsnbugELPIRZv+aEvy/h4GV5aWr16tXbvtpbs3LFjh8LhsCKRiCSpvr5e11xzjYLBoFavXm33P70oPp9PyWRyzvvSY2PSs5cA4EimDlo7dj8zKP1hh7Uo4B8esS775OSxBlLXnWrNCjvuVOmYk6yB1ke/TDr6+MO3jzqenb8BqQhBxjRNXXXVVRocHFQikZBpmvL7/QoGg9qwYYPd/5xt/H5/5hLSTOmAw9RrALkc3C/t+pn05E+kJ38sPfUza4zKTEtqpeNfKR1/htR4hrWiceMZUsNq6diTWSQQWKiijJGJRCIyTVPt7e3atGmTzjvvvGL8M7YKBALq6emZ877h4WG1tbWVuCIA5W7sSemJu6Tf3SXt3J69a7dkzRI79XxrYcCXn2t9HX8mYQWwU1GCzIYNG9TT06P6+vpiPH1RrF+/XqFQSMlkctYlpGg0mjPkAKguqd9Jv9xmff3xkez7jjlRWvUWqemN0mlvlE462xpbAqB4ivIrll4vxk28Xq+2bt2qUCiUtft1NBqVz+dTe3u7g9UBcNL409IvviH9sk/6w8OHj3tqpJUXSK94m/V18nmHZqsAKBnbg0yuZf7doL29XV6vV6FQSM3NzZkxM7FYzNnCAJTcwUnp8Tulh//dunSUXpHZs0TyrZPWrJde9efWAFwAzvGYZtZ6fVggO7YgB1A+jBFp4Bbpkf+UXnru8PHT3iSd81fSq//CmjUEYPHsOIdy9RZA1TNNa6bRg1+WfvOdw70vx75ceu3fSOe935ppBKD8EGQAVK2D+6XHbpN+fnP22BdfQGrdKJ1xGTOMgHJHkAFQdSb3SImvSQ980doKQLJWtT3nr6Q/+wfpxNc4Wx+A/BFkAFSNiXFp4N+kn//z4fEvx55shRf/BgbuAm5EkAFQ8faOWpePHvqKtM+wjnlXSW8ISef+rbXPEAB3IsgAqFgTL1oDeB+4SZoYs44df6b0pk9JZ/0l41+ASkCQAVBxDuyzLiH95AvSnhesYyeeLV34WenV75ZqljhbHwD7EGQAVIyDk9LDX5fu/5z04tPWscYzpLdcL53Vyaq7QCUiyABwPXPKmkZ932elUWuzetU1SW++Vjr3b9jvCKhk/HoDcLXf3y/d83HpmUGrfcyJ0ps+LbV0MYgXqAYEGQCutPtxKR6yVuKVpOXHWrOQLviodRtAdSDIAHCVPS9IP7xeGrpVmjpgbeLo3yC95Trp2JOcrg5AqRFkALjCgX3Sg1+Rfvx5a2E7SXrlO6S2HumENc7WBsA5BBkAZc00pV/1S7Fuaez31rGXnyddcpO0+mJnawPgPIIMgLL1x19Id/2D9PsfWe26ldLFX5DO+T9MpQZgIcgAKDt7dkv3/aM1DsacsjZ0fENIesM10rKjna4OQDkhyAAoG1MHpKGItR7M3pR17DXrpcAXpfrTnK0NQHkiyAAoCyM/tC4jPfeo1T7pHOmtX5ZWvcXJqgCUO4IMAEeNPSnd8wlrQK8kHdUoXXSD1LKBFXkBHBkfEwAccWCf9NNe6Sc3Sgf2WoN3Wz4gXfRP0tHHO10dALcgyAAouSfuku76sDQ6bLVPf7P0tq9Yl5MAYCEIMgBKZmyXdPdHpV/fbrWPO1W69J+lNR2Sx+NoaQBciiADoOgO7pd+frP0o+ulyT3WtgIXfNTanbr2OKerA+BmBBkARTXyQ+l7H5Re+LXVPu2N0mW3SCed7WhZACoEQQZAUfzpD9ZspEf/n9U++gRrW4Fz/orLSADsQ5ABYKupA9LAv0n3febQ5o4eae1V0sU3SEc1OF0dgEpDkAFgm6d+Ln3vKukPO6z2Ka3S22+RTlnraFkAKhhBBsCi7dktbd8kJbZa7RVead1myb9BqlniaGkAKhxBBkDBTFP6xX9L93xc2vOCdezcv5XaeqRjTnS0NABVgiADoCC7H7cuI+2812qfeJb09n+zZiUBQKkQZAAsyIEJa2uBH39eOjghLT3KWg/mdVdLS5Y5XR2AakOQAZC3398v3RmUXviN1W6+1BrM2+Bzti4A1YsgA+CI9qakWLf08L9b7WNOkt56s/SaTtaEAeAsggyAnEzTWtDu7qulPc9bx1qC1owk1oQBUA4IMgDmtPuJQ4N5t1vtE14jvSMsnfYGZ+sCgOkIMtMYhqFQKCSv16uenh6nywEccXC/NZj3/hsODeZdMW0w73KnqwOAbAQZSaFQSMlkUq2trYrH42pra3O6JMARv//xocG8hzZ4bL7E2uCxsdnZugAgF4KMlNX70tfX52AlgDP2pqRYSHr4a1b7mBOlS2+WznoPg3kBlDeCDFDFTFN69JvS3R87PJjX3yW13chgXgDuQJABqtToTul7H5CG77HaJ6yR3hFhMC8AdyHIAFVm6qD04Fek+z4jTe6RltRKF35WesM1DOYF4D4EGZuMj49ntWtra1VbW+tQNcDc/vCIdMcG6ZkBq73qLVYvzPFnOFoWgCoxMTGhiYmJTHvmubMQNYt+BkiSmpqaVF9fn/navHmz0yUBGZN7pe2fkrautUJMbb10+dekv76XEAOgdDZv3px1rmxqalr0c9IjY5Ndu3aprq4u06Y3BuVi5EdWL0zqCau9pl1661ek4052ti4A1WfTpk26+uqrM+3x8fFFhxmCjE3q6uqyggzgtL2jh/ZHOjSl+rhTpMu2SK/6c0fLAlDFijHswrWXlgKBgDweT0FfhmE4XT5QNKYp/epb0i1rDoeYlg9IH/wVIQZA5XFtj0wsFnO6BKDsjD8t3fUh6TffsdrHnyldvlU6/U2OlgUARePaIAPgMHNKGopI8ZA0MS7VLJXeuEl606esvZIAoFIRZACXe+E31mDeJ39itU/9M6sX5qSzna0LAEqBIAO4VGaX6s9Zt5cdI637gtS6UapZ4nR1AFAaBJkZDMNQKpVyugxgXk89KN1xpfTcY1b7FW+T3v5vkvd0Z+sCgFIjyEjq7e3VwMCAkslk5isQCMjr9aqzs1Pt7e1OlwhIkvb/Sdr+aemhf5VkSke/zFoThl2qAVQrj2maptNFuNn4+Ljq6+s1NjbGOjIoqifusjZ5HHvSar/2r6VLvmSFGQBwIzvOofTIAGXupeeluz8qPfpNq+1dJb0jLDVf4mRVAFAeCDJAmTJNK7z84CPS3t2Sp0a64GPSW66Xlh/jdHUAUB4IMkAZGttlXUZ64vtW+6TXSu/8mnTKWmfrAoByQ5ABykh6YbtYt7T/RWnJcunN10qvv0Zasszp6gCg/BBkgDKx+wlrYbvf/8hqr3yd9M5/l054tbN1AUA5I8gADps6IP38Zum+z0oH9knLjpbWbWZhOwDIB0EGcNAffyF99++lZwattq9NekdEaljtbF0A4BYEGcABByakH39B+skXrB6Z2nrp0n+Wzv07FrYDgIUgyAAl9tSDVi/M87+02q/6c+myLdJxpzhaFgC4EkEGKJHJPdK9n7HGw8iUjjlRettXpTXt9MIAQKEIMkAJ7LzP2uRxNGm1z/kr6dJ/kY4+3tm6AMDtCDJAEe0bk2LXSImtVruuydpe4Iy3OVsXAFQKggxQJL+9w1qd98VnrPbaq6S2G6Va9hYFANsQZACbvfS8tT/SY/9jtRvPsLYXOP1CZ+sCgEpEkAFsYprSY7dJP/gHac8L1iaPr/uE9JbrpGVHOV0dAFQmggxgg/GnpO9dJT1+p9U+8WzpXV9nk0cAKDaCDLAIpmkN5I1dI02MW5s8XvhZ6Q3d1m0AQHERZIACpYatTR5H7rPap/6Z1Qtzwhpn6wKAakKQARZo6qD04Jetxe0O7LU2ebz489L5H2aTRwAoNYIMsADPPWZtL/D0Q1Z79cXS5VulBp+zdQFAtSLIAHk4uF/68Wbpx5+XpiattWAu+ZJ03t+zvQAAOIkgAxzB0wNWL8xzj1rtM98pXXaLVHeqs3UBAAgyQE6Te6UfXiv97EuSOSUdfYL0tn+VXrOeXhgAKBcEGWAOT/5U+u77pd2PW+2z3yu99cvS0S9zti4AQDaCDDDN/pekez8tPfgVSaZ03CnS22+Vzrzc6coAAHMhyACH7LxPuuNKaTRptc/9O+nSf5ZWeB0tCwAwD4IMqt7Ei1KsWxq61WrXNVlTql9xqbN1AQCOjCCDqva7u6U7u6SxJ612ywekQI81vRoAUP4IMqhK+wzp7o9LO75utb2rpXd+zVrgDgDgHgQZVJ3H75TuDEovPiPJY20tsO4L0vJjnK4MALBQBBlUjT27pbs/Kv3iG1a78Qxrk8fT3uhoWQCARSDIoCr8+nbpex+UXvqj5KmRLrhauuifpGVHOV0ZAGAxCDKoaC89J33/Q9Kv+q32CWukd35dWvlnztYFALAHQQYVyTSlx26T7vqwtHe35FkivfGT0oWflZbWOl0dAMAuBJlDIpGIhoeHlUgklEql1NbWpp6eHqfLQgFefFb63lXSb//Xap/0Wuld/yGdfJ6zdQEA7EeQkRQKhRQMBtXV1SVJMgxDHR0damho0M6dO+X1ep0tEHkxTemR/7IG9O4zpJplVg/MG0PSkuVOVwcAKAaPaZqm00U4KRqNyufzye/3Zx03DEMNDQ1qa2tTLBbL+fPj4+Oqr6/X2NiY6upYRc0pY7usKdW/u8tqn9xi9cKcdLazdQEAcrPjHFpjc02uMzAwMCvESJLX61VXV5fi8bgMw8j58xMTE1nfkZ+JiQldd911i37dTFMa2ird8horxCypldZtlq78eeWFGLtes2rD67ZwvGaF4XVbODvOoVXfI9PQ0KC1a9fO2esSiUQUDAYVi8XU1tY2588/9dRTampq0q5du7Ry5cpil1sx7EjhozulOzZIO7db7ZUXWDOSTni1jYWWEXr/CsPrtnC8ZoXhdVs4O86hVT9GZu3atTnvS/fENDY2lqga5MOckgZukeKflCZfkpYeJV38eenP/kGqWeJ0dQCAUqr6IDPf+Jfh4WFJmvPSE5yx+wnpu38vPfljq336hdI7/11qfIWzdQEAnFH1QWY+kUgkM5Mpl/SVuWeffTbreG1trWprWbAkl/Hx8azvRzJ1UBr8N+lH/yQdmJCWHS295Xqp5Uprpd48n8bVFvqawcLrtnC8ZoXhdTuyiYmJrPEw6XPnYka5VP0YmVxCoZCi0aiGhobmnX6dTCbV3NxcusIAAKgww8PD8vl8Bf0sQWYOiURC69at09DQ0BFf2KmpKY2MjGjZsmXyeDyZ4/TIAACQbWaPjGmampyc1KpVq1RTU9hEatcGmUAgoHg8XtDPjo6OztvL0tzcrP7+fsbGAABQ5lwbZIolEAgoFArlnG4NAADKB0FmmmAwqI6ODkIMAAAuUfUr+6b19vbOGWKSyWTBl7AAAEBxMf1a1n5Lfr9/zp6YRCKx4LEyhmEoEolo9+7dmXYqldKmTZsYdzMPdiAvnGEYCoVC8nq9vGaHxONxxWIxNTc3Zxa37O7udraoMsf7aOH43CqMnefJqg8yiURC4XBYHR0dikQimePpD76+vj4NDQ3l/XyGYWjz5s3atGlT1oDiaDSqlpaWebc7qGbsQF6YUCikZDKp1tZWxeNx3luHRKNR9fX1qb+/P3MsHo8rEAjMuwhmteJ9VBg+twpj+3nSrHJer9eUlPPL5/Mt6PnC4bDp9XrN4eHhOf8tv99vV+kVo7+/3xwaGpp1fHR01JRktrW1OVCV+/j9frOrq8vpMhw3Ojpqer1ec3R0dNZ9fr/fDIfDpS/KRXgf5YfPrcLZfZ6s+jEyo6OjMk0z51d6m4J8pdedmW/HbGRb7A7kwHTbtm2Tz+eb86/hzs5OhcPh0heFisPnVuHsPk9WfZCxW1tbm0ZHR+d8gxuGMe8mldUqEokoEAjMeV9LS4skaXBwsJQlwcX6+/tzbvTq8/mUSCQ4wWDR+NwqnN3nSYJMifT29kqyrqkiGzuQw06Dg4M5V+ROH08mk6UsCRWIzy37FXqerPrBvqVgGIbC4bD6+/sL3kuikrEDOexkGMYRB1kmk0neU1gUPrfstZjzJEGmSNJTy4aHh5VKpRSLxQgxBchnB3IgX+mAk0qlnC0EFY3PrfzYdZ4kyBSJ1+vNrFkRj8cVDAYVDAbV3t7ucGXuEQqF5PP5WJMBgGvwuZU/u86TBJkSaGtr09q1a9XQ0KBwOExSz0MikVAkEtHQ0BBrMcA2jF1AMfG5VbjFnCcZ7HtIIBCQx+Mp6CufGRBer1ft7e0KBoMVM2OimK9ZR0eHtm/fXpGX44r9XgPgjEr+3CqFQs+TBJlDYrHYvOvJzPeVb/JubW2VpIrZu6lYr1kgEFA4HK7YgXKleK9VM5/Pl3NWUnpsDCca2K3SP7dKpZDzJEHGZg0NDero6JjzvvRJiKmfuQWDQYVCIZZIR8H8fn/Ov+bSv3ucbGAnPrcWxu7zJEHGRoZhzNsdlp6Sx1+Dc2MHctghEAjk/BAcHh7mZANb8bm1MMU4TxJkbJRemnr6RnXTxePxzDVAZDvSDuSEP+Rr/fr1SqVSc4aZaDSqYDDoQFWoRHxuLVwxzpPMWrJZejfUnp6erPEMkUhEiURiQTtpVwu7dyCvVoZhsD6KrA/KrVu3KhQKZX1YRqNR+Xw+/pA4At5H+eFzq3B2nyc9pmmaNtcIHV5iOf2h0NjYOOt/GiwNDQ3zdjX6fL4Fb95ZLXp7ezUwMKBkMqlEIiHJmsbo9XrV2dlZ1SfteDyuWCym5ubmzPsrvWYFsvE+Wjg+txbPrvMkQQYAALgWY2QAAIBrEWQAAIBrEWQAAIBrEWQAAIBrEWQAAIBrEWQAAIBrsSDeNOlFjQzD0MDAgILBIMuZAwBQxggyhwSDwaz9MuLxuAKBgEZHR1nEDgCAMsWlpUNSqVTWcubpPTIGBwedKgkAABwBPTKHzNzAKr1M99q1a50oBwAA5MHVQcYwDIVCIXm9XvX09OR8XCF7roTDYfZGAgCgzLkyyIRCISWTSbW2tioej887IDcajaqvry+rxyU9/iUWi816fCQSUSwWUyAQYIM5AADKnOs3jWxpadHatWsVDodn3WcYhlavXq2dO3fO6llpaWlRMBhUV1fXnD+XT08PAABwVkUP9t22bZt8Pt+cl4c6OzvnDD+S5PV6FQ6H1dvbq97e3iJXCQAAClXRQaa/v1+NjY1z3ufz+ZRIJDJjZoLBoJLJ5KzHzHX5CQAAlIeKDjKDg4OZadQzpY8nk0klEglFIpFZQSaVSjHYFwCAMlbRQcYwjCMGkWQyKb/fr+7u7qxBw/F4XIZhMEYGAIAy5spZS3ZIB5xUKiVJ2rRpU9Z4mIGBAQ0NDeXs0UmbmprSyMiIli1bJo/HkzleW1ur2tpa+wsHAMClJiYmNDExkWmbpqnJyUmtWrVKNTWF9a1UbZCZyev1FjTdemRkRM3NzUWoCACA6jA8PHzEjoNcqjbIpAf55hoMnK9ly5ZJkh566CGdfPLJmeP0yMxvfHxcTU1N2rVrl+rq6pwuxxV4zQpTf823pMj7pa6va+yLVzhdjivwXisMr9uRzeyRefbZZ3X++ednzqWFqNogY5f05aSTTz5ZK1eudLga96mrq+MXfoF4zRZo+dGZ77xuC8N7rTC8bgs3fWjGQlX0YF+fzzdrJlJaemxMoV1ZM1100UVas2aNtmzZYsvzAQBQqbZs2aI1a9booosuWvRzVXSPjN/vz1xCmikdcPx+vy3/1n333UePDAAAedi4caM2btyop556Sk1NTYt6rorukQkEAjl7ZIaHh+fdoylf6XEwjIdZmNraWl177bW8bgvAa1agJcuk173H+o688F4rDK/bwtlxDq2KvZbmmkbd3Nysnp4etbe3L+rfHx8fV319vcbGxrgmCpShmk/ckbk9ddPlDlYCYCY7zqGu75ExDCMz3mUmr9errVu3KhQKZR2PRqPy+XyLDjHTtba2MkYGAIA8pMfItLa2Lvq5XNkj09vbq4GBgcz2ApLU1tYmr9erzs7OWQElHo8rFoupubk5M2amkDVj5kKPDFDe6JEBypcd51BXBplyQpAByhtBBihfXFoCAABVjSBjE8bIAACQn6ofI1NOuLQElDcuLQHli0tLAACgqhFkAACAaxFkbMIYGQAA8sMYmTLCGBmgvDFGBihfjJEBAABVjSADAABciyADAABciyADAABciyBjE2YtAQCQH2YtlRFmLQHljVlLQPli1hIAAKhqBBkAAOBaBBkAAOBaBBkAAOBaBBmbMGsJAID8MGupjDBrCShvzFoCyhezlgAAQFUjyAAAANciyACoaJ4Z3wFUFoIMgIpmzvgOoLIQZAAAgGsRZAAAgGsRZAAAgGsRZGzCgngAAOSHBfHKCAviAeWNBfGA8sWCeAAAoKoRZAAAgGsRZAAAgGsRZAAAgGsRZAAAgGsRZAAAgGsRZAAAgGsRZAAAgGsRZAAAgGsRZAAAgGsRZGzCXksAAOSHvZbKCHstAeWNvZaA8sVeSwAAoKoRZAAAgGsRZAAAgGsRZAAAgGsRZAAAgGsRZAAAgGsRZAAAgGstdbqActLb2ytJGh4eVjKZVDgcls/nc7gqAACQC0HmkFAopE2bNsnr9UqSotGompubNTw8TJgBAKBMcWnpkHg8rlQqlWm3t7fL6/UqHA47WBUAAJgPQUaSYRhKJpNKJpNZxxsbG2UYhjNFAQCAI3L1pSXDMBQKheT1etXT05PzcfF4XLFYTM3NzZlg0t3dnbnf6/VqdHR01s8lk0m1tLTYXjcAALCHK4NMKBRSMplUa2ur4vG42tracj42Go2qr69P/f39mWPxeFyBQECxWCznz0UiEfl8PnV1ddlaOwAAsI8rg8z03pe+vr6cjzMMQxs2bNDOnTuzjre1tSkUCikSicwZVNI9PUNDQ/YVDaDkbn1gxOkSABRZRY+R2bZtm3w+X2Ym0nSdnZ05B/Ju2LBB27dvZ7YS4HIf/vajTpcAoMgqOsj09/ersbFxzvt8Pp8SicSswbzpadh+v78EFQIopoOm0xUAKLaKDjKDg4M5e1XSx6fPVIpGowoEAlkhJhKJFLdIAABQsIoOMoZhzHlZabp0kInH4xoYGFBjY6MSiYQSiYSi0WgJqgQAAIVy5WBfO6QDTiqVkmEY6ujokGEYmW0K0uab2TTd+Ph4Vru2tla1tbW21AoAQCWYmJjQxMREpj3z3FmIiu6RyVd6HRnTNGd9zTe1e7qmpibV19dnvjZv3lzkqgEAcJfNmzdnnSubmpoW/ZxV2yOTHuSbazDwQu3atUt1dXWZNr0xAABk27Rpk66++upMe3x8fNFhpmqDjN3q6uqyggwAAMhWjGEXFX1pyefzzdo/KS29QaRda8W0trZqzZo12rJliy3PBwBApdqyZYvWrFmj1tbWRT9XRffI+P3+nJs+pgOOXevFDAwM0CMDAEAeNm7cqI0bN2p8fFz19fWLeq6K7pEJBAI5e2SGh4fzHsgLAADKU0UHmfXr1yuVSs0ZZqLRqILBoANVAQAAu7g+yBiGkRnvMpPX69XWrVsVCoWyjkejUfl8PrW3t9tWB2NkAADIj51jZDymabpuN5Le3l4NDAwomUwqkUhIsna09nq96uzsnBVQ4vG4YrGYmpubM2Nmuru7baklfX1vbGyMMTJAman5xB1Z7ambLneoEgBzseMc6sogU04IMkD5IsgA5c2Oc6jrLy0BAIDqRZCxCWNkAADIT9WPkSknXFoCyheXloDyxqUlAABQ1QgyAADAtQgyNmGMDAAA+WGMTBlhjAxQvhgjA5Q3xsgAwALc+sCI0yUAsBlBBkDV+Mh3HnO6BAA2I8gAqBqTU1xJByoNQQYAALgWQcYmzFoCACA/zFoqI8xaAsrXzFlLEjOXgHLCrCUAAFDVCDIAAMC1HA8yO3bscLoEAADgUo4HmY6ODqdLAAAALuV4kEmlUk6XYAtmLQEAkJ+KmLV07733KhQKKZFI6ODBg06UYAtmLQHli1lLQHmz4xy61Oaa5rVjxw6Fw2Ft27ZNhmHINE15PJ5SlgAAACpI0YPMyMiIwuGwotGoksmkJCndCeT1ejU2NlbsEgAAQIUqSpAZHx9XJBJROByeFV7a2toUDAZ1xRVXSJJqahwfpgMAAFzKtiAzPj6ubdu2KRwOK5FISMoOLx0dHVq/fr3q6+uzfq6trc2uEgAAQJVZdJC5/fbbFQ6HFY/HJR0OL36/X52dnbrxxht1zz335Pz5+e4DAACYT0FB5vbbb1dfX5+i0aikw+HF5/MpGAyqvb1dq1evliSFw2GbSgUAAMiWd5C599571d/fnzXjSLIG7HZ1damzs1PnnXferJ9jVhIAACiWvILMJz/5SfX29srj8cg0TXm9Xq1fv14dHR1at25dsWt0hdbWVi1ZskQbN27Uxo0bnS4HAICytWXLFm3ZssWWdeTyXhAvHo8rHA5r+/bt6u3t1fr16/NavOaMM87QE088sehCyxUL4gHl6b3fGNJtO56ZdZwF8YDyYcc5NO+5z21tberv71cqlVJDQ4OuvPJKdXZ26vbbby/oHwaAYporxACoPAUt4nLFFVdo27ZtikQi2r17ty655BJ1dnbq3nvvtbs+AACAnBa1Gl19fb02bNige+65R5FIRENDQ7rkkkt01VVXaceOHTaVCAAAMDfbltWtr6/XNddco3vuuUfd3d267bbbdMkll2h4eFiPPPJIzp8j8AAAgEIVZX+A1atXZxbCGxoa0v/8z//o0ksv1U033aSRkZHM48bGxtTS0lKMEgAAQBUo+qaR5513XmZ9me3bt+vGG2/Uzp075ff7MwvqAQAAFKLoQWa6devWZdadiUQiGh4eZsE8AABQMMe2nu7q6mKfJQAlt+qGmNMlALCRY0FGstammbkbNgDYbe3Kw58zTxr7HKwEgN0cDTKSNW4GAIrpoY9e6HQJAIrE8SAz10aTbtTa2qo1a9Zoy5YtTpcCAEBZ27Jli9asWaPW1tZFP1dJB/tWsoGBAfZaAgAgD+kNltN7LS2G4z0yAAAAhSLIAAAA1yLIAAAA1yLIAAAA1yLIAKg47/3GkNMlACgRggyAinPbjmcyt2vYBQWoaAQZABXtq39xttMlACgigsw0hmEoGo2qubnZ6VIA2OQDr1/ldAkAioggc0gikdC2bdskSclk0uFqABTTrQ+MOF0CAJuwsu8hfr9ffr+fEANUgQ99+1F6aoAKQY8MgKrwnnNPydyeMh0sBICtXN0jYxiGQqGQvF6venp6cj4uHo8rFoupublZhmFIkrq7u0tUJYBy8M33tWTNZgJQGVwZZEKhkJLJpFpbWxWPx9XW1pbzsdFoVH19ferv788ci8fjCgQCisVipSgXAAAUiSsvLfX09Ki/v1/d3d3yer05H2cYhjZs2KCtW7dmHW9ra1MqlVIkEilypQAAoJhcGWTytW3bNvl8vjnDTmdnp8LhcOmLAgAAtqnoINPf36/GxsY57/P5fEokEpkxMwAqw/k33+90CQBKqKKDzODgoHw+35z3pY8z3RqoLINPjWVun+Zd4WAlAEqhooOMYRjzjqGRZgcZemiAyjHymYDTJQAoMlfOWrJDOuCkUilJVqCJRqOZmUwdHR1qbW1VV1fXEcOQJI2Pj2e1a2trVVtba2vNAOxz/s3366GPXuh0GUBVmZiY0MTERKY989xZiKoNMjP5fD51d3cXvL5MU1NTVvvaa6/VddddZ0NlAOxymneFnjT2Scq+BAWgNDZv3qzrr7/e1ues6EtL80lfQso1GHihdu3apbGxsczXpk2bbHleAPbhUhPgrE2bNmWdK3ft2rXo56RHxiZ1dXWqq6tzugwAAMpWMYZdVHSPjM/nyzkrKT02JtespoVqbW3VmjVrtGXLFlueDwCASrVlyxatWbNGra2ti36uiu6R8fv9OWchpQOO3++35d8aGBigRwZw2Kob2HYEcIONGzdq48aNGh8fV319/aKeq6J7ZAKBQM4emeHh4Xn3aALgPumBvJK0duXiPhwBuENFB5n169crlUrNGWai0aiCwaADVQEohXymVrMKMOB+rg8yhmFkxrvM5PV6tXXrVoVCoazj0WhUPp9P7e3tttXBGBnAHZYv8WRuMwUbcIadY2Q8pmmaNtRUUr29vRoYGFAymVQikZBk7Wjt9XrV2dk5K6DE43HFYjE1NzdnxswUul7MTOnre2NjY4yRARxW84k7Mrenbrp8zsfc+sCIPnj7o0d8HIDis+Mc6sogU04IMkD5yCfILORxAIrLjnOo6y8tlQsuLQHOYrwL4B5Mvy5DTL8GnMWu14B7MP0aAOaxkK0I6MkB3I0gA6DqTO+xYeYS4G4EGQBVh80jgcpBkLEJg30B53B5CHCXql9Hppww/Rpw3vTp1Kd5V+TV4zL9Z25599n6wOtXFaM0APNg+jUAzFDIZaOPfOexIlQCoBQIMgCq0vRNJSen6JgG3IogA8DV3vuNoYJ+Lp9NJQGUP4IMAFe7bcczmds1nnkeCKAiEWRswqwlwHlf/YuzC/7ZVTfEbKwEwHyYtVRGmLUEOGsxG0Cef/P9WQvisYEkUFrMWgJQ1Ra7fgzjZAD3I8gAcK3pvSnLbBggU+jAYQDOIcgAqAhf/vOzCvq5JdPyz/SBwwDcgSADwJVm9p4UujLvvy5igDAA5xFkbMKsJaC07Jp2PTMAcXkJKD5mLZURZi0BzrBzr6TpzyUxewkoFWYtAahKM2crLXbDx/ece8qifh6AcwgyAFzH7tlK33xfS1Z7sdO6AZQOQQaAqxU6W2mm6bOXpgclAOWNIAPAVWZuJbDYy0ppM2cv3frAiC3PC6C4CDIAXOVJY1/m9tqV9bY978xA9JHvPGbbcwMoHoIMANeYOXbF7i0GpgejySkmdAJuQJAB4Bp2D/KdaWYwYkdsoPwRZGzCgnhAcc1cqM6uQb4zneZdkbk9/TIWAPuwIF4ZYUE8oDSmL1pX45EOfLF4i9ZN/7fWrqxnl2ygSFgQD0BVmDk25qtF3h9p+bS52EzFBsobQQZA2ZseJmo89k25zuXmd2VftmKsDFC+CDIAytrMEFHs3hjJCkozx8qwmSRQnggyAMrWe78xlDXg9jTviqL3xqSNfCaQ1Z6+2zaA8kGQAVC2ZoaHmeGi2GZuJkmvDFB+CDIAytLMS0pO7FD9zfe1ZO3BdNuOZwgzQJkhyAAoOzMvKS2r8czaobpUZu7BxCUmoLwQZACUlVsfGJkVFoq1+F0+PvD6VbP2dGIWE1A+CDIAysqHv/1oVvs9555SsgG+uTz00QtnzWKaubYNAGcQZACUjVU3xHRw2lrja1fWO3ZJaaaRzwSyxssMPjXGeBmgDBBkbMJeS8DirLohNmuqdbltDTDXeBnCDLBw7LVURthrCVi882++f9bqvcXcS2kx3vuNoVljeN5z7ill03MEuAl7LQFwvVU3xGbtZ1SK1XsL9c33tcwa/EvPDOAcggwAR9z6wIiWXnNH1uUkSbrl3Wc7Prj3SB766IWz1rW5bcczDAAGHECQAVBy7/3GkD54+6OamnZhe4nHHSEmba6emcGnxpiaDZQYY2QWiTEywMLMHNQrWQN7S739gF3mGjMjWTOuym2wMlBuGCMDwDXOv/l+1Xxi9qWktSvrXRtiJKtn5pZ3n60aT/bxwafGVPOJOxg7AxQZPTKLRI8MML9cPRZS5c32mTn7Km35Eo9uftdZrrlsBpSKHedQgswiEWSAueU6qUuVfdnl1gdG9JHvPKbJqbk/WistvAGLQZCxWSQSydweHh7Wpk2b5PV65/0Zggxw2JFO4m4eC7NQ8/VESZUd5oB8EWRsFI1G1dfXp/7+fkmSYRhat26dhobmv76d/p/wzHO7CTKoSl978Eldc8cvdWCeT5JlNVLvO16jK//stNIVVib+7raHFX30D/M+5qilNfrCZa+uytcH1W18fFynnHg8QcYOLS0t2rp1q/x+f+ZYIBBQKBRSW1tbzp9LBxl96DZ5ao8uRakAAFQEc2KP9NX3MGtpsQzDUCKRkM/nyzru8/kyPTQAAKD8LHW6gMUwDEOhUEher1c9PT05HxePxxWLxdTc3CzDMCRJ3d3dmfuTyaQkzRoP4/V6lUgk8qrlmX8McGkJrpXP5Y/5cGmkcLz2qGbj4+M65auLew5XBplQKKRkMqnW1lbF4/F5L/3MHPsiWcEmEAgoFrNW4EylUjl/fr77pjumdqmOqXXly4kK995vDKlvxzPyeJRZSbcmx+18Hb1siW66fA3TiW2w7W+yd/890oDpmfYemNLHvvtLfey7v5Q0+/+taUpH8f8LZeqgDedNV555p/e+9PX15XycYRjasGGDdu7cmXW8ra1NoVBIkUhEXV1dWY8/0iwlwEm3PjCiz/zgN3px3wEdmDK19NAqbAemTHkOnbRmfk+fDqePhpvKcXsuhJbS+sDrV816rY80A2q6uf7f7pk8qA/e/qg+9O1H53yPTH8fLa3xaNkSj1YsXaIb3vYq/r+j7LkyyORr27Zt8vl8c4aTzs5OhcNhdXV1qbGxcc6fNwwj531AvtLhY9/kwTnvnzxoZp1Ach2fPGjO+it9ejsdVGZ+T8vVC1PjkWRK61nfpGx9830tOf/fzAw5c/XIpN8KUzneI9PfR5NT1vtsz+SUNt7+qD7yncdmvT9zvWczzzHt/uNqlxKIUFQVHWT6+/tzBhGfz6dEIiHDMDKDfFOpVFboSaVSWbOY4D7pECFTuuTME3TP489nBYoVS5cs6Hgh9k1OaSqPx6VPIPkcX1bjybtHhssKlW2+kJM2/fJiPj0yB6ZMmbICUPq9N9f7MNd7dvr9qb2T2nj7o/rEHb/M678nn9+9hfzepo/97PejCl30Cn4PKpDrp1+3tLRo7dq1CofDs+5raGjQ+vXr57wvkUiopaVFQ0ND8vv9amlpUU9PT9Z4m7mOzeTkgni3PjCinvt+p9ed3qCf/X50Qd/vefz5zMm9kMfadSzf2/smD2Z9SM133/R2/yPP6OChd/gSjzK3p1vo8UJ4JB21bO5JggvpkTk4ZdJzgqKb3os41/tzIT0yB6fMvIL8dPn87i3k9zZ9zCOp4ahleX12FPJ5dKTPODs+PxfzWZ7P91KHPRbE0/xBxuPxqLu7e84ZTekg09/fr/b2dkWjUcVisczz5Lsg3vPPP68TTzxRzz33nE444YS8684VQkIXvUKS8gooL+47oNTeycwv6UK/S4t77GKOmQcm5XmoX+b5HfIsXTbnY2feXsh909tzfXillaJHxq6xBhMTE9q8ebM2bdqk2traRT1XNeF1Wzg7X7MjXVqdqVg9MvP9UZPv58yRHndg8sifa3YcW8xn+ZG+Nx69TMfVLi1ZECr0HDpd1QaZZDKp5ubmzDgZ6fAWBY2NjRoYGMhri4KnnnpKTU1N+tWvfqVTTz01c7y2tnbeD4DVn4/r96N7Z72JTm84SpLmvM/ON5zTPTJT+17S6Bfb1dAdVc3yY4rWI1NJ3clsh1EYXreFq8TXLNdlZjt7ZH7626f05A1/nvNzzQ09Mov9A/n0hqO089O5r2JMTExoYmIi03766ae1Zs0a7dq1SytXrizo/21Fj5FZqOkzmNrb2xf0s2vWrMlqX3vttbruuutyPj500SsW3SPj5hP0+Pi46r8ojXya9XcAFN9cs8HsNj5+hupvcPfn2mKGLEw/h+WyefNmXX/99bbWXLVBJr0wnl2zkubqkZnPkX6p3BpQAADuVezAt2nTJl199dWZdrpHZjGqNsjYJdeVuZndZ8g2Pj6e9R1HxmtWGF63heM1KwyvW+EWM8qlooOMz+fLbD8wU3rF3pn7Ky3U5OSkpNmXlpCfpqYmp0twHV6zwvC6LRyvWWF43RYufS4tREUHGb/fn7mENFM64Cx2nZhVq1Zp165dOu644+TxzJ6GCAAA5maapl588UWdcsopBT9HRQeZQCCQczPJ4eHhedeHyVdNTU3BI60BAKh29fX1i/r5uVfoqhDr169XKpWa8/JSNBpVMBh0oCoAAGAX1wcZwzBy7lDt9Xq1detWhUKhrOPRaFQ+n2/BU6wBAEB5ceWCeL29vRoYGFAymVQikZBk7Wjt9XrV2dk5K6DE43HFYjE1Nzdnxsx0d3eXumwAAGAzVwaZcmcYhiKRiHbv3p1pp1Ipbdq0iU0o5xGJRDQ8PKxEIqFUKqW2tracY5yQzTAMhUIheb1eXrND+ANm4XgfLRyfW4Wx9Txpwlajo6Nmd3e3OTo6mnW8v7/flGTGYjFnCitz3d3d5vDwcKY9OjpqtrW1mV6vd9ZricO6u7vN9vZ2s6enx/T5fGZXV5fTJZWF/v5+s729PetYLBYz29raHKqovPE+KgyfW4Wx+zxJkLFZOBw2vV5v1ps7zev1mn6/34Gqylt/f785NDQ06/jo6KgpiZNPnvx+Pycg03rf5DqR+P1+MxwOl74oF+F9lB8+twpn93nS9YN9y016gb1c69dgtoGBgTm7Er1er7q6uhSPx3k9kbdt27bJ5/PNueFrZ2fnnBvMAgvF51bh7D5PEmRs1tbWptHR0Tnf4IZhaO3atQ5UVd4ikYgCgcCc97W0tEiSBgcHS1kSXKy/vz/nHmo+n0+JRIITDBaNz63C2X2eJMiUSG9vryTNmgoOzfumtXtzT1S+wcHBnFuPpI/n2roEyBefW/Yr9DxZ0Sv7lgvDMBQOh9Xf37/ovZ0qUSwWy3nf8PCwpMVvJYHqYRjGnJeVpksmk7ynsCh8btlrMedJgkyRpKeWDQ8PK5VKKRaLEWIKEIlE1NXV5XQZqBDpgJNrEU3ADnxu5ceu8yRBpki8Xm9mzYp4PK5gMKhgMMhqwgsQCoXk8/lYkwGAa/C5lT+7zpMEmRJoa2vT2rVr1dDQoHA4TFLPQyKRUCQS0dDQ0BEvEwD5YuwCionPrcIt5jzJYN9DAoGAPB5PQV/5zIDwer1qb29XMBismBkTxXzNOjo6tH379oq8HFfs9xoAZ1Ty51YpFHqeJMgcEovFZFoLBC74K9/k3draKsnqQqsExXrNAoGAwuFwxQ6UK8V7rZr5fL6cs5LSY2M40cBulf65VSqFnCcJMjZraGhQR0fHnPelT0JM/cwtGAwqFAqpra3N6VLgUn6/P+dfc+nfPU42sBOfWwtj93mSIGMjwzDm7Q5LT8njr8G59fb2qqOjY9aHQTKZrJheLBRfIBDI+SE4PDzMyQa24nNrYYpxniTI2Ci9NHV/f/+c98fj8cw1QGSLRqPy+/1znmQSiQThD3lbv369UqnUnGEmGo0qGAw6UBUqEZ9bC1eM8ySzlmwWCoUUDAbV09OTNZ4hEokokUhoaGjIueLKVCKRUDgcVkdHhyKRSOZ4OrX39fXxuuXBMAzWR5H1Qbl161aFQqGsD8toNCqfz8cfEkfA+yg/fG4Vzu7zpMc0TdPmGqHDSyynPxQaGxtn/U+DpaGhYd6uRp/Pl+luRLbe3l4NDAwomUwqkUhIsqYxer1edXZ2VvVJOx6PKxaLqbm5OfP+Sq9ZgWy8jxaOz63Fs+s8SZABAACuxRgZAADgWgQZAADgWgQZAADgWgQZAADgWgQZAADgWgQZAADgWgQZAADgWgQZAADgWgQZAADgWgQZAADgWgQZAADgWgQZAADgWgQZAADgWgQZAADgWgQZAADgWgQZAADgWgQZAADgWgQZAADgWgQZAK4WDAbV0tKi5uZmeTweGYaRdX8ymVQgEFBLS4saGhrU0tLiTKEAioIgA8DVOjo6FAwGlUwm57zf5/MpFApp7dq1s0IOAPfzmKZpOl0EACxWR0eHotGoRkdH5fV653yMx+OR3+/X0NBQaYsDUDT0yAAAANciyAAAANciyAAAANciyAAAANciyAAAANciyAAAANciyACoCqwhA1QmggyAitDY2Djv/fF4vESVACglggyAipDeeiDXCr+xWCznQnkA3IsgA6AirF+/Xl6vV5s3b551XygUUigUkiQlEgnF43EuNQEVgi0KAFQMwzAUCoWUTCbl8/kyPTCbNm2S1+tVQ0ODJOsylNfrZasCoAIQZAAAgGtxaQkAALgWQQYAALgWQQYAALgWQQYAALgWQQYAALgWQQYAALgWQQYAALgWQQYAALgWQQYAALgWQQYAALgWQQYAALgWQQYAALgWQQYAALgWQQYAALgWQQYAALjW/wcfN+uOWQGRZwAAAABJRU5ErkJggg==", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "GenerateMagnificationCurve(rhoDressedPBH, 10, vmin=0.00001, vmax=3, vstep=0.001, umax=4, nusteps=1000, AT=1.34, plot=True, save=False)\n", + "GenerateMagnificationCurve(rhoNFW, 10, vmin=0.00001, vmax=3, vstep=0.001, umax=4, nusteps=1000, AT=1.34, plot=True, save=False)\n", + "GenerateMagnificationCurve(rhoAxion, 1, vmin=0.00001, vmax=3, vstep=0.001, umax=4, nusteps=1000, AT=1.34, plot=True, save=False)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 200, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "u_T = 0.9822250735330809\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" } ], "source": [ - "min(abs(umags_nfw))" + "# r90 = 0.5\n", + "# umags_dressed, Amags_dressed = GenerateMagnificationCurve(rhoDressedPBH, r90, vmin=0.00001, vmax=3, vstep=0.001, umax=4, nusteps=1000, AT=1.34, plot=True, save=False)\n", + "# umags_nfw, Amags_nfw = GenerateMagnificationCurve(rhoNFW, r90, vmin=0.00001, vmax=3, vstep=0.001, umax=4, nusteps=1000, AT=1.34, plot=True, save=False)\n", + "# umags_axion, Amags_axion = GenerateMagnificationCurve(rhoAxion, r90, vmin=0.00001, vmax=3, vstep=0.001, umax=4, nusteps=1000, AT=1.34, plot=True, save=False)\n", + "\n", + "umags_dressed, Amags_dressed = GenerateMagnificationCurve(rhoDressedPBH, 10, vmin=0.00001, vmax=3, vstep=0.001, umax=4, nusteps=1000, AT=1.34, plot=True, save=False)\n", + "umags_nfw, Amags_nfw = GenerateMagnificationCurve(rhoNFW, 10, vmin=0.00001, vmax=3, vstep=0.001, umax=4, nusteps=1000, AT=1.34, plot=True, save=False)\n", + "umags_axion, Amags_axion = GenerateMagnificationCurve(rhoAxion, 0.5, vmin=0.00001, vmax=3, vstep=0.001, umax=4, nusteps=1000, AT=1.34, plot=True, save=False)" ] }, { "cell_type": "code", - "execution_count": 88, + "execution_count": 201, "metadata": {}, "outputs": [], "source": [ @@ -1450,36 +1539,104 @@ }, { "cell_type": "code", - "execution_count": 123, + "execution_count": 202, "metadata": {}, "outputs": [], "source": [ "t_e_test = 10 #hours\n", - "umin = min(abs(umags_nfw))\n", + "# umin = min(abs(umags_nfw))\n", + "umin = 1e-2\n", "def u_func(umin, t, t_e):\n", " return np.sqrt(umin**2 + (t/t_e)**2)\n", - "t_arr = np.concatenate([-1*np.flip(np.logspace(-4, 1.5, 10000)), np.logspace(-4, 1.5, 10000)])" + "t_arr = np.concatenate([-1*np.flip(np.logspace(-4, 1.5, 1000)), np.logspace(-4, 1.5, 1000)])" + ] + }, + { + "cell_type": "code", + "execution_count": 203, + "metadata": {}, + "outputs": [], + "source": [ + "u_arr = u_func(umin, t_arr, t_e_test)\n", + "\n", + "A_mag_nfw = mag_nfw_interp(u_arr)\n", + "A_mag_dressed = mag_dressed_interp(u_arr)\n", + "A_mag_axion = mag_axion_interp(u_arr)\n", + "magnification_pspl = np.array([magnification(u) for u in u_arr])" ] }, { "cell_type": "code", - "execution_count": 124, + "execution_count": 229, "metadata": {}, "outputs": [], "source": [ - "A_mag_nfw = mag_nfw_interp(u_func(umin, t_arr, t_e_test))\n", - "A_mag_dressed = mag_dressed_interp(u_func(umin, t_arr, t_e_test))\n", - "A_mag_axion = mag_axion_interp(u_func(umin, t_arr, t_e_test))" + "cadence_times = np.linspace(-15, 15, 121)" + ] + }, + { + "cell_type": "code", + "execution_count": 251, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "8.701356759927957e-10" + ] + }, + "execution_count": 251, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "(1.047**2 - 1)*1 * rsolkpc**2 * c**2 / (16*8.5**2*G)" + ] + }, + { + "cell_type": "code", + "execution_count": 240, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(t_arr, A_mag_nfw, linewidth=2.5, label='NFW Subhalo, $r_{90} = 10$')\n", + "plt.plot(t_arr, A_mag_dressed, linewidth=2.5, label='Dressed PBH-like, $r_{90} = 10$')\n", + "plt.plot(t_arr, A_mag_axion, linewidth=2.5, label='Axion/Boson Star, $r_{90} = 0.5$')\n", + "plt.plot(t_arr, magnification_pspl, linewidth=2.5, ls = ':', label='Point Lens', color='k')\n", + "\n", + "plt.xlabel('time [hr]')\n", + "plt.ylabel('A')\n", + "plt.xlim(-15,15)\n", + "plt.ylim(0.9, 6e2)\n", + "plt.yscale('log')\n", + "# plt.title(r'$t_E = 10 ~\\text{hr}, u_0 = 0.01$') \n", + "plt.text(3, 5e1, r'$t_E = 10 ~\\text{hr}, u_0 = 0.01$', fontsize=16) \n", + " \n", + "plt.legend(fontsize=16, loc='upper left')\n", + "# plt.savefig('figures/magnification_curves_caustics.pdf')\n", + "plt.show()" ] }, { "cell_type": "code", - "execution_count": 134, + "execution_count": 180, "metadata": {}, "outputs": [ { "data": { - "image/png": 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ePUH7DQYDbDYbWlpapH0WiwUGgyFWTSYiIoopnU6HPXv2wGKxBL2/TWcwGCKOAyoqKprxNrRaLfbt2yd9gwtMfotbVVUFi8UStH+67du3A0DEHnO/xsbGGS8P1N7eDkEQ0NDQEHJZc3Mz2traZn2uK9Hr9XO+TqzHW1VWVsb0/HRlSRmkZ6u1tRVarTZs2N6+fTuam5ul7a6uLg4wJCKipFZVVQW9Xg+TyRQx1BYXFy/oNjQaTcj7pT8kzzRt7ODgIABg7969EY8xm82oqqqadVv27t0bVKIyXeD7fDws9LGmxJfSQbqtrS3ip2utVit9em5qakJPT49UP93U1ASbzYbm5uYF11YREREtpra2Nukb2VjR6XRB2/7wO1NILi4uhlarnbH2eaYe7XCu1Auu1WrZSUYxlRHvBsRSV1dXxBk4/P+xrFZr2K+ETCYT6urqWO5BRERJRavVoqGhQVpYLBrvYxaLJegb3nBlDgaDIWJI9vc0Dw4OoqmpCVarNSTgCoIw59Cr1+vR3Nwc9n3cr66ubk7nJJqLlA7SgiBccQYOq9U6r7onIiJaHPZxN97qd8S7GVF33TIV1DnKmJy7sbERLS0tqKurQ09Pz4LPN738MVw4r6urg9lsRnt7e0h5hn8cUl1dHZqamtDe3h4SfltbW+c8/ezOnTtRXl6O8vJytLW1hQ3igW0RBAHbtm2T8kF3d7d0WVNTE5qbm2Gz2dDW1hbxA4ggCGhtbZW2u7u7YTKZrvghwF+3LggCOjs70djYGPY6giCgpaVFyi/d3d2oq6ubc1Zpb2+H1WqFRqOReu1n+sBB85PSQXom/j9Qm80WtN9sNkuDExobG2GxWGb1h+dwBL/IZ2VlISsrKzqNJSJKY2/1O3DH7r/EuxlR91L9rbh9XexqaNva2mA0GtHU1LTgANXW1nbFkOsPnnv37o1Y5+wvtQjXizybzq/p9Ho9GhsbYTKZoNPpoNVqYTAYYDQaw7bBH56rq6tDpulraGhAVVVVSNlKIKvVitbWVtTW1gbtLy8vR2NjY8Tw3dLSgpqaGun+tbe3o7y8HENDQyHH7tq1K2jApSAIWLdu3Yzhfrrq6moYjcagx9g/jV+kDxypxul0wul0StvTc1q0pHSN9HwYDAY0NzdDFEV0dHTM+sVn9erVUKvV0s+uXbti3FIiIqLIDAYDDAZD0JzKsyEIQtD80TqdbsZBhH4ajSZsecf0WbGqqqpgtVqD2jSfEO3X0NCAnp4e6f3aP6e0TCaLuM5EpNkuZhMwp4doYLLjLdKgR6vVioqKiqD7ZzAYIAhCyAwmFotF6kn202g0qK2tveKaGX4tLS2wWq0h7dRqtdI82+lg165dQbls9erVMbmdtA3S/q85rjTVz2z19vbCbrdLPzt37ozKeYmIiObLP2vFXMKTRqNBW1tb0M9sezD9YTIweJvN5qCyBP8MH4GBez5lHYG0Wi0aGxvR09ODoaEhqfe2qakpqsExUtj3B+NwExQIghBSlhHpW3GNRgObzRbywUen0836w5DJZJIe4+lqampgNptn9cEo2e3cuTMol/X29sbkdtK2tCPaVCoVVCpVvJtBRJRyrlumwkv1t8a7GVF33bLYv2f4A6bJZJr3wEO9Xj/rMFpTU4O6uroZyxD0ej00Gg327t0r9SIvpEd6Ov+81lVVVTCZTGhqappVDfNCabVadHZ2ht0/l3MElntYrVYIghBUyz0T//GR6qn9j3E6rJ2xWCW2KR2ktVptxE9w/k+B6VAnRESUzNQ5ypjWEqe6hoYGNDc3o7q6OmxN7mzM9r1So9FAr9ejtbUVzc3NsFgsYUNdTU0NWlpapAA93xAdbmBjIP+gS7PZHLYkI5o0Gk3YzDHX+yYIAnbt2gVBEFBeXg6DwYDy8vKgAY6RzKbXWqPRhA38ND8pXdqh1+sjzi/p/2PjjB1ERJTqmpubIQjCrOtsp6uqqpp1IKyrq4MgCFIJQbieT38JSGtrK9rb2+dd1jHTvNV+FRUVc56fej7mM33fdFarFevWrYNOp0NzczNqa2uh1WpnXYbqv/2Z7m802klTUjpIG43GiJ/Oenp6ovq1RmVlJcrKyrB79+6onZOIiCgaDAYDqqqq0NTUFPPeSH8onml5boPBINVi+6dom48rLcgCTH4DPdtOs4UEbqvVuuAlu6urq6HVakN6z8PNMBZO4BoZkdoIpNfS4rt370ZZWVnM7nNKB+mampqwRfvA5NdB0RyA0NnZiUOHDqG+vj5q5yQiIpot/xLckezZswfAzMt4R4O/vKOlpWXGAOsf+LbQ2uiZlgj31wxP7zgLnFs50JUem0hBu729HRqNZsHTDEaqXe7u7g667ZlKOBobGyMujd7e3g69Xj+nZdiTXX19PQ4dOhSzD5BJH6QFQQj5pOan0WiwZ8+ekK+y2tvbodVq0+oPiYiIUpt/wY9INBpNxIDlZ7PZolIG4Z81YqZvfv0BeKHfDldXV6Ouri4kXFqtVlRXV4e9zzU1NVLI9gvME5GCalVVVcj0fv6a5n379oUcPzg4eMUyi0AGgyEkzFutVhiNRul4i8WCioqKiOdoaGiAXq8PyT4WiwXNzc0zflNAcycTRVGMdyPmyv/VlNVqleZg9H9NtH379pCAbDab0dHRAZ1OF/XVfRwOB9RqNex2O2ftICKiRWcymaS5h/2dRIELekxnNBrR0dERtM//vuoPiXq9HlqtFjt37pzXWCKr1QqTyXTF0BauLXNhMpnQ2NgYNEAvsHMt0uqBwGQ2aG5uRmVlpdQrXltbC5lMJs2JHdh+/6IqAEJWNmxsbAzqWRcEATt27IDZbIYgCKiqqpLySVNTEzo6OmA2m6HVaqHX64Nup66uDjabTQrP/kVm/Nerrq5GTU1NyPnr6uqCPpS0tLSgp6cHxcWTA3UHBwexc+fOqM2OkmxildeSMkgnEgZpIkolouiDvft7cPa/AbX+H5C94pZ4N4mIaMFilddSevo7IiKam4ne5zH058kFpZznX8Pqz1ohkyvi3CoiosSU9DXSiYKzdhBRKrC9PLUqq3f0PDzDsVkNjIhoMcR61g6WdiwQSzuIKJX0/bICroGD0vaqTx+BUs05Z4koucUqr7FHmoiIZiCLdwOIiBIWgzQREQXgl5RERLPFIE1ERBKRQZqIaNYYpImIKDLRF+8WEBElLAbpKOGsHUSUCopu+yYyl+gv/2yFXJkf7yYREc0bZ+1IcJy1g4iIiCixcdYOIiIiIqIEwiBNRERERDQPDNJERERERPOQEe8GEBFR4nANvgOP4zQgy4AsIwc5q94V7yYRESUsBmkiIpJcenYHXBe6pO2VnziAzOKyOLaIiChxsbQjSjj9HRGlAtFlD972jMepJUREC8fp7xIcp78jolRy9pFr4R46Jm2v+PBfkLWsIo4tIiJauFjlNZZ2EBFRAFnQlsiVDRNeU1MTOjo6YDabAQAGgwEajUa63Gq1AgC2b9+O2traoMtSnclkQnt7O2w2G/bt2we9Xj+r613pMRUEAQBQXV2N2traeV9fr9ejsbEx7PU7OzthNpshCAIMBgO0Wi2am5vndEwkgiCguroaVqsVGo0G3d3dMx5vtVql4ysqKtDR0XHF20gX7JFeIPZIE1EqOfvzLXDbjkjby7e/jOzlN8WxRTRb5eXlsFqtGBoaCnt5U1MTdu3ahba2NhgMhkVuXfxYLBaUl5eju7t71kHab6bH1B9G/SE93AeUKz0n1dXVMJvN6O7uhlarnfP1/cdYLBbMJ875w/H0IK3T6WAwGEJCudFoBICkDNJckIWIiBYf+1qSRlFREYqKiiJe3tDQgLa2NhiNRlgslkVsWXyFC6izNdNjqtFo0NHRIfXWzvX6ANDW1oaioiIpoIa7/mzaON9vGWaqGw53zrl+EEkHDNJERDQDBulUYjAYUFtbGzH4paJYl7LU1NTAbDZLJTRzVVVVBavVmlAfbnp6esKWnFAoBmkiIgogm7bNIJ1qTCYTrFYrWlpa4t2UlOAP6vMNwsXFxQAw7yBO8cUgTUREkbG0I+VotVpotVr2OEaJf+DgfEtI/PXG6VS3nko4a0eUVFZWQqFQoL6+HvX19fFuDhHR/MgSt0fa4zgDz3DvnK6jLNwIRW5p0D7R64Kzv3NO55FnqZBZcl3IftfgIfgmIg8ECydzyVbIlblzuk60GQwGtLS0wGq1QqvVBs3KUFNTg8bGRqnHuqOjI2RwWVNTk9QT29PTA51OFzR7hdVqRXt7O7RaLWw2GwRBgFarRWdnpxTgZ3PMbG/Pz2w2o6OjAzqdTtpXU1Oz4MdrJmazGXq9fl71w2azGWazGc3NzQkzm4rRaJz1bB7A5H0I7I2vqqqSPlTM9nmLpd27d2P37t3wer0xOT+DdJR0dnZy1g4iSjmJNLHT8Dv/B+H1b8zpOqX3/hz5mz8ctM87MYjzbe+e03myV96B5dXmkP1Dr/wLxqxPzulcKz/5FjKLNs3pOtHmDzf+IK3VatHd3Q2j0QibzYaWlhY0NDTAbDZLpSD+cFReXo6dO3eiqqpKOl91dbVUVysIAkwmE9ra2oJu0x/cAczqGL8r3Z6fyWSCIAhBM034bydW6urqAAD79u2b0/UsFgv27t0rBf9E6o3u6OhAXV0durq6rnwwJgc7mkwmVFVVoa6ubtZ/J4vF38Hpn7Uj2hikiYhoBokTpCl6/HW5/rIEP71ej/b2duzcuRPAZM/10NCQFLybmpoAICgcAUBjYyN0Oh3q6upgsVjCzjZRW1sr9XCazeYrHjPb29NqtTCbzWhpaQmZJk6j0aCurm5B9eA2my0kjAuCAJvNBqPReMV5m/0fTKZfH5ic2/tKM3P4p9mLZLaBdy50Ot2sz9vV1YW2trag52i2z1sqYJAmIiJJzuq74R48NLUjgXqkKXoGBwcBhJ/RwmazBZUpBB5jMpnC9iZqtVpoNBqYzWZUVFSgtbUVdXV1IeUO/kCo1WqveMxsb6+2thYmkylir240AttCelCLiooiljNYrVYYjUZUVVVFvA2NRhPScx/IaDTGJEzPRktLCyoqKkKew9k+b6mAQZqIiCRFd3wbhbd943KttAwyRWa8myQpuOZTyFmzbU7XURZuDNmnyC7G8urn53QeeVb40r3C2/4D6vJ/nNO5MgpWz+n4WPD3iIbrDY0UPP0lFz09PWhvbw97TE9PD2pra2EwGFBeXg6tVguDwSCFRX/Y1ev1VzxmtrcHTJZKbN++fZb3PnH4VyI0Go1xqR9eiLq6Omg0mpA2z+V5SwUM0kREJJHJFZDJ4zsQLpIM1RpkqNYs+DwyRSayV94WhRYBmcVlUTnPYuvq6oJGowk7QC5SqYE/IFVXV4ft/Q38Gr+trQ1ms1n6t6WlBVqtFm1tbdJtXumY2d6e/7hEGaw3V/7lwxsbG6MWpAsLC0PKdgCElGDMh7/Upby8HHV1dSFlGnP5O0kFDNJERERpRBAEWCyWOZcr+MNSuIAWyD8w0WAwSEFKEATs2LED27Ztw9DQ0KyOme3tzfa4RFZUVBTVeaRPnjwZdn80PmwIgoCdO3dKs3pUV1cH1bWnwvMxF5xHmoiIKI20tLRAo9GgoaFhTtfz17d2dkaeOlAQBGlKt0D+Ol9/YJzNMbO9PX/bkrlcIHBWlGjQaDRhf6JBr9dL52pubobVag0ajDmX5y0VMEgTERGlCYvFEnbaudkKnF863Ln9g94inT+wlGQ2x8z29hobG9Ha2hr2uHgNxJst/wwX/qn0kk1bWxuampqC5pKe7fOWChikiYhIcunZz+Hk9zOlH4/jTLybRLNks9lgs9kiXt7S0oJt27ahra0t4gwX/mndIvEPJJwe+vw90f7ztra2hiyZPX0FwNkcM9vbq6qqQk1NTdhp6vyBfab7FYl/oZj5ms1z4p+DOdw3BLNp80LbGOm64fYLghCy32AwoKqqCtXV1dJls33eUoFMTKTZ9pOQf4Jvu93OBVmIKOn1/bICroGD0vbSD/wRuWvfE8cW0ZU0NTWho6NDKpWYPpjLH44NBoNU2zqd/+t5s9kMQRCk1eki1VG3tLSgu7sbOp1OWpnQP1DOv1qhv+bXHwYFQZDC4myOme3tBWpvb0dnZ2fIyoaFhYXQaDSoqam54rzPwORj2tnZKc06YTAYpBk2ZmO2z4l/MZPpwTLc7ev1+qDnYyFt9NejBz7fdXV1qKioCNpvMBjQ2NgIjUYj/X34b2vnzp3SoNDy8nIIgiDN4uFv52yft8UQq7zGIL1A/idm48aNXCKciJJeSJB+/+PIXXdvHFtERDR/gUuEHzt2jEE60bBHmohSSWiQ/gNy190XxxYRES1crPIaa6SJiGiKTDZtB/taiIgiYZAmIqLI+KUlEVFEDNJERDQDBmkiokgYpImIKEBwaQeH0RARRcYgTUREU6bXSIu++LSDiCgJMEgTEdEM2CNNRBQJgzQREQXgrB1ERLPFIE1ERJGxRpqIKCIGaSIiksjkyml7GKSJiCLJiHcDiIgocSz9wOMYOfRzADJAJkNmyZZ4N4mIKGExSBMRkUSRXQi1/u/j3QwioqTA0o4oqaysRFlZGXbv3h3vphARERERgN27d6OsrAyVlZUxOb9M5Gz7C+JwOKBWq2G326FSqeLdHCIiIiKaJlZ5jT3SRERERETzwBppIiKSjJ74Pdy2wwAARe5S5F/zKchk7HMhIgqHQZqIiCT2zm/DeaFT2pZlZCN/80fj2CIiosTFbgYiIoqMw2goyVgslng3gdIIgzQREU2RBS8RLnJBlqRnNpvj3YRFVV1dDUEQ4t0MShMs7SAiosjYI53UBEGA0WhEd3c39Hp9vJsTcxaLBVqtFhqNBgDQ1NSEjo4O6cOEwWCQLgMgBW69Xo/GxsZFbm18tbS0oKOjA0VFRQAAjUaDuro6aLVaNDU1oaGhIc4tTA4M0kRENAMG6WTW2toKAGhubkZzc3PUz6/T6WAwGGJy7vnYu3cv6urqpO2GhgY0NDSgvLwcVqsVHR0dYa9XXV2NwsJCdHd3Q6vVLlZz46a6uhqVlZVoa2sL2l9XV4fy8nI0NzeHDdIWiyUtPpDNBUs7iIgoQHBpB3N0cuvp6YFer5cCdSwE9vDGW3t7O6qqqkL2FxUVST2v4bS1taGoqAhGozGWzUsI7e3tEAQhbFBubm4OCdfTL6dgDNJERDQDJulkJQgCdDod6urqIAhCTGqle3p6EqYkwmw2L6i3tKqqClarNeUHK+7duxfV1dURL58pLFut1lg0KakxSBMR0QwYpJNVS0sLampqUFNTAyD1exPb2tqwffv2eV+/uLgYQOqHRYvFMuNgTK1WG7a8pb29PYatSl6skSYioimy6aUd8Q/Sdtc43hrqj3czou66wmVQZ+bE7PyDg4NS2YXBYEj5IGQ2mxf0YcFfP20wGKLVpISk1+sj1kD7BdaZA5MfLnbs2IGKiopYNy/pMEgTEdEM4h+k3xrqx51P7Y53M6LuxfvrcfvSdTE5t9VqRWVlpbRdV1cHs9kcsYa4rq4OXV1dUllDW1ubdJwgCFi3bh0EQYBWq4XJZEJtbS2MRiOsVis0Gg26u7tDztne3i5d7u8BDQxvVqsV1dXVsFqtqKioQEdHB1paWqTb7OzsRGNj46wG/5nN5gUFYLPZLAXxcDXfV7ovgfepvb0dWq0WNptNesz892Uu54zm4xNo586dKC8vR3l5Odra2sJeP/BvJHB2j66urqCykOm3LwgCWlpapMewu7sbdXV1QSU3gferpqYGjY2N0v3q6OiIOCA0UTFIExFRRGIC9EjT3LW3tweFMn8wam5uDhuk/T251dXVMJvNQcdoNBpUVFTAaDQGnbOjo0MK4NNVV1eHHG+1WoPCm1arRXd3tzTvs78UxR/C2tvbUV5ejqGhoSve3+bm5pBe1NmwWCzYu3cvzGYzOjo6wobx2dwXYDJEmkymkMF6LS0tIeUii/34BPJP9WcymaDT6aDVamEwGGA0GsP+bdTW1qK2thZ1dXWwWq0zDkbctWtX0AcG/4ewtrY26bH13y+j0QibzYaWlhY0NDTAbDbDZDLBarUm1cwprJEmIqIZMEgno8HBwZB9tbW1MJvNM9bH+mevCAylFosF1dXVYXtgdTpdyD5/cKytrQ3ar9VqUVdXFxJ4tVoturq6UFFREdQbbDAYIAjCrAb/WSyWK/ZI+0Nb4I9/AOb27dvDzuoxl/tiNpvDnqO2tjZofzwen+kaGhrQ09MjPactLS2orq6GTCaDyWSa8/mAyefA38vup9FoUFtbG/acer0+6HkzGAwYGhpKqhANsEeaiIgCqMu/gItPTA3Ykmep49iaSdcVLsOL99fHuxlRd13hspic12KxhJ3Grbq6Gi0tLWhtbQ0JcYHa2tpQXl4Oo9EIg8GAvXv3zmlmDpPJhJ07d4a9rKamRioz8Qeo4uJiCIIQMuOGPzTabLYZb6+9vX1WZR1FRUUR77fVapV6ZAPv61zui1arRWtra0gpA4CgcojFfnwi0Wq1aGxsRGNjozSrS3NzM5qamiAIwpzrzTUaDWw2W0iPsk6nk0o3prPZbEH3K5GmUpwtBmkiIpLkrf8g1v2DC16fDwp5Ynxpqc7MiVktcSpqbm6GzWaLGISam5tnDNL+wWg7duxATU3NnAKV1WoNG/r8/EFpeg/yQnohm5ubFzwFn1arRXNzM4xGI3Q6HWpra+d8X/R6PQwGA8rLy0PKJfz3NR6Pz2xoNBpUVVWhqqoKJpMJTU1NMJlMc7pdrVYbVGbiv6/h6ucDr5PsEuNVkoiIEoLdNY7bnvhv5Pz8n7HrzX3xbg7Ng0ajQVtbW9ifhoYGWCyWK07xVltbK5UUzMVspo7TaDTo7OwM2TcfgiDAarVGZbU9//Lh/lA+n/vS1tYm1VqbzWZUV1dDp9NJ5ReL/fiEc6XZWxobG6HRaOY177i/Ttzfq67RaFBeXh7x+JkWyUkWDNJRUllZibKyMuzenXojy4kofbSefBOvXToNr+jDv1qehsM1Ee8m0RyYzeYZ51L2X3alMGWxWKSFXOZSMxs48C4S/0wW0dDa2hp2gNx8FRUVSWF3rvfFfz3/kuk9PT0YGhqCXq/Htm3b5nXOWNi7d+8Vj6moqJixjX6Bf0dWqxXr1q2DTqeTvvXQarVxD8u7d+9GWVlZ0Cw20cQgHSWdnZ04dOgQ6utTr46PiNLHDw+/ErQ96ByNU0toPjo6OmbsndXr9VIZQyT+etna2lq0tbWhqalp1r2T00PldP790Qo1bW1t85qtI5LA+t653hf/FHqB/N8O+AP6Yj8+4VxpQRYgtHY5cH+gwPtRXV0NrVYbUjY0/TqxWGFzJvX19Th06FBIL3+0MEgTEZFEPm2WDi+nv0sq/tX5ZuKfxizSbA+7du2SZnPw10v7p2CbjcbGxohBvb29HXq9Piq9yP6yjmj13jY1NQEIXoxkrvcl0tRwgaF0sR6fmcy0RLi/tnn6AE6dTjfj30CkmVO6u7uDrpdqK0cySBMRkUS0B7/JjZ57NU4tobmabc+sP+yEC3PV1dUhvaH+r+j95QnTTQ9XDQ0N0Ov1ISUhFosFzc3NIWFzcHDwiqUO4fhnyJgNm8024+wWLS0tMJlMqKqqCprmb673pbW1NeQDir/9/sC/WI/PTKqrq6UPVIH8i6WE+9swGAxSyPa3N/ADgr8ufPr5/DPI+Kfq86+OKAjCvGccSSSctYOIiCTitB5pt3AiTi2h2TKbzSGhKNLyzy0tLVJIamlpgc1mg9FoRFtbG7q6uqSQFNgj6h+cKAgCdDod9Ho99uzZgx07dkjzUhuNRjQ2NkrBqq2tTQqn/l7ywcFBdHd3SwPnBEEIOkd1dTW2b9+OqqoqNDU1SSvcmUwm7N27NyRghgud0/nP4w+303ti/WGuqKgo4oIss7kvwGR99b59+2C1WmG1WqWQKAhCSDsX4/GJpKqqCrW1tRAEAbt27QoJtJFWO9Tr9Whra4PJZJIGEAaWcfgX6PEvNgNMfnjwTylYXV2N6upqGAwGaeEf//3yT8WXjGQil61aEIfDAbVaDbvdDpVKFe/mEBEtyNZH/hoHfXnS9hubV6L8li/EsUVEofw9pzNNrUYUKFZ5jaUdREQkmd6zMr2HmigRtLe3zzg7CdFiYWkHERFNmZabOdiQEtHevXuxbx/nOaf4Y480ERFJ3F5f0Pa42xOnlhCFZ7VaUVRUlJTLSVPqYZAmIiKJxxfcAz3m9sapJUTh+afjI0oEDNJERBQRSzso0VitVtTU1MS7GUQAWCNNREQBRJksaNsr+iIcSRQfs53mjWgxsEeaiIgi8rFDmogoIgZpIiKSyEQuEU5ENFsM0kREJGFpBxHR7DFIExGRxIXMoG32SBMRRcYgTUREkkEsCdp2LrkzTi0hIkp8DNJERBSRJ7Mo3k0gIkpYDNJERBSRl9N2EBFFxCBNREQRsUaaiCgyLsgSoKWlBQAgCAI6OztRV1cHg8EQ51YRES2e6bHZ4+OsHUREkTBIX1ZXV4fq6mopOJvNZhiNRgwNDUGj0cS3cUREi6QQgxgPeGvwOQfj2BoiosTG0o7LbDZb0LKjWq0WANDV1RWvJhERLbocjAVtZ1x4Pk4tISJKfOyRviwwRAOAxWIBAFRUVMSjOURE8SFO32SNNBFRJEkdpAVBgMlkgkajQWNjY8TjzGYzOjo6oNPpIAgCAKChoWHGczc3N6OxsZFlHUSU1jhpBxFRZEkZpE0mE6xWKyorK2E2m2ccENje3o69e/cG9Tj76587OjpCjm9paUFHRweMRuMVwzYRUaoRMX2JcCZpIqJIkrJGurGxEW1tbWhoaJixx1gQBOzYsQN79uwJ2m8wGGCz2aRZOgLV1tZiz5496OnpgclkinbTiYiSio+lHUREESVlkJ6t1tZWaLXasGF7+/btaG5uDns9jUaD5uZmNDU1oampKcatJCJKHGJwhzR87JEmIooopYN0W1sbiorCL2+r1WphsVikmum6ujpYrdaQY8KVfxARpQvWSBMRRZbSQbqrq0uaxm46/36r1QqLxYKWlpaQIG2z2TjYkIjSTHByZo00EVFkKR2kBUG4YhC2Wq3Q6/VoaGgIGrRoNpshCMKMs4EQEaWe4NoOlnYQEUWWlLN2RIM/YNtsNgDAzp07g+qhOzs70d3dHbFHezqHwxG0nZWVhaysrOg0logoThijiSgZOZ1OOJ1OaXt6TouWtA3S02k0mgVNd7d69eqg7a985Sv46le/usBWEREtrunB2QdfXNpBRLQQu3btwte+9rWY307aBmn/IMNIgxHnqre3FyqVStpmbzQRJaVpSdrLLmkiSkI7d+7EF7/4RWnb4XCEdHpGQ9oG6WhTqVRBQZqIKBldQimACWl7InNF/BpDRDRPi1Vim9KDDbVabchMHH7+2ujZ1kATEaUDD5RB28OqLXFqCRFR4kvpIK3X66USjun8AVuv10fltiorK1FWVobdu3dH5XxERInA62ONNBElr927d6OsrAyVlZUxOX9Kl3YYjcaI09f19PQETXe3UJ2dnSztIKKUw3mkiSiZ1dfXo76+Hg6HA2q1OurnT+ke6ZqaGthstrDlHe3t7airq4tDq4iIElfIrB0M0kREESV9kBYEQap3nk6j0WDPnj0wmUxB+9vb26HValFVVbUYTSQiShpZcAZts0eaiCiypCztaGpqQmdnJ6xWq/RjNBqh0Wiwffv2oIBcVVUFjUYDk8kEnU4n1Ux3dHTEqfVERImrBAMYxlSZmtr+FwAPxK9BREQJLCmD9FwXTjEYDFGthyYiShdyT2xWAyMiSgVJX9qRKDhrBxGlIh8rO4goiXHWjiTBWTuIKBXIpg035GBDIkpmnLWDiIjihrNIExFFxiBNRESSkOnvQvYQEZEfgzQREU2RBW+ysoOIKDIGaSIikrBHmoho9hiko4SzdhBRKhCndUlz1g4iSmactSNJcNYOIkoF03MzczQRJTPO2kFERIvGF9IjzShNRBQJgzQREUXE6e+IiCJjkCYiIskocoO2GaSJiCJjkCYiIsmwmB+0fTb35ji1hIgo8TFIExGRRJw2vNDLtwkiooj4ChklnP6OiFIRBxsSUTKL9fR3MlHkq+RC+KdTsdvtnP6OiJJe5k/+BV6FU9rW51yDzg9/Oo4tIiJauFjlNfZIExGRJGRlQ5HDDYmIImGQJiIiiVpmD9rOdV+IU0uIiBIfgzQREUlk0ya807hPxqklRESJj0GaiIgkYsjKhnFqCBFREmCQJiIiScgS4bIIBxIREYM0ERFNCemRjlM7iIiSAYM0ERFJpvdAc4JUIqLIGKSjhAuyEFEqYI80EaWSWC/IkhGTs6ahzs5OLshCRElvegc0O6SJKJnV19ejvr5eWpAl2tgjTUREAABRFEMHG8apLUREyYBBmoiILgsN0uyRJiKKjEGaiIgmiT7OI01ENAcM0kRENEn0sUaaiGgOGKSJiAgAIIo+1kgTEc0BgzQREU2SZ8InC35bsMmXxqkxRESJj0GaiIgAAJ4wBdF2eVEcWkJElBwYpImICADg8nlD9olc2pCIKCIG6SjhyoZElOxc3jBBOg7tICKKllivbCgT2d2wIP6Vcux2O1c2JKKkdmF0FCtavxK0r8S3DBc++49xahERUXTEKq+xR5qIiAAATudIyL7QCfGIiMiPQZqIiAAALtdwyL5VvmNxaAkRUXJgkCYiIgCA2+MO2cf+aCKiyBikiYgIAOD2eUL2TV8ynIiIpjBIExERAM7aQUQ0VwzSREQEAHB7w/VIM0oTEUXCIE1ERAAAT5gFWXxxaAcRUbJgkCYiIgCRaqSJiCgSBmkiIgIAuMKUdng42JCIKCIGaSIiAgC4www29MoYpImIImGQJiIiAOF7pL3skSYiiohBOkoqKytRVlaG3bt3x7spRETz4mRpBxGlmN27d6OsrAyVlZUxOX9GTM6ahjo7O6FSqeLdDCKieWNpBxGlmvr6etTX18PhcECtVkf9/OyRJiIiAIBTWRiyz8X+FiKiiBikiYgIAOCS5YTscyAvDi0hIkoODNJERAQAcIVZkIUrGxIRRcYgTUREAACXN9w6hlzbkIgoEgZpIiICALjCDDYUZeyRJiKKhEGaiIgAAG6PM3SnTIQoMkwTEYXDIE1ERAAAheNQ2P0ekeUdREThMEgTEREAwOVzh93vDjMIkYiIGKSJiOgypyd8kA63dDgRETFIExHRZW4xfM+z2xs+YBMRpTsGaSIiAhC559npDjMIkYiIGKSJiGhSpFrocReDNBFROAzSREQEIHJpx7h7YpFbQkSUHBikiYgIQPglwgFgzMUgTUQUDoM0EREBmKG0w+1a5JYQESUHBmkiIgIQOUhPhFvxkIiIGKSJiGiSK8IKhhMu9kgTEYXDIB0llZWVKCsrw+7du+PdFCKieYm0FPh4hIVaiIgS3e7du1FWVobKysqYnD8jJmdNQ52dnVCpVPFuBhHRvI3JcgAxNDQ7WdpBREmqvr4e9fX1cDgcUKvVUT8/e6SJiAgAMKBYEXb/uLJokVtCRJQcGKSJiAgA4Ikwj/SEyC8viYjCYZAmIiIAkYP0GGukiYjCYpAmIiIAM8wj7fEsckuIiJIDgzQREQEAvAg/a8eYh9PfERGFE/cgfeDAgXg3gYiIAOR4L4XdP+G0L3JLiIiSQ9yDdHV1dbybQEREAGTiRNj94sjxRW4JEVFyiHuQttls8W4CEREB8MhkYfdPeFkjTUQUTtyC9HPPPYfKykoIghCvJhARUYDwQw2BCS9n7SAiCmdRJwc9cOAAmpub0draCkEQIIoiZBF6QIiIaHG5Ef712MkeaSKisGIepE+dOoXm5ma0t7fDarUCAERRBABoNBrY7RzEQkSUCDyRgrSPQZqIKJyYBGmHw4GWlhY0NzeHhGeDwYC6ujo89NBDAAC5PO5l2kREBMAtC/967IowvzQRUbqLWpB2OBxobW1Fc3MzLBYLgODwXF1djZqaGqjV6qDrGQyGaDWBiIjmSRRFuCMMm3GK4eeXJiJKdwsO0o899hiam5thNpsBTIVnvV6P7du341vf+haeffbZiNef6TIiIlocbp8X3gg90gzSREThzStIP/bYY9i7dy/a29sBTIVnrVaLuro6VFVVYd26dQCA5ubmKDWViIhiZXSG1Qvdl1/jiYgo2KyD9HPPPYe2tragGTeAyQGDtbW12L59O7Zu3RpyPc7KQUSU+MY8kae4czFIExGFNasg/c///M9oamqCTCaDKIrQaDSoqalBdXU1tm3bFus2EhFRjA27nREvc4NBmogonFkF6W9961swGAxobm7Gvn370NTUhJqaGqhUqli3j4iIFsHg2GjQdr7oxIgsCwAQueiDiCi9zbq0w2AwSDNsPProo/jc5z4HmUyG7du340Mf+lDMGriYmpqaAAA9PT2wWq1obm6GVquNc6uIiGJvyBlc2pHphfQOMYrsxW8QEVESmNdgw4ceeggPPfQQ7HY7Wltbcc8996CwsBB1dXW4++67o93GRWEymbBz505oNBoAQHt7O3Q6HXp6ehimiSjl2Z3BpR2D7hLIMoYBAKMyBmkionAWtBqKWq3Gjh078Oyzz6KlpQXd3d2455578Nd//dc4cOBAlJq4OMxmM2w2m7RdVVUFjUbDWUeIKC0IrongHZ6pfhYvuCALEVE4UVtWUK1W45/+6Z/w7LPPoqGhAb/97W9xzz33oKenB2+++WbE6yVC4BYEAVarVVqF0a+oqAiCIMSnUUREi8gxrUdaIWZKvzNIExGFF5MlwtetW4dvfetbAID9+/fjN7/5DRoaGmA0GlFVVYW1a9cCAOx2O8rLy+H1zu9FWhAEmEwmaDQaNDY2RjzObDajo6MDOp1OCsYNDQ3S5RqNBkNDQyHXs1qtKC8vn1fbiIiSid0VHKRzZFnwDz8UZT6IosjpTImIpolJkA60detWaX7pffv24Vvf+hZOnjwJvV4vLegyVyaTCVarFZWVlTCbzTMuM97e3o69e/eira1N2mc2m2E0GtHR0RHxei0tLdBqtaitrZ1XG4mIksnoeHBngiYjA4HzeIx73cjNyAQREU2JeZAOtG3bNmne6ZaWFvT09MyrhyOw93nv3r0RjxMEATt27MDJkyeD9hsMBphMJrS0tIQNyv6e7u7u7jm3jYgoGTlHeoO2DbLX8QhKpe1ht5NBmohomqjVSM9VbW0tnn322ZjeRmtrK7RarTQTR6Dt27dHHEi4Y8cO7Nu3j7N1EFHaGPNMDTbMEj0okY8HXT7Tgi1EROkqbkEamOwZVqvVMTt/W1sbioqKwl6m1WphsVhCBhP6p8HT6/UxaxcRUaIZ80wF5RzRjeyM3KDLbRNji90kIqKEF9cgDUzWTcdKV1dXxF5l//7AmTra29thNBqDQnRLS0vM2kdElCic3qn1C7PhQV5m8Mq1l0bsi90kIqKEF/cg7R+IGAuCIIQt6wjkD9JmsxmdnZ0oKiqCxWKBxWKZ92BIIqJkM+71SL/nim4U5AR/mzcwKixyi4iIEt+iDjZMJP6AbbPZIAgCqqurIQiCtEy430wzewRyOBxB21lZWcjKyopKW4mIYm3C5wUwOfg7W/RAnasGhkekywdHHRGuSUSUeJxOJ5wB8+NPz2nREvce6UTgn0daFMWQn5mm1gu0evVqqNVq6WfXrl0xbjURUfSMi1Pz+eeIXmiyg0s7hHEGaSJKHrt27QrKZatXr47J7aRtj7R/kGGkwYhz1dvbC5Vq6o2HvdFElEzGRZ+/Q3oySOcGDwQXJkbCXIuIKDHt3LkTX/ziF6Vth8MRkzCdtkE62lQqVVCQJiJKJuMipCCdLfqgziuCQvTBK5v84tLhZJAmouSxWCW2KV3aodVqg2blCGSz2aRjiIjSXeDkdtkA8nI1yMPUTB4j7vGQ6xARpbuUDtJ6vT5knmg/f8DmfNFERMC4bOrtIAty5OapkSe6pX2jXJCFiChESgdpo9EYsUe6p6dn1gMJZ6OyshJlZWXYvXt31M5JRLQYvD4fxmVTlX5ZMjny8wuRJ071SI96GaSJKPns3r0bZWVlqKysjMn5UzpI19TUwGazhQ3T7e3tqKuri9ptdXZ24tChQ6ivr4/aOYmIFsOIJzgkuzLWICdHFdQjPe7zTr8aEVHCq6+vx6FDh9DZ2RmT8yd9kBYEQap3nk6j0WDPnj0wmUxB+9vb26HValFVVbUYTSQiSmgOV3CQtuXdDLkiA8dcG6R9FxVLF7tZREQJLyln7WhqakJnZyesVqv0YzQaodFosH379qCAXFVVBY1GA5PJBJ1OJ9VMz3ahFSKiVOdwTwRtazKzAQAicgAMAwAmApYQJyKiSUkZpBsaGuZ0vMFgiGo9NBFRKhGcwTNyFGZPBulMmRL+iO0UGaSJiKZL+tKORMHBhkSUrPrHRoO2i7JyAQBZ8kxpnyugXpqIKFnEerBhUvZIJ6LOzk4uyEJESenCaHCQLsnJAQDkyKcWM3CJLoiiCJlMtqhtIyJaiPr6etTX18PhcECtVl/5CnPEHmkiojR3ceBo0PY6z+RMR2vkQ9I+USaGzO5BRJTuGKSJiNLcwJg9aHtJ9mRP9FbxraD9gxNjICKiKQzSRERpzjYxIv2uEieQn18EAMjPyA4+zskgTUQUiEGaiCjNCe6pWTvUPify8woBAKqM/KDjLo0PL2q7iIgSHYN0lHDWDiJKVnb31NR2GnECqoLJHml1dvAA6rP2S4vaLiKiheKsHUmCs3YQUbJyeN0AJmfjUIlOFKk0AIDi3EJgZKrs45yDQZqIkgtn7SAiopgaFn3S7/miB8oMBQCgOL8UMlGULrswMhRyXSKidMYgTUSU5kYCwnKuzyv9XlBQArU4tXz4wJhjUdtFRJToGKSJiNKYKIoYCXgryMVUqC4oKIYmIEgPOUdARERTGKSJiNLYmMcFt2zqrSAHCul3tXpJUJAW3BMgIqIpDNJERGns4kRwL3OePFP6vVBdisKAIG33uhetXUREyYBBOko4/R0RJaML48FBukCRI/2elZWNPHEqPI8E1E8TESUDTn+XJDj9HRElowvTFllRZwa/juX5pmb0GA4YlEhElAw4/R0REcXM2dHgmThGlj8ctH1O3Dh1GRTwsFeaiEjCIE1ElMZOOQTpd1EEVqlLgi4fUFZMbciAgYnRRWoZEVHiY5AmIkpjvcMBPdJeJVaocoIuX5KdH7TdP60UhIgonTFIExGlsXNjAcHYk4kl+ZlBly/PC66ZZpAmIprCIE1ElMYuTQQGaSWWFmQFXb4mXxO03TfK1Q2JiPwYpImI0phj4pL0u1Z2CSW5wT3SWlXwKPcTQxcXpV1ERMmAQZqIKI0N+1zS77cpjiBLqQi6fIO7CxrfuLTdO3h60dpGRJToGKSjhAuyEFGycXo9GIVM2s4LM0+0WlWKUnFM2u4fExajaUREUcEFWZIEF2QhomTTPx5c75wDZcgxhYXLUSqO4jiKAQCXnGMhxxARJSouyEJERDHRO2oP2lbJc0KOKS1ZgRLfVHge9LhCjiEiSlcM0kREaersqBC0XagM/VYtL7cAxb4JaXtA9EHkUuFERAAYpImI0tYpe/AMHKW5pWGPU/mmgrMbMgyyvIOICACDNBFR2jo60Cf9rvZNQKNeFfY4FYKnxDszMhTTdhERJQsGaSKiNHXaMTWH9HJxGKrC8EFao8gL2j4zrSSEiChdMUgTEaWpcwGzdiz3jaCk5KqwxxVmFwdts0eaiGgSgzQRUZq6FDADx3LfMJYvWxv2uML8FcgVp449busLexwRUbphkCYiSkMurwdCwOwbRT4nCvILwx6bV7gay30j0rZ1qD/m7SMiSgYM0lHClQ2JKJn0jQXPIV3gk0Emk4U9VlO0Bst9w9J27yhLO4goOXBlwyTBlQ2JKJlYh21B2ycztkU8dukyHVReL/wLH55ze2LZNCKiqOHKhkREFHXW4cGgbbEwcpBevnQt/jR8t7Q95HXC6WWYJiJikCYiSkMn7APS76JPho2aoojHKuQylCiDe3JOTuvRJiJKRwzSRERp6NDQ1BzScOdgTWHujMdflRcctE8MD0Q4kogofTBIExGloeOOgCDsyoa2aOYgvUkTvHx4j4NBmoiIQZqIKA31jU3VSGe75VhXlDPj8ZuLCyF6psanHxEuzXA0EVF6YJAmIkozNucYxnxTgwX/IfsPWKmeOUhfo7RirU+Qtt+5dDpWzSMiShoM0kREaebEtLKMAp8cGYqZ3w5W5Ym4HmelbevI4AxHExGlBwZpIqI0c8R+MWi7CDP3RgPAilVXY41vahGXC24nXJwCj4jSHIM0EVGaOSJMBWml6EVR9pIrXmdJ6Wos845J2z4Ap0a4wiERpTcGaSKiNPPWQK/0+1qfAKXqqiteRy6Xo8CXFbTvkHAh6m0jIkomDNJERGnmHds56XetbwiqJWWzul5hRnHQ9iGhP6rtIiJKNgzSUVJZWYmysjLs3r073k0hIorI7fPirHNU2tZ5bVi5esusrptVoMOqgDrpg4NnZziaiCj+du/ejbKyMlRWVsbk/BlXPoRmo7OzEyqVKt7NICKaUY9jEN6A7au8dmivunpW180v3YwNZzpwVj65XPibl3qvcA0ioviqr69HfX09HA4H1Gp11M/PHmkiojTytnA+aFvty4BSmTmr6y5deQ02eKemvbOO2eH2eWe4BhFRamOQJiJKI28OTtVHy0UfChXFMxwdTLd2Czb4bNK2B8BxB1c4JKL0xSBNRJRG9gfUNWt9Q8hQ6WZ9XVWBGiUeX9C+d4Y4cwcRpS8GaSKiNGIJqGu+2juAvJLZ1Uf75cvUkItTYfodztxBRGmMQZqIKE3YnGO44JpaVEU2kYulayrmdpLcdUErHL5lOz/DwUREqY1BmogoTbwZMH80ADw+dD82bLxpTudwbPg8+kbXSdtvcOYOIkpjDNJERGliepBelV2KHKViTue4eu1GuMYKpe1z43ZcHB+OSvuIiJINgzQRUZo4MNgn/S66lahYVjrnc1y3vACyiYKgfV0DXJiFiNITgzQRUZp47dKZqY2JfGxdNffFCXIzM7Ahf1nQvu5BlncQUXpikCYiSgNDzrHgOZ/HVdCvnN8qXxUrSiA6c6Rt9kgTUbpikCYiSgOvB/ZGA2jKfgRbS+a3KuGtxXas9wjSdufF0wtpGhFR0mKQJiJKA69fCg67N/n6sKxk+bzOdX3BALbLX5e2LzhHcW7MPsM1iIhSE4M0EVEaCKyP1nltGMlYB5lMNq9zrd9wM67zXgza9yp7pYkoDTFIExGlOJ/ow+sBQXer9zwmNFvnfb6lS1ZjmdsDpThVGvLnCycX1EYiomTEIE1ElOKO2i/B7p6Qtm/w9EO16pYFnXMo82pcG9Ar/ecL1gWdj4goGTFIExGluOllFzd4+7Hx6jsXdE6xtBKV3ql5qQ8MnsNwQFgnIkoHDNJERCnuxf4e6fc80YVcTyZWL1u9oHOu0L0LFZ6plRJ9EFknTURph0E6SiorK1FWVobdu3fHuylERBJRFPH8+RPS9k2esxjKuW7B5732mjtwredS0D7WSRNRotm9ezfKyspQWVkZk/NnxOSsaaizsxMqlSrezSAiCnLcMYC+gKnpbvGchXLp/Qs+b25OHhxYjY3eARxTlAAAXgro+SYiSgT19fWor6+Hw+GAWj2/Rahmwh5pIqIUtu/88aDtWzy9WL3hjqice0Slx02eqTrpVy+eZp00EaUVBmkiohQWWNZR6BvHSs8ort58W1TOrV59C27zTM1P7RF9eLGfs3cQUfpgkCYiSlE+0YcXAoL0zZ6zOJVxPZSZWVE5/+br7sVNnj5kBMwnbe47FpVzExElAwZpIqIU9abtPAadY9K2elyB8aXGqJ1/xbKrYPMtww3efmmf+RyDNBGlDwZpIqIU9fTZw0Hbv7n4Yay9+fNRvY0XV3wT7wyVS9uH7RdxdlSI6m0QESUqBmkiohT1RO8h6XfRmQOVvADlq6I7an3LNe/C2PCyoH1Pnz0S1dsgIkpUDNJERCnowvgw3rjUO7VjuBjv1hUjQxHdl/27dMWQTaggeqZmU338zDtRvQ0iokTFIE1ElIKePnsEIsSpHcPF2LahNOq3U5ibiYpVhcBwsbRv3/njGHE7o35bRESJhkGaiCgFPRlQ1iHzyoExFQwbS2JyW9s2lADDU+d2ej3o4KBDIkoDDNJERClmwuPGswHT0N3vPYKfLv0+NpXmx+T27tEVoEq0IEP0SftY3kFE6YBBmogoxTzTdxQjnqnSirs9J6EqXAGZTBaT27tVuwT/ovol3uU5Le17svcQPD7vDNciIkp+DNJERCmm7dSb0u+Zogd3u0+idON7Y3Z7mcpMnMy5DdvcU6saDjrH8EJ/T8xuk4goETBIExGlkHGPG388M1UffZfnFJQiUFHxvpjebt66+2H0WKEIKO/4rfVATG+TiCjeGKSJiFLI02ePBJV13O8+juOZNyM3VxXT2y2/6SGofU7c6pmacu93p9+C0+uJ6e0SEcUTgzQRUQppPXlA+j1L9ODd7lNQrH0w5rdbVLgUJxRb8ID7qLRPcI3jmb6jM1yLiCi5MUgTEaWIIecYHu+dmi3jLs8pZIo+3HTLhxfl9t2r3g+j24pMcaoX+jfW/Yty20RE8cAgTUSUIn578kBQKcUHXEdwPKMcJUVLFuX2K277BHJFD+7ynJL2/eHM2xhyji3K7RMRLTYGaSKiFPHI8U7p92LfGO7ynIJi7fsX7fZXLF2DY/Lr8UHXEWmf0+thrzQRpSwG6QCCIKC9vR06nS7eTSEimpN3hvrROTA10O8D7iMQRTluvP2Ti9uQtR/AXZ5TKPGNSrv+99gbi9sGIqJFwiB9mcViQWtrKwDAarVe4WgiosTyfwG90QDwkOsQjihvQVHh0kVtR8Vtn4BMBD7kPizt22/rw/7BvkVtBxHRYmCQvkyv16O2thZ6vT7eTSEimhOn14Nf9HRJ21s8/djosyFrw+IMMgy0pGQVjmTchGrXoaD9/3vs9UVvCxFRrDFIExElub0nD+DSxFQpxdmBLfjR6Edwxx0fjUt7lBs/hkxXBlZMTM1n/cseC4bdE3FpDxFRrGTEuwELIQgCTCYTNBoNGhsbIx5nNpvR0dEBnU4HQRAAAA0NDYvUSiKi2BFFEf9z6M9T214FBoc2wnHjvcjNyYtLm+6861NY/edVsI2fg2zV5MBDh3sCPz/ehfqy2+PSJiKiWEjKIG0ymWC1WlFZWQmz2QyDwRDx2Pb2duzduxdtbW3SPrPZDKPRiI6OjsVoLhFRzLx26TS6B89O7RhaBvgU+MyNq+PWppysTHy0fA3+5xU3RHcPZEo3AOC/D/8Zf331rZDL+GUoEaWGpHw1a2xsRFtbGxoaGqDRaCIeJwgCduzYgT179gTtNxgMsNlsaGlpiXFLiYhi638OvyL9LooAbCtxzdICVK7WxK1NAPC5G9cAohwYWiHtO+4YwJ/OcqVDIkodSRmkZ6u1tRVarTZs2N6+fTuam5sXv1FERFHSOyKg/eSbUztGigB3Dj5942rIZLL4NQzAlhUq3LhaA9hWQPRNteW/Dr0cv0YREUVZSgfptrY2FBUVhb1Mq9XCYrFINdNERMnmu2+/AI/ok7brXa/ijtzD+HRl/Mo6An32pjWQexVYPjr1VmM+dwzdA2dnuBYRUfJI6SDd1dUFrVYb9jL/fs4ZnT5G3E6cHB6EKIrxbgrRgl2aGMFPAqaUK/NexBcynsHfr+5EYW5mHFs25cM3rMDvl30Ze/CLoP3ffNMcpxYRRdeYxwUr31fSWkoHaUEQZqyhBkKDNHuoU9PZUQFljzVhffsufPGNx+PdHKIF+8E7L2Pc65a2/2qiCzIAm277+/g1apqCbCWcJe/C1b4B3O2eeq39/Zm38fbQ+Ti2jGjhbM4x3PD772JD+y586uXfxrs5FCcpHaRn4g/YNpsNwGSgbmpqgslkAgBUV1ejqalp1sHa4XAE/TidzitfiRbNv3Q/jb4xOwDgB4dehtvnjXOLiObP7hrH7iNTgwzXeYfwHk8PDsv1KEuw6eUqtn0BXlGOv3EGr7y46+BzcWoRUXR8/52X0DM8CAD4ZU83+kbtcW4RBXI6nSHZLBbSNkhPp9Vq0dDQgI6ODoiiOKtZQQKtXr0aarVa+tm1a1dsG0xz8mRv8CprXp8vwpFEie8/334RdtfU4ia1zm4oICJrS+L0RvtdtXozDmXdiRu8F3Cb+4y0v/XkARyzX4pjy4gW5uX+4G+0L4wPx6klFM6uXbuCctnq1bEZO5K2Qdrf0xxpMOJc9fb2wm63Sz87d+6MynkpOtzTgrNXZJCm5HRxfBjfe+claXu1z473u4/glG8t7nrX9ji2LLIVt05+0xfYK+0TRXxl/zPxahLRginliqBtt8hvOhPJzp07g3JZb29vTG4nbYN0tKlUqqCfrKyseDeJAkx/gfNyYAglqW8dfA6jHpe0/XcTryMTPjg3/Q0UisR8Sa+44W68I9PjRm8fKj190v7WkwfQNRCbNzeiWMuQB/9/m95hQ/GVlZUVks1iITFfdaNEq9VGnJXDXxsdaVYPSi3Ta6LZI03J6MzIEH505C/S9nrvIB50H8WArxh3G/8qji27Mk2lCTIADROvBO3f2fUkZzygpBTSI82xN2kppYO0Xq+POFjQH7D1ev0itojixTftjZo90pSM/s3yJ7gC3qy/OPEqFBBxYW09MjOz49iyK7v15vfjBDZjq7cf73GfkPY/d/4EnunjaoeUfBikCUjxIG00GiP2SPf09MBgMETttiorK1FWVobdu3dH7ZwUO+yRpmTz+qXT+EVPt7S9xdMPo8eKC74SbLv/i3Fs2ezI5XJkb20AAHxp4i9QBPwf3Nn1JAcAU9LJkE0v7WCQTkS7d+9GWVkZKisrY3L+lA7SNTU1sNlsYcN0e3s76urqonZbnZ2dOHToEOrr66N2ToodBmlKJj7Rh79/7fdB+7488TJkAC6s+zxysnPj0q65uu1dH8UxXA2tT8B219vS/oND59Fy7LU4toxo7kJ7pPm+kojq6+tx6NAhdHZ2XvngeUj6IC0IglTvPJ1Go8GePXukuaH92tvbodVqUVVVtRhNpATk4QseJZGfn+hGZ8CgvMrxS6jwnsd531Lce/8X4tiyuZHL5ci58WsAgM8730CeODVo8l+7n8aliZF4NY1ozpQhgw3ZI52OMuLdgPloampCZ2cnrFar9GM0GqHRaLB9+/aggFxVVQWNRgOTyQSdTifVTHd0dMSp9ZQI2CNNycLhmsCXu5+StkWfHG+ceQCfUGzEl+9aiaysxK6Nnu5dt7wff+i6FQfsGojja4Gl5wAAgmscO7uewk9ur4lvA4lmiTXSBCRpkG5oaJjT8QaDIar10JT8ONiQksXO7ieDF3q4tAbwZGGk9Hbcu+2O+DVsnmQyGVZ/8DF86L9eAeAD1HbIskcBAD87/gY+s+FG3Lp0bVzbSDQbDNIEpEBpR6LgYMPkwh5pSgYv91vx4yOvStuiKxsYnFyd65v3b4ZcLotX0xakfHURPrJ1JQA5cH590GV/8+qjcHk98WkY0RxMH2zoYpBOSBxsmCQ42DC5MEhTopvwuFH7SlvwznMbAVGO92wqxX2bl8SnYVHyjXs3IztDDoxpIApLpf1vDZ3Hf7xpjmPLiGZneo80PwAmJg42JIoBr4+lHZTYvvGmGcccl6Tt8jEbloyLUCpk+P77r4VMlpy90X7rinPxz3dvmNzoXwdlQGferoPPwTJwNj4NI5qlTEVwkHb6GKTTEYM0pSX2SFMie/3SaTS99by0XeobRYu7DeZln8e3yy9i05L8OLYuehrercO7Smz438Jv4zvOp6X9XtGHz/x5L3v4KKFNL+1welnakY4YpCktcbAhJaph9wQ+8eKvgz7sfWX8BajhxAjy8fC9H4xj66IrW6nAv98sw53Z+/Fe93Hc6z4uXfbW0Hn8+wHOrkSJa/qKueyRTk8M0pSW2CNNieofXv8DeoYHpe0HXUdwr6cHAODY8k2oVYXxalpM3HHnJ/BWxrsAAF8bfwGFvnHpsm8dfA7Pnz8R6apEceXDtCDNb1DSEoM0pSUGaUpE7afexP8dnxoQs9LnwFfHXwAAHFTeAeO2h+PUstiRyWS4/gPNGPblolgcx7+PT5W0iBDxyZd+zYVaKCGF9EgzSKclBuko4fR3yYWlHZRorMODqHulXdqWiz58Z+xZqODCiC8XlR9qSfoBhpFctWo9enVfBgDc5zkRtHz4uTEHPv3ybyHy/ywlGJZ2JAdOf5ckOP1dcmGPNCWScY8b1c89AsE1Vdbw184uVHonV/3r3fhVrFiujVfzFsV9D/wjjspvAAD86/hLWO+dKm95+uwRfPftF+LTMKIIQnukOdgwEXH6O6IY8PoYpCkxiKKI+lcfxQHbOWlfuecc/tb5BgDgTcXtuPf+v4tX8xaNXC7Hpvf/H0Z8OciBBz8YexpZ4lQP387up2A+dyyOLSQKNr1Dhh006YlBmtISSzsoUew59joeOdElbZf4RvGDsaehhA82nxo31TwCuTw9XqrXXVWG0xu/DgDY6LPh38ZflC7ziSI+8sIvcTJgICZRPE3vkfawgyYtpcerM6W1cL3PHpFfwVH8vdjfg7977XfStkL04QdjT2OpOAoAGNF/B8uXro5X8+Li/vv/FgcyjQCA7e53guqlbc4xPPTcIxjzuOLVPCLJ9Fk7POyRTksM0pTy3L7Q0MweaYq3Y/ZLeGjf/wX9ff7deCduvFwXvT9/O+68K/Vm6bgSuVyOuz76CPp9k0ug/9v4i9jqOS9d/qbtHB5+6TfwMbRQnE3vkQ73XkOpj0GaUp4rXJDmV3AURzbnGB40/xRDAYMLRWEJWs98Am+5dDghbsC9H2+OYwvjq1BTgow7fwKPKIcoKlB6bhngzpQuf+z0W/inzifi2EIilnbQJAbpKOH0d4krbJBmjzTFidPrQdVz/4fjjgFpnziqAs5twlnvcnzO0Yh1Dz2O3OzcOLYy/irL78X+Nf+O6ov/gWeG74LYew0gTr1lff+dl/CDd16OYwsp3U0fXMiSwcQU6+nvMmJy1jTU2dkJlUoV72ZQGOFLO9hzQIvP4/Pi4y/+Ci/2W6V9MlcOxN5rpZD4k4/ciPVrlsWriQml+kP/hEdHu3Ho4HlgXAWxdzNkqw8Bl6fT/uIbj2NVngYfWntdfBtKaYk90smhvr4e9fX1cDgcUKvVUT8/e6Qp5bnCTJLPIE2LTRRF/NVfHsVjp9+S9il8CvhOXwt4lQCAf757PR68hiHaTyaT4afbb8B1ywsmdwyXQuzXSZeLEPHxl37FafEoLqYPNuT7SnpikKaU5wozST5LO2gxiaKIf+r8I352/A1pX6boxQ9H/oibZJO90/dtXoKv37s5Xk1MWPlZGXjs4UpociY/bGgENe4bOy1d7vR68MF9P8OfL5yMVxMpTbFHmgAGaUoD7jB1a+w5oMX0jTc78L13XpK2FaIPPxx7AtvEE3ik5N/xVyss+M3H9VDIU3MJ8IXSleThNx/XQ6s8j/bSnfi++3G8z3VUunzM48b7On6CroHeOLaS0k1IkOb7SlpikKaUF75Hmi94FHuiKOKr+5/BV/c/K+2TiSK+O/4M7vJM9qqOiPkwVddAla2MVzOTwns2LcH3bx3DOuV5KCDi2+MduNs9VWs+7Hbi3mdacGCwL46tpHQSMtiQ09+lJQZpSnmcR5riQRRF/KvlaXz9QEfQ/q9NPI/3uY8DAMZ82cC2Nly1+up4NDHpvO+Bf8CBos8BAJTw4b/Hnsat7qle6CHXOLb96cd4/dLpSKcgiprQeaTZQZOOGKQp5XEeaVpsoijC1PUEvnXwuaD9/zb+Aj56eaU+t6jAxYqfQH/9XXFoYfJ6/8f/G29mvQcAkAUvmsf+CL17asEWwTWOe/7Ugpf6e+LVREoTLO0ggEE6ajiPdOIKV8bBVdEoVrw+H/72tcfw3bdfDNr/7+PP4ZOug9L2yc3fxrvvqFns5iU9uVyB+z7TjoOKWwEAOfDgZ2O/R3lAmB7xOHH/sz/BM31HI52GaMFClghnaUdCivU80gzSUdLZ2YlDhw6hvr4+3k2haab3GgAs7aDYmPC4sf2FX+DHR16V9skAfHPMLPVEA8A7q3biPff9bRxamBqysrJg+OwTOCTbCgDIgxuPjD2GW9xT9dHjXjfeb/5f/LrHEq9mUopjj3RyqK+vx6FDh9DZ2RmT8zNIU8oLF5o52JCibcg5hnufbcHvAuaJlgNoHHsWNe5D0r7u0r/H+6q+FocWppa83Hzc/umncQKbAADZ8OInY7/HXa6p+mi3z4tPvPRrNB58DiI/PFOUhQ425PtKOmKQppQXvkeaL3gUPWdGhnDXUz/EywFzGSsB/HD0j/iQ+4i0r7vkb/HQR5vi0MLUpFYVYesnn4VVnFykJQte/Hj8cdzvPBF03Je7n8LfvvYYx0ZQVLFHmgAGaUoD4UIzew4oWv5y4RRu+uN/4W2hX9qXI8tC1qkNWDvukvYdKK1H1cf/EzIZ54qOppKi5bj+k8/jhLgRAJABEY3jZqy15wQd9+Mjr+KDz/0MDtdEPJpJKYgLshDAIE1pIFyQZo00RcP/He/Etj/9CBcnRqR9+bI8jB27DsOjK/CpgX9Dn6cEB5fU44Mf+14cW5raSoqXoeLTL+AYyuAUM/A3Aw04efZGZF7cBDmmPrg82XsYtz7xAxy3X4pjaylVhPZIc7BhOmKQppTH0g6KNo/Piy+98Tg+++e9QdMralCI4SPXAa48AMB5bwk6b3gC7/8oQ3SsFWpKcPNnnsf3lN/BS87JQYjOS8sg9l6DTFmGdNxh+0Xc/MQP8KezRyKdimhWps/awXmk0xODNKU8DjakaLowPoz7n/0Jvh+w5DcAbHBnYejQNYAnCwCgkMvw05rr8QWDPh7NTEtqVSG+V1uL+zYvkfb5HMVwntgCtXyq1ENwjeMB80/RxEGItAAcbEgAgzSlAU5/R9HyYn8P9H/4T+w7f1zaJwNQN/4m/jD6n7glc3J2juwMOR57uAKfvnFNnFqavnIzM/D7T1fi0zeulvaVujz42cCvcbVvXNrnE0Xs7H4K79/3vxicGI1HUynJTf8QxtKO9MQgTSkvfI00ew5o9nyiD7ve3AfDn36M/vFhaX+OTI7/HHkW/+R6EZkyL3YXfxs35F2A+a9uwQPXLItji9ObUiHHT6qvx1fu2Yg82Th+UvIf2KLoxaPDP8X7nL1Bxz7Zexj6P/wnXgmYcYVoNjjYkAAG6ajhyoaJK2yQ5gsezdK5MTvuf/Yn+FfL00FvnFfJgN/bH8ED3qlaWzuK8NuHb8ata4vi0VQKIJPJ8JV7NuEXBic2Kc8AADLhw/cnfocvj76KLNnU29/ZMTve/fSP8K2D+7jqKc1auOnvWCqUeGK9smHGlQ+h2ejs7IRKpYp3MygMlnbQfLWfehN//ZdHYXOOBe03egbwvdG9yMbUV7mH5eW46eE/oLhwyfTTUBx94D2fwF/UamT/5TMolDsAAJ/xdKLSfgafL/wYzno9ACY/cP9L99Po6DuGn96+HWsL+GGIZjZ9sCEw+X6j4BSXCaW+vh719fVwOBxQq9VRPz97pCnlcbAhzZXdNY6HX/oNtj//i6AQnS1XYOfoG/jR6K+DQvT+vCoY/uoFhugEdevND6LwoT9LC7cAwHXiBTxp+2/c6RsOOvaF/h7c8Ifv4qfHXmfvIs0o3DebXJQl/TBIU8oL91Ute6Qpkmf7juKG338Xv+zpDtq/PkOJ3wq/xmc9r0n7JsRMvK1rwgc/9ytkZmYtdlNpDtZdtRk37ngdb2Zuk/blwY2fDv8MptFu5MinvqAddjtR+0obHjT/L86POeLRXEoC4XqkPT4OOEw3DNKU8tgjTbMxODGKT730G9z37B6cGRWk/XLIUO2+iD8Ofg/Xihek/ed8yzBheBoPPPAPXK0wSRTkq/DgXz2JA8u+AK849fa3w/MKHhV+jrIMZdDxT509jOt+923877E32DtNIcKVDXIu6fTDIE0pj7N20ExEUcRvrPtxze+a8ItpvdArsjX4sG0Eu8Z+CyWm/mbeUdyETQ+/ga3XvWuxm0sLJJfL8cEPN2Lgtkdx0Vcs7d8oDuB3g/+JB71Aplwh7R9yjWPHK63Y9qcf4aj9YjyaTAkqXJBmaUf6YZCmlMfBhhTJCccAHjD/FB9/8Ve4FDCXsAwy6HOvxrn912Lv+XtgcW4EALjEDOxf9o+4729eQEkxp7dLZjff+F6s+2QX3lbcIu0b8qrw0rGtKOi7CdrcpUHHv9hvxQ2//y6+tv8ZOC8PUKT0FjZIs7Qj7TBIU8oLXyPNXoN0Nup24l+7n8Z1v/s2np62VPTa3BJcJdyC7s4lEH0KeJCBL9r+Hsd8GzB699P40Ie/CYVCEeHMlEyWlKzE/X/zPA6uMMElZuDLQ3+NIZ8KAzYlejo3Qp+xFTmKqXIPl8+Lfz/QgRt+/1081Xs4ji2nRBDufYQ90umH099Rygvfa8AXu3QkiiL2njyAhs4n0DdmD7pMKZfjAdGDJ7u1mPAF18oay2/ErQ8eQEF28H5KfgqFHO+v+TosR6px7vFBYGLk8iVydL+pwrKim3DN+nfQNTokXeeY4xIeMP8U967cjO/e+CA2azhbSzriewsB7JGmNMDBhgQA3QNnse1PP8LHXvxVSIjW56qxZ+hPaBL+B/9Q0CrtL83LRNsny/GTmusZolOcfvMWdH/hDnzpTh0Cx47eMvEyfnPua/iiqxclmTlB1/lT3xFc//vv4Iuv/wGCcxyUXsLN2iGG2UepjUGaUl74wYZ8sUsXPY4BfOSFX+LGP34fL/Zbgy5bnp2PL7rPYe/5r+N2TJZ4fCb/CdyQeQwf3boS7zTchYe2rIhHsykOspUKfPuBMrz0N7dhfUkeNPJh7FQ/AhmAvxn/HR692IwHMjOhCFgV0SP68F+HXsbGR3fh+++8hAmPO353gBZVuB7pcPsotTFIU8oLP9iQPdKp7uL4MP7utd+h7LEmtJ48EHRZljwD1VlZePT8/+BvxtoROHmdTdTg2/etxS8/pkdJHueGTke3rSvC/i/cga9ffx4a+Yi0f6VMwPcufQc/dLyMW1SlQdcZdI7hS288js2PNeJ/j73BQWdpgEGaAAZpSgNhe6RZx5ayhpxj+Or+Z7Ch/VvYffiVkME/d6lK0SJ0YNfFb2OJPHixjf2578f6z7yFbe96aDGbTAkoLysD9R/7Ehx3P4secUPQZdt83fh57//DTk8/1uYGLzncOypgxyutuP7338Wjpw5y/ukUxm87CeBgQ0oD4erY+GKXegYnRvFfh17Gfx/6MxzuiZDLK9VLUHXhz3jI/oOQy6yiDqo7/wsf0t+zGE2lJKK//g64yw7g6cf/A9rT/4k8+eTflgzAZ0db8dBILn5U8jn8QZGLgYDl5I/YL6Lm+Z9ja9FKfPl6Az5w1TWQy9h3lUrC9kiDnTTphv+ro6SyshJlZWXYvXt3vJtC03h9LO1IZQMTo/iX7qegbfsm/uNNc0iIvlq1BF8W7Xjk9FfwkPNPQZcN+3Lx9uov446/fROVDNEUgVKpxIMPfRWaD1vwpnJb0GUa2Rh2Dv4Av+7/OT5ZUIQCZXA50H5bH6qffwQ3/P67+I11P78NSyHhOmlY2pF4du/ejbKyMlRWVsbk/OyRjpLOzk6oVKp4N4PC4MqGqensqIAfHHoZPz7yKkY9rpDL1+YX4cbs6/GnN2TYmv8IMrOmalZ9ogxv5tyPWz7wPWxZtnYRW03JbNWK9VhV/zT+8vqTGPtLA3Sy49JlWvk57Dj1AxxS/gxrNjvwZP9+OH1TC7e8I1zAx1/8Fb62/xmYttyNj+vKoZRzPvJkxhrp5FBfX4/6+no4HA6o1eorX2GO2CNNKY+lHall/2AfPvHir6Fr+ya++/aLISFaV1CMjy29GxOHy7H3RR/s41580/4p6fJDMj0cBjM+9Fe/w3KGaJqHW296L+76u4M4pNuFAV+htP+/h2vQ2evBox25uGHUgIdWViBbEdxfddwxgM/9uRW6tm/i2289j6GAchBKLgzSBLBHmtJAuK9Sw612SInLJ/rwp7NH8b13XsRz50+EPWajqgTv9TrxzJH1+KXgBTDVA21xbUa7pwoVFffhvjs+BrmcfQi0MBkKBd77wJdgd3wG+37/ZeRc2IdHR98tXf6adRyw5sGwyYiVK4/h0cHeoA99fWN2/HPXk/j6gQ58esON+Luy26FTlcTjrtA8jXtDpzpkkE4/DNKU8sL3SDNIJwOHawK/6unGD4/8BYeEC2GPuUa9FPd7RvHe0z/EKnk/ssQH8Q4eli4vzcvEV+7ZhB03vxdKBQM0RZdaVYgPffJHOGMbwaf29eBnnb1B4zI0vX/Ev43+EO+R3wyztgqPCRdhD6jjH/W48D+H/4zdh1/Bg2uuwefLbsddy3SQBa4KQwlHFEXYXaGDmsO931BqY5CmlBeuR5qlHYntTds5/PjIX/CrHkvY+mcAePeSdbjD0Yv7Tn0HJfIhqVDt4/l/wk+HH4A3eyn+6d3rUX/rWuRl8aWOYmtNUT5aqq/HP92lw9eePYbfHOiDUnTj71WTK2Xe5HsNN514De+VbcFz6z6OJyZGcGZUkK4vQsQfzryNP5x5G5vUpajddAs+ub4CRVm5cbpHNJMxjytshwx7pNMP310o5YVdIpwj5xPOhMeNtlMH0XzkL3j10umwxyjlCnxwxSbceG4/7j76r1DJR0NGerhEJb55qw/V9xpQkM2XOFpcG0rz8cuP6WG6ez1++8efYMXYQNDlN4gHcYO1AQ+K6/HSus+gQ56BzsGzQccctV/Cl954HP/S/RRq1t2Auk234KbSNeylTiD2MFNsAgzS6YjvMpTywn3VNn2RDooPURTRNdCLR0504bfW/RhyjYc9bkl2Pj5QvAo3nnoWt7z9P8iSuUMCtOArwKmlD+Ou9+7E9ZrSsOchWizXLVfhutov4q1Dt+DEi/+B6ybMUMimXnfWy05g/akv435fKV5e9nG8UqzD0+dPBPVyTng9+PmJLvz8RBe2FC7Hwxsq8RHtVizNKYjHXaIA4co6AAbpdMQgTSkvXO/zsNsZh5aQ3/kxB37V041HTnRFrH0GgHct1eJ2eQ5uPNaC6y50T+6c1il30VeM/tU78O57v4StBdGf2ohoIa4ruwXXlT2BY9aDeNP8DVw7+gQyZVPT4i2TX0L1xe/hfRey8EDBg3hL+x787tJp9I3Zg85zcOg8vvTG42jofAL3rtqEh9dX4n2ry5Cl4Nt4PEQM0qyRTjv8H0gpL9wLmxCh55NiZ8TtxB97D+FXPd14pu9oxJ4blTIbNVfdANX4VXisy4F9o2/gs6XdIcf1iSsxvL4ed99Tj6ysnFg3n2hBNmq3YGNtK06fPY6uZ/8Dm+2PIlc29YE+R+bEtpE27HuxGNet+Qge3uxF18ghPHvuWNB5vKIPT/YexpO9h1GYmYMPa7fi47pyln4sssilHfy2M90wSFPKCzcghEF6cYx73Hjq7GG0njyAJ3sPh50uyu9dS9fhdpUOZ/qK8aunLmHM3Q8AOIlrcMi1FmWZpwAA78i2InfL53HnHR+BQsEFLSi5XLVqA676zP9hcKgRLz/7X1ja9wiWyS8BAGzeAvx+9A44Dw/g6cPAas06fF6vh1fdh8fPHsTZab3UQ65x/OjIX/CjI3/BVfmFqF57ParXXY/y4lUM1TFmj/AewtKO9MMgTSkv3BLhE14Pxj1u5GQo49Ci1Ob0evBM31G0njyAP545hBFP5DKatfmFeGjFJuj63sTmo9/DK6Ob8Evhr6YdJcPPxj6Ij6pPQHvbF/G+a2+L7R0gWgTFhUvxge3fhMv9Vbzw/CPwHfoR9o1uhBNTS4z3ChP4wXPnUVvwOH5QfAIndNXYn63B73vfCflQenpkCN95+wV85+0XoCsoRvW661G99npcX7SCoToGBNZI02UM0pTyItWs9QwP4NrC5YvcmtQ05BzDU2eP4PEzb+OZvqMz1qDnZ2Th/avLUOl0YE3PY9h89j8ma0ZlQFHuReyyP4xRcbJUY5U6G39161rsuOkelOZnRTwnUbLKVGbinnt2APfsQOHJSzj3l160HzwHt3fydUsGHz6c14GrPP3YcvRV3OErwn3FH8Tp9e9Gx/AAXrpgDTlnz/AgvnXwOXzr4HPYoCrBg2uuwYNrrsUtpVdBwcWIouLk8GDY/ayRTj8M0pTyIi2+cki4wCC9AGdGhvD4mXfw+Jl38GJ/z4wzoeQolHjvqqtxU0YmVpx4GhstzSiUOyYvDOgsy5dP4MHclzG48mP43E1r8IFrlyGDi6hQmrhpXSl+ta4U33//Nfh511nsef00ih2v4aqMfumYErkNJUM/xa3dP8WN2IiPr/ggeleX408Dp9E50BtyzuOOAXz37Rfx3bdfRElWHt67+mo8uOZaGFdsQJ6SH07n64j9Ytj97JFOPwzSlPIivbAdnmG2CArl9nnx2sXTeKbvKJ4+exgHbOdmPD5TrsC9qzbj3fnFKO15CcsOfANr5acmLwyTjS/5itG3pArfeOjzWLd6Y/TvAFGSKM3Pwpfu0uGLd2rx6ptZOPDqfbh6wjw57WMAHY5Bd64R3j45KjMqMLjuIZxetgl/6DuK/ba+kPMOOEfxyIkuPHKiC9mKDGxbsQH3rdyMe1Zu4vLkc3TMfinsfgbp9MMgTSkvUo/0YSF8jwJNOTVswzN9R/FM31E8f/4EHBFGqvvlZ2ThPas24bbiDRgZVEM8+GM8IP548sIw4dkpKnE4810ouu5h3HZrFW5kzTqRRCaT4dYbbgNu+AMu2frxynPNUPX+ButkweUcCpkPZd43gBNvoOJ4FtT59Xh4y6dhU57Dn/oO4Y0wPdUTXo80+wcA6AqKcc/KTbhn5Sa8e7kOBcrsRbmPycjp9eC4YyDsZZHebyh1MUhTyou0HDh7pEMNTozipQtWvHC+Bx3njuJohF6XQMtzVHhgTRluUq/H+Qs5+MPBi2jvHQAwgC3KtfjY0tDrHMM1cF21HTff+Sl8sGhZ9O8IUYopLVqGD1R9BcBX8PahV3HsjZ9hhe0JLJUHB7ocmRPPnJHh6aNW5CjluH/zbXj42gK4cwbwzPnDeO78CTi9npDz9wwPSjOAKOUK3LrkKhhXbMJdy3WoKFkNpZwz5PgdtV+MGJjZI51+GKQp5UV6YTvquASX14PMNF7QYMg5hhf7rXixvwcvnD+Bg0PnZ3W964tW4N6Vm3Cd14uc42ao3/hXfGNgO56fqAg67qB7Pc54lmBNxkWc9a2Ebcn7cM2tn8N7tNfH4u4QpYVry27BtWW3wOP14vXOJ9D/5i+wYdSMAvkYJsRMvDixFQAw7vbh0bfO49G3zmNT1nl8Z/mv8LmrHoSwthIvDPXhmb6juDgxEnJ+t897+XVhsuc7LyMTty5Zi7uW63DnMgbrmV4nGaTTT/omiCirrKyEQqFAfX096uvr490cChCp58Dt86Lj3DG8d3XZIrcoPkRRRO+ogFcvnsarF0/h5QtWvGk7D3EWo8yLs3JhXLkJdy/RovjiKYgnnsTynu9iqXyqx9qY80ZIkF6tycH+Vf+G/Ks347brboecMwYQRU2GQoHbbn4/cPP7MTo2glf+/BscO3kIYkYe4A5+3duW+QrKPK8CPa/Ce0KOZfJr8OCSbfBeZ8AJZQY6zh3DKxdOhR00POpxoePcMXRcXhwmN0OJW5esw53LtLhlyVpUlqxGfhoNXHz67JGIl3HWjsSze/du7N69G16vNybnl4kiPz4thMPhgFqtht1uh0qlindzKIyq5x7B706/BWCyDvDMqAC3b/I/1Ee0W/HLOz8Wz+bFjNPrwf7BPrx68RRevTQZns+NOWZ1XaVcgZtK1+CeFZuwNSsHOP5neHs7sNbZiXx5+IUIBr0q3Hz+J1hTmI+HtqxA9fXLUblawzlsiRbZqNODp49cxKNvnccThy5g1OXF40v+Eddkngx7fL9vCfpVdyJn/f0YWbUJL1w6g2f7jqInwhRv08llMmwpXI6bl1yFm0qvwi2lV2G9qiQl/+9fHB+Gtu2b0jze12iW4p2AMsHWd38SD63dEq/m0QxildfYI00pL7BHuigrF5s1S6QBNntPHoDpurtxXVFyT4Pn9nlxSLiA7oGzsAxO/uwf7IPLN7tP4BkyOW4sXYO7lulwS+k6+BxKuDu/ieKj38Nq2ZmpAyN0KJ/0rYWt1IjXPlSJ8rVcAIIonvKyMlB1/QpUXb8C424vnjncB9dfymAfuwS1PLSUY5n8IpaNtAEH2jC+PxPZGXq8Z/ldyL19B87LhqXyr0jB2ieKOGA7hwO2c/jxkVcBTH6LdVPpVagsWY0bildCX7wSK3PVSf/a8D+HXwlaDOcT6yvwz11PStss7Ug/DNKU8gKDtEImx9+X3SEFaZ8o4h9e/z2eeU8tMpKk5m/M48Jh4WJQYD44dD7sAKJIMuUKlBevwp3LdbhjqRaFYgle7rGjo/sSvmvtwYTHiz8vexLLM2xhr+8V5TguvxbO5ffh6ortuFt7bbTuHhFFUY5SgQ9sWQNs+R0mnBPo7noSF44+jqXC81gh7w89XubCNd7XMNFrwdbXrkdRQQEMG9bjXzbcgrJVShwbO4cX+3vw4vkenBgOP3MFAAw6x/DU2cN46uxhaV9pdh62Fq+CvnglthavxNailVhXUAS5LDlKvo7aL+L777wkbW9UleIDa65lkE5zDNKU8gJf2BQyGbat2ID3rS7DE72HAAAv9Pfgc39uxZ7baxJqAI3T68Ex+yW8LfTj0FD/5X8voGd4cFZ1zYFW5Kpwy5K1uKX0KmxRr4Li0jkM9TwH+at/wNsjufingR3TriHDSxN6bM83S3uGfAU4nX0z8ta9B/qbqnBf0Yoo3EsiWizZWdm47baHgNsegs/nw/Ge/Ti6/zEoz3dgve8gMmRTnQ6dzqvhQib6h534paUPv7RMzkv9pWXP4R7NID6w+g6orn8AA0of3hjoxWuXTqFzoBdjHnekm8eliVE823cUz/YdlfblZWSiTLMUZZqluEazDGWFk7+vyStMqN7rY/ZLuP/ZPRj1uKR9DVveHfKewRrp9MMgTSkvcPo7+eUX5u9UPoDnzh+XXvR/0dONI/aL+O6ND+K2pesWrW0enxdnRgWccAygxzGAE8ODOO64hBOOAZxwDM5rTtK8jEzcULQC+uJVKC9eg3yPGvYzRzBqfQX5lp9DhTdRorDjqsvHr1CqAXwOQUsMAnjeqYc+vw8jJXdhZdkD2HrdndArOc8zUSqQy+XYtKEcmzaUA/gP2IRL6H7jMQxbn8GKsdfwykT4Ot/bfX/ClpEe4PBvgcPAhGc11mduxdrSW1C/sQpZpWqcnujH6wNn8MalMxHnW/Yb9bjQOdAbsipjfkYWyjRLsF5VivWqYuhUJdAVFGO9qgQlWXmLFrInPG60HH0NXz3wDOyuqXn071qmw8PrK3B21B50PHuk0w+DNKW84B7pya8QN6hLsfeuT+ID+34mhdXOgV7c8dRubClcjvdfdS3uXKbDDUUrUJiVO6/bdfu8sDnH0D8+jLOjAs6O2tE3ZkfvqIC+UTvOjA7h1MiQNPBxPgqUWZe/Jl2FLZoVyPVpYLs4gYunX4Pi6BMQXQehyzyKAv8AwTAd7iUKOzZk9OK4Zw1Wa7Jxz6YluGdjKbZteA+Kcr8x77YRUfIo0pTCeE8dgDr4fD6oLwi4tseOfccv4fkTgxh2eqCWDeNaZfBiMLqMXuh8vcCFx4ELwGnPMni912KDqgLXr7gJK/VlyMp3onfiEvbb+rB/sA+HhAtX7CQY8TjxxkBv2MVkVMps6AqKsSa/ECtzVViVp8GKXLX0+/LcAuRnZM0rbIuiiNMjQ3j90hmYzx3Do6cPBgVoALhavQRtdz8MuUwudc74MUinHwZpSnm+gBfswBe9+1dfjSeMn8WHX/hF0AvlwaHzODh0Hl9HBwCgJCsPy3NVWJZTAHVmNjLlGchUKKCQyeHyejBx+Wfc64bgGsPgxBgGnWNXXAVwLhQyOTaqSlBWuAzXapbhavVSZHkLcGFQAUufHS8fFbD7/AW4vOfx+yUNuCezZ3Jg4BUWJxv0aXA250b8i2EjbtpyCzaWLl5PDxElJrlcjquXF+Hq5UX4/O3r4PH60Nkr4I23X8eJnmuwzncESln4MRlXZfTjqox+wGkGTgI9x1bgngv/jWUFWdCvXIcHVt2Af96ai9z8CZx3D+CwcBGHhAt4R+hH//jwrNrncE9MhvIwy6D7ZcjkKMzKQWFmLoqycqHJzEFOhhJKuQKZcoVUkjHqcWHU48So2yV1dEzMMN7krmU6/Pbdn0DR5Q6W0CDNlQ3TDYM0pTxvUJAOHtRyz8pNOPiBf0RD5xNoPflm2NrjAecoBpyjeGuWi5UsRF5GJtZf/gpzk3oJrilchs2qJZC7cvHmuREcOm3Fxbdex4jjTShFJ3bZHw45x37XRlyX2RP2/MNQY7CgEpkr78RVV9+L8jVbUMHgTEQzyFDIccvaItyy9j4A98E5MYLjR17EhRPPQ3HpL1g2cRBZMlfY6/Z4VgEA+oedeOrIRTx15CIAYHteBwoyZRCLrkfFyhvx2c1LsK5UiQn5MA7ZL+CQcAFH7BdhdQzi9OjQnHt6PaIPlyZGcWlidEH33a8kKw87r9+G+qtvC6qLVkx7Twk3DzelNgZpSnke39QLmzLMgiCr8jT49V0fx9e2vgc/P9GFx8+8g7eF0NHs0aCUK6SvH1fmqqEtKIZOVYwNqlKsLyhGvjwH71wYwVv9Dpw4dRovv/oSXhPewib5MWzJPIF3ZVyuN8wHxnxZaLJ/HN5p9Rrdzs34ZP7TAABBuRbekhtRsu4OrFh/J5SFG9njTEQLkpWdj2tveC+uveG9AADR68Jw3xs4fcSMsbMvQz3cjSxxDMDkB/twPpf/OLTKc4ATcPcocPzIajzv1uKEbwO8hVtQtHIrPrGmAvrrNVhXlIW+cTtODA+gxzGInuFB9AwPoO9yuVy0wvJ0SrkCdy3T4SParXho7Zawi85kTAvSXpZ2pB0GaUp5gT0EGbLIs3JsUJfi6+X34evl96F/zIH9tj68ZTuPs2N2nB9z4ML4MEY9Lrh8Xri8XnhEL7IUGchWKJGtyECWPAOqzGwUZ+WiOCsPxdm5KMrKQ2l2HlbnabAqV40lOfmQy+Tw+kScGBjFW+cdeMs6jD+eH0DOhd9ipetNXJ1xEtdmnsI2xdBkw/LDtzdX7oQu4yzOKbQoX6lBxWoNKlarUVFyPZZM3IrsFbdiXW5pNB9KIqIQMkUmVGtux3VrbgcAiD4v3LbDsPe+ik/KrsVmx1Ls77PDctaOwxeHoZINT4boy5QyL8oyT6Es8xSA5wAP4DklR8+JVXjapcUxrw5O1bVQLL8N1y5bjvuXb8K1VxdgWcFkHbTT68G5MTv6xhw4Oyrg4vgIhlxjGHKOw3b53yHnGCa8Hrh9XrhFLzy+yfk18jIykZeRidwMJZbkFOCqvEKsyddga/FK3FC0ElmKmWNSxrTOGe8CxrxQcmKQppQX2CM9/UUvkmW5KtyXq8J9q65e0G2LooiLIy68dd6Blw9dwok+C/ou9KLjQhHGpy3h+7OS3+GOggOzOy9kGM/R4Q8f34ANZfdALp/ey7xmQe0mIpovmVyBzJJrUVpyLUoB3Bpw2ZjLg0OHXoLrZTUyvfZIp0CGzIdNyjPYpDwD4AUcdl2F93UGv64V5ypx+zI31i5bgatXlOC6ZWq8d8VqFGQvXrSZ3iPN0o70wyBNKS+4Rzo2E/9PuL04MTCKo5dGcPTSKM7098E5eAhKx1GsxClsyOjFbcqz+IBCwHH3Kjzu/q+QcxxyrcUd2QfCnz9zBRRLKlCy5ibkLK9E1hI95Flckp6IkktuZgYqbrgb4vUX4bFb4bxowXi/BUNnO4HBN6GMEK6Puq8K2Tc45sYHHF/Hrc6DONmzAt3uNfiNew3sWVpkF22GZtlmaEs1WF+Sh/XFeVityQnT6bAw0xfyCuy4ofTAIE0pzxPwVdtse6TD8flE9DkmcPTiCI5dmgzNxy6NIHfgz1A5T2Btxjmsz+iDQdmLUoUweaUwZRlrM85DCTfcmJyTWS4DNpTkQVW0Fb7RP8KZtx7ZS65H0Uo9spbcgMzSLVDklMy73UREiUYmk0Gp0UGp0SF/YzVKMfkNnsdxGq6LFoz3d2Oorxu+gQPI9NjgVV+NJe5MXBwJHtS4UXkGGTIfNijPYoPyLN6Lv0xeMAZ4e+ToPboEPZ6V2OdZidO+1XDnrQdKKrFhaQE2luRj05J8bCzNQ1Fu5rzuB3ukiUGaUp5n2hLhMx7r9aHPPoGTtrHJn8FRnLt4FuODR9Ez5MEb47qQ6/xp6Q+xIefsrNujlHnx/25WYOWa67FlhQplSwuQo1TA57kVwBcgz7jCnHVERClIJpNBqV4LpXot8jZ8CCWYDNfe0fP4giIT/5hTgksjTrx1fhhv9ztwoq8Xy/ptEc+nkPmwVtmPtcp+bEM3AGDUl40tb/8SePtC0LH6govYXCRDfslGrFu6DJuW5EFblIerCnOgzom8ENX06e/YI51+GKQp5QW+sClkcpx3BARl2xh6BwWMDlrhdZxE1sRZrFRcwOqMC1iluIjyjAsokI8BcsCcW4E3xneGnP+UZzk2KCMHaY88Fx7VJuSVXgP1suugLC7Dl1fcCnlmQdBxDNBERMFkMhky8ldI26X5Wbh7Qxbu3lACn3spxk7+Cs5Lb8Fx/k24Bt5G5kToAi6BrJ6VmL6KKwB8SPEYPuLtAC4Ag+dUOO1ZBrNnGU57lmNAvgKevLXI1KxHSdEyrC3Ow9rCXKwtysHawlwoZHJpmlWPyMGG6YZBmlKKzyfi4ogTZwN6lS+MTC2M8ouus/i/P3RAJRvBnpJd2JZxEcsUl3s0sjHjAibrMs4FbednKbCpNB/ZORuB8U54FAWAegPyl1yD3NJroCwqQ2ZxGRQFqznlHBFRlMmVecjfWI38jdUovrzP5x6De+gY3ENH4Ro8guGLhzFhOwLF8AkoRBdceTpsXpKPnsFRuL1TU9VdlTE15WmxwoFihQP6rGPBN+gARoRsnDteirOeJfgbYQfOe0shuxqTC2ABeOrwBaiGrVhbmIt1RblX7NGm5CcTRU56uBAOhwNqtRp2ux0qFQd/xZLT48U5uxNn7ePos0+gzz6Bs8IoHEI/nI5eYLQPWa7zWCq/hOWKQSxXDGC5YhD3qj+MsYzJVznRtgI4vwFyePHOyo8iM8LqXOF4kYHnbjyIDUs02FSaj+WqyamXvGMXAcggzylhYCYiSkCizwvP8GlAFKHU6ODx+nDSNiaNd7n74N1Qe+e26NaN5/4Xgz41sPllyBSTPdJrhpT4ifc3OOstxTlPKfq8pXDIl0KWvwKZBauQq16F0sIirFRlY6U6Gysu/6vJUfL9I8ZildfYI01xJ4oi7BOey+F4HGcvh2T/dp99AmftExgYdeFaZQ8+lf8ElmcMolwxgPcqBpHlD8M5l3+mkcl8kLoLxMkXKh8UOOcpwVpl6MIrHnkufHlrkKleh/xiHbIK1yOjcAOUmg3Yoboq5MVOkbskio8GERFFm0yugFKtlbYzFHJsKM3HhtJ8vBdL4br2KbiHTsBjt2J08DhGBo7B5ziJzIk+yBBa9zzuy8Sgzx/Gpt4TVPIRaOXngubJloxM/jh6c9HvLcZ5bxEOeIvx6OhdeFu8DitUk8F6hToby1XZWF6QhRWXw/ZyVRZWqLJRkJXBwJ1gGKQpZsbdXlwYdqJ/2In+4Qn0O5zod0zA5rDB6eiDd6wfGOuH0nUJRTIbShVDWCIfwmrFEMoVQ6i6uEtaXtZPLR/BB/NemltDAl5zKlZp8NnbrsO6olysPl2DXDiQpdEiQ7UWGWotlOq1kOeU8oWKiCiNZBZfg8ziawAA6oD9otcFj+MU3IIVbnsPPPZTGBNOQeHyod1YiVO2Mfy/k69h4nJtdIFiArhCmbRKPgaVfAwblZP13K87r0HnmA89g2PoGZxcEbJANoonln4JAz4Njns1eNWrwSWfBsOyQviylkCeuxTZBcuQp16JJZpCLFdlYbkqG0vys7AkPxNFuZlQRHmqPwqPQTpAS0uL9HtPTw927twJjUYTvwYlENHrxtiYgEG7DUOOITiGbRgZETA6asfEhB2ucTvcE8MQXMDPxj6E/mEnHBNTZROfL2jFR/KfhUo2ihx5wPRFM9QlL1EMhQTp897i8AcH8Mhz4c1ZgYz8VcgrXAPFxUzAO9mj8G5dKeoq104euOk7c3kIiIgozcgUmVAWboSycGqpc/+70KbL/37nfCYmxp0AgOt0Oii9VRgfOgVx5AyUrotXvI0L3qKQfaWKIazKuIRVuBT+Sh4AQ5M/I75sDPo0eHFiK74mfG6y3TKgJDcTpfmZ+GD2PizNHENWdh6yc9TIydUgP18DVUERNKoiFKqKUKwphjIzl51I88AgfVl7ezs6OjrQ1tYGABAEAdu2bUN3d3ecWzZ/oihC9IzB57TD53JAdI3A5x6Bz+XAxJgdI6NDGB0VMDEq4EJeBXqybsHAqAuDYy4MjrowMOrC18dqoMYQsmRT4Vd1+SecS14Ndl56T8j+HLkTS/1LXs/SxvxhuEvVWKXJwQpVNlZpsrE6fyPcB66CIn8VcjRrkK1eg4yC1cgoWIWM/FVQFKyGPEsT9GLg/cWXAUy2fyHzSBMREU0XOJe0vHADVt3yz9K26HHCM3oO3pFz8IychXfkHFzDZzE61Avn8FmIo+fx6btuwm3OFTjvmMD5YSfO2SewfHx41refL59AvrwfhXLH1O2KwKVRFy6NuvDtJb/FZu8ZYByT4XuaCQB9ANyiAuPIxYQsD7ty/w/5eRoU5WWiOFeJkrxMrPEcxvKRPyMnV4O8PA0K8ouQk6uCXJkLWUYOZIosyJR5kCvzIMtUpc1MVAzSl+3atQt79uyRtjUaDYqKimA2m2EwGBatHaIoQvROQHQ64HMPw+ea/BFdDul3n2sYHqcdE2MOjF/9RQg+FYbGXRDGPRAm3MjpfwYVZ76MTN8o5Ff4jslfVvxbxwfxHUdByOXfWO5ElsIVsj+SPNl42P2jvjDFywHc8jx4s5ZCnrsUWaoVyFOvxI83fwhZyypDD77x+KzbAyzOyoZERJSeAjtops8jLcvIglK9Dkr1uqD9pQG/bw5zTtelYgx2H8P4cD/cI/3A+EVkuAYgR+QB8gNeTdj9WTL3le4CgMk1DpQYhgrDeOKYAz6MBl3+cP6T+DfN/wIARACOyz+ReGVKHFnzZQyv/RTU2RnQ5CihyVZCla1Axv6vIDMrF/KMbMgU2ZMBPDMf8kzVZAjPLJj8URZAlqWaPCZBe8sZpDHZ+2yxWKDVaoP2a7VatLW1zSpIe4b74PKcg+gehc81AtE92fvr3/a5RyC6hid7hHNXwVv293BMeDDs9MAx4YHD6caKA3+N4sFnIRdnP5PE/fs2hZQ/3JV9DreXzPTnHapAPhZ2/6gvG6WKsBeF8IkyyOQZ+PjWZSgtyMWygiwsU2VhWUE2Vo76oLyYj5xcDTLylkKRtwyKvOXIyF8ORd5yyJV5s7oNl9cDu3sCdtfkz5BrDEPOcdicYxhyjcHmHIPt8rbgmvzd6Z16PNkjTURE0RTYQdN68k10D5xFUVYuNFk5KMy8/JOVC01mDoqyclGYlYPCTP+/OVBnZkM+rZMns3QLlt/7k6B9ouiDb2II3rF+eMcuwjvaD+/YBUw4+jHiOIf3F92FreoKXBxx4tKoCxdHXBgYcUI1MLdFYkZ92fAh9I0/P0JHWSQK0Y1f7L+ItlcsQftzZeN4a+V/YS5nG82/Dr23PQVVthIFWRkoyMqAKjsDsmM/hXfgAOTKfMgy8yBXFkCemQ+ZMl8K5pPhvACeidgE8aQO0oIgwGQyQaPRoLGxMeJxZrMZHR0d0Ol0EAQBANDQ0CBdbrVaASCkHlqj0cBiCf4DiOTsL7agIHt2T9J+5wZUtZeF7P9BkYD35s4+RANArmwiZN+wb3ah1G/yP81k2xVymfQ1TkleJt6Wfwh9yglkZKmQma1CTo4auXlq5OcXQl1QCE2BBqr8QmRkqyFT5kImk+PnYW5DFB/EuPc+jLidsHtcsLsmILjGYbdPwH7pEByXw7HgGp8MyZe3Ha5x2N0TEFwTsLvGMeGd2+MznVI+y08FREREsxD4vuJwT2C/rW9O15dBBk1mNgqzcqVgXaDMhkqZBVVmNlSXfy8I+F2VuQaq0o3SMauU2dApMlAe5vyieAbwueFzj8LrdEBw2DDksMHusGF0VMD4mADnuB1upwMepwMTbi9uW1uIwTE3Bi+Xe/pEQClzwyvKoZDNPpg7xNA8oorQcTeTdwY9+MhP3wjZ/8PiX+M9Oa/P6hzDE7GZ7Tkpg7TJZILVakVlZeUVSy/a29uxd+9eqfYZmAzWRqMRHR0dAACbLfISozNdNl958tDwCwAj4szlD4GcohIjvhxkyEJLN/q8pXhk7EF4FAUQMwogKgsgz9QgIzsfmdlqZGfnIydPA1X+5ECDkvwcfCwvE3+flwlVVgZEiBj3ujHmcWHEsxkjbidG3C6MeJwYdjtx0e3EqMeFEacTI6NnMezumTzG48KI24nRy8f5r+P/15cAU5bftmTdlQ8iIiKapXct1eKI/cqDCiMRIWLINY4h19x6fKfLlCsmg3ZmNtTKbOQrM5GbkYl8ZRbyMjKRn5E5+e/l7dzCVchfokNeRiYKlJcvy8hCnjIT7718fE6GEhBlsE+4MTh2NwZH/ge2YTuEYRtGRoYwOiJgdGIUY+OjmBgfgcs1Co9rBArPMDJ9IzjmXhPSzhzZBARfPrLgCp58YAYjvtyw+/Nlcw/l0ZaUQTqw93nv3r0RjxMEATt27MDJkyeD9hsMBphMJrS0tKC2tjbo+FjN0uETZRgVszEmZsPmDT9Ub994Jfq9xRjx5cAtz4cvIw+isgCKzHzIslXIyMqDPDsfmbn5yM5SIidLhg9kiP+/vXuHbSPb7zj+40sPX3s9kq+zi81usB7iZpG9AQJQNnJvkcpknYay6hRLIhepRajbrRzxFrcJApBuggAp1mSfQtw6hSSmc5NwFosNgiBZS2PLtkTxMSnIGYsiKdF8zUj6fgxC4gw1PPTBX/pxeOYcPYk5ikalaLStULitUHhFp+2/64bhhheKvfvN/9Vx8790/HND7/6n0fe40/bVXeL07sKSVhdudT8+67y7X13s3E9++iv91Sfm5QcBAGBEf/jLv1bil5/pP1//nzfU0O4G48P6Ox2eHuuoUZ95O07bLf1cf6uf628vf/AH+EU3gP+iG6yXIzEtR2NaisS0/FFMy6sxLUdWtRz9WLci7x+zEI7od+2InHZYrVZIrVZIjWZIp40/0r80/lUnp46OTxzV6w01Tt6pdfJG7fobtU5fyzk9khpvdEvvdDv8Tv/duj+wbT+3Df3Y/Fi3Q8e6FToZOZhP05UM0qN6/vy5TNMcGI43NjZUKBSUyWS0uto/9YzUCdbD9p33N/WM2pE7akcX1Y4syInGpGhMisSkaFShSFjhiKNw2FEo5Ogv4j9KIUftUEtttdV22vrRuaWa82dqtFuqt5s6aTVVb71U0+lOf+Ooc9XtZG9aAyscCumj2JLudt9NGwvLnXfW3ft3F5ZlLCzpo4Xl7v0lb8zZ6uItGQtLijJ0AwAwR8vRmDJf/ubCxzTarU64rh/3XNvTs637/VHjRK8bJ3p9Wu98bZzoXXO0CwZn4W3zVG+bMw6oIUnLUvRWWIuRaOcWXtZC+Lai4YiiiujXof9QuPsv5IQlJ6x/dtb1T+2Q2u1OUG83HTmtptRsKtQ8Vah5qnCrrkirrlj9SNI/Tr3p1zpIl0qloUHYNE1Vq1XZtu1dZHhwcNATug8ODpRIJEZ6rn+/H1ZouanO5I7n3g22uzf/6mBmliJR3Y4u6k5sUbdji52Pjrpfz2673f3e/VjJDcKdkLwsY3FJt6OLgb0qFwCAccXCEd1fuq37S7fH+vlmu6WjRr0vYL86PdHrRl1Hp93w3X3Mq9MTvWnU9a4bgt80ul+bnaGZQRhqOUjTaas5aXCPdG+LvZud49lMNnCtg/Te3p6ePHkycJ8bni3LUiKRUCKRkGVZPTN3WJalbDY7l7bOQjgU6n7MEtWt6IKWIzHd8j6WOXM/GtOt7kc1Zx+3FIn1heE7sUXdji7qdnc8FWeAAQCYrWg40hmuuDh4rPCHcBxHJ61mN2DX3wfsxqnedEPs2+ap3rr7Gu+3HbcaOu4OBT3pfnXv9+ybcGKAq+RaB+lRxjy7QXpra6tnqjt3do9J5pCOhSNaDEe15H5MEYlqMRzRUiTWvR/RQjjavR/p7j//+M7XpUhUC2fuXxaClyMxxcIRzvACAABPKBTqjGOOxvTLpQ+b5WtUbaeteqvVG7QHBO6zofxdq6GTVkP1Vkv1VrPzfbvzfb3VVL3d+Xraag7cfn7bvM66X+sgfRE3YLuzcqTTaR0cHKhYLGp1dVW7u7v6/vvvRz7ev6X+VvfuGl7QvbO8rOWl0WfhAAAAuA7CobCWo+HOrB+Llz9+Ft4ev9Pr43c67Qbsg1e2fqt/mPrzsDrFGZlMRplMRul0Wtvb2yPN4FGvd67E/c2f/lq/+viP9Sf3P9bHq/e0/ffD57XG/NTrdX3zzTdePyE46Jvgom+Cjf4JLvomOH6/nden9+7ri/uf6MtPPtNvv/xzSZp639zYIO0O3Rh1Vo5h3A558eKFXr165d22trYmbSKmoF6v69tvv+WXWgDRN8FF3wQb/RNc9E1wbG1t9eSyFy9eSJp+kL6xQzum7c6dO/roo8HzQwMAAGB+FhcXtbj4flzJ69evZ/I81/qMtGma3vLf57ljo8/O0gEAAACM6lqfkU4kEt4QjvPcgD3qPNHDON2rQo+Ojmb2bgfjc/uEvgke+ia46Jtgo3+Ci74JrqOjI0nvc9u0XOsgnUqlepYTP6tWq000tZ2r0eissvLVV19NfCzMzueff+53EzAEfRNc9E2w0T/BRd8El5vbpuVaB+knT54ol8v1LbQiSeVyeWjI/hBffPGFfvrpJ925c4c5mwEAAALIcRwdHR3p008/nepxr3yQtm3bG+98nmEYevbsmXK5nEqlkre9XC7LNE2l0+mJnz8cDuuzzz6b+DgAAACYnbt37079mCFn2oNF5iCfz2t3d1eWZalarUrqrEBoGIY2Njb6AnKlUtHOzo7i8bg3Znpzc3PezQYAAMA1ciWDNAAAAOC3az39HQAAADArBOkpsG1b2WxWuVxu6GPW19eVzWa9oSi2batSqWh9fd3bhtkYpX+kzhCgXC6nYrGofD6vfD4/pxbCRZ34jzoIHuoiOPh7Elx+ZbErf7Ghn9wZQR49eqRKpXLhdHq2batcLqtYLHrbDMNQqVSaeC5rDPYh/VMul/Xdd9/1XJRaqVSUSqW0s7Mzj+ZC1InfqINgoi78x9+T4PI7izFGekrW1tb08OFDFQqFgftzuZxSqZT3jmdas4ZgNBf1j23bevDggX744QcZhtH3c9lsVplMZk4tvdmoE/9QB8FFXQQLf0+Cy48sxhnpOUomk1NZBAbT9fz5c5mm2fdLT5I2NjZUKBT4xTdH1Ik/qINgoy6uBuoo+KZdS4yRxo1XKpW0uro6cJ9pmqpWq0OXmgeuC+oAmBx1dPMQpHHj7e3t9a186XK3W5Y1zyYBc0cdAJOjjm4ehnbMkWVZqlQq3v1araatra2BHwFhfmzbvrQPLMviop45oU78QR0EG3VxNVBHwTftWiJIz4m7CuPZsVHValVra2va39/nl2FAuf0ybBl6TBd1EkzUgb+oi+uBOvLfLGqJoR1zUiqV+q4MTSQSSiQS+vrrr31qFRAs1AnQj7oApmMWtUSQ9lkqlVK5XPa7GRjCvShk2MUjmA/qxF/UQTBRF1cLdRRck9TSjQvSqVRKoVBorNssrrR1C4rVqTqC1j+43Dz6jDoB+lEXwHRMUks3boy0H6sKZbNZGYah7e3tvn2MmerlR/+Ypjn0Kmq3X4ZdhY3p9Rl14i/qIJioi6uFOgquWdXSjTsj7Yfnz58PLSx3+8OHD+fZJJyRSCSGnhl1+4crrGePOvEXdRBM1MXVQh0F16xqiSA9B5lMRqVSaeC+nZ2doasgYT5SqdTQ4qrVaqwmNifUib+og2CiLq4W6ii4ZlVLBOk5ePTo0cBxN7Ztq1wuD/yYAfPz5MkTHRwcDPzlVy6Xlc1mfWjVzUOd+Is6CCbq4mqhjoJrVrVEkJ4S27aHjq1Jp9MqFAp9Hfj48WNlMpm+qVgwfRf1j2EYevbsmXK5XM/2crks0zTpnzmhTvxFHQQTdRE8/D0JLj+yWMhxHGesn4Ty+bx2d3e9Cb4lKZlMyjAMbWxs9HVKPp/Xy5cvvY4e9BhMz4f2T6VS0c7OjuLxuDfGbXNzc97NvvGoE39RB8FEXfiLvyfB5XcWI0gDAAAAY2BoBwAAADAGgjQAAAAwBoI0AAAAMAaCNAAAADAGgjQAAAAwBoI0AAAAMAaCNAAAADAGgjQAAAAwBoI0AGCq8vm8QqGQd1tbW/OlHblcrqcdqVTKl3YAuL4I0gCAqUsmk6rVaqrVaiqVSr60YWtry2sDyzMDmIWo3w0AAFw/hmHINM2ebdlsVnt7e7JtW5ZlyXGcmbfBMAxJUjweV7VanenzAbh5OCMNAJiLbDarbDYry7L8bgoATAVBGgDmxLIsxeNxra+v+90UXyQSCWUyGSWTSb+bAgBTQZAGgAmNGozL5bIsy1K5XJ5xi4LNHW4BAFcdY6QBYEKjDlXIZDKq1Wq+zWIBAJgugjQATGjUIG0YhgqFwoxbAwCYF4Z2AMAEKpWKbNv2uxkAAB8QpAFgAtvb2343AQDgE4I0AIwpm82qUqn43QwAgE8YIw0AH6hYLPadiV5ZWdHq6qp3P5lM9oyHzufz2tnZkWVZsixLh4eHPbNXDFusJJ/P6+XLl7JtW3t7ezJNU9vb295iJ5Zlec/jHjuZTI50prxSqahQKPS02zCMuZ9lH/Qanz17NnB2j/X1dVmW5Q2nqdVqsm1buVxOhmHIsixtbGwonU7P9TUAuKEcAMDYksmkM8qv0v39fadUKjmGYTiSnMPDw4H7JXnHy2QyTq1W63s+wzCcw8NDZ39/39nc3OzZf3h46BiG4aTT6Qvbs7m56SQSib7jZzIZxzTNvu0fYnt7+8LnT6fT3v/BZa/xvP39fadQKDiSHNM0ncPDQ++5Dg8Pe/7/zioUCk4ymRz7NQHAIAztAIA5SCQSSqfTQxcjOb8/l8v1nHl2bW9vy7ZtPX36VIVCoe/ssWEYymQy3pzVg+RyOeXzeZVKpb7ju2e357FozGWvsVgs9v2Mu6hLIpHwjlEqlSR1Xns6ndbm5ubM2w4AEmOkAWCuzg6jGOTscIZBQxvcAJnP55XNZgce49GjR5I0cPy2ZVnK5/Pa3NzsC7CuXC6narU68/HfhmFc+Bp3dnaG/uzq6qq3UuRZpVKJC0ABzA1BGgACKJVKXfoYN3AOM2havlwud+nxHz58KOniIDsNl73Gg4ODS4/BcuMA/ESQBoAAGna2eJT9Fy3BXa1WJb0Pyxcd233srFz2Gud1DAAYF7N2AEAAfcgQkA/hjpt++vSp7t27N/Rxg8YuT9tlr3EU4/4/AMA0EKQB4IY4O9Rja2uLEAoAE2JoBwDMQLFYHDprhl8IzgAwXQRpALhB3IVK9vb2fG4JAFx9BGkAmILzM2TYtj2VMcDT5k4Nd3bVxUHc1QIBAMMRpAFgAu4UbueHcdRqtYFDKUaZ0m1Sg6a9c5mmqUKhoHK5fOE80U+fPh06TzUAoIMgDQATyGQyMk2z5+xttVrtWyjE5QbuYeOnL9vvhuSLxl+7+2q12tA2FwoFra+vq1wu9+3P5XJKpVIzm7Vjmq8xaOPQAdwsBGkAmIBhGN7CJalUStlsVpVKpW+Z6rW1Na2srHhzMz9+/FjxeNwLjcP2u2eN3XD+4MEDSZ2wubKy0hPY8/m84vG4F+qLxaJWVlYGnlnOZDLa39/Xzs6O1+6zt1ksdDKN1xiPx7WysuIF6LW1NcXj8bksaQ4A54Ucx3H8bgQA4PrI5/Pa3d1VqVTyuymeYrGoUqk089UaAdwsnJEGAAAAxkCQBgAAAMZAkAYAAADGQJAGAAAAxkCQBgAAAMZAkAYAAADGQJAGAExduVxWKBRSKBTS2tqaL23I5XJeG1ilEcAsMI80AGCqbNvuWwp9VqskXoV2ALi+CNIAAADAGBjaAQAAAIyBIA0AAACMgSANAAAAjIEgDQAAAIyBIA0AAACMgSANAAAAjIEgDQAAAIyBIA0AAACMgSANAAAAjOH/AR939qrsJIsBAAAAAElFTkSuQmCC", + "image/png": 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", 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" ] @@ -1492,13 +1649,14 @@ "plt.plot(t_arr, A_mag_nfw, linewidth=2.5, label='NFW Subhalo')\n", "plt.plot(t_arr, A_mag_dressed, linewidth=2.5, ls='--', label='Dressed PBH-like')\n", "plt.plot(t_arr, A_mag_axion, linewidth=2.5, label='Axion/Boson Star')\n", + "plt.plot(t_arr, magnification_pspl, linewidth=2.5, ls = ':', label='Point Lens', color='k')\n", "\n", "plt.xlabel('time [hr]')\n", "plt.ylabel('A')\n", "plt.xlim(-15,15)\n", - "plt.ylim(0.9, 2e4)\n", + "plt.ylim(0.9, 3e2)\n", "plt.yscale('log')\n", - "plt.title(r'$t_E = 10 ~\\text{hr}, r_{90} = 0.5, u_0 = 5\\times 10^{-4}$')\n", + "plt.title(r'$t_E = 10 ~\\text{hr}, r_{90} = 0.5, u_0 = $' + str(umin))\n", "plt.legend(fontsize=18)\n", "# plt.savefig('figures/magnification_curves_caustics.pdf')\n", "plt.show()" From 7b665c383781abe7e41d4111cb6da5a32e4aaa75 Mon Sep 17 00:00:00 2001 From: Nolan Smyth Date: Fri, 1 Mar 2024 10:44:27 -0800 Subject: [PATCH 17/17] Cleaned nbs --- LensCalcPy/pbh.py | 2 +- nbs/00_pbh.ipynb | 311 ++++++--------------------------------- nbs/01_ffp.ipynb | 54 +++---- nbs/03_survey.ipynb | 4 - nbs/04_utils.ipynb | 82 +++++------ nbs/05_parameters.ipynb | 4 - nbs/07_lens.ipynb | 4 - nbs/08_galaxy.ipynb | 32 ++-- nbs/09_lightcurves.ipynb | 78 +++++----- nbs/index.ipynb | 4 - 10 files changed, 146 insertions(+), 429 deletions(-) diff --git a/LensCalcPy/pbh.py b/LensCalcPy/pbh.py index 3ffb483..095287e 100644 --- a/LensCalcPy/pbh.py +++ b/LensCalcPy/pbh.py @@ -28,7 +28,7 @@ from fastcore.test import * -# %% ../nbs/00_pbh.ipynb 5 +# %% ../nbs/00_pbh.ipynb 6 class Pbh(Lens): """A class to represent a PBH population""" diff --git a/nbs/00_pbh.ipynb b/nbs/00_pbh.ipynb index c5b7fb0..2fff43c 100644 --- a/nbs/00_pbh.ipynb +++ b/nbs/00_pbh.ipynb @@ -12,7 +12,7 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -21,7 +21,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -31,7 +31,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -63,18 +63,9 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "The autoreload extension is already loaded. To reload it, use:\n", - " %reload_ext autoreload\n" - ] - } - ], + "outputs": [], "source": [ "%load_ext autoreload\n", "%autoreload 2" @@ -82,7 +73,17 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "plt.style.use(\"../examples/style.mplstyle\")\n", + "sns.set_palette(\"colorblind\")\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -413,29 +414,29 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ "m_lens = 3e-5\n", - "# pbh = Pbh(m_lens, 1, l=l, b=b, ds=ds)\n", - "pbh = Pbh(m_lens, 1, l=1.0, b=-1.03, ds=8.5, lognorm=True, sigma=0.1, u_t=1)\n", + "pbh = Pbh(m_lens, 1, l=l, b=b, ds=ds, lognorm=True, sigma=0.1)\n", + "# pbh = Pbh(m_lens, 1, l=1.0, b=-1.03, ds=8.5, lognorm=True, sigma=0.1, u_t=1)\n", "\n", "ts = np.logspace(-2,1,50)" ] }, { "cell_type": "code", - "execution_count": 679, + "execution_count": null, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "5.454626685767838e-10" + "2.7384615867469513e-08" ] }, - "execution_count": 679, + "execution_count": null, "metadata": {}, "output_type": "execute_result" } @@ -446,54 +447,26 @@ }, { "cell_type": "code", - "execution_count": 680, - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/var/folders/qd/09mj47cx551c65glw6y47d6r0000gn/T/ipykernel_63168/431667249.py:122: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", - " result, error = quad(inner_integrand, u_min, u_max, args=(d, t), epsabs=epsabs, epsrel=epsrel)\n" - ] - }, - { - "data": { - "text/plain": [ - "5.453591959005619e-10" - ] - }, - "execution_count": 680, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "pbh.rate_mw(epsabs=0, epsrel=1e-1, tcad=0.07, tobs=100, finite=True)" - ] - }, - { - "cell_type": "code", - "execution_count": 83, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ "def opt_depth_integrand(d):\n", - " return (pbh.mw_model.density_dm(d, l, b) + pbh.m31_model.density_dm(d, l, b))/pbh.mass * np.pi * einstein_rad(d, pbh.mass)**2\n", - "d_arr = np.logspace(-3, np.log10(ds*0.99), 1000)\n", + " return (pbh.mw_model.density_dm(d, l, b) + pbh.m31_model.density_dm(d, l, b))/pbh.mass * np.pi * einstein_rad(d, pbh.mass, pbh.ds)**2\n", + "d_arr = np.logspace(-3, np.log10(pbh.ds*0.99), 1000)\n", "opt_depth_arr = np.array([quad(opt_depth_integrand, 0, d)[0] for d in d_arr])" ] }, { "cell_type": "code", - "execution_count": 84, + "execution_count": null, "metadata": {}, "outputs": [ { "data": { - "image/png": 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fuj5yceG2k86GsgMAqFb5hflKy0pTamaqTmWd0qlzp5R6LlWnzpX+OfVcqtKy0nQ252yVPs+nrs+FUuJ18YJSUmi8/vdzQ6+GcnVxtc8XhukoOwCAKisqLlJqZqpOZJzQr2d/1YmMEyWPlIyU/5WZrFOVLi/edb1LFZIyheUiZaahV0Onvmowqgf/AgAAl2QYhtKy0pSUnqTkM8mli8zZE/o148Lr1MxUFRvF5Z6vi81F/vX91cS7iRrXb6zGDRqrSYMmpZ5/e/jV81Mjr0ZcPwaVRtkBgFrsXO45HUs/pqT0JB1LP6ZjZ44p6XTShef/FpzcgtxyzcvF5qIm3k3UzKeZAn0C1axhswsH53o3LSk1vz371vPl2BZUG8oOAFhYbkGujqYd1c9pP+vnU/99pP2sxLREJaUnlWuXks1mU1PvpmrRqIUCGwaqmc+FEvP7n5v5NFMT7yYc5wKnRNkBgBouPTtdh1MO68ipI6UKzc+nftbxs8evOH1Dr4YK9g1WUKMgBfkGXfj5t+dGQWreqLnquNWphm8COIZlyg4XFQRgZfmF+frp1E86lHJIh08e1qGUQzp08pAOpRxSWlbaZaet71FfVzW+Sm0at7nw8G+j1v6t1dKvpYJ8g9TAs0E1fQvAHFxUEACcSFZulg6cOKD9x/frh19/KCk1iWmJpe5u/UfNGzbX1QFXXyg1/m1KFRu/+n5cvA5Oj4sKAoDF5BXk6dDJQ9p/fP+Fx68XnhPTEi85TX2P+moX0E7tm7ZX+4D2at+0vdoFtFO7gHaq71m/GtMDNQtlBwAcLO1cmvYc26M9SXu0O2m39iXv0+HUwyosKrzo+AHeAercvLM6BXZSx6YdSwpOYMNAttAAlUDZAQA7MQxDyWeStTtpt/Yk/a/cJJ9Jvuj4PnV91Ll5Z3UO7Hzh+b8Fp3GDxtWcHLA2yg4AVFJqZqq+TvxaX//8tb45+o12J+3W6azTFx23bZO26hHUQz1b9lS3Ft3UpXkXNW/UnC01QDWg7ABAOeQW5GpP0p6ScvN14tcXPb7G1cVVIc1C1DO4p3oE91CP4B7qHtRd3nU5YQIwC2UHAC4iOT1Z8T/GK+GnBH3181f6Lvk7FRQVlBmvY7OO6tO6j/q07qNerXqpc/PO8nT3NCExgEuh7ACo9QzD0OGTh7Xj8A7F/xiv+B/jdfT00TLjNW7QuKTY9GnTR2GtwtTQq2G15wVQMZYpO1xUEEB5FRcX67vk7/TZ4c8U/2O8Pv/xc6WeSy01jovNRd2Dumvg1QPVt3Vf9WnTR639W3OMDVADcVFBAJZnGIaOpB7RJwc/0Sf/+UTbDm0rcyCxh5uHerfurcFXD9agqwep31X9OM4GqEZcVBAAKiglI6Wk3Hxy8BMlpSeVer++R30NvHpgSbkJaxUmD3cPk9ICcCTKDgBLyC/M1+c/fq5N+zdp0/5N+uHXH0q97+7qrn5X9dN1Ha7TdR2vU+9WveXu5m5SWgDVibIDoMZKTk/Wpv2b9NG+j7T14FZl5WWVvGez2dQjqIeu63idrutwnQZePVD1POqZmBaAWSg7AGqMgsICJfyUoI/2faRN+zdp3/F9pd4P8A7QsE7DFNElQtd3vF5+9f1MSgrAmVB2ADi17Lxsbflhi2L3xurD7z7UmZwzJe+52FzUp00fDe88XBFdItQjqIdcXFxMTAvAGVF2ADidtHNp2vj9RsXujdWWA1t0Pv98yXv+9f0V0TlCEZ0jFN4pnK03AK6IsgPAKSSdTtL6PesVuzdWOw7vULFRXPJeK79WGttjrMb0GKMBbQfI1cXVxKQAahrKDgDTnDh7Qut2rdO7O99Vwk8Jpd7rHtRdY7qP0ZgeY9S1RVcu5geg0ig7AKpV2rk0vb/7fcXsjNH2w9v123VNbTabBrYdqJt63qTR3UardePWJicFYBWUHQAOdzbnrGL3xCrm2xjFHYhTUfH/buvSt01fTQiboPGh49W8UXMTUwKwKsuUHe6NBTiXwqJCbf5hs15PeF0bvtugvMK8kvd6BvfUhLAJuqXXLWrl38q8kABqBe6NBcCuvjv2nV5PeF1vff1WqZtrhjQL0W29b9OEsAm6OuBqExMCcEbcGwuAU0vJSNHbX7+t1798Xd8nf18yvHGDxrqjzx2a1G+Sugd15yBjAKag7AColKLiIm35YYuid0Trw+8/LDkOp45bHY3sOlKT+0/WsE7DuP8UANNRdgBUSHJ6sl794lWt+nxVqTuJ92ndR5P7T9aEsAnyredrYkIAKI2yA+CKCosK9dG+j7QyfqU+2vdRyQX/Gnk10qR+kzRt0DR1bt7Z5JQAcHGUHQCXdDLzpKJ3RGvFZyt0/OzxkuHXtLtG9wy6R+NCx8nT3dPEhABwZZQdAKUYhqFvEr/RS5++pLXfrlVBUYGkC/ekmtJ/iqYNmqb2TdubnBIAyo+yA0CSlFuQq7U71+qlT1/St798WzK8b5u+evjahzWu5zh5uHuYmBAAKoeyA9Ryv579VZHbIhW9I1ppWWmSJA83D90adqseuvYh9WrVy+SEAFA1lB2gltp/fL+e2/Kc3vr6rZJdVS0atdADf3pA0wZNU+MGjU1OCAD2QdkBahHDMPTpfz7V4i2L9fH+j0uGD2w7UDOun6HR3UfLzZVfCwCshd9qQC1QUFigtd+u1eIti7X32F5JkovNRTf1vEmzb5itvlf1NTcgADgQZQewsJy8HK2MX6nn4p7TsfRjkiSvOl66a8BdmnH9DF3V5CqTEwKA41F2AAvKPJ+p5duX67m453Tq3ClJUoB3gB6+9mFNv2a6/Or7mZwQAKoPZQewkPTsdL34yYt64ZMXdDbnrCSptX9rPTrsUU3uP5kLAAKolSxTdiIjIxUZGamioiKzowDV7mTmST2/5XlFbY9SVl6WJKl90/aaP3y+but9GwcdA6jVbIZhGGaHsKfMzEz5+PgoIyND3t7eZscBHCo1M1XPbHpGyz9brtyCXElS1xZd9bcb/6abet4kVxdXkxMCQPk4cv3Nf/eAGig9O13Pbn5WL37yonLycyRJvVv31t9u/JtGdB0hm81mckIAcB6UHaAGycjJ0JKtS7Rk6xJlns+UJPVq2UtPjHlCQzsNpeQAwEVQdoAaICs3S8u2LdOijxfpTM4ZSRd2Vz0x+gmN7DaSkgMAl0HZAZxYfmG+lm9frqc+eqrkFPKOzTpqwagFGtdznFxcXExOCADOj7IDOKHi4mKt/Xat5sfO18+nfpYktW3SVo+PfFy39b6NA48BoAIoO4CT2fafbZqzbo6+/eVbSVIzn2b6x6h/aGr/qXJ3czc5HQDUPJQdwEnsS96nR99/VJv2b5IkNfBsoDlD52jmDTNVz6OeyekAoOai7AAmS05P1mP/ekyvf/m6DMOQm6ubpg+ersdGPKYm3k3MjgcANR5lBzBJTl6OFm9ZrGc+fkbn889LksaHjtdTY5/S1QFXm5wOAKyDsgNUM8Mw9N637+mv6/6qpPQkSdLAtgO1ePxi9WnTx+R0AGA9lB2gGu1J2qNH3n1E8T/GS5KCfIO0+ObFGt9rPNfKAQAHoewA1SA1M1XzY+dr1eerZBiG6tapq7nD5uov4X+Rl4eX2fEAwNIoO4ADFRQW6KVPX9KCjQtKbu9we+/b9cy4ZxTkG2RyOgCoHSg7gIN8/uPnuv+t+7X/+H5JF+5h9cKtL6h/2/4mJwOA2oWyA9jZqXOnNGfdHK1OWC1J8qvvp3/e9E9NHTCV2zsAgAkoO4CdFBcXa2X8Ss37YF7JzTrvHXyvnh77tPzq+5mcDgBqL8oOYAe7f9mt+9+6X98kfiNJ6h7UXcvvWK6+V/U1ORkAgLIDVMG53HOav36+IrdFqtgolnddbz05+knd/6f75ebK4gUAzoDfxkAl/fv7f2v6m9OVfCZZ0oWzrBaPX6xmDZuZnAwA8HuWKTuRkZGKjIxUUVGR2VFgcamZqXrk3Uf07s53JUltGrfRijtX6PqQ601OBgC4GJthGIbZIewpMzNTPj4+ysjIkLe3t9lxYCGGYeiNL9/QzLUzlZ6dLhebi2bdMEsLRi3gwoAAUEWOXH9bZssO4EhH047qvjfu05YDWyRJ3Vp006opqxTaMtTkZACAK6HsAJdRVFyklz59SfPXz1dOfo483Dz0j1H/0OwbZsvdzd3seACAcqDsAJdwJPWIpr42VZ8f+VySdE27axQ9MVrtmrYzORkAoCIoO8AfFBcXK2p7lB59/1Hl5Oeovkd9LR6/WPcMuocrIANADUTZAX7naNpR3bX6Lm07tE2SNKT9EL065VW18m9lbjAAQKVRdgBdONNqZfxKzV47W1l5WfKq46VFNy/S/dfcz9YcAKjhKDuo9ZLTkzVtzTRt/mGzJGlg24F6bepratukrcnJAAD2QNlBrfbO1+/o/rfuV8b5DHm6e+qpMU/pkesfkauLq9nRAAB2QtlBrZSRk6EH335Qb339liSpd+veen3q6+rQrIPJyQAA9kbZQa0TfzheE1+dqF9O/yJXF1c9duNjmn/jfG7cCQAWxW931BoFhQX6x4f/0DObnlGxUaw2jdvozbvfVL+r+pkdDQDgQJQd1AqHUw7rzlV3aufRnZKkKf2n6MXbXlQDzwYmJwMAOBplB5ZmGIZWfb5Kj7z7iHLyc9TIq5GiJ0Xr5tCbzY4GAKgmlB1YVkZOhu5Zc4/e2/WeJOnaDtfq9amvq4VvC5OTAQCqE2UHlrQzcacmRE9QYlqi3F3d9dTYpzT7htlcIBAAaiHKDizFMAwtiVuiuR/MVUFRgVr7t9a7976r3q17mx0NAGASyg4s43TWaU15bYo2fr9RknRz6M1aOWmlGno1NDcYAMBUlB1YQvzheN3+yu1KPpMsDzcPLZ2wVPddc59sNpvZ0QAAJqPsoEYrLi7Wwk0L9fd//V3FRrHaBbTT2vvWqltQN7OjAQCcBGUHNVbauTTduerOkht4Tuw7UVF3RKm+Z32TkwEAnAllBzXSzsSduvnlm5WUnqS6deoq6vYoTRkwxexYAAAnRNlBjWIYhl7+7GXNiJmh/MJ8tW3SVh/c/4G6tOhidjQAgJOi7KDGyM7L1vQ3p+vNr96UJI3tMVavTXlNPl4+JicDADgzyg5qhMMphzXu5XHaf3y/XF1c9cxNz2h2+GzOtgIAXBFlB07vg90faMprU3Qu95ya+jRVzL0xGtxusNmxAAA1BGUHTquouEj/74P/p0WbF0mSBl09SDH3xqhZw2YmJwMA1CSUHTil9Ox03RZ9m7Yc2CJJmh0+WwvHLpS7m7vJyQAANQ1lB05n//H9GhM5Rj+d+kl169TVa1Ne04SwCWbHAgDUUJQdOJUPdn+gSa9OUnZetlr5tVLsg7FcDRkAUCUuZgcApAu3fXgs9jGNWz5O2XnZurbDtdo5fydFBwBQZU5Xdg4dOqTu3buXPOrWravY2FizY8GBMnIyNDpytJ7895OSpJnXz9TmGZvl38Df5GQAACtwut1Y7du31969eyVJWVlZatWqlW644QZzQ8FhDqUc0ujI0TqUckie7p5aOWml7ux7p9mxAAAW4nRl5/c2bNig6667TvXq1TM7Chwg7kCcxr88XhnnMxTkG6T1D6xXaMtQs2MBACymwruxduzYoZEjRyowMFA2m+2iu5iioqLUunVreXp6KjQ0VPHx8ZUKt3btWk2YwFk4VhS1LUoRL0Qo43yGBrQdoJ3zd1J0AAAOUeEtO9nZ2erWrZumTp2qcePGlXk/JiZGM2bMUFRUlAYMGKAVK1YoIiJCBw4cUHBwsCQpNDRUeXl5ZabdsmWLAgMDJUmZmZn64osv9O677142T15eXql5ZWZmVvQroRoVFhVqZsxMLdu2TJI0qd8kRU+Mloe7h8nJAABWZTMMw6j0xDab1q9frzFjxpQM69Onj3r27Knly5eXDOvYsaPGjBmjhQsXlnveb7zxhjZv3qw333zzsuP94x//0IIFC8oMz8jIkLe3d7k/D453NuesJqyYoC0Htshms2nh2IWaM2wO97cCACgzM1M+Pj4OWX/b9Wys/Px87dq1S+Hh4aWGh4eHKyEhoULzKu8urHnz5ikjI6PkcezYsQp9DqrHkdQj6rewn7Yc2CKvOl764P4P9GjEoxQdAIDD2fUA5bS0NBUVFSkgIKDU8ICAAKWkpJR7PhkZGfrmm2/0/vvvX3FcDw8PeXiwC8SZfXboM920/CalZ6erRaMW2vDQBvUI7mF2LABALeGQs7H++L91wzAq9D94Hx8fnTx50t6xYIJV8at0/1v3q6CoQL1b91bsA7HcyBMAUK3suhvL399frq6uZbbipKamltnaA2srLi7WX9/7q6atmaaCogLdGnartv9lO0UHAFDt7Fp26tSpo9DQUMXFxZUaHhcXp/79+9vzo+DEzuef1y0rbtHiLYslSQtGLdDb97ytunXqmpwMAFAbVXg3VlZWlo4cOVLyOjExUXv37pWvr6+Cg4M1a9YsTZw4Ub169VK/fv0UHR2tpKQkTZ8+3a7B/ygyMlKRkZEqKipy6Ofg8k6dO6XRkaP15U9fqo5bHa2eslq39bnN7FgAgFqswqeeb9++XUOGDCkzfPLkyVq9erWkCxcVXLRokU6cOKHOnTtryZIlGjx4sF0CX4kjT13D5f148kcNf3G4jqQeUSOvRop9MFaD21XP3zsAoGZz5Pq7StfZcUaUHXMkHEnQqMhROp11Wq38WmnTI5vUoVkHs2MBAGoIR66/nfreWKgZ1u1apztfuVN5hXkKaxWmDx/+UAHeHJAOAHAOdj1AGbWLYRh6bstzumXFLcorzNOobqO07S/bKDoAAKfClh1USlFxkR559xFFbouUJD005CEtvXWpXF1cTU4GAEBplik7nI1VfXLycnTbytu04bsNstlsWnzzYs28YSa3fgAAOCUOUEaFnM46rZHLRurLn76Uh5uH3pz2pm4OvdnsWACAGo4DlOEUjqUf09ClQ3XwxEE18mqkDx/+UAPaDjA7FgAAl0XZQbn8cPwHDV06VMfPHleLRi308SMfq1PzTmbHAgDgiig7uKIvjnyhES+N0Nmcs+rYrKM2z9isIN8gs2MBAFAulB1c1offfahbVtyi3IJc9buqnzY+vFG+9XzNjgUAQLlxnR1c0qufv6qxUWOVW5CrEV1HaOvMrRQdAECNQ9lBGYZh6Ol/P627X79bRcVFmjpgqtY/sF5eHl5mRwMAoMIsU3YiIyMVEhKisLAws6PUaMXFxXrk3Uc0P3a+JGlexDytmrxKbq7s8QQA1ExcZwclCgoLNOW1KXr7m7clSUsnLNUj1z9icioAQG3AdXbgcOfzz+uWFbdo4/cb5ebqpjVT1+i2PreZHQsAgCqj7ECZ5zM1atkofXb4M3m6e+r9+9/X8C7DzY4FAIBdUHZqubRzaYp4IULf/vKtGng20MaHN2pwu8FmxwIAwG4oO7XY8TPHdcOSG3TwxEH51/fXxzM+VmjLULNjAQBgV5SdWuqn1J90/fPX6+jpo2resLm2ztqqDs06mB0LAAC7o+zUQvuS9yl8abhSMlLUtklbxc2MUyv/VmbHAgDAIbjOTi3z9c9f65pnr1FKRoq6NO+i+DnxFB0AgKVxnZ1a5NODn2pU5Chl52Wrb5u++ujPH6lRvUZmxwIAwKHrb8ts2cHlbdq3ScNfHK7svGxd1/E6xc2Mo+gAAGoFyk4tELsnVqMjRyuvME+juo3Sxoc3qr5nfbNjAQBQLSg7FhezM0Y3v3yzCooKND50vNZNXydPd0+zYwEAUG0oOxa2JmGNbl95u4qKi3Rn3zv19j1vy93N3exYAABUK8qORa3csVJTVk9RsVGsuwferdVTV3PncgBArUTZsaBlny7TvW/cK8Mw9MCfHlD0xGi5uriaHQsAAFNQdizm2c3P6uF3HpYkzQ6frWW3L5OLC3/NAIDai7WghTyx8QnNWTdHkjR/+Hw9e/OzstlsJqcCAMBclik7tfkKyoZhaP76+fr7v/4uSXpi9BN6cuyTFB0AAMQVlGs8wzD0l/f+oufjnpckLR6/WLPDZ5ucCgCAinHk+pvTc2owwzA0M2amXvjkBUnSstuX6cEhD5qcCgAA50LZqaH+WHRWTFyhewffa3IqAACcD2WnBjIMQzNiZujFT16UJEVPjNY9g+8xORUAAM6JslPD/LHorJy0UtMGTTM5FQAAzouyU4MYhqFH3n1EL336kiSKDgAA5UHZqSH+WHRemfSK7h50t8mpAABwfpa5zo6V/b7o2Gw2ig4AABXAlh0nZxiG/vzOn7Vs27KSonPXwLvMjgUAQI3Blh0nRtEBAKDq2LLjpAzD0MPvPKzIbZGy2WxaNXmVpg6YanYsAABqHMts2bHSvbF+O0aHogMAQNVxbywnYxiG/rrur3puy3MUHQBAreHI9bdltuxYgWEY+lvs3/TcluckSSvuXEHRAQCgiig7TuSJjU/o6Y+elnThpp7cAgIAgKqj7DiJf276px7f8Lgk6bnxz3H3cgAA7ISy4wSWxC3R3A/mSpKeHvu0ZoXPMjkRAADWQdkxWdS2KM1ae6HcPD7ycc0bPs/kRAAAWAtlx0SvxL+iB9++sLtqbsRcPT7ycZMTAQBgPZQdk6xJWKN737hXkjTz+pl6euzTstlsJqcCAMB6KDsmiNkZo6mrp8owDD045EE9d8tzFB0AAByEslPNPtj9ge545Q4VG8WaNmiaXrz1RYoOAAAORNmpRhu/26hbo29VUXGRJvWbpBV3rpCLC38FAAA4EmvaarL1wFaNe3mcCooKdGvYrXp1yqsUHQAAqgFr22qQcCRBoyNHK78wX2N7jNWau9bI1cXV7FgAANQKlB0H2/3Lbg1/cbhy8nM0tNNQvXPPO3J3czc7FgAAtYZlyk5kZKRCQkIUFhZmdpQSB08c1NClQ5VxPkODrh6kD+7/QB7uHmbHAgCgVrEZhmGYHcKeHHmL+IpIPJWogYsG6tezv6pXy176ZPYn8q5rXh4AAJyZI9ffltmy40yOnzmu656/Tr+e/VWdAjvp4xkfU3QAADAJZcfOTp07pRuW3KDEtERd1fgqxc2Mk199P7NjAQBQa1F27OhszlkNXTpUB08cVItGLbR11lY1a9jM7FgAANRqlB07yc7L1o0v3qg9SXvUuEFjbZ21Va38W5kdCwCAWo+yYwe5BbkaEzlGCT8lqKFXQ8XNjFP7pu3NjgUAAETZqbKCwgLdGn2rth7cqnoe9bTpz5vULaib2bEAAMB/UXaqoLi4WFNem6J/7f2XPNw8tOHBDep7VV+zYwEAgN+h7FSSYRh68O0H9fY3b8vN1U3rpq/TtR2vNTsWAAD4A8pOJT0W+5he/uxl2Ww2vXHXGxrRbYTZkQAAwEVQdiphSdwSPfXRU5Kk5Xcs1629bzU5EQAAuBTKTgWtSVijWWtnSZKeGvOU7rvmPpMTAQCAy6HsVMCGvRt01+t3SZJmXj9T84bPMzkRAAC4EspOOX126DPdsuIWFRUXaXK/yVo8frFsNpvZsQAAwBVQdsphT9IejYocpbzCPI3qNkqvTH5FLi780QEAUBOwxr6CwymHNXTpUGWez9Q17a7Ru/e+KzdXN7NjAQCAcqLsXEZyerLCl4br1LlT6hHcQ/968F+qW6eu2bEAAEAFUHYu4XTWaQ1dOlS/nP5FVze5Wh8/8rF8vHzMjgUAACqIsnMRWblZuvHFG3XgxAE1b9hccbPi1MS7idmxAABAJVB2/iCvIE83Lb9JXyd+Ld96vtoyc4ta+rU0OxYAAKgkys7vFBUXaeKqiYo7EKd6HvX00Z8/UkhgiNmxAABAFVim7ERGRiokJERhYWGVmt4wDD3w1gN6b9d7cnd11/oH1qtPmz52TgkAAKqbzTAMw+wQ9pSZmSkfHx9lZGTI29u73NM9FvuYnvz3k7LZbIq5N0bje413YEoAAPB7lV1/l4dltuxURdS2KD357yclXbixJ0UHAADrqPVlZ92udXronYckSQtGLeDGngAAWEytLjvbD23XHa/cIcMwNP2a6XpsxGNmRwIAAHZWa8vOd8e+0+jI0covzNdNPW/SstuXcWNPAAAsqFaWnaNpRzXshWHKPJ+pwe0G661pb8nVxdXsWAAAwAFqXdk5de6Uhi4dqpSMFHVp3kX/evBf8nT3NDsWAABwkFpVdrLzsjXipRE6fPKwgn2D9fGMj9XQq6HZsQAAgAPVmrJTUFig8S+P1zeJ38ivvp82z9iswIaBZscCAAAOVivKjmEYmrZmmjbt36S6depq40Mb1aFZB7NjAQCAalArys7c9+dqzZdr5Oriqvfue099r+prdiQAAFBNLF92lm5dqkWbF0mSVk5aqRu73mhyIgAAUJ0sXXbe+fodzYyZKUl6euzTmjpgqsmJAABAdbNs2fn0P59q8muTJUkPX/uw5kbMNTkRAAAwg5vZARzlzlfuVIFRoFt63aKlE5ZydWQAAGopy27Zyc7L1rUdrtWau9bIxcWyXxMAAFyBZVtAl+ZdtP6B9fJw9zA7CgAAMJFly8666evkXdfb7BgAAMBkli07TRs2NTsCAABwApYtOwAAABJlBwAAWBxlBwAAWBplBwAAWBplBwAAWBplBwAAWBplBwAAWBplBwAAWBplBwAAWBplBwAAWBplBwAAWJpTlp0lS5aoU6dOCgkJ0Z///GcZhmF2JAAAUEM5Xdk5deqUli1bpl27dmnfvn3atWuXvvrqK7NjAQCAGsrN7AAXU1hYqNzcXElSQUGBmjRpYnIiAABQU1V4y86OHTs0cuRIBQYGymazKTY2tsw4UVFRat26tTw9PRUaGqr4+Phyz79x48b6y1/+ouDgYAUGBur666/XVVddVdGYAAAAkipRdrKzs9WtWzctW7bsou/HxMRoxowZmj9/vvbs2aNBgwYpIiJCSUlJJeOEhoaqc+fOZR6//vqrzpw5o40bN+ro0aM6fvy4EhIStGPHjsp/QwAAUKvZjCoc/Wuz2bR+/XqNGTOmZFifPn3Us2dPLV++vGRYx44dNWbMGC1cuPCK83zvvfe0fft2RUZGSpKeffZZGYahOXPmXHT8vLw85eXllbzOyMhQcHCwjh07Jm9v70p+MwAAUJ0yMzMVFBSks2fPysfHx67ztusxO/n5+dq1a5fmzp1banh4eLgSEhLKNY+goCAlJCQoNzdX7u7u2r59u+69995Ljr9w4UItWLDgovMBAAA1y+nTp5277KSlpamoqEgBAQGlhgcEBCglJaVc8+jbt6+GDx+uHj16yMXFRdddd51GjRp1yfHnzZunWbNmlbwuLi5WaGiodu/eLZvNVrkvUg5hYWHauXOn6fOq7LQVma68415pvN9ae23Z6mbPfyNV5egszrI8VHb6ik7DMlE5zrJMVEeO2rRM2Gt5+G3PjK+vb7lzlpdDzsb6Y8kwDKNCxeOpp57SU089Va5xPTw85OHhUWaYvVvhH7m6utrtl1NV5lXZaSsyXXnHLe943t7eteIXuz3/jVSVo7M4y/JQ2ekrOg3LROU4yzJRHTlq0zJh7+XBxcX+V8Wx6xz9/f3l6upaZitOampqma09jvTggw/WqM+oyrwqO21FpivvuNXx516TONOfh6OzOMvyUNnpKzoNy0TlOMufR21aR1R2equtIxxygHJoaKiioqJKhoWEhGj06NHlOkAZ1pWZmSkfHx9lZGQ4xf/uALOxTAD/48jlocK7sbKysnTkyJGS14mJidq7d698fX0VHBysWbNmaeLEierVq5f69eun6OhoJSUlafr06XYNjprHw8NDjz/+eJndjkBtxTIB/I8jl4cKb9nZvn27hgwZUmb45MmTtXr1akkXLiq4aNEinThxQp07d9aSJUs0ePBguwQGAACoiCrtxgIAAHB2TncjUAAAAHui7AAAAEuj7AAAAEuj7AAAAEuj7MApjB07Vo0aNdLNN99sdhTAdMeOHdOf/vQnhYSEqGvXrnrvvffMjgSY6ty5cwoLC1P37t3VpUsXrVy5skLTczYWnMK2bduUlZWl119/XevWrTM7DmCqEydO6OTJk+revbtSU1PVs2dPHTp0SPXq1TM7GmCKoqIi5eXlycvLSzk5OercubN27twpPz+/ck3Plh04hSFDhqhBgwZmxwCcQrNmzdS9e3dJUpMmTeTr66v09HRzQwEmcnV1lZeXlyQpNzdXRUVFqsi2GsoOqmzHjh0aOXKkAgMDZbPZFBsbW2acqKgotW7dWp6engoNDVV8fHz1BwWqiT2XiW+//VbFxcUKCgpycGrAceyxTJw9e1bdunVTixYtNGfOHPn7+5f78yk7qLLs7Gx169ZNy5Ytu+j7MTExmjFjhubPn689e/Zo0KBBioiIUFJSUjUnBaqHvZaJ06dPa9KkSYqOjq6O2IDD2GOZaNiwob777jslJibq7bff1smTJ8sfwADsSJKxfv36UsN69+5tTJ8+vdSwDh06GHPnzi01bNu2bca4ceMcHRGoVpVdJnJzc41BgwYZa9asqY6YQLWpynriN9OnTzfWrl1b7s9kyw4cKj8/X7t27VJ4eHip4eHh4UpISDApFWCe8iwThmFoypQpuvbaazVx4kQzYgLVpjzLxMmTJ5WZmSnpwt3Rd+zYofbt25f7Myp813OgItLS0lRUVKSAgIBSwwMCApSSklLyeujQodq9e7eys7PVokULrV+/XmFhYdUdF3C48iwTX3zxhWJiYtS1a9eSYxveeOMNdenSpbrjAg5XnmUiOTlZd999twzDkGEYeuihh9S1a9dyfwZlB9XCZrOVem0YRqlhmzdvru5IgKkut0wMHDhQxcXFZsQCTHO5ZSI0NFR79+6t9LzZjQWH8vf3l6ura6mtOJKUmppapsUDtQHLBFBadSwTlB04VJ06dRQaGqq4uLhSw+Pi4tS/f3+TUgHmYZkASquOZYLdWKiyrKwsHTlypOR1YmKi9u7dK19fXwUHB2vWrFmaOHGievXqpX79+ik6OlpJSUmaPn26iakBx2GZAEozfZmowNliwEVt27bNkFTmMXny5JJxIiMjjZYtWxp16tQxevbsaXz22WfmBQYcjGUCKM3sZYJ7YwEAAEvjmB0AAGBplB0AAGBplB0AAGBplB0AAGBplB0AAGBplB0AAGBplB0AAGBplB0AAGBplB0AAGBplB0AAGBplB0AAGBplB0AAGBp/x+Nh2w/OUzMlwAAAABJRU5ErkJggg==", + "image/png": 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", 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" + "
" ] }, "metadata": {}, @@ -509,7 +482,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -519,7 +492,7 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -531,19 +504,19 @@ }, { "cell_type": "code", - "execution_count": 17, - "metadata": {}, - "outputs": [], - "source": [ - "plt.style.use(\"../examples/style.mplstyle\")\n", - "sns.set_palette(\"colorblind\")\n" - ] - }, - { - "cell_type": "code", - "execution_count": 34, + "execution_count": null, "metadata": {}, "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": null, + "metadata": {}, + "output_type": "execute_result" + }, { "data": { "image/png": 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", @@ -569,54 +542,7 @@ }, { "cell_type": "code", - "execution_count": 145, - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/Users/nolansmyth/opt/anaconda3/lib/python3.9/site-packages/scipy/integrate/_quadpack_py.py:1233: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", - " quad_r = quad(f, low, high, args=args, full_output=self.full_output,\n" - ] - } - ], - "source": [ - "diff_rate_mono = np.array([pbh.differential_rate_mw(t, finite=False) for t in ts])\n", - "diff_rate_lognorm = np.array([pbh.differential_rate_mw_lognorm(t, finite=False) for t in ts])\n", - "diff_rate_lognorm_wide = np.array([pbh_wide.differential_rate_mw_lognorm(t, finite=False) for t in ts])\n" - ] - }, - { - "cell_type": "code", - "execution_count": 282, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "plt.loglog(ts, diff_rate_mono, label=\"Monochromatic\", color=\"lightblue\", linestyle=\"--\")\n", - "plt.loglog(ts, diff_rate_lognorm, label=\"Lognorm\", color=\"cyan\", linestyle=\"-.\")\n", - "plt.loglog(ts, diff_rate_lognorm_wide, label=\"Lognorm Wider\", color=\"darkblue\", linestyle=\":\")\n", - "\n", - "plt.xlim(1e-2, 1e1)\n", - "# plt.ylim(1e-8, 1e-5)\n", - "plt.legend()\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 11, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -630,7 +556,7 @@ "test_close(pbh.umin_upper_bound(0), 1, eps=1e-2)\n", "\n", "#test that threshold parameter is close to 0 when close to source\n", - "test_close(pbh.umin_upper_bound(ds*0.99), 0, eps=1e-2)\n", + "test_close(pbh.umin_upper_bound(ds*0.99999), 0, eps=1e-2)\n", "\n", "#test that umin lower bound is correctly inherited from Lens\n", "test_eq(pbh.umin_lower_bound(0), 0)" @@ -638,14 +564,14 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": null, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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" ] }, "metadata": {}, @@ -675,139 +601,6 @@ "plt.show()" ] }, - { - "cell_type": "code", - "execution_count": 765, - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/Users/nolansmyth/opt/anaconda3/lib/python3.9/site-packages/scipy/integrate/_quadpack_py.py:1233: IntegrationWarning: The algorithm does not converge. Roundoff error is detected\n", - " in the extrapolation table. It is assumed that the requested tolerance\n", - " cannot be achieved, and that the returned result (if full_output = 1) is \n", - " the best which can be obtained.\n", - " quad_r = quad(f, low, high, args=args, full_output=self.full_output,\n", - "/Users/nolansmyth/opt/anaconda3/lib/python3.9/site-packages/scipy/integrate/_quadpack_py.py:1233: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", - " quad_r = quad(f, low, high, args=args, full_output=self.full_output,\n", - "/Users/nolansmyth/opt/anaconda3/lib/python3.9/site-packages/scipy/integrate/_quadpack_py.py:1233: IntegrationWarning: The maximum number of subdivisions (50) has been achieved.\n", - " If increasing the limit yields no improvement it is advised to analyze \n", - " the integrand in order to determine the difficulties. If the position of a \n", - " local difficulty can be determined (singularity, discontinuity) one will \n", - " probably gain from splitting up the interval and calling the integrator \n", - " on the subranges. Perhaps a special-purpose integrator should be used.\n", - " quad_r = quad(f, low, high, args=args, full_output=self.full_output,\n" - ] - } - ], - "source": [ - "result_mw = np.array([pbh.differential_rate_mw(t, finite=False) for t in ts])\n", - "result_m31 = np.array([pbh.differential_rate_m31(t, finite=False) for t in ts])" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": {}, - "outputs": [], - "source": [ - "result_mw_finite = np.array([pbh.differential_rate_mw(t, finite=True) for t in ts])\n", - "result_m31_finite = np.array([pbh.differential_rate_m31(t, finite=True) for t in ts])" - ] - }, - { - "cell_type": "code", - "execution_count": 1310, - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/Users/nolansmyth/opt/anaconda3/lib/python3.9/site-packages/scipy/integrate/_quadpack_py.py:1233: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", - " quad_r = quad(f, low, high, args=args, full_output=self.full_output,\n" - ] - } - ], - "source": [ - "result_mw_finite_fwhm = np.array([pbh.differential_rate_mw(t, finite=True, t_fwhm=True) for t in ts])\n", - "result_m31_finite_fwhm = np.array([pbh.differential_rate_m31(t, finite=True, t_fwhm=True) for t in ts])" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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R1KhRgyFDhrB///6y/NgvCUmihBBCnJNLdZ335lbdfj3WX6ZPn86jjz7KE088wZYtW7j//vsZNWoUCxcuBCge3zpx4kRSU1OLt/Py8hgwYADz589nw4YN9OvXj8GDB3Pw4EG/xQYlp+IfOXKEAQMG0LFjR/766y8++eQTvvzyS1577bULnuO9996jQ4cObNiwgdGjR/Pggw+yfft2AFavXg2cbv2aNm3aOc8RFxfH1q1b2bJly3mvc7GfZVk8/fTTvPnmm6SkpNCqVSueffZZ/vOf//Dvf/+bbdu2MWnSJGJjYwHIz8+nd+/ehIWFsWTJEpYtW0ZYWBjXXHNNhbeUlZUU2xRCCHFOH2d9fN7HEg2JDLENKd7+LOsz3Jy7m6aOoQ432m4s3p6YPZECtaDEMY9GPVrOaDXvvvsuI0eOZPTo0YC2DuvKlSt599136d27NzVr1gROLxNSpHXr1rRu3bp4+7XXXmP69OnMmDGDhx9+2C+x2e12nn32WfR6PT179uTjjz+mbt26fPTRRyiKQtOmTTl69CjPPPMML7zwAjrduds5BgwYUPz6nnnmGd5//30WLVpE06ZNi19fUevX+fzjH/9g6dKltGzZkvr169OlSxf69u3L7bffjtlsBi7+syyLV155hT59+gCQm5vL2LFj+eijjxgxYgQADRs25IorrgBg8uTJ6HQ6vvjii+LSBRMnTiQyMpJFixbRt2/fMl27IklL1EVIiQMhhKg8UlJS6NatW4l93bp1IyUl5YLPs9vtPP300yQnJxMZGUlYWBjbt2/3S0tU165dCQsLw2azMXPmTL766itatmxJSkoKl19+eYkaR926dSMvL4/Dhw+f93ytWrUqvl/UlVm07ElphYaG8uuvv7J7926ef/55wsLCeOKJJ+jUqRP5+fmA7z/Lc+nQoUPx/ZSUFBwOB1ddddU5j123bh27d+/GZrMRFhZGWFgY0dHRFBYWsmfPnjJfuyJJS9RFPPTQQzz00EPFCxgKIUR1MTpy9HkfUyhZ3PC+yPtKfeyoiFHlC+wi/l54UVXVixZjfOqpp5gzZw7vvvsujRo1wmq1cuONN/ql+2jKlCnFydmZS+ucKy5VVc/5Gs5kNBpLbCuKgtfr9Sm2hg0b0rBhQ+655x7+9a9/cdlllzFlyhRGjRp1zjjOjLmopawoZjh/xfDQ0NDi+0XLtJyP1+ulffv2fPfdd2c9VtTSFiykJUoIIcQ5GRXjeW8GxeDXY/2lWbNmLFu2rMS+P//8k2bNmp2+vtGIx+MpcczSpUsZOXIk1113HS1btiQuLs5vA5nr1q1Lw4YNz1qbMDk5mT///LNEEvLnn39is9moU6eOT9cymUwAZ72+0khMTCQkJAS73Q5c/GdZlNCkpqYWP16a0gqNGzfGarWyYMGCcz7erl07du3aRa1atWjUqFGJW7A1ZkhLlBBCiCrjqaee4uabb6Zdu3ZcddVVzJw5k2nTppWYaZeYmMiCBQvo1q0bZrOZqKgoGjVqxLRp0xg8eDCKovDvf//b59ad0ho9ejQffPAB//jHP3j44YfZsWMHL774ImPGjDnveKiLqVWrFlarldmzZ5OQkIDFYjln4vHSSy+Rn5/PgAEDqF+/PllZWXz44Ye4XK7isUsX+1larVa6dOnCW2+9RWJiIhkZGTz//PMXjdFisfDMM8/w9NNPYzKZ6NatG8ePH2fr1q3cfffd3H777bzzzjsMGTKEV155hYSEBA4ePMi0adN46qmnSEhI8OlnUxGkJUoIIUSVMXToUMaOHcs777xD8+bNGT9+PBMnTiwx1f+9995j3rx51K1bl7Zt2wLw/vvvExUVRdeuXRk8eDD9+vWjXbt2F7zWyJEjz1tCoDTq1KnDb7/9xurVq2ndujUPPPAAd999d6kSkfMxGAx8+OGHjB8/nvj4eIYMGXLO43r27MnevXu58847adq0Kf379yctLY25c+fSpEkToHQ/ywkTJuByuejQoQOPPvroRWcWFvn3v//NE088wQsvvECzZs245ZZbisd1hYSEsGTJEurVq8f1119Ps2bNuOuuuygoKCA8PNznn01FUNQz2xHFeRWNicrOzg66/0QhhPBVYWEh+/btIykpCYvFEuhwKpVevXrRq1cvXnrppUCHUu1d6Pe4Ij+/pTtPCCGEKKPc3Fz27NnDrFmzAh2KCCBJooQQQogystlsHDp0KNBhiACTMVFCCCGEED6QJOoipNimEEIIIc5FkqiLeOihh9i2bVvx+kpCCCGEECBJlBBCCCGETySJEkIIIYTwgSRRQgghhBA+kCRKCCGEEMIHkkQJIYQQpZCYmMgHH3zg03NHjhzJ0KFDy/QcRVH4+eeffbqeuDQkiRJCCFGpKIpywdvIkSMv+vyKSE5eeumlc8Yzf/58xo4dy1dffVWm86WmptK/f38A9u/fj6IobNy40e9xC99JxXIhhBCVSmpqavH9KVOm8MILL7Bjx47ifVarNRBhAdC8eXPmz59fYl90dDQmk6nM54qLi/NXWKKCSEvURUixTSGECC5xcXHFt4iICBRFKbFv0qRJNGzYEJPJRJMmTfj222+Ln5uYmAjAddddh6Ioxdt79uxhyJAhxMbGEhYWRseOHc9KhkrDYDCUiCUuLg6TyXRWd16vXr145JFHePrpp4mOjiYuLu6shYzPbDFLSkoCoG3btiiKQq9evYqPmzhxIs2aNcNisdC0aVM+/vjjMsctfCMtURfx0EMP8dBDDxWvAi2EEFWdqkJ+/qW/bkgIKEr5zjF9+nQeffRRPvjgA66++mpmzZrFqFGjSEhIoHfv3qxZs4ZatWoxceJErrnmGvR6PQB5eXkMGDCA1157DYvFwtdff83gwYPZsWMH9erV88OrO9vXX3/NmDFjWLVqFStWrGDkyJF069aNPn36nHXs6tWr6dSpE/Pnz6d58+bFLVuff/45L774Ih999BFt27Zlw4YN3HvvvYSGhjJixIgKiVucJkmUEEKIEvLzISzs0l83Lw9CQ8t3jnfffZeRI0cyevRoAMaMGcPKlSt599136d27NzVr1gQgMjKyRHdZ69atad26dfH2a6+9xvTp05kxYwYPP/xwqa+/efNmws744SUnJ7N69epzHtuqVStefPFFABo3bsxHH33EggULzplEFcVdo0aNEnG/+uqrvPfee1x//fWA1mK1bds2xo8fL0nUJSBJlBBCiCojJSWF++67r8S+bt26MXbs2As+z2638/LLLzNr1iyOHj2K2+2moKCAgwcPlun6TZo0YcaMGcXbZrP5vMe2atWqxHbt2rVJT08v9bWOHz/OoUOHuPvuu7n33nuL97vdbuk5uUQkiRJCVHse1cMJzwkyvZlkek7dvJkAxOpjaWBqQJIxKcBRXjohIVqrUCCu6w/K3/oEVVU9a9/fPfXUU8yZM4d3332XRo0aYbVaufHGG3E6nWW6tslkolGjRqU61mg0nhW31+st9bWKjv3888/p3LlziceKuilFxZIkSghRrRxzHyPVnUqUPor6xvoAZHuz+T73+3Mef9xzHJNiKk6iHKqDNQVriDXEEmeII0wJu+gHdGWjKOXvVguUZs2asWzZMu68887ifX/++SfNmjUr3jYajXg8nhLPW7p0KSNHjuS6664DtDFS+/fvvyQxl0bRGKgz446NjaVOnTrs3buX22+/PVChVWuSRAkhqoUjriOsKlzFIfchAJqZmhUnURG6CEKUECJ0EUTpo4jSRxGti8aLlzR3GonGxOLzHHMfY51jHTi07VAllDqGOnSydqKGvsalflnib5566iluvvlm2rVrx1VXXcXMmTOZNm1aiZl2iYmJLFiwgG7dumE2m4mKiqJRo0ZMmzaNwYMHoygK//73v8vUKlTRatWqhdVqZfbs2SQkJGCxWIiIiOCll17ikUceITw8nP79++NwOFi7di2ZmZmMGTMm0GFXeZJECSGqtMOuw6wqXMVh92EAdOiob6xPnOH04Fy9oufeyHvP+fxGppJdM1bFSgtTC455jpHhycCu2tnp2sku1y5amFvQxdKFEJ2f+qVEmQ0dOpSxY8fyzjvv8Mgjj5CUlMTEiRNLlAR47733GDNmDJ9//jl16tRh//79vP/++9x111107dqVmJgYnnnmGXJycgL3Qv7GYDDw4Ycf8sorr/DCCy/QvXt3Fi1axD333ENISAjvvPMOTz/9NKGhobRs2ZLHHnss0CFXC4qqqmqgg6gMikocZGdnEx4eHuhwhBClMNc+lxRnCqAlT8mmZDpaOhKu98/fsEt1ke5OZ4NjA3tcewAYZhtGTUNNv5z/UigsLGTfvn0kJSVhsVgCHY4QPrnQ73FFfn5LS5QQosoo+k5YNEYp3hDPTudOmpub08HSAZvO5tfrGRUjdYx1qGOsw2HXYVLdqSUSqHR3OjX1NavcmCkhhEaSKCFElXDAdYBVBatINifTwtwC0MY9JRoTCdNVfNGjBGMCCcaE4u1MTyZTcqdQS1+L7iHdiTfEV3gMQohLS5IoIUSl5lbdLClYwmbHZgAchQ6am5qjKAp6RU+YEoCqkUCGJwM9etI8afyY+yONjY3pZu1GhF7q9whRVUgSdRHjxo1j3LhxZ02HFUIEXqYnk9/tv3PccxyA1ubWdLR0DIrus8amxsQb4llRsIKtzq3scu1ir2svV4VcRTNzs4ufQAgR9GRgeSnJwHIhgssO5w4W2BfgwoVVsdIvtF9xyYJgc9x9nKUFS4vLK3SxdKGztfNFnnVpyMByURUEamC5zq9nE0KIS+C4+ziz7bNx4aKOoQ7DwocFbQIFUNNQk+vCrqO9uT0ACoFvKRNClJ905wkhKp2ahpq0M7fDoBjobOmMTgn+74OKonBFyBUkGhOpY6gT6HCEEH4Q/O88QgiB1n2X680t3r7CegWXWy+vFAnUmRKMCcVjtpyqk9n22eR4g6eooxCi9CrXu48Qotpxq27m2+cz2z6b3/N+x6NqkzyCYfB4eS3OX8wO5w6m5Ewh3Z0e6HCEEGUkSZQQImhle7KZnDuZrc6tANQ11q1S44m6WLtQQ1eDfDWfn3J/Yp9rX6BDEkKUgSRRQoiglOpOZUruFE54ThCihHBd2HWVsvvuQmw6GzeF30RdQ11cuJiZN5NNjk2BDqvSGDlyJIqi8MADD5z12OjRo1EUhZEjR/Lpp59is9lwu93Fj+fl5WE0GunevXuJ5y1duhRFUdi5c2eFxy8qv6rzbiSEqDJ2OXcxNXcqBWoBNfU1uS38NuoZ6wU6rAphVswMCRtCsikZFZWF+QtZlr8MqT5TOnXr1mXy5MkUFBQU7yssLOT777+nXj3td6Z3797k5eWxdu3a4mOWLl1KXFwca9asIT8/v3j/okWLiI+P57LLLrt0L0JUWpJECSGCikf1sKpgFR48JBmTuNF24yVZtiWQ9Iqeq0Ou5nLL5QBsdW4l25sd4Kgqh3bt2lGvXj2mTZtWvG/atGnUrVuXtm3bAtCkSRPi4+NZtGhR8TGLFi1iyJAhNGzYkD///LPE/t69e1+y+EXlJkmUECKo6BU9g8MG08HSgUGhgzAppkCHdEkoikInayf6h/bnZtvNROojAx0Sbq/3vDePV/XrseUxatQoJk6cWLw9YcIE7rrrrhLH9OrVi4ULFxZvL1y4kF69etGzZ8/i/U6nkxUrVkgSJUpN6kQJIQLOqTo57DpMA1MDACL0EXSzdgtwVIFxmalkN5JTdQYskZyx69h5H4sNNdMtIbp4+9fd6XjO0wUZYzXRo16N4u3Ze4/j9JRMnK5vUtvnOIcPH86zzz7L/v37URSF5cuXM3ny5BItT7169eLxxx/H7XZTUFDAhg0b6NGjBx6Phw8//BCAlStXUlBQIEmUKDVJooQQAZXrzWVG3gxOeE4wiEHFiZSAA64DzLbPZmDoQBKMCYEOJ2jFxMQwcOBAvv76a1RVZeDAgcTExJQ4pnfv3tjtdtasWUNmZiaXXXYZtWrVomfPngwfPhy73c6iRYuoV68eDRrI76AoHUmihBABc9x9nF/yfsGu2glRQgjRhQQ6pKCyzbGNQrWQWfZZ3GS7iRr6Ghd/kh9d2zj2vI/9vdTEwEa1Sn3sNQ1qli+wc7jrrrt4+OGHAW3h+L9r1KgRCQkJLFy4kMzMTHr27AlAXFwcSUlJLF++nIULF3LllVf6PTZRdcmYKCFEQOxz7ePH3B+xq3aiddHcYruFOENcoMMKKn1C+1BbXxuH6uCXvF/I8+Zd0usbdLrz3vQ6xa/Hltc111yD0+nE6XTSr1+/cx7Tu3dvFi1axKJFi+jVq1fx/p49ezJnzhxWrlwpXXmiTCSJEkJccpscm5iZNxMXLhIMCdxsu5lwvX9XV68KDIqBwWGDidRFFnd7OlVnoMMKSnq9npSUFFJSUtDr9ec8pnfv3ixbtoyNGzcWt0SBlkR9/vnnFBYWShIlykSSqIsYN24cycnJdOzYMdChCFElHHYdZmH+QlRUmpmaMTRsKGadOdBhBS2rzsrQsKFYFSvHPcf5Ne/X4qVvREnh4eGEh58/Ge/duzcFBQU0atSI2NjTXZU9e/YkNzeXhg0bUrdu3UsRqqgiFFUqupVKTk4OERERZGdnX/CPVAhxYaqqsqhgEaFKKB0tHavEGniXQpo7jam5U3Hjpru1O+0s7fxy3sLCQvbt20dSUhIWi8Uv5xTiUrvQ73FFfn7LwHIhRIWze+0YFANmxYyiKPSy9pLkqYziDHEMCBvAHuceWptbBzocIQSSRAkhKliGJ4MZeTOI0kVxbdi16BW9JFA+SjImkWRMCnQYQohTZEyUEKLCHHAd4MecH8n15pLjzaFALbj4k0SpeFUvi/IXccB1INChCFFtSRIlhKgQWxxb+CXvF5w4qWOow822m6v8GniX0ibHJv5y/MUc+5xLXvpACKGRJEoI4VeqqrIsfxkL8hegotLU1FSbXaazBjq0KqWFuQU19TUpUAuYY5+DVy3f+nNCiLKTJEoI4VdLCpawzrEOgM6WzvQN6YtBkeGX/mZQDPQP7Y8RI4fdh1lTuCbQIQlR7UgSJYTwq2RTMhbFQt+QvnSxdpFB5BUoSh9F7xCtOOSqwlUccR0JcERCVC+SRAkhyq3QW1h8v6ahJqMiRtHM3CyAEVUfzczNaGZqhorKbPtsCrwyeF+IS0WSKCFEuWx1bGVC9gSOuo8W7zMppgBGVP30CulFpC4Sh+ogw5MR6HCEqDZkoIIQwide1cvSgqVsdGwEIMWRQrwhPrBBVVMmxcTAsIHo0ROljwp0OEJUG9ISJYQoswJvAdPzphcnUJ0tnbky5MrABlXNxehjql0CNXLkSBRF4YEHHjjrsdGjR6MoCiNHjgTgk08+oVWrVsXr611++eX8/vvvJZ4zbdo0+vXrR0xMDIqisHHjxkvwKkRlJkmUEKJMMjwZTMmdwmH3YYwYGRg6UAaQB5nDrsNMzZ2KU3UGOpQKV7duXSZPnkxBwemxYIWFhXz//ffUq1eveF9CQgJvvfUWa9euZe3atVx55ZUMGTKErVu3Fh9jt9vp1q0bb7311iV9DaLyku48IUSpnfSc5IecH3DhIlwXzuCwwcToYwIdljiDR/UwL38eOd4cFuYvpG9I3yqd4LZr1469e/cybdo0br/9dkBrUapbty4NGjQoPm7w4MElnvf666/zySefsHLlSpo3bw7A8OHDAdi/f/+lCV5UetISJYQotShdFInGRBIMCdxqu1USqCCkV/T0C+2HgsJ253ZSnCk+n8vuw819xvPdp/b9fb7guZ5XHqNGjWLixInF2xMmTOCuu+467/Eej4fJkydjt9u5/PLLy3l1UZ1JEiWEuCCH6ijuFlIUhb6hfaUCeZCLN8TTxdIFgIX5C8n0ZPp0njAfbtPPeP70U/v6/+28ied4XnkMHz6cZcuWsX//fg4cOMDy5cu54447zjpu8+bNhIWFYTabeeCBB5g+fTrJycnlvLqozqQ7TwhxXic8J5iVN4sYfQwDQgegKIpUH68kOlg6cMh9iMPuw/xm/41bbLdU2f+7mJgYBg4cyNdff42qqgwcOJCYmLNbSZs0acLGjRvJyspi6tSpjBgxgsWLF0siJXxWNf+ihBDlttO5k/n2+bhw4Vbd2FU7YYosIFxZ6BQd/UL7MSlnEhmeDJYXLKdnSM8yncOXZY3NZ9y/7tQ5/t7lsd+H817MXXfdxcMPPwzAuHHjznmMyWSiUaNGAHTo0IE1a9YwduxYxo8fXwERiepAkighRAke1cPyguVscGwAIMGQQP/Q/oToQgIcmSirMF0YfUP78kveL+R58/CqXnRK6UdxhJbz+gbO/SFT3vOeyzXXXIPTqXU79+vXr1TPUVUVh8NRAdGI6kKSKCFEMbvXzu/23zni1tZga29uT1dr1zJ98IrgkmhM5FbbrcQaYgMdSoXS6/WkpKQU3/+75557jv79+1O3bl1yc3OZPHkyixYtYvbs2cXHnDx5koMHD3L0qFZ9f8eOHQDExcURFxd3CV6FqGwkibqIcePGMW7cODweT6BDEaJCqarKjLwZpHvSMWGiT2gfGpkaBTos4QdVPYEqEh4eft7Hjh07xvDhw0lNTSUiIoJWrVoxe/Zs+vTpU3zMjBkzGDVqVPH2rbfeCsCLL77ISy+9VGFxi8pLUVVVDXQQlUFOTg4RERFkZ2df8A9ViMrsiPsIi/IX0T+0P9H66ECHI/ws35vP0oKltDO3o6ahJqAVpty3bx9JSUlYLJYARyiEby70e1yRn9/SRi9ENeZSXSUWDq5jqMMw2zBJoKqoZQXL2O7czvz8+XhVb6DDEaLSkyRKiGoq05PJlNwpTM+dToYno3h/Va5uXd11tXbFpJhI96QXr3sohPCdJFFCVEO7nLuYnDOZE54TGBVjtVhjTWiz9bpbuwOwomAFWZ6swAYkRCUnSZQQ1YhH9bAkfwm/2X/DiZN4QzzDwocRb4gPdGjiEmluak6CIQE3bhbkL0CGxQrhO0mihKgmcr25TM2dWlz/qb25PTeE3UCYTgpoVieKonBVyFUYMHDYfZhdrl0AkkyJSi1Qv7+SRAlRTWxzbCPVk4pJMTEodBBXhFwh9Z+qqUh9JJdbtYV3t3i2AJCfnx/IkIQol6LfX6PReEmvK3WihKgmOlo6kq/m09bclkh9ZKDDEQHWxtwGt+qmtaU1JwtPkp6eDkBISIhMLhCVhqqq5Ofnk56eTmRk5DkLrVYkSaKEqKIKvAWsLVxLV2tX9IoenaKjd0jvQIcVVFQVCgshLw/s9tO3om2jERIStFtEBFSl3EKn6Ohk7QRQXI27KJESorKJjIwMSFV5SaKEqILS3Gn8mvcreWoeKio9QnoEOqSAKSyETZtg3Trttn49HD2qJUn5+eAtZbmkkJDTCVVCAtSpc/p+w4bQrBnoKnHvaFZ0FvVi6qH3XNpv8kKUl9FovOQtUEUkiRKiClFVlb8cf7G0YClevETqImlmahbosC6ZwkL466/TCdO6dbB1K7jdF3+uxQKhoRAWpv0bGgoOBxw5AidOaAnXzp3a7Vxq1oQrr4Srr4arroKkJP++toq0MH8hm52bSTYl0ye0z8WfIIQAJIkSospwqA7m2+ez27UbgEbGRlwdejVmxRzgyCrWoUMweTL8+CNs2HDuhCkmBtq3P31r0OB0shQWprUyXeiLbEGBlkwdOQKHD5e8HTmiJWrHj8OUKdoNtGtcdZWWVF15pRZDsGpqbspm52a2ObfRxNSEesZ6gQ5JiEpB1s4rJVk7TwSzDE8Gs/Jmke3NRoeO7tbutDa3rrIDhNPT4aef4PvvYdmyko8VJUwdOpxOmurWrdjxTE4nrFoF8+fDggXa/b8nc23aQN++cPfdcNllFReLrxbmL2STYxMRugjuCL8DgyLfsUXVUJGf35JElZIkUSKYZXmy+D73e8yKmQGhA4gzXPoBlhUtOxumT9cSpwULwOPR9isK9OgBt94K/ftDvXqBHwCemwtLlmhxzp8PmzeXfHzgQHjsMa2lKtCxFnGqTr7J/ga7aqerpSsdrR0DHZIQfiFJVBCQJEoEG6/qLVHn6Yj7CNG6aKw6awCj8i+3G37+GSZNgt9+08YoFenQAW67DW6+WRvcfTGqqlLo8VLg8mDS6wgzXbqWlmPH4I8/tNcxa9bp/c2ba8nU7beDNQj+27Y7tjMnfw5GjNwZcacUYhVVgiRRQUCSKBFMTnpO8lveb3QP6U59Y/1Ah+N3+fkwcSK8+y7s3396f3Kyljjdcgs0bnyB57s87M2yU+DyUOD2ku/2UODyUPRmd1l0KC1qhhcfu+LISSwGPRa9DotBp9036LCZDNhMBr92i+7cCf/3f9rrs9u1fTVqwP33w+jR2qy/QFFVlR9zfyTVk0oTUxOuCb0mcMEI4SdBkUTNmDGjzCfv06cP1mD4euUHkkSJYLHduZ0/7H/gwkWMPoZhtmFVZuxTZiZ8/DGMHasN1AZt1tvdd2vJU8uWp7u/VFUlz+kh1V5IWp6DxAgr9SJCAMh2uFiwP+Oc17AadDSLsZF46tiTBU4WHTxx3pgaRoXQulaE/17kKVlZMGECfPghHDig7TMYtJa1xx6DjgHqTTvmPsaC/AX0sPYgwViKJj4hglxQJFG6MhZAURSFXbt20aBBA58CCzaSRIlAc6tuFucvZotTW6YjwZDANaHXEKoLDXBk5Xf0KLz/Pnz6qVboEiAxEZ56CkaNOt3V5fGqZBQ4STuVONldnuJzxIdZ6FInCgCXx8vWjFxCjHqsBj0hBj1Wo9a6pPtbwun0eDlZ4KTQ46XQ7aHQrf1b4PaS7XDRoXYkCTYtgDynmwM5BSSEWQg3+6eFyu2GGTPggw9g6dLT+2+5RUsmY2PLfYkyU1W1yiTmQgRNEpWWlkatWrVKdWKbzcZff/0lSZQQfpDlyeI3+28c92jNM50snehs6Vzp177buRPeeQe++Uab4QZaa9M//6m1yBjOGLbk9nr5fU86Lu/ptyydAjFWM7XDzMSFmgn18zgnl8eLTlHQ67SEIiUjl5QTWpYXZtRTx2aljs1ChJ8SqnXrtGRq0iStCGhUlNalOWpU4Aage1QPekUKcIrKqyI/v0v9DjxixIgydc3dcccdkmwI4Qc5nhy+z/me457jWBUrQ8OGcrn18kqdQKWkwE03QdOm8MUXWgLVvTv8+qtWLPO221SynE52Z9qLn2PQaWOUzHod9SOsdImPYlCjWK6oG03DqFC/J1AARr2uOIECiLIYqR1mRqdAnsvDjpN5/HEgg/n7MziaW1juleTbt4dvv4XVq6FtW6178+67tVpTu3eX99WUjUf1sLpgNV/nfE2ht/DSXlyISkIGlpeStESJQJprn0u2N5v+of0r9Yyp9HR46SX47LPTJQoGD4ZnnoFu3cCrqhzOKWB3Zj5ZDhcK0K9BLUKMWktIoduDWa8LeFeTy+Mlze7gcG4Bx+wOvCroFYV+DWpiMfin1cbt1ro4X3xRK/ZpsWj3n3hCW9OvonlUD9/nfM8J7wnamNvQM6RnxV9UiAoQFN15RVwuF3379mX8+PFcFowV4yqIJFHiUsr2ZGNSTMXlCtyqGx26Stv6VFiodVO98YZWQwlgyBB49VWt+87h9rAvO589mfk4PNpidjoF6oVbaVrDVpxEBSOXx8vOk3kYdDqa1Agrsd+oL///15498MADWr0pgNat4fPPL83A84Oug0zPm46CwrDwYcTog7jsuhDnERTdeUWMRiNbtmwJ+DdBIaqqPc49fJ/7PXPtc4u7hwyKoVImUKqqFcds0gSefVZLoNq1g0WLtPpPLVvCMbuD3/emsy0jD4fHi0WvIzkmjP4NatEuLjKoEyjQuvya1wwvkUAdz9de086TeXi85Wvsb9gQ5s6Fr76C6Gitu7NLF3j88dOD8CtKPWM9GhoboqKyOH9xubsrhahqfHpXvvPOO/nyyy/9HYsQ1ZpH9bAkfwmz7LNwqA4K1UIcquPiTwxSy5drH/bDhsHBg1pBzG++gTVroFv30x/GURYjCgqRFiMdakdyTcNaNK1hw+ynbrFAOJBdgNursuV4LvP3H+dIOcdLKQqMGKGNJRs2TBt0/sEH0KJFyRl9FaGHtQd69Bx2Hy5el1EIofFpTNQ//vEPvvnmGxo1akSHDh0IDS05xfq///2v3wIMFtKdJypSjjeH3/N+J82TBkBbc1u6WbtVyllRe/ZoY5ymTtW2w8K02XaPPw5uvYutGbk4PV561K1R3KJtd7kJMeirTAu3qqoczClg6/FcCk91T8ZYTbSqFU6kpfwDmn7/XeviO3hQGx81YQLccUe5T3teKwpWsLpwNTadjeHhwzEql2BQlhB+UpGf3z5NZ9myZQvt2rUDYOfOnSUeqypvgkJcKvtc+5hrn0uhWohJMdE3pC8NTQ0DHVaZ5efDa69pU/JdLtDp4J574OWXIbyGh5QTuRzILgBAAbId7uKEItRYtRa7VRSF+hEh1LFZ2HHSzq6TeWQUOPnjQAYta9poHF2+yQH9+8PWrTBypJasDh+uzd578cWKKYXQwdKBbY5t5HvzSXWnUs9Yz/8XEaISktl5pSQtUaIieFQP3+Z8S7Y3m1r6WgwIHUCE3v/VsSva77/DQw/Bvn3adr9+WjJ1WTNt0PXuTDtFQ4Piwyw0r2nDdgnXrgu0fJebzcdzOZJbSPu4COqfqpZeXl6vNtbs7be17dtvhy+/BLPZL6cv4YjrCKG6UCL1kf4/uRAVKKhm51VXkkSJinLMfYztzu10s3bDoFSuxOLoUW2Jkh9/1Lbr1tXWhRsyBHIcLhYfPFFcHDPGaqJFTRvRVlPgAg6wjHwnMSGnX7+/KoN//rm27p7bDVdcAdOnQ4xMpBMCCMLuPIAFCxawYMEC0tPT8Xq9JR6bMGFCuQMToqra79pPvjefZHMyALGGWGINAVjboxw8HvjkE/jXvyAnB/R6LZl66SVtDBSAzWTAatBjBZrXtBEXaq723f1nJlCFbg/LD5+kZc1waoWWr+no3nshKQluvBGWLdMG9P/2G1RUFZo0tzZ2L84QVzEXEKKS8CmJevnll3nllVfo0KEDtWvXrvZvjEKUhlf1sqJwBWsL16JHTy1DrUpZd2f9erj/fli7Vtvu1AnGj4d6TZxsPWmnQ0gkep2Coih0TYjGagh8ccxgtONEHtkON8sOn6RFTRuNo0LL9XO6+mr4808YOFAb3N+li9Yi1dPPNTK3O7YzJ38ONXQ1GBY+rFKW3hDCX3xKoj799FO++uorhg8f7u94hKiS8rx5/G7/naPuowC0MLcgUhcZ2KDKKDcXXngBPvxQG4sTHg5vvgmj7vGScjKXRQfzAYjIzKNpDRtA0Nd4CqQWNcNxe1UO5BSw5XguWYUu2sVFYtD5nkglJ8PKlVp36qpV0KePtqzOnXf6L+5EYyJmxcwJ7wlSnCk0Nzf338mFqGR8+grhdDrp2rWrv2OpcPv27aN3794kJyfTsmVL7Hb7xZ8kRDntd+1nUs4kjrqPYsLEgNAB9ArpVanGP82YoX1Af/CBlkDdeiukpKgMuD2fBQfT2Z+tJVD1wq0k+mnQdFWn1ym0i4ugda1wFOBwbiGLD2aQ73KX67yxsbBwobY2ocul1Zd64QWt8Kk/WHQWOlq0cukrC1biVssXrxCVmU9J1D333MOkSZP8HUuFGzlyJK+88grbtm1j8eLFmCtiCosQZ1hRsIJf8n6hQC2gpr4mt4XfRmNT40CHVWoZGVpxxyFD4PBhaNAAZs+GTya62Ok6wfq0bJwelXCTgR51a9ChdqTf1o6rDhRFoWFUKFfUjcas15HtcPPHgQwyC13lOq/VCpMnw3PPaduvvqqVm/jb8FWftTa3JkwJI0/NY6Njo39OKkQlVOqvwmPGjCm+7/V6+eyzz5g/fz6tWrXC+LfVMIOx2ObWrVsxGo10794dgOjo6ABHJKoDPVpC0dLckh7WHpWq9WnqVG3GV3q6VvPpySe1geNWK/x5OJeThS4MikKzmDAaRoWik3FPPqsZYqZ3/RhWHsnE7fUS6oduUJ0OXn8dGjXSBp5PmAAREfDee+WvJWVQDFxuvZx5+fNYW7iWFqYWWHSWcscsRGVT6paoDRs2FN/++usv2rRpg06nY8uWLSUe27hxo0+BLFmyhMGDBxMfH4+iKPz8889nHfPxxx+TlJSExWKhffv2LC3Dege7du0iLCyMa6+9lnbt2vHGG2/4FKcQF3Nm90ZHS0euD7ueK0OurDQJVHo63HyzNtMrPR2aN4cVK1XeeFPFqq2HTOta4dS1Wbg6qSaNo8MkgfKDEKOenvVq0K1uNCY/LFxcZNQorXYUwPvva4tA+0NTU1Nq6GvgUB2sKVzjn5MKUcmU+l194cKFFRkHdrud1q1bM2rUKG644YazHp8yZQqPPfYYH3/8Md26dWP8+PH079+fbdu2Ua+eVj23ffv2OBxnrzU2d+5cXC4XS5cuZePGjdSqVYtrrrmGjh070qdPn3PG43A4SpwrJyfHT69UVFVe1cvKwpXsc+3jZtvNGBUjiqJQ11g30KGViqrClCnwj39o3Xh6vVbIccwzbrZmZrMxXU/7uEgAQk0GOsZHBTbgKkivUwjVnX5bPpCdj16nkGCzluu8I0ZAVpZWhuL55yEqSmtlLA+doqObtRvz7fOJ0svvgqieylRs87nnnmPo0KF06tSpImNCURSmT5/O0KFDi/d17tyZdu3a8cknnxTva9asGUOHDuXNN9+86DlXrFjByy+/zOzZswF45513AHjqqafOefxLL73Eyy+/fNZ+KbYpzuXvs+/6hfSjqblpgKMqvbQ0ePBBKGoAbtUKJkxUiUzKZ8vxXDyqil6Bfg1qyZinS+R4voOlh06iAJ3io6hjK3932YsvwiuvaN15330Ht91WvvOpqoobt6ylJ4JaRRbbLFObcWpqKoMGDaJ27drcd999/Prrr+ds+fE3p9PJunXr6Nu3b4n9ffv25c8//yzVOTp27MixY8fIzMzE6/WyZMkSmjVrdt7jn332WbKzs4tvhw4dKtdrEFXXAdeBErPv+of2rzQJlKrCt99qM+9+/hkMBm3c08LlbvJiTvBXeg4eVaWG1cSViTUlgbqEYqwm6oVbUYHVRzNJzSss9zlfegkeflj7f7/zTq0gZ3koiiIJlKjWyjRIY+LEiaiqyrJly5g5cyZPPPEER44coU+fPlx77bUMGjSImApYayAjIwOPx0NsbMmqzrGxsaSlpZXqHAaDgTfeeIMePXqgqip9+/Zl0KBB5z3ebDbL7D1xQUXdd0XjQWrqa9I/tH+l6do4dgzuu08rXwDQrp3W+mSpY2fJ0Vy8KhgUheY1bTSIDJGCmZeYoii0j4vAq6oczi1k1dFMusRHERfme4uUosDYsXDyJEyaBDfcAHPnwqn5Nj5TVZWdrp0ccR3hytAry3cyISqRMo9eVBSF7t278/bbb7N9+3ZWr15Nly5d+Pzzz6lTpw49evTg3Xff5ciRI34P9u9v4mVdd6p///5s3ryZLVu2BOUMQlG5LC1YWpxAtTS35GbbzZUmgZo6FVq00BIok0mbxbVyJTRNVtl1arHgWiFmrk6KoWE5K2kL3ymKQofakcSHWfCqsPJoJsfs5Wv91+ngq6+0yuaFhTBoEGzYUL44c725zLXPZbNzM4dc0movqo8yJ1Eul4vevXuzc+dOQBuX9PTTT7N8+XIOHz7MiBEjWLp0Kd9//73fgoyJiUGv15/V6pSenn5W65QQl0o7SzvCdeH0D+1faWbfZWXB8OHazLuMDGjdGtasVXn2WRWjEcwGHW1jw2kfF0G3hChCjMH/mqo6naLQKT6S2mFmvCqsOHKSXGf5Clwajdqi0d27a2sf9usHp97SfRKuD6eFuQUAywqWIevai+qizEmU0Whky5Yt5/xmWrNmTe6++25++eUXnnzySb8ECGAymWjfvj3z5s0rsX/evHmVsnK6qJy8qpd9rn3F2zadjTvD7+QyUwWt8upn8+dDy5bwv/9prRHPPQdzljg5FpbBkTPG29SxWakfId13wUSnKHSqHUVcqJlGUaGE+aGOlNUKM2dCmzZw/Li2RMzhw76fr7OlM0aMpHvS2eXaVe74hKgMfCpGcuedd/JlUeERP8nLy2Pjxo3Fdab27dvHxo0bOXjwIKAV+/ziiy+YMGECKSkpPP744xw8eJAHHnjAr3H83bhx40hOTqZjx44Veh0R3PK8eUzNm8qMvBnsce4p3q9Xgn+gdX6+Vrag6EOyUSNYukxl2GM5LE89Qa7TzfaMPGk9CHJ6nUKXOlE0j7H5LcGNiIA5c+Cyy+DgQe13JCPDt3OF6EJob2kPwJ8Ff+JRPX6JUYhgVqYSB0X+8Y9/8M0339CoUSM6dOhAaGhoicd9GW+0aNEievfufdb+ESNG8NVXXwFasc23336b1NRUWrRowfvvv0+PHj3KfC1fVOQUSRHc9rv2M9c+lwK1ABMm+oT2oZGpUaDDKpVVq7RZWEVdNaNHw/OvudiWnUW2Q+sSqmuz0Co2ArMfCzyKiufxqqxNy+Ky6FCiLKZynevAAbjiCi3J7tIFFi/WxsqVlVN18nX21+Sr+fSy9qK1pXW54hLCHyry89unJOpcyU7xCRWFP/74o1xBBSNJoqofr+plReEK1hauBbTZdwNCBxCpjwxsYKXgdGrrpb3xhrZeWnw8fDlBJbFDHikZeaiASa+Nf6pTzkKOIjC2HM9h50k7Fr2O3vVjsJazi2/7drj8cm3c3EMPwUcf+XaeTY5NLMxfiFWxMipilJRAEAEXdElUdSRJVPWS681ltn12cfHMVuZWdLd2rxSDx1NS4I47YP16bXvYMO0D0WN2sOTQSQBqh5lpGxshdZ8qMZfXy+IDJ8hxuomyGOlRtwZ6Xfm6+X79VZutB9rYudtvL/s5PKqHOfY5tDC3oJ6xXrniEcIfgqbYphDVRZo7rbh45oDQAfQO6R30CZSqwrhxWr2n9eshOlpbxuW777RlPmJCzDSOCqVDXARd4qMkgarkjDodl9eJwqRTyCx0sf5YdrnHtQ0cqC0LA9qixZs3l/0cekXPgLABkkCJasHnlqgFCxawYMEC0tPT8Xq9JR6bMGGCX4ILJtISVf2sL1xPA2ODStF9l5YGd90Fv/+ubfftC5986SaNHNrERhDih9lcIjil2x0sP3wSFWhR08Zl0WHlOp/HA/37w7x50LgxrFmjDUD3lUt1SZeeCKiga4l6+eWX6du3LwsWLCAjI4PMzMwSt6pEZudVD7neXGblzcLutRfva2dpVykSqF9+0UoX/P47mM3w4Ycqn0zOZ0t+Bml2B3+lZwc6RFGBaoWaaVVL+2DYcjyXtHIuD6PXa9XM69aFXbtg1CitlbOsVFVlZcFKvsz+kixPVrliEiJY+dQSVbt2bd5++22GDx9eETEFJWmJqrr2ufYx1z6XQrWQBsYGDA4bHOiQSiUvD8aMgc8/17Zbt4avv/Ngj8gm7VRV6xpWEx3iIgg1BXdXpCgfVVXZcCyb1DwHneOjiAkp32w9gNWrtWKcTie8/TacZ632C/o592cOuA/QzNSMvqF9L/4EISpA0LVEOZ1OKXIpKj2P6mFZ/jJm5M2gUC2klr4W3a3lXETsElm1Ctq21RIoRdE+4GYsLOSwWWt90ila106PutGSQFUDiqLQJjaC3vVj/JJAAXTqpK2zB/DPf8KiRWU/RxdrFwC2O7eT6alavRRCgI9J1D333MOkSZP8HYsQl0yuN5epuVNZ51gHQGtza26y3RT03XduN7zyCnTrBrt3Q0ICLFgAjzxfwNr0TBweL+EmA73rxXBZdJhUHa9GdIpSYuxbntONt5wDze+/X1smyOuFW26Bsi6JGmeII8mYhIrKqsJV5YpFiGBU6q+oY8aMKb7v9Xr57LPPmD9/Pq1atcJoLDloUBb3FcHsmPsYP+f9TKFaiAkTV4deTWNT40CHdVF792qlC1as0LZvvRU+/libeefxWgg3GagVaqZ5jK3cU91F5XY0r5C1R7NIjAwpHi/lC0WBTz+FjRu1mXo336y1SBnLME68i6UL+1z72OHcQSdLJ6L10T7HI0SwKXUSteFvy3y3adMGgC1btpTYL998RbCL0kdhVayE68IZEDqACH05ph5dIv/7n1ZtPDcXwsPhk09ULh9QQGSEFVDQ6xR614+R5EkA4FVV3KrK7kw7EWYD9SNCfD5XSAhMnQodOsCff2pdxx98UPrn1zLUoqGxIXtce1hVsIr+Yf19jkWIYCPFNktJBpZXbnavnRDl9KK6Od4cQpSQoK/9lJ2tJU9FvedXXAFffOPmqC6LzEIXzWNsNKlRvintomralpHL9hN56BToXrcGNazlGyv1yy8wdKh2f/JkrXuvtI67jzMpdxJ69IyKGEWoLvTiTxLCT4JmYPlzzz3H6tWr/RqAEBVtr3Mv/8v5Hxscp1tTw3XhQZ9ALV8ObdpoCZReD6+8ojLxZzvbXRlkFrow6hRCpf6TOI9mNcKIDzPjVWHlkUzyXeVbEHjIEG2AOcDdd8O2baV/bk1DTXqH9GZ4+HBJoESVUqYkKjU1lUGDBlG7dm3uu+8+fv31VxwOR0XFFhSkTlTl5VE9LM1fykz7TArVQnY7d+NVvRd/YoC53fDSS9CjB+zfD0lJsHi5h6vvymRTRg4eVaVmiImrEmuSEC7r3olzUxSFDrUjCTcZcHi8rD6aWe6B5q++Cr17g90ON94IBQWlf24rc6tK0XUuRFmUuTtPVVWWLVvGzJkzmTFjBkeOHKFPnz5ce+21DBo0iJiYmIqKNaCkO69yyfHk8Lv9d9I8aQC0Mbehm7Vb0Lc+7dunrVdWNHh8+HB49T0HW7KzcHi86BRoHmOjUVSojD8UpWJ3ullwIAO3V6V1rXAaRpWvJSg9XWshTU2FJ56Ad98t+zlyPDmE6+V9VFwaQb0AcUpKCjNnzuSXX35h7dq1dO7cmWuvvZbbbruNOnXq+CvOgJMkqvLY49zDvPx5OFQHZsVMn5A+NDQ1DHRYF/X3weOffgq33QbZhS4WHswg1GigY+1IIi2yhIYom0M5BWQ7XCTH2ND5IfmeNQsGD9Zm7y1Zoo3VKw1VVZltn81O105utd1KrCG23LEIcTFBnUSd6fjx48yYMYMZM2bQvXt3nnzySX+dOuAkiaoccr25fJ39NR48xOpjGRA6IOi/8WZnw0MPaQsFg1YD6qtvvTRKOt3bnm53EG01YZDZdyJIjBoFX30FjRppJRBCS9nANcc+h+3O7SQZk7g27NqKDFEIIMiSKJfLRd++fRk/fjyXXXaZX4MJZpJEVR4bCjeQ682lm7UbeiW4B16vXAnDhmndeHo9vPiiyq2j80k5mcsVCdFEl3NGlRB/51VVjuYWlns8XVYWtGihFeB85JHT1c0vJtOTybc536KicovtFuIMceWKQ4iLCZrZeQBGo5EtW7bIeAwRNHY7d3Pcfbx4u62lLT1CegR1AuXxwOuva90g+/ZBYiIsWubhylGZbM7Iwe1VOZBThlG7QpSCV1VZcvAEq1OzOJidX65zRUbCl19q9z/8sPTLwkTpo2hqagrAyoKV5YpBiEDzadmXO++8ky+L/nqECBC36mZx/mJ+tf/Kb/bfcKrOQIdUKocPw9VXw/PPa8nUbbfB/FWFZMdkcOzUuneta4XTphyVpoU4F52iEBtqBmBjeg52p7tc5+vXD+69V7s/apS2KHZpdLZ0RkHhgPsAR91HyxWDEIHk01Qlp9PJF198wbx58+jQoQOhf+sMl2VfREXL8mTxu/130j3pADQ0NkRP8LY8FZk+Xauxk5mpjSEZ97FK6345/JWptQqEmwx0jI8kwiyDx0XFaFIjjPR8BycKXKxJzaJHvRrlGmz+7rswZ45WjuPpp7WliC4mQh9BsimZrc6trCxYyfW2632+vhCB5FMStWXLFtq1awfAzp07SzxW1br5xo0bx7hx4/B4yleoTvjPTudOFtgX4MSJRbHQN7QvScakQId1Qfn5MGYMjB+vbXfooBXRNNUqYF2alkA1jAqhRUy4LN0iKpTuVP2oBfszOFnoYvuJPJJjbD6fLzwcJkzQWlc/+QSuv167fzGdLJ1IcaaQ4cnA7rVLEU5RKcmyL6UkA8sDr6j7botTW68x3hDPNaHXYNP5/gFwKWzapHXZFVV4fvpprWihyaRN+V6Xlk2CzUJcmCWwgYpq5VBOAWtSswDoWa/8y8I89JDWClW3LmzZoiVXF3PAdYB4QzxGRVpeRcWpyM/vclUe3LZtGwcPHsTpPD0WRVEUBg8eXO7AhPg7PXpyvDkAdLR0pIulCzrFp2F9l4SqwkcfaQu2OhwQFwdff+elVvNcdAYboCuuKi3EpVY33Eqa3cGhnAI2pGVzVWJMuXoS/vMfmD0b9u7VinB+/vnFn1PfWN/n6wkRDHxqidq7dy/XXXcdmzdvRlEUik5R9AdYFbu+pCUqcLyqtzhZsnvtnPCcoJ6xXoCjurCMDLjrLpg5U9seOBDe/8zBroIsCt1eEiOstIuLDGiMQrg8XtanZdO8po0wU/mr+S9ZAj17avd/+w369y/d81RV5ZD7EHUNdavckBAReEFV4gDg0UcfJSkpiWPHjhESEsLWrVtZsmQJHTp0YFFp57kKcRFO1clc+1wW5i8s3heqCw36BGrRImjdWkugTCb48P9U3pyQw+bckxS6vdhMehpEyvgPEXhGvY7OdaL8kkCBtt7jo49q9++5R5tAcTGqqvJD7g9Mz5vOIfchv8QhxKXiUxK1YsUKXnnlFWrWrIlOp0On03HFFVfw5ptv8sgjj/g7RlENZXgymJwzmRRnCludWznhORHokC7K7YYXXoArr4SjR6FJE1i2xk3zwSfYlWkHIDEihN71Y2TpFhGUjuc7yl324I03oHFj7W/g8ccvfryiKMXLv6wpXFOuawtxqfmURHk8HsLCwgCIiYnh6FGtzkf9+vXZsWOH/6IT1Y6qqmxxbGFyzmQyvZmEKqFcH3Y9NfQ1Ah3aBR08qK1u/+qr2liou+6COcsdHLVkkFXowqhT6BwfSbu4CAy64B3HJaqv/Vn5LD10krVpWZRnvlFIiLYcjKLA11/DjBkXf047Szt06DjsPkyqO9Xnawtxqfn0bt6iRQs2bdoEQOfOnXn77bdZvnw5r7zyCg0aNPBrgKL6cKpOZttnsyB/AR481DfUZ1j4MBKMCYEO7YKmT9dWtV+2DGw2rXTBl19CbIQBg04hxmriqsSa1LGVb5kNISpSzVATBkXhRIGLvVnlq2betas2uBzg/vu1JWIuJFwXXlzFfHXh6nJdW4hLyack6vnnn8fr9QLw2muvceDAAbp3785vv/3Ghx9+6NcARfWgqio/5/7MTtdOFBS6WbsxJGwIIbqQQId2XgUFMHq0VhcnMxM6dYJVG9zcdpv2uMWgp2e9GnSvG02IMfgLgYrqLdRooHlNrVzI1oxc8l3lmyD06qtal3ZamtbNfTEdLB1QUNjv2l9iGSchgplPSVSzZs0YOnQoAA0aNGDbtm1kZGSQnp5Oo0aN/BmfqCYURaGDpQM2nY0bbTdqb6hBPEtn2zbo3FkrLgjw9NMqX83MY7v7OIfPWPMuzGQI6tchxJkaRIYQbTHi9qpsPJZdrm49i0Ur8QEwbhz89deFj4/SR9HY2BiQsVGi8vApiUpKSiIjI6PEvujoaE6ePElSUnBXji6rcePGkZycTMeOHQMdSpXjVJ2kudOKtxuYGnBn+J3EG+IDGNWFqSp88YVWcXzzZoiNhd/neRj88ElSMnNRgfR8R6DDFMIniqLQLi4CBUizOziSW1iu8119Ndx0E3i9WjHOi+VkHa3a+2y2Nxu3Wr4B7kJcCj7VidLpdKSlpVGrVq0S+w8cOEBycjJ2u91vAQYLqRPlX8fdx/nN/hsFagHDbMMI1wf/zzQ7G+67D374Qdvu2xfGflnInsJsHB4vegVa14qgfoRVWp9EpZaSkUvKiTzMeh19kmpi0vs+GeLwYWjaFOx2baD5nXde+Phj7mPU0teSvyHhN0FTsXzMmDGA9m3lhRdeICTk9HgVj8fDqlWraNOmjV8DFFWLqqpscW5hcf5iPHgIU8IoUAsIJ7iTqFWr4NZbtUVWDQZ4402VfsNz2ZalfWGIMBvoWDuScFk4WFQBl0VrixTXjwjBWM61HBMS4N//hn/+U6vef+21EBl5/uOLyh0IURmUKYnasGEDoH0Qbt68GZPp9FpLJpOJ1q1b8+STT/o3QlFlOFQHf9j/YKdLW7Q60ZhI35C+WHXBO2vN64V33oHnn9fqQCUlweTJkNTCydJDWgLVMDKEFjVl4WBRdeh1Cj3q1vBba9Djj8PEibBjhzbIvDTzj5yqk1R3qiwNI4KaT915o0aNYuzYsdWqW0u688qnqPsuy5tVPPuunbldUDfZp6VpXQ/z5mnbt9wC48dDRIS2vS0jl0iLkXhZOFhUcS6PF0VRMJTji8L8+dCnD+h0sH69VtX/fHK8OUzKmYRbdTMqYhShOqnwL3wXdMu+TJw4URIJUSZbnVvJ8mYRpoRxo+1G2lvaB3UCNXeu9iY/bx5YrfDFRC/PfJCNMeT0tO/kGJskUKLKO2Z3MG//cVIycst1nrIMMrcpNqJ0UXjwsKFwQ7muK0RF8imJKigoID//dDG2AwcO8MEHHzBnzhy/BSaqliusV9DW3JZh4cOCevad0wlPPw39+kF6OrRsCcvWukjokcG+7HzWppavmrMQlY1XVSl0e9mVaSez0FWuc/33vxAaCsuXw7ffnv84RVHoaNFm6m1ybKLQW75ZgkJUFJ+SqCFDhvDNN98AkJWVRefOnXnvvfcYOnQonxQVzhHV2jH3MebZ5+FVtaKsBsVAj5AeQT3+ad8+6N5dGwMFMHq0yuR5eRzQZ2B3ebAa9DSPsQV1C5oQ/lY7zEKCTWtxXZ+WhbccXyKKBpmDNsj8QpXMk4xJxOhjcOFio2Ojz9cUoiL5lEStX7+e7t27A/DTTz8RGxvLgQMH+Oabb6RieTWnqiobCzfyQ+4PbHNuqzRvfj/+qC3dsnq1NnNo6s8ehj2byfYsrfZTfJiFqxJjqBFiusiZhKh6WtUKx6RTyHa42XWyfCVsHn9cq2Seng4vvnj+485sjdro2IhTdZbrukJUBJ+SqPz8fGw2bXmAuXPncv3116PT6ejSpQsHDhzwa4Ci8ij0FvKr/VcWFyzGi5eGxoYkm5IDHdYFFRTAAw/AzTdDTo625teK9S7MzTM4ZnegU6BNbDid4yPLVStHiMrMYtDTspY2DjblRC55Tt8LYZpMpyuZf/TRhSuZNzI2IlIXiUN1sNmx2edrClFRfPpUaNSoET///DOHDh1izpw59O3bF4D09HQZcF5NpbnT+D73e/a49qBHT09rTwaGDsSiC96B1ykp2tIt48drK84/+ywsWgSN6xsw63XYTAZ614+hQWSodOGJaq9euJVaISa8KqxPK9+SMKUdZK5TdMVr6uV583y+nhAVxack6oUXXuDJJ58kMTGRTp06cfnllwNaq1Tbtm39GmCgybIvF5fiSOHH3B/J8eYQoYvgJttNtLG0CdrEQ1Xhq69OL91Sqxb8Ns/D66+rGI1ajZyuCVH0rh9DhBTPFEFqP/DzJbyeoii0jY1AryhYDDo85ZxgUdpB5k1NTRkePpyeIT3LdT0hKkKZ6kQ999xzDB06lE6dOpGWlkZqaiqtW7dGp9NysdWrVxMeHk7Tpk0rLOBAkTpR53fcfZwpuVNoYGzAVaFXYVbMgQ7pvHJzYfRo+N//tO2rroKxEwvYW5hN4+hQmtawBTZAIUphPPAA0B1Ycsb+DoARSAIanPFvA6Ae4I+vNfkuNyHGMtVpPq///EerZF6rllaI80KVzIXwVdAs+5KamsqgQYPQ6/UMHjyYIUOGkJycjNmsfWh26tTJr8GJ4FXgLSieaVfTUJPbwm8jWhcdtK1PABs3amOfdu3SCv69+prKNSNz2JGjles4ZndwWXQYuiB+DaJ6UYENwDS0hKnfqf3d0boRup5xrBNYf+o5K89xro7Af4De5YzJXwkUlKxk/uKLMHbshY/P9GRSoBYEdZkUUb2UuWK5qqosW7aMmTNnMmPGDI4cOUKfPn249tprGTRoEDExMRUVa0BJS5RGVVU2ODawomAFN9huIM4QF+iQLkpVYdw4eOIJrQ5UQgJ8+4MbT+1Msh3aANnLokNJjrFJAiUCTgX+BKaiJU9FU3VuBqacccxJoMYZz/MAfwH7Tt32/u3fogpP/YG3gFbljDPf5WHL8RwaR4cRZfG92/vMSuZ//QUtWpz7uL3OvcyyzyJSF8kd4XegU2Sihyidivz89mnZlzOlpKQwc+ZMfvnlF9auXUvnzp259tprue2226hTp46/4gw4SaK02Xfz8uex17UXgDbmNkE/TiEzE+6+G6ZP17avvVbljY8L2G3PwaOqmPU6OtSOJDY0eLsgRfVxEhgBzDpjXwha4nMbcIOP5z0GvIrWDehG69a7E3gFrZvPF+tSsziQU0C0xUjPeuVbZ++GG2DaNBg4EGbNOvcxTtXJhOwJOFQHA0IH0NjU2OfrieolqJOoMx0/fpwZM2YwY8YMunfvXqUWI67uSVSaO43f7L+R681Fj57u1u60MrcK6u67P/+E226DgwfBaNSKaN7zoId5+9PxqlAzxESH2pFYDfpAhyoEa4Gb0AaMm0/dvx6tCy/ET9fYBTwP/HBquy2wDt/GShW4PMzddxyPqtIhLoJ6Eb5HuXMnJCeDxwMLF0KvXuc+bkXBClYXriZOH8fNtpuD+v1HBI9Kk0RVZdU1iVJVlY2OjSwrWIYXLxG6CPqH9ifWEBvo0M7L64W334bnn9felBs2hClToH177fG9WXacHi9NosPkTVgEnAp8BjyCNq6pAfATWoJTUdYATwOPAUNO7XMAXqAsawrsOJHH1oxczHodfZNqYixHLbWHHoKPP4aOHWHVKq3syN/ZvXYmZk/Eg4cbbTdSx1B1ejtExQm6BYhl7bzqY69rL0sKluDFSyNjI24Lvy2oE6hjx+Caa7SaTx4PDBum8vNSO0nJp6sdN4jUZuFJAiUCzY7WrfYAWgI1BK1lqKILxXQE/gCuPWPfOKAJML0M52kUFUqYUY/D42X7ifLVcXrhBQgLgzVrtBUEziVUF0ozUzMA1heuL9f1hPAHWTtPXFADYwMaGxvTy9qLAaEDgrp8wbx50Lq19q/VChO+9vLQfzLZmZPD6tQsXF5voEMUotguoDPwP0APvI2WwEReousrnO7GU4FvgUNAShnOodcptDpVyXx3pp3cclQyj42FohEgzz2nTQI5l3aWdoD2BS/Tk+nz9YTwB1k7T5SgqipbHFuK16lSFIX+of1pbWkdtC03brf2ptuvn9YS1aIFLFnrJK7bcdJOLd3SOCoUQ5DGL6onC9qA7zi0VqGn8E8dJ18oaDMCfwSeLeNz48IsxIWaUaHcrVFPPKElU3v2wGefnfuYKH0UDYwNMCtmTnpOlut6QpSXrJ0nihV4C5hhn8GC/AUszF9YvKxDsCZPoA0a79kT3nxTK2Vw/wMqk+blclB/ggK3lzCjnl71YmgYJUu3iMA7sy20LjATrQ5Uj8CEU4IVuJHTiVwu8DKnSyNcSKta4VwWHUqb2PKNNwkLg5de0u6//LK2nuW59ArpxV0Rd9HQ1LBc1xOivGTtPAHAEdcRJuVMYr9rP3r01DbUDnRIF/Xzz1r33Z9/Qng4/PCTl9ufO8mubO3bcL1wK1cmxhBZjho2QvjLYeAK4Jcz9nVBa4kKNipaSYWXgMHAxdqXwkwGWtQMx6grf+2mu++Gyy6DjAxtRu252HQ2TIqp3NcSorzKvXZe586dq/TaeVWdV/WyumA1U/OmkqfmEaWL4hbbLUFdvsDhgEcfheuug6wsbTbPhg1w4/UKekW7tY+LoEPtSAx+eFMXwh/eAFagzYgrTetOICnAQ2ilFeagVTlPL+VzVVUl2+H7KzQatZZl0NbXS0298LUOuA7gUoP9JyqqKp9KHBw8eBCDwcCxY8fOWjsvIiKCJk2a+D3QQKuKJQ7sXjuz7bM57D4MQDNTM3qF9Arqb3i7d8Mtt8D6UxNznnxK5ZVXwGrREj6H24vT68Vm8t/SFEL4gwv4N3AfWhmDymA1MBDIABqhJVQXit3p8fLn4ZNkO9z0SapJiNG3GmyqCt26wYoVcN99MH78uY+blTeLPa499LL2orWltU/XElVf0JU4SEpKwmAw0LZt2+IECqBhw4YkJyf7LThR8U56TmLESN+QvvQN7RvUCdTkydCunZZA1agBM2e7GfDQCbZmZhcfYzboJIESQcON1jUG2sLAb1F5EiiATsByIBHYjbZW34YLHG/UKSiKgkdV2XL8PAOaSkFRtFpvAF98ASnnmTJY11AXgA2ODXhVmX0rLj2fkqjzNV7l5eVhsVjKFZCoWGf+34XqQhkYNpBbw2+lmblZAKO6sPx8uPderfp4bi507w4L1hbgbZBBZqGL1LxC8l2eQIcpRAletCVcHkRb166yugxt5l5rtNmEPdFmE56Loii0PlXy4HBuIcfzHT5f94orYMgQrXjus+eZMphsTsaiWMj2ZrPHtcfnawnhqzJ9ZR8zZgyg/aG88MILhIScLvPv8XhYtWoVbdq08WuAgTZu3DjGjRuHx1OZ3wY1Od4cZufNpo2lDZeZLgMI+tXQt22Dm2+GrVu1b6f/flHl2vty2JOjFXuNthjpFB/lc7eBEBXlKWAS2pvsPUCHwIZTLrWBxcBQYBFwDVp9q5vPcWykxUhSZAj7svL561gOVybG+Lyw95tvwsyZ8MsvsHy51sV3JqNipJW5FasLV7OucB2NjI2CdiynqJrKNCaqd+/eACxevJjLL78ck+l014/JZCIxMZEnn3ySxo2r3sKQlX1M1F7nXubmz8WhOghTwhgZMRK9EryJh6rCV19pS0EUFEBcHHw92YWuXhY5pwr6NYkOpVmMzec3aCEqyrtoSRRoRSzvCGAs/uQAhqPVk9IDc4Erz3Wcx8u8vek4vSqta4XTMCrU52vedx98/jlcfrmWSP39z73EUjBhN1LHKEvBiJKCbu28UaNGMXbs2EqZTPiqsiZRHtXD8oLlbHBoIxli9bH0D+1PhD4iwJGdX24uPPggfPedtt2nD3zzjcrG/OPkuzyY9To61I4kNjR4q6eL6utbtKVcAN4Bqs4y7BoP2uubBESjDT4/V7WmvZl2NqbnYNQp9G1QC7OP6+odPQqNGmlfpqZN02bl/t0C+wK2OLeQZEzi2rBrzz5AVGtBN7B84sSJlSqRqK6yPdn8kPtDcQLV1tyWm2w3BXUCtWkTdOigJVB6PbzxBsyeDXFxCm1jI6gVYuaqxBhJoERQmgPcder+GKpeAgVaC9SXaIPOT6KN+zrXN/GkyBAizAZCjHocbt+HQ8THa5XMAf75T3Cdo5pB0VIwOZ4cKXcgLimfWqIAFixYwIIFC0hPT8f7tzXJJkyY4Jfggklla4nK9+bzdc7XOFUnZsVM35C+NDAF77wgVdVm4TzyCBQWQkICfPujiyYtPNQOs5xxnCpjHkRQWoNWT8kODENrkarKVcpS0br2PkYbfH4uBW4PFr2u3H+zOTnQsKFWgPOTT+CBB84+5pj7GLX0teT9QZwl6FqiXn75Zfr27cuCBQvIyMggMzOzxE0EXoguhOam5tTW12ZY+LCgTqDy8mD4cG3sQ2EhDBigMmuFnazoDNakZpF3xqKm8gYpgtEuYABaAtUHmEjVTqBAG2w+n/MnUABWg94vf7Ph4fDCC9r9l17S3jP+LtYQK+8P4pLzqSWqdu3avP322wwfPrwiYgpKlaElKtOTiV7RE67T4vOoWhN6MA8g37wZbroJduzQuu/eesdL15uySLNrU6Nrh5lpHxeJycfxFEJUtDS0+kn7gPbAQsAW0IgCYx5aVfPbz/GY2+tl10k7cWFmoiy+1aJzOiE5WVuc+I03zl/2wKW6OOE5QZwhGBfUEYEQdC1RTqeTrl27+jUQUT7bHdv5Pud7ZufNLpE8BWsCparw5ZfQqZOWQNWpA/OWO2l+bQZpdgc6BVrXCqdLfJQkUCJoFQCD0BKohsCvVM8EaiXQH2082LpzPL7leC4pJ/LYnJ573jqDF2MynV6c+N13tQkof3fSc5IJ2RP4Je8XGRslLgmfPp3uueceJk2a5O9YhA/cqpv59vnMyZ+DCxd6RR/0bx55eXDnnXDPPVr33TXXwMwVeWRFnqDA7SHUqKdnvRgaRoVK87wIag+iJQ010AaVxwY2nIDpBAxBW7S4xTkevyw6FJ0CGQVOjtl9L8B5663a4sQnT8JHH539eKQuErNiplAtZJtjm8/XEaK0fFofo7CwkM8++4z58+fTqlUrjEZjicf/+9//+iU4cWGZnkx+tf/KCc8JADpZOtHZ0hmdErwtN1u2aN1327dr3XevvQZPPw1bMryo+ZBgs9A2NgKjtD6JSuBmtNanHzj3NP/qQgd8j7a0zbm+9oQYDTSMDGVXpp0tx3OJDTX79AXJYIB//1sbQ/nuu/Dww2A7o+lPp+hoa27LooJFrHesp6W5ZVC/H4rKz6cxUUVFN895QkXhjz/OtyhA5RVsY6K2O7fzh/0PXLiwKlauCb2GesZ6gQ7rvP5ePDM+Hr6frNKju/ZG6lVVjuYWUsdmkdYnUankAWGBDiLIeNDqSN3O6e4Op8fLnL3puLwq7eIiSIwIOf8JLsDthubNYefOc4+NcqkuJmRPoFAtZEDoABqbql7xZ1E2Ffn57VNL1MKFC/0ahCgbj+phXeE6XLhIMCRwTeg1hOp8rwhc0fLyYPRo+PZbbbvfNSqvj7djx4FXjUanKOgUhYRwa2ADFaIUDqItLFw031USqJJU4FbgJ7RZi6+c2m/S62haI4zNx3PZlpFLgs2KQef/1qgzl4LZULhBkihRoXxu51y6dCl33HEHXbt25ciRIwB8++23LFu2zG/BiXPTK3oGhA6gi6UL14VdF9QJVFHxzG+/PTX77l0P//rsJAcKcskocHI0tzDQIQpRagXAdWjr4Mk73bkpwMBT918FppzxWIPIUEKMegrdXnZnnqNOQSldbGxUK3MrdOhI9aRyzH3M5+sIcTE+JVFTp06lX79+WK1W1q9fj8OhDRTMzc3ljTfe8GuAQrPDuYP1heuLt6P0UXS2Bu/4J1WF8eNLzr6bu9xBiyEZHM93olegXVwEdWyWi59MiCCRi9Z8rwfqBjiWYDaS09XaRwE7Tt3X6xSax9hIsFlIsPne8lzUGgXnnqkXqgstboE64j7i83WEuBifxkS1bduWxx9/nDvvvBObzcZff/1FgwYN2LhxI9dccw1paWkVEWtABWpMlFt1szh/MVucW1BQuNl2c9DXP8nJ0QpnTjn1FXTQIJUXx+VxsED75mkzGegcH0m42XiBswgRnAqB3Zx7Fpo4zQNcg1aQszNay51P40fOd36PVjfqfGOjsjxZqKhE6aP8eFVRGQVdnagdO3bQo0ePs/aHh4eTlZVV3pjEKZmeTKbkTmGLcwsAHS0dqaWvFeCoLmzdOmjXTkugDAbtW+LLn+cUJ1D1I6z0rh8jCZSoVE6ecd+CJFCloQcmAOHAKuDd8xzna90ovf50FfNztUZF6iMlgRIVzqckqnbt2uzevfus/cuWLaNBg+BdXqQyKSqemeHJwKpYGRo2lMutlwd1993//R907apVFK5fH5Yu1RYObRwVilmvo0NcBO3jIn0aTCpEoBwEmgLPobWuiNKrC3x46v6LwOYzHst3eViTmsXq1Cyfz3+xsVFFcr25uFX3+Q8Qwkc+fSLff//9PProo6xatQpFUTh69CjfffcdTz75JKNHj/Z3jNXOwvyFxcUzEwwJ3B5+O/WN9QMd1nllZsINN2iLBzudcN31Kn+sctCli/a4zWzgmga1qOfjlGYhAqVoIPlxYDbgDGw4ldKdwGC0n90IoKgUsMvr5VBOAUdyCzlZ4NtP9mKtUQCL8hcxMXsiu5y7fLqGEBfiUxL19NNPM3ToUHr37k1eXh49evTgnnvu4f777+fhhx/2d4zVTg19DQA6WzoH/ey79eu17rvp07VlGcZ95uYf/z3BxqyTZOSffmPUS+uTqGRU4H5gPRADTAekCEfZKcBnQDSwAXj91P4Is5H6EdpPdPNx35eDuVhrVIgSgorKRsdGn68hxPn4NLC8SH5+Ptu2bcPr9ZKcnExYWNWtmFKRA9NUVaVQLcSqsxZvn/CeIEYf49fr+NtXX8EDD4DDAQ0awFdTC8kKzcLlVTHqFDrUjqR2mMy+E5XTWOAxtLE984DzlxgWpTEFrX6UAW2tvfZoXXrz9qXjUaFLnSjifXy/+O47uOMOiI6G/ftL1o3K9+YzIXsCHjzcZLuJeEN8uV+LqFyCbmB5kZCQEDp06ECnTp2qdAJVkZyqk7n5c5mcOxmHVysVoShKUCdQTqdWPHPUKC2BGjJU5fuF2Ry3ZuLyqkRZjFxZP0YSKFFpzQGeOHX/XSSB8odbgJvQCpWOABxAiFFPoyitpX3r8Ry8FdAaFaILoYmpCQAbCzf6GL0Q5+ZTEjVq1CgWLFggTaPldNx9nMk5k9nu3E6uN5dD7kOBDumijhyBnj3hk09AUeDN99z84/0MDhfkA9og8p71ahBq8udkZiEuna1oa+J50D7sHw1sOFXKx0AtwA4cOLXvsugwTHoduU4PB3MKfDrvxcZGtTG3AWC3aze53nMMnBLCRz4lUSdOnGDgwIEkJCTwxBNPsHHjRj+HFTzGjRtHcnIyHTt29Ns5VVVli2MLU3KnkOnNJEwJ44awG2hkauS3a1SExYu18U8rV0JkJPz6K9x8l4NshxuTXuHyOlG0rBWOTta+E5XUcWAQkAP0QBvLI7/N/hMD/A5sAi47tc+o19EkWmuN2ptpr5CxUTUNNUkwJKCissmxydfwhTiLz2OisrKy+OGHH5g0aRJLly6lSZMm3HHHHQwbNozExEQ/hxl4/upTdagO/rD/wU7XTgDqG+rTL7Rf8XioYKSq8MEH8NRTWoG7Vq1g2jRo2FBLCHeczKNeeAghRn2gQxXCZ4XAVcCfQEO0cTvB26letXi8Knsy7SRFhmDU+z7K5EJjo/Y49zDLPotwXTgjw0fKQufVSEWOiSrXwPIihw8f5vvvv2fChAns2rULt7vq1ePw13/CwvyFbHJsQkGhq7Ur7c3tg/qP2W6He+6ByZO17Xse9HDXszl0iI8o15udEMFERZuK/z8gAi2BahrQiKo+FfgUOAT4a7GwC1Ux96petjq3cpnpMsyK2U9XFJVB0A4sB3C5XKxdu5ZVq1axf/9+YmNj/RFXldXF0oXa+trcZLuJDpYOQZ1A7doFXbpoCZTBAOMnFXLt48dJzS/kr/ScQIcnhN+8gZZA6YGfkATqUlgFjAbeBNacsV9VVewu376IX2hslE7R0dLcUhIo4Vc+J1ELFy7k3nvvJTY2lhEjRmCz2Zg5cyaHDgX/4OhLyaE62OTYVNzPb9VZucl2E7UNtQMc2YXNmAEdO8KWLRBfR2Xm6hxi2mmz7yItRprVkNmYoupohLacy8fA1QGOpbrogjZofyxauQPQSh4sPHiCRQdO4PZ6fTrvmWOjxo079zGqquJUpXSqKD+fuvMSEhI4ceIE/fr14/bbb2fw4MFYLFV7OrsvzYHp7nR+s/9Gtjebq0Ouprm5eQVHWX5uNzz/PPznP9p2nwEenhqbRa5He8NpEBlCy5rhUjxTVDkHgXqBDqKa86oq8/Ydx+7y0DzGRhMfv6x98w2MGAGxsdrYqDM/ntLcaSzMX0iYLozBYYP9E7gIahXZnefTPPQXXniBm266iagoWdzxXFRVmwGytGApHjzYdDai9dGBDuuijh3TvsUtWqRt/+s1J11uziTX48WgKLSLiyAhPHgHwAtRFofQuu+KSi9KAhVYhUCqotCsRhhr07LZdTKPBj4ONL/tNu3L4KFDWkJ1332nHzMrZtI96aR70sn2ZBOhj/DfixDVjk/deffddx9btmzhjjvuoGvXrhw5cgSAb7/9lmXLlvk1wMrGoTr4zf4biwoW4cFDA2MDhtmGBX333bJl0LatlkCFhcGUKfDvZ/TodBBuMtA7MUYSKFFl5KKVMuiENt1eBNZ6oDnaOoXx4VZsJj1Or8ruTLtP5zMaYcwY7f4772gDzotE6aOob9DWIv3L8Ve54hbCpyRq6tSp9OvXD6vVyvr163E4tErbubm5vPGGv+ZZVD5p7jQm5Uxit2s3OnT0sPZgUOggLLrg7epUVXjvPejVC1JToV1HL2vWwM03g9mgp3tCDXrVj8EmxTNFFZKFthCuG4gMaCQCtFbAk8BfwBeKQrMaWm2CXZl2nB7fxkbdcw9ERcHu3dranmdqY2kDwFbHVhkbJcrFpyTqtdde49NPP+Xzzz/HaDQW7+/atSvr16/3W3CVjVN1kuPNIVwXzk22m2hraRvUs++ys+HGG+HJJ7Vvao//28FL3x3HWju/+Bib2YBBxj+JKqYusAJtTTzpxgu8GOCVU/efB0JsFiLMBtxelZ0n83w6Z1gYPPywdv8//9G+MBapb6hPpC4SJ05SHCnlCV1Ucz4lUTt27KBHjx5n7Q8PDycrK6u8MVUqXvX0t6R6xnr0D+3PsPBhxBniAhjVxW3erM2+mzYNLFaVr2fncMXtJ3F5vezLypclfUSVtPmM+xFAy0AFIs7yIFqX3gngpTNaozLynT6/H/3jH2C1wtq1sHDh6f2KohQvBbPRsVHe74TPfEqiateuze7du8/av2zZMho0aFDuoCqLfa59fJPzDVmerOJ9laGQ27ffQufOWh2oVu09/LjmBGGJ2tiDBpEhdK9bI6hb0ITwxX+BVmgFHkXwMaCVOwCt1MSJMDNd60TRs57v70c1a8Jdd2n3i2YcF2lmboZJMZHlzeKg+6CvYYtqzqck6v777+fRRx9l1apVKIrC0aNH+e6773jyyScZPXq0v2MMOm7VzeL8xczIm0G2N5vVhasDHVKpeL3wxBNw551QUAD3PVHIq5OO4zS4MOgUOsdH0iY2QsoXiCrnE+CJU/fTAxmIuKCr0AaXe4DHFYXYMEu5v9CNGQM6HcydCxs2nN5vUkx0t3ZncOhg6hrqlusaovryedmXf/3rX7z//vsUFhYCYDabefLJJ3n11Vf9GmCwKKozsf/kfpbrl3PccxzQVgfvZu2GQQnugdf5+dqaUkUDLF9/x03TwdpriLIY6VQ7klAZPC6qoInAqcYI/olWnVy+JgSvfUAzwAFMQ0uq3F4vJwpcxIb61sp/223aygu33QaTJvkvVlE5BO3aefn5+Wzbtg2v10tycjJhYVW3inXRf8I7+9/BGG7Eqli5OuRqGpiCv/vy2DG49lpYvRpMJvjqK+3NZOvxHDwqtKhpQyfdd6IK+h64HW2dtkeB95EEqjJ4HngdSALWuz0s35+B0+OlX4OahBjL/mVvwwZo105rkdq9G5KSzj5GVVUZxlBFBe3aeSEhIXTo0IFOnTpV6QTqTB48JBgSGBY+rFIkUNu2aevfrV4NXa50MHehh9tu0x5LjrHRqla4JFCiSpoODEdLoO5HEqjK5FmgDlqr1DiDnnCzARXYfsK3mXpt20LfvtqQhvfeK/mYS3WxomAF3+V+h1v1bc0+UX2VOonatGkT3jKsZbR161bc7qr3C9nJ2onrwq4jTBf8SeMff0DXrrB/v8qdj9l56uOTeOJP4vZqjY/yrUtUVb8Bt6CNrbkTbaCy/LZXHqHA26fuvwFExmgz9Q5kF5Dn9O1z5ZlntH8nTIDjx0/v16MnxZnCCc8Jdjl3+RyzqJ5KnUS1bduWEydOlPrEl19+OQcPVr0ZD+0t7dEp5WrAuyS+/hr69QN7vsrLn2cz5IEcAGwmg3yYiCptAXA9WjHNm4EvKWeTuwiI24BuQD7wltVEbKi5XK1RvXtDhw7apJr/+7/T+3WKjhamFgBsckj9elE2pe5cVlWVf//734SEhJTqeKdTqsAGgqrCiy/Cq69CVC0P/5mUSY0EFwAta9poFBUqLVCiyloGXIs2KHkI8D98XCBUBJwCfAhcCbQGmsWEcczu4GBOAZdFhxJuNl74BH8/n6K1Rt10E3z0ETz9tFaQE6C5uTmrCleR5kkj3Z1OLUMtP78aUVWV+v2lR48e7Nixo9Qnvvzyy7FaZa21S8nhgLvvhu++g8atnbwyMRNTiBejTqFTfJTPM1uEqAxWAwPQWi6uAaYAZfuYFcGmHdpC0TYAi4naYWZS8xzsOGmnY+3IMp/vuuugcWOtRt4XX8Bjj2n7Q3WhNDI2YqdrJ5scm7jacLXfXoOo2kqdRC1atKgCwxDllZkJQ4fCkiWg16u89nkOhhAv4SYDXepEESblC0QVtxRtYeHeaFPj5StD1WA7437TGjZS8xx4VdWn2XR6vbbM1f33w3//Cw89pC1WDNDK0oqdrp3scO6gu7U7Zp38BomLk6ECVUB2NvTpoyVQ4eHw++8Kg9pEUj/CSs/6NSSBEtXCE8B3wAxA2sCrnnnA9RYjnRvUpHN8lM/DEu68E2Jj4dAh+P770/vj9fHU0NfAjZttzm3+CVpUeZJEVXJ5eTBgAOzc42XgsHyWLtUSqhCjgfZxkRh18l8sqq7ZQNYZ28OA4J83K8rKAzwCLALG+VAn6kwWCzz6qHb/7be1sgegzVZuZ25HC1ML6hqlgrkoHfmErcQKCrQimgePuXhnagZ3vZBNTIPCQIclxCXxHTAQGIQ2DkpUXXq0dfUeBZ46tc/ucnM4p8Cn8z34INhssHUr/Pbb6f3J5mSuCr2KGH1MOSMW1YVPSdTll19OTk6Ov2MRZeBwwPXXw0mngzennKBmHQ+hRj1hRn2gQxPikmgJhKMtESKjV6q+vsAHQBSQ63Azd+9x1qZlUej2lPlckZHauCg4e2FiIcrCpyRq1apVxWvmnSknJ4ennnrqHM8Q/uRywa23ghpp51/jTxISplLDaqRXvZgyT/sVorJqBawHPkNrqRDVR5hJj8VqxKvCrpN2n87x2GPaoPJly+DPP0s+luZOY659Lnle32pSieqjTEnU9ddfz1tvvYWiKKSnn70Wut1u57///a/fghNn83hgxEiV6ORs7nspB70B6oVbuSKhBmaD9M6KqssDPIY2C69IElKJvLrZClylKLwfHwXA3qx8HO7Sr6ZRpE4dGD5cu//uuyUfW1awjBRnClscW8oZrajqyjRCr379+syaNQtVVWndujU1atSgdevWtG7dmlatWrFp0yZq165dUbFWe14v3HMP7Dzq4LkXtFEgzWNsXBYtBTRF1eZEW75lCvANsBeIDGRAImCMwBLAY9BzbbiF+JxCdmfaaV7TdrGnnmXMGG0ZmF9+gf37ITFR29/K3Ioj7iNscWyho6UjekXaOsW5lSmJev/99wEwm80sW7aMo0ePsmHDBjZu3Mj06dPxer28/fbbFzmL8IWqwsMPw1dfgU5nQT0eSpfWRurYZDK3qNrygRvQZuIZgU+RBKo6uwwYAUwAptQM5/GcQvZk2WkcHYpJX7bW+ObNtdnM8+ZpVcyLWqQaGhsSooRgV+3sde2lsamxv1+GqCIUVVXVsj7J7Xaj1+urVetHTk4OERERZGdnEx4efkmvrarw0n+c/Pc/BuzZOr79Fm6//ZKGIERAnERbxmU5EIJWRLNfQCMSwWA/WjLlAt5JzaJBTgHJMWE0rVH21qhff4VBgyAiAg4fPr0UzJ8Ff7KmcA0JhgRusN3gx+jFpVaRn9+lTtu7du3K6NGj+eyzz1i/fv05B5aLivH+hAKaDTjBU2Mz+fwLVRIoUS3sBbqiJVCRaMUWJYESAInAfafuT65pQ69T0Pk4Oq5/f20pmOxsbeH2Ii3MLVBQOOw+zEnPyfKGLKqoUidRQ4YMISsri7Fjx9KtWzfCw8Np1qwZt956K2+99RazZ88mNTW1ImMtlx07dtCmTZvim9Vq5eeffw50WBfkdKn83w85JF6RhckMDZMURowsc8OhEJXOKqALsAOoizYGpmtAIxLB5jnAAqwz6KFBLS6r4VuZVZ0OHnlEuz927Onim+G6cJKMSQBscmwqf8CiSvKpO2/dunUMGTKEHj16YDQaWb9+PVu3bkVRFGJiYjh27FhFxOo3eXl5JCYmcuDAAUJDQ0v1nEvdnXco1cP0NVkkNHECkLkrlLsG2qpVF6qonqYCdwCFaAvQzgTiAxqRCFZPAe8CbYG1+F49Oi8PEhK01qhff9VWgQA44DrAfPt82lna0dbS1i8xi0svKLrzznTfffcxbtw4Jk2axNdff83mzZuZNWsWtWvX5t577/VrgBVhxowZXHXVVaVOoC61P1Y6mbcng4QmTgrzFdz7Irl7ULgkUKJKU4H3gJvQEqhBwGIkgRLn9wzaMj8bgGmqSrrdwdHcsg81CQuDu+/W7n/wwen99Qz1GBUxShIocV4+JVEpKSm0atWqxL4BAwbw8ccfs2rVKp8CWbJkCYMHDyY+Ph5FUc7Z1fbxxx+TlJSExWKhffv2LF269OwTlcIPP/zALbfc4tNzK5KqwnvvqWw6nk1kTS/phwwkW2pw8zUyA09UbR7gYeBJtGTqYeBnZB08cWExwOOn7j/nVVl8+CR/pWfj8ZZ92MPDD2tde/PmacvBgLaenk6R+nvi/Hz67ejcuTOffvrpWftbtmzJhg0bfArEbrfTunVrPvroo3M+PmXKFB577DH+9a9/sWHDBrp3707//v05ePBg8THt27enRYsWZ92OHj1afExOTg7Lly9nQFF7bZDIzoYbb4Qnn1T47xOR7N9g5dZONWjTTCqQi6pPh1bKQAHeBz5EqpCL0hmDthTMLr2OVZEhFLi9HPRhTb2kJBgyRLv/4YclH/OoHnY5d3Hcfbzc8YoqRvXBtm3b1PDwcHXEiBHqX3/9pXo8HrWgoEAdPXq0Wq9ePV9OWQKgTp8+vcS+Tp06qQ888ECJfU2bNlX/+c9/lunc33zzjXr77bdf9LjCwkI1Ozu7+Hbo0CEVULOzs8t0vdJYs9mp3nK/XQVVNRpV9aOPVNXr9ftlhAhqDlVVFwY6CFEpvaGqKqqq1nV71Cnbj6q/7zmmenx4E128WFVBVa1WVc3IOL1/oX2h+sHJD9TZebP9FrO4dLKzsyvs89unlqhmzZqxatUqDh8+XDzTzWazMWHCBN58802/JnkATqeTdevW0bdv3xL7+/bty59/X/ToIkrblffmm28SERFRfKtbt26ZrlNa3/2azy53Btc/nE33fk6WLoWHHgIZ/iSqur+AB9C68gBMQK+ARSMqs0eAWsBhncKuMAv5Lg+HfWiN6t4d2rSBggL4/PPT+5uamgKwy7mLQq+U9xGn+dzZ27RpU+bPn8/+/fv58ccfmT59Onv37mXYsGH+jA+AjIwMPB4PsbGxJfbHxsaSlpZW6vNkZ2ezevVq+vW7eLWZZ599luzs7OLboUOHyhz3hdgLVMb+kI21UTZmK6TuNjHlGwOdO/v1MkIEpXygLzAe+E+AYxGVXyhaBfO/FIUbLdoQiB0n81DLOPlcUbSFiQHGjdMWeweI1ccSo4/Bg4cUZ4rf4haVX5mSqOeee47Vq1eX2FevXj2uvfZaBg0aVOHr5v19dpqqqmWasRYREcGxY8cwmUwXPdZsNhMeHl7i5i9/bXfz1eIM6rbOx+uFY1vCeGhQNLVryQBGUT2EAP8H9AYeDHAsomoYCLQEGkSGYNQp5Do9HMkre6vRrbdCrVpa9fJp07R9iqLQwtQCgK2OrWVOzkTVVaZP7dTU1OJk6b777uPXX3/F4XBUVGzFYmJi0Ov1Z7U6paenn9U6FcxUFb6Zkc+2wgxqJ7nJy1Kwpkfz4A02DAbpvxNVmxPYfcb2zcB8tEHBQviLUa/DUCMMg1mPzodxEWYzPHgqsx879vT+puamGDBwwnuCVE/wFpYWl1aZkqiJEydy7NgxfvjhByIjI3niiSeIiYnh+uuv56uvviIjI6NCgjSZTLRv35558+aV2D9v3jy6dq0cdYwzM+Hmm2HKTypmq8rh7SZ61KnJwJ7mQIcmRIXLAPoAPYAjZ+yXtlfhb68Ag6NC2Vq/JvFhFp/O8cADYDTCihVQ1PliVszFCxFvcWzxU7Sisivze5iiKHTv3p23336b7du3s3r1arp06cLnn39OnTp16NGjB++++y5Hjhy5+MnOkJeXx8aNG9m4cSMA+/btY+PGjcUlDMaMGcMXX3zBhAkTSElJ4fHHH+fgwYM88MADZX0JZTJu3DiSk5Pp2LGjz+dYslSldWv46SeY+30IaWsieWhQNIkJMolbVH3bgM5oS7fkUbI1Sgh/SwI8isKWcszOiYuD227T7p/ZGtXS3BKAXG+udOkJwMdlX87n+PHjzJgxgxkzZtC9e3eefPLJUj930aJF9O7d+6z9I0aM4KuvvgK0Yptvv/02qamptGjRgvfff58ePXr4K/wL8qVsvNOl8sUveXhCC3j6phgSauuYNAnKkY8JUan8DtwK5KB9uM0Emgc0IlHVedCWgOkMeLwqB3LyibGaCDeXrebe+vXQvj0YDLB/P9Spo43DzfRmEq2ProDIRUWpyGVfypRE3XXXXYwdOxabzebXICqDsv4n7NjnZu7WLOo01qZ3bPwtgqfuCaEa/uhENaQCH6BVIPeideNNRaswLcSlsi4tiwPZBdQLt9KhdmSZn9+jByxdCv/6F7z2mv/jE5dG0Kyd9/XXX1NQUPbaG9XND3MKWHMigzqNXeTnKTj3RvLK45JAierBCdyHVknaC9wNzEMSKHHphUaEsN1q5FBOAfkuz8Wf8DdF5Q4+/VSrHXWmQm8hed688gcpKrUyJVHSB3xhuXkqY3/MwpCYRYhN5ehuIx2iYri1v6x9J6qHDLT6T1+gvbn8F/gcrZCmEJfSMqCN1cTY+CicwJ5Me5nPMWQI1K8PJ07ApEmn9292bOaL7C9YWbDSb/GKykkmx/jJzp3w+pc51G1VgNcLqZvDuLdPDZo2MAQ6NCEuiU1AR2AxYEMb//Q42np4QlxqHdDKZ6Qb9CwNt7IvOx+nx1umc+j18I9/aPc/+EArUwMQrY/Gg4cdzh041Iov8yOCV5mSKEVRylTcsrr44QdtAOKnr4ZxaKcB24loHrrRhtkkPytRPfwIXA7sBxoAK4DgWuJbVDcWtCQeYEaNMJxelX1Z+WU+z913Q2gobNkCCxdq++L18UTronHjZodzh99iFpVPmZpJVFVl5MiRmM0Xrm00rajMaxUwbtw4xo0bh8dzdn96fqHKe+MLeeExrbuuRzs9N7WPIT5ekidRfajAZLSlXPqcui9zl0QweAB4AzhkMrAmzExIpp1GUaHodaV/j46MhJEjtWVgxo6FK6/UGhSam5uztGApWx1baWVuVUGvQAS7Ms3OGzVqVKmOmzhxos8BBau/j+7fsc/NvJQs4hu6+ODJSK5oaeWVV7TpsEJUN7nAp2jf/OVPQASTf6ElUpcVupiQkUu7uAishrLV6Nu+HZo1A50O9u2DevWgwFvAl9lf4sHDrbZbiTVUntUzqpugKHHQtWtX2rRpQ5s2bWjdujWtWrXCaq0+A6bP/E9YtM5EdlgWoeEq9hyFiLxIru3tW2VcISqjncBXwOvImCcR3NKB+kAhsAC40sfzXHUV/PFHyXIHs+2z2eHcQQtTC64Kvcov8Qr/C4oSB0OGDCErK4uxY8dyxRVXEB4eTrNmzbj11lt56623mDNnDqmpVX89ofHTc3DHZxIarnJ0j5HONWMkgRLVSi7QDXgT+CjAsQhxMbWAe07df7Mc5xk9Wvv388/B6dTuFy1KvMu1C49a9hIKovLzqWL5unXrGDJkCD169MBoNLJ+/Xq2bt2KoijExMRw7Nixiog1oIoy2W/X7iAkzMaRTSHce204FrN8DxfVz8fAd2gFNOMCHIsQF7MfaIRWzXyp20Pt3EIaRoWW6Rwul1buIDUVJk+GW27RxglvcmyikakRobqynU9cOkHREnWm++67j3HjxjFp0iS+/vprNm/ezKxZs6hduzb33nuvXwMMNgV5Ct4DkfzjpghJoES1kQ/sO2P7QbRSBpJAicogERh26v7TBS7+Ss/hZIGzTOcwGuG++7T7H3+s/asoCq0trSWBqsZ8SqJSUlJo1arkbIQBAwbw8ccfs2rVKr8EFqxahdfgxr7VZyyYEHvRuu/6Apmn9inIAHJRuTxz6t+VYWaOGPXsPFn24pv33qvVjlqyRCt58HdetWx1qETl51MS1blzZz799NOz9rds2ZINGzaUO6hgMm7cOJKTk/n/9u48Poo63ff4p7o7nT2BsMkWBEEgMIDsjsLghoKKuG+D4HbEw4yHy8z1jsd7LnO943Gu1xmduYg7Cgw6CAoet0FRFARFQHA5LMoaIGhYsyedTtf545dmEZXuTneql+/79cqrqitVlSfwS+dJ1a+eZ0hj1+DeZ+hXh6SOtzFFCzcAZZx4NUokkfQBxgG2ZbG4IIeSyloqff6wztGxo6liDqYVTFCJv4RXKl7hw5oPoxavJIaIkqiZM2fy5JNPMmnSJL744gsCgQC1tbU88sgjZGcn12XNKVOmsHHjRtasWeN0KCLNJgD8AbgUc/VpKPAZMNDJoESa6L7G5Y5sL37gmwiuRgUnmM+ZAxUVZt1v+9nj38Pmus3U2/VRiVUSQ0RJVO/evVm9ejV79uxhwIABZGZmkpuby6xZs3jooaY8/yAiTjsCjAf+DVNI8y5gOdDJuZBEomI4sBT4uL4BD7CrvJpaf3hP1Z1/PvTsaRKoefPMts6ezuS78vHh42vf19EOW+JYxL3zevXqxdKlS9m5cycLFixg0aJFbN++nZtuuunUB4tIXPoK0//udSAdeA5TRPOnexSIJI4LgLaZXlpmpBGwYXuYrWAsCyZPNutPPGH66QUrmAN8VfcDk6UkaTW5AXFhYSHjxo3jsssuo3379tGISUQcMB8YBmwFCoGPgNscjUgkNizLorAgmx0ZaREVi504ETIz4YsvYNUqs63IW4QLF982fMuBhgNRjVfiV5OTKBFJbPXANOAGTCmDC4F1mAnlIsnoa+DcnAz+vbAVnVvnhn18y5YQvOkSLHeQ7cqmW1o3QFejUomSKJEUdgTTNPjRxte/A/4BtHYqIJFmcAaQY1lkWxbfRHiOu+82y4ULobTUrPdNNxXMN/s247fDe/JPEpOSKJEUloN5E8jBVB9/CAivNatI4nEDb2FuXQ+wbQ5U+8IuvjloEAwdalrAzJpltnX2dKZHWg9+kfmLaIcscUpJ1Cl8v06USKKzMe0vwBTMnA+sAa5yLCKR5tcD8AJbD1exfPdB/vNARdjnCJY7ePJJaGgAl+VibM5Yeqf3xmOppmAqiKh3XiqKZe8dkeZSA0wGclHzYBGA8voG/u93ZQysquPC01uTn54W8rE1NaYA5+HD8MYbcOmlMQxUIhZ3vfNEJDF9DMzBlC3Y5HAsIk4LAMPT3Px7pwK+zPKy7XB4xTczM+G2xkdYgxPMAaoD1XxW+5kmmKcAJVEiKeR84BHgXaC3w7GIOM2F+ZkAeLNlNsXlNdT5w+t/F6wZ9fbbsKOxL1JxfTEralbwae2n6GZPclMSJZLEAsAfgZ3HbfsNcJ4j0YjEn3sal+uy09njcbOjLLzim927w+jRpujmU081bvN2x2t5qQhUsNu/O7oBS1xREiWSpA4Dl2P6hV2NqQclIic6E9Mj0rYs3m6ZzfYjVQTCvHoUnGD+3HNQVwcey0NPb08ANvo2RjdgiStKokSS0OeYYplvARmYv7ZDny4rklr+pXG5LD+TWpeLqvrw+uldeil07gwHDpi6UQB9vKYNzFbfVmoDtVGMVuKJkiiRJPMCptHqdqArsAqY6GRAInHuQqAIqHG52Hl6a3K94ZUn8Hjgn/7JrAcnmLd1t6WVuxUNNLDFtyWq8Ur8UBIlkiRqgTuBWxvXxwBrgbOcDEokAVjA1Mb1/29ZhHcdyrjjDpNMrVoFn3/e2JS48WqUbuklLyVRIklgO/Bz4FnML4QHgDeAAieDEkkgN2N+XnYCiwM2+6vrwjr+tNPg6qvNevBqVC9vL7x4aeFqoTYwSUpJ1CmoYrnEu9eBQcB6TM+7JcC/oR9ukXBkAXc1rv++rp6Pdh+iOsy5UcF+evPmQUUFZLoyuaPFHYzJGaMK5klK77OnMGXKFDZu3MiaNWucDkXkBH7gX4FxmEbCw4HPMA2FRSR8/4xphfRVppdt6R62Hwmv+ObIkdCzJ1RVwd//bralWXqkI5kpiRJJUI9hGgaDefruQ6CzY9GIJL5OwLWN62+2zGZnWTX+QOjlDizLzI0CeOaZEz93qOEQ+/37oxKnxA8lUSIJagpwLvB34C+YZqoi0jTBcgdrczKoCNjsLq8J6/iJEyEtDdasMRPMAb6o+4K55XNZWbMyusGK45REiSQIG1iIqUIOkAksB653LCKR5DMMmAW8V15Nug3bDleF1bqlTRsYP96sB69GFXoKAdjl30VFoCKq8YqzlESJJIiJmFsNDx63zXIoFpFkdiswIC8Lt2VR7vOzv9oX1vF33mmWf/sbVFdDC3cLOnk6AbCpTq2/k4mSKJEEcQGm6ngrpwMRSQFet4su+ZlUuSz214SXRF1wAXTtCmVlxyqYF3mLAFMzSk2Jk4eSKJE4duC49YnAFswTRCISW5uAu9vk8cgZ7ShqnRvWsS4X3H67WQ/e0uvu7Y4XL2WBMvb490Q3WHGMkiiROFQD3IGpNn788zxdnQlHJOW0BT53WWxyWXwdwfG33gpuN3z0EWzaZEodnOk9E1AF82SiJEokzmzDVB9/DtgLvOdsOCIpqRXmydddQE+g1t+APxD46YOO06GDaUwM8OyzZtkn3bSB2VO/hwY7kuYyEm+URInEkcWY6uMbgDbAO8ANDsYjksrGAe2BjQcqeHtbKTuPhFfuIDjBfPZsqKuDdu52XJ59ORPzJ+K23FGPV5qfkiiROFAP/HfgSqAMOAfTxuVCJ4MSEQAyPC7K3BbbjoRX7uCSS6BjRzh4EBYvNk2Ju3m7qQVMElESdQrqnSexthfz5N0jja+nAcuAjo5FJCJBB4A787P4Vde2HPAHKA2j3IHHA7fdZta/X8Hctm3q7froBSqOsGw9axmS8vJy8vPzKSsrIy8vz+lwJEm8A/wSM3k8D3geuMrRiETkeAGgN/A1cPt3Zdzub+DsjgUhH79rlyl3YNuwdSuccQZs9W3lo5qP6JbWjZFZI2MVujSK5e9vXYkScYAf+J/AJZgEagCwFiVQIvHGxbFWMG+3yKakso7q+tAnhXfpAqNHm/XnnjNLt+WmLFDGZt9mTTBPcEqiRJpZOWau04OYVi53AR8DPZwMSkR+1AQgByhJ9/BVlpcdR6rDOj44wfz556G+Hrp4upBlZVFj17Czfme0w5VmpCRKpJnlALmNyxeBJ4EMRyMSkZ+Si0mkAJa0yKK4vCasCeaXXw5t28K338Kbb4LLctHL2wuATT61gUlkSqJEmkEDpoAmmB+62Zjbdzc6FpGIhOPuxuWanAx6d2mNZYXeudLrhUmTzHpwgnnv9N4A7KjfQU0gvNIJEj+URInE2LfAaMxtu+DfrgWYAn4ikhh+hik94rcs5nrC/9V5xx1m+Y9/wO7d0NrdmrbutgQIsMW3JaqxSvNREiUSY98AHwCvANudDUVEmiB4NeopzMMhgTBu6fXoAaNGQSAAs2aZbcGmxLqll7iURInE2AjgGcztuzMcjkVEIncN0BpT2+2P+8v5/LvysI4PTjB/7jloaIAzvWdS5C1iROaIsOZYSfxQEiUSZWWY2k+bj9t2G6bWjIgkrnTg9sb1hVnpFJfXUN8Qej+9q66CggJzO++ddyDTlclF2RfRKa1TWHOsJH4oiRKJoq+AwcA84CZMoT4RSR53AZZt83l2Ons8LorLQ58UnpEBExof8/t+BXNJTEqiRKLkJWAYsBUoBJ5GP2AiyaYrcEnjVaN3WmSx/Uh1WLfigrf0Xn/dlDwA2O/fzwfVH1BcXxzlaCXW9B4v0kQ+TEXjm4Bq4CJgHeaKlIgkn3uACQGbkRW1VPj8HKgJvZ9enz5w9tng98MLL5htG30b+bzuc76q+yom8UrsKIkSaYIS4Hzgr42v7wfexkw+FZHkdAkwx2VxfnoaANsjrGD+7LOmp17wKb3t9dupDdRGM1SJMSVRIhFaDgwEVmKaB78G/AFwOxmUiDSbbi2yACipqKXGH3oPvOuug9xc2LYNVqyANp42tHa3poEGvq7/OlbhSgwoiTqFxx9/nKKiIoYMGeJ0KBInbOBRzBWo74C+mPIF45wMSkSa3c6MNF7qXEBWx5aku0P/dZqdDddfb9aDNaN6e83zuxvrNkY7TIkhJVGnMGXKFDZu3MiaNWucDkXiQDlwHTAN08rlJuAT1DxYJBU9hCl18GpOBq4wSxTcdptZLlgAFRXQ09sTC4vvGr7jUMOh6AcrMaEkSiQMfwUWAmmN638Dsh2NSEScMgXzR9WEU+34A4YPh549oboaXn4Zsl3ZnJ52OqAK5olESZRIGO4FrsXMh/o1oPJ4IqlrBDAfGNoQYMvBStbuOxLysZYFt95q1p9/3ix7e3uTZWWRbqVHO1SJEctWrfmQlJeXk5+fT1lZGXl5eU6HI82kDpiJSZg8DsciIvGput7PP7bvB+Ci09uQmx7au8W+fdC5s2kBs3kz9DjTlOd1Wbq+EU2x/P2t/ymRH2EDl2HmP/2rw7GISPzaneZhfseWbM5IY3tZVcjHtW8Pl1xi1l94wSRPSqASi/63RH6EBUwGCoBRzoYiInHsT8DLORm81TKb4rIa/IHQGz4FJ5jPmWMKcAIE7AA763dSZ9dFP1iJKiVRIsdpALYd9/rqxtdjnQlHRBLA3Y3L1bkZ7LcsdpeHXjDzssugdWsoKTFNiQEWVy7mtcrX+Mb3TfSDlahSEiXS6CBwKfBzYO9x21s4Eo2IJIqzMH0z/ZbF+/mZbD9SFXI/Pa8Xbr7ZrAcnmBemFQKqGZUIlESJAGsw1ceXABXA586GIyIJJng16p0WWRyq83Okrj7kY4NP6b32Ghw4AL28vbCw2NewjyMNR6Ieq0SPkihJaTbwJHAuUIwpmvkJun0nIuG5DjN/cn+ahz1tcvGEMUG8f38YOBDq6+HFFyHHlUOhx1yNUs2o+KYkSlJWNTAR8xekD7gSc0Wqn5NBiUhCygQaLyixtCAn5DIHQcEJ5sFbekXppinxJt+mkG8NSvNTEiUp6RtgODAX0zD4/wGvAPlOBiUiCe2uxuXbwO4wj73xRjM/asMGWL8euqV1w2t5qQhUsMe/J7qBStQoiZKUswgYDHwJtAPeA36Lqo+LSNP0wJRDsYEn6hvYcrAy5GMLCuDKK83688+Dx/JwZtqZAOyq3xXtUCVKlERJyvBj2rZchWkkfC6wHviFk0GJSFK5o3H5LDZfHKjgcG34E8znzYO6OhiYMZAbcm/gnMxzoh+oRIWSKEkJlcAFmNt2AL8B3gfaOxaRiCSjq4GWmAnmX2Z52XmkOuRjL7wQOnWCQ4fgP/4DWrpb0s7TDsvSdfJ4pSRKUkI2JmHKBRYAjwBpjkYkIskoA/hl4/rSFlnsrgi9grnbDRMnmvXgBPOgBrshajFK9CiJkqQVwDyBB2a+07PAWuAaxyISkVQQvKV3MM1DXcBmT0XoFcwnTTLLJUtg717TAmZp1VKeKXuGikBF1GOVplESJUnpAKZ58C8xkzwBcoAzHYtIRFJFP8yDK69V1eGGsG7pde8OI0dCIGD66bksF4cDh6mz69ji2xKrkCVCSqIkKe3CPHX3NvCfDsciIqmnL3B6fiYWcKi2nrIIJpjPmgW2Db29vQHYXLdZNaPijJIoSUqDgFnAasybmYhIc8vwuMnLzaDS66HKH/qcpmuugexs2LoVVq6EHmk9cOPmYOAg+xv2xzBiCZeSKEkKh4BrMSULgm5G1cdFxDkvAFe0b8F7p7emQ05GyMfl5MD115v1WbMg3ZVO17SuAGz2bY5+oBIxJVGn8Pjjj1NUVMSQIUOcDkV+xGpM8+CFwATMhHIREaf1BKosi68sK+z3peAtvZdfhsrKY7f0tvi2ELD1LhcvlESdwpQpU9i4cSNr1qxxOhT5Hht4DBiBmQN1BqaNiwa1iMSD4Zg/8tYClm1zsNoX8rHnnAM9ekBVFSxcCF3SupBpZVJtV1PsL45VyBIm/b6RhFSJ6Zr+34B6TNmCdcBZTgYlInIcCxgKBAI27+zYz4e7D1JeF9oEc8s6cYK523JzVvpZDMsYRit3q5jFLOFREiUJZyvmL7yFmIKZfwVeRs2DRSQ+uV0W6ekeyt0WO8tqQj7ullvA5YIVK2DbNhiSOYThmcPJdeXGMFoJh5IoSSj/AIZgyha0Bz4Efo2aB4tI/HoBuKJDS+a3ymVXWTUNgdDKFHTsCBddZNbnzIlZeNIESqIkIdjAH4GxwBHgbMw8g7MdjElEJBSdgXLLYkVeJpW2zd7K0CuYB9vAzJljCnD6bT9bfVv5uObj2AQrYVESJXGvErgeuA+TTN0JLAM6OBmUiEiIzgO6AVVuFx/nZoZVwfyKKyA3F3buhI8+gupANW9WvcmntZ+qDUwcUBIlce9pTNPgNODJxtfpjkYkIhI6F3B74/rS/EwO1Pio8PlDOjYrC667zqzPng157jw6ejoCqhkVD5RESdz7F0z9p2XAXQ7HIiISiUmYX7ibstLZm+amJIymxMFbegsWQHU19PL2AtQGJh4oiZK4Y2PqPdU1vnYDc4BzHItIRKRpOgCXNq5/3bkVZxZkh3zsOedA165QUQGLF0MPr2kDcyhwSG1gHKYkSuLO3cAtmKfuRESSxZ2Ny/lpbuqt0J8pdrlMuQMwt/TSrXS6pXUDYJNvU5SjlHAoiZK4cwVmztMAzFUpEZFkMAZTmmU/8DqEXOoAjiVRS5fC3r3HbumpDYyzlERJXDh+iuUYYAfwz6j+k4gkDw/QWIScP9XV8+a276gMcYJ5t25w7rmmzMG8ecfawOS6cqm0K2MWs/w0JVHiuPeA3sC247a1dygWEZFYCj6l94nXQ4nLxa7y0CuYByeYz54NLtxMyJvAjXk3kufKi36gEhIlUeKoZ4FLMK1c/o/DsYiIxFo34ALAtiyW5WdSXFYd8hN2114LGRmwcSOsWweZrsyYxiqnpiRKHBEA/gdmoqUfuAlTA0pEJNnd0bh8Pz+LSn+A0mpfSMfl58P48Wb9+DYwdYE6DjccjmqMEholUdLsqoFrgYcbX08H/gZkOBaRiEjzuRK4GJhcU0cA2FkWegXz4C29F18Enw+2+rbyTNkzvF/9fixClVNQEiXNah/wC+BVwItJnn6PJpCLSOpIxzRT/403jTRgX2UtdQ2hPWF34YXQvj0cPAhvvQVt3W1poIE9/j2UB8pjGbb8ACVR0my+AIZhGge3wkwov9nRiEREnNMiI438dA8BG/aEOMHc44GbG98458w5sQ3MlrotsQpVfoSSKGkWr2Aqju8GegKrgXMdjUhExFmHgJXt8tnTvgWn5YTeETR4S++NN8wVqd7e3oDppac2MM1LSZTEVANwH3ANUAmcD3wMnOFkUCIiceAFYHqmlxfzMslO84R8XN++MHAg1NfDSy9Bd2/3o21gShtKYxavnExJlMTU48AfG9d/AywBWjoXjohI3LgZGIx5OjncmuPfbwNzRpr503Szb3MUI5RTURIlMXUX5urTS8AjmIq9IiIC7YA1wK9tm28ravm05HDIrWBuusnMj1q71tSN6untCZin9XRLr/koiZKoewdzGw/MUyhLgRucC0dEJO59XlrOnopaSiprQ9q/TRsYO9asz5lj2sCMzBzJ9XnXY4XR3FiaRkmURNV9mPon/3bcNv04i4j8uErLYm3bPDZnpLErjJpRwVt6c+cCATdnZZxFjisnNkHKD1ISJVHVv3HpAXRBWUTk1P438L9yM3i9IJvSah/V9aE1Jb7sMmjZEkpK4H3V2nSEkihpsrrj1m8AvgIeQFegRERC0XhBibU5GZS7LXaVhVYzKj0dbrzRrM+ebZbbfNt4teJVvvF9E/1A5SRKoqRJ1gJFmErkQX0cikVEJBH1A84C/JbFR7mZ7CqvCXlyePCW3quvQnk5lDaUstu/m02+TTGLV45REiURO4ip/7Qd+LPDsYiIJLJbG5fL8rOorm9gf4hNiYcOhZ49oaYGXnnl2FN6u+p3UR0IfX6VREZJlEQkAEwAdmEKZ97vbDgiIgntJkw/0e0ZaRzMyQh5TqllHatgPns2FLgLaOtuS4CAbuk1AyVREpEHgbeBDExLlxaORiMikthaAeMa1zd2bEm77NDbwPzylyaZ+vBD2Lnz2NWoLT710ou1lEqiHn30Ufr06UNRURH33HOPCpJF6F1geuP6Exx7Ik9ERCI3qXH5NyC0m3lG585w3nlmfd48k0RZWOxr2MeRhiNRjVFOlDJJ1P79+5kxYwbr1q3jyy+/ZN26dXzyySdOh5VwdgM3YsoX3MmxH3oREWmai4H2wAHgtYYAeypCe0oPYMIEs5w7F7KsbDp7OgO6GhVrKZNEAfj9fmpra6mvr6e+vp62bds6HVJC8QHXYiaUDwT+6mw4IiJJxYOZawrwSI2PT0uOUFZXH9KxV10FmZmwZQusWwe9vL3o5OlEK3ermMUrcZRELV++nMsvv5wOHTpgWRaLFy8+aZ+ZM2fStWtXMjIyGDRoECtWrAj5/G3atOG3v/0thYWFdOjQgQsvvJAzzjgjit9B8vsNsBrTQHghZj6UiIhEz6TG5brsdI64XSHXjMrLgyuuMOtz50Lv9N5cnXs13b3dYxKnGHGTRFVVVdG/f39mzJjxg5+fP38+U6dO5f7772f9+vWMGDGCMWPGUFxcfHSfQYMG0bdv35M+SkpKOHz4MG+88QY7d+5k7969rFq1iuXLlzfXt5fwXgKC/zNzga4OxiIikqx6A8OABstieV4mxeXVBEKcvxu8pffSS1Af2gUsaSKP0wEEjRkzhjFjxvzo5//85z9z++23c8cddwDw2GOPsWTJEp544gkeeughANatW/ejxy9YsIDu3btTUFAAwKWXXsonn3zCyJEjf3D/uro66uqO1eIuKysDoLy8PLxvLAlsBm5vXP8tMAJIvX8FEZHmcQPmqv8qfFxYVs7XJRYdcjNPedywYdCqFezfD6+9BqNHQ1Wgiu2+7fRJ74PLipvrJs0q+Hs7Jg+T2XEIsBctWnT0dV1dne12u+1XX331hP3uuecee+TIkSGd8+OPP7YHDBhg19TU2H6/3x47dqy9ePHiH91/+vTpNmb+tD70oQ996EMf+kjwj23btkWUk/yUuLkS9VMOHDhAQ0MD7dq1O2F7u3bt+Pbbb0M6x/Dhwxk7dixnnXUWLpeLCy64gHHjxv3o/vfddx/Tpk07+vrIkSN06dKF4uJi8vPzI/tG4sSQIUNYs2ZNwn/Npp4zkuPDOSaUfZuyT3l5OZ07d2b37t3k5eWFFFO80piM/Phoj8lQ9vupzyfLuHRiTMbi62pMmjtJhYWFR+9ERVNCJFFBlnViS1vbtk/a9lMefPBBHnzwwZD2TU9PJz395GJn+fn5Cf3GAOB2u5v9e4jF12zqOSM5PpxjQtk3Gvvk5eVpTMbJ10yGMRnKfqGcJ9HHpRNjMhZfV2PyGJcr+rczE+IGaevWrXG73SdddSotLT3p6pSc2pQpU5Liazb1nJEcH84xoewbrX0SncZk5MdHe0yGsp/GZOJ8XY3J2LJsO/7KdluWxaJFixg/fvzRbcOGDWPQoEHMnDnz6LaioiKuuOKKoxPLY6m8vJz8/HzKysoS+q8rSR4akxKPNC4l3sRyTMbN7bzKykq2bt169PWOHTvYsGEDBQUFFBYWMm3aNCZMmMDgwYM5++yzefrppykuLmby5MnNEl96ejrTp0//wVt8Ik7QmJR4pHEp8SaWYzJurkR98MEHnBds/nOciRMn8sILLwCm2ObDDz/Mvn376Nu3L48++uiPligQERERiaW4SaJEREREEklCTCwXERERiTdKokREREQioCRKREREJAJKokREREQioCQqynbv3s2oUaMoKiqiX79+LFiwwOmQRAC48soradmyJddcc43ToUiKeuONN+jZsyc9evTg2WefdTockSa/L+rpvCjbt28f3333HQMGDKC0tJSBAweyZcsWsrOznQ5NUtyyZcuorKxk9uzZLFy40OlwJMX4/X6KiopYtmwZeXl5DBw4kNWrV8ekn5lIqJr6vqgrUVHWvn17BgwYAEDbtm0pKCjg0KFDzgYlApx33nnk5uY6HYakqE8//ZQ+ffrQsWNHcnNzGTt2LEuWLHE6LElxTX1fTLkkavny5Vx++eV06NABy7JYvHjxSfvMnDmTrl27kpGRwaBBg1ixYkVEX2vt2rUEAgE6d+7cxKgl2TXnuBSJRFPHaElJCR07djz6ulOnTuzdu7c5QpckFQ/vmymXRFVVVdG/f39mzJjxg5+fP38+U6dO5f7772f9+vWMGDGCMWPGUFxcfHSfQYMG0bdv35M+SkpKju5z8OBBbrnlFp5++umYf0+S+JprXIpEqqlj9IdmjliWFdOYJblF432zyewUBtiLFi06YdvQoUPtyZMnn7CtV69e9u9+97uQz1tbW2uPGDHCnjNnTjTClBQTq3Fp27a9bNky++qrr25qiJLiIhmjK1eutMePH3/0c/fcc489b968mMcqqaEp75tNeV9MuStRP8Xn87Fu3TpGjx59wvbRo0ezatWqkM5h2zaTJk3i/PPPZ8KECbEIU1JMNMalSCyFMkaHDh3KV199xd69e6moqOCtt97i4osvdiJcSQHN9b7pidqZksCBAwdoaGigXbt2J2xv164d3377bUjnWLlyJfPnz6dfv35H78/OnTuXn/3sZ9EOV1JENMYlwMUXX8xnn31GVVUVnTp1YtGiRQwZMiTa4UoKCmWMejwe/vSnP3HeeecRCAS49957adWqlRPhSgoI9X2zqe+LSqJ+wPfv09u2HfK9+3PPPZdAIBCLsCTFNWVcAnoSSmLuVGN03LhxjBs3rrnDkhR2qjHZ1PdF3c47TuvWrXG73Sf9dV9aWnpSNivSXDQuJd5pjEq8aa4xqSTqOF6vl0GDBvHuu++esP3dd9/l5z//uUNRSarTuJR4pzEq8aa5xmTK3c6rrKxk69atR1/v2LGDDRs2UFBQQGFhIdOmTWPChAkMHjyYs88+m6effpri4mImT57sYNSS7DQuJd5pjEq8iYsxGdEzfQls2bJlNnDSx8SJE4/u8/jjj9tdunSxvV6vPXDgQPvDDz90LmBJCRqXEu80RiXexMOYVO88ERERkQhoTpSIiIhIBJREiYiIiERASZSIiIhIBJREiYiIiERASZSIiIhIBJREiYiIiERASZSIiIhIBJREiYiIiERASZSIiIhIBJREiUjKGDVqFJZlYVkWGzZsOGH71KlTwz7fpEmTjp5v8eLFUYtTRBKDkigRSRpTp05l/PjxP7nPnXfeyb59++jbt2+Tv95f/vIX9u3b1+TziEhiUhIlIkljzZo1DB069Cf3ycrK4rTTTsPj8TTpa/l8PvLz8znttNOadB4RSVxKokQk4dXX1+P1elm1ahX3338/lmUxbNiwsM4RCAS49957KSgo4LTTTuP3v//9CZ8fNWoUv/rVr5g2bRqtW7fmoosuiuJ3ICKJSEmUiCQ8t9vNRx99BMCGDRvYt28fS5YsCescs2fPJjs7m9WrV/Pwww/zwAMP8O677560j8fjYeXKlTz11FNRi19EElPTrmeLiMQBl8tFSUkJrVq1on///hGdo1+/fkyfPh2AHj16MGPGDN57770Trjh1796dhx9+OCoxi0ji05UoEUkK69evjziBApNEHa99+/aUlpaesG3w4MERn19Eko+SKBFJChs2bGhSEpWWlnbCa8uyCAQCJ2zLzs6O+PwiknyURIlIUvjyyy9PupokIhJLSqJEJCkEAgG++OILSkpKKCsrczocEUkBSqJEJCn84Q9/YP78+XTs2JEHHnjA6XBEJAVYtm3bTgchItIcRo0axYABA3jssceiel7Lsli0aNEpq6WLSHLRlSgRSSkzZ84kJyeHL7/8ssnnmjx5Mjk5OVGISkQSka5EiUjK2Lt3LzU1NQAUFhbi9XqbdL7S0lLKy8sBUxJBT++JpBYlUSIiIiIR0O08ERERkQgoiRIRERGJgJIoERERkQgoiRIRERGJgJIoERERkQgoiRIRERGJgJIoERERkQgoiRIRERGJgJIoERERkQgoiRIRERGJwH8B7fQyidP2Er4AAAAASUVORK5CYII=", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "plt.loglog(ts, np.array(result_mw) + np.array(result_m31), label=\"Total, Point Source\", color=\"lightgreen\", linestyle=\"--\")\n", - "plt.loglog(ts, np.array(result_mw_finite) + np.array(result_m31_finite), label=\"Total Finite\", color=\"blue\")\n", - "plt.loglog(ts, result_mw_finite, label=\"MW\", color=\"lightblue\", linestyle=\"--\")\n", - "plt.loglog(ts, result_m31_finite, label=\"M31\", color=\"cyan\", linestyle=\"-.\")\n", - "plt.xlim(1e-2, 1e1)\n", - "plt.ylim(1e-8, 1e-5)\n", - "plt.xlabel(r\"$t$ [hr]\")\n", - "plt.ylabel(r\"$d\\Gamma/dt$ [events/star/hr/hr]\")\n", - "plt.title(\"m = {}\".format(pbh.mass) + r\"$M_\\odot$\")\n", - "plt.legend()\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "ts = np.logspace(-2, 3, 30)\n", - "pbhs = [Pbh(10**(i), 1, l=l, b=b) for i in np.linspace(-5, -3, 3)]\n", - "\n", - "result = np.zeros((len(pbhs), len(ts)))\n", - "for i, pbh in enumerate(pbhs):\n", - " result[i] = pbh.compute_differential_rate(ts, finite=False)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "for i, pbh in enumerate(pbhs):\n", - " plt.loglog(ts, result[i], label=r\"$M_{\\rm{PBH}} = $\" + scientific_format(pbh.mass,0) + \"$M_{\\odot}$\")\n", - "\n", - "plt.xlabel(r\"$t$ [hr]\")\n", - "plt.ylabel(r\"$d\\Gamma/dt$ [events/star/hr/hr]\")\n", - "plt.xlim(5e-1, 1e3)\n", - "plt.ylim(1e-12, 1e-8)\n", - "\n", - "plt.legend()\n", - "plt.show()" - ] - }, { "cell_type": "code", "execution_count": null, @@ -824,18 +617,6 @@ "display_name": "python3", "language": "python", "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" } }, "nbformat": 4, diff --git a/nbs/01_ffp.ipynb b/nbs/01_ffp.ipynb index 14edc29..0292799 100644 --- a/nbs/01_ffp.ipynb +++ b/nbs/01_ffp.ipynb @@ -21,7 +21,7 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -31,7 +31,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -61,7 +61,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -71,7 +71,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -370,7 +370,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -382,7 +382,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -391,7 +391,7 @@ "3.0996682206844185e-15" ] }, - "execution_count": 6, + "execution_count": null, "metadata": {}, "output_type": "execute_result" } @@ -402,7 +402,7 @@ }, { "cell_type": "code", - "execution_count": 98, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -411,7 +411,7 @@ "2.0418395865633797e-15" ] }, - "execution_count": 98, + "execution_count": null, "metadata": {}, "output_type": "execute_result" } @@ -422,7 +422,7 @@ }, { "cell_type": "code", - "execution_count": 88, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -431,7 +431,7 @@ "3.580189123211615e-15" ] }, - "execution_count": 88, + "execution_count": null, "metadata": {}, "output_type": "execute_result" } @@ -442,7 +442,7 @@ }, { "cell_type": "code", - "execution_count": 89, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -451,7 +451,7 @@ "8.367673014152553e-14" ] }, - "execution_count": 89, + "execution_count": null, "metadata": {}, "output_type": "execute_result" } @@ -462,7 +462,7 @@ }, { "cell_type": "code", - "execution_count": 249, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -471,7 +471,7 @@ "7.2026805885836655e-28" ] }, - "execution_count": 249, + "execution_count": null, "metadata": {}, "output_type": "execute_result" } @@ -482,7 +482,7 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -491,7 +491,7 @@ "9.858671258336687e-38" ] }, - "execution_count": 22, + "execution_count": null, "metadata": {}, "output_type": "execute_result" } @@ -502,7 +502,7 @@ }, { "cell_type": "code", - "execution_count": 244, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -511,7 +511,7 @@ "7.202977965554305e-28" ] }, - "execution_count": 244, + "execution_count": null, "metadata": {}, "output_type": "execute_result" } @@ -522,7 +522,7 @@ }, { "cell_type": "code", - "execution_count": 116, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -532,7 +532,7 @@ }, { "cell_type": "code", - "execution_count": 117, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -556,18 +556,6 @@ "display_name": "python3", "language": "python", "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" } }, "nbformat": 4, diff --git a/nbs/03_survey.ipynb b/nbs/03_survey.ipynb index d9ad997..0c670fe 100644 --- a/nbs/03_survey.ipynb +++ b/nbs/03_survey.ipynb @@ -304,10 +304,6 @@ "display_name": "python3", "language": "python", "name": "python3" - }, - "language_info": { - "name": "python", - "version": "3.9.7" } }, "nbformat": 4, diff --git a/nbs/04_utils.ipynb b/nbs/04_utils.ipynb index 4ec7af5..5f4e794 100644 --- a/nbs/04_utils.ipynb +++ b/nbs/04_utils.ipynb @@ -21,7 +21,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -31,7 +31,7 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -54,7 +54,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -73,7 +73,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -188,7 +188,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -201,7 +201,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -217,7 +217,7 @@ }, { "cell_type": "code", - "execution_count": 30, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -339,7 +339,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -413,7 +413,7 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -455,7 +455,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -464,7 +464,7 @@ "array(3.87074043)" ] }, - "execution_count": 6, + "execution_count": null, "metadata": {}, "output_type": "execute_result" } @@ -475,7 +475,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -484,7 +484,7 @@ "2.182820625326997" ] }, - "execution_count": 6, + "execution_count": null, "metadata": {}, "output_type": "execute_result" } @@ -495,7 +495,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -506,7 +506,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -535,7 +535,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -560,7 +560,7 @@ }, { "cell_type": "code", - "execution_count": 39, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -582,7 +582,7 @@ }, { "cell_type": "code", - "execution_count": 51, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -604,7 +604,7 @@ }, { "cell_type": "code", - "execution_count": 52, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -648,7 +648,7 @@ }, { "cell_type": "code", - "execution_count": 53, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -664,7 +664,7 @@ }, { "cell_type": "code", - "execution_count": 54, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -895,7 +895,7 @@ }, { "cell_type": "code", - "execution_count": 31, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -907,14 +907,14 @@ }, { "cell_type": "code", - "execution_count": 44, + "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", - "execution_count": 46, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -952,7 +952,7 @@ }, { "cell_type": "code", - "execution_count": 52, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -962,7 +962,7 @@ }, { "cell_type": "code", - "execution_count": 141, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -971,7 +971,7 @@ "array([[14.29405895]])" ] }, - "execution_count": 141, + "execution_count": null, "metadata": {}, "output_type": "execute_result" } @@ -982,7 +982,7 @@ }, { "cell_type": "code", - "execution_count": 47, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -1015,7 +1015,7 @@ }, { "cell_type": "code", - "execution_count": 135, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -1025,7 +1025,7 @@ }, { "cell_type": "code", - "execution_count": 136, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -1034,7 +1034,7 @@ "Text(0, 0.5, '$u_{hm}$')" ] }, - "execution_count": 136, + "execution_count": null, "metadata": {}, "output_type": "execute_result" }, @@ -1059,7 +1059,7 @@ }, { "cell_type": "code", - "execution_count": 113, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -1072,7 +1072,7 @@ }, { "cell_type": "code", - "execution_count": 114, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -1099,7 +1099,7 @@ }, { "cell_type": "code", - "execution_count": 61, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -1126,7 +1126,7 @@ }, { "cell_type": "code", - "execution_count": 59, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -1167,18 +1167,6 @@ "display_name": "python3", "language": "python", "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" } }, "nbformat": 4, diff --git a/nbs/05_parameters.ipynb b/nbs/05_parameters.ipynb index f663911..aefe5b1 100644 --- a/nbs/05_parameters.ipynb +++ b/nbs/05_parameters.ipynb @@ -146,10 +146,6 @@ "display_name": "python3", "language": "python", "name": "python3" - }, - "language_info": { - "name": "python", - "version": "3.9.7" } }, "nbformat": 4, diff --git a/nbs/07_lens.ipynb b/nbs/07_lens.ipynb index 861b6f5..e65fe38 100644 --- a/nbs/07_lens.ipynb +++ b/nbs/07_lens.ipynb @@ -129,10 +129,6 @@ "display_name": "python3", "language": "python", "name": "python3" - }, - "language_info": { - "name": "python", - "version": "3.9.7" } }, "nbformat": 4, diff --git a/nbs/08_galaxy.ipynb b/nbs/08_galaxy.ipynb index 70aed8c..efe03f6 100644 --- a/nbs/08_galaxy.ipynb +++ b/nbs/08_galaxy.ipynb @@ -31,7 +31,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -50,7 +50,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -69,7 +69,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -104,7 +104,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -230,7 +230,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -301,7 +301,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -311,7 +311,7 @@ }, { "cell_type": "code", - "execution_count": 25, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -320,7 +320,7 @@ "0.041460100749342" ] }, - "execution_count": 25, + "execution_count": null, "metadata": {}, "output_type": "execute_result" } @@ -331,7 +331,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -340,7 +340,7 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -503,18 +503,6 @@ "display_name": "python3", "language": "python", "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" } }, "nbformat": 4, diff --git a/nbs/09_lightcurves.ipynb b/nbs/09_lightcurves.ipynb index 24320e6..7fb1b8c 100644 --- a/nbs/09_lightcurves.ipynb +++ b/nbs/09_lightcurves.ipynb @@ -12,7 +12,7 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -21,7 +21,7 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -31,7 +31,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -56,7 +56,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -141,7 +141,7 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -174,7 +174,7 @@ }, { "cell_type": "code", - "execution_count": 62, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -195,7 +195,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -232,7 +232,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -248,7 +248,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -275,7 +275,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -328,7 +328,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -349,7 +349,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -386,7 +386,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -415,7 +415,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -435,7 +435,7 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -459,7 +459,7 @@ "1.9595917942265424" ] }, - "execution_count": 15, + "execution_count": null, "metadata": {}, "output_type": "execute_result" } @@ -471,7 +471,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -487,7 +487,7 @@ }, { "cell_type": "code", - "execution_count": 39, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -496,7 +496,7 @@ "0.003712691344232568" ] }, - "execution_count": 39, + "execution_count": null, "metadata": {}, "output_type": "execute_result" } @@ -508,7 +508,7 @@ }, { "cell_type": "code", - "execution_count": 40, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -529,7 +529,7 @@ }, { "cell_type": "code", - "execution_count": 41, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -550,7 +550,7 @@ }, { "cell_type": "code", - "execution_count": 42, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -587,7 +587,7 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -622,7 +622,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -633,7 +633,7 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -648,7 +648,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -682,7 +682,7 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -728,7 +728,7 @@ }, { "cell_type": "code", - "execution_count": 24, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -782,7 +782,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -791,7 +791,7 @@ "3.48010216963685" ] }, - "execution_count": 8, + "execution_count": null, "metadata": {}, "output_type": "execute_result" } @@ -802,7 +802,7 @@ }, { "cell_type": "code", - "execution_count": 28, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -820,7 +820,7 @@ }, { "cell_type": "code", - "execution_count": 32, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -829,7 +829,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -853,18 +853,6 @@ "display_name": "python3", "language": "python", "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" } }, "nbformat": 4, diff --git a/nbs/index.ipynb b/nbs/index.ipynb index ff861e3..606d269 100644 --- a/nbs/index.ipynb +++ b/nbs/index.ipynb @@ -216,10 +216,6 @@ "display_name": "python3", "language": "python", "name": "python3" - }, - "language_info": { - "name": "python", - "version": "3.9.7" } }, "nbformat": 4,