diff --git a/notebooks/logistic_regression/multivariate_logistic_regression_demo.ipynb b/notebooks/logistic_regression/multivariate_logistic_regression_demo.ipynb
index 21dd29c..cfb3784 100644
--- a/notebooks/logistic_regression/multivariate_logistic_regression_demo.ipynb
+++ b/notebooks/logistic_regression/multivariate_logistic_regression_demo.ipynb
@@ -481,20 +481,20 @@
"source": [
"### Split the Data Into Training and Test Sets\n",
"\n",
- "In this step we will split our dataset into _training_ and _testing_ subsets (in proportion 70/30%).\n",
+ "In this step we will split our dataset into _training_ and _testing_ subsets (in proportion 80/20%).\n",
"\n",
"Training data set will be used for training of our model. Testing dataset will be used for validating of the model. All data from testing dataset will be new to model and we may check how accurate are model predictions."
]
},
{
"cell_type": "code",
- "execution_count": 5,
+ "execution_count": null,
"metadata": {},
"outputs": [],
"source": [
- "# Split data set on training and test sets with proportions 70/30.\n",
+ "# Split data set on training and test sets with proportions 80/20.\n",
"# Function sample() returns a random sample of items.\n",
- "pd_train_data = data.sample(frac=0.7)\n",
+ "pd_train_data = data.sample(frac=0.8)\n",
"pd_test_data = data.drop(pd_train_data.index)\n",
"\n",
"# Convert training and testing data from Pandas to NumPy format.\n",
@@ -502,7 +502,7 @@
"test_data = pd_test_data.values\n",
"\n",
"# Extract training/test labels and features.\n",
- "num_training_examples = 5000\n",
+ "num_training_examples = 6000\n",
"x_train = train_data[:num_training_examples, 1:]\n",
"y_train = train_data[:num_training_examples, [0]]\n",
"\n",
@@ -528,13 +528,13 @@
},
{
"cell_type": "code",
- "execution_count": 6,
+ "execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"# Set up linear regression parameters.\n",
"max_iterations = 10000 # Max number of gradient descent iterations.\n",
- "regularization_param = 0 # Helps to fight model overfitting.\n",
+ "regularization_param = 10 # Helps to fight model overfitting.\n",
"polynomial_degree = 0 # The degree of additional polynomial features.\n",
"sinusoid_degree = 0 # The degree of sinusoid parameter multipliers of additional features.\n",
"normalize_data = True # Whether we need to normalize data to make it more unifrom or not. \n",
@@ -557,332 +557,9 @@
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- "execution_count": 7,
- "metadata": {},
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+ "outputs": [],
"source": [
"# Print thetas table.\n",
"pd.DataFrame(thetas)"
@@ -890,20 +567,9 @@
},
{
"cell_type": "code",
- "execution_count": 8,
+ "execution_count": null,
"metadata": {},
- "outputs": [
- {
- "data": {
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\n",
- "text/plain": [
- ""
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- }
- ],
+ "outputs": [],
"source": [
"# How many numbers to display.\n",
"numbers_to_display = 9\n",
@@ -951,22 +617,9 @@
},
{
"cell_type": "code",
- "execution_count": 9,
+ "execution_count": null,
"metadata": {},
- "outputs": [
- {
- "data": {
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\n",
- "text/plain": [
- ""
- ]
- },
- "metadata": {
- "needs_background": "light"
- },
- "output_type": "display_data"
- }
- ],
+ "outputs": [],
"source": [
"# Draw gradient descent progress for each label.\n",
"labels = logistic_regression.unique_labels\n",
@@ -990,26 +643,9 @@
},
{
"cell_type": "code",
- "execution_count": 10,
+ "execution_count": null,
"metadata": {},
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "Training Precision: 100.0000%\n",
- "Test Precision: 80.9000%\n"
- ]
- },
- {
- "name": "stderr",
- "output_type": "stream",
- "text": [
- "../../homemade/utils/hypothesis/sigmoid.py:6: RuntimeWarning: overflow encountered in exp\n",
- " return 1 / (1 + np.exp(-z))\n"
- ]
- }
- ],
+ "outputs": [],
"source": [
"# Make training set predictions.\n",
"y_train_predictions = logistic_regression.predict(x_train)\n",
@@ -1034,20 +670,9 @@
},
{
"cell_type": "code",
- "execution_count": 11,
+ "execution_count": null,
"metadata": {},
- "outputs": [
- {
- "data": {
- "image/png": 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7ccn6D2fbnKZ+z74f/plv49VfLwdgxZufxr3/wo1uj0alYt5yMEep5zihhSdiKlLIW1Kke9PWAMz+YG7MfZ+4qlfMxyV9/508LSp3aZ1OeV9ILtEnrYiIiIiIiE/UwBIREREREfFJ0g0R/OD3DwHYNDf6Rl+ABuc2BmBA8zvSfVz8s2qHu8bLsUO6eck/3Bu9u9zawaaaVDwx5nEeXfgYAB+9EH2T/tM335jTMiUTA2a6a7o8M2qizbXsdgoAp1Zta3MaDhisxxe84v2R2dDAsD1pNjz7WncYS+VTvKFK3c86FYAeja6yuRqlauegyoJrzp8zbfzrF7+4QWhYIADHlAOgQrHoiS3C6/4BTPzeu6F+/tvpDE0qUxiAErW8IYC7Fv0JQLNHvaHzc29z1+apUPQwJGuGzxpn4zJNqgJQufgRUdu9teI1G3cf/pD3wF+htRqLe1+xHh/urg/Yq5E+0xLZnjRvnc0bb8t48pjwpFsApx1xeq7WlN/sDK1/tXenN7FZjXbumoxlCpfz5Tkib10Jau1N9WCJiIiIiIj4JCl6sL5YO8XGN494MurxWqGWL8D0nu5q3cVTS+R+YQVImuNeCZ/465s21/2W0Gr26dzI/eXcxTY1otxIAAY083oVd0as4D3m48/cwPGO0+76MwDoUf86H6qXWJ554G03iLjYPrhNZ0C9VomkzwlX2nhex5UA/PSd1/MR7j3OzJ8zf7fxg6H4wUKv2lz32zsC8FDre2yudOGyWa63oAhf8f75n2XRD9YsbcNbLzsHgMrFq9nchl3uchY3fOJdKZ8/IaLX6gj3c+zUs5vZ1LPn3AnA9oilSlp26wrAlm3x/RuQ2CY/7y1J8e6YhwFILVTY5g4cPABA97He95F3h4+w8enVzgTgi7XexBiX3ea+nhqP9aZ7b1XlND/LlhzYvn8rAKe/GHs69/BSQIM7XmpTen/MmpXbV7jBr9572A093d73yMmCMrN132YABs7wpntfv8P9bjnl9enehqGe5Ntv6GhTI1oOyVLN2aEeLBEREREREZ+ogSUiIiIiIuKThB4iGF7zqsMN/WJuV/No7+bT0kX8uUFODvXB7+8A0L3fMC8ZHlIWcSN3kWPdmwnXz/zN5u4PxS+d8rXNrf/jb+84v293f1craVOTOz7jR9kShyqt3fWRNkQMHTtv1L0ATBvsDbU9+fBT87YwOUSj8k1sPLfXWwBs7u7dyLspdFPvhl0bbO7R79628ZRnv3CDiKG4VsQw33EPu2sq2bWcgB9ufRfI2vCNgmLe33MAuO3uJ6Ieu+vqC208tMV9AGzf561j1fF1d7jfovcWeDuV99bh6dTJHUI2rv3DNvfHLneCp9Mfvi1qn3PbNLUpTW6RdWt2hN4D93uTyBSOGBoYtnzrzwBceObJNndu9Q5R211QwxuSdOn17pClnq89anM/364hgnntoOOd2zeWe0Oj//Oue/vDuq9/jd6pWIoN+99xGQBXH9MjlyosmJpXPi6u7T5dM9nGHR8JfR/9zRtqeM717QC4oKs38cjkse5Q3ec/mmZzI1pmt9L46dNSRERERETEJ2pgiYiIiIiI+CShhwjeNDU0K0+Kibndi+3vzYNqCp7Jq963cZd+7vAWinpd5VQqBsDMB7zhfOWKlAeg48t329zyz9zhFJHDBokcpRQ+vet32VTxPs0BWP3wJJs7rHjVLP83CCzZ8qON65RxZ7BKLeS99H+6213/auTcR2zu0eFvAND21t42t+IFr2u+WskauVOsZEnk+h7huE6Z+jZ36oVtbfxeY3e44O1vvGRz679JZzhMyK+h1y3AI6e5a9Xd1VTrC/7bzHXfZfhYeFhgpKajvbWq1n69Iurxb5980cbhNQR/3rzI5pp1vTxqn/DMj8+ckfG6PZK5P3dviMo1KN8gKlerTF0AXjr7/riPPbK1e6tD3Sfbe8nbs1ig5FjksMCet8Z3/mq3rmfjB1oN9b0mgRVb3OG5bdL5mvfZmo9s3LHPnTYucoy7FuCM8a/bXOMK7jDpP3evs7nwEMH+Hc/1r+A4qAdLRERERETEJwnXgxW5ov3kLzO+MnjiZSfZuGqJo3K1poJq4HvjbFyonjt5yAs33mxzV9XtluG+H/ccbeMz9vYBYM305bGfMOJG+zZt3asQ6rXKmvC6EACNRrlXujf97k0o8tpgdy2WS472roKXTC0FwIDm3k3zj+L2YLFln81tiTi2erCSz8W13JuzLxx4ic0dV8yNf/v8l5j7zl630g2axtysQNqw010/J7JXvtnlJ0ZtF/5sW7syopcktM+Do7z31XCvFXjrZDUffkPMfW457pbslC5xqFjs8KhcsZTibpAS9VCGKhWNPo7krocXeBOK3DfenRiI9ZmsFVfBm2Tmjxe/BCDVJNxX5Xynfvm6UbnweqkX9fN6rU7v7k0M824Hd2RFsYh1bw8c3A9Ai8ei11A9o/op/hQbJ/VgiYiIiIiI+EQNLBEREREREZ8kXL9no/5XeH/8tTvq8aNa1wHg8y7P51VJBVavM860cZdjOgOH3lQfy6Y93vo8a35YHfX4xGcesvHxlY6PelzDKbKnSp923h//7AVg9JA+NhU5NPDfhs55OCpX//zGNq5dul7U45J8Uow3runU448BMh8ieMqRR+dqTflCxFxMxsSYmCly0qZQ+Nlv3v//u1+IGF646wAAVY6ubFML3/8EgOIp3rAY8cfB8Bpx6SwVl1Oz/5rpBhHrnIl/Fm/+3sY3f/w4AD8tjphYa/nWmPsfeZr73fLZrt5w23i/70jWHF4s9H5WsZjNPfO9O6lay/ZtbK5YIffxc7p7a1rdeZL3HSY8NDDNSbO540Z3Ag5d1/PeYe6aZc0qtfCl/nipB0tERERERMQnCdeDFTlVd3rTsz98udsSLZpSLOox8Vef4/pkvtG/7D7gnr+Hv/OmQg33pBRu5F0NOr/GRTkrTtI1+Abv6s7wUa8A0P9Ob8KR/oyO2qdI48MA2PejNxkG9d3p9t/uNsKmIm8kldwVOVnJYwueAuCkql5Pb05ePwedgzaevTh6mnCrsHf97awap2W8XQF3fWP3NfcsE21u3gR3gqafL/SmV5+9Ya4bbPYmjgmb+sKX3h+RvSdHuK+5/13rLXtRrkiFnJYsGSgU7nmMvTJM3NIOHrDxnZP+C8Cl3dpltLnkwMptq2w857VvM96wTGEb9ryxg40fPHUQACVSS/pfnBwiPHlZ0WplbG7iE+5U7OfXaWZznet0BeC9C8fa3J40b2TbjA3TADjrgbu8gy/fAsDg4dfa1D3NB/hUedaoB0tERERERMQnamCJiIiIiIj4JGGGCJ733o1ucDD23aWtq7aJ+bgEa/T3TwLwzphPvOSRbpf76hEfBlFSgRLZFV703iIAfLJssc3N/HxB1D77NrnDOhtf7C1y9EFXd8KLysWr5Uqdkr5t+9zhDceM6GRzW+e6ayH9M+mOHB17e+jY98x60OaWffJThtuXbXKEjY+r0CzD7Qq6IoXc1xmlvaFHbHfXYmnWJWJSmXiHnUVMgtCpkzs0s3XV0zPaWnxUt2x9N6hZ2uZeXeoOd+/Z8Pq4jxMeGnjJJG/ChN9XrQfgq2tfyGmZko4uT0dP0pSeq68/z8Y9G3vvs4ULFU5vc8lF79wy2MYX9HfX4exx5/021+PIJ6J32utNaMEad50syhSxqftH9gbgluP6+lhp9qgHS0RERERExCeB9mCFV7YH+OrzeW5QKOIyXzF3OuHufbwbEUsXLpsntUn8/tnrTY5w/xvuVJuR57F/d/f8lStaMU/rKuhuP+G20O+I5BXpbyuJ4aKJ/QGv1yrS+l1e7shSNYGI3pMI+w56kygM/26kjR95MjQJw+a90U8cOXCgnHvMKf0ejN5OotQp2wCAT0d7V1v7TBgDwPJPf46575nXnwHAWUc3sLk21VrauEnFE6P2kdxTtog7uc/jfbzeqr6DQxMDDfe261qvCwDrdq2xufl/z7fx9c+5N+UXL+b1Rq4Y4n42lirs3dgvORfuLdy7bltc2//v0Q+8GC8+sfPJABQvEXsCtVFtewJwbIUmNmdC3dOp6gXLknbV2tt45D3ua+6t+d/Z3PcT50XvVMWbbOuCm939H2t7m80dVaqW32Vmm3qwREREREREfKIGloiIiIiIiE8CHSK4NXTTNeDdrBYhpZY7HPCZMzRUJZHVHNTRxgeXuOv3tL2urc090GpoXpckkpR6NHMn8Zn9ysyoxxpdcYGNK7asAUD5MtFrtmzettPGm75dFfV4usp5Qw2/ecq9CV/D07KmTVVvfaMf+oXifgEVIznSq9GN3h/D3F92qCDQd/cj0TtFTE5y680XAzC8hXcTf2qhhJlTLF/56o8v3GDXgdgbZmLum3Pi2q7VS9Ojcke0PhqACT3/Y3PNDmuRo3oKmlub3Br6HZG8Lpha/KIeLBEREREREZ/okork2F2Xe1fW7x8yDoD+J14YUDUiyeu8Gu4Uwq2umWFzs8Z/E7VduGdqU3aepLB3Xe26/m7vc58Tuthc/XKNs3NUkXwp3JvV650bM9lSgnDmkecAMP7hf2xu4IRXAPhjnTcBF79t9+X5UhpUACBtpzeZ0MHQ8kKn3uX9G9n98ve+PJ8kL/VgiYiIiIiI+EQNLBEREREREZ8EOkSwdpl6Nq7V1o1/n7o0qHIkmwadONCLPxoYY0sRiaVSscoAfHr5szb3SYtJALz845c2d8qR7k3VL0z9KuoYDY+pke6xezR211xqWKGRzdUuc0wOKxYRCd7lta/y4oFuvHyrtw7dd39Gr6n0zKzPbDx/wtwMj33v0O42vq5RVwA27/WGJB4VWpfww98/QCRMPVgiIiIiIiI+CbQHq0yRcjb++fYP3eD2gIoREUkQqYUK27hDzUsO+R3p9hNui8qJiAjULdsw3TisS72rvT+6Z+3YVUscFft4UuCpB0tERERERMQnamCJiIiIiIj4RA0sERERERERn6iBJSIiIiIi4hM1sERERERERHyiBpaIiIiIiIhP1MASERERERHxiXEcJ/6NjfkbWJV75SS1Go7jHBZ0Ef+mcxaTzlny0TlLPjpnySchzxnovMWgc5acEvK86ZzFFNc5y1IDS0RERERERDKmIYIiIiIiIiI+UQNLRERERETEJ2pgiYiIiIiI+EQNLBEREREREZ+ogSUiIiIiIuITNbBERERERER8ogaWiIiIiIiIT9TAEhERERER8YkaWCIiIiIiIj5RA0tERERERMQnamCJiIiIiIj4RA0sERERERERn6iBJSIiIiIi4hM1sERERERERHyiBpaIiIiIiIhP1MASERERERHxiRpYIiIiIiIiPlEDS0RERERExCdqYImIiIiIiPgk6RpYxpgKxpj3jDE7jTGrjDFXBV2TxGaMqWmM+dgYs9kYs8EYM8YYkxp0XRKbMWaaMWaPMWZH6Gdp0DVJbMaYV40x640x24wxy4wxPYOuSWLTZ1ry0Xtj8tHrLPlEvL7CP2nGmKeCriteSdfAAsYC+4DKQBfgGWNMo2BLkkw8DfwFVAWaAKcBNwVakcSrj+M4pUI/xwRdjGRqJFDTcZwywIXACGNMs4Brktj0mZac9N6YXPQ6SzIRr69SQBVgN/B2wGXFLakaWMaYkkAnYLDjODscx5kBfAh0C7YyyUQtYILjOHscx9kATAH0xibiM8dxFjuOszf8Z+indoAlSQz6TBPJfXqd5QudcC/UfxN0IfFKqgYWUA844DjOsojcIvRlPdE9DnQ2xpQwxlQDzsVtZEniG2mM2WiMmWmMaRt0MZI5Y8zTxphdwBJgPfBxwCVJxvSZlrz03pg89DpLftcA/3Mcxwm6kHglWwOrFLDtX7mtQOkAapH4fY37RrYNWAvMA94PtCKJx93A0UA14HlgkjFGvSEJznGcm3DfE1sD7wJ7Y+8hAdJnWnLSe2Ny0essiRljauDeWjI+6FqyItkaWDuAMv/KlQG2B1CLxMEYUwi3t+pdoCRQCSgPPBhkXZI5x3HmOI6z3XGcvY7jjAdmAucFXZdkznGctNAwmCOB3kHXIxnSZ1oS0ntj0tHrLLl1A2Y4jvN70IVkRbI1sJYBqcaYuhG544FLbrl8AAAgAElEQVTFAdUjmasAVAfGhD6MNgEvow+jZOQAJugiJEtS0T1YiUyfafmD3hsTm15nye1qkqz3CpKsgeU4zk7cnpBhxpiSxphTgIuAV4KtTDLiOM5G4HegtzEm1RhTDncs7Q/BViaxGGPKGWPaG2OKhc5bF6ANuncuYRljDjfGdDbGlDLGpBhj2gNXAlODrk3Sp8+05KP3xuSj11nyMsa0wh2KmzSzB4YlVQMr5CagOO5sIm8AvR3H0VWIxHYJcA7wN7AC2A/0D7QiyUxhYATuOdsI9AU6/usmYUksDu5wwLXAZuAR4FbHcT4MtCrJjD7TkoveG5OTXmfJ6RrgXcdxkm44p0miCTlEREREREQSWjL2YImIiIiIiCQkNbBERERERER8ogaWiIiIiIiIT9TAEhERERER8UlqVjauVKmSU6Nm9dyqJaktmL9wo+M4hwVdx7/pnGVM5yz56JwlH52z5JOo5wygUqWKTs3qOm//tnL1ajZu3JSQa3HptZaxRH2t6ZxlLN5zlqUGVo2a1Zk5Z0b2q8rHiqeWXBV0DenROcuYzlny0TlLPjpnySdRzxlAzerVmTdjWtBlJJzmp7YNuoQM6bWWsUR9remcZSzec6YhgiIiIiIiIj5RA0tERERERMQnamCJiIiIiIj4RA0sERERERERn6iBJSIiIiIi4hM1sERERERERHyiBpaIiIiIiIhP1MASERERERHxSZYWGk5UMzZMs/FZ1/Zyg6NL29zngx4BoEnFpjZXqnCZPKlNRMQPe9P22Pi3bcsAeHLhazZ3eImSAHzxyzKbW79+k41HXt4VgMtqX2lzhYyusYnEw9m41sbrLuwEwIhF69Ld9rHLTwCgxMuTcr8wEUlI+nQVERERERHxiRpYIiIiIiIiPskXQwQPkWLc36t22NRZ198IQLNOzW1uRvdX87Ssguagc9DGl390CwDfLVhqc4cfXt7GJ9SpAcCtzbrYXK3SdQAokVoqV+sUSUR/715v484fDAJg1kfzvA027nZ/l4h4Cy8cul62bb+XK55iw+7fDAWg9v+Otrnmh7X0qWLJiR37t9n47Fd623jhxHlR2w4YcjUA/znp3twvrICKHA4448T2ALz219aY+7QoXczGt01YCMDYcx63uZQrbvWzRIlDjeFn2/ivWSvdoJCJuU+J4yrbeM6A5wCoUqKazen2EomXerBERERERER8knQ9WLsO7ASgw8RbbG7W14vi2vecRo1ypSaJFnnz/JOn3wXAFZu8K67z3veuzO7b615xb/5mD+8AaQ4Aq5/+xKYOK141V2oVfwz6dkhU7tGhr2fpGLNe9XqWT6h0Uk5LSlrtX/be3wqFrrhe3rWdzVUvWxaA82udYXPHlGsAwLb93pX24inFvceHXgFAv8ljbW5mD/VgBem/P78AwEuzp9ncwvfmexukRF9tHzX8FQCqPXi4zfVseH3uFFjA7OrRAfB6oCINOt7rxaj24TsAmEpH2lzaW15v1exr3Ym1bg79BnhsylRAE1/khUWb3O8XG7d4PcO25yqd11SkXT/8aePG3S4GoG3302zu7Q4PA+rJksypB0tERERERMQnamCJiIiIiIj4JOmGCC7f+gsAc+b+7CVXbvfiGN2/9w8bb+OWz7prYrWr1t7fAgugXQe8CUVmrJ8OwIZdf9nctNWLAZj31nfeThE33790lTuEsEapmjZX/a4LAag39HKb2zzqG/+KlhwJDwfM6hDAzLTq2tXGu6csi7Fl/jb1umdsXL5opSztm9H2xYsVAWDB5AU2t6fbLgCKpZbIaomSRYs3fw9Aq5E329y+taEhTFv2eRtmMoQprO/QJ2y88x73PPZp7B07pVDSfbznqfBEFuOPbWtzs7e7a811ObyszbWa6A79S2l2VszjRU5i0aLfmEOOB96wwxaf1LG5rn3dSRhS7306y/XLocLDAgHOGn0HAAeXb/Hl2NPGTbfxn2e6ExBpiKBkRj1YIiIiIiIiPkm6S1wb92wCIG373hwd54IhAwH4ZKjXxmx7ROwrVAJpBw/Y+O6ZQwAY+3zETbt/747vQDu947S+uScAkx571OZKly0JwPYfvRtOw1NXa7KLYCzc6PVA+tFzVbt9Qxt3bNEkx8fLT7Laa5WRJVt+tPHm+esAOLlzC5srGjEJhvjv+01zbdxyYC83WL/Ln4Nv96bjHzAo1OM5wnu43/H9/HmefCRy+vXeNVpEPT7mHnfkRE57lC4/151w5syl3kiOKuc3A6DPAx/a3OxQ/NiKNTanSTCyZt3OVQC0eqCPzfnVcxV2+8DONj6qZE1fjy0ZOxD6vrk3zfteOfjbUVHbLf/nHxt/8ezUqMeLNXGn3n/z5rttrv1RF/hWZ0bUgyUiIiIiIuITNbBERERERER8ktBDBHt8djsAbz4+OfaGB52sH3yNOzHDkn9W2JSGCGbunIk32njGeHfSiVJNqtjciAG9AbiqrtelvjvNHRLz4uJXbG7YY956R+xJA+Cv3X97++xxb/q+ss/5NqehgcGKnIAiLLNhfp3qngcU7DWt8treNO/G+pajbvIeqOJOZDH58idtypj4JlSQ7HlywVveH34NDYxhyBsTbawhgtEiJ7QIi1zfyq/JJoo/7A7ZrLrqF5sLT5LxbMRzpLfuVngSjO4bvO8mkrE6l4a+txXK5L0s3u+J6Wz36Ig3bNx8zLEAdKx1aXzHk7jsS3Nv+7l75jCbmzTLfV2smxbxWsjsIyudx/cscm81GTP/I5vTEEEREREREZEkktA9WPbqapzT1gK06NoKgM7Hn2xzb3w/G4A5b86O2v7pqZ/ZuOsxXQBNv5me37cvB7xeK4CWXU8B4MsrX4q5b2nKATCwuXeDYb//eTekbtrj3gh83n/721zRIu4/zdGn3ZuTsiUO4ckr3ln+sc2NaDkkartZr3q9juqRSjw79rtTfrcce7XN7fnZ6xWeM+41QO9veWHInOEAvDE6zgkLsjMKI5199uzwbgZfu3MlAEfqpnzS5n8OHDpterjn6shZc3x/PlPpSABSQr8zEp7QYkwdr6c5PAlG7VqNbK7174v9LjHf6Nj3XAB+WrbK5lZ8uSTjHTL4PnnyFe6kJ07E6+q7t6P/bVzZbxAAH4z1Jgg6+6jzo7aTjG3Z605Wt3DjfJu78fWnAFj95dLYO6d6/UKF61eMenj/7tAEeL9uy2GVOaceLBEREREREZ+ogSUiIiIiIuKThBkiuGWfO4/99D++srk3XvsiesNKxQAoVrm0TTVveoyNP7zEvYG7cKEiNrdqq7t+0hyihwgu/8K7CXX3DTsBDaFJT9FCRd0g4kbShYvcYYN7LvNu3i6WWiKu46Ua75/e3d88AcCKqV63/n8fvQeAskXKZ69gienY0R1t/OunP0c9PmLKkKichgUmjm373HVenv3pvzb3xKQpAPwze7W3YbEUGz614E0AmlXx1jPrVr8bACVTS+VarQXRg0NDw2mzMLzdysk+q3bY1NBvxwLwwpkPZ/14+cwr5/eOyuXG0MDsipxcY9BH7rCpEYvW2Vyr0BDH8EQZ4hnbzh2y12bp9XFtX7ddAxvfee5FNr641iUAnPdGn6h90lPIpGS+kdjJK+6cMdTmnh8Xuh1hQ5wT/5Twvi9OGeNN0nTaEWce8hwAE3+bAMB1twyPOkzdChXiez6fqAdLRERERETEJ4H2YIUnTgA4+UH36sP2Beu9DdK5kte1i3sFJ7Orcn/u9q7+jB75VowtJR5HlKwOwHW3eT0fLz74LgDlr29lc0/f3ReAbvWusbnUQtH/zK746DYbT/k8NMnC2Ids7rzqF/pRtvxLeEKL9Hqtbv/PVXldjmTB95vm2rjliNBV1iWbY+8UWgIB4NVHP3B/Rzw85MS3Adgw7EtfaizIwqMwMhUahQHA3rTwzulvW8S9Btqzr3el/b6TbwHg87XeCI/rbrs/atdXX3V7Pfo29W4kP65Cs/hqzGfCk1u0KF0sky2DZ3vWSnoTZKzvOyj0mHqw/q3e0E4A7Pzpr5jbhZeTmX7jCzZXvmilqO3mvhXRsxmjN/nMI8/JSpkFyr6D3vvZZZPdycs+ezadEWmR6rqToR1R1Zu44sJTmgLQuf65Nnfy4adG7Tpzw3Qbp9dzVevM+gCMOuW+zEr3lXqwREREREREfKIGloiIiIiIiE8CHSI4ZdXnNt6+aIOvxy5XxOtm7HST25X7ztNTYu5z1aTBAHx++X9jbleQPdn2ARvfdeINAJz59C02d9OtD7rbdfjE5qZf7/7/HDlvtM1NeXemjVc/4257WPGquVCxRGrVtWtUrnb7hkD6a19J4iiZWtLGzY6vC0Cby2rbXJPK7mQ/F9S4iFheW+YNErxl4OOAt24TwJCTB+e82AIkPNQ9PMw9Q6GhgR8M84bzrdvpfu7ddNtD6e4SHhr4VNuRUY9VL31U7Ofb5A6L27l/Z+ztCpAzj45eNydRjbnHGyb/7X/dIVCxV9UqmJ7v6Q6X7tI39vvW3/dPj/l42I+vv2/jxld1zHC7GsPPtvGqwZ9luF1BV6WUO4HSsR1PsLn72l8BQM0yNW3uiBLuv+6yRbyJKNK7vSRSeNj8eYPuinrs1B5tbDz+fHdoYJGUolkpPcfUgyUiIiIiIuKTQHqw9qa5V9a+Xh2xYnNaaPXsiFW0Szd1ezSW3/eezWVn2u40xzn0OSKeJ/wcABM7ajrbzBQyXpu8eqmjAVh212Sb+99FLwPQa+hjNld5UvT03jNe+Z+N1XMVrPCEF8fiXa3r2KIJAJ3qnmdzmqY9WHXLNrTxjO6vxtgytusb9rLxfy+YBsCDT71tc+rBylzkhBZ2gqZMRmFMHOJOU3z2UedHPXbMS3VsbIx3Y32zSidnu8bml54IQOMKTbJ9jPzmi9822bh7cGXExdSpZ+PX/voQgNZBFZNgPlvzkY1tz1U6E1KcfEWLLB/7uR9f9/6IMclFr3PPyPKxC4oiEcskPdcu1Dvfzp9jR06g0e2V0GiAiOnewz1XkzuNsbmiKcFMbqMeLBEREREREZ+ogSUiIiIiIuKTQIYI3jr9PwC8/8ynXjKdrtjhV3YGsjcscMs+byiAfZ6I5wgPDfzubm9Ci+w8jxzq6mN6APBCe29dnXlvzInabu6fC23c7LCsd+NL9oTXunp06OtRj0WujfVoKH4Ub7vIdbI0IUb+cP+57np1HaZH3yQsGZv+x1c2PmTtxrCIoe5hJx2e8RDbVlVOy1lBadHPN+8td827H9p777U5fp4k1eXwsgC89tdWm+seUC2Sfe/+NgGALqNGxdzu9B5tAZhwQfqTx8QyZuQE748YQwTvaT4gy8eW7AnfVgRQ/k7vPcz5xV0HslTErT4fdRoL5P2EFulRD5aIiIiIiIhP1MASERERERHxSSBDBGf8sDTzjYA129xZmdIOHrC5lEzmxY/XrDufAaBm6TqZbCmZOegctHGnSX0BmPemNyzwxafcWX4emPyOzfW/w1sTq8jowgBc26BnrtYp3tC+EVOG2Nygb4dEbZfeEMLIXKdX3dkFNbNgPrEvzYY79m8DoFThMkFVk7A+WT0JgM5DvHXDYg0jinxs6OwnABhzeuzhTdkSo4bIWQkLqpY93WFFrz3woc2lzXfX4UxpdlYgNUnWnV7Nnbmv9OFP29z2ddHrvE2f8T0A287eYnPxvp+9McZbp+7KfoMy3O7st7117z677IW4ji3Zs3jzIhuHhwUCUNGdHfCr2x+3qUQYGhimHiwRERERERGfBNKD1aOtezXp3qlLYm43ae4PAAxo7s1xX6pQ9FWITXv+svGEFRMBWLPtz6jtwuuCAHyzfhYAdco2iLdsycAHK72eqSlPu1cF+wy6wuauqtsNgEtuudTmjvy7vY1vfvo5AE74z3E2p56RvJPehBXhHqpurzxgc5GTYLTq2hWA3VOW5W5xkqvW7wqt3VQkxebUc3Wo7zfNtfEl94XW3Nm0J4OtQ44u7f5etcOmXhzzYdRmj7YZAmS+TsuuA95V+u373avyZw27I3rDIt410559LwJytpZWfpHS6x43iOjBeuX83gB037AiiJIytXfK1KBLSDgO7mQuBw96o2bshDJHlLSpD/oPCaWqZ/k5IkfkpDd5TKkmVbJ8TMmen/5xJ+g55dprvGQZb42tBU+560E2KH8ciUg9WCIiIiIiIj5RA0tERERERMQngQwRHPr6xAwfq3JKLRtP6/U8kPmQlV+2eEOXbhv4ZIbbPXSOd1Niy8ptMq1TYgvfDH/V4OFRj91zYr+oXLGU4jaecddYG5/Q013v7IqXhtncgv7uhAoarhSM8BDNji2a2NyjEUMEa7dvmOc1if9uePCJoEtIeDv2R9xEH2NoYOQQ9Dcudd8Th347Nmq7vWnehCIb97hD2auVrBGzhvFLxtvYfsZFDl8KTXIRHhYI8FTbkTGPWZCYSkcCMOj4ajY3YtE6AM5s5Q2hPHJW9JqNQZnwyS82Dq/jVdD1/sJ9Xe38ybsthELuv/2LL/G+05155DnZfo4ufQd7f6Qzeczsu93vpbXLHJPt55CMLdz4nY1bXXt11OM/PO+tU1a3bGJ/D1EPloiIiIiIiE8C6cFq3rQ+ALN+mhH12IZvfrPxzU1HAHDTCR1tbuyC9wB4f8wUb6eDEVfyCkVfcejSvwOgXiu/fbH2MzfY6F3VTWlUEYDShcvF3Ld+ucY2fv6BOwG44RZvQoVx5/wPgD7H9fGlVsma8FWk92d/H3AlBUua4/Zu9PnqHpsb09adNjinS1SEb97u8kl/L/mH2zvTf/CVOTp2QRbuufrkKq+3Ktzz/sKZD+fo2Fv2/QPAf96cEHO7S28+F4BHWw/J0fPld9U+9CZkanFsW8DryQIYFOrNCrIny9m4FoDZ273P1a59zw6qnIQyqGV3ACZ/6fVyHFziTts9dZY3lfePJy8AoHGFpnlXnOTIvrS9ALQa0MtL7nc/s9pc19amEr3XKpJ6sERERERERHyiBpaIiIiIiIhPAhkiWO/wSgDMirH6PMB7T7vDAN9jSvSDGe0bzlfz1kS4pZmGv+SGeRt+isoN7XoZAKlZGM7UsaY7BPSGog/a3N+7/slhdTLo2yHAocP8XunmDj1Lb52xQ24uDa1zlZHIyS/EPz9smg/AuIffs7l5y1cCMKnbozZXpcSRcR1v454NNm73/E0ALPvEe92WPdE9zj0n3p69gguadNbFOeaIykDOJuQJTxgEcPYrvW28cOK8DPfZ/fHSbD9fQRWe7ALgmp+muUFoqCB4wwUf69HB5kq8PCnX60qb/7mNw+tztSjtrY2Weu/TuV5DMggP+TusvDfpx5+4QwS3LVpvcy3ud9/rlg/zhtamtybW8O+82xJe/Gy6v8VKppZtXWzjDs8PcIN13qRCx13SDIBPL30+T+vyi3qwREREREREfBJID9aMH3y+8lamsA2L1SwPwLcDvCs+kRMqSO5qV711lvf5KzRVcfiGRsm+cK8VwKNDX496vNWnsXumYomcmn1EyyEZbyjZ1jC8In0d7wrtT++5q9nXWtLJ5ib0uxuAyiWq2NyHv7qTziz680+b++LNb7yDb90HQPmTj7Kppfe4N/1rOYQ4pTNyYsq37s3113KHzb101iNZOuwhvVbvzY96vnpnea+9m9ppwgM/hHuzum9YYXOXh3qubpuw0NtwQvQU71X7uaNiUq64Ne7nC09ecXCqt0zNK/3GAIdOaBHuubI9bGKFe5z+/NGbmCS9XuXwxBe1Lz8rIhnaLp2J0A7dOfp4z48eaGNNz+6fGz/2RmWs/jLULogYffb6FUPyuCJ/qQdLRERERETEJ2pgiYiIiIiI+CSQIYLf3uyucdTKXGNzy7/4JaPN0xVeewTg2pPb2rhH/etyVpzErXBKaGhm0RSbq1GqVlz7bti11sY9J49yg4iu+drlj/r3LhKH9IYF5sTt/7nKxhoWmPuKprjDg5aMfNPmTnqwJwDb5nnDYi7vPSDjg0SOcIkYDXPMee5Q6Xeu8W7sLl0k9np1AqULl/L+qBiaeGCTN6Rr09w1ALwR+g0w8bNvATCZjEYK2/fTRu+P6t7z1W3g3pg/s/c4m9NwztwTntBi7DmP29ysAS8Ah66XxbWPHPo7hx67/AQbF3/4GeDQCTnENfgkd5KmlDu9voFPf3G/O373dpxrl2UyuVq2t5W4fbbmIwC+nTTXSx7lvu/98PCrNpXswzHVgyUiIiIiIuKTQHqwwlfgpt3oTb3YfOfVAKyf8VvU9uNGD7Zx9dJuz0bjCt400bqiF4xbjndX3B5Vybtpt94w90b8gZd1jNp+1da/bfz8SG8fSrk9YbcM7mxTVx/Tw9daC4rIHqf0erPCj0dO3R6ecl09VImjRqnaNl4wYBwAYxe9ZHOjnw5N417am+DnuKb1ABhw5iU21/6o82xcLKU4AIWMrqtlxfEVm9v4/eEjAHhq/kc2N/XFr6L22b841COVjSvgj/e93sa9Gt2Y5f0l5yInr2gdik/d6I26SHvO7QXe8NF8sio8Qca/n0fid09zrwf/luPdJQ4uK3mnzU0b58+U63XbNQCgXbUzfDleQbbzwA4bd3n2ITcoU8Tmvh81HoC6ZRuSX+iTVkRERERExCdqYImIiIiIiPgkkCGCYRWKHmbj3+75JMBKJDvKF60EwFcPPGlzp9/VB4B7BzwTc99mnU+y8cTL3UkuqpTQTb05FTnMb8SUITG2y/1axB/VStYA4IFWQ20uMpa80/6oCwBoUsmblKBmOkME43Xvfe5ET2cc1crmGpRvlO3jSe6JnHQi9V53nc0j7w2qGgkL3yLydoeHbe6CXbcAMGfC7Jj73j7Quy2hR6Mrox6vULQi4H3XkazbFRoa+NC8x2xux4L1APQf7P0/P6bcsXlbWB5QD5aIiIiIiIhPAu3BkvyhReXWNt49flGAlYiI5L7KxavZePekJQFWIiJw6GRn07qOc4OuwdQinvW73OUNHhrqTb/euX8HAIa1GBRITXlFPVgiIiIiIiI+UQNLRERERETEJxoiKCIiIiIiObbrwE4bn/vs7W5QyxvC+XAbd82y1EKFyc/UgyUiIiIiIuIT9WCJiIiIiEiOXT3lbhuvWfEHAMsee8fmKhWrkuc1BUE9WCIiIiIiIj5RA0tERERERMQnxnGc+Dc25m9gVe6Vk9RqOI5zWNBF/JvOWUw6Z8lH5yz56Jwln4Q8Z6DzFoPOWXJKyPOmcxZTXOcsSw0sERERERERyZiGCIqIiIiIiPhEDSwRERERERGfqIElIiIiIiLiEzWwREREREREfKIGloiIiIiIiE/UwBIREREREfGJGlgiIiIiIiI+UQNLRERERETEJ2pgiYiIiIiI+EQNLBEREREREZ+ogSUiIiIiIuITNbBERERERER8ogaWiIiIiIiIT9TAEhERERER8YkaWCIiIiIiIj5RA0tERERERMQnamCJiIiIiIj4RA0sERERERERn6iBJSIiIiIi4pOka2AZY141xqw3xmwzxiwzxvQMuiaJzRjTwBjzpTFmqzFmhTHm4qBrktiMMX2MMfOMMXuNMeOCrkcyp3OWfIwxRY0xLxpjVhljthtjvjfGnBt0XZIxY8yOf/2kGWOeCrouiY8xpq4xZo8x5tWga5HYkv37ftI1sICRQE3HccoAFwIjjDHNAq5JMmCMSQU+ACYDFYAbgFeNMfUCLUwy8wcwAngp6EIkbjpnyScVWAOcBpQFBgETjDE1A6xJYnAcp1T4B6gC7AbeDrgsid9YYG7QRUhckvr7ftI1sBzHWew4zt7wn6Gf2gGWJLHVB44ARjuOk+Y4zpfATKBbsGVJLI7jvOs4zvvApqBrkfjonCUfx3F2Oo4zxHGclY7jHHQcZzLwO5A0XyIKuE7AX8A3QRcimTPGdAa2AFODrkUyl+zf95OugQVgjHnaGLMLWAKsBz4OuCTJGgMcG3QRIiKJxBhTGagHLA66FonLNcD/HMdxgi5EYjPGlAGGAbcFXYvEL5m/7ydlA8txnJuA0kBr4F1gb+w9JEBLca/w3WmMKWyMORt3OEyJYMsSEUkcxpjCwGvAeMdxlgRdj8RmjKmB+1k2PuhaJC7DgRcdx1kbdCESv2T+vp+UDSyA0HCzGcCRQO+g65H0OY6zH+gInA9sAG4HJgB6kxMRAYwxhYBXgH1An4DLkfh0A2Y4jvN70IVIbMaYJsCZwOiga5GsS9bv+6lBF+CDVJJoTGZB5DjOD7hX+gAwxsxCV/1ERDDGGOBFoDJwXuiilCS+q4FRQRchcWkL1ARWuy83SgEpxpiGjuM0DbAuyZqk+r6fVD1YxpjDjTGdjTGljDEpxpj2wJXohsWEZow5zhhTzBhTwhhzB1AVGBdwWRKDMSbVGFMMSMH9ICoWmhFSEpTOWdJ6BmgAdHAcZ3fQxUjmjDGtgGpo9sBk8TzuF/MmoZ9ngY+A9kEWJRnLD9/3k6qBhTuDSG/c4WWbgUeAWx3H+TDQqiQz3XBvTvwLaAecFTEzjCSmQbjTDw8AuobiQYFWJJnROUsyoft4euF+6dsQsbZSl4BLk9iuAd51HGd70IVI5hzH2eU4zobwD7AD2OM4zt9B1yYZSvrv+0aT34iIiIiIiPgj2XqwREREREREEpYaWCIiIiIiIj5RA0tERERERMQnamCJiIiIiIj4RA0sERERERERn2RpjZRKlSo6NatXz61aktr8hd9vdBznsKDr+Deds4wl7jmr5NSoqXOWngXzF+qcJRmds+STqOcMdN4ysmrlajZu3GiCriM9OmcZS9TXms5ZxuI9Z1lqYNWsXp15M6Zlu6j8zJQstyroGtKjc5axRD1nNWpWZ+acGUGXkZCKp5bUOUsyOmfJJ1HPGei8ZeSUk08NuoQM6ZxlLFFfazpnGYv3nGmIoIiIiIiIiE/UwBIREREREfGJGlgiIiIiIg8z6OwAACAASURBVCI+UQNLRERERETEJ2pgiYiIiIiI+EQNLBEREREREZ9kaZp2ERERic/+g/tsPGP9NAAen/e+zc2ZvwSAYxvVsrmXzx9k48OLVwWgaEqx3CxTRER8ph4sERERERERn6gHS3LFwQ2/2diZ83nsjavVBCCleftcrEik4Fm0aZ6NW3S9CoCSJ1SxuY0PfJ3nNRUEjy58DIBpq5bb3BcvfJnh9jPnr7NxvfHn2Lhii+rucfo9aXN1yjbwrU4REckd6sESERERERHxiRpYIiIiIiIiPknaIYJpsyd5fyxbbMOP7nkZgI8377S55qWKAtDj4ettrtDlfQAwxUrlZpn52u6eFwGwZ9XGqMd+WL7Zxm/8vS3mcZqGzs91Ex+yuZTWnfwoUXLJ2p0rAah756VecuX2qO12f7w0jyqS9Hz/9w/eH8YAsHPRnzY1fslLAHSq7Z3HUoXL5E1x+diD73wIwPYF672kyfpxNs1ZDUDjwdfY3PbHZwKQWqhw9gsUkUzVe+gCAP7T8XKb61Lv6qDKyXd2H9hl4/FLxgPQ//HnvQ3+CD1+0LGpxpc0tXGf09zbSq4+pkcuVpl96sESERERERHxSdL1YKVNfQOAF670prL9cee+qO1SIi4XLtzhPr6w91ibG/nuZwCUfvsTmzOFi/pbbJI7uPoXGzt/rABg66BRNjf4W/fqahoO8ahfvEi6+QU79gLw+wW32dyID91jppx2abr7SLDumzXGDdbs8JIp2bhEL3nHCb9OvfN0Y3/39XzKW61sro56sIJ1dGkv/j3UK/zrVptq+MjFAHzXb7zNlStaMU9KE0k0aQcPALByx682V7vMMdk+3sY9G2y8Zt7vAJiL9dnmp792/wFA7cHe97sDv2yK3jD8v72Q9///xw8W2rjXD+730lYPtLS5OmXq+1hpzqgHS0RERERExCdqYImIiIiIiPgk6YYIDrpkAADbDhzM0XEGfu6uT/LEmHttLrX/Izk6Zn5xcPl8ACaffpXNRU4a8m83HukNTzn26lMy3M40O9n7w/GGFd562WAANh9Is7mvr74PgNNXaYhgovhg5Ts2fuO1L6I3qFQMgGKVS0c/JsELTXJx6GQLGvoSqKPd4Zhzh3o3dpcrWt7GHV+5C4DFkxbZ3Jrp7mfXQ6d6a2M90GporpYpkqgmr/4AgGmrF9jc6Db3Z/t4+9IibjnZcSDbx5FDfbz6Qxtf+rh7fpylW7wNqpYA4Oorz7KpaxtfCMCO/d73zwtGet/Zw0Oo+34x2qY+ueQ5/4rOIfVgiYiIiIiI+CQperCcbd404Afjm08hUx0qlgQgpced/hwwH3my5WUALNntXcmpmJoCQMsyxW3u3PeeAKBQ/ZNszpTyrr7G4mxcY+NU4/ZW7Xd8Ornim6nrPrVx55vu8R5IZ0KLrl3cK08vnPlwrtcl2ZDOJBfoNZcrnPD/14j/v6a++974RM9rbe76hr1iHufjax4HoMYvHb3kcnfCi9Ej3rSpK17pAMDxFZtnv2jJsgfmjUo3P3z0626wea/NFW5UCYABV3SI2r5rfW8a8OqljvaxwvzvsW/cnpEjKpYLuBKJ5ZdNK2zsLAn1XFX2vk/OGuX2PJ1Q6SRiOe10byTN9N+n+1ih/9SDJSIiIiIi4hM1sERERERERHySFEMEt3XuZOMdaTmb3CKsbIr7n27KVfblePnJTVc1i8oVauCuK5Hae4Qvz/HHRd7kFbsP+nNOxX8DP3o56BIkB2as9day0yQXeWfmXU8DsOvALpurV7YhACVSS8Z9nMOLHwHA4uGv2lyjK6OHmD39/QQAnmunIYJ+2HXAW9/vlaXu//vnpk+1uV9mLnWDiCGA6b6UInL7f3ZvdRj+n+j31JENvAkAtj8yKxsVF1zfvf6tG1SLeF2dl/3jLdu6NGcFSbr6HHeTjTcP3gbAwBPvsLmSqaUy3Hf7fm8dwOlvzYx6/KJ6Tfwo0XfqwRIREREREfFJQvdgpb3+KADPzlkd9z6ty7pTRX+zdU+u1FQQFHny7Vw5btoXr9v41SV/xdy2zQRNlBCkTXvc8/PXX5u9ZDozzBRtfJiNNblFYlix1eu1evUx78p4upNc1C0LQJVQT4n4o17ZRr4er1rJ6jYu09Q9V9sW/GFzEz53r+KPPd2bVjq1UEJ/vCeMr9d7PVNfr/0OgPtfnOhtsGbHv3fx3YEN3nP8svkHABqUPy7XnzdfCL2t3dDt3Fw4thP6pcmAcqpoSjEbj2g5JEv7frRqkvdHxNT5DS5wXyM3Hts7R7XlFvVgiYiIiIiI+EQNLBEREREREZ8k9BiCF251bxRevSf2atqdDy9j41OmuTf7Nr/4apsbvTT2cDTJXU6ae/62P/KMzf2+Z3/Udj0qe+tYFGp8au4XJhmasMIdIvPnnFVeslDE0LLQOljDulyOJJbnfvSG4qY7oUVErk1r9+bgUoXLIIkrcnjNY916ANBzwf02t+cH9zPup80Lba5JxRPzqLrEN+2PzwH4bOUMm3t+8lcA7FyxydtwZ+zvGllVtlk1G2+dvy7jDSt451dDA7Mo9H5WyPgzYc83a+dGHNuEfmkyoLyyYddaG09d+yUAPW/13uso5TVb7jjrwjyrKzvUgyUiIiIiIuKThOnBSlvwBQA7Bg23uV92RfdyXHdEeQCKFUuxuQZzptnYlHBv2q51dzebO6L34wD8sTfN5v454F6pcjZ5V5VMRe9qk+RMuNcKYHfPiwEY8M3v6W57aaXSAJz03RSbC59HyTsHDnrnbM22P2Nue8e9VwJw87E3xdxO8t7sX1d6f0Tem53OJBdXHdsiL0oSH11a2+017t3wOZvbv3hjUOUkhXPvvN0NtuyNvWEMJY/3lnQ5qtrhALzVdej/2bvvMKeK74/jn9ldekcQFQREqtiwgyL2ihULdqyo2As2VBQRCyoqoj8VRcUvil0pdgFFBFHAAogNEGlSpcMu9/fHZGeCSbZxs0l236/n4dmzJzfJgUt2M5m5Zwq8z4zlM13c9bvbEx531/ldEt6G0rVkXfKbmsBan7fOxeeOvlmSNHLYOH9AvNdrBf/eP/89S/TjVM6uEnKVJccMFgAAAACEhAEWAAAAAIQkbZYIjjyxhyTpo+VrY267v1MzF9ccYS96M1nZMcdFyz7zOhfv19MupXh3g5/6HbVsjSTp6Jcfc7mc6/sXt2wkkPf4LS6+YfiUAo6UDjlnP0mSqdcoqTWhYEs3+GWBj/V7vcBjG9Wwy2Wy2WsnbXz810hJ0uTXJ/lkIU0u2m27R9LrQrjyG15Uquhfe5vi7FGHOHao5sKGO28nSXrwjAtc7pnJthlGl132drl9G7STJO1cs4XL1a60TZGebs6qOQXeblrZxk49du9epMeDtTZ3Tek8UX37Wjt95zNL5/nKmbd+93uujnz6k6LdKWrZYPcbHpAkXbvbCy43r88oSVK1CjVCqHDrMIMFAAAAACFJ6cfPuXde5OJPVsTOXD16vm0zW/EpP8otbOYqnsM/eUWS9G67U4p9XxRPsHq5JOmLx0fF3Hbetr5xxQH9LnZx1hnXJr8wFOrs9+4q8PbtDtzJxWc0Py3Z5aCYLh3yuA2C6NmMqOmq/HzUp/i7191bSJ51uf732hfzPy32/ZvWaCJJ2qVO7EzjFq2jI1soTFz4nUvRpt378OFHJUkNq/tVEs1rto45rkuzcGcq7vsizkqA6hVc+OhF3SRJNSvWjj0OCb3759vFvk9+++/81t9S/PbrL3wwxsXHdLHbxVTIqljs50PhOjft7OKs1nZbpupVfZOKMw63TZju7+BXRI2aO9LFFz39pCRp/Y9+K6Z+kx+RJN3Xvnf4BRcTM1gAAAAAEBIGWAAAAAAQkpQsEczfe2r0kPEul3+NbtVsP2Vbsd8zkkq2LHALFZjeTabNC3538Yh9j5MkjVruL0LNjixT2v/c/X2u6w2lVB0KM2/NbEnS1+Om+WRe7EXzf97xYUwOqfX3Gn8R/eKf5tsgetlLnCYXD19zsRCezcFmSdK7f77pclMWz5Akvf319y73x2czVSTRL70qkd99dSvHHrd4XUxq/+1Y8hlPpx2OKNXnu+iTmyRJkz6eGnNb39v86+/yXa8otZrKkt7vRC29jLxeXvtsgkt98YPdV+yXkT/G3jnBCup4Pvw50njhxBIUiULVqljXxWse+aZI9zmz+TkubtKzsSTp0AsvcblH+gyTJHV5+TiXa1dvv62qs6SYwQIAAACAkDDAAgAAAICQpGSJ4Nf7HCVJ+nCZ77DUoortrHP1631dztTetnQLQ4lsfuIeF+cvDbywge+KtPdNJ0mScq7sK6Sfu74eaIO//D5xiizVPa3HsSmoCEU1YMrz/ptVm+zXBF0Et21vO9JdtftVpVBZ+ZG/NPCcq++MvbEYy5HiWp9nv84v2r4/Q6e/5+I9O9JFMNlyN29y8eR//BKnYS9+ZIN1uS7X49bTJUkXtTm/dIorw3p2PsnFV3/xsCRpxbd/u9yKukskSbudspfLHdh6Z3vffS4v8LGbXeE72+1/ZLutLxZJ06bOrjZoFdWFc9YKSdLnf33lUiwRBAAAAIAMV2ozWMF6/wncxji7zh+yjd11Ofvws8J/7qULYnLH1bV7wWRfQLOFksobMViS1OfpcS5XJcuO2fc+v73LMXOVfqYu/dbFw15NvD/Plewdl5bym1sMvH+4T5qYYItwwg1Rs10IzcXPPpnqEpw3xkxy8f0HbpQkVWQPn6R56PtHXNzn7hdjbt/3TN/YqX/H+0qlpvLgkl0udfG0W/6QJB3a2M82HdHIrpIq0f5iOX7eoU7NagUciFSrVbGOJKlOreout1wrUlVODGawAAAAACAkDLAAAAAAICSltkQwb9BdLn5zyaqY23f/+H/hPt8PY138UuceMbfXzbF/dVN3h1CftzwZftkDkqRFm/yFvHtVryRJyun9XCpKQhE9OHGo/2bp+pjb6++7oySpcfUmpVUSCrEhz5+nPfqeZ4N4DS2icif2OMbFO1RrnMzyypVRc9938fofFic8rslhLV1843H24vlODQ9yuZa12sbcZ9rSyf55/vxMkvTN336/s4//77PYJ4osu188wR+378Cu9vGueTthfSiZKUvsUsw+vV7wySy/HrfWPg0lSaPOGliqdZVHTx7SL5THWZ8X2Vcud3MojwcwgwUAAAAAIUlJm/Zk2vyL/WTppaP8bunfrdogSWpbzV/su98bjwhbp3Gl/H/PdS738xrbtjb3Nt+KNqffy6VZForg3YEf+m+yY/tHH91hT0lSw2rMYKWLkXP8rMmaaYtsYGIbWjQ7oo1L9e14ZWmUVr4V0H791A5RbaK3P0CStHT9Un9ALftlwiLfKOiZqe+6ePSX30uSVk2JatQU5/kOuexQSdKYD33zmlk/zS6schSDm+GQ1KF7NxtEzVrV2a+Ri2fd8Y4kqXqFmqVSG7be+IWR1+A/sSs6kJ7yZ5KXT5uf4kriYwYLAAAAAELCAAsAAAAAQpKxSwSDXL+D+qYbz3HxW29MkeSXBUp+aWD3kU+5XPY+Rye7xDKv/cd26d8re/pd1TcE9gLRia9953L7V7U7p5u9/W7a2cdd5OLcB662t598rr+9td8/JF+wxu5vkPforUWqL+fOZ4p0XLkUZy+6g7p1dPFzRzxcmtWgAKs3/StJuvS5qAvm809f9HmMLFf6uPsTLsUSz9R67L7XfFzlDRvkRp2zbavYr4v98jNtirrIvoDlh6rmf30/fvg1kqSsw/1npovXJW6+gaLbmGffSxz1anefXJ8nyTezkKSB5/vbWRqYedrViyznrVkhtYWgQHmbfVO1wT9GGvhsiG1MckKz1L/HZwYLAAAAAEJSajNY2Zff7eJTHh8lSXpnyWqXe3l/OwtSKeqi0TOGRFq719025vEWXOPbvveLc4Hb3jUqufiCEXbmilmrcJkdW0uSHjy0ucvd8sVvkqRXFq90uVceGCFJalnlY5drX+NRF78cOfaQJ3zjhcaV/PnLt2az/dQwus3/9hXtf+HKWbEf9d5yZ1H/JuXH89Mj7fOj/70iTS7+d0KfFFSEwlw/1p6XtfmNLSQ/sxF1Hvc7yzZRYNYq+bavup3/plK2/bohr+A7rY9z+/w1xX/y+nbW66uH/Qx9vHbvzWu1icmhaKIbWhz7um0U8+3rE2OOG9Ttchef2uyM5BeGpJm3Zq4NCnsdY6vlz0LNXfOny9WoUEOSVK/ydgmPl6QbvvTv/Qf3t81komf6j7j0MEnxfyaWNmawAAAAACAkDLAAAAAAICSltkTQVPUXfVbJih3XfRvVlCLfV6fcXuznaVzZ/pXylwVKLA1MFlO5miSp+uXnudwDuUMkST/MXOZy//vHLgGctW6jy0XH+b5YGXWht9bF3H7LLtvb52hTz+VqPmeXvGVFliuiYM9+9VmqS0ARPD7tcRcPfTSy/1WchhbbtvfLAYedyhLP0tKunm/Y8/1g28hir3NPT94T5jfDkPT3M59IkupWqp+85yun/lptlyzt97DfR3PF5L9tUMvvozntaXvO02EZEsKxe929bVC3cmoLKQfW5NrLg3bp2tknt6sqSRrW646oVANJ0iX/8/vW/v7pjNgH3KmGC1/v3D/MUrcKM1gAAAAAEJKUtGlv/81ISVK9o091ueFz7IzHwo1Fu8CwYtTF3Q/3PM7F2Tc+JGnLGTMkV3Zn/2lf7Uh80KLZLnfgpE9CeZ6sI7pKkkyVGoUcCWS281v7rSfm37FUkvTEix+43MPX2NfZVbtfVbqFIUabOrtLktaN/CXFlaAk1uWudXG3EfdJipq1klR//8aSpA969HM5Zq6AkC20r8Ozrroj9rboXWUa+Nn8Gy872X7dy/8erJpTLSnllQQzWAAAAAAQEgZYAAAAABCSlCwRzGrQVJLUaur3Lnf76CGSpN9ue8Llnvj1H0nSA0e3dLmqXY6xQY7fbTv7zOuSVClKKv8cS5JOuDRldQCZqE4l38jlwQPv3eIrgK2Xv9dV5zevdrmv37F7Xe18hN9D7Msrn5e05WsSZdeOrRqmuoQyr2K23ee0RrvtXW7VlAUJj7+kp7+c6LLdfTOh3erulYTqwsMMFgAAAACEJCUzWPFkH9tNktQq8lWSnop/KIASmnSZbS+sy1JbBwCUto15fjuYY1+/UpL0zZhpLrfnUbZhyYSL/1e6hSFtzOo5ItUllHmVs22jisX3jUltIUnGDBYAAAAAhIQBFgAAAACEJG2WCAIAAIQtd3OuJOmIV33DpW8/nCJJ+vGZN1yuec3WpVsYgDKLGSwAAAAACAkzWAAAoMzq+OL5kqQFC5a63JKXvpYkVatQIyU1ASjbmMECAAAAgJAwwAIAAACAkJggCIp+sDH/SJqTvHIyWpMgCOqnuoj/4pwViHOWeThnmYdzlnnS8pxJnLcCcM4yU1qeN85ZgYp0zoo1wAIAAAAAJMYSQQAAAAAICQMsAAAAAAgJAywAAAAACAkDLAAAAAAICQMsAAAAAAgJAywAAAAACAkDLAAAAAAICQMsAAAAAAgJAywAAAAACAkDLAAAAAAICQMsAAAAAAgJAywAAAAACAkDLAAAAAAICQMsAAAAAAgJAywAAAAACAkDLAAAAAAICQMsAAAAAAgJAywAAAAACEnGDbCMMVcZYyYbYzYYY4akuh4Uzhiz+j9/8owxT6a6LhTOGNPVGDPDGLPGGPO7MaZjqmtCYsaYocaYBcaYf40xs4wxl6S6JiTG77PMZIypa4x5J/JzcY4x5uxU14TEjDGVjDGDI+dqlTFmqjHm2FTXhYJl+nvHnFQXUALzJd0n6WhJVVJcC4ogCILq+bExprqkhZLeSF1FKApjzJGSHpR0pqRJkrZPbUUogn6SLg6CYIMxprWkMcaYKUEQfJfqwhAXv88y01OSNkpqIGlPSSONMdOCIPg5tWUhgRxJf0nqJGmupOMkDTfG7BYEwexUFobEMv29Y8YNsIIgeFuSjDH7SGqU4nJQfF0kLZb0ZaoLQaHukXRvEATfRL7/O5XFoHD/eYMXRP7sLIkBVhri91nmMcZUk/09tmsQBKslfWWMeV/SeZJuTWlxiCsIgjWSekelRhhj/pS0t6TZqagJxZZx7x0zbokgMt4Fkl4OgiBIdSFIzBiTLWkfSfWNMb8ZY+YZYwYaY/iUPc0ZYwYZY9ZKmilpgaRRKS4JKEtaSsoNgmBWVG6apLYpqgfFZIxpIHsemXHMHBn33pEBFkqNMaaJ7BT9S6muBYVqIKmCpNMkdZRdBtNOUq9UFoXCBUFwpaQasuftbUkbUlsRUKZUl/Tvf3IrZV9zSHPGmAqSXpX0UhAEM1NdDwqXqe8dGWChNJ0n6asgCP5MdSEo1LrI1yeDIFgQBMESSY/Krl1HmguCIC8Igq9kl51dkep6gDJktaSa/8nVlLQqBbWgGIwxWZJekb1+7qoUl4Oiy8j3jgywUJrOV4Z9AlFeBUGwXNI82Wt4XDpF5aDkcmSvwQIQjlmScowxLaJye4jlZmnNGGMkDZZdndElCIJNKS4JRZeR7x0zboBljMkxxlSWlC0p2xhT2RiTcc06yhtjTAdJDZVBHWCgFyVdbYzZ1hhTR9L1kkakuCYkEDlPXY0x1Y0x2caYoyWdJemzVNeG+Ph9lnkiDRPelnSvMaaaMeZASSfJzowgfT0tqY2kE4IgWFfYwUgPmfzeMeMGWLLXgKyT7dZzbiTmupD0d4Gkt4MgYBlF5ugj6VvZT2xnSJoiqW9KK0JBAtnlgPMkLZfUX9J1QRC8n9KqUBB+n2WmK2Xb6i+WNEzSFbRoT1+Ra3i6y15LvDBqX6VzUlwaCpex7x1NBjXkAAAAAIC0lokzWAAAAACQlhhgAQAAAEBIGGABAAAAQEgYYAEAAABASBhgAQAAAEBIirXfRr169YImTRsnq5aM9v13U5YEQVA/1XX8F+csMc5Z5uGcZR7OWeZJ13Mmcd4SmTN7rpYsWWJSXUc8nLPE0vW1Vq/eNkHTxpyzeL6bMrVI56xYA6wmTRtr/MSvSl5VGVYlp9qcVNcQD+csMc5Z5uGcZR7OWeZJ13Mmcd4SOXD/g1JdQkKcs8TS9bXWtHFjTf5qTKrLSEumWu0inTOWCAIAAABASBhgAQAAAEBIGGABAAAAQEgYYAEAAABASBhgAQAAAEBIGGABAAAAQEiK1aYdQPmydP1iF1/52X0ufn/4WEnSJw8+7nIdGhwsScoyfG4DAADKL94JAQAAAEBImMECEGNzsFmS1OWtni43cejXMccdeeFlLl72wVRJUpWcqkmuDigfVmxYKkna/qyOPrk2V5J04IU+9+mZg0u1LgBAwZjBAgAAAICQMMACAAAAgJCUuSWCo+a+L0nqctlNLjdowC2SpG6tLnI5Y0zpFgakuY2bN7r4qGF26V+8ZYGSlNO2niQp988VLjfox2ckSTe2uyFZJQJl3p+rfnXxrr3Ps8GGPH9Atv3dxe+w9LI+b52Lc0wF+zWrzL3FSlsrNy5z8bLI0tpkqJZTTZK0bZUdkvYcZVGw0b8+lN8IK9e/58h72L5nnzJkvMvtNdC+l8g68pyo+/qfeyanYhIqDQ8zWAAAAAAQkjL38cplQ560QZYf5V55w0OSpJPfOcnl6lSqV6p1Aekqd7O9aP7o17q7nJu52raKy13X/WQX921/tyRp10d9bmPepmSWWeYsWPuXJOmbRd+43J719pQkzVk12+WWb7CzhOPnTXO5p+4fXvInDqJikzj3fwNuc6njmxwvSdqm8rYlf14UydnD73bx5pnLU1gJom3M2+DirxeNkyS99NOHLvfagBEubn5UG0nSi+fc4nL71G+f7BLLjUs+8SuUNm22DZk+m/ijyy39Zm7ynrxZDUnStL4vuVTLWm2T93xpLoj8+0vS5ncG2dzihS63YdxkSdI7Y35zucN23sbetsHf96Hp/j75Xjjd/izsUu9hl+vYeRcX5y5bI0mq3MO/d8na/zhJkqlQqbh/ldAxgwUAAAAAIWGABQAAAAAhKXNLBJG+gsCvQ9qweb2LP/lrtCTp2amfuNynz3wmSep4cSeX67HvMZKkk5p2SWqd5cGmqIYW9016QJL0zSvjY4678IJjXNyvwz0xtx++t18ace2eV4VZYpmUv7+YJA2daZf53dXrWZerEGkesumvlf5O/8ZZerk1DQ7i3TVOrvv1D7j42QH2gPNadiv58yIcLWtLkm4/8IwUF1J2bcjzv58mLPpSknTlsCdd7s/Pfynw/r99MkOS1PG7y13uiC4dJEm3tz/L5Xaps6skqVbFultZcdn10swXXHz57f1tsD4vwdGl4I9VkqQ9rujqUuv+92Oio8u8vMf9XplX93q9SPcZP2V+sZ7jzSWrXPzWkEmxB7x/jQuvbNxbktT2Y19L1o6ti/V8YWEGCwAAAABCUiZmsOau/sPFS+cuiT2guv1rGsN4Mhl+WPadix/59tWEx63d5D+JH/HURwU/aOQT9S9fGOtS30yaLkmaf/+RLle9Qs3ilIqIV3552cUP9R5qg6hZjDOu6yxJGnTYgwU+zpOH9Au9trJsfd5aF0fPXOXb9HOcn19bo2YFFzbeeydJ0twvZhX7YS67zp7n80Z1C6UslFyj7ews56ENj0pxJWVDdPOK8Qvt75serw10ucJmqwq0zM+Effrc51t8lSQ1sQ0Tbjyvs0td2NbOcDWtvrPLZZfjdu/3vP2G/ybezFXlbElS1Va+cdnaeXYFQNVGtYr9fGtn/uO/iWrC4ETeT/bteVHsbeXQVb1ec7GJuzyidA2aa9v1P3LXzS5X9cUPUlILIw4AAAAACAkDLAAAAAAISZmYd37s+8H+m/lrY25/9j47VVibC0lLbOVGux/Lbyv9com7x9t9ID57d4I/cFHsv78Tb/8dSapop/grtPTnZ9Mcu/ePVvllGTh0YAAAIABJREFUhZt+slP3a3NXuxxLBItn+Qa7BK3HnY/5ZORcnHz1sS71wpEPlWZZ5UalbL+vWM+77O70j7wx2uXylkZ2u1+8Tv/VoENTF4/u8XDM7dd9Zpc1DTjcNxupkOWXCNav0kCSNP+SeTH33euOqOUus1fF3I7kGjB1gIunfjk99oCo/ei+uOqp0iipTMrf80+Svlxgl+pdEdW8Yk4Jls/GUzHSrCZ/Oack/THD7nun+Wv8gXPsa+2R+4a51COy8eW3nOZzHftIkrK4zCHGdTedLmnLJkynfmB/Br59wsC494ln0mK792On631jEm3YEHPczu1bSJJu2PP6YteKwp1V37+nqxjZz3bIohXFfpw53/nfc222vqwS4dUKAAAAACEpEzNYf/27MjZZx+/i3Lh6o1Kspux4bvr/ufiaQc/Z4Pd/i/04+TMj1Sr4T9O7tPLt12tVtJ9Y7FP/AJfb9RHbiv2vqE8UGx3SInI8M5El1e3Du2ywJqr1dw17Xp46vJdLleeLqpMp22S7+J4D7triqyRNWWJb0L4xa6TLDR/3rSTpps4nuFybOrvHPPZHp8U2zYgn3uvHVPZ1BTG3IlnyIjMqkxfM9sl/YmcvVcmfn0bVmia1prIoL7DNES782F/4/uaTo0J9jr1O39fFo855QtKWr7X5a+ZKku4Y/7jLvTbMbkcSb8b6mQffdPFu9W2DmovaXBJewRni1I57u/i7pttJkk7ZtZ3L9ditR8x9Xjv+0YSPt3LjMhe/P/t9F192W2TVxrqCW8AfvEerggsuZw6p5WfXx660TV3qVfBzN3dfeYgkybRo4e/Udq+Ej5e11xEuNjkVJUn7TvKv1WDUO/72lrb9+lWX+hUA+Ub87We9Wv1t30dmNWyZ+C+SBMxgAQAAAEBIGGABAAAAQEgydh1Q9E7r47+NvSi4wwl+ur7TDkfE3I7C/bkiarftOEsDa+9nl17WqlHN5fbdtbkk6Yo9T3a5/RscJGnL5VHx/P6vb6DxV5yLjY/Y1+56Xym7cmGlI8qEReNc/PHzkT1YotaBfT3oRUlS3Ur1S7MsxNGu3n5bfJWki3adKUlqXL3ZVj32qo12ycSi9QtdbtDUVyRJwZ8FL/3NalNnq54b3vpc3wjotq/7SpLeGjg60eEIQaPedu/EFZP/LvFj9Lj1dBdfucf5Mbc3q1nw8qMdqjWWJL141CMud9ke9mfzYbdc4w+Ms0S0x+NPS5Iueqb8LRHs3/G+Yt+nYpZdWpa/NFSSnvrRNod58B2/LHDZxL8KfqBs22ThxMv9nnMDOt1b7HrKsjN//tLFpy+aI0kylau6XFbT3bb6ObL3O85/ExUHm2wTkv4jP3W5m979SZL0x3rf0GbtjVdLkqq/Vsj+qyFjBgsAAAAAQpKxM1hTl0528YpvYz+ValaPRghbq/cBd7j4rFdPirm9RU17gWHlnKoxt5XErBVxWuQ29LNjfTrQFrUkVmyIagKTG9mZfhs/C9isZgshfa3eZFs5B8HmIh0/c8WPLn7i+6EuHjfNzhD//smMYtfwv6tvLvwgFMmERV+5OLqRQUEOPmLvwg9CQvnvEVof7z9Nr1WruiRp4rAJce+Tb58z7Gzy3Qf410CNCrVCqat9g4MlSc/c6mewLr/xwdgD/1odm0Oh8metJOmWW4u2vUHFXX1r/bvPtq3yacmemKmznYuzo+JSee4Ktpld5V6+UZTePSPmuG8n2JnKQ9b6lRqmavK3+GEGCwAAAABCwgALAAAAAEKScUsE8y8QnrxoWvwDGtie/P0Ouqm0Siqz8i8UlaTd6ibetyAsD457Kyb37t19XFyvculOP5cVExdMjcnterDf23zhWrt8ZvcHzyzyY/Y54yxJ0kk7+WYmtSrSCCEsM5b/4OK8zfZC7e3uONLl1q9YG3MfZ3XUHmfLNhT7uavu0UCS9Mvdb7hcTc5tSn1w6sBUl5DRFr07UZJ085f3u9zLzybeB6vVsbu6eMx5tglQMvcGPLvluS7u0druOZk3c1miw1GI3hPt+4YHHxxW8IFVfOOtdsfbvbXeP9s3IeE9R9mwNDfS8CJ3Y6k+LzNYAAAAABCSjJvBmrnyZ0nSTS+87JMN/E7S111qmzHUq9ygVOtCyV079nZJ0sQPfOMS7WgvQN6zXrt4d0ExNKm1Q0zup5mzXbxnj7NtsGx9zHGJdP+6n/2a4y/IbnywbZZx+wmnuNwFrS8qTqnl3pj5n0iSjr0lagZ+adHPS0lFX9j9Qy/bup2foSgrpi+3jV9efmqET27IiznuwPPtliKvnuhbcSdz5irfmPm+zXTerOUxtzc5tOAW8OVN/pYTkrRkwz+SpLOH3+1yU9+fYoNNUY2BakdW5NT0K3P6Xu5nDmlkUXa1b2pXYJia9Qo5MlzMYAEAAABASBhgAQAAAEBIMm6JYLdhD9jgFz9FvMUSwXaXlXJFKIkNeX7Z0wfjI9P5NSq43A8P2/17GlRpWKp1lUUDPh4Zm5wZuwwl2m6n2KYmNWpWi3v71y9H9vLJ9Usw5n5u91m6a/1rLtfpOrvPS9MazYtcb3k2dt4kG5TCssBov97jG1psWyV2SSm23tL1iyVJF7/0WJHv8+TDdqlojsm4X9Vp5dALLrZBlom9Mdvn+h56oaTS+72zYK3dn+fEe3v5ZF4Qc9zpB+1TKvWku68XjpUkHX5Zd5/Mjf33cqL2e5ww4HlJ0p7b7JuU2lD6go2R35Or/V6fgWL/PzQ4xl5qEmz271dMVvLnl5jBAgAAAICQMMACAAAAgJBkxLqDtbmrXdyuZVNJ0i+jfvIHVPDjxCzGjGkrellg7bP29jessvv2dLnmOJdqUWuXUqurrLvnhLNdfNbo22Nu36OLPRdDT7/L5ZrVbCVJyjLxX0/rTrP7MI2Y857LnX+z3Xtk8dezXa7Ngq72+EFRHSKR0KVtz5MkdXjWd8+874vXJUmT3vP/hud0P1aSdGabw1xuY559HZ12Y+w53kIQtYRine2kdvtXj7rU80f2L0HliGdjnt+HbKc7bXfNTdOXFHif/GWBknRB6wskJX4doojylwZGrxDMsf+mN93W1aX23/agpJeSuznXxT3HRV53f6/xB0RqbH6k36uw9353JL2udDV67gcuPvXWyM+2gpYFSlJj24V47L1PulTYSwM3B3652aTF4yVJd43z3a2Hn2gvZ6ldaZtQn7c8Cdbb9/6b33raJ6N+Fo7s+awkafRyvy+kUewy4KsfsJdJ9B3b0eUq1a8hSar6nN8rzVQPd79HfmoDAAAAQEgyYgbrx2VTXfzGR1/boJG/+P72S05zcf0q25daXSie3M2b/Df/+rjaXna39KHHDijtksqFStmVCrx91HlPSJLqVqpf5MesklNVknT6zme53PlV7N5YWuc/odXKjZEvy1yqVsW6RX6e8maHao23+CpJR54Xmdk9r2iPse7Nkwq8fd6a2S5ucfrRkqThH09wud4d7O2NqjUt2hMioVrX+09M9fvKxAfW9q/R3er5mYsKWRXjHY0QVGptZxb6HHB3IUeGI//336Wf3upybz45KuHxz5/tZzJLYy+udDNpsX2vd+pdd/rkio2xB0b2tzr+7E4u1edA2+ysTZ3dYw7Pi5pB3LB5Q8ztFaNecxs32+f7/O9PXK7/V+9Kkjbn+Rmsb1+bGPM4e/5iV47M7vVRbM1IKO91/z7wi57/J0l6c8kql4s3Q1VUd0yYG5M7aXx7Fx8zd2aJHzseZrAAAAAAICQMsAAAAAAgJGk977wm0tyiyzP3uFzeDLvUqN1pfl+Iq/e8vHQLQ7HkN7do0+9Un4zae2RI9xtKuyQUco1wYfIC2xyhw/Pn+uTy2OUW+bmpS753qU47HLF1T46tUr/ydi4++CK7rGbcC2Ndbrc+di3iwr5+WUylbL+fDAo3d/UfNlgZ5zURrYm90PqtW32DmdJotABpw0a7ZG9trm8wUTUn/r5/JbVyo99v8JDnLpUkzRz1Y4H3GfDQ9ZKkvertF2otmebmj+zyMC1eV+BxEwcOkSTtXnfvmNtGzX3fxTOW/iZJGjPnV5f79NnPY+6z/zl+ydjEVyfE3F5U9erVKvF9y6O8Vx+WJN1+xUCX+zdqGWayvLfUv/6PCfmxmcECAAAAgJCk3QxWdEv2h7+zO94v/cZfmNb6+N0kSW91fcDlanPRfFq7fqy9iPifr+e4XH5jC0nq3OTkUq+pPNmhWlTjl4rZ9uvGPJc64X/2E9PR5/hPjmpWrB3zOCuiGlUc9nx3SdKMD6YV+NwdLzxYErNW6SS62cyihUtjbl//w2JJW7YhRuF+WjbFxR36XWWDJetjD9zZf7I99LobJUnHNT4xqbWVd+3PO1CSNGHoeJ+ctUKS1GnwRS415uLBkqRqOdW36vmen/6cJGnARyNd7vdPZ8QeuG0VSdKJpx3sUhe2vlASDU4m5c8eZRXc1GD/3ldIkipVif332jB7hf9m1aaY2+Mp8qxV1CqcnQ9rLUlqupP/XftG50eK9jiQJL3V075mSmPWKtpdezVM2mMzgwUAAAAAIWGABQAAAAAhSbslgtOW+ovhn3w3cpF11J5XI7rZadftq+5YqnWheOas/t3FLw4aYYOq/r/b9DtfK+2Syq09tvENYQb3v12SdPEt/Vzu++GTJEkNJhzmctdc0FmSNGa6vyD4h4lRe0T87S8MdSLLDy+53i/5fODA27ei8rJjXa7daX7phsUxt0Xvu7JtlR2SXsvPy/1F9r+M+inpz1fWfb/E7oFz/JO3udym6UsSHr9Xu5Yu7tLszOQVBmfYyX0kSc0md3G5zTNtA4qf3vf7bDabd4IkaZvaNVzu7pPsOWpY3S8lGvnHF5KkUZP9aym/aYYkzZm9wAZ/+v17nMiyQEm68TL7s/K+9r2L/pcpJzpfZffoGzEkqhFF/tL23KguTb/Z/eUKaSdTdFWyfWxilyfWbttAkvTMhT1c7qSmXWKOQ+Fyn+7l4imrwzmDzSrb95k3PHmVTza3ewsGo95xKXPcKfZr07ahPG88zGABAAAAQEjSbgbrjs+HuHjttEU2aO4vCqZdcGZofcPp/ps19pO9oy73jQ5K45N6xDq7hW3Bfdxrx7vcoc/ZXe9nTv7N5Z64r2gzjDX29ufx6YvsxcZ8Kh/rw7/sxe5n9+gVe2N9/zPtmstOkiTdud9NLle9Qs0SP++rs1528Q//2PP7xCsjEx0uyW+BkZOVdr8e0tL/ZnwgSVox+e+CD4w0t3js+CuTXRL+o0EVO/s0+Ar/qfYlTz8lScqb6Zv3/Pv9fPs16r7dPr+3aE8SvfVFvL4M9e3M1RcPPOlSBzToWLTHLofe6Bz5d+rsc/lt19+Y6beVeO39SPxHnNnCKI06NZckHdSudYHHPXWY3xao6lY2O0F8wfKFkqThfV53uRW5JW9ucVSdqi4+aaL9eZzVsGXsgfsdV+LnKAlmsAAAAAAgJAywAAAAACAkabMG5OuFdpp31q9/uVyd/RpJkv7o9YHLVc6pKqSvp360yy60yO++3umSQyRJQ44p4lILJF303nFTerwpacvlZPe+94Ykae7nv8S9f+ce9gLkgYff6nL5y3AQq+fwIYlv/MfvlfREX7tk4omdR7ucqZD4c7AJdzzl4iCyRqlDX78MKpjr9xXU2tyEj3PgBQe5eMRpdj+08r4PTyiq+V+xU+99QZLUqvauqaqm3Ova/FwXH3yv3XvqjDd8I57v3vg2lOdpdLBdjnb0fru5XJ8OdtlvnUr1QnmO8ih/v7jofeMe6mgbiqzNW1vgfetG/t1rVKhV4HFIvs3f2gZ2X66Ms09gMTSqZBuSnPiKf28Zd2lgijCDBQAAAAAhSekM1vINvpXt4d0vt0HUBd8/PWovtGfWKr19s+hLF990l/3027VTlXRZO9vcgk/u0ts5Lc/38c2R+OYUFVPGPHRGN0nS2WPjNLmI53d/mX1QwGEHnHdO8Ytp4i/cfuJq2+DkvFb+3FfOrhJzF5TMz8/7tsDNaqbPJ6uQdqjWWJI09vwhLrf2bDvj++zPL7jcjCXzi/R4j3byr+3811DF7EpbWyYKUb/K9qkuAaWoXtSKjlu621no7EPTs7EWM1gAAAAAEBIGWAAAAAAQkpQuEdwcRPW932Tj13r5afada7Yq7ZJQApcOe8R/s94uDezXz+/1cvJOp5V2SUBaOaGJ3TV+4buHu9xRL/WIOW7W7/MkSet/WFzs52jQoan92qBugce9cVZfFzeu3qzYz4Mt9e943xZfkVmyo/Z7q1GxtiTpxnY3pKocoMzLOvwsSdJDRw/xSWM3j+v/md+Pc/Em+37y6aW/xBwnSaZSel8+xAwWAAAAAIQkpTNY21Te1sXrRsVvB430t3RF7A7qF+3SzcVZhnE8yrecyKfktaLa40+8dFjMcXNX/yFJmrJkSrGf4+DtO0mimQwAIH2ZbPv7sMbbn8Xcdk9pF5NEvPMFAAAAgJAwwAIAAACAkKR0iSAAwMtvOkHzCQAAMhczWAAAAAAQEmawsNXm9469UBEAAAAoj5jBAgAAAICQMMACAAAAgJCYIAiKfrAx/0iak7xyMlqTIAjqp7qI/+KcFYhzlnk4Z5mHc5Z50vKcSZy3AnDOMlNanjfOWYGKdM6KNcACAAAAACTGEkEAAAAACAkDLAAAAAAICQMsAAAAAAgJAywAAAAACAkDLAAAAAAICQMsAAAAAAgJAywAAAAACAkDLAAAAAAICQMsAAAAAAgJAywAAAAACAkDLAAAAAAICQMsAAAAAAgJAywAAAAACAkDLAAAAAAICQMsAAAAAAgJAywAAAAACAkDLAAAAAAICQMsAAAAAAgJAywAAAAACEnGDbCMMXWNMe8YY9YYY+YYY85OdU1IzBhTyRgzOHKuVhljphpjjk11XSiYMeYqY8xkY8wGY8yQVNeDojPGtDDGrDfGDE11LSicMWZM5Hytjvz5JdU1oWDGmKHGmAXGmH+NMbOMMZekuiYUzBjT1Bgzyhiz3Biz0Bgz0BiTk+q6UDBjTFdjzIzIe/7fjTEdU11TUWXcAEvSU5I2Smog6RxJTxtj2qa2JBQgR9JfkjpJqiWpl6ThxpimKawJhZsv6T5JL6S6EBTbU5K+TXURKJargiCoHvnTKtXFoFD9JDUNgqCmpBMl3WeM2TvFNaFggyQtlrS9pD1l35NcmdKKUCBjzJGSHpR0oaQakg6W9EdKiyqGjBpgGWOqSeoi6c4gCFYHQfCVpPclnZfaypBIEARrgiDoHQTB7CAINgdBMELSn5L4ZZTGgiB4OwiCdyUtTXUtKDpjTFdJKyR9lupagLIqCIKfgyDYkP9t5M/OKSwJhdtJ0vAgCNYHQbBQ0oeS+HA+vd0j6d4gCL6JvH/8OwiCv1NdVFFl1ABLUktJuUEQzIrKTRMvkoxhjGkgex5/TnUtQFlijKkp6V5JN6S6FhRbP2PMEmPMeGPMIakuBoUzxgwyxqyVNFPSAkmjUlwSCjZAUldjTFVjTENJx8oOspCGjDHZkvaRVN8Y85sxZl5kWWeVVNdWVJk2wKou6d//5FbKTh0izRljKkh6VdJLQRDMTHU9QBnTR9LgIAjmpboQFMstkppJaijpWUkfGGOYDUlzQRBcKfveo6OktyVtKPgeSLFxsh/G/ytpnqTJkt5NaUUoSANJFSSdJvsa21NSO9nLTDJCpg2wVkuq+Z9cTUmrUlALisEYkyXpFdnr565KcTlAmWKM2VPSEZIeS3UtKJ4gCCYGQbAqCIINQRC8JGm8pONSXRcKFwRBXuRShUaSrkh1PYgv8v7jQ9mBcDVJ9STVkb2+B+lpXeTrk0EQLAiCYImkR5VBPxszbYA1S1KOMaZFVG4PsdwsrRljjKTBsp9IdAmCYFOKSwLKmkMkNZU01xizUNJNkroYY75PZVEokUCSSXURKJYccQ1WOqsrqbGkgZEPMpZKelEZ9Ga9vAmCYLnsTGMQnU5ROSWSUQOsIAjWyH4Cca8xppox5kBJJ8nOjCB9PS2pjaQTgiBYV9jBSD1jTI4xprKkbEnZxpjKtLRNa8/KvsHbM/LnGUkjJR2dyqJQMGNMbWPM0fmvL2PMObKdsrg2JE0ZY7aNtI6ubozJNsYcLeks0VgmbUVmP/6UdEXkdVZb0gWSfkhtZSjEi5Kujrzm6ki6XtKIFNdUZBk1wIq4UlIV2XabwyRdEQQBM1hpyhjTRFJ32Td9C6P2ejknxaWhYL1kp+hvlXRuJM6Ytc/lTRAEa4MgWJj/R3Y59fogCP5JdW0oUAXZ7RD+kbRE0tWSTv5PIyekl0B2OeA8Scsl9Zd0XRAE76e0KhTmVEnHyL7WfpO0SfYNO9JXH9ktR2ZJmiFpiqS+Ka2oGEwQZNSMGwAAAACkrUycwQIAAACAtMQACwAAAABCwgALAAAAAELCAAsAAAAAQlKstsv16tULmjRtnKxaMtr3301ZEgRB/VTX8V+cs8Q4Z5mHc5Z50vecbRM0bcw5i+e7KVPT8pxJnLdEZs+dqyVLlqbl/mn8fEwsfX8+cs4SKeo5K9YAq0nTxho/8auSV1WGVcmpNifVNcTDOUuMc5Z5OGeZJ13PWdPGjTX5qzGpLiMtmWq10/KcSZy3RPY56JBUl5AQPx8TS9efj5yzxIp6zlgiCAAAAAAhYYAFAAAAACFhgAUAAAAAISnWNVhAYRas/UuS1OzGk33yz1X2a8vaLjX3wfdcXL/K9qVSGwAAAJBszGABAAAAQEgYYAEAAABASFgiiFDt/VA3G8xe5ZP5O3P8usKlGt/ulxC+2ONqSVLX5ucmuToAAABkiqlLv3Vx+3PO8Tdk2TeXOx7SwqVm9RxRanUVhhksAAAAAAhJRsxgrdq00sWHPH+pJGn6iGn+gM2Bj7MSb2T+4XNPubjTDkeEVyCccdcPlCR98fc4lztyx8MlSfd984zLvTrqSxdfeG0fSdJXN/3kcgMPfSCpdQJAGPKGPy5JuubC/i732MUHSJIq9H/Z5UzFKqVbGFDOLVr3t4sXrJ0vSbpt7PMuN+bZL/zBcd46nnLNcZKkW/c/z+V2r7t3yFUikZUbl0mS2l9zsU9Gv8ePhMYkft+fSsxgAQAAAEBIGGABAAAAQEjSbongqLnvx+Qe/uodF08f/YMNshNMCSbKSzrm8qtc/Plzz0qS2jc42OX+Wv2nJOnHZT+63GGRpYSVc6oWUjkkqXmtNlt8jfb8kX4JzT0d5ri4xZ1nSJIGP/quyx2/84GSpGMbn5CUOlE0A6YOcPHD7/mLR6ff9oYkqVbFOqVeE0rfps0bJUl3fdPX5b769Q9J0uRxfmnvusFTSrewFMl7e5CL7+/+mCQpJ2qZys0vTJQk9a94kctV6D+slKoDyp/NwWYXH/HaJZKkCSMm+wOWrY+9UyEry955YpT9mjXa5a67o6skqW/7u10uyzBXEZb1eetcfP7oXjZYsSHusdt12EmStHubpskuq0T4XwEAAAAAIUmbGaz/+9k2QLiu52M+WcBs1NY6eaD99GFRH3+R47M/2QuS+9/vP2k8o4e9yPGlox9NWi3lUcNqTVw8qZc99/uec6bLvfurbYLBDFZq3fbIi/6bqE8AF6ydJ4kZrLIsL8hzcee37ez/uMFj/AE7VpckDb/zztIsKy3Muf8FFy/ZtDnhcb2f+9rF91Sxs1k5fV5IdDiAEuo14R4XT3j5qyLdp/35B7m4WpVKkqTW9eq53A8LF0mSxo2c5HID+tj3h+f+7xSXa1tnzxJUjHgm/zPRxR8/+1nsAXUquXDaza9JkmpWrJ30ukqCGSwAAAAACAkDLAAAAAAISUqXCEZfQH/bYy8WcGTqDH/KXuTIEsHkqV6hRkxu6Ci7j9b/HV7a1SCaqV/ZxUG8i4RRZj0//TkXb7E0MOLtXnZJTnlcxrvTl35p+Qmt95MkfbB0Tcxxq/P8Ho13P2GXu9xT50aXy7nhkWSViDST987TkqTPrn3C5d5eukqS1LPNdi7XbPJkofgGvRe7nCx7l21cfPrRHSRJzx/5kMtlRc0xFLSXUu6pm1zc4Xm7J9b7v3/kcm33YYlgWC586eECb+928bEuTtelgfmYwQIAAACAkKRkBiu/ocUWs1bL47dhTOTj/3vaxc1qNivSfXa552wX/3wHLXPT2eZ/bVvoJesXuVy9yg1SVU651e8C/5q59fZBBRyJsiL/5/Otr7zqkzUqSJIOPaujSx3V6FiVV6aKn3U/7Mu3JUkf7HJ0gffJn836553xLrfdxf/Yx6tVP+wSUcqC5QtdnPe4bfzy+Qu+2cIHy1ZLknL9pKZMpE/4q78vcbny1zImCarZn1cL+vn26jW2YrYjJ6uCi7+8eIgk6c9Vv7rcH//OkiTNWTXb5d6a9bkkaeChD5T4ecuTkXPekyTNG/tbzG3Nj/Lb/jx92IOlVtPWYgYLAAAAAELCAAsAAAAAQlJqSwTX5a518ZdzZ9pgSZyL5jdHzZ/XtRfYP3nbVS51yS6XlriGlQ+NL/D2IIg8d9SFyUiReXY5xafzPnGprs3PTVU1QNq78xvbdOLzGX7pysPH+p+XHbbrlPC+n/3tL9i+7u4nbbDGX9g9bND9kqSTdzotlFrLElNvB0nSvYf4pep3jfkj4fEPTJnv4qsPPUaS1Pz775JUHcKyefEcF6+7/nJJUv9RM1xuY9R7l2W5ifdGi+eU7dP7Yv1Mc8U1J0vaumWBiazPWydJmrjwW5e7eajdQzUry89ZVKlUUZI08NDQSyiTLno+0vQuutdIZGn6oDOvLf2CQsAMFgAAAACEJOkzWPkzVzeM87tsv/X0hzbIjm2L2f7cA118atu9JG3drFVxuDadcepC8twy7onYZOQi1aY1mpRyNYh26y1P+W+y/OvCzfYibfR/8i0bRLXTH79HOxfHm8FaH/n53Pnq631yXa4k6alHe7rUiU1PDbNlQqKPAAAgAElEQVTUMsVUrSVJqjn8PZe7p4ttXd93/GyX2xhnUuPJWbbJxe2d2rtcg7ETklAliiPvVd8qev0I2/770Q9nutz8jXmhPM/Ole1bsLZTvwnl8cqz67v4pju71WsR6mPPXuUbL7Tre6Ekaf0034BLkfeO2x24k0u9eVnvUGso6/5dGbvNhbavJknquH1mTgMygwUAAAAAIWGABQAAAAAhSfoSwfx9jIYMeK+QI63Pz3ohmeUgTayPanry/U+/x9ze8uBWkqQDGnSMuQ2lKGpZYLvT9nFxi1q7pKIaRKzatFKSdPCzF/tkZO+4aMc2PazAxzn5vetsEFkWKEkdL7JLCQ9peLDLZRk+iytM/lJBSao9epwk6cBGrVzuixXrEt530h/LXHzcB8+5OKvjifaxa7MHYLJs/ssv/VvX074eeo2Y7nLrNxdtOXSrKn6vpJN22kaS9ND0hYkOlyRdd+1RkiRTsXLRikVCl7T1TbD2629/Lp50VxeXyzbZBd5/c2DX8A6Y9rjLPfCmfd+6auY//sBI85/WnXd3qRuO7CxJOq9ltxJUXn6Nnf+p/2bR2pjba9esVqTHWbVxhYsHTLX7dX726yyXG3POkJIVuJX4rQkAAAAAIUn6DNbJr9xSpOP69706yZXEN335NBc/O3JMSmoojy746FYXzxvza8ztvU84qzTLwX8sXb84Jjfla/+p7oIz/pIk7Vh9p5jjEK68wF5Q/+3ir13u0DuuscHfURcGN6ouSZr4oJ8BaVtnTxevzbVbH9z/bX+XG/vCWBvUrOhyr51oW7LXrVQ/hOrLt87XHefiL3q/lfC4D5f5T28/PauPi2/e/XlJUsMvvnA5U6lqmCWWW/kzV6/vf4LLjVsZZ+uYiL2r+9fISW3tjGKtXRu6XM41t7t46rEXJHycHk22cXH2zf0THofiqVPJ/7su+9vOCH+54HOXO2SHI2Pus2S9n2E8Zoj9mfrze1NjjstpW8/FD3WzM2WXRjVfy8mqEHMfFG7qPz/7b1bbmcHs1nX97be+UuD97/7mXknSQ0Pf98k/V8Uc99khdhuSwxseXdJSS4QZLAAAAAAICQMsAAAAAAhJ0pcITh8RWYIXZ2+p6GWB3dteluxS4pq9yu/O/u+0BSmpoazLb2gxNmq6/v03x8Ue2NxfJH5Yw8OTXhcS6/X1IzG5xq0aubhupXoxtyM5Zq74UZJ0aLeLCzzuz8ftMontqjaKe/u1Y+xehEP7RzUcqmQv/B792GMuxdLA8GRf95CLHz3ULhdc0fNul7t34rwC7//wD/Z30oBNG3ySJYKhCGZNkST9sMY3h7m2uf2/X6O6X/K17f52GXTOHf5notnGLg0M/l3qcnn9/b5xz81fHvN8V0UaX+wyaax/nCo1Sv4XwBaq5lR3cZdTbIOe6956xuXe7WbP428r/Z5WJ9wWdQnLkjhNaHauKUmadtcQl2pWs2UY5ULx99ncoYFf6tmgin2dTV36rctd+d4AF095c3KRnmf4TLuXHUsEAQAAACBDJX0GSwW0OG1eu4kvJEUXCQZBVH15sbVWbMsn9Vvro3mjJUldr7gt/gFV7X/DR7tf6FK1KtaNfyxSpmEjP7NRrQKfvCZDfqvgKz73TWBefjR2i4tGh7Swt3Xzn8Dmf9oX7emfBrl46CORx6nlL9b/aIBtSXzw9swYJ4PJ8b/Xsve2F9nX6vyRy203xTa+mLNhk79TnF+ZH7Q+wMUnzvsl5CrLp+zDbSOlvtN2dTkTaatvcirGvc9/5b3qZ36vfuTjmNsPruXbr+8ycYx97Kh2/kiOocfaWY4mfY5yuTZXn2aDOO3AJUlV7PuQvnf55hWXtr1IklSjAucsTPnNKaK3gVEkNMbnNubZmfvL33nU5aa9/X3MfQqTZYp4YMiYwQIAAACAkDDAAgAAAICQJH+JYP4UYJwmFx/89pWLO21/mCSpck7pXMC7LtJ4YcTvfm+ZeDVOv/t/pVJPWTNxsT+3Xe/pU8CRUstOrSVJV+x6ZVJrQsGWb1ji4iH935UknX/jSS73f4c/FHMfbL38fa4k6ZavbAOElyP//tF2O2UvF4+96AVJUpU4Py/zlxlK0sCPP4q5vVLT2i7ep/4BMffJMnzulkw51/u9j27Osv/W194+zN8eZznL/I25Ls77ZKgkKfvIc5NVYrmS1XS3Yt8nb6j9Wdjv9qFxb79mZ3tpQau3X3A5U6123GORPAfus4uL3/l6dsztx1zh98a6dp+TJcXfLwvhWrx2TeEHSbphnP19OO2d7+MfsL39/deugz/Pc+fZPTyXTpzrcrvWb1ySMrcav0kBAAAAICQMsAAAAAAgJMlfIliAwY/5ZTC37XeFJKlhTpNEh4dqyfpFkqQhA2I7dKF4NuStd/GkxRMkSUfddr0/IE7Xnvrt/Xke2/255BWHkomsUkpV953ypMPzfqnXD29/F3tApLvVNvV8J6sVG5dGbvJLBPM7Lt3+tV+S+8cnM/zjRM7l/116hUu9PPNlSdJ+2/nlh3vV27/YfweUTM61kWW3UUsE45mx1ncZfOMCu5/Z6cN8h7rsTqeFXxy2EKxa5uLRt9mlf/M3+uW9O1TMdnHLFx6QJGU1b1dK1SHay7+8KEkaO+mnAo9bu9G/rlgamB42bPD70k3+fU4BR0of97HdBaM7Dx55cXdJ0hGXHuZyPXbrEWaJRcYMFgAAAACEJKUzWNFOHmp3Qf+2++ul83yv3FL4QSjQqo0rJEknDL/O5Sa++nXsgZFP4LWd/7T9vSv7urh2pW3+e4+41kcak5RWIxSgNPww5mf/TX5ToOj9A9fZBgdjnvvCpZqNnCRJqly/ustt2Gg/+QtmLI//RJE9/7pdfY/P5djP2L584cUS1Y5wPPFuPxffcMrtBR474V87U3nar1H/b5jBSpr8masZHfxecSOX2Yv0O9et5nLHPOj3T8re5+hSqg5L19umBi/NfNXl7uj/Yv6NLrdNZNVMw+393qbjxk118eqT/pUkVa9QM2m1onCLJsz2sWbH3N78qDYuHv6L3Xvu+Tc/iTnuyGZtYnKljRksAAAAAAgJAywAAAAACEnSlwh++NxTkqRjLr+qwON+GjnNBt2TV0v7wWe7ePqIyPPF2fuqf9+rXdygyg7JKyjNbdzsLza8+otekqQV6/2U+/uvRpYsLd9Q4OM06bCzJGnytX4Kv3J2wcv81uetkySt3rTS5fZ66DxJ0jtX+Iv4947s4wNkqnWv/uDibxZ9KUlatsEv83tw7FuSpFWrfLOYWb/PkyStn7ao4Aff2S93adhoW0lS8xaNXO6m/U+VJO1Tv31JSkdITFvfWKRLvRoufmvJqoT3WfOuXzJa82y7TNtUrZXocJRQ3vP3S5Ke/MPvE5jf0OKY0c+7XPauB5VuYeXYB7PfdvEZPW6zQfSy6qb2NdTpFP/+4OmjbpYkbVOpvss1OPdAFw+ZYRv+XLV7we9VsfU2R5arb3HOsorWUOu3D6f7+OMZsQfUqSRJOrhh6n+nMYMFAAAAACFJ+gxWmzqRHZZ3irpw8LeV8Q+WVOOmDi6e3vvVhMdtX9V/CpuTVcHF6yKNEPLbsEu+oYWbtZKkvKiRc0TPO8+RlLqWjulmv0FnufiXkT+W+HHmfPaLJKn+Z/u43F5n7OfiVo22i7nPO59NlBT/E/pvTvGtrJnBQllyQIOOMbnjzjsxJjdvzWxJUovTjoq57Y57L3Tx9e38bHylLNvWOycrbXobISJrhxYuPuiTl1288Qjbwv+DpWti7nPXmD9cfE+XEyRJtUePS1aJ5UreWwNd3O/eN2Nuv+3BCyQxa1Xa/l5j23afcf0dPpk/CxLVROuL3gMkbfnzdOVGuyrg+GH+Z6JW+TbtUxfNDrlaJDKgU29J0oivvne5ZZP+Ktqdo2e68sPt/bn/vO/jkqQ9t9l3a0oMBTNYAAAAABASBlgAAAAAEJKkrxXZNtIk4q0be7lcl6t6Jjw+d8ZSF7c8+9iExz18n78QcadaO7p4xO92H6YhA96LvVOchhamVW0Xd2i4V8LnK49++eqXgg/In6qtWMg4fXPka9Su998Pn+TjohZU1y5xOrrxYYUciJI45c2b/DeRVRenteLfOh2d/dZdscnmtsFB9LLAajnVY49DWstqsbeL92pRV5I0eplfIpgbu7pdfcfPliTd3dXvv1T9tY+SU2AZlvf2IEnSfZf0j7nt+pbbujj7rGtLraby7vd//fuQXXvZRldanxdz3Df9fcORBlXsZQcnvHuFy306NvJOY2bUPoE7+H3MTm7Jcs/SUiWyl+kzF1zpcmf8EBkjxDm3iWzXYSdJ0ssX+X1t2zc4OIQKw8EMFgAAAACEpNSudt59m91d3PII2/hi1qfTEx1eqJt7+YtQt2hYEWeWKp78hhbRs1ZH79i5xPWURff07Obiu++3O6NfdvVJLndi806SpMMbFrxrff5O65d+cq/LjR70cZFq2Kerb1/84sm3S5Ka10r9Dt1lXuRlVNi5RfJtDuwUcM+v/KzVt6/ZJjCND2vlcpOvGyqJWauypO6n4yVJTeo3c7nf1+XGHLcxskpgyZ/LXI7/BUWTN/5dF9970UOSpMWb/KfoN7VuIEna+bvJpVsYJEmrNv3rv/l1RcLjDup3jYtzf16S8Lhou+3vf352bnJy8YvDVjmh6akuvuNWO1PZ94FX/AH5s1n1q7jU2/f6bXoOb2Tfn1TMqpjEKkuOGSwAAAAACAkDLAAAAAAISaktEWxUramLT9xvD0lS/61YIlgcl9xwiiSp885+126WAxau516+6UHP6AYIxbRNZXtx8NsnRC3rPKHED4eQjZ3/qSRp4ud+n7jzbzgp0eEoZW/8PkyS9NT9w11ux0NbSpK+v36Yy7E0ECi+33r4pev5SwPbVvV7aza9/oxSrwle4+pN/TctI03JZsUuFSx0WWALe987zjvFpW7a67qtLQ8h6bXvbZKkCrdnu1zvuwZLkh684SKXO7Zx5rx5ZAYLAAAAAEJSajNY0W7Z+3pJ0uXDurncLvecLUnaWMSLE6NVbFvPxdPv/l/M7dtUqi9JqpxTNeY2oLy75JXHbBDVH+beDrQhThcDxo60QZ1KLjf84rslMWtVXvT47EUX5w1+SpJ08+BvUlVOmZD3sb2YfuhsvzVMzWz7mfOVP3ziclnb71y6hWELdSPv3yTptettO+6uV9xW4H2ydrHbGwy69DKX69rCvseslF057BIRolv29ts43TIy8ZZOmYAZLAAAAAAICQMsAAAAAAhJSpYIVq9Qc4uvkrTyofGpKAVAvhp+L4kGVRqmsBBEe7GLXQ4zsNmrLrdL7d0THY4yKHv3Tj5+3MaPP56qajJXkLvRxY+eZfeVWxu1j+ZDz9mmBywLTE8nNe0iSVo3ukuKKwEKxwwWAAAAAIQkJTNYANLHr7eMTHUJKEDr2rtJkgYe+kCKKwEyU5CXK0mavud+Lpffkv2hwTe6XPYZNPcBEA5msAAAAAAgJAywAAAAACAkLBEEAABlVl6fKyRJA//0e14NWjhNkmRq1E1JTQDKNmawAAAAACAkzGABAIAyK6f3c5Kkp3untAwA5QgzWAAAAAAQEgZYAAAAABASEwRB4UflH2zMP5LmJK+cjNYkCIL6qS7ivzhnBeKcZR7OWebhnGWetDxnEuetAJyzzJSW541zVqAinbNiDbAAAAAAAImxRBAAAAAAQsIACwAAAABCwgALAAAAAELCAAsAAAAAQsIACwAAAABCwgALAAAAAELCAAsAAAAAQsIACwAAAABCwgALAAAAAELCAAsAAAAAQsIACwAAAABCwgALAAAAAELCAAsAAAAAQsIACwAAAABCwgALAAAAAELCAAsAAAAAQsIACwAAAABCwgALAAAAAELCAAsAAAAAQpJRAyxjzOr//MkzxjyZ6rpQNMaYFsaY9caYoamuBUXDOcs8xpiuxpgZxpg1xpjfjTEdU10TEjPGtDHGfG6MWWmM+c0Yc0qqa0LBOGeZiZ+NmcMYU8kYM9gYM8cYs8oYM9UYc2yq6yqOjBpgBUFQPf+PpO0krZP0RorLQtE9JenbVBeBYuGcZRBjzJGSHpR0oaQakg6W9EdKi0JCxpgcSe9JGiGprqTLJA01xrRMaWFIiHOWmfjZmHFyJP0lqZOkWpJ6SRpu/p+9O4+Xqf7/AP763MW+u3ZZsoTslCVEURGlhcqaUipSkkrW7JT0jUpKshQpIpHK9ssu+76HyHbtl8vdzu+Pz8znM5w7c2fcc+fMuff1fDx6eN/3OTPzzjFzz5nP+3w+QpSysaaAOOoC6xZPATgDYKXdhVDKhBDPArgIYKndtZB/eMwc6QMAQwzDWGcYRpJhGCcMwzhhd1HkVQUARQGMMwwj0TCMZQBWA+hob1nkA4+ZM/Gz0UEMw7hqGMZgwzCOuI7XrwD+AVDL7tr85eQLrM4AphmGYdhdCPkmhMgFYAiAt+yuhfzDY+Y8QohwALUBFHC1LR0XQkwQQmS1uzYKiABQ2e4iKCA8ZiGMn43OJ4QoBKA8gF121+IvR15gCSFKQg4bTrW7FvLLUACTDcM4bnch5DceM+cpBCASwNMAGgKoDqAGZGsFhaZ9kJ0YfYQQkUKIhyB/t2WztyzygcfMefjZ6GBCiEgA3wGYahjGXrvr8ZcjL7Agh+JXGYbxj92FkG9CiOoAmgIYZ3ct5B8eM8eKdf053jCMk4ZhRAP4GEALG2siHwzDiAfQGsCjAE4B6A1gNgB+sRGieMwciZ+NDiWECAMwHUAcgB42lxOQCLsLuE2dAIyyuwjyS2MApQAcE0IAQA4A4UKISoZh1LSxLvKuMXjMHMcwjAtCiOMAPNum2UId4gzD2A45AgIAEEKsAbszQhqPmbPws9GZhDwBmQw5AtnC9eWGYwin3cIkhKgP4E8AhQ3DuGJ3PeSbECIbgFweqbchT95fNQzjrC1FkU88Zs4lhBgCoDnkt+vxAH4BsMIwjAG2FkZeCSGqAtgP2VHyGoDuACoYhnHD1sLIKx4z5+Fno/MIISZCtnM2NQwjxu56AuXEEazOAOby4soZDMO4BuCa+2chRAyA6zxRD108Zo42FEAU5MnfdcjWpeG2VkQp6QigK+Q9IisBNOOJesjjMXMefjY6iGuuhW4AbgA45eqmAYBuhmF8Z1thAXDcCBYREREREVGocuokF0RERERERCGHF1hEREREREQW4QUWERERERGRRXiBRUREREREZBFeYBEREREREVkkoGnao6LyG6VKlEirWhxt05at0YZhFLC7jltFRUUZJUvxmCVn86YtPGYOw2PmPDxmzhOqxwzgcfPm6JFjiI6OFinvGXw8Zt6F6nuNx8w7f49ZQBdYpUqUwMZVK267qPRMZM9z1O4aklOyVAmsXr/K7jJCUtaI7DxmDsNj5jw8Zs4TqscM4HHz5r46DewuwSseM+9C9b3GY+adv8eMLYJEREREREQW4QUWERERERGRRXiBRUREREREZJGA7sEiIiJnuhR3AQBQbcyzKnd69T8AgKpP1lK59S/NDG5hREREXry+oq+Ki+TIreIF27YDAC5cuKJyK7tPAgAUyFokSNV5xxEsIiIiIiIii/ACi4iIiIiIyCJsESQiSqfcbYEAUOfTTgCA02uO6B2EXDanauniwSyLiCjNnLz2LwCg7Y/vq9yhf/4DAMx8Wbeb3V+0aXALoxQlJCWoOO87jWRuV7TeIcJjXCjRAAAUrFdSpfJnKZS2BQaAI1hEREREREQW4QgWEVE6EpcUp+KbJrRwj1wJvW+9DvcBAD5rMiwYpRERpbnBa8cDADbO3mDaNv2+xSrmCFboeXWZHmG8aeRKJZNMqbAwPVYUJkJn3Ch0KiEiIiIiInI4XmARERERERFZhC2CFNISkuJVfCX+EgBg7OYJKjd2xCwAQM0na6vc6i4zglRd6DEMQ8XDN44CACzetUvlejZsAQBoW6adJa8Xm3BNxUmQQ/fZI3JY8tx0e57//R0Vu9e5AqAmtEC+LCq17LlvglUWEVGa2Xtxh4qn/bjU635FcuYMRjl0mzbtP2LKlXvkbhUf+GO33pAkz3dqVyuX1mXdFo5gERERERERWYQjWBTSlp34Q8WPv/KWafu7AzsAAAbXGRC0mkJZopGo4uEDp5i2d/5lMwCg2cyHVC5v5qjbfr0HpnZV8e59RwEAjepXVbkfW30MAMgSnvW2X4P8s+jYLwCAn6d7+fa2kDwGC4aOClZJRERB0fEHj4l6/o2RfxbQv3e+7PsGAOC5cu2DWRZZoGPDBir+LlyPC+1bKEct7yteJug1+YMjWERERERERBbhBRYREREREZFFHNEimHTmqIr/a90WADBs2wmVEx4LuzyUNxsAoEmlAiqX8+1uAICwRk/ox2ThjfihbMd52cr2+OD+pm1vD9ATNLA18GYGzGtE3CRWrpL+53HdepmaCS+O/ntaxXE7zgIAluzQLWp98gwBAIxvPPK2X4O82xKt13l5auBAGVzU62AhdyYVzh8yHADQtPgjQamNUpaQJN+Pf59do3Idp+gWzhMrDpofVEL+7grPmVmlKpYvIZ+n2w9pUWaGFhN/GQBQ4+PnVO74igMAgDcH6Nx7td9UsWHIz+HRmz5VucF15Po+mcP1JDOURgrK1sDlo8arVN1CDe2qhvxwPTEWALBnyyHTtoH9vgx2OZbgCBYREREREZFFQnoEK/GXSQCA77qNUbkTN+RN/O6RKgDIF6H/Nxo8WwsAsGCG/mb3r6f6AQCGPT5T5bLPWJQGFVNqHLy0R8X39ugsg0v62/jqT8pj+wFHrbwav/0z3zuUywPAumnaU3Lm6tWgvE5G1ev3z/UPZ2JN25f9T2+vV6hRMEoiL+KS5GfZkPUjVO7ntVsAAIeX7NU7eiy1gEjXd6DFs+vc2esAgMTj+r0l7ippcbUZ2+lY3SFT6j1X58uBS3qH8vJz9JMh+pzik+K/6O2xrsmGLtxQqfqfVwMAtCr1pMXVZmynrh0HAOxct0/lqtSrAICjVk7ingirZv1KKrd59gZvuzsCR7CIiIiIiIgswgssIiIiIiIii4Rci2DSSX2D29SXZWvgnmu6TWxkL7l+T8QHX/t8nic8lno5WVDOkZ+5RAEve5NVzl0/AwB4f/VHKjdt8m8ySNKtL7u/+lnFxbLJG7Tbzx6in+i8bK2o+Fg1lVr74veW15vRvPJ0s6C+3i8L5c37iS30+lzhIjyoNaQXNxKvq/jhWa8AANZ/v9a0X5EGd6qYbYH22nrubxV3miFbAw/8vtu8Y0G9Xk9kAd0O2KmFbHGa0ET/QtscvR4A0OLTviq3Y4f8vfnPlQMqVzpnudSUniGdjT0JACjdz6ONz90aeFcelTo8/CcAQPv5g1Ru7fTVaV8gmVxNcLXKJtMiTc6zsL2eGKZHYXlOWCGqkMrN37xVxTvnyRbrLBF6wp9QwhEsIiIiIiIii4TcCNa1Xq+peNMVOYrx6cKxKhfeuK3PxxtJ8pvyG92eUrlGUTnlY/v9z7I6STsao0cdH5/yDgBg3+Kdpv1y1yqm4kxhevropt+9BADYPm+zyolKeQEAX7d929pi07kbCXE+t2eJsOYtn+SahjjJY1QyWf/IKY5vunFfJL8r+Xbosr6Je/135pErZJPHdnz7V4JVEnnhnj6//rvddPLkNflnIT1a1fIpOUI1tnEvlSuRQ49AJqdmVB0AQPGiUSp3aaOclOGFBXoCjeXtptxG5Rnb2399CAAw9l5UufCK+QAAh4fNUbmCWYsCABY8rc8pCm18SMWJe867Hqw/7LJG6Im5KG21ql7V7hLoNuXJlE/FM5p/Yto+a1VrU+658s+kaU23iyNYREREREREFuEFFhERERERkUVCpkXQPbnF0EV6PZDRj1YEAIQ1eirZx7gZ8XqtiaQf5JB97+83qdy7VYsAAET2PCDr/N9/SwAAjwx9VyePxZj2++2rCQCAGlG1Ve73f39T8d8/rDc9ZmRnuU6Tux2GfItNkO1HQybP9rnfu7XfsOT1dl2QN5pe+vu47x0Lu9piBPsCU6vLT6N8bs9zt7wR+NGSjwejHLqF5yQkT3/lmvzA3RYIoEBdOZnPgu4jVa5afv2ZGOjrXLhw5XbKpFtcT9STI/y20tWmnlVPxPPPsLkAgAJZi6jcpbgLAICHp+lbGlRboKciui2wafFHLKmXUta0ZAO7SyALXbxxTsWH/tKt8iieAwAQ6XHLSSjhCBYREREREZFFQmcE6wt5c25MYpLKZWlYEwAgwszTOhsJ8fqxs/W0jj27jTftW7RJRcvqzOjcq6YDwCN9e8vgrP7mFnfKCUU+7/GqSjUq8iAAYOXJZSrX+X19M7ZboXqlVNyt8stWlJthJMH1vklhzgmrFHZ/m1tUTymN/66ad4zkdziplfX1e2Rw8JJpW6YqeumJ7e99B+DmqcHf+uMLFa+dtsrra/Qb0kXFr1XtCgDIl5nLWgSi54qBKv5v5WEAQLFGZVRuVx85EpI5PIvfz3n86hEAwN9n9DF9ffokAMC5dcf0jsXk+3Dcw3pEhfzzz2U9tf2VzXKads8RLLdNZ9ep+NHx7wO4ZQQ/mVH659o8YFGV5M2Sf5ebcn1+k++RVc/7v0zFsL/lyHKYx3EsnF1OJPNCxa6pKZFS6cm5ffQP1/WSL690bA4AyBaRI9gl+YVnP0RERERERBbhBRYREREREZFFQqZFMP74WVNu5wQ5EUKVQvrmUmPndgDA2ul6uH7Wmcs+nzv8ffNc+hSYc9fPAABK9/a4gd7dGlgml0rN7t0XANCq1JOm5+j49Wj9wxXd4okc8p/htndmqVSWcLlWTEKS3m/buU2ulyuncnky5w/kfyPdyu4eIs/q+y19NV7eGO+5DtlPh34EABy68K/KzVopW5KO7fUyicUN1zD9uevJb3f7V056Mn6bbgFP3+sAACAASURBVN19vWoPAEB4WMh8/IS2MFfLSjItSGVKFVVx61myjWLzXx5r0J3Skyz4mmhk+KBvVTyprmzl3fbuTJXLmznq1ofQLfadPGPKXY/Tn1/udcxenKs/Byc9Idf5q5KvpsotPDpfxYMXfw8A2Dl/q8/Xfv65ZgCA6vnvCbTsDK987koqLtpQrkHmbvEEgBIvuta3ik3QD7ohW7Lrd26oUhc9Jh3ZvWAbAKBsXr5v0tpPuzbKwKM9Pi4uwbTfx1vHAQD6jZqsk5c9zkPcazqGmT8nu+NDFdfreB8AYGbroSpXKGsx02Mo9dyfmes37k52e4s77wvo+TwnIqo/qRMAYNOrvicGSw2OYBEREREREVkkZL5CzvK5/La01ZJaKvfVcde0p10+Mu3frqAeNckRrq8Tr7u+hRg7tK3emdOzp9rpWNfNv57TsLu+6ClZsrBKlcktb+refWGbyh2PkaMgZz1vyvb4kuiuhhUAAB0Wva9yV2Lk1Lme3wruWyy/mc9SpaDKXRi1MtD/lXTpWoLruMSav7nzVPbpZkGoxqzvB1+q+MHJ8sZjz2/t6fbs+XW7/zvncY1ahifzvdpFvdSF+306aec3KvdurXduq76MpEl5PbK+HmsB3DwRRa29HWTg8R69d4WcXCSysL5JO36n7ubIW+cOr6/3yCtNVfy/xkO97ke+eY6kf/u8/Hf+0Fo9SRMuxsk/82ZWqfs71AUALH5qksrVm9wuDaskbyY+IkfuK081nwvEJcWpeOB010iFZ/eMx3nIxx+96Urp5Kmr0QCA0V/NVbm1M1YDAB6O7qlym7r/AIBdGVZIMvREd49OkiP8Sbv1EghlHtIjzk2KBnY+M/uQ7pLavXSXDF71srMFOIJFRERERERkEV5gERERERERWSRkxjNFFrmOx8Nb9ZoGD454CwAQdk8dvV+DFgAA46BujZnb8i0Vl3Hd5B/Ry9xWSGnj6LL9Kq61vK15h5I5fT7e3fq3zzPpvmHV837TsrkBAH3bPg662YYzsiUJR6/43tEmL7/5hIrZGhg8+euVVPGe9+RkJjkzmVums75xr/7hgHm9LUrZG9VeUfHydnJtpfXfr9U7XIy79SHADXnTdf4KeiKnbfMXqvivkysAAG02vGt6aJ979Wet56Q1dPsaFmkCAFj9zVSV+2C1jP/3gD7PKJWzLADgUtwFldu6Zk8wSiQ/xF6T76tfj8xTucS9ss2sXgc9MUK3ex5U8TNl23t9vj4131Rx2WHy/MN93gIAI+qMAQAMuPd9EHA9MVbFx2IOm7aXyinbqT0/txINOXFWu0W9VO7oUtdZYVRWlfu1qz63jwiLDKiucUv0ZysKZ/W+o0U4gkVERERERGQRXmARERERERFZJGRaBN1EPt0qEfnRTK/7rWuo11lyzxwIAK+98XDaFJbBudcKGTasm8r1/+hbGVy4kcwjPPjZtlaoXikVN69fHQDwUlV9nO9y1ZA90nfLIVnIY12t6o9WV/GpU7Ld4tQq8/C/p6bdZAvG2IYfpEFx6deXuybqH/7xvc6f4prlbOawgSr10B2PqDhbRA7TQ87E/ieDq+Z16aoWqOhntQTcvCbfsvZyBsZjj+v3x2fbppoeM7COnCUra3h2lUs09CyDbXr2NT0m773FAQB1CjVIZcXkTc0ofVvC/MfreN0vQujPx/A8WVScePJacrtTGiiSTb4fCtQpoXIH/5Ttmt3Ofmbaf3JL/Z4qnbOcaXtyPM85ihctAAC4iBMqt/zQQQDAgHuRoblbAwu/r2f3u7HdvD4gysk29Sea11eptZv3Akj+nGLSAN026G7PDcT6M6sAAHuW6fW0mnZoFPDzBIojWERERERERBYJuRGslCRuWAQA+Pb0RZUbfX8ZFUf0/yLoNWUE7psJe9fQN/r2/k7Gn2z9ROXGzFsAALiw4bj5ScrotctGde2g4uoF7gYA3F+0qekh5J+oLFEy8BhxSmlNLKWo/Pa8RIXiKlW4cD4AwJet3la5CnmqqPisa120Eodb6Of576rpqbNFyn83gd6MmtGdj/WYaCLB8L6jh4kD5I3YrUs/nez2eNeaMNHXT6tc5aGuG7v/09+4568rvwluXqKV3/XSzcKE/O7S89vWDxv4t1ZVhVGP6R9uyBu/USSbSv3dR46OhYvwVFZJqeU5slG5YikVb9t9DgCQZPj33qXbly1C/v4qVCifyp2FXH8uZusp0/7D1+k1Gb9uFvhkaH2aykkuOv+yNeDHpnfukatkR608HZDn7z8fWORzt7od5YQkT9+ZzORpKUhM0uc//Vd8KwOPTo2obNmQ1jiCRUREREREZBFeYBEREREREVnEcS2CNybImxaFxwJJ2R+sZVc5BKBH1e4q/nblSgDABeHRIlhatlH8M/pnlSqcTbejUepVzlcDANClh27rmr1ErsFzNVZPQvLpSy8AAB4s3kTlcrvWRcqfpaDfr5eEJBkksgUmVPx9Uq5HVyzHYpVbeHilinedlm0bK6f8ZXps9uqFVLylz7S0KpG8+ONfvT7LiRUH9YZI+R3oi530ZCXFsuu1zSh0CCE8fwAAhHnmKE1VKlVMxTuRdu17RjJtn4Pub5dmr+ckNw6et/T5LpyTEzzdSLquclkMvX6Vu+09zKNd+lSsPPfssnCYyq1y/84L0+/HN2o9a2mtyeEIFhERERERkUUcMYKVuF5/uzd+oZxmsW2Uvrk0/I1RQa+JtHFbP1WxWt28bG6V2z/8BwActQqGz5ro98KnjV03yEN/42bVZBOFsspvC/OW0lNTXzjNqYmt0qemnkxmSJmfZHDI93Ttkz+eJ/+M/EUnr3lMdBJm/jY9V62iAIB9A+aoXJ5M+Uz7UdrYcGYNAODxHnoyGY/mDDzaTU78M6EJf8cR+TKp6QgVL1+/AwBwdv0xS557yXHdFfD84NEAgNIP3KVy9Qqn/ZTfTtD+FTnp1Xdzluvk9UTzjrkzAQCaNtHdZ0umrJBBnN5/3yJ5HIssrKtyJR7Uf+/R5+VkUFmyZFK58+u8H/OGz+vjVD3/PV73swpHsIiIiIiIiCzCCywiIiIiIiKLOKJF8NqYcSo+dl22vLxcM6/KiYhMpsdQ8By8oNfVcU9oMa2nXnn7jhylg11ShuV5o3WEsOntzXkvUs2zlbNCBTmpwd7z+/UOF27c+hA94UiiR0uGZ1dgLvmcRavdoVJ/vyUntGBbYPBcjb+i4o5TR8ogPknvUEH/bvv8wfeDVRbdhnPX9Xo/W+dvNm3PkSnt19ohKXN4FhUv6C7fV3WPvqR3OCVb2L+b8adK/Rfzioo7VJZrLnlOTPJfzFkAQL8x3+jncbW3/fyibknMFMZzUECvK/Z1s8AfO6+abIV/7pMxOrnftd6tx++xY8v2mR6b7M0JmfTEF6/0fhIAMLx+38ALSwWOYBEREREREVkkpEewEv73DgBg4B/6m9uBteVECXkWLbOlJjL7bfUWFRe/Q0733KbMc3aVQ3bz+LapX73O9tWRTmzpLr/Zm9t8tsq17zHAvwd7jCaOH/gGAKBrpZe87ExpKSZeTlJSZ3xHlTu23PW7rZyeFOjYiHkqLpC1SHCKo9tiwGPkMcE8dP/K3d2CWA25VctfGwAQPVEvSdHyx54AgHXfrVG55V/ryRiWG644hZn1n+8qJ3K4K09lK0oll9alnwYA/Demscr1W/0hAGDKfI9JM9yjWl40elE+/pvm/VTOrqUtOIJFRERERERkEV5gERERERERWSTkWgSNeH3z9qb/LQIAPOmx5lXUp/LGQhGZObiFkVdnt55Q8ecjettYCQVbnpzZVXwhme0bT8v20ar5aiWzlQLx5J1tVRy7qK2PPSlUuNsCAaDuhE4AgMNL9qqcqJAHAPDP8Lkqx7ZAImtkj9Tnjkue/QoAsONhfUvDzL0LVJxkyBbPn/7vb5U7dfAUAKBn18dUrleNl9OmWAIA5M0cpeLPHxjt+tOualKHI1hEREREREQWCbkRrJhnWqh47WU5+eLry6aoXHjV+4NeEyVv0LohAICuPR9XuS4VXrSrHLJBv1ZPq7jrkmGm7WXzcIp+ynjcI1fuUSsAOPTnHtN+E16SE44UylosOIVRUCUaiSnvREERHiZPd6vnv0flqt93j2m/DxsErSRK5ziCRUREREREZBFeYBEREREREVkkZFoEk04fAQD8uu6Yyr3+uVy3hW2BoePUteMqHvPFHADA2o+/tqscCkFVnqip4mr5a/rYkyh9aj23F4Dk2wJXTZ2q4upR5hYlSj+6Lx+o4jZ3yfOY5iVa2VUOEQURR7CIiIiIiIgsYusIlpEQp+J1dR8FALQd+YLKhT39etBrIt8KZyuu4tip22yshEJB+/L6Jv72v3XysSdR+nY05pCKV/+w1rS9xtO1Adw8ahUuwtO+MEozuTLlU3HDLo1UvHLKXwCAmeP0NOB/NdoNADj4HkewiDICjmARERERERFZhBdYREREREREFrG1RTCmbXMV3/NEFQBAeOe+dpVDRER0W/JkyqviiDvzAAASdp9TuXa16wFgW2B6kiksk4qnPTpIxaUXtQQAlKh0h8rN6jIgeIURke04gkVERERERGQRW0ewcs5daufLExERWSK3x4QHVz5aY2MlZIebJoCastXGSogoFHAEi4iIiIiIyCK8wCIiIiIiIrKIMAzD/52FOAvgaNqV42glDcMoYHcRt+Ix84nHzHl4zJyHx8x5QvKYATxuPvCYOVNIHjceM5/8OmYBXWARERERERGRd2wRJCIiIiIisggvsIiIiIiIiCzCCywiIiIiIiKL8AKLiIiIiIjIIrzAIiIiIiIisggvsIiIiIiIiCzCCywiIiIiIiKL8AKLiIiIiIjIIrzAIiIiIiIisggvsIiIiIiIiCzCCywiIiIiIiKL8AKLiIiIiIjIIrzAIiIiIiIisggvsIiIiIiIiCzCCywiIiIiIiKL8AKLiIiIiIjIIrzAIiIiIiIisggvsIiIiIiIiCziuAssIUQ+IcTPQoirQoijQoh2dtdEvgkhYm75L1EIMd7uuihlQohyQojrQogZdtdCKRNCVBRCLBNCXBJCHBRCPGF3TZQyIcSzQog9rt9rh4QQDe2uibzjeYiz8BzEeYQQmYUQk13vrytCiK1CiOZ21xWICLsLuA2fAYgDUAhAdQALhRDbDMPYZW9Z5I1hGDncsRAiB4BTAH60ryIKwGcA/ra7CEqZECICwHwAEwE0A3A/gAVCiBqGYey3tTjySgjRDMBoAM8A2ACgiL0VkR94HuIgPAdxpAgA/0L+HjsGoAWA2UKIKoZhHLGzMH8JwzDsrsFvQojsAC4AqOw+YRBCTAdwwjCM92wtjvwihOgMYBCAMoaT/vFlQEKIZwE8CWA3gLKGYXSwuSTyQQhRGcA6ADnd7y0hxB8A1huGMcDW4sgrIcQaAJMNw5hsdy2UMp6HOBvPQZxLCLEdwAeGYcyxuxZ/OK1FsDyAhFu+jd0G4G6b6qHAdQYwjR9soU0IkQvAEABv2V0LpYoAUNnuIih5QohwALUBFHC1dB4XQkwQQmS1uzbyiuchzsZzEAcSQhSCfO85ZpTYaRdYOQBcviV3CUBOG2qhAAkhSkIO9061uxZK0VDIb9WP210I+W0fgDMA+gghIoUQD0G+37LZWxb5UAhAJICnATSEbDerAaC/nUWRTzwPcSiegziTECISwHcAphqGsdfuevzltAusGAC5bsnlAnDFhloocB0BrDIM4x+7CyHvhBDVATQFMM7uWsh/hmHEA2gN4FHIewx6A5gNgBfJoSvW9ed4wzBOGoYRDeBjyPsNKDTxPMS5eA7iMEKIMADTIe957GFzOQFx2iQX+wFECCHKGYZxwJWrBgcNGWZwnQCMsrsISlFjAKUAHBNCAPIb23AhRCXDMGraWBelwDCM7ZDf0AJQ9/fw29oQZRjGBSHEcQCe7UpsXQptPA9xLp6DOIiQJyCTIUf6W7i+RHQMR01yAQBCiFmQv4C6QrZTLAJQn7P3hDYhRH0AfwIobBgGv+kLYUKIbLj5G9q3IS+4XjUM46wtRZFfhBBVIU8AwwC8BqA7gAqGYdywtTDySggxBEBzyJHHeAC/AFjBiUlCF89DnIfnIM4jhJgI+f5qahhGjN31BMppLYKAPGnICnmvwUzIkz5+qIW+zgDm8oMt9BmGcc0wjFPu/yBbYq7z4soROgI4Cfn5+CCAZry4CnlDIZdC2A9gD4AtAIbbWhGlhOchzsNzEAdx3S/XDfIC65THGmbtbS7Nb44bwSIiIiIiIgpVThzBIiIiIiIiCkm8wCIiIiIiIrIIL7CIiIiIiIgswgssIiIiIiIii/ACi4iIiIiIyCIBLTQcFRVllCxVIq1qcbTNm7ZEG4ZRwO46bsVj5h2PmfPwmDkPj5nzhOoxA3jcvDl65Biio6OF3XUkh8fMu1B9r/GYeefvMQvoAqtkqRJYvX7V7VeVjmWNyH7U7hqSw2PmHY+Z8/CYOQ+PmfOE6jEDeNy8ua9OA7tL8IrHzLtQfa/xmHnn7zFjiyAREREREZFFeIFFRERERERkEV5gERERERERWSSge7CIiIjIGlfiLwEA6o7vpHLzu45WcdlcFYJeExERpR5HsIiIiIiIiCzCCywiIiIiIiKLOLZFcN3plSpu0vlFFd/XpSEAoOVdVVTuzepvBq8wIiIiP7z1f8MAAIf/3KNyjyb2UfG+PguCXhMRUSjYcX4zAGDgqskqt3jiEp+PmTp+EACgbZl2aVeYnziCRUREREREZBHHjmAtOeaxAFqYXrx89VSZXw29PXbIDQBA39rvBqc4IiKiZCQZSSo+HH3etL1IkfzBLIeIyHbXEq4CALZGb1S5B4f0lsGRK3rHcAFfun/zJQBgU4u9KjesXn8AQGRYJitK9RtHsIiIiIiIiCzCCywiIiIiIiKLOLZFcMXhg37vO+SLWQCApz9upXLlcleyvCaiULclegMAoOP0ESrXum51AMCweoNT9dz918rHz1u3VeWmd3wfAFAj6t5UPTdReuHZIrhmqmuypgp5Ve7XZz4Ndknkh7mHZ6t44PzvAQA5cmZVuW1zN+udc0UCADq91EKl6hQtDwB44s7WKpc3c1Sa1ErkBO62QACo+1kHAMCBJXu87e6XmO2nAQCfbvlB5dpNfwwAUC1/7VQ9d6A4gkVERERERGQRx45gdalxv4rdE1t4dfIaAKBq304qdeqTPwAAuTPls744ohBVv0MHU27s77sBAMMWD07Vc4/94HtTbk7dRQA4ghVMNxKvq3itx3IWU3cuBgDM+thj6u8SOQAA3Tvqb9p71XwJAFAk2x0qFyb4XZxVXlpinmwpe9bMKs4RmSuY5VAKLsXJiUja9xigk8ndZ++ZuxwPAJj28XyVmub6szs+VLlxo+USMh3v0p/L2SNzpqpe0qPEA9cNUbnkfj+NGt1dxW9UeyPtC6ObNJ/5moqTG7nKWa0wAKBwAT3C/9VzvVW88fQ2AMDbQz/XD4pNtLrM28bfmkRERERERBbhBRYREREREZFFHNEi6F7NGQB6Lh4PAFj3m84Vql9KxcWLFwAAbJr9t/mJPObS/2izfJ6hdQdZWSpZ7HpirIpHbfzItD0iTP4T7n9P36DVRJp7YgtvUjtxBiUvLikOABDrcZPwB+vk++OLsXM9dvRolxCuHiaPdQNxXD7+s5E/qtRnkPEHw15SuXdqvm1J3QTM+nqxKTes3XM2VEK32n1BthzNObBQ5UbOmu9td6/qdqgPAFi3fpdOHrxk2q/XO58AAEpOLK5yzUu0Mu1HgRn690gAwNihM3UyzNzXOWfbJhW/US3Ny6JbnD9nfk+42wIBYFc/efwKZC2S7OPrFGwAAHjnjukql7T/opUlpgpHsIiIiIiIiCwSciNYP/+jv0nNEZkdANC0WHOV27pdTs/e+7UnVO7tmq+rOGuEfEyDG51Vbud8PW2027I9BwAAH9TRU+byRu7guRR3QcUTd3xl2v7Fb0sBAKc3HNXJONexSuYG4/mt9TH+u9sP5h0yMPfU7GnhqXJ6coSxMN9E7H5tTnKRep6TVzSfLW8OXjt9te8HFc6mwvyl5eh+mdJFVW7rDvl5Ghcbpx9z6DIA4Le9+tv3d2reXs2UglyZAAAPlXjQ5kIyrvrftFfxlt/lCBZi4lP1nMvbTQEAXG2ju2Y6/y67LBZ+8adp/y5fj1Pxvv7yW/ncmfKa9iPvTl07ruIxPyzwsae2dcchFV+OkyMfuTLlsbYw8qpdg3oqXl1KjlI1vKO0ynkbubpVUpKhf0h0xR45AwbswCsKIiIiIiIii/ACi4iIiIiIyCIh0yJ4NSEGAPDG9Ekqd3bdMQDAb19HqtyFUSvhj7UvzVBxzvmVTds3/ygnwTjwxG6VuyuPeT8KzJzDsj3vRMxplRsy6ycAwNVD5/WOiR5Dtlf9bMdIbu0Rl53ztugfuvn3dBnFnAOLfG5fM2OGz+2+pNT6535ttgim3s///KTi5FoDc9cuBgCY2EWvLXJPwXtUXCx7Sa/PHRN/WcUPTX8VAFC1mH/tGeQf1eKZ5JHMJ1sE78xVPvgFZUBxiTdUPGSDnAhhi+eEWO6JEHJ4nBoVlrcdjHyhnUpNXCJb2I8u269y1Z4099F6rmn1U8sJAICHYvXkMSu/+T8AwKWNJ1Su9U9vAdBthuSbuzWw7IA2Kpe0R96CkKlylMp1bN4QADD5Uz1pSfyuaBW7b1tgi2Dw9K3tsSZg7cAf/8PB72RwIkYnw80nisLXyWMa4ggWERERERGRRWwdwdp3caeKq3dxfftwI8m034xdv6u4cdFmfj13uND/a28PlN88fTTEfBN+22kDVbyt51zTdrrZ7EP67/DHPWsBAL/+5DGqeM71LW2C+Timpe7vtw3q6zmBe4KJ5FawL/NwJRWnZnQppWnayTqD55knb6nYsqqKN7wij3NEWKRpP0/uKd4BYOlx+dk6YJGe5vbnDqMBAHfkKA2yzpQ9rhEJjxH7Rzo1tqeYDGrJCX0uMXaYawpvj+m7y7k+F3/o9IHKVcyr32NuL939IgBgUJ3RKjfivoGm/ZIz7VG9NEzpKa7JTez5gt2xTl77V8XlBsjf/Yl7PDpkistRx9GdOqjUK5XlyPxv67ap3H8rD6v4crx5ynAKbTuj5SRNiE30vaNNOIJFRERERERkEV5gERERERERWcTWFsHVJ9fpH5JpDXT7pLF/Q++ehNBj7o2Kyxu9P4qcpXeIl6+XmBjcVjYnOHJFDru+sexjlfvjt/Uy+NfjZsIka9YWuOvRKgCA+6vcpXJD6vUBADwxp7fKrZ22yvTYYveXBQAMq9/PklrSE1+TW7SuWz0oNbjbE4ctHhyU18toejdtpeKUWgMTkmRrWpsFb6rcH1/Km/VRMKvesQMoDXy25HdTrnHJwCe32HtxBwAgPkm3GpZwtXNy7aTkXY2X61G9M+cb07aSD+hjsPa1aQBunpwiOe7tHzUcFnAthbMV97l93VK5puOVNrplLWdk7oBfJz1yT8bjbgsEPFoDs4ar3NqRXwIAqufXk/ykpOfv4wEAS5+dnNoyKQTUaa/X2KqUTJtvMHAEi4iIiIiIyCK2jmCN/c33atuRd8spNrOGZ0vV6zQr3gIAULD2Jyp3Zu1RAMC5i3p6Yve3Izkic6Xq9ZyuYi/XhCMnrgb82KpP1gIAfPO0nn6zcNaiPh/j/nYuU3hmlbtwQ06funb+Bp+P7faQvEk4S3hWn/tlRPPWbbX9NTwn0yDrdR2pR5nfKSW/fW9yr15uwnN8fukaeXP35U3/mZ5n6oB3VMzJLaxz8cY5FR/cdiTgx+84vxkAMP+QHv0aPkweZ8TpG7uLNy4HADjw7sLbqDL9m7FfTud8aMke07atvWarOCR+j5y6BgAYvXGcSg2rN9imYkJLZJhc1qDuvfr3ytmScnr1L5/ppXKBjFyRs3guKTLlD3NXk9uE5m+o2P3vJtg4gkVERERERGQRXmARERERERFZxJYWwT0XtgMADifXMhGhJ6f47CW54nl4mDVlDnpa3xjZfe2HAICLf+sV1DdHyxXdGxV50JLXc5LnFunhVF+tgdWf1sttT3mqLwAgt8fK5wWyFAaQ8g33nq4lyNebuvtblXtzsmvNmEt6zZ4C9UoCAD5s97zKtSz1uN+vQ6njXlcLADpOHwEAOPT7bp+PCdZkGhnW6VgVnj8t14aZs16vEQPDYyIa4X2xna2n96m4bRnrysvoVvy3XP/gav1KyZW4iyq+b+TrAID4HWf1DskcxuOrDwEA/jq5VOUy4u8xb2ZudU2o5TkvUx7ZNmRnW2Cn3vL317Sx803bzsXGmnIZXebwLACAJc9wIgonc7c+V8lX06/9fzj4nYqf7znE576lH5STpVXOV+M2q7MOR7CIiIiIiIgsYssI1pnYMzI4e928sbSeYKJj+ectfd2z186nvFMGNapRTxUfPyv/nlpWrqJyz971FACgeLaSKmfVyOLpWHnTfc/eY80bs+nXmPVyfwBA/cL3W/K66Z179GhsMqNMnpNTDHPNZtp/7WCf+6U0WpUc3pxtnU1vzlRxYs8EAMCYTXrintkrNwIAGtSooHKjG+hlDko81dj0nLlrFwMADKnb39JayYdMejrpVyu/AkBPIw4APZbrb2jjd7pGrrwPPkolcgAA6hVqaE2N6YDn3+n69a7PLo+/xy5dWwS5IrOXqz4JAJgmzCNYKR1yolDl7koCgOYzXwMAnD+nlx04uFd2WZStcIfpsZXL63PMCQ/I5XdOxJzRO4T7fmd80Pq5wAtOIxzBIiIiIiIisggvsIiIiIiIiCxiS4tgfFKC122fv9rN8tdLNOR6IYPHTjdtc6+1BQB3561i2p5RlMyh72xf2dn892S1f2P+UfG9o7qad8guJ8mYMqqvSrE1MDBPlZMtMGPxvWmbZ7tfVCfgogAAIABJREFU1t/LW/q6vQe1s/T5SMoekcOU82zBHFxHfq5GeLTuXk/0faN8s/rVXI/xf1Iask68EQ8AeOGPfir3y4TFeocI13egkR7fhcaaf382vL+Gazd71nsJRXFJN/QPhy6Ztveq1TmI1STvzlxl7S6BXAY2Cp3WMqcbufEjFW+Yvd68Q6Kcbebgib2mTQeX6ty8L36/aX8AKbYIhhKOYBEREREREVmEF1hEREREREQWsaVF8NnPRwT19YZucL3exTjTthJFC6g4f5aCwSopQ/KcWab93EEqjtl8Ugbl9XpaO4ZMBQCUzV0xOMWlQzWi7gVwc8ve2A/M7YKUPrhbAxM8WrArf/iU3iFJtlnkqFVEpaY/Mi44xZGWkKTCskMfAwBc3HBcb/fohhk3Uq5PmGjox7z9zv9kUDS7yn3V/L00KDR9K5ClkN0l+NS/Tne7SyAKyAMzXwAArP19s05GybXLyte4U6UM1/qMwmNtxkNH5Xlg4v4Lqaph/X+7AABtQmA9R45gERERERERWcSWEaxgSPL4xu+PXeYb6dya1bo7GOUQgEOX96l4645D5h0u6xFGq9bYopsnQpj3sFzXKqU1rco8XAmAXkvr1uepPK61X89DwTdq04cqPrHioN7gmihhysu9gl0SeUrSQ1Q3jVy5lG6m1zFb9a/8zJwzY5lpvz2f/Khiz0mKSHpv1Rj9g2Hevvw/+Xf6ROk2QarI7MU/BsvAo766HeoDAIpmLxH8gjKwIX/JdQaXPtvU5kqc6+xp11qz5/Qat+WbyXOJbT3n+nzsgHUfAAA+Gj7T534p+WzMTwCA3dHRKjf5YTmJUJFs5nW30hJHsIiIiIiIiCzCCywiIiIiIiKLpLs+rLgk2WbWam4Pldvy00bzjmVyAQDeu+e1oNSVkZ24ehQA0PIzfSN2/M6zKo6sLCca+eSFLipXOme5IFWXsezsNQ8AsKXjBpWbc2ARgJtbAFPiqzUwkOch67gnkfl26UqdDNM3Eb/4lmzrbFmydVDrIj8UzqbCrg82UXG/sd/K4LxuuUE5ORnQHTlKB6Myx3q56pMqnibmm7Z/tkGuN2Zni+BvX/wpA+cs7UN0kx3n9YQWB/f+KwOPdatOnJKtehU+aqVyR5e4bhcJ8/MfflIyPb4pWP6lbqu+c6Fci+vb995Wudal5QRQmcOzBPzc/uIIFhERERERkUVsGcEqU7oYAGD71tOmbdvPHNY/VDBtTtaRK/pG7teXjgUA/PXN//l8zNrBnwMACmUt5t+LUECuJ1xT8fD18u/6zJojeofskSp8tfWDAIAXKnYNSm2kp3C/NSbnqjOhPQDgxF8eE8jk0u+zCU1GBbsk8tcp/XnZr+8Xps1Vn6yl4sWdxgMAwkV42tflYBXyeExgVTa3/PPgJZVaPW2VDJ4JYlEABq0b4nN7v0ZBLogAAB817WZ3CY5UJV9NFZetICeROHhCTyx3dccZ+SfO6Ae5R67CUxjBKiJH9u9/uLZKjW78soo/3zobADBtjsckQP/GmJ/ndCwA4PleQ1Wq6Yvy/f9TK71UidWjWRzBIiIiIiIisggvsIiIiIiIiCxiS4vgks6yBaJB7Asqt3+xXH154lg9V/6afYfhj+3rPda5+u+aeYeicpjxoVb1VKpSnqp+10v+u54oh2JnH/pB5aZ8+LMMPNoC733cY8j3Pt8tE0R0s5j4ywCA1nP1mlYH/9ovg3K5Ve7t5x4Nal10s0dK6L//ux+X7Sy75m/1+/E12twDAPjxmREqlzdzlEXVpW/ZI3OquM69ci2e9QfXmvbL37eRincN+B4AUDhbccvrcbcGjhlpXufnsdceVnHjolyHyQ5RWQrYXYLjdXtA/tvts9T72rMpibgrn4q3D5oKwPukZ18+KM8jR9yn2w9rjJGt8mfXHfP5OksmLwcA/FLlZ5VrU+a526jYO45gERERERERWcSWEaycmeQ0s3M6D1e5KltcV46um9EAYPvPmxEw901zHtPeDuwmbxrtW/vdwJ+PUnQjUU8h/MisVwEA62esUbkSD9wFAJja6R2Vq1uoYZCqo2Ap83Alu0tI19yjVgAweN0YAMDqqatM+03u8bqK25XrmPaFkVdZwrOqeOoz7wMAav/m8S1pXKL5Qa4lRABgQTt5A3b+LAXTpsAMYn6bjwEAhTc218l9FwEA17aeUqnST8sJl3oP0Meod0255EtKI4fu7g0AOHddfqN+95D2Kndjx1nTY9zH+n9N9O/GiLB0t3qOI7y1Qv4b+bHleJsrca5Xq8jzPzFCT14xaflS036GIaddz18gj8rNeUr+TosUutPJfa2QEs/Pxz19ZRfcH8cXq1y7D1zXGueuI5g4gkVERERERGQRXmARERERERFZxNax6LK5K6r43FerAQAfbv5E5UYNnubX87R87SEVNy9TDQDXVAqG3Re2AQCemTpI5Q7+vhsAcEeT8iq38Y3pAPwf7qXQ1H/tYJ/bW9etHpxCMqhHZ+nWvw0z15m2vzuoAwDg2bLtTdvIfnfnle+P2Pl7bK4k48mdSd44369da5UbPvhbV+SxFo8rHDtMT0QxFjKu005PkpWcAwePq/j8+n9NT+2OC9UrpVLr3poMIG0m1aDAnI9JZoI0Coh7bb7uVbqrnGccDO7JbZ4o3UblvnedorbrOUDlclYrDABoXLRxmtXCESwiIiIiIiKLhMzdlNkisgMABt3bT+UGLernbXeyydUEvUr2KwvGAtCjVgCAKHlT9+JXPlYpjlwRBeZq/BUVN/xKLmexZ9lu037vDe6k4v73vAcACBP83owoOb2q91DxUzPkFPqv/TZO5datl8vF4OAl02PXf+cxxbswbU5eET3Z1psvPAYAGFpXf4vOCS1Cx779clrvawlXVc59XkrO5h7Nil3QJoU9rcXfxERERERERBbhBRYREREREZFFOD5NAYnq86D+Ye8F0/btE+QNwXfmKm/aRs42rN5gFc97eCsA4JBHe6jndkqdOYd/UvGeX7ebtrsntHC3BQL6BmMiSp77BngAqJi3KgBgebspKvdjHfn7a/nRrSq3cvs+AMBdZfVEFAu/+BMA0KCzXs+xXFR+FY+4T65rFe7RApgzMnfq/wcozZxbJ1sEO/ym10ud22qCXeVQOsARLCIiIiIiIotwBIsCMqW7niq6Sx+5OnaBGvqbvSNXjgAAyuWuFNS6KLh29pong1721pFeXbxxxZR7Z6Cefn2gazIgTmhBZJ02ZZ676U8AwAPJ7NgyOPWQ9f7qOVHF7UvoJWZ27zkCAJj2yIhgl0TpFH87ExERERERWYQXWERERERERBZhiyAF5NmyHXT8cwcfexLR7epZtaeOF/X0sScREfmrWPaSKl7R/lv7CqF0jyNYREREREREFuEFFhERERERkUV4gUVERERERGQRXmARERERERFZRBiG4f/OQpwFcDTtynG0koZhFLC7iFvxmPnEY+Y8PGbOw2PmPCF5zAAeNx94zJwpJI8bj5lPfh2zgC6wiIiIiIiIyDu2CBIREREREVmEF1hEREREREQW4QUWERERERGRRXiBRUREREREZBFeYBEREREREVmEF1hEREREREQW4QUWERERERGRRXiBRUREREREZBFeYBEREREREVmEF1hEREREREQW4QUWERERERGRRXiBRUREREREZBFeYBEREREREVmEF1hEREREREQW4QUWERERERGRRXiBRUREREREZBFeYBEREREREVmEF1hEREREREQW4QUWERERERGRRRx3gSWEmCGEOCmEuCyE2C+E6Gp3TZQyIcSzQog9QoirQohDQoiGdtdE3gkhMgshJgshjgohrgghtgohmttdF6WM7zVnEkKUE0JcF0LMsLsW8o3nIc4jhKgohFgmhLgkhDgohHjC7prINyHECtdnYozrv3121xQIx11gARgJoJRhGLkAPAZgmBCils01kQ9CiGYARgPoAiAngEYADttaFKUkAsC/AO4HkBtAfwCzhRClbKyJUsD3mqN9BuBvu4sgv/A8xEGEEBEA5gP4FUA+AC8DmCGEKG9rYeSPHoZh5HD9d5fdxQTCcRdYhmHsMgzjhvtH139lbCyJUvYBgCGGYawzDCPJMIwThmGcsLso8s4wjKuGYQw2DOOI65j9CuAfADyJCG18rzmQEOJZABcBLLW7FkoZz0McpwKAogDGGYaRaBjGMgCrAXS0tyxKzxx3gQUAQojPhRDXAOwFcBLAIptLIi+EEOEAagMo4BqWPy6EmCCEyGp3beQ/IUQhAOUB7LK7Fkoe32vOJITIBWAIgLfsroX8x/MQxxMAKttdBKVopBAiWgixWgjR2O5iAuHICyzDMF6DbH9pCGAugBu+H0E2KgQgEsDTkMerOoAakC1n5ABCiEgA3wGYahjGXrvrIa/4XnOmoQAmG4Zx3O5CyH88D3GUfQDOAOgjhIgUQjwE2f6ezd6yKAXvArgTQDEAkwAsEEI4ZqTYkRdYAOAa5l0FoDiAV+2uh7yKdf053jCMk4ZhRAP4GEALG2siPwkhwgBMBxAHoIfN5ZBvfK85jBCiOoCmAMbZXQsFjuchzmAYRjyA1gAeBXAKQG8AswHwS40QZhjGesMwrhiGccMwjKmQbZ2O+X0WYXcBFogAe59DlmEYF4QQxyF71FXarnrIf0IIAWAy5MhIC9cvKQpRfK85UmMApQAck2835AAQLoSoZBhGTRvrosDwPCTEGYaxHXLUCgAghFgDYKp9FdFtMCBbOx3BUSNYQoiCrimIcwghwoUQDwN4DrwxONRNAfC66/jlBdALcjYfCm1fAKgIoJVhGLEp7Uwhge81Z5kEeWJe3fXfRAALATxsZ1HkHc9DnEkIUVUIkUUIkU0I8TaAIgC+tbks8kIIkUcI8bDrmEUIIdpDzoq72O7a/OW0ESwDchh+IuTF4VEAbxqG8YutVVFKhgKIArAfwHXIofnhtlZEPgkhSgLoBnlfwSnXt+sA0M0wjO9sK4xSwveagxiGcQ3ANffPQogYANcNwzhrX1WUAp6HOFNHAF0h71NdCaCZx0yQFHoiAQyDnAEyEXIymdaGYey3taoACMNgBwkREREREZEVHNUiSEREREREFMp4gUVERERERGQRXmARERERERFZhBdYREREREREFgloFsGoqCijZKkSaVWLo23etCXaMIwCdtdxKx4z73jMnIfHzHl4zJwnVI8ZAERF5TdKleBxu9WRY8cQHX0uJNcI4nvNu1B9r/F95t2mLVv9OmYBXWCVLFUCq9evuv2q0rGsEdmP2l1DcnjMvOMxcx4eM+fhMXOeUD1mAFCqRAlsXLXC7jJCTu0Gje0uwSu+17wL1fca32feiex5/DpmbBEkIiIiIiKyCC+wiIiIiIiILMILLCIiIiIiIosEdA8WERGFtuUn/lBxixd7qLjqU7UAAGNbdVO5BoUbB60uIiKijIIjWERERERERBbhBRYREREREZFF2CJIQbP34g4Vb43epuJuk74AAGTOFKlyZ4atCFpdROnBpbgLAIDnv/lIJ8P0sjjbf94MAHgj4XOV2/Rq46DURkRElJFwBIuIiIiIiMgiITeC9efxRSo+evkEAMBAksqJZK4Jv1m3QsVbfvxbBgWzqtz4d+WN3s9X6KJyEWEh97+eriQZ+ph9tOVjAMCgwV/rHRIMFdZqew8AYO4zY4JTXDo09/BsAIAQwrSt8+efqDh+51mvz/FUzxYqnvOpfB9OnTBY5SLDIm99CLJHZFPxQ3c86n/BZImrCTEqrjbmWQDAmbW+10B896HWaVoTUUaR+O1wFV/7ZZmK+/y+DwBQIWsmlevR9T7T40UHOeFMeOUGaVUiEdmEI1hEREREREQW4QUWERERERGRRUKmT+6vk0sBAI/1fkcnr8TLPw3dToZkWqBu4t5+9rpKvf62vOl77kubVG5uK9m2lsWjxYms89SC11W8eOIS0/bmrzZT8dxWE4JSU3rWvnt/Gfj7/kjGnPG/mfbr/PoHvp8va7gKqzw83etuizrpNsWoLIV9Pyf5bdlxvebV6TVHfO7b4/22AIA2dz6XliVlODHxlwEAj3z3mspt+m0rAGDv5PkqVzJHmeAWRmkm4b2OAIBeE1aoXJLHaUo45Ofngdh4lXtjvN7XreiklQCA9/6aoR/LdkFyKCMpEQCQOPhllVs5dS0AYHb0FfP+0G+akfVLAgByvd5Z5cIayXZ2kaeg9cUGAUewiIiIiIiILBIyI1jnr8sphtWoVUo8voiv10HfPFrrjmIAgAkf/qR3iJcTLiz/arlKPRP2NgBg/uN6ymJKvXWn5Tdyi79eqpN5MwMAPu77ikq9XOllUHDUaVdPxSUL5Lvt55n75zoVJ+w+J4PYRJXbMW+L18eW2veEise+IL+herHiiyoXkcwEGuTd/CNzAADPDhric78cNfRoYd97egJIfiIUCkxiUoKKW/4g/143zdpg2q/zvKEqXtHh2zSvi9JO4vIfVNx7wv8BuHnU6nb8d0N+fo5v3Enl3ow+nLonJbJLnOwce2Os7qzI4loqJE+EHs+JcP0KCvM4ke+/5pgM1ujPzFb5ZafZw1v1ubvIV8TamtMQR7CIiIiIiIgswgssIiIiIiIii4RMi6DfyuYGALzTrqVKfVB3oGm3v/YcVPH2nzebtm/YvFcGj1tcXwbXZMAbMvBY52rSoLcAAB3LP29DRRnDpu9/BAAImNu/Sucqp+Is4VlN2/01quG/Kr5444LX/Z6ZNkjFBzbLdpfEPedV7s0+4wAAnX7RbTFsEQzMs/1dk4+cv2HalrOmbqHY1W+mivNlLpDmdWUUiYZujV0/Y01QX9u9xmBCkrmdPjJMr7vEVlBrJJ0+AgBY0FGfZyS4Jt6qlkP/fb/4+1cqDitTHQCQ+PUIlYtdsw0AsHztMZX7/cI1AMDVJL1uJKXMs0X34GV5LpctIrvKPTa1DwBg76/b9YPcpyRlc6lU6xb69pLvmsvfS6tO6Xa0O3KUAACUzql/h5IPkfJ2kE8n9VQpUft++WeB4nq/HHllLpM+H0mc/T8AQPRns1Ru2KbjAIAGr+iJL3LM1u2HoY4jWERERERERBYJmRGs5iXkiFT7XvpG+p1HTwC4eZb2mc/Ib27vzFU+2ee5EncRAHDmjPdv2MlaIzaO0j8ciwEARFSOUqmWJVve+hCyWKW81dL8NYpkuyPZ+Fbb3/hZxe+ult/6fjr8B2+7UwpOx8rPwVIvNdfJC+aRq9y15QQ/B/rPVbmcmfKkbXEZ1Pbz5q6Im2SS3102r1jJ8tf+Zs9kAMDrb31o2rZ6hl4qoWZUHctfOyNaV/dRAMCfrtEmAHgyKicAIHu4/o46vPoDpsdG9PpIxTl7yT9bHtujcr9XfMjSWtO7+KQ4AEDzH19VudVTV3l/QEGPjg33IOFhPV34vAmLVXzH37sAAOfX606NAnXlCNaxgX/ebskZigiXlxTh7fsE/NjwtrL7qWDrbioXkV+e52//+4TK1U9NgUHGESwiIiIiIiKL8AKLiIiIiIjIIiHTIpg5PAsA4OtmH6Wwp1lsgh66v//rlwAAp1b/4/Mxo57rEPDr0M2ir58CAAwdo9tS3HMsbBqgb/jNmzkKlHHEudo4AGD/uXM2VuJcG87oiRM6Th0pgxQmtNj5vpzQgm2Baa/tV77XH0M++fvs3VrvWP7ar4+c4HXbff1fU/Efg+Tv0oZFmlheQ0ZyMSHR67Z7Fk0O+PluDH43NeVkaE/+ItvIPNsCwyrKCRMmdtPrbN6dryIAoHr+e0zP8cQvPVT8x5d6vU7P1kC3pxrfm8qKyV9J/8gJSfY9rie0iHMtNHc8zs/1cUMMR7CIiIiIiIgsEjIjWIGK9/iW/J7x7VR86M89ye0OAMjvumERAB4vzfnZUysu0XUMYvSUqSicDQBQMGvgq227b+YHgJ3nd5q21y0kp1TNHpEj4Oem4BmwdpiKF09cYmMlzvX24okqPrZ8v9f9fu2pp4GOylIoTWsi4LMdnwEATm466nO/BcNG+dzui3sadgC4lhCT3A7eH3xE38D/y6FlADiClVq17pQjJAvPX1W5udHy77lx9H8+H2tcu6zixCny38Qn83ZYXWKGsW37QVNueMdnAfi/DMyPrT5RcdH1TVV8detp075v13o5wArJH0aiPGdM/Ly/yo0bLCfCOnJdn08+ESXP9R5YvzCI1VmHI1hEREREREQW4QUWERERERGRRRzXIjhhu7zBt8/oSTqZzJowydnT9ycV54zMbWldGdGEbeYbfDu0bwYAyJMpn8/Het7EP3j1NADA8lke61lcMd/UWKTBnQCAxd31RCjlc9/tf8GUpi7ciAYAfDFvqWlbiSZ63bqRT3UEoCe2IbOC+XKl2XOvP6PfZ9fir3ndLzwsXMWNijyYZvU4yaELrpawqwk+9yubu+xtv8b0fd+q+JU3b7/VkKwR1buLDJ4batq29fmBKq6xrIKKk+ZPBQD8MlqvSbf0Qqzp8Y/lly1QD77/tCW1pkfXEnRr5tlT5vVNo2MvBvR8mcIyqXhbPz1BV9k2XJMsWP6pUxcAMHaPbst0vxfeGqsnoAvr1BcAIMKcORbkzKqJiIiIiIhCkCNGsCbu/ELFfYa7bv5OZoTjJiX0RAh/j/gaAJCNkyNY6mq8+Rg0KVnV6/5f7f5SxT1HfKY3nLsu/xTC5+udXHUYAPBiMf2t7srO073tTkHw4eaxKv5isZzQIn5XtGm/Na/r0c78WQqmfWEONWWv/Hta+KXvyUGqPlETAFApb2Wf+52/cVbFj86QUxxv/X2b3iHGx0hMVj2CdeGHjQCALBHZfL4eBWb3BXksBq7Wy1os/Ha5XeVQMsIebAsAeCSf/qxbfF6O/H5zUo+e1Lq3lYo3XTF31eSLlN9ntyuhuzvKj5bvyfDmz1tXcDqTKSyziu8oVRgA8K/HZC5jZy4CAPSuqadf93dpmDEbv0x5J7JE4pLvVTxur3lCkaYLZVdaeJWGQasprXEEi4iIiIiIyCK8wCIiIiIiIrKII1oEe/UZp39IoY1MuazXyboSL4eTw0W4t73pNkz6Vg7Nw9DrshiGeY2WHsvfAwBMHjPXtA0A7nBNgDC6jV7B+4nSbQDcfINr4b7yJtSNM9er3PZWmwAAVfPVCrh+Cozn+jxd/ngbADB7wiK9Q6I89ne10G1rw1t1AgDky1wgCBU634qju2SQ6GOtIwD/10W2EibXsnfq2nEV3z1UrxF4bZu5LQPZ5K+AuxrrG/T3LXKtQRebqHKvLhsAAJjykG6TottzKU7fqP/HUdkOuHDCH3aVQ8kwLunW2qMPtQAAbI7xPZmWZ1tg4UzyXKPv8PYqJxo1BwCEV25gWZ0ZQUSYPk19p6Vcv/T1FXqiKxy8BAAo+lozlZr6fh8AwNN3PqtyYUKOJxy4tFvlJo2fb33BlKywus1VXDqLXP/qUKy+zWRwQzm5Re96JVUu15eyhTOsRMVglGg5jmD9f3v3Gh9Vde5x/D9JIBDuV0GiFRGLCqJ+wCKlCBQqB85RK0oVaUUatLRcipaKUrABDwRB8XbkVAUrpVqoohZUbPxURFEUyuES7sWg5aJcBLmFAEnOizWz1g57JskkOwkhv++bLJ7Ze2bpTibZ8zzrWQAAAAAQkCqRwbp5pLvzfW/5GklS7km3OPtU1j7fOd7W7b2GpJnQojU2xmLtACSEs4merGIoPF7x9Yc2Nvv58C7cNdz9/ISJQ+x4zFWjJEm1o1yTlKQ6djx5sFlsPG6ca5DxYpbJis3sTgarPJzMd5ngqaum2/GCJ6PsrB6+vq/f5ZqQtK7Xtvwmh6jaP1JM1qql+zlbPMlcq++f5xYWN802LdnztrpMS9dU12YfxXtp03xJUrvGF/keG5Lh+fR95zHf417JHU1DmOu+57ajWPrSMjPIzYt2CuJUcGivHefNmSZJWjLTvb+9803R1yiicz3XjOGn8yZJkhJ7D4p1OErh7suGSpJOPeoyH/f9Pvz3wB635cRdI9PN1wujZNz3edrl5/h/hpI7uGqLFimpZZkuPEJ1G9nxmC9WS5I+797bxt79t/l9M35Zto1d0ek/JUk/69HGxlJmPGnHZ3tmiwwWAAAAAASEGywAAAAACEiVKBF8pZ9LCX7b+xtJhRfcv7jJ7YWU8apZtHhk9R7f8+w8/qUdX1K/ne9xxKfZd8xeE/v2uP+vG/dvlySNnOP2ddEhU2Y2cHR/G3qo07i4X2/fcf8u7gjOtye/sePFOxZLktLGTnUHnMo/8xS7H5MkPXzDHZIoCywvPdJ62HGNhJq+x9/c8Zok6dgW/z5kkmxDi0hZoCT9sNUNvsOSkswC/TxPP6E6NSipjkfGxJdKf7JnD8cVD5o9INs17GBjtV/vaAbeUifELW/TJ5KkFf3SbOzlvYd9x/VrbMrUO7dxJU6Ne5hGPqOnL7GxlZ4mF4M3hJcjUCIYqEijsuHtf2ljt80bIEkau+xRG/vLW+ElCtu+9Z4sSbr1V27JyTvL/mnHx9aYcuoaSYmeU2iMVh5CdRpKktr8c5WNDT+wS5K0/7bbbCxjpWnY9MBbm2yseaa7fuNH9JIkJfxyvI0ltHTlhJWNDBYAAAAABIQbLAAAAAAISJUoEfRqULOxL3bfVWPseOjlZi+l9hk/sbEDK0wJ27DF02zsvTtekEQKuCx+fH1nSdJzK1yJ4GMZpnuWd28sNTLdlZ7pOTHu1zid77oFzc1c7nu8b+vr4n5OSHn5rgvnE2ufkiTNXPSOjR3wXFOreW077NavkyTpzVuesLGUpLq+UxCcPhe7subEBP9b98e71ppBlM5YkjTmvlslRS8L3HIoy45zD4S7pp12P8OZ2abkaVDbn8Y3aRStsXlvrJla34ayJs6z4wvqto7r6Zp1dXvITO7yYBknd+7JW+RK18fdOVmSdNyz59xFtczP1ZgMtydVAwGqAAAJtklEQVRj4p33SZJCKe4aFRw+IEnqP9t1y33L021wevpfJUm/7drLPU/nvmX/D4BP01rnSSq8R98Lvc3vt3z5y9q95dUdt95ix1sVpeMqKkyoSStJUrN/fGxjM46YZQsnf+vKeN9/y+1jNvrxTEnS3S+vtLGrpw+XJCXe4spIKwsZLAAAAAAISJXLYBWnYTjD1aplUxs7IPNp/MZNO2wssqC/cbLb8wDxGdrefPrznF5zwZPhT889e2OlDTPNLerVbBj3a1zz9EA73hfOqlw7yGWterb6UdzPWd3knHb7gzy7/n8lSZsPuCYw8x7/W8xza13Z3I7X/s4t3L+w7sVBTrFay807YcfZX8doUBHDKc8+ZWu/+sp/QC2Xob+iqVn8u/nQehsb8a7JQC7PXO3O2W2+Xxp0amVDT5Ui+3wu6t+muyRpVurbLljMXlYRrfuYDGSHdhfZ2IB2XSRJA9sE0wyhZs0adsxej34fj3IZ90jm6nfXuO/z5s+Ypj6JHXsW+Tyh+k0kSS1qeZvNuO+DnbnhCoEd29zDZLAqTCTDX1x9UoG30iY8LhRDpQrVM3/PJ89aaGM35Lq/Zzr0Mj+nU9bstrGP7jH7DI7I/peNJd3/eLnOMxYyWAAAAAAQEG6wAAAAACAg51yJ4DPrnpEkrXt3ne+xjldeYseUBpbdBXXDC6rDTSwkSQci5U4uzX5L26LLLSJO5Ll9XbrMGixJ2rZkg/cFJUnzB/y3DdWMsh9QdebdH+7Z9c9KkiYteNXGou0PF+EtB5w8yDSJuf1StydFZDExgrX7+L/teOVfPo153JOeJiTv/svsC3L8mPuZWTX/M/9JCa5Ud+66jyRJaa+6/WJ0+NSZZ9jSwKyHXrGxejUaxJxXdRJpEJL5iHvP6zPkHv+BDcz70sLpbh+5zs1NU6CmtVqU4wwRTd7bcyRJb+w/YmPnJ5sCshaLF9lYqAF/F1QnIc9Shsiyhh5dr6yk2aAkQsmu9Pn8D8zvtAe7d7OxqWtNueDc6W7pw5ABd0uSEi5y+wlWBDJYAAAAABCQQDNYkQXX6Z9OsbHMrC2SpK7fdYvip3V7WFLpsg+R1zh6yu24/rdsd6c6dtIsMzh+Wmd6oveIuF8PsUWygE+PH2ljI++fbgaeT4b6ZZhdth8Y7D6dT6nhWn4vXG12U9+01bUGP5llFvsnXeGalax/eK4kqUVKaiDzP5d8fnirJGnGqtk29uKMN0p0boebr5YkffjzP9pYcmKt4CaHIjVKbuLG15rv7YOf7fQdt/eTL6KOi+R5H1w254OYhzW/zrX3zhpnWkyTtYrt++ddb8f7F6/2PR6Sef9LSapTYXNCbAWffSJJOpHvKit+1Sn8e6Sef+sXVF9tGzcp/iCcFUJJpqlPq6Xud9uoa7tKkp7ats/G+g42bd7P/yh2hUh5IIMFAAAAAAHhBgsAAAAAAhJoieDopRMkRS9NWidXRvF/d+6SJF1zgdt/IlI2WCNK2eB7O5fY8cKt78d8jeJcXK9t3OegeGmXD7Pjke1eMIMth9wB200557T0edGfILLvhKessMtgk+bNvP15G0tKOOd6sgRmzoaXJZXu52L9x5slSStvXGFjjZLj37OsKJc2uNyOI3vQfZ3j37fpikZXBfq6VUFk7z5J2vSQKc+79sm7bOz0aVPmt/vLve6kL46W/gWbuPLPtp1M6faHw+fYGKWBxfMujq+TVLcSZ4ISqWuukafni8YvN2W2T+9w+8KppdkrLlS7XoVNDUDZhGq632mXjDb7s2rEH2zso+yDkqSBqlhksAAAAAAgIIGmBMZ2NgvJ/thuqY0VbD7kO+7TP5sFp97lZrMahVulhnyHS0c8rYTzS7bLdtsb3Cfm0348VJKUnFg71uEIyJdTTAblwlH9XXDXsRhHF5Z0uVtcGslckbUqmcfSTQar0Ee0JbXXtPruM/TeAGdU2PU/d00B1qw1O6x/u2qX77ict7eU2xyqggbhbNaWsYt8j20+5D5pv/qe283gqL+ZT3FemTTBjm9ufWvc5wNVTdJvZkqSWme8aWPbc8zfFSM7/JeN9WlkWkD/qJfb0iV5oPlEPHfBQt/zZh09HvxkARRSUOD5u/+Eq96IlmlOuOPXkqQ+E/5kY9tyTHO8/D3b3XHhbHV5IoMFAAAAAAHhBgsAAAAAAhJo/VXrcBOJDZ5mBl1nmLKjw55Uev6mg/6TD+bGfmJvejAUpQSqldtrZEn6o5Kkzs272FgKi5ArTLPaLSVJWY+9YmNzN86XJD33zlIbO5Hryj4jO6fP7DnGxigNjM/fXzQLOn+z+LlSP8e6JWvdP3LyyjqlQj6YHXsPJklq0uXCQF/vXNSuoduFPmfBhkqcCVA1jRp3kx0/kP6apMJ7Y2UeNH+nZL62zp3kHRfBW539SHfTPCb0vd6lnSqAiDxXCr+obSc7Tq2dLEm68lbXHCt0mVkelJLg8kefnzDnn5x4v43Vej7+hmDxIoMFAAAAAAEplzRBa0879D3p/5AkfZPrdlV+43Oz0PR/lv7dxjYu8nx6fiZvX4vwp0R9f+E+GZra/Rd27P2UF5WnTf3v2nF6l4mFviJ4P2jZU5L06bCepX6OzP94246Pn87xPf7rP7uW+V8tz47ruWdMG2XHqfVa+B7v1uIHcT0fAL8Hbryp+IOqsUizC0l6tO8ASVLBy+59beYflkmSdpwoWfOYKT3dQvk6N7pGPkn3pJdpngA8Et2tSr/fD7LjOePnSpJmP/W+jeXLjKNlj/KOniif+cVABgsAAAAAAsINFgAAAAAEpMI6CTRObmbHQy9LK/RVkjS8omYCIJo+qf2KfPym8QMqaCYASmNIu7srewpVRmL7bmYwpZuNjZ1SSZPBWeP9jVvdP7pW3jzghDzN7ZLSHrbjYQNME728xx+ysQ/mrpAkLdx/xMbuTTX7S6bMXlCu8zwTGSwAAAAACAi9sAEAqCJy/lREQygAZbI9e3dlTwElFGpkGmYlTZ5jYz+cHP5aGRM6AxksAAAAAAgIN1gAAAAAEBBKBAEAAFCtvD4kw45/kjxBkjS1P41iEAwyWAAAAAAQEDJYAAAAqFYurn+pHa+8d34lzgTnIjJYAAAAABAQbrAAAAAAICChgoKCkh8cCu2T9EX5TadK+05BQUGzyp7EmbhmReKaVT1cs6qHa1b1nJXXTOK6FYFrVjWdldeNa1akEl2zuG6wAAAAAACxUSIIAAAAAAHhBgsAAAAAAsINFgAAAAAEhBssAAAAAAgIN1gAAAAAEBBusAAAAAAgINxgAQAAAEBAuMECAAAAgIBwgwUAAAAAAfl/KGa2Y+Ja1BIAAAAASUVORK5CYII=\n",
- "text/plain": [
- ""
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- }
- ],
+ "outputs": [],
"source": [
"# How many numbers to display.\n",
"numbers_to_display = 64\n",