diff --git a/Tutorial.ipynb b/Tutorial.ipynb index 9a216ea..23439b5 100644 --- a/Tutorial.ipynb +++ b/Tutorial.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 1, + "execution_count": 118, "metadata": {}, "outputs": [], "source": [ @@ -56,7 +56,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 119, "metadata": {}, "outputs": [ { @@ -162,7 +162,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 120, "metadata": {}, "outputs": [ { @@ -174,7 +174,7 @@ "x**3" ] }, - "execution_count": 3, + "execution_count": 120, "metadata": {}, "output_type": "execute_result" } @@ -202,16 +202,16 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 121, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 4, + "execution_count": 121, "metadata": {}, "output_type": "execute_result" }, @@ -244,7 +244,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 122, "metadata": {}, "outputs": [ { @@ -256,7 +256,7 @@ "3*x**2" ] }, - "execution_count": 5, + "execution_count": 122, "metadata": {}, "output_type": "execute_result" } @@ -268,7 +268,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 123, "metadata": {}, "outputs": [ { @@ -333,7 +333,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 124, "metadata": {}, "outputs": [ { @@ -345,7 +345,7 @@ "cos(x**2)" ] }, - "execution_count": 7, + "execution_count": 124, "metadata": {}, "output_type": "execute_result" } @@ -368,7 +368,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 125, "metadata": {}, "outputs": [ { @@ -380,7 +380,7 @@ "-2*x*sin(x**2)" ] }, - "execution_count": 8, + "execution_count": 125, "metadata": {}, "output_type": "execute_result" } @@ -453,7 +453,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 126, "metadata": {}, "outputs": [ { @@ -465,7 +465,7 @@ "243*x**2 + 729*x + 81*(x**2 + 3*x + 4)**2 + 27*(3*x**2 + 9*x + (x**2 + 3*x + 4)**2 + 16)**2 + 9*(9*x**2 + 27*x + 3*(x**2 + 3*x + 4)**2 + (3*x**2 + 9*x + (x**2 + 3*x + 4)**2 + 16)**2 + 52)**2 + 3*(27*x**2 + 81*x + 9*(x**2 + 3*x + 4)**2 + 3*(3*x**2 + 9*x + (x**2 + 3*x + 4)**2 + 16)**2 + (9*x**2 + 27*x + 3*(x**2 + 3*x + 4)**2 + (3*x**2 + 9*x + (x**2 + 3*x + 4)**2 + 16)**2 + 52)**2 + 160)**2 + (81*x**2 + 243*x + 27*(x**2 + 3*x + 4)**2 + 9*(3*x**2 + 9*x + (x**2 + 3*x + 4)**2 + 16)**2 + 3*(9*x**2 + 27*x + 3*(x**2 + 3*x + 4)**2 + (3*x**2 + 9*x + (x**2 + 3*x + 4)**2 + 16)**2 + 52)**2 + (27*x**2 + 81*x + 9*(x**2 + 3*x + 4)**2 + 3*(3*x**2 + 9*x + (x**2 + 3*x + 4)**2 + 16)**2 + (9*x**2 + 27*x + 3*(x**2 + 3*x + 4)**2 + (3*x**2 + 9*x + (x**2 + 3*x + 4)**2 + 16)**2 + 52)**2 + 160)**2 + 484)**2 + 1456" ] }, - "execution_count": 9, + "execution_count": 126, "metadata": {}, "output_type": "execute_result" } @@ -496,7 +496,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 127, "metadata": {}, "outputs": [ { @@ -508,7 +508,7 @@ "486*x + 81*(4*x + 6)*(x**2 + 3*x + 4) + 27*(12*x + 2*(4*x + 6)*(x**2 + 3*x + 4) + 18)*(3*x**2 + 9*x + (x**2 + 3*x + 4)**2 + 16) + 9*(36*x + 6*(4*x + 6)*(x**2 + 3*x + 4) + 2*(12*x + 2*(4*x + 6)*(x**2 + 3*x + 4) + 18)*(3*x**2 + 9*x + (x**2 + 3*x + 4)**2 + 16) + 54)*(9*x**2 + 27*x + 3*(x**2 + 3*x + 4)**2 + (3*x**2 + 9*x + (x**2 + 3*x + 4)**2 + 16)**2 + 52) + 3*(108*x + 18*(4*x + 6)*(x**2 + 3*x + 4) + 6*(12*x + 2*(4*x + 6)*(x**2 + 3*x + 4) + 18)*(3*x**2 + 9*x + (x**2 + 3*x + 4)**2 + 16) + 2*(36*x + 6*(4*x + 6)*(x**2 + 3*x + 4) + 2*(12*x + 2*(4*x + 6)*(x**2 + 3*x + 4) + 18)*(3*x**2 + 9*x + (x**2 + 3*x + 4)**2 + 16) + 54)*(9*x**2 + 27*x + 3*(x**2 + 3*x + 4)**2 + (3*x**2 + 9*x + (x**2 + 3*x + 4)**2 + 16)**2 + 52) + 162)*(27*x**2 + 81*x + 9*(x**2 + 3*x + 4)**2 + 3*(3*x**2 + 9*x + (x**2 + 3*x + 4)**2 + 16)**2 + (9*x**2 + 27*x + 3*(x**2 + 3*x + 4)**2 + (3*x**2 + 9*x + (x**2 + 3*x + 4)**2 + 16)**2 + 52)**2 + 160) + (324*x + 54*(4*x + 6)*(x**2 + 3*x + 4) + 18*(12*x + 2*(4*x + 6)*(x**2 + 3*x + 4) + 18)*(3*x**2 + 9*x + (x**2 + 3*x + 4)**2 + 16) + 6*(36*x + 6*(4*x + 6)*(x**2 + 3*x + 4) + 2*(12*x + 2*(4*x + 6)*(x**2 + 3*x + 4) + 18)*(3*x**2 + 9*x + (x**2 + 3*x + 4)**2 + 16) + 54)*(9*x**2 + 27*x + 3*(x**2 + 3*x + 4)**2 + (3*x**2 + 9*x + (x**2 + 3*x + 4)**2 + 16)**2 + 52) + 2*(108*x + 18*(4*x + 6)*(x**2 + 3*x + 4) + 6*(12*x + 2*(4*x + 6)*(x**2 + 3*x + 4) + 18)*(3*x**2 + 9*x + (x**2 + 3*x + 4)**2 + 16) + 2*(36*x + 6*(4*x + 6)*(x**2 + 3*x + 4) + 2*(12*x + 2*(4*x + 6)*(x**2 + 3*x + 4) + 18)*(3*x**2 + 9*x + (x**2 + 3*x + 4)**2 + 16) + 54)*(9*x**2 + 27*x + 3*(x**2 + 3*x + 4)**2 + (3*x**2 + 9*x + (x**2 + 3*x + 4)**2 + 16)**2 + 52) + 162)*(27*x**2 + 81*x + 9*(x**2 + 3*x + 4)**2 + 3*(3*x**2 + 9*x + (x**2 + 3*x + 4)**2 + 16)**2 + (9*x**2 + 27*x + 3*(x**2 + 3*x + 4)**2 + (3*x**2 + 9*x + (x**2 + 3*x + 4)**2 + 16)**2 + 52)**2 + 160) + 486)*(81*x**2 + 243*x + 27*(x**2 + 3*x + 4)**2 + 9*(3*x**2 + 9*x + (x**2 + 3*x + 4)**2 + 16)**2 + 3*(9*x**2 + 27*x + 3*(x**2 + 3*x + 4)**2 + (3*x**2 + 9*x + (x**2 + 3*x + 4)**2 + 16)**2 + 52)**2 + (27*x**2 + 81*x + 9*(x**2 + 3*x + 4)**2 + 3*(3*x**2 + 9*x + (x**2 + 3*x + 4)**2 + 16)**2 + (9*x**2 + 27*x + 3*(x**2 + 3*x + 4)**2 + (3*x**2 + 9*x + (x**2 + 3*x + 4)**2 + 16)**2 + 52)**2 + 160)**2 + 484) + 729" ] }, - "execution_count": 10, + "execution_count": 127, "metadata": {}, "output_type": "execute_result" } @@ -537,7 +537,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 128, "metadata": {}, "outputs": [ { @@ -551,7 +551,7 @@ " [729*x + 243*x0 + 81*x1 + 27*x2 + 9*x3 + 3*x4 + (243*x + 81*x0 + 27*x1 + 9*x2 + 3*x3 + x4 + 484)**2 + 1456])" ] }, - "execution_count": 11, + "execution_count": 128, "metadata": {}, "output_type": "execute_result" } @@ -583,7 +583,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 129, "metadata": {}, "outputs": [ { @@ -593,8 +593,8 @@ "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[0;31mTypeError\u001b[0m Traceback (most recent call last)", - "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 5\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0mx\u001b[0m\u001b[0;34m**\u001b[0m\u001b[0;36m3\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 6\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 7\u001b[0;31m \u001b[0msymbolic_result\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mfunc\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0msymbolic_x\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", - "\u001b[0;32m\u001b[0m in \u001b[0;36mfunc\u001b[0;34m(x)\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0mfunc\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mx\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----> 2\u001b[0;31m \u001b[0;32mif\u001b[0m \u001b[0mx\u001b[0m \u001b[0;34m>\u001b[0m \u001b[0;36m2\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 3\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0mx\u001b[0m\u001b[0;34m**\u001b[0m\u001b[0;36m2\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 4\u001b[0m \u001b[0;32melse\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[0;32mreturn\u001b[0m \u001b[0mx\u001b[0m\u001b[0;34m**\u001b[0m\u001b[0;36m3\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 5\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0mx\u001b[0m\u001b[0;34m**\u001b[0m\u001b[0;36m3\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 6\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 7\u001b[0;31m \u001b[0msymbolic_result\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mfunc\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0msymbolic_x\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", + "\u001b[0;32m\u001b[0m in \u001b[0;36mfunc\u001b[0;34m(x)\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0mfunc\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mx\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----> 2\u001b[0;31m \u001b[0;32mif\u001b[0m \u001b[0mx\u001b[0m \u001b[0;34m>\u001b[0m \u001b[0;36m2\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 3\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0mx\u001b[0m\u001b[0;34m**\u001b[0m\u001b[0;36m2\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 4\u001b[0m \u001b[0;32melse\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[0;32mreturn\u001b[0m \u001b[0mx\u001b[0m\u001b[0;34m**\u001b[0m\u001b[0;36m3\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", "\u001b[0;32m~/Code/pyhep2020-autodiff-tutorial/venv/lib/python3.7/site-packages/sympy/core/relational.py\u001b[0m in \u001b[0;36m__nonzero__\u001b[0;34m(self)\u001b[0m\n\u001b[1;32m 382\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 383\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0m__nonzero__\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\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--> 384\u001b[0;31m \u001b[0;32mraise\u001b[0m \u001b[0mTypeError\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"cannot determine truth value of Relational\"\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 385\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 386\u001b[0m \u001b[0m__bool__\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0m__nonzero__\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", "\u001b[0;31mTypeError\u001b[0m: cannot determine truth value of Relational" ] @@ -619,7 +619,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 130, "metadata": {}, "outputs": [ { @@ -654,7 +654,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 131, "metadata": {}, "outputs": [ { @@ -816,7 +816,7 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 132, "metadata": {}, "outputs": [ { @@ -872,7 +872,7 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 133, "metadata": {}, "outputs": [ { @@ -968,7 +968,7 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 134, "metadata": {}, "outputs": [], "source": [ @@ -988,7 +988,7 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 135, "metadata": {}, "outputs": [ { @@ -1104,7 +1104,7 @@ }, { "cell_type": "code", - "execution_count": 150, + "execution_count": 136, "metadata": {}, "outputs": [ { @@ -1140,7 +1140,7 @@ }, { "cell_type": "code", - "execution_count": 151, + "execution_count": 137, "metadata": {}, "outputs": [], "source": [ @@ -1177,7 +1177,7 @@ }, { "cell_type": "code", - "execution_count": 152, + "execution_count": 138, "metadata": {}, "outputs": [ { @@ -1203,7 +1203,7 @@ }, { "cell_type": "code", - "execution_count": 155, + "execution_count": 139, "metadata": {}, "outputs": [], "source": [ @@ -1244,7 +1244,7 @@ }, { "cell_type": "code", - "execution_count": 156, + "execution_count": 140, "metadata": {}, "outputs": [ { @@ -1390,7 +1390,7 @@ }, { "cell_type": "code", - "execution_count": 260, + "execution_count": 141, "metadata": {}, "outputs": [], "source": [ @@ -1400,7 +1400,7 @@ }, { "cell_type": "code", - "execution_count": 261, + "execution_count": 142, "metadata": {}, "outputs": [], "source": [ @@ -1417,7 +1417,7 @@ }, { "cell_type": "code", - "execution_count": 262, + "execution_count": 143, "metadata": {}, "outputs": [], "source": [ @@ -1427,7 +1427,7 @@ }, { "cell_type": "code", - "execution_count": 263, + "execution_count": 144, "metadata": {}, "outputs": [ { @@ -1436,8 +1436,8 @@ "text": [ "[3 5 7]\n", "[ 2 6 12]\n", - "[0. 0.6931472 1.0986123]\n", - "[ 7.389056 20.085537 54.598152]\n" + "[0. 0.69314718 1.09861229]\n", + "[ 7.3890561 20.08553692 54.59815003]\n" ] } ], @@ -1450,7 +1450,7 @@ }, { "cell_type": "code", - "execution_count": 267, + "execution_count": 145, "metadata": {}, "outputs": [], "source": [ @@ -1460,7 +1460,7 @@ }, { "cell_type": "code", - "execution_count": 268, + "execution_count": 146, "metadata": {}, "outputs": [ { @@ -1485,16 +1485,16 @@ }, { "cell_type": "code", - "execution_count": 269, + "execution_count": 147, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "[]" + "[]" ] }, - "execution_count": 269, + "execution_count": 147, "metadata": {}, "output_type": "execute_result" }, @@ -1520,7 +1520,7 @@ }, { "cell_type": "code", - "execution_count": 270, + "execution_count": 148, "metadata": {}, "outputs": [ { @@ -1530,7 +1530,7 @@ "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[0;31mTypeError\u001b[0m Traceback (most recent call last)", - "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mjax\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mgrad\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mf\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mxi\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", + "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mjax\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mgrad\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mf\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mxi\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", "\u001b[0;32m~/Code/pyhep2020-autodiff-tutorial/venv/lib/python3.7/site-packages/jax/api.py\u001b[0m in \u001b[0;36mgrad_f\u001b[0;34m(*args, **kwargs)\u001b[0m\n\u001b[1;32m 411\u001b[0m \u001b[0;34m@\u001b[0m\u001b[0mwraps\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mfun\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdocstr\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mdocstr\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0margnums\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0margnums\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 412\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0mgrad_f\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0margs\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m**\u001b[0m\u001b[0mkwargs\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--> 413\u001b[0;31m \u001b[0m_\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mg\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mvalue_and_grad_f\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0margs\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m**\u001b[0m\u001b[0mkwargs\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 414\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0mg\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 415\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n", "\u001b[0;32m~/Code/pyhep2020-autodiff-tutorial/venv/lib/python3.7/site-packages/jax/api.py\u001b[0m in \u001b[0;36mvalue_and_grad_f\u001b[0;34m(*args, **kwargs)\u001b[0m\n\u001b[1;32m 472\u001b[0m \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 473\u001b[0m \u001b[0mans\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mvjp_py\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0maux\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0m_vjp\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mf_partial\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m*\u001b[0m\u001b[0mdyn_args\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mhas_aux\u001b[0m\u001b[0;34m=\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--> 474\u001b[0;31m \u001b[0m_check_scalar\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mans\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 475\u001b[0m \u001b[0mdtype\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mdtypes\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mresult_type\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mans\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 476\u001b[0m \u001b[0mtree_map\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mpartial\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0m_check_output_dtype_grad\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mholomorphic\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mans\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", "\u001b[0;32m~/Code/pyhep2020-autodiff-tutorial/venv/lib/python3.7/site-packages/jax/api.py\u001b[0m in \u001b[0;36m_check_scalar\u001b[0;34m(x)\u001b[0m\n\u001b[1;32m 493\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0misinstance\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0maval\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mShapedArray\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 494\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0maval\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mshape\u001b[0m \u001b[0;34m!=\u001b[0m \u001b[0;34m(\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--> 495\u001b[0;31m \u001b[0;32mraise\u001b[0m \u001b[0mTypeError\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mmsg\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"had shape: {}\"\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mformat\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0maval\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mshape\u001b[0m\u001b[0;34m)\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 496\u001b[0m \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 497\u001b[0m \u001b[0;32mraise\u001b[0m \u001b[0mTypeError\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mmsg\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"had abstract value {}\"\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mformat\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0maval\u001b[0m\u001b[0;34m)\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", @@ -1551,28 +1551,32 @@ }, { "cell_type": "code", - "execution_count": 271, + "execution_count": 149, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "DeviceArray([7.5000000e+01, 6.9002502e+01, 6.3254898e+01, 5.7757195e+01,\n", - " 5.2509369e+01, 4.7511448e+01, 4.2763428e+01, 3.8265301e+01,\n", - " 3.4017075e+01, 3.0018740e+01, 2.6270306e+01, 2.2771765e+01,\n", - " 1.9523119e+01, 1.6524368e+01, 1.3775513e+01, 1.1276554e+01,\n", - " 9.0274925e+00, 7.0283189e+00, 5.2790489e+00, 3.7796750e+00,\n", - " 2.5301948e+00, 1.5306119e+00, 7.8092462e-01, 2.8113258e-01,\n", - " 3.1236956e-02, 3.1236956e-02, 2.8113258e-01, 7.8092390e-01,\n", - " 1.5306127e+00, 2.5301960e+00, 3.7796750e+00, 5.2790489e+00,\n", - " 7.0283189e+00, 9.0274849e+00, 1.1276556e+01, 1.3775515e+01,\n", - " 1.6524368e+01, 1.9523119e+01, 2.2771765e+01, 2.6270306e+01,\n", - " 3.0018745e+01, 3.4017075e+01, 3.8265305e+01, 4.2763428e+01,\n", - " 4.7511448e+01, 5.2509354e+01, 5.7757195e+01, 6.3254898e+01,\n", - " 6.9002502e+01, 7.5000000e+01], dtype=float32)" + "DeviceArray([7.50000000e+01, 6.90024990e+01, 6.32548938e+01,\n", + " 5.77571845e+01, 5.25093711e+01, 4.75114536e+01,\n", + " 4.27634319e+01, 3.82653061e+01, 3.40170762e+01,\n", + " 3.00187422e+01, 2.62703040e+01, 2.27717618e+01,\n", + " 1.95231154e+01, 1.65243648e+01, 1.37755102e+01,\n", + " 1.12765514e+01, 9.02748855e+00, 7.02832153e+00,\n", + " 5.27905040e+00, 3.77967514e+00, 2.53019575e+00,\n", + " 1.53061224e+00, 7.80924615e-01, 2.81132861e-01,\n", + " 3.12369846e-02, 3.12369846e-02, 2.81132861e-01,\n", + " 7.80924615e-01, 1.53061224e+00, 2.53019575e+00,\n", + " 3.77967514e+00, 5.27905040e+00, 7.02832153e+00,\n", + " 9.02748855e+00, 1.12765514e+01, 1.37755102e+01,\n", + " 1.65243648e+01, 1.95231154e+01, 2.27717618e+01,\n", + " 2.62703040e+01, 3.00187422e+01, 3.40170762e+01,\n", + " 3.82653061e+01, 4.27634319e+01, 4.75114536e+01,\n", + " 5.25093711e+01, 5.77571845e+01, 6.32548938e+01,\n", + " 6.90024990e+01, 7.50000000e+01], dtype=float64)" ] }, - "execution_count": 271, + "execution_count": 149, "metadata": {}, "output_type": "execute_result" } @@ -1593,22 +1597,22 @@ }, { "cell_type": "code", - "execution_count": 272, + "execution_count": 150, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 272, + "execution_count": 150, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": "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\n", + "image/png": "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\n", "text/plain": [ "
" ] @@ -1647,22 +1651,22 @@ }, { "cell_type": "code", - "execution_count": 284, + "execution_count": 151, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 284, + "execution_count": 151, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": "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\n", + "image/png": "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\n", "text/plain": [ "
" ] @@ -1714,22 +1718,22 @@ }, { "cell_type": "code", - "execution_count": 288, + "execution_count": 152, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 288, + "execution_count": 152, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": "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\n", + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXkAAAD4CAYAAAAJmJb0AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+WH4yJAAAgAElEQVR4nO3de3zP9f//8dvT27KR86kxxbcvxVjb7KskZUnsgCEjosKnnFMhckhnRciH8pMyOSSHmdnB2cexPkwO+WCixKYyy5ZpY4fn748dPsM2m71f79fe7z2ul4vL9n69X6/X8/5me3i+n6/n+/lSWmuEEEI4pgpmBxBCCGEcKfJCCOHApMgLIYQDkyIvhBAOTIq8EEI4sIpmB8ivTp06unHjxmbHEEIIu3Lw4MFLWuu6BT1Xpop848aNiYmJMTuGEELYFaXUr4U9J8M1QgjhwKTICyGEA5MiL4QQDkyKvBBCODAp8kII4cCkyAshhAOTIi+EEA5MirwQJomMjOTIkSNmxxAOToq8ECZYvXo1gYGBfPjhh2ZHEQ5OirwQNrZnzx4GDBgAQEpKislphKMrU8saCOHoYmNj6d69O/feey933XUXqampZkcSDk568kLYyB9//IGfnx8Wi4Xo6GgaNGjA33//bXYs4eCkyAthA1evXiUwMJDff/+diIgI7r//flxcXKQnLwwnwzVCGCwjI4O+ffvyww8/sG7dOtq0aQNA5cqVpScvDCdFXggDaa0ZNWoUERERzJ8/n27duuU9Jz15YQsyXCOEgT7++GMWLFjAuHHjGD58+A3PSU9e2IIUeSEMsmLFCiZMmEDfvn2ZPn36Lc9LT17YghR5IQywc+dOXnzxRR5//HFCQkKoUOHWX7XKlSuTmpqK1tqEhKK8kCIvhJUdP36coKAg7r//fsLCwqhUqVKB+7m4uACQlpZmy3iinJEiL4QV/fbbb/j5+eHs7ExUVBQ1a9YsdN/KlSsDyLi8MJTMrhHCSq5cuUJAQACJiYns2rWLxo0bF7l/bk9exuWFkazSk1dKfaWUuqiUOpZvWy2l1Bal1E85Xwvv0ghh59LT0wkODubo0aOsXr0ab2/v2x4jPXlhC9YargkButy0bQKwTWvdFNiW81gIh6O1Zvjw4WzcuJEFCxbg5+dXrOOkJy9swSpFXmu9C/jzps3dgSU53y8BgqzRlhBlzfvvv8+iRYuYPHkyQ4YMKfZx0pMXtmDkhdf6Wuvfcr7/Hahf0E5KqZeUUjFKqZiEhAQD4whhfV9//TVTpkxhwIABvPPOOyU6VnrywhZsMrtGZ08ELnAysNZ6odbaR2vtU7duXVvEEcIqtm3bxpAhQ+jYsSOLFi1CKVWi46UnL2zByCL/h1LKFSDn60UD2xLCpo4ePUrPnj158MEHWbt2LXfddVeJzyE9eWELRhb5cOD5nO+fB9Yb2JYQNhMXF4e/vz9Vq1YlKiqK6tWr39F5pCcvbMEq8+SVUt8AHYA6Sqk44C1gOrBKKTUY+BUItkZbQpgpOTkZf39//vrrL/bs2YObm9sdn0t68sIWrFLktdbPFvJUR2ucX4iy4Pr16/Tq1YsTJ04QFRWFh4dHqc4nPXlhC7KsgRC3EXYonkc/3Eat1n5s27aNYZM/plOnTqU+r/TkhS1IkReiCGGH4pkY+iPHIxZx9dh2qj/Wny0ZzQk7FF/qczs5OWGxWKQnLwwlRV6IIszYFMvFmGiS962kSqtOVH+0L6npmczYFFvqcyulZE15YTgp8kIU4fQPe/hz0zycm3hTu/OIvLnwF5KsU5jl7lDCaFLkhSjEoUOHuLR+Ok51G1O3+wSU5b/zFBrUcLFKG9KTF0aTpYaFKMCvv/6Kv78/tWrVpHqfd8ioVDnvORcnC+M6P2CVdqQnL4wmRV6Im1y+fBk/Pz9SU1PZu3cvP12vwYxNsVxISqVBDRfGdX6AIK+GVmlLevLCaFLkhcjn2rVr9OjRg9OnT7Np0ybc3d1xB6sV9ZtJT14YTYq8EDmysrIYNGgQO3fuZPny5fj6+hrepouLC1euXDG8HVF+yYVXIXJMmjSJFStW8MEHH9CvXz+btCk9eWE0KfJCAAsWLGD69Om8/PLLTJhgu5uYyZi8MJoUeVHuRUREMGLECAIDA5k3b16J14UvDenJC6NJkRflWkxMDH369MHb25uVK1dSsaJtL1NJT14YTYq8KLd+/vlnAgICqFevHhEREVSpUsXmGaQnL4wmRV6US4mJifj7+5Oenk50dDT16xd4C2LDubi4kJaWRlZWlintC8cnRV6UO2lpaQQFBXH27FnCw8N58MEHTcuSu6Z8WlqaaRmEY5MiL8qVrKwsBg4cyJ49e/j666957LHHTM0ja8oLo0mRF+XKuHHjWL16NTNnziQ42Pw7UsrdoYTRpMiLcmPu3LnMmjWLUaNG8dprr5kdB5CevDCeFHlRLqxbt44xY8YQFBTE7NmzbToXvijSkxdGkyIvHN53331Hv379aNOmDcuXL8disZgdKY/05IXRpMgLh/bTTz/RtWtXGjZsyIYNG/J6zmWF9OSF0aTIC4eVkJCAn58fSimio6OpW7eu2ZFuIT15YTRZalg4pL///puuXbsSHx/P9u3badq0qdmRCpTbk5ciL4wiRV44nMzMTPr378/+/ftZu3Ytbdu2NTtSoXJ78jJcI4wiRV44FK01r776KmFhYcydO5cePXqYHalI0pMXRpMxeeFQZs+ezT//+U9ee+01Ro0aZXac25KevDCaFHnhMFavXs3rr79O7969mTFjhtlxikV68sJoUuSFQ9izZw8DBgygXbt2fP3111SoYB8/2k5OTlgsFunJC8PYx2+CEEWIjY2lW7duNG7cmPXr1+Ps7Gx2pBKpXLmy9OSFYaTIC7v2xx9/4Ofnh5OTE9HR0dSuXdvsSCXm4uIiPXlhGJldI+zW1atXCQwM5I8//mDnzp00adLE7Eh3RG4BKIxkeJFXSp0FrgCZQIbW2sfoNoXjy8jIoE+fPvzwww+sX78eHx/7/bGSWwAKI9mqJ++rtb5ko7aEg9NaM2rUKCIjI/n8888JDAw0O1KpSE9eGEmGa4RdCDsUz4xNsVxISiXrcBjnNi3ijTfeYOjQoWZHKzXpyQsj2eLCqwY2K6UOKqVeskF7wsGEHYpnYuiPxCelknL8X5zbtIhq7h1o03uE2dGsQnrywki2KPKPaa29AT9ghFLq8fxPKqVeUkrFKKViEhISbBBH2JsZm2JJTc8k7dxRLkXOoVKjltTo8gqfbPnJ7GhWIT15YSTDi7zWOj7n60VgHdDmpucXaq19tNY+ZXEpWGG+C0mpXE/4lYuh7+NU05W6PSejKjpxIckxer/SkxdGMrTIK6WqKKWq5n4PPA0cM7JN4XjqVLjKxdXTqFDxLur1fhuL890ANKjhYnIy65CevDCS0Rde6wPrcu6nWRFYobXeaHCbwoFcuXKFxNB30NdSqN9vOhWr1wPAxcnCuM4PmJzOOqQnL4xkaJHXWv8MPGRkG8Jxpaen07t3b86dPsmkOSFsS2nAhaRUGtRwYVznBwjyamh2RKuQnrwwkkyhFGWS1pqhQ4eyadMmFi1axODBz/GO2aEM4uLiQlpaGllZWXazsJqwH/ITJcqkd999l6+++oopU6YwePBgs+MYKne54bS0NJOTCEckRV6UOUuWLOGtt95i4MCBvP3222bHMZzczFsYSYq8KFO2bNnCkCFD6NixI1988QU5F+0dWm5PXsblhRGkyIsy4+jRo/Tq1YvmzZuzdu1a7rrrLrMj2YT05IWRpMiLMiEuLg5/f3+qVatGVFQU1atXNzuSzUhPXhhJZtcI0yUnJ+Pv78+VK1fYvXs3bm5uZkeyKenJCyNJkRemun79Or169eLEiRNER0fj4eFhdiSbk568MJIUeWEarTVDhgxh27ZthISE8NRTT5kdyRTSkxdGkjF5YZqpU6eydOlS3nnnHZ5//nmz45hGevLCSFLkhSm++OIL3nvvPQYNGsTkyZPNjmMq6ckLI0mRFzYXHR3NsGHD6Ny5MwsWLCgXc+GLIj15YSQp8sKmfvjhB3r37o2HhwerV6/GycnJ7Eimk568MJIUeWEzv/76KwEBAdSuXZvIyEiqVq1qdqQyQXrywkgyu0bYxOXLl/Hz8yMtLY1t27bh6upqdqQyw8nJCYvFIj15YQgp8sJw165do0ePHpw5c4bNmzfTokULsyOVObKmvDCKFHlhqKysLF588UV27tzJihUreOKJJ8yOVCYVdHeosEPxzNgUa/MbpZjVrpltO/JrliIvDPXmm2/yzTffMH36dJ599lmz45RZN/fkww7FMzH0R1LTMwGIT0plYuiPAIYWH7PaNbNtR3/NSmttlRNZg4+Pj46JiTE7hrCSzz//nOHDhzNs2DDmz59f7qdKFqVFixZUqlSJF154AYA5W0+RnJp+y37VXZwY81Qzw3LM2XqKRmmxdKxwmOoqhWR9N9uyPDnv/ICh7ea2bdZrNqPdm9u+656mOLtlD2U2rOHC3glPFvs8SqmDWmufAp+TIi+MsGHDBoKCgvD392fdunVUrChvGosSFBTE+vXrzY4hTFTt4Weo2eEFABTwy/SAYh9bVJGX3zxhdQcOHKBPnz54e3uzcuVKKfDFsHbtWv7666+8x13m7OJC8q23A2xQ3ZmNYx43LMcf072pT+Kt26lN/Qk/GNYumPeazWr35raV5b+/Jw1quFitDfntE1b1888/ExgYyD333ENERARVqlQxO5JdsFgs1KxZM+/xxCCfG8ZqAVycLEwManXDftZWw+UyiluH1WpwGWVgu5D9mves+4wxrKSBusQFXYc59OWxoOGGvmaz/q6Lantc5wes1oYUeWE1iYmJ+Pn5kZGRQXR0NPXr17feyY+ugm3vQHIcVHeDjlPBI9h65y9jgrwa0vB8BI1+mEE9ncBFVZfz3uP4P68uhrarqrtB8vmCtxssyLKXQKdFVMzM7tm6qUtMtyyiouUhwLh/69wLnGbMrrFF2zImL6wiNTWVTp06ERMTw9atW3nsscesd/Kjq2DDaEjPN8XQyQW6znXcQm/Wazbz73p2ywL/g6F6I3j1mLFt27mixuRlWQNRallZWQwcOJB9+/axdOlS6xZ4yO7Bp9/0adD01Oztjsqs1+wRnF3QqzcCVPZXW/1nmhxXsu3WdHRV9n8y02pkfz26yvg2bUSGa0SpjR07ljVr1vDJJ5/Qu3dv6zdg5i+/Wcx8zR7B5rxDKmSoCKOHim5+95J8PvsxOMQ7RenJi1L59NNPmT17NqNHj+bVV181ppHCfsltME5smvL4mjtOzR4ays/JJXu7kRz8naIUeXHHQkNDefXVV+nRowezZs0y7sNOZv3ym6k8vmazhorMfqdo8FCRDNeIEsldZ+PnYz9w8dtJNG3pxfLly7FYLMY1mvtLbtbsGjNm9pj9ms1ixlCRWcNEYJOhIpldI4ot7FA8e9Z9RrfEr+m5OJ6qLhb8XhjB08+Ns9liTjZXHmf2lDcOMKNIZtcIqzgcuZCRfy/gxW/iUQq29Hdm5t3LORy50OxoxnHw8VqBw88okuEaUWz9r35Nn5VJ/HZFs+P5yvxvrQrAdYZcXwa8bXY8Y5g9Xitsw4FnFElPXhRLZmYmY9fFcSA+ixW9XHjYLd86GxVuXevEYZTHWS7Cdmxwgd3wIq+U6qKUilVKnVZKTTC6PWF9WmvGjBlDeGwGc/2cCXrwxptvp7ncY1IyGyiPs1yE7dhgqMjQ4RqllAWYD3QC4oADSqlwrfVxI9sV1jVr1izmzZvH6wMDGfq/+yHzvyv2ZVicqeznwOPT5XWWi7Adg4eKjB6TbwOc1lr/DKCUWgl0B6TI24lVq1YxduxYgoOD+XjxN1Q4tuaGglexPBQ8s8ZrhbACo4t8QyD/VYU44OH8OyilXgJeArj33nsNjiNKYvfu3QwYMID27duzZMkSKlSoIAVPCDtj+oVXrfVCrbWP1tqnbt26ZscROU6ePEn37t1p0qQJYWFhODs7mx1JCHEHjC7y8UCjfI/dcraJMuz333/Hz88PJycnoqOjqVWrltmRhBB3yOjhmgNAU6VUE7KLe1+gn8FtilJISUkhMDCQixcvsnPnTpo0aWJ2JCFEKRha5LXWGUqpkcAmwAJ8pbX+j5FtijuXkZFB3759OXToEOvXr8fHp8BPSQsh7Ijhn3jVWkcBUUa3I0pHa82IESOIjIzk888/JzAw0OxIQggrMP3CqygbPvzwQxYuXMjEiRMZOnSo2XGEEFYiRV6wbNkyJk2aRL9+/XjvvffMjiOEsCIp8uXcjh07GDRoEB06dOCrr77KngsvhHAY8htdjh07doygoCCaNm1KaGgolSpVMjuSEMLKpMiXU/Hx8fj5+VGlShWio6OpWbOm2ZGEEAaQ9eTLob/++ouAgACSkpLYvXu3LCchhAOTIl/OpKen07t3b44dO0ZkZCSenp5mRxJCGEiKfDmitebll19m8+bNfPnll3Tu3NnsSEIIg8mYfDnyzjvvsHjxYqZOncqgQYPMjiOEsAEp8uVESEgI06ZN44UXXmDatGlmxxFC2IgU+XJg8+bN/OMf/6BTp04sXLgQpZTZkYQQNiJF3sEdOXKEZ555hhYtWrBmzRqcnJxuf5AQwmFIkbdHR1fB7JYwrUb216OrCtzt/Pnz+Pv7U716daKioqhWrZqNgwohzGb/s2uOripfN1k+ugo2jIb01OzHyeezH8MNrzspKQl/f39SUlLYs2cPDRs2NCGsEMJs9t2Tzy14yecB/d+CV0jP1iFse+e/BT5Xemr29hzXr1+nV69exMbGEhoaSqtWrWwcUghRVth3kS9GwXM4yXFFbtdaM3jwYLZv386iRYvo2LGjDcMJIcoa+y7ytyl4Dqm6W5Hbp0yZwrJly3j33XcZOHCgDYMJIcoi+y7ytyl4DqnjVHByuXGbkwt0nMoXX3zB+++/z5AhQ5g0aZI5+YQQZYp9F/kiCp7D8giGrnOheiNAZX/tOpeouLsZNmwYXbp04bPPPpO58EIIwN5n1+TOJjFrdo1ZM3s8gm9o5+DBgwQHP4GHhwerVq2SufBCiDz2XeThloJnM8Wcymi0s2fPEhAQQJ06dYiMjKRq1ao2a1sIUfbZf5E3S1Ezewwu8mGH4pmxKZbzv13k0jdvUCEtje3bt+Pq6mpou0II+2PfY/JmMmlmT9iheCaG/kjcpb+4uO59Uv+8QO2gNzl1rbqh7Qoh7JMU+Ttl0syeGZti+ft6OpciZ3Ht/DHq+L+KauDOjE2xhrYrhLBPUuTvlEkzey4kpZL0rxD+PrmbGh1eoEqLJ/K2CyHEzaTI36lCpjIaPR6vTmzir/2h3O0VQLU2vfK2N6jhUsRRQojySi68loaNZ/asX7+eXyPmc3fTh6n11Et5c+FdnCyM6/yAzXIIIeyH9OTtxP79+3n22Wdp3bo1X4Qsxa3W3SigYQ0XPuzZiiAvWWVSCHEr6cnbgTNnzhAYGIirqysRERHUq1ePvo82NTuWEMIOSE++jLt06RJ+fn5kZmYSHR1NvXr1zI4khLAj0pMvw1JTU+nevTvnzp1j27ZtNGvWzOxIQgg7I0W+jMrMzGTAgAF89913rF69mnbt2pkdSQhhhwwbrlFKTVNKxSulDuf88TeqLUc0duxY1q5dy6xZs+jVq9ftDxBCiAIY3ZOfrbWeaXAbDmfOnDnMmTOHV155hTFjxpgdRwhhx+TCaxmzdu1aXnvtNXr27Mknn3xidhwhhJ0zusiPVEodVUp9pZSqWdAOSqmXlFIxSqmYhIQEg+OUbXv37qV///488sgjLFu2DIvFYnYkIYSdU1rrOz9Yqa3APQU8NQn4HrgEaOBdwFVrPaio8/n4+OiYmJg7zmPPTp06Rdu2balduzb79u2jTp06ZkcSQtgJpdRBrbVPQc+Vakxea/1UMQN8AUSUpi1HdvHiRfz8/LBYLERHR0uBF0JYjWEXXpVSrlrr33Ie9gCOGdWWPbt69SqBgYH89ttv7Nixg/vvv9/sSEIIB2Lk7JqPlVKeZA/XnAVeNrAtu5SZmUm/fv04ePAgoaGhPPzww2ZHEkI4GMOKvNZ6gFHndgRaa0aPHk14eDjz5s2je/fuZkcSQjggmUJpkpkzZ/LZZ58xduxYRowYYXYcIYSDkiJvgm+//Zbx48fTp08fPvroI7PjCCEcmBR5G9u1axcDBw6kffv2hISEUKGC/BMIIYwjFcaGTpw4Qffu3fmf//kfwsLCcHZ2NjuSEMLBSZG3kd9++w0/Pz8qVapEdHQ0tWrVMjuSEKIckKWGbSAlJYXAwEASEhLYtWsXjRs3NjuSEKKckCJvsIyMDPr06cPhw4cJDw+ndevWZkcSQpQjUuQNpLVm+PDhREVFsWDBAgICAsyOJIQoZ2RM3kAffPABX3zxBW+++SYvvywf+BVC2J4UeYMsW7aMyZMn079/f9577z2z4wghyikp8gbYvn07gwYNwtfXl6+++gqllNmRhBDllBR5K/vxxx/p0aMHzZo1IzQ0lLvuusvsSEKIckyKvBXFx8fj7+9PlSpViIqKokaNGmZHEkKUczK7xkr++usv/P39SUpKYvfu3dx7771mRxJCCCnypRF2KJ4Zm2KJT7xCUti7pJw9TlRkJJ6enmZHE0IIQIr8HQs7FM/E0B/5+3oGiRvncfX0Qe4JfJW/67qbHU0IIfLImPwdmrEpltT0TJL3ruDqsa1Ub/csldw7MmNTrNnRhBAijxT5O3QhKZWUo5tJ3vsNVVo+RfV2/fK2CyFEWSFF/g65XDxG4sZ5ODf2onaXkXlz4RvUcDE5mRBC/JcU+Ttw+PBhfvn2XSrVa0zdoIkoS/alDRcnC+M6P2ByOiGE+C8p8iV07tw5/P39qVOrJvOXfEuj+rVRQMMaLnzYsxVBXg3NjiiEEHlkdk0JJCUl4e/vz9WrV9m7dy8tW7ZkcGezUwkhROGkyBfTtWvX6NmzJ6dOnWLjxo20bNnS7EhCCHFbUuSLQWvN4MGD2bFjB0uXLuXJJ580O5IQQhSLFPlimDx5MsuXL+e9997jueeeMzuOMEB6ejpxcXGkpaWZHUWIQjk7O+Pm5oaTk1Oxj5EifxsLFy7kgw8+4B//+Advvvmm2XGEQeLi4qhatSqNGzeWpaFFmaS1JjExkbi4OJo0aVLs42R2TREiIyMZNmwY/v7+fPbZZ/LL78DS0tKoXbu2/BuLMkspRe3atUv8blOKfCFiYmIIDg7G09OTb7/9looV5U2Po5MCL8q6O/kZlSJfgF9++YWAgADq1q1LREQEd999t9mRhBDijkiRv8mff/6Jn58f6enpREdH4+rqanYkUQ6cP38eX19fWrRogbu7O59++mmJz9GhQwdiYmKK3Odf//oXgYGBJTrvhQsXeOaZZ4q9f0xMDKNHjy5RG9YyZ84c/v777xIdExISwsiRIwFYsGABX3/9NQAnT57E09MTLy8vzpw5w9y5c2nevDn9+/e3em4jyRhEPmlpaQQFBfHLL7+wZcsWmjdvbnYkUUbl3kvgQlIqDWq4MK7zA6X6tHPFihX55JNP8Pb25sqVK7Ru3ZpOnTrRokULK6YuuYyMDBo0aMCaNWuKfYyPjw8+Pj4GpircnDlzeO6556hcufIdHT906NC878PCwnjmmWeYPHkyAJ999hlbt27Fzc3NKlltRXryObKysnj++efZvXs3S5Ys4fHHHzc7kiijcu8lEJ+Uigbik1KZGPojYYfi7/icrq6ueHt7A1C1alWaN29OfHz2+Tp06MAbb7xBmzZtaNasGbt37wYgNTWVvn370rx5c3r06EFqasEroG7cuJEHH3wQb29vQkND87ZfvXqVQYMG0aZNG7y8vFi/fj2Q3bPt1q0bTz75JB07duTs2bN5H/575JFH+M9//pN3joLePeR/t7B//37atm2Ll5cXjz76KLGx2Utxz549m0GDBgHZ90Vu2bLlLT3ws2fP0r59e7y9vfH29mbfvn23nB9g5MiRhISEMHfuXC5cuICvry++vr4AfPPNN7Rq1YqWLVvyxhtv5B2zePFimjVrRps2bdi7d2/e9mnTpjFz5kyioqKYM2cOn3/+Ob6+vgwdOpSff/4ZPz8/Zs+eXdg/Y9mktb7jP0Bv4D9AFuBz03MTgdNALNC5OOdr3bq1NsvYsWM1oD/++GPTMgjzHD9+vNj7PvrhNn3fGxG3/Hn0w21WyfLLL7/oRo0a6eTkZK211k888YR+7bXXtNZaR0ZG6o4dO2qttf7kk0/0iy++qLXW+siRI9pisegDBw7ccK7U1FTt5uamT506pbOysnTv3r11QECA1lrriRMn6qVLl2qttb58+bJu2rSpTklJ0YsXL9YNGzbUiYmJeXnc3d211lrPmjVLT506VWut9YULF3SzZs1uyb9jx468NpKTk3V6errWWustW7bonj17aq21zszM1O3bt9ehoaG6devWes+ePbec5+rVqzo1NVVrrfWpU6d0bn3If36ttR4xYoRevHix1lrr++67TyckJGittY6Pj9eNGjXSFy9e1Onp6drX11evW7dOX7hwIW/7tWvX9KOPPqpHjBihtdb6rbfe0jNmzLjl+5vPbaaCflaBGF1IXS3tcM0xoCfw//JvVEq1APoC7kADYKtSqpnWOrOU7Rli3rx5zJw5kxEjRjB27Fiz44gyrrB7BljjXgIpKSn06tWLOXPmUK1atbztPXv2BKB169acPXsWgF27duWNfXt4eODh4XHL+U6ePEmTJk1o2rQpAM899xwLFy4EYPPmzYSHhzNz5kwge7jy3LlzAHTq1IlatWrdcr7g4GCefvpp3n77bVatWnXbsfrk5GSef/55fvrpJ5RSpKenA1ChQgVCQkLw8PDg5Zdfpl27drccm56ezsiRIzl8+DAWi4VTp04V2dbNDhw4QIcOHahbty4A/fv3Z9euXQA3bO/Tp0+Jz21PSlXktdYnoMBpPd2BlVrra8AvSqnTQBvgu9K0Z4SwsDBGjx5N9+7d+fTTT2UanbitBjVciC+goJf2XgLp6en06tWL/v375xX1XJUqVQLAYrGQkZFRqnZyaVdBG9IAAA09SURBVK1Zu3YtDzxw4/LY//73v6lSpUqBxzRs2JDatWtz9OhRvv32WxYsWFBkG1OmTMHX15d169Zx9uxZOnTokPfcTz/9xN13382FCxcKPHb27NnUr1+fI0eOkJWVhbOzM5B9/SIrKytvP/mUctGMGpNvCJzP9zguZ9stlFIvKaVilFIxCQkJBsUp2L///W/69evH//3f/7FixQosFotN2xf2aVznB3BxuvFnpbT3EtA56yM1b96c1157rVjHPP7446xYsQKAY8eOcfTo0Vv2efDBBzl79ixnzpwBsseoc3Xu3Jl//vOfucOrHDp0qFjt9unTh48//pjk5OQC3z3kl5ycTMOG2b/6ISEhN2wfPXo0u3btIjExscALu8nJybi6ulKhQgWWLl1KZmb2QMB9993H8ePHuXbtGklJSWzbti3vmKpVq3LlyhUA2rRpw86dO7l06RKZmZl88803PPHEEzz88MPs3LmTxMRE0tPTWb16dbFet726bZFXSm1VSh0r4E93awTQWi/UWvtorX1y3z7ZwunTpwkMDMTV1ZUNGzbc8dV4Uf4EeTXkw56taFjDxWr3Eti7dy9Lly5l+/bteHp64unpSVRUVJHHDBs2jJSUFJo3b87UqVNp3br1Lfs4OzuzcOFCAgIC8Pb2pl69ennPTZkyhfT0dDw8PHB3d2fKlCnFyvrMM8+wcuVKgoODC90n9x3x+PHjmThxIl5eXje8A3n11VcZMWIEzZo148svv2TChAlcvHjxhnMMHz6cJUuW8NBDD3Hy5Mm8dxeNGjUiODiYli1bEhwcjJeXV94xL730El26dMHX1xdXV1emT5+Or68vDz30EK1bt6Z79+64uroybdo02rZtS7t27Rx+Fp3K/V+8VCdR6l/AWK11TM7jiQBa6w9zHm8Cpmmtixyu8fHx0beb52sNly5dom3btly+fJl9+/bRrFkzw9sUZduJEycc/pfdVtauXUt4eDhLliwxO4pDKuhnVSl1UGtd4LxVo4ZrwoG+SqlKSqkmQFNgv0FtlUhqairdunUjLi6O8PBwKfBCWFF4eDiTJk3i5ZdfNjuKyFGqC69KqR7AP4G6QKRS6rDWurPW+j9KqVXAcSADGFEWZtZkZmbSv39/vv/+e9asWcOjjz5qdiQhHEq3bt3o1q2b2TFEPqWdXbMOWFfIc+8D75fm/Nb2+uuvs27dOubMmXPL7AUhhHBE5eYTr7Nnz+bTTz9lzJgxvPLKK2bHEUIImygXRX7NmjW8/vrr9OzZM++DH0IIUR44fJHfs2cPzz33HG3btmXZsmUyF14IUa44dJGPjY2le/fu3Hvvvaxfvx4Xl9J9IlEIozjSUsMAzz77LB4eHsyePZupU6eydevWIvcPDw9n+vTpQPan0I8fP16i9m7WuHFjLl26BHDDBItx48bh7u7OuHHjSEhI4OGHH8bLyytv0TdH5LBLDf/xxx/4+flhsViIjo6mTp06ZkcSjuToKtj2DiTHQXU36DgVPAr/cNDtONJSw7///jsHDhzg9OnTxT4m/6ycsLAwAgMDrfbac1evhOx7Nv/5559YLBZWrlxJq1atWLRoUbHPlZmZaXejAQ7Zk7969Spdu3bl999/JyIigvvvv9/sSMKRHF0FG0ZD8nlAZ3/dMDp7+x1ypKWGn376aeLj4/H09GT37t288MILef9JNG7cmLfeegtvb29atWrFyZMn89ocOXIk+/btIzw8nHHjxuHp6cmZM2c4c+YMXbp0oXXr1rRv3z7vmPwSExN5+umncXd3Z8iQIeT/kGfund26detGSkoKrVu35qOPPmL8+PGsX78eT09PUlNT2bx5M23btsXb25vevXuTkpKSl/mNN97A29ub1atXF7lfQa8tJSWFF198kVatWuHh4cHatWsBCj3PhAkTaNGiBR4eHtZZMLGw5SnN+GONpYYzMjJ0165ddYUKFfT69etLfT5RPpRkqWE9y13rt6rd+meWu1Wy2PtSw/n311rr559/Xq9evVprnb1c79y5c7XWWs+fP18PHjxYa6314sWL85b7zb+/1lo/+eST+tSpU1prrb///nvt6+t7S5ujRo3Sb7/9ttZa64iICA3kLQtcpUqVvP3yf5+/zYSEBN2+fXudkpKitdZ6+vTpeee777779EcffVSs/Qp6bePHj9evvPJKXrt//vlnoee5dOmSbtasmc7Kysr7d7mZrZcaLlO01owaNYoNGzYwb948+VCGMEZyXMm2l4CjLTVckPyvJf87i4KkpKSwb98+evfunbft2rVrt+y3a9euvHMFBARQs2bNEmX6/vvvOX78eN6Sx9evX6dt27Z5z/fp06dY+xX02rZu3crKlSvz9qlZsyYREREFnqd69eo4OzszePBgAgMDS3z9pCB2X+Tz34Yt60gY5zYuYvz48YwYMcLsaMJRVXfLGaopYHspOOJSwwUpyWvJysqiRo0aHD58uMTtlITWmk6dOt2wSmd+uX8ft9uvuK+tqPPs37+fbdu2sWbNGubNm8f27dtL+nJuYNdj8vlvw5ZyfCfnNi6iaosneDh4pNnRhCPrOBWcbpqp5eSSvf0OaQddavhO5F8uuFq1ajRp0iRvOWCtNUeOHLnlmPx/F9HR0Vy+fLlEbT7yyCPs3bs372Lx1atXC7yRSHH3y69Tp07Mnz8/7/Hly5cLPU9KSgrJycn4+/sze/bsAl9rSdl1kZ+xKZbU9EzSzv3IpajZVGrUkpp+Y/hky09mRxOOzCMYus6F6o0Alf2169xSza5xtKWGS6Nv377MmDEDLy8vzpw5w/Lly/nyyy956KGHcHd3z7tAnN9bb73Frl27cHd3JzQ0lHvvvbdEbdatW5eQkJC8qZ9t27Yt8AJvcffLb/LkyVy+fJmWLVvy0EMPsWPHjkLPc+XKFQIDA/Hw8OCxxx5j1qxZJXodBbHKUsPWUtKlhptMiEQD1xPOcnn7l9TpNh6LS1UU8Mv0AMNyCscjSw0Le1FWlhq2idzbrd1VtzH1+7yLxaXqDduFEKK8s+sib8Rt2IQQwpHY9eya3Nut5c6uaVDDhXGdHyjVbdhE+aW1lhu5izLtTobX7brIQ3ahl6IuSsvZ2ZnExERq164thV6USVprEhMTcXZ2LtFxdl/khbAGNzc34uLiSEhIMDuKEIVydnbGza1kn8eQIi8E4OTkRJMmTcyOIYTV2fWFVyGEEEWTIi+EEA5MirwQQjiwMvWJV6VUAvDrHR5eB7hkxThGs6e89pQV7CuvPWUF+8prT1mhdHnv01rXLeiJMlXkS0MpFVPYx3rLInvKa09Zwb7y2lNWsK+89pQVjMsrwzVCCOHApMgLIYQDc6Qiv9DsACVkT3ntKSvYV157ygr2ldeesoJBeR1mTF4IIcStHKknL4QQ4iZS5IUQwoE5VJFXSs1QSp1USh1VSq1TStUwO1NRlFK9lVL/UUplKaXK5FQvpVQXpVSsUuq0UmqC2XmKopT6Sil1USl1zOwst6OUaqSU2qGUOp7zM/CK2ZkKo5RyVkrtV0odycn6ttmZikMpZVFKHVJKRZidpShKqbNKqR+VUoeVUsW/NV4xOVSRB7YALbXWHsApYKLJeW7nGNAT2GV2kIIopSzAfMAPaAE8q5RqYW6qIoUAXcwOUUwZwOta6xbAI8CIMvx3ew14Umv9EOAJdFFKPWJypuJ4BThhdohi8tVae8o8+dvQWm/WWmfkPPweKNmanDamtT6htY41O0cR2gCntdY/a62vAyuB7iZnKpTWehfwp9k5ikNr/ZvW+oec76+QXYzK5I0RdLaUnIdOOX/K9IwNpZQbEAAsMjuL2RyqyN9kEBBtdgg71xA4n+9xHGW0ENkzpVRjwAv4t7lJCpcz9HEYuAhs0VqX2aw55gDjgSyzgxSDBjYrpQ4qpV6y9sntbj15pdRW4J4CnpqktV6fs88kst8OL7dltoIUJ68ov5RSdwNrgTFa67/MzlMYrXUm4JlznWudUqql1rpMXvtQSgUCF7XWB5VSHczOUwyPaa3jlVL1gC1KqZM570qtwu6KvNb6qaKeV0q9AAQCHXUZ+BDA7fKWcfFAo3yP3XK2CStQSjmRXeCXa61Dzc5THFrrJKXUDrKvfZTJIg+0A7oppfwBZ6CaUmqZ1vo5k3MVSGsdn/P1olJqHdnDpFYr8g41XKOU6kL2W7RuWuu/zc7jAA4ATZVSTZRSdwF9gXCTMzkElX0j2S+BE1rrWWbnKYpSqm7uTDWllAvQCThpbqrCaa0naq3dtNaNyf6Z3V5WC7xSqopSqmru98DTWPk/T4cq8sA8oCrZb3kOK6UWmB2oKEqpHkqpOKAtEKmU2mR2pvxyLmKPBDaRfWFwldb6P+amKpxS6hvgO+ABpVScUmqw2ZmK0A4YADyZ87N6OKfnWRa5AjuUUkfJ/o9/i9a6TE9LtCP1gT1KqSPAfiBSa73Rmg3IsgZCCOHAHK0nL4QQIh8p8kII4cCkyAshhAOTIi+EEA5MirwQQjgwKfJCCOHApMgLIYQD+/8g69AYvzN07wAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] @@ -1757,12 +1761,138 @@ "plt.legend()" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## In HEP\n", + "\n", + "\n", + "Of course we can use automatic differentiation\n", + "for neural networks. But other things in HEP also \n", + "can make use of gradients. A prime example where this is the \n", + "case is statistical analysis\n", + "\n", + "For a maximum likelihood fit we want to minimize the log likelihood\n", + "\n", + "$\\theta^* = \\mathrm{argmin}_\\theta(\\log L)$ " + ] + }, { "cell_type": "code", - "execution_count": null, + "execution_count": 153, "metadata": {}, "outputs": [], - "source": [] + "source": [ + "import jax\n", + "import jax.numpy as jnp\n", + "import numpy as np\n", + "import pyhf\n", + "import matplotlib.pyplot as plt" + ] + }, + { + "cell_type": "code", + "execution_count": 154, + "metadata": {}, + "outputs": [], + "source": [ + "pyhf.set_backend('jax')" + ] + }, + { + "cell_type": "code", + "execution_count": 155, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "DeviceArray([-3.92711295], dtype=float64)" + ] + }, + "execution_count": 155, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "m = pyhf.simplemodels.hepdata_like([5.],[5.],[2.])\n", + "pars = jnp.array(m.config.suggested_init())\n", + "data = jnp.array([10.] + m.config.auxdata)\n", + "m.logpdf(pars,data)" + ] + }, + { + "cell_type": "code", + "execution_count": 156, + "metadata": {}, + "outputs": [], + "source": [ + "bestfit = pyhf.infer.mle.fit(data,m)" + ] + }, + { + "cell_type": "code", + "execution_count": 157, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(0.0, 5.0)" + ] + }, + "execution_count": 157, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAW0AAAD8CAYAAAC8TPVwAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+WH4yJAAAgAElEQVR4nOydZ3hc5dH3f2f7qve6RdXqstWLe7fpzcYQAoQnCYFAaA95eENIIYQAIQk9YKrpzRhMszG2cVW1bFm2LFlWWa1672W1u+f9sLZsSati2cbJdWk+SXt27pn77Dn/M2fu/8wtiKLIjMzIjMzIjPx3iORiOzAjMzIjMzIjU5cZ0J6RGZmRGfkvkhnQnpEZmZEZ+S+SGdCekRmZkRn5L5IZ0J6RGZmRGfkvkhnQnpEZmZEZ+S8S2VS+JAhCFdANWACzKIrJF9KpGZmRGZmRGbEvUwLtk7JYFMWWC+bJjMzIjMzIjEwqM+mRGZmRGZmR/yIRplIRKQhCJdAOiMAroiiut/OdXwK/BBAUiiS5j88oQ+fBWztjuKiU6NzdsIoivSYTPd09dLa1YnZ0BomdZ9IkfgjT9MM6ZEIiVwBg7uvB3N2JVKlG7uaBQiYl3NcLURTpMw3RO2iiZ8DEwNAQ0ypIneIczP29DPV0oHTzHvZttK4gCEQEeiNIBAYGh+gZMNE7YKJ/cAjRnqEJbNs7d6IoMtjZjCCVoXByR5jaGcZBpUDv547VKtI7YKK3f5DefhOmIcuU7I721zw0gKm3DaWTJ1KZcko+jJ5rgI8rLs4qTCYzvf0mevsG6es3jf0NJ/hR+3qakUhkqNRuk3k+RkbfQ6GhPkgkEgYGTPT2DtLbO8jgoNnOPEYqms2DDAx2oFa5I5UozsqH02Oe4RcQMsvX5ku/id6eAXp7BjENDo2rJyLSN9iKRJCjUrjYrovp3AyjdLx8XXH3dmbIZKa3e4C+7gH6egcZg3Mn/x+yDjJg7sZB5opUIh8zt8nsjZnYSfHTe+Hs5shgv4m+rn56u/rp7xscO7YoIiLSa+3EiqVFFEXviSc89fTIPFEUawVB8AG2CYJQIori7pG2xfXAegClVitq7rlvwgEF6+QXrDD2/hw1hg20M4J0pOs1pOq1hHt7ArD65Q2Ut7YR7umJSiajuKEJq50TLljPzQeAtv076a814L3oEuq//hhzVweCVIZHxmI8M5aglshICdWRFqolPVRLZIDtgfbA+1+zpeg4ng4OeDipKWtotTu+ZCIfxvG/vTif2q0fIMjkaJZdj2NAsN3vSa0CiaGBpEfqSIvQEa3zRSqR8Mq32fz7myyUEikaL1cqGtrG6E56biwihl0f0t9ai7NvEGGrfoEgkZ7UnfgGdVIoSI/VkxajJy1WT4CXKwA/+8sHFJfV4+HigMlsoadvcKxfo87JYG87R775J6IoEpx0Na5+s+zanGw+el83MhJDSJsTxJxoDUqlnBNVTdz6wNsIVvDxdKaptdvOuLa5VpVspaezFmc3DXEZv0QQJBOeh4mOSa0icbFaUlKCSU0JJTzMF4APPszitfU/IJEIODmp6OrqH6FnMnWTk/scomglIvxKPNxCpmxTsNi/2ASrSOwcPSkZoaRkhhE6y8/my5t7eeuFbUgkAmoHJb09A8M6J+p+oKJhN25OGpJCfoIgjMIDy/g/xkQ++vi6kLY4kuQFEcxOD0OpktPW1MVN8x9HtFhwcFLRd9KPQXMve41vISIS67kcd1XA2AHHmTMAZjsPyJOi8/UhdUUcKctiiU4NRSaXUpJfwX2rn0K0WFA7KenvsV27Zf35dA8cAjCMb+yM+Z9t7xFBEP4E9Iii+PR431FqtWLg/adBeyrAd75A3NPRgSRNAN+VngDg8cuWc93sWLoHBskz1pJTaSTHYORYQ/O4Y5yND92lR6j9+E0kajXikAnRbEatDcb/0utRevrYHcNDpSY1REv2CQOd/YPcMi+R3166kJbuXnLKjWSfqCbnhJHa9q4xuhMCOIAVOo8fwvjNOwgSKfqrfoGTLvy0/iTzc1EoSZmlpaKhlarGdtIjdLx817U0dfSQU1JNdomBnNJqWrv6Jj03TYd/oDZrM0oXL2Zdcy9yucO4dicDcZ23G+kxej7bVYTFYuXe6xdw/fJEjlbUk3ukmpyiKoorGrBYR44jDpkp3vYiva3VBMatQBO/csp2J7reVFIps6MCUSnl7Mk9gVQi8NWbv2bQZCbvUBU5B6vILzTQ2W0DzY7mExzZtx6ZQk3igvtQql3P+jxMdMzTxYHkpGAqK5s5Ud5IdFQAzz3zU44frycvt4LcvAqOFddy6NAGWttK0ekWEBa6atr2xgNwAA93R5LTQyk/3kj58Qai4zT845VbOXakhvx9ZezYvpf3Pn8UiURBZtSvUClcJrU3HRBXSAXiUkPw9HHhu435ALz89f1IZRLyfjjGh5+/yRdbPyBAPZsIzwWnFScA4+mAuINaTsLCKCRSCXu+OIBUJuGDY3+nvqqFPVuzeXXTMxzKL2TQ0n9gKiSPSUFbEARHQCKKYvfJv7cBj4qiuGU8HZ/wcDHkwf+lqbfX/pg/Ioh7OTqQpteSpteQHqQlyMOdqrZ2Vvz7LQAWhgTR0NVNWVOr3beiiUB8oL6G6jdeQBwy2b4rleGz/ArckjMRBMmk+qfm4OPiyNzwoJORuA5vF0fMFisZj75E38AQoT4etPX2097bP0Z/NIh3lR+levObCAjorvwZzkHRE9qfDMQ91GoWxYWSFmGLxN2d1ACsfeIdyowtuDup6TcNMWAaecF2VR+j4uvXkMiVRFx1Dyp335HznvS8TAAYVojU+7AoMYzUGD3Rwba3A2NjB9c89AYSCzg5KOnpG8SQ9zmNJXtw8Z9FxJJfIJlgGWeyB8dE15tSkLBiQRSpc4JIidfj4qzGahV5/q2dfPDpHgp3PYPZ1MOs5J/i4Rd9xpjTBc2JffXzcGbFiljSUkKIjAxAKpXQ2dnDvHkZGKraSE7+FYIw9kX7QoC4n68rq65IICUjlPAoWzTb0NDAr376N/rb3M7a1nSjcMFi5bKfpJOyMJK41GBUaiV9fX188MIOPl2/a3x744H4NKNwlVLGlb9YTMqyGCKTQ5BKpbS3duLh5XbeQDsE2HTyXxnwviiKf51IJzk5WczPz6eqo53cmlpya2v4qrQU0zgn+8cEcV9nJ/ycnSisawAg+97b8XB0oK23j5zqGnIqjeytMGBs7xx3DIChrg6qX30Wc/fI7zlHxuOz8irkLuNcjFMA8VAfD8J9vdhSdByAN39xHakhWkrqmsg6UU32CSMFlbX0mUbmDHuqSjFufA3RKqK9/GZcw+PHGpjE/kQgLrFCRKAPqbO0vLuzAKso8tCaxVyTEUthZT3ZJQayj1Vz6PARSj79F1bTICGX/hwXfdSUfptxj00CUK5qFSlRWlycVGz6oQiAjU/8DOvQIF9/sZHtP+ylST2bIcbmb6drd6L5yESIDPUldU4wWQUVbHrnCeIjvNn85VcUHK0jt6CK3ENVNDaPfZO6ECDuolYQE+1OSJCZ3/zmXuITfsk9d68hLS2U/JNR+NEjNQyNWi+4EADe3L2PuEQfLr90DW89d5ihIQu33rGY2UlB5O8rI29fGSdK6sfkoM8niPeZOjhQ9y4LFi3gZ2vuoTi3juztxfjrPPnz+lvJ31VC3g8lHMmrYMg0auzzGIUf69pDl7KG6y+9mWsvW8fydRnnB7SnI24hIeKDG94gNVBDSkAgcomUhPUvYrZauTI8CpVMTm6NkcqODvtO/YggHujqYovC9VrSgrT4uzjzRvYBnti+GwUSroiLIsdQQ03HaXC2mgYxvv4ig/U1w58pff1xDI/GcVY06kAdgvRU7nZyHyabQ6zGl4wwHRlhOhL0AShkMvYer+L2NzfRXVZMyvyFFObnUvHhy4hmM4GX3YhrdBIwtXTKeDJZFC5YYHawP0viw0iL0BGptaWDio+VEBMdRUDG5YRmrqK7307e+QKCuFQUuCozjDh/CYsWLsTJyQmz2cL6L7LY8EWubW6CMGaN45yi/3HmU1+2h6pDX5CasYTf/ekfpCeE4OttSwcYalv53z9vpMEOeE9ub7K3gtPHrVYzBVkv0NvTQHj01WgCUlm2NIZVK+OIi9Uil0vp7zexd99xnnj8y2nZnAqIN7eXcqj0PVQKV9Lj70QuU4NF5JKrEll1ZQKzogKQSATaW3vYve0oL/39m7Of+yQALopWcg3v095vZJbPYkI8020HzRaCI/257X9XE58WgkIpp793kMLsctY/vpl6g531pnMA8NbBGvLaN6OUODDXax0KiYotDS9dPNBW6rRiwIP3AiARIdDFhZou24X59lXXMU+nB6Cpt4fc2lq2l1fwRcmx8Z38EUFc5+6K2WKlrqubhEB/Prp1HQA1HZ3kVNWQXWngo6cep+ZAHg4h4TjOisJxVhRyV/fhMc7Vh4lEJUhJ0AditlrYf6iI1k/X09JQT29vL7t37ya3ppXCPs7rouaw7mSpFKWS4L5ypANdbNxzCO2yG9jy6M8ZsljJORmF5x430nOWIH62YGo1D1Hy5bP0t9cTknE1y65YR3qsnoLSGrKPGAjy9+DV311P7lEDuUUGcooMNLX3nJXdqQB4b0ctRdufQxAkxC+/D7Wz7aEW4u9B6snFzEf+8SUWi5Vf3jiPyFA/cg9WknOwiirj2N9vuqBZcfRLagx78fSOIibh5hGLfg5yGQlz9KSmhGCxWHnhpe8BeOzRa2mo6yA3t4LCwmpMo9JfZ+uLydRD9qHnMQ31kRR1Kx6uYxfGXZ3VJKfbFjP7+0w8+8TXADz0l6upqWwmb18ZZcfOLQqvbMnmeMMO3B20pOpuHE5jnilKmYT49FBSFkaQNG8W9619ka72PhZfPofQqADyfjjG0QNVmEczmaYI4kPWQfY1vs+ApZsk90vxVtrw8D8GtMcahGA3d9ICNaQFaknVaCior+Pub78C4C+LlnKitZ3c2hpKmpvt55l/RBAP9fIgXa8lPUhLqk6Du4Oaax9/mkKTlUg/P8K8PcmpMtLWNzbfPBnYTNWH8aTuq48YLC1k9erVLFu2jBWXX0mYNhCAP236nk+yi3BUKnBRK6nvGMtqOJcoHMaCeN3uL2g5uAu1r46wq3+NXKFgzbzZZETqSQ7X4KhSYLFaefGr/by5NQ8AmUSC2TrW0HRBXLCIVO35iNayXNx0sYQsvXUESAlW0Pu5c+ulqaTF6PF2dwKgoraFR176hhNG+/VjZ/vgsJgHKdr6DAPdzYQmr8UnONWunuSk3vWXJ3HZ0niCtTb2U2NLFzv2lvLShvFzrVMBzvbm4xTlvY5c4UTS/PtQKJ0m1JNYRORyKY/+6RrmzNahVMoZHBziUGE1mzbmk5dXcda+YLZyuOR9mtuOoQ+YR3jwqjP0JjixFhGVSs5TL93MrGhbFN7R1kt+1gm+3phHcaHxrPzo7q0nq/xNJIKUzLD/wUHhPkX/bRfjrQ+s4pqfzUeukNHXM8jB/WXkbD/KtpOLnCN1xgfwouat1PYdQ+sYS4z7kuHPt9Q8dxFBW68V/f/vHgTLFIBTBLVMRr/ZjLNCwVc33IzW1bay3jHQT15dLe8cPMTe6urxx/iRQFxihUhfb060tDFksXD/orn8aq7tZixpbCanykh2lZFdZZVYLgC98Ex9U1sz5S8/CaLtQ5mzG76LLyMsMZW5MbPIOWGkvrObyxOieGLtKqpa2skuq2Z/mYG8ihq67ES70wHxztJDuEbMoeNILjXbPkTm6EL4Dfcjd3QZ8T25KCEu2J/0CB35J2rIO24kItCb1+9ZQ15ZDTklBrKOGahuGpsyO5vz0no8F8OuD1E4exJ59f3IZaoJ9UI1XqSfpBU+/O+v6e4bZN3yBObGB5NbZCC7yEB5zVggn+zBUZ7zEc2VeXjqEgjLuHHkg2OC+fi7O5E6J4jUOcF0dvXx9Hpb5Pun+y6jqrqF3ENVlJY3YrVOHm0OmXop+OGfmAa7iU25DQ/vCLu+jicqqZTZ8VpSkkNITQnh/Q+z+G7bEXx9XVm3Jo283HIOHjQwMDBybWX0mHX1+Rwr24SToy+p8XcgkdhnGk8E4K7OapLSQkjJDCM5I4z1z37Htq8P4+PnyopL4snbd3zCKNxqtZBd9jrdA43EaC5D45kwrQVNlULK7PRQUhZGkrIwkqa6dh688WUAVq9Jobq8iWMHDVhHz+UkiDf1lVPQ/CVqmStz/X+CTKIYjsL/I0B7jLEpgniAkzOpGlsknhao4bncLD4vOUaouwcPzVtAdnUNubU1FDc12QfH8wDiUxlDJgrE+PuSEaQlI0hHoiaAAbOZ9H+9jFUUWRYWQv+QmQJjHQN2nrznAuJ1n79HV9GB0x9IJHgkz8dr3jKkasdh/QA3F5ZEh5IRriMlWIOj0hbtLvnbq7R09eHl5EBn/yBDdi7gyUDc0j9A6at/xnfepTTs/gIQCF57Fw5+uinlw/U+7ty0OJGMSD2akzzsutZO7nn5C07U2U/vnNK1J/2tdZRuehYQibjiNzh4aezoTsxKAbh6URzrliUQEugFQHN7D3sPVvDEW99PqgvQUlVA+b73UDp5EHvJA8gl4xfzTPQbn4rCHdQKnv3TWiJCfG3RZlcfeYUGNn17iKJjtfaVzVaO5b9Da8MRAoLnERp7xRk2p88NF0VISw3lD7+/ErVagclkpuhIDXk55WzZcpju7oEROn39reTlPo9VtJCaeCdOjn5TtjceiEskAhIRzGYri5bH8NBfrjkdhe8vI29/GVm7Shk842FSVrudysZ9eLuEkxB0/XnjhTs5KOjp6kehlPFR7h9RqW3/F+wtI29nMXm7Suhss7HoTJY+9hrfwmTpI9V3DR6qwBFjbTE8858H2mOMTxHET0laoIa/LllOiLsHAN2Dg+TX1fLnnTup7rTP9rDZmdzn8wHiCkGK3t2NEy02wPnyFz8lwscLk8XCoZp6squM7C6rpKi+cRwfJvHxpA+DzQ1Uvvx3TpVXOc2KxWfZ5SjdJy6mUiAhTutPnMaXDXsLAPjHDZeyMDKYgqpassqqySqrprSh2W7h12gQbz24h/odm4b/16z+CW6RSXZtTwTiggU0Xq6kR+hJj9TxyDtb6TcN8fMVqSyKDyWr2EB2iYHDlfWYR93IFtMAnSeKcAuOo/SzfzHY2Yx2/nV4RWfaxj6HBU1fVyfSYvVkxAYhEQQeesmWwvvdLcvo6Oon+3AVReX1WM7waaC7lSNf/QPRMkT0irtx8tKdld2JrjMPRxUp8XrSEoJJmR3E82/t5Pu9JQT6uXHZ4lhyDlZxpLQOi8VKQ1UOJw59ioOLHwnz7kYilZ/1OZjomFIiITZWQ1pKCCnJIej1Xlyz5jm6uvpJjNfh4KDgwIEK9u57ka6uasJCV6PTzb8gjBQXJ9VwLjw5IwxnFzVrVz5NV2c/kVF+dPY08M6mPyOTqsiM+hVKudOk9sYD8Yl0HFRyEjLDSFloK+7x9HXh9ae+4dPXdqFSyRj0PM7W3Z+hc04k0mvRacWTAd3FB+3/Nwq0p5TfnRqIezs4khaoIV2jJSVQw5pPPqBrcJCb4xNYFBREtrGGbGMNR5saL2ok7iCVkaQNJF2vJSNYR4yfD5uLjvHbL7cCcFPibA7W1FPS2HxW1Zp1H2+gu7gQpW8gPiuuwDEo3O73pvIQSA/VsSgqmIwwPWG+tnxqTnk1t722Eazg5qCio29grK5Z5MRbTzHYdvIBJJHgHBSJx5y5OAdHndOi5qlze3lqNNdkxhIX5I9MKqFv0MTeo1X83+tfD3+39VguDXlbcPDV01leiHtYIvoldirsTo093cXFk3oSQeCl317H7PBAZFIJPX2D5BZXsfHbLHJLmzm25QV6W6vRJl6Kf8ySc7M5UV5fAJkVLFaRJZkR/OGeS5DJpPT2DZJTUMYn773Ee+9/QFjSbTi6+p+FzekX97S32yLKv/z5WuZmhjM0ZGbv3j3s2pWLsdqdqqrzt7g6URSu03lRVd4EwOPP3UByejiNjY3k7i2hKK+RA9nl9Ix6I7gQvPDQcF/aWrppb+4mZqEbT7/6/2hpbuHQ3iryd5VyYE8pPZ2n18K2lD/9Hwbao+U8gvgp+Wn8HG6Kn0O4hw18uk2D7Ks2cOeXX01iZwq+nCOInyq5d1QoqO/qRuPqwo67/geA9r5+cqtryK40sr20nMbusUyGU2MM1NdS+/6reC25BJfZyQhn9Fc5NxodeDs7khGmY8hi4dvDx5FLJex/5A6aunuH8+G55TV0DwzSayjD8NG/T+tLpHhnrsQ7ZfFwqfoIOQdqobNcQcosLRmRemRSCY9+YEtT/OsXl1NVdIBvPv+U7du30yfKmbXmPqTy0+mI88lKGeGTUklKtJb02CBSI/x56bUNvPnxN5gbinjsyX9S2u5IQUkt/Xb6b1wIEFdLRGZHeLEgczaJ0d4E+PuRtOhmnH0TSYrRIpNKOXTUOKZ3y4UAcIUgEBykJCRogNWrVxMfH0/RESP33PcegkUkPl5LeXkTvb0j11UuRBTe2LmH+CRfrrnqRpYuW4iLqwNFBw08cPsGBIuFAI0HdTX2WjScvyh8YKiLI22fsnzFUm5Z82vSF8Xj6uGExWLltmVP0WRsRe2oZNPhv15E0A7SiP4PnwHaUwDf8wniXg4OpAVqSQ/UoJTJ+O33tsj2rSuvxWK1kmU0klNTw9GmcfqR/Egg7u3keDIK15Ku16Jxc+XujV+xtaQMnasrSdpAsquqaeg6DeL9hgqUfoFIlMpJQXgy+5P5r5LLuC4lbkw+/LEvdvKPh+6jv+IYgiAgdfch4NIbUHmf7t1wIamFgsUW8f7tpmWkzdLg5uaGxWIhPz+fl17fQF6fO0pXL7t6E447TTAt++5VeutPYLGYWbpiNV9+8TlqlYIhs4VDZbVkF1bx9Z6jtHefHcPobAC8taaQZkMBDi6+1JbsIC5pMc66VQiChH8+ch2pc4IYGBzi4FEjOQWV5BRUUlNvb9F3+iButZppbSrGwzuSA1nP09/bTGTc9cRFz8PF1YGKiibUagWfb7wHQYCjxbXk5pSTm1NBRUXTefPFahpAKlXQ3H6cQ6XvnuSF/xqlQk1EZAAymZSigwYcHBV8uu1BOtv7yNtXRt6+4xTkVtDXM/WHyeS8cJF840e09lYS5jWfMO95SCQC4ZH+xKYEs/F1WwunB55ay/Krky8eaHuGh4q+v7ubPrOdLl8wbRAXrVYQhOFX37ONxP+0cAnzdPoROfH1BXm8mG0ruBCw3+DrxwJxrZsrrb199A0NcUtKAg+vWARARWsbOZVGsqqM7DxeYbey9ELzw+WihHidP5lhOrbkHmTzw3exYuUKPtv4GfmGerJPVLO/rJoTjWNfgc83tfCUNGRtofXAdlJTU1m+fDmrL7ucb4qMbD5YhbeLI7+7fslwPtzYPHbN43yA+FB/D4c//PMwi0fh5IF3UCyXrL2N+ckxpMfqCdd6c9VvX6e2uZPE0EB8PJzIOWKgs8dO2mm6D469b9NacxgQkCkcmL3iARRqG4NHLZWSEKMlLSGY9IQgtAEe5B82cO+fP0GwQnxUIGWVTfRPwgKZ7FhbcynHD3+Ch1cEDbX5ePvFExV/w4hUlUyE2BjNmEZXL7z0PZs+zUMul6JQyKYdhYuilcMlHxIVdiXZB5/HNNRzkhceMkZPJZcxf2k0qXPDSEoLxclZhdls4ek/f8HObwqRSIQxLJ3JfDkF4q09lXg6BVPdeoBj9VtxUfmRHnQzEsHOW6jZwryVcfz+hZ9ePNBOTk4Ws3NzOdLaSF59DXkNNew0VjBkh48LTBnERauV9s++QpDJcEiMR6ENHEWlmhqI+zg6kh6oJV2jJa+ulk0lxXiq1Xx308/Iq6sl22gk22iktKXlooG4xAoRPl5kBOnICNaSrNWgkElJ/ce/6RsaYq5eh0QQyK+uPe/MlMn0m374lp7jR1h8+33cfMly0sN0BHvbHoRNXT3c+OKH1Hd02606hPNTpSmKVkre/CtD3e0AeCUuwi/zEqQnG1fGB/nzt1tXE+hpY6UYmzvILjHw5nd51LeN5azD9FIpzcX7MO7beNo/uYqg+etwD4ob/szLyWG4wdYfblvB5fNjsVpFiisbyCkykHW4kqIT9VO2afP19Hm1DA1y4PM/YbXYQFeucsbFOxRd7CpUTmPfODReLjg6KCmrbMLZUclXb/4ai9XK4WO15BRUkl1QOa3intLDn9BYY+MsyxVOJC94ALnCYUI9L1cHUlNCKCyspr6hkwXzI3jk4Ss5erSWnJwTZx2Fd3QaOFC4Hge1F339LWj9M4kIueQMvXFy4VKBqKhAUjPD2fZ1ITXVrcxfGsXt96wYjsIP5lYy0G+akh97S15C55HE8YadiIhkhN6Gk8prQr0tx/52ESPtWaHinz5+h1Q/LbO9bIsgce88i8lqYZVuFkqplNyGGhp67eduJwJxa18/9U88h7m5BZmXBw4Js+0COJxdJB7g5Mxv0jJI02jRu9r6hrT193Pvlq/ZW1U9bhGIzc4kNs4DR1yOhFAvD0qbbJzht39yHelBWkxmMwdr68muNLKnvIqiunNjpox7/BRYWq20F+zHPSEdQSob1vV3dSYjXEeiPpA/fLYNqyjy8BWLSQ7WsP+4gawyA/mVtQwMjX3ATCeV0lNdRtXGfyNTO6FdeSPO+ki7c9J5u5ERqSc9Uk9KuIZrHn+bpo4eFsaGEBHgTVaJgWJD49iS9imej9LNz9PbWAmA2jOQkGW3oHL0HFdPKgpEBfuSERtEeqye2FB/quraWPfI2wCkR+qoqm+jqW3qFZqtVQc5se/d0zZkSkLT1+GhiZt0LnIE5kRrSE8IJi0hmBCdDVj+/so2Nm8pRKmQIZNJ6O2bGKysVgs53/0F89Dp7o8KpTPRSTfj4qYbV+9MkVhEtFoPli+zNboKD7fRA1tauvnV7W/Q3j62s+ToMcvKv6G6dp/tc0FCRMhluDprcXb0t6M3cWFPXIKOq9elkZASgqOTEpPJzJGD1fzlwQ/p6x1b53DKl56BZvaVvjz8WUTACoI8xsfiU+2WGS0AACAASURBVP5fVNBWBmtE/z/ejWgRUEqlhLh6cKzN1gr1w9XryAiw/YiGrnZy62v4oaaSrytKJx70DAA21dbT8NTziGc0TDoF4I5Js1FoA+2NcFY88XSNLRJ/LjeLmq4u1sbE8UD6XLJrjWRV2yLxqmn2TjmfzJSMIB2ZwVqifH3YW1HFzz/8HIArYyIpbmjmRLN9vvO5gPhUda9OiuHSOZEk6gNQymWYzGa+O1LG/30wboNIYGogXrPlfcx93QSuvGFEIc9E+XC5ePrBe9+V8/npkiQkEoHO3gFySqvZX1zFF1lHJ5zTmTLY3Ubx+48B4BWViSb9SiSysdS6CZs5qZT4ejhzoqYFqVTC98/fgZNaSUVtC1mHq8g+XMWh47VjFxDPmOfx3W/RbrQ1ylK7+hG+4FYcHMdG2BPN5ZT4uTmRlhBEbqGBxuYuls+P4uG7VlFUUkfOQVsUXl41tq1xR0MpR7JfG/5fqXYjKvlmnN00085Nn4rCIyMDeOZZ27rU/96/msBAd3Kzy8nNLaei4rQvoiiSlf13BgZO35dqlSfxMT/BydF3UnvjgbhMEIiZrSM1M4ygMB8evud9AG67cwlqlZzcfcc5fKAK08kNKCoa9nCibuewvkLmSIB7PLP8l54OLO2kOLceefzig/ZoES0CUkEgysOHND8tqX4aUv005DXW8svvbXzfP6YuoaKznZwGIyfa7bdLBejNLqTljfdGfKaOi8b9mkuR+53sYz0puEw9Ek8L1HB9TBzpGi1+Ts4A1HV3s/ytN+k3m1FKZQxa7JeuXmgQF6zgrlbhqlZR1daBi0pJ7v13IBEEmnp6ya6sZn9FNXvKq2jptdMH+0fol5IUHEhmmJ5e0xD/3p4NwKd3/4TK5nayygxklVVPudTeah6i/UguHrMzEMTxW61OtqDprlKRFqEjI1JPZlQQLV293Ph32w15XWYc9W1dFJTZfzsQLNBw8HsaC75Hu2ANHuGn+ennwg0P9fMkI84WhSdGaFDIZbzxZQ7//mwfSkGKn5czxobToGQxDVDwyR8RrWY89QkEp68ZszPPdBkpEotIkMaTlQujSZsTxKwQG/C1tPVw8z1v0d0zgHByw5myg5/SaMgBwNUrjMjEG1Eonc5q/pNF4QDXr0ll6dIYwkJtvjQ3d/HNN4W8vWEvXd215Oe/OKzj6RFBTOQaW2Oqs7Q3WRQO8MAjV7BweQwqlZyBgSEK86vY/vUhnnzuHrr6Tqe7Aj0TidKuQirayWfDMID/R4L2aBEtts2nnBVKukyDOMjk7Lju5/g72kCxbaCP3IYa3isuZE9t1Rj9to8207197/D/Cr0Gr1tvOA3ao+U8gXiwmzsZGi0h7h48tucHANZfdhWzPD3JqjaSZTSSVWOkeZr9xM8HiAe4OJMRrCMzSEdGkBYvJ0f++O12Pig4jKdKTaI2gJyqGroHJ9/5ZTr2J9NXy2U8ctVSMsJ0+Lic7P/R1MaL27LYcvj4uLoXipUiWMDNUUVH7wBSicD2x2/HzVHN4JCZg+W17C82sKuofESZfdV37+CXvAK1q+/4AzN9EFfLZCRGaqlt6sDQ0E5qtI4XH7yO2qYOsopsUfh333zJke1voU2+At+IeQiCcEG6FQJ4OzuQlhBMeLAPz76xA4A/3HMJvt4ufPrB63z91Rc097iij1o1gvZ5IWiF3m6OpCSHkJYagtHYyhtv7aGqYhv/+udv2LNnD4cOtWC1hI9pCHW+aYVyqYT4xCDS5oaRkhnO/t1HWHvTQiQSCY/95TGOH+6iqVKN2Tw51XJr4V8uMmj/eRRoT4HSBzYg1zm7keanIc1PS5qflucPZfFxWRFBLu48kraY3PoacuqNFDXUUffPVxg8UYUqKpyB4uMIcjnuay/DaW7GuAUWU/XpbCLxtdGxLAkOJS1Qg6vK1u/iy9IS7vnG1l7SQS6nb8g+m+bHAPFZ3p409/bR3tfP1fHRPHn5SixWK0fqG9lfWU1WRTUFxjq7i8UXEsRt/cM9yQzXMTdczwfZhewqqSTS35uHLltEVpmB/ccNHK21T8+8UCCukkhJDNWQGWWLwkP9Pfn3N1m88m02apmMBbFB7D9STo/p7Cij5xKFezk5sCgpjMy4YJKjtDioFJhMQ1zzm6do7lOjVMgYNJ3dovS5ROEAN1yZwqLUIGIi9QC0tvey+btC3vhw/zTsTT8KF0WRGsOHfPbZe8TFxQLQ2NhJTk45m78ooLJybErnQvDC65vzOFL+JfFxSeTlZ6FQyOntGaQgt4K8vcfJ2lVCV8fIt91Ttv7zQHu0nAWIn6LipfhqeHLeKkLdbEyFHpOJ/DoDd/38drrXrqJ75346Nn6NOGTG6+c34JiacHqg88AVnwjExZOvODKpjCgvb5KkCjoEkc31tSikUg7+8tdUdLSTVV1NltFIXm0tPSbTmHHOJzNFtFrprziBQ9jIPREVSJgd6E9msI6MIB2zA/2QSSTMf+5VGrt7iPK2lcOXNo7TZfEs+eEDjXXI3TyQKlVTfgAkBwfy20sXEhNoi2I7+wbILq/myS930dhpfwF7IgAXRSsD9bWo/bT2dSfxy9fZCbPFSlt3H/Oig3jhjqttDBBjI1nFVew/ZqCosn7Mdmejz0d/ewNKZw8kMtuGDNMFVLkgYXZ4IMkRAby6ORerKPLAjYtZkhxOTlEVWYeryD1ioNvOHpqYrfR1NuDoPnZPxOmAeN3x3YSGJbB4QSppCcFUGVvZsDEbqVTC0w9fw6EjNeQcrOR4ReOI9gh9XY2oVR5IpOM1kJo6qPb2NHL04NvEJNxMiC6U1OQQ0tJCSUzQ84c/fUbBQQMhwd4kztGTk1NOjdFWUGO1Wujrb8HJ0XdaID4awPOPvoHZamLOrBtwc/ZkTnIwaXPDSZ0bhrevK7/99TscyqvE388FD08nSo7UYLWK9PQ3sf/YyxcRtEM0YsCjvx7+X7SOn3cclrMAcR+1Iyl+GtL9tKT5a1nz8et0yiTcEpXAcj89O3fs5LCXI4dbmzBZx7nSJgPxsyj2EUWR1o834rp0MRKFgtZPN9F36DDKID3+996Fi1LJLbMTydBqSfQLQCmTYbZaeXjHNj4pOopcIkEiSOzmxKcbhYtWK80bP6Y7Pxef627AJTFl3DGcZApmB/qxv9LWSfH5ay9jZWQ4rb19ZFXZovD9ldXUddrZtHaS82Ru76Dq9X8hVTkQ9D/3IlGMyrdOou+hUpMeqiUzXE9ysIZrnn2H/iEza1PjCfPxYH9ZNbnlxjG7+MBIEG/O3U7jnm8IWL4Gj/j0c4rCpVaBaJ0vmVF65kYFERvkh1Qi4fon36W0pplAdxdEURxDLTQP9FL60dNIFWpmXX3PiMrNqZyLycrsFyaEsjI9krQYPS6OKixWK7sPVvDQs5tHfLf+6A6MB78lOGMtPsHjXxdTBXBRtI5IQ5yKwn29nHnswSuJCrOxQNo6esk5WMVHm/MpOV5FwfZ/oFA5M3vBXUik8nOKwjs7DDg4eo/Zh1Qh2LjWVqvI2utS+dXtttYCdXXttih882e8++7TRMy6Bl/f2VO2Z09Mph7KKrcQFXL56Z3dz5CgIG9qDC2YzVZuu3MJ626dR2dHH7n7Snjnw+d55923/nNAe7RMCcRhSsApngG+6yLiuSUqkeiTG+oOmIfIbjBy67cbx1M/LecA4l07dtO+8UucF8ylN78Aa18/cl8fPG9YiyokaMR3VRIZif7+ZGp1fHW8lNLWFpYGh/LC6ss4UF/H/pOR+OGGhmn1TRGsgu0hsnkTnfv3Ivf0IuBXdyFzcZmiPvg4OTI3WG/rXhisw9fZiSP1jVzzxvsIVkjUBFDW3DppPtw6NITxrRcZqK3GPXMxPisuP+dUyil5YNV81mXMxkEhZ8hiobC6nh1Hy9mwp2CMXl9NBVUfvIREoSDspgdQuNmh5J1Dmb2LQklyuIYfisoRRfj99Uu5bl48lY1tZBUb2F9cRf5xIyVfvkZnZRFecfPQzL9mzJzGzHeaUbgMgZgQPzJig7FYrby22bbw+9YjN1JpqOXDN55h2/ad+KfdgtJ55Lm4EKkUD0c1aQlBpCcEkzoniP/35Od8/NYTBPsrWHPD7ZTWKimrbBzTpOxCpFL8vVxISwkhLTWUOXO0DA0N4usbSELyXSTNiaKttYeGBnuFWONF2mfw5S0mJBL5GcV/459MJwflcJOrhDQtXl4eCIJwMUE7UAx8zAba4hQ4yucbxN2UKlJ8NaT763CWK/jtXhvF7J1Va5ALUrLrjWTXVXOouZ7B8cpQpwjifUXFNL/yFsNXnESC64rFuK5ahsTO0/ZMOZUPn+XhyXXRsWRqdUR72x443aZBVr+7gbrOHhxP5sOnWujTtuVbOrZ/j9TNjcBf3YX8ZAWoXR+mAKJhXp64qpQcqKlDLpWS/8AdKKRSDtc1kFVZzb6Kagpr6kfkw0VRpPHzD+k6mIdDaASan/xiRJ+UqdifLPJUICVB78/c8CAywnW0dPdy54YvALhv5TyqmtvZfbiYrGf+hLmnE81Vt+Iyy7Zv5oXahu0UN3xBbDAZkUEkhWlQKWRU1tQTog1A5eFHxm2/p73v7FJj5xqFKxUyfnfzUpJn+eLj7YXVaqXE0MSbX+Swu6D8rG1OF8BlIjQaCjie9z6/fegRnvzbo4AtF557klK4K7tsROfEye2d/TGrZYijBa+i1bpjMs/Czz+R19f/D8HB3hiqW8jNLicnp5yiIiNm8/nyZewJrW8upLhyE/PnrWDX7i3/GaA9WqYC4rbvnZ+UypmR+INJ81moCSbawwepRMKA2cybxQd4MsdW/y+XSM6qatNkrKXhHy8hDp6+AdVx0Xjdsg6JeizNaLKFTUEEd5WadI2WRH9//rrHtmvJ35auYGlwKNk1RvZXV7O/unrcVrSd3++g7ZuvkTo543/nr1F4j2zXeq6LmlJRICHQn7khejKDdcQH2PLhz+zaz0t7c1BJpGjd3cj7chPN33yO3MML3e33IlU7nLQ/fduTAZdMFLBYRVRyGV8/cCt+rjYW0tGjR9ldeJQdLUMU146troMLu6AZ6+NA7+GdfPzxx8xaez+7//0IVqs4nAvPLqk+r1uwjQcc1dmbaDm2j0WXrWPNrb8mMy6I97YeYOeBEwQHePCLKzPIOlRJdpGB1s6xzKfzAeKDfR0Ufvc0VrOJ2KW/QacJH47C0+YEIQKX3/YSVqtIapyezu5+yiqbznsUXl76DTVVu/HyiSF6zk0IgoDWz4201FDS00KJj9OiUMjY9v0R/vbkVwgWEXd3x+FOhlOxNxmAD5i6yCp8AYvVRGrsL8kpuog57TlJieKTX7xPflMNeU1GitsbMYv2f/GLAeIuCiXJvhoy/XUcbW1kU3kxbkoV2evu4FBzPdl1tkj8YFP9uDlxc1s3DU8+h2XUru0KnQanzBSc5k3OXpkKiAMsDwljZWgYmVrdMEc8u8bIjZ98gnVgAEdHR/otFrr27aN142dI1Gr8f30nioCAC85McZYrSNdrKWtuxdDewaKwYNZffxW1tbV8v2MnB60y8lo7f3R+uGABr4YTJHuoWHX5Fcyfm8mTX+3m49zDeDk7cvnsSPaXGSitH7srzfmMwq3mIU589AwDLfUELr4Wv7j5XJEeTUZkEOkRWpwdVJgtVp7/ci9vb7NtamF30+Fz7JPSWVPCie9eRe7gQvTVDyJTjnyIZsYF8chtK/Bys9EvSw1NZBVW8v6WA+etR4ooWinZ+SqdTWVoY1ahiV424rhMhABf1+FGVh88fxvaAA9a2nuGy+vzDxno6Tu37oCdbZUUZr+CXOFI8tx7USjG8slP7Z3Z2dlH8bE6/P1cee+dOzhR3jgchRcX105pByF7x0RR5FDx27R2lBGiXUJo4CK2Zf/h4oF2WFyMuD1rL3on2x5sPUODZG5+jp7BIQIcXOgw9Y/bTOpiReLeakduj0sl3V9LjKcvEkFgwDzE3T98ybbKcpRSKaIIJqsF66CJxqdfxmSoQVApUUfPQh0ThTomAqmri31DZ7GwOe5xEULcPZir1WGxWnn/yGHat26j9P2PaOnq5LuNn7Fj925Kw8MZ8hvLHf4xqIUupgESmqpZunAhKy69FA9n20Nm9SsbqGhqw8NBTZ9p6Lz3Sxmt21ddgeFdWx47+OcP4OLug0QQ6B8ysyI2nH/95DIAWrp72XfcwL7jBnYWl0+6oDlGJvG5YecmWg7twSUkFv1lPxvVPEkgTu9PRpSe7NJqDpbXEq315cU7rya7xMD+o7ZIvK3bzgPvLM6FeaCH4k//jrm/m/CVt+MSOGtcvVlabzLjg8iIDSYq2JdV975M38AQixLDcFWryC6qonmamyDXH9+DoeALnDz1xCy9E0EinXAenk5q0uYEkZ4YQtqcIJydVGzZdZTHnvsWwQpBWs+z7pFiHRzgwN5nGOhrIzrpZrx8Y6ak5+GsZuWKONJSQ4mL1SCVSujq6ueRP27kiJ29Kicbr642l2PlX+DsGEBK/O1IJFK+3/f7i5geCQ0UNY/fiY/KiSQvDaEuXrxQbCuCWT9vLQv9Qzna3kB+s5G8JiP5zTW0DdrvKwDnMS9+FpF4qp+WDH8tG4oPUt3dwbVhMfx17goONNayc/sOdhXkc0wuIgvRIchGUZYuML1weIjefpqeeJr7HvxfFqWkMm/ePBwcHDBbrTy5bzev5xcgEQRkEon9zoDnGcStpkFqXn4OU0M9HktX4rV4JVF+PqTpNLyVW4AIPLp6KdfER3Ogpo595dXsqzBwrKHpvFALT4m5t4eq9U9j7uki8NpbcYmMH/MdX0dHMsP1zA3XkxGmx91RzeK/raepq5d4jR9KmYxDhjqG7OQhpwri3ZXFGD5/DZmjC2E//V+7FYKj5xTm78kty5LJjNTj6WLbNu6YsZGHXv+G6uazb5sgiiKVW9+k03AEn9iFaDKuHKU7/v2vkp3mfT911xUsTgoD4Hh1M1mHK9l3qILC43Vj/bHzu/V3NlL07T8REIhbdT9q57G7LE3YI0WEmFkB9A2YOFHVjC7Qg/efu42m1m6yD1TYovBCw6SdCssOb6TBkIOPJonI+LXj2puwl7pKQXJSEGlpYbz8yg66uvq5+sokli6NJifLFoWfONEwbkqnv7+NnILnEa1WUhLvHKYbXlTQVoUGiton7hjxmfUkAKR568j0DSbZW8scjwBUMjkFLTWs2b4B0SKw0D+Ess4W6vq6xh3/xwZxgFhPX64NjyHDX0eUh22xsHfIRMaHL9M1MIi7Uk2XacAu4+NCgXjHt9/R8e13w/8H/uxm5l96CXO1enYbqsivr2WOnz/vXb2G3Loa9huM7Ks2cGyau9zbA3FLfz8SpRIEgaZ336bnSCGO0XH43XjLmIVHwQpJmgCWRYQyN1hPpK/txi1uaOKq199DsIKTUkHPoJ1FuilG4aJopeaDV+ktL8U9dT6+K6+eVF9ihXBfL4432FIlz950OctiwugdNJFbbmT/cQN7j1dR3Tp2HWE8AB/q7eLEhqex9PcSdO2vcNKN3V1ooly4xAoRgT7MjdaTOkvHb175nMEhC7cuTSYu2I99R6rIOmagod0ODfMMn1pLcqje9REqDz8irr7PLhXttN7Ei5mhGi8y44LIjAtmTngAeSVGfvOPzwBYPCeM4ooGu1G4aLZQvPU5ettqCEq5Ft9ZmVOzOcH16KJUsDA9nPTEEFJn63F0UDI0ZOH+xz7l0GEjUqlkzGJme2MJR7NeR6lyI3HRfcjkI9edzqW4Z8niaK69OpmICH8kEoHW1h6ys0/wr39+OwK8RdHKwUOv09FRSVjwKvTa+cPHtu9+eEqgbZ/VfgFEIrF5ntdqIK/VgNUqoJBIifPwR3aS46mUS3h5wXUopTLqejvJbTKS12xkT30FNb2nbxhBMvIE2gNxYdQdYRfER39k5yYSpDZbRzsaOJrXgGgRcFeqSffXEunuTadpACTw+PzlzAsMIrehhv111WTXVVPcejKClI76we2B+CS+iKPGsHYP0PnD7hGf1b79HtsGBsjOSB3Oh3cODPDh0SLmanX8vwULAFv3whs2fkRZc9uI7oWjWyOMvmnEUeddsAp0Ze9H4euHqaGeniOFyH398Fl3A8glMEYf8uvqyK+rQ9i+By9HBzKDdSik0uHj39xxCz2Dg+yrsEXhuVU1NubMqPMzGoRP+d66ewe95aWoArT4LLt8hO3xdK0SKG1ugZNj/O6TrXx+4CjzZgWRGa5ncXQoR2oauf7F98EKs3X+lDW00GcawjrqnEksthuz9tsPsPT34JW6BKdT28HZsTtC1zry2LH6Jo7VN/Ha9rzTv4UA0Vpfls62jVle38qOQ2W89FXWmHMx2NlCzb5NCBIpQUtuQiKTj3lYn3kuROnoLpln5GAlcKKuhRN1Lby9NR8nhQI3ZxvouTqpeOLuy5FIBMqMzWQVVpF1uJLCMtt+lbVHttHbVoNrQCQ+4RkjbJxpczQwnnk9jr4WuwZNfLnrKF/uOoocgfjIQNITgymraEKUwNorkrhq5RyyCyrIPlBJbkEJZQc/ASA8aS1SlcNwD5Gp+TL+MatU4Pvdx/h+9zE8nNXD5fUeHk5YJTa9X/58ER3tvXzx+Sd0dFTi6qpHq5+HOEwPnHrwfGEi7bBAUf/U7bYJWaZG57NabZWPEW4+pHrrSPbSkuKtw0ftxFOFO3ilJAsXuYpr9PHkNlVzrMN+WTNcnEh8qTaUpbpQMvx1hLjaKHZZddWs+/ZDBKtAoJMLtT3jvD1MIxLv+Gornd+e3h1codficc1VqIL1dtVP9RHP1OrICNTxyA/fY7JYeDBzHpeGR7DvJCsly2ikrd/ODit2oh7RasX4xN8AMHe0I1Gp0Nx9H3LP6e0aI5dIuCl5DnNDdKToNKjlckwWC//YsZe3sgsQAMHOIp25uwu5owt9VeUYN7yERKlCf/v9KNw9p2x73GMW0Hm64uag5rCxAYVMyv5H7kAmlXDIUM++41XsLTVQUn+a4dCa9wONOzej9tMSsu43CNJxGgWdA60w2NeDudFBzI0KomdgkAffsO2b+X/XLcLQ2M6+IxXsWP8YfY0GAjKvwGfOomHd6Z2HiXEizN+TjLhgMuODSAgPRCaT8tQ723nzo83U7H4Ld09vPJNuQuEwcs3nQpXYZyaFcPmyeJLidDioFQwMDPLdd1u54/6/ExJ3pV29800rPFVkJJEIvPT8LcyaZSsyqqio4MCBOn7YWU5Jyen00o6dv7uI6ZEzQHu0nA2IAwQ5udNjNtEy0MsCvxDeXHgDAN2mAQ601JDbZGRjxWGaB+w3Z4IfH8R9HZzI9Ndhslr4urIUuURC0U/voWfIRFZ9NVm11eyvq8bQZT9HORmIW3r6qH3kb4gDA0hdXXC78hIcUxJG7Rc5NWbKqtBwroyMIkOjxUVp65lyipkCTLibT9+xYzS8cbodp8v8BbgtXoLM2fmcFzWVgpQkbQBzg/XsKq8kr7qWOH9fXlt3NVlV1ewrN7C3wkB9RxfV658lYN2tVL/6LJbuLgKu/xnOUXHjjn0ufGiZKJCoD2TuLFs+PPpkmf0/v93D6z/kY2ltoO2rt2ltayfk1vtRuJ/O3V7IZldg24nl44duQudjIwCUlZWxfW82uxsFjhnt9d6Y2OZ0AdVJoSAlWkdhqYHd7zzK9VddwoYNG4Zz4fsLbZs+jOFiXwAAVwoSgrwHiQ9V4u7pwysbDUhlCn5/92q6uvrJKqik8GgNQ1No6HQux0SrhZbazcyfP4e1199GZkYCb7+7lw8/ysHRQcmSRVHcf//qiwfa6rAAMejvt2MVp8YEmQqQnwJxP7UzKd5aUr31pHhrCXf1ZsU3L1Pe3cpc32ASPTTkNFVzqLVu3FapPzaIK6UyrgyJIjNAR4a/Dr+TXQwfz/2B9YV5KKVSPFQO1Pfa31FlNIh3bN5C1/e7cFm2EJcVi8eUhtuTyUBchkCsjy9ztToUUhnP5Nga/nyx7ia6BwfZb6hmb3U1R5pObxjQ8Nrr9BcXnx5EIsFtyVLcl6+wk8+ePoifupnDvT35n7Qk5obo8XW2LeqV1dVz2eJFlNfWYentwS1jAT6rr7Krfy62xxMvtQMZoVp++PwTugIjiKwrYtMH71F0opKs6mb2Ha/ikKF+zAYaF6K4RxRFBEHAy9JLFI1ccsmlLF6yhL9/tovP9h/B28WRlQmz2FdcRVVj+9i5nm9e+P6NNJfsZ86Cy7j1zgeZG2/LhctkUrr7Brjqt2/Q02Xrqji6Z8t0bdqOnf7bNNBF4danMZv6iV1yF65uOgQBnnjoapLj9SgVMvr6TeQXGdi89TA5BZXTsDc5T7u6YieVZVtx8wwjPuk2VFIZMpmU/n4TmRnhPPbotRe3IvIUaI+W8wniYANyT6UDrSeZJ/fELOCumHlIBIFBi5nDbXXkNBp5tmi3/QXCk/Jjg3iIqweZ/jpyGoyUdbSySBPMhpVrqOxsJ6uumv11BrLqjLQOjGXUWHr76Pj0G1xXL0Pm6T4tP6bavVAiCPw2cz7zdPrhSs3OgQGey81i/bbt1Pz18eFKULmPD9433oBSpztpY5LxJzjnU63SnBeiI1Ep5eqVKxgYGODh3/+eVWvW/n/mzjssqjN9/5/pQx16ZwpFEFRQEKWIxq4xxZhejEk2ve2m7WZ3v5tsdpNsymZTNr2bvukmmqiJigKiImJBQMrM0HvvU87vjxEUmKEoxt97XV5eU97nPecwc59nnvd+7pvM8gr2NbZNOSvF0dxuQwkVn76Ja1g0PpYebrr/QVZfcinx6iCkEjFdff2sfeljalo6kEnEZ8VIsTfEVlupqn7fVnwTFlPy6b8ZaG9CvWo9/lEJNvqqyczKhCj+tcFmvVXd3E72cQNZBbYNzQHz6AM4ExC3mPqRiuWneOEuKmIufRipwlb/dpXLSYpVecNf6gAAIABJREFUE6Xx441vbInB03etIcRPxd7DBrIP6ykosyO8dUa8cIETu9+jtbaQ4OlLUM9YNex1J4mEOTPUpCSEkZwQxhc/5PLl5jzcXZVce/Fcsg+Wc7y4xo4I2OQAvLujlrysVxBLpCSm/AGlk8eo92iDvfjwvdv+/wPtkeNMQHwwm7D7PqsIN5mCRJ9QknzVJPmpcZUpWPHTmwA8MGMhUpGEfQ0V5DZU0mUezVKA3x7EA13cWKWdRkqghnmBobifzJyXfv0upS0t+Dq50Gc20WkaQLBYRtdIz1L8aiKlFG8nJ5JD1KSpNewy6Pn0pZfxLtOzfft2dhcUsN9iIae2hrY+O40Y54gfbu3vR//UYwgm29/xzjvv5I577mFWTAwAzd09bC8u5bHNv46x9jjHNgHgqt38BW35NgMAsVyB9qbfI/f2w12mYF54KAm6YJ7bshtBgMfXLiVRF0xmsY2RklteNSUWbN1Vpei/eh03TTSdhkI8ohNRr7h21PuCVe6kTNeSGqMlaVooLko5S/78Js2dPUQF+WK2WCmvtcd9Hv86CIKV8m3vo1l4FYVfP4+pp4PIlbfjHuSYFw5w5ZJ4lsydxqwI202uvauPr3ce5s0vs8Zd097obqzE1SuEhvL9lO//H84eQcxYdh9iiXRsWiEiLBYrc+M0PPfny5BKJXR09rL/sJGc3HL27C+lZ4IekYJgRWwVYbWaOZT9Kt0dNUybdQUBIYkO52Vs/dP5Be2IF24d9px5otnzOEDec1RPZ04hquVJyEMcmB0MxrLanHIGs+w3Ui9nYWAEcokEi9VKQVsd35QfY+OJ3DHj/JYgLraKmeHtz/xANW8d3Y8APJmynKujZnGkqW6oHp5bX22//PNbcMRNZioe+yczZs7kmTdeJzUqGjeFAqsgUNBQzx+3baOoaXSn4an446w/QRDvyDtAw1efDT2vSk3HZ9ka/FTupOjUpOk0mKxW/rJ5OwAvrl1NbXsnmWVGciuqJ+1qb3cz1mKm5IXHsPad2rwVK50IWbcBF23kqLkXz57O6rgo5oaFopRJ6TeZ2XK4mL9+uW1k6FPxJlBKqdnxNS2HbSAnlsnRXXkvSp9AJKNoSaeGDDHTQ/04aqgD4OXbLyF9Rhg1LR1DWfj+4gp6+kc3HNm7Ft31Rk589xIKdx/6O5rwjV1AaMraEfPG4D8rFMyLVZM6S4e+toWPfspFJpXw3wfXkVdYSdZhPYV6O/zn0xkwgsCRH58lNP5CyrI/RbCambn89zh72POIdHgouClkzJ2lJTkhjPmzdXh7unDlXW9TU99ORKgPEomYE2MYDleVZeATOJO6igNUlvyKl/90Yufc6DDhFFmE8wva3tFaQfP8zZgcyaJydiBe98o3dOw6jFOsFo8Vc3FOjBnd4GIvllWEUiJljncISX5q5vlqyG2q5N9HdyETi/nkguvJb6ohp76CAw2VdJhGZ43w24H4IDMlzieAJeoIUoPUxPkGIhNL0Le3suirtxFZbaYR1V3tvxlHvDsvn94TpXhdugaxUokUEbP8A0hTa0gL1XDnlk209PZy7YxZLAuPINNQQVaF0SGQnymI17z1Or1lJYidnPG//BpcpseOes/gF1omFvP21WtJDA1CLpXSZzKzv6KKj/fnk1HqoI45gSy860QBVV+8O/ScIiCE4MtvRKFybO4LpyzY0qZp6ejt540dtkz9s7uuprimicxiA3tLK+i2w1kfCeKC1UrxW3/HfNqeiEThROiF63HVRJ2aN875BLi5khqjJS1Gx7woNS5KOfnlNWz4zxeIrBDo5WbXyX7w71ed8wMNh3eefFJMSMqluPpqcPa1r2E+Hi8cIMDbjSfvuJDYMJv8bUtHD/uOGvhkSy4llaM/Tz1tdRz74TkGt9BD4y8kKHbxxNZ08DmUWAXC1b6UGm2buY//YQ1L06JpaukiJ0/P3oPlHMg3DGvsyd/1EiKRhM62SqRSJQmLHkCuPMWcsXccu7f88fyBdmJiopC1by8F7dXkN1eR12Ikq6EMszA1IG7p7sX4+9cwt9godBIPV1RL5qBaloDM11YvmszmJoC/kxsvzLuY2T4hKCRSrIJAYVs9z+bvZE+t/S/14PgtQdxFJifJPwQ3uYJN5YUA7L/6LpxlMvbVVZJdXUFWtZHiVgeZ7hSUUszt7UhVKvuvn/Zxuip2JjfPTiDSywZgjd3dZBgMPLJt6xjxx1n/5LU2tbZS8cw/UWp1+F99PVIPjwnNd5ZISVKHkBamZUGYhnf3HeTL/GMEurtxb9p8MsuNZJcbae+bmA1bzdcf03nUJgfrkZCC33IH5r4TyODdlAr+sW4Z8yPUuCkVmCwW8o21vLVjH9klFXbnii3QXVmK/n+vDT2n9A1GffEGmwTtGdIKZYiJ19nKFTnFFShlUjKeuZOWzh6y7GThgiBQ+MlTDHScKq0oVL7oVtyEk2fABK+DYyzycFYyf4aW1Fk6kmdoeeCl7zhaVktsWABJ0Wr2HtFzwthI9ZHtVB8+ZRzt7BmMlzqOoNjFo7Lcs5GanT9bS0piOHPjNLi5KCk1NLDhwY2IrOCiMLH1iz8Pvd9fk0RQWBrOzj6IxY4NH84raPvHhAnP/fgR8Z5qpqsCEQRI2/YkA1YzF/jF4iJVcKilgoruFocxxgPx7vxSKp/4ePiTYhGeF6fgc93SUeyFiYK4XCwhzjuIeb4a5vmpefHYbg42VZHmr+ORuMXsq68gp97I/v9PMnGxSMRKzTRSgzSkBmnQqWybk28e2c9TB3YhEcQEubhRdaYc8Smohwe4upIaasvCnWQy7thsk099eslyuvsHyDRWsK+qkl57eiQOvjxtO3dgHRjAa/FyxzzoMeaDDUAGKY0pOjUvX3Yh7kqbecDR2noyy4x8mnuYZjtiVwBC3wClz/0NBAH/i65AFXfq+3Y2dDqZIGaWOpAF07SkTdPwyva97C62WbCtT53DnmI92SeMtJ9UBqzd/jWth2ylEY+YRIKWXo5YJh8d+AwBHMBJImVVQjRpsVrmTVPj6qTAZLbw+Kfb2bKvkN7mGoq/eH7o/e7q6aiXXe/QVHe8azAWoEoEEQICggDrV8/l3itsXYUNrV1s/mETP3z3FZs2bcJiseCliUOXfBUSmeKcUApliJgZFYSTUs7evHIkEjE/vns79fW1bN68mc2bN5ORkYGvOhlt7Oohswh76+354ZHzB9oukYFC5Iu/A0AhlqJ19aW4w+ZO/FrSelJ8bbW+5v4uDrUYyawv4+uKg+PGHQnkdW/+SNvWU/Vot5RYAv5wuV3d5pFjspl4ip+Wu2JSmXNaJn68rZ5bdn4xJkccpgjEJ7ipGezqTkqgmuLWJo401THTJ4AfL1mPoaOV7OoKMqsN7K2ppLV/dAMN8JuA+OB456JLSQ3VoJBKGbBYOFhbzWeHj/LjieIx4tv+N7W22NUJPxtWilQQMSsogLQwDWlhGmYGBZD+8ts0dfewIExDoJsbmWVGajtsJYLOY/k0/foTQVdvQOk7umY60bUnuhm6LDaCxy9bioezk+3GUlVHZpGBxzZcSUt9LQGLL8FzdtpQRnmuNMMHs/C0WB0/7DtOWV0zcfI2nrjvZn766SeyS2oosfrQNzCS+zzOeZ4hqPq4Otsc7GOCmR+rpr+/n4CAQIJmr+DiyzfQ1NaNsdYOxfEcgLhSImGOpo3F6UlccMEFODk50d3Tx3/e3cnWHQVjrjfloC0SiSRALlAtCMKasd7rEhkoRL9886jnLVYxIkSEufoS76km3ktNvKeG8q4G7s/9BIC/z1pLbU8HeS0VHG6ppMdin+EBMNBlQv/AG5jqW0EiBosVjxWJ+N+8EpHM9jNkqrnicrGEeO9gknzVxHkHcdue/yEAj81ZzmzvEHLqjeTUGzlwrtkpEwRxXycXLtRFkRakZX5gKG4nmSnrfviEg3U1uMsVDFgs9J2nTU2lWMrcoGBS1RoWqDVsKi7irbwDuCsU/OOCpWQZKthjNFDbZUdZ7hyrFrpK5XSf9PF89qIVXDrLxkopbWwms8zIz9u3c7DfivhkU9Lwtc983bHmSqwiZoT4kzZNS9o0LRF+XgSEqvFZeRWXrlyOQiIl64SBlu7RN+UzpRWOl4WLLOBdtot7b7+ZpcuW4+rsxIDJTF5ZNY+8s5lOO1rhg/McxjwDQK0/lkFd3hYio6ZjCkjCIzSG7565mWA/D6ob2sg+bCDrcDl5hVX0j2DsTBWAm/q7yf3h7yBYUXkGcP3tj7Nk4Ty27DxGYWkdc2aEcveNi9ibW87e3DIKTxOWyvzu4SkH7QeARMD9TEF75LCcBCa5WMqA1YxMLOGD5FuJVgUiEYmxCFaKO2rZWLqXzdVH7cboLjBi/Ofn6P65HuPT/8Pc2I5TjJrgh65E6mFfVW0iQD7ZTPya8DmsUccw2zsYhcTmAbmjpoQ7dtuszk5nsYwcvxWIi61iZvkEkBas5e2jB+izmHlgThp3zEoir76GzGojWdVGjjbZtzr7LbPwmX7+vLXmUvxdbX/D0pZm9hiNfHDoEJUODCDOJYiLrBDu40V6mJa0MA1JmhCK6hu54oPPAVgZFUlpYzNlTaNLfueyucdcWgi+wchc3XnrprWkTtMCcKyqnsxiPbsK9RytrBs1byqz8L7mOgw/vo92zU24eQcxOzyYtBgt0SF+3P5f2+f/rguTcXdSklVgs14bSXOciiy86MdXMPd3E7H0ZpQqG7Ms0NON1Fk6UmfpmDtdjVIh47vdR3ny/e2ILeDv7UZ98+S8T8cC8cayA5Qd+AI3by3TUtYP23wUWwTmzAjllqtSmREVhEQiprW9h5w8Pa+8t5OfPr536kBbJBKFAB8CTwIPjAfartMChRmvbBh6bJqgndggiDtL5MR5hhLvpWGOl4bvKw/xY3U+oc5evJq0noPNRvKajRxsqaCyu4WOfcW4z4vC3N5N5bNf0X3MSOifrsAlaTSbwN6YChAXrFbad+bju3Qe8W5+xDeD2dOFdztKANh14d009HWyt85WEz/YVHXGHZsTrYdbOrvp3J6F6pIlo+q+g8yUeN9AVmmnsSBYS6y3rSW7pquDlC/eAKvNuq2t337tfqIg3p17CJm/H/LQ4GEvTwTEp3l5s0CjJU2tYV5wCGs++5jy1hZSQtTE+QWwx2ikoMFBE81pQGDt66Nj3z5UaWmIJJKzzsKdxFJ8XV2obGtHIZWQ++BdKKRSato72FNmJLPMwF595Sgfzc5j+Sh8A1H4jtY7n8i646kVTg/0I22algVRWuLUgWQU6bn3I5ux79LpEeQba6hvbqa9IBfP+NShUuLZZOE9dUYUnn5IFPbcmmz//9/VS1mdGI2TQkbfgJnc0kq++mEr245WoFBNTqbV3jUw9XRQkfklugXXIJHbr6MrxBLmRIfQ0tHDiYpGwoO9+fyfN1JcXsG+43VkHzZwpLTmrNrri/e8j1Thgi7hMiRj6PGpnBTMi9eSPCeMmMgAll92H0X7PplS0P4KeBpwAx6yB9oikeg24DYAuZ97wuyNdzmMN1EQh1NADhDu6sc9UUuZ7aXBQ25z3mjo6+DBg5+R31xjy9gHBujIK8E9KWpUrKniisNoEG/6eCs9h0vwvm4FjW9vwtzYhiIsmKAn70AhkXJf7ALm+2uZ6RmIVGxzXn/uyE7eKzyACJCOYXV2JiBu7e2n/pm3GdBX4XndGtyXpo0d46R6YUqQGl8nFz44bmNE/HTpBjyVTmRVG4cy8cZeBzV8OyDcX26k7oXXESsVBD/xZ8RKxy3344G4QiwZ4lY/mJzK3XPnA9Dc20N2RQW7DQa+OX58FIALgkDTx5/QdegQnqtW47l4yei1zzILD3R3Iz3cxkhJ1trYHy/syuKNrP04S6SE+3iTd+QIxtf/jUiuIOyBvyKWj705NpF1xxoqmQJ3JyVVre34urmw68+3AXD4eBE/fvs1++o6MbgGjOr4O1e1cIVIQkJEMGkxOlKiQti66RvuffARYm78K/dfsogDJyo5WFptRwfEcczBa2Du60aicBrmCm+bO4axgYsTSf49LJoXR/rChchlMjp7+rjn+W8oKh3962TkmiOH1WKmufwgvrq5dpgqjs+hp7mKIztfRhCsUwPaIpFoDbBaEIS7RCLRIhyA9unDdVqAEPfqjcMAd7wxmWx8sC4+x0vDHC8tzxf+RHN/F9frkrkt8gLyWyrIbTZysNnI8bYah1ZnUwXi7b8cpP71TSASDbV1uy9OwPuGFUhcTt31rVYRrlI5ib6hJPtp2VVbyt4GI7GeAXy++AZyGyvJqa8gu95AQYuDEgXjg7i1z0L9C+/TX1iOU1w0vvfdgEg6gmExQY741VGzSA/WkhKowVNpO5d3jh3gn3t3AaCUSB3Wwy3tHdQ+/RKW9g58broWl6TZE15/Ilm4j7MzqaEa0jVa0kI1dA30s+Sj9wFYOy2Gpp4e9ldV05SdRdMX/0Pm50vQH/6AWKE4p232MsTEBwdS3d5BbUcnS6aF8foVl9DQ1MS2n38mu6GVQ4KMlh47aornqBYutkJUgC9zPRWkaPxJSUlBKpXy16+28e3BAlzlcpQyGU2do2/IU10Lt1rMlH7xEtb2RvxSL2X2opV8+egNKGRSevtN5BRXkFWgZ0d+Ka1dE1OcHHptEllxq/4w5Ts3olD5knTFo8yPCydllo7/fLaLnj4TN66ey6I5EWTn68k6XE6x0Y5X5VnWwq0WM0d/fYme9lqAKQPtp4EbADOgBNyBbwRBuN7RnEHQHjnOFYgPjkQvLauD45jjpUXrapMH7TT1sviXZ+gzCQQ6qWjp76bfar8scSYg3nNUT9U/NsLgTyqRiMCHrsRl7ozx4wwpGXqxPjKRZH8N01SDbux9XLfrE4411aOQSBmwmO2WAEYCuGCx0PDyp/TmFaKI0uL/8AZEstEbZcMPZNxDRWQVE+Plx4JgLUUtjeysKifY1Z1dl99KXkMNmdUGsqqNHGm03WwEs5n6F96iv9SA29IFeK27+KyOYTwQFwvg4+xCY48NdLJvvo0AVzf6TCZ279rFtm3b2O/jQ5XcvgnA2EBwdqUUT4WS+M5m0sO1rFi1Cl9vG299+evvY2xqQ6VU0NU/YPcmfaYgbreE0NmB/u1nsfT1MvO2R1iyII2Dhmqau3q4Imkmj69dSmFNA7uL9GQWGzhcMVoDZCqy8Lq9P9Gwfztu2hi0F9+CSCTCSSxl7rRQUmO0LIjVEeyt4p7XvyXzuIEgD3cCvdw4Uj5aeOtMAdzc1UHBN89iGegl+sJ7cfHTjJq3OmU6ly+OJ1YXgFgsorG1i4yDpTy3ccek13ME4JVHfqL6+K94BsXSWlMw9ZS/yWbaExkTBfLJgriX3IU5XlqCnD3YWG7jsL4z/2biPEM51lZNbpOR3GYD+WMwVMYD8YGaJgx/egfrCONTqZc7wX+5DoX2VFPBRDc2vRUuzPdTk+yv5clDv9BrMXF/bDrXRcwhp8FIdp2RvfUGDJ2jKUyC1Urjm9/QnXkIuSaQgD/fith5NGCf7abmYBYe4OzKhtgE0oI0zPSxnWt7fx+3/vItP//7v3Rn5CCL0OL/h1t/c70UJ4mUuX4BzGlpY1naAmJiYngnL5enMjOQChJWRkSSVWGkdYq1UuzN7Skppub9N5G4uaG992FmhoUxTxPCe/tsJagnL1zGiugIsvQVZJYa2FNmpL5zcj6M4x63RaDy87fpLi/CJ20ZvgtXDZun9laxfMY0FkRph4Su2np6WfbMu/T0mYaZZZw+JpuF99QZKf/8FSQKJdOufwSZy2hPVZEFwgK8qGpqZ8Bs4c7Vydy+aj6dPX1kFxnJOmYgs0B/xlm4IAiUb7dZsPnHLyF47oXjllFSTm5mAvz5dZt2+QPXLKKusZ3MQ3qqGkbLLI8H4l3NFRz75b9IZUpmrXqIvO+fOH+g7RYVICS8NjwRN420+HAwzhWIAyT7RDDPJ4w5XlpiVEFIxRKyGkq4+8BGLBYxid5aitvr6DTb33g7HcQtnT0Y/vQOplobW0Di4YprQiSuCZEoZ4YjsQOWp4/JsFPSA8K4SB1Lsr+WwJMi8iXtjazY/DaC1Ypl92EkC+Np+WgzHVv3Igv0IfD/bkWicv1NmCmD9fDUIA0LgrX8/fX/UvTS29z3x4d58NFHyayx8cOzaipot7epeY4AvOnzL+nK3odz3Ezi7r0bRFDX1cXcoGC+uPxqrILAsYZ6dhsM7DEaOVQ7OpOzxR9j7fFKVR1dVLz8vE3n+6bbcY4cvtcissKCMA0roiNJD9cS4G6T7d1VWs7tn9makBxqmk8iC2/NzaL+p69RBoagvfH+MRuS3GUKkiPURPh789qvOQC8uv4SfN1d2FOkZ3eRgaOVdaPMKMbLwq0DA5R+/AIDrQ2Erl6PKir+1NwxzsVVJmd+lJq0WB1pMTp8VS509w2w8I+vYzFb8XF3obmz244no/14LSdyMe78FKVXINGX/gGxRDpi3vjt9TKphI8eu47wENsvemNtC1mH9fyUdZwTRjva5SPOz2oxcXTLf+jrqCci5Xp81PHkfP7Q+Wuu8YwOFuJevWbM90w1iNtiThzInU4yVExWCwdbDLhJlWQsfxSAEx31HGgykNtsILfZSIdp+B3darJg/PsnWPtNuMyJxDVhGgpdgMOmnqmkGGpdPUn21+EhV/J6YTZde4/y802P4uLtyS+bfmTX/hwKk3V0u9nf8JsqZoqj0W+oou7JNwC45t2XWZ++hJQgDe5ym6BUfmMtV276zOE+AzAlIN518BBNH36C1MuTwEceQOJ8am9BgoiZfv6ka7QsUGuJD7BtDl/11eccqKkm0MkNiVhMVcfoLtLJZOGCIFC38X16jh9DlbYQn4suGTcTjPT1ZkGYFpPFwke5+YiA7XfdxInGZjJLDewuNVDdbue4xrgmA00NGN74NyCgvfVBFD7DmSsTAf/1qbNZGhtJvCYQidiWhX+cnc/r23Mczh0J4rU7v6U5bw+qqNmErr7B8bzxavPBfmj8PNiadwKAzx+5Dl+VC1nHDew5pienqIIuO9xwkQUGutoo+vJZLOYBotb+AWcfG6PpTGvTId4qUmfpSIsLIyE6hBe/2M2Xv+ajclWSPjOMvUcMtHSM7qitzP2B2sJdeKlnEZG2HpFIxL5PHjy/2iObM7dxrM1IQbvtX0lnFVa7+YJtTBTE4dxk41KRmHhPNXO8tCR4a5nlGYqTRM7Tx37gC+N+3CWuJHpryW020FDfgEgkQurhMirWROriUwHiVqsIwWql6pH/cte6a1i2bBnp6em4ublhFQTeKcrhX4ds4j0KifTc0QtP+7BbOrqo/fsrWFra8b7lclzTbJ8/sVVMvG8gqUFa/J1d+Uu2TdHuzSWXIpdIyKwysrvKQGnbaElQW+DJgbipoYnaZ15EGDAR8MDdKNX2LdjAtqHpJleQEhrKr/pyzFYrf0pN57aEuZS3trDbYGS3wTDpNnuAjn05NH31JfLAQILv/j1i2fB6+kQ2Fl3kMh5avID0cC2hHja9l7KmZl7YkcUvxWVjzgXbHkfFe6/QV12B36q1eM5bcNaMlORIDelRWgprGvk4+xBOMilv3nQZe0sr2FOkp6C6flTW26MvwfDl6zZn+hsfRup02ndnnDXHc+1ZlRDFglgdKTFaPFycMFksvL/9AK//sHfYewVBoPzHt+isLCYwcSUBCcvtxzxDAHeWyRCJoKfPxIr50fzz9tVYrQLH9XVk5ZeTla+n2NhAZ4Oewq2vIlW4MPPih5HLbb0I5xW01TMjhA9/+ZJYlRY/pScWwcrFe/5Mn2WA2R7RKMQyCtqNtJlG1+1OH+ezpCIVSYj1CKKqp5Xm/i5WB8fxVPzlAJR1Ngxl4rvrS+gdo2tzKkDcEYB35RRQ98LnQ4+VAd4svPEqll+xlsKeFnbUlBDo5MaOC+/mUHMV2XVGsusMHG62z6g5k1KKYLbQnZOPS3I89c++S39ROW6Lk/G6wb4Pn3AaAP957iKWqiMI97C1o9d2d/LBsTzePLLf8QGMA+BCv5m6F15loKIKj7UXolq6aNjrE2GlaFQeXKDVka7RMi84FCeZjPquLpLfexMsInycnWnqsa9HMgiIAw0NVL/4HxCsBN//B+QBAWdNKwzz9mRBmJb0cC3v7jtItr6CmYH+3LNgPntKDewuM1DZOrzxqHnnVpp3bsU5bBoh199m99fgmbMxbP+rvVX868pVzAyxbdg1d/WQWWzg3YxcyuqbsfT3Uv7+85g6Wgld9zvcwmPOSXemVBAxUxvIglgdx4x17DxSRoCnG+/efwWZx/Rs3vITX778BCI3X6Zddsq781z4ZoqsME3tS1pcGGlxYUObmRf+/jV+fe8xfFVKPGNW4eQfPTRn/0fnEbTdo/yFuW9cB4CPQoXWJYDcFpuexDNxt5PoZavrVfU0cqzdyMGWE2yvyxs37vkFcTExqmASvLUkeumI91LjIlWw8tfnqetrZ7aHDm+FK7nNBpr77fOYp4piaLWIbaa6f3yNAWP90POyIB98NqzGJT5yqB7u7+TGjZGJpPrriPEMQCwS0WXq587Mr8iqNSI7C344QPeBQpo/+BaXuTPp/HUvikgN/n+69ZRU7gTq4UEubiwI1rIgWEdufRUfHM/DVSbn01VXsbemgt1VBg7WV9NvR/96JIi3fLmJzh17UMZG43fXTYjG0JOGiXHDk4JC8HFx5rsim6rirzfchJNMxh6DkQyjgSzj8Fq9YDZT8/IrDFRV4X3JpajSFthf+yzdewAWRej4y7JFaLxsKof65lb2lBr47+691JeVUPH2y4gVCjR3P4zM3WPY3MmuO14W7qlQkjpNS3qUrcX+lne+pqi2EU1tEXGBXmSWVdGimzNq3rlsr9f5e3HfxWnMiwrFWSGnp6eH/cVGXvphn13LtcF5DmOeIYh7uThlMPm6AAAgAElEQVQRPy2ED19/nobju/l+y3ZWLF1EXlEVmYfKycov5/v/3Hr+QFsV7S+kvHX1sOcGLDbAlYtlTHMLIValJdZdS4xKS1lXDX88bHOXuS/yMpr6uzjWbqCwvYI+q+Ms9nyCuEQkJtLNn6KTQlhPxV/O6uA44FQmvr9Jz/ba4w7jnE0W3rW/iJpnbAYAIicFXldcgMfKeQ51xa1WER5yJ+b5qUnx1/FqQSYNfV1cH5HAvbFpZNcbyKo1kFVnoKbHviKgPRCvf+4Deo/YaosSD3cC/34vEg+3MU5ojJPlVCaucfPg2QWrSPAPQiaW0Gs2sa+2kudzMznWVD9sTnfuYZTTI+kv0dP42odIVO4E/uUPSNzsyBiM+aUbPwsXAVfEzLB1aYZqUJ1UBfzvgRxeyrbVd9u2/ETrL7/gFB2N/62/G2q0OFe0QpEVNJ4epIdrWRihZUaAP2n/fo3SV57lqpUrCF20jP295lFZ+ODcs1nX0ZBYRVgFgc6SAjbEBPHEE08AUNfeSWaxgd1FenYeLx+1mQlTD+KCYKX6h3dJjAzlyt/dw7JFC7j5xf/R1NHN0vhIYkL82FOg56jejs3ZFAJ4Z10ZJ7a8jszJlesfeZmlyTNJjQtDE2BT5jyvHpH2QHvkGARxABeJkm5LHxKRmNcTHyDcNQgAi9VCaVcNX1dmsq1ufBVAmFognyyIT3cPJNE7jERvLXO8NFR0t3B1pk3n+IrQ+TT3d3Gg2UDbgP2f1hMFcUEQqHjkTfrLa3FfPBufa5cg9TwFlJNhpiT7abhcF0eqvw5fJxvIlXU0ceGWdxmwWhCLRHa/WACmhjaqHnh+qKFIJJOiiAjF+5bLkPl7TwkrxUUmZ15AKOnBWtKDddy54zuKW5tYHBrGKk0Ue6oMfPOXv9MuEdF7+DjWnl78H7gNZVT4OacVDpo/LNTo2F94nOyONoI7Ovnuznv5ZedO9kmlZNbX2S2lnMvmHqkgovaHr2nPyeSHX3ewZvEFwKks/JfiUvYZqxysO8YxTRLAzN1dlL/9LJbubhLvfpTli9JZGBVGcqSa7v4BlvzrHQCSw9XUtHZgbBpNm5sKAG/K301Nxnc4B+oIv/xuxMKpz+W9F6WyfkkCMomE9u4+sgsNZBwpY+vBE/bP8wxB3NrXx/Hv/s1AZzPhS2/GQ31KYkPj60FqXBgPXnvBhEB7fLuXMxgiBKQnz8As2P/iyiWnzt5EN3IJDFjgtgPP4yp1IsZdQ6xKxwyVDoVEgkRsxVfhwX9m383RNgNH2/UcbdNj7G5AOG2DUzbir+wIxCUjbsv2QFw24j2OQNwWy0phZyWFnZV8UL4HqUiMt8L15PUQcfu0dHyUNmA90VHH/iYD22oKONRyStxeKhm+nj0QF4sEug4WI5KI0TzzOxQRo11BxCPi2ANxsdh2zfY1GdjXZMBqFRHp7kNqgI5gZxUmkRmRBN5NvwpPhdNQFp7bWMnASUeirowDnL7jJPFW4XnlSmT+tuYR0YjrNwrERx7WiA+9SCLQY+1nZ00pO2tKEXJOAVmQizvLtRFcGTWTly64kLy8PLZu3cqLB/bYABtAMuJmMxKEx1lfkIzMuobPNyOQV19LXn0ttS+8gtelF9GcuZdNwRpWX7aWq1S2ckRBYwMP/vQTJ5qbT4s94lxHutGIT609EsAdzR2Uq20vKaQ9JxOJu4r7d2TzYpGeheE60sO1XDlnJgEqV3IqbaB9SWw0eZU1VLV1nFz3tLijrsdYxzv8MRaBup+/wtLdhde8RXR7+PBt/nG+zT+OTBAT5HmKn/3UlSvwc3elormNjEI9e4r1HCivYsBs4fSv7ygAH+PvN/hR629poDbzR0RSOaHLr0YkFg+jQ7y8JYsPfsklOVrDglgdqTFaQnxU/HzIBtor4qdRVttM2UnfzIleg5HXrvrgZgY6m/GKnDsMsAGMjW0Yfxm/PDwU+1xk2h7RfsKCt6+y+5ojELc3Ts/GAUKcfLk5bDUz3HV4n1TP6jD18PdjH3CwpRylWI5FsGAawyHnfGXiUpGYWI9g5nqHkeilJc5LzcayLF4v2YFSIuOOiCXsb9KT11JBt9m+lOUgiPfpa1Fo/O1uKk0VM2Vw3BY9n8VBkcR7ByMTS+gzm/i49CBPHthO5X3PYWmzKaS5LUnC69pViJU28f1zTS0EW5emrriKVLk7y5cvx9/fn6iY6bgkz+HhZ57GLMDuKj3GjtEZHDB2Jj6JLNzU1Ez1E0+DVApmM25pKfhecRnRPr4s1OhYoNFw5+ZNdPT3c/3MOFLVGnbrDWQYDNR0Orbvcnze9o+76tWX8L1oHbUb37Hxwm++A+eI4aa6SrEEDycl9Z3d+Lu5sOc+mx5JeVMLGaV6MkoN5FZUYzpD/8yeSj3OoTrajx6k9rtPkPv4o7vlAbtuPoPzgjzcWRClJT1ax7ywUJzkMj7dm8+Tm3YiEsDf3ZW69tGkBUdZuCAIiAQbu6r8f6/QW2sk8ILL8I636e+MRyn0dnOhqaMbuVTC7mfuQimXUtPczp5jevYc05NbUkm/aeL6KJ2VJyjd8gYyFxXT1z0y5Exvm3cKfw++dx43IscCbXtjokA+COIlr+4iYloky6+6iFm+EWw0bKOxv42Lg1K4M+ISijsrOdxmy8QL2g10OWiWgfNTF7dYxcjEEuRiKd3mfmaognk3+RYUEhlmq4XC9hr2Nxn4yniQqh77myXw29ILXaRy5vqqSQvQcaK9kff/9xndb3xP8YkT7G8wktPbTGadflL18OGvT76UIggCtX/9D6Yam8GqVCrF6YJkPNat5Lu1NzLHz8bBNXa0sqfKyGZ9MXtr7Nt2nU0ppX3bDtq+/2nosXPcTJyio3BNmXeqnn3ya7Yhbja3zE4k2N2WdJxobmJHeTnPZmY6jD+RWripuYmKZ59CJJMhmEyoUhfgc/HaSdTCdczThKCQSvnjD1v59shxVHIFLnL5kOnDyLn2huHNF/BMTKNh+/dYB/rR3nw/ysDQCc0Fm3fm3LBQGjq6OFHXxIwQf764+1qKaxvZXaRnd5F+3Pb65vws3CNn0lZwgPo9m3EJjUS77vZRYlJDc8c4Hj8XF9JidaTPCGN+lBonhYz//pjFO1v3o5RIULk40dA2+oZi7uxEIlMgCFYKv3wOU1cr4atuxV093eH55739wPlsrvETFr93+bDnRmbNY43xQLyvoZPd13+E1FmG5rp5BK+ZiVguJcotlEV+8cz0CCPSNQSpWILZauHSzL/SZTKhdvaly9xHy8DoD+HgOF8grhBLmeUZylzvMOZ665jhEcL6rLco7KghwUtLolc4+5vKOdxa5dAw+VzSC4e9xyqi9pmNBAUG8cyL/yYtJBJ/J1vpR9/ZzN/2byWr3jBmjKkA8YGKGmofexkAsYsT3rdcgfNsm1GBYBGhcfNgYYiO9GAdKUFqvjhxhL/n7EAiEnH7jCQyq40ca6q33z0wCRCv/deLDFRWDz2Wa9T43bweqaeH3akiAcI9vVio0bJQq8NiFbh50zcA/DFlATUdnewyGOzqho9lv9ayZfPQY5eZcThHTsMtaf6ENkLBJjc7XxvK4epaWnv7uC4hjsdWLuZEQxO7Sw1klOrJq6yx3zVqtZVnyl/659Bz3otW4LNoxVlRCn3cXFgTH83CKB2ztUG22nNPHze/8xVF1aM7DwH0H7+MRKagu6oUkURKxI0PI3c/zeXorFQKQzA2tFLT0sGimWG8eNslFFU2sOdYObuP6Skw2kwNGo/uwdLfi6mrjebjOXhHz0O9cHQie/r5/38H2iPH2YJ4ybt7Kdt4AAClnysRG+YRtGI6ZpHtZ5hSLCfaXY3GxZ/vq23aI0/Puo0k72iqe5o43FbOkTY9h1vLqO1z7FV5vsopThI5/RYTVgRuCl/APVFLkYjE9FoGONxSQU6jng/L9p6VWfKZZuGWrl6684pxWxCHSCTCahUR4e5Dmr+O1AAdzx3ZyYn2RlaERPG7qPlk1hrIqtNzqKn6jPjhjgC89bPNdPy8B3l4KL53XIvUx9NhDKkgwUkqo2OgnxgvP35auwGwybpm1hjIqDSwo6LMvnb4GABuamik5rFnhx67pifjddnFQ85JMDFWCtjkeX+69kbCvWwAo29tYZfBwPeFhRypr7c/9+Sfv/rll+ivPPUrQhGqJuD6DUOGx2PNtfuaFUJU7iyPjmBhuI4EdTByiYT23j7SX3mbvn7zKLpoa3YGjT9/P/RY5uGFa0wcvksvHCrlnY1SoZtUTkqkhrRpWp7ctIN+s4U7l8wnNUJDRlE5u4v0HCspp+S1x4fmeM5OxS9pKVIXN/uZ9hkCuMgCAZ5urJwTRfrMMOJ0tk7R5o5urvnXJ+z96Hm6a/UIFjMyV0+ir34YiVw55vkfevM8grbXdF9h2XvrJlW/hskBeV+3md3XfshA66kWc+dQDyJvmk/ABZGIxKJRMSNdg4n3jGCmKowZKh0quSv5raU8mG9jeCzwmY2xux5Dd/2wzc3Tx/kCcTepkgRvLXO9dcz1DsNd5sTKHTYj1eu0yQiCmH1N5ZR0NDg89nMF4sNePw2AlwZN446YFGZ52j7QXaZ+chqM/D7re3rMJocxJgLigtVK9R/+hcv8ODyuWDGc6jgBVoq30pkFwVobKyVEh6+TC9ds+Zzs2gp0rp4EurpzsK56aNN12DgNhNu2/EL7D1sRyWR4XbcO13kJZ00r1Kg8WKjRsUirZX5IKM9nZ/Jefh4eSiUXR04nQ2/A2H6qTm9qaaHqn08OPXZLSsJn7bpR9M+zYaS4SmUka9VE+HrzRpat+emdqy/F28WZjBI9GSUGNv/z/+jWl56aExtH4MVXI1aMpaHueM2J1NDXJc7gynmzmBFy0sCjsYnPNn7IQw89NPRej5lJBCy7HPHJ63EueOEqhYKU6VrmhAfzxMYfKXjvb7z6yitERkby86+7yMgvpi9wJjLn4QJZp5///xegbW+czUbkyGH8/hhH/71r6LFTkDuadfEEr5iOzIH2xmBcESLUzn4oJXKKOytRiuV8v+BJpGIJHaYejraVc7hNT3ZjAVW9TQ5jnS8QV4pl9FltwPfO/JtJ9LYpkLX0d7G/Wc+26uPnjCM+7D0TAHF3mZL5fhrSAnSEu3lz3S6bH+if4hbjLnUis05Pdr3BodmwPRDvN1RjaenAec70s7dis4iI8fajpLWZAauFPyamc1fcfLpNA2SfbO7JqNRT0Tl6Q7Pm7y8gDJjxve0G5CFBk157Ih6aUrGIbpOJZWERvLnG1mlqaGtll95AhkHP1k8/pfarr0EiwXvtWtySbSWRc8kLB9iQNJvlUZHMDrHdlJuamnjxxRd58qmn8F68Eq/0paPNAM5RY4+vswsLpmlJcoOOxgZuuOEGEIl599sfqLIq2F2kp7ZtdFn0XAB42/GDVGz/hEceeYQbb7yRmBhbya68rpnv9xaw8Rf79OX8184jaGtnhgnXfXobhu4qzIJ9zYvBcTbZuNVsZfdNn9FltG3WSZxkJD2zBu/44DO6OQQqvZjpEcYsVTizPMIJdvbh9dLv+aoyA5XMhZUByRxpK6eoo3LMssREgHyqQHwwToBSRZJPGEneYST5hLGrvpCnjv2IGBGPxKwhv6WCnCY9zf32pQN+y3r44PhHwiouVE9HJXfCKggUtNbxdflRNp7IdTh/EMAFQRgFCLbXp4YbnhyoZmGwlkUhYajdPWjv72P2J69gtUC4hxc1XZ10VFbR+s3P+Nx0JeJBQapzyA0XCaBWqWxZuEZHcmgoSqmMmAsWcSIvj5SHH0ESFDQsCz8Vd5x1zyIL95ArmCMMkOrnxYG8Q3zd3In/rHjevPJSssqN7Cwpp7h+dOIz1Y09lr5eTvznb2C1IFE6E3HV79j6/ONoTpbNSuqayCjU88OhQkrrR+vcTBWAGzd/SHvpYQDkKm/SNzzM0rQk0mPDKK9r5rlvMhCJ4C9XLuHgiSqyjhvo7O0/v6CdmJgo5ObmYrKaqOippLjTwBcV39NntU9lGzkmA7iVmZUceHQzUbfMo/jtHMQKKUn/uhCfhNH85cmyVHzkKgasJjrMPSR5RfN0nI0e1WcZ4HiHgfxWPZur99E8YJ8xMTjOB4grxFL6rWaCnDz4LO1OVCft2co6G8hpLOcr40FKOxscxvktQNxqFSEWiZjpGUhagI40/zCOtNbwdP6viEUiXkpeS25DFbtryynvsC8mdS5YKcPmW0Ro3T0JU3myo7IcgF8uuxm1uwf7q4zsrqkgo9rAiVYHv8amiFZobyjFUuLc3fnu8X/gt+EGXr3yGi6Kih6qhe/S69lXVTVk0TY89hjrnkEWXvPBW5haWgi67ibkvv6EeXvy3MUrmRlk01mv7+wio0TPezkH0Tc7aB8/yyy8vSCPmu8+RuEbQMgVtyD39EZkAY2PB4uiw0iP0pGgC+aJ737lm9wCfFydSdKFknXCQLsdVcAzAXGr2UTRG3/DaurHNSQS9er1w8SxBs8jyMudjx+6Bi83Z8wWK/nl1cydpj5/oO0fEyD8+bu/EeEaRpirjkBlAPcdeggBgctD1qJ2DuFEp4GSLj2lXQZ6LY4peTA22AqCQPHGPKJvTMDwYyF5/9qFWCYh8anV+CU5VncbL+7pYxDEVTIXZqrCiPOwZeJhroFs2PcvqnubSPKaTpSrmpzjeZS7ttM3YPsQiEfafPHbgrjZIkIiEhPlHsg8H1sWPttLwwO5n7G3qZQo90CW+MeS02hjpgycoavPVNfDA53d+WjRtejcbI06Nd3t7KnVs/FELoVtjm82vwWIpwZpWBSiY1FIGNM8bXrKHxUe4v8yfwFs+s9dJjvyC+cgCze3tiFxc0UskRLqruICbdhQLVwplXG0oZ5LPv8YLCI8lErazoHpg6Wvl4avP8dv3dVIlKdxkK3g4+JMeriWRRFhpIWpuWbj/yhuaCIhJIgZAf7sKimnYpLt9Y6Ot/rrjQgWC8EXX4tYbr886iaVYxUEegZMrEucwRPrlmGxWjlkrCGjUE9GYTllDaOJCRMF8E79cYzfvYNXfBqB6ZcgETn+rkusImZoAkifYaMURoX4nT/Q9pnuI6z64NJTiyAa2hy7JGgNyT5JBDvZ6n9Wwcqx9uM8WfhfADxlKtpMHQ430wbH6YB7+k/lip+LOfJSFqkvrMFzus26a6IbnJMFcVepE11mWx12g24l14YuQSKRMGAxcSAvl4O1xXzrUjDmuZzLmnhPaR2Vb24j7NHLkHm5DsWRiSUIgoBZsLJOncijsWuQiiX0WgbIb6lgb2M5n+sPOFQvnGwW3vDuFuQhvqiWJw79nSZaSglxUZHmH0ZagI5Ufx13Z39Ndr2BGZ4BLA2KIrN2YqwUU10TLZ9swfumS5B6qU6+fvYAHujixsJgHYaOVnLqKtG4ebDj8t+R11BNRqWBXZXlHG8+5Rbf+uWPyIL8cUlJRDTW+lOQhc8PCUEhkbKtvBSpWMzBW++ivruLXwuOs2njRorUagTX0fLCk83CrX19iORyRGLxmHPlnGKbPLgoldtTkwAob24ho0TPrhI9OYZKO2uOeaqILCBYzLQeyMRzXvowlsh4vpnTXKQkeyu5cM0aYkICAVj45Js0dfTg6+ZCW0/fqEajsQC85tdvUPoE4jUz2eGa9kb1zq9pPpJ1fkH7oo0XjXrefBpAOUucCHPVEeEahtlq4cdaW3PCi/HPopQoKOvSU9yp50RnOSVd+kll4wOd/cjH2YicyJgMiFd9f5i693O5YPVSUufMt2lb+6i4x/gmIpGIm3WrsAiQ31pGQbuRfqt99sRUgXhfTSsFD3yEua0H9e8vxGd5nMM4LlIFCV5a5vmEMc8nnEAnDxZuexqzYGF1cBwKkZycxnKHjT5jgXj7znxqX/kOqa8H2v/chdjJ/t9lIlm4RCRCAKyCwHURCTw2ezkSsZhOUz859QZ21+j5Sn9klHa4YDZT8/ibDOhr8Lp+De4rUuyuMRUg7u/syg3T41kUEjZkwdbQ08Ud278nc/svNL76ARIvD4Ief3C4M/05roUrpVKumTGLhWot8wKDUCgUdPX28vieXXxTUDhG3HHWPcNaeHfBMZTZO7n4yiu57He3MU+rprGrm8WvvgdAYnAwxpZWmrrt6LY4aLQaf/N1xByLBcMHL9FXV0XQ6quJSltMvCaIrUdtLeyv3ngJc3UhZJcY2VVYzp4iA81do4/ndBDvb21E4el76okJ1MLbSvKp2LIRpsrY90yGI9C2N04HchEi0nySiXANJ8ItnBCnIMQiMb/U7+BDw6eYrXLSfJM40VlOXZ/jn8gwtSyV8WI27jeS96dNCCdbUqVuCqbdt5jAJdOHsuynZ91GgmckErEEk9VMUUcFP9XksqV2DO1ozgzEB1q6OP7gx/TXthF0dQqhG9JPxppYTdxNqhyyXHt17npS/SIBqOppIaehnJ31xeyuty+oA8Pb7Y2PvguCgOapW1CGD/66mppSiptMQbKflvTAMBYEhKGSO5H47QuYBSvLA6MxC1Zy6o1UbtxE++Y9OM2KxP/h9Tb9id+gjOKjdGZBiJYLQsL467ZNHP/jk9xz8y2sf+A+djfWsquynCONdZNv7jkLAG/b+gumXXtYecP1XHrnHXxdWMDh+jrmh4Ty1wWL2KXXs0uv51BtrX2j4TOshZ8+z9LTTcWLz2Lp7iL41rtx0obhLJES6qHiRGMzIiDr/tvwcXXhaE0dO0v0ZJToKagd3Qh1NpuZTRnbaNr9My7h0YRedeuwjW2RBVIjNSyJjSA9SkfgSeXKrw8c429fbXcYc7J1cHNPFyUbn8XS1w2CcP5A2zfGW1j30WoA+q2T06Q6HcSVEiXhLjo6TJ1U9lahdg7lyZmPAdBh6qSkq5SiDj17mw/S2O/A9eT02JMsf0wkXmd5M/vu+RJz96lSgkgiQr02joib5iFzVQzFc5YomKHSEecRQbxnBLktxbyv/wmZWMqTM3/H0TYDh1pLOd5udKifMh6Im7v7OfbgZ/SUN+C7Mg7d/Svtsixssca+HoM3Aq2LD/N8wpnvE06it469jaU8cugLAG7UpVPQVs2hlsph9XBLVy+lD76Dqa6VgDsvwmNZgsN1poqV4qt0pbHPxo75ZulNxHkHMWA2k52ZyfaMXeRGe1Fisc+eOZcgLggCjS9/RG/+cW555h/cteFm4n0DEYtENPf2sKOyjIczfnYc4Cyy8NMBvL+qmtp/v4xILiP4Tw8h9fQYauyZHxLKfUnJJAYFIxWLaevrZY/RyOM7dtg1P7bFHmPdMa5n/acf0XX4EB5pC/FZPdosQ2SF6f6+LIzQsShCR3yw7Vq9lX2Af/+aiQhwksnoMY3+tTrRWnhfXTWGd19ELJOhu+MR5K5jNyFFBfiwaHoY9e1dfJd3HKVMytf3XU9OSQUZRXr2lVbQb554GWXwb1bx44d0lBzGJ3ExTbk7zp/K3+lDIR69sTUWkEtPO1Oz0E1x17EhIK/sqeJPR/5GpGs4Ea7hTHOLIMFzNtW9RtpN9ehcNCR5zae4s4zizjLaTcN5mdIRf9GJKBCCYxC3tHaR9+imYYDtPs0X3/k6fJO1SJ3lw+KZ6SG/vYD9LUXD4vjI3XGVOnGDbikbwpbTbzFR0KHn/bJtHG03DHuvPRXDnopmFL5uiCRiih7/hp7yBrxSIom4fxkiiYDFwRfodBVDewA+qIRY2dtAZWUDXxj3IRHZMnEAT7kL90RfgEwspc9iIr/FSHZjOduqCsj+52eY6lrxWBqPz8rZDH5KHSkXnj5GgvhEVQubBzoRi20AfvWOjcQrvZld2smyRRfw5GOP82NFAffv/Q7BImJlaBQHGipp7rf93BWJhx/DSBCflGLhCODo2n2A3vzjyEID2e4pYvsPH+OpcCI9WMui0DDc5IohVb8nkpfS2tvLrko9R5pOmudORq3QgVKhYDLT9PFnYLHgve6KoRb7wUu9t7qSnG8qcZMrSFNrWKTRER8YSIe5DyQC62fNRiVXslNfTkGDrUY/tuLdCIXEk9ez60g+XYcPIfP1w3PlKgSJfbW8442NHG9s5PW9+/FSOpEepuVEYxOCGGYFBfDJDVewv6KaXSfK2VWqH9IKn4hKoWA2U7vpc7Ba8F9xJTJ3j2EZvL15RY1NFDXaGEIiQOWkpKSuiYvnTOfq5Dh6B0zsLa3gte05FJ7UwhmZXw376oqhvTifjpLDKLz88UteQVPuDiYyznmmPZFxNtm4q9SVfksfJsFMum8qN2qvRy62tbLX9zVQ2FHGR8av6DLbd5MZFncSmbil38ze339LZ3kLvnND8UvW4jdPg9Jn+MbORGIO3hRcpEpmqcKJ94wg3iOCl058xfEOI4leUawLWcih1jLyWkpH+W0WPrUZj/hQWvYbaMoswX1GCNOfvgKJwr6y2lTSC50kchK8NMz3iWC+bzgRbv7c++ZT/PeOvxCZlsCVLzxKTquB+j77tMhzxUoRrFZqn/mYnkMlqC5MJerWy3GWyKjobiPUxYNda+4G4FhLLbtry8moKZ/yNnsAU30Ttf/3MoLFSuBj9yAPCRg9/yQIi4DPV19DUkAIYpGIlr4eMqr0fFl8jOyzFLpq/W4zHdt34RQXi++t/4+6swxv48z+9j0jliwzM9ux4yQNMydlSrtpyrxl3rb/7XbLW9zCFrZbTkrbbpu2KaVpmJnNIDPLJNtiad4Pih07lilx2r7PdemDpHnOM2Nrbh2d53fOufZY/Hdo6fUA/zrzXM5NTUMUBBo6O9hUWsYvRUVsKiv1PteLl+lsb6fqny/itliIuv3ufnt3DhaXjvH344oJY5ibnEBSsEddVGJs4rYvv6e82XtFx54gNm78habNv6JLySDqihuHHQvvOZTImJQYxbxRScxNT+SuT74nv7aR8fFRTEmIZmOegfyavjVS3O3tFC1/EZfVTOPZxrAAACAASURBVOLld6ONiCP75d9Rpx2aESRd9ulZ3c8dw0yggZMHuVyQE6+LJdUnmRR9MnG6WB48/DdckouLoy4gQRdHrqmEfFMxhs6KAZN/BgJu05FaXHYXwWMjEBWyEd3cPNHWrJAxXJdwFvE6zw3f4bBwpK2EZ3O+oLGijj3XfYggE5EcLnQJwYx79TLkPh5v+LfWiGuKm8l+7BMsLgd/++VDnpx5OQCGjkZ2NpSws7GEnY2G0yYt7AJ46087MK5YjSoxkuhnbu6V0i25BUYHRDAr3BMLHx8cjVwUuXfnd/xQkYOfTItOoaS6s68UrWv+QKML4pLLRd0/3sFeUkHA5efie9asIcXC/VVqZkclMC8mkTlRCbxzdA/vHN2Dr1LFDRkT2Vhh4Khx6LFwa0kp9S+/jajTEvnoX7x39GHwzcwgjYbZcQnMjU9gdmw8G8sM3P+rR0CwLGMMu6uqKG3pu1ktuDwhovoVyzHnZOM/fwGBZx936k52M7ML4HOTE5iZGMedK3/E4XJx87SJjAoLYVNhKVuKS2mzHtdgW2urqHjnNUSlioTbH0Lu6zfsNYdyrjfPncTdi2YgigK1re1szjOwKc/A9sJy3JJE5aoVtBccJmjKfCJmngfwx4K2tzFckJ+KN941zo88h1nB04nQeOBndzs41HqYlws8HTRkggzXQAWYfsPNTW+2AhQ+jA1I5gz/FBJ9IrjrwOvkv7yWu2ddRUJCAhs2bCDPpwnrOH80EX0/jHB6IG6rbUEVEYC90UT+XR/gNFlIePwyfCelkKwPY+qxePiEoHhUopy5a5/H5LAw2jcWlySR21rT65dD1zjZBB+roZaKv76HIJcR88LtKCOC+p/vFvBRqJgeGs/uxnLa7FauS53E389YTLHJyNYaA5trDexuqPDa0X4ggLd+t4HWletQZyQT+uANXuufDyXFXimTYXO5mBkZxydnLUUUBIyWTjZXlbGpwsCGyhI6vcR3cQm4rTZqn30VZ2MTIbdcg3Zc1pDWHkrXHl+VmharhRhfPzZfdxPgSa/fWFrKRkMpe6qPJ/Z07NtP4+efo4iIIPrue/ttizcSfTPvmDmFKyeMJdhHh8vt5kBVDatzCvl0137K33kVe30t4UuuwHfcxF7zhrvmYJugwRots9LimZueyIyUOExWGwuef5+2vEPEG0uobG5De/bV3bXGc1/8HaEdnhko/emTs4c973SCvCfEfeV6UvTJpOlTsLsdfF31LQAvjnkGm9tOvqmEvPZiCkzFtDi8e1vddk/D5uZQbdkaO9hx5Qf846lnuPrqq4mOjgagzmRkQ/MR3i35eVBbIwHxvEe/Ivyy6VS9tx5zYQ3hl88g8uo5fWwoRTmp+jCy2zxlTN+efC3TQpJps5vZ02Rge72BHY3F1Fq8/82H4oW7LTbKH3oHR00TYXdejN+8cb2PGYIqJVrnx8KoVOaEJzElNA6VTE6Hw8aUVa9hsbvwkSvpcHrXsHdB3GaoovbJ/yCqlUQ+d8/QtOFD8MIDVBrmRCcwNzqBOdEJBKq1zPv6fQxtzaT5hSAXRHKbjyurmj77lo7NO9FNHU/wtZef9NqDeeGRej3z4xOZF5/YnV5/1+of+amoAB+zg+b33qO6rIzIe+9Bdexz6rE7wJqnUB9FdENWZDhzkxOYn5JIZWsbV9x2B82b1vL4K69RFhLFvvLqPk2tT1fPTCUyYgL9KCwrx/DBS1QUFxIREcGRylo25RrYmGvgu/uv+X2hfdXni/q8bnMNz1v+Lb1xAYGLos4jVZ9Cik8SKplHQ/tDzWo+LV+FgECoKoh6W//Fo2BkIT6Yrbw3t1D+1SEARIWMOfddzLnXXMKEkHTqrc28W/IjAK+dcSclHXUcbCnmYHMxJqf3HpUnA3Bbo4lD176NqFLgttjxG59A4pOXIcgGV6YEKLXdqpRpwcmEafzY11TKTbs+xOUSGR8YS15b3aBJPpIk4TS2oQjxp/atVbStP4jvrNGE3XNpv8oZGBrA1TI5U0LiSPQN4qNCjzzz07lXEqXzY8sxL3xnfVmvqoVuq52aR9/CUWsk+PbL8JnmXSN/qrJCwS0yOiiMI8Y6AF6bcy4XJ2dS19nOpspS1uzYxsp7/w+zXCTy8fuP10eBEVOkeBsamZzp0bHsranCZLNxuUPi2b88yKGiIrY0GdlgKOVofd/wzunShAtucNXVYPj3K4RERlFhKEGtUNBhs7HVUM6mwlI2FRlotXjJFh1hL7xq5Qra8w8z+6qbuOTq65g7KpExMZ6knt+1sW94ZpB01ecLh3TsHwnkXRCXCTLitLGk6VMoM5eTZyogShPJ82OeotneQmF7ETltJeSZiqiy1A6Y8Xi6IG5vNbP5suW4rE5CpsUz6u45aCP9+tjSydU8MupKxvgnoZWrcUtuSjpqWG5Yy3ZjzoDrDQXiFZ/upOrjrd3Pwy4Yj//kZPwmJHQDc6jSwgSfELQyJTlt1ejkKjYv+isSEodbKtneUMKOhhLy2vr+vc2F1TSs3IHvjExqXv4aRZg/8f+8FZlO3eu4kaiVArA0cRzzI1OYHhqPTqHE7nKxvHAPzx/cCIDxo1W0r9uDbvpYQu9Y2j3/lGSFQ/DCQzS67vT62VHx+KrU5OTkMP/D19CkpxKi0dFo8bIhfxoTezp27MZ/30GW3nADF11zFeMjopCJIrUd7cz94AMcbjcCeL2DRkITDh61SOWbr2BvqCNs6ZWEjp/CtIRY5iUnMC8lkTC9T3e3nkCVmmAfHUWNfSXEpwpwU+4hqr/9uE8LthCtjjlpCTx96eLfD9oTJk6QVm35ggpzKZWWEqrMBuqslYOmpsPwIQ7DA/nJhlR85D5MDpxAmj6VdN8UApWeQvUvF7zOodYj+MiD8VP4UtY58HWOFMTz39tF9dpCRt09m9AZiYPakgkiafpYxgekcEZACl9WbGRPcx5p+hhuSb6AfU1FHGgpIt9UicuLggL6QlxySxy47l1sdcfDGeqoAJIevgCf1Ih+bAxtQ1MuiJwRGMe04GSmhSQzys+TmPNizk98XrYLJSp85Goabe3Uvr+Gph92I6qVuO0OEp+/HmVy7IBrjATAlaKMCcHRzIlI4ujho6wsOoCPE1Zf8xDrt25hb6SSXS01XkMpp6v9WtcXZcv7KxkrqomYPZVdCcHIBIEDV96JyWZjY6WBjRUGdtZWeo3Tj1Rij7O5mernXkZyOol88F5UERH4q9XMjo0nxs+Pt/buBuCTizwNUzYYDGwwlI54lcLm1T/Tsmkduowswq+8rncSjRsyw0OpbG3DZLV1d+upbG1jU6GBjUUG9pT37Zk53DCKs7Od0v+8iMtiJv7au9FE9VXO5P3jd4xpp49Lln7a9i1RmkTUMo8E7qnsq7C5zST4TEIr11NlNtBoqzkpkLscborWlJF2TkJ3s4Oe47eAeIgqmDR9KgdaDmJ2WTg/8myWxlyC2WmmqKOE7LYi8kxFFHeUjTjEXTYn5auyibtwNDLV8fM/GVvj/JP5c9L5pOijEAWRTqeVI60lvJL/DY22geP5xv1V5Dz8Zffz0LPHkHDrfGQajz59JFUpgUodU4OTONRSQY2llcURo3lx/GUUmer44eP/sXrVD2zduhW3r5qAxePxm5GBKsqzAflbVCyse3MljhojURpfXnz8KRafew56tQaH28X+xkqeP7iRI821/c4fCS/cvC8bZXwktrJqjG99hjw0iIin7kGQq1DJZFyaksX8mERmRMahkSuwOB08sXM9X+Yf7d/2ML1wyeVCkMmQ3G4a3ngfa2ER/uefg/+i+X2mdkkKH5g2g0WJyaQGeYpvlTQ38/7+/XyZ3f95DdULt1ZWUP3WvxA1WmLufwiFVj/APE+BqwWpScxLSWR6fCxqhRyT1crs19/HYnMgCoJHO+9lbr/DKVHz9Qra848QOH0+oQvO8zpvqNA+Lck1bY4mPjQ8joBAoDKcUHU0Nrcnjjo9aD4ZflMAsLrMVFtKKO7IY239yn7tqWQneAMyqDvaRMHPZcx/bAr68N7aaMUJf8GBID6c5J+eiT8tjnq2GY/Ht7c0bqfR1kS6PpV03zSujMvC7nZw6767cEhOUnwycEouijvKeilUTirhRyuQuHRcn2NOxtah1mJu3/8qvnItYwOSGR+QQpZfIh2uDmSimz/FzCFRF83+Zo8n3hPkjWs8NYPlejVJ951F0Mzenb9lJySkeIO44oRj+kvyaXO2s6buULeN7NYqXstbw2RNNHfcfAv333k3FouFpKQkHFY7flGhWPFcp/yE5JzBEny8Abxngs+JAJecTsz78nGbrRiAa557lIjWQ0xKSGVORBJzI5Iwu20IMol5EcksiExlU00JO+rK6DzmhfdM7vEG8J7JPf0l9nTuOUzHtr3YSqpAEAi+eSmiSglI2HHyedFBPss/hEomY2p4LPNiEilsNSKJEpPConlm+iI2VRrYUGFgf321J419mIk9nXsPoggLwV5ZjbWwCGV8LL6LZiPJpD5hlK4/8z93beflndu7qxTOT0hEqRBBJuGnUvPU3AVsMBjYVFpG27F2cAMl9jitnQgyGYgiDf/7L0gSIRctQa7X906i8ZLU02gx88Xho3xx+CgaUc60hFhSQ4I82Zci/OeyC/FRKdlYaGB9oQGDsbl7brfdEwBuyj9Ee/4RlCFhBM/prao7CTX06fG0IzP9pT9/6VEPnPiTWkAkRBVFlDaZaE0y0doUrK5OPip9EoCr4/+KW3JTZjZQYS6mylyC1d23o0lDQSufXPYrKh8F8/86nsQzEwfcdDpxnG5v3FeuJ0obSZ6pAIDHMv5Kij4Jm8tGUUcJOW3FHG3Lo6jDe3JCt72T0HWPpK1r48/k/KjpBCg9Hkp5Zz1bGo7yn8PfsXPpf/AbHUX6w2ehCu7twYyEKmUoXnjZaz9j3VbInDlzmD57Jh9ajuA7OYVnx13KuIA4tjcUs72xmN2NBjqc3uu5n6o2vH1vMbXPf9LrNU1mAuEPLEPmo+1VcvbalInclzUXvUKF3eViv7GSjdUlfFiwx6sHB0Pzwt12B1V3PIVk92yI6qafQeD1S7rjpv3OPQbSSWHR3Dd+BpPDo1GIMlptFjZXlfHkjvU0W713FPLmhTf8ZzlOYzPORiNIEhF/vQ9FWGif44aa2DMuPIJ3z7uQYK1Hvre/toYNBgMrc3JosvQ9L8EF7fv24mhqQnI5adu4Ed2YMYRedY0nieYUNjMBbp0+iTNHpZAZ7mlvVtbcwordB/l83+Fex7ssFswlBWhjkyh760VcVguxN92NJqp32K7nmvlP/47hkZ7Q9jYGuqEvjr6dON0oQlRR3a/tMP7EN9UfAxCujqHBWo0bN59fs57aI54Ng5SF0Sz82wS0Accrpw0nPn66Ie4j9yFNn8Io3zTS9anEaKM52HqY1wrfAmBe6ELKO6so6ig9Za34SENcQCBBF8GEwBTGB6TR4TRz+4sP4+yw8e8nXqbG0sL+5kJyTRVDjod7G8OFuNvh4uiV/8LVYUWbEkHCIxcjD/HsNZwdOYaFEZlMDkpEr1DjdLtYXXOERw58N+AaJwPwure+w7ThYPdz//OmE3TlYo+3d+J8t4BCFBkfFH3MC09GKZOx8Of/AHBp3FiabGZ21pVjcfXVXvcHcPP+XBpe+7TXa+qMJELuvhpR02NDdqAaKS4BvULJrKh45sUkMSE0isXffIhTcnNV+jhPGnuFgbxm713Q3RYHVX95AumYZlyTNQq/sxagiIpAVCj7XXcwgIsSjAkLZ35CIvMTksgMCWXeig8ob2slKzgcX5WKPVVV3fK9+o+WY8nLQ3K5ELU6Yv7yIDKfvglFpwLwcL0P81ISmZ+SyM6yCj7cfQCtQsGTZy9gY6GBn79fRemqr1BFRNGZn0PgrAUELzp3wDBKwRN/YGh7Gyfe1GqZjihNMjHaFBqsleSadqOT+/FIxkfY3VaqzMXsP3KAz1/6lq1bt9LU1IQ2SM3ixyeSNNtLrz7+WBDXyXRo5RoabUZ0Mh3/nvAqoiB2e+LZbUXsbjpAjdV7F+5ue7+TJ+7osKL19eGVcXeQ5huD7Fg8/HBrMd9W7mBvc/9VAEcqwadxZwmGJ78i+NzxRP95IaLihL2PYxuaWf4xzAhNocXWyWdlO5EJIitn30V2azXbG4rZ0VBCs917mYPBIO5yuCm58SXcHRYElYKw2y/Ed+bxBJahbGhq5YpuyeDm8+4gWuePzeVkd0M5m2oMrK8qorLTe3p2F8Qb3/mazm0Hul/XL55GwGXnIXhpwnF88QFPrdsLB3hj3vlckDgKgJoOExsqDKwuLWR7TXn3MeaD2TS+/XEvG7rpkwhatqRXd/pT1YSH6nQ0dHr+X68uPocL00fRbrOxpaKM9QVFfPLnP2Os9ewfyIOD0aan4TdvHgrfgP7tjkBST2Z4KO8vu5ggnRaHw8HmzZv5/vvv+erHn9AtvQ6ZzsfrvK7xu0I7erSfdMf/ZnQ/t7kH/onW3zjx5laKatJ9JxGjTSFGm0qEOgG5qODaa6/l448/Ji4+jqtuXoY0xoQztnVAjxVOn9zwZCGe7pvCKN900vWpxOlied+wnM2N2whSBjIlcBo5pkJKOspxD/CpHymID8eOj1zDGQEpTAhIZXxAKv+tWM/q2t2EqQO4Mm4x+5uL2N9cSJtj5PThAIbXVuM7No7geRnDasXmp9DwUOa5TAtOIlDluZFyWqt5PW89OxpL+p3vDeAdB4upevpTFGEBRD60DFV839oiXWMoAFeIIhODY5gbkczcyGSSfYN5v2AXzx1aj8wtY1p4HLvrK3p1iZecLipufw53pwXkMoKuvwj97L5VFU+pUqFLIFSjY15MIvNjkpgZGc/6yhLu3vQDAEsSM/n5X/+mcNWxhC5RJGDp+ejnTR+42cMg6w7mhWtlcqbHxLEgwRMLD9X5kJOTw+jRowEIj4rCOXsW+kmTTrA78CmdLMRlksDY8FDGN9dw/jnnkJGRQVZWFrmGUuY99Hf8o2PIrvFeYvYPBW1v42RAfuLNLRcUVH3j5vs3N2E0GrnmuqtZ8dHHx461UW0pobSzmC2NP9LuHFgJ0X1ep8EbP7lwig6n5MLqsjI5cCJ3pdwKgMVlocBUxNG2IjY17hiwENZvmejT005Xp6IJAan8PfMa9AotbslNcUc1e5sKWVm5jWZ7387YXWMwiHfB19bQhiq0v3T9wbXhAgLpvhHMCE1hRkgKbxasY39zGWMDYrgqYTpb6orZ0VhMg9X7uTpdIrX//h5ns4nIey9B5qPp9f5IyAqjdX64JIlas4lJITF8Mf8azE47O+rL2FhdwuaaEkr2HKTuuQ+RBegJvfdK1Mkxp71euEKS46tUYbSaidH7sW3pLQAcPnyYn9asYbvKTZ5O7j1Of5pqhYsSRB06irqqhrVr16IKCKC+uooWm431JQbWGwzsq6nG6e67yEhpwgHMxYXUfOgJdyUmJlLVYSbyqht56ZplXDp2NPXtHWwsNLCh0MCusuMlXQsfGyFoC4KgBrYAKjxqk68lSXp8oDlDgba3cTIgry0x896SdUy7PpUdHxQyakIyD624geTQTGK1aURqEnkh7ybMrnYmBi4kVpdFeWchpZ0F1FkrBpUc/t4hlZ4bm+m+qYzyTSfDN51ITQR37L8fk9PEOP8xBCrDyGkroNJS07+t3wHiIgKpvjFMDEhjQmAq6b5xXL7jKVodHUwLyiRcHcze5kLKO72HgX6rglc9bSwMz+TBjLMJ03i+EApNdWyrL+bdoi109tjMlFxumlfvI/CcSbikgc9zJACuksmZGhLH3Mhk5kUkE3OsBvSCe25k++p1JP7lOhx6tdfmBac7sSemxczUug7OX3IxM6ZORS7KuHPj9/xYXIBeoUSC4ffNHCbAJbebyr8/jbu9HWV0FLG33cyyaTNYkJDItJhYVDI5bVYrT2xez6rcggHsDrDmEADe+MM3tO3cBoA2PYPwpVchqtUEqNTMSfIk9MxOisdHpaS4sYlz3v0YwT2y0BYAnSRJHYIgKIBtwD2SJO3qb07MaD/pnq+mdj93DPKBHmgMBeR7vyhl0rIEfnzqMPu/KiducgiXvz0dUS4iE+S4jlXymx1yMdODz0Ov8MS2rK5OSjtz+aD0n55r7dHLst/zGQTikluio96MPkJ32iFucno8wBsTrmVu6CwA2hwmctvyONSaz6bGnQPb+h3i4SpR0d1q7f60pZwb6fmcNFhb2NtcyJ6mAjY3HOnXxm+hSuman6wPY2ZICjNCU0jyCWXR+pdwSW7OjxqHDAXbGopOW8nZoUA8SR/EnPBEXnvhJfTnz+SRiWdyacJYttYZ2FBdzJZaAy22vgqL0+GFN//3B5wNzQTduAx/Pz/mRieyqcqAyW7jxsyJ/N+kOeypq2R9eQnrKkqobPfyy/cUU+utpWXUvfom2vHjCL5iKaLy+OanTq5gZkwcCxKS+Dz7MIfr65gcFc3dk6exvqSE9QYDFW1eGgwPE+CSJFHxwjM4W1rwnz2foMXneC0UphRkTImLRq9SsTqvEFEQKPjbfSMfHhEEQYsH2rdJkrS7v+NOhHZ/42RgPhDEXQ43K27cQeXBZubcnsbc29I865xwowcoQonVpROnS0chKFlZ5WkqfFPi06hkGko6CijrzKe0swCT03tfxO7zOQHiO986jMZfReLcaBRaOZqA4zv3pxPiwcogRvmmk+k3igzfdIy2Jp7KfQ5bm5UL05bQbG8lp61gwAJYpyse7jTbkWkUvSSZXXZCVQFMDExlYmAa4wNSqTDXc/eBNwA4M2wqVRYjOW1lJ61K6Qlwl9WBTN338zMUiMsFGc5jeyT/mXIdU4OTACgy1bO1oYgNtfkcbunblBZ6A9xtcyCeUOf8VAAuSRJut4AgCMwIS+CCuEzmRiQRrPbBLUlsri3hxk3/62vT7kBUes5jIIgPBeCSJNGxdR8+Myf0AZTkEhgVGMKFSRksjEki5Vj3+rzmBs798kPcA22UDtMLb1m1GlGlxG/hggHlv11ywnnxCTw0YzZpx5J6CpuMrC8x8O89u71WTRxKHNxWU031W/8i5JKl6Mcf5+9gahQlEjmPPjBy0BYEQQbsB5KBtyRJetjLMX8G/gzgH6Ge8Lf1swe1622cKsg7jFZ+eT6bs/5vND7B6n7neLvZ54ZeQqIuixhdKkrRM3d/83r+W/kuAMHKcJrs9f164znfl/HLY3sISvGnrbKdxHkxLH7GexNZOL0Q18l0ZP90mP2v7qGqupIgnSc7sNpSw9G2QnYY91LQ3v+mG4wMxN1ONzvv+Q5VsI6s/1voFZpddkQEApR6muwmFIKMb2c9g0amotNp5VBLEbubCtllzKPB5l1JMRDAW/eXUfTiTyQ+cC7+E/tP+x+qF57kE9odCx8fGMe62lz+eugrAM4MH8u+prI+sXDJ5ab00Y+Rh/gTfut5xxJf+o5T9cIlt8DowAjmRiQjEwRey94CwCdzr6DM1Mov2zfz3aMvoLvmHDSjk/rMHdj2qYVRYvX+LIhNIkqr586LL0URGc6Xy1dgc7tZX1HClspS2k8yjGKvqUMZ2XcjeKA4uPlwNn4HDrHs0Uc4a9JkUgKDmf7hO7gkiXOS0rA7XWyrKMfq7JuE5w3Ept27UIZHoImJ73dNr7VR3v4X9trq0+Jp+wPfAndJkpTd33Gxo32lh77uvbZVOkkFyUmGVoYbH+95w4vIiNAkEKdLp8XeQJ5pD1qZnr9lrsDsbKfcnE9JRwGlnflUWQy4JBdV+xv56pbNuJ2eT5BcLWPGHaOZcFUq9iGey0hubNburWXtPWtBFFj8xjlMmDaRTL9RZPqOIk2fwqqaH/mhZjVamYazI87laGseBe0lOPppCnGy8fC8/+yg5PMDBI6LZOorFyHKxSF/Gejkas7wT2FiYBoTA9OI0ATxfslP/LdiPSpBw9iAJA61FPdbBbDrf+owWTh8y0fYmzrIePZP+E9MAEYuFq6VKfFRqGmwmojRBvLDvPsAKDDVsa2+iK31RRxuqaTu2+3UfbQWbWYsCU9fgyATf5MwCoBKJueVKRcyMzwBH4UKq9XKjooillcdZVtdmde5p3Mzs+3HzbSuXI1qVDLLv13J4rhkAtVaHG4Xu2sr+ST3EGvKirxPHqEKha5OM9XPvoS7o4Pwe+5AkxCPUibrrgG+atlVZIWGYXU62FZRwbqSEjYYDBjNXjrEHwNxVxp/r/cGiYM3r19D8/o1cLq6sQuC8BhgliTpn/0d4w3a3sZvCfJTgTh45IaZftOI143qlfzzXdXbrDn0LT/dm0tqfDo7d+7EbDajCVAx654sRl/Qtz7KUDc3TxbiLSUt/HzTzzjMDub+Yy7xC+OB3lUMFYIcq9tGuj6Vh9PvRy7KsbsdFLYXcaS1gM2NO2l1eI/XwtAgXrmtkr0P/4gyQMPsD5b1acU2VDtdXwTRmhA6XVZa7O3MDM7iyazrcbidZLeVsttYwN7mAko6etf3kCSJ3Cd/wLitiIiLJ5Bw24J+1xmpWHiSTyizQlOZEZrCuIA4FKKM+399n9fOu5XA4GDSXrwRk6/3z8DphLjbLdDy3irOkPQsueMmzlm0mH9lb+WHihxidP5clnAGG6qLOdhU7VX1caphlK7hqGmg5vHXEeQikU/fizw4EMEtMj40kgUxSSyKTeZ/hUd5N3sveoWS28dMZV15CYcaa0dUjWL86L907juA79zZBC65oM/7SkFkclQ08xOSWJSYRLSvH6vy87jv15/BJZAQENBvp57+xokAt9XWUPXGq4gKBW6rdcQ2IkMAhyRJrYIgaIBfgRckSfqxvznpY2Ol5364hCZrKVZ3/ze+t/H/C8h1cj/itaMoasjh9aXfcP7cS1i+fDkOh4ODhw+QXX6QKkowRVeBeuDfjSMBcbPRgjZYQ2eDmW+u+wVzK1DX5AAAIABJREFUg5lJ90wi88rMfud0QVwtqkjzTSXT1+OJx+piePjI36mx1JKqTyFcHc3Rtnzqrd4z4aAvfM117Wy4/ivs7TZmvnY+oROjR1SVohBkjPZPZFJgGpMC00n08SRU3bD7BQwdjYSq/LG67BT8sJvCl39FFx/M+H9fiaj0/K2HEwvvbwwF4jq5iikBCXxx69PUHizgyZXv8tiSm8lprWJLfTFb6wvJbvVeOG2kAd65v4DaFz5FHhZA7Et3glLVXRb1nJhRvDL1QhSijBabmc21JWyoLmFdVSHWYXbs8bzv/dwlt5u6p9/Gbqgk8JqL0M/ru/cluYTuwkwzImJZcdafUIgyjJZONlYYWFdRwubKUq/nNVSAm4/m0vifj5CHBBPxyH2ISuWgST3pQcG4JImi5iYSAwJZd/X1lLW2sK6khHUlBvbXVPdR7gwEcMnlouaN17FVVxFy6WU0fv3liEF7DLACkOEpD/M/SZKeGmjOxIkTpX379gHQ4WigyVbMrzUvYHO3oxDUOCQb3ivoeh+/FciHC3GrTeCL27ZTvtdI8qQYLrjqTObNn8Po+PFEa1OQiwqez72RdmcL0dqxaOU+lHbm0+Ec+ItsuBB3Od18d/0vnPP6fH68fR3NRa2MXpbG9AcmIgjCSShTfDEdO8crYy/jrAhPQ4tGm5EjrfkcbctjV9OBfmP7bqeLDbf/QHN2PaNunMioGyZ5PW4kIN5lI0jpyxkBKayr3w/AQ+nLWBQ+kb179/LLmjWUjoEKn3avbc3g1CE+EMBrPt1C3efb0E9IYu5Ld7I4cjQzQ1LICvBkkjZYTZy17jUcbhciwkm1XhsM4I42KxX3v4GrrZOoJ25AMyq+9/xjbddmhSWwICqF2eFJ+Ck1TF71Km12K5m+EXQ67ZS2N3u1P1QvvO3nzbR+uRp1RhKhD93k2TAcJKnHV6liTnQCC2OSmReTiJ9Kzfyv36ekrZk4XQA2l5N6c0ffyf1A2NVppvbpl3GZ2gm791bUyX33OAYDuK9KxXkpaSxMTOqWEzZbLNz03Xccquu/mmNPiLduWE/z6p/RpKYRftPNlD70l98vuSYhK0B68+cbCFIlE6ROwl8Zy7fltyHhZmbY/aToF9JkK6HRVkKjtYhGaxFG28CbYieOkwH5SHvjhVvq6WyykTwzFH2IuteNLxeURGjiqTR70rmXxT5Alr9Hu95graS4I4/ijhyOtPWrnDx+DoNAvODnUtb+fSc+YVo66s3Ez4th0fOzEPvpHjNciIerwzxeuF8GGb7pdDg7+MvhRwCYFDgNk6OdfFNxdzz80Bs7KfzvEcImRTHrlXNwi4OvN9IJPkmaCBL2C8ybMJPJkycjiiL5pgru2P9adxf5wWLh/Y3heOGdhTUU3L8CmVbFqLdvRhmk77bhp9AwPSSFaG0g7xVvAjzKFIUgY0t9EVvrCylqb/Bqf7gQr/3XStq3HMH/vKmEXn/2oGEUURBI9g2msM3z6+rTuVcyLSweg6mJDdXFrK8uYn9j1bC619trGqh59E0EmUjkM/d214npvfiAl4XMLWNcaAT76j0t67q69RxprGNdeTHrykt6tVvrHj0gbFzxBZ279qOfO4PAyy4adN3BAK5TKJgdF8+ChCSe3LyRdruNq8eMY3ZcPGuLvcfB7fX1VP/zZQS5nJgHHkQeEIDhwRFUjwx3xI3WS4+sHO/1vVjdNGJ0k48BPRmlqKXdUcvnhmUApPldDECDtZAmWwkuyUvD0n7GbwHy4XjjPW9+mSAnUpNIgi6TeF0GcbpRGG3VvF3sEeJMDb4Yk6MVQ2cubQ7v3kz3OfSAuCRJfHnFaoyFHkWFSq/goncWEpzqj5OhXdtQIN4FcBGRAKU/TXbPOf7rjJcIVAZgd9kp6Chiy8GdvHnby5Q1VrB4xSWoA7V9bf0GqfZFH+6iZMUeAibEMvvlq5gYnIZMkLGufj8iAv+b8QRGWxu7jPnsaco/pWJX/UHcbXNw9M7lWCubiH/4QgLneA9V9Zx/S8o85oWNIt3P00SixtzKipIdfF7ar8J2UIC37cqn9sUvUEQEEffyrX1UK0PZzIzS+jEvMpkFkSndfTM31hRz09YvkVwCGpliwAJXnrDIO9iKKwm87kJ8F0w59vqpqVGS/AJZFJfMothkxodGIQoCO2squPynL73OsRzNo+GNj5AHBxLx6APeFTynkFbfJSe8esw4bjpjIjF+frgliYN1tfxSWMgHBw4gud3UvvEmtvJygi69FN/p0xBc/L7QTsjykZ74Zkz3c2u/oBPwU0ShkQdQZ/EUPF8S9x4hak9dZrfkpMVWRqFpI/ub/3tshog0aAvrY+v+gSEuIqKT+9HubEFA4KFR7+Gr8HgeRlsNxR15HGrdQXFHvyIdAMp21rHyti29XvOL1XPmszMIHdXbkxlJdUoXxFWiikQhjqiGcObNnEesbwyvvvoqq9XrCD4jjhlBkzjSlnfKm5qDQbynjZbsWnbf9TUKHxUzProCdbBPLxtKUcGlMbOZFJhOpm88MlFGu8PM28Wr+Llm/4DrDAfg5e+sp+7bvQTOTiflkYt62Bg8Fh6q0jMzNJVZoWnsNBbzv/I96OVqnhl3CVvqi9lSX0jdEBogO02dlN7zb1ymTmL/cQPa9NgBQylDLXA1MywRq8vBljoDeoWKXRfcw6HmGtZXFbG+uoiy9t4bdG0/baX5819QZyQS9rD3zvSnWhslSK1lQUwSbiS+LspGJghsuvRmDhlrWVdWwoaCHPIfeQ5XaxthD9yCOu2Y3PE0pdULEqQHh7AoMYmFicm026xc9e3XtG3YxJ/Co8hraqJy2lQ4pikvvf8PBO3+Rn8w95GHEaJOJVidRog6lUZrAXuNHyAg49rkVZgcNdRbCmmwFtJgzafJVvqHAfnJbm4KiISr40j0Gd3tjW8zfs+mhq9RiVoWR1xPSUcOxR05tDuP65S/umUzFbs9KeCiXGTyDemMuy4LuWrwcx4KxIcC8Nwvc9n3+j78EvzRdKjJvHosYRdHkuKTzGOZ/wdApbmKw615HGnNI7e9CIfb+y+okwW45JYQRAFHp52tN3yBudbEuKfPIXx28oB2dHI1EwJSmRw4ijV1eznaZiDDN567U5cM6oUPBPC2wxXkPPgFigAdWe/chMJX4/W44aTXp/tG8NL4ZcToPF/GhaY6NtcV8mXZ3n4zM8tfXEn79hwCL5xO6LWL+7x/qmoUgECVlutTJzM/Mpl0f0+d6RKTkb/t+YU9DRXYaxqpeeRNEEWinr8LRajn/EdKjdJn7jGQ+ipV/G3yPBbEJhGi0eFwOtmyeTMvfb+S/NEJ3iefpobHggRKmYzO2jra/v0ODTW1qNVqGjo7WFdiYG1JMcuXXPLHh7a30b9XDnJBw/igqwhRpxOiTkMl88QH9xo/4EDTxyDoiddNpcGaT5uj/xocvdb7g3rjAiJyQY5DshOlSeb6xMfRHGvd1mitoqgjl293/5d/nrccgOgJISx8dAJBCb591x/CxuapeOE/XPMDTfmeuuY+kT4sfn0xmkh/RFEkRhtNll8mWX6ZpOqTUYgK/pH7EvntBfgpwlDLVFSaT61eit0lo+D9XSRfPZGjL2+i6pd8Ys4Zxdj/WzAsG10jyy+R6xPPZnQPL3xfcwGvF66ixe5lw+vY6PrfOTttHL71I2z1JtKfvoTAKR6PbqQkhQk+IcwKTWV2aBrjAmJZsuUNKjqbGO0bS7jGjx0NJbQ7rbRtz6Xyxa9RRQeT9MrNuOWqAe2PhCY8SuvH/MgUFkSl8OSBNRjajJyxuYwLp89hY3st+0Jk3d16eo7TmdSDSyCj3cksi8CFS5bwRN5udjfVMToojMUxKfxaXkRO08Bx8OGu6w3gkttN3etvYzOUknjNlVxwxeUsSkxmdlwCPkrl79uNPTFLJz3zrac04qnUHeka/YG8ao+WGbOm0CYZaLWXE6WdyHkxL3vmuNpotOZTa8knr/UX2p0D16Xutd4wQf5bQTxCE0+iLotEn9HE6zJYdtcFrPnvFh5862YWLjqXko4cSjpzsbj6r/w30hrxuqJ2Vl2+qtdr/on+zHthHn5xnoJLXaEUpagkTZ9CnqkAp+RkWcylnBt5Fi32Vo605nG4LZcjrXm0O72DsT/4uuwufjpvOUFZYdTvqkQb5cfsDy5DrvWecTic5J4JAalMDhpFll8CN+55Cafk4vzI6QQo/dhtzCPfVNmt9ugsNaJLCKbg5TXUrc4m9OwxJN93Vr9rjATEfeSq7o48j2VdyJLYiTjcLg42lPLVGx+wauU3uG6ciTYtus/8U1GkDDWpp/WHbSzVx/PMc88S5B+A3eViV0MZ66uK+az4wLD14J73hwdwt8VKzaOv4mpuI/SBm1GP8vz6ui5jPI9NmY9MFKnuMLGuvJhfy4rZWVsxonrwLoCbNm+leeUqVEmJhN91a3eISCXKmBETy4cX/o6edk9o9zdOFeZWt4LdP9Sz9Yta7nhnNBofOQIyAlTxhKkzCFGnE6oZRYAynm/Kb6HJVkSsbioJ+oXUW3Kps+TSZDPgZpCCAvwxId5ea2Xru7nMvTuThSmXsCj8CpSiGrfkptZioLAjl1/qvhixmuL9QXznv/Zz5JO87uepF6cy+b7JyNX92+2CeIDCnyx/jxee6ZuBXuFDu6ODOw7ch80tI0QVRLO9pd8Nwi741m4rY+fDq7tfH/vALOLOSkOuVYyorLBrPHhMTigTRFrtHexpKmB9yR5ev+wREm+eTe6T36MO92XCu9d2f3GcTklh13xBggwhkHmp45kmRpCZlEpxTQWXHnwPl0skwSeYys5mr4qP05HUY69upPKhf4MoEvfPu5mSkcXCyFQWRKUAdHfrOTMyncqOVnJavDtWpxpGaVr+DR2b9+AzZzJB1y05PtclEKjWeBJ64lKYHRWP3eVi/Gdv4pTcpPuFUNXR5rUOyXAB7mg0UvvsKyBB5P89gCIkuM8xZXf/jpK/oUDb2xgu7BoqrDy08CCJY3144INRfeoZgyek4pJsSLhJ9zuXicE3opMf69LtttFoLeD7yv/DIVkRkePGexr3ieN0gnwoEHfaXciVsm4YyAQ50ZpkEn2ySPIZg4/cj9cK7wZgXuifcKOguCObcnNRd9VDr2sPA+Jup5vPzv0Gc5MVpY+C2Y9OJWlhXI/rGLq0UEAgXhdHsCqIvc2ezcAXxjyNv8KPXFM+B1vyONSag9HeV1mz+8kNlK/pkfIsCmTePJnUq8/wWqRqwHMZoheul2uZGJjGlKBRTApMZ1fufs4+Yy6CKHDLLbfQNFVPQ9TIqlF62+h7jNlQT82KTQTOG03Zi6tInT6eKc/dzJH2auSCyIZFnv2F7Q1FbK4rZGtDMSZH3yqApwJwyeXGWtGEMjqE6sfex1pYSciN5+F35pTj890Cfko1bXYroiCw+8J7CVRpqTWbWHdsI3NXfXmvRg/d9ocJcEtOEQ0vfoAs0I/IZ+7r3Xqt13kLqGVykv2DyG7yfHmsv+RGYvR+7Kgp59cyj5yw0eLlV+wgAJfcbupffxdbUQkBl5yP7/zjdZl6hlF+V2gnZ2mlF79Lwyr13xduOKM/4EmSxD3T92NqchCXoePBj0bhE9AbeN5CKz7yMEI1GYSpM/BTRvNL9V8BWBDxGGGaDGotedRZcqg1Z/8hvPGheuI9YdBTZXN1/F9J1Y9HFGTY3TbKO3PZ17KD/S1b+jN1fO0BIF6+vYYf7t5E6OhgFvxjJr5Rffvw9b6OoatSACYGjCfLL5Mx/qMJVnm+aH+u/ZUVZd8AoBAVWC0WVp37MU6zxxtS+qmZ+uQCgifF9jV+whiOImUgGyIChqfXYth4lIiICGpqPDH6OpORPe1F7DLmcaC5GKv79OjCuwBe+/lWaj/diqhS4HY4SXvlOnSpEd1t12aFpjEnLI1ZoWkEqXxwul28lLuazw17B7Q/HIhb8spp/HQdPpPTMX78K5rMBCL/fp1XtQh4AB6o0jIvIpmFUanMDE9AK1fyXv5Onj+8AeFYCMjksPaZ2x/AJaeLjh2H0E4Y4wmLGFsJ/csNaLJSeyw84CUhuQQmhUVzZlwKi+KSiT/WquyNQzt4ee/2/if2gLDbYkHUaGjfvIPmL75FlRhH2H239/u3KL/jwSFBe3j9toY51IL3D+lwYa7wkgvqkGQIgkDSOB8Orm+hPLeT56/O4cHlGfgFH7evFvv+tOlw1tPRXo+hfWOv1ys7dyMgEqkZTarvfADqLTl8V3E7DklGmDqdVns1NnffTiZqofc6g0H8xGsaCOKqE66hP4grxJ42Xd0w+KTsOdSilgSfTBJ9xpDkk0WsJo7sVgciIpfE3EVJZyFF7dkY7XW915Yd98pPBHj+T6WMvzaDKbeNQaYQ6boT+gulqMTeHr43iMt7XMOhtr3sa/H0PYxQhzPGfzSV5iqUopNwdRj/yHqcg2WHiLpJxy+//EKj2ML0fyxCF6HnxLvSG4CVsuNreQO4XBiaDbvJSukWjzSztraWiIgIrn76Ds674HwWhp3BBVHTeD73c9bW70Mn+qCTq6m1Hv/F0PP/5g3gMvH4eXgDuOLY+207PYlcbpsDmV6D8ecD4B6HLj0KCTdbGnPYWJ+HgMBo/yhmh6aR3VqFTOZmQmA8f8+6kE11BWyqK+BQS2V3WEouO76+N4CLwnHHr2NvAdb8CqwFlQhqJeF3XIhMAV3/jxPDKKIo0ero5NuKw6wsO4JKJmdaaDyVHR7J4KSwaD6ZeyV7GstZW1nE2qpCaswepYwgHl+3J8CtReU0f/YT1uxiXMZWfOZM7A1s8OR2dw0vABdkEvuMlewzVvLMno2kBgRzZlwKhxprkUSJOL0/Hyxawq9lxfxaXsSRxjrPzobMc06Sy0XjOx8TeOWltHz7M8jlBF29FEEuDrjuUMZp9bSHM07WK//+nRq+/GdV9/PwBDUPr8ggIHzgnfJea3v1xkMJ02QiAYb2jQiIXJf8I0qZjmZbKbWWHGrMR6k2H6LD2X9Nju41/qCeeIAilJuSnsZfGQJAi72RwvajbDf+Qo21vD9TuF1uyg+2EnlG6ODrjpC0sKcXHqwM4szwhSQ7EkiO9WwsNVgaeKXofUo7Kwa2M8K68Opf8jj63FoAZBoFWY8sInx2MnaXDLkgI8s/keL2atqdZi6KmsldqUso76xjhzGPXcY8svupFz6chg+2hjYOXfN2r/ciL59O2JVz+hQs8zZ/XEAsf06Zy6SgBBSinDa7ma0NhbyQvYZWu/fent4AbrjrDezVHiWRoFaiTowg+KpFaNJi+hw7FDlhjM6fpYnjWBSVSoqf5zOa21LPnzd/1Q3vE0fTpz9jWu3xhgWNishn7kIeEtAdKhsJOeHooDAemTyXKeExyEWR2s521pYV8+ahnTSYO7EWlFD/8jvIfPW4TO34Lzkbv0XzB1xzqJ627IknnhjsmGGP19/+xxOLlvUNtA805ILL62OwrD63S2LLN8bu54HhCpqqbIybpUchAzeD36Bywd3nYXZZabGX0WIvAzxdbeos2bTZq1CKOmJ1k0j1W4BbslBn2Y9KVJHpfzESLszOFk6sreJtjYGuTSZIvR4DXceJdvtrfdXTnii4cUsiVncnO4w/crhlCw3WKuSiglH68RR17KHdUUu8NpEZweeBIGJytHSHigRRICBSg1x0dz9c/cCw93V4B0jfa/Du0XU9rO5O9tcd4e65d7BfPIwl0oZGrmGHcTtubJwZPodlsRfhK9fT6bL0UqT0tCP2c04yUep+DHYuRR/tprOiFU2kL5NeWULQuOhuG4LgotFmxHKs3GezvZ16awuBSj3zwsZxbtQULoqaxvc1W3G4JUSE7k9On8/AAOdhXJ9D616D5zWVnKSHzif8wonIRHrM73udXfMbbK38WHWEz0p3ktdWiyDA2IBYPivbBoKbJXFnMNY/FqOto1utIopSr4elqommLzd32xaA4KVz0E9KRfLyNxZEqfshnXBuguB5tDut7Gos45OiA3xfnk21uY0gtY4vSw8iCRI3j5rCebEZONxuas0mXJKbphU/epocAzhddGzZhyohGkVY0DHbUvcDb/F5ocfjBJ9WED2PRmsHKwtzWJF7gMJWIz4KJYviU3g3ey9Wt5NJbXYyQsIpKyrC4XSijIsCtxNFeLDHyz9xXQHaflpb+8QTT7zb94ROOPR0eNopWVrplVV9kxpGQv4Hvb1yq9nFzeP3o9LIsHS4OO/mCC5/qO+3+qmeR19vXCBAGY/DbabDWU+4ZgwXxno6rjjcZuotuVSbs8lvWzNkueFwvPHT6YkLx74gJNxMClzEeZE3IRcVON0Oys35FLRns824GrvbNpC5EdOH9+eFG/OMIEFwRnAvLxxgTsgszgpfSLTWU0K30WZkX/MRlpf17eLScwzXC3ea7fx6wQcEjolk/BNnovRVD9mGRqZiYmAasdpQPitfB8BzY25GI1Oxw5jHDmPukHtn5jz8JW0Hy1EG60l/8mI0SZEDrj+cpB6ANyddzcxQT4ghv62WjXUFrK/No8B0PJxm/HYHdcs91yHz0xH18GVo073vLYyEnBDg8fGLWZowDrVcQZvdwrribD588Al+/tnTFV4e7E/YA1ejjPU0RzhdenDJJaAQRRzHmga/FTOW8xaficVi4ddff+X7rZvZEx9Cu8rLZ/mY915+29A87d8U2v2NU4X5MzeWcMUj8TyxNBeb2c1La8YQGjP08MjJrn8iyHXyEMI1WYRrsojQjCFQlch3FbfTYM0jQjOOaN00asxHqLVkY3P3n6TRbf80QPxk5IUKQUmcLoNk/ViSfcbirwzh2ZxrceNmnP9cJEFJYfsRWh1N/a87gvrw4YRSgpSBjPEbzRj/0cgEGa8Uer5Yl8VcitHezsGWbGqt/X+pDgbgsvWltObWk/7naYhy78cOR1J4RdxCZoeMIUXv8dZrLEa+qtjKt1X9b35ZTA72/ulNfNLCSXv8YpQBfeuWn4qksGtunC6YuWFpzAlLZ1xALGtqsvnroa9wuUQmBsXx3R3P0Xq4GHVCGLF/W4Yy5JhO/zTXCNfIFMwMT2BhVCrzgxNY8+NPXHHFFajSYrnx9efZ3V5Ps61viOd0AdxebaTh8VeZNWsWF198MUsuW0p0WDg7aytY9vMXCG4BP5WaNlvvzdXyPz/0/w+0vY3hgLSjzYmPn5wfPmxg+bM1zDjXn/v/FX9K6pVT9cYlSUIl0+NwW5BwkRXwJ6aE3IJMUCBJbpptBqotR9nR8C5OaWCPtdv+7wjxnp6dStRgc3t+ft6Q+CRJPlmAJ1Mzv/0ouab9FHUcHXjd0+yF9xwneuEiIk+P/juxOs8vsnprAwdbcthq3E1xR1n/drycj8XYiaZHc4dTVaR0zQ9W+TE1KINpQRnsbynim6otaGUq7k9byk5jPrub8mhzeEBUvz6PlgPlpN6zEFEp/0004QFKLRqZkhpLK3G6YFbNvQeTycT6vdvZqTOxvcXgVfFxugFe/9SHqOvbsGXGMun+69lw4V243G72G6tYW1XImsoCqjr71mwZSYCbftlCy5ceT99/yWL0Z89nbEgESpmMffXV+CpV7L/iTrKb6llTWsQvZYWUm1p/X2hPmDhe2rT9M9odVXQ6yulwlFHbuRaX1FcTOtwxEIwcdjf3np1PXbmdZ/+XQtr4vh7HyYJ8OBDfsaqRyCQN4RkBvV6XCUpC1RlEaMcQoRmLXhHOF6VXAjAx6AZUsgCqzUeosRym09m/19o1/igQD1XFdHvhCT6jyWvbzf8qXwNgYtD5lHUWUGMp67f+9u/lhQcrgxjrn8VY/ywyfNNZWbWK1XW/opVpmRw4jQMtR73qwmHkNzOHYiPFJ4pnxtxEsMoPl+Qmt62MHcY8vt37K5YQuddmtr8FwJWinMxqkfkJYzl7xjyC1Xocbhd37vmYHQ1lA84fCOLDBbjL1EnpLS8SdPki/M+fgSSJZPiHsSgqjUXRqYw6Vhfllq1fsbayCLkgek00glNI6HFD3fPvYC+tIujmpegmZvWe6/Jo1K8eNY4z41IZE+IJ2+Q1N5ARFPb7QXvMGQnS+u0foVXEo5FHIQoKNpZPxuluJ873ekJ08zHZy2i3G+hwlNBuN2B1DT3N/MTRE0i71rTy0h1lzLskkDtfGFyrCyML8sJ9Jl68Npd5V4Qx+9JQYtKOf3F4i4t37XTMDvsLSfr5KI/VF2mzV1FgWs8e44ohn8+JEHe7JQx7mkmeGjToefc3hgtxmSBHI/Ohw9mKnyKYh0Z59lU6HG2UdBwmr/0oeaaDdLr6yia71zwNXrjklmjKbyI4o/cGubM7BKRAJohY3TYmBJzBval3AFBlruZASw4HWo5Q0G7A3c/v4qF60O1lzWjD9V4bHA/VRopPNNOCM5kenEmKPpobdr9AubmeeG0UermWo22lA6pRJJcbc1kjuqSwXu+fCsDtxnZkgX4ICGT5RzM3LJ2PSrbS7rRyVcJ0zo0ay4bafDbU5VNo8tzr1opGlOEB3d2EThXgHXtyEUQR3cT0vu+7BWJ0/iyKSuXr0iOYHFZuSJ3M1ckT+X/svXd0VNfZh/uc6VW9I4RAIEAIEEL0XoxxxSUuccGOa+w4brHjxHGPHZfEduLEPS5xiXsvVNN7ERIqCIFAXRp1aXo75/4x6pqRRkLg3O/edy3WQjOz99lnynPe89tvWXPkED+1VpLdcOpt1rxWGzWPvET0b69FnTxiQB18hCGEFaPGsTI+mTnJY38+aKdO1kovf5vsOwAKtIoR2Dy+8LERxsuJN1yAXpmCSu7zRD2ilc1lvrVG6S9FJQ+hzXUcs+s4Tm+D32MEMkmS2LO+jWnLwpHLByj4EsCGCvGqMjd/viwPc7MvHjl1upEHP+o/M7Q7yAXkRKrHkqCbSrwug1ZXOXvqXwMELkp6hQbnSapsh6j9rBZlAAAgAElEQVSyDeyJOyQlPzxfzJa3SrnkkYnMuTLw5uzp9MLldh0176tYvuQszr1gJUZVOB+XPU9e607U8hhiNAmctB495SzNgSCe/8lRdv51P7N+N4uJV0wM+LrujR8ywqaQETaF8cZxKGQK7s/9E7UOE6HKWBxeB2aP/xovgeDrtrr4afWnyJQy5r8ZuDZKf3N0WKeMogqlweW73b9/wpWsjJ9Jm9vGvsYj7KgvZH/jUazenjJF5RcHKXltC2PuXEHceRkBjzEcOjjAivh0rkqezZTwkcgEGVW2ZtaVHubWBRcg12tIef4mZOqe362hyCgdTXWD3chcHD+WK42jWZg2FbVaTb3dwtqKozx6YF3AsQMB3FVlQqbTogjvW7gtEMC9ZivVf3oB0Wz9+ZNrACQ8ncAGqDJ/SpXZt4OvlIVjUI1FKeuq+zzScDZRugWdf7u8zTTYtnGw/mEA9MpRODwmvFJfvQxAEATmnB2Kv3coWDj5SwoaCOTWNg9/v+VIJ7ABVDoZrQ2uHsk+fY7VI3HGTYPzKA3Ooxxu7opyUMn02D1NjDUuZFLYeQC0uMrZXf82JWb/WY05X5ez5a1SQqJUZCwO63ftwSb6DDbJR5IkPn94E4Ubajho2kzeuM+J0yTT1J7AkxU+i3MTfoXTa+ekNZ/CtsMcNefS6Op519Vfgk/XOXR93r0B3lLWxt6XslGo5STPjUUt8wSUUTqSexpc1aytNbG2dgMauYYJxlRq2zcsr0q6kNmRMzhuOcHB5nyym/Mot1V1zREgKSf/5d3Yas0kXzARnVEO7eGTAyX29JcY1OZtQiX3zfHPY1+yu6GAOVGTmB2ZxvK46VTY6rh+7zO+fpVyDQ3lNZx8ewcylYKo6SM7P6tTSerxje/5fPexP5kOs74mnwiVnsWxE1gcO5EkqwJPk5nQueO5adISTpjr2V1fglP0fdaDSejpAHhHF3RZt7H+AC5rT8rZmL2Ld35/DcbwMK5970XOmZhJvN6I0J4gc9vEuZxobWJr9YnOBg+BEnp8z4moR0a3P9fnsAETepr++x2iOXCRt952Wjzt8VM00hvf9pQmXIO4JVfKIjCoxmJQjcOgTMUtNnO82aeRLhi5GbU8Bpu7jBbXUdpcR2mw76fFeXhIaz2VyJUOkHvcIn+9qZj8XV3B/vpQOVMWhDL3gkgyl3Zp24M9Xk9PXEakOoUE3TQSdNPIa/6cKttBYrXpLIy9j5PN2Zg8uezYuY3nrt2GTCZw53vTSJ7S96p/JvTw7C/K+O6xXKJTjNz80QKU2p5NdVUyDWMMkxlnyGCccRqR6ji8kpenClbT5vUQoYrG7G7FLfnPrIWBvXDRI/L5TRupy2tg3n1ZpF/Z99bZt/bgtfBRupFkhk8jI2wKYwzJABS0HuGJwn8Avpj+3vq9aX8lW+/6AW2sgeXvX4FS7/9CPlwFrmQITAwdRYhCz+7Ggs5uPRUnyvjy4885pK6mdaYfb5DTr4O3ZJdy4qH/oowJZfKrv2HDeQ8SodZj97jY1XCcjdVH2GYqPq0bmZIoUvXoWziOlhN90wWErpjZI5RQJZOz7fw7iNYasHvcbKstYW35UTZVHcfs7hs4MNSNTFvOEepf/A+KmEg8dY0/nzziD9r92WCAHq1bhlE1ofOfVplIeev7HG36CwIKpsb+kxbncVpdRbQ6j2DzVAx6/YMBqyRJvPFIJes/amTkeC0Zi8OYtjiMsRkG5IqB5ZlTgXiHxWomMTVkNXHayWg1ekRRJCcnh/9mP0Dy/IHrpkDwEA92vZXHHbx55TZEr8TNHy0kNnVgQESo4kjQjiG/dRcAN455gpG6VEqtBRS2HabInEO9M3DtbX8AP/B2AXteziVxRiyrXlmKRxh4/YMBeKgylIywyXglkR0Nu5Ah48Vpz3DSUsaBdi+8vqWBddd+hq3WwsIXziVutk+qOhObmd279SxpGcPcyEnMnTsXmUyGydHMK8e+Y2tdYIdnuAHutbs4cvubuEytjH3yl+gzUlAIMqZHJLM0Lo0lcROJ0YTwwpG1vHdiJyrUGJUa6hz+90CGqoM3/7CH+rfXoElLZsQjv+pTD0QUBeSCwMzoJFYkjmfFiAnE6Yw8nbORfx/dixoleoWKxlMIJRRtDqoffAFvcxuxf7wF09Nv/G/II8GYKkCfeX8wr7f9RL3tp86/FTIjMnxei0oejkYeS0rYPGSCD0JubxtFjU9SalmLXNCglkcPCPLB1AUpK3KQPFHLa9vSiE7o7j25g9LGB3Ms6FtLxSEqMTkK+O1zV7Dh3zUsP28+09Pnc/EvlzN+oYQoeZkRdSPx2gwqbIeotB6i1l7Yp5phsLVTglmv2+nlq98fwG33csGf0kiaoMUZQM/rXnfD7Kkiv7UrWWNz3WeMN04n1TiNVSOuYxXXkdO8jQ/KXwZ8m57dtfDuMgpA1REz+17PQ6VXsuzR2QgyAWUv2cyfFj6YGilWbxNb63d0Pq6RqznYlMO08KlMj5gGQN7xPMzpFZTMqOwENgRf26TDTkVGsdU08+D1LyJ5Rc567zaWTp3LvKh0zB4zcpnIeONILh25iO11BexrLMLm9XmTPevZ9IV4dxkE+kK8t4RS/Z8tuEytRK6YSkjmaEBEQuRA83H2Np7gmYIfmBQ2ghq7rzvTsoTxPD3tMg43V/BTTRE/1RyhzNq1n9OfjOJPQgFwm5pp+HAjgkpJ3O0XIldC74KCMpmEhMTehlJ215XxRPZ6pkYmdIYLrkgax/OzVnGgoYK15UdZV3GUWrvvwtKfhOJ73rfm5k9/wNvchmHpbDQTxvR5XSD7n/C0B2sDeeYCSgyqcYSo0jCqJ1Fj+YZWZw6R2nlkxv0bt7eVNlchTc5CWp2F1Nv34PFTBKo/G1Ic9xA2OIM5jtsl8rtF2bQ1+sAbl6Ljrrcmd9ZfSQtbxfiQc4jSpCIT5LhFO6WWnayr/kuQ6x7YC5ckCUEQcEtyvn+6kF0flDFxSQzX/DPTbyhaMJua3QERpowm1ZiJ2dPMkbZ9aOUG7p/wOuW2IgrbDnOk7RANrprO13tcXj68eiMNx1pZ+cRMxp43cN7AcIcUjtQmkmJNJo3xPPrsY4TfGcvEmPHMjZrPwebDFLQe7exg32eOQdb47m+8JEkcuO9rGg9UkHrrPMZcNb3PHAujp3Bn6qWEq4y4RA85zcfYXl/AupoDuET/axysF24uqKTwvg9QhhuY8sZNSLq+TZ97j03QhnFOwhSWxqUxKcyX3XrcbGL19rcxe/zva0FgD1ySJCoefx/b4RNEXbeCiAvn9XlNMDVRkvRhXJw8hZUjx5Ma6qu/k9NYxXWbPvYrn0BPgNsLSzA9/RbyyFBGPH0XMq2G0msf/PnkkYlT1NK73/VNox1Ka6/B2EAwV8ujidIuwqieRIh6EkbVeGSCit1VF2NxFRGumYlBPZMWZz4tzjzcYuBmtL1tyFmVgwS5v+Ps/KqeNx843uOxMVMM/OalVPRxXeVSVTIDCboMRuimI0oedtf7PNYLR76E1dNAufUQFdaDA6bd+/scD683MXJSCLXHLbx92yFCYtT89sv56MMHPr+hRKUYFGEsiL6IVGMmMRpf9mCDs5rPKt6kxFrI9pcOs+/tIlIWJ7DqxXk9LhxnKrHHbXXz9S+/wVprYenfzyZhdiILouayOvkqNHINDq+DvNYC9jfls7NhP57TBPDy7ws5/NwmQifEMuvly/xmbnbo4GmhycyLSmde1GTCVAYu3fEwbslLWkgKzU4zlXb/0VwDAdxt95J3+zs4qppIffRSwueM6zV+4HjwOE0oS+ImkhaawMO5vvK8d09YgYCcjTWF5DZV+s0F6A7wlo3Z1L7yLZpxIxj1lxsR5LJTTqkfbYzg7MQJpIXFcufurwC4a9JCXF4va8qLOGnuGesvOl1U/eGfeOqaiLn/enRTfOUBgoX2GZVHet+C97ahQr3B5EFvlKH1c+HuDnKnt54qy+dg+RzweeRGVSpWlw94YZrppITdhiD4Piibu4wmx2Fy6x9DpP+1ByofO5D1jlQZCOK9j+MSZax/r8vDVKoFLrk7iRXXxbdr6l3rdogWSi07KLV03c7LkNPmriFRn8XYkGUAtLgqONDwIUVt6wOsua+UcuDrKrK/rab0UAuCAL98djJhEV0REjB8USkAFk8La2reZU3Nu4QrY0gNyWS8cTp2Tx31ubUkmSfxyI9/pXVMOSXefFq7pdj3llH8QVwpnLqMsv+l/VhrLYxbNY6kufF4RNjesIs9jfuYGDKBaeFTyQyfSlrIBPY17UImeRlrSKPF1Up1t9T6YCWQDusOcXudhcKXdyAoZEz9w1JUSvD48dM65ii2HCe/9SSvl3xHlCoUd3vno3vHX8JoQzxl1lq21eWzo76Ao+YumXGg8rLV/92Bo6qJqMUT+gDbNz5wJAr4ZJh6VzOflu/q4cHHakJZHp/GdSlzqXeY+anmCN9XHia3uWttHRKKu9FM3bvrQCEj/jerEOS+eQLJKBBcJEqZtZE3ju7ssZE5NTKBRfEp3Dd1McWtdawpP8r3ZYWUtDXS/NlGPHVNGBZMQ58xDpAG1MG72/+Ept1hgaA+EMwbTB4+fsPMHQ9H93nOn17eAXIJN22ugs7HT7a8SkXr+xjVkwhVTyFUPQWjKhmV4NtsmBT1F3TKUTQ68mh2HqbJkYPTG7gs62D1ahg8xE8eaqWswBcuND7LyK/+kkJcsv/O3/70cBEvW2qfBiBclcwI3XQS9VmAA6XgJUQ5gqXxf6LMeoBy6wHq7EV9mkJ4W2wc3dGI2E6DuVeNJGVmz2xQ6Pl+BFs/PCiAe2vYXvE9nxd9QOyEML576CAXLLmUrLmZxIaeD0CtvZSCthzW1X7aZ/2nGlLYte6ueU7uqaP4q2L0sXpm3DUD6NLBJbwUmnM53JrPf0o/JFIV0dkW7pYxVxGvjaPGXsv+psMcaM6l2Hyi04McjA4uSRL7/rYZj9VF6o2zCBkT2WeOgcIJaa9E+cfDbzI3Kp350elcNWoJ145ezo/Ve3juiM8BkiF09srsDXBLcQ1Vn+1DEapl9O3LTymUEHrq6H/M+Yyn8tXMj0llWVwaq0Zm4JRc5LeVgahgbnQKexpO4PJ6qH79R0Sbk5hfLkI/OgqPn620UwV4h92w7WNitUbOThzPysQJ/DZ9Pnqlkkc/fxfrhr1kzJ1F0zXLO1/fXQcfyP6noB3IBoS5BF+808KS8w1MmuYfWN2tP5B7JAvNjr00O/b2eY3VfQKdchTJIVeSIrsOgAbbNnbX3gGAXpmMzV2JFKBl2emA+Lr3TKh1Mq68fyTLr4pBJhMIxruFvhDvKEWb3/JF52MdHe+zIq9hZtR1OL0Wqm2H2F73Om3tHe9zNtR3Ahtg138rMNfauf75NES1//ZOwx0bXr6nhm1vHGPE5DCaK6xkN27mpbI7iFYnMt44nfEhmaSHZrLJ9B4AsyJX0uaxc9Sc26MR8ql44V63F7lSjsvqZtdTvgJPix6ahcrg/8LbAfFWTz0dcHym6HkywzOYFjaVc+OXcuGIFWyp286rJR/6ji1T4ha73pP+AFyxrpi6PWWEjosibfVUv9/KYAHe6mnkm6odfFO1A6NCx+zINEzOZuQykThNBK9m3cPO+kK21+dxoKm4UweXe12UPL8GRIkxty9HGdbzdng4AG4X7WyozWVtdR5qmQKNr+sCM6JH8srsazC7HfyUv4/3EvLZPN5B1KXzfec+hFjwzueCAHi9s40PSvbz3rEDRKr1CF4v9a9/xcIFC9i0aROl5ibWlBexpryI/ObaPnMEstOiaadNUUkffB/X5/HhKs3a2/IPObnp4hqSxyp574cERNXwtDkLpJELKDGqJxKmzsAjWqm2fAHIWDJqHwIyWp15NDpyaXIcosmZG/Qm52Dfn4ZqFy8/VMUNjycTnRhcVcPBHKN7eKFKZmCELpOR+pkk6DL5quzXOMU2UkNWUrMrlk/f/5ZNmzZhNptZcl0iq36X0t7Nptecwxha2B3gX/7hIHk/+BJcjDEabv9qCZqQ9gii9tt1GfJOL/ue8f8iSp2AV/JSZj1CQdsh8lv390ns6XG8AbTwva8fJmXlGHI/OMKRL48x4aKxLHpotp919z9Px0amVq5lSmg6Ta4mjllKiNPE8mT6I+S3FbKv8TAHm/P6dK7v2BC2NDjYcPXHeGxulvz7UsJSe6bvD2fD4xHaKK5NXsHsyDSMSh12j5P9TUW8dvxHdr3xPWX/2UXk3BQmPb6qx95Cfzr4cNREUQhyZkWNYWnEeBaFpxAVGYXd7eTa3W9ytCXwHfLp6lLf+OlPNH++hRHL57D6L3/inJETmROTjEImo9zSzChjxM+3ERkI2gPZUKGen+3gpkt8V6ob7gzllnv73poP1yZoYJAriNYtI0yTSZhmGkbVRGSCghPNr1LS8hJuQojTL6HJcQi7p8bvHL1toPfD3OLBECrv8UMYzMbmUAHe3SZpriUj8koMBgNut5uTdTnUK7M51PTJwHMOE8A9LpG/LPwJh9nn3ckUApHJBi59JpPY8aE95+pWMzxRN5bxxulMCJlBvDaZ7fXfsLbmP7glDWMMEzhh6SsFdZg/gP/38h8AaCppxRCr47JPzg/oZXfOEyTAAaLVUayMO4vM8Ayi1JGIkkix+Rivl/y3UwMvfDebCddmsPuhDVRtLWXi9ZlMvHlWoOmB4QO4XJCRETaW+VGTmR2VxjVf/ImN17/O+RdewKwHLmGf43hnZcLedirx4AMB/MSz32DeUcSFD93GRauv5B9F6/FKIr9JXcZYYyzrqwvZUnu0s7lDdxsugDvLaqn4w6vINGqSXvwtijAjoigQptKyfEQqC+PGcP6oSf97G5EDmb/NvA7r74crdrvu/OeVVpas1DMureePZah6eW/rLa106eMe6mzrqLP56hbIBC2h6sk4PL6LSawmjcyYZ3zH9NTQ4DhEkz2bGutGXKL/SnIDbW4aw/p+fIPRxAcj1/jTwwH+8erTfPPC7ay6chl3P3YFqQlzMYizyG/+LwBTIlZjdtdSbj2Aw9uzJOZQYsP9rfHEvsZOYAPoQpWc/8iUPsCG7nqrlwpbMRW2YjaaPiJUGdWpG6caxnJTyiPYvVaOmQ+R13qIIvOhfmWUulI7TSVd55eQGUN9ronErFgUGkVQOvhAPTOb3SbeL/uI98s+YpQuienh05gWPhWbtxmVzMPM0CzSRyWy/a1dVG0tJWR0OGnXZyI/hY3MznUENYeXvLYjfPzkG6TcsoCDf/4SySNyy0N3cf60JXglkcMtJWyry2d7fR4Nzq7orFPpk+lPQvG02VCE6Gjde4yWrQWoEyI4maHlhSNrO19r97pJC01gSdxE3KKH3fUlfFuRy7rqrn2u4ZBQJK+Xule/Aq9I1HXnoAjzSY4ymUSbx8aXZTl8fjK3z9yB7H8K2v1Zf0DvfrPg9cBTDzTw76/iUQSRkegP5oMBeSB9XJTsNDv2dT7W5NjH7qqLCVdnEqaZTpRmOomGc7G7cmlzmQhVZ6BXZ9JoP0CbqxgpgIcX7GZeh3WH+GAjU4KB+MEfTMxZFc7C35nJd79Dftk7yNq/VjLkTAm7EL0yGkkSqXcUU2rdR4l5K43Ok37W2i3SZRDJPQUbuySNxPRQrn4pk9BYDR2RM8FsZtq8pk5YVNqO8UHp00wImcF443SmhM3HK3l59djvKbVX9pBZOqxie3mPv4+tKyM2LYJR8xLa1z24aJSBaqNUOU5SVlXOl1XfdJ27M57f/OEWZDIZJx4+wc6yfRzmKGVSdefd2OlO6HGbHVR+nYOl2IT5qImIrFG80Pwt3+3PZn70ZBZGT+Gu8RezLC6Du7L/iVeUEarU0+ruuiAOB8CPP/s1I+84h/J/+SA96u5z24tSdY19u2Qb75RsZ3JYIsvi0zgrLp0l8ePZaPLVgl8eO5nd9Sdoc/tKSg8W4JaDxegzx9H83W6cJ6rRZYwldOkUv3VJZD/3RqQM0LT/uBynScfubvJe70JRnotP32rhqlv7yiTB2GA7q/c2/964iMVVhMVVRIXZ54VqFYk42qWSSO08UsJ9G5oe0UKLI5t6ezYlre8N28bmqYQX+pu72eRi2TVxzL8kBt+Pwfc5ONo/DhEvH5y4jGjNeEbqZzFSP5OsyKvxihbaXMdRyQwk6udTbt2P3dvSa63BfQZy0cORTT5oZ64awapHJ6FU91zr4EMKbRxp28+Rtv0ICCTqxpFqnIbJUYZaEDkn/mpSjdMoaMumoPUgZbZiSrZ2pderDUrOf24OyXPjcHr9Ow4DRaMMBuDgk1EefPpP3LrpZi688EIuvvhiLl9+MWkVBbzY8DJuSclYQzKl1soe8eCDCScMBuAN+8qRvBLNeb73I3rmSBwltZSlejl+sop3T64lSReDXuELGAhRqvhs/sOctNSwtS6PrXW5VNm7wjOHAnBXo5m2Q6UcvfsdPGYHMednYkjvm+zXMbagrYzDLRW8eGQdeoVvb2i0IZq/ZV2OW/Syr+EEa6sK2FRbNCiAN36wAVdpDY2fb0PQqIi99QIEQUAYYBNzIDstmnb6FJX06Q99w+/6s1OB+8E9Du68voHIKBlVFV7e/SoGBEjPUPXJxhu+PpVD18gD6eJqeQzhmizCNFmEa2aglIWwrWIRAEkh1yGiocFxgFZnYUCQd7dB1zU5A3q4WmZEQsIlWhhtWMiKEX9u98KPUmrdR5llLybHUfp0VO2xzq75Th5s5rXrD3DB71OZd01Sz42uQW5mBrLesJgStoDp4UsZbZiEXFBgdjXz5svv8Lt7f0fYSAMXvTSfyNF9a62czqQeSZL48pIvMVf5Nr2VOiVnPXsuE+enYXLWoZfreXn6C7hEF4eaD7OnMZeclgKcAfp8DjWh59Cf11O1objzb7lWydSHzyZmXs807Y7xeoWG8+LnsDBmChNDRgFw3FzFP45+RV5racDj96eBm9bkUvJiV3nVyMVpGCePJObcDF/WbpD9MdNCEzgrPp2z4ieRqIvALXr5zb732N1PY4cOgLvrWij59d87H4+5cSUR583uVwMvvvTRn28jcijQHsj6g3pRvgunQyLngJOXnm7lnofCuOZmY9Bz/9wgDwRxmaBFbO/2My32daJ0CwFf/fEWRzaV1g1UmL8O+jj/CxDvuaEpEKUex0j9LJIMs4nRTEQmyPnk5LXUO6swKmJxidZ++2n++HoFSVPDGDsrIuBrgl3fYDMzNTId44zTSLCkk7+1hL++/xgXPzeTKybeQantJIVtB0+p2cNgAN5ysoWvr/B9FwzxBpa9sIzwlPDOjUy5ICc9JI3pEdOYHj6NEKURl+ji1eP/Zldj/xUygwW46BHZcNFbuNt8FwJNtIEZz5yHfmxsf8M7x8eow5gfPYVFMVP5W9EnVNjqyAgbS3poClvrDlMaZJPjoke/pGl3V4awJimS8Y9fhia+b4niYAE+MSSBs+In8VbJNqweJ1clz2Zu9DifB15T1CelvvHH/dS8vqbrAQFCl2QQd9uFnUk9vQH+fw7a/VkH0EuK3Vx+Vi0z5qp57aOYU573VGE+3N64UhZOuGYG4dqZRGhm0eI4wJHGxwGBydF/pcFRQINjL2bXcfrzVDtsUN7yGfHCQ0jQZXDS4qsRvjT+T6QYl2Gy53PSspdSyx6aXKU9xrvsXlTaruMF854PZ9MHtyjny/v3YYhUs/y+yRjUofxm3POEqaIQJS9l1iIOtx4gt2U3bZ7mwMc6RYDn/KeAvf88RMzUGJY+txRNeN/4eE9n6KOM8SHjyArPZG3tBuqdDWSFZ7IkZiG7G3PY35TTJ5Swc45+1tGQW8O2230XjtAJMcz4y3loonq2/BusB39t8gpWJ69AJsgos9ay2XSYrXWHOWn1H9fsdEjs+8U/ER0+SSw0M5nxD12IwuB7P04lCqX72MuSZvCrlAUk6MJxeT3sajjODxV5rK3OB6D0if9iOdh14QhbOYPYG1d21vzubaIk/H8L2h0mSRIr5tVRV+tlZ24cCsPw1joZDo98eL1xGSCilkeTFf8+OqXv9tLlbaTJvo/jrR/SPIg64z83xHuHFUapU0k2zGeUYS5RGl/qc6X1AF9X/B7whe1J/fRzOl0x4d1N9EoUrKti8rmJPTy+BO0YJobMJC1kJnHa5M5uPUp5FCHKcKrtpYGPNQQZ5Zub1xOSYGDhn2YhV8kH3fB4TuRMLk28iFhNDKIkUmQuZk9jDutrtwbs7dkbwPmv7qH4g0OMWJpC1kNL8Sr6zx0IFuDhKiMLo6ewMHoqU8LGUOto5to9T+EVZUSojDS5uu5mmvaXkvdHX3JY7PkZjPnN8k7PtrcNB8DTwxI5K34SK+LTKbM28uu97yI63ES/cZA9O3Zhc9iJv/FsIs6b0SndBQojLLrkseGBtiAII4H3gFh87tsbkiT9o78xWVlZ0r5925AkB6JkRZIs1DRcg9VTi0GzBINmKV6xBY/YiNfbiEdswOY8AAPU9wjG/vxQCx+/Z+PF18JZca7/7Mjh3Bz9ubxxfxDXyOPbvfA5RGhncaThURrs2zCq0og3Xk2DfQ8N9r24xMAeX4f93ACHnhDXK6JJ0s9GlDwcbVuDgJyrxnxMveNouxe+G5s38HmdCYD3mKdHnfBYzO4W3JKT+VGrOCfhOppcJvJa95Pfup9S69FTanpsaXVT9G0JU66eGKCiYvAAT9IlMiNiOjMipiMg8MBhX8eoiSFTqLTV0Ojy/x57JBkbr/2EhEWjmXjDDARZz3UMV13wcJWReE0EhW1lyAUZn897nGaXmU2mXDabctn03MdUfZvD2NsWk3DRtM7343TGgXtFGQICoUotLW4bykITe+59FYfDwaaTuWy0lbGj7rjfaondAT6c0I4H4iVJyhYEwQgcBC6SJKkw0Jhp00ZKm7c9iCBokQk6ZMe6kA4AACAASURBVDIj9U33IkothBpuJSzkLmRCaGdhJoCTVeOQJAvhIb/HoLsUj7cGl6cGt7cGj7eaJss7+K4ZSvqD+7ZNDm67vomLL9fy5N+Cjx4ZTpC3WgQO7HKw8KzApScDr2M4PXFf4+BY/TlMjHwUpdwXt9zmLKTOvo/jLW/iPg3ZmmfCC1fJDMyMuokkw1yMSp9mWmc/wu76t6mwHQxijcMjowwW4Dp5CBNDZpAWOouxhqkoZEra3I08deTOfvtkQmCAd2RB+tbcP2AGA3C9XI/Va0UuyHk580X0Ch3HLSXsbshhb1M29c6uKA97o426g1WMWjFuWMvK9jdeKVNwTtxMFsVkMCVsDDJBRn5RIS/nfMGR6NaA4083wKtfXctkRQw3/vl+VqbOIEKtx+x28IdDn7KttiTg2PxVT5weeUQQhG+Af0mStCHQayZPUUrf/BgV6Ol2kyGThSOXRSGXR+Jw+rqV6LWr0GlXoJDHoZDHI5fHI0lOyqp9baKiI15Gp1mGx1OO01OOy3MSp7uYVpvvlsjhkFg+28TSFRqeeK7/3ojB2GBh7vVK3H9rAw31IjffGcKCZdpTbGk2eIh3ANxm8fLl281c8etIlCo5IapJRGrnEqGdjVE1ga3lC5Fwk2C4BEEWRb19N22u/iM3YPB3F9vWWIgeqWb0JH2/rxsqwCPUKYzSz2GUYS5769+gxp5DtGYCY0POodSyi0pbLnarg52fVrPo6hF90uvPpA5euL6a0FGhxIwLQS3TkmrMJFIdz5Y6X+Glq0c9gEt0ktu6n6PmXFwBojtOJRLFZXFR/P0JUi5J81umtbt1b3Q8IyKTmRFZJOt9MtxHZZ/ydfWm/sf3A+CKjcfQp8RiSArsXAUL8EhVCHND0lgSncE71evJaz1BiiGBrPCJbDLlUuvwn8Bma3HRsKWIuPOm+pVRBgtwSZIoffZrEm89C1loCHJBxszIMZydkM6rxZswOdpYEjuROVHjWFOVx8HGciQkWrYcpvLFr4cf2oIgJAPbgHRJktp6PXcLcAtAwgjZ9O17Tn0jsMNkQhii5Ivj1WtXoVHPRCkfhUIxCqUiCbenhErTUgBiI/+DXBaL01Pi++c+jtN9BJcn8BVusNYfyF/4czMf/tu3ibP8PC3PvtL34nUmIC5JEo/eXsu2tRZW3x3FNXf2XIeAojNscHL088QZzgXA6W2g3raHWttmaqwBr8s9rL/zMVU4uff8owC8tjUNZWjwdx9DhThAashK5sfejVKmxeW1suvgJt78x8eYI/ez4vbEwHOdRhmlpdrGKxdtRiYXuGfDWagNyj5e36oRv2ZS6Gz0ihBcopNiczY7G37imCUv8HEGCfDtz+6j8LNiZtyeQeYN6e1rDd4Dj1ZHMTMii7zWAsptFUwwpnJl0mXsbsxmT2NPD7zH+G5rsFS0sHH1pyi0SlZ+eQ0KjXLYPPAO+8XIRdw2dhUAR9rK2FSby5a6XOqdXV540XNrMa0vIOW2xcRePDPg3MHWQpE8XiSv2Ke7fPfx146ey+2py9AqVJjsrXxftJ/XbnuQA3v3Dy+0BUEwAFuBpyRJ+rK/1wbnaQ+XyZHJwhBF3xclPOQ+1KrpKBVjUMgTEQQZNvtP1DZeA0BU2DM4vS043UU43EdweU5AgOzDYK0D4l/+18JTf+zS/ManKXni7xGMHT+wXDD0Jgo9vxymKjexI5R8/EYzrz3dwOjxKl75ciRaXdeXxp+UopZHE6GdS6R2HpHauTQ7DnK47i4ARoTcTIsznyZHzqDiw0VR4tGrj1O438q1DyRw0c09L+SnW0aRCyoSdVmEObIYpZ+LVqfl3eIL0IbIiNRMweppwOwOXCBqOAHu8Cr47217Ob6zjuX3TGTeDX1rSru7RXeM0qeRHjqbtNDZbK//ml0N36OR6UgNmUd+2/4eKfXdbSCA1+TU88WNG9DH6Lj8U/+1UQa7iZkeksZlIy/pbHJcYjnBroZs1pu24hL7SpmSJLH5ju9pOFTN1Lvnk3LZ5D6vGS6Ax6jDWRyTwZLYDFKNI2lz27h05yO4vdB2qIJD93+KJi6UrH9fh1zT9Xmf7mJWGrmSRTETWBk/mXmRKRQXFzN58uThg7YgCErge2CdJEkvDPT6MwvtwCYIWpSK0YCAy10AyEiM/QmlYiyC4PtiipKDVvO/qGl9ERDQqefidBfiDWKzrrvt3u7krlubyJqpYuEyDbMW64hPHHrC6VAgfvK4ixceb+Gq28L53TVVaPUyXv9mJImj+4djX4gLKGRGPGIbSlk4C5O2IBNUeEQrTfY91Np2U2vb3G8tcYCv36rn7b/UMjFLz+MfjkUu77+sQLAQHwzA3U6RJy86SF2pgz/9ZwWJM31x75cnv0e4ehQNjmOUmHdywrKDRueJAdY3dBnl0HdVfPaHwySkhXDjhwsHlCW6ClsJyAQ5XsnD5NB5XDnqd3glDycseeS07CO/dX/AWPDeAPe6vHz8yzU0l7Zx3gsLGb0ocVg18A4PfFbkDCJVEdx56D68kpfR+vHUORpodvs83BPfFXHg6a1ETophyWurEGX9H2O4AD5CG0WSLpbdjQV47W5eHnMbFaXl7BCPc0hXi9Xrv33Z6QK4V5RR/+0+bJ/uY8LyOez5fM3wFIwSfDscbwFHggG2bwwog2/EMKC5hxCV6LsY2XG5u++XilSaliCgRqkci0o5EZVyAk5XPhpBRCFPIinmUwA8niqc7gJsrnzabN/h9BT7PU7HsbQ6gW3ZcWg03U+8y4MfrDY+lNrb331iYf92G0dy7IgiPPp81IDAhp5p9z6AS3jaW625xWa2lPmiUSK1C4nSLiBGvwxZvZUay9dIsjiMqnE02Q/26O5TfszB+38zodHJuPu5EWgU4qDS7Iej0JVG5ua7l8swnbQz89zITmADrK36I8mG+SQb5jMzajWzoq+noPkrNpv+CfgPJxxsbZSOdVmanPzwzBFkcoFLnpiMVuUrrgTB1UVxt1dEy2vdSdOxWtJD5zIpdDaXjbyVSxNv4q9Fv6be1YaA0CMKpXdzhwNvF9Bc2sbYs5IYvSixfb3Dl07f7DbxQ81afqhZi16u72zscMfY64lSR1JsPsbmsj3s+Ph7ZAoZWX9chEwuQ8bwptIHGl/vMlHV3i6t8oMDfJP+NdfcsJqVcStxed3sbTrCJ2XbyO+VidnxWQy2DopvbOB64J76Zmrf24wkSrScPRo+7zPcrwXjCs4DrgXyBEHIaX/sQUmSfgzuEKduwVwAuoO9qtJLba2X6Vn+f/gSTlzugnbvu8u8Yj019ZejUk5CpUxHrUonSrMM0VOI4C1CpZxKRMj9WF2Hsbtycbhy8Yh1CIJAxvT+4ajxU1hqMCAfCFRul8SaL31ausUsMSJJgdUqYq6zEx2raD/ewJ6iv7opXslGvW0z9bbNAOiUo3F5fV/+kfqlTIx6uN0L302NbSc1bdv5+327cLskbn44nvhR6qDOobsNtdBV9zlP5llY81Y1xnAF1zwyukelwjZ3FYebP+Fw8ydo5GEkG+bR6qrs7NZzUdLLnLDs4oR5BxW2bESp523+YAD+4zOF2FrcLLppDAkTe6a3D7ZLT5W9hCp7Cetq3ydek8xoQzpt7kbUAlw28i6MinByWveS17oPi6dr28l8spGD7xSiCVGx8P7pAdY7fAB3Sm10NHb429F/MCsyi1kRM7ht8nXccuwaXvn2NXbE9dXph7sWir/xrUUmSj7Zy2NrclmbVsGUkRNYEjONxTEZxGgOITeLRKpCGKVLILv5ON722kanUsjKN77reZdXoOLltYgONyNuWIpuRPBBEwNCW5KkHfhix/6nrTvYt2x0UFsrMntG1489GG9dkuzYnduxO7d3PiYIWjrKcsllISgUCURpFiMIvg/N46mmpuGXmN3HkcvCkSQ3ohQ47bq79Qb5qUB8008Omhu7vhRV5R4O7XWwaEXXxt9QCmH5g7jN3VWhr9ryJQ5PFVG6heilBUyNXs7kSC+NVdFkLpRz4TXjcIkt4CcJJtiKhUMpN+txibz1YAmiF65+eDQhET3PtTvAHd4Wilp/6PxbJsiptB1knHExk8LOw+W1Um7dw876f/vVwPsD+JGt9eT8UEvUKB1n3z4apeANqktPMACvcZRS4yjt/NvkKGdEeAqXJt7MxSNu4IQln92NmzjUtIv1j+9H9Igsuncq4TFKaN+bGGp7tcEAvN5VxddVtfzzo5dpfK+W1besxr0YVDYPcZpYfpl0GdvrD3Cw+TBOseuzPh0AFz1e8v/6E4gSaXcuQh+hosR6giPHy3jt+Dc+mQA4Ky6Lm1POb48Bz2Fj7SGOtHVVcjxVgLdty6ftQAnalFhi+tkA9Wf/rynNOhjbuNFJba3IH/7YVX8kkLc+EMwlqeuW2u7cTqVpKYKgbffEp6JWZuDxVqARRMKNNxNm/C1uTzFW50HsrmxszoO4PMeCWvepQPyHT7p0zdAwGX98JpLFK/sPsTtViPtK0DposG+l3raF1QtLuOL6LForx+H2tnLfM6OZHvMkIep0Gu3bqLZup86+y28nn8GUnA3GC//m9Roqj9rIXBbG/PPD+t0+7QFwUUmLq5xNNX9GJigZoctktGEhSYbZSKIZpeBlpH4WClkYpZbduMSeG4Ld39MWs8AXj/vkucv+nIZSIw/6XAcLcLcoZ1v9V2yr/4pYzSgmh84lPWwuSbpRvP/au9QVtnLPY3egu8SCQ+xqRDAc/TGDAbhos7P/b7uw1dnYqNpKjM3XJCVaHUWyPonM8AycXicHm3PYXn+A3NaCTg8Xhg/gxz/Nxny8geg5ycQtHddnfMfYLyq2UmGrZ3lsJhckzObSkQsos5q4ce8LeKSev9PBAtzdaqPstY0gE0i55xxUSvDn1ASy/3PQtlhE9ux24XJBebmHpKT+T3EoMJckO07Xfpyu/T0et9nXIEkuNKpMQnTnEm64GlFso7R6AiChUJ+FJLmwu7IRJf+7/90tWIjXVnvYtdW3iTJrvprHX4gkOlZOh24a7MZdMLf83a07wAvy3ZiqPLz01B5gD3f/JY6oOCWV5k+I8TYQpVtEvOFCRMlDZdtH5Db+NeC8Q5VRSktFYpPUVBTb+ebVanRGOTc8nowgCCiH0DfTIUKFdS8V1r3QzcGeEHoeY4yL8EpuqqwHOWbexknzLhxijyhY1r94lNZaJ/OuSGBMlv+CVqcD4CZHGSZHGRtNH2GtdbPlpQIWL1vEC4/+E4/o5rgll+yWPRS0HsApdjklpxPg2a9kY6uzMf7S8SRkRgNePKKcvNYC7j70AKnGscyJnMXMiCxmRGRyR/a9tLhFQpUhtLnNPbT6DgAH2oDsDeAOs1S0UPzOPuRaJVPuXeQ3e7QL/l52NuSxsyEPvVzD/OjJxGsjkQQ3cgHuGHcxFdZGNplyaHF33VkHA/ATb2zE02on/vLZ6McOvsPX/zlob9/mAzbATxud/OqGoZ2iP5gP5JU73bk43R0dKASUihQU8kQ6klViQx9ArZqEJHlxuQuwOPdhcWzG6tgS1JoCQfzbz6wolPDbB8L45Q2G9ua+3c9lKA2FB+eF717XMwPt7w/WUlrs5NcPbaDethGQEaqeQrRuMTZ3GRrBjVzQMSP+Q0z2XdRat7TXSRm6jLLmjUomzzXy7Vt1eN0S1zyRRHhsX088aFmmlwfeYRuqHyVWk8Zo40JGGxaxLP73VIce4ruKu3FLcpSChqIDtWz/qIrQGBWrfpcy5E3M3jYYgEuSxPdP7sdt9yJNMvHKsd8zOWwu6aHzuCopC7fo4pVjv6fC0bf93XACvDanjqLPi9DF6Jj+my49vXs98KPmYxw1H+P9so9I0iVi89pRyeD+8bcSoQpnR8N+djTso9xW1TV+EN630yMj72+bEV1eJt01D22sEYLcAHVjZV1tl4OmFOSkhSRzceICfjPuAvY3H2V9TTY76vN7pKr728Bs3n+C+p8K0SSEkXTtHOQyccAIlN522qGtEQa3oKGYo9tt1MaNzh7//9UN/UsEg7HBgVzC7TmO29NV6au6/mI0qulo1DPQqGYSrr8alTwCr9OXVRYa+gQOVyE25x7c3vJAE3eaRvAiihJFuU4++S6aURP8dz7vex6nBnF/0NmxvuvOQRDg5t9H8stbwxEEsbMJRKszh1ZnTufrVPIIXGITY0KvZWzYDbi8jdTatlHS8g4Wd+mAa+++blGUOLiljS1fNeNxS0ydb2TFL0IQ2j3xQDLKYCJROs9fVGJyFGByFLCn/lWi1KnIZSokSaJog4UXf/Mju+p3Yr35E4yzj6I19pzzTAE8f00VJdtNxE0MZd7q0VTZj1NlP866mvcZqUtlQkgW9c5K1ILIstgrCVfFcLB5N8XmvB6deQYD8N7w9rq8bH1yDwALHpiBMUSG048SoOjWBu6ktazz8fW1G5kbNZvzE5azasTZVNgq+bJyLbsaD/QcPwDAa9YU0Hioioj0WJIvSu97/EHJL3D7wRcZpYtleVwWy2MzeST9Gl4+9hWfle9ELsgQJanz7qAD3l67ixMvrQcg5e6zkbcn4HSXT4Kx09S5RjgjsO6wjmN5vRKbf+qC9p7dLtwWMBplPcA+nDYYkEuSGbtzC3bnlo7RyGS+aAKZLJIw3aXIjTcDvpBDi3MPzZb3sLsO+J8QcDolXng1oj3UcGia+OBbmPX0wouPS5Qe88FRb5TxyD/jmLWo62IZqK+m3VNJdu2NKAQDkboFROuWEK9bRlXrO3gEN6HqqagU4zDZtrZvZgZed1Ghk+a6Lrg01rh4/eFKrn8wAY1OPqRwwmAB3uD0hYNWFln5+m9VzEp8g9np5/DGG28gSh6qbIfYWfcGDc6+WbnDDfC2egduSYlMLrD2mXwEucCFj01FppAh6/b9KLcdpdx2tPNvmSBngjGLaeGLsXrayG3Zw4HmbZTbeu7HDATw3t539jv5tJS2MWZZEsmLRravNfi+mHua9rOnaT9GhYFZkTOYGzkLo1KFSuZBL9eTET6dPY3Z2LvFWPcGsL3BSt7LuxAUMjIfWIxaJdHxWzmVEMIym4m3TvzA2yd+ZGpYCietNchlImfHTee60StZX3OQdTUHqGwPMzz5zk6cpjbizplMVGYi7iEi6f+UPJJ9yE1DtwgKtxu2bHVywfnafi8iww304EHu7szkFMVGymrSUSpS0apno1HPwaBZiNOxHsktolSkYjTegdW5C5tjJ26v7zZRqw18Xt3llKEA3LfugcftWe+TRpLHKnnyjYQBY8N7b2Z6JAsm6xpM1jU90uvj9OeSFLoaSfLS7DhAtXULtdafsHv71lI+tLkn1F0uifOui0aj81MN8TQBPH9rE1XlJlZfchdK9T38fd0VzJ60kpSQpUiSFaXgJU47Gb0ikROWnf1uYg4V4Ee31lN6sAkQsDW7mPurscSn9Q0n6629bqj9kE2mTxhnyGBq+EKyIhahkSn5wl6IU1ISrY6n3tlTRgkE8MbjLYSMMNBWbSHnnQLURiXz7p/h93w6AD5QBIpdbGWjaTMbTZs7n8sIn8KvU1Zzw+gryW7OZWvdPr8bmHl/34Hb7GLCDVmEjOm5txDsBuZA3ndOS9cdtcnRTJm1lquSl3Lt6OUUtpbyVfYmtn39AqoIPWNu8TUzGUj/DmSnpZ52xlSVtGHNma+n/fqbFlxuibfetlLfIPLk46GYTF7+8Pu+rZ+CtdPloQefMOTbUNRplhMd/iJyuS/T1O0pw+LYQX3r3/CIdYM+/lCqGgYC1w2rqomMlvPYi9HojV1f7sEWu/KXXm9UpRGjP4sY3TIMqnHY3VXsqFyOQ1KikoV1euD3XnSc43m+TbW0LB1/fGUUoZGKftfd2041I/OpK/M5lt0VGaNQCvzqrxOYvrLrt7Ag9l7SwlbhFV2UW/dS3LaFk5ZdeCT/haF86wo+E/ODu7IpbG90HDFSx51fze9sEjFQMavu4FDJNKhlWsyeZuI0yfw29QVq7KUcbN7BoZadtLr9F2AC2PyirxFAVbYJU14jSx+eRdpFKd3WempZmN1T6MfoRzMvajazI2cSojTS6m7jnkOPUbLzKKHjImnKN7Hzj+sJSQ7jrHd/gVwlP2NVCEPRsSJxBiviZtBW1sC0yVNJf+x8ZqxcTJnV1OPiArB1+fM/XxOEnwvaHSUqZ84zUVPjpeJEQo+ylcNlpwPkwUFc8Hnimvlo1fPRqGZQXjsLSbJi1F2JoEjF6tiGzbUPSfKfkhvIhgrxuhoP33xs5sa7wvpsgPY9RvAQ9wdwnWIUGkU8TY49gIxFSdtweZsoqdvA6vNe5/Dhwyy5OIw7nhqBUu3/h3W6AG5pcfPb2Qc6O20bwxXc+cp4xk0P6VPQKkYzkRTjUlKMS9Aro2lwHOOLspuCq2HSz3vocYk8Nm8zTqvPg1Np5cSkGLj82alEJffc2xkMwLVyA1PDFjA1bCFJ+vGIkshJSz6fVL5Jk6uvw/De5euoL/bdfY3IiuWi15YG/A0OF8DlgpwpoemkGEbzeeXX7H5yG/dd/TvKi8p55/W3SXtsFlFT+kZqnE6AV/5YiGDQYTnRQMvXR5CnRTDrqV/w+fwnsHjsrK85yNqa/ZTbfOUg/j8J7Q7rDu0zZT8PyH31sgEiQx8nxHA9gqBCkpw4nPtpta+nyfLWoI87GIB7PBIKhTCE/pOnBnCZoGKE8TJidCsIU09HJpNjajhBmfsfmOyb/czS14YT4Lu/b+Rf9/g06/gxWu55YwIxSX03hrsDXEBGnHYKKpmOMusuZCi4fPR/qLTlUty2kSrbYYJtcAxQsq+J167v2v/QhSm55qVMkqcH7p85+IYOcWSELSQtdBavH38Qt+Qk1ZiJS5JxzJxHq8nCG2d/3/l6hUZO7MRwzn52AbpI/01JYGB4+9YaHMAlSeLLCz7mx89+YPHixXi9Xg4357OlcS8Hmw/jDlC3/FQA7m9szqM/0lxQg6vFjkylYPY716GLDmFO5CTOjp/BrIiJyGVyCltL+Vfxd7w6887hqT3y/1tw5k8zP1WQ99bG+0K864HG1kdpansGjWoWWs1CtOpFhGiXYrO+CYDB+Dtc7hKszu0DFsMajBauUAjtax36ZuZAAO9bGwVEyUVF24dUtH3I64+5Wf2rS5k360JkLS1oBDcG1Xii9BdQY1lPq+uI33mHkpEZCOA5W30yzaQ5Idz+0nj0of5/Wr03MWvs3aNp9NQ5CkkNWcKksPOwuOsobttEXss3/WZidrx/RdsbOp+LGqXjxtcyiRqlA4YvC7PJVcumuk/ZVPdp52MLoi9ijCEds7uZddYf2JVeSn6+TyIxxmg5+/EZA2ZhDhQ+6FtrcPp33ZFm7A02lixZwrhx41i9ejXX33g994y/hS8qv+bTirX+xw8x/rv72I7xokek4UA5Hovvu2NICadpRzHKRSnskPLY0ZBHuMrI8thMzo6bibNbEt9A9j/jaSsZvmiTzHk1VNd4qT3hv26yexDZR8Ntw+WRByenqAAXgqAlKW4/cnkkkiTidB2izbGZNtt3uLqFJAZjg5VRzoQHXnnCReKYnjAdYbyMCZGPIBMU2NzlVFk3UG1Z297kYXjW3AFwUZS4ffYhMpeFccPjyShUXd/loZSUVQgaRhnmMS5kOYn6mXxfcTe19jzUct/tvcXjv7ri06v2UV1sZUxWOKtfmoo+zP8FZjg68nT3vuWCgvHG6UwLX8w4fSZKhZJXX32Vv7z1KBc+PxdtmP9ekafSyKFrnX3nOPzOYbJfze78O2nZaOY9vIgpMelUO2ppdjWTGZ7BLxIvYnPdbrbV7x1SI2MI7H035laz+7c9K1inXD+TsdfP6pSKeo/dtPTF/21PezghPdzHPp1Q7+2RDxXiA3vhAL6rvCTZKauZglo1Fa16CTrNEqJD7kUmNtFmLcYtRKJTz8Pq2Ioo9d9+bLARKYONRhmKBz4mRY6r1/lXmT+jzrqBGN1yYvRnkxJ6HaNDrmBr+TxsooRCMOAJUCOmY83BptMXFrg478Y4zr8lvo92O7REHigx/0SJ+Sc08lAcXl+mZVbkFUwKu4hqWw5H2jZQYt6Guz2jsbnWQXWxlRkXxPLLJyegVAk4AlzYhyMGvGfkAxS27SWvcTfvX7qHi8//Bd7INq56bQ5hugguGHEz+5q2U9SWM2zx313r7Bs+WLmrsvOxyddNJvO2TAQZFLR13XG5RTdO0cnq5Mu4KuliDrXkstG0i9yWQr/Zl9B/BElvANfv7Yo1FxQy0n+/jBFnT/Q71t/4/uyMQ/vnhHWwFmiNpwPmZw7iPg/b6TpEi/kFZLIIpPbKdeHapcREvIQkuXE499Jq/wmLYwMuz8nek/Ra+6mFFJ4OgEOXB+4WW6iyfE6V5XOUsjAMqvGIkguNAHNG/AdJ8lBpXU+VZS12T1WfOYNd69jxCtKmRAHuUw4hhC6AO0QlDm9Xpunh5k+xe1tIDVnB8vgHWBR7F8Wta9lseomiHU2cc0cy59ye3HnhGEwIYX/r6QD4QPJJdV4j1WUmDos/Mf+SCQiCnGj1CEbpJpAeOgeLu4WDzTvY17QZk7OyxxyDjf/2v04PTrOL+vx6BLnAnAfmkHpRaufzHfJJR/p8XmsBCdp4FkUvYH7UHEbpkrgv90GcohyNTI2jV6u3YMP/XF45de3QVoaoyXryXCIzRtCRgTnQ+IHsjMkjZxLWA8kjw22n0zMfDjllYClFjkaVhU6zDJ32LFRKXz/OsprpWD217Z2BWhmod2SHDWc4of/5T20TE2SMDLmKOP15hGkyAGh2HKS4+S3q7DsGnPNMhRD2mKsXMGM1kxgXejZu0cbe+tdoqnGwMO0GTlp20eKq6GdNp6+h8ZZXiogYqWfKBSN7yCcy5KQap5EZsZQJIVkIyHj2yE00uvuvvzMU+aRkYxnb/ryHs55dSOLs+EFFn0Sro6h1ygfVAAAAIABJREFUmFAICv4+7TnKbRVsqN3Jgebcztrgfcb7AbC93sqai95DnxjKjGfPxzDSfw/M3mPXLnrpfyd65Ex712ca2v6sss5NbMzg4TWQnQmIK+SJaNRzsNg+AyA28i3UqhmY7Rv+H/LeOzyKcv3/f832kmTTCyWhioACIk3KAVFQKRZQUUTsRwULKjY8lmMvqGDvCopiRRSkF5EuvRNagBTSN9leZub3x6ZtsjWF4+f7e1/XXlxkZ56559mZ99zzfu6CxbEcm+uvqEIKW1IHbyqB61StSDeOJiNmLCfMH3PGthitMgWj9iIK7WsQw5xncxJ4U3pimtRtuL79HBSCikLHfg5ULONI5ZoGCTz+NjWdwOuSt6XISWxqw4iZ+t3o28d0Z3/FJgBuyHwEt+RkY+laTtqDNxoJR+DV5L390z20H55JYkf/hKJoYr91Ci1XZIzkXymDSdYmUempZE3RJpadWUupO/Aifl0Czll0kJOLDzHglcvRxvsiZiIJHYyUtJXPPfdcuG2ixkcfvfDc5Em+uND/hRxSWSnTvaua4cMaXkAul4zHA+rmbK1TD+XlEldfX4JWJdC7hxYlAkoEpAg91VBQCYLfxxtizPx8kan3munVS01CQu3voBRqP4EeAZJc6dfxR5a9KBR6YvWXEx8zgaSYO9EoY7A4w3ulAB+/XcGxg2569VQhRVDeQCnINR8pzPWjEqSaj5fgN0ZRgYfXpxfQ9TwNCQkKxKpxvZIFs2sHuZbvsHp8i7KtYq+hR8oLtDdNJE7dFrdkw+FtWFQpGltVgohKEPn2rXwKTrho193QQP+OfKyq861DqC6pkoPmRdi9ZaTqu9ItfhQ9E8Zzxr6dSm+J3/7Fpxx89/RhOvY0EhenCDl34eypO/9KQ+AFx7rn5ZI8FFdJI6ve3EfvcwbQv91wBiaPpGd8fxSCkmJXAd56TSdUCgmVQkIMIo1Uj59xfhK65Ib1huraWXeM8mPlbH59M+k9ktHFqlAIMm5J4pAlm+VnVnHMeoJYdSxDUweyy7wDs6cErcKIhOSnfSsEueZjKbDS7a7+qI21D2qlQq75BDqH/W+voeJQUcFzzz33ScATrIMW97T/aRr2My+amTYllsTE5veCwZc+fe1NJazf5OKmCQbefi2hJiyuPppbVqn2wud9Y+fGiXom3VTO+r/cPPZ4DPfdHxPRGKG9cA167UCM+ivweI9TYf0Y0JCa+A4VjtVYHCuQZP9qfwf3e5gwppg4k4JFa1OJj6+bMXn2PPBn7i1g3VIrdz2axE1T/OOWA/XITND1ISPmStKMl6NSxGD3nGZN7jVIsptwCGbn0T12nhifTXyKineWdUUREzxuOZLx6qK+952iO5fOsZeypeQTRNlNF9MotMpkDpqXMvP21RxcX8b4GZ0ZdrP/22hLyid1cXRLGfPuXI+plYH7fh1N7/Sh9E0aQVvDOSwr+Jp1xQtwyxo/YmxwjAi972BwepUsuXsJRbuLGPSfQXS+0r/Zcl3v26SOo8LjWxCenDWRvom9WVW0gVWF6yPyvgOh2vsu3HiCv59YDPC/l0f+aYS9YbOLsdcWk3OwFXGxLWPb6j+dFJeIXHqxjqQoHwzNQeIFBSK9+xcyeZKBL+fY6dVLzS+/JgZ9cIS0J4JLQ63qTEbyd6hUrZFlDw7nOsrtv2NxLMHjtXDTNSXs3eXh1VnxjB1nCDpONAQebRjh2tVunrg9n6xOGj5bnIlaE3wu6hO4QtCSYriEGHVHjpl9/SPPSXycCvcp8qxLg0ag1LdVFGWeGJfN8f0OHp6dxaDR/jpnS8snQ9Mf51zTKCRJZPHiP/hlyVx6Ty1DUEaevNMYewKRt9ct8tH4PynNsTLx/f60G1ybBJeua0elpxS7aKFH/GAuTr2ODaUr2V72J04pcCxzY0MHDy44wrqXtpDRO5WRH14RMnPar/u8qRsj0y6hZ7yvi/xO824W569lf2XwcNJgBO61e1gx6XschRaIkLT/zyfXaIXITqHSIjF1WjmyDLEaFdoIXtNdQTKnQmH40MjKowZC/YdcY0j8j2VORBG+nGNHoYDXXjIRo1Y2SguvqyAFI3CP9winzvRBq+6F0TAGo/5KWifNIq/oKJ9+tY7C/ASGX+plzDWBX52rUR2JEm0YYTjicDok3nnWl2r90AspIQkbaqNQapN4XBTa/qjpgSCgJlHXnyzTrXRPeowi+wpyLL9R4thKoIXaaluXzSvh+H4HPQfHMnBUwwJOujAlZOuOBZFHn1TjzzOvsenUV5Sv7sPECZMZO3Ys2RXLWV7wavBx6iXvNMaeQKGDG744SmmOlW4jW9H5X2nUNOuQlJyp0z7N4bXhlpxc0/o2RmfcyI7yDWwqXUGewz+qqTGhg/YSB5vf2YlCpWDIk/3RVUVvhEvc8UpK9lUcYF/FAZI0iQxPHcqw1CEMSankiHU/bkmFXqnzqzoIwSNPDny2FUehhXZju5Lze+AksPr4P+dpR0rS9XHPwyXMne/ziiyns1Aqm65pN4bUm4JISHz8hBL+Wl/7Cq9QwKyZ8dwwwd/LbcqCZuiuPjI6TS9OntrJZcOLmTnzPe6863YczpWU2xdgdaxGJrzE4LOx6fLJh2+UM+f9CkaNN/LMm7WL401dwIzTdKdV7DjSjaNRK00cKnmBI5U/Bty/tNDDlJHZeN0y7y7pTEpW8DeOumhu73v+C0dZOy+fSyZn8tjLk7GLZRQ69hGjSmVQ2jT2lP/OKdvfRJM6H609JSdtzL56PSqNgqkLhwdcuAT/xctW+g70T7qcHvFDMLuLmJ39IK4wdoTzvpfO2MjRZTn0vvN8+t7Ts+H+YRYuodb7VgkqdEotVq+NjjEdePLcR/izeDNLz6wlzxF4LcQrKyg/VMyau35Ga9Ix4tsbWXTFF//vedqNJezfl9prCFuhoFkIO5Q9LUXm4TzxsjKJjZtqCdFkEvj4g4SAC7J148OjJfBQHvjnn9i59Y5dPP9sBVarjMP1A1abBqPhKtoaxiBKZsqt31JU8VLY4zQlkccjKzlx1M28TyqIMym4f4a/jt2YGPC65F3p3k9l6X6yy14jxXAp5Y4t6AQPacZRvkiUyl8osv+FjMjnLxbgsEpMnJZKq3ZaiLT1WTN63/n7yvnz23xMKRrG3N+GE9Z1Nd+ZNG1I1Z3LlW0HUeHOY595EQcrltQk9fjb1HjvW5ZlFj6/H9EtMWr6uUEJG/y7vuQ7jrMg9wOW5H9FvCYVgFilkimd32CXeTObSlZQ6fXXlUN53yc35nN0WQ6mzFj63d4t4CMqmsbFXgmsXt/2Vo+VzaVbGZY6kJHpQ9lbsZ8/8tey07zPf+FS9LLztbUgyfR4cBCauNBvonXxzxKdg0ArqBpN2EUlIvc9Wrt6rgnzetwcqLa37qcloEZR8wFYvsInjQCc20XFssUpAQm7PnSCouYTtQ1C7UeSZD7+wMr995pZtsRFp85KLh9ziNKKpzlVcAEFxROxO1agEgR0goROkEiKnYpG1THscXSCWPOJBCq8zPxPKV4PTHkigYSkUOToadDYIRA0gljzqYYkuym0/YG7qi66UtARp+lOv/R3uDRzKSbLXeTsiaV1ew3j/92wtINaEBtkjTa0z13zCYVgY4lemTnPHEeW4aanskgwyX4ZmHn2Hcw7dj0r85/D5i1mUOrdTO74LQZF8IdFJHNW357di/M5trmUNueZ6H9DJlqFp+YTdAyFWEPgTsleI5/olTGUuvK5JPUanur2HpOzHiDL0DngGFqlt4bEPQ4vf77qax128ZN9UWmVqAXJL3mnwf4Krx+J14dKIdYQeKGriM9OzGHazkf54fQvtNa3YmrnWzHWW1M68uM+zNklpA9oS7sRHfwyL8OhRT1tD1KTJZKmEJ4sy9z3aAnFdRojaKIr8dxsqH8eze2Nq1GwZKlPRxtzhY53ZsUTExP93DfFA88+4KWsTGb5Ul8m2eixek4c89LpHBVKpYjDtQaHq7YCn1rVkVTTY6TFz8Dp2kaZ7Ucq7b8hyQ09PH8bg+vfxYUiKWlKFv9iZ/tmFz16axh/gx6FELxoUu24TfO+AfKtv1Bg/c3XyNh4LYPPn8qiRf9i2b6xQcvFQvTFq6LxvlfNO8PJAzbOG2Ki7xVJtWPV0b4lvByzrOGYZQ0Jmvak6bvjkR2oBRiQci9nHEc4Zlnnl4busyeyrEu72cPi1w4hKODq57qjqPe2G2nWJfi87wpPCV/nvEKCJo3+SZfTJ/FSesQPYvbhaQF7XoKPvLd+sYfKPBtdRrenTT//Uq2RpsxHontbvFZ+z/+DPwqW0UqXgVtyo1UIPN3tCXbl7+eRxUtQalX0nj446tLR/yc87cai3Cwx+YZY7v+3rwmCKU5A3YgoipZAc3viVpvE2nUuZkyPY84nSSTEqPy88MYgWg983Z/+ab+z37Ly1zo3iiC7e7zHOFXQm1LzcygUMbRKfI1zWu/ApO0VoX0Nve+nHijlyEE3b79oRqmEGS8n1NT5jsSrrR278d63jJdi+yqmz7iWDh068Nm3j3DBQCNGhZqhrb+jg2kyakVs0DGb0/u2FDr4ZdYp1FqByc92CEgQOoXHz/Mud5/gUMWiKlv0ZMUM4rLWT3NLx2/pkzQJnTJwU5FQc/bH29nYytwMuTmLrG7Bw0/Ded7g732XuwtZWjCH1w/exfyTb1LkOoVW8DA6/VqGpVyJTlEbVll8xMy2uYfRxWsYPr1H8PGrPO9g3ne15x3M+672vFUKEVEWOe3wxaXrlXrK3OWM6zSaY4eOsnDdQrp36hpwjFBocdL+X1bUS0xQMuYyAzv3+Mhk8Q/pjL4sskWgs42mkvjWbW4++zCRRx+Ka9iNvZ6M0hhEQuDr/qwlEK0WPvgonnvvMaJRCAFbsAGIUjEV1o/JLbyY3MLLqLTOxe3ej06QSDFOICl2KkpF+IqROkHEafawY4uLW68pwlwmcePtsXTuGrgbe6QEXk1EkRJ44QkHdqvI6eMuvv+4jJKy0wwZ76tDoVEmI8oOuidNZ0TmCs5PeooYdbug40VuY3DynvviSZw2iauntKZ1Vui3h/rkDeCRHXx/4mb+yH2MMvdxBqTczi0d55NpDL5eVn++TuwoZ8uPecSn6xh5X8eIzi1a6cQtOdlbsaHmu1b6DoxpdRP/6fYBYzImEadMYMUL25G8MkMf6okhQVsjm9TVvxscoxmlE7to59GPHqNTp058Pu9zLrlwOK/3fJpe8Z2C7h9wzKi2/j+IwmKRDVtcnNNRxQXna/hgZlL4nf4BiFZOGTZEG7ZzDPgvZjb2gVpN3HXlE5tNYts2H3HExwt89kUC/fr5E2a4EEK3Zw9lFXtqj6PtT6xxAqmmR7E7llNim4fNuY5g0Q1bNrqQZXA6fN/v2e7ivdfN3PuIKejic6QV/SD8IhzAuqVWykpEThx24XHL3POfVBJSfL+lw3uKbQU3E6vpStu4SWTGXUM70wQ2nL6CMk/DglX1bQxnZzVxl1uU6GOU7Fxj5u9l5bTqqGPMnekRj1W/5jfInLZt4bRtCwmadpyXMI5S537UgkiGvhdeWSDfsafhOIIHr1tiwXO+7NqrnjoXrdH/um7OglV1I07m5rxEhq49Q1KuYkjKKAYnXc7RnnbWapbS/cp2DY+hDF7r22dn06UTl8XF329vxlnmYKG0hJ07DzA4+SIOVWajiaIj+1kh7ebQthuL35fakWW4arQRQRBo5s5jZw11STwQgUdC2PXRVAKv63Wv3OTE44G2mUrmfp1Ax46hL61qAg8VPlhcPg2z5V1ijROJNUwgyzCaStu35JY9GnD7zev95Rm3S+KWWw0RRQs1pvpgIPLevsHOjo2+JJCuPbVcPTEWpSD6ad8W90EOlDzFkbI3STEMw+7NQSdA+/h7sHpKyLP+gURgDzMSkvvsiaPc/nRr5jyfA9Cgxnc0Y9WP+S535/BX4Vs13/dOupk2xj6ccexjW+l8cqybABm3Q0SjV7J6zmkKjtrocUkyfS5NCFsutjnJu8B5gh9Oz+LXA1+QtOdCNm/dxKjXe5KpbwWCgdOOYw2P0YLkvf297ThLHXSd0JXk7inYRTvLC1cFPd9gOGtM+r+SSRYu9hXMuXrUP1MWaQxaIiqlqfLJxnUeevVU8+vCxLCE7XfcOtEngeDxHqOs4gVOFvSmsHQKFtt8dIKEUZVBesLLaFS1EQOb6pD2RYM1zPkhmZQ0ZVRRJz6bGiedOB0Se7fVJlUcOeDi32NOUZDraaB7A3ikMvKt1YXyFaToh9Er9QUuzVxCJ9PtjdK97RaRrSsreHxcNsW5boaNS+CCAaEjiCLS0ANIJwDL8mbwV+HbGJRJjGnzIhPbf0qmrj9zHj1AyWkHS9/PQWtQcu1Tvt8pnNQUiS2RyibWEt9v8f3zK7l/ygOkD1eR1C6Wi9Ou48FzXubuDk/S0dgt8DGaWTYp3FVI9oJsDKkGet/T2082iRb/+IXIpkRZlJWL/LnRSVZbFb3Oj6xM5v81NDeBN1b/1mhgwU9JtE1VNzl8MDDc2BwLcLl94Vo6zQXEGyfQKWMt7ZLnYq8YwOmTvptg7DV6PvgqiZh6pQqiDRuMduHy8DYrnjrdGBKSVfxndjoZbWo9w0Dk7YPE1oIb2F5wBxZ3Nl2TpnFp5jLSDcOjsnH/FiuSCOVFVR6fXWLRl0VoZFejQwb9zrMeeXtlFwfMvzL/xE2syn8BGXAUaNizqoSP7tqPLCoY/UB7EjL8HxyRknckuncgVBY6+O2JreSsz+fg8jwSs2K46HZfbe0Fue+zpGAO6bos7u30LFM7PkN747mBj9EE8pYlmeKtp1GJLja94qtqOODRAaiNdboUNYK8z6qmfbZlksXL7Xi9Pi+7SR3ZBRMKdXcQtCBoEVAhy04kz26QivFNowIizPRrKYSTUKJF9W8V7i1JlmWenhHXQIYIpH1HdNwIpBObYxGOgk3EGScTF3Mbfc77mU2bNvPlN1dw/6P6sHJRY9Lmw8kmWzfU1sbo0EXDq1+2IjUj8Kt8sJDBMudGypwbidF0ob3pLlye/egED0plR0TZiVNs2P28ro27N/h3HsreZef6B9Jr5iOakMFoZBMZkaOWlRy1rGTRN6cAuPGaO3jggQdYsO4j9q9ZTveLG9aVjmSdIJw9gWST45uKyfm7lLx9vt6dY5/tgUrj298tOVlfvJDNJUvok3gpQ1PHcW5MV/Lte4NmWjZGNinNLmfNfzfS+Yr2mE+YaXdxWzKHZgbcPxriPusLkY0hbpfsbZQn+etiOwBXj45eGlHqx6HwHkVy7+NEfnu6XDivwTZi+RRk13IEzSCUiV8hi8UgnkD0HEDyHEB0rQKpLOpjNweak8DDad+CIKAMwWctRd6SVIrZ8jYVlg9YvHAUPXq25/EndICMSjscq3M9BNGGa21rPvL++y/f63jvATpe/ySVmDiCarjVCEbeVvdh9hZPr/n/+UkPk2QYzMnKnzli/hSX6F9utRp7N9aSdmYXHf/5vANJ6Q0JuqXIG2D/Bl+i0Z49eyguLubhW17D7HyQv8vmkF25CjnANdTc5H1so6+PpschotIp2TLvOL2sXrpcnF6jeXtlN5tL/2Bb2UoEfBdbb9OF9E0ayaKC+Q1qnEB05H16cz72Yge75x5ApVMy6JE+YRcsI0GLuL3h6kY3Rt+OlngqLRKr1jnISFfSt3fkKaKgQmt6GU38m3iVI7jhrkL2792Ft/RGvCXX4C0Zhbf4MrwlVyG7NwMgi6cRLbOQXWsBJUr9tWjiX0etbINaUKLRDkEd+xQK3ShQJEd1HtU4fMTN2x9UIEnR14ppCfmkMWhs5mVo2QRkXCSnfU+bdr4FMrXqHDJTvuGcjA0kxNyCQPjfv6mySXmpSPYBN5eOMTBrThoxcYqqcaOL9w6GQ2Uvk2/5lay4a7mk7R90TXwYjcK/8FRJgYfcYz5dv8dFRl77PjBh10VTMi39xqmSTWwVHnL2+h4cq1ev5o7HruDXo9PxYGFEqycZkRF4EbnWnsgyLUN+j5vjm2rfSLxOEWOils5DfCnwdUMFwUfeHtk3b0qFmlb6Djx0zqtMznqAZI1/Ak41IpFN8jbl+9kwf9xCTqzxvYWECxUMhRbztJ2yFPLmrCbulpJLlq6043bDVVcYooqs0Ma/hUI/ltK89xg2YjrHTrj58l0BPH8H30k8iWx7r86jSgBlJohVP5rqHJTGSaiEOwGQvTmIrjV4LG+AHLjcZDX2HnDz+mwzCxbbWfx9WqOiRGrOrYq4z6Z0EgyN8b5Ded79BtSSk8ebTUHxDSTEPUxGwsukxN5HUeUszLb5QBjyaaTnvW2jkxvvjOP+GQkBf6NIPEkI7nk7vXkcLH2WnIrP6BA/lY6mm0Gu5GD5ZzXb7KqSRoZeaeKB19qg1iioqaAXYZPipnrex7eWUv2TDr4unRuf7Uyh+De/nNxGh5ih2LzFqAURndKEUZ3FGcf+IPZEVuMkkC0FByuxm2uJ/5IHuzLojk4Nmy4HCBXcY/6Lw5XbGZJyFYNSxtLd1J+Vhb+wovDngHYE87zddg8Fu2vfhlR6FSNeGULm4Nb++zfC825ReSQccUN0ckk0MsmvfzROGhGUGVgrj9L5vAcpN0tcdbkRoyHaB4sMYm03Ztn+FaL9G1B3R1D3QdD0R6kdApaXQFAiai5BFk8je2tLM27b5eL12WYWLfOR+rVXGhg6KLKi+eHw/zJ5V8Ph+hNH8Z/otUNIiJtOevzTuJ1/YBcDF6xvaFd05N2zl4oRYxt2TGk4btPI2+E9zf6SJ8ip+BSXtxCd4CFRNxCFMoPdG95n/N0p3Dy94cM9mg7z4aoLhhpr/3qfhjxuWlvG3tsal1xth8xx69qa7XokTOCCpJs4WrmKDUWfYfEWNhjLZ48nasnkyAYfWSpVAuNf6kGvMa0Ab8Shgi7JzsrC79hcuoThqddT4c5HK3jwyL7F1Pqp/OAj77rEnbetEMnru6YNSTrGzB5GatfEoNdsNF53WAYUBOELYAxQJMvyeRGPXIXqmzGc1x0NcUPomiR2u8Ty1Q5SkhQM6h95fWtZllmz5leGX/YiPXv9i7Vr13L1qPA3YiAIv1hQvFIGeV5orUJ6MhF53G5kz25k++fUKlMCGtPzCMo0ZO9Rjh3+loemv8OipaU1Yxn0Ai8/kxjwOE3B/z/I+y8cxX+hUrVHkkrRCZAc/yol1vk4PQ0TQhraFRl5t85UEalX6xu3aeRt89TGGLeKvZqMmLF8+9kEjrvfoNy1K+h4EenUEXjd1WPVHUeWZQ5uqeTOVzsyeFxq1ViegE0ZdpTORZI99Ei8gXYxg9lZ9gPbS7/FK7sabBut3n1kYwm6WBWT3ulNh361yXRahSdkR5365G31mvktv7b717CUEfRNHMGCvDlkWxteO3W97lObfPVPEjuYGPPOMOIyqtovClLYjjrhEMneXwGXN+kohL8Zo73ZQxHN8rUO7A6ZMZdHllgB4HBI3PlACdff9BF79+7lhx9+YMiQixg9IvpFTOEXC4rpxQi5XgQZhFyv7/+/1F3Zrz5fGbFkDGLFf3A5S+nU/Rm+mHuQq666qmbLJ6aZaNOq5V6K/imaN4R+uAc9ZhjNG8Dr9S0qqZRtMOivoH3aYlonvIRCMEVoV/PHefvGDa93Q2jNe1/x4+wtmk5CQhKDW8+ld8qzDfTuQDaGty06vbuy1MPNz7avIeyacQLEeHtlJ9tKv+T7E5M4Yf2Tvsk386+0e8LYE17vFu0uKgud3P3NAD/CrkaktU0CodB5GkFQ8O+OT3Fz1n3EqgJfO1qll9ObCmjdJ43xX4yoIeya8cPEeIdD2DtEluV1QFQhEMH6KkRC3NGQdzDiXlgTNRK5l7xnv5tW6Uq8njLGjx+P2Wxm5YrVJGZcD0RZheuVMgSH/yQIDtnneQeCXI7smI/KehO71l/J7t3bOXnSJ6907aLn/n+HvgED4aeFNhwOCa838oXLliJvTyR9y+qgZeK8ff07vWIup88MptL6BXHGm+mcsQ6TYXyEdkWfpNPABlfDuYh0sRIIQtwyZ2yL2ZQ7lhzz52TEXEkb45CQ43hcUlS1TcJBLYgkpyg5b1Dwa7U+eXtcEjZvMasLXuK3Uw+ys/Qb1IJIgjoJg7JheGCtPcHnylrq5t65fWjTObSzVZe8va6Gc1B/sRLgqHUX72Y/xKoz8+keN4DHzn2bnvEXNdjXnGslo0cS1304GG1sqDWCWvL2OiN/2222VUBBEP4tCMI2QRC2lZfJQV9ZnbLUrF63S/Y2IO9nHovnlWcSGDowcmmkfx8d/S7UUVEpU1x0jAEDBlBcuAOl6TVQBc6aCoq8ID9AsL9XYdlqO4NGLmLEiCvITMtGEARWLf+BuLQ3IUSn8UD4foGVW6eWcG7/XL6cZwm/Qx00d6blAw+bmXx7GcUl0SURNIa4ITBxH9jvYehFxSz6zYEsWyiteJq8osvweHNINU1Hr4g8wqgpXvfjdxfx1NQiLBUNx2iq1y3Kdo6Uz2RT3pXkWxegEzy00l+IRukvre3bYuWuiw+zZWVljY3hEInXHfFYCg+yLDP79j188eghXHaRAscurF5fxMegtGnc2P5zOsYODWFP4AddcqYBU1VzhUgeSifW5fHu6FUc2xgk/r0ecXtlD6uLfuCd7Gnk2o9g9xSirWeHNlbNFS/2Q6lWho0yAVCKXhbeuTzkNnXRbKQty/Insiz3kWW5T1rauWg1/fDIwfXGlvS622epefAeU1QND4pLRe5/rARBgB+/SuX8rnZcZTfiKp0EXt8Kt2C4DUEzmLCed+sgpBfs78D8BRauvqUAp0vmo5kpfP1BGtddaSQ14TAK/Ti0Ce8BkRcDP3DYw+9L7eQXiHz3s5V3Pq4gN8xDoy6ay+veu8/Nz784OHDA06hmyk3xuqshyzIvv2AOBirmAAAgAElEQVShqEiqaRIB4PbsJ7/4KvKLxyHLDvSCGoO2oecU2K7ove6Na+xsWuvg1HEPhiC1zpvudYPdkwPIKAQt56W+wcVtfqnJrBS9Mh//t4CyQq9fydzm9rrDjbXjtwKObq+kLN+JRu8/F1uKP8biKeCK1s9yWasn0SqCl3KNZK6C2eJ2iPz+8gEqC53odcHfBgN53aXuAr468Tyn7L5mvqPTr+XChH8BoDdpG0SqhCLuvT9kU3IocjGjhdITFbROXUhKwjsoFSn/U687EsiyzAOPl1JUIvHg3XEM6q/jy/eTyUhTILk34JF9Cy4Kw80oE79CmbIWRezjoDo/4HjSk4nIev8fTdYLSE8GXkx8/4sKJk8tQqGA+Z+kccdNcRgMCj59KwXZ9iGi5TUUustR6EKnNFfDZpc4cbJ2HtZvdnEq10vrVtF569B0r/u/r1YAMOPROGK00R+/Gk2RS9ascrFpg5vze6gYe1X9ty8JUfRV2IuLvZN2qT+RFDslCrsiI26PW2b2C74bc9oziWHXWppK3OBrSry94Fac3gL6ps+iW+IjLJtv5uRhJ30ujqXv8IZ1sc+G122r9PL96ydRKOGWZ9s1IDiz+yQLT03l75Iv6BB7MRPafUS8pm0IexoX2/3np8coz3NwwZWtad8nsdFatwIl7YzduDFzKhPb3oNaCCyJBPK6rUV2Nn+0B2UU90aLkLbLk01x5TsYDWNQKVsBhPW6Q5F3Y7zuaMh7/i82Fv5hp1sXNc885tPk0lPrk5UbZ/EI3OUPInuyEQy3oEpegGC4s+p7JdXTKY+LRZqZgtxGhSyA3Ebl+/84/wJAsizz/Mwypj1VgtEgsGheBteMrvUqDFWhhrJ7p+8Pkj2i8zlw2P/im3R9DK//N7HRqfzREndpme/iXr/Ryao1Lrp3VXPdNT6N8WwvUno8Mq++6JOHnnqmYa3xuqi0fI7V/itp8U/RNnEmkb7ZRELcP8y1cvK4l0tG6RkwMLI6OM2xSGnzHGNr/o2cqpxHx/hbuP5fX2KM1XHnfzKCjhf5ImrjiHvB7NNUlnq4ZFI6bc81BixEJSGyo3QOv526H4u3EE+QDFB/eyJvf1Z8wsq6L46ji1Nx+SNdaraJpgFDXVs/P/4sq87Mp1fCUB7s/ALJmuDzW5e417+5A4/NS987uoc8bl2EvQsEQfgO2AR0EQQhVxCEO8IPK1Fc8RpH8vvh8uwGICHuEQy6y/9x5J2b7+Xhp0pRqeDT2cnodKGmxI3o/A1X+e04C/viNk9Hdvm0KEF7McrUHSgSvkYR+yRMnIS4cwRifhfEv7MaELYkyTz4VAkvvFlOcqKCFT+14uLB9RdPqmyRypBlB7KYE9F5HzhUezNdPdrABzOTmpSUA9ER91vvWFi11slzL/u87Gee9CfLs0nc386zc+yYyBVXaOnbPzRZyjgpKruX8so3iTXeSFbyp0SayhBKLikrEflkdgUaLUyb4XMKmruDDgT3umU8HC59kbc/msruXfsYO8lY1WA4OJpbLqnGqYM2Vs07Q1yymmseqPWeg1URLHIeYNHpabglKzqFkm6m0WHsCT9XKrz8/tIBRI/MyAfPITbZfy7CETc09LplJFYX/cCcEy8Sp07ivk7PoQmxTqJVen0NhleeIj4rjgtujryDTdgrUpblGyMerR5EqQwRBYKgw6gfQ0LcdByuTZSa/4u7iswDLRo1dzZlsNhuWZaZ8kgJFZUyTz8azwU9okh3lysRHT/XhNkLYiEqxwKUmp5guAmF4HsN9xYPAzEXQTsCQTsYWSzC6z7D7I9OkH2qjKw261j8XTpdzj0fQdkBFPEIqnMQNL0BJWLpGBCP4yq9AVk8HZFp+w/5LrpLh+r48r0UVGe5xdrOPW6+/NqGwykzcICGEcMjXxCOBDpBEVE8d0WFxNtvWVGr4ckZsaiF0DHd1SivnIlXLCLRNINYdTssnqNNsvfDNyuwVsrccX8crdrWXoP145xDIVySSTU09Wp3VyN7j4NHpnxAUpqKz1d0IFHTGqcEdm/w5guR2hhpQo4kyXz93xPIEkx4LAtDbEP60SkCx3UDdI4bwdD0R8jQd2H1mVkBa5j47Ak9V7uXFnJ0Uymtu5vod13gAk7haneDj7jrZlOCL8Lk/SPTSdNlIshWgr2teZxe1r3my7Ie9mRflJrI5ZEWCf6V8CUjVHsesuzk6JmRJBgnkmqaTpu0pVjtv1Ja8QIeMT8ocUP4pBxoPHl/OtfCyj+dXNhLw6P3RxavGwyyZxcez66q8kRKBFV7FKquiN7TgIRG1RlBdwUKRSJK4LGnfJ+cHe1o00qFwnAzCsMNvrEkK7JnD6J7G1656rEQQSJINQ4ccnNRXy3ffZ6KVnt2CVsUZfbs9eCoqpR04JCHEWOL+OrjJNrUWYhVo2hSjfVQxJ2T46VdOxXvvWujrEzmjjsNtGvvO3akxG2xzcXmWIwklRKNiqgTRL9EnMP73Sz4zkZqupLbpjSsjx0NcUeK+sQtSTLvPVeILMO/Z6SiNyrpkToLtSKOdXk3BS0+FY2NkRD3+l9LOLLDwjkXxjLwquA1eIIR96GKxcSo0rgw+RZUCh3L8l8hWBejYMTttHr5/dXDCAKMf+bcBg2G6yOShJz6xG32FGP2+ApW9Uu4CAkN28r/9Ntm6+cHqci10W1MFh0HJBEg6jAoWrROqlNW1rmARcptX3OkYBDFFbPQa4eAXJ3FJDR5sTJa2eTgcSczni9HpxP4bHZyM3ujIrL3KKLzd6qTaNzWd8k/1IshA020a9eOW24eSNGJ8aRlCHhkEbf1fZzFl+EoHICzsBeuspvwWt9u1NFVaoGf56Y2Iv2+6ThyzIvNXvtjiiK8/mKCH2G3NKbca+bPtS6+/MKGySTw4IPBow9CwUfYSlJjb0etDOyRBUKtsyIz879mZBnuf9yEvom/R6QyCfhLJSt/qeDQLic9BxgYOjoWkNlf/CRqRTx9015HiMB3a6pUYqv08t1rp1Eo4eZn24ddXwkklQBsK/2CLcWf0DnuUgYk3x7GnoZjLH//GJXFLgZMaEPb800Ry1ShEGyBEqBH/GCua3s33eJ61/yt9EQlW788jDZWzdCHe0Z9vBa5q+V6IXF1yVuSrRRXvkF2fl9sou9plJ78HcnxryErss4KeYuizL3TyrA7ZJ55Io52nVqe3PIKvIwcd4b1myrplFXIzGfziNXtqPleFnORvdkgFRKuqFEoeL0yn8xKJt7UvN5bpNi1u/bGjY0VWPBdCr17nb0GFOZyiX17vdwyuRy3Gx58KIb4BP/fN1z2ZF0oFckkxj1Bq/j/RLzPyRwvOkFk1R8Odmxxcf4FGi6/OniyRzTEEQ1xA9gqRT57rRiFEqY8k1pDlr6WZ8+QoOvDuYn3RTVmaPsCE/dPs3KpLPMy8uY0OnRtmly2q2weB8wLOS9hDPoQSTg+e2rnK/+QhQ3fnMKYqObyB2s7HkXSKSccghH396feosBxnJuzptFW3xFZlln18g4kr8SQB3tgSPTNRbhY7rpoMbbyyMoGr1R1yVvGV2PAJetwenOINU6gbfoGUhM/QFB1axbyDkbg735kYes2N4Mv0nL3HTFVdngbHTIYDkePe7jkqgIOHPYwfqyBn+akEWNsmalXqQRSk/83hA2wc4/vAo+NFfjl22QuvODsdgzaudN3fKnqp3/jNStTp5ijzsqshigVUmn7BoP+0ohKvAK8+0YlyxY5mPWyr3jS9Ofim7wQHC1kWUYjiMydXYK5VGTspATan+tPlmdsi8iz/EwH0yR0yrSwYzbWK805YGPFvCJMyWrGP9A64rGCedsA6wtn83POv/FKkUWVSJLMLy8cRBJlxjzaBYMp8pwHiIy4A8EtOZlz4iVs3komZk7h2PJCTv9dRMb5ifQY16FRY7ZQPe3aCzQ8ebs5Uz6DI/kDKLV8hEF3KW3SVmHQjaqJNAl0v1WTd7Te9/6DHl6ZWUlsjMD7swKX0WxOAt+5x8UlVxVwKlfkrlti+eqDlLOuMzcHIp2LnbvdxMYI/DwvmT5R1TFvHuzY7u/p9e2nZuabJtTRuNf14HRtQhC06DSB4/LrQpZltm91M/2+cgpyRcZca+C8XuHnoTm97UqzyPefmDmR7WLh3HJMiUomTwusIR83f8DpynlIAQo1NRZ1vW1JkvnqvyeRJZj4RNuAi48hxwpCljIiVu8ZQCDTEP532bYgn5M7zbS/MJ4Lr2wYjhfJ/Dc2jtsuVvJL7vuk6Npgys5EUAhc+tSFCI18kLcIaQsIOGW130JAOPL2SkUUVbxMdn4/Cs0v4nCtAcCgG0WscRJe9E32vm1ukbsfKMXthpf/G09mm/AXUF0Cj5bE1210cPm1ZygulXjyIROzXg6fVPFPQzTn7fXKnDzl5edvk+l7YWiiaqlGz9t31KmjfKmWzz5PQK9v2pyLVd6cUhG+0mLeaZGiQqnG01+9xMHdNxRhqTh7ja33bHXwxdulvDK9EEmE2x9NITaIXOb05pNd9joKuTiisSN9uOxYXU5Jvou/FpRwZIeVLn1iGXSlfwGn5tCTeybewOi2bwbMmpSriiDZyj388WY2CpXAuGe6BtXTW1LfPmbdw/WPXMHcz7+h98TOpJ4bWtYJhZbxtGVfKUmFYIiavCW5klLLhzgkF05ZQYxhLCkJb5CZvo3EuBnIijZhyTsYgc98y8L+A15GXqrl+gm6RnfQiYTIf1ti46qbCrFYZWY+n8jTjyY0rU/lWUZjHlJ5+SJff5YUlrBbCqIos6tKHrlilJaPP4lHp2v6nKuU6UiSDadnX9htd/zt7+mnZSh5YVYisaaztyi8a4sDt0sme68LnUFA9Moc3Bm82YZKYSJZPxSl0Dz12gF2ry7j0xknmP+6b/Hx1ueyWuT6L7DvQimoaBfTsPzAmjm5OCxefnv7GDazhyGTs0jvHLzDfUvAZfNdj3l7yvjx7aXEpuoYfG/4N4NQaLGFSI0iiQFt1tEp6WV0qsyoybsap0qnklM0DqdrE6bYKWRm/E2i6ZmQ0olvLH8C37bdzTvvW0lMUPDmG/E1F1A4/TsS1CfxL+ZXMPGuYkQRvngvmSl3NkwX/ieiqbJQVqaKfn3Ce9jN4WUHejAfPeLFapW5+mod738QH7T2TLTyts2xmJz8c/CK+WG33b61lrS7dFfz6Q+ppKaf3Vasu7fUErTTLrPw63JSQ5T2TTVcwgXpH6FThde1I8W+zRb2baikssxL135xuB0StormXy8qch7CJVpI1zcs6vb3b2f4/MF9bPyxgPh0LSPubZyGXBfRatvLX9lNRb6dpS/uAhm+/O0Dppz/VJNsaLHHv1NWkWtdTLpxLP1aL6Nz8kwM6o5Bybsugdcnb7trCydL/82RggEUVbyB07XVZ7wiiaT4lxFUPUPeiOV2kfumlSNJ8PorJtJSA78q1iXwxhLLOx9auO/hcrQagXlfJHHNNbomSSwthUjfGJoTzSWJBHuT2r7dw/UT9Lw929RsIZx67cWAELZBbzWqPe3efTV8PD+VhKSzuyhsqRQ5eqBWn+56gY4352eRlBZ84S1O2x2vZMPmOdUsNpTkuzlzsvbhtX9TJT/NzkXZIkleMjIScr14bVu5h7xDVg5v8nUqOqd/Ajk7zbgdTZdAIoUkymSvPcOcyX9SeLiCjkPSOKfLOSSoU5o0bou4ADJgEyvYV/oKR8yf0sE0mXZx15FhHM1fpy9Gls74EXf1wko1cVdrS3WJWyeIeMV8SipnVf1FQYKmJ7HGGzDF3IbbcxSb4zes9t/weA/7hXW98rKF48dFrr5ax8gx2ogSd6AhyYRK4pFlmWdfquDdD62YTALz5yQzoG9gr7MxBBkujfyf8jCoj+bWrkOtXZzTRcUNN+pDRmpE6mULQgzJ8S8Ta7yO/LKHcdq+D7tPeZnI8aNeBg3V8trHyej1kftE0STYhMr22/u3o6aefd8hBv7zYZuQ8eEqIYYUw3AqXLugmX6rfVusfv+/aEwi97zWAZWm+X1ElaBHrTDgkfzln+yt5X51/bcuPEN8WyPnDGrYGKGlcOZAOS6LB5elyjuXIfdQEe0ujLzOSCC0UEZklfQgK/F4yzlY9hbHzF+QrL8Il1gMKOmc+Cguz3GKbAtrvJhg5A21BF63vkO5Yy0Veb2JM4whwXAl8bEPkhD3MCfze+KRihAEPev/MvPVl3bS0hQ8/6K/TFGXACKpaRGIgNQo8HplHnq8nG/m20lPU/DTvBS6d40upCgc/qmkHAgtscgYSdp6nz7BwwujkUS0mt6kJr6PStmW4oo3Mdt+jGi/ndvcjLhCx/Ozk9FEESHUnBmR1dLIxaNjmPFWOrI69HXdJWkGWmUKfxc+EtH4kdi6b3MtaV82OY1JT2W2WMijV3aw+PTDWLz+NeOzN9X2AhUUMOHZLlx4XVaL2BAMJzb7L+7m7yvngm59yHM0rSxCC3Zj991AOsHtI2/Rgtu2hOqeJom6/sSZbqd9wnTyrb9QaPkWp/dU1T7+5A3BvW9JrsRs+xaz7VuUihQM2n6Ikq+geVLcxwzsl8Wbby6ie4/1GE3b8cjukGnztWNH5hVYnCJ3Ty1nyVIn7dop+fG7JLIy/3dx0v8LtFQkCETXMzIQotWv42MfICHuMbxiPjlF43C4t0W8b2qakhffiy67NlrCDld/ZNcWB2MnxjHt+VRERbjbW4Fe1YYj5s8wu/ZGZUcwyLLMnk0+0r7+kTZceXdG0AXISM49WB0SAJWgxSu7KHDsaTDW4c0+0lZrFdz2VnfOH54cscQVCqFS2uvjxObaxgrxrQ08/u1tpMe1ZXPeqibZ0CKkHadpT2vjZZy0rsFZ9bdq8gZQCx7+zLuRJF1fOpquJzNuMu1Mt7Ov+HFKbQtCSie+/QMTuCgVY3Esplqqn/vNAjpkjeG++6ag0TyMJNmotH5BWeXLdcYKfA6ByKI+kVssEpNvK2PDJjfdu6n4/tskUlN8NgUisjNnRHbscjN2pOGsJ1s0F1qSoKvRVKKGaMhaQ4xhLA7XZkQxD6d7O6WWDyipfB9Jjq7jT6ce0UVfNDdh2ywiAy42cuuDiXhC3NpKwYhCUOORzOwuegCrGFmMdiT2Fp52U3bGzZ0vtePi61ODbtfUtwuVoGds27fJtW9jY/GXft+VFzgpPunAYFJx94c96HCBKaJiW83xxlNdh8Rt95K321c/Pb1rPNe/dxHKFA97zBvYXr6uScdoEdIWUDA043kWn76LEuf+qr/6e94Apc6/KXX+jVaZQmbsOEodm3DLSpL1w0jW96bQuhCbJ7tm3EjkE992IquXO7h/yoe0zfyEBcszSUkcTIxuOFJVwXtB0NM69Q+cru043VtwurbiFU+GTHGuSyYlJSKTby5n314vFw3Q8PWXicTF+ZO6KMrs2Olh1WonK1a5yD7i4cfvkhAVMmKQQjf10ZQyppHibBBxKDQHSVcjErIWhBj02iEYdJdg1F+GUplMacVLFFZ+gNO5CZybojpmuE7tge1sHg27LnQGBbdNSwpY5c8HgTTjZXRKmIbdc5pNZ6bgFG0RjR2pvft3upj2Xmf6jAgehxzpWMG87BhVKsMz/kOy7hy2ln7T4PvDm8tJyNAy5dOepHc0NhthR+Nl5+4sRfRIdBiYynVvDcZg1GH2FDP35DsRjxEMLULapa4cFpx6mCJHNqBmcOrdgIJD5h9xirl1tvStMHu8ZRwxf1z1NzVx2m60jruVtqa7sLgOUmRbSJFtEU7R97oRyvsGKCiBZ5+oQBDgpTfj0RtcWJ2rsDqrX0sUqBXJeLynMBpGExdzEwBesZCS8unYnSvxPWRk1AGyz06f9jJpYjknTohcOkLLBx/Eo9H7k0/BSYmJN5dy7HitXe+/E8+A/tHFMP+vCbW50ZwEDZF61AJKRTKiVAyoyMrYjkIRhyRVYneuodT6HTbX+qiP3dJk7TtG5EQhKlSIAedDIMVwCR3jpxKrPRer+yjZ5s8jGjO6h4uGviMT0YSoSd9Uwu5iGsVFKVNRCApWFrxCjrXhA9Za6ubh7y4kPk17Vgm7brW/E1uKOP/KTG544VImd3oSq7ecz07MDDtGJGih6BGBY7b96ATfSSgFE51Nl9Et/npO2zaQXbGAYsemBrp3NQ6Uf8rRip9oFXMZmTGj6Zj4BKnGq9mcf42v7CQmJLm2i4tO8Pjtv/BnK2UlEpPvjqV7P4OfllW9kOkR8zhZchsgoFV3waDph0HbtyYW16gfSUriu7jd+3B5duN2H8DtOcC+/bu4ZWIZhYUS116n4/U3AoeXZWQpGDhYw7HjvoWhBx40MnacLuLIlf/LqE/MJSUicXGKqHp2BkMkJK1UJKPR9ECrPg+tugc67UV4xFNs2DyC9h3gjPk53N4c7K7tQHQLvE0l6tyTHpLTlCGbbURD1EAIz9qHtnE3cW7SU9g8OewofILTliWcPuIgq0vowk0RE2ydkqzREHb+MQfJbbRotLX7hNKwY1RpDE6dRpHzACsLZlLpKQi43fDbMlEohYjm0ekRKD5uIf2c4Ek30RI2QOvzkhh/7XjGtr4TjULHisIFIfcvOVoR9hjVEGS5GdT5eujcM1P+9/zeCPgISyd4MKqSOS/+Ss6LH41elcCesq/YWfoJ4O8l161bUP13ozoLrTIJu2sLCkHL0Mz1WNyHKbOvoMS+Aqf3dJ39fZ2e1y6zM3CYHq1OETI9NVi3Ea26OybDNRi1vdGqu6OoSpPt0aM9e/fm8M5747lp0mA83mzfx3MMleD0G+PAAQ8z37Ci0wm8976p0Tp2Ywn+40+tLFvuRJRg5AgdU+9pXIlSaJqHfP9UM+vWufjhx0S6nBs5IYUjaEEwolGfg0bVBZUqi/LK1wBITfyIGMNVvjG8OdhcW9i9ZyXDBn7GXVNjmPZ4dMlOzeVRS5LMrWMKKC8TmbOoFYn1Cns1B1krBSOpxktJN46iwPo7Z2yLUCniiNdfQp51CTIiaxeW89bDudz2ZDrX3NkwZrgxZB0KgcZzuyRmXLELQYDnF/ZEH6NsQNgCStrFDKa14QLWF/lCfU2aLpS4jhGsjnatbZF52Bvn5bD41YNc9XR3+l3fsPxuOMKuT9YASZoMJmQ+RGtDJ844cvj65DsUuoI3m6g0S8wbvwh7qXO7LMt9wtndIp62SZ3KlM5fsbX0D/aYF2ERzTg9FfxZ/DV/l8ylfexAzK5snJKaDH1PeiVex9HKReTZN9db4fURuNmdi1o4CahRYeCYeS6tjBfTMfEJOiY+gcV9mONlr2B2bqz5sS66TFPT2r7+RRNMC4daEnd59lNUUa3HC+zZns6C79qyd28ODz0Ry6SbBxMfex9CVfy0LEt4vTmcLhwCSOi0A+l5QSyPzzhJ27aFiEJ5o9XpxhJmaisF6zf65vCmm/XNLk2EgtcrIwhgs8ksXeokJkZBh47+l1t4r1lAqUhBpcxAqWyNw7UGWXYQa7yJ+NhpqFVtaraUJAcVlg+xS1aKKj+ixDoHp/tAzWLijCdKAejZOzTRNIaga88n9L5rltjJPuCm72BdDWE3l1fdKuYaUgzDSdIPQanQ4vDk4qVKHhAdWK2LfPu7JL6eWYggQM+BtQ/xaGWQSBBqzOVfFVCS6+KiK5MRDDqcdS7NWHU6HWKG0S3+auI0GVS481AKCTilSkpcwcPlIp3LarusZS5WvncEhVKg4wD/+O1oyVqBgjh1EmZPMVZvBSDw3an32VH+V4PEH7/jiCq2frIde6kz6Db10SKkXezKJ9d+jIvTJpKh78j8Uy/X5F7aEdlfualKl1aiUSaTrOtGZswQXGIlp6x/ctyynFLn3/Uujir9W3aQbf6IbPNH6FWtSTdcTCvjMByiBbesJEk/iLZxk6hwbsTs2FS1kOmbtEBaOIQmcYDVv1t58qHtSOJ2nnvVxHUTjRRUvEFBxSy06o5oVZ3RqDuiVCRQnaAQHzMFg/4S0of5xpBkBy7XDgpKrgUg1jARhSIWr1iEKBUhiiWIUhGSVB5VvedQ+NdQDRqNrxHB0GFnrx6IR4b8MxLvzrLSo5calwsmTtKBqrrZhRqVMg2tMgWlIhmlIgWlMhWL/UdEMQ+D7gqS419AqUxFEGpvntzC4bg9BxHFYmyuLbit3+D0HMbtPYLbe5LquXfW6/Kzf4+bjetcdO6iYugl/vPQkiRdF16vzCdv+sLQbn8kJSqy9idqAaO6Ewm6PqgUMeRUfApAZtzNqJUJnLT8QL51GeWuwJ2Ofv+qlOJ8D8PHxdO2a0zEUTbNQdTVMBe5+f3DPDR6BVc+3BHwdTSXEMkyDuTyNq8AUGDfw/qiDzlh3Ri0tZjPtujIuhorZh/BWell2L87kpRpBKIn63RdOy5IGEbP+CHYRQvvZE+jUvTw9pEZIcdxiT7qLTliZs/32egTtDjKI4viaRHSdkke3jv6Fq31KagUKjySknh1KjdmPcXu8j/YX7EWi2RFLYjsq9zAMcs62hp70yVuOO1jL6G1cSA/nbgKGQmjKh23mB+YwD1ncFR+w4nK6hVkNZJgwqBuR4phmG9LsZQyx1aOls7AKfuvlAcjcagl8h/mWHj9WTMqNbz6fhKXjKrVyHWCB5fnEC7PIahJyPI9nU6XPYhalYla2armI8m1WVtxMZPRavy7VjhcmykovgaPDGlJc1EqTIhSGZJUgSRV4HTvwubwaWMG3aW+9F3ZgSw7kWUnolhaE6OuEExojW4GDTFit3swxCmijln2nYsKQVAhoEHGhSw7AA0adUcEtAiCHkGhRyHocbn34hVPoVS2JiPtVkZcoiM5OYFVqxI4v0cK+w8+R9t2GzDoh5CRPK/B0VzuXTjEPESpEKtrI17xDB6xAI83H6+Yj8uTg4wCp2MlOFZGfBafvu+LG75lShxuQRXuzTogGhsOVk0oS36p4ORxL4NHGunaK7SWHOVWFQoAACAASURBVMibTjOOIiNmLPHaC1Arfa3xrO6jHDJ/BcDGgntwS+UN9quLyjIvP35QhEYrcMNDrSKwvfmIGmr16h/ePo5GaWDaK1cy6vwraRczmP3mBewp/4ECxx7WF37AceuGoJq1z7bGEXU18vZXsO3n08Slabnoji64pNBUWJ+su8X155K0CaTr2+GVPBy2bGdr2V+4QthVTdTVkGWZda/9jSzKXPRAL1b/d0tE59QipN1an8mEtneyonAJZY48tEo1gpCCR/IyMmMKw9Pu4rBlKwcqVnDcuh0HbrKtu8m27saomEWCpi0OSQmoGN/mI5SCilzbRnJtG6oWMOsezb+qWoFtBQW2FeiUaSTr+5Os749J0xGH5ASUdEl8ilhNF6zuPVhce7G49zbQxAHckoLPZ1fw2SwzBqPA65+m0megnrpdZUJ5aTqpHNFdjpPd9b7xkfqxwlEohDhUyhRUyjRUiiQk2YpT9n3vFgvRCXpUyrYo1OehVJhQKlNqSDsl8T2UCv++lpW2bykp92W2ZbXajyAoWV3FbbIsUWH9lLKK5xAEPVkZ+6hlL59rb7a8h9nyNkpFCpkZuxDqaeml5uepsH6IStWaNmmrG5xzcfnjWGy+h03rNrczapSZsrIyysvL2bTxBPkldlLbKRFdB5HKHkIUS/FKJYhiCV6xGBk3oMDp2kWFa1rQuQ2EYL/FiaMeVi510jpTyYgxwbvHVKMpsbrBiMTtkvhqVhmCALc/7P8aXk3QKkUssZpzMao7EaPpVPVvR9afHoko24lRd0Svaku+bQVlzp2UOXf4NeUNRth1z+fb9wqwWyXG3ZtGUkZDQo6UpOuPGwrVRK1RxABWTu238NajC+nzfR+USiVeyUWefTslrtyqJDwHu8p/CjxWE4m6GpIks/Clg8gyjHjkPDSGwDRYTdSxqgS6x/WgY8z5rCn6kTJ3ISqFBrfk5ufcz9ht3oRdtAYcAxqSdTWyl+SQv7OYtB7JdBrd6X9L2haPjb6JA/m7fBeFrgKUUhw5tnxeO/Qs7WPa0CdhKBcmDKJLbD/eOnwbVtGCSaXFKVmxSSI25ylAh14Q2VD0CR1iB5AZM5TOpjGIkpsdpR9ywFxdC6L+hVYdRliCxbKYXOtvVX/3/eA27//X3nmH2VWV+/+zdjt9WibT0klCeigJLVSDSERAaRcsKAIiF1Ev/BREvSpeG6JeG1JUUIoUqYqS0EIktPTeJ5lez8zpZZ9d1u+PfTKTYRISuMSInO/z7OfMmfesvd+19trf/a73fddaUcp8sxhVdimK8MrG82tY3vlxDOHg852IafXyk2+t4LE/xCmvUrnlngaOPKI4aeYtOsT+3CzDIDP4ZZKC3ThM1Bm7cR+FPCJt6jkPRQQRIoAi/AgRwHLaB0i/O/5dhNBIJTWk1Kio0MkVVnpy6RJL3wtCsHuBBokkU1hLXioIN0c0+UskFlLagI2UFllzmSe3e2iNfg4p87jSRMosrsxh2Z24UiFf2MLj94zmy1cNEsnpZ/r5xV2VgMB2u0lkHtl/+xxoO+4Fi/6S5aT5fu69I4WU8OnPl6Fp4v88geLt+qABnn4wSXeHzYILq5k8fQpBfRwhfSIhfQK7Er8lb7dTFzqbadXfAsByU2QKO+jMvIQlIhRci42xO9kYu+Mtr/NWdetoMln0QJSyKo3zrqo5KAQNHkkbSphq/2Rq/TOoCUyn1j+dhNXGk81f4JEfNFL9yVfpcJajjG6mK7cRS+7bn3swUvbW/rWVtrUxxs0ZwYwFQ0ccexL1groLOCw8mxq/FzvJ2EnWxV+h0+xneex1lsde3/u19kHSeyKTsnnl56sRiuCkG459WxsiHCT3SIFrV32HlB1HV3ycM/ZjnDryVFb0v8arfS/z59YHeLrjfkYFxpOwsoDK+WO+TZlezZbk6+xIL6U9u5kcsD75MuuTLxMULvXBmYwPnUBXfhd5V6faN4UFo/6HrtwaunOr6c6tJmc3vUmboZb4jsTd7EjcjUCjzJhMhW8GbjHtqyBVplX/Ep9WxZ/uLLDrph0EKlrJihfpzngWrq5UYbn9A+fbcxeR/XWevWWxvFNSyhd27DPzBaA//TvvD+Edvck9pRbdif/ZZ1kps/Qmb30LeY5U7u9vqV8yMTgcGjVG5b9vHYGJ8o5cEweCN7f9CwtzPPVIhhWv5RkxUmXBBREsuf9Q8DshZQ8qitqAT63Br9XjV2vxafU0RZ/ivtue4swzP8gzf35uSImCE6Mr8zfiVg/tmaUkrM+TKuwk73Tv5fyDDff2c70N7r21GceG8780CiW875mbb+fcilJPpTGOCmMcIa2aZVEvG+y0uhuZEDkFgJjZTFPmDTqy61i+sJ8dK5P8yvkO1y04GpF9816y744lDfv2TZtpi+d/tgmhwIdvmkWZPop6/wTqA96xLbWKN/oWYkuLIytPoyWzhTf6F7M9vYHOXPM+g4r7I+o3970Vd60j25dnxkWHUz11/5tr7ImDQtojfVXccsTXuGLZt7GkYFnfZir1auZVn8ZpNWfQnmvn5d4XeCW6CAjgU21e7/8HR5QfwzFVZ3FC9UfJ2HGW9j7GqthjAGSBxswmGjObBoKYlpR05TZRHzyGiWVnApCz+3mu/cvECo1oIogps8ghG+XuJnFJ1NxG1NxWJFOdfNblss+fjW5N4vgTZ/GRC4+kKjIRJ9tc3NTBx6ljX8d2M+TsNkyrhZzdSl/2eRLmCkCgCP8Q3zW8te98f3irdMX/SxDtYKMv7nVu3YBbbq8+4E0A3q3Fk1p2Wmzf7LX7iBqV236S5NxPlDN6wjvbs1IIg4jvZHzaSHzqSHxqDT6tho7UU/RkFxHSJzNv9F+GlLHdDIv+/hqxqMPISV1s6b+NvN1Fxm4lXdhJwY0P/DbndJHLdQ0p/07IeW/YujLF8kUx6if4+cB/DKb4Hcj5FWFQpo8moB1Gc/oVXGyOqLyEo6s/g6EMuptMJ8XKvj+Qdx1W9T/K+vjTdOe2YLqe26CQd3jyVm9EecHXJ2NiHNAL/EDbYH8BRF0YVBkTWPNUC+moydxLJnLruU8Q1isAcKRDb74NBx1T6pi2ybc2XIG7lwDogVjSb2Ug9O+Is+Hhrfgr/cz+/Jz9+tPfjINC2j35OPfsXETSUjBUnXkj5rEmvp0/Nj3FnMrpfKDmeMaHprKoezE+xWZu+elsSmxkae9SynSNqZEjmV0+h6xjkrb9VOhhzhtzPa2ZNTRn19KZ244mLNryLbS1/wi/sKgwxtAQmE1DcBa9Zi+21Jk74lKOqLqEmLmd/sIOYuYO+s3txM217Nlj8hKsRJYffm4XW1dnmXzEWk7/0mrWJe6DgZx3HRUf66PfJ6SPI6I1ENAnUBk4mazdQ29+NQFtLCeNWYTlJCk4USynh4LbT0fyARLmcjSlggr/sVhOP5Ybw3JiWG6CN+++/nas939VxIvt9l//XcWkmfveKu7t4kCsMdeVtOwanDSzbWOBI48PMmnyJHSlHFWJoCkRNKWctNVOf/51QGHWyFvRlDJ0tRxdKUNXymlLPcyO2M/RRJCj6m4fOKfpRDHtHlQlQF7qWFY3a3u/Q87uImd384Mvr+SwWTYP/Lwb3RCc/gl7j1m/Ht7JvX07bg3wYjMP/MiL2Vz01XFITR+4FwoaAa2akFZDUKuhKbOGvJNgbOh45oy4jJBeQ1CtHIhtPLzr08QLzcQKzWyOP0Os0Eqs0ELMbCbrDLrCOnODO/zsvl8v3NNKf0eeOR+tp3bm8OVR3w1yDqgRgmoZfYV2LFdlfu3FTAhNp8qoo0wfgSIUXvnAK9xX8QQnXzOVl3r/RtZJ0Z5rojvfhi2Hzn52cf/PBD2o9+7UYMk/fuwFH+d8YQ6Rigg1vhrq/HX8gT/s9zxwkEi7xl/BRWPm47ga/+hdzbSyiZxZPw/TKfB633oebl3IluRWLOmjwl/DZ8ZfBUBLtom18VVsTCxnWb/XwX2qjqrUEVIrOK32MgBMJ0dLdiNLeu6m12zCkip5s4sus4tV8WcHLPHmzGpUJcRI/0TGheczpfxjFJwMD+48A4Cp5RcR0Kpo79nOL777As2bXWaeWMZ1t01GD6mk3KGTfSxZYHvCC5IMWsACgYpEx3VNNvf/Ap9ajV+tJqCNIGRMB6WKglQJ6dOYUfPrYe21uus/ieZeoto/m/EVX8Z2k9huauCzO/0EptOJodYS0ifhyCyOm/U+ZQ7LifFm4n8r7G9j2LeLvRFpPA7zzwlz1ieryMsD9depqMKPInwowo+qBJDSJWfvAqDSP49ytQZFCaCKAKoSxrS76Eo/QkGqTK/+HkFtLNIJsmG9j7KyMp5//nl+/8h/cvlNtRxd/yi6WjHkih3pvxRJ2yVkTMRx85hOglShhYIbpy+/qZjrnOfl9k9i2r3knSjyTTMpHZmjJfU44BHQuuXdPP+E13dO+WglpqOQzgp8b7HG9tsl5N3X2hta1sKIijrcdCWnHDWNa6+aQP2Z24hbLTQEj+L0+m8R1IYOy1Ot19OeXYkjC5huit70TtJWD/FCG7FCC/1mFy4qjellNKaX7aG3zu6Y0d6Q6Mnz4m93oQcUzvivqe/YvaEJnUpjBLGCNyI5uvIMDgvPocqopcqoxa+GiBV6+MmWqwGo1GtQhU5jejPRQjdP/HIhix58kROvnYVSFuKl3sGRkUfOb8/FsXe9h59DFSq1vmpM12TV06sweg1eem0JM46aQbVv8AV2Ldfu9/xwkGZEHn7EDPn4kkVsSrTxsy1PoSoul4ybx9jgSD5QeyRlepCfbvkjL/WuoEzXqPNXcGTFDI4dcQSTwxNRhMLtjbezNv4qITVMUNWIW/2M8AU5LDSdSeEZTApP476mH5Ky25ldfipHVZ5Bj7mdnvxOuvM76TNbUfcgXL+wCGsjiei1A5bAgoZvMCF8KmpxCUvXdWnPvMGLXV4GxsTIh5G45O0OsnY3Obt3wP89eN6hPvM3Y0/3hioChPSxGGolhlKJoZZjKBW0pf9G1m5lhH8u06u+WLQCI+hKBFUJ8kbHxSTNdTSEz2PGyB8Mu8ZrbeeStrYzOnIJk6qux3W9AKErC7iywKruqyg4vYwOn01d+HwkDlI6gIPEZXPvV3BllprQ2YwIzC/mxA72iy3RGwGX2vB5VPhPQOx2lCOQ2GyNekHTUWWfocJ/HAKV9mZJ3WgfUsmyrudLXr+oupEq/3EIoaMIA0UY5O1ulndeAsCcuj9SFTh2SN2S5kbe6PBy249r+DNlvplD5H2511jVdTkAs2t+jqFU0duXZPmSLhKJBL2pjcz66BJ0Q6EuOB+Jg+UksdxU8UjgvEUg7J1Yw6m4zWVzh+4neficMDf+fgr+0P7Pt+c1BQq6EsKnlmG5WfJODF0JclhkAT61HJ9Shk8tR1PK2Zz4K83pVxjpn8r54+4cdt4XO7/H9uRzlOtjmFV1CWkrStruIWNHSVtRElY7jhz+Qn+nvuamlf2Mn1PFo19fx6qn2vngFycz/+pJwFBSNpQAYa2ckFZBWKtka/INXFxmlp/M9LKTCWuVVBjVlOlVONLm2+svQeJyVv1nmRw5klihh95CL31mN32FLjYlVw3TrXFJB09+eSkjp1Ry0X1noqh7J+C3S8wKCuV6ORVGBaZj0pHvQBManx73WaqMSqqMSkb6qtEUjcebnuJTx3wCw9Z5Y9syuumnM9dDR76bzlw3tx7534duRmSZHmBypI4rl/6JjGtw1IhRfPHwj5Kwsizp3kCP2c+Snq1kHZ1zGk7m0+PPYk18Ky92L+POHY9weNkY1sW3kLF9nDLyZD4x9hP0mj3sSG1le3oLz3cv5MGWP+JTbcBPztXRFT9HV34EXfEmT9hugVs2fwpFpBkVmI6h+Og1m4lmt7LbKrjtuW9y77XrqKsaz/lXnsTZnzwBm/xAmtIRI64iog/dN68xuYil3TcDcPSIq7HcHAWnh5zTR86OkrW7KbiDUb+8HCR2SxbI73NGl0pXbjWtuy5j+4oUK15Kkk27/Od3xqL5AHTaMq8QK1yKpgTRlJBnbYoACbsPS+rECk20pp4qWqseKarCR96FgtRxUEEYKKgIRUGgIfAyKhypoqr1hIwZxeHwoHXspaUJDHU8Zb45xf96Wzy50hxIW1OVanzqKCQOY8Y7COFiuYWBhz7npMjYXbjSHnip5J3eAXlT8nG6sktxZA7HzeNIE9PpH5Av777Bu7cyi+PmimQrB+7nsu6vAvD0vVHuurmTiTMD3Hz/JNA9l0BrZsk+235/eDtW8LZNQ18CM46r4YbfzsEXEuSLboQJ4TMw1DCGEsFQwhhqGd251exMLUITQc4d90cMpQyfOrgmxoroPazs+wOKiHB8zVcAMJ00ppPCdBNowoclVfrMTn78m2+y4qVtdHR0kJNRZp/ro2G6n/rJIaKFDhZ3/WwfZLxvgn47LgwpJc/d0s6FX5rGRGMep39jNB++5lgi/goWd/8JkwTHVH2YM+ouw1CG5q3/aNMVpOwYAbWKSqOWtB1jS6qdfrOH/kIPFgaOdHii435gcJW/QVdG0RXhSrrWRRk5rYoXf7wGgFNumPsWC2vtWQeNsBamQq+gQq+g0qgkbadZHV8NwI1TbqTOX0eZXoZSdB+93Psqd+28GxvJpPBhpO00TZl2Xu9bTWe+h7/e8Ti5aJaG86bzrR0/G7iWfQAvij1xUCztOXPnyNv//gQ/37CEVfFd/OK4CzAUFb+mcUTlGIKaj558gutW/Y6wpnFm/RzmVU+nLuAN17Ymm7hh7f+iqRbjg7XMLp/G9PJJTI1MJqJHcKXLF1Z9AUmaaZGZBFWDjnwrMTPKqGA1DYEJVBkjWdrrpZV9atzXmFbuWXA5O0Wv2crmXav56PGfwcw4fPbmBcy5pBbTGWpJa8KgWq8kotcS1msIayNJWB3sSi0C4NKJTwwbYm6JP84bvT9BoHL22LsxnQR5J07BSVJwM3Rkl9GXX4aCTn3oBGw3Q39fgvWvdbNySRevPruLeF+WmjE+vvvodCJV3kO0P4u+hEFi/eN3m1j7jwTffng65SP2byXufrkJxMALt0yfgKpUoAoDVfGhCT8FN0VH1nMLTC2/gIBWjSZ8aEoAVfiJFxrZELufZ37fwVcveozx48dTVlaGrns6bEssYnGXN1K6fPIi9CJZ2a6J6abYEn+aFX33YEmNM+q/hummyTtJ8k4K00nRm99Of6EJEATUCkwnicvuteUH6yml5LunLCHdN9hnDptbyeW3H4Uv5BHaAQUh0YjoVQhRjl8J4lOD+JQQLdmNJKwoNb6xHFN1Fn41REgrJ6iWEdIqeKD5FjbsWEPigZHcd999A+dzpUPGTnLPrpvpzrcwKjibGeVzSVkJ0naclJ0gZcXpNttw5OAI9UD8yl6d3jSvYEeMhde9xKQF49nx52ZmnDOVadd5I7WpkanU+GoIaSHvUEMk7SRPtD+B7ar8YNZ3GBMcPeR8mxKb+eGWnwJwxYTP4KLQX4gTM+P0W3E6c9105nuGlEl0pMm0J/GPCPLCZ/6MHjH40IMfxyjz7n3BGbwPT5/y60NnaTtSMruqgT/Nv5TmVIxN8S7m1U3Cp2r05tOs629DCsm2RAoXi2OqTLrycZb2bkZTAFzStooh4bMTPkm1UcH29C7+3LaQlJVAIOgvSAzFx/zas5lV7u25ZjomXfkOdqS38mT7fUCAMr2C+5r+wJjQM9T5x1DnH0O5WY3VXI6ZcTjjhtl876u/oiEwCSld0nactB2lKbOWl3ruodWMMkmfSL/VT2uukYzdT84NAJLfbP84IUUQ1KoIaSMIaVWkrB5Sjh9dCRAvdBPUyqn0TcGnRDDUEDnHpCmzjpA2klPri2l1o+Ci2cDn4frrr+eO3/2S795/JpfNuQ/bzWPLPI7MY7sm62N/pC3zKhF9FEdUXVnMlS7gyAKutGhKP0ui0EhQq2V06JSiVWvjYiOlTXduJXmnH79aRaVvMq50izMrPVdJ3NyBLbP4lHKCeh1IWUxz8j5TViuuLGAoZfjVEQxuSuL9kSq04GLjV6sIqNUgFAQCgYIQgr78ZiQOYX00Ya0BIRQEalGu0pZZAkhG+GZSbkxAERqKUBHFrro18RAAY8OnU+GbgYKOIjRUoeNIkzd6f0Y66fLYiz/nsLpjijIDRejk7X6e6/Am7cxvuJWGwFxUZXBae19+G482fw6AD476DjWBqUP6dWd2HTvTnqV1ePmFlBkN2K6JLU1sN4/peqO0xo15Xq57mfVbVzLl1ABSz2G6GfqL8ReAh3Z9DsvNYrrpAZeER7zew/zXjn0t4+mRc95O4+XsK3sQsMBQ/MQ6s6T7Cvh8PubNm8fhc0dx5tUzCQbCGEqQHelNtOe2Ua5Xs6DuyiIZB4qfQZ7tuof1iX8wJjCVKybeMkyDB5tvJWq+hqFUMr18HjknQ8ZOEi1EacruJGUX2LU6zqrn1zJ//nx6e3vp7u6m7qQIH/zm0SiqgukESCa3szm5fS91FOympj2J2Kf4MV1vFFPvH0Wtv46gGiKohjDUMAoKj7V72WYXj7mYaWOmcduaAJWVleh363Slu/nKhq8jhOAj9ecws9zbwd12bdJ2hl2ZJmxXpeBqPNP5ErqiEy8k6C/E6S/EiVtJbOnp9asdD+7j/gzqW3BUulZ0suP+VdSMryfoDzDxquMIlVdzbNVMIlqIkBamTA8R0YI8zfB4195wUEhbQeDXNLb3R/lb01Z+vm4pFX4/vzr1HEYGQhxRNYafbniBZE6hyldOvW8kYS3E+WNOQBEKGdskqIa5ecNDvNC1njlVk5gSmcTJI48B4I2+9TzXvQZbVXg1upZlfRsJqDoVRhmjA7UE1UriVgBNcfjatK9T568javbQne9iy6at3PrT23nqqSc5439O4PiPHcPTHQ9TblRRqXt+syqjClf6SdveA7Sg/ktE9MFF3V3psCb2In/p+DWWtDi+5lNYrknWSaAoNQT0ifSaTTze5uVCVxljsNw8lpun4OZx8ZMp5PjTjitZ9miCHUtzhMNhIpEIy1cs4/Kfz8RoMNiSeB5d8RetOR+a4ifveBMYwlRQ7Z+JViQkTfHcIe25HaScdip8U5g78ivD7s3fWv8fvYUVVAeO4QMN3x0mf7L5GmL5jTSE5nNa/deGyR/ZdRmJwi5mRM7mpNovD5M/0HgxabuLSeXnc+zIzw2T/2H7OZhukmmV53HUiE8Nk/926+m42MwOf4SZlecPkTnSYkX/kwBU+09kYtn8gZeSIy1yTpy8q3Pu9RMJlocBnYJr48gEjrTI2FFSjndPd6SW0ZNvwZEFbLcwIN9NgC/3/AZN+LGliSNNbLeA6aZJuV75u3devY/1MPy0bErzoy3f5Oo/HENf0o8m9KLFrqOoY7GlRZvpLWDVEJhevMcGqtDRhEHC6qY9txmA40dciKEEUEQIQ/HjUwI0plezOv4CuvBx9aT/xVAC+JQAhurlXz/SfxewkMrKSl58cfjMVdO9l6ZMI7arUWnUk3dzpOwMPWYU083SaSZIO36ac3083HI7OTdL3sliOjlyTpaE1UfaDrA20cjaddfspQ2gdXWMZDLJ+vXrCQaDHP+puRx3xdF0mu3Ytk29v4ExwfEYig9DMfApfgwlxOPtj2NLm/k18zmp+iSCapCQFiKgBhAIrlxxJZarcMrID/OBmlMHrudKl7gV5+FWr3/ECinWNW6gbUsLsViMWCxGV3cXOya0M27B4dy+434kkriVw3T3HMV6o7VF3a8CoAkVhSB+xQAiZO00CgpzqqbhV334FcP7VANsTjaxJr6Ncj3Mt6ZfSZkeJDBLp+J75aiqyle+cQNLRrWhpQJcf8Kni33aJW1lSdpZDhQHx9J2PZfL2LIKJoSqqKWM586/HNt1qPJ7uZ3XTD2VOVUTaMnE+MiY2QAkC3k6cjEc1yVtOeRtjXt3ruBjo09CV3TWxXaRdnK0Zfup94+jK9fP5yd+YvC60iVqxvhLx3NkHQPN1dgQ306j1kpYCxHOhjj7yHOxLnRInZxi1Imj+fq0W/CrfkzHJGknSFlJVsRe4+XehUCA+TVn8UL3QjTFRRUqmqKjC4P2XBNpx4/taowNHk1YK8enDk5aeC36FxZ1taILg8sn/m5o+0ibl7v/xI9u+T6rHuzjuUUvkMvlyGazfP6rlxKuU1gff56/d/2OgFrGidUXYMsCjmsRNqYwWZ9IS3Y1v228HL8SYWzoSJwBi9qhwn8sLbk2fr3tQvxKhHKjDqQXPiw4MXxqPW3ZzTza/EVUdHTF01sIQX+hBxc/TZm1PN32zT2sZABB3OrDkiq70itI255vf9DBJknZKWypsi21lF6zpWjFu0WpQ9YpINFZF/87O9PLkFIihEBK6f1WhFAQvNT7J16JPo4qDDShD1j7qnoYQig83flL6PwlZXotQbUCIRQUVCr8x1ExTvJCjzcsr/NPoVyvRQgVVahMKjsbRxZYGVsIwMTIaVQZDShKkIhRxdzq6eScJK/3eVlC86ovodo3FlVoA0d/oYPnuu4AVM4b/XWqfWNR0FEVHRWNabf/g8XGbVDu54qJd1FhDI2LbE68xsOtPwLgojE3E9SGLhW7qn8xW1NexsxJIz+FKlQKrknBzWG6eTpyLViuSkYqtGSbMd2cdzieUbDweY+oy6bq/Hrzt7FUE9PJkbFdcnYGU5roopygVs69Tb9FUwwMRUdXDJozO0nZCaqNBqaXz8VQDMp0A13xjue7/07MgqmRWSyoOwdD2S3zyPenW39KR76DBTM+yo8f+fEwbrhh3Q105vqZGjmWi8deMERmOiZPdzxL3kmRd2zihQztdi9pJ0vWzpKxs+QdP450eaLtOZ7pfJmskyNlm0jpTfDNOh7prortYPOvX0V3Nc8gKosw4iMTiTdUkLVh/uj5VBgRfIqBX/WOtfFt3N/8R3wbXgAAEalJREFULAAPHf99QloATdljnf72JdzR+Di6UPnWjKuH1e2BpudY1tdIGpecY9GV62T7M8vpbe+mr6+PxYsXs7V7F/qPL+aTr/6IpJUha4Nf1QlqB76g20EhbV1V6EmlqYmEOXXsBDZ39vL8jkY+OPGwIb+bUz2a5V3tzH/yt5w6ajyfnXYMFXqIkf4w/73qb6RzPs4fN5uC49JlpagwyjjcP5p51dPxK0F+sPFxzl3yPX581GXkHQtX2miKiiLLwK0m4vNxZv1pA9dzy126e7ppro1SNm4yKuWsim1C4KIIFb/qI6gauNJP3ArgV/2cN/qTw+r3t84neTm6jLA2guumfJesk6Gv0IzpZLHcAhuTa9iSXI8la5hbeSJLehahCokiFFShEo8m+f2tT7HkgRaOnHsEppEmH7OoHlNB9egKNKEjxAjSth+/Ws0RleegCR1FDHagJ9p+Q1O2m3JjPOeO/uYwHR9t/QkbEi8zITSKi8Z+b5j8gabvsiG1kimRYzlvzDeGye/ZeRMr4uuZXX4q54+5fuD/uwn4zsbraYytYk7lhzir4fPDyt+2/QvsyK5jXvV5nFH76WHrmNy6+dPsyjXzgZpPcGrNxcPKf3/jRVgyxYK6Kzi++twhMildbt54HgDz6y7l6MozhsjzToYfbfZe5kdW/Qczy08aIk8U+ni1z/NNTy/7EFPKvOCqI+3iJItWnu/2ljKtNCZS659QlNm40gHi9FkRBIIeM0nB7RyQZbM5UmM7waxAVap4vW8JhuJD4uJKh5yTpT23i/5ChPGhSfyt4wkUIXCLL62o2UNrrgnTKeeYqhP5S/vDKEIpGgs6G5Ib2ZHeSpnWwAWjL8FFI6hWUa7raELn+e5n+PtjL7Dg8jP40+0PoReNDF3RUYTCHY138Eb/G0yNTOXGqcOXSvjF9l/Q2r+e8aEJXDTG6/uudDHdApZbYEnPcjJ2AtM1EMIgZVsUXK/fW65NwoJ4DHa9tIwfGj+kYtZIKmePxJE2ecehPWuRdw02Jlv4zQ4viChQUIWC6Zp0mSZgIGWE7nwCv2pQrlVS66ulJx8jZamAymVTP8nh4XH4VAO9mP21Jr6Nm9bdBsCXJnyWMY/dNKRur0c38o313o49R1fOIKj5yDsFck6BvFMgbUHO8txPz3WtQgKWa2O5NgXXZnu6naTpRxUKP970OI50caSLIgSKEGxNtpO3dVQZpDEVxTAllaFyxhw9inA4TE8hiXLiSYwfN4k7j72aoGoMBDG9dhg+st0bDgppW7ZDxChG26Xka6d5U1otZzC4ENZ9LGtvpS+R4/jKcXxx1okENR2/5jXa46dfRcYq8EjjGqRUOLx8JGqxgo7r8sdtq8iYBmeMPYFaXyV+VSegedecXXEYtqtz766X+M83buMH0z5FLp3Bdhz0igCnzz6DvlbPeptXffQw/Rd1rSBnlzExNJmCa2E6Xoe0iw91Y6qPWCHE2MBUCq6LoYQIqhFUoaIrGptSTbTkTI4on81/jL1s2Pk/9/XP8effP87F117MQ7/yfLRMG5Tf1fhLVsWXMy1yHNdMug5HOuTcfNEV4PJgy+/YltrIxPAJnN1wKd35TqR02e19Xtz9dzYmGxkdnMeJ1efSlm0unlkikKyOv8LObBejg8dzZOWZtGV3DdFvc3IVbfkEY0PzOLzsZNpzu9gzXr0tvY4eM8/40MmMDx9DZ66lKBGAZGtqLdGCzeGR+TQEZtCeaxoo60qXzalVxGw4suIsRvom0ZptLGoncVyLtYnXSTo680acTaUxjpbMjt2nJu9meTX6D/oKYc6qv4CINpqmjFdeSEjacZ7r/it9hTD/MeazhNU6WrNNIEERgs58O4+33UfKDvC5w66jTK+jO9+BQEERCo3pLdzffCeWDPH1af9DlTFiQKagsDa+krub/ggY/OyIOwhqoSFt94q7hJe6lwIGP55925CHEuD57udZFltMQCnj+infGdY3nul8huXxLVQbDXx83JVDZFJKso7C2ngTo/xjmF52BI50cKXrfeJSsML4Gyo59fpziFtppJRenk8xNtGeS5K1fYTVWrYmG/dYMkyAEKyPd5F1DCr1enalW70XhlBRFRVVKKzs78QlwJTwkYwPjiuOPj1jwnQK/GTrn+hZ28e1l1/BpZdeOkT/pJXm0bZXAJ2PNnyYOVVDYwZRM8GTbd4CayeMOJrxoTps6WC5TrGeKqmCZ5HmbJfWbLTY5736tWX6yVk6lquyrbWJlngjiq4SHFuNHvCxPdVD3taLfU2AVIhoISqNcgxFZUeql7ytoyC4cOwpw+7N/buW8kJnExHNzw3Tzx8mv2/nK6zuW0h5IMg5o+aSN/PkwhMoFArYuMy+4jzWtS0nV9DZlYriSll8Wb/VitvDcXAsbU3Fb3iNUxH0ht6mZePTNfKWRWsswbiqCuaNGce4sgrWdnXT2NfP0fUNOK6Lqngd/bWOFh7dspmmWJJLDp/FtBHeMFNVFB6b/3nytsWTzRvoN3M0BAej56lCnuZkhhFuHZeocwgHgvh0HakqoAhmBiI83b6Rv3es4Y5tz3P14R8cov+1ky8hmpdsT3awpHsdp9TMRhVa0VqC02vnszWVwnQi+BQ/IS2AKpSBzqtSiSPrCah7X/4yW8hyzLc+zAVXXLpX+a6MSa8Z4ay6uXieJgUF4bkAhGRntkB73s8H644hrHkr/e3polgZ76A9J5lfeyy1/jEDEo/3JIt7NtJjFjil+iTGBqcMSAVeIt9fO14jZhX4YM1pTAzNLMYYi3Lp8nDLC2Qdm4/Un87k8B5vG8CVkvuab8GRggtHn86k8KQhcsu1ikNQg8+M+wBjQ2N2q40Esk6Wx9peAYLMKj+VWn/NQO0kECvEeaFnDRBgVvmxlOtD629Kyep4GwohJkdmEVCCQ8qrIkVjRhJQR1IfmICh6J6g+FKwZYAeM0KlXk6ZVoWUovhQuThSkrBses0IowJ1gELeMYsuJIEQ0Gt6925K5LBhhA3Qnk2QtAKMjczY673fGO8mmg8zJXTYMJkQgjf6WoiaIU6uPpwyffgWWdsTfUz56pkcFpnKhNBYHOniSneAHJpSFtF8kIbAROoD9R5dyMFQc09ekCwEqfePH2jb3UFmF5e05cORLiOMkZiOhRA2wvX6Z94p0J8P0rGuj2kXDDeGTMchlvPcoz5l+IqLqUKeTJGUA2qIiD70N0mrMEDakyNjGOELF+vnkZ/pCOJ5j28mVY0mWOtHBA2EKpASRvvrSea8mERQDaAKFQnYrtdGISVMIutHFwo520IVAlUoA3wUECGyeQND3/vaLQnTJmfqWJpBoHhUhgZdX8FMG3lTxwiHmF7eULTU5UAdDhQHRNpCiAXAL/ASWn8npfzR/spICbZtoxQrXLBsVEXB0DR8QsPQNLJmgXgqz4cmTcLQVLb39hHP5Th8ZDXlAT8fHDeJxdt34bcMFKmQtSyC+u7oucW9m9bw69WvkbDzXD5jDjfMPYWAphMx/PxgzscAuOaaa1h91BpGnXwMIyJlVPgCdGaTPLRtKxDgtJqZw3TfmexlaUcP7dk0qfyr9OUdgppBQDUIagZh3SCZD/BK107i+b/y/SMvQN0jWf/j487k2Y4mnmzZiLCCXDP9rCHnf+CeB/j0a//L0+3b2Zl+DEPR0BQVvWipv9GbwCXIa9FmHOlHE2rx8DrQymgCR4bZkohTbbQXXxjegwOwNpYEgnTmLKJmquiWEShCIWubrImZQBkZW8d0HIQQAy+FqJlkY8IFynBlEIoWJni+5/ZclJasAEIYagRd2TOlTrA12Ux33nswQloFurJnfrNkY2IXUTM0INeKmxxIIZES1sdb6Mh6HT2olgHKgJUogVWxpgG5JoKYrueucaQ3IeiNvp10ZL3c2YIDppMtZsh4D/YrvduJ5oMEVR+9+RTOgMw7x+KubXRnw+R1PxsSLQNkt5v8nu3cQl8uCA48370GKQdljpQs7tlMVyaCYxf4XeOze5CKiy1dXo020pWNYNtxfrDxzwP/d4rW8rp4K9F8mCV2J/9vqoOuDE3N68oIYrkglrN34mjOKUTNMqLFVHFVKAMjVIDWtEvKDtCfd9AVDdt1cXCxXQdburSndByp0phKcFgogy29/1uuQ9626Ul7113a3Ura8gjPlg6265K0ciRzfoInz+Ghvi28ZvZiuc7AuROFHIms1zduXb+YCiOALV0KjssIX5ArJs8jlinWay+5y/G8SbJ4/Zxto/qH1i2WN8lkfUgpsQo2akWAgnSxLAdbOmyL95PNef1xe6IPBYHlOliuS8Fx+EdnM2ZOpwA83LiGguOVM22v/qui7eQzBn2Kw1defRrbdSm4NpbrULAljcl+zLQPa9jKo0X90xZWRiemO6iKgvoO97Lab562EEIFtgFnAG3AcuDjUspN+yozd+5cuWLFinek0LuBvr4+brzxRuLxOL29vTz11FNUVFTsv+C7jGeffZabbroJv9/PqFGjuO666zjhhBP+6XosXLiQuXPnUl1d/U+/dgkl/LORz+dJJBLU1tbu/8cHCW1tbSxatIjLL78cIQ5sGQchxAHlaR8I1R8L7JBS7pRSFoCHgI8ekBaHCJs2beK+++6jUCiwcOHCQ0LYAL///e9ZtWoV06ZN48477zwkhC2l5Jvf/Cbjx4/nq1/9Kl1dXfsv9C7Bsixs2yYajbJy5Uqi0SiWZWFZ7+7aJwcC13V55JFHSCQOfNfrg4EXX3yRtWvfvDHGPxe5XI4777yTfP7A9yU8GHjiiSfYsGHD/n/4NuH3+w+YsOPxOL/5zW/e9T5ZWVnJFVdcccCE/eCD+8r7Ho4DsbQvBBZIKa8sfr8UOE5Kee2bfncVcFXx60zg3b8b701UA9FDrcS/AErtMIhSWwyi1BaDmCKlHB6oeBPetUCklPIu4C4AIcSKAzHz3w8otYWHUjsMotQWgyi1xSCEEAfkUz4Q90g7MGaP76OL/yuhhBJKKOGfjAMh7eXAZCHEBCGEAVwC/GU/ZUoooYQSSjgI2K97REppCyGuBRbhpfzdLaXcuJ9id70byv2boNQWHkrtMIhSWwyi1BaDOKC2OChLs5ZQQgkllHBw8M6yu0sooYQSSjgkKJF2CSWUUMJ7CO8qaQshFgghtgohdgghDmzJqn9DCCHuFkL0CCHe97nqQogxQojFQohNQoiNQojhi3C/TyCE8Ashlgkh1hbb4uZDrdOhhhBCFUKsFkI8fah1OZQQQjQJIdYLIdbsL/XvXfNpv5Pp7v+uEEKcAqSBe6WUwxc3eR9BCFEP1EspVwkhIsBK4GPv034hgJCUMi2E0IGlwJellK8fYtUOGYQQ1wNzgTIp5dmHWp9DBSFEEzBXSrnfiUbvpqX9npvufrAgpfwH0H+o9fhXgJSyU0q5qvh3CtgMjDq0Wh0aSA/p4le9eLxvMwGEEKOBjwC/299vSxjEu0nao4DWPb638T59OEvYO4QQ44GjgDcOrSaHDkV3wBqgB3hOSvm+bQvg58ANsNd9295vkMCzQoiVxSVB9olSILKEfwqEEGHgMeC/pJTJQ63PoYKU0pFSHok3s/hYIcT70n0mhDgb6JFSrjzUuvyL4CQp5dHAh4EvFF2se8W7Sdql6e4l7BVF/+1jwANSyscPtT7/CpBSxoHFwIJDrcshwonAuUVf7kPAfCHE/YdWpUMHKWV78bMHeALP3bxXvJukXZruXsIwFINvvwc2Syl/dqj1OZQQQowUQlQU/w7gBe23HFqtDg2klDdJKUdLKcfjccWLUspPHWK1DgmEEKFikB4hRAj4EG+xSuq7RtpSShvYPd19M/DIAUx3/7eEEOJB4DVgihCiTQhxxaHW6RDiROBSPEtqTfE4a3+F/k1RDywWQqzDM3Kek1K+r1PdSgCgFlgqhFgLLAP+JqVcuK8fl6axl1BCCSW8h1AKRJZQQgklvIdQIu0SSiihhPcQSqRdQgkllPAeQom0SyihhBLeQyiRdgkllFDCewgl0i6hhBJKeA+hRNollFBCCe8h/H+fdwSppz2JegAAAABJRU5ErkJggg==\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "grid = x,y = np.mgrid[0:5:101j,0:5:101j]\n", + "\n", + "points = np.swapaxes(grid,0,-1).reshape(-1,2)\n", + "v = jax.vmap(m.logpdf, in_axes = (0,None))(points,data)\n", + "v = np.swapaxes(v.reshape(101,101),0,-1)\n", + "plt.contourf(x,y,v, levels = 100)\n", + "plt.contour(x,y,v, levels = 20, colors = 'w')\n", + "\n", + "\n", + "\n", + "grid = x,y = np.mgrid[0:5:11j,0:5:11j]\n", + "points = np.swapaxes(grid,0,-1).reshape(-1,2)\n", + "gradients = jax.vmap(jax.grad(lambda p,d: -m.logpdf(p,d)[0]), in_axes = (0,None))(points,data)\n", + "\n", + "\n", + "plt.quiver(x,y,-gradients[:,0],-gradients[:,1], angles = 'xy', units = 'xy', scale = 20)\n", + "plt.scatter(bestfit[0],bestfit[1], c = 'r')\n", + "\n", + "plt.xlim(0,5)\n", + "plt.ylim(0,5)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Thanks for joining the Tutorial!\n", + "\n", + "\n", + "\n", + "\"A\n" + ] }, { "cell_type": "code", diff --git a/assets/schmidhuber.png b/assets/schmidhuber.png new file mode 100644 index 0000000..deb44a3 Binary files /dev/null and b/assets/schmidhuber.png differ