Class_Work/ME_2016/.ipynb_checkpoints/HW3-checkpoint.ipynb
2024-10-19 00:22:25 -04:00

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Plaintext

{
"cells": [
{
"cell_type": "markdown",
"id": "c1e07947-9b5e-4593-8613-1164417ee953",
"metadata": {},
"source": [
"ME 2016 - Nonlinear Dynamical Systems 1\n",
"\n",
"Homework 3\n",
"\n",
"**Dane Sabo**"
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "211982e1-a936-47d8-a01e-9a90cfc9de1d",
"metadata": {},
"outputs": [],
"source": [
"import sympy as sm\n",
"import numpy as np\n",
"from scipy.integrate import odeint\n",
"import matplotlib.pyplot as plt\n",
"from math import *"
]
},
{
"attachments": {
"ae0f41aa-f319-4437-bf03-f540055a8e3d.png": {
"image/png": 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"
}
},
"cell_type": "markdown",
"id": "a01a46d0-bc05-4b06-a782-431f6f525c9f",
"metadata": {},
"source": [
"![image.png](attachment:ae0f41aa-f319-4437-bf03-f540055a8e3d.png)"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "9db2c23d-bf5d-4c4f-a3ea-78c78aa77569",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x78424e30d670>]"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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ChVi5ciWWLl2K6dOn45tvvsHKlStL/H1xN9iSsOQhWphbt25h7ty5GD16NG7cuIH33nsPt2/fhpubm0XL+/j4wNXVFXfu3Cn1N9bs19KuAQC5o9qoqKhihX/hB9fjx4/BcZzV+6Y4rNlfUVFRqF+/foltNW3aFEePHi3wnb+/f5nr8Oabb+Ljjz/G5s2bodFoIJFILHJ6rci1VRw+Pj6Qy+V49OhRkf8Vd6yLo3Xr1tizZw+ePXuGH374ARMmTCgzsWllvCbKcyzLexz5QqPRALC9pd0a7ELoX4xIJCoyilqyZAlMJlPuZ5PJBJVKVeBi8/X1RWBgYG6qfpFIhNdffx2bNm3CnTt3ipiPU1JSio2SsnZde/Xqhd27d+Pp06e5N5GkpCRs2rQJnTp1gqura5ntODk5AYDVN1lL9hXffebvm49tL4ldu3bhs88+w7x58zBp0iQ8evQIv/32G2bNmlXiiLO4G2xJWPIQzY/BYMA777yDwMBA/Pzzz4iKikLr1q3x0Ucf4c8//7SoDaFQiFdffRUbNmzA1atXi1gaGWMW71dLrgEAuRE1V69eLVYI/frrr+jVq1fu5yVLlgBArpAqL9bur2vXrmH48OEltlfeKR5vb2+EhoZiw4YN0Gq16NOnT26UZGlU5Noqqb3evXtj165dePbsWe5U2v3793MtKmXRqlUrcByHt956C4wxzJo1q8xlKuM1UZ5jWd7jaC3Jycnw9fUt8J3BYMC6desgl8vRoEED3vssL3Yh9C+mf//+WL9+Pdzc3NCgQQNcuHABx44dKxCGn5WVhaCgIAwePBhNmzaFs7Mzjh07hitXrhQYwS1YsAAnT55E27ZtMXbsWDRo0ADp6em4du0ajh07ZrHJuDS+/vprHD16FJ06dcLEiRMhFouxfPly6HQ6fP/99xa10bJlSwDArFmz8Oabb0IikWDAgAG5YqUkLNlXfPeZHz62vTjCw8MxfPhwDB8+PPdmP2PGDCxbtqxUq5At/SG+/vpr3LhxA8ePH4eLiwuaNGmCL7/8El988QUGDx6Mvn37WtTO/PnzceTIEXTt2hXvv/8+6tevj4SEBGzduhVhYWFwd3e3aL9aeg3UqlULjRo1wrFjxzBmzJgi6xMVFYWBAweiT58+uHDhAjZs2IC33noLTZs2fW77Kzw8HOnp6XjllVcq1GdJjBw5EoMHDwYAzJs3z6JlKnJtlcRXX32FQ4cOoXPnzpg4cSKMRiOWLFmChg0b4tatW2UubxbO586dw5w5cywayP0TrglLKc9xtJZx48ZBqVSiS5cuqFKlChITE7Fx40ZERETgxx9/hLOzs036LRcvyEnbTjGUlHiwMOboipSUlGKXN0ekZGRksNGjRzNvb2/m7OzMevfuzSIiIlj16tVzPf11Oh2bPn06a9q0aW7CuaZNm7LffvutSL9JSUls0qRJrGrVqkwikTB/f3/20ksvsRUrVvCyXYxR8rvevXszZ2dn5ujoyLp3715ssraS9gFjjM2bN49VqVKFCYXCYpMfFreMJfsq/7YUjhArqc/ClBQ+b+m2l7YNhYmJiWEBAQGsY8eOTKvVFvjfhAkTmEQiYZGRkWW2wyfh4eFMLBazDz74oMD3RqORtW7dmgUGBrKMjAyL24uOjmYjR45kPj4+uYn1Jk2aVCShYmn71ZprYNGiRczZ2blASLj5mNy7d48NHjyYubi4MA8PDzZ58mSLEiqWhrX769NPP2XVqlXjPdrIjE6nYx4eHszNzc3iyChLry1L72tmTp8+zVq2bMmkUqlVCRXN1KhRg/n4+BRJh/C84fuasITyHEdr2bx5M+vZsyfz8/NjYrGYeXh4sJ49e7Ldu3fbpL+KIGDMXpTGjh07dixBoVCgVq1a+P7773OjbubMmYOvvvoKKSkpNplisBSdTocaNWrgs88+w5QpU2zSh9FoRGBgIAYMGIBVq1bZpI/nQWRkJOrWrYtFixbhww8/fNGr89z5txxHvrDXGrNjx44dC3Fzc8OMGTOwcOHCShdNuHr1akgkEowfP95mfezatQspKSkYOXKkzfp4HsycORM1atSw6b6qzPxbjiNf2C1CduzYsVMBKotFyJZcunQJt27dwrx58+Dt7Y1r16696FWymszMTBw8eBCnTp3CH3/8gYMHD6J3794verWeK/+G42gL7M7SduzYsWOnVH7//Xds2LABzZo1w5o1a1706pSL48eP46233kJQUBCWL1/+nxNBwL/jONoCu0XIjh07duzYsfOfxe4jZMeOHTt27Nj5z2IXQnbs2LFjx46d/yx2IWTHjh07duzY+c9id5YuA47jEB8fDxcXl0pTKdeOHTt27NixUzqMMWRlZSEwMBBCYcl2H7sQKoP4+PgKF7y0Y8eOHTt27LwYYmJiEBQUVOL/7UKoDFxcXADQjqxI4csy6dABqFUL2LDB6kUNBgOOHDmCXr16QSKRlP7jl14CXFyAXbvKt56W0qEDUKUKsHUrAODmIy1W7s7Ekk+sK0ZYKiYTUK8e0KULYGGxznKRkgI0bAi8+Sbwyy9WL27x8bl/n/bb6NHAokVF/s0Yw5ItGUhMN2Lu+z4Qi8ppobx2jc6D4cOBpUvL14Yl3L0LdOsG9OpF57WtLKrx8UD79kCdOsChQ4C49NsaYwx/H1Vi/zkVPh/ljsj7pyy7drKzgU6d6Lw7d46uI1tgMgGhocCDB8ClS4CVBTyt6mfAAODmTeDsWbr/WElyuhFf/5mKAG8xpg7zhNyhmFF3ejrQsyeQkQEcOwYEB1vUtlX3NQDYsgWYMAGoWxfYto3uP3wTHg5MngzcuwcMHQosWABUoGZadKIBhy+qcPKqGkG+YvRu54ROiiuQLV5I55i3N/X37rsAX8+f9HRgxw7gr7+AK1founzpJbq/9esHODpa1EyJx8doBC5fBg4fBo4coX0F0PnVqxe9OnUCHBxK74CxIveMdIUJkfF6RN5LRdT9FESmCZHI3OCvfIZaaRGoqXqKWgEi1GoaCI/OLZFVpzaq1qqV+xwvCbsQKgPzdJirq6tthVB2Np305ejDYDDA0dERrq6uZd8wzA91W26LRgNERACvv57bT2wa0KSeF7/78PRp2p633rLt9ixcCBgMwKxZtjs+jAGffw64uwPffVdsP1uPK/EwToql06vC1Ulk9XoAAHQ6YNIkekgsWWK7/abVAu+/Tw+JNWuAfJXdeYXj6EFhNAKbNwOenqX+3GBkWLQpHRHRYiz/og68XBkSoy28dmbNAqKi6LyzxUPWzA8/kADavJke6rbi66/pYbthA9CsmdWL33miw+w/lBjY2Q9vh7pCKCxG6Gq1wNtvA3FxwIkTQPPmFrdv8X2NMRIkn39OD/Tt2/k/39Rq4MsvgcWL6djv3w+UsxCqTs/h9HUN9oep8DTBgJfbuGDpDH/UvHoQ+Hw+iZOqVen6HDPGYmFSKno9cOAAsH49sG8ffW7aFPjxR2DYMCAgwOomCxyfzEwahOzfTwIoMxOQSICuXYGxY2lfWXEum85fRMzavXjy3ud4EqvH44cKPIkzQGMQoFbmQwTHX0e71HsYbohDzYa+kHdpD3TpQduUbyAkUCrpvYxBmF0IVRaUSts+zAG6YSQklOukt4rbt2m02aJF7lcRT3Vo01DObz9bt9JNok8fftvNT1YWWU0GDyaLg63Yvp0eFL//XuwI88JtDTYeUmLJJ37lF0EAMGcOjdCOHLGdOAGAmTOBO3eonwqMmMvk55+B48fJIliGpUGl5jDnjxQwAEum+cHZUQiDwWBZP8eP03kwbRrQuXPF17sk7t0DvviCzrc33rBdP+fO0bkwciRZBq3k4HkVft+egU9GeKFL8xIe1BwHvPMO9bV1K1nt+MZoBD74AFi2jLbljz8AqZTfPo4fJ1EfGUmDiG+/LZc1MCpej31hKhy7rEaNQAn6d3JGl8ZSOOzcAvT5liyoderQuTx8uPXbUdiCwhhZZtavJ+tPWhrd+z/8kMRpkybWtf/oEbBxI503HAfcuEHfv/QSEBZG/QUG0rnbr1/e7EMZqLUcIuMMeByrx5NHCjy+8gxRzBsu3GAELz+H2lEX0Tf6Mmql3UcVmRaiLp2AN7oCXWYCDRoApfj+WMwLK/f6D0GhUDAATKFQ2K4TjmNMLGbsf/8r1+J6vZ7t2rWL6fX60n+YmsoYwNgvv5SrH4v57TfqJyYm96uhM2PZ4xhdKQtZidHImL8/Y0OH8tdmcSxcSNsSHl7uJso8PtnZjFWrxljz5rRdhXgco2MDp8Ww8IgKVom+eJExoZCxceMq1k5ZHD5M+2zqVNv2c/MmY1IpY4MG0TVUCgmpBjZ6bjxbsDaV6Q15v7Xo2snMZKxqVcYaNGDMRpW6GWOMGQyMtWrFmK8vY8nJtusnPZ3Otzp1GFMqrVrUaOTY0q3p7I3PY9mjZ2Vcz59+SufBjz+WazXLPDYqFWP9+1MfX3xR5jlgNenpjI0ZQ+3Xq8fY2bNWN6HRmdjB81ls0vcJ7JVpz9ivW9PZ03g9Y1otY8uXM1arFrXftCljf/9d7PVvEVevMrZ4Mf0dFcXYvHmM1a1LbcvljA0fTtdledo3GBj7/nvGZDLGOnVibPRoxvz9mV4up+PTrRtjX3/N2PXrpR4DjuNYcrqBnb+lZusOZLLZK5LZiC/jWM9J0eydr+LY19PPsM1tP2RXgjqxdLkXrXv16oy9/TZjK1cy9vCh1cfY0ue33SJUGdBqaWRja4tQQgK929oiFB4O+PrmTh+kZhqRpeZQI8CCeX5LOX8eSEwEhgzhr83C6HTkq9OrVwHrFu8sWAA8ewZs2gSIClp70pUmzFqWgrGvuqNFPVn5+9BoaHRetSpN9dmK1FRg1CigcWMaOdsKrZZGzV5ewIoVpfofPXymx6zfUzCgszPeDnW1PvpzyhS6dnbuBGQVOAZlsWABcPUq9ePjY5s+GKOpioQE4MIFqywbWWoO81alQqPj8Nun/vB0LcUyuXw5TfFOngx89BEPK16IpCSgf3/g+nU6/mPHVrzNlBTyW3F1JR+aSZPofJ41i6x0Vhz7J7F67DunwrHL2agTJMVr1VLQOXoVpKHfACuW0vSn2bftl19o6qg8PnSMAb/+SpbKLl3I9/P0aWqre3eyzL7+evn92W7eJP+k8HD6HBZGVss+ffKmBo8coWmwfBhNDM8SDXgca6CprVg9nsQaYDQx1KoiRXCQBK0byDGslytqJN+Dw6RxdO4XLnTxww9kYbIxdiFUGciZx7S5EIqPp/fnIYRatsy9sB9E61GnqhSi8jr3FsfWrYBcTk6ltmL9enpgbNxouz4iI4HvvwdGjAA6dizwL72B4cvlKejczBH9OzlXrJ8vvyS/rePHbefka37IZmQAR4/aVjSYp94OHy516u38LTUWrE3D5KGe6NXWyfp+du8G1q6l6YCWLcu/vmVx4wbw1Vc0ZfHqq7brZ+VKmob98UertudZkgFf/J6CxsEOmPKmD6SSUq7lAweAiROBgQOBn37iz0n+0SOachcI6LpPTgb27uXnHqDVAq+9Rn5Gf/5J+6hlS/J7adrUoiY0Wg4nw9XYd06FhFQjerdzwq8z/FHt1ilg0CA6T//aQFNUPXuSb1a3buXfPwoFiZTt2+nzsWNA/fo0ABk+nAY95UWnIx+yBQtokJ6fpUvJr8hgAA4cgErN4VmyFk9iaXrrcawe0QkGeLiIEBxEoueVLi4IDpIgwEtc1JesenOawuM48pVVKsklQaks2reNsAuhyoBCQe/PyyIUGGi7PnQ6ekD165f7VUS0HiE1eJy35zi6+Pv1A5zK8XCzBJOJBErbtnSzshUff0yjqe+/L/A1YwwLN6TBxVGI8YPcK9bH+fP04Js0CejRo2JtlcaqVTQi/eknoFEj2/Vz9Cj1MWUKWetKYNfpLKzZp8DccT5oVrccoiwlhXxDWrakB6St0OnIiubnRz5PtuLePdpnffoAU6davNiVexp8szoNI0Jd8Xr3EvKpabVkRQkJoWiqFi2KtXCWG8aA8ePp3nXgAPnPnDnDj6WWMRIU585RFJ1UStfjRx+VGYEIkMVx/zkVTlzJRr3qUgzp4YKOTR1JLP71F/kuGQyASkX+ZQsX0n2lIly9Svs5Kqrg9++8A8yYUbG2ARo0d+1K68txAMeBmTgkZYvxWO2EJ/sy8ShGhzuPG+DXY0mo5i9B7RzR07ONE4KrSODmbOWxFwppkGargVop2IVQZeDfZBG6fZtUfL7RZsRTPfp24FGwXLhA22JLk+mOHTQC3bnTdmHfhw+TxeH774sckw2HlIiMM+CXaX4QFReNYylqNd0ca9ak0Z2tePQoT5h88IHt+klLo+1p2LDE7TFxDMt3ZCLspho/f+yH6uWZkjU/eBUK4OTJIqZ/Xpk7F7h1Czh4EPDw4L/9gwdJzL/5Jt1j1q61yMGUMYZtJ7Kw8ZASs0Z7oXWDUoIdNmwA5s8nQeTjQ5FJfA5SNmygYAKAHIqPHAFq1OCn7XnzSLQB9NCfPp2mmkrZR2othxNX1dgXpkJKhhG92ztj2Wf+qOKb7zxZsoSuifzTPY8fV3y/PHtGAmv4cAp4ML/c3endaLRIwJWGPqgGosVVcqe0zNNbAEjwuDC0ayRDdeebeGtwNzjJeXZQf87YhVBlwCyEbBnFA5BFyMPDtlMW5rnkHCHEcQwPonX4+K3Sw5qtYutW2oZ8VideMYfjhoSQed8W6PUUvVGvHt0s83Hqmhq7Tmfh1+n+cJJXMCJi1iwSKadPA84VnF4rCYOBbspyOYXK8xHFURyMAePGkd/GgQPFnsdaPYf5q9OQkmnC0ull+LGUxsaNJIZ//JEiU/hGraZpgMhIOtfef9820Y9GIwnHpk1pkHLkCPnvlYHewLB4czruRuqw5BM/VPUrRQhyHO0ns3Xihx/oXOCL9HSynJqJjKScQdOnV3yQsmkTMHt23ufmzWl74uOBQgn4GGN4+Iwiv06Gq1G/hgOG9XJFhyZySMSForV++YVyGb37Lt1HzK8aNSpuJatWjfYxTyhUJjyJyxE7MXo8iTPgWaIB3u40tVU7SIrBPVwQHCSFn6co1yJoMBhwIF0DqdhGA8XniF0IVQael0XoeYTOh4dTPqSc+em4FCNEIgH8vXgykXMc3WD69rXdg/3YMUo6uHq17R7qP/8MPHxIPgj5wmQfROuwaGMa5k/0hb9XBS/PM2eonw8/JEdKW/HVV5T7ZOdO255fa9fSlOgPPxTrt5GuNOGLZSnwchNh8Ue+kEmtPHYcR8c7NpacfLt0sWoKySqOHgX27KHpGJ4fbAU4fpx8aY4eJQd2g4GmfUt5GKcrTZi9IgWOMiF+m+EPZ8cy9uPBg+R/lr/PfDnEKsyXX5L4BWhgMn06+dNVVASdO0eDkEGD6H4SGlqs24BKw+H4lWzsD1MhXWlCaHtnrPg8AIHepVyfU6YUGeC8aDiOISHNmOfLE6NHZJwBGVkmVA+gqa161R3Qt6MzgqtIyz7u/yLsQqgy8DynxmwthK5dK+AoHfFUj5DqUv7qtF26RMnZbDkttmABjQbfess27cfH03TIK68AvXvnfp2SYcQXy1Lx4RueaBRcRtbVssjOpgzVwcE0ZWErwsLIOXPsWNs6+T55QlNuPXoUG4X0LNGAmb8mo0NTR4wf5F6+6cT9+0lcL1hAYsGW1q1du6h9gJxPbdWPecoHoCkVvb5UEfQoRo//LUtBl+aOGPeau2UBDmYR5+tLlpChQ/mdTt6yBXjvPZquCgnhr11XV7qXFJOvhzGGiKdk/Tl1TY3GwQ54u68b2jeWl53RvRLUpNTpOTxNoKit/NNbErEAwUEkerq1dMJ7r0hQzV9S/iz1/xLsQqgy8DwtQp062a59vZ7M79Om5X4VEa1DSI0KPtTzs3Urhbj2789fm/m5fJl8EX76if/EbGY+/ZRG5vnKaGh0HGYtS0Gf9k7o2YYH34rPPqOpijNnbOdQrlBQtFtwMGXctQXnzwNt2lA0lVhcrH/LzYdazP4jFSP7umFQ9wo4Wu7cSa/MTArJrlmzYuteEkYjRTuZWbAAaNeO/6g0jYa2B6Apn61bS006eeqaGos2pmHC6x4I7WChtfXqVeDUKRLC333Hr4+T2bfm9u0i01S80Lhxka9Uag5HL2dj/zkVFCoOoR2csOqLgIpbZ21IRpYpd0qLfHkMiE0ywN9LjOAgCYKDpGjTS47aQRJ4u4vsxcOLofIe3f8S5qgxW3rLM2Z7i9CdOySG8t3QH0TrMSKUJ98n87RYaKjt9tWCBVSm4b33bNO+uaTB//6XW9uJ4xgWrE1DoLcYo/vzsK9OniQrw8cf20b4ZmXR/p88mUbU58/bRmwxRtFULVuSg/zffxd5IB69lI2lWzMwY6QnOjapQCkCo5GmqjIz6fPGjTT9Ygv/oLAwcvoGqI/t2ylijG/276djNW4cCfsSfAM5jmHdAQX2hqkwf6KvddbIAwdIbNsi27b5gW2LfZMPxhjuRlLk15nrajSt44DRA9zQrqGc35QfPKBQmXDzkQ4Pn+Xl5slSc6gZKEHtIAka1nLAK11cUKuKBI6y/87UVkWxC6HKgFJJpSIq6OlfKpmZFKZry9D5Qo7SBiPDoxiaGuOFK1eAmBjbJeq7f59G0HPm2ObBbjKReKhalSw2Ofy5V4GkdBN++ti3+HpNlmBOr69SUX2iunUpDwjfMEbRR2+8QYLu66+B1q357weg3DqPH9OrXj2aejEYAIkEjDFsOKjE7jNZ+P4DH9SrXkGr44ULeeLEzY2Ojy1EEJBX8Pi990iwllV8srzs3k3HqJQSGhothwXr0pCQasRvM/zh52nlPejzz21737IhymwTjl2myK9sDVl//vxfgPX7wIao1BxuPtbixkMdrj/QIjbZiPo1pKhfQ4qX2zhh/CApqvqKK51g+6dReY74fxml8vlEjAG2tQhdu0bWlOrVAQBR8QZ4u4ng7sKTo7R5WmzAAH7aK8zChSSAJk+2Tftr19LDfcuW3EKKhy+qcORSNn6d4We9c29+rl8ny+LWreQLcu4cv5E7Zm7cICvAwYNkbcon6Hhny5a8vyMjySG3a1cYTVQ49f5TPZZO9+dn2mLPHnqvX58EhK3qyjFGlpqlSynpoK2mKRgjJ/ZSKsonphnxxbIUBPmK8fM0v+Irx5fFP0wEMcZw+4kO+8JUCLupQYt6Mox91R1tGsgqhZjQ6DjceaLD9RzhExlHyWib15Vh4useaFhLCoeK3CfsFMs/6yz+t/I8Cq4+jxxC4eGU4Czn5n7/KY/+QYzRtFjv3rbZVzExNHqePJn/IqFnz9L73LmU9j7H0fv2Yy1+3ZqBH6b4wce9gpfirl0U5RYbSwnV2rWrWHslYRYnjAEXL1Lpgfnz+X+gM0aiDqBSLdu2Ae3aFVs4lRf276eIpPXrbXstxsSQ/1H37rbrA6DjUYoIuv1Yizl/pGJgF5eSK8f/i1CoTDhyiSK/tAaGfh2csfZLd/h4vNhHoN7AcC+KRM+NhzpEROtQI0CC5vVkGNXPDU1qO9inuJ4DdiFUGXgeQsjWWaUNBkoKly/cOOIpjxmlr14FoqMp+RmfmHMrmR2X8+cr4YsJEyhpolJJSdYEAsSnGjHnj1R8MsILdavxsI927yYRBJCv1sWL/IshxshPByCH5XnzSHTZwqpx4wZFinXtSn36+SExzYjPf0tBvepSfPyWZ8HcLRVlxAjy27JV9JaZatXo9QI5cE6FZTvKqBz/L4AxhpuPyPpz/rYGrUJkmDjYAy3ryyqWpLQCGE0MD6L1uP5Ai+sPtbgXqUeAtxjN6zlg8EsuaFrHG65OPFnQ/w1wHNU7a9bMptF4diFUGfg3WITu3iUfpPwZpaN5yCit01H01tatlN2X7wSHp0+TNWXvXnoY8h2d8vQpWQEA8nHZvBmqjz7DrN+zMKi7Cz8PoqgoEqEAPchffrniKfyLIzyc+vL2BjZvpnpJtmLrVoo+XLAAEIsrXji1LD7/3PYi6AVjMjH8npNxe9FUP9Su+pyzAZv92GxMpsKAw5fV2H8uG0YTQ7+Ozpjwuge83HgWGIzRALCU6FITx/Ak1pArfG4/1sHTVYTm9WTo39EZs0bLyk76yXGUgNNWedPM6PXkXF+WRZzjyA3CwhpsRZbNyKAM5DlFuYtgMJAD/o4d5LP52mtUWLYwjFGQg9FIyxgMRf9WqSxaLbsQqgwoFBTRYT7otiAhgfyQTp6kk/3NN/lt/9o1es8RQurdBxGXWL/iN9vr12m/bNtG5RsK+1Lt2kVC8u23y3eTffAgz8qRmEgP+GHDiv5u+3a6gMeMse6Befp03t9ZWTB17Y6vN6tRt6oEb/UuRvzu2kXOwR99ZHkGWrN/i5sbbUu+3EQlcvQoJY6cP9/yfrZsIcfobdsst2pcukQ1yJYssc4peNAgoFUrAFQ49bt16Zg0xKPkwqkPHpBPzPLlto2+TEykBJVLltg2mkmpJGfqBQtKneKylCw1h7krU6EzMPz+qT88zH57KhXVwpozB2jSpML9lEhyMg00vvzSJpGMHMdw46EO+3c/xYVIIdr4q/HBG/XQMkTG/7RfVBRNoa5bR2VYPvkk91+MMTxNMOD6Ax2uP9Ti5kMtHGVCNK8nQ4+Wjvh4mCd8y3LG1unIAh4WRq9z5+j+ZkkdOr2errmSoviMRhqcPXpU9BUdTQPNHTuKXzY6mqbfV6+mhJnm9ANPntC9MTWVAg5SU4u+zN+np5MYat2aUpWY0WrpnrRjB93P0tPz/vfXX3TPKSxyLCnIakEWdcAuhCoHSiXdYJcssa0QCgigB0V8PH9CiOPoQXfjBtW6ycm98nDtYVRzcYTcoUbF2tfp8gqSurtTVtnvv88TPd98Q3+PHFm+9h8+zPs7Obl4R2ydjqbMAgMpZb415BdCe/fi9+g6yNbqMXecT1GrRlIS5WOpVcu6jMa7d1OU2N699F4WkZEU9VW9OpUXcLTAKsUYTSGeOWN5iZaoKNqfbm70wLVGCOWIIHPh1DljvdG8Xgn9JidTSgW1mm6gthJCajU9KO7dIwuSrYSQwQAMGUL5rMaPr7AQepZowBfLzJXjPfMqx6vVdHzOnqXrx1ZCKDyc7mupqXSseESt5bD/nAp7jmeApaah35U/MCnrPDwXzQMaNCt/wznRibkolWSlXLeOrgGBAOjZE6x+A8QlG3Kjum481AIAmtWToW1DOcYPckegtzjvWtfpgN9W0HS5+bvMTIpaPHuWhM/ly/Q7gCIXhw4tu/xKVhb5ni1eTIO1oKDixU5UVEEB4e5OgQHt2pHYatOmYLs6HQ3OVq2igZM5t9Mff9BrwwbyC9VoCi4nk5Hl2Pxq1qzg55yAmlxEIlqXKlXoGZJfCNWvT9YnsZiOiURi2d8SCe1jC551diFUGVAqybzKV6Xm/CgUFD0UH08P8sxMOuH4QiikelZKJbX76qvAsmWISJMixDu9rKXLxnxDAChqaNOmvBvIo0c0csqXmNBqzEIoODgvs3Bhli2jSKw1a6y3Op0+nWsC3qeuh/O3s/HrDP+8h5EZxkgEqVR0s7U0Gic9nSLdLl2y7LhmZ9MxEgrJ0maJCDIzc6blv83IoLIFJhNFmVnpgG5x4VTzwzwpifZ14RssX5hMZNEIDyfB2ayZbfoxF3s9coTOtx49KtTc5bsazF9TTOV4rZYym585Q9cUn1nB85fwWLeO6qgFBFC+KZ72W/K+M9ihb4wDYVloqI/ClP1z0CI1HMLPZwJTF1UsYnLbNprq/+ILslKsW0fXilYL1K+PpK9/wY3mr+J6iiOun9NCezIJTes4oHk9Gd7u64bq/uKigxzGyNIxbRoNDDw9SfScPUsJIxmjB3erVmRx7NwZ6NCh7OsmKYmyef/2W14OrHnzCvpSuriQ2GnRggZAderkvby8Sr6nabVkhTpwgFKX5C8eW6cOnT8AsHJlQZHj7W3dfQWgbe/cmV5ff51XFubQIXqGLV1aPou/OVlxWTA7paJQKBgAplAobNMBxzEmkTBWpQpjvXuXqwm9Xs927drF9Hp90X/GxDDWqBFj3t6MtWnDmKcnY6++WsGVLkSTJozRZcLYpEmMpaSw2b1+Z3tn76x423v25LW9dGnB/82dy5hAwFhcXPna5jjGXF0Z8/Fh7PHj4n+jVNL/X37Z+vZjYhirW5fpIyPZL6uOswHTnrHIOF3xv/3zT9rGX36xro/0dMaMRst+y3GMDRnCmFDI2LFj1vVjDTodY927MyaVMnb2rNWLa3Qm9r9lyWz8ggSWpihl24xGxl55hbZn795yrWqp105+pk2j4/Prr+Xqx2LmzqV+vvqqQs1wHMe2HFOwVz6JYZfvqulLrZbOAa2WsdBQunbWr+dhpQsxZQpj2dmMffghbctLLzGWkmJ1M8Udm4fPdOybT8NY37H32cLPTrOoGq3o+I8bx1hiYsXWW6tlbPJkWufmzRkLCGAMYGlV6rJjE5eyHxZHsOH/i2N9pz5jny1NYn8fVbCHz3TMaOJKb/f2bcZ69sy7j5lfrq6M9enD2NdfM3bqFGNqteXrajAw9tNPjLm4FG03JITuJ2fP0j7hylg/S9DrGbt2jbHffmNs1CjGOndm+tRUy66dimIy0ascWPr8tguhMrCpEDp0iLG//qKTNzCQLr5yUOrNnOPoQW6+SJycGHvvvQqueCF696a2HR0ZS0hg7Ngx9saI8+zxjrCKt711K7Xdp0/BC5rj6ILv3r38bScm0v64cqXk35gfTKX9piRu3WIsKYk9iVGz0A+fsLDryuJ/FxVFN7QePcp9wVvEt9/StixaZLs+OI5ulABjmzZZvXi60sgmfJfAvliWzDS6UvYFxzH2wQfUz2+/lXt1LRJCv/1G/Xz0Ubn7KRXzeb1mDfUzenSFHl46PccWrE1lb8+OY88S823XwoWMnTvH2IAB1M+ff1ZwxYth3z5qu0EDep82jR7a5cB8bLRaHbtwW80+/imRvTL5Efuz9ccsTe5N7ffuTUKjojx5wljLlowBTOHgxk7X7MN+GrmevfNJBOvzYTT75OcktuFgJrsbqWUGo4XHJi2NhJVIVFSsrFpl+QCmNPR6xh4+pP2+aBFj48fToO3Bg4q3XVbXOt3zEUIVwNLnt31q7EVSpUre3G98vG0S4AkEZBI9fJg+cxy/U2MA4O9P7x99BPj7I23dDihkL6FGJ++Kt63Tkfn2zz8LmkZv3qSpsnx1zawmKorM4Dn+KEVIS6OCkq+/XvJvSqNxYyhUJny5NBFtghPRpmHVor/hOOCdd2jbbFnt/tAh8msZPtx2FdUBMmuvXUvvxTmdl4JVhVN/+ol86mbMIH8LW3HgAOWWeuUVSrjJNyoV+Vo0aULO0S+/TH585YyuSleY8OWKFDjJC1WOVyopIzvH0RTK8uVUlJdPUlPzfOju3aNkmxXIAq83MNyJ9cLOBangGDDY8S6+Wf4KZIYcf5Tq1WlayBK/uFLI/nsnbs9Zheseobg+eC6iPWojJPkmmjtoMfXdqqgfLC86lW0JRiPtj9dfp+mdzMyC73xc6xJJ3jRXv34Vb88a/kU1y+xC6EXSoAHNFZsdw2zl32AWQm3bWu5LYg0BAeRImxM9EXE/E3XVDyHyqVfxtrVacgIsHPa/eTPdBF5/vfxtt25dul/WggX0oCpn7iKDkeGrP1LRrK4DajunFP+jX34h35a1a22XX+bxYxIlzZrRvrTVDWzjRooKeucdEl1WYFXh1O3bSQC/8YZtyq1kZlJwgV5PfbRoQdtmCx++Vasock+vp/vBtm0FnXSt4OEzqhzfraUj3n+1UOX4RYsK3mfc3Ar68lQUs29TUlLed0eOAG+9VWxx09JQqEzYc0aFnaey4CjxxNjXXdD54QEIh79FQs7Vle5l7dtTkImVQkir53A3knL53LitxKOEZgjuvwDNfTUYW42hUW0t5D5t6T7pIi//9eLra3HUkp0Xi10IvUiEQgol3bOHImr4rNycnxYt6P3tt0kI8d2Pvz850uYIrAepYoS4p/LTdmho0SSQHEdCKDS0YttS2kMgLo4c9EaNoqgFK2GM4ee/0yEUApMGu+LI4WJ+ZB41v/YaHRtbkJVFjrBisfXO0dZw9ixFq/ToYbVF49jlbCzZUkbh1Oxscgq/cIGcljt2JGdiW1jQ/viD+rl8mQYqe/fapvac0UhRPqk510rfviRWypFT7FR4NhZtSseEwR4IbV/I4T81Ffjxx7zPVaqQ6OZT2G3cSALV0ZFE9/jxVltRY5MN2HY8C0cvZ6NtQzm+et8DkXfD0UFkgPDkCQpaaN+erkcr1t1gZLj/VEch7Q+0iIjWo6qfGM3ryvDWQG80qSODs/zfnUPKTun8o4TQmTNnsHDhQoSHhyMhIQE7d+7Eq2VEO5w6dQoff/wx7t69i6pVq+KLL77AO++881zW1yK6dCEh5OZmu7o9LVrQDb1bN/rMt0WoVas8saXXI0JQBX389fy0XVwm7PPnKUmhOazeFsydS4JrzpxyLb7tRBZuPdLh1xn+EItMRX9gMFDIsptbhaZCSoUxss5ERFDoq60sjg8fktiqXZsehqUkmCu4egwbDimx+7QFhVPHjiUr0IAB9BDftcvyMH5rMBjIShcbSyLr7Nm8qV++2baNcrOYKUdEp0bHYdUeBU6GZ5dcOd5s2QwOBr77jnI08Xm+mcuG/PorTb1aUTeR5dT+2nosCzceatGngzNWfREAfy8xDAYDIu+CLGXLl1u1Slo9h4u3NTh+VY3w+1r4elASw9e6uaBZXQe4OduzN9vJ4x8lhLKzs9G0aVOMGTMGgwYNKvP3UVFR6NevH8aPH4+NGzfi+PHjeO+99xAQEIDeliSdex507kw3JScn2wmhmjUpD4451wPfQqhjx9w/2b37iPBpgqmNo/jtIz+bN9PI01bFVx89oimLyZPLNV11/pYamw4rseQTP7g4CmEwFCOEvvmGQrF37QJ8fCq+zsUxfz4lKPvppzwRzCcrVtBDtV8/Onf377f43MotnBqlK7twakQEHfMdO8hacvAg//XgzGzblleqhOOAKVMoTxPfpWkYy/M5atiQ9mWHDlY1ER6hxY8b0xBcRYrln/nDu7h6dbGxlJDu55/JSmOhSLUKV1ea3rVCXJlMDGdvqLHleBZSM00Y1M0Fn470qlDtOIOR4co9DU6Gq3H+lga1qkjQo5UTPnzDo+K1/Oz8q/lHnR2hoaEIDQ21+PfLli1DzZo18WOOWbh+/foICwvD4sWLK48Qat6cHuh37pTbVM0Yg9akRbY+GxJWgn/BhxOAc2GABICLDNBnl3+dSyHuwi1wrDZcW1ZDti36MBiAHX8Dr/WnbbFFH7M/B1wcgOlTrG4/Mk6Pb9alYNZoL3i465Gt18NgMBQ8PteuAd/NA0YPB0J78rsNz54BchkQfg2Y+wUwahgw/l3+99P9e8CUCcDK34DkWODgISDQx6J+VGoO89dQ4dQFH/rA2VGHbL2u5AUWf0fHmtMBns7A/p3A++N4sWoUODacGPh5IfUlcwC++B+JYbGY//135jTw6C7w9WwSW1KpxX2o1BxW7s7A5XtajB/kjs7N5BAIStiHCc+A65cAN3cABkBv4HUzAAByMWBQW/RTtZbD4Usq7DmjgpNMiNe6uaBLc+ecunEaZOczJBe5borBxDHcfqzD6WvZOHdLC19PEbo2d8SSUFf45WZwLuP8slMuDAYDWP7cQv9gBOwfuiUCgaDMqbEuXbqgRYsW+Omnn3K/W716NaZOnQqFQlHsMjqdDrp8SfyUSiWqVq2K1NRUuNqqHlhkJGWs7dq1+JoqpcAYQ9e1XXEx/qJt1s2OHTt27NgphvpO9XFlwhVIbWFp5AGlUglvb28oFIpSn9//KIuQtSQmJsKvUBp8Pz8/KJVKaDQayIsJV//222/x1VdfFfn+yJEjcLSVoymQ5+9y4IBVi2lNWrsIsmPHjh07z5372fex7/A+yEQ28NfjAbXaMkvlv1oIlYeZM2fi448/zv1stgj16tXLdhYhAKhXj6JGFi+2arFsfTZwm/6OmhgFd0f3kn/822/A1/Oo6J7UirpPlsIYZow9iaEeEWi1cCK/bXMcYNADjRpTlBXfjtLTpwONGlL025dfAuMtz03DGMOPmzKh1jHMesejSP4bg8GAEydOoMeECZBoNUCfUOCXnwFnnmti7dtL5QzMtGtPTqZ8+yD98AOw6Ec6h6ZNI9+TMkK+L9/T4qe/FRj7igu6t7BwQKFRk//ZqHcoV5ANRp25x6Z7d0hUKgoqqEQwxnDmuhYr92ShfRMHjOrnAieHyh3hxBjDtQc67DqjRlS8AaHtHBHa0RGeLtZN/RsMBuzYdw5GeXOcu6OHKpuhY1MHdGkuR72qEv6LqdqxmGxDNoJ+DgIA9OjRA+5O7i92hUpAaWGJjX+1EPL390dS/rwWAJKSkuDq6lqsNQgAHBwc4FBMcUiJRAJJOfN7WER2dl69GSvIP3fu7uhe+gmZoQJ0DPCwTbFI47NYPHNphFYh6fxfGJ98QlFJCanA0OEA3+2fuQD8vpIettXrAAq1xQ6y6w8okJAswy/T/OBUTBiuwWCATCSDe5YWEo0W2L4H6NgN+OADfqN3/lgLKLWUimH+fEqcyHd4uUYD/LoCaNGORJYFOVyocKoR34ytXnLh1OJ49BTYd4SSxdmI3GPj7AGJR+XK+ZKcbsRPf6XjWRLDvLHV0Kxu5Rx1m9EbGI5fycaW41kwGhkG9/BBr4lOkFsp3JLSjTgZrsaJKwbEJDZB91aOmPaGH5rVcSiYG8nOC0Oiz3vu2PzZWAEsXa9/tRBq3749DhSaajp69Cjat2//gtaoFIxG20WNmeG74Gp+Dh5EZLoUnmoZ3Ftan3enTC5dolwoYjElavPyAho14qdttRq4f5/+1uspw7OFEWmnwrOx60wWfp3uX6wIym3TjJcXVbHu3r2CK12IR4+A48fJ+X7dOv72TWEOHKAkhmPGlCniOI5h+c5MnL1RRuHUkrBVYdNKDscx7D+nwsrdCoR2cMKX73lDJq28ViCFyoQ9Z1XYdToLQT4SvDvADe2byEvPDF6IdKUJZ66rceKqGk9i9WjfWI4RfVyQEn0VA/uHVtoHrR0bwBgVbY6NpdQMMTH0d5cuQK9eNunyHyWEVCoVHj9+nPs5KioKN27cgKenJ6pVq4aZM2ciLi4O69atAwCMHz8eS5cuxYwZMzBmzBicOHECW7Zswf79+1/UJpQMn1leC2MwUNsZGbZL2rh5MyLuyxDi0RT48xolhuMzvF2lonejEbh1i0o48MWtWzT1BgC9e1MunGKsgoWJeKrDok3pmD/Rt/Tw7zNn6L1JEwplrlGj4utcmFWrqFr2//5nmxBpM6++atF5qtZy+G5dGpIzTFg63R+erva8LZYQl2zADxvToczm8N1kH4TUsMEUNk/EJRuw7QQlQGzdQI6vx/mgfk3L11el5nD2Bomfu5E6tAyR4bWuzmjXWA65gxAGgwEHYv6RsTz/XrKzKcL5+mX+22aMUmRMnZqXwsKMmxuVuTEYyp15vTT+UULo6tWr6J5vJG325Rk1ahTWrFmDhIQEPHv2LPf/NWvWxP79+/HRRx/h559/RlBQEFauXFl5QufzY0shZDQCPXuSOOE48of56CN+c6MEBSEixhMhyTeB+0esjn4rk+yc0OKAALLY8DmldO0avffsSdmXLUjUl5JhxP+Wp+LDNzyLT2KXn717SWAdOVKurMEW8d57NHVoayw4R+880eHbtWkIqS7F4o98K7U1o7Jg4hi2Hc/ChkMKDO7hird6u+aElFc+Hj7TY/MRJa7e06B3Oyf88XkAArwte5RodBwu3NbgxFU1rkVo0SjYAT1aO2L2e94VyiH0j4Uxfu9lCQk08Dp9mqoWvPVWxds8doyyet+8CTx5kuPCAWBWzv+vXQOCQwA/v4o9wwQCKpnUsyflPlu0iGrkAVSbrU0bGuQ1aECDyqZN6dWkSYX9IP9RQqhbt26l5i1Ys2ZNsctcv37dhmtVQa5fJ6FiMpFI2boVGDyY34tDLqfpmTt36POZM/wXkAwKQoRfHfR5sAX4chb/WX9VKtonGzYA3jwUc81PeDglHNy926LCtxodh1nLUtCnvRN6timj9AJjVBYAsE1RXTPPQwSVgcHIsG6/AnvOqjBpiAdebuMIwb+oMKOtiIrX4/v16RAIgF+m+aFmYOULRWaM4foDHTYfUeJxrB6Durngo2EecHUq+8GnNzBcuU/i5+JtDWoHSdGjlSOmDfeEh5UO1M+d6Gh+M7IzRvf8HTtoOnvz5ord62NjgVOnSPicPk1tAtRm7drApk00+HJxKfhydaX7kSV99+xJMwlLllCesvxT/QDQvx/5JorFNLiuWhUICqJ388v82de3bL9FNzdg9mzyoVy0iJKB9utHQTI3b9LrxAlyATATEJAniswCyYoadP8oIfRC0WptM5r38aETBKCIscGDgSFD+O+nY0fgYk6Y/ahRvDev9q+GWLeaqOOYRf4jej2ZMPl6EGZnU12uHj0Kfp+eThdORUYizs7Avn2l1+FKSABcXcHJHTF/TRoCvcUY3d+CUgICAfDmm5anRUhIoJsl35mMC5OWRn3x5EsUnWDA/DWpcJQJsXxmvkzRWVkkwG3tl6fTUekVvn2vCmMykS8WD74KBiPDxkMKbD+ZhbdD3fB6D5c8vxrG6Jzs39825Vf0ehpdcxxN1w4dWqyPooljCLuhwV9HlMhUmTDkJVfMHeddpgO0ycRw/V42Th58irNJbgjwFKKH/gbGfdAGvrV4imI0GqkeYKdOVOZHp6MaccePk2WhvD5mJhNlSf/lF7o3r15NQQIxMSQE8r8PHEivsto7f57Ez86deWVVunShe5rRSFM+BkPe34XfQ0OBicVE4opEQEoKWWXMIgig82fatNLXSygsKIxcXOj+On9+0d+2bEm1/b7/nmrx/fErgAT634aNFMSS36fnxg2yhBcOX5dISBR16ECD2tLw9CQXiKlTqQzVG2/Qy0xaGnD7dp44unWLRJM5D6BUanHBX7sQspSMDNtUEg4KooN1+zadvK+9xn8fAN0sfvyRTv5ffin+oqoAjxyqoVrGY8hnzaATcOxYuvjv3q1444zRPiomvxM+/DDvIijvA+O778q2YL37LhATg1VzzyA1w4TFH/vyH76r15MQTk2l/WYr53mFgqbqEhLI1F0B6x3HMew6rcLqfZkY0ccNQ15yydsv6emUEuL+fUrZYCv/tKwsum7OnKG6Z7bwwQJoMDRiBPmQXblidVHR/EQ81WHhhnS4OQmx7FN/VPGVUPsyGb2/9x4VMt23j0bDfBIfT/XHZswARo+mqQ/GqE5YDnoDw5FL2dhyTAmJWIA3X3ZF91aOEJcRtRWTZMD+cyocvaiCS3o8erB7+LWKAlUXf00Prhp/ArVGV3wbLlyglAo3b5Jv3KxZVBdOo6Hrpnp164VQZiaJnqVLKcktQJYGH5+8wrhmhEIarDRvXnqbGg3dd9euBfL5twKg+2N4OIkDiYTWu/Df5nezj2RhAgLIzeGjj+g627iRXomJZHkSiej6ML+UyoKfC39f1j3H15f29dRJwA8513OPHsVH8Zbk9BwTY51V39ubBteF8fIiS37+8kFGIwlCszhKTaV9XBbMTqkoFAoGgCkUCtt1MmMGYwBjAgFjmZlWLarSqRjmgGEOWIYqo+QfJiVRH1WrMlavXsXWtxg274hjCwf+zpjBQF907sxYt278NG4wMPbkSdHvVSrGnJwYGz+en35KYt8+xgB2aO4ONmRmLEvJMFi1uF6vZ7t27WJ6vb70H06YQMdo+/YKrGwZZGUx1qEDYxIJYwcPVqip5AwD++TnJPbuvHj2OEZX8J8JCYw1bsyYgwNje/ZUqJ9SSUxkrEULxsRixjZutHpxi49NWhqd0wIBY7/8Us6VZUyjM7HftqWzgdNi2N6zWcxk4ugfRiNjgwfT9rRrR/189x1jHFfuvopFq2WsfXvGfHwYc3dnzNmZsZUrc/tRqU1s8xEFG/xZLPvwx0R24baacWWsg07PseNXVOyjxYms/8fP2E+rY9nDLkMZR49Cer32GmMXL1q1qsUem9RUxsaOzWvX/GrShLGPPmJs/37GlErr9onBQMfU1bVou9WqMTZxImMLFtD5dfYsY9HRjJV1vhTHo0eMLV3KWP/+jDk6MjZkiPVtWALHMRYWxtidO7Zpn1nx3HnBWPr8tguhMnguQujkSbroZDKrF7XqhKxTh7EuXRirX79cq1kas1cks70/n877wteXsfff572fAmzaRPvt7Fnb9aHTMVanDrvVbggbOO0ZexCtK3uZQlj0sF25krbl888rsLJloFYz1qMHYyIRYzt3Vqipk1dV7JVPYtjv29OZTl/oQfn0KWO1a9ND9sSJCvVTKo8fMxYcTGL48OFyNVHqscnKYmz5cnrw1a9Pom7btnKv7vUHGjb8yzg289cklpxeSEwvXkzH38+PtmfXrnL3Uyrvv5/3kPf0ZOzBA8YYY2mZRrZiZwYb8PEzNuv3ZHb7sbbMpqIT9ey3benslU9i2KTvE9iB81lMff8JHfv8YmLcuHIJugLHxmRi7M8/GfP2LipWuncvnzApTHY2Y1euMLZqFWNTp9K1UrMmHX++0Wrp2tBZfz+pDPzbhJB9aqwy0LEjTSfxnfyuMIMGkck3LY33piOi9Rjxflv6kJkJJCdTtmxbsnEjmcCtrNptFT//jPhELeb0W4Bpw71Qt5oNHFkvX6apyt69gblz+W8foHnz118HTp6k/VZKjb7SUKk5/PJ3Om490WHOWO+iSf4ePABefplM+ceOAW3bVnzd83P9Ok153LgB9OlDPi4nTwKtW/PbDwDMmUO+CV99RVMcx47RFLOVZGs4rNiZiTM31Jg8xAM9WhVyIn/8GPj8c/o7KYn8IvhMPWFmxQp6mdHpELd6F7Y0ehfHrqrRpbkjfi7DWVtvoKrx+8JUeBKrR882Tvhxii+Cg6Tkp9I1lK59Dw+6/uvWJT+b2Ng8X8jyYDTSFMiZM3QstFp6N/+dkABUq1b+9gHyEWzVquCUJ2PUN984ONjen82OxdiFUGVAIgGCg8m/ge9wyvzMmkW+Ljy3n64wQZHFoUaVnBvogwf0bkshlJoKHD5MqQBsJSATE6FasBiz3tiJ13t7oUtzG9SaS0oigRoURBEetkihYDQCw4YBBw9SvqFhw8rVzPUHWny3Lg1N6zhg5awAOJsTSCoU5LB+4wY5EQuFFMFioaOixRgMwMiR5C8wezb5CBw+bFV0iMXcvEkhvCYTXZ9nz5ZL1F28rcHizeloVNsBf/4voGiUFMfRNanR0GeJBIiIoAELn5GA588DkyfTcRo4EI9eHoG/NE1xOUKPPg5C/Pm/gHzV2osSnUC+P0cuZaOqnxj9OzmjawufvNQIRiP5ge3aRcfDy4u/dQdooFizJr9tWoJAYJO8NXYqF3YhVFno1Yuc3XQ6/kPPzbi40I2XZ+EQEa1DnWrSPEfKhw/p3ZZCaMsWuvnykSejJGbOxG/NP0Gtxn4Y1tsGEYMGA0XrZGSQ8yefda5MJjrOHEdRgjt3khNocU6HZaA3MKzak4kjl7Ix5U1PdMtfK0yjoW2YPZsco93dyXJii3D+JUsoAu3jjylM9tAhchblG46j+mkmE302GChaZvVqiyNHFSoTft2agesPdZg6zAMdm5Qgon//nawc/v7k/Pv++/Q3n6jVwOHDYLv34HrVjvjrpAYPb+kxqLsMH77lDTfn4sW33sBw5roae8NUiIrTo1dbJyz+yLd4i5FYTILejp1/IHYhVFkwi4asLNsJIcBGQkiPkOr5bo4PHtAoylbROwBZT5o0sV0picuXce3oQ1x65VP8OaYqv/lwzFa/Tz6hh+DmzbQtfLJuHdCwIU2FbNpEeaMmTbK6mSexesxfkwYvNxH++Nwf3u6Fbhk//ECJIs+coamJY8cqNgVSEnFxJLbMZGZSOghbRFmuXEltC4WUymLGDKBFC4sWZYzhVLgaS7dmoH0TOVb/L6DkRIFRUWRB2biRogVtlBHcJJPj3KufYvMRJTLOKTH0JVd89X7JIfBPc6w/Ry9lo5q/BP07OqFLfuuPHTv/MuxCqLLgklOJPCuL/2rh+WGMdyH0IFqP3u3yJRZ88ICm+mwV/v30KXDuHIW9802OC6ZuyjQs7vE9Jr7pU+KIuVxkZND0lJ8fpTGYNo3yDPGJXk++Rjod+U589RWJLiswcQxbj2dh4yEF3h3ojle6OBcVg7GxFIYNkJ9Gx455OTz4Ztq0vBDi9u3Jp4bvsHKA/FvmzCHrzLRpdB5byMNnevyxKxPxKQbMGu2NFiFlDGh8fICjRyu2vqWgNzAcu5yNv45SCPwbL7uiRwkh8Do9h9PXNdgfpsLTBANeLs36Y8fOvwy7EKos5BdCtoTjePURYowh4qkeH76RL0fMgwe2nRbbtIm2oZy+LiXCGImGWrWwgWuHwCAn9OjE43QVQEnE5s+nKaUePfKEBJ+sXk1iEaBcJy1aWFXUNzHNiAVr06DVM/w63R/V/Evwkfjss7yEaV5edMz5ntYBKEHe33/T9PHnn1MiOlv50ZmTwVmRM+xZkgF/7snEjYc6vNnLFfPGW1gk1dm5/OtZCtkaDvvCVNh2IguB3mJMfN0DbRvJirVqRsXrsf9cNo5eykaNQAn6d3JGl+ZyOPxHrT8mjsFoZJCIBfznCbNTabELocrC8xRCPFqE4lOMEAiAQHOtIY6jhFZ9+vDWRy4XLtDDY+NGehjyPQXz5Anw1VeIqtYSu/qsx4qPavM/JbZiBVmFABIN16/zG/Gk1RYsSOvoaHEdO8YYjl7Kxq/bMvFqV2e83det5AR658/TcfDyIof1SZNs82A3GikqrIIJDC2mZUuLf5qSYcTaAwqcDlfj1W4u+GS41wutl5WaacSu0yrsPatCo2AHzH7Pu9g6eDo9h9PX1Nh3LhvPEsn688s0P1QP+Pc6Bau1HNKVJnopTEhX0uc0hQkZShPScv6nyOLA5VRxkogBqUQAqUQAB4kAUrEg93PuS5zv/5b8TyyAVFrycg4SASRi2EvTPGfsQqiy8A8VQmb/IIFAQFYIgYAexrawCEVHkxOrQkF1aE6cKFpyoyKcOQMOAvzYchaG31yGgHmMIof42l9XruTVexMKyYeqaVN+2jazYgVNWbm7k0/NxIkW+Z4oVCYs3pyOx7EGzJ/og4a1Sikky3EkthYssJ0AMiMWFxR2lQCFyoRNh5U4cE6Fl9s6Ye3sQHi6vbiaWU9i9dh2IgtnrlMI/E8fFz+lFRWvx74w8v2pVUWKgZ2d0aW5I6SSf+ZD12RiyFRxSFOQiMnIETa5gkeZJ370egZ3FyE83UTwdKWXl6sIdapK4ekmgperMPd7qVQAvYHRy8ig1+e853yny/0f8n6X7/c6PYMymyvxf/nbKtCPgcGY459vFmEOJQioIv8rRlA5SAQI9BEjuIoUHq5Cu7gqBbsQqiz8Q4XQ/ad6hNTIuemuXk0h2gCViFi/Hnj7bd76gkpFIgigCCK+rU5nz2Jvw+HQi2QYUjURWLiOX3+q1avpvWZN2jcdO/LXNkDTVAsXkkg0h5dbwOW7GizckI52jWT4Y6Y/5LIytjk7m6L2bCmAKiFqLYdtJ7Kw7bgS7RvLscKKqut8wxjD1ftabDmWhUcxegzo7Ix1cwLhVUiQmfP+7D6jwrNEA3q3c8LS0qY7XzCMMai1DOlKE1LSdXiY4A7dqWwospFP4JBVJ1PFQe4ggKerCB45wsbTVQhvNxHqVpPmChtPNxHcnIV5ddwsQO4ggLyUsYCtMJnyCaVCIkxXQDgBej1XQIyZ/28WYRodh8OXsvE03gAHqQC1qkhQq4oUtQIlqFVFguoBErsDfA52IVRZsLUQysgAli8nMaHXUyj14MEV9ulITjeibtOcqup16uQlBFy8mHwt+CT/vvn4YwrX5pGUS/fwZ7s/8J1wK0TLbZDTZ+dOyhmzeHHe8eaTBw/I+TYkxKKfa/Uclu+gRH/T3vJEh5JCvAtji3WvxOgNDHvPZmHTYSUa1HQoM+mgrdfl+JVsbD2eBYORYXAPl2KLoCakGrE3TIVD51UI9BFjYBcXdGtReaw/Jo7hWaIBD5/pERGtR2SsAak501R6A4OHqwgeLgIYtZ7g5AZ4e0hyxY2XmwgeORacsoq//tMQiQSQi/gVYSaOISHViMg4AyLj9Lh4R4NNh5VITDMiwFucK5Bq5gikAC/xi/WPevyYBormYrCFX40a8R7wYxdClYHkZMApJ+oqK4t8Yfiu1u3hQT4d5qmZzMxyhVMXRihE7pw66tTJ+0doKP/TPmYh1LIl8O23/LYdF4el1cagl1MUQn6Zaxtn3D//BF55hf92zZRVADIfEU91mL8mDdX8JVg5q5hEf3Zg4shnas1+BQK8xJg7rowpQxuiUJmw56wKu05nIchHgjED3NC+ibyAlcPEMVy6o8GesyrceaJDj1ZO+P4DX9Su+mIjvxhjiE814kG0Pvf1KEYPR5kQ9apLUa+6FG17yeHjQdYbVyey3hgMBhw4cAV9+4ZAYk9qWG5EQgGCfCUI8pUUSAqr0XF4mmBAZJwBUXF67DypRWS8AXojQ80AEkU1A6UIriJBTQclXBOjKKeWwQBo8w1K9+8DXhlC2bL5oHZtev6NHAmkpBT8348/8p9qBHYhZB02yMEDgBIpvvsu/T13Lvm9bNvGfz/9+uUJoVde4eVhLxIJYOJyPuRPojdzZoXbLkJWFo0S/vqL95wr53bewYM6XfDZ93VtF5HEswWrPJhMDBsPK7HtuBLjBnmgbwcnu+9AIRhjCLupwZ97FZCKgWlveaJV/eKjrmxNbLIB245n4diVbLRpIMfX431Qv0bBB0660oQD51TYd04FRwchBnZxxhdjvPMyfz9nUjKNePBUjwfPSPQ8fKYHY8gVPUNeckHd6lL4FM5JZafi6HRAenrBV/fuxSYClTsIUb+GQ4HziTGGNIUJUfEGPIkzICJah4MXVHiWYIAb3FDr6RXUSr2HgMw7gDnrx+Mn/IkgM3360IzC8OHAqVN53//1F+Woe+MNqyI7y8J+JlrK22/TlEatWvy33bkzTVcBNIXVtSv/fQAkhMy5d3iyTIgEAGc2CXl5keWpQQPaJr5RqYBly3jPWpyt4fBLTH1MGesNufzfaxmJTTbg2zVpEAiA3z/zRxUf+yi7MNceaLFydyZUag5jBrqjSzP5c58mYIzh9hMdth7Lwo2HWvTp4IyVswLg7yUu8Jtbj3TYc1aFC3c06NBYjs/f8ULjYIfnKtgUKhNZeZ7lWXuytRzqViXRE9reCVPe9ECgt9guuPPDGNV8fPaMBtfNmpW/rYwMSvq5aVNeOgsz775r1b1eIBDA210Mb3cxWjeQ535vNDHEJBkQGS5B1IYsnPaqDmAfAOCDuy0R8vZW1KrhiJrtayO4XS14e/BwvAMDKUHrN99QWpPu3Wkm48MPgY8+otqMb78NDBxI0bEVwC6ELOXOHduIIIAuhGHDKI0/YDsh1L49CRWBgLdCpQUsQgCJFFtYgwDyaXrpJd6b/XNvJhrUcbTcR+YfBmMM+8JU+GNXJob2dMWwXq4QlRQW/x/l4TM91uzPQHSiAaP6uaFPO6fnvo9MJippseV4FtIUJgzq7oJPRxYMyVdpOBy5mI29YSpodRwGdHLGpCEe8HS1vYBXa7lcn56H0Xo8iNYhVWFCcBCJns7N5Hh3oBuq+Uusckyu1Oh0ZLHPzq5YcMPhw8DWrSR8zC+Nhiwply9XbB09PIA//qCiytOmAffu5f1v7VqyrHToQPf/9u2pULWVIkUsEqBmoBQ1A4OB/hOQvXYlfoym/433v4vU2xmIfOaK83d0iNzFIBIJUMvDgJr1vBAc7ELTbAGSsgMxCiMSAV9+SelSbtwApk6l47FxI+VkGzaMgjZef51EUbdu5fLttAshS+nVy7btDx9OQsjDw3ZlI8RiUtFSKW9Zn4UCuoHnMniw7aaAbCCC7kfpcPyKGqu+sEHNqkpAusKEHzamIT7FiB+m+KFuNXum4Pw8SzJi/40aSA5Lx7Bebvh6vPdzTyaYreFw4LwKO05mwcVJiKEvuaJbCznE4rz1ePhMjz1ns3AqXI0mtR0w7lV3tG4oq7jgSE6mh3yhgqaMMTxNMODGQ12OpUeHuBQjqvlLEFJdiub1HPBmL1fUDJRAIi5jHRijunDt21NaBz4xmYCrV6n9rl3pQVheYmPpYXvrFnD7Nr0/eEB9nD1bsfXs1YvamT07ryg1QEKrf38qUJz/FRJi/fR/nz5Az55UIubLL8ni9OmnwKVLwJo1FGkLUH2+9u3zxFGLFtaVdRIIqMbjt+8DABp+9T7cnT1o/x05Au7wHCSdv4NIcQAivRrgWp0O2OZdH3GcG3y9xKgVKCVhVIXeq/iIyz6Pu3XLMxDUr08pNebOpQoD69dTFOvatWRFeustEkVW+BLZhZClvPyybds3182qVct21dQBmh6roBkxPyKRIM9ZGiDF/g8xgRtNDD9uTMd7r7gXCTt+YbCcncnDPgy7ocaiTeno3soRs98r5gFvK5+3wliR1bpCGAwWVwpPTjdi3QEFTl9Xo2GAFt9/5At311L8HMz14QCaxubBRy053YjtJ7Nw4LwKjYMdMONtLzSr6wDB9u1Apit0bTvi1H2GPWdUSEwzIrSYKbIKcfo0jajXrQNq1oRKw+FahBaX72lw5a4WRhND83oy1K8hRf9Ozqhd1cpwa5OJfB0XLKApjQMH6DywMu0CxzFo9Rx0esrDo0tMge7MBWjPXYY+/Ba0aj30cldo3TtDd/cCdEwEnXcAdHIXaPUMOj0HnYGBMcDNWQRPF2FOVBpFn3m4iODuIoJUICDRsHx5USfdXr0ogWu1avQy/92uHbkClIVAQAPE0FBg/34q4xIeTlNijRuT8Dp2LM9FQiwmMWQWRt26WRZAIxZTrrVhwyigZNgwEg0mE6U0uXCBkqFeuADs2EHLSKUkhtq3JyFl7UDWfF0EBQFjxkA4ZgwCTCYEXLmCjocPA4d/BrZcgk4gQXSNlojq8Coia7fH/qi6iIzXI1vDUCPXOVuC4CpS1KwiKRrAUfieKBSSC0bnzlSu6MABEkU//0w1EBs3poG5JZvAGGNl/+y/i1KphJubGxRJSXDl0TmrCFu3kmp/6SUKDbeQbH02nL+lG0vGJxlwd3IvfYGNG2lEYg5zryA/bU6Hv5cYb/Yq5Iy3cycQEWG7aTIz69cDiYlUS8tK8bDpsAKX7mix+CPfsv1AfvqJ5t9nzrS6H4p+OYC+ffuWHf0ybx49NBYuLLdIUWs5/Lo1A5fvaTHjbc8Cc/0A6KH+v/9RJu2NG20nhoxGuuGfP0+FWW0lhoxGuulv3043eLm8xJ/mT4bYu50Thr7kiAthh0s/Njod7a9vvqGoleXLgWvXyHpbDh4+02PLMSUu3NagRytHDO7hmpfVeedOxL43A3t7zcBhx7aoXtsdA3t6oXMzHkPfOQ749ltwX87GE88QXKnaFZdem4YHqRLUqyZFm4YytG4gR+0gSfn8o3Q6Gp1//z3w5AkMQgniXavjmUcwYj7+GoqAYBI0BlZAqJi/MwserZ6DRmuCkaPzUyIGZEITpNkKyNQKOBi1cDBqct7z/pYZNZC+1BWypg3hIBXQK2ffKVQc0rMoTD8ji8t5NyFbw+AsF5BAchLAIzMOnncvw+PZfXiItPDo3AIeSZHwiHsEz6g7kMZE0X785hsq+2ItjAH79tF9f906+s5opKz8ZmvU7dv0ioqixKi//mp9P6WRkkLFhc3C6PJlEny7dpW5qNXPnfR0KpVz+DBZ7wIDc6cEM7JMiIoz4EmcniLY4g14mmCAk1yQaz0yR7DVCJCUfR2kp9N+Xb8eyqdP4RYXB4VCAddiHMbN2C1ClmLLivAAPSiuXrV9Ft2rVymxH09CSCTK5yydn927acRpayH0448USTZ9ulWLxaUYsPmIEks/8S/7Zh8VlVfk05bWrhUryKQ9Zky5+7nzRIdv16SibnUHrPrCH65OhUZVej05UG7YQIVFbTUOSkyk0eipU8DYsTQi5VMIHT5MVlS1mszgFy7Qu9FY7M/VWg5bj2dh+wklOjZ1xB85lhWDwVB6P4wB771Ho/hjx6gkytChtD1WYDIxnL+twY6TWYhOMGBgF2dsmBuYO+o1mhgu/HkGe/aqEfHqDvR8uAuLq/2JmqNmAIFOZbRuOYqnSQj/+BdcyfTE5bcvQsSZ0Cb5El5vI0SLzlXKXSKEMQaFisOz03cQs2wLnqULEFP3c8S0CUaiSxA8NKmo6itGVUc/eMqF8HAVQJYjUPKLFZlUCKmE/icSmHDmzHH0D+0JR0dpwemTpCRgzx6yahw/TlYN87vRSFnbfdwtXn+9gZI4ZuSKJBdkdKyDjIexiLwViQyfpshwFSPDn0NWfQ5OMgE85AweQiE8/kjJsS6J4OEizPs753OxuY4EAmDAAJoWMyMW07RP/fp0jpnJyqJs/Xzj40PrMGAAfTYY8sr/8I2nJzBkCL0YI7GSg4eLCB4hogJFik0cQ1yKMTe0P+yGBuv2K5CcYUIVHzHlPcoRSMFVpPDzFOU5Z3t6AuPG0SsujixVZWAXQpWF4GCar8+fi8cWeHlRdmaepitEwkLO0mYSE6nCui158AC4eZPMolbAGMNPmzPweneXsusrMUajMbGYTK62YtcuEiYDBpDFoQwhxBgrEJVhMDKs3a/AvjAVJg/xwEutHYtGbWRmAoMGUe2u774j8cinsDPnvzp1CnjzTbqBr1vHb3ZxAIiMJJE1dCgJOgcH8hEYMqTIT/UGhj1ns7DpkBINg8uRDHHePOoDoAfFrl1WReFkZFFo+96zKjg7CvFqVxe83MYxd5oyMc2I/edUOHQyDR5xGgx8vB9zD74PuVFN+7KCU3AmjuFhtB6X72lx5WISHicL0FDQDK1xDUMffY0aUgUEbm5Ahi/gWKPM9owmhvgUI54lGhCTnPOeZEBMkhE6A0OQry+qvvoRqnkBPVgaqqmeIihhDxwjI4AajYExky1ed4MBcJQaIXMoJiu0nx8J7LFj6X524ADtKytyaeVHKhHA30tcdNox1A1AwwJTowYjQ2YWWZQKiicOzxINOZ/pf8psDjIHATxcKOt1AcGUMz3nme+z3EFQ9Lp1cXk+SUwlEl5D0ktEICgz671IKEA1Pwmq+UnQrUWeK4dayyEq3pAT3q9H+H0tIuP04BgoIWSu/xH9bel+swuhykJwML1HRdHcpq0wn4Dp6byc9EIh3WyLkJRE0Qn5mPJjEuaO84abM0/+OFu20EVl4TywmaOX1UjOMOKb3j5l/3jrVjLlLllC5lxbcOYMCYd27ShPRhkC9fiVbFy4rcEXY7wBAM8SDfh6dSqcZUIsn+kPP898y0dE0LmVkEBz/48eAZs3U398EhZGCdDee4+mkerVoxF6w4b89qNWk5gzZ0rv1YssnIWOjcFIyRDXHVQg0FuMryf4oEHNgj5A96N02HxEAUeTJ4r1iti0iZxbzahUJCL79y81MoUxhvtP9dh1KgthtzRo30iOz0fnhbYbTVT2Yl+YCncjdejmm455W95FPUkqBG3aAO/OBdq0Ib8NJ+utQelKE67e0+DyPS2u3tfCUSZAmwZyDBvogxaNXCGX1wFQVDTmR6EyISYpT+g8SzIiJsmAhFQj3F1EqOonho+7CA5SAaoHSODtJkJCmhE/TvHLZ1XyBlAPQG+rt8Eq3NxIGNuSfOJEIhbAx0MMHwtmRo2mPNGUkSuaOGRkmRD/RFfg+0wVB6lYAA9XIVqEyPDJcMtK5PyXcJQJ0bCWQ4HEpowxpGSYEBlPmbPvRFJaiZgkA1xk6lJay8MuhCyFK87swSNmIfTkiW2FkDc9PJGWxosQKtUi1KZN7kfGGO5G6vgNSd6yhcIqAyyP+FKoTPh9ewbmvOdd9lyzQgFMmULV4SdMqODKFiIlhR7qSiXlwQgOBvbuLdWRneMY1uxX4MA5FeaNIxF39oYaP2xIx7Derhj6kkvBaT6OI2Hy1ls05arVUgmOLl343ZaMDOojJgaYNYsiIJct478WGWPA+++TFdBMYiLtwxwhpNFy2HdOha3Hs+DnKSqSDJHjGC7e0eDvY1mITTZgYGdHyNSKon2dOweMHk3Wpu7d8xxdS8lhpdNzOHFVjV2ns5Cu5DCgszPWz/HIdcRPSDXiwDkVDl5QwdNNhAGdnPHlKHc4XYwAwveVu9yNycRwN0qHK3fJ0flZohFN6zigdQMZRvZzQ1Xf0nO6aLQc7kbpcPuxDref6BAZZ4BGxyHIV4KqfmL4eohRM5D+Vqo4xKYY8ShGjwfRNAqvEShB49oOGNjFpdKU8KgsiEXmvDxl/9bE0fRihtJksxnrfyMCgQC+nmL4eorRrlGef6DByHD3URp2/FB2G3YhZCH65HT+Qz/zk18I2RKzRSg1lZfmhMJiNKLJRNN8+W7sBiOV4pBJebpR3rtHuZ1++82qxX7fnomOTeVoWrcUn6/r14EqVSiJV0oKFZLlu+7Yzz8D8fHk6+LqSu+eniX+XKPj8N06CoP/bYY/vNxFWLUnEwfOqfDV+95oVtz2rFxJD/Rz58hn4vhx8j/gE7MPTUwMfRYK6RyzxcDhl1/IuRsAWrWiqbDXXweCg6FQmbDrtAo7T2UhpIYUX4zxQpPaeftEb2A4djkbW44pwQAM7emKl9s4QQAjDhwo5O+jUpHP3vbtJILKsMrEpxqx50wWDl3IRs1ACYb1dkOnpnKIRWT9OXNdjf3nyPrTvaUjvpngg7rVpHnipBwRqTo9h6v3tThzXY0LtzVwdxGhTUM53h3ojqZ1HEpNAaBQmXDniQ63HtMrMk6P6gES1K/hgJYhMrQKkSE9y4Sn8QbcfqKDSq1BNX+K6KkZKEWX5o6oESiBr4foxdak+pchEgpyC8XaqTgSsQC1qlg2tWwXQhZy63YmetS1YQdubmSteV5CKC2Nl+ZEQlLeBUhLowdhPh8hrZ6DWEQjpAphMFDY6aFD9NAdNMjiRcMjtLhyX4M1X5YxxbVjBzl6h4VRBF9Fsr4Wh0JBRW8VCopwunKlVIe+lAwjZi1LQYCXGD9P84PRBMz6LQUKFYffP/WHr2cxl3FiImWbNePgADx8yL8QWrEiLwzX1xcYMQIYNarYlP4V4uxZCsX+4QcSPzVqAKB9s3VbBg6eV6FNQzl++LBgba0sNYc9Z7Kw4xTV6Br7mjvaN8rLFl2sr7SzM4ngUuA4hiv3tdh1Kgu3n+jwUmsnLJrqm3vjTUgl35+DF1TwyrH+zH7PG47WJpTLh1rL4eIdDc7e0ODyXQ2qB0jQpZkj3u7rhiDfkn3dUjKMuaLn9mMd4lIMqO4vgY+HCP6eIrg4OiA2maxVgT5k/akRIMGAzi6oGZiT58WegNPOvxi7ELKQC/f16GHrToKDqfKuLck/NcYDIqGgYNSY0UgPYaCARUirY/xYgzQaSgrp4gJ06kTTIm5uZUb16fQcFm9Ox6TBHnApKzLmyJG8bK86HU3F8FlA9vffSQQBtD1TppD1wc2tyE/vP9Xhy+Wp6NPeCaP7uyEq3oAvV6SiaR0HzB3nU/JUxEcf5fXRuDGlFwgN5W8bALLIzZhBYvSddyihm62KYzZvXiCpXUySAX8fVeLUNTV6tHLCss/8USWfGEhMM2LbiSwcvqBCixAZ5o0r6iNUHpTZJhy6kI09Z1UQCYFXurhgVk5dL7P1Z1+YCveiqOjptxN9K5TEUpltwvlbJH6uP9CibjWyyEwY5F6sAGaMITbZiNu5wkeLjCwOVXzFkEkFMBg5mEwkEL3dRQjwoYy/NQMlqOZvQWiyHTv/QuxCyEIuxMqKROrwTu3aFHljS3ieGhMVdpaeN48yjAIk6rZuBYYMgdbA+MnYq9GQ+FEqKTRy+nTKWVQG6w8qEeQrRveWZSSTTE8nC01++Mz0rVYDixbR3y4ulMZg8uRiHaRPXM3GT5vT8eEbnujZxgknr2Zj8eZ0vPuKOwZ2di75XDx0iJyue/YkAdSrl23C/lNSyIJpFte2JMff6OEzPTYdViA8Qov+HZ2x5ssAeOcr3vkoRo+/j1KOnp5tnPD7Z/6lWkss5VGMHrtPZ+FkuBotQmT4aJgnWtQj5+f4VCP+OqLEwQsq+LiL0b+TM+aMLb/1J11hQthNNc7e0ODOEx0a13ZAl+aOmDbcs8i0iYljiIoz5Fh8tLj9RAejEQjyFUMiFkAkJoddB4kATevI0LSOA+rXdHhhBVnt2KmM2IWQhehMAkTGGRAcZMMSBcHB9ACzIkOuVcTG0gPF0ZGiulatqlDOGgAQigQFU6rUqpWXo+jTT3MrB2t1DHIHnixCZvz9qcZOGev/JFaP3Wey8MfnAWUL2RMn8nLrLFxItXv4FBF//kkC4q23qP1iItE4jmHdAQqFXzDZF/WqSbFsRwaOX1Fj/kRfNAouxbKh15NP0LVr5Q4ltpju3W3bfg6MMdx4qMOmw0o8jtVjUHcXTBvulWvZY4zh6n0t/j6qxONYA17tWjBHT3kxGMnCs+t0FmKTjejX0Rl//i8Afp7iHOuPBvvCVIh4qkP3Clp/EtOMJH6ua/AoRo+WITK83MYRX77nXcSCGZdiwKU7Wly9r8HtJzrIpEJU8RFDLAJcHIWITzFCIAAaBTugaR1XNKrlYH2NJzt2/kPYhZCFiMHh/G2N7YWQyUQF+cyf+UQgoLTwOh1lSu7WjZLrVQCREAVLbLRqlfd3SEhuhJJWz/EzNZY/sdiaNZQUrBRMHMOiTekY2dfNstIER45QPpJ164A33qjYuhZGr6fEfCdOlCgitHoOC9amIS7FiF9n+EMmFeDTpcnQGRiWfeZfdikQqZSscv8COI7h/C0NNh9RIk1hwtCerpg33ju3zIPByHDyaja2HMuCRs8w5CUXfD3ByboyEMWQkmHE3jAV9oep4O8lxitdXdCtBWV2jksx4I9dmTh0UQVfdzH6dXLGV++Xz/oTk2TA2RskfmKSDWjbUI7XujmjbUN5AeFiMDLcfqzDxTsaXLqrQbrShJqBEjhIhfB2EyEuxQh/LxEaB8vQtC6FFhebxM+OnX8KOh1l3q5fH6hb1+YleuxCyEIMnABnrqvxdmhRPw5eWLmSnIAByovzyitUnoBPqlShuiwHDtDndu0q3KRIKChYdDUkhCxOajWFOudYU3R6Bge+fIQAqmnWu+z8JHvOqGA0MQzqZkFiLcZoWswWIeYAWfp27y4xSV5KphH/W5YKHw8RfvnYDzHJRkxdkYK2DeWYNMSj7OKW/xKMJoYTV7Kx+WgWwBje7OWKl1o75TraZ2s47AtTYfvJLHi7i/B2Xzd0aiavUAFSxhiuP9Bi1+ksXL2vRZfmjpg/0Qf1qjtAb2A4d1ONA+ezEfG0/L4/jDFExuWInxsapGaa0KGJHCP6uqJ1fXkB/5w0hQmXcoTP1ftauDgJ4e4sAsdR+QlAgJDqUjR72RUNakrtwseO7TGZ6P7Ld1qM4nBwINeBli3pc5MmFLTSvDm9N2vGa7UHuxCykCbZD3AnxhVpSSp4+dngRGjfnrKkAlQB+dNP+e8DoKkwHoWQsLBFSCSiRHBXrlD0UA4aHavwSJ0a0pDz77fflvnTlAwjVu/NxA9T/CyLelEqKTzbkiKK5cHJqcQpzwfROnyxLBW92zlhzAA3HLuixtIt6ZjwugdCOzyHG08lQKvncOBcNrYcV8LTVYR3B7ihQ5O8CK+UTCN2nMjCvnNUpHTWaC80qe1QIb89ZTaHa099sOPbFBiMwMAuLvj4LU+4OYvwJFaPpVvSceyKGlV8xAjt4Iy573tbNc3EGENUvAEnw9U4fU2NbA2HTk0dMeF1dzSrK8sVdyaO4V5UjtXnjgbRCQZ4u4tgMDIYjAx+HmI0reuApnVkduFj58UgFFKU6Pz5QJAf8FrO94sWAVVqUJ3MQkl0K0SvXpS6pH9/Cl4xB7CMGwcsXsxfP7ALIYtpdXMXnnWoi4uPfdHPFpUjGjakpG1mkcJ3mLOZAQPIuTU1lSeLEApahABS8TVrFsiLo9PzFDXGGIkVC0YDv2zJQGgHZ8tH7m5uxUZu2ZpT4dlYtCkdk4d6okcrR/y6LQNhNzT47gNf1K9R8Uinyo5KzWHX6SzsOJmF4CApZrztheZ18wROVLweW45l4cx1Nbq1cMSST/xRo6zSKKXAGMOdJzrsDVMh7IYGge7OGPeaK9o2doZGR9NtB85nIzHNiJfbOGHxR77WleUAZfs+Ga7GqfBsKFQcOTu/5YlGtR1yLVdZag5X7qlx8Y4Gl+9qIRQAzo5CpClM8PEQoUMTR7RpKEfDWlJ+BhFlYDAypClM0BtIfJk4+s5oZDCYGIwmwGhkMJoYDEbAyOX8z0hWPGPOb8zLGDn6vYkD3JyF8HEXUUZmdxG83UVwcxbaNvjkvwRj5C959iwVA/bwoPuv+b1+/Yq7WggElE4kJAQYkc9t4IeFQPfelDqDb7p1oxxroaFUsgfIK+I8cCBv/pt2IWQhzePPY73UBedvqdGvo41G6NOnkxASCGxXc0wqpdpPu3fzVGJDgMI6CK1akRDKh1ZPNXcqTIcOFp38Z2+o8ThGj89HVd409YwxrDugxJ6zWfh2ki8CvMWY9nMyhAJg2Uz/Cjv7VnbSFCZsO67EvnMqtAyR4dtJNBUF0L659kCLLUeVuP9Uj/6dnLFuTmDZPlKlkKXmcPRSNvaGqaDRcujb0RmrZjnj0rlrkElrYeH6dJy9oUbjYAe8+bIrOjSRWzUdGZdiwKlwNU6Gq5GaaUKnZnJMHuqJZnUcIBIJcq1DF+9ocPGOBg+i9fB2F4ExSpjZONgB7RrL0a6RnJdIt5L2QXwKlcqITzEiPo3eE1KNSMkwwUkuhINUAIkIEIsFkIgEEIkoOZ1YJKBINBEgEQly/k+/E4sEEOf7nVQigGPO8kIhkKnicOeJDimZaqRkmpCSQcVxvd3FOQJJlCOQxPDO+ezhzFBc9Z5/LLGxZNVwdibrcOF3JyeyupQHgSCv7trMmQWLAjdsSAWD+aJvX+DUSWBn67zv9u2jAJDJk4GuXfkNMOnYkda/d29K1XH+PPDqq1S54OuvKTq2gv3ZhZCFBCqfwU1qQniEFjo9x08oeGG6diVrSlpaqaUWKsyYMRQ1xgPFWoT69SuShVvLl0XIghNepeHwy98ZmDbcs9JGy+j0HL5fn47oRAN+ne6PDKUJ4xckoktzR4wf5F7xxJOVmLgUA7YczcLxq9no0twRv073RzV/evCbTAynr6vx91ElFNkcBvdwwZcVSERIpV302H9OhTPX1WhWV4Zxr7qjdUMZFFkcDpxXYkdYfThcVaBvB2es/l9A8QkqSyAxzYhT19Q4Fa5GXIoBnZo6Yuyr7mgZQtNeegPD1Qgtzt8k8aPRcfBwFUGRzcFJTiHt7RrJ0TJEBiceQtpNHNVdik/NEzjxqTnvKQZo9Qz+XmIEeIsR6C1GNT8J2jWUI8CbvqtIwkdrYIxBmc0hJcOElEwTUjONSMk04VGMHhduk1BKzjBBZ2iGvy4n5dT2yhFJ5lfOZy830T/Df65KFcq4P3x40Wryw4ZRgEZ5hRBA98bp08nS/8YbVF8QoOLU48ZRrq9+/SpcyBcAEJJvxqJpU6BTD7JIbd9OrguTJ9N2lqNWXrG0aUNBJkol1RjcsIGSnvbqRf6c33xDeeXKiV0IWYgAQNvaQpyPF+H6Ax3aNZaXuYz1neScyGvW8N92fho1Aj74gJemKKFioS89ilYj1Op5yiNkAat2Z6JJHYcCdWcqE6k5TtFe7iIsmeaHE+FqLNuRgQ+HeuLltjzdOCohT2L12HREict3NOjTwRl/fpEnOjQ6DgfPZ2PbCSWc5UK88bIrurZwLLcgVKk5HL2cjf1hKijVHPp2cMLq/wXAy02Ei3c1mL0iFdceaNGuoQO6N4jF+8M7wcHBsgdESqYRp3PET1S8Ae0by/F2qCtaNyCHZ42Oy0mCqMb5Wxo4y4WQSqi0RfUACdrnWH3qVpOWu0SFwcjwJFaP+0/1iE4wICHHspOYZoSjTJgrdAK8xWhVX5b72cdDVCGncr4QCARwcxbBzVmE2lWL/41er8euPYfRvM1LyFQJkJpJoikmyYBrD7RIzRFRKg0HdxchqvlJ0KiWAxrVdkDDmg75ir9aQXo68OGHVPfPwYFeUim916pFhXjLmzVdIADGj6cH9ptvAnfv5v1PpaIM7f37V3wQ3Lkz+Zm+9RZlyJ8+nUTWnj2UR274cBJFfKXXGDkKeG8C8OWXwN9/U4HqcePIz3XMGGDiRH4ioPOv7zvv0PatWkVRsp07U0LXr7/Oc7C2ArsQshSZDC07+OPSDkrWZhMhBFD5AJ6sNaXCg38QYK4+X/bvtDoGOV91xkohXWnC4YvZ2PCVjSrFV5CHz/T4YlkKerZxwshQV/y2PRNX7mmwaKof6lS1YWqGF8itx1psPkxTXK92dcaHcwPh5kxTXBlZJuw6lYXdZ1SoU1WKacO9chMVWgtjDBFP9dgbpsLpa2o0qe2A0QPd0K6hHPGpRuw6o8KRiyp4uIoQ2t4ZM972hFzK4cCBrDIFSbrShLPX1TgZno2Hzwxo01CGIS+5om0jGWRSIZTZJpwKz8aZGxpcvaeBa06EF8cY6laXon0jOdo2kpdrao8xhqR0E+5H6XDvqR73o3R4HGuAl5sI9WtIUauKBM3qyXKFT5mZ018UjFHkpIUWCYFAAAcJhxoBEkjyBxkkJpLDbno6YDJBYxIhJdkZT6N8ced+Q6yp2RmRCUZU9ZWgYbADGgc7oFGwA/w8RWWfV56ewPr1JBw++IByfplp25aSuFa0fEyjRhRMMm0aZZmvX5/qG+7dS9Nkr75KD/mePcufT87Xl3xr5s6lpKrz5lGtwTVryOH5l1/IkmMWFBVxkxg2jN5lMgqQGTkSuHSJBNGSJeTY3LcvWYl69aqY1Ss/UikVw37nHao5uWABuWUMGkTb3bChxU0JGLPXuS0NpVIJNzc3KAYNgnD9Vgz6NBauzkJsnV/Fdo5+RqPFeROy9dlw/pZ8ljI+yYC7k7tt1qkETl1T49AFFRZMKv1CWrolHR6uIgzvY1tn5H1hKpy/RYkHKwsGgwEHDhyAS2B3/PSXApOGeKBliAxz/kiF3EGIL8Z45QqDfwuMMVx/qMO6/QrEpRgxtKcL+nd0zp2qjEsxYOuxLBy9nI0OTeR4o6drgRphVnSEbJUBx67rsC9MhcwsDqEdnNC3gzPcnIU4c53C3iPj9OjRygn9OjqjTlVJ7rVrPjZ9+/Yt+LAFWXDO3tDgVHg27kXp0bKOBN3CN6DDbx9DLiOn5rCbFA1254kOrk5CqLUMrs5CdGpCwqdpHZnVZSuyNRwenIrA/Qgl7smCEfFUB72RIaS6A+rXlKJBDQeE1JDCvaI+ZBxHmeyPHKHRPF+FhRUK8nV89gyIjs57JSTQ923bWtRMaccGcXHApEnk65ifKVOATz+FxtMPEU/1uBOpw50nOtyL1EEuE5LFKEcYBVeRlB5N+vQpPdTPnqWagFotibkGDSjFyZAh9LCtyHNg506y2ixaRLUNN22ibPzp6RTUMmQICY2OHfkTEJmZwJYtJIouXKBnTb9+JCj69rVIqFr83ElMJOG1bBkd/zp1SBCNGsV/YEpWFuXH++EH+nv4cCinTYNb8+ZQKBRwLUXA2oVQGeQKoXv34Fq/Pj74IRHPEo1Y+GHFaggVwWSiCt45xSQtxWohxHFU9byUIp/WYK6t9P0HhYSHRkM3jpxpsh82pKFGoASDe/BcjDMhgfJN5OS2+OzXZHRt7sh/yPmDB3Th5qufZil6vR5zll5DRGIQ5o7zAWMMX61MRa+2Tnh3oHvBm/GdO3Qu8FnbrDhu3qR916cPr80yxnD1rhrrD6uQnG7EsAYKhBqvQTqKIkoePtPjryNKXL6nQZ92Thj8kqtliS6L6edBtA77Fp3EKWEDNPLRoz93De1mDsHjWAMOns/GifBs1A6SIrSDM7o0lxcbeVX4YatScwi7SdNeNx/p0KyuA7q3dEQHXwWc33gV8dEKhI2Yi1P+3fAkVg8XRyGysjnUrko1wNo3lqOqn9jiQZKJY3gab8D9HEvP/UgtYpP0qJF6H/Ulqag/8VU0CJYjyFfMT6V3c66sv/+mh2FsLIU8nz9fbJbzcnP2LPlwHD+e951cTglFLcxIXqoQAmhbtm+nB2thK/rSpSSUcjDv5ztPdLgTqcPtJzpkZXNoUDNPGDWoIS3qU2gyAT/+SM7AW7YAu3aRUDl1iu6l06cD339v2T4pCZ2Opt7M6PWUy2zzZuovO5um0jZvrlg/xRERAaxdSxaw+HgKRjl3rszFrH7u6PUk+pYsofaDgkho8iW+85OeTmLo55+hNJngptOVKYTsU2OWUqUKAKB1AzlU6mxcuK3hVwhNmkRzxElJtqkLZWbWLFLNWVm8ZOsUiQrVGjMzdy7w88+UWBGARs9THqHCzJpFtbXi4pCtZbj5UIfPRvIcKWY0kvlYpwNu37bq+Oj0HL5bl4lHiR746SNPXH+ox6o9mfj4LU90a1nIH+jOHXpIBAVRiQw+zwO9nkZ65jDbDz+k0RlPpmrGGC7f02L9rlSkxSsw/DV/9N73PSQjfwKrUQNXmr2Cv06pERlnwKBuLpjypke5rGBqLYfjVyjyKz0mE6HhJ/GH4wo4XjiFY61GYTzrBIUG6N3OCcs+LViItSSMJgFZfq5l4up9LRrWIvHz+Wgq4/H0+C3s+HwbTgXPR3zz6nDOUEGp16NRbQd0a+GITk0d4WnhlJcy24Sbj3Qkep7q8eCZHi5yIerXlKK+JhK9d32DuneOQmbU0nTF4j6AL4+Dh9RUStwaHZ17bYIx/qwNZjp3pkif/IKofv0i0aQVQiAgy8xLL5EguXqVnGgPHqSw63yIhAIEB0kRHCTFK10puWpyujHXYrR8RwaiEw2oESDJnUprGOwAH3cxFRZ+/XUaBI0fT6+UFBIpjRtXfDscCqXIkErJQtOvH4mgvXvzakTyTUgI5WT7+ms6XvlLGPGJVEoO3G+8QdOADx/aRgQBNL05fz5ZB/fvt6h6gl0IWUqO4axVfRn2nMnChdsajOrHo2mvfXvyhr9/33YJ/QC6cLVa4NEjXnIViQTFOEsXg07PU62x/DBGN70ePQCBAJfvqlGvOg9TBoX5+WcSJjt2WCVO0hQm/G95CtycBBjU6hE2HvbE3SgDfp7ml5eXJjmZHnh37tB2yGTAtm38iiCTiUz8f/xBN/FNmygvR0WjVEAC6OIdLdYdUECZZcSIq0vw8t2/Id5lhDEpBccnLMFffgOh3p6FoS+54JtylsB4+EyPfWEqnLiajfo1pBgRtw3tlk/DnYA2WNlgGC68+wNaNnDEmM5uaNtQXmYCTRNH9cuOXMzC6WuNUatKNnq2ccbUYZ5wdxbiQTRZrk6dTUVmlhTyaq9AJXVFy5iz6JZ8Bu0WjIXry2VHqegNDHcjdbgWocXVCC0i4/QIqe6AhrWkeK2bC+rXlNLD9vJlYPNfQPsgoOVwEt16PUWQ8pDmIhcfH/KrmDCBLBo3b9LUjIsFmdfLQ35BdOCA1RZvi/DwoMz8587RVJWFRZJ9PcXo4SlGj1Y0IMnWcLgXpcPdSJpm/X5DOtydhWQxquWLxnI9qvtLyDLn45OXANeWODmRNcjWiEQWZernhebNbV8HEQD8/Ego24UQj8TEAG5uqFdNCr2B4WmiHqmZxgKVrytE1670fvq0bYVQs2b0fuMGP0JIZKmzNAcHK30lyuTGDZqDDg0FAITd1KBTMx6d2C9fphvel18Cr71GLwt5FKPHF7+noEcrR4R2kGHGT7VRI4jD75/65zmzMkYRHLNmAUOH0qjp5En+a8wtWEBTIZcu0Xm8YAGNoCsgghijOmDrDiig1jKM6OWEl+YOg/jIQWjEcuzpMB5bh38AN085hr/sgs7NHC3L7p0PjZbDiXA19p1VITnDiD7tnbHiMz/IZs/E4YtqjHmTcqP0u7cZk7xvwHPsr6X6N9B0mh7Hr6px8mo2nORCdG8pw7D2EXhj0EuIiOaw4aACp6+poTcySIx6aLRAe2Ekuvgno20tAeSDqwLVZgJViw91MucKCo/QIvy+Frce6+DvJUbL+jKM6ueGprVLKIDapg29nidC4fN7KHXuTC9b0rFjhRZ3kgvRuoEcrRvQPcRkYngSZ8Dtx1pcf6jD+oNK6PQcGpr9jGqRr9bzioa1YzvsQshS7t4FGjWCSCRAixAZYpONuHhHi/6dePJFqVGD5upPnaLRmq2oW5dMsTdu5Hn7VwAKny/bzUyrZ/wkVDRz7RpNiQkEQO/e0BsYLt3VYOyr7vy0n5ZGWbgbNKApxCVLLF70zHU1ftiQhomDPeDnKcaURamo56vAV2NrwSF/aYTDh2m0fOIEEBBAx752bX7W30xYGAk5gObkV62ikNZywnEMYTc1WH9QAb2BYUQfN/RoKYfo3dHIOHsZu1p/jN2NRqJeyi1M976M5tOHWh1UEJNkwO4zKhy+qEK9alK80csV7RvJcPuRFiu+PIHL3Fi0b3IPHwfcRbM2/hDO/4yKCZfQT2yyAccuZ+PEVTU0OoYerRwxf6IvgquIcfuxBmt2+GLnF0lgTACBgMFkAjo1k6NLc2+0DJFBKik9uWlqpjFX+IQ/0EIAoEWIDD1aOeKTEZ78DZbsPFdEIgHqVpOibjUpXu9BIjcxzYTbT3S4+0SHn69kIC7FgNpB0lw/o0bBDv/6RKj/RuxXqKXcuZNbjbxVfTniU7Jw/paaPyEE0Lz2wYNkKbCVn5BYTNNjN27w0pxQWDCJaUlo+fYReuklMok3agQ8eoTrYgECvcXlcrwtlmPHaNoqOZmsdZcukUWolOPCGMPGQ0rsPJWFr8d748EzA37fnoqPh7khMza8oLMrxwGffZb3t6cnHRM+hVBaGold89ylSER+DaGhJLysgOMYzlxXY/1BJTiOYUSoG7q1dIRIKEDczO+wNaoujo6YiY6Sp/ixXRKCBw60KirExDFcuqPBrtMq3H+qQ++2Tvh1hj+cZUIcuqDCmHkZEIGhX69GmPpyANxdQkrfdIUJJ8OzcfwyJTrs0sIRHw3zROPaUjyOMeDYZRU+u0yWH6PRAzIHoHtLObo0d0KTOg6l5i/SaDncfKTD1QgtwiO0SEo3okltB7QMkWFYb1fUCJDYLqLUzgtDIBDkJp7slZPvS5ltwr1Iik7bdiIL36xOQ40ACbq2cETXFo4I9LY/Yv8J2I+SpeRLftWqvgy/b89ATJKBSkfw9YDv1o08+B88ICc2W9GsGYWd8iC4RELAlD/wkDF6wEdH0wN4yRKgeXNo9bX4ySxtRq2mMFAA+PJLhI3+G52a8ZiN+9ChvL/v3SNn+VL2ld7A8MOGNDyONeDHKb7YcEiJRzF6LPnEDwFewIHYQgts3kz+GQD5Z7zxRu4UHy8wRpaf2Fg63iNHkiiyMurNxDGcCldjwyElhALg7b5u6NKMCqE+iNbhr10JuJI1BH3eEWPVK4Hw97LuvFWoTDh4IRt7zmTBQSrEq12d8eW7Xrj/VI9VuzNx5b4WHRrLMf1tLzStU3p+IZWGw9kbapy4osbdSB3aNJRheB9XtG4gQ0ySEcevZuOb1alQaxkYGJxlQvRpJ4dYE4HRb3YtMaGiycTw4Jke4ffJzyfiqQ7BQVK0DJFhyhseaFDTweoQeTv/DlydRFQWJSevnN7AcOWeBqevqbHpkAKBPuJcUVTFxzZlU+xUHLsQspQ7d3L/9Pei1O4CARAeoUXHJjw9gM1+QqdO2V4IrVxJ3vvx8ZTNtJwIhQJw+S1CAgEJlL//ps/TpgGpqdDtz+J3aswccSCXw7RsBc7/oSkawl9eGMsTQvXqkZNnrVql/Jxh3p+pMBgYfvrYFwvWpgEAfpvhDye5EAaDoeACOh3wxReULG3iRPrb25ufdTezbRtNg968CTRpYvXiJhPDiatqbDikgFQiwOj+bujUVA6BALhyT4u/jirxNN6A17p5YOq7zlZHgD18psfu01k4dU2NVvVlmD7CC0G+Yhy+mI33v02ERCxA/07OuZXgS8I8JXr8SjYu36WIr5daO2L2WG+kZppw8mo2lm7NgELFgYHBw1WEwR2c0KW5E4KDJDAajThwQF0kND0zy4SLdzS4cFuDaw+0cHMWoWU9GV7v7oLm9XwqRdJCo4lBqeKQqTJBoeKgUJmQqeKgUHHQ5PjkyRyEkEkFkDkIICv8WSqATCrM/Z+DVMBPiP5/GKlEgI5NHdGxqSOJovsanLmmxvgFiQjwFqNb8xxRZKNacnbKh10IWcrjxxRaKCfl37q+DE/iDLhwW8OfEKpRg3wdTp8mJ1qDoUAFd1749lvKUQFQpNrixRVqzlEmQJa6kLf0gAGURAsgcefqCq1OAQc+LUJmITRvHu4LqkDmkIZaVXi6udy6RU7YXbtSpFgZx+Cvo1lISDVi6XQ/rN6rgELFYdFU35KdKP/4g/J1fP01v+HE+TEnfLMSk4nh2JVsbDykhNxBgPdfdUf7xnJwDDhxVY2/jiqh0TEM7emCbyc6WeUoajDS9Nqu01mISzaiXydnrJrlj+gkI3acykJ4hBadmsjx6UgvNKldsvXHxDHcfKTDiSvZOHNdjSq+EvRs7YgPhnpCq+NwMlyNCQsSkZJhhFAogKNMgEE9nNGztVOpVeRjkgw4d0uDC7c0ePhMj6Z1HNC+iRzjB3kg4DlNcZiLomaqOCiyTFBkc8jMIpGjyCd6MrNMUGnI787dWZhTrkII95x3uYMAOj2DMtsIrZ7RS8flvDNoDXmfdTn/B5AjnkgUebqKUDtIiuAgCWoHSVErUFJpa/dVRqQSATo2cUTHJiSKwiO0OH1NjfHfJSLAK89SZKsCu3Ysxy6ELIUxmiJp0QIQCNCqvhzXH+oQc1sDjmMVH0kZjZTls00byrnRqRMl8OJbCI0cSXk9AArPzcmPVF6q+UmQpeGQkmmkMGCA/HfkchKOAwaAMQaNnkHOp4+QSEQ1ZaZMwdndWTnWCp6E1qFDwIgRZDUrnOOjENceaPH3USV+ne6HE1coy/BvM/xLFwivvEJJ4GyJlfvCaGI4cjEbGw8r4eooxITXPdCukQxaHcPOU1nYeiIL7s4ijAh1Q+dmcqvqVaVkGrHvrAr7zqng7ynGq11d0LCWFMevqDH1p2TIpQL06+SMT4aXbP1hjOFxbJ7Ts9xBgJdaO+G3T/0hFglw6poa039JRlyKgSqkC6nNnm2cEFJdWuy5YeKoIGvYg0Bsv54MZTZD24YyDOrugtYNZDYtQKrTc4hONCIqXo+oeEPuKzPLBH8vMTxcSNCYxU2NQAncnUVwdRLAxVEEJ7kAjjIhhEIBTCYGgwkwGhkMRgYTR6LTaGQw5vtb5iCAr6cYvh6iItP5HMegM7BcYaTRcUjNNOFJrAG3H+uw61QWYpONCPAWo3aQFLWDJAiuKkXtIGm5yob815BKBGjfWI72jeXQGzxxLUKL09fVmPhdIvy8xOiaYymq6mcXRQXYt4/u9d27U2oRG2EXQtawcydlFV2wAE3rOCAuxQhXRwEePtMjpEbpD8wyEYsp5fm2bfQ5JSU3WzKvVKlC0zFmS1AFM0yLRALUryHF3Ug9urXIOZ3kcqqTs3cv0L8/jCZyF+J1akwmA1atAhOJEHZTg89G8igYW7SgJGpliImUDCO++TMV09/2RKrChGU7MrBoql/ZyfVKCL1+ERiMDIcvZmPTYQU8XET48A0PtGkgQ6aKw+p9Cuw5o0JIdSk+fdsLzepaXgOMMYZbj3XYdVqFy3c16NLcEfPe94Yym2HfORUW/5WOzk3lmPWOFxoFl9yuMtuEY5fVOHhBhXSlCS+1csLX473h6SrEmesazF2ViugEAxwkAphMwEutHfFyG2c0qeNQrFjT6DiE39fi/G0NLt7WQC4TwN9JgClvuKFZXSerQ/zLwmRiiE02IirBgKfxekTGGfA0wYCEVCP8vMSoGSBBzSoS9GnnhEAfMYRCICXDhIRUIxLSTEhMM+J+lB5J6UboDAzGfNPQIiEgEQsgFtG7SCSARASIxQJIRAKIROb/02/UOqpMn640wcVRCF8PquDu6yHKFUg+HiL4eohR1U+CmoHS3FByANDqOUTFGfA4Vo/HsQacv61AZJwBcpkgx3JEAql2kBRVfMWVorhrZUQqEeT6FRmMnrmWoknfJ8LXM89SVK2yiqInTwCP51QcuksXmrmIjgZefplmG/r1oxxBPGIXQtbwzTfA6NEAALlMiAY1pRCLgAu3NRUXQgBNW23fTrV6ANslOfvsM0reqFZX2CIEAI1qOeBupA7dWuSbIuzfny6YWrWgVXMQCVHuSuLFMnMm0LQpouL00Oo4NKjFw/438/LLZf7EYKQyGaEdnFEzUIrJ3ydi+tte5auX9QLQGxgOXlBh82ElfD3F+PgtT7QMkUGZzeHXrRk4eCEbHZvK8eMUXwQHWb5NGh2H41fU2HUqCyoth1e6uGBEHxecvaHBVyvT4CQXon8nKnjq6lS8YOQ4qlN24LwKF25r0LyuDO/0c0Pd6lKcv6XBki0ZePhMD0eZAFodQ8cmcrzc1hmt6ssgERc9x9IVJly4o8G5m2rceKhDrSoSdGgsx6KP/BDoxXDw4FU0qd20QiLIXBj1abwBUQkGRMXpEZVgwLNEA1ydRKgRIEF1fzHq15SiRYgDAKqmnpBmRPh9LfaHqaBQcfB2F8HfS5wbnVS3miMCvETw8xRD5kACR5wjfsprATUYGVIzTUjOMCIlw4TkdCOS0oy4/ViL5AwTUjJMyNZw8HAVwc8zTywFeovRtK4M/Ts55/Zt4hjiUox4EkPi6MjFbPwWm4FsDUOtKiSKmtV1QLtGcvu0WjFIxAK0ayRHu0Ykiq49IFH0wcIk+LiL8kSRfyUSRWIxFe0envN540agXWdKZsl3tmhXVxpQt2lDEa+7dtEAtUMHCiziKeeaXQhZS77RfKv6Mtx4qMOF2xqMHuBe8bZ9falK8Icf0mcnG6luX19KP75wIS9ZaxvWcsDqfYqCX/bvD0RFAaCRJK/WICB3ainspgYdmlg3VcMHv2/PgEwqwNCeLpiyKBmv96CkgZUdvYFh/zkVNh9RItBbjBkjvdC8rgMMRuDvo1nYfESJDk3kWPVFgFWpCGKTc3L/XFChXnUHjOznCoFAgIPnVdhwUIEuzR3xv3e90bBW8dNUAJCUbsShC9k4dEEFiViA0A7OeG+gOx4802PXaRVuPdLCUS6EWsOhZX0Zerd1QrvGRWuIMcYQnWjE+ZtqnL+tQWScAc3qOqBjU0d8MtyrgMWuiCO7hZhMDI9i9Lj9RIdbj6lMg9HIUCNQgpoBEgTkpHKoX0OKuBQj4lIMuP5QC2e5EAFeYvjnCJ1mdRzg384JAd5i+HqIn0v0mUScFwZeEhoth+SMfGIpw4hbj3VYu18BkUiAliEytAyRoUWIDNX8JKjmJ0H3VnnLpytMeBKnx6OcY7dwYzraNJChWwtHtG0kh9zBLooKIxEL0LahHG0bymF8i+FahBZnrqvx4Y9J8HLLEUXNHVE9oBRRdOMGMGcOpeFo0oRe9euXOcVvFdWrA3v3AX/llBeZ/gmg1FK6jE2bqHArn9SqRb6aPXuS3yxjlDyzlAAWa7ELIWvJJ4RaN5Bj12kVVGoaVfl68rA7J0wgZ9rHj21XiwUAPvmE6rDwUGOoQU0HRMbpC6YSCAwEpk4FAGh1NqgzlrNvwm6oMWagO79tl8Gxy9k4d1ODXz/1w7dr0lAnSIK3evNcTJZnTCaGPWdV2HRYiap+Ysx6xwtN68rAcRQdtnJ3Jqr4iPHjFF+LrVomjuHKXe3/2Tvv8CjKtov/Zvtudjc9IQm9996rSC8CKogCCgiIBRG7oqKIBUSxoWAHVAQRBAVEeheQ3nsnvW3vO98fDwRCOgRf3/fjXFcISXZ3dmdn5zlz3+c+h8UbbBw67aFLixDefSKG3cfcTF+QjdmgoFdbI+OHRWEsYMrK65PZul8kxB867aF9IwMvD4tEp5FYtsXOyLeTUCrFMVSnspauLUNo18CQ5/ECAZmDpzxs2e9i6wEXTleQlvX0PNDVTOOaupteeD3eIEfPetl/UhCfw2c8hBoV1KuipU4lLY1r6sjI9nPsnI/1u8UUWs0KGmpWFO2lKx5XIfr/DgKg1ymoEKfIs+gGg8I5e+cRN6t2OJg2N5P4aFUOKWpQTYteqyAiVElEqHBpHtQ9lLRsP5v2uFi0XkRX/L8lRX6/IAtxcYKkFNDiUSklmtfR07yOnnEPyOw5JjRFT01LIdyspEMjPR0aG/KK/xs2hGeeEReiNtvlB1OJKeQxY2D06NJ5HfkNeVSqdGsiVEC0yGbOFHEZ5cuLoNv9+8VQTilIDW4ToeKiWzfhBFy+fM6vqiSo8ftlalfS8tdBF33bl0IrS6USyck3MPFTIkREiFTlUoDRoKBsjJpj57w0qHaNoO3yh1yYKZb+lW5Sup/EdD+Na9w6Ed31OJPo5ZP5mUweE8OC1TZsziATH4n+VxvoHT3rYdrcTNQqiddGRFK/qthf+064mbkwG7dPZtwDETSvrSvW67A6Aqz4y8GSjXY0KujbwcQjd4exfIudF6en0qy2ntdHRlG7UsHVn9OXvCzf6mD1Dgfx0Sp6tjby9APhbNrrYvLsDDIsAWQZKsSp6NnaRIfGBiLMuS8M/AGZnUfcrN/lZNtBF6FGBW3q63npoUhqVdLcVJXQ7gpy8JSHAyc97D/p5vh5LwnRampU0FC9vJqqZdVcTPWz+5iHTftcVC+noUYFDT1bh/DMoAjKRCr/1cfEjUJxTXjpwC5mvD6Zg6c97DriZvZSC2eSfNSqqKFxTR1Na+qoXl6DUikRHabino4m7uloIi3Lz8Y9zhxS1KKOWNRb1Ll5wloqkGXIyir9QRUQ5/cmTUR1IzlZRPjUry9MbuvXF/qX66r0KqWUE/0x7n6ZvcdF++zpD1MJNyly2mc5Rp7t2wtD2O7dxevw+4Xm9Log2lJDTAwY/cK5vl49GDlSDOSU0LOsSDz8sMjifOABYXD7wguiHff++yL37SY+b5Isy0XnI/w/htVqJTQ0FMuGDZg7dBCTY9dkdL39XTpBWQT2TX6iFMMRX3tNtMmKgMPrwPiuEFVnPZdFWEhY6T2HEmDa3EzKRCoZ1C2vm/Cpi15enZnGT2/dvB7pWvyy1sqRM15eG1HKHjwFwO4K8viUZO7paEKjkpiz3MLnL5QpUhzt8/lYvnw5PXv2RK3+53r9DleQ737PZtUOJw/3CaV3WyNKhcSFFB9f/prN4bMehvcOo0er4omET1/ysmi9jXU7nTSpqaPfHSZMeomf14gQ4i7NQ+jfyVSgcZzdFWTt3w7++MtBUrqfLi1C6NbCQGpWgJ9Xi6qSJEF0mJJebYzc2SwkT3suGJQ5cMrD2p1iQi8qTMmdTQ20bXhj4tIr703Ltt04ci7IgZMiH+x8so9K8WoSotXoNBIOV5DTiT5SMv1Uihek50rFp3wZ9W1h8GVY7AH2HBchs7uOuLA6gzSqrqNJLdFKS4hW5SKIV0jR+t1OTl3y5SJFKkXgP/K5AeC778Ri3qiRGJ5o0kR8L63F/eRJQYbOnbv6uzFjxBCLqnj1iUBAZu8JDxt2O9m010loyFVSVClejXTggNA7pqeL4RKPB4YOFb5lN2nbkWvd6bONsK/nwJtvCh3t9Oki8++FF4SPXGlKPAIBQey0WrHvRo0SdjCdOokp3+sqUjnrt8WC2Vxw1f42ESoCuXbk0KHw/fe5prlWbrPz53YHh097WfReQuld0bjdxRoX/LcQoT+32dmw28k7j+clgx5vkN7PXGTJ+2VLdSR53LQU+rQ35qRH30rIsszrX6aj00j0ahPChC8zit1G+k8Qoc17nXzycxZ1Kmt5on8YUWEqsm0B5iy3sGq7g3s6mhjYxVys9+NMopc5y63sPiqy9e5qF0JiWoB5q6wcP++lXwcj/TqYCMsnY0mWZfafEMLnzftc1KuipUdrIwnRKpZvtbNyuwOfX0arkejRKoSerU152jGyLHPigo+1Ox2s2+lEpZK4s6mBO5vm0xooJpIz/Ow97mbfcRfbD2Th8onqRVSYEq8fEtP8XEjxER+lEqSnopaaFUQl5LaLdPFxKc0nSNFRN3uOeTDoJDo2DeGutsY8GqW0LD8b9giCe+qSj+a1tRiDRxg9pBWmkOve50AApk0Trf1WrQRJKe3x6jlzYNgwUSG6gpo1hXi3NKJwLl4UZOjYMfGz0Sj0oc8+W+JqVCAgvLWukCLTFVIUnkrlx/sjrV4t2kmffSaIxMMPi7DnazocJUGedUelv6pDOnUKxo8X9i9xcYIgDR9+a6QesizyE599VhwTU6YIecllycdtIlRKyLUjU1KgWu4AxgxLgAdfT6RinIpB3UJLN+ahGPi3EKGLqT7GTE3h1/cS8m0JDJ2YyIsPRVK7UumI9rJtAR54NZFfJif8I7qLeSutrNrh4JXhkTz3cSrPDIoo9nv9TxKh1Ew/n/6cxYmLXp4aGEGreno83iCL1tuZt9JKmwZ6ht8VetXzqRCcT/YxZ7mFHYdc3NPRxN0dTOy67Jtkcwbpf6eZHq1D8iX/6dl+Vm4T1Z9AUKZHKyNtG+o5eMrDonU2LqX5kWWoV1XL/V1MNKmVV/B+IcXH2p1O1vztwOkOckeTEDo1MxToC1QY/Jc1RNsPuth2yE1alp+6VTREhyk4c/YCsjqOkxd9VCsnojMaVNNRvYIG43+JpudfB1kWDvkVK4ovSSIQlDl2zsuKvxys3emgflUtfdqZaFZHl+e9T830s26Xnd/WJZLtMl2tFNXVXdUbZmXBnXcKgbBaLao3LVsKYtS1a+m0tn78UXivXcnrGzBAVDxKYcgEEFmGXbuK522ziegdo1EMszzzjMhTLCECAZl9Jz1svEyKQjRBOjQzc0djA5UV6UjvvSf0NsGgqKiMH1/i6eFirTvbtwst6ubNIhPyvfdEu+5WtIwvXBD6pz/+EEa433wDVarcJkKlheLsyJFvJ1GjvAYZeOHByH/0+f1biJAsy9z74iU+ejY23xbFG1+l0ay2nl5tSscb6Y+tdjbscZZuO7IA7DnmZuLX6Ux9Mpp3ZmfSpbkh3xZgQfgniFAgKLN4vY3Zyyz0bGNkaK9QtGpJCKF/y6ZcjJpH7wkr1ij8pVRBgLYecNGvvYm72oewZZ+bBWusGA0K7u9ipkMjQ552mj8g89cBF39stbP3hIfW9fR0byWqdUs329m634VSKaHXQL8OJnq1NeUx40vL8rNulyA/Sel+2jcycGezEBoU4AuUg9WrhenaNVedWbYAOw652HbQzc4jLiJMCmpVEmLepAw/B056iAxVEKFN5u6u1WlSK6RAUXcuWCwlCpS9FoGgTKY1QGqmGLBIyw7g8crICO5w5XQsy+T8jmv+LwNyUNweIMykJCFaRUK0mAIrVkU6GLxacS6FYYkCsXevqHgEg1fbS82bw913Y/fAqu0iY87jk+nd1kiP1sZcye1XPjdNW3Vj6wEvG3Y7OZPoo30jA/3vNIljOT1daF+uyYLk6adh8mTRnikNzJ8vnP4rVBDtGL1ekJRnnxXj3TeLrCyxrzp2FNKLN98U1RSTSbyWceMgLOyGHjoQlDlwUlSKNu51EqJTCPPGsnaqfDsZ6asvxTEwerSwVSlmGHOx1x1ZFrmWL74Ix4+LFtbUqYK0ljZkWVTxxo0TZsHvvIN16FBCw8NvE6GbRXGI0MxFWVgdQbYfdLHg3YR/NK/n30KEAF6bmUbr+np6tM5LduYst2C1BxhzX+kIEMd/nkrr+gZ6t70FppPXIC3bz6OTk3nqvnCW/+UgNETBS0MjS1SRKBERCgTEB7qYOgEQuV3T5mYiSfDsoAiqltOw77ibGYuy8fpkHr0njGZXhNB+v3jsYBDs9lwn8sR0Pz/8YWHTHid3tTPSvVUIa3c6WbzBTrVyGu7vaqZxjbzmh+eTfSzfamfVdgeRoUp6tDZSV53M5q0ZLE0vi9sTxBeAJjV13HunicY1dLk+IxZ7gI17nKz528nxC15a1dVzZzMDzWrpi25DybIoh7/3HsGduzihjGf7ITfbDro4c8lHzYoaosOUuL0yR856CQZlGl+ecGpcQ0eESS7+e3PunNA9tGwpFqg8T0XG7pJJzfSL0fMr37P8gvhk+UnPDqDVSMSEq4iJUBIdpkSnVSBx+UJZDiIlJSGdOYOUlQl33YWkUCBJiNsouHpbREU6Md3PpTQ/6VkBws1K4qNVxEepcghSfLSKhGj1VZIny2La5plnxDiywSAGQVq0KPz13wj27xeLX3q6+PmLL+CRR3Lts30nPPy20c62Qy7a1NfTt71wHhc5cLnfm5RMP0s32/l9kzgm+3cy0TzSgnTHHVdbTDExpT9w8ssvouVzzz0wYQLMmweRkYJwjRxZetu5gkOHhEZpwQJBul99VVRXbgKBoMzBkx7W73GyaY8TvVZBh6p+Omz5hqrfvIOkUsGTT4rPUxHntxKvOz6fmIZ+4w1xLAwZIo7BW+EWnZgIjz4Kv/+OtUULQrdvL5II3Z4aKwU0raXji0XZaDUSR895b6z9s2SJ0B8tWHBrSodXsHq1OEn88kuJFtvioM5lY8UerY2wcqUwvPr+e1AoqBSv5tf17lLZjtMdZM8xD88NiRSl5C1b4JNPSv3q1ueXmfhVOt1aGjk4dwN2Zzhvfti89KeBZBlOnxZXnEOHitcxZ06Rx4HLLdyfV/xlZ1jvMPp2MHIpzc+rM9M4etbDsOuF0CdOiFL/sGFCI6DVwvLlJGcG+HGFhXW7nPRqY2TKkzGs2u7g8fdSaFVPz9SxMVS7Tgsly8L08Kc/rRw756FT8xDeHB3FpbQAS1emMvOihEoKx+BLZXDKcrr/+BIRoVePN6c7yJZ9LtbudLDvhIeG1bXc1c5I63olMN6zWHAMH82ufVa2NRjPjreykGLVVEnQEG5U4IxQcuycF61ajLcP7RVKpXh1LhJWLB8hpzOHbOF241qxlhM9HuF4YoBzSb7LZEcQH59fJjpMODVHhyuJDVdRr4qWmGZXHZxDdBIOt0xGdgCPT0apEA7tCocN5eefo1y4AGVGGooQA8p3+qEMNaGQRLFLIUmXv+c1VPT6ZJIz/CRe9i1KTPdz8LSHxDQ/yRl+DDrFZVKkolb1QbRZ35HYxwcLrUp0dPH2eUlRvz6sWydaWHo9NGiQ68+SJNGwuo6G1XVkWAIs32pn0jfpmEIU9Gqtx+/PfSzERqgY0SeMQd3MrNzmYPrPWahUEgM+WEXnp7uiGdgfNm0SrbLSRP/+4jgwGMQ554UXhMbG4ynd7VxBnTqiKnTggCBEmZk3/ZBKhUSD6joaVNcxZkA4B0+JStH48EfQPv8wHTM20yd9B9G3Yv25EjA9ZIj4LB08WLreRtciPl6spz/9dDXzsgjcrggVgZyKUFIS5gImBrw+mb7PXeTOpnoizCpG9A0r+YbmzBGL4JYtwjWzmCgxM1+yBPr1g7VrRSm2FHHgpJtpczP5bkK8YP+PPCJ6t2XLcjHVx5Pvp7BoSv4aopJgw24nC9fZ+OTZ2KujlKdPl9KruIpPf87kzM5zdGwZyo+LU/hcmkPE7BklfpwiK0ILFghPJ5tNGIdNnVrk1d/W/U4+mZ9FjQoaxgwIR62SmL3cwurtDu6908TAzubchMJiEZUMlwsyMkChIG3qTH40dWX13066twyheR09K/5y8PdhF91ahtC/kznfqa3N+1z8tNJKli3AfZ1MVIjT5AiZtYoADoePVmdW0/fwDzQMyUDxxuswcCDegMSOQy7W7nSy7ZCLmuU13NkshHYN9cVOr5dlmQupfravPsO2349w0FyLstlnCHdlYI2I51xoZaqU1eQY/tWupC20qlTUe+M4fZGTb8zgeKqCE9oKHDdWJdFUjnJxWqpV1FM5QU1sxFWSo9NAli1Icrqfc8leziX7SEoPkG4JYLUHcbqDeP2C+175GOR/Br7yy4Kfu0ErEWpSkBCtonkdHfWr6ihfRp2vZ1cgIJOaJapHF1N97Dnm5u/DbhKilLQ2JtHmnnpULau+dSP/hw+LRX3gwCJvGrjcYl2y0cqBky66tTTR7w5zvsL4QFBm2wEXP6+xcTHRQ9/aLvr0ryKE+/+EfcG1b+R/6XaCQWGBsHK7g/W7nNzRxMD9XcyFhsHedCfiH9pvVouF0LCw2xWhUsOmTQWWWjVqidb19dhcMsfOuW6MCN17rxif/O67EhGhEqNrVzHOuHBhqROhGhW0JKb7sToCmK+MZ549C2XLEhelwu2RybIF8/jBlBSb9zlpG2uBfcmwZ88t6Tev+dvBpr0uxq54i6mZE5m2fiwRO34v9e3gdov++WUXbqZPhyeeKPDmadl+pv+cxdGzXsbeH07TmjoWrrMxb6WVdg0NfDshLq8QOhCAQYPg6FEAMmo25afnF7LioETnZvDU/eGXBaxO7u5o4qn7w/MQE59fZvUOB/NWWVEqhKO2UgnzVtpIzbQgSRCm8dF308d02/sDYW5xBRvodze7qnZm7Y9ZbNrrJCFazZ3NDDzWP6xYgm0QFxr7Toh217aDbuxZLionHyKoVKEhgC80grKhNpoYj9BwgBlT68bF3Pm54XAFOXHBy/HzV7+SM4KUrz6Gap011CqvoU9ZNQadxNlELzuPelm1w05aVgCnSwSc5geFJPK/dBqIMCsJNSqJDFMQaVblRGrERigJysKjyeqQsTuD2F1BHK4gDreMyx3E6QmK5PjLSfIuj4zFHiQ5w8POIx5AuLtr1VAmUkWdKhpqV9JSMU6M+F9xk25SU0ff9ia8Ppk9x91s3adj/OdpKJXQpr6eNvUN1K+mLd1InNq1xVcxoFRKtG1ooEUdNT8uWINd1YynP0ylYpyaPu2NtGtoyIlSUSok2jQw0KaBgaNnPSxYa2PIG0l0ahrCvZ1Mtz6v65/yirqF21EoJOpXFUR6WK9QFqyx8djkZJrXEYaktyQ26F+2325XhIpATkVo5EjMX31V4O0yLAFGvJWExxfk21fjC7WvLxAjR4pyaFJSsb0XboiZ33efUPJfvFjq7aQxU5MZ0j2UlvpLYsLu+++F5XpEBI9NTmZkvzCa1Ly5vvC9L15kWs9sKnRvJkrTTZuKkvsXX5TK6zmT6OWpD1J4pq2dT35z8ez6l2hj2SncWmfOFOXxEqDQqsPUqaLMDqJVef/98OmnecSRgaDMbxvtfPd7Nt1bGXmop5m/Drj55rdsysUWIYR+8UV47z0y9VHMb/goy2o/QIeYDCp1asCKbQ7cXpn7Opno1jIE7XXVBKc7yLItdhassRETrmRAJxMZFj9z/7Th8cp4/TJtGujpE3aWBsM7IQWD0KABmQ1asaxMd363VkEfoqFTCyN3NjUUepV5LVzuIFv2u9iw28muY27iIpUkRKtxuoXDc7lYNe0a6WnX8MYSu+2uICfOezly1sXG7edxBKJIyQxQvoya6uU1VC+vEW00SRhP/n3IzbkUHzbHVaEyiLcsNERUZSolaKgYp87R50SE5k15v1VIzfSz/ZCL7YeE+WOWNUAgKOpJCgUEgmDQSdSvoqFbKyMt6+pzvdfByxNdW/a72LLfRUa2nxZ19bSpL4z8/hOO2Nd+boKyknW7nCzZaCc1y0/PVkZ6tzMSm4+bf3KGn1/X21i+1U69Klru62ymQbXiBwbfhtDtLd5g59f1NmpW1DComznHiBX+XdrUwnB7aqyUkLMjy5XDfO5coQzzz212PluQRcMaOiaOiir5B2/LFmjbVrTJHnywWHe5oQNy/nyx4G7ZIkZNS/EEMWNhFpqki4xggxDetWsnRkCXLOG97zOoFK9mQKebm7ToNvY8Pz+nJ7TCNRNj8+cLgneTcLiCPDYlmZ6tjfy5/AJdN0zngb0zhQHZqlU3FPJXIBFKSxN+JFarEIAMGyaMNCtUyHX/kxe8TPspk0BA5tnBkTjdQWYszMIf4LIQWk+B+PFHLCOfZH7rp/m9+kBaJTgpU6csK3d6CDcrub+LmbYN846uZ9sC/LrexpKNdmpV1NC3g4l9x10s2SjG4UONCvrfaaJbSyOheoQmrGpVjijL8usGB5v3u2hdT0+/DqZC88WuhT8gs/Owm9V/O/jrgIvK8WrKxarIsAY5cNJDlbJq2jcy0K6hoUQ5aCBO7HuPe9h11M3e426SM/xUiFNTNUGFx3qcbnc0wOoSAcrHznnJyA7g9V+9v1IBphAF5WNV1K+qpVltPbUqFV41CQRlnK4gqVl+oSXKDJBtDxKQ5WsEz1KOEFpGVI/CzUqiQkUSfHS4Cr1WQqOW0KqlEp1TMrL9/HXQxa4jbk5c8JKaFchJr5eAKmXVDO5uplU9Q5724aVUXw4pOn7OS/1qWhFu2zzkHwtPLehzc+ycEFev3+2kUQ0dg7qZ89VlOlxBlm+1s3CdjdAQBQM6mbmjiaF0K13/43C5gyy9fCEUF6nigW5mWtTR4fQ5bxOh/0/I2ZGA+dChQsu7sizzwqdCqDrugQg6NSuh0Z8sC8OuhASh4SkGbogI2WxCHPnYY2KbH31UsudZCDbucbJ4TTbTJtUSCzyIVs/06SxYY+VMou+mLAYCQZkuYy7wx4cJaE16MY3QsCHs2nXT1SBZlnnjq3RUKrA7ZcJ3beLFWf2R6teHFSuKPVp6PQokQmPGwOefi7bV66/n8ahyeYLMXmZh+RY7D/UKpWktHV8ttnD8vJfhvUPp1iqk0JFy69lkFkzfwWJffZrXM2Ayqli/y0mtihru72Kmfj5XyckZfhassfLnNget6unp3MzAsi2CmMhAkxpaBnUPpX7Vq/f1+mTW73Lw6wY7aVl+7mpnondbY57R+PwQDMocPuNl9Q4H63c7iTArKF9Gjc0R5PAZL7UqaWjfyEDbBnqiitlKA2HiefC0l11H3ew+6uZMohhiaFxTR6U4NQ5XgPV7XBw968FqDyJf1uJIEui1EmUildSroqVFHT0NqmvRa6++lkBAjMCfTfJx7JyXkxe9JKb7ybQEcLhElexWnFUVkqjqRIUpqZygpk5lHbUraYiPVmMqztg/kGX1s3W/m+Vb7Rw950WWxeM2qaXlno5mmtTU5SEK2bYAfx10sX6Xk2PnvPS/00S/O0y33GOpKP2WzSmqlT+vslKzooZhvcOoXj4fHVFAZsMeJwtW28i0Bri7o4nebYzFs0q4DUB8xlftcDBvpRWdVqLfnUp6/ykilG4Tof8HyEWE3nsPnn++0NunZvp5eFISSDBrQlyJTt4AvPuuMLg6fVqYbRUx0lpiIpSdLbbx889iHFijETqVUsIVg8nfFJ+g+vB98csZM+DRR9l5xMU3v1mY8eKN29S73EF6PXORNZ+VQ6pUSbyGZctKJfF43iorq7YLo7eTF7188F4jNDWqCifZG/TxgAJO6MeOCfLz2mtiQuQ6bDvo4uN5mVQpq2HsfeEcOStG5O++w5hXCH0d7M4gv6y1smidjWa1hWB43iobdSpreKhnKJUT8i4WZxK9zFtpZct+EZXRqp6OuSttHDgp3ID7tjcyoJM5l3YoNdPP75vsLNtip2ysmrs7GGl7jX6jMJxJ9LLmb+EXFAjKVIrX4HAFOXXRR/1qWto1FOQnP7fq/BAIypy66GPX5WiHQ6e9lI1V0biGjurlNFgcflb/7eTURR++y5UeSYJwk4IwXSb3dK1Aq3ohhJuufl493iB7j7vZtNfF4TMe0rICuDwywX/gjHmlYiRJ4lrlyjaVitw/X4FaBXGRKprW0tKzjZFK8UVX4bw+mcUbbPyy1kZ6diBnMq19Qz3dWhlpVF2Xxyvq+HkvP/xhYd8JD3ffYeTeO83FJmElRXFtJ1zuIL+ut/HzGhsNqmkZ1js0X2G1LIt4lgWrbew97qZbKyP3djTdmIzh/ykCQZmNu53M/jOZ2X7hrp0yLpOY0JIbP/4T+J8lQp999hlTp04lOTmZBg0a8Omnn9K8efN8bztr1iyGDx+e63darRZ3CRb+nB1Zvz7miAgxCmq354rZuB5LN9v5ekk21cupmfJkTPHL2V6vID8VKggDMrMZ1qwp9C43VBF6/XVh2gXiTBssQOV5gxj82iUm9PRRo20V8dgbN0K7dmRaAgx5PZGl08resNdSli3A4NcSWf5ROSEqVyiEkP0m23v7Trh5/ct0hvYyM3+1jRl3ZRH+1sui5VZCTdD1yPeEXkCESoYlwPQFWRw67eHJ+8JpXV/Pt79ZWLHNzusjo3L16a+HwxVk0Xobv6yx0bimju4tDfy63s6FVD9PDQyneZ28LbSDpzz8tNLKgZNu+rY3Uauihu9XWDlx3ospRMHIvmIE/8r7dcX3ZfEGG38fdnNHYwP97jDlGa/PD6mZftbudLL6bwepmX4qxqtxuWUupflpXFNH+4Z6WtU3FHthvTa+Ye9xDzqNRJOaOupU1uL0BFi308XpSz48PnGKUyogNkJJq3rC66pyggafz8eyZcup26QL63d7+Puwm8Q0P07Pranq3AiutM2u/51SCcEABBFEKBDITZBCjQq6NDfwQFcz4ebCF/ukdB/f/W5h014XHp+MSglqJXRqHkLf9qY8+rNTF738uMLKziMu+nYw0f9OU7En/4qLkhqR2l1BflkjLgCa19EztFdogfqxCyk+Fq61sfpvB81q6xnQyVRqrvf/H2D32DFNFiHj/dzHGNS5DL3bGG9N2zQjQ3gp3YDdS3GJ0H8VFZ4/fz7PPPMMM2fOpEWLFnz00Ud069aNY8eOEVOA5bnZbObYFaMt8npvFBtdu4oW0vPPC5LywAMF3rRXmxDW7XRw/IKPZVscxTf9O3dOaIRkGXbuFC2fW4FXX4Xly8U2ZFmcQUsxB6ZOZS2H3GZq3HuvGA2/XPEINyvQaiSS0v0kFFM0ez08XpFLBQi/iLFjS0Xj9P1yCw/fFcrK7Q5G9Q0jPMorRtlvVSTGdSRIlmV+22Tn298sdGlu4LvX4ggEZcZ/nobNGWTmi2WIDs//4+r2Blm0zsbPq23Uq6plypho/j7i5q3vMrjnDhMTH4nKJYyVZZkdh93M/dPKpVQf/e800bm5njnLrMxbZcVkUPDckHC6tjDmECCXJ8jqHQ4Wb7DjdAfp297E0w9EFLn4WR0BNu5xsXqHg2PnPZSLUePzyfgDYoKqfQcDLevqi5V5ZrEH2HPMndPusjmDNKqho35VLTXKa9iy38naXSLWAwTxKROpok0D4WheLlaNLMucTfSxeoeDyUcyuJjqw+1tCCvTi9z+fwr58TEZcvQ+AD6/aHHpteLawx8QxPiXtXZ+WWvHbFDQvrGeB7qG5lsBiYtSM354FLIss3W/ix9WiBy55Vsd/LHVQdNaWp4cGEn85ftWKathwsgozib5+HGFhSETErmrnZEBnc253KH/SRj1Cob1DuPuO0z8vNrG41OSadvQwEM9877mcrFqxj0QwfC7Qvl9k50JX6QRF6ViQCczbRrk1czdRm5cu44+PziM3ze4+XGFlX4djNx9RymTYqVSaE07dYIRI246MDY//FdVhFq0aEGzZs2YPn06AMFgkHLlyvHkk0/y0ksv5bn9rFmzGDduHNnZ2Te8zRxGWbYs5osXxS/nzSvSDyM5w8/It5KQkfnqlficE0iRWLRIjNKDCMS7Np04H9ywev/oUTF27nYLozB9IYLbEmLJRhv7T3h4rfYJ4cSalJTzt2c+TOHujiba3WAm29kkHy99lsq8txJES6xXr5t+vskZfka8lcQ7j0fz5jfpzHsroVjtneKiqCvbQFDmw58yOXTay4sPRlCzopZTF71M+DKdRtW1jB0YUaAXzskLXt76Np2YCBUj+4bhcAX5aF4mkaFKxt0fQfkyV7cXCMis3+3kp5VWPF6ZAZ1MqJTw/R9WMq0BQvQKRvcLo3OLq9qjS6k+lmy0s+IvOzUqaOl3h5g4KmyhcHuDbDvgYvXfTnYdcREdrsLnl7E5g7Sup6ddIwPNauuKnKjyXw6S3HnYxa5jbs4n+6ldSUOj6jqCyOw85OLUJR9ur7i9UinaQ+0a6enT1khspBq7w8/ijQ427HZwMdWPJ1//RJnC/HpuFAqFqKpoNQo0lz/+gaB4XTannG+l56a3KeWuCgmzRnG9c6UlqNeK0NrRd4dhNBS8YDldAX5aaWPZVjvZtiCSBO0a6hg7MDKPBcaFFB9z/7Syaa+Tnq2NDOxiLpZGrDDcbDRNli3AT39aWb7VTqemIQzubiYmnykzEG3CtTsdLFhjw+2VeaCrme6tQm4LqwuAI/Esxq8EIckadYaw+Iqcuuhl7korOw666NnGSP9OpmJbZBSJ9euFKSeI2JZRo6Bv3yJjVP7nWmNerxeDwcAvv/xCv379cn4/dOhQsrOzWbJkSZ77zJo1i5EjR5KQkEAwGKRx48a888471MlHk3EFHo8HzzVuoVarlXLlypFeuTLmKwv6nDniTSgCv29y8MMKOwkxSt5/MrL47aBXXhF+MkYjXLpU6E0dXgfh74v+bOpTqSUTrc2cKUarL14UuTalhFOXfEz4MpMfJ8bCW2+JCtRlfL7QgjlEwZDuN7a94+e9vPdDNl+PL72MsR9W2EjOEJfX0eFKhvYsvX0B4oS+atUqunTpkueE7g/IvP9jNonpAd4aHYE5RMGGPS4+mW/h4btM9GxtyLeKGQzK/LrBwY9/2nm4t4nW9bV8vcTO7mMeHulnpmMTXc79PF6ZlTuc/LLWgVEvcc8dIWTbA/y82onbK6PTSDx8l5HOzUR+WDAos+uoh982OTl42kunZnr6tDXkIlXXIxCQ2XPcy7pdYtIoJlyJUilxKS1Am3paOjbR07CGFk0RBFMERnrZuMfFlv1uwk1KmtbSEh2uYM9xDwdO+nC6xSlLpYQykUraN9TRu20IkaFK0rMD/LrBzpZ9blKygsXs+hZMhC4PdiHLYA6ByFAVUaEKws0KlArpMsEQ3j4yoFJKqBSCBMmyCBq9oukJBkU1LiiD2yvjvWw/oFZJqC6TFa9fxu2RsTqC2JwywSAolCAH8+qCioJKebVqpLrsRq1UipQV3+XfV4pTMXZg/lNX1+L4eS/vzMomKUNoifp1MDCkuynPWH1Sup95q+1s3O2mc3M993U2Eh12Y4SosM9NSZCeHWDeKjtr/nbRtYWegV2MBXqZybLMrqNeflhhI8sWZFBXI52b6fNopf7VcDiEhKNt25vSNha6iWvXnS+iCKvfBHr0gJ49uRRSlgVr7GzY7aZ9Yx333WkkIaYUCNGECfDxx1d/LlNGrMWF6GitVitRUVH/O0QoMTGRhIQEtm7dSqtWrXJ+/8ILL7Bhwwa2b9+e5z5//fUXJ06coH79+lgsFt5//302btzIoUOHKFu2bL7beeONN5g4cWKe38+dOxdDCbUisgwL/65KlkNHk0opNK6YVqL7FwfugJv7D9wPwLx689Apb0F2SwkRlGHmmvo82OYIJn3uS/CDFyI5n2GiZ8OzN/TYlzJD2HC0LINaHyv6xsWALMOsTbVpX+MSfx6owENtj2DUFSN2oRTgD0r8sa8iHp+SPo1Po1IG2Xo8nqNJEfRscIb4cEe+93N4VKw8UAGnV0W3eudIyg5h64l4qpXJonW1JHRqscp5/Ar2n49mz7loIo1u6pdLI92mZ+/5GCRkFFKQVtWSqJ2QiVIBHp+Sw5ci2HchCgloUD6NWgmZaFUFs4kUi56jiREcTw5Ho/ITavCSadehUMjUL5dBrfgM9JpAgfcHcbxcyjRyPDmcUymh6DV+qsRmo1IEOZ4UQYbj6jFt0nmpFZ9Jw/Jp6LUBrC4Ve87GcCo1DLtbc1MVFoUkE5QlzDoP4UY3Bo0fjSqIQgKvX4Hdo8HmUmNzawgGJYx6L2adD5Pei0nnRaMKXB6Fly8Lna+Mycs5I/IKSTxDSZK5cl3k8KixODVYXNqc7wpJJlTvxaj3YtD40ar8eAMK0qwGMmz6nP0mF7OSJUkysixuq1YGCAQEwQoElMiARhmgaaVkmlRKK3T48mhiOGsPl8MXUKCUgrSqlkyD8mmolLn3vNWlZueZWI4lRlAjPpNWVZOKPA5uNawuNTtOleFESjj1yqbTpFJKgc9JluFcupm/TpbB41fSskoy1eOyuN0xEyjOumN3q9l9NoZDlyKpGGWlaaUUos2uf/R5Op1OBg0a9P+bCF0Pn89HrVq1eOCBB5g0aVK+tymwIpSejvm554R4du7cYrdkEtP9PP5eOiDz8TNRVCjkqjoXkpIEo9+6FWJjC7zZTVWEQFScjMYbTtMuCC99lkH3VgbuaJy75XbkrJcP5t54RWfnEQ9z/7QxbVxUaTxN9p7w8NFPFrq11HM60c8rw0p/+iG/K1u3V+bNbzKRJInXHg7H65N5d3YWLo/Maw+HF9hW2HbQzYc/WbizqZ4OjXXMWGjF55cZe18oNSteLRPvOOTm458tVC2rpltLPfuOe1mxzYVWIyEh81BPE11biAmvs4k+ftvsZN1OF/WraejTLoRG1TUFVjCDQZlthzz8ssZOYrqfhtW0ONwy+096aVJTS++2BhpWK/j+INqBh0572bjHzeZ9bkL0Eq3r6VApZdbv9pCYLhYopQKqllVzb0cD7Rrq8QdlVm13sXSLk3PJfgI3sLZemcQKN4lWmsOeQWhYFE63jMURJMMSxKCViIlQiuiMcGXO/2Mv/z/MqLhl4crBoHBgT0oPkJThJyk9QHKG+H9iWoCgLFO7kgajQUFSmo9j5/2olBL+gJxLN1QQFApRnVIqIDJUIssqgyRaZzoNPNHfTNcWBVt/+AMyX/9mZckG52W7ARjVN5QuzfNWTtKyA8xZbuPvwx6e6G+mXcPit+BLqyJ0PS6l+fnxTzvbDrrp2y6EezuGFDhKL8sy2w95mLPchscn82APE+0b6m7+vd+0SQysdOwo9KeNGpWqThMQj//BB1d/NpmEP92kSTedM5lr3bE+SdiMr8Uf4uJEOsI1a7TVEeS3jQ6WbHJQo7yGgV2M1Ktyg27VR49C+/bCRHfLFrH/vv0WIvIP8/6fqwjdSGssPwwYMACVSsVPP/1UrNvn6jF6vcJH6OuvoU+fYj/3hWutzF9tI9yk4LMXyhS/77x6NZQtK7yFCsC/1eFz1tJsbM4gT16XNu90B+n73EWWfViu6GTxfLBpr5PfNtqZOrZ0WmPvzkonPkrFH385GD88stCprBvF9VoHhyvI+BlphIYoePXhKC6k+JjwRRpNaukZMyA83/3i8QaZ+Ws2G/c4GTcwnAOnvKz4S/gL3d3BlLMAWewBPluQxZ7jHh6+y8y+E1427nFiMijwBWQe7BFKrzZGNGqJfcfdzF5u4dRFHz1ai+mgwkaJPd4gK7cLHYUkQY0KGk5e8OFwBend1kiP1iGF2kUEgzKHTntYv9vJxj0udBqJNg30yMEg6/e4SMsSlSe1CupX1TKom5mG1XXsP+nmpz9tHDjlweUp+elKoYCKZZRUStCi00g43EGS0wOcTvQRblJgUqfToUV5qiToiI1UEhOuytXyCQRl0rICXErzk5jmw+GScXuDeLwybp9ocbl9Mh7v5S/f1b9f+dnjkwnRKYgwK4gMVRIRqiTSLL5HmJXid2bxVdTn4nyyj817nWza5+J8so8mNUXGmM8ns/u4mzOXfMgUlGF2FWrVNbohDciSaJv5A2Li7LkhEbSpX3AVPMvq563vMthzzINGBRGhCh69J4J2DfV52rk7j7h4/8dMalbQ8NT9EcUSVN+sRqgonEvyMXuZhV1H3fTvZOLejqbcov2tW+HIEbjnHoKhYWzZ72L2UgtBGYb2CqVdQ/3NEaKvvxZaF4CoqJzWEl27FriwlwiyLIjPjz+Kn3U64U93DUm5UeRad8alEdb/ATh/XgzenD4tzHTfeSdXQsIVc8afV9uIj7pqzljiAaaPPxbhrb//LlLm4+JEZFTjvNE6/3MaIRBi6ebNm/Ppp58CQixdvnx5xowZk69Y+noEAgHq1KlDz549mTZtWrG2mWdHzpsnKii9exf7eQeDMk9NSyE9O0D3VkaG9ipB9aWIcLp/KxH6+7DwDJr5Ul7PoEGvXWLiI9HFGrm+Hqt3ONiw28mkR28+LdvhCnLf+Es8dm8YizfY+Wp8mVtiw3/tCd3lVfDi9DTKxah48aFI1u928vG8TB65O7zA6cJTF728/V0GMeEK2jcOYdZSC7UraXiif3jOJJksy2zY7eTTn7NoWU+Egc763YLRoMDtDTK4eyh3tTWi1ShISvfzxa9ZHDjl4aGeoXRrGVKocNliD7Bko53F622XqyFKDp72ULeKSIxvWadgDUUwKHPkrJf1u51s2O1ErYQ2DfS43EG2HnCRZROnH51GolltHUN7hxJlVjBnuZX1u51kWktm7SBJQgtTrbyasjFqJCAtK8CJC140aokaFTTUqKC9/F2DURdk+fLldOveg2y7goupPi6l+bmU6r/83UdShh+tWiIhRk1CtAqTQUw/6jQSWo0CrVq6+vPl/4ufFWjU4vcalSBgmZYAGdYAGZZAzv/Fd/E3mzOIOURBhFlJxTg1TWqJ8NiCnLRTM/1s2e9i8z4nh097qVtFS7NaOlQqWLjWRoY1gM9fOCkK0Uu43EK7ZNQLgmRxiKpRdLiSFx6MoEnNgis5h894mPRNOimZAXRaKBut4sWHovKM3DvdQb5anM2G3U6eGBDOnU3z179dQbGI0KlTYoroJsxUT130MmuphYOnPQzsYqZfB6P4PASDIqD6zz8FSXngAYK9erPxGMxeZkGplBjWK5Q2DfISv2LjcvxNDrp3F9rN69zlbxher3jMTZsgMhLS0+GZZ4SFSjFjnPJDnnXHKwti98QTQuP68cdQubKo1rRvn/spXWfO+EBXMx0aG4o/qXftmrhrlxguSkkR+23o0Fw3/Z8kQvPnz2fo0KF88cUXNG/enI8++oiff/6Zo0ePEhsby0MPPURCQgLvvvsuAG+++SYtW7akatWqZGdnM3XqVBYvXsyuXbuoXcwAwDw7UpYhM1McVCXAhRQfj01JRpZlPny6TL4OqDeCfysRcriCDBh/idmv5w0BfWVGGh0aGwotvxeEpZvt7D3u5tWHb741tmyLnfW7nASCMp2ahdCrTTFtDkqIKyf0Vm27MX5GFrUra3lyQBhf/2Zh7U4nb4yKok7lvGJVWZb5db2d75Zmc29HE8fOeTmf7OPJgRG0rHt1YUrP9vPxvCxOX/IytHcov663cz7Zh1IBg7uH0qe9Eb1WgdMd5McVVn7baOOu9iYGdzMXmiF1KdXHL2ttrNxup0KcBo9XJssaoEdrI73aGguchJRlmaPXkB9JEmGe2bYAO4+6sTrEKceol2jXyMCwXmb8QZg+P4tdR925oi2KgiSJFk/leBWmECVur8ylVD++gEyN8rlJT3SYgtSsoCA7l4nOhRQvx89asLt16LQKEmJETpj4UlM2RkV8tKrUPXIKgtcnXKszLIK87TwiIkEizEqa1NLRtKaOhtV1+b5vVkeAbQdcbNonYjUqxaupV1XL/hNuzib58frlQsXjOo2E2ys8hLRq0OskMixC7N2gmpZ3HotCrytYZPz7ZjszF2bj9csoFTCybyj33mFCocz9XPcedzP1h0wqx4sR9oLawMUiQrt3i+rAE0+IiJqbWNyPnvUwa6mFExe9DO4WSu+2RjT2bFFpOHtW3CgkBPr2JfDCS6z3Vmb2Mgt6rcTw3mG0qHsD1Y1gUIR5L1okfo6JEVmDAwaUXvRRdjYMHiwqQy+9JDIZK1aEzz67YSPafNedawnK5s3w8MNw4oRw0H/33Tzee1fMGeeutOL2yAzsIlqyJe4UpKcLO5vVq+Hxx+HDD3Omyf4niRDA9OnTcwwVGzZsyCeffEKLy6rxO+64g4oVKzJr1iwAnn76aRYtWkRycjLh4eE0adKEt956i0YlSCsv7o4sDuavsrJkow2NWuLLl+NuqDV0Pf6tRAjg7e/SqRinZnD33BWwb5Zk4w/IjL6n5HqchWtFTMdzQ248puMKnnw/mTb19fy00sb8d+JvWUCmz+dj/qJVrDzSgJZ1DQzqZuKtbzPw+uH1kVH5LgSZ1gDvfZ9BaqafRjV0rNzuoF97E4N7mHOepyzL/LHVwZeLs+ncXLQwlmywo1TC4G5m+t8pHKiDQZk/tzv4Zkk2dSpreeTuMBKiC241HD7jYf4qKzsPu0iIVZOU7qdqWQ13tTPStkHeXKorz+X4eS/rdzlZv9tJMAit6ulIzfSz/5QH52UP0zCTMPkb0t3MhTQ/3yyxcOCkp1jaFrhsJKiAivEqtBoFKZkBbI4gVcupqVFBS83LpCchWoU/ACcueDl02sPBUx4OnfHg9cqUK6OmbLQgOHGRCs4e307/vu2JDPt3Gur5A4JY7jziYufl3LDq5TU0qamjaS09tSpq8lTk3N4g2w+6+WGFBTkIXVqEsOeYi30nvPj8BbtjS1wNaQ01Snh8MgatRKZVkJuxA8O5q13BU5Ven8ynP2eyfKsDSYKaZgdvxm4m4rGhuUadXZ4g3/5uYdV2B4/eE0a3liF5SESxW2NXqiphYfDII6ItU8AwTHFw8JSHb3/P5lKqnyE9zHTXHkfdrrWoroCIJvr0U1AqCQRk1vztYPZyK6FGBcN7iyicEhEipxM6dBBj4evWwfbtQnrx+ecibqk04HBcJYlbt8Lo0XDwoCBcH39c4vigYq07Tqdwzv/wQ0G8vvlGaHquQ46v2Qoriel+7utsKrk5YyAgppMnTxatv19+gfj4/10i9E+jNIlQICgz9v0U7M4grerrefQGiMD1+DcTod3H3Eybm8mc1+Ny9dLX7nSwcpuDyWNKrvOZu8JCuiXA2IE310M/n+JjzHvJdGhswKBT8Ni9t84i/nySi7HvX6R3+0jaNwrh9S/TaVFHzxMDwvP1K9p+yMV732dQt7KWs0k+IszCE6hC3NXFICndzwc/ZpBhCdC1RQjzVtlwuIPc1dbIyL5hORWD/SfdfLYgi0AQnugfTqMa+WuggkFhpDdvtZVzST7MIQqsjiDdWoTQu52JinH5L0Q2Z5Clm+0s3WzH65NpU1+Pxxtk834njssDItHhSvq0NdK/k5F9Jz3M+t3K8QveYhuaKySoWk5FZKiKbFuQ05d8VIxX06KOjuZ19NQoL4hApjXA4dMeDp72cOi0h+PnvcRGqKhTWUvdKlrqVNZSPlaV61i81TqUWwG7K8jey8aSO4+4ybYF6NbKyMAueX1bgkGZtTudfPd7NlHhKnq3CWHHYTcb9zjx+a+c+vMeg8rLZAigbIyKtEw/kkJUjMpEKvngqRjiogreX2lZfp7/NJXzyX50fiev73mDFk/2FJWJa0TBB095eO/7DOKjVDwzKCKXz0+x3xunE+rXF20yEI8/eLCwILkJW5Ddx9x8+1s2FnuQUYYdtHvpbiSTSSQLjB8v2kuXn5c/ILNqu4Pv/7AQGapkeO8wGtUoQeJ9UpLoNNSsKUjWK68IQfPUqTBy5E3nKOaBzyeE1BMnCoI6ebIgR8XcTonWna1bYfhwOH5cVGymTCkwmeHASWH0euSs98bMGRctEu0xoxF+/hlrgwa3iVBpoDSJEAhDwDFTk5EkePux6JsW5/6biVAwKPPgG0k8PySChtWvvs4ziV5enJ7Gz++U/Grnu9+z8fllHrn75ojLV4uzybIF2LjHyZfj44pveFlCnEvy8fwnKdSIvUDbFnX47BcLj94TTs982nBem4svV7hZs8NO5QQNZ5N8jL47jC4trl4tB4Iyi9fbmLXMQp92Ro6d87D7mJemNbW88nBUzkkjOcPPl79ms/e4m4f7hNGj9TUBrRs2iL69JOUIoH9aacXplvEHZMrGqOnb3sgdTQzotfmfGC+k+Fi0zsaqHQ4a19BRKUHF2r+dXEoTpZ1wk4JBrSXuXvoGF978jOkLsth73JOzuBaFhCgltSpr8fpEpcnplmlWW0fz2nqa1dZhClFwLsknKj2nPRw6lE26W02NSjrqVtZSp7KGOpW1RZ5ES0yEAgFxJd2gQfFeSEkhy6IioFKJSc6EhCIjXi6k+Ph5tZV1u5x0bhbC/V3NeTRFPr/M75vs/PCHhTpVtPRpb2TD5nRW7PIRlJRXDZOug1EvYXfJaNWQEKMk2x4kyyKWjMf7h3LvnQXrHYNBmc9+yWLxehvKgJdeh3/iseAaNL8uEC2gy/B4Rbjwsi0ORvULo1cbcbyX6L1Zt+6q4Z5aLY7xUhAFy7LM5n0uvvw1m4ikkzza10St32bCl19Cy5Zigvgap2OfX+bPbQ5++MNCmUgVw3uH0qD6DZzjz5wR1a3Vq+GOO+Crr6Bq1Zt+PXlw+rSocK1cKV7PF18IUlkESrzuuFyCOH7wgTAK/uabq+9XPjh5wctPK63sOHQD5oyXBe6cPIn17bcJffHF20ToZlHaRAhEVWPFNgf+gMw3r8SJEqDHI3LFStizLfEB6feLg75Hj9LrQecHnw+2beMHe33OJ/sYP/yqpscfkOk57gILp5QtcWDjjIVZGHSKq4LztDSRRVO9erGvZgIBmftfTaRjEwMXU32883gRlalt20Tum1qdJyG+MJy84OXF6anc3yWEv3ad4mJ2GSY+Ek2tfMzrzpyx8fbkw+hiwrloU9O+eSgj+4ZiDrm6kJ9L8jH1hwx8fpmebYx8+Ws2sgxvjIrKyRFzuYPMXWll8XobvdoaGdIjNHdK+NGj0LIllimfsCSjAosyK6NWS9idMnc2M9C3valA/Zosy+w55uGXtVYOnPLQqWkIfn+Q1X878frF7m9eW8dTAyPQXjrL56+tZ2NsO7wqHcVxbq4Yp6J8GTXZtiBHz3mpnKCmeW0dLeroSYhRcfy8l0OnRavryBkPOq2CuuUV1Nm3jDq/Tqdq//aoP/uk2O8PlIAIHTokzNt++EHYWezeXaLtlAiHDgnn+iNHIDGxUPuMa5Ga6WfeKisrtzto38jA4G7mPFE2TneQn1dbWbjORodGBnplreejDVpOx9YlIOf/+VEpAElMk8VGKLA7g8hION0yjWtomTwmGpWy4M/etgNOXv8siaAsE6fz8OZL1fOtMB496+G97zMJNyt4bnAkUaFyyUjqqFHCbd7jES2fmTOLvk8x4fPL/L4mgzmrXTSppWeU5i/KPPmQaGctWJDn9l6fzPKtdn5cYaVCGRXDeodRt0oJW6+yDLNnC3Fz3bois/FWQJaFLcy4cYJ8Hz5c5Cj/DV+Ab9smqkOpqUJ3VUTF7lKqj3mrrKzd6aRjUwP3dzFTtjjxTFYrDBuGddkyQr3e20ToZpFDhBITMZewj1oQAgGZJ6Ym4w9AnUpanh4UIZjyc88JFXw+Y4AFocQH5Jw5onS4bp240rhVmD0bhg0j7a+DDJ1v5ue3E3J5dTw2JZkhPcyFjufmh49+yqRMlIr7u5hFPMgnnwiNgMuVb4hpfth20MXMRaJdNPa+cJrVLsTbxOsVDqaVKokP75kzxfLgOHzGw/jP03iop5mNe5ykp2fywbOViY3MJ2Nso52vF6TQZd9c1lTvx9iL39FpxbQcouoPyMxbaWX+aisDOpk4fcnLpr1u6lbWMHlMNHqtkmBQTGJ8vcRCjQoaHr0nLO8JIz2dSx3v4Zfwrqysfjdlglkkh1agU7MQhvUKJaIA0arXJ7Nmp4OFa2043UHuaKxn30kPR8+IMe0wk4LB3cx0bqbnxz9t/LHJgsN73cKYD+mWJKhQRgiRE9OEmLdZLdHualpLh80ZZMt+F1v2OTl+3kvFODV1KmtzvmK3r0Ia/YhwRgfhLbJjR4kIfrGIUCAgpm42bxbfbTZR7r+VcDpFmX/IkBLfNcMS4OfVVpZvsdOqnp5B3UPzEI9Ma4Af/hAanV4VstBVLse8VbZCherR4QoysoMoLweyhpmUJKYHMBkkPn0+lvKxBQ+AZGzey1O/Gkhy69Co4PH+Ykry+taR1yfz4woLv6638VBPEyrbBnr1KiYRysoS7bDBg4XmpRRjg67A7gzywwoLyzbb6d1AZvAdGowV8k7GXoHHK1rHc1daqVpWw7BeofleCBWK5GRxzJXgIuyGkJUlRuCLUe28qU6E2y3IfpMmxb5LWrafX9bYWL7FTvM6eh7oaqZqUVPHsoz1r78IbdPmNhG6WeQQoU8+wfzkk6X2uKcveRn7QQoqFYwfGkXz8n4xbtismQhELSZKfEB6PGJRr1tXVIZuFZKSRCjq1Km8rH+IlnV19O1w9UCct9LK6UQv44eVbPprypwMalTQ0K+DScScZGeLxemll6BLl3zFeNfjja/SMOoV7D/pYdaEuMK9QA4fzgmNJSFBVOymTy8042bvcZFk/0T/MH5aZaNeZTUVDVu5q3ePXCf0bFuAqT9kkpjs4Z7lE/m63pM8v+552narJEhx1aocP+9l6g8ZGLQKurcyMHNRNi6PzOP9w+h3eX8ePOXhs1+y8PpkHu8fTpOaeQnh4eN25r/5J7u0NaiVuoczEbWoGuZm9FP1qVQ5/xNEli3Abxvt/LbRRkKMiurlNazb6SDLJvyM61TWMOa+cHYfdfPzGhvZtiAg5x+gJYHisr1yfLQSpSTCd6uU1dC8jp7mdXRUK6vm+AUfW/YJ8pNlC9Kiro429UU2WS6Pl5MnxZW4LF+dDZckoUEoQazADWmEAgFR/rqVFdVSQLYtwMK1NhZvtNGkpo6hvUKpFJ/7uE1M9zP950zSsgM81COUzxdmYXMEcRbg1xQboSAtK4gsC2Jk0EmcSxbt0Cf6h3FPx4IXm0AgyHvfZ7J6hxOtFhrV0PHCkMh825cnL3iZMicdjzOLqc9UyXMBUSCCwdLX0+SDpHQ/Xy/JZvcxNw/2EJOZhfnDub1BfttoZ95KKzUrahjWO6zUJof/E/hPSTIs9gCLN9j5db2NmhU1DOpmLlReclssXUrI2ZENGmDes6dUT35zlltYv8uB1RHkuwnxmGZ8KBbAzZuhTZtiPcYNHZDTpsGzz4qr52bNbuIVFIEGDSA6mk2th/GDqj1fTCif86ekdD+PvJPEwillSzQ9N/HrdJrX0dGjlRGefho++kj8ITRUXDkVURWy2AM88GoitStraF3PwD0dixBTLlgA990n/h8ZKUhXrVoF3nzHIRdvfZvOy8Oi2LLPicUR5LXhofzxxx+5FtudR1xMmZNJm/p6Gu1exAeZLXht1RiaZeyE557D89SzzN4YZOkmG4O7h3LivIeNe11EhymZMiaasrEaUjL9fLU4m11H3QzrHUrvNsY800OpmX4+mpfJ8QNptDyylKMxDUCj4dGw3TS9q56YVrlun52+5GXhWhvrdztpUUeH1x9kxyEx2aXTSPRrb6RrKwNT5mRx7Jz3mnvKeWK7JCQkBVQso8Ljg2x7gFb19LS4XPXRaxXsPuZm634XW/c7Uask2tTX07qBgfpVtbc89PK/USxdUticQRats7FwrZURfcPo0y53JSYYlPlxhZVF6208NziCjXucbDvowubMf2nQaa8aL1aKV+JwyVjsQTw+aFxDy5QxMYVmc63e4WDKnAzUKtBpJV59OJrG+Yj4XW4vr368n/PZZXh9ZHTJW0v/AA6f8TBjYRYWe5BH+oUV6SnkcgdZvNHO/FVW6lXRMrRXaNGVjX8h/tPa1OKaM94mQqWEnB0JmLdvh+bNS+2xfX6Zx6YkC7O2aBXj7w8Rgrhq1UTrqhik64YOSLtdGHZ16AA//yx6taUpxPN6xZX5ZWdWv0LFwGdOMXlsmVwmio9NSWZIdzNtGhS/PTb+81S6NA+hY9MQ+PVXIYoDMVnx1VdF3n/ROhtb9zs5es7LvLcTcutn8sPEifDGG2IKYd060X4pABv3OPngx0xeHxmFxR7gi1+z+XJ8GfSaYK7FduMeJ9PmZvL8gxH40rP58Md0Jv75KA171YM33uCAI5ypP2QSF6WiXQM9X/9mwe0N0rWlkTH9wwkEZeavsrJwrY0erY081DM0T0RAMCjz2yY73/6WTTvVaTISLZwKq8HD7aHrPdVQKvPefsdhNwvX2jhxwUubBjoOn/ZyLln0SsrGqBh3fziZlgCfLsgqcJG8AoUEtSqqkSSJkxd91K2ipXurENrU1+P1w7YDLrbsd7LziJv4aBVt6htoU19PlbLqW2JqWRD+PxChKzh10cvEr9OpVk7DM4Mi8ngR/XXAxZQ5GQzqZibcpOCTn0XkS37TfRJgNEjYnDKV4lSkZvkxGZQkZwaIjVTyzStlMBTgOQSQlO5j7AepZNkCaNXQt4OZh+8KzUV8r7w3IXEd+fRnK0N7hXL3HXnbaf9pyLLMpr0uvlycTVSoksfuDaNGhcJJm8MV5Nf1NhassdGohjbfat2/Gf9pInQFRZkzFpcI3foa4v8KjEbh61CKUKskXngwkvMpPvYcd7PxqCy8EDZsENMCwA2FKRUFoxHGjhVEYvDgq2ZepQWNBrp1E2JPQBX006WhiuVb7bludkdjA+t2OUv00B6fjEZz+UTYtu3VPxRTS7Fimx2dVkHnZiFFkyAQvWyNBpYsKZQErd3pYNrcTN5+LJoyUSo+mpfF+OGRucTOAMfOeXj/hwwmjY7C4Qzy0S9W3rV8Q8NV3+D8eAafbNTy2hfp9OtgQqeBmb+KKbnXHo5i3MBwNux2MnRiEsfPe/nsxTI83j88Dwk6n+zj6Q9T+e1yS2SjrxK17u/AnKnV6DGgRi4SJEr2NoZPSuLzX7IwGiQCwSB/bHVyMc1PxyZ6fnyzDHUqaXhxehrvzM4skAQpFNC4hoZ2DfVEhinJtsu0qKtn1oQ4nhkUQbZNRIsMePkSf26zU7+qjq9fiePLl+Nyroz/bYvc/xKqlNUIp3dJXIScuujN9fdW9fR88lwsy7fY2X7IzSfPxlK9nAZVPnxGBmxOmYhQBWeS/Oh1CtzeAFUSVKRkBBjwciJJ6QWHF8dFqZk7KZ6WdfW4PbBiq53xn6ficOVlXR0a6fn42ViWbLTx9ncZuDwlcxu/1ZAkifaNDHz3WhxtG+rF5+S7dJIzChZchegVDOkRyo9vxlMxTs1TH6Qw6Zt0ziX9M4HP/yvQqCV6tTEy6/U4BnU189NKK8MmJuXYeRQXtytCRSCHUY4ahfn770VIaWnkwFyDb37LZschF6mZfr55KYqIprUhOlq0r2JiCtW93BAzX7FCTFRcyWd7+GExzliakGW46y4xxQGcP57B4zMcLJycgPayIWByhp8RbyWxaMrV3xWFpz9MoX8n01WRde3awizszJkitQGnLnp57uMUgrLEx8/GFuiNkwsNGoiq0DX5dtcj0xpg2MREJo+JoXp5DWM/SKFVXT0P9hSTbVeubJu17sZT0zIY1S8MtyfIrKUWJndIoXqvJticQZ79OIXYCBWNqmuZvcyKWgUxEUpeHxmN1yczeXYGTo/M6LtDiYtU5/IVgqui6nmrLNSppOXIWS/tGhoYfldongywtGw/SzYI/59K8Wo83iDHzvuQZQgzKhjZL4y4SCWf/pzF2aSCT+iSBOVilDSsruNMoo/Tl3x0aGy4HNshsWW/i637XVxK89O8jp429fW0qKsv8bTgrUAgKHMh2c3WzWsZcHfX//mK0BXIshil/3pJNo/cHZ4zrn4FDleQybMzSMn0M2FkFH9uc/DTn9YCTRgjwyQysmV0GlE59PtlzqUEkICpY6NpVKNw0fKSDTY+XZCFVi0RE67gvbGxRIep8s3oe+/7DC6m+nljVBTlYv+d75fVEeDHFUKs3qe9iQe6mYu86LI6AixYY2PxBhut6up5qFdo8aaj/kP4t1SErocIyXXz05/CnLF3K5lhfcvdbo3dLK4Qocyt2whv3VJMd0VHizC7UoLXJ/Po5GTCTAoMCj+TXD8ivfSiGNeePFmMTxaAGzog/X4xXrp4sfi5dWuR5FvaOHdOCI0dDvxWOz3HZzCku5mHel19jk+8l8zALmbaNypee+z9HzMoF6NmYJfLB/Wjjwpi+s47Rd53+oIszif78Adkpo0rxkiy3y/GSgcPLvRm0+ZmIssyzw6O5Mtfszh61svUp2JyyrM+n4/Fv61g5dEmtKxnwByi4OfVNt57MppK8Rqc7iDPf5JK2RgVFnuA05f8uLxB+rY3Max3KEfPepnwRRr97zTRo3UIb3+XgV6nYNLoq3lrx84JYzq/H5wemYpxah69JyxP3tOpi17mrbKydb+LVvV0JKb5OXrOhwTUqqRh/PBIEtP8TJ6dUWjOl0IBdStrCNEr2HfCQ/XyGrq3MlKnkoY1O52s+OuKwaKB1g30NKquKxUn9RtBMCiTnBngbKKXs0m+nK/zyX70GomWlU/zzMhW/2+I0BUcPy9aZXUqa3j6/ohcTr7BoMwPK4QNw5Vg4OmXjTnzQ3S4gqzLx0vLunqOnHFhc4HXB08NDMs1KJEfzlzy8vRHoiJk1Eu8/1Qs5WOlPG1LWZaZv9rGvJVWnh0cQbuGJZs6/SdxKc3HV4uz2X/Cw9BeofRqW7igGoSGcf5qG5dSfUx85ObzFG8V/nEidCXMtQSTcwdOuvlu8SU+fL7qbSJ0s7hChKZOP8hzcx4Wb0ZmpvApuIlcm+tx9KyHF6anYpTdPLTiNbofni/+8OCDYuS9ANzwAelyifbVtWF8twIffiiInM/HhG+yOHjaw6IpV+3vF6yxcvSsl9dGFG96bOFaKycv+njxocsRG3PnQsOGojJUBB56I5Fq5TSUixW+HqWBUxe9PP1hCrNej+fURS/vzsrgi/Flcpl/uT1exrxzlPj4WKqW07J8i4P3n4qhbIwatzfIS9PTiDAryLIFSM8O4nAHeHloFM1q69m4x8n7P2Tw7OBIKsWreWVGGg2qa3lqYARqlYTbKypLv2+0YTYq0WslHr0nnGa1cwsHXe4g3y21sOIvO52bh3A2ycve46I10qGRnleGR/DXQTcf/JiZkwV2PRSScA6oXl5DWlYASYJuLY10bWEgNVMEs2475KJtfT13tTNSp7L25tK5S4hgUCY1K8DZRN91hMeHRi1RIU5NxWu/4tU5oav/HzRC+cHuCvL+DxmcTfTx+qioPDqVrfudvPd9JkN6mFEqJGYuzMJXQLc+wiwRF6XiyBkfLerqOH3Ji80p43SLKubALoWHTbu9QZ58P4XTl3xo1TBhRAQpp9fk+97sOebmre/S6dbSyIi7QgsVZ/+ncfCUh5mLsrA5gzxydxit6xUd0irL8r+6TfwfqQg9+6zQs44fX+zR+9ti6VLClR15z7BNPLz9M3odmSf+cOJEqTt9fvlrFvtPejh/3slXc+4g1npBjLkfOFDgfW7qgMzOhnbthFNuWhpE3XyQaR74/cLhdccOkjL8DJ6QxEdPx1C/mpgSSc30M3xSEgunJBQr62vXUTdfL85mxpVUe6ezSOfdK7jr2QvUr6qldX1DqQSsyrLM85+k0qSWnm4tQhj1bhLPDY6kVb3crYDPFmSwaWcq7ZrGsPWAhw+eiqFMpAqvT+aVGWlo1RJ2V4DTl3xULafmleHRRIYqWbjWyg8rrLz5SBQuj8w7szJ4qOdVweieY26mzMnAFxCC1hF9wujRKiTPorB1v5NP5mdRrbwGnQrW7nYhy1C3ioZJo6PYtNfFjIViLD8/qJRg0EqEmpSkZwdo19BA91YhVC2rZs3fTpZstOP0BOnTzkiP1kbCTf9MQGl6tp+9xz3sPeHm1EUf5y4HzVaK1+QmPHFqws2KfBeW/09i6YJwJdx39jILU8ZEU7NibqHv+RQfL3yayv1dzASD8OXiLLwFSFliwhU0qaljxV9O6lTWkGUNYHEEsbtkRvQxM7h7WKHPJRCQeemzVHYf86BRQbsa53h+VMt835u0bD8Tv0pHq5F49eGof+y4uxHIssyG3U6+WpxNbISKR+8N/98Zn1e8RthDI8QAzq2ExSIiSJKTxUX8+PF5ku2vx20iVEq4siP37DzL6zPtvLlsBA2StguXz3btSnVbXp/MqHeSSIhW4b2YwntTGqGQEFNeBYyF3zQzv3RJtMbmzi32yH6JceAA1KsHwNCJiZgMCqY/f9WE7Mn3k7n3TjN3NC6a0GRaAgx5PZGl08qWqNrgD8h0ffICtStpeLBnKC3q3LzZ2pb9Tj5fkMU3r8bx2hfpVIxX80T/3NEfSzfbmbMsi1hjGlZ/LO8/JfQP/oDM61+m4/PLWBx+Tl/yM6ibmYd6hiIBMxdls3mfk8lPRLP9kJsfV1h5ZXgkzWrrsTuDfPJzJhv3OJGQGNDJxP1dzbl9dhALxfSfxYh7p+YGFq214fEJ3dGEh6P4+4iLuX9a8RUgAVIqIDREwumBquXU9GhlpENjAymZfn7baGf1Dge1K2vp295Ii7r6qxEetwgWe4B9JzzsOeZmzzE3qVkB6lXV0rC6jqplRYUnKlRZoivp20ToKlbvcPD5L1l89Gws5a/T35xL8jHuwxSefiCClEw/3/5uwePNf+koF6uiawsD3/xmpWF1LRmWAFnWAHaXzNBeJob2KjweR5Zl3p2VwZqdTlQKPwM6hzGiT3j+RNYvM2NhFlv2uXhjVFTJzQr/YXh9Mos32PhxhZWWdXWM6BOWK1+tVPHrr8IzrkGDUve8yrXuLKxJ2MFjIjJj+HC4++5iX5yWGHPn5pYqtG0rpno7dcr35renxkoZlauF8/y9eiZ2n0miqZwwDCxlaNQSzw+J5NBpL+m6SJZMXikMwg4eLPVt5SAhAf7889a1xiCHBAE82MPMkbNe7K6r9fU7GhtYv8tRrIcKNyvQqCWSM0s2TWd1BNGqRTBnVAEOyiWBzy/zxSIhNv11gx2LI8CovmG5brP7qJsvf82iRgUNKVYD7z8ZSXSYikBQ5p3vMnC4AlxK9XHmkp93HotmeO8wAgGY9G0G+096mDYulvmrbPy+yc4nz8XSrLaezXudDJ6QyIZdTlrX1zPnjTge7hOWiwQFgjK/rrcx8q1kTCEKtGr46U8bMhLj7g+nWS0dT36Qwuxl+ZMgpQLKxihRqyQ6NjPy5fgyTBsXi14r8cqMNMZNS0Wjlpj5UhmmjImhdX3DLSFBTneQbQddzFiYxSPvJnHf+EssWmcjzKTkmcERLHm/LFPGxPBAVzPNauuJDlP9q9sJ/3Z0bh7CoO5mXvw0lfTs3AdGhTg1k0ZH8/4PGdSsoGF471B0mvz39YUUP+t3uRjQyci+4x7KRCiJClNiMkjMXmbjq8VZhT4PSZIYPzyKezsa8AeU/LbRzruz0q8Jib0KtUpi7MAIRvUL48XpqSzZaOPffG2vUUvc19nMnDfiMKl8jHgriW+WZOc7LXfTaNJEEIS6deHtt8VAya3AjBkikmPNGjG9Gxcn5BBeb9H3LSkeeEDYvlyB0SikETeJW0RF/zfRtntlzp/axSvOb5l+8RilpxC6irpVtHRrGcKJC16+vVCVpp/+SLm9ewsd3b5p1Kwpsrr+AXRqFsK0uVl8vcTCuPvF9F37xga++d2Cyx3MJdjMD5IkUTFOzdlEb4mCUq2OICaDRIYlQHT4zROhxRtshJuVRIUpmDbXymcvxOYSA59P8THx6zSqlNWQlh3k3qYnCTNVIRiUef+HTFIy/VxK8xEMwpzX4ygTpcbqCPDazHQMOokJIyN5d1YGWo3EZy+UweeTef3LVPYc8xCU4d0xMfma0J284GXaT5kEAjINqmpYvsWBBNzVLgRzCHw8P4v81gkJ0GqgcoKGM4k+GtXQM6SHuIJadjldPipMRd8ORjo2MRSrjVlSeH0yh0572H254nPigpfKCRoa19DxSD+R1XQrtnsbV9H/TjPZtiAvTk/jo2dic0331a2i5fkHI5nwZTofPh0rjt3l2bjzWe9OXfKh1UDHJnrW73bRvI4OhSQh4eenlaIyOWZA4ZWhUX1DSbl0nM3Hy7LjsIcXPk1h0uiYPHYRIEhcpXg1b3yVzpEzXsY9EP6vPlZCjUrG9A+n35yhfOUZxUMbqzK0byS98jFFvWGULw/ffw+9eglblldfFdX/wYMFYSml7EwaNoS33hLu/iCEzcOHF+q+f8OQJPjsM1HlKlNGTED/8AM89dRNPey/90j5l+KBxxtTrYKWt87WJ1DQPOlN4uE+oaRnB2haW88UZ0cCPXvdku3kwj9gSw+CyNzZzMCq7Q6Cl/dfdJiKamU1bDvoKtZjCCJUMr8NqyOA0SB0Ijc7um2xi/HY4b1Defu7DJ4YEJ5r1NViD/DyZ6lEh6sIyjD5iQh0mgCyLPPx/CzOXPJidQTwB+D7ifGUiVKTlO7nyfdTqBCnZvhdoTz7USrVymt45zHhUD18UiIXUgOYDAo+f7FMHhLk8gSZuSiLZz5KoWKcirNJPjbvd1OjvIZJoyNY8ZeDH1c48pAgCYgKlWhRT4dSIYw9vxxfhg6NDXy2IIuhE5NIzggw6dFoZrwYS49WxlJbYGRZ5shZDz/8YeHZj1Po+9xFPlsgTPwe6GZm4eSyzHixDKP6hdG0lv5fvbD9L2FEn1BqVdTw6ow0PN7clYp2DQ0M7RXKS5+l0qm5gcHdzWgKuB45fMZHhjVAvaoadh5xExetJDZShdkgsWidjU/mZxb5XBpXTOPFB8Owu4KcTfLz5PvJBfrzVCmrYcaLZbC7goyZmsKltFLw5MnOFvYZKSk3/1jXQ6ej7PuvMPHrXrwxdwArvt7ByOeOsG1HRulVtXr2vEpQQJjcqlSlOugDwPPPi+pT5OUhli5dYP360t3GFdSpIypO27YJ1/9x4+Dll8n3Cq+YuH1mKSEkSeK5SW2wmWL48tfsW7INnUbBc0Mi2Hvcg88vM3//v3dE9EYw4q5Q3F6ZNTuvmine0cTA+t3FM1esFK/mbAmNxyz2IDqNRHRYyTQk+WHWMgut6un4baMwBeza4upJxeeXmfBFGoEAhJsUTH4imhCdAlmGLxfbOHjKg0YjkZIZ4IuXyxBqVHLsnIcx7yfTtUUIzWppef6TNIb0COXejiZe/jyduSssJMSoMekFCbpev7HtoIuHJyVx+pKPEJ3Eir+c6LUK3h8biT8g8+oXmfm2wKqWVdG9dQhev4RaKTF5TDQ1Kmh55fM0Pvghg5oVtfw0KZ6XhkZSq6K21NpO55N9fPt7NkNeT+KNL9NJzQrQu42RHyfF8/WrcYwZEE6b+oZ8r/xv49ZDkiSefiACc4iCN7/JIBDIvcD062Cic7MQXv4sjb4dzAzubqag8Pl9J7yolZAQrWLXEQ8xESriotWYQiQWb7Dz/fLsIp9PxyZ6poyJxuEKkmUL8MTUZI6fv6YMdemSCAwFjAYFbz4SxZ1NDDzxXgpb95fMsDUPwsJAq4WKFcWCm5h4c493PerXh8mTqZe8k+nfd+HBpS/x8fTjPPf6UU5eKKXW0qRJV/WsCgW8/z7s21c6j30FCoWYbh4yBP7+WxCiTp3g3XfJ15r8ZvH221C2LPz0E4wZI2xmRowQwzk3gNtnmhuARqPgzReqsmG3k+Vb7EXf4QbQoJqOXm2MuDwyc1da8rjA/jcj3KyiSlk1c5ZZcn7XvpGBvw+7cbqL/tBUjFNzpoREyOoIolIpiAq7ubbY2SQfq3c4qBin4eRFL08NvFrel2WZaXMzybYHCTcpefuxGPRa8RHbdjKOHYfdlItVcei0l/eejCYhWs22Ay6e/ySV0f3CkGX4aF4Wb46Oolo5DY9NSaZsrAqVSkHZGBVTx8bkCqjMsASY+HU60+ZmEhWmZOcRN+mWIKP6hdK5uYHnPsng1KXc+0mlhDH3hTG4u5lMa5CM7ACvj4oiNkLFi9PT2HnExaP3hjNnYjz3dzHnG4h5I8iwBFiwxsrod5N48v0UsqwBXhgSwU9vxfPMoAg6Ng0hwvzvnfr5/walUuLVhyOxu4I5PlnXYkSfUKqW1TDhizQGdgmlbwdjgWRo1zEv5WNVGPUKDpz0EBmqoHysmhC9xHdLrSzdbCvy+TSpqeez52PxeEUL9ZmPkq9WkCMj4Y474I8/AFAoJAZ1D+W1EVG8/0MmP66w3FyF5emnxaL78cciGHvMGLhw4cYf73o89RR07owCmTtP/s7sjHdp1iKaZz9OZcqcjDx6rRJDpRKEoW5dMeTj8UDLluL1lKaeKj4e3ntPZDHu2CH0POPHQ58+wnKmNHFlsEGhgE8+Ea25774TQm1nycnvbSJ0g4gIVfLWo9HMXJTFvhPuW7KNEX1CaVxDR4heyetfppFpvQVxG/8hPNQzlKR0P6cveQCIDFVSo4KGvw4U3R6rGK/mfLIvz5VqYbA6gigkbpoIzVyYRdcWIfy4wsKrD0fl0jT9tNLKoVNuLPYgTwwIz9EM/bTSztGkcOpX0bB5r4tx94fTsLqepZvtTJ6TwfjhkWw/7GbdLifTny+DyaDgpemp9OtgZNMeJx2bGHh5aGTO4wWDMks22nh4UhJWu5jIOXTaS6t6Op6+P4zZyywsWpeboEsS9GkXwlP3h7NgtY39Jz28+nAk7RoZmPR1Olm2AF+Oj+Odx2NoWUoTYA5XkBV/2Xn+k1QefD2RQ6c9PNgjlAXvJvDs4EgaVNf9oz5Dt1EyaDUK3n40mmPnvHy9xJLrb5Ik8dyQCFRKife+z2BU3zAqxeffI5Nlmc37XPRqayAQlDl90YcpREGVBDV6rcS0uVls3FP0sES18lq+fa0MkgTBoMTb36bx20abmKjt1k20gUaNEh5vQJOaOqa/UIbVfzt5Z1ZGnjZf8XeE9mq4s8cjNCpt28KePTf2eNdDoYDZs4Ux7J13ovljKfe/0pk5Qz3otBLDJyXx00priSIj8iAhQbj8t2kDe/cK1/9x4wRJKc1BmSu6oJAQoU+aMQNWrRLC7Z07S28710KS4JVX4MsvYfly6Nq1xMTrNhG6CVQtp+G5IZFM/CqdpPSbZO35QJIkxg4Mp3ENLW6vzLMfpWCx/2+QoVb19Oi0Et/8dvUEK6bHimbzoUYlRoOCSyXY5xa70OhE3wQR2n7IxZlEH7uPuRnaKzSXD8jGPU5+WWOjQXUdjWvocpKyf1lrZekWB9Vis1i5w0Xf9kZ6tzXyzZJsvl9u4bURkcxeasXjlfn0uVh8fpnnP02lbUMDi9bZeOzecB7sGZrTljp9ycvYD1JYssGGJMnsOe4hKkzJ7All8Ppk3p+bncfjpU5lDWPvC2PPcQ+/b3LwzKAIRvUNZeYiC0s22Jj4SBSvDI8qkfi8IPj8Mlv2OZn4dToDxl9i9Q4HdzYz8PO7CbwxKpq2DQ3/MYfp28gH+/ZBRkaBfzYaFEweE82f2+z8fTj3RYpKKfHGqCjOp/j44Q8rr4+KRp/v9LqELMvMWWZl3MAwMq0B0rMCaDUStSpq0GokJn6Vwe6jRV8ExUWpmT0hDpNBgdcPs5ZmM3eFBUaPFgvi11+LdtO6dQDER6mY/lwsDleQpz9KJcNyg+fPXr0E0bqCPn2EYLe0EB8vnvv06UIAfOECoe2b8pTxLz5+Jpa/D7sY8VYS24pxoVggypcX38PD4ZdfRHbmqlXiddwKPY8kCef/LVtE5alNGxHtdKum+kaNgoULBeFq3x4uXiz2XW8ToZtE+0YG7ulo4pUZabdkBFKhkHhuSCT1q2mxu2Se/TgFu/PfFTp4I1AqJHq0CmHHITfZNnFyatfQwK6j7mLtx5IKpq2OIL4AeTK3igt/QGbmwixa19cTolNwT0dTzt+uBKk+OTCc9bucjOoXBsDvm0QUQLcWevadj6FOJTWP3B3Gu7Mz+OuAi6ceCGfy7Eya1NLx5iNRZFkDPPtxCjXKa9iyz8k7j8fQqZnQH7m9Qb5anM1T01IoE6nkbJIfh0vm1eGRvPVoFI9OSWHXUU+u52zUSwzrZcbtlVm80cGIPmG89WgUq3c4eHVGGj1bhzDjpTLUq5q/R1VxEQzK7D/p5sO5mQx4+RKzl1uoVVHD7NfjeH90KD1aGIoXcHsbV3Hu3K3RVlwPlQq6d8+pouSHqDAVY+6L4KOfMnFfV1Ux6BS8/Vg0v22yY7EHeWZQJAZtfkRXkKEps9J569EoziT6CAYl7K4gXZrrUSjghU/TOHHek899cyPcrGLWhDjio1TYnDIL11n57nAkcvfu4gbnzglPm0mTQJYJ0SuY9Gg09atqeWzKdfqikuCjj4RmaNw4QViGDQNfKYak3n23mODt2hV27xaGvb17U/nLt/lgTCQj+4bx0fxMXvoslQspN7ldSYLHHhMtrNBQsb8mTLhhjU2haNpUvJ4uXcQ2H3xQeOPdCvTrBytXChLUujUcO1asu90+O5UCBnc3U6Wsmre/S7+5SbICDkKlQmL8sChqVNBgdcg8/2lKsbQ0Jd1OqaMI5t+/kxjfnL9anIQjQpXUrKhh6/6ir3oqxZVMMG11BPF45RtrjWVn8/smOyF6BWnZfrq0uBpSKcsyU3/I5JG7w9m0x0XvtkbiolSs3Gbnu98t9G1vZNF6Jwatj+eHhPHKjDQyLQHuudPI5FkZjL47jJF9w0jLDvDsexeIVLlJSvMz/fkyOVUluyvIcx+ncuychyoJatbudBEVpmDphwkcOedh1DspeVyh72yqp2ysij+3OxnQycyMF2NJTPfz8KQkDM5s5jg/pE/9wE21wM4kevlqcTaDJiQyeXYGZqOCj5+J5cuX47ivs5nooFWc1LMK9425aciyuML94Ydbu53ERHG1/u23t+6q9gosFmjevNgn8htG9eqiKvTYY4USrw6N9FSIUzNneV7CFB2m4pG7w5j6QybtGhro0NiAQXfdcSWJfwKyxLTZKUwaHcXuY24SolVs2efmvi7iwmLsB8Wreut1Cr4cH0etShosdpmlm2180XESOe9Kly5iXPzy51SpENEzD98VynMfpxR7MCMXqlWDRYtEbNDkyaL1M2RIyR+nMFwZSKhQQcQfjRoFb76JdM89dGikZ9aEOGpW0PD4lGS+WJR18xff9esLcfOIEYI4dupUuuTuCiIi4LffhHj6p5+gRYtbd15o315oofx+0TItBm4ToeKiEPIgSRLPDY4g2y6u2m8IK1aID1oBUwkqpcSEEVFUKKMm0xLkpc9ScXlu4EOwbZvYztGjN/Y8i4tdu8SH7NSpAm8SG6GieR0dSzbYcszSOhZzeqxivEZUhNavh86dxXhrIYZhFnsAhyt4Q60x29sfMHv+RR7e9SG7j3poV/dqS+zQaS82R5AKZVTsPe5mcPdQjp3z8Nkv2dx7p4n5q20gyfRtfIrvltkxGhQM6RHKF4ssTHkyhs7NQ0jP9vP0hylINiumw3v49O+xxEWK52l3BXnx01Siw5WcTfKy/6SXxjW0fPJMNINeTWLh2txXVvFRSto00LHvhJcerYzMfj2OUKOCR95JZvtBFx+OCuGpj3pi/uJjUd4v4YIuyzJ/H3bx5PvJPP1hKk53kFeHR/Hjm/GM6BNGhbjLIsbz54WOYtMmUXG4VThyRCx6AwaIQORbCVmGDRuEFuFWGzfWry/ISXz8rd2OWi1aMu++W6iFhiRJPHV/BEs32fId3OjZOoRwk4K5f1oYc184ESZFXvG0BLIkkWxTsmGPi+eHRLB+l4vOzQ0s3eSgb/sQfAF45J0k/AWlu1771FUSHz0dS8t6eix2mdUZMXzS+xOC77wLb76Z73vUvZWRdx6P4dP5mcxedgMi6o4dxfcXX4QvvigykPmmoNOJY+3rr0VbTpLQaRQM6x3GV6/EkZThZ+jERFZus+dYkdwQQkLgq69g3jxRGbpVDusKhRjlX7NGXCCFhd2a7YD4/GzdKsbri/PUbt0z+R/D3LmF/lmrEWng6y4nb5cY1atDaqroqRbw4dSoJSY9GkVclIqUjACvzUwruYCuShVRBh89+taW3suWhePHxWQCFLitx/uH4/WRM33XrqGBPcfcRbb/KsapOXMgSfScr3ywfvutwNtbHUFszuANVYS+dzSk2YlVWHYfoVrKPiICV6+Kf9too1ebEGYuymZor1CMBgWzl1lo11DP/FVWJAleejAcm1vDnmMeHr83nKk/ZPLEgHBqVdSSZQvw1AcpOBwBmh5fwbuLB2HcvgHefx+7I8ALn6YSE6Fk9xEXmVaZPu1CqFNZy6AJKWTZcu+joT1NaNQSEhKzJsTRuIaOCV+kMe3HTIb3DmXaU9FUeXmEyMkLBoU7+tatxdoHsizz1wEXj7+Xwkc/ZdKtpZEF7ybw1P0R1K1y3Wj9/v0iX+7IEfGzwyFGnEsbHo+IbxkwQIwEDxlya6udCQmCMGzefOu2cS1GjACTqejb3SweeuiqfqQQxEaoeKhXKO//mJmn8i1JEs8OjmDhOhtJ6X5eHxWdaz2VkCDnC/7c5kCvlejROoRF6+zc1S6EnUfcNK+tI90S5PlP0or11BUKiTcfiaJNAz3ZNpmtte7ig7KjCDRvUeB96lbR8tkLZdi018mkbzLytPuKjUceERcTtxojRoh14RqUiVTxLFwOsgABAABJREFUxqhoxg+PYt4qG2M/SOHo2aLbioVi4EB4/fWbe4zi4I47RFXtVl9MVKwoptiKgdtEqLh4912R2F4IIkOVTHo0ms9/yeLAyRJOklWuLLbx+++Fki6dRsE7j0cTFabkQoqfSd+mlmw70dHiynnjRjFueKsQGyuulr79VlRtvvoq35slRKupW0XDnOXi6izMpKROZS2b9xVeFaoYp+ZSwIxvwSLxi/37xVVAAbDYA7i9colHtGVZZrVcm0G7p7OhUg86tIoQ+xDItgXYvN9FmEmJwxWkd1sjx855OHLWy+EzHgw6Bfd1MtOwupZ1h8vx6D1mflhhpVo5NV2aG7A6AoyZmkyGNcgg/uKZ9S+jCvqhZ0/sgx7m+elplIlQsv2gC5sLBnczsXW/i+//yN2eKBOpZPywCH7d4KBrSyMvPRTBTyutPDo5marlNMx6PY6OTUOQpk6FxYtFDtB998GUKdC4caGvPxiU2bzXyejJyXz+SxZ92xuZ/UY8vdsaUavyOZFlZwvB4vjxold/5owgKwkJJdrvxYJWK17H6NEimfrZZ4Xm5Vbjn9jGvxR332FClmHJhrwXewnRah7qGcrUHzKpGK9mdL9wzCFiicnvcu3t7zIY0sNEdLiSVdudVCmnQaEQnkP7Tnj4/BdLPvfKC4VC4vWRggxlOBTsOebi3VkZ+AuZKi0TqeLTZ8VwwrhpqaTd7Ij6fwiNa+j4anwZ7mwawkufpTH1+4z/qenifwq3iVBxkZgoVPZFoHp5MUn2xlfpBTqgFogxY0Q7YexYkbBbAAw6BVPGxGA2KjiXdAMH/dChosT73HOipXT+fMkfoygcOgSNGolqQOfOhealjbtftBWv+IJ0bRHCb5vshZatjQYF4WYVF9v0vvrLazLNrkUwKGNzyISbFCW2r0/JDOBDSYztEjsqd6Hdg81z/vbHXw6a1dIJ0nFPOEqlxOxlFprV1pGSGaBqOTWDu5v5YYWNCKMbrVokwT/9QAQOt8yj7yaTnhXglcEmBn4/BikhAZYuxTbjO57/3kdshJLN+1x4vDCyr4mfVtpIt+S+eh3Rx8QdTUKYsSibCSMiiQ5TMvTNZM4l+/hifBwP3xUmvIz++ksIFufPF5XH+fPhnntAn3/4bDAos363k0feSebrJdnc18nMrAlxdG9lRFXYPgwLE068TzwhWlYVK4ocotv4n4BSISo/s5Zmk5qZ9/x2T0cTkgSL1tno095IvSoa9PmKp0VR8ukP03h/bAyZ1gASEsnpAdo21GPQSizZ5OTAhYhiPa8rZKhtQz2p2UGOnvPw5tf555NdgV6nYOIjUTStpePxKSkcudmKyn8ISqXEPR1NzJoQh1IpMfzNJBassRZKBG8jN24ToeKia1d45x0hYiwC7RsZ6NdBTJKVSNSsUIgKitMpFhJZLrClZDQoeH9sTK6TTLGF2pIk+tsulyBfd91V+sI1k0nsLxDZM2fPFnjTivEaKieombkwGxAu02lZwhunMFSMV3P27kfED/HxEBWV7+3sriCSAqLDS34lf/SclxqBi+xq0p/KFfQ5jxEIyizdZMMcoqBsjJoWdXUcO+fh8Bkvu4+6MegVjB8WxelLPv7Y6qRV1UQ+nm/lucGRIijy/WQyrAE+fjaWdkeWQN++cOgQto49eP4ToQnatNeFLMPou818vcTGtW+vWgnTn49h9zEv+0+4eemhSGYvszJnuYUXHoxg0ujo3OPwLVoI8nPffYXa6weCMmv+djDi7WS+X25hcHcz37wWR+fmIaWXgXQb/9WoVk5Dj9ZGPvk5K8/FilIh8fyQCOYst5CY7ueFh6IIuV44fRlBGVKzAnzzu4Xnh0SwbpeTu9oZWb7FwdDeoahUsPZweQ6eLB5BUSiEjrJtAz3JGQHOJfuY8EXh8gGFQmJk3zBG3x3Gi5+msubv4oU//xsRZlLyzKAIpo6NYdNeF6PeTmLnkZsYt/9/hNtEqLh4/XVBFqZOLdbNh/QwUzFezdvfZZRskqxaNeGSuWgRLFggJh8KIEOhRiXvPhGT8/P0BZbiieZkGdxuIcD75RfRVlq9uvjPsTgoX160+a5UHIpIPh53fwQXUv2cuOBFrZK4+w4jv6wteKQXLuuEKjaDmJhC22JWRxC9RrohfdCxsx5q+M6zod9LdGh2Va/x92E3CgVs2O3k0XvCkCSJOcutVCmrJtsW5IOx0Wg1Eh/8mMmQ7kZ2nC5Dy7o6GtbQ8vJnqaRkBhh3fwQ1K2pFde7rr7GqjDz3cQoRZgWb97lQq+CJe0OZ+Wvu/ZAQo2TKmCgmfpVB+VgVDavrmPRNOm0b6vn6lTia1c6nylNEllwgILNym53hbyYxb5XIUftqfBk6Ng25Jcnyt/HfjWG9Qzl10cumvXkX2krxGu7taOKDHzMx6iVeHhZVgL/QZf35LieyDK3r6/h8YRZj7wtj7p9WHuxuRCHJvDQjk6xitnuuJUOX0vykZPgZ/3nRgyWdm4cweUwMMxZm8e3v2TcnPv4Po3p5DR8/E8OQHqFMmZPJa1+kkXgLfO7+l3CbCBUXdesKzcuHHwrh5/ffF3pzSZJ4YUgEmdZALtPAYmHcOGGB/sgjQje0a1eBN71W87L3uPdyungRH2JJgpMncyzpAfjzz5I9x+KgaVOhd5IkQYQKeV51KmuJj1Ly8TzhCNq7rZGdR9yFfoCrltVw9GJAaEQKIUIOVxCtRiqRE/UVHD3npWrnemxPNdKu4dXMt9822gg3q2jfyECVshqOn/dy8JSHvcc99O9konwZDb+ut4EEIXqJNKuBYb2MTPginQxrkPpVtXRvdbkyU748VkeA5z5JxWRQsO2gG5NBYkgPE58syH3stK6v496OJiZ8mcHDfUJxe2HbARffvBrHgE7m/HU7hcAfkPljq52HJibx63o7j94Txpcvl6F9I8Nt1+fbKBB6rYIxA8L5ekn+pGFw91As9iDLtjhoVENHg2o6VAVch0gSTJubyYi+YRh0CuYst3J3ByMb97ipnZCBLMPj7yUXe8LrChlq10DP+VQ/FnuAl6YX7fNWu5KWz18ow7aDLt74Kh3XzViU/IchSRKdmoUw5/U4KpRRM/qdJL75LfvGJo3/TbhF/kO3iVBJMHGi8Fho21YQoiIgJsmEgd3KbSV4A6dNE5qkK224338v1t1kYOs+J5/9kl30SePuu4WI+bLwlxUrbo03Sr9+QpztdEJa4ZMgj90bzuEzXtKy/JhDlHRpEcKidQXnEDWvo+PASQ/2YaOFhXsBiAhVYncFSc0qmZ4qEJQ5ft6Lq1J1ysWqKRMpWk3JGX72HHNz5pKX4XeFATB7mYUyUUp0GolR/cJIzvAze5mF4b1D+XKxjc51zjHtJwsOdxCbI8izgyNyJq0s9gDPfZyKRi2x+5iH2AglbRvo+Pa33K+9/51GDDoFC9famTImmvW7nCSl+/nomdgSt/28PpnfN9l48PVElm2xM3ZgOJ+/GEvr+oZSC1e9jf9ttKqnJyjDnuN5W1dqlYjg+GpxNunZfkb1C8tFhK7l2IGgOHe9+VU608ZFczHVj9URJDpcic+vpFo5FalZAd78pvhREAqFxGuXydCZJD8eX5DnPknF6ij8HBAToeLjZ2JRKGDstBRS8tFB/TdBr1Mwsm8YM18qw+lLPoZNTGLtTkfppdv/0/jjD3jyySLXkpLiNhEqLlJShJOoQiH0LgcPivHdIhAVpuKtR6OZviCLg6eKKcYbO1YYW13B0qXFutuk0REEgrB+p4OvlxTDI6NFC+ErVKOGqHIdPly851dSjBsHjz9eqE4IoE0DA+EmBdPmiqrQvR1N/PmXvcBR+lCjklqVNGzPCBPC3wIQaVaCTInF6xdS/Bh0CvYec9Oh0dVq0NLNdsxGJfd1NhMZquT4eS+HTns4e8nHXW2NKCT4aF4mvdsambfKSs/WBk6nheFwBbHagzzePyzH4dpiF5WgoCxz+LSX6uXVVIpX8cdfV1sOCgke6mlm91EPLo/MlCejmb4gG41a4r0nY0qc0v73YRcPvZHI6r+dPDckkk+fi6VFHf1tAnQbJYJCIdG7rVHkfeWDWhW1tGukZ8EaG5XiNXRsEoI55HJe3nWnJn8Azqf4+fuwm1H9wvh1g50erQ2kWA20rKsjNETBht0uft9UdEDrtc/vtRFRtG+o5+RFHwqFzLMfp+Y42RcEvVbBhBFRtK6n54n3kjl0+r9TRH0tEmLUvP1YNM8MjmDWUgvjPkwtvXT7bX+JrLRirIc3jXvvFRfwVauK0Xh36eR83iZCxUVsrKgCXdG8+HxiLLgYqF5ewzODI3n9q7TiLcZaLXzzjdAjSZII9ytGbkq5ywnlvgD88Zc9z5h1vqhcWXjJtGsnqkK3ApIk/ITi4oq86Yg+oew47CbL5qdsjJqG1XUs21JwNa1tAwOb9joLHWlWKCQSolW4vTL2EjixHj3roVo5NX8ddNOukXjfvT45xwByQGehGZqz3EKNCmoCMjzcJ5T1u5xcTPUTalRgdwbp0crAoYuRJESrKBeromsL0RKz2AM8+3Eqbo/M6Ut+WtbV0bq+gW0Hr55QFAro38nE4g12OjUP4Yn+YYz/LE0kf4+MKlFul9cn8/kvWbw7K4Mn7wvn42diaVJTd5sA3cYNo0erEP4+4i5w/HxgZzPLt4qLmWG9Q/EXMsWlkOCrxRa6NDdQp5KGd2dl07XeWRasdfDI3WGolfDRvCxO5mPoWOBjKiRefViQoWPnfBh0Ek9/mFJk5phCITH8rjCe6B/Oy5+lsnL7f6mI+tQpcRF/GS3q6Pnm1Tja1NfzzEfCE+ym8yubNRd+bpUqiQGZ0k6avxYKhXDAtlqFqWXNmsKp+iY98W4ToZKgSRPhjRIaKn4uRLtzPe5obKBPOxOvzkwrXu9ZksR4+5IlYDQWuypUpayG956Mxu+X+XW9yLoqEhER4nVFFG9U9YagUkG5ckXerGcbE+YQBe99Lz5M/TuZ+HW9rcBR0LYN9Ow47C4yWTohRo1JryClBFWhY+e8GA0K4iJVJEQLd7hNe52oVBL3dTKj0yg4cUFog46e9dK8jh63V2b6L1k80MXEjyusvDwskoXrHJSNtLJlv5tnBomWWLYtwLMfpWLQSlxK89OtpYE+7YzMWnpVE6RUQPuGelZtdzBhZBQt6+oY+0EqHZuGMO6B8BKJmM8m+XhiajJnk3x89UocbRoYir7TbdxGEQg1KmnXQM/yLfkThXKx4mLm9812osNV9LvDnOOaDuQSUQeCggy9+kU6U56MRpJgw9FyPDkglDnLLTw7JAKFBOM+SMHlKf7ifS0ZOnTaS4RJwbhitr06Ng1h6tgYvlqczZeLs28uQik/yPKtNQGNixPdhaFDc9YrtUrivs5mZk2Ix+OTGToxicUbbDekoQSEPcZXX4kU+1deEef5MWOEDvVWoG9faNZM/P/cOWE4OXXqTUk7bhOhkqJZMyEsNptLRIRAtDfKx6p5Z3ZG8acS7rpLVGyKWX0CqFFByzuPx+APyMxbZS1UZ5MDnQ6GDy/2Nm4lRt8dxo6DbjIsfupX1RJmUrJxT/4GizERKiqUUbPzSOEl0oRoFVqNVCKd0NGzXrJtAdpf0xb7bZMdjUqiViURszFnmYXGNUQg7iP9Qvny12ya1tSxZJOdh3qGYtApWL3DSbrNwOi7zUSFqXB5RHZYfIySg6e9VE5Q80AXM+NnXNVAKCSoWUlDalaAmS+VQaWEpz9MZUh3M0N7hRa7iiPLMks22hj7fjJdW4Qw+YloIkNv+/rcRumhT3sTSzfbC7xYGdjZzKJ1Nrw+mfu7mnG4gzmmwq7ruim+gPjc7T7m4a3R4aRYDCSm+aleXsOh0146NTXg8QkTxJLgWjK075SXuCgV46alFGuaqkYFLZ+/GMueY25em5lWoqpykZAkQR6+/fbWZHwZDPDZZzBnjhheadNG2Gj4fESEKnnxoUjefTyaP7c5GP1uMnuP32CrqW5dUaEBoQf9/HPxukpZywOIffb221d/Ll9eyFZuorJ9mwjdCFq0EGTo+PES3U2SJF54KIL0rADf/l6CSbJ69cT0WAlQt4qWiY9E4w/IzF6WzdLNtyjt9xageysjoSYFU+ZkIEkSAzqZWLDaVqDmqV0DPZv3Fe6XkRCjRpIotvjR65M5nejl6Fkv7RsLInT6kpeziV6ybAGqldNw4oKX/Sc9HDzjISFaRbYtyNb9LsxGBUadgns7mpi7wkpctIoIo5vOzUR77Ze1NsxGBX/td6NSwsRRETz8dm4DzZ6tQ/B4ZT54Kobj5728OiONZwZF0Kd98SMXsm0BXp2ZzuL1NqaNi2VAJ/PtSbDbKHXUrqQhzKQoMCy5bhUtZSKVrNnpwKgXWXsJ0VfJeIQpt3hao4IpczKoUUFD44qpzPnDzsAuJjbvddK+sdARnrjgY87y7BI9zxwy1EjPnmNuKsapeXpaChdTiyYg0RuX89GYCIwGBWPeS7759Pdr8dhjwjeualWYMaPUdC856NBBaDRBXFTff78gLidOAFCrkpbPno/l3k4mJn2bzptfp9+YSPyVV4TeFER1plw5iIwspRdxHTp3Fq9r6lQhG+ncWVSkbhC3idCNomVLkW9Uwt6kTqPgzUej+HObg1Ul6TubzSV8gsJ+/bURUQSC8OWvWSWbXPsP49F7wtl1xENalp8OjQ1kWAMFis3bNjLw1wFXoU6qCdEqfH652K2xU5e8mEOURIerKB8r2mK/b7LTtJaOhGjV5TFf4SJtd8jc29HItLmZ9G1vZOU2Jy88FElqVoCVO+ykZgboVPt8TktswWorfn+QQBAevzeMEW+n5DqMHrs3jI17Xbw+MopVO5xM/SGTSaOjc1WmisLfh12MfDuJmHAlM14qQ9VymqLvdBu3cQOQJIm+7U38vqng88vAzmZ+Xm0jGJTp086Ezy+jvZxFlmkT4ukrXMjrB4dL5qvFVtpWTyQ6XMmUOZmMHRjBJz9n8eLQSDQqmL3MelUvJMsi3qUIKBQSrw6Pol0jPTuPuKlSVs3TH6Zyvihik56OtlVTXq59hh6tjTz5fgo7DpWSWWHFiiKM9Px5QViqVIGPPhKVldLClCki0f4Khg8XnnWXoVBIl0Oa44kOVzLy7STmLLcUKTnIBZ1OGPU2aiQGZD74QOQAlubruAJJElWnZ5+FZcuEFqpLlxs2Br5NhG4GTZsWaVSXH6LDVEwaHcWnP2dy+MytVdq3qKPnxYcikWX49Ocs1u387xD9dW0RQphJweQ5GaiUEvfcYWLBmvxbfOVj1YSbFOw/UfC+TIhWYXcGSckqHhE6ds5LhFlB9fKCQASCMqt2OIiPVlOjglZUg054OH7OQ1CWkZGIMCs5l+zjgW5mykSqmL00G7VS4tF7zBh1Yrs//GGhXhUth077qBin4pvfLHivOQePvT+UeausPDc4nLV/O5m9zMIHT8XQoLquWM/7WkH004MieOr+CHSa2x/z27i16NTUwNFzngKrK63r6wkEZHYccqNRS4zsG0646epxGWqUck6lEmKd+32zE4tTwxsjw7iQ7MfhDlKnkpb1u5w80C0UrVri2Y9SRFK9JBV7rPoKGWrfyMDfh93UKK/mmQ9TOJtUCBkaNAhSUpBatWTgiomMvz+Ed2ZlMH+VtXRG0V94QRAiENYpM2YU2zalWDAaRYq9JEGPHvDyy2I6+Tp9klGv4LF7w/ns+TIcPOVh2JtJbNzjLP5r7NBB6IU+/BA+/VRkG955Zy7Bdqmhdm3xejp0EIHbR45At27FSn+4HrfPkP8h1Kyo5ekHIpjwRdot96po19DAuAcikCT4YG4mm/feAoZ+C/DYveHsPeYhKd1Hr7ZG9hxzc6mAE23bhgY2FRLUGhWmJChDYlrxiVBkqPAFAsi2BQkGISVD6BVWbXdQv6oWm1PmjsYGDp7y0KaBnr+PuGnfyMClNB9rdjqpXl6T0xJLSvfz5zYHR895QAKlJONwXz3B3NfZyLqdbjo3M7DrqIdVOxx8+lwsVcoWr5qTRxBd/7Yg+jb+Geh1Cjo3DymwKqRQSNwXcZL5q8XwRscmBkwhyhyxtMUuEwgKEiQjCu1KJSzbV5HK8WraNdLz6fwsHrk7lK0HXNSooKZ8GRVOt8yrV7R1Op1waS/GoqtQSLwyPJJ2jQxsP+SmdiUNz36UwqmCJtJ0OtHCCgZh2jSaD2jCp61PsXyrnXdnZ5SscpIf9HpRBboCqxVq1bq5x7wenTuL6d2lS4We59NPoVevfCtp5cuomTImmjH3hfPFr9k8/0kqZxKLOa13xdNtzBhBhA4cEB2UI0dK7aXkQefOIo1h716RmGArvs0C3CZC/1F0bBpC77ZGXpuZdssdPzs1C+Gxe8Wk0eQ5GWwvrbLuLUSnZgbCzAqmzMnEZFDQtWUICwsQfrdraGDzXleBInSFQiI2QkVyRvHE0kfPeggzKtBeJkIZlgARoUqOnfdSo4KGc8k+EtN8yMj0aB3CnuNuDDoF0WEq4qNUfPpzFgoJXhoamSNsnrXMRq2KGrJsMi3raDmVePW5VC2rQpIk5KBMckaAY+e9fPJsbI6JY2G4LYi+jZuCxVKstlJR6NnayJq/CzDrk2W6TnmQ84lejp71oFAI41GD9uoSFKLLrXf1+SHDZmDdLhcvPRQByMxclM24+yP4cG4WzwyORK2CHYfdLN9qF4vtoUNwxx2QlFTk8xWVoUjaNNDz1wE39apqef6TQvx1HnsMNJcvSs6codyMt/msrwWbI8i4D0shwb5PH+jeXQib1Wpo3x62bLm5x7weTz4puhiTJ8OsWbBuHbRqle+ElyRJtKlv4LvX4mhcQ8fYD1KYviCrQF+3fHHXXbBpk/AYat1aeADdKvTsKWKpduwQ2y1BS+42EfoP46GeocRHq3h3VgkmyW4Q/8feeYdHUX5t+J6Z7S2bnlBD771JB5Fe7WLDjiAdsTcs2BBEARsiomJDxYYIoqBIkd57b+k9u9k63x9vKiRhQzb+1C/3dXkJYXdmd7PzznnPec5zBnaxcMeQEDSKxHMLkth2IMiivCAjSRJjrrWz+6iLUwkerultZeWmHLJKuBAb1NSiKCKTUxo1YzRk5vjLHMIIYiTH2SQvZqOMPs+nJzXTh90icz7ZS/0aWk6e95CQ5sOgk7GZhGHjsbNuOrcwcirezeZ9udx3TaFxYmKmka0HXGw/5MJuldm0t7CMp5Hhxr42Vm7KoXUjA4lpPl6bEIXdeulgpkoQ/R+mMrqISuLPP+Grryp8mLrVtThdKkkldWY6nejOnWKE8w8+/0VsZto1NmAyygVaoZzc4lohCdBpfLzxRSY+v8S468P4fZuT2DCFlg30fLc2i3HXh2EySMxekkpi007iiQcOiHJJAN5r+eM4Orcw8udOJ20a6Zn2ZiKHTpWwjkRHizFL+Z5lrVphad2E58dE0raRmGBfIamDJImS2C23iN9JbKzQvSxffvnHLItRo+DXX4XIuFMnWLu2xIfptBI3Dwhh4ROxZGT7uP2Zc/y0oRx607ZthXFvjRpiePnixUF6AyUwfLgY6/THH2KqQYDC86pA6H+MLEs8MiqcpHQfMxalXPImXVGu7mXlpn42dDqZp95JZNeRf3Yw1Ke9mVCrzKsfpVA9UkvbRoYSO+AkSSo0VyyFWtFa9Drpkju3tCwfNrOMz09BRig1w4dGI1E7VovfD8kZPhy5KkO6mtl+yEXrhgY27nbSpaWR+UvTMOolru5Z2OG17lA1wkLEMZvV0RZz1p1wUyhvfpHOmGtC+WZNFtNuDcNouPSlmZrp44FX4omwX4YgujJq9iXhcFSOWLIkKmiq9o/jiy/g9OnKP8/vv8PHH1f4MIos0aiWjgMlbUZyhDZx2MLxbN6dw9kkD5Ik0f8KMw1qFmY9zUV8hVTA5VVwe1TmfZnK4G4WakRrePLdZB64zs7GPU7CQmTaNjKg00pM+CEU1Zp3zSUmwpNPBuR2LMsST98bQadmBn7f4aRDEwMPvZnI/pKCmsmTRcln4kTRLPPuuyh52a37r7HzyNxEVpQnSLiQuDiRsalZU9zMmzcXN/dPPrn8Y5ZFt24igxIbK8pL779f6kMjQzU8fmcEz9wXwY/l7UKuVQvWrRPZulGj4JlnKmekEwiB9uLFYpD4rbcG9JSqQOgfgEEn89o9Fhx7DjFldjxpl7CArxAeDzdtnc/wK/QY9DKPv5VU8gVfUbxesbspZ632QkRWSMwgO3LGzQ15niSefIfanBxRh87KontdD3/scJYq7KseqUGnkUhIvbTFfq5bxeVWRUbo2DFSzqbjT0unUU0tp+I9hFoVJAn6dxHapVoxGpwuFbNRYvshF91aFY6s2HrARWq2gZPnfXRooufPXYWfd9vGer7/I5treltYvS6VYd4t1N3z2yU/F6fLz+Pzk+jW2sTkkeUURCcni9TxZ58F/pzLITdX7Mrmzavc86iqSPPfdVflngeEa+7kyeCrxGs0H1mGLVsq/zyhocJhPggBa6PaupKzstnZMGgQIffdRp+GHlZsEIFR305mDp/xFmSBclzibRdmhVSsJolfNjs4esbN8/dHkpjm4+eNDiaPDGPWkjTuv8aOXgfJ6T5mD35TBA8jRsAHHwiX/gBQZInpoyPp0MTAb9scdG5u4NH5SRd3qrZoIWZOvvaauIZ++KHght6ng5mZE6P54PsM5n6ZdvkGhflERMDq1SJ4ePvtyvvO1akj2ur79RPv6xJZlJb1DcyZGl3w97e+DrC7LCREdHjdcw+8+26F2t0vyS23CHH45s0BPbwqEAqUVasq9fCmP3/lude70/j0XzzwSnzgwrTysm0bPP44ty+dRL9OZox6mYfnJXI4WHNn8tm7V3hjPPNMhQ91ZXsTkXaFlz9MoVldHZGhCmu3OcRub8cOMUB2/Hiav/c0OU5/qd0f1aO0qKpK4iXE6Ua9hNOlkuv2o9fJcPAgqe99Ss7BEzT69m1OHkpGkiDUKhNmU9hxOBenS6VTcyOfrMjEZlYKJtX7/SoLv8/E45PRKHDsXOFr0yoQZdcQalOoEaXl1BkHt88bCTfeKEzPSgnofD6V595PJiZCw+ir7eX/QB9+WCwQ06YVeIkEHY8HbrhBXDdvvlm5tvu//SaEmI0bV94uM5+wMOFdovwNGqyRI8V3u7J5+GGRCTBVXFzfKE7PwZMlbKxq1xY3wddfp3PP6mzZJ262kXYNreobaFCrMCsUaZdRyRdOS6Rnq0gSzFuaSs1oLf06mXn/u3RaNtDTpqGej37K5NFREeh18ENoL/Z+vUkExuVEkSWeGx1Ju0YGVm9x0KWlkcffSmLn4QsCA5tN/P4/+0wIdIsImxrW0vHWIzEcOuXm4bmJFR9fYbWKYOv77yv3O2ezic6r334TwvBLUNTVPindxwOvJHCyrK67fLRaEQRt21Y48LuyuOsuMZ4qAKoCoUCZNKnC2Y0yGTYMZdJExs0dwY32g0yencjmfZUgaO7UCV58EWnJEu49/THdWhkx6WWmvZEQ3OCrVSshLpwzB3btKrX+HAiSJDHttjCOnfWw87CL66+08uXqTNQ1a+G668SDPvwQxeOmS0sj63aU/Lnlzxu7lJeQQSehquB05WWEWrQgRQkh1RRFI2MGp5xmHLl+mtTRc/iUG6tJZs9RF/Vratm420FWjo82jcRi8ttWB6mZftxehX6dDKRkFO6cerc3se1QLhNuCGX+0jQmZ32F3ucSi1LLliU6paqqyhufp5HtVHl0VHj59UDr1gkX24gIGD26cgzPVFUsdk2bihExW7dW7viWK68UPimPPFIhd9mAKWOu3f93GtfWcfCU+2K9YxGbkVYN9Bw/7ykYftr/CjMZ2YWPj0/1C4PFvF+lLIFJL7HrsJsjZ1xMHhmGViPx3PspjLshjC37c/H5hBGrxSjz6NspeL2XVyZVFIkXxkTSuqGBX/7KoUcbI0++ncS2gyVkSUymEr8LYTaFmROiiInQMPaVIKyrej3Y7RU7RiAoitBBlZMn7gilf2cz42fG8+Of2ZdutZckiIm5zBdZTgJcd6oCoUA5exYee6xyz/HKK9CrF8OfHMLjPTN44YMUvl1bCcHXtGlw9dVIU6cwrvp+Orc0olWEJ0dAUX2gPP+8uNHefbfY2SaWzxa/KO0aG6lTXcurH6XQo42JjBw/2+N6iE6BInRrXbpOKDKvhf50YtmBkCxLGPKyQnqdBNWrkxhSg2ydjbix13My3oPXq1Kvhpbth1w0q6vn6BkPp+O9tKhvoHk9PSaDjNujsuDbdNKy/IQYXWw7ULggRoUq/LnTwdN3R/D5qizaNjLQ/tf3Rcvsn3+W2jr76cpMdhzO5bnR5Ru4CogszSuvwNy5YkbPE09UToAiSSIb+NJLohOmsnd+VfxjiA5T0CgSZ8qwqTDqZVrU07M1r1mjaysT2Y7imZMmdTQFMa1fhYwcFaNeYtYnaei0ElNuDmXrgVyOnXUz5eYwXluSysj+IYTaZJxulecWplz2e1AUiRljI2nZQM/PG3Po3d7EM+8mlWtjqtNKTL05jOv7WJk0K5E/y7D2+LcjyxLX97Exc2I0n67M5PmFKcEdQ/I3UBUIBcqYMULrEOx2xqJoNKIkEh5OhwlDmX2Xns9/yWTuF6nBHfYnSSJ1XLcu8g3XM6Grg/7e7fhViYmz4oNTJlNVWLpU1J+3bBGOn7/+WqFDPnFXOPEpPn7f4WBkPxuLfshAnTkTqlUreEzbRgbOJXs5X8IMIVmWiAhRSvcKKYJRL+F05wVCkkSirQY13PHoOnfkVLwHjxfqV9ex7UAuRr1Eq4Z6TsZ7cLpUOjYTvkHf/SGGxaoq9G1+kvhUsTjkhy93Dg3F54e12x2MucIBUVFCIFnKcNrVm3P4+rcsXnogihDLZaTJPR6Ryn/ggaCUQaqo4kIkSRI6oRNlX2PtmxjYnFce02kl+nSwYLcU3o7OJfnw+4tohSRQUTl4UmgF+3SwULe6lmcXJNOxmYH2TQwsWJbOk3dFopHhjx1ONuy6/OBDo0i8ODaK5vX0/LQ+h6s6mnju/WQ27gk8GJIkiRE9rUy/L4LXPknlo+UZwTFf/IfSsJaOdx6JQZFh9Izz7D9RuWbBwaQqEAqUJ54Qiv577gn+LJiiREWJVtazZ6kz+TbmTY3kwN5UnngrCUcgU+sDxWYTN8XMTKROnbhn7vXc2FWD3w9TXk8odZxFwEgSdO9e3M9j9eoKHTIuVkfrhnre+DyNgZ3NJKd72Xwuz9Y975w6rUSn5sZSs0JN6+o4k+i9ZO3eqJdxufzotRKqqpKptdI4To/Hq3IuyYuKaBfee8xFYqqPK5obOHbWzbGzHjo2M5Lt9PPJikyyHX4i7TIbjsQWHLtOdS1RYRqGdDMza0kqo6+2E6r3ii6HUkpV2w/m8sbnabwwJpLYiMsszZSSyq+iimDSuLauZJ1QETo0NbB5f6Hv14DOZtzewiAhLUulSW0NiuwXWiEVcl1gMcnMXiL0Zs+PjiAj28+iHzIYe10of+11kutWGTXYjtko8ez7yThyL1+jo9VIvDwuimZ19fywLof+nczM+CCZ9eUMsFo3NDDvoRjWbnMwfUFypXvG/S8xG2UevSOc2weH8PCbiXy2KrPSbWGCQVUgFChms7AOP3BAlHz8fjh2rHLO1bGjmKPy88+EPjiWWQv7YtbDhJkJwXOh9vuFuVWNGsLS3eVi5OkvuWe4HVWFh+cmFKSuL5vGjWHDBtFpAeJGX0EeuzOczBw/P64T090Xfp+BOniw6BLIo29HM8tLqVV3b2XCqJcu6aFk0kvkekRGKNupoiJTt3M9ziZ5sRjFZROf4iUqTGH3URdN6+jJdYn0fe0YDX/scBAdpuDyQP8rjJxNK2ylNxtkBnY28+XqLGxmmQGdzaJrx2wu8bUcP+dm+oJkHhkVTqPagXXBVFHF/4rGtfUlt9AXoU41LbIkceysKMU3qq0jzKYUm1hkNkt4/XLBzxQFFBkOnHRz8ryb6HAtw3pa+GxlJm6Pn7uG2Xnzi1Su6W0hJlxBVeHReRWbfp4fDDWJ0/PtH9kM7GLm5cWpZdp0lERshIY3H4xGVWH8zATiA5x5+G9E2CJYmPtQDL9uzuHR+UmkZv4NXZYVoCoQKg99+gi9y8svF1qUVxY33ijs4t9/H92ZEzxuXUO31kYeeCU+OClHWRYupqGhhT9bsIBh3S1MHhkGSDz1diJ/ViC9DIiy1e+/ixbQEycqHDyGh2jo1dbEgu8y6NPeiNPlF5Pn58wpEPp1bGrA64dtBy/+nDo0NeJ0qaVOys7HqJdx57XPp2T40OtkPKrMqXgPFpPoANt1xEX1SC3VozRkO1RsFoVOzUTb/KFTbjx5a92xIqW4Li31HD7jpn5NHZ+tymTKzWEFbfYlkZzu5dH5Sdw1NITOLYyX8YlVUcXfS6M4HUfOeMocgixJUl5WKLfg74O7WjAbCq+Fbfs96DU+bGbxM48X0rP9GHQSb3wuhmuOvTYUo17ixQ9TGdjFjKrCqr8cPHhLOIoCu4+6WbWpYsOmdVqJVydE0ai2jm/WZDOoq5nXPkllzdbyzW00GmSevkfMOBv7cjw7D/2zPdwqSq1oLXOnxVAjSsN9M86zZX+Qmn9OnxYO0kEsM1YFQuUhNVWIP0GYaf34Y+WcR1WFB0IRPZL03rvcMcTOmGtDefjNRNZsC4L4rl49oUl5+mkRGO3aBVu30qeDmcfvDAdJYsYHKazeXMFBrXY7rFghjK4qWB4DePCWMNxelUU/ZnLH4BA++D4DX2iYCE4RWqDhPSwsW3Ox0NxikqlfQ8umvaX7DYHQCLm9IhBKzfBhMkg4c1VOxntQZPHv2w668HpVurQwcuK8EFB3bCa6xQ6fcpOU5sGol1i/p1CA3ri2gc7NDbzzdRrX9rZSK0Zb6mtw5Pp5bH4SfdqbGdbDWurjqqjin0SoVUGWKNEBvigdmhjYXGTUT9+OZpwuFU3eXcmvQnRIDlkOFU2eJM6oB4tRYucRF6cTPGgUiQeuD2X7wVwSUryMuyGUhd+lUz1Sy6CuViJCFF77JLVCJTIQwdDMCVE0rKXjq1+zGNzNzOufpZV7bZRlidsHhTD55jCeejeZb3+vxE7kv5PMTLHRvQCdVmL8DWFMHhnGCx+k8N6y9DID5ICoWVM0fAwfHpB7eCBUBULlQasVepT8ib2HD1eOD4skiXb9zZsLy0qrV8ORI/TpYGbG2Cje/DyVj38KgvhOoxFeP3/8IYTNCxYA0KWliefvj0SSYNaSVH78s2K7KvR64bvRsGHFjoPYWY3oKabRd2puQJZhzVaH0D3lMaCzhe2HcktMQfdqZ8LtpSAtXxIGvYQnrzSWkuHDYpJxuvycivfg9grjxIMnXZxP9dK+iZFDp9xkO/20bWTA51M5esZDtpOC3SxA+yZaVm9xEBmqISndx839Q0o9v9enMn1BMrVitNw9rPTHVVHFPxG/Ktrey6JtYwP7Trhx5mkfw0IUWtTTF3NdT83R4/WJY8kSeH2QlO5HkeHtr0RWqF8nM3aLzCsfpdKyvoHWDQ189FMGdw0JQZKEB9ETb1fcvE+vk5k5MYr6NXR8+UsWw7qbefOLNH7eWP61sXtrE7MnR/HFqkxmL0ktNIitDHy+yvfXslqF4/bYsUJqcQFdW5l499EY9hxzMWlWQonNLOViyhThrdS0qWhiqqCrfFUgVB6sVuGLMmFC4c9++qnyzteypbA/nzpVBEd5QUrzenrmToth9RYHs5YEyaiuSxdhTqjTFdjht2lk4NXxUSgKvPVVGl+uzqzYOWRZzAAKAmOuCUGrkXj14zTuHBrCoh8yijm5Wk0yV7Y3810JO67OLU2oqsrGMgbPmgwyXr/QCKRk+rCaZBwukRHKdvgJsWgw6GQ8HhEU7T2WS1w1LUaDzKkEkQkCyMgqvEAHdzaTme3ll79ymHRTWJnt7x//lIHLrfLQbZfhFVRFFf9j/H71kt/bEItCvepathcpEV3ZwVwwkR4gO1dPTLiMTiu8vTxe0CjCE2zzvlzOJnqKzSQ8neBh9NV2lq/PJindx8SbwtDrJHYccpVb11MSBp3Ma5OiqFtdx2ershjRw8K736Rfls1J3eo65j8cw5kkDw/OSazciQKjR4usfGUFRJIEM2YIB+x69eDBByGpuD4rMlTDrIlRtG9iYMzL8RWragwZAvXrC2+/ceNEY86+fZd9uKpAqLxoNEKP8uab4sZeWeWxfAwGUYZbvVr85xZ6k3zxXWowLx6bDd54o5izaJM6el6fHI1OI/HR8gwW/0NaQGVZZuy1dn7f5qBOrAarWebnjcXT1CN6Wli+Puci+/eaURosRlm4U5eCUS9hNkgkpvlQZLEbdeT6Sc3wke1UiQyV8ftVvD6xMMen+riiudDwHD7lLphRlpuXdJIllZ1H3bRrbESjkWjdsHTRc47Tzzdrspl4U2j5vYKqqOIfgN9/6YwQUEwnBKLjDEmi6FPDbODIVQsaHg06iXPJXpDg/e/SATHeItQq88pHKUSFabi+j435S9Po3MJI64YGYsMVXlyUgstT8Y4to15m9qQo4qpp+XRVJlf3tPDJz5ks+Tmj3McKsSi8PC6KBkoS9z9/tnLGHSmKcCkfOFBseFeurJyAqGVL4eacmytGddSpI7qt09OLvBSJO4bYmX5vBPOXpjFrSSq5gYznuBBFEVWTfE6fFu/Le3mZpqpA6HIZN05Yn2/bVpBBqVR69xbjCop8qSxGmWfvLTSru5RRYMBcYOVet7qONx+MxqCX+erXTN7+Ou0fEQwN7mYlMlTh2fdTuGtoCIt/yig2tLZudR11qmn5dUvxgEeSJLq1NnH8rKdUSwKjXsZmVjh+zkNMuIYspz9vlpiMoggdhF8VJazMHD8+nxgFAnDotIcsh6+Y8LN6aDa/bc3FZpZp18hQpkD6+3XZtKivp061cgxRraKKfxCBlMYA2jQ0sPtI4c0/LlaLx1NkBD1w7GzhNWrUQ7ZTxeOFBrV0rNvp5HyyF0mSeOA6MZPw2Fk3N1xl5US8h417chl3fShZDj+qCk+/U4ESWVpa4eswyLw+OZpaMVo+WpHJNb0t/Lgum/eWpZd7bdQoEuNuDOeeVU/w8MzT/PBbJayvvXuL+WsbN0L//iKDsnp18AOi554r7H7NyRFjkEqYYdeqoYH3HoshJcPH2Jcv0337jjtEs4/dLspxTZtetj1IVSBUEQYOFCaBlTWv6ULsduEzVARFKVwxHp2fcsm28MulepSWedOisZkVft7oYPaS1H+EP8Rjd4Zz6JQHUIkJ01ykZRrR08o3a7IuWlh6tjGhUSS2l2SdT15GyChz4ryH2HANmdl+HLl+Qq0KPp8ovfn94PWqnEkQaZ+a0UL4fPiUG6eLgvIYQIjJRXiIOF67JqXP8nF7VJauzmRkP1upj6miin8y+euCHMDdJcKukFaktVpRJOrX1GG3FF47uW5oVleH3w/uvAyr2QAp6T7hDftjOiC0f2E2mVc/TsWgk7n/GjG6xmZWuHuYnbAQmb/25ZZZEi+TDRtEY0meHsWUFwzVjNbywfcZjOhlYf1uJ298nlb+tTE2lr5dbMz+fBiffniImS/tKrapCwozZwqdK4hGnAkThDY0mMTGiqYVWQaLRcwvK0W/E2JReP7+CIZ0szDhtQS+/+PidbpMzGaRkNi4UWhpr7sO9uy5rJddFQhVlBYtoHXr//WrAGDijSFMX5DMD+sqKGwuhchQUY6LCFH4fYeTGYuSKz5huYK0rG+gSR0dLy8WWqFPVmQUS7V2a2UkI9vP3mPFdxwt6uvxq2qpdWqjXsagkzhxzk1MuIb0LD+OXJUwm4IE6LUSflWUxs7mjROQJHETOHTajaqCw1XoJJ3p0NOrrYG9x9y0bVR6ILRyUw41orQ0q1vlF1TFv5P8GCAQbZvdqpCR4y8WODSuraNmTPFsaIOaGiRZ3F+NOnC6ICXDR/0aOtZsdZCcLrJC46of4NApN4dPuejZxkiEXeHr37IY2t1CqFWhRpSG5xYk47mcWWS9e4tg4sYbC6oAZqPMG1OjqR2j5b1lGfS/wsT+E25eXpxS/rXxoYeol3mEtz7rT8q6HUwY8yfx24+W/3WWRr16xctJsbHQtm3wjp/P1Klw882igpGQAD16lNhRBiI7f01vK7MmRfPl6iymL0gm+xLdhsV48klo1EhUZ2w2MXKpqIlvgFQFQv8hOjQxMGtSFB//lMFbX6UFdyxHHnarwutTo6kRpWHLfhdPvZsU/J1LOXn67nBSM30cO+OhXg0dy9YWBoKKIjG0u4VvLhAzajUSzerq2bwvt8RdSLUIDVkOP8fPCd8gvQ4hkrYKgzdFERsdj08tmKskS3Am0Qt5h3PkJZskGc6mm4kOU6gZrcFuLXk8hs+v8vmqTEb2r8oGVfHvJT8BUGIcdOpUsb+aDBKKXLzVvmFt/UVBxPFz4rpSZDHyxpf3cEURAdfKTSIw6bHrCyIUJzM/SRWB0fWhLPk5g/QsP1NuDiM104vPr/L85cwiMxqhXz8xOqh7d6FLQWSG5kyNpn4NHR98n0H3VkbiU3xMX5BcvrWxVi0YNQqbK4MZy+/kisT1jF0EW4I5fPuJJ8R53nlHGOr2719MbhEUTCYxdPmKK0T5LSNDBENHjpT6lAY1xXgOo17m3hnn2XssQK1UfoarenWh101Lg6FDyy1XqQqE/mPUq6Fj3kMx7Dri4ul3kwtaU4OJxSjaSBvU1LL3mJtH5iX+T23jo8K0XNnOxLvL0rltoI3PVmaSU2To3+BuFjbudpKSUVxY3rejiZxcf4naqqZ1dZxJ8JCU5sOR6ycqTIMj14/doqACiiyjqmLRP53gQULsbg6fdqOiFtMHRdplaoRlc+S0l3aNS88GrdvhRK+T6Ni09MdUUUWl4Q7CjEHAr5ZSGvN6xcDnIkiSRIhFIb1Id2Xj2jrOJBW3tth/wk3rhnoxcyzv+EY97D/uJswms2ytcJKXdDrGr3yQI6fdHDjhol4NHVe2N/Pet+nUra5jRE8btaI1/LHDeXnC5Hwfue3boUMHUZZBZJBnTRY+Q4t/yqB1Iz1uj8rjbyWVb2189FFQFORQO3f88gzTumbw/AcpLPk5SE0qNpvodL7vPmFKuGULXHnlRR1eFcaYZ/7arh389psQUPfoISYzlPYUg8zDt4dz11A7j81PYsmKjPKVGFu1gi++EN3PN98sbAMCpCoQ+g8SHqIwe3IUGgUmzkogKS34du4GncwLY6JoWV/PsbMeps1J/J9OHJ56Syh+VeXnjTm0qK/nq98KM0ChVoVurYx8/0fxrNAVLUyoflhfwmRom1mhepSWCLvCyfMeYsI05LrVgsGQTpe/oARwPtlbsOgfOuXG7YFa0YWiPa8PmlRLZdtBF21LCYRUVeXTlUIbVJaQuooqKoXNm0V7dRDIzwhd9D3+9VdhP+IsnuGwW2TSi8z+qxGlweMBQ5HqWK5b+AU5XSp+P5iNkOMUwVb9mjrSMn1ivplWS9eDPxDlSmbmxyLrc+fQEDbsdrL/hIvbBtpwuKBahMIT7ySVP7gYPFjUwEFkOmbPhsREIK+1fmI0Tevo+XxlJvVqaDEZ4OG5SYGXe+rWFa3u27ZB7dp0Ht2HecPSWb3ZwdPvJhfb4F02TZuK/199tfDiOXBA2JqU4P8TFFq2hLVrxZ979oTdu8t8eN9OZuY9FM3a7Q4enptEakY5OqMHDhRmi999J0p0AVIVCP1HMehknro7gk7NjIx9JYFDp4Kz2yuKTivx9D0RdG5h5HSil0mzEi45zLSyMOgVbh0Ywk/rc7i2l4WlqzPJzCl8LSN6WflhXXYx47JQq0JMuMJvW0vWCTWvp8dkkDh+zkONKA0+v3CmVmSKGYIpilQQCB3O+5zttsJLKy3TT6TVwZlELy3rl6z92XbQRVaOj15tq6bCV1GElSvBU7rxZ1DIyhLt1drSXc7Lg18tRSj92Weii2j9+mI/tlsVMrILb/CyLNGwppg9VhSNIqFRRCnK5RYVaL0Wth/IRa+T+OTnLNDpkIDxvzzM8XMedh/JJcSicPugEOZ+kYZWIzF5ZBgOl5+MbD/vfJNevjcXFQWdO4txPrm5cP/9xRpYdFoxm6xlAwNf/ZZNVKiGahEKU15PID1Qq5PZs8WA75UrwWql+g19mXudE51WYuwr8Zw8H8TvQ79+4jxnz4pyXylangrTpIkYtaTXi3FL27aV+fAaUVrefDCGuGpa7p1xnr/KI3C//37hYzRnjvA1CoCqQOifRHx8UA8nyxJ3D7dzz/AQHpyTwLp8Q7HLEJOVhqJITLs1jL4dTSSkehk3M6GwBJWaWvmOpiBuFKrKLf1tWEwyi37MpGMzI5+vKswANYnTExWm4fftxYOeHm1MHD3ruchrCEQg5PHC8fMeYiO0SJLwMJElqWD4rSKLDjIoFEoDpGcWHk9VISnTRJM6OvS6ki+5T3/O4IarbCiuIOoByuLw4Qq7sQaE0ykEk38HrkrwYCmJ334TGZTKZvdueOihoAUopfL223D0aKlDf8vLuSQvESEX6OBcLlFGMpvFDbEIdot8UZDQsLYuz0OrcP3Yst9B9SgNRoOEIc+ny+8XGdfWDQ38tdeJW2sAvZ7O6ZuJVnKYlZcVGt7DgtOl8stfObRrbKB9EyP1a2hZujqLhNRyBha33SaMbhs1EtmbC0owOq3EjLGRtG2k54d12ei0Ei3q6ZgUaHZel5cKq1mzwBvHOGIQj99qY1h30WF14TpWIbp1E9m69HRRvqosO5j69cXvPiRElOMukYHSaYUlwrRbw3npwxTe/jotcAful1+Ga6+FRx4J6OFVgVCgHD9eucf/9VdhQLVsWdAP3f8KC8/dH8lrS1L5bPFB1AYNAo6UA0GWxbyfa3tbScv08cAr8cRvOyoWivffD9p5SuTwYWjQAJYvR178IQ/fFsauIy46NTPw3e9ZxaYej+hpZdkFouk+HcxIUMzdNp/m9fSkZPg4fjid2F2/I/u86D54F9XvLziuRiM0U5Ik4fGqOHLFhXo+b7SHXgs2s8ypVBttSzFRPHDCxfFzHjGFfsAA6NSpQHtQadx2m0hTB1soeSHTp4thxZkVdCW/FGfPilExf0fgvXIlrFtX+edp3BgWLqz880yaBFu3iusoCGw7kHtxCVhRRPC4davYrRchxKqQnl08KG9cW4fLrWLSFQYpG3a7aF5XT2a2H5dHRasBpxs8XhW9VmSi1tfpB1u3Im3axMTRdTiV5GPbgVwURbhPL/whA49XZey1oSSk+gixyOWfUD96tBAcf/wxLFlyke8aiOzVc6Mj6dDMyKq/HOTkqnRvY2TirATOJpUj8GrcWGh6XnsNSafj2ittPDs6gjc+T+Wdr9OC17Xbrp0oXz37bNAC4hKJixPB0HPPiYHcAXBFCyPvPBbDoZNuJryWIMw0L4Usw+LF8NJLAZ2jKhAKlDvuqNwdZ6dO0KYN3HTTRTumYNCqgYE3H4xm+TELr137Pp5xE4VYLkhIknAMHTU4hCyHnwc+13Oq8xDh85CfBq2MDESdOmIhuu8+uP9+OjfT07CWlneXpdO9jYklKwrdXnu1NXE20VusTFi3uha9TmLZmostB2LDFfQ6iaOpGmJmPS1++M23+FSpIJWvkcFiEi31Om1hiSwzRyxQkXYNFhOcSrHStnHJgdBnqzK5prdVZIu2bRO7zZ07g/DhlMKBA7BpE2RnF+gbKoUdO8SN78UXhadIZVK9ujjP36GvevFFmDy58s+j1VZOe3Np54mNDcrhth7IvbgpQKMRN9hGjcSooiKElpgR0pOW5UOrFK4ZaVl+2jQy4HCpVIvU4PeLX3e1SA07DuViNsh8lVYPmjWDxo3p2Ew4Sr/+mRhD1L6JgahQDT+tz8ZuFd5CVpPMyfPeEkfxlEr+d6x9e/FfKSiKkA50aWHg9+1OziZ6GdLNwqRZieUzEGzfXmiT8mjVwMDbj8Sw+6iLh+YmBl5yuxTNm4v7XGVTowaMH1+up0TaNbw6MYouLY2MeSmeX7cEkLUymUSZLACqAqFA2bGjXOKrcmM2Cy+EevVE+18l3AhrRGmZOy2Gc6168PAt35J15xjh9RBEru9j44HrQnG6VMY3mM7R+l2E0dXZs/DCC0E9Fw6HqHGfPi3SrC4XHD/Os6MjSc30Ex4i8/OmHE7nGR7qtBKDu1mKZYUkSaJvRzNbD+QW0xTl/1vL+nqynCqmqwfik2RONO2Bzw85ThHoaDUSVpNU8Ph8E8V8IXXNGA16nYzXJ1O3+sWup6mZPv7al1s4Xd7tFoK/++4L6kdVjI8+EgHqhg1BGYJbKnXqiO/X0KGBuetV8a/H7VHZc9RFmzK8si4k5AKNEIhNiCyD21d4zcgSBRmQqFAlz7cLQswS6dkqnZobOHDCXZCtlSSJiTeFcTbJy75jLrFZGxzCJysycXtUBnYxo9VKNK2jY97SNHIcwdc3KrLE43dG0KONiY17ctl33M0tA6xMfT2RAycuf2MdYdcwO8/Z+v6X4it0rH8Liixx28AQnr8/gne/SefVj1KC1q1ctToFysSJYsrtF19U3jnCwuDnn4WDdP/+cOxY0E9hMyu8PCGGaj1b8cD133P29okiAwFB0ygN6mrhodvC8PgkJvZZyD5XhEi9vv56cLNqJpMQYNapU/iz/fuJCtUwsLOZL37JYnh3C29/nV7wz8O6W/h9u4Ok9ML06o19hW/P939cnBVqUV+PSS+RMPx2jB4H22p1w2yQCkYIyIqExSgXjAQw6otfUiFm0WZfPTRbeKBcwInzHmpHa4XOSFVFe+v771duZuPqq8WsPEPgN6vLIiSkco9fxT+OPcdcVI/SXCR0LosLu8ZABDFRoQpOd2Eg5Ffh4Ek3ZoPIyJqNMhoFjp/zoFHE9ahRJH75q/A67tDUSKhVLphJ1qaRntgIkRVSZKFBOZfsEaWsy/EWCgBZlnjotjCubG9i24Fc1u/OZfQ1dh6em8TOw5c/CUCrkZh4Yxh3DQ3hoTcTL3LV/6/Sor6Bdx+LIdPhZ8xL8Rw9U/FGoKpAKFCefFKIyu65p3JHatSoITQIPp/IduQHJ0HUPmg1ElPvjGHQ0FqMG/wZO29/QrS1jhkTtHP0amfm6Tvt+L0+Hhy0mO1KXSGe/u67oJ0DEB0bP/9cWG/evx+ASSNDURSJk/FeDp92s2W/ECFHhmro097Mkp8LNSsx4Rrq19Ty9W8XW7y3qKfH64PjSgzRajr7dXFYzRKyJCpymdl+kQXKe1pR/yAAnx90Ggm9tuTd5ql4DzVj8hZ7rxfeeitoJYpSKSOdX0UVFWHr/hLKYpfgQh+hfGRZwqgrrgfZtMdB3epazid78fpUQq0yDhfUjNZw4IQYdvz9Bc761/a2svOwiyyHP6+EH8LHeVmh1g0NNK9noF1jA3/ty2XP0coZUSTLElNvCaP/FWb2HHHx0/ocJo0M5cm3k9h0uSM/8uh3hYXXJkXzyYoMZn6S8j83uP07sJkVnr0vghG9rEyancC3a8s5nuMCqgKhQNFqRfZBr4frr7/ICyOoNGoEy5eLIGjgQOGW+fTTQT2FJEncdE11pt5g5clus/jpkSVCqL1rV9DO0amVlRev9iJJ8NighWysdSV88EHQjl9AXJwIhkJDCwIhjSIz8YZQ1u9yck0vC/OXphek1W8eYGPVphwSUwsX2dsHhZCZ42fXkeIZq3o1dHh9KvuPu6hd04wLLRajGLgaYVcwG2S8XrWgt8ViLH5J5eSqBR0uJXEq3kOtvBllaDTiu1VFFf9SShRKX4Jsh/+i6yYfq6G4sPhcip/m9fTk5Ko4XSpaRewRY0IVTid66dnWSHKajyOnC7MEI3pakST4YpXY/LRuaKBmlKZgFNHoa0LZfjCXOtW0TF+QUmkDpSVJYsKNoQzpZuHQKTdfrc7i0VHhzPggpdRRP4HSoKaOtx+JITnNx8RZCcXWtv8qkiQxoqeV1ydH882aLJ5+N/kieUOg/OsCoXnz5hEXF4fBYKBTp078lV/WKYUvv/ySxo0bYzAYaNGiBcuXL7/8k1evDp98IoKFiRNh376ga2wK6NBBBCZ794od/IwZwe9cU1W6bf+CmX+M5cP2E5nd43ncM14O6ilaXdWIWdNqoNEqTO83j7WHZDhzJqjnAITQ74cfiln49+9soXqUhhUbcjDopYKFLzpMQ9+OxbNCnZoZMeolPlqeUeywGkWidqyWHYdd1GlXixCrBn1eYGMxyVjNMjlOtWDxNF8YCDn9ZQZCpxO81IrJC4SqjBSr+BeTmePj+HlPqV5ZpXEqoUhW9AIsBnfBIHpFEuWv2HAtJr2E3SqTmC4ySUkZPiQgJkyDViOxYmNhVshokOnQxMB3RYZ6jhoSwqcrM3G5/VSL0DC0h5WoMDEAdvHyyutwlCTRvXZ1byvHznn44IcMnrw7nNc/TeWn9RUrbdnMCi+MjaRjUwNjXo5nWykDpf8z5NnA1Kuh461HYrCaZO6bEc/uI+V/3+UOhEaNGsXvldDVFAiff/45U6ZM4emnn2bbtm20atWK/v37k1hK58v69esZOXIkd999N9u3b2fEiBGMGDGCPZc5oRYQ5aonnoD33hNai8rIcORjt4ty3LFjolT2yivBPb4kwYQJNLy1L+98fx3nbHFMcV9P0taDQT1NowYWXn+sNjqTjpd7z2T125X0/enSRbR/FmH6fRGcSvDSoamBRT9mFMw0urm/jV825xT4AcmyxPAeVnYcdl1kCtmpmZHUDB9xNXTkuFQUWRi7efNS0DkuP16fmBV2YSDkyPVj0JedEaoZXfJNoIoq/k3sOOSiSZzuIp3cpTiVUCQregFWvbtgf6BohE4oKkwh162i10jotBJ2i8yJcyLzfOycG0mSWLUxB2+R1vI7h4WQ41T5a6+4SbZqYKB2jKagjHZLfxuHTrnp3trIxz9lkFmJxrCSJHHvcDs39rVyJtHL/K/SmX5vBAu+S+erXysWhCmyxJ1D7Uy5JYxnFyTz2crMSstwlcjfea7p0+HTTwGhzZx2Wzj3jrDzxNvJfPRTRrlmbZY7EMrIyOCqq66iQYMGzJgxg7Nnz5b3EJfNrFmzuPfee7nzzjtp2rQpb7/9NiaTiYWleG3MmTOHAQMGMG3aNJo0acJzzz1H27ZtmTt37uW/iHPnRAeMRgOHDsE33wir9cqiqLnVwoWi+yqYGI3w5JOE7FjPS9qvaXVuA/cv8LKzBF+dilCvho43HqmJPsTEzNROrNxYScK+rl2L/bVONR3dWxv58pcs2jXWszgv4xMZqqFfJzOfrChceK7rIzq3vllTvJW2VQM9Rr3M6QQPsgTxKV78KqRl+0jP8pGa4UVCTKE3XaARcpRRGnPk+knJ9FE9spIN86qo4m9g62WUxQBOx3tLDYSMOm9BICTn+StqNcJQ0eMTpejYSAWvH2rHaNi8z0WvtkY0GqmY9qZBTT3hdoUPfyxcq+8YYufTlZnkuoXw+u6hds4kejAbJZ56N7nc76O8jBps55YBNuKTvcxaksr0+yL4cnUWHy2v+Fyxri1NzJ0Wzaq/cpi+IBlHJcycLJFZsy5yDq80rr5azBS7666C+2SfDmbmPxzN+l1Opr2RSEp6YCXCcm9Fly1bRlJSEh999BEffvghTz/9NFdddRV33303w4cPR1tJLqhut5utW7fy6KOPFvxMlmWuuuoqNmzYUOJzNmzYwJQpU4r9rH///iwrw7TQ5XLhKtLZlJlnBOfxePB4PBARIcSsVquwWAfhxzNq1GW+szJo1Up4Cn38sdAIpaaKzqsZMwoe4iliv1/wGi+H6tXh88+4Y/Vq6s+cz5NvPcQtA21c3csclNlXHq/Kd79nMX10ONMXpDH7s1RyXV4GdqlE8648HrrVxrWPOsl1+VmxIZsBVxioFa3hhj4m7nkhieuvNBITrsGkh5b1dCxbm8XN/UwF77tBTRlHrp+1Wx10bKZnzdZczEbIyFLRaUV5C+DAcWex+UgAObk+tBpxmV34uzlxzkNMmIKEt1xTFE7Ge9i428WNfSvZm+f/Afm/k8u+bqooYMt+Jw/fZi/3Z3ky3k1sxMW/A79fxeNT0Cii6cDjBSTIyhFZ1DNJXtGIoJFQVQizSpxO9FOvusIfO+HXzdl0bFJ4P7qut4l3vsniXFIukXaFRrVk6lbTsGxNBtf2tnBlex3L1sJVHYx8vcbBpt3ZpXp/BYsb+piQJT8f/ZTNjA+SeewOO698lEG2w8s9w20VOnZ0KLw+KYzZn2Uw9uV4nmx9jFpXtgpKt2ip951+/cQIkptuEhmbIuNHgk7PnmI222efCf+1Dz6A5s2JssNrE8JY9GMW418LzNVeUisYem7bto0PPviABQsWYLFYuPXWWxk7diwNguRSms+5c+eoXr0669evp3PnzgU/f+ihh1i7di2bNm266Dk6nY4PP/yQkSNHFvxs/vz5TJ8+nYRSbP+feeYZpk+fftHPH3jmN3q3zEQj/7MU+bm+XG7afRMAn7X4DIMSnJbo1Gw9P+yoS6TVSZ9mp9BpKrajUFVYs78GZ1ItXNX8JMt31iXXrdCt4Tla1a783dee02Gs3leLljWTyMzVM7ytsCZYu786Hp/MVc1PA3AuzcTSvxoyot0RakUUZq2WrG9Eao6eHo3Osu5QdaJsOZxNsxITkkNiphG/qtC6diIGjY+NR2MKnqdV/LSsmYzTo6Fv81PFXtOBc6Ecig9lWNvy2SRsOR5FaraBfi1OXfrBVVTxN+BXYefJSFrVSiqXZZTTrfD+muaM7buTC90lPvmzMbH2bA7Fh+DyahGtmRL9W5zkXLqZfWfCUJGwG52kOkyEW5xk5eppFxfP1hMxaGQf9/beW3A8j1fm7V9b0LxGCr2bCp3i+XQT32+vy53d96HV+Dmbamb5zjqEGF2kOfTc22vP32KBteNkBOsPV0Ov8TG4zTEyHAYaxaYF5diqCttPRvLX0Riuan6K+tEVr2BU1n0n2Bw4JfPIhGFkZGRgs5UeWFZInHD+/HlWrVrFqlWrUBSFQYMGsXv3bpo2bcorr7zC5L/DfTXIPProo8WySJmZmdSsWRNVX52VBxrx6Cg71SPzPjanU8wyWbQItm8X0Wlls3OnEIkNGABAjjsH8ob5XnnlldjN9qCd6pphfl5bksHyvZE8fXco1aMqpmUZNEhl0Y9ZrNlm4bnRdl7+OJ0Nx2rSqHFTruldudmNQcDBFxJJcsbg8UJUnT60b6KnU1cf97yQRJuOTYiN0KCqKqsPJHI4rSn33x5R8HynMZuv1+QQV7cpaw9mExMdwdk0NzHRYXjwkpHtx6NUp1NLIxuPZqLIYherqgr168exe/8Z+vbtWyxjmvRjFu0iVQYNalyu9/LH/BSG9TFxZfvmwfp4/t/i8XhYtWrVRb+bKsrPkMt4zp6jbmoeyGDI4EEX/du3uxJxe53YLDqS0gEkJAkaNG5Jcy3sXpJJqFUmI9uMLEOG0yRK1t44erbV8NtWJ+079ycqtNDTaFdyKlv2R/Hi5BZoFBF5HctMxW3uxvA+Yg1K8KQRbgvh+3UOznm7ct+IyvfDGgQs/y2Nd77JYOXuxrw2ObLwPhMEBgO7jriYMTsHy75fGGXfifLKy5c9VqXM+86OHSJbk0/z5mKQbMeOl/vyS+fAATGVAcQg3DffFOfOy3p1y8zkkQmXPky5P2mPx8N3333HBx98wMqVK2nZsiWTJk3i5ptvLoi4vvnmG+66666gBkIREREoinJRJichIYGYmJgSnxMTE1OuxwPo9Xr0+ovToS/cH8XyjTBxVgrjrg+lbyezaKmfP19M0/3xR7igDFcpXOABo1ULF2+tVhvUxTxEC9Pvi+TzX7KY9HoKD90WRpeWFZuOft/V4VjNmTy/KJ0n7w5n5sepfLg8GxWZm/pV7oLzwpgo7nj2PP06mXh3WSYdmsUSE6FlUFcLn/3i4KHbwgG4ro+NBcvScbhkQixiEe13hY0Pfshi/R4XcbEaziaJLpXUTB+SJGEzyRw762VgZzFuQ84LhDQayMkVC+6Fv58zST46NjWW63fm9qjsPebhsTvNaLWBm9ZVUTbBvnaqCIxzKS5qx+pK/OwlScLlUTAbFJIoFC+7PDIdmhqATOpU13LsrAcJyHb6qRWl4chpD9ddaWPdzlwOnvJRPaowW3H7IDvrdyewfreHPh1EWf7OoXYen5/E1b1CMBpk7r8mjPtmnGdodwvfrM3m5gF2Qq15t8qkJNHJ26tX0D+L4f2i0H35OW9m9GXyy+d5/ZGa1I4N3neyXRMtbw9NYXpye570NOGJTr0JGXuH8Mgr5wicMu87HTqIz+enn8Tfu3cXI1wq4/pq0UIEWlarmNd5/DgMKQzJA72my530i42N5d5776V27dr89ddfbNmyhfvvv79Y2ql3797Y7fbyHrpMdDod7dq1Y/Xq1QU/8/v9rF69uliprCidO3cu9niAVatWlfr4spBliZsHhPDCmEgWfp/Oy4tTcOYL0G64QQzi+w8iSRI39bXx1N0RzPw4lYXfp5dLjV8SI/vZuHWgjWfeTWbSTaHERmhYvDyTj35KD86LLoWa0Vr6djTx6xYHBr1U4CR9Uz8bf2x3cDZR1LmH97AgSWIGWD5hNoU2DQ0cPeOhQ1MjCak+bBaJ88k+snL8mIzg9al4vMWnScgSF40PyKdY63yA7Dnmonpk+Zx7q6jin4rw0Sp9P+72KljMFzQgOP2YjeL7Xz1Si80sYzbKKLJEiEUh1CxKdV6fepFZYf2aeqLDFD7+qbA81CROT+M4Hct+F+tBbISG4T2tpGT4sJlkpr9bxHE6IgJuvVVUACqBgaPaMGXNo7gcbiY8d4yjR8sxAy0AIof0ZNb5mVTPOMHoEd9wZOuZSpltyeOPi0acdu2ESeyOHcE/Rz7PPAMrVsCIEWIM1iUsdUqi3IHQ7NmzOXfuHPPmzaN169YlPsZut3O8Eqa1T5kyhffee48PP/yQ/fv3M2bMGHJycrjzzjsBuP3224uJqSdOnMiKFSt47bXXOHDgAM888wxbtmxh3Lhxl/0amtfT895jsThdfka/FF9o3FWZE3v/AbRtbOCtR2LYvC+Xx+YnXbZxVT7De1gZc20oz76fwn1X26kZreHTn7NY+F1apbZ7PnhLGBpFQq+V+PDHDDJzfITZFAZ1tfBxXgeZUS/TqbmBH//MLvZaBnaxYNCLll0JsYDmBz6OXBWNIpHrVpEk4XYAYkG+cHwAiFb7M4nlb53fuv/yOnOqqOIfg6/wejid4ClzM+D2yhh0F5qU+lFV4f4RaVcKOra9PhWjQcKb7SR+zxlqRmnZfeTikT439bVxJtHLyfOFgt9Rg0P4fFVmQXfVzf1t7D3m4oa+NnYddbErfxSGJIlmmQED4MiRy/0ESqdrV65iL4+unoTbozLx5TPs/WV/8I4vSeieeJRJfzzB7bveYmrco6w3tQze8fPp2lWMpPrpJ6hVSwyN3bv30s+7HAYNEtmmDz4QkxluuEE0FpWDcgdCt912G4bKnlFUCjfeeCMzZ87kqaeeonXr1uzYsYMVK1YQHR0NwKlTpzifZ7IE0KVLF5YsWcK7775Lq1atWLp0KcuWLaN584ppKywmmafvieD6PlamvJ5Q4miG/yLRYRrmTIkmKlRhzEvxHD5dsRkvfTuZefCWMF5YmMytA0KoW13L0l+zeXdZeqV9nhqNzJSRoew64qZxnI7Fee20N/WzsW6HgzN5WaG7h9mF78i+wh1l5xZGvF7YvNeJUS/h9arIkvg+pGWquDwqyXntmv6CxVl0l12EKrpgdNrydeRdjnNvFVX8o5g9u+CPpxK81CyldR7A5VXwF/EDQhWbDr9fbDhCLDLpWX48XhWvDxQZMnw6zv51iCZ1dCSm+chxFs/I9u1kRpZgyc+FWaFGtfU0r6cvsM4wGWTuHm5n9eYcGtfW8tzC5MI1qXFjSEwUHVJF7jdBQZLgzjvpfvxnnv15NH5ZYdq3BrbuD+Ikg0GDYPhwBi2cxPS1E3n1kzS+/D4h+GvunXdCZKRw/TeZxPzMkyeDe46i2O1iFuj583DHHeXyNPrXOUuPGzeOkydP4nK52LRpE53yhVLAmjVrWLRoUbHHX3/99Rw8eBCXy8WePXsYNOhiUd7lIEkSQ7tbmTM1mu/XZfPkO8kXGfH9F9FpJabeEs7NA0KY+npChf2AurU28fS9kcz8JJURvSw0qq3j27XZzPuy8jJDfTpaqFtdy5HTbn7elMPJ8x5CrQpDu1sKfIbqVNMRE6aw6IfC8phOK3FlexOHT3toVFvH8fMeVMDh9GEySkTaFXYdcdGkTmEPvdcnMkIXvhVFkbCZ5VLLZiWRmePj2Dk3rcrp3FtFFQGRnS3mHFYmS5eKdmeE3i0+xUvNEpowVFUVAY5PwVkkqaMiMkL5Q4+9PnEcbd4hshx+InOTOJaqoX64D5NBYt/x4lkhg06mR1sTa7Y5ik0vHzU4hC9XZ5HrFj/rnxcw9WhrJDXTz2cr89aCJk3E/48fF5mh9PSgfDQF3H47KAod7Gm8tOpeZFnmibeT+HNnxcZwFCBJYkJCu3a0XvAUb3x7Pd8tO8Hsj5KKmVAGjdq1RTDkcIjgMSkp+OfIp317EWh//z289lrAT/vXBUL/NOpU0/HWw9GE2RTumxFfoWnC/yYGd7XwyvgoFn6fwZzPUvF4L/8CatfYwAtjIpn7RTp9OphpXk/P8vU5vP5paqUFQy/cH0l6lp/6NbS89ZVoU72xr40Nu5ycShBZoZsHhHD4lJvTCYWZryHdLMgy1IzSkJbpJzpMISc3z/o/QsOpBC+dmhmLnSszRyXdcXHwInazgQfPwrlXj9FQddn+vyIzs3D4cmWxa5cQuVZmr/j580JLqRMbhe2HcqkRqSnx+3zivAdVVXF7lYLScv5Ly3H68Pvz9Xc+FBl0WvGPqakeGp/dQry5OnE7f0GWJPYeu7g8dnN/G34/rNxYaFjboKaOutW0/LrZkXc+iQeuD+XLX7Lp18nEoh8ycOT6CgMhEHMgn3suuI7K1asLXc2KFbTMOchrmyahUSRe+CCFlZtyLv38QMiXcvTsSc13X2Lup4M4vWYXj76ZQLajEswXmzUTDUVnzoiMVFZwtU/FGDMGbrxRdHRv3BjQU6pW1CBg0MlMuTmMMdeF8vS7yXz4Y/nsvf+tNI7T8/YjMZxK8DB5dkJBWehyaF5Pz8wJUXzwfTodmxlo28jAyr8cvPpRKv5K+CyjwzVcf5WV3UfdHD3rZuNuJyEWhWE9rAXzxgZcYcZklJi1pNDPo1FtHTazzL4TLiQJrCZxCeU4VWTJj9utEherLeaJYjZAUqapYOhrPnarQno5MkKXM9n7/xW+vzkj669kt96zZ+HBB6FvX5H2ryw+/VS0IGdlQe/elXMOVYW77xbajbxOns9WZnLtldYSH75lfy4t6+tQVUhKE5+zJW9/keNQ8asqkgyZ2X5kBSRUJCA900vLcxvJ1tuo9fEb5Dj97Cph9lSdajpiwhW+/b14RntELyvLikwyb1nfQLO6eqLsChqNxIuLUkQgFB0t9Ch16ojMQ7DnBN57L1SrBp99RqPN3/FG8uvodRKvf5rKt2uDHESMGEHI3Fd55cNBROzZwLhX4zmbVAkGo507i4zgjh3CFdp1cYAaFCQJ3n1X2NnccUdAT6kKhALFfWk9TK+2Jt56OIa/9jqZ+noiSWnlCAwyMuC224Jfc74Ql0vUbg8GZ56Y3arwyrgoWtbXc/9LRTJiXi9MnlwugVz9mjpmT47my1+yaFhbxxXN9Py21cGMRSmlB5ZeL7z0kng/qkp5LJrvG2HHbpHRaSXe+CIVp8vPDVdZ2bjHyfFzbhRF4p7hdnYdcXHyRBYsWoT0/fcMrpHC0TNemsTpOJ3gRZGF7f+eox6QIOOCLI/ZKKNR/AUO1AWfXUkZoWPH4PPPhQbhArYezKVdkyAFQps2wbffBudYl2LJEvF7qmwGDhQ+IpVNdjZMmFB5C3k+Vqv4Hc2cGRQ34FIZPlyIW2+5BZRK6kb0ekXJ4tZboV079h13cSrBQ/8rSm7b3nogl4a1dei1Prx58WZYiKh/Od1+/H4xVysjx49GFmGQXieR45EJv2UEMirut9/DZpLYd9xdYslnQGczp+I9xTREXVsaycj2s+do4e/2zqEhfLM2m3uGh7B+Vy5HDbXENIHHHxdC4NxKrAL06gUvvECdlAPMHW/HbJR5d1k6nwS7w/auu9C+9AIP7XmZfm20jH814bKGl16SgQOF797Zs+UWNJcLm038jgJsYqoKhAJl0qSA0p+xERrmTI2mWV09970Yz5+7AqzrHj4sps337Fk509nzOXNGtBr26CHS4UFAUSTuuzqUCTeG8dQ7ySz9NRM1MVF8Efv1gxMnAj5WrRgtc6ZGs3JTDtHhWnq0MfLnTifPvZ98UUYFEKnpmTNFcLdsmZhAHyCSJPHc/ZGcT/ZhMUos/jGDEIvCyL62Ao3S4K4WrHqVWTO2iXMMH86QMOHoHB0mI0l58ZdXRa8TfkKb9uUW6wbLcvgx6z0cPFU8SLNbSsgIPfSQsKe/775iP05M9ZKe5aNRrQtmeFwu69bBNdcUen1UFsnJYsfsCJK+oSxefVXMHqpsLBaYM0e0B1cmNhts3ix8WCoTkwlWrYJp0yrvHFotNGoEH30EM2fy6cpMru1tLbFZwONV2XXERe1oDYpUeH2YdMJQsVqktqA0lpXjR1Ek/H6wGEVAJA0cgEavIT6yAXVr6DHpZY6euXgj272NGUmiWEOEokgM62Fh2drCTFGdajo6NTeSnO6nWpSG6YvSxe/k/vvF+6ns5qGHHoLvv6d6TQvzpkVjt8h89ksW73wTZB3ltGlIv//OzcMimTQyjMffSmJVsEpxRbnlFmEMHBsb/GMXpVWrgFvpqwKhQPnkk2IzvspCo0jcO8LO43eGM3tJKnO/SMXtucQXtn17sRglJoogpRzBQ7moVw/++ENcvD17isxAkOjRxsQbU6P5/o9sXlihw/njSrFb6tsXEhJEKSGAAbUx4aI7bfO+XPQ6ib6dTGza4+Tp90oQ80VGijbNDRtg5Ej47rtyveYmcXp6tjFyKsHLD+uyOHLazXV9bJxP8bFupxNFlhh9XTh7NLU5Ya8PQISUQ61YLXuPe/B4VaxmCX9eN4tGo7L7iIue7QqNJ50uUCQ/h09fEAhZ5YuyRwWliWuuKfbjLIcfu1VBUYKUgs/JEen3gQODc7zScDhE4F2GvX3QaNUKwsMr/zwQ/FJIaVRmSawokiQ8cv4GTib42HEol2E9Si6L7TvmIjpUwa+CWuRj9vhEl2aDmjr8qoqiSGQ7fWgUIa62W/PmkuU9Lj7VS1w1LaE2uViGJ5+aURpMBqmYTgiE/nHjHmexUv+owSF893sWE28I5WyilzVbKiFAKA1ZLhBIRYVpeHNaDBEhCj+uy2b2ktTgyjDy9Fs92ph4dUIU7y5LZ+H36cGXJ+iCtKG7FAFmOKsCoUAZORKeeELU0wOkfRMj7z4Wy6kEL+NejS8Q4ZbKFVcId8yMDBEMVYZPBUD9+iIYioyEq66CNWuCdujasVrmPxSDx6sy/vtQzn6+snAkyLJlYjpxAISHKMyaFMXh0x6cuSIzs2W/i8ffSiwuzN65E556SvzZ5RKCvHJqRR67MxxZlogM0/DaklQUBcZcY+ftr9Jwe1T6X2EmxKLw2sA3xBM8Hm7qayMp3UfrhnqyHeL1mA2QnqmSluWndkzxThiPT+bQBYFQSEkZoSuvBL1elCuKkN8lEzTi4gL+XVSIWrXE96yKKvL4bFUmQ7tbsRhLvv1sPSi0cBv35OIvcinHp/iQ5bxAyC9iNxUJRZHw+YXpqSSBJ+8555O91InVosgSe45dnBGSJIn2jY3sPOwqFkzYrQrdW5v4YV1hVqhGlJaebU1s3CvsK2Z/llYp2sVACLMpzJkaTbVIDWu3O5nxQXKldHs1qq1n3rRoNux28vzCFFzuv2mC/f+AqkAoUN54Q+zW77hDlBUCJMym8NIDkVzZ3sy4V+Iv3W7etq0ITHJzRTC0P4hmWkWpVUs4itapI7ICy5cLfU0QXEbNRpln7o2gT0czD/wczYa3Vgmt0I03ipJCAFkhEIHCaxOjSM7wEZ/i5ZqeFnYecvHI3MTCDFurVqLmnD/lOCmp3FkurUbm4dvCOHHOi8Pp59u12XRtZaRapJYvfslEliXGXBfKPntTjkU0Bbebnm2MKBI4XcLPRK+FnFwwGiRkGfYfL77wZjrFKICiQZzdWoJGqHFjuOsuCCk+bsTvV4MbCN12myiJVFHF30hiqpfftzu4tnfJ2SAQTQEt6uv5fXsuud6iJWYVvwoNawkRtc8H0WEiC+RXQacVmwW324/PrxKf4iOumpZsp9D8lFRG6t3BiM+vcvBk8et1RE8L36/LLna93jYohBUbshl9dQg5uf4Cq43/BTazwqxJ0cTFatl6wMWTbydduupwGUSFaXhjSjS5bj9TXk8kNfO/aRFTFQgFik4HX30llOjDhwtNT4DIssRN/Wy8PC6KRT9mMGNRcoGDaYm0aAFr14o/9+xZqOUJtv9CTIwIulq0EPbk06aJ9tZyCI5LQ5IkRvaz8eQoO69uDGNR54fwe30iCCqHoNVkkHnpgUh8fjh42s2NfW3sOeZi2hsJhTuUzp2FliLf6byc5TGAnm3NNInTkZbl44Pv00hO9/HA9aF8/ksmSelerupgJtSmMHPkYnC70etkerUzcfCkm+hwTcGuNNetotfCmm1O7NbCy8unKoTZFI6fK/xsS+wakyR4/vmLXp/fL75HQePvKu1UUUURvvw1i6s6mAkPKblkkeXwc+SMm1y3SmSRYanGPPcJg1YEP/kjNKLCNEIs7VdRVQlJFu7uHi/Ep3ipHaMlMc2H0+UjPuXim3jbRkZ8fli7rbiGrXGcnpgwDb9vL/x5dJiGfp3MfPdHDkO7W1jycya5rv9dlsRkkHllfCSNauvYf8LNtDcTyr6vXCZGg8xz90fSrK6esa/Ec+xsxYx0/4lUBULlITRUZE4URXghJCeLcowzMNfPJnX0vPtYLD4fjH4xnkOnyvhCNWkisjMGg8hErVsngpVgtwiHhcEvvwgPkTlzxDTft94K2uHbNbfw1hgjmxoN5PFBC8nS2UT3SDl8JPQ6mWdHRxJiVth6IJdbB9g4cNLN1DmJBeZn1KpVKAC+jEAI4KVxkWIBDtPwxhdpxMVq6d/JzHvfpCNJwlPkoC+SozXbATCipxVFlogJk3G5xW7MpJfIdUF6lo8WdYt7B4VaZQ6eLNQq2C1yySacYWEX/SjopbEqqvibycj28dP6bG64qvRs0I5DuTSurWftNkfeDDLxpTcZhFC6cZwBSZLw+1W8XpVIu4KigC8vMJIQWj1VFaUxs1Em0q4QbtOUaO9hMsjExWqLBTz5jOhpLXCazueWASH8tiWHa3pa0GokXv4o5aLn/Z3odTLP3x9J64Z6Tp33Mnl2QoXHH5WEIkuMvS6UW/rbmDw7kc3BdLquCEESi1cFQuWlTh3hWnnmjAhMliyBjz8O+OkWo8wTd4Uzsp+NB+ck8OXqzNKV//Xri2AoJES0Ua5fD4sXB+VtFOPLL0VGJZ9nnoGU4F3g0c1rMWdeF8J7tef+m1dyVIoud7Cl1Ug8fle4WLR2OBk1OITDp91MnpVQGAyZzeK9XHfdZemrrCaFcdeHcvKcl/3HXfyxw8GoIXY2789lz1EXvdqaiAhReHVPTUDsGhvU0rLzsBudVsJilMh0qOh0Il5VKf57dbj8HCwS/JbYNVYKfr9aqV53VVRR2Sxbm02nZkaqR5U+UmPr/lya1NGx45CLnCLZDWeuilEn0SCva9LlUfH4INymoFEkVL/oNlNVyHT40WkgJcOHxyt8vVTA4Sp5ne3d1kRyuo/E1OKBUs+2Js4ne4ttWMNDFIZ0E3MJx1xj5/ftTuJTKsFzpxxoNRJP3h3BFS3EMOgJMxNIyaicEtbQ7laevDucmR9XYut7eVi6NCgzzKqW1suhUycR/KxfLzpvZs0ql7maJEkM6mrhjQdjWLEhh8ffSirdYfjkSZHtyM8EPf646PgJJnffDX/+KbJcIFrSn3kmqKfQaSUenNackXc2ZvJN37HqxxPlbqlWZImpt4TRpqGBFRtyuHVACMfOeZj6epEymSzDs8+Kz+wyGNbDSr2aWtwelTe/SEOW4M4hIcz9Mg1VhQk3hnL4lKdgcbx3uB1ZgrhqGpx5C63PB3qdcIIuypkEHweKaIdCLDI+nxqQu3S+OLSKKv6NOF1+vlmTxU39yu4e3HYwF49XpUNTA3uLCJwdLpEVapgXCG07kItOK4TSGiWva9MlZpBlZPkwG2XMJpnENC91qmnx+dSC6/NCrmhhRJFh457iWQ6dVmJwN8tFWaGb+tnYsNtJ8/oGIu0K0xf8b7NCINbGabeG0ae9ifRsP+NejSc+pXK8u9o3MfLq+KiCv19ka7JnT+V6BBWlaVPo0kWM8KgAVYHQ5ZCeLjqg8rf+Bw6IFuFyEherZf5D0USFarh3RjzbD5ZgYNWhg5jcm18uOX9e+OYEmw4dRMfVxo1iON5bb8G+fUE/zZAeIbz8YE3e7/wIc5cklOwNVAaSJDHmWjt9Opj5cX02N/W1ceSMhwffSCwuFqxAe+Yr4yJxulR0Won3v0tncDcLPr/Kig05dG1lIipMYebHYvFrUd9AXDUdx8958KtCNK2q4PIIIXWd2CLdYyqcjPcUBG2KItG8np6tBy5tXOZXg6wRqqKKv5Hlf2bTqLaOBjVLvy7jU7ykZvrYfcRFx6Z6cvPiIE2eVMiR66dBTZFN2rTXSbUIDV6fikYDflUlLdOH1SyT7fRjNMiE2xQSUnzEVdPh9lJsrlhR6lbXotVKrN588cZsaDcLa7c7ipWwQywK1/S2suiHdB67I5yDJ91sP/i/LxXJssS4G0IZ0s2MI9fPuFfiORV/QbYqSKMtasUUZvWeW5RWfLBtZCS0ayckF5VN06ZCsjJ4cIUkHVWB0OVgt8OTTwqRbj6X2Yqs18lMGhnG+BtCmb4gmQ++Ty8eHJhMQsR8/DhMny78WF55Bc6dq9h7KI1OnURQ98cflxXcBUKTOD1vPV6dwxkmHp6bWO5htZIkMWpwCNf2tvLjn9lcd6WNQ6fcTHsjISidE3arhtHX2Dmf5GXVpmwOnXQz7vpQ3v8unWynn0k3hXH0jKdA7zPmWjteL8RGKOi0QjQtSyI5pdcXXmJ+QK+TivkJdWhqZMv+wAIhpepqreJfyPFzbj76KZPbBoaU+bhv12bRvK6exDQfp+ILsxnWfN9KCapFaHB7VI6d9dCing6fTxUZIb8wVzQbZaLDNJj0El6fiqIIbZ7Pp+LMLXltkCSJjk0N7DvhuihYigzV0LGpgR//LN7te10fGzsOuTAaZJrE6Xjxw/99VgjEe7lneCg39rXh8qpMmHmBFjU5Wbh7B3FQbIhJZvzMhMIMVHS08MXr21cYEQeoob0sJElUMnw+GDtWTDO4DB1t1dJ6uTRsKDx/FiwQgdHq1WKGymXSo42Jtx+JYdvBXKa8nkjCBfVqbDbhl3PsGIwfDy++WKGXf0k6d4YpUyrt8KFWhZkTo6gWqWXsKwkcP1f+ToTr+9i4Y4idFRuyuaaXlQMn3Tz8ZnCCoeuutFErVguSxGtLUmlWV0+rBgY+Wp5Bp+ZGYiMUXs2rk7dqYKBGlIasHB9ZeZ5CqgoGncSR0270RSQRuS6V34qYsXVoYmDzPuclHWL9frWqNFbFv46kdC+PzE3i7mEhNK938eDhfI6cdvPjn9lEhylc2d7ED38WXiNOF5iNEg1r6ZEkiT1HXei0Ek3q6EnNFOM2osMUnG4VRRbZCqNBJiPbT3iIkjedXio1IwTQvbUJvUYqMSt/dS8r3/2RXWyDajHK3HCVlQ++T+eZeyNIyfDz/R9BmgH20UcVnmN3c/8Q7h5mx+uHqa8XGZdRp44wt23VKihWKQCTbgqhdzsTD7waz77jeXKAfGf8OXNEULR9e1DOVSKDBxf++fXXhXY3+xI2NRdQFQhVBEkS+pr9++GGG0Q3VAWICdfw+uRoWjbQM/rFeP7YUYKGJjxczNZ66qnKH/pYyWg1ElNuDuOGq6xMmpXInzvLP4ZhSDcL9wy3s2JjDiN6Wth33M0j8y4wXbxM8ktkGdk+lq7OYvQ1dpb/mS2GzN4cxrGzHvYeEwvMuOtDceSCzSxjMQrNQo5TxeeHNg0LywGSBD9vyil4fXWra5EkiWNnyxZcBtNJv4oq/g5ynH4em5/EVR3NDO1eeqeYz6/y2pJUbh1kY/3uXKpFKAV6HoPGQ64HIkKUgrLapr1OZFlICzbtdaJRoEU9A6oqNhq1Y7QYdZDt9BNuU3B5RJm7NI0QQNvGBlwelXU7Ls5etKyvx2KQ2bC7yL+dO8fVvawcPOkmMc1H91ZG3vkmPTgjL3bsEFmbAOZblsWInlbG3xCKqsKj85LYnD9K5J574NQp0YDz+OMVtkuRJInbBoXwwHWhPDI3kV+35ECfPiLoAiGx6NwZvv66Qucpld69hQktiEG1CxYEPGMsn6pAKBjExIhBmbfcUuFBjIoicfcwO0/dE8Ebn6cx57NSxnNERvJfaSMa3sPKs/dF8NonqXy0PKPci8nALhbGXBvKzxsdDOthYc9RF4/OS6yw22pkqIZRg2ykZvj56Kd0/H649kor85em0a6xkVrRGp5fmIKqqrRpZCAmXIMiq+TkpeD9KljNEmeSClO1Pr8ocW3KE2ZKkkT7JgY27yu7PFYtUsPpBG9wZwtVUUUl4fWpPPNeMnGxWu4edqmSWDaqCrVjdJgNEot+LDQqbFwtFQmxacoXSm/c48DhVAkLUdh/wk1Cmpf6NbVIEqRk+qgVo0FRZDSK8MBxufMDodI3jjazQq0YDX/uujg7K0kSI3pZ+abo1PfJkzH6crm5v42F36fz0O3huNwqH/wQBJPFPn3EBIPBgyEzs0KH6n+FhWm3haMCz7yXLPySRowQmlNVFWOjunSBQ4cq/LKvbG/mpXFRzFuaxuIVWah331P4jw88cNHYoKBhMonP6v33hWRk7txyd5b8N+6k/xT69SuMTCtI20YG3nsshvMpXsa+Es/J8//bFs3KplVDA/MfjmHtdgfTFySXuWiVRL9OZsbfEMqqvxwM7W5h1xEXj82veDB068AQakZrUJGY/WkqN/a1cuKch427nTx1TwSJaT6W/polfIaus5OWJQwVtXka6ewclTOJPsLMhdkup0vlpw2FqdsOTQ3FBj+WRPVIDX6/yvkSTOGqqOKfhKqqvPZJKj6fyrRbw8sU+SeleVn0QzpTbg5j9V851IrR4sjbE5j1cDbNiiQJIXWj2jriU7wkpfmIClPYfcRFo9o6ziWJocmqChpZtLh70zIxK+JaCSQjBEKe4PGqHDlz8Vrbp4OJI6c9nMhfhw8dgqefZmh3K2cSvBw46WZINwufr8rE7algpr5HD9BohNi4Vy+Ij6/Q4Xq2NfHUPWKO3CsfpfDTNo9wls+nenWhHQoCTevomTcthjVbHbwYehvudp3EcNpZs+Cbb4JyjhJ57z3hyH/33aJisnNnuZ5eFQj9g7FbFWaMiaT/FWbGz4znp/XZ/+mMQEy4hjcfjAYoLr4LkD4dzEwaGcYvfzkY3NXCjkMunngrqdydaUWRJInXJkbh8ajsO+7i9+1O7r/Gzvyv0qgRpaV3OxMLvk0ny+GjU3MjkaEKZqNcoNdT80TOIabCxdXrgy37cwvs6ts1NrDvuBtnGa6wkiTRqLaegycqlnGsoorKZvHyTA6cdPPs6MgSp8sDsGULpKby5hdpDOxiIcKusG6nk7/2Fm4Ixt8QQnKWichQmZYNDNSI0vLXXie1YrTExWpZv0t0jjWJ03EqwYtOA7VjdUiSxOlT2YQhNhsut4pBL13SdbljMyOSVJitLYpRL5zk12wtYl0yaxa6bX9x26AQFn6XzphrQ5AkeOPztPJ/aEWxWETTCghtTRAyNp2aGZkxJhJJgvlL0/iqwxixaW/WTDTGVKtWsddchPx1PNOv58GrPyf9hdmiNDZqlOiwrgzyu6pffVUMD777bvAGfv+oCoT+4ciyxPV9bLw6IYpPfs7khQ9Sircq/scw6mWevieCnm1MjH05nh2HLt1RVZRebU08eGsYv25xMLCLhW0Hc3ninYoFQ+F2DeNvCMWRq/LGF6k0rKUjJlzDhz9mMO3WMBRZYsaiFNHaf42dlAw/spyXnZWElOtUiq2gDRhEkLt6s1hUQywKdatr2XG47CCncW0dB07+9+ztq/iHcfz4ZTvY/7Qhmx/WZfPSA5FYTKXcXn75BUaN4s9TBg6ddnPbQBsvfJBM9SgFd969S5HhfIoXFcjI9heU1/7al0uIRaFmjJa/9jnxeFXaNjJwKt6LVitRK0ZL7rkkErFSLVdkUlweYcaYe4mMUMNaOnx+tVDwewHdWhkLNUSqKi7su+5iQFsNaVl+th1wc3M/Gys25pS7E/Yi+vQp/ucg+PK0amjg1QlRyJLE4u0mFj+xAnXZt+J9XHedmG8ZJMxGmRfGRFK/vpUHZqdw4q0vRQlrxIgKl/vKJDQU5s+HrVvLpdmtCoT+JTSqreedR2KQJLjvxXgO/IczA/niu6m3hPH0u8l8uzarXJmw7q1NPHx7GL9tyaH/FWa27s/lqXeTik2YLi/DelhpWkeHzwszFiUzeWQoP6zL5thZDxNvCuWvPbnsOZpLz7YmIu0KFqPYCee/bJ9folGtQk+h5DQfP63PKXhfHZpcujzWqLbuouGQVfw/orKzwVu2wPXXixuJUvIssLLYvM/J21+l8+LYSKLDNCU/6PPPYdAgHB268sYXaUy8MYwvV2eRmePn6JnCHfzwHmY++ikHneKjZxsjdarpcHtUth5wkpLuw6CViLRrOHTKTZtGBs4ledEoErVjtBx55xusrgyiUo4BIiNk1MuXLI0pskRUqIYziSVnElo3NJCY5uVsYpHS2b59aGY8z60DbSxZmcktA0Mw6iVeXlzBdvo+fcR/DRuKjE2bNhU7Xh5N4vTMmhQFSHybXZ+3d4ahfvSxCBzGjw/KOfJRFIkJN4Zx7ZU2Jn2ssuXNH+DoUZEZqsxGn6uvFoHdU0+J8wVAVSD0L8JslHnsjnBuG2jjoTcT+XxVJv4K3Nz/6XRtZeL1KVF8sTqL2Z+mlasTrEtLE4/fFcHabQ6u6mhi875cpr+XXKFg6OVxUSDBqXgvqzc7GH21nZcXp9C7nZm4ahqmL0hBVWH8DXYyc4RWSM7LCgEcO1e4S1QRIwDyPYU6NDWy5RKC6UZxOg6ddlfoPVTxLyIjQ3h5PfWU0B9Wkq8Xv/0GV10lTFU3bBDnKydHTrt5fmEKT9wVTv3STBPffBNGjgSPh4V1RtGkjg5Zhu/+yEanKf6d3nPUjV8VG4jbBomOs91HXYRaFHI9KtlOP60a6EnO8NE4Tsf5vDJ6rUiJQ7/ux5qbQfjpA6CquNx+TIayxdL5VItQSEzzlbjx0mokrmhh5I+dRTYsRiP88Qd9Qs5xLsnDoZNu7hthZ9PeXM4kVEDXecUV8O67MG8eHDwYVBPdejV0vDohCq8Xftvq4D1vV9QnnxLdVu+/H7Tz5HNNbyuPjArnuU0xfPfk18KM+KWXgn6eYrz5pvjdBBjcVQVC/yQ2brzkrk+SJAZ0tjB3Wgy/bM7h6fcuYyL9pk3BH95aEjt3Vrg1s041HW89HM35ZC8PzkkkraRxFCdPltit16mZkafuiWDdDie925vYuMfJcwuSLzt4NPudPD7IT7bTz5KfM6hTTUNMuIYPvk/nudGRpGX6+HhFBl1bmYgJ1yBJIuDJ/5U6XSoh5kLNROM4LSvyRNNN4nSkZ/s4m+QRTyhh/EikXYPZIF/sFvtv4O/QtqmqCB4qm/R0GDYMbr658jQPIEbdDB8Ozz0nOlIHDqyc88TFiYHFAG+8AdbSW91LIjHVy6Pzk7j/GjsdmhpLfpDHU6BDORDZklUZNbmpr5WXPkxhWHcL+08UZmF6tTVw6LSHahEKreOSibSL7NSmPQ5cHpXbBljZuNuJ1SzRsr4en08Vc8U8fmon7ONgwx7o/C7CjT44cwaXR8VkkEudNVaUGtFavD6VjFJmAHZrZWLdDocYij12rFh3vvkGXdOGjOhpZemvWQzpZiHUKvPCogpkhXQ6qFtXBKg33QQvvxzU73bDWjpefCASp8vPyo3ZfNxpEgwYABMmQNJl3FMuwRXNjcyeHMUSV1vm3fMpvqeeDkqnWqnExAiB9p9/BvTwqkAoUJYurdzj//mnEJSNGROQyKtWjJZ502KKDTAMqEPq6FHo1k3UaoNkt14iSUnQvbtYyMs5U+xCbGaFlx6IpGFtHWNeiufw6SLlofR0sZO96y5xIzxzpthz2zcxMv2+SDbsctKrrYn1u508v/AygqGcHGjcmO63deQK6RheH7ywKIUHrrezfH0OaVl+hnSz8NHyTDJz/Ey40Y7HC2aDhCyBlDeA1V3kV7vjkItftzhwe1QURaJ9EyPrPtkibOOLagSKELTy2P79It2+YEHFj3UpHn5YpPcrm/PnRVmngv4rl8Rqhdq14fnnoXHjyjtPXBxMnCje06hRlXeeOnXghx9EWezqq8v11GyHn0fmJTG4q5mBXSylP1CrhWuvxbdtB7Nu+YhRQ+28+UU6g7qY+eKXQs2I0QCb9uaiz/MB6lAnoeDf1m5zoFEk6tfU43SpJKT4aNvIwOrNDlRVXFsx/TpysFYnfI2aEDbnBQgJweVRMRsDywjFhAtX6rNJJa/BHZoaOHbOQ/Kc98U8xtOnC4S6Q7tb2LTXSUKqj4k3hXHolLvAfb5C5N/QQ8q2ISgvTevoef7+SFwelW/W5vDFmA/E9yAyMqjnyadudR3zH4phX70ePPnEdhy16lfKeQoYNQq++iqgh1YFQoFy772VZwgFojPgySfhnXdg6NCABGU6rcT9V4cW/H3i7JRC06zSqFdPpFtXrBDnPHGigi+8FCIjhavozz8Lq/W0inVSKIrEA9eFMmpICFNfTyh0Z7bbYepUWLJEjCC55pqLWkHbNDLw3P2RbNqbS4/WJtbtdDJjUUrguqPERBHUnTkDSUk8u/lRjHqJjGw/S3/NZsy1okR27wihD3jmvWQ6NjPRsr4eR66KXwU1rz7mdInZSAAeL0TaC43ahvew8M3pKLyHjoibegkELRBq1AhSUsTOqbK57jphBFrZVKsGjz5aoTlzAaEoIvVet27lngfEAOExYyr/PFddBYsWlct/5dApNw+8Gk/TOjpGDQ7sJr00KQ5dtSjOJnkx6CWOn3PjKpLg7NbCiNMF1aM03HiVBb1WZIDPJHpIzvBz17AQNu110qm5ge2HXLRtZOCHddlYTRK1orXkulTOJXtx+BTCw/Vgs+Fyi4zQpcTSANFhGhRFKq4DKoJRL9OusYE/9/vEGlek2yrEotCng5lv1mTRrZWRqFCF1z4JwvDR2Fho0aLixymBVg0MPHNvJB6fypI/vHwrt6+U8+QTFqIwa0oM+hoxPDY/KSjGt6UiSeJ7HQBVgVCgdOggUpQ//FA5x5cksegtXCi6KvJvvOXgxj5mXv04lSffTuJcchlZpfvug5Ur4exZ6Ngx4PRhubnzThGRb90qvDHOnRMZqcTEyz7kwM4WXnwgivlfpbPg23Shl3noIeGWOn06bN4Mb7990fNaNTDwwphIthzIpWsrI2u3O5jxYYDBUFSUCILj4gDQ7NjGa2PsOHJVfvkrB5tZpkaUhsXLM3lkVDg7D7vYdsDJw6PCUWSRFZKkwvMUvejSMr0F5bFWDfSERppZc9MzpTqjBq1zTJaFl0jXrhU/1qXo0EFkuaooPwbD33cukymgh/n9Kp+tyuTBOQlc38fG1FvCkAIIoPafcPHxigx6tDHx+3YnAzqb2LinMGNSK1ph1WYn1SMVsh0qw7qLa0BVVV5clILZKHFVRzPrdzlpWEuP26NiMkgcPesm0q5QK0bLkdNuakZpSM/yEWYTJTWXRyXb4adaZCkC7iJEh2nw+dRSM0IgmjHW7Sx5w3ntlVaWr8/GkasyeWQoR894OBSMrFAl0q6xgcfviMDnU1n4XXrBelRZ6HUyj98ZjkaBOZ+n/iMsYaoCoUBZuhTatoVrrxVZjsrizjtFtubkSeElUY75ZT3aGPnwqVjiqmkZPeM873+XXno6uHdvoRUKDYUrrxTzbfIJpqJ/xIjC99O1q0jzPvZYhQ7ZrK6e+Q9Hs/VALk++nUT2D6vg228LHzB3bomaoeb19Lz4QCTbD7ro3NzAmi0OXv4owAsxLg7WrhUZNY+H+ol7uGNwCE6XysuLU7hzqJ2fN+ZgNck0raPjuYUphNsUbhsUQk6uiqoW3ijcXgrmj6Vmwe4juZw470GSJG7sa+XzBreiRkWV+DIa1dZx4pyHzJwgaLymThW//7+DqkFp/wmS0r089KYYozB3WgxDulkCCoI27XXy8JuJ3D4ohE9WZDLl5lBeWVw8S+zxinl6igx3DQkp8CBas83J4dNuxl4bmtdd5sHrU2ndUM+qvxxE2hUMeplaMRoOnnJTt7oOVRXjbkB0jSWk+mhc+9KZwugwBYdLLbVzDKBzCyN7jrpKvAZrRWtpUU/PTxuy6djMRGyEpmAm4T+ZK1oYmXZbOH5g3tI0MSajEtEoEk/dE8HOQy6++q0SJRoBUhUIBYrNJm7ozZuLm/uvv1beufr0gfXrRV29e3dYvjzgpxoNMncPs/P2ozGcOOfhjunn+XVLTsk3+wYNhEC7Rw+4/XYRoKSkiMxKMOnVC9asETqb+fNFZ8Jff1XokJF2Da9PjsJikhm3rTlnFn0rWk1BDBX87LMSn9ckTs8r46PYfdRNp+YGVv+Vw8yPAwyGatUSwVDDhrBxI7cNCqFhLR25bpX3v01j7LV2XvkolcfvCCPL4ee9ZemM7G8jIkRGI/sLpsfLkhi/kY/JAO8tSwfEbtPh07D1gVdLfAk2s0L7JgZ+3hiEhSrfhKyKKgJg3Q4H982Ip0FNHXMfjKFWjPbSTwJWbsxmxgcpPDIqnBUbchjZz8qsJan4iuy3erczcD7FT7vGBjQamT4dRTYox6Xhjc8zibAr9O1kZuMeJ60a6tl7zEXrhnp+XJdNaqYPj1elbnVRNo6N1BBmUwoCNJdH5Vyyh0a1L+36bzPLKDJlNiRYTTLN6+nZuLvkrND1fWx8/VsWPp/K1FtCOXrWExytUCXTo42JSTeFIQGzl6QKUXglYjMrvDAmko9/ymTT3ktIOiqZqkCoPNjtoqTUsKHQ8VSmALRpUxGkNG4szvXWW+LnAZbmqkdqee7+SB68NYwPf8xg0uxEjpwuoaQSGioCrbFjxUT7Hj3ghReCOy3Y74cvvyze9TBuXIUzT3qdzKOjwhnYxcK432qy+fO/xBBBjUaYaZUS3DSspePV8VHsO+amYzMDKzeVIxiqXl0EQ3lC89mThEHZriNunC4/tWK0fLUmh5v6Wvny1yzSs3w8fmcoXr9cEPz4VaGHz/caSs6A/cdd7DqSi6JIXNfHxufnapX6Eob1sPD9H9n/aeuEKv45OF1+Zi1JZc7naTx5VwSjrwkt3TH6Aj5flck736TzyvhI/tjhpFqkhj92OEjJKLz2e7czsnZbLgadxMl4N/eOsKPIEqqq8uvemsgKjL46FFmCXzc7aFVfz9YDuZj0Mg6Xn47NjGRk+7miuZGDp9z4fSpxsYVBWq5L5UyCN6CMkCRJRIUqnEsue65ft9YXtNEXoXVDPRajzLqdTto0MlIz6t+RFQLhzj/2ulAkGV5anFLM6bsyqBWj5fE7w3lxUcr/dIxUVSBUXsLDYdUqUSoZNEgEK8eOBWzcVC5iYkQmZehQEaiMHy+m3O/bF/AhOjQ1suDxWLq1MjJ1TiKzP0292PVUqxXlpFtuEcf2+UQXVgVb3wuQZaF/evfdwqzN5s3wwQcVPrQoJ9l47I5wXvgkiy96PYS6eYt4T2vWlPq8+jV1zJwYxYGTbto3EcHQq4EGQzEx8MgjgMjAPXd/BLlulbe+SufGvlZ++SuH9k0M2Mwyj7+VTNM6OupEZl50sRU1eFPx827e9OoBnc0cPu0uOXBF1PT9Kmw/9M/fZVbx7+bQKTf3vxRPWpaPBY/H0LZxYJolv1/lra/S+O73LOZMjeboGQ+7jrhA9bP/ROG60qmpjtQM4SDdpaWB6pFaOjYV51i7PZfz6WYiQhS6tzayclMO8SleDp50c1UHM79vd+DxqiSn+bi5vw2XRyUx1cumvbkM6io62FIzfZxL9pLj9BNXLbAMVmyEBrdXJTOn9I1a15ZGtu7PLVF6IEliM/PlatHw8uCtYRw762H/v8QEd0BnC/cMs6NRJJ5dkFRud//y0qGpkdsHhfD420mX58h99qzQoVaAqkDocoiKEoLm2FjhvfD448EvJ+VjNgvB8fjxIlhxOkUHWzmyKVqNGNPxwZOxeLwqo6afZ9narOJjJ9asgW3bCv++Y0dwTa+0WtHOuG+fmKzcrJkIJirYTZZPx2ZG3nwwmuV/ZvPSjuq4f18vMnhlULe6jtcmRnP4tJt2jQ2sKk8wVKQzqX0TI0O6mfH44PVPUxlzrZ1XP07jsVFhHD7t5qvfsunf4gSSTMGYDRXxKwyziUswI1sMoPxjhxOjXmZ4D0uxtuKiyLLE0G4Wvvv9f19br+K/yYWC6GfviyDEEpjbtMer8tKHKWw/mMubD8bgyFV5++s06lfX8OeuwmCgfk2Fwd2s7DzioVa0hs37crlvhB1JkkjN9DHvywwUReX2gVYS03zMX5rO0G4W9p1wc1M/G5v25tK+sYGkdB8DOls4dMpNbISG9Gw/XVsKP6M/dzqoU01Lg1o6NEpgWayYcC1Wk1ymYDrCrqFudS2bSzFB7d3OREKqj73HXLSob6B2jIZXP66g2/TfyLAeVm4daEOrkXny7ST2HitnEJebWy4/oqt7WWjXyMD095LL30kWEyPkKhWoYlQFQpdLbCysXi1u8J99Bh9/DHv3Vs65DhyAH38s/Pv69aLNvpyEhSg8dFs4Lz4QycpNOYx+scgsr969xetftUpkoCRJGLnt2ROkN5GHoojuu127RIZo2bKgHbpmtJa5D8WQ5fAz8Y0UkutcuuU0LlbLrMnRHDvnoXXDvGAoUAF1ESbdFEZMuMLpRC8nzrmoW13Lhj25DO1mYcG3WeS4tNwzzIbXV2A0jQqkZhYGtOlZft77Nh2vT2VELyt/7nKSkFryYjygs5kt+3NJSi/fYNoqqrgU+YLo38opiAZw5vp5/K0kUjJ9zJ4czc7DuTw4J4H6NTT8sbMwaAgPkXl9UhTTF6RgNkj4fCqDu1lpHKdHVVXmfJZKvRpajFovVzTX8criFAZ1MfP12iwm3BDKz3mdTRnZfm4eYEOnlTh40oXqhyHdLCh5Qc/v251EhMg0jru0Piif6DAFg07ibBmCaYBurU2l6mi0Gomre1pY+qvYrEy7LYwT57zlDygqA1UNyOD0uittXN/HilYr8ei8RA6dKke3ql4vKgwB3j8kSWL8jaEgwZtfpJVv/VUUod+86qpyNRcVpSoQulzcbiEuzvesUdXLsqYPiGbNRPDz5JOFfiwPPyxSgpdBkzg9cx+M5ro+Vp5fmMz0Bcnihpvvu/Ddd3D4sNDxTJ5crim+ASPLwrztzjuDeliLUea5+yNp01DP2FcSArp4a0VreX1KNGeTPLSop2flphxe+agcPkOILM28aTHIEiz9NYc+HUz8usVB15ZGYsIVvtrcgCHdjESHycWGr4rXLBZtjw+8Hh8//plNqFXhqg5mvvq15KxPiEWhe2sTP66r3FbXKv5/UUwQPS1wQTRAepaPKXMSxTU4OpJFP2Yw/6t0Gsdp2XG4sBym18I7j0Rz0xPx+FWwWcQ4nXuHCy+iNVsdHDrlIiHVxxX1z7PsdwfZuX7cXpVGtXR0a23i6zXZNI7TkZTuY2BnUQbbdiCXhDQvg7oKoXVGto89R1043WpA+qB8okI1SJIkXN7LoHsrIxv2OEvNYAzpbmHzPifxKV6a1jFQp5qWmf+UrNATT5TYWXshNw8IYVh3C1qtxENvJHD8XIDBkCSJ+1aXLgE3+2gUiafviWDbwVy+WVPOda1dOzGY9qqrxCa7nFQFQpeLTgeLF4ugoVEj8bOvv65wrbJUoqOFzubUKeGTExsrApXLRJbFqI4Pn65GdJjCPS+cZ/HyDFzuvAxFvXqi1f2bbyD733WzVWSJ+64O5Z5hITw4J4E12y7d/VAtQsPrk6NJSvfRrK6OVZsc5Q6G7FaFl8dF4vPDyx+mcM9wOy9+mMIjt9vJ9Si8+GE6M8ZG4fGJODCfbGfhORLSVBb/mIEj18/1V1n5aX022Y6Sy6DDelj48c+cwBzFq6iiDDJzfBcJorWawC0Pzid7mfBaAk3idIy51s6j85I4fMpNrViFLfsLb56yBK+Oj+CWp+PJcaqE2yR6trVy39WFJbE3vkijdzszZqOMzejmk5+zGdnXxi9/ORh3QygbdzvIzPHj86vc3F9kg/Yfd7HvuJsOTYxE2oVf0J87nbRsoOfIaQ+NyhEIRYcreLz+MktjANWjtESHakrV0NjMCn07mvk6rz38odvCOBnvZffRADQ3W7dW3mBSSRJebgMGBCRNGDU4hH4dzWi1MlNfT+BUoDPUhgwRTSVDh5bZvFKUEIvCC/dHsnh5xqXNgYvSrp34f0qK6LouZyWjKhCqCJIkfsm7d4u28MhIEWlXJiYTjB4tRiTcdZfw56kAZqPM/deEMm9aDHuPubjj2fP8vt1RGABYLJfU2vxT6XeFhRljo3jzi1QW/ZB+yS6rqDANr0+JJtOh0jju8oKh1g2NjBpsw+WBJT9nMKiLmTe+yOCq5qdYv8vF0TMerulluWiNk4vccyTJzxe/ZFIjSkubRga+WVNyVqhJnI5Qq8z6Xf/b1tMq/r1kZPtY8G06tzx1DqfLXy5BdD5Hz7iZ8FoC/a8w07OtiTEvx9Owtg6X28f2A8UzCGOuDWHyHKEDiQyT6NvJyr3DQ5AkqaAk1qahnp825HD7IAsrd9dmZD8LS1ZmctewECLtGt75Jp0aURqS0/0M7GJBVVXmLU1Fp5W4pnfhnLTftzto3UCP369SPQAzxXyiwzTkOMs2VQQgJ4durY2s21H69XdNbys/bcgm2+mnUW09dWK1vPFZALrIHTsq914yYIDQhXbtesnpApIkcd/Vdnq0MaLRyEydnUB8SgBVgu7dhe2M3w9Tpggj3wDG39SO1Yrmlw9SAp+r2L6II7bBIJIFAWS88qkKhIKBVits8A8fhtatYcuWyj+nLIsgrHbtoByuVoyWlx6IZPwNoby7LJ0H30gMPA36D6Z5PT3zpsXw5y4nzy1MIddd9i4rPERh9qQo3B6VBjW1rNzk4JXF5QuGRg2207K+joQUH0fPuAmzKZxOsdK9tZ5XPkrhuj5WwmzFS2R+tTAYSs2EpaszSc3wcefQEL5YnVmi5b8kSQzrYeX7P/5dGbsq/vekZvp4++s0bn3qHImpXuY+GMPjdwYuiM5nx6Fcps5J5I7BIjPz1DvJ3DcihHU7HRw8VXizlIDx19uY/1UGsgRRoRJ9O1i5Jy8IAlES23fcxY5DLkZfbWfvMTd6rQ+/X8WgEw0Cx8+5ORnvRa+hIBu0druTxDQfNrNMm0ZCC5Tl8LPzsAubWaZRbX3AGieAiBCFXLd66enxr75K9yYK63Y5hMN9CdSM1tKqgYGf1otrdMJNwlfo9KVu8HFxws5k4cKAX3e56NNHaGv27xfGvZs3l/lwSRIjjjo1MyDLEo/MTSjz8YComgwYUPj3U6dEk1EAdGxm5LaBNh5/Kykw89jGjcWGvX17UcF47jmhUwqQqkAomISEiC9vmzb/61dyWUiSRJeWJhY+EUu7xgYmvJbA3C9SySqlNPNvISZcwxtTovH5VCa+lkBSWtm7GbtV4bVJ0UiyRL3qWlb+5eDlcgZDMycIs8dtB13UjlE4l26mRX09IRaZB+ck8ux9Efj9xUtkRddSvwqLl2dQp5qO6/vYmPlJaokZrT4dTBw86SqfkLGK/7ckp3uZtzSN2585R0a2n7ceieGxOyOoHRu4FgjE2IvVm3N46p0kJtxoZ8sBF8v/zOapu8OZ81kaCSmFNy+NDBNusPHml5mY9BLhNok+HazcNawwCErN9DH7s1Q8XrhjSAg1orT8+KeDTvXO8/kvOUy9JRxZlnj63WTCbDIZDpVBXSy4PSrvfZNGhF3DsB6Fou4Nuxw0r6Pl1PqDNI4r3+w5RZGIsMtkO9VSAxwAVq+m7u9fodNIHD1TemBz/ZVWvsozWGzVwCBmkC25hK9QnTri/6NHi6acYGO3wxVXiD8nJgrT2++/L/MpsiwxeWQYrRvq8RNgYDl0qPBeM5lEYDJwYMAv8ZreVlo31DN9QfKly/+KIqQpCxcKv7pXSzakLY2qQKgyUMq3q/qnodNK3Nw/hIVPxpKZ42fUM+f4YV122YvCPxyjQeaZeyPo2MzI2FcSLunpYTXJvDo+CqNeJi5Wy6pyBkMajczcaVH4VFj2u4OWNZL4cHkWY68LJT7Vx8+bHNw9PKRUGUCuG1ZsyOb4OTcj+9nIyvHz458XZ36Mepm7htl57ZOU4nYIVVRRhMRUL3M+T+WOZ8/jdPl597FYHr49nBpR5QuAQLguPzw3ife/S2fCjWEs/jETWYLRV9t56M0knEVicp0Gbh9sYc4XmYTZZKxmUQ67a2gIktMJe/eiqiovf5iM1wu3DrTRt6OZlxanMHqEjb+OxTCih5m4WC2Ll6dzNslLVKjCyH4iG/TNmizCQhROnvfQ/wpLwXnXbnfS4+RKDp6nXELpfDxeMBkkFLmUG76qwq5dSG++Qf2aOo6dLX0j0rKBnhCzzB95HWb3DAth9xEXKWV1fNasKXZJXq8Y61QO77iA6d+/8M9PPhlQkCLLEg/dFk7jWoXfm8yyNsoDB8Ibb8CMGSLQ+vTTgF+eJElMuDEMvz/ATrLevcVw2ltvhddfL3VwdUlUBUJVlEqkXcNjd0Yw/b4Ivvsji7Evx7Pn6D+g/fMykWWJu4fZuf8aOw+/mcjqzWWPqTAbZV4aF0moVaZmlKbcwVCNKB3P3heBxwvrj1TjpqsszF+azp1DbPzwRzb1q2tp00h/0d4qP4vv9sKzC5Lx+1UevDWMBd9mlJjNGtrdgkaR+LoULVEV/3+JT/Eya0kqdz1/HtUPCx6P5cFbwqkWcQnNjN8PmcV9rHKcft76Ko0HXomnRT09dw0N4c0v0hjS3UKtaJnH3kqm6JVh1EOfjiYWfp9N9UgNOq1Ev04W7hgSgvT779CmDarJzNtfp7PtoIsbr7Jy3ZU23vo6nXrVtSCpZOfquKmvhT1HXXz8UyYdmhhISvczuKuF9CwfS37OpHaMll5tTVhNcsHr3LYvh87vPcQhd1i5WucBfD6VjCw/IeYybo+nTonPZ/t26njjOVGGK7IkCR+3L1ZnoaoqfTqasZgkXi9LK6TVQo0a4s8ZGTB4sBgdFEwGDIBJk6BnT5FBSQ3M/VpRJB66PaLg70+9k1JqQwfh4XDNNcIHr2tX8f9yvA+tRuKZeyPYsj+XZWsDlAA8+6wIIJ99NuDzVAVCVVySFvUNvPVwDEO7W3nqnSRmfJD8r/av6dPBzMvjo3j763Te/65sEbVRLzNjbBTVIjVUixDB0EuBTq0HurQ0cecQCz6/zJe/ZtOtlZFNe8WcpKfeTeHRUWFYjBQLhooeOjnDy/yl6TSO0zOwi5nZn17scaTIElNuDmPx8ozARIxV/Oc5m+jh1Y9SuOeF8+g08MGTsUwaGUZMeBkBkKrChg3i5ti7d0HXkt+vsmJDNrdPP0dSmo+3HxVeXe98k8GTd4fzzW9ZfLi8+E2qdoxC0zgtP6130LCWFp/PT79OZu7opUEaPx569cLdrCXP/mLmmzVZDOthYdQQOxt3O1m/y8Hdw0J4b1k2fZqeIjPHz5PvJKHI4Mj1F2iDPlyeQecWBjbsdjKsR2E2aOPmNJok7iRLH4JF8RAeUr4MfWqmD71WlMhLpUiLdtyG7zlxrmzNT8+2JpLTfew95i5ww9+wx1m2k3KdOkJuodEIv7VyaF4Col07ESy8847Q1UyZEvBTi5pTZjlUHp6bgDO3jMyQLIuylcMBDzxQrpcZYhEzyT78MYMt+wNoDImLE5rd994LeOJDVSBURUAossSQbhY+fKYaNrPMXc+dZ8nPGbg9/85yTJM4PfMfiuavvU6eeS+5zItYp5WYfl8k9WpoiQlT+GVz+YKhm/paaRiTRma2yv7juWgUqB6lQauFx99KZvaUGEo7Uo4TVm/OZs02B3cMCeFUgpdft1xsB1Cvho5h3a3M+az8ZpBV/EPJzRUmp8uWwSuvCEf5p58uc/TNqQQPLy5K5v6X4rGYZBY/XY1xN4QRGVpGALRlCzz4oLiBdOkijE7feAPsdg6ccDF+ZgJLV2fx5F0RjLs+lFc+SuXgKTe3DrTw0JtJnE8pfjMf3sOMBGw96KFVAz2Z2T76d7Zyh3GrKF3Mm0eG3s6Ups+zaW8uQ7tbGHd9KBnZPmZ+ksKDt4TzyYpMurTUEx3i4Nn30wixyHRtZeJ8io/BXS2civfwy185NK2jJypMU2yg6tolW+ix92t2xXaikblkd/aySEr3YTErBdPrS6RIIFTn5485frrslnitRqL/FWZ++Utkoa+70oZGhne/SS/9STfeCL//LrIb330X/O5dWQarVdi/PPEEfPIJ/PxzuQ8TE64hOcPPY/MTC+1XSqJhQyFi/uorMXuyHMTFann0jnCeX5gSWPv+44+L7rEXXgjo+FWB0D+Jv+sGVoHzWE0y424I442p0WzZn8tdz59nw25nyTfff/gNOTJUw5yp0SiKxIRZCaW6OINYyJ68K4KmcVoijd5yB0MDWp4kLlbhyBkvYSEyf+3L5ZreVo6c8bB2m4MJN9gvek5+V5nDBa99nExapp+pN4cx78s00rMu3knePsjG6UQvawPwTfpPoqrCR6SySUkR1hWjR8PUqUL3UBnf9YMHRQvy1VcLA9X0dHj0UVE2uYCjZ9w8tzCZB16OJ9yuYfH0aoy5NpSwQLIhHg8sWCDKPQDvvENqnea8+lEKj8xL4qqOZt55NAZJgtEvxVO3mhaH08uczzKKHcZihLkPiuGqJxN8dG5hID7Fw4AuVkZdqRMt4WfPcjqkDmNH/sQZl5n+nc2Muz4UgNmfptKlpQlFga0HcrlrqJXf9tcky+HH51NJSvcWaIPe/jqN6/vY+HWLo1g2yLl2A1vUOrQ/vZZP2j7AsJjAdSL5JKf7MOqlsgOho0cLNDY1pt1NarZKtrPsppJebU38scOBz6ei00oM7GJh1V85pZeVxoyBli2FH8+8eeVqBy83Dz8MTZqIczrKt348eZc9b1Ctj6feSSp7czx5suhSe+CBco3gAOjUzMgtA2w88VbSpRt4oqLEtfnVVwEduyoQCpQzZyr3+CkpQsX/22+Vex6nUyyun3xSocPUqabjtYlR3DfCzpzPU3l0flLxSN3ng2HDxAJbmfj9cPfdsGjRZT3doJN58q5wurY0MvaV+NIt8P1+lOlP88gvk2h/dh3hNoVf/nLw7PspAU2BlySYMzUCi1FmzRYnfdqb+PrXLIZ2s/DxikzC7Qodmub7twgLfG+RWMfpgufeT6ZFfT3dWpuYt/RifYFeJzN5ZBhzv0wLrNPvp5/E7r+y2bFDLOSVTVKS2HWOHl14U68M9HqxwH7yiZhzdO21hcKuYFK/PhjFzCzGjxejfAyFHj9JaV4+W5XJPS+cZ+qcRKpFaPj42WrcN8JOaFllnQtp1UqcS6vFO+YBllYfzp3PnkejSHz4dCxtGxl4bmEyT72bTKemOr77I5ujZ4sH4kO7m5n3UAxT5ySRnuWndzsjR8+4GdTVyu2DQsT7uO8+dg57gPHXLcNnC6VbKyPjrw9FVeGDHzI4csbD4K5mXv04lXE3hLFmWy7HEkPweFW6tjKRkuFnSDcL2w7kcvi0h45NDRw/56F3O1PB69hkaUmDOkZWj3ye+uE+OkSXf1OQnO5Dp5XKthJ4/XUxi3HKFLS330KNGN0ly2N1q2uxmGR2HhFrzO2DQ1BV+OinjDKfx7RpIhjOKVvTWCF0OrEWtG0r7hHlwKCTeemBKEJtCsfPe3n2/aTSu7wURZTI2rYVGc9yct2VVlrW1/NsIJ1kU6cWb98vg6pAKFD69q0c5X4+GRnii37VVUJhX1muotnZouZ8661wxx0Vco2WJIkebUwseiqWJnF6Hng5nre/TiPH6Re7Cp9PpPPvueeyvvQB4XbDuXNiVMfs2SKNXM4gT5Yl7hhiZ/z1oTw6L5GVmy5YcFQVjh+HhQtRPvuUKZ/dQdeaTsJCFH7f5uDBNxIDcnfWa2XefjQGWYbPV2UxtLuFjXuddGpqYPp7KYzsZ8Gm8YCa/7svPKZfhVMJbj74PoP7rraz87CLDbsvXrDaNTbQrrGB95all/1isrPFoOC5cy/5uiuM2y1m5ZWji+OyMJlg6VKRfq9Vq/LOY7HAW2+JjM20acUG8AYVs1mUxV5+GebMAUUh2yG6B6fMTmDUs+c5fNrN3cPsLH2pOncPs5fbBwgQn9umTWy95znujX6U37c7eXVCFDf1s/H21+mMmxmPzSxjMUgs3+AslvwyaGHBY9G0b2zgjmfj8fpgUFczW/fnMrS7ldsGhhQ8dsUeiSdqTcYeZqRlCzuTbw7D5VF59v1kNux2cu/wEB6em8RNfW2EWmQWfJuJJKlc1cHImq0OZk6IQlHgra/TuGuojcXLMxjYxYxBV3gbW7vdSdsWVpaae3L/wx1EkFpOktK8aJRLZIRsNuEZ99prEBNDXKy2TME0iPWyV1sTa7eK4CzUqnBFCyPf/p5Vtr9Zjx7i+xYWVu73Ui66dRPXT/4Yp3JgNsq8OiEKm1nm4Ek3MxYll95l3LQprFghOuPKiSRJTLwpDI9XLXEzWAybDT7/PKDjVgVCgeL3iy/Khg2Vc/y6dWHTJrj5ZlHfHDYsYBV/uYiMFL4U06fDRx8JwdxlDqrLx6CTGTU4hPcejyU+xcuo6ef4ea+E/7vvhabh/ffFZ5fvgh3M2WUGA3z7rainT5kCN9wgRo+UM+0K0KudmZkTo1nwbTrvLksvvJDdbuFUeu4cADIqE/a+Tp8OJsJCZHYddnH/S/E4XZcOXmPCNbw6PgoVWLo6i5b19bi9/8feWYdHcbZd/Lcu2Y0nJMHd3d1dWqAC1KDuLTXaUuruTg1KgVIoLYVCcXd3hyAh7lnXme+PJwmkcbL0fft+nOtasrvszqzMzpy573OfI9Okjobnvshk6v3V8r1Qiu9EHC74fb2FE+fdPDkujE9+yS7RbOyhsWFsOejg8NkyyKfJJMiJRlOm5iQg6NRJrMtkKv+xVYHJJES+0dHXdj0gfqfVq1/79bRvj2fys2w+6OSV7zK45cUkNh9wMKSbid/eqc60uyPp2tJQ4WT1kpCS6ePlH7J5N+Q2bhsayrS7I1ix3cZ9b6dg1Cno3FzHsq32Ylqgzs11/P5Bdb5YmMMr32cRZlbSvK6Gg6fdvHJfFLcNESRIkmRmLMnlhyW51IjWUrdRGFMmRZOZ6+eJj9KQZeG189HP2Tx9WzjdWxuY+k0GGrWCVjUzWLXLyYdPRBMToWb1TjsKBVxI8ZFjlZg44jLRysz1sfuYk3OJHgZ3DhI5aSW0EctDZp4fBZRNhP6GunEaLlTAgLZPeyOb89tjAJNGhOD3w7o9//52ttmo5MPHownSKzly1s0HcypWLa8sNGoFr90fye6jTpZsDsyk7HUiVFGsWSN2sP37F02CDySCgkR+2bffivW1a3dtXKpVKhEQu2GDqNx07iwqA1XUOcREqHn1viimTork17VWHvs4g5MTX4Bly0RPvV07IcabPVuIAAMFrVZUgW68UWSj5eZetT19o1pavn6uGgdOuXj520wcLkm0Qj74QLzmevUAUMyZzQMDVAzvbiLUrCQh1cvdb6RUyAW1dSO9GKv3w7ZDDrw+mfBgNTERKl6dkcNTE8JFq6WEr8PjgzdmZNCkto6uLQy89E1mMYFiqFnFg2NC+WBOdtlTKRERYlv+25j0NYFCIYSZ11EhSJLMgVMuPpyXw03PJ/LLagutGuiY+1oc7z0azaDOQRj1Vdt9uzwSs5blcv/bKdSspuHzp6txNtHD3W+k4Jdk7hwWzLKtNtbvLUqolQqYenc4TevoGDk5iUNnPDSurcHtlWnT2MAPU2Np00i08NweiTdmZrHzqINa1TREhKqYOimCkxc9PPJ+Kl1bGmhWV8s3i3J555FoOjXTM/mTNPx+mbH9gjh8KYp3HwmnRrQGp0ti5tI82jbSs3GfgzcfjCqsBvklmXd+yqJrSwOHznq4c3hIsfdbUWTk+PFLMsGVqK5VpCIEQlIQalZxID+frF51LTWi1cxf/Q/8Bv8BhJpVfPxkNXQaJXtOuCqfJF9BhJhUvPlQFD8uzWP/yap3G64ToYqiVi3YulVMPdxwA/z007VZj0IhMlm2bxfXu3cXZdFrIcbs1UtUg4YOFRqE0aOFVkmS4MCBq15s28Z6vnshhgGdgnj+qwzey+pCxsZ9ohQ6dKho/d1xhyAsgcKSJYI8FuD77686ADcyVM2nk6Mx6BQ89uEVuTo9esChQ/Dww2C1opg3j4kjQrl9aAh6rYIcq587X00hPbv8HWL31kaevS0MpxvOJ3vJtvipV12LQadgxp8WxvY1g6Lk79zmhLdmZfDozaGYDArenpVVrAw9qHMQHZrqeeHrjLLHWmNirqoUfh2BhyzLxCd6+HZRDuNfSubjedlEhqr46rkYpk+JYWy/4IqJn8uBxyuzeqeNia+ncDrBw8dPRqNRwwPvpJJt8fPCXeHsOubgm0V5eP/Go1vU1zB1UgSfzsth1l8WqoWrqB6tRK9V8tWzMUwcEYpWc9kt+qlP03F5JKLC1Gg0Cl6+J5J1e+y88FU6D98Uhs0p8ecWO589XY1mdbU890U6mbl+7hgazB8b7dzYPp7aMaKqs2CthZgIFSt32Hn74agiY/G/rLJgd0qkZHm5c1gIwUFX/zll5vnxeOWyfYT+hjpxGs5XgAiBEE1fGQQ9cWQIyZk+ElL/N9zhw0NUfDI5GpVSwfbDTr5ZlHtNyFDdOC3P3xnB6zMySSwhgqgyuE6EKoPISFi/XuiFJk4UI63XajKqfXvYv19MJjz8sND0FOh5KpAYXGFERIgqyhdfCPFsmzaiYjNmTJXWo1IpGN3HzE+vxGLQKbj7Jw0/vrQKZ9NWojqUkFBpP4kyMWaMCA988UVReZBlQe6u8vvRaZVMnRRB3/ZGHn4vlX0FZx0mkxD+rlkjqimyzI29zUy5KwKNSoHPLzPx9dQK5bQN7W7mvhuDsTllktK9pGX5aJnfKtt+xEn7JoZSn3vwlIf5a6xMuyeSzFw/Xy4seualUCh49JYwosNUvPqDCLm8jv9OpGb5mLcyj3veTOW5L9Lx+GRevT+S2a/GMnFEKDWrVb69U9p6vl+cy61Tk1i61cbDY8Jo1VDPs19kcDbRwy0DgklM8/DSt1lk5BTdXkJNCj54LAKHS+aNmVlIMnRprsfukpkwOJSPn4wWrah8nE8WFZ8a0WpyrRIer8zL90Ywc2kuM/7M4+2Ho9i4z8GJCx6+fLYaNatp+PDnbI6d83D70GAWrLXx+v3hRAcLHdy5JA8L11q4mOJlyp3h1K9xWZd1NN7NwnVWBnYKwuaQi0yRVRayLJOZ68flkSvVGqseqcbmkMquwOajdzsjWw86C3WFPVsbMeoV/Ljsf6MqBGIi94W7InB7ZbYedLBg7bUxe+3S0sCEwSKTzFaRTLJScJ0IVRZBQcLT4fbbxcjhM8+ICordHnitRVjYZbHk/PlCa3HihDjoB7KaolAIXc2uXeL9TZokSMWkSVUmeiEmFY/fGs5XU2I4t+cid3SeybKm4/ArlDBvnrgECpGRwjfiwgWhTTp+vErTcQqFgtuHhvDsHRG8MSOTn1fmXe55DxgAc+cWisC7tzLywePRaDUKNGoF97+dyqEz5Zdsxw8K5eb+JvLsMmk5PpLSfXRqqicz14/NKdGqQckmajJi0uavbTbeeiiKfSdczF9TdGejUip4cWIkPr/M+9eoX38dlYfDJbHzqJPpv+dw/zsp3PtWChdSvTw4JpRf367OY7eItlNlgkJLgyTJ7D7m5MWv07n3rRSsDol3Ho6if8cgvliYw66jTjo317HziIuZS/M4ebG4fu/xW0Po2tLAs19kcT7ZR7eWevQ6BeYgJbNejmVoV1OR17rnuJMnPkqjdoyG7Uec9Otg5OV7I3lzRhaHz7p579EovlmUi1+Cj56IJsys4pfVeazYbuem/iZ+W2fl9fsjaZqfEXY6wcPkT9PQ6ZTcMSyEbq0uT4lZHRJv/pjJQ2ND+W29lYfGhFVJL2WxS8iyjNUhEWyq+OFRpVJQK0ZT7uQYiDZaRIiKA6fE/kGZ79G2/ZDjfyomp21jPQM6BVEtQs3cFbnXLMT75v5mmtfT8fobh6/687tOhK4GGo1ojT31FHz8Mdx5p9DBXIsJHKUSnntOVKKys6FjR9i4ER58MPDVqIgIoeMpwJIlYhIrAKhVTcMb73XipWcasWzUy9x/91Z21+4jfCsuXAjIOgoRHg6vvirE2V6vmF6rArq2NPD1lBg27nfw8neZl30/QkIujzcDTeqIpPtQkxKTQcHTn6azaX/5I68PjQ1nUGcjuVaZTIuPi2k+urY0cOaSF6NBQZPapVcEvluUy/q9Dt59NJrf1luKTbxpNQpevz+KhFQv069Rifo6yobHK/Q+M5fm8tiHqYx+LpHZy/NQqxTcf6OY+HpxosjBU1XhIH4lLHY/v661cOdrKXz1Ww4dmhr4+bU4mtXV8toPmSzfZqNWNSWHzrhZs9tJSRy5VUMtz9wWyvTf81ixw0GDmhraNNJyMdXH1ImRvDAxspj78pLNVl77IROjXonPL/PtC7F0a2XgiY/TMQcpefb2cF75LpMGNbS8/kAkBp2SdXvs/LA4jyFdg1i+zc60eyJpna8xSs4J4oWvswgzq+jR2shN/S7rzGRZ5sO5WbRtpCcrz0/Naho6t9BTFWTm+gkPVuJwyYRUsr1WUZ0QCNH0hn2X22N3DAnGL8GfW/63YnLua5xCVp6fTs0MvD8n+5oQPYVCwZPjwnGnZ/P1m9uvahnXidDVQqkUo5Pvvy+qDpMmiSpE/mRRwNGrl0i2L/CSWLDgqr1zSkVkpKg23Xjj5ZHgKVMCOinXppmJr99uwrj7WvHxuJ947u5VxL/6dZXJSokICRHfSwBCcOMi1XzxTDXMRiUPvpdKfGLJZzexkWq+fC6GWrFaTEYlr/+QxZ9byidDz98VybBuQeRaZHItPi6keOnaXM+uoy4a1NRSL67k9+CT4PvFOew+5uSdh6P5amFOMRv6IIOSdx6JZscRJ7/8j4gy/5vh88scO+dm7oo8nv4sjRueSeSrhTk4XDLjBwXz+3s1+Pq5GO67MZQOTQ1Fxr+rilMX3bw/J4vxLyVz7Jybp8aHM/OlGMKDlTz2USpzV1jQqmXiE70cOF3yQTsmQsmbD4STnOHnw59z0WsVjOoVREqmj2Z19fwwNYZ2TYoSDo9X5pNfsvnuj1yUCrhrRAgfPB5NWpaPRz9IY1DnIG7sbeKZz9IZ2s3EE+PCUCkV/LbOwts/ZtGphZ5th5w8f1cEHZuJk4sDp9ws2VePBjW0RIaoePzWsCKVp6VbbFxI8XLbkGDmr7Hw0NjQKlfRMvP8hJnV6HWKQq1TRVE3VsP5ClSEoKA95ihsWRsNKlo30vHrNWohlYhradCYD91PM3g+dh/7Trrx+2UWrrs270+rUfAaf7DjLCydfaTSz79OhKoCWRbi6fr1hQmV1Sp8Ra4FsrOFtqYgiA+EBubsmcCtw2CAm24SmqHUVCE47tEDxo8PqGOvUqlgYOcgfnq9Bm0GN2VyxGN8MDebzP/y/DK9Vslzd4Rz6wAzkz9JY83f/YbyUZBc37GpHpNRyVe/Wdh+Oqbc5T9zewRj+pjIsclYbH4upvno2FTPsq12erYLonp0yT9Xtxe++T2HkxfcTJ0UwRszsjhzqShRCw9W8f5j0SzaYGXF9qv3jrqO4pAkmbOXPCxcZ+GFr9K54ZlE3pudRUaOn5E9TMx7M44fXorl0ZvD6NbKiMkQ2N2u2yOxaqeNh99P5cXpGUSFqpj1cizP3xlBeo6PB95J5YuFOeTZ/KRm+biULpUY6RIToeTthyOIidDw0rfZZOf5Gd4tiMgQFeeSfHz+dDXuGRWK7griJssyG/baGf9SEqt22GjdUMesl+MY2tXE0i02Xv0+k2dvD6dWjJrnv8zg4ZvCGD9IVD/em53F9N9zGdw1iBPnPUweH1bY9tp5xMmbP+bQoFoemXl+XrkvqkjL61ySh++X5DLt7kh+WWWhf4cg6sZV3c8pI8ePOUhZKX1QAWpXQjBdq5qGahHqy9pD4OGxoaRl+69ZC6kYPv888NX4v6NlS5o+PJobohNRqxTMXZlLQuq1sesIjQvlreV388NmOLC9cgbI14lQVaBQiKpD06aX75s3T7SuAo2ICHjzTbHhrloF48YJP56JEwO/LhD6pHvvFSP2W7de9gAKIHRaJROGhPDTq3FodSomvZHCrGW5FfLj+U9BoVAwsqeZ9x6NZsafuXy2ILtEIbJWo+CFiRGM6mnCoFOw53wMH88rvzX16C2CaOXaZKx2P5fSvbRuqOWnZRZG9jATHVryWarHB1//lkN6jp+HxobywlfppGQWJZZxkWreezSab//IZdvhf79vyX8CkiSTkukrrK69+n0GY6Yk8eL0DOITvfRpb+THabHMfjWOyRPC6dM+qHIuz5VAcqaPbxflcOvUZFZst3NzPzO/vBFHuyZ6Zi7NY+wLicxalsfFFB+5VgmrgxJbYA1rqvnp5Wh6tjEydXoWh067aVFfy8BOQWw55GR032A+nRxdjGgcjRf+WR/Ny8bnh6mTInj74WiCTUo+m5/N/DUWPn0qmoxcPx/Myeb1B4Q2KS3bx0PvpbJ2t51xg8zsOurk4bGh9GkfBMDmAw7e+SmL0X2COJ8ZzBsPhBcmywM43RJvzMjk7pGhSDJsPeQs4idUFWTm+gjSKyo1MVaAunFaLqZ4K9x+7tPOWCQOp34NHdFhKqb/nj+kEh9/bYmK2SyGcTIzr9062rYFv587pvXDl51HqwZ63p9TfMo1IIiNpW72aZ5f+ySv/5hLUmLFnbgV8nXRQJmwWCyEhISQl5dHcHBw6Q88dEi0rn79VRCjgwevysyrUsjJwT5/Nqb0J8XNZ3IIDQq9tuu8hriY4uW7xbmcTvBw98gQBnUJQqW8BtEFAUKu1c+bMzNxeWReuTey1GDLJZvy+GphNn5JRafmet58KKrc9zXzzxzmrrQSHKTAoFMSFabiWLyHod2MbD/sILeUoo5GDY/fGk6Oxc+qnXbeejiKWn+bOjp02sW0bzO4c3gIY/uaAyLK/bfC6/WyfPlyhg0bhuaK36ssy6Rl+7mQ4uVCipeLKV4uJHu5mOZFo1JQJ1ZDnVgNDWpqaNtYT/Uo9T/yOfolmT3HXCzZbOVovJv+HYMY1ctEkEHJ6p12Vu604/FIBBmVXEr1lRrmC9CusZaX74li1zEnH8/Lxu0Fc5CSG3ubWL7NTptGOpFXFlyUyCVlePnujxz2n3QjyaLN89DYMMxGJRa7n9d+yMTvh1fujeC39TbW7bHzziNR1I3Tsu2Qg/dmZ+Hzy4wbGMzSrXbuHBbMyJ5C+7Nml52vfsvh/tGhfPN7DkNanOK+23sX+W4+/DmLPKvEa/dH8PRnGXRtaeCWAWXsmyuBD+dm4ZNksnIlPni8Asac2dnCwVitRpJkRjyVyJzX4iqUeJ+U7uXB91L5/d0ahW243zdYmf57Dss/qYH28AGYNk1Mp16LbWvDBujXTwzhrFtXKcNTu8eO6R3x+DKPOx6PIFweD+eqteCJW/4kKkrP0G5B3Nw/MN9ZIRYtKnQSn9/pMVa2n8jb0+pSPS683OP3dSJUDipMhApw+rTQDbVqBY8/fs1fX4U3yP8CON0SBl35Z1r7T7n4ZlEOkgQPjhE6iv9W+CWZH5fmsWKHjZcmRdK2cXGxptfr5euftrLqaAPcXpmGNTV8+lS1crUhP/2Vy09/WTAZwKBT0aSOlq2HnDStqyExzYullBMetQomjw/D5pT5eaWF5+4ILzJpA3Ahxctr32dQs5qG5+6IwGT8/1kc9ng8/LpoLfWa9SQxXS5CfJRKCglPnVgNdeK01InVEB6s/MfJY2qWjw37HCzbYkWrVXJDLxM92xg4cMrNqp12jp1z0aiWjsxcH6lZ/hIrPwXo1cbAlDsjOH7BzRszsrDYJYIMCgZ0NHIu2Utmjp8nx4cXanUKYLH7mbvCwl/brIQFiwP/M7dH0C5/m7+Y4mXqNxm0baTjwTFhfDo/mwspXt55OIrgIBXf/ZHD2nwH5dF9zKzYbuOm/mZu6if2q8u22pj5Zy5T7orgw7nZTBphwpu5sQhJ3bDXzjeLcvnuxRgOnXHz/eJcZk6LRaMu4/uQJKHprACe/zKdYJMSpULB83dVwF/r669FRmT+kMmD76Zy342htG9SMdH2A++kcNfwy5Nwfr/EsMmJ3DogmLujT0LXrmJi+NZbK7S8SiElBeLixPXBg2Hp0gqfvFfquNOuXaEv3S89n2VtjwdIc2n49vlYqkcHsFiwc6dwfM/KQh4zhvf6fEBqWh6fTWlQ7vH7/+fe7yqw66ijYiXPRo1E0Ogdd1z7F/UvgtcnM+n1FD75JZv0MlLeAdo11vPNlBhu6W/m/TnZPP9l+j/XN68kVEoF994QylPjw3nth0zmr7aUuJ3UibLw8RMRBBuVnE30csuLSZxLKvs93TU8lEdvDsXmhDy7n+Pn3XRraeDUBS9WB0SGlLzz9/nho59zCA5S8vK9kXw4N5vZy/OKjM/XidXw9ZQYjHolD7wjjPX+P+LTBXnM3daUuStsXEzxUjdOw6QRIcx6OZY/P6zBF8/E8PRtEYztF0z7JnoiQlT/CAmSZZkzlzzMWpbLfW+LEfuziR6euT2cpyeEcS7Jy8TXU1i80YrJqECthMNn3SRnlkyCFMDgLkaWfVydGtU0jH0hiWc/z8DrkxnY2UhIkJKDp90M7GRi5rTYIiTI65NZuM7CHa8kczTehVKpoEdrAzOnxRaSII9X5vmv0hnTx8wtA8xMnS7CVz+dXA23R+bRD1LZfsSJzy9x60Azq3fZGdnTVEiCfl9vYdayXN5+OJIZf+YyuEsQAzsVJe8pmT4+W5DD1LsjMOiUfPtHLg+MDi2bBHm9whW+ArA7JY6dc3M6wUPPNhU8+Zozp4hLft04TaX2VX3aBxUxV1SplHRtaWD5dttlO5Ynngisd1wBYmIuu72vWgV3331tMi7bti00bb3llSEYw4NoXFvHB3OzA2vpUbcuLF8Od9yBYv58nhqqwFlWhtsVuE6EKogZS/O4961U1u2xV2wEMCzs2r+ofxE0agVfPFsNpRLufjOFzxeULY5WKhUM6mJi9quxtKiv4/GP0vjo5yyy867BdFkA0L21kS+frcaa3XZe/T5TBM/+DfVraPj2hRhqRKuRJLjvrVQWbyp7imJM32A+fDwKnw+y8iSSM3zUq65Bp1GQmScTHlzyQUCS4f3Z2ew97uTzZ6qx9aCDV/72ugw6JVPuDOf2oSE881kaSzZZ/9+N1z80OpgH+x/ms6ciefaOCG7uH0zHZgaiwv6ZVteV8Pll9p108fmCbMZPS+bFrzPIsUrcd0Mo378YS/3qGj6dn8PrP2Ti8Up0aKLn+AUPm/Y7sZViWaXTwoRBZn6YWo2kDB8jn05i3ioLJr2Cnq31qFUKcq0Sj98azsxpsYzoYSoUQ8uyzOYDDia9kcL6PXZiItR4fPDBY9E8OCasSEVTq1HwyeRqpOf4ePi9NFo11PHOI1HsPOrkgXdTycj1Exep5sExYSzaYKN/R6PIIrNa+fnDbfy61spHT0bz8yorcZFq7h5ZVPPj88u8OTOTMX3NtKyvY9ZfeVQLV9G9dRmERZLEwT0+vkKf/6qddurEabDaJTq3qAAROntWVCG2bCm8Ky5STWpWxfdRvdsZ2XHYicd7+Xd3/42hOFwSNnv+/jEtTUzvBhoKBTRpIq6rVOIk/kwAh28KMGAA7N4NtWqhemkqz98RzpkED9kWP0s2B3Bwo1o18X4eeghcLrRzf+KV+6Iq9NTrRKiCmD4lhjuHhbAg35vjz83WIhvvdZSPqFA1T9wazoyXYvH7YeLrwuOkLHKj1yq5fWgIP70Sh1Kh4K7Xk5mzPK/stOb/EGpEa/jy2WpoNQoeeq9kd+nocDVfPhtDk9paQs1KPl+Qw4vTM8p0fm7XxMDs1+LQaxWcT/Eiy6DXQmSokmyLTERwyT9jGVi4zsobMzJ4/q4I9FoFj7yfyqW0y1MbCoWCod1MfDK5Gr9vsPLmzKwSSdz/KvQ65TWRX1QUdqfExn123voxkzHPiTH7IL2SV+6NZM6rsbRtpGPRRit3v5nM/pMuasVosLskVu9ysOmAs9TlVo9S8dGTkTw5LpwVO+zc81Yax895aFJbQ7eWOuwukaX16VPRvPdoNJ2aG4oQvxPn3TzxYSrf/5pOs7paEjN89Gxj5JvnY2hSp6jJp1+SWbbVxiPvp5KR4+f7qbFMGBzMR3Oz+XieCI6+fWgwwUFK5iy38PSEcO4eEoT81dfMGPUhy1Oi+ezpaqzcbiczx8/zd0Wg/JuGbubSPLQaBRMGm/l+SR6bDzh47o6I0smqLMPkycL0tFmzcr8HSZJZvMlKcJCKAZ2CKmbKOHeu+LtlS6Gnm88voy1ZKlgi4iLV1IjWsOf45e8yLkpDqwZ61l+4oiL2/fdFCFfA0KKFyGX0+0WMVOPGgV/H+PEio/Hll2HnTqrvXcPdo4TQfeafOcWGOqqM5s2hZ0/45htMJfvRFsN1jVA5+LtGSJZl9p5wMW+VhUtpXm7qH8yonqYqByBeLf5NGqG/IzXLx9wVeWza72B4DxPjBgYXM2j7Oy6kePl2UQ7xSV7uHhnCwM7/fYJqWZZZvMnGj0tzeXJ8OD1ba4sJcn1+mdnL8/h9vRW3RyYsWMlnT1UjLqr0nrnd5eeeN1JJz/FTLVyF3SkRGariQooPk0GB3SmXKI5VKgRxeuzWcPJsfuatsjLlzgi6tix61utwSXw8L5vTCR5euTeySIzB/ypKE0tfS2Tm+th+2Mn2w04OnXHTqLaW7q0MdG9lIC5KzekEDyt32lm32054iIows4qziW7spfMeQLS/erTW8+jNoXy3xMLG/Q78fjDqFXRpYSAl00tatp8bepsZ2cNU4m8t5XgyP/ycyP4sE4Pj/2B/l/HoQ4N4ekI4tWOLfz4HTrn46rcc1CoFj9wUSssGes4ne3jx6wxyrX7aNtbTqZmBn5bn0auNkftvDCFo5RLk55/n66hx7G48jDffacuCtTb2nXDx5bMxhULjgu+mWr3+vD8nl2+er8b8NVYOnHbz4ePRZQuSX39d+LqBaPsMGlTmZ7f3hJNPf8nG6pD59KniE3LFIMvQsOHlatOJE9CkCdN/z8GoV3JXJUJfF6yxcDbRw9RJkYX3bdrvYP7CBKZ/1k5Ys4weDX37CsuUQCIjQ/jHtW8v1nPsWIX0VFd13PH5BCkNCkLas5cpX2fh8kjoNAo+eDw6sBXY+fNh/HgsixcTcuON18XSVUVZYumj8W7mrcrj2DkPN/Q2MbavmZBKJBYHAv9mIlSApHQvc1ZY2HbIwQ29zdzcv/zPcd9JIahWAA+OCStm8PbfgKPxbl77IZOerXVU121n1IihxQ62h067eGNmJg6XjMcrM+WucAZ2Kn16w+eXeeGrdPaddKPVQJhZhVGv4HyyD7US1GpwlSJRCNJBpxYG+nYI4qOfsxnTx8xtQ4KLnH3Lsji7/35xLkO6mrh1YHCFJmD+rfgniJAsCxH29sNOth12ciHZS/smerq1NtC1hQGDTsGhM252H3Oy65gTi10iOlxNUroXt+dv5LbghqLwH8xBCiaNCKVWNTWfL8gmIU1UWGtWU9OusY4dR10EG5Xc1M9Mn/ZBxY0CL1zA9uMv/Hw4iKXh/eh4aRMWfTjxdTtz1+gobuhlKlahSc708c3vORw/7+beG0IZ1DkIhQIWbbTy7aJctGoF948OYedRFwlpPp65LZw2mfvhmWeQduzks15vciymPQ/eFM7nx6pTJ1bD07eFF/nde71eFv6xmkX7WzN5fDhbDzmJT/LwwWPRZe8fvvyyKGFITITq1cv8jqZOzyA4SMGFFB/Tp5Tv+cWOHdCt2+Xb334L99/Pp79kExOpZtzAik9EpWb5uPetFH5/t3phW9Lrk7nl2Qt8ONxK/UnDxboWLKjwMiuN336Dm2+G338Xprrl4KqPO7/8IgTNv/5Kev/R3Pd2KkEGBRMGhzCix9VnxBWDxwM1a2Lp3JmQpUuvE6GqoiJTY+eSPPyy2sLOI04GdzVxS38z0eGVqI9WAf8LRKgACWle5izPY9dRJ6P7mLmpf3AR/5C/wy/JrNllZ8afeTSsqeH+0WHUKeGsNeBwOotEa5SFbIuft2ZmkJCcx8v316Blg6Bij7HY/Xz4czb7TrhwumX6dzTy/G0hqLSlv5fFm6x88WsOsgx1Y9XYXTIZueIAGB2mIC275J+1VgPBRgWP3hzBnJV5hJlVPDQ2tNgZcFKGl19WW9i4z8HATkGMGxRMtX9om75qOJ3gcBQKMyuCqyJCp04JT68CKBQQHS0Cf8PDAWFyePKCh+1HROXH5pTo2lJUfdo31ZOV62fXMRe7jzs5dNpFRIgKo15JQqoXn7/A70emxBKfQoFKCT3aGJg43MyqnQ6WbLLj9MiolNCphZ4wk5JN+520bqTnpn5mWjcsObvM55f5c0MusxelUT31BA6tGbfawE31Mhk6dWSxKU+7U+LnlXks3WLjht5mJgwOxqhX4nBJvPBVBsfOuenUXE/bRjrmrrQytFsQE0eECD1Rair+Rx/n/ZyuXAxrQFftJX6PHcn9o8MY3j2o2Os7l+jk2c8u0bdjONkWSM/x8e4j0WVPOKaliandmTNFHmNwsPhbRrUhJdPHfW+n0KyOju5tDNzQy1zqYwuxcCFcugRPPy1CsaOi4NVXeW92Fo1ra7mxdwWWcQUeeT+VWwcG06vt5XbY17/l4JdkHlv9nBgNz8gIiEt+ifD7RUvJZII9e8od17/q444kiWBvrxeOHmX1Hicz/szD6Zb4fmpsYPcxL76I5b33CJGk60SoqigkQrm5BIeUXe5MyvDy6xora/fY6d3OyLhBwcU8XMrETz8JVm40lv/YfFzVBvnzz6JUHFUxIdlVY/Fi6NChqBt2BXAhxcvsv/LYd9LF2H5mxvQ1l+nG61yzkd8y6vDrPhX92gdx14iQYt4nAcHhw+K7efFFmD0b9BWrQnk8Hj74bje7LtRmeDcTE0eEFHHnBVE1WL7dzpe/5uDxylQjj88fCyGyaa1Sl5uY7uWRD1Kx2mXiIlXk2fx4fGJqLNysIMtS+k9brYRbe2lQnz3N71n16NbKyMQRIcREFN0RpWX7mL/Gwppddvq0MzJ+cDDVy2jflYi8PHj3XaFFCCpOBAOGzEyhRahRQ2gERo+GIUPKfMpVEaHMTKGlyBb6F8aNI+utzziWZ+LYOTdH492cTfQQF6mmU3MD3VsbaFBDw5F4D7uPOdl9zEWu1Ue9GjpkSeLEBS/+0mRZV+yeFfhp00DHo+Oi8Esyn/+aw9F4Uf4LDlIyuLORpAwfh864GdQliDF9zKWOJ8uyzPbDIvjV75PwpGQQbU3i1oPf0rNfdVTfflPkYOiXZFbtsDNjaS4t6+t4YHQYsZFiW9lz3Mkr3wlTvgduDGXTAQd5dolnbhfhsQXwpGXx9t2LSAuphd6ei711R156uGaR1PoCbDvs4P3ZWbSqnohPWxePT8GbD0RhqIgEITERGjSAW26BhIRyDW6/XSR0ilsOO1nwVvUyT76Kvshtwnl/wwbo3RsUCl77IZNOzfQM7Va56saCNRbOJXl4YeLl9tj5ZA+TP0nn1w670N4+TnjTNW9eqeVWCrNmwX33iVH3Fi3KfGiVTsCXLBG/zY0bkXv25OXvMknP9hFqVvHuI1GBa5FduIClXj1CZPk6EaoqConQiBEE//yzOMMoB1l5fn5bZ2HZNhvtm+iZMDiERrXK6TkfPiyYcr164mymV68Kvb5Kb5BpaVCnjjigf/ihcKa+FmpRh0Osx+USZ2j3319hL48CxCd6mL08j0Nn3Nzc38zoPubiWiyfTxyUMjPJ+nwms9R92LjXzq39Tdw0KDRwOU6yLPwwEhLEAXDaNKFDqAAKDrYdug7mi4UWkjN8PHdHBC3qF1fyJaR6eHnaQZKU4SiUCl59OJZuLUsnxj6/xAtfZ7DvhBuDVqRgB5uUJGf4UeW/9dIOsgrZT53MUzwzWs96bWtWbrcxtJuJ24YEF2s9ZOb6WLjOyvJtNrq2MnDb4JASNSMlYulSGDVKGI3++mu5O9mrRl6e8O/q1EkEIQ8ZUq4vytUQIb9f4vxtT3IsQeLY0Hs56oki1yrRpLaW5vV0NK+vo1ldLRa7xO5jLnYfE1qgmtVU1KimIdsiceSMu0yzw8uQaZh+mIfD9tPiyxf4dZOTBautWBwSCqBhLQ1dWhjYfkS01Eb3NjO8u6nUqonF7mf1Ljt/bLRitUv4/NCmkY5bVXtpZcpFMeMHoam54rM4dEbogJDhkZvCCgNRJUninVnZrNvroE0jHW0b6fh1nZWb+gUzYXBwkbH2fSddfDY/G4PXTppbz2DfAe75YGSxNp0kycxZYWHJJitPTwjhu98SiI2J5LX7o4qdPJSJ5GTh+p+WJvappcDlkRg3NZmBnY1kWySm3R1Z6mNLREFGYn6l5sWv0xnQKYh+HSpH+I+cdfHp/BxmvBRb5P5HP0hlTA89/ZorK3TsqRK8XvG51a5d7kOrRIRkWUynNWoknm/1c/cbKejUcNfIUIZ2DVyLzHL0KCEtW14nQlVFIRFSqQhu0EDkcF0ZqVEGrA6JxRutLNpopWFNLbcNDqZVKSVqQERZ3H232Egee0w4VZdzBn1VG+TJkyK9ftMmcSbzzTeXxygDiQsX4IEHYPVqQey+/75w468MhJ9KHsfPu7l1QDA39DYVLdlfvAi33SbO0CZN4lyj7nx3qQHnQxpwz6gQBnQKKqZxqDR8PvjsM3jmGXFbrYb9+0XWXDm48mCrVqtZvcvO9N9zGdApiHtGhRR9L0eP4rn3Ab5X9WdJizvxqTTc2NvMozeHlfkeFm2w8NVvucgyhAcrCQlSkprtx+mWMerAUWK+Yn7rRfbTs6WOob3D2bjPwfbDDm4ZEMzYfuZirZFcq5/f1ltZstlKh6YGRvcx0ayurvwpG0kCm00EPV6rSqQkCTJUCeuKihAhm1PixHk3x865OXbOw/HzbswqL83r62nexEyL+jrqVdfg88scPC20PruPu7DY/DSvpyM4SMGldB8nL1Q8Yyk2QsnE4aEMaKvhxOvf82XIWE5dFBODQXoFvdsaMZuUrN3toFq4ipv6menZxlhier0sy5y84OHPLTY27LMTYlKRZ5Po38HILQOCLxPa9HSxXee391IyfXz7Rw5H4t3cMzKUwV0vDyas3W3nswXZuD0yE4cHs+WQC4UCnr09vEibNTvPz9e/53DglFNEUKR6mXJnBB0a64qdGNmcEu/MyiIz18eUOyP4ZF4WHkc6nzzXFKPh2gj3l2+zsWaXjSyLxGO3hBUzkawsnv4sjTF9zXRvVfGqPoDNITFmSiJ/fVKzCIH8a5uNDXvtfPhEtSq9rkAj0JKMzQccfDpfpNP/8FIsUaGBaZFV1BD5OhEqB4Uf5MqVBE+cKHbmP/1UIUFZAZxuieXbbPy61kpUmIoJg4Pp2tJQMiFyOES14ZNPhEHUzJmCrJSCq94gZVmUQp95RrynF16A55+vcLunwpBlYTr25JPivb36quirL10KffoU7nQrgpMX3Mz6K48zCR7GDRLTeoVniT4fvPGG0G7IMsgye75ZxbcZgqhMHBFC99alfOYVQWKiaO/8+KN4HyAqD9u3l9u3L+lgm5Xn59NfsjmX7OWZ28KLOlLLMixezN6PfufVFtNwKA1Uj1bxzsPR1CjDiTUz18fTn6VzKc2HVgMalYLwECWJaX5kRDvMV+pkvIxGpaBNYx192gWx5aCD0wke7hwWwrDupmJEx2L388dGEZ+QbfHTppGeDk31tG+ip0b0P+/Bc7X4+3dTkCVWQHqOnXNzKd1LvTgtzevraFFPS7O6OqLD1fj9MhdTvRw45WL3cReHTruIi9IQnT/Rd/qiB28lbK+iw5SM6mXmxt4mDp9x8+OyPM4libaZSgnN6mppVlfLwTMeLqV56dbKwI29zTSrW/KMsNMlsXaPnT83W0nPlTAbFFjsEjf0NjO6t5nwUkTwDpfEvFWiKjOyl5nbBgcTlN+aPnDaycc/55Cc6aNDUz31q6tZutXOHUNDGNvPXEiU/JLMsi02Zi7No31THfGXvNSopuHZ28NLnFa7mOJl2rcZNKmj5d4bQpn2TQZ1YtU0CdnOiBHXRsguyzIPvJNKr3ZGlm62Me/NuCpPoD76QSqTRlbcWfpKjJuaVBhFUgCHS+LmF5L4YWpsYSvyvwHXQpv69qxMziR4iI1U89ZDgWmRXSdCAUKRD9JmExqe7dsFaXjzzUqJ17w+mbV77PyyyoJGrWDC4GD6tCv5LI7t22HSJBHZ8cgj4iBcQhZMlTfIjAxBhmbPFtWab74RY5p+v0icj65A3k5FkJYmIkd+/VU4jUZFCWX/qlWgrdzZ3rFzbmYty+NCipfxg4IZ0cMkSuxXVoYAzGakPXvZaK3OrGV5GPVKJo0MoVMz/dX/yHJyRGXriy8EOfr4Y+FXUgbKyrPasM/Bl7/m0LOtkQdGhxZt/fn95M76lVdSunA8VYVfgj7tDTxzWzhGfenb3drdNt6fI4Iww8xKHG6JIL2SbIuEQiHG6UttlyEE1fVqiJHubYccWB0yY/ua6d7aQGQJZ2qpWT72nXSx94SLA6dc6HUKOjQRpKhdE/0/PklZHiRJJjPXT2KGj0upbrbsOo3eXIvkTInkTB96rYJmdbW0qKejeT0djWpr0WsVJGX4OHXRw8mLHk5d9HAmwY1BryQ6TAUKOJ/orRTxAagRpWLCkBD6dTSyfo+d+autXEr3IcugUUGDmlqa1tVw8oKX88leurY00KedkU7NDcWnv/IRn+hh6RYba3fbiA7X4PJIyDLc3D+YoV2DStXZSJLM6vzhg6Z1tDwwJrRQD3bsnJvpv+dwOsFDeLCKu0YE89s6GyFBSp6+LbyIFul0godPfsnG75do3VDPqp127rkhlFE9TSX+7rYedPDB3GzuGh5Cr7YGnvsig1YNdDw0xsTKlSuu2UTfkbMu3pyZRYemeiJCVdw9MrTKy7z3rRSeHBdeYtu7PLzwlWir9e9YtAvw/pwsokJVTArA6wsUrgURsjkkJr2RIgjq6DAGdq66nvA6EQoQin2QHg889RR89ZVwzPzlF+HDUAn4JZmtB538vCoPu1Pm1gFmhnQ1Fd+xOZ3ChOqjj0TfdsYMEZIH4nVotYHbINevF+2yM2fgrrsEObr7biEEDKTAdckSMWWRnCxuT5ok3tdVEJPDZ13MWppHYoaP24YEM9R4Fu28OWLMtGD5LVvCzp34dQbW7rEz+688woJV3D0qtDAe4Krg9YpR02+/FVW7unXLeGjZ7Zccq58vFuRw/IKbpycUz3gSvkRWvv0jD79fRqGAu0eGcOvA4FIJndsj8cp3Gew+LnpiUaEqbE4/fgk8XpFH5ivnoK3TQmSImm6tDCRleNl/0k3dOA092hjp0dpAzRIGAfySzNlLHvadcLH3pIvj5z3UidXQvome2rEaIkJUhAcriQhRYTZeu8wuSRJTdEnpPpIyvCSm+0jO8JGY4SM5w4tWraB6tIa4SCWO3Av06tqYWjGimhUcpCArTyokPOLiRqGA2rEajDoldqef+CRvqVYFpUGpgDqxau65IYR2jQ0s2mjlz8020rLFl6HViMpPkzo6jsZ7OJvooUtzA33aG+ncXF+qTsbjldm438HSLVYSUr3Uq67lUpqXqFA1tw4svW1WgCNnXXz1Wy4+v8wjN4UVVihPXHDz49I8jp1z45dkxg0Kxu4Qho733RjKsG6X2852p8SPS3NZvcvOzQOCOXzGTY7Vz0t3R5Y4zSlJMrP+yuOvrTam3RNJbKSaZz5Lp0drA/ePDsXn811Ta4M3ZmRSs5qa39db+eaFmMoPAZSAO15J5pV7I2lQs/KtvO/+yEGZH9lzJY6cdfHOT1nMe6NsC4B/EtdqWnnPcSdvzBTC+1nT4kqtWpaKc+eKaML+54hQdnY2jz32GEuXLkWpVDJ27Fg+++wzTGUk5vbp04dNmzYVue+BBx7gm2++qfB6S/0gf/pJEIfoaDHa2L69ODhW4gdbYXPGHTsEYTh1StiHv/eeqBJNn45dQ+A2SJdL6JLeeUdUulwuGDlS6KICNba5dKnQDaWkXL7vnXdEhe0qceCUi1nL8kjL8XH7kBCGdNKj3r5VkNTffhPv4ccfQaHA65NZtdPOnOV5VI9SM2lkCC0bVIEQyTJYLEKYWQoqKsjdfMDB5wuy6dzcwENjw4oJXs8ne/hiQQ4nL3pweWRCzQqmToykfRmhtCcvuHl3dhYJqT4UQFiwErdXxpFvvqjTgrucg7lGBUaDkjF9TAQZlZw872bXMTfhwUp6tDbSo42BRrW0JZIap1vi8Fk3+0+6SM7wkWXxk53nJ9viR6GA8GBVPjnK/1twPViFTqvA7ZFxe2XcHglX4XVxcRVel3B7ZVweGY9HJsfqJznTh1ajoEaUhurRaqpHqakerRF/o9SEmAQJ83q9/L54FbUa9yY+sYD8uHG6RThubKQapUJBSqaPExfcuCsu8ymE0QDtGhm4c5iwIPhljYXVO+1kW0RZTq9V0LaRjga1NBw87eHMJQ+dmunp0z6Izs31ZQYVJ6Z7WbrFxqqddmIj1YSalBw756ZFfR23DihHk4jYPhastXL4jItJI0MZ2k3ogM5c8jBraS6Hz7rRaRXERakZ2cPET8st1KqmZvL4cKLCRHVQlmU27Xfw1W9ioqxLCz3f/pFLv45B3HdDaImVK5tD4q0fM8mxSrx2fyRen8wzn6czrJuJO4YGF34314oIZeb6uOu1FO69MZRN+xx8+lRgNDg3v5DER09GV25aOB9rdtnZsM/O2w8XrcL7/TKjnknkx2mx/5gtS3moFBHKP2mvKD79JZs9J5zUr67htfsr2SJ7/XWhR+3TB/gfJEJDhw4lJSWFb7/9Fq/Xy6RJk+jYsSPz5s0r9Tl9+vShUaNGvH7FdI/RaKxYinw+yvwgDxwQWqGUFNFSiogAux3Gjav0+yvXnNHpFPqaDz+EmjVFq2n4cOxzf8T0nnhdAWPmc+cWDY19+GFhUhaIs3evVxC7v/4SAXlHj4r7Fy6Em2666sXKsshpmrUsjxyLn9uHhTCoUxAqvxfWrBGVoVqXR9E9XmEcOG9VHvVraJk0IqRYdECgUJkdep7Nz9e/5bD/lJunJoQXc38ueJ9f/55DcoYPjxea1Nbwyr2RVIsofdlH4l28NTOL9Bw/SiUYdSAj3KihPP3QZaiUYDIqRB5XiIosq5/9J90oFdC9tYEerY00qaMt8+Bd8D4sdolsi5+sPEGOsizSFdf9eDwyOq0CvVaBTqtAp8n/q1Wi0xS/X69VoNUoCDGp8is7lytOfr9MZp6ftGwf6dnib3yil5MX3WTkeKkTpyUuUoNRr8DlkUlI9XIx1XdVGZQaNdSvrmFMX2FgmJXnY+4KC5sPiDYjCMFzp+YG6sSpOXDSzcmLHjo01dOnvVGYLJYxJu7zi9H3pVtsnLwgfHtcHiHU7tveyE39g8v00/J4BXH5Y5OV9GwfI3qYuKl/MCaDkvhEMZiw76RocRp1Cm7uH8zZRA9bDzl59OYw+nUwFn6uSRlePl+QQ1KGj4fHhrLnhIvNBxxMuSOCTs1LJugXUry8/G0GzevpeHJcGMmZPp77IoOb+5u5ZcDlfey1JEKzluWSmuUnPcfHoM5BDAnQpNINzyTy/YsxV0VY4hM9vPRNBr+8Wbzy8+zn6QzrFkTfSk6jXStUiggtWiSOWR07VmjZTpfEvW+l4HBLPHFrOH3aV+I9v/IKzJsHhw6B0fi/RYROnDhBs2bN2LNnDx06dABg5cqVDBs2jMTEROLi4kp8Xp8+fWjTpg2ffvrpVa+73A8yK0s4Za5eLcbFc3PFKHzNmle1vnLNGTdvFh5AbtHysE+bgkn1HhAgIpSbK9pxK1aIUMECvPcePPdc1ZZdEhISxLo2bBAi8Sr6ZMiyzO7jomVmc0rcOUzoL0oTQbo8Eks22Zi/xkLzejomjQgJeLTE1ezQdxxx8skv2bSsr+OuESHFzjAlSWbzQSdfL8whxypaXkO7BvHEuPBStSMA2w87eG92FlaHMN9TKSE8REV2nvAgqgx0GvD6IDpMRcPaGhQoOJ/kISnDT6hZSWykmthINXEFlyhRYQkPDnxLzOWRCglOWuFfcT0920dGrh+DTkFUqAqzUYVaLXi93eHnQrITt+/qD7QKICZCyYBOJsb2MxMcpOJ0gps5y/PYf0pUl0B4/fRsYyAuUs2+/LZhuyZ6+rQz0rWloVCQXBrSs338tc3G8u12go0K6lbXkprl41Kaj1E9TdzYx1ymC3hGjo+lW238tdVGXJSaG3ub6dXWiEat4EKKl5l/5rLnuAu1CuKi1dzUN5iMXB+LNlhp3UjPYzeHFQqdPV6ZBWst/LrGwpi+Zrq2NPD+nGyqhat47s4IwkqJytl8wMFHP2czcUQIN/Y2ceaSl+e/TGfSyBBG9ixqQnitiJDXJzPupSQmjwvn3dlZLHy7esX8iSqAwY8n8Ovb1a9KF+fxygyffInFH9Qoti3MWpaLzSHx6C0VHy6pEA4cEMetSoaEV4oIrVolugD791d4OObIWRcvfJ2BRgU/vhxXbvRSIaZNE9rdZ5+F99//3yJCM2fO5OmnnyYnJ6fwPp/Ph16vZ+HChYwePbrE5/Xp04djx44hyzIxMTGMHDmSadOmYSzDsNDtduN2X541tlgs1KxZk8zMzNI/SLcbhg6FffvE7V69hBamkr45VyI508fCdXY27HPSs42eW/qbqBkuCzIye7aYkgLsGpmwp0T0dPoT6YF1lr5wQRCU9evFqP3HH1epalMuZDlgnkayLLPrmJvZy614fDK3DzHTq42+1BF0h0ti8WY7v2+w07aRjjuHmko0ersaeL1e1qxZw8CBAyu1Q7c5JOavtfHXNgedmukYP8hU7Ezf55dZucPBjD+tON0yajXcf6OZkT2KO/UWQJJk1u5xMnOplRyrKHkYdAo8XhmDToHNeXW7BJVSTLDHRKhoUFNDRIgCrw8cLlH9ycr1k5otid9jhJrYSBWxEUKTI4lBPyQJJFm+4nr+/bKMJBVcF+/BYpdJz/GTnu3H4pAIDxbC5WrhKiJClGjUCnw+sLkkMnJ9XEjykWURBLCoWFymIK6ioggzQ5uGesb0DaJhTQ0uj8zqXU5W7XRwIcVXuPyIYCW92uqJCFFx4LSbo/EeWjfU0autnm4t9eWSH0mS2XfSzbJtDg6edtOghgZJhvgkH20baenb3kCXFnr02pJfvyzLHI33sGSLg70n3PRso2dUT/GaAS6l+fjxLwu7j7lRAM3qaRnZw8ipix6Wb3fSor6WW/qbaF7v8snBwdNuvliYR2SIikduCubAaQ8/Lbdy1zAzo3oaS9zu/JLM7OVWVu10MnViKC0b6Dh2zsMr32fz4JhgBnQsvk++2t9Nediwz8kfm+x0bKojPcfP0xNCA7JcvyQzbHIqf34Qg66U76M83Pd2BpPHh9Cs7hUnY1lZ7E038dNfVr54ppI+R+Vh/XphsDtjRqWeZvfYCftQkKdyjzv794sBnMGDRQZYBY+LPyyxsGG/k2Z1NEydVEEC+PrrQlOrVML69Vjq1ycyMvJ/gwi9/fbb/PTTT5w6darI/dHR0bz22ms89NBDJT7vu+++o3bt2sTFxXH48GGmTJlCp06dWLRoUanrevXVV3nttdeK3T9v3rwyCdS1gt2t5sCFaI4kRlArwkrHemlEB19OX3T5XYw7Ilpx81vOR6/678vc+k9CliE+PYSdZ4VRWcd6aTSollNoNvh3uL0q9l+I4mBCFPWiLHSun0JoUCUVsQGG06PiwMVoDidEUjPCSqd6aURdsQ0AeP0K9p2PZs+5GCRZgVHrpX+zS9SNtpTJLfMcGtYdq0VitjmfDsho1RJenxKlUsYnFXxQRUKuKgEZlVJGlhRIKFAr/ejUfrQaCbVCBoWMUimjU/vRq/2YjV6UCjk/Skv8VSDjkxX4/Ur8khKfpMTnVxTSF1kGt0+F3aXG4dHg9qqQuPJ1V51cB2k91Imy0K5OOuEmDy6vkuNJ4ZxICifHYcAviXWolDJRZgf1onLxy0oSs82k5QVRPdxGo5gc6kXnodeUrVKXZciwGjibFsrJ5DBkWYFB5yPXriMq2EmT2GwaVMvFoC19OV6fklMpYRxKiMLtU9GqZgbNa2QVPifXrmXr6eqczxAHh7pReTSrns2FzGBOJodTv1oe7eukEWl2FS7T7laz9VR1ErLM9GycRM1wK2uP1cLq0jKk1YUij70SLq+KlYfr4PKoGN72PGa9l4QsE8sP1qV/8wQaxuRV6ruoKn7d1ZCWNTLZcTaWwa0uUj3MHpDlenxKpq9rzeODDlz1+dzyQ3WoGW6lZc2sIve7vUq+39CSB/odQaO+in5tgPFPHHd8fgXzdjTG4dYwoEUCDapVfjtxOBxMmDChXCL0H1VePf/887z33ntlPubEiRNXvfz777+/8HrLli2JjY2lf//+xMfHU79+/RKf88ILL/DUU08V3i6oCA0aNKhsbZEsi7HtWbPgzz/F7Y0bA2KJfjPCnPHPLXaWbIqgQU014waaaFlfi8NpgSPicf169SQ05BrHZvxL8agks+WQi1/Xmtl/SeaGXkaGdjWWeEY+GsizSSxcH8LCbRH0aqNnwmDTVefgBOLMdixiG1iyyc4fm8NpWV/LbYPNhWf2ADfkP2bGnxZW7XSy9GB99Bro2UbPncPNRIeV/PrH3wQen5zvHO0kMy9/RyuL1HqvD2RZkZ9/VVkoilRffJIan0eNvRRuqUAUBRWKy9WfqqEiR6SiZEmngdhINZ1b6Lihp5GIEDV5Nj8rdznYtDeGhHQ/3vw2okYNtWPUdGimI9io4Nh5L4fOqLiQG0LbxjoG9tLSuqGO4KDyKz+nE7xsOeRi60EndpdMeLAKCT/RESr6tjfQt52B6PCyWwQpmT6WbnWwapeDBjU0PHJrEJ2b61CphFtwapaPb/+wsOuYmIIb0MlAj9Z61u81su5YOAM7G3j27iCqhdcAmhe+tuXbHSz4y0rvtgamPWhi4/5wfl1rp3c7PfeOCkanLdm9+UKyl1dn5NCyvpbHbg5BoajPb+vtrDlm46W7Q+nUvHQJwbWoCJ255MWxLZte3WtyLM3CvRN6Vb1Nm5sLmzaR228EM7dkMHz4sKtflEpUaYcNyx++uHhR2I0cOcKqE1rqNO1L64YB1DLu3CkqNaGh4npsbLlPAVERKjzu9OtXdkUoN/eyW7VSKY6PPXtWaD3N2np5+rMstp6tz8Rbosv9HfHyy8L4FqBPHyxjx1ZoPf/RilBGRgZZWVllPqZevXrMnTv3qlpjf4fdbsdkMrFy5UoGDx5coedUtMdYBFlZQnC8c6eYVgqgSeHfzRlH91cxYKmYMvi3h67+E5BlmUNn3Py61sKReDfDupkY09dcKsnJzvMzb1UeK3faGdgpiNuGBJfopVMWAq11sDslFm+y8tt6K01qa7ljWEgxU73MXB8//JnL+j3C/NHnFzqWsX2DGdXLXMS99u9wuSX+3GLlzy02kjNEBUGhoLCKVjDNVd74/b8Bei2YtQ76do5icFczdWI1KBQKsvJ8LN9uY9N+B5dSfYX+QBoV1IzR0LO1gVCzkpMXvew/6cLjk2nXWPgmtW+iL5bZVhL8kszReDdbDjjYctCJX5KJClOTkeNDo1bQv2MQ/TsaiwXi/h2ifebij41Wjpx1M6BTEDf0Nhdpo6ZlC1HzrmMu1EoY2ctE20Z6lm6xceKChxt6mRjdx1xMi3H2kvAE8vrEWP3ZRA/zVltoUEPLxOEhNC3FzBFg434HH/+cxT2jQhnVy8TReDcf/5JDqEnJ5PHh5baeA/q7OXMGgoN5b5WaiBAlF1N9NKmt5bYhZedHVggvvgh6PamPvMhD76Xyx/uVy1a8ElsPOli0wcrHk/On2JYtE1Ovzz3HJ62nEB2uCsxrLsDu3dC5s7g+eLDQa1aAGFZKIyRJwrFclgXhatdOTPNWUJc0Z3keizdZaddEx9RJ5Zzov/OO0CE9+CDMmYNl1Kj/HY1QgVh67969tG/fHoDVq1czZMiQMsXSf8e2bdvo0aMHhw4dolWrVhV6zlURoQLIstDyXAMPjAJzxtmrUpmvaAhA5uRsIoIrJ3r7/4yENC+/rxMhuV1aGLi5v7nUybGMHB9zV1pYt8fOsG4mxg8OLlUQ+ndcK9Gn0yWxZIuNhWst1Kuu5c5hwcWsAJIzfazeaWPlDjtZFj9+v/CyadVQy90jQ2lRv2yS7vHKrNxhY/EmK5fSfEWqO2qV2Gd6fZdJkiSVHJj+n4ZCASa9GANv39RAvw5G6sZpCr1q2nUexJrdLrYecpKY7iskeWoV1Kympnc7IzHhas4kegutAFo20NE+n/jUq66pUIyLzy+I+Ob9DrYedqBVK4iJUJOV58dil+jTzkj/jkaa19OVuzybU2L1TjuLN1kBuLG3mUFdgooEFKdne/l4Xg57T7jQaRXc3N9M7VgNizZYScv2c3N/MyO6m4qJhR0uiR+X5bFqh43bhwSjViv4ZbWV2jFqJo4ILdMw0C/JzPgzj9U7bbxybyR14rR890cOWw46eWBMKEO6lKBfczrFmPUVNhQB+90cOADjx7Nt/l4++DmXWwaYWbHdzvTnY8oMc64QCrLM7riDC698wfNfpjP/rav3+0nK8PLI+2n88X518Rm9956wFgkNZfXis2w85i82Xl8lHDwoKk4F+PprYdFSDirtI9S0qag2HTokPN50Fa9q+f0yD7+fSlKGj6mTIotN0v7twaLqVKMG9OqF5dtv/3eIEIjx+bS0NL755pvC8fkOHToUjs8nJSXRv39/Zs+eTadOnYiPj2fevHkMGzaMiIgIDh8+zOTJk6lRo0Yxb6GyUCUi9A/A4rIR8p6YtrjFd5rbBsaUbM54HaUi1+pn6RZxsK9RTcMt/c10aWkocdIsJdPH7OV5bD3o4IbeZm4ZIKaEysK1HAMGMTG1bKuNBWus1IxWc8ewENo0KuofI8sy55O9rN3jYPk2GzaHhCSDQQdDugRxx7AQQs3lVzHcHomthxys3W3n5AUPFofM3/cgBe0tSb5cSZLlywRJlimMOSsLBS+/MnsotRKCjApiwtU0raulb/sgmtfTorxCoJmR62PHESc7jzg5e8lDVp4POV9TpFJCjWpq+nUwUiNaQ0KqMJI8edFN/Rpa2udXfZrX01X4N+bxyuw/6WLzQQfbDzsJNimpHqkmx+InIc1Ht1YGBnQMon1TfZmVugJcSPGyZJOVtbvttGygY3QfM+2bXB4EkCSZXcdczFqWy9lEL0EGJbcNNhNsUrFwrVUYIw4MZkCnoGLrc3kkVu6wM2+VhaZ1tDSurWXJJhuxkWomjQgpDFwtDSfOu/nqtxxkGV65L4IjZz18/XsOHZroeWhsWPHpH7cbfvhBjFivWiUqB/kIyO9m40YYNYr4gbfxVN2p3D0yhBl/5vLJ5GqBmQ594gn4/HMYOZLTX/7GWz9m8tMrFTsxLwmSJDPi6UTmvBonJgDvvFNEFAFJH83gkZRBLHqvetWzEwtw/LgI+wZh1nvrrWKd5fjGVZoIXbgA8fHChPjXX0VCQyVwMcXLQ++lotMqmPNqXKmhwoW47z74/XcsZ88SEhHxv0OEsrOzefTRR4sYKn7++eeFhooXLlygbt26bNiwgT59+nDp0iVuv/12jh49it1up2bNmowePZqXXnopcD5C/wW4coNcPyqVPzdStjnjdZQKj1dm7W47C9db8flkbupnZnDXoBIT7BPSvMz+K4/dx5zc0MvMyJ6mUr1DrjURuvL1L99u45dVFsKCVfRsY6BbK0Nhu6cAsixz5pKXpVusrNvjwOURu4Bq4Sq6t9LTvXUQLerrKnRQBnHwvJDs5Wi8i6PxHs4ne8nM8+PyFCdJVwtlPqHS6xSEmJRUC9dQN05No1paGtXSERelLpaHZnP42XvSxe5jLk6cd5OW48flvvyClEowGRSE6PIYO6gGUWFakjN87D/l5tAZF+HBqsJ2V9vGeszl7Xz/9pnsOS48dXYecVItXEWtWA15VokTFzy0aqhjQMcgurcq2zOoAH5JZsdhJ4s3WTmd4GFoNxOjepmKuCFn5fn5c7OVxZts2F0S0WEq7hgajMMls3C9lTCzivGDguneujjJz7P5WbxJnAzUr66hfg0tm/dYiPRkMcm3gbbvPYzCUPqZeHKmjxlLctl/ysUdQ0Po0FTPV78Jr6vJ48Np9/fsLa9XTL++/rqw0Fi2DIYP/9tDqvi7WbwYxo0jR2ni4Xu3MHpUHIs22LhnVGhA4hu4eFHEEnk80L49h+dv5cuFOXz3QsV0NqXh4fdTmTQiRDjMt28vpq4AuUEDbhqzgY+frHY5KLequHgRjhwRDvnHjgmyEujWWAEkSVTPmjUTHnKVxMJ1FuauyKNbSwNT7ipneu6PP2DMGCwrVxIyZMj/DhH6T+HfRIQKNshj59zMW2XhaLy7ZHPG6ygTBV5Ev62zcuaSh5E9TdzYu2SPlvPJHn5bZ2XjfgftGusZ1ctU5Owc/jkiVACPV2bPcSfbDjvZccRJkEFJ91YGurc20LyershBUJZlTpx3M3elhb0nXPilyxUYow5qRKtpUV9Pl5YGWjXQX3WlUZZlcq1+0rL9ZFv9qBSK/P2tXOzs1qhTEBmqJtSsqtD63B7hXr3vhJOj5zxcSvdid8hFhNY6jYKoMBXN6mrp0kJPcJCKS2k+Tl5wse94FrkOI9XC1TSuraV9PvGpiM7nSjhcEjuPOtl8wMHu4y5qVVNTK0aDyy2z/5SLunEa+ncMok87Y4V9UXKtflbssLNks5UgvZLRvYLoH5aM4fgh0Onwj7qBvSdc/LHByv5TYmqrcW0hpD9zyceijVYa1NAyfnAwbRsVd5kWNh0W1uyy06m5njpSBqsP+QnJTWHipjfp4DmFYs+eImakV8LqkJi7Io/l22yM7GnilgHBgoyvtjC6j5nbh4QU/Q79fjFC/eqrl33KBgwQPmx/e21V+t3MmAH3348HNU+P+oVG/ZuTIIVRI1rNE+MC5MVzzz0iXgcgNpY9a+OZs8LC509XzaX6gzlZ1InTcHNfEwwZItqGycnwySdMO9eGrh3DGdY9MAaQhZg1S6QX7N9ftFVWCq46YuOVV4TPT0ICVK9cC1GSZJ74OI1zSV5evS+yWBRREVitEBGB5bHHCPn44//uqbHruDZoXk/HWw9FFZoz3v5ycsnmjNdRIhQKBZ2bG+jc3EB8ooff1lu589VkerU1cnN/M/WqXy6p143T8uwdETwwJpRVO+188WsOkgyjepoY3CXoP0JAtRoF3Vsb6d7aiF+SOXbOzbZDTj6Yk43NKdGlhYHurQx0aKZHr1XSrJ6etx/WI0kyx8972LDPzsHTLhLTfZxJ9HE20caijTZARHLERqhp1UBHt1ZGWjXUlVgx+zsUCgVhwWrCgiu+/cmyjN0pkZHrJznDS0qmj0vpXlKz/GTm+sjKk7A5pCK6JYUCQkxKWjXU0rm5gRb1NfglBeeSvJxO8HA6wcP6vQ5iItQ0rKWlfnU1Qf4kbhvbg7CQyk/j5Nn8gvzstbL/tIfaERAVY6R+dQ1nLnnRapR0aSHaQhVND7c7Rftx/V4HR0476WRM5YWctbQ6tBTF24fB6SSjz0hWPv4Df05NFhEjHpmebYwM7x7ErmMu3voxm47NDLz3aDSNahVvAZ1O8LBgjYVdx5wM6mxk4jAzfy46T3J6Eo/u+ZjOCRtQaDTCZ6YEEuT1ySzZbGXuCgsdm+n5fmosWXl+nv4sHZNByRfPxJTsbp2QIDzJCkiQQiF8XwJpsJmYCAcOIGs0fNz9bYy4MVSPwnHGw0NjA6ShzM0VwdFNm4rgaquVtEwPIeVNNVUAdatriE/0ijOSFSuEGDu//dZ8rZVj59yBJ0KjRom25O+/V4gIXTUmThRVwDlzKh2rpFQquHNYCB/Py+ajn7OZ8VJs6T5cZrPw81u1qkLLvl4RKgf/xorQ35GU4eXXNUIU3LudkXGDgq8qC+f/MzJzfSzeZGPZVhsNa2q5ZYCZDk2Lp9hLksyB027+3Gxl7wkXvdoaGdZVT/yxtQwfXokzW78/cPlu+ZBlmYupPrYfcrDtsJPzyV7aNdHTvZWBLi0NxcTfsiyTY5VISPVyLsnDwTNuTl/0kG3xF5kYUyhEm0mtAo1SgUqtQKMS02VajRK9VlEY12DUKwnSKzEZFfhlyMnzk2P1k2ORyLNLOFwiU8zvL310XqkErVqByagkLlJUcZrV1VJLY8WWbeesxcDpLDVnEv0kpHmJjRQttIY1tTSqpaVBTW2hSLayVQePV+bIDyvZt+US+zUNOKevSZ3cs5iceaRGNcAREk3Hlka6tDDQoam+wkTY45XZedTJ+r12dh9z0bSuln4dguhVz4v59ptg/Xr8CiV7avZhSe8n2B/aBpNBicMtMaK7iW6tjKzdbWfjfgf9OwZxywAzNaKLvp+CbMMFayycS/JyQ28TUaEqFq6zolYpmBhymG5TxqBwiElDfvhBVD3+tozNB5x8vySXyBAVD44JpUa0hu+X5LJpvwhiHdo1qHQNi90ON9wgCBaIYOcffijxoVWqCP3+O/PfXMPKtndxp2M1X9W+h+lTri76okzExgoz3Sef5MVNUXRra2ZEj6qRlP0nXXy3OJdvno8Rd0yfLmKOUlM5agvlw7lZzKqCDqlUDBoEly5BBSxrqhS62revqHCdPFlpAuzxyoyZkkir+jrqVNdy/41lrPfjj7E8/TQhcL0i9K+CzQZlhMheLapHaZg8IZw7h4fw2zoLj7yXQpvGBvp3LD/UsUqwWOCfII9Wq/jcrlGSOUBkqJp7B2q5bVAMq77Zxmc/10Vn0HBTfzP9OwQVlv+VSkXhJFFGjohEeG1GDmoaowp3MLCLufwKiiQJq/hJk6Bhw4C9B4VCQZ1YDXViQ5gwJITMXB87Pl/Opn2d+HxBDg1raWleV5ufyq4mLkpNVJiKNo30tGmkZ0zfy8uyOSTikzzsOe7k7CUvqdk+8mwSfr+MxyvjckOeXUKW/WKSTJJAoUAuxddHgahkGfQK4iJFAGtclJraMRpqVNMQHaYiMlSNUiHcpDNy/MJVOsdHapaP2cstXEr1EJeTQKO0wzTMOMKQvFM0uLEbQU9Pu+rflSTJnM2fFNt30sXReDfVgpsT5bahcllQa33IMjSvLnP3E41p2shUapzL3+H3i5bZ+r0Oth50UDNGQ/8ORh67JVy0YbOzYcoU0veeZnmHJ/mz+R34dAY8uiAa1dIyooeJamFq/thk5eXvMhjZw8TsApHtFfD5ZTbuc7BgrQWHS+bm/iaGdjMxb5UFWYZJ/bX0+PRhlL8thK5dRbVm/PhiJOjYOTfTf8/BYpd4aEwoXVvq2XzAyUvfZNC2sZ6Z02IJDy6D+NlsgjTs2CHsRX75Bd54o9LfSbmw29n27m8s6PAi0x6vzeszYnh5UmTgSVBKCqSmQrt2OBq14MCMJJ65q4x2TQVRt7qGCyle/JIstqU6dcR/XLhAo3adSMnykWfzB77aPHasGDs/cUJUuq4VJk2Cu+4S20G3bpV6qlajoENTPVGhKrYfcpRNhIYNg6efrtByrxOhimLuXDFWeK0OthkZQkQ2frwwhYoMsJU6EBGi4oHhRiY824PV3e5nUdpI3p+jEUnX7Yx0bmEIHCmSZcH8w8PhtdcqvcFXChMmiFL1229fNupKTYWYmMCuZ/JkDPv3c2N0NCPPX2T79DUs3G7nhyW53NjbzKiepiI7p6gwMWp86wAjX/0Uz4Z9oXy/xMKgLiZG9SwjwuOtt+DTT+Gnn8SZc+PGgX0f+Yhc+Rsj37yTkc2b4/jxZ/bKdTib6OHAaRd/bfWRlOHF7RVxGNWjLueFxeUnuDerq6N1wwp4ZG3bBr17iyqX2Sy2h0cfRVKp8UtCCKxVC8PGzFyRE5aRIzLCEtJ87DvpIj1bkB6HWyYyREV0uCBp1cJUNKurY0QPEw3clzC2GyLEq23bwtzPoUePSn8uqVlinftOuNh/yoVWDfVraNFpFcRGqknN8lLDY6d3/Go6p20n6qNXRcm/AihoP67ba2fTPgchZhX9Oxj55oWYIsJnv19m5zkVf1iGceS2F9H4PejwcuOQKLq3M3PsnGjZ5lj8jO5j5tnbI4pN0jhdEsu324RQ2qRiwuBg1CoFc5bn4fHK3DU8hN7tjCglP6SmwAcfwOTJ8O67MGVK4XKSM338sDiXg6dd3Dk8hBE9TGTm+pk6PZOENB9T7owoW69RAL1ejDUvWCAOuoMHi6DqACM+xc/7HV9jaj8r05fauWVICWLtQECjEePt/fuz57iLhrW0ZRPBCiLMrMKoU5CS6RNVvVathD9ObCxajYKGNbUcP+8pe4z8anDjjaJ1aTaX+9AqYexYYWlQ7eq0VF1bGli720FG/r6iVKPbxo1F5tgHH5S7zOutsXJQ2BoDggcPhu+/v+pA1TKRnS0I0DffQFCQ6As//jiUMakBV1GidDhET/6jj8BiIePWe9lyw7NsSgrmTKKHTs309G4rSvtVCiL0+URi/bvvCq+NQYPEAbBLl6tfZkmQZVFaf+01SEoSZwFvvSV2HHfcASNGBG5d8+eLA0RCgrjdqhWsX88Ji4mF66zsPu5kQMcghnYTZ+wFbbMrS/zJmbB0i5XVu+w0rKVlVE8z3VsbLk88eTyiXfDzz+J2TIzIe2vSJHDvowC//SZ25G63IPivvy7aFlfAYveTlOEjueCS6SMpQ5CkPKtEdLiKuEg1wUEqpPxdiSxfMS4vg+z1Ip88hRwZCRGRyCrV5f9DaGLSsv1kW/yYjSIv7DLRURMdriI6TE10mKgUqVSlnIzIMkydCvXrC2JSgdai1+tl0ZJVRNXuxaGzggDlWf00r6cj1KzC4vBz7JwHk0Fofbq0MNC6oR7tiSPis1q0qFxNhSzLnEvysm6PnfX7HCiAfh2C6NfBSL3qRSf6UrN8LNtqY+kWKz6/0OJ0a2VguOoIdOrEyt0udhxx0q6xnqHdgujc3FBsWi7b4uePjVaWbrHRpI6WWweYcXtkfvrLgt0lgoj7dvhbELEkXc6Ays/8s9j9/LzSIoTQvcxMGByMXqvgt/VWfl6Zxw29zNwxNBhdBTRiV4OraY1lW/w8/H4qtw0O5vh5D1aHxOv3RwZu3LwUvPVjZn7LPDAV8Kc/S+OGXiIU9+/4ZlEOapWCe28IDci6rgZVao1VEblWP+NfSqZ1Qx092xoZXoZe6n8qdPU/icIP8uOPCX75ZXHA+PBD4VNwLapDp04JEdnixYJwvfUW3HZbqUF1V71B5ubCJ5+Ii80GEyaQ+dTLbM6LZdMBB2cSPHRoqqd3fjL2VY/hOxyC3L33HqSni9L4a69Bx46i9z1hQhETtauG0wlffSUIUHa2IJMej/CsuPHGqi8fxHdzxx2wZ8/l+9q3h7VrITSU1Cwff2y0sn6vA60aercz0qd9EHViYMWKFUV26E63xPq9DpZstpJjkRjePYjh3U1EGf3ibGn/fhHiu2+fcCpftUpUDP+L4HBJpOQTI7tTAsUVERmIK1dGZnDF/ykUl//fqFdQLZ/4VLkiWQFtlccrBOT7T7rYc8JJfKKbpnV01K+hQ5LhXJKHM5e8NK+npUsLA51bGKgZrS6qB0tLExWBMtK0k9K9rN/rYP1eOxa7RO92Rvp1EL5GVy7L55fZccTBr2utnLroQaFApMP3MtGygZ4tB52s3GFDo1YwtJuJQZ2DSpxgTEz3snCt0AL2aC0MQnOsErOW5ZFrk7hzWDADOgaVTiSv+HyWbLby80oLnZrpuXtUKDERak6cd/PxL9notQqemhBeruN1VXE1+q2nP0ujcW0dtWPULFhr5ZspMeV7zlT1dfqEbuWb54tW9aqCLxfmYDYquWt48X3jlnz36U8mV206rSr4TxIhgMc+TKV2rAa7U+aVe0vvnlwnQgFCkQ8yJ0cQoDVroH9/UYko6N8GGlu2wDPPCAv0tm1Fea9//2IPq/IGmZ0tqkOffSbIxJ13wrRpZIbXYsv2LDYdcnM6TUH7pqJ9dtWkyG4XrqXvvw+ZmcIzJCtL+ImsWhW4Enle3mUdAohJiPnzRTm2qnA6BUHZsUPEp+zYIUR/XbqI8d/8krKUP6m1ab+DTQecaNUQF5zMpLHNaVrXUMzT5+QFD0s229h80EGHJnoGdg6ibSP95R24yyVafddqW/sfh8MlcSbBw4kLou135KybmAiVaHdpZE6eTSHHGQ4K6NzcQJcWBto3KT8ZviRk5vrYsE9MfCWme+nR2ki/DkbaNdYXIyApmYI4L99uw+eXUasUDOoSxJAuJpIzvCzfbufYOTe92hoZ2i2IlvWLj7+DMDGcv8bC/pMuhnUXdhmJGT5mLcsjI8fHHUNDGNQlqFjl6O+QZZlNB5x8vziX6DAhhG5cW4fNKTHjz1w27HVwz6gQhnc3XfMKC1SOCMmyzLs/ZZGXT/ie/yojcKaJ5WDPcSffLsrlh5eq5h90Jf7aZmPPcSev3lc8UiI7z89tLyez9OMa5X6n1wr/aSL0y2oLJy+4OXjazaL3qxetbl68CFotxMZeJyjLwlsAAJHxSURBVEKBQrEPUpaFd8RTT4mzz/feE9qhUio2VYIsi4rGCy/A+fPiAP/++9Cihfj/zEzswYbAbJAZGYJsffmlqKRMmiQqURMnkrVkHVtyo9m038Gpix7aN7lcKar0wcJmE5WbDz4QRAhEMO2aNRUO/CsT69eL9sihQ4K4gKgQzJsHt9xS9eVfCVkWo7o7dojqQAmZd5Ikc+i0g9mLT3ApNwadVikqRe2MNKxZtC2SZ/OzcoedrYccnE7w0LCmtjC7qlndihsc/n+GxytzLsnDqYseTuZfktK91IxWUy1CjU6rxGLzczrBg1GvpEV9DThPM25UO+rXMFzVAd5i97P5gJj4OnnBQ6fm+vxBBEMxHySrQ2LTfjtLNtm4kOIFoEV9HTf1MxEZqmbNLjtr9zioHqVmaDcTfduXHAwsSTK7j7mYv8bCpXQvY/uYGdLNxMHTInMsPdvPbUOCGdrNVKHt5mi8m28W5WB1SNw/OpRu+fqTLQedfPFrDq0a6HjkpjDCS6hEXStUhgjNW5XHml123nooiqc+TefuUaEMCoRpYgXwyS/ZhJmVTBwRGrBlnjjv5p2fspj9asnTYbe9nMy0uyNKjQS61qg0EfL5xP44QPqjCyleJn+ShkEL0+6JKpp5t3YtLF0Kn312nQgFCqV+kImJ8MADwiGzd29RHWrQQLR/oqIC2zZzu0U15Y03RMXj7ruFnuPmm7H/8DWmBa2BADHztDRB7qZPF+uVZYiLExtX06Zk5/nZctDBpv0OTl700K6J0BR1bWWoeG7PuXPCyn3v3sv31a8P69ZdTimuKnw+0crat09UcQ4dEhMEgdQMVRAFO/QhQ4Zy6pLEpv0ONh9wotUo6NPOSO8SSJHNKXHojBDs7jvpIjPXT+uGukJi9He36P+P8Esyl9J8nLro5uQFQXrOJXmIClNTv4aGkCAlHq9McqaP0wleqoWraNlAR6sGelo10FEtXFWYNVbZEe1C/6ADTvafdNG6oY5++U7RfycuTrfEjiNOlm21ceSsG6UCQs0qRvUy0budkf0nXazYbic128fATkJjVlrbyeuTWb/XzoI1Vnx+mVsGBNO+iZ5VO4W1Q3S4mht7m+nTzlghM8qkDC/fL87l8Bk3dw0PYXgPE2qVgrRsH58vyOF8socnxoXTuXmAhbkVQEWJ0NaDDj6al83nT0fz+YJcqkepeXJ8gEwTy4Ekydw6NZm3H46iYc3AVZ9sTokbn0lk1Rc1S5xCfGdWJo1qaRnbL0BTufm6sIqi0kQoO1voRd9/vwov8jJkWeb2V1KoF6ehUS0RPF2IH38UxYn4eCxm83UiFAiUyShlWRhDPfGEIA1vvy1Kcjk5oioRaOTkCM3QF1+Ilo/Xi71GNKa7ksR/B7JEuXWryJ7xirNWoqJE+6cglwYhTNx60MGmAw5OnPfQtrGoFHVraSi7L5+dLYjJ4cPC3v3wYTh6VLTH1q0TtvXXApX8sQcKJe3QJUnm6Dk3G/eJ5HGdVkHvtkb6tDfSoEZxkpOe7WPfKRf7T4qLUqmgXWMd7ZuKNk5JmpH/JciyTFq2n5MXPZy64ObURQ+nEjwYdAoa19ZRJ1ZEbORa/ZxK8HI+2UOdWA0t80lPywa6EkNyK1N1SEz3sv2wcOw+ddFDqwY6urc20Lttcador0+4e6/eZWfHESdqlQJJgr4dDNzQy4zTJbFih52th5y0rK9jaDcT3VoZSq3e5FpFtXDRRivRYSpuzc+4W7LZxs5jTnq1MXJDbxNNK1ghsNj9zF1hYcV2G6N6mRk/OBiTQYnNIbFoo5WF6yyM7GHijmEh185eoxxU5LuJT/Qw+ZM03nggin2nXOw94eLTydX+sazF4+fdvDEjk3lvxAX0xMTmlLjx2UTWfFGzxOX+udnKgdPuMvUxFYYkCfnAhAkVfkqlidDFi6JQcORIwAY/vlyYQ3qOj1yrVNTN+/XXhYP1I49gefvtChGh6+PzVYFCITQ1AwcKBjp5MhiNQiDctCmMGRPY9YWFCaH2/feLseCMDEhMCuw6QLT8tm8Xk16HDwuTrYwMMQ6/YkXh5Fd4sIpRvcyM6mUmxypI0eqdNj6Zl03bxjp6tzPSvZWxOCkKDxfL6tu36DrPnRMVtWtFhP6LKihKpSK/MqHnkZtljsYLTdELX6Wj1ykLK0UFpCg6XM3QriaGdjUhSSJAde8JF+v22Pn0l2xiI9W0byJysVo31P3HDl5VhSTJZOX5ScnykZovxD6dIFpdXr9M41rCFLF3eyM92hg4n+zlyFk3+066aFxbS6v6Ou4ZZaRZXd1VaXyuhF+SOXHew/YjTnYcdpCV56dLCwOje5vo2Kx45ccviWT5dXvsbNznQK0Cp1umWT0dN/Yy0aiWlo37HLw5MwtJkhnSzcSP00JL9beRJJmDp90s2yrITqdmep67I5zULB8/Lbdgc0iM6mni8VtLCDMtBVcKoTs31/PDS7FUC1djsfuZtSyXRRustGui5/Onq11zMXRVkZ3nZ+r0DB4YE4bDLfPXVhvTp8T8o4HTWw866NHGGPDqrMstYdAqLi/39Oki+8Xm9XTMWWFBluWqrzs9XZy433STOJG/FrDZRJX+8ceFJjQAn1e3lgY+X5BNSpYPm1O63JG4dEn8/f57cVyuAK4ToUAgNlaMIt9ww+UwuTvugLp1r41d+apVgkxkZBS9PyUFGoRWffkqFTz3nLiAqEQdPiwuv/4q2ld/0/OEmVWM7GlmZE8zuVY/Ww85Wbvbwae/5NCmUT4pam0sPbhSpRLmgQE0EPy3QKVU0LqhntYN9TxycxhH491szCdFBp2Sdk30NKihoUENLXWra9BrldSvoaV+DS23DgzG4xXVpf0nXfy0LI/zKV4a1tQQG6kuHDuPDssfRw9XE2RQ/MfaarIsY3VIpGb5Scn0kZLlIyVTmCKmZPpIy/ahUSuIiVATE64iPFhF3TgN9apryLFKnE/2sniTmKBqWkdLywY6BnYOokntiqfBlwWXR2LfSRfbDznZeVRU6rq1MvL4reG0bKArJk4tELuv2yO0PZIk45Mg1KRkeHcT/ToYOZvoZcV2G+/PzaZ7KwOTJ4TTpqGuVD1StsXPqp12/tomYk1GdDcxtp+ZTfsdvDEji4Y1NUwcHkLXloZyJ8AK4PfLbNjn4MeluVQLV/P+YyJ6I8/mZ8afuSzZZKVjMwOf/QsIEAhC9/J3GfRqa6RtYz0Pv5fKtHuugWliGZBlma2HnDw9Ib8N53SWa3dSUbg8MjrtFd/t5MmwZInoBAB14jS43BLpOf7SfXQqiqQkkQ4/c6YwVLwWsIltmTVrxER0CXrKyqJlAx1ZeX7qxGo4cMpFzzb5VgMFRMjjEYNAFcB1IhQo7NwJOp0Y27bbRVVo1Cgx9RUIEfCVeOwxccnJgR2bYc+N4v7774e5C4SmJ5AICxM6qN69K/TwULOKET1MjOhhIs/mZ8tBJ+v2OPhsfg6t80lRj7JI0f9jXEmKHs0nRcfi3Rw45WbhOmu+yZqa+jW0NKihpX4NDQ1qakVKemM9994g9CsnzntIy/aRnuPnaLybtBwHGTnCqFCrURAdpiLqCo+eqDDVFaRJVao3jCTJhf42Pn/x6z6fjNcv4/PJ2F1yIcEpJDtZPtwemWrhamIi1MRGikvTOhr8Etid4jkXkr0cPefB7ZGFG3Y+Gerb3ki96lrCg5UBI3N2t5qVOxzsOu5h/0kXdeI0dGtp4MMnokvVYp1PFuRn1U4HDpcIOwvSKxjY2US/DkGoVbBih51HP0gjIlTFsG4mXpgYWeo2L0nCZXrZVhu7j7vo2sLAk+PD8Hpllmy28fPKPAZ0DuKzp6uVnOFVCpxuiRXb7fy23oLZqOThm8Po1tJAnk3iu8W5LN1ipUsLA5+Xlg32XwhZlvnw5yxMRiUTRwTz5Mfp3NzfTPtrYZpYBi6keLE6JFo00AkJwRtvCHlEAOD2yOgLqrrp6aISX2BMithPNK2r49g5d9WJUGKi+PvGG8LxOUBkrggKiBAIUjd4sOieVAEatYKOzQw43BJ7T1xBhBISRMUpKKioDrUMXCdCgUKPHuLicsHGjfDnn7BsmfCw2bjx2mxcYWEiubnA1ubPP4H/rp1ZiKkoKdp6yMmGvQ4+n59D64YFlSIDwUH/2xqXq8GVpKgATpfEuWQvZxM9xCd62XzQwbkkL2ajUpCiGloa1NBQv4aWTs31xaoOkiTyw9LzSVJ6jvh7Lskjbmf7yLFKmI1KNGqFIDg+Ga9f+N1I+QGnCkV+tphagVqlQK0CtVqB5orrBp2SmAgVsRFqurUyEBuhJjxEhcMtkZDi43yKl/NJHnYfd5KV66dGNQ11YzXUra6hXWM9deM0xESqKxxZUVHIskxCqo/tR5xsPWjnTEJz2jVx0aNNEE+OCyMytOTdYnKmj/V77KzcaScr149KKSz/h3cPol+HIKJCVWw64OSjedkkpfvo39HIu49Glymizc7zs3KHjb+22VCpFAzvbuLeUaHsOOrk019yUCnhxt5mpt0dWalWX67Vz+JNVhZvstGolpZnbo+gbSMdOVaJb//I5a+tNrq1MvDVczH/utzBX1ZZOHPJy+dPR/PFr7lEhakZP6gCouHUVOEBNnJkQF7HtkNOurU0iO3zg4+L+otVEU63jL6gwrl8udA3Ll1a5GS0eT0dR+Pd9OtQxem4pHx5RXIyfPstPPlk1ZZXEqzWy9cLBnJee63Ki+3a0sCijVYupbku33nnneK7/v57EfBbhtdXAa4ToUBDr4chQ8Tlq6+EKPjMGeFCfK2hUEBQ4LPKAoUQk4rh3U0M7y5I0bZDTjbud/D5ghxaNdTRu60gRf+JxPZ/Cwx6Jc3r6Whe77Io1u+XuZTuIz7Rw9lLHv7aZic+MQeXV6ZenKawchRiUmHQKdBrFei0SupW19CsroiO0GuVaNQij8zrk8nM9ePzy/lEB0F28sNU1WoFKqUCWZZxuWVybRK5Nj95Nok8m59cqwhQzbP6ybWJVlNe/mMcLpnoMNHuqhunZUCnIOrEaqhZTXNNtR1+v8yx8262HXKy44gTi12ia0sDN/czkXFxLzeOGlKiIDcrz8+GfXZWbLeTmO5Fo1agVMKQrkb6dzRRO0bN9iNOZi7N42i8m47N9IwbGEyXFsVH5wsgSTL7Torqz54TLrq1NPDsHRGYDAoWb7bxwLt5tGui56nx4bRtXLJ3UGlIzvSxcK2FNbvtdG1p4MPHo2lQU0tWnp/pv+eyfLuNnm2Mwvwv+r+MALlcYtKzdetSH7LloIPf1lv58rkYNu13cvism2+fjynf9uDYMeE6P39+wF7u1kNO7hwWLPbvr74qctoCBLdXRq/Lf09Ll17+++GHhY9pXk/L94tzq76ygooQCEPae+8NfOalzSaCY6dPFzmKFYykKQ+dmuv5aF42GpVMUrpXbNPPPw+zZ4uuzIULFVrOdSJ0LaFQFJmyuo7LCDGpGNbdxLDuJix2P9sOO9m038EXv+bQskFB++w6KaoIVKqCMFUN/TuKs0NZFqLjs4leziV6OHjajcUu4fbKuNwi4d3plnF7xHWfX1hhGbQKQYx0+anxBRedEq1agc2ZT3ryyY7XJ2M2Kgk1KQkxq8Rfk4oQk5J61TWEmlUEBykJveL//ikxa67Vz/5TLvYcF7EUwUFKurUy8Mzt4TSvp0OlVIjJpCSpyPMKfIFWbLdx5pIHrUaBLMPATkH07xhEkzpa9p1w8fsGK7uOOWlWR0v/jkG8fE9kmdOSmbk+Vu6ws3y70DiN6CGEzofPuPlxaR4XU70M725ixkuxxERUbtd8OsHDgjUWdh1zMqRLED9MFcvIyPXx5a/ZrNxpp087I9+9GEtc5FXu9gOogSkCv19kOb72Gvz1V6kPO3vJwwdzsnjjwSgsNj/f/ZHDx09WK985ev16MbiiVApH+wAgLdvHpTQvHRrrYPB9gsT5/QFZNgixtF6rENPIq1eLO0+fLiKablJbR3ySF0mSq2ZwmZQkcr/S0mDcONHBCLTNyKhRcPvtor23aZOIkAoAQkwqGtfW4vPJ7D3hukzuCwoPR49WaDnXidB1/McRHKQqnIiyOiS2HRI+RV/+mkOL+pdJUUUnY65DVHYiQ9VEhqrp0qL8g5fPL6o7rnxiJK7n386/7vHKmIxKQoIukx5zkDLgraurhdsjcSReiMb3nnSRkOqjeT0tHZsaGD8ouPSQW4RAedcxF+v2ODh+wY1Oo8Dvl+nT3sjATkG0bqjj+HkPa/fYeeW7DKpHaejX0cgjN4WW2koDMUm294So/uw76aJHKwNT7oygepSav7bZefDdNCJCVIzuY6Jv+6BKkURZFstesMbCuSQvo/uYefzWMEJMKtKzfXw2P5s1u+3073CZGFUa2dkiJPX334XZaiAz72RZaF+ef16MVd9zT6mp50fj3bz6fQYPjglDqYCp0zN49OYwGpTn3fPTT6LC4fMJQ1V1YA552w456dhMj3b2THFgh8ASIY8sdHobNxbV1yxbJsx8AYNOWDL4pSr6+U6cKMxzBw8WIuY+faqwsFJQMLreuzfMmCE0VZXw7SoLXVsa2HLAwZ4TLm7onW/Y2LSpGMA5dqxCy7hOhK7jvwpmo5IhXU0MySdF2w8LUvTVwhya19MWOlqXdfC5jspDrVJgMiqueS5TICFJMvFJ3kLTyaPxbmpUEzYC990QSssGOvRlBIKmZvnYtM/G4h2N+GptOnqdAo9XpkcrAwM7B9G+iZ6ENB/r9tj5YG42Oo2C/h2NfFkBXU1Gro+V2+38td2GQatgeA8TT08I41Kaj8WbbOw46qRHawOv3x9JkzraSrW//H6ZjVsymL88G4fDxy2jqvHmQ3HotUpSs3zM/DObdXvtDOwUxIz88fhKweOBlStFe2HpUnF75szAkqDdu0WA8caN4rZeL9pLf4Msw9Itdmb9ZeWpCeG4vTJTp2fwzO0RJQaSFnniq68KT5kCDBkSsJe/9ZCD4c28MP55UfmX5YATIb1OIQjcr78KEvfRRxAdXfiYAvLjl2Q0VOFkpG/fyxPIhw5dGyJUgD594PPPhdFtgAK4u7U0MG9lHueTPYVRNeh0Ynu9XhG6jn87zEYlg7uYGNzFhC2fFG3c72D6olxCTUpa1NfRop4wy6sdo/lH8o+u4z+LtGxfIfHZf8qFRq2gfRM9Q7oG8cLECMKDy64aJqR62XxAbEeJ6V4MOiU2h57OzXUM6mKmc3M9mXl+1u918P3iXCwOib7tg3jt/kia1C6bsPj9Enu2JrNsUx77s4Pp2cbA1IkRNKipYf1eJ89+kYHFJjGyp4lHbg4r97UWgduNc/MOVqxMZmFuI0Isqdx2dAY9Z0xB1a0FKZk+fl6Vw8Z9DgZ3CeLHabFEhV3F7n3/fmEDcqVuZMKEgGk6AGHgl5AgLgV47DGoUaPIwzxembXHapHjtvPxk9Gs3+tg7R4HHz5RjUa1yqkEeTyC+Pz8M8THi/sGDw7Iyy+Yynz9ZqOoONSqJQ7wPl9Alg/5rTGNQmQynjwp7qxZE26+ufAxCoUCpYLCAYYqISoKqleHgwcDsLAy0LOn+LtpU8CIUM1qakLNKjxemePn3bRqkD9c0qrV5czJcnCdCF3HvwImo5JBXUwM6mLC7xeVgCNnXRw47WbOCgtuj0TzejpBjurraFJbW+oI+HX8e2BzShw85WLfKRE3kpXnp00jETNy57AQasWoyyQnsixz5pKXLQfsbNzvJCvPj1GvwGKX6NhUT+92evKSNtGn70C2HPLy9GfpXEzx0qONkUduDqNto+JhqfkLFm65+/eTvucUKy4Es1zXiSB3HiN6mHju6SZk5flZttXG1Ol2GtTQcsfQELq3qrj3TwFycz0snraExbZGNM5I4NmDT9A2ZSeKP/4gqUF7fp6TxeYDDoZ2M/HTK3FVcxlv1UoYqc6cKW43aADffBNYM1KlEnJzhYGq2SxaGM8/X+Qh6dk+Xv42C7dbzfuPhjN9kYWsPD9fP1etYtVgnU58P/HxIlpny5aA2YrsPOqkZQMdpuoR8Mcfos3z8ssBDUV2e64QS5cBpVK0xgKCNm2uPRGKjISWLUUlcMqUgCxSoVDQtaWBg6eFHrAIEfrllwot4zoRuo5/HVQqBY3yHYbH9hMHu9QsP0fyPXc+25NDUoaXhjW1NK+no2U+OfrXaIwkSRx4/oucsP8p+PwyJ84Lp+i9J1ycuSTCZzs01fPs7eE0rVvc1LAQe/dCfDxSwiWOJ/jYkhfLBk1LHCojWpMOu19F52Z6erUNoksLA0olbNpvZfnBuszckkGHpnpu7h9Mlxb6ckm0Lz2TXU9/w1/ORhyKu4FeaSuYFv8EDaa/xubwFkydnsGlNB+DOgfx5bMxZeqTSkNShpff1llZs8tON30MH/0+kfophwC49Nlsfs7pzrZ3UxnW3cTsV+KqHoiamAjjx4t4nV69hDfaggUBC8osxIwZcN99otrx3HPirP2KEeeDp128MSOToV2NaJyXePnbCOrEafl0cnTFT26ys0X0UefOYlT7yupTFbH1oGhrAkLjFBoqqhsB0h8BOD1ymW3dAqiUQssWELRpI4TZHs+1c5gGUT378UdRQQvQZ9a1pYGN+xzsPeHinlH5d1ZiUvs6EbqOfz0UCkWhMV9B4rTF7uf4OQ9Hz7lZuN7Kmz9mER2mokV9QYya19dRM7rsakKpSE0VZ04B1BwUgSSJqY3HHhMjv9eKEJ05I8J8+/UTIsYysniqhGXLxJSITnf5EhsLb71FdlgNTlxwc/K8h+MXRHhqRIiK9k3EGHqbxvoKhfn6/DKH4v1s/j6BTTUHIimUKFUSXpWe7m2M9OoWSYdmelRKBbuPO/nkl2x2HHXSuJaGBjG5fPRMQ8JDys/pSkjzsnK7jVVbbISHDGfY6Rm8sG4y2eE1Wfrsz0xdH0GdWDujeprpXcHg07/jdIKH+ast7DnuZHCtPH7Y9BgxBzbCTTdxcZufn2/9jB0XGzKyp4rZr8WVmKFWaaxcKdzw3W4xYt6njyBB7dpVfdlXYubMyyTo99/FAbdTJ0Cc0Py+wcqc5RaevT0ck1Hmpa8bM7a/nokjwir3W33uOUGG1q4VFae6dQPy8p1uYQfxxLgwURVcvlxU0AJIgkBohIIroNdTKgPUGgNhW+D1wokTZVoYVBm9e4u8zP37C7/7qqJFfR0Ot0Rukp88m19MG18nQtcAFy+Kkt61giwLI6uRI6F//2tbDZgyBVq0ECOlQVU04yoLb74pDq633AIxMdduPZ9/Dnl5Iisnf+okGBdd3CfockMHQOgNzlzycDTezfbDTr7L999ocUU7rWFNbdkHrp9+EgRo4EChoxg3Dj75RJR7A4nly8VOYsQI6NBBiD6vBSFKShK+Hp9+Kg4WHToIA9AnngjsmLTZDCdO4JFVnI5swYnht3Oy3QiOf68gx5pMo1pamtbRMrKHiSl36Cock+Dxyuw54WTLAQdbDzlRS9FItYegkPz0iV9KrxoO2nz+IhiNHDjl4vMFOWw96CAmQk3/jkE8OCaUUJPM8uW7ynQ5d7olNu13sGK7nfPJHvrVdfLOnLHU1lrY0us+Xmr0IxdqtmVgjRA+HWe6qoiKggmw+WssnM+fAHuiu42QFq2hdm3OL1jHXGsrdkfncmOfCOb2Dw6ctUR6utgXNG4shLkFMTePPRaY5RcgJweeeUZsy7//LggxgF6PyyPx0c/ZnE7w8MUz1Th50cP7c7Lp0zSR24fUqhwJys4W5rJTpgR8n733hIt61TWiPZeUJKonw4YFdB2Q3xoLy3/PKpUQSeuKE3WVUoilA4I2bcRvNSnp2hKhXr2Eq3R8fMCIkFqloHNzAycviqnRvh2ChOapwBagvOcH5FX8f0C7diLCYurUwEdYgChLL1ggDupNmsCjjwqHzECXpZ1OkVnz/vvC4OqWW4QQskePwB5oZVmcjW3aJCzV+/UTZfcxY0QpuQAZGUKoVxXs2SNEkS+/DM2bC0I0dqxw3X7mGXj+ebQadaER4a0DxYHnUrqPY/FujsS7+WubjfQcP41ra0UrrZ6oGhU5QJ4+LZxXP/1U3J47V5xJf/qpEJQG6vOz2S5Pcezde+0IUVSUOCNXKsU6br1VLD8AJEiWZZIyfBw/7+HE+QacvH0N53Q1iAmBps3CaFVHy60jddSrrim91VUCcqx+dh9zsv2wk13HXBh1CtxeGZNBQZ92wfTct5ym7z0OL03j0PipfL7UxeYDOYQHq+jb3shXz8VQ84qJL6/XW+rrP3nRw/JtNjbuc9CwppYRPUz0bGsgPcfPX7nfsiq3JjV1NkY2dtF7XO2r0qT5/DKb9juYv8aCwyVzywAzbz8UlL+sEOJnr2SOtSX7d3kZ3UfNE+/XDbwLe3S0yC/s2FFMbxUg0MQ7LEy03erXL3JQT8n08cp3GVSLUPPlM9WYv8bK6l123nk4nLNH91d+PeHhoqpRxQiHkrD1oIMerfOXW726qA4HcFqsAIU+QiCIaSkHc6VSETiNUIMGQrtVpVn8CiAqSqwnQOPzBeja0sCJC272nsgnQkePCqF5WFi5z1XIshwgOvm/CYvFQkhICHn33UfwrFmCnT/6qDjbCHQlwO0WZ0pffCH688HBgqQ88kipiex2jx3TO8IFNOeZHEKDQstfjyyLvvysWaIMbrWKndPEiYJ81ap1+bF+v3jPV4vTp4Vg7ZdfhGusVisOthMmiIPvsGGCkF0xDXFVSE0VwsXffhNCvCvrxV27wpw54j2WgRyrn2Pxbo6ec3M03s2ZSx6qR2kKW2kt6uuINXpQ3HabCA68EoMHC1FpCYJJr9fL8uXLGTZsWInuxcXw3Xfi9daqJQJuCy61aontIFBl+IwMQVZHjqyyk6zF7ufkBQ8nLng4cd7NyYseAJrW0dK0ro6m6YdoMqoD5vDKHZxkWeZsopedR5xsP+LkXKKHYJMSm0M4VPdpb6RnGyP1a2iQZTi26Szrt2az2V6dIL2Svu2N9GlvLLVK8/fvJs/mZ81u4SRtsUsM7hLE0K5BRIWp2XLQwV9bbZxN9DCgUxAjepioF6e5KsJQkAG2cJ2FEJOKcYPElFmBJ9PReDfzVuVx7JyHMX3NjO1r/ldZG1QUe084eevHLMb0NTOmj4l3Z2eTmePn9QcjCQ2SK/e7ucbw+WXGPJdYjExfC7z8bQY92hgLW/2lYezziXz+dDWqR/2zn89VHXdAnOQF2rU6H1aHxE3PJ2I2Kln4aiSK4cOx/PGHOH7n5RFcRuv/OhEqB4VEKC+P4Oxs4Uvx00+ipTR5sjC3CgkJ/Ir37hUGZr/8IsqvgweLUvXQoUUY+1VvkAVwOASBmDUL1q0T9/XrJ0jRmDFw4ICoerz6atUIkSyLZRWQoqQk8YNQqURb6777RJspEK26jAyhd1i16vJ9QUGicnPPPRU+cLk9EicvegqrRsfOudGpZJo7z9JCk0YtdR5RGheRWjcmtR9FaAhMmlTsTLTSROi/FH5JRG+kZPpIzhBBqsmZPs5cEgGv9apraVZXS9M6OprW0RIXdXUaLKdbYv9JFzuPijgMj0/GZFCSleenbpyG3u2C6NHaQM1qmsL09w37xEi8RgV92gfRt70gR+Wt3+v1suyv5cTU68/q3S52HXPSvomeYd1MdGqmJyXLx7KtNlbttBMXqWZETxN92xsrJGQtCdkWkQH252YbTWpruXVgMG0aiRgNWZbZfdzFvFUWkjN83NTPzIgepkpljP1bIMsyC9ZYmb/GwvN3RVA3TsNL32RQI1rDlDvD0WuV/3W/m4377MxZYWHGSwEO0S4Bz32RzogeprK9koBbXkzioyeiA0PMZLnC+8arPu4895zoRlwjTP4kjTMJHr4clkGdQe2x7NpFSOfO14lQVVGECBV8kKdOwSuviFZWWJj4ch977PJBvBIbVLnIyBDhcdOni/ZZvXqiQnT33RAaiv2pxzCFfAlcJRG6EgkJohIxaxacPSvacn36CFO1fv1g3jzRc60qJEmUyD/88HKODoiW4Pz5Ve9Pnz0r8mzc7ssXj0f8HTJEtDevYipCkmQupno5Gi8qRilZfjJyfGTm+tGoFUSGqogKUxEVqiYqVEVkmIrIUBVhJji0dwNjbhiITncNpzECAKdbIjVLEJ3kfKJTQHzSsn1o1Qpio9TERYpLbKSa+jW0NKhRjr6qHKRk+th51MnOo04OnXETZlaiVilIz/HRrK6WXm0F+YkKUxeOxG/cZ2fjfgeSBL3bGenb3kjjcrx+rkRqlo/l2yws2ZhNSLCBYd3NDOochNmoZNshB0u32jid4GFAR1H9qV/j6r+7hDQxAbZuj53urQ3cOiC4cHl+SWbzfge/rLbgcMuMGxjMoM6Vc5n+N8Hpknh/bjYJqV5evz+SXJvEK99lMKKHiTuHhRT6gf03ESGbU2LS6yk8c3s4nZtfg5iRv+Hxj9K4fUgwncpZ17iXknj3kWjqxAbg8/nzTxGFUQFcdSciLEycoHbuXIUXWjoWrrOwaIOVsdrD3PTKMCwPPUTI9OnXiVBVUSIRKsChQ+KAu3SpIAgvvggPPCBaG337CkFyoODzCW3PF18I3Y3RCHfcgf3XuZiesAMBIEIFkGXYvl0QonnzRNUIxKTP/PlC7FZVZGaK1tiJE6JcWtDK0moFQXr00X/N+LgkyeRaJTLzBDHKyPWTkeMnI9dHZn7Ce1q2F6VCSWSoisiwfKIUqiIqVEVU2GXiFB6suiaRFZIk8sR8fpExllKE5HhJyfKTnOEl1yoRGaYiLkJNXJQgOgWEJy5KjdmovLpJu7/B75c5es7NziOC/KRl+4kMVeF0SzhdEh2aGejSwkDXliJvTpZlzid7ReVnnwOnW6JPOyN92gfRrK62wmaaHq/MtkMOlm+3c/y8mx6t9YRwiHsn9CIjT8Ff2+ys2mEjOlzNyB4m+nYwYtBdfUXmaLybBWssHDzjYlg3E2P7mgvF4B6vzOpdduavsWDQKRg/KJjebY2V9hn6NyEp3cu0bzOpHavhudvD2XbYyecLspk8PlzoOq7AfxMR+mx+NhaHxLS7AyyHKAX3v5PCozeHXfbEAZEOHxlZ5CTutpeTef3+yCqR9EI0aSIkExXQ1FwVEUpNFceQm26ChQur+GJLRmK6l/veTqWl8zTvfzcAS1gYITk55RKh62LpqqB1a8Gid+2Cl14S0zYffijE1K+9BmvWQNu2gVmXWi0EwGPHilyeL78U1Ruv4/JjzpyGNgFQ4SsU0L27ICtz5ly+PyVFVIbeeguefbZqorrISKGDAkG83G5BiOz2y3+vUS850FAqFYSHqAgPUZXoeOv1evnrr+X07DOEXJuCjFw/mbmCNMUnedl1zCXuy/Hh9MiEBxcQJBUmoxK/H7w+GZ8/n8z4ZLx/v+4j//9lvFdc9/nA65cLeaZCATqtgtiIywSnaV0d/TqK29XC1desEpFn87P7mGh57T7mRKtVYNQpycr1ER2uoktLQX5a1L/sFZSQ6mXxJhsb99nJtUn0amvk6dvCadlAVynCGJ/oYcV2G2v3OKgepWZoNxOv3heJUuHjq5/UvDg9m1MXvfTrEMT/tXfe4U2VbRi/kzRN995QRlsoe+8pQxBQlp8DRRwobkWRpSCiMlRQHMhUQFQUFJG994ZSNhRoSwcddGY287zfH0/TtCVtk/YcQHp+15WrbXpyRs547/eZc98KQaOqelhVgoVjOHq+CH/uUiE734LH+3hj8pjAkhgfnZ7DpkMa/LVXjYhgF7z9pD86NXPjRWDezxy/UIS5v+Th6QE+eKKvF1ZuVmH7cS2+fDsETRpUXbrgXnEx0YB9cTr8PN0BlxjH0auGcXx6g506QsuXUzxfqTFFJgV4SRrLzCRPx++/k8dBCKwVstevp4yxKmI2q0PdEDkCfWU4V1QfRpmCMhUdQBRCfNC5M4me/fupQuqJE/R+375UoIqnjscltGxJomvnTuDWTdv7Qx4FfvqFv/o23buT1auggFJSCwpsv+/dS1lZfCCRULaKmxv/Aej3CRIJ4OMpRaCfHNF1K15OW8SRSCokl5tax0HuIoGLTAIXGWy/uwByWbnfXWgZF5mkeDkU/18CuQxwcZHc1QapZgtDQooR8QkUe3Mt1YggXxnMFsBoZmgerUCXFu7o3Nwd4aU6ot+6bcKBMzrsjdMhp8CCnm3cK6/yXAGaIg57T1Hgc2YeFTf85r0QNIxwRVaeGX/sVGHbMQ1cEIZRg9zx6ash8HCrvrg3GDnsPKHFuj1quMgkeLK/N/p19ITchfa5UG3B+v1q/HtAg+ZRrpjxchBaRN+/AoAvOI7h1+0q/LNfjWkvBaJ5lAIzl+chO9+MHyeFVq8VyF3CZGb4+vd8jBvu51hLFGscYg3jRg1GZssaAyhpZflysqiUE0K8FFS0Tkp//ll4IcRxwNdfAwsXCrKZHk1l2JGqxoWwDmiUfcKh1if37xX4XyQigtICrRQWUk2gbdtIVPCJjw9V50y9ASS/Qu9160Yp5AUFlKpeU4KCHlhhcr/i6S6Fp7sU9fnw+d9lrMLn3DU9zl6nOCoPNwncFVIUqC3w9ZaiY7HLq02srSEqub2MOBhfhENndcjON6N7Kw+8PMwP7Zu4lQgJR2CM4VKSEZsPa3DorA4tohV4aoAPurV0h4uM6sAs23Ab528Y0Ke9Bz4dF4DrF+IwuFs05PLqiSClxoKNBzXYcECN+mFyvPE/f3RubrPwZOebsXa3CjuOa9GtpTu+eS8EUXXu71gxvtAUcZi7Kg+38834cVIYZFLg3fnZiAh2wYL3Q2vkdqw269aRe8YBC9yfu1Tw9ZJiUDcHkjjOngWmTiW3fg3RlxdC27YBaWmURPPKKyVvS6USfixCViF05gwdR5s2PKy0HFYhBNDYNXOmIONLt8ACbPX2xemWQ9Goex2qjVUFohDik8aNgX376EI6e5aypM6epUyvjRv57epbty69jB2BOcU3xsqVAB8xQiIiDmAyFwuf63qcvUZZdb5eUvh7y6DTc7BwDHVDXMnq08INDcJtWVyMMSSkGErEj0bHoXtrd7w6wg9tGjsnfgBK3991QovNR7Qo0nMY1M0LP0+nzutqHYd/D1KmlkQCDO/tjQ9fDIKXO2UmXb9QvePPyDVj3R4Vdp3QonNzd8x+Ixix9W0WnpRME/7YpcKhszr07+iJpR+GIyKo9jxyUzJN+HhpDmLrueK7D0KRfMuE6UtyMKS7F54f4ltxXFdiIm+VoMvAceTSz8lxqFxH+m0T/tytwsJJYVW7LXU6KgliMvFSH0dv5Mr2GluyhH6ePl1mOd4tQgBZhb77rubrLE9GBhWj3bWLkn+uXqX6dTzTvG8suG3pOBreA6NSdlT9AYhCiH/Cw+k1aJDtPbWa2hnwmU0mInKXsSd8AnxkCAskl4GXhwQGI0O9MDk6N3dDh2buZQpSWjiGS4l6HDpL4ofjgJ5t3DHhmQC0cDLmByAxdTHRQNafc0VoF+uGV4f7oWNzaqWRmG7Er9vysC9Oh7aN3fDu0/5oF+vmcGB1RVy9acCfu9XUAqOLJ5Z9GF7GtXflpgFrdqgQf02Px3p689MH7H7BYqHYwCqeY4fO6jDv13yMGeyDkX28sfe0Dt/+kY93nw5Av44VWFe0WuCzz8j1vnQpv4UK9XqqkbZuXdm4xwpgjFxiT/TzQT1HUtMnTbIVcazhM95SHOdXEiOUmkrV5gGKDzUYSgpSSqWSmrfYMJlo0u7pSa+dO+n7Kl1ckw+WLaOQil27KL5WCKsTqBdllxbuOHAyDPlK+wVTyyMKobuBtzf/PXtERATGKnzOXtPj3HUSPv7eUoQEuEACwN+bavuEBMjQKkaBsUP9EFu/bAaX2cJw9hqJn8PndHBzlaJXG3fMGBt0x7KOotJasPOEFlsOa1BkZBjSzQurPvZDsL8LTGaq1LzhgAZp2SYM7uaF5R+FIyywZo86jmM4eUmPP3erkJplwvCHvDH+af+SNheMMZxJoCKINzNMeLyPNyY9F/jgFEHUaKhZqkpFmbIVYOEYVm5WYusRDWaOC0KrGAVWbFZi21EtvngrBE0b2omJYoxqmY0fTyVCLl3id9/z86klzuHD9LcDsY07jmtRoLLg6Ycd6L+3ebMt3oWHqux6I4NUAsitl+zy5basWpOJxFAHah0k46P7vEoFHDkCTJhAYnTvXkGqZcPXl6pXA1TiRCAhBAA9Wrvj1Kk8xKMBgENVLi8KIREREQAkMJJvmXAh0VAifPy8KeWfY4CHmwQqHYf64RK0inFDyxgFGtdzvcONZTQxnL5ShENnqRVGoK8MPdu448u3QhBVp+oih/ZgjOFCsfXn8LkitI91w6sj/dGxuJFqTqEZKzYVYvMRDUIDXDC8lxceal/zWjxGE8OeU1qs3aOGxcLwZP+yNX44juHwuSKs2aGCUmvBU/19SrXIuAtYLDTD9vDgp6xFeTIzqWTHokWUCVU6zqMcah2HWStyodRwWDQ5DN6eUnz6Uy4ycsxYODHUfg+569epBpu1+Onjj5f0C+SFmzfJOm/d71atqux7WKC2YPH6Qnz2alDV1092Nu2/XE4ihQchZDAyKFwltvukQweqWzdzJgmulBSbEJJJat5rLDDQ9kpNtdvTjDeiouhnYqJw2wDQoZk7dBJXnPRrC6BqC6AohEREahlFBg4pmSYkZ5pwM8OE5OKXSmtBsL8L/LykMFsYXGQkBIJ8XdAyRoFWMQo0iJDbdWEV6TmcuKzHoXgdTlwqQt0QOXq2ccf3E0Mdcy1UgLXlRYn1p7sXVs3wQ7AfFVY8d92ADQfUOHVZj15tPTDrtWBeUrE1Og4bD6nxz34NwgJlGPuYL7q1crcV+zMz7D6lxR87VZBJqQZQnw4etr5pGg1VTK9Tp8b7YpfLl6nC/erV5Io/epT/9c+fT/30jNQuBb/8QoOlHZJuGfHx0ly0jlHg03HBUGosePfrbIQFuODbCRUERScmAs8+S70CrUydyu9x3L5NsZlWITRgQJUfWfRXAXq39UDLGAdcQ/7+ZMEKCaFWPmp1zfYXQFH5+KChQ+n8urkBr79exvUmlfBgEbISFATk5fG0sgrw9CQhKrAQ8nKXorFbIc6Ed3VoeVEIiYg8oJjMDGnZJHJuZpDwSc4wITvfjIggF9QLc4GnuxRe7hKEBsigKbKAMSAyVI5WxcKnsjYZSo0FJy6R+Im7qkdMpCt6tnHHK8P9auSKYozh/A0DthzW4PB5annx2uP+6NCUrD86PYd/D6jx70EN9EYOQ3t6471RAbx0Y8/ON+PvvWpsO6pB21i3O1LciwwcthzRYN1uNYL9ZXh1hB+6tCgWSGo1uUn++gtISqJyGnxSUEAFTVeuBE6epPc8PanAKp+zeMZICO3daxNB/foBo0fbXXx/nBbfrCnA2KG+eKynF66mGPHxklw80tUTLz5aSVB0dHRZITRwINC+PX/HAVCq+dix1AOwYcMqhdCpy0WIv2bACkdqBgFU3HDTJnIpzZxJCSw1xG4NoawsEhDl7kWZjMfu84GB5EbkOGEbr0ZHk2tMYPqEK5GQ51jTclEIiYj8x7FwVCm6RPAUi570bBMCfWVoECFHvVA5mjZwRYtoBQpUFlxONuDUZT0iQ+RoGaNAzzYeaBmjQJBfxY8EC8dwLcWIk5f1OHmpCIm3TGgR5YqebTwwflQAAmsYEKzU2GJ/DCay/vwywq9kn1IyTfj3oBq7TmrRrKECLw/zRecW7pUHWVssJBq2bKGH+yef2H3IJ6ab8Pd+JY6eL0L/jp74cXLZxpoqrQUbDmiwfp8asfVd8eELgWjVSAGJSgX8vp7Ez/btFMjq5UXbFKIH4ZUrNhEEAD/+SN3J+UQiIZdPaip9V66u1FC43CBssTAs/7cQu0/pMOv1YLSIVmDvaS0WrMnHO08FoH+nKlLO//iD4oL+9z9yu73+Or/HAZBV6+JFCjZu1KhSC53eyGHBmny89YS/c7Fda9eSSOnZs2b9GIsxmMqlzgN0Puy0N5JKeAiWthIYSCKosBAICOBppXaIjuZ/kmCHbo0l+PGyY+dRFEIOkp1vhrc3e+CrvwrJ9mMaeLhJEeAjg7+3FP4+MrgrJOJ36iTZ+Wbsi9MVix4jUrLMcFdI0DBCjoggFwT7UyaXvrECWXlmpGWbcfqKHoE+MkSGuiAm0hWjBvigRbQCPp6VP7jzVRacvlyEk5f1OH1FD3eFBJ2au+OZR3zQtrFb9QsQ5uQAJ0+CGYw432IQNh/R4Mj5InRo4oY3/ueP9sXWH4uF4dBZHTYcUON6qhEDu3rhx6q6f+fmUszJ1q0kTvLzKTbk8OE7RNC56wasPx0N5eE8DOvljV8/jYC/t+07UWkt+GOXGpsOqtGxmTu+eqdc1ekrV6g4XHy87b1Vq/iNc7Fy/Tq12bEyejRlQvEJx1EG1Pz5wIgRZAlSKm1BrsXkFJgxZ1UeTGaGxVPC4O8txcrNhdh0WIM5b4ageVQVFqrdu2nfH3qI3HvZ2UC9evweS1ISWWmeeKJsFm8F/LJFifrhcvRq60Scj1ZLVsCXXuJFBAFWi1C5Z2JWFlC//h3LkkWIl83a3J55ecIKoZgYOuelst+EICIqAL5FOQ4tKwohB3lnXhZkrlo0jJAjqo4roiLkiKojR8M6rvB6ALtDC8G56wbkFlpQoLKgQG2BUkNVk/19qPZMgI8M/qVEkr+3rOR//j4yeLqJogmgCsUJNw3wcJeiUaQr6oTIcTvfjBtpRlxONiIy1AWRIXLUC3NB8yhPRIbKERniAvfKRAtjQFERLAWFuHRVg1OZbjiZJkdqlhmtGinQsZkbxgzxRWRINTrKFxWRUDhxgqwZJ05AmVmInb3fwuZOr8AUn4ch3b3w2kj/EqtSgdqCLYc12HxYAy8PKYb39sbnrwVXXYBPrabKuKWLqIWF0WDlfaeZPDXLjOhgJd57qRG8vcq6wNbvU2PtbjU6NXe7w0JUQno6Ba9amTIFGDnSqa+nShijljoTJpDrZd8+YNw4sgbxSekU83ffJTFUUEDFW0ux55QW368twODuXnjxUV/IXSQwmRnylBb8OCkMofaCoksTF0ciq1kzYMMGin2xM8jXCMaAN94ga9aCBVUufiONinAu+yjcuet782aqIfTUU9Xf13L4eErRpUU5MZadDXS6s32SVEIB+7xgLW6Ym8u/lbE00dF0fm7eBGJjhdtOcDCGXpqPDQ4sKgohB/ljVh0YLJ5IyjAh6ZYRF5MM2HiIUnQDfGXFwsiVxFGEHJGhclvgpAgAYPKYsoGWFo5BqeFKhFGBiiv+acHVm8aS3wvU9L5MCptA8rZaluyLJ28PKSQGA/+1MKz8+Sdw6xY90Pku/sYY2IsvQpmlRGpUR6QFN0GaVz2kskCka12RkWeBv7cM9cJI8LSIckVkVxI8If4yx1LSGQM++ghYuxY5RgVO+rbFqYgeiKvbHf4yAzr19MHYob5o1UhxZ7yCs2RkAB98AHbsGC6FdcDG5u/i8MOPoGMLT7zVLxDtm9hq+1xLNeKvvSocPleEri3d8dGLgWgRrXB8cGKs7GzW3Z1iOCIj7S7+WE9PyNS5cCsWWCYzw+bDGvy6XYnYeq74enyI/YaWKhXwzjtk/encmQJlL10CPv/cqa+mSlQq4OWXSZwMH04Vef38qNKwHWFXbfLyKMX86FHgm2/IZQWUqfyr1nH49o98XE424NNXg8o0BJW7SDDhWfuB1GW4cYOsM8HBdAxCuA8BEsI7dlCWVUREpYtaOIb5v+Xj+SG+VYs4e9upU4eq+vNETKQrYkpbHTmOgr7tZLvJZBL+Mt1LW4SEpEED+nnjhrBCKCgIj19chZccWFQUQg4iARAS4IKQAJcyat1kZkjNMiHpFrkpdh7XIinDBKXGgnphckRFkNUoulggBfrKKn6onzxJJnyhBm8rx47R4F1FGmmNOXGC4iUaN7ZbbVUmlSBAYUZAmAyoonsyxzGodRzyrcJIZSn5/Xr8LRRogALOHQUGGQo1ZCv2czXBv+AW/OsGwD86DP6+LuUEFFmbfDyljomHEyeAa9conuH2bZqhT5gAtG4NNmIkzMNGwNCoGQxmijcwGBkMJgatzoSbOT44dLYIZs4Io4lBb+RgNDLoTYyWK17WYGS4nVqANPcp0NeTIjIvGZE3EhFZeBR9lYmIbB+FujPfhWej6mcjGU1UiPBk4P9wqkMfZHrXRdtbR9Hp1mGMGyBHxPsv8Vr4U3c9BbtcOmLTkzOgVvji0du7sHqiLwJj6PrjOIaj53VYt0eNlEwThvbywupPIpyPOTp6FHjySXIjvPkmWUx+/70k1bgyLBzD/hNarNxciCA/F3zyclDFWUMXL1Lzy7Q0cr18+CEFF9epw5t7BACQnEzBvTdvknXmvfds54XPhpVZWUDv3hQT9Ndfdi1aZ67qMfeXPLRv4oZlH4bDszpW8Lw8CogGSKSEOxiQ7CyFhWTR6tQJePXVKhf/94AGADD8ISeFpVpN7tfXXhM2uDgvj2Ld7MQIUdNVHoOlrdsTkrg4+ilw5pgziELIUdq1A55/nrIcSj2E5C4SRNd1LZ412oIDlRoLkjNIICVlGHEoXofkDBNc5RJE1ZGXWJAa1pGjQbgc7gYN9SOTy+mhNHAgNU+NjeW3GjVjlI6Zm0tiqFs3ms1260bNXO11Ta5u2fjXXqMWI66uFDPRsmXZV506tD8dOwLvv08l6isYSKRSCXy9ZPD1kuEO+8vQMTTrtx5iaCjUDZuhoG5jFBw9hwL3IBRExqKg28NIiW6FeL2sxMpUoLLAwgF+XtIy1iZfLxnMlrICxXBeD0OmO/Qu7jDKQqB/9jCMLm7Qu7jDkOkObqkMUpYKN4UUCjcZFHIJFK5SKFwAjSYU6boiuCmkcHOVQOEqKfm/h5sU/j4Sel8uQWDmCUT+NRMh+cmQcRY6J889B0yaAzRp4vx5AJCZa8bJy0U4eUmP+Gt6hAe6oKPcgjfj56HFjf1wrV/ck8cB0eAoSbeM2HhQgz3Ho9Assh9eNOxHl5MbINu3FwgPK2lS+tdeSjl+op8PHu7kUf0aPHXrUp2Sf/+l+7VpU7KiVAJjDEm3ffDGl7mQSiV4+6mAMn3C7FKnDj0D/vzT5q5o1ap6+1wZ4eF0DKtW8WpxuIOgIKBLF8pG61o23dhg5LB8oxJ7TmoxflQAerX1qP52/P2pTtCTTwrrevHyAiZPBvr0qVKYZuebsXJzIb4eH+p8Q2IXF2p9wXemW3k8PKiMgZ3m3RRHx9N2wsJI2Je7Bnhn714aGxwoZVAjrM3PHUDCGF9y8sFEpVLB19cXyocegs+BAzRwd+tGgYpPPllhXQ17cBxDZp652HpELrakWyZk5poRFiBDlLwQUTkX0fDcbkSf3YVwVSqk9SJJEA0cSIGL5UzJ2iIVvL6k9wo+KIBfVb3GGKN01aNHyTJ09CjFOQCUitupk00YdelCx/fnn8ChQ5Rx40yTvMuXqXv9hQu2V+l4Cn9/EkSXLtEspHFjahr79NPOzazT0igwMjWVXmlp9DMxkSw4pfH0JEE7aRJQvz4YY9DqGVmXSlmbVFoOchfYxIxcAoVJCzejDgqJBYobV6CYMgEKKQe3zu3g2q833B7pD5cmje4QriaTCVu3bsXgwYMhd0RQGgxkcWrWjNwi779foWvH7seNHG6km5CQYsTVFAOuJBtRqLagfVM3dGzmjk7N3KjjN8dRK4Pdu6l6rZ+fw9uoCKOJ4WC8DhsPaZCaZcKgrp54tKcX6gS5kNDq0QMFPmEl6e8Nw+V4or8POjeveesLZzl3TY+lGwqQka3B60+Eon8n77u+D/cz19OMmL0yD6EBMkwcHVjjrEBncfq+cRLGGD5alIP6YXK8OtKf9/ULhkpVErc1a0UuWsUo8FhPntyk775LY5sd0VUarVELrzleABwcd6xwHNVc6tULWL++hjtbBdOmQTVrFnwBKJVK+JSLdSuNKISqoEQIKZXwUauBNWtInZ87R1aSwYPpwnn00bIuLSci4vVGriTtObHYxZaYaoDRYEEDQzqiUuMQlXkOUQXX0DDaB779u5fU3NDeugmvn8lC5dQFWZq0NBJF1teZM2QFAsgiFRND6ce+vsC0aVRJtbrR/koluRaswuj8eVvpeytNmpAgevLJmrkaPvoI+OormlW3akWiy/ozIqJmlraNG8nS1bt3ldVkq/VAT02lmWAVwtNsYUjOsImehBQjUjJNCA9yQWx9VzSpr0BsfVfE1ne1H7OWlkaWlBpaHTNyzdh8SI1tx7SoE+yCob288VA7jzKVeVMyTVi3V4V9p3Xo1sodT/TzQeN6d78L+/U0I376txCJt0x4ZoAnWOEBPPaoMIPtfxELx/DnLhX+2KnC2GF+GNrT654kKQgthA6c0WHpPwVYPi286iB8ZxGqr2RaGk0oJkwAAMxdlYemDVwxrDcPQogx8hK88AJNeiuh2kLo4kV6/rq6kkvWX0AB2q4dVPHxDgkh0TXmDHXqAB98QK8LF0gQ/fYbmeJ9fSlNc/Roqifx+uvkRuvXr8rVurlK0aSBokxFXMYY8lUckm6FISmtJa5dyMT2VD1SjD7wuZ6HqONXEKXbjvB6UpT4in79FXjlDef91ZGR9HrySfq7qIjEkNVqdPAgva9UUvfmH38EvvySzNzO3uy+vuQC7N6d/v7yS+pzEx5O6bPWV24ukJBAVpHqwBi5kz75hJdu0HcwdCj/6yyNnVRijmNIyzYjIcWAqylGJKQYkXjLBH9vaYno6dfBE43qOZHJ6ISlqTwWjuHExSJsPKjBxSQD+nXwxLx3ygYXM8YQf82AdbtVuJRkwODuXlgxPdx+uwWBSb9twopNSsRd1eOph33wybggyCSWkn6WIuRCnbsqD0Yzw8KqyhT8h9HoOHy/Nh+TxwTyL4IKC+mZKcQzYv78MtWreek1ZuX8ebLYb9lSpRCqNgcO0E+jkeLRXnlFmO1kZpYtaVEFohCqLi1bAl98AcyeTSf311/JhbR8OQ1iMhn53KdNI+uGvdibSpBIJAj0lSHQ1x0dm7kDA/0AkAUg/ZoPknarkHxeioP5hpLPvHWgPprs/xNRgzogqm1dNKxDWUROz+bc3W1ipaCA3GV5eSSw/P3pWObNI7fTBx+Quq8uo0ZRhkpN1mEPiaTa8TT3A4wxZOVZyoiea6lGuCkkiK3niiYNFHhusC9i67uWqXtzN8hXWrD1qAabj2jgoZBiaC8vTB8bVCaA1mxh2Hdah3V7VFDrOIzs441pLwVVL8i2huQUmPHLViX2x+kwrLc3Vs+MgHdxwTyTSYDmkv9BGGPYflyLxX8XYsRDXhg9yPeBznpd9lcO2tUx07OVTxij0gaPPMLvegGaHC5bViYmSSrlsbK0tUbV6dO2StZ8YxVCABkRhBJC588D331HmZ0OIAqhmiKTAX370mvhQgraXb6cGiECwGef0cn//Xde+g65yCRo0DQYDZr2B4qKoB3UH/OL//fmyVm47dYISVk3cfx0PyTJwiGRomzdowhXNIyQOz4gWSxUlC4ggKw5fGdH1MAi8SCRp7SUuLasL45jiC12bY14yBtN6rsiuDrClgesfb02HtTg+KUidGvpjg9fCETLcqntGh2HzYc1WL9fjUBfGUYN8EGvth6Q3YNBVamxYM1OFbYc1qB/Z0+smhGBgLsc5/JfoFBtwde/5+Nmpglz3wy23yH+XqDTCbLaC2dycPBQDn7+QIDU/eXLqdTB//7H/7q/+46+k1LtKWRSCX8WoY0bbb9v304uMj5hjJJnIiPpOPR6CgHgu5AmQKEjDz8sCqF7grs71chYuLDs+wcPAq1bU/bHkCH8bc9gAL5dAGygzJWm21egq3cAuYLkcjA3N2SrJEi6ZURyhglnrxmwfp8a6bfNCPaXldQ9smaw1Ql2uXPACgpyLkBaxC6MASotB5XOiHwVh3ylBVn5ZlxLMSIh1QiNjkOjSIrlGdDZE28/6Y86lfT5ultoijjsPK7FpkNqGEwMj/bwwttP+d9hhcrMNePvfWrsOKZBm8ZumPbSnSLpblGk5/DXPjXW7VahS0t3LPkwHBFB4qPOHscvFGHeb3no3toDU18QwE1UHTQaShBwcBBzBmNaBr7+LgmvJv4O/1ieC1JeumTbZz5rPAHkDvv+e/o9M5MqWnt6QirlqaBiejqFQ1jZsoV/IWQ0UjzoxImUfHPsmC0WVQicmLSLTwe+8fKiGhkq1Z2vwkJyNfEVIObnB3g0Q0npzPBwoFTQmgRAWCAQFuiCbqWye40mhpQsE5JvUYzJ1qNaJN0qgFrHoUF42cKQUXVcEeAjzqIrwmiijLN8lQV5SktJ9hn9zhW/b0a+sjUW7cmGv68MgT5URTvIX4Zurdzx4mO+qB8mvydWk4q4lmrExkNq7I/ToVWMAq+O8EfH5m53pBhfSTZg7R41Tl2mHl2LpoShbsi9iSsxmqgY4m/blYit74pv3gu1XwxRBEUGDovXF+LIOR0+GB14ZyXjijCbgZ9+ojpKVRQqrBZHj1JsX0QEJWrwWWsmORl/jlsFf48mGBil5W+9AMVVPvUUWTkAGgf4ZMkSGj+s3LhBk2uAn15j+fmUANSpE9XgateO/4BvhYIyxry9SdhJJPyHRJSHlGKVi4lCiG8kEsoec3Ojk34f4iqXoFGka9meSSATubVydvItE/ae0uFmpgkebhKEBbpAIZfAtfzLhWriuLo4+T+5BK4ugMJVClcXqsd0v6QucxyDSsuVCJz8UqLG9je9NEUMPp5UpDHAp/inrwyRoXK0aUxVr308OMSd2IsRQwfAVegbvwYU6TnsjdNh82ENsvPMGNzdC8s/Cr+jk7yFYzh6vgjr9qhxK8eEEb29Mf5pf166v1cHC8ew56QWKzYrERLggpnjgst0jK81nD1LWZFVzISvJBswe2UeGkTIsfyjcPg5GmO2YwdlKzVv7lChQqcwGoFPPwXmzKGBi+9g3UuXkDpiLNb2XIYf/x4GyfyP+F3/e++RRcgK3xahsDASKAsXUr21YiGUmmVC60Y8FOC11sHiOBq7nnmm5uusCKsQuhvIZKIQEnEOP28Z2sXK0C7WdmNZOIaMHDNuF1hgNDEYTVRg0Pq70Wz7Xa3jbP8v9X7pZQ1G+mkqtR5zcbyq3AVlRVQ5UeVaTlQpHP1fqfXIXQBtka1uUJ4dsVOgskAqRbG4IWFj/b1emBz+xYIn0EcGP29ZmRRxe5hMJlySW+65m6sirqUaseWwBntPa9GkgQJPPeyD7q3cIXcpu78GI4ftx7RYt1cNVxcJnujvjX4dPKs8fqFgjATZTxuVcJEB40cFoFOzKooh3m3MZqcTJZzm2DEqhNexI9CmTcW7YmH4dZsS/+zX4PXH/TCwi6dj39Xly5QUsW0biax16/jbd4Aa144ebXPN+PvzG2Oj1YJ99RW+aTUJT51dikhlMtWx4QuLhRI+bt+2dVXnWwiNHk3rDg+nIGO1GhzHkJBixAejeZxcMSZslWyAvhuDofqFep1BJnPI/SYKIZFKkUkl1LRTwDRaC8dgKiWS7hRQNAgbzbArrowmsuBU9L/yws3TrbjNho8UgT4y1A+To21jtzLCx8v9wW7wqtNz2HuarD85BWY80tULi6eGoU7wnedZrePw7wE11u9To2EdOd550h8d77HgOHtNj+X/FkKp4fDiY754qJ3HfWNRBEAz3iVLSAhNmSLMNqwCaMcOSsT4++8KF03NNmHOyjy4ukiweEoYwh2JmSospFpcS5agpHzxM89QXS4+UakoYNYqhMaMoXhLvuJHPD2x/YnPoPz1Gp7S7KFWFTEx/KwboMG2bl06Dy++SLE1QnRvT0igorMA4O2N9CzqVBAawKMlluPujhAC6B4Rsss94HAdOlEIidxzZFIJZK4SuN2/XqMHhoQUAzYf1mBfnA5NGygwaoAPutmx/gBATqEZf+1RY+sRDdo3dcPsN4LL1Lq6F1xPM2LZhkIkZ5jw/BBfPNLV0/E0b46jbuFNmtgGFL7Jy6Og1u++o/iHq1f538aJE8CMGTTwWvniC6qaXg7GGDYe1GD5xkI8M9AXT/b3dryVhK8vNRVevpyEkExG2+WboCCydrRoQYP9uHG8rj5fZcGSTRrMOjIN8kPbKHmFbxG/YQNlQj37LK9taspw7VqZljFXbxoQW9+V3wmJKIREREQeRLRFHPae1mLzYQ1ylRYM6uqFpZVkUqVmmfDnLhX2n9GhTwcP/DhZ4MJ6BQX0s5IkAr2Rw4pNSmw/psWoAT747NUgx3uSGY1UvuKrr2jmvn07DztdjowM4OuvgcWLKaMHAH75hZe2JXdQr17ZKvZdu9qN6chTWvDV6jxkF1jw9fjQO2ICq0StpoayEgkVNu3alV9LCkAZYsOHk/tw82Zgz57qF1GtgB8XXUOfy3+j+UsDgfr1KRibb377jfrcdenC/7oBss7dvl2mW/uVFCOa8jkxYUy4itilKS2EhEYUQiIitRfGKH5g8xEN9sfp0DxKgWcf8UW3Vu4VWlCuJBuwZqcK8df0eLS7F1bNCEeQr0y4B+OlS2Q9SUqi+JMKOHdNj3m/5SMy1AXLPwqjPmmOoFZTAbpvvqH0YIWCisbxfTyMkXXmr79sIqhXL4rrEIKDBym9OTycUqm//faOYzoYr8M3a/LRv5MnPn012Pk4Lq2WSn2cPWuzdlTRf8ppGAPGjqUYpF27SKS89BKvmzh5QYtz1/VYkf4bMCmO13WXcPs27f/UqcLdKwkJ9LOUJfPqTSNeeozHWkjWblt30yIkNA6eD1EIiYg8QGiKOOw5pcWWwxrkqywY1M0Lyz4MrzAmhDGG01f0WLNDhZQsEx7v441J7bLgtXk5cEFKVdH5xGKhmf/339Ps382NBls7MzdtEYelGwpxKF6HN5/wR98OHo67AZKTaSC/csX23kcf8W/RAOhh6+tL1XgBOpaFC4UZFJcto4ythx4C/viDsqtKCRRNEYcf1hYgPkGP6S8FoV2TamQU6fXAsGEUg7R2LfVTFMJSMH8+rX/ePCpIyzMFagu+Xp6Ot/d+CK+5M6l3nxD8+Sdd10JmWlmbRxdbhIwmhqRbRsTW5zGewJpddbeE0KlTwne6Fy1CIiIPEBwH3LpFD8SEBIqrKO4NxxjD1RTK/Np/RocWUQqMGeyLLi0rtv5YLAwH4nX4Y6cKWj2Hp2LyMTBzDRRvr6PU3ObNgePH+R389uwBXn4ZuHnT9t6nn5Yx91s5frEI3/yejxYxCvw0Pdz5NiING9K2iptTonFjYNKk6u97ZSxZArzxBj3Un32Wat+0aMH/dubPp+ytRx+lzC03N7IGFXPuuh5zV+WheZQCy6eFl7QRcQqjkTK29u6ltkEjR9L7fIug3buByZOBp5+m4ok8YzQxTF+YhR6X/kGvekXUB1IofvsNaNuW/yDy0iQkkPuwITWWTLplRIi/C3w8eQ6UBkgIZWaSxVEIrELowAFBimaWQRRCIiKg2A0fH/4LnAHULHb/fspwcXMr+9Pfn9wjNRlAjh0jt861a/QqKqL3hw4F1qwh689JLTYf0aBQzWFQN0+7dX9KYzBy2H5ci7W71fB0k2BUbwV6ffESZJ/9a1vIz4/cIXx/Z337At262YRQp053DIJKjQUL1xUg/poB40f5o3urasziOY4ytb76ihoD79sHLFpErjE+YYxa6MyYQQUG//iDhISDD1+ntjNjBm3r6acp9siadiyXw2hiWLm5EFuPavH2k/7o1/HOoGmHMJvJqrFlCwVIC2XhuHmTjqN5c9oOzyKLMYZ5v+bBK/0GXt8/HYg7LZzLKjGRgtfnzRNm/VYSEoDo6JJSDFeT9fxagwCbaywzk0TwxIn8rt9KaYuQ0BiNDi0mCiGRe8+tWzQDHTCAUlv5JDeXZlF161LRsJYt6WerVvRgqcmgFRtLg0Vqatn3Bw0Cfvih5g/fNm3ooXTuXMlb7JVXcGXiAmz+uwgHzuShVYwCLwzxRZcW7pVWptboOPx7kFLg64fLMf5pf3Ro6gYJAAwfCmzZRAJCIgHWrOHfhWQwAK+9RkHLbdtSfNDPP5d8/4wxHDijw/drC9C1lTtWTA+HV3UtGi++SNt55x0KYN64kX/Xi8UCvPUWBUePHUs/XVz4d79wHBXr++47yqb68ccy12xyhhGzV+bB11OKZR86ET9VHouF0r7//pu2NXYsP/tfHp2OMtEsFuCff+xmutWU37arcCNRg+9/Hg7ZuFdKKjALwu+/0z3z9NPCbQOgiVApy+nVnRfQ5OFWlXygGlgtQmfOkFgVSghZi8qmpQlreQJslb6rgolUilKpZACYUqm817tiF41Bw/AJGD4BK9AUCLehf/9l7O+/GdPrq78OjmPMYGBMq2WssJCxnBzGMjMZS01lrGlTyllo146xDz9k7OBBxoxGx9ebl8dYfDxjGzcy9sMPjE2axNioUYx1786Ym5s1H8L26t6dsU2b6LOOYjDQfn38MX3exaXsOuvUYeyvv+5Yp9FoZBs2bGBGR49HqWRs7lzGQkNpvVIpK3ALYH9P+pON/SyDPTE1na3YVMAyc01VriqnwMQW/Z3PHn0/lX285Da7nFzq/GVnMzZ8OG2jTx86ntmzHf8+HOX2bcZ69KDtfP45Y/n5ZbaTU2Bi0xbdZs9MS2dxV4qqv53CQsb69aPtfPWVQ+fW6XPDGGNFRYyNHEnb+egj564hZzCZGHvhBdrOxIlltmOxcGztbiV79P1U9tceJbNYarAPHMfYyy/Tdr74gocdr2Q7o0czJpEwtm1blYtX59zsj9OykZPSWMbgZxjz92csN7cme1w5HMdYbCxjffva///Ro/xsx2JhzN2drgHGGLtyhT0/+gC7cKMGz2J7aDR0DXh5MRYUVOl1XaNxZ+NG2zPz559rts+VodEwJeDQ+C1ahBxl7FigfXuaXbRuTSqWT3MrY+RjDgoi60VkpO1l/TskpPJANp22TK+xCunYkVKWvb3p5eNj+93e397eQE4OxVz4+VEMwejRQM+ele9Pv35kNjabqTiaI01xzpyh1+zZdLxffEEF1irbzogRlA1UGjc3+s7q1SMrU0oKzURGjQLefpvOpbO89BLFA8hk5NaZMoWsAJ99RpVlZ8zgp6Ls5MnA4sXQDB6Bw09Mw749Gbjg2wztGnrjxW6e6NK8cusPQAX01hanwD/UzgMLJ4WhXvkU+PnzKZV8wQL6TqZPF6b434oVQFwcZVU9/ji9N2UKGGPYdlSLpRsK8XBnT3z4Yg2bfm7cSBlVv/0mbODqoUN0vX3/PVmFhOLCBbI4fP65LY0dQHa+GV/8kgeNjsN3E0LRMKKGLpKkJApanjFDuDgqgGb/u3fT8TzyCO+rT0gxYP5veZj9jBzhfx2n+LPAwMo/lJdX9TKVfVYup7iw8ly9CkybRnFxNaWwkGpfFbfB0MyciwyfaWjEs/EcANCgAVmDNJo7rFC8sXmz7fetW8mCKwT799Pzv7zF3g4SxqyOQRF7qFQq+Pr6QtmgAXxKB3kGBtpEUatW9LNZM1scgtlMD5X33qMBuSoMBuD118lcaH3pdGWXkcupgmwpkaStEwyv/A8AAAXLQuD35LPUkyY6uuJtTZlCsTNqte2lUpX925HLIjKSBpzXX6fU1/J8+y25veRyEgyV/fzmG3rwe3lRts/IkeRickRY/PUXHU+9evSKjCRBKZGQ+OrenTJfxo2rmevt6FF6+PXuTWIRICEREWHr1WMHk8mErVu3YvDgwZBXUVJeb+RwfG8q9pw3Iy5DgeZRCvQNL0CPIY0cCn69epNS4M8k6DGkuxce7+uNYL8K5jtaLT0krEGeQtUQ4TgKwC6V+puZa8bXv+cjt9CMic8FollDnuJ3btxwyq3nzLkpQ2Ji5fcYXyQlUX0akPtwzykdflhXgEd7eOH5Ib52C2FWi7Q0mnAJXUMmN5eenQ5sx5lzk1NoxhtfZOOV4X4Y0NmTXCIuLpW3Nzl5kmLhZs928iDKUb4IocFA9YQCA0n48cn58zgz+A0s7vohls5rbv+5WxOeeIKepwA1162gnIHWqIXXHIohLPigAH6OTMAB+q7q1QOUSnKPurtTtqUQrTYYgyojA75160KpVMLH+sy2g2gRchRrnMbFi/T7uXPA+fPA0qW22iEyGSl3q0DasYPSaF95hWZ0lXVrVigoZsIKYzQTKC2M0tNtv586BaxfD1j0gLV/oFpFgmLBAhr433kH6N//TmvK3LmVHytjdEylhZG1TgZAD8zevSkYuHdvurDt8e67lW/HSn4+ZSjNmUNWpNLF4hyhsr5EHEfZCXw0O+3W7c73eJjZmswMpy4XYV+cDkfPFyGqjhv6dvLEe209EOArA1B5815WnAL/xy4VbmaYMLKPNz4YHVi1cPL0LJvpItQgKJWWiCALx/DvAQ1Wbi7E8Ie8MfqRatS4qQwh0uPtcTdEEFAiglRaCxasKcDVFAM+ezUILWN4aLRZGkcma3wQFOT4sjk5Di1WZOAwbVEOHuniSSIIqPoZEhdHMYlff+34/lRE+efrlClUEmLo0JqvuzwzZuBqSCs0vX0WSPflVwjl55NV1cqRI7zXdYJaTckLb7xBYnXpUhJFzlwXjiKR3GlMqABRCDmDjw8NhqUHRI6jWdv58zaBdOwYmbStLFxI6vq11+gmccQqIZFQ5pG/f8XWBsaArFRgaQPbe9ZBx8sLOH2aHnDOpnVKJPR5Ly9bINvJk+Ti6NWLgo/5HDQDAigFWQiEbnhZTSwcw7lrBuyN0+JQfBFCA2Xo294TY4f6VZr1VRqzhWHfaR3W7VFBW8ThyYd9MPt1T8crLt9lUjJN+OrXPJgtwDfvhSK6rthTxRESUgyYviQXHZu6YdmH4fB0vw/Or8lEzxeh6sDExZEb+6uvKl2M4xjmrspDeJALXnS0uGB8PPDwwzQAt2vHw86WYutWmogC/GddxsUBGzbg6sAl6JKyF0jnWYwnJpKLdORIKs3Bd5YlQPW2fH1tLVuELDkA2IwUVXB/jhL/JaRSmoXGxNhqbgBkhXjoIdvfRiOZHC9cIFNsp04137ZEAgSWUtLbtgNtO5G5kW9ef53/ddYyGGO4lGTA3tNa7D+jg5e7FH07eOL7D0JRL8xx07BGx2HzYQ3W71cjyE+GZx7xRc/WVccN3SvMFoY/dqrw524Vnh3oiyf6ed+3+3q/cfS8DnNX5eGtJwNs1o6qUKv5735emqtXqU3FZ58Js/7ffqN4RAesuCs2KZGVZ8aC90Mda7p7/jxZyQsKaP3Nm/Oww8VkZlLmnRW+M+IuXQLefhtXC1vjhdx/yEPAJx070rXDcTQ+jR/P7/pLYzbzY6WvigfNIjRr1ixs2bIFZ8+ehaurKwoLC6v8DGMMM2bMwLJly1BYWIju3btj0aJFaNSokfA7XFhIFUet8TxhYcJbJ1q3FkYEiVQbxhgSb5lw+FoE/jiVAwagb3sPzH0zBDF15U41TMzKM+PvfWpsP6ZBm8ZumP5SIFpEK+5pF/iquJZqxLxf8+CukOLHSQL3LHvAWL9PjV+2KvHpq8Fo09gBV1hmJg1es2cLI4Q4jgLEp0yh59mAAfyu32ymRAGru6qK9e88rsH241r8ODnUsSD7ixfJ9Z6fT3+3asVvbEpSEsWEfvghueb4tgiNGYOcDDU0RT6ov201cDub3/UDNG4BlBQj5HPFahESmgdNCBmNRjzxxBPo2rUrfvrpJ4c+8+WXX+K7777DqlWr0LBhQ0yfPh0DBw7E5cuX4eZsHIqzDBsm7PpF7mvSsk3YF6fD3lNaqLQc6gdIMXmMH1rFeDg2cy3F1ZsGrNujxolLRXi4kycWTQ5D3ZD7W1AYTQyrtiix6ZAaY4f64bGeXk4f9wMBx5FLecgQEg8OYOEYFq8vxJFzOnz7fijqh1dxrjmOChNOmkT1koSIX0pNpeyevXvp73Hj+G3FYDIBzz9PNaysVBJjc+GGHj+sK8C8d0MrTgYoT1gY1Uh65hnad77dYt27UyylVErhEefP87t+AAkJSjTWXYcsuCkQLEBcjQMNkHlBFELVY+bMmQCAlStXOrQ8YwwLFizAtGnTMKxYlPzyyy8IDQ3Fhg0b8LTQBbDuEgy27C6tSQu58f4eIB9ksgvMOBivw8EzOmTlmdGjtTteftwTTetJsXv3DTSoE40is2M3JscxnLhUhPX71biVY8ZjPbywdKQvfD1lAIzQOlgx9V5wMUmPBX8UICxQhgUTAxAaIHX4uO8aV68ATZrCZDJBb9FDa9RCzni+dxKuAm+9Dfj7Ac89DRirjlfQGzl8uToP+SoOX4wPQoB3Fef6+jXaxpEj9Pf4NxzajlOcPw+MGA5k3wbkAFxkwHNP8b+dxd8D504D168DUglM/XtDHxd3x7nJyjNj2rJsvPGUP+qEmaA1mhxbv487sGIpUCeEKo1nZvJ7DIwBf/4KPPwQ0KwRvXj+js7lAw19b0HL93dvJS+TzrG3otJ915pquP37TAj959LnV65cifHjx1fpGktKSkJ0dDTi4+PRpk2bkvd79+6NNm3a4NtSPXpKYzAYYDAYSv5WqVSIjIxEbm5upel394rb2tuo+23de70bIiIiIiK1kNvv3nY8fd5Kz54UMlI6qUgAVL/8gqCXX6696fNZxZ2gQ8tlaIWGhpb8zx5z5swpsT6VZufOnfAQqntxDSg0Fd7rXRARERERqYU09WyKI/uPOB+naC3FsnUr/ztVCo27Y2P2PRVCU6ZMwRdffFHpMleuXEGTJk3u0h4BU6dOxfulGkFaLUIDBgy4Ly1CjDH07t0bBw4cwKD+g+AqF1OShUBv5HDysgEHzxbh3DUjmjV0Rc82bujSwg1eVaQzm0wm7N27F3379r2jMFxatgn/HtLi0FkDujRXYFgvT0TVuY/cm0cOU/2rhlF2/60u4vDzRhXirxkxbrg3urV0Mlj/xnVg0mTKiDkTB3gK0Bw3OYniZ6zuo7ffBqZ+CKDyc+M0RiPwxxqq2G2tgbN0KfDoY5V+7EKiAV+sLsTTD3vh0e5OZBrNmwd8PR8YOoxSq48d4z8hIz8fGDiQft++nWq/RETwG0irUQN9+1EW0e5dgBtdQ+XPzbKNStxIM+OzcQHO157avo1q4iz4llLD+YbjgI4dgDZtqVSKAKSv2oipp2Pwy/vukBR3oeed5cuAjz+mJq+MAT4VlyQwmUw4sv8IBgwY4Py906ULZVrn5QHbttVwpysmd/4Ch5a7p0JowoQJeKF0uqEdoqLsP4CrIqw4MDE7OxvhpZq6ZWdnl3GVlUehUEBhp36CXC6v+YNSIOr41YGf3A/+nv737T7+F9HoOMRf02P/GR2OXyhCTF1X9OkQjI/GeMDf23H/tslkgpvMDX6efpDL5WCM4ew1A9buVuFSkgFDuvvi14+9nW+Yefs2Zb0IEdh4+TKJh9u3qU2KnYHv8FkdFvyRj47NvPHLdD/4eDrh89frqYDmnDkUKDt5MhAigIs3Lo6CbjMy6G+5HHhjfEkrmvLnpkZ4AlB4A4lpVCvMwwN4fFSl4mTnCS1+WKvG1Ocj0b2VExbnX34BPplFaeZLlwI7dwK+PAfPms3AC48DyekkIusJVETy3Q+AhCSq3B5oe1aXPjfbj+tx5pILfpxc16l7DwDFo3z8OVA3ChgzVpjYlAMHgIRk4LMvHGtzVA1OXtWjZe4N+DcbbQtU57safKEOUBuA4DpUkHfhwgoXNZlMkEgk1RsbdToqDHz8OP3u62ANKCeRaB1runpPhVBwcDCCg4MFWXfDhg0RFhaGPXv2lAgflUqFEydO4HWxJo6IHYr0HC4kGnD2mh7xCQYkZRjRKNIVPdp4YNxwP4QGVON2KRWCZ7YwHIjXYu0eFdRaDo/39cb0sUHwcHMi+4Yx6qGzZAkVhNuyxfl9qoysLOCTT4Bly2iWu2vXHQ9ajmP4eZMSO45rMXlMIDo2c9IKdOAAZR1du0Z/y+X00BWC9u2BCRPoBVCX8MoqvNeEnTuBV1+lqu5ffUUZVhWIIMYYVm9TYeNBNb56JwSx9Z0oXrd/PwmgAQOoG71EYrPa8MmkSXQMv/7Kf4aVlU2byIIyfXqFtdXiEwxY/q8S37wX4rwIAmj/L1+mSvxCBej+/julyz/6qDDrB3A1xwVNZLdtIujECZoElWpdU2MKCih1/tQpynb87jthvjOzmXqaMUYie/Bg/rcBwKz7DwghZ0hNTUV+fj5SU1NhsVhw9uxZAEBMTAy8ius1NGnSBHPmzMGIESMgkUgwfvx4fP7552jUqFFJ+nxERASGDx9+7w5E5L7BaKICh/HX9Dh7zYCEFAMaRriiTWMFXnjMFy2jFc6LlOvXyUVx7BiZfRcuhNbNF3HJIfjt09sI9HXBqId90Kuth3NFBfPygFWraPafkEBVzi9c4C+FWacjl84XX9iqsfbpQ3VXSi+m5zBrRR7ylBb8OCnUeSsWALRsCfToYRNCzz4rnDjZsAH44ANyhxQUUJ0XITh3jlq9tGxJ9cO8vCpsWGkyM3z9ez6uphjxw8QwhyuJAwCuXKEmw7GxVAVYKAvw6tXUruf99+03FeUDayPndu2oQakdCrQKrFhVgKnPByGqTjXc/gYDNZPt1AkQ6rlvLZY7YsSdddxUKpqw1LSFCWO4yoXihbC8kr8xdSodG59CqLCQhNCiRUBRET1rmjXjb/1WjEbK2gOoibFQQui/YBFyho8//hirVq0q+btt27YAgH379uGh4grOCQkJUCqVJctMmjQJWq0W48aNQ2FhIXr06IHt27cLX0NI5P5CpQIuXoQ5vxBX0y2Iz1IgXumHy4Yg1JGp0LZLOJ7s543WjYMdamxaBo4DfviBrAHHj5NgAYAGDZC16QDWH5Rj27HbCPX2xJQx/mgb6+F8YOGmTdRuoHS5+B9+qLjHW3VQKGiwKJ1EOmtWGWtQRq4Z0xbloGEdOb59P6T6rTwuX6bqwV27AmfOkFARglOnqGZM164kIm/dEqbGTno61Qny96fO2tZCenZm0hodhxnLKH7o+wmh8HLmert9m7bj5kaWQIHcCYiLI4tdv34kjIWAMWo5pFSS1clOlWGVlsPGM1EYNdAbXZyNPbOydCmQkkJWp4ruO7OZ3GfVbSmxaxfFUo0adef/3nmHxGQNhZApNR2Jvo0Q27w40Wf3burZNW5cjdZ7B4WFdP3++Sf9feaMMEJIrbb9fvAg/+svxpLtWL+6/4wQWrlyZZU1hMpXApBIJPj000/x6aefCrhntYjyXZb5RKcD3nyT4kX8/OghX/pnnz6Ak25UC8eQmG7CmcsWnF2vxXnWEEHabLS9dRRDbx3F9PoS+K9eAkTUoCO9VErWjSlTaAYFIKF5f6wdtwwnfpagX0eG794PwvnTZ9Ayumn1qkD37Uv97Xbtor8ffxwYPbr6+2wPk4l6JOn11OizefMyfaTOXtPj0+W5eLyvN54Z6FP9atYJCVRsNCqKBvMtW/htc2Dl5k3gsceoV96GDSQehBBBKhWJE42GTPyVWLay8syY+mMOmtR3xfvPBDjXOb6oiL637GwaOPgUwaW5fZssG2FhNBgKVQ3/t9/IVTV/vt3zbzIzfL6iAHUDNBjRu0H1tqHRAJ9/ToKunGWzBMZIrHzzTfW2AZBbLCiIWneU5u+/SYBbM6RqQNLh6wjSyuHbvpnNGgTYrCp8UVBA15q1hEx8PP/PGoDOjUxGY8qpU7RNAboimF0dM3r8Z4SQiANYLMKZygHKGnnzTTLFNm5M5nnr75GR1fclM0aVa2UyoLzYjYmhh6UD3YkZY7iZaUJ8ggHxCXqcu66Hh8yCtvqr6HtuLSZc2oZgbRbNDD/8kGJhavKgN5mAxYuBTz4BpzfgeP1+WNvpLaTVa4vhMX545yUv+HrJYDKZUO0as0lJZNK/dIk63cfH0zb5DJA0GoEnngB27KC4AIWizCxw40E1ftqoxKTnAtC9dQ1KSGRnA4MG0TW6dStZUIR4yBYWkjgxGikeSaA4RJhM5A67coXujUoEXUKKAR8tysGwXt4YPchJIclx1NvrxAkSde3b13zf7WEykQsxN5dcu4GBwmwnLQ146y1q4GynnxVjDN/+mQ8JgIeapkGyK5Oslc6ex2+/JWE3e3bFy3z2GZ27H390bt1WdDrg33+BMWPKPnszMmzWGh6al169lI8mt7OAli+QwIqLo39UUgqmWhQWlhVXZ87wu36AJls+PjTJ9fAgEZqZSZMjnjEXOVZ4VhRCQqLV0iDPd8+ZimjShC6mzp0pPbFzZ4fL+tvFYiGz8vXrtld+PrmBdu60Lde2Lfmqhw51bIA2mWhAP3QIOHyYXrm5ZZfx9qYAynfeqfBBwhhD+m1zSXDz2Wt6SKRA23pAl5zTeO3oUkQc3waJXE5BjEXBQKaZgidrElzKGLBxIzBpEgyJKdg54mP81WgUpKkp+N+wCDw8vJ7z6b322LmTgnulUvo9MpLiahwQhQ5jMtE2Nm+mAOnnny+x/JktDAvXFeDEpSJ8815I9WI0rGi1ZKGxWjQaNODtEMpgMpGou36dLGgVxOnUGMYoMHrXLsrg6tu3wkWr1Ti1NFOn0uD37beVtp2oMR98QMJxzRrqW+gIN2+SFczRBpocR2nsFgtNeuxYmP/aq8b56wZ8Mz4Qhw+AMgovXnT0KIj8fApYHzGi4gbXy5bRc6smz4JNm+jafuYZ23scR+1IrD3N+BBCWRI04dLJslk6nopvi1BuLtCmDU1M69al88O3J8DNjdZnMpEgKm9J4xGLQRRC9x4XF2rsV7cuzeYfeQRo0cL52TxjZILPzb3zlZdHKn7gQHq47NtHLytRUVQX4rnn7F/MHEcztNJix/pKSqKL1YqPT1kLSr9+9JDq37/yY1KrKX7m8GESP8ePl7iREBtLJv+ePUm8dexIs9JZsygFuRxZeVbho0f8NQMMRoY2jRVoGyXD8y7xqPf3UkjmbaPvolMnSv986ima3U6dSjPROnWc+/5Lc+YMMGECbp9KwNbeb2PjoKfQoIEnXu/ng04uBkib8hC4yBg9xKdOpevnn39swoHPwEizmSwy//xDM+KXX6b3pVIoNRbMXJ4LjgN+nBQGv+pk61ixWGigiIsjASmURYMx4PXXKX5i9Wqgd29htgOQy2XFCrIoPPdchYs53Ti1PEuXAl9+SRMCZzLrTCbnrMMrV1KG0MSJJIwd4cABuk9LT4qqYtEiOj/LlwN2auEcu1CE37ar8P0HofD5bSk9Ozt3dnz9Vr74gp47n39u//+bNlGMElCze+r332mC0q2b7b2FC8t+J3wIIUsIhoSYyY30v/+RlSs0lH+LkFpNz+Fz5+g5PHdu2bhBvrBYbEJIQMwGs0PLiULIUWbNIiFhNtMJNJnK/l7+b+vvajUFA+7dS+moEREkWgYNotmKVViYTOSqycuzL3bMFZxQV1e6EQcOLDsra9CAZl4vvHBnoN5HH1HA6vXrQGIimSqteHoCjRrRAPz44/S79RUcDDz8MBAQQAKoqgHto4/I3XL2rK23TPv2NFj16EFNCkNCbMvn5FBqcKlU3XylBfHX9PRKMECpsaBVjAJtY93wRD8fRNWRQ/rhVGDyEhKEdevS9zxmDFnISjN7do1cSpZ338PxjZewpc3LOPdCV/Tq4I25fX3RuJ71e+ep8Odrr9EAOGoUDRhCVTR/5x3KPFqwgM5JMckZRkxbnIsOTdzw1pP+zsWy2GPaNBJAixeTy0oofviBgmJnzhTG5WZl/XqaXIwdS9e4HZxunGqPI0eAN94gS5q1I7sjXLhAA/2HHzq2/KVLdM0NGEB1nRxhyRKaVFSQ7WWXmzdJaD36KD2bypGYbsTcVXmY8XIgIhfPhumLL8g61aOH49sASBx89x0JVHuBvseO0eSI4+jv6gqhggIqBjh+vG2SqdORlaZpU3KZAjUWQppcNW65hSMmOpDi9nx9aTyaP79mFv/ymM00Xrm7UwxPeLhwMWLW8UxgIWTRO9aHThRCjjJvHgkNuZwuDrn8zt/t/a/0heTiQhahzp3JAlL+f99+SxdGUBC9mja1/V7+FRhIPz096aLaupUu3M6d6QHdp0/F5szNm0nlx8bSQ6m02AkLq1gsMEbmZEerml65QnEgH39MD7POnWl/KyI4GEr3AJyL11FKe4IeWXkWtIhWoG1jBYa86IXG9VzvTDs3m8llMGZM5cddTRGUlWfGtqMabGWvwfdRHR59tC4+7BnoXMaPMwwdSg/n99/nNxaoPGPH0jX29tslbx27UIS5q/Lw4mO+GNbLq/pB0eW3ExJCriQheeIJspw6KgCqS79+5LadPt3u+dEbqcRAbqEFP0wMQ4CPjNwnR4/SRMJROnQgoTVxouPxd2vWkGXvr78c305sLLmIXn216u2YTDTwW2NqihtaO0S9evQcHTnyju8tX2XBR4tz8MpQH7RbOIlErTV4tnt3x7cB0LW2apV9lxhjFLDfo4ct+aC6Qsjbm56lpYPwPTxoQrtoEbmZfXxqLISuZQENAhncni2uiG2ND2rfnl/Xr0RCE3aLhSxpQpW0ACjWbdQo4TIfizGPfw8YtaHqBZlIpSiVSgaAKZVK5z9sNjPWpg1jI0Ywtno1Y/n5lS/PcdXaR6PRyDZs2MCM2dmOfaCa2xECjc7Cjp7XsR//ymevzMpgA95OYe/Oz2IrNhWws9eKmMF4b/bVZObYwXgtm/xDNhvyXir78pdcdjlJz7hqfHcl58doFGBP+YHjOPb7DiUbPjGNxV0pute7c3fQ6ZgxN5fXc5OnNLPXv8hk0xbfZkUGC715/TpjLVsytn07L9uwi8HA2DvvMAYw5u9Pf/NNbi5jffrQNgDG6tfn5VliMHLszS8z2Q/r8hlLT2fshx8Yc3VlRnd3Ojd8H4vRSPveowdjw4czdvMmv+vfto2+ny1bePl+ft+hZPN+zbW98e67jHl5MWax1Hjddtm3j/Z/375KF6vxc83Hh7EJE6r3WQc5eDrbofFbtAgJidlMcTGVWUFKU9PZt6OtFoS0MlSB3sjhYqKhJLj5RroRMXVd0aaxG8aN8EOLaAXcqlufhgcyc83YekSDbcc0CPCR4dEeXpj+UhA8q+gn9l/GYOQw/7d8XE8z4oeJoagTfI/btPDdNsAe6ekU0LphA2+rTMk0YeqPt9G9tQdeG+kHmVRCFoPRo8nSUklAdY3IyKB4DmsvteHDHQ9edoaTJ8kKYsXR5IhKYIzhq1/z4O0hxWsj/QCpP1mdjEabBZHva2HtWkoCWbSIrE18J7OsW0eWjqpiJx3k6k0DOjUvlVoeF0cJKkKVMrEGYAtpEeI4csMJHSNkcSy+SRRCQqJQ8BIo91/GaGK4cpPS2c9eM+DKTQPqh8nRprEbRg/yRcsYRZVNS4XGbGE4er4Imw9rcDnZgD7tPTDr9WA0rufKj2voPia30IzpS3Lh7y3FDxPD7q3gM5spOHPKFOFiEwASDI8/Ti4ungTD2Wt6fLIsF2MG+2JkH2960M/4BLDWMBs7VpjSFkVFFKdz4YLtPSGaigL0fU2ZYhsgeajU/Ot2FZJumfDdhFASjtnZ5KYbMoTifPhuyMkYXWOtWlHyCt/3t8lE4nrYMN6uras3jRgzuNiFZLFQxu0rr/CybrtYhVCpHp28Y82oFlgIcRbHlhOFkAivWCwM11KNJVldl5IMCA2QoU2sG0b28UbrRkHw9RKo34+T3LptwpajWuw4pkGIvwuG9PDCJ6842fvrP8zVmwZMX5KLhzt5YOywYguGPRijTL9SBRZ5p6CAAljDwoQVQUuXUpCvyUTJCjxAjVPzMfn5QGqcWlBAbSlKD+JPPMHLtu7A3Z3iiNatI8uGXF5x8cCa8vnnwPnzVATTbKY4xxqw/4wOG/arsXBSKQE+dSolbyxYIIxVcMsWSsX//Xdh1r9vH6XN83S+cwvNUOs4NLAG21+/TiJCqMxLgCyMXl5lrX98Y+0AIbAQMokWIRGhMVsY0rJNuJFmwo10IxLTjbiaYoSvlwxtYxV4pKsnpjwfiEDf+0P4AGShOnpeh82HNUhIMaJvR0/MeTOkVObXfxCVyukHyp5TWnz7Rz7efjIAD1dW20atptlnt27CCaHLl2kGfeMGZWQJgdEIvPsuZa4BVMvkkUdqtEpWUeNUX1/Kvjp4kAatgADh3GJmM2VHyeXkhl+1ShjLU1wcZV2+9BIvfaESUgz4+rc8zH4jxNZr7cQJKkkwdSoVUjU5lvHjFHPnUkkRoYTpunV0LzoTFF8JCSlGNCqdIGINlBaqCS5AFiEhrUEAPbMA4bPGRCEkwieaIg6J6UYkppuQmG7EjXQjbmaa4OclQ3RdOaLruuKxnt74YLSrc00k7xJp2SZsOaLBjuNaRAS5YEh3L3z2ajDc/8vWn6IimqU3aVJpLZvSlO4c/8VbIWjasBLX7YULVLPkxg2aoQvBxo1kPdFoSJwMGCDMdg4coHpZVgYMoFlvNQfbShunSqVU+8dgILdVZqZwFd9nzaJ08HXrKFV81iz+t2EwUAZUeLhzafwVkFNgxrTFuXj7yQC0iC6+/jiOshfr1BEu6+/wYXKLLlokjNXRZKKaXEOH8hYScfWmEU3ql5qkxcVRzKlQhUIBsgjdLSEkdNaY6BoTqQ6MMWTnW0j03DLhRhpZenIKLagXKkdUXTli6rqiX0dPRNeV3zduLnsYTQyHzuqw5bAG19ON6N/JE/PeCUF03btk/eE4Kr+v1/NfC2jvXgomVasp8NMBrJ3j85UW/Dg5FMF+ldz+K1dSDZuiIprd8lmvxMpPP5G1yVqwbeBAxxMLnKV/f4o5cXenpIKRI6u9qiobp/7+O71mzSLrRlJSTfa8Yo4doxikF14gwQoIM8DPnEm1hnbsqPHAVWTg8NHiHDzS1bOsJXLFCioWuGaNcJX458yhIoQvvCDM+g8coJpvPFqbrqYYMbhbqe8pLo4qP1e3nZEjZGZSMLaQ3CWLkJkTLUIiVWAyM6RkFru1bpmQmEaWHsaA6LquiK4rR9eW7hg9yBcNwuX8tI24C6RkkvVn5wkt6oa44NEeXpjVLhjuCjvWH8Yo7sFopKrWfKDXU9uF+fPJ0nHhAlXU5oPcXGqFsGoV/T1rlkOzz9Kd4xdU1jlep6MYmhUrbO+Vbh/AJ2PHUgXb77+nv3kIvq2QFSsog+u776jOTDXL+lfZODUlhQRkjx5UdFQiEabZq1pN2WgNGtAxCcXJk1Sledy4GlvrOI5h9so8RAS54MVHSwmqwkISjL17U5yYEJw/T7XW5swhy6MQrFtHcTU8WTU5jiEhxYD3nwmwvkGB0kIJOSsZGby4PytFdI2J3AtUWgsS062xPCYk3jIiJdOEQF8ZYopFz4g+3oip64qwQNn9ly3FGAUhVtAI0mDkcDC+CJuPaHAzw4SHO3ngm/dC0DDCjvVHrQb27KHAyW3bKIbDmnpcE/LyyOz+/ffU7BGgHlF8BR1u3kwp39a+bB4etjYBleBU53i5nBrr/vMPDVAKBW9BxXdw6BAVznvrLeDWLSruKQQ3b1IRwL596diqmXZcZeNUi8XWq231amFn7e+8Q6Lr0CHhglr1ejqeyEgqhFhDftqoRE6BBQveD4G0dGD+jBl073z3nXBlE774ggbdUhXUecVspnvmscd4E1q3csyQySQICyy+jm7coGeXkIHSWi1tQ8jUeeDuWYR0Yq+xWgnHMWTlW0pcWjeKRU+ByoL6YRTL0yhSjkFdPRFV1xXeQlVHri56Pd3wV6+WfeXmAn/8cYcQSs4wYsthDXad1KFBuBxDenihd1t3+xaP48cpZuPgQVtsSFgYCYyaDiZGI8XrLF5sa1ny2GMkIipqj+IsgwdTH6gffqC/x44lEVcJ/x5U42dnOsfL5eQWKyykQeP2bWH8+BoNzWyjoymA1WwWZjvWBpgSCVmFqimCHGqcOn8+uUd++UW4prIAVY1euZIEhJCZfB9/TPfe7t01vj92HNdg10ktFk4KLVsn7OJF6s31xhuU0i4ESUn07Jg0SbiYlIMHqUUQn26x4vigEsFduqK0UNyN1HngrmWNmdUah5YThdB/GKOJ4WamCQk3i7D/Sl3svp6LmxlmSKUSRBfH8vRu646XHvNFvTB5zXtGAWSV+ecfupDLv+rUIVdNTS7uw4dpsM/Ls70XGUnxCU2bAqCijAfOUOZXWrYZAzp74tsJobYU04ro1Anw87OJIHd3CtatV6/6+2vF1ZUyOSzF0XmeniRY+Jzhbt5MrQ2GDiVLwPjxFS5qtjD8sLYAJy872Tl+40ba74kTSaCUrk/DJ5MnA8nJdBxCxQUBZJ3bv59EUDXPs0ONU+PjSWQ/9ZSwfc7S08lN1aWLc32+nOXoUbICvfFGjdPxL9zQY+G6Asx7t1xcGmMUIO3vb6u3JATz5pHAf/dd4bZhLV9Qk0725biaYkCTBqXc3nFx9Mwq30ORTzIy6OfdCJaWSIS99wGYNUUOLScKof8IhWpLmeDlG+kmpGWbEBrogobhLnB3NWFQNzli9/2NYKkOErMUSJUC6VKaBctk9JAOCqrZjvj7U+DkN9+Uff+FF2jgrMmFrVLRzV561t60KYmgyEgkphux5YgGu09qEV3XFcN7e6NnGw/HYpcSE2kA2buXxFBhIfDrr/zEBTFGqcXTptGgERpKszY+BJaVU6dIIHbqRLPbo0cpDdgO1s7xjAGLJoc5HtB+6xZZTzp0IOuWVAq0bs3fMVjZvZsE3cSJzveRcoarV6kA4NCh5OJxEocbp+p0lPkWGkquUaHcOxxH95nJRNeuUPWWdDraToMG5FKqARm5ZnyyLBcfjA68s0TFunUkUpcudbwqvrNkZwM//0zXtRAB/wBNftavJ9eutT8aD1y9acSYIaUsWGfO0P0oZJ2tu1FVGrCV/BCqOnYxFo3OoeVEISQ0JhMFtrq50Yn39i7708+vjE+Z4xhu5ZjLBC/fSDdBpbUgKsIV0ZFyNG2owGM9vRBVxxWe7lKYTCZs3ZqNLu3aQb4pkwbl0sTGUhfzmoggvZ6sBatXly0U5+FBg1o1BpoS8vKo4ez335NAGTQIOH0aiIlB0fpN2J+kwOY1WbiVY8bALp74YVIY6oU6mI5sNtO6p08nq83y5XTz5eTUKHOozPrfeIOa0Y4ZQz+vXAGaN6/5uq0kJ9NDNiKCzoG7e4Wz9Gp3jrdYyJJhNFLmjhAtGgCyHL70EqV6C2kFMJvpfHh50UDrpDix2zi1IiZPJtG1Z49wAzpAk489e8i6JUQAtpVp06hw3/79Ncrg0hRx+GhRDkb28UavtuXcslotMGECTRjsdKLnjW+/pWfwxInCbePQIXIh8+gWM5kZbqSXSp1njISQkNZG4O5ahAR2iwGARStahO4P5HJyJ02eXPZ9iQT6V99E8rhpSNSacaNY9CRlmOAmlyC6riti6srRv5Mnxo2Qo16o/M6u6wAJlH376Pc2bWgQtiKTkV/844+rF8DHGLmqVq+m/jxKJVk5Jk+mB7JGQ+83a+b8ugG66ebPB5YsoVno449TDZG2bXHjnc+xueM47PlKh8b1zPhfX290b+2g9cfK+fMUR3P6NImeH36gG7yggARoTdFoqJ3Btm30HX/yCQ24fFpRCgooNshspqyX4OAKF7V2jn/pMV8M6+1kTMecOTTwrV5NxeyE4r336LwfPy5c9g5Ax3PqFMXThIY69dF8lQXTFucg0FeGb94Lqbz33bZtdF198AHQp08Nd7oSzp6lzKr//a9mk46qOHSIaka98w5lcVUTi4Xh859y0ThSjmcG2hnw5swhN9+6dcIFlSuVFH/01FMVWk95Yd06mhDWsEBnaZIzTAjyldmsuYmJdDxCxgcBZBHy8BBepNwlIWTW6R1aThRCQpCeTsFzBw7Qz6tXke8ejBtBzXAjqBkSm/RCYoNOuKVyQfi/FsTU1SOmrhxdW/kiuo4cgb5VZG2lptKguGULCRKAZvHNmlHcyLx5NJP76afq1YO4cYMGxNWryRrh7U0P4DFjgF69yKISEUHm5urUx0lOpoJzP/9ss0RMmQJdg8bYe1qHLXOzkO32Ah7xkmPRZH/UDXGyGJ3BQK6duXMpuPqvv0hkWeFj1p6VRf2Qzp0jK9PYsTVfZ3kMBgq2Tk6m89y4sd3FGGP4Y5caa3erMOOVILSLdVJgHDlCIm7MGGFnnJs3kzVj+nRyvwnFmTNkbXr22bLn3QHsNk6tiJwcugdat6brTSiKiqiEQUgITRqEcr1ptXQ80dF3WpWdZNHfBdDqOXz6avCdz7LEROCrr0jQdelSo+1UyuLFNOCWn4TySWm3GI+1wq7ctBMfBNwdIRQeLnzT47smhMSssbsDY5SVUCx8LAcPI71AQoKnbjskdv0GN/pHocjA0FCViJhmQWj9UFM8HumKhhFy+7VtymM2U/G0LVtsvXIAmrmPG0euJL2exJCLCz0433jDuWq2+fnAn3+S+Dl2jMTOgAEU/Dxs2J03+ZtvOr5uK5cvkzj5/Xfaz5dfBiZOxDVpBDYf1mDf0lto0kCBpwb4oHsr9+oFdx89Suu9coVM7vPm8e+uuHKFvvO8PBrceZwJlsBxtP8HDpDVrYJYmpLO8emm6nWOLyykQbZhQ1s2mhDk5VHxxDZthA3y1etJ0IWG2uoTOcgdjVMrgzE6nsJCEqlCNleeNImuud27q8wSrBHW4o8HD9Yo1m/jQTWOXijCwklh9i24771H39fcuTXY2SrQ68mVOGiQMHFuVo4coUkRzy07rt40okmDchWlFYqShBHBuBtVpQGybt0NIaQ3OLScKISchTF6KB08iKKDx5F4IQuJLISsPWFP4ebAafCSc4gOlyG6SQAeiXRFdAhDnaVfQvb1JMd97jk5ZHbfupWChQsLSdj07k3Wh8GDbRYCk4mWA0jJO5odYTTS51avpgHdaKSBav58YNQo/m4Ia5+i9evp+N9/H9o3xmNPqjc2r9EgT3kbg7p6YfHUMOcHcitqNbnVFi6kIM9du6pdNK9SDh6kwn8KBf0uVAXW6dNJMH75ZYUP2TKd4z8Idb5zPGMkpDMzSfwK2WTx7bdJDO3cKVz8EUAuykuXgO3bnRLAe07p8OPfKlvj1Kr46SeqGv7tt/zGg5XH6nqbMEG4ZqoAuUW//x54/30qBllN4q7q8dNGJRa8HwJ/bzsur61bgU2b6BkjVPAyQHGZ2dkk7oRk3TqK2Rs0iNfV3lFR2hooLVSrFiuZmUDLlsJuAyCLUN26gm/GUuSYRQhMpFKUSiUDwBI/+4Yde3oaW91jEpsx4Ec2etR+1v/VRPbCuJPs8w+PsTW/3mAnL+lYntJcvQ1ZLIydPs3YzJmMde7MmETCGMBYRARjL7/M2D//MKZS2f2o0WhkGzZsYEajsertcBxjx48z9uabjAUG0jbCwxn74APGzp2r3r5XxIEDjA0cSNvw92fcjE/Y5XO32Verc9mQ91LZpO+z2YEzWmYyczXbzrZtjNWrx5hUyth77zGm0fCz/+VZs4YxV1fGmjVj7OZNhz/m1PlhjLGlS+k7e/11Ol92uJKsZ/+bks6W/FPAzJZqfn/LltF25s2r3ucdZe1a2s7s2cJu59Ahum9ee83hjxgMBjZ13nH2+OQ0dvWm3rEPXbvGmIcHXdsWSzV31gGysxkLDWWsdWvG9A7uW3VQqxlr2JCxxo0Z0+mqvZqUTCMb9kEaO3ahgnXo9YzFxDDWtCljDtwLTt83VkwmxqKiGOvWrcL7hxcsFnp2/u9/vK5Wo7Owh99KYTp98bXFcYz5+9PzQGh8fRl7912HFq32+WGMschIGtcEZtbjPzIATKlUVrqcaBGqAlbcB+nli63Q2JyHhjFFaB7tg0e7BKB+a38oFKUzsUwATCVFM50iP9+Wyt2xI/DRR1STomVLm7+WMdhbuclkgk6ng0qlgryqGYNeTy4vk4kK/j39NPDQQ7aAxWrtvB2sXbH1euCzz2Ae8wI++LkI+Svz8HBnD3zzjhdCA1wAmKHTqqu/HY6jGAAPD7ICdehAfnu+jqP0dhYtonPz229kbXBwG06dH8bI/TlgAMWdqO/8bi4nGTBzeQ5eHemPvh2k0Gqq+f2dOEFWhrFj+f++ShMfT9/bq68Ku53iTENMn+7wdn76Nx+XUlww5205wv0NUKkcMKWfOkUuqm+/pYB5oThzhu79JUsoXszgmJnfaS5epOfB0qX0sxqNaI0mhokLsjCylyea1TNBpbKzjqQkOp7Zs8l9X1R5Ro9T901pMjLo/nznHbv3D2/k5lJG7tChvF7X567rEeanh8mggckAWnfHjvQS8v6xWIDOncn95sB2qn1+ADqW2FhhjweAxpOsu9ZxvCIkrKolajnp6emIjIy817shIiIiIiIiUg3S0tJQtxJXnCiEqoDjOGRkZMDb2/v+679VjEqlQmRkJNLS0uBzFwLQRJxDPD/3L+K5uX8Rz839zX/h/DDGoFarERERAWklxRtF11gVSKXSSpXk/YSPj899e0GKiOfnfkY8N/cv4rm5v7nfz4+vA/3l7rOOmyIiIiIiIiIidw9RCImIiIiIiIjUWkQh9ACgUCgwY8YMKIQs6iZSbcTzc/8inpv7F/Hc3N88SOdHDJYWERERERERqbWIFiERERERERGRWosohERERERERERqLaIQEhEREREREam1iEJIREREREREpNYiCqH/KLNmzUK3bt3g4eEBPz8/hz7DGMPHH3+M8PBwuLu7o3///rh+/bqwO1oLyc/Px7PPPgsfHx/4+flh7Nix0FTRk+qhhx6CRCIp83rttdfu0h4/2CxcuBANGjSAm5sbOnfujJMnT1a6/Lp169CkSRO4ubmhZcuW2Lp1613a09qHM+dm5cqVd9wjbm5ud3Fvaw8HDx7EY489hoiICEgkEmzYsKHKz+zfvx/t2rWDQqFATEwMVq5cKfh+8oUohP6jGI1GPPHEE3j99dcd/syXX36J7777DosXL8aJEyfg6emJgQMHQq/XC7intY9nn30Wly5dwq5du7B582YcPHgQ48aNq/Jzr7zyCjIzM0teX3755V3Y2webP//8E++//z5mzJiBM2fOoHXr1hg4cCBu375td/mjR49i1KhRGDt2LOLj4zF8+HAMHz4cFy9evMt7/uDj7LkBqIpx6XskJSXlLu5x7UGr1aJ169ZYuHChQ8snJydjyJAh6NOnD86ePYvx48fj5Zdfxo4dOwTeU57gv/G9yN1kxYoVzNfXt8rlOI5jYWFh7Kuvvip5r7CwkCkUCrZmzRoB97B2cfnyZQaAnTp1quS9bdu2MYlEwm7dulXh53r37s3efffdu7CHtYtOnTqxN998s+Rvi8XCIiIi2Jw5c+wu/+STT7IhQ4aUea9z587s1VdfFXQ/ayPOnhtHn3Ui/AKA/fPPP5UuM2nSJNa8efMy7z311FNs4MCBAu4Zf4gWoVpCcnIysrKy0L9//5L3fH190blzZxw7duwe7tmDxbFjx+Dn54cOHTqUvNe/f39IpVKcOHGi0s/+9ttvCAoKQosWLTB16lTodDqhd/eBxmg0Ii4ursw1L5VK0b9//wqv+WPHjpVZHgAGDhwo3iM8U51zAwAajQb169dHZGQkhg0bhkuXLt2N3RWpgv/6fSM2Xa0lZGVlAQBCQ0PLvB8aGlryP5Gak5WVhZCQkDLvubi4ICAgoNLv+ZlnnkH9+vURERGB8+fPY/LkyUhISMD69euF3uUHltzcXFgsFrvX/NWrV+1+JisrS7xH7gLVOTexsbH4+eef0apVKyiVSsybNw/dunXDpUuX/jONsR9UKrpvVCoVioqK4O7ufo/2zDFEi9B9xJQpU+4IBiz/qughISIsQp+bcePGYeDAgWjZsiWeffZZ/PLLL/jnn3+QmJjI41GIiPx36dq1K8aMGYM2bdqgd+/eWL9+PYKDg7FkyZJ7vWsi/3FEi9B9xIQJE/DCCy9UukxUVFS11h0WFgYAyM7ORnh4eMn72dnZaNOmTbXWWZtw9NyEhYXdEexpNpuRn59fcg4coXPnzgCAGzduIDo62un9FQGCgoIgk8mQnZ1d5v3s7OwKz0VYWJhTy4tUj+qcm/LI5XK0bdsWN27cEGIXRZygovvGx8fnvrcGAaIQuq8IDg5GcHCwIOtu2LAhwsLCsGfPnhLho1KpcOLECacyz2orjp6brl27orCwEHFxcWjfvj0AYO/eveA4rkTcOMLZs2cBoIxoFXEOV1dXtG/fHnv27MHw4cMBABzHYc+ePXjrrbfsfqZr167Ys2cPxo8fX/Lerl270LVr17uwx7WH6pyb8lgsFly4cAGDBw8WcE9FHKFr1653lJn4T9039zpaW6R6pKSksPj4eDZz5kzm5eXF4uPjWXx8PFOr1SXLxMbGsvXr15f8PXfuXObn58f+/fdfdv78eTZs2DDWsGFDVlRUdC8O4YHlkUceYW3btmUnTpxghw8fZo0aNWKjRo0q+X96ejqLjY1lJ06cYIwxduPGDfbpp5+y06dPs+TkZPbvv/+yqKgo1qtXr3t1CA8Mf/zxB1MoFGzlypXs8uXLbNy4cczPz49lZWUxxhh77rnn2JQpU0qWP3LkCHNxcWHz5s1jV65cYTNmzGByuZxduHDhXh3CA4uz52bmzJlsx44dLDExkcXFxbGnn36aubm5sUuXLt2rQ3hgUavVJWMKAPb111+z+Ph4lpKSwhhjbMqUKey5554rWT4pKYl5eHiwiRMnsitXrrCFCxcymUzGtm/ffq8OwSlEIfQf5fnnn2cA7njt27evZBkAbMWKFSV/cxzHpk+fzkJDQ5lCoWD9+vVjCQkJd3/nH3Dy8vLYqFGjmJeXF/Px8WEvvvhiGYGanJxc5lylpqayXr16sYCAAKZQKFhMTAybOHEiUyqV9+gIHiy+//57Vq9ePebq6so6derEjh8/XvK/3r17s+eff77M8mvXrmWNGzdmrq6urHnz5mzLli13eY9rD86cm/Hjx5csGxoaygYPHszOnDlzD/b6wWffvn12xxfr+Xj++edZ79697/hMmzZtmKurK4uKiioz9tzvSBhj7J6YokRERERERERE7jFi1piIiIiIiIhIrUUUQiIiIiIiIiK1FlEIiYiIiIiIiNRaRCEkIiIiIiIiUmsRhZCIiIiIiIhIrUUUQiIiIiIiIiK1FlEIiYiIiIiIiNRaRCEkIiIiIiIiUmsRhZCIiIiIiIhIrUUUQiIiIiIiIiK1FlEIiYiI1CpycnIQFhaG2bNnl7x39OhRuLq6Ys+ePfdwz0RERO4FYq8xERGRWsfWrVsxfPhwHD16FLGxsWjTpg2GDRuGr7/++l7vmoiIyF1GFEIiIiK1kjfffBO7d+9Ghw4dcOHCBZw6dQoKheJe75aIiMhdRhRCIiIitZKioiK0aNECaWlpiIuLQ8uWLe/1LomIiNwDxBghERGRWkliYiIyMjLAcRxu3rx5r3dHRETkHiFahERERGodRqMRnTp1Qps2bRAbG4sFCxbgwoULCAkJude7JiIicpcRhZCIiEitY+LEifjrr79w7tw5eHl5oXfv3vD19cXmzZvv9a6JiIjcZUTXmIiISK1i//79WLBgAVavXg0fHx9IpVKsXr0ahw4dwqJFi+717omIiNxlRIuQiIiIiIiISK1FtAiJiIiIiIiI1FpEISQiIiIiIiJSaxGFkIiIiIiIiEitRRRCIiIiIiIiIrUWUQiJiIiIiIiI1FpEISQiIiIiIiJSaxGFkIiIiIiIiEitRRRCIiIiIiIiIrUWUQiJiIiIiIiI1FpEISQiIiIiIiJSaxGFkIiIiIiIiEitRRRCIiIiIiIiIrWW/wNOaxpYiFXT/wAAAABJRU5ErkJggg==",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"x, y = sm.symbols('x,y')\n",
"xdot = -y + x*sm.cos(sm.pi*x)\n",
"ydot = x - y**3\n",
"\n",
"#Create Functions\n",
"P = lambda x, y: -y + x*np.cos(np.pi*x)\n",
"Q = lambda x, y: x - y**3\n",
"def dX_dt(X, t, args = (P,Q)):\n",
" return [P(X[0], X[1]), Q(X[0], X[1])]\n",
"\n",
"#Initial Conditions\n",
"ts = np.linspace(0, 5, 30)\n",
"ic = np.linspace(-1.2, 1.2, 7)\n",
"\n",
"#Make a vectorfield\n",
"X, Y = np.mgrid[ic[0]:ic[-1]:20j, ic[0]:ic[-1]:20j]\n",
"u = P(X,Y)\n",
"v = Q(X,Y)\n",
"plt.quiver(X, Y, u, v, color = 'red')\n",
"\n",
"#plot trajectories\n",
"plt.title(f'Phase Portrait for $\\\\dot x = $ {xdot} and $\\\\dot y = $ {ydot}')\n",
"plt.xlabel('x'); plt.ylabel('y'); plt.grid('both')\n",
"plt.xlim((ic[0],ic[-1])); plt.ylim((ic[0],ic[-1]))\n",
"\n",
"for r in ic:\n",
" for s in ic:\n",
" X0 = [r,s]\n",
" Xs = odeint(dX_dt,X0,ts)\n",
" plt.plot(Xs[:,0],Xs[:,1], \"royalblue\",linewidth = 0.75)\n",
"rect = np.array([[-1, -1], [-1, 1], [1, 1], [1, -1], [-1, -1]])\n",
"plt.plot(rect[:,0], rect[:,1], '-g')\n"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "7d4c7594-806b-4711-9f85-24bfd075763a",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"dV/dt Expression: \n",
"-pi*x*sin(pi*x) - 3*y**2 + cos(pi*x)\n",
"\n",
"dV/dt Simplified:\n",
"-pi*x*sin(pi*x) - 3*y**2 + cos(pi*x)\n",
"\n",
"Sign Changes: \n",
"[(x, -sqrt(-3*pi*x*sin(pi*x) + 3*cos(pi*x))/3), (x, sqrt(-3*pi*x*sin(pi*x) + 3*cos(pi*x))/3)]\n"
]
}
],
"source": [
"#Guess a psi for Poincare - Bendixson Theorem\n",
"psi = 1\n",
"def sign_change_test(xdot, ydot, psi):\n",
" div_psiX = sm.diff(psi*xdot,x) + sm.diff(psi*ydot, y)\n",
" print(f'dV/dt Expression: \\n{div_psiX}')\n",
" print(f'\\ndV/dt Simplified:\\n{sm.simplify(div_psiX)}\\n')\n",
" \n",
" sign_changes = sm.solve(sm.Eq(0,div_psiX),x,y)\n",
" print(f'Sign Changes: \\n{sign_changes}')\n",
" return div_psiX\n",
"\n",
"expr = sign_change_test(xdot, ydot, psi)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "5f3e5930-f283-47f2-b6f7-e88131fec12b",
"metadata": {},
"outputs": [
{
"data": {
"text/latex": [
"$\\displaystyle - 3 y^{2} - 1$"
],
"text/plain": [
"-3*y**2 - 1"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"expr.subs(x,-1)\n",
"#This is clearly always < 0. No sign change"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "22f92f82-2559-4cf0-9323-46be12b52a4f",
"metadata": {},
"outputs": [
{
"data": {
"text/latex": [
"$\\displaystyle - \\pi x \\sin{\\left(\\pi x \\right)} + \\cos{\\left(\\pi x \\right)} - 3$"
],
"text/plain": [
"-pi*x*sin(pi*x) + cos(pi*x) - 3"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"expr.subs(y,-1)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "159811ac-97c6-4676-a6e1-dcdf084d32a6",
"metadata": {},
"outputs": [
{
"data": {
"text/latex": [
"$\\displaystyle - 3 y^{2} - 1$"
],
"text/plain": [
"-3*y**2 - 1"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"expr.subs(x,1)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "b2493449-3b2b-43d4-8635-2513c65ca16c",
"metadata": {},
"outputs": [
{
"data": {
"text/latex": [
"$\\displaystyle - \\pi x \\sin{\\left(\\pi x \\right)} + \\cos{\\left(\\pi x \\right)} - 3$"
],
"text/plain": [
"-pi*x*sin(pi*x) + cos(pi*x) - 3"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"expr.subs(y,1)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "21246928-c9c0-4c06-833e-8e8dde8b9b33",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0, 0.5, 'y')"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#Let's check graphically the range of -pi*x*sin(pi*x) + cos(pi*x) - 3\n",
"x_range = np.linspace(-1,1,50)\n",
"y_range = -np.pi*x_range*np.sin(np.pi*x_range) + np.cos(np.pi*x_range) - 3\n",
"plt.figure()\n",
"plt.plot(x_range,y_range)\n",
"plt.xlabel('x')\n",
"plt.ylabel('y')\n",
"\n",
"#Looks like no sign change for our domain of -1<x<1"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "6ea1e086-12d8-46ad-b738-8a99fcf5577a",
"metadata": {},
"outputs": [
{
"data": {
"text/latex": [
"$\\displaystyle - 3 y^{2} - 0.1 \\pi \\sin{\\left(0.1 \\pi \\right)} + \\cos{\\left(0.1 \\pi \\right)}$"
],
"text/plain": [
"-3*y**2 - 0.1*pi*sin(0.1*pi) + cos(0.1*pi)"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"expr.subs(x,-0.1)"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "424752e0-5840-4193-9045-9530d3c55899",
"metadata": {},
"outputs": [
{
"data": {
"text/latex": [
"$\\displaystyle - 3 y^{2} - 0.1 \\pi \\sin{\\left(0.1 \\pi \\right)} + \\cos{\\left(0.1 \\pi \\right)}$"
],
"text/plain": [
"-3*y**2 - 0.1*pi*sin(0.1*pi) + cos(0.1*pi)"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"expr.subs(x,0.1)"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "e7396efe-1d3c-4589-95f7-6b6e7c89b3e0",
"metadata": {},
"outputs": [
{
"data": {
"text/latex": [
"$\\displaystyle - \\pi x \\sin{\\left(\\pi x \\right)} + \\cos{\\left(\\pi x \\right)} - 0.03$"
],
"text/plain": [
"-pi*x*sin(pi*x) + cos(pi*x) - 0.03"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"expr.subs(y,-0.1)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "1ed10fd6-1bfa-4053-983a-2ae901a069fb",
"metadata": {},
"outputs": [
{
"data": {
"text/latex": [
"$\\displaystyle - \\pi x \\sin{\\left(\\pi x \\right)} + \\cos{\\left(\\pi x \\right)} - 0.03$"
],
"text/plain": [
"-pi*x*sin(pi*x) + cos(pi*x) - 0.03"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"expr.subs(y,0.1)"
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "28b6df19-6fd0-4be5-b993-56be66ffdc4d",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0, 0.5, 'Range (y or x)')"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#Let's check graphically the range of -pi*x*sin(pi*x) + cos(pi*x) - 3\n",
"the_range = np.linspace(-0.1,0.1,50)\n",
"y_range = -3*the_range**2 - 0.1*np.pi*np.sin(0.1*np.pi)+np.cos(0.1*np.pi)\n",
"x_range = -np.pi*the_range*np.sin(np.pi*the_range)+np.cos(np.pi*the_range)-0.03\n",
"plt.figure()\n",
"plt.plot(the_range,x_range, the_range, y_range)\n",
"plt.legend(['X-Range', 'Y-Range'])\n",
"plt.xlabel('Domain (x or y)')\n",
"plt.ylabel('Range (y or x)')\n",
"\n",
"#Looks like no sign change for our domain of -1<x<1, always positive (towards limit cycle)"
]
},
{
"attachments": {
"656a4fe2-7f79-46cd-a7ae-600dc6cf338f.png": {
"image/png": 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"
}
},
"cell_type": "markdown",
"id": "0b628ced-a69f-44b2-b40a-5a8bd986b1f5",
"metadata": {},
"source": [
"![image.png](attachment:656a4fe2-7f79-46cd-a7ae-600dc6cf338f.png)"
]
},
{
"cell_type": "code",
"execution_count": 14,
"id": "1c5a49fe-5309-46e1-be4a-1684edb7f678",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[(0, 0),\n",
" (sqrt(2)*sqrt((alpha - sqrt(alpha**2 - 2*alpha - 3) + 1)/(alpha - 1))*(-alpha - sqrt(alpha**2 - 2*alpha - 3) + 1)/4,\n",
" sqrt(alpha/(2*alpha - 2) - sqrt(alpha**2 - 2*alpha - 3)/(2*alpha - 2) + 1/(2*alpha - 2))),\n",
" (sqrt(2)*sqrt((alpha - sqrt(alpha**2 - 2*alpha - 3) + 1)/(alpha - 1))*(alpha + sqrt(alpha**2 - 2*alpha - 3) - 1)/4,\n",
" -sqrt(alpha/(2*alpha - 2) - sqrt(alpha**2 - 2*alpha - 3)/(2*alpha - 2) + 1/(2*alpha - 2))),\n",
" (sqrt(2)*sqrt((alpha + sqrt(alpha**2 - 2*alpha - 3) + 1)/(alpha - 1))*(-alpha + sqrt(alpha**2 - 2*alpha - 3) + 1)/4,\n",
" sqrt(alpha/(2*alpha - 2) + sqrt(alpha**2 - 2*alpha - 3)/(2*alpha - 2) + 1/(2*alpha - 2))),\n",
" (sqrt(2)*sqrt((alpha + sqrt(alpha**2 - 2*alpha - 3) + 1)/(alpha - 1))*(alpha - sqrt(alpha**2 - 2*alpha - 3) - 1)/4,\n",
" -sqrt(alpha/(2*alpha - 2) + sqrt(alpha**2 - 2*alpha - 3)/(2*alpha - 2) + 1/(2*alpha - 2)))]"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"alpha, x, y = sm.symbols('alpha, x, y')\n",
"P = y + x*(alpha - x**2 - y**2)\n",
"Q = -x + y*(1-x**2-y**2)\n",
"\n",
"Peqn = sm.Eq(P, 0)\n",
"Qeqn = sm.Eq(Q, 0)\n",
"\n",
"criticalpoints = sm.solve((Peqn,Qeqn),x,y)\n",
"display(criticalpoints)"
]
},
{
"cell_type": "code",
"execution_count": 15,
"id": "0b3c6cb5-e13a-4141-a16a-e8eea1f0aa31",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"xdot = P\n",
"ydot = Q\n",
"alpha_val = 0.5\n",
"\n",
"#Create Functions\n",
"P = lambda x, y: y + x*(alpha_val - x**2 - y**2)\n",
"Q = lambda x, y: -x + y*(1 - x**2 - y**2)\n",
"def dX_dt(X, t, args = (P,Q)):\n",
" return [P(X[0], X[1]), Q(X[0], X[1])]\n",
"\n",
"#Initial Conditions\n",
"ts = np.linspace(0, 5, 30)\n",
"ic = np.linspace(-1.2, 1.2, 7)\n",
"\n",
"#Make a vectorfield\n",
"X, Y = np.mgrid[ic[0]:ic[-1]:20j, ic[0]:ic[-1]:20j]\n",
"u = P(X,Y)\n",
"v = Q(X,Y)\n",
"plt.quiver(X, Y, u, v, color = 'red')\n",
"\n",
"#plot trajectories\n",
"plt.title(f'Phase Portrait for $\\\\dot x = $ {xdot} and $\\\\dot y = $ {ydot}')\n",
"plt.xlabel('x'); plt.ylabel('y'); plt.grid('both')\n",
"plt.xlim((ic[0],ic[-1])); plt.ylim((ic[0],ic[-1]))\n",
"\n",
"for r in ic:\n",
" for s in ic:\n",
" X0 = [r,s]\n",
" Xs = odeint(dX_dt,X0,ts)\n",
" plt.plot(Xs[:,0],Xs[:,1], \"royalblue\",linewidth = 0.75)\n",
"\n"
]
},
{
"cell_type": "markdown",
"id": "759a57ff-d8a3-49c1-9556-2d41a34d78b8",
"metadata": {},
"source": [
"From calculating the algabraeic expressions for the critical points and looking at the plot, it's pretty clear there is one critical point inside the potential limit cycle and the rest are outside of the potential limit cycle. \n",
"\n",
"It also looks like this limit cycle is **stable**. That is because the vectors point in towards the limit cycle. Let me prove this:"
]
},
{
"cell_type": "code",
"execution_count": 16,
"id": "4b004f14-5c8e-4eb4-88bd-a93666b11602",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"dV/dt Expression: \n",
"alpha - 4*x**2 - 4*y**2 + 1\n",
"\n",
"dV/dt Simplified:\n",
"alpha - 4*x**2 - 4*y**2 + 1\n",
"\n",
"Sign Changes: \n",
"[(-sqrt(alpha - 4*y**2 + 1)/2, y), (sqrt(alpha - 4*y**2 + 1)/2, y)]\n"
]
}
],
"source": [
"#Guess a psi for Poincare - Bendixson Theorem\n",
"psi = 1\n",
"def sign_change_test(xdot, ydot, psi):\n",
" div_psiX = sm.diff(psi*xdot,x) + sm.diff(psi*ydot, y)\n",
" print(f'dV/dt Expression: \\n{div_psiX}')\n",
" print(f'\\ndV/dt Simplified:\\n{sm.simplify(div_psiX)}\\n')\n",
" \n",
" sign_changes = sm.solve(sm.Eq(0,div_psiX),x,y)\n",
" print(f'Sign Changes: \\n{sign_changes}')\n",
" return div_psiX\n",
"\n",
"expr = sign_change_test(xdot, ydot, psi)"
]
},
{
"cell_type": "markdown",
"id": "063e52d9-875c-4dc9-83b6-6dca251ffa43",
"metadata": {},
"source": [
"Now let me draw a rectangle around this limit cycle the same as the last problem. A rectangle at points (-1, -1), (-1, 1), (1, -1), (1, 1), and a smaller internal rectangle at (-0.1, -0.1), (-0.1, 0.1), (0.1, 0.1), (0.1, -0.1). "
]
},
{
"cell_type": "code",
"execution_count": 17,
"id": "a854e3d8-dee6-4084-be05-89e0686557b1",
"metadata": {},
"outputs": [
{
"data": {
"text/latex": [
"$\\displaystyle \\alpha - 4 y^{2} - 3$"
],
"text/plain": [
"alpha - 4*y**2 - 3"
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"expr.subs(x,-1)\n",
"#This is clearly always < 0. No sign change"
]
},
{
"cell_type": "code",
"execution_count": 18,
"id": "488b307d-1f03-4f33-8a0c-76dffc194d2b",
"metadata": {},
"outputs": [
{
"data": {
"text/latex": [
"$\\displaystyle \\alpha - 4 x^{2} - 3$"
],
"text/plain": [
"alpha - 4*x**2 - 3"
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"expr.subs(y,-1)"
]
},
{
"cell_type": "code",
"execution_count": 19,
"id": "9b011142-9718-447e-ae43-9d30cff58568",
"metadata": {},
"outputs": [
{
"data": {
"text/latex": [
"$\\displaystyle \\alpha - 4 y^{2} - 3$"
],
"text/plain": [
"alpha - 4*y**2 - 3"
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"expr.subs(x,1)"
]
},
{
"cell_type": "code",
"execution_count": 20,
"id": "8b82bc08-3e2d-4db8-8424-0678fc762a68",
"metadata": {},
"outputs": [
{
"data": {
"text/latex": [
"$\\displaystyle \\alpha - 4 x^{2} - 3$"
],
"text/plain": [
"alpha - 4*x**2 - 3"
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"expr.subs(y,1)"
]
},
{
"cell_type": "markdown",
"id": "ee28ae38-576e-4bc5-8c53-45e8dea3de1a",
"metadata": {},
"source": [
"For $0 < \\alpha < 1$ these are all clearly always negative."
]
},
{
"cell_type": "code",
"execution_count": 22,
"id": "31752100-ae0a-4a84-8ba9-ef4d7147a5e7",
"metadata": {},
"outputs": [
{
"data": {
"text/latex": [
"$\\displaystyle \\alpha - 4 y^{2} + 0.96$"
],
"text/plain": [
"alpha - 4*y**2 + 0.96"
]
},
"execution_count": 22,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"expr.subs(x,-0.1)"
]
},
{
"cell_type": "code",
"execution_count": 23,
"id": "7dc2aee7-f0f7-40d6-bad3-aee37f7b550a",
"metadata": {},
"outputs": [
{
"data": {
"text/latex": [
"$\\displaystyle \\alpha - 4 y^{2} + 0.96$"
],
"text/plain": [
"alpha - 4*y**2 + 0.96"
]
},
"execution_count": 23,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"expr.subs(x,0.1)"
]
},
{
"cell_type": "code",
"execution_count": 24,
"id": "3c9c2d41-f3b5-4026-a8e7-d782388d7686",
"metadata": {},
"outputs": [
{
"data": {
"text/latex": [
"$\\displaystyle \\alpha - 4 x^{2} + 0.96$"
],
"text/plain": [
"alpha - 4*x**2 + 0.96"
]
},
"execution_count": 24,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"expr.subs(y,-0.1)"
]
},
{
"cell_type": "code",
"execution_count": 25,
"id": "126023fa-4546-4fa4-a4a8-70de4ef70cfa",
"metadata": {},
"outputs": [
{
"data": {
"text/latex": [
"$\\displaystyle \\alpha - 4 x^{2} + 0.96$"
],
"text/plain": [
"alpha - 4*x**2 + 0.96"
]
},
"execution_count": 25,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"expr.subs(y,0.1)"
]
},
{
"cell_type": "markdown",
"id": "519cbcda-bcf9-4e05-8d99-4356d16ffd5c",
"metadata": {},
"source": [
"For x or y = 0.1, it's clear this is always positive for $ 0 < \\alpha < 1 $.\n",
"As a result, there must be a limit cycle between these two rectangles that is stable, as flow enters the region on all boundaries."
]
},
{
"attachments": {
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"
}
},
"cell_type": "markdown",
"id": "0bc31580-8784-4e92-bbc8-93ee06cd9bf2",
"metadata": {},
"source": [
"![image.png](attachment:a49d2138-fa02-44c3-bad9-c574795b9cc7.png)"
]
},
{
"cell_type": "markdown",
"id": "44598ad7-a1a8-486a-8d27-839c657966c3",
"metadata": {},
"source": [
"**Problem A**"
]
},
{
"cell_type": "code",
"execution_count": 28,
"id": "72a7604d-a938-45f6-9de4-4c2aa6acda05",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"xdot = y\n",
"ydot = -x - (1+x**2+x**4)*y\n",
"\n",
"#Create Functions\n",
"P = lambda x, y: y\n",
"Q = lambda x, y: -x - (1+x**2+x**4)*y\n",
"def dX_dt(X, t, args = (P,Q)):\n",
" return [P(X[0], X[1]), Q(X[0], X[1])]\n",
"\n",
"#Initial Conditions\n",
"ts = np.linspace(0, 5, 30)\n",
"ic = np.linspace(-1.2, 1.2, 7)\n",
"\n",
"#Make a vectorfield\n",
"X, Y = np.mgrid[ic[0]:ic[-1]:20j, ic[0]:ic[-1]:20j]\n",
"u = P(X,Y)\n",
"v = Q(X,Y)\n",
"plt.quiver(X, Y, u, v, color = 'red')\n",
"\n",
"#plot trajectories\n",
"plt.title(f'Phase Portrait for $\\\\dot x = $ {xdot} and $\\\\dot y = $ {ydot}')\n",
"plt.xlabel('x'); plt.ylabel('y'); plt.grid('both')\n",
"plt.xlim((ic[0],ic[-1])); plt.ylim((ic[0],ic[-1]))\n",
"\n",
"for r in ic:\n",
" for s in ic:\n",
" X0 = [r,s]\n",
" Xs = odeint(dX_dt,X0,ts)\n",
" plt.plot(Xs[:,0],Xs[:,1], \"royalblue\",linewidth = 0.75)"
]
},
{
"attachments": {
"7767ef13-07dc-41ce-a54e-beef95d98016.png": {
"image/png": 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"
}
},
"cell_type": "markdown",
"id": "fe2f9eb3-0261-4dd9-bd11-b9f235651b41",
"metadata": {},
"source": [
"![image.png](attachment:7767ef13-07dc-41ce-a54e-beef95d98016.png)"
]
},
{
"attachments": {
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"
}
},
"cell_type": "markdown",
"id": "80d5238b-e994-4493-82b9-66a90fe9251e",
"metadata": {},
"source": [
"![image.png](attachment:f74938ea-d577-425c-b7b1-70a42814e493.png)"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.12.3"
}
},
"nbformat": 4,
"nbformat_minor": 5
}