{
 "cells": [
  {
   "attachments": {
    "Entete.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![Entete.png](attachment:Entete.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br><br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<center> <font color=\"#595959\" size=\"28\"><b>CODAGE DES IMAGES NUMERIQUES</b></font></center>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br><br>"
   ]
  },
  {
   "attachments": {
    "prog.PNG": {
     "image/png": 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    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![prog.PNG](attachment:prog.PNG)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br><br>"
   ]
  },
  {
   "attachments": {
    "APN.jpg": {
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"
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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    ">En **1969**, invention du capteur CCD (Charge Couple Device) par deux ingénieurs des Laboratoires BELL, **George Elwood Smith** et **William Boyle**, ce qui leur vaudra de se partager le **prix Nobel de physique en 2009**.\n",
    ">\n",
    ">En **1975** un ingénieur de Kodak, **Steven Sasson**, met au point le premier appareil photo électronique, un prototype de **3,6 kg** qui capture des images de **100×100 points en N&B**. L’enregistrement d’une photo sur une bande magnétique en cassette prend **23 s**.\n",
    ">\n",
    ">![APN.jpg](attachment:APN.jpg)\n",
    ">\n",
    ">En août **1981**, Sony présente le **MAVICA** (Magnetic Video Camera), qui stocke 50 images couleur de **490 × 570 points** au format NTSC, lisible sur un téléviseur.\n",
    ">\n",
    ">![mavica.jpg](attachment:mavica.jpg)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    " ## 1 – IMAGES NUMERIQUES"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Une image numérique est formée d'un **tableau de points** ou **pixels**. Plus la densité des points est élevée, plus le nombre d'informations est grand et plus la résolution de l'image est élevée. La place occupée en mémoire et la durée de traitement en seront d'autant plus grandes. Les images vues sur un écran de télévision ou une photographie sont des images matricielles. On obtient également des images matricielles à l'aide d'un appareil photo numérique, d'une caméra vidéo numérique ou d'un scanner.\n",
    "\n",
    "L’image est divisée en (**m colonnes x n lignes**) cellules appelées **pixel** (**Picture Elément**).\n",
    "\n",
    "Chaque pixel est lui-même composé de trois composantes : **Rouge**, **Verte** et **Bleue**. Pour comprendre comment représenter les images en couleurs, il faut d’abord s’intéresser à la manière dont notre œil perçoit les couleurs. Notre œil contient des cellules, les cônes, qui sont sensibles à la couleur, c’est-à-dire à la longueur d’onde, de la lumière qu’ils reçoivent. Ces cônes sont de trois sortes, dont le maximum de sensibilité est respectivement dans le rouge (560 nm), le vert (530 nm) et le bleu (424 nm)."
   ]
  },
  {
   "attachments": {
    "image.PNG": {
     "image/png": 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nKt2onvdzCU6AG8FPFxgNXUAMXAMS4OgdDXuvSOG2XhGw1oXA2ikQNlQ6uEXAzTcevqGp8CfwhidmIj6jPTI79EC3Pnej3wMPYegjT+Ppl9/EWx+Ox4Rpc/DZVwuwaOlqrNu4EztzjmD/4V9w/JfzOH2+CBdIDRaWVqCSGMHfomjDpK+ummRmJVWWVxAwS6tQVFIp2hELCgoJhgzEfAFFBYy8rFeHpApZHXJINY/2FRBktZlLalKAk0paP3+OQcmZtAxQAilBVEke4vAsHY/UK2fKFghgknolBS76WlaUo7KilN5bKf3OFQJ4QhMzHAmISslwJAjWgVBRmtIlRNTXjXS5D19D0hvv09hk3dW2q03uo97vauuyTr7nxstsjff9q00DoWaaNVOTNwEu5U1MSeK43DBZRt9GqKhBPQAJfgxB9j16CLIzBHl918Z12LF+JfZs3SjUDoOwJJ9uyHSjZ2i89Wk2KbsIOIamwS0klRRhGjkBLiQFrlRynSu5WxjVh6eL0pW26bieQMhAdI9oQduUZc+IDLGfZ3iLumU+Jh/HJTAZzv6JcCQQOvjEwdItDBauoTBxCiD3g7kuCNbuIbB1D4C9ZxAcvIPhGhiFoLhUJGd1Rtde/XH/sEfw+PNv4K2PJmHCjC8wjdsvl6zA+p05OHHqDC4y4LifZHkFKcUqVHD4kr5e/jYZCeWkMLmdtKSsQu+0TPsW0GsKOTuWoFpUWoZiqium7XkERg695tH3lcttjQXFIgR79jzB8CJBUbRDlpDKJnAyUC+QYmQ1eY67klxAAUGygB5ALp6ldXLOpC0SST8XUFaUh+pLPEh6OS6VF6OytAg1BMnaynJiYwW9YQ7B1g9zpzwgNVSF0uS63I9fI72p/eS+7HK7elu9X1kvjZclbNUujyn35Tr5PqSrz8sm6/9q00ComWbN1OQNgEtxM6m7SSj9CCeO+wRLCIQcFlXaBn/CDlaDUgWSs/KTIJRqcDf5zk0EyQ0/Ye/WdXRjPiOUUVFRJYqLy1BJeHj90/Gw8AyDfXA6PELS4BGcSmUKPAhensGKe0gnmInt5G603YWcYSmUIcMzlAApyiacAcrOMI0gOJK7suKkOmc6n1NQEuz8E2DnFwsH33DYk1t7BBMsA8mDYO8dTlCMgVdYAvyj0xCW3AaxmZ0R26Y7WvS4Hd3uuAf9HxiK0Y89gxdeexP/++BTfDRxKmZ+8Q2WrFyHrXsP4dCxX3D4+EkcPvELfv7tLKnJYpRcIljQN63ob6W9sryqFiWkJIsqqlB8ib6rclKTJeUE2FIUcFlUhguc5EOvP0+QFG2QuYW4wOrwPGe+kjI8z91Jcgl6eaILyYUzdL7TBOqzZ8XvUJB7nvY5g7xzZ1FIYCwgNVlwkUuCZH4uyosKcKm0BOUE4wp9m2SVaJckqJCS52tEdPmg98umZMMyTOqhIkGnBlTjOnW9slwPq8bHYb/WujieapvcLs/DVrcffQ5+2FOcj9EQgg3XpDVd+0dMA6FmmjUz4xuAumQTNwr9DYR1DINQthFuXr9ajB0q2vw43MlKUJbk6vZBERal9Z2bSDFuWIm929Yj9/xZUjsEwmJSO3RDr6JzvPFJNsxJEQoQsnIjaLF6q3cGIHkobSdo8T5iPz3YOJTqFqGHHAFRKa90F/02NRwZhOxKmJVLPRzJ3aNaUJkKx+BEOJA7hyRDF0TLfnGw8Y4SbusTrZS+0aQiQ2CjC4AzQd2TgOkTnoTAmHSEJbREAqnJ1t3uQI8+9+D2uwfhvsEjMPyRJ/H8a+/iwwmc3PMlvl28HD+u3Yi1W3Zg6+59yDl0TCjM3MJSgmINKUuCJP0kZZWXUU7L7CWXCJi0UESgLK0oJwVKCrOcu3AUoYy8tKSIHjgKUVRYQM4DCeQhl0CXx10/CHS8fJ6gyG2TeQTMi/pBCs6dpTruY0lKUgnFkotuIgxd9kKxzO2TnNBTSiq2TCTxKF1EuD1StE9Wc7tkvTJkAPF1JV2CqqEr+0hgKWHZhvvIbeq6OqerVr0uoCeOoyBbub7laxmWcnv930L9X8ONNw2EmmnWzIz/6NUlW/1Npj40yiBcvvh7bOXBtdeTr1W6SkgYsiq8AoQbSRHWgVBRhBKEhdyRnmB4iU77+icTYO4ZAbugFgqIGFyinVCBFAOL4SiUn94VNSiVHu+rgpseduL113Dexy1Mfz5ynT4U60zLjuT2ocmwJQDaMAjp/TjRe3GkOgcCojMt63idlvk48rWeoS3gGkT7+CTAniDp5B8PG68omLuGwtI9HJauAbBxD4CdZyBsyV0CouATkQTvsFiEJLRAXGY7ZHa+BV1uvxu33TMI9w95GI8+8ypefecTfDJpFqbN/Qazv/we3yxeiR/XbcOmXQex98gpHCF1+SupuYvcP7O8HCVVl1BOqq2CVE8FAaiSgUC/ZhU92JRXVSoJS8XlQmWW8IAFpM65i0dBIZfknFnLXlQq2ifPn+e2SAWKFy4UiL6XnMwjE3kULxR9KgVkuW2yzgsbDHOnBqVM4OFrjp2vQwaThKbcptSr96kPzzbeT25XL8t1+Rq5LLexs4n6+j+F6zJ5rOs1DYSaadbMTH1zkMY3Bb6xSBDyYNmcLMMg3EZQYxDKPoN1ICSXQGQQKqHRjUIR7tpMINz4E3K21IOwqKiCbsRlovvC60IRksIKJhAymATEFOBJYDFonINJkelL4SIMqtRJ532lS8A15XK7PB6HRR0CE+FI7kDL9nRsu1AuycNS4MSKMzoDLpHpcKJzOoWxp5CKJaUYnCQUKUNchGrDMuFE6tYuIIGASYqS9rMTqjKJzpdE+1B9cDzs/FhJhpNHwtY7FFZewbD0CIIFgdLCIxhWtGwn2ilD4ewXTqo4Fn5RKQTMTMRmtEda+x5o05NU5p0D0XfAMPQfMgKDxzyJJ15+HW98PBbjps3C3G8ImktWYsnqjQTN/Tjw8284cSYXv5KfJ2VXWFqF4vIalNETCSf7sOLk0CyJTgImSGWy4iRwll+iZVadVfT7VeAidxfhdkuCJffD5C4ivC4Se0hJyjFgubsMD4Unh8djBcrZsXLwdNltRHYZ4TFoi4tLRFJPGQFaDU8u2RWlWQ9KuSxhJo2vabldjroj6yX8mrr+eVm6XJemXv7/mgZCzTRrZtbUH/sVICTATZ04XswzuJ1AyLNKbCcYNgiN6pcbh0avVITnRLIMg7CEFAkrwv99mg0zAqFtSCapO4aJAj4JNB1BUQ07AS99yQk1dfvp6wToWCEK12+XilGuq1yClWHoHJhEECO4hSeS4iNwkVrThRNsxTqHRxMImLGiqwcv60KVOvdIUowET2tSgA50fmcCJkPUkerZHSJSRMmZr64RLQiopBwj0sVnU4BO74sUpgjRElQ5JOtKwHULiSNVGUXqMgx23mFUhlMZChtyW68QWLsHwco9UGnLdGfVGUzbw0mVxsKbQ7NxmYhIaYe4jC5I79CblOYDuGPgaAwe9TiefOF/ePP9cfhw/HRM/+xrfL98NVZu2I4NO3JEN5JDx0/jxCkCWV6xGBbvErcN0rXBI9vwsG5llTw4AVDB7ZmXqlBK66UVl0QXjpJSBhq7kgHL0FN3D5EDqEtASnCqB1Xn8WQVeNbPOMLOx+Pj8nkUYJaivJzHiFUGJqjSdx0RANQDT7oMicp1aTL0Wme0KNZVVWxc12C//4dpINRMs2Zm8o9aXcon7aZAuGPzeuzYsFY4g0/dh1ANQglBETIlcHIb4b6tGwQIFUV4iW5mdHOl0/7v00kEwmjYhZDiYlVFcODQKMNAp+8yIUDBEBNOdQQwXTDVkzMMuWSY6cgZbqwm62AngKgowDqlqd/GKk62NSr7MoRItYXF0Xlj6TyxtKy4c3A0gTaGXhNPClBxj4gEuEUlwi2SgBhJMCWQORDo7CKSYRuWAHsCqVNMmnBetidF6BTWgkDbgsDJ8EwXyxyK5dc6iRAswZFhSJ/ZlZQjdw3xIOB6hiXBnd6ba0g8feZ4UbrTdoaec1A8AZy+AwZ5EL0XUqP23lEESlKbnjGkLGNg4RIGS5cI2HpEwp5Up6NnIFz9w+FJnykgKglRKVlIyGyPzI63iG4kdw0agQdGPo7HnnoBr7z+Dj6dOBWzv/gK3y1ahiU/rcHKtZuxafse5Bw8iiMnT+EUD01XSHAq4WmxypQ2w3J62CEVV1PD4OFrq5YgpYzZWkbbOGRaQjDjgQQ4rMpzUkownue2ynNnBTTPnj1Lfkb4ubMEUaoX8JQDr9Nybm6eaOfMp+Ow0iwhEFdeIjVLCvO3307h+PHjAqjVpCj5Oq8iWJaT6hRhWwZpJb1PoS7lIAJ0cer/LvjvQPkbaag62eTfzvWaBkLNNGtmxn/E8s+Y/vRB+KOnfn7yJxgKECod6qdkj8VPi39QIMcqT0JQDz8JQFlyaJRVoXCuX7sW+zdtR8HZPLoxcYf6UpQUlYtsyfeyp8LSm0AYyGqI2+1S6KavJMfoCBqu4RnwCMsgKJBiClG6V/C6e1Aa3ANTlK4RDDEBRAYF1THc9AqLIciqSygvBqweitzGJ5QXlQxeocbYabtbWDJBJ0WU0l1JGboS7Nwi6RxUimUCniuvC6XH75/fLylbPi5vE9sJaOQutOxCMBOAE2Dnde4rqYCPw6/SHbmO3gfv70rvQ0fuQrB1IfCKY3C92EbHZ6fvTIRnSWW6kdp0o/fBkOfvwZNUtid9R+50Tjd6UHALImAHEij94+BAbqcvrQmcpm7BMHMPgblHKHmYyOa19CT16RNJoI2HZ1Q6gpLaIiqzCxKyepLKvA0dew/ALf2H467Bj2P4mBfw3PNv4I03P8XH46Zh1pxvsXjJWmzYvAt79x/G8ZO/4effzuD0+Tycu1goMmDLKqtF5uylmsuoIL9E6wzQUh63lZzHpeVuIXm5RQS7Ely8UEAAzBNl7sUiUZ47m48zp3Nx6tfzOHXyPH4+8Qt++fkkzp+9gF9PnMT2zVuxYukyHN1/COWc4JNfiL05e7GGrsuNPEA8Pdjl7NiKg3t24fChfThx7BBOnjiCU6dP4uz5UwTp86iqqSCYcz9L8efy/zYNhJpp1szsaiCsZBjWgVDJGmUQypDn1UDIzvvs27qZYLhZlOI169bhwOYdBELOXiQQ5pehlEDICRzvZ0+DFXeAJxC6RTKEOOlE6UohQBiRQXUZBLk0Uj4MPNoWmQXvyEx4cShVhERJDRIMRRhVwIVgw1CNJDhFscpKgT2pKieChjOHKKPo2NEEQtpHOu9ft077sTNkuNQxdPRgcyFlx67AkM/D9QxXghBBm8EtBgIQACRw82ei7ew62lcXwVCk9yyOw8cjSBPAOJzqTKBxYuewqQAzb9efk5SoLpxAyKqQ3xvDWQKaoU0gZBjXJRyxcx1/B2KbhDU5fVeKKmblyc7vX3lwENv5/QsQ80NEMhxJZVr7RMOM4GjmHkaQjICFLphUJrlrKMycg2DqFAQr1xDovEPh4R8N7+A4BNFnj0tth4x23YXKvG/ow3jkmRfw8lsfkcKcgQWLl2Hzzt1iCLyiskqUVtfiUjXBsIqUI0FRDCZO1wg7iUmxTpxEWQXBk/YvKrmEgiJO7iklNVmM8xcKceZcLs6euYAzv5Ga/I3U5MnTOM6h3j378TOVZ06cwn5anv/lV5g5aw5WLFmCTStXYP3KH7Fy2RLRFs4Z0gu/+wqLFy/EilXLsGv3NhQU56K65hK9kz9nGgg106wZmrjREBAZSgzDK0GojCyzcsmiOtBxyLMxCCUkWQ0e2E5P1/SEzSUDMWf9ehzcogchK8L8UpQ1AqFdIPfvIwVDN2UvVn0EPAYLhw3tWM0JOBAs+AbPCodu1qweOQHFmSGnBx2rJW7jcyJgOIRxxmcCbEPjYRMSB/uwBDgSVJw4jEnuSO5Aik7tjuy0D28TTsv2EazGGHjktN1VqDNOkmEAcT1BT0CEu1ywIqRSQEfpjsFwYchwO6E9gdmB3FGWVKeAkNQgAZpLhiKrVwFgATr+XIkEK1aEymcUilDvDH4lYYe+FwYyPUC40Xvg78yJjs8K04lAyO7MUCbANQgfs0rlOlayepfdUjyiWgjnZWf+rsn5wUN0ZeHfgF7L2bH2PjFw8I2Fo38UbL3DCZCBMHb0gZGjNwzsvWDhHiy2edBnCUpqiYRWXdC1953o/+BDeOSpl/H6B+PwYfYMTJ3zJb747gfR93LTjr04SOA6RaqP1WMpKcdyhiURkRN6OLlHJvlwdEE6zydZyV1OSipRUVyJypIqlBeW4SwB9+Sxk9hN8J02ZRomTJiEzes34AgpwX3bt2AbKcMNq1ZgzYplWLb0eyxd+oPwLds2Emwv0l8DH/3PmQZCzTRrhsYgZONuVGoQqkOj3Ea4ckm9ImTwMQRllqgaguwHd2wTziDcz+pwwwYc2MKhUQIhtw/SE3xZUYUA4XsTCYSkNuwZhHRj9aAbsg+pQa8QUoOkBB3pZu4YTaBgJ/A50Y2Yb+LcbubKiSoMCIKeG6slApa7Xok5Ux0PzeZA+9mFxAu3JyA6EkwcCJSO7AQzB5Uz8Lgtzy4qmZxL6azkGIJ8bA5TKiU7h0pdCJic8SoUISlYCUBWhgKEvEwgcSQIOTCY9O5Ar+eS1Z8SquXXkcolEPL+LqTGFKdz0fsVLuDHYVkq9ZAUipDOz6pUPCDQ+3BnFU1gZnXJoHWi4zoRHDkMyyAUKpDfGz9YkPM6Z+Ey6ETCUDBBj0pulxVttvzQod8uYMjr+joBUXJWj/bB9P3yQwm9T3YeEs+GQGkXSN9jYCKsCJaWPrGw8Y0R3UecfMPh4BUC18BoeNHn849JRURKFtI6dEenXv1w+/1DMWDEYxj95LN47tXX8e4n4zB19jzMX7AIy1avw7ptO7CJwLbr4GEc/PkXHD99HqfPcZ/HchTStXapgh7yiF+15CXFZSgqLMaZ0+cwb+7nmDJxCrasW69cp3S97t22Bbu2bsTu7ZsIlrS8Ywu2bKKHvH07SYEWiL+HP2saCDXTrBna1UAoFSF3n1BAuEgAj0HHIGQISiUo69k5HFoHQbqx7NtK9fTUfZDbCM/li870rAhFaJTOWRcaDeKbeCo8yRmE3gRCvqGLPnsxBMVoUjh0o3X0i4Mz3UjdA2NFx3WPgGh4BMeKm6g3KTUvgosnwcWDVBpD0Z0g5krQcKHt7AwTHQGSl3UEMR1Drs7pJk9Qc6L9FVASEGiZQ6uuUXoAEhBZCSohUVlKJaW0aYqkHwFEdq7jEC8nySiKtrGLsKRQclwyyBRYeYTyIOTkBD73UII+uRuHRhk+QiUqziBklcxgc6dz8ffmRspUR6WOjsvvRccKkZyXuR8mg0uEP1kR0jmVECkfj9sv6Xji8ygA5NKd4CzVIa/r6H05h9B3FETfI4OavgMXAq5LJJ2X4RtJ5xTLLQiOKfTZ+T1k0edNh0MIJwrxe6ZjBCXAKZCTfeJFRq6df7Rok+RuJVZeShulpWcIbHhgdp8guAdHwp9+i4ikLMS1bI+Udl2Q2bknOtx2F26770H0HzoKDz3xIp5/7T28/v44TJz+OWZ9vgBLf1ovptviGTvy84rw9ZffYdbUOdixYRMO0HW6n67Xfew76LrdtZ1AuBV7yLfT9btv3y4Ul+SDZ+34s6aBUDPNmpkxBK8GQkURKv0Ip05UQqMSeFIVShCqIagGIS+LfdetrWsj5I70Rfk8pZGSLKNuI/QgteJNN2e/0HR4hyo3dHFTJeBwW50DqQgeONvWMRg2Dj6wtveClZ0nrB28Yavzg52LP6xdgmDjFgRrchuPENH1wME3As7+UXChG60bZ2JyxiWpSRe9ihTOkKSSoSlCnkLtEYyi0uFJEHYnRVqvApWS2/cYjkq7Iis6hkQmOb9vBqICQ1m6cpsnd7rn5B8updNnFBms7HooKiPoJNGDAYchyUPjqGQQEvgE/OpLbn8U47CSi2MLGGbRcdgzaZtSsruGZsKFQMQq0yVEcU4wYpUtFZ50Vnj1EFRAyCFTRRXSAwO9Px55hxN+2J3o4cU5rBVtyySoZdBvyg8vmbQP7c/no8/GALQn+NkzQOm35rZdDuO6RrYQ+ymZw4r65/CwE30PTtxeHJAAHQHTmbuocBjWJxp23pGwpt9Y8VBYsXM3Es9A2PgEw8E/nB6O6JhBMWjd4w7sP3IcVXRZXzifj2+/XIh5BMldBMIju3fg0M7tOEDXLcNw//Zt2ENqMGfnNuxgEO7dhdLiPLpaOYbx50wDoWaaNTOTEGRjCLIzABmGPKGtVITTJo3HqqWLBewYfAw36WpFqCjAzaJkGNaBcG09CEt5rNHCMrqxVAgQfpA9HbYChHQjpxs6txF685BqHBrlzFGCozPd7Fk1eAUmolXrWzBo4KMYdN8o9L/jQfS+pT/atuqOpIRWiKIbdiDdvH0JeB4+EXAhReHEbVNugbB3CSBY+sPG2Q9Wjj6wJHha6XxhSW5FELUhiNq4+sPWnTuxh5PyjBZTQTE4PUKVLgs6bqPjNkKGJZUig5SW3QmIDAs3ckUB0s2cVR0DTr/O9e4EPdH2ydmv/Blp3S1YUWIMHQaRyCIl50xYMbYql+TuoYlCHQrVxoBipcb78zoBhbNMWf0J5ccKMCKLzkseys4qMJNAyp5FcEmFA71OGRwgRcCJ+2bycVjdMQQ5POrASk0fCmVlyJ9PvD+RnESvIRCzKxCk1wTx+2kJHYHQkR5snEjlu9L5RMiXvgtXfj2BTfTdpP257VS8Tg9Kds56lX0suXSh703HilVkDXMmLH0G/t7o2nCl71CAnD4POx+XB0WwJfBZBobDyj8CdoERMHB0R2haS+zce4CuaODixUIs+Oo7zJ0+F9vXbqDrlaMXW7GXrtfd4lreTMpwG/bqQXhg7x5UlBbRKzUQaqbZv8f0BKxTg7TEy2oQVvGkrATDjRvWYvqkCVj74zIBOwE2UoISglINsksI1odFOXuUXrNuHQ5u2YnC8wRCHhuzlCe9VVLRPxk/jZ7uY2Ef3IJutgQXuumJmyc53wwd6UbrEJ4CW794JCe0wO53h+PwipU4sO1X5Kw7jJz1h7Fx6Q6s+GY9Vn6/EQu/+glzZ3yLiWNn4/23svHSC+/jxeffwbNPv4GHRz6PgQMfQd/bB6FzlzuQ1bI7ElPaISauJaJisxBKN+aAgFj4EETdCKBOrDIJmJbWbjC1dYOZjpbdCKTu/rDiktyalu28FeVp60cADYghEMTRDZ/UJylO17B44e6kNj0JbK4CIskCnN6RGQREhlAsHOk1DhHxcIxKgF0Mq9QU5WGAbvbihs/A5NcT7GSGqi6YgBaQSK9NhQ19T3YEJDsClh19X3b0UGFH358dAYKHgmPlxeFTTqTR0bl5CDkHVnQEbDGKDik0l2CCCvfNJCCJdkOGI71OtHXqoc6DAXD7JUObQaqoSFqmUoRR6Rx1YVfhdBx2Po4s+b3QNp57ksO9/KDBoPcIY+d1DgPTsthGzkqYPze/DzqGyG6lz6o8cHA9w1Ovuskd6fPZ0vfHbbCuUcmw8A5CXKuO2LP3oLjeeV7Ib775CjNnTBEDPuzfupWuJ35wIxW4ma/lrcjhhzi6hndu2YgDe3ahooxAqIVGNdPsX2QqKciL3G1CDcKaWiVEyjOUc7LM9MnZAoR1Ck8PQjUM1RCUIFRgSCBcvx4HtuxG4blClBMISwiErAz5pB+Pn0GKMAZ2rB7ohsxTLvEwZaxkWGk4khp0jEwjyMQhLbEFysYNQP6S2Ti1eR9+W7sFhTv2o3TvUZTkHEHt8d9Q8+tpVBw/iZJDx1Gw9xDO796Li6QEcukmeHZXDn7ZvhNHSAXsWLIcGxf+gJ++mI/FM2dj4dTp+HLsWEz5OBvvfjQTL7zyAR55/BU8OOwp9CP1ecudg9G5131o1bkvklv2QERiGwRE8VRP9H5JMdkRAK29I2DpGQ4bjyAxWbCdZzDsvAiSBEoHcicf2uYTApuAcDiExNBnjIVnOCk9cjdusyRwOkfEEajiSRUmKaqL1RYrJ7r5c2KNUzQtR5FHtyBwMvRIUTEUhKIjKDGQ6HUCVNxnkNQWg1coJ1JMrrTOYVfRr5CcVac7gZKXWcEKAJLXz+LB63R8eg+yawW7on4lkBhyCjTV2ahKEg3tw8fUQ4zrdXpYMgDVsGNX4Ej1dVBUluXAB9y+KZbpnBxSFaMRiVCwDAlzghU/APADFCv2BJh7BiK2ZQcC4QFxzecXFOKbr77GzJlTsIOu5QOkBg9srwchl6wOc7ZvFiA8mLML5aWF9GDIA9D9OdNAqJlmzcwkD5tShMpwVDV1IFy3QgGhDI2qQ6Jcf3UQEjzXr8OhrbsIhKQIy6pQXFKBsuJL4g18NG46KaoYERoVGZHiZppFyy3FDdeRbvbcv447gKfEp6Fw/IOomTIElybVe+Vk9qF1XsU+hX1YnVdLnzr8ql6TPQDl33+Mi/v34hzdBM+Qn962Eb9sXI2DK5dh9w8LsH7+XCyfPhnfjv0Q895/C1PfeRXjX30B7z7zKF4aORRj7r8Ht985ELf0uQ89evVHuy69kZjeFoF0s3f1DYaJow4GtrYwsLGBgaU1TO11sHbyhrm9B8wcvWDt6gdbN38xbJqVTySsA+khIYTAGJEM5+gU2EdxN49EAiGBLprqYghAtOxJ3xW3sYr2QnLu7sAPEi4ET1cCJ/cnFH0WCZy6QFJ/gQRFArhrUJJQpQwmVt+O9DDCSpGzP+04kYX2EXAlV4BHzhAS5+Jz0DZ2DpEyAPXAEtBixSaAWF9X7zzwAYd7CXIc9uXlBusyUYghyOFfOhe56F+pXxbHoXOI8LMAMzltt+cIAn8Wei13dTH3kiBUFGF+QQG+/no+KcLJCgjFNbuNrlclPCpASNe1BOEBAuGlsmK6XjVFqJlm/zr7PRByjQDhpAkNQCgBeDUIymQZCUTuR8ggLCAQlvBs7cU8cogCQh6BRGkjZJWSJNrPGIRuDEJ6+uc2KB3dzO39o5ESl4KCcXoQTnyQfLC+/KM+GJWTmnICKm2vyh6IqokPoLrOB6FmEvuDqJ3MPhiXp0gfAkyV/iAuzxiFTWs246e1e7Bk6QZ8Pn8JPvp0Gp599g08OHwMuvbph/QuPZHQvhPCk1sgMi4NkQQWH+9IuOqC4eoUAEcbDsd6wcTeD0a2PjCw9iZ4+sDQzhemzoGw92R1GQpn3zC4+EdA5xcOZ24T9YuCLjgGOlKVbpEE3hiCXTypwziCQkyScKdYgmek8p1yybCwJ+iwAhXdQAia7DwwgQMDODieYEZAYbVOdcJpmfsSirZKUpIuHHplYAqgStDVu4ShAKXeFSXJIJPLios+jnKdX08lw9dJ379S9LEkAHOfSM5S5WOIPpt8LAYzOYfSeeB0Hhzdlb4HBmEcgzDnkLjeeQb/r7/+QgmNbt5A1+t24QoI+QFOAeIeAuEO2s4g1EKjmmn2L7VrglAmyxAIZ0yZSCBcfgUIeV0CTzpDkF1k4elBuHfjBhzaRorwfAHKCISFPOg2g5Ds4/EMwhg4cPeJEFICIQxEJePRhZY5c5C7LjgQCFMTJAiHNlCEN94JsFd1ZR8BzSucIDvlIRSuX4iC7auRt2UlLq5fgtOrvseJ1ctxdOUSUpXzsfXbWdj0xWSsmvYRlo97BwvffBHznnkY00YNwLjB9+D9e27H23f1wFt3dsVrfTripVva4LkeLfFC9yw82aUlWoZmIMYrAWG6CATYBsHN3AeOZj6ws/CBtZUPzO38YO5AypLUpb07qUt2zwDYeAfBzi8UDgRLh1DyEHoACSHFGRpLyo/gySHKiCRyAiIBUhcUI8KT3rTuHZlCzmWS6KriRtBzJ6BxchMn8/CweDykW31Itd7VUFQ7K00lfKoHnwAjuQCbvk6vQCUIuTuGAkQFepzFKvcVSpX3peNyaJQfojihyYI+e3yr9sjZJ0OjjUBI1+qhnTsEAFkNsjrkPoV1odG9uzUQaqbZv9WuC4Qb1mHG1ElYrwdhYyUoASgVIQOQXQLxINWpQchtgzwfYVmp0kb40bgZIjTqEKiAUEzAG9KSbrStRJagM6kVp/B4OPpFIiM5DYXjBt8EEP5Jn0zvb+oIVE4bqYRt5zyJyoUfovq791Gz4D3ULngXl+e/AnzxAvDZU8CcJ4DZjwCzRqJ2zvOonf0krY8if4i2jSAfCcwl/4zqZo7AlheHYdljA/HDyP74ZkgfzBtwC2bd1xPT7+uOyXd3wcR7OuLt2zuid4uuyIrpiOTwlggPTIaPRxRcdGGkKGNh7REJW7dgWLuGwcopFJaO/jBx8IGpoy/MnPxhqQuCpUsQbL3CSY1HwikgGk6B0XAmOOoCY+FMx3ML4vZFZUg8r/AW8OA2Og5TcgKLSOhRSneqa+yifY/VHAFRhDwJeNJFSJe2yUQc3q6Mx6ooQrnMGaVKP05SqwRpORYs9/uUIGSwW3kwCEkR1oEwD19/Mw8zZk7CLgLd4R3cfWKHUIUMQS5ZGbIilKFRAUIta1Qzzf59dk0Q6kOjmzauF0Osrf1xqQCbhB8vM/yk+uPy8K4dDbxuv02bcHj7bhScy0MJzz5RzNMwVYAH7v9kAnefiIRdUAqpkCRSJXQzE8kUGYpSoBshd4K3DSJFmNrinwHCBmHYQagglVgxfTQqpo4kH4WKGWPE8qUpI2j/oaQkldAsv7ZiCtVPHla3rvYKcgYrZgwlIA4jcA5XwZL9YXKC5Vxanvkwjr3/KHa88Qi2vDoca54fhB+fvAeLHrsL3zzWD58/cjfeGfYQpoy4F5OG34W+dz6ALrfcifYdetL33BrRUWmIot8jMDQe3qQavQKjoOPsWDd/2Lgo3U3MHbxgYusBC0dSojo/AmcgLD3CYE3wtPWJgr0vuR+Dk0DF7ZH024r+i/yb0m8rBkJn52WGIsHNLYpAyf0Vo7jNT1GYvJ2TeVhF8j5OVDoREB2j6FqJZvjRcTlpKITgR6/hIeUc6Fw8e4kHbbPyCBSTHu/Zp7QR8uTB33zNWaMzsHPrJhzavRMH9yiq8OA2fnhTwqQ82gyD8gApwvLyQnqlBkLNNPvX2e+D8LIA4cRxn2D1siUCbgw/Bh8vM+TUADxCNxTednTPLrEsQXhg82YBwvzz+SglEBYWl6O4oBx0KoybNAM23uEEQoIgPd27hHFHd+5YTapA3AC53SgZFsGxSEjLQMH4waht7iBs7Fdty2wYblW8qbpre8VExRmq7AKY5JhGPp2gOYOVJAFzFvtogudj5A8TnB+nfR7C5a9ewqF9R5Gz8yB2bdyJDT+uw4pvlmLpZwvw5ez5mDX9M0ycMA3vvP0xnn3uVYx+9GkMH/kY7r5/KHr0vhMdu/RCyzadEZ/eDhGp7RAc3wJeBFBuw+R+mTaugbB1DSCV6QdTe4KnnSdMHbxh7hoMc5dgWJEytfGOgJ1/lJiw2J5KJ1KduqA4AihdD8EJcPONg2cwXSOk9ng2DtGtJiIe7jGJVJcATwKgCylTB3qA4i4kjgRCDpdyVq+1RxBiM9pht0yWyS8kEH6H2TPnYBdfz/t249DeXco1TSA8TCA8RM4hUwbhwX17UFauKULNNPtX2vUows11IFwsIMeK8GoglHUMwStAuI0VIYPwkgBhUVE5eG7UcRP1IOQpgjjExSAkJcIgVBQhZx4mwSooFompmcgnRfiPA+Hf7sMEHOXypcnDxXLV5AdROfEBXJoxGjVrPkfNzlWozdmAy1uX4PKqeajZ8AOqNi9B1YZvcGn91yjfshiF+7Yh9/gJXPztPM7+chonDx8nNbUfOzZsw6ofV+OHhUvwzXdLMPOzr/Fp9nS888F4vPDy23jsyZcwZPij6H/vENzW9350u7U/WnW+DWmtuiEqpQ0ColPhxb89jwLkGQRnjwA4sbsHwolUqLN7GOxEKDcQNh5UetK6XxjsfULg6B0KbwKjb3wrOEVnwJaUYT0IUwiEgQTCttidowbht5g1YzZ2baVrmBTfoZw9dP2SMiQQMgQ5RHqIrt1dWzZdCUL5h/P/MA2EmmnWzOz3QVgjQDhp/KdCEV4vCJtShEe27xGhUVaEBcUVKCYQNlCE9LTPg2czCEU3Cr0i5MxRTriwDkxEQnJLnPtUA+Gf96YVZ+UUfbvm1IcIksNQxeW0EaimspqUY81MAuZnT6Fm3rOonfcMaj+nUvgzqPn8eVR//TqqZj6C2iPbUFuSj+qL51BZkI/i87k4f/JXnDp8GMf37qNrYTv20nW1Y+1abFi6BIu+/BxfTJ2MWRMnYNKH72Ps+x/h7Xc+wtPPvISHRjyKBwYNx539h6Hrrfciq11vJGZ0QVhCa/hy6DMoBn7BpD49QuAUECv6XfIAAZwww+OfekSmEDgZhKQIZdYogfDbbxZg7qy52L2NrlEGIbkEIYdGD7AqpOt899YmQPgnTAOhZpo1M7sWCGv1yTI3C4Q2KhCKKYfCOUzKoVEl5GUTkIjExEyc+uhB1E7VQHjDvS58O0hfNvJsque2zpmPoWLqCFyaMJCc1CR7NvsgfdeTBwRAq2eMEl6zdByqV89G1Y8TUb3kE9Qu/hjVX72C6tmPombBW6ie/5KAJwOXy0pSp9Wb5qPy1FEU7NuOM9vX4ZdNq3B4/RrsX70KOSuWY/2Cb7FwxjTMfP8dTHrjZbz7yhuIT+kgxpjlGS/sCYRXKsJ22JWjT5YhEH73LYFw9mfYzckxKhCyGjy0ndu3ldCoyBrVQKiZZv9e+31FqLQRZo/9BGuW3zgQcrJMcaECwrETp8Na30bozm2DAoSc/CAVYQvyTNiyIozPwNF3B+GyBsK/xzkblr2pbaJ9Ur8swSldDVS9MzQbOKnUqkkEUh4MYcbDVNI6Kf9qWmcXy1OGiUSpar3zMreB5n7xNu7ofjssdf4EwnjYhiQoirBRaHRXzn5xvRcUMAi/w2cEwj0MvL27GilCumY5NErX+dXaCHkOz/+PaSDUTLNmZtcCYTVP4KYH4cRxH4s2wsNNgJBhJ9d/D4SFoo2QQagky/B9hUGoJMskKm2E4awGlUxCzih0C80gELYU89nFxaZj35saCP95/gcTgIQ6bcL1x5FZtrL/JuY8hMe7ZYiMVfe4VNiGJpAilCBMJhAGEAjb1ClCHmt0wXcL8dmcedizQx8azeFkGQIhX7OsEvWKUGSN7uOsUU0RaqbZv9J+TxEqg27z7BM8ssxyATzOGlV3m1BDsKETCPWz1B/csgVHt+eg4HwBirkfYWEpiorKUEtP1eMmz4Adzz8XwAkyDEBuI0wQ6tCdQ6PBDMLWpAhTEBmTge2v/bdByDf+2omDUDtpkIBBU/v815y7jjzWNRMWuiDw/JGKIuQHqWS40bXEcxlGpbXCzt2KIszLK8B33yzAPAYhQ48geGA3qcKdDEK6rrcRBEkZHmAQbtskQFhaWkB/HxoINdPsX2fXAmEtlZfJGYQzp07CptU/CcAxANUg5DqpAKVzneiTRdsPbN+CQ1u34uiOHDHoNs9HmF9YQqqwRJxv/NSZAoTW/jwJLt28wuPhEsYjmvCAzKliBgYebs2aQBgWnYmVzw0Epv23QMjAY/Bh6mDR7eHnz17HkTn/Qy13heDMz/84EBmET3RvCQunYDHmKI+VKqaXCk6ES2icCI3yrPfbd+WI651B+O3X3wkQ5nBnelKEB+i65Wv2EK0LRcggpGt897aNOLQ/R0zMS38Z4vV1fzj/D9NAqJlmzcyuqQhFsowyDZMCwpUCcgw/GfLkZTUA2RmK7AoM6cma99vGINwjRpYpLr6EvKJSKgmEdNJxUxRFaO3Hsy/woNBxVMYQ/BQQuge3IIWYRSBMRnh0BlY8+98BIQOOxzflgcT3fvYupr/yMB6/qwsG3tsPDw66Dy8PuwPfvD0K5bMexeWJPD7qgyofpJR0DPZKEVps+jz/dGcQPt6tJcwcguAR0wKOpAYdGYQhDMJ4PQhbYseufeJ6F4rw2wUiNMogPEyK7+Ae5QGOR5XhkWZE5ihdv7tJER7avwclQhFeCcI/2laogVAzzZqZ/T4IeWSZdZg1bbIAYQO4USnVYFMuwXh4F+1HT9esCHnQ7aKiChSQIiwuLm0IQlKEPK6ojkDoEh5dD0JWhOFZsAlIRmJsBo69M+jfnzVKAKslAOZ9+gByvvgE38/Oxu19eyMmJQUhUVGIi49BaloyMtt2QPc+d+KNl17CsXnv4ewXb+DUvNeFn/36fZTOflIkonCCC8O0evJgVPN4qP8yKAoQdm0FM/sQeNDDEg+67RDGU1DVK8JIAuH2XXvF9Z6Xp3SfYBDuJRV4hEDHbYRHRHiUwMgqkdsI6Trfs3UzgVIBYQ2BkMH3/02UYdNAqJlmzcx+H4RKsowEIYONASghKEF4LGf3FWXTIMxHsQAhK8JS0eIybkp9aFSCUBfGipDnomMQpsM9PBO2BML0hAzkj70Zg27/Pc7tf6wAa6YOR/HcZ7H2+8/x+ttvoU2nrvAN8Ianjw5R0eHwD4uAc0Qi3Fr2RrsR/8PD03/Cy/PX461v1uL9r9fhw2/X4+OFGzH+u7XInr8cE79aim9+XIuzn72K8snDcXka+SRWjPRQMWWIaHPlsmbygwooG72v5u71ijAEPDEvQ5AVoSMrQnqgsvFsDMKCOhDmqEHIqpCv2Z36bhR0fe/ZvgWHD+xDaVkh/X1obYSaafavs+sFoTo0KgHIzusMvcZ+fO+eOmUo9t2uB+FZVoTloo2wuKhUdJ8YP3mGGJPSxj+JIMjDZzUKjRIIeVZ128AkZCTwWKOD/pUgZAiW86TDnwxA0aZv8M23X+HRpx5HelYmHBxs4OBkA2tnJ9j4RMC+xS2IH/02urz9Dbq9uxA9PlyE7h8tQa9PluKuT5ehP/nd45fjngk/of+4FeQ/0vIKDPnoa7w2exly5o9DXvZwVMx9ChcmjMCvHz+IM+OG4+Kkh1E8dRRqJj6gKMlG77G5ulSE5g6hYkYKnn1ftBESCF1DE/SKsFEboQDh50IRHj2Qg8P6a/bILnqI4/6E3F4oQLgZhw7uJRAW8F+HeP2fMQ2EmmnWzOz3QVifLLNxlZIs0xQIJfjkMpcShEcZngxCzhqVICwooVIJjY6fNAN2vooiVGYdSCCPhVs4z1SugJBnILcNSkJWQiaB8N+pCGuzByJvxhOYMfYdTJk2BUMfGozU9GSYW5jDwNAAxha2MPGIhXl6f3iNHAefJybBa8wEuD88Aa4Pj4PH6AnwHjUWvo9kw+/RSQgcMxHBYyYh+NHJCH6MysemIvjJOQh/dh5in56Be96fg5nz5mHQwPvQ55auGDFsMF7/3+v4ctJHyJv9rBhdppI71zfxXpub8yDjj3dtqYAwXA9CupY4NKoLjRODbkemtsQ2tSIUbYRzsXfXdgLhXhzZy9csP+jRNbuTHuC47ZCAuHfHVhw+mEMgLNJAqJlm/0a7XhDyfIQbVq4Q8OOwKLedSBBKAKohKEv2I7tpv+3bcWzn3rqs0cKiMjGyDI81OnHqHDHIMneY9wxLhkdYEjxE14kkUoLcqT5FTL1jGZiO1Pg2KPonzD7xB5yV4OXsAaie+yR2bViG195+A/fffw+ysjJgamoMAwOCoLkdjF0iYRjTE5Z3PAujfi/B4PbnyZ+GYe+nYdb7WZh1HgPjXk/C4I7nYHAnbb+DvN+rMOj/Ggzv/h+M7nkDRve+DcMB78Jk6Efw6P8MwlJS4RvkibSUBHTt1gn33HMXHn98DCbP+QzHvstG7cSB/4iMVFaEY7pnwEAXQAowTQyzxqPLiO4T4YlKskxSFjbv2COu91wC4ffffYt5s6dj7/YtOLE3R/ix3QRDgt8xAuERAuExguJ+AiEPyl1eVqiBUDPN/o32x0D4oxIuaqKNkJ3h19gbg7DoPIPwkpiPkEFYQyfNnjYX9n7RsAtKgGc4gZAg6Ebw4yHW3CJZIfJ0OmkwC0hBUlwmgfDfowh5SqWy8QNxctwI7Fr2JV5+83Xc3b8vOnfpDGdnZwFBAyNzmJLSMfJMh1HrQTDoPgoGXQbDsPNDMOryECw6DIN18j0wD+lJavE+GHel7V0fhkG3R2jfx2HQ8wkY3PI0DG59Fga3vUCQfBXmPR+CpXcobMyMYGlpCp3OEXFx4ejUqTXuuLMXRo56CFNmzsT5bz9ADUG6qffenJznaxzTIxMGroHwjMwUUzXZhfAoRSmiP6q1ZyDCkzPrQJiXl48fvvtOAeG2LfiZIPjz3r04vmcPqUEGIMFwO5U7d+pBuEebj1Azzf6tdi0Qcj/CxiCU8FMrQqkKJfjU5VEqxWtkG6E+a1SCkJPvJk5VQGhLIHSJSoQuKokUIKnAqBQ4cRmRAh0pQtOAJCTHp6Jo/L8FhENRPeF+FEwaiYWfz8Crb76J/nf0Qc/uXRAdGw1DQ0MCoRGMLT1h6BgLk7DOMGr1AAyy7odB5j0waMl+H6wz74djwh2wCOwI0+jbYNp+CAzaEyi5bDcUBh2Gw7DTKAInebcxsCRImvtGKZDVu6GRARwdbREVHYJ27TNw5x29MGr0w/juq89RPv9VVE1o3jBkRfhoTwlCDqVzX0J6gKKHKHdShDYeQQhPaYnN26UiLKxThPtIEf6cs1cowqMEQlaBx0kRHtMrwn2cIb2XJ+bV5iPUTLN/pV0LhE0pQoYaq0EJQqkGG4NQugJCUo96EBZKEBZyaLRCJMtkT50DB78o2BAInaMT4RSTCIeYZDhEp5CnwimCJ1tNhWlgIlIT/z0grBp7L6p+eA+7ln+DDz98D3f3uxPdu3ZCaip9B862AoSGhnYEQlKD7ukwTrwNBim3wyCZPKkvlXfAIPVOmCX0hX1af1jSdpOMu2FIzoA0bDkABq3ZB8KgDSlJgqJpx4dgE90WJsYmMJQQFMDlkmFog4jIALRvl4W77uyNJ597Fhs/z0bttOHNur2QFeGjPVrAQOcHMfkv9yMMVRQhRxis3QMRmZxVB0LuPlGvCDfjpADhXhzbs1uowOMEwHoQkiIUINQUoWaa/Svtz4JQqsHGIDyxL6du/co2wvrQKCvC7KmzSREqIBRqkFShc1QyqcFkOEZJECbDPCgR6Ukt/hUgrBp/P2rmv4DVixfgjbfewQP33Y1uXTsiKysdQSF+sLQgUBmawtDEB4bWUTAJbgWDhF4wiO0Ggzjy2J5U3kreC0ZxvWEc3xtGKX1gmEywTOpDwCRQphEoW5Bn9CMFSYBsNQBW6X1gauMoIKiAVrqEogGsrc0RGupHMMxAv/598cpLz+HI4tliFJvmmkkqQNgzAwYufmIiZx6nVihCGRrlNkIC4Zad9YpQDUJFEe6l61gB4QkNhJpp9t+x/y8I2RuDUB0Wlc6KUOzDNxVuI7xQiJI6ENYrQgYhJ8u4RSTClfvHEfhcIzkkSjc1Hoib1KFFcDLSEv75bYSV2Q8AXzyNLUu/xohHHsZDQwehB0GwVet0xMVFw9LaAsbGRgQmApZJIIx1CTAJbweDiM4wCO8II+GdYBTRheq6wDCqKwyje8CAXYCSyjgCZcKtMEwiUBIYjZLvhHmLvnAMiW+gBBs717MzDCMigtG5cxvc/+D9GDfuExRPH4OaZqoKGYSPEQgNXf3FjPQiczQkSYCQk694PsJwVoQ7dovrvT5ZZgb2bt9aFxo9JkKjiiLka/aoACGHRndrINRMs3+rXR8I12L65GwBQtkm2FTWKENQuhqKnJLON5Xju/ah6HwRykqrlNknZBvhdD0IAxLF0ztn+fHsE8Ij0pQZKWKSYRaYgJT4DFKE/+SsUXrvU4fj4PL5GDBkKJ55+lHcdlsPtMpKQ1xCJHQ6Jz2MjGFk6AkD8xAYeqXAMKglDAIzybNgwMvkhqwSg8iDW8MgtD15BwIleUQnGEQSJKMIijGsHm8hMN4G+5SusLC1vyoE1c77ODjYIiEhGrfc2gXDR4/Agolvo5reOw/b1vRn+/tcAWELUoS+8CL4cWjUgUpdGD1QRSTAxjNIKMJN2xUQXtQrws8ZhJwsQyDkZBnOGm0cGt1PoORkmXINhJpp9u+0a4KQnGefWLtmFaZkj8P6n5bXQY8hKJUgA49DoY2d61kRHsuhfXaTEwhl94mi4jKUlpaJc0+f8wUc/KLFWKOuYaQGQ7kTdCrcQgiCwVliYl6n8BiYBEQgOT7lH60IL4+/F8c/fxcPjnoEDwy4D8OGDkSHDq2QmBCD0MggWFiaK6AysIWhkR8MrcMIhIkw8EqGgSe5d6re00RpSG7klw6jAIIkeyBBMrgNDELaw1CAkZRkZDcYx3SHpW8YjFUh0KYAKJ33MTIyhIeHK7KyUnHnnb3x8ptv4fDCKcCUwWIIuKY+39/ldSB09YFHaBLcQzg8mgIHupacw+Ph4BOK6MQsbNi6U1xzefkFWPT9QnwxZ6YYQo2zRU/k6LtP7OSHNr5e6VrXg/D4of2oKNWSZTTT7F9p1wPCdWtX60H4Yx34JATVIOTy5/30ZE0u14/p91XCTWoQlhIIS8S5p8/5XAFhQAKpQVKEdPNyYzVIT/WuIRlwDU6BY1gszINjkJr4DwZh9iDgi8exJPt1hMfFYPjQB9Dr1u5okZEowpBeAR4wMTfRg9CNQBgIA9tIGOhiYeBEbhsFA3tyh2gYOJI7U50bwdEjhSCZBANfKn3SqcyAgR8BMYCVYyYMQ9rCNiwTZrZ2StuggRF50wBUO78PMzNThIb4o0unNhgyeBCysyfgwoJPgMk82W7z6V8o2gh70MOBjtsI6doJ5oxRJWGGZzNhEMYkEQi37xLXXEMQbhIQrFOEBL+fGYz6ZQbhsYP7UK6BUDPN/p12vSCcOnG8CI2ywhOAE0pPcQlCdjUIJQwbgrDoChBOm61XhARCDmPxDPXch9CFb2hhPPNEKlwiEmEZwiBM/seCsCr7AZz59j3ced/9aNUqHQPv64e2bTIRlxAGbz9PWNtZw8iEFZsZjAy8YWgcRPCLgIF1ONV5I6ZlHwx49DXcP+YV3EvloGffQad7HiXoEfi8CYBu8QREgiGrRy9a96F6/0wYB6TBwtlbjE7DcOMuGdcDQnbe347eV3JCJHp274S77rod2WM/xfkv32xWIVIG4ZjupJR1PvTwRA9Q9PDEneodwnj82njYe4cghhThRjUIFy4QIMzhZBmCoOxHyNELBqGiCHeLmVYYhFoboWaa/Uvtj4Bw48qf6hSgGoLS1QBUq0IJQvXIMkpotFScWwmNRgkQukTGQxfBY41yxh+Ht9JIHaZRfTIsgqKQlpD0z8waJWjg8yfw/eT3YONoj3vuvgN9+/REWlo8wiL84eTqoIcUKzZ7ch8CYSit+8LZNQkjR7+IXTnK8GBqO3nqN7w3ZS5a9BtJCpEA6JQIA1cCojspRHeConcGjH3iYGploxy7CdhdzeX7MTU1gYe7M2Jjw9GmdQvcec99+GbSx8CkB8SoOE1+3pvsDMJHutHnJRC6hKbDJSS9XhHSgxWDMJrbCLdJEObXg3DrZpzct084K0NWggzCn3czFPdg/45tiiIUIOS+tX/ONBBqplkzM/ln3RQIawmCDML169aIZJlNqxQQSgDysgQjuxqA7BKWEoRCEZ5XskYVEEpFOK8OhM5R8XCKjIMTKUCn8BQqSQ2SMnQOIRAGRpMiTPhHgrCKw4gzH8ErLz6P2IQoDBp4Dzq0a424uAh4ebvC3NxUr9i424SLAKCBgQf8/FPw7dfLxPdUXl6K3LyLqKisQPmlUhQXFaCy6pLYtnPvIaR0vRfGBE0D+xiCIsFQFw9DtwSYOHmT0jQmuP4xEEo3MTaCJb0/ZwK4v6832rVri/ffeBUF819HNancpj7vzXZFETII6cEhpAV0wWmijdAxlGefSICDd6gA4cY6EKoUoR6EP+9TFKECQnKC4AkqD+xsDEL+S5GPkH/cNBBqplkzs6spwpqaK0HIg243BmHj7hNSBcrtEoRK8gGDkCfmbZgsw6FRe99oWAUmwCmGIChASMsRKXDg7hOkDN3C0mETFI/0+Ph/YGh0MC5PHoy8VZ8jOCIKSUlRIiya0SIVIeGBsLK2rFNfhoZWVHoLt7XzxdLlK8R3tG/3Pmynm/gPi5Zi9OgxGDp8OOZ/PR85fAM/+bPYZ+2GTQhp0R0G1qQkuT3RLhLGjuEwtrCDEUHWiEOiTYDuWs7vydjISMCQl22srJCUEI0Rjz+BXZ99AGTf38TnvfleFxp1CYAuNEMoQmcCoX1IAlwi4un6UkKjm/Sh0fy8fCz+7jt9aHSLACCHRlkRitAowZCBeJxAuJ9AKJJlyorplRoINdPsX2fyz1lAkP7XIDRKJddsWL8WM6Y0BKF02Z1C1ksIsksIinoC4Qm6mfN8hCUll1BYUkwlJx9waPRLOPrHwCogCboITnLgWSiSxBijzpw8w4NwU71VYCySYxOU2Sf+YRPzcnLJzp9+gEdgCNq3zUSPHh0RnxINN09XAgypNZHFyaDi8UV9yJ0xZ/ZcHD1xDGOeehZvv/0B2rXtgCgCqYSmj68P2rZrj7feegel5eXiu5y3YAnc/NNgYEQwtQyDsZUPzC2sFTV4ne2C0gUEjY1JrSqZrOxGBMXgEH/ceVcfzJ8xCRU8/Fr2wCY/8810kSzTTQGhY1gGwZCHWUuFM48uExoPO58QRCRmYsM2JWs0P68AS3/4Hp/PniWyRk/uZUW4D8dz6Nqla/WkXhkeIyge4NDoIdlGqIFQM83+dab+k1aDsPIKEE6sC41KbwxDhl/jRBkFjnoQkiLMP3cRxSUVKCwuIlWYK44/47Mv4UyQs/HnBJk0EQrlobFcGYY8OS891buFJsCcYJkYl/KPm4aJk2RKvvofAet1BIUGon+/XmjdtgUi40JhY2tNgDGCra0VTEwZOAxGe/TuPRAl5UUYPGokQuLiSTlywowCI7UbGRnD3cMTX33zrfgN9x04iKjUrjAwCYChaRCMTHUwMVKGU2sKdtdyhh5DkGHI6/KcOhdHdO3cDm9/+AnOf/YqapvBoNwChN2VrFGH8BZwDG0Bl0gGIl1HIYmw8w5BGIFw3eYd4nvKyy/GssVLCISzsXvzZpw6cECAkDvUsyI8qW8r5KxRmSzznw2NxsfHN7joNP/7nX8TzW6sNQYhq8FLl5sA4eqVDeCnhiK7hJ86PCr35zZCVoT1ICyoB+HcL+FEILQN4CzRdHHz4qd5AUJ6mncnELqHJsI6KB5pPMTaPwyE1WPvQfXWr9Fn4BA4O9sTCG9FRkYSAgJ9YWSsAMbJ2QFWNo607EbQscbYsVOQc+QQAuNj4RNEQCPgNf5bYIXn4MivMcDgocNQWFSEclKGT7w1npRgJAwMPWFoZCMgyO2PhkZNA68pZwiySwiyy/PyqDOtstLx1DPP4MTMl5R+hU187pvpDMLHuqeTIvSHY3gGHEMIghHk9EDlwiD0CkFoYgbWShDmEQgXLcEXBMI9WzbjlwP7RTuhkjW6uwEIZfeJ/6wi5B9ds+Zl2m9y460pELIirGYQEhA3Egh5Yt7Na1ZdATmpDGWddLUibBqEVypCa6EIUxUQsiIM48GTEwmCCghtggmEyf+8sUarCITF675AZscesLe3xW29uyMtNRFeXp4EG0PY21nBxs4Sxia2dH27IDg4AwcPHsbAoUNh7ugACytuNyT1p4emj68fIiMjERoWhviEJHj7+ME/KAQbN20Vv2P2N8tgas8P8TpyUwWEIix6/aqQz2Niwok7yrK63szMGOkpiRg1cgQ2LluI6jmPozL77x16jUH4OINQFwin8HQ4hdIDVUSLOhDae4cqinBTPQiXLlqsgfB6jH90zZqXab/JjbfGIORuEwzCKn2yDINwFoNw3Wr8fEAJfUr4camGIy+ru07Ug5DbCPerQMjdKHLpbLWY+dl8BYR+yaIPGN+8dGKINSU0qgZhSmL6Pyo0KgAxYzTO792A9NYd4O/ng25dOyA2PgLOLo4I9PPGkEH3IiElCpY2nCRjj85d+4nfo1uPW+Dk4kKAJJiROuNr31nnjCeffRZjnnoK/Qbcj2EPP4wuPXsiOCwKCxYuEq/79NvFMLSPpv15cG1SdvQ6BYTX7zIsymVjEJqQSkxNiseggQPw1WdzUT7zMVT9zWOQKiBME4pQgJC7TwgQcp/CekUoQZibXw/CnC1b8Ov+ehCeIG8ShKUaCDVrJqb9JjfeGoOwgSIEgXDDOsyaNhlb163ByQP7BOgkCNl5Xd02KNcbgrApRXiRz1oXGrUhEIo2whCpCBmE9aFRBYRp/6w2wrH34fKSD3HyYi6S0tMRHx+GTh3bIjQqCFbWZmiTnoI1Sxah/z19YOnK7YAO6N7jTvF7jB0/AU7OOoKgiYChtY0NunTtij533QWvoEBY2tvB1ccHWe3aIC2zDeaQsmZ7a953MLDlY9mLwbuNeJb7P6gGTU1NRVhUDUG5jbNIY6PC0b//HZgxYRzKpj+Cqkl/b+d6BuETDEJnXziFpekVIYdGeXSipHoQ1oVGiwiES/DFnDnYs3XL7yrCo/QAWK4C4WUeJPf/aRoINfvTpv0mN96uDkJl0O1NG9YTCKdgGynDXw8dqAMhuwQfA1KtBqVfHYTFekVYI0KjToFxBEIGH4dGOSSqUoTBcXAjGNqEcBth+j+rjXDcfcDSD7Fm61aEx0ShTdsEMddfUFggzE2MERsajDdeeAatW2fC2CmCrm9H9OjeX/we6zduFokwDEK+7hOSkjB46FAEhoURBJXBs93cPNC2XTsEh0Rh06ZtqKmuxsPvTYaBRQhtt4G5tQnMrFhREsiuQxXyMaVfbTuHWoMDfXDHHb0x9v23UTL1YVQ3AxA+zv0InbyhC0lVhUbpWgpuGoSN2wjFEGtNgPA/nyzDP7pmzcu03+TGW9MgrEUVOYdGN6xfI9oIt1F56vBB/KwHHINOKkRZShBKNSjbEJsCYWlpAZ21GrM+/xI6AqG1fzzdxFgJcqIMOSlCXWg83AiEHmGJsA6K/eeFRgUIP8K3i5ciOCKEFF0q2rTOQGCgvwhZ2trZwDfQA04erjCy4JFkbAmE9BqyVWvWIyQsHKZmVgQyY3ptD4x5/HF4+vvB0s6OwGQMGwsbRNA+To7uOH70BM6ePoX024fBwCyYgGUNR1cbgqZ53fBqTcFN7bwPh0Ob2sbOIVbeJyDAE737dMfbr72IoikjCYR/b8IM5ozCY92SYKAjEIanwzE0Fc4RacpDFT1E2XkHIyQhA2s3bRffbUFBCX5csgxfkiLctWkTTh06iF/2KzAUoVFyMd4o+aFdO3Di8AFUlHM/wv/gEGvaTbf5mfab3Hi7Ogg5BKQMsTZzysQ6Rdg4JCohKFUgL/N2mU3aNAiLUFqugHD2lwTC4BhY+ceIp3lWhQxCNx5vlBShW3C8mFPOKjAGyQmp/yhFWDnufmDZh5j71Vek5ELRtWtrtMxKga+Pp7iWjU2NYWxpDENTawKNH9XZo3Xbvrh0qRobSRF27tJDZJM6Obuhz223Y8TDowmEAbB3coapsSmMDU1gTJC8q+/dKCsrx4q162DhS0CwDYO7mycSEiPhwLPdkyIUMDS6utJjNzMzazIkqnbe5u6hQ7cenfD6S8+gaNJDqJn8N4NwLoGwSwKB0Au6yDQCYUo9CEPj6kC4ZqMKhEuXidAog/D04cN17YQ/kxqUIGQwHt69Ez8fOaiBULPmY9pvcuOtaRDWiJL/8AUIhSKsB6FUhBKGEoTq5WsrQgJhmTKa/6wvvtKDMPZKEIbXg9AyIAYpN3kapkpSOtVThogO/HzO3/Nq8gavH08gXPo+psyaiZDISHTr2h6tWibDw40zOpXMTGWgbc4M5Y707nBxjcXKlZtQkFeAwcNGIDImCakpLXBH3zswdAStJ8bDy88P5ubcB5HgZWmJJUuWit9w+NNvirkK7ZI6YcyYh/HomJHw8fYgVWkKA2M9CK8RIrW2tr4uEDo52aFtuyy8+vLzOP/1e38/CEkRPt41EYY6Dz0IU+H0OyBcsXR5nSL87fAhAuGBK0FIyzzlmAZCzZqVab/JjbcmQUhKsPpyNdeKfoScLMOh0V8O7q9ThFIBSpd1EoQSmNcGYTVm1SnCWNF9wjU8TQmNchuhHoScLCNAmHAzZp9g+A3G5WnDCIAjUJ49HMXjBqN4/BCUNHJRN4FKcp4wuCR7CCom1b83AcIl72HK7FmIS0oiRdgOrVumkFpzFteyuYU5QYrBw/39WBEyDG3x8kvvi99k7IRstGzbAXf3vw+vvPQqRo4ejcw2bRAQHAZDYytYmtrj2RdeFskbW3ftgX1kexiEdEDnUa9g19bNmDolG+HhIbC0NoexmZGSNNMECPm9sBo0Nze7Yltj532trMyQScr25Zeex7mFY5sFCB8TIHSHaySPMdpYEYYgJL4FVm/cJr5XCcL5c+eKDvW/HdJAeFXTbrrNz7Tf5MZb04qQh1lTEgMUECpthE2BUK43rmdvEoTFFSgoKqwDoQyNWvpxaJQzRhVFqAahEhqNRXJ88nW3EVZMJM8eqpSN6tX7Sa+cTDfU6cOAGSPpdSNx/v3B2Pu/5/HWbXejf0wi7kpMxV1JLcjTcFcyLSen4M6UFPTLSkWfzGTcmhaH5/v2xLlxo1Cr72TOILxMIJwz/0u06tBBAWGrFHh68sDapAjNOCOUuyjwjBMMQi9yd4QGp2Hnzt04n5uLj8aNxzBShqNHP4Zet/ZBoH8Y7G118PUJwHvvf4hael45dy4PKR1vgwF3m/DJQLtBT2D10kX4+KMPEBjoCwsrYxiZEgSv0ameQ6zcBsjL/N4ab5fO28zNjZGekYzXXngKBVNHNxNFGA8DZze4RCTDKST5ShAmZJIiVEBYmF+CnwiEnCzzRxQh/XWI1/8Z00Co2Z827Te58dY0CGVolBThhrWYPV1RhKz2GGxqCNbBTlVfpwp57EbetlMBYcG5XALhJRQWFdeBcM4XX8AlOFYoQmfRmV4FwrpkGQKhSJZJu35FqAceg698vAJEuU3AUe8c9mT4YfoonHr3Pmx/cRAm3T0YXQKjkOgfDDsbW1JSBBIjUxgZmBOweL7AejcxtKTtZuLazIiIwC8fDwemKe9PSZb5EAuXLUfX2/qgQ6e2aN06HUHBAY3gwtMwEQgNed5Af1p2weCho/HL6VMiaYkHKJ85YzZu630X7rzjXjz11DM4/dsZ8dvtO/QretzxIEEwGAYmgTBwiIN7VAoGD7wH/fvfCQ8vF5hZGZGC1CfMNFaEVGdibAJTE1Pa3mhbE87H4E71LTJT8MbL3EY4AtXNBIRGBELXiKRGijBeHxpt0aiNUAmNCkVIIBTJMgRCzhhlVyfLaIpQs2Zl2m9y4+2qilDffWI9KUIBQu5Qv78+Y1StArktUKpBLmVb4bE9u8UI/nL2CQWESmi0rIEiVEDIoVElPKqAkOeScwuJhzuDMCAWqXEEwuscWUaqwfLxQ1D2yTBapnWq5zn0MIOU3xyC37zRKP50KH4YegvmDL4VXSJD4GhhDVtrpf3NycIBZkZmMDM3R6+EaLzWuz1e7NEGr+j91W5t8HbvLhjdvSWsjQ3RISIYv31Ex1aDcPGHWEWqo8ttfZHZIg3t2mciPCKkrrO64k7kEoSsDL1JwXng/geGi24UhSXKlFXSKiou4+ChX/D5V0vQ6a4hpITCCVLeBDUfGBgHwMzCEUmJ0YhPiIGdoxVMzAli9P6uBjZ2hqERD/wtYHhtRWhmZoR0AuG7r7+E4qmjmkXW6BNd4mHs7EGKUA/CcAYhP0zp2wjj1SAsrQPhrs36rFHuS8gwVEGQnZNltKxRzZqVab/JjberKkI9CJUO9ZOwXR8a5SxR6Wr1x6WsV+pkqFQ/DdOevcg/m4uiIqX7RHFxHp2zGnPnz4crwc6aQOgWnk6ubyOMSIZbRKIYcJvbCO1peyYpHaEIr2P2CRkOLedJcWeSSptL4GP4TRuBnFcGYv6Qrpg+qD1GtUmFqR4G7G4Onghy88PdqRn4dsTd6JcUTXAwweR7ugHzH6ZjPdTQ54xA1eQhcLExQ4vAAJx+nxSmHoQVY+8Fln+KPaQoWnfujLjoaHTq1AZxcZEEFQNYWprD2poTZXR0DgahD9X7KssiTGqHsPAUvPDy2xibPQ0ffJqNcVPm4qNJX+LWu4fBTBcGAytSgjyRL+0vQEiliYkNQkL84e3rCQtLUxibcLcI5fOpgSbWqd7ahod4IxBy14nrAKEpgTCzZRrGfvAWSqeN/vtBSL/tE52TYWznL2YvcaBrhuez1NF1w90nbL1CERzbAmv1w9AVFBRh+aLFmDdbNR9h3TRM9KCn96M7d+IgKcJjdN1rINSs2Zj2m9x4u5oirBEgrMGmjcrIMjsIiJw12hQIpavrFQiyOuSZJ3h2CgLhmYso4jbCkmIq8+joVZjz1dcEu3jYBMQRBFsQ/AiGETwzfZICQoIkT8VkE5yI1FgFhLXXoQgvE4wYUqz6No25BVPuaoup93XGY+0SkOIfDGMDDgUqMHC0cULX+ES81jMDSx4bgLXPjMKJt8YI8L19S4YIiWbf2VUcr/F5aqcOQ8HYB0hFGiM5IBin3yNFOF15fzUTBuDCZy9i6ZrVaNelE8IiI9G9awckJceJUV88vdzg60dKzpCzSH1hYEQgM6JSqEKenFdpM1RCp9yJ3hIGJh4wtSUAGvFMFa56+LFzlwwu3WFqagNPgqCNA3edIAheATZl3dbWGi1bp6NNW/qMDUKn1wahmbkxKduWmD01G+UzHv37O9QTCB/vmEIgDKZrhhRhWAKcI1KhIwjyWKO2nmEEQs4a3SKu9aKiIjEN02ezpmPf9q31fQj1IGRFyOWRHTuUaZgO7tWPNaqBULNmYNpvcuPtaiBUhlirJRDyyDKTSRGuxa/0ZCyB1xh8jetP7FNU4Yl9BEEOL+3dRyDMRTEpwoLiIhSX5PHZMFcPQmsBQkURChCSInSlp3tPeqrnNkKL4FjEJTQ9DROHOysnDxXKTABw3kgcePFBvNWjLV7pnY4EFwcCH4+7qbTliRu+kTVGtWuJife1xuIxt+O3D0cDs1nxkXqcPlI5zuwReLRtEu1vggl3EQhnP9TgvOwShHYEwpTAEJx5l1SiHoS1U4bg5Hv3Ycnc8eg3cCCGj3gYPbq2RWpqNGxsLREQ4IXAIF9SYhwa9daD0J9AyBBkqDEkeZnHIWUoMuy49BDLhhxCrQMh78P7epAitISzmxPMLS3oWPR52fkz18FMAVpggA8WLPgSr7z6NMFTrxIFBK8NQksLM3Tt2hlLv/salXOeQOXfPdaoHoQmjoHwiuJ5LBPhxEkzpAzFNExeYQgiRbhq/WZxrXMb9aIFCzF35jQBQp6GiWFYnyxD1y6DkBThgZ3bNRBq1rxM+01uvDUNQg6NXh2Eagg25bz9+N4cnNhPINyvB2HOXuSRIiwuugQx6LYKhO4ShBGkCDk0KhRhssga9SQIugezYoxFWkLDsUarqKyZMkysXyYg1Ux5FKtGD8VjrZLQwi+QrhdleDJ2cxNTWBgY44Uemfj+sR5Y9thtKM8m8M17BJhF8JqqvrkqoT7MHokxnRiExvi0f2cBxvp9FJcgdLA2Rbp/GM6+SypUD0IGdMUndyN/5Qx8MHEiJk2ajrZtWyAjM05MyRQY5I2AQB9SY3oQGvvC0DhAWRYuAdfYJfyacg86njnsnaxEVqqAIKs9NeD0INS5OuLFF59E39t7wpg73fN3dR0gdLCzwx3978b+WW/SA8Nw+qx/f2j0yU7JMHX0h1dkInQRiaQI1SAMR6AahIUl+OG77zBnxlTsJ8X328GD+FUPw19IGf7CQCRVyKHRAztZEeYQCLXQqGbNxLTf5MbbtUFYHxpVQKiMNap2Bh+3HUqXMDzBIBSKcAeBcIcAoVSEnCzDIORkGQahqwyNRqSTClTaCN0ieLzRRHhHpsAjOAFWnhHIjE5FWfZgvWobjqrsoTjwzDD88NAIPJyRiM7+ngh24FCiAj8PewdE2brjvVszsOf1ftj23O0oGUev/4wASFCrYfipskkbu1CEHZLpWKQI7yQQXiM06kCKMM0vghQhZ6DWb68Zdy8KV8/CvIXf4ZZetyE+MRZZLZPgrLNHULAPgdAbxsbcr5AgRorQ0IRAqFKE9aW67mrObYXuBEBL2DiYw9LGHKYWxuT6rFFuJ2TXA03nroOvnyfMzExJWSrw422N4Sfq9d8puz+95rmXXsLFOS/icnOYoZ5A+HSXVJg5BMA9PFa0EzrR9eMUmgjX4GTYeYaTIkzHqnUShMX4YcECUoRTheK7AoTkDMI6RXiIFKHWRniTbDH9oHzO3/Mhi/Uv0NtHGfptVB7V1/2VdrPPp7Kb/pv8B+zqIOQ/+saKUAGhOhTK8OO2QwlBWYo2QlaEMjQqQKhvIyQQlpTk09lqxPBjQhH6NwyNMgRd6cneg0ovbu8JSkRaXAYOvzUQhWMH4rf3B+LNdu0Qbm0LLxsnupGbwpSUjoOVKSI8PDHtvs449dEA/Pr2/aiYoKg7zCT4kXpUd6W4lgtF2Ibn9jNC9u+A0N6SQOgdiTPvNATh5ckP4uD4RzFhwvsIi4lB5x490SIzCV5eLggiRegf4KUHIYGMQSgUoR8BTYKv3nkYNkOjejcwVrloW+TMUXeYW1rD1tFcZIzaOljCytYMJuZGMDYjqMkRZkgBchuiqbkqXMzAawRANQRZSTrY2aBNh1ZYMu19VM8ag8qJf2/7IDsnQT3bNR1m9n5wCY3Wh0YZhKQICYasCDk0unq90kZYWFSCRQsX4rNZ034XhAd3NAyNXhYPiPKv5o/bP+4OdtNvutcLQvaMj/QvItNAqNn/0/jP+UaAUO1cxy7228+qkCAoulcQCM/lEgAvEQxZEfLsE6wIv6GndgJhIIe0MqELS4cLJ8xEpcI9Kg1OITEExzjY+UTAztkHqeHRCHNyhIWx0v3AzMwCAW52SA0KwLeP3I78CQ8g95MHUDWZO8cPF6G7qsnXDz+1MwgfbhtH5zHC2Lu6CIXYeB8JQicCcLpf9BWKkMOj1dmDsHreONw9ZAiGPvIIEpNiEB7mi+AQLwQGe8HcghNfCHaG5OZhMDANJmAFCbiJMUgZdCb+MDAjSJoFNnRzLmlfXjYNgKG5N+zs7Unt2RMErWBjbyFAaGljCgtSraIrhYmBAKCtvdJNRDiHQzlRhj6rdNGWyPUETVNzE7i7uyAlKQEjxjyKQ19/issT/341yK6AkBShvQ/cw2JEFwrOGnUWodEEAcLguHoQFhQUY8n33+Oz2dOxb8c2nFKB8OTeHPySQ9etvo2wMQgb/tX8cfvH3cH+VhA2En2KUaXczv7RTaaQNA2E/xqTf848vRpDsIaedhmEXNY2CcL6ZBkJO7msrmMgcilUocge3Ysje/Yi93wuSgmE3HUiN+8Mamor8cW3S+EalEwgTIFLbFu4RLcUHesdg+LgGBAHEwdnmFiawdiCuxnITE8TJPp4omuIOz68tRspxIdEogy3F16eOlzAScJPOt8w/ygMGYSPtU0U5500oBfw9Rhx0+VBnrnvmlj+fDRAsPW3sUJaUBROfUB10xoe5/KkQTi1ZQnuemAgQqOjkJaegLjYEISEeiMiOoDAxUqOFCGB0MgqCgY2kTCwDoeBRTCBTu+WoTC0Jkg25TaKG9JrDK394O7hjuBQHzg624i2QnYHWmaVaEkwNDY1gomZMexILcokGbXyE+2Kos4AJqamBFRb+Ph5IiMjGX3v7Isp4z5G0VdvEOAfaPA5/y7n0OhTHZJgYesNn8hYuEZy+2AqXUfJcAmJg71PKAJjU/HTmo10RQP5+UVY8sMP+Hz2jDoQnuKHPHpYk1mjchomMTHvIW2G+ptnvwtCMvU+jUOkN8s0EP5r7NogbCpZRgmBNnbZrYKVYoOBufnpmuoPbN+Gg7v34MLZCygVHerzUSI61NMlvfQnBNITvI1nMFx8/KHz9KGbthuMzCxJuZjCjDt6i+QOU7hZ63B/YiRe79YOZ94fDswciVqCHw92zc7DpDV1o/z/OoPwiXYMQmMMbpeKJU/0xIKHu+Prhzrju5FdsZD8hxGdMH9IJ+gszUkRRuLX9xoqQnYGRuXJnejR9zZ07d4Ft/XuJkAYERmAkAgfWNs7EAhdCTw+MLaLgKGOhwsjd4whj1bcgQDpwKXK5TaxnT0WhnZBoktGTGwQvH108PB0hLunA9zcHeHsYgNHgqKpmQnB0RZOLtawtCQomhjBiFSfCSlFMwsjmJlzHfdzNKH97eAX4I2WLdPQ9/YeuHfgQCybNxWXJw8Walf9Of8uF22EHZNgZecLT70idAxTQMh9VCUIV67dJK654uIyLF20CHNnTEXOti2KIqTr+ASB8ARdp1eAkGeo10B4k+z/C8LGYFLvY0DLajv6kWpbI5DVHUftTcBOA+G/xv44COvhx+BTw5Dhx871DEOGIvvR3TsVEObswfmz5yGEJlll1SXk5V7EF/M+h5e3H8xteY49RYmIxA19aWVmAXtHD4IF3YzD4wgyDwGfKW19DL4bDT+1CxC25tCoXildxbnDPauotmGJOCmyRhsep5YU4a4fv8I9Qx7Avfffg04dWxMIQ5GYFAlHVysYEXyMDDk86g0j6yAYeybDwCMFhm5JMHAjILqSu5Dr6L2onetcePohWRcPE104gcsLScmhCmhJdQYGeRIc3cld4eJqLzrye/q4wlFnCStrQ1hYmJCbwsbOFPYO5qRQzUXp4moLX193pKTGoWfPjrjj9u4YOvRB7J/3AWrF9/73ZotKlyC0dPCDW4gehOFpBMIkEXZnEAbEpQhFyFZcXIqlpAhn03W9e8smAcJf9tMDHIdEd7EiVDrUayAk4wv8ptrvgbABxFT7NAUm9bHq2hPpBbKuASDpRRmy/iquDsNqIPzXmPxzlu2D1wLhjg31oVF22U4oXcKR67k8tHM7Th05KMYaPX38KHLPnEZhXiG2b8/Bxs1b8c5776BH925ISUqim7C5+G0NjUkFmtvAxNoBDm7ecPb2h6N3INwjE2EXFIO0WP3sE9cxssyNcB455oNbOyDUmRSWeyCiXAMRrvNFjEcIQp38EesZgiBXTxgSWPj9x9EN99ib9R3qpfMg3Fs+egSPPzGKIOWLzp3bIysrmVQbqWAPB5jbm8HUnDvVc7KMH4xdE2HokwFDr3QYeKbAwJ1UKcHR0JPqPZNEaeBBzvVuVMf7C2gmEghD4efvSZANE7CNiQlCREQAQsP8EBLiBxsbK+h0jvD2dyVVaEHwM4G1DQPQAjpSjDoXO7i62cPTy5nA6Ya4+HB06NAKt3TvhLv63IKnxoxEfvYwPQibh3Oo+qkOCbBgEIbGQReRTCBkRZgEF1aE3tyPMBWr9G2ExUU8Me8SfDF3Fvbt2CoiHTzoNvchFKFRUoUMRA2EZH8rCH/P1WHRq4FJrfCGEAzVsFODVr2fOgmnAThVx9ZA+I80nqrnat4YhNx1gv9x7eYNBMKpCghPHa5PlpEgZAByeYSUH/tvRw7hwskTuPjLz8j99SQKT5/ChpUrMOGTTzB18nRkZrZGUHAIKRFu81MUlZG5BUzs7WHhFiLGh7QPSoCOB9+ObQldTDrso+kGH0ggTMoQ0x017lD/V3k13ex/fnsQNj1zD3a8MBA7nh+Ibc/epyw/OwA7X30BAzr2IjVoCH8bHd66pQtKJnCYtuFxqlg5TRuFD99+HiktkjGMVFVWRqKAVADBycHdGjovVxibKqPDGFpFwsiHIBiQCQO/DBj4pBEYW8DAN43W9e6TCgMvdgIluaFnKgw9UmHkGAQfX0/ExIUiNjoE0VHBiIxgGAbC398H1laWov+il58Oji7WsHe2hKOzFdzc7eDh6QRvUoq+fh4ICPRCFL0+q2UaOnVqjVt6dkHf3rfg3bfeQPH0MX/7aDJqFyDsGA8LOx8xmTP3IVRCo3oQcmg0JhXLV69DdfVlXMzLxeIfvse8OTNEP0Iea5STZbhDvRxijWF4jMr927fh2IH9KC/lUL4Gwr/erheEaoixXQtMQxq9lr1Bkg0tS0A2gKDe1CpUvk4D4b/G6kBIJKylkkEovWGyzCRsX7eabhj6sCi5CImS8uOO8xwKLT57GmXnzuI8qT+uP0Q3mJcefxQvPD4GXTu0ha2tLezteagwI1haWcGKfODABzHwwRGw9fSHbWCYGBLLLTINzvQ07xSeDrvwDLhEZsElPA22AYlomUAgbGJkmb/KebxSMcLMLG6PJKXHzsuzqZz7MBYMugeeOjc4W9tjVv/7cSn7IaFW1dM+sXMXg6rZj+LreVPRs3d3JCXEoX1WKrLS40ilBcDTzxkxyVFw8wqh78eFwOoHQ+d4GAVlwSCQYOjPngVDf4KiHwGRS38GYzoBkiFJQPROg7F3Bj1Q+MHb2w2R0UEEwABEhPsjPIwUYWgAHBzs4O7ujOBQb7h7OZIa5exSqvN0EO2JrAAZgOxh4QEiJNqqdTo6dWyDXr26oW/f2/DNJ6+iZtYj9JmaR1iUXYRGOyXC1NaX4EcPUdyZnkDID1XOwbEEwhD4Ryfh+yUrUHapGqdPn8E387/E9EkTsGfrZjFDvQyP/ryHZ5/YQyDUFKGwvxWEjWF3LbsmmNSqjvyKBJtG26/lV2uTvImmgfDPWW0tAU7vEoI1NTXkyjxrrAplaJS20vYabCQlOINDo5vW4TjdEE4eyiFluA+/HNqH/N9+RmVFMXLPnMSmtSuxdf1avPHCc+jVrRN6dOoAS3NzmBhzKr4BvNzd4evjh569+mDS1OmYOHEKfjn5KxavWCP6CjqExsMjgm5i9ASvC0mBa2QLEd5yjUin+jQ4BqUgKz7zpoKwzlXZppyUwwN3b3nxAQTbO8LUyBgf9OmDyuwxV4RE6zx7EPDF09i2cYUAYYvUJDz7yAh0a5+FhIRIgpIT2nbohE49boW7Dw+i7aR0nXBNgkFwW/I2pA5b64HIEFSUoqEEIUGQw6iGnikwtiFF5+2M8Ag/AqAfwkLZ/eHh7iLCogzEwCA3ePnq4OnjDE8qffxcCH4eoi2R1WIIvSYuPgJpLejhgxVhx9bo1bsb7rj3LmzlJCX9oOLNxSUITewJhGHx9CAlk2WS4EoK0d6bFWEyVqzeIB74uEP98iWLMf+z2TjIUQw9CE/uo4e8nBz8Qg93rAiP79qtjDVKD4DlGghvkv0VILxCZdK62hq3O17LNRD+401Rf7WoqqqqAyIvKzCsqasXgCQgXq6twuZNGzF50nhsIxD+fPQQ+T6cO3UExcUXsXzRN5g8/kN8+t4bSEqMR2hYGKk+e5H0wjMZ+Pn54JbunXFbj274fPpMbNm8Dbv3HURxWRXy84tRXFKKmZ9/pWT2BSfAPZIH2ubRZVrSzSwTjgRA5yi6qUXEwSwgHmlxWQTCmxcabey104Yg/+NRmHnfQCQGBNL1aISXu3VD2fjRYltTr2GvZBB+9gTWLf0Wt97WHd26tcUd7dvhvr690OvWToiMCoArqbinnn8ODwx5EC6u3J3ClZShL4wIhsYRnWAY3pFgyEAkCAakwUhAMJMAyGHRFBh5ZonZFywszREQ4IaQcG4T9BZtgww3KytL+Pt7ESAZhJw8wyFQV/jTvgGBnmKUG96Py5jYMCQmRSMtLZ5AmI4undqib++eGPDgUOz5cAQwtfmoQXYOjT7ZKQFGjr50rSTSA1SSUITOIcrA7fa+oUIRLlq2Epc4NHoxTyTLfDFnJg7s2oHTRxiE3I/wAE6qOtSzIjwoxhrdhzItNHqT7IaD8Cpq72rtgFeoxauYBsJ/rEkFKCFYXV0t4FdZWVm3rpQExJpaXKL6TRs3YB49Oe/avhmnjh/B+XOn8fm8OXj0kVHIbJEMY/pNzHlMSyrt7Gzh5uqKIQ8OxuOPjUH22I/w85F9OEhP1WeOHkNNVbUITeUVlCI3twCXLlVi3jcLxAwTyhBrifQEnwqXsJZwiiAQkip0Ijjah8bA3C8O6TF/kyIkr506BFWTR+LVnj1gaWwKMyML3JPYFufee5qUoAKGq/VT5DBi7fSRWJX9Cu68+3a0b9cC7em7e+mZxzDswXsxgOr8/NwIPrH431vvIDEjA1a2DjA2dCYgusHYPgpmoe1hGNGRgNiOFGKWUIRGnEzj3YKASOpQF0W/gQWcHKyUTFFSdcEhPgRCfzg42opQdCgpQyWLlJzgF0gqMIigGBSsryPndsF4UqlJyTFIS1FA2LVzO9x5ey88/tTzODLpSWBy82kfZBdthARCYwcfMaoMK0InzhoNoYersDg4+IbBLyoRCxf/iOLySvz22xl899VXImuU+xGeOXIEpw5waJQ71DcGoTL7hNZGeLPshoKQFuqSY/T16vZCdTuhur4xDOuOrdqmgfAfaTIUeunSJbHeWAnKZYah2tavW4MP3nsPc+fMQp9ePdGzW1cEBXL4Tkl08fDgG2og7uh9K+bPm43PZk7DSVKO+efP4Nfjh3H6xFGcOXYUh3ftwZmTv6GolAfdrhADH3Pb5FcLF8Gdbl48H6FrOA+JlUQgzFBAGJUOZwKhU3g8bIMSkRWrB+FNyhplZ7hVTaG/zRmj8MV9t8PZ2AKO5nZ485be+PX1Z67rvYguHqQKl781AqNGD0O7jpm4tUs7vPzYI3j26TF4942X8RAB0c/HFYHBwWhNCszNxxFWdvYwMXUkIOpgYOQHY48WMA5uD+PQTjAJ60xlR5gEtIKJaygMjc1gZGgILy9nBIXyqDX+BDkf6Fzo9cbG9Bv5CjUYTCoxOIS3c6l4YJDSLhgeEShCouysCFOSY9Eyi0DYpT1uJ0X42mtv4MzsF3F5YvPoSC9dgtCEQOgiIMihUR5iLQ4edE2J7hMiNLpRjA2Tl1egjCwzazr279QrQgHCfcrIMioQytknNBDeLLuRIFTDre5Yajheo75Jp/cmTQPhP9akImTYsfMyK0A2NQC5zXDlypVYtGQp7r//fpHk4uPD413W952LiYlGr1tvwbdff42N69fhSM5ulF08j6JzZ3H2xDH8dvQIfjlyEEf27caRXTvxy4FDKLyQj4KicuQWlCAvt5AAXIPPv14oBt228o8hNRgHlxCemT6TQJhBijCdnENd8bALSEJWdIubDsLqKQ8SBB/CspEDEGbPiSxGeKPnHaiZ/Bgw7fpDhDy6TNFnz+P5l59Fl25t6PsLwf19e2PK5E8x9pP38Nn0KXj2yccQSgCztjGHp687LOwtYGHDY4Vaw97WGaY8XZOJB0wcw2HhFQdz3xhY6HiMUWW4OXtSfgEEtcBgH1KYHnBwUvpmOuucEB0TSmrQUyhCVopBwV51zhBkOLIa5LBobFw4qcIIpKTEolXLNHQjRdj71u548403ceGzl1HbTEFobO8D14ikuqxRJ1KEHvSQJUH446oN4vouKirBMn2Heu4+0VARNgLhLh50e58GwptmNwSEjaB2xTBsdGC5rfF2tfpT+1VVogbCv9ukymtsTdWxMfQYflIVSpNAXL58OT755BM89tijcHBwqLvBSo+MDMXQwYNIvTyATat/wumfjyH/LKm882eR/9uvBDseZeYgTh0+hKN7duLwnl04eWi/GGXm4LbtuHj6HMrKq1BKXlJcTu8TmP/dIgJhAiz9ouFGwHMNTSEgMgizRGjUIZoUIqlCB/9kZIano2jszQNh9eRBwJxnsP25kUhw4dkdDHB/q/Y4/+kYXFZBUBnG7ervSXT8n/AAdn4yGk8/94RoI0xIjBRKa9KETzFn1lTMmzsT8+fOwsvPPoUgf18xI4SlraUYINvU0hhOOnuYmfIQc5x8xKHohr+NNcHSN8Ad/kEe8PR0gp09vZbqua02NDwQoRH+Qv2FhCoQ5HZCWTIYIyKDhEsY8vtjELZpzYqwHe64vTdeeeUNnJ7NIGweY4xKZxA+zSC0U0CoI0Xo0ACEYaKNcOmKtQJhJaXlWLF0KT6bqQKhyBq9MjSqgZAuIs2al/3XfpOrAY1NvU0CUfrV6tSWl5eHs2fPYuPGjXjwwQeF8gsOrg95mpmZwdeXU/F9aNsAvPTyK1j4/QKC3m8o+PUELp44hNyTR/Ebge5nMRN9Dn4jBcgw5PFFT9L6zwdycIy2Hdu9C4e270ThuVxUVNYiv7AUhQXF9L6ArxYsJvglwtI/Gh5RiXAPJxASBJ0js+AQkQaHKLqxcYd6/yS0isq4aSCsnvwgqqY8iqn33od4kclpgG5hGTj1/pOkEBvu+3tjmFZxn7upI7Fk9jg8PHo4enTvIADD0xm99/YbWLZ4AeZ/OVfcmGdMHItRDw1GVGQYrK0txSzyRvoBxptyExNjODqyYveEi6sTbEhBmpub1Y3S4+fvg7hEUoNhCgSVcKgEIIdFPUU7IkOQQ6OsHFkRMghTU+LQulU6vd+OuPfuO/HMsy/glylPkbpthoqwYzyMbL3oYSqZQMiKMAVOwcqkzgKEMSmkCNeLa7+8jEC4bCnmzZqG/Tu3idCoHHSbO9WLrFEC4dGd+tCoBkLNmpP9V34TNcBYrclSLrOzguOSTYY6ZZ1cl9ulMfxWrVqFdevWCfilp6cjPDy87qbKAy9nZmYiOTkZzz33LLaRips9exY+nzsbx0nlnf3tFE4eOYDfjh3Csf27CHp00zi4V0BPjCizv354Ne5L+MuBvTi+b5eYhun47j1iGqaS0krkFZagIL+Y3i+3ES6GW1giLPyiCICkCMN4Ql5WhJlimCwHDnURIO0DU9CaQXgTQqNVBMHL00dj3oihcDS1oe/GBEMz03Hibc6YfIgUXtMh0asCMfsBXJ73JA7mbMfQ4YPQ69bOBMI0+Pl64N23Xse61T/iu+++xJwZk/HJu6/jhaceQb++tyI1IRY+nm4wMTUhwNnA1oaTXixEBignJjEAeZm7RXDJ6s+IFCSX/Hva0z6ZmUmIjuZ+hJw446uCIWeIckiUM0v9hTMII6OCSRUqMFTaCFPRvVsH3Nu/L556+kkc+fIj1E57CJeaVT/CUXimQwJMrEgRRqXBMSIFDuGpcAxJogerZH1oNAUr1ipDrJWWlmH5ElKEM2Zi7/bt+qxR7j7BbYRqRbhbyRoVIOTuE9rsE5o1A/u3/yaNIad2ruOQJsOQszwl7DjRhetLS0tFvdp4nfc/evQopk+fjlGjRpHC84anJ49gUq8q2rZti5EjR+KZZ57BXroJnDhxgo5XIo5xiIDGE5huXrcaJw4T5AiExw7vx1GC4AnV0Go8uox6/FGljodb2y2mYeLBjHmGep6GqaC4TICwpqa2LlmGQ6O68Di48EDJYaQIuftEGIMwEc7RiXAITkHLmL++Q30lQRDTX8CaMY8ixEn5nj7t3wel4x4HZvE+VwKAw6LlEx66Jgjx+VM4dXQfKcKH0LtXZwJMMqm+ELRplYkfFnyF7xZ8iZlTs/H+6y9h9LCB6Ne7O7q2zURcdDD8AzwQEOANF50TLCzMYEpgZNXHQ9PxsqmpMcHQQoRD7RyMYWpGip7qM1rQw0PrZESGMwgZdgoMuVSDkNsHGYTciZ6dk2o4RJqYGIWszBR0aN8SfXp1x+OPP4KdX4xF1bQRqGwm44yycz/C5zskwtzaD67R6QTBFPEQ5UjXEkcYWBEGRCdjxRqljbC4pBzLF/9IIJyDnG2KIvzt0CEBQp6dXoLwBDmD8Cg97CndJ/QD5f4J00Co2Z+2/8pvwuCTJbsEXkVFhSgZilwnFSIvS+O63377TYQ933vvPdxzzz3o3bu3GNmFvz9Oo+f2v4SEBIwbNw5Tp07Fzp07UVZWJrzeCL41Vdi2ZRPdoCdh8/o1+PnoQfxMIDxOIDxGIJRDrLH6O6mCogQig/CXgzxKB6nCPTko0M9HWFBc3iQIXfQgdAnLVIEwXihCuxACYVzLvxSEHMLEvGew+3/PIsub+wka4OP+7XB5Fk+1xHMRXv3mf602QgFCUoQMwkceHYVevTqhVasU0RbnT4CbPiUbC+bPw9TsT/DaS09j6AN347YeHdEmMxlJ8RGIjgxESLA3/Pzc4eWpg4eHI7kD3FzJ3Rzg6mpNpRVc3Gzh5MxTKxkgitRdv7t6kaqLouUAREQwCCUEuc8gJ8r4kEL0RXCQN0KoLoS2B9P2sHBOnAkS44y2SEtAq8xU9OzeCaNHj8D6qW+huhmC8LkOSTC19YdbTAu9Irw6CLmNcPni5b8PwpwcAuEO0Y9QCY1qINSsGdi//TdRA5BhJ0EnlyUMeV32/ZN2+PBh0d43bdo0pKSkIDU1lW6ObuI7Y3d3d0daWho++OAD7N69G9voBtA4aYaNj1tZybCtQU11JbZs2oDpk7OxiUB4kkF49NogrHNuK9y/RwFhDoNQHxq9liIMi70ChI7hCXCMjId1SBJayO4TfwEIa6YOA2YMxfY3huHWtFTxnfWMScJZnk1iJp/v92/8jYdWq3M9CH87fgCPPzmGQNhFgDAuIVwMkP3gwPvww7fzMf7jd/Dc049g4D190bNzG2S1SER8TCjCCVZBgZ7w83WFn48LfHk4NF8dvL0Iiu4O9NvaKCB0tYWdnSmcHa3R65ZO6NgxC7ExIaQ8A/UDb/sKyLEKVDrP03EJhgzCYAKjqA+hMtQH4eF+iI4JQ1JiDJISokXCzIODBmDNpDdweebDzWJmeukChB0JhHb+cI0hRUggvJYibAzCMwzCg3Rtc1j0CkW4A8cPySHWNBBq1gysOf4mEl432hh8MvzJrj6PVITHjh3DzJkzharLysoS34+lZX22ICu/fv36CVX4+eefC8g1Vo8MV/W5eFmAkIdZq61WQDhlIjZuWCNuCCcIggzC4wfoZqEGoUoJShCeFG2IBMyc3QKEBWdzUVp6/SB00oPQISoelsGJSIv6a7pP8CS+PMD2yie6wMWBMzMN0S7UC1ufvQc87VNTr2nKrw+Ej6J3r25o2TKZFFcofPzckJqeLBI3Pnrnf3hyzHDcfcet6NqhJVqkxCImMkioQX/az9vbCT4+jvDycoSnp4MCQVd7UoZ2pApt4OhgAVsrE6QmRuOW7u1J9YcjOioIkZEBBDYOfXInewagkinKIVHRkT5A6VzPo8xw1qkSMvVBUJAffP08RX9E7kLR7+67sHHGOwAp5EvNEIQmBEIepJ0V4bVDo2W/qwhP7smpB+HhAxoINWs+1lxB2Ngb1zdeb8ql8bIEk9p4/cyZMzh9+jQ+/vhjPPfcc+jTp4/4TqQ7OzvDxcUF/fv3x9tvvy0AyW2HapPwk9CT61wyYNkryitQzeOPEgwZhDMIhFs2rMWJI3oIXkMRNpyzcC+tK4MYn5ChUQHCCuTnl5DivIyvFqhByP0ICYSh3EaYBQd9aNSeQGgelIDkqLQbDsJKgiDPO7hoSEsE2ysj5AxqHYS8T7mtcHiTr7ma/x4ITx3bjzGPPYxet3YlEKaKaZgCWYWF+uHRh4fjw7dfw+iHBon2wR6dW6NVi3hEhfsggJSgr7crAdCB3A4eXvbkBEIRHrWDi84WTqQCrS2MEOzvgb59eiAjLR4x0cEChBHhyuDbDEKl+wSPKar0H+Th1QJIlfK8gz50Hg9vHdzcnaBzdYCtrSUMjQxom4cIjz4w5AHkTH8JPCN/80qWGYlnOiaLIeZ00fzwRCAMIyBeDYT0ILZ88bJrgzCHrlsquY3w+KH9KhDy32r93+sfNQ2Emv1pa26/SVMQU9ep16Wrw5lynaGkrmcoSTtw4AD20JPplClT0KVLF3Tr1g3m5sr8d+yc/BIfH4+uXbviq6++wsKFC3Hu3Dn9q+tHkOFzyHCqPK+EXx0ExawTtE7L1dWVYqzRLZsZhJOwdSOPNaoky3A7YWMQCqflU4cOiMxRBYQ5BMI9+IVH88/Zi3xShMUllWJkmQI9COd/x1mjSj9CZwIh9yN0Cc0UnepF1iiPDEIwtAiKQ1JMGgpvJAhJBWLmCPz6Si9kEFhYCT7TKQZlY/sDM7hNsInXXMOvDcKnBAhHjR4uxhdt1TIFMTGhCAvzJ/DYo1Onlnj1hScx7P678dioYZgzczIevPt2eDiawMXOGH4uFvD2sCQlaC/UILubhz09+NgQBC1gbWkEN2db9O3VFV06tRYd9hmE7NxeKAbg1oOQB9hm57FGfXxdSGW6w83NhY5jDytrCxgaGyrXl750dnZAamocHiaIHxz3MDCluQ2xxiBMgLGtLxyjU2DHI8vQteN0tdCoUIQMwtkNQCggSP4ruZiBgmB4aBcrQgJheTG9Uus+oVkzsOb2mwh4kEuwyGW5TQKIjevVoUkJJt5HvkbuX15ejhUrVmDSpElo06aN6OLAak/cnMg9PDyE6rvzzjsxf/58ken5888/i2NI4+NwG6B8TxJ2vCzPJ5fFe6c/bv7Hg21X0fqlKnrt5SpsIkU4bVI2thMITx2hm8Vhghw9IR9XzUfIEPyZndZliJTV4AnuX0j7HaObypH9+3GBFSFBsKSoBKWFBbhcU4Vvvl8EN4KduV8MHCMT4MQzUIQRDOlG5sKzTwSnECjTYBWUhKS4dAWEN6iNkCfePfdKX9wf4iG+19d6J4lRZGpZ8TSx///bGYRfPI3DOdtw74B+CgizkhEbTSAkNcihyJAwH4wcOgAj7r8LL7/9P5wsrMDsJWsx9H8f4NZRjyIsLhLOOms425jA1dKAVKA5XN1todNZwd7WlEBojE7tMnHXbd2RlBAhQMgT87KzKgzTd51g576D/gGsAF3g4ekIJwKolZU5jIz0AKQHAp5j0cDYAJZWFgTQQGRlpWL0o6NxcPwjzRCEo/BU51gYOnrCJioBdqEJ9FCVLKZh8mAQehEII1Px05pNAmFFxTz7xBJ8NnM6gXAzzhw+oihCfYf6U1T+QhDkDvVH9uwiRXhAm31Cs+Zjzek3kRBRw0SCjFWY7OrA22Q9J7qwM+i4Tprs3P7jjz+KkCc7J7twhif37eOkF1dXV9H376233hLqkFUfv059HF7mc0vgSZPvUS6rSzZeZhCy8xRMlew1pFIv12AzgXDqxHHYvmGtmHSXwcfA49FiJPi4bLwsJu/dqzgPv3b4wH6cP3dRgLCUbkTlRXkEwkv49ocf4EGK0Mw/Gg5RiWKmCaewJAWCYalwDyYPTYN1MGdQtrhhIMSskTj9Zj+MSgsSN/6MQGeU8ywRBMKm9v9Tzsf9/Cns2LgKd9zVG7f07ICszCTE8rBnQT5CmTm52oh2w3533YIuPXvi4xW78cFhYOD2aqR/dRj2T82G9fB3EPnk+2j1xMcIT+8GJwcLODqawsrCAGnJMejbuxuy0uIRxxCMV2aoFyCMDCQQKmowPIIH3vaBq5sdqT9zmFuYCAByB3xD+h5kR3we0Ubn5oyIqGBkZCSKAdZHjn4YB8aNJhA2n7AouwLCaBg6ecIuOgn2dD3p6BrShSYqIPSOgD+BcMWajQJlhQWFYob6z2ZMEyCU8xH+zEpQD0IOjR4VINyttBFqHeo1ay7WHH4TCRCGjlptCZjQOoOIQcelhJJanUm7ePEiNmzYIMb0HDJkCHr06CGyOsVNiJwhmJSUhIEDB2LBggX4/vvvcfLkSXEMNfzk+eV7kO+PTb38eybCohKErArFHIW1BML1BMLx2LZeASHDjiF3lJ+U95Li00OvMQx5G48ww5mjR/YSCPfvEyAsLlJAWCZASIpw0WK4syIkEDrS07xjRDwcVSB0CyEnRWgdkkJKJ+MPgVAZ+qyhcz1D8MgrvXBLsA4mxobwdTPGysc7AtO4s/yVx/mzztMw1c59HFvX/YQ+fW8ldUVgIbgwCDlj09fHBe4+zvAhIHZsl46EqADcNuZVZM4+BoOPd8Hgfxth8PYOmGUfgfMXFxHweQlCu78AnY05LMwNkBQbhn6390TLjCQkx0cgIS4M8QnhAoIiNCqyRpU2wlB91qiXtw7WBEJ5vbEbGxlTnRWcXZzg7uWK8MhgJCZFIT01Di0zUzB8xAjs/5RDo80QhB2jYUSK0CEmGfZ0PTlLENI1ZO9FIIxKEaFR/ovg+Qh/XMqKsCEIuY3wZM4+nNqnKMI6ENa1EWog1KwZWHP6TSQEJfwkoDjcKVUfA5DreBs7133xxRfIzs4WHdhDQkJE2JNVn7wZtWrVSoDxySefFN0cWClK4/NI4DUOq6qhJ9/b9ZjciyHYJAg3rseU7LF0E1+NU4cPCugx5I7s3ilUoVB+ehAqIVEFlLyPUI20LBQh3WQuEAgLi8pJFUpF2BCETgzCyCtB6B6WDuvQFCQnXh2EEnIVE4ahnFwNvjqndUwfgfOfDETnMKVrScsQB2x4qh3BaiCqpgxruP8Ncu5qUD37Uaxa+h363XMHEhKiEEmQ4fAld5b39nGFN4cpvRwRFuqN+EgfxMTHIOWlb2E17jCMs4/C+LXNMH5qNYxfzYHDoNlw9I2FNUEwPNgH/e+4FZnpCYgnAKYkRYvQaGJ8uFivAyEny4T6Kn0FReaol0iOcXd3hIurA3QuDqQSHQmQriJ0yqoxgl4XHx9Jx05BVos0PDh0GI5OeqJZTsP0dIcomDh4wokUIbcr14GwgSJsDMKpDUAoxxqVoVENhGQaCJufNaffhEEjXYJHLkvjDurFdNPn9r7BgwcLwPn7+4tpceQwWNzdIS4uDh9++CE+/fRTkRjDwCwpUUZ2YZMglWFXBi0vq2GodvX7+T1rDEJ2AUJyts0bN2DKhLHYslYBIYOOAacGoVB/ehiyy7rj+u3cznKEFOFFBmEhfbaioiZB2FgRuuhB6BFOILxORagAsOF2BYiDUTttGKomD8eQjEgFgv6OOPpGX2DGcKqv3/9GO3fUr5jxCL6cPRn3DrwbbdpmicxMBiDPBu/lTRD0cBLtdR7eTvAPcoe3kykyuvZBq692wOabX2H32h443zUH0Xe+DTffMNhYGSAkwFN0tWhBii2cjsN9BtNSY4Unk5JLIBiqQcjDrEkQMuzY/fzdBBB9/dxo2RV+AW76bV4IDQsgEEYhLTkRWRlpGDVmTPMFYfsomNp5wCU6GY7hib8PwiVLxIhJTSrC/QfqQcjXsQZCzZqT/X9+EwkDNRjkstrV9b+3zCbB1NgKCwtx/PhxbN++HXfddRdat26NoCBuh1IUH6s/Ly8v+Pn5iZFf1q9fj82bNwugqY3Pw+eQilKWEoa8zstyP/m+2Bq/12uZ3INLhqDSRlgPwk0b1mOyHoScDcqgawxCLiUM1S5hyCBkRXju7AUBwlI9CGtqrwShGEmmDoRpdaFRq+BkUjm/00bIwFOpQLUqZNjVTH0Sr9zSRfwO4fZm2PZ0T9F1grtQ1B3jL/DqyYNx7KMhGP/xu7j3/v7o1LkNwsKDxAwTHu5uBER3eHrp4O7hCFcCpIc31fnq4OdpBY8gf9z22ifo9/RkRMS1gaWNMVwcTREfEYhePTsKJcgd7lntCRCmkJIkCCaSKmRFyHVKFwpFEUoIcrKMTJjx8nYWpa8fu6vSpYI8NCwQAQG+dP36o0fXzhj9yBgcHMtthM0QhO0IhDbucOEZ6sOuA4SkCHkapj1bN+EsgZAH3Va3EdaBkK9tDYSaNSe70b8Jg0I6w0TWSVNvly73a2zcv48Hs2blx8OZ2dvb18GPndv7OAOUE2E43Hnq1Cmh7NTGx2fASehJV9ez87o6TMrWeH+2xmVTJrcwBOtASEtVtQR5Wt60kUA4/lNsXrOqLlGGAcdthGpFeN0gLGIQFqO8sF4RetDNy9yfs0Z57sEEOPPkvCpFKEGYlHBtEJZPGIqK8RwWpVIPQfZa2v/0+8Pxv17c79IMjoYm+HxAFjB16F8OwUryy1MG4+OnhuHpF19E//590KFDK6SkxJEKdBOzRzAQXV2d4Eaq0NXdUXSL8CaV5uPrCF8XG3i5mkPnagQXF2MEejuSAoxGzx4dkExqjbtGREcFIzIyCPGxYbSNFGFSDD00RAoQyqzRiDB/hOgn5GUQsgJk6Hn76MidRenF7ZR0Xn9/T1p3g07nCAdHO6SmJeC2Xj0w/KHh2Jv9lPjermeknZvlDMJn20XDzIreM0HwShCGEwibbiPcs5UV4SHVoNs5ovuEFhrVmwbC5mfX+5uob/y8rHZZx2pK7RxmlPVcMlDksgSTNIYQd1TnzM3x48cLv/322+ugZ2pqKvr6cebnI488Ivwg/aE1Zer3pPam6qRLa7zcePv1mNy7AQhFGyFDtoYU4TpMGveJMv/g0cNXhj9VEJTLMmGG2wdPMAhzduEQ3VjOEwjzC0pRRDei0oIC1FZX4ttFS+EVlUogjINjRCrdxHgKHR5dJhWuBEP3UCrJLbn7xPVkjbICVEHw8vRhwPSR6JeQIH6bEBdnzO7TWnSWr7rWcW6g12QPxKmtP+Ll//0PfW7rLmaeSEiMQHhkANw8nWFpaS4iBWbmpnBwsIWjkw3cCIgctvT3J1h58zRLTogM9UO3zm3Rvm2GGHEmnOAWRWUcT6YbE4oEUoGZ6XFi+qSEhGgBwvg4CcIAAcKgIG+h9hiErAIlCBmK7gRi7jPIs1pYWpjD0cEeYWFByMhMRPce7fHg8IHYPPcDXJ7Z3EaWGYUXOsbCgkDoGpoMJ3ENpcAphEHI0zCFwD8qCctXrxfXu8gaXbxYKMLdmzfWT8FEavAEge9n4XQtkx/atVMMun1J9COkvwnx1/L/Nw2Emv1p+yO/SWMwyFIqJgYfA41hxyXX8bJUWWrwsXE9j+f5yy+/iBFbHnjgAfTt27cOfuxOTk6ic/sbb7wh9lm9erX+1cr55bHluXlZbpOlXJbW1HrjOram6q7H5KuuACFBkLduphvF1OxxIjR67sQxoQol+NTwUy+LvoXkJ/fRjYVAyBP0HiQQnjtzXnSkLy5QQHi5EQgdIlPhEEE3MnqKZxCyKnQTHexTYBWYSCBMvUayjKJQuGQvzyYlSBCs+GQI3r21JUwNDZDg4YVtL9wDzBn1l7YJNvZqAmHh/o14/uWX0evWLqIzfSwBKjTcD76BnCzjRvCxEX35TIyNxbXEM0s42NuQCrQXg23HxoQhIZ7gyd0ggr2o9CUV6I/o6EDExYUgPiGUABiFli1ikEKQZSjKrNFIfYf6UP1g2wGBHBYlyAZ4wsvLla5bOwKwjZjRgqdx4hkuWKFy+JbnJ0xNi0XXrm1w/4P3YPWkV1BDDxaVzWwapuc7xMDKzlsMyNAAhBGJcPDWg3DVOnG9MwiXL16EORwa3aKAkNVgPQj3qEC4A0cPaCDUrBnZH/lNJBgag4MBJ4HEJTtDSSrCxraP/kB++OEHzJgxA+3atUPLli0bDGbNyz179kT37t3FuJ88kwMfSxofnwErISuVpnwP0hovN34vTa1fT93vmdy7IQjpPVLJtnXLJkybNF5kjZ49flR0nmfoSWUo1aF6mdsS67pREAiPkh/a2xCEJSpF6NkYhKJDfYpQhJw5ym4VlIjE2GuDUMKQvZr2uTz9IbzZqaX4nQJ0ztjz/L100xzZ4HU3w2snPYDja7/HmCefRM8eHUUfwpjYEAFCH1J8nl7OSqKMpxN0OjvY2PLkujzmqXKNWVmZiQl3eZJeVove3jpSdl4EQVaDweQ8ZVIEWmYkoG1mPDJSo5GcRIqQwBkbE06qMZgUYSBCguh8Ph6k+nhwbivYEWgtLS3EORiAPBEwH5/bDDmblTNHo2NCCLAx6NypFe4b0A8Lp3+EylmPoJInG27is/4dziB8pn0ULOy8RDjUkdyJR5YRIEyCg08o/KMTsXylAsL8fAYhKcKZpAgJhHUZowzDnD2iD6EGQr3xxaFZ87L/72/SGBAMI3apzKRJaP366694//338dprrwnAcWd29cguPEkqZ4C+8MILonM7jwHKr5HGx+Fj8zm4/6AEoTwnl/x+ZPlH4XUjrWkQymSZy9hCinAKKcLNa1YqoVE99BrDUNaxqxWhbCPk0OjvgdCRQOgYrleEDEH20GShCq2CEpAYl3LN0GhFtgJDhiDfHL+8rxusTczhZmGNRSP7kBIkJdPE6/5qB4Fw7WfjMOShEejerR3S0+KEIuQpj7z9OFnFCe4e9nrnsUQdxLBrTs42cHS2I7eFlY05jEyM6NqzFuFLa55/kMAo3IagRqWPtwuSSQX6kcpzcLCDvZ2NcDt6ja21NawtLWFmqgCWQ7GmJjzhryUcSI26uNoLIPN7YffxJdgGeyIqKkh01u/csRXuvvt2zJg+AWWzH0P1xEFNfta/w/m3frp9NIxt3KELT6IHKQIhPTwpodFE8MS8flEEwlVrxbXOIFxKD7dzZkzBrs0b6kDIyTIMQA2EKtNA2PxM/iYSHGqIyGW1N1XP8JFgYmMQ8vx9nOzC8Lvjjjtw2223NUh24ZAnT2bL2+bMmSP6Aubm5orXyuOw8fEl6BiGUgFyPS9L5amuv5rJ9yv9rzJ55CtBqO9HSCCcNP5TbFi5Qig9dRhUgk+qvwYg5NknqK4xCPPzfh+EPGiyGoSuYUmwDIy7JgiFGpxIN8VZD+G3V/rhqcQQuFpawcnIEnPv7kb1I25am6DaawgYF2Y8gWkfv4MBA+5B586tkZIaI+b748QVvwDOGGUQKvATMOSxRL0cRfudrz8ntShdHDy9XODnxxmfnqQKud8hO2/zQUBwAHr37oJ33n4BXbu2o3p3uLg5wcXdCa5U6niZS1dHOOrsRd9B7kPIKpTVqHwPPOIML3NXCu5ryDNXpJK67NguE/3u7I2P3n0NxdNGo7o5JcvMGYXnusTDyJbUbiQ9SOmjCs7B9SDk0OiylWvF9Z6fX4Sli34QbYS79G2ErAaP71UAKGHIs0/859sIeQobeSPUvHk4/yYSCmo4qGEhl9klkOQ2tXFfva1bt4rO7Tx/X2hoqFB68lzcxYGzPHkwax76jAe/Vqs+aXxsPgcfjyHHYJSg42W5XdZJAMpleQxZJ5fV1lTdjTJ51IYg5KzRekXIINy4aoXoRyjbASX01IpQdqNgMAo48j60ziA8qA+N8qwTxYVFBMJ8AcLvGISRKTAPiCcQpsCBoCdCoxwSjUiDOytCAcJYJMYnXROE3EWi4IMBGOTvJX5DWzN7vNOllehEX60aqJuTaNSv/Su9auw9qNz0JSZNm4E7b78F7dplIDEpEpFRgQI0fgQ5Bg8DiUEknevU3RpE4kyAh2jjY4DyUGmxMYGIJwWYlBiF9PRY3N2vB5594iHc3qsLqTj6vnh0mRgedJuHVfMW8wxyxih33hdZonR8hi87w1DCmM/FYVE+D7/PpIRItGudjjv69MTrLz2NgskjUTO5eYHw+W7xMCBF6BSVIq4jxxCpCDlZhhUhg3AdXeNAbh4pwkWLMGe6ogiVRJl9OMYqcHcTbYT/ZRBq9vebBAADRQ0JNUwkbHhZOkNHHfJkY0hxmJKHNGP4vfrqq2KyWu7cLuFnbW2Nu+++G4MGDRLz9xWQauF+gWqTQONSvC8q5Xvkc8p6+Z7Y5P7y/fE2Xmfn5aZM7s/bpf8VdjUQVuuTZbZs3iRCo5tWrxQglLBjb9x/UA1CqRCFItzNaeg5uHDmAvILy1BUVISiwnwx8S8rQu+oNJj7xcI5gm5epAZlaFQky9DTvS4iAWZB8aQIrz7oNneDqJw4HM9mJorf0t/WHgsG3El1w1Az7eYrQemVn96NglVz8MG48ejVs7NIlOFxQBlkDELO1lRAqIBIaStUFJoEoXR/fw8EBXghJNhHJMtERwUgnifPTYhAWkokOrRJQvf2qWiXlYwWKXFISYogUIYgkvYNDfZGUKAXHYMUpDdBUN8uKSHIzmqQ13lmCmUme28xLBv3SWQQ3nZrVzz3+EjkZw9tXiDkNkJShAbWbrCP5JFlkuAcSoowJB6eUhHGJBII14jrvaCAFOEPP2C2AOFGERI9QSA8ziqQQMguQEjlITFD/V599wmlb+2fMQ2Emv0h4xs/A0WCRQ0ONXQYblKJSfBI4xsuj+nJs7E//vjjePjhhxEREVEHPm4nYZV57733Yty4cWJ2dx7IWoYvpfEEsvL8jeHE67Je7Y33kXVNLTeu4+PJzyOX2Xj7jbamQShDozXYskXJGmUQytAoA6+xSzg2BiP3Nzy6g24mO3aj4OxFFPEUTMWFKCy+gOqaCixYshy+sS1g6RMHt9A0uJIadCUQ6kR4iyAYRUoxJh7GQSmkCNugaNzgK0DI44Ni3ijMH3QrjEys4Gpuie/v6wVMGfW3QpBHlCmb8hA2fTkRTz7zNHp264BMAjW3D0ZEBgjgMOAYeBKGagiqQejr7wqeQDeYYBYW4osIAhS338XGhhOoIpGWFoX2bZPQtV0y2rckEKYlIImUZ1xcGCJ5dnpWeJwxSiD0Vp1PKlAJQeX8zkI5ChCGEQjjw9GmZSpu6dERj40ejnOznyMQNv2Z/w5nED7RkUHoKSbltQ9NgCNnjwYniplN7H2VaZiW/qSAkLvvLFq4kEA4WSTLiP6D3D64d68AoAQhzz5xYNd2HDu0D+X/1UG3Nfv7jUEg2+G4ZOc6uc7LbAwICYn8/Hxs2rQJu+giZvB17NhRhD4l/ExMTJCcnCLqnnjiCSxdulQku0hTn6u6ipar+TwM4HpYqb1W73Xrdfs03Fe9z7WcX8/wYxiz83EkFP8KuyoIa1jVMgg3iZFlNq38qQ6EjV2CUEJRhkq57uienTjKT9W79iCfQFgsQFhAQLxIn7MCCxcrILTwjiUIEggJgq7hyaQGk+FMT/YupAadopJgEZKBlIR2pAjrQSj6CU5T+gkef+sBdInygamRCWbc3kkMrF01pekb503zsfcCyz/Fuo0b8cD9/UTCSVpaLGJigsX0S4H+7vAldaZup1PDkLNDWb35epMa9HMjRecpnLtBMNwYhHExoUgmxZaRGoMu7dPQuV0agTAJGemkCJOj64ZZC9WPKsOjySh9BxWX52QISihyf0Ie/o0n7g2l98lZqZzp2rVLGwwdMQTblnxBvwF/xuahChmET3WIh6GNDzwiW4isUQcGYUgCgTBegNA/JrmujbCwqBiLv1+IWdPqQSi6TuiTZDQQ3mTj0NuSJUv0a5o1MIICG0OBoSRVXxXBSW08lieHLxcvXoxZs2bh5ZdfRnBwMN1EvOvAx+HP9PR00fePB7vmtsFjx44JaLLxcXlcUG7n43NJlam4Mp2SWhXWVOvLxk71fKymtlUTXBrUNXUMfR0fQzk3f24FygxJNlneKJNHawhCgq9oI6xVskYJhBsJhJwEowYfuzok2hQIjzEISREeJxDm6UGYL0FYW68ILUgRSgiy6yKSxCDcuohE8lRYBmchKTarLjTKk+Dy2KEMxi8Gd0eCh6/4vZ/vlIaqiaMbtAn+XV49YQBqvnsTc+Z9hn539EL7dplITokiNegvZp0I8CMoiUxNxRuD0IdHfKHtfr4EJYImKzqGIA+VxkOmMeDi48MIhJHI5L5+HQmE7dPRoVUqMtPjRRcKBiGPNcogDApVQMgKU4KQz8vwYxBK56HeWBX6+XuITvjcIZ/HL+UuFPcMuBtfjn0TtQTCvyMDtykXodFOCTC384N3RDocQ/QgDGYQJsCBQUiKkNsI2epAOHVSXRthnSLUw1AD4U00Vi7cAVuzK01RR/UKSW2c4bn/wAEs+mERHh49GiNGjKCn4yiR7MKDWPPA1llZWejQoYPo3sCA3LFjex1k/olWQ+/7RkOQrWkQkiLVZ43WdZ9YtbJJEEr4NQahaB/kfWRodGcOcs9cQHEJgbCEQFikKML60CgpQj0EXUkJMgB57FGX8ERSiumwCkpFUjRnjQ4SM9TXTB2GysnD8GoPeq2xCUyNDTCqZZiiEqc3nEVCjjIjl9Xb/irncG1F9iCs/OgpvPzqK7j9th5o2yYdCYnhCCMQBvLsD/5uYpBthp50CUEGVJ0i9HGpA6GEIMONxxFl0PGMEwKEnVIJhulo3zoNGWkJBEJlmDXeP4QAKhWhhK76nDI86uJqK0qu4335dQxc7kvYsUMWbr/zNmS/+lgzA+FIPNsxEZa2/nALToYDAdBBdKhXQMiKMDAmRfQjZOMh1hYtXICZU7JJEW4QE/I2qQh314OwjK5ZDYR/kU2YMAEDBgzQr2kmTd7wOSTJk8PyOndxWL58uVB+Ax8YiBYZGYiOjq5r65OhT3ZOeOFuDtOnT8fatetEGyEPbs2zQPAxVq1aRb5aZINyHZfLli0XiTS8zPssX/4jVq1cRfVLseKnFWLbSlJFP/3EZdP+EzttF/v8xPuS8zaxrq9X7SuWaR/hok5f0n7Ke1gqPi/PQ8hqkb8H8c38//8OrzB5qKuBkDvUsyLctEZJlpEAZJewuxoI67bv3KkH4Xm6CZWhoDifFGFugzZCoQjpKZ4h6BJGAIxIgHNEHNyodA9PhU1QPNIT4lE0fpASDp05Ap890BoOZjw7uyFe75+E0nEDcHnGQ0ItNnXDvJnOUy9VTH8YP3z9JR57/DHcph9RhhUcg9A3kIDk5wJPUn0MIwaRBJKEoQ8pNgYhK0IOjUpFyKPEcGiUR45JjItASmKUAGG3jgoIO7RKQ1aLJCQmRgpYMgiDg5UxRv3044uqASgVYT0EHQQsefSZYAJ2dGSQAGG7ti3Q+7Zb8PHzo5XRZZpRaPSZ9gkwtfYlNUjg4zZCAcL4utAog/DHlevFtS5ASIpwxuT/Y+8sAKs4vi6OO8QFDxYcgmvd3b0UKcWt1N3/FUqpQHB3KNriToDgLsULxS0QCPGc75zZN8kSQr392vIu3Mzu7Mzs7L7d+e0d7efqNeoB4RUsQi8I/0Jp166dWX7HK5eKw0H7wDltY99OnMiCoSSKU7Nnz+jpmT2HB4L0y55DmgMlS5VG/QYNUbtObZQpW44vdBkWAmEsAIqjaPFitBjVUaEsw5U0Wqp0Kb74JVA6rDRK0ZosVrwE/UtxP4zn45c7j5emligdxm2GuZLyvCVtmJLapss0w5QWt7V/eXwWipdsh6E086twJXitRYsWxYiRI809sB8Iv/81vFxsWplB6FSNpmHV6minswxBeMgDQgu8rLblukFoYMgCZc+6TTh16DjOxMThTOxpWoankJKaYEBYsnpDglBthLQGK9ACpBUYVKUW/KvURGjlCPrVRIEyldG0fjWc79saGNkZC7teh/I+zqwokS0aEDosEIcSgn+TxfeLSmswbcyL2Lt9Czp16YTbb7sBjRvVQs2a4ahQsSTCCEKzHmDRDBhZIDnVk76mU4uqRmURCoSyCi0ITdVo9fLGIqxfR1Or1cBdtAhvv5kW4TWqGq1lentaEFYQCMsUNemUZHrWKrTnFQCthoTasYQCYQnGL2vaGzVH6r13346P3ngZp8e9948ZVC8QvkoQ5ihUGv7V6tMarE0g1kUAgRjKDyn1GjUgXOyA8JynalQgXB+dqWrUbRF6q0b/HlG7lbeN8MpiOpykJJjtQSNGmkIvhwWgR3PRGsxJN2e27GbfHr9cC1BzmTBZH/851Wwc+ZEvy2NXVuXL2c5DvdRq/S3av3dfcw/SLcI/Ua4EQjug3vQa7R+J1UsXmxXqBTYLPKvW8pPaY8ZvM90N67Fr/TpsX7sOxw4cMTPLnI45jZOnjiAh8QK+m6XhE/WQv1Q1hJSrzYKrnhkU7UsQapFeVW0FhEcgf+lKuLZmBWOFrHznUVRiIa178/KtFZE6tK1ZXf6fYAlaTWI+z/drg36ffYAu3bqa9kHNKKNp0cqWK2qGT2g+UMHGwsgCSSCUtWYsQkLLWoQCmW0jlEUoEAp2Dgir4S5ZhDc1wE3X1kfjhhHpIFR4C0JBtbjpnONYnha8GRB0LEPlRW2JmsqtSuVyBrhaVf/Wm6/HKy91x9FJPc1k4lld+9+tGkf4+u01kce/OAIrN4Z/eAPP8Im66eMI1WtUk24LZWdjzmHG1GkYOqCvsQgNBGkJmuETHmvQAeImbF9PEO7YQotQIHQ6zUl/r3hBmIWo6757BXKvWHEKfFMdmHzR+AwcNcYUfA/XDMPytx/E4lfuw1Lq4pfuxtKX78WSF+/GYqpxX5B7FxbKffc5DGp9DwLy+6BJ+TKY/UozLHz9aSwyYe4xcawuffFeo8tevg9LqKvefAgzO96OcoULoYRPUUzv8BAWvvEMpr3wHOa//CjD3mXSWPrSPVhCVV4WvvIAFr72GGa/+SzmvvI4bgoPhV++fOj35C1Y/+r9WNz9IYZ7BAtffAzzX3wIS16400nDqPJxD+a81hoL32mDx5s6vV0H9etv7kGqXkKz9efJL4KQX8xDaBGuWrLIgNANPwtA61rrMB2GdPfzq3rf5i3YuWkLTh4+jvNn43Eu9jzOXziDVJ5jxtw5KFW9PvKWqIJi4fVRVPONVq0Ln2p1EEgNUBUp/fzL1UXVilXxcN1wVPXTxAfZ8Vjt0jjzTQuzkkRWBeT/p6r9LDGyBXYPeRMfffYZmjatCy2WW6lSaVSsVArhFUuhVu0qBGIZXHtdfTOkIiTUF37+BRAYVAh16lZFGC1Ad2cZgczdRijrsnYEQUhr7ZrGNXDPbQ1wl8cibOyxCFV9ai1CpaH0ihroOsDTuQICC6Zvy00HMUFYVj1HK6jnaDgaEeTXXt8IL3XvhDNTPzeTiWd17X+3auq8t++sjXyBxeFfoRGtwUYEIWFoQFiPIHQ6y8z1VI2eIQi/mzol3SIUCDV4XiogOlOsbeRzuwk7zDhCaxHqnfhj4gVhJtm/f78Z0O2Vy8VYPqoG1JdXqrNm32APCLvfXQeY1IEP/7PUVsCIli7l/ki5PDaSOpz7E17Guo8eQWjhPLiHBWficMYd0YnHbHilIfWEVzpKW+mMb4MT/ZshomgRlCpcGKcj29OvK62PbsAwG1fpsDDW9sjWLJSfI7XbIG0ww4x7HQ/XroxC2XJg2Zu3A9M6Mi6tlxF0RzAfo5meias0PPlRHmjdYPIreOseB4QD+zsW4V8xhOKKIEzJAKEswlVLF6UPqL/E6qNrt62/1f1bt+DAFoZhAbOTX9dqI4w9l4Cz584ShKeRzN92ysyZKF2jAfKWrILilRsiuHJdBGh2EBZcQVqfkFAsEt4YJcJvhm+J6rwfOeFLC71tpWI41auZmVg7q8Lxn6CJkc8Ac3phytRJaHpNA2OdhVcoYebw1GD6iFqV0LBRBLUWatLiqlK1nJnRRUA0M7sQXkW5XYpAslWjApoFYUREBgivbxqB++5ohLtubWQswqZMs27tquacCiuAKr4sQoEwKMgBn39AAaMCYBAtwswgNIPrzRAKrW5RDY2ub4J3nm9NK7zjP6ezDEH4FsuF3H7FCMAmRv35UeUvEFasB1+CsAw/qmxnmTMxsZg+zQGhLML9W9UJTNMBZliDxiK8DIROc0HGW/PbxQvCTDJlyhTcfjsLR69cJk5TGItlWUBpjkU4YsK3Bgqdbq2LpNEvIXFQFyQP6orkgZ2R2r8LUgZQuZ8ykCqXmkrFuO60AO+CX8HcuK12WcQMFHA6ImmAc9wdNnlgF/ozXaaRzOMY/iJ2f9kWYSE+CPYpjMNfE3Qj2iGlP0HVrxXjPW/ykMq8pFBTB3VH2pDOQN9nWQg+h7Th3XBHjSrImS0/5r/9EDC2PfOt+G2Q2rcVw3dGymDGJzSdvHvc4YTjt23w8gPOGnp9I78298DTRPhH3sPLxCZ1KQg1xZqg6/QaFQjNwrw/bE8HofRKVqEB4dZNOLDNAeEPa9dg+/oNOHX8JE4ej8HJ06dw7rxAmICpM2ehBGEni9AsoaP2weoNDAADKtRAkUp1EVrtFpQu3hjZ8geb+9G5QQ2c+YoF4LBLe4f+01Q9R9VpZuWgD/BUi+YEXXnTYUVVnurBWbVaWVMdWbZcScKwNpo0bUBLsDohWYLWYlUUNz1Ggw28bDuhu7NMrRrO0IlG6shyTU3cf3dj3HVbQ9x4XW00pYVYt67Ta1RhBcKyZXluwk2gs1agXANCWYbB1BACMrQIQor7mc48mgtVPUc1ZrFOrWpoen1TjPqoC/BP6jWqqtE7aiF7oRCEVr4WARWbEoL1TfVo0cr1M6pGPcswCYSyCG3VqGaWUbWoQChr0LEI+Uxv2mxAeFUvzPtXy8cff2wWbPVKViKLEEhOocvCUjJi/AQHhDdFIGlkZ76EmuapPVL6tUVaP8KFbqrWoOv3HJXH+rdFMrcFn+VvPoDg/Plwb60KiB3SBilDWiG5r8IqjqNpijOgHQHIeAPl0lob1gl7ejZHhZBCCC5YEId6EKKD2iLuG6VPEPIcTnwHbsl0E5Svr58EBrQkFJvjvhqlkSd7dsx9/QG+sAw3uD3P/SxS+rYgLPllzXg2Hbkp/dux8KTfmOfx0v0s/HnNkf0izT3QoPw/W2yKmUGY7AahmVlmAUG49RIQGqvP1THG7S/V6hOqYtq9kX7btuH4kWPYvGkHFi1ejLXrohHLwmX2wkUoRfDlK1UNWnopsEo9BFQjEGkNhhKKxWs2RbFy9VE4dyBy58yOJ+uVxK4PH+FHSsfLCsR/oqYMaI3jfTvg7Ze6onajhunj+Ny9NoP1oUUtVjzQ7MsybHpNXWMlavyeeova6lGB0FqEAqHmAW1IeN50bQQevKcJ7rmdFuF1dQjCmqijKdZqhhsQKp5AqCnddF5jAVJlFVr1CyyQAcISzF/JAANDDfWoVKkMatSsgqeeehwnB3RC6j9sZpnXbq+NHIWKoljFa/gB1Rh+tAgDKhCEpmrUAaHtLBNjQDjVgHB99DIHhASfVOsRqveo2gfVaWbHujXGIvSC8C+Sxx9/3HTv90rWojI/RYVxqrO239Ax4wwUOtxSE0nDCYx+LaiEUd/mSIlsSbclYUIry6Np1GRaXRjXHlHvP4DAQvlwR+0yODPsOYLQhn82I3x/wklxIlswXkujGNwGuz57AuWC8yOkYH4c+LyZAWvCSBbCg5vRqnPiK55xuR/bj1YfQYoRtC4HPkeLsDTyZs+NxS8/RRB2Z9jOSOrTjgAkEA20mRdC1UlH6dHq/IY6rBvevPdac839Bg4098BYyGbrz5NfAuHqdBAuNHOIaso0CzpBz20Val/H0yGpL+wNhCMLlN2btuLgvoNYtnQ1Jk6ahMVL5+NcbAxmL1qI0jUbIm+pqmaS7cBq/IKvXAvBhGGJag0QHFYVBQs6E+CXK+GL0334mw77d0DQKgY9h9W9X8KLXdqhWq3qBkQWgnJlFQpK1tVgds1HWrduNdQn5FS9qc4qAqCAJrBpkLsBYURlgrAaLcIIPHz3tbjvjqa4+dq6aNKIIDQWoQNCTctWhhC2c5vajjk6n60e9Q3ID3+PVRhUzBehhGGJMAKYVqxmwqlRtw6G/u8VJA1Tzck/adLtTnjtzrrIVaQYipVvgoDyjeBfsQH8w20boQeES5abZ11thNMnT8GQ/pFYuzzKgE89RM0HG929G/kMb1hv/LatXe1UjXrnGv1rpFKlSmYaMK9cLqarDAtiTfGVmhxn/EZMmGgKw/Y310LiyE58EdUzry2SaFUl0xJMpkWVLCvQWFiOlZVICw1DnseS1x9FQKH8uKVWeZyKbGcsyGRNxuwJn6w17OgmURP7ypJkuoRU2pAO2PVFS4QFBCOkgB8Of9HWwDGBX/nx/Z42aTjnds4ni/BiX+ZHYFb6w7vjLhZgebLlxMJXHuVF8Et6UAdass8hvu/TSKR16eRbefBsyyod+DRSR7XGaw87FuHAgU5nGafd9M9FYdYgtMMnbNVoX6xctMAAb9fG9ZeA0ELPQtCtWnlCnWW2r16NLWvX4eSRkzh08Bh2791teo0St5gxbx5K1dDwiWpmBhm/qvVQpEpdhFZvCL8yVZErtw8t6hzIkS8/6tYsg/P8XVIG/bOrRLNSwfCHPl0Q+fmHqNOYlm9QwXQY2o4rGrYQRBBZCy04uIixAmURCmZy1UaobQ1yFwQ1hrARYXkjLcJH7rke999+DW7W8IlGEahNi1DTo9nOMmUJQjuG0A1CPw8I/WkRyir057mDmJfQ4n4oKYuQIKwcUROvdmiJE9/wg/H/e+q6TKoB9a/IIixcFKUqXoegCraNsA5CPW2EYdXrYcHSaPOsx8ScJwgnmQ+8tcuX8TklCDUxPNWAkLp73XrsWrcOW9esMqtPXLygcYReEP6pEh8fbwo4uV65XJw+oyyYZZmkOPdozFinarTLTXWQNJpWleDFlyBFBeNAgotwSiVgrKbwizVFS/OM7IZlbzyCoAL5cFfNCogloGDb6TKHH+gALVXVo0wvbXh77PmqBS3CYIQWKoSjvZoThAQZrT6Y9JkG8+CoE1/baR5rU4O776lRBrlzZMc8VY2ObM/zKP3WSOzfDEmEqombno/W5lqUTtqYdnj1QaezTN/+nl6jxkr7cyVrEMoidH6DFfxiHtQvEtEL518Cv8wAdPtbP608oQJmy+qV2Er39MkYnD+fwOf+LBLjVbAA389dgtIR1yBP6RoIqkJrkBpYrRH8ylVBzvwFkT1bPhTyK4tCpaugae1qZkB9VqtP/NPVtKf1aW6mXBvYpycqRvB6CSKNIwwJdYYxBIc4PTgFKGlIiA9CPaqB9ekD6iuVNhZhnZqVUL9WFTSuVx03X18LD911He69pSlualoPjerXNFZkjerhpk1RcU2vUQ8I3TAMEPgMeJ3zBwY553bWRAxC6fCyeP/Vbjg19EUD9H/SMBWpM8VaBHIVDEJwNUKwMp+fCnURWF6LOtcxU6zJIly8ZIV55s6eO49pUydjQN/eWL9qBfbS4tulZ3kTn1dV5ROEWnVCupkW4a7tm3EhHYTOe/F7xQtCl8gSlEXolazFAaEK/jQkpTlVo2NGOyDsRoswmQ++AAhaYhAILfT0UqQr9wkqrUqw7K0HEFwgL+5RGyEhg8G09i4L71H5M900VVEO7YDdXz6DMsEspArlxdEvnqKfzt0BaQSaSV+uJ26aINafkCQEofbLIW1xZ7WSyJ09O+a/9hBB2AkpfQg+WrFQZxlVoaafm+clDNMI6tR+HXnBnfD6/XXMNUf2z6ga/SMvYVZiU7schE7V6PJlS01nmehF882Xs4WfXDcYLQzdcDTrEK5bg61rV2H75k04efw0v8bjEBdHIJ49hjT+vjPnLkPJWk2Rt2xNgrABLcHGCChXA7kKByAb71s+Fm4h5RrBp1wdgrA6Yv+lIJRqqajUfi1wYczrmNvrZdz/6MNmodzgUEHJz1iBthOLsRAJqaIEpMb9qY1QVp1AWNEswVQOtWtURP2IKmhSvwZuvaGOAeE9NzfFjU3ro0G9GqhFUMpydI8jVPukHUxvq2V1Xp3PgaCgSEsxhNZq8SBUrFkdfbs9hvOjXiYE2/zjICh1QFgDeQr6IaBaffjxOfIVCAnBkIrOXKNlCcIlSxyL8JxAOG0K+hOE61ZHY88P27Fzq55Z6saN2GVBuGEdNq1diR8Iwrg474D6P13UNqg2Qq9kLRkgVOWZs67g6DEOCLveHOEBIWFC680B4bMwHWMMmDxQkiuoje6CZZ7OMnengzAjXHp4A0CCyKTjAeXQ9gaEZYN9EVIoH0H4NDCkM8/Vnuk74S5Jw1iUhFu/VtxnoTe0He6qUYogzIZ5AuGojiwICcK+tDb7tkAqLVOwcMxIg1Yhr8FYnGM64vUH6joWYb8B5h6ouvjvAaHGETrWZ/SKZQ4IFztVo7Y9MCsgurfTYcjCZMf6tdi6fj2OHz3hTLF25jjOnDiEtJQUzJ63FKVqqLNMVRSt3hQlK9dBviKEYLZcyF3AD0Glq6FE5WtQuFQEGtWo7sw1+i8FoVW1C6um4lD/rhj55QeoWbc2ipUqipCi/rQMndllTPVoYCFag0XSQaiVJ+zwCQGunibbpuV3baNauP2m+niQILz7pia4oXE9M/+oeowKmBaEWotQEMyoks2YWk0aSIvQL5DboYEoXrokujR/GJs/bYHEwR35bLfO8lr+CSoQvnFLdeQvwOupXNusZ+kbbkFYO33S7UUei9CCcEC/PsYi3LNjG3ZucZ7XK4HwgheEf76ot6h6jXolazEg5H9ZhMkei9CC0FiEYywIHXilW4SEiAGgsdK0zzCju2L5Gw8ShLQIIzwgHCLwWfg4KvBZzQChLMJmtAh9EVw4f7pFmGwsQifcJfGNRWhByAJvaFuCUBZhFiCkZXCpRSh1zquONBjTHq/d74CwnweEf59FmML77hxZQRBq0u0VnjZCafrKEh74ZQVEC8LdG9djG63CjWvXmBXqY8/F48zpE4jX3I08xczZC1G2Zn0UDquGoHK1UDhIU+jlQq7cBeFXojKKVmqEohUboVCZ2mhUvQbO9m5lJt3OqkD8N6mGVahmInkEgTjxU7z79qu00oJRtHQxBBJ+waHOxNehwdwOKoxitBjLlC5qgKaqTgHOLL9Ey++6xgThzQ3wwJ3XEISNcX2jOs4STLUqoWrVsia84mmeUfeE29Yi9FVHGVqBxcNoMRKOjz58H7YMehOxffl8D2uPZL4zWV3DP0UFwjdvJgjz8V5ViYBvpboei7AuQehUjV4Gwqm0CPs5VaPqDOMF4f+DaPygxhF6JWvJsmr0EouwkxmCcBkI9VJ41AGVA8JlbzxsQJhhEQo4GWFNeIHMAyIDVLlui1Ag7EUQDnODkHmQBWnT+A0WYWq/5gShyxrUtvJANdWrYzpcZhGmpr+If57Y1C4FoauN0FM1ajvLWOBZ2FnNvG8hKJVFuGXjJhw7fBwnjsdgx/atiDl9zJx8DkFYMaIRChQtg1yFApEtZz7koAYUK0sA1kdweEMEhTeAT7mGaFqjzn8GhFaT9AyN6IzEIZ0w/v1O6PbcU2aS61LhZRFYLAiBRQNMO11YWLAZeqGen9bV7DS1a1fEtY0jzIwy993eELfdUI8WYh00qFsdEbXCUaWKxhCWNoPzzdAJAjAgxAdFAgqjMLVoWDFEqIq1cmm83K4Z9vd/HrGqaRne2bRbZ5Xnf5oai5DlQt58vLZKdeBXuT5BWMdYhKFam9Azs0xmizBrEKoWwwvCv0U0o4xmlvFK1uIGYTIsCJ1eo88bELotwtYuEAoktLakA3hcYUZ3wfI3H0SILEILwiFOh5X0sK44aWrfYzztgyAzFmGQ2ghlEapqtBNS+rbn8YxzGeDq3OrsYqprWxoQghbhnbQIcxGEpo1wlDraMK9aQUEW4SBBkPHS8+KpGhVMaRG+/oDTRmhBaCfd/jPFpng5CJ1eowLhIBYYWXWWcUMvs596lwqCe3jsB7pqI5RFePDAESxeshD79uwyM1ZFLV2JcBZS2XIXMG2CuQqwgC5WDsEszIIqEYSVGiKgYmP4lG+MJjXq/+dAaJS/ezKfg+TBfK4Gt8Hqb15Cr3dfxiPX18ZdN9RBRP3aCKtUFsGlQhBUMhjBJQLNqhUlw0JRtkJx1KxZDk0aVTVar1ZFVCVIy1Uqh5LlSyKkVCjDS4uiePkyqF6zKm6gBXlXoyq4o255vNz6EWwd/oEzJRw/xtKGtHd6hTJPWeb1H6jqNfrqzXWRI38ofCs3hE+lBp5Jt52qUb9SlTydZVxthFlahFQvCP8e0dyimmPUKz8nRCGfNY0jTPSMIxw1eryBQuebayFpTDd+SasaUp0P2iJpYDvCsAOh4mjaABYoAwUrAmVsdyx58yEEEYR3RFRAzCCGGUrLTAPmXWri0BLTwHy5pnqS1t/uL1sShH4IKZIfh3o9g5RhHXFxIIGmeDyHjZ9Kv1Se20BSnW0GteNXfnvcXb0M8mXPjbmvPcGLeJ7pO0M3NGRD4aHzmHS4zTSUD11LCgH+2gOeXqP/D1WjzlyjKaazzMC+32D5wgXp0LMq2BngufzcxwRBTbi9aVU0trBwOXHsJI4eOYVNLHROHvvJnHfRwiUILRbG68yBvIUKI7BMeYRUbwhf9SBlIRZStSH8wxujYFh9NKxSBzHf/AdB6FHBKEm1CoP4EcVr1OoO58e/g8k9X8UH7R5Gp/sao+PdddHsjgZ47LEH8fQTD+OBe2+n3oxHH7odzR6/D61bPIE2zzyK9nc3QNs76+K522tT63K7Ad5t/RAmf9QFP41+3zyL+iBMG8x3h+BL5jl17qzy9U9XA8Lb6iN7geIoXJUfTVUEwjoGhKFqI/SMI1zkAuF0gnCgp9fo7u1b8IN5tvUBx+eXz+rODevNB5wXhH+RaLUJrTrhlSuLY/mwUE5JRUKiM3Zn2OhRBgrtbqmLxBEd+AXdCskDWyFpwLNIZIGRKqusL18KalpfQoaaFtnK9NSc984j8CuUG7fUrYTTQ7vSYtMgfFpgJgzVhle1pUdTuI8hHbG3Z0tUCApAMd/C2N+LBcbwVjgzuDWS+vC44hhlWiYdVXtqnGIrgvApxAzpgPtqVkTh7Pkw69WHaeW9itTeLaAZcRI1qD6S0PScX3GVnlSdKZLGvEiLsIG55n5DnF6jmnT7z5YrgdAuw6ThEwP55bxswVzT8WUn1YJO2+oVun3taqM/rF+bDsadOs79H9atxubVK7GJQDxx7DguXkzCyVPHmLYzgXGXju0NBPMXCkFA2ToIrlgPISzINOdoUHgEAsNrmdUECobVRr3KETj4aTOk/kdB6FYHihoWxGdiEHUoP+o0T+7w9ogb2g1Hv4vE+bmD8OO4z/DDsHeN/jj2E5yZ3R8J8/rBzGdrwsv1bCsNWpyqQbEWoBnW8TvVLngcz486qfFj2hcHtKZmvUSTjme17agnHabp9rfncPu5VSB88/Z6yFkwCAWq1EaRyvXgF64p+jQ7US34liiPMtXrZowjJAg1xdqgvn2wbuUK7Nq2CTv0zPJ5NpbgOsfVM+wF4V8kWn9Q6xB65cpiHjP+SSMI+d/IqHHOpNud7m4KjO/Ml1pVlwTdYOqQZz3bmg3Go0Oog54Bxj2HBR8+AL8ieXB7g0o4N4r3ftBjDNPi0vBSpSHVhNqKP7oNfuz9DKoUC0Corw+OfsO4w5oTVE8TWM0ZJotzjuTX/AAeG9gcyRNfxt0NKiNPjmxY9NrtwOQX6P8kCynmdwjzT6BeEl86iNqX1uPkF/GeZ/hEv8EjzD0w4wj/2Ht4mdikLAilBoQe6C4nCAfQIlw2b44BobUCnUJjrQHgtjWrjAqKFoZmm7pTagqUdfjppyNITtI5UrF563q8/FI3FC6UD9ly5ERo6epmJfpAgjBYVaL8khcIg8wiq3VQqGwE6lSqhu3vPW4W5s2qQLxa1FiN/FhKVs/j/vzoInSk2pZfUt+/b1UIu/6jG4RxzEscP04Fw9j+zY2fWzPiZ2w7xwhQftA6YHXSztCfB+GrN9VBzvyBhGBtFObz4l9Rc43WQVHu+xCEYVXrYGE6CGPx3RSBkBZh9HLs2roJ2zfqI49W4Dp+vK3Rx91a07ZtQXj+wlm+Gd4B9X+aaEV6rUzvlSuLA0L+TUlmkenI6AljDRSa31gf8cNexLnIjjjXpwPO9GmPs3TP0ro627c9zkk922ci+cU77AUsfOMpBLHAvT2iAo71ex4XzLF2DNvBCU/XhKc1F0P3bD/nePyQLtj22TMoHVAAJf198UMPzWjTFae+6oKYrzpmnI/xFe8M9eSAzojp3YFWahecGNAdd1QNQ+Hc2bDgtYcQzy/52K+bI6ZfW+aX2qeNiRfrysc5WoqnvmmLUyNexst3O51lvo4c7NyEv62NMAVJFoTLlmJA5DeImj/HwE+aGYRbafEZEHJbALRWovwEQw2o37R+PQ78+JO5hBMnTuDW224x15Y/X374BpVAqBbkrdgAQeogY9oG6zowrFgTfpUiUKhcDYKwMra999hVD8K/UwWoiwOfw4VBbQi4tgZIF/tlgMqEcUHKAC0dZIw3oKWxEO1x6cWBrai0GE18xXXUTFLuUYUT8LUt11jHnm1jzTIvVjGmM165qT5yFyiO0BpN+bw0pEVYD4FafYLWoU+JcNNZZmHUSvNMaz3CaZpZRiBcuRw/GBASgLQCdxCEOwjCbYIhn90Nq6OxfetGs2yYeiz8UfGC0CMRERGIjna+TLyStaiwNMoCOSXN+QobMXq0KThL+hfGTeElcG25ori+XDGj11GvpV7jcY2W5z71lvJhaFSqOPLmzoPgggVwc7kyuKFsaTRlfIVJD2vi08+4xdBE6VcojsZlglEgf34UzOeHpmVL4ubw0mhYrjQac9s5V/H0c5k0ypfifimGK47ry4SiWN7CyJvLF3VKlcId5UvgtrJFcUO5kriJYa/ndlMTj2mYtLTN4wx3a+VSKMtr1bp7AwY5IEzzjO37M+VKILTDJwTC/n2+RtS82U51pweGgqAbeHLtvvUzgKRuNm2E63H6xGkkJiShbdu25re85ppr8VXvfqhYqzF8wiIQWrmxAWEQrcIgftVrpfrgyhEIqFwTBctVQ4NqVXC8Fy3yq6Bq9J+igtn5ga0NCDWYPp4QFAil6lCjhZLNdIcuYGnS+gTC8/xAWoODnkXSIPqpDTLdZRxPu6RVtYsmDWpnVPvxA9vj/IAOhKimHLw0nNl3qSafeOn2xsjhUwaBlRvAt2JD+FdoYIZPFK3UAEUEQlqEiywIz8Zi+uTJGBzZB+toEW7fshHbNvADTh92BOG21Xp+nedYbYgCYcbMMn9MvCD0SL58+RAT40wv5ZWfl9S0JKR6OssM96xQ/9vVszJ8noLIlj2nxy+Hx/11mitnAWTP6SwB5Oivj589W07kyOPDba1yn3WYX9IhgweZe/D39RrNqBpdtmxJOghVNSoAWhi6rUJrCbrhuEUAXBmNjStXYPeO7Ui4mIjPPvnCXFPZcuWwnlZi1Or1KBvRxMw1qqrRoPD6pgAzIKxYy8AwsHJdFCpbAw2qVsWhz58hCL0W4V+tsroMfPTRMaQ9EoZ2RBLdRAIq2dXBJoEgSiAA4wk+WY4XCUZpHK3Ac/1b4Hy/Vojt+yxORjbH6cgWONXnGfz41RPY20v6NLZ99hh2fvY4lr71AL559jp80epm9Gh5Jz5udjfefuR2vHL3Teh+2/XodEdTtLvjOrS89SY8ecN1uK9pPTzUpB4eadQAD1zTCNWr1oJ/udpmBiJfswQTYVi+DkI16XbxSihbrR6WLFtlnumYmLOYPmkShvahRbhiGbZvWu+AkM+uALh1NZ9dU8tBENJi3EGL0Wkj9ILwT5EdO3YgLCzMs+eVnxMV+ilpCQShZ2aZUU7VaP58BVC0iLMsUmjhAgihBhcuaAa8hxbKj5B0zcd9p0ozqEA+5MidG/ny5kGxIozvW8Qczwjr0YKOBntcpRdaOB8tuhzImasgAgJ9UdKnIEoV9kFIEZ5f5+B5nbjMC91S9Cuu7QKFUcLXDwXy5EGOXDwv81lGeWaeggL9EexXCMV8PXFdquNFqRWCCsIvjwPcgf2GmXvwVy3DJL0iCKMWY0BvDwhlEXpgp44wGTCUuz7dSnQKFLUbrsQOujs3bcDBvXsxfNhI+BbxR25a5wMGOHCfs2gZwiIaIzdBqIVUHWvQYxEShOr1F1ClAUFYC42q1MTxL1tcfRahq+oxs6rqMJVA0rJIGseaxm0tFab5dEFgGR1itb2jQ39Gh3mU4c9HtsaZr5/FKerx3s/i2FetcIz3X3PuHv+qBaLfb4mhXZ5Gz45347X2DdCpTR20bdUQ7ZrXR5sn6qHlQ7XR/N6aaHZnFTx1Z1U8eVs1PHJTZdx3TUXc0bg8bmhUBtfUCUODGmGoUSkMZUsXR9nipVC+RFmUL1UR5UpWQuniFVGiWAUUK1UOoaWrwD8swsCuQLmaKFC2Kp+LKshXpiqKhNdGcLXGKBxeD36VGsFfICxX16xx6VOiMsrWaITFHhCeO3MW3xGEwyIdEO4gCLeu99RkEILbVukjzgGhqkZ3bNvinWLtz5SxY8fi/vvv9+x55YpinjMWzLQIUzwW4VjP8Imba1fBjFcfxZQu92Jq1/uMO6XLfZjW7R5M73b3pdr1Hsx86WH0evxaBOTLg8Zli2GSicewXZ0w07relR5+Gv2ndaZ2uQdTu9yNWS88iJHtb0Ux/7wIKlgYvTvciWkvPIDvOz+MKTzfd4wjdc51L7fvxczOd2AmC4bvOzxE/8fRoHQo8ufIhq+ZhzndH8AkHpvIdCcp7vP3YvrzNt/Kx534jvkaz+uZ+tpDeLxhGXPNkZHOcl12fOWfKfa1tiCUCoK21+iyqCXo+/WXWKo2QoJQ7SY71judYgTB9J6kmzWVGqEnGLJA2bV2DTYvX46D27djMwuUJx97DIUKFUTOnDnwystvYO+u/Thx/BTmLhYIGyJHscoIrMBCTJ0cCMJQgjCoUi1qAwKxCQqWjmCBWRNnWSD/U4ZP/Noel/G0mqTqAWrGvEoFMB4TwAzECC+rDrSc7aS+bZDUu7Xj5wbWcEfVXnqyX1scp6V2fEA7HGb4nwiwA31a4cdvWuHAVy2xj/Da2/MZ7P78aez89EnsoP7w6VPY/snj2PbJE3SfwLaPqR89hW3/oz81+s3H8O7dN6JF7QZ4qkFDPNCoPu6qVRO3VqmEaytXRL3qEahXtS5qEDTlwqsgpFIp+IWXgW/5ygRQFQSWIbRKVYZfyarwL1uRWgkBZXWsKgLKVINfWBX4lA2HL/d9ytUw1pw+hELL1kXRsvVQvHwDhNKyCylfD8EEX1E+C3omVGsQUImQq9oARSrXQpFqEfClNehjOlXVNdOrBVbS4rxN4EcQBjFN3xJVUI4gXJoOwlh89+0kDO/TB+uWLzUdZRwQrjHW4NaVK52J4vkcOyD09hr9U+XVV1816pVfEj5o/J+imWU8A+pHjnRA2OWu+sD3rwNjupKO1DHdgPHUsZ2BcV2odMd63DGdgOmvYC1f7FBaaQ/Uq4zk8c874cd4wtuwZpv+o5Wu0qM77SXs55d1mWA/M7PMyX4tQII5Y7AUzpxLceV60lJcnVfnmNQV99YqhVzZs2PxB82AmS8jbRzjKs5YFmQKa/LsysM4nb87z90dbz/sDJ+I7OusPvEH3r8ri2mMddRWvcpNNSBMRRQtwt5f9sQiWoTbCbstG9YYd5vpXLAWuzy6e/Mq7NoUTRCqg8xq/MACZd/mLdj7w04827yFuY4K5cvivfffxrFDx3D66GnEnY/D3IWLUaJaHeQtXRUhFRujSJVG8KvcAMW1sCoLPr8qjQnDa1CoTHXUrlMFMSzgZQFlBZzL9EqW1M9YWL+kgp/TYYNwI3gSqHLjTccNx0LTcbVlpRHYAppWUNcwnsRhnXBmeFfEDOuCM0M74eSgDjgxoD2fqw442rstDn3VGgd7EmA9mhvd+b9nsPbNJ7Dp7cew5Z1HqY9g47uPYcPbj2D9mw9jE7e/f/4uPN/yNrTu8CBatrkHjza7Cfc+eg1ufagBbry9Fm64vhauubYmGjaujFp1yqBK9ZIIrxyGitSyFYqhPAFWsUpphJUtjZIlw1GallipUlXoVkepEjVRPLQKiodUQongiihGt3hwJRQNrQzfUpXgV7oSYVaJ1hgtskrVTe/eoAoNzMrwWhQ3gBALCFcHKI9qm5aaUwVOVS9hVYXz4yeQHzyBlbTdwFh0fuGN+furF7HAp+E0dQjbWggh/LRgc1HuC44hFSMQSghqcu1g9TLmvl/5Rox7DeFKiDIfPiWro3yNJlgetcY837GnL2DahMkY0ifSWIQ7N27Edj7Dmgpwy9pV/HBbiU3r6PKDbz1BuHM7LcILXhD+aSJrUFahV35ezGNmCmNNuu2sUD9qlLMwb8dbaiNpVBck9NUMLa2NJvVjIdX3WbqtkdjX6rPUVgRWFyxjwRFcIL+ZYu0cwZY28DmzOnyiJ3xCZCtuM34kC7I+dJm2Css0fnnv+aI5ygRprtF8OPKlplhrj3h9pTNMks6Zfj7nnPFmoP+z/JpvhxSGvYMFTy7me97LDxGQHRGneP2eMwv/JtJ14jOvPL9Jg36Jmp1mTAe8dk9tc839+jvViH/FMkxWBL9LQGiqRmURLkafr77AIlqE2zevx9YNq7FtkwNCp2qUIKTu3LACP2yIxrb1K01PUVWjHt27F2++9JK5htDQEMybM5tppiLu3AXExTjrTE6fNRclq9dFfoJO06n5VGloVg8oRmsgKLwOCleth0LVG6AAC1vNrRmjmWXULkXoOL0TL1cLrfR9j9pj8fzd07c9rjSOv0Fm//Txe8Pk8uNlWAckD+mIhIGdcaH/80ga1BUXB3RB6hB+/DBc2lAqw5yhlXbom9b8CFMV4tNY9u4TGPX20/j4reb46NUn8Ga3+9G9zW3o0OImdHj8FrR+4Fq0uLMxmt1SH09cF4GHG9fG/fXq4K6IGri5UjiuL18O15YvjzrlKqJWqQqoFlQK1cIqokRYGAv8MBSpEI4iZSugSJnyhFN5FAkrjwLFS6NQybLwCQuHH62ygHKyyKilaakRdgFhvOdlayAwrBoCStWgXwT9aHWVoTVWtikts2sQEk4rzVNFHVrJqa4OJGwEHWOhEUgBVWvDjxpgxn46VdvqsSkNKO9Udwcby96BYLABIqHnmT3IVIXL9YDQAWAjhmlkQCiIhhB+IQaGVLkeVRuy5hM1HauM1qJlqarRJg4Iy9eBT4lqBoRRy9aaZ+7cmfOYOnESBtMiXL9iOXZt3oQdfIYdGK41luBmfsxtod9GQvEHWoTOwrx6JywMf594QUhR+6DaCb3y85IBwjSkeCzC0R4QdrqlDpJHdkGKBqBHEhiRGoDOr28z1Rn9CBIz9RrVLKVEaK54+2GEFNBco+URqy90frGbJZzSw9HlflrftkjtI5fKNMEv+L29mqNsoNoU8xKET5rCLsEz6B4DFD8jLU34rS7hGuOVNohpsPC8szotQuZ7oUA4uiO0iG+qQEf4afUMM6ep8m7y7RzT4rwYSxDe64Cwbz/PeoSedru/Qi4DocciXLbUsQgXeyzCzbT41NV8OwsJ9bL7gV/NDgxXYdvaFSxIVmH/1i2IOXoI/b78EkUKFaYWwte9eiIpMR5xFy/gXMz5dBDOmDsfZWo3QgEWyLISfGkRapqsoqoSC6+NApUiUKBidfiUr4ymtarinGf1CTfAMqsWR/6541IdNzO4aLD5CEKMFpsB3ii6o2nB8QNK7rYPnsL87g9h/ouPYNYLj2AiLa+BLe5Bn6fvwtdP3IUBT92HPnT7Pnk7Ip+8DT0evRkfP3ITOt1xHZ65uTGa1qmPuhG1UKN6dVSoUgllqtDiqlwBQeVKw6d0cRQsXRS5SxRF3uLFULBkaRQOK0u/MvApVY5wCkcgVa5W6he0fGipBZchYErQ+uHHQiHeq3yERQFaQIXDr4FfhWsJjusIqRsIlOvhW+l6gupGBFa7Ef5VboB/5et4/HrC4hoEV7nRbPuWa0IINUVIVfpV4jYh4le+MXzLNkDhcnVQqEIdFKlYF4Wp+fmbFKygSQ5o7RFuAfxw8eWHS+HK9Zh2fULJ0+FJHVYIQX/G177gF1KpodFg7ctClBVorUHua1t+shSDGM5AkNahtkMq1aXWc6ngpyE2VOuaqtM6vLbGBoSqGtWahIWLqWq0MZYsW2eeOS3MO/nbSRjUNxIbVqzAnq2bzSwyO/hht329VKulrOFH3xpsWLsSOwnCzG2EvxeFVz0IY2JiTI9Rr/yyZAVCaxF2urUuUkZ2RapAKGhpfT+Bi5YWWACClp5RQVDu6K5Y8RZBmD+fmWv0gjoLqE2GBaozI4wTTq4z0wzTZXom/aEdHRAGOMswHfmKFuEIwYxWpQnbiupJh6rJtAWxVE2kzMJWc41q9Yk82bJj0UsPm8I2hYA1s9bIWiX40ghE59xKS/nguTXd2riOeOM+ZxxhZGQ/cw8sqP4KuQyEtrPM0iUOCGkRbttIEBJ0KiBsd3MDQ1WFUreujsaBHdvMV3XPzz5B8WJFkZ35f+357jiwaxeOHv4JFy6cR+LFJJw9eRbJySmYvXAxytVpjDylqyDQglAWIUGoDjN+/OovyoK3aKmquLFmdVzg/VZnGWe8meParvu2m30iIWeUv4H2DeDs7CpSzbpC4J3+pgUmtrseg55piAHN6iPy8dr4/IHq+ODuGvjgrhp49/YauCs8DHUCi6Nm0TKoWqwsKgSFoYRvKRTzK4VSAWVRzr8KSlOL+lREENUvoBJ8/CujSAA1qBL8QqvAr0R1+GoF/rAIFCUYQkzVoebCpEuQFalSH0Wq0hqu3hQ+1Qg0qjM7Sg340/rSRNKBpu2rPnwIEVlMwZVZ0FdqjIKVG8GnKuFX+QYC43qC6Drer2tRohz9yhGMhFxgeFOjgpt/OX5k0GKSlqzMcARgUYKjBGFTktZ3iSr1zFJYxWlZFatYE6HMo+AWyuNBzKva4XxpqQdUJriqElLVGxtX1dkCmkAn8EktCNX2a/2cKlLCj+kaCFr4GdW+hV+GmqpU5utSZTzeoyDeG0dpeRolkGlN+gmGnqpRA8KaTbB4hQeEZy5g0rdTMKBvX6yLXoHdFoTr1xsIWhBuUdWoZ0C9YxE67eaO/j656kGosYMaQ+iVXxY3CO2k2yNHuizCUd1okRFEtOCk6K9pzRzrSlaZsxahAzSM6orlbz1kFua9u1Y4zqs3naasEigVRuoJrynWYNLTvKN0NdfoVy1oEWrS7Xw4rKpRFqRJZho1xWE69lyKP0DWnOYadaw9DG2Du6sXd0D4yqOmXVLzjGpi7TTBUsswefJhl3XSec16hKM74I17L12Gyaka/WtgeBkIjUWocYRRpmp04dxZBoAWhFsJPjtUIn0GGX5NH9y5A+1at+ZHX16T9xaPPkZLUZbkOhz66QDOn49F3PmLOH/6PFKSUzFnwRLTWSZXyUosID1VoyxUZREGakB9lbooxQI1tFRN1K5aA3s+bWaqJ1N475J57+Mjn8P5b57FWfVo/LQFTvRsgeM9miOuT2ta7s9h34ePo/cjjfHGnfXwzt1072qCl7n9yl210fLG6qhZJhRlQ/0QVswPJYJ8EFCkEAoX8kG+/EWQN58ffIsURWBAGAKo/kFl4RdSHj6hleBPsIWykC9G6yzUVCfSIilDS6cC887Cu1glWleqoqP6hjeGD6EVyGsqyuPFuW20SlOC5xqEEmYhdIOrEF50A+gKkOospOq+IMJHs6T484PAjwV9wXIRdAmCKk1Y6AtAtJjoBtMKkwaWIajCGK9sbYSU54cErbFiVNP5hGAoRguvePlaKME0pWa7fAT9q3O/OkpWqkYYVkXJKlWYT4YhiIpTQwQtzeFZoTaBKIuQsDPwYt7K1zZVobL0ghVOsOO5LlOPvz4ELAgvVVmGTtWoo7wP9Asg9AIIv0ApLU9tBxjoEbZUtU9K/aW8t/7hjQji+gQ5Px4Iwgo1mxKETtXomZgL+HaSFubtj7Usl3dt3ojtHmvQtBPy2d68XrrWtBHu2LbJO47wzxLNJuOdWu3XiRuE6Z1lRjmdZTreWhtJY7rSKtP8oIIG4UO4mEm4aRVofJNxpQIUQbiCIFTV6D21K+K8upNrDBQL0fRwVK25JkCpmlXVk0mKO7wT9hCE5YP8ULRwIRz98mn6sQAmCFU1qjju+EbNhN2Em6o3GfbuaiVM1egCzTU6VjPTaFJtrVLRynS40KoDl6ahNkbGHd0er99Xy1xz376ORfh3Vo06E3wThFFLnTZCglBfyJpyyliELCy2e2BoeomuWYNT+/fh/ddfRa5cueAXGIT3P/gIa5Ysxbb1G7B2ZTROHD+KY8cO8wt7J86eUFUTMHvBYpSqUR+5S1ampUTrxoCwIQtlFnwEoQ+tE1VvyYLwr1wDNzWphU6NaqBznYpoX78Snq1fBc3qVsNjdWrg/lrV8UCdynQr4aF6lfFgg8q4sXoZlA4JRoCfgFaOQKsAn+CyKBxaEgVp5akHYyDB4lu2DnzLN2QBTauGhWmQ5qpkAasB/iqMVaBKQ1jwBxPU/rRa/TUheNUG8KNq249591EVoam6UyeP+txmQcxCuxAL78IEjX/F6qbDhzp6FOP1FQ8XhGrSAo5AKIEUXKEmQRHBc/KamUawJhkwBXtjWoj14Vu1CQoTnEUIUR9acwG0AAMryOW5eN8CNIRA56MaWAp+AiXjmB6Xuo+Eq3+V2vBVx5LKBFgVjb3jPqHoxzz5V6mFwGrMR7XqvIYaTJ/bxjL1KPMfxHimV294BPNcAyHleF28Z047oGDosfw8AJRlKA3wqIGh8kI1lrFHHRgqn+p040BRnWwCLPzoatB8oO4/77PynK4GiPzdKjflfabyeQphXJ8SVVGh1jVY5LEIz5yNw0RahPrAXLNiBXZqHKGqQvksb9X4V+qmtVTur1u1Aju2aGYZLwj/FBEENc+oV35ZbA38JSvUj3bWI+xyS22zDJNZkb4vYUjoCGrqMJNKi8qtpgpyTDdjERoQ1qqA8wSNQKhlnNLDeVRtiqlSwkmrQ6ib+p4vn0G5YF8ULWTXI6Q10r+DsT7VDf6S81EFZWPtEYRqI9R6hFqGae6rD/IiOvG4QCtrtjnzLZA78TLywbxpRQp1lrn/0jZCB1RW/1zJDELHIkzDyhXL0febXpg/63vHGiQIt6yLZuGxFlv4tay5GbevX4UjhOCw/v3MLDy5c+TEF59+hhOHD2Hf5k3YsHy5KVxOHHNAuGPjNpw5csY0ucyYu4AgrIu8YVVZkDeGLwtsFXRFWYiqelRWiH81QqZGIxSoUQ95yxMmxSrSMisL32Ll4Vs8HD6EaOGSVVCwVFXkCauE3KUrI2fpisghDauIIuW06G9tFsBqM6rnFNAsRAPoBvGcwZWv5b7a1ugKMASbj6oqqxJe1WiBeaCiqkmBTflThx4/+hepxrDMny/jSIvQgpWlEuQpuE2YqvUIJxbSOsY0VZirCk9tWyEsuINpHYXQ0hJIVB2sDidqR5OFrOrGAEFMViOBqHY5P1VFVuW9EmwE7nIMw/ukY8qboKwPCuXVzNRDv2BjYcp61LXUIwAJVYGDrtr2/GnF+hOssqY0PEHQ9SNc/JnHAIIyUHmX6sNE1dW8plD6h3Lb9NgkLEMYPpAWaEA5gpTXow8YjeMLJGRlRQaba+Zvqk41pipUoJMy7wyn4RNSC0V/WZ0CI7eDeE1BvO5AXleAPkB4HbKaA/lhEMh7EaDexsy3jyxfXk8x5rsYrdRSdAsXLYfwmg2xKNoZPnHmXBymTP8eX0f2xWpahFp6SVOrbfMMn9BMSBtWr8CGtdFYt3o5tm/dgNjY03wbLp1izb4vv0WuehBqxQmtPOGVX5YMEGpMm6ezzNiMhXmT7Ar1qpakm0IYCiJm36Wmswytx2VvaoV69RoNR+xAhhuiKkhXOLcqHapxCT2BMEwL8xbK51qhvr0J6z6XSUeWnUDoWZhXS9zcVaP0JQvzqpOPWfmiXwuzVJQ9f3oajJd5hfq/chkmK5eBMEUvfSpWRguEX2KeQLh+NTZER2HbGn4lr3PmF1W16PEf92Lq5ImmTVD5fa17N9NWuHsDv7RpCW5iGhv5ZX3y+BEWKGcRc/wMkmP5u/J0s+ctNr1GBS8f09bUyFgAqsYrRWgVp+WQAZN6tIJYaAuOxipgoWgK+UYIZWEYyvj+LAydQp0WlNqKVK0m8MlVoSs4sKDUvqwtaQitraIVG6ME3VD6FzEglNKaoxap5gBNVqCqbVUIOyoYOnk2+8YaJMhY0MtqlEWoeCYNuoK8Py0cf55LagBXRZ1T1IHEUW0HMN+hFRqajwFT/cd0VN2oKs5gAkaWkB/vhWbcEUQVznRAyaS2B6fTa5N+RrktODLvtsOK03ancysvvB8Vr6E25XFCRveTedd91nl17021KKHnJ0uaVqw/86Tr1Xl8y0bAp2xNU1UaQH/5WaAG8Z6qatNJh/nwwFnw81PvTgLUX9DUx4BUwKQKvKaNlHHMB4xcgZLqw3P48lyKLy3MNAJKV0FwSX4sFS+PkNKVoFUpSoVXw9JoZ4q1mHNO1Wivr3tj7Ypos1TYDkIwfVYZglDP63o+5+vXLcfOHaoa5Yebd67RPy5ag1AdZrzyy5IVCMeMdRbmdVaoJ4xMr0vCSiCUZWba2ByQOW2FHpgRhFqY97IV6gUdGzZzHKkszmEZK9SrjfDoF08ShLTqCEINhr4kLtNNoxUoiy9NC/PS8tRg57uqX7pCvek1qk49WjlAbYQmnisdpptKizOrFeodCNq78+fKZSD09BpdsdypGp0/ewZBuAYbVi1jQbHMjCE04wgJuwXTp6FurZomr888+Rh+3L7NrGYvAG5ZuQKbo1dgI63Ho0d+wsWLcYiPS0DChQSkJadh7sKlCItogPxh1YyVI6jIQghh4SwIhrBgVNuYqu58KkSwgI0wVZmmcKUFpUJYbVOysBSnZHkBtIHREuW4T9Wg7ABZWyrwPQW/zqGCWDBQ+1pRgqA4ratQwkadMNQO5S/rzQBQIHBg4FTP0aWa7v8CCMEleGuIgCy8UGpRgZbgEXjVviWrSxaLqfIjqKUCeDDjqkels+KGB07Mn+JLZRHJGlXaRRm2uMISBMqTgTPTFvSK8nqL8uNBsNR9UDpmCIOxMgUOx3U6pCjfuhe6B0yPgA+Ry/RDpPyIMGAWrFWtyXT81fYoUDPfQcy3rl/VkAKRAaNJR51bdH0OtBTPVHWqylYWKsP40t+HeTHrBeq3JEiNhquaVe2MNelfHT5hVVCIMCtQIhwFildAwZKVULCE9isgf7Fw5CtK/2LlUKhYWbO6RFDZqqaDT+nq9VC+RkNUq3stajW+ETfe/gCuv+1ePP50S2zcuM28QrFnL2DSuIno+/U3WBu1zEyy7QBwJTbrw23Fcj7nfGbXrPS0EW7G+ViCMM0NQr0rqenvzK+VqxqEWo1eq9J75deJKer53+ks41SNWhB2u7kWktXpRNYewSFgmZk6tC2ryroCntrqNI7wzQcIwnweELalRSiIORZYuiVmQaT41h2aAcLMFqHTDug5l0BGFRxN+57HIkwdmmERzvWA0Kx3qF6mWqFeIHTng+cU0E3V6Fg3CD0D6k1nGepve/d+lVwGQs9k51FRS/DNlz0NCE27ydpobGbhoC/mo/v24KO3XkcwP/KUz+uaNMQ2Wo0C4WYBcOUyM2WVmXSbED165CDi4s+zULmAmNOxSExIwdwFUShdoz4KlK7Gwl0DoVkAq1BlIR3KAjOUwDNd4zWFlsay0dVKFbIKZFnINZAz1YxOdapmJSlGIEqLe3oO2uo3dcVX5wsHhGo/cyAQwnSKGQAJwgIwlXkwsDCu8iSrRyqQCBwMW4GFPzWY5w1lwV+UeS3G/JTQ+Zme0lI4Ay+mIyDKknXG1TlpGQtN6XnOZdZklD/DCIK+dAMJIEGqpOn1KevMsVplvarDjEBYjNAPJaxMxxme21hQHtV1yBJ2rGEBSip/Hpe/zstrNh8LLg3l7yEAq/1WGmrcho6lzTwpX5rOzJfX76deogIjLTPfcrVRpCw/YDT/J93CYTWRv3hV5AmtjHzFqhJolVG4WBkULloWRQg0n+LlUIQWnPZ9ipdFYJmKvH81EFa9DspF1Eeluk1Qg2Brcvt9uP2Rp/HAM23wTPsu6PTCS3jx9Tfx3ic98GWf/hgwdCQmTpuFOYtXYP6S1Vi9fis2b9uFHTv24ByfudT4ZCTGXsTU8RPQp2cvrFqyGD9s2Igta9ZS12ATYbgxOhrrVhKGfM7XRvMZ1uoTAmFq8iWv3u95Da9qEE6ZMgW33367Z88rvyRZWYS2jbDrTR6LMB2Ego9UAJN1RdAZFcwYJr1q1IKQwCEIBa10AFGtNeaA0OMOdapGywQ7vUZNG+FQWXWeqlEXxExcdXRRJ5n+BCHP44AwzLEIX3+YF9GRAGQ45j3NWoSe+Onp8LxO1ahAaFeot22ETrvdXyFXAuGyZUsJws8NCNWbbtWyJab95PCBvRg6oC+CA/2RN08ePHT3XVg063sc2r0T21XFpAVP1QFhNQsWQXHDGhw7fhjn484hhl/kMTFxSKFFOGf+UhSvXBf5SlShVUELRBaWgEN1IEIQEnIOYOrQVVsarcRKnipC+qujhApgdW7x5fEiBJKP2ab1QddpZ7IgVNqCAWHB86q9SumHUosxTZ1HlpVtnzSw43kcWDlwMBYc1UCMEAisQLAxvKotiyqPdAVgpaMONqbNj2FN2yAhqDY7B4A2L6oKlMXmVAnaa1YYdcDxreapRuW5ipV3gORLoBfhMR9ZZ0wnlOCV5ZsBMYKOaWueVllrgrCsWQ070EB09cYNrqLqR56LrtNe6cDfWLZSxjPDJ8rxnmveTrqhBvgEM8/nX7YOfEpFoFDx6rTOqiF/0Up0K9CCo+VGq61wycrw00QJ5fXxwjSospbDajRFlfo3oF7TG3HNzXfgjvsfwaPNWqFZ6w7o8PwrePnt9/Fhj174uv9gDB41DiMnTMa3383G9/MXY+mq9dj0w17sOXwMh0+cwvHjJ3Hy5CmciYnB+QsXEB+fgAQ+V3p6k/gnxfO66NFWLcTFs3GIizmHscNHIPKLL7Fq6VI+1+uwkR9sG1evpiW4is+3plZbyY++1QThCmzfsonpnmcqmoBQCf7+d/CqBuHHH3+Mbt26efa88kviLpBT0i7tLCMQJqmKUePvBMPIZ5GsDjP9uE/XGZog5TFVQY7sgqg3HIvwnohwnBNwBhI2gpHg51EDNdMTlfsaE6i0h7TD7l5PE4SyCPPjSM8ngcE8d6R6jToQTk+D4XXuZA3j6NuS6RGKg5/Dneo1KhCqs8yIdkiJpMWnsXB9mxPGqkbNyIOzTaj3IyBHtcNrnoV5+/Z1VqgnnRz3L5DMINQSWJLlK6LMOMJ5s74zs22siV6Kg/t24bvJE1GhrDMXaud2bXF4zy5agltNu6F6kW5lvJ20IFU1un55lGlvOXHiKC5cjMWJM7E4GxsPnWIuQVimRiMUKqUeik4bmp12S+1ZfpVrEQYRhEMtFqQ1eUzrE9ak9UhLUFWDLLj9WIgLgmoz0qKshQijwvQrwvgaj+dL10z5xeOmjdCjmhUlmOmbabsq10YxzaBSSVYnYWHOz3wwrqwo0+5G4Kja0VY9minCVFVIi8lfVifhox6nqs4NoXUkq9JUS+r8tNxCqjVEaFXGEfQY1mmv03ZN5kc9M+mmK2HPc/gQgkWqO+2QgeGqspQFRr/KBCFBFcB9zcCi9fdURalr9aH6qTpWnUqqOp1ifHhP1ElGHw+BlTQ7DFX3Ues9qjcr8xDMD4HA8AhacTVQJKwqfxNabSXCUSikHPIFlEYe/5LI7VcCuX1LIEehYtQSyOsfZoaSlCI4K9e9FvWvuxXX3/kA7nnsGbTs2B1dXn0Xb374Of73eW/07D0IfQaPxNAxkzFhymzMJtiWrCCAtuzA3gOHcfTEaZw5dw6xFxMQR4olpBJe1HjS7GJiEhKSkpCYnIwkvgdaL1Pz4SanJBv/eE3WEH+RStBd5HZcIuIuXMT5cxdw4fx5xJ4/i3PnziOefod/OoS+fXqjx6f/w/LFtAi3bMG2jRuomxylhbiVcNxEXblsGT/i1jONc3wxVCPzx+SqBuHjjz/unVrtN0i6RcgXIL2NcIwDwm631kPqhO6e2fU70KUOoYWmqbBowWGISwktTHgey991xhHeUyscF4bRX4OqB9Pqcoc14ZWmJ10NvKflubd3C5QJIQgL58Pxr58hWLvynJ1MtSmGMP30uJ44cgcTqsrLyI5O1SjzvejNR4Fx/BhSnnRurU6vvKSfX+e1aTL9CZ3x5oOXthGqF62F1Z8tFoRW7ThCdZb5+osemDNzmuksc/TAfqxbtRz1ImqYvD1w793YYibd3oCNBN52gnC7epOuWoEt3N9K63Edobiaqh6j5+NjcewMrUJ+nSckp2Lm3MUoH9EEhUpWJ3A8bVAsVE07E2HmW5UWXnUW2gSVYKju+0UIRv+qhAzBIgtL7WS2M4WqSQ3wCCtjddFyMj0vuW16idKSM+1WDG8gyLRCqtBlusWoRQkgWW8WmLaNT+kZCCpNWU6CIS00p2MOLTMC0My1qQ4edNVrUvkQpH0JI59qAiEtLFpo5jitJE0hJ+svoCI/AlwaSJWFqOEQPtWawLd6Y/hVbcL8NOUx7ldqQtDrnLz+8g4czaB8AlszvBTiR4KGUBTRx4A+CsrXQgFaZvlK16BWpfVdAXmLl0Ou0DLIGVIa2YNKIUdQaeQKLo2c3M4ZXAq5Q8OQOyQMBUNKwa9oGYSEVUQZ3qcqdRohohGtuUa34Nob78P9j7REm46v4JW3PsVnPXtj4JARGD1+Er6bPR+r1m/GD/sO4tCRk2bIwsX4FMQnpBFmIMBAl0AjW7Qty01PtuAm2EkFuAsJ8TgfdxEJhFyCIBcXi/OE0rlzMThrlB9VBNy5WOr5C8Y9Q4vv5KlTOH2K1uKx4zh14oTpsXz46DGcpuW4fccO9B/YH59+/hHmzZmFrRs3Y8OatXyuV2PVimgDv+WLF2EZdcGc2fz4W4Hzserf8cffvasahJUqVcKGDRs8e175RTHPG1+SZL4ISc5co6NHjzIFb/vbmiJtwsuIJywuDulM7YI4uvHDOiNhWBckDKVrlNvDCJRvu2Dee48ioFA+3FyrAk6N7orUMR0uDefZTmT8RKaTNLyrmSAZY5/Hgd5tER4cgCC/QvhRU7qN74wLhFnCwPZIGG7jWrcT4oa1xcURbZA4oi1ix7yMe2pXQj7me+G7jzAvbyFxYAckDu+ECwwTP7y9OV+i5/wmD3KHd0TS1Nfw8oPOOMJ+fW2vUd2YP/4yZiUZAEx1lF+/KSkpWLVyJb7q9QVBOAP7afVNHDMat958k8nXNY0aYfmChdi7bTs2srCQ9WeXX9qu9dzUNkjVxMarqUcOHeaX9UWcir2IE+cu4iJLvxnzl6FcRGPkL1nZsQhZwAsAsvj8WPD6VyEQWKhr3JgZSM2CXtaOqTplWAMkVUF6OosEs+AXRAQr07ZIIKVbX4wXwjSk2leXflle0oAKtRBUQXNocpvWnNq5THWrOorIj+lpTJ7tcOLA0qlyVBWsrC5fQZhpq0ekj+nco7FtBKTyzPMpnMAkEPsQTr48n9ro1BFIENVcnYGydAkwtV/qGs0QAsaXtallhXyYn0LlIpC/TA0UpBYuU5PK7bDKKFC6CgpKw6pwuxIKlKqEglSfstVRoGQlAq4M8tPC8y0dThBXofVbA6Wq10Wlhtei9nW3oNHNd+Gmex/Fg82eQ/OOL6Ddi2/g5Tffwwf/+xxf9+6PoSPGYtLU7zF73hIsXLISK1dvwpbte7Bn3xHC7gxOnjiD06dP4dTpM4QRLTBC6UIcAUgLLSEhEYm06uIJtnhZfPF04xOo8bhw4QLhJo1jnFhCjlYh3djYc4ScLLlzjlXH/TNnTuPEieM4evQIjhw5jMNHCLjDR/ATrTzpjz8ewL79P5p+Gft/3Mf9H3HAqPz348DBg9QDWEbYTZw4HrP4XEctWkJdjKWLl1CXYtmSpVixfDnWrV6D9WvWYM+uXbjIPDrv3x+TqxaE+qFVaMj1yq8UDwhTUmk1sDCWjBzlLMxbNywEb9xRGS/eXAEv3VIRL94Sjhfk3lwVL91YDS/d7NGbquDFm6ritdtqo1mDcBTMkwsVQwLwwu31GC+Cx1xhPfryLdWpNYy+eGs1vHFbDXS7pgqCChRC/vwF0eHmGjx3NXS8sRZeuDGCcXhOG5/n0vlfuKUWut9UEy9fVwndbqqBysH+KJAjD55qWBnv3cZzN66I5+n/gslvZbzMuC/eonQcfYFpdLy+El66rx7qlQ8y19y//xBzD+wg979C7EtuQahzyS9qSRR6f/MN1hBoY0eOQKkSJUyeGtatjXnfTcN+fl1vWL7CtAVulRVIa1BL2AiAmnJNcNy4goVKdDSOHjqCC7HxOE09fvYi4mgZzFiwAmUIwrzq7k5rTZ1DnHFtFoQEAa0+o6a3Ii08U71Iy8qAz7HS1G5VjBZaKOEhCJpOIISTaSsz8HE6iKinqapR1S5nICcIESw+ZSO4z3CMV4RuEYJK6mvaI5kPwkl5MEM2NIyCcDZVjZ701AtSvSSdNkh1biEoTT6Yx8pqj6RqSAbT8ylfg/HUA7Y64VYDRcpUg2+5mjyftqsSbNVQiAArVKwCitB68+G98af66h5peSNqQNmq/AioiaK0lItXq4swAi2sRl1UqN0IVRtdhzrX34omd9yLpnfej8a334u7nmiOti+/iZc/+Awff9kfvQePxDBabuOmz8DUeYswL2ololdvxKatu7Dv4FEcO3UWZ2htnYuNI8w0R2wirbEkQo3WWhIcS46PjNwE/o5qj0tMTOFxfuDQglPv4Li4C4gjQC5cEMSUliy5Mzh7lmmfIThPnsQpWW3GJUCpx48Lckdx6NAhHDhwwABt37592LNnD/bu3Zuu+/btNcd++okW56Gf6P5k4hyiq/gnmI7SsumePn3anFdQVR7Vg1/xd+/ajX1M7yBBqQ+1U8dpvZ5kWILcuY6LpuxOSkykJrFUcv79XrlqQShL0Du12u8QWSfJCUjztIuNHO2AMCdV7uXqWYneuO7t/MhON3vuPMiVIwdyZNMq9fldx6U/v+J87pz5kS9fKNOx4bTavTsNd3hNLVaA5ylg9rNn57nzcDuHs2/Cm+08GfuXqPzsSvraz4uBg4abe5BGQP3ZYgGYGYSS5KQkLI9ahmFDh2D08GGoVKGCyVeb1i2weN4s/LBhHdYviyLs1O1cvUSXY/Mqqtl2dBMtwY38ut4QvRLHDh81IDx1Lg4nz8aZKrIZC5YZEBYoWcFAxbGAZPkJPAQTrSHT29KlxkJSFaOBjiwnx2JyqkWdKlBZXWayZnXpF8AEUIZXO5pU4+HSB2gb8EppgRFY1vIM0AwsmkmFQNZ8n5rjMlBDKpg3ddbRzDdm8mdV2RJofrTM/MrWoEXJfVp76ihSpGQVFFFbmwb8E2SFS4ZzvwJ8wyoScOXhr4m1y1ZBscoRZjmq0oRZudqNUbVuE9RrdC2uuek23Hr3/XjgkSfxRLNWaNW6PVq36Yh2HbqiU5cX0LXby+j2wit48fW38Ob7H+H9T3rg455f4ovefdGrTz/07j8In/b6EsPGjMfBYydwltZYbFwi4pNp8fMn16/On8H8FkmJqhHgjvypKUlpSKKqCjshMZWgc9x4ku/C+XgzZ+fpM7E4c/a86QB16nQMrbUT6TCzKkilQ00gI9QENgFu3779jtV2QHrAbDv+0r3cpxVHf1lyhwmqY0eP4zTBJpAKbOdpKV4gcC/GO8BKJLDkShNocWpfNUvJaltMIsS5n5yUaJ735JQkA7f0Z15lDTUtJdWAT7Uiuj/S1OQUE1fx7Lvye+SqBeHQoUNNG6FXfpvoYdPDZ95IyghP1WjunNkM0HJSjUvQ5Mwh1fblmidHLobLhex5CcScOZGbfpr5xMTLFDaz5qLmyZUDhXLnRYHcgchh0qJ/zlzctuFyevLhicPt3AyXO2deKs+TKzfPnQe56eZWOOY1hyusjZehSk/hGZdhBcW+/dVZRi/pnw9CK/YFt4WCNIWFx5bNW9D7669QvWoVc/9vv/VGrI9ehj3btxCCS7Fu6WKsW7IEGwlEjRsU/GQNmkH0hOCm5VEE4TJjEZ44dAwXYxNwKpaF5rmLpm1oxrzlKFejIQqWqkjYCFCEjQGdlLDitqmSNJ1RCDh1QFHHF4FK1qKqEKmqSnQsr8bc17RkGo9IyJk2QQ3JaEwoNoFWV9CE1Qqjji7yD63a1Lj+FRqaQd1+5avQwqOVRqvLp4xnzb2wylRVNVZAnqJOe1qeomGEGcFWnFZb8XBabOEIYLigctUQTGuvaIWaKE6YlqneEFXqXoeIJtejIS21G2ip3X7/I7jrocfwRItn0bpDZ3R+8RW88vZ7ePfjT9Hj6z4YOGQoRvPjb9y4MZgwfhwmT5qI76ZNw6ypU/H9pEmYOmE8Jo3hsRGjMGb4cIwfNxZzZs3C4kULMG/ubMyY8R3mzOb+wgUYPnQwvp0wjh8hZ00nqPO89xeo8RcJCMIv4SL9aKHHno41qgnRz548h5gTZ3Hq5CkcO3aMQDtGwJ0wYDOWF6G0f/8BWmf76f5IsO3Drl27sHv3bqPaFuyk1t+x5PaZqkqlIWAKnFZlGVrAyYJUlWlCggOzBAGN0NJE7faDMPPzmv7cpqRcotZf4QXEzP5ZhUvhfUqVa48RjoprqPgH5KoFoXqLqteoV3696EE0Lr/OnG8yYNTo0aYgrhdeAj2faozPH2uIntRPH6mPzx6phx6PXIMeD96Izx66Hj0eugGfPUiX2veJW/DSrU3gmy8fqhUNwecP34reD9/AY9cxrPR6Jw7DfvYQ4z9yE3o8fBPj34QvHrsV79x/DYoWyYuiBQrjJabb82kee/oGfPBIU08cnc+Jr/N+8eC1+Orxm5m/W/DZ43egbrFg+BLer9xZB988dQvDNcUHDzRBj/ub4gvPud2qtP732I3o9eztuDuinLnm3p6FeT235U8Te58ldttdOEgWzJuPRg3qm3zUrlkDS+bPxqbV0Vi1ZAHWLl2EzYTiZkJvg4An60/wEwSpsgY3EZCyGlqlxTIAAGccSURBVNcvX4HjB48i/lwCLQiCUBYhTzFzbhTK1GhgAKO15MwCrIScM56OalxVd6pN0HFNj03NNkIrKoigMevQVdZ6dWobzAgnYGrlc7+yhFvZ2vAtEwGf0jVRhFq4VHVqDVpo1VGwRDXkDamI3NR8weWRP6S0sdb8SldAEC23EIKxeKXqKF2tNspG1EN4nQaoRmut7g234Zpb78PNdz+C+x9rhZbtu6PrK+/ijQ964MPPe6NH70GIHDIGoyZOx7Q5izB95hwMGDgUffoPwJBhwzGCEBs3fiymTpmM778nuObMwrz5c7CEHxcrli9BdNQiRC1dgMW85/NnzjDT3M35bgpBOAGTx44iBAnLwQMwfEA/jKLVPpnAnP7tt/iWgNT+qCGDMXLwIPT8+H8YS1ieOnwIsWdOmSrAo0eO4tQJdSg5g6OHj+OnAwfxIy22H/fQYhPEqHsJrz27d2HnDzuM7tmzk/s7CbUfsJ+A2793N6G210ym/tOB/QZugqatkhTUpAJaZo2Li0u33Iz1RuBJk5Ic6839HMrPAupKasNLJZn9pErXpm3OmZhgYGePu+MIuOnQJBT1dpjaqT/4Dl61INT4QY0j9MpvFD6UyalJSKIrGTPOAWHr25sA3z5PMnaidvZoR2Ak/UZ2d3SER4d3Aya+iVWftEVIkQK4p24VxI15h8deyAjj1pEvMq2X6b7EfW5PfA37IjujbJA/ygT44/CgV4FJLyBNK8iP6EJVOtThHtecm+cc1dXJ15i38WhEFfhmy45VHzwOTPkQGMZ0R77GOHSVP3PuTPlRetPex/uPNjbX3Kf/UHMP/kgboV5yK7bwsH7ufakKAsn8OXPRuEFDk4eSxYtiwpjR2LltI9YtX4h1yxYTfkuxbeVyrF+8yGxbCKYr9zfQWlwrXRqF4weOGBDGnD2P04QhP7Ixc04UygqEYeEIrqIu/FL1vKS1JyuQ1qCxAs3YPQeOGidnFmjViuRlqyMwrKqZVsufrm/JqihSLByFQstTw1G4aEX4lqgMvxJV4FOsIvxLV0PxinVRrmZTVKpzHao3vg11r78HjW95CDc/0BwPNWuPVm26oUv31/HaOx/ho8++MNWMfQiwIaPGYuxkQm3WXMxbugzL16zB2o3bsGHTTmzdvhf7DxzHsROxiIm9iPMXU3EhIQ2xF5NxIZ73lPfz2LGjmDLxW4wdNRLf8nmeTGtv0tiRmD5xNGZOmYC530/CglnTsHju91g0j+CbMwNzaNnNmD7FDFeZ9u04TJrIPIwdgRHDB2PooH4Y0L83+vftg0H9+mNw//4YOnAQhg0ajOGDhmDogIEYMmAARgwejDnfz8Du7Tuwj4Dbt2839u3fix8P7GOef6SlRituzw/YvXcH9u7fiX0/7sKPB/fg4KF9OHLkAI4d+Qknjh7CyRNHCM6jOHPqOOJiTiI+NgZJcbFIvngeyfHUxHgkEloCl1U31Kxo21hZHn+r9tnLrDZs5uc0cxqZj2dWCzaFNVWkFnTu9D1pmaEZ1BTtk34pfPcExD8qVy0INaOMqhO88htEH158KBPT+DKZIoRMGTvGFMgdCcKUkZqz81kz9s6MCTSD55sjbcBT3JY+TX0Sqf2fhGaWmf3mg/AtlBc31SmPk0MIqMHP8pgN52haf+pAq83MPoY/g11fPIbSoUEI8PXBoV4ag9gc8RoDKLVpKC7PmzbwKSQN0Ur5jwEDHmE+O+De2rQ0CMLZr98BjH0Byb1bOYPvB7RECuOmePKbZpTbOu9XzQnLrnjLTro9dJS5B3pB/4govjsNdwEgkWuPb922zbRt6/zhFcrjq88/Y0G6FdGL52H9iiWmLXDjsiVYv2QhNtMalEW4wQVCax1uoHWzdvFiswrF0QOHDQhPEYICIcshzJ4XhfI1G6Awra+QqrVo4RFu4bTgKtCCC4ugxVYNBYtXRsGilZE/lBYb4SbNH1wWBUPLEW7htNqqoTThVqF6I4RHNESNBtej0Y134Y4HnsTjLQg2WmrPdXoZHZ9/E6+9/Ql6fDkA/YdOwLjJs/H93GVYvGw9otduw8Yd+7F7/xEcOHiM0IrByVPnEHMujhZMoukkojY0c6fM8+lsJNGNTwJhl4zYuCTEyWXYGMYREGX9atmf2AtJ2Ld7L0YOGUhrbTDG0ZobM2wQdTAmjhqEKeNG4PuJYzB76njMnf4t5sycilkzp2MmITjzO27TEpwxfTKmTvsWU6jfzZiCWbOn04KcaapDly1ciuVLlmHdyjXYvmkb9u7Yg5/2H8LxI8dx8ugpHPrxEA7t/wnHDx/DiZPHcZxQO3aCFhzdk6eO4dRpasxx5vkkzp0/w/yeNRp3IQYJdBMvxiIpnr9Z4gWkJl5EWtJFkH5G05JpWaVQ+eGqKkRZTgYqHnU/d25/u+8Wu2/juMNZtcfs8cx+btUxd3yJnnu7b7dlGVq/9GOEXzKVqTiWo/Prp4vC/Fa5KkEoAGqOUa/8NuFjaFw9yHZA/agxdoo1z+oTmmtUg9r7OpNuOwPqrRI2Ui1+SxAu8QyovyuiPM6ZKdbaItWE94STDpBLP7OWIEGpadKGtsHuL5+iReiD0MIFcURTrA1ub5ZhMrPDXJKGc26zaG+k5holoLUwr+YazaG5Rh/kRXRAqlbUNwvxPkNwCohOPDMbjc4r1ZqIDPv6/c7MMpH9nAH1pienuTe//QWU2C90qd02LzwLA7svUfXW3ffcY87dtGkjfPP1F4giADXd1Ooli7B22VIDPQ2UXxu1hBbiUqyLWmraDN1WoeAov1WMsyoqCod/OoK48wkGgqdjLiKBP+3MeYtQPKw8chf0ReHi5ZEvuDTyBpRE3qBSyBNQArl8iyK3X3HkCyxJ+JWGjyZSLlcNJSrXQaW616DRLffh7sdb4NmOL+GFNz7AWx9/hm8GDsH4qd9j3rJorN22E3t+OoxDR0/g2KkzPPd5WmsJuJiYAhpspqOIimip7qo6kCQmpSIhIZUQSMT5C/Gmg8+FsxdxgXmOO0ele+5ULM6cOIeTMedx6tx5M5HzmfMXEXM+jkr3wkWChefiRarH5fmLSfhhxy4MHTwIAwb0x6jhwzGcltqIoUMxklAcP34UptDq+57QmzNnJhbNn4fF1KUL5yOa93aNLO/Vq7BeC8du34IDtOaOHz+Ms2fP4GLcBcRfoF6MJ6R4U3URUo8kMA8xMbE4R42lnjl9ivunTA/O2HMx9D+D87FncTHhAu9LnBmcnki4xSfF85nQxAcCneOm6X1MoyUlayk5kefhHVTVYaqsK1p/LhBmhpEVu58VSK4UNiv5uWNZicJnVgNAHaM6z4H2HehJVSnq+Dlh3KL4v1WuShBqtQmtOuGV3ybmUdRDypfIDqi3IOyqZZjM6hOCh2c2GFqGmm/UmabMmWJNU62Z+URHd8XyNx5CSH5nGSYz1+hgzQxDYNlwsiiNVUkw9ePxfkqXOrRj+lyjoYUL4IhZhkmTbhNoJo4T35k4W9qOUFZ85k3rDhK4d1Yr6Zl0+2FeBC1Zpq/ZZcxco4PaM247T3zl10nPrFCv1SfsXKPpbYS//cVzi/mw8EBProWi/OUnUSeFDh06mPPecNMNmD1nBsaPG43pk8dj5dJFWB1F6466jtagASBd7a9VpxlC0W0RCoTyW7l4IQvzKBw6qOETCbQ4CImzcabr/ZyFi1G5Ri0UL10OVeteS2vuBtRuegua3HwPbrvvCTz0VBu0aPu8seZeeesTfPR5JL7uPxLDx03F5BnzMW/pSkSt2oA1m3Zgy8792EvL5/CxUwTteZyLS0RCilPAqVIrgXDQjCUXEhKpSeb4WcLuLGEniJ2mBXeaQIuhBXfm9HmcpkV4iio39swFxJ2Nx0WPXjgTZ/zOMbzGv2kWk1i6ZwnaM2fO4vTpGNOLMvZCHM7J7/Q5bN2yBd9OGI8JY8di2qRJmDX9OyyeNw/Ll/IjYs1qbNu6Cbt+2I4f9+3FkYMHcOzQT2Ypq9PHjuLM8eME7wnEnDnN9ByAnY3RkIAzzMNZnKfGEHAnjh7Bwf37sHvnDmxavwnRK1ZhWdQK7Nv7I605/s4JybRuz5vB6UmJCQZmKfztkwg+9aKUptCyM8rtVM2vaSGXTD9qmrYNCAk6PTa8r8ncVruaemiasB4AWpVY1w1Hd5is1Iaxbma1ktUxq25x+9ltCzursgTd+wpj/Kl/VK5KEGr9Qe/Uar9d+OgZ95K5Rj0zy3Q1k25rvk+BUNOcOatPOJNuUwUzQimVFpksLGfS7UxzjQ4WdARNq4IgrTS5Zuo0uQJhhywm3XZWn1DY9Am+zfl4Xurlk27b1SdkEQqEmSbdTs8Dlek5U6wRhFqh3i7DZHqNOi+uuTueF/m3iH3p1SHBFkQWhtqXyH333XeRM2dOlCtfDus2bMCOHdvQq2cPfD95khkYv2LRfMJwIa1CgTCKEFyC1QTk2qhFtP6WpFuEFoTr3SA0FmEiYSsQnseF+CSC6yeMmTAJI/j7zpi9BIuWrsaKVZuweu02bNvxI3bv+Ql792rAtMaY0ZqJ0UwjLHCdLBtJZkGsXoWJLNiT41NoISWY7v0avC8LVGPhTtMSOn1WXf3pxhBwZzQ4m5CT8pjaLTVuTlWhCq/puGRFxWh4ACF25hRBczIGZ6inTpzGiWMncfzwcVPde/TgIaNHDv6EQ/sP4uC+/YTRAe4fIsyO4ggt0sM/HqRFfBB7d+/CoR/30/8grcpTuHD6NM6foUugXTh7muc4RuBJj+L08aM4efgw0/mRcNyNvTu3Y/u2TbQKeY/4EbJwwVxajzMwa8Y0zJg2FVPVUWbcGIymhTl00AD0/aY3PvnfJ/jsk88QvXyFY6nxvqXRohPcZM3JVU9Sx/VomtrNHBAa2CUTBLT05KbxXqd6/GROy0DUDFAp/EFMWD5DVu0zJ5XIdR+zfm6xYeRmpVbc279HbHzTM5Q35efUTC4h9bx7f+TcVyUIW7RoYVam98pvEz5qxr0UhN8aKHQRCEd71iM0IHSsQa36bkEIwsgBFf3GWBC6lmG6wuoTBqLGFZDoelaf0FyjoYUzr0fI4+nnI/QsCLUgL0GoCbgvBaFWn+hES5RhPCBMk0Vozq90BEUPCD2Tbr+RPun2pesR/tJrmNWLal9gtwWofXUakGzatAlt27ZFvnz5UKRIEXzLQlUSvWI5Pv/sM8ydPp1W3zKsWSrwLXSsQaqxBmUlLiEICb2N0cvSe4yqWlRVp9GLFiCa24c0oF5tZ6oaPR2LI8dPGSCqne08LRW1wVnRpdK4QFI883gxjW4qXY8ShPEEetxFgu6CVrM4izhaSPFq1zoTQ8BQZY1x++ypMzhLkJmB4bTaLsRd5DatPgIxJkYDu8/S6tPg7tN0NWvJaRw5cgxHqYcOH8VPzPNPBNpPBzzK7YMHfsIBAu/AvgME4U9GjxB0x386RHARYBrrRj1z7ITRmOMnzf6xI4y7fw9+2rsXB3bvxuG9tNy2bcHWjWvN6hxa8keTmq/k/YymRvGjY9G82Zg7Ux1mJuO7Kd9i0uRxGDd2BEYNH2I6zAwZ3B8D+0eif5/eBN/X6PPVl/imV0/0+uxTfPH55/jw/Q/xwXvv8/4ThLqv/M1TkhxLMFVK2HFDLxuPWtWzwmJfakbN00smtVX5ufb1W+mRsx1NslL7/Ln1Sv5/pwhytmPML6lg6M7f78nrVQlCdTaIjo727Hnl1wpfB+NmZRF2u8UNQlVDekAocAloHhWYDKS0+sQbWaxHKOi5wpv1A1U1KYvQgnBYu3SL0FmP0ILQWaHegMuVRrpFqLbJyyzCjGWY1NHHdLbxWISKa0BqtlXV64Aw83qEFoS/JO4Cxf2y2nZAuSqE1IVcojbB++67z5yrUKFC6NnzcxMvhVbA0iVL0fvLrzFj0mSsXRKFVYsXORYgC2ypttcsdUCoalBZgdYiXL98CdYsW4TlLNCXL4vCYcLlgqojaW3F0lo7SyCZ7YvxBKKm1ooj1C5SZc3JqktA7LmLiD0bd4mei2G8s+fMeDPNORlz+iRiThE6p6XcpoVlqg2pp08eN2PhTpw8g2ME0iHm4aCm5CLgjhBaRw8fwxFZbVS1YcpqPSJoEWBGGUfWn/SkwK2JoWUdEq4CbKzGvemcJ08Svqdp1Z1F/PnzuBgbm64JFy4ggX4reK+GD+qPwf36YNjA/pg4cgTGE2gTRo/At2NHYRJ18vgx+G7SBMz5fhrmzJhOS28ypk+eSGtvPKZMHEcQjseECaMxevRwB4RDBmDQwEgMHdgPg5juwL690a/31/zNvsBX1M8+/YwfMj2wYd1681sTP4QbP4KMJtKiczSF1nRCwkWjiXLj45BwMY4fHReQFBdnNIEfHXGqho05g4vnzvHD4zw/TOKQmsDnSDD1QNSKfQ5V8yC14LPH7L5cq+7jdvuvFFmEFnK/pILmH5WrEoT6uvYuxvvbJSsQpk+6fZPTWSbDIlTVqNNhxlp3gppxVb1plmFSZ5m8uCfCbRE64LSqfavpVaNmYd5mzuoThfPjWK+n6WdByOPuNBSXrrUIlQd1lrmzRklPZxkPCPsSepHMa1/HIlQcdxqphHGKWZhXK9R7Vp9IB+GvLxhsQZJZVdjICrSFjmDYvn17cx59uK1bt84UWqbNkKdbEbUSfQjCWVOmE3LRWDJ7JlbSwlu9ZKGB4KrFtPYIurUaQhHl6SxD1QTcsghXL1uMZerwwW1ZWhdozZ2kBWbazwjDWFppJ2WZnYs1y+g4VZLncIagk54lIDWxsuauNP604KQnTpzBcVVREnAaiH3y5Akcl544jBOnD+P46UM4dvIQjp44RD9NtyWwacYTB3InqKcJtrOMLwsyVlA7fZZQO4vTTF+gjY2ltXn+Ai7QmowjoNUOaBYVjk8ybW1JiWpjTUBSsmY00dABDf5WBxO5F3kPaXmpnS0tiff5gukB+sHbb+DTD99D/296YezQwYThcDMecNKYEZhGCM4gBOd9NxWL58/CIuqCuTMwd9Z0zJ4xFTO/m4wpU8Zj0qRxmDB+FMaOHoaRIwdj+NABGDaoH4YO6ovBAyIxIPIbs5iyqrQ//fh//LDpgXVr15iPhhMnjuHY4Z9M1exRTU+mmVv27sG+Pbuwe9cPRnft3IEd27diO63VbZvWYdvGNbRa19BqXYWNa1Zg7coobKCr/Z3bNuDHPTtw4tB+fnQc4+/Ee0n467lSm6He4axAKHE/k1Z/zk/6Z4tS5Bl+tf5RuepAuGPHDjPZtld+u/CR16caXwJ9rTlWy6hxTmeZzlqGaUxHJA58FsmDnCrR5EFtkDywFa0qgoSgc1yqqhxHdcHytx5BSMH8tAjL45zgpc4ysrxsOI+mMM3Uga15jGkzPYxoi91fPYWwQH+EFCqMYz2fJeDU85MgVHye14nLONQUpRFJqH7TwvRKTR2mzjKlkSt7dsyjVaqllVJkeRJ6qZHNuU13kOIyDZsfgVT5HtMWrz9oLcJ+5h78moIgc6GhgkTi9rfH5H7yySfmHCVKlMDy5cuNvyCoCZIlK5etwOC+/TH/u1lYszgKy+fNxYqF87ByoQA4D8sWzEXUgjlYSSDKMlRVqFl2ieBT1emqFUsRtVgW4VIzQbIswgu0IlRFKYswVlahYBeroQqE3VlaeNQz1NO0PLR9mlbXKVpbcs/QT/6C4ckz53CCrsAlsJ6kZXaChfGpM8d5/CT9TxCip5kGrTjGjSVQL2hyZwJXU3Ml0BJNiifIEhKNm6hB1maCaGc2k0S5tJZ03FQpyypwFdDqOZmsHpUEXRocTUkj/KhJKQQBn13Nl8unGHEXz2EKrbr3CcKen3yEYQP6YewwWoMjhhGGwzB13Gh8z+Ozp07ivZ6GhXNmYMG8mQThTMyb/b0B4Yzpk/D9tEn4jjpFluG4URg1cogB4ZABgiAtwn69Efl1L3zV8zP07PEJPiZ0P/rgXcyZNQMb169BNH+bFZ6q12ha9Cv4m2mVhSgpP2yi+IGzhB86i/hxs3A+f9tFc7B88Wx+zDi6lHBeMm8GFs9TR5/vsGjuNOOuWDwTy6MWIlo1AevWEqTb8OO+fbS6Nf7wOK30M7z3tJYvXkAyPxDU4SYrETB1r20VvrnP9LPP7J8pfBN+478/LlcdCLXs0v333+/Z88pvEltg8yVA8kXjNWy8YxF2uKkOEkc+j6SB7QmrDkjsL7h0MO1qGrpgVVWUyX3bQ+sRrnjvQbOM0h21w3CWkNMSTiaMK7za/ZJorZlenYybFEkY0fr74fNnUDLYD8GFfXG0ZztjTSYMaIuE/gQZLcNLzsc8JPXuhORvBOl2zGd73FqjHHJly4H5WpjXjH+kFdhXMFV+OzFeW3Pu9LyoWrRfC0KzA966v4G55iGRDgh/TdWMBZ39AncXJu4CRTUVo0aNQsGCBeHj40OLe4zx15e8Uxil6FMZ0UuiMKDXN5gxfjJWL2IhOn8+Vi+mNciCc8XCuSwEZ7LAnIllhGL00oVYtXwxVq9YgrXRUVhDy2HVquWIilpkFvg9RCvkwgVC76ysOwKPqsmQzwhyUs8EyVI77ZadMNnOUiKNIQjPMq56SxqrjTC9cCHOmXeSrjNRslTVfZp70pm1xAyiTnIKWTNQ2j5nVvnP3C/dJ7ppvAfmvqlQlh/vj723UoVVL0v1rExJTaRfPG+Z5qOUyj+B5+KHHLcvXIjBOFpxH773Nnp8/CFGDR2EyWNHY+rYMYTgGEJwAuZMm4oFM77HYkJrMQEoi3A+t2cRjGoftFWkk2g5ThgzEmPUKWZgP2MBqjq0f5+vDQS1bFYvQvBzAvcTQlDwVbWqmamGgEtXfqAs4weM1eWEoD221OMuXzQXyxcScoTgckJxBff1AbRisbals4zf6qgFWLFkPpbwIylKH0iKq9oCVaOr3XjNKlqV68yEDPt2bsOhA/vMeEZZ83YibDu7jL2/utf22ZWr/T9XzC/6q1V//6hcdSB89dVXjXrl94meeTOvoKdqdMiYsY5FeEsdJA3tYhbHTSFQ5KbRQkvtI22frmm96fYmuIa1w+p37kNooXy4p1ZZxPUnZPo05zGGcYVPMXGYFlUWX8o3jDuwK3Z9+gzKFstLkGr4REvTdhc3uD0SBj3LsB0zzidlvISh3RBPKzVVVuewNri3dlmnjfBlgnBMdyT1aYf4Xs8SfARmZCfGYzijnrxEdgT6atacV/DWvdeZax4eOcjcg4yZZX75lXQXJipcnKoq5ytchY+GSPj7+yNPnjzGKrRf4VZV8OtHWBG1DP2+7I0ZEydj1YIltAjnYwWtwNW0JFYuUQHKwpQFn6pA165cjg2ro816hWu0BmH0UlqZizFr1nTMmT0Te/buJvScuSuldn7JE6Zq01mBwACRaoEo8JlleGjF2ZUABDRZrQ7kNNjd8VO+nesWmHQdjnVh74WuyRaoWRWq1t+EU7We6R2ZAT0Thqptk47+pclyoWoYghlUronitXSYYCprMo5WUCyOHTloOra8/uqL+PSj9zGeVuB3E8dj2vixmD5hHGZNmYS50wVCWlqE35J5s7GQHxlqJ/yeVuK0SRMMBDUjjQA4fLBjBfbr/ZVZOPnrXg78en76P6Off/I/fNnzU7P9v/ffMfFX0UIX8Jbw91tqgOWA0MLPvW33V/D3jSbgVtLaW7l0AX9z+c/FsiXzzP4qWYFLBT3Cj8eW8yPJpqNz6FzLzHPinFedfxYvoGXJdM1UciuWY9u2bWYOUk24rY8ke3+l9rfL6vf6M0Sp/hb9o3LVgVDWoHdqtd8pKoz42Dlf7Q4IR06YZKDQ8eYIJI1oj0S1Cw6m9TZAbXNtnapFq2pr87gY1g3LX30UIQUK4O6Iiojt3RaI1GryrvBUpZPs8VOVZaKJ2xG7ej2DcsEFCcLCOPq1wNoBF2nNqUrTVI96VNvKR/yQ55DQ92mCjqBk/u6pVR55cuTEvDfvB8bRShxKa7JvCyTR6pPV6LRLqjrWptUWaYPoN6IjXn2wsbnmrwb087yEnr+/olBQGFuACwYCiPwEkxdffNGkW7FiRTPEx7ZjO1WiKtBTTJVgKuNpjbavevTErMnTaBEuQ/R8Fl4LWSjSelhKi1BtWAvmOPNgLpgz06h6Oao9TFV5U2nFjB0zAtOnTcGuXTvMGDhr2TmTKzvtcLLmzJI9WrrnIq06s46dAz6B3HbwUXW5XF2L1L2fXlRZx4QxWyaMnidbsGrfhrFi0zEfAunWoICmZzEjjsRJTx8LGm6gYQcC8UXExamN7BStVF3jCRw5fAAHD+zFxk1r0euLz9C1c3u88/orptPMpFEjTNXopDGjDAxnfDvRAFHLW+l+mt6i0yYTYo4VKAiOGzUcI2lNDu4f6XSM+Ua9RD830Pvis48N+ATELz//jPqpsT4/ohWq+KoOdUNQFqAAZffVmUd+y2nZy9X+ymWLTE9WfehEE3rLCbUl/N0dwDlW3zJahEsIt4W0YDUvqk3PqknTcy7tC4zaX7R4EaKjV2Drtq3YuHEj1q9fbyYhsb+PVfsbuX+r/w/R2f9oHv7TILz++usRFhZm5hV95513TLWo9tVO+G+U/+8HTk+c87VNTXGqRkfSIjEW4a21kTyiLZIGtiJIqLTw1J5n3P7NPfqMcZOoGj6x6PX7TRvhnbUr4GT/lkgdohlgGM6lCpvUl/4EU/KANvRrDQxvjz1fN6dFWARBRQrj8Ne0CIe2RGJkSyT1foRhW16aBvV8n8cY/xkk9utMq/EF3FKtCi3C3Fjwxl3A2Na4yDCJzGtC36eQROAlC4rKu9JQ3vu1pKX5KE3g5njtbmdh3q/69zb34Nf8LOaeUW0BIlcQsYXLl19+aTpxlSxZEgsJNIk7jI2TbMaYOb1GP/ngI4wbPpKF9bcYP2wUxo8YiXEjhpupwkYMHWh6L8pKUc9HWR6aEkxwXKzCMmoR1q6JNh0wNJOJOpNYsFlrTeczLtXuu6/D5suK9Tcz7ehZSQ/rieuK71al41aFvUQ9bYCqPk2vhlZcwVbnEhB5LIFwPk+Ax8acxdkzp1h4H8KP+3dj7+4dvM6t2LJlPTZsWINN61djLa3j9WtXYTnvw+eff4JuXTrgjVdeNNWYowYPxKiBAzBq0ACMGzYE3xKMtpp0Jq1AfUzIGpxKEE4cx/s+ejhGM9wwQlQ9RE2VKEGo6lCrfbkvlaUoV9WkAqR+F1nspm3Q6BJCThN788PGBT7n2KJ0KKr6VGBbTEtO1tzCufzYmc0PH6os1iXz55hq0MxAXRO9DOtXr8SGNSuxkde/ZcNabNu0Hts3bzC6Y+smbNm6BWvXrjU96+fMmWOeR03crd/KufUZH3PW798u/2kQanUJFVhZqWaW0TJMAuSiRYs8Mf7ZYguOP6KZ07Hyc8fd+1LzEiReMMcGj3bmGu1yZ11gUlfTqxJjVYXoDDUw7ihabCOltPqMS7/v38bWHk8jrHA+PF6nHJLHvwB8q4m1GcbGMcrtEUxnZBduU0dqdfvuOERrrWZIQZShRXhqQEdg8osMp4mzbVy6oz3bOuc4WpLjGW4MzzHuVTxeOxz+ObJj1Rv3AlOY76FtmO/OjKO4PIfijM6U/xEMN/1dvPeAUzU6pF+kuQcZVaOXir1fdltiIWM6fVAl48ePN2MEVR2qjzWJChkTzmMNSq31pbS0jM73075j4TcX302agnEjR9K6GIfpkydhBoE3f94sRNFq2LZtE0GwEwc1WJxf9TExJ3EhNoYWXSzz4vSe1Lg0Cyu32PxLMxd6Nn/Wz7ryt2Httq7ZXrc7Dfe2xJ2GO77Zl6bww4D3QdWx8Vqc9UKccc+eicHhnw6ZxVx3bN+BrVs2s5Bfy8J+lVMlHL0cK1csRTTvh4Ci8YCCzNpVKwx0ZBG+2L0L3nrtZQOoQX2+wTD+tsP798VoQnH88KGYNHokvpN1OGUyZvH+Cobf0UqcOpEw1IoTY0Zi7MhhGDWMHyFDBhooDmZ8WYiqKlWboek4w32pqTrt1dNUqwpOsvYELVlzbstN28ZazLRvLcglBOJyAm7VclqHK6JMNatcjX3cpHGQm9bhB8Jt946tBN1Ggm8dNq1dbY5bAAukmkD8W0J9BK3ab775Bp988ik++ugjfPbZZ6bNWss1uX+P9N+Fv1Pm3/HfKP9pEGrxXTf8rqT/lllmMj94btetbnHvZw7nVvdx97bdd4v8NA2UCs+RtEZ0D28LL4rIVjej99PXo0+zG9HnqRvQj25kM+1fb1xn+zr0YZgBre/CG3fVhn/egqhbIoTh6dfyDsa/AZFPM560md2+AX2fvgl9mzF9ptm/1S349OEmtCYLIcSXcR+5DgMZ9+un7kff5rea8DYN5UPugJZMo9k16N3yNgx45lo0LhuM/Pl88OLtTTG02bXo9/j16Pvkdej3zI34Wvl250PpMO99n74FQ567G7fWqmqueWA6CC+/T24/uy0V0FS1KNGyOF988YWppVB6+nBTGEFD0DPgI2QFEFlrxl9Q4X1XFanpaXkuFiePHsPJI0dx9vRp7sfQ/xzi4s4hIekC01MvU5s3uYSRGYntjMa2HUqcgdoZ+fw5dT+HUklW++4CM/OzK3GH0bau0x3uEvWE27Nzt1l9Y+68uViwYAFWR680s7OsWkHgrV5DK28d1q5ejRVaWUMr8K9kgR+9gtCLwppVy+hHjY4yAJRVJHB8/VVPvPXmq/jkw/fM8IZBtOjGDB7k6Tk6HJM9VaQzJ3+Lud9Px7xZM0z16OzvnSpSdZaRZTd5wth0II6kVS4YDhvc37QbCoQCoB1TqGpTVZcKosrL4gVz0gFoISfLT/kzbbzM65Z1q7GVFpw6t2yhFSfgayjFDz9sw07qDzu2YftWfgQQdqtXrsBSxp8zayamMt/jR48w+dGgfrWFqqPO26+/gtdf6o6Xu3fFC107okuHtmj/XCu0bdcOXbp0xYcffojBWiGDVqEW701/Jl2/l9z/gvzn2whtIXMllWWo9o5/uuiB0wOowlDbcrUvsf7WtQ+oLVik7gfXnVZWxzOLCm91oFBnCfUMHD16FFq2fAadu3TC9TffYu5jwRw5kFcL15oFcB3NY9ycmfYdzUv//IyXM1cR5MpVCHlzarHd3FQtnss4OeU623m0b/w9+7lymvg5cxdEznxBKMLtAvTLnTOPK75bcyEv/ZV+7lz5UYR+BfPkRPa8PsiVxwf5lR+FU14viXep5smVBwXoaiHgbNlyoe8Az/AJAxirjtj7ae+vVbffSy+9ZBYSliWoMYMqZCS63yaswqlaUNV//Ke/+sU1iDhd9HvSUso4tfv30++s6kQ9M/qN5SVX6rSh8enx7Gf928vP7W/3sworcR93a1Yif/czafcz3ysTxlxjGpYvW44eH3+KyC+/Rv9v+mDoIFpgw0dg3Jix+G7adCycv8C0ny6LisJqWnwCwtpV0YSDJsZeiTWrVxCYBOfKZTy+HKtWL8cwQqrXJx9hwFe9MJLbZjC9sQJHYOrY0YTgWGcIBa3t+QThXA2on/qtaSOc+u04WoVjMXn8aDMAf/SwQRiusYMDZPn1MeMHRwwdYHTU8EEYP2Y4Jk1g2LEjjGos4vbN67B1EwFH3bZ5LXZs3YjdP2zB3l3bqNsJ/63YuX0ztvH4xnUrmX9acgT64kWLMYMw1uK/gwcOQu/evdHzi88JsA/w6quvoGvXzujQoR3atiHcWj+D51o1Q5tnn0Gn9q3xQreOeOO1l/D++2+hx2cfIbJ3LwwZ3A9jeQ3Tp083HxlqH1RHGXWYUluxygtbZui3su5/Qf7zIGzHr5vM8LOqFSj0pfNvEfsgqmBQoWkfRm27oSZVYapwUntMfraQlV5JFGbr1q3GolavsQEDBqBBgwZo0qQJbrnlZhQrVvSS+5g9x6X39depVnln3OwFkD1bHmpWYX5ec2TPi2w5A1x+TppX1jzUHMjB7bzKc57Cxi/j3AKc3f5l7d/fGVBvZ8p3i34T3Uf9RnLtb2DdPn36mDQ0TnDo0KGmB6b89XsZV78tU1V8o4KaUed8OqENr/YxdR4xKw944qfHo2rfrfJTAhnbDpSyEpuGFXf4zMeyEne4zOHd21ZsGF2HfdbNNVF54aa37JuvvoYPXnsLX/7vM/T+Qm1vvTEgsq+B4sihwzF6xChMnTSJkJmBRbSuVkZp2MhybFwbjc0bCZONq7GBUFzP/a2b15uxgpGff4ZBX3+JEbTaxhGEY4cOxLhhg82g+vFUuZNHqz2WwJ08Ad9PmWhcQXDKhDEeHW3AOGPqJMyjxaj2WA21UHVntHrv0iLdRugJcA7oCDm6B/Ztx+6dm7FF+WKeVq1YgqjFc2n5fm86Nk0YO5yQ6ouve32G/xFc77z5Ml575RW88PwL6NyxE9q3bYs2rdtQnzMfVJ06dUL3F7rj7XfeMVWbkb2/ojVIIA8baAb8z5oxlenP40fBcmxhfnb+sBl7dm/HoZ/24cTxw87QibPnEH/xovkN9HvoWbHPbla/279d/vMgVA/RzAWY1X9b71E9hLaA1bbd1wNqVX628LCqMFK36GFWdZtU22pzGjlypJnLUm0Ems0kMDAQpUuXNu1Xul+a9FkWTKHChXD/A/fjOb6A11xzjTlWoWIYnml+H5546jY88eRNePLJW6h3cFt6u0d17HY8/sRtaNHqPtx/93XIX6AwSgcUQcuGYWhej2k0DEfzhuUztFEFNGtQnv4V8Eyj8niafi0bV8BjdcLgkz8/8tOqe6xuFbSqVxZP1mU4us+441NbKH79MDxRvxxaMJ1nr6mAsMAiyJGnEG6sWhrPXstz8PxPNGY6TagNyuEZxnGn0bwB4zUojdbXVUBECR9zzf1Z8Np7mVns72B/H/1m2pdMmzYNAQEBpnOMqp6s2DCJCXQVn6qU9VfnMMp/tI8c+FLNb6xOJHTtMyFlrkzMjN6bTgFm1R6Xe6n/z8uvDesOd6XwVwpj711mVY/RLRs34avPe+Klrs+jW9uO6N6+I17p3A3vv/YmvvmsJwb37ouxQ4Zj2rgJ+G78BLrjMYPPtAbDL509C0vnzTYTDWgu1g3RBNO6NRhLyH383tvo9dnHGNCH0BjYF+NHDTNwE9i0+O7s76Zi0dxZZvyd2vTW0dpUlaXd3rRuFS26NQTbNhzcpzUH9+DHPbuwz8BuG3Zs2YTNPJeqQdUm57QxfovRhG6fr3uixycfmurK995+3bRVvvxCV7zUvTNepr70fBdqZ7zywvP8CHgR7731Gv734YdmirZvvvoagwcNxLfjeZ3ffYc5s+fQUlyE1atXY9u2rea91mr1hw8SckcOIebUcZw/expxsTHQmoaJCeeRlBiHBK1pmBTHDyqnCt7cb/PcOL+L/U3cflbc2/9W+c+DUNWeKnAs/Kz+G1ef0EOo9iW5toefHk43COWnYwqTWVS9KQtYbVObN2/Ge++9hzfffNO0BTzyyCPmvgh0clVdV6xYMbOAcdGiRdGqVSv07NkT77//Pj7n17O1pAcNGmTCt+vQAolJB3Exfhvi4jci7uIm3vsdiIvbzm36Gc3YTkk9gKVLJyAoJAS31iiDIyNexoWR3XBucEecH9wJ54dY5f7QTrgwrAtih3TGOWrC6O7Y/VVLVA3Kj+K+hfDD18/T7yUe74a4QZ0Qy/CxrviKFzuUOrAdEoZ3wLlRXXBPRGkUoFU4880HcXHKC4gd1gZnBndG3NDncYHxMuJn6NlhnREz4W28/lBTc83feNYjJG6Mm1kENj1/Uvt7qDde9erVaQlnx1tvvZV+zFqN9je1hU4G0lgYCVraJtTMMbpm+IBAqH2POgWVziY3w9993BzN5P5a+asKPpuu8uh+pqW6H+oVeuTQYaxcvoKgGoMe7/8P3dq0R/OHH8fjdz+AZg88gjZPNscrHbviw9ffooX3DWZNmoyV8xdg9aKFWDFvHhbPnIF506di/jSC7bvpiJozm9bdt6ZtT+7COTMRtZDWEgG3ndbiji0bsWfHVvy0bzeOaK3BwweoB8320YP7cfSnH3Hs0AEcIvj27dphemCqI47aDUcPH4rBA2jJfSFL7h289nJ3tHuuBVo8/QRaNnsSrZ55ituP49nmT6Nd6xbo1K41wdcF77zhtFdqHKI63qgTi9JTz9A10VHYRqt257Yd2LOLkON7eOjgQZw4dtx0GtLQF3UmSoh3gJbM58lMK0fYpaZo7lF+EGtSgZQEfkBdhIaXpGlpJwIwzaxrmPExbe+7fW7c23/VM/D/Jf95EEo0fEIFl9U/u11QD4X7wbD7WT0sv9bPLfa4HkDl211AqACV2AfXLarWnD9/vukGPXfuXDzzzDO46aabzFjKG2644ZJ7IvA1atTI3Jt69erh9ddfxzwWHFq78Tt+aR7ky5YhGfn9dqLTWaZj51b0VZjt1M3UTZ7trS517x/CipUTEVQ0GPfVKEvQdQKGa6o0aWsSVjPNSFsBQ7g/5DnHHUy/Ue3x41fNULWoD4J9i+DwN+pN2gHJhBkGMHx6XOpg7bc2axCmDGjONJoB4zrhwVrlkC9bdixWr9FpzwND6T+Y59B8qJrGTecx8XlOkyfl4xlg8mv4wDOOsO/A4bwO3Y3LQajfQr+VfhepCqclS5ak3/fmzZubQsuG1W+rDxiF1e8tIJoCh8etak/K4sjpPJLisZw8Y+oUnpGV5G96zn7p+buS/N54vyS6Dt0T3QOp/UiIT4g3VchHCcNtmzZjMQE3YfhofPnxZ7QMO+Hphx7FPTffjntvuR0P3nEX2jzTHJ+++x4mjhiBpXNmmYWL10ZFYcXCBYiaR8tp5kws4vO9cc1qY71pWaWTRw+bZZbOnDiG8zGnzPJLZ08ex7nTJ3Hq2BEc/nE/LbztWL92tZmndcHc2Zg+ZRImTRiH4UMH4YsenxB4L6Ltcy3R/KnH8OSjD+L+u+/APXfchgfvuwuP3H8vnnrsEXRs+xy6dGiHV198Hj0/pSUa+Q3GjR7OtCZi/uyZWLZ4oen1umv7VgL2B2NhHj/8k1kG6tzpEwZ6F2I1uXa8mWrOVo/rPul30T3U5OzySzWdoQS8eCo/kgm8ZC3um8iPMPUcTuY2oZiSTDAynBPXgZ79jW2act1qj/3b5aoAoQYn2wL/j7YLZv7Rf2lfIj+rmcX6uY/bbbefW6yfHtbMInD169fPdHnWygUalxYeHo4KFSqk3wOr8mvdujUeffRRY+mpGmXXrl3Yvn27GVjtFp0zLi7Os5eRhxEsZJRWp87N+YJt5VdlNC2VKL40y/iSreKLt5L+9POoOZ6ykjG3Y8XyMQgpGoKHapbF+f4tCbFmSOrbgdouQyNd2zoWSVDRYtzd41mEBQfB39cPB3p0QzIBFjNMU6S1dYWXtkcK07g4oB3iNBh/QEvED+mCO6qVR94chTDntaeRNqorEvs8iWRak0kDOptzpJip3Zw0kiOdad4w8CkzC8179zhTrPUeOMLcA1vt6Gxn/DYWcBK1CdqOW6pO/umnn4y/CnobTnG0rzRMoeMBn22DNNsuZUAnHAs8dzulzYNE21bd+/9EcefV3g/dG6ta21Bu3PkLppes1hrcs3MX1q5ajXmz5mDsyNH4uteX+Oi9Dwijl2l9PYvmTz+J1q1aoHu3TnjnzdfQ4+NPMGTgQEzTjDGzaP0tXsQ0dtLSPIh9e3abBXg3bViPNavUGzUKC+fPw4zvppmFe0cOH4a+vXvjM4LrzTdfxwvdu6Frl07o1KkD2rdrgzZtWqP1sy3Rhuft3LkjXn6hO9589RV88M7b+OKzTzGoXyStxOFmmMucGd9j9vffY8mC+Vi/ejW2btyAvbt2etZE/IlAPoKzp04i9sxpo1pdQqtKJF2MQ7KZ1CDO+XAiAM3vLwjy2dF9kzr3jM9TsvycjlGy/FKp2jZrGpqFeqWyEAlTz/JP7t/APF+efYn1syqxx/7NclWAUOCzhf+f3S5oH5LMaiWrbXc4t7qP/Zy4jw/ni/Xcc8+ZWUk6duyIUqVKmba8AgUKpF+z1apVq5ru+vow6NGjh7ESVdWqGUzUKyyz6EHXC6XzyVVYue6XYOxYZxxhp84t+BLtZObWUqMZmRDUdio1ZRXd1UbTuJ2WqiWwtmNVFEEYGowHa5ZDjJZuotWXqjk/+7XL0P7tkNpPyzBJNSm2LENahJ+3RKWgIAT5+OJoj05IGf4cTg2lVRr5LON40mBc66YMIsw0GH9AC6TQ+ny0RnkUypEPC19+khZmV8Z7HGkDCT7GTdU5Ncm24nvULNM0UBMBvIq3725orvmbAcPMPeAvlv6bWFeFuN2WRR3EvKra+WUW0D/88IPx1z0U+Ox9du9LFdtCT9sZ6trXOVgQyjXbnnP+W8Veh1T3wPqZjkCefWP9xNPCSUyC1j48FxuLU6dP4cjRo9jHd33zli1YtXolZs2ZgdFjRqJnrx549fWX0LVbRz6nHdG5ayejz7/QDe998C4GDOyHPt98hU8++gAfffg+Xn31Jbz6ykt46cXu6P58V3RhnI603jp1bG+2X1Rb3euv4t133sLH//vQLKsU2ecbDB0yCBPGj8X3ao9csghrVkYTcqvww9Yt2EfYCnKnjsmiO2WWTBLo4s/HGrWAS9WwJM8STFqSiXTiO0M4CWh0STuzrRoBfv2Y3948L3zeNPeq+/7Ze+iMEdXzpWdSH896XjzbHjULApuexM5zmxHX9WxR3Mfcfv92uSpAKNGKE39Wu2DmB0CFXmbVMVXpyLUqf/twOV9sTuEnfyvad4u++gTyw4cPm+EL6lyh6stbb70Vt9xyiylg3bDTPJVq19OEzWqLGjduHJYuXYrv+fWp7tA/J/bc9rqsuPcd6yfjJdCk0AaEnQjC1L300TkIO8jqW0Ndx0iEITzK7dQ0+e/C8qjRCAwOxL3VyyBmYHtgKCFnl3Fyq/yMPkewPUsQtsPeXs1QzqxQnx9Hv2iGtKHtEa/jWv3exhvguFqaKZmgTe3bwvhp9Yl7apZGnhzZseBVLcPUiem25nGtR9jCTMlm45q1E7mtKde0ij3GdMLr9zkL80Z6VqjX72h/c/ub2vuj+RplkSv8G2+8YY5LdNwdzrqSK21fJvYQ3fRwPxP8vyC6TqsS3UPNtpPM+y8VMDXW0lajnjipdvF9WE8rT1OHzZgxA2PHjcXXX3+Nt956E893f57WW2dCjpDs0IGg62yGHmgIwuef92C4rzBw4ACMHj0a33470bxHixYuxCpajFsI3J0E3L69e80wg8Na0YHnO3s2BnFxF0zVuMbbahIAq4IVM29AZmDm2eYfXQx3M54Je8x5vlT1qet0VFXhzpeQ41i5ZFvxL1ObviI67uX/shYn3n9TrhoQasaOP6td0D4QKvzcVVmZVcdtIWldhbeFoSSrh0svlV64lStXGutN1ZvquCI3f/786dCTli9fHnfccYdp11P73+zZs018VXPKzSxZnc/6yXWrlUv3te0U+pIxY0abfHTq1IrXLBBqoVFZgx4QCnppgqFVgZAu9mD5sgwQnhvcwYBQ83saCHnWArRrEUodEPL4sA7Y/ZWzQn1IoXw48gWtOlp5WnXCLJWksCYNJx2BTWsJmvUIaemlEpp31iiFXNmzYW76wrwCJa1JszCvA0K7Wr5zfi3uS1iPaY/XPSvU9/MMn9Dvan9j/e723qhTkm2fVpugHUjvvp9u9zI1R3gsC3WLDf9flayuz+7rfrvvu+09m/Gu6bdxwqhqX1X+mjdTTQDquKR2W71rM2fOxJw5ziB9vXfqTKYwamc/dMgZUuDMxarlqM6atOy77GjGB7DE5tnkyZNHqWYKMsB25dPOteoOr6pu49owLlU6CmfPY1277Rbrn3FcH7vOvXL00jDcU7RLxPHPkIyw/x25akD4V4geUgtCPZz2obUPvbZtdWJmUUcJfbHK4tOXpaosNd9kZGQknnjiCeTNm/cS6GlbHVpk6T322GPo3r072rZta+YBVLWmqje18GZmsfmwL9WveYivdNzxVvyMF16D6zNAuIc+DghBizDNWITWEhT8HHVAuJsgHIPAkCADwtjBHX8ZhNYlyOwK9SGFCrhWqG/vAaETNz0NqpZVggHhlVeoT+3L9Pu1JAjbXRLfQlGgdUB46Qr19h5L9TxINBvHgw8+aMJp/KUKVIl+gz8iv/Tb/ZfFfe12W659tq3ad1A1MlL9Jva+65j89F4KZnLdk43rXdIHsw1jt5WeW93vlHvb7ls/5U9q/RTXHdatEhvealbh5G/DeuXPES8I/4DoodZLpgfcvmzazuoBVfWmJvtWgbhq1Soz6FUdVdS2d911ztyVVrUWXeXKlU11btmyZU2V7rBhwzBw4ECjmgDX/aLZF8y+ODY/7ny59feKc1lZg7BjJosQUDvgaqqtFv0DIBSIaA2iHwGl6slLQJgvHYTG6mN8J40MkKVpod3+jNuXIDQr1GeAcP5rDzsg1Ar1pnrUWoQOAK2bYRF2SAehtQhVVWUHs0v0cSILPleuXMZStwvrqmD1Fl5/jug+XkntcYneCwsyPft6H9xq/e27on27rXjaltp3R9sKYzXzscxqj9m8ubdtHq2/3ZbYcMY/NSO8Pe7e/rPEndqfnfY/Xbwg/A2ih0MPpvshzyx6eeQv60xWgapc1EHnySefNG17TZs2Ra1azuoF6tQiV+186uEpC+Luu+/Ga6+9hmXLlpm2vcWLF6cvx2NF+dDXrM2D29XLqePati+7jlm/3/KAZw7r7OoFzEhnzJgrgdC2EVoQWhiqalTbAuHodBBq/KADQsEnEwgJIXWUkaVnIDesHUHYzFU1+jTjdnJZhK741FSqFujNbBGaqtFXtUJ9R9P+l6Kq0X4tLrEIbX6Uh1Smf4lF6GkjTCII1WlDoh639vd9/vnnsWnTpvRCVe5vld/ye3nFuV9SvQfud8Ju6zeQa/3t+yG1x+Qv1bY9ZrdtXKv2eOZw7jSsnzt/Wak9bl3FsfuZxe1/pTC/Xi6P/8fT/HfJvxKEmX8ku5/54chq362Zxe1vXftQ62HOLPrCt3NwylU7pFazUDWnOkaok4Qgp84rZkaWQoXMLC2q5rz22mvNQHZZhP379zdWnjrEyM1q6IKqUG1hal8y+dsXTSo/+zJq2zTWe15062ev6/eIE1X3KCMddSJQoa+q0ZRUDUvZyCAEoWkjzIBfuhKCKQaEe7Bs+RgEhATivmphiB2kzjK05mT5eSBkQWbUAzcHhLaN0AehBfPjaC+CcLgHhATW5fG12rwsQo0HdEB4hweE803VqNoXtTI+0+4vEDIvJr7HMhxIEAqgV2gjtIXcvv37cPsdd5hj+vDRArYS3Xf7geSVP1f0HGalet51v63Kz71t1R3GHnO7UptW5jTdmjmtrOIozC+JO4y2f0698ufJvwqEmR8E98OV+Zj1l2Tel9h9e8ymJdcNG7eo/UCN6KriVBd4AU9LOakjxFNPPWWmJFMhaFXjxqpVq2bce++914ztmzhxoqnmXLFihXlJVEBmPo/EQs9+pUrcL1XmFyyrbRtXaoEo/b3CpPWXrtJ00hH8da0dOnp6jaZtoK86ywiG6j26htvrMjR1PdJSBMddiF4xHsGhIbinWlnEDu1GEBI8kYSVgOVWAcpsE5RyCbI9vZohLMhpIzzyOUE4uL3pGWqqRl1xTC9TVXkKZP1aEnTcHtwGd1UvhdzMt+k1OrKDGXaR2rsV4z5D6BG6sh5NOnSVBs+dIkCO7YxX76/Da86Brz0r1Eu2b9+Bli1bmnuhdTBtRyX9tvb+e2H414uef+tatWL37Xtgj7m3JXbfhnUfs/7Wz7rucO4wmfWXjiudzGG88tfLv84idD8gemjsA2gLfKn1s+r2t+DRvo5pW/7az6pXqdbh0vyb6o0pC05zcNatW9e0/cjCc4NPwxVUvanem6rqVA80dZ/XvH8HDhzwpJi12DzY/FhxX0dWasVuZ/aXWD/3scxhfo1kxHHuqWTUqJHm2jt0aM680xpMVS/R1QTeSo9yP4VwTHU0LWU9XYFwG5YvG4eQ4iVwb43KODegOy2ulkiKbInkyNbUZzOUIEsmlLSdFEkwDWuL3V+0IAgDEejng4M9CSiGiTPxn4FZyNeGp6s0kwi0+P6taO1pAeDOeLhGBeTLkRvz336ccOuKpD5PIYXhVT2aRPAl8jzJ0r5SpUEdROvw25fw2n0RvOac6DV4pLkHCxcuSq8O1erya9aoSjjjflnXPpde+f8T3X+rVjL/JnY/c7isxIbJKmxWxzKH8co/Q/61VaOCloWGhYhVHbfH5EpVjaljqmK0Iv/MolUXVL35+eefm9lAbrvtNjMbTUhIiOnE4gbfjTfeiLffftt0ZnnllVcM8FQdpupNddHOLDav9sWQ2v3M4g5jxe33S8esX2bJyu+3iOLb65AMHz7U3IuOnVrw/m4k6GgFUlNTo40KhkhdwXjLHdf4rWDMLVi0aBD8gwPwQK1yONPXmVkmIbINEvpK26armeGln+MmaED90A7Y9UUrhAUHIsDXB/t7djbVl/GDWiOR1lxCJMO54sf3eQ5J/ek/uB1ShrRD/ODueKBGReTXCvWvPwaM7oaEL59AyoCOBOFzSO5DEJq4rnwwX2nfNKP12Alv3+aMCxw6ZgwO/7QPNWsKjNnw4MMPmXZdifs3sOret9te+esk8/21996tbn8r7uNuzXzMSlZ+v0eyStcrf4/8azvLyLKz4FOhLKhpW66tgrL7ttCW6OHSmKAjR46YDidaakgzszz99NPGbdzYmUdSHVk0XEGuXT1crtaQ0yB1DWyXtahz2C7WmUXndldv6twWIvaht/pz8kvHryRXivd707Nir0sybpxTNdq1a1vuyerdSd3h0i1UDbK3qjlI5R7EihVjERDsg/vrlEHsmOeB8d2QOqIz0kZ2uVRHdaXp6WjqiC7AxBdwsF8bVA31QfHCBXAgkn7juiJNc40O74C0Edx2xU0ZRVAOp9WoFe7HdmPY1/BkrUooxHxHvf0QMP01WpkE7NgXCEWGHdnRnCeN4ZVG6kjmSecdwjx8+zY+vLcOcubKhfc/+QStWz1trv+hhx4yz5TE/sZe+fvF/Wz/1vfqSnGzSufn0v65Y175Z8q/EoRukGjbQkZi/e22ROP1ZK2pykpzcarask6dOmYCZA1RUEFmVeP0NPm01t9TVaeqQxU3KirKfO1n7shiCzwLOwtkC0CrEptfmy/39r9BlFeruk7JyJHDzX175JF7+FExFytXTsPK6ClYFT2ZOgXRK77FiuUTjevoBERHT8KWzUsxbMDn8PX3RZNyxbDw/dZY/n5LRL35KJa//cSl+tYTiH7nKax450mzvfbDZ/D9i/ejlG8BFCtcEBNfehhr//cElrzzKJa8+RBWvP0kVjCcjb/s7cfpPoKod5/G0veaYdEHLXBjeCmzmHC/Fjdi/UfNsPL1h7H0zacQRXfVO48zDs9l4j/JbeXhSSx491ks7dkNrW6uj5w58qJ8eE1kz54D9erVxfZtmlDcmQnIPo//pt/WK454f7OrU/6VnWWyEllkGrIgK08zeqgTh3pjqoPKBx98YBZAVWcW9eBUwa0B6zlz5jD7zZo1M8sM6ateUy/JYlT1psb8KT236Pwq6KSqbrXWkVzlQdsCnFUVjBYa7vzLtSC0fv8GUV51Pcq7ZPgIp2q0QL58CAn2g3+AD/wJt3TXn37GtVrEuKVKlkJY0VDkylnQrFRfJV9ulM6XB4F5cyA4X04E5811iYbkzU3NhaB83KcG5dNyUVpItyBCCuZDifw5ULpgXoTquCteUN6cRksWzIUSBXQ8N0r65IdWs8+WjXnJw32mVYxhgvPnZZycKJZf8ZzzuNMKLpAHoYXyIj+fG7UR6rrDSoeZFT4kiYlOzYB9Dq4k/6bf+2oX92/l/d3+u/KXgjDzQ+Ts0zU+Kkil8tdfRxSGeHC2zV9JxpYVQU+g0vJAmk6sx2efmarNF154Aa1atkT+/BmTTuurXWvqCYYC3z333GdWF//s009M93+lpWVyBL2sCrCE5EsH2sp172tb+baAdINQ++aaPOCw98H6yf23iM2rG4QTJ04wK9Zr+reioVq/sBjd4rzfUm7zvru1ePESCAsrg1y5BCLn9wkODkaZ0qUQUqwkQovxNypWPEstWtxxQ5R28aIIKxWG0sVqoBj9i5fguYuWpn+py+KF8ngx/vZFi4UxbGkULxaM0qWKo1SpaggpXpb7xXgNJXn+MihqwhX1xFNe3PnhMfoVL8n0ioWifLkKmPKtM4m75oK07dD29/WKV7zy75C/3CK0wJA4hQTxZ1RAdGCQbGZQZ+Gq2dataBLaTLJ3715ELYvCqtWr8eKLL6Buvbq45tpr0bhJIxaszhe61Wo1qtK/IWrVrolHH34Qc+fMMevyaY29nbvUdnUF0XImiYRbEi09umJwapLg5nS0cYNNaq/NFnzW320ZKowNJ7H+Ns6/rdDUbyqVHD78E2Zr5W8N/l+0FIuoixctw+LFUViyWBMCLKQuwpIlixhmiRlwPmzYUBQs4Ewfd92tN2PkhNGIXrkc8xlv4aIlWLh4CRZ4VNsLFy3GgkWLsHCJ/BYxHLcXz8fKxTMRNYfpL5mDZcsXYP4Chl2yLD1uehqMtzhK6SxF1BLqwhlYGTUbSxcuwNz5C7B8yQIsXbwYc3j+JVGLsIhpZ07DqK6N8RcvXYg5c7/n8xRl1nWTJHkWx5W4f1uveMUr/3z5S0Gowt9WFQksBgiphEzqRSSmxBGGTgcTD0K4kQELyfqNGxHZZzAGDxqBQQOH4vobboBfgD8tu5LIkS37JeC76Zqb0eG5Dmj22NPo1KETNm/ZgOPHj2LP7p04duywJ8UMYVEO5oT/aNURcolpSUhMTUBS/HkkJScgPjURCfRLSFEbX0aHHFvAua0iya8t+BTOrf9m+T35nzFjJm677VZjHWqFfLsu379ZMt+H/8Jv6xWvXE3yl4JQALTWUGKCliSiZ5osCQHPceO1XEmcIAQsWrESrQmx9t264+V330NEHWfdN7fmyZ3buPc+8CB69+mHT3v2xNd9IrF7jzNOLyUp1ZyLJzL7VpJ53kQtRkl/cg2JybLa6McdZwFLqdDIvPKvAaOBIy1BXQfDSnQttno0qwLQytVTEOpjQOq0Heq+WFcfCu6PhUGDBpnfTsNQ1PPWiu6V+yMjs1zi79m8YthL/mQVxu1PN6sgWYiWr8ksyoOpyPfkxexfIV9e8YpX/rnyl4JQwwosMJyVktNw8XwCdm3bix/37sPsGdPxwH334vbb7sSd99yLStWrXQK9kNAgXNf0GjRu1BCNGzakddgbixctwrz5c3Hy7GnPWX6LCMC/v6BSoW4haAv6XyP/5cLRuTYBwAGC7knmDiOafk6LBmsCgvvvv98sfaNwej5sdbPUwvD33y/F9Wya3/nSdGxeL/H3bGY+p3v/5/N0JX+veMUr/xb5S0FoO5LIVUGiwq5Hj56oWrkaqlerhhIlil4CPmmeHHmRN5vTkaLZY80wefwsDBwwEgP7D8asGXOxeOFSLItaglkzv8P06VMwc8Y0zJrzPaZNn4wpUydi6vRvMeW7SZgyfRImTZuI6bO+w7SZ32PyVB6fMhVTp0zDjOnf4fvp0/Adw0yb5uh0KdOYNmMyZsycilnfT2W4CQw3DlOnTTBti+pUYwEo/fkC8r8hv/b67L2wULN+mpJOU4/ly5fPQFDtvBJZ4/b5cGoOZEVm9K79y8STT694xStesfKXg9BWj0r27NmLylUrXgK+7LmyIVceAjB7NuTLSeV+nhwa3pANwYEBCK9QEWXLhKEMVT0SAwMCEeQXiAAffwT6BiDIPxAhAUEI9AtAAPetK/X3ZRh/HgsIRkBgIN0Q+DOs1I/p+AUEwDfA36jaHrXvF8R4PK9R+dENCPAzU6ppAL3EwtAW/v9lcV+nW62/WwQ1qRWNvaxRo4aZjOD9999PH4NpAShr0D4f1u/K8vP32cnLr7HQFe6v+c0y3w+veMUr/w75yzvLSFXAqZDYv28PwitVJwD9CL9yhF8D5Mp+DbUhcmavjZw56yBnbmqOOsiRS3M31kaObI2RM5uqTEORLXte5MhNUIblQLYG2ZEtgiCtnQvZanO7NsEaQf+aUm5Xo9LNwf1cFWhh+jAewVsqd07UKZALtfJlQ0Te7KhFrW3cHKhJ+Nag1uGxWoRzRKE8qFAwl5mBpGSp0maybcnVAsGsxF6zvX67r3tiP3gEuB49eqRPOj506FCzQodE4e2HhFTPhiBoe1260/SKV7zilb9D/lIQ2sLOFpA/HtiHalUEwnDkzjYOebOto64h7KKRI/sagnA9j60y29mM31rkzr4ReXKuRq7crxKE+ZDHJzsK9s+NnLtzIvuG7Mi+lhDcSJfb2dZkR451OZFrQ06znWtDDuTelBd5BxZB9hI5CNtseLt4QayvVQjrquXC2qp56ObFeupa6prqVPqvo//aynmwPqIgZlbJg3CCsDQt0507NX2YU5jba/uvixtMblDZ63cfl2iu1tdff93MzarJx7UmoxUb1sZ3u/ZjyapXvOIVr/xd8peCUOIu2H48cBA1q2rC4pK0Bvcje3YQdsxEDqpc5satOp4tR5oTJvsgZGfAHMGE3lJaeyD4zD/ruv/JL0NzLM+N7AGaDSQbRpTMDTTkCesx0ctU/jmBBlS5jXLhBP1KMF6ZipXNwH1JVgD4r4m9Ngs897ZU4NIHjqo2JdrX8lKamk7rLWpyA7sen/teuV23v5XM+17xile88lfLXwrCzIXdjwcOoEY1B4S5s+0xgMuZLYGwiyfoUgi6ZB5L8Si36ZctR4IHiP3N2MGcgUTbfA/kUqkpcgm/rDSFihzIvlggZDjGH1QinwFdcu1sSImg1vIo95NrZ0dirZxIqZMDCREOFH+q5QFheKX0NkKBwH1d/3a50nXI332tdlsAVPWnqjQlmpKub9++pleoliHSqh129Q0b125b163Wz+16xSte8crfJX8pCCW28JTsNyCsYECYK/tuA7ic2ZLoJhJ6adRUB3rZuJ1N22nIniM5HYTGIgwg2hYIg4KhAzpnT/uZNE3HeWRxHmQP5D6BNqREXmMRphJ6qQRgmktTCcDk2rmAOgSlAWEOHCYsSxoQVryks4y7EP8vi71G/Y66busKhBL1pH300UfNvb377rvNah4SxRMoFd4rXvGKV/7J8peDUAWiLQwdi7C8AWHubC4Q5vCAUPAzEHSBMDtBqKrSHP3oR4vQgFDYIwDTBLyfA6FcWYR5kMMDwsElCcIGOZBWh4nWyU6XmfC4abVlDebmfg5aiY5FeCQiO0oxXhgtnf+qRZhZMl+XhZ+9Zvt7arLphx9+GDly5EC7du3Sh0ZYUNrq0yvJf/keesUrXvn3yN9qETogdCxCC8JcBGG27AnpFqEDQQ8Ic2RYhNmtRaiqUVqEDuysm7FtAGn9PCDMIRCaqlEPCBvmNPDLrGm0BFNq5wHqquqUIGyQC0cIRMci/O9WjUrc1+K+Pqlg5gaa2gUXLVqEMmXKmHv67rvvGuhJ5Dq9QJMMDBXv77pPMTExJl/WKvWKV7zilV8j/+8glEWYzVU1egkIs6oavSIIs1CXRWirRi0I02pnu0xTCb/kWjmRShAm1eZJ66tq9OoAocRej9uVun9DbWsFf80VWrVqVcyePdusumCP2XGB2hYU3XH/atFMNXaZLakG8V9//fVGlWfplClTDCxtG6ZXvOIVr1y9ILRVo5fAUJZgbh7LheQIp+fo0Vq5DAjD/qMgtNdgqzF1bXK1r2Oy7GwYDY3o0KEDgoKCzCwxCxYsMP4SxXO79v7YuH+XCHQWhL+kt99+uyeWV7zilatZrnIQOjB0V40m186DtFrZnc4y9XPiWMR/G4QSXYfAJ9WajAKh1PYKlWzZsgVNmjQxPUNbt26NY8eOGX8LTwtOib03/1/3RxZgZuhlVlmL+/fv98Twile8cjWLF4RZgVBVpFcRCCVqz1O1phuGEgHvyy+/RLFixeDv74+BAweatjiJvQ8Ka0Hovif/X/dHbYQCXWb4uVXDPbziFa94ReIFYWYQ1nKBsN5/H4T2OnRNFmjalqgd7Y477jD3rXbt2mbAvBWFs+B0yz/lnnTr1s3kOytt2LChJ5RXvOIVr3hB6AWh5xoEQamVuXPn4s477zRrB3bv3h0//vij8bdjAy0wFV/b7rj/BJHV6u4449YWLVqYjjVe8YpXvCLxgvA/BsKs8pTZz+bdrXaAvKCmnqAVKlSAj48PPvnkE+OvMIKHXUNQ4SwAraswbrH7mf3/LtFk35khKEtRHX0qVaqE6OhoT0iveMUrV7N4QfgfA6EVmz+bR+sq7xZadlsgk8ja++CDD0yvUK0aISDasYACoA1rh0hYACod9+/8T5KIiAjzu0u1bS3BWbNmGYvx1Vdf9VqHXvHKVS5eEP6HQah8uq01qbYFMh2TK5Wog4l6g/r5+eGRRx4xY+2s2PgSm47UfR+k/0TRdVkQZh5or+pTVZNquSiB0Ste8crVKV4Q/sdBKCvPtutZS04qQMr//PnzWLx4Ma699lozNKJTp044ceJEehqZrzEz/LLSf5oIdrL8riTWOlQ42yPWK17xytUjXhD+h0Dozo+2Va2pvFr4CXxyrRWofQ0jUFWohkeMGjUKZ8+eNccUX3F/jfzT7kNmUe/XX6r+FAAFSwHRax16xStXl3hB+B8CocSdL1l92hbwrAVoq0U1QbYKfkHwhhtuwPfff2/CSNzhbFr/xGv9K0QdaNSRRh1qvNOwecUrV4d4QfgfA6EV5U35FNysa0XTkNWqVcssoHvPPfekLzisMFJB0Ma7GkXWoz4SfH19Tc9Tr3jFK/9t8YLwPwDCzHmx28qnbReUnDlzxlR/lipVCuHh4ejRowdOnz5tjimM1MLwagahFVmH6mmqOUn/KuvQ3avVq171qqN6L/5O8YLwXwTCK51P/sqTQCbX5k/7Np9aQPeFF14w96BGjRqX9KC0caW2HVEglFzpnFeTfPzxx6btsFevXh6fP0/0e3jFK165VP7u98ILwn8xCO2+BZdUILNqZe3atabNq3Dhwnj22WexatUq428BaK8lK/WKIzt27DBTs0m1/WeJF4Re8crl4gWhF4S/WQQzq+opKggqb8qnekDeeOONBoIvvviiGS4hUThbbao2MYWV2Gv6J13fP0lkHartUO6fIV4QesUrl4sXhF4Q/mqx55erPMkiFNisDBo0CMHBwShRogQmTZqUDjwbXsC0MMx8Lf/f1/ZPFi3fpHZDWYd/dJo2Lwi94pXLxQtCLwh/kygPyo+WTrLteqdOnTJVoBogr9UjFi5cmA5IG177Cu+2Br3y20Q9SmUd/pFp2rwg9IpXLhcvCL0gTE87s2Z1TCLLzsLshx9+QMuWLZE3b17ceuut6XlWQa3qUMWx7YmCoVWJTc8rv17Um1TW4e+dxNsLQq945XLxgvAqB6FN151+5n0rbr9z584hMjIS5cqVM0snaWiEBaQbeDbvcm1bolu98vtE1qGdxPu3TNPmBaFXvHK5eEHoBWE6vORKLMTs+TLva27QV155BTlz5kSDBg0MENX2J7GWn9KyauPZbbd65feLncT7t0zT5gWhV7xyuXhBeJWDUKJ0BTA7V6hUMLMzvkjlJ9F4QLUD5suXDx06dMDWrVuNv8Tmz51Pm2+3n1f+XPktk3h7QegVr1wuXhBeBSDMKl5mPws8qzquqkzbKUOdY8aPH4/GjRsjJCQEL730Eo4fP26OCaACp8Tm061uf6/8NeK2DjWl3ZXEC0KveOVy8YLwKgWhFZuuBZlcqwKhVFOlqfrT398f5cuXx+TJk9PzZCGofa/8/4vWdVRHmitN0/Z7X/jdXzY2cY22menxvYLs/hKNPWEbf+k8w79X7Dvwy7IbXzbWOdvgF3L394u9H7903/4y+TvuzT/4/v8K+b3vxe8VLwj/H0D4S2LTt67gJ6tQcvDg/7V3NsFRlGkcn+8EjICbEEWRfCdMEhFiBJeTXjysViknveoBy6q19IInb3rB8oAHS1GLk5ZulVVbu0B2WVkWkpl8CK6sJ7VWQLdkPXgQWEUh5Nnn/3Y/nbe/kplhMklmnh/10N1vv93v2z3V7y9PT8/Mt/Tkk0/SunXraM+ePTQ9Pe2tQ33MY4ptwFL1USkdZPFxX+Jd6QXvE+Eig93YXql3EyIsWx4qwnhUhItR6XVRKSrCZRChvZ3sZ6FAe+Do0aP02GOPmadCn332WfPBbgD5YbDFVLJBiFC2V1YG8hNPdnZY6QUvIsStcUzjx/Qx2svrUcfUr5kIVzD1dCyxqAjLQUW4DCIUZPvgfrAs8gOQ2/j4uPnVCHw+EF/vJe8VYh0EKN8QI/M32zdlaZDssFoi3HtgkUF9bK9Tb68zVREyKsIVT6XXRaWoCGssQtlGppCXiAuBfUNmAOV4AAYPwuC3AwcHB+nYsWPmfUCAbSXs/VZL1MrSU+kF74lwbOEBz7ktyutcIYZF6M8YndhNvmrutnaIQ5x+oG3/fuL7FWhv9wEesqOxb+kiKpN4oD10fAER3kyb3rn25iWC5yBwbuT8Bvoz/xq7BRaL9zP6/Ae3W+j8LyfoWy1REdZYhIJsi1uYEJl9nmSKW2n4yaRMJkMjIyN0/PhxUw7kNqj0Q0JZXVR6wduDZPyA6UoAK6JEGCE4O7z9lSDCvfYAawbXiIFYBBSM0GAcJWc3yhm4Y9rbzdlxWIQ336aI0HcuvLD/uAifG2dbq06srEvtZ1wbUeGX5UoA/aolKsJlEiHA9pAZAkJEBggguQ8//NBIEF+Y/corr/h+NQL1f/75Z1NP+iF9CS4rK5tKL3if/OIGTVdgpjgkQhkoA9kf4w2Y9v5i2pB+hPcTPxCH++CXeLieQ1x5HJHHYUvdKq9Gm157HFHHM99e+Nx45zfujwiX0vsZ3Icr0IDUZTu7vysB9KmWqAiXWIRxdaQc8oMEZZ+4Ffr666+bn03q6+vzfQZNskBM7flS+6KsPCq94P1ZYPTA6QxybllIhAsgsrBHx0VEGN5vaQNxuF9uvciR2d1nKRmaTyx+PHl7bVSnzXipBM9F9Ovlvaax7+eW089AG3I+Am2uVHD8tURFuEQijFoXLMMyHp6Qjzp8//339MQTT5hbofiIxKeffuqJUgJtS2AdpmChvigrl0oveL8IZdnOygKDZikitLMle1uwiAjDY3PMQByu6McbsBeKEgbzhY432Jcqten7wyOAs05en2gRci3nNUNEibesfgbbkGUrSvmDYplA/2qJinAJRCjldp1gmcgMWR0YGxujhx56iNavX08vvvgiffnll6Yc8sO3yGCKuhK4RSplIkNl9VHpBR8SkDtIegO/KwJvfaQYrIE3KmxpBeXhUnURBmUcGdGy8VGOCKvU5kIi9J+nOBHKPjiizlNZ/YxqI0KGJsK3x5cb9KuWqAirJEJ7XhDZ2XWlDAFwa/PIkSPmoxHo3/79+71tIEBkfZAe6qFcphCg3B6196+sLiq94MMCcgc59698M6Daf/GHxBAYFCPqLosIS623GOWIsEpt3nRGKP0wESGnsvoZ04YQlOoKyw7Rp1qiIqySCG1EVMFAfWRx8lAM5l966SVqa2uj4eFhOnnypHkIRrDf/7MDRC0rq49KL/goATllGECdTM8ngaAYFhhUZd++dTH1SxYh/2+yz9CAGyyXLDVmAC+ZuPaijq86bUo2Fz4Xwf1HScoui+t7Of1cRIQepdarLTiPtURFuAQilNuWkrGhPuZRhsDyV199Rc8//7z52i38ekSxWPS2FVECW3RxoaxeKr3gIwXkysr5tplARhEnwsAA6N2aQ9g7l/qBwbl0EVr7tipLmS1tr15QBJLFRMgtiqj25o/bX16NNr19+M69nAcOr70I+QRen7jzWno/A23EHUfM67rcoK+1REVYZRGiTASIW5syL3LD/BtvvEH4aAS+L/Tpp5+my5cvm+2wX9RDRO1bqT8qveCjB0pr0I0ZKOeFY9WNC98+JBtxYrEBe37/1mBvS8gXfhkH2/JHxC3DWKL3U/bnCEts05HUbv5DJLg9wj7G4Llx2/ad74jzZyi1n8HtF369w6/f8oI+1RIV4RKIEOsl+4PUIENw7tw5evXVV00WODQ0RAcPHqQff/zRrJNMUDJJpTGo9IKPE5CU2xmWISRCEDE4msFYBlv/ICz7NuE2XJYIDYGBPDYTietbuQT2g46KkEOdvrk2RYQHeJwItenDf25iz2HkawZK6ae/DWE+a5Uo5w+L2oG+1RIV4RKIUAJiw3t+mMdToI8++qj5aAR+pw63RpEdAsgP83b2GLVvpf6o9QWvLB3zInQLlIpREa4iEdrIMqYIu877779Pu3btoo0bN9LLL7/sfeGyZIsSkKBmhI2FirB+UBFWDxXhKhMh5IVlTEWAEBy4dOkSvfvuu+ajEfgB3XfeeceUA8jOFiG2FQnK/qUNpX5REdYPKsLqoSJcRSJEQIDBAFj3wgsvUC6Xo9HRUTp9+rQpB9je3ocdSmOhIqwfVITVoy5FiADnPRFuYRH+2xXhdRYgZBgWYSIFEc6aesnkQUolkn4Rzsk0yf+nnHk74kS4K7W4CHewCHemWITpSBHKVDI6ZHMiss8++4wef/xx89uBzzzzDJ09e9aUA9QRYUp9kWAwlPpHRagoYepShDKoL54RshQhwIUywlaWXqkZoRvJk1kWIYtSRMgZoSNBW4SJcEa4kzPCHVnaEiNCHBfmJQvE9MyZM96vhj/11FPmIxRA6tmik/MiU6XxUBEqSpjGFiELMGllhNW8NZqIuTU6ZzJBR4ZzI2maHcnRjftSdK2EW6PIAgV8NAI/l9Te3k633XYbffTRR54EUQ8fjwjKT8SoNC4qQkUJU1cilIFfMigjwqFePshoESa9bNARoSPDayERJo67AnRvjZrbopiH+MzUCiPCLCU4k8TJPSS3Rkcc+dlZoZMRZs10diTDGWFm0YdlMH/hwgXas2cPtbS00IMPPmh+S1AIPgAj5wKoBBUVoaKEqSsRAlsa5j3CoeB7hJCg9bCMFXZGmGQRJlwRpmIyQvyzl+MflnHeIzTZ4AhPEd6tURbhDp6yACHCizy/mbfrGgjfGgUffPABbd++3Xxf6GuvvUbfffedKUcdPBWKrE+eDpVzIWEvK42JilBRwtSVCO0BHyAjHM738EHeTWs5I0yz4FLpSyy5q5ztSSZoBYsww5Js4l4mk2/SLYkkZVtZbPbDMl7mJ/OuACU75HrJcc4I2zgSOXq7cw3dwHuEO3inoyzCURYgB3HMjqbp19EcXeOM8RoLkXZl6b/DLXR3MkEdff3mQ/DCDz/8QG+99RZ1dnZ63xIjxwn5QXxy/MHzAGQZU6VxUREqSpi6EyEGe0gBXLjwDeWHHBG2pFiE7KNE0xVKJVmE5slRuU3qRuoaZVK/UI57mci9Sa3JFDW3sQg/Zskh05vluI5g2c1ymPm0FXiSNE3Zf6xhgTZzu7fSwY61NHv/Gpq7N0M3RlIcSZrlzPDGjhRdH8nQL/c10a/3J+mXbWma4+nFbW20OZWgzd099MUXX5jjwNei4Quz8WKNjIzQ559/bsqvXLnivW9oi05kJ/OyrCgqQkUJU1ciRGaEQV/kcP7ceRrehlujm6k5eY5SKc4IMxzIDHH7k3tjboPKMtazLDOYb36bcryi6Y4ktYw3UY6aKMv/Z/h/51+a51OBwLuHvG66iTJ3ZiidWEN/uGsd0c61nO3liH67hugBK357C9F9Lbyes8GdPH0gQZfv30Bb+UXpzufp4sWL5qMR+Kq05uZmeu6557yPRuA45XcDRXS29GQq2OuUxkVFqChh6kqEkAJkiAB4qGTbvUN8kK3UlDpE6dQJSmePUTZ7gpfHqCl5mOOIG4cplzpMmcxRXvc3lubvKZtMU9Nv0nTr/mZqPp6hpqMZyh1J8dSJDM8jskdZimY+TeljrMsDrMk7m3k/a2lfezMdG87SXwcy9Oe+HB3ub7KimQ53NdFf+jL0p4G1NNabpD923Ur9uDXa20OHDh2ihx9+mDPZNO3bt4+uXr1qjgtT+1tiFKVUVISKEqauRChZj2RJ58+fp/6BfnOQicQmN9o57uBo42gNBMo2ctzO0UI53i6Jbddz3M6BJ0hb3anMy7LMt3NsSLAEc5RNpOkWllp7hoOnrbyvqNhoTduTLNHMGhZxynwsYtOmTfTee+95EsSXakOCCGS+kv0qSimoCBUlTF2JUG6NykMi3/7nG3rkd49Q191baKD/Turv30QDfXfRYP9dlO/roHxvN23t6TbTPGdgW3s7qI/XDeY7aYDnh3p6ue4gDXYN01DHAA1y5DsHaKiz30S+M0+DnUPu1K3XvZV6Brqof3CY7slvo96hPHXnB6irb4g6+53o6B2kzr5B6hjIU0c+T11bt9GWwe3U3b+Vujt7eZt7qLenx3xbzNjYmO+WLySP40OgHELEOkUpBRWhooSpKxFCEpCFiOKnn/5H/zz7Lzoxfoomih/TZPEUFcYnaHLyOBWLBV6eockCR3GKp1NUKEzSqcI4FaaKXDZBpyZ4vlCgTyZmaLpQpJniJM1McvDULE9O0CdTEzQzNc5TRIFmpid4+3E6weUFbmNmfIqmT/L+eD/FqSkTBd5HcYpjetLUmTx1mk7MnKEJ7kPx5N9pvPAxTUwU6Ouvv/aOC8LDMUnGCwmKFIHKUCkFFaGihKkrEUqWBCnMzbEg6kAOOB6ESBAh83aZopSCilBRwtSVCG0hmDnIAiJB1sQFEAeWUU8eNnEyKwlkWJAOz6Mc23ox/xt+v17Dtk7miQzU2ZdTR6QlYUTFXZk167EN1jsSu8710R+uZfYtWZ+9rSDz9lRCUUpFRagoYepOhMEw5eZ/Zz37xSzLbcU5V0rOegjIEaJT18kwHTE55RCelIsYne1EXhJWP/DPzM/vD72ACGdZqNKW1Jd5p0+ybXQoSjmoCBUlTF2JcDEccfgFYksHYBmy4kKzjHVBMUkdZIOmLiNlqOZW9WFvh6lX5pZLmT2vKNVmw4YN5qLX0NCYD1wXtaSmIhR5KYqiKMpKQUWoKIqiNDQqQkVRFKWhUREqiqIoDY2KUFEURWloVISKoihKQ1NTESqKoijKSkMzQkVRFKWhUREqiqIoDY2KUFEURWloVISKoihKQ6MPyyiKoigNjWaEiqIoSkOjIlQURVEaGhWhoiiK0sAQ/R/nqC+DkHebbgAAAABJRU5ErkJggg=="
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![image.PNG](attachment:image.PNG)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2 – CODAGE DES COULEURS"
   ]
  },
  {
   "attachments": {
    "rgb.PNG": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Il existe plusieurs **modes de codage des couleurs** d’une image numérique, le plus utilisé pour le maniement des images est l'espace colorimétrique **RGB** (**Red Green Blue**) ou **RVB** (**Rouge Vert Bleu**) par synthèse additive. Une image RGB est composée de la **somme des trois rayonnements lumineux** Rouge, Vert, Bleu dont les faisceaux sont superposés. A **l'intensité maximale** ils produisent une **lumière blanche**. \n",
    "\n",
    "![rgb.PNG](attachment:rgb.PNG)\n",
    "\n",
    "Dans une image au format RGB chaque pixel est composé d’un triplet de nombres entiers R, G, et B où :\n",
    "- l’entier R compris entre 0 et 255 représente le niveau de rouge ;\n",
    "- l’entier G compris entre 0 et 255 représente le niveau de vert (green en anglais) ;\n",
    "- l’entier B compris entre 0 et 255 représente le niveau de bleu."
   ]
  },
  {
   "attachments": {
    "couleursRGB.PNG": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Une couleur RGB peut donc être représenter par le **triplet (R, G, B)** ou bien dans certains cas par un **code hexadécimal : #RRVVBB** dans lequel chaque couleur est représentée par deux caractères hexadécimaux :\n",
    "\n",
    "![couleursRGB.PNG](attachment:couleursRGB.PNG)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Chacune de ces composantes R, G et B est **codée sur un octet**. Il faut donc **3 octets pour coder un pixel**. On parle aussi de **système couleur 24 bits**.\n",
    "\n",
    "Une image numérique RVB est représentée par **3 tableaux à 2 dimensions** dont la taille dépend du nombre de pixels contenus dans l’image."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "> **Exercice 1 :**<br>\n",
    ">\n",
    ">Soit une image de 800 x 600 codée en mode RGB.\n",
    ">\n",
    ">**1. Donner** le nombre maximum de couleurs possibles pour un pixel.<br>\n",
    ">**2. Déterminer** le nombre de pixels composant cette image.<br>\n",
    ">**3. Calculer** le poids mémoire de cette image en Ko."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "> **Réponses :**<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "> **Exercice 2 :**<br>\n",
    ">\n",
    ">**1. Prendre** une image avec votre téléphone portable.<br>\n",
    ">**2. Donner** le format (extension), le nombre de pixels et le poids mémoire de cette image.<br>\n",
    ">**3. Calculer** son poids théorique et comparez au poids réel.<br>\n",
    ">**4. En déduire** le taux de compression.<br>\n",
    ">**5. Réaliser** plusieurs clichés (image contrastée, surface uniforme) et comparez les poids obtenus.<br>\n",
    ">**6. Chercher** sur le web et **compléter** les caractéristiques des formats **GIF**, **PNG**, **JPEG** et **BPM**.<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "> **Réponses :**<br>\n",
    ">\n",
    ">1.\n",
    ">\n",
    ">2.\n",
    ">\n",
    ">3.\n",
    ">\n",
    ">4.\n",
    ">\n",
    ">5.\n",
    ">\n",
    ">6.\n",
    ">- **GIF**<br>\n",
    ">  **Nombre de couleurs** :<br>\n",
    ">\n",
    ">  **Description** :\n",
    "> <br>\n",
    ">- **PNG**<br>\n",
    ">  **Nombre de couleurs** :<br>\n",
    ">\n",
    ">  **Description** :\n",
    "> <br>\n",
    ">- **JPG**<br>\n",
    ">  **Nombre de couleurs** :<br>\n",
    ">\n",
    ">  **Description** :\n",
    "> <br>\n",
    ">- **BMP**<br>\n",
    ">  **Nombre de couleurs** :<br>\n",
    "> \n",
    ">  **Description** :"
   ]
  },
  {
   "attachments": {
    "modes-3.PNG": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Afin d’illustrer ce codage RGB des couleurs, vous allez construire une image dont vous pourrez faire varier à souhait la couleur. Pour cela vous allez utiliser le **module PIL** (**librairie Pillow**) qui est une bibliothèque python permettant la **manipulation des images**.\n",
    "\n",
    "La fonction `Image.new(mode, (colonne, ligne))` permet de créer un image en choisissant le **mode de codage des couleurs** et les dimensions de l’image. Parmi les différents modes on trouve :\n",
    "![modes-3.PNG](attachment:modes-3.PNG)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Le module PIL (librairie Pillow) est une bibliothèque python permettant la **manipulation des images**."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "> **Exercice 3 :**<br>\n",
    ">\n",
    ">**1. Vérifier** que le module PIL est fonctionnel en éxécutant la ligne suivante."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import PIL"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    ">**2. Editer** le code ci-dessous puis **tester** le."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "from PIL import Image\n",
    "\n",
    "def nouvelle_image():\n",
    "    colonne, ligne = 250, 150\n",
    "    image = Image.new('RGB', (colonne, ligne))      # Création d'une image RGB\n",
    "    for x in range(colonne):\n",
    "        for y in range (ligne):\n",
    "            image.putpixel((x, y), (120, 200, 90))  # Couleur pixel en (x, y)\n",
    "    image.show()                        # Affichage de l'image\n",
    "    image.save('photo1.jpeg', 'jpeg') \n",
    "nouvelle_image()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    ">**4. Donner** le nombre de pixels qui constituent cette image.<br>\n",
    ">**5. Donner** les valeurs des composantes R, G et B. **Justifier** la couleur de l’image."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "> **Réponses :**"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    ">**6. Modifier** le programme suivant afin d'obtenir une image en dégradée de rouge. **Tester** le."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "#solution dégradé de rouge sur colonne\n",
    "from PIL import Image\n",
    "\n",
    "def nouvelle_image():\n",
    "    colonne, ligne = 250, 150\n",
    "    R = 0                                          # Composante rouge initialisée à 0\n",
    "    image = Image.new('RGB', (colonne, ligne))\n",
    "    for x in range(colonne):\n",
    "        R =  R + 1                                    # On incrémente R de 1\n",
    "        for y in range(ligne):\n",
    "            image.putpixel((x, y), (R  , 0 , 0))\n",
    "    image.show()\n",
    "    image.save('photo2.jpeg', 'jpeg') \n",
    "nouvelle_image()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 5 - IMAGES NUMERIQUES EN NOIR ET BLANC"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Dans une image numérique en **noir et blanc** ou **monochrome**, chaque pixel ne possède que **deux couleur**s : noir et blanc. Chaque pixel est alors **codé sur 1 bit**.\n",
    "\n",
    "Pour obtenir une image en noir et blanc à partir d’une image RGB, il faut effectuer un **seuillage**. Pour ce faire, nous choisissons un seuil (par exemple **`127`**).\n",
    "- Si une des trois composantes dépasse la valeur du seuil, le pixel prendra la couleur blanche. Si un pixel possède par exemple le triplet **`(202, 186, 210)`**, il faut le remplacer par **`1`**.\n",
    "- Sinon le pixel prendra la couleur noire. Si un pixel possède par exemple le triplet **`(123, 74, 210)`**, il faut le remplacer par **`0`**.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "La méthode `img.getpixel((x, y))` permet de récupérer le triplet (R, G, B) du pixel `(x, y)`. La méthode `img.putpixel((x, y), couleur)` permet de modifier la couleur du pixel `(x, y)`."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "> **Exercice 4 :**<br>\n",
    ">\n",
    "> **Compléter** et **éditer** le script ci-dessous qui permet de modifier l'image `pont.jpg` (ce fichier a été attaché au Notebook) en une image en Noir et Blanc. **Tester** le."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "from PIL import Image\n",
    "\n",
    "img_RGB = Image.open('pont.jpg')\n",
    "col, lig = img_RGB.size                         # dimensions de l’image RGB \n",
    "img_NB = Image.new('1', (col, lig))        # création d'une image NB\n",
    "for x in range(col):\n",
    "    for y in range (lig):\n",
    "        R, G, B = img_RGB.getpixel((x, y))      # On récupère le triplet (R, G, B)\n",
    "        if R+G+B > 127+127+127:\n",
    "            img_NB.putpixel((x, y),1)       # On place le pixel en blanc\n",
    "        else: \n",
    "            img_NB.putpixel((x, y),0)       # On place le pixel en noir\n",
    "img_NB.save('photoNB.jpeg', 'jpeg') \n",
    "img_NB.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 6 - IMAGES NUMERIQUES EN NIVEAUX DE GRIS"
   ]
  },
  {
   "attachments": {
    "niveauxG.PNG": {
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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Dans ce type d’images la couleur est **codée sur un octet** (**256 valeurs**) :\n",
    "\n",
    "![niveauxG.PNG](attachment:niveauxG.PNG)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Pour passer d’une image couleur RGB à une image en niveau de gris, on utilise la formule : **Gris = 0,299 × R + 0,587 × G + 0,114 × B** \n",
    "\n",
    "Une image numérique en niveau de gris est représentée par 1 tableau à 2 dimensions dont la taille dépend du nombre de pixels contenus dans l’image avec la valeur de la couleur **Gris** étant un nombre entier compris entre **0 et 255**.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "> **Exercice 5 :**<br>\n",
    ">\n",
    "> **Compléter** et **éditer** le script ci-dessous qui permet de modifier l'image `pont.jpg` en une image en niveau de gris. **Tester** le."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "105.16\n",
      "126.27399999999999\n",
      "129.274\n",
      "144.904\n",
      "162.192\n",
      "111.83299999999998\n",
      "97.833\n",
      "89.833\n",
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      "78.81099999999999\n",
      "111.81099999999999\n",
      "93.039\n",
      "91.039\n",
      "122.03899999999999\n",
      "125.03899999999999\n",
      "128.039\n",
      "72.039\n",
      "66.039\n",
      "58.039\n",
      "153.039\n",
      "158.153\n",
      "158.153\n",
      "150.153\n",
      "107.153\n",
      "114.85399999999998\n",
      "126.082\n",
      "136.082\n",
      "98.08200000000001\n",
      "133.071\n",
      "125.07100000000001\n",
      "134.071\n",
      "119.071\n",
      "152.772\n",
      "151.0\n",
      "166.0\n",
      "156.99999999999997\n",
      "168.0\n",
      "159.0\n",
      "150.0\n",
      "97.0\n",
      "93.0\n",
      "96.0\n",
      "104.71199999999999\n",
      "100.71199999999999\n",
      "159.712\n",
      "164.071\n",
      "160.07099999999997\n",
      "132.071\n",
      "158.07099999999997\n",
      "158.07099999999997\n",
      "138.071\n",
      "150.07100000000003\n",
      "160.082\n",
      "112.08200000000001\n",
      "117.082\n",
      "148.071\n",
      "90.071\n",
      "90.071\n",
      "110.082\n",
      "121.854\n",
      "107.85399999999998\n",
      "117.039\n",
      "106.811\n",
      "76.18100000000001\n",
      "76.89299999999999\n",
      "119.66499999999999\n",
      "109.964\n",
      "131.85\n",
      "132.86100000000002\n",
      "123.85\n",
      "131.85\n",
      "140.84999999999997\n",
      "90.13799999999999\n",
      "125.138\n",
      "172.138\n",
      "151.66500000000002\n",
      "147.665\n",
      "110.66499999999999\n",
      "133.665\n",
      "145.66499999999996\n",
      "156.964\n",
      "156.964\n",
      "154.964\n",
      "149.975\n",
      "120.91\n",
      "104.138\n",
      "89.138\n",
      "82.66499999999999\n",
      "83.893\n",
      "132.409\n",
      "106.40899999999999\n",
      "133.05\n",
      "146.05\n",
      "154.164\n",
      "153.164\n",
      "135.164\n",
      "51.164\n",
      "54.05\n",
      "130.039\n",
      "148.039\n",
      "112.181\n"
     ]
    }
   ],
   "source": [
    "from PIL import Image\n",
    "\n",
    "img_RGB = Image.open('pont.jpg')\n",
    "col, lig = img_RGB.size                     # dimensions de l’image RGB \n",
    "img_gris = Image.new('L', (col, lig))  # création d'une image niveaux gris\n",
    "for x in range(col):\n",
    "    for y in range (lig):\n",
    "        R, G, B = img_RGB.getpixel((x, y)) \t# On récupère le triplet (R, G, B)\n",
    "        gris = 0.299*R+0.587*G+0.114*B # calcul niveau de gris\n",
    "        print(gris)\n",
    "        img_gris.putpixel((x, y), 1)        # On mofidie la couleur du pixel\n",
    "img_gris.save('photoGris.jpeg', 'jpeg') \n",
    "img_gris.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 7 - EFFET MIROIR"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "> **Exercice 6 :**<br>\n",
    ">\n",
    "> **1. Exécuter** le programme ci-dessous. **Indiquer** quelle modification a été apportée à l’image."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "from PIL import Image\n",
    "\n",
    "img = Image.open('pont.jpg')\n",
    "col, lig = img.size\n",
    "img_mod = Image.new('RGB', (col, lig)) \t      # Création image RGB\n",
    "\n",
    "for x in range (lig):                         # On va parcourir toutes les lignes\n",
    "    for y in range(col):                      # Pour chaque ligne, on va parcourir toutes les colonnes\n",
    "        pixel = img.getpixel((y, x))          # On récupère le triplet (R, G, B) \n",
    "        img_mod.putpixel((col - 1 - y, lig - 1 - x), pixel)\n",
    "img.save('photoRotation.jpeg', 'jpeg') \n",
    "img_mod.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "> **Réponse :**<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "> **2. Compléter** le programme ci-dessous permettant d'effectuer un effet miroir."
   ]
  },
  {
   "attachments": {
    "pontMiroir.jpg": {
     "image/jpeg": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![pontMiroir.jpg](attachment:pontMiroir.jpg)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "from PIL import Image\n",
    "\n",
    "img = Image.open('pont.jpg')\n",
    "col, lig = img.size\n",
    "img_mod = Image.new('RGB', (col, lig))            #création image RGB\n",
    "\n",
    "for x in range (lig):                          # On va parcourir toutes les lignes\n",
    "    for y in range(col):                       # Pour chaque ligne, on va parcourir toutes les colonnes\n",
    "        pixel = img.getpixel((y, x))           # On récupère le triplet (R, G, B) \n",
    "        img_mod.putpixel((col - 1 -y, x), pixel)  # On modifie le pixel\n",
    "img.save('photoMiroir.jpeg', 'jpeg') \n",
    "img_mod.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 8 - METADONNEES EXIF"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Un fichier \"image\" issu d'un appareil photo numérique contient plus qu'une simple image. On trouve en effet des informations sur l'image elle-même (définition, résolution...) mais aussi des informations sur la prise de vue (date et heure, lieu...). Cette spécification des fichiers \"image\" d'un appareil photo numérique s'appelle **EXIF (EXchangeable Image file Format)**. Ces données contenues dans un fichier \"image\" d'un appareil photo s'appellent des **métadonnées**.\n",
    "\n",
    "La plupart des logiciels de retouche photo permettent de lire ces métadonnées. Nous n'allons pas utiliser ce type de logiciel, nous allons plutôt écrire un petit programme Python (plus précisément, nous utiliserons la bibliothèque Python \"PIL\")."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "> **Exercice 7 :**<br>\n",
    ">\n",
    "> **1. Exécuter** le programme ci-dessous :"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{36864: b'0210',\n",
       " 37121: b'\\x01\\x02\\x03\\x00',\n",
       " 37377: (298973, 10000),\n",
       " 36867: '2019:06:02 13:46:53',\n",
       " 36868: '2019:06:02 13:46:53',\n",
       " 37378: (227, 100),\n",
       " 37379: (0, 1),\n",
       " 37380: (0, 10),\n",
       " 37383: 5,\n",
       " 37384: 1,\n",
       " 37385: 24,\n",
       " 37386: (3460, 1000),\n",
       " 40961: 1,\n",
       " 40962: 3120,\n",
       " 40965: 986,\n",
       " 41990: 0,\n",
       " 37520: '779056',\n",
       " 37521: '779056',\n",
       " 37522: '779056',\n",
       " 40963: 4160,\n",
       " 41995: b'ipp\\x00',\n",
       " 41996: 0,\n",
       " 257: 4160,\n",
       " 41495: 2,\n",
       " 258: (8, 8, 8),\n",
       " 41728: b'\\x03',\n",
       " 33434: (691000, 1000000000),\n",
       " 531: 1,\n",
       " 282: (96, 1),\n",
       " 33437: (220, 100),\n",
       " 41729: b'\\x01',\n",
       " 59933: 0,\n",
       " 283: (96, 1),\n",
       " 34850: 2,\n",
       " 34853: {0: b'\\x02\\x02\\x00\\x00',\n",
       "  1: 'N',\n",
       "  2: ((45, 1), (33, 1), (18330688, 1000000)),\n",
       "  3: 'W',\n",
       "  4: ((0, 1), (57, 1), (23080258, 1000000)),\n",
       "  5: b'\\x01',\n",
       "  6: (0, 100),\n",
       "  7: ((11, 1), (46, 1), (53, 1)),\n",
       "  27: b'UNICODE\\x00\\x00C\\x00E\\x00L\\x00L\\x00I\\x00D',\n",
       "  29: '2019:06:02'},\n",
       " 41985: 1,\n",
       " 34855: 50,\n",
       " 296: 2,\n",
       " 41986: 0,\n",
       " 40960: b'0100',\n",
       " 256: 3120,\n",
       " 41987: 0,\n",
       " 305: 'paint.net 4.1.6',\n",
       " 306: '2019:06:02 13:46:53',\n",
       " 41988: (100, 100),\n",
       " 41989: 26,\n",
       " 41991: 0,\n",
       " 41992: 0,\n",
       " 41993: 0,\n",
       " 270: 'dav',\n",
       " 41994: 0,\n",
       " 271: 'HUAWEI',\n",
       " 272: 'LLD-L31',\n",
       " 34665: 268,\n",
       " 37500: b'####\\n\\x00\\x00\\x00\\x1a\\xc73\\x01\\x00\\x04\\x01\\x00\\x00\\x00\\x00\\x00\\x00\\x00\\x00\\x00\\x00\\x00\\x00\\x00\\x00\\x00\\x00\\x002\\x00\\x00\\x00\\xff\\xff\\xff\\xff\\xff\\xff\\xff\\xff\\xff\\xff\\xff\\xff\\xff\\xff\\xff\\xff\\xff\\xff\\xff\\xff\\xff\\xff\\xff\\xff\\xff\\xff\\xff\\xff\\xff\\xff\\xff\\xff\\xff\\xff\\xff\\xff\\xff\\xff\\xff\\xff\\xff\\xff\\xff\\xff\\xff\\xff\\xff\\xff\\xff\\xff\\xff\\xff\\xff\\xff\\xff\\xff\\xff\\xff\\xff\\xff\\xff\\xff\\xff\\xff'}"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import PIL.Image\n",
    "img = PIL.Image.open('lieumystere.jpg')\n",
    "exif_data = img._getexif()\n",
    "exif_data"
   ]
  },
  {
   "attachments": {
    "Exif-3.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Comme vous pouvez le constater, nous avons un système clé:valeur (à chaque clé correspond une valeur). Les clés sont \"codées\" par des nombres, pour comprendre la signification de ces nombres, consultez le site http://www.exiv2.org/tags.html.\n",
    "![Exif-3.png](attachment:Exif-3.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "> **2.**\tEn vous aidant du site web cité ci-dessus, **donner** les informations suivantes pour l'image `lieumystere.jpg` :\n",
    "> - la largeur de l'image en pixel\n",
    "> - la hauteur de l'image en pixel\n",
    "> - le fabricant du matériel\n",
    "> - la date et l'heure de la prise de vue"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "> **Réponses :**"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>"
   ]
  },
  {
   "attachments": {
    "exif_GPS-2.PNG": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**La clé \"34853\"** n'est pas tout le temps présente puisqu'il s'agit des coordonnées (latitude, longitude) de la prise de vue, il faut donc que l'appareil photo intègre un GPS (ce qui est le cas des smartphones).\n",
    "![exif_GPS-2.PNG](attachment:exif_GPS-2.PNG)\n",
    "\n",
    "**Les lignes 1, 2, 3 et 4 vont particulièrement nous intéresser :**\n",
    "\n",
    "- Ligne 1 : Précise que nous sommes dans l'hémisphère Nord\n",
    "- Ligne 2 : Nous avons la latitude (45.0, 33.0, 18.330688) exprimée ici en latitude en degrés, minute, seconde\n",
    "- Ligne 3 : Précise que nous sommes à l'ouest (W) du méridien de Greenwich\n",
    "- Ligne 4 : Nous avons la longitude (0.0, 57.0, 23.080258) exprimée ici en degrés, minute, seconde\n",
    "\n",
    "Pour convertir des \"degrés, minute, seconde\" aussi noté DMS en \"degrés décimaux\" (DD) qui est l'unité qui est utilisée en \"cartographie\", il faut appliquer la formule suivante :"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "DD = degres+(minute/60)+(seconde/3600)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "> **3. Determiner** les coordonnées DD du lieu où a été prise la phto mystère."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "Lattitude =\n",
    "Lattitude"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "Longitude =\n",
    "Longitude"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**ATTENTION : pour que la conversion soit correcte, il faut ajouter un signe moins devant la longitude au format DD si nous\n",
    "sommes situés à l'ouest du méridien de Greenwich. De même la lattitude est négative dans l'hémisphère sud.**"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "> **4. Tester** les lignes de code suivantes qui permettent d'afficher les coordonnées GPS du lycée Gustave Eiffel sur une carte. La carte est enregistrée dans le fichier `maCarte.html`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "#Exemple\n",
    "import folium\n",
    "#Affiche une carte \n",
    "maps = folium.Map(location=[44.82910801, -0.56478487], zoom_start = 17)\n",
    "#Affiche un marqueur\n",
    "folium.Marker([44.82910801, -0.56478487]).add_to(maps)\n",
    "\n",
    "maps.save('maCarte.html') #permet de générer la page HTML\n",
    "maps"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    ">**5. Compléter** le programme ci-dessous afin d'afficher sur une carte l'emplacement du lieu où a été prise la photo mystère."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "import folium\n",
    "#Affiche une carte \n",
    "maps = folium.Map(location = [..........................., ...........................], zoom_start = 17)     \n",
    "#Affiche un marqueur\n",
    "folium.Marker([..........................., ...........................]).add_to(maps)\n",
    "\n",
    "#permet de générer la page HTML\n",
    "maps.save('CartePhotoMystere.html')\n",
    "maps"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    ">**6. Indiquer** où se trouve le lieu de la photo mystère."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "> **Réponse :**"
   ]
  }
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