{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# UD02 · Notebook 1 — Lógica difusa: el problema de la propina\n", "\n", "**Objetivo**: ver resueltas, de principio a fin, las tres fases de un sistema de inferencia\n", "difuso (FIS, §7.4) — **fuzzificación**, **evaluación de reglas** y **desfuzzificación** — sobre\n", "el ejemplo clásico de la propina (§7.6).\n", "\n", "Es un notebook **guiado**: está ya resuelto y explicado. **No se entrega ni se puntúa** — ábrelo\n", "para repasar el ejemplo antes de hacer `N02` (control difuso) y `N03` (sistema de reglas), o\n", "antes de la prueba escrita del RA2." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Antes de empezar\n", "\n", "```bash\n", "docker compose up -d # si usas el contenedor del curso\n", "pip install scikit-fuzzy==0.5.0\n", "```\n", "\n", "`scikit-fuzzy` es una librería **semi-mantenida** (última versión 2024): para que este notebook\n", "reproduzca los resultados, fija la versión `0.5.0`." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Fase 1 — Variables de entrada (fuzzificación)\n", "\n", "El problema: la propina depende de la **calidad de la comida** (0-10) y del **servicio** (0-10).\n", "Las dos se parten en 3 funciones de pertenencia triangulares con `automf(3, ...)`, que reparte el\n", "universo en tres curvas solapadas con nombres propios — la forma más rápida de fuzzificar una\n", "variable cuando no hace falta una forma a medida (compara con la lectura manual de §7.2)." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "image/png": 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4QmQeTYPNQ8FgBR3mZc+hr/9V5/+7W68foHe7FiKb0jSNyUf02V4+dXzMcujrH1IAZRFrKwNzengRFp3AtK2XVMcRIvOc+xMCNkPH+ZAjj+o0WcPKWu9uHROqd7sWIpvafGMzewL3MK7OOHI55FId57VIAZSFiuXOwZh25Vlx7A4HroSqjiOE8UUGwdavoMpbUKGj6jRZK1dJvcv1yWV612shspl7MfeYfmw6HUp2oHmx5qrjvDYpgLLYu7WL0aB0HkauPUdkrKwlJLIRTYONQ8DOCdpaaG+cNz6Bkk30rtdx0gVeZB+apjHh8AQcbRwZVWuU6jhGIQVQFrOyMjCzexUexyUxefNF1XGEMJ7Tv8L13dBpITi6q06jhpUVdFoE8dGwbbTqNEIYzdqrazkUfIgJ9SbgZu+mOo5RSAGkQOGcjozt6MmaU3fZefG+6jhCvL5Ht2G7N1T/AMq0VJ1GrZweetfrsyvg8t+q0wjx2oIeBzH7xGy6lelGwyINVccxGimAFOlRowjNy+dj9F/neRSToDqOEBmXkgIbBoFjLmg1VXUa01D1XSjbBjZ+pnfDFsJMpWgpjD00lpz2ORnxxgjVcYxKCiBFDAYD09+sTGJyCmM3+KuOI0TGHf8ebh2ELovBwVV1GtNgMEDHBZCcoHfDFsJM/SfgP5y4d4LJ9SfjbOesOo5RSQGkUD5XByZ1rsjmcyFsPhesOo4Q6Rd2DXZNgFr9oEQj1WlMi0sBvQu2/1q9K7YQZuZW5C3mn5rPO+XfoVbBWqrjGJ0UQIp18ipEu8oFGLven9DoeNVxhEi7lGS98Z9rQWgxXnUa01SpG3h21rtiP36gOo0QaZackozPIR/yOeXj8+qfq46TKaQAUsxgMDC5cyWsDAZG/3UeTdNURxIibQ4vhKCT0GUp2OVQncY0GQzQ/mu9K/amL/RWAUKYgV8v/sr5sPNMbTAVJ1sn1XEyhRRAJiC3sz3T3qzMrkv3+et0kOo4Qrza/YuwdyrUHQxFa6tOY9py5NHvB7q8Re+SLYSJu/roKovOLOJDzw+pmq+q6jiZRgogE9G6YgG6VivMhE0XCImMVR1HiBdLToT1/fXOx029VacxDxU66N2xt36ld8sWwkQlpiTi7etNUZeiDKo2SHWcTCUFkAmZ0LEiTnbWjFwrQ2HChB2cC/f8oetSsHVQncZ8tJ2pd8neOESGwoTJ+vHcj1x5dIWpDadib22vOk6mkgLIhLg52TKzWxUOXAnlP8cDVccR4lnBZ+HAbGg0AgpVU53GvDi6612ir++GU7+oTiPEMy4+vMj3577n0yqfUjF3RdVxMp0UQCamSbl8vF3Lg6lbLhIY/kR1HCH+Kyke1vWHfBWgofS2yZAyLaD6h7DDBx7dUp1GiFQJyQl4+3pT2r00fSv3VR0nS0gBZIK823uS08mOEav9SEmRS+XCROybDg+vQdfvwMZOdRrz1Xqq3jV7/SC9i7YQJuDbs99yK+oWUxtMxdbaVnWcLCEFkAlytrdhdo8qHLsZzq9HbqmOIwQEnoBDC6DpaMif/S+NZyp7F71r9m1fvYu2EIr5hfrx84WfGVR1EGXdy6qOk2WkADJR9UrloXe94szcFsCN0Meq4whLlvBEn/VVqDrUy54N0bJciUZ69+xdE/Ru2kIoEpsUi4+vDxVzV6R3xd6q42QpKYBM2Mg25Sno5sjw1X4ky1CYUGXPZIi8q8/6srZRnSb7aDEBXAvpxWVKsuo0wkJ9c/obQmJCmNJgCjZWlnV+SwFkwhztrJnTowp+gRF8f+CG6jjCEt3yhaPfQvPxkKeM6jTZi50TdFkCQafg8Deq0wgLdOLeCZZfWs5n1T6jpFtJ1XGynBRAJq5GsVx82qgk83Ze4fK9aNVxhCWJj4b1A6FYfajdX3Wa7Klobag3BPZO07trC5FFYhJjGHtoLDXy1+A9z/dUx1FCCiAzMLRFWYrldmLYqrMkJsusEZFFdoyFmDDovBis5FdFpmkyRu+qva6f3mVbiCww9+RcwuPCmVx/MlYGyzy/LfOnNjMOttZ83bMqAfeiWbxXbpgUWeDaLjj1M7SaDLlKqE6Tvdk66PdX3b+gd9kWIpMdCjrE6iurGfHGCDxcPFTHUUZ5AbRw4UJKlSqFs7MzdevW5ciRIy99/aNHj+jfvz9FixbFxcWFihUrsnDhwixKq07lIm4MalqaRXuu4R8UqTqOyM5iI2DDECjZFN74WHUay1Comt5d+8Bsvdu2EJkkKiGKcYfHUbdgXXqU7aE6jlJKC6Cff/6ZkSNHMnfuXK5fv069evVo1aoVgYEvXgaib9++HDhwgC1bthAcHMyECRMYPnw4K1euzMLkagxuWppyBVwYtuos8Ukya0Rkkm2jIeExdF4EBoPqNJaj4QjI56l3206KV51GZFMzj8/kSeITJtWfhMHCz2+lBdDs2bP5+OOP6dKlC/nz52fOnDm4urqyZMmSF25z8uRJevbsSeXKlXFxcaFHjx5UqFCBEydOZGFyNexsrJjb04ubYTHM23lVdRyRHQVsBb+V0GYGuBVRncay2NjpQ2EPr+k3RQthZHvv7GXj9Y2MrDWSAjkKqI6jnLIC6NGjR1y6dImmTZumPmYwGGjatCmHDx9+4XY9e/Zk3bp1XL9+naSkJLZu3cqNGzd48803syK2cuULuDK0ZVm+P3CdU7cfqY4jspOYh7DpcyjbFqq+ozqNZcpfEZqO0afFBx5XnUZkI4/iHjHxyESaFGlC51KdVccxCcoKoJCQEADy5cv31ON58+bl3r17L9xu2rRpeHp6Urp0aWxtbenatSuLFi2iYcOGL9wmPj6eqKiop77MWd+GJalSJCcjVvsRmyBDYcJItg6HlETouECGvlSq95nedXtdf70LtxBGMPXYVJK0JMbXG2/xQ1//UH4T9P+ysrJC017c9fijjz7C39+f06dPExkZyYoVKxgwYAB//fXXC7eZPn06bm5uqV8eHuZ917uNtT4UFhwRy6ztAarjiOzAfy1cWAft5oBLftVpLJu1jT4UFhUEuyepTiOygW03t7H91na8a3uTxzGP6jgmQ1kBVKCAPv4YGhr61OMPHjwgf/7n/wIOCwvj999/Z8KECVSrVg1XV1e6d+/Om2++ybx58154rNGjRxMZGZn69bKbrM1FqbzOfNWmPD8fusWR6w9VxxHmLPo+bBkOnl2gcnfVaQToXbebj4djS+DmQdVphBkLiw1jyrEptCrWirYl2qqOY1KUFUC5cuWibNmy7N+/P/UxTdPYt28f9erVe+42Vv/fjO1/L99ZWVlhbW39wmPZ29vj6ur61Fd28FG94tQukYsv1/jxOD5JdRxhjjQNNn8BVjbQ/mvVacS/1e4PxRrAhoF6V24h0knTNCYemYi1wRqfOj6q45gcpUNgw4cPZ9myZWzfvp3IyEh8fHwIDw+nf///tt3v168fVatWBfSiqVGjRkyePJmAgAASEhLYvHkzq1evpkuXLmp+CIWsrAzM7u5FeEwCU7dcUh1HmCO//8Dlrfp9Pzlyq04j/s3KSm9FEPMQdsgfL5F+G69vZF/gPsbXHY+7g7vqOCZH6dKvffv2JSIigo8++ogHDx5QqVIltm7dSvHixVNfk5ycTFLSf69u/Pnnn4wcOZImTZoQHh5O0aJFmTBhAp9//rmCn0C9ormd8G5fAe91/rSpVIDGZfOqjiTMReRd+HsUeL0N5durTiOeJ1cJaD0FNg+FCh2hdAvViYSZuBdzj5nHZ9KpVCeaFW2mOo5JMmgvu+PYBKSkpKBp2kuHuNIrKioKNzc3IiMjs8VwmKZpfPDTca7ef8z2oY1wc7RVHUmYOk2D5W/CgwAYeAQcc6pOJF5E3iuRTpqm0X9Xf65FXGNd53W42pn/37nMYHKzwP7Xq+7vEfo9UTO7VSEmIYmJmy6ojiPMwamf4foe6LxQ/qCaOoMBOi2EhBjYNkp1GmEGVl9ZzeHgw0yqN0mKn5cw+QJIpE2hnI6M71iRv04HsePCi/soCUH4TdjuAzV6y5CKuXArAm1n6PdsBWxRnUaYsMDoQOacnEP3st2pX7i+6jgmTQqgbKRb9cK0qJCfMevOEx6ToDqOMEUpKbBhkH7Dc6spqtOI9PB6G8q107t1x0jrC/GsFC2FsYfGksshFyPeGKE6jsmTAigbMRgMTHuzEkkpGmPX+6uOI0zRsaVw+xB0/hbsXVSnEelhMECH+ZCSBFuGqU4jTNCKSys4df8Uk+tPJodtDtVxTJ4UQNlMPhcHpnSpxJbzIWzyC1YdR5iSsKuweyLUHgAlXrx0jDBhLvn1fk0X1+vdu4X4fzcjb7Lg9ALeq/AeNQvUVB3HLEgBlA11qFKI9lUKMnaDPw+i41THEaYgOUlfW8q1MDQfpzqNeB2V3oSKXfXu3dH3VacRJiApJQkfXx8K5CjAZ9U/Ux3HbEgBlE1N7lwJGysrRq89/9K11YSFOPwNBJ/W15iyc1KdRryudnPByhY2faZPkxcW7ZcLv+D/0J8p9afgaOOoOo7ZkAIom8qVw47pb1Zmd8AD1py6qzqOUOn+Bdg7TV9l3KOW6jTCGHLk1rt3X9kGZ1eqTiMUuvLoCovPLqZ3xd5UzVdVdRyzIgVQNtbSMz/dqhdh0qaLBEfEqo4jVEhK0Ie+cpeGpmNUpxHGVL4deL2j9waKlA85ligxOREfXx+KuxZnUNVBquOYHSmAsrlxHT3JYW/DyLXnZCjMEh2cAw8u6kNfNvaq0whjazMd7Jxhw2AZCrNA35//nquPrjK1wVTsrO1UxzE7UgBlc26OtszqXoWDV8NYceyO6jgiKwWfgQNzoNGXUKiq6jQiMzjm1BdMvbEXTv6kOo3IQhceXuCHcz/Qt0pfPHN7qo5jlqQAsgCNyublndpFmbb1EncePlEdR2SFxDh96KtAJWg4XHUakZlKN4caH8GOsXqXb5HtxSfH433Qm7LuZelTpY/qOGZLCiALMaZdBXI72zFitR8pKXKpPNvbNw3Cb0CXpWAti+Nme60mQ448sH6g3u1bZGuLzy7mTvQdpjaYiq2VnN8ZJQWQhXC2t2F2dy+O3wrnp0PyKTFbu3MMDn2j3/ScXy6NWwR7F+jyLdw5DMeWqE4jMtHZB2f5xf8XBlUdRBn3MqrjmDUpgCxInZK5+bh+CWZvv8y1B49VxxGZISEG1veHIm/o096F5SjeAOoMhN2TIPSK6jQiEzxJfIK3rzeV81amd8XequOYPSmALMxXbcpROKcjw1f7kZQsl8qznV0TISpEH/qysladRmS15uP0lePX99e7f4tsZcHpBTx48oCp9adiLef3a5MCyMI42Fozp6cX5+9G8N2BG6rjCGO6eQCOfwctJkCe0qrTCBVsHfXiN/gMHF6gOo0wouMhx1kZsJIvanxBcbfiquNkC1IAWaDqRd3p17gU83dd4VJIlOo4whjiomD9ICjeEGr1VZ1GqORRE+p/Dnunwz1/1WmEETxOeMzYQ2OpWaAmb5d/W3WcbEMKIAv1RYsylMzjzPBVfiQkyVCY2dvhA7Hhek8YKzmtLV6T0ZCnjD4UlpSgOo14TXNOziEiPoJJ9SZhZZDz21jk/0kLZW9jzdyeXly5H82iPVdVxxGv4+pOOP0rtJoC7sVVpxGmwMZe7/794BIcmK06jXgNB+8eZO3VtYyoOYIiLkVUx8lWpACyYJUKuzGkWRkW77vOubsRquOIjIh9BBuHQKnmUKO36jTClBT0gkZfwcG5EHRadRqRAZHxkUw4PIH6herTvUx31XGyHSmALNzApqXwLOjKsFV+xCUmq44j0uvvkZDwBDotBINBdRphahoOgwKV9a7giXGq04h0mnF8BrFJsUyoNwGDnN9GJwWQhbO1tmJuTy/uPHzCvJ3SO8SsXNoE5/6EdrPArbDqNMIUWdvqQ2GPbsLeqarTiHTYfXs3m29sZnTt0RTIUUB1nGxJCiBB2fwuDGtVlu8P3uDkrXDVcURaxITBpi+gXHuo8pbqNMKU5asATb3h8EK4c1R1GpEG4XHhTDo6iaYeTelQsoPqONmWFEACgE8blqSaR05GrPbjSYI0UDNpmgabh4KWAh3ny9CXeLV6Q6BITVg/QO8WLkyWpmlMOTqFFC2FcXXHydBXJpICSABgbWVgbs+q3IuKY+bfAarjiJfxXwuXNkKHr8E5n+o0whxYWetDYVEhsGuC6jTiJf6++Tc7b+/Ep44PeRzzqI6TrUkBJFKVyJODkW3K8+uR2xy+FqY6jnie6HuwZThU6gYVu6pOI8xJ7lJ6l/Dj38ON/arTiOcIfRLK1GNTaVu8La2Lt1YdJ9uTAkg85cO6xalTMhdfrjlHdFyi6jji3zQNNn6m93hpN0d1GmGOavXVu4VvGKR3DxcmQ9M0JhyZgJ21HWNqj1EdxyJIASSeYmVlYHZ3LyKeJDB1yyXVccS/nV0BV7dDxwXglEt1GmGOrKyg82K9f9QOb9VpxL+sv7aeA3cPML7ueHI65FQdxyJIASSe4ZHLCZ8OnvxxIpC9AQ9UxxEAEYHw9yio+i6Ua6s6jTBn7sWg9VQ4/Rtc2aE6jQBCHocw88RMOpfqTBOPJqrjWAwpgMRz9arpQeOyeRm59hwRT2QtIaVSUmDjYHBwgzbTVacR2UH1D6F0C72L+BNpfaFSipbCuMPjcLFzYWStkarjWBQpgMRzGQwGZnarQlxiMhM2XlAdx7KdXAY39kHnhXoRJMTrMhj07uFJsXo3caHMqsurOBpylIn1JuJi56I6jkWRAki8UAE3ByZ0qsj6s8Fs8w9RHccyhd+AnePgjU+gVDPVaUR24loI2s6C86vg4kbVaSxSYFQgX5/6mrfKvUW9QvVUx7E4UgCJl+parTCtPPPjvc6fh4/jVcexLCnJsH6g3uun5STVaUR2VOUtKN9Bb6wZI60vslJySjI+h3zI7ZCbYTWGqY5jkaQAEi9lMBiY2rUyKZqG9zp/NE1THclyHF2iL13Q+Vuwd1adRmRHBgN0mKd3Fd/8hd5qQWSJ5ZeWc+bBGSbXn4yTrZPqOBZJCiDxSnld7JnatTLbLtxjo1+w6jiWIfQy7J4EdQZC8fqq04jszDmfXgRd2gTn16hOYxFuRNzgm9Pf8J7ne7xR4A3VcSyWFEAiTdpVLkhHr0KM23CB+1FxquNkb8lJsK4/5CwKzceqTiMsQcUuenfxrSP05TJEpklKScLb15tCzoX4rNpnquNYNCmARJpN6lQROxsrRq09J0NhmenQPAg5q6/dZOuoOo2wFO3m6F3GN30mQ2GZ6Cf/n7gYfpGpDabiYOOgOo5FkwJIpJl7DjtmvFmZvZdDWX3yruo42dO987BvJjQYCkXk0rjIQk65oOM3cHUHnFmuOk22dDn8Mkv8lvBJpU+okreK6jgWTwogkS7NK+SnR40iTNp8kbuPnqiOk70kJehDX3nKQmPpzSIUKNcGqr4H20ZDxB3VabKVxORExviOoYRbCfp79VcdRyAFkMiAsR09cXWw4as150hJkUvlRnNgFoQG6ENfNvaq0whL1Waa3nBzwyC9C7kwiqXnlnIj4gbTGkzDztpOdRyBFEAiA1wdbJnV3YvD1x+y/Nht1XGyh6BTcPBr/cpPQbk0LhRycIPOi+DmAb0LuXht/mH+LDu/jH5e/Sifq7zqOOL/SQEkMqRBmTy8V6co07cGcCssRnUc85YYC+sG6IVPg6Gq0wgBpZrq3cd3joOH11WnMWtxSXF4+3pTPld5Pqn8ieo44l+kABIZNrptBfK62DNitR/JMhSWcXumwKNb0GUpWNuqTiOEruUkvUfQ+oF6V3KRIYvOLOJu9F2mNpiKrZWc36ZECiCRYTnsbZjTw4tTdx7xk+9N1XHM0+0jcGQxNPOBfHJpXJgQe2fosgQCj8HRb1WnMUun75/mt4u/MaTaEErlLKU6jvgfUgCJ11KrRC4+qV+C2Tsuc/V+tOo45iUhBtYPAI/aUHeQ6jRCPKtYPf3f5u7J8CBAdRqz8iTxCT6HfKiaryrve76vOo54DimAxGsb0bocHu6ODF/tR1KyzBpJs53j4fF96PItWFmrTiPE8zXzAfdisL6/3qVcpMm8U/MIiw1jSv0pWMv5bZKkABKvzcHWmrk9q+IfFMmSfXLDZJrc2AcnfoAWEyG3XBoXJszWUb8/LcQPfOepTmMWjoYc5Y/Lf/BF9S8o6lpUdRzxAlIACaOo6pGTAU1K8c2eq1wIjlQdx7TFRcKGwVCiEdTsozqNEK9WpIY+Q3H/TAg5pzqNSYtOiGbcoXHULlCbXuV7qY4jXkIKIGE0nzUvQ6m8zgxf5UdCkgyFvdD2MRAbAZ0Xg5WcgsJMNB4Jecvp960lJahOY7Jmn5hNVEIUk+pPwsog57cpk3dHGI29jTVze3px7cFjvtl9VXUc03Rlu77OUptp+mrvQpgLG3t9VlhogH4lSDzjwN0DrLu2jq9qfkUh50Kq44hXkAJIGFXFQm583rwM3+67xtnACNVxTMuTcNg4BMq0gmoyK0SYoYJVoPEo8P0a7p5SncakRMZHMv7weBoWbkjX0l1VxxFpIAWQMLoBTUpRqbAbw1edJS5RGqil+vsrSIrXV9w2GFSnESJjGgyFgl76rLDEWNVpTMa0Y9NISE5gQr0JGOT8NgtSAAmjs7G2Ym4PLwIfxTJn+2XVcUzDxQ1wfjW0mw2uBVWnESLjrG30WWGPbutdzAU7b+9k682tjK49mnxO+VTHEWkkBZDIFGXyuzCiVVmWHbrJ8ZvhquOo9TgUNg+FCh2hcg/VaYR4ffnK6/2BjiyG24dVp1HqYexDJh+ZTIuiLWhfor3qOCIdpAASmeaTBiWpUdSdEav9iIm30AZqmgabv9D/u/08GfoS2UfdQXoX8/UDIP6x6jRKaJrG5KOTAfCp4yNDX2ZGCiCRaaytDMzp4UVodDwz/rbQNvrnV0PAZugwH5zzqk4jhPFYWetdzB8/gF3jVadRYsvNLey+s5txdceR2zG36jginaQAEpmqeJ4cjG5Xnt+P3sb3apjqOFkrKhi2jtCHvTw7qU4jhPHlLqWvGn/iR7i+V3WaLHU/5j7Tjk2jXYl2tCjWQnUckQEGTdO0jG585swZLl26BICnpydVq1Y1Vq5MFRUVhZubG5GRkbi6uqqOk+2lpGi8t+wYt8Ji2Da0Ea4OtqojZT5NgxU94N55GHgEnHKpTiRE5khJgd87w8MbMPAwOLipTpTpNE1j4O6BXA6/zLrO63Czz/4/c3aUoStAwcHBNGnShOrVq9OvXz/69+9PtWrVaNasGSEhIcbOKMyclZWBWd2rEBWXxORNF1XHyRqnf4NrO6HTQil+RPZmZaV3NY+LhG1jVKfJEn9d/QvfIF8m1JsgxY8Zy1AB1KdPHzRN49KlS0RHRxMVFcWlS5dISkri008/NXZGkQ0UcXdibIcKrD51l92X7quOk7ke3daXu6j2PpRtpTqNEJkvZ1G9u/nZ5XB5m+o0mSrocRCzTszizTJv0qhII9VxxGvI0BCYo6MjAQEBFCtW7KnHb926haenJ0+ePDFawMwgQ2BqaJrGx7+cwD84ih1fNMI9h53qSMaXkgK/dYJHt2DAYXCQf1/CQmgarOyprxo/8Gi2vPKZoqXw6Y5PCYwO5K9Of+Fs56w6kngNGboCVLBgQWxsbJ553NbWloIF09fkbe/evXTr1o0GDRowYMAAgoKCXrnN48ePmTZtGi1atKBTp05s3rw5XccUahgMBmZ0q0JCUgrjN15QHSdznPgRbh2Ezouk+BGWxWDQu5wnxcPWL1WnyRR/BPzB8XvHmVR/khQ/2UCGCqAPP/yQfv36PXW/T0hICP369ePDDz9M8352795Nq1atqFy5MmPHjuXOnTvUr1+fqKioF24TFRVF3bp12bx5M59//jmff/45P/30E0ePHs3IjyKyWH5XByZ2qshGv2C2ns9m94s9vA47x0HNT6FkE9VphMh6rgX1buf+a+DCetVpjOp21G3mnZpHr3K9qFOwjuo4wggyNATm6enJpUuXsLa2pnDhwmiaRnBwMMnJyVSoUAErq//WVf7+/i/cT7169ShevDgrV64EIDY2loIFC+Lt7c2XXz7/E8SwYcNYtWoVAQEBODv/twKPj4/H3t4+TfllCEwtTdMYsPw0x2+Fs/2LRuR1Sdv7ZtJSkuHntnpPlAGHwC6H6kRCqKFpsOp9vUP0wKPgbP5LQySnJNN7W28exj1kTcc1ONk6qY4kjODZcaw06Nu372sfOCYmhqNHjzJo0KDUxxwdHWnevDm7d+9+YQG0YsUKPvroo6eKHyDNxY9Qz2AwMKVrJVrNO4D3uvN8934N8++gemQRBB6Hj7dJ8SMsm8Ggdz3/tra+BMxby82+A/pvF3/DL9SPX9v+KsVPNpKhAuiLL7547QPfvXsXTdMoVKjQU48XKlSI3bt3P3ebsLAwHjx4QNmyZfniiy84deoUhQoV4sMPP6Rdu3YvPFZ8fDzx8fGp379siE1kjTzO9kzrWon+y0+z7kwQb1YvojpSxj0IgD1Tod5gKCqXxoXAOa/e/XzV+3DuT/DqpTpRhl2PuM6iM4v4sOKHVMtXTXUcYUQZKoCMITExEXj2yo2jo2Pqc//rnyJmxIgRjBgxgqlTp3Ls2DE6d+7Mjz/++ML7j6ZPn87EiRONmF4YQ5tKBelctRDjN16gXqk8FHBzUB0p/ZITYV0/cC8OTX1Up3khTdNISUkhJSVFdRRhRFZWVlhZWZnmFVTPTnoX9K1fQYlG4Fro1duYmMSURMb4jqGISxEGVxusOo4wsjQXQMWLFwf0qe7//PeL3Lp165X7y51bXzfl4cOHTz0eFhaW+tz/cnd3x2Aw0LZtW8aM0RtuNWrUiICAABYtWvTCAmj06NEMGzYs9fuoqCg8PDxemVFkvomdKnLk+kNGrj3HLx/VNM1f5C/jO0/v9txnJ9iaZgGXlJREREQECQkJqqOITGBnZ0fOnDmfOzNXubaz4OZB2DgE3l1jdkNhy84v43L4ZZa3W469tdxmkd2k+Yzx8fF57n9nVMGCBSlYsCAnTpygY8eOqY8fO3aMxo0bP3cbJycnPD09KVCgwFOP58+fn4iIiBcey97eXu4RMlE5neyY2a0KH/1ygj9OBPJ2raKqI6VdiB/snwkNh0HhGqrTPJemaYSGhmJlZYW7uzvW1tbmV2SK59I0jeTkZKKioggNDaVAgQKm99465dK7oa/sAad/hRq9VSdKs0sPL/Gd33d8UvkTKuWppDqOyASvtRbY6xo7dizLli3j2LFjeHh48Oeff/L2229z4sQJatTQ/6BMmTIFf39//vjjDwAWLVrErFmzOHr0KIUKFeL+/fvUq1eP1q1b8+2336bpuDILzPSMXHOOzeeC2fZFIzxymcFNhknx8H1TMFjBp3vAxjSbOiYmJhIaGkqePHmwszPNjOL1JCQkEBYWRt68ebG1NdF19jYMhgvr9Oag7sVe/XrFEpIT6LWlF1ZY8Z/2/8HW2kT/fxWvRelq8GPHjqVJkyaUKVOGkiVL8sknn7B06dLU4gf04bR/T6UfNGgQXbt2pVy5cnh6elKyZElq1KjBrFmzVPwIwkh8OlQgp5MdX67xIyVFWU2edvtmQNgV6LrUZIuffzO5KwPCaMzivW09DRzdYcMgvVu6iVvit4SbkTeZ2mCqFD/ZWIauAN25c4fPP/+cQ4cOER4e/szzSUlJ6drf/fv3efDgAaVKlcLJ6elP/7dv3+bx48dUrFjxqccfPXpEUFAQHh4euLmlbzE6uQJkmg5dC+PdH48xoaMnveuXUB3nxe6ehGUtoak3NBqhOs1L/XMFyKSvDojXYjbv8Y198Ftn/b6g2v1Up3mhc6HneP/v9xlcdTCfVpG1LbOzDN019/HHH5OQkMCCBQtwd3d/7RD58+cnf/78z33uf9cb+4e7u7tRji1MR/3SefigbjFmbAugUdm8lMxrgq3mE2NhXX8oVA3qf6E6jciAe/fu0atXL1asWEHhwoVVx7EcJZvoXdJ3jodSzSFPadWJnhGXFIe3rzcVc1fko0ofqY4jMlmGCqCjR49y7dq1Z25GFuJ1jWpbnv1XQhmx2o/V/ethbWVil/d3T4bIQOh1EKxNcNaNeKW4uDj2799PbGys6iiWp+VEuLYL1g/Qm4ZaWatO9JRvznxDSEwIC5otwMZKzu/sLsOLof57uQshjMXJzoa5Pbw4ExjBDwdvqI7ztFuH4Oi30Gws5C2rOo0Q5scuh37f3N0TcHih6jRPOXnvJMsvLmdItSGUdCupOo7IAhmqYj7++GO8vb2lr4jIFG8Uz8WnDUvy9Y4rXLkfrTqOLv6x/qm1aF2oM0B1mmzv5s2bNGnShCNHjjB06FDat2/P4MGDuX//PgEBAfTr14+2bdvi4+Pz1JWchIQEmjRpQpMmTWjRogV9+vTh4MGDLz1WRrYRr6FoHb1r+t6p8OCS6jQAPEl8gs8hH6rlq8Z7Fd5THUdkkTTfBF2p0n/7IKSkpHDp0iVcXFzw8PB4ZhbCyxZANQVyE7Tpi0tMpsNCXxxsrVg3sD621oqvOG4eCn5/6Aud5jKfT4dmc4Ps//D396dy5coUK1aM0aNHkz9/fsaNG5fazXrYsGHkzp2b0aNH06hRI77//ntA/9104MABQP/ZT548yZQpU9iwYQMtWrQA9JmlJUqU4OrVq5QuXTpN25gys3yPE+Pgu0Z689A+u0HxTKvJRyaz6cYm1nZci4erNMm1FGke5OzTp09m5hDiKQ621szt4cWbSw7z7d7rfN6ijLow13bDyZ+g/VyzKn5eJjYhmeuhj7P0mKXyOuNol757PubMmUP37t1Tv+/atSubN2+mffv2gL6o8rBhw1ILICsrK5o0aZL6+pYtWxIdHc2CBQteWMxkZBvxmmwdoOsS+LElHPwamoxUFuVw0GFWXVmFT20fKX4sTJoLIGMsgCpEenh55GRgk1Is3HOV5hXyUalw+todGEVshN7Gv2QTeOOTrD9+Jrke+pgOC32z9JibhzRI93tYu3bt1P/+Z8ZWrVq1nnosNDSU5ORkrK314ur06dMsW7aMW7duERMTQ0hIyCvvWczINuI1Fa6hd1E/MAvKtoZCVbM8QlRCFOMOj6NOwTr0LNczy48v1MrQbe6hoaGsXr2agQMHAvDTTz8xa9YsSpUqxbJly2R2mDCaIc3KsOvSA4av8mPjkPrY22TxrJHtYyA+GjotMrt1jF6mVF5nNg9pkOXHTK9/D+n8M9T+vMf+Gck/ceIEDRs2ZMiQIfTt2xdXV1c2bdrEX3/99cJjZGQbYSSNvoLL2/T76/ruA5usXbJo1vFZxCTGMKneJPNoKCmMKkMF0JdffknLli0BvafG4MGDGTlyJMeOHWP48OGsWLHCqCGF5bKzseLrnl50WuTL/F1XGdmmfNYdPGArnF0BnRdDzux1adzRzlrNFbVMtm7dOho3bszs2bNTH9u8ebPRtxFGYmOnzwr7vgnsmw4tJmTZoffe2cuG6xuYVG8SBZ0LZtlxhenI0DXerVu30q5dOwC2bdtG06ZNGT9+PD/++CO7du0yakAhKhR05YsWZflu/3VO33mUNQd9Eg6bPoeybaDqu1lzTPHaXFxcuHnzZurMMH9/f5YtW2b0bYQRFagETUbBoQUQeCJLDhkRF8HEIxNpXKQxXUp3yZJjCtOToQIoISGBxMREAHbt2pV6o6CzszPx8fHGSyfE/+vXqCSVi+RkxCo/YhOSM/+AW4ZDcgJ0XJCthr6yu379+uHo6EiJEiWoUaMGTZo0oV69ekbfRhhZ/S/07urr+0PCk0w/3NRjU0lMSWR83fEy9GXBMjQEVr9+fQYNGkTTpk1Zt24dEyZMAODYsWPUqVPHmPmEAMDG2oq5Pbxo/81BZm+/zLiOnpl3MP+/4MJf0G0ZuMj9bCqUKFGCvXv3kitXrtTHypUrx969e3F2/u+9RFWrVmXv3r2pN0DnypWL06dPc/HiRWJjY6lYsSJRUVHcvn07dZsCBQqwd+/e1Juq07KNyGTWNtBlKXzXEPZMhjbTM+1Q225tY9utbcxqNIu8Tnkz7TjC9GVoMdRbt24xYMAAbt++zaBBgxg0aBAAHTt2ZOTIkTRokLU3V6aX9AEyXz8evMGULZf4o28d6pTMbfwDPH4Ai2tDiYbQ41ezv/pjlj1iRLpkq/f48CLY4Q29t0Bx4/8dCYsNo+uGrtQsUJO5jefK1R8Ll6EC6PHjx099CjM3UgCZr+QUjbe/P0pIVCx/f94IZ3sjrtejafDHOxB4HAYdgxx5jLdvRbLVH0fxXNnqPU5Jhl86QFSQ3nTU3sVou9Y0jc/2fsa50HOs67yOXA65Xr2RyNYydA+QFA1CFWsrA7N7VCEsOoFpW43cRt/vD7i8Vb/vJxsUP0KYHStr6LIYYkJhx1ij7nrTjU3sC9zHuLrjpPgRQAYLoPz583Pv3j1jZxEiTYrlzsGY9hVYeewOB66EGmenkUHw90io8hZU6GCcfQoh0i9XSWg1GU79rHdhN4J7MfeYcWwGHUp2oHnR5kbZpzB/GSqABg0axJdffsnjx1nbSl+If7xXuygNSudh5NpzRMYmvt7ONA02DgY7J2g70zgBhRAZ98Ynevf1jUP0buyvQdM0xh8ej6ONI6NqjTJKPJE9ZKgAWrlyJcuXLydv3ryULVuWSpUqPfUlRGYzGAzM7F6Fx3FJTNp08fV2duoXuL5H7/bs6G6UfEKI12Aw6OdjfDRsG/1au1pzdQ2Hgw8zsf5E3OyzX/NPkXEZuoO0b9++xs4hRLoVzunI2I6efLXmHG0qFaClZ/707+TRLdjuDdU/hDKy8KUQJiOnhz4dfsMgqNARyrdL9y7uRt9l9onZdCvTjQaFTXt2ssh6GZoFZu5kFlj2oWkafX49id/dSHYObYR7Dru0b5ySAr92hIg7MPCwUWecmIpsNUNIPFe2fo81Df7TC4JO6zMzndJ+83KKlsIn2z8h+HEwf3X+ixy2OTIxqDBHr7XccWxsLJcuGXkmjhDpYDAYmP5mZRKTUxi7wT99Gx//Dm776rNOsmHxI4TZMxj0WZnJCXp39nRYeWklJ++fZHL9yVL8iOfKUAH0+PFj3nvvPZydnfH0/G9H3p49e3Lq1CmjhRMiLfK5OjC5SyU2nwth87ngtG0UdhV2TYBa/aBEo0zNJyxTWFgYM2bMICYm5oWviYyMZMaMGURERGRdMHPjUgDaz9W7s/v/laZNbkbeZP7p+bxT/h1qFayVyQGFucpQATR69GiCgoI4ceLphet69+7NxIkTjRJMiPToWKUg7SoXYOx6fx5Ex738xSnJsH4AuBbO0tWnhXmKiIhgxowZREZGpmu7e/fuMXr0aKKjo1/4mkePHjF69GjCwsJeN2b2VqkbeHbWrwJF33/pS5NTkvE55EOBHAX4osYXWZNPmKUMFUDr1q1j2bJlVK9e/anH69Spw969e40STIj0MBgMTO5cCWsrA2P+8uelt7Yd/gaCTkGXJfrUdyFeIiwsjNGjR/Po0SPVUSyXwQDtv9YbJW7+Qr836AV+ufAL/mH+TKk/BUcbx6zLKMxOhmaBhYWFkS9fPoCn1lKJjY19+R8eITJRbmd7pnatTL/fT/HX6SC61Sjy7IvuX4S906DeEChaO+tDijRJTk5m9uzZANjY2FC8eHFatWr13EkLV69eZe/evVhZWdGmTRuKFHn6fb9y5Qp79uzBysqKunXrUrly5dTnwsLC+PHHHxk4cCCHDx/mypUrlClThrZt2wIQHx/Pd999B8CSJUtwd3enZMmSdOvWLc35kpOT2bZt2zP7fpmXZbZYOfJAh/nw57t61/aqbz/zkquPrrL47GI+rPghVfNVzfKIwrxk6ApQ1apV2bp1K/B0AbRgwQJq15Y/KkKd1hUL8Ga1wkzYdIGQyNinn0xOhHX99E6zTcaoCSjSRNM0IiIiiIiIICQkhIULF1KhQgVu3Ljx1OumTZtG5cqV2bFjB8eOHaNVq1b4+vqmPj9jxgzq1q3L8ePHOXXqFE2bNmXy5Mmpz/8zTNW4cWPmzp2Lv78/77//Pu+//35qjn+GsKKiooiIiCAmJibN+QA6dOjw3H2/yKsyW7QKHaBKL71re2TQU08lpiTi7etNUZeiDKo6SFFAYVa0DNi5c6fm4uKiff7555qVlZU2Y8YMrUmTJpqtra128ODBjOwyS0VGRmqAFhkZqTqKyAQRMQlarak7tfd+PKqlpKT894k90zRtgrumBZ1WFy6LJSQkaEFBQVpCQoLqKK/t7bff1nr37p36va+vrwZof//9d+pj0dHRWkBAgKZpmnb06FHN2dlZu379eurzFy9e1GxtbbVLly5pmqZp58+f1wDt448/Tn3N+fPnNSsrK23Pnj2apmna1atXNUC7efNmuvKlZd83b97UAO3q1atpzvy/stN7nCZPwjVtTjlN+62Lpv3r/F58ZrHm9auX5h/mrzCcMCcZGgJr0aIF27dvZ8aMGRQoUID58+dTvXp19u/fT926dY1XnQmRAW5OtszsVoXeP59g5fE7vFu7GASfgYNzoNEIKFRNdUT1Ep5A2JWsPWaesum65yohIYHt27dz69YtYmJiePLkCQEBAanPr1mzhmrVqtGmTZvUx5ydnSlXrhwAq1atIm/evPz1119ompY6PJ8jRw6OHz9O+fLlU7f79NNPU/+7UqVKNGjQgC1bttC0adMM58vIvtOT2WI5uutdold009cLe+NjLjy8wA/nfuDTKp9SMXdF1QmFmchQAQRQt25dNmzYYMwsQhhNk3L5eLuWB1O3XKJhCVeKrhsA+Tyh4QjV0UxD2BX4vnHWHrPvfihUNU0vvX//PnXr1sXFxYV69erh6upKfHw84eHhqa+5d+8eRYsWfeE+goODsbW1fWaGVb9+/ShVqtRTjxUsWPCp7wsVKkRw8ItbKqQlX0b2nZ7MFq1MC717+3YfEoo1wOewD2Xcy9C3sqxSINIuwwUQwJkzZ1IbIXp6elK1alVjZBLCKLzbe3Lwahinf/0Kj9hrGPrtB5t0dIrOzvKU1QuSrD5mGi1btgw3NzdOnTqFlZV+q+KUKVOearyaN29ejh49+uLD5cmDvb09M2bMeOXxHjx4QLFixVK/v3///kt/n6UlX0b2nZ7MFq/1VLixl8VbPuKW9RP+7PAnttbZrBO2yFQZKoCCg4N555132L9/P87OzhgMBqKjo2natCkrVqx45hOPECo429vwbeMkKv69mlNlhvBGfrk0nsrOKc1XY1R4/PgxLi4uqcVFXFwcy5cvf+o1nTt3ZtGiRRw+fJh69eoB+qyt4OBgSpQoQdeuXVm0aBFbt26lXbv/riN1/fp18uTJg5vbfxfG/O2336hZs2bq8wcPHuTLL78ESH3dvxsapiVfWvb9v9KT2eLZu3C26XB+OTOHIbnqUtY97QW2EJDBtcDatWtHTEwM3333XeqYdEBAAH379sXV1ZXNmzcbPagxyVpgFiLhCSxtwN04B1pFjWHT500olddZdaosZa7rRJ07d45atWrRqVMnypQpw4YNG4iOjsZgMHDr1q3U1w0bNoylS5fy3nvvkTNnTnbs2MHXX39Ns2bNAPD29mb27Nn06tWLYsWKcfHiRQICAti/fz958uTB39+fypUrU6ZMGby8vChZsiTLly+nevXqbNq0KfU4FStWpGDBgjRr1ozSpUtTvnz5V+ZLy75v3bpFiRIluHr1KqVLl05T5v9lru/x64pNiqXHph64PYnk15tXsOnvC3nKqI4lzEiGCiBHR0cCAgKeuqwL+sns6enJkydPjBYwM0gBZCH+HgmnfiHuk/20XXGPnE62rO5XFxvr11oCz6yY8x/Hq1evsn79emJjY6lTpw7u7u7s2bOHkSNHPvW648ePs2vXLhwcHOjQoQNlyz59JeD8+fPs2LGD2NhYKlWqRPv27VP/v/inSLl16xaHDx9OLUTeeustrK2tU/cRGhrKn3/+SUhICKVLl+ajjz56Zb779+8zb948RowYwc6dO5+770ePHjFz5ky+/PJLcufOnabM/8uc3+PXMeP4DNZcWcPqNr9TYuW7+kKpH20D69e6s0NYkAwVQCVLluTgwYMULlz4qceDgoJo1KgR169fN1rAzCAFkAW4eUBf6b31dKg7kFO3w+mx9AgjWpdjYJPSqtNlGUv945hW/xRAISEhFChQQHWcDLHE9/h4yHE+2fEJX9X8ivc934c7x+DnNtBsLDQcpjqeMBMZ+ij84Ycf0q9fP0JCQlIfCwkJoV+/fnz44YdGCydEhsRHw4ZBUKw+1O4PQI1iufi0UUnm77xKwL0oxQGFEBkVkxjDuMPjqJG/Bu9WeFd/sGhtvbv7vulw/4LagMJspPlaYaVKlVL/OyUlhUuXLuHh4UHhwoXRNI3g4GCSk5O5ceMG48aNy5SwQqTJDh+IeQgfbASr/9b4Q1uUZW/AA4av8mP9oPrYWtBQmHi+vHnzMnLkSJydLeveMHM25+QcwuPC+aHVD1gZ/nUONxkDV3bAuv7w6R6QGWHiFdJcAPXp0yczcwhhHFd3walf9IUTc5V46ikHW2vm9qhKl28PsWjPNYa2lFkjli5//vwy5dyM+Ab5subKGsbWGYuHi8fTT9o6QNcl8ENzODAHmo5WE1KYjTQXQF988UUmxhDCCGIfwcYhULIpvPHxc19SuYgbg5uWZtHea7SokJ/KRWRasRDmIDI+kvGHx1O3YF16lO3x/BcVqgaNvoQDs6FcG+n6Ll5KxgBE9vH3KEh4DJ0Xwb8W6f1fg5uVpnwBF4avPktcYnIWBhRCZNTM4zN5kviESfUnPbUI9zMajYD8FWHdAEiMy7qAwuxkaL5gbGws3377Lb6+vjx69OiZ5/ft2/e6uYRIn0ub4dwf0GUJuBV56Uttra2Y29OLjgt9mbfrCqPbVsiikEKIjNh9ZzebbmxiSv0pFMjxitl61rbQdSl81xj2TYOWk7ImpDA7GSqA+vbty969e+nSpQsVK0p3XaFYzEPY/AWUbQteb6dpk/IFXBnasixztl+mlWd+ahTLlbkZhRAZ8ijuEZOOTKJJkSZ0KtUpbRvlrwhNx8CeyVCuvT5LTIj/kaE+QK6urpw8efKZhmPmQvoAZSOaBqs/1Pv+DDwGLvnTvGlScgrdlx4hMjaRrZ81xNHO+tUbmRlL7BFjabLze6xpGsP3D+f4veOs77yePI7PdsJ+oeQk+Km1fm9gf199+Rch/iVD9wA5OTk9tyW7EFnOfy1c3ADt56ar+AGw+f+hsOCIWGZuC8ikgMKc3blzhzt37qiOYbG23drGzts78antk77iB/SO0F2XQlQQ7J6YOQGFWctwI8SJEyeSnCw3kAqFou/B1hFQsStU6pahXZTK68xXbcrzy+FbHL4eZuSAwtyNGzeOMWPGGH2/Uli9WuiTUKYem0rr4q1pU6JNxnaSpww0Hw/HlupXiYX4lwzdAzRkyBCqVKnCihUrKFas2DN35J88edIo4YR4IU2DTZ+DlQ20m/tau/qoXnF2XLjHl6vPsX1oI5ztZS0hkbnGjBmDjY0Nv/zyi+ooJknTNCYemYi1wRrv2t6vt7Pa/SFgC6wfBAMPg72LcUIKs5eh3/QfffQR7u7u9OjRg5w5cxo5khBpcHYlXNkGvf4DOXK/+vUvYWVlYHZ3L9osOMDULReZ/mYVI4UUxnDr1i2srKzw8PB46sPWuXPnyJcv31NreAUHBxMeHv5U5/qYmBgCAwMpUaIE9vb2z+w/OjqaoKAgPDw8yJEjR5oyvWybW7duYWNjQ5EiRQgNDSUuLg4Pj/827QsKCuLRo0dYW1tz9uxZAMqWLYuTk1OG82Q3G65vYP/d/XzT9BvcHdxfb2dWVnprjCX1Ybs3dPrGOCGF+dMywMHBQbt+/XpGNjUJkZGRGqBFRkaqjiIyIiJQ06YV0bS/+hl1t8uP3tKKjdys7Q24b9T9qpSQkKAFBQVpCQkJqqOk24EDB7TSpUtrBQsW1IoWLap5eHhou3btSn1+xIgRWtGiRbVHjx5pmqZpYWFhWsGCBbWxY8dqmqZpcXFx2oABAzR7e3utRIkSmru7u/b111+nbh8fH6/1799fc3Z21sqWLavlyJFD6927txYbG5v6mg8//FB7991307VNt27dtJYtW2q1atXSSpQoobm6umo1a9bUwsLCNE3TtFmzZmnu7u6au7u75uXlpXl5eWnnzp1L076fx5zf4+cJeRyi1VlRRxtzcIxxd3ximaaNd9W0KzuNu19htjJ0D1CBAgVk9pRQQ9P0hU7tnKGNcZcweKdWURqWycPIteeIfJJo1H2L9AkKCqJjx45MnDiR4OBgbt++zeTJk+nRowehoaEATJ06ldy5c9O/v77g7SeffELRokVT1yL88ssv2bJlC2fOnOHGjRsEBwej/WvS6+jRozl//jw3b97k8uXL3Llzh/PnzzN16tQX5krrNvv27WP27NncuHGDwMBAoqKi+Prrr1NztWvXjk6dOnH27FnOnj1L5cqVM5Qnu9E0jbGHxuJk68TIWiONu/MaH0GpZrBxsD4zTFi8DA2B9ejRA29vbxYuXIidnZ2xMwnxYieXwY198N5acMxp1F0bDAZmdqtC6/kHmLjpAl+/VdWo+zclsUmx3Iy8maXHLOFWAkcbxzS99ueff6ZIkSJUqVKF8+fPo2ka1apVw8rKigMHDtCtWzfs7OxYuXIlNWrUoHPnzuzZs4ezZ89iY2NDfHw8P/zwAwsXLqRCBb3RpYODA8OGDQMgISGBpUuXMnv2bO7du0dISAiaptG2bVvWr1/P5MmTn8mUnm3atm1Lo0aNAL1tSNu2bfHz83vhz5uRPNnRqsurOBpylKUtluJqZ+QP2QYDdFoI39bTu8a/+Z1x9y/MToYKoE2bNhEQEMB//vOfZ8blAfz9/Y0SToinhN+AHeP0T3KlW2TKIQrldGR8x4qMWO1H60oFaF3xFV1nzdTNyJu8tfmtLD3mnx3+xDO3Z5pee+nSJYKCgnjvvfeeerxIkSLEx8enfl++fHm+/PJLJk6cyLx58yhVqhQAt2/fJi4ujmrVnr8W1O3bt3ny5AkLFy7k+++/f+o5d/fn33OSnm0KFiz41Pc5cuTg8ePHL/x5M5InuwmMCmTuqbn0KNuD+oXrZ85B3IpA2xmwfgBU6AgVOmTOcYRZyFAB1K9fP2PnEOLlUlL0WRw5ckOrzP003K16Ybb538N73XlqFs9FrhzZ7ypnCbcS/Nnhzyw/ZlrZ29tTqVIlDh48+NLXRUVF8csvv5A7d27+/PNPBg8ejI2NDY6O+pWmFxUd/9wMvWjRIpo3b57mTOndJq0yc9/mIEVLweeQD7kccjH8jeGZezCvt+HSJr17fNG6rz2JQpivDBVAsjK8yHLHlsCdw9B7S6ZPYzUYDEx7sxKt5h3AZ/15Fr9T/eWLL5ohRxvHNF+NUaFRo0asXLmSGzduULJkydTHU1JSSE5OTu14PGDAANzd3fH19eWNN95gypQpTJgwAQ8PD4oVK8amTZto3Lhx6vYJCQnY2dlRtGhRihcvzh9//PFMwREXF4eDg8MzmTKyzYs4ODgQGxubKfs2R8svLuf0g9P81Poncthm8sw3gwE6zIdva8OWodDj15cuniyyr9dqeBIbG8utW7dSx9iFyBShV2DXRKg9AIo3yJJD5nNxYEqXSgxeeYZN50Lo5FUoS44rdO+88w4//vgjrVu3ZuLEiRQrVoyLFy/y7bffsmHDBooWLcp//vMf1q1bx8mTJylSpAi//PILHTt2pHXr1tStW5e5c+fyzjvvYG9vT+vWrbl58ybLly9n586dAMyfP58ePXrg6OjIm2++yePHj9mxYwfJycksXrz4ubkyss3zeHp6snDhQvbv34+bmxtly5Y12r7NzY3IGyw4vYD3KrxHzQI1s+agLvmh/dew5iO9m3zl7llzXGFSMjQL7PHjx7z33ns4Ozvj6fnfT5E9e/bk1KlTRgsnBMlJsL4/5PSA5uOy9NAdqhSifZWCjNvgz4OouCw9tqWzs7Nj165d9OvXj59//pmRI0dy6tQpli9fTtGiRYmKiuK7775jwYIFqb+D2rRpw6hRo5gzZw7Jycl069aNnTt3cu3aNb766isOHDjw1P01nTt35tChQ0RGRjJy5Ei+//57ypcvz/z581NfU7RoUYoVK5aubUqUKPFU3x/Q7wkqXbp06vf9+vWja9eueHt707t3b65fv56mfWc3SSlJ+Pj6UMi5EJ9V/yxrD17pTb2L/NYReld5YXEytBjqkCFD8Pf3Z+7cudSoUSN1aunWrVtZunQpGzduNHpQY5LFUM3IgTmwdyp8vAM8sujT4b+ExyTQat4BvIq48eOHb5jdUFh2XihT6Mz5Pf7h3A8sOruI39r+hlder6wPEPMQvq0DhavD23/IUJiFydAVoHXr1rFs2TKqV6/+1ON16tRh7969RgkmBPf8Yd8MqPeZkuIHIFcOO6a/WZndAQ9Yc+qukgxCZEeXwy/zrd+39K7YW03xA/oN0B0X6F3lz65Uk0Eok6ECKCwsjHz58gE89Yk4NjaWDFxQEuJZSQmwrj/kLg1Njb8YZXq09MxPt+pFmLTpIsERsa/eQAjxUonJiXj7elPctTiDqg5SG6Z8O/B6B7aNgkj5kGNJMlQAVa1ala1btwJPF0ALFiygdu3axkkmLNuB2RB6CbouBZtn12/KauM6epLD3oav1pyTIl+I1/Tdue+4HnGdqQ2mYmdtAm0m2kzXu8tvGKR3mxcWIUMF0JQpU+jTp0/qdPiZM2fStGlT5s+fz8SJE42ZT1iioFNwcC40+hIKVVWdBgA3R1tmda+C77Uwlh+7ozqOEGbLP8yfH8//SN8qfU2nFYNjTn3B1Bv79G7zwiJkqABq0aIF27dv5+bNmxQoUID58+fj5OTE/v37adAga6Ypi2wqMQ7WDYAClaBhJjdES6dGZfPyTu2iTN96idsPY1THEcLsxCfH4+3rTVn3svSp0kd1nKeVbq53md8xTu86L7K9DM0CM3cyC8yE7fCBY99B3/2Q30Q+Hf7L4/gk2i44QEFXR/7oWwcrK9OeNfLPDKE8efLIun3ZVEJCAmFhYWYxC2zuybmsuLSCPzv8SRn3MqrjPCs+GpbUB9fCetNVqwxdIxBmIl3vblJSUpq+hMiQO0fh8CL9pmcTLH4AnO1tmN3di+O3wvnpUNYuJpoR1tbWgP5HUmRP/7y3/7zXpurMgzP8euFXBlUdZJrFD+hd5rt8q3edP7ZEdRqRydLVCTqtny7Sc1Hpzp07/Prrr9y/f5/KlSvTu3fv1HVxXuXgwYP8+uuvtGzZkrfeytqFHYWRJcTos76KvKFPezdhdUrm5uP6JZi1/TJNyuWjdD5n1ZFeyMrKCicnJ6KiogC9waC59TISz6dpGgkJCURFReHk5ISVCV+teJL4BG9fbyrnrUzvir1Vx3m54g2gzkC9+3zplpC3rOpEIpOkeymMYsWK8dFHH1GuXLnXPvjFixepX78+TZo0oU6dOnzzzTf89ttv7Nu375XFVmhoKO+//z6PHz/G2dlZCiBzt2uC3o313TVgZdqfZAG+alOOfZcfMHy1H2v718XG2nT/+Li5uQGkFkEie3Fyckp9j03V/NPzCX0SyrfNv8XaDM5vmo+Dqzv0LvQf7wDr11o1SpiodN0DdODAAX788UfWrl1LtWrV+OSTT+jZsyc5cmRs8bqOHTvy5MkTdu3ahcFgICQkhBIlSvDtt9/y8ccfv3A7TdNo3749zZo1Y/ny5TRp0iRd7eLlHiATc2Mf/NYZ2syEOv1Vp0mz03ce0X3JYYa3KsegpqVfvYFi/ywkKrIPa2trk77yA3A05Cif7viUUbVG8W6Fd1XHSbvAE/BTK2jqDY1GqE4jMkGGboKOjIxkxYoVLFu2jKtXr/LWW2/xySefUKdOnTTvIyEhAWdnZxYvXsynn36a+njbtm1xcHBg3bp1L9x2zpw5bN26ld27d1OtWjUpgMxZXBQsqQfuxeGDjWZ30+HMbQH8ePAGGwc3oEJB+bckxL89TnjMmxvfpIhLEX5s9SNWBvM6v9k1Qb8vse8+fWaqyFYy9K/Rzc2NgQMHcurUKfbv34+fnx9169ZN1z7u3LlDYmIixYsXf+rxEiVKcO3atRdud+LECebMmcNvv/2W5nsZ4uPjiYqKeupLmIjtYyD2kd6Dw8yKH4AvWpShZB5nhq3yIyEpRXUcIUzK7JOziYyPZFK9SeZX/AA0GQ15yuj3JybJRILsJsP/IkNCQpg5cya9evXi1q1bDB06NF3bx8bqSwq4uLg89biLi0vqc/8rKiqKt99+m4ULF1KkSJE0H2v69Om4ubmlfv3vSs1CkSs74Mzv0GqKfgXIDNnbWDO3pxdX70ezaM9V1XGEMBkH7h7gr6t/MaLmCIq4pP33tUmxsde70Yde0rvTi2wl3dPgN2zYQKdOnShRogT79+9n2rRpBAUF8fXXX6frwP8MPT169Oipx8PDw184LLVy5UoePnzI9u3b6dOnD3369CEwMJBdu3bRp08fUlKe/wl89OjRREZGpn4FBgamK6vIBE/CYeMQKNUcavRWnea1VCrsxpBmZVi87zp+gRGq4wihXGR8JBMOT6B+ofp0L9NddZzXU9ALGn2ld6cPOqU6jTCidN3aXqRIERwcHOjduzfffPPNU1dh/t3/x8bm1bv18PDA1dWVixcv0rZt29THL1y4QKVKzx9rbdSoEbNnP12F79ixg4IFC1KnTp0XDonZ29uneWq9yCJ/j4TEWOi0ELLBtOyBTUux69J9hq/2Y/OQBjjYmsFMFyEyyfTj04lLimNCvQnZo+1Cw2Fweavepb7fAbB1UJ1IGEG6boJO6z/ktO6yb9++HDp0iOPHj5MjRw5OnDhB7dq12bJlS2pR9Ouvv3Ljxo0XrjFWtWpVuQna3FzcCKveh67fgVcv1WmM5sr9aDp840vv+sUZ066C6jhCKLHr9i6G7hvKtAbT6Fiqo+o4xvPgEnzXCGr304fthdlL1xWg1atXG/Xg06ZNo3nz5nh5eVGlShV2797NgAEDnroidPDgQY4ePSqLrGYXj0Nh81Ao1x6qZK/eTWXzuzCsVVlmbguglWd+3iieS3UkIbLUw9iHTD46maYeTelQsoPqOMaVr4I+JX7XBCjfAYqmfdazME3K1wJLTExk7969qZ2gq1at+tTzvr6+PHjwgDfffPO5269bty51CCyt5AqQIpqmX/m5dQgGHQPnfKoTGV1yikaPpYd5GJPA3583xMlOGqgJy6BpGsP2DePk/ZOs67yOPI55VEcyvpRk+KkNxITCgENgl7EeeMI0KC+AVJACSJFzq+GvPtDjF6jYVXWaTHMzLIa2Cw7w1hseTOwsvUOEZdhyYwujDo5iTuM5tC7eWnWczPPwur5gavX3oZ3MDDNnZtiYQZilqBDYOhwqdcvWxQ9AiTw5GNWmPL8euc2ha2Gq4wiR6R48ecDUY1NpW7xt9i5+AHKXgpYT4fj3ehd7YbakABKZT9Ng02dg4wDt5qhOkyU+qFucuiVz89Wac0THJaqOI0Sm0TSNCYcnYG9tz5jaY1THyRo1P4XiDWHDYL2bvTBLUgCJzHfmd31hwY4LwMkybgy2sjIwq3sVIp4kMGXzJdVxhMg0666t42DQQcbXHU9Oh5yq42QNKyvovFjvYr/dQoq+bEgKIJG5Iu7AtjFQ9V0o1/bVr89GPHI54dPBkz9PBrI34IHqOEIYXfDjYGadmEXnUp1p4tFEdZys5V4MWk/VP+Bd2aE6jcgAKYBE5klJgQ2DwMEN2kxXnUaJXjU9aFw2LyPXniPiiawlJLKPFC2FcYfG4WLnwshaI1XHUaP6h1C6hd7V/km46jQinaQAEpnn5DK4eQA6L9SLIAtkMBiY2a0KcYnJTNh4QXUcIYzmz8t/cuzeMSbWm4iLncurN8iODAa9m31SrN7dXpgVKYBE5nh4HXaOgzc+gVLNVKdRqoCbAxM7V2T92WC2+YeojiPEa7sTdYd5p+bxVrm3qFeonuo4arkWgraz4fwqvcu9MBtSAAnjS0mG9QP1RoctJ6lOYxK6VC1MK8/8eK/zJ+xxvOo4QmRYckoyPod8yO2Qm2E1hqmOYxqq9NS7Q28eqne7F2ZBCiBhfEcWQ+Ax6Pwt2DurTmMSDAYDU7tWRgN81vmneb08IUzN7xd/5+yDs0yuPxknWyfVcUyDwQAd5gEabBmqt/4QJk8KIGFcDwJgzxSoMxCK11edxqTkdbFnSpdKbLtwj41+warjCJFu1yOus/DMQt7zfI83CryhOo5pcc4H7b+GS5vg/BrVaUQaSAEkjCc5Cdb3h5xFoflY1WlMUrvKBenkVYix6/25HxWnOo4QaZaUkoS3rzeFnAvxWbXPVMcxTRW7QKXuetf7KLnfz9RJASSMx3cehPhB16Vg66g6jcma1Lki9rbWjFp7TobChNlYdn4Zl8IvMbXBVBxsHFTHMV3tZutd7zd9JkNhJk4KIGEcIedg/0xoMBSKyKXxl8npZMeMNyuz93Ioq04Gqo4jxCsFhAew9NxSPqn0CVXyVlEdx7Q55YKO3+jd78/8rjqNeAkpgMTrS0qA9QMgT1loLL0w0qJ5hfz0qFGEyZsvcffRE9VxhHihxOREvH29KeFWgv5e/VXHMQ/l2kDV9/Qu+BF3VKcRLyAFkHh9+2dCaIA+9GVjrzqN2Rjb0RNXBxu+WnOOlBS5VC5M0xK/JdyIuMG0BtOws7ZTHcd8tJmmN4DdMEjvii9MjhRA4vXcPQW+X+tXfgrKpfH0cHWwZVZ3Lw5ff8jyY7dVxxHiGedDz7PMfxn9vPpRPld51XHMi4MbdF6kd8M/uUx1GvEcUgCJjEuM1Wd9FfTS7/0R6dagTB7er1OM6VsDuBUWozqOEKnikuLwPuRNhVwV+KTyJ6rjmKdSTaFmH70r/sPrqtOI/yEFkMi4PVPg0W3oshSsbVWnMVuj2pYnr4s9I1b7kSxDYcJELDyzkKDoIKY2mIqtlZzfGdZiot4jaP1AvUu+MBlSAImMuX1Y7/jczAfyyaXx15HD3oY5Pbw4decRy3xvqI4jBKfun+L3i78zpNoQSuUspTqOebN3hi5L9O74RxarTiP+RQogkX7xj/VZXx61oe4g1WmyhVolcvFJ/RLM2XGFq/ejVccRFuxJ4hN8fH2omq8q73u+rzpO9lCsnv67cs8UvVu+MAlSAIn02zUeHj+ALt+ClbXqNNnGiNbl8HB3ZPhqP5KSZdaIUOPrU1/zMO4hU+pPwVrOb+Np5gPuxfT7JpOTVKcRSAEk0uv6Xjjxoz6unVsujRuTg601c3tWxT8okiX75IZJkfWOBB/hz8t/8kX1LyjqWlR1nOzF1lG/XzLET++aL5STAkikXVwkbBgMJRrpMxuE0VX1yMnAJqVZsPsqF4IjVccRFiQ6IZpxh8dRu0BtepXvpTpO9lSkBjQYBvtn6N3zhVJSAIm02zZGL4I6LwYr+aeTWT5rXobS+ZwZvsqP+CSZNSKyxqwTs4hOiGZS/UlYGeT8zjSNR0Le8vp9lEnxqtNYNPlXLtLm8jY4u1zvbppTLo1nJjsbK77uWZXroY/5ZvdV1XGEBdgfuJ/119bzVc2vKORcSHWc7M3GTu+aH3pZ76IvlJECSLzak3B9ZeMyraCazArJCp6FXPmsWRmW7LvOmTuPVMcR2VhEXAQTjkygYeGGdC3dVXUcy1Cgsn4lyHce3D2pOo3FkgJIvNrWL/VLtR2/AYNBdRqLMaBJKSoXdmP4aj/iEmUoTGSOacenkZCcwIR6EzDI+Z11GgyFglVhXX+9q77IclIAiZe7sB7810C72eBaUHUai2JjbcXcnl7cfRTLnO2XVccR2dCOWzv4++bfjK49mnxO+VTHsSzWNvpQWMQdvT+QyHJSAIkXe/wAtgyDCh2hcg/VaSxS6XwufNmqHMsO3eT4zXDVcUQ2EhYbxpSjU2hRtAXtS7RXHccy5S0HzcfqHaJvH1adxuJIASSeT9Ng8/8vcNp+ngx9KfRxgxLUKOrOiNV+xMRLAzXx+jRNY/KRyQD41PGRoS+V6gzUu+qvH6B32RdZRgog8XznVkHAZugwH5zzqk5j0aytDMzp4UVodDzT/76kOo7IBjbf2MyewD2MqzuO3I65VcexbFbWelf9xw/0VeNFlpECSDwrKli/8blyD/DspDqNAIrnycHoduVZfvQOB6+Gqo4jzNj9mPtMPzaddiXa0aJYC9VxBOhd9VtOgpPL4Poe1WkshhRA4mmaBhuH6G3b285SnUb8y3u1i1G/dG6+WnOOqLhE1XGEGdI0jfFHxuNg48CY2mNUxxH/9sYnUKKx3m0/TrrAZwUpgMTTTv8K13ZBp4XglEt1GvEvVlYGZnX3IjouicmbLqqOI8zQ2qtrORR0iAn1JuBm76Y6jvg3Kyu9y35clN51X2Q6KYDEfz26Ddu99WaHZVupTiOeo3BOR8Z18GT1qbvsvnRfdRxhRoIeBzH7xGzeLPMmjYo0Uh1HPE9OD2gzXe+6f3mb6jTZnhRAQpeSAhsGgaM7tJ6mOo14iR5vFKFpubyM+us8j2ISVMcRZiBFS2HsobG42bvx5Rtfqo4jXqbae3rX/U2f6V34RaaRAkjoTvwAtw5C50Xg4Ko6jXgJg8HAjG5VSEhKYdzGC6rjCDPwn4D/cOLeCSbVn4SznbPqOOJlDAa9635SPGwdoTpNtiYFkICwa7BzPNT8FEo2UZ1GpEF+Vwcmda7IJr9gtpwLUR1HmLBbkbeYf2o+vcr1ok7BOqrjiLRwLQjt5oD/WriwTnWabEsKIEuXkqw34HIpAC0nqk4j0qGTVyHaViqAz/rzhEbHq44jTFBySjI+h3zI65SXoTWGqo4j0qNyd6jQCTYP03sECaOTAsjSHV4Id0/oa9LY5VCdRqSDwWBgSpdKWBkMeK87j6ZpqiMJE/PrxV85F3qOqQ2m4mTrpDqOSA+DATrMA4OV3pVfzm+jkwLIkj24BHunQr3BUFQujZuj3M72TO1aiR0X77PuTJDqOMKEXHt0jUVnFvFhxQ+plq+a6jgiI3Lk0YuggM1w7k/VabIdKYAsVXIirOsH7iWgqY/qNOI1tKlUkC5VCzF+4wVCImNVxxEmIDElkTG+Y/Bw8WBwtcGq44jX4dkJKveErV9BpHzIMSYpgCzVwa/hnj90XQK2DqrTiNc0sVMlnOysGblWhsIE/Hj+R648usLUBlOxt7ZXHUe8rnazwM5J79Iv57fRSAFkiYLPwoFZ0HAYFK6hOo0wAjcnW2Z0q8KBK6H8cSJQdRyh0MWHF/ne73s+qfwJlfJUUh1HGIOju96d//puvVu/MAopgCxNUrw+6ytvBWj0leo0woialstHr5oeTNl8kcDwJ6rjCAUSkhPw9vWmVM5S9K/SX3UcYUxlWkL1D/Ru/Y9uq06TLUgBZGn2TYewq/qsLxs71WmEkXm3r0BOJzu+XONHSopcKrc03579lltRt5jaYCq21raq4whjazVVvxq0YZDevV+8FimALEngCTi0AJqMggJyaTw7cnGwZXb3Khy9Ec6vR26pjiOykF+oHz9f+JmBXgMpl6uc6jgiMzi46gum3joIx79XncbsSQFkKRKewPr+UKga1P9CdRqRieqVzsOHdYsxc1sAN0Ifq44jskBsUiw+vj5UzF2Rjyp9pDqOyEwlG0OtvrBrgt7FX2SYFECWYs9kiLwLXZaCtY3qNCKTjWxbngKuDoxY7UeyDIVle9+c/oaQmBCmNJiCjZWc39leiwn6chnrB+jd/EWGSAFkCW75wtEl0Gws5C2rOo3IAk52Nszp4cWZwAh+OHhDdRyRiU7cO8GKSysYUm0IJd1Kqo4jsoJdDuiyRO/if3ih6jRmSwqg7C7+MawfCEXrQp0BqtOILPRG8Vz0bViSr3dc4fK9aNVxRCZ4kviEsYfGUi1fNd6r8J7qOCIrFa0D9Ybo3fzvX1SdxixJAZTd7RwLMaHQZTFYWatOI7LY0JZlKZbbieGrz5KYLLNGspu5J+cSHhfOlPpTsJbz2/I09YZcJfX7O5MTVacxO1IAZWfXdsPJn6DVZP0kERbHwdaauT29uBQSzeK9csNkdnI46DCrrqxieI3heLh6qI4jVLB10IfC7vnDwbmq05gdKYCyq9gIvW16ySbwxieq0wiFqhTJyaAmpVi05xr+QZGq4wgjiEqIYtzhcdQpWIee5XqqjiNUKlwdGg6HA7P1Lv8izaQAyq62jYb4aOi0CAwG1WmEYoOblaFsfheGrTpLfJLMGjF3M4/PJCYxhkn1JmGQ81s0+hLyVYB1/fVu/yJNpADKjgK2gt9KaDMdcsqlcQF2NlZ8/ZYXN8NimL/rquo44jXsvbOXjdc38lXNryjoXFB1HGEKbOyg63fw8Jre7V+kiRRA2c2TcNj0OZRtA1XfVZ1GmJDyBVz5okVZvtt/ndN3HqmOIzIgIi6CiUcm0rhIY7qU7qI6jjAl+StC09F6t//AE6rTmAUpgLKbLcMhOQE6LpChL/GMfo1KUrlITkas8iM2QYbCzM3UY1NJTElkfN3xMvQlnlXvc73b//r+evd/8VJSAGUn/n/Bhb+g/VxwKaA6jTBBNtZWzO3hRVBELLO2B6iOI9Jh261tbLu1DZ86PuR1yqs6jjBF1jZ6t//Iu7B7kuo0Jk8KoOwi+r5+9cezM1TqpjqNMGGl8znzZety/HzoFkeuP1QdR6RBWGwYU49OpWWxlrQp3kZ1HGHK8paF5uPg2BK4eVB1GpMmBVB2oGmw+Qu90WH7r2XoS7zSx/VLUKtELr5c48fj+CTVccRLaJrGxCMTsTJY4VPHR4a+xKvVHgDF6sOGgfpsYPFcygug+Ph4Nm3axI8//sixY8fStM3Nmzf5z3/+w+rVq7lz504mJzQDfn/A5a3QYT7kyKM6jTADVlYG5nT3IjwmgWlbL6mOI15i041N7Avcx7i648jlkEt1HGEOrKyg82KIeQg7xqpOY7KUFkAPHjygWrVqjBw5kt27d9O2bVv69OnzwtdrmkaPHj1o1aoVmzZtYsWKFZQrV445c+ZkYWoTExkEf4+EKr2gQgfVaYQZKZrbiTHtKrDy2B32XwlVHUc8x72Ye8w4NoOOJTvSvGhz1XGEOclVQl8F4NTPcG2X6jQmyaBpmqbq4B9//DGnTp3i6NGjODo6cvbsWWrUqMH69evp2LHjM69PSUnhr7/+olu3bqmXgVeuXMl7773H1atXKVWqVJqOGxUVhZubG5GRkbi6uhr1Z8pSmgbL34QHl2DgEXB0V51ImBlN0/jgp+Ncvf+Y7UMb4eZoqzqS+H+aptF/V3+uPbrGX53/ws3eTXUkYW40DX7vCqGX//9vRE7ViUyKsitAKSkprFmzht69e+Po6AhA1apVqVevHn/++edzt7GysqJ79+5PjYG3aNECTdO4fPlyluQ2Kad+hut79G7PUvyIDDAYDMzsVoWY+CQmbrqgOo74l9VXVnM4+DAT60+U4kdkjMEAnRdBwmPYNkp1GpOjrAAKDAwkOjqaChUqPPV4hQoVuHjxYpr3s3HjRqytrfHy8nrha+Lj44mKinrqy+w9ugXbfaD6h1Cmheo0wowVyunIuI6e/HU6iB0X7qmOI4C70XeZc3IO3cp0o0HhBqrjCHPmVgTazAC//0DAFtVpTIqyAig6Wr8zPWfOnE897u7unuYC5cKFCwwfPpwvv/ySwoULv/B106dPx83NLfXLw8PMl4dISYH1g8ApN7SeqjqNyAa61yhCiwr5GLPuPOExCarjWLQULYWxh8bibu/OlzW/VB1HZAdV34GybfVVAmKk9cU/lBVA/wx7/VMI/SMqKgonJ6dXbn/t2jVatWpFp06dmDr15UXA6NGjiYyMTP0KDAzMeHBTcPw7uO0LXRaDvYvqNCIbMBgMTHuzMkkpGmM3+KuOY9FWXlrJyfsnmVx/Mjlsc6iOI7IDg0FfHSAlCbYOV53GZCgrgIoWLYqdnR03b9586vEbN25QpkyZl257/fp1mjRpQpMmTfjll1+wsnr5j2Fvb4+rq+tTX2Yr7CrsmgC1+0OJRqrTiGwkn4sDkztXYsu5EDb5BauOY5FuRt5k/un5vFvhXWoVrKU6jshOXPLrqwRcWAf+a1WnMQnKCiBbW1vatm3LypUr+Wci2t27d9m3bx+dOnVKfd3evXv5z3/+k/r9jRs3aNKkCY0bN+a3337D2to6y7Mrk5wE6weAa2FoPl51GpENdfQqRPvKBRm7wZ8H0XGq41iUpJQkfA75UCBHAT6v/rnqOCI7qtQNPLvoqwZE31edRjml0+AvX75MvXr1qFOnDrVr12b58uUULlyYnTt3YmNjA0CfPn04evQo/v7+xMbGUr58eeLi4hgzZsxTxU+zZs3w9PRM03HNdhr8wa9hz2T4aBsUra06jcimwmMSaDVvP1U9cvLDB29I5+Es8uP5H1l4ZiG/tvmVqvmqqo4jsquYh/BtbSj8Brz9H4teOcBG5cHLlSuHv78/v//+O/fv32fMmDG8++67qcUP6IVNyZIlAX3q/D/9ga5evfrUvmrUqJF1wVW4fwH2TYd6Q6T4EZkqVw47pnWtTN/fT7H2dBDdaxRRHSnbu/LoCt+e/ZYPK34oxY/IXDly6/cD/fGOPjOs6juqEymj9AqQKmZ3BSg5EX5opv9v331g66A6kbAAw1adZeeF+2wf2ohCOR1Vx8m2ElMSeXfLuySmJPJHhz+wt7ZXHUlYgnX99WnxA4/oU+UtkPK1wEQaHJijXwHqukSKH5FlxnesSA57G0auPYcFfk7KMj+c+4Erj64wpcEUKX5E1mkzA+ycYcNgvWO0BZICyNQFn4EDs6HRl1Comuo0woK4Odoys3sVDl4NY8UxWXQ4M1x4eIHvz31P3yp9qZi7ouo4wpI45oTOC+HGXjj5k+o0SkgBZMoS42DdAMhfERqNUJ1GWKDGZfPydq2iTNt6iTsPn6iOk63EJ8fj4+tDWfeyfFrlU9VxhCUq3QJq9NZXjA+/+cqXZzdSAJmyfdMg/Dp0XQrWskilUMO7fQVy5bBjxBo/UlIs81J5Zlh8djG3o24zpcEUbK3k/BaKtJqi3xi9YZC+yoAFkQLIVN05BocXQpPR+hUgIRRxtrdhdncvjt8M5+fDt1THyRbOPjjLrxd+ZWDVgZR1L6s6jrBk9i7Q+Vu4fQiOLVWdJktJAWSKEp7oDQ8L14B6n6lOIwR1S+Wmd73izNoWwPXQx6rjmLXYpFh8DvlQKU8lelfsrTqOEFCiob66wO6J+moDFkIKIFO0eyJEBUGXJWCttFWTEKlGtilPoZyODF/lR1KyZV0qN6YFpxdwL+YeU+pPwcZKzm9hIpqP11cZWNdfX3XAAkgBZGpuHtAvQ7aYAHleviaaEFnJ0c6aOT28OHc3gu8O3FAdxywdDznOiksr+KL6F5RwK6E6jhD/Zeek328afBoOL1CdJktIAWRK4qNh/SAo1gBq9VOdRohn1CjmTt9GpZi/6woB96JUxzErMYkxjD00ljfyv8E7FSy3+64wYR619Nsu9k7Xe89lc1IAmZLt3vDkIXRZDK9Y4V4IVYa2LEOJPDkY9qcfCUkyFJZWs0/M5lH8IybXn4yVQc5vYaKajoHcpWFdP0hKUJ0mU8lZaCqu7oLTv0LrKeBeXHUaIV7I3saauT2qcuV+NIv2XlMdxyz4Bvmy9upaRrwxgiIulrnsgDATNvb6qgMPLsHBOarTZCopgExB7CPYOBhKNYMaH6lOI8QrVS7ixqCmpVm89xrn7kaojmPSIuMjGX9oPPUK1aNH2R6q4wjxaoWqQcMR+jJMQadVp8k0UgCZgr9H6VPfOy0Cg0F1GiHSZHCz0pQv4MLwVX7EJSarjmOyZh6fSWxSLBPrTcQg57cwF41G6D3o1g/QVyXIhqQAUu3SZjj3B7SdCW6FVacRIs1sra34umdVbj98wrydV1THMUm77+xm041NjKo9igI5CqiOI0TaWdtC1+8g/Ia+KkE2JAWQSjFhsPkLKNcOvHqpTiNEupUr4MLQlmX5/uANTt0OVx3HpITHhTPpyCSaeDShY8mOquMIkX75PfWbog99o69OkM1IAaSKpsGWYZCSDB3my9CXMFt9G5WkqkdOhq/y40mCZTRQexVN05hydAopWgrj646XoS9hvup9BkXegPX9ISFGdRqjkgJIFf+1cHEDtJ8LLvlVpxEiw6ytDMzt4cW9qDhmbbusOo5J2HZrGztv78S7jjd5HPOojiNExllZQ5elEBUCuyaqTmNUUgCpEH0PtgyHim9CpTdVpxHitZXM68xXrcvzy+FbHL4WpjqOUqFPQplydAptirehTfE2quMI8frylIYW4+H4d/pqBdmEFEBZTdNg0+dgbadf/REim+hdrzi1S+TiyzXniI5LVB1HCU3TmHhkIrZWtnjX9lYdRwjjqdVPX6Vg/SCIyx5d4KUAympnV8KVbdBxATjlUp1GCKOxsjIwp4cXEU8SmLrlkuo4Sqy/tp79d/czvu54cjrkVB1HCOOxstJXKYgNhx0+qtMYhRRAWSnyLmwbBV7vQPl2qtMIYXQeuZzwbu/JHycC2Xv5geo4WSrkcQizTsyiU6lONC3aVHUcIYzPvTi0mqKvWnB1p+o0r00KoKyiabBhENi7QJvpqtMIkWneruVBo7J5GbX2HJFPLGMoTNM0xh0eRw7bHIysNVJ1HCEyT43eUKo5bByir2JgxqQAyionl8GNfdBpITjmVJ1GiExjMBiY2a0yTxKSmbAp+68oDbDq8iqOhhxlUr1JuNq5qo4jROYxGPS/YwlP4G/zLvalAMoK4Tdgxzh442Mo3Vx1GiEyXUE3RyZ0rMi6M0Fs87+nOk6mCowKZO6pufQs25N6heupjiNE5nMrrK9ecO5PuLRJdZoMkwIos6Wk6HfN58gDLSerTiNElnmzemFaeubHe915Hj6OVx0nUySnJONzyIdcDrkY/sZw1XGEyDpevaBce9j0hb6qgRmSAiizHVsCd45Al2/B3ll1GiGyjMFgYFrXyqRoGj7r/dE0TXUko1t+aTlnHpxhcv3JONk6qY4jRNYxGKDjfNBSYPNQ/T5XMyMFUGYKvaJ3zqwzAIo3UJ1GiCyX18WeKV0q87f/PTb6BauOY1Q3Im7wzelveLfCu9QsUFN1HCGynnM+6PA1XNqor25gZqQAyizJSfraKTmLQvNxqtMIoUz7KgXpUKUg4zZc4H5UnOo4RpGUkoS3rzeFnAvxefXPVccRQp2KXfVVDbYM11c5MCNSAGWWQ/Mh+Ax0XQq2jqrTCKHU5M6VsLW2YvRf57PFUNjP/j9zMfwiUxtMxcHGQXUcIdRqP1df3WDjZ2Y1FCYFUGa45w/7ZkD9L/RVdIWwcO457JjxZmX2BDxg9cm7quO8lsvhl/nW71s+rvQxVfJWUR1HCPWcckGnb+Dqdji7QnWaNJMCyNiSEmBdf8hTFpqMUp1GCJPRwjM/3WsUYdLmi9x99ER1nAxJTE7E29ebEm4lGOA1QHUcIUxHubZQ9V34exREBKpOkyZSABnbgdkQegm6LgEbe9VphDAp4zp64uJgw8i150hJMZ9L5f9Yem4p1yOuM7X+VOys7VTHEcK0tJkODq6wcbDeAsbESQFkTEGn4OBcaPQVFPRSnUYIk+PqYMvMblU4dO0hK47dVh0nXfzD/Fl2fhl9vfpSIXcF1XGEMD0ObnqX6Bv79NUPTJwUQMaSGAfrBkCBytBwmOo0QpisRmXz8m7tokzbGsCtsBjVcdIkPjkeb19vyuUqR5/KfVTHEcJ0lW6ur3qwc5y+CoIJkwLIWPZOgUc39Vlf1raq0whh0sa0q0AeFzu+XONHshkMhS06s4jA6ECm1p+KrZWc30K8VMvJkCMvrB8IKcmq07yQFEDGcOcoHF4EzXwgn1waF+JVctjbMKe7FydvP+In35uq47zU6fun+fXCrwypNoTS7qVVxxHC9Nk7Q5cl+t/Go0tUp3khKYBeV0KMPuvLoxbUHaw6jRBmo3bJ3HxUrwSzd1zm2oNo1XGe60niE3wO+eCV14sPPD9QHUcI81G8vr4Kwu5JEHpZdZrnkgLode2aoHe/7LIErKxVpxHCrHzVphxF3B0ZvsqPpGTTmzUy79Q8Qp+EMqXBFKzl/BYifZqP01dDWNdfXx3BxEgB9Dpu7IPj30PLiZC7lOo0QpgdB1tr5vbw4nxQJEv3X1cd5ylHQ47yx+U/+KLGFxRzLaY6jhDmx9ZRvy825Cwcmqc6zTOkAMqouCjYMBiKN4San6pOI4TZqlbUnf6NS7Fg91UuBkepjgPA44THjDs0jloFavF2+bdVxxHCfBV5Q18VYd9MuHdedZqnSAGUUdvHQOwj6LwYrOT/RiFex+ctylAqrzPDVp0lIUn9UNjsk7OJjI9kUv1JWBnk/BbitTQZpa+OsK6/vlqCiZAzOyOu7IAzv0PraeAul8aFeF32NtbM6eHFtQeP+Wb3VaVZDtw9wF9X/+Krml9R2Lmw0ixCZAs29vrqCKEBcGCW6jSppABKryfhsHEIlG4J1WVWiBDGUqmwG0OalWHJ/uucDYxQkiEyPpIJhyfQoHAD3izzppIMQmRLBb30VRIOfq2vmmACpABKr79HQlKsvvKtwaA6jRDZysCmpfAs6MrwVWeJS8z6BmrTjk0jLjmOCXUnYJDzWwjjajhMXy1h3QBIjFWdRgqgdLm4Ec6vgrazwbWQ6jRCZDu21lbM7elFYHgsc3dkbe+Qnbd3svXmVkbXGk3+HPmz9NhCWARrW31W2KObsGeK6jRSAKXZ41DYPBTKd4AqPVWnESLbKpvfheGtyvKj702O3wzPkmM+jH3I5COTaV60OR1KdsiSYwphkfJV0FdNOLIYbh9RGkUKoLTQNNgyFNCgw3wZ+hIik/VpWJLqRd0ZsdqPmPjMbaCmaRpTjuqfRsfWGStDX0JktrqD9dUT1g/QV1NQRAqgtDi/Bi5tgvZfg3Ne1WmEyPasrQzM6eHFg+g4ZvwdkKnH2nJzC7vu7MKnjg+5HXNn6rGEEOirJnRZoq+isHO8uhjKjmwuokJg63Co1B0qdlGdRgiLUSJPDka1Kc/vR2/jezUsU47x4MkDph2bRtsSbWlVvFWmHEMI8Ry5S+mrKJz4QV9VQQEpgF5G02DTZ2DjAO1mq04jhMX5oG5x6pbMzVdr/IiKSzTqvjVNY/zh8dhb2+Nd29uo+xZCpEHNT/XVFDYMhrjILD+8FEAvc+Z3uLoDOi0Ep1yq0whhcaysDMzqXoXI2ESmbL5o1H2vu7YO3yBfJtabiJu9m1H3LYRIAysrfTWF2Ef66gpZffgsP6K5iLgD28ZAtfegbGvVaYSwWB65nBjbwZNVJ++y+9J9o+wz+HEws07MomvprjQq0sgo+xRCZIB7MX1VhTPL4cr2LD20FEDPk5ICGwaBg5v+xgghlHqrpgdNyuVl1F/neRTzemsJpWgpjDs0Dhc7F76s+aWREgohMqz6B/rqChs/01dbyCJSAD3PyWVw8wB0XqQXQUIIpQwGAzPerEJ8YjLjN154rX39EfAHx+4dY1K9SbjYuRgpoRAiwwwGfXWFpFj4+6ssO6wUQP/r4XXYOQ5q9oFSTVWnEUL8vwJuDkzsXJGNfsFsPR+SoX3cjrrN/NPzeavcW9QtVNfICYUQGeZaSF9l4fxquLghSw4pBdC/pSTD+oHgnB9aTFSdRgjxP7pULUzrivnxWe9P2OP4dG2bnJKMj68PeRzzMKzGsExKKITIsCo99dUWNg/VV1/IZFIA/duRxRB4TG/QZO+sOo0Q4n8YDAamdq0MwJi/zqNpWpq3/f3i7/iF+jGl/hScbJ0yK6IQIqMMBn21BdBXX0jH+Z0RUgD940GAvjhb3UFQTC6NC2Gq8jjbM6VLJXZcvM/6s0Fp2uZ6xHUWnlnIB54fUD1/9UxOKITIMOe8+qoLlzbpw2GZSAoggOQkWN9fn47XzEd1GiHEK7SrXJBOXoUYv+EC9yLjXvraxJREvH29KexSmMHVBmdRQiFEhlXsoq++sHWEvhpDJpECCMB3HoScgy5LwdZRdRohRBpM6lwRe1trRq4999KhsGXnlxEQHsDU+lNxsHHIwoRCiAxrN1tfhWHjkEwbCpMCKOQc7J8BDYZCkRqq0wgh0iinkx0zu1Vm/5VQ/jwR+NzXBIQH8J3fd3xc6WMq562cxQmFEBnmlEtfheHaTn1VhkxgEgVQYGAgJ0+eJCoqKlO3eUZSPKwfAHnLQ+ORGd+PEEKJZuXz0/ONIkzefJHA8CdPPZeQnMAY3zGUzFmSAV4DFCUUQmRY2db6agzbxuirMxiZ0gIoLi6Obt26Ua5cOd5//30KFCjAwoULjb7NC/nOg9DL0HUp2NhlbB9CCKV8Onji5mjLV2vOkZLy30vlS/2WcjPyJtMaTMPW2lZhQiFEhrWepjck3jBIX6XBiJQWQBMnTuT48eNcv36dS5cusXLlSj777DOOHTtm1G1e6Mi30GQkFJBL40KYK1cHW2Z19+LIjYf8duQWAOdCz7HMfxkDvAZQLlc5tQGFEBnn4KavynDzAJz40ai7VloA/fzzz/Tp04eCBQsC0KVLFypVqsTPP/9s1G1eqEBlqD80Q9mFEKajQZk8vF+nGDO2BRBw/yHevt545vLk40ofq44mhHhdpZrqqzPsGq+v1mAkNkbbUzoFBwdz//59atR4+sbjWrVqcebMGaNtAxAfH098/H+7xkZGRgJwsvqn5Ag8ldEfQQhhQlp4JrPj0m16r/qLWPtAxtVYzInLmTeFVgiRdaw8+lLSbxtJv3xEjk834+LigsFgeK19KiuAwsP1FV9z58791OO5c+dOfc4Y2wBMnz6diROfXdqieaMP05VZCGE+utNAdQQhRGYY4caDBw/Imzfva+1GWQFka6vflBgX93QTs9jYWOzsnn9Dcka2ARg9ejTDhv137Z+IiAiKFSvGnTt3cHOT1d5VioqKwsPDg8DAQFxdXVXHsWjyXpgOeS9Mh7wXpuWf9+Nlf/PTSlkB5OHhgZWVFUFBT7eyDwoKomjRokbbBsDe3h57e/tnHndzc5N/0CbC1dVV3gsTIe+F6ZD3wnTIe2FaXnf4CxTeBO3k5ES9evXYuHFj6mMxMTHs2rWLli1bpj527dq11Pt70rqNEEIIIcTLKJ0FNmXKFNavX8/o0aPZuHEjXbp0IV++fPTt2zf1NTNmzOD9999P1zZCCCGEEC+jtABq3Lgxe/fu5fbt2yxYsICKFSvi6+uLs7Nz6mvKlClD9erV07XNq9jb2zN+/PjnDouJrCXvhemQ98J0yHthOuS9MC3GfD8M2stWERRCCCGEyIZMYi0wIYQQQoisJAWQEEIIISyOFEBCCCGEsDgWVwA9fPiQEydOcO/ePdVRLF5oaChnz54lIiJCdRTx/65evYqvry8xMTGqo1i0uLg4zpw5I7+nFNM0jZs3b3Lq1Cnu37+vOo7FuXjxIocPH37h85qmceHCBfz8/EhKSkr3/i2qABo/fjyFCxemd+/eFC9enD59+pCSkqI6lsU5cuQIDRs2pFKlSnz00UcUKlSITz/9NEP/gIXxXL9+nVq1atGwYUOuXr2qOo7F+vrrr8mXLx/vv/8+DRo04KOPPiIxMVF1LItz6dIlqlSpQu3atenbty+lSpWiU6dO8uEgC6xcuZJatWrRoEEDmjVr9tzXXLlyBU9PT5o1a0bHjh0pXrw4R44cSddxLKYA2rBhA9OnT2fPnj2pFeOaNWtYtGiR6mgW5+rVq8yYMYP79+9z5swZzp49y9q1a5k1a5bqaBYrISGBXr160a9fP9VRLNp3332Hj48PmzZtwt/fn2vXrtG8eXNiY2NVR7M4gwcPJm/evNy9e5dTp05x5coVDh8+zLx581RHy/YCAgJYuHDhS/8m9OrVizJlyhAcHMydO3fo0KED3bt3f2aprJexmALop59+onnz5tSrVw+AcuXK0aNHD3766SfFySzPBx98QP369VO/L1u2LM2bN8fX11dhKss2atQoypcvT69evVRHsVjJyclMnDiRAQMG0Lhx49TH33vvPVmCQYHQ0FBq1KiRuuZUoUKFKF68OKGhoYqTZX+TJk2idu3aL3z+zJkznDlzBm9vb6ytrQHw8fEhJCSEbdu2pfk4FlMAnTlzhho1ajz1WK1atfD395fLy4olJSVx9uxZSpcurTqKRdq6dSvr169n8eLFqqNYtIsXLxISEkLHjh0JDQ3l1KlThIeHq45lsSZMmMCKFSv4/vvv2bVrF97e3oSGhjJkyBDV0SzeP8tj/btJcpEiRShYsGDqc2mhbDHUrBYeHk7u3Lmfeix37twkJycTFRX1zHMi6/j4+HD//n2++OIL1VEsTkhICJ988gmrV6+WqwyKBQcHA7B+/Xp69epFwYIFCQgI4O233+b777/HxsZifl2bhMaNG9OwYUO8vb3x8PDgxo0bDB8+nJIlS6qOZvHCw8NxdXXF1tb2qcdz586drg8NFnNG2draPjM2+M+4+j+XOEXWW7BgAfPnz2f9+vXyi0WBQYMGUatWLQB8fX25du0aAGfPnsXJyYmyZcuqjGdR/vll7ufnx40bN3BycuLy5cvUrFmTihUrMnz4cMUJLUuHDh3InTs3gYGBODg4EBwcTO3atYmPj2fKlCmq41m05/09B/1venr+nlvMEFixYsUICgp66rGgoCBy5syJi4uLolSWbdGiRYwcOZK1a9fSpk0b1XEsUq5cuXj48CGjRo1i1KhRLFiwANAL0z///FNxOstSvHhxQL9HzsnJCdDvVWzatCkHDx5UmMzyPHz4kKNHj/LJJ5/g4OAA6PcAvfnmm2zcuFFxOlGsWDESEhIICwtLfSw5OZn79+9TtGjRNO/HYq4AtWzZkrVr15KcnJx609SGDRto2bKl4mSWafHixYwYMYI1a9bQvn171XEs1o8//vjU92fPnqVatWr8/PPPVK1aVU0oC1WyZEnKlCnz3A9q1apVU5TKMrm5uWFnZ8fdu3efejwwMJC8efMqSiX+0ahRI+zs7Ni4cSMff/wxAHv27CE6Ojpdf9MtpgAaNmwYv/32G7169eKDDz5gy5YtnD17lu+++051NIvz66+/MmTIEEaOHEnOnDlTZ385OzvLH11h0WbPns2HH36Iq6sr5cuXZ926dVy4cIGff/5ZdTSLYmNjw4ABAxg/fjxWVlaUKVOGvXv3sn79etauXas6XrZ3+fJlQkNDuXbtGpqmpf6N8PLywsXFhVy5cjFy5EiGDx9OSkoKTk5OjBw5kg8++ABPT880H8eiVoO/efMms2bN4vLlyxQtWpShQ4fi5eWlOpbFmTBhArt27Xrm8TJlysgvesWuXbtG7969+eWXX2RWniJ79uzhhx9+4OHDh5QpU4bPP/9c7sVSICUlhRUrVrB161bCwsIoWrQoH330EQ0aNFAdLdt70d+I77//PrXA0TSNX375hbVr15KUlETr1q0ZPHjwMzdGv4xFFUBCCCGEEGBBN0ELIYQQQvxDCiAhhBBCWBwpgIQQQghhcaQAEkIIIYTFkQJICCGEEBZHCiAhhBBCWBwpgIQQQghhcaQAEkKYlYSEBP744w8iIiKe+/3zpKSk8Mcff/Dw4cPXOrax9iOEUE8KICGEWYmKiuLtt9/m1q1bz/3+eRISEnj77be5evXqax3bWPsRQqgnBZAQwqzZ29vz1ltv4e7urjqKEMKMWMxiqOL/2rt/l/T2OI7jL5HqOxQGlQYRJdXWUEFEIC39GjKIGiKhaKixHxDNDU1t/QFBgYMUaYWLcxG2lCLhkFCUEJZDQ0GLer7TFfxe6R7vINfr87H5Ph/fr/XFOXgE/js+Pz91c3MjwzA0PDyshoaG/LWTkxPlcjlZrVZ1dHSov7//x//3qaur08zMjGw2W8E8kUgoHo+rq6ur6P+amc35pz0AKhMFCEBZnZ6eamVlRU6nU3a7XU9PT/J6vRoaGpIkXVxcKJvNKpPJKBaLqaamRqFQSO3t7UX3/fUILBKJqK+vT5K0t7ennZ0duVwuvb29Ff2umRwzewBUKAMAyiSRSBi1tbXG/v5+fpZKpYxwOFz0fDabNebm5ozl5eX8LJ1OG5KMSCRS9PPDw4NhtVqNYDBoGIZh5HI5Y2FhwZBUUs6/2QOgcnAHCEDZ+Hw+tba2an19PT9zOBxyOBwF5+LxuB4fH/X19aWWlhZdXl6azvD7/erp6ZHb7ZYkWSwWbW9vy+fz/e3sTzml7AFQeShAAMrm5eVF3d3dslgsRa9/f39renpakUhEg4ODstlsSiaTen9/Lymjs7OzYOZ0OkvOMbMHQOXiV2AAyqaxsfHHd+h4vV4lEgk9Pz8rFArp+PhYHo9HhmGYzmhqatLHx0fB7M/PZnLM7AFQuShAAMpmYmJCsVhM0Wi0YJ5OpyVJqVRKbW1tqq+vz1/z+/0lZbhcLt3d3SmZTOZngUCg4IyZHDN7AFQuHoEBKJvx8XEtLi5qdHRUGxsbstvtOj8/19LSkjwej9xut3Z3d7W5uane3l6dnZ0pGo3KarWazpicnNTIyIjGxsa0tramVCqlw8PDgjNmcszsAVC5uAMEoKyOjo50cHCg19dX3d/fa2trSx6PR5I0MDCgq6srZTIZXV9fa2pqSoFAQLOzs/nv//niw2IvQgwGg1pdXdXt7a1+/fqlcDis+fl5NTc3m84xswdA5bIYpTxcBwAA+B/gDhAAAKg6FCAAAFB1KEAAAKDqUIAAAEDVoQABAICqQwECAABVhwIEAACqDgUIAABUHQoQAACoOhQgAABQdShAAACg6lCAAABA1fkN1ZNmzdCVRdAAAAAASUVORK5CYII=", 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%pip install scikit-fuzzy\n", "\n", "import numpy as np\n", "import skfuzzy as fuzz\n", "from skfuzzy import control as ctrl\n", "\n", "# Antecedentes: universo de discurso 0-10\n", "calidad = ctrl.Antecedent(np.arange(0, 11, 1), 'calidad')\n", "servicio = ctrl.Antecedent(np.arange(0, 11, 1), 'servicio')\n", "\n", "# Consecuente: universo de discurso 0-25 (% de propina)\n", "propina = ctrl.Consequent(np.arange(0, 26, 1), 'propina')\n", "\n", "calidad.automf(3, names=['mala', 'aceptable', 'excelente'])\n", "servicio.automf(3, names=['pobre', 'aceptable', 'bueno'])\n", "\n", "calidad.view()\n", "servicio.view()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Las dos figuras muestran tres curvas triangulares solapadas por variable: por ejemplo, una\n", "calidad de 6 pertenece **a la vez** un poco a «aceptable» y un poco a «excelente», con distinto\n", "grado. Esa es la fuzzificación: convertir un número nítido (*crisp*) en varios grados de\n", "pertenencia µ(x) ∈ [0,1] (§7.1-§7.2)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Fase 2 — Variable de salida y reglas\n", "\n", "`propina` no usa `automf`: sus tres curvas se definen a mano con `trimf` para controlar los\n", "puntos exactos de la teoría. Después, las tres reglas IF-THEN combinan las entradas con **OR**\n", "(`|`, el máximo de los grados — §7.3):\n", "\n", "1. calidad mala **o** servicio pobre → propina baja\n", "2. servicio aceptable → propina media\n", "3. servicio bueno **o** calidad excelente → propina alta" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "propina['baja'] = fuzz.trimf(propina.universe, [0, 5, 10])\n", "propina['media'] = fuzz.trimf(propina.universe, [10, 15, 20])\n", "propina['alta'] = fuzz.trimf(propina.universe, [15, 20, 25])\n", "\n", "propina.view()\n", "\n", "regla1 = ctrl.Rule(calidad['mala'] | servicio['pobre'], propina['baja'])\n", "regla2 = ctrl.Rule(servicio['aceptable'], propina['media'])\n", "regla3 = ctrl.Rule(servicio['bueno'] | calidad['excelente'], propina['alta'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Fase 3 — Inferencia y desfuzzificación\n", "\n", "Con las reglas montadas en un `ControlSystem`, cada `ControlSystemSimulation` fuzzifica las\n", "entradas, evalúa las tres reglas y **desfuzzifica** el resultado por centroide (centro de\n", "gravedad del área resultante) para devolver un número nítido — el mismo caso de la teoría\n", "(§7.6): calidad 6,5, servicio 9,8." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Propina sugerida: 19.70%\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sistema = ctrl.ControlSystem([regla1, regla2, regla3])\n", "sim = ctrl.ControlSystemSimulation(sistema)\n", "\n", "sim.input['calidad'] = 6.5\n", "sim.input['servicio'] = 9.8\n", "sim.compute()\n", "\n", "print(f\"Propina sugerida: {sim.output['propina']:.2f}%\")\n", "propina.view(sim=sim)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "La propina sale en torno al **20 %**, como en la teoría (el valor exacto depende de la resolución\n", "del universo, `np.arange(0, 26, 1)`). En la figura, la línea vertical marca el centroide del área\n", "difusa resultante: así se ve literalmente la fase de **desfuzzificación**, no solo su número." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Fase 4 — Un segundo escenario, para contrastar\n", "\n", "El mismo sistema, sin tocar ni una regla, con **calidad 3** y **servicio 2** (mal servicio y\n", "comida floja): deberían dominar la regla 1 (propina baja)." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Propina sugerida: 9.32%\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sim2 = ctrl.ControlSystemSimulation(sistema)\n", "sim2.input['calidad'] = 3.0\n", "sim2.input['servicio'] = 2.0\n", "sim2.compute()\n", "\n", "print(f\"Propina sugerida: {sim2.output['propina']:.2f}%\")\n", "propina.view(sim=sim2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": "La propina baja hasta en torno al **9 %**: con calidad 3 y servicio 2, «calidad mala» y «servicio\npobre» tienen un grado de pertenencia alto, así que la regla 1 domina la agregación y el centroide\nse desplaza hacia el extremo «baja» del universo de `propina`. Cambia tú los dos valores de\nentrada y vuelve a ejecutar esta celda para ver cómo se mueve el resultado — es la forma más\nrápida de entender el FIS sin tener que leer el código de `scikit-fuzzy`." }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Resumen\n", "\n", "| Fase | Qué se ha hecho | Dónde está en la teoría |\n", "|---|---|---|\n", "| 1 | Fuzzificar `calidad` y `servicio` con `automf` | §7.1-§7.2 |\n", "| 2 | Definir `propina` a mano y las 3 reglas con OR (máximo) | §7.3 |\n", "| 3 | Montar el `ControlSystem`, simular y desfuzzificar por centroide | §7.4, §7.6 |\n", "| 4 | Repetir con otra entrada para ver el efecto en el resultado | — |\n", "\n", "Las tres fases — fuzzificación, evaluación de reglas, desfuzzificación — son siempre las mismas,\n", "cambie lo que cambie el problema: es lo que vas a volver a montar tú mismo, sin este guion, en el\n", "notebook de entrega `N02` (control difuso de un ventilador)." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "name": "python", "pygments_lexer": "ipython3" } }, "nbformat": 4, "nbformat_minor": 5 }