{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Ternary Plots" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "ExecuteTime": { "end_time": "2021-02-15T09:51:04.609575Z", "start_time": "2021-02-15T09:50:59.153739Z" } }, "outputs": [], "source": [ "import poisson_approval as pa\n", "from fractions import Fraction" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## SimplexToProfile" ] }, { "cell_type": "markdown", "metadata": { "ExecuteTime": { "end_time": "2020-02-15T12:35:50.964270Z", "start_time": "2020-02-15T12:35:50.958250Z" } }, "source": [ "Poisson Approval relies on the package *python-ternary* to draw plots on the simplex of $\\mathbb{R}^3$. The coordinates of a point are denoted *right*, *top* and *left* because they are respectively equal to 1 at the right, top and left corners of the triangular figure. They typically represent shares of different types in a profile. In order to draw plots, we need a *SimplexToProfile* object that will generate the needed profiles:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "ExecuteTime": { "end_time": "2021-02-15T09:51:04.625268Z", "start_time": "2021-02-15T09:51:04.613569Z" } }, "outputs": [], "source": [ "simplex_to_profile = pa.SimplexToProfile(\n", " pa.ProfileNoisyDiscrete,\n", " right_type='c>a~b',\n", " top_type=('abc', 0.5, 0.01), \n", " left_type=('bac', 0.5, 0.01), \n", " d_type_fixed_share={('abc', 0.1, 0.01): Fraction(1, 10), \n", " ('abc', 0.9, 0.01): Fraction(1, 10)}\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The above syntax defines a function *simplex_to_profile* that maps a tuple *(right, top, left)* to a profile defined as:\n", "\n", "* The class of profile is *ProfileNoisyDiscrete*,\n", "* A fixed share 1/10 of voters are of type $(abc, 0.1, 0.01)$, and a fixed share 1/10 of voters are of type $(abc, 0.9, 0.01)$,\n", "* The other voters, i.e. a share 8/10, are distributed between *right_type*, *top_type* and *left_type*, in respective proportions that are given by the input tuple *(right, top, left)*.\n", "\n", "For example:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "ExecuteTime": { "end_time": "2021-02-15T09:51:04.669882Z", "start_time": "2021-02-15T09:51:04.630343Z" } }, "outputs": [ { "data": { "text/plain": [ "a~b: 17/100> (Condorcet winner: a)" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "simplex_to_profile(right=Fraction(17, 80), top=Fraction(52, 80), left=Fraction(11, 80))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Scale" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "All the plots require a resolution parameter called *scale*. For example, if *scale=10*, then the simplex is divided into cells of diameter 1/10 and the value of the plotted function is computed at the center of each cell. For more information, cf. the documentation of the package *python-ternary*. In this tutorial, we define a global parameter *SCALE* and we will use it for all the plots." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "ExecuteTime": { "end_time": "2021-02-15T09:51:04.702216Z", "start_time": "2021-02-15T09:51:04.674661Z" } }, "outputs": [], "source": [ "SCALE = 21" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Number of Equilibria" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "By default, the function *ternary_plot_n_equilibria* computes the ordinal equilibria, i.e. those where all voters having the same ranking cast the same ballot:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "ExecuteTime": { "end_time": "2021-02-15T09:51:12.849245Z", "start_time": "2021-02-15T09:51:04.706205Z" } }, "outputs": [ { "data": { "text/plain": [ "(
, TernaryAxesSubplot: -9223371904852674332)" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "pa.ternary_plot_n_equilibria(\n", " simplex_to_profile,\n", " scale=SCALE,\n", " title='Number of ordinal equilibria')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Using the option *meth*, you can investigate other kinds of equilibria:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "ExecuteTime": { "end_time": "2021-02-15T09:51:23.155264Z", "start_time": "2021-02-15T09:51:12.853340Z" } }, "outputs": [ { "data": { "text/plain": [ "(
, TernaryAxesSubplot: 132002423279)" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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2XxS4GIqS/zwMoy8MGgZG9dFE7iGH2UVBELJAkpwgxCAiX5Wu+nqRKsIs7+y0th7XudF94H38cPgmCF0O5uyWHCFJThBihFXxzRFEjMsDi0GUfhoRQxXBUGPBqBlL5JtwmFwUhC6DNFcKQjeCiAoqdPniPkZfTPBOdLSP1zwT0RFDhtTmhCMLGUIgCN2LkArdo6FpSXCp432UCsBUUwHUDVSUv6DzvBOErocMIRCEboJJZu8KXXHqYHMwhruHt9tOhgVK8Sv1uk4FYIChH+hkNwWhayE1OUHoHgRV8GEGY0lwWbttxX3LcM45b3I4v4nchrYStxN54TKOBtBQrKjwgsPhryDkHGmuFITugYc8Qyp0xdGjXUehxFXSut7tacb0+R9Ys098D8WFDfTylWvxhSl7yGNoJHYV85gnAHCB0XQnZeqxIgg9AAJATFktuUKSnHBE41P+xwFgSXBpLHExSodux4nnv4z+g3fDNKOPoB6T8e25O9STl36EMb0a2Gtarc+mRC7tNhYCaPQTCv/n8J+FIOQAqckJQtfGr/wTq3Tl2CmeqQibYQIx5p3yDk+eu4Zd7giUYiNxn+HhRjxx6Ufqx8d+Tj7TQrTdBnCbcwF4waj7PRG1208QehTSXCkIXR8T5mMEwmWBywEALlcLQr0qyDR12rYVRcAlE/bTTadsgsdgBqCIDHjMRQBaPISi6w+D+4KQWzjLJUdIkhOOSIIquKCGawbO8c5F0Ai2rmc4f3dQ5LVgqgPv51zGNBDywaj5PlFsfh5B6KGQpqyWXCFJTjgi0dAPGDBwUeCiDiuTSMHjOhNAxCQU3tBhBQtCVyPbWpzU5ATh8BEyQhfUcV3x8f4T4VW+Di3bVGNBFAKj+moiyu/QwgWhK6EpuyVHSJITjiiIiBq48XY33Dgr/6zOKB9e8xwAWhEK7+zwAwhCV0E6nghC1yOkQl9p5IbA6flnwEWuTjmGaQyDor5gVJ1HROFOOYgg5BJprhSErgcRGbW67nd+8uNE/0mHXF66363HPB/RbiwFDx7ygQShy5FlU6U0VwpC5xNW4eub0eQ5L/98GAlD2dyeZkyau9pSSgMOGle2Vbpx/csDdF2LUkiS70yjPxQNAqNqAZFRkqQIQRAOA2auHRCEwwEReUy4vh9UQcz1zbNtYZQO3YFJR6+DYUYQE+WKN7C0e/xssQh/W9FH//m9/qopQnGTuH2bh0av6zzUN/8ehMCTACZ1yokJQq7IoVRXNkiSE44Iwip8Q5kuMy8NXK0VKQUA/kA9ph2z0ioIV6vYAPB49c5ezbPi31ft9uNrTw3lPbVuNFkKOJDU7LU5HV9vqGIYahQs/clEIu9o5saPO/csBeEwwbmdCDUbJMkJPR4iyjdgXF1s9MIUzxQAwPBxn/FRUz4lQ2kilX4EuGbg/704UP93fbFqjKjW6lviYWKf9lft5DHPofrmX4PgehzAiI47K0HIMTl8z5YN8k5O6PGEVfhOC5a6MngliEgBwLjpH5NpapDK+BswtlR68NBHxaox4ujnYiAm0g6ADBWEqSaCUTucKG/WoZ2JIHQhpHelIOQeIgqX6/LzSo1SjHYfdVBlMAOG4mx/pq1zz3ldZyD2U3v4oBwQhK4GQ3pXCkJXoEiFHmQwlhS0nxD1cEHkg8uYCaC+r6LgaTlzRBA6EqbslgwQ0QAiepmI1hPROiK6NonNfCKqIqIPY8uPM5Ur7+SEHotBRomGXjDcNQKDXINy6ovHPBkt1nIwWu4mohBz1jVDQehadHzHkwiAbzLzB0QUAPA+ET3PzB8l2L3OzI4fFqUmJ/RYgir4OAAsDS7NtSsgcsNtHAugsZBQuCTX/gjCoZFlLc5BTY6ZdzHzB7H/1wBYD+CQx5hKkhN6JD7lG12pKydPcE9Ab7NPrt0BALjN+QA8YNT/Od4BRhC6JQywpqyWbCCiwQAmA3g3yebZRLSKiJ4morGZypIfmtAjccP9OIGwOHBlrl1phciExzwRQLOPUPidXPsjCIdE9jW5YiJaYVuuTlZsbPaOhwBcx8zVCZs/ADCImScC+BOARzK5KUlO6HHkq/zZ1Vw9fKZ3FgrNwoStjAHDtmdVns+ldURTNo+iGined7uMWQD8YNT+jKiTFKIF4XCQ/SwE+5l5mm25NbHI2G/iIQD3MPN/E7czczUz18b+/xQAFxEVp3NTkpzQ4yDQfxUULg5c0mZ9XqAOx5z2ljVpzhq2yXdlen3O/QMt+NtpGxHytbBLaSuDfbxcuwLKAd9IwWueBiDiIhT+xsn5CEKXg9EZvSsJwB0A1jPzH1LY9I3ZgYhmIJrDytKVK0lO6FEUGkWn1XJt3/m+BZyn8gAARBqjJm7Qx539GkLFlRST8AIODNoG2ic7y2ajFgytxhvL1tBF4/fDY2hER8+1s4+viw8IB5IMhTWNSSAUgFFzLRF17KytgnC46PhxcnMAXA7gONsQgVOI6EtE9KWYzXkA1hLRKgA3AbgoU09lkp7MQk+BiMhP/vIWbim8ofdNloc8RmFxJWbM/4C9/iY2TJ3uoU6jbdJr1axMZO0eP7761FDeWe3iZq0IUVnnVs3KNFix8lXE+oQbWu4iQuG/NFdcnt2ZCkJumTY8j9/77eis9jHO+eB9Zp7WSS6lRGpyQo8hpEJL6rm+cFHeKfCQxwCAo09YjrxgA2VIcED0t2B/3Eya4ABgXJ96vHDFWrpkwj6iA/s4+S21HsM0RhFRLzCqLyWiAgf7CkLXQRRPBOHwQkSqjuv+7CUvTsk7tXW9Mpy8QsseUwGnjawkv0tnMyQ2XuMDAHjN8wBoIhTe2+EOCkJnI9qVgnD4CKvwd5u4yXd23jkwqXsI+ZjGQCgqBaPqFCKjawzmE4QehiQ5odtDRK5qXf3TfMrHAv9xuXYnK7zm+QAYhPxHcu2LIGRDZw4G70gkyQndnrAK/6YFLa6LA5dAdTMhEcPoDYOGg1E9i8g9NNf+CIJjOngIQWfRve4IgpAAEfkqdeU1IRXCDO/MXLtzUHhc5wIACN4ncuyKIDhDOp4IwuEhrIpvtWAZiwNXgLISJek6GKoQphoHRs1RRHmTc+2PIGSm4wWaOwtJckK3hYgKK3T5pX2NfhjnHd9ue16gDsro+PlA4pTtKURLRGXzG2Kk+M15XGchNkzv0Q5wTRA6H6nJCULnElKhezU0JU6lE1c4WXj2a1AHZvTONJYgvj2pHJedhnoP3nxmhlW/eizPcPm02Xa/VGgckBFrZ6soDy5jGoC6AYoCx2coSxByCnP2S67oHn2tBSEBg4w+DF402ByCoe5hreuLelVg+rEr2etvgmFqoO0AbyfY7dn+nRnYtH4Qr1sxmqyIQQDRub4CmuH24+76Kq7QFkfaPzjGlVAoSdkatkHnHvNUtFgfAOD/ACjM0m9BOLzksAkyGyTJCd2SAlXwSIWuwNLgMg0AphlR42Z+ZA0ctsMwotqUib/AeDKxJxcLBxJQosKJPVlZ1RX5xvJXJuva6jxoyyD79gGGC9/ND6tXm+r5maZaRADN0e3259dEf9olUyIPXMZcbrFeLVBUeLHmyvscB0QQDjc5bILMBmmuFLodbnIPrdAVs45yjUF/V38FgOYsegcDh2+nWO0tHfYEmCwZtqOx3oOXH5uL6ooAactI+psxiHCcN4++FyhGP9WaL9skw2S7Ja7wmMcT4AKj8Vbqrj1phJ4PA8yU1ZIrJMkJ3Q6/8j8BAFcGl8RXkdfXxIbBTq9nlfCZlpYW0yBijgkxpyWkDJzszVduIOLQFyCaDBmITqzqNo4H0JRPKLwmizIE4TCSZacT6XgiCM7IV/lTqnTVUVM90xA2w7l2p1Nwm3MA+MCo+w1RN9EoE448ZAiBIHQ8CuoRBYXLgj13dhoiAx7zFAAtHkLhT3PtjyAkQ5orBaGDKTAKj6/hmgFzfHMRUIFcu9OpuIypIATAqP0uEXly7Y8gtCHefSubJUdIkhO6DRZH7jdh4sL8C3PtSqdDRLEB4hGDUPSnXPsjCO2Q5kpB6DhCRvjiOq4Ln+A/EV7ly7U7hwWXMQZEITCqlhFRz666Ct0OmYVAEDoIIqIGbrjVDTfOyD8zyXYNw+ycyVHjMDvvzl+hNawO+m15zXMBaEUovKsjyhOEDiHbWpzU5AQhNWEVvqaRG/LPyD8TLnK12VbUqwInnPsKu1wtcekgpwJCju3y8usR6lXJyrDS7tPCjMcaavRjjTWwEmYBT0M8OxOSSI+ZxlAo6gdG1TlEVOzQZ0EQYkj3ZKFLQ0SmB57f+smPE/wntq43XS0YP+Mja8CwnXGFkziM1ELIdoUTstm3kdeyoQFAGUxzF71DOzb3w8o3x8OKGBazamO/IdKMu+uruJ41xzIVJZSTrZBz6/4+8zzUtfwJearX4wBmZ1GOIHQauewxmQ2S5IQuTVgV/6xM73ddEVgCgwwLgNFv4C5MmbcGphmBMtprHaOtyHL8OyG5wkliwiPbfq3biIDSobvQu2QfVr8zFju29IO2DNRpjQcbqq2PIk1GS3t5sFQ6mKnkxOzSYwxADTBMLM4fz7dXjaCNLRtmGWSUWmxtzxw5QehkRNZLEA4NIvJU6crvFKgCzPXOBQBMmLUW0+Z/yG5PC5TByWpfQNukZf9Mdb2rBLv4Z7tfsdsTwbRjVxlzTnoXjd46/kXNfqyJNKEl/anEE5rdv3R3CAWApru8+GpeCMWGSUuDywAAQRWUiVWFroG8kxOEQ6NYFf8pgohxWeDy+ISoRrhPuWWajh8h40kwW7mvVMnzgG99KzB03vukXBGtHdjbiNfiMkGDDJfljvV36W32xkT3JFTqyole5R2TxfEEocPpTlPtSJITuiREFKjQFVf1MnpjsndKrt1JiqE463l8DoXFwcUgEDzwPH4YDysIyRHtSkE4eMIq/A8LFtlEmI94CoxCzPLORjVXDw2q4Jxc+yMcyWQn6SWyXoJgg4iKy3X52QPMARjlHpVrd7oUFwcugQEDDH4o174IRzjyTk4QDo6QCj3EYCyJdbYQDuBXfizwLUAt1/YJGaGzcu2PcITCongiCAeFQUZpuS4/ZqRrJAa6BubanS7J2YFz4YILjdz4D5lYVcgZUpMThOyJd5G/Mrg06XZldJ3BOZZFOek15iEPTsk7FQ3cEAyp0FWH3wNBkKl2BCFrvMo7plJXTpzonoTeZu8220xXCybPXWXlB+tUFoklLpPldI+4DFdGIcx9O8P47LVpzJaplAN7GwacyX3pzVaL0cwM5vZnvCjvFHjJizquu5GI5HcsHF44y56V0lwpCICP/E8TCIuDi9us7zdwF0664GUMHLYDSkXVRxBNXKmSS6rB3KmSS3w9JXy2Sy5NjS68+9IU663np8PX7KcfBYoxxeWFK9GwLVZCWYz0iZcB4P2WRtxYW4692uJm5ja+m2Ti3Pxz0cRNvn5G/x+nP7wgdDwyTk4QsiCognMrdcXAWd7ZKDAKNQB4/Y2Yc9I7VgqFk1SPhhrtFU7sSSvx52ZfF7ezK6BoIPoj3baxBM89uAC7tvaBtqKu+EjhUn+B8aW8IhSSYrNt4rUnT7u/BtpKfCHh/xT3YaeO4De1ZerJxhpqZoa2JbtjfQusAAWw39r3QyJyp4iHIHQ4DGmuFISsYPB/DBi4OHAJAKD/oF18wrmvoFe/MkqjcBJPevbE1pogUtgT2ie2VIolCgBZlsJrT87mlW+O50iLC4nizAAw1HTjh4FiWuDJIzN+Sm3LOWgYwGvNDfSrmv3YZLVwCzMzMxQpuihwCVrQYhar4t8dyjEEIWukuVIQnBEyQmfVcm2fBb7j4Fd+AFCDR23TpssCKUfXqN3Gya8pk3ZkG9v6Wh+qygpIW0bafUwinOLNV2d6AzBSz4SQiF2UOa08WCVr/KWuwthhtXCsU6Wa4Z2BkAqjQld8hYj8Tk5IEA4ZlpqcIDiCiKiRG//hggvnBM61bXDcWeTwQM7fKhQoBcNZ55KDos7WZElEuCJ4BSxYKqzCt3fWMQWhHTKEQBAyE1Khqxq4IXhK3qlwy2ulg2KsZxz6Gf1RoSsuIqLCXPsjHAmIrJcgZISIVB3X3eglLxblnZJrd7o1S4PLoKEprML359oXQTgYiGgAEb1MROuJaB0RXZvEhojoJiLaSESriSijerskOSFnhFX4B03c5Ds3/1yYJPP3HgpD3EMwxByKcl1+kkFG31z7IxwBdHzHkwiAbzLzUQBmAfgKESVOK7UIwIjYcjWAmzMVKklOyAlE5K7W1T8OUADH+hbk2p0ewdLgMjAYBargsVz7IvRwOmE+OWbexcwfxP5fA2A9gJIEszMB/DPawZjfAVBIRP3SlStJTsgJxar4dy1ocV0cuARKBDs6hH6ufhjrHosKXTHdTe5hufZH6Ll09jg5IhoMYDKAdxM2lQD43PZ9O9onwjbI3UU47BCRv0JXfCWkwpjundFue79Bu1Dcp8xkdtzDkhEdEuC0R6NO+EyLy91iMRM51W3IJ6UZyKb9Ne6/I8p1xGxOIvUFAFcEloBA8Cv/k1kcXxCyJ/velcVEtMK2XJ2sWCLKB/AQgOuYuTpxczJP0rkpSU447BSr4tstWOqK4BWwi+h7/Q2Yc/I71rRjP2TDZNg2pUtG9oHgiZ/J4AS7jInL62vGcWe9joJwNRuGlckXDDHdSKGAkohd4SRxXSp7frixFk821iBRAQUAQmYI0zzTUKWrRgVVcFq68xKEgye7aXZiU+3sZ+ZptuXWdqUSuRBNcPcw83+THHg7gAG276UAdqbzVJKccFghoqJyXX5xf6M/xnrGxVYyho7ZxCec+yp69W2jcGK/+ScmI7tkVvw6tg+sTkxG9oRi2OzjCiiJycWePI1AQR0WnPGGmjBrLZlmBIBOLL+NwoldAcWV3P9ssKuzkF0B5TOrmRNrdZcGL9cKCkT06CEcUxBS0wmDwWPTRt0BYD0z/yGF2WMAFsd6Wc4CUMXMu9KVK13ahMNKSIXuL9fl8QlROS9Yp2ctXKH8gXqOJbdkD172dRoHEhOQvPlC2bbrFGXaSUymyZIsiIDBo7ZTv4F78cEb43nPjl7MWjFACklUVOIKKNNcXtxdX8W7dYQjB8pNJSdmT9T25NUuNpWs8de6SmO86cFFviA8RFoBlK/yeZ7vGLza8Er/QqPwpEqr8tkM5y8I2dPxY9/mALgcwBoi+jC27gcABgIAM98C4CkApwDYCKAewJJMhUqSEw4bBhl9GXziEHMohriHAACNHP8ZBQprici5zBbS603a7YD2tbyU7qXYrx0eXzNmn/C+sWHtYKxbflTGp9Teholv5IfUffVVWBFpYnYuPWb/TMmaSBM21OzH9wJhKlAGATDOz78Abza8gRZuuZeIipNN1yMIh0JHD/Bm5jeQ4XqPXcdfyaZcaa4UDhsFquAxBmNZtBYHACCKdunIgk6Ty8qWUK8qKEM7Sh5EhCEuN1R2/ju2bQSjSh9oQvUqL070n4R6rg+FVOjSLI4pCI5gnd2SKyTJCYcFN7mHVeiK6WPdY9HXlXZYi9BBnJ5/BjzwoJ7rbyHK8lFCENLBEO1KQbDjV/4nCYQrAhmb0IUOwkUunJl/Fhq5MS+swl/PtT9Cz4FFu1IQDpCv8qdW6apR0zzTEDJDuXbniOJ4/wnIozzU6JpfEYl2mtBxSJIThBgK6lEFhUuDl+falSMORQoXBC5EM5rdYVX8i1z7I/QgpLlSEIBCo/CkGq4pmec7BvkqP9fuHJEc7Z2DQlWIKl35LSLy5tofoQfAOJjB4DlBkpzQaRARtXDLvSZMnJ9/QbvtXn8DivvuV1nIdwHRrv7Zdofv8O7zWhO2beyvrYjh6DfUyBrvNzeyld1vzj7eLy19lYFiZRjJhgoQES4LLEYEESOsiv+SxfEFISXdpblS2uiFTiOkQpeW6/LQKf5T4VW2CgQxhh21mcdM/ZQM04oPes40ji0+qNs+SDrdL8dC+4HV6RJMfJB5fKC5TuVT+d5CLH9lMjfUe+JlU8Lx2rC6uRH/bqhGQ7Qjtf0Yqfxnm03a2LgAnOzJ1/M8fmUe8Ds+OL2VSd5J6F3bB/utfUuI6LqYyrsgHDzdZOSlJDmhUyAi8pH/Vg88OD3/jNb1waJqTJ+/UvsD9UiicJIquSQmtkStx0wJMp0Civ17KjkxAoCWZhNr3h1jfb6pv6Eto53CCRISV6W2cF99lbXZalEt7Qewp0q8yeTKktoPN1y4zF/AflLsio4QSDxGm9hcGVyC/6v4NRWr4nsAnAFBOAKQJCd0CmEV/nqZLvOdn38hu8hFyrD02KkfY8jobUoZOpXCiT1x2BOeE4UToG1tLNHeXq69phQnMdm0qQXu2NJHrXxjAiItJpiTVghb7TWzfqO5Xj3RWEstSeS+bMeLH9/CgaSWyr7VXz8Rn+8N6jEuj+GOjn9zFJuR7pE00BxEn0e2nW6S2SvCkX0O9hOEJOS2CTIb5J2c0OEQkVmja36VR3k4wX8CAcCwMVto6FFbyTA1Mkh4qRT/T4X9Bp8qQSTa22tsmY6h6mu9tOKVyWhpdoNZZZQT+zTSTLEEhwzl2yXEnMh4KQA4xxvAeJdHuTOP724Xm/jEqkEVfCjTzoKQis6eT64jkSQndDhhVfyLZjS7Lwhc2DohqmFYpIysrvR47cYpWc3Jlg2WZRAp59qPLWBFQCSLQ2Tlt5eUZWSnYBKv4aLUVYqRrlGo0BXzDDIGZNhPEJIjvSuFIxUi8lbpym8VqkIc7Z2Ta3eEJCwJLgUABFVQJlYVDh4ZJycciYRV8V8iiBiXBRZD5BK7Jr3MXpjknoxKXTk+T+WNy7U/QvdEmiuFIw4iClTo8iW9jT6Y5J2Ua3eENFweXAwCwYT5eK59Ebojol0pHIGEVfhuDU1XBkWEuatTYBRgtvdoVHP14AKj4Nhc+yN0MxjgLJdcIUlO6BBMMnuV6/IzB5qDMNI9MtfuCA64KHAxDBiw2Hog174I3QvpXSkccQRVwX8ZjKW2CVFbIUZhcWW2c1Nne2126q8o26ld2dnYNZu5c3SKgXppSGrvV34c51uIOq7rXWSEzsmyTOFIR1N2S46QJCccMgYZAyp0+dyRrlEodZW22RYsqsbCs17Tvfrvjw/udjJHMNs+LYduxMvNZB+344TvqbDyg3UYMmobK8OCg4YXa6Tp5lGmh13OkpfGgQHqjmLzbFMdl2uLW9jxfMspY3N24By44EITN94pE6sK2SA1OeGIoUiFngcOdE0HAMOwMH7mOmv+6W8iUFhLpsmKqM2g52Q36PhNOJn6R7KEoW3rnVzL9jISFVBSQgRMmPURHXvaW8gvqGNlWMl8b5Ud85CiZXmFaqm/kPKJ2EieeBPlu+yxSWbfGpsdOmL8smY/vdhUh2Zm6OR1ZEexcZMbp+WdjgZuCIZU6Iup7AShDSxJTjhCyFN548r0/lGT3JO5l9kLALh3/3048YKXeMjorUiicOI4ucSIX6P2mo49QST+euxyXPHEkJg8E+0Tk4tl86212bEwXI3jz35VjZn6CRlGBIC2+9MuoYx2efCjQC862u2L6+fZa6jJRKYd3wksAM821anf1pZhuxXh5gOJzp6A08WmtXZ3ct4i+MiHOq77IxFl08wqHLFI70rhCMGE+TiBcHlwMQFAv4G7MfP4FfD6mskwON0NM55c7Df8dPbtlPWTfE/cdrC/rJT7kgJGjNtMx5/7KoqKKxFzPaU8mJsI5/iCxnX5IRRQq0kmvcnE2RPs69qwX1v4Y125+k9DNVnMsFXqnMiJAQAZZODc/PPQxE3esCr+YZr9BKEVSXJCj6fAKDi2mqsHH+09GgVGAQDA628kInb6Hg2wSU45ID6ljdPrNm7ntHYSt8tYvj+/EeNmfKwM03Lkf4nhwomePErRdJkKx7FZ3tKIHVbEIqJsY6MA4BjfsQhQANW66kdE5M7CR+FIRRRPhJ6OxdaDBgxcGLg4167khGy7aXTlbh2KFC4JXIoWtJhhVfyHXPsjdG2YAdbZLblCkpxwUBQZoXPquK7Xcb6F8Ct/rt0ROoBp3ukIqzAqdcWXiSgv1/4IXRtprhR6LERETdx4pwsunB2Q4VU9BSLCFcElsGCpsArfkWt/BKEjkCQnZE1Ihb7YwA3B0/JOh1te3/QoxnjGoL9RggpdcQERFeXaH6HrIjU5oUdCREYd1/3RRz6cnLco1+4IncDSgmXQ0BRSoX/n2hehqyJDCIQeSlgV/7CJm7zn5p8HI/WQqmyu6Gyv/s77tbjtw+Mc49gfr68JRM5/7YEsu6p4s1AsIdIglbw3wGDXYAwzh6FCV5xgkNEvGx+EIwdJckKPg4jc1brqRwEK4BhfUuF6a/+uMCLNLmVZ5KSrvH04gJP+V/Yu9U6ykdMB58DoCtC1a4EhNQzTclR2oLAG/rwGpFBAaUUZFsbN+EhffspKFPoiyqV02tjkEeFKX4F1oS+oPCBQhmEHYWXg2rwiK6QMio2TS+t/UXElTjjvFR4yektMqqw9S4LLwGAEVVCm4hHaw+g2QwgoW9Vc4cilv9n/tl3Wrqu+GPwSpvtmJG6Oq2gYhhnB2GkfW4NHfm4oQ3OC4okdCwfGpsUTXjJbHdvGtu3xxJLsQc1ebjv/2qwNNkOdtdVCaa0iNxMzwB8Vgh8fCDQrC1olq662Hps1sPGjIbz+/ZFkWUoDqo0/vfrvx7RjVrLL06INg42GFoX/e6O/de+a3kaTRZw4sGC6y4tzfAG4QJZBZNRqjQcaqq2PI01GS4ITCsBCj18f78lXJqDVgTFy8YeBNmWbZgTjZn5kDRy2wzDM6CmU7y3E8lcmc2ODh7VltPH9hoo/YG3zWnjJO7pBN3ySJA7CEcrYoj78wHGXZLXPuP/e8D4zT+skl1IiSU5wBBHlGTCqC1WR+nXxb9gm5psyORWEqjB9wUrty2uAaerEGluqVoTEZBSvjSWzjyc9nbA9WZID7MmSmGjmXqbjdhFMrUm1Lf9rV+3HlyaOtkZXlRqIqPb7J5zvP5fvxB/e2AQrosAMHBuYjXNmuayfvv+M8dpVxwMAHlr3Oa596n1s/sYZ2FCehy88mqc37H9E+T3XoVgZuMxXoPsZJrmTNDt+0tKEfzVUcQOztgBjkOHC5b4gB5XBrvQDwC0ARr+BuzF57mq4XBFLJSjRaE34ZNUw/enq4UpbKp54uSJSTt8p+zYCFPy0SleOSnMM4QhjbFEf/veCS7PaZ/zDf8xJkjMP9wGF7klYhe8o02XqyoIrkUStPmlNraq8AC/891g1bMxmHjvtYyjFcR3LTHJcid9T2Sc2XcaTT6qXha06mOqqTwi9G5hcnFSS60+3FwPYb/C2BugHBzNq3ARQMr1JvPDZbty5Zj2eWnY0uGwI1q4aiJ2lD+DYCYOw/ZV61DS1IOBx4b0dZRgRDmD1nkpM7a+wbMo69dC6MFSNics8IZgAVIr3aqNcHvzI7EVPNtaAAJziDSCWDDO2A02asxoDhu1g09RJY6MU46jJG9WAYTux4pXJXLG/gABwkRmi6Z4ZeK/p3ZEBFZxRo6vfy3Qs4QiBczvAOxvknZyQESIqqtAVF5QYJTjKPca+KVWN6QBM+GzdUPrso8HxhjknjfMGspO/MpCkdpWKy/7zlpp/7gbMnv65uuv26qQ2p56wCyvfb4IuqcVXP3id5tz+PObe/rxx83sb2tne8PYn+Olx49E/6EPJkN1YeOoKXDl1sGUaZEzuW4T3d5YDAFbtrsCyqUOxfHsZAGDFjjIsnuTHT6aXwU1glUGSy02Es31BY5En33I772Ni9O6/P57g0pIfrMexp7+piBhRlU7g0uBlUFAg4GGnBxSOBKR3pdCDCKnQAxqalhQkmRDVIVZL1o0GndaO/qdTp+GVt0vw8tv98be/VKO8LHU+XbOqGbv2tODN/1nIb1x1Ai6ZMKidzfp9VZjU98CQMtOlQRT1f0ZpGMt3lKOuOQJFhDkDe+G9HdEkt3xHGWaWhpHvzu6R2KNUtrFxbJ+YO/NUHo71zUcN1/QvMopOyfK4Qg9GkpzQIzDI6FehK44fZg7DYNfgXLvTIdy6YiPmTt+B4+ftwo7tEXy2MbFLxwEGDzGxZVsLvvvUKnrxs90IeFxZHWtGaRjvbS/DB7vKMblfEYYU5WNzRR321zehrtnC4KL8Qz2dTue8wPkwYaKZm/8lE6sKQOxFuSQ5oScQVAWPMxhLggdfi+tKvLF1H17dshfPvdoPb64owfhJHjQ2pq7oFBYZeP35IZgzuJjv+OAzXPvU++1sRhcH8eHuiqT7T+sfwspdFXj38zJMLwkDAPoHfPjvR59jemmoY06qk/GQByf7T0Y91xeFVGhxrv0RugYdneSI6O9EtJeI1qbYPp+Iqojow9jyYyd+SpITUuJTvlGVumLqOPd49HX1zbU7HUJ1UwsKvS74/QqfftyMFe82pbUv229Ba8YZY0rw/WPGYvXuynY2180ehZ+8vAZ7ahsBAE0RC39bvkEBQMDjQknQh/vWbMX0kmhSm1YSwt+Wb8SMWNLrDpyWfwY85EE91/81i+l8hJ5K58wMfheAkzPYvM7Mk2LLz5wUKr0rhZS44XmsCU24InBlrl3pMBYO7YO7Vm7CnGnbMWKkC9NmetLa79wZwVeW7IHet4fAhB/NH9fO5oTh/bC3vgnn3Pc6GAwCtXl3N6M0jKc37EJJMDpbw/SSMH7x6rpuleRMMnFW3jn4d+19/rAKfxPAb3Ptk5BLOr4JkplfI6LBHVooJMkJKQio4Ixarhk5wzMTReah6/QqI+v+xtn9gogdqSp4TAMPXDgH6vqVaUWznnz+gJrVq88Ogf7baEaLkXKPSycMxqUTBttXtbaB/vakyfjtSZNbN8wd1Atl3z+39btlZV0xyio22UiJpWOhfyGeqHsMNbrmF0T0R2aOdES5Qjclc4fdzmA2Ea0CsBPAt5h5XaYdpNlBSAoBDysoXBq8LJUJI9p1P0P2YgwcsY2HjdmMmO6Ak55+7ZVJUuGxQGdtsTCqkhzJcQWboRZvsACA2eEwhbyIhsmEDHJcNhzFhhnYuqEEG9YMA6KJq0NjY7paMHnOKsuX10jMjntYWoHC2qRSZYoULgxcjGY0u8Oq+JcOyxN6KAfRXFlMRCtsy9VZHvIDAIOYeSKAPwF4xMlOUpMT2tHb7H1GDdf0X+A7Dnmq3dyZyRROko5Ryw/WYtqxH+pAUQ1s47TSKZjEtyd+T3JjZ+CoSqgztgFuCzSxHLwyDH6mFGhRFjhBPZoYUYWTnQSTKWHMXqoxdhqAIp9F6tq10E8PANYVwaaAkkh83GDiubYru7bajxWvTNZVFQHSltHBsQH6DdyNKfNWwzQjieMTU41tjPtJC858A5+uGoZPVg+HtpSOj5kDgNne2fhv7UOo0pXfJKLrmbkhha9CD4Zj7+SyZP+hKJ4wc7Xt/08R0V+JqJiZ96fbT5Kc0AYiIj/5/2HCxHn559tviPabtf3qbienRUpj1MQNeuT4TUoZmhK0K+OyWEBbOS57grDbt0+mwWaos7ZYGFCnYoolBgDQlDLikVXQjw8EPgsyIiq6b596qPM2axQ2I0HhRNnKTXas1vXk1TDO3mrw1P3QDw1m1LkYEZWpJcSeTCwARoKEFhJGph1MbNokaq+/EVPmfWiF+1SoVAonSYjX2giAUooxevJGVRpVQEF1RT5blknRQBAWBy7nm6puUmFVfDOAKx2ULwiHDBH1BbCHmZmIZiD6+yjLtJ8kOaENIRVaXK7LC0/LOx0e5UlWI0l708wL1GHuonfY421GTAQ42eNexppOAq2JlsaXg07fGq2Nqfb7UX4ExsWbDN4YgH54MNPMvUyz96pY7S3VcezJpbVGgyTnSgProL72EfHrfZjf6AtERZaRyt5OXY0Pbzw9ixsbPNCWET9uu0PY/HASm9ZEXTJkB0+Zu0YZhpU0NjGSaYImlQeLK6Bs21iCVW+PhRUxGSCa4J1EfWr7YJ+1bzERXWN/whaOHDpa9piI7gMwH9Fmze0Argfgih6LbwFwHoAvE1EEQAOAi9iB+LIkOaEVIlJe8v7VQx6clnc60PYm7OT9rdG7ZB88viY2DHZkjwOK+U5qHIqO3sPk5oz+0PAaqGvXEgwQGQxkThbJaqnJDU0GLditdHEj+JHBgOVogLSxd2cxGuo9zNrolNgMH7eZTZcFOPtb2RNbSv+JgEEjdqC4bxmee/C4VrslwWX4dcUvKazC9wA43cHxhB5GJ/SuvDjD9j8D+HO25UrHE6GVsAp/s5Eb/WflnQOT2jz/dJqMVNZlk6N556KmbkYswXUKVNACGFk/z3ZabMjZnHwHhdvbArKpiQ13D8cgczDKdflpJpm9Ouu4QldFtCuFbgYRuap1zS/yKA8L/Qtz7Y7QDVgaXBqbWLVAxJuPQCTJCd2KsAr/sgXN7gsDF0OJoIXggBJXKUa7RqNCl8/xkGdIrv0RDh/x3pWS5IRuARH5qnTV1wtVEWZ7Z+faHaEbcWVwKQDAp/yP59gV4TDDmrJacoUkOQFhVXxzBBFjcWAxRGReyIZisxhTPFNQpSvH+pV/Qq79EQ4fUpMTugVEFKzQ5Yv7GH0wwTsx1+4I3ZDLAotBIJhwPZZrX4TDhXQ8EboJYRW+R0NTmql04gonGckP1mL4uE2sFDuT5BpQC0zba8DQDnoRMnBUBVDcaDA77kVoH1jthLhdRn+4zoR+ua+F5owDwlvxeJo1kUO5sij28XsZaaj3GpZFnRIbpVgrpQFwO/ugEcQc71zUcPWgAqPgWIfHF7oz8k5O6A6YZPYu1+WnDTIHY7h7eOLmZBJSSbUbSWmMnvyJPu6s15EXaLBreCTXevRGQGdtsdTiDVCnbAcW7gBcGqD2N1AArXqT6pwtTCa3zrqdxEc72radM9gm2qS0Zwb0yhD0jWOBLUHEhpjF5bXS+YL+g/dg2rEr4XI3gyitDmZ8m/3OkK58CwAvf2UyNq0fDCuikEGrMjE2mWDD0HzcWa+jqFcllNFeI/TCwEUwYMBi6z8OyhO6OTJpqtAtCKrgw9EJUZcm3kDtN8F4zSNRQgoAEOpdjhPPe5lHjt/EhqmRRlUE8dqYunYdaHw5yMUgBRhH7yP1lXXAwFqGaavVEYNm7WH11XXA4FqKSXLZfUqWXOwJQtns4wLIicnFQns1l0SpsujByjzQt43S/OQARrMBmz5mohwYUnxXJYP34KQLXsaAYTugDEd6z4kKKMnKJgCkLQNr3xujXnl8Dmoq8zkSUcn+rnF7e2ziZSWLTdzeyA/W49jT3lKTjl5DpqsFsCVqn/Jhof94ruO64pARusDJiQndm+6S5MiBKorQA/GQZ0gzmjeNdo3Gt0LfsTdJxpNBuqtSG4aFiUevQemQXSom35UORl6LVudtJpTW2ZNVWyMG+KNC8OMDgWCzpc7frFDYzORKq54S99Xe/JauSTCuAxnfL5Vgcas9Mwx+tS/zG30JEWKknaSnVaUkndAyAKBsbyGWvzyZGxs8zLpVx9LJ3cCy2SU/BjGGjt7CY6d/TIbSGgQiyhibuF5mxtg0Nbrw4ZvjrV2f9zZYKwaIWrhFX7v3a0qRUdPIDQVOJJeE7smo/BK+ZfxXstrnuHd++P6hCDQfLFKTO0KJd/mOdQFPFP/NqJfYp3SvKh2yixwkOAAgmrpfYVCtSpXgokaAGlsZremdu4VQ3EQZEpzd15R6kwkk1r4y25d7wK/3pejsAxm7n6bUgkwk3LsSJ573ChX3LSOn+8SI18RSx4YJm9YPoef/Mx+RiKliNexM52p/0EE6e4+3BTMXfmBMmbeq1d5FLnVa/ulo5IZASIX/x+G5CN0S6XgidGH8yj+hSleOneKZgmKz2L7J+ZM3AVl0AAEI5HSMOfksqD6NOsvRDJ1Xa2AcjHyXo7ZIZTB69SvP9g7gOO6N9T40N7k6Te4r3KsShm0ev5P8J8NHftTq2t8TUTadbITuBMs4OaELY8L1GIFwWWBxrl0RehgGGTg//3w0o8kTVsU/zrU/QucgHU+ELktQBRfUcPWgOd65CBrBXLsj9EDm+uYhSEFU66ofEJEn1/4InUNU2sv5kiskyR1h1HLt8wTChYGLcu2K0ENRpHBp8DK0oMU0Ya7MtT/CkY0kuSMIN7n/wmCDwbiv5h5o3WmvaoQjnNGuowAAEUSOIqL8HLsjdAKaKaslV0iSO0IgIjLIvNyAAQ+8eKvxLVy7/2tY07Q6164JPZC7au5s/X9Yhe9MYyp0R0TxROhqhFToK43cEDgz/yzc2OsmzPYcjQZuwI2VN+B35f+Hel2faWxcG1iTBjm8frwRYGQlZ1DhSCQ+ls0p9rFyHYvB7HD27ziZxqO10tJsYufWPtn6nVVsrIihsoy9Y5TBYK3axKYyUoGVTR/AT36UGKUo1+XnEVG4M44v5AaWIQRCV4KIjFpd9zsf+XGS/2SYysSywqtwfeinCKkQPm75GN/Ydx29VPdi/EaYqfs77/68N29YM5TTS0gxMKY8Ou6tb4OGs67vdrkpu/JKKuK+xhVBMh0jrnAS3yfTuWoqagadtg1wWwBxxtik+GzHji198OwDC1C5v6CzYqMBYPnLU7imMp+t9gooidjPzVFsfHmNPHnuapiullapsturbwMAnB+4AEsLloHBCKnQgxnKEroZkuSELkNYFV/fjCbPefnns2EbujTANUD/X6/f4Yy8M1lD497ae+j/7f8h9kf2AclvoK0yT8zK+HjlKPXSI/NQWRZsLyEVbIa6YoOlzt7K5LNABgybOHGqG6j9xq1wYJA6UtjbfYwPkI7bJ97QE23tn4nb7fsTAFKTo8kaoyqB5APgE+XE4r+tdnJcDXVevP70TOv9VydzS7MbgDIASidVFvcn29gwAFRXBujFR45Ra5ePpkiLAdaOEmpSGTebL612A4fvwInnv4x+g3Zjj96Oj1s+RoEqwDzfMRjkGoThruGo0BULDDJKHBxX6CZ0lyQnsl49HCLymDBr/eQ3f9frDzo263dcuqm1Wa1aV+PGihuwNbIFBMJC30JckH8Rq6j0fPwGnELmiTFwxOc8YdZHZJgRS83eq9RxOwkma1IpH6TsElLxY6RrMrUfOy5Dlu6XY7eJ35TTPdTZbeIJIqk9fxaA/u9gRqOhYakMsbHtp2F9tn6w+mjFKLIsQwMph8fHY5Pok9PYpPTD62/ElHmrrHCfcmWaOh6bTGorjmNzzN9exbry/fhK4f/oyZ5pCgD2RHZbPyz7gVGoCldWWBVT0hxH6CaM8A3gPw7/Rlb7nL72GyLrJXQ8xar4xggi5qXBy6BI2RNDG5mnoAriR+Ef46rg1TDhwgsNL+Cb+79OG5o32G9+KW6ehG0bBtJzDy5AdWlEqeN2gdyMNAkOaHvtJcpJJcN+7EwJLm5vP9dM13pibFLa07AaqGvXEsZUkK2Sk/Ed3PbN/dW6FaNhWSbSJLi4L3E/nEitJcYmJY31Xrz17ExjxSuTSWsCsyM5MUexeX9nGdaV78eggjycMbY34rHpY/Y1xrvHo1JXTvYp3+gMxxK6Cd2lJidJrgdDRPkVuuILxUYxpnimtq5Ot88s3yzc2OsmTHRPRg3X4DcVv1J/qriJm3VzxuM1N3qwdUsp6Sxkp3CgJuEUuzixU7LRhHRm6Gao6fsV3M7HYUQiBmUlhdaJsdm1rS8iLUaGWSPakNHuK0+sAAD89bSpGDr6c2WaVuu5Lg5cCQLBDffjDo8ndGGk44nQJQir8J0WLHVlcAkoi86BbuXG14q+hu8VfR8BCmBV84d03b5r8G7DO53ordCdeemz3dhQVouxvQowa2CvdtuLzCLM9M5ENVcPD6jArBy4KHQwkuSEnEJE4XJdfl6JUYrR7qMOqozh7hH4ffEfcbzveG5BC26rvhU/L/sZqnV1B3srdHeue/oDAMAtZ05PaXNx4FLEWrAfPjxeCZ2JDAYXckqRCj3IYCwtWHZI5SilcFHwEv5l+Nfoa/TD1sgWfGvfN/B47aMd5KnQ3Xlw7TbsqGnAzNIwxvQqSGmXp/Iw37cAtVzbt9AoOu0wuih0NDIYXMglBhklFbp8wXDXcAxyDeqQMnuZvfCL4v/FpbGn8UfrHsV39n0L21u2d0j5Qvflhy+sAgH42+mpa3Fxzg2cBxdcaOHmuymbNnShSyGzEAg5JaiCjwPAkuCh1eKSscC/EH/odQNGu0ajXJfjJ+U/xh2VtyOiIx1+LKHrc+vyDShraMbCoX0woDAvo72HPDg5bxHqub4wpEJLDoOLQifBOrslV0iS62H4lG90pa6cPN49AX3MPodcXqCwGkRtZzz0Kz++FfoOri28Dj7y4e2mt/D1/ddiddMqFI7ZDTIyzuZtJ9tHvC5zzfJeHxDJtjaSlX225+rY3u1phmEc2p1Ha43/fe0jKAL+enr74U/Myc/11LzT4CUv6rjuz+R4Kl2hayG9K4Uc4YbnCQLhisCVyTbrhM+USgAudwumHrPSOuaUt9F3wF5WhtXOdrxnAv5YfCOO9kZ1MG+qvBFf+/vTXFNrOZHXSvTDqayVY+mxhGNkKj8xJiljw40K1sODLH66FNDkVE3B6jdwDxeGq2AYESf7xBVOOjg2jAHDtuPE818CKa1jWhAHFZvfvL4etc0RnHPUAIT9Xru9VRiuQp8Be1gZ7V0xycRZeeegiZt8YRX+ToZjC10Rlo4nQg4IqMCsaq4aNtM7E4VmYeJm+03QLjmlE836D96JE89/CaVDdsHtjWDW8e+rWQtXkNvbxEpZbe5apqnwq2+P5dfeGogBAwy8+UYDjSjdqm79a3U6yalECax08lpxe4azQd1IOKeU8lopjmmXsmoTG2ZAryuEvmEcsKYIsBRsg7pTSZXFyyavr5mOPe0tNfHotWS6IkBM6zGF78likywZJcYyJXmBOhx7+pt60pw17HJbUAoqVtfKOjYRrfWf3v0UpiL8cVF7ERNlMGYet1IdfcJyeHyN7a6b4/zHIZ/yUaNrfk5ErnR+C10PeScn5IqHFRQuDlwKHLj52W+CiaocbbQefXn1mLfoHT31mFXs9kSgDG6171O6Hydd8BINHr0N0adz5sKxu3Dii7focd96hSdMNbBm40D88PpCWBbwna+X0fTx27F5czPQ9kaZ7KYZ9yW+PVlNM/FXkkzrsY3eZBL7xMSbLkG0iQ1XuaD/McLihwcxGk1Aq8RYJtN6TNSbBBEwaMQOnHj+S+g/cA8Sajr2ZJMsNvay09EmNkQaoyZ9qhee/RqKwlWIyXkl2mcVm+89t4qaLI0rJg1hv9uM28d9a41Nr/5lOOn8l2nomC0Uv24AQJHSFwUu1s1oNsOq+DcOzknoYkiSEw4rISN0ei3X9p3vW4A8lbkDgA0CAI+3Ccef8xpCfcqT3QQBAKapMXHWR8axp72Fknkbef5/70JgaBkZ3kjrdfTtHxTh4y0DMHmqGxs+bcHUMTuM731zP2mt7TfvdBJYySS70tkn87WjflEEAFxnsP7LGGBrPiFipCs78feUsnbl8bZg5sIPjNnHL4fpauFYfsgmNu0SSir/Z5+wHKMmfAbD1Jmk1hxR2xzB3as2k9dU+OUJE+1/16SxMUyN8TM+VgvOeAN5+XWt5zrTO0sVqSJU6opriMh3qH4JQjIkyfUAiIiauOmfLrhwbuC8+Goj4TMtbm+zYgYrBzfBwnA1ZpzxrjIMy0omC9Wrt4mX3yrBbf/sBY+XcMufazBy4Of0zlsNjk8JQATOk1VcONjp9ZxVbNBgRsWj2XEnCYJDia3eJWUYMX5TtnPhZRWb/II6bZi6w2Jz3VPvI6IZX5s1EqZSjmMfLKrF+FnrlWFaFqKXLRYHroAFywir4lsd+id0EaQmJxw2Qiq0pJ7rCxflnQIPeQ6+oGyuQwe251+Yj617BuK0M/3Yv0/j5AW7cfE5u9HYmMP+xIcPx0mLHPddyT1l9Y149OPtCLhNfGfOwSnp2BnvnYC+Rj9U6PJLiSj1SHKhi5FdpxPpeCIcNESk6rjuz17y4pS8U3PtTjvcboV/PdAHz73aD716Kzz9ZAOG9N2GB+6rybVrwkHw5cdXQDPwo/njEK3EHTpLg0uhoSmkQvd2SIFCp8Oc/ZIrJMl1c8Iq/J0mbvKdlXcOTDJz7U5KZszy4pOtA/DV64JoamJcfeV+HDtrB/bslkHk3YWtFbV4cdMeFPs9WDZ1WIeVO9Q9DIPNwajQFacYZBz64E7hsMCasloyQUR/J6K9RLQ2xXYiopuIaCMRrSYiR3MTSpLrxhCRq1pX/yyf8nGc/7hcu5MRpRR+8ZswVn5cilGjXVi1shljhn6OX/+8IteuCQ744uPLAQC/OmFih5e9NLgMDEaBKnikwwsXOoVOeCd3F4CT02xfBGBEbLkawM1OCpUk140Jq/BvWtDiuihwMVQ3Eo4YNMiFd1eV4rc3hmEYwK9/UYlxw7dh7eqmXLsmpGDtnkos31GO0qAP54wZ0OHl93eV4CjXGFToillucg/t8AMIHQqj4weDM/NrAMrTmJwJ4J8c5R0AhUTUL1O53efOKLSBiHyVuvKakAphpvfQp+cyXRGobDpA+CKHfPV84UtBbNwxCMfM92L75xbmztiJLy7Zi0hEAx03DKBj4C4lP9ZZk8am5EuxWtwNpyRtIeoQf64MRqUs/cr/RJblCYeb3LyTKwHwue379ti6tEiS66aEVfGtFixjcWBxqglRM8pTxTeXDNmBOSe9C2VoQiaJJ2LQ0btZnfQ5EB0snkleCwk2beyDQYXHnu2HBx/tjWCQ8O976zCk3zY882SdfUBzJrLtrsm2JTPBZqCwGTAdzQJuH/ztKDbF/cpguiyi5Aoo7exxoHu/I+m0zz8rgRVx/FNvF5u3tu3D+n3VGBkOYMGQvqn2cRSbwnA1XK6IUspqZx82w5jqmYoqXXVUvsqf7NRhITccRHNlMRGtsC1XZ3nIZDe6jL9hSXLdECIqrNDll/Y1+mGcd0LiZrtShf2z3Q3Ul1ePeae8rafMW80utxWXDm5V+Wh34L71UF/5SNOCXUzudlLDTmShUq474eQ8bNk9kC9ZnI/aGsZF5+zFqcfvRHW1TncDTaZwks7eHhv7PqmSiwWAyc1QX14PWriD4LKQRlPdrnASPw6QITbh3pU48fyX0K+9AooTUpXdGpv1H4yi15+ehboaH1sRlXVsvvrkCgDAX9tOpWNXOLHbp42NL68RJ57/MoaO2QK7Akqcy4KLoaDgItdTKcoRugQHNYRgPzNPsy3Zjo3cDsDeVl4KYGemnSTJdUNCKnSvhqalwaVAdoOIAQBEGsPHfcbHn/sqQr0rEhVO7DfmaNkuC7Rom6WWfQKEm4hcbWYZSCavBbTVmzQS7OODn+13dK2U4r/e1gtvf1CCgYMMvPl6E4b136r+9pcqZSszTioJrEw6mE5od/MmBajZ+0h99SNgSA3DbCNYnUoCK5VGaLvY2BVQPL5GprZaj/bkaY+lXQElMTZxCAAq9hXh+f/Mp09WDUckosDaWe33iY93YGtlPab0K8LkfkX2shMVTtpfNwd8j29XQFsFlGBRDSvjQK0uoALWHN9cVOrKvgVG4fFOfBQOP1HtysPeXPkYgMWxXpazAFQx865MO0mS62YYZPSp0BWLBptDMNQ9DGjfLJlKqcIAAFKajzvrdRw15VM2TY00CifRZJTfAnXtOtDUMpCLkUzhJEaiHFdKmSfb9sTvCgBGj3Fj9acD8f9+Wghm4LvfKMe08Z/HdTDt9qnO1Z5c7J9pY5PEvl1sqKAFxhUbDTpnC8ETQUIedRqblLa9S2Jaj0dtJVBrZSlTLNu5mcx3ZoVPVo1QLz18DMr3F7LWAHP62Hz7uZUGANxy+vSMsbGVk+xBo53/waJaHHfW62rc9PWkjAOxvDD/QpgwYXHk/tSnKOSaju5dSUT3AXgbwCgi2k5Ey4joS0T0pZjJUwA2AdgI4DYA/+PET0ly3YwCVfAIg7HswISo8b+ho5ugy91CeYF6mE5lnoobAZfWZLITCSx7rcJJ+fZ3eu38/9b3ivDx1gGYOt2NjZ9GMOWoHcZ3vr6ftaNXYwCyjI3NLqPvakwV6PzN8fd02cYmrb1hakyYuV6VDN5txSuSDsp3+n4UdTV5eO2Jow0rYqR7aME/Vm7C3romHDOoF4aFA45jYyNjbIiAYWO20tipn4CUtgAYXuXD8f4TUMd14ZARvjiL4wmHC+6U3pUXM3M/ZnYxcykz38HMtzDzLbHtzMxfYeZhzDyemVc4cVWSXDfCTe6hFbpi1lGuMejn6p9rdw4LxcUmXnyjBHf8qxd8PsKtf62hEQM+x1tvONbB7DTIrTv1F+R2d+ZA+fRP11pr/PTltSAAt5wxoxP9iOJyR0C2avGZ+WfBDTcauP5WStGzSsgtMjO40OHEu1bHu1ofSZx7fj627BmI087yc9l+jVMW7sZFZx8xOpiHnRvf+RRVTS04bVR/9Mn3Zt6hg3GRC2fkn4lGbswPq/A1h90BIS3Rd3Ii0Cx0IPkqf0qVrjpqqmcqwmY41+7kBLdb4V//7qOjOpgGnnmqAYP7bsO/7xUdzI5Ea43fv/kxDCLcdMrUnPlxgv9E+MmPGl3zG6IurFl3RCICzUIHo6AeUVC4LLg4167knKgOZim++vUgmpsYX1yyH8fOFB3MjuL6l9egIWLh4gmDEPS6c+aHQQbOz78AzWj2hFX4pzlzRGiPCDQLHUmBUXh8DdcMmOObi4AK5NqdLoFSCr/4dRirPh2A0WNcWPVhVAfzVz8THcxDoTESwW0rPoPbUPjtibkfjz3XNw8FqgBVuuq7RIcyj5RwpCJJrhtgceR+EyYuzL+wA0rrPnOXOWHAABPvrCzF72+K6mD+5n8rMXbY4dHB5MSh3x2MdqDc3tF885mVaNGML04bDrd52G8P7U6YiHBp4DJEEDGKVfGfDrdDQnI6Q7uys5Ak18UJGeGL67gufIL/RHiVL5lJvNt4xh4Yvrx6zDzufa0Mbd8vPVVuDYJyOngY0evfgLPbf9zWKfEu6e3KXvbFIDbtGoT5x3mxY7uFudN34gtX7OWYDqZT362Ez5Twbh/40UEaLUplUb6j2DADWz4txbaNJUYWWTRlbFJg1VQGYFdAqWxsxgNrP4ffZeDH88e2s0/4dOKP49jkBeuYCEayhq3JninoZfRCha64ioikKaOLIM2VwiFDRNTIDbe54cYZ+Wc63a3d5USkMXx8XOGkMlGOKxXRm1mFh/SfxwBb85lb0io421U84n6ku8El1oMSFVASSaZw0sY+P1/hkaf74aHH+6CgUOHB++toSN9teOrxOnsZqcq2l5vaiWaC9VSppW8fBVR4KLZLJh1Mx7GprfLjlcfn6NVvj2Pm1nHVmWKZTEosYzJ6/alZ+NimgPLVJ1ZAM+O7c8fYJ0R1HJsYdoWT+P6ZYoPivhU0P4kCChCtzV0ZXAoLFvU2et/j0A+hk5HelcIhE1bhaxq4Ie+M/DPZRS77pmQyT0klpArCVTj+nFf5qMntFE7sKh/pboiEajf0P0YY+r+DiRsMsJVUQipRlcOu8mG/abWTebJ9TywTaDtY3Emtz1p4op837xqAy67MR20t45Lz9qpTFu5EZaWV7IZrj2Wy2LT6zhsD0DeOY7xfDEQUbOqddpWPtPJatuO0iY22COs/GKFffOQYVO4vIMsynEiVpZITS4Vdb9JgVvg0poCyfquLn9mwC4VeF746a2Tc3nFsbOsSk2Kq2LTDroBimBHYR1eNco/SA8wB2GftP52IjszuxV0MzdktuUKSXBeFiMwaXfMbP/lxgv/EuNaj/aaSUUJq3IyP9LGnvoX8gnpKo3CSKK6bQuaJgPVF0DeMA68JgVtaJaHSyTwlPs0nuwnaSXcDTUYyewJASin8+W+98M6HJRg02MBbbzRhROk2dfOfqhITb7oEEa1GWYB1/xCt7x/GqHMRLOUk2drPNZl9a2xqKvP4uf/M50/XDIO2DLSTvo6SSgczFSljk2hYV5OHqx5aaTCAn8yfBK2hY81LGWMTw17+IcUmroBywnmvoHfJPiZltTZ2LQkuA0MjpEIPOTiG0Ilk21QpzZVCO8Iq/NNmNHvOz78ABkVlJ3Hg75Xp70YAY8S4zcowHb0SsZebvl2hyQA/MtjQr/UDNNiBL8CBp3mnN8FkAtDpSBmbUaPdWPXJQPz4Z4VgBr7/rXJMHfc5Nn/W7FTyS6HCA2wsUIgop/JaB/Z1YL9za19qqPORtgwn9h0Wmzi7IrvwScsnKFSFCH20DERQCTNSZPLF6X3E7m/asn3+Jsw5abkxYNiOVjmxga6BGOEaiXJdfqxBRqnDYwqdhHQ8EQ4aIvJU6arvFqgCzPXNs2/q7Och5+WXeQErm1lWs+Zg5ohLyTe+G9XBnDbDg882RDBl7A58+7r9cKyDqbJ+Fs12zpxsys82Nmntb6uKznhyeWAxmpvcB/P+JNvYOPY/UFDXpvwl0Zk3EFRBmVg1x0hNTjhoilXxnyKIGJcFLk81IapwEBQXm3jh9f64855e8PkJt91cg+Gln+PN13Ovg5krNjVvwrbIVvQ2emOid1Ku3clIb7M3JrgnolJXTvQq75hc+3MkI0lOOCiIKFChK67qZfTGZO+UXLvTIzn7vHxs2T0QZ5ztR3mZxqnH78aFZx2ZOph3VN8GAFgavCrHnjjniuAVIBA88Dyea1+OVBjSXCkcJGEV/ocFi45EEebDidut8M/7++D51/qhdx8Dzz7dgMF9tuHeu48cHcw1Tauxx9qDAeYADHcPz7U7jikwCjHLOxvVXD00qIJzcu3PkUpib7JMS66QJNeFIKLicl1+dqk5AKPco3LtzhHB9JlefLylFF/7RhDNzYz/uWo/jjlCdDD/Wf0PAMBVBVfn2JPsuThwCQwYYLD0tMwFWQ4fkCEEAgCgSIUeYjCWHpgQVTgMKKXw819FdTCPGuPC6pgO5i+ur8i1a53GOw3voEJXYIRrBErMkly7kzV+5ccC3wLUcm2fIqPorFz7c6TBoKyXXCFJrotgkFFaocuPGekaiYGugQlbGSVDdiC/oJZAmbsDxhVOYi97nT5DWXCqapHXApq1R8PlaLbwONm2WpjIrhchZWHPCZ8AojqYb68sxQ1/CcM0gd/9uhJjhmzDh3f7NZodDR+IoxH13xEud4RjUmtOMZFdLNvJa91fcy8A4KqgrRZHjKFjNjERg9lxLDWcq6EADmZGtxOLTdLyzw6cCxdcaOKmu2Ri1cOP1OSErIh3ib4y1kU6jj+/HvNOeVtPmbeajznlbfQt3cvKsFJeMoWtCicbOPazdzp4OE4aewZN2cfqmnWg0nr7kOV03eWTlZXOn2SKIel+IpZDO/ux7fbt9rnyqiA+2zkI82fnY+dOCwu+94H6wqPLEdE6UyyT+ZExNkNGbcW46euRqPKRhA6JzXN1z6GWazHBPbF1bsJgUTUWnvWaHjvtEyZqHY6eKZ72+GV7ncX9S4UGgMGjtvH4GR8ljY2HPFiUdyoauKEgpELdp+dMD6G7vJMjzmXfTgEA4FXeMU3ctG6CeyJfU3QtAbHa2LhNPHryBlJKa5scF/Zs74UVr03kSLOptTYMADDMCMZNX28NGrHdSDIAnBF92k58iraQfAB4XFyXW7cVN0Kdu1mjuBHk4sSHo1RP5/EbX+K2VMdNVVb8hOzHjfum0f5hLdlx4+UeOKcUx+VaE/rxgRY+C6qXN+ylZY+8h6rGFuS7Tfz19Gn61JEl8ZqR/bjJfEx1PnEf2wymb6jz4P3XJ1rle0IqQdYrXVlZxUZrzV/b/xVq5mb8sdeNCLp8GDv1Ez1k9FalDM1Ejv4mqc7JLsqcGJtkaivOY1PvwQevT7D27w4rbYtNhCO4bt81ANDUyI1+5rQPCUIH0Y+G8TL1y6z2+V990fvMPK2TXEqJJLkuQIEq+KyGa4b+tvj3XGgUUjBUzTMXvA9fXiMbKeS4Ii0G1q0YZW35dKBR3Gc/ps1fBdMVsQwjbRNiYnJJliDsaBATLdjFNHuPgsmpboJx7A9uTpuk4k/zmdRW7DfuOOl9by+FlSk2hl4ZAj89AGhRFjgqNaO1xtefWYl7Vm0BA5hVGsY95x+tC73uuNxa2weC1P7Hf2xpW1B2bOmDlW9MQEuzacVVyhyU7Sg2D9c8hCfrn8Qsz2x8b/Q5mD7/A3Z5ItowdMbYpPmezN6uKJPpOnMcm51be2PlGxPR3GxaiNU5X6p/ke6tuQdhFf5/+639/5tuf6Fj6EfDeGmWSe6XOUpy0lyZY4IqOKeaq4fO8s5GoVFIADBl7irkF9RTqgQHAKbLwsTZHxnHnvYWZi78AB5vCzIkOKCtWC6Q+e+vMKAONHuPIhcjQ4IDDjytZ3Ndxe2dlG23z+x7230zxoYbFfjxQUCzgXiCA6IdU248ZSre+sIJGFToxzvbyzD6xifUze9tsJ+r09hkfHdUMngPTrrgZQSLauLn2SGxiegInq1/FgYMLA5egRkLPoDX30wZEhzQPnZOr7NWSa4M9o5j03/QXpx0wUvx2BAAmu9bgHwKoFpXX09EuZvKXOiSSJLLMRr8kAEDFwcuaV2nDOevaQvD1TBdndhCo5igqbM6gACZa0CJdN7JagLSKJWNLA7igy8vwo/mjwUD+H8vrsb0W57BZ2WOx9Y5jo3LHUG4d6VOIdacirRl31dzLyKIYL5vAdzKDVKd3rKX7XXjSArNdFko7lPO8dgoUrg4cAla0OIKq/BvD8ZRIXuk44mQkSKj6Kw6ru2zwHcc/Mqfa3cEh1w3ezQ++topmNY/hE0VdZh563P4zrMrnetg5oBG3YjXG1+DCy6cn39Brt3pcGZ4ZyCkQqjUlV8lIvkxHQa6S8cTSXI5goioiZvucsGFcwLn5tqddmyrrMOc257PaPe/P63AKy861358/pl6zJ+9AzMmbMf08dvxw++UqcpKC0P6bUX8/fB77zSi0LMZO7ZHB2RXVWkM7rsVOpePgwmE/V48e8UC/P3sGdrvMnDHB5sw8qYn8cbWvbl2LSn/qL4TGhqn5p0GUzke3ZCWpzfsxA1vf+LYfmNZDS789xuYdvMzmHXrc1j68DvYW9eI+X9/AWv2VAIAIlpjwO8ewQNrt7Xud9ydL2LV7vRjFokIiwNXwoKlwip820GdkOCY+EvubJZcIUkuR4RU6KoGbig4Je9UuLvxa4QfXl+E+Qt9jmw/WteMb19Xhlvv7IX3Vpfi7ZUlGDzExYWFBvr0MfDJxy0AgHffbsKESW68904jAGDFu42YNt0DldVQtcPDmaMHYON1Z+CMUSWoaGjGmfe+jgv//Qbqm7uOYkq1rsaKphXwkQ+n+E/tsHIXjeiP62Y7U+ZpjFi4+ME3sWTKUKz48sl45+oTsWTKUJTVN2F6SRjvbS8DAKzdU4XhoUDr97rmCLZU1mFc78KMxxjnHYd+Rj9U6IqLiSjzDsIhITU5ISVEpOq47kYvebEo75Rcu5OSiNb4nzvXYM7sz9Xii/agvr7989iXr9qHR/9bBwD4yQ/LMXPidhw9dbvx/75b1s72xt9X4ZvfK8TI0dGkbpqEL3w5yAAwc7YX773dBCBak/ufa4J4N/b93XeaMGO2p3NOsgNwmwp3njMLz10xH33yvHhh0x6MuPFx3Ld6S65dAwDcUXUbGIxz88+HUs5/8vev2Yp5tz+PY+54AV96bHm77feu3oLvPLsSAPDo+u2Yc1vU9rR/vdrO9qF1n2NaSRgnj+jfum7eoN44qlcBZpaG8d6O6PXy3o4yXDl5CNburQQAfLCrHBP6FMJw+ICzJLgMGppCKnS/4xMVDgqpyQkpCavw95u4yXdO/rkwqWOajjqDjeW1uGJeKd58e4AOBBXuuCV1B4uKcgtPPFqPdz4swVvvl1rf+n5hO5v165oxaUryWuuM2R68G6u5bdkcwVnn5uHDD2JJ7+1GzJztPfQT6mSm9g/jo2tOxddmjkSzpfHVJ9/HsXe8gF01uZvKZ19kH9Y1r0OAgpjvn+94v4/3VeMPb32MRy45Bq8tOx6/OmFiWvvfvrkeD140F68tOx73nDe73fb1+6owqW9h0n1nlISxPJbklm8vw+yBxfAYBmqaWvDe9nLMLA079nuoeyiGmENRoStOMsjo63hHISsYMtWOkAIiclfr6uvzKYD5vgXttvvz6+HzN1JXGL5YEvRh5pAQQ7G64OJ8vP1WY0rbQFDB4yV87Yv78djDdcrvd3xpKQA8K1aT27K5BQMHmfB6FZiB2lqND1c2Y+p0j93eEbzLB25yfonzlnzAyqpJtM2A5Tg/OW48PvyfRTiqVxBr91Zhwl+exi9eXZvSPhVkaAXK6kVku7Jvq/obAODSwKXtjHXqESp4betenDG6BGF/NO5FvvRN6jNLw/jqEyvwzw83wzrgsqNzHViYh2aLsae20dhQXoMRoQAm9yvC+zvLsXxHGWaUtE9yUamv5L+SpcFlYDCCquAxJ8cXDg6pyQlJCavwb1vQ4rokcAkUHQg/kcbI8Rv1wnNehcsdAZxdG4kyT5m6YMdlntj2PSUEANvzmN/ooxFJP0jONAkvvdmfTz87Tz/5WB3OPX13O5vRY1z48IPmxNUagB42wsWVlRaeebIeM2ZGb6wTJ3twzz9qMGiwifx8xYn7pPKFmxWsp0otfcco6PuGMteYzBFKea5ca8K6b6jF/x3CttEMmWIZPz4nfAcAlAT9eOOqE/DHRZPhUoQ/vvUJxv3pSVq1q8Lx733UhM90735l2kgj45bgg70/ALa1bMOmyCaEVRjTfNPt9hYAvPfSFG6o97BltR8iwgxQ6li0i83vT56CHxwzFjuq63Hs319EeX2T/TrTo3sF8eHuypT+T+8fwmMfb+c+eV4QEaaWhPDe9jJ8sLMc00pC7XYYMX6T7lO6L2ls+rn6YYx7LCp1xXQ3uYelOqhwaMg7OaEdROSv0lVfC6kwpntntK4vDFfi+HNe5dGTN8A0NYhARO2USTIWb/t/4jXFNpvEQbfJrj8NANurG7D883LFr/ZX//mZiZnjAswt7QeSMUPX1mpUV2k6aZFf/fr3YVqzqjledqvv13yjEH/4TSU2ftqiAbDWjD/fUGUgNnh4+kwvbvlzNabPijZNzpjlwc1/qsaMWR777yRx8Hib2OgNQegbxjLeLwYiCtgSJH3jOOL3ehG3EJgPnC8zoN8Ps75pLPBpASHi6MVP/HiOYrl40lBr43Wn47ghfbCrthHH3fWScdUj76bTwWzVm/T6m4w5J79nTDt2JbnczSDSyRKvXYuzzeDx26uinQwT9FBbfSzbE6bnHlxAn60bAiui2sTm2MG98ej67SivjzYZVzS0ezhpw+aKWkwrCenvHzMWYb8bO2oa2sTm3DEDefn2Mjy3cVfrPi98tlt/tLcKAGhmaRi3LN+opkdrbTy9JKT/vXYbeud7UeBtrUUeiI2v2Tj6xOXG9AUfkNvTDFJtY3NlYAkIhIAKPJvWceGg6E69K7vuC6EeSFiFby/TZbQ4eIVFRIZhRjB+xkfWwOE7DMPUyRQf4t/jN/n4gNn4jSyVEkXc3q4+n0yJxG4fl71qTSgjwwHcv3YrvvHMBxgayseSlpnET1YBi7YDprbIOHD82hqNS87bg8ZGBhj45W9D8WO21jLGjXfjV78L07LFe1VDPYMIOHHRgSFNs2Z78Pwz9Zg8NXpTmz7TY23ZHDFmRpNeou9tYsO1JunHBlrYFFSxZHUgNhEFfq5U8aoQ1LlbmIuaGFVupR8arLHPC0SMrGOD9n8r+/5tZK/8bhMPXjQXr27eg6WPvIuH12/H85/tpr+ePo1PHVkCtNV2bHcd9B+8B736v4w17x6FzzeVQFsGALYASlQWaY3NJ03rsdPagf5GfxzlOSruU7vrRlsG1q04Sm3bWIrp81dyXrCOTVOr0b2C+utHj6bT73mNDEXG+D6F+MtprYpM9tgAAF3/0hpsqqhVzMAxg3thXO+CNrHxuQzce8HR+MHzq/mHL6wiUymM6V1A8Xd9M0rD+OGLq+O1Nuqb72OLGdNLwuke0NBvYFQBZc17R2HbxtJ4bHTIDKmpnmlY0bR8WL7Kn1qra9+H0KF03VGhbRHtysMEERUqqPI+Rl/6efEvAADT57+P/oP2sDKymhs+kw5gnHhSjH92VLmAvwV00WeaBtSrLPQ4UiWHDvHJunk0sNenwZTenhg0Yx/zB2FCi2KHiiLOY5PBXmuNbz37If754WYwou+y7j3/aC6M1lYy+lK+txBvPjsDkRZTxzQtk/Ldfd9Bmd6PH4d+Ep+6ycE5MIaM3soTZ68jAJl0SltPKXO5bchqqh1kcd1U7C/Am8/M4JZmFwCiWl2Lb+y7DnmUt71aVw/I4phCBnrTMD4P2WlX3gzRruzRhFTofg1NS21NRx5fcyTLBJdNxwVK+MxEXGQ4M/Uu8Dt9FFpSv+dK4U825xpBNtdng8kZExwAMIHf7U1oMZCFZJbz2BywTzpQTimFPyyagrevPhGDC/PwblQHk/763qeOCg71rkRxn/JIugT3fsP7KNP7McQcmkWCAwDC5o8HEzM50SmNk21sDDiU72p1ymH5RcVVKO5XZsX/rvkqH/N8x6CGa0oLjaITszimkIHu1FwpSe4wYJDRt0JXnDTUHIoh7qG5dkfoAowIB/D+l0/GTxaMAwP40YtraFp2OpgpuafmbgDA1QVfPOSyujvn518AEyZauPk+mVi1I+Gs/+UKSXKHgaAqeIzBWBpclmtXhC7G12aNwvqvnYYZJSFsjulgfvOZDw5aB/OV+ldQzdUY6x6LXmavDva2++FVXpzoPwn1XB8KqVD7cRTCQSM1OQEA4Cb3sEpdMX2seyz6uvrl2h2hCxLyu/H04gV819mz4HcZuGvlZoy88Qm8viU7HUytNR6qfRAEwrKCL3SSt92P0/PPgAce1HP9LVKb6zhkCIEAAPCR/wkC4YrAkly7InRxTh9dgo3XnYGzRpeiorEFZ933Oi7IQgfzqfqn0MANmOqZiqAKdrK33QcXuXBG/plo5Ma8kApfl2t/egKd9U6OiE4mok+IaCMRfS/J9vlEVEVEH8aWH2cqU5JcJ5Kv8qdWc9XoqZ5pCJntB7QKQiJuU+GOs2fihSuPQ998L17ctAfDb3wc96zakna/iI7gybrHoaASx8UJAE7wn4g8ykOtrvk1URfW0juCISIDwF8ALAIwBsDFRDQmienrzDwptvwsU7mS5DoRBfWIgsJlwcvbbSPS8Pqy0JyK7dYxnnVA+cWNQHY9Qx3DFsBVLufyXc0KaOr0KQqyLT+bbvLtyp/crwjrvnYqrp01Ei2WxjVPvY9jbn8BO6saUF/nbReb/9Q+gBa0YK53Hryqnc5nZ//Os41NZ173SctWpHB+4EI0o9kdVsU/z/L4QhKYOKvFATMAbGTmTczcDOB+AGceqp+S5DqJQqPoxBquKZ3nOwb5Kr/ttnAljj/3VfYH6uLqe067VCeVkHJgl+kK0wmfqfFGQOdsttS8XYBy3L07rsqRSuWjFd7lg/7rGK0fHQhuMMCR9LHRn8YUTpoUx1zJXWyiJEqtObFPGZsfL4jqYI7tVYB1+6ow8a9P467Pn48XbQFAs27Gyw0vw4SJS9prVLaR13JyAp+sGqYTFVBScLhi4/QYevjYzUimgAIAc7xzUKgKUaUrv01EXV/xu4vTCc2VJQA+t33fHluXyGwiWkVETxPR2EyFSpLrBIiILI48aMJsMwuzYUYw6ejV1jGnvo38YD0ZBpwMprb/0BMVUJKRKPMUt091ndnLsttbiWY0thzqurWgsRUgF+JjqeI+JUtGdh/TSmBxs4L15ABL3zEKKPMqbCpQ+oZx4NVhcEv7IHGtCeveoRY/MJRR7yJAUaz4HMQmKU5jk0zJo40/ffz5+NO4a6wrCxZDwcRTdU+pb+37JrY0bwYA3F39T1iwcJL/JPuEqPHrxl52pthoAPh45Sj18mNzUV0R4EhEpYtNnEOJTbLyHccmYR0V961QJ13wEgaN+BzKaOsKEeHSwOWIIGL0NfrKxKqHwEG+kysmohW25eqEYpPdDROv1w8ADGLmiQD+BOCRTL6K4kknEDbCl5Xr8rtP8Z/K5wTOZQCq74DdmDJvNUxXxDIMTtWUZZfjit+gMg3kjStI6IT9kpVtLy+T8kR8O6OgidTZWzT61xO5UzZRJpZnP5dktEpZ6U+D4EcGMZoMDUu196m0DurczYz8FobJij8IMz9TSoioTAonnRWbxPLsklnp/LDvD6SOTWt5e7YXY8VrkzjSbGqtDaNJN+Lmqr9ibfNaAMBEcxJWR1bBTW78qfgvUErZfXLy900Tm6gCyrjpH5NhWJpU14pNq5MHZNfaULE/iOUvT+GGei9ry2gt7wf7v4f91n7W0AXMfOgDE49AwjSUF9EvstrnHr40reIJEc0G8BNmPin2/fsAwMy/SrPPFgDTmHl/KhupyXUwRET1XH+LBx6cnn8GAaDh4z/D9AUr4fG2IE2CA5LfCJz+jTLJH1GCXSaifoYaWX1lPTCwDmkS3AH79kLKqVAASL/dC/zAUKDeRUkTHABsz4P+01jiN/pCPzwI/HQp0GLAkcJJWzoqNvaaS3z/joyNAYA++2gQ3n1xGpobPaS1YQCAR3lxXdE38M3CbyOP8rAq8iEYjHneeTphQtRDeicYX7X548H0/H/mY+/OYqfPw4clNm2cTHGuRcXVOP7cV2n0pA2IS5wCwJXBJYhOrBq+O81xhAx0QnPlcgAjiGgIEbkBXASgzXRJRNQ3PgyEiGYgeq20n6HZhiS5Diakwtc1cmPemflnwUUuAKDCUHXENB0Ph4yLKjt92W4kfHasfbBFgRF/indC/OndEbzHZyHioGhN4Ff7KawJWTFBZSfEz9Gp79nGMv63yjY2jvyvqQhYlpXclaM8R+HHhde3fr8g/6J4LavDY9PY4MV7L001WJN9v0x0amzg8L6pFGPUxM9UYXFVq9zXSPcoDDQHokKXn2mSWezweIKNaDNNxyqeMHMEwFcBPAtgPYAHmHkdEX2JiL4UMzsPwFoiWgXgJgAXcYbHL+lK24EQkemG+9d5lIfj/Sfk2p2eSed06OyW3FF7OwBgWfAqJNTiuiud9u6EEnr3LQ1ehZ+U/xhBVfBfAMd01nF7Mp2hYsLMTwF4KmHdLbb//xnAn7Mps0f8MroKYVX882Y0uy8IXNhmQlRB6Gh2RXbi05ZPUaSKMNt3dK7d6XaUukox0jUKFbp8nkGGzFBwEDBlt+QKuRN3EETkrdKV3y5UhTjaOyfX7gg9nFurbgUALA5ekWNPui9LYoPmgyr4ZI5d6XZEe/twVkuukCTXQYRV+C8RRIzLAosh8nhCZ7KxeQM+j2xDH6MPxnsm5NqdbksvsxcmuSehUleOz1N543LtT3dDBJqPIIgoUKErlvQ2+mCSd1Ku3RF6OH+vvgMAsCwoIsyHyuXBK0AgmDAfz7Uv3QuZaueIIqzCd2toujKYXITZdCUZzdxD4QaFrIZeNmbb073Tpc26DkkmLl3V+CH2Wnsx0ByEoYdxbkJS+mAin+0eh/1vW2AUYLb3aFRz9eACo0A6oDhEJk09gjDJLC7X5WcONAdhpHtkm22GGcHEo1dbfUr2GbEbv1Mpo2z+Lk7lqeJkJfGE/V6gWSmOpJ8FnC1Av9Gb9T3DgWZlsJV+GEFc4QSfFhgxl7pfbKLEu8o7LdvpzNi6d/+9yjAsANxa/t01/wQAfKH9VDqZBmm3Kz/Br5SEelVgwZmvc6yHYjaxcTqcxB4bR/JdOHAdOLG3SgbvMhIVUOJcFLgYBgxYrB90UJYQQ97JHSGEVfiJZBOi9h2wG1F5oe1QRnyETkYJKaC99FUq+1Ypo4TPVDcVK8EunaxSfD2j1gV90zjw8mLiFkqqZ8g7fdB/GcP8Sn/G9nzoG8eBPylIKscFtOpNAu+HAd0qXpFOcqqrxcYutZbMz2T+ZPMrZwDcf/BeLDz7VRT1qmTDiPBbDW+iUldipGsk+pn90x2zQ2JjulowZd6H1txF7yAv0Bh/1ZxtbDINtE+MTaY4JbtOMsZ2xPjNOObUt5AXqGNlWG189ys/jvMtRB3X9u5t9jk/U1lClO7Su1JkvQ4Bg4wBGnrbKNcofDv0XQuA4fE1Ysq81bq4bxmZpk4nIWV/8k4nZZRMdimllBFSP9GnW58ok5RcTqxPPdS5WzSKmkAuVtykoJ8vsfBh2Eg6oHtoNdTZWxg+S5PJBteY0I8NtLA5qBBJO2tAtrGx+5qb2CT39YA0Wmo5MU6wbyeBxQx8/ll/zP3P31HHdfi/8O/iUze1SqOl8CVZbFJJrdliwOg/aBcmz10D02VZSiVV6TnU2DiRWrP/HZ3UVBOvm3ax0ZqwYe0Q/cnKkcqySAPRAYbN3MzX7r2GTDKqG7ihMNMA4yOdAhrCc4yfZLXP09aVaWW9OgsZDH4IBFXwyUpdGZ+/i4r77sfsE1bAMCyQyighlbgulb39BmV/+k71g7fLJJHtM5N9nLh9+xvVHj/0zUcpmrGPecp+8D9GRN+p6RQNApuC0DeOIzpuJ3GfevD9w4CIInBW3U+dxCbR3klssrGPkzo2B/xJdnNMdy0k2rezJQIe2/8K6rgOswpHc8hVSNEXn+Q0Nnah5lT2rbGZuXAFepfsR+whrbNi40SG7lCf/9vtrxRj1IRNqnTILrz/2iSU7S1kMJGb3HRq3ql4pO7hYEiFvgjgliTlCTZy2ZkkG6S58iDJU3njKnXl+Enuyehl9gIA1btkP0yXBYcSWPZ3M05+zKluoKlIbI5yQjpB5ZgFgd/tTXznCKDBtKBT6E3GiSjwc6WKHxqSjd7k4YjNwdxEnfhub85z8o7M/hCT1F5rjd+88REMItyzZASFelVYscM4jU02UN8B+1K1QhzqcTo8NgnYr5u0/uQFGjDvlLeV19fU6tbJeYvgJR/quO6PsQk8hR6AJLmDxIT5OIFweXDxoRTTPR6FktHoyq6hvd6V7RG6Wmyy9afDOpT94tV1qG+xcP64ASj0uuF2R7L1pbNj2dn+ZPs+0xFEgGHqVnuTTJyXfx6auMkbVsU/zMrDIxDpXdmDKTAKjqnm6sFHe+egwCjItTtCD6Y5onHz8o1wKcLvT56ca3d6PMf4jkWAAqjWVT+KKeELSeAse1bmsneldDw5CAwyqjR0cJhrmFa2VhR/XqPKC9SDHT64EEGBwezw6ZMIitn5Q5EiKJ2FfTblU3QUF2VhrwA4j02sCfIIiQ0BoGSx+XBXhWqIWOib79VDiqIzzNdV5anGBo/z2IAUwI7ti/tUKAZrp29OcxWbFPZZXTfV5UHV0my2sa/RNbTb2kUA3mJm0ehLQpAG8wzj+syGNl60lkrHk+6Chn4CwCWftXzWtiZcGVuyqyFn+24o29p3d7aX2MTYXduodtc2xr7tB7KPjWP7DdvT+5KCrmSfRWzSxlKUr9OgqXtUkCTJHQTMfCmAS3PthyAIQi6ICzR3ByTJCYIgCFnTPVKcJDlBEAThIJCanCAIgtAjkeZKQRAEoUeTy7Fv2SBJThAEQciS3M4Rlw2S5ARBEISskOZKQRAEoedC3Wec3EHJehGRj4hejYuYEtF8Irq7Y13rfIjoZCL6hIg2EtH3UthsIaI1RPQhEa3o6PLT2RHR34loLxGtta1zE9FrRCQPKIIg5IQePTN4LLEtBfBfZo4rfk8CsLID/ep0YufxFwCLAIwBcDERjUlhvoCZJ6WSpIkl+bsOpvwMdncBONluz8zNAF4EcKGD0xQEwSGJD+9djWSViVw+9HYX7UpHSY6IHiSiPxDRywC+j6jax6M2k4kASojoXSLaRETzY/udR0TvENEqInqDiHrF1vcnooeIaCURfUxEM9Ic+x0iGhz7f0m2tak0zACwkZk3xRLH/QDO7KCysyk/pR0zvwagPMk+j0AUVwShw0jx8J7OvqjzvWrHJCRUJnL50MtZ/ssVTmty4wHUMvMCAP8HYCgzb7FtnwSghplnAvgSgJ/H1r/MzLOYeSKA5wFcEHvieBrAncw8GcAUAOuTHZSICMBAAFtjqyYAWJPOUSJ6Pda0mLgcn2BaAuBz2/ftsXWJMIDniOh9Iro64VjvEtGHAG4HcIbtWCdlUb5TOztrAUzPYCMIQhoyPbxneBhfQUT3EtFxsftUqmMkfdA/SJJWJpCDh97uNAtBxiouEXkBhAD8LLaqGHEZ4uh2E0AYwC9jqz6M2QDAlUR0IQAPgL4AfgDgLADrmfkJAGDm+jSHHw5gs20q+oxJjpnnZTqnuOvJdk+ybg4z7ySi3gCeJ6KPYzUsxJI6Yhfblcx8ZWvhROc7LN+pHwc2MltE1ExEAWauSWcrCEJKxiN6L1oQm1bnq/GHd9vD+A+Z+Qki8qPtxK0jEX3F8FUAf4k1I97FzDsTjvEyM/8nVub1AC5A9PXEwTAJwKPMPJOITkS0MjEPOXro7Um9K8cCeJeZI7HvDQC8tu1jEG1ua459nwJgFREtRrQp7jhmriWi1wCsA3AagHcc+jcebZPaNAB/A1ovmBCASmZunfOBiF4HEEhS1reY+QXb9+0ABti+lwJIvEARv2iZeS8RPRw7p9cc+O6o/CzsEvEAaMxoJQhCOzI9vCPDw3isSfMJAE/Eame/ArCNiI5m5vdspske9O1+TAGwBEALgMcAvAdgDqItY+/Y7FJWJuShNz1OmivHA1gd/8LMFQCM2EUCRKvQQ4jIQ0T5AK4HcENsv7diCe5cRKetWANgN6KJEwBge0/3IhElNtOFEE2qIKKjAJwKYE3MzoXoRTnLvgMzz4t1EklcXkgoezmAEUQ0JPYUdxGiF1krRJRHRIH4/wGciOhTUxuY+RV7Lc5p+Vna2f0KA9jHzC3p7ARBSEmmh/dJyPAwTkQFsVcYjyFas1sG270y4UF/IoBPEH3Qt/MFRN/Dv4DoO8FXEL3PfZxgl7QyYdt+2B96e0xzJaLJ6r2Edc8BmIvoH2YigHsAvAXAB+DnzPwOEdUCeJSIzgPwFIBNzFxH0V6I9xLROkSfXn5MRE8g2jSZ2MniWQDXENEDiCaXMmbeQ0R/B3AtgF5oWwtyDDNHiOirsWMYAP7OzOsAgIieAnAVohf9w7EmdxPAvcz8TLwMInoX0Ysrke8y87OZymfmnRn8uA/AfADFRLQdwPXMfAeABbGYCoJwcLR7eCcig4i8zNyI6MP4xPh2IurFzPts3/8FYDaABwEsZuYNKY6R7EG/FWb+su1rut90a2UC0Qf86wF8PebLYX/o7U6DwQ9qZnAimgzgG8x8eYc4QTQOwFJm/oZD+28CCCJaff+Emf/UEX50F4jovwC+z8yf5NoXQeiOENHvAbzHzP+2rbsDwH3M/EKsVepeAMMQexhn5sdstmcAeMpWE0x2jHGIdmTZiWgCW8LMIw/S398hWlNbhAOVifti284DMJuZv3kwZR8MXjWQB7i+ldU+G5uvzcnM4AeV5ACAiJYC+IeT7rZCxxFv0mTmf+baF0HoSXT0w/vhIhcPvR41kEtd2eXUTc3X5STJHfQAQmb+e0c6Ijgj1iYvCU4QOhhmXklELxOR0V0e3mMPvY8c/lad3L5nywaRhhIEQYjR3R7ec/XQywAsSXKCIAhCT0VqcoIgCEKPpbskuYOahUAQBEE4cmEwLNJZLU6gDDO3UJSbYttXxwbTp0VqcoIgCEJWdMY7OTowI8sJiCpBLSeix5j5I5vZIgAjYstMADfHPlMiNTlBEAQhayxwVosDnMzcciaAf3KUdwAUElG/dIVKTU4QBEHICgZgdfzM4MlmZEmspaWatWVXqkIlyQmCIAhZoXnHszWN3y/ObNkGL7WdD/RWZr7V9t3JjCxZz9oiSU4QBEHICmY+uROKdTIjS9aztsg7OUEQBKEr4GRGlscALI71spwFoIqZUzZVAlKTEwRBELoAqWZkIaIvxbbfgqjQ9SkANgKoR3QuvrQctECzIAiCIHR1pLlSEARB6LFIkhMEQRB6LJLkBEEQhB6LJDlBEAShxyJJThAEQeixSJITBEEQeiyS5ARBEIQeiyQ5QRAEocfy/wGQ75fAsm/x/AAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "pa.ternary_plot_n_equilibria(\n", " simplex_to_profile, \n", " scale=SCALE,\n", " title='Number of group equilibria', \n", " meth='analyzed_strategies_group')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Depending on the class of profile, the possible values of the option *meth* may be:\n", "\n", "* ``'analyzed_strategies_ordinal'`` (the default),\n", "* ``'analyzed_strategies_group'`` (for profiles where a reasonable notion of group is defined, such as *ProfileNoisyDiscrete*),\n", "* ``'analyzed_strategies_pure'`` (for discrete profiles such as *ProfileDiscrete* or *ProfileTwelve*)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Winners at Equilibrium" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The function *ternary_plot_n_equilibria* works similarly:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "ExecuteTime": { "end_time": "2021-02-15T09:51:39.360728Z", "start_time": "2021-02-15T09:51:23.159370Z" } }, "outputs": [ { "data": { "text/plain": [ "(
, TernaryAxesSubplot: -9223371904852273148)" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "pa.ternary_plot_winners_at_equilibrium(\n", " simplex_to_profile, \n", " scale=SCALE,\n", " title='Winners in ordinal equilibria')" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "ExecuteTime": { "end_time": "2021-02-15T09:52:00.730258Z", "start_time": "2021-02-15T09:51:39.365716Z" } }, "outputs": [ { "data": { "text/plain": [ "(
, TernaryAxesSubplot: -9223371904852057000)" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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ddtll2zdu3Jjw8ccfpzqdTs+ECRPKg/ULFiwottlsjB07tnr37t2OwOfDhw+v6Nu3bx3A0KFDK3/66aeErKws9w8//JA8c+bMAQBer5euXbvW9/0cc8wxewKvx40bV37ccccVHHnkkXuPO+64vS27120X3R2k0URhUHb2wzUej/3BefMwDN9P5rgRI8h1OtlUVnahiKTGOcR2xeTJk8uXLVuWtnbt2uTx48dXTZ8+vfyLL75I+/TTT9OmTp3aKAkkJSXVXxkote8iITExsf6NzWbD7XaLUkr69etXtXbt2m/Xrl377ffff//txx9//ENAl56e7g28fvrppzdef/31W4qKihJGjRo1dNu2bZ3yakAnAY0mAiLi/HHPnuMGdOnCgkGDACgDnhHxzFqwQNV5PIbT6Xw0vlG2Lw466KDyt99+2+VyuTx2u52cnBxPaWmp7euvv06bMWNGxf6UPWLEiOo9e/bY33777VSAmpoaWb58eVIo7Zo1axJnzpxZcccdd2zJzMx0r1+/PmF/tt1e0UlAo4lA74yMZ91eryxdvBiAvaDuAX4EKejbV3JycigtLf2ViGTHN9L2w4QJE6qKi4vt48aNq2/1Dxo0qCotLc3To0eP/bq/kpSUpJ599tmffv/73/caOHDgkKFDhw55//3300JpL7rool4DBgwY0r9//6GTJk0qmzRpUtX+bLu9IubLK41Gsw+HzZbr8Xo3T+rVi2WnnQbAL8Az4K31N6C2bdvGAw88QEZGxoclJSXT4hhuq7Fy5cpfRo4cuSvecbRFVq5cmT1y5MiCeMcRC/pKQKMJQ7fU1FcBHvdfBYSie/fuFBQUUFpaeqDD4ShsteA0mmZCJwGNJgSZycnDtpSVjZ43YAD9u3SJqF20aBEASUlJr7dCaBpNs6KTgEYTggSb7VWbCA8viG4I6XK5GDZsGOXl5YNSU1MntkJ4Gk2zoZOARhNEbnr6rB0VFfmnjB5NTlrIe4qNOPzwwwOPj77UkrFpNM2NTgIajQkRkWq3+9lEm43bDjvM8nrJyclMmDCBysrK7k6n88gWDFGjaVZ0EtBoTPR2Ok/eW12decXUqaQlJsa07sEHH4zD4aCmpuYxbS6naS/oJKDR+PGbxN2TkZjI1dNCP+3ZBbCDYYAneJnD4eCggw6ipqYm3eVyXdDS8XZmRGTs6aef3ivw/pprrsm5+OKLc+MZU3tFewdpNH6GdO16/bc7dyY/MG8eDlsjBwEvIOkgFwDvAF8BblBAfav/gAMO4OOPP6aioiJgLtfhPYtHjBgxcteuXc1Wl2RnZ7tXrVq1MpImISFBvf7665lbt27dtr8DzDo7OgloNNSbxF3WIy2N08aM8bLvKtn8WgASgDlgGwM8D2ovKLdfYxiGmj17trz44osOl8t1M3BRK+9Kq7Nr1y77mWee2WzlPfjgg1HrJZvNpk444YSdN9xwQ87dd9+92bzs+++/TzjxxBMLdu/ebe/SpYt76dKlv/Tv37/WrNm+fbvtuOOOK9i4cWNicnKy96GHHtowceLEqosvvji3qKgoYcOGDYlbtmxJOOuss7ZfffXVOwDuu+++rPvvvz+nrq5OxowZU7F06dINdnv7r0J1d5BGAxS4XPfXeDy2B+bNw2YYgZa9eTh9o99KDnA2GIeB2Pfp1YgRI3A6nZSVlZ2vzeVajssuu2zHCy+8kLV79+4Gl21nnXVW72OPPXb3999//+2vf/3r3WeffXZe8LqXX3557siRIyu///77b6+77rrNJ554Yv1Avx9//DHp/fff//6LL7747pZbbsmtqamRr776Kum5557LWr58+dq1a9d+axiGeuCBByIPIGkn6CSg6fSIiGtTaemJA/eZxJmTQMTfiADjQH4N+GsiQ0RYuHAhHo/HcLlcS1os8E5OVlaW9+ijj979t7/9rZv586+//jr1jDPO2ANw9tln7wlMYmPm888/Tz/11FN3AyxYsKCsuLjYHkgms2bNKk5OTlY9evRwZ2Vl1W3atMn+xhtvpK9evTpl5MiRgwcNGjTko48+yli/fn1sTw60Udr/tYxGs5/kZWT8o6i0tN4kzoRlY61kwAbK408gffr0IScnhx07dhxls9myPR6P9tppAa688srtY8aMGfKb3/wmpuMbyjNNRBSEt6g++uijd997772bG63YztFXAppOjcNm67mptHTWAXl5TOjVK/oKMbB48WKUUqSlpb3YrAVr6snJyfHMnz9/79NPP13v4jp69OiKRx55JBPgwQcfzDK7lQaYNGlS2WOPPdYFfFNVZmZmurOysrzBugCzZ88uffXVVzM3b95sB989he+//75DWE/rJKDp1ARM4pb6/X+ak+7du1NYWEhpaelUh8PRp9k3oAHgqquu2lZcXFzfq3H//fdvfOKJJ7IHDBgw5Jlnnuly3333FQWvc9NNN2356quvUgYMGDDkqquu6rlkyZKfI21j7Nix1VdfffXmgw8+eMCAAQOGzJw5c0BRUZEj0jrtBW0lrem0ZCYnDy+url61YOBAXj7mmFASD/Vd/ZHZDCw1WUwHKCkp4fbbbyctLW1dWVnZoP2POv4EW0nH4xHRtkp7tJLW9wQ0nZZ6k7j581tsG06nk2HDhrF69eqBaWlpk8vLyz9psY3FifZaYWt86O4gTafEbxLX+9QxY+hm0SQuEpGupwPmckopfW9A0+bQSUDT6RARqfKbxN06a1Y4mRdfV1DU/tK9wOv7uoIa3Vw0mcvlOJ3Oo/cndo2mudFJQNPpKHC5Tiuurs78fWiTuEAlbh4rEPKpEQ/wP/DeB2zd97EiROIwmcs9qs3lNG0JnQQ0nQoRse2urLw7IzGRP0ybFly5myvwQEVtmF7Xm8ZtAO4C9RHg3qcD39VDI73D4WD69OmqpqYmzel0dngrCU37QScBTaei0OX6U1ltbeL/HXooCTZboNL3ss8ILtTTQPUtdzfwL/A+CZSCeKz9hrwAkydPluTkZCoqKm4UkQ7xeKGm/aOTgKbTICJJW8rKruyRlsbpY8fCvlZ74F80bJuA70Es2lYGEkrAXI45c+bgdrsTXC7X/8Uav0bTEuhHRDWdhgKX64FfiottD82fT1C3vIcYfgtGkH20Ber1w4cP55133qG0tPR3InK1UqrRaNb2xlMjRoysaMZxAqnZ2e7j9GOnrYZOAppOgYi4bCInDMrOZt7AgfGMg4ULF7J06dKAudxRcQummajYtct+RjNaST9kwUoa4LHHHsu84447cqqrq420tDTPK6+88lNubq6eWyBGdHeQplPQ2+n8p0epUCZxrU6fPn3o3r07JSUlR9pstq7xjqe9MmfOnNKVK1euXbdu3bfTp08vffzxxzPjHVN7RCcBTYfHYbP1LCopOXRKXh7je/aMdzhAA3O5l+IdS3vl/vvvzx4+fPjggQMHDlmyZEm3pKQk7YHTBHQS0HR4uqWmvg7weAuYxDWVnJycgLncAQ6Ho2+842lv3HPPPV2WL1+e+tFHH61bt27dt4WFhdUjRoyoindc7RGdBDQdmszk5OFbyspGLBg4kL5d2tZEUIv8SSkpKen1+EbS/vjmm2+SJ02aVO50Or1LlixxrVixIm38+PE6CTQBnQQ0HRqHzfaaTYSHwpvEeYnhAQkHeL2x/W68hHmSyOl0Mnz4cMrLywekpaUdEEOZnZ7TTjtt10MPPdRt7NixA9etW5fUq1evmoyMjLDzAWjCo58O0nRYctPTD9tZUZF35tixkUziAgPGhOjW0SoX1ELgNaAWPN4oevaNQA4MSmugnzt3LmvWrMHr9b4AdI+6U22Q1Oxst9UneqyWF00zfvz46qKiotWB9zfeeOO25tp+Z0MnAU2HRESkS3LyPxNtNm497LDgxR722UFYmS+gXi9gGwb0A94EVlNvGxGsDwxEC5RvvhqoHzeQnJzMxIkT1SeffJLjcrl+VVxc/E9re9h20M/0t290d5CmQ9Lb6Txtd1VVxh8OPJDUhASFr2I2m8OF6qIJVNgBvQqnTwIWgu0kIAuUbZ/1RCTM5dd3XcycOdPrcDiorq7+uzaX07Q2OgloOhx+k7i7nImJXHnggeCrwM1GcNHO+2AribD6nsC5IBMa6qNdXZhjweFw2GbMmEFNTU2ay+W6OMq6Gk2zopOApsNR4HL9uaKuLumWWbNw2Orr40Cfv1UMq3oDGAqSEMZyOgyC6cph0qRJJCcnU15ers3lNK2KTgKaDoWIJG8tK/t9bno6p44ZE+9wLGMYBnPnzsXtdjtcLtet8Y5H03nQSUDToShwuR6o8XhsD82bF2wS1+YZNmwYLpeL0tLSc0Vk/+e81GgsoJOApsMgIplFJSXHD87O5vA4msQ1lYC5nNfrNVwu19J4x6PpHOgkoOkw5GVk/MujlDzeBkzimkphYWHAXG6xNpfTtAY6CWg6BHbD6LWptPTgqb17txmTuKZiMpd7Od6xtGVeffXV9EWLFhXGO472jh4spukQ5KSlvba1rCyaSZyVgWFmLDeSBIjRTiKwWiNycnLo06cP69evn+xwOPrV1dX9GGO5rcqIp0aM3FXRfJPKZKdmu1cdF30A2ldffZU8atSoyubabmdFJwFNu8eVlDSypKZmxOJBg+iTlRVKEnh0UxHbCGGrM4h5uoMxDtRyMNzR1wuMKA7ovAQlkIULF3LHHXeQlJT0GtCmb3DsqthlP/OM5ptU5sGHrFlQrFq1KiUzM9M9YsSIQXv27HE88MADv8ybN6+s2QLpJOjuIE27JzUh4Q2bCA82NokzjxA2aDwiOJI+sE5AH2oMQP2IYgPkMDBOB3JA2aPog/6aPYYAn7ncsGHDAuZyU0KU1elZs2ZNSnp6unfVqlVr77rrrg3XXnttbrxjao/oJKBp1/TKyJi7pays+2ljx6quqanQsDINrnQxvQ98Zr5KCOiDfxeW9d2AM8GY4xs8huxLNt5Qej8BnyEw6efOnasMwwiYy2lM1NXVUVxcbLvhhhu2AkycOLFy7969umejCegkoGm3iIhU1NU9lWS3c+usWeZWdYBIXT+hKvpI+lCJJOTvR4AxIBfgM5qLpg9HcnKyTJo0iaqqqm4ul+s3sazb0fnqq6+S8/PzawKziX3yyScpQ4YM0fMJNAGdBDTtlnyn84zi6mqX3yQu8LFluweTPpbJyQ0s2kOkAIeALcH6vQXYl4gMgBkzZuA3l3tERPTv1c/y5cuTi4qKEquqqqSkpMS4/vrrcy+66KLt8Y6rPaJPKk27RERsuyor73AmJvL7qVPjHU6L4XA48JvLpTqdzkviHU9bYeXKlSlHHnnk7nHjxg0aM2bM4LPPPnvHwQcfXBHvuNojug9N0y4pdLmu+7m4OOnh+fPNJnEdkkmTJvHRRx9RUVHxVxG5QylVF++YzGSnZrutPtFjtbxomoceemiT/+WW5tpuZ0UnAU27Q0SSE222y9ubSVxTMQyDOXPm8PzzzztcLtdtwO/iHZMZK8/0a9ouujtI0+4ocLkeqvF4bA/Pn9/uTOKaislc7hxtLqdpTnQS0LQr/CZxxw3p2pW5AwbEO5xWQ0RYtGgRXq/XcDqdT8Q7Hk3HQScBTbsiLyPjOY9SsjSyPUSslwfNYvcQijLAHXs8ISkoKKBHjx6UlpYustls3ZqjTI1GJwFNu8FuGHmbSktnHti7N2NDm8QFHg0NWDFEI1a9N8zrkMKPQD3je91oRHAYApqw8xUvWrRIm8tpmhWdBDTthjyn820gmkkcNGx5W6ncQ40IDsZckZv1jcYkbALuAfU+KI8FvWm75hHFgeknG+hzcnIY1LcvpaWlkzISE9u0p5CmfaCTgKZdkJ2SMvqX4uIBiwYNojArK7hFHqg8zc+Kms9tc6vaE0YfzsfHfLUQSl9PFfAieB4H9oK4rf2+zOVHsqtQNmAGeP+zcCGGCKkJCa9aKF+jiYh+RFTTLjBE/m0yiTNXwELkPvdIFWsozCZz0bT1+nJQ94LUEvXSI1B+sHNouO0Y/v/UuSBpoBwZGRw3fDhPrFrVr0d6+oFby8o+jBJjizJixFMjd+2qaL5xAtmp7lWrjtOPnbYSOglo2jw9MzIO31lZ2euccePwm8SZu25iuZoNWDhbQWLRl4B4weu1Xn7AqtqS3g5Ghk9sA7h77lyeXb2aOo/neXy+dXFj164K+5lnntFs5T344EOW6qVffvnFceaZZ/beuHFjYnV1tTz66KM/z5gxQ88vECO6O0jTphERqfSbxN08a9b+Fmfl5mybxRy8MymJCydNYndVVdfeTucxcQsqTtTV1XHYYYf1P+mkk3Z99913365ateq7UaNGVcc7rvaITgKaNk1vp/PM4upq51UNTeI0wHUzZ5LqcFBcU/NwZzOXe/LJJzP79+9ffcwxx5QApKenezMzMy0Z+2ka0qlOHE37QkTsuzuBSVxTSbTbuX7mTMpqalILXK5L4x1Pa/L1118nT5gwoTzecXQEdBLQtFkKXK7rKurqEm877DDsHdwkrqn8buJEuqaksL28/HoR6TSXSt27d6/79ttvkwPvt2zZou9vNhGdBDRtEhFJ3lJWdlnP9HROHj063uG0WWyGwT1z51LldjsKfeZynYJzzz13944dOxz9+vUbOmjQoCHvvfdearxjaq/o7KlpkxS4XA//Ulxse3jBguY0iWtrbnMxxRNOfPTQoVz5zjsUlZScLSJXKqVadbL17OxUt9UneqyWF03jdDq977777o/Ntc3OjE4CmjaHiGTZRI4d2rUrc/r3DyUJPMMfmOXL6hWtrQl6S4+JOn2DuQwDPBYfEw3sg6Xy3eAt9j0m6nUExS8iPLZwIQctWWLk+8zlFlnYfrOhn+lv3+juIE2bo29W1r89SsnSxYtDLQ7lqxPp0c9gfTQfH0+U5aH0pPnnFB5FfcsqXBnmEcLmvxH1XpD7gA+BOt/7Bk/CTCsoYGyPHhSVli502Gw5McSv6eToJKBpU9gNI2/9nj1TpuXnMyY31+ybE85eIeCzY9bAvkoyeNSvjdC+PJH0+PXmitfsIwRAIjAfbKcAXUDZrfkWBfYlWnISL/AhGPcCG4G6IP3jixcrr1J01+ZymhjQSUDTpuiWmvo6wJKFC8NJrPajN6qkQ5QTqhUe7jdhLsdcYTfS9wDOAeMQEHtjfbiuH3Myi6gvAR4H4wWQSupdShnarZsc1rcvm0pLJ2pzOY1VdBLQtBm6pKSM2VpePuyIwYMpzMqChhWglX52sy+PFb25FW7ltxB8BRJROBHkWF8gVjyIzFjSrwXu8gnrtY8GzOUcjtdi2J6mE6OTgKbNYGtoErc/xGoPEetIU8vlpwK2FrSrqA16n5uRwW9HjGBbRUXfHunp01pqu5qOg04CmjZBntM5f2dlZc+zxo2jS0pKvMNp19w1Zw4Ow6DO43ku3rG0FSZMmDDwgw8+0CdWCPQjopq4IyLiTEp6Islu5+ZDD413OO0eZ1ISF0+ezE0ff9w13+U6dkNx8dMtub2nnhoxsqJiV7PVJamp2e7jjlulHzttJXQS0MSdfKfz7A0lJc7rZ84kRZvENQt/njGDez7/nL1VVQ+JyLNKqRYzV6uo2GU/44wzm628hx56MGq9dMghh/TdunVrQk1NjXHWWWdtv/TSS3dFW2fJkiVdLrjggt7l5eW2hx56SNtO+9HdQZq4IiL2XZWVt7mSkrhiypR4h9NhSLTb+evBB1NWW5ta6HJdHu94mpunnnrqlzVr1ny3YsWKbx988MGcbdu2RX0QoLKy0vj666/X3nXXXRvOOOOMwtaIsz2gk4AmrhS4XNdX1NUl3q5N4pqd302YQNeUFLaVl/+lo5nL3XTTTTkDBw4cMnbs2MHbtm1zrFmzJinaOscee+wegDlz5pSXl5cbu3bt0iccOglo4oiIpGwpK7u0V3o6J44aFU4W65M1lmfr8uMltm7RgO2EpbiSfDYSgcFpVggMYLPafeOppvEIYgDDMLj38MOpcrsdBS7XHRbLa/O8+uqr6e+//3768uXL165bt+7bwYMHV1VVVUWty4I9qJrRk6pdo5OAJm4Uulx/r/V4wpnEBdsrmD8LRfCy4BG+wZhHCMeit1q+AsgAORPo4RtBHEtCizaCuF50L/ADqOARxABHDRlC38xMNpeWniUi6TFsv81SXFxsczqdnvT0dO/XX3+dtHLlynoH0cWLFxe89957IZ8CeuaZZzIB3nzzzbT09HRPly5dIp1PnQadBDRxQUSyNpaU/GZYt27MDm0SF4mI9gpBf0Ppze9D6UNV+AEM01/zXMdmzH5FRjZwOhjzQBJ9KwZXPma9zfQ3lB1G4H29vgJ4FmzPgpSBcpviEREeXbTIU+f1Sr7T+RQdgCOPPLLE7XbLgAEDhvzhD3/IHTlyZEVg2XfffZeSl5dXF2q9zMxMz+jRowedd955+Q8++OAvrRZwG0c/HaSJC3kZGS8UlZaydNEiaNjqDYyWDdWlY/bxsaI3jwgO/BXCj8gN9vEJjCQOpw+2eQirF2AkMAB4HfgO8OzrWrI6ojhi/OuBO0Gmg5oI2EEJyLT8fBmXm8tXW7fOd9hsOXUez3YL27JMamq228oTPbGUF2l5cnKy+uCDD34I/nzPnj1GYWFhdb9+/Rolgc8//3xdc8XX0RCl2vXc25p2SGpCQkFVXd3P0/Lz+d/JJwc+DlRwVonmDRRunZbUW+Zb4DlabihxF+Bc9gW/dudOBt97L70yMr4oKimZsD9lr1y58peRI0dGfSSzM7Jy5crskSNHFsQ7jljQ3UGaVseZmPgawBLfVUBTieVma4BY+4Bjfbbesr4HvpZ6jOVbZjcNCx/UtSuz+/VjU2np+IzExEEttV1N+0MnAU2r0iUlZezW8vIhRw0ZQkFmZrzD6VT8fcECDBFStLmcxoROAppWxRD5t90wuH/evHiH0unIzcjg+BEj2F5R0ad7WtpB+1GU1+v16ucrg/AfkxYbmd1S6CSgaTV6ZWQs2FVZmatN4uJHvbmc17s/5nKrd+7c6dSJYB9er1d27tzpBFbHO5ZY0U8HaVoFERFnYuITyXY7Nx1ySLzD6bRkJCVxyeTJ/O3jj7PzXa7jNhQXx/zYqNvtPm3btm2PbNu2bRi6IRnAC6x2u92nxTuQWNFPB2lahXyX67yNJSV33zBzJldOC2lz35QncWKZNB7ATWwNH0uTwDclnr3A/b4BXi3Wmv5jmGBq3G6yb74Zgcqy2tr0ljSX07R9dBbXtDh+k7hbXElJXBbZJC7WEbWxVKBWZxtrqt7q7GR4gW9aOAEMInzhiXY7N8ycSVltbUqBy/X7lopB0z7QSUDT4hS4XDdUhjeJMw/k8gZ9FgnzKFsrevMAs2gtX/Pgr1j0AcI+iroVuB+8H1rUm7Zv3teweidwIniO8A0UC+gbxX/uPnO5P3c0czlNbOgkoGlRRCRla1nZJb0yMkKZxDWwV6DhiOBQFW+wvULwCN/91QfsGAIjkENN/B6sx6+L+FuqAV4Fz6PALhB3aH3wNsz+RhLidb3eAKaC91ygN4gjih2G31xOVbvd9kKX685IsWs6NjoJaFqUfKfzkRqPx3h4/nyv3yTOS/TKM9iXJ1RlGE7voWECCaUP9uUJtqAIp4/YCg/S49d7vwPuAL7Gd1MixDZCJb9Q/kYBGiSzXsB5oKYBDt/C4GMaKvl5jxwyRPXNzKSotPRMEcmwsF+aDohOApoWQ0S6bCotDZjEBc41c8UfqU88VMvXSh+6OSFYOb/N5UfTByeJaPcMZA/I84Df7jma3hx71KsLwBCQk4BMX+s/mt6c/MQQMZYsWoS7A5nLaWJHJwFNi5GXkfGCRylZunix+WMvsd0QtWquZtbH8rSLQX0D3bLecvluEFtsN7xjvlncxB+xAEzNz2d8bi5FpaXzHDZb96YVpWnP6CSgaRFSHI7CTaWl06YXFDC6R494h6OJwNLFi/EqRfe0tFfiHYum9dFJQNMiuJKSfCZxCxfGOxRNFAZ17cocn7ncuIzExMHxjkfTuugkoGl2spKTx28tLx989JAh5GuTuHbB3xcu1OZynRSdBDTNjs0wXtImce2LHunpnDhyJNsrKgpz09NnxDseTeuhk4CmWemZkbFoV2Vl7jnjx5OlTeLaFXfMnk2CzUaNx/Mv0bOwdxp0EtA0GyIiFbW1jyfb7fwtvElcrOecpQnX93MbsdhDQIxP8Hhb0B6iOQmYy+2pqurS2+n8bbzj0bQOOglomo18p/O8kpqajGsOOohkhyOUJFChmweARSIw4tdqIgiUG4s+liQTGFhmWd8VGA1ev2tdtPUCA9Gs2md4FfCmz4cIb/RjGlxuo4Fv106fTlpCAnurqh4QEV0/dAL0l6xpFkTEvruq6tbMpCQuPeCA4MXBI4SDRwSH0xsh9KFG7JpHFMeiN68D4UcEB48oNusjVrwCzAXjNKArKLu15BfN3qLBss9A7gF+8SWDSHpzWCFJtNu58eCDKautTSl0ua60EKumnaOTgKZZKHS5/lZeW+u4ffZsr91ms9JSbuR/00TMFWWkbpdQZnPB538oX55gf6Nweq/pb+B1fTdTDnA2GLN8I3uRhq1+Faw3bS84mQX7GwFQCjwBtudAKgF3Q30g1uD4zXYV9fpzxo+nW2oqW8vL/yQiiWg6NDoJaPYbEUnZXFZ2UV5GBieMHGmuuMJVbmbMFVHwZ1b0DSpDi/pI5725FR54H0kfvK9hyxdgPMj5QN/QZVgh4gjq7/H5FH1JfXa0UnYDaw7DMLj/8MPxm8vdFUNsmnaITgKa/Sbf5Xq01uMxHlmwANNDJW5a9oZoa9hDWDGLC2DDoiVGGjAXbI4Y5iBgXzKLqq8D3gCb/3LBavmG+e/iwYPpl5VFUWnp6dpcrmOjk4BmvxCRLptKSn49PCeHWf36xTscTTMhIixZuDBgLvd0vOPRtBw6CWj2i7yMjBc9SrF00aJ4h6JpZqbk5zOhZ0+KSksP1+ZyHRedBDRNxm8Sd+CMggJGaZO4DknAXC4nLe3VeMeiaRl0EtA0mXqTOH0V0GEZmJ3N4f37s7m0dGx6YuKQeMejaX50EtA0ia6pqRO3lpcP/tXQofR2ueIdjqYFeXjBAgwRUh0OfTXQAdFJQNNUXrQbBvcdfni45W3RKsH6+Z4KSAz7kByjPhFULPqQA7AjYI9RH+FB2B7p6Zw0alTAXG5mjCVr2jg6CWhiJs/pXLyrsrLHueFN4jzsO7esPGbpIfII31B6sP4YZ+BR0uh6A5iGl1MBF4I9ymOoAkxEcTaQDVH1ACMh43zo3hNlt1sYLDcYuBDoi8KKvi9wAWr1MFSdlWTQG/gdirGocMnj9sMO85nLud3/1OZyHQtRan8HbGo6EyIimUlJ5dVud8ruK64I9ggKjGT10jAJhBvMFdCbNZH0hNAEXgfKCrUNr0kfiK2xvjdwBIoUFA4MvMAnKP6H4G6wTz56AEfgxQk4MFDAlyjeQnDjQQXtR7Zf3wVIwFAKVq+G116Dujo8Xm+Q3gUswksugsMf61rgFaAGD54gfRowHw+FGAF9wc+w+EVUSiVee7A+GZiLh4HY6q80NgEvoChD4W64v1e/8w5//fBDBnTpcsq6XbseC3GsNe0QfSWgiYl8p/P8vdXVKddOn06yw2FuVYezVwhlTRCst4XRe/dDH9JegYYjgn3lJQNH4uG3gBPB4dcYwBTktHUvsyZhx75WeAIwDw8nA9kY9XoBxiFLu65g2MP32obedy9D7rmHWz79mBUF27yjHrofuiMkYDzzzDekpl7PoEEeLrwQ0tO3c//99+2LcBpezgHyoD4BAAwCLgDGIv5Wu6q/Gvkd0M+UMIBfCuGu85FlByB1dpPJ3Eh/OYNp2NXUCzgPYXp9+fXH9JqDDiI9IYEtZWX3anO5jkOsPYeaToyI2FMcjpuzkpO5ZPLk4MXRKoVgu4NoE8iHWhZJH2jdWy3fF282cBq+X0KY649Hli4EsLEWeA84EV8iCPHr+c9/fuCO+z/lrc+OJ7cmg6qX69STtlUy/JhuasOFJZSV10h6eiLLlhUxaFA2X3+9lQkTepGcXGQ79NDeuLJRxccgpBOonBsf1wRgDgZj8LXaFyN0Qfkr/0Z6jx3em4mxYhQsfgHVaybQCyUJYSw3/MmP4cDLKNYDoBLsdrnxkEM47/XXkwtdrquA60IfMU17QmdzjWUKXK6bKuvqEu6YPRu7zQa+CiQWawVzn7xVTxvzulb15nsSEVm05BnGTnqQoSPutT300PKQmunTH2P58s14+ns56ZMXGTbhXoaPvs92++2fNNLeeOOH3HLLLHJzM6AQks9zyOnnjlW2BMM2fnwun322CYAvv9zCuedOYNmyIgCWLSti1qw8Tj4bsWVC/dVFJHKAszDIsabfmwWPnorNUwj+BBCZDOB4bCTt6zo7e9w4cnzmctdoc7mOgU4CGkuISOqWsrILezud/HbECPOidn1T6dGzF/LlZ2e6ly8/g7vu+ozduyvDales2MbmrWWsXn2u95tvzuHkk0c10qxevYOxY3P3fWCn/ld2wAF5LFtWREVFLYYhTJ9e0CAJTJmSh2FATLddo13vhNCrWG/rmmqJIHO5u2MsSdMG0UlAY4l8p/PRWo/H+HtDk7h2z13/+YyRY++3T5r0CEVFpfzww+6w2j59Mlm/fi/nnfe6vPHGD2RkxNYQnjKlN8uWFfH555sZP74nfftm8eOPe9i5s4Ly8lr69Mna391pFRYPGUJ/n7ncaSLijHc8mv1DJwFNVEQke1Np6a9G5ORwSN++0VdoJ/zv5595+5v1LPvwVPfKlWczenR3qqvDG41mZiazcuVZTJ9eoO699wtOO+3fjTRDh3bjyy+3hFx/0qRefPHFFj76aCOTJ/cCoFevDJ59djUHHJDXPDvVSixZtChgLvdMvGPR7B86CWiikpeR8YJHKZYuXhzvUJqVkpoaMlOTSU1JYO3anXz66aaI+l27KvB6FUcdNYTrrpvBV19tbaS58sqpXH75f9m2rQyAmho3d975KQDp6Ynk5WWwZMkKJk/2VfqTJ+dxxx2ftrskcEDv3kz0mcvNcdhs2jiqHaOfDtJEJMXh6FPtdh84s7CQkd07lpHk7H79eGDtckaMvc8+cFA2kyb1iqjfvLmMk09+Ca9XGQA33nhII83cuQPYvr2CQw5ZilK+/v2TTx5dv3zKlN68/PJa8vJ8vSiTJ/fiD394p90lAfCZyw285x56+MzlxsY7Hk3T0IPFNBHpkZ7+3fby8kEbLrqIPGfI7l8rg7v2Rx8bBuCNYRvD8A2wSogppsYDxyITbiBbI8qAO4ntkatYuYoYW3//h6IydPzzn3qKV3/4gcykpGF7qqrWNEuAmlZFdwdpwtI1NXXitvLyQb8eNixcAjCPxLWCaoI+1OvQDAF+DdjrZ/mKTD9gDgqHRf2+OGKZdSww21hU/Q7gSfD6hbGUb0mfBhwLHv/waqv76yEXCWdXETCXS7DZtLlcO0UnAU1YbCKvRDCJM0/wHngfqSIKpY9UEZlHCEfWZwIn42URigHA2UDPCD476cBxePgVipR627fg+IKJZXyDWW9pOsg3wfswsKNx+eFiCj4WwRPeN1gwEdTvgL7+J1Algr7Rdo8FZuMbpCYNv+Pu6emc7DOXK+iblTUrTFmaNozuDtKEpFdGxpGby8qeu3DSJG6fPdvcnRGpqyXQTRKrd5BZH97bJ9hryAZMxcsUDGx4MUwVrgJWA68BdXjwYqu3V5jhN4YzwlbQ5phD+RsFxxTqiiiSvn5u4e+Bl0HV+K4AQunN5nchywixXcMfs9/eCK/P3ii6PsI2oQJ4DQ8/YDPP1lxaU+PtdvPNRmpCwp49VVXZSlcq7QqdBDSNEBHJSEwscXu96bsuv5xkhyPYhdOKwVugYmkZfRdsHI8iBa+/Oyc01cCbeNiAjeNQZPjN4aLHEzClszIZvDlxQfSrBeUBeRa8v4C4Lej9ZVq+twAwG9QYEIsu1OZ9jbydX/DZVZQTcC7y/vHdd43rP/iA3k7nyRuKi5dYjVETf3R3kKYR+U7nBaU1Nel/OuiggEtoKEO4SAQq0Fj0sZXfH/z+OpH1ScBCbPwWyLSUAMwxWEkABGks2WGUAr+AYSEBmMuMaZTeeOsJIFC2YXodngLgAoR9Y+WMP06bRnpCAnuqqu7T5nLtC/1laRogIo6dFRU3ZSUnc/EBB5gXWb2R2FR97KgYLCuywG8OHdsWWlAv7dlyw4bvHoGfBLudmw45hPLa2uQCl+vquMWliRmdBDQNKHC5bqp0uxPumj0bm6FPD411zvSby20rL/+jNpdrP+hfuaYev0ncBb2dTo5taBKn0UTFMAwenD8/YC53b7zj0VhDJwFNPflO55Jaj8d4dOHCDmUSp2k9Fg4axIAuXSgqLT1Fm8u1D3QS0ACQYLNlF5WWHjUyJ4eD+/SJdziadszj+8zlno13LJro6CSgASAnLe1Fbwc0idO0PpPy8pjUqxcbS0pma3O5to9OAhpSHI6+m0pLpx5cWMiI8CZxdmJ74seO1adfcoEDAJtFfVd8g77CD/YKhZfYLHNitcSwPJsZQAJ41L5n/63GY/4bVV+NaU7h6ATisK5PQ8I9cRVoTOSkpr5msTxNnNBJQIMzKel1wecRH4LAhO1mIlUUoawjQusTgQV4OAk4BAlnTVCPA5iNh9MBJ+an2SPZVQRv24q9xf7qo1akqcDpQA4oe3R9KMuNqPoHgPWg6izqLZYNAUuP44GRqFCptX+XLswbMIDNZWWjM5OTh1koUxMn9IjhTk52auqk3ZWVnxwzbBhPH3WUeVEoS4cAoawGItkrNNYPBeYBDjx+AwgfYawJ6A8sBBLx+A3igstviqVD8MjYcCOEQ9lhBD4nhD7csWt0HBTwFai3QOp8Vwe2SPow+xHuPeDzyVsIKgm8dgt6U2jBxy60pccW4HkUpSjc+/Z3W1mZt9dttxldU1OLtpaV9Q6zHU2c0Umgk9M1JWVbcU1NzvbLLlNZycmBiivQTWHlStHDvgohml7hxMuRCN0RHBasCcDLAoTeCNEnR1emf1a6cswtcKv7GqgEo9srNOwiCpdQAagEXgPP92BzR07AweVbqtTtwEzwjgPD7ptm2IpFR7AdRvguMi/wGYr3EOrqzyHvGf/+t+3hr74iNz191ubS0v9G2JYmTugk0Inp7XQeXVRa+s+LJ03i1tmzAx/H5E8Ts34OXsZZ7M33ABtR5AOG5W1Y9e8JXqcl9ZZZC/yjJQr20xU4kxac0KEMuA+fZxNQVlND15tvJsXh2Lu3urqLNpdre+h7Ap0UEZGSmppHUxwO/nrwweZFsVorxDb/iYGyfNbZgEIkhgQA+1rQsRDrHC4tZifRi5ad7m8nTfLzsL6/6UDKvk2kJyZyxZQp7K2uzuztdJ4U+6Y1LY1OAp2UAqfzotKamrQ/T59OkiMGmzGNJkaumjaNDJ+53L0i0nKzymmahE4CnRARcWyvqLgxKzmZiyZPjnc4mg5Ogt3OTYceGjCX+2O849E0RCeBTkiizba6yu1OuHvOHG0Sp2kVzhg7luzkZH4pLr5GRAbFOx7NPnQN0MkQkbQaj2cAwHXvv89Pu3fHOyRNJ8AwDHLS0gAkSc9H3KbQSaCTke90LgEocLlYu3s3/e++m7NeeQWvt+Xt/zWdly2lpXy7cyeGCHVebx9tLtd20EmgE5Fgs3UtKi09clT37vx84YU8e+SRpDgcPPjll3S5+Wb+se0HtnXDULE9/WKeRSwyKUABRkyTwUSfAD6UPlY7iVhuVsZavuXHSRW+R0Td0YT7SayPQhHr47COBmMLADj2+edRwFUHHohHKcl3OlvySVhNDOgk0InISUt7yasUT/h9XX49fDjFv/89vx4+jOLqan7zwFNMWfqorM6qUnV2S1YDgb9eolXUY1CcD2TiJbanFJuit2qBYB5cFli3OfWBWAL6sPXvHuBR8LzZMOZo9bXZ0iOavUV9eU8DJT47iWjxm8uz8j349Eeh6I7C7tOv3r6d9zdsoFdGBn+ZOZPJPnO5wxw2W26U8jStgE4CnQRHiqPvptLSAw7u00cNy8mp/7yor40JHx2lzvvqbI+rwMX6Tzcy6pL/M07a+aFUJYHHCFmxmCs2A19LOjDKuKG+G3AWXmajSARs2JAGc/iG8xoyz1Fs1oeqiDxBesOCHn/MwfpQicOsN9s4hNN7w+gb4QbeBe/9wCZrk84HthsoX0K8DuVnVE8RcBfIR0Adlk3mzPsRSr9vG9kIZ2AwF4MEOOb55wF4dOFCAG5YfB4KwZme+6aF7WpaGD1iuJOQ3iN9XcX2igH/vfdCz7Q9TltNIrx6OJ6f+mFzm4YJfHTzR7x79bt467y4eju5/6JjPEdWdLc5fF4GHonedeKzGnCgOBgvY7BhRyFhKzezLw9Et2MwWyqI6XW4Bo3Z08gwvY62H2ZNNH2wz44VvfoZjBdBVYLXE92+AfYdm2hdUmZ9OH8jAFzAIvDm+ialDz6u4Qg+lmET3Tuv/cQh855gaLeufHbOZbzK4Z4f6W974pmjWbfuZZKSXCOqqvZ+E2FbmhZGJ4FOQFpO2pSKHRUfDT92OEc+dST5v0BtAmzrjleFMHCoKq7i2UXPsuH9DQCMmz+UtycsVhkeuxKrV49zUIwB7C1m9xCrPpoPTzBWEkWTyy8D751gxNA/31RrC0vrDQaO8gkDvkJWibjfvXvfRlFRKStfP4uvv76cDXW9vQqbUV6+g1tvzSUlpcvG8vLt+TFsT9PM6O6gToDX433BcBjMvXcuABsKYGtu6AQAkOxK5uT/ncxxbxxHUmYSy19ZQ4/rb5Jnv/nG+vmShCeGBBAgVnuIWFowBrHdc7UR2z1Uc6s7Km4wjNjib+qxtLTed0CtTxxrogl7Tjz55EqKikqZOrU3I+Z0pyor2aOwGQBpad0YM+ZUKip29E5Pz50VwzY1zYxOAh0cV77r11W7q7pNPH8iya7kmNbtf1h/Lt91OePOHkd1bR3HPv88Yx54gC2lpS0UraYjccEFbyACzzxzZMjls2bdis2WiNtd/azoSa3jhk4CHRgRkeri6kccKQ5mXj+zSWUYhsG8++bx3k3nu4d07crX27aRd/vtXP7WW3psgSYsf/vbh+zZU8WiRYPo1Sv0kIDExDSmTr2C6uq9mU5n/imtHKLGj04CHRhXgeuSmtKatBl/mYEjaf9M4np3y2LNuefy8Pz5JNhs/N+yZfS49VY+2rChmaLVdBTcbg9/+cv72O0GS5YsiqidNu1qEhMzqKrafY82l4sPOgl0UETEUb69/IbkLslMunBSs5V72tix7L3iCuYNGMCOigoOfOwx5jz5JJW1tc22DU375qKL3qSqys3pp48hIyMpotZmc3DooTdTW1ue5HIVXttKIWpM6CTQQXEVum51V7kdc++ei2Fr3q85yeHglWOPZdkpp9AjLY03fvyRrJtu4v4vvmjW7WjaH+XlNTzwwHKSkuzcddccS+uMGXM6aWk9KCvb8gcRiZw1NM2OTgIdEBFJK91Ueq6rwMWw34Sd4zumG3FKGj8uObl3b7Zceil/OPBA3F4v57z2GoPuvpsf9u6GLjGfW025MRjrOrF2N8S6DzHpvS00O1lTSKFJk9k0iv+kk17C7fZy9dXTsNv3He7aWgcVFakhj49hGMyb9yAeT43N5Sq4P/YwNPuDHifQAXEVuF4o2VCy+MT3TqRwemE4WeD5bivPw6u8DXh/9S+MpGq8dk9j/bayMuY/8wzLt2xBBE45aYx68OF52GyGFa8d8whbq3rzI6LR9Oa5gaMNhArobVgbOBWstzRxpgLba+BdCYaF51aDJ7qP9ux/8BzFEeMaA2qWb7CYEhCxvh8NzqFNm0ro3ft2XK4kdu26HMNvU7527QBeeWUBlZVJXt+TsRLynLvnnkHs2fOT8nrdWUqpYgvb1zQDOgl0MGwJtq7Ko3bkjMzhrK/OCl4canRnpCTQYJm9Dma8i3f8cgy7O2hQURIwG89z362xnXz6y5SX1+J0JvLEE0d4588fGK4iCpRvrtQiTbIeqhI0jwgO3o9IlWAofbhtB48IDia4rGijeuv1W4AXwFuCb+xACG2obUcaBRxq2yGTWTfgCPBmAY6G+kijgEOV5QFsBx30GB98sIElSxZx4omjKCnJ4OWXF3iKinobbrcj1DnXIJlt2vQ5jzwykS5dBnywa9e6g0JsW9MC6CTQwXDmOZeVbiqdfPY3Z6ucYTmBysBKizCUbUNIffZOOOJ5vF12Q4Ibg+HAXMCBBxs2t9vDSSe9xNNPf4NSMGVKHi+/fIy3S5eUkJVHmHiCK6IWq4j9RLRXoHECinaVEHzMw1asXuBzUO/6vIO8yvoVmnk/LOsdYDsYPGPAZo88Qth8zCNehaxatY2RIx+gV68MNmy4hE8+maz+97+DxO22+1v/IWl0zv3971MoKvoEw7D18njqNlvYH81+opNAB8KR4ujnrnL/0OfQPpzw1glgsTvAhHWrAQUjV8C8arCNQ4mjsX7Nmu0sWPAM69cXY7cb/OlP07nqqmkx7lWT7RKsYrWLZX/1Ub+DMuBl8PwUY9cSMSaBc8HmAo/dmt5S/MOH38fq1Tt4883jvbt3X2WsX9/H63Y7Yj7ndu/+ibvv7k96eu7K0tJNoyysr9lP9I3hDkSiM/F1MYRFjy0KfBRLAoB93SrRKzeBlaNh/UTcoRIAwNChOfz004XccsuhiMDVV79L7963sWLFVovh1McUqz5Wuwdr+7xPH7gKsKq3NAdBOrDI1zoPrGcFW9DfqHonYDEBBOKIGP877/zE6tU7GDq0K7Nm9TV27cq2mgAg6Jzr0qUvgwYtpKxs88jk5MzhFsvQ7Ac6CXQQ0nLSplRsq+g/7JhhZPTMaLXtKgtn0CWXTGHXrsuZMaOAoqJSRo9+kKOP/ie1tS09fYpl9OXwfnDyyS8D8PTToe0hYmXevAcRsWGzJbzWLAVqIqKTQAeh3iTunrnxDiUkGRlJvPvuSbz55vGerKxknnvuWzIzb+Kpp1bFOzTNfrB06QqKiko58MDejBjRvVnK9JnLnUZFxY68jIy82c1SqCYsOgl0AFy9Xb+p2l3VbdIFk2I2iWttZs3qy86dl3HeeROornbz29++wKhR97NpU0m8Q9PEiNfr5cILfSZxzXUVEOCww3zmcnV1Fc9oc7mWRSeBdo6IGFXFVY84Uh3MuG5GvMOxhGEY3H33XNavP59hw7qxcuV28vPv4JJL3tSmdO2Im276iL17q1m8OLxJXFNJSEjlwAOvpLp6r8vlyj+9WQvXNEAngXaOM995SW1ZbeqM6/bfJK61yc/P5JtvzuGRRxaQmGjjtts+oXv3W/jgg1/iHZomCm63h+uu+wC73eCxfQ8iNCsHHvgHEhMzqKzcfac2l2s5dBJox4iIo2JHxV9TslOYdH5Yk7iWnNiFpGYo/9RTx7BnzxUsXDiQnTsrOeigJRx22BOUl9fEWHSTaVPdDW3wLnWj43PBBW9QVeXmjDPGNjCJUwrq6uzNcs75zOVuCZjL/SnGMjUW0UmgHeMqcN3mrnI75tw9J5xJXKx9K+ZHJSPWRanAr8HTE2zK+rYCA6Ya6ZOSHLz00jF8+ulp5Oam89ZbP5GdfTP33POZed1oBMq0OitYrHqzTUUsxzYwuCwqyUB3UHbr5SvTP0v670DVWdd7g8suLa3moYe+JDnZzp137rtvu3t3Fn//+6ne8vK0wCpWthHxnBs79rSAudyV2lyuZdBJoJ0iImmlm0vPdRW6GPbrRiZxZi8eMX0WrmIJpVeE0Y8DdT4wAMROg2ZcLI3YkBXXxIm92Lz5Ev74x2m43V5+97v/MGDAXaxdu7NJ5UWIKfjzaMmvUWVo+tyK3vw9hMIDKBtwKsjhYCQARmR9oFzz9xYumdXrXwR5FqQMlNuCnqBz4uSTfSZxf/yjzyTO7bbxzjszvQ88cBabN+eKUrbAIOSw5xDhz7kGx1hEmD//ITyeGlvXrkMeC1OWZj/QI4bbKa4C14slG0oWnfi/Eyk8qNA8ICySvUIoO4ho9grgH42ag89rJpNGXjMh9f7X0ewVguOtt1fYsaOc+fOf4fPPN/tM6U4ZzYMPzldBpnSRfG4C2ydIH6l/OZw+3Ajh4P2LNqI4ON6wI3KrgNfBsxZsphEVES09IsTbaL/twEHgnQhGCPuIkMepqKjEm59/uxEwifvll7689NIiVVmZ7PV4HM1+zvlfe++5Z7CxZ8+P2lyuBdBJoB1iS7B1Ux61vfuo7pz55ZkQu5WBVYuBev0EsB0CRPGaCVW+lZjMFUSjyu3557/l5JNfoqzMZ0r3+OOLvQsXDgqrD4E5hpj3vYX00SrzejYCz4Mqtaj3Y/mc6IIvuXcHQ6J8v9OmPcqHH25kyZJFnq5dr7R9/fVo3G5LDyTsz3FUmzd/IQ8/PAGns/fbxcUbDo2hHE0UdHdQOyQtJ+1l5VUsWroo8FEsCQD2edNYxTbIZzyGhQQQKN/cnRCNQPyB1w048sgh7NlzBSecMILS0hoWLXrWOOCAR9i5s8JqhdhaCUDFoA/EFDX+3sCZPotnS/qgcqMe/93Aw35L60jf76pV2/jww43k5WVw4omjbOvWDVQWEwA04ZzDdA717DmevLwplJQUHWKzOXrGUI4mCjoJtDMSMxIHlm4qndRnVh9yhua05qZjvWRs1ktMu93G448fwZo159K3byaffLKJ3Nxbjb/85X9xi6kZyrest9HyjzBFq6GPPfZ5AB57bGFTN7Ffx2fx4qUApKZ2e72pAWgao5NAO8OR6nhVDGHRo4viHUpcGDy4Kz/+eAG3334YhgHXXvs/8vJu46uvtsQ7tA7Nf//7E2vW7GTYsG4cfHDfuMSQldWHQYMWUVa2ZURKSvbIuATRAdFJoB2R3iP9wIptFf2GHze8VU3i2iIXXjiZHTsu9x58cCGbNpUyduxDHHXUP9qSKV2H4tRTfSZxTz11RFzjmD/fZy4nYrwS10A6EDoJtCM8dZ7nDYfB3Lvbpklca+N0JvH22yfy9tvH06VLMs8//x2ZmTexdOmKeIfWoXj8cZ9J3LRp+c1mEtdUUlO7MnbsGVRW7szLyOilfwjNgE4C7QRnb+cxVburuk66cBJJTj1mxszBB/dlx47LOP/8iVRXuznxxJcYMeI+Nm4sjndo7R6zSVy8rwICzJr1f9jtSdTVVTylzeX2H50E2gEiYlQXVz/sSHUw87qZ8Q6nTWIYBnfeOYeff76A4cO78c03OygsvJOLL35Dm9LtBzfe+BHFxdUcccTgRiZxSsWn/k1ISGXq1Cupri52OZ35Z8QliA6ETgLtAFeB67LastrUmdfPxJ5oDyUJDL23WtuZnyG3pN8K9toYrAnwjUWKhabUKI32oXdvF6tWncOSJYtITLRx++2fkpNzC++993Mgplj2IZbHGs2DvqzqLc2CVgw8Ax5/wVZnTQvorMbj2QnUmfRut4frr/eZxC1ZsqheWFvr4PXX53jKytIFVCz7GxjEZlUf9vs68MArSUx0Ulm56w5tLrd/6CTQxhGRhPLt5denZKcw8XcTo8r9fyP9MM1D863q+S/wIkglEMFqIFCW+YeriF0fKR6PFf2JJ45iz54rWLRokNq1q5KZMx+XWbOWUlZWE81nJ3h8Q3PrzXYJEfEAH4L3XmBjY300Owyr+nqWAB8Adb4gveef/x+qq92cddY40tISAfjuu4HccceFfPnlGP8mpKnnXKRzIpTdRgO9zeZg1qxbqKurSMrOHnRDlF3TRECPGG7jZBZm3lP8S/G5Rz17lBr262HBw/rD2SWEWhZNH9yaCjlQKgE4BDyjfHPhmkeXRrJXCDV6NdKI1lBWCpEmPA9nTSCAd/nyzcaiRc+yeXMZCQk2br75UC64YFJM+x1hWTh9KGuESHYJDZYVAS+AKvf5+4TSB9tbhPvMvCzYviOkpYcTmFlS7RmbfbPN4TAoLb2S8vIsXn55oWfTpp6G250QyznXHMfSvKz+fFHK67nttjxbZeVuj8dTk66UqgqzriYC+kqgDSMi6aWbS892FboY+quhwS2uSH48gbFFKgY9IfSNqAVeB9ujwC5fBeUNakaEWi/YMyZUyzCaPnhZqG2GKt8YN64nmzZdwrXXHoTXq7jwwjfo37+BKZ35asSq5UM0fXBlG6i8wv3m6h3XXgTvUqAYJEwCgMb+Q4EyYtU3Ov4lwK9Pfsnmdnv5/TUHsfzrid577z2XDRvyJUwCgPDnXDhCnXORaKQXMZg3z2cu53IVPGChDE0IdBJowzjznU9467zGoiWLMD0EYQT9jYT5R96s+m3A/WDs3LeClcrT3PK3og9ULJEqt1D6wLYa8Kc/zWDr1kuYNKkXP/64hyFD7rWdfPJL1NV5IHKFZS4/gFU7jMBfS/oKYI3fwsECwftq9b5KRH3xxmLWvrSW5Kxk7L8/kHfeP8hwux0oZbTUORfA6jlUrx848HCyswdTUlJ0vIhkWlhfE4ROAm0Um8OWU1pUurDH2B4UTCswL2pp+wbLj9IooDT2OQtao/8xbEzZ2al88slpvPTSb0hPT2TJkhV06XKz8fLLa2Mpv0W/g3g/8/jCcS+Agtl3zqYOcCtp6XNuv87RxYuXopRHnM7e/4qxHA06CbRZ0rr7TOIWL10c71A6JAsXDmL37ss56aRRlJfXsGjRs0ye/Ai7dlXEO7S4snXFVjZ+tJGMvAxG/rZ9ODP07DmO3r2nUlJSdLBh2HvFO572hk4CbRC/SdzEvof1pduQbvEOp8Nit9t47LFFfPvtue5+/bL49NNN9OhxK3/603vxDi1uvPDbFwBY2HSTuLiwaNHjAKSl5WhzuRjRSaANkpCa8JoYwsJH29cPsb0yaFBXfvjhfO64YzaGIfz5z+/Tq9etfPHFpniH1qr88OYP7Fyzk27Du9E3TiZxTSUrqw+DBy+mrGzL8JSU7NHxjqc9oZNAGyO9R/q08m3lfYf/djgZuZ3bJK61ueCCSezefTmHHtqHzZvLmDDhEY444lmqq+viHVqr8MppPk+2I58+Ms6RNI158+rN5f4d71jaEzoJtDE8dZ7nDIfB3Lu0N1Y8SEtL5K23TuC9904kOzuFF19cS1bWTTz22FfxDq1F+eqxryjdVEr+QfnkDGvVeSqajdTUbMaNO5PKyp29MjJ6Hh7veNoLOgm0IVz5ruOqdld1nXzx5EgmcbHYQ0BsVgYQg1VCHtAb7Cq2pztisauA6CNwQ+ljsREI2BM0YPr0QrZvv5SLLppETY2HU075NyNG3MeGDcWBQVFWCVh6WMK+b9xFLPYKsegDuvrv2Ov18tbFb4EEXQUoYOUIqEqKxR4CWvCc8xPWTuLQQ2/2m8tVanM5i+gk0EYQEaNqb9WDjlQHM/48I5TES8MffLQfvXkAlJUKwmzHEHG9ZOAI8Bzvf21xO+Zh/40qohCEWmZFb47BqjVBSL1hGNx222w2bLiQESNy+OabHfTpc6ftggv+g8fjjWaHEWp70So6lQTqNKArKLsFfdDrWM8JBfDhDR9SXVzNkCOH7OuC3NUFHj7Ny6vzFMoGWHpMNNQ5FKs+1nOogT4hIZVp066murrY6XT2PtNCDJ0ebRvRRsgszPx98S/FN86+fbaadOGk4NGm4ewVQtkQRLNXCGVlEG4C80Y2BCOBOYAdPLbGLe6QNgR+wtkEhBpIFagwY9GHsmMIZ0MQzl4hnPWFF5ClS1fI2We/RmVlHV26JPPss0d5Dzmkb6jvJlyc4b6bRnoFLAf1X9+oYa9qrI90tRO8PKylh8ft4cb0G/G6vVyx9woSE1Phfwd5+XyigduuTN5A5tCCv5sWPeci7FdA3+Cc83jc/N//dcXrddfW1panKqX0TEMR0FcCbQARSSjfVv6XlK4pTPjdhODWfiR7BfNnsdgrBPTmlmEofX3FlAXeM8B7OHgTgRAJoIEe3w82mh2DLUgfaBmGG1FstiYI6AP7FSr+YKuBaPYKkfRywgmj2Lv3Co48cjC7d1dx6KFPGIcc8jglJdWhvqtY7DAa6QUYD3I+MMB3VdAcNIrp9d+9jrvazbizx5G4c6DirvMVn01SuB2ESADBsVo958x2FZbPOaydQ8F6j81mV7Nm3UJtbXmC05l/XYh1NCZ0EmgDuApcd7ir3Y65987FsBmBEz3w44nWv222ALBir2AEvY6mF4DZIN3BcFg/ZwI/zlisDKzaKwT202osQsNYom0jOPZ6fUKCneee+zVffnkGvXpl8M47P9Ot283Gbbcti8UuwWyHEVGfBvwGbEc1Xj9a+VH11aXVfPXwV9iT7Rx222Hwr6OF8nTBY2/uc858HC2fc8R2TpjLl9GjTyE9PZfy8m2XiUiyxfU7JToJxBm/SdyZmX0yGXrU0P0pqkWH6tvBE+NdtphuiPqJRR+4IohFH0sffsQb8GPG5FJUdDF//vN0vF645JK36Nv3Tr77bme4VUJhOf4Cmv/H+uKJL6I8iul/mo7NbgNvzFtoMUsSP7F8X4HyBUBEWLDgkYC53EMxltOp0Ekgzjh7O58MYRKnaSdcc810tm69hAMOyGP9+r0MHXovJ574Am53rPVX61K8sZh1L68jOSuZqZdPjXc4LUL//nPo2nUIJSVFx2lzufDoJBBHbA5bTumm0gU9xvYg/8D8eIcTkr2/7OXeYfdG1V1zzbu8/fZPlsv9z39+YNy4Bxk8+B4GDbqbSy99U4qLq+jS5SYCDyt88kkRIn9i06YSAEpKqsnK+lubmy4yOzuVjz8+lZde+o03IyORpUtXkZV1E88//228QwvL88c+X28S11ysXftvPvzwb5b1u3Z9z5NPzuXOO/txzz2D+ec/f0V5+XYeeGA0W7euAHw3ef/611RWrnyyfr0HHxzLli3Wxm0sWuQzl8vIyHsupp3pROgkEEfSuqe90lFM4v7yl5kccog1q4HVq7dz3nmv8+STR/Ddd+exevU5FBZmKpcrme7d0+q7VJYtK2L06O4sW1YEwKefbmLixF4YlhyNW5+FCwexZ88VnHrqaMrLaznqqH8yceLD7NhRHu/QGrB1xVaKPi7C2dvZrCZxgwYt4MADf29JW1dXzdNPH8748WdzwQU/ct553zF+/NlUVOwkL+8AioqWAbB9+0q6dBlY/762toK9e9fTvbu1uHv2HEvv3gdSWrpppmHY85q2Zx2btvlr6gT4TeLG95vdr82bxHndXi454QXbiBH3cdRR/6CysraR5qSTXuS559YA8Pvf/5chQ+6xjxhxH5de+mYj7c03f8xVVx3IoEFdAZ+R27nnTgBgypS8+kp/2bIiLrpocoP3BxzQtn/HhmHwyCMLWbfud/Tvn8Xnn28mN/dWrrnm3XiHVs8LxzXNJG7FiqXcd98I7r9/JC+8cHyj5V9/vYTXXjsPgDVr/sW99w7j/vtH8uij0xppv/nmaXr1mszAgfPrPyssnEFOzjDy8qbUV/pFRcsYN+4stm1bAcDmzZ/To8cYDCPavet9aHO5yOgkECccqY7XxBAW/H1BvEOJyu51uznmjHHeVavOISMjkfvu+yKsds+eSl58cS2rV5/rXrXqHK6+unEFsHr1DsaOzQ25/gEH7EsC69fv5eijh7B8+RbAlwSmTGnbSSBA//5d+P7787n77jnY7QbXXfcBubm3xN2U7oc3f2Dntz6TuD4z+1heb8eONXz44V858cR3OfvslcyefWdE/fvv/4Xjj3+Ts89eyTHHNLby2bFjNbm5Y0Oua74SKCpaRn7+NOz2RGpqyigqWkZe3hTLcQNkZRUyePARlJVtGZaS0mVMTCt3AnQSiANp3dMOqthW0XfE8SOa0ySuxZ7EycjLYNTU3oYCfvvbEXz00cbw2oxEkpLsnHbav23PP/+tSklxxBKTmjKlN8uWFfHzz3spKHCRlORAKSgvr+HLL7cwYULPem0s+0DsdhKhBp9Fo5H+vPMmsmvX5Rx2WF+2bi1nwoRHWLTomYApneX4Y30UKhz/PtVXIR/5TJBJ3NbuUBd+NMLPP7/LkCFHkZqaDUBKSlYgrJDk5U3hpZdO4ssvH0ap+pvklo5nZmYBHk8tZWVbbbt2rSU7eyC5uePZtOkzfxI4INyqgQFxjZg/P2AuZ9PmckHoJBAHvHXe5wyHwZy75oRaHDw0PtpjJsGDy6LdNfUGvY6sVygR4T+gtoDX7X8fDrvdxuefn86RRw5WL720ltmzn2ykGTq0G19+uSVUXN7+/buwd281r7yyjsmTffODjB3bg8ceW0FhYSZpaYmBfY0eu3kvGg5ssmqvEIvePKipQVxpaYm88cbxvP/+SXTtmsLLL68jM/MmHnnkq4A+2nfsSQC1GEgEDAv6UO+/+vtXlG0uo2B6ATlD/SZxNQnw6uEeHj0FvLbAPjcq33ezvv57j3rOzZ//ADNnXk9JSREPPDCKysrdmLTebt2GsmXLl+HiV3l5k/n22+dIS+uBiKhevSZRVPQxmzd/Tq9ek8KuR8PvoZ6UlC6MG3cWlZU7ezqdefMbr9p50UmglXHlu46r2lOVPfmSySRlhDWJCxA8OjOYSKNOQ1WQ5jLqB9ZE0HsBVbKxhFWfFBmPgPF/z66WiVN74wlZUeAtK6vxlpRUc/jhA4w775wtK1ZsCyyu11922QHccMOHrFu3ywsor9fLbbcts+FvqU+e3Is77/yMyZN9XT+TJ+dxxx2fMnlyXmB/A4Pook1WHjyi2LCoN0LoQx3/4BHI4UbSAjBtWoF327ZLueSSyd7aWg+nn/5vGTbsXn7+eW+IouvLCZQvw4ELgGGEcLyLgtfr5c1L3gSBI546wlfyt4Phjgvh61GYRgiHPOf69DmYNWv+SWXlLgWoyso9mLR+/T4Pmj17fqJXr4nMnPkXlZKSTUlJEZgGfw0ffixFRcv4/vvX6mP84Yc32L59lRdQeXlT+PTTOyQvbzKA5OVNZuXKpaSldSc52dVg10xxGjQehV6PyVzuaW0ut49mGo2usYKIGAnpCQ8lpCUw49oZZo8Us/9JcJeFuSKCfYOeDAt6ZdIHj1KtDyuofEx6A4HswdmseHwFr5z5Cl36d6Hu7HGsBoYADt+KAQ8YKS+vlYULn6G62o1ScPvtjR5BVCNGdFd33DHbOPbY543KyjpE4PDDB9QLpkzpzeuv/8C4cbkAatKkXqxfv1f8N4Wj2WeE8qMJxuxkGs2HJ6APYPbhCWfpEc63B8MwuOWWw4wLL5zE/PnPsGLFNvr1u8t2zjnjueOO2cpmMwK+PCEtLpKBxWAbD7wAqgyUu6FrZ6AibBDPB9d/QE1JDUOOHqIyknsLSxZ52ZIruB2Wzrlu3YZ6pk37g/HYY9PFMGy27t1Hs3jxkoDefA4JwFtvXar27PlRlFLSp8/BwU/ziMORzLHHvuJ5442LbG+8cSGG4SAnZwRz5twhgPTuPYU337yIXr0mA5Ce3gOv12PuCqo/50Ic/2AUoBISUoxp065W7757dZrTmX82cF+U9ToF2kCuFckszPxD8S/Ff51912wm/W4SRDbSikSb0PcCjgWSQIn1/u1IXkjNpY+llRfXY/nUU6s444xXqKysIysrmWeeOco7a1ZfS+V7gWWg3tl3yyDkfrtr3dzovBHlVlyx5wqV+MBVQmWyF2J61rZNnHN+mnwOBczlPJ66mrq6ijRtLqe7g1oNv0ncn1O6pjDB/zgk1r1mzMR6wzLWH6Nlv/xNwEZwx5AAAvHEag8Rqz6W4boGEEtFEKtXvvmqoxHHHTeCvXuv4Oijh7BnTxWHHfaEMXPmEkpLqy0VfIAFP6T/nP8fPNUexp8znsT0RKE2gRgTQJs550z6WB8KEACbzc6sWbdRV1eR6HIVXB9DGR0WnQRaCVeB6y53tdt++H2Ht9nBTpr4kJBg55///BVffnkGeXkZvPfeL2Rn38ytt36832VXFVfx1SNf4UhxMOvWWc0Qbftn9OiTSE/vSVnZlku1uZxOAq2CiGSUbio9I7NvJkOOHBLvcDRtlDFjctm48WKuv34mSsGll/6XPn3uYM2a7U0u86WTXkJ5FAdde5DPJE7jN5d7GI+n1uZyFTwc73jijU4CrYAz3/mU1+2VRY9pkzhNdK66ahrbt1/K1Km9+fnnYoYPv5/f/vb5mE3pijcWs+7fHdskrqn4zOWGUlJSdKyIZMU7nniik0ALY3PYckqLSufljsttsyZxmrZHVlYKH354Cq+9diwZGYk89dQ3ZGbeVG/NYYWASVyY8SidnsWLtbkc6CTQ4qR2T/WZxD3R/k3iNK3P3LkD2LPnCk4/fQwVFbUcffS/GD/+IbZtK4u4Xr1JXL6TEceNaKVo2xe5uWPIz59GaemmGZ3ZXE4ngRYkMSNxUNmmsvH95vSjq98srRloyYlaIIZzQoCMZrBWaAFi3UasneUt/R00wDAMHnpoAevW/Y6BA7uwfPkWevW6jauueodwqeD5Y58HYNGSRQ0XVCY3ZfKYlt7fFjtHo5UfMJdLTe3Wac3ldBJoQRwpPpO4hX8P6dYYbDFgdcCGN+hvJIIHgFnRW7Iy6AGcC6rrvhWslG+2Y7CiD8w5bMUOw1x+4LWV8gNYOf4BfbgRxKHisRpLVH3//l1Yu/Z33Hff4djtBjfc8CG9etzCxmUbG5xDP/znB3Z9t4ucETkUTi/ct+TrkXDnBeAVr1/aLHEFYfkcMsccg94cQyz6kOdcZmYBQ4YcRXn51mEpKV1CO9p1cHQSaCHSuqdNr9he0WfkCSNJ75EevDjUZNuRKhYPTdNbfcY+2oTt9SQC88FzMtAFxA6G7Fs3EFcwoewVrOqDrQys2GGY9aEqiuBtRtMHEzy5eSjM34/5O4ukN5cf+KzR/i48ezw37L7C239OP1W+rZxHpzxqPD3/aWorahXg/ffpPo+0I54+wrfCzmx46Awvr8/1UpuIb4yABMcYTFPPUStzDgf0NEEfao7i/TqH5s27H8OwY7Ml/cdCHB0OPWK4BRARSc5K3llbXtvlsp2XkZSRFLAOCAyiiTaqNVgfbfCN2Zog2gjkQMVi1keyTgj88I0hwDzAAR57eL3ZviB4e+H0wUkh0uAks2WGVb1528HxWdFHSqbB36lVfeBvNNuK+nJrwHgTPN+ALTC6bcNHG/jHkf+gckcl9iQ7g48YrL55+hspmF6gTnrrNOHdGV6Wjzdw25XfGygcrXXOBa8fTh/8nUbSx3rONTqHXn/9d3z++T2Snt5zYWnppk7lNKqTQAvgyncdX7KxZOnUK6dyyA2HwL4T2IpPjVlvdeRlrHqrySiAOhRkHKgEi3qL5bYmgZgs7zOxWXpYrTyD9ZbOCTd47gBbFXi8QXqv18s7V77DxzfvG1x2yZZLPOn/utJGqdODx9IAgTZ3ztG076tJ1NZWcvPN2dhsCaU1NSUu1YkqRt0d1MyIiFG1t+qBhLQEpl87PfCxLehvNAI6q99PoEVmVW82rbOC9AC3xQSAv9xYPVma8qOLxb4hEFMs+xCLnUEsCSCgV1g8Jzy+BEBwAgDfjeNDbzqU8b8bD4Aj1UF6j3QbxZlYTADQOudcLHYPTfm+muwDlJCQwrRpf6SmpiTD6cw/p6nltEd0EmhmXAWuK2vLalMOvvFg7InapFXTOrhr3Xz18FcYDoPLdlwW73DaJVOmXEZSUiaVlTtvFZFO8+PVSaAZEZHE8m3lf0rtlsr4c8bHOxxNJ+L18173mcSdO56ElIR4h9MusdnsHHbYbdTVVSa6XAU3xDue1kIngWbEVahN4jStT1VxFV8/+rXPJO7/tEnc/jBq1IlkZPSirGzLxSKSEu94WgNdUzUTIpJRWlR6ela/LAYfMTje4Wg6ES+e+CLKo5j+l+naJG4/ERHmz/eZyzmd+Y/EO57WQCeBZsLZ2/m01+2VhUsWapM4Tauxd8Nevn/le5K7JDPlkinxDqdD0L//bLp1G0Zp6abfdAZzOZ0EmgGbw9a9dFPp4bnjc8mf0mFN4lrVKqGFaOmYWv0YPX+MzyRu7t1zGy7wtsXD3+bsJ8JiMpd7obnKbKvoJNAMpOb4TeKWhjWJU0F/oxGrlUSsMy3FPJPTd2Cr8wVk1V4h0C9h1e4h0ojgUHrY99hhNAIxB8ZqNLc+QCyzmsVib4EDVA5gN+k3L9/Mpk824cx3MvyY4fvEW3rAved4fVuw/Lx7U+xLWvScY9851FLnXKjXAPToMZr8/IMoLd10UEJCaoGF8totOgnsJ4kZiYPLNpeN6z+3fyiTOPPQePPfcBVFrHpvkA6sWRME68P9aOp/fF8AjwA7QNXF9nx+NJ+d4OWx6vd3+8GY7RKCy7Gij5bMzPYKVvUYIKcDs0ESfCt5Xjje10itN4mrToSX53t47GTYk234B8XGeg4FBmhF05tpkXPOoj4c+33OLVq0BICUlK5vxbjtdoVOAvtJwCRuwSMLmrPYcC2scCeu+XsM55ESq95cudkAdgAPgPEGSA3gafjD9wTrTa9DVUTmytCqnjD6wP6F0xth9KFag7HqA+sECOezY64Mzfpg+4tgfQPhWJDzgcrXvmf32t3kjMyh8KBCWD3EZw63aiS4HcGrhsO8zVAxBccRyt8ooI92DjXpnDOtG+qciFUf7ZxrcA5lZhZ4hgw5mpKSDf2Tk7PG0UHRSWA/SM9Nn1mxvaJw1EmjAiZxioY/rHCPapgrllj1AYJPZDOhKqJIRl2hKqKw+q9A7gLW4RuiqfbpY+keiFXf3OUF60NVhmYMQuvDHVNzMotFH9x12Og7TgWeOOMVG8CJTx+leOJ4eHmRojoZvLZYzrlI51C4cy5c/ObPzfvaLOcc4b+X5jznGi0PmMsZhv3lGLbTrtBJoImIiLhr3P+0Jdg47PbD6j8mtsooVn1L++QHrAAgSkyVwL/Athk8Yj22gNdMLPpQr8MRKNOqR5O5tRiLPpI5WShisVcIbCOs/pFHvmTLljJmzizk+kHdhJ8Lwe1oK+dcU85RS+ecSW92FLWij+WcMzegbCkpWYwffw6VlTtzMzJ6LbSwfrtDJ4EmktE74/jqPdVdDrjsAJIyklpz07F67LSovrrl42kN2mJMIfF6vVxyyVsYhvDUU0fEnOWbSJs655qg3y8OOeRv2O3J1NaWL5UO+Py3TgJNQESM6j3VDySkJXDQNQfFOxxNJ+Ivf3mf0tIafvWroXTv3mieCk0L4HAkc9BB1wTM5c6LdzzNjbaSbgIi8jZwcGbfTJWem97gAIohhvIqy08yNEWPF6+y2BgSQwwUyqo1bqz6bEOMtBj0hiGGilEP4LV4jERERJA2pEcEw6oefPscSu/1Kj7+uMgAOOCAPK/N5uvV2bQp3/B4YjiHxDCU8sakB+W1Wlf49dbPuVbRg9V99rX2RRrqFUVFnxrgrVPKm6yUiuXR4TaNTgJNQETuA86Odxwajab1UUp1qC4hnQQ0Go2mE6PvCWg0Gk0nRicBjUaj6cToJKDRaDSdGJ0ENBqNphOjk4BGo9F0YnQS0Gg0mk6MTgIajUbTiWlSEhCRZBF5X0Rs/vfTReSJ5g2t5RGR2SKyTkR+FJHfh9H8IiLfiMgKEVne3OVH0onIoyKyQ0RWmz5LEJEPRMQeSywajUYTipiTgL/iPwV4wTR0ehTwdTPG1eL49+NeYA4wBDhGRIaEkc9QSo1SSoX0FPcnwSVNKT+Kbgkw26xXStUC7wC/trCbGo1mPwlu9LY1QjXCY2ksWkoCIvIvEblNRN4DrgSOA8z+2iOBniLymYisF5Hp/vWOEpFPRWSliHwkIl39n+eKyPMi8rWIrBWRCRG2/amIFPhf94y1NR6BCcCPSqn1/or1WaA5rWKtlh9Wp5T6ANgTYp2X8H0HGo2mBQnT6I2kz2z5qBoxiqBGeCyNRatXAsOBcqXUDOBmoI9S6pegIMqUUhOBs4Dr/J+/p5SapJQaCfwX+JU/M/0HeEwpNRoYA3wXaqN+29bewAb/RyOAbyIFKiIf+rtugv8dEiTtCRSZ3m/yfxaMAt4SkS9F5IygbX0mIivwzby4wLStw2Io36rOzGpgfBSNRqNpAtEavVEasctF5GkRmRnJdjpcA7mJhGyEY7GxGPVSQUSSgCzgL/6PsoFi03I70AW4wf/RCr8G4CQR+TWQCHQH/gAsAr5TSr0KoJSqjLD5fsDPJrfAqElAKXVgtH0KhB5q9RCfTVFKbRGRbsB/RWStv4WOP+nhP+gnKaVOqi9c5GiL5VuNY99CpTwiUisi6UqpskhajUYTM8Px1VEzRCQBOC/Q6DU1Yq9SSr0qIik0nGBoAL6u3fOAe/3dNEuUUluCtvGeUuo5f5nXAr/C1y3cFEYBLyulJorILHyN8AOx2Fi0cnNxKPCZUsrtf18FmGdRGYKvO6PW/34MsFJETsDX1TFTKVUuIh8Aa4B5wKcWtgu+L8Nc6Y8DHoT6A5cFFCulrg0IRORDIJTR+qVKqbdN7zcBeab3vYDgL4rAl6eU2iEiL/r36QMLsVsqPwZdMIlAtQWdRqOxSLRGL1Easf4uo1eBV/2t+xuBjSJygFLqc5M0VAPZHMcY4GSgDvg38DkwBV+Py6cmXdhGuNXGopXuoOHAKtNO7gVs/oMFvkuRQhFJFJE04FrgDv96y/wJ4EjgAHwV+jZ8iSWwE4H7BO+ISHA3SBa+pIOIDAYOB77x6xz4vpxJ5hWUUgf6b+IG/3s7qOwvgP4iUujP9r/Bd7DrEZFUEUkPvAZm4cuuDVBK/c98FWC1/Bh15ri6ADuVUnWRdBqNJmaiNXpHEaURKyJOf9fxv/FdGZyKqQ4NaiCPxDdd95qgYk7Hd3/wbXz3JP6Hr/5bG6QL2Qg3LY/aWLRyJTAcXxYy8xYw1R/gSOApYBmQDFynlPpURMqBl0XkKOB1YL1SqkJ8T9E8LSJr8GW5a0TkVXxdP8E3Qd8EzheRf+KrfHcrpbaLyKPABUBXGraiLaOUcovIef5t2IBHlVJrAETkdeA0fF/+i/6uPTvwtFLqjUAZIvIZvoMczBVKqTejla+U2hIljmeA6UC2iGwCrlVK/R2Y4T+mGo2meWnU6BURm4gkKaWq8TViRwaWi0hXpdRO0/sngcnAv4ATlFI/hNlGqAZyPUop83wlkX7r9Y1wfA3ja4GL/LFYaiw2aT4BERkNXKyUOj7mlUOXNww4RSl1sUX9JUAGvsugdUqpu5sjjvaCiLwAXKmUWhfvWDSajoSI3Ap8rpT6h+mzvwPPKKXe9vd2PA30xd+IVUr926RdALxuupIItY1h+G40b8FXwZ+slBrQxHhvwdfSn8O+Rvgz/mVHAZOVUpdELKOpk8qIyCnA4x1pmrX2QKDLSCm1NN6xaDSdgeZu9LYWVhuLemYxjUajiUJ7a/TG0ljUSUCj0Wg6MdpATqPRaDoxOgloNBpNJ0YnAY1Go+nE6CSg0Wg0nRidBDQajaYTo5OARqPRdGJ0EtBoNJpOjE4CGo1G04nRSUCj0Wg6MToJaDQaTSdGJwGNRqPpxOgkoNFoNJ0YnQQ0Go2mE/P/my8QdCy0ClgAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "pa.ternary_plot_winners_at_equilibrium(\n", " simplex_to_profile, \n", " scale=SCALE,\n", " title='Winners in group equilibria',\n", " legend_title='Winners', \n", " meth='analyzed_strategies_group')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Winning Frequencies in Fictitious Play or Iterated Voting" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "By default, the function *ternary_plot_winning_frequencies* computes the winning frequencies in fictitious play, with an initialization in sincere strategy, and with all update ratios in $1 / \\log(t + 1)$:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "ExecuteTime": { "end_time": "2021-02-15T09:53:00.752570Z", "start_time": "2021-02-15T09:52:00.735451Z" } }, "outputs": [ { "data": { "text/plain": [ "(
, TernaryAxesSubplot: 132002943727)" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "pa.ternary_plot_winning_frequencies(simplex_to_profile, scale=SCALE, n_max_episodes=100)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can change this behavior with the optional parameters of the function:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "ExecuteTime": { "end_time": "2021-02-15T09:53:43.318811Z", "start_time": "2021-02-15T09:53:00.755563Z" }, "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "(
, TernaryAxesSubplot: -9223371904850416903)" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "pa.ternary_plot_winning_frequencies(\n", " simplex_to_profile, \n", " scale=SCALE, \n", " meth='iterated_voting',\n", " init='random_tau_undominated',\n", " samples_per_point=10, \n", " perception_update_ratio=1,\n", " ballot_update_ratio=1,\n", " winning_frequency_update_ratio=pa.one_over_t,\n", " n_max_episodes=100, \n", " title='Winning frequencies in iterated voting',\n", " legend_title='Winners'\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Convergence Rate in Fictitious Play or Iterated Voting" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The function *ternary_plot_convergence* computes the convergence frequency in fictitious play or iterated voting, which is defined as the proportion of initializations that lead to convergence within *n_max_episodes* iterations. Its syntax is similar to *ternary_plot_winning_frequencies*." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "ExecuteTime": { "end_time": "2021-02-15T10:02:40.436218Z", "start_time": "2021-02-15T09:53:43.322649Z" } }, "outputs": [ { "data": { "text/plain": [ "(
, TernaryAxesSubplot: 132005039936)" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "pa.ternary_plot_convergence(simplex_to_profile, scale=SCALE, n_max_episodes=100,\n", " init='random_tau', samples_per_point=10)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Customize the Plot" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Grid and lines:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "ExecuteTime": { "end_time": "2021-02-15T10:02:40.699518Z", "start_time": "2021-02-15T10:02:40.440209Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "figure, tax = pa.ternary_figure()\n", "tax.gridlines_simplex(multiple=0.1)\n", "tax.horizontal_line_simplex(0.1)\n", "tax.left_parallel_line_simplex(0.2)\n", "tax.right_parallel_line_simplex(0.3)\n", "tax.line_simplex((1, 0, 0), (0.2, 0.5, 0.3))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Titles and annotations:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "ExecuteTime": { "end_time": "2021-02-15T10:02:40.905132Z", "start_time": "2021-02-15T10:02:40.702733Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "figure, tax = pa.ternary_figure()\n", "tax.set_title_padded('The title of the figure')\n", "tax.right_corner_label('The right label')\n", "tax.top_corner_label('The top label')\n", "tax.left_corner_label('The left label')\n", "tax.annotate_simplex('An annotation', (0.33, 0.33, 0.33))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Advanced Intensity Heat Maps" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First, define a function that maps a point of the simplex to a number:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "ExecuteTime": { "end_time": "2021-02-15T10:02:40.916216Z", "start_time": "2021-02-15T10:02:40.909229Z" } }, "outputs": [], "source": [ "def f(right, top, left):\n", " return (right**2 + top) / (left + 1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Then use the method *heatmap_intensity*:" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "ExecuteTime": { "end_time": "2021-02-15T10:02:43.405714Z", "start_time": "2021-02-15T10:02:40.919206Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "figure, tax = pa.ternary_figure(scale=SCALE)\n", "tax.heatmap_intensity(f, \n", " left_label='left',\n", " right_label='right',\n", " top_label='top')\n", "tax.set_title_padded('An intensity heat map')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Advanced Candidate Heat Maps" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First, define a function that maps a point of the simplex to a list of size 3 (associated with candidates *a*, *b*, *c*):" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "ExecuteTime": { "end_time": "2021-02-15T10:02:43.418500Z", "start_time": "2021-02-15T10:02:43.410197Z" } }, "outputs": [], "source": [ "def g(right, top, left):\n", " a = top**.5\n", " b = left**2\n", " c = 1 - a - b\n", " return [a, b, c]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Then use the method *heatmap_candidates*:" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "ExecuteTime": { "end_time": "2021-02-15T10:02:45.463897Z", "start_time": "2021-02-15T10:02:43.423165Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "figure, tax = pa.ternary_figure(scale=SCALE)\n", "tax.heatmap_candidates(g, \n", " left_label='left',\n", " right_label='right',\n", " top_label='top',\n", " legend_title='Candidates',\n", " legend_style='palette')\n", "tax.set_title_padded('A candidate heat map')" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.3" }, "nbsphinx": { "execute": "never" }, "toc": { "base_numbering": 1, "nav_menu": {}, "number_sections": false, "sideBar": true, "skip_h1_title": true, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": false, "toc_position": {}, "toc_section_display": true, "toc_window_display": false } }, "nbformat": 4, "nbformat_minor": 2 }