{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# %load /Users/facai/Study/book_notes/preconfig.py\n", "%matplotlib inline\n", "\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "sns.set(color_codes=True)\n", "#sns.set(font='SimHei', font_scale=2.5)\n", "#plt.rcParams['axes.grid'] = False\n", "\n", "import numpy as np\n", "\n", "import pandas as pd\n", "#pd.options.display.max_rows = 20\n", "\n", "import logging\n", "logging.basicConfig()\n", "logger = logging.getLogger()\n", "\n", "from IPython.display import Image\n", "\n", "import enum" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Chapter 4 Dynamic Programming\n", "================\n", "\n", "limition:\n", "+ assumption: a perfect model\n", "+ great computational expense " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 4.1 Plicy Evaluation (Prediction)" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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xGLt2X6FHSjjOnw9FTEwEju47K8hLundXv/E4hzOLw7IuLBAbXNxLYMulDAfT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\nTF6UmLUbpSrXRdDEZXiU8jd+CZCjv189lGOL3TclXBHdXrVCZ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"text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Image('./res/iterative_policy_evaluation.png')" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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52BAsrreIPRgZLMaFtBLLj8mj4CJ++LoygpqIe0RWx6q+FZnqKfKFHdmr5C5d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\nAcmm5mkqeenrZz3ed/F9y3pwemYBinpXRvP2XfH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"text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Image('./res/ex4_1.png')" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "class Action(enum.Enum):\n", " EAST = enum.auto()\n", " WEST = enum.auto()\n", " SOUTH = enum.auto()\n", " NORTH = enum.auto()\n", " \n", " @staticmethod\n", " def move(x, y, action):\n", " if action == Action.EAST:\n", " return x, y - 1\n", " elif action == Action.WEST:\n", " return x, y + 1\n", " elif action == Action.SOUTH:\n", " return x + 1, y\n", " elif action == Action.NORTH:\n", " return x - 1, y\n", " \n", " \n", "class GridWorld(object):\n", " def move(self, s, action):\n", " if s == 0 or s == 15:\n", " return s, 0\n", " elif 0 < s < 15:\n", " x = s // 4\n", " y = s % 4\n", " x1, y1 = Action.move(x, y, action)\n", " if 0 <= x1 < 4 and 0 <= y1 < 4:\n", " s1 = x1 * 4 + y1\n", " return s1, -1\n", " else:\n", " return s, -1\n", " else:\n", " raise ValueError('s {} must be in [0, 15]'.format(s))\n", " \n", " \n", "class RandomPolicy(object):\n", " \n", " def __init__(self, grid_world):\n", " self._grid_world = grid_world\n", " \n", " self._v = np.zeros((4, 4))\n", " self._v_flatten = self._v.ravel()\n", " \n", " self._delta = 0\n", " \n", " def iterate(self):\n", " v = self._v.copy()\n", " \n", " for s in range(0, 16):\n", " self.update_value(s)\n", " \n", " self._delta = max(self._delta, np.sum(np.abs(v - self._v)))\n", " \n", " return self._v.copy()\n", " \n", " def get_pi(self, s):\n", " return [(0.25, (s, a)) for a in [Action.EAST,\n", " Action.WEST,\n", " Action.SOUTH,\n", " Action.NORTH]]\n", " \n", " def update_value(self, s):\n", " # V(s) = \\sum_a \\pi(a | s) \\sum 1 * (r + 1 * V(s1))\n", " vs = []\n", " for (prob, (s, a)) in self.get_pi(s):\n", " s1, r = self._grid_world.move(s, a)\n", " vs.append(prob * (r + self._v_flatten[s1]))\n", " logger.debug('vs: {}'.format(vs))\n", " self._v_flatten[s] = np.sum(vs)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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" ], "text/plain": [ " 0 1 2 3\n", "0 0.0 -14.0 -20.0 -22.0\n", "1 -14.0 -18.0 -20.0 -20.0\n", "2 -20.0 -20.0 -18.0 -14.0\n", "3 -22.0 -20.0 -14.0 0.0" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# logger.setLevel(logging.DEBUG)\n", "r = RandomPolicy(GridWorld())\n", "for _ in range(100):\n", " r.iterate()\n", "pd.DataFrame(np.round(r.iterate()))" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "### 4.2 Policy Improvement\n", "\n", "\\begin{align*}\n", " q_\\pi(s, a) = \\sum_{s', r} p(s', r \\mid s, a) \\left [ r + \\gamma v_\\pi(s') \\right ]\n", "\\end{align*}\n", "\n", "policy improvement theorem: For all $s \\in \\mathcal{S}$, $q_\\pi(s, \\pi'(s)) \\geq v_\\pi(s)$, then $v_{\\pi'}(s) \\geq v_\\pi(s)$.\n", "\n", "=> new greedy policy: $\\pi'(s) = \\operatorname{arg \\, max}_a q_\\pi(s, a)$, policy imporvement.\n", "\n", "If there are ties in policy improvement step, each maximizing action can be given a portion of the probability of being selected in the new greedy policy." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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D2BsWVXCAUkuIABHIMQEaecsxKhIkArklYIYStuEIqK+6rmni1nkwt7DGH7u2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liPlzAfD1/WjZmOQRtwXx8oQxKw3hDh64y42KmvFg7I+yLA5JtOsNxCzfOnih71AM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\nwWMKuV40FGxiEwI8ye+OYZ+szjA3pmcrykMRSiLHASv3tDpxyJTfDF9li12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"text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Image('./res/fig4_1.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 4.3 Policy Iteration\n", "\n", "policy iteration:\n", "\n", "\\begin{align*}\n", " \\pi_0 \\overset{E}{\\longrightarrow} v_{\\pi_0} \\overset{I}{\\longrightarrow} \\pi_1 \\overset{E}{\\longrightarrow} v_{\\pi_1} \\overset{I}{\\longrightarrow} \\pi_2 \\overset{E}{\\longrightarrow} \\cdots \\overset{I}{\\longrightarrow} \\pi_\\ast \\overset{E}{\\longrightarrow} v_{\\pi_\\ast} \n", "\\end{align*}" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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HNvUd/s9KzcVlAllDIGfFJuhUv1TWZMa5MAEmkKUEPn78mGJ+aXprMkUJqQRmr98Lnq3L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0PEZC\nZoTp52IqHS6Mv55eYM/8tShbpaxedCEzwjR1ImRGmH5+1s1GY/6GmdjH9ozUHCJYs7aga4Qxs5en\nLXCzM+cNN8Pq/syTZvIQMiNMo4tJUXVgafSZOwD6pVIH85ykx15A4TqVDcrJpomitKMdz33dRLIt\n68Lvj9cYt/OGVgA/Dy0B+SkfH30ZuiYCRIAIvG8C+t8D71ufzzJ/gWN7RI0dj+98j+PkpG+MfjmZ\nJZ9B11bxOP9ouFGZ/AB4b/94/Mi60HBrKh6ueq6XpGLmnPbNjd9Ull/GB23BqwlsEdtScRhdaSHi\n+nuqZ9Op5LlFRF+V+QJlmKFZ7uVtHPjKA4tZoEzHCJIg8sx1tF67Cq/iryJWUhUuWgO9VWnllptK\nXvUpeS7CqMVDjA44V8npfkqRnpKue8vIlUD6HA4/zUODXA76102mNH65PRdtK89AzeRZvF26nDx/\nW0jDpt794RK834A7F0dmYWxUIReauyOvxtvju0J086yWu8SNSFUZ4I9ePdpjudt+NuHDtAdNlQQ/\nHy7Uwsh8Y1VM+iQCRIAIvFsCZIi9W95Gc3Psugj7E5KMhnMBWWwpiZWPfOHAY5SYjJjHwNKNfBAe\nNYllqDVKWj8Nc3MUZuGZ5iVQQWlwZN8Lw7prVijl8Ajll0/kMQbYyvETW6K3G5tBN6khYs4chKfX\nXP2U2bUIX3ftD/4RXrriueGmG4Otw2ZXA7X0b+Z4bYVOE34wOS5PlYRMWA4NGqiu8v6ZbdMC++9W\nhymzj68tcEs1eCwIRCXl9kA6ObMnPdxnGbbYfAMrF094ueXFr6WTUp4unLuOYtMt3vawQu/th3BP\nx0toOk1DPsy4DwzAjRfJWHk6FQtNR6dQIkAEiMA7I0CG2DtDnXNGXFeNqaOQdTk4mBLIp7BiNuXf\n6MvziwHLsFecygwISzQx6ErklBOh04odmHaUrfPFjioDNmCp/Ozt/uXE7e1SV8UWslmsOusyqAIK\n5JOra1NzHvnaArfkRyUjKspE1eAbNBBpGVkwK5qXcWEFUrw3SLQYnEw/HjppGvIRopS9A8qm2eOP\nU21RN09j43SSpgsiQASIQL4SIEMsX3FSYoUsrU0aEHcinuJbz68I1DsmwBlpNRrordj6jnV4v9kJ\n4eDm/k5+yLzfclLuRIAIfGwEaLD+x1ZjH6C+D7U2485JvQrNvkNtvUHy2nEE0jS2sbX+uDRtifd7\nrtBPs+SEvjbGwrXL9Tr1vnKzbf3YdE0EiAARIAKfGwEyxN5BjUvCN6GFz395XAjzHSiWD1nc2Toe\nnf+9azC7k0s6xLcPZgQ/yFMuAnEk/LaF5ynOmwgLpCk4FRiI4JAQhAYfREDITXX9vEqKwIGgYIQG\nBeJEuPZaYClY3aEdjqQY3zaKW8n90qyO+D3ssY5a2uUyZ5t7T3IYhQj12ms6onRBBIgAESACnxEB\nMsQKvLLTsLXZRFxa3gv74l4VeG7vMgNZQgDqLKuIw2OaGGRrlnwCbeb+g8WTd2gtVmsgxnPDHDYW\nhXnu5/ctC9hbS7GmTTu0Xnkd9uVKqWeiWpS0Qkznrmj9XyKsSnOr+iuOmHXe2N1zPYaZWKAXbL34\n7qs34l6rUQjTMbQ05cq2aYg1wbXRZOQ+tfGnyoM+iQARIAJE4PMiQIZYAde3OGwXAsdNwijXIhjo\nfzhPX7wSsbiAtXub5CX4d+JI+CzvwzuT8MSynfjVdyrbrHomMzp0vUNvk2t+xeXWJqvs8S1aNykO\nF89WqOusWWFeIL6D0O5+eOA/CHWVMxC5tce8xxbC0u4uOaogY6uqTd/kiJYrzxuVFbn1xPJro7Ax\nJsOoDAUQASJABIjAp0+ADLECreM0bJhxAZOmj8UvPn2A9bn3inHb4Qz49n9536KILbSanJzEVuWX\nsf0MUxATE4dE5YaGr5LuIIaN53qus6I88Fr8EBFhYbiZoDX2iaUjkSj+FOJSxTUzDrlrM3E0Vh/s\njUE8G4EXSjqMOfe/hc+wUVjexJp5xTbjTU2xzOT7bNkC1ZgxKdKSkvAy3+pMBOemLojdE661mO4L\nbBy5Gv1+/0nHwHx07h8kzxzMs64X22w8LoaNa9Nix/Sza90DTWcEmvAGFkPHP8dh3b6r+VYaSogI\nEAEiQAQ+PgJkiBVgnYnZyueH2g8FN0fQrt3PGMK26R7oH5Arr1jcnv8hdZBnHhcdBV4lhWKqV21U\nsrfCt8P+QsT1YHR1ssX8FQswbtVxRB7+Aw420xCrNMay4naipH1/JLA17gMm1kFjtqgsF/T4wj50\nK1sOZcuWxV62ftOL4AXyc/fBq3CHdbll3ArFqa5uvPod99+CvpPbs1RE+GHuHLlXbPkbeMW4RTkn\nTV6IX6o6Yi3r1hVIouFYtSpWhJtaYStvFWpTgi0S8Uyzbc+TIH8c9PRBW71tnW4FnYFX8xp6iT/E\nmh4t4Bsaj8hlDVFiySV1uExUCd9Vv4zrqcbHk1lYOSBy/0UtI1AdnU6IABEgAkTgMyFAhliBVTTn\nDQvHZOVWMzK2GOvotf2ZV6wf9iaYHisWFzgXdUY4YNWA2nnWrrBjC6zc6CeP5/3HdHTt0B/rfb/G\nvIByWDJ9IH5gXqrBsqO4q9zw+n7oIaBmD7Rv0AwTVmzE1XlbESOVoaxHD/z39CJGozDOXghHVHQK\nvPdG4sr2cYpV7tlar66uFdTjqlSKyr1hKZ3YFkyKcV4itw5v7BU7sWgPOv8+Hi2YDmnpErb6fg38\nN/wbVVb58lm2DlvSISoIN5hxyXkhR08TYIEBd7aR+Ypolp/SelXmLAnfg3Hx3TGvlyca1vPU00fI\nRouF47TWpt56Aijs5IL2yISJZXP1o9A1ESACRIAIfGIEaB2xAqpQlTfsF61V8J06DcWQgesxaNFh\ndPb3MjBiOFXClvRBy2n/sLMamNUjBA/SjXtUUk+nYGDoEQxwLaFTipdZzNCr6Qd39aKVLLy9qzw/\nGcrgyxoJcgPBk+3t+EWvpThpuQuzfHzw8uU9tg/OM8h7Mtl2jZzxOOvmblhVbY71U44gvZVm8+57\nF08gCg118uUuFN6wtVpls5J7xYY3/QXLg3tjRrOyBnGM3XAdPxsWj/aivdlQRCu7QEtUqIdaFTUD\n6Lm43P6Kczr0xb+whg1PYsY4caIWVoyNLB3m7EkImToNjTZsQ3meNCxqCPEgTdcQK1a6MvP2dYVt\niV/hOXwZrs6ppxMzEzLYWhl/xLiV8Lktd+ggAkSACBCBz5eA8W+Jz5dJPpQ8DdsXx2DO5uE6aXGG\njfeO4Vj1Yy/sHZ+Mbo6GswMbjNmEa8yIqvlDGn7dPku5mbZOMjleCLKY8Rat8bRkMYOAOV50DpG5\n4jJsSW+0nF4Jh2/Mg0eZW4ja4A3p81RIRCUh4lqH9BXbDkiASOYpixjxNeoojTsn9xZwPanry+G8\nYX+97Ia/ld4wVYYity5Y0246BrGxYsNDvHO9aTS3eXfM7n+BsaOVxtFDBF0uhb7DdFeG57hOOXAW\nU1QZ5uGzmG1NNMd4bPP7FQ9LemNTlaK8sTOjpXDQMqoEkhTEZtXAzahwxEeewrwfR2J7l3aYrLVx\nuQXjFq9nvGknzi11YVAx2gJ0TgSIABEgAp88AeqaLIAqloRvgXc6m113MwJhbBC86u9CeBSeFFPs\nQTNomfEZlE6tvBG1+im6rXizgdwi5RY2RZRlM2cGAdj4NMXBNq+OZqaZuYhdpiFs+ll03jMe7my/\nyKybZ3ESdsi6sgtLzj6GWeolDO12DOvT03Ds12g06b5GZ9B9VFSiTmfd6VUrUbJxSUSHh6vLzJX9\nStRdWLs5y8eKrQtRDNtPCl6KrqM3mxjMrtQ2Mw0ujgo/V8LupXjxU9dcG3LKApv+EBVlXYgCrJz3\nGD7ejY3IFkP1ce4QaNmdLyNXwc1tCDIdndGwbT/0bmKFElYcU82RCTc0cTG+UVF2YjwCmEdMVTOa\nmHRGBIgAESACnwsB8ojle01LcGjZYuD0EzR1N5H48rkIGNEaHXm8YlwsJ68hqPzNATwdVpt3QLyx\nlLPiDmNk33VAdjbGrnDFGJdYDJx0lA3oysC8Mv1Q/MIWTJGxeYcTJ6HJmsVounwwfLqMQp359XAn\nPhsj295Epx5sKNvqVFg6zQWaTMdsllkR55ZprkcAAEAASURBVC+Bud6o7H4O+3YthWdldzTbxdYI\nW91Z7rXjxldt9gvGThxjf8aPeX8dwgiPPpDcv4vD66Nwb+5PKK/uQjWMZ/9VN8R+twhL0ksgOK0l\ndnfNfdemYWqGd7ItHVCddaR+EbQQNYS6njZtaZdGtdDheBTzeCnWTLMoX5f1iYbjzP7d+DtgE2K7\n7MIyLW+amfga9l2vi5UmdhFIS7gO126tdWZnaudJ50SACBABIvDpExDI2GGsmIsWLcKBAwcwffp0\n1KunO/7FWBy6n38EJGIJRJa6Xpb8S12TkkAqxhM2MMzaxoaZJGyZCqlQ0S2pEeE5k2B/j+q4NO4S\nZml1x/EIGr11bd1CJHUeD08tY8Us9TymbgBmjflaHU+hnxQ2Ntbqe/l3IkVKwhNYsQ3XTf0q4dYR\na+ewDL4pa7QMNglSk8VsEgHbX1Nvk/OErf3RJf0XXBimeG4My5WG5VZVUOLKHfzkzN8dmn9lpJSI\nABEgAkTgXRO4dOkSZs6cibZt22LChAlGs6euSaNo3n/AuzDCuFJyi5vayI0w7io3RhgnJ8L3C/7C\nktHb3mj5Bc6w8T9aFPW0jDAuVb5DoV9BGGFcbkKUzsEI46SyLevC74/XGLfzBnepPERy41XfCOMm\nD8wbbobVyhmzKmntTwlb2sSn3xo2u5SMMG0udE4EiAAR+NwIkCH2udV4PpZX4NgeUWPv4jvl2mN5\nSVryXIRRi4fwdLtmITnT9PIeecknP2WrDPBHr4AhWB711ESyadjUuz9cgheijtaMWbBFKlTl4tZH\n69oqHud925v0wpnIhIKIABEgAkTgEyFgqjfmEykiFaMgCTh2XYT9CUl5zqKwXQ02G9PwkFnWgk+f\nD/X3gRV6bz/EVvrPNlRceYdbksJjQSAqKbdGUglqlyuLzfJc+cgXDjqGmkqSPokAESACROBzIkCG\n2OdU2wVUVq5rL78OmdAKTvmXXH6ppZVOMZP6cfpXUkyM1YrDdf9qylXIuhwcdELpgggQASJABD5X\nAh+q6+FzrY+3Kje3L+Mz3TVH3yo9ikwEiAARIALvj0D+7q37/spBOZsm8FkaYikJCXKDRSB9iOO7\nt2Ht1gN4kEsDRhK+CS18/tNZP8s04jcPFUjuYofvZAwcvQzX2RY8pg4ZW0y1s9dmpH1APs5n4cew\nbt06HI56wla/zztrU+XNTdjr1IfqDc+NyavagrHwD/H+9aB/sXXdLlxK1lrYrEAUleJG0N/Ytm4r\nTiXk31brb6uqQJqGhITkXD+D76qOs5Ov4m/W3ncG3cy1bm/L4lOLLxDfkb/zJs38A6eS8r/N5ead\nkF9M86PdvYpaj5o+xteczC9dKZ33S+CTN8QE4vuITHiupiyQXMYXrq7ovi+WdRcVh31JMcYOm434\nHAwdRQJp2NpsIi4t74V9bBPqgj0eYGrZ+rjzzVj4dX6Epv5nTGSXgj+qzcSI/3zka3qZEHynQcXK\nl0Hq6inoevT2G7B+W1Ul2PtdfVSruEw9q9NUW3jb3N5l/ApVy+LMmKHYf0fTrgsq/5J2pXB6zEic\nfZjTl6IEEcFhatYFpQ+X7str69g+p844o9wv1VRe2s+7Kbk3CdNvT4VEZWGTGYzBPwQg/U0S/Ozj\nSPHP4G9wtFZ7VDm0CO0Pxr4lEf02afhOeMsM1NEfhJ1CrNZ3SH61uzKtfsUW+OLXYMVC2OoM6eST\nIvDJG2Ivrx/EgTjNl4hMVBVnduzA7y3Ks4pkK6Y3b4LmglK5qlRx2C4EjpuEUa5FMND/7X6lcL/8\nDu4ONOqJC/PtA//hW9kComVhaeOEzN8jYGyuXlqQP2YMm4O2NsYXJM1VAfNZqLBNbXQa3Iilyq0d\nnzfWb6+KCC3XbMPWo13VC6aabgtvn+O7SqGooxsauRaFapuqgstXCFvXb/DLLC9oniD+3AR4iJ0L\nTr+TDcyLVO6IHZsPoraJhYBVWuo+76q7+fNp0J4sy6FxU27BX9ot4U0IC6R3cSiwOgY29cCgEzfx\nuE/tN0lGHcewTRq+E9TCb3mSePwQ7ko0ieRnu2vkMwsrOyzNcRcSTe509rER+PANMSm3aGYykpJS\n5Wxfi1ORkpSEZ8pG/1qSiuSkZPkXxaukO7gZl6T+0hBI7mPL4jmQsDsSiZgtVMq2TmS/Wpw8PFDV\nUrmxjDS33Ttp2DDjAiZNH4tffPqwpeffzCv2OjUW+2b2RnH7OjiDEijB05XILf45Zu5FrBnRQl5m\ncRr7fV3D2MtdgpNrw5lsY52291r8EBFse6GbCc907vNdvEiKRVgIJ5uA20xen2lMnKIrl9HDw7gY\n3E4yTDMtIZptaxSOB3peioxMrS5Vk6ylynpmXU6szu/HxOAeWyxV/3idel9erki9cumXgVsE1syh\nNppUV6zEn3NbkELMFtCVSLg/RT81pwd3LVZec+2L27LpVrIxs4SVIZVrq1y3GWPFyqBhpSpfqqLb\nSt6uk+QL6crLyK6Tk9k14yeQpiAmJk7drcrly9XBc4VaTPw12zpUJjfE9Nu8iheXRjS3vVSMahsq\nRf6JTHeuay9OJz1VLM0nx4+rg0TGxNyimCaAnfGlfYNtP7X0mQzPmbyKFxeJT5Z7nnX14OGm7Hrk\ndOVYPBGrCi9lwwpKwqNZHfb0sIOHm0ZW/3nnycegLXML/MbK603K8o4ICcGtVMN3BF97kqvD7fPK\nnlUwfnE6enOhfDwU9w3/S3AnPAwXom6r32camRfysCtR93TCVM+G+pmXtzFj705T7SEPebM8FM8M\n+5RXEVsQWv4MaVklGsXVZylxivdFvFjDNvtJArbKniLjuZiVS2RkUWnuuYoAt12c9nhY/eefe1fp\nt0n9d0Le33P8XF6y3UzGzA2H4CX7jhGL5c+3wfeMvOQvEKusU7UvO4f2y0XLtm6IPX0jcDgmQ82P\nTj4tAh+8IfYqKRSTnaugavUt8m6Pp5d24YuqVdF6/SV5TTw+sxbOVZ3RYfQkTN10HNcOz4Kt9TTc\nZQ38zPoVGHfgGUK3LMeCGX44fO85npxZDycnJ9ivjMhTTYrZApyH2g/FVyyWXbufMYR5eQb6Byi+\nVHORUkZSBFaP/h4lnUbhfoNxeJCejrldG6u9NdpJPAgJQKSgDdv1MQ3J7Is94vQBtkVRcd41pwTS\n++xXpBTlS2p2LMyK24mS9v2RgAwETKyDxibW+UoKnIuv5gdDaFMUEYta4Mtt7JeoHtPIw/NQoclE\n/DlzPNaGRuPguDrwWHJarXKEby04Dj0LQUY4utlbY2XYm7jRk3F49kBUZXVZqnRfHLoegVVeleDi\ns1fd3ZUU5IeSFXxZudie5ss6qcP4yiBIvYlF31WFU/k1zJOYc1sQSJOxY3BVlC1bFoPWn5OX7YJf\nO/n14uN3cXP3VNh03oDUrGT4OTvAN/iBuvyakzQcnq8oQ7vB47A1QsHKfQmXXhpOLPqBla8NzrMf\nA4Xk7doVldqukZePa+dTvWqjkr0Vvh32FyKuB6Orky3mr1iAcauOI/LwH3CwmYZYpT1SvGJhzHBv\ni9kHIxBzciFsrUYiJFVh9L5KOAGvUu0QlPYKd9f1RKnRHMNkHJndBdWcbVG8w3dsn0xXOKxWPEMa\n/RVnz6P2wqNUK+y4HotTy8ag/qQtsDZX/GLgSzs2eAtW7mVlvBaEFXNmYB3jxR18svx6nDLkNrEu\nPNk4oVnev8tZDLS3wboorsPvBc7692PPcCtcYEYrH7eO9qWxNYaThd7zbqp+OOkUbO5RGZ22ncOZ\nVf1RqpQj/jm9Eb03XOUCtQ7+9sQJyMyZEXbNGz8MW4RLrA61deHnoZWs+vQBxpdwwJL4V8g4tYjV\n7QT1GFGz1KsszAnTQh8h9fxv8nq/y+I9CVnK3i2DEZGRgaBurijBnk/T705j7SFveV+9sg8ty9rK\nn5O/771iu7bex9yy5VG23Dx1W1UXS36ShkCfFvBYxbW9JMy3t8XMoHhmsD/E7vkz2L1o7Jg/B6uU\nbUgeRf1PUT9D98UhO/4gKpQeKG/zfM9/YvBWgzap+05AHt9z/FzkevuPQCT7Wb3d3w/T57Dtztjz\nrf89Y5Z8CcNKOGIHq9PsW/vgYKXQPaf2qyi6EBWqmWN3WLyaBJ18YgS4LY6MHQsXLpQ1b95cduLE\nCVl6evr7+7u4WAazebK7Sh2u+n4rwyyNTld9G8rQdJVcv+dPz8uao4bsUGIau34qW+5aQjY99KGO\n7trxnz8+I2suaKyUN1bGBNm8Jt1lBx9zaSpkotYO4b71ZGuiktX3VGHan/fDj8vm9v+SuTm+k/11\nKEz2NEeOj2WbupeRwbWvbKavr2zBrBHyfNquOM+bjzjxpKyZYKjsqla6ESu6yFBzqVxefG8/y7ur\n7NxTje7a+p2eUkFWZYmCJcfOx/eoPJ4u08uyDigk67z3ukIHeX1MV9ZHkuwPQVHZFysuycOil7SW\nYcoRhRzTKdTXU11XObFW1J2ZbOPNVHn85+lXZaNRWNZm82WZOC5QzuG/e6pyJMjmC4rIw4yVIf3i\nUnm7YUYvSy8XbYHl1wtC2fzQ+/L87/03XebNypx2c7c873/lbYqlFcq1x+kyRbq6beb5UwWrPntj\nFQy0WMnLp93WdPRj6XDXrE39rcznIteumyyVtxmOxWCBq2yPvPxJsuVNrGUeWm3i4hL2TDDZx+l3\n5PXRenO0In92zTHceDNF9jz9Mns2zGQdDt2VpVw8INsdGq+U0ZSBqyOurlUM0pXxfU7dZbLG05br\nXshP9kjdDo3L8ulhyE3BQsX8IvfMK9sVL0ctbudmfc3anKYN6jzvJurnaSjLU/CzLJqV4fnTs/L3\nyA7GTft50Zzzt6dHXBpMF5XeGl2M89CkqagH7pmuBYFsjfw5eCyvzzHHOP5PZXv7l2McDsh1Sgtf\nzfKqITsSe1xer/OV77kIri3U9FO0T3n743938tVDXvPm3rMKbqp3zGPZxv7esmNa70rt8sXt+Jnp\nNk/97IgTj8rLwD3Xz9PZu5s9H8eMvKtiNvdhv2D81O/Qc+zdBd8TMpPPv06bVD5j7LtE9ezm9j1n\nnAtrK0b01rQ79ryy76He/91St6WYzYwDe17lz4vec69pM5rnMmJtb1lhrfeqNlM613D60FhwthNn\nQy1YsMCYmSW/z9Mx9uFZmpIM7t2mGGnEfeoPk3/B+ZXauXBBzCPNXN3qMV+Z8i6czCzOTa7ZSuYF\n69bJy6Hyhv2itQCnU6ehGDJwPQYtYrMV/b14vVVZMTtRvv5ggI31epTmhSK5yvQ1Uq5JMNZvJsZ6\nlIKZ+Dw2T1uOH5tWMhrbsnEFlNYK/aLXUpy03IVZPj54+fIe+1p4BraVJGCpJaQ8dfpmPGJatkCJ\nMexGk6HY99dv8hBdphnMnyNDf1dFN5+iPlRdpcUwOP40rPYGYvLoJEgeh6BaUx/DjHJzR153HnAs\nrhjrJkN5eA63gf+dNGRUuM7qtS/s1eOCrNB8Zm343EnG/4yUQZKRqZVrzm1Bhor4xbcF3OcEYfj2\ntvh3ixg9VjtAEnVMns7sOb6IKClApoQtYFvdCg+Zd6q4/hMk5VhVRR83HlZ6XbO6+rFB6FmsZdf0\ng7u6jKzzrb2rvG3JUAZf1kjA6dhn8Gxggcynr9HU1UFdvi8afw+MPYDoR3VwUpbJPEy+WHKnPASZ\nmYhgflu7p6w7tWQGZILWGFW3JMxFTdBaHVtz8vLGeewXfItRldgzJT9EqOoqAmtFrC0+MJq2JIux\nZvlynbZcOzcly6uHJEGPG0vPbB7qKVlkcc+shdLrq8dRn5vQwgrIVMoyXXSedxP1U6hEKSZ9D8lS\nGRxZHieZd2ZkEf0KZiLyg789CTgOrA5Veqt0McnDTqMrlzS3ndbeU3vxz6YpGPUsA5dkL9GFeSS5\nWdR71idjxqk6cg0Ezt3x+HEX4MZ6pms1+FRQvGG+GLCDja9iW5UxKZPvTolhe8hGyTzlLeLeia7t\nMFM2HstPPsYKtwgc+aI1Vmi9K+XKyv9JELZvH6r13qvuCZAJi6ADbiKEtevmtRTdlPLXtcG7SoJz\nAQcZnCdYtOSpvGyX5t5H4yXmMPYOkz9fWm2SU0H/mcvte85YnSiKxa+3qt2ZiW9jV5QYza24GlEc\nNpVrAWeCESPpjSp6z72qzahkuU/HGl+iapz2HTr/lAgYe8t8UGWUmSu+mFVKyV/KqgvVp/Z3ruqe\n+lPEXmLXsfo/KQZ1ZQ9Ano40bF8cgzmbh+vEkgkrw3vHcKz6sRf2jk9GN8fCOuHchXmV7ngYVQ1b\nF3FdCFuwaM9v6N2qZq4MMgul3Xh71wpENvkLrXnSV2UoPhPPOlWYUaC8EbakN1pOr4TDN+bBo8wt\nRG3whvR5KiSikgbjLjLM6+DGvTikxkbj7Jbf0OmnHXgQwoxH7tBmKvBg3Z98zeUB5jh54OCU9djv\nPxpFw8qixdksZLIu1QxLG0U6efwv08rmRQqzdsopXnSsMwEZ7EsSQkV7yEhLBNh3rrEy6H69qZQw\n3RZqd/wFmLQAB4IlCHf3AhsNCLmRgUbwnToJ9ZWGwcQpbBSYlp6q1OWf7IdAMc07Vx0kkLLxR1q/\nAQoVZd1YDLKqdIIsFhituZa3c+06YNLGBugLlInIuCTZMWPNXIxxlY+iwuhJ09i4O3aT/QlYJ2UW\nd27kkHetGQtTlpcv7aybijrhmN8KDoHN14pvUj5Zo3oY4WZEHfVtXm7qUJ4TI/mY2VVAc9lhzPP2\ngfXjKEzYfBYtctwLlac96dchU0HVpnl56KmYFbMXLk37YeF/kfizmS12B+9BLOtel0gFsIEZMrUq\nUCQS4rmZstLV6XBGGDdKUci6Sk2/O/XbQ17z5tqVUFgaPTb3RZU/tuAbzxR8232mWhPdEyGKlRbi\nRqaqxXOh/E+pbjzuSoiy5Vk5x/0MnzHfKILHTGLtWopH17J532FCZdlVbbJUMw+tn+NaOWg/Y0be\nc0a5iAtDZatzdZwVcw7Xy36N2lrtRlX32kWVyYutGAObm/abFB3OzNWaWkrT6adE4IMfI8bBlv/K\nZJ+K74E07J90CiiheYDNuVE2ql/LQnafDfhUeM0Kwb5mEcQmsnDhS9x48EJed+bs60hHnt1VDoGR\nh2v/k4RvgXe6C3AzQj5Qmxuszf1xg0WfFHOUiw5aZnwGZVHHOhjs/y+e3J4Oi6D5sC3REAv3X9AZ\naKqdn/w8+jUsiloy4/EyfhqzDxvX9DBqvMlEJZjf6BobVK36hk9D2PSz6LxnPNzZL+2sm2fZr2U7\nZF3ZhSVnDcduPTn8P+x7XAI1GjTFEP+laBr9RG4Y8DHNUI6/LVSUe7kr3l5ZcRcwH5Ww2LudfN/I\nK1v+hyiWQsTeFQhlY5bywlpedlkI7jxRvKjNxNHYtjMFY79yRtGKtVFLdggxiZzPhbUJtrH2Wr8k\nDP3SEcbKIJLrqWo3uWgLLN3Xdu7Y1D0GPbyG4rvOX8rzKlq5HpojFFfjWTuSH8z47DAFd/gMGmX7\nUwpCpQN3nW1pi28Ez/BCGS820E8+sFvlKVXJqq7l7NRvbynSo5lpZq6w8CxKFcL8k9GqbHDh7/lA\nvwGoY+2Kvv3LYMbfF9Vh4Uv64s9rbMwUpxs7jLV1LqxoVQ/0kh3F6RuqCRmpuBnFjABWJTJRDaNp\nq57RIsxgOLs3HK9MyPLqYYSbytZVsOA0ZIdeOfi5KUS5/wZtkL0fVIcqLnctYIW0bTcXs31+gc/c\nFRjZ0kX5zlFJa3/ytydVerp1aJqddqrcecyxFcwb6IM+zSqwqxScj3rJnv/HOH7wsdxD/PviI+pB\n+lFLhmFt1pdszGostp27p0zqobp9quqF992px/FN8pa3KxbRrnVvdDg9B/3O14aXnodPqRT7EKJ6\nq27A9B24q7z56t5V7EdDNKteUl2vasNFE1Ee16XRT8DifZqxZ6zHoYvfRaPPv6rsqjbJPXaq+tG0\nK8PvDr73nLE6OXHwKnsXcT+wWJtiib64d0f9ble1O5moCoZ1t8G287HqEoXv28ie15/gyjyHKp30\n24xamJ28TH6Ius7W2rfo/BMiUGgGO4yVJ4TNGIqNjQXr44S9vb0xsQK/b25dFoVDZ2HnExlu/7MT\np8Iu4+6htUiv0QlVbv4PbsN3snGfMci2skbc1uVYEcYGTh5KRaN2rVC/ojmGdFyIR3dj4D6oH4qH\n/gm3oesAtuhilfY12XIUv2JjzGmERAvQtH1jlFF6WxSFkiDgt97YF/gf1q9dj02bNmn+1q/Fuu1H\nFGJhN+D6Ux9UsypklIWwaBm4teqMicNaIvXkUjRp0xNPbBvC48sv2GR37aMwnJtZYaHvFpz2X4PW\nO0LQu6rCs6EtpT43K4rXV9fiUcMfUVs+YF+EIk5pGN93K0TWd7Dz1As0KRuKcfMzMXZ6VzgX19Ux\nJXI3enTfDQunVzj2lz/sp45GjWgjTC+moo5tGlbNWIHL8bsQblYPXbzqo1ycP347kArB9cMINa8G\ny3neCHTuh17CQ/iKY510Hq+tHRE2d64J1pxx9QiBCzdgYXAcrMwS4e/ZG6XXHoNvm8rMCCiPbt9X\nxfQGQ3DdOgsBY3pDMusAFntVxzOeMnwjisTwkYtxLX47Eq2boH0DZ5SxMTPaFip3+R6upbmaEKK8\nzWv4ZfXDym41mP+BfYkWtkPHLjUx5+smuGRdBhdW/Q823rOYl1J/NuF9rBo2FquiwrDlhgitKqfC\nb+KfjNV2xqoWOjSujzK2l/HdnDCUSz+NpVPYlPfHh3EirRq+d76Hsb2XIPJxBNO3EiqnHcWAwStZ\n11MMZEXMEb52Jn69cgtnY56g0TffwOLhXcb1Es5cfYIbATMx61E/nPqzG0qZmaFSCy+UWdsRfU7L\nUPTqLmx/3RmzOpbAek63a8m4cO4qHN1boLLWBA9NeyqFll3qYJH7YFy3NWNr5k3FgqhEnNt0BE5d\nfkSnH34wSHvmDzWYB7AQ4hcPwL9Mr9Q67dH5S6dc6+FS/JFRbreK1EIl8WEMHrwGj09cwOvqFRE2\ne468HZ2NFqFZnTT81peHG5PNqtMcX8SuVz/vLh3r4yzzahqrn45fWWL90L6YsnQZVq5cjj/8FuL3\nfyX4oV8LlOYags4hNGhPVZ4dxwi+OpTr8g0GDOnLy07zk1KRQcnStrixYhUuFnmFc/8chVVTZ8wa\nMha2Xcdh0NAhKH90Ilr89xB2cQexNfM7zOjqgW+6u+HvFq1wrEgZRG//H4oMm4p2FUrA2LtTXNUd\nt5fMNmgPec2bq3u5/kJblHt1Ho59xqGZg8qk0AEmvyjm3ARtbI/i66kBsE6/iHHdDmD+xW1oU/IB\nFvUdL6/XK4G3UeYbT1TTa5/FnN1Z3BNw/2YXbJ3uwnfVPUyb/RPMbxq+w9q42KCwXptsbxOr806o\nnbiZ/7uD5z3X73sP3OKtkzFoWZs9r692od3qy7h55TU69GyCF4f81O2ucpfO6NijK14tboMF7PfR\nI/aDvO/N9ohc2gvF7x0x0Waao5kL110uZe+c7ajQeSDqltZvLYaM6c6HQyCJrfAQHBwMFxcXNGrU\nyKhiAm6kmLHQRYsW4cCBA5g+fTrq1atnTOwd3eemWz9hX8jlUNLytXyKvEgkMvGLVaMWN005XWrJ\n4ql+B2nC3teZQPIQQYevoRozFh141MpMTcUrS2vDMUg8CqcGT4PT3kZI92+tDuWmaj9hA8OsbWwY\nIzalnPWjsV4Mg0PK5pwLmZMlNTkVMtaVWFLhcDGQy+mGhC0rImZ52FizLik2Y1XKEuXJzmQyAslV\ntLedizmPdqCaOIWV3wbFDfTh2kEqCmmF5aUMuWsLxngZ5m2yQEYCuW7b51IRbGws2XR35mZkFSMS\n5pWWInEurXQ2+K+MtQEoefewsTAjqmndVpbVmtWBkC3twdqJ9vPGny9baiZVCmuuDWgd/LJaAh/I\n6cEeztg58DQ2tHJQavQCBwfXQeiQC5jVgPtCNDxy15504+WOhxQvWDvnngHumeSWVOG6IVUH97xx\nbUi33hV1Zvgcc/fz8u7Mfd7cMjl3nxdDJbtsbBy9As38c7eotIAtJ8QtM2JtY/0G7wnduKaff/42\nqeKYt0/TXMTsnS3L4Z2du7rX1cos+QQsK59AdOos1vtBx8dE4NKlS5g5cybatm2LCRMmGFVd82Qb\nFflQAoTsobVTKiOEpdZLKScNC4ms2RDUD+vgDMqWHcoZVcrC2lrPU2ZUFNbNRmP+917Y5+OJTnaK\nn+4yoaX8i14Ri98I48KESo6cwfY2h4i9gNSmwBsYYdyvvoe34xEsO4jLNxLg6uakHvOmqxfXDnR1\nzUsZctcWjPEyzFtXt9xdWTDjRuUFFVmqqeUusp4Ul1YZvXuqS1NhKhnjn9plNXze+NMWMSPMMEV+\nWUO5933H7usvsTfoPOY19JJPCklPiMS/O5+ixTRdw1Jbz9y1J+0YbFSEiTrTSLLxVKydq3yu2kYY\nJ6PzvKkjadeZ+iY74e7n5d2Z+7xvb+6D+pNb48zfwOXGP6CvdrYmzmUi9n56w6avH9f088/fJk2o\nZiLINBdLvsavl1ru6l430snZszA2kE380r1NV58QgY/IEPuEqOd7UUrjl9tz0bbyDNRMngWXj7JW\n03Dl/BOsXbsWzy9H4lFNJ15PYb6jowSJgJKA25ituBJ8AFv8puHpS7ZgbkkX9Ay/jSYmJsp87vCq\n9ViEuTeWYmPsD5g/rPLnjiPfy/8kaB56l/JBvIdiFna+Z0AJfhAEPsqv7A+C3AemRLZNC+y/W/0j\n3uOuNNoMGPCBUSV1Pi8CIlRq1gUT2R8duSOQbV0bI/1X5U6YpPJMoLBrf9xopfJm5jk6RfhICJAh\n9pFUVG7ULGTNxs/lRpBkiAARIAJE4IMnYGVHRtgHX0n5oKDBXKB8SJOSIAJEgAgQASJABIgAEcgF\nATLEcgGJRIgAESACRIAIEAEiUBAEyBArCKqUJhEgAkSACBABIkAEckGADLFcQCIRIkAEiAARIAJE\ngAgUBAEyxAqCKqVJBIgAESACRIAIEIFcECBDLBeQSIQIEAEiQASIABEgAgVBgAyxgqBKaRIBIkAE\niAARIAJEIBcEyBDLBSQSIQJEgAgQASJABIhAQRAgQ6wgqFKaRIAIEAEiQASIABHIBQEyxHIBiUSI\nABEgAkSACBABIlAQBMgQKwiqlCYRIAJEgAgQASJABHJBgAyxXEAiESJABIgAESACRIAIFAQBMsQK\ngiqlSQSIABEgAkSACBCBXBAgQywXkEiECBABIkAEiAARIAIFQYAMsYKgSmkSASJABIgAESACRCAX\nBMgQywUkEiECRIAIEAEiQASIQEEQIEOsIKhSmkSACBABIkAEiAARyAUBYS5k8kVEIEnB7cQMFC9V\nBmWsRblOMzs5GofO3kUx62IQZL2A+JUiahH7SqjvVhXFTaQkkD7EsX3HceeVFdp0bwcHVtrXqQ/x\nCNawz4MOJrKAQJqC4CPnIbO2RjEmmPYkFdZftUA9uyKmolEYESACRIAIEAEiQATwTjxiSUF+KN7l\nT1yKDMI0J3t8v+QIXuYSfiFrBzgXewwvLy/8n73zgGvq+uL4LwiCigxFUHAVtzhwi3tWC1r/VXFb\nW61t0VoHVXBURHHghFqxxb3qoG7BPXCAFVEUQUVEASUoYRogSCT/814SSCBhWLWOez+fkPfuPPf7\nLrzDHeesupMHyzqWsLQ0xA3PvrAynoCLwlytNcl0K8PSVIzpTosQK5FRPgkOfNEWjeuuwwutpcqW\nINOthHp1TBG+dgR6fbEJ2dVqwKzCO9Nvyybsf5T7achFPOD5/0cCsGYZAUaAEWAEGIH3lMA7UMQy\nETBkBVC/ExwHfYu1wctxYf583BRzilHJQaZrjMZ9RsDHxgjt+3aDrY0tbG27wXl3MFxlRzBgb2gx\nlVRCkx5d0UNQRZHHAL03/oVdpx2LnUkrpkINSQawsrGDQ99egE1H9O7UCnVM9DTk+3SjEs6dwGPJ\np9t/1nNGgBFgBBgBRkAbgXegiOmj/XZ3rBjcmJdBkk5vZEEd6JVp0ugVciCjpUmpSj9MULsrLf9F\nPM6fXUuOiURISBhixSqzZNKCa4FUDB2rFujaxFylHm658gluhYTgfnwqHy+VSCDhPmIx5C1K+Xux\nWLs2kQuxvCz3UyqBSCREEimb3NJlVFQMEtLkZV8KHyEqJh4vFF3hZEoWCpHKYRHL8yblzx5JkSYS\nIUGUTfWkI0alHNdMkf5Su7zcnOx8/XK5uTh5kCIx6hauhUUgVZGeliaCUCiifnJpUXgYz12TLNQe\nJ3eSWCGoogbqXMl1COUcuSLZMScxbXEYBNliFZ75lbELRoARYAQYAUbgkybwDhQxXTQf9AN+7GCC\nJ1EXMbP/fAzbOA/tDASvAb5AexMGbsGkS2lw/74XKiAdAa490cmXmx0TYpmlBdzPxBapX5B2Hyu/\naITaNTciRZGaFPQ7TGtPxK2sLJwZZgMjrwu4sWU6zM3NYd73NzyhfGlBf/D3zVadyVf6ilSuEvFS\nGIx5A1ugnqUxPndai1t3A+FY2wLL1i/HDN9zCD+5BlZm8/GAdJxXSTcxd3AL1DE3QuXp23Dv1jHU\nMzeGZyAnvwinFg1BY2sLVB70Bc0E2sBqA9dHzf1NvXkIvc0teFmPxr2EgKRfbF4T5tWXUFvJ2DGy\nPn48GIO82OOoU3UCgtPScHLZBDRqZA2HiTOw61Ykjs9qjb7ua7DQeSkv9wRLM2yOyFD0rpR1zGgJ\nO6+rpMwlws97MsJxGbu9V8HNYztbolQZJ+ySEWAEGAFGgBEo0GzeMotn4cG4GH4bu2hG5afyZW+s\nct3ymN59ItJnNKXZlRQkZdfAoeux6NXQFKKAmRhxcQieBo3llxw7JByHoeVw9IgLRg+VcwF5Zm3g\nsW0FfmufAW7xUEd8AxP6z8Oy4AR8bVMRjyZ2wuyND9AkaD3OZlxCb0lH1OXytWiHcZP+wlq3AaUS\nvHytnvhj2yr81fYnOK9xw+eGArT03I22x6ojxf9ravsxglxH4rHYHQ1qdJXnbR+N6A0zwM3VPWtq\nAgu74egYE4zh3puwc0tbGM89hs1mETiXa0399dDa38CLL1Cl+23Y1i5Pc4g10XHSRPRf4I7K/lMw\n+cRcpOz+CtxDvzqnOTrujsULj1U45tMOxsPnwrmPBdAyA3NIbreEdPTg5fYnuSMxnpZdEw+7lbIO\nEea0v4LkaR0xzvso/t7qjB893NBO93WU71IhZ5kYAUaAEWAEGIEPksA7U8TM2/XHKO7TpQ6M2naG\n2cXHmGGr3LtVMruXGa/QeNlceDq1KJRZgpCDB9F47IH8fV8y3QoYhPsIepCKHs3Vs0uycvIjsqJD\ncQGN4VpHfsLxs/F78PxrXXC6W9tRy2jP1xxccQlG7cNHYTt+Tn650lxk59LxzmarYEfKjDwYAQNs\neCVIhmpo1TQel0i+vu2qgJepqTnN7MlDxXrt5PI/IvkNsyAT9MPPrU2hZ9AV/ejAwXEv7f3t3m4g\n7Z2bgw1X3LGy5S3sNbXHdoMcHDp2HMhLwkqvFL5/oYufoIsXqaPSLJpfa4SvbeXLtbwsOkvQRiF3\nLqlz0OfUVgmulroObv+fPq/sQiJfGs7lVkcN5f1jPxkBRoARYAQYAUZATuCtK2I6aaH4oXZf1D0a\nDpfuVhBYt8BoUkf2BD8qkyKmTwttQMF+r4IHqItKVXVxL0c1jVMcSg4yPf1CmTgljNstpQtdmtXy\n6ToJ6//yQ4uoz/Dd6IqF8hZ/K8glZSQyJ19iXqEp0AH5wgYKMWV61LdI7fUJ6Ixnwfa4kvpbHSM3\nDUPLP/bji76J+NzRhSrWgXlN6uuMH+A6jQ4VcGGaC6RSWhuVUsN0mKGSysyhPEPhn7r/qg4ZjbTc\nqKu4a94BLUyUymnhNtg9I8AIMAKMACPwaRF4+3vEpNn8cmRmxco8WR1hHH8/wu4zuqcTla5jsDAg\nugTqEjy5xBm80KRg6aJJn2GA2x5a8JOHl3G3cRgd0b2JKaArL6M8HGBQUa4EcBpoxUbd8D0e4K+r\ncYqSifAYNBeP+P3plTBg7iwcmfYd4vr0R2nn7pSarbId5SyXHq9IKuWXIiOSVDM9Fe1Hdh/JCilS\nbxzHYcHn6KtBfupQ8f2lOur1HY8e/jMxaGN1DLLm1oF10aDzGGD1QX5fGt9M1F4MWXVdzkem3DEH\nKOVW9kMuN1ei7HVwpQSk7CVz9VOFmXGPFIcEuBQWGAFGgBFgBBgBRqDcAgraMAQFBeHBgwfo0aMH\n2e6y1Jat2HhZRXN00nmAVVcSYPXyERb1GY+KzluxbERrWopLwalfXXG+0XCMbkX7kzQEWfwlOI+a\ngNVxCbAQRuGGuBp6daynppJVsu6K/han0WHeMZhkXMeMYf5Ydv0v9Dd9ipXjfsG2qEsIihSgk20u\n5k9bjTuxu5Fg0hUDOtAJyuG2+LtnH5ytUA2Ru/9EBad5cKhDy4gUKtQwh2h5Fn5YPwzVdDTP4gik\nT+A73Qlrj8YhFjcReTYeVWtlwfPH3xD+/Ba1Uw/1009j/MQ/8Px5FGQV9BC2yR1zbkbjSlQSOvci\ne2jZd7Fy41KsjwFqxBzH59+FY8fNjehdNQm+TtPhe0eEa1dvo5ZdT9Q31YO2/vZTGJGVGZijWsxm\nlJ+xAl/V5czMgsrYEaPzsOu1Dxa1H8PTNw5ubj1wZCrVHxGCnfcM0Kd+GlbN+g03iE90heaoJz6J\niRM34vn5a8ht2QP2/RzKVEeYTnN82asDGr/cB4cNN3D/5isMGtUVVd+++s/3mf1gBBgBRoARYAT+\nKwJCsogQGBiIBg0aoHPnzlrFEMgoaEtduXIl/P396YXthjZt2mjLVqr4HNETRD9LR2WLOqht9nY2\nCwkkYt7cgomZCTcBU4bAmYlIg8zQDKY0SZUeH4OcGtaokXQS3++thPXTupShrrJnlUZsRJWJMjps\n8C1yRGKUVv5i+0umLKS6BkU4FFumlKK/Th1iOqEpMzRB5bI9mFJKxLIxAowAI8AIMALvF4HQ0FC4\nu7vD3t4eM2fO1CrcO3st6pvVhA193maQGRjCTGW1r/Rt6ZLyY6bIno5dzeywZc0ezIk6gIG//FH6\nal4jJ2dH7F7kPbKHloNHaTK0ICWytKHY/mpQwrh6iy1TyoZfpw5DcgHFAiPACDACjAAjwAioE2CL\nROo86M4YQ8/4oM+tk0j/cj7szTQvSRYp9poRr8i22TWRLTZt7Ihrp2+Uyk7ZazbFijECjAAjwAgw\nAozAe0bgnc2IvWf9LlYc83ZDsJQ+7yLokG2z8U7/btn3XcjJ2mAEGAFGgBFgBBiBN0+AzYi9eaas\nRkaAEWAEGAFGgBFgBEpFgClipcLEMjECjAAjwAgwAowAI/DmCXzES5NSPA46jSuPhKjwWR8M7lSb\np8c59NY1eK0d/W+ePtWYJ7yNA+fCkVa+LkY7ds63rs/5aTx78BIev9BD71GDUOe1fHO+FZFZpYwA\nI8AIMAKMACPwhgh8xDNiujCqboqbTjNxNbccj6uc8CSqkDPvILFWix1vCCvnx/Iu1nsdI5v4xYdy\npubIOzYPM049U8so0zWBZaVYTJv2J5J4A7NqyW/1JiFwG37T4DT9rTbKKmcEGAFGgBFgBD5BAh+x\nIgZUrW2MRDRE35ZyY7SvanTH/Yj7aJXv//HtPfGU24fgsk9YYgMyAzNSDvUw9Ks2+bNh8kIGqFmN\nHk+zwWhURnmlZE9N8trKWybOuc5FVBELZCV2hWVgBBgBRoARYAQYgTIS+GAUsXRhPJ7yM1mZiImK\nLzLTJBAnIyYmXs2FTtb9KziiMxAtybehQJpO6akwqVWjkMIjQWJMFOLSOBdKXJDSfQwSxAW+K6Ul\naDXpwke4H5NEJeXlJaQIRV46A/1BjaHH+XNUBIGEZCgkO2eZ/8SWZHS1lEIoTFNm5b/vBWxCg+86\n5Dsz5yL5tuKVballV9xIcXrKaPgJyel4GYNELEGmKBz7IsToUbsi+aKUV8AZuJWzlyCeY8w58KYg\nkCQjivqjJMfFFWbF2Ul7EqXKl8vFAiPACDACjAAjwAhwBD4IRSyXDKv+OGMWhlma4IuRC3Hh8lZY\n2S3BY4WiEBewCpWtFiA41B8OVYcjiAyjciH+4glgeleYk0/Lg86z8NvSYfh2110+jfuRJ7wKJyNL\nbAq9haW1rbApKgvCAG/M9fXFwOF/8sqejug8qlj8gEip5uXMsPWTMMj3MiL8vseXm29Tndfxu8so\n9F8cgi9T/bF4+1W+veyoY+hkPhInQg6gv5ExBqwP5ePzhPfhS67Bp3oexlHv/2HU5ht8PMjz5KVV\nSZjQoS5/zylsG0fWwdd7IxC73xljVPqhKMB/lROexXC/buhXi/MxWZYgQeiO3/DDwAG4ADtc3+yJ\nTVdiIQnbA+eV3jz74RNnYY5tC9Sp/juxSccelznYs/sndFf0hV/6VWGVEOiLylUccTw6Gn5Ow7Av\nvuzKYVl6wPIyAowAI8AIMAIfGoEPYrN+2MHrGDVvCvb5n8DA5UsxrFYqHk1rhJtJM2H2bCuajbyG\nc0/3oC0t4TWL+Rsu/vdwYnRtXCMl6IdVPpBG7Idfy/GYmTMP3ZKy+GckkEZjViMHVD56D3O758Jp\nApCDGKzdIYDrPFu06Szi86WGnQe69sVnukUNuwoktzHf5QZWpKxDw1MPsDk2Fzo1OmKm5wIc2OqJ\nKR5LYUvlBJK7+L7tWDhcjMUk24qo9tdqBDaoztf/7MYZqn8Vnu6eCNOYavil9XmkjG8Ns7S7cBP0\nxKV6lSmfBAFOPTCjji8ypvVD0plrOBOazpdX/fGS/HJOsBkBn+tPSfksazBAZ6dZsDS6iyPR47HM\nrStfwWnXbZjkOh5rtmxHv9kr8b9vm8PwWn0IwvbhZr+ZGJ/oipUZ8tnDJzepL12686yyI7aj8cDN\nOJIQjB70XAIv+iI0mabSyqwglrUfLD8jwAgwAowAI/DhEPggFLEmP8yBVaQvRjdbDt9aOrQRPhbn\naBapDflTPD7XAw3WHOWVMNDMV9TFB0gakkvKz0NaYquJGS2qQQAHrLN6htm1Q7Hxfgv+6cQcXANf\nnTl43F2usqxPeU75JEhaPx6Ryzqi07qD/JJg8Bk/dBp5AKlB+/HbpXjo6+cgz6g9nMb3RAVyrt0R\nD9G7ijH6TlqHdQta83Wn3jiJO10c0EihvMUc/R2HdebB29aIlkijce7SCwzcxu1bk+DmsYMYOyuQ\nb0sY84Di5PKkRF4CbBzQkE5L6qRFYP1eUgy7HsOiqfuRaNkbt5w78m0pf+TGHIOZ7Sj+NnfFd9id\nUFRRU+bVSbmK6j9dwIbRzZVRiu9MXPn9NH5c5pEf3+qXGSj3ZJtcfuvyMLSeiPWdgFfiVljQWIR5\n5uex5vp2Pv+Dk0dgPWo8Lf2S4ujL1ZGIgHULcSj6Ccw+nw9X6j8LjAAjwAgwAowAI1BA4INQxAxN\nDHH3kj/tl1rD7+/Kig5FuGAoGpvGw5uUmtGL6/I9EkiFvJIzenFNZD08gAs6jliR+gQp1Wqiwm1f\n8iG5ELP1REiSVEeWKJGWLUegipKFri5kIF+VJom47JOMMWH1KCUR531EcLxeB+WyYmFlbQV9is2r\nxPlNlNLepwyMvX8D/SIuwX3wJGwa4oCF7aog+vRONBjyN8majDtReRBQW+Vnj+XbyosLxS6dX/BL\n7hPal1YZCXeyYVfLlJcimpQ+jFsOTl0Jozq6fLcZ6bQnS5JxFRcEYxF6eC0aaHlietYDILp/ClMb\n2aPtzI2Y0LAiX2dZfggkcfz+sCl0uEEgfoS7L6qjcQ1DhO08CMx2K2BFlZYjB9468ZfhKxiFUGuu\nrac4TXvdfp5shmRhMoTXMvHj0btY3t2qLCKwvIwAI8AIMAKMwCdF4IPYI8btlwpZcgdDm9elh5OJ\nXU4L0MlnGhobWtCZSFKg9OTayc0NLtjV1RPf2FZBzMXjaLS6A2I3r0YY2Q47u9YXM1b2xZ1FnnhA\ne8sEORnkVtJY8bClCHT/ET4RGTTbloBlaItmNPtTLv46lgm+hJ11BVjY9scYR0c40me4fStUEt9G\n07ZtcUFqhTZ9hmGQTSU0rMrZJ0vHtdUiTPuiPp5sno/tQhm1FY2XCfLlu7Pev6LJ0m6I374GN7Jz\nae6oGxqSIsPtRevn8xTbXPtTj+R1DGstgffSkyhfsykJbApjhRKWFrIBPyr2ZSk6wH+Vp2XRP2P2\nY0N7LzxXTSjlde7DEFJef0UXOtzgP3cZLdRyDaYjyC2ctto1KlJLTjLN4Nm0oKVIUksjLsNbMBLt\nK9zDsu33YVaX26Oml1/mvt88/Hw4Ov+eXTACjAAjwAgwAowAPgwbBTpp0Tghy8GFBR7Qq38Ph/+3\nBacUy2pD9kzF/zw8odf4Ibbc64XbhyfyMzfl2/bC/d6/YL3zPPiZVMDNDl2xaO0CCPvOxJ+0Zylv\nzCKMrueKpUZDIT59ALIRS7HExgh5aIo935bHBi8vTJ7vBtCmfU37w/IM62B11xZ0IOBvrLywAw8m\nHsA6fmZIChsnO/zuPRmHMBA7x9NSYw03dBu3Dcvd9+NBVluYHVuKtc2/w84a1RD3Uz1MmeoC8y0X\nsfzsXXxVg1NeKvF1DHTyxMJVW1HJrBL2T/8NI13XYViFYPil9MO2VZr9U+aZdYWboxdO0sb4sWXc\nj1W+TjN8KVuOFa6jkdXPHctIFh3xQ+ySfYbFtMRbOFSs2w2j7/yEReszkXGR9ofJRFg8KxvDl/vA\n3vEPbGr1Ddb5jEbqhT1IsZuH1ePrF66C3TMCjAAjwAgwAp80AYGMgjYCK1euhL+/P9zc3NCmjeYX\nv7aybzJeHLIalgvM8NR/GF6RhQcTE27mqSC8kqQhRWKAaoXic9LSkGdiwi9nckuJaSIxDM1MVLRP\nCR9XztAMlRVVxgbuR5BeWzi218e2rm1w5dcgbLavU9BYoas0kQgyAxOYGiqmq/j0om1xpitSpJX4\nfOpy0SEBkvMlLfVVVq2C5BWnSWGo0idxmohMRRgW6WchkdgtI8AIMAKMACPACPzHBEJDQ+Hu7g57\ne3vMnDlTqzTv/dLkKzFt+PZdx3cgFwZFlDAuoRwpQoWVMC5eP18J4+50YaKmhHFxVJ9ZgRLGLXv6\nf0l7vZKykXRhM6bfnYyFxShhXA1ceXUljIst2pbMwDg/n7pccjnVlTB5HapKGBdjaGKmsZ9cGguM\nACPACDACjAAj8OERUJuDeR/Ff3b7CpJ6LMMfGSLcjM9G71oV3qKYlTCS3PvkntyHrUZtEJ3m8Bpm\nIN6ieKxqRoARYAQYAUaAEfioCLz3iphlpyGYTOYS3lUwpU35U+nDAiPACDACjAAjwAgwAm+bwHu/\nNPm2AbD6GQFGgBFgBBgBRoAR+K8IMEXsvyLP2mUEGAFGgBFgBBiBT57Ae780mSd6gHNhCahYUQ+C\n3Fxk0ocLMj096OlVRIPWbWFF1uf/65Anuo0DR67jVe3OGNKnkcrJzP9GMs4g69Edfjh97ylMLdth\n8IThaGFWYNfrv5GKtcoIMAKMACPACDACqgTe+xkxmW4FGGbeQv/+/TH6QhzZYDXmP+We38KX/Xtj\ne3iqan/+s+ty5O7ILCcQE4ceA5mK/U+DQPoY80j5OmzWHYs93fG5/lZ0mbKfTF+wwAgwAowAI8AI\nMALvE4H3fkasnElN2Dn0xSC4wW7oELSzUbjuadcOz+tWgGf6+6FeyAyro0s3zlG2RMWe/Jt91Bkx\nt3AqOBTPczjDGznIqtwCExw7K+ykFbQlkGTwvjiXf9UeRuRz88Y/UdC3tSqSr6AEu2IEGAFGgBFg\nBBiB/4LAez8jxkOR5pKjHRkkueSbiEJuzCWciMpCheYdYPjsGR+XHBOJkJAwxIrlS5dyA64iJIiy\nydF2OmLIZ+MLeXE+f+EfL4WPqHwIoim/akiPl9f7VFzU7q0yLUHRpjSX8jQlb5RSMWKiYpAkLqZB\nlUYyRU8QFVWcfJk47d4LNVttxCuLRujUujmaN2+L9g1qaVT6ZAZ6aIFyWL/hCtINqmPE2tsQunBK\nojxIyeVT6SRTlmDfjAAjwAgwAowAI/A2CHwYihj13BgCvMxKhZSUnDsXDiFMJCGL9i3gPLoeAlx7\nopNvKOUSYpmlBdzPxNK1CKcWDUFjawtUHvQFbG1tYLWBy1M0cH4QzQZvRVquCKvIsbdn4FM+0y3P\n5qj14xUIssIwzNIEf4QoPTjKFaNas04gK/cuGltWxWZyAC7TIyXsjjOGOq1E6N1A/I/id1F8ceH+\nrnkYtOgw4qP3wqrqTDzWkDlq82S4GbsjI30thvfpTH1ph3Y0I9jetrbGvWgy3SZYHrwRj1wcqM6p\nOP0oQyXfUyw3r4UqXppZaGieRTECjAAjwAgwAozAWyLw3i9Nqvbbb60PBLY6OLJ4I4ZcnMsniQI8\nMOLiEDwNGovKFNMh4TgMLYejR1wwhntvws4tbWE89xg2m0XgXK61anX8tUx4Eu0m/IYjCenoQT4o\n+wYvh1HnPZiU9gOuL0nCZz490LZ7A+z18kfTczH4sZ05kgK9MWS1DW6nz0BdJMIV+jhx9zlG1pdX\nP3uNG1+XzcK/0DEgEqMbdizSLhchkN7FIqezmJUQhL7SK2iGveAn/dSeSjKOTSfn38+6aKxDW6Re\nnc/hH3cPMYG70KN3M7g6++GeWz9anqyKPl6zYNm4uraiLJ4RYAQYAUaAEWAE3hEBtVf+O2rztZrh\nliYnzHPDJNojNq2rFZamc4trEoQcPIjGYw/wShhXMbe5fxDuI+hBKno0z4JM0A8/tzaFnkFX9NPQ\nsiRFvrS5yMMTt0wFyJEIgSbGSJQaYmLsJRgfCMDsqUJIngehcTdXvobnkTSb9M03qMnfVces5/G0\nacsA0rDzQLNVaEMKHRd09Y3JkaT2k4oyXXPY2cRiqCXl6zoO+24uQYNCT0QgicV+2XEsGDISXfGC\nr1f+IxUx9X/GNe8R+X2Xx0sR4jUFqyLSEbD3GHbHpSPjei0YtXXDTefP0cnQAO3Hz0R7lZrYJSPA\nCDACjAAjwAj8NwQKvfb/GyFKalWg2NCk3COm23oMppLzay5UqqqLeznKfWFcjLriIyDlRbG1jEss\nEgS5tPMdneE5zwVtFQrUrLlSSHWfwqN2JxyfuwWHvaeiYog5el7JJQfdIrzIoyLPM8G1ygHUJSWM\n1kzl+64ic/h4iqbvovvKuHh5kCIxKhn9D/yDnk+iyJ/mBAzz/hwp3gNVlhFJsTSogyE29vDa/xfa\nlcJMh0ASiUXzb+LXlGCs/jYYuSSawLoFeiibZd+MACPACDACjAAj8N4Q+CD2iHGbz7k9YulZEh4c\n5+Tb1IBXgdCkzzDAbU/+3qqXcbdxGB3RvYkpaUhypUyvGHWzYv02pKQE43ascraJFLBBc/HgwT9Y\nhnpY7eyAKtTqzZ1/IoJUq1sH1uNJo+6A/zbcTJMrWrKYvRi06joMKspnwpTeMMnymdYHrSO+jYZt\n2+LQCws0bdcbTmO+RnnLampKmLxwVQyYqI/p3ufLsMH+Hq7fSYVlp06oQ8pb7Km/cEHnS9TmFc1M\n2lM3BgsDorXKxhIYAUaAEWAEGAFG4N0QKLeAgramgoKCSCF5gB49esDS0lJbtrca/zL+PGaOccft\nyk9w5NR13Ah/hlY9O6KqrlzJqWTdFf0tTqPDvGMwybiOGcP8sez6X+hfLRm+TtPhe0eEa1dvo5Zd\nT9Q3VZ8t4wSXla+B/w1pBo8OXRFqUg3XfP+EmfNCfNG8JsxivPGrfxoEd08iWK8xDJc4I8D6G8z7\nfgKG1r+Hnr18YWAhwuYNjzF1ghk8xnshnOybJZjUQ/300xg/8Q88P38NuS17oHsDTp0rCLLy5WF0\nZBPuVqv+TPJ8AABAAElEQVSLF4EbMeGwBU4uHZrfr4KcQNVW/VHr7Cy0GXQaZi2NkZOUgPj4GMQl\nvoKlVRWoadO6FujQUhdDHb7ChRghbuxejCUxrXHy1EzUK88xS8GpX11xvtFwjG5lodoMu2YEGAFG\ngBFgBBiBN0RAKBQiMDAQDRo0QOfOnbXWKpBR0Ja6cuVK+Pv7w83NDW3atNGW7b2IF0jEvLkIEzMT\nDbNKpRFRijRRGsoZmqEyLecpg0ScBrFUF2YmtBQqJbMPugb59QvoBGdSmgQmZmb5ccpypf0W01Kn\nRGoAMzP5Umtx5bLIlEbg1ZtIecnlIjtihs0wZlB7LfbBJEhLE9OeOZo9NCxmSrC4BlkaI8AIMAKM\nACPACLwWgdDQULi7u8Pe3h4zZ87UWsdH84aWGRjCTEWB0tpjrQm6vEJVONnA0ISMpyqCihLGxch0\nqc1SKFDK4pq+DU3MFLvdNKWqx1Ws1RRf0Kd0wQAmJvmSl64Iy8UIMAKMACPACDAC75SA2qrWO22Z\nNcYIMAKMACPACDACjMAnToApYp/4AGDdZwQYAUaAEWAEGIH/jgBTxP479qxlRoARYAQYAUaAEfjE\nCTBF7BMfAG+7+znkRzNVYQdOU1uv0p5Akx9PTXlZHCPACDACjAAj8LERYIqY1icqxeOg49i1azMO\nBMWp5RJIk3Hp8N/4a/MuBAtVjcmqZXtjN5yT7g8xcO6jBg/cgfRijoToSZ/Axepn3JJoPbz7IXad\nycwIMAKMACPACJSKAFPEtGLShVF1U9x0momrueXUcsl0K8HSJAU/TluLlxWK0TLUSpXuJjVkD5ar\nGFstR8pMFXNzBIk/NEUlGWsau2PyUVfULabreWYdsTGwBbpOOVgGg7XFVMiSGAFGgBFgBBiBD4gA\nU8SKeVhVa5PPSTRE35aFjdkawMqYjKPqjEFzE85I6psKUlz1nYfrKpNsr2p0x/2I+2ilcL/0plri\n6pGIxW+yOrW60s94Y4GTB+zNSuZjYDsKPnd+xraoLLU62A0jwAgwAowAI/CxE2CKmOIJC8TJiImJ\nV9vPlHX/Co7oDERLFWWL2/MUR4Zf7104ASxoy7s/0j5IyJ9kTAwSxCqaVX5mCaVFIS4tm4/hlh9z\n0h7g7N5U9K9PTsApCKTpJFMqTGrVUDPaqklWLu5hfCpfLlP4CPfjk4qdYRJIbmP853+Snf3XDGTc\nVkwyS1Q+YjEZvOWrk+DCpjBsnNxFQ+Uck6h8WeUZKuF/v83A5oO3NeRnUYwAI8AIMAKMwMdLgCli\n9GzjAlahstUCBIf6w6HqcAQpfEjGXyRla3pXmCuef8TmSag2ZQfObfoG3eafxoIeDbWODAHtfVrn\nUBcuR85jy/A6MHLYQO7H5SFPeBVORpbYFHoLS2tbYRPNBD29vAffkZNxX7RH1A4fHI5KxEHnWfht\n6TB8u+tufjuaZX2KtROn4NcfHfDFyJGYtf0K/lnniC83a1dsYvb/ibTv+pagSOY3q3aRG3UMnatY\nwJKWTM1VPpaW5vCNyCAF8glOBEhRs4hLqURsHNkTnsGxCF/XEUZeofn16htbIfzw9XxG+QnsghFg\nBBgBRoAR+IgJvNkNTh8gKHHYBjQbeQ3nnu5BW1r+axbzN1z87+HE6Nq4tv0qfljlw/dKHLIOdtNz\ncDV9NmxoNunAkpfoWJ8ci2sMUgTO64PZzTchY1o/iBreg+eOyrwbJIE0GrMaOaDy0XuY2z0XThNo\niZDmker0+Qa/H4jB4b3tsGzZQEgjtmNcy/GYmTMP3ZLkS3baZD1kcxnRg6dizOWxGGHpgeMuvSAK\nuIUZ4ZqX+mICFsN2shUi01polL64SE5+13aHsCJOBOPdrogYsAA1N89H2uTlsOdmDnV1IRBH4wma\nwbLQcqokbD9mxA7Hs9F9ke7XF3ha0FL52g0wgEppmjssyMWuGAFGgBFgBBiBj4vAJ66ISXB8rgca\nrDnKK2FAJqIuPkDSkFwIJA+xL6ImZrSoRk+c8i1YDmufo+AcDL0Iv4QLAnvsIkUjTxiKtdvPQKav\nD0EO0MzxB3xe4SoG+CRg2/1e/GiJvHgUHQd/zy8vxhxcA1+dOXjcXT7Ptj7lOa+8kCNLBO39C0O/\nIs2MgqCOA9ZZPcPs2qHYeJ9TmLTLqlffEe414zB5QlXsj+vJl+fa7N3me/5a9UeI19foPf8QRTXF\nwpFBeJqh/RBA2qVkTAg+hfE2RipVVMe8pxvIf2UKVh2rjOFOApx7YoGOZuoO1Q271EFVlVLcZaWq\n9YE7jrAwmoO+k9bhtkeB/1IBv6apX6gEu2UEGAFGgBFgBD5uAp+0IiaQPMK5Sy8wenFd/ikLpELF\nfU1kPTyACzqOWJH6BCJpKo5cysDXinxxVw6hyVI3iOPjUY5mgKxqWkNWnqp4WR6WVXSR+TiaNKlx\naFaNU04ScdknGeOu69N+ryRkixJpuXNEwZIglecCt5zH7Q8buLAWKXePkGhaF8a3fbGr2ULM1hNB\nlJaqVdZy5A+zYsIRfj/bapqV4matdvs8h6OiTWtrTpmUh3bTtuNOs1VoNjQdc3YvRF1lQim/Of+a\npuSfPDfqDHzr28EZr5CRkIBszvyEQcHGfPHlWCRTnZUV9QokyXiQ25QOHoQhNvwiloyYgt1DHDC7\nXRU+h4zHQJosC4wAI8AIMAKMwCdE4JPeIyYzMKczkbqQ6cmVoZsbXLCrqye+sa2CmIvH0Wh1B8Ru\nXo0wcsttLmiM1o0r00zZbSydfx2jWupg46wjkNRoiaGjHeHoSJ/Rg9DEhFO+XtKJyhb4jKpNC9yM\nZTrT0Vx0Ap4XhDRrlgEYyzfjc7Ngge4/wofbVyVJwT2dyehR4wXWD14MEXJwdq0vZqzsizuLPBGl\nq11Wbrw+unwkfz9b9p2T1A8v2IqOYEloWpHhXLuPMyI2pGDYeu17yIoUUouQInjdfNgNtCWlLw67\nL11DmoqpM5mBEWriDh1SKJhtyw73ha3t98ipZY2O9t9gbFdjGBkXOCXPS4jFMehDfV5NrVF2wwgw\nAowAI8AIfHQE5BrIR9et0naoKobsmYr/eXhCr/FDbLnXC7cPT+Rnq8q37YX7vX/Beud58DOxhtmy\nVhjr4o6BWU9R0aECfu3fH3OP3i2Y2VJp0sB2CJZ2Goo5nglIjb6Pbk3S4Lq4PubtmojG0kUYXc8V\nS42GQnz6AGQjlmIJLf3JJBXQqEko3Cc6ocayFWhpYICXHbpi0doFEPadiT8NzVBTi6zckuq1DQX7\n2fSN6qBbyk7MW9sSy3Y3UJGs4LL2wO9Rv5c/UpxaaOxDQc6iV5wyOntLIpa4m4ObIRsveIyzD1LR\nPX92qyb624sR8zwbnQwr8hXo12xN035huHzYD38f244HQ/ZhXUN5GpchPf4ubIb1y59BK9oqi2EE\nGAFGgBFgBD4+AgIZBW3dWrlyJfz9/eHm5oY2bQr282jL/6HGv5KkIUVigGomBTM0XF9y0tKQZ2KS\nbzpCTPcyuq9MM1lpNAVkYkJrdFqDBGkiKUzMDGnWSIwUqQFMDZR6L5cmRjlSriqrNCmQiJEq0aV6\nlZHUDuUzNDPhN/pzTWmTlbe+T8pbfgviNGTrmlCbWgUkO2ISGBgWk0FrUSnEYikMFWWlJDdVlN82\nVywtcD5qH+iMDO9+KrXI+y0zILkMlZJyyenwMW4Io5uPMMa6QDlTKcguGQFGgBFgBBiBD4pAaChN\nrri7w97eHjNnztQqu+rbUGumjz2hHCkG1TToI/qkdKkGw/x7TlkqTgnjShmQEiYvze+rUiPNpRVt\nUEbKTL4OxheldkgJUw3aZNUlJUw1GNC+MfUY1VT59espYVxZXVLCCjqkS3IXDibdp2LZlwNx0LUv\nvqqhXAHX3G9JyE64frMRKUwJK4yR3TMCjAAjwAh85ASUb8iPvJuse++eQFX89HAxNjVZgAdyK68a\nRdARXYZjn1j84zlAbUZNY2YWyQgwAowAI8AIfGQECqY1PrKOse789wTyzHri8OMmoOMJWkOubn38\n8cwTVionLrVmZgmMACPACDACjMBHRoDNiH1kD/R96045k+owLUbd59KZEvZ+PTWB5C7m2VnAzq4K\nJu4Kf7+EeyfSZCJg6iDqvx2d7J2A6yqnf99J86wRRoAR+KQIFPOK/KQ4lNhZzsdklklNrUrFq7Qn\nSNS1glUha/IlVswygGN344EQnCm2zFzNtvX19AoMW5g3sUUdw4L7d42wpLHAySMQP8Hluzno0K7e\nay+5ZoqEeGlSQ+uY+zf9Lm68CiQZ0Bm+H8HTNPkK/TetvpuyZX0+mUIaezVU/blWgr33YdiTJbx1\ndj+BjqKwwAgwAozAWyPAZsRKgVYmPInBA3cgvRi1VY8MsrpY/YxbnGFTFspEIO/5FfTu3Rtde89H\nTNJTPHr0SO1z794tnNjpxefh8jnueF37Z2USS2Pm0owFrmDc8V/xRd/jkLt011hViZHRm8Zizc3X\ndstebP0lj9f/TtFVCv5SeAsBAWcQFBSEswEBCBUqaUrxOOQiAovEA6/zfF5GbEEz15N0Frpw0IV+\nlQIjxYVT2T0jwAgwAm+CQDGqxZuo/mOoIxlrGrtj8sMrxVqhzzPriI2B4TCfchApGwa/9izIx0Cs\nrH3QazgcwV6BsJt2A/rNB8HRmpsbKxyc8Ks3EBu4Cs2/3IPHTm2KfR6FS7+Z+9KNBc6uW+Dq05ge\n4Pmv7KLp6lu9GbE11PIuxqtEKoWBwnOEBhFKjNKvbAHj2D/Qf8QujPQ6DLfKyj9XujDWe4yBvX/C\nlE1H8H1+/Os9n8p95mDnmV6YE9gKyxWux0oUjmVgBBgBRuANEWAzYiWATD/jjQVOHrA3K/k/YwPb\nUfC58zO2RWl2tq3aFGd7S1L0X3DVLJ/Utc34RVjd9SkmtHLG3WJmFet0d0awuxh/hb2dmaLioJd2\nLOik3cG6u+MxsZPcn2hxdf6XaWUZr2WVk3Na33vV9bIWU8svM6yOLt86oQd00LJDB3IiXzBL9yL2\nAb7ZEY7Fjj3yl6n/zfPp7LoQfwz6ndzOs8AIMAKMwLslwBQxqQRiiQQSlY+YDJ3KdSQJLmwKw8bJ\nRffKCCTpiImKQkKa6p6mSvjfbzOw+WBJS2dSnJ4yGn5CcoX0WkGCR2EhuBbxUGXpizP+KkKCKJsM\nyJJsMfF4oVD0OIOyMVEx5HIoFzmiB7gQdAcv+HY5w7QiCIUi6q8UidSfh/HcNef7Mh1RVCaJDLeq\nhlfiRNwKCcH9+NSCaGKo5CfPLZXfi8UKjgVZtV9Vxffb/NBDtgMdXA6q9KtoCZtpazGrWZWiCW8g\nJj1ezolzP5UYo7zmKi79WEgI/Bu1N4wlN08lhUzE03PiFtwE4mTEK9iXVEouG/esVJ5BsYUkeELP\n9mmRTeelHa9ll1OaJR9hxYqlSMxJSyzSdynNpimDMQR4ll6wU0sn7TJ+8K2NxYPqKLPQ9797Pnkm\nHbF/3C2cLMU/USqNsktGgBFgBP41gU9aEcuNOobOVSxgaW4Oc5WPpaU5fDn/j7Tv60SAFDVNC/4T\n54jnxpzEqJ7OCImLxqLaFlin8sdb39gK4YevKxQdzc+nnPAshvt1Q79ampbgNJcpiH2KX4ys4BX7\nElkXV8LCeKZiBkmEU4uGoLG1BSoP+oL8OtrAakMoXsafx8AqfXDwVihWW1ZHtYG/Ym7/ztgXw83a\npePksglo1MgaDhNnYNetSByf1Rp93ddgofNS3LobiAmWZthMLLiQG7MXppbfIh5ZODarJbp4nuMV\nrefXDmKYeXWe4QFhHjIDl/PXdhN98aiY2S2+UpUf3HLZ9qMewJZvMCsgWiWl8KUu/sWKV+HK8u+z\nIw7gl4VL4Uh9HjnyR/wVfAGLLLvBj1iVZSzkmPSHx8D6+fVquwjx+hUrfF3R024EpngshI2NNaqU\n6P8zERtH9oRncCzC13WEkVeotur5eB1RKJyMLLGenu3e4TX5U4Cq+xhLM15fS071XxmtMt7ZNRnV\najfk+97V6yqfrxztyZzyu3w2TWZQD/26VsaaW/GKOiQ4MHM5vt34jdqy779/Prqo01gPfiGxWmVl\nCYwAI8AIvA0Cyk0Xb6Pu97pOgTQaru0OYUWcCMa7XRExYAFqbp6PtMnLYW9Cy5D0pheIo2mpohkt\niagvS0b6rYC+61YM71MTBvSSeJhb8N97+doNMIBKqc6TqYJ4GX8JE2xGwOf6U7zOwpWO+BmCSf2Z\n2t6OHIS3wRrXutgdPhsL21XHcO9N2LmlLYznHsNmswicy7VG9P5huLBwHY44toG0wXP4TiqPExl7\nFC+xihjhsQrHfNrBePhcOPexAFpmYE7bn+CWkI4e1O+Wnv5oeywS42064knwCaDZSAxo1x1frt8G\n9zo7EeXcE007jcTRlHaYV6UjrlwLQ92EZDgfCIdbH9UZC1UK2q9Nuv+IE3MP0r6gMegdcR7/q1VB\ne+Y3nBJ+OhpfL/wJf+3dj7buv2EC+cJ8lBOAln63MXxy+VKPhTrde5comUByA9sS+2H+iDjU/yMe\nR4IXYoRpOdxuW73YspKw/ZgROxzPRvdFul9f4Glx2Z/Cw7o/cvbcxGL7OhBbxWCBvQy1VGy2lTRe\nX1dOTiqB1t8CucySsA3otM4a4c/T8Zn0IeZadsTeMfFotP0kBn69Mr9j+lSTfoZ8uT8tcB02tnbD\nsRrqmh530rO0v6vano+emQWux6Tnt8suGAFGgBF4FwQ+WUUMqI55TzeQz8MUrDpWGcOdBDj3xAId\nzdT/wBt2qYOqhZ5EFevG+HtsU/yNppi54xh+JafdyiDgdTJ95a3ad27MMZjRPjIu5K74DrtJ2dEW\ndFKuovpPF7BhdHO1LHmGrXHg4gEc2j4XP6dmIVSWjSF6iscoyYJM0A8/tzaFnkFXcF4eo/6hDd9R\nIr4OcTrXXjW1+iDNonmxRvjaVq4WSrJyAJ0laKNQPnNBp0D15Uw+G/07Lhjuw0JXV2Rnx9ERtVSQ\ny03AkC7JMOvC+34wbtQDW+aeQsZrKGFywXTRyWUX3Be3wNf7byFjWkd1eUtxxy2rRtPMXL1apqXI\nXZClxXc/Izd2Hxx0foE775BcgtunacapgzxPWcdCQc0arnQbwm1eQ0R7TEOD1Xt5pdzcZTU6aciq\nGlWpKs203XGEhdEc9J20Drc92qgmq12nBW7DMsEIhH4uV4gfXgoAFniqOXkvbrzylZVSztyoA+jR\ndjlMusp/W7jxezsiFw4Xu/LVaBrPTxMq0Yzzd6hDimEeaPyE7cP6k7tBajh+zXeLVQkth7RDzsZ7\nkLjUorGXgd+DNff53z6fWk1boVGMGkJ2wwgwAozAWyfwySpivP9HUiByo87At74dnPEKGQkJyOaW\n0lRmDMSXY8maEPKXQbg9VqKWsxB5fSLCzm7DqLGz8EVCANoqFBcZT5SUGQ1Bz3oARPdPYWoje7Sd\nuZGfcdGQrdgo7oXXoNs3WHE0HL91t4Bf4H48oP0xEnF5VKC2BbQoqjJBh9qt2wHTHPEzvkV0uAz7\ndk7J70t+Q4IqqFSSY0rKHOI1Fr3d6uHkvSXoVC0aEVudIX2RBomBKZ2OowzSl2hOEoQv2YVbkzug\nZaGZxPz2SrjQEUXjnKAnTnyj0IBKyF84WXxlHTpc7QWRS9mUOM73ZtzFI8D0qYrZymRc93+BcWNr\nUBPJKOtYKCyX6j03/qoZJuI3nyRMCK6rmqT1WiBJxoPcprgfEYbY8ItYMmIKdg9xwOx2mvfLPY0k\nJbLLIFTnx2Q6riwJh3tgddr7Fg9j61q8M/vixisnSGnl1Gs4GFcyBufLLglbh54X2sC/GEW6nv0o\n1MsvQfp/7Wpwtf0floYlFjp1zGn6T7DddR4arPdBXZUyqpf/9vkII8Nwn2bAWWAEGAFG4F0S+KT3\niHGbnoPXzYfdQFvaAxSH3ZeuyWd4FE9AZmBEG67v0CZ3Us74IIFfvW7ovjkaNRu2xJdjvyTNpxmq\nqygceQmxOAZ9qM+rKYrTV/kaHfFnzH5saO+F5wXRpb6KOrue3liu+Lo7N8uRjH8isumF+hznj9+m\n5VR5q8oJMnml5enofwBmT56KPzfORxfLQkt9XBlZwQlEg4ryZVj+3U0V6JFiJQ/pCHG7gsH7f4Ed\nLQvl3r+CC6iB3Jv74HXlOXTSQvHjsLPYkpGOs3Mi0XX4RrX+vUp7hJCgMDrcQIpbwUquou6CL4H0\nMWZYD8JXIbRsxS0RlzlIcHrnY+z/4XWUuExc234V/Wxr8a3G+y2Ft84MuNCy3uuMBaXo3D6t6Q4/\n46JQfcFaRnayvAW90bleZWXWYr+zw31p79/3yKlljY7232BsV2Pa88Vp0GQJ3nUMFgbcUyvPP7u+\nNrziLQk7DFf0QF8LIdb43sofnyWNV67CssqpFEJH8/8jyuSi39JcDGg2m8yXVFRLq9WhPxCxBr9k\nj4WTbcHss2qmf/N8lPVkixLR2tpEecu+GQFGgBF4JwQ+aUVMILmN2VsS8W1bc/rP3xrjBY9x9kHB\nSTSZbk30t6cTh8+zFQ/DAJ196L/+5DAc8fsDI/v+gc1Bs9VOx6XH34XNMLuis04qjzPPrCvcHP/B\nyfiyn5ps2O8XfJl3FPO9fGiZZi3MnYfCrVsnXCr3Er5OLrhAStXkIT/jRIxcZnFCFHZPs0cjG1vY\n0KZ8S/Mq+NLrEi8Nt8GZL4NI9J+4BiFhxzFj+hYgbw5+8DqG22fW4luX08D8yfSST0I3n4k4QHWv\nWb8cM3aIMMX+Pr4aeQ0Nnm2BYe2e2E0HH7jXWHXrVsAlZ9S3m4Cz8dl4EbYH7Uf7w6iWFC61P8Pf\ncfL9PipIFJeZ2Du2J1J3/IPxDTW/cLmMnNX6aDodqgzPIq7jSthD/pSojug6LtuMR3cNSpxAkoib\nEXEQ08nPsJAwJBXSCHXED3EyIhMnfVfhD6/ZsFldFZcfy5/v64wFpXw5GUJsurQVfjcTlFH8d86T\nCMCmDxqqzMCqZSh0o1+zNXXeCJcP+2HlxIE4M2QffuCXUF/gUeA5rPQ4o3ZIpPHI2Rjt9isWeC3E\nT1siMLKLGItn/IEW47vlzziVZryWVU5ebHWds1BPNN/qpCbBeFjPInsn9Tjb9gJHcgz/ueaCFPtv\nno+8Uike3sjF8Ja1tbbBEhgBRoAReBsEBDIK2ipeuXIl/P394ebmhjZtNO/L0Fb2Y4lPC5yP2gc6\nI8Ob23FVUkiHj3FDGN18hDGF/qsvqWTZ0qXIFKXhpaEZTGlCREIKhQG/NqheC6doDrBYDI9ne9BS\n8bLPE13FoHprMJ/i2pVSAVCtlTOFkUQbw0zMzOhlTmYqpLryZUnVTGrXmdhk1w9Vjl7CV2YJmGvn\njXHBy9FQLY/8JsxrCLqlT0aGWy8NqcooCfaN/Bwv3E/wS7sxfvOww/QbfJu5Db+bTMGKDhWRQct+\n+TY+lcVo1uik13Ykpu/DlCc/4PTnl9A3ZiwyVJYvpREbUaVzOh6nTYWOiOsjLYmphLKNBZWCdFlO\neB4+UQ3xQ3erggTO7AcMtPKL8BqHvZ3pBKva0qOEzJSIaYbOhPY3KuctuSqTsdX9LIa4DSv0TwDl\nT5PCxITrC3cNulauQ2serzpp/2DeVmDhtNeZVeRkoblmsiM25FhDHFbhK0/R/jOenuUm85+x4DWN\nqv6b56MjOg/D+ucRmbZQ5R+rdGx0cEL9vbv4gyvaJWcpjAAjwAgUJRAaGgp3d3fY29tj5syZRTMo\nYj7pGTGtVFQSTLpPxbKt7jhIm79LCpKQnXD9ZiNGvFUljJNCF5VIEeKUMC5oUsK4eJlBVdjKzuLE\nP/f55UApvfgfhV1BoKAlv0Gay1PWwO0ZMuOVMK5kSUoYTWRIHuL83U5oRwZxdWMuI6i7HbKDQlCw\nGCqXIIks5nc73R9PtSphnPL5CP6eI/HdcVq65GeCuKVTCVYNHoPlYXXxbZtq1GdNShjXRjm0GD4A\nFZ5YYtvS4ejg6I3nzgV7yF7R/qtTvssBx2q0T5CUlUJKGFdDWcYCl78gZGL/sk0wbyg/EJEfr6td\nCcvPU+TCgFeC1ZUwQHjmT1yp37yQEsYVpvy8Eqa8ViphpJa9xfGqa/N1mZQwbpvAvdDHaNmwbAcs\nVPG8/vMBLixaSJ4QflJRwlRrZteMACPACLw9Aqr/Ur+9Vj7omqvip4eLYV9/AZqJFqKBFmI6ostw\n7BOLf55Nyl/2+e+7bQWP52E4/td+LD++lax/0ZnJ5r0R/qRHkeWftyWrzKApnBboYq+fH/IuH6Ez\nmzVx5tFgOKscD+T8A9Yb6E4iNMUPDofoFKd6SEkJRkREwcayLzYt5U/+5cacw/FK3yElZTYOjG2L\n47GOaKJygpWrhTtB+TDuJaytq8GyRg7O+dXHvA3c3jN1JTL5RhAet/TAZv0UXLzxFCM7cXvwCofS\njYXCpQTSF7AaswTtCplcKJyv8L0050XhKC33EiS87A7P0U20pBeNLmm8yhQnZYuWfFsxmRCZ9kfv\nMjJSl+b1nk/SmSUYW8UVsUU8IejTbk8WGAFGgBF4uwTY0mQp+b4i698Z5HLFVIsixqUnGljA6jWW\n+0opwgedTUJW9g0MDWmGTIJcAwM1ZfUVWZWPfZ4FPb1c5GrdW6RH6XTKlTKYWlrzs4G5UdtRdXoS\njs6qg+CreRjvMqyIgpkbcxBVbcfhBJkKaR+7CY121MLDZaVZZtaOu6SxoL1k2VJyREJkmdTQOubK\nVpt67uLGq474HzhY+WL4xl4wbtAXAxWmTdRreH/vyvp80oVCOkRTgz9FKu+VBOEBx3AvUwSvCUew\nIsEfnVQO5Ly/PWeSMQKMwPtEoLRLk1rUivepK++HLOVMSAkrRhQuXWX3TzE5P80kTgnjgqyQEsbF\nlTOsCmv6lDXoNfwaLw6LkUp7ubt3V9/PpaxLz/orBHo9gw6NdF2b70gJU6a8/ndJY+H1a1YvqW9W\n463NyBQ3XmUGjeF5ZgLSs3KhozhFqy7Z+31X1udjTEqYetBFFUsrmKdbYs1Fe7RmSpg6HnbHCDAC\nb5QAU8TeKE5W2bsmwO1ZMynG4oBA8hiP6UTnV2ymstSPRqZrjKbtVNaOS13yY8moCytbO/aP1cfy\nOFk/GIH3nADbrP+eP6BPRTx+L1cxTqxLStfGSWZQF1/1aaQtmcUzAowAI8AIMAL/KYFPVhETSJNx\nMSAAgUFBuE6fs4cDECqU26ZKiTgHj4mjMM7zoJpR0tI8qTzhbfy9axc2+l1BgaUrecnUsLPYtWsz\ndgfFlqaqf5eHTkgWbG//d1UVVzo3ai9+XE8W3P9VSMaGQQ44lazVkgrZiQJCF5LV9ZDXMYOrLtwz\neg6bN+/CRbJx9r4FgTSRDhT4kXyHEJvvMJ0zE/IunmZpaUjxOOg4P5YPBMWpFNIWr5LlHVxyBnS5\n399JZAuv8Oncws3Lef/Fj4dQkdYNioWLsXtGgBFgBN4YgU9WEZPpVkK9OqYIXzsCvb7YhOxqNWBG\nPoJ0xDcw0G4lOs/8EQcXj0NkvlX90jEvZ2qOvGPzMOPUsyIFKlmY4KbTTJwmW05vMuiI72I9vXQK\nztiR7a6qdeEaUtJr6N9KIcGh6bPQrnfpT+tpajFqszP8Rm0hq+lVNCUr4owxfMM2xPX5GSH5Ckox\n2VWSnoZcxAOVMpXpOTyaNhVnEt8/RUymawLLSrGYNu1PJCl0r0e7RsL8f38XUexVuviGLiW4st4b\nZwp5AChauS6MqpvyY/lqbjmVZG3xKlne+mUmtk2Zhuc1Bdg5fxTulfD7K9OtTLyTifda5GiwxffW\nxWUNMAKMwCdP4JNVxDj7SlY2dnDo24usm3dE706tUMdED5mxNxDe7Ct0bNgNSXEJ6FLGjboyg+qo\nbl4e/Qa0VjmFJR9n+jWqkllRGYa2snyjAy/l9iG47BOq1FkJDiFnMb15cccLVLK/5qU0YicmGK3B\nOIVNr9ephlN8naeXw+/DG5RYXIa6cNteC73/+KfEvKoZEs6dwGOyDaYMFWu0wVhPB+Xte/ZtgJrV\n6Ney2WA0Uoy92g5rcXODQ5Hx9KYFF0ii4OniBpm6jyyNzVStbYxEMsvr0FJ9LCvj+xaK11hJoUju\nZO2/DTriO/jDvzJGTvZG2PUItC/x97eSgvcYNC8x77+VjpVnBBgBRqAogU9YEZPDyOXcp1BQLvyk\niWjpKzIJz8USlCNDmMWfZpCQA+UYxKm42xHgMY5sEcGxdcELSiBJR0yMECkRV7FL5ye0KMFWUo7o\nCR5q2S+VKXxEaSKFvLRkJREj8tIZ6A9qDD1++UrKy1SudtNCpjQ0yEpmI5TtcPXej0/K5yCnU9zP\nTOz5bivWLR9QAiMyHEosJWS2Iv9DL1zlUtuzq4cgcp+o0T5bJnGIiornXRcpJanRbyS6LQjAE2VE\nCd/ZMScxbXEYBNnUJrWrfM655AfRgBSOPDISe5+eTeG5sZfEIyQkJN+V0itJGkRCEZ+PS9NUpqgo\nEsSTg22ubs6kAvfc1EPRZ8Kl3wvYhAbfdeCNs+aQfI+zafa2hro/SvVxAPBjRljgngslLk1L8CQq\nKn/scs/mWfg/uCCYiJoGOfmcuN8MbowniNWX7bLuh+CITl9UffGE/IcWpGWRD9IjOgPRUsXF1Cty\nKRUVFYNUJXx1CPwd5wVi/Od/lriUqKFofpSUxv+z2yEI1+kCMwNjWDespTY20/kxrsJIUfLuufXA\nWHW3ZPzvLPFR7Zs8uxTJ8TFl/F3JF5FdMAKMACNQhMAnr4ipEsmjvSXrlq8lX4tHsMpjGc4o/DWq\n5lFe5wmvwsnIEr8HX8eOcfXgcka+7ysv/g58BaPQvlZ5Pmt21DF0Mh+JE8H7UMfuexhP71Gs9e6I\nzZNQbcoOXPrrZxgZGWFzRIaiyXQcmtoDrb3P4srKjqjiFYo84XX87jIK/ReH4MtUfywmh9XCAG/M\n9fVG/yEb85cqNcv6FGsnTsGvPzrgi5EjMWv7FfyzzhFfbr6t7GL+t4CszsfQizSGXsjKz13/VZhU\n9xt0zn3Cx6kqo8qCnC/LdQ41YW5pDnNzlY+lJbptuMVniz5zGQN7NFUWyf++v2seBi06jPjovbCq\nOpPUW3mQGdTDF01u4G6a9v1kykq4/T9+3pMRjsvY7b0Kbh7bC5Yo9SvhwpZf4brpHO6cXAgLk/l4\nrFAU7pOrHbPBW5GWK8Iqayt4Bj7F88ubYE2+OgdNdcG87UXLKNtU/Y5YPxczl7rAwqgjvvM+gLPr\nhmKAYj+d5mfClU7GpVVJmNChLjlS/weuU9bArdHn5NlBqewUHQfyfMspnz0O8f5LM7Gza30s1LI0\nzTlWX+XQB9tuRWKDdS1sjkpF6JYVqN/bmWzqxmPdql14REu58udXFy5HzmPL8DowctiQP6YSw87T\n74kXtpw+jUW1u8EvRu4/NP7iCWB613x7bnfoOZoO3wKh8CJGjC0or8qJu47Z/yfSvuvLG+otnFa6\neyluH/RCvf5zgM5CbPTYgLv5y9GcU/SeaE+/OxH7p/K/V6vDlMv2ybi8+DkW2BXMyOaS8j6qpzNC\n4qKpbxZYFyXvG/f3YZ6dFabvv4XHx+Zj7K7w0onGcjECjAAjUAyB4id8iin4MSbpmLWBxxpP/PZN\nDlYvm6j237RqfwXSaEyml575iXtw56xxt5PAqP3fcElzxssbgcCwz3llSyC5i+/bjoXDxVhMsq2I\nan+tRmBn7Sf4xCHrYDc9B1fTyeG0NBwHliSjcR35TEiQux2+hgcylg3G4/X7aAoE0KnRETM9F+DA\nVk9M8ViKVrqxmE1OuF0pb5v2InCvbm2yTr9ghOjBUzHm8liMsPTAcZdeEAXcwoxw+UtHtb85Sbex\nc/NJyCpUUERLcGPbPgwcMho7duyg2aZsmHT7Dj/b11cthgvzfkLc9H+QvPYavjlZD3/a/YNVInu4\n9bGgeRZu6GUicn0kMEJ9qkQgvYtFTmcxKyEIfaVX0Ax7kctl4UerLowRhkvknL2vmg9Gtab5G5lu\ndYzzPoq/tzrjRw83tNMV5GfSo2MYV5+PwinvwcSoE7a5fIsEiTvqvDiFdhN+wxEyANuDlqr6kl9M\no857MIme7W3Pk2jh34rKjFArU1fDkhbHfeeNJpgzxhIBfm3g6TYJljGV8UvrC0idaIw5WsaPWdpd\nuAl64lK9yrjxx160df8Bsf67kZnNPU09aBoHN7Zy+X7Cc/8uSKZsAsl9rI9ogRVNNC9NZ988AHdL\nF2Q4DsTxU2vwiPZ5dXaajR3HNiJ0gS/5tjSitqQIdO2D2c03IWNaP4ga3oPnjsqK34lMXPnrLBx3\n3MCqQfXxOCcALU7ehaNTY1yjfwZ+WOXDc04KXIJOkx7gavIeNJPcxK6MC/yYzH8IiouYgMWwnWxF\nfh5bFE4qw70uWjv+gnORxzG3/s/kZaBAsQpb/z+MCP8WT/2/hpG0M7bOP4LPLOS/Vzocb7TBufry\ne67BSL8V0HfdiuF9asKga2U8pMEnkERjlvXnyNlzG9vtrSAJewGfk5llkI9lZQQYAUZAMwGmiBXi\nIskiDScyh19OKvjTrJ4p5uAaWmKci8cKlyjC6AeUwYI+Utw8dpD2h03mX1gxR3/HYZ158LY14hWi\nc5deYOA2bskyHec3b8WtDG5WJwemrYZgXPeaOL5gOax9jpKjH+DFzYu0TGSPXfSS59zR9F/1BNvu\nD6QUoO7EAKToyh9d6o2TuNPFAY04JUNqhhnrxyNyWUc0WL2Pn13QJmu5+o5wrxmHyROqYn9cT77e\nyItH0bvN9/y16o/ytXpi/jJ5Hi5eHLIalik+yFjRTzVbkeuWv+xEd/LZGLX+NDr16wdxqB/K1+WU\nOV3FCx3Qb6qLp+nqiphM1xx2NrEYamkMdB2HfTeXqC1d5tA+OwvjUg5dCafAkEV+bo+Yis3XXKoD\n3erwaZBy2ov8oIAk5Rkft8jDE7dMBciRCIEmtB+KRHzJLRY6KF7wKmXklRT+WR3OK4YizK09+m07\nxc8QCWmZEjBCrNbxA6REXqI9iw5oSHbPXn2zEJYPtqK+znQ8Jv+l2saBJK2RIt98PLUuj+ywYFqe\ns0cTwwwN46w+9Kt+BuwdDaO9TTFzxwb8Sm6huKXBTZdqwLmBfNSXE17CAJ8EGnO0h5ICNzY6Dv6e\n36fG+Q/dd8kSrnvrUUomQo6FAAM4BZDiI2piRotqfPzJ5X+QBV8bbFs8G8lPDDB0rXORGa8Qr6/R\ne/4hyt8UC0cG4Sn/O0G3GkLapWRMCD6F8YXcWBVkTce11XfQPZD7XZQH7p+hVS7XseDifn6p92VM\nCC7o/AwfxfYAnncz+v1RUaarWDfG32Ob4m+SaeaOYzyfF2F74UtqZIeTG7DoZCqeVWmLlS4dlM2w\nb0aAEWAEXptAKd9mr13/R1kwS5RIyy9D8l8qjy/+DYyjmRNaiju7NxXDZ+rQcl0qsilf+dlj+Xx5\ncaGkvP2CX2gpL06kB93KlrDi33kvYWRsTC+xKBy5lIGvF9flmcVdOYQmSxdBHB8PafJdess5orHS\nvxIpYcoHF316JxoM+ZtekMkIj8lD89pCrPRJhEeEGeKEL6BNVlNDE8gSjvD7eVbTfh5uBme3z3M4\nXtcn2ZN434zKh8ct1bgtDUBeVU6JkuCmz2HYjx8GV1danqLAzYiZ9nPCLPvG/L3yh9xxdiK2u77E\nKKeKeHEkjrRIZar8OydSCis1pYr2JEUlo/+Bf9DzSRQCfCdgmPfnSPEemN9nfQgQW0h5U6+16B1n\n/iI36irumndAC+X+JdK5CwcBt3kMneE5zwVtFS/nWXOlkFL5+1xmDWUK18Hd887RTZ7ixJZkOP4i\n3y/44MpOGieepFARN03jh8qF0fPs8t1mpJPSZmxdA6G+Xvhiw0G8pPvkDM3jwJD2MsZePwwsWMYr\nGxHBpNgsWIQqtGeq6DhLRpS0JaJov+ItmgFz/NoDXzzdA5vYa6SgOGIrsXkSEYVKudH0YMehWTU9\nkioRl32SMU4xNmpkK/ISH4FUCO4fjAWLGyDr4T6+jhWpT5Cka4qclFdwvbgXc+gfEW2h3bTtuNNs\nFZoNTcec3QsLDw9txTTGCySxOCH7DP9v70rgasze//e2KLSrEBIqS8hgEGMbTGgaf/tvLGOfsc2I\nULYsY6ksU2NpRraxG2Tsu1GWbFFSCKEVLZKWm9L9P+e9S/fe7g3DzGDO8dF9l3Oec873POc9z/uc\n530eTzupMMkyFd67jL1ohTEyjVcSxTvFxLEwJtu7NCM7PCS8HUdupG3++3hiVQumWXeQ7jwVsVdG\nIfLkbxgweCq6pRxC+XDacm27FCGBowSMNTaAX+QIcAQ4An8BAW4jJgNNLtgYykK6yM81YSoqILst\nU0vhVmFcCFxXJWO7d1eUE2fiptNk1Erdi8CIDIgK7uJFilQjczJwFhosckHixp8QUVgJbfv2RV/h\n/0C4NiENgqEJrEX10LSesaCdWORzBQOci7Fm6j4UVTCgRbEBGVGLhDqzLgfLfHcxDUA6PLrZI2md\nDzamSpB/6wxO918Hx/htWEn2Zdrayvp3X1iUpPY8+TeOYkvbADRJ34eFEar+NcrZ0ELmMxnjxo3D\n4FaGCB/si8We44Vzdm3s5MkY1EKmXVIDLOfybvz8WTv6vo5plHKQkpavlKMi6k9ygUgKkXBdJ+c6\nHJs3xx/PK5N3904YM+gblLOxUghhLFMBmqCtg3TbjfmMmuj2A8IUNlRK5OlQRMJIhoTsgajDuQn3\nFQbj+szaSR7YWo+EDcrzgvJXsG+GDgjH9Yd0X0jJmN9jBu6TRkxbGVnGUj+SVLIXJC2KNQkzcm3W\nxsmu0NPCP3qkKWXj2a+pGIGLjqI4JwrzdzhiUqscLFx0Hnpa+UCMu2F34d2hPrUhA8e8ojCtjSMJ\ng6X5LD/6NzRvcQiWNRqg67D+aCByhi0JVPFhh4FFXWCVfgzDAm5QXwkNncaoRbhlha6DL2nlGqUf\ngd/pVGLVKqTAMiDdHpBAdllMOzyIhC1Go+6ylni4bhkimX1W7EvKIZ1JTDM1w80LsUV0XS3ZdvZE\nTHAm+gWVtk9Uy1rm6YuEmyQIfkFfP0vnCctcrnINYgITmAlC4wOs9PgTc2k79dKS1Xgow3v4Z2Y4\n4vs78vTE2FmnHdqvu4vqjs74avBXVLYhqlDZms3bAOcKFHwoSfwTwyfsYFzEE0eAI8AReCsEdOdQ\n0kbhPDk6vXPnDjp06AAbMrD+mBIzRF49cQyW70+gB/I1xJ5MRKUaefAb/TOin0ThbHw2Wn3RCpWU\n7Irk/a9k74iEGT64UZiMJf2Pw+fKafyfXQUyXs5CxG+L8ftVM3hM6wfHKpVxaeUuJN89hStFZFdy\n4SiumvTE1J5OtNCpJzMyGL+KUduvIHHfCWRZ3MUvCzeg47IV+KJZY9RPnYt5l/JoUQzEnIv18NO0\nrjChAIp5z8Kx6WIoDme4YfnIptDLvo99u44i4n4N+Hh0Qi1tbaUtpcNjvVF9zAx8UaMidPOe4PyW\n3TgbZ455Pj1gptw8PUOYktbO1DQfa1r6Y+L+ZfikMjsv+W9coXSPmPZsb59+KDd5Hno6mCH33i6M\n3mWOKX3qQ/4GYFgUi0HnjTH1M6kgJylXDib71uKmlR2eh67BiL2VcXRRH8U46ORcw6zpORg253NB\nEHjx6Cr+N30W9D8bjO5Uh3qSlDOH/Yvf4RZ8FbevvUSPAW2Ru59sksbuAFLjUGxqhvgtqxB0mQz6\nj2Shdc+vMWGoM+a3bIsIMytcWv0rLD3nof5VElK1lGnj1gE1jXXVq8ajM79hxa6LKChXHodnB5JN\nVSiGNjSHVv6hZZ6N5zcrw+Du5YV2dSrg8b7N2HzyJnosnIpP7B208kEVq5foHXge5XaPxJw7zpjp\nOxI1ypUIJPLG6RZn4/zpcIhME+A7ejvhS7Zz1uVRAfRhwupjuP/HHUxdMxF2trYwOTMDIUmJ2Hf6\nJipJ4nD8ShF+mDkEtjT2Vid+ws6YS/DfZI49kdNQh+piNKYPWIKM1kMxtWsj2LY3wZwftkBH5wZm\n/XAAfX7zR2tzTXwCmNWpjj89D6LjiLbC9qe8vW/ym3ntd/z8vAHm9GmomF+SChao/2gnAi49ROS2\n4zBqYYPTx44jxXkovnWxQ96LC/DbFQYj1+/Q26kKjG3v45ebL+BUEIW5Y3fBe68vWhE+BiTQWUXP\nxaokCZ6FboLXnpdYtGwoqmp4PrxJm3lejgBH4ONFIDU1FaGhoXBwcECbNvQypyWJJJS03MOSJUtw\n8OBBzJ5N5qzNmmnL9h+9LkZWuhhGlmaKt2QGhIjcSWSTMZKxoRQW9hl8ZlFFmBvpoSArC8UUGJFt\n8GlLOZRHQnmMyd4sK0tMcRRLDJtyspj7BCNYmcmIC0QoX3qOSjsKKN8LI0sYS5URlEtzW4vIZQGU\ngnCLc7KQTw5FzZXJKzX02QkfOJ3rgqTZbZWuln2oUge5VHheZKjAhpVkfsTcqq2EX8YaNFBa1Fhf\nxZTXkmzMlFPilmHonT0el8aU8KMuaSdWxTviu/bVlLOqHAu40nZsCSYqtzWcMFyzKCA54agFDw2F\nVC6dmOCIra7HEfy5KWlb1OvWPCbMzjAnqwhGsjFm/PRErKcy5up8UJwagfWn8tFvYCuk7JyATze0\nFAzTSzboVJpFWsIcpBFvGZlZQtmHqWa+KQLbYmZlMmk8zBUFSvMdq0Wdx5nbDxaU3Uxtnqi2SHrG\n3JwYGr052C9S7yBe3wqZK1sjsMFe7OjrUIo8G39d2dxjx4Z0LJ8eOVk0f5TmGZuzaeSuo6KlZam5\nKvAl+SC0VMpfqjJ+gSPAEeAIEAIRERGYO3cuunfvjilTpmjFRP4s0pqB39CGgCEtLqUXDYkhCWFK\nRSTkz0j+7ZoBPfxflYwUefRUhDBWji2cqmIJu0r5aJFTTgaUjzYzlZLmtuqREKacDElQUb2ifJe0\nf70jsDl5rvLFVx6r1EGaNXVBqNioKZb+9BI/7LiFIwPZ1po0aeors2NbOFYHwY+byrPRby52z1sD\n63kblK6VPizBtfQ9zVcYrtLtZ833y76al3gGP69/ggbuhdA1ZIK1etI8Jmw8jcxKpiXjJyu1QVHH\nJvnsCkzc5oo+rlcwZcQWrIpcrKG+kvoF+zU1AZfd1cw30nKsjNxEUXqlNN9JaajyIuu7hmkiJaH2\n968IYewl4/DIzhiMLmh/thGmJdurUZWeKo+/8jG7qyyEsXM2Z7W1WR17lp8njgBHgCPwNgjId4je\nhgYv+x9AoDDuLNJ85wkuHd51dx2HB2LggW+xKoZsubSmZ9g4eBgcQhfDWWYrx7KKxGkwG7YIPV/h\nJFcr2b/lhhjRF+6i39pgON65WuK77G+pC6jZbQZ+7ZyAgJXhmH47FYPoC8v/TjJEuwUrMM6mEoac\nD0JrsufiiSPAEeAIfEgIlLx6f0it5m39xxHQd+yPX5jF/d+STDF42xH6yrNYK3URGcu39j+EOjVU\ndUsSQzt0aK212L90wxAt+w5Dy3+o9mIje3ztMfUfqu39q8a8iTsWBbu/fw3jLeIIcAQ4Aq+BABfE\nXgMknuWfQKAibKtqr0eiZ0pCmPb7/A5HgCPAEeAIcAQ+RAT41uSHOGq8zRwBjgBHgCPAEeAIfBQI\nvPcaseL0WBy5lEKG6+T0tPAZeUmqgk7tGwpfM2XGnMKqgDW4Q17iF3v1VMS3e5uRKU69jpBT0cgq\nZ4eBfdtIv5piAZTJ0Px9AYvFUDy55wwePNdHpwE9UFNhM1WEB+eP49z9VJSv1Rm9Wtu+DRSKso8j\nT+Lg1Uew79IL7WqU9c2nosh/5kBUlEFjcRTxsMJXfbu8Ex78p8FjfQg9dlH4Wrccm2P6tdG1dV2B\n31+kRuF4TBY5Jc6F2LIJOjb5uNzYFKfTfN93BUV12uN/7VmkgP9Gekpzes/Vh6jW0h2uTiwSwseT\nRDkZuPckD8bWVWFFX6vzxBF43xF47zViukaVUb3cPXTt2gmuIQ9gVdVC8BHE3B64uyxBmymjsWfB\nEMTmaPXC8UZjoGtujeIDMzHp2GNZuVysrWQHby0BlN+I+Cszi3EuKBAntDgnlReXkCsEm4oP4eHx\nK9LIdqok6cGkijmujZmCCxQ/8K+m5MthKgbmxpXNcN9jAk48UnbG+lepv2k5MaJCL7+3jjOFLVPr\nHEwaMQt33xEPinKSEJ34T7oKNYCNWRHWdHWD6y83YVPFQvHSYWBuirhefeG6PwWmlVTt8950JN/H\n/Lpm1WBZEIpve/yBsj4VeR/b/jZtqljdClnBM9D3+L23IfPOy74t76eErkbXUf4IPboedWws8N26\ni+QQhieOwPuNwHsviEkMK8G5Qzv0gC5mfzsALR1thEUi9+FVRDfsiVaO7ZCWkILP3tHXUhLDKqhi\nXY7iRTaV+RCqCLfLJzGxkdwJxd83oCzMkZ/XbEj0X/UWZ4jqVjR0bb+Gk1q/K9lSXETyY9/F+a9r\nLlJOHcEDcjEmTxWqNsNgPzf56T/6K6Le7PA/ozFY9D/aEK2V6cGuTVt0kMWq1JrtDW7k3zyMg/H/\nnNDLXFPYt/4CrhTg2qFLZzStXaIhEeXcR3j/pUgOHImmah9KvEGX3tusLPpAm07ML56Bwgnse9vY\nd9iwcpaN0XMUczCp2cHuO6zqjUi9De+L8ACj3adi6HJfDBvjg8fhq7HNowtWU4QRnjgC7zMC770g\nJoBHAZafUZBmkRC5WQpnVvoTCqGShifkBFKXnCtqEl0EFXXiU6FARmI8UrIK1cZCjEfx8RT7sWTR\nY5N53/p09G3KBBmKe0j3dW0boJpi+4+RYOXikJBVUq4gPQn3UqV1CZWw7UzhQPMfUc4jxMXFK0Lu\niMm56uPoixToexSFMipQKittQwo5mFRON08dRMMuNZBFnnuVdSd5t88J8SOdlcK8vFSrS5mO+nE+\nxZX0WBBJ8SNzIM7JUbSDhWA0JAGxmGL03Y5PFYKiK5d9QbH6Ll++jLtyLKn/6emp5BiTxo22vlhf\n03LKQoQ8gpFjzsvnL+M2xde8J4xbEW7tXIEVTyV4TuOcIy4p/zIrCVFUX7RsfFlbmLPN9FTm9JbC\nqlN7NLVTuc3SYzHuR17GpZh7Sn1iznTTkUq0KMokxb6MUx1bGZGCLDaGiZQ3T/DyX5o2u8Icn6Yj\nhXARFT2jOJ6J5NRWnpPRjsKlyBgFH4jESdi8bD5xWD7E5MyVdZk5Rc1g4ywIx1J6rG2sn8zRqhTn\nInKmKufB12u/vBXSX0PUbueAO7sjlfgpF799H4yhiwaV4ZcsF2e3zIebmxvGz12LiNSSOcHoSsif\n2u5ITbom1vcSnmD9SCHHxG+aGG8zPritxAd4Td5jzwRWTlxY7tXVEs0cmqNsnsr/5xBPKoZSiUJx\n1k2snjCQMPkfFmw5jSdqmeL37kKUFu0pc4Aspy/9JR5Q4nulahSHrIxaFYp78oNS85Nu5BUo7yIU\nUYzRSIEXE2n+pbEQVUIqzaOyG6V+GP+x+fCcwoolU+D5szEpijwZ8bH0fIjEQ7XnmCIDHWjiffl9\nTfNdfk/+K8rJJNMVCfz3RQuXKtRtLrzAZxW+Ch05Bf7LEfh3EPgwBDE1bIopvuBK/+UUUmgfls73\nxQmN2gNyQDrqe/iP/hImLt2x+vhp/GjbDjvj8wRqxakXMMbEBivCr2DTkDrwOvFQej2R4gOKBqBF\njXJIPRSIGasD0bX3GsXiJC+3NiIKi2yrYW1cHnSyLsL7e3/MrtsdfyS+IDq52NzWHvO0bGfmx4Sg\ne5dluHnzAGpa+iCJlt2I9Yth38mTYvglYuXSLbhPD0IWhmmlmx289v2J9f1rwsQtWNaODFxeeAM3\nfKbh8OE1qOaykMRHaUoMO0JBjaXxI9mVG1tmwrz/ehIqwvC/wfLyssxqe00ySgAAGtlJREFUP8z2\nbGfgOESDwv0ELsXs+RtLtigNKuL0+lnwXnsKN47Oo3BMPngge77d3jkTlr02IKuQwuTUrga/0GS8\nSA3HTPfGtD1gii/GLEfUzVD8H/l62hKn+e009dACtPANhZ5lBUQt6YhPtt5GSugW/BJygTpxAkHz\n52DdqQdCi1NPLIV5TT8k0lnsyp5w8A4RcEk+/gtq162NyiYm+PGPy7i2cyoqm36P8HRVIVYgIvxJ\nxmSTagh4+AJ5YUso7xTcFBagZzjqOwJ1iZbbqEnYEhWLw5Oc4RJAbRFSES4FjYFVt2WITbiKxe7d\nsY9EFc3LeTqO/dgb9WpXhnGPbmjSxAnVgiOISgY2fW2P0XviUfzwMGpWGoFwEuzPrg/CpINPEb55\nFfznLMXRhOd4cnYtatWti07rr1O5XPy5ZCS17Utco8X8ZRqFfKrthDpdvsMPA5vjk7o1ERST9Ir2\nS3uh/tfShLS+T0nilqW0E4E43MUb3S21++ZK3OmF7qfNMdt/AdxrpKBj3cqYuOUsngpC4zMcpugc\nDzW8JiXs9cP8PZvwVfV5xP8UbeqgN+rVmYY7b7BmFsbvgLnNMOKDPByY6ozP/E4JAsmreE8kfoBl\nbtUwcus5JF3dhK4u31OcdwN5t0v9FsYdQBuLyrCxtoa10n8bG2sN2pZnWN+tM660GIoFC8bC+tJs\n2Ft0I2E0Qdo2enb5+V5CeTVNNqs0Zt1YWCjRl9ZlA+vKZeGSDH/rGrAIYDylOWman6o5xTg0oTeC\nYnPI+fQjTHdqjOXR7KWyNI+ez5ILaKoUbu+cTPPhZ0RFbUc1Cwt4bF+P7m224Sm9Qh/y7ojWq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"text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Image('./res/policy_iteration.png')" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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pCWhuoDClZuoiARJIJgTsUbpmMZRMnbAzMskEboJ2017sH4vTWEMAtrSpi5Vu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5tx7HPeX7/1p5yBxiDrd4zGVMqX+ls2Hsd8/2U9QK417117FHO9jlh92SO+23sHRGpolRu3ktig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\nipe/3XyDtQ+Oz2o1YeNu+ppicJpM92h6N0Z4ZGNJYp7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"text/plain": [ "" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Image('./res/fig4_2.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 4.4 Value Iteration\n", "\n", "truncate policy evaluation\n", "\n", "=> value iteration: policy evaluation is stopped after just one sweep (one update of each state)." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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QX1XWYdsvoa/TWwrIHq4WcN9v8TYMpoB1IQWnS+hfGC0D4VS+FD1kk+F9PxaN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\nQFjQRhwd2AqyRvewZVJVnMr9R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VhQcilj2ihKyjw9PeHh4YGkpCSsX78eBQUFxsjkeTkC\nHAGOAEeAI8AR4Ai8UggwrsQ4E+NOjEMxLmVsEHUey4RkZGTAz88Pf/75J5g5s02bNqhW7eVyWGks\nGDw/R4AjwBHgCHAEOAIcAWMRePz4MSIiIpCfnw97e3sEBwejXr16xoqBTlLGJDFCtmPHDpw7d07w\n2m60dF6AI8AR4AhwBDgCHAGOwCuAgBkdcdOtWzeMGjVKIGZlabJeUqYUmJ2djcTERG7GVALCrxwB\njgBHgCPAEeAIcAQUCJibm8PNzY0cp+vxnG4AWgaRMgPk8CwcAY4AR4AjwBHgCHAEOALPgIDoQv9n\nkMeLcgQ4AhwBjgBHgCPAEeAIlAEBTsrKABovwhHgCHAEOAIcAY4AR+B5I8BJ2fNGlMvjCHAEOAIc\nAY4AR4AjUAYEOCkrA2i8CEeAI8AR4AhwBDgCHIHnjcD/AUoFJFybBiaaAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Image('./res/value_iteration.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 4.5 Asynchronouse Dynamic Programming\n", "\n", "avoiding sweeps\n", "\n", "focus the DP algorithm's update onto parts of the state set that are most relevant to the agent." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 4.6 Generalized Policy Iteration\n", "\n", "Almost all reinforcement learning methods are well described as GPI:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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8AqVQ0V3xBFIpXWdKV3mTGheNiDsP4OxZFXXrVNG/1yIulSElLhYpKWXh3uQNTGqoxODp\na/GAaI5OYChXqw7qeSlUakHJw8NDi+thV5EITzRqUidTGTKoc+w7kyUPL8YjlmiH0sRj44ga8Krb\nEN98Mxb1qpTBx+t4k5OC9b3rYui220Y0PcCPZarix5BHSArbglauFVH3rfGYNPJZeLv6YF3YI6Ow\nutuwBa3gPeeU0ft4LOrYB4fVfOBdi5BVn8K9Yg2M+OYb9KtbDa5d5+Ee+dzaNAmdpmxCQI+nUfq9\ntYg5+QOqTzmkS0d7A/O6VkLluv2I5lGoX7EMBq46o/NTn8dbnm7o1sITDUZOxr+fqY8yLb7Fda3O\nuyj9Nws8VZwq2rxstzZ9iXeW+SFcw7B1636kR+7B0v4tsS3KGT0nf4bfpmwnyaFzmvBdmKAajsGt\nnfDLswNQZm0Y2IVA/H7gMS4vqY3+G//ORr+re2PAzUgUUQh3b09dOPUptBjyM7bGpOPQ1q04x2Ix\n79BkrAx9hNp9ZyPUvx+mBsWDbR0GD1c31CtdSsQ7N3cAvvD8EQ9YiIHmNUPaYsXNJJoGckV5Gg55\nft4VsAOB2MseYjHm4ZezuuYvG4EO/MIs8FR3qmLjoiRi//RN6PXr6/CKi6ImKAoPSjfG8t7e+Ot2\nAip0+gAfXhiD3VEaQVfw8sloOm8o6sMDg+9FYNdbtfEg6iauBB/DgWOn0LR8ZpDwSNkHKoyaHo/W\niImJxaseiYgOD8P5A7twjKVCpckQEykknTK7eJyccAEzp/eFt95DVeNlBE2rh7mBBF6NBnFOkzGm\naz29bwV07P9q5iSKyJMRp/KmuKKTJ5o6N8o7kBV83bydsa1/Wwzp3VuknkA6RM2ab6NnGSLd5Wl8\nPO0pvLDpb7DRZTBn5h18H9OCwmlxe+8CtOj/H8CnC97waYF2lVrCOSU7gTpZYfw+BSkPdXPF0MZh\n2+ReGP7LGTT17YUOLaphM9LQ1qANGcfLuGddXkbbunrppX/N8/k7hYO8FMp1Lp9PChlpOfKdSeBx\nUVETUaoLXFQmBbd4ecdR0+DfLmOU+27wKSTULSPyef6DWcDT/8Pxpytgs+9S/FqZejykVwzuH4jA\nyCT0qqFTVBMPTMD04zoJZUzgE5Ae5G4kkVIisJqapZ8o0K2t32D41SHU/Jw2SBHfAxsQZiRt3I0T\nE/cuUB3ai72XYvFSO0X2aHHvTir+1Z6XIRlOsdkiFckX+TZbtZ2rYaBbb1RxUhhhy3KWQ5eRH2B2\n+y9x6r6u4hPC1qN6m3a4oNbRoWrwChY3W4KOPSbh2+9ez9RrcdN/349vHsKHL/2Ahjk0W3XbvQ2s\nOCiUYK6EH10wBeep2eOSQpNIHYSaHtBBS4tr22big5B4lDHIjUQEh9/NwhCiefFr8O/wE/5J0Umw\nuJOr0OOXKEx6TRmlz0EEZkmlKDy6tHdtAab/4wTze+68VOVpfssL1Zwqi2d7/avRdyb+nNAX7apk\nNDDf7b+OfjUUaVEBvaZ/jE/eTMZ77fU6mUdLLA54Du1rKnE6wz9gDDaPeR4BvvHwo8Ion4JHu/ew\nqG5zVFN9IYpY328CBje/LXShBu/NxMzVrVBeNUhX/N7j8b1fG0x4biReSVqDKj5tsb1HM6g2LMO9\nKRlpNhmxFFtuvofGpTO+zQVHbqO7kIpAesXM8oq5l0PmN/bitnn5qmh2VN/AmxfR1qHT1HGITdHC\nzauybgzHBAL4GI46mcZUvHRjNtoU+uLd3Q1ywzgJNR98oZ6QB/lndSkUj/RcGpvR+fFnd304dVwc\nWGkaVzIaJ1Li6/LXorSHF3LwVoIV2auKpWtpbt25yBZAEm4/DrggfQfg9BpgJ2XYHkV/9OgRrl+/\njvj4ePB7/ktISDDca0jMVKxYEd7e3oarcl+9enWD1LEH7Y6UpwtYPCk65wg8bR2JLovQ8uTJE4SF\nhSE0NFT8Ll68KK63bt3Kln7ZsmVRvnx58XNxcUFsbCwePnxIUw+ZlVtnZ2c0a9YMzz33HNq2bQtf\nX180atQIfIlmSXMqpllFOg8V3Jl6HUV8KSpX3y5cuIA9e/aI37Fjx5CamirqtF69eqLSmzdvDv5r\n3LgxvLy8BFg8+DwWASYnl5ycLEDEgcR/XGKdPXsWp0+fRkhICOlCGtSuXRsvv/wy3nnnHXTr1g1O\nThmKck5pFpd3evBQcZx86Ve7yJWLA+bUqVPYtGmT+EVERKBcuXJCIvAK5dKhadOmpOx6WLxsjx8/\nxtGjR7F3717s2rULly5dElLok08+wYcffijAafFMHSlBLnnEL+0873gVGZeWlsYIMIyaD95bZKSL\nsFGjRrEDBw4waq5sXo709HR24sQJNmDAAFaqVClWunRpNmzYMEZSyua02CpDZIDniq3yLFQ+1Ayx\nFStWMGp2BGiomWD05TMOJkdxMTExbObMmaxOnTqCxhdeeIFt376dcYAVJ5cBnvQ4hy4XKa5s3rx5\nrFatWoyUU/b2228z0jtypPnMyv+wESQBBgwYw7ZdeyTCpEceY5MH9GFv0LvdEUk5xrP0S61WK0DT\ntWtXAaIuXbrkSrOl87ZFejrwaHfYIq8C53Hw4EEhaUipZUOHDmWXL1/OJ61ktsKnPPts/12jcHFs\nod9EFpxsn6+fdCJGiroA0fvvv89I8TairWjeEnjWMJae4JDU379/nw0ePFgwvFOnTowUUpPpDAvo\nyeB/3BD+2tpv2Pyz8Ybnwt1oGC3VYBqRiIYlJCSblByXRCtXrmQ1a9YUetEXX3zBqAdnUlxHDASW\nbvx1OgaJXDfgeg0N1DEanBMMN1dfuLzkHYaJe3QFij3Ehk7MWbpqs1S8ltZ86NwttmDaepZTA3dp\n7Rw2feIgNjbwFmMxWxicxjFzuEi9NDZjxgxGPUBGwwWirOaWzxFqCo5AhDENkZGRTNERuNThymdB\nXFLIIgbnuVT5GrbV73MWlENzdWf/j0KqvbnkL5FFwtnV4rmb/xZ2LSKC/TmxHfMNOK6XMHoqki+y\nRWv/YicC+rHhHDyMN4fzzQKPUh5eNt4M897iq6++ymiYQfEqEleHAs++fftYlSpVhFjnXe7COM3l\n5QwtZrBT+xeySTtv55jUlSNB7AH5hCwZyXx8fFj9AYsECG4f2cbWbAxky/yqMvguE2EyJ3CdjVT1\n0gMyii0lsOkklIbRoKHul6xr1DLHy/lp9+7domdG41Ns0aJFDtVzzJli3VuHAA/XBb777jvRi+re\nvTvjuk6hHUmIt+HM0Ht1jk1P1vSjQy4zXb9M8VGz1RMX5yxREo6zLi3mComUcOS/LCDoAXsScZB9\n7efHevfuT728Puz9sfPYlRyknZJ61ivNrYlxKi6FuH539erVrEEc7tnu4Ll37x7jYzU0pM++//57\ny311Ajw+bGesFXpXmuvsG9/ebPHapWyc/x8CnHGRMSwl9iJbv/8M2xywJgsQTa/3w4cPs4YNG4pB\nxp9//tmhx4bsCp7g4GDRRFWrVo3x7rilXUKsab2gguWrYbGGHpcuhZCAr1kg6WzLBnzHwguWqIiV\nlJTExowZo9PH3nyT0SRtIVKzXlS7gWfHjh2MZrJZu3btWHR0tPVKaLOUk9nJnUeExLmyfz8LN6PJ\nyo1EPirNe5s08cpOnjyZWzC7vbcLeHg3nDdTfJSYf2XS5c6BO3fusI4dOzJXV1f2yy+/5B7QDj42\nB8/8+fOFOP70008tp9/YgXG2zJJP9I4ePVrwjXcsHGVMyKbg4d1Q3puYNGmSwzDAliAobF6zZ88W\n/ONAcoSJYJuBh/ci+NwUH5KXruAcWLZsmWjy+QCqvQFkE/DQsk9WuXJl0SXng2jSFY4DGzZsEAD6\n97//XbiEChnb6uDhCjFfsEXLQNmDB3w8VzpLcGDJkiWiCfvhhx8skVyB0rA6eGg5JitTpgw7f75o\nrVQsEDdtHGnKlCkCQGvW0MoIOzirgmfLFppxJgXZXoWzAz9tmiXvdX300UdCl+TzY7Z2VgMP7Yli\nNWrUoLme3rJnZcVa5Tpkr169xPIO40VyfK7M2s5q4BkxYgTz9PRkfJBLOutygLZKM9pLxpo0acJo\nA6NYdP/UU08xvrzFms4q4OHdct5ccaVOOttwgM/CV6hQgdFWI7E6gfOfr/m2prP4QQd8h2WLFi1A\nk52gyc4SswGOKsuujvQfDBw4EOvWrRN08B2srVu3xpkz+rMQrUGdpZH59ddfMzc3N0bbfC2dtEwv\nFw4kJiayt956S0h7wkima3h4Yeb3c8lQ/9qi+2L59lt/f39QF1Js57UG2GWa2TlAug1oXZTwMN7q\nzPfVr1+/PnsEC72xWLPFDxWg5RXg4pOLSpoFthCJMhlTOEDCAL///jtoHRCioqK4LiuikRIN6oWZ\nkoT5YfIWTKb7Tp48WSwbkIOBpvPMGiHpYAaxM4MOnzI0X9QiWCMrOkTOAo4vVCIRKZaRWiA5mYQF\nOEDSh/Xv318AiK9isIYrdLPFjyDhWj0/24YfaZLbUSXmy0QZwxIc4MfB0FpoLF++3OJnCBUaPLQ4\nSSjJ586dk0qyJWrbCmmQ1BGpWvoAqkKDh/ZagdaVgDatWaHYMklH5kChwePIhZO0WZcDFh3nsS6p\nMnVH44AEj6PVSBGiJ+dTHItQASSpOXBAG431c5fjbvnKKO/mJgI8SbiPKLdWGD+im5GJBS3OrFuC\n/Q9cUZVsgKlSE3AzxgMDvvoQ9d3zP91VgicH3hf9V1owdzfc3rkUYwPpmGRy7cd+h+EvlstSNC1c\nycLC6TGjhDUf+HyAmSPfQSmX/IHDE5IKcxZ2FqvHsDVQPTOQavkNBD0JRLscQaHFpoG10K/MHDxY\nOtBgk8MUPkjJYwqXimqYmk1AJ4WQVCH8kA0OMuaTzd3f9TX6rX0DoU8GmAUcnpBJ4Em/fx1/hUbk\nYBUvgxaXCvXRoXVd0xLMiCbvrMkBboiFH9DOtuPE1QQ83zrDZpnIluySfdDjB3x7JArNcpRK+RCX\n35xHbNB/DRNslFTu904zcjgEKb/Upb91ORDHyKSmqLNZZ7Nue9Kw/WNrMQz4LfPJZ2YQlHdX/f5h\ndH3BD7XGLsLpiGvY2Jtsb/mtRkRkKKbCDZ1WHsK1a5cRRut4rt4eZbbYywfX0rvQHHAhO1465Xfn\n6euZUksO/i9emu+FfQveKXhrkRfQQv07MIzdoUemWhxPS9Z8KYruqNopFjtdNC8qpF9hOHB5ie7M\nQ9+AU0bJXGdfoRR7f2PhDm7Pc0kGPxnUsDk4cg+Jv+bsaAKdtKU/sm3NtcdGBMlbR+SAAh74/mxQ\nK0L4McN0LF7Whsxc+vNstpy5NRi9sAvbvgxkZBzPeHAxqCWzrs+iWkWd8ddM8lA+OBQH6nTooKdH\nZ/0HN7fCZ8yfWBNYeDUjT/BkcOE2fvs4EM2GthN6jTYiFPsQijM3iomZ3oyCFrs7RrqpcIfO4FZK\nHFb2+hB0uDn611Hsrxa8yCaBR310I75DKgZ0bCxy0mh0KE7Obmm64JTImFbhQJlGzfGhaD/U2Ltg\nEoZeHISwL9pbJq/827koNte3PNkh/YCd5PoOuaSQZbouu99vJh1Tm38eMoTVOED6KYHHMMQyP1uX\nveA55y951JFYfTABGNMXrYW+A5R+5l86NF9NhBQ+lvmIrZaKex283LuCSN574g6Maq0YBS98jibN\nbcXdp60cXjVQUdGeKd9EepfkXhlVPOQWm8JXgzVTSMG6Pk+h/7b2OPooEB31AsASOZoEHktkJNOw\nHwcehR3DOeodd2lS0aJESPBYlJ0lK7H8dZ6SxQ9ZWjM4IMFjBrNk0MwckODJzA/5ZAYHJHjMYFZR\nDMptv1vLSfBYi7MOkC7Z+EDVqlVB5sStQk2hwENG6EEHV1qFMJlo4Thw48YNcdzKgAEDQIdtFS6x\nXGIXCjz8CDk6nBvTpk0DWevLJQv52tYc4GckDRkyBGRyE3TIt/WyL/jMBmPcvCNRJn78JE5uI1Q6\n+3OAH2RJhxqwI0eOWJWYPBeDmZKzYpGOn8/DgfT6668XCfuYppStKIbhZzHzg51sYZei0OAJCgoy\nSB8OHm7ZhgPp888/Z/wgb+lsxwFuBadDhw7iPGZ+Qpi1XaHBw4+wr1WLVuHnsLNCmkeydvVlTn/h\nwoWiuTp+/HhmDys9FRo8nK6JEycKiWMMIDoVVZoNsFKl5ZQsN0vF7bKPGjUqJ2+rvLMIeC5cuGCQ\nPLzJ4ucwW+sQRatwwYaJXiEl9rZhV0HuGafFXGSHQh7mHsDIh0t/rmvyFsAWNieUrC0CHk58zZo1\nhQGxU6dOsVatWrEGDRo4rElnpfCWuMYGrWbdaFfJ/JD89bt7O2ewASvPMaaJYr9N+4LRGAwbPnY+\nu6K3hHyX0hpIhl7eH7uIXU9OYFvHDmIbIp/kS+b//vc/8fFyi9G2dBYBDyd469at7P79+4J2GqAS\nJp27d+/OSoJlv1D/fmx8UD4bWRJOs4G+MzO2uySfJ9A5sZ2xuqW9gnGxxwlM64V5bfFMcXr5zmV3\nxUPO/7gBPG5F8f333885gBXfWgw8WWncT7bFec9r2LBhjqP7JMexOzG0F00Tx65di2QJmmQS87xX\nkkxSMqN3oo65ya5G3MtUpJzepcTGsHsUPyRgSL7gidz4FW2yMz7KX9lEqYAuma0f+zkLymKP/ejE\nvmx5RGomWowfBg0axCpWrMjoBHjj1za5L9QIMynIubquXbti1apV4gjXqVOn5hpO8WBRhzFE5SqO\ne+WndvJfK5UPVoY9UoIYrmnqFMM9v0lTq/XPt/HT9A3gB0Jkderg5XjjoyU4+Yc/nUkzCCsWLsSR\nPb+ik2cZ9P/cDxVpD5p/8EOcWDAKQ1YGI/L4HDw/aQulpc3hXQr2zR6Cgf/djUu7F9I+qJXwcnVB\n+v3TGNWiDFTO3+I2ERA0uydULWfiOg2+372eiNfa1spElpu3M+Ie66iNO7oIF179Au2yHKpUv/Uz\nuH1LKV+m6Fi9erX4BQQEiNHkzL42eLI2RH/88UfRHnOz2Lk7Nft9WgC7oklgO/zXsMiYU+z/juQs\nrO/s16X35pK/RHIJZ1eL9Lv5b2HXIiLYnxPbMd+A4xk7XfWZBk/rzr4JSaOnv1lLVRfDFx7m34N9\neoS+/tgoFnP/GGtBu0SCE0jP0Nxio+DKdt86mu3dn/zwB+e5hublBKVtaLYuL2fwXSbyv7r2J7ZP\nNEvJbKvfCLZPv/tE4UMY37npTzoQu8LG+i03pKf482vS2UVsxNrs24JPnz4tOibcrpm9nNGSdusg\nlcZ6EB0dDepCihless6SQ0bl8OY3o4G4wwhwfxqdbofgHurnEA547PoiqKoRtXQUmWb6GIk+H4Ng\nBs3R7Th8+gJSHkbgYNBlPBrdIdPBC5WeKo/pKzbi3Tce4HyXfmio/8I1KIeyfP+bV3WUC96KC3R7\n9fRRxCQm4uWdR9DkbnC2d7VuroXPjEHw1FNYzs3o4JsmvTDrUG1sDGsF9Z0mGOql22GbeC+Jcsrs\nXDw94JoShSML/oLv1GmG9DKF0jDcUydlesWNlLz55pto06YNFixYkMnPpg+2QC0f+eQ9CzJmwjZu\n3JhrluG0KX9cUCLT0Nc2NvB6ruEUj+iQy1m+VjVbPXFxjgrmtZVfsv8EHqb5njMZSislFEbK7pSz\n+j33pKC+pBrOFM0kIWgXu3DrZLZ3Z44tzCR59o9tR1ItY99+ZKDOcOxyo738ZwP+zQIjueTLcJqQ\nX4XUfHHtxYyXWe5iSdJ+yyWj3pGBGNapUydhgpObCLCns5rCnLVQvNAcQGTSh/3yyy9Zven5Fhup\n6sWCNOkEnrmswsSDOYQp+CuusAKdWR9fX1FhH688zR4G/cbo5Cz2ot937Ji+S3xn54+sU+9vCeQL\n2Kf+e0Xzk/2dhh3x/5D18/+VbV75H9aSTufDgHksXBm/oZ7UQOolZVQ5YzdXjmKjd0ZnKoCGN3FO\nU3MEuxIwiBRmZRiA91y5glyqVClGy2GUIHa72gw8vIRcAikTqTNmzMjWC0tOVrivYRn3FuBN8mnW\n1WmcUWVGsa9U/Vlwlp6NISeNmsXExBoexU0O77QJsexhAqdZR682lnppBML0iB1selbJGfkHa9h7\nWZYdtry3p5Q5c3a6PK+wT3zGC0lIC7pY3759RQ82L+mdQypWe2VT8PBS8AHF6dOni6//vffeY9y4\nqvWdmhTpweyrJVvZ2ZCzbMeSf7NXJ27JUpGFpyKJJCYdHskmUNNpkEJGyV5eMoqaoJw7AkbBDLch\nASPZLDoDiRudfeWVV8Rs+R9//GHwt/eNzcGjFJgMiwlzzo0bN2a2stGljolk4bRk4QaN9VjLqSMj\n2L3cJBpTs90r/zSSgLlTkR55jC0M/JvxOavmzZsL47OHDh3KPYIdfOwGHl7Wf/75h5G5JdHlJLM+\n2ZoxO/DDobLkYCFDv6x+/frM2Ga6oxBpV/BwJtBSVjZ27FjRjPXo0UN8aY7CHHvRwXXD77//XnQu\nXnrpJdK/YuxFSp752h08CnU7d+5k3JC8h4eHsMfOGVgSHZ8f5HOCfBnpt99+K5b6OiofHAY8nEFc\nMeQjpjTQxXypS21Ns86OWCF8ERdfVsEnOvfs2eOIJGaiyaHAo1B24MAB0c6XKVOGzZ8/36G/PoXm\nwly5XfQvv/xSLN/lA4Bk6rowydksrkOCh5eeM5Svg+bim4bhGQdUcXTbt29ntWvXZqVLl2Z89WVR\nWsLisOBRgMItJ/NF3bwpe+2119jFi7kP5StxisL1zp077O233xbl6tmzJ+NroIqac3jwcIbygcXN\nmzezRo0aiR7I8OHDmb3ndQpa0XxQdPbs2aJjUL16dTHXx8tXFF2RAI/CWD4/xncIcIWS60NTpkxh\ncXFxirdDX3kvitPr5eUlJog/++yzIr81qUiBR0EH75V9/fXXQk/gIProo48YmeZWvB3qykeI+TgW\np7Ns2bKMb0fiTVZxcEUSPArj+eDZrFmzWJ06dYTu0L59e/brr7/SpGrGklIlrC2vdKwJ27RpE3v3\n3XeFlPH29mZkf549fGjabghb0lqYvIo0eJSC8z3zvNfCB9e4Yl2pUiU2btw4sWzBVr2Xa9euscWL\nF7M+ffoIKcPp4L1EWiIqeo4KrcXpWuwOtKRKxNKlS7Fy5UrQl47y5cuDr6em8RO0bdsWLVu2BDUf\nVLcFc6R34cqVKwgNDTX8aI8abt++DVrshhdffBHUKwT1pMQJIgXLpWjEKnbgUdhO0xs4e/Ys9u7d\nK360nwzUnIEWo4H2lIGUblBzIn60+8BwT4cEgDbOgfQq8TO+5wDhwFGOk6lbty5oxhvNmjUToOnc\nuTNo16ZCQrG/FlvwZK05XuE0M40zZ87g0qVLiI2NFZKJSyf+U555OC6ZPD09hdTikkv50Qy3AAoH\nTNOmTUWYrPmUpOcSAx5TKpX0EXCJRfvNTAle4sNI8JR4CBScAVbb9GcaSVocnT4SS0Ozb+wzLb4M\nZU8O2Bk8KXiYzFCujDR+kjsIErGiz5vYr+ajEI7l7Ayecugz4ye8W6eM4Ao/IJOboIwOD0NIWDjI\nUJNwD27yrnEYYowZmKKmkHyrcTSuULf52s3MVge1wl+LB5TWDbXesFNKPK6HhYq0Yw3nb2qhzrJ9\nmWeqjoszbFtOi9PlERIeKfIURNE/s+gVkRJxi/LnZcnIn0pMtCYQPbwsfAjgWpRRWbRxuLntEZJi\n46iXp+TsIFf7Dlols3U+FfR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"text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Image('./res/gpi.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 4.7 Efficiency of Dynamic Programming\n", "\n", "DP: polynomial in the number of states and actions." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "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": "3.6.3" } }, "nbformat": 4, "nbformat_minor": 2 }