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| {
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 2.1 基于搜索的问题求解"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"现实世界中许多问题都可以通过搜索的方法来求解,例如设计最佳出行路线或是制订合理的课程表。当给定一个待求解问题后,搜索算法会按照事先设定的逻辑来自动寻找符合求解问题的答案,因此一般可将搜索算法称为问题求解智能体。"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": []
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 2.1.1 搜索算法基本概念"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"我们把书中的公交换乘的问题,转为无向图中的的路径寻找问题。\n",
"\n",
"首先,我们画出如下的无向图。该无向图中有 A,B,C,D,E,F,G 七个节点,其中 A 是起点, G 是目标点。\n",
"\n",
"点与点之间的连线称为边,边可以有权重,可以代表点与点之间的距离或者从一个点转移到另一个点需要花费的代价。\n",
"\n",
"下面我们先创建一个图。"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"# 首先导入必要的包\n",
"from search import SearchGraph\n",
"import collections\n",
"import matplotlib.pyplot as plt\n",
"import collections\n",
"from IPython import display\n",
"import networkx as nx\n",
"import numpy as np\n",
"import time"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 432x576 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# 定义节点列表\n",
"node_list = ['A', 'B', 'C', 'D', 'E', 'F', 'G']\n",
"\n",
"# 定义边及权重列表\n",
"weighted_edges_list = [('A', 'B', 8), ('A', 'C', 20),\n",
" ('B', 'F', 40), ('B', 'E', 30),('B', 'D', 20),\n",
" ('C', 'D', 10), \n",
" ('D', 'G', 10), ('D', 'E', 10),\n",
" ('E', 'F', 30), \n",
" ('F', 'G', 30)]\n",
"# 定义绘图中各个节点的坐标\n",
"nodes_pos = {\"A\": (1, 1), \"B\": (3, 3), \"C\": (5, 0), \"D\": (9, 2),\n",
" \"E\": (7, 4), \"F\": (6,6),\"G\": (11,5)}\n",
"\n",
"# 绘制无向图\n",
"g = SearchGraph(node_list, weighted_edges_list, 'A', 'G', max_depth=3, nodes_pos = nodes_pos)\n",
"g.show_graph()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"观察上图,可以看到从起点 A 到目标点 G 距离最短的路径是 A -> B -> D -> G,其距离是 38,我们可以设计一个计算机程序,按照既定的规则,从起点 A 出发,不断尝试从一个节点移动到下一个节点,直到抵达目标点 G。\n",
"\n",
"在详细描述搜索算法之前,先看看下面四个重要的概念。\n",
"\n",
"+ **状态**。状态可以认为是搜索算法在某一时刻所处的位置,相应地,搜索算法在开始和结束时所处的位置成为**初始状态**和**终止状态**。\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"+ **测试目标**。用于判断当前状态是不是目标状态。例如在此问题中目标点是 G,因此目标测试只需要判断当前状态是否为 G 即可。当然,即使到达了目标状态,找到路径也未必是代价最小的。"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"+ **动作**。动作指的是搜索算法从一个状态转变到另外一个状态所采取的行为。一般假设在每个状态下所能够采取的行为数量都是有限的。例如:在起点 A,只有 B 和 C 两个节点与之相连,所以只有转移到 B 或者转移到 C 这两种选择。一般情况从一个状态到另外一个状态的过程叫做**状态转移**。"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"下图中,我们在初始状态采取了转移到 B 这个动作。"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x576 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"g.show_graph(this_path=\"AB\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"+ **路径**。完成一系列连续的状态转移所得到的状态序列,就构成了从起点到终点的路径,如从状态 A 到状态 B,接着到状态 D,最后到状态 G,就形成了A -> B -> D -> G 这样的一条路径。很显然,路径的总代价,等于路径上各个节点之间代价的总和。在路径搜索问题中,任何一条路径的代价都不会是负数。\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x576 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"g.show_graph(this_path=\"ABDG\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 2.1.2 搜索算法"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"搜索算法就是不断从某一状态转移到下一状态,直至到达终止状态为止。\n",
"\n",
"\n",
"在搜索算法中,从当前状态出发寻找后续节点,一般会面临多种选择。比如上例中,从 A 出发,可以选择 B 或者 C;从 B 出发,可以选择 A、D、E 或者 F;从 C 出发,可以选择 A 或 D,可见状态之间这种转移构成的如下图的分层树状结构,该结构称为**搜索树**。"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1080x324 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"g.show_search_tree()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"在搜索树中,每个结点可用一个状态来标记,表示从根节点出发,经过怎样的路径到达该节点,两个节点之间的连线表示这两个节点之间存在状态转移。搜索树状态中,由于每个结点这种状态来标记,因此可能存在两个拥有相同标记的节点,但其含义不同。\n",
"\n",
"*注意:路径搜索不能出现回路。*\n",
"\n",
"搜索算法从初始节点出发,不断选择后续节点,完成了搜索树的构造。一开始,搜索树中只有根节点,在每一步中搜索算法将选择与搜索树中某个节点相邻的一个后续节点加入搜索树,这个操作叫做**扩展一个节点**。\n",
"\n",
"能够扩展的节点需满足条件:\n",
"+ 该节点不能已经在搜索树中,即该节点不能已经被扩展过;\n",
"+ 该节点能够从搜索树中某个节点出花通过执行一个动作抵达,被扩展节点和搜索树节点的某个节点是相邻的。 \n",
"\n",
"这些能够被扩展的节点构成的集合称为**未访问节点集合**。\n",
"\n",
"于是,搜索算法的每一步操作可以做如下描述: \n",
"每次选择未访问节点集合中的一个节点加入当前搜索树,检查这个节点所有后续相邻节点,将满足条件的节点加入未访问节点集合中,重复执行上述操作,直至被扩展的节点对应一条从初始节点到终止结点的路径。"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 2.1.3 深度优先搜索和广度优先搜索"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<img src=\"http://imgbed.momodel.cn//20200110151426.png\" width=600>"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**深度优先搜索**总是沿着某个分支进行搜索、直至不能再深入为止,即优先扩展搜索树当前未访问节点集合中最深的节点。深度优先搜索算法在搜索过程中总是倾向于沿着一条分支前进,直到该分支上所有的节点都被访问完,再返回上一层进行另一轮深度优先搜索。"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1080x324 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"g.animation_search_tree('dfs')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**广度优先搜索**总是优先扩展为访问节点集合中最浅的节点,在执行中倾向于优先把同一层的所有可能节点访问完后再考虑进行更深的探索。"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1080x324 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"g.animation_search_tree('bfs')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"需要强调的是,对于一个搜索问题,只要存在答案(即从初始节点到终止节点存在满足条件的一条路径),那么排除了回路的深度优先搜索和广度优先搜索均能找到一个答案,但是这个找到的答案不一定是最优的,例如距离最短。"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 2.1.4 启发式搜索"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"在搜索过程中利用问题的定义以外**辅助信息**的搜索算法称为**启发式搜索算法**,或者叫**有信息的搜索算法**。"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"在路径搜索问题中,可引入任意一个节点与目标节点之间的直线距离,作为辅助信息,来提升搜索算法的效率。根据这一想法,可以设计一个直观的最短路径搜索算法:算法从初始节点开始,每一步都将未访问节点集合中离目标节点直线距离最近的节点加入搜索树,直至到达目标站点,这个算法称为**贪婪最佳优先搜索**。\n",
"\n",
"**辅助信息:各个节点到目标节点G的直线距离**\n",
"\n",
"|站点|A|B|C|D|E|F|G|\n",
"|--|--|--|--|--|--|--|--|\n",
"|距离|30|20|19|10|5|25|0|\n",
"\n",
"贪婪最佳优先算法搜索过程如下:"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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t3+roe1wA3FzH/opIE2LGBmacZMazhFEArwCnAR8Qknls4s4Qd25x59MUE5nUW0GBezQUcltCIqqVVNYQTVRZtN67QL+0Da1MhftS3J/C/XhCYLcv8FdgJ0Jv4XeYTcHs/zDbgToKmoqISHJMpWTiM7M9gDOAI4A57v7L6P0/AnsDe0eFwb8D/kHovXomWv0hdz/DzO4HzibcUPwD+BMhO9hXhMDuK+AHQhbJMkKw1p7Q87cJcIm7V9R3M7Pjo3Y2Yf26b1WNBz5399Nq+G7/AT5w9/OjoGgbd//MzO4hJAHoA/zC3b9O4t+rKyEoPMbd/5ngOrHvc4K7PxW99xZQ7O4HRT/fTrgR6+HuJWa2N2Ee49Hu/q9E909Emh4ztqIy++RQwkOqRYRET+OAf7uvV5syqxQW2kDCA68jCOf1dsTPellKCOBaE2po3lFQ4NMbaj+TFq4tO1L5/7Nr9MnXVNaze4caHmyKiEhilM2yZouAUcC3QNXU/P8HdHT32JyHd4CV7v6sme1J6FW6Kfrsweiz2FPTC8zsL4RJ9rsTbj42IRS9rv608qmqgVykNWHC/rI4n1WIasVVz/pYVcvY51HP22fR+19G7d+TTCBXZd+gMplJItoT5lo8V+W9SazbE/oMIftmR0LQW0go5VA9EYqINHFR+YDdqCx4vW300f8IvfHjgOnu65aCyWZRQHZCYaF1ISQZGUiYx9eTcJ5bDSwknPumA1MKCrymMi/ZI1xbPopeN2LWk/CwcCThIecFwHLMXqay7EFNGY9FRKQG6pmrhZlt5+6fNMB2jBBc5RMCmbU1DcMUEUmzPEKvyWGEVPStCL3stwCvQeMMR4wxoz1h6F6sfMBGwFpC1t5xhPIByT58ksZk1h7Yj8r/0+6E/9NCov9TsqM+aEdC8q+hhMB6FiHr6WuEXlIRkUanYE5EpPlpQxgu/ivCDXV+9F7V4X3FhDnBZzf0zpnRg8penH2jfVsOxHpxJrmT/b1TUjezfMJIldhwzFhv60dUDsecQSgD1JB+QegJbc26c8lXRO9NBv5OmNawqIH3TUSkgoI5EZHmYQPgYEJCpmGEDLMdqT1Z0krgeMINdcaYYYQSKLEb+lhpkbmE7IjjgHfc6539UbKd2daEIuUjCXVQ8wh1Q2PzIN/APdPzIFsAM4DtqUwWFk8R4QHIHML87xcIvXe6sRKRBqNgTkSk6epDGD55MiFYWk0I4JLxFbA1ab5BNaMlsBeVAdwW0UfvU9kj83FjZZ2ULGDWDRhBOD5GAB0IDxheJRwfE3D/PgNbPgJ4ItpeolYThooWEwrR/5Mwp14PIEQkoxTMiYg0HQbsQqgdeTywcfR+23q0uZKQlKPetS/N6AIcSAgwRwCdgVXA64Sb8/HufFff7UgTZNaakBgmFvz3JjxgmExl8D+b9NzUTCC12qoxZYSgrgVhft1ThOReSvAiImmnYE5EJPdtBlxCGELZijCnJ156+1SsAm4A/pjKymb0oXLY3DDCDe4PVA6be92d4ppbEKkmJA0bQGVg98voky+oDOzewz2VYvCtgWUkl5m5LrF5du8DfyAEdiIiaaFgTkQktx0LPEw9ArjS0lJatmyJu9dU0/kTwvyhOpmRR+jJi91o71iljdiN9vvuSRfKFonPbFMqE+bsTWVG1gmE4+0V3Fck2Nr+hHI5nepa8P3336dDhw5st912yeztyqj9s6i9XqyISELyGnsHREQkZTsBjxHm9iQVyH300UccffTR7LDDDlx88cV88cUXNQVyAFsSamLGZUZbMw4x46/AAmAqcAWhbuXFwNbubO/Ole5MViAnaeU+D/f7cR8BbAgcTcgyeTAhcPoRs0mY/TYK/GpzDLXMlfv888+ZNm0a11xzDaeddhqffBKqF5WVla3zZy3aER7AXFj3FxMRqZt65kREctd4wtyzOh/MrV27lhYtWgCwZs0aDj30UABGjBjBnXfeyUYbbcTYsWPZdNO497pFhKDswdgbZmxMuFkeSejNaEsYTjaJqAi0Oz+l/tVE6smsBTCYyiLzW0efzKSyl3hmlXl2RhgC3K2mJu+8804uvfRSysvLGTJkCK+88grt2oXKBdOmTeO+++7jf//7H0cffTTnn38+7du3r6mpYkLvX84UuBeR7KSeORGR3LUVtZzHV6xYwe23387QoUM55ZRTeO+99ygvL+e1115j8uTJjB49mgsvvJBnnnmGkpISrr76ataujTvNqIM7J5mxnRlXmPEeIV38w4T5So8ABwDd3TnWnScVyEmjc1+L+zu4X4r7NoQadpcThjpeQyg/8C1mf8bsQObPH0gYrlyjiy66iLFjx9KvXz8GDBhQEch99tlnHHroocycOZN9992Xe+65h6effrq2plqT3nl5ItJMKZgTEcldtdXA4v777+fee+9lyJAhfPXVVxx77LG89957FBUV0a1bN3bYYQcABg0axLnnnstzzz3H5MmT47a1Zg17tm/PLEIilFbAdcDOwObunOfOq+6aAyRZzH027n/CfSgh0+upwDTgFGAijz32H0pL29W8eujAW7ZsGXl5eQwZMgQID01uueUWunTpwrPPPsstt9zCIYccwo033ljXHukeTETqTScSEZHcNbOmD5YsWcKLL77I0KFDueWWW3jwwQfZYostuOqqq9hwww357rvvaNOmsmPglFNOAeCll15i1apV67W3di1lV1/NA8Cm7gx05wZ3PlQdOMlJ7j/g/hjuRxKGVR7M6aeX0LJljfdFsTmlM2bMoE2bNuy1114AfPnll0yYMIFTTjmFvn37AtCnTx/y8/OZO3duTc0tIQxfFhGpFwVzIiK5ayxhntp6Vq5cyY8//sjOO+8MwA477MDQoUOZMWMGP/0URkB+/fXXQMhm2a5dO4YPH05hYSGLFy9er7327cm//HI2cGd+hr6LSONwX4X7R2yySa1DLAHmzZvHp59+yjbbbEPPnj0BWLhwIT/++CMjRoyoWG7u3Ll07NixprJ35YT5eiIi9aZgTkQkd02khjk+vXv3Zu3atbRs2ZKSkhLMjPLycnr16kVpaSmbbLIJL7zwAlA5fOzII4/ks88+Y+nSpfGaNEIh5RYZ+SYijetQqDnLaux35IMPPmDx4sXsueeeFZ8tWbKEVq1aVcyfKy4u5r///S/t27enT58+8ZorImTZFBGpNwVzIiK5azm1DLX8z3/+w7nnnlsxnHLevHn07NmTgw46iF/+8peMHTsWgJYtQ1WDXXbZhRUrVlBSUlJTk2XAHmncf5FscSJQY+rJ2BDLadOmAVBQUFDxWbdu3WjdujWTJ0+mrKyMm266iWnTprHbbrsBUF6+XsLKVsBbadx3EWnGFMyJiOS2vxGy862nR48emBlmxty5c3n++ec56qij6Nq1K8cddxxfffUV//73vytuVPPy8ujWrVtFz1ycIWLtCXW4RJqSjsCudS20dOlSPv74YzbbbDO23XbbivcPOuggDjvsME499VSGDRvGpEmTaN26dUX5jzj1G99ABcNFJE0UzImI5LZx1HIuj91I/uEPf6BXr16cdNJJABx44IHsvvvu3HbbbcyZMweAjz/+mPz8fFq3br3OulXkE4K5GquLi+Sg/YH1s/5EYg81pk+fzrfffssee1R2Tr/66qv8/e9/5/HHH+frr7/mjjvuoHfv3uy2224MHjwYWO/3aAXwVAa+g4g0UwrmRERymBkLV67kx9qW+fTTTxk7diyXXXYZnTt3pqysjE6dOnHTTTfx5ZdfctxxxzF27Fiefvpp+vfvz/Dhw2trrgPQL61fQqRxHUPonYsrFowtXbqU0tLSiiANQjB34403smTJEjbffHN++OEHpk+fzkknnUSbNm3W790uK2vLzTe/m5FvISLNkoI5EZEcY0YHM4404zFg8a230nt1nEFbsRvJSZMm0aFDB8466yzKyspwdxYvXsygQYN4+OGH6dGjB+eddx7Lli3juuuuIy+v1kuDA4PS/61EGs1eJNDbfOyxxzJz5sx15ssdfvjhrF27lj//+c/cfPPNnHzyyRxzzDGceOKJ8Rv58MMWXHnlF5i9gdmFmP0iTd9BRJopZSUTEckBZvQiZNwbCexDSKKwDJiwcCH/bdWKa6mWwMHMKCsr45VXXuGggw7i888/5+233+bFF19kwoQJPPfccxx11FEMGDCAdu3a0aJFQpeEvGjbIk1FnSUJYqr/jgwePJgzzjiDP//5z2y44YZcf/31nH322RVJhdYZYuleQlnZXwlzXEcCdwJ3YjaLMFx6HPA+7utlTBERqYnVUANFREQakRkG9Cfc9I0Edok+mgO8SLjxe9edUkKvwvfAhvHa2mKLLfj2229p3bo1bdu2ZeTIkRx77LEcdNBBuHu8uXG1WQGcDfwjpS8mkn3mAb3r28jy5cvp3Llzbb9TJcCOwFcAmG1J5QOavQhzUhcD4wm/36/jHje5kYhIjII5EZEsYUYrYBiVAdxmhGGNU6h8cv+pO/FO3PcDZ1Jt+PzatWu59dZb+fnnnzn++OPZaaed6rubSwk3vrrJlKbiUuA6oF2GtzOP8Du9PrOuwAjC7/0IoBMhKctrhN/78bgvyvD+iUgOUjAnItKIzNiAdW/iOhKe4L9KuImb4M7iBJraG3iecBOYCWWEm8tfARMytA2RxtAG+A8hsU+NtebqaS1wFyFwrJ1ZK0JPXeyhzubRJ1Op7JX/JF7tEBFpfhTMiYg0MDO2pPJGbU/C8KpFwEuEG7V/u1Nj5e4atCTMoUt370JR1PY7hJ6/r9Pcvkg2yAeuBC4HyglZW9OZJG4FcAAwOam1wnjNHak8X8Tq4c2hsrf+P7iXpm1PRSSnKJgTEckwM/KB3ai8Idsu+uhjws3Yi8B0d+qb+GAscEQ923DCjWcrQm/F3wlzeGotfyDSRLQGCgjlCo4g/B60JjzQqI8VQFdCD3fqzHoChxDOI/tG+7YMeJlwLpmE+/J6bUNEcoqCORGRDDCjPeFmayTh5msjwo3cW4SbrpfcmZPmzR4OPEEtNbNqsJYwtNMJvYPPAK9H74k0VwbsTAjqjgd6EXrtku39LgOeBEalc+cw6wDsR+U5ZkPC73Ih0TkG97lp3aaIZB0FcyIiaWJGD9Z9at4G+JkqT83dWZrBXWhFGAbZM4FlVxFuTJcCzwL/JMzJqV/PgUjTtSkh++RJhOyyq0hsjmoJoWf+44ztmVk+of5jrPe/X/TJR1QOx5yhsgciTY+CORGRFEXlA7an8gZq9+ijb6hMVPCOO2sacLd2A94kfu9BMaG+6OeEnoIXgc8abtdEmoxOwP7AccCBhIcg7Qlz76oqBv4fcEuD7p3ZNlSWPRhKmP/3HZXzct/AXT3vIk2AgjkRkSSY0ZKQtCQWwPWJPppGZQD3cQ3lAxrKUODPhECzLHpNIQRw4yGh7JgikpgWwBDgKOAwQg9eOSF4ugx4GhrxfGDWDTiIcL46kJDcZSWVGXPH4/5Do+2fiNSLgjkRkTqY0YVwEzSScFPUGVhNmFc2DhjvzsLG28MatSEMvSxGwydFGorRmMFbbcxiCV5iD6N6E/b1PSqHY36msgciuUPBnIhIHGb0oXKY0jDC0/cfCD1b44DX3CluvD0UEamHUPZgAKE3cSQh2QvAF1QGdu/hvrZxdlBEEqFgTkTqZfREugCDgYGEoKcXoTdoDbCAkL1xOjB5zAiWNdZ+1sWMPMJ3iD2x3jH66FMqb2ymuquHS0SaILNYgpeRwN6EcgxLgAmE898ruK9ovB1MgFnC1yPcs/Z6JJIMBXMikpLRExkI/I6QDn81IeFGvFpMpYT5Ga2BF4Dbx4xgekPtZ23MaEu4aRlJuInpQZjr8g6V5QO+aLw9FBFpBGaxBC8jgYOBDQgB0ZtUlj2Y13g7WI1Zytcj3LPieiSSKgVzIpKU0RPpTUiksSvhglg9e1ttyggX2veBk8eMYH7697B2ZmxEuDkZSbhZaQcUARMJNykT3fmpofdLRCQrmbUA9iCcMw8Dtoo+mUnlqIWZjTLPzixt1yPcG/x6JJIOCuZEJCGjJ2KEordjCMNW4j31TFQp4SnvaOCxMSMylywgKh/Qj8rhk4MJCQrmU3kjUujO6kztg4hIkxAfTFWSAAAgAElEQVTm2fWl8ny6B3HOp7hn9nwa9mMUGbgeKfmL5BoFcyJSpyiQuwM4g1BLKV2KgQeBi9MZ0JlVpAqP3XDEniR/QOUNx4eNXD5ARCS3mW1EZdmDA6gc6TCJcJ59Gff0jnQIgVxGr0cK6CSXKJgTkVplMJCLKQYeHDOCi+rTiBmdCDcTsTkeXQlPW9+gcv6bhtGIiGSCWU1zkP9D7CGae/3mIGcukIsJAZ17va5HIg1JwZyI1Gr0RE4lDGXJxIUzphgYPWYEjyazkhmbUZl9bTiV2ddi5QNedSe7s6+JiDQ1ZnnALlSOjtgp+mQ2laMjpuCeXHZgswa7HuGe1PVIpLEomBORGkXJTmaT2QtnTBHQb8wIFtS0QDT/bWcq6yINiD76AniRcIMw2R3VRRIRyRZmW1D54K2AULfzR6rU7cS9qI42Gvx6hHuN1yORbKFgTkRqNHoihYQJ7vWZXJ6oUuDdMSMYXvVNM1oTet1iT3h7AQ68S/SE153PGmD/RESkvsw6AwcSzucHAV0IWSX/TXgoNx73hXHWK6SBr0e4D69zSZFGpmBOROIaPZFdgULChPaGshIYdu9BzGXdSfUdos9eIQRwE9z5oQH3S0RE0s2sJTCUytEWfaJPplE5HPN/hCLghTTC9Uh16CTbKZgTkbhGT+Qp4BgSrNsz/6NCXrgieohpRvsNetJ375MZfMofsLy8hLZZXk75tzP4cfy1bAjkAd9ReUF/w51VyX8TERHJeiG5yfZUjsLYPfrkG0LP3VaE60JCyoHfE9JTtgBOAW4kqW69MuBZ3E9IfBWRhteisXdARLLP6Il0AQ4nuQKsAIx6Yj4t27RnybxPefn/HU6njTZnh4PPTmjdvDzyevene4fu3Fr0A88BH7hTnuw+iIhIjgm9Cx9Hr5sw2wQ4BDgSGJFsc9cCjwPPE8ZxHgVsAFyeeBP5wBGYdcF9WbLbF2koCT/hEJFmZTCkVkS7VfvOtO7QhR7bDqbnDnvx3ezJSa3fohU/j3qcN92ZrkBORKSZcl+E+0OE7JU/J7PqKuAu4BZgT2BH4HxILl1ysBoYlPxqIg1HwZyIxDOQemYM+3nxXL775F26/2JA3Quvq120fRERkYEkOVfuA0I6ymFV3tuTMAE7SboeSdbTMEsRiWcYKZ4fHvt1bwDWFC+nz6DD2Gnk+ck20ZKQuvrGVLYvIiJNStLXo/nRnz2qvNcfuDv5bet6JFlPPXMiEk+vVFc8+vb3+NU9Mzjw//7JotmT+XDs7ak00zPV7YuISJOS9PVoTfRn0pO+49P1SLKagjkRiadVqit26L4ZnXtsyVZDj2LnIy9hxnM3p9JM61S3LyIiTUrS16Ou0Z9Lqrw3npTnDuh6JFlNwZyIxLOm7kUS4E55WWkqa6aUfEVERJqcpK9HvyTc4FZNv/U50Du17et6JFlNc+ZEJJ4FQL9UVlxTvJyyNav48ev/8tFLY+jdf59UmlmYykoiItLkJH096gEcB1wc/X0tIbvlaaltX9cjyWoK5kQknreAvUiqvmrw2K97R0XDe7D5wIMYPOqmZJsoBQqTXUlERJqklK5HDwGXAPsBbYBRhCLiSdL1SLKegjkRiWc6sBLonOgKvXcq4LyXPR3bXhltX0REJOnrEUBb4L7oVQ+6HknW05w5EVnP3GnMKC9Lrq5PupSX07boR6Y2xrZFRCTrTKbxkpC0BqY00rZFEqJgTkQqmNHZjMvGX8vML9+hZXkZaelqS1R5GXz5Nq0e+zXvmnGambKIiYg0a+7LgBeAsgbechnwfLR9kaylYE5EMKO3GbcB84BbgE+XfMN5lkdJg+5HHisXfsxVhOxlDwNfm3GFGV0acj9ERCSr3E7DZ5VcHW1XJKspmBNpxszYyYwngK+BCwmleHZxZ99pT3OfGe8TJoA3hFIz3v/fBP4A7AzsD3wM/BGYZ8YdZmzWQPsiIiLZwn06NOz1CHgf9xkNtD2RlCmYE2lmzDAz9jFjEvBf4EjCHPGt3DnBnQ+qLH4y6ao5V7fVwEkA7rg7r7mzPyGwexE4H/jKjCfN6N9A+yQiItmhUa5HItlOwZxIM2FGCzOOJ2Tmeh0YQMjUvJk7F7ozt/o6Y0YwHxgNFGd494qB88eMYEH1D9z50J2TgF8AY4DDgA/NeNWM/cywDO+biIg0NvcGvR7hvt71SCQbKZgTaeLM6GDG+cCXwD+A9sAZwBbu3OTOkjqaeAx4kMxdQIuBB8eM4NHaFnLnW3cuBjYDrgR2BF4FPjDjBLPka+KJiEhOeYwGuB7hXuv1SCSbKJgTaaLM2NiMG4FvgbuB+cDhwHbuPOTOqkTaGTMCBy4mMxfQ4qjdixNdwZ2l7twMbAH8hlAP9u/Al2ZcaEaHNO+jiIhkA/esuh6JZAMLvxci0lSY0Rf4HfBroBUhpfOt7kyuT7ujJ2LAKOAeQu2d+vSElRLmJJxfV49cXczIAw4GLgX2BJYB9wP3uLOoPm2LiEgWMsvI9Ug9cpKLFMyJNBFmDCEENCMJk8QfA+5w5/N0bmf0RHoDfwN2I1xE85NYvYxw0XwfOCneHLn6MGN3wr/BkYQL9N+A29yZnc7tiIhIFjBL2/VIc+QkVymYE8lhUa/UYYQAZjCwhJCZ8l53vs/ktkdPZCBhOMoRhAtiO+I/HS0FVhIutM8Dd4wZwfRM7psZW0X7diphGOZLwJ+Ad90bthC6iIhkmFnK16Oo7IFIzlIwJ5IemwDHAv2BLsBzhHT6GSm6bUYbwjDK3wHbEOrE3QE86p7xTF/rGD2RLsAgYCBQ8PMiBue1IK/DhnwNLAQKCRk0p4wZwbKG3DczugPnAucB3YApwK3Ai+6UZWiznYBjgD6EIuzvEurliYhIJpmtcz0iPOTMg/WvR7g36PVIJFMUzInUzxbA9YRAzoG20ftFhIvHUODndG3MjG7AOYT0zBsRLkq3AmPdWZuu7dSHGYUA7hQ07p5UMqMdoZfuYkKJgy+B24HH3dMacO8JTCQcC+2pDOa/AK4hFGUvT+P2RESkJmaFALgXNOp+iGSQgjmR1GwJ3EAY0tGC+MM5VhOKcg+C+g3tM6MPcBEhe2M7QsDwJ+CtbBs2mI3BXIwZ+YT5dJcCuwI/APcCf3bnx3o2vx0wFWrMprkCWE4I/p+ExLKJiojIegzYGfgVoUxN27hLTZ8+AICBAz+soZ0S4APgGcIIiqy6nookQsGcSHK2AW4EDiUEcS3qWL4IOBN4KpWNmbELIfA4hjBZ+x+EhB5ZO2wvm4O5mKjQ+F6Ef9uDCRf0RwgJY+ak2Ow7wB7UXfKlCFhL6Bm8D1ia4vZERJqjFsA/gX0JGZvrW2N0DeGcPBY4BY2ekByjYE4kMdsRgrgRJBbEVfUtYWhfQnO0okDjQEKgMZwwTPMB4G739GZ/zIRcCOaqMmM74BLgJEImtH8RSjlMS6KZXYC3Cb2miVpJeLr8CKGX9dsk1hURaa7uJ8wZT+Z8m4hiYAxwZZrbFckoBXMitdsRuAnYh/AEMJm0xzFFhOGRz9a2kBmtgOMJgcUOwALgLuBBd5ansN1GkWvBXIwZPYHzgbOBzsBbhPmIE93rfFI7jtDDV1evXDxrCE+CJxKGYP43hTZERJqDVoTRDOkO5GKWAhui3jnJIQrmROIbANxMGIqXahBX1VzCPLv1LhBmdCIMxbwQ6EUYt38r8LQ7a+q53XTbADic0HPYjTjBy/TpDAAYOJCa5iiUAd8RiplPJPRQZY3o/+N0whzF3sAs4DbgHzX8f/QBPiGUQFiPu0f1betURgjsZgLXAv9G8zdERKoaCkwgZA3OhCJgCPBRhtoXSTsFcyLrGkgI4vYg1KFJpaclniLCWPyxsTfM6AVcAJxFuDC9SQjiJmVbUpPIfoQArJyak3wk42fCPIWhwKdpaC+tzGhJmFx/KbATIa313cAD1XpK/wqMopZ5G99//z0vvvgiLVq04NRTT01k80XAIkIGzGdJcIiuiEgTdwTwGJkL5pYDRxEeponkBAVzIkFP4CFgGKGHJaEgburUqXz++efsscce9OnTh7y8vNp6Yr4CtjZje8JQyhMIPX7PEeZozUjHF8mQvoSMX+ke2uKEYS2bEwKYrBPNYdwPuIww3HYFIYC7KyprMI+aMqkBL7zwAn/84x9ZuHAhZkanTp149NFH2XXXXRPZfCyo259Q6kJEpDk7GniYzAZzxwKvZqh9kbRLV6+DSC7blFCvbT9CsFLr74W7s2zZMk488USGDRvGzTffzJAhQ7j99tsBahxSt3YtPU87jWnA/wjZKf8CbOXOcVkeyEHoVUwm6UuijNCjdXAG2k4Ld9ydV93Zl5DoZDxhSOzXDz/Mv8vLaz5eSkpKOOWUU9hiiy0YO3YskydPBmDs2NBB+/nnnzNv3rzaNt+BMIxzGrBVWr6QiEgzt2jRIq6//nrWrs2K8qwi9aJgTgReJBTgrjNYifW6zZo1izfffJOXXnqJSZMm8atf/YrbbruN++67r8Z1W7Sg7ZVXMiAvj6uBzdw53z1neluOIswdzISOUftZz50P3DkB2KpzZ/5yzDH0z8ujdU3LL1q0iOOPP55zzjmHXXfdle7du7Pxxhvz0UdhOsZvf/tbNt98cw444ACmTJlSUzP5QFfgujR/HRGRZmnhwoVcf/31zJo1q7F3RaTeMvGkXSSXbAZsSx0JTmbNmsX2229f0ev2yiuv0LFjR/r168emm27KNddcQ3l5OVdddRV77LEHO++8c9x2ttqKkrIyPgB+SvP3yLQNMtx+zwy3n1buzAU+KS+nGGhf03J9+vThL3/5C2vWhLwpM2bMYN68eRx44IF88803zJ49m/POO4/vvvuOvfbai759+3Lrrbdy4IEHVm8qj1DsXERE6lDX3OSffvoJM+Occ87hiSeeYKutNPBBcpd65qS56wGsrm0Bd+f000/n7bffrnivV69eLFmyhK5du+LudOvWjcsvv5yOHTty5513snRp/DrQZnQg1BRLKL1hFsn0uaK+2UIbWj5wdV5ezYEcQHl5SF7aqlUrVq5cyV133cWcOXO45JJLuO2229hxxx357W9/y3PPPcfUqVMpKCjgqadqrC9fmt6vICLSNH3zzTe1voqKihg2bBht2rThzDPPbOzdFakX9cxJczeHGlLKx0ybNo1vvvmGF198kb322guAvn37snTpUt577z32339/ysrK6N27NxdffDG///3vOeeccxg8eHBNTW5OmJ/X5CZYl5aWMmXKFHr37k2fPn0ae3cy6XASyOiZl5fHihUreO6553jooYf4+OOPue222+jUqRPjxo3jhhtuoF+/fgAMGDCAe+65h5KSEiBuSYOFGfgeIiJNzhtvvNHYuyDSYNQzJ83dj4RsgXEtW7aMa6+9lkWLFjFx4kSmT58OQPfu3enfvz933XUXAPn5oWPpuOOOo2PHjkycOBEIN+RxdCCUIMi13rlaffnll+ywww4MGzas4kL65JNP0qdPn/VeW2yxRePubP0Yobh3x9oW+uKLL7j88svZcsstOe+889h4442ZNGkSF154IXfffTcLFixg7NixDBs2jLfffhszw8xo1y4kDK0WyJUAj2fqC4mIiEhuUs+cNHcO3AjcSZyeljlz5tCzZ0+uu+46xo8fzyOPPMLAgQPp168f++yzDw8++CBTpkxh0KBBlJeX061bNw455BCeffZZbrjhhtqKRW8J7E0TqmVz7rnn0rNnT8aPH8/WW28NwJAhQ2jTpg3Dhg1j+PDhLFmyhI8++ogHHnigkfe2XoYCW9S2wE033cQDDzxAhw4duOCCCzjqqKMqeuDKysro0KEDo0aNYvjw4YwbN47TTjuNCRMm0Ldv39qa/WvavoGISDNQXFzMpEmTmD17NosXL6a8vJyNN96YrbfemoMPPpiOHWt9JieSGzzKu62XXs341crdf/A4ysvLvby83N3dzz//fO/fv79PmzbN3d0LCwt9xx139H322adiWXf3u+++27fffnufM2dOvCareicLvnuir5/q+jIdO3b0V155Zb33X3rpJe/du3fFz1OnTnUzq77Y5Cz4jom+XnX38nj/BuXl5X7vvfe6mfm111673ucrV670srIyLysrq3jvvffe85YtW/rTTz8dr0l399Xufn8WfG+99NJLr8Z+He3uy70OJSUlftZZZ3nbtm09Ly/P27Zt6z169PCePXt6u3btPC8vz1u3bu2nnXaar1y5suqqy9x9/yz4nnrplfBLwyxFYA1wDVBc/YOqPWsjR46kVatWPPbYYwAMHTqUs88+mzfffJOHHnqoItnFkiVLKCoqSuSJ3yDSX4S70XTv3p233nprvffnz59PUVFW1gNPRVdgL2oYIlteXs6qVasAGDduHE888QSLFy+u+HzGjBnccccdrF27tuJ4KS4uplu3bnz//fc1bbMcuCV9X0FEpGkbPXo0L7zwAnfeeSdz5sxh5cqVLFy4kAULFlBcXMw333zDfffdx8svv8y5557b2LsrUj+NHU3qpVeWvFp7Hb1P5eXlfu655/qAAQN85syZ7u6+fPlyv+SSS7xr165+5pln+muvveZ77723n3rqqbU1FfOzu2+fBd89kVedPXOPPvqo5+Xl+ZAhQ/yCCy7wK664wo844ghv2bKln3HGGRXL5XjP3EAPT25rtWTJEr/gggu8TZs2vtVWW/lVV13l7u6nn36677zzzhXLlZSU+DXXXOP5+fk+e/Zsd6/s4Y2UufsLWfC99dJLL72y4ZVQz1znzp39X//6V12L+fPPP++dOnWq+pZ65vTKuZd65kSC1YSizOv1zkFlZsHDDjuMli1bVvTOderUiVtvvZXRo0czffp0Tj75ZEpLS7nyyisT2WY+sDY9u59xcTO5VDVq1Chef/11OnTowD//+U/GjBnD7Nmzueaaa9Yppt6pUycKCgqSbj9LdEtkoa5du3LXXXdRUlLCqaeeysMPP8zcuXPZaKONKCkpYf78+QC88847PPvssxx22GH07duX8vLy6vMsVxGSrYiISILatm3LokU15jarsGjRItq2bdsAeySSOeaeK/dQIpljhvXsycGzZ/N8x441JwYqKytj9OjRTJ06lb/97W9st912FZ8tW7aM5cuXs/nmmye62blAruTv/4ZQYD1TJgCHZLD9dOkIfE8d5SxqMmvWLA499FCGDh1Knz59uPPOO9lpp52477776N+/f8VDg5jZs/lp2205wJ0Zadp/EZFcdjTwMNCptoVuvvlmrr32Wo4++mj2339/+vXrR+fOncnLy2PZsmV88cUXvPrqqzz11FNcc801XHXVVbFVlwPH0gRLB0nTpZ45adbMaGnGycCHCxfy0k03UbxmDWviLevu5Ofnc/jhhwNUlCWI6dy5czKBXDFwYup73uBeJ8zdyoRi4OUMtZ1uK4AHqKEHty7bb789TzzxBPPmzePtt9/m9NNP5+mnn6Z///7AunM0V62i9KKLaAtMN+MNM0aYNa1yFiIimXDFFVfwyCOP8M033/Cb3/yGwYMHs91229GvXz8GDx7MKaecwueff86DDz5YNZATyUnqmZNmyYyOwBnARUBvYBZw2+OP8/yvf803QOea1i0tLeWss85i44035oYbbqBly5bJbLoY+Bk4Apia8hdoeHsCk8hMwpYS4BfUUu8vyxhwO3AW0JYU6wUWFRXRoUOtdce/6tKFXZYv5wzgQqAX8DGhRuHT7vEfOoiINGEJ9cxV9cMPP/DFF1/w/fffV5Qm2HLLLdlkk03iLa6eOck5CuakWTGjJ3A+cDYhYHuLcHM80b2i5+kyQnbL9tXXjw2DKykpSXacfRFh/tM1wCOEOXq55grgKkIAk45e/bWETKInAC+mob2GNhj4E7AL0IowBzJdioBzgCcBzGgFHAdcCuwALADuAv7qzs9p3K6ISDY7inANTTiYS9Jy4BjgtQy1L5J2CuakWTBjO+AS4CTCTfe/gFvdmRZn8fbAd4T5UfVVBKwEfg88ATnfm1IAnArsR/h3Wq9Xqrg49N61b8/KGtooB5YBLwCPAv/NxI42oJ2Aqwlz/vIIgV19/QT0AEqrvhkNszyAENTtTejlfQC4250FadiuiEg22xf4J7WMnqmnnwnXt/cz1L5I2imYkyYruvHdi3DjezBhON8jwB3uzKlj9f8jBGCpDissIsyv+j/g71S7KW/KzCgEcKegcfekwW1KONZOJ2TnTPXYKSb04N5R20Jm7BJt7xigDPgHcJs7H6e4XRGRbNcZWAy0zlD7JcAGhJE0IjlBwZw0OWbkA0cSbnR3BX4ExgB/dufHBJvpCCwEap3UFEcRodfpSuBpcqf0QNo042AupgthiORlQAuSP4aKCb1yKxJZ2Iw+hLmfvyEEkBMJQ4cL3XOm5IOISKImEUYmJDVhPQGrCUP+f5XmdkUyStkspckwo50Z5wKfA88CXQk31Zu5c0MSgRyEG+lbCU/pElFESN9/BrAFYa5TswvkBAjB/B+BTQjzM+cRjo9ElAD3kWAgB+DO1+6cTygdcTVhDt8bwPtmHGtWc6kNEZEcdBLwLdQ4lD8VK4EvgDPT2KZIg1DPnOQ8M7oD5wHnEoo6TyEEYi+6U1aPptsDXwMbUnPGwiLgB0IvzFgyl74/Z6hnbj15wEGE4t/9CDXq4j1Ic2AJsBUhIEyJGW2AXwO/A7YhHMN3AI+6p1ZSQUQky3QmlPc5lZANOX4vXXFxGO7evn1Ngd8awgPgR4GnSPzBm0jWUDAnOcuMrYCLCSfzNsBLhOyC76ZxeNl2wLuEYZdVsxUWEZKkXAaMQ0FcBQVztdoduI6QSKZqspTV0WsPQpmMejMjDxhJGG68ByFQvA+4153v07ENEZGsZlYIgHtBo+6HSAYpmJOcY8buhBvUIwmJRf4G3O7Opxna5NaEXo4jCJmuZgH3E+rQ6BeoGgVzCfkFcAphSOQmwHhC7aR5mdiYGUMIvzMjCUHj44TfmS8ysT0RkaygYE6aAQVzkhOiXoaDCTekexKGod0PjHHnu8bcN1mXgrnsZUZfwoOJXxN6BV8glOiY3Kg7JiKSCQrmpBlQMCdxjZ5IF0JR5IHAMKAX4eZvDaFg8VvAdGDymBGpz++pixmtCZOdfwdsS5j0fCfwsHviSSIkc6ofKz8vZnBePnkdNmQuDXisSOLM2BgYDfyWkCjoXcI805fcMztkOFvOLSLSBJlVP78MJgxpn0u18wvuOr9Ik6BgTtYxeiIDCYHT4YThWO2IP7G4lJD9qTXh6f7tY0YwPV37YUYX4GzgAsIwtA8JN5vPuTefmm3ZLFuOFUmdGR2A0whzTzcHPgNuA550T2+dJR0vIpIxZimfX3DX+UVymoI5AWD0RHoT0unvSjjJ5de+xjrKCCfP94GTx4xgfqr7YcZmwIWEFP8dgNcIQdzrqpmVHbLlWJH0icoXHE0YxvxLQlHee4D73Vlan7Z1vIhIxpil7fyCu84vkpMUzDVzoydiwChCUe1W1K8IZylhqNRo4LExIxIPvszoT7iRPC5662ngNnc+rMf+SBply7EimWOGAcMJv4sHEgqYPwTc6c43ybSl40VEMsYsY+cXdGMsOUbBXDMW3WzdQegFa5/GpouBB4GLa7vpim4c9yXcOO5HSPf/IHCXO9+mcX+knhr7WJGGZ8ZOwCXA8YQ6i88SkqXMrGtdHS8ikjEhkMvo+UUBneSSeIVrpRnI4M0WUXtnRO2vx4yWZpwIfEBI778jcCWwmTsXK5DLLo15rEjjcecjd35NKKNwF3AI8IEZr5uxf/QwZj06XkQkYzIXyIHOL5KjFMw1X6PIzMkwpj1wxuiJnBp7w4yOZlwEfEkY494a+A2whTs313dujmTMKBr4WJHs4c48dy4BNgUuJ2SVfQWYacZJZusNbxqFjhcRyYxRNMD5BTOdXyRnaJhlMxQlJJhN5k6GVRXN/Bd7vfswxwDnAF2AtwlJTV7OdBp0qZ+GPlaAfmNGsKABtiUpMqMVcAJhCOb2hELndwEPnvcyndHxIiKZEJKdNOj5BXedXyTrqWeueXqSMGE448rLaLfRNswArgD+DQxyZ5g74xXI5YQGO1YIPbVPNtC2JEXurHHnMcLw6IOBr4DbgXlL5/OuO60baFd0vIg0L7oeicShYK6ZGT2RXQkpfOuT+SlhefnkbdKPsv0u5Uh3jnZnakNsV+qvoY+VaDu7RfXIJMu54+687M5wYLfNdmFahw3ZLCpz0BB0vIg0F2aNcj2K6teJZLWGuuhK9rgYEn9yPv+jQl64YjgArdp3ZuNtdmO3E66lx/ZDEt5gfkus73COJRTolNyR1LEC8PPiuTxxap/13t/1hGvZ/aTrEmmidbTdE5LZrjQud6aNnsiP7pSRYJ2nqueWqrr07stJf52d6KZ1vIg0D0ldjwoJNVYAOgO7AdcCid+5ADq/SI5QMNeMjJ5IF+BwkiuqCcApj39LybLv+eC5W3j+yuEcfccUNtrql4mung8cMXoiXcaMYFmy25aGV59jBeCo299jg023rfg5v1WbRFfVsZKDYseLWfLHy6gn5tOyTeUUGMtLqgkdLyJNnVnK16Nvge+BWwjB3RQg4TuX6PyCWRfcdX6RrKVhls3LYGB1Kiu27tCVjbbehQOufIYNNtuemf+6NdkmVgODUtm2NIqUjxWAVm070rpDl4pXi8SDOdCxkotSPl5ate+8zrHSql3HZJvQ8SLStKV8fukK7AI8Q8jWlPSdi84vkgMUzDUvA6lnFigzo8/uh7Lok/eSXbVdtH3JDfU+VupBx0ru0fEiIplS/3sX4FAg6TsXnV8kB2iYZfMyjDT8n7ffsDcrly1OdrWWQAFwY323Lw2iXsfKP3+3B5ZX+azo2Lum0aXX1omurmMl96R8vDz2694Vf+8z6DD2+93jyTah40WkaUvLvUtvIOk7F51fJAcomGteeroDLSYAACAASURBVKWjETNLddWe6di+NIh6HSsjfv9PuvTapuLn9t2Sbk7HSm5J+Xg5+vb3aNG6HcA6c+eSpONFpOlKz71L6qvq/CJZTcFc85KW+izFPy2k3QY9Ulm1oepPSf3V61hpv0FPOm28RX2a0LGSW1I+Xjp034xWbTvUd/s6XkSarrTcuywEUrpz0flFspzmzDUva9LRyNxpE+i147BUVk05oYY0uLQcK/WgYyW36HgRkUxJy/llAmG8Zgp0fpGspmCueVmQ6oqri5byw1czefVPJ7J03qfscuyVqTSzMNXtS4NL+VgBWFOygtVFyypea0qKkm1Cx0puqdfxkgY6XkSarpTPL0uBmcCJ8P/ZO+/4qorsgX9PEhIgdClSpChSBAXEAogCilJccV1WRVEU24qIFXtb+7oIK6BYEMXe6yKg/iygLtgAFUVBQbBLL0lIPb8/zn0h5b3k3VeS98h8P5/5JO+9e2fOnTt37pw5Z86wAoho5OL6F0eC49wsaxYLgCOwBb2+eOyMtmTUa0Sr7gP4++RFNG7T2W8W+dg+no7kIOK2AvDS5f1KfW7WsTcnT/ss3NNdW0k+omovUeLai8OxexNx/9IWaIRZ5BYBvkcurn9xJAFOmatZfAZkAw3DPaHNAQO5cK7Gouxsr3xHcuC7rQA0aNE+Fu3FtZXkw/UtDocjXvjuXwYCMeldXP/iSAKcm2XNYhHVt5A3A1hcTWU7/OPaisMPrr04HI64MJw3NuVRK+ooSRFSG9e/OBIcp8zVIKYPYwvwKlBYxUUXAq945TuSANdWHH5w7cXhcMQSEUSEASLMmcfwxa/yVwqRGBnbfJEBzEKkTzWU7XCEhVPmah6TqfrITLleuY7kwrUVhx9ce3E4HFEhQqoIJwIfY2vVDgVuasWvQ1LRnCoWJwd4BBgELELkA0RGIOLGzo6EwjXIGsb0YXwGfIIt6q0K8oFPpg/j8yoqzxEjXFtx+MG1F4fDESki1BVhPLASeB5oDIwD2qpyS3/98B2qvn/5GNWzsTgqlwB7Aa8BXyNyDiK1q0gWh6NCnDJXMzmdqtsXKhc4rYrKcsQe11YcfnDtxeFwhI0IzUS4GVgH3Av8CYwEuqjygColrXHV07+o7kB1KtAROBWz2M0EfkTkWkQaV5FMDkdQnDJXA5k+jJ+BCUBWnIvKAi6aPqza96ByRIhrKw4/uPbicDjCQYSOIszAlLgbgf8BhwP9VHlZNcj6W9Uq7V9QLd2/qBag+gzQGxgMLANuB35C5B5E2sVZLocjKE6Zq7nMBmZqEdlxyj8LmDl9GI/GKX9H1TEbm4WM1wvUtZXdi9m49uJwOIIgwqEivIi5U54NPAXsp8oIVT5UrXRHgdlUQf+Cauj+RVVRfQfVoUAP4GVgPPADIk8h0jNOsjkcQXHKXA1l+jD0uYu44tt32JK/M7Z5q5KNdbaXxTZnR3UwfRiK3ct4vECzcG1lt8K1F4fDURIRUkQ4ToSFWJj/o4B/Ae1VOUeVFWFnpppY/Yvql6iOAfYG7gFGAEsReRuRYxCRGMvocJRD7Llw1EQ8P/UbB1/GzC6DOQULwVsr0vxUKcjfSdrSF/nok6fpHzNBHQnBhHkIcKYq04sKyUxNizyvwgI0JZUsES5yFpbdk0B7KSriPi2kTmrEPYu1l9S0YtdK114cjiRAhAxs3dnlQFfMpfI/wCxVtkeZuQBnAtOIcuyCBTvJxVwro+tfRBoB/wAuBloCXwB3A8+hWlXBWxw1DKfM1VBEGAC8CzypyhkT5tEGeAI4BOsYU31kV4h1hJ88eyFLN6zmUuB0VZ6MtdyO6meP9jw+YBynterOTkkhHZ9tpaiQgl+/JmPRbK77fQV3xEtOR/UjgjRsyYdHXcbBLfcj3xvc+WovhQUU/vYN6cte5tQ1H/NMvGR1OByxQYRGwPmYQrMnptBMAp5XjXE0SpGYjF2A08qtkYtOrgwsWMpEYD/gJ8xyNxPV6BRZh6MMTplLbmoBfTCf7XXAe1D5bJcIe2CdazbQu+QM2YR5HIS5GJyAdXJ1CT7jle+dnwG8AkyZPozPREjDlMReQC9Vvo/46hxVgWDtpxHwFbCxwoOFLsBy4P4L5/IYEbSVokKmzDiOSUA3oKMq2yqRr6V37I/AqrCvzFHtiDAMmAtcdOFcFhFBe8naxPRHT+NpYCtwoCpFVSK8w+HwhUhxCP9zgXrA25gS939hrIWLtvCIxy6ofhZHuVKAYcAVwACsH3sAmIrqb3Er11GjcMpc8tIOmOP9TcM6qAzgfuB6QviSiyDAq1jn0lc1+B5NE+bRCFMUDwIGbvudvilppNRryhrgV2wzz8+AxdOHsaVMGW2xKE8/AIepVlkoYYc/+mF75tTGZijrACuAK4G3gp0gwivYeoeOqvwJ5dsK0Apri7mEaCsiHIzNht6myg1BikrBZjVvB5p7eaUDvwBDgNXRXLgj/oiQivUDdbAAB3kQcXs5BXgaGKPKE1V6IQ5H8tEcOB7YB2gAPAd8APGZCBGhB6asjPK+eha4W5Vl8SivEmFK9S9raN+3Fvkpbfil3NgF1S2hM4qLbAdj9TQSKACeBO5GNfw1gw5HEJwyl5y0xqwo9TFFriQ5wGbgRCzUbylEuBCYDlymyn/CLVCE9wFUGRjm8SdgEZ4mqzIx3HIcVcYAzGJSN8hvWZjl9kJgaeBLEfpjA4LrVbk9WgFEeAYbcHRU5dcSPx0D3Ie559Qrc1oRsAV7WTsrXQIjwljgEeAkVV6IMq8UTPlvDnRSJcZhmxyO3YJuwA1Yv1qI9e+KWaL+BxyLKRFR400MD8aUk6OBHVjwkHtUWReLMmKB37FLlSCyD2ZFHItNds3BLJgf4AbljghwylzykQIswtwYK1rwmwM8BFwNNvDxZs8+xtwg/+LHXSmSDtHbQ2YcMEyV+WGckgL0xdzqVgDfQJxdM2ommZjLYtMKjinCLCVvABNFWIcNBtoC+3oRS6NChL2Bb4HHVDkXa9P3Ym6fmZXIthQ4GNc+EhIR6mKhx38B+sTCxUqEQVjfdaUqk6LNz+HYTRBscu5mrE8MtY45G5tgPT2qwoRawEnYWrCewO/AVOBBVTZHk3c8SEhlLoBIU2xLgwux9/EnmFL3Cqrl99mLgwTYnnnDMSPAYuDTKijXEWPc1gTJx0XY7FtlkZvqYH7r3wIHiZCJuT5sxiISVsW6k8ux9VWPibBnBcelYBuBbgLmAbOwTu1dbCbeEVuuILhFriQpWBs6Hljx2WfMadSIPsCNsVDkAFRZDdzXrh1nbdjAW8BHmMWtIkUuIFsXbG2EI/6kA+dha3I/xhbx96nknIsxD4IrYrVWRpX3MGvydd6631AI5gp8JzAfi3Z3cCxkcDgSiDRMqfoas+wcjvXZoQKA1AX+hrkf+kaE+iJcCnyPuQdmYPvEtVflX4moyCU8qhtQvRlbLnMBsAfwAvAdIhcgUtl7Ohq6Y23nfWzT9n97/z9K5e9gR4LhLHPJRSfMIuHnAVdg59NPs3LsWA7Iy+NoVd7xW3Cks1sidMP80z8AhgZRIlsBLwIHUL4DycNc6npgs3+O6GkOrMFfG2LnTrSwEE1P59patZgKMXFza7xtG/+qVYvzatVC09Lwux/PL0AHiHF0NEdJMrEJlt7sajMBt61l2IxyqXUxIjTF1su+r8rxsRRGhO6YC/A9qlxe9mds8uFuoIUnbwq7ItZdgyl2DkcyUxc4C1sbn0l5V/SKKMLWQw8L9wQRWmKTreOwQFkfYAP/uckQjCihLXNlEUkF/opNuB4KbMCWHNyH6voYlnQy5gJfB8q9d3diY7Yjce/WpMFZ5pKHVGzGJsPneQLUOf54evz0E1tUiWWHUCmqfI1Ftzoayq2dG465Uh5E8JmgdKAxFqTDT7hhR2huJ4K6rF0bycwkpVYtbsAip44m8v6jNhZkZV2DBoypUwciUOTABhbnRiiDIzyex6xaJZV/wZ7Xvpjr7QvYzHKA67EB5tWxFkaV5cBs4EIROpSQ5y+YF8ITWNCHeuxqn6me/HdilgyHIxlphvXff2AbbrfAnyIH9kwMBDpWdqAIXUV4GHPJvxp4B3OZPkKVOcmgyCUdqoWovoT1rUdgS2puAtYiMgORSu9bJaRik12PYH1isPdubeBATIl0JAnOMpc8XM2umbiIUEVF2Anchb0UCrAB8fHYbNCehBigf/01XQG6dSNY1CXFXCTnAC9hL5tivIXSL3jl9PciXE3BNvwMx0KUhfmR3xzGsY7Q7At8iXXW0bIDiwx2AYRt6Q1EqJyC3fdYuHJsBfYijC05HL45BltjU9l9ysf6kpmjRjH7uef4GHhUlX/EQygR2gArRXilqIgnsPa0F+ENbDcDbSA2rsIORxXQEbMqn4INvqPtv/OxSY+zy/7gvav7Y5ah4zArzaPAlATcZigFi8g8CvPsCTrRXcnYBSy+wFJsGconJNo6bJGu2ET4adjympeASah+4jOnRlgk81CT52XJxpb1zPJZjqMacMpcctANW5RaJ0b5ZQFrsahXj2IviPoxyjcF88svFfBEhMbAsv32I+XLL9mZmkor/Ln65WCRs8pF6HSEzRtYWP9yljlVRSQS4xjZWNs8A2tToegNPIWto/I1m7x161ZWrVpF69atadCgAZmZpd5D2dgarut8Se2ojFTgO8zKFS47c3JIu+UWihYtovP77/NjfERDxo3jyXHjOLVbN3JSU331i1nAP7HZaYcjkTkIuBWzpKVS+Tp5P+Rg1vT1ULyNSEn3vo1YMKr7qtqbJ0zSscnjvlS8TjBcCjBX7DcxF8SYRPyMKSItMeVqHNAQWIhNcs9FtTIraVdsz7+m+PPuysbWHy/2La+jSnHKXOJTC7OmdCIMt7aioiJSUsLyfivy8lOCm9qjIQsz068s8Z289Ra3HXYY19aujaamRlTmn0BnoGr3htk96INZ0OKxoLoA2Ia54wXb/+0IbN1VMP/8CnniiScYN24c7dq1Y8OGDQwePJinnnqq7GE5mNLhNmCNHWMwNxu/blzk5pKfkcEWLPT208R2b6sBmJWgixcxMxK2YWt1g+7F6XBUM7WAxzBPltr4cGefOXMmr732GgcccAAnnXQSPXv2DHXoTmCKCLdhHjKXYRbA1cBkYHasAl3FiYcxL49YTXAHyAYexOojMRGpD5wDXIp5JKzAJqeeQjU3yBkjsH44lFtlZWwC9odS2wc5EgynzCU+N2Mm9nIDl+XLl/P555+TkZFBixYtOOSQQ4qtFlFYWmJBHrZAOrAZdANsncsxhOlaF0L+XGx2aQSJ5gqR2AiwBAskU65Sly9fznfffcfmzZs58MAD6dWrl53kr/0UYcpUOyzgRIAWWPQz30oBwKeffsoLL7xAz549ycnJ4ZZbbuH888/nmmuuKXlYHvAMNihxRE9t4GeoMGJkOOzA2sR47LmNhv6YO+V+RO+em41ZPP4VZT4OR6xJxZ6VQ/E58Xbdddcxe/Zsjj/+eObOnUt6ejozZsxg8ODBQY/PzSWvSRO2ZWfTFPOumAS8rEpVhMSPhgzMXTrWilyArVjfl9j1IBLYIuIK7N3+Gxbg6QFvM/QUbL1d0PGjD/Kx9cgHY2MwRyKiqi4lbuqlqtkahPfee0/32GMPbdmypaakpGjbtm112LBh+sYbbxQfU1hYGOzUquJrtWs4RFV/U9WcGOW7Q1XP1eq/N8mUjvfqrRzPPPOMdunSRWvXrq3dunXT1NRU7d27t86YMUN/+OEHLSoqqvyO7GKbqvYpU/bZqrrdTyYBAmVv377r9PPOO09HjBgRrG1nq2pXrZ763d3S1RqkveTn5+vWrVvLfh0OO1T1Q1U9IAJZunnnZqmqr8YYIEQb3qaq9SOQxyWX4pmGaZj95c6dO4v/37Rpk3bs2FGvu+46VVX9+uuv9eSTT9Z27drpihUrgp6/fbvqzTfrV6ADQCUBrj3cdISqbgmnjiJkm6r2TIDrDC+BKByt8JaCKmzX5s2n6/bt72mI934wVq5cqT/99JP++uuvwX7OUtUnVZOqndSo5KJZJi4ZWMj+oIudr7zySo4//niWLl3Kli1bGDNmDOvWrePkk0/miiuuICsrK1x3y3ixB7Zo+30ssEqli7YLCwv56aefuPXWW7nmmmu4//77Wb++nLt+JrZGqkuM5d1dScPWPgS1Zlx55ZWMHDmS5cuX89RTT/HSSy/Rtm1bLrzwQkaNGsX8+buWPqpWagxNwfauKUlPKrHK/fLLL7z44ovcfvvtPPvss3z44Yds3bq12DJYr149cnNzmT9/Pi+//DLdu3cnJSWFoqJS3nvp2Ma1jujYgxCBli699FKuuOIKCgp8LycJRL5cjL+1jcOxgAR9idBFaMOGDaEszKlYlF2HI5EYTSWW51WrVnHKKacwfPhwbrvtNtasWcOWLVvYvn07PXr0AGC//fbjzjvvZOvWrUyfPp1NmzaVy6dePbjxRpqp8pHpBElDU2K/NKQkRV4ZyYGN5t9G9RjgQA488F0WL76Q1NSBVNKWCgsLWbJkCaeccgpDhw6lR48eHHfccbz22mtlD62LrakcE5drcERPdWuTLoVM/1abDSlHfn6+HnPMMTp69GjNydll8FqwYIG2adNGRUSHDh2qS5cuDXZ6VZGrPmaFli9fruPGjdPatWtr586dtWvXrrr//vtrr169gh1eqKqfavXfo2RI52uI+/Ddd9/p3nvvrY8//ni53xYuXKgDBgzQlJQUvfHGG4OdHowtqnpYmfLP0xDtOMDdd9+tIqJ9+vTR5s2ba2Zmpu6xxx46cuRInTp1qv7nP//RCRMmaIcOHbRz5866evVqVS09M+2Rpar9Q9SDS+Gl6RrEir527VoVEX311VfL3T+fZKnqJWHI0UsraTfByM3N1c8//1xvu+027du3rx5wwAE6dOhQvf/++4Mdvl1VG4Yhi0suVVWaqRWwdu1a7d27tx511FF68cUXa6NGjXTQoEGam5ure+yxh957772qqlpQUKCqqrfccotmZmbq3LlzQ2W5TVVPSoDr9pP+rqoRuQiEyRZVPSYBrjOSNFhVt2lRUaVuWZs3b9abb75ZGzVqpF26dNFp06bpo48+qtdee602bNhQf/7556CnqWpaAlynS2VStQvgUtB0qIZwrwy4DF122WXapEkTffvtt0v9PmnSJD3qqKO0X79+esYZZ+iOHWHrU0HJy8vThQsXFg+gY01+fr4+/fTTuvfee2tmZqZOmTJFV69erVu3btU1a9Zo+/btddasWcFOzVbVvbX671Uip3pqnW9Ihg4dqiNGjNCsLBs3FxQUFLexLVu26E033aStW7fWyZMnV5RNgGyvzJIydNUQbTnAxo0bNS0tTR988EFVVf3iiy906tSpOmzYMN1zzz21YcOG2qxZMx0zZoxu3rxZly9frv3799czzjgjWHZfqXMFiTS10hDu0Mcee6wOGTKk2M0yJydHly9fri+99JIuWLAg2CkVsVNV61Yiy0OqWhBuhoWFhfrJJ5/o6NGjtV69elq/fn095ZRT9Oabb9aRI0dqixYt9Nlnny17Wraq3lyJHC65VJXpcrXnIyhvvvmm1qlTRz/77DNVVX3kkUc0MzNT77jjDh0zZowOGDBAVe29qqqanZ2tderU0csvv1yzs0N2wys0ufrMsJW5CMcvyarMDdNK3rUBfvvtNx09erSKiI4fP163b99e/N7/9ttvtW3btqWW7JRgm6oOTYBrdalMqnYBXCqX6qjqOq2EvLw8Pe644zQ9PV1vuukm/fnnn7WoqEgvueQSHT9+vM6ZM0fT09P1rrvuqiyrkKxatUo7deqkIqIPP/ywqqo+8cQT2r59+3KpXbt2EZUxY8YMrVu3rh522GHlZoJWrFihLVq00MceeyzYqdmqeoFW//1K5HSrhujcAzO3zz33nNaqVUtPOOEE3bx5c7nfN2/erOedd562adNGf/vtt2BZBchR1f+EkOMdNWtqSC699FLt3LlzKRlUTaFcv3697tixQ9evX6/nnnuutmzZUnv16qUiop9++mnZrHao6sgw68el0ulqDTKQXLp0qYqIvvvuu8XfXXzxxdqsWTPNzMzU+vXr66GHHqofffRR2VNDsVVt4FGRLN+Fm5mq6n333afNmzfXhg0b6u23367btm0r9fuECRN08ODBwU7dom6m2aXESR20gvXlM2fO1J49e+qSJUtUVXXNmjV6+OGH6+GHH65Tp05VEdE1a9aoqo0RVFXPPvts3W+//XT9+vWhst2uqgMT4NrDTWEpc1GMX5JRmWukqpsqqxNV814YNWqUpqam6iOPPFL8fWAd+uzZs7VFixb69ddfBzs9S13MgoRM1S6AS+XS3RrCvWjOnDmlPq9bt04nTpyomZmZ2qxZM+3atauKiL755puqqnrVVVfpkCFDgmUVFsccc4wOHDhQV65cWfzd6tWrtUuXLvqPf/xDn332WZ0xY4aef/75KiK+83/yySc1NTVVzz///OLvAi+gwsJCnT59urZt21Y/+eSTYKdvU9XRWv33K1HTnhrmLN3rr7+ubdu21WbNmumUKVPK/b5ixQrt2LFjcbsKwXZVbRxClu6VyVJYWKgNGjTQadOmFX8XmF3etm2bXn/99dqiRQsdMWKEPv/88/rFF1/oqaeeqgcffHCw7H5V1VohZHEpdArqi3XyySeriOikSZN0/fr1+tVXX2nt2rX1gQce0Dlz5uhdd92lBx10kLZs2VKffvrpYFmUZYuqDqpElrcqy6SoqEizsrL0oosu0rS0NB03blwpT4TA4OSPP/7QQw45RMeOHVvcpkqwXVU7+awnl1yKZ3pLQwT7WbBggYqIzps3r/i7fv366ahRo/Sdd97RPffcU8855xxV3dX+33jjDU1NTdW1a9cGy1K9shYkwHWHm8JS5qIYvySjMneFVmDRLcnll1+uderUKeUyn5ubq6rmxturVy8dPHhwuQkxj21a+UScS9WQql0Al0qlJhpiVq6oqEhHjhypo0eP1m+++ab4+02bNumyZcv0qquu0okTJxYPuPPz8/Whhx7S7t2768aNG4NlWSn169cPOoD/73//q23atCn+/PHHH/tW5lauXKn77befXnDBBcUDsECHoqo6a9YszcjI0EsvvTRUFtmq2lmr/54lanpUbd1iOWbOnKlfffXVrorMzta5c+fq8ccfr02aNNEOHTrolClTdNWqVbp48WK99957NT09XTds2BDqXuxQ1YmVyPNkKHkC3HXXXSoi+vvvv2tWVpZ+8803WlBQoMuWLdMBAwZo586dS63fW758uaanpwdbx7VDVS+MQ53u7inorMnq1av1rLPO0jZt2ujo0aP1rrvu0r/85S/F/UphYaF+9NFHOnjwYD3wwAPLWVeDkKuqTSuR5ToNIwLuggULtGXLljpt2rTiNZS5ubnFSltubq7eeeed2rp161BuQ1tUdbjPenLJpXimflrBevO33npLd+7cqUVFRZqXl6c9e/bUCRMmqKrqDTfcoGlpaaXWyy9evFj32msvfeWVV0JlqZpc0YDDUuaiGL8kozK3y8RWAcuXL9d99tlHJ02apHl5eVpUVFTshfPbb7/pAQccoHvvvbeuW2fOYUEiAa9R1fQEuF6XyqRqF8ClUukktZmPoEyePFkzMjKKQ8cHY/PmzTpu3Dg97bTTtE2bNjp+/PhQ2VXK3nvvrddee2257++//35t1KhR8edIlLl58+Zp3bp19b333lPV0p3GZZddpiKi559/fvGgrEynkqWqd2r1369ETXtqBQPhm266SXv16qWTJk3SP/74o/j71atX64MPPqgnnniiNm7cWGvXrq1NmzbVffbZR//973+Hyk5V9Q9VzahEptYahqXw6quv1pycHD377LO1T58+xS5Dv/76qz733HPasGHD4hd0bm6uXn755dq3b99gWa1X5z7nN12nFczuLlq0SIcNG6bNmjXTevXq6ffff1/q9w8//FBbtmyp77//fqgsVM0KsDAMWSpsw6qmRE6cOFEPPvjg4omGkv3EihUrdMiQIZqamqq33nprqC0KclS1XRjyuORSVaYvNAxWr16taWlpxWvnV69erb169dIjjzxSv/jCsnjxxRe1YcOGumzZsoqyylPV2xPgusNJYSlzUYxfklGZm6x2Dytk/vz52qBBA/34449Lff/uu+9q06ZNtVOnTvp///d/qhpUkctSi+dQ3dfqUpBU7QK4VCr9U4OsLQo8VA8++KCKiA4aNEi7deumY8aMKWWlKygo0J9//llPP/10HTZsmN5+++1ls/LFo48+qikpKXrYYYfpxRdfrFdffbWecMIJWqtWLT333HOLj4tEmZs9e7Z26dKleBC2ZcsWXbhwofbs2VMzMjL0mmuuCRVNaYeqvqhuoF5ROlkrmBRYvHixZmZmaosWLbR///46bdq04gAoqqq///67/vbbb/rmm2/qc889V5F7jqq5qZ0aplz/1jAUumXLlml6enpxwIqAu1BhYaH269evlFvun3/+GUp52K6q+4Upl0uWWqrqn1rJ+sa5c+fqJZdcUqxoB1i2bJk2bNiweIImBNmqenCY8szQSlyHxo8frwMGDNCsrCzduXOnbt26VZcsWVLsGtqtWzd9/vnnQ52eqy4qrkuJmf6qYew3d/3112ubNm108+bNxeOEpUuXaufOnXWvvfbSG2+8UQ855BAdPnx4qT4+BHMS4LrDSWEpc1GMX5JRmeuuYUT/nTNnjrZq1Uq/+OIL3bhxo3711Vc6ceLE4nHl/Pnziy11xRQVFajV9xEJcJ0uhUjVLoBLpdKJWsEg/JprrtG7775bf/zxR7355pv1kEMO0T59+gSN9hhYe1YBYe0o/u677+qQIUO0devWmpmZqV27dtVbb721VP4rVqzQQYMGlT21wg1+d+7cqc2aNdMRI0bofjzEoQAAIABJREFUqFGjdMSIEZqSkqL9+/fXZ599NphraJFaZzVBkyvyVnWk27WC+/vLL7+oiOjZZ5+tI0eO1O7du+uQIUP0qaeeCnVKRZuHf6uqKWHK1VAraN8BHnroId1vv/1KKZG5ubn6yCOPaK1atUot2q6ArWpKbXXfi2RLndSsmpW6OKqqfvDBB3reeefp+PHjtXfv3tqvX7+KDs9X1dd9yFLpus+1a9dq69attVu3bnrCCSdoz549VUS0c+fOev311+uSJUvKD06Mnar6g6o28yGPSy5VVUpR1aCzmarWH+fk5Gjv3r113Lhxpb5XtYjAEydO1MMPP1zPOeecioKflOR/CXDd4aSRGmY0ywjHL1tU9egEuE6/aa5WspRBVfXoo4/WTp06aYcOHbRjx47apEkTvf322/W774LEnMrOVl2zJk8HD75OoU4CXKNLIZKoJtNekbs9jYFV2Ma95cjPz6ewsJDatW3/7ddff53HH3+cb7/9lj59+nDNNdewzz77AFBUVFTRpuGFQDZQP9YXUIJcbBPpWqEOWLJkCffeey8//fQTmZmZnHHGGfTv35+mTZuW3eg3B/gTGAF8GUeZdxfOBf5DiA1Dv/rqK55//nluvfVW/vjjD1588UXeeOMN1q1bR9euXTnnnHMYMmRIOOVkYffkXR+yXQzcHko2gI8//pijjjqKZ555hoEDB/L555/zzjvvMHv2bDp06MBjjz1Ghw4dKitnOzAEWORDNofRELtHZ2HPb1qwg1SV5cuXM3HiRNauXcvpp5/OqFGjivugIOQA+wM/+JBlGtaea4c64IMPPuDdd99lxYoVNG3alCFDhtClSxf22muv4r6yBAVeeha4HCi/m7LDUc2IsOeUKcw691yG16sX/JiNGzeyzz778OqrrzJw4EBWr17NAw88wJ9//sns2bMB2xQ6NTU1nCKzgWuBqbG5grhyFPAS1k/Fg23AYODTOOUfL5oAXwMtqGBTdVXl4YcfZuPGjdSpU4exY8fSoEGDYAdm8eOP39KjB2zf3htYD9wL3IfqxvhcgiNSnDKXePQD3gbqhjpAVYuVnR9//JFZs2Yxf/58MjMzOe200zjnnHMqKyMbmARcUVE5UVAAPAGMBIL0EqWpRPHMBl4Exnn/OyqnFfA9UCfUAQUFBaSl7Rqjr1q1ihdeeIG3336bDRs20LdvX8466yz69OkTKosi4ENggE/Z0oG1wJ4VHTR27FgWLlzIH3/8QbNmzdi0aRODBw/mnnvuYa+99qqsDMUG6S2wiQtHZHQAJgNDMWUq5AChbHsKwk5gNvYc+6E58CMVtOUwZQgocf/FBq3f+5TD4Yg7InTGJhnG1K5N+oYNFGZmBp9MefPNNxk/fjx33HEHCxcu5IknniAzM5OrrrqKiy++uNQ4oRLygQ1Ad5JjcqM+plhkxCn/bGxiPS9O+ceT/YHF+BzXBWkr2cAdwB3Y9wOw8eJwbFLuEWAKqqtjILMjBjhlLjHpA7yGKUIhZ6RL8vLLL/PII4+watUq3nvvPVq1ahXq0CzgGkxB+p74KHPZ2MPfCnimsjICHUnJDqWgAHJzKcrLY0zjxjwVBxl3d04AnqKSQXDZTnzJkiW89NJLvPzyyxx66KHFM7xByAEOBb6KQLaTgFlAiDlnyM7O5pNPPuH7779ny5YtHH300fTo0QOoVPlXrI0fASyNQDZHeXoD96nSXSS0RbUSsoD22KDRL5OBC6igLwy047Jto6iIopQUcoH5WL/3XQTlOxxxRYTDsMHyCEyJmA1MUWUUcDVB+vGVK1fSpUsXALp3785NN93EyJEj/Ra9A/gVGAj8FqH41cEc4GhscjCW5GJjo9NinG9VMhJ4nDDHdmXGAEXY+O0kYF65g0W6AROB0UAqZiGdhGqyWTF3O5wyl7jUx0zafydMK923337L77//zsCBA0MdXgB8BhyGPbR/AZ7DXKlCukP6oBDrDCcC93vfPYR1jJXOrJcge8sWfu/Rg73XreM+VS6MgWw1kWOBx7C6D0uhDvD222+z77770r59+2CH52Od+CkRyiWYO0hXPycF+qoKZpt3YO64JwJLIpTNERy58UamnnEGE9q1Y2daWniTTB7ZwJ3AbRGW3RSz5oY98aRKUW4uLFhAfsuWHHbAAXweYdkOR1wQIRVT3q4A+mJWsfuAe1X50zusCfAzQd6fW7ZsYcaMGQwaNIi+ffv6LX4H5k54E6Y4FkRyDdVIY+AjoC0VuOz7JAv4FlNsd8Qoz+riX8CF+KubncAfwDHAygqPFGkNXAScjxkd3se8vebhlIpqwSlzic9QzMJSlzCtdBWQBXTDBkYBugKnA3/DXhxBTR5btph/eqNGbA3yswJbsdnvxyjta14bWI65bIU0p5QgB1snc70IdwGXASeo8moY5zrKk4kp11diM2kVuqaE6ZqTA3TCBhmRMgCYS2Szh2XJxiYRrgIeJfkGJgmPCPWA71NTWZWfzywRJmNtKZzBwiZgL6Jzk/4XNniobFKoCGsLC6+7jqfuuIPHgRtUI1YkHY6YIkIdYAzmTrkvsAaYAjyqSlaQU+4Hzib6CVfFnsHVwI3A69jzkqzUwya7xwIdCfFuC2PskospcY8CL2Pvt2QnBVuucxjhuaNmYevLR2JKfniINMDWNF8CtMEmae8GnkY1Gd1UkxanzCUHjXNzeaSwkOPr1g29bqUSsoBLgZmRnCzC+wCqDIzg9K6YRbCigXseNhv2d+A9r8wM4H+YIthDlZ8iKNthNMcsI6djAS0qXOBUATnY7PEVMZDpHWwWNBwlPxi5mDX439gLJNhAyBEDRLgJ+CfQV5XFmFJ1Kbb+LI3QA4ZsLJDKc1GKUB8bhO5B8LV7RdjM8iKsbS715H4Zc8fap4S1w+GockTYA3MXngA0Az7H+q6XVSucgGqHKRuRTuYWYN4UH2HP8EcR5pOURDl2SWYaYssgWlPxOzYbuAe4gUiVe5F04GSs790fc92dCjyIajAl2hFjIh1EOaoQEbbUrk3Wqaei+fnswP/C3HxMmXo49tKFxQrgHELPzGcBHwCd8RQ5AFVygVHYjOSTnluKIzL+BM4DDigs5O2cHLQosm67gMjd5coyAVPIfJGfb+spsXUBHYCbcYpc3BBhT+wl/aKnyIEp9Xdg6+BmYYpU2X4pG1Oyn4+BGNuxdZBbKG15DUTmXYhZewdTeq3kNZjieWMMZHA4fCNCBxGmAeuAW7B38ZHAwao8X4kiB+ZJ8yb+B9q52HP5LHAgNqlRoxS5Gs5W7J6HchkNWGpPB64jGiutah6qTwA9MG+yFcBdwE+I3I1Im4jzdoSFU+aSgzHA6Nde4+ZateiAmc/9DF5zgVOxh7e6eAbrNLZjnUshZs7PwtwAjyZIcARVVmGzmUcA11eVsLsxq9LSeHvQIGTbNn7AXzvKwgbFsZpp+wZbexfu5IQCOT/8wDfdu5MiwovgrC1VwE2Y5e3aIL9tAMYDXYAHMDebHZiF7Gzv3Fj1OyuwQek0zDXtc0yRPAIYhA2SS6HKd5g3wj9E2DdGcjgclSJCbxGexQKNnQ+8AOyvynBV3lP19Vz8k/AnvrKxvnoqNtl1OmbZc9Q8vsP6xp/YNZmu2DhsNXAI5loaG2zTszdRHYwFznoDc8Fcg8jjiOwfs7IcpXBulgmOCJ2wYA6fA0eqFodaPxkbpNSmYl/6LOxF8mSUcrwPMXFV2BPbJ2Yf7JrewWYPKyv/CUwhHajKB1HKUGMRoTG2z9enqgwFjsMC7TSh8vVPv2KDg1j6wrfC9lasbO1cFrYo+wIRlmKDk63AgapJve4joRGhC7bm9X5VJlS3PJHgWRa/B+apcmJ1y+PYfRFBMMvEFdggehvwIDBVlV+izP4ZLGBKqL5yB7ss5g+T/EE8YkINdrMsSW3MM6c35hb/GDb2iv/WPSLtMZf8c7C2Ox8LlvKeC5YSO5wyl8B4a8YWYT7zPVTLBZzYE1PS+hB8IJ6DBZk4kShnx6u7QxShPqbUZgA9VZNiP5yEwwsqcwWmBC3zvk7DrCj/wkI9BxssZGODlHgo0mdj1pZg5e4ANmORuf6L145FOAV4GhijyhNxkMkBiPAKNvnSMZnXnAVZ8+dwxAwR0rHovhOx/dp+wdYhzVSNmSdDBvB/QC92ve8DoeR/x6zgL2DLKhwe1T12cXiINMH2Gb0IW8O/BFPqXkTVBS2LEqfMJTAiTMFmNP6qymuhDsPcMKd6/9fH1pTkYYPdC4mBJSUROkQRDsICoswBRvp0U6nxiNAWs249p8oZQQ6ph0W9vBSbsUvHBgYp2DYWC+Io3pmYm16eV15gm4sbMFe6Up29CCnAJ9hLoZNq5dZdhz9E6I8p79ercnt1yxMNgWicmBX4CNd3OGKBCA0xi8fFWKCJ5dg60WdU47LpdAYWJOwsTJFbiQUX+oDqXUaRsCTC2MVRApHamOvvRCwq9o/Af4BHUHXW5AhxylyCIsJwzN843H3WMrEZ9KHY5p8LsKAAsZLnfaj+DlGEy7GX5QWqxXvZOcJAhMcw99xOqqyr4NBMbG3S/tii/XeJLqx8uDQBhnjlf4kFsgg5yyzCIE+2K1WZVAXy1Rg8d7H/YV4B+4YImZ5UiPAPbMKgoskxh6NSRGiDKXDnYftsvYdZGea7iYLEIlHGLo4yiKSwa5/FfpgHzgxgOqp/VKdoyYhT5uLIhHk0wjYDPQiLtNYas3bkYW4YC7BF+4umD2NL4DwRWmKD2V+BQ6vD6lBW9m1/0DcllZR6TfmxItnjjWeReQNbj3CwKl+VOSDsOke1yuSONX7blgg9MOXoblWurB6pY48Ib2B76eyjysZIn7ndnQjay9+w4DTnqlZbFNyYIkIaZjkB6K5KQU3pL5KZRHqmReiOWRROxfbtfAGYpOo2pU8UEnXs4qgAkX6YUnc89lw/DkxG9bsqKHu3eAc4ZS4OTJjHQdiGoH/FXMXqEjxIST5m8cgAXgUm3zucJcBb2ExFb1VWVInQHtHIPn1Y+Why8UCEFsAXwEZMoctGJGK5Ua0SuWNBpPfn1Wto9/MXdMGUns1VJW+88QZXX+zdl2eG30AqCdxuq4NI2ktREa+9fAV9f1/BDmyt7m6znkGE44FXz2LWnbM4pwO7eX+RzCTKu8izUg/EBpvDvLJmAf9RZU2synFER6K0F0cUiHTC7uEZmEL1OjAJ1dhvqbGbjRmdMhdDJsyjDRaQ5GDsxvvZF60QyN36G3+8fCUdsjZW7Yx4LGTH1jCdPn1YuUAtMUeEo4G3urH8qeXs34YYyI1q3OWOlGjujxZRVJBHSvYWfmi4JwOr4v5UFRPm0WbjWj5t0II90zIo9LkXYZW326oimvZSVERRYR4p+Tl8Vbcxw3enetkptdssp/vy/fimQR1yimQ37S+SmUR5F3mW3JGYEtcb2wZlOhbZdWOk+TpiS6K0F0cMEWmBxXsYDzTGAgFOAl5DNbro1bbnXUzaSyK9A5wyFwMmzEOwAA7TsdmEirYKqJDCfFClILUW54kwe/qw+Prfx1J2bAYjD9sMOr6yi8hdXDlnPPcNr0N2YSoazYbipeROpHC5sbw/quSLVNH9iTMl60WVDG/gFSlV127jjGsvIRAprpciyEghdu0lkfqLZCZR3kUiZGIBRi7FtmJZCUwGnlAlJwqZHDEkUdqLI46IBJ7Fy4D27HoWH0fV3/KjEu8AYtxeEuEd4JS5KPE6lCnAuVS+T5cfsrB95C6LV8eStLLbQzlF4TypfH8yPxTLnQgPZ9Lenzjj6iU4rl5C4PUXxLFeEqG/SGYSoe2K0Jxd1oAmmDXg38Drbi/LxCIR2oujChEJZSWfgWrl21TVgHdASnUWnuzEsUPBy+9cL/+Yk7Syl3goY6zIQZzr3A9Je3/ijKuX4Lh6CUH8XuKQzPWSQFR32xVhXxEeANYC12Nh/vur0k+VV50il1hUd3txVAOqBag+h7lGHontUXcr8BMi0xDpEPLcGvIOcMpcdJxJfBpIgEzg3AnzGBuHvM8kOWU/kyqQG5F41LkfziQ570+8ORNXL8E4E1cvwTiTmtFfJDNnUg1tV4S+IrwMfOfJ8ATQVZW/qhL7gAuOWHEmrq+rmagqqu+hOgw4AHgR24j8e0SeRaR3kLPOpAa8A5ybZYR4i26/JX4NpCQ7gC7Th/FLLDJLWtlt4WqVyo1qTOrcD0l7f+KMq5fguHoJQQ3pL5KZqm67uTvoOvMkemPuWodRYm8rVdzeVgmO6+sc5bB+/mLgH0B9bM/HfwNvYtsM1Ih3gLPMRc6T2CLKqiDDKy9WJKvsySq3X2rKdfrF1UtwXL0Ex9VL4lNl90iLqLP5J77Dwou3AS4B2qpyvVPkkgb3TDtKo/ozqlcAewFXAp2Bedj2VW9TQ9qLU+YiYMI8DsZ8d6OJhuOHWsAh3j4qUZG0sotUi9zeXiRVRtLenzjj6iU4rl5CUEP6i2SmqtuupJDadG9q7/8XrgM6qjJVlR1VUbYjelxf56gQ1a2oTsIi0I7FrHFdqCHvgGjCM9dkLsO08LDRoiIWPXYd37w5k5TUNLocdQaHjrmN1LSw21mGV+6pPmUtiy/Zt/3xI4+PLb+29OBTb+LQ0/4ZbjaxkN13ne/EbO/PYBuVXIpNxfogVnXuB1/X+fOX7/Pq1YMASM9sSItOh3DIqTfRstthfsqsjuv0S8T1UpJGbTpz2kPfhpvNblcvCfQ8x5ua0l8kM5E/0yJkNmlF5yNPp+8ZtyMp4c1Lp6ajAy6g+5f/pSASgR3ViuvrHJWjmgfMRmQItp1B2EarZH4HOGXOJxPm0QjbMd7XvmYfP3kT377zGMOvf4X0zEbMu30kGfWb0PvEq8LNIhU4YcI8Gk0fxhafYgORyw4wcvL/aLJX113CpNf2c3p0sotEJPdEYCHwIbDey2Bf4Njws0gFTkCkEaoR1bkfork/Zzy2jpwtf7Lkhbt45ZpB/H3KYpp3PDDc06NuW/Ekmno58/GfqVV7l7u8pPjKYretl2p9nuNNDekvkplYPNObflrB3Fv/SoPm7eh+7PlhnSuS4G3XERTX1zl8sesd4Mv7MJnfAc7N0j99sR3gw6YgbydfvHYP/cbeRavuh9O0w/70OP4iVrz9qN+yc4E+fk8qgW/ZA6TXqU9GvUbFKc1fhwjRye5b7izgYWwV7AHAUcAJROTQHG2d+yHi+5NRrzHN9+3NkGueo0nbbix9aZLfLKryOv0SebvNbFiq3abXre83i92zXqr3eY43NaW/SGaifqZbdu1Lq+5H8Nu3i/xm4e5R8uH6Oocfatw7wClz/jkIn5Fx1n+/hPycHbTef0Dxd626HU7bA4f4LbuuV36k+JY9hkQju2+5l2BPVMkCRwMD/ZcdbZ37Ier7IyJ0OPQ4fv/mf35Prcrr9Euyttt44+olODWlv0hmom672/74kd+++Yhme/f0e6q7R8mH6+scfqhx7wDnZumfAfistx0bfgagbpOWxd813bsHR5w/1W/ZtbC2dZvfEz18yx7gxcv7lVqXcNI9n9Ko9b5+sohGdt9y/+r9bVbiO9+qsxFtnfsh4vtTksymbcje4js4W1Vep18irpfZY9oU/9+hz/EcffljfrPYLeulmp/neFNT+otkJupnOi9rKx36HM8BIy7ym4W7R8mH6+scfqhx7wCnzPmntd8TigryAEjxt14nFK2iONe37AGGXfcijVp3Kv6cuUdEWUUqu+/C8r2/KcBnwGDvcy9sExKfRFPnfoj4/pRERCI9taqu0y8R18vfJ/+PtIy6AKXWzvlkt6uXan6e401N6S+Smaie6dRaGaz/YRkLZlzAspcnc+CJV/rNxt2j5ML1dQ4/1Lh3gFPm/ON7z4qMeo0B2Ll9E3UaNgVgzcdzePNfJ3P+K1m+s/N7Qgki3m8js0krGrRoH0XRQOSy+5a7sfd3E7A/sAyYCzwSWfnR1LkfYrIfStbGX0tZgX1QVdfpl4jrpV6ztqTXqRdt+btdvVTz8xxvakp/kcxE/Uw3bLkP235fzefP3xmJMufuUXLh+jqHH2rcO8CtmfNPnt8TmnU8EElJ4fcSC7W3/LKSek3bVHBWSCJaBOzhW/YYE6nsvuXuBQiwCHuq2kM0saijqXM/xOT+/PjpG6XWZ/qgqq7TL8nabuONq5fg1JT+IpmJTdtVpagwv/LjyuPuUXLh+jqHH2rcO8BZ5vzzC7YRYdhkNmnJvkeM4sOZl1G3cUu0qIAvXruHrkefFUn5v1Z+SEh8yx4gL2c7uTt2RVqV1LRILB6Ryu5b7lbAydg+IS2wh/NeoEFk5UdT536I+P7k7tjM1l9XsfSlu9n80wqOnvhEJNlU1XX6JeJ6iRG7Xb1U8/Mcb2pKf5HMRN52s7ZSmLeTDWu+4Mv/TqdNj6Miycbdo+TC9XUOP9S4d4BT5vyzADgCn7vKH3nxw3z08ERev/5oUmvVpsvgMzlo1HV+y84H3vd7Ugkikh3gpcv7lfrcrGNvTp72mZ8sopE9IrlnARcBR2IP5yDMdO6TaOvcDxHfn8fOaEtGvUa06j6Av09eROM2nf1mUZXX6ZeI6yUG7Jb1Us3Pc7ypKf1FMhNx2509po23aXhL2h00nL5n3uE3C3ePkg/X1zn8UOPeAU6Z889nQDbQ0M9JaRl1GDD+PgaMvy+asrO98iPFt+wNWrTnwrkaRZHFRCN7RHVeF9s35OEIC/WIts794Ps62xwwMBHuT7xx9RKcZH2e401N6S+SGfdMO/zg+jqHH2rcO8CtmfNPwKW2OsgAFkdxfrLKnqxy+6WmXKdfXL0Ex9VLcFy9JD7uHjn84NqLww81rr04Zc4n04exBXgVKKzioguBV7zyIyJpZVetVrm98uNO0t6fOOPqJTiuXkJQQ/qLZMa1XYcfXHtx+KIGvgOcMhcZk6n6aDW5XrnRkqyyJ6vcfqkp1+kXVy/BcfUSHFcviY+7Rw4/uPbi8EONai9OmYuA6cP4DPiEXfsMxpt84JPpw/g82oySVnbVapEb1ajr3A9Je3/ijKuX4Lh6CUEN6S+SGdd2HX5w7cXhixr2DnDKXOScTtXtfZILnBbD/JJV9mSV2y815Tr94uolOK5eguPqJfFx98jhB9deHH6oMe3FKXMRMn0YPwMTgKw4F5UFXDR9GL/EKsOklV21SuVGNWZ17oekvT9xxtVLcFy9hKCG9BfJjGu7Dj+49uLwRQ16BzhlLjpmAzOJX0PJAmZOH8ajcch7Nskp+2yqQG5U41HnfphNct6feDMbVy/BmI2rl2DMpmb0F8nMbFzbdYTPbFx7cYTPbGrAO8Apc1EwfRgKXEZ8GkqWl+9lMc4XSGLZVZNTbp8k7f2JM65eguPqJQQ1pL9IZlzbdfjBtReHL2rIO0DsOh3RMGEeApwJTMP2mPC163wZ8jHf24uqYmYoaWUXiYvc1T27UpakvT9xxtVLcFy9hKCG9BfJjGu7Dj+49uLwxW7+DnDKXAyZMI82wBPAIVhjSfVxeiHWOD4BTqtqX+2klV0kZnIn8pqXpL0/ccbVS3BcvYSghvQXyYxruw4/uPbi8MVu+g5wylwcmDCPgzCz6wnYja9L8FmAfCAba1CvAFO88LvVRtLKLhKx3F4I26Qgae9PnHH1EhxXLyGoIf1FMuParsMPrr04fLGbvQOcMhdHJsyjEdAHOAgYCLTCGkQu8CvwPvAZsHj6MKp8x/iKSFrZRcKWG9XEkdsnSXt/4oyrl+C4eglBDekvkhnXdh1+cO3F4Yvd5B3glDmHw+FwOBwOh8PhSEJcNEuHw+FwOBwOh8PhSEKcMlcJIpIuIo3EIuGU/H4PEWkvIjGvQxFpLCLdRcTPwsxIy2okItNE5MAY59tYRB4R80sO95zhIvJPMep6ybVRRzlEpK2IjBORzOqWxeFwOBwOh6O6cAPlyhkDbAbql/n+FmANUF9E6ovIyGAni0gXEekjIj2DpN4i0ivIaccBX2ELMuPNOC819xS7YCmj7EkiUltEDgqS0r1D/oLVXViISEvgQWAEUA+Yge3hUSgiWiatE5Em0V64I36ISB0RqVcm1fF+qxXkt3reBEnzMIvYH2sjh0Ug2z4i0sD7v4eI/Cwid/rNx+FwOBwOh6O6SatuAZKAHO/vzjLfZ5X4fgjwgogcp6pvlDnuSuBUbDFl2QWK6cAKoHeZ73NDlBlTRKQtcB3WDuaFOGw7Jt+qMt+3Aj4F3sWi/dQBjgBaY4tGzwEEmF/GqPm0ql5URo4WwHxgEzBYVbeLyFXATVj9F2GK7X+BzsApqropgkt2VB3/B/Qr890CbIHxOGBqiPM+xxYiIyIzgb9j4YDLEpiIellEyj4nqcBaVe1Z9iQRaY09c7cAtwFN2dVmHQ6Hw+FwOJIKZ5mrnMIyfwNs9/6qqr6O7QI/s6wVS1XPUtXaqtoQeBbbsHAPVW2kqnVVtTeAiLwvIgGFqtA7Nz8O14NXXjrwHKaIKXAi0LJEutA79B+qWlaRwzsP4GRVHQqcEfheRA7BFLtbVbWpqjYFLgL2AB4vI8chwCLsmo8KKGmq+oeqrlXVP4FtwP1AN2C0qn4UdQVUgoic4lkBTwnxe0cRmSMiO0RkveeqWtv7rX0JK2KeiPwkIo+LSNcg+XQSkfkikiUif4jInVXhXlsF5AHjVFVUVYCbve/AJivWBn4rcUwtYECJPC4BWgTakNeO9vX+b+Kd0wD4Z4nvmwLNsfZXDrV9YV4FLvae1YCF9/tYXjyA5ya8VkQ2BPntHBH5TkR2isjXIjIq1uU7HA6Hw+HY/XHKXAhEpJ2I7MOuwV57EWlf4pBAiNKAdfMyYKSq5hIEEekOnIVZmdJEZKqIHF3ikBzMnTPueOvQHsJc1Q4DHvE+d1bV3zHLyGTgNlV9JkQ2ocKgKvBvzGo3VkQC+3ZcDLyuJfbnEDPZTQP+BI4E6ojIlJIKsYg0xKx2w4GsyKohAAAPI0lEQVRvgW/8X3FEHFvmbzEi0gr4EOiAWV0vA0YDj5U5dDJwNDAFs95+KiIHl8inGRb2tjmmTN8KXApcG8PrqC7ygnwXmAAIZmlDVQtUNavE5yxVzfPckQ8TkY7AbyKyUETGeK65rwGTgAli61v7A/VUdVsFsk0BPgYaYxMMAD/5u7ywuA5oW/ZLERmNTf68h7XrL4GnRWRwHGRwOBwOh8OxG+PcLEPzIDYAD/A9u9zEANZ7f3t5boIHAPuLyAHAhar6ZuBEEdkDeAb4r6r+0/uuM3CCiOyvqluxAW6wAXA8GAucBvxNVb8RkXGYy+c7IvIq8Ffgn6p6WwV5hJoIGAf0xxTF+4DzRCTH+1zKyqWqKiJ/A7Z7rpUzgL9hFsOPRaQn8DRmKRwLDAO+EpEngetV9edILr4yPGV3KGZBGioiKapaVOKQGzD3vMNU9QfvnAbAvSJyA7vu44+qugBYICLzgWWYe2HA/fASYE9goKqu9PLpBEwUkbtUtaraQzxIATqJyEDvc3vM7TYSxgGtVHW4iLQDRmGTAA3w3JxVdaGINAY+AI7C3H+LEZF9MffLPOB3zPJcG1PIATLKTNYA5HuWPN94iufl7HLHLsnV2JrYcd4z8CEwCJiIuac6HA6Hw+FwhIWzzIXmb5jb10ne5zTgJBG5QESmYRYUMAvNk5gFZxumBBa7JXqz7YuwoB6TReQIERmBDTr3wgalVYqqzgIO9NxDwayFc7CB8UjgF+B/lWSTCvwBLBeRImCJ93kOMFZVV2CWiRuA/wATVHV1EFl+9RS5v2PK3lnA9yJyB2Y9KQIOVdXZqnoyZsk4BvhORK6WMgvyYkQfzGJzl/e3T+AHr7wTgUUBRc5jsff3YILg1ccbQF/PsgdwPPBdQJHz+BRTUjqQ3KwEDgGmA+8AHSntythOyge2WR8sI6xd5nkTJddj61C/wALsvAX8n4g8BjTyjg+mBD+KrZX7AQtcFEhXer9/Vub7NZjVL1KmYv3AqyW/9K6hO2alVgBPaX8LGCwiTaMo0+FwOBwORw3DWeZCoKrZACISGHAVishm4F/Aj1ighkOA8cCD3u9NVbXs+pgewL7e/29jgTy+x9y6PgJGiUhFFjA8Of4GNAOyvRTUVa0MdYBMoFBVHy1zfV96lq8TgDMxBeJ2zKLxL8xKtxILOvKVJ28WsFRV81R1DWZVQkS2YFa+973sl4pIGtALaIgpZHkikqaqBUGurTfm6vlfVX1aRE4CrsCiFV6tqoEgNKjqW57cLwHpgQFxibzOxAbu+6vq8jDqKBjHYnU8CXOhPJZdyu1emIL3dZlzVrArCmkoBfNzrL67e4pLZ+DNMse8ilkx4+H2V2Wo6ngAzzI3R1X7lzlkHbYGMsAZmMWqIn7H2tJxqrrE++5JEemLKfh/VnDuMdgzU6Cqxc+OiHwOrFPVE0oeLCKLgaCWX++a3vPkmBPk9xHYpMOR7FpLGiBwzcHaTyrQCSi3xs7hcDgcDocjGE6ZCxPPBfBHoFlgXZw3aEv3FLlGwJciMk5VS87oP4pZq9Zg62dWASeq6jJvbdg+qroqDAPTBZj7WCSs9eRARC7AlI4emPvi19gaotlY9MixqjpIbH+4Mdig9HIvn0Wq2s/LpzXmHvhUyYLEApr8FVtDtg1zVxTMUnG3iCzCBsk3qepGbyD+Orb1wzYAVX1eRJZ5cgezsmwCRqhqsDWGbwB9MQtMpBwLLFTVHSKywPt8nffbnt7fjSVP8JT/OWABUELkG7A8NfFSGt7aS8/il4qtnfyW8JT1ZEZVdUfgg4jkEvqaCzHr6Jfe55O9Z6fs+tRxmHW4XACZwORMSbz7dCDwQJAyWxLaOr0Ea2PfBsmzNmaJfl5V3xORsspca+9v2WisgbbcCofD4XA4HI4wccpcCLyB3inYWi2w6HjPlQlwshLo4v1/I2axKRXi3IvOuMnLkzK/5RJ+QI9rMCtbNt7+a2GcU9c7p2TByzBlaxrwmuf+hydfB8yShheo5DOxqJfNgb0pPQDtCswCAsrcILGtDjKxOrsZmFnCCtJDRPphFpKmniK3J+aCt5DyAVUWAi08uYJd2xdAudDzqrqeXUqTb0SkDaboPulZF/8P+I+ItPHW6AX20YtE2Sp5jYHAMIG1eMdiVtAAg7DgKEmHiNTFrGSBNadpInIWkIFZo32hqhdjAXRKlvE2FlF2ZFnrrA8uwFw4XxCRxmUmB1pg7sbB5NnGLrfaslzpnXt5iN8D97usi3ugke/uSrzD4XA4HI4Y4pS5IIhtbvwtNsP/hff1/kEGjcuAg0TkUCz0/gRV/bRMXsdgYfV3smsA/6LY3lhpwAOqek9lMpXNN1JU9X8iMhezHtwZTFEKuJaWYYKq3lvic4GXAuyPWRX+gSl5O4D7yuSVCpwRCAKjqr+LyFjMMlc2auZQ728eFl3zMeBwzCKWRuhomtEy3Ps7yUslv3+IXVtS1Ct5kmepfA6L5PklwQlETtyI1U/JfD7A1tu1xOojmcnBlPo8rM2nY8p9BrtcKUVEStZhBkEsaiJyEzCh7NeYZTMLWB9C2W9XMjJmkHxbYm31CUzxGiMi+6lqltiG9BmEUOYqyLMddn13AL97kwHi/ZaGKWqBPBuXOT3w+Tc/ZTocDofD4ajZOGUuCKqa8//t3X+o3XUdx/HX23m3FaYzNCySghCUbQWXCIkWDv8xbsZkxWJg1PwBSbF+sEZhhf1QwYFplCUV+c+0TCSnhm5ORSyTlctqQgiFEoE5NtOE7mTv/ni9v/d+7/fec+496962rzwfcPCe7znf88tzxvf9fb8/73dEfFlugDAu6c4BZ/8fk3SFfBB/e2beMsd9npG0XS4JO0sOCG6SSzaboFHy/4v/13yxn8rv7T+aWcb4Ezkzt7GuN7O/Vmj+sQk3t9bMTVbZ3CWZOdWdLyL+pk5pXGb+rG5TZ/v+1n5vqT+frdEJS2lCXs+1sbXtrtp+q7ze8aim10E23iaPeViuwcblIHR/Zh6udXPnSFJ1NN1XDTKOq4jYLHck/buk69trzBaiOjRK0wH3q5l5duvxL5dLjl/u7HpQsy2T9GJmnlv7vkkOlm/OzGvCM/kmmmY+1XBot3zyZND7C/kEy8ny4PDlcifJq+UMeFNKO+og8fXyb/qbdWk7Imesn6zr75Y7tTbWyidH/iIAAIAFopvlAJl541zdFzuekA82D0m6csDjPJ+Zv8jMXXLTBEl6LDN3ZebPM7PJ4kxqZqZryWTm4Wpg8rJcJrlJPpCelNuxvyh3bLxD0srM/GtmHh74gCUiTg+PaZCmy8m6TtgyslqHdaGkPZm5r7nIpaAXRsSKyvY8LJeVntnafb0cvDw564E11ar+YkkPVimoJN0vaXV4BmHjfYv7rkYTEe+RtCYzr5JLgDcv0VPNGhqeHvjdNfU9qsDtR3K577W1+SJJv4yIi9s7DQpAK5DbIXcS3Z6Zz2Xms/Lct1Prbk0wN+pYgl1ydrV9uVfSS/X3rsw8IGf0P9x0Ym197x6osmwAAIAFIZg7RuG5VXfX1aOqDFdErBvSAGNl/feDEfH5iLg1PAD57Zn5kcz81ID9Fl29/t/IwcNcGZF/yWvH/hieQzfocc6Ts3ffkUvEmszSqGWQzYHtWEScUmVpw17/G6pUrrv9zIg4v0plR3WBXB64t7N9b22/oK5/Sf7t3BsRH4qIz8jNY3Zm5nOt/d5Z34et8hrAw3L308Y1te2+iNgUEZdqOkg5Xt4q6an6e78WpyFHRMR7I2JzNbw5VjfIo0KelnRteN7gNvkkyA+rPHLYi1gpZ8O+IOnHnbLhrU0HTk2/5zkzcxFxan3HVrW3Z+bB9kmAOhFwUO6guS8zm9/Z9XJXyx9ExHq5hPgMecg8AADAghHMzW/GZxQRqyLiG/JautfktVRr5QNzycO4/1CNQxQRd0bEgYg4KLetlzwC4BPyOplfa/ZB43laoixd2JXyAfsRed7cHVVGOlUiWF0q18jZx+9HxN1NgFUZqavkAOeAXNK2R9LqzNzdPJWkByLiteYi6R1DXtpYXSbkjOGRqPljms5o/qO17VW5hLVrQg5S3zXaJzO1rzR3MDd1e7XFXyeve7tLbn5zi6TLOvt9Uc7qba37jWdrNl1lR9fJHU5vk0v+duj4Zi8fkgelf1UOnnbOc/8ZImJ5RDQzGL8nd1F9o5yh2iKvdVsm6aT6LbUvp0fEWZ1Avl1/+zu5bf+b5c/+HrmE+f1ysLxiyOv6gPxb+7j8Wc/IpDdl1JUt2yDpUHskRse4/B3rjltYkCot3iJnc38l//uxKTMfHrojAABARxx7I7jXtyoX/Jx8sL02M0+rcrjfykHPjZKuzszJiPis3B3yPnnd1N7M3FiPc4M8MPkJOYD6c2bOWb4VEdskXScf7D6VmeNL8L7WSHpULgn7dK0P3CCXWn5Ungl2Sev+J8ut20/LzI/VtlPkjNIzckZuZ/fANyJekbRhjjVz25t1cp3775GDuEvl7pnzlZ2OSRpbQCksjkFlPV8Ydb1c7XtAPkGxVx7GvT8zX2jdvlX+3gxyTpU+KiKuk9denhsRY/LMxFklvFWqeL6cPf1aZi5r3fZJOahMOYP6re4a2ApeL5PXjK6SdH9mTggAAOAERgOUwQ7JXfT+LXcoVGb+KSK+IumRzGy6XCozv1vLX3bIAci3W7dtG+E5b5dHHTwuNyhZdPUe1mZmOxv4T7l87ffqNG5ID/m+PFqdB9Pz1y6S9NCQtvCDGoEMyp6MyTP7XtF0p0ccJ5n5v3RVXD1sXEBm3iQ3AZohIk6SvzftpjztbPGRIc85KXemPFsuD227TS4ZvmdI9utBuWTzeXlw+9eHPBcAAMAJgczcIqqui0ergUivRMTYPAfLoz7eGZJeWszHBIYJD6yXpKczc2A3SwAAgNcLgjkAAAAA6CEaoAAAAABADxHMAQAAAEAPEcwBAAAAQA8RzAEAAABADxHMAQAAAEAPEcwBAAAAQA8RzAEAAABADxHMAQAAAEAPEcwBAAAAQA8RzAEAAABADxHMAQAAAEAPEcwBAAAAQA8RzAEAAABADxHMAQAAAEAPEcwBAAAAQA8RzAEAAABADxHMAQAAAEAPEcwBAAAAQA8RzAEAAABADxHMAQAAAEAPEcwBAAAAQA8RzAEAAABAD/0XJS0nq52LydEAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 1080x324 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# 为搜索算法提供辅助信息\n",
"g.help_info = {'A': 30, 'B': 20, 'C': 19, 'D':10, 'E':5, 'F':25, 'G': 0}\n",
"# 动态演示贪婪搜索\n",
"g.animation_search_tree('greedy')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"但是在“贪婪”机制下找到的路径 A -> C -> D -> G 并非最短路径。产生这样的搜索结果,其原因是:最佳优先算法在当前节点时,每次均贪婪的从当前节点相邻的节点中选择**与目标节点直线距离最近的节点**,作为后续节点。这样就会造成贪婪最佳优先算法**过于重视当前的最优,而忽视了全局最优**。\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"另一种启发式搜索算法—— A\\* 算法克服了这一不足。\n",
"\n",
"其算法思路是:将初始节点到目标节点的距离分成两部分,\n",
"- 初始节点到当前节点的路径代价;\n",
"- 当前节点到目标节点之间的直线距离。将两者之和作为评价函数的取值大小。\n",
"\n",
"具体而言,对于未访问节点集合中某个节点 n,A\\* 算法评价节点 n 取值大小的评价函数 f(n) 由两部分构成:\n",
"+ 函数 g(n): 表示从初始节点到当前节点 n 的实际距离,\n",
"+ 函数 h(n): 表示当前节点 n 到目标节点的直线距离。函数 h(n) 也称为**启发函数**。\n",
"\n",
"\n",
" A\\*算法搜索过程:\n"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1080x324 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# 为搜索算法提供辅助信息\n",
"g.help_info = {'A': 30, 'B': 20, 'C': 19, 'D':10, 'E':5, 'F':25, 'G': 0}\n",
"# 动态演示 A* 算法\n",
"g.animation_search_tree('a_star')"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1080x324 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# 可以调整辅助信息的比重\n",
"# 当只考虑额外信息时,即 origin_info_weight 设置为 0 的时候,A* 算法退化为贪婪算法。\n",
"g.animation_search_tree('a_star',help_info_weight=1, origin_info_weight=0)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"与贪婪最佳优先算法不一定能够找到最短路径不同,A\\* 算法找到的路径一定是最短路径;另一方面,由于A\\* 算法能够利用辅助信息,因此它比其他算法用更少的步骤。\n",
"\n",
"在实际中,A\\* 算法的性能表现取决于启发函数的设计,只要定义一个合适的启发函数,A\\* 算法就能够大幅缩减搜索所需的时间。"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### 思考与练习"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"下图是一张线路示意图。"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x576 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"node_list = [\"0\",\"1\",\"2\",\"3\",\"4\"]\n",
"weighted_edges_list = [(\"0\",\"1\",10), (\"0\",\"2\",10),\n",
" (\"1\", \"3\", 10), \n",
" (\"2\", \"3\", 5), (\"2\", \"4\", 20),\n",
" (\"3\", \"4\", 14),(\"3\", \"2\", 5)]\n",
"nodes_pos = {\"0\":(1,7),\"1\":(5,1),\"2\":(5,13),\"3\":(9,7),\"4\":(11,13)}\n",
"h_graph = SearchGraph(node_list, weighted_edges_list, \"0\", \"4\", 3, nodes_pos)\n",
"h_graph.show_graph()\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"如果使用深度优先搜索求状态 0 到状态 4 的一条路径,我们可以用下表来模拟搜索过程。注意:在下表中,结点的深度定义为它对应路径中状态转移的次数,如果多个未访问结点的深度相同,那么在这个例子里算法优先选择状态编号大的节点。\n",
"\n",
"|步骤|当前状态|当前未访问节点集合(用上划线标出了下一个扩展的节点)|\n",
"|:--:|:--:|:--|\n",
"|1|0|深度1:${0 -> 1,\\overline{0 -> 2}}$|\n",
"|2|2|深度1:${0 -> 1}$ 深度2:$\\underline{(1)}$|\n",
"|3|$\\underline{(2)}$|找到路径:0 -> 2 -> 4|\n",
"\n",
"请仔细观察上表中各项内容的含义,根据深度优先搜素的思路,在横线(1)和(2)处填写内容。问找到的路径0->2->4是代价最小的吗?"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"答案 1:\n",
"\n",
"(1)$2->3,\\overline{2->4}$ \n",
"(2)4 \n",
"\n",
"答案 2:\n",
"\n",
"不是,代价最小为29,其路径为:0->2->3->4。 "
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1080x324 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# 查看 dfs 的搜索过程\n",
"h_graph.animation_search_tree('dfs')"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"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": "3.5.2"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
|
|