{ "cells": [ { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "-" } }, "source": [ "# Phylogenetic tree exploration and visualization made easy with ETE" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### What's ETE ??\n", "\"A Python **E**nvironment for **T**ree **E**xploration\"\n", "\n", "Consistent framework to :\n", " - read, manipulate and annotate Trees\n", " - visualize\n", " - implement custom algorithms that use tree\n", "Assists in the automated manipulation, analysis and visualization of any type of hierarchical trees\n", " - phylogenetics | clustering" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "source": [ "### Why ETE ??\n", "\n", "**ape**, **picante**, etc in R\n", "\n", "* A tool to Annotate and Visualise Tree in __python__ (yeahhhh !!!)\n", "\n", " - Bio.Phylo is limited\n", " - dendropy don't do visualisation \n", " - etc\n", "\n", "* Make editors accept your paper (purely based on the fanciness of your images)\n", "\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "\n", "### Today's plan\n", "\n", "- Introduction to the API (reading, writing, traversing a tree, adding features, etc)\n", "- 3 basic examples of what you can do with the vizualisation tools\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Part 1 : Quick introduction to the API" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "['ArrayTable', 'ClusterNode', 'ClusterTree', 'EvolNode', 'EvolTree', 'NCBITaxa', 'Nexml', 'NexmlTree', 'NodeStyle', 'PhyloNode', 'PhyloTree', 'Phyloxml', 'PhyloxmlTree', 'SeqGroup', 'Tree', 'TreeNode', 'TreeStyle', 'WebTreeApplication', 'map', 'range']\n" ] } ], "source": [ "import ete3\n", "import inspect\n", "print([x[0] for x in inspect.getmembers(ete3, inspect.isclass) if 'Face' not in x[0]])\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## Tree representation in ete\n", "\n", " - A tree is a Node ===> the root is a node, so are all the others nodes.\n", " \n", " - Each node of the tree is either an \"internal node\" | \"root\" or a \"leaf\"" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "# ETE read tree from a str or a file\n", "from ete3 import Tree\n", "\n", "rand_newick = \"((((a,b), c), d), (e,f));\"\n", "rand_tree = \"rand_tree\"\n", "with open(rand_tree, 'w') as TREE:\n", " TREE.write(rand_newick)\n", "\n", "# Reading tree\n", "t1 = Tree(rand_newick)\n", "t2 = Tree(rand_tree)\n" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "# Print t1 then t2 in ASCII\n", "# FILL HERE" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "# Traverse tree t1 and add a feature at internal_node\n", "from numpy import random\n", "\n", "# Traverse : levelorder, preorder, postorder\n", "for node in t1.traverse(\"levelorder\"):\n", " if not node.is_leaf():\n", " # add a features : randomness\n", " node_rand = random.randint(10)\n", " # FILL CODE\n", " node.add_features(randomness=node_rand)\n", " " ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", " /-a\n", " /, 1\n", " /, 5 \\-b\n", " | |\n", " /, 4 \\-c\n", " | |\n", "-, 2 \\-d\n", " |\n", " | /-e\n", " \\, 4\n", " \\-f\n" ] } ], "source": [ "# print t1 again with features : name and randomness\n", "# FILL CODE\n", "print(t1.get_ascii(show_internal=True, attributes=['name', 'randomness']))" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "a\n", "b\n", "c\n", "d\n", "e\n", "f\n" ] } ], "source": [ "# iter over leaf and access name\n", "for node in t1:\n", " # t1.iter_leaves()\n", " print(node.name)\n" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[Tree node '' (0x7efbd13d0f6)]\n", "[Tree node 'a' (0x7efbd13d0e8)]\n" ] }, { "data": { "text/plain": [ "Tree node 'a' (0x7efbd13d0e8)" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# search by features\n", "print(t1.search_nodes(randomness=5))\n", "print(t1.search_nodes(name='a'))\n", "\n", "# shortcut\n", "t1&'a'" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", " /-a\n", " /-|\n", " /-| \\-b\n", " | |\n", " /-| \\-c\n", " | |\n", "--| \\-d\n", " |\n", " | /-e\n", " \\-|\n", " \\-f\n", "\n", "SISTER a : \n", "[Tree node 'b' (-0x7ffff81042ec2f0e)]\n" ] } ], "source": [ "print(t1)\n", "# get sister node\n", "sister = (t1&'a').get_sisters()\n", "print(\"\\nSISTER a : \")\n", "print(sister)\n" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", " /-a\n", " /-|\n", " /-| \\-b\n", " | |\n", " /-| \\-c\n", " | |\n", "--| \\-d\n", " |\n", " | /-e\n", " \\-|\n", " \\-f\n", "\n", "\n", "LCA (a, b) : \n", "\n", " /-a\n", "--|\n", " \\-b\n" ] } ], "source": [ "print(t1)\n", "# Get LCA of multiple node\n", "lca = t1.get_common_ancestor(['a', 'b'])\n", "print(\"\\n\\nLCA (a, b) : \")\n", "print(lca)\n" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", " /-a\n", " /-|\n", " /-| \\-b\n", " | |\n", " /-| \\-c\n", " | |\n", "--| \\-d\n", " |\n", " | /-e\n", " \\-|\n", " \\-f\n", "\n", "\n", "FIRST CHILD OF ROOT\n", "\n", " /-a\n", " /-|\n", " /-| \\-b\n", " | |\n", "--| \\-c\n", " |\n", " \\-d\n" ] } ], "source": [ "print(t1)\n", "# get children\n", "root_children = t1.get_children()\n", "print(\"\\n\\nFIRST CHILD OF ROOT\")\n", "print(root_children[0])\n" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "\n", "RF DISTANCE between t1 and t2 :\n", "0\n" ] } ], "source": [ "# RF distance\n", "# t1 and t2 were the same tree ... \n", "# Recal t1 and t2 are the same tree\n", "rf = t1.robinson_foulds(t2)\n", "print(\"\\n\\nRF DISTANCE between t1 and t2 :\")\n", "print(rf[0])" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "\n", "PRUNE t1 to [a, c, d, f]\n", "\n", "\n", "BEFORE PRUNING : \n", "\n", " /-a\n", " /-|\n", " /-| \\-b\n", " | |\n", " /-| \\-c\n", " | |\n", "--| \\-d\n", " |\n", " | /-e\n", " \\-|\n", " \\-f\n", "\n", "\n", "AFTER PRUNING : \n", "\n", " /-c\n", " /-|\n", " /-| \\-a\n", " | |\n", "--| \\-d\n", " |\n", " \\-f\n" ] } ], "source": [ "# prune tree to list of leaf:\n", "leaf_to_keep = ['a', 'c', 'd', 'f']\n", "print(\"\\n\\nPRUNE t1 to [%s]\"%\", \".join(leaf_to_keep))\n", "print(\"\\n\\nBEFORE PRUNING : \")\n", "print(t1)\n", "# FILL CODE\n", "t1.prune(leaf_to_keep)\n", "\n", "print(\"\\n\\nAFTER PRUNING : \")\n", "print(t1)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## PART 2 : Visualization" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "#### First Exercice : simple tree visualization\n", "\n", "Data : a random tree with random branches\n", "\n", "- Tree rendering\n", "- Tree style\n" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", " /-Spec_F, 0.5863992251855649\n", " /, 0.515598957325863\n", " | \\-Spec_E, 0.07997406564804377\n", " |\n", " /, 0.3765376414684153 /-Spec_D, 0.12360744734631923\n", " | | /, 0.637106223815485\n", " | | | \\-Spec_C, 0.36249405416529956\n", " | \\, 0.31923093127179003\n", "-, 1.0 | /-Spec_J, 0.6606178106939081\n", " | \\, 0.4080858466375832\n", " | \\-Spec_I, 0.6531892784233982\n", " |\n", " | /-Spec_H, 0.545709419043339\n", " \\, 0.18321116991400777\n", " \\-Spec_G, 0.2372461704543738\n" ] } ], "source": [ "t = Tree()\n", "leave_names = [\"Spec_\"+x for x in list(\"ABCDEFGHIJ\")]\n", "\n", "# Generate a random tree with leaf name defined by leave_names\n", "t.populate(8, names_library=leave_names, random_branches=True)\n", "\n", "print(t.get_ascii(attributes=['name', 'support'], show_internal=True))\n" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "collapsed": true, "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "# show tree in a gui\n", "t.show()" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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jWB4QEICbm5tM6FmH1fmnbLdMnTqV7777juDgYGOHUmV7c1rzTYYLZWUKG2sL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\nSEISQpgMSUhCCJMhCUkIYTL+P0vEvLWkiWT1AAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# render tree (supported format : png, pdf and svg)\n", "t.render('tree.png', dpi=200)\n", "\n", "# render and show directly in the notebook\n", "t.render('%%inline', dpi=200)" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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KrDycOnUqtLS0uKmQLVu2oHXr1tz+0NBQkU9qZT/ty7rQ0FAkJyeLvB4YGAg9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\nlMHx48cxZcoU+Pj4wN/fP08dOTk56NSpE+7cuQMjIyNER0ejTp066N6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"text/plain": [ "" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# TreeStyle to change the display option\n", "\n", "from ete3 import TreeStyle\n", "ts = TreeStyle()\n", "ts.show_branch_length = True\n", "ts.show_branch_support = True\n", "\n", "# rotate tree\n", "ts.rotation = -30\n", "t.render('%%inline', tree_style=ts)" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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Ts2ZN1q9fz/Lly1mzZk2GEn/L39+f77//nmPHjqmQUoiPIwvLiFznzp079OvXD3t7e1q1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\nIiIiBfw/YtFAOrJSQUgAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Draw a circular tree\n", "\n", "ts.mode = \"c\" #circular mode (default = 'r' for rectangular ?)\n", "ts.rotation = 0\n", "ts.arc_start = -180 # 0 degrees = 3 o'clock\n", "ts.arc_span = 180\n", "t.render('%%inline', tree_style=ts, w=500)" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "['AttrFace', 'BarChartFace', 'CircleFace', 'DynamicItemFace', 'Face', 'ImgFace', 'OLD_SequenceFace', 'PieChartFace', 'ProfileFace', 'RandomFace', 'RectFace', 'SeqMotifFace', 'SequenceFace', 'SequencePlotFace', 'StackedBarFace', 'StaticItemFace', 'TextFace', 'TreeFace']\n" ] }, { "data": { "image/png": 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XCwvrgEqlYsuWDYB18b+oqIG4ualdvkhnsfr2jWHevM+5995RAAwePJxvvplD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\nERDQiv79nzWrmmxKkbn0tTkF5ODgXsjlCjZs2I2joxM7dkQxa1YEUVH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"text/plain": [ "" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Adding face to Tree\n", "\n", "from ete3 import faces\n", "from IPython.display import Image\n", "\n", "print([f for f in dir(faces) if 'Face' in f])\n", "\n", "Image('face_positions.png')\n" ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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3j1oI8WfI77qEqGRSUlJ488032bVrFw0bNqRevXosW7aMcePGMWrUKFavXu3u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\nyqKgoACTycT333/PzJkzWbd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h6JIlNBszxh0vTwghSiWBt5oYMWLEb4ZdsNWwTZkyhQ0b\nNrB9+3YaNWoEgNVqZeLEiWzevFlCbwVltVpp0KABzz//PFOmTCmx/8SJE8THx1O/fn2Z5a3GrFYr\nnp6e7Nixg06dOgGwdOlSvvvuOz755BN27NjByJEjOX78OL6+vgBkZmYSFhZGRkZGqR8zPz2d5GPH\nyLl6FcVgoEajRgTag7EQQlQUsvBENWC1Wlm+fDmvvvrqb4bdBx98kA0bNhAdHe0IuwAGg8FxgVPv\n3r05depUOY1c/F4Gg4H77ruPBQsWOLZdu3aNF154gUaNGtG8eXOefvpp7rjjDsaOHYvFYnHjaIU7\nmc1mzGaz4/nVq1c5ceIEiqLQrVs3dF1n165djv3O9buXf/mF48uWkXb6dNHH8/fH5OUFikLDQYMk\n7AohKiS5aK0aKGyubjAYSt1fGHZXrVpFdHQ0zZo1K3FMYeidOHEivXv3lpneCmjq1KkEBgaiaRrf\nfvstkyZNIicnh6ZNm3LkyBGaNm1KRkYGbdu2ZeHChTz44IOA7ar8rVu3cvfdd7v5FYi/m8Fg4OGH\nH2bkyJFMnjyZ8PBw3nnnHR566CHA9kNSSkoKAQEBjnOcA2/cmjXseuklADwDA6ndoQOhHTuSfPQo\nmsVCo8GDK1QPXiGEKCQlDdWAruuoqsrSpUsZOXJkiX3XC7vOpLyh4jt06BCTJk1i0aJFtG3bljff\nfJN58+Zx4MAB/Pz8mDNnDrGxsaxatcrdQxVu8vHHH7N8+XLy8vIYOXIk999/Pz///DP3338/YWFh\nbNmyxfGD8rhx47jlllsYO3Ys1rw81o8fT8qJE3R56ilSTpwgcc8ezv7wA5acHDxq1KDRkCHc8uWX\nbn6FQgjhSgJvNVG3bl2ioqJYsmSJY6b3j4bdQoWh99y5c2zduvXvHLb4E5577jl8fX157LHHANvn\nuU6dOsybN4/BgwfTvXt3+vTpw2uvvebmkYqK5KeffuLs2bOMHTsWb29vx/bmzZuzatUqx/cHXdP4\necYMLu/axfDvvsO7dm3eCwqi3/z5eNaoQV56Ok1HjHDXyxBCiFJJDW81ER0dzY4dO5g4cSJWq/VP\nh10oKm9YtmzZ3zhi8Wd5enqyYcMGx3OLxYK/vz9eXl6YzWbatWvnWFK2kKZpvPjii+U9VFGB9OvX\nj3vvvdcl7GZnZxMfH+/y/UFRVfrNm0fE7bezpFs34jdtIvfaNRr070+DgQMl7AohKiSZ4a1GTp06\nRe/evbn55pvx8/Pj22+//cNhV1R8ly9fpnnz5jz00EMEBgbyySefEBgYSHR0dJl13EIAfPbZZ3Ts\n2JEWLVoAsHXrVp5++mm2bNlS6vEHP/iATQ8/jE9oKFPPnCnPoQohxB8iF61VIxEREURHR9O7d28s\nFouE3SoqLCyMnTt38tprr3HgwAGmTJnC9OnTMRgM5OTksGXLFvbv34/BYGDKlCkuyw0703W5/qi6\n2bJlC+Hh4Y7A63zBWmlaT51KrchI0s+fL68hCiHEnyIzvNXQqVOnsFgsEnarkWPHjvH666/zzTff\n4O/vz0033cTOnTtp27Yt3zmtiDXv/c+IaNkH1VQDTVfw9Va5IUilYbiHG0cv3GXChAkMHDiQ8ePH\nu3soQgjxP5Ea3mooIiLiT4fd1atXExkZSbt27fjss8/+4pGJv1peXh5PPPEEbdq0ISMjg7Vr13Lh\nwgVWrFjB5s2b+eGHHzh48CAAh+LyaNDyTjy8axLga6BWDQPocPKChR9/yaRAWvdWart37yYkJARv\nb2/8/f1p0qQJI0eOZMGCBVy9erXUc643w+ssftMmzv7ww185ZCGE+MvIDK/4Q9LS0vj5559JSEhg\n9uzZLFy4kHHjxrl7WKIMvXv3JiEhgaVLl9K6desS+5s2bco999zDsBGPci4xnzohJgwGBdVeyqDp\nYLXqZOfpXLlmYVh3P1T5MblS6tOnDyaTiblz56JpGqdOnWLPnj3ExMSwf/9+Jk2axFtvvYWHh202\nPycnh6CgILKzs3/Xx983bx6WnBw6/fOff+fLEEKIP0UCr/jTli9fznvvvUdMTIy7hyLKULNmTebP\nn8/o0aNL7Fu6dCl33303ixavpFb9m6lb24TZqBAbewAPs4nmLVqgaWDVdCwWSMnQMJmga0svN7wS\n8b/Iz8/H29ubmJgYunfvXmL/wYMHuemmm5g3bx6TJk0CYNu2bTz55JPSelAIUSXIRWviupYuXUqL\nFi1o1aqVy/YWLVqgynRfhdauXTv279/vCLwWi4XVq1fzn//8h5MnT7JixQp8wnphUvMxm8yYjQqd\nO7ZFVW0XrVk1sFgBdAJ8FS5etZCWaSXAV7o9VCbp6elYrVZSU1NL3d+6dWsaN25Mfn6+Y5tzOUPC\n7t2svOUW8jMzUY1GfEJDCWnblrq9e9PkrrvwDg4ul9chhBB/lgRecV3z5s3jtttucwm8KSkpjBo1\nis+1zPoAACAASURBVBkzZrhxZOJ67r33Xu6++26sViuZmZmsWrUKq9XKtGnTWL9+Pb5+Abz6/i7W\nr1zAF599iNmkYDKCqihouo5Vs3Vq0HWwWm0fMyNLk8BbydSqVYvhw4dz3333MXHiRPr370/Hjh3x\n9/cHbMtLHz16lHbt2jnO2bNnD/379wdgy+OPE9KuHTfPnYuuaaScOkXinj0c/vRToh95hJaTJtHn\nrbcweMjFjUKIiklKGsR1DRs2jBtuuIGFCxcCcO3aNQYNGkRgYCAbNmyQWd4K7j//+Q+//vor9erV\no2fPnvTv3x+TyQTYwmv0nhR8jRnc2CgcLw8Fs1Hh9Ok49u3bz623DSe/QCe3QCM3Xycx2ULdECON\n60mwqYx+/vlnPv74Y3744QeSk5OpU6cOwcHBnD59mtDQUA4fPuz4eo6MjGTZsmU0jYjgLW9vRsfE\nEF5KOcTVgwf58qab6DdvHi3t5RBCCFHRyAyvuK7nn3+enj174uvry4ABA5g5cyZNmzZlyZIljv8c\nT58+zQMPPMClS5e4/fbbefbZZx2hSrjXo48+WuY+X28VTTcTdkMYqgJGg4LZpNCieWPmvvYKUd26\nExAYgoIC6OTm6fj5yOxuZdW3b1/69u2LruvExcVx9uxZcnJyCAwMpE2bNo6v59zcXE6fPk2LFi3I\nSUpCt1rJLaMcIrh1awIbN8bqVA4hhBAVjUzNievq0KEDu3fvJjc3lyVLlvDyyy+zevVqfHx8ANtq\nTOHh4UycOJFZs2bx1Vdfcf/997t51OL3UBSoGWAgJ09Hsy80YTIqeJgUhg0bynfr14MOuq6jaWAw\nKPh4yreNyk5RFCIiIujXrx/Dhg2je/fu+Pn5Ofbv3buX9u3bA+BVqxZNhg/nh/vuY+uTTxK/aRP5\n6emOY9POnCH56FFCnMohhBCiopGSBvE/2bZtG3379mXQoEEsW/b/7N13eJNl28fx752kewFtWW3Z\nexYKKnuJDKkgU0BxgPKgr6IiirIs7sESkSU+Pi5AEAWKCrI3QplSoEChbAptKZ1pxv3+kdGkLVCE\nNgXOz3GEJHeT9EqA5Nez53Vdi3F3d+fMmTNERERw6tQpvL29XT1EcQNZWVmsWrONdbtSCQnMoU+v\nrlQo64+bTuFaejaP9xnIDz8tJkuvcjHJSGk/DY1rerp62KKIzZgxg2PHjvHFF1/Yj51eu5aD33zD\nqdWryUpKwi80FO/gYK7Gx+NTvjzPHjqEIu1NQogSSloaxL9mMpl47rnneP3111myZAn9+vVj8eLF\nVKhQgerVq6PVyq++S6q8O681b/0YmxK9OHDgAJ9+PAmdFsxmN5o2a8nK39fQqGl7coyqhN37RExM\nDB06dHA6VqlTJyp16gSqytUTJ0g9dQpjVhaepUsT3LixhF0hRIkm71DiX9u1axfu7u68//77rF+/\nntjYWPr168ewYcOoVKmSfQF7UXJcb+e13xbNYvqHL7Jl9xnWbYvn9CUj568YaNriUX5csh43N+jc\n3MfVwxfF5IY7rCkKpWrUoPLDD1M9MpKQ1q1xd2iHEEKIkkgqvOJfS09Px8fHB7PZTGhoKOvWraNu\n3bqULl2av//+u1CPkZWVhZeXbGRQXLp27crFixfZtWtXvp3X2rWogZfxIEf2r6N2jafZHrOP6KU/\nUKOCB7UqZqMo8vd0P8jJySEuLo4GDRq4eihCCHHHSIVX/Gtt2rQhJSWFPn36cO7cOd5++21CQkJY\nt24dFSpUACwfnvPmzeOZZ55h7NixXLlyxX7/H3/8kYYNG6LX6131FO47+/fvZ+LEiQVuM7xo0SJO\nHj9MauI/PDegOct/mMir/4nkf/OnULp0aReMVrjCDau7Qghxl5LAK/41Dw8PNm/eTM2aNXn11Vdp\n3rw5e/fupWbNmgCcOHGC8PBwvv32Wx555BH+/vtvevbsCVjC7tChQ/n444+l9aEY2XZeszEajfzy\nyy889NBDDB06FJ1OR1ZWFosWLWL16tV07drVhaMVriCBVwhxL5KWBnFbypUrx+TJk/Mdv3jxIh06\ndKBz587MnTsXrVZLr169qF+/vj3s/vDDD/Tt29cFo75/5d15bfHixWRkZKCqKq+++irvvPOOffct\ncX+KiYmhXbt2rh6GEELcUbIsmSgSgwYNQq/Xs2TJEhRFASwTpoKDg9Hr9fz4448Sdl1kypQprFq1\nisuXL5OUlMTYsWN54YUXXD0sUUI0atTI3m4khBD3CqnwijsuIyOD6OhoTp48aQ+7AJ999hlZWVks\nWLBAwq6LxMTEsG7dOq5evcrkyZPzLT0l7m8Gg4EjR45I2BVC3HMk8Io7zmg0kp2dTVpaGoGBgYBl\nIfv33ntPwq6L7Nu3jwkTJnD+/HmioqJ49NFHXT0kUQJJ/64Q4l4lgVfccQEBAQwYMIBWrVrRs2dP\ndu/ezd69e53CrslkYu/evXh4eNCgQQOnSrC4cw4ePMiECRM4deoUkyZNIjIy0tVDEiWY45bCQghx\nL5FVGkSR+N///seiRYvIzs7OF3Z3795NjRo1GDlyJI8//jj16tVj+/btLh7xvSU2Npa+ffsyePBg\nnn76afbu3SthV9yUVHiFEPcqCbyiSGg0Glq3bk1ycrJT2DUajfTs2ZPHHnuMrVu3EhsbS7du3ejU\nqRObNm1y8ajvfikpKQwfPpx+/foxcOBADhw4QK9evVw9LHGXkMArhLhXySoNoljt2bOHiIgIMjIy\n8Pb2th9/6623mD9/Pvv37yckJOSWHtNkhhyDik4Lbrr7tzUiKiqK6dOnM2vWLAYMGODq4Yi7jMlk\nwsPDA6PR6OqhCCHEHScVXlGsMjMzAdiwYYPT8ffff5+goCBmz559w/tn56icvWQg5oieNbsyWLEl\nnRWb09gQk8Ef2zP4bVMaf+7IYNuBLI6dySE13VxUT6XE+OGHHyhTpgyqqpKcnCxhV/wrUt0VQtzL\nZNKaKHLHjx9nyZIljBkzhtatW/Piiy8yevRoOnfujJubGwBubm507979uo9x8oKRE+f0pGeY0enA\n11uLl7uCn5eConGu6hqNKiaTyvGzOcTG69FooEoFd6qFuOHjde/8jLd9+3ZeeeUV6tSpw4kTJ2T7\nX3FbJPAKIe5lEnhFkXvvvffQ6/X2659++ik1a9Zk6tSpvPnmmwD8888/zJs3jx07djjd9+R5A/uP\nZePtqeDjqcE/WIcCoChcr3nB3U1BdQNPDwUVMJvhUoqJ+PMGQsvqqF/NA0/3u7f1ITExkZEjR5KQ\nkMCsWbNo1qyZq4ck7gExMTG0aNHC1cMQQogice+Uu0SJtX//fsaNG2e/7uPjw9ixY3n//fdJTEwE\noFq1asyZM4f69esDcCXVyO/bMog9mU3FIB2l/bS4u2vQKAoajYJGAUUBjQIaTZ6T/biCRlHQaRUC\nfBQqBGlJSTOxans6RxL0BY61pJs8eTINGzakZ8+ebNu2TcKuuGOkwiuEuJdJ4BVFrlq1avmWHRs6\ndCg6nY7vvvsOAG9vb3r3fYKUNCPHzxrYeTCLMn4KZUvr0GgsbQu2cJsv6CrOJ8XxuO321vAb4KOh\nQrCOs4lGNu3LdMXL8a9s3LiRSpUq4enpyaVLl3jiiSdcPSRxDzGbzRw4cIDw8HBXD0UIIYqEtDSI\nIjdy5Eh69OhBgwYN7L8y9fT0pFq1apw9exaABX8k8tS4owSV9uLpx8rT5+FAFGvbgqI4nABs51iu\nOO1ZoYKKZeERVQFFtZxbjoOqKKgqBPhoyMhWWbYxjS4tffF0K7ktDsOGDeP48eNs3bqVsLAwVw9H\n3IOkuiuEuNdJhVcUuXbt2jFmzBi6dOlCdHQ0ADt37uTgwYM8/PDDZOeYeWrcUUr5e6LRafhh5SVS\n003XqeIquSeN4lzxtVd389zGelzROIZnBR9PhfJBOv7clo7eUPJW5/v555/x8PCgRYsWbNiwQcKu\nKDISeIUQ9zqp8IpiMXbsWMLCwnj++efx8vIiMTGRCRMm0KNHD1LSjASV9kKj02AymvDw0JJjMNv7\ndG0B1am661TlxX5FUXOvq2Cp7Fqruqq19qsqWK6rlhtVDNLxx/YMerT0QVcC1vG9evUqTz31FN7e\n3qSlpeHu7u7qIYl7XExMDA8++KCrhyGEEEVGKryi2AwZMoRz586xevVqLly4wNixYwFISlUZ0rMc\niqri6aHFO2sbFYPcncOurXqrOPfn5p+o5tzn61j9tVSEFacgban+KgQHaFi3x/U9vTNmzKBq1aoM\nHz6cRYsWSdgVxWLPnj00bdrU1cMQQogiIzutCZe6kmpk54EsggN1pKabMBjMVAh2JzKyB7+vXOnU\nu+vcx3v9ZcnAobqLaq3u2qq6tpPluNl63WxWSU03E1RKS3gtz2J45s4uXrzIyJGvc+KiG8+M+JD/\ne+LWdpsT4nYoioJ8FAgh7mVS4RUu9fchPYGltGgUhTL+OioEuaNR4PeVK4mM7OFcubX25SoOVdp8\nS5LlWaHBsY/XaSUHa9U4t9qrEOCr4WyikaRUU7G+Bl9//TVNmjRh/ZmuxFwbyqgpJ3lz2sliHYO4\nf0n/rhDifiAVXuEyJ88biD2ZbV96zJCjx9PLwxJqrWE0MrIHK1dGoyiW0Aq5lV6gwCqv7R+07V+2\nU2UXFbM597pZVS1VXrOl2putN6M3qHRq7lPUTx+Axx9/nKCgIB7o9h4vfXQcg9GyFbKbTkH/dxvn\nFSgKkJmYyP45c0jcu5eev/zCTe8gioXRaCQrK4vMzEz7ueNlVVVxd3d3Onl4eDhd9/Pzw9vbu8jH\nOnfuXGJiYpgzZ06Rfy8hhHAVmbQmXGb/sWwqBuvs1dZx48bSrFkEgwcPsldebZVeS+h1bm+wzVzL\nG/FUaz+DbXKagmWimtk6Y02jsYRczKCgoEHFbH0cD3eFlDQTF5ONlC9TdP89Vq9eTY8ePfj555/p\n1asXCRey8fXWknLNEngb1PCxZ9erx4+j9fAAQH/tGqknTnD54EFOr13L2S1bKNekCc1Hj5awW0SM\nRiNnzpzhzJkznD592n75zJkzKIpCfHy8U5jNyspCVVW8vLzw9va2nzteVhSFnJwcp5Ner3e6npaW\nhtlsJjAw0H4qU6aM/XL58uUpW7YslStXpkqVKlSoUOFfPT+p8Aoh7gdS4RUucfKCkbjT2ZTx19nb\nD44cjuXddyfSt09va+hV7BPVIiN7sDI62h6OoeAqr+M/ZseqrmOV12zt4bVVes3WHl7LOeSYzGRn\nQ8dmRVNdGzlyJEeOHCE6Oho3Nzf78X1H03l+0jFM2RcolfI569at4+KuXfzwwAOUi4hAo9Ohmky4\n+foSULUq5SIiqPLII5SuWbNIxnm/MJlM7N+/n/j4+AJD7eXLlwkLCyMsLIxKlSrZL4eFhVGxYkU8\nPDycwqyXl5fT3+vtyM7OJikpyX5KTk62X87MzOT48eMkJCRw6tQprly5QpUqVewBuHLlytSpU4dq\n1arRoEGD606AbNasGXPmzJHQK4S4p0ngFS6xZncGXu4KHm4ah75bhSNHYnl34gT69unD4CcHOa2o\n8FhkJCtXWtbxddyEwuHMYbJa7rnjRDWzY+i1hdw8gddsVrmYbKRdEx/8fe5cm/uRI0fo0aMHr7zy\nCq+88soNb9uyZUsmT55MixYtWNG/PxmXLvHEhg1Sxb1NKSkp7N27l3379rFv3z727t3L4cOH6d+/\nPwaDocBQ+28rp8XNYDBw6tQpewBOSEhAr9ezdu1a/vnnH6pUqUKDBg1o2LCh/bx27doyYU0IcV+Q\nwCuKXXaOyp/b0wkJ1pGcnERCwknS066Rk6PHz9eH48fjiF6xgiefHOTQ3mCp7NrbG3Boa8hHLbB/\n15w39Jpze3htQdd2+fJVIzVD3akRdmeWBZs3bx5TpkwhOjqa6tWr3/T2586d48EHH+Ts2bNkXr7M\nt/Xr89C4cTQtICinHDtGzNSppJ46RcUWLWj22mu4+frekXHfzRISEuyhNmbPXvbv20d6ehpNmjQh\nPDyc8PBwmjRpQoMGDVw91GIRFxfHP//8w8GDB+3nx48fp2/fvixcuNDVwxNCiCIlgVcUu7OXDGw7\nmMJ386Zw5kwCnR/uRKVKYQQE+KHPziIu7iiZGem0bPkQLVs8ZJ+wZqv0WkLvSsC5ymvnVNlVnaq8\nljYGh5BrbW2wV3nNYFIhK9uE2azQrunttzX079+fJk2a8Pbbb9/S/aZNm0ZCQgJTp07l6OLF/PnM\nMzx94AClHALzmQ0bWNqjB9V79KDR88+ze8oUDJmZ9F+7FkVzfy3CsmvXLv766y9OnTrFkiVL8Pf3\nJzw8nOq1GvL1n35kqFWZ+MqDjH++kquHWmIYjUYyMzPx9/d39VCEEKJISeAVxS7msJ6Zs77h6JF9\nfPLxh/j5+eQuHWbfGthxKTJyN54gt9Ibba305pW/nSHvmrsFB13bZZO12nsl1UTHZr54/Mt2zAsX\nLvDQQw/x+eef069fv3/1GK1ateKzzz6jZcuWrOjfH/eAALrMm0d2SgqG9HRWv/ACWg8Pev32GwA5\naWnMr1WLLvPnU61793838LtEfHw8f/31F3/99Rdr1qyhVq1adO7cmW7dulG/fn1Kly4NQLlO20lM\nNgAQ4Kvl20l16NUh0JVDF0IIUcxklQZR7FLSjZw4cZSWLVvg4+tj3zbYcVe1rMwMvv3ft+yJ2U2A\nvx/9+vWhQ4cO9irvypXR9olseWetqWDZWth62Wy9gQYVMzit9OC0oYX1Rz/FetBgUsnJMePhduuV\n0l9//ZWXXnqJHTt2UKlS4SqKx48f5+WXX2bWrFlUqVIFgMWLF9O8eXPOnTvHI/PmofPy4tzWrSx5\n5BE07u6Y9HqavPSS/THc/fwIbduWa6dO3fKYS7rU1FR7wP3rr79QFIXOnTszcOBA5s+fT0BAQL77\n5BhUvD1z//4ys1U8PaQPWggh7jf31+88RYmQpVepXasa27dvx5CTAziETgVMRiPjxo3l7JnTTP78\nM5566klmzpzJpk0bnTai+H3lSiIfi7RvSGHfZEKj5G5H7LTZhONJyQ281qoxedf3VRVyjLf+C5Ax\nY8bw/fffc/78+UKFXbPZzPTp02ncuDEBAQH4+fnZv1axYkXefPNNXn31VTwCAtC6u7N/9mxqDxjA\nyykptPnwQ/759luyk5Mtj2UwcH7bNip17HjL4y6Jtm7dyjvvvEPz5s2pXLkyixYtIiIigrVr13Li\nxAlmz55Nnz59Cgy7AO5uCt+9X4cAXx2BfgqDupWlS4syBd5WNZsxZGbmLuAshBDiniEtDaJYmcyw\nYnMaZXwNvD3mLUwmA02bhFOpUii9ej6GRgMbN67ni+nT+PGH7yldOgCNorBx0wZWLF/GtGlT7RtT\n2MJpZGQPoqMtqzc4TVbDYZKarWXB1spgdr5ssvXv2s/h/BUjzet6UiGo8L8Iad++Pd26deOtt94q\n1O1PnDjBs88+y9GjR5k1axa9e/cu8HZt2rTho48+onXr1qwePhxjZibdv/8egNT4eAKqVbPf9lJM\nDHtmzODKwYOUa9aMNh98gFdQUKGfg6vt2bOHn376iQULFtC1a1dq1KhB586dadas2b9+zMspBh5s\n/wxdWwXw1Vdf2Y9f2LmT2O+/58zGjaQcO4ZJr8cjIIB6Tz1Fu08/RefldSeekhBCCBeTCq8oVjkG\nFXc38PLyZvKUyXTt2gWzaqZixQqkZ6SzaNFCYmJ2o9Vq8fb2sgdbdzcdRqPBKewq9kpvNI/ZtiF2\n2laYfBPebD3AluquYu+GyK3w5v6620MH+pzC/Tx44MABPD09iYqKKlTYVVWVGTNm0KhRIypWrMih\nQ4euG3bB0tpg6wNu+NxzHP35Z+J++QVU1SnsXj1+nCVdumDS6+n05ZdkXrrE0sjIEl+1PHbsGFFR\nUdSuXZvnn3+eChUqsGvXLubPn8/bb799W2EXILi0G+0jPGjevLn92Ka33mLV0KEY9XpQVZq89BLP\nnzjBC6dOce3UKda/9trtPi0hhBAlhFR4RbEyGFX+2J5BhSAdWg1orZPUtBr49JOPSUy8SIuHHuCv\nv1bTuHFDxrz5JhoNZGVlcPTIEZo/0AxUM1qtxh5abbutPdqjB9ErogvcaMJsthwz5Vl+zLGya3Ko\n9ppMcDHJQJPaXoQE37jCu3jxYqZOncr69evxsO6IdiPx8fE8++yzHDlyhK+++oo+ffoU6rWbMWMG\nx44d44svvuDg/PmsGzkSU04OfVaupHLnzgCsfflltO7utJ88GbBMYvu6Rg36/vknZZs0KdT3KS4X\nLlxgwYIF/PTTT1y7do1BgwYxaNAgatWq9a8f02g0sm3bNlq2bIlO5/z3NnPmTA4fPsyXX37Jxd27\nWft//8fgHTsAMGRk8HWNGkQuWkRo27aWPukuXRiZnn5bz1EIIUTJIJPWRLFy0ymYbUk0zxoLJ0+e\n5MnBA+nUqSOPRfYgMfGiva/W19eH4OAgxrz1JseOxVG+XDlGjnyFhg0a2B/m95XR9OjRgxUroi3t\nDNZJahoARcGMmn+CmsP3zzuVyWS29IDeyJdffsmmTZvYtm1boZ6/0Wike/fuxMXF0ahRI9LS0jCZ\nTGi1WgDS0tKYNm0a27dvp3z58owZM8YeAF9++WXatm3L5s2baTN0KLX79yf93DmMej0bRo2i/eTJ\n6K9exTckxP793P388A4ORjWbCzW+opaenm4PuUePHmXgwIF3dJcvo9FIp06dmDdvHlevXsXPz4+h\nQ4cCEBERwQ8//ADA5f370Tjshubm40NI69acXr+e0LZtMVp7eVWz+b5b3k0IIe5F8k4uip2nuwaj\nKf8vFho3bszK31eiz9FTqnQp6tatY+/TTb2ayvjx46hRozpLFi+mU6eOTJoUReq1q04tDPb2Bk3+\ndgbInaR2Q/bVGhTcbvAj4bhx4zh69Cg///xzoZ+7TqfjyJEjpKSk8PbbbzNv3jwWLVoEWHbK6tix\nIytXriQqKoq6devSokULzp49a7+/Y2uDu58fZerUYc/06aSfPw9Aw2HD2DdrFidWrMCQmcmmt95C\n4+ZGuaZNCz3GovD333/z5JNP8sADD7Br1y4mTpzI+fPnmTx58m2F3bS0NDZt2sSUKVMYPHgwjRs3\nxmg0MmLECBYuXEiydTIfWAJvTEwMAOWaNuVSTAyZly8DkJmYSEpcHIH16qGazUQPHEjTV1+VsCuE\nEPcIaWkQxW7rgSzMZstyUVotaK0tDVmZGYwf/w45+mzq1q1Nvbq17RPZoqNXcGD/XqLenWhfp/eD\nD96nTZvWdOjQwf7YqnVdsu6P9mDF8ujctXUdN5ZwbGUwqfbrJjOYTLlr8SammGjf1Btvz/wBediw\nYVStWpWxY8fesddl5cqVzJ49m19//dX+6/gePXpQp04dPv/8c/vtvvzyS44ePcqMGTMA+OOZZ1DN\nZrp/9x0AF3bsYOvEiZxavZqAqlXpv3YtAVWrsmfGDHKuXeOhOzjmm1m4cCHTp0/HbDbzyiuvMHjw\n4Dv22C+//DJfffUVXl5ehIeHExERQUREBEuXLiUkJISZM2fmu0+jRo348ccfadiwIetfe43Y77/H\ns0wZrsbH0+CZZ3hk7lwUjYZzW7YQ0rr1HRurEEII15LyhSh2ZUtryciy/opdxV5R9fX15fPPPufx\n3r0JDg6matVqGI1GAIwGg3UpMesSYqgkJV3G19cHBZU//liJ0ZBjndSm8Lt1nV77ZDSg4G2IHVh3\nrFCxBGAFtcCwGxkZSYsWLe5I2D1z5oz9cmZmJsnJyU69p7179+bkyZNO9/m///s/Dhw4wKZNmwAI\nHzGCo4sWcWTBAuJ//529X33FmQ0bqDtoEE/FxBBQtSoAZcPDCWnV6rbHfDMZGRl8+OGHlCtXjmXL\nljF16lR27tx5R8MuQN++fenYsSPu7u7UrFmTyMhInnzySR5++GF7JTcvxypvh6lTGbh1Kx2mTWNY\nXBxdvv7aXtGVsCuEEPcWCbyi2JUtrUNvUHOXDiN3GTE3d3e6de3G008/Tf369XjjjTc4d/Ys7Tu0\n58iRw0z/YjqHY2P55pv5ZGVlERHRlKzsTLZt3cLVq8kOa+4qrLT29NpXYsgzjoK+v+1yWoaZigVM\nVmvevDnDhw+394Xejl27dlG3bl1OnDgBQJcuXThy5AjfWSu1ANHR0XQvYMc0x9aGCg8+SK/ffmPP\nl1+yYdQoFEXhiU2bePTHH/G07jYGENqmDWHt29/2uK/nwIEDDBs2jHLlypGRkcHBgwdZsGABDz30\nUJF8v3bt2vHXX39x6NAhGjVqxJgxYwgLC+P333/nwIEDmEymfPdxDLwAZWrXplr37k4rXQghhLj3\nSEuDcIkVm9MoG+iGm62lQWtZsUGrVdBpLMeupV3l6SFPMf/ruYSFhnDlyiU2bljPunVrSLuWyief\nfESd2rXsG0iAw6oMam7bQrfuj7JsWbTTagz2VgbHlgYTGK3n568YadnQi6BSWvuYK1WqxNKlS297\niSxH/fv359KlS2zYsAFFUYiJiWHUqFEsWLCAChUqkJycTJkyBW+U4LjqgCv99ttvTJ8+neTkZF55\n5ZU78sPAvxUXF8ePP/7IpUuX+OSTT/JtSLF9+3ZGjRpVqEmG1xISuBQTQ5m6dQmsW7eohiyEEKIY\nSOAVLnHwmJ7EVBOlfHP7eHXWwGsLvhpFZfgLz9Oy5YP8Z/gLpKen8r9v/8vOHduYOHECTZs0tk5W\ns7Q5qFhm6aekpBJQqoy9F9dkUunWvQfLlq/AZHLu17UFXdsxozUAX7lq4pEHvNFqFVJSUihXrhwn\nTpwgLCzsjr4Oly9fpn79+rz88ssEBQWxePFiNm/ezMSJExk3btwNV20Ay0YXUVFRtGvX7qbfK+nw\nYfZ++SVnN22iYosWPDxzptNKBbfq66+/Zs6cOYSGhjJy5EjaF2H1+FbFxcWRnJxMeHg4np6eptUI\n0gAAIABJREFU9uN6vZ6AgACys7Odbm8LtxdjYrhkPWVduYJ/5cq0/eQT6gwYUNxPQQghxB0kgVe4\nREaWmbW7M6kYpHOauGav8FqDb3z8cd5/L4qQkAqcP3eGKpUr8frrI6lSuZL19rmBd/PmzcybN59L\niZdp174jL770f2g0bvZQ2637oyxbHp2/umtSMTpUeZNSTVQqr6NOZQ8OHz5Mq1atuHTpEm63EQ5v\nZMmSJfTr14/69evz5JNPMnjwYMLCwjAYDLRs2RKtVsuMGTPYsGEDH3/8Mfv37yc0NBTIDcyJiYnX\nfXx9aiqb3nqLf/77X+oMHEi5pk3Z+fHH1BkwgA5Tp97yeBcuXMg777xDp06dmDhxon0srmAwGEhP\nT6e0tXUjIyODxx9/nA0bNlC9enUAZs+e7fQDQYMGDVi0aBH169fnt169OLdlC1lJSQRUrUq5iAjK\nNW1qOY+IwCsw0CXPSwghxJ0lgVe4zO7D2aRmmCjtq80NvQWcmww5nDgeR6lS/lSvVsWpCmzbvGLu\n3LmsW7eOYcNeIKBUab6Y8RXVqtdg1Kg3naq43br3YNmyFZaAW0DwNZnhXKKRHm182LRxAy+99BKx\nsbFF/locPXqU2rVrOx0r7KoNX331FYcOHSpwVYIrhw7xa2Qk3sHBdPn6a4IaNgTg7KZN/NypE0OP\nHi10/+rKlSt55513qFevHh9++CFVrZPhXOnZZ5/Fy8vLvl3w+++/z8WLF/n000/x9vZmy5YtPPHE\nEyQkJNjXOn766afp1KkTQ4YM4fT69ax7+WV8Klakd3Q0Wnd3Vz4dIYQQRUQmrQmXaVDdg/RMs33X\ns7znqgqqGdzcPajfoCGVKlfJdxuTWWXK1Ols2bKVTz79jA4dOtK4cRNeeeUVNmzYxJGjR609vZbd\n1ZYvX0H3R3ugWndey911zXJ+OdVAg+oeLP55Ee+9916xhF3AHnb/zaoNL774IrGxsWzYsMHp+JVD\nh1jUvj21+vZl4Nat9rALlslaZqORywcP3nRsGzdupFWrVsyaNYvvv/+eBQsWlIiwCxAeHs7u3bvt\n1/ft20e1atXw9vYGoGXLlqSmprJ//377bRwnrlXq0IHBO3eims2sefHF4h28EEKIYiOBV7iMp7tC\n7cruXE03OYVO27nJ8bo5/7nJrLJ48VJ27NjFe+9/RIWKYRitE8/S0jLx8fElNLRSvvvZQq8p7/cz\nqShoWLFkJsuWLWPdunXF+nrcqVUbbH7t0YNaffrQ7tNP0TiE5uzkZJb360f1yEhqPPbYdccTExND\nly5dmDhxIp999hnR0dE0atTodp/mHRUREcGBAwcwGAwA1KlTh0OHDtm/bjab8ff3x8vLy+k+jis1\nuPn40POXX6j5+OOo1pUdspOTOb99O6nx8cX0TIQQQhQlCbzCpepU9sDdTSEjy1xguLVPMHNoSzBa\nJ5edPHWa/333I6PfepvgshUwGFUMJpWLF68w7YsZDHpyCG7uHtb7OZ+WLY+me/ceTtXiC0lG1v32\nKQkJCSxYsKDYX4vmzZvTvXt3nnvuOVRVxd/fn9WrV/PNN99w4cIFwDJRbOjQocyYMYMPPvjAft+g\noCAmTZrEiw5VSo2bG6Wsfaw2p9eu5X/h4bj7+dFj4cLcLegcHD16lD59+jB8+HBGjRrFhg0baNmy\nZRE969sTHh6OwWDgww8/ZOHChTRs2JCEhAT71wcOHEiDBg2o67DKQt7AC5AaH09mYiL6a9fYOHo0\nM8uWZemjj/Jjy5b8PmQIZut60EIIIe5O0sMrSoRlG9OoUNbNuiSZY3+u4jSpTWM/h9mzZhEff5yp\nU6fYHycpKZkxY96mSpVqjH7zTUxmHFZryB+gu1snsl24YmTRN+OpX6scY8aMcdnrcLNVG2w2b96M\nyWTKtzJCx44dGT9+PB06dGD3lCns+uwzHl++HM8yZdg6cSJxS5bQYtw4HnznnXzb5qqqytixY1m6\ndCkffvghvXv3Lo6nfNueeeYZTpw4QXp6OhkZGRgMBuLi4nBzc2PXrl00atQIDw8Pp/vUr1+fxYsX\nU69ePU6vXcuSbt0oGx6OPjWVq8eP88jcuTR87jkAfmrdmnpPPkn4iBGueHpC3JTJZLL3qAshCiaB\nV5QI2QaVVdsyCCmrQ1NA6NU4nVtWZtiydTMzvpjO9OnTCA0N5cKFC4wfP4GwsEq8NeZttBodJjW3\nUmzfVtg6Oc0WhHv1e4G2zcvTuW09nnnmGVe/FNddtaEwkpKSqF27NleuXEE1mfj1sceI//13dJ6e\n1OrXj5YTJlCqRo1895s/fz7PP/88CxcupH///nf6KZU4Q4YMoXPnzjz11FNEDxyIu78/j8yZw7Z3\n32X/nDmMsFbUAXZ+9BHnd+zg8WXLXDhiIQq2ZcsWXnrpJVatWkX58uVdPRwhSqz8W0kJ4QKebgpd\nW/rw5/YMgktr8XRXABVUBVVV0VrPNSqYzQoajUqLFq3Zvn0nL/3fqzRt2pQDBw7QqdPDPPvss4AG\ng8naHlFQ6LVWeC8lGdm8ej5/b/61xAS9vn37cuTIkXyrNhRGYGAg77//PiNGjGDWrFk8vnw5SUeO\nEFClCm4+PvluHxcXx3PPPUedOnUwm813YvguceXKFYKCggp9+6ZNm7Jnzx6eeuopDJmZ9pUqGr3w\nAglr1mDMzkZnXb9X6+5e4GsnREnQrFkzKlSoQIcOHVi/fr2EXiGuQyq8okQxGlXW7clEp0CAnzZf\nG4NGsVR5FesWwgAro6NJOJ3Aww8/TO3adSyrO1hXZVDtqzqo+dobzl8x8FB9L8oF3n0/9125coVZ\ns2axYsUKAgIC+PbbbwkJCbF/vVOnTowdO5aOHTte9zHGjBnDr7/+yjfffEOrVq2KY9hFIiEhgSpV\nqtCqVSteffVVIiMj87Uw5LV582bGjh3Lpk2b2D1lCgfmzeOpmBjcrKs72Fzas4eFbdrQb80aKrZo\nUZRPQ4h/LTs7m169epGQkCChV4jrkMArSqS9cdmcSzRSxl+Lp4e1lUFRUDSWoGvbbMI250pRLOEW\nLDuu2UOvfVKaap+clnjVgKJqaNvEG2/P/JO2SjKz2cwXX3zBxIkTiYiIoG/fvvzvf//DbDazY8cO\nex9fcnIyNWvWJCkpKd9jrFy5kmeffZZRo0bx1ltvFfdTKBKBgYGMHz+emJgYVq9ezYMPPkjLli2p\nUaMG5cqVQ6vVYjKZaNOmDWBZ8i04ONjS85uZyeKHH+ZqfDzPHDyId3Cw/XFzrl3j2unTeAUFoU9N\npcy/qLoLURwk9ApxYxJ4RYmVlGpiX1w2WXozQaV1uOsUNIqtuusceB3lBl5LZVe1ht6kVBNZepUG\n1TyoHlo0u6YVpWvXrtGnTx9iY2OZOXMmvXr1sh+vXLky06dPZ8iQIfbbz5kzh7179zJ79mwAUlNT\nee6559Dr9fz3v/8l2CHY3e06d+5M27ZtGT9+PMnJySxfvpz169dz6NAhzpw5Q3Z2NmFhYfzzzz/2\n+9StW5dff/2VOnXqoJrNnFm/nqBGjZwCr83WCRNIPXWK7g5LxAnhCqqqohT0xgeMHDmSGTNmULt2\nbQm9QuQhgVeUeBeTjcTG68nINuOmU/Dz1uDlrrGEXQXyvvXbAq/JDGnpZjKyzWh1UK2iGzXD3NFq\n7q6qLlhC7SOPPIK/vz8LFiwgMM+Wt/Xq1aNLly5MzbNV8MMPP8zbb7/NgQMHiIqK4ptvvrlrVl+4\nFWPGjOHo0aP8+uuvhb7Pk08+Sbdu3Rg8ePBNb6uaTCgyC1642IYNG5gwYYK9lcnRa6+9xo8//sjK\nlSsZP368VHqFyOPua14U953yZXSUL6PjWoaZxGQj5y4buZRhxGhSAQUFcNNZ1uY1mS1HdDpAhYrB\nOhoFe1DaT4NWe/cFXZuRI0eSkZHBpk2bcHfY/tZkMvHaa6+RlZXF2LFj891v2bJldOnShQceeICr\nV68W55CLVUREBD/99NMNb3PkyBFKlSplDwC29XgLE3gl7IqSoFmzZqiqSpcuXVi1apU99NrC7tq1\na2nYsCG//fYbvXr1kolsQjiQwCvuGv4+Gvx93KkR5o7eADk5ZnKMKjlGFb1exc1Nwd1NwU0H7jrN\nXdefeyNubm5UqlTJKeyeOHGCZ555hgsXLrBmzZoCVynw8fHht99+u6UVDO5GzZs3p3r16uj1+utO\nWPvPf/7DU089xdChQwFL4P3tt99u+LiGjAyykpLQ6HT4Vqx4x8ctxK3w9fXljz/+oFu3bvbQ++67\n7zqFXQBPT08JvULkIS0NQtwFdu/eTcuWLZk3bx6RkZHMmDGDTz75hJ49ezJr1ixKlSrl6iGWeHkX\n58/IyKBcuXKkp6fbj5kNBo4vX87Rn3/m/LZtpJ09i6LRoJrNBFSrxsDNmyX4CpdLT0+nW7duxMXF\noaqqU9h1ZJvIFhkZyUsvveSCkQpRckjgFeIu8dFHH/HOO++g0Who164d48aNu+GyY+LmateuzYoV\nK6hVqxan168neuBA3Ly8qNmnD2Ft2xLUqBH+YWHoU1P5qWVL6jzxBC3ffdfVwxbCHnqzsrJYu3Zt\nvp5eG6PRiE4nv8wVQgKvEHeR48eP4+/vT9myZV09lLtGRkYGSUlJ6HQ6Kuapzg4aNIjIyEgGDhxI\n9MCBZF66RN/Vq9EUEBC2RUVxYccO+vzxR3ENXYgbsoVeg8Hg1NMrhMhP4+oBCCEKr0aNGhJ2b8Jg\nMPDLL78wYMAAwsLC8PX1pWrVqoSEhFC9enXOnz9vv61t4hqASa+nXEREgWEXIPnoUfSpqcXyHIQo\nDFtPr5ubG126dCFV/n0KcV0SeIUQ94z169cTFhbGG2+8QVhYGDNnzuTkyZPk5OSQlJSEm5sbc+fO\ntd/eMfCWDQ8n7pdfyE5JASDryhUS1qxhW1QU/wsP58LOnbQYP94lz0uI65HQK0ThSEuDEOKeMXDg\nQC5dusTq1asL7FuMiopix44d/GFtS0hLSyMkJIRr166Rfu4cP7VqRXZyMigKOdeu4RUYSOWHH6Z6\nZCS1+vZFe5Mti4VwFVt7w9NPP82wYcNcPRwhShzpZBdC3DP0ej0RERHXnaRz9OhRpwqYn58f5cuX\n59ixY9SsWZPn4+O5duoURr0er6CgAnddE6Ik8vX1Ze3atU5LFwohcklLgxDinhEeHs4vv/xCirUt\n4cqVK6xZs4aoqCjCw8PZuXMn4/O0JTi2NSgaDQHVqhFYt66EXXHXkbArxPVJ4BVC3DOGDh2K2Wym\ncuXKBAQEEBwczBNPPMHhw4cZPXo0sbGxdOvWzek+joFXiLtdZmamq4cgRIkkLQ1CiHtGSEgI8fHx\nnDp1Cr1eT1BQEME3qdQ2bdqUDz74oJhGKMSNJSYmMm7cOGJjY+nYsSNRUVEoSuF2jZw1axbTp0/n\n4MGDuLm5FfFIhbi7SOAVQtxTNBoN1apVK/TtpcIrSoqsrCzatWtHhQoVGDhwICEhIbcUdl977TV+\n/vlnCbtCFEACrxDivhYQEEBQUBAnTpygevXqrh6OuI9FR0cTEBDAqlWrbim0Oobdxx57rAhHKMTd\nS3p4hRD3PanyipIgPT2djh075gu7qqry/fffF3gfCbtCFI4EXiHEfU8C7/3NXEJWo+/SpQtz5sxh\n9+7dTsdTUlIYMmQIiYmJTscl7ApReNLSIIS470VERPDRRx+5ehiiiOgNKlfTTGRkqaRnmsjIVsnS\nq+QYVAxGMxpFQdGAh5uCp7uCl6cGPy8NPl4aAnwt58WhYsWKjBs3jq5du7J27VoaN24MwMWLF9Fo\nNE7rS69YsULCrhC3QHZaE0Lc965evUrVqlXt6/eKu9+1DDMXrhg4d9lIWoYZDw8Fs1lFp9Og0yq4\naVS0WgWd1jIpzGRWMZnAYAKTSSXHZPloNBrBTQchQTpCy7lR2k9LIeeR3VBsbCwLFizA19eXfv36\nOU20fOedd5g9ezYLFiygfPny9OvXj9atW/PNN9/Yb5Odnc3u3btp3br17Q9GiPuABF4hhACqV6/O\nX3/9dUsrPIiSJTNbJf6cnoSLBoxGcHdT8PVS8PDQkJtRFWxXbMecPgQdPhJV6x9Gk0palkpWlhlV\ngbCyOqpV9KBMwL+r/O7du5dWrVrxwgsvkJ2dzXfffUdUVBSjR4+232bNmjXMmDGDixcv0rVrV8aO\nHSsbSwhxGyTwCiEE0L9/f/r160e/fv1cPRRxi7L1KodO6jmbaMDHU8HXR4ulcKs4VWMLW5l1/FRU\nHQ7YAnB6tiX8+npraFTDk9L+txZ8n332WSpVqkRUVBQAU6ZMYdSoUaxZs4ZOnTrd0mMJIQpHJq0J\nIQSWDSj27Nnj6mGIW2A0qew/ls3KbekkXzNRIUhHgK8OnUZB0ShoNKBRsJzbLt/gpFhPttsq9uOK\nwwl8vRSCS2tBgY17M9i8L5O0LHOhx20wGBg6dCgA69atY/z48Xz00Uc0a9aMP//8s6heLiHuaxJ4\nhRACWanhbnPsdA4rNqdzMdlEpXI6Svlp0ShKvnCr5L1cwEnR5Lmdw/1sAdgx/GqswdfLQ6FikA6j\nCdbszGDv0WzMhci9vXr1IjIykqVLlxIZGcn48eMZM2YMS5cuZeLEiUX/4glxH5LAK4QQSOC9W5jN\nsGFPJicvGggpq6OMv9YaQvNUcp0uK5aTU6U296SxnTSKPdg6V3jznzsGXx8vhZBgHUnXTKzcmk5q\nuumGz6Fv375UqlSJPn368MYbbzBmzBgAkpOTkS5DIYqG9PAKIYRV1apVWb9+PVWqVHH1UEQBrmWY\n+evvdMqW0uLpobG3GNhP5IZRsE5KyzNBzX4lzyef41WnHl5b/66a28PreJ57XLVfP3/ZSNM6nlQu\n70Z0dDR//vknlStX5tlnnyUoKAiAjIwMevXqRWJiIqtWrSImJoYBAwYwe/Zsnnzyydt/sYQQTqTC\nK4QQVlLlLbnOXjayZlcGYeXc8PLUWqu216vkFtC3m++2Du0M16nq2sJzbiUY54Cdt88Xy/WKwTr2\nx2Xz5Td/MWDAAMqUKcOOHTuoXbu2vUfXx8eHP//8kxdeeIFBgwYxadIkZs6cKWFXiCIiFV4hxH3t\n8OHDbN68mS1btrBhwwbmzZtHly5dXD0s4eDwST3Hz+ZQPlB3neCpOFV4HVYeK/yauWpuldf2qXi9\nii6o+Sq+qppb7VVVlV1/72LfoZOU9vfk0/EDAJg7dy4jR47k999/p0OHDrf5qgghboUEXiHEfeXv\nv/9m8+bN9pBbtmxZ2rRpQ+vWrWnbti2VK1d29RCFg6Onczh+NoeypbT2Hlvn1RPytjNY7qdYU2++\nvHujdgYVVHJbGPKeOwdcNfd6ntB77do1XnzxRQwGI4Offp62bTvwcHNvAGbOnMmnn35KXFwcHh4e\nd+plEkLchAReIcQ9LTExkaVLl7Jnzx6+/fZbmjRpQps2bewhNzAw0NVDFNdx7LSeY2cNBDuE3dyV\nEgpoL7Ctu+sYdAsKvVaq/Q/r9XyVXfUGgRfMJjNbtm7h6NE4ygQG0q5dewICSqGqcPbsWcaMGUNQ\nUDDvvvcpHu5a2oRbQm/Hjh15/fXX6dGjx518uYQQNyA9vEKIe86pU6eYMmUKrVu3pmHDhuzfv5/B\ngweTkZHBzp07+fzzz+nZs6eE3RLsQpKR2FM59rCb23erFLC0mG2VhQL6dm+w5q7tNo7r715vJYa8\nvb2XLyfy6qsj+fXXX6lYsQI7d+xg0qQoQEVRIDQslI8//pgrVy4zf+4M0jIN7I/TA+Dn50dycrJr\nX2Ah7jNS4RVC3BNiY2NZunQpS5cuJSUlhd69e9O7d29atWrl6qGJW5SVrfL79nQqldPZw65lXVwl\nz8QyJV+VF/K0NdjYLjrvI+zcp8uNWhlyV2FIS0vn1ddeo0b1Grz++ii0Oh1ms5m0tHR8/fxy+3kd\nKr2BgUE81LYHKWe3s+SnGRw5coSKFSve8ddOCFEwCbxCiLtWVlYWc+bMYfv27fzzzz/2kNukSRNX\nD03chmWb0ylXWoObTpMv7OZWYQtekgxFKdSEtfzbB1vj73WXHbNdVpk372tOJSTw7sR30Wi0Dv27\nKmazCoriFHrPWEOv0WiiZ59hDOhehQeb1S+CV04IcT3S0iCEuOts3bqVIUOGEBgYSEJCAu+//z6H\nDh3ivffek7B7l9t2MJMAHw06rcZhx7PcdgXHsJvbsqA4L0mWpz2hwHaGfNsH2x43f9U47zJlO3fu\nYPgLL6DTaZ3C9pkzZ3juuWfp07s3o0e/QXz8CRQFwkJD+fijj9DptCRdOsKlrEqYCr8TsRDiDtC5\negBCCFEYOTk5zJkzhzlz5lCqVCmGDx/Od9995+phiTvoXKKBlGtmypbROYdZJfeyki+oXn9JMsD5\niup8SFXgwrnzfPf995w9c5aHWrTgiScGolEU21oNufdzaIlwd3fn0qWLhIWFoSiQlpbGzz8vZvny\nFTR/4AE6dOjAtm3bmTB+PLNmz8bPz5+wsDA+/ugjxox5GxOehAYPpWkdzyJ6JYUQeUlLgxCiRNu7\ndy9ffPEFP/30E8OHD2f48OHUry+/Dr4XLd+cRrkyOnRaS0VX6zhZzVrltQddW28vDv27tpUa4PpL\nM5C7lu6ZM2d4/fVRdOzUiWYRzZg6bRovvfgSDz70kNOaunnX2l0RHc13331Pu3btyM7Ws3nLFgID\ngxjxnxE0atTYfr/PPvucevXq07VrN/v9T585w5gxb/NA6x7M+ngIft7yi1YhioNUeIXLqSoYTeAm\n/xqFg127dhEVFYW7uzuPPfYY//3vf109JFGETpzLQesYcm0tBJrcFgTFIfzmazVwXHf3JkuRWZbi\nVfj666/p0qULw4YNRVWhfft2pKVdIyMjHR8fX1AtFWRbb6/tQSN79ECr0bJq9Wp0Oh1Dn3uOzp0f\nQavTWcK0tYwUXDaYjMwMp7V/w0JD+fjjjzh5+hIHjufQqpFUeYUoDhIxRLHIzDaTkaWSnmUmLctM\nRpaZzGwVvd6M0aziplPQ56i46cDLXYOHh4K3hwYfbw2+nhr8fTT4SiXkvrB9+3YmTZpEUlISEydO\n5NFHH3X1kEQx2Bent6zK4LQkWO6WwY5hV+MYhB229L3R+ruqQzuDqoCiQkLCKQY+8QSKonDkyBFW\nr/qTUqVKM3fuXB7p0oWhQ4dZg7Q1sVpDb1qGiXYdH6Fbt272aq6t+mv7JmfOnCV6xQo++ODDPBVn\nhbDQUEJDQjl3xUjKNSOl/eWjWIiiJv/LRJFJTTdx7rKRs5eN5ORYPgkURUWnVXDTKbhpwctfg1aT\n+7FkMoPBaEafA5nZJi4mGzGbVcyqgk4DFYN0hJZ1I7CU1lVPSxSRLVu2MGnSJNLT05kwYQJdu3Z1\n9ZBEMTl2OgdvD2s/rn1d3dxAm7etwbF313Y7W8DNDZfOzbt5Misq0OKhB5k6dQpt27Xjt9+W0a1b\nN5577jlOnz7DO2PHUqlSJR55pIv1kSz3Wrk5mblLL2I2qYwcFEL7ZqUABX1ONu7ulp3TLpy/wHuT\nJtGiRQtq166F2aHqi+2xFJXSfhoOxhtoGy4fxUIUNenhFXdU0lUTZy8bSLhowGAEby8FPy8Nbrrc\njwznCzfhMGfEZFJJy1LJyDJjNkNYOR1VyrsRXNoywUXcnbZs2cKECRMwGAxMmDCBzp07u3pIohiZ\nTPDHjnTKldZa2hm01rYGh/YGrUMItrQ25OnnBctyZDdpZbhy5Qrr163HYDTw4IMPUalSJTZs2Ehy\nSgqbNm5i2rTp9l7bLVu2sPqvv5g48V179fZqmpGnJxzFYDCjqqBoFRZ+WJfLl88zevRohg17nosX\nL7F4yRLCw5swevSb6KxtDnm3H1ZVFbMKV1JNPFTfi8AA+SFeiKIkP1aKO+JikpF/TujJNpjxcNNY\nQqjiXGjJ/0F0k08nVKev63QKpf0USvtqUIGMLJVdh7PRKFC3mgdVK7jd0eckilZiYiIvvvgi/v7+\njB8/ng4dOrh6SMIFLiQZUFAdKrbOlVtbwFXyhF3HCrCt68D2dpF3/V1VhXNnz/L6qFG0a9uOuvXq\nEfXuu3To2IEhQ57mwoWL/LJkCUlJVwgMDAIFjh07RoC/f/61fNXcb6TB8lYVFhrKG2+8wYoVK7h8\n+QqDBg7k8cd7A7mrPeTdxtg2Ti93hVMXDBJ4hShiEnjFbbly1cS+Y9lkZKkEBWjw89EVHHIVpdBF\n3dw7Kk5Xbbsd2Q77eiv4elkWfY+Nz+bAsWya1PKkUnkJviVdVFQUX331FV999RV9+vRx9XCEC525\nZMTbU1PAureKU+jNG3Ydg7DTSg0FUICFCxfQvl1bXnzxRcASUke++iqpqdd45ZVXaNq0Ce+9N4nX\nXnudP/9cxarVq5kyZYrTb6UCfDWEeO3hbEZj0Ci8NCAEHy8NqgrNIiKIaNoUc55qbt6l0HKvKKiq\nio+XhtMXDUTIEmVCFCkJvOJfuZZpZl9cNkmpZgL9FfwCtflnR+cJuTfa9ahQ1DwP4hB+g0vpMKmW\niS+H4vU0reNFuTJSMSlpli5dyogRIxgxYgSXLl1y9XCEi6kqXEgyUqmc23U3e3Cs+DqG3Xw7rdlW\naijo+ygqV1OSad26lf0tpGrVKoSFhrJz5w5++SWEN0aN4pelS5k16ytKlSrNlMmTqVy5MrauP7PJ\nzOO9erFs+XKuphlRFPDx0jrt2GZ5z3Pow7J9f2vPrsMBy81z70ZKmpnSftKbJURRkcArbtnBY9mc\nvGDE30dDxaA8QfcGITffPBLH43kU1FiuOBy3XHaelKJVoHyglhyTys5/sggspeWBep72/mHhOseO\nHWPEiBEEBARw8OBBypYt6+ohiRIgKdWEbc6qbWUGS7U2T1uDQ8W3oJUaFBz6dx3+u8ceimX9hg28\n+OKLPPDAA3zzzXzq1K5NmcBAFiz4ibCwUP4z4j9MmvQeHTp0oF+/fvTt189pW2BQMJvq+xV4AAAg\nAElEQVRN9Hq8F8tXLEdVIcBXZ+/DzbuxRd65afaz/HnX/kUvTw1nLuVQ2k+qvEIUFZm0JgrNZFJZ\nF5OBRlHw9dZcN+g6hdy8gdfpQoFXgQICb96iicMHi+r4NVW1/ypRn2PmarpKq0aeBAbIz3au8u67\n7/LTTz8xa9YsOnXq5OrhiBJkf1w2iakmyvhp0Vonq9nW4nW8rrGfWy9bw27eKi/kvp8cio1lwoQJ\nqCosWrQIUJgyZQq7d8dQsWJFzp47R1TUJGrUqMnXX8+nQsWKdO3a1SnsWibLmunZsyfLli3PN/nM\n7LAcmfP9VOvXnSep5X1ss/W4wWBZsrHLQ74u+XsQ4n4gKUAUSvI1E+t2Z1IuUIu7znE2tJL7QeP4\ngXO9yzbXnciWe9wx3BaqAdih5UFBxdNdQ7kysGVfNo1qelC1ovT2FqeYmBh69uzJxIkTiYuLc/Vw\nRAl0MdmEv0/+PtwbtTdoHMKuxl7hdf7hOjY2lncnTqBPn96cOH6CixcvEBISyug33uDY8eMkJl6m\nXr16+Pn7o6pw8eIFypcvb11zN/fHbVsbw/LlK5yrufaWhNx3KjVPpdfydcdD+dsabF/X6RT0Bst6\n5d6e0tYgRFGQwCtu6uR5A/visgkrp3Oq6iq2cJkn3BYYcpX8mVUp6KDT163VW8cPCci3r72i5KkI\n24Ov5Wj5IC3/nNBzNd1Mk1oeN3/C4raNHz+eP/74g507dxISEuLq4YgSKFNvqXi66TS5bQy2c8c2\nhXyhN+96vLn3AWvYfXciffr0YdCgQcybN49Dh/4hNDQUgJo1alCjRg0SEk5z+PBhDh2K5eDBA4wY\nMcL6pmN57zCbzfTqldvGAOT/TRPkvtddr2XBehtbW8P12rXcNCrXMiTwClFU5H+WuKGDxy2TwCoG\n63IrMChOYbfAykzeY9b7OJ9uUNXBcspdYF6x9vAVMFElzwdi7kmxf2iWK6MlMdnA5n1ZLnst7wcn\nT56kUaNGeHh4sHv3bgm74roMBhW90Wy54vheQN73EcX+/zm3uusweU3jsHKDAiuWL6NPn948OXgQ\nigL16tVjx/btlkBsOwHbd2xnxpcz2Ld/H1FRUQQGBtq/rKpmHn+8FytWLHcYce5P53nbKPJSHKfP\nKXm/dp2f8xWF9Gxz4V9AIcQtkR5ecV1HTuk5djaHsqV1DhNCHLbxzHNuexN37uF1+JCw/+FwvRDy\nVm8dr9v++dr7eG1fd1zk3foFVbVUlcxm6NjMu5DfXRTWtGnT+OKLL1i2bBkNGzZ09XBECXf5qolt\nBzIJLetm6dvVKvZzneP1vP281uO2LYc1eYKnyWRCq9Xae2XTMzJ46qkhzJkzhzJlAvNs/uDQW4ul\np7bAnl3VoWf3Ovc357ltYfp4zfb3KZWraSbKB7rRqIb8FkqIoiAVXlGgw6f0xJ83OIVdxSHsFnSO\n/YPHoYqLczXkuhXdG5w017uvbUw3qPrmrRJ5eyhoNCob92S65HW9F6WlpdG+fXsSEhKIj4+XsCsK\nJSPLjNbWVFfAe4n9eJ7/+xrrZced13IrvQo6ndbp/7+vjw8PPvgAv/zyi9Nvj+wcDqhmS8/uiuUr\nnAerOI8l/xcdjuf5Bjf8wd7hizqthowsqfAKUVQk8N6DJk+eTEJCwk1vl5SUxJYtW/IdP3fZQNxp\ny84/joER8odb59BbiPBpvX3+9oPbOHGd4Eve29pCrwa9wcyeOP2de9HvU5s2baJPnz5ERUUxdepU\nVw9H3EWys83oNHnCopXicLIcsL3/5N+FTWNtdXJat5fc//co0K9fP1atWsWFCxdwfEjb+xaQ27O7\nfLnzmApIrNcLsddvcSj4oONxnRaycyTwClFUJPDeY1JSUli+fDnVq1fnscce488//+R6XSvbtm2j\nU6dONG7cmNmzZ5Oens61DBM7/smmfOB1wu51A+UNwuZN73vzk8bh9pobPmZu367jKXf8lq+V8tVy\n4bKB+POGov4ruWdNmzaN8ePHs3r1atq1a+fq4Yi7TLZBxU2bv9dVsf9EbTl3fL/IvZ3leExMDKNH\nj+Ljjz8iJSXZHnAdk6cCVK9WjXZt2zJ12lRMZlO+BKrmCbu2O14vwBboX97WdlGng2y9dBgKUVQk\n8N5jSpcuzcaNG9m/fz+hoaH079+fWrVqMXnyZJKTk51uGxkZyZkzZxgwYAAff/wxISGh/Oet7zFn\nn8+tsOQNu2D/LFLsHzwFtDrcNPTagmkhTjeqHOd73DwBvMAxWL4WXErLgWPZJF8zFc9fzj1kyJAh\nJCQksHHjRlcPRdylcowqWl2eMufNOPw/Xr1qFR9++AG1atXCbDYzYsQItm/bdt1JYcOeH0ZGejqn\nT5/+f/bOOzyKag3jv9nd9AokhBBC770joCC9hhIEBSkiRaqxgCgdrChcLwqogJTQBC4IhA5SpKv0\nJr0TSiAhvezO3D92d3ZmSyiCQJj3eYadOXPmzJkNO/POe97vO6pye2X3keCEwDqv4vpi9ToBk2iO\nMdCgQcPjhxa0lsORlJREdHQ0P/zwA+fPn2fw4MFMmDDBoZ4oikyasZPNm9Zz6MAflC9fjm7du1O+\nXDmXZNdZWjKlmmotk5UbxRiew23f1XPAWaofS0AIqIPVrHWs89dbg0GUieLV6+Z9sXFGIl7xQ6+9\n/t0XGRkZVK1alY8//phu3bo97e5oeI7x18l0ElNNBPrqVUFrBr2gClQz6HHYTktLoedb3enVqyft\n2rYBYMuWLXz//ff069efJk2aypNCGI0mTpw4Sbny5cnKykKnN8j3AnOAWjtWrlz50EFnopO66n2O\nk1LI5TgGw4kixN0z0rqu39P9w2jQkEOh5eHN4fDz82PgwIEMHDiQSpUq4eHhPAL43FUjFStWpd7L\nNbh58wbr1q1DNJkeiOw6qr7qMtl/Zz1ZdqKOgDoNg+Bql3VHNjl6nTao2BTM+4ICdew9lkrdilrm\nhuywZ88eGjRowIEDByhbtuzT7o6G5xzubmAScZ6YVvFDtt8tAaIoYTKJlCtXHsmSi7thw4Z4eXnz\n1YQJBATmonr16gCcOnWKKVOm8N1336M3GOT2lMquU93nYaSg7HLwqsqdJfI1w2SStGnQNWh4gtAU\n3hwCURQxGo24u7s73X/48GGqV6/OxYsXHXKjZhklYnYmExZsl5FBSWKzIbsOqq6C6Loiuc68ccoi\nlw8NyXHdquRay+S0ZPZqLjgoLlYV5tZdI9XKehGaR3sHdIbZs2czY8YMdu/e/bS7oiGH4PSlTM7F\nZpI30OCg4ur1YLDbtk9PNn36j1y9fInPv/gcNzfL71aC9Rs2MGfOHKZN+wH/gAAkCbKyjOj1Bvn3\nbjKJtG3XjpUrV7meHliSFGnD7pOCzFrupK5L1Rd1eVqGubB+Ve3FW4OGJwFtEDeHYO3atYSHhzNy\n5EiuXLnisH/atGlEREQ4nQjgyLlMfL0ElW9XFSDygGTXpgYLNrJ7X68ttkA0u22HTA6u2rD2mfv4\ndnHWhvmY3AF6Dp5Kf3x/kByE0aNHc/nyZY3sanis8PIUMBltuqf1RdVaIBNN+0/L8laPntxLTOKr\nryaQlWVEEiUkSaJp06aEhRVgzZo1csMGvUFu3CTayK4ruUfuj8PGfYTfbNpzVqgsN5nA00NTeDVo\neFLQCG8OQdOmTfnvf//Ltm3bKFKkCO3bt2fTpk1IkkRiYiILFixgwIABDsclp4lcvJZJgK9ezWBR\nEEZs5FBVbiXD9sTzgUnqP1jsjrefYtQl6VVek3wNAgaDgChKXLye+eT+SM8hBg0ahJubG2PGjHna\nXdGQw+DtqcNojRdVjtbgSH6tn0rC6+7hwdhx4zlz9hyfff4F6RmZiBJkZmZx9248aekZNqKMzbPb\nrq1dgJqkaFs+nSNFtZ7XEdIjEWTJrm6WUcTbS3ska9DwpKBZGnIgjhw5wrRp05g/fz5hYWGUL1+e\nY8eO8ffff8uk1Yo9x9JJSzfh66VTkcKrV68wd84cYmOvU65cWXr0eIuAAH8HMol13SID26u+qk/5\nH+uHYLftHKqHnzVcTaGOKAPXVJYGu0ASlb1BNcxoLjOJEjfjRdq+4vvA33VOxptvvkmdOnUYOHDg\n0+6KhhyIpFSRrftTyR9kcAxQs5t5TW+ZWMI885p6OuGE+Hg+++xTsoxZtG7dmm3btnEn7g4TJ03C\n389ftjwpbQyugs1UdgRcWxes9xNXwWnWQDRHZdp1INztBCPli3pSKNTt6f5hNGjIodBeJ3MgKlas\nyI8//sj169cZOHAgK1eupH///g5kNzFF5GZcFj5eOgd1d926dQTnDabLm11ISUlh1KiRgKRSdsFG\ndpVqq4ONARRqqzLlmHmfMsfu/dVcuzRlzs4hOO+XTdW1bSjb1ekE3PRw7pqm8rZo0YJWrVppZFfD\nE4NBjy1Iy8lLq4OX1p4siub1wFy5mPD119Sr9ypz50QjifDlVxPw8/O3kE4nZBcXL8TKRSU32zrp\nej+K/ZJ9gf2qA/R6HV6emqVBg4YnBU3hfc6RlpbGhx9+SO/evalatarD/q1bt9K6dWuuXbtGYGCg\nat/eY2mkZ4l4u6vVXWck8+sJE2jduhXlK5R3QmBxqu5aFV2rmqvk26p1hxUFJNWHeV1ZZlFpVJ4/\nh4fn/VMGWctECe7EG2lexw/dC/o6WKtWLcaNG0fz5s2fdlc05HBs3Z+Cm0HA21NnUW/VgWn26q78\nKZjXlXYmBBBNJvR6PWC7P5hEs41h5Sob2UV5D8C5uutUiXVWV1kPdbnTe46TNkQJbt410fwlH9zd\nNNKrQcOTwAv6SM85SEhI4Pbt29SqVYuXXnqJ6OhoMjJsU+ZOmzaNLl26OJDdtAyJW/FGvNwV6q5K\nBVVYFYC78XdJS0+7L9lVfqJSdLP34Dp4a+37ka3y68S3a6/0Yqc+K/pkXyYCtxNezMkoSpYsyfff\nf/9QZNeUkcFfkyZhTNeC/jQ8HEKDDCSniS6UXceXUUky56sVLZYB0VIuSiCKIAh6edvq2TXn2V1l\nR1JdkE/UpNZe3XXm91UpRnaFThVdaxuK/RmZEn7egkZ2NWh4gtAI73OO0NBQli5dyqVLl2jevDmf\nfPIJBQoUYNiwYezatYsVK1Y4DVa7eddom6JXsaSmpaqH4wS4ffsWJ0+coGiRIjJJzMrMYubPMxkw\ncACfjh/PpUsX1VkZnBFRwGQykpWVmT2RdbLIQWnY1pVlKpuEUmVWkFqU12rpn7LMuu7tpX8hg9c6\ndepEl/7TGfKjB8s2xz3QMbF79zK/Zk2O/vwzqbduPeEeashpCAt2IzXdFfm0+WCtBNZMdiWZ4JoX\nMwm21rOWG40ibdpaU485UV5Rn0s1EoTauuCU4DphvHI72BNm+zrKxiEp1UR4iPOUkho0aHg80Ahv\nDkH+/PkZO3Ysly5d4ocffuCPP/7g5Zdfpnr16lSpUsWh/uUbWfh6O2Zm2LljB5+OH6/wy8LaNWuo\nVKkiwcFBcr0//vyDixcu0KljRwoUCGP4J58QdydO7dPFRjatnzt+/50PP/zAhSLrbGrh+6jCztRc\nQXVJlvM7toWiPVsfBXw9Ba7FGWVrxIuAEiVKULbOQL5cZGDHwXt0HXmKmO13nFeWJK7+/ju/tmnD\n4oYNKdqqFd3278e/YMF/t9Mannv4eeswGMxT6qoJqWQjuTLZlZyvW9VeUZIJslLZtfp4lfl21bOk\nuSbCyohZR7+v5ECKnUF1XS6+h8wsyJdH/3i/3OcUJ0+e5N133yU4OJiuXbvy559/Pu0uacgh0Ahv\nDoPBYOC1115j69atnDhxgsmTJzvUMZokbseb8PJwzE1bqFAhDh8+zOHDhwGIT4hn46aN9OjRAyz1\n7ty5Q/Fixfjii89p2LABvXv14v0P3mfTpo02mwN2JNXyuW7dWurWqaMg1C7I7f1IsIv27Umvyirh\nwsYAaoXXatG4c8/4JP5Ezxxq1arFggUL2HIkkMwsEYD0DBOzV90EQDKZuL5nDyfmz2dT//5ML1KE\n9W+/TXClSvS9cIFXvvgCg5fX07wEDc8xCuY1kJwqqgiliuwqFFyrpUEmvaJC6ZWsyq6JNm3bsmLl\nSjPJFXEgz858uEp/r82SINmRXwuUkq+1CCfE2f5indgZskwSXh4Cvi94SrLjx4/TsGFDKlSowPnz\n5xk5ciSnT5+mZs2a1K1bl5SUlKfdRQ3PObRppXIwypQp47T8drwRg0ExC5oCpcuUpnOXzowdO5a8\nwcGARN8+fShVqqRMJlfHxPDrr8upXKUyrVu1olatmly8eIH0tHQV2f3rrz/ZuGEDOr2OHt27k5mZ\nydmzZxgxYoRMNMFGMrOFpKwjKApd1RdAsNsv2T6ULQiCrUySzJ++3jqu3DISFJizfyItWrRg3Lhx\n1KxZk6jEOP48kUR6hoinu8T7b+YH4NCPP/LboEFU6teP8Hr1qDFkCIHFij3lnmvIKcgf7Mb121lI\nkt5CSiUESTBPJIGAqANBkhAlwWyw10kgCgg6wJo5RrL47yWR9pbpgkXR8VxWFdZGbhWeXXNzrlVf\naz0XlgeH25Fk155iUZ40NV2iYD4tFdm4ceOIj4/n7NmzFC5cGICoqCj+/PNPZs6cicn0YsZVaHh8\n0LI0vIDY/3c6dxNNBPjqZOuB/axmKSkpXL9+jfDwAvj6+KgU1/fff4/aL71EcnISW7b8hpenJ5Ik\n0qtXL1599VUEAdavX8evy5fT5c0u/H3yJNeuXSU0ND8pKcl88sknKpLrwGPtYaeiWBUSsD4zJLsH\nlfLB5DpaWukLtB9CNZkk7twz0qqu3+P++p8ZdOnShYiICDp37iyXxWy/w+xVN3n/zfzUq5bL/L0Y\njazu3Jkbf/7J69u2EWB5GGUHU0YGB6dMofLAgRg8PZ/gVWjICdi4L8UStGXL1qCzz7mrEyzZGaz3\nK0F135Ikkfbt2rMqxjyphNPXYuX9AkcCbCWuDn5eV0RYtd/FMS7qWy0Wt+NNNKzujbfni6vwxsbG\nUrBgQWbNmkW3bt2ednc05FC8uL+wFxixd7Lw8zb/6ZU+WyXh9PX1pXSpUmqya8l2kJSYSPXq1ejb\npw/zoqN5+eW6pGdkULNmTQQB4uJuM2P6dIYOHULDBg0YOHAAOkHHpk0badWypWtPrqI/Old1nHl6\nlRYGhzYF1aWZ1+1sDFaLg6KOzpK8IjHFiUyUAzBo0CDq1q2rIrsAEfXzsHxSWV6pGogkSWZSYTDQ\netEi8tWoweJXX+XexYvZtq0Fsml4WFQo7klcgknxYmp7KZWzLlh8vlYLg/UlVZQsAWpt2pltDKJk\ntkHIvl3LtsLj69za4OQlGUey6+BVUEm3zl66nSnC5sqJKSJheQ0vNNkFmD59OgEBAXTs2NFlnb17\n97J9+/Z/sVcachpe7F/ZC4jkNAmdwgdrD5tv1tlO81KiRAlOnTqFKIm4e7hz+fIVOnXsiI+PN4IA\nq2NiqFixAqVKlZLbCwgMoECBMCpXrmSxDojs3buHpUuX8Ntvm0lMvCeTVJ3lVE4npHBWpuizszrW\nfjsGqDnx7iqu2yQJpKbnPMI7atQo8uXL90CTSrgivUlXr9pX1ALZNDwyQvPo8XDXkZEl2gWjWYiu\n7NFVpyETRUnOxrBi5SpFyjIc/L1O/cEq8qtIV5YN2XU5koQza4Md47WVIkmQlCJStojHv/U1P9MI\nDw/H0240KC0tjZ9//plq1apRu3ZtPvjgg6fUOw05AZql4QVDfKKJ7YfSyJ9HryKKOlfk0UpAFWXX\nrl1l3LixZGVmUqxYMfLmDbaouOY6gwYPolPHjrK9AUmi59s96RAZSdu2bUhNTWXMmNEEBgbi4+PD\nyZMniIuLo2nTZnTr2hU/P7WNQFL+q1BRVMOSroYbJRc2hmxsDdaH7O0EE6UKulOsQM5JFzRr1iyu\nXr3K6NGjH+o4QRBke8NfkyZRZdAgbh85QsK5c1zbtYsL69ahMxgo3bkzVQcNwjsk5AldgYacilvx\nRvYcTSMs2M1mZxCsdgbFutXOoLPYGNq3I2bVKtWLutIy5QBJwT0VZNX5/cRGaJ2SXR7AyqAqs5XH\nJ5kIy+tG+aIa4Y2NjaVQoULs2rWLGjVqyOVly5YlJSWFfv360apVK6pVq8bOnTupVavWU+ythucV\nOTsiR4MD0rMkBLt3nGzEXNuDQ1GpQIECTJs2jTNnThMUFET+0FCVkpoQH68IcoPtO34nOSmJxo0b\nAbBs2f9wMxgs0xWbDQb7D+xn6tSpHDt6hMmTJ+Pubk8yBZCsAWYSggSSAE4j0FQU2W63XCaAZA54\nsR4mSbZLlQCDQSA5NecovLt37+bnn39m165d9627c+dOqlevLisuVqVXkiRqDhvGwalT7xvIJoki\nf02axNFZsxCzsijduTN1Ro9G56YF6GhwRN5cBgL9DKSmi/h46cxBZzrLD10RrIYOBCREo0j79u2J\niTHn2RUs9wVrECqSoCa+ypflB36BRrY4OJLg7MiuvYXBrgxIS5coU1gju2DOJ9++fXumTp3KnDlz\n5PJff/2V4sWLy7PnhYeHs2rVKo3wangkaJaGFwyp6RJ6A/K4v6N/13n2BlDbBDzc3alQvoJMdpUe\n3AIFwti2dRuiKHL8xHF++vFHGjR4FV9fsx/4+PFj1KxVS+W9rV6tGt9//x2CAKdPn1IrzE7tCy4s\nDNYrsDsGwdHLK1sdFNenvFg3nUBKRs4YAMnIyKBhw4YPRHZXrVpF48aN2bRpk6rcSnoBKr3zDiVf\ne40L69YRWru206wNW6Ki+Ovbb2k2cybtV63i1OLFbH4AG4WGFxcVi3uQnCaqrAvKkRpzvl0UNoaV\navuCpLQwSLb8vHaeXmXb5hEdu3PxYBYH+3120rGDlcFa+V6iiQolPNBrT2AZAwcOZPHixdy9e1cu\nK1WqlEx2t23bxoULF4iMjHxaXdTwnEP7ub1gSMsQMehcUFo7z6ut2AkJtqujLOvTpy9r162lQ4dI\nZkyfTnJyEq1atTRXESAkbwh//LHPYcY1P19f/P39SE9Py967a11XEGb7vjsNVlPWU5QrSa8yc4Sb\nAdJyiIe3WrVq7N+//771Vq1aRadOnfj222+JiIhw2P+ggWxJV65wcMoUGk+dSljduuQpW5bXNmzg\n5MKFZCYmPq7L0pDDkMtPR/Fwd+LuKQLYrJNMWGdQM5lo27YdK1asss20ZiWxStKr9PPaLZIdyVV/\n2kixozXKzq4g2dRhp7YqUBBlc3lapoSXt55iYTnHKvU4UK9ePYoVK8bs2bOd7p82bRo1a9akWrVq\n/3LPNOQUaIT3BUNGpoReb2Z1zviqatuOHCrryYuduisAJUuWYM7s2cyfN4+mTZtQpkxpihUrJpPU\nJk0ac+niRT76aCg3YmMV55EIL1CAIkUKO5BdR5XXTu2167M9ERYszFZJbFU03smqwU0gPfP5J7zd\nu3dn2LBhlCtXLtt6SrLbv39/l/WyC2STRJHDP/7Ige++A0HAIzBQPs7g6YkpMxPRaCTu6FEubtz4\n2K5RQ85ByXB3An31JKaKCgIrWdIFWrIxrFjpJDhNkhVg+30q4moXyKby9YuSE6XX3pbwcKqvTHYx\nn+vuPROvVMq5E7UkJCQwefJkPv74Y/bt2/dQx/bv35+RI0fSs2dPeYa133//nTfeeIPly5czePDg\nJ9FlDS8INML7giEjU8LN4Mq04AIOxNFaqK4jq66Au7sbfv5+tG7dmrFjx6oU2cpVKjN79izCwvIT\nFfUuO3fsMFsXdAJRUe8SkjcvmZkSmVlSNlkZ7JVfxQxscu/sVF7FhlLZFdSXIUMngMnycHxeMXny\nZHLnzn3f3JYPSnatsCe9lfv3xysoiEPTprFr9Gjc/f0JqVqVLYMHkx4fD4BPvny0nDcPz9y5ubZr\nF5d/++2xXKOGnIfaFbxISRXJNNpIr3kGNUs2BisJVk03bCWy9mnIrLYGJflVWBxEO+uCg5prI7Oi\nK0JLNmQX2/b1OCNNavo8za/2ieLy5ctUqFCB6OhoTp8+Tf369fn9998f+PjevXszefJkDh48SM2a\nNcmbNy/NmzfH19eXP/74g65duz7B3mvI6dCyNLxg2HEoFZ0Abm6CLT2ZoFRQnWdtcOaj1dlbDeyJ\np4qYCixatJA8QXlo3qyZXGfJ0iXMnzePXr170b5dewBi4zIZOeUCgiDw5buFCc5lHvpTJoy/XwCJ\nMtWQ2qNnG/q0qjqy2mN5WNqGRs1TMDet5fPwLwnPAHbu3Mknn3zCjh07sq3niuyKosikSZOYNWsW\nWVlZdO7cmdGjR+OmCDqzBrJZsbFvXyRRpNnMmYhGIxc3bKBoq1aP/+I05HhkGSVidqRQIEQPkkRk\nZDtWx6yy3J/MM60Jgi19IXb3HiucjVLJsN5PrJuS3SfI/7+t9xZ5XVVmsSukm8gSBYxZkGGUzGnW\nRAmDDpKSJaqX9yI8rxsebsgjbTkJAwYMoEiRIgwdOhSAa9euERYW9kht7dq1i0OHDtGlSxdy5cr1\nOLup4QWFlqXhBYNeJ5BplMguUP5+VgdVmWC/4czqYF65dPkSXl6ecjkCvN6pE24GA3PnzKV+/fq4\newQwbPJ54hONAAz59jzTPimBr7decSIn72iS9cySXeIGAQHJPNMwIFlSOwiC7eGluihFmSSBSXwE\nRfwZgDn125gHIrsdO3akdu3alCtXjoyMDDw8zJHjUVFRLFu2jKVLl5IrVy7atWvHzZs3mT59uny8\nMnsDQMFGjdg8YAC1Pv6YwOLFH4jspt25g5u3NwavnDvMq+Hh4WYQqF/Vk98PpTKgVwdiYmIs2RgA\nJATRFnQrAIJk+Z0LgnlWcfk3/2DnU5Jca7oya7n9S7Z13WQSSUwRuRVv4s49ExICJqOEiGRLqyZA\nfJJI7gAdJy9kcOpSBu5uOvx99ISH6MkbaMDD/fm7xzjDmTNnVJNHPCrZBahbt4ExUuUAACAASURB\nVC5169Z9HN3SoAHQLA0vHDzcBbKMjy7q21sA5DIFwXV2gAAULVKEu3fv2Km/As1bNMdkMnLp4kVS\n002kZ4ry/rQMkctXb6iUHKVv19Gz6ySQza7P2RJ4BUwmCXe35/NB1Lp1a0aOHHnfejt37qR79+6E\nh4czcOBAevbsCcCVK1eYMmUKU6dOpW7dupQtW5YNGzawcOFCEu2CzpTZG0p36kSxiAjmVa/O2m7d\n2DxgAKLR6PTcaXFxrO7cmWl58zK9cGGubNv2zy5aQ45DWtINvhvfmR9m/SqPxkgq64KTADVRmZ3B\nLlDNbrEPZLNlcbDN6ubsuMQUkRMXM9h1NJ2j5zNITBHx9xHI5acjT6Ce4EADufwM+PvqkSQoX8yD\nqqW8KJDXjdA8BvL468jMMnH4dDrr9iSz/WAq125nPe2v+4EQHx/PTz/9xPz580lPT1ftK1iwICtX\nrnxKPdOgIXtohPcFg5eHgFF8cMLrnO4JrvcriKZV3bUS07Zt23Bg/36+/uZrLl66KHt6L128iJub\ngaJFixAa5E6HRnnw9dLh66Xn9WZ5uXXdlqZMkkS1bxccCK5g17f7Dm+64LRGE3i4PX8/kcmTJ1Ox\nYkUaNGhw37pff/01M2bMYN68eRw9epT58+fz448/8t133yEIAoGKoDNPT08yMzMxOiGwMukVBFrM\nmUPL6Gj8ChQgzIVCc/vwYeZWqkRWaipd9uyhXI8eLG/VilsHDz76hWvIcShQoADt2jRl07IvuHbL\nRKZlJjal7UhpQ7LNyKZMY6aeali5ZDftsLPP5DSRI6fTOHwug4xMkeAAs0Lr663DYNChE0AvWCbK\n0JuJccFQN8KCDbYJNHQCOp2Ar5eekDyWfUgcOZvB+j3JxMY5f0F8FnDlyhUqVqzIzJkz2bBhA1Wr\nVuXmzZvy/oiICBYsWKAiwnFxcbRv3/5pdFeDBhU0D+8LhkuxWRw5l05IboNLD6/Sr2ud1cjZtrPZ\n2ZzmzMW2nZycxMyZM9i2dRtFixahUMGC/PnXn3Tv1o3WEa1l7rn1rwQE4NUaFsJl+V+66JdfeP31\nN8xF9j5d1QNK6d218+2qpidVe3yVqlBSigkvTz0vlfe0/xqfWVy8eJEGDRpw4cKFRzp+ypQpjB8/\nnsGDB7Ny5UrS09PZsWMHuXLlQpIklixZwuuvv+7yeHtPrzPcOnSIxa++Svm336bBpEnyW8iShg3R\ne3rSYe3aR+q7hpyLTz75BF//3FSu1x8vTx1+XoLL2AKwG21yNvLkApL8j9rGkGkUuXDVyM14I/4+\nAh7uOoV3GJuNyuKdMooS8Yki5Yu4E+Cnt/mAFW0qrRHW+1iWSeJOggkfbz2Vi3uQO0Dv0Mf09HSH\nKXj/LURFRVGvXj06dOiAJEm8+eabxMXFsdGSccVkMlGuXDmioqLkeIDo6GjGjBlz33vS7t27mTZt\nGiVKlGDMmDFP/Fo0vHh4/uQrDf8I3l46rAKdKljjAY6930PDcb+d7QDw9/Pjww8+ZN68aDp17Ejl\nKpX573+/JSKiterB1bBGIA1rBjoExnV+4w25rY0bN6iVXYV9Qu6P7R97q7EKygedFVkm8Hl+uC4A\n7dq1Y8WKFY98/JEjR2jTpg2jRo1i7969TJgwQQ4YEQSBjh07Mm7cOEJCQggKCmLIkCFkZmbKxyvt\nDc6QHh/PrxERZrL7n//YJHdJIjMpiQKvvPLIfdeQc/Hll19y9vQJbp/5H15ucCdRtL3IKhVfpZ3B\n+vIrOloXXNoa7CwQoiSRkGRk/8l0ktKMBOfS4+WhM/tz9aDTm4N/9YL5U6c3B9ulp0vULu9JrgC9\nZZpks6qrF8yfOkEwt2GZKtmq/LobdOTLY8BdL/HHiXTOXrXZHPbv30+1atXw8fGhVKlS/Prrrw/9\nPR48eJA5c+awZMkSEhISnNY5e/Ys//nPf1i2bBkmk0m17+TJk5QqVQqAW7duERYWxqZNm9i+fTsA\ner2eBQsWMHHiRCZOnEiXLl3o06cPX3zxhdNzpaSkMH36dCpXrsyrr76K0WikWbNmD31dGjQ8CDSF\n9wVDUqrI5j9SCAs2IOhcq7nqcvsy13VcKcP2GRvU2wqvrYIsKWmT9T+pNZ8lEsTF3SFX7jxIEhw4\ncIBKlavYFF6VimtRfFXDnIohUbtcn9bt2/FGyhR2p0j+5yNB/JgxY9Dr9YwePfqR21i8eDEDBgxg\n3759FC9e3GH/Z599xg8//MDKlSvx9/endevWtGjRgsmTJ6vquVJ61/XoQeqtW2YVV/G33jlyJCcX\nLeKto0dx8/Z+5P5ryNlo0aIFUVFRFCvfkDOXM/Hx0uHtoZh5EbsXX5W6K2SbscGabUG5fe1WFpdu\nGsntr5eJqcPIleUoUZJISRXx99VTsqC7k7btAuBkdVedEk0CsowmRFHkXopAbn89FYtCiRIleOut\nt3j//feRJImqVauyePFiateufd/vbefOnQwcOJAzZ87QuHFjcuXKxZo1a1i6dCkNGjRAFEUWLFhA\n3bp1qVWrFlWqVOHu3bsEBwcTExODwWCOb+/duzcJCQkYDAaWL19OxYoV6d+/P126dMFLEXR66dIl\nZs2aRUZGBp07d6ZSpUqq/pw8eZJp06YRHR1NQEAAffv2pU+fPoSEhNz3WjRoeFRohPcFQ3qGxOY/\nU8ibS2+zMOgcSaorMutQR+dYR96Hc8uEPdFVkl3HhxSsXr2awFy5qFu3riqJu/IhcfzECUqXLoMo\nwtWr1wjNn991ujEVsXVBeEWJu0kilUt4EJL72U9mcuDAAfr06fNAs6llB0mS6NmzJytWrCAiIgI/\nPz++++47+YFXrFgxoqOj5ejpo0ePUrt2be7duydPAWqFPelNvXWLaSEhdFi7liItWsjlf02axK4x\nY3hj+3ZCctgsSllZWSQlJZGcnExSUpK86HQ6AgMDVYv996fBOapUqcLs2bMpVLQCR89lEJ8kkidA\nwMNNJ99fQHFfsfzzULYG4PTlTOKTTOTy1cv+WxBkVVawnMQcxGZCJwgUC3cnt5/OsT0FuXVIqajY\nZzSJzJkzl9Wr16DT6alatSo93h7I1euxfPVxGy5etNkChg8fzo4dO+6biWXz5s106tSJjz76iAED\nBuDv7w+Yvf4zZ87k8OHD6HQ6KlasiCRJtGnThs8//5yMjAxq1KhBhw4dZIvBihUraN++PV26dCEq\nKoqaNWty/fp1PvroI+bPn/9A3+/x48epWLEijRs3ZsCAAbRu3Vr7v6/hX8Gz/yTX8Fjh6SFgMEgY\nRXCz3mOs6oPioSB70h4BKuuAwmrgtKKS7CpUGXMnJEwmE4sX/0Kfvn3VFgUFkZKAsmXKIkrmdGNn\nz54lNH9+wEw4DHo31XU6hYRDnfRMiUDf5+NG3LZtW/bs2fOP2xEEgTlz5rBq1Sr27NlD+fLlEUWR\niRMn8vfff5OamiqTXzBHZSsD25SwT1nmHRxMnrJlOb1smUx4d48bx58TJ9JuxYrnluxeuXKFv//+\nm1OnTsnLvXv3OHz4MKIo4ufnh6+vL35+fvIiiiIJCQmqxcvLi8DAQHLlykVYWBj58uWjatWqVKlS\nhSpVquDjk3MnLHgYHDx4kNDQUA4ePEi9Kvm4nWDi0Ol04pNM5PHT4eZmvukIkvneYyWc2am79jh1\nOZPkNBO5/MzCgM4yGqZ8cUeA5FQRkyhRNMyNfE5ejGWya7llSZYOmdfVecNBYO2a1ez/60/GjxtL\nmbLlWLx4CT9Oncg7/QeT5Vuby5evULBgOAB37txh7969HDx4kCpVqri8luHDhzN37lyHqcIHDx5M\nv3790JmZPP3792fAgAHyaI2Hhweff/45b775JkOHDsXb25uIiAhKlixJvXr1qFmzJgBLly7l6NGj\nD/zdlitXjvPnz1OoUKEHPkaDhscBjfC+gMgf5MaNuyYCfXXycJwAsvJg/2DIlvxaCaKLCoL9hmDj\nufJiR3atn5MnT+b8+fMYjVnUrv2Sql+SBPfuJeAfEGi7Bkv/69evb3mASKxYsYLXOnTEJazqinKR\nICNLwtdTeC7yY3766aeMHj2aAgUKPLY227RpQ5s2bQCYNWsWkyZNYtq0ady6dYvIyEjWrl2Ll5cX\n7dq1IzIyEr1ez9GjR4mNjaVp06ZyOyrSKwi0jI5mSaNG3PjrLzwCAki6epU3tm17rsjutm3b2LJl\nC/v27WPHjh0EBQVRunRpSpUqRalSpWjTpg1ly5YlKChIzmn8IEhOTmbzrqsUy29WhU+fPs2BAwdY\nsmQJBw8eJCwsjCpVqsgkuGrVquTJk+cJXumzi9jYWPn/VXCgniY1fYiNy+L4+UwyU0246XX4+ejQ\nW24mgvod2SX5lSQ4czWTpFQT/t4WG4MgoLeMZukEgfQsCaPRBAIUyudOaJDBoU3lucwKrmQLUrOS\nX0ng5u1biKJEcHBeJODQwYN06NCBChXKI0nQrl1bFi5cyI3rl6lWsQTvfDSXgV0rs2bNGo4ePUrT\npk1ZsmRJtoT3woULhIaGOpTrdDrV/89u3boxbNgwLl26JJe1atUKf39/fvvtNyIiItDr9cybN4/e\nvXtjMBjYunUrS5cuZdGiRdn8tRyhkV0NTwOapeEFRNw9EzsPpZI/2HmmBlWZDodoaGfWB9XMRwoV\nxD6K2t76oCK8CpsDwOXLlxg+fDiJiYmWKSZb0LhxE/wDAjh06DCjRo+mTu26tGjZijJlyjp4cO2t\nC2vWrKNZ8xbq/Jz265b6t+ONFAlzo3ShBycsTwNnzpyhVatWnD59+omdIyoqirx58zJixAhMJhOR\nkZHs3LkTQRDo0qUL33zzDR4eHvz4449cuHCBCRMmOLShVHrvnjrFX5MmkatECSr374+br+8T6/vj\nwL59+9i8eTNbtmxh69at1K9fn4YNG9KkSRMqVaqk8i4+KowmicqdDnAnMYugQAP7F1ZzyAF9+vRp\nDh48yIEDBzh48CBubm6kpKTQoUMHOnToQH7LqMaLghs3btC7d29Wr16tKr+dIHI9LpPLsVmYRHPu\ncV9PAQ8Ps5KZ3Svs9Tgj125nkcvPgN4SbCYhkZkFRqOEoIOgAHM6sUA/c/Ca4KxRyaYFKG0LWPy6\nx46fYOrUaVy+fAUvb29KlizJiJGjmDp1GpIEgwYNRhQl4uLu0PPtXlStWo0PPviAGbMWcuTwnxTL\nm8TkyZNZsWIFq1evlrMkOENERAR37txh+vTphIWFkZiYyLVr1zh06BBbtmyhd+/eNG/eHED2+Srb\n69mzJ5UqVeK9996Ty86ePcuMGTMwmUx069bNwaOrQcOzCI3wvoCQJFi+LYnwvAYzyVQEr+mcEFUr\nmb1fIJu8rsumHRfE2Zmn99Kli7z7bhTff/89x48dY9ny5aSnZzBnzlwEQceJk3+zes0advy+k3yh\n+WnevAX1X22Ah4eXnTfX4smNT8DfPxBRkti79w9CQkIJK1AAUQST0s8rSly5aaRxTR/8fZ7tRCZN\nmjRh2LBhNG7c+ImdY8WKFQwYMIDdu3dTuHBhNm7cyNy5c1mwYMFDtfMgKcueFZw6dYro6Giio6Op\nU6cOJUqUoGHDhjRo0EAVWPm40OWTv1m0/pa8/VZECLPHl7rvcdu3b2fZsmUsW7aMggULyuS3SJEi\nj72PzyLmzZvHpk2biI6Odro/MUXkxh0jsXFG0jLBaBQxmkAQzDMo6vWCxdolcC/VyKkLWfj76hAE\ncNMJuHsIuOkFggJ1BAca8PfRm0muTv2ybg9rAJzNn2tbbsfFMXjwYCIjO9C0aTNAoO87/ejfvz/B\nwXkZMvQjBg4cRHpaBst//ZV69eqz6JfFLFiwEE8vL+4mmiicz43ShT3Yv38/H330Eb/99pvL7+jc\nuXM0a9aMc+fOyWUeHh4UK1aMwMBADhw4wIgRIxg5ciTHjh2jQoUKLFu2jMjISADat2/PG2+8kW06\nQg0angdoloYXEIIAYcFuJKeZ8PPWqXyr8hS8KP28EoIk2MqUQ3eqejZrBJZ6D+MFtg9gW7tmLbVq\n1aRw4UKcO3uWtLQ0evfujV6vQ5SQh5EjWrdh7LjxzJo1i1Kly1CokPlhHxcXh7u7J94W72NgYCAm\n0fwQ8vXz4/MvPsffP5CWrVpTu3Ydud9Gy3TCzzrZXb58Of7+/k+U7II51VlMTAx169blww8/ZMqU\nKXTu3DnbY+7cuYO3t7dK/bT39D5rSExMlEluYmIi3bt3Z8+ePY/VKuIK9rMfZmY92HdUv3596tev\nz3fffcfevXtZtmwZjRo1IjAwkB49etCnTx+8n+OsF9u2baNq1apyoJU9unXrxpYtW5gzZw5vvfWW\nw35/Hx3+Pu6ULOhORpZEZpZEllEiLUMiLUMkPVMkIxNMRpGz10RKF3bHx0vAy0OPh7uAh5uAl4c1\nhZgiYM3uRV0JW5CaoFB3JdnKcOL4McILFKDjax0QJTAaTeQNDiIkJISiRYsyYvgnLFi4iPS0DCIi\nWtOyZStWrlrF5cuXCAnJx8b163n51dYkJtwjatAgp5M6bP0jgTeH/82QHgX4oFsxTp48yV9//UV6\nejoFCxakcOHCcqDY6tWriYyMJCoqivLly/PKK6/wxhtv0L59e65fv86tW7dke5MGDc8zNIX3BUVs\nnJE//04nX269a1uDzrmCq1JvdU7K7FVgnWOZK2uE9Vxpqan06NGdDz74gL1793L27Fk++mgYBQsW\nRJTAJEps3bKNrdu24ecXQHjBQrz88ivkzhNkUWwlvvxqAnq9G++9977TDA0mUeLwkaOsWrWaI0eO\n0qJlK5o3b4mk8yUkjxsViz/bdoZ8+fJx+PDhfy2Vz/z581m/fj3lypXjww8/xN3dMV1bnEW9WrJk\nCUFBQSxevJhXX31VVedZI73Hjh1jypQpLFq0iO7du9O9e3dq1Kjxr/YhOdVEmfZ/kJpuIk+gJ0eX\nVsXD/dFfuA4ePMiWLVsYPXo0vXr14uOPP37uLA9JSUkEBATQq1cvZsyYkW3dwoULs3379kf2hh4+\nm07cXRO5AvQY9GaCq7d+6hQ5c3VOJrtQUF6rbSE+IYE7d+4SVqAAbm7uqklyrly5ysBBg3nnnX4k\nJSWxfsNGkpKSad8+kjZt26HT6WyT5FiOGTtuPJGRHSharDijRo7i+N9n0em8aFzTm9mzZ6sCSWcs\nu8EHk86RnGbCYNDRp30+pg13TDGoRJEiRYiJiaF8+fL88ssvvPPOOyxZsoSTJ0/StWtXgoKCHul7\n1aDhWYJGeF9QZBlh475kggP197U1yMRUh2OZkiTrXNscrOT4QQivThBYvTqG2bNnERwcTPny5Xnn\nnXdwd/dAlODAgYPMmRvNSy/VoVXr1ri5eTikGLt7N57u3d/i8y++pFSp0hbLgsKzq6hvEiE+IYGY\nmDWsXr2G0hXq8N9Pe1KkYO6n/WdyiXHjxpkfhGPHPu2uyDh8+DAtW7akevXqjBgxgv/9739MnTqV\nnTt3OgTVPAuk948//uDzzz/n/PnzjB8//qlPf7p161be7DeJ66dW37/yQ+D777/nq6++olGjRnz8\n8ceULVv2sbb/pGAymTAYDLi7uxMTE6MKhrTH+fPnadKkiWrY/kGRmi6xYV8SBUPc0evBoBPMn3rB\nTHb12BRewTpZhHMrw/Xr15k27QcOHjqEKIqULVuOL7/8Cixqr5XAnj59hgULF3Hq1GnatGlD8RIl\nmTVrNmXLlafX273ZsXMnIFC9Rk3WrVvPwkWL+HnmLAxu7oiixMVLl0g3+dKwZghhed1UfWjZbzvr\n9tk6V76YN0f/Vx1JkkhOTsbPz09V/9q1a7z00kv8/fff+Pj4kJWVRXh4OJMmTeLNN9986O9Tg4Zn\nFc/2mK2GJwY3A4SHGLiXIqoSocuf2GcvkNR1FG0pgzOUx1uOstVRHK88zhnWrl2Lm5sbXbt25d13\n35WjiY8dO8aXX35JVFQUr732Gh7uChVW4Zdbt249BcLDKV26tNyfW7duMXr0GDIyMuWoaavXzt8/\ngM6duzB7zjx8fTz54tNhD/Ft/ru4ffs2U6dOfabI7qFDh6hfvz6vv/46K1asoGbNmnz99dfUqlWL\nESNGONS/34xsTxLbtm2jSZMmDB48mF69enH06NGnTnbBnHmgQfWAx97u4MGDuXbtGk2aNKFjx460\nadOG3bt3P/bz/BMYjUYOHTqkmrVPr9fj5eXFBx98QO/evUlMTHR5fNGiRRk+fDi9e/d+6HMfv5BB\noI85I4N5JjTrzGhY1s1k16b6WpVfzGTYQoj1OvjmmwmkpiYzdcr3TP/pJ+Lv3iUmZqXDSFjJkiVI\niL/LiBHD6dSpE5UrV6JPn95sWL8eSRKRJJFJkyYSGdmepUuX8PGwYXh4uMvCQuHChSlRODeHzmQA\n5vSLkydPplSpUmRcnI6bXgTAx0vPyD5m1XvEiBH06tVLvu7U1FR+/PFHKlWqxODBg+W0d25ubvTu\n3Zsffvjhob9LDRqeZWiE9wVGqUIeJKeJ6ohi66ckOSXA1k9lEIbteElFfu3Jsf3xWNQO5T7r+rBh\nw/juu++oV6+eqs/Lly+jWbNmFCpYyG4CCtsMbCaTiXXr19OyZStV0Ihep6dq1Wq4uZuHGC9dusyi\nX35h7959ZGUZkYDbCSbOHV1Lnz59Hv2LfcLo37//M/Uwio+PJyIigrfffpv//Oc/MpGVJImkpCRe\ncTFd8L9Nes+fP0+PHj0YN24cw4YNY9++fU/Mm5iQkMCUKVNYvnw5e/bs4eLFi2RkZGR7zPXr15+o\n7aBbt24cP36cPn36MHToUHr37s2VK1ee2PkeFHPmzJFTrjVo0ICkpCR5n5+fHwMGDCA4OJgPPvgA\nURRdEt9evXqRlpbGwoULH/jcyWkiN+KM+Csml7B6dW1WBrW1wUxyrcTXtuh0AkmJibzTtw9Fixam\nYMECDBzYnwULFpCSnOQwwY/RmMXt27fk0bDy5cphNGaRmZlBvXr1iI6ey/fffcfsWbOoWLGiOrgX\nc7+uXL1Mj76f4OPjw4ULF4iJieG39Qu4s/0VBnQK5Y/5VXi9WTAAQ4YM4cSJE9SvX5/atWsTFBTE\np59+yoQJE/joo49U38s777zD3r17Hyq/rgYNzzq0oLUXGB5uAsXyuxF710RuPx2SxYsmAdZ8uNag\nMznq2FJHEKxbgioHruPxtoA3awtY82Kq2lbGukkUKlwYnR0XkiTIyMjEaDSZhwZRp/yxru/du4/U\n1DTq139V5Z0LzJWbiDZtEEWJ69djGTJ0KL6+fiQkJOLt40f/Qe/h65ebuzfPyEnVnzXs2rWLgIAA\nOnTo8LS7IuO9996jfPnyTJo0SVU+atQo7t69S1RUlMtj/61AtuHDh7N48WLmzp3Lyy+//ETPBeYc\npzNnzuTIkSMYDAaysrIAyJ07N/nz5yc0NJTQ0FCGDBlChQoVALPCGxYWBsDRn3/Gzdsbn/z58Q0N\nxTd//seWvi0iIoKIiAh2795N3bp16du3LyNHjnwsbT8spk2bRlRUFN9++y3169dn2LBhNGvWjM2b\nN+Pt7Y2vry/p6enMnj2bGjVq8Mcff1CpUiXmzZvntL0FCxYQGhpKw4YNyZcv333Pf+F6Jt4e1kkl\nbPYqnWC1LyjIrt78qbRggTJIDQoWLMClSxcpV64cIhLVq1cjvEAYGzdupENkB1tQLtCgwavs2PE7\nr7z8Cteux7J06VIqVqyAt7cXogj+fn74+vpZbBDmRcAcWLx1yxZWr15DRpZIoyatycz8UnVdfj56\npn5SQlWWO3dudu/ezbRp07h37x5jx46lcePGTmc5Cw8P57333iM+Pv6+36EGDc8LNML7gqNcMU/O\nXEkkl69OTXIlGzmViWg2JNVGci2k2Imyaz3enK5HQa7tziMCOlFCVPjkrN63Fi1a8cWXXyGho0KF\nSuzctZtSpUrTsFFjs0dXkli9eg0NGjTEw8PDLvjDtnz//RTq1n2ZgQMHkZqWwZdfTWDh4rXUqehO\n165dH/O3/PgwevRopxaBp4Vbt24RHR3N2rVrVWrtpEmT+O9//8v27dvvmyXgSZLeVatW0bt3b95/\n//1H8nc+Kvz9/Vm3bh0VK1Zk2bJllClThtjYWIdFSTZiY2OpXr06ANd27uTYnDnoPTwwWZRhN19f\nmfz6hIZSskMHSr722iP3sU6dOly+fJlRo0ZRokQJ5s6dS506df7ZhT8ktm7dSq9evRg0aBAAy5Yt\no06dOkRFRTFjxgz8/PxITExk69atCILAiRMnWL58udO2uo88xZUbGfxvxW9O8/M6w6XYLPLmdrOl\nU1RYGRzsDIrgNes06OoRLYlqVauwffs2WrVqhQ4BEYkWLZoTE7OG1zq8Jt/lBCAyMpLr16fSoUMk\nogTVa9RkyIcfmvcLyHKCYDnJ7du3iVm9mtUxa3ipdh369OlDyVKliL1tIiVNxMfr/gO2/v7+fPzx\nx/etBzBx4sQHqqdBw/MCjfC+4NDroHxRD87HZpEnQK9WeVGSVCcqr2ULQVCpHFbIxwkWQis57hOx\n+mokRATZYyMCglXSwEZaa71UmzFjxrL0f8vY/Ns2ChcpQsdOlS3EVuLq1WscOnSYBg0bsX79BvIE\n5aVS5coqpffIkaP8/fcphnw0DFECd3cPKletzb69u1myYC6bNm16DN/s48euXbvIyMigYcOGT7sr\nMoKDgylbtizLli2jhWW64HHjxjFx4kRWrFhBtQecQe1xk96srCw6dOiAIAgcP36c4ODgx9LuwyA0\nNJQRI0YwYcIE1qxZQ3BwMBUrVnRZPzY2Vp4Rq9nMmSScO0fhpk2p+u67JMfGkmJZrOuCE2XuUfDp\np5/So0cPevToQfny5fnpp58eS7sPgtq1a6uIqZeXFwsXLqRKlSp0794dPz8/IiMjyczMZOHChXz5\n5Zd8+umnzJ07V9VOlTcOcOhUMgAdLrrTpXIFvvjiC4YPH+7y3Ikp5py8BfLhuQAAIABJREFUBmVA\nmmpRlMlE2Ex6lU4c6wiTiMCrr9YnOjqaS5cuUqhQYQSgbp06TJ06jcTEe/j5+2M0mRg65CP69R9A\nVNS7vNOvH6JJws3dA0mS5JdzK6Hev/8vVsWs5tLFy7Ro2ZL5C+bj4eEp3/MMBrh510jRMMesKRo0\naLBBI7waKFXYg78vZ1oIq4WcykTTYkHAUc2VqYkk2RFlhWIr2IiymtBK6CzH2JNeCz+25fxVWRYk\nKlasTPkKlZ1MLgExq9dgEiXmRs+jePGStGoVoVJ2JQl+XbGSBg0bmocLLQ+NE6cuE+wdR7IlF+az\niHHjxjFmzJin3Q0VBEEgOjqaRo0a8ddffxEQEMDVq1fZtm3bA5NdKx4X6d2wYQOdOnVi/vz5RERE\n/KO2/il69+7tdFpXZ1ASXkGvp+F337GkUSNqDB1K7lKlyF3q/hNRPCqKFy/Orl27mD59Op6envzy\nyy+0a9fusZ7j2rVrfPPNN/z3v/+Vy3r27MmYMWNYu3YtLVu2BKBMmTIMGTKEjz/+mM6dO7Nr1y6m\nTp1K7ty5KVWqFH369CElJUUOskrPEPn7QqrcZkqqkeqN3ieqezn69u3rMqVW7O0svDzsZn5UZI6R\ns9fIaq/Nw2tNRWaNHbDew4KDg6lX7xWWLfsfH34wBAGBgMAA/Px8uXb9GmX8AzDo9URGtidv3mBA\nwMPdXTECZVZ1MzLSiVm9htUxaygQHk5E69ZUrVZdvl+JkkWMkMDPW+DyTY3watBwP2hpyTQAcC0u\ni2NnMsgVoHeSkuzBpxtWlekc8/tmO90wFuXESnYVUPl1JUU+XcmWYkwSYcGCRZQuU4byFSo5nTo4\nNTWdTq+/wTffTKRIkWKIEsTFp/F290hqlg+gadOmDBgw4N//A9wHe/fu5f3332fPnj1PuytOcerU\nKSZNmkSJEiXo378/vv/Ab/pPSO8nn3zCwYMHWb9+/SOf/2khICCAK1euqCZZOBcTQ+hLL+H9LyrU\nGRkZjBw5EkEQ+Prrrx9bu1u2bKFRo0b88ssvqlm7vvrqK3766SeOHDkip8y6d+8e+fLlY//+/Q+U\nRq3biFP8sv4mRhHyBBqI21qHX3/9lXnz5rm0QGzbn4KHmw4vTwGDXsBgEDBY0pGZF3Az2Natn3q9\n7e4kSiAp7kWSBDdu3GTAgIFEvfc+JUqUZPnyX/l1xUp+/PEn8oXmd6gvWibDESU4efJvVq9ew85d\nu2nZshUtWrYiOCjYZX3r+W/Gm2hWy8dhOmoNGjTYoBFeDTKOnk3n+h0Tufx0DlMHWyeiyDbPrn1O\nXad5d+3qoS4D23Ch9dZtJbtgIbYSSFYSa1F5JQXxVRJc+wknDh0+ytfffMPs2XMRRcjMEolZt4Ul\n06OIi4tzIBzPClq2bMngwYNl20BOx8OS3rS0NBo0aEC7du0e2KP4LCElJYWQkBCSk5OfdldkfPPN\nN2zcuPGxWXzGjh3LrFmzSEtL4/jx4+TNmxcw20/q1q1LiRIl5Omqk5KSCAsL4+eff6Zjx44u21yx\nYoWsRI+adolbdzP5z4dF8fEy2z1atGhBVFQUzZs3Vx0nSbBqRxJhwW64GdQk12BPcg3m6YetdXQ6\ndTuiHQmVJNi+/Xe+mvA1oihRIDyc7t16UKNmLUsdCfuJJdat28DqNWsxGNxo3qIFDV5tqCC5jvWt\n9zhre7fvGqld0Yfc/lriJQ0aXEGzNGiQUaG4J7cTUkjLkPD2AFUgmSChUwWamdcklS3B7EWQLQqi\n5TiLfCvKhNdcJm9j8+uaCbBapVDmAJZQBKDZqbySK7Ir2eqdP38evc4gP6Cu3cpk6cwhtGjRgsuX\nLz+TZPevv/7i9u3bLwzZhYezN2zZsoXWrVuzdetWatWq9S/07vFDaWd4VjB06FCqVKlCUFAQBw8e\nJDw8/JHbyszMZNasWcybN49x48bRv39/li1bBpjzvlqD1fr370+jRo2YOHEiISEhNGrUKNt2ixQp\nIq9/OqCQw/7p06dTt25dLl++rO5Plvn3r7rVKEaXbC/i6tEm+/+NktNSeKXeK4SE5MPg5k7BgoVk\nkiufSoCrV68Rs3oNa9asoUHDRkS9+y5FihaTX+pR+Hit9gVlX5WZcUySQGaWzRymQYMGR2i/Dg0q\nNKjmQ1yCSeUVU/pn7TMeyIqrQn1QDbdJasKpPE4565lJ4cM1iZJqEU3m2dCsiyjvs22LkqSeTc2F\n4lumbDniE+4xbtx4Vq7by+pFo8gV6MetW7ee2ewM48ePZ/To0U+7G/86HiRP77x581i6dCmpqanP\nLdmFZ5PwAjRu3JhTp05Rt25dVq1a9cjtZGVl0aJFC+rXr8+sWbPYuHEjixYtkveHh4ezY8cO9u7d\nyxtvvEHZsmXZt28fuXM7zna4YsUKeb1SpUqk3rzJvfPnnZ43PDycHj168Nlnn6nKM7Os0QoKzy6O\nViorlPdAZ5lfrHXkNQmKlyhBoUKFFNnJzdi9ezcjRoxg/Pjx5MuXj//9738MHjyYYsWKQTZ9cNih\nGAnT6yA1Q7Q/QoMGDQpolgYNDkhKFfntzxTyBxlUUw7fbzpgwUU9VRnqMpuqawsEcWbgVc6MJkmO\nhFvl5b2PveHylavMXRDDzo2z8fdMZt26dVSoUEE1y9OzgsOHDzN8+HDWrFnztLvy1OBK6f3mm284\nevQo0dHRT6FXjxdLlixh2bJlLF68+Gl3xSXatm1L1apVsw2cvH79OpmZmRQuXDjbtn744QdGjRrF\n8ePHCQkJkcuzsrJITk4mV65cLo89fPgwlSpVIu3OHdb16MF5y2+jeNu2tFOQYSVCQkI4evSobKO4\nc8/ErsNpFAgx2Hl0Hf26Br0gTzlsDWCzt1u5eum33qMS7yURs3oNMTGrKV2mDC1btqKCJc5AFhZE\nVNu2MkV7ihEr631OkiTuJomEBxsoW9TD6fVr0KBBU3g1OIGft46Xynlx7bZRlSbH1Q1dqeIq64mK\nG7kkKu0FkkXJtam6SmVXVCwmk1rNtS3WurZtVbsu7Q3g4ZOPz8cM4Pa1w5w7d449e/Y8s3PGT548\nmdf+Qa7VnABnSu+QIUO4fft2jiC78OwqvEqsXLmSa9euyT5bJWJjY2nTpg0FChSgePHi9yXu/fr1\no1KlSvTr109V7ubm5pTsrly5Ul6vVKkSACvatSMrJYXeZ87Q99IlLm7cSPzp007PN336dPr27Stv\nZ2ZJ6HXOtB6bScG613a/U99H7HN7W49UHnv06DEmfDWBPn37YjQa+X7KFIYPH07FipWy/X4UXXkg\nGPSQkaVpVxo0ZAeN8GpwinxBBl6p4s3NuyanpFelrCqIsGhHYiUrEVWqsCKYJAWpVdkVwGRSLNZ9\nJlREWBTVFgf1eSUFmVY/pG7HZ1EkvxvlinhYFGiB+fPnP5N2hszMTBYsWEDPnj2fdleeOpSkt1u3\nboSGhj7WDAJPG88D4QUzcYyLi2Pw4MFyWUpKCnXq1CE+Pp69e/cyZ84cevfuLXt0nUEQBH7++Wc2\nb97slEDbo1AhtT/33vnzXN+zh7bLlxNYvDiCTofe3Z2UGzeQlGZZC9q2bUtoaCgbNmwAzBlk7KtJ\n2BNdG5FVBqcp72PK4DFlBpmYmNX07z+A+fPnU7tOHRYtWsSbXbsSGBCo9uJaz6fw4z4KbdXJORw1\naNDgChrh1eASQQF6apb15OpNI6LJRjRtiq39tkLBVZJj0UZWTZJC2ZXUnlybN1dSqb0mJ8TY3ssr\nK8QK0m1SEXCJm3eMFM7vTpnCtmG/GzducPz48fsGxzwN/PTTT7zzzjtPuxvPDCRJokmTJjRr1owP\nLTNS5RRcv36d/PnzP+1uPBCioqIoVKgQQ4cOBeDixYtcvnyZxYsXU7NmTbp27cqMGTPo0aMHp10o\nrgCFCxdmzpw58tTK9lCqupUrVybtzh2Sr18HwODtTVidOnjmykXKjRssa96cjHv3+KV+fVZGRjol\nvW+//TajRo0CwM0AoiTYgmEVbNc+XkFU3OtspNcutZgkcf7CBb6fMpWIiDZcuXKVYcM+5ssvv+SV\nl1+R21eSWSvRdcpw70OK7ZFpBA83Fzs1aNAAaIRXw30QkttAs9q+XL2VRVqGqPaXyX4zSaX0mm0M\nkkoBUZJba8CajajaPp0uJuWnkhDbWyHUKq8tGE7iyi0jlUp4ULaw2uO2cOFC3nrrrafz5d4HGuF1\nxLx5855JNf6f4nlReK0YMmQIAQEBjBo1ilKlShEYGMjZs2fl/W+88QaRkZEOOa2Tk5NJSUmRtzt0\n6OBy9jmrqpsWF8fKyEh+DAtjVpkyrO7cGZ+QEN7Yvh0Aj4AASnXqRFRyMt0PHuT63r0cmzPHob0a\nNWoQEBDA5s2bMejNaQ5sBgaFwqtSdiXVqJaoumeZ72Nbt25j6NCP+ObriRQpUpRVq2J4551+hBcM\nV6nGsuVBQbDtVV2Xau99SLHRKOHpqSm8GjRkB43wargvfDwFIhv4YzQK3EsWndoZ5NySVrVXLlOQ\nU6WlQfHAUCq7DmUmO+XXpCTHaqIrq76SjQynpZu4fNNIk5o+hIc4SiArVqyQZ3h6lrBr1y4CAwMp\nV67c0+7KM4V8+fI97S48ETxvhBdg5MiRSJLEhAkT6NevHx999BGiQln9z3/+w/79+1V5fLt27cq3\n337rsk17VVc0GlnSqBHGtDR6nTpF7zNnuLRpEzcPHJBzihm8vKg9ejRuPj7krVyZumPHctZF8Nrw\n4cP54osvcDcI8vE2kiupLAySnI1BnfXFJEFc3F3mzI2mY6fX2bvvD7r3eIvvvp9C8+Yt1G05WeRz\nWtZkkuuKBEt22zjWM4ng46E9zjVoyA7aL0TDA0EQoGENb4IC9cTfMynIqcKvq1R7ZVuB2tJgH6xm\ncrHtSuW1Krr2Pl6l7cF6voRkEZMo0KGBH37ejv/VRVFk165dvPLKK0/hG80emrr7YuF5JLwAn332\nGQkJCXh5eXHx4kWmTp0q7wsKCqJfv37MmDFDLps6dSrDhg1z2Z69V/fKtm2YMjKIXLMG/0KF8AgI\nIKBIEfzt6inh7u+Pm2XaYXs0aNCA1NRUDh74E71OUJNM1aiVWtG1kt/9+w8yfvynvBsVhbu7JzNn\nzuLDD4dSunRZBTl2JLvYkWB7K4WNvFposOIYBzgp0gng4a4pvBo0ZAeN8Gp4KFQu6UmFEp7cuGPk\n1v/Zu+84qcq77+PfMzPbCywLLF2kqjQVG2CNBcWusUdN7OZJ4p0YnyhGo4l6Pxo13iYaVIw10UQs\n8VaKBVFUFAEVEGkaemcXtu/OzDnPHzNz5pwpCyiwy8Xn/XqNO3OdsmeWZPnym9+5rqpo2hQ5yRvF\nPOHTV9lN79XNGHSjis+/m97P672ZLfXGN9uWqmqiWrMxol4VQR17cGHW9/Lee+/puOOO240/ve3T\n0NCgCRMm6NJLL23tS8Fu0NzcrNra2oxzzu4J/vjHP8pxHJ1//vn6zW9+oy+//NLdlpeXp6+++sp9\n3b17d+Xk+D9pSa3qeuV36KCt//mPNi9YoLWffKJ/jBqlTfPn66lBgzT9llskSXY4rDkPP6yqxYv1\n2f336+3rrtOB11+f9XrHjh2r//f/7lZxgaXGZs884kqvxtqO1NTUrFdefVVXXnm1Jkx4RT/4wQl6\n+uln9cPzzlNBYaHnvgXHUxVO/wTM1yqhWLh1lCkYx67Tm2uTgdzxbUuMBwOOCvP56xxoCSutYYd1\n6xjSmUeXaMnKZs1d0qTiAksd2gVjsx5IkpNcUc1yn1vueGIFocQcvC3dl+z7+C6lry71L4vq+qiq\naqLq3SVXRx1YqLxtrCvfVgMv1d29y55a3fW67bbbdOCBB+ryyy/XmDFj9Kc//UkLFy7UPffco/vv\nv7/FY71V3U/uuUd9xoxR53jwrTj4YI284w5NuvxybV6wQP3OPls/nDJFzdXV+vuIEWrft6/2u/BC\nrZs1S5/cdZdKe/fWGS+9pB5HH531+51xxhkaO3asmmpWqCG3hwrzQvHfKZZsx5FlW7IsR0sXL9Wk\nSW/qow+n67RTx+h3d96p7t26yrJiMzxkWxPFVy1OnT9cySqyd/XI2CFOWpBtsd83frKGZltFBSHl\nbuP3HbC3Y+EJfC+2LS34T5OWrGpWSUFApcUBN/j6luZM/RpfgCKhxeU7E1WNDCHXkdTQZKuqOqrO\nZTka2j9PRdt588aRRx6pe++9V6NGjfoub32XOe+883T33XdrwIABrX0p2A1mzJihG2+8UR9//HFr\nX8r3UlNTo+7du+v222/X2LFj1bNnTz344IM688wz0/Z9/fXXdcYZZ6SNv3j00Wqqrtaln32mgKcS\nXLNypV489lhdvXSpmzTnP/WUvnrmGV0wbdoOX+vf//53vTl5ms676kH1qshRMBBbZCIYkN6b+q4m\nT3pTgYClM04/VSeddIICgfTFdqz4LzPvIhSJJ4mgK2UOu94KcvL3Wer0jxnmO7fTF7XYWBXR/vvm\nq083pmkAWkKFF99Z1I4taTm4b54G9MrV18uatGp9s2zHUlFBQCWFAXfu1ES4db+6Zd7Ms0f6//KI\nP/V83FffZKumzpaj2PRpxx5cpHbF2/+RXjgc1syZM9tc2P3qq6/09ddfE3b3IiZUeCWppKREL774\noh555BGtXr1aHTt2TFswZMqUKXrnnXd08cUXpx0frqvT+jlzlNe+vWb84Q8a9fvfu9sCoZBqVq5U\n1dKlKuvfX5KU1769QgUF3+laL7nkEo0dO1annF+lcMdO2rB+vSZPnqjJk97Usccereuu/6kGDuyv\nYMCS7Uiy4/NAewOv5cjza0xSShuCJ+SmfTqV9sjW95v8mq2dIRK1VFEW/E4/B2BvQuBFVtV1thqb\nHVXXRVVTb6u+IfY6HJEitqNg0FIkbCsUii2/mReSOrQLyXEsVddFtXB5swrypdKCoIqLAsoJxv6m\nSPwFke0jwQTvZw+O46im3lZdg63miFTeLqgD+uSqoiz0nXrXpk2bpmOPPTbjtuXvvKOFL7ygvLIy\nDbvmGpXtxvD56quv6uyzz95t3w+tz5TAK0ljxozR9OnT9eSTT+rmm2/2bbvqqqu0atUq/fvf/1Ze\nXvoSuAuee05dDztMI26/XRNGj1a/s85SxcEHS5KKunbVAZdcomk33qhj7rtPi195RZ/+93/r9O+x\nFPPYsWP16guPqC5SqA1rluiM00/VP154UQX5uQrEb2izbUeJMq4VX5nNkuW2ankrvAmZ27DiN6Sl\nVnbl6eX1HO8d8437grCjSNRRYX6swACgZQReuGzb0aattlatD2v1pnBsNaKoo1DQUm5O7JGXZ6kg\nXwpYgXhgDbgfs0VtqaFJCkdshSNSh5KgahocVdZIm6vDKi4MSvGb2UJBKRSylBO04h8lxn6tR6KW\nwlFHkbCjSDT2iz0YdGRZAXXuENR+vfPUuSwYm0fze8jWv/vN66/r7Z/+VIMuu0y1a9bon8cdpx9O\nnqyOnsnxIw0Neu+Xv9TR996rvHbtvtd1pHrllVf05JNP7tRzom0zKfBK0n//93/ryCOP1FFHHaVR\no0bprbfe0nnnnacHH3xQV155ZdbjHNvWkXfdpW4jR2ro1Vdr0o9/rEtnzVIwN1eSdNLjj+uj22/X\nv885RwWdOumMl17Svief/J2v89prr9WyFX9Qu14n6oSjf6NgILkCmyVHtqzYbd22IwUsWbbiFV4n\nVuF1rOyBN/E8nnrT2xqy9PimVHt91V0nPQBvqY1qcJ/87/wzAPYm9PDu5ZrDjjZURbRsbVhrN0cV\nCkjFhYl2hNg+vl/o28qZTvrTugZbtfWO6hqiKioIqHN5rkqLYjs0NjlqDDuKRhxZAUu5OVJBnqWC\nPEvFBUHl51nKywkoP9faZkV4R4wcOVIPPPCARowY4Rt/7pBDNPSqqzTsuuskSV88+qhWTZ+u0154\nwd1nzYwZ+tfxx+uGmhpZweRHievnzNFXzz4rSep35pnqtYM3xC1fvlzHHHOMli1b9h3fFfZEV155\npUaNGqUrrriitS9lp3EcR8FgUNdee62+/fZbvfTSSyotLZUdiWjT/PkqP+AAN8hmEq6r09NDhmj/\niy/WkXfdtUuvdfbCRlXVRFVWEnRDb+yrFLCs+FfJClixr0q2NUiZP6ly3P94bkxLDbxZwm7aUsUZ\n+34dRWxHlVttnTqqeJf+fABT8DnIXmpLTVSfzmvQpBl1mrOwSc1hqVdFSN06hdSuKKBAwNur5r8B\nLfawYjenJR5KuVHNc4NHcWFAXcqD6tMjV+1Lgtq8pVmLl4e1oSqqbh1DGjmkQEcdVKgjhxXosAMK\nNKRvvvr1yFOX8pDaFwdVkLdzw25TU5PmzJmTFnYlaeu336rLYYe5r8sPOEBVS5b49lk/e7Y6DRvm\nC7srp03TlKuuUkF5ucI1NXrz4os168EHJUkrpk7VJs/UTNm88sorOuecc77r28IeyrQKrxSblaW6\nulo9evTQlClTVFpaqvlPP61x3bvr2YMO0j+PO07NNTVZj88pKtLJf/ubZt53n9bPnr1Lr3VwnzzV\n1Nu+MOldaMK3pLCdXFUydTEd35zktn9aMv9UZU4swNqZenm9rQ6JzOxvb0g8Nm+xdeAAqrvA9iLw\n7mVqGmzNmNug979oUFPEUZfyoCrKgyousNKDrWW18PCG3+TUYxkfSt7hnJ9nqVP7kLp2DConKM1a\n2Ki3ZtZpQ1V0t/0MWpqOrPyAA7R6+nQ50aiizc36cty4tEns18+erS7Dh/vGpt96qw7++c814rbb\nNPrJJ3XuxIn6+M47JUlLXnlFqz/80N13xdSpev288zT5iis0b/x49y9++nf3TmvWrFG3bt1a+zJ2\nuuLiYt16662SYp+UvHX11Rpx22368dy5ymvXThNGj1a4vj7r8T2PPVbDrr1Wk378Y0Wbm3fZdebl\nWurfM0eV1dGUucRTQm/qCpHesOukPxwnsSBPcmEexzPLgj8Mx+fyVWrbQ6ab2Rw1Rxzl51jq3omu\nRGB70dKwl2gOO5q7tEkr1obVvl1ARfkBd5owzxffTWWeoe/M+9Fe8rXj29YUtrV5i612JQEdPLBg\nh2Zb+C5uvvlmlZWVZVzxacMXX+iVU09V05YtyisrUyg/X/uccIJOHDfO3efpoUM1/L/+S0M8H0H/\npUMHXfj++26vrxONau3Mmep2xBG+H2DTli16fN991X3UKJX06KElr7yioq5ddeq772r//ffXxo0b\nd+E7R1tUUVGhefPmqXPnzq19KbvM6+edp4Lycvf/R5GGBv1j5EhVHHKIRntWYksVrqvT3Mcf10E/\n/7kCoV0X7qJRR299VqeOpUEFAsk2hkC8jSHR0uAvCHinWsw814yTfJq86UwplVwnW49vpunLYmOV\n1bYOPSBf5e2YnQHYXlR4Dec40uLlTfrf6bWqqomqe0VIxfkB3x3G/mpsljaGTO0N2/EIpB6b+v0s\nKS83oG6dQrIsS1Nn1WnW141qaLJ32c8kW4W3sapKnQ88UNcsW6ZLPvlEVyxYoEhDg3p6ZnOINDRo\n84IFaRXezgcdpI3z5smJxirVVjCobiNGpP1rYcHf/66yfv10zhtv6MRx43T+1KnaOG+eXn35Zaq7\neyHbtrVp0yajw64kdRsxQlWLF7uvQwUFOvUf/9CC557TqunTffvWrVvnPs8pKtLwX/5yl4ZdKTYH\n7xEHFGpdZcRftfW0MHiXR09Wfz1V4LRHvLXBs5/jOS5bBTfruOKtDDVR9e0eIuwCO4jAa7DqeluT\nP63TN2vC6lER683NGDy1HQE309i2HhmOCaRtTwbfwvzYR3RbaqOaOqteqzdGdvrPpKGhQfPmzdNh\nnj7dhHd++lO9f9NNCuTkqOOQIfrmjTcUrq9XX88E+Ru//FLBnByVDxokSe5HrSf+9a/66He/08Pt\n2+ufxx2n92+6SetmzUr7HktefVUDzz/ffV3So4fkOJrz6ae68MILd/bbRRtnYv9uJoN/8hOt/ewz\nfTtxojtWvv/+OvTXv9YHnunLNnz+uZ464IAW+3t3lbLSgIb0zdfGLeGUQOuk9OimtDRk6eP1Blv/\nVyfeJ+ykhN/MYTfZ5uCotsFRh+Kg+vdKn9YNQMsIvIZauSGi92bVq0NJQB1KgymrnaUHXWk7Aq7S\nxwMpj0zHB1LPkzEYJ4NvaVFAHdsH9cWiRs1d2rRTfy6J6u49f1uhkZd/rnc+3eJu2/+iizT7f/5H\n7/7sZ5r1wAP65K67dMx99ymnsNDdZ93s2Srq2lXv/fKX+mu3bto4d64kqWzAAF25aJEufP99jbzj\nDs3585/T7kJ3olGtnTFD3Y880h2rWbVKgZwcPfPCCxo5cuROfa9o+/aWwJtfVqYjbr1V7/6f/+ML\ns4fedJM2zJmjzQsWSIp9UnLpnDnKLSlplevs3TVHPSpyVbU14guyUcfx9d0m+3xTqr6ZHp59HU9Q\nTp2JIXlDW0rYjYfgSMRRc9jW4YO/22IbwN6OwGuguUsb9cWiBnUpD6YE1AwV3QzPlWlbWvC1FEid\nqcGKj8lqIdgmnyeCcMBKCb7x/TqVBbV2U1jT5tT7FqH4PubPn6+6nCN0+yPLNWNujc7+5QJ9vrBW\nktT3jDN01muvqX7jRq368EON+v3vNfTqq33Hr581SzUrV0qOo/PeektdDjnE3WYFAqo4+GAtfukl\n7XPCCeo0dKjv2K3Llinc0KBOw4a5Y5vmzVN+9+46YNAg5edzx/XeZm8JvJJ06I03qqBTJ70dn/JP\niv1/JpCT45vFpF3v3q1wdUlD++apc3lIlVsi6aE1taXBreQ67nYn/khWgh1fK0PqrA3Jqm7mG9oc\nx1FTs6MtNVGNPpwpyIDvils8DTP9iwbV1kfVuUPIV9VNW+LX/Y/81d/U555jU2UctTJvtRzJsRx3\nS8v5NXGso7KSoOoaHb0+vVajDy9Uft73+zfaRx99rMVrj1TUjl33K5pMAAAgAElEQVRBbUNEd/75\nU732yPGSpJ4nnqg+Y8ZkPT6/vFwXvPeeW6UN19bqiT591OnAA9XlkENUvv/+mjt+vC6YOjXt2MbK\nShV27OirGK+ZMUONXbroqCOO+F7vC3smU2doyCSQk6MzX35Z/xg5Um9ff732Of54fXb//SqsqNA+\nxx/f2pfnc2D/fH1uN2rt5og6tQ/Kv6ywkywgOIqNx79K/t98TsqTxI26iXG3fcEz7mttUGzFS8uS\nThlZknpLAIAdQIXXEJGo9OZHtQpHbHVoF/RUUq30sJuo4qqlSm/LN7K11KaQfVvKtGbbbH2I7VdU\nYKlTWUCTPqnT5urvdzPbkiWLdd2PDldeTuyHUVQQ0A0XdXG3//GPf3Sff/LJJ2nHH3v//b6WhEBO\njk5++mn1OOoobV6wQNNvvVVdDz9c3TK0Jzi2rUhjoyINDe7Yt5MmaYFl6aijjvpe7wt7pr2pwitJ\nJT176sLp07X2k0/0vxdeqPIDDtCPPv1U+R06tPalpTloYL4G9srVus1R9ya0rC0NWfp4fTetJW5i\nS/Tw2v5FJvytDsnZGNoXB3X8IUWEXeB7YloyA0SijiZ+XKeO7QIKBpNz5CoeVt1w63nureImq77J\nwbQKcEKmsSwyVjfiT5IVjthAaoUj26pEq9aHNfqIEhUXfrff/sFgUOFwWM+8sVGTP6zUXT/rrf69\nMvfETZkyRaNHj5Yk/eUvf9HPfvYzSdKyZcvUsWNHFRdn/njRjkQy3lVes2qV/rbffup84IHqf/bZ\nWjd7ttZ89JF+19ioLw2flgqZXXvttRo+fLiuueaa1r6U3coOh9VcW6v8srLWvpRt2lwd0cyvGpUb\nslRaFEj7B3tLn44lOO5/MlV5vdOVxX4XNjQ5qm+wNaBXrvr2yL4iHYDtR+A1wOsf1KhTh5CvFzYR\ndn1VXSnLmCfopgbaLKF3uwOvk3nMH3g9wTfbx3tKVj3Wb47qmOEFale0Y9PyfPPNNxo9erSWLl26\nQ8dJ0ubNm1VeXi5Jeuqpp/SLX/xC3bp10/Dhw93HwQcfrNLS0hbPU7V4sWY/9JDWzpwpOY76/fKX\n+vEf/qBFixbt8DVhz3fGGWfo6quv1umnn97al4IWhCPS/G8atWJDRO0KAyoq8H9ylrVA4JH9H/zJ\noNsciS0X3L4kqCF9clVWytRjwM5C4N3DvftZnUIhS/m56ZVd3+wLUobqrpUxEKcvRpH+S9zy7ZCF\nk5Z3fTefpVV1lfzFL1/QTQ+9qzaEddYxpQruQFPOpEmT9Oc//1kTPVMjfR+LFy/W7Nmz3cecOXPU\nuXPntBDcvn37rOd48sknNWPGDI0fP36nXBP2LIceeqj++te/6hDPzY9ou2rqbM3/tkmbtkZUkh9U\nYWHid23yl2FLrQe+33+eBXgamhzV1keUGwpq2IB8dS4j6AI7Gzet7cE+W9CgqC0V70DYTY4nIq8y\nBGGlhdzUX+K+lYVSf8E73vEW/j2VcqNH4pa22PMMxzmJC3HUuUNIb31Sq1NGbv9dy4sWLdLAgQMz\nbvv44481duxYTZs2bbvPN2DAAA0YMEAXXXSRO7Z06VI3AN99992aM2eOOnTokBaCO8R7FqdPn551\nmWOYb2/r4d3TlRQFNGJIgbbW2vpmdbNWrQ9LlqXCPEvFRZYCiRvZsvBWeWvqbdU1xmZ96FgW1PD9\nitSlnKAL7CpUePdQ36xq1sJlTepYFsoYdjMF2bSwu42ga/kyrT8B70gHrb+X18nwcV7yq7/q66RX\neT3baupsFRYENGI756X86U9/qiFDhuj6669P2/bggw9qwoQJ+vjjj9O21dXV6ZlnntGKFSs0atQo\n9+Pn+vp65eTkKCcnp8Xv++2336ZVgktLSzV8+HDNmDFDH3zwgfr27btd7wFmCQQCikajWWdCQdtm\nO1Ll1qhWbwpr3aaImiOxm9LkxG7CDYVif66RqKNoNPY7NRhffrKiQ0g9OgXVsX1IOSH+/IFdjcC7\nB9q0NaqPvqhXl46hZJDNEnb9lV4rvZqbIfRmvYktYTt7eL0y37QR/0gva+BNtjhkXH5TjjZviapf\nj1z177XtGzuOP/543XrrrfrBD37gG7/44os1Z84c9ezZUw899JD2228/BYOxSsuWLVt07LHHqnfv\n3srNzdWUKVP085//XHfddZcefPBBjR07VkOGDPFVcAcPHqzc3JavZ9myZZo9e7YKCwt1yimnbOdP\nESZZv369hg0bpnWepXSxZ2tqdtQcdtQUceLPbTmOpdycWNtZTij2KMwn4AK7G4F3D9PU7OjdWXUq\nb+dZPS1LG4PvdYZ5eNP6d1OCbos9vDv4+zpT727ii9vL5g2+2xV6E1P3RDV8vwJ12kbfW8+ePTVj\nxgz16NHDN/7II4/olltuUVFRkTZu3Ki8vDwdeuihmjZtmm644QZVV1frqaeekhSbueGHP/yhampq\n1NTUpLlz57qV27ffflvLly/XxIkTlZeXp4qKCg2KL0EMpPriiy/0k5/8RJ9//nlrXwoAGI95ePcw\nXy5pUn5uMrVaylTJzR523Spw/EDfmJScckcZtnsfmcayPVraV4r1vXm+b8b5e5Vp9bbYWPuSoD5d\nUN/iz62+vl6VlZVpYVeSfvzjH6uurk6TJ09WTU2NjjvuOBUWFioSiejpp5/WBRdcoMbGRtm2rRNO\nOEFvvfWWHMdxg/HVV1+tgw46SIFAQI888ohOOeUUvfLKK/rwww+/x580TEf/LgDsPty0tgeprI5q\nzaawunYMecJhstSaNj1OhrCbqdUhNpyh3cGzPe2598K2o9pryXMvmyM5qce4N6RJvvKvdz/HUvod\nIZYCAUcBy9KSlU3q3zMv4/dfvHixBgwYkHHb559/rtzcXA0aNEgPPfSQli9frunTp2vmzJmqr6/X\n888/r1NPPVUVFRV69NFHddZZZ7nHLlmyRNdcc42uuOIKLVy40G1l+Mtf/uL7HlOnTtVf//pXlZSU\naOTIkbrgggtUUlKS8XqwdyDwAsDuQ4V3DzJnYZM6lAbcqq5SwmxqoE3MpNByX6+nqpupIpvtuVth\nTVRfMzzk3bYDFWHv/qnfU/5H/G2pY7ugvlzSJDvLQmwtBd7Zs2dr6NChevHFF/XII49o8uTJat++\nvebPn6+ioiJdc801WrdunR544AH95Cc/0ZYtWyRJb7zxhi677DI99dRTuvTSS7P27W7ZskXnnnuu\nGhoalJubq7Fjx+pIz2pt2DsReAFg96HCu4dYuzmimvqounUKJSu48hRFEy0K7pjla0nY3pvYvD2+\nmft4Lf94S1LKwJbifbqW5N6ZllI1dvt7LW9NOPWkju9VYqykMKB5S5s0bEB6lbelKclmzZqlmpoa\n3XTTTXrvvffUvXt3SdKmTZt0wQUX6Oijj5YkXXTRRbrtttvcqcauvPJKffnll+rSpUvG8yb8/e9/\nV79+/fTGG29Ikn72s59p6NChikaj7s1x2PusWbOGHm8A2E2o8O4h5ixsVOeyoKdnN72VIa2dQVnC\nbErYzdT36wvCVkqlNnFMlkeghW3JfWLnC2S4hrRKr1K3WclrtBLXa6msNKilq5rV2JwelLdV4V2x\nYoVee+017bfffu549+7dVVFR4b7eunWrVqxYoW7dumn8+PE666yzthl2JenVV1/V+eef777u0aOH\nHMdRfX3LfccwGxVeANh9qPDuAVauD8u2ndicjt6KaKagq0RAlbtxW2HXe670Pl7Pamwp38f/xP8y\n8dUXPVN7crPv6dnXU9H1LWhhyfIs5ZY4S2lxQAv+06SDB+b7Trdo0SL94he/SP3mkmLTkh1++OE6\n/PDDfeNnn322Ro0aperqau2///6aPHmyjj76aO23336qqalROBx2921ubtbKlSvT5tONRqOaMWOG\n/vCHP7hjq1atUk5OjoqKijJeD/YOBF4A2H0IvG2c40jzvmlSp7JQxupuaqi1PIk0c9U3JeymBl/3\nefqyw2nPU56kZVmlNiCkti14x6301dUyhd74uHeT4+5hqV1xQGs3hVXTI0clRcl2gfLy8qwtDb/9\n7W8zjpeWluqNN97Q7bffrmeeeUaHHXaY7rzzTknSFVdcoRNPPFG5ubk64ogj9M4772jhwoWaO3eu\nAoHkByfLli1TQ0ODhg0b5o7NmzdPffv29e2HvQ+BFwB2HwJvG7dxS1SRaDKcJnhv4ooNJL+mzdaQ\n2L+FsOuv7iYXDk6fzcF/3uQFZQ68rozV3VSJ9JoyaW+G0GspOWbF90ucPhS0tGpjVPvHA280GtXb\nb7+t0tLSbV1Amn322UfPPPNM2vgxxxyj9957T+PGjdOzzz6rAQMGaPLkyWkhtrKyUh07dlRhYaE7\nNmPGDI0aNWqHrwVmIfACwO5D4G3jlq8NqzDfylzdlXyVXMsTVNPCbMqYpAxhN0Org+e41FBreU/s\n2dcnHkST05D5Q6uTLM+mpPfsode7q+PEa8NWMv6WFAb0nzXN2r93bNaEzZs3q7y8XDvbqFGjthlc\nbdtWY2OjGhoaVFAQWwJ50qRJeuCBB3b69WDPUVlZqeLi4m2uyAcA2DkIvG3cyg1hdesY8gVJX++u\nlJJCvQHYM2ZlWI0tJeymVXMzBF1vyE0NuBkLuGmDlmce3iyL/GWapcF9Gu/dTbkeb5U3FLLU2Oyo\npt5WSWFglwXe7dG9e3fZtq0TTzxRZ599tmbPnq3m5maNGTOmVa4HbcOaNWvUrVu31r4MANhr0ETY\nhm3eGpHteINrerrMVt2V5xArJZymV32ttJCb8Sa2+JMW58nN8sg8c4NnpobUR+I9tXBO3zV5rtGS\nVJBnaeX62E1lrRl4e/TooTlz5mjo0KF64YUXtGjRIj377LMKhfi35t6MdgYA2L34W7cNW7E+opLC\n5EITvqqtPIOe1979UgNwetU3pX0hJeT6K77bnq0hY4U3la8fIf48sYJa2spqiW/upBxuSY6TVnV2\nT2FZKimwtGpDRAfsm9eqgVeSBgwYoEcffbTVvj/aHgIvAOxeBN42bPWGiDq0C6QlSd/ctFL6rA2e\n54nqbupMC25Wjm9oKexmW3Y4e0/vdxE/2HGUFno9Pb1uVraSo4mgm7gex5FycwPaUBVRY7PT6oEX\nSEXgBYDdi8DbRtXU24raUjBg6W9/+5ui0Wh6+4D72tJZZ52pLhUVWau78ownK7QpYThL2H3u+ec0\nbOhQDTtwWAs9vf7KbybJ3l1vhE3bK+sWbwHYW+V1EsHecdyisOVIubnSxqoogRdtztq1a7Xvvvu2\n9mUAwF6DwNtGbaqKKC8nFu8qOneWbdu+QJra65qTk9NyddcTar19u97g6g+7yRaGSZMmqrAgXwce\nNCy9jcDzH1/WTQ2+vnaFZPuCG299rQ7xxOqTvFktUQROVHmTrQzeaq+l4oKA1lVGFI1G1bt37ww/\nZaB1rF27ViNHjmztywCAvQaBt42qqrWVG8+wp512mrIv65tepXWlVF/TK7yxr2nz9lqpVV6lV3/d\nseRAix0Nvsqum2yzz8/r+Cu9bu+uHM81WHIcx73GxBRnVjwQ5+cGtHlLRGvXrvXNgwu0NmZpAIDd\ni8DbRm2ptZWbkyEJZgqHnjCZDLbp04Yl97U8+yXHvcfKuz1Dq4M858/U3rB9PME38SWtTOyk7ZkI\nt4lrchLLC1vxtob4YYGAFI5IjU0R5eXl7ejFAbsMPbwAsHsReNsgx5Gefe5fenfKS3r55QnpO2QJ\nll988YWef/45LV++TMVFxTr22GN02WWXKi8vV5akqspKPfPsM/r8889VV1ur7t276ZxzztaJJ5zg\nhsfKyiqNH/+EPp8zR7m5ObrgwgvSwu6K5Sv0z3/9U/PnzVNNbY2KCgvVt29fjRkzRiNHjtiON5j6\nHlKCbwu7W06yypsMup5WBs8pLScWgpvCYoJ/tCkEXgDYvQi8bVBDky3LsZMDmUqnKUNLli7RHXfc\noXPOOVs33PALrVy5Uo+NG6eNGzdo7NhbFLWj+u1vf6tAIKBf33ijysraa+ann+rhhx9WU1OjTj/t\nNDU3hzV27C0qyM/XbbffpkDA0hOPP67a2hr3MpYvW65f3/Rrde3SRaeddqoqKipUW1ujjz/+WPfc\nc7cuu/RSXXDhBS2+v0TdNr1/15tik3tb8bFEn27imEQ12omXey0nGX4T5w5YthqbRIUXbUZ1dbVC\noRBtNgCwGxF426BoVHIC214TxL0pTdLkyZPVr19f/fjyyyVL6t27tyKRsP704INavXq18vPzdPDw\ng3XKyaeoZ88esixp3317a8uWKr34wgs6/bRT9eH06Vq3bp2eeOLx2IwPlnTzzb/Rtdde64bLf//7\nNZWWlOihh/6knJwcN4ufeeYZevTRR/Xiiy/o5JNHq31Ze991OpnaFjL278ajqnd3K9n5m7GVIXFU\nWpKOHdUUjhJ40WZQ3QWA3Y/A2wZFbccNcy7PDWdpN55J+sXPf65wuNm9kcySNHjQIFmW9J9vv1Wf\nPvuqR/fumj9/nr6aP8+9WS0cCWvr1q3asGGjFi1epG5du7phV5K6deumjh3LlZiLNxwOKy8vVzk5\nobQe33PPPUd2NKrGxkZZsrS+qlnti3OUn5tysZLS2hd84TdD76436Marvm4rg5V+utjBlgIBqTns\nEHjRZhB4AWD3I/C2Ac8//7y2bNnivm6M5GvlyrXuazfgZuLZkNqnmgh5UTuqpUuX6pFHHtVBBx2o\n3NwcNzxu3rwpFiJtW01NTSoqLkqeOh6KC/IL3FB72mmn6re/vVW/+c1vdPLJozVk8GBVdKmQJUtd\nu3TVDTf8QpL0wqQNennqJoWbbY29ah8dMaQkuYaE78KTSdVyJNvzfryLSiRaGdx2hdRqrtvK4E+/\nActSOOrQw4s2gxkaAGD3I/C2AePHj9eyZcvc16H8zrKLhkjaxlRfHitXrtS6dWt1+OGHuQetWLFC\nUqxKGwzGWiQuuugiDR48yK3OPvPM01qzZrU6de6kbl276ssvPpfbICupublZGzdtdAPyAQccoIce\nekgTJrykJ8ePV01tjTp17KQDDzpQp516qvr376/VG5o14d1Nag7bsiTdPX653nh4sCxJ8+bP1+DB\ng2U50ryv5mvQoMGS5eir+fN1wKDY+Pz5sXFLjuZ/FRuXY+mr+fPiz6UPP/xQy5etkO1Iti3ZjhP/\nKtl28nljJFfr1m2iwos2gwovAOx+224UxS43bdo0LVu2zH18/PHHOuqoo9J3bCH9Ll68WHfffbcW\nLFggSaqprdGzzz6rXr16qX///urXr5/69uurZ555RrW1tZKkRYsX6Y033tDxx5+gUCiko485WtXV\n1Xr//ffdgPvKy6+ouakpOfWZJfXuvY9u+vWv9Y8X/qFxfx2nH/3oEtXV1urGG3+lGTM+jh/ruBXi\nQCBZLU7MsOB/brnnTownWi6c+Gpq8jy3vNXdbfxcJOnyyy/TMcccs40/BWD3uPHGG3X//fe39mUA\nwF7Fcpy0blG0ss1bo/rV757T1Ckv6ZWXJyQXnUj08Saee8blOPrznx/W1KnvqnPnzqqs3Kzu3brp\n1lvHujeprVu3TvfcdZdWr1mt8g5l2rx5k0aMHKFf3/hr5efnybKkd999R4+NG6eDDz5ITU2Nqq6u\nVl1trcaMOUXnn3+eVq5Yofemvadzzz1HpSWlvunK/vD736u6ploP3H+/Xnp7o/751kY1h2397pp9\ndMigEvf9JWZZcBS/8cyRbMUCrePExmxHchKVW+9zt4qbvarrfb55a1S9u4U0sBcVXgAA9la0NLRB\nwe9Qd7csSzfccIMuuuhCrVmzRu3bt1PfPn0UDCRncujWtav+8shf9M3Spaqu3qoePbqrW7euydXa\nJJ14wgkaccTh+vabb5Sfn6+B+w3UV1/NV6eOHSVJgWBAL0+YIDmOrrjiJ/HvLTU1NmrturXqUlEh\nWdL5J3XSDw5rr7KSkEIh7xtKX10t0ZubaMh1W3O9U4x5B1JmYsjGkRS1beWFgjv+AwUAAMagwtvK\nHnroIc2aNcs35liFWri2RBtWL9TLL09QoKVlhbdR+Q1kGs90nrSx+GwPvtexr8///Xn988V/qkeP\n7urdex9FwmEtXLRQjm3rnnvuVr9+/ZJtCu5/PO8vMWVYYn7dREXXre7GKr2pVdz0Kq+jaAsV3qgj\nbaiMaFj/PPXonLPL/gwBAEDbRg9vK2toaFBtbW3KY6u6dO6kww47TNI2C5lZbc/MDjs0Fn996Y8u\n1Z/+9KBGjhihYDCo4pJiXXD++Xr88cfcsOsL0PFDly5Zokt/9CMFPEFbKSG7rr5Op592mqqrq5NT\nrFnS7++8U5MmT0q7xB/96Ef64IMP3Nf/+te/dPHFF+vSyy7Tiy+8KMtylBva3lv/AACAiWhpaGW3\n3HJL2pjjSG98WKPOHUK+sUwLrsU2KmNgzTKcwsr4NHmXWubdBwwYoIEDB/iCrZSsIru7Wp57yyz/\nvpJkOZbs+KISkrR+3ToVFBSotCQ2jVnGOXY9Y9dff7369usvSfroo480efJk3XvffbKsoG677Xbl\nl3TXUQcev82fAgAAMBeBtw2yLKmoMKhwxFFujuUm10Tu2+565fYl3m1fj+er5U2wycHY03hlN/bc\nH3jnzZuniRMnqrGxQY89Ni7WviCpQ1kH/fC885Xo3V28eFGsShyw5F1dOdvbGzVqlNvG8O677+qM\nM85Ujx49ZNvSueeeq6kffqL8X57w/X8IAABgj0VLQxvVviig5nBiiV1/idPxjmzHjVvflZtlM2Vc\nT6uCr083tac4/jU3N0dFRYUKBCy1a1eqdu1KtX7dWn3x5Re+1odPP/1Uww8ZLu8p016kvqn46+Ur\nVqhXr57ufXHde/TSmlXLlUNLAwAAezUCbxtV1i6o5uaW42qiSpp5o/+pk2VbtjPsaER0b3CTPwAn\n2hf2339/nXLKKSooKNAll1yis846U+vWrdX111+nxO1tW7du0by5c3XkqFHpN7ulvh/f69hNbnV1\ndcrPz3f/jRAMFmhL5fIdfCcAAMA0BN42qmO7oJoiWeKom2Ad/0vv9iyHtVjybSkkZ9LCjW7+Cm/6\nLBBPjh+vk08+Wfv06uWOvf766xo6dGiLy66mvk/v60AgqGg02QdR02RLTRu29S4AAIDhCLxtVElh\nQMFAbNqtRPjcVmBNTOvVUuLNGmRbCsk7ytf/YKW1N3w2c6bWr1+nc845x60AV1VV6c0339Sll12a\n/N4p39y2HU2cOFFPP/10rKqbuMD4+yovL1dlZWX85+Boc+VWdWxHmzoAAHs7Am8b1qNzrmrqorEX\n8f6F7QmsGSu+TvruLYfo5OB3mak544QPlhRubtaTT47Xr371SwUCyXLwE088oeOOO079+vbzf3fP\ne/7HP/6uf7/2b40cOcrdwfsehg4dplmzZ0uSmsKOFs2fo+OOHbnjFw8AAIxC+asN69k5qG9WN6us\nROmLN3ieZFrcwd0nPlODJc+LlJ2cLDOQeaeFyDhDxDZmgfDe1Jao5NbX1+vKK69URUWFG6SnT5+u\nDz74QCNGjNQf77/fXXDi+ONP1OAhQ91Uu+++fTT21t8qFMpV1HbcZYkTvcxnn32Wfv6L/9K9994n\n5ZRp5vRX9cGUp7NfIAAA2CsQeNuw8vYhWVZs9bCAd6YEb8XVcjyz2Mb38W3PeEjK9lhy3b4QnUzI\nLc0LnClEl5eX65prrtHo0aN911TeoVwXX3SxorYTn2JMitqOCgoK3Qrv0cccowMPPEg5ObmybXkq\nv/E+Zkdq375MD//Pw5r2wXRVNxRo6uR/qFevLlkuEgAA7C1YWriNm72wUZXVUbUrDiRvAIvf5OVd\nsSzbksEB7+uU4/3nybK8cHz/gO/86eewpOQSyBmO91Z5ExLBNlHRjdrx5YRTlgxOH48vHWx7lhH2\njDeFbW2psTVmZPFu/tMCAABtET28bVyvLjlqbM48/1hiei7HcbL22SZuZEtOYZbezOvdnnaalLaB\nRFXVe8NYaj9t8rqS1+aOxb8mQm5iP9tJv1bHsz3tPCljUnLf2npH+3bL2f4fMgAAMBotDW1cp/ZB\n5ViSLc+/ThItB5KvZ8DJ8MRKKaum3aSW2t+bmq2tlKfem+PS5sn1NPVaKRfkSI5luYnVUSL0+oOv\n4zjp4TdrCE4NwLHtkYijnp0JvAAAIIYK7x5gcL88baqMJtOdUqqpieEMJdrUQJhpWoa0AOndwzOY\nVuXNdFxqIHUSoTbRfuAo6sjXspDo27V9YdfxVH7Tz5kachPHba211aVjSMWF/E8bAADEkAr2AD0q\nchQMSs1RJ306Mc+LbC0FXukVUW/A9Sfe5DYny3HZgmhKq4Ltqeba3kcy7Drx/dyAbPvDbmol2HYy\nXZOj6npbg/rk7fo/FAAAsMcg8O4hDhqYr43eKm9KNdYb/rZV5fWG2OQOnhCb6ZiMATN76I1Va51k\nqHW8N6k57s1mbmXXF34dNwAnjk09d6bqblW1rX49cpSXs6MLIwMAAJPRw7uH6FIeUmlRQA3Njgry\n/HONJft5HbnTi/lCr+ObIiE5LVl8SjMruZuPlToWP0/qfp7e3cQzy5Gc+Km9VeZMQToRWG3PTAsZ\ne3vtTOE3ub2mwdYJfQq39aMEAAB7GSq8e5Dh+xWostrfyyultzCk9eKmlIIzV3C9406GsZYrvYmK\nrr9n1/+Iel8nKsBOytgO9PbadvI6N1ZFNLRfXnL1NgAAgDgqvHuQ9iUB9egUUk2Do+ICKx5601d4\n8C0sIcVnU3Dkn1ZByWkXMo17z50mQ0U3fohlObHqbvw8lrtfYtATpN0KrZPs9c0Udj0V30y9vZGo\nLVmW+vfM3a6fIwAA2LtQ4d3DDOufr/omO2P1NVnBzdKHuyM3nyml0pvSRuBWdBM3mnm+pvbsJheX\niFV5o4634uvt5U29kS15fvdryvdwbEdba20ddkBB6/2hAP9fbTIAABOuSURBVACANo3Au4fJzbE0\ncnCh1m2OxEPudrQ2OCnjaWNZQq97Hn+rgi98bkcrQ3pLg+O5eS3brA3e9oYM1d34NWzcElWf7jnq\n2D7YSn8iAACgraOlYQ/UoTSgwX3z9PV/mtS5LCRvi0Hagg8Zb0pzMt98lrjTLEXsLI7bnuCOJU4T\nb2WQE//2mTohkh0NaZXkRC+u7QnRTpaw6531YWttVB1KQ+rfk2nIAABAdgTePVTf7rnaWuNo49aw\nykqCmft5ncR/soThrDMuxHb29ucmtsXGLPdUiW2WN1unnTN5KW5ROl5V9s66kGhRSJu1wVFau0Nj\nc1TNUen4wfk7+JMDAAB7G8tJXZkAe5Sps+oVCEqFebEQalmWLEvJhxLPrQxj8fCasr8ybJP8x8r9\nanlnPMt4m5s3Y7utE0pvnUgNuv5+XU9Lg+1o+bqwzjm2VAGacgAAwDYQeA3w+vQadS4LKRDQ9oVe\nKWW75Qm5GcJvhuAb3+TrmPA9j3OLzJ7n6YHXE3YTr32rrjme/mFH66qiOnpogdqV0LcLAAC2jcBr\ngEjE0cRPalVeElROToZKr7wB1/K9lm+7lVbBzRR8pfTQm+ANvN7/YSX+V5YIu/LMAOFva0jp5025\nkW3lhrBGH16sogJKuwAAYPsQeA0RjTp6a2ad8nItFRcEWg693oqud5sUH88QfBPb3K9WxopufHNa\nG68TL++mVXeVXuV1UhabsG2pOWJr/eaojjm4UB1KqewCAIDtR+A1zIdfNqimPqry0mBaG0N624In\n2KaEYim53bst/tJNut52hoxSZmdIfM0012+mWRocR6ptsFVTb2v04UXKzcn2jQAAADIj8Bpo/jeN\n+s+asCo6hOJh1kqp8HqDrZWhdSG9lUEp25X6PAvv/7q8Idc7Y0OmZYMTX6u2RpSfF9DRBxXutJ8P\nAADYuxB4DbV6Y0Szvm5Ul/KgJ+S2UO1NuXEtNeD6q7rZ2xlSJacj84fc1JvW0vt5HW3cGlWvihwN\n7sM8uwAA4Lsj8BqstsHWh1/Wy7Gl8nbBrNXetJaFlFYGb7hNm4Jse1oZvK9T+nZ9SxYr1r+7tTaq\nprCjg/rnqVvnnJ3zwwAAAHstAq/hHEdasrJJ879tVnFhQO2Lkze0Sak9u6lV3WTS9fXvevbJ+n3d\n/6QGXce9Lt9qa45U32irsiaqfSpyNGjfPOXl0q8LAAC+PwLvXiIccTR3aZOWr21W+5KgigsD8XC7\njRkZvNsypNxMkdQ/HZmTHMs0B6+kpuaoNm2JqqwkpIMH5qukiCnHAADAzkPg3cvUNzr6cmmTNlZG\n1K7EUkFuwNfqIPnDr5ThZjV30D/mpDzxvk6EXCnZztAcdlRVY6sgL6ADB+SrvB1BFwAA7HwE3r1U\ndV1UC5c3a+2mqCxLKi4MqLggEXrTF5iIjarlPgavjNOROapvclRTH1U0aql9iaX99slTRYfQTnhH\nAAAAmRF493LhiKONlREtXxfWmo1RBUNSUUFApYUBWQFvz6613VlX8qympvg8unWOIhFHHdoHtU9F\njrqUB1WYT0UXAADsegReuBxJm6qiWrUxrLWbIrIsR9GoFAxayglZygtJVsBSICAFApYCVnKhCNuW\n7KgUtqWmZlvRqBSwLEUdW53b56hHRVCdy0LKCXEjGgAA2L0IvMiqpt5WY7OjmrqoauptNTQ5amyy\n1RyRIhFbgYClqB0LxLkhKTcUUGG+VFocVElhQPm5lkqLgr62CAAAgN2NwIvvzLalAF0JAACgjSPw\nAgAAwGjU5wAAAGA0Ai8AAACMRuAFAACA0Qi8AAAAMBqBFwAAAEYj8AIAAMBoBF4AAAAYjcALAAAA\noxF4AQAAYDQCLwAAAIxG4AUAAIDRCLwAAAAwGoEXAAAARiPwAgAAwGgEXgAAABiNwAsAAACjEXgB\nAABgNAIvAAAAjEbgBQAAgNEIvAAAADAagRcAAABGI/ACAADAaAReAAAAGI3ACwAAAKMReAEAAGA0\nAi8AAACMRuAFAACA0Qi8AAAAMBqBFwAAAEYj8AIAAMBoBF4AAAAYjcALAAAAoxF4AQAAYDQCLwAA\nAIxG4AUAAIDRCLwAAAAwGoEXAAAARiPwAgAAwGgEXgAAABiNwAsAAACjEXgBAABgNAIvAAAAjEbg\nBQAAgNEIvAAAADAagRcAAABGI/ACAADAaAReAAAAGI3ACwAAAKMReAEAAGA0Ai8AAACMRuAFAACA\n0Qi8AAAAMBqBFwAAAEYj8AIAAMBoBF4AAAAYjcALAAAAoxF4AQAAYDQCLwAAAIxG4AUAAIDRCLwA\nAAAwGoEXAAAARiPwAgAAwGgEXgAAABiNwAsAAACjEXgBAABgNAIvAAAAjEbgBQAAgNEIvAAAADAa\ngRcAAABGI/ACAADAaAReAAAAGI3ACwAAAKMReAEAAGA0Ai8AAACMRuAFAACA0Qi8AAAAMBqBFwAA\nAEYj8AIAAMBoBF4AAAAYjcALAAAAoxF4AQAAYDQCLwAAAIxG4AUAAIDRCLwAAAAwGoEXAAAARiPw\nAgAAwGgEXgAAABiNwAsAAACjEXgBAABgNAIvAAAAjEbgBQAAgNEIvAAAADAagRcAAABGI/ACAADA\naAReAAAAGI3ACwAAAKMReAEAAGA0Ai8AAACMRuAFAACA0Qi8AAAAMBqBFwAAAEYj8AIAAMBoBF4A\nAAAYjcALAAAAoxF4AQAAYDQCLwAAAIxG4AUAAIDRCLwAAAAwGoEXAAAARiPwAgAAwGgEXgAAABiN\nwAsAAACjEXgBAABgNAIvAAAAjEbgBQAAgNEIvAAAADAagRcAAABGI/ACAADAaAReAAAAGI3ACwAA\nAKMReAEAAGA0Ai8AAACMRuAFAACA0Qi8AAAAMBqBFwAAAEYj8AIAAMBoBF4AAAAYjcALAAAAoxF4\nAQAAYDQCLwAAAIxG4AUAAIDRCLwAAAAwGoEXAAAARiPwAgAAwGgEXgAAABiNwAsAAACjEXgBAABg\nNAIvAAAAjEbgBQAAgNEIvAAAADAagRcAAABGI/ACAADAaAReAAAAGI3ACwAAAKMReAEAAGA0Ai8A\nAACMRuAFAACA0Qi8AAAAMBqBFwAAAEYj8AIAAMBoBF4AAAAYjcALAAAAoxF4AQAAYDQCLwAAAIxG\n4AUAAIDRCLwAAAAwGoEXAAAARiPwAgAAwGgEXgAAABiNwAsAAACjEXgBAABgNAIvAAAAjEbgBQAA\ngNEIvAAAADAagRcAAABGI/ACAADAaAReAAAAGI3ACwAAAKMReAEAAGA0Ai8AAACMRuAFAACA0Qi8\nAAAAMBqBFwAAAEYj8AIAAMBoBF4AAAAYjcALAAAAoxF4AQAAYDQCLwAAAIxG4AUAAIDRCLwAAAAw\nGoEXAAAARiPwAgAAwGgEXgAAABiNwAsAAACjEXgBAABgNAIvAAAAjEbgBQAAgNEIvAAAADAagRcA\nAABGI/ACAADAaAReAAAAGI3ACwAAAKMReAEAAGA0Ai8AAACMRuAFAACA0Qi8AAAAMBqBFwAAAEYj\n8AIAAMBoBF4AAAAYjcALAAAAoxF4AQAAYDQCLwAAAIxG4AUAAIDRCLwAAAAwGoEXAAAARiPwAgAA\nwGgEXgAAABiNwAsAAACjEXgBAABgNAIvAAAAjEbgBQAAgNEIvAAAADAagRcAAABGI/ACAADAaARe\nAAAAGI3ACwAAAKMReAEAAGA0Ai8AAACMRuAFAACA0Qi8AAAAMBqBFwAAAEYj8AIAAMBoBF4AAAAY\njcALAAAAoxF4AQAAYDQCLwAAAIxG4AUAAIDRCLwAAAAwGoEXAAAARiPwAgAAwGgEXgAAABiNwAsA\nAACjEXgBAABgNAIvAAAAjEbgBQAAgNEIvAAAADAagRcAAABGI/ACAADAaAReAAAAGI3ACwAAAKMR\neAEAAGA0Ai8AAACMRuAFAACA0Qi8AAAAMBqBFwAAAEYj8AIAAMBoBF4AAAAYjcALAAAAoxF4AQAA\nYDQCLwAAAIxG4AUAAIDRCLwAAAAwGoEXAAAARiPwAgAAwGgEXgAAABiNwAsAAACjEXgBAABgNAIv\nAAAAjEbgBQAAgNEIvAAAADAagRcAAABGI/ACAADAaAReAAAAGI3ACwAAAKMReAEAAGA0Ai8AAACM\nRuAFAACA0Qi8AAAAMBqBFwAAAEYj8AIAAMBoBF4AAAAYjcALAAAAoxF4AQAAYDQCLwAAAIxG4AUA\nAIDRCLwAAAAwGoEXAAAARiPwAgAAwGgEXgAAABiNwAsAAACjEXgBAABgNAIvAAAAjEbgBQAAgNEI\nvAAAADAagRcAAABGI/ACAADAaAReAAAAGI3ACwAAAKMReAEAAGA0Ai8AAACMRuAFAACA0Qi8AAAA\nMBqBFwAAAEYj8AIAAMBoBF4AAAAYjcALAAAAoxF4AQAAYDQCLwAAAIxG4AUAAIDRCLwAAAAwGoEX\nAAAARiPwAgAAwGgEXgAAABiNwAsAAACjEXgBAABgtMD06dN13333tfZ17Bb19fW6/vrrVVlZ2dqX\nAgAAgN0ksGDBAr322mutfR27RVNTk8aNG6fa2trWvhQAAADsJrQ0AAAAwGgEXgAAABiNwAsAAACj\nEXgBAABgtNDXX3+txYsX68ILL2zta9nlmpubJUmVlZXq1atXK18NAAAAdodQQUGB8vPz1adPn9a+\nll2usbFRkhQKhVr5SgAAALC7hHr37q1evXrpnnvuae1r2eWqqqr0pz/9SaWlpa19KQAAANhN6OEF\nAACA0Qi8AAAAMBqBFwAAAEYj8AIAAMBooSOOOELFxcWtfR27RWFhoe677z61b9++tS8FAAAAu4nl\nOI7T2hcBAAAA7Cq0NAAAAMBoBF4AAAAYjcALAAAAoxF4AQAAYLSsgddxHEUike/9DcLh8A7tvzO+\nJwAAAJCQFngnTZqkU045ReXl5crLy9Ohhx6q//3f/92hky5dulTnnnuuunfvrtzcXHXv3l033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"text/plain": [ "" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Adding a Circleface to our current tree\n", "\n", "def layout(node):\n", " if node.is_leaf():\n", " \n", " # Create a sphere face with a random size\n", " C = faces.CircleFace(radius=random.randint(5, 50), color=\"RoyalBlue\", style=\"sphere\")\n", " \n", " # Make it transparent \n", " C.opacity = 0.3\n", " \n", " # And place as a float face over the tree\n", " faces.add_face_to_node(C, node, 0, position=\"float\")\n", "\n", "# link out layout to the style\n", "ts.layout_fn = layout\n", "\n", "#show\n", "t.render('%%inline', tree_style=ts, w=700)" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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qBw+fuIhHT6cmVw+am8hYu3Y9z00PxsfTmZe/KOV8si5DetNpKwgvXrxIZWWl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kZGRga7du1SaqX0Y83VUhmON9WJvaVu7Xv27FGaPHaE5qKGrlWDtX37dpPv8fb9gQo2H7Tm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\nAiwhRLuSkJCAj48Prq6uH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"text/plain": [ "" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# With Face, You can actually make things like this : (treeception)\n", "Image('tree_faces.png')" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "#### Second Exercice : Duplication|Loss history of a gene familly\n", "\n", "Data : genetree newick where I already add a feature (**state**), where :\n", "\n", "- state = 1 ==> internal node with duplication\n", "- state = 0 ==> speciation node\n" ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", " /-Dre_1, 0\n", " /, 0\n", " | | /-Cfa_1, 0\n", " | \\, 0\n", "-, 1 \\-Hsa_1, 0\n", " |\n", " | /-Dre_2, 0\n", " \\, 0\n", " \\-Cfa_2, 0\n" ] } ], "source": [ "from ete3 import Tree\n", "t = Tree('annoted_trees', format=2)\n", "print(t.get_ascii(show_internal=True, attributes=['name', 'states']))" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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iCRLxGMIjE/DoeCSbpvo68jIyUCWJcNBHbX0ztm2nasQkHSSJcNhHQoVkbQzJ\nTKIJk655EXTJYtVr77M5YxWebC/ejjn4Qj7CGXnkZmVimXXkZGv4/ZkEvWHO+9mZJPQMwA0iLpfL\n1W5V76+hrDgTXddIJk2wHVQJIj4NHypqMkFA0xnRqZCO2T5q6uvZWp9Es2UG9S6nKCsDf8BPuKAQ\nRVbxCJl4PIYVa0FPNBGr3k2HzBCfrN3I3976hJqERF5BFj88/0ROmDSC7KISvLqOLAeQ0isbCmQi\nmaUEArmAG0RcLper3YrGoiSNICCRTFqYSQufLAjZJk3796PKOlmFCiU5foo0QU1zE+VeDyVBm3K9\nhbpNG/DoHvoVT8S2TKp27MCIRumQl0/SjKOrCpvXf0b3ThWEsvbyzoptONUxPt3yPD/dVMUvb70S\nJcfbtqa6IIhEGNCAEOAGEZfL5Wq3JEXBcgSyIuHRVFqiMWxLpaUlRsJwKMoOkOFTCYVCzP1oHX9f\nthFFkjmjRxaevkVUVjWQFQ6wbPF7hENh8vMK+HDJUl7f9RaD+vWhqEMHOvccSEZmFtddUsyeux5j\nW109tc0G9/zpLaKmzG0PzkT3K4BAEgYQR0gq0Ax8F0Fk40Z46y24+OKjnpTL5XL9pzEMC1WRCfm9\nGMkENQ0tFGgqWZEISnqdkHkrNjDng000WtA9x8f40UPxixi+YDaSJLN153aisSQZkWzyS8vpOG4y\n777+Ch9+up5QOMCAPr3o3asnf7nlCj5t2MiWhij33fcmf3z2LTp1L+Diq85IL7MuI0k+EB4kkqS2\nHC22DWPHQu/ecOWV4PWS+cQTRy05l8vl+k8jCYGqyliOg+k4hPx+HOGgqBq6x0PQ72V/QxPzP91G\nnQUeWeLC04+ne3khmVm5KIpGfVML+/fXU7m/ge3V9XTs2p1hZ53Hfz8xmwln/xdJ02TTli1U7d5D\nhioxtm9/LvrRGB557Of4Ql5uv/N53pyzlLqqBhpqGqmtrqamejfNTQ3A0Qwi06bBwoWpReKd1CCZ\n3PvuY2gsdtSSdLlcrv8k3bp1RNchaRrEjQRCFvh9HjRdw6N7UXWNXQ1xdjUkUBGc0q+M0wZVYMRN\nWqIGtgDTNLGFhEfXUJ0Ey995ncWP3o6i6wRyc6mqbaBq334c28TnC6BFFRI7WjDj9fzyl6eRUxDh\n1//9OK/O+oBVyzby6YrPWLtmM3sq9wFfUZ118803H/HN3zB7duv0Xm0ky+Ky2tojvqbL5XJ9n4Qz\n/RjRJNGZtjiTAAAgAElEQVSWJLYjiCcNLNPE0TzIukrcSLK3thlZhsKgwnmjeyElm4hG41hWak4s\n1eOnvFMn7GQcxzYQZgKlsYpkSzPdx55Jv3l/p8ArkJwETU2N6IEImd4MsvFiFytcOeN03n3nM/72\nygJ+3nEK+CQky8ZKr7r4pUHk5ptvZuHChZx44olHdPOO46AcYvt3NmWwy+Vy/ZurqaunIKwR9HuJ\nJpKEIwH2V+/HsEySlkJjSwsNLXEyvTKn9y+lS7aHaGMDliOj6xqK7kGXdar2N2LbKkFVQnUkmmr2\nUbXuE8pHnYGcW0L1rtUEMzPZ/PFqHE8GncuK6VRcwrZdn2KpKiNO7Ixpd6KypQ7NUnAENLV8jYb1\nE088kZtuuunI7n7rVpg166BNQlV5OCeH4Ud2RZfL5fpeaY7FyAoFkSRBNJkg4PMQDgSwo6l5rgzb\nxrBNOoZ1hnXMQLFiCEBVFAQajXGLZkuiJgF76mLsqdxLcYaPUwZ1pXbjp5SPnkhF78G8vfJDouxm\nV6PDtjqTk048gf5qB2TLQ228HlXT8AV8JMwkUlLC4/NiK6kiwdFrE3nqKRg/HjStbfbJ/TNnstTn\nO2pJulwu13+SZCKJUCUcSRD0ejENAwWB16PR0NhMYyxJbVOSsCLIC+lEW5ppbG6mKRrHcBQMJYgh\n+bA1PzvrYuyIOqzaF2Xp1mpq9tcAgvIevfFk5LOn0aCmOUlVYzOPP/cis+e9z56dBo0NCZqTcWpb\nmrEUCaGpOIrSNovv0eviK8vwj3/A5s0wbx5cein1mzfDiy8etSRdLpfrP4ksQJVkZAnyczJSL2zb\nwqxtZl9DEzvrG2mMm1i2TGVtA1XCoTFm48vIR/g8VEUtWgyHjXsqWb9zL7XROArg1TRyS+s4BSjt\nO5DuA47jhVdfZ8u+BvY2RLFsiZffWUZeboghozvhl2xk3SEes9F1FUVWaaxrSuXxqD+FLl3g8svT\nK2m5XO3bzTffTH5+Pj6fj5deeumop/fmm2+SkZFx1NNx/XtyLFAdhdKifPLyIui6giwEsXiSxpYW\n6hqakGWJ+oTN9n2NbNzTwLLttfxjzQ7mr9rMsk3bWbx6PUvWbaa2JY7tQMIWbNzXQGVTapyH5A1Q\n0r03mi+D7fsbsC2LDL9KPN7CnspqklELI24hkgIrbmEnHayYiW2kpoJ31xNxfWei0SjXX3893bt3\nx+v10qFDB0499VSef/75by2NLl26cN111x3RuYsXL+Z3v/sdM2bM4Mknn2TgwIHfWr5a7d69G0mS\nmD9//iH3/yv5b/XXv/4VSZKwWteDcP3b8ig6EX8QybYRtoUiSTQ1NxNrrmPS8RXk+iTCHhkZm6Rp\nkrAcdjQkWL6rgU92VPHR+q2s2bYHWfegaxrCEWiyTGNLAkfRQNZA8jDwlClMv/CnDOnelW55OZzU\ns4JCv05FaQf8Pg+KqoEko6gKqqSgygqydLSrs1yuA8RiMU444QRqa2v57W9/S9++fWlpaeG1117j\nwgsvZNKkSXi93n85nXvuuYeysrIjOnf58uWMHDmSa6+99l/Ox5fJyspi1qxZ9O7d+5D7/5X8txox\nYgSzZs1CcUv///4sh3hznGg0SkFhDngsTCx6dM5haLdCFr6v4pFsCn0KHXMjJEyH3VGHrc0xWiwD\nwwHHEbQ0NSNJMpkhP5IEXlkm6A+mF7FSUDxh+o87lesDYXZt3ER93X4M1Yc/O4hpRTGjAk0HVVUx\n5Dg+nwcn3dXWLYm4vhP33HMPW7du5f333+fiiy9m2LBhjBs3jv/93/9lxYoVaJrGrl27GDZsGNnZ\n2fj9fvr168ecOXParvHqq6+Sk5PDCy+8QI8ePQgGg5x11lk0Nja2HXPHHXewcOFCAOLxOJdffjlF\nRUWEQiGGDBnypVVUL7/8Mtdccw0LFy5EkiQKCgoAmDx5Mh06dMDr9VJWVnZQb8WWlhYkSWLWrFmM\nHDkSr9fLiBEj2LVrF/fddx8dO3YkIyODyy67DCfdp16WZS644AKqqqoOmY8D8/91058zZw4TJkzA\n4/Fw9913s2HDBn7xi1+klz6FBQsWMGzYMAKBAMXFxVxwwQVEo9Fv8Om5jpVYNE5TUwzDFDTUR1EU\nlZxQkJKsILosU5ITojik0rMwRFFWkI75EXoWZZATUBGOic+nkZ+TTSAQICMjjF/XGNa9gisunMb0\nK2YgbNi8aiUP3Hozv73iKua88CpbdlfTbfBwho0YQbS2kpyAklqXREjYdmrVRNsBx/6KcSIu17dp\n9uzZTJs2jQ4dOvzTvq5duwJg2zZjxozhzjvvJCsri+eff56pU6cyYMAAOnfuDEBtbS233347N9xw\nAwAzZszgnnvu4ZZbbvmn695666189NFHzJ07l1AoxLx581ixYgWTJ0/+p2NPPfVUfv3rX7N48WJe\nfPHFtn/Fl5WV8ZOf/ISOHTuyatUqfvazn9G5c2cuuOCCtnN/85vfcMMNN3Dttdcyc+ZM+vbtS58+\nfbj33nupq6vj8ssv55RTTuHMM8/8xs/t66R/4YUXMn36dM444wyGDx9OTU1N2766ujomTZrEbbfd\nxhlnnMGuXbt48MEHaWxsJBAIfOP8uL5jqkzUSKApKjX1TWzfHUXDJiM/H1VRycsMoCLwagIHQSTo\nY0BFiLU1SSqb9xGPxfCEFLKCPmLxGCMGDeHaq6+mdPAQvJFMPnzjDf70yKNU1dWxfvt2SjsUEvB5\neWPRQh546H589j5iyn4aonE8uoYkK8iKjJE0sL6vy+OuX7+e2bNnH+tsfK+ce+65bN68mV/+8peH\nPa6srIw777yz7fd+/frx2GOPsXz58rYgkpGRwdKlS9te8itWrGDJkiWHvN6nn35K//79GTx4MADd\nunX70rQ9Hg/BYBBd19tKIQD33nvvQfmZO3cuH3zwwUEv8VdeeaWt/WTjxo3cf//9LFq0qK0k8Mwz\nz7B8+fIjCiJfJ/3XX3+dkSNHtv3+5ptvtv28ZcsWWlpamDJlCiUlJXTu3PmIBxC7vnuOKvBGNIy4\niek4JByLaKwJr68E0zRQZIGRSBLXvWzf38RxBfn4VI0RPUvYXtvE9roEsVgUryIR8vuZ9sPz6DJs\nOHI4gjCTvP3aK6xYt5amRILd1fupb2ogEvYTa47xwfIVTJo0iVnP3IsjZIQm8AY8JOMJQiEfupYK\nH9+7IDJp0iROOukk8vLyjnVWvjf+8Ic/ALS9VL+MEIK//vWvzJkzhy1bttDY2Eh9fT2mabYdoyjK\nQXX9BQUFLF68+JDXmzp1KhdccAGrV69m9OjRjB8/ngkTJnyjvL/33ns89thjrF69moaGBqqqqjj/\n/PMPOkbX9bafc3JykCTpoHvNzc2lqanpG6X7TdI/XO+ufv360adPH/r27cuECRMYPnw45557Lvn5\n+UeUH9d3TALVp4JXRjUt9ECAsKNQEPYhYkls00ZRFISsUNVssnFvLVkhL71LshlcmkNDdC/hSBYF\nWTl069KdjuWdkINhQEbYDiUdilEVhXjCwK/rFOblEYu1UJCXT1YggrewM1FJSXXUEA6GaWE5Nkgg\nq9/ThnWPx8Nll132pQ2brqNjwYIFrFq16rDH3H777dx3331cf/31XHfddWRmZnLSSScd9hxZ/vJm\nvfPPP5/+/fvz0ksv8cEHH/DAAw9wzTXXcMcdd3ytPC9evJjx48czY8YMLr74YvLz87nxxhsPe44k\nSQgh/mnbkTiS9L9I13WWLl3Kiy++yOLFi3nggQe45ZZbWL169SGrFl3ti6wr4FXAEUiagoRBWTBC\nSFGotR10TcHv17EtG1uSWLVpNx1ywnTvGqCiQyZ7G5LokVy6lFcgSx5MTUsPEhTIupdRY09kzdq1\nbKncS0s8waZtW/AHvOiqQryhgUhORyJ5ZbTU70FRFWThoCsqwk412MP3MIi4jo0pU6bwhz/8gauv\nvpqSkpKD9m3YsIEuXbowd+5crrrqKq688sq2fap65H+itm3Tq1cvevXqBcCdd97JU0899bWDyKuv\nvsqoUaO466672rZ9l+0I30b6tm3j9XqZOnUqU6dOxTAMcnNzWbx4Meeee+63nWXXt0zTNYJBH4aR\nxLIMElGHTI+Grsh4dQ1VVQCJWNLGiCfQfSq1MYOd+2qIGRa5GSFCWZk4yTj1iSiO7kldWKT+U9S5\nnE4di1mxbg07qiqRhKAgOxcnaRAO+lBUL6WlPYg6LQjFIWkYyCipidndIOL6Ls2cOZOXXnqJQYMG\nccMNNzBw4EBaWlp48803efTRR6mtraVr167MmTOHwYMHE4vFmD17Nlu2bDniNKdMmcLYsWOZMGEC\npmmyaNEiBg0a9LXP79q1K48++ijPPvssmZmZLFiwgGeeeYapU6cecZ6+iW8j/fnz5/Pwww9z1VVX\nUVZWxtKlSzEMg379+h3FnLu+LbZhYMfj6IBkClRFJqyqOLYglojh9XmwrCZihkXcdlAcQcJuQUgq\nCUdFVTyYtkVTQwPV9VH8Pn/qwpKEEDKejGx69uvPqnUbyM/LJ5KZSe3+GqZOP4e8SA5Y0K17X5av\nfhvVp+Lx+HBMgWODJKeqld0g4vpOhMNh3n//fW677Tbuu+8+du7cSSgU4rjjjuOZZ57B6/Vy9913\nM336dCZPnkxRUREzZsxg2bJlR5zmxIkTefjhh7nuuuvw+Xyceuqp3HfffV/7/J/85CcsX76cSy+9\nFI/Hw9SpU5k4ceIR5+eb+jbS79WrFz6fj2nTplFbW0tFRQVPP/00PXr0OEq5dn2rZAkhIG4YgEB2\nbFRZZn99Hes3bSORtElYgoa4iSMJLMtGNxUCviSOZLKnsYX63dX06NYLy2kiXr0PuvcAGSRZQiAR\n9HgpKShkX30jCTNJwkzw/tIljDl+BInmZgrziwnqOkKGcDCALCl4PD62bUutDSWJL1bgpt18880I\nIY58Ft9D2LBhA5MmTeKzzz771q75TfXp04dnn33WbRNxuVzt3oSJw+jRM5dEIg4KaPWNjPWGyAyo\nLFm7herGBLWNMaqb49iAkGRkWdC5QxahUIC1u5vZur+Jrp27oCoefnHpFYw4awqKz4OwTezmZqK1\nddxx0y1s2LGNqtpqmpubCQbDdC8r49c33kpp70Luuf8XaD4vqqqg6Tq2DR+8t5MXn1vsDjZ0uVyu\n9soWAgsHWzjEW6J0cBRKqyy8UYGqqVQ3RLGEBJJCwnSIGzamJWE7AlWW8Hk0FFVhZ9U+du+rZMWn\nK2iq3Y9wBJIDkgTvvfYKn362lvVbNtHU0IhX02hoamHp6tV88O4iPLpGIOhFYOHRdHyajldXUdPL\nDrrVWS6Xy9VO+bwamRkBkl4NKSZxVmYHIv/Ywl4jjoZEMmkiZBUhQFFUEA4xy2JffZze3TpTH6um\nusWkNm4gSaCqMn5NRRIOIh5n+8fLmPP3l9m4cwclxaX4NRVVVbCsJJqqM//tfzD5gjMRtoJHk8iM\nBJCFipEw0NJd7d2SiMvlcrVTsiyjKRIqDh1DPvJl8EoKnl3N6LVJQh4Piizj0xRyMwMMPa4/qq6y\nqz7K2p37KC7KRxYOHkUlJxJh6YfvsXje6zjJ1CDE1159hU82bUBVNcxEjGS8iZygj9LcHEYM7IeZ\naGbn1u2Ytk5z3KC+OUZzPE7cNImbqVmA3ZKIy+VytVMKEh5ZQygG5ZEQTswiqVpkoFFaH2O3prEb\nCyEcyosLGD5qGJ0qSpk3/wOWrN1GY4uFLCtIkoPP46FzWTkFRaXIms7Kd97mhTfnkZ+TRVlRAcW5\nOZRkRsgJR8jIz6MhmWTRsg/ZtHkDgVAEYUkkkWmOtqCgoGipQbZuEHG5XK52yrYFtXWNiGSUcDgI\nfhkzT8fYY1MseegRN6k1DZpVmWQ0SqY/jFIs88P/OoVPPl1HVWUdXkulPtmIAJKmlZoZuGofK5Yv\nRVcNxg/rSW1NNWb9Thwlk5jUTLNZDx4v23fuJhL0UJ20iHi9gISKQJIUdF0D3Oosl8vlarcMy8CW\nbby6jE+R0cMB9C5Z1HiSGIZJmaNxvBImK2GhCZluXXoSCeYQDmcwaGBvevbqjNfnIyMYpq6xmc27\ndrBh/RpWfvQ+n65dwakje+FTGgl6TYQcozG+n/1Ne4hk6tQ2NJERCpKb7cdMNmLFowhho3l1ZE3+\n/k574nK5XP8uhAyaTyUSSyBicSyvji8/Qv7wcrYv2IialCiUVIYqAT7dWkXVnhrycopIVJpkRXSa\nMqNYzlYyIhnUNtRTXV/Pq2++Rn5eFpoWo3OncsKRCL7MfOa/9ncM2QA5yd7qSp59fTl9h3ZhX9NO\nfKEAJjbxRIKsrCxUVUXTqwE3iLhcLle7pcgSUixOV4+XsO4hmbSQhEm4ay4dNZ2VLy9DGBJBHLqi\n8ffHn+LC635DyBemrqmG0uJSPL7VfLxuCwIJSYKa2lpKq3307pZDSZceDBx/LgKV7MLOzH/5SSzb\n5pPVG0A1Ke+fw7qda4gbNt6AF1WSidY3kZ2Ti+R28XW5XK72TRaQEY/Tr7yE/Kw8KnfsQpUcNL+H\nrG55FA4tY+MHmxEmqAiMTVup3bydTr06I++0iBpxhg3uy3ufbqKuyUAI6JTvp1/PYnxeQV7H7kh6\nGCcWp2PP4ZyiRcgq78T+3XvwhgMsWvw41aaBZAlkWSIcDmEnbPyajic9e7XbJuJyuVztVEBTKPdq\n5Ph96KpCZmYmHl8ATzAMHo2sHvk4pX7qFJsaK4mRSDLr/geJ1zWSn5lJS1MD3cqLOG/iCVQUZVOa\n56N750wk1SE7Mxu/7sdpakJSVdZ9/CnFvUeTkd+HikGnUFJxHOPGnElpQZjs4gg5hdnk5OeTkZVJ\nwKeDk1qU6j8/iFgWPPQQHMOpVlwul+tIBCyTIo+C7lGxjCSKLOHx+1FUHZDx+L3kdytEFAVo8cg0\n2zaVe6q47cbfsXb9enRdYffu7VR0zOb6GecyeUIfsrO9BMMZ5OYWollA0mDDP95m95ad6MHIAamr\nFJQeT3lhMY6VBOEgCwvVq2BqDsr3onfWPfeArsOVV0LfvjB6NPKhpwpzuVyudkerayBL15BlDQmB\nYRrgSCRjSSQkNK+HzhVlZBaEyO2cRbAgQEISbNi4g1vueIKln2zAMAQ7duxg/sK3kSWJnhXdCegR\nOnbqi2SrLPv7a8z53e/p3qMvcODaNxKSmkPPrmPIllVURcaybCQVLMVB/Y9f2fC99+Daa0GI1Jfj\nwLvvcnck8tXnulwuVzvgQ2AkElhmEoGC1+fDcWQSCYP6/dVompd4IkEoI0hTIklBWRZG0Et0bwtV\ntVGefPpNCgsy6Nu3M8VFZTjCICMjg5xwhD6DR/HOc6/y7IOPcuKJY+jY51CT0ur4It3o1qETq/Zs\nIxGQCXpD6LqnbYXR7zyINDc3c/PNNx/1dC598UXyD1hWtdVJTU2sP+qpu1wu17dBIhaNEY/F8AUz\nUD0K8ZYEXn8AJI14IollC2Kmgez30twSJzs3SJdAAD3HYPf+RvZU1rN7zzKCYS99e3fGMSCzu5+n\n7riTDSvXcu7lF3HyRRejhT2AA7QuPy1IrYObRUXFMLZX7UL2evFqemrG4PRR32kQ6datG/fffz9r\n1qw56mm5lVYul+vf3eUzLya/qARfMEI8aSHL4EUgywolAwSmkSAeixKs3Ucw4EVCYAmBLMsYSQNd\n01EkCdtKvfaFLCPJEpZlMXBob8ZOHoXX66Vy/ZsokoSiKBiGgaIoqbEgmoZl2lgCBucNRFEkrGiM\neHM9wSIfcAxKIueccw7nnHPO0U/o5JPhxBPhC6WReeEwpUc/dZfL5fqXBcMhJFkiYSRBVhEIhARI\nYDsOSKBqKpFIJoaRQFNVAl4vwVAIyzSIRltSs+06Atu2sYSDEA5CKMiyRCQSTk2+mEyQjCdQFAUh\nBKZpIoRA0zQkKTUiRJYkHMfBNE0cxyEQTC3V/J/bsH788amGdUlKLUyvaTBmDNcWFx/rnLlcLtfX\nIisKthA4IlXRJCsKtuNgmCa2sEmaJpbtoGoe8vIKycktJBTJAhQcR8JIWtTU1pG0TAzLJJGIYVkm\n8XgLjmMhSWDbJh6Ph1AohKqqGIaB4zg4jkMymcQwTSRJwjAMTNPAsiwMI4ljfx+6+F5xRaqL7wMP\nwJo1sGABjiR99Xkul8vVHshSqllCUQgEg+nuvSqKqqB7NJAlNI+HcCQDWdGQZRWPx4+kaChaarum\n61i2hcBBUWQ0XUXXNSzLwhE2kiSwLAsAXdcJh8NtyUuShBCpUowsK+l1SxRkWUFVvy9rrMsyXH75\nsc6Fy+VyfWO27aRe9rKJLpxUT1NZQjiCmrpaAj4fHs2LQEKWU6WWZCyJ4ziAwHIcQqEQsXgLjrAR\nwsIwbAROWykEFIQFyCqmaSLLMj6fD9M0aWxsxO8LoHs1VEnCNAWJpEiXSFJNBf/5QcTlcrn+XQmQ\nUBCOwLYcbCOJYxokEjEiwRC2bZE0k+AIZEVFVVXAxjBiyAhsK4mMg2MaKDJgG1jIyIqCKoGdNLA1\nH5KQURUZ27ZJJOPouoqmKRiGQ31jM4WBELqmgm0QsyxAwjLdIOJyuVztmmmY/H/27jtOqvJe4P/n\n1DnTdmb7soWO0lEEFLEiSgR7iVeNIYlYoon6ytVEvflFjFFj9FoSY4nXeH9XjRWMsUSFGNQEBYmI\nSBGkl+11+mnP748zu4DdXxJdk+f9es2L3XPm1FnOd572fUJhMFQDzQ+Gu7U1NWPoGp7toBs6QlVA\nUVDxMUI6qvDR8FCEj5vP4ToF8Dwy3WlU38M1LKyIhm6CouvkfD2YWlcFVdMxNXAKWey8S0dHFzk7\nhOPuZEB1Ob5bwM5nyeVz5LMZQAYRSZKkfsuyLAxDx7JCKKrCrp07WfX220TCFmWV5dTV1RGJx1AU\nBc8Pqr40HywrTjaTpmALOtq6aWrcBZ6PqVms2bSFaYcdSKg8SjikI1Qd23FxvaANRNdCCE/Q2tzM\nu6veY+vOVvbZZwSKGE51RSkKYCgqheI4in/thnVJkqSvMNdzcJwCru/i+i51DXWUlibRNBUENLe0\n0NLSQj6fB0DTNTTdRNdDWOE4sVgp723YzPYdLWh6CblCmHUbmvjDMy+zfVsTuWwWVXhELBNFCYJI\nJp2ltaWTTNph0gFTUVSVurraoMtwOoXv2LiFPG5ezrEuSZLUr3meg0DgOja+cIhYFhMmjKepsZGu\nnm7qBzbguA49PT24nkeiNElZohxfgBAKvlDo7sqwc2czppEgXwixs6kLVdcoiSfI53K46CiGSUdH\nB4ovMHSDWCxKNp2hra2Vr59xOqWJEpp3bWfH9m042TSGKnBtGUQkSZL6Ncdx8FwH13UwQxae5xIK\nmdTV1VJRXUVzczOaoVNZVYUVDtPW0cGOXdvxbJdIJIYqVBLJJK+99jo1NYPY3tjBzpYWho+oJZ8v\noPkeHV2NmNE4kUiEyopyujo72LZ1M5YZoryyFMPUsJ0CigK5TIaO5kYUzyGTTgMyiEiSJPVbihIE\nEldkCVkW6XQPXW2tGIZJLF5CaWkpBcdm29atuL5PLB6nvCxJPpdj167t4CuUJEoYM3Y00XiUeA7q\nGwawz77Dyedz6EJQV1fHrtZOvEyGnu4uQiGdZGkc33PwRYGOzg5am1sQdp6G2lradm0nGY0QiwQj\n1mUQkSRJ6qdUz6WQSRFLmPiOy5tLl+K5BSrLy+lc201VVTWhUAhTVTAUhY6mXTRvXo/jelTUNODp\nOnWDGigtT+A6NjV1NgdMqKWmvAzcPDsad9DclSZWWkFnRxe1A6oJhS1s26C9qZFwWGVbYxtvLlvO\nPkPqGbXPKGoahuDbOaxQMLOhDCKSJEn9lCJ8HNvB9xyymRTlZaW0tTbR2taK7bgoKljhEKFQCMMw\nCEfCYCdQNZ2OVI5MLsOwocMJ1Vbhe04wH4nrkuroYOv2XSTLyhEq5LIpopaBqevoqkLecehoayVs\nRYjHkhx5xCHEI0EPsWRpKR2tBTwRpD2RQUSSJKmfEr6HpioI38fzPQYMqKa8NE4oZGFYERp37aKp\nqZny8nLMkImuG/ieR8F2QPjs3LaVQjZDdVUlrS3N1AyoRhWC3//+eWpryglHw5RWlDGwvBxD02lt\nbaUrlScSttDxGTl8CKFkJZqm0d3RhuvmUBWffCELfpD2RHbxlb4Sli9fjqIoNDU17bW8ra0NRVF4\n4403vqQz++I99NBDKIrSl+9I+teVSaXwXBu7kEcHTEMnZBhEo1FCIYvaunrGjhtPbV09FRVVlFdU\nUlPXQHlFBaUlcaorSqkoLaG7s53Bgwbi+x4d7W0MGVTD4IH1lMRjlJeVErVCRCyT6opSyhJxVOGh\n4WPqCvlsD6pwMVSBgo8QHrqukUmnAFkSkaSvnGnTpvHggw/2zSwn/etKpbqJCDDDLo5TAN9HVYIS\niqLpmFaQL0slyLJrGAa+EME6QyMRDWOogkH1daiGRshKUJEoocSysPM5DF1DVxWE8PA8gQAcx6VQ\nsCkvr6CpqZmKAfW4hTyObaP4PrbtIlDx5GBD6V/V888/z7hx4wiFQuy77748+uijfeueffZZKioq\neOyxxxgxYgSRSIQ5c+bQ0dHBxRdfTGlpKbW1tdx///2feZ8fZfPmzZxwwgmUlpZSUVHBzJkzWb16\ndd++xowZQzweJ5lMctRRR7Fy5cq+bS+//HJmzZrFD3/4QyorK0kkElx11VV969977z2+973voeyR\nkfr+++/vu56JEyeycOHCvnWTJk3immuu4dvf/jbxeJxBgwbx5JNP9q3P5XJcfPHF1NXVEY/HmTx5\nMk899dTnvOvSP4PrOKiqgqFruLZNPp9DUxUMw0TXdcxQqG+0uqKqGGYIVTOIxuKETJOQrpDqbCeb\n7kFTVVzHIZfJ0N7WCsLHdx3sQh5FNcg7Hh4qiq4TSySobRhIVU0tpmbi5G3cgovnCUwzjBWKIUQQ\nPiRq/vYAACAASURBVGQQkb5SPM/Ddd2+l1ec06DX+vXrOfnkkzn77LNZvnw53//+95kzZw5Lly7t\ne097ezu33norN9xwA/feey/z589n+PDh5HI5HnnkEc4880wuvvhiWltbP/M+P+jss8+mtLSUN954\ng5deeolx48axbt06AIQQzJ07l4ULF/LCCy8QiUQ49dRTEWL3fJwvvPACra2t3HvvvVx11VXccsst\nPP300x95rAULFvCTn/yEO+64g3Xr1nHhhRdy8skns2PHjr733HTTTVRXV/P4448zY8YMvv3tb9Pd\n3Q3AddddxxtvvMHTTz/N8uXLOeecc1ixYsXn/GSkfwZd1dA1FUX4qIqP77n4vo8QwdzrhVwOp1BA\neB6KL/BdB8ct4Hk2mqaiqCqmFcKKRMjmciiKgqpp+J6H7/sYpoFQgplgdSMEqISsCGYoTChkoajB\nyHhNDSarUhQV1/HIZbL/vgkYC4UCd999N1VVVV/2qUif0UEHHUR5eTkA9Z8yqdjtt9/OjBkzuPLK\nKwEYN24cy5cv5+abb+779p1MJlmyZElfddCTTz5JIpHgt7/9LQBHHXUUd955J6tWrWL69OmfaZ8f\ntHLlSr773e+y7777AjBx4sS+dbNnz2b27Nl9v994442MGzeOlpYWqqurATjppJN44IEH+t7z7rvv\n8tBDD3HiiSd+6Fg/+9nPuOmmm5g1axYA559/Pg8//DDPPfccF1xwAQA33HADP/jBDwA49NBDeeCB\nB1izZg1Tp05l5cqV7LfffkyaNAmg75ylL5+m6piajnBsCq6L6/u4IoQnPIQPnu+Rz+XRNDX4EiIs\nPOEiFMgVCtg+uGhoVgi7kEe4LqovSKUzGCEDzbHRfRfDsTH1EKqq4hen1/VcF13TUFDwhcB2bUKW\nQcjUMBUIqUFJ+N+uJPL73/+eyspKhBDy9RV63XfffUDwDf3NN9/sey1atGivz3ft2rV9D8NeU6ZM\nYc2aNX2/a5q2V3tCRUXFXr8bhkEymaSnp+cz7/ODvvGNb3Duuefyta99jZ/+9KesWrWqb106nebG\nG29k+vTpjBw5khkzZgDBoLJeqrr3f83999+fLVu2fOg4vu+zZs0aLrvsMmpqavpey5YtY/v27X3v\nM02z7+dYLEYsFusriZx11lk88MADTJkyhcsvv5wXX3zxY69L+mI5xVkFgaD6yjQRQpDLZnGcYAZC\nXddQilPX+r6PIgSu4wbVXE4QCFRVpSQeJxGP4/s+AwcPRtN1fN9HU1Rsx8ZxXXwh8IFCIY9tF4Iu\nwYqCphu4novt2HieG2QPLpacdYBrX7n2Qye/mMUczuFf3N36gowePZp58+Z92achfU4VFRX85je/\nYcKECdTU1PQtb2tr+9B796wW+ix6Z2/74LK/Z5/33HMPp59+Oi+99BLPP/88P/3pT3n66aeZPXs2\nJ598Mi0tLVx99dWMHDmSbDbLwQcf/In7653z+oNs26ZQKPDQQw9xyCGH7LUuFot97P72DFJnn302\n++23H0899RRLlizhl7/8Jf/5n//JjTfe+LmuWfrH83wv+HKhaghNQ+39slP8+7Rte6+eeo7joGrg\nuy5OoYCqKEQjUfK5ICgYqkYkEiGbSZHpzFJSmgABqqKSzmWJhCw838PzfVRVxfU9FNvGx8cXwQyH\nmWwO23XJZ4Okj/q1r1zLvMXzPvICgrZ6SfrqGDVqFMuXL99r2bJlyxg9evQXuk8hBDNmzOgrZXzt\na1/jmWee4cgjj2TRokW89tprfQ/9PdsuPs6SJUv2qhLrZVkWw4cP56233uK0007ba10wu92n8zyP\nMWPGMGbMGAB+/vOf87//+78yiPQD+VyefD6PrygYloXvAaqGWix5qKra10bSO+AQ4ZHK9pDu7qGQ\ny2PoBh3dnazfsIFoKMyYsWMRqkI4Fgt6cgmBYRhEYsG0uJquUMjnwHfR0QiZYRzPRTdNhKLgI8hm\ns/h7lkQk6V/FJZdcwvjx47nxxhs5/vjjWbx4MY888giLFy/+wvaZz+c58MAD+fGPf8wBBxzArl27\nWLduHaeeeiqRSIS6ujruvPNOHMdh69at3HXXXR/ax6pVq1iwYAE1NTU8++yzvPTSS7z77rsfebwr\nr7ySiy66iHg8zjHHHEMqlWL+/PlMmjSJOXPmfOr1nXLKKUyfPp2ZM2fiOA6vvPIKBxxwwOe6R9I/\nh6IopNMZYqoWBBIz1LsCQzfwPA9N0zAMIwggBKUQIQSFXJ54PE4kGiWaiNO4q5FEJEY0GoW8YGD5\nQJp3NWIZOuG4wPFcNFVF1TXMkInrgOe5qLqGgo+qawgEPqIvqMC/YZuI9K9t5MiRzJ8/n4cffpiJ\nEydyxx138MADDzB16tQvbJ+maTJ9+nT+67/+izFjxvS1j8ydOxeARx99lFWrVjFr1izuvvtuLrro\nog/tQ1EUrr/+eqZPn85TTz3Fiy++yPDhwz/yeOeeey733nsvv/vd7zj44IM588wzaWxsZMqUKZ/p\n+o4//nj+7//+j8mTJ3PUUUdRVVXFnXfe+RnvjvTPFI1F+0obITOErhvouo6mqaiqWuwxtbs9BEBT\n1L7ei4mSBI5tk8tmqSgvp6G+nkwmgy+g4DpYYQvP9bALDr7v43lBtRWqimEYqJpGNpfDcZy+Yxim\nSTaXw7QsAJR5i+eJj6vOOlwczuJ5i7+g2yVJEgTjRLZs2fKxPb+kfx9/u/88XFchEi3BiiUIR6Po\npo5uWXiajue4uLaDQvDlxfc9sqkeuju7SaeylJeVI/BIZ3uIxiIUcj5myKCpuYm62gGoCLKpNPFk\ngnBJAs2KUbBdPCeP6uZwCxnUkIWmm3S0tVPIZsmnesh0tJPPpDj95j/LkogkSVJ/VcjnMA2D1tY2\n2ts6sAtBjyxf+AgvSD9imgZmyERVFXzXxXWKvah8n3A0QjaXJZGIoWkK7214j9LSUpKJBIVcHl3T\ncT0Xw9AJW2FCpoUZCqNpBgiwDAPD1NENHdfzEb7Adz1K4nEi4aAkIoOIJElSP5Uv2Li+h6YbxOJx\nUFQUTcdzPRQIRqG7Lq7jIDwfRYChaRiKxuCB9Tj5LNu2bMLQNPKZLAqQSacpZHPs2rEDlaA7b1dn\nF57rInwXXYFIOISmqui6gYaKhkI8FicSjqAbOrpp4BQH+urXHH7NR3YdfOWVV/4lu/hKUn93yy23\nfNmnIPUTqmZgmhaKrtKTSmPF4hRsh1A4BAQj2FVFYOo6wvdxXRsFBdsu0N3VSU9PJ4ri09rSjOcJ\nNFXB91xamptQFMG6dWsYUF1NJp1hx44dVA6oDcZMeS6OXUAoIugJJhQQAs3QSZaVYWdShIptIjrA\nvCPmfejkr33lWtnFV5Ik6UskAB9IJMvoSedQNQ3P80mnM6iaQjhsoQDC8yjk89j5PD2dPQjPJx6z\naGzsJhqx6O7sIh5Pkk2n6O7sxLJMfM8lFgmT6ummdtAQ1r2/iZBlURKLgfAQvge6hioEhXwB3/ex\nHYdYOIyTz+AV44OszpIkSeqnVFWnJJHENENEY3HyeZt4SYJoLIpp6tj5HIV8DtvO49gF0qluGnc1\nUlVZQWtrM77nEjJ1Uj0phO8TDUfYvHkjuqYRi0YwDZ1MOh2kla+tpa2liWy6i3w2jaYqQc8w1yds\nWfR0dxMKhcjbBUzLQtPlfCKSJEn9m6Zj2zbhsIWqgOPYpLq7wfcRroup6Vimie+6pHp62LlzF8lk\nglw+S3tbK5qmYFkWvvApLy8nmUxQVVXJgJpqspkMuq4TL4mzefMmaqqr6WhpJdOToruri2w2h6Lq\n5Ap5uru60VQNu1DAKyY+dYqj5GUQkSRJ6qcUnyBbbz5FuruNuKUj7AJtuxrBtlE8HydXQLjguwqe\n4xOLmWRzKcxQiNLScoRQsKwQlmXiuS7hkIWu6yiqih4yKUkmKRRypHu6KU0k6WrrCvbnKZhWGNU0\n8NVgH6oAQ1HxHAdDC8aqyyAiSZLUT+m6guMUaGrcSSbTjaJ6RCIGiuKTTqfp7u7Ctm3y+TzZbJZw\nOIIQ0NLcTGlpGVYojBWyKClJ4LpuEDwUDcdxEYDwBVbYoraujl27dmJZFrZtgwDbsSkU8uiGgWka\nOI6DaZqUxEvQ9d3JTmTaE0mSpH5K08EK63T3pEil02QyPRTsAqap093VjW07KIqKY/tkMlkqKsrZ\nvGULFeVlxGNxbNsmnc7gOi49PWna2jqIRON0dnUTssLopomiaoRDIQwjRSQcoWnnLrK5LCHCKIpK\nNGLR1dmNFbKIR6OYGoRCISwrSMEiSyKSJEn9lsB1XUzTJBqNIoRA01RczyMajRKPl7Bz5y62b99O\nTU0NbW3tFPI2mmbguj6KouF5glyuQKFgo5smViRCW0cHhhkiHI2hasEMiWVlpezauZNwOIzv+1RW\nVqKoCp7nYYXDqJpaLJ0U8DwvmLAKWRKRJEnqt3TdoqSkjEwmg0BH0wxURUdTBb7wiEQiTJgwntaW\nDpqamujp6cHQdQzDwLYdurq6yGQyeJ5PwXZQVI1sNodhhNCNEJ4nsKxgjpJ8Pqi6GlTfgFCCtPJe\nJkMkFkYhCCa+ouKrQfZgx/43ndlQkiTpq8KxPQp5B00z0VSBpoUAHdPUyWZ6UJQgWWdJSQmJRJJc\nLkcum6Grq4dMJsP27dtJJpMMGTKELVu3oYfC7GpqIpfPYVghrIhFrpBHVVWqq2soiycRnoePwBMC\n1w2mo9Y0g5J4CYoQFLI9GIaBbgThQwYRSZKkfkrXVGyngAc4eKSzGXLZNiJhC0UBVXVwXZdcLocQ\nBI3npkYkmqC5pYmqqnIQgs6OFlw7z47tTXT3pNixs5P9Jw3DCmlUVlcifGhuacZQ9b65ShQglUlj\n22H03pKL46D4gkjIwjCCNhEZRCRJkvop13PRMfAQxJMJSuJxMt0ZFKBQKFAoFFAUhXhJHF3Xgyon\nBPg+I0YMo5DPETJNXKdAPBZj6NB9g8mrQjqKDqGQgR4yCFtRQqEw2VQaVVFQCQJJKBRCD+nooTCq\nYeJ7Hm4uQyGXBtkmIkmS1L8ddP6vAW2PJQKCRCcE/aK84vreWSwVwCV4tLuACTjs/ajv3YdX3Edx\nf8ID5YPv691n7zF3H3/f4lrZO0uSJKnf6g0gguChr+zxLwSP8By7H+5K8dm/Z5Dpfcy7xVfveq24\nzg9eyp7H6g0cvb/vuWzP32UQkSRJ6sc8dgcNjd2lg96gAmCx1wNfUQGb3Q/83vcb7H7k77l8j4Ah\nPHanffT56EACe4YOWZ0lSZLUb/U+0AUIA9H3wFdYv+ZvuM4uVry1nrjpY7s2dYMbGDtuMpHEEHRd\nJSh59D78e6u5YHcw8NkdEPxiAOoNGLC7uqz35z2r0mSbiCRJUj+nAjpCCDa+vwbh+3R1buKZxx9H\n3bGendtTjKpN0hO1CCk+W3IOf/RuJ21FGH3gdE47+0JKy6uL+9LYXR3WW6rprc5S9/h5zwCjFP91\n2R1M9q72kkFEkiSpn7rmstOwNMG4UbWUVyRZuyFF019fJ5xz8aJhTj18BH/e2MHQsEFaEYwdWI5Q\nIZ0uINb/havOfoaZc+Zy4hkXgO+x4f332WdEPYoaBsVgd5DYs6pqz0DjgMgXF0fYXWrpbayXQUSS\nJKnfqsx04eYLPPW395l68P48/dJyjhpcRnvUYOjAJNu6czTEQpTHNOyQQcbzGFAaI1mq0t6lMUWY\nvPPEA+D7zJz9Hyz+9Tz+n7+sYMigCqbtfzBTzjyLmn0msjuQ9JY+gpEpYIBiEQSPPXuB6fSWYGQQ\nkSRJ6qf2L9EpGTOA4w+zKJ8wky1vrabL9xgxIIatKVRXhmnqylM3uIJ0zsYWOiWDx5DO2gyM70AP\n91BVpvLyg7/lraXvsHPFeg6cNoyegoGX6OKSE8/kmxefzyFnnUsiWYKi9lZz6exuG9nzZ9jdoC97\nZ0mSJPVvikIh1UNTUyNPPPkkO1yF5lSB7Y1pBpeoeKgIS2PD5mYG1ZYycuQAKusHUVFeRrcIE4mF\nCUUtJgxLsGjRn5l9xDCmT6hk85otbP7bRi659HAyu5Yw/76f8e677+C5e/bO6i1j9PbU6jup4r9B\nMJFBRJIkqZ/alLfxfI9SU+PMUw/ngqMHcuSoMrothaXrOglrgiExkyHDati8swN82LV9By073qVC\nT2HqEE2EKSmPcNjQBH99ZR1vvNVMRwEGD0myZu0WKvMZauxtrHrmYQrpbkBBCAXh+whfYXeju1N8\n9fbgkr2zJEmS+rW7X25CcxxmTxtGZNMLhIwCwyvKOKLUYtn7XWiaSyGr4qRylBiCjl1thLQWyg0H\nhygDq0KkUim8RIhqUydRFuHIw/clPqSBypo4kS2bSKVt/F1dNGdbuem7J3DMGd8nWT+Q9zdsYvCI\noUyYdDBB6cMgCCK9o9vlHOuSJEn92n/OPZBIVYhMVxoj1c5AXCYeeyR1o6YycWwdS9d3o2o+G9/d\nQXtThjf+toUt73ezZVMK01DoyeTobsvS3JFDF4Lnt+Z48M87yazcyppnlpHXElTWVrDP6EpUVVBb\nW8kfHrufnU0tDBg2hJr6BnZXZ/WOMxHBvL3Fai1ZEpEkSeqntm3ZxkEjymm0Nda810p3qoVjC7/j\nGydPpnKfBH95eyc9OZfhZUm0ksGcfHgdWmELa7fkcDMF1rzXQliHQWGNF3dlGDlhCJVvrmeiCoqA\nzjVvsnFsFdaBQ9m5o4eJVVEqqizWvfwkF934P+ghE3CLPYD3HLBo0NvQLoOIJElSP5VpdxlcanHS\nqCQ9B9fy1BNrKE/ZPHDHYjoLHg4Kb/lxvnfmRDozHbz0+mt0NDscOn4A76xrJqmAknd5ZmUL+aoB\n2JsaGVJwUSrDuHmXpGEi3m1mTdZl5gmjePihtykfWEre8PjznxdSU1VDLJlkyJBh7G5cd9k9ct2Q\n1VmS9FV3+eWXc9ppp33m91955ZWcdNJJ/8Qz+vxeeOEFksnkl30a/U5JSMWJh3ni9++zZtlWDphU\nQUvIosfS6BIGE8bUs28kx3uLl7B12VoGKRDL5Xn7L5uI5D2aO7MsfLOFjozLxGGVVO/qokTX8FIO\nqi3QVIibOsM3trN6VTuJZAQrl+Wgw08jFo+zY9dOMl1tuJ4D5OlrZBe96VRkm4gkAXDcccehKAqK\nohCJRBgxYgTnnXce69ev/7JP7e+2Y8cOFEVh0aJFX/ap/Ns45JBDuOWWW/7u/TR22Gzf3EJlXRyj\nNsbaLT00NCSIlVjMOnkUG3M2b+cE72HwZpPDaztc0pXl5KoSPLa6lcXNOboUQVVlBe+v2EJIDXpW\n/SXn8FrOgbyPWWIQt3RKV3dw8LR9sDFZ/8rvGTNqPB3t7aAZdHa0Eww2dAGnmGNLNqxL0l5OO+00\nVqxYwcsvv8xVV13F6tWrmTx5Mq+//vqXfWp/l7KyMh588EHGjh37ZZ+K9DnFBg7Aj5WSzlrsbNPI\nFuCVV7fR2OWxbt1O3l25jdqaEINGJJlyYA2jRkQYWq2zeUMbhwxOcsiAKLYraM/baPj0KAopTzBB\n19hHVUi7PmSD8R6iM0WorI5jLrkOq6aOVL7AkCFD2LptK92dKRynN2eWEvTOEnKciCTtpby8nP32\n24+DDjqI73znO/zlL39h9uzZfOMb38Dzgv8wl19+Oaeccgo333wztbW1RKNRANavX8/RRx9NOBym\npqaGH//4x/j+7gFaL7/8MgceeCDRaJT6+nrOOeccMpnMZ9p20qRJ/OhHP+K0004jGo3S0NDAE088\nsde5e57HjTfeyIABAygvL+fKK6/sW6eqKueccw5NTU0fed3XX389Q4cOxbIsqqurOeecc+js7PzY\n+5ROp1EUhQcffJBDDjkEy7KYNm0a27dv5/bbb2fQoEEkk0kuuuiiva5jyZIlTJ06lXA4zLBhw7jt\ntts+9hjPP/88Y8aMIR6Pk0wmOeqoo1i5cmXf+ssvv5wTTzyR66+//iOvuXcf48aNIxQKse+++/Lo\no4/utb65uZmTTjqJcDjMgAEDmDx5MiNHjvzM9+XjPtMLL7yQv/71r1xxxRUoioKu7256vv/++xkx\nYgSRSISJEyeycOHCvnWTJk3i+uuv5/zzzycejzNr1izef38TAytibNy5k1eWbmBXxmFD1qXRcXAc\nnyNmT2RamUZZj011zmF8NMqIsMUZRw2moSzEW1szjBxYS83oSVRVW+ywPZo9n4SqUmnq+IBt+xQ8\nQaev0NlpcOSMo7ny1ntJxhTc7pWUta/C8TKsWvG34uepBiWR4phDGUQk6WOoqsovfvELNm/ezMsv\nv9y3/A9/+ANPPPEEl112GTfffDOO4zBr1iwqKytZsmQJ9913H7/97W/7qjM6Ojo48cQTOeuss3jn\nnXd46KGHyGazdHd3f+q2ve666y5GjRrFI488wtFHH80555xDS0tL3/qnn36aFStW8Jvf/Iarr76a\nm2++ea9z/iSxWIx58+axZMkSHnzwQZYuXcrll1/+qdtdeeWVnHPOOcyfP5/Ozk7Gjx/PggULuO22\n27jlllu4//77efbZZ4GgSu3YY4/lm9/8JuvWreOee+7hpptuYsGCBR+5byEEc+fOZeHChbzwwgtE\nIhFOPfVUhBB97/nDH/7AypUrP/Ka169fz8knn8zZZ5/N8uXL+f73v8+cOXNYunRp3/5nz55NKpXi\nj3/8Iw899BC1tbWf+b580mf6i1/8gilTpvCTn/yExsZGdu7cCcCCBQv4yU9+wh133MG6deu48MIL\nOfnkk9mxY0ffMefNm0dHRwfXXXcdF1xwAUaPx64VGxhbn+DcqTV8a79y5uxfzazaCLU5l0EJg9Wb\nMjS359i6y8asqyfRUIKm+HSLEOfMGMr+M05DiSaYPHUftto27zk+TY5L3vNxhaAgBM2uT6ahkveb\nWnjqgf/mB/9xFN8/51t0ZhsYe/zFjBw5lv0mT0ZVNPZODy97Z0lfgI0bN/LQQw992afxsa655pqP\nXVdfX091dTVr167l6KOPBuDII4/kpZdeQlGCr2KPP/44XV1d/Pa3v8WyLPbff3/a29u5/PLL+eEP\nf8jGjRtJp9OccsopNDQ0MGzYMI444ojPtG2v66+/nksuuQQI2m/+9Kc/8cQTT3DxxRf3LXv88cf7\n3v/YY4+xdOlSpk+f/qnXf+mll+71+yWXXMKvf/3rT93umWeeYeLEiUDw0L7jjjt45ZVX+u7L7373\nO5YvX84JJ5zArbfeyumnn853v/tdAAYNGsQFF1zAE088wSmnnPKhfc+ePZvZs2f3/X7jjTcybtw4\nWlpaqK4OUpsff/zxH3vNt99+OzNmzOgrnYwbN47ly5dz88038+STT/Lss8+ybt06tm/fTmlpKQDb\nt2/n5z//+We6L5/0mQIYhkE8HqempqZv2c9+9jNuuukmZs2aBcD555/Pww8/zHPPPccFF1wABH+L\nP/7xj/u2EcsfxhIO27e30NbtYXsFmlMuB45M0pJ1iGkqW7pcEmUmPUDjxhaqSh3+uqKR0fvUsXxF\nI2fcehxDuppY8N/XcuzXJ/C3+WtYqULY9ylVFWwBq/IOM6cN5cnFGxhQN4wrbv1/qampQVV9ggZ1\ngdI7XkT4gF1sF5FBRPoCnHbaaRxwwAHU19d/2afyka699tpPfU/vgxEgkUjs9fvatWsZM2YMlmX1\nLZsyZQrt7e20tLQwYcIExo0bx/jx45k5cyZTp07lP/7jP/qC0ydtW1VVBQSlol6qqjJ+/Hi2bNnS\nt8w0zb3Ot6amhu7u7s90/Vu2bOG2225j2bJltLa20tbWRkVFxadut+cxKyoq+jom9KqsrKSnpweA\nVatWsXTp0r6SCUAul2PcuHEfue90Os2vfvUrFi5cyK5du+jq6gLAcZyPPD7sfc1r167lsMMO22v9\nlClTuPPOOwFYvnw5Y8eO7QsgH+WT7ssnfaYfxfd91qxZw2WXXbZXKa+7u5tDDz207/cP9lBr2LcG\nMik0w+Wd9a04KCRjIQxTp6c9g5nuYfPOLD2ikxENJTz3zvvURTQymGxdt42KmedRNSBOVW0V1Awi\nnN3M5GOHseyP7zPI1OhRFd7JuwwZW899C1dy5GEzuejqKwhmRiwQjE5XQPGK/2rFaqzexIwyiEhf\nAMuymDt3LgcddNCXfSof67jjjvvI5U1NTTQ3N39qo/Se1SwfZJomy5YtY8GCBbz66qv88pe/5Kc/\n/SmrVq361G0/juM4n7jdnkHnk3R2djJlyhSmTZvGvHnzaGho4KWXXup72H5WiqJ86Hz2DCjpdJq5\nc+fuVbqCDweCXieffDItLS1cffXVjBw5kmw2y8EHH/yJ5/DBa/6k+6MoCqFQ6GPXf9p9+aTP9IPV\nYgC2bVMoFHjooYc45JBD9loXi8U+9jwSCYWsC07eYdHqTn542j7Yvs0zSzspq9bY+M5OaoYOYNQw\ni7UbWxheZZFuSjM4GqZ18HTOm/MNMqkUi5+7n0RmDRsa8wwoDzH1lH1obOoinYaJ5TFKS2PUNevs\nd9Qx9E3JK3qn2i2OTld6BxiK4uBDFwjJNhFJ+jhCCK688kpGjBjB4Ycf/rHvGzVqFKtXryafz/ct\nW7ZsGeXl5VRVVeF5HpZlcdZZZ3HPPfewdu1aXNfl1Vdf/dRtP0o+n2fFihV9VUl/j9dff52uri7m\nz5/PzJkzGT169GcqhXxeY8eOZenSpdTU1Oz1+qixIdlslkWLFvHrX/+aM844gwkTJtDQ0PC5jjdq\n1CiWL1++17Jly5YxevRoAIYMGcK6dev6Okx80Kfdl0/6TCH44mTbdt/7Lcti+PDhvPXWWx+6B5FI\n5GOvw3ezpDra2dqdoTIZobzM4OVXm2jO2exfZhKx4kwbHWXdpk6G6NCxuYO66jIyOnztpDMQbo4n\n/vc22t/+IyMr44TCSdZu8iiL+Ly8so2ujE1lRYyOHa1oIw9n+oyDAW/3uEIhijmyNBAO+Dl2nFm8\nWgAAIABJREFUpz0J7p0siUhSUXt7O2+//Tb5fJ61a9dy3333sXbtWl566aVP/GZ/0kkncdVVV/Gd\n73yHK664gh07dnD11Vf3VVssWrSIu+++m0svvZTBgwezbNkybNtmwoQJDBs27BO37fXHP/6RUaNG\noaoqd9xxB6WlpXz961//u695+PDheJ7Hz3/+cw466CDefvttbr311r2q1/4RLr30UiZPnsycOXM4\n//zzMU2TP/3pTzQ3N3+ol1YkEqGuro4777wTx3HYunUrd9111+c63iWXXML48eO58cYbOf7441m8\neDGPPPIIixcvBoLP7JJLLuGiiy7izDPPZPXq1dxwww3E43Hg0+/LJ32mEASxxx57jJkzZ9LW1sbM\nmTO58sorueiii4jH4xxzzDGkUinmz5/PpEmTmDNnzkdeh93TQ6bg8PaabibUxVj06lZq9z+UkqZ3\nee7dLGMPHsGSt3cwsT7Khk0t5CNxhg2MsM2cxMChA3jwVz8gs6OZck3h7e0qJ3zvOja/8ixvvPoc\n/zlnNJv/1kV9xEOUJagbORo8J6i66p1KV+n9uy9WZfXOgCg8UILwIUsiklT05JNPsv/++3PEEUdw\n3XXXMWXKFN566y0mT578iduZpsmzzz5Lc3MzU6dOZe7cucyZM4crrrgCgDFjxhAOh/nmN7/JmDFj\nuOGGG3j44YcZNWrUp27bK5VKMXfuXI499ljS6TQLFy7cq+vo/1/77LMPd911F7/61a848cQTee21\n1zjvvPP+7v1+0NixY3n55ZfZvn07xxxzDMcccwwvvPACM2bM+Mj3P/roo6xatYpZs2Zx9913c9FF\nF32u440cOZL58+fz8MMPM3HiRO644w4eeOABpk6dCgTtWo8++iiLFi1i5syZPPzww5x22ml9VVyf\ndl8+6TMF+NGPfkQ8HmfatGl9537uuedy77338rvf/Y6DDz6YM888k8bGRqZMmfKx19GVEuh1x5Go\nqcH1fd7rMjnh+1fwzuZWRu4/jFKvQCJq0qHGGXfCKRw6rpR2JUT9hP257b/mMNzIkGnuosUZyOzL\nfsKofevY1t7CSYfW8+77KbwKg/Y2G6VkKLNOPRbwi6WQ3mlzAc+mLwGjUpzdUOlNBw+K+JiKw2uv\nvRYhBPPmzftcH54kfdDUqVO57bbb+nWbSH82adIkvvWtb/G9733vyz6Vf2nXXXcdy5cv5+mnn/6y\nT6XPTy+YjmqYtKzZjmuVM/6kszl3ztkcfuCBHDmunLJolLLKEPX7nU5XxxZGRjfy349vYN9qn0MH\nl7JpXQ/+8Gkce94FVFck8H2XF597kfUvPogrXOoGxNjaFeV7835FtEQNkix6LqDtUcQozrWuFNuv\neksqQoBSIquzJEn693TnnXcyYMAA6urqeO+997jjjju4++67v+zT2ktuRxuN3R7qsAP49oXfZsq4\n0RgUuORHV/CnR/4HLW4Q9wwOmXk8D934Pd5IbeG4WkFzq83bSogp5/4XoyeOJRYKg+eiqgpTDzuU\ng448mmVv/o33XrwHt3s7mzavZdy4MQQN6hCUPDTwPNDUYqM64DvFbL5OsF6RbSKSJP2bWrNmDddc\ncw3ZbJZhw4bxi1/8gtNPP/3LPq29TLngWkaOHMrIQQ3gFPA9GxTBrKOP4p0/P83QqjzJ0V8nbHpM\nPO6b/Pxnt3BAQy37nngYkw6dQkNdNTgOOMVxHapKMmqBojLziGlsfvd1JpUuZ8Hj/0dJ/HIaBlWh\nar1FEB+0EEFg8egbou45oOqgylTwkvSV8MFeRtI/xl133fW5G+y/aCdNPwiEjyhkUYRA+B5Cj/Ln\nBfcyuLpAIRNixtdmIpw8B+w3lkcXPIKmFXtSeXZQkkBBKAoKAnw/aNdQAeFw8lnn8cKvVzMh1Mim\nDcvZuc1g+KABhGNhzGglQrgoegnCd/CFiud20tnWQ3vLDvY78EgUTQYRSZKkfsv3nL6xfT4C1Qjx\n9sr3ePmlFxnfECU94HBiloooCHzfR9MKCMcHBIoWpCYR+Ci9va2EjxAaiqqAEFSXJxCDj+HPi15i\nSP4p3JzOg5uaaGrtJKL5VFWXkclmGDKoFtOIUtAjpAsugwcOob5qXyqHl8ogIkmS1F+pmg5CIFBQ\nFZW2rk4ydg4rVEJrNs/AigrwgwGAigLCdUFVgnYLRQHXQVFVhBKsRxTTl3giqJJyC5x99pnU1zVw\n8CFT2dHYiHAdPDTCkTCJeIyQaWLoBrqhoigCRTGK1VvBOBgZRCRJkvqrYhZkRQlKJRWJJBUHlMOF\nV/CHu39CaWcTQvig6eB7oBa74AofRG+mXQVF08G1wQiB6yJ8D0UooGsYuBxy6CQsQ7BPfWXQkO4L\nUNVgn5oC2MH+CnnQzWKgCvYvx4lIkiT1VwrBwxxQUIIaKcfhwEkTKRkwmq73/kQmH8yXHgQQL2j7\nEARdcFERwkfYBVA1hOcWxxAWu+t6PgiBVSzxBMWZPUZ9qMW0J4IgaGh6MUAh5xORJEnq9zQNRS0m\nPdSC3lFCCAxcZn59Dprq8z+3/gShm0GpQYhizjCB8H2EL4qFEQU8D8X3EAKE8PqCU29bCQKE7xWr\nx4qlEF8EvX19Lxg/Uuzhhe+CGyTDlEFEkiSpn1JQEV6QAFEpPq5VTUV4DhPHjaRi3AmsfmcNf/rj\nw9jCRdGCEoZQ1CAwKD5C+MXOuUowBET4QWAqpjURgmLgoLicYlAptqsgdrexKL2pUBQoHku2iUiS\nJPVXxWd2b+nCFyA8F1U30RTBOefOoay2hqeffJSXn1nA1COO5fCjD6MkUQdKFOE54Lv4wkfVDfA9\nlL4Ao4PwggCj9aYxUYO6sd5SihDFPFm9pRV/d7UWcpyI9M90zz0wbRp8zHwRkiR9OuEXR5CLoAVb\nwUfVTXzfQygKqu9wwteOYsaMo/jzK6/w/rpN/OHSG1BpZUh9DeP2GcewkQ3sO+VohNub2r03bUkx\ng3Fvu4trB1VmQhQDRvF9vUEHZXdbi/D7Ao0MItI/1v/8D5x3XvAHpmkwdizGx8wZIUnSJ1M0DeGL\noA3CK4798P3iXC0KqCq+42IpcOzhU+HIQxHfO5f2ri7WbdhEy9ZGHn1pJecNmUptWQJFVYLqK9dB\n0XQEatDl11dAt0C4e08+5RWTLupqMR+jurtay5ep4KV/tNWroTfbqu8HrxUr+MVHzBkhSdJnoYDv\nBm0VmhY8vNVgYGFfg7augecgUFAEiHyGyohJ5f6jYeJYTjnlWFTFL9ZG+cWUJUEgCIJRbzJFivNP\nFX9QVRBaUOrwikFL+EH7iaZ/tpLIK6+88pmmDpUkgG8//zwD95i+tNeBXV0s8/2P2EKSpE+kqkHX\nXEARPqAifA9NN4Luur4XBAXdDFKc9PbMQkXxgjEeim8jlKCrr6rp9CZXFJ6HohZnKtR0cArFwCCC\nMSGuGwQU3dz9s6YH20FwPP0Tgsg111yD6OsuJkmf7pP+UuRfkSR9foNH7EdVRRLHttE1jbBh4Hke\nBdclFDIwdYN0JkeuYJOMRVFVBUwdxTTQdB1fCFTAskI4+TwdHV34ro+pKkRNA0PTEYqCHlIZe8AI\nBtTX0JNO09mTxjINTFMnkxUk49VEwxHsTCe657L+7bW8894W3lj7/ieXRORcItLncsYZMGFCkDV0\nD28kkyifcc5vSZJ2q6spZ1B9BblcgVDIIKrr6Aq0dqWwIibJWJh8wWdHczs15QlCmo6rCVLCx/FE\n0L6BIFESxtAiVFdFsXM2qm1TGrYwdB3V9yirCHHEUftSN3wg3fksW3Y20tbSQUVZKfUDJ1AaH0Sh\n0AOihbKQxdPhHpoynYBsE5H+kUaNgt/8Br7znWLRV4P99uOHqsrNX/a5SdJXUENdHbpm43senq/i\nCQXL0NEUQT6XRYRUoiGTkOLR09lBVTKJriiUxMK0d6bwPC+oEVNMUBRKSsLkdSi0Z1GcAoZw2Kcq\ngam4vPPcX3k/+Q6hcgtrUAXheJiSZBWVZaW4TgcV5QaRSCkxq4Qzzz+BvBm0dcogIv1jfetbweue\ne+CQQ2DsWNzilKSSJH0+La1tDK4vxTQNCgUHPB9dgUTYIIyOXsgTNUymDR3AoPIwbZ2dbOosYHgq\nB4wdQl1Zkkg0QknNADRVJyRUcrksbjaNme8h27KD2tI4b61ezxML36Itr1BVU8YZZx/B4SdOo7yu\nAcs0UdUoSnFmQ4FKonQg0WglIIOI9M9y4YVf9hlI0ldeJpuhYMcAhULBxSm4hFVB3HPoaW1FV03K\nBmg0VESoMwRtqR6GWCEaYh5DzDQdG94jZIaYUH88nuvQtHUrdiZDbVU1BSeHqWu8v3YdI4eOIF62\ni8UrNuO3ZFm58THmbmjiB9ddglZh9c2pLoihUAIYQByQQUSSJKnfUjQN1xeomkLI0ElnsniuTjqd\nJW/71JVHSYZ14vE4T7+xhj+8uR5NUTluVBmh8XU0NnVRVhLlzVf/Qkm8hOqqGl5fuoznty/kgAnj\nqKutZdjoiSRLy/jxBfXsvOk3bO7opD1l89+/XUjGUfnZr67AjGiAQBE2kEMoOpACZBCRJEnq12zb\nRddU4hELu5CnrStNjaFTlkigFecJeXHFezy5ZAPdLoysCHP0YVOIiCzhWDmKorJp2xYy2QLJRDnV\nA4cw6KiTee35Z3h95VriJVH2HzeGsWNG838//T4ru9azsSvD7be/wP2PLGToyBrOu/S44jTrKooS\nBhFCoQDIICJJktRvKUKg6yquFyRRjEcidHV1oekWpgYxS6e1q4dFKzfT4UJEVfjO7IMZOWQAqa4e\nOjp6aO/qprW1k+6sTVdBZdKRRzP4xDOZeso5vPH/3sGfn3+aDRs3UpFIMHjoIKaP348jBpqMHD2E\nCy+4hxt+/hgNdVUceOQ+qLqGL1IIoZDq6QJkFl9JkqR+a999B2GaUHBscnYeoQoi4RCGaRAyLXTT\nYHtXju1deXQEX5swmFkHjMDOOaQzNp4Ax3HwhELINND9PMsXP8+r996AZppEKytpau+iqbkV33MI\nh6MYGY381jROrpMf/GAWFTUJfvTD+3j2wSW88+Z6Vq5Yx+p332dnYzMgg4gkSVK/VVIaIR43MdUg\n+WGuYJN3HHxfoGo6OdtlV3sKVYX6uMaZh41BKfSQzWRw3SAnlh6KMGToUIYNrKOuMolw8mjdTRTS\nKUZOP4EJY/Zh0sgGFD9PT083hZyg1E9SjsXA+iSXXDabAw8fzRPPvEw6VSBXsMnk87jFLBSyOkuS\nJKmfauvopKbEIBaxyOQLlCSitLa0YrsOBVejO52mK52j1FKZvd9AhpeHyHR34foqpmmgmSFM1aSp\ntRvP04npCrqv0NPWTNOatxhy6HGolQ20bF9FrLSU9/+2Cj+UZNjgeobWN7B5+0pcXWfaEcNwvKE0\npjswXA1fQE86aFiXJRFJkqR+KpXNYgsPRRFkCnk836ckGsXzPEBgex625zCoxOTAQUk0N4uCh64p\nqLpB2hGkXIW2PLzbnGX+8s38dVMHhBO0r18JisKIsZPY1p5m1eYdLFuzgSf+tITlG5vZ1uSguiHa\nUz10FjJ4IUHWK9BTyOFoAk+T84lIkiT1a4V8AaHH8RVBzLKCHFoIrJBBV3eKVLZAe0+BmjKNqrhJ\nJp0i74HQImjhKLZmYSsFPMNmW8cudmR8OgoZyja1YNW0AYIho8YSSlazsztFW8qjqTvDfY8u4PCD\n9qdmcBk94TxmiUtWuEQiUXRDx9c0OZ+IJElSf6cK0BUVVYHqimTwwPZcnPYUzV09bOvspjvn4Hoq\nje1dNAmf7qxHOFmNCIdoyrikbZ/1OxtZu20X7ZkcGmAZBpUDO/gaMHD8REbufxDzn32ejc1d7OrK\n4HoKv1/8JlWVcSYfNpSI4qGaPrmsh2nqaKpOd0dPcI5f4v2RpK+Ua6+9lurqasLhME899dQ//Xgv\nvPACSTkXy7813wXd1xhYV01VVQLT1FCFIJsr0J1O09HVg6oqdOY9tjR3s37n/9fenUdJUd77H3/X\n2ut0T8/0MAOzryAiCCJIQIMRfsAxiiTxXFeICkk8KpDFeEXciCgxYMwVEXJ//jQ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"text/plain": [ "" ] }, "execution_count": 32, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from ete3 import Tree, faces, TreeStyle\n", "import utils\n", "\n", "# Create a faces ready to read the name attribute of nodes\n", "# Creates a layout function\n", "def mylayout(node):\n", " # If node is a leaf, add the nodes name and its scientific\n", " # name\n", " if node.is_leaf():\n", " \n", " # add a face for scientific name\n", " longNameFace = faces.TextFace(utils.get_scientific_name(node))\n", " faces.add_face_to_node(longNameFace, node, column=1)\n", "\n", " # Sets the style of leaf nodes\n", " node.img_style[\"size\"] = 0\n", " image = utils.get_image(node.name)\n", " faces.add_face_to_node(faces.ImgFace(image), node, column=0, aligned=True)\n", " \n", " #If node is an internal node\n", " elif int(node.states) == 1:\n", " # Sets the style of internal nodes\n", " node.img_style[\"size\"] = 6\n", " node.img_style[\"shape\"] = \"square\"\n", " node.img_style[\"fgcolor\"] = \"green\"\n", " else :\n", " # Sets the style of internal nodes\n", " node.img_style[\"size\"] = 6\n", " node.img_style[\"shape\"] = \"circle\"\n", " node.img_style[\"fgcolor\"] = \"red\"\n", " \n", "\n", "\n", "# And, finally, Visualize the tree using my own layout function\n", "ts = TreeStyle()\n", "ts.show_leaf_name = False\n", "ts.layout_fn = mylayout\n", "t.render(\"%%inline\", dpi=600, tree_style = ts)\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Third Exercice : Phylogenetic tree, sequence and information content\n", "\n", "Data : \n", " - An alignment\n", " - A tree constructed using that alignment\n", " (Actually those two were randomly generated)\n" ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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SEiC3pnd+334bbr218mUtTqdv+Rtv1GycHwcOrOTgwTW43Q1p2dL/tfK1oX0G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\njqq69/jnzGTygiS8KyGQgMqjQARERHkIKtD0hl4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"text/plain": [ "" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from ete3 import PhyloNode, SequenceFace, faces\n", "from Bio import AlignIO\n", "from Bio import Alphabet\n", "from Bio.Align import AlignInfo\n", "\n", "alignement = \"alignement.fasta\"\n", "\n", "# Open tree and link alignement to it\n", "t = PhyloNode(\"phylotree.nw\")\n", "t.link_to_alignment(alignement)\n", "\n", "# Compute Information content with Biopython\n", "align = AlignIO.read(alignement, 'fasta', alphabet=Alphabet.Gapped(Alphabet.IUPAC.protein))\n", "summary_info = AlignInfo.SummaryInfo(align) \n", "total_ic_content = summary_info.information_content()\n", "ic_content = summary_info.ic_vector.values()\n", "\n", "# Set TreeStyle\n", "ts = TreeStyle()\n", "ts.branch_vertical_margin = 10\n", "ts.allow_face_overlap = False\n", "ts.show_scale = False\n", "ts.show_leaf_name = False\n", "\n", "# Align ic plot to TreeStyle header\n", "ic_plot = faces.SequencePlotFace(ic_content, fsize=10, col_width=14, header=\"Information Content\", kind='bar', ylabel=\"ic\")\n", "ts.aligned_header.add_face(ic_plot, 1) \n", "\n", "#t.add_face(ic_plot,1)\n", "t.render(\"%%inline\", tree_style=ts, dpi=300)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "celltoolbar": "Slideshow", "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": "3.4.3" } }, "nbformat": 4, "nbformat_minor": 0 }