{ "metadata": { "name": "", "signature": "sha256:618d7b957a36278dca19ecb5ccdb1c82aaf5a7fc4f6e96dc1cabcee0135eed4e" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "code", "collapsed": false, "input": [ "from matplotlib import pyplot as plt" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "markdown", "metadata": {}, "source": [ "#Hypergraphs\n", "are matematical creatures which prove to be quite useful.\n", "\n", "Mathoverflow question about their [applications](http://mathoverflow.net/questions/13750/what-are-the-applications-of-hypergraphs).\n", "\n", "#Generating hypergraphs\n", "\n", "there are lots of types of hypergraphs, because hypergraphs are pretty general.\n", "\n", "Hyperedges are arbitrary sets of nodes, and can therefore contain an arbitrary number of nodes.\n", "It is often better study hypergraphs where all hyperedges have the the same number of vertices in hyperedges. (In other words, it is a collection of sets of size k.) So a 2-uniform hypergraph is a graph, a 3-uniform hypergraph is a collection of unordered triples, and so on.\n", "\n", "There are also matroids, greedoids and so on... but it gets little complicated.\n", "\n", "#Generating uniform hypergraphs\n", "My method of generating uniform hypergraphs is pretty straightforward. Generate set of vertices and get some combinations as sets..." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#todo\n", "\n", "- wipe this notebook out and use new libs\n", "- write it with a good plan" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import random\n", "import math\n", "import itertools\n", "\n", "def generate_hypergraph(n=6, number_of_edges=None, k=3):\n", " vertices = range(1, n + 1)\n", " \n", " if number_of_edges is None:\n", " number_of_edges = int(math.sqrt(n))\n", " hyper_edges = random.sample(list(itertools.combinations(vertices, k)), number_of_edges)\n", " return (vertices, hyper_edges)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "code", "collapsed": false, "input": [ "g = generate_hypergraph(number_of_edges=8)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "code", "collapsed": false, "input": [ "import networkx as nx\n", "\n", "def convert_to_nx_biparty_graph(vertices, hyper_edges):\n", " G = nx.Graph()\n", " G.add_nodes_from(vertices)\n", " G.add_nodes_from(hyper_edges)\n", " for e in hyper_edges:\n", " for n in e:\n", " G.add_edge(n, e)\n", " return G\n", " " ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "code", "collapsed": false, "input": [ "G = convert_to_nx_biparty_graph(*g)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 4 }, { "cell_type": "code", "collapsed": false, "input": [ "%matplotlib inline\n", "nx.draw(G)\n", "nx.draw(G,pos=nx.spring_layout(G, iterations=200))\n", "from networkx.algorithms import bipartite\n" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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l7iUqKujVsWOR13L37l0YGxvj6NGjEAqF+PTpEx4/fiw+XhHBxdfXFzt27Cj2+LVr16Cj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\nybivsYBpM2fCa9YstBUKcfkdx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"text": [ "" ] } ], "prompt_number": 5 }, { "cell_type": "code", "collapsed": false, "input": [ "def draw_bipartite_graph(G, group_1, group_2):\n", " pos = {x:(0 , float(i % 20) * 2) for i, x in enumerate(group_1)}\n", " pos.update({node: (18.3, 0 + float(i % 20) * 2) for i, node in enumerate(group_2)})\n", " \n", " nx.draw(G, pos, node_color='m', node_size=800, with_labels=True, width=1.3, alpha=0.4)\n", "\n", "def hipergraph_to_bipartite_parts(G):\n", " group_1 = (node for node in G.nodes() if not isinstance(node, tuple))\n", " group_2 = (node for node in G.nodes() if isinstance(node, tuple))\n", " return group_1, group_2\n", "\n", "draw_bipartite_graph(G, *hipergraph_to_bipartite_parts(G))" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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iR0HdPTdF/059z+5mhKCGEYPBwDuvvwN9oE5Vk5eet+jscso7Rc9YDz2eHkp2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\nViuFhYWkp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"text": [ "" ] } ], "prompt_number": 6 }, { "cell_type": "code", "collapsed": false, "input": [ "hyper_edges = g[1]" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 7 }, { "cell_type": "code", "collapsed": false, "input": [ "hyper_edges" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 8, "text": [ "[(1, 2, 4),\n", " (1, 4, 5),\n", " (4, 5, 6),\n", " (1, 3, 6),\n", " (2, 4, 6),\n", " (1, 3, 4),\n", " (3, 5, 6),\n", " (2, 5, 6)]" ] } ], "prompt_number": 8 }, { "cell_type": "code", "collapsed": false, "input": [ "from itertools import chain\n", "\n", "def convert_to_custom_hyper_G(nodes, edges):\n", " nodes = [node for node in edges if isinstance(node, tuple)]\n", " edges = list(chain(*[[(node_1, node_2) for x in range(len(set(node_1) & set(node_2)))] for node_1, node_2 in itertools.combinations(edges, 2) if set(node_1) & set(node_2)]))\n", " hyper_G = nx.Graph()\n", " hyper_G.add_nodes_from(nodes)\n", " hyper_G.add_edges_from(edges)\n", " return hyper_G" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 9 }, { "cell_type": "code", "collapsed": false, "input": [ "%matplotlib inline\n", "hyper_G = convert_to_custom_hyper_G(*g)\n", "nx.draw(hyper_G, layout=nx.circular_layout(G), node_size=3000, node_color='g', alpha=0.5)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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bE9hTS0sLWVlZlJeXk5SUxLe//e1pV4waiyRJ3Lp1i3PnzrF06VKeeOIJLl68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+Fg+5btsDXYMKwfnu7mjEtzeTM25GxAWlqay7GoqChs2rQJu3fvRkBAAN5++20cOnQIGo1mGlpK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\np46ODqhUK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"text": [ "" ] } ], "prompt_number": 10 }, { "cell_type": "code", "collapsed": false, "input": [ "nx.degree(hyper_G)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 11, "text": [ "{(2, 5, 6): 6,\n", " (3, 5, 6): 6,\n", " (1, 2, 4): 6,\n", " (1, 3, 4): 6,\n", " (1, 3, 6): 7,\n", " (2, 4, 6): 7,\n", " (4, 5, 6): 7,\n", " (1, 4, 5): 7}" ] } ], "prompt_number": 11 }, { "cell_type": "code", "collapsed": false, "input": [ "nx.adjacency_matrix(hyper_G)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 12, "text": [ "matrix([[ 0., 1., 1., 0., 1., 1., 1., 1.],\n", " [ 1., 0., 0., 1., 1., 1., 1., 1.],\n", " [ 1., 0., 0., 1., 1., 1., 1., 1.],\n", " [ 0., 1., 1., 0., 1., 1., 1., 1.],\n", " [ 1., 1., 1., 1., 0., 1., 1., 1.],\n", " [ 1., 1., 1., 1., 1., 0., 1., 1.],\n", " [ 1., 1., 1., 1., 1., 1., 0., 1.],\n", " [ 1., 1., 1., 1., 1., 1., 1., 0.]])" ] } ], "prompt_number": 12 }, { "cell_type": "code", "collapsed": false, "input": [ "nx.incidence_matrix(hyper_G)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 13, "text": [ "matrix([[ 1., 1., 1., 1., 1., 1., 0., 0., 0., 0., 0., 0., 0.,\n", " 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.],\n", " [ 1., 0., 0., 0., 0., 0., 1., 1., 1., 1., 1., 0., 0.,\n", " 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.],\n", " [ 0., 1., 0., 0., 0., 0., 0., 0., 0., 0., 0., 1., 1.,\n", " 1., 1., 1., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.],\n", " [ 0., 0., 0., 0., 0., 0., 1., 0., 0., 0., 0., 1., 0.,\n", " 0., 0., 0., 1., 1., 1., 1., 0., 0., 0., 0., 0., 0.],\n", " [ 0., 0., 1., 0., 0., 0., 0., 1., 0., 0., 0., 0., 1.,\n", " 0., 0., 0., 1., 0., 0., 0., 1., 1., 1., 0., 0., 0.],\n", " [ 0., 0., 0., 1., 0., 0., 0., 0., 1., 0., 0., 0., 0.,\n", " 1., 0., 0., 0., 1., 0., 0., 1., 0., 0., 1., 1., 0.],\n", " [ 0., 0., 0., 0., 1., 0., 0., 0., 0., 1., 0., 0., 0.,\n", " 0., 1., 0., 0., 0., 1., 0., 0., 1., 0., 1., 0., 1.],\n", " [ 0., 0., 0., 0., 0., 1., 0., 0., 0., 0., 1., 0., 0.,\n", " 0., 0., 1., 0., 0., 0., 1., 0., 0., 1., 0., 1., 1.]])" ] } ], "prompt_number": 13 }, { "cell_type": "code", "collapsed": false, "input": [ "import numpy as np\n", "from matplotlib import pyplot as plt\n", "from collections import Counter\n", "\n", "def show_different_hipergraphs(n=10, k=3, parts=10):\n", " for fraction in np.linspace(0, 1, parts)[1:]:\n", " plt.figure(figsize=(6, 6))\n", " g = generate_hypergraph(n=n, k=k, number_of_edges=int(n * fraction))\n", " G = convert_to_nx_biparty_graph(*g)\n", " draw_bipartite_graph(G, *hipergraph_to_bipartite_parts(G))\n", " hyper_G = convert_to_custom_hyper_G(*g)\n", "\n", " p=nx.degree(hyper_G)\n", "\n", " plt.figure(figsize=(6, 6))\n", " nx.draw(\n", " hyper_G, node_color=p.values(),\n", " node_size=3000,\n", " cmap=plt.cm.Blues,\n", " alpha=0.6\n", " )\n", " " ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 20 }, { "cell_type": "code", "collapsed": false, "input": [ "show_different_hipergraphs(10, 3, 4)" ], "language": "python", "metadata": {}, "outputs": [ { "ename": "ValueError", "evalue": "Cannot convert argument type to rgba array", "output_type": "pyerr", "traceback": [ "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m\n\u001b[1;31mValueError\u001b[0m Traceback (most recent call last)", "\u001b[1;32m\u001b[0m in \u001b[0;36m\u001b[1;34m()\u001b[0m\n\u001b[1;32m----> 1\u001b[1;33m \u001b[0mshow_different_hipergraphs\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;36m10\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;36m3\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;36m4\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m", "\u001b[1;32m\u001b[0m in \u001b[0;36mshow_different_hipergraphs\u001b[1;34m(n, k, parts)\u001b[0m\n\u001b[0;32m 18\u001b[0m \u001b[0mnode_size\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;36m3000\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 19\u001b[0m \u001b[0mcmap\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0mplt\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mcm\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mBlues\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m---> 20\u001b[1;33m \u001b[0malpha\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;36m0.6\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 21\u001b[0m )\n\u001b[0;32m 22\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n", "\u001b[1;32m/home/att/Projects/hypergraph/py3/lib/python3.4/site-packages/networkx/drawing/nx_pylab.py\u001b[0m in \u001b[0;36mdraw\u001b[1;34m(G, pos, ax, hold, **kwds)\u001b[0m\n\u001b[0;32m 124\u001b[0m \u001b[0mplt\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mhold\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mh\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 125\u001b[0m \u001b[1;32mtry\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m--> 126\u001b[1;33m \u001b[0mdraw_networkx\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mG\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0mpos\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0mpos\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0max\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0max\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;33m**\u001b[0m\u001b[0mkwds\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 127\u001b[0m \u001b[0max\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mset_axis_off\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 128\u001b[0m \u001b[0mplt\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mdraw_if_interactive\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n", "\u001b[1;32m/home/att/Projects/hypergraph/py3/lib/python3.4/site-packages/networkx/drawing/nx_pylab.py\u001b[0m in \u001b[0;36mdraw_networkx\u001b[1;34m(G, pos, with_labels, **kwds)\u001b[0m\n\u001b[0;32m 257\u001b[0m \u001b[0mpos\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0mnx\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mdrawing\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mspring_layout\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mG\u001b[0m\u001b[1;33m)\u001b[0m \u001b[1;31m# default to spring layout\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 258\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m--> 259\u001b[1;33m \u001b[0mnode_collection\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0mdraw_networkx_nodes\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mG\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mpos\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;33m**\u001b[0m\u001b[0mkwds\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 260\u001b[0m \u001b[0medge_collection\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0mdraw_networkx_edges\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mG\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mpos\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;33m**\u001b[0m\u001b[0mkwds\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 261\u001b[0m \u001b[1;32mif\u001b[0m \u001b[0mwith_labels\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n", "\u001b[1;32m/home/att/Projects/hypergraph/py3/lib/python3.4/site-packages/networkx/drawing/nx_pylab.py\u001b[0m in \u001b[0;36mdraw_networkx_nodes\u001b[1;34m(G, pos, nodelist, node_size, node_color, node_shape, alpha, cmap, vmin, vmax, ax, linewidths, label, **kwds)\u001b[0m\n\u001b[0;32m 379\u001b[0m \u001b[0malpha\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0malpha\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 380\u001b[0m \u001b[0mlinewidths\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0mlinewidths\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m--> 381\u001b[1;33m label=label)\n\u001b[0m\u001b[0;32m 382\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 383\u001b[0m \u001b[0mnode_collection\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mset_zorder\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;36m2\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n", "\u001b[1;32m/usr/lib/python3/dist-packages/matplotlib/axes.py\u001b[0m in \u001b[0;36mscatter\u001b[1;34m(self, x, y, s, c, marker, cmap, norm, vmin, vmax, alpha, linewidths, verts, **kwargs)\u001b[0m\n\u001b[0;32m 6278\u001b[0m \u001b[0mcolors\u001b[0m \u001b[1;33m=\u001b[0m \u001b[1;32mNone\u001b[0m \u001b[1;31m# use cmap, norm after collection is created\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 6279\u001b[0m \u001b[1;32melse\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m-> 6280\u001b[1;33m \u001b[0mcolors\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mmcolors\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mcolorConverter\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mto_rgba_array\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mc\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0malpha\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 6281\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 6282\u001b[0m \u001b[0mfaceted\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mkwargs\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mpop\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;34m'faceted'\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;32mNone\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n", "\u001b[1;32m/usr/lib/python3/dist-packages/matplotlib/colors.py\u001b[0m in \u001b[0;36mto_rgba_array\u001b[1;34m(self, c, alpha)\u001b[0m\n\u001b[0;32m 379\u001b[0m \u001b[1;32mexcept\u001b[0m \u001b[0mTypeError\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 380\u001b[0m raise ValueError(\n\u001b[1;32m--> 381\u001b[1;33m \"Cannot convert argument type %s to rgba array\" % type(c))\n\u001b[0m\u001b[0;32m 382\u001b[0m \u001b[1;32mtry\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 383\u001b[0m \u001b[1;32mif\u001b[0m \u001b[0mnc\u001b[0m \u001b[1;33m==\u001b[0m \u001b[1;36m0\u001b[0m \u001b[1;32mor\u001b[0m \u001b[0mc\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mlower\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m \u001b[1;33m==\u001b[0m \u001b[1;34m'none'\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n", "\u001b[1;31mValueError\u001b[0m: Cannot convert argument type to rgba array" ] }, { "metadata": {}, "output_type": "display_data", "png": 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Px2QyMTQ4xNLSEkFBQajVaubN84yoR3j96Otub8SgUqlISHjS+am2tha1Wk1U\nVJRb7+kuvr6+ZGRksLq6Sl1dHU6nk9jY2B3ZzEIIsT1JoCrAy8uLVecqE48miApVJnD8/PyIiopC\no9EwOzvL0NAQKysrDJmHyD6dTVz81h22HRMTQ0BAwNMg2qkHfX/xB4JGo8FgMDAxMSEtC4UQipEl\nX4XkFeQx5BzC5lD2xZewsDAKCwvJzc1l1jRLTWcNs/OzW77HMjc3l2PHjtHS0sLt27c9/kbyZqSn\np/POO++wsLDARx99pFiTDCHEq01mqAoJCAhg0bHIYOsgcWHKz+ACAwMZtg+TXpmOecVMU1MTVqsV\nvV6/ZTMsrVZLVFQUBoOBmZkZkpKSNnQ263YQEBBARkYGExMTNDQ0EBQUhE6n83RZQogdTAJVQXEJ\ncRjaDfgv+hMasLFWhM8zaBxkJmaGb/z2N9izZw+BgYG0t7fT2tqKw+EgIiICb29vRe/5LKGhocTF\nxdHU1MTY2BgpKSlbcl938PHxIS0tDZfLxb1791hZWSE+Pl6eqwohNkROm1HY+Pg4F//6Iq+HvI4u\nRJkZz8T8BA9sDzj3vSdN4L/gcDh49OgRzc1PDh0vLCwkLy9vSwJufn6eqqoqAgICOHnyJAEBAW6/\npzsNDw9z/fp1wsLCOH78OEFBQZ4uSQixw0igusHw8DCXfnaJ4oBiYrWxmxtrephWZytvf+ft556B\narPZaG1tpbW1FbVaTXFxMVlZWW5fjl1aWqKqqgqA06dPExwc7Nb7udvCwgLV1dWsrKxw/PjxTZ05\nK4R49Uigusn4+DiXP7hM2HQYRfFF+HqvbTvNFyw2C42jjSzHLXPyfzm5pn2nq6urNDc38+jRI4KC\ngigtLSUtLc2tS5irq6tcunQJs9nM6dOn0Wo3dkjAdmG327l16xb9/f3s27ePvXv3erokIcQOIYHq\nRlarlbs379J9s5skryTSI9KfNnJ4nqXVJXqNvQwzzN6Kvex7Y9+6Xzoym800NjbS1dVFWFgYZWVl\nJCUlbeZHeSGbzUZNTQ1Go5GTJ0/u2L2qv+rhw4fcu3eP1NRUDh48KFtrhBAvJYG6Bebm5njU8ohH\ndx4RaAkk1BVKmG8Yah81LlxYbVbm7HMsqBawBljJO5hH3t48NBrNpu67sLBAQ0MDfX19REZGUlZW\nRmzs5pagn8fhcHD9+nWGh4epqKh42hBiJ5uYmODKlSv4+/tTWVlJaKiyL5oJIXYXCdQtZLfbmZmZ\nwWg0Yhw/Vh1iAAAgAElEQVQ1Ylm2AOAX5EdkXCQRERHodDrFXyqanZ3FYDAwNDREfHw8ZWVlbmld\n6HK5uHv3Lp2dnRw5coS0tDTF77HVlpeXqampYW5ujqNHj5KYmOjpkoQQ25QE6itkcnISg8HwdLtL\naWmpW555NjQ00NTUxBtvvEFeXp7i4281p9NJXV0djx49oqSkhOLiYtlaI4T4CgnUV9Do6Cj3799n\nenqajIwMSkpKCAkJUfQeDx8+pK6ujuLiYkpKShQd21N6enq4ffs2sbGxHDlyBD8/P0+XJITYRiRQ\nX2GDg4MYDAZMJhM5OTkUFRURGPjil6bWo7e3lxs3bpCdnc3+/ft3xaxuZmaG6upqVCoVFRUV0l1J\nCPGUBOorzuVy0dvbS0NDAysrK+zZs4eCggLFZl+PHz+mpqaGpKQkDh8+vGO7Kv0qi8XCtWvXGB8f\n5+DBg6Snp3u6JCHENiCB6kEOhwNgW4SM0+mko6ODpqYm7HY7BQUF7NmzB1/f9e2ffZbJyUkuXbpE\nREQEFRUViozpaS6XiwcPHtDY2MiePXt47bXXdmxfYyGEMiRQt4jD4WBwcJCRwREm+ieYHpnG5XDh\ncrnwVnsTER9BdGo08cnxHm06b7fbn7Yz9PLyoqioiJycnE2H/tzcHFVVVQQFBXHy5En8/f0Vqtiz\nhoaGuH79OuHh4Rw/flzRJXMhxM4igepmFouF5sZm2m61EbQQRLRvNOHB4WiDtPh4P2kWYHPYmF2a\nZXZplgn7BJZwC/lv5lNQVOCx2ZzVaqW1tZW2tjb8/PwoKSkhMzNzU89BFxcXqaqqQqVScebMmV3T\nL9dkMlFTU8Pq6ioVFRW7orGFEGL9JFDdaGhoiKsfXiV8NpzsyOw1n0AzZ56j09jJUvQSFe9VuK0Z\nw1qsrKzQ3NxMe3s7ISEhlJaWkpKSsuFgXVlZ4fPPP2d1dZXTp08TFhamcMWeYbPZuHXrFgMDA7z+\n+uu7YruQEGJ9JFDdwOVycffmXTovd1ISXkKUZmMzltHZUZoXmyl4u4Dy18oVrnJ9lpaWnrYz1Ol0\nlJWVbbgbks1m4/Lly8zOznLq1Cm3NJnwlNbWVu7fv096ejoHDhyQloVCvEIkUBXmcrm4XnOd0Wuj\nHEw6uO6m+L9u1bbKrce3yDyTyRtvvqFQlRs3Pz9PQ0MD/f39REdHU15eTnR09LrHcTgcXLt2jZGR\nESorK4mLU/5Qdk8ZHx/nypUrBAYGUllZqfgeXyHE9iSBqjBDvYHO850cSjr09BnpZllsFm48vkHp\nb5ayN397nH4yPT1NQ0MDw8PDJCYmUlZWtu49mS6Xi9u3b9Pd3c3Ro0dJTU11U7Vbz2w2U1NTg8lk\n4ujRo7uit7EQ4sW8f/SjH/3I00XsFtPT01z7b9c4FHsIP1/luuj4ePsQ5R/F7ebbZBRlbIs3ZAMD\nA0lPTycuLo7h4WEMBgNzc3PodLo116dSqUhKSsLhcFBXV0dAQMCuWf5Vq9VkZGRgNpu5d+8eXl5e\nREdH74rmFkKIZ5NAVYjL5eLCf79A+mo6kaGRio/v5+uHa8lFh7GDnPwcxcffqODgYLKysoiMjGRg\nYICGhgbMZjM6nQ61Wr2mMeLi4lCr1dTW1qJSqXbNwd5eXl4kJiYSHBxMfX09RqORxMTEbbHvWAih\nPAlUhQwPD9N/pZ+SOPf1rdUF63jU94iYvBiCg4Pddp+N0Gg0ZGdno9Vq6e7uprGxEYvFgl6vX9PW\nn6ioKEJDQ7l37x6rq6vEx8fvmtmcXq8nISGBhw8f0tXVRVxcHAEBAZ4uSwihMHmGqpALH1wgvCec\n1Ki1Pwf8xPAJP/70x4zNjREZGslf/M5fUJ7+4rd5O8c6cZQ5qDhTsdmS3cblctHd3c2DBw+wWCzs\n3buX/Pz8Nc1Yh4aGuHr1KsnJyRw+fHhXdR9aXV3l2rVrTExMcOjQoV1xvJ0Q4n+SQFXA8vIyf/+n\nf89b8W/h7bW25bxb7bf4wf/3A/7Ld/8LRSlFTJomcblcRIe9+I1Zq93K55Of890//u6235LhcDie\ntjN0Op0UFhaSl5f30ronJia4dOkSUVFRVFRUbPufcz1cLhcGg4Hm5mby8/MpLy/fVX80CPEqkyVf\nBYyNjTHdNE1KWMqar/n+z77P945/j+P5xwEI9g8m2P/ly7jeXt6MmEaI3Ru77ZZ9f52XlxeRkZHk\n5uaiUqmeNojw9vZGr9c/d0k3ODiYxMREWltbGRoaIiUlZdeEqkqlIi4ujvDwcBoaGhgbGyMhIWFX\n9DcW4lUnfxorwDhlROPSrPnzDqeDtuE2phen2f/H+yn9YSnv//x9Vm2ra7pe49JgNBo3Wu6W8/X1\npaioiN/4jd8gMzOT+vp6fvGLX9DT08PzFkjCw8M5e/YsKysrXLx4EbPZvMVVu1dKSgrnzp1jeXmZ\njz76iKmpKU+XJITYJAlUBcxPzRPit/bN+8YFIzaHjaqmKj7+wcdUv1/Nw8cP+Y+f/cc1XR/sHcz8\n9PxGy/UYPz8/ysvL+da3vkViYiI3b97kww8/ZHBw8JmfDwkJ4ezZs6hUKi5cuIDJZNragt0sLCyM\nc+fOERkZyYULF+jo6PB0SUKITZBAVYDdal/zs1MAf98n+zS/ffDbjA2M4Vxx8t3j3+Xaw2trut7H\nywe7zb6hWreDwMBA9u/fzze/+U0iIiKoqanh/PnzjI6OfuWzAQEBvP322wQHB3PhwgWmp6c9ULH7\n+Pr6UlFRQVlZGXfu3OHmzZtPj/UTQuwsEqgK8Pb2xulyrvnzYUFhxITF4MJFYEAgHZ0dDPYPrvkX\nqdPlxMt75/+vCwkJ4fDhw7z33nsEBwfz2Wef8emnnzI5Ofmlz6nVak6fPk1UVBSffvopY2NjHqrY\nfQoKCjh9+jRDQ0N88sknLC0tebokIcQ6yUtJCpianmKpe2ldDR0Wlhf4pOETfvPYb6LRavizz/6M\nHF0OcX5P9ij6+T+/09Lw3DD6Yv2uaYAQEBBAWloaiYmJjI+PYzAYmJ6eJjw8/Ol+TS8vL1JTU1lY\nWOD+/ftotVq0Wq2HK1dWaGgoaWlp9Pf309LSgl6vJzR0bScUCSE8TwJVAVablcHmQRI1iWu+pjy9\nnI6RDv7oH/6IX9T9gqP5R/nhuz/EvGRmcHCQpcUlggKDnrl3s3Ohk7xDebvul21QUBAZGRnExMQw\nPDxMQ0MDJpMJnU6Hn58fKpWK5ORkbDYbdXV1BAUFodfrPV22otRqNZmZmSwuLnLv3j28vb03dPiA\nEGLryT5UBSwsLPDBn3/AmYQzinT3WTAtMDA4wIJpgYiICJKSk57O1BxOBxdHL/Kd97+Dn59y/YK3\no6GhIQwGA/Pz82RlZVFcXPz0UPKWlhbq6+spLy+nsLDQw5W6R0dHB7W1tSQmJnL48GHZWiPENicz\nVAX4+fnR29eL75wvIQGbP6rLz9+P6OhoQkNCmZ6eZmh4CMuqheCgYEbmRvDJ8iGvcPcfYB0WFkZO\nTg5hYWF0dnbS1NSE1WpFr9cTHx9PcHAwdXV12Gw24uLidk2rwi9EREQQHx9PW1sb3d3dxMXFbYuD\nEYQQzyYzVIV0dnbS+t9aOZB0QNFxXS4XM9MzDA4Nsrq6Sr+qn7M/PEtOzvZpkL8VnE4nXV1dNDY2\nYrPZnrYzHBsb48qVK6SlpXHw4MFd2XVoZWWFq1evYjQaOXz4MCkpa28gIoTYOjJDVUhYWBj3W+6j\nWdUQ5B+k2LgqlYrAoEBiYmKYW5mjebUZm7cNh8OBXq9/ZU4uUalUREREPG1d2NbWxsOHD9Fqtezd\nu5fGxkampqZITk7edaHq6+tLRkYGFouFuro6HA4HsbGxu25GLsROJzNUBQ0ODnLlr69QmVip2OHi\nX7DYLNSM1XD6n51mfn5+3f1xdxubzUZrayttbW34+vqSmppKd3c3Wq2WkydPrvnouJ2mv7+fmzdv\nEhkZybFjx2QJWIhtRAJVYTWf1bB4d5F9SfsUm0G4XC7uDN4h7kQcBw4/WVK22Ww8fPiQlpYWfHx8\nKC4uJjs7e9fNzl5mdXWV5uZmHj16hEqlwmQyER8fz5kzZwgMDPR0eW4xNzdHdXU1DoeDioqKXXMo\nuxA7nQSqwux2O5/8/BN8unwoTSjddKg6nU7uDd3Dv8SfU+dOfWWJ12Kx0NLSwsOHDwkMDKSkpIT0\n9PRXbjnQbDbT1NRES0sL/f39JCcn8+1vf3vXbS36gtVq5caNGzx+/JgDBw6QlZXl6ZKEeOVJoLqB\nzWbjs19+xkrzCmVxZQT6bWymtLS6RP1YPbp9Ok587cQLn5cuLy/T1NRER0cHGo2GsrIykpOTN/gT\n7FwLCwvU1tZy8eJF1Go13/nOd9izZ4+ny3ILl8tFc3MzDQ0NZGdn88Ybb7wyz9SF2I4kUN3E6XTy\nwPCAxs8ayfbJJjUydc39fu0OOz2TPfSqennt7GvkF+Sveca5uLjIgwcP6OnpISIigrKyMuLi4jbz\no+xIU1NT/PSnP6Wnp4fjx49z4sSJXbs0OjIywtWrV9FoNFRUVDzdqyuE2FoSqG42MzPD3St3GWsb\nI1GVSJwmDm2Q9isvLdkcNmaXZhkxjTCqGiWpOInXj7xOWFjYhu47NzdHQ0MDAwMDxMbGUl5eTmTk\n2lsj7gZOp5OPP/6YGzduEBMTQ2lpKaWlpbuuZSE8+UOqpqYGs9nMsWPHiI2N9XRJQrxyJFC3iMlk\nov1hO8Ptw8yMzODv9MeXJ51vrC4rFl8LkQmRJOYmkrsnV7HDw41GIwaDgZGREZKTkyktLSU8PFyR\nsXcCl8vFvXv3uHPnDoGBgajVajIyMigpKSEkZPNNOLYTh8PB7du36enpYd++feTn53u6JCFeKRKo\nHuB0Opmfn8dmswFP+reGhYW59UWisbExDAYDU1NTpKWlUVpaumtf2HmWpqYmDAYD8fHxmM1mTCYT\nOTk5FBUV7bq3gdvb26mtrSU5OZlDhw5Jy0IhtogE6ivmV/vjZmdnU1RU9Mo8c+vo6ODOnTvs3bsX\nnU5HQ0MDKysr7Nmzh4KCgl3VG3lycpKamhr8/PyorKxEo9F4uiQhdj0J1FeQy+Wir6+PhoYGlpeX\nyc3NpbCw8JVoEjAwMMC1a9dIT0/nwIEDT9sZ2u12CgoK2LNnz66Z0a2srHDlyhVmZmY4fPjwK/nW\ntxBbSQL1Ffa8/ri7JVCeZ2xsjMuXLxMXF8exY8dwuVw8evSI5uZmvLy8KCoqIicnZ1dsQXE6ndTX\n19PW1kZRURGlpZvfGy2EeDYJVIHD4XgaKABFRUXk5ubuikB5HqPRyOeff45Wq+XEiROo1WqsVuvT\ndoZ+fn6UlJSQmZm5KwKot7eXW7duER0dzbFjx3bV8rYQ24UE6haz2WzMzMwwOzuL1WpFpVKhVqsJ\nDw9Hp9N5tCfvF/1xW1tbUavVFBcXk5WVtWvbGZpMJj777DP8/f05derU0zNnV1ZWaG5upr29nZCQ\nEEpLS0lJSdnxwTo7O0t1dTUul4uKiopddzi7EJ4mgboFHA4Hvb29tN5tZWpgilBCCXGFoOZJA3cL\nFhZUCyyplohOj6bgjQJSUlI8NkP81f64wcHBlJaWkpqauuMD5VnMZjNVVVU4nU5Onz79pa00S0tL\nNDY20tXVhU6no6ysjISEBA9Wu3kWi4Xr168zNjbGgQMHyMzM9HRJQuwaEqhu5HK5nmxhuFhLyGII\naSFpxITFPHfG53A6GJ0dpd/cz0rYCgffOUhGRsYWV/0/mc3mp4Gi1WopLS0lKSnJY/W4i8Vi4dKl\nSywuLnL69Omv7NM1mUw0NDTQ19dHdHQ05eXlREdHe6jazXO5XDQ2NtLY2EhOTg5vvPHGrl2FEGIr\nSaC6ydLSElc+vYKpxURZZBlhQevreDS7NMt9432iy6M5cvLI0+VIT1hYWHgaKJGRkZSXlxMTE+Ox\netzBbrdTU1PD1NQUJ06ceGZgzszMYDAYGB4eJjExkbKyMnQ6nQeqVcbw8DDXr18nLCyM48ePvzLb\np4RwFwlUN5ibm+Pjv/2YeFM8ubG5G14qdTqdtI62Mh01zblvn/N4Z5/Z2VkMBgNDQ0PEx8dTVla2\nq/rjOp1Obty4weDgIMePHycxMfGZn5uYmOD+/ftMTEyQmppKWVnZjt3nubCwQHV1NSsrKxw/fnzX\n/aEkxFaSQFXYwsICH/70QzJXMkmNTFVkzK7xLh6HP+a977y3Lbr6TE5OYjAYGBsbIyUlZVf1x3W5\nXNTV1dHe3s6hQ4deuOT++PFjDAYDMzMzZGVlUVxcrFjLyK1kt9u5desW/f397Nu3j71793q6JCF2\nJO8f/ehHP/J0EbuFy+Xi4gcXiTXGkhGt3LNPfYge84SZ7rlusvdkKzbuRgUHB5OZmUl0dDQDAwM0\nNDSwuLiITqfb8dsxVCrV0xePamtrUavVREVFPfOzGo2G7OxstFot3d3dNDY2YrFY0Ov1O2ovr5eX\nFykpKajVaurr65mfnychIUGeqwqxThKoCmpubGby9iSlCaWKjx0ZEkl7ZzvqWPW2WWYNDQ0lJycH\nnU5HT08PDx48YGVlZccFyrPExMQQEBBAXV0dTqfzuUfgqVQqtFotubm5BAUF0d7eTktLCw6HA71e\nv6P28kZGRhIbG0tLSwu9vb3Ex8fv+D+QhNhKEqgKWV5epurvqjgQcQC1j1rx8VUqFTq1jjsP75D/\nWv62+kUdFhZGbm4uoaGhdHR00NzcjM1mQ6/Xe3Rf7WZFRESg1Wq5d+8eZrOZxMTE5z4PV6lU6PV6\ncnNzUavVtLW10dbW9vTrO2W2FxwcTHp6OoODgzQ1NREeHr5jnw8LsdUkUBXS2tyKq91Fsi7Zbffw\nV/tjNBpRxai23dmmKpUKnU5HXl4efn5+PHr0iNbWVlwu146bqf0qrVZLZGQkDQ0NzMzMkJSU9MJw\n9PLyIjIyktzcJy+jfdEgwtvbG71evyP28vr6+pKZmcny8jJ1dXXAkxn7TqhdCE+Sl5IU4HK5+Nsf\n/y37vPahDVrbyznv/Yf3aBpowtvrSdDEaGO4+X/efOl1k6ZJ2oPb+a1/9lubqtnd7Hb7ruqPOzU1\nxaVLl9DpdFRWVq55SdtisdDS0sLDhw8JCAigtLSU9PT0HRNOPT093L59m9jYWI4cOSJLwEK8gASq\nAmZmZrjwlxc4kXBizde89x/e473X3uNb+7+17vtdHL7Ib/3wt3bEG6W7qT/u/Pw8VVVVBAQEcPLk\nyXXtDV5eXqapqYmOjg40Gg1lZWU75vSXmZkZqqurUalUVFRU7Oi9t0K4kyz5KmB4eJjF1kXiNfFr\nvuYf6/6RnLgc9iauf4vC1MIU2iztjtiq4u3tTWxsLNnZ2VgsFh48eEBvby8BAQFuP1Rdaf7+/qSk\npNDV1UV3dzdJSUmo1Wt7Xu7r60tiYiIZGRmYTKanDSJCQ0O3/UHvgYGBZGZmMj4+TkNDAyEhIV/p\nJiWEkEBVRHtrO+phNfrQtTcb/8e6f+SThk/4q8t/RXVLNUkRSSTo1tYndt40Dwk8983T7cjX15eE\nhAQyMzNZXFx82iAiODh4R730olarSUtLY2BggLa2NhISEtY1U/Xz8yM5OZnU1FSmp6e5f/8+4+Pj\naDSabb3i4OPjQ3p6Ok6nk9raWiwWC3FxcTvqDyIh3E2WfBVw+ZPLhDwMITkiec3XNA00kRWbhXnR\nzI3uG7z/i/epfv9JsL5M11gXXm96cejYoU1U7Vnz8/M0NDTQ399PTEwMZWVlO6o/rs1mo6amBqPR\nyMmTJ5+7V/VljEYjBoOBkZERkpKSKCsr2/azv6GhIa5fv054eDjHjx/fFs1GhNgOZIaqgN7OXvyN\n/uvq1xujjcHpcNLa2orWW0vPbA8ApWkv38M6tzSHK8FFcmryRkv2OH9/f1JTU0lKSmJycpL79+9j\nNBrRarU74he0t7c3qampzMzM0NDQgF6v39BMOygoiIyMDGJiYhgeHqahoQGTybStm2SEhYWRkpJC\nT08PbW1tREVFbevZtRBbRQJVAcODwzAC4cHrm1n4+PgQEx2Dt5c3Fx5cwN/hT4RPBCqVioDAgOcu\np03MTxCQHUBC4s4+SgyePJ9LT08nLi6O4eFhDAYD8/Pz6HQ6/P39PV3eC33RYWh5eZn6+no0Gs2G\nZ5chISFkZ2ej1+vp6+vjwYMHmM1m9Hr9mp/TbiV/f38yMjKYnZ2lvr4ePz+/bbeVS4itJoGqgAXz\nApOtk8SGxa7t8ysL1HXXEa2Nxtvbm2td1/jg3gf8u9/4d6hVah6PPGZ0dBSrxYqf2u8rv1D7TH0k\nv568qw6IDg4OJisri8jISPr7+3nw4AFLS0vodLptGShfUKlUJCYm4nQ6qaurw9/ff1PBEhYWRk5O\nDmFhYXR2dtLU1ITVat2WTTK+mKX7+PhQX1/PwsIC8fHxO6aJhRBKk2eoChgbG+Paf77G0YSja/r8\n7NIsv/3//Da9E714e3mTHp3OD772A97MeRMAu83O1NQU4xPjLJuXCQkNISoqisjISLy9vbn0+BJn\n//Dsrt2+4HK5vtQjODc3l8LCQo8eYbcWDx8+pK6ujuLiYkpKSjY9ntPppKuri8bGRmw2G3v37iU/\nP39btnUcHx/nypUrBAYGUllZ6fGTkYTwBAlUBdhsNv7mT/+GSn0l/r7KLlMuLiwyMTGB0WgEIEgT\nRGdwJ3/wf/3Brp8JuFwuuru7efDgARaL5WmgbOcZa29vLzdu3CA7O5v9+/cr8hasw+F42iQDoLCw\nkLy8vG3XJMNsNlNTU4PJZOLo0aNPDxkQ4lUhS74K8Pb2xrRqYrZrlshQZZ8j+fn5odPpiI2LRa1W\n09DfwJRmCtOCCafTiUaj2XZLgUrZif1xw8PDiYiIwGAwMDc3R3Jy8qZD1cvLi6ioKHJzc3G5XLS0\ntNDR0YGvry86nW7bbF1Rq9VkZGRgNpu5d+8eXl5eREdHb5v6hHA3CVSFhGhCqK+tJzU0FS+V8r/o\nvby88A/0Z0g9xDd/75vAkyXGlpYWTCYT/v7+u3aZ7Xn9cX18fLZVoHxBo9EQGxtLY2Mj4+PjJCcn\nKzKb/NUmGVarlcbGRnp6evD390er1W6LfwcvLy8SExMJDg6mvr4eo9FIYmLitptNC+EOsuSroM8/\n/hwaoSC+wC3jG4YNhBwM4Wjlk2e1drudgYEBOjs7nzYHyM7OJjMzc9s/b9yMX+2PGxgYSElJybbs\njzs3N0dVVRVBQUGcPHlS8beWzWYzTU1NdHZ2EhYWRllZGUlJL9/HvFWMRiM1NTV4e3tTWVm5Izp7\nCbEZEqgKWllZ4R/+8h/Yp96HLkTZF4bG58ZpU7fxm//8N5/5DHF+fp7Ozk66u7uxWq0kJSWRnZ1N\nfHz8tgsapeyE/riLi4tUVVWhUqk4c+YMQUFBit9jYWGBhoYG+vr6iIyMpKysjNjYtb1x7m6rq6tc\nu3aNiYkJDh06RFpamqdLEsJtJFAVNjAwQM1PazgUdYiQAGWWYOfMc9yZvcNbv//WS9sNOp1OBgcH\n6ezsZGRk5Ol2lOzsbLf8Mt8OFhcXefDgAT09PURERFBWVrat2jKurKzw+eefs7q6yunTpwkLW3sD\nkPWYnZ2loaGBwcFB4uPjKSsr2xaH0btcLgwGA83NzeTn51NeXr4tn38LsVkSqG7Q0dHB7f92mzf0\nb6y72cOvMy4YuWe6x/HfOb7uv+4XFxfp6uqiq6uL5eVlEhISyM7OJjExcVf+Qpubm6OhoYGBgQFi\nY2MpLy/fNs0GbDYbly9fZnZ2llOnTrk16CYnJzEYDIyNjZGSkkJpaem2WG4dGBjgxo0bREREcOzY\nsV39WEK8miRQ3aS3t5drH1wjxZ5CbkzuupddHU4HD8ceMho0SuVvVJKYmLjhWlwuF8PDw3R2djI8\nPExAQACZmZlkZ2dv+5NONuJX++MmJydTWlq6LfrjOhwOrl27xsjICJWVlW6fRY+OjmIwGDAajWRk\nZFBSUuLxF9fm5+eprq7GZrNRUVGxbf7gEUIJEqhutLS0xLWqa8w0z5Dmn0ZyRDI+3i/e4mJz2Oif\n6mfAOkBseSyHKg8p+pe82Wymu7ubrq4uFhYWiI2NJScnR7E3UbeTsbExDAYDU1NTpKWlUVpa6vE/\nIFwuF7dv36a7u5ujR4+Smprq9nsODg5iMBgwmUzk5ORQVFTk0X7JNpuNGzduMDQ0xP79+8nJyfFY\nLUIoSQJ1Czx+/JjW+608bnmMzqlD46VBG6jFz+dJ83OL3cLc8hzzrnlmvWZJKUkhvyyfmJgYt9Xk\ncrkYGxujs7OTgYGBp3sIs7Ozt8XyoJKGhoae9gjOzs6mqKjI48+Tv3imeODAgS0JFJfLRW9vLw0N\nDaysrLBnzx4KCgo82oC/paWF+/fvk5mZyYEDB3bdH3Ti1SOBuoXMZjPj4+NMTUwxNTiFddUKgF+g\nH5FJkURGRxITE7Pls4fV1VW6u7vp7Oxkfn6eqKgosrOzSUtL2zVNI1wuF319fTQ0NLC8vPy0naEn\nG/C3tbVRV1dHaWkpxcXFW3JPp9NJZ2cnjY2N2O12CgoK2LNnj8faGY6OjnL16lWCg4OprKyUU2vE\njiaBKr5kYmKCzs5O+vv78fLyIj09/ekpKLvBduuP29PTw82bN8nNzeX111/fsi1Odrv9aTtDLy8v\nioqKyMnJ8cgscWlpiZqaGhYXFzl27Ni2ekNbiPWQQBXPZLVa6e3tpbOzk+npafR6PdnZ2aSnp2/r\nXrpr9ev9cYuKisjNzfVIoAwNDXH16lWSk5M5fPjwlr6BbbVaaW1tpa2tDT8/P0pKSsjMzNzyvcsO\nh4O7d+/S1dVFWVkZhYWFW3p/IZQggSpeymg00tXVRW9vL06nk9TUVLKzs4mOjvZ0aZtms9lobW2l\ntbUVtVpNcXExWVlZW76taGJigkuXLhEVFUVFRcWWL7WvrKw8bekYEhJCaWkpKSkpWx6sHR0d1NbW\nkoH8NagAACAASURBVJiYyOHDh7flyTpCPI8Eqlgzm81Gf38/nZ2dTE5OotVqyc7OJiMjY9sfBv4y\nq6urNDc38+jRI4KDgyktLSU1NXVLA2V2dpaqqipCQkI4efKkR14YWlpaorGxka6uLnQ6HWVlZVt+\naszU1BT/P3tvHt7Wdd75fwASBLiCu7jvFEGKEkVxkSXLkmhJtEV5Sxwn9VI3SZs6rp26ybTTus60\nnrbpL5NmadLOdDoZJ7+0lmPHS2wnliVRu2WL4r4T3HdwATcQBLHjzh+qUMuixEUAF+l8noePKN57\nzj0XJPC955z3/b7l5eUoFApKS0u9ZoQhEHgaIaiCFTE9PY1Wq6WzsxObzUZqaioajYa4uLgNbXVo\nMpncghIWFkZhYeGq+uMajUY++OADfH19OXz48JpFIxsMBredYUxMDMXFxau6ImE2mzl9+jR6vZ79\n+/eTmpq6atcWCFaKENRVZGxsjOHhYcb6xpgYmsBqtiJDhjJASVRSFDEpMcTHx2+oACCn00lfXx9t\nbW3odDpCQkLIysoiKytrTXMdb5XP+uMWFxd7NY3p05jNZo4dO4bNZqOsrAy1Wr0q112IyclJqqqq\nGBgYICkpiaKiolUrbC9JEpcvX6axsZHt27dTVFS0oR/WBLc/QlC9jNPppKOjg7oLdVgGLETLogn3\nDycsMAw/3yvBPVa7lam5Kaat04xJY6jT1eTtySMzM3NDfYAYDAba29vp6OjAYrGQlJSERqMhMTFx\nQ93Hp5mamqKqqor+/v5V9ce12WycOHGCmZkZDh8+vOYPWaOjo1RWVjI6OkpaWhpFRUWrJvQ9PT2c\nP3+e6OhoDhw4sOG3FwS3L0JQvcjExATlvy6HHtgcupnYsMVnOJIkoZvW0W5oR6lRcvChgxvOaMHl\ncrmtDgcHBwkICHDPWtfa+m6lrIU/rtPp5PTp0+h0OkpLS9dFBZnBwUGqqqqYnJwkKyuLHTt2rEru\n6PT0NCdPnsTpdHLo0KF1YfovEHwWIaheoqGugYp3KshV5ZIatbL9n86xTrROLXu/tHfD2rOZTCa0\nWi3t7e2YTCbi4+PRaDSkpKRsSIP+4eFhKisrmZiYWBV/XEmSuHDhAl1dXdx7773rYi9RkiR6e3up\nrq7GaDS6TTK8bXZvs9k4d+4cg4OD7Nmzh6ysLK9eTyBYLkJQvUBlRSVN7zaxL34fAcpb20c0mo18\nNPoRxV8qZtv2bR4a4eojSRJDQ0NotVr6+/tRKpVug/613CNcKavtj3t1L/Gee+5Bo9F47TrLQZIk\nOjo6qKmpwWq1uk0yvJmnLEkS9fX1VFdXo9Fo2L17t7AsFKwbhKB6mJbmFiperaAksQSVwjN7PfPW\nec6OnOXe37/3tijQbDab3VaHBoOB2NhYNBoNaWlpG+rDcbX9cRsaGrh8+TLFxcXryvjA6XTS1tZG\nXV0dLpeL7du3s2XLFq/m0g4NDXH69GnUajWHDh1ac29mgQCEoHoUg8HA6//4OvtC9xHi79mqJlNz\nU1RYK3jihSc2dPTsZxkZGaGtrY3e3l58fHzcBv2rFUnqCVwul1tQvO2P297ezoULF9i6dSs7d+5c\nV8Fedrud5uZmGhoa8PX1ddsZemtp32g0Ul5ejslk4sCBA+tij1lwZ+Pz8ssvv7zWg7hd+PDtD4md\njCUhPMHjffv7+WOeMtM330emJtPj/a8VwcHBpKamsmXLFlQqFX19fdTW1jI4OIgkSYSGhq77WatM\nJiM6OtptXdjQ0EBLSws+Pj5ERER4VFAiIyOJiIjg8uXLzM7OkpSUtG5E1cfHh9jYWLKzs3E4HNTV\n1dHe3o5KpSI8PNzj47y6bTAzM0NFRQUKhYJNmzZ59BoCwXIQguohdDodLcda2JngvVlDVFAUtW21\npGxPua1mqQC+vr5uUUpMTMRkMtHU1ERjYyNGoxF/f/91v6wnl8uJiYkhJycHl8tFXV0dWq0WPz8/\nIiIiPPZ3ERoaSmxsLDU1NYyPj6+7AC9fX1/i4+PJysrCbDZTXV1NT08PgYGBHnc9ksvlpKSk4O/v\nT0VFBVNTUyQmJq77hzDB7YlY8vUQJ947gbJeyebYzV69TvNwM373+LH/4H6vXmc9YLfb3Qb9er2e\n8PBwt9XhWtbxXCre9sednJzk2LFjqNVq7r///nVbtMBoNFJTU0NnZyeRkZEUFxd7paLM2NgY5eXl\nKJVKSktLN2Swm2BjI2aoHsBqtXLmjTMUxxTjI1/ek3HPWA8Ff15A11gXZflli54frAqmsqOS/D35\n62pW4g18fHyIiooiOzublJQUrFare4/OYDCgUqnWdV6rQqEgMTGRzZs3YzQa3QYRQUFBHvmwDwgI\nICUlhdbWVrq6ukhJSVmXZvJKpZKUlBTS0tKYmJigsrKSkZER1Gq1R3NYg4KCyMzMZGBggNraWkJD\nQ4UPsGBVEYLqAUZGRhirGSM9dPkRuH/0f/+IqJAo1IFqDucfXvR8hY+C/ul+ErclrvslUE8SEBBA\nUlISubm5qNVqdDodNTU1dHV14XQ6UavV61JMAPz8/EhOTiY9Pd1t5afT6TwiKCqVivT0dDo7O2lr\nayMpKWndzt79/f1JT08nKSmJkZERqqqqmJiYIDw83GM5rAqFgszMTCwWC5cuXcLlcm14f2nBxkEI\nqgfo7u7G3mYnVr08r9f3qt5jcHKQ/NR8pk3TS5qhAkwYJgjICLgj3WLkcjkRERFkZWWRnp6Ow+Gg\ntbWV+vp6Jicn8fPzIyQkZF1+gKpUKtLS0khOTmZsbIzKykr0ej1hYWG3tCeuUChIT09nYGCAxsZG\n4uPj1/Uee2BgIJmZmcTGxjIwMEB1dTUGg4GIiAiPPAzIZDISExNRq9VUVVUxOjpKUlLSqpfEE9x5\nCEH1AK11rQSMBxAeFL7kNkazkedeeY7/9Qf/i8aBRmbmZ5YsqLPGWRwxDpKSk1Y65NsClUpFQkIC\nW7duJSwsjPHxcWpra+no6MBms6FWq9flvmJAQAAZGRnEx8czMDBAVVUVMzMzRERErNin1tfXl/T0\ndEZHR6mtrWXTpk3rejkcrkR4azQaIiMj6e7upqamBpPJRGRkpEd+b+Hh4SQnJ9Pa2kpbWxuxsbHr\n+kFDsPERguoBOpo7CJgIIDRw6fs133nnO+zevJuS3BIqOiqWJagzphmccU5S0lNWOOLbC5lMRlhY\nGJmZmWzefCUorL29ndraWvR6Pb6+vuty1hoUFERWVhbR0dH09PRQU1PD3NwcERERKxIUuVxOWloa\nMzMzVFVVER4eviH2EENDQ8nOziY0NBStVktdXR02m43IyMhbnlX6+/uTmZnJ6Ogo1dXVBAYGbqgc\nZ8HGQgiqB+jt7EUxrliyoDYPNvOv5f/Kj778I3zkPnzS8cmyBHXCOIFPqg/JqatXp3OjoFQqiYuL\nY+vWrURGRjI5OelOX7FYLAQHB6+7PUa1Wo1GoyEsLIyOjg5qa2uxWq1ERkYue19YJpO5A7gqKioI\nCgraEAIik8kIDw8nJyeHgIAAWltbaWxsxOl0EhUVdUtpMFdn75IkUVFRgdlsJiEhYd09YAk2PiJt\nxgNcvHAR8ykzWxK2LOn8/3v6//I/3vsfBCmvBKSYrCacLiebYzfz4UsfLtq+fqCeTZ/bREFBwS2N\n+07BZDLR0dFBe3s7s7OzxMXFuSOH11u+oif9cevq6qiqqmLnzp3k5eV5YbTew+l00tLSQn19PYDb\nzvBWf18DAwOcPXuW0NBQDh48eEcF9gm8jxBUD9DZ2UnDLxrYnbR7SeebbWZMFhMAEhL/++T/ZnBy\nkO8++d0l7cOeHzzP3V+7m6SkO3sPdblIkoROp0Or1dLb24ufn5/b6nC9lcjzlD9uW1sbFy9eZNu2\nbezcudNLo/UedrudxsZGmpqaUCgU7Nixg6ysrFtKGZudneXkyZOYzWYOHjy4aoXjBbc/YsnXA8jl\ncuou1ZGpXpoloMJHQYAygABlAIHKQGq6a5izzvH5nZ9ftK0kSTQYGrj7/rvXbZrIekUmkxESEkJa\nWho5OTkoFAp6enqora1laGgImUxGaGjousjvlcvlbucomUzmNojw9fVdlutSVFQU4eHhXL58GaPR\nSHJy8oZa6vTx8SEuLg6NRoPNZqO2tpbOzk5UKhVhYWEruperloXT09NUVlYKy0KBxxAzVA8gSRKv\n/s9X2WbZRlSId1NZhiaH6N/Uz2Nffcyr17mTGB0dRavV0tPTg1wuJyMjwx19ul6wWq00NDTQ3NxM\nQEAABQUFZGRkLFlQdDodJ06cID4+ngMHDqy7pe6lYjKZ3HvioaGhFBUVkZy88liC5uZmKioqSEtL\nY+/evSK1RnBLCEH1EI2NjXS+0cmu5F1evc75/vMU/F6BO5pV4DlsNpvb6nBiYoLIyEg0Gg0ZGRnr\nJv1mfn6euro62traCA0NpbCwkJSUlCW11ev1fPjhh4SHh1NaWrpu7mklzM7OUl1dTXd3N9HR0RQV\nFa242szo6CinTp1CpVJRWlpKSIhnK0UJ7hyEoHoIq9XKL77/C/YE7FlW+sxy0M/qqaaaL3/zyxt2\nhrFR0Ov1tLe309XVhcvlIi0tDY1GQ0xMzFoPDbjWHzcqKoqioqIl+eMaDAY++OADVCoVhw8f9phD\n0VoxNTVFdXU1fX19JCQkUFRUtCLDk/n5ecrLy5menubee+8V8QmCFSEE1YO0tbVR+W+VHEg+4PF9\nOKfLycmBk9z7tXtJTU31aN+CG2O32+np6UGr1TI2NkZYWJjboH+lJgyeZHp6murqanp7e4mPj6eo\nqIjo6OibtjGZTBw7dgyXy0VZWdm6N4BYCmNjY25Lx9TUVAoLC5cdaOZyubh06RItLS0UFBSwY8eO\nDbXfLFh7hKB6mN+8+Rt8Gn3Ynrjdo/1W9lcSsCuA0gdKPdqvYOlMT0+j1Wrp7OzEZrORmpqKRqNZ\nF16xer2eqqoqhoaGSElJobCwkPDwG0eMW61Wjh8/jtFopKys7KbnbiSGh4epqqpCr9eTmZlJQUHB\nsh8YOjs7+eijj4iLi6OkpGTd5S0L1i9CUD2M2WzmnV+8Q/RoNFvilpaXuhh1g3WY0kw88uQjG3rf\n63bB6XTS19dHW1sbOp2OkJAQsrKyyMrKWnNrO51OR1VVFePj42RkZFBQUHDDPUGHw0F5eTnj4+Pc\nd99962Y52xP09fVRVVWFwWAgOzub/Pz8Zf1uJicnOXnyJDKZjEOHDm0IcwzB2iME1QvMz8/z7r+/\nS8BAAPkJ+Sh8VpbeYrVbqRmqQdJIPPQ7D4kn5XWIwWCgvb2djo4OLBYLSUlJaDQaEhMT13TW2t/f\n7/YI1mg05OfnL2hi4HK5OHfuHH19fRw8ePC22juUJImuri6qq6sxm83k5uaSl5e35PeR1WrlzJkz\njIyMsHfvXjIyMrw8YsFGRwiql7DZbFw8d5Gecz1sV28nLmzpEYiSJDE0OUSDqYGcQznctecuEc6/\nznG5XAwMDKDVahkcHCQgIMA9a12rPUpJkuju7qa6upr5+Xm2bNlCXl7edXu/kiRx6dIlWltb2bdv\nH5mZS8un3ii4XC60Wi21tbU4HA7y8vLIzc1dUh63JEnU1NRQW1tLbm4ud91117rIUxasT4SgepnB\nwUHO/+Y89mE7qX6pJIQnEKBceOlpzjLH4NQgfbY+AlMD2ffAPuHisgExmUxotVra29sxmUzEx8ej\n0WhISUlZkw9jl8vlLhZgt9vddoafFZTa2lqqq6vZtWsXW7duXfVxehuHw+G2M5TL5eTn55Odnb2k\niPn+/n7Onj1LeHg4Bw8eXPOlfcH6RAjqKqHT6WiuaWagdQCH0YFapkbBlQ80GzZmpVkUagXJW5LZ\nWrBVOLfcBkiSxNDQEFqtlv7+frdDj0ajQa1Wr/p4PuuPm5+fT05OzjWC0trayscff8z27dspKipa\n9TGuBjabzW1nqFQqKSi4kte92BK9wWCgvLwci8XCoUOHxHtUcB1CUNcAk8nE5OQkdrsdAD8/PyIi\nIsRT722M2Wymo6MDrVaLwWAgNjYWjUZDWlraqucUX/XHbWxsxM/Pzy0oV2fP3d3dnD17lqysLPbs\n2bPmEczewmw2uy0dg4ODKSwsJDU19ab3a7fbuXDhAr29vezatYstWzwTeCi4PRCCKhCsMiMjI7S1\ntdHb24uPj4/boH+1I0ktFgv19fW0tLQQFBREYWEhaWlpyGQyhoaGKC8vJzExkZKSktvaSGRubo7a\n2lra29uJiIigqKiIxMTEm7ZpbGyksrKSjIwM9uzZI2IcBIAQVIFgzbBarXR2dqLVapmamiI6Opqs\nrCwyMjJWtfCByWRyC0pYWBhFRUUkJSUxPj7O8ePHiYiIoLS09LYvxmAwGNx2hjExMRQXF980lWhk\nZIRTp04REBBAaWnpbWGQIbg1hKAKBOuA8fFxtFot3d3dAKSnp6PRaBZ1PfIkn/XHLS4uxt/fn2PH\njuHv78/999+/4a0Kl8Lk5CRVVVUMDAyQlJREUVHRDVcPTCYT5eXlGAwG7r333kVntoLbGyGoAsE6\nwm63uw369Xo94eHhbqvD1cpDnpqaoqqqiv7+fhISEsjOzqaqqgqAsrIygoKCVmUca83o6CiVlZWM\njo6SlpZGUVHRgsFkTqeTS5cu0dbWRmFhIdu3b79t950FN0cI6howNzfH1NQUNpsNmUwmgpIECzI5\nOem2OnQ6nW6D/tVKpfq0P258fDzT09PIZDLKysrWXUF2bzI4OEhVVRWTk5NkZWWxY8eOBR8q2tvb\nuXjxIgkJCZSUlKzI1czpdDI1NYXRaMTlciGXywkODiY8PPy23se+XRCCukrodDqaqpsYbBvEaXRe\nSZuRKZAkCTt2DJIBRYiC5FyRNiO4FofDQW9vL1qtlpGREdRqNRqNhs2bN6/KEuzw8LB7pjYzM0NY\nWBif//znV3U5eq2RJIne3l6qq6sxGo3k5OSwffv2615/vV5PeXk5Pj4+lJaWLunBw2KxoNVq0VZq\nmRqaIkAKIJBA5Mhx4cKEiXnZPBGJEWTvzCYrK0u4pq1ThKB6meUYO5gsJgamBoSxg+CGzMzMoNVq\n6ejowGazkZycjEajISEhwevLjH19fVy+fJnLly+jVCr56le/etu5Ki2GJEl0dHRQU1OD1Wp1m2R8\nejZqsVg4c+YMo6Oj7Nu3j/T09AX7stlsXProEm0X24i2RZMWmkZEcAQ+8utnok6XkwnjBD0zPej9\n9OTuy2Xn3Ttv+0CxjYYQVC8hrAcF3sTlctHX14dWq2VoaIigoCCysrLQaDQLevZ6CkmS6Ozs5OjR\no/T39/PQQw9x5MiRO27G5HQ6aWtro66uDpfLxfbt29myZYv7fSpJElVVVdTX17Nt2zaKi4uvccka\nGhri1JunCJsMY2vsVlSKpZcCNNvMNIw0YNxk5NAXDq24sLrA8whB9QJXzfEDBwPZHr/dI+b4D37p\nwXVRf1Ow/jAajbS3t9Pe3s78/DyJiYloNBqSkpK8ZnXocrl48803OXnyJGlpaZSVlS3ZH/d2wm63\n09zcTENDA76+vm47w6uve29vL+fOnSMqKooDBw7g7+9Pc1Mzn7z+CQUhBcSGrXwFanhqmNq5WvY+\nuZfs7GxP3ZLgFhCC6mFE+TbBWiFJktugf2BgAH9/f7fV4Y1KuN0q9fX1vPPOO/j4+JCWlrYsf9zb\nCavVSkNDA83Nzfj7+1NYWEhGRgYymYyZmRlOnjyJ3W4nMSGRjuMd7I3dS5Dq1qOljWYj58fOs/fp\nvWg0Gg/cieBWEILqYd7/1fv4NvmKAuOCNcVkMtHR0UF7ezuzs7PExcWRnZ1NSkqKx8Wuq6uLU6dO\n4evri1wuR6VSLdkf93Zjfn6euro62traUKvVFBUVkZKSgt1u59e//jVn/+0sj297nIwUz5WCmzXP\ncn7yPI/+8aNERkZ6rF/B8vF5+eWXX17rQdwutLW10X2im91Juz3+QRITEkNdUx1h6WF3VMqCYGX4\n+fkRGxvLli1biI2NxWAwUFdXR2trK/Pz8wQFBXksQjg8PJxNmzbR29tLTEwMmzZtora2lq6uLvz9\n/QkNDb1jhFWhUJCUlERmZiYGg8FtEBEcHExPQw/Z9mwM4wasVithYWEeeV2UCiUKi4K6wTq25G+5\nY17r9YgQVA9htVp5/5X32RW6C38/z6cyyGVyQn1C+bjtY/J25omajIIlIZPJCAkJIS0tjZycHBQK\nBT09PdTW1jI0NIRMJiM0NPSW/57UajVxcXE0Nja6U0bm5+fdBhFBQUFrUmFnrVAqlaSkpJCWlsbE\nxATvvPUO5hoz9+TeQ3RUNAODA0xOTBIeFu6RgMOwwDAGegdwRjqJib2xXaLAuwhB9RCtra2Y681k\nRnkvjSBQGYhuVIcqSbXqRuqCjY+vry+bNm1iy5YtxMfHMzc35y5jNjc3R0BAwC2ZiwQFBZGcnExT\nUxM6nY59+/aRlZXltvLT6XSo1erb0mnpxRdfpKWlhbvuuuuan/v7+5OamkrLRy2k2FMYGRrB4XSQ\nkpKCwWBgcGiQ4KBgVP63HnAYrAimtr+WvLvyFpyljo2NUVxczNe+9rU7bo97tRB7qB5AkiRe/Z+v\nss2yjaiQqCW1+cYr3+Ci9iLztnnCg8L5nbt/hxfKXli03dDkEP2b+nnsq4/d6rAFAmw2m9vqcGJi\ngsjISDQaDRkZGSsOgDMajRw7dgyZTMaRI0cIDAxkYmKC6urqJfnjbjT0ej35+fl0d3ejVCppbW3l\n6aefpqenB5fLRXp6Oke2HOHre77OzMwMfX19GI1GIiIicLlcTE9Pk5KSQmJiIsNTw5S8XHJN//O2\nef7qC3/FHx78w0XH8mbzm/y27bfU1tYSEBDAt7/9bZ555hn38eeee47s7Gyef/55j78OAiGoHmF6\nepq3f/A2ZUllS27TrmsnOSoZlUJF12gXX/jBF/jR7/2IktySm7aTJIn3B9/nyy99+Y4wKhesHnq9\nnvb2drq6unC5XG6rw5tVXLkRZrOZDz/8EIvFQllZGaGhocC1/rjp6ekUFhZu+KXgf/iHf6Crq4t/\n/dd/Ba5UrZmamiIlJQWA57/+PK+/9jpNP2hyt5mcnKSvrw+z2Yyvry8Wi8VdbejTs8fBiUHu/m93\nc+k7l4gPj190LEf+vyNk7Mjg9V+9TktLCyUlJbz99tvs378fgE8++YRnnnmGpqamm3ckWBFiI84D\nTExMEErostpkxWVdk8ztI/chMmTxCD2ZTEaoLBS9Xr/scQoENyMqKoo9e/bw5JNPcvfdd2MwGHj/\n/fd58803aWpqwmKxLLkvf39/HnzwQUJCQnj//ffdf68xMTE89NBDHD58GIPBwJtvvsmFCxeYm5vz\n1m15nePHj7Nv3z73/9VqtbtQudPpZG5qjmj1tTaNERER7Nixwy2gDoeDnu4eqquqmZ+fd5/35qU3\nuSvzriWJqclioqG/gYO7DuLj48O2bdv4whe+wM9+9jP3OcXFxfT09DA4OOiBOxd8FmG/4wHGdGOo\n5ct/yn7xtRd589Kb2Bw2/u53/o6tSVuX1E4tqdHr9SQlJS37mgLBYigUCrKyssjKymJ6ehqtVktd\nXR2XL18mNTUVjUZDXFzcotGkCoWCw4cPc+bMGX77299SWlpKfPwVYUhMTCQhIcHtj/vGG2/c0B93\nvdPU1ERWVtZ1Pw8NDcVkMhEcEMxv/uw31x2XyWRERUURGRHJ6NgovT299PX3MTY+xs6dO4mOjuat\nirf45gPfXNI4JK4sNs6MzOB0OvHx8cHlctHc3Ow+x9fXl4yMDOrr60WpOS8glnw9QPn75QQ2BZIS\nlbLstmOjY9QN1PFffvlfeOWZV8hLzlu0TcdIB9wNu/fuXsFoBYLl43Q6GRgYoL29ndHRUYKDg8nI\nyCAzM3PRQCZJkvjkk0/o7u5m79697qXQTx/v6uqivr4eq9XKli1b2LJly4YxMYmKiuLSpUtkZFyf\nWzo+Ps4fPfVH6HQ63vsv7930IcTlcjEyMkJDQwMzMzP4RvvynfLv0PD9hiVnDnzuHz5HYFggb594\nm97eXg4dOkR0dDRtbW3uc/bs2cPXv/51nnrqqeXfrOCmiBmqB3A6nchYfu6Xw+GgoqKCickJMoMy\n+eHrP+SRzY+g8FXgq/BFoVC4v3x9fd3XGDYMM2oZZXBELNsI1obOzk4uXryIw+EgPDycmJiYRfMq\ndTod3//+98nIyFiw6IPL5WJ8fJyamhokSSIhIYG4uLh1H5GqUql45513SE5Ovu6Y2WwmMyKTj2o/\n4p3yd0gOu/6czxIZGYnVauVY2zGO7DiyrDS8f/79f+YPfvYHbN68mYyMDJ566ilaWlquOcdoNLr3\ntAWeRQiqB1AoFThcjmW38/X1paysjLm5OWp+VUOofyg7duzAYrFgtVixWC04HA4kScLhcKBUKlEq\nlQS4AkhJT6G4uJjg4GCCgoKEz69g1XG5XAwODtLZ2cnw8DByuZzMzEwyMjIIDg5esE1LSwtVVVVk\nZWWxffvCbmJ2u53W1laam5vx8fEhLy+PzZs3r9vc61/+8pekpqby2GPXR96bTCZ+NfArZKdkFOQX\nLHkVy2Kz8Ld//be88vAryxpLfHg8X//i1/nKt7+CSqXiiSeeYOfOne7jDoeDrq4u8vIWXwkTLB8h\nqB4gLCaMEevIks+fNE5yUXuRQ9sOoVQoaRhp4EzbGV7/5utoUq7143Q4HFfE1WLBbDFjtVjpMHYg\nt8upqanB6XQCV5xxgoODCQ4OJiQk5Jp/g4OD1/1TvmBjEhYWxrZt2zCZTGi1Wtrb2+ns7CQ+Ph6N\nRkNKSso1Qrh7926ioqI4f/48CoWCXbt2LTir3bt3Lzt37nT74/b29lJQUOD2x11PPPTQQ1RVVfEH\nf/AHAJw6dYrIyEi2br0SE/Hex++RtimN7KQrBvZvfPIGP/rtj6j4+4ob9nm86TihgaHszrp2wsMq\nZgAAIABJREFUW2dwYpBd397F5b+/vGCgUvNAMw5fB3K5nFdffZXy8nK0Wq37eGVlpTtFR+B5hKB6\ngKioKLQy7eIn/gcymYx/v/DvvPjai0iSRNqmNH7y1Z+wPeX6J3ZfX198g3wJDPrPklzdym6O/O4R\nIiMjmZ+fx2g0YjQamZ2dxWg0otfr6e7uxmQyudsEBAQsKLQhISEEBASsuw8pwcYiMDCQgoICduzY\nwdDQEFqtljNnzqBUKt0G/VfTYzIzM/Hz8+P06dNYLBb279+/4OxTqVRSXFxMbm4udXV1nD9/noaG\nBgoLC6/bh11Lnn76abZv347FYkGlUjEzM8M3vvENd1m99OR0vvfU99zn66Z1FGUU3bTPty69xaM7\nH73u57ppHYkRicSELpzKdKLhBK9ceIUXv/8iO3bs4MSJE9fk+x49epRnn312hXcqWAwRlOQBrFYr\nP/vOzyiLLVtxqbalYraZKZ8q52svLe524nQ6mZubcwvt1X+vfm+z2QDw8fFxC+xCM9yNEhwiWF+Y\nzWY6OjrQarUYDAZiY2PRaDSkpaXh4+PD6Ogox48fZ9OmTRw6dGhRCz6j0UhNTQ2dnZ1ERUVRVFTk\njhpea1566SWio6N54YXrzVkqPqlg+sNp8hKvLLM+8eMn+Jsv/Q0ZMcs3yP/xsR8TGRzJk/c8ueDx\n2sFaYh6MobC48Lpj4+Pj7N+/n/r6evGe9hJCUD3EifdOoKxXsjl2s1ev0zzcjN89fuw/uP+W+7Ja\nrdeJ7NV/5+bmcLlcwJWZwlWB/fTs9urXet3bEqwfRkZGaGtro7e3Fx8fHzIzM9FoNMhkMo4dO0Zw\ncDD333//kgqVT09PU11dTW9vL/Hx8RQVFREdHb1ou7ViZmaGN77/BkcSjnj1veJ0Oflg6AOe/PMn\nb7iHLfAuQlA9hE6n48T/PEFpUqnXlk9dLhcfDn7I57/1ea/btkmShMlkuk5or4rv1eRzmUxGYGDg\ndcvIV//daDmFAu9itVrp7OxEq9UyNTVFdHQ0CQkJaLVaVCoVhw8fJjAwcPGOuOLsVFVVxdDQECkp\nKRQWFhIeHu7lO1gZ7772LlE9UaRGp3rtGl2jXcxmz/LAYw947RqCmyME1YP8+uivCekMITsu2yv9\nNw41Iu2QOPzIYa/0vxwcDseCy8hX/3U4rkQ9+/r6Lrhve/V7hcK7S+SC9cv4+DharZbu7m5sNhvj\n4+NERUXx+OOPL8uOUKfTUVVVxfj4OBkZGRQUFHitoPpKGRkZ4bf//FsOxh1EqVh8Fr5cLHYL5SPl\nPPKNR9i0aZPH+xcsDSGoHsRgMPD6P77OvtB9hPh79g09NTdFhbWCJ1544pYqgqwWZrP5hoI7NzfH\n1T87f3//GwpuUFCQCJa6A7Db7XR1ddHU1MT58+eRy+V88YtfpLi4eElLwFfp7++nqqqKmZkZNBoN\n+fn5S57trgYfnf0I/Sk9dyXftfjJy+STvk+IOxzH7nuE2ctaIgTVw7Q0t1DxagUliSXXePXeCvPW\nec6OnOXe37+X9PR0j/S5lrhcLubm5m4ouFc9Y+VyOUFBQTcUXJF7e/sxPj7O0aNHaWlpITs7mx07\ndqDRaBY0glgISZLo7u6muvqKJ+6WLVvIy8tbF38rdrudX73yK2LHYtHEahZvsERadC1MJEzwxa98\nUaTHrTFCUL1AZUUlTe82sS9+HwHKW5tNzppnuTh6keIvFbNt+zYPjXB9Y7PZrhPZT38vcm9vbyRJ\n4uzZs1RUVBAVFYUkSajVajQaDZs3b17SvrzL5aK9vZ3a2lrsdjtbt25l27Zta77FYDKZePtnbxM3\nGUdOXM4t99c03MR49DiPfuXRDbFydbsjBNVLNNQ1UPFOBbmqXFKjVhaI0DnWidapZe+X9pKd7Z19\n2Y2GJEkL5t5e/V7k3t4+XL58mcbGRvLy8nC5XHR0dGCz2UhOTkaj0ZCQkLDo79DpdNLS0kJ9fT0A\n+fn55OTkrOnDlslk4oM3PsDZ4aQ4oXhZ1oLuPiwmqkaqUGgUPPDFB0Tw3zpBCKoXmZiYoPzX5dAD\nm0M3ExMas+gHgCRJ6KZ1tBvaUWqUHHzoIGFhYas04o3PSnNvP5sWJPL01gcNDQ1cvnyZ4uJitm3b\nRl9fH1qt1m2akJWVhUajWXSv1G6309jYSGNjI35+fhQUFKypnaHL5aKmqobaD2pJlaWSHpW+JGE1\n28x0jXXRJ++j6MEi8gvyxYPhOkIIqpdxOp10dHRQ/1E95n4z0bJowv3DCQsMw8/3yoe21W5lam6K\naes0Y9IY6nQ1eXvyyMzMFG8WDyNybzce7e3tXLhwga1bt7Jz505kMhlGo5H29nba29uZn58nMTER\njUZDUlLSTX83FouF+vp6WlpaCAoKorCwkLS0tDV7n01PT9NQ04D2Ey0RtgjCfMIIDwwnxD8EmUyG\ny+XCaDEyOTfJtGuaaeU0mt0a8gryhMH9OkQI6ioyNjaGTqdjtG+UicEJbOYrsyVlgJLo5Gg2JW8i\nPj6eyMjFC40LPI/IvV2/9PX1cfr0adLT09m7d69bNCVJYmBgAK1Wy8DAAP7+/m6rw5ulzphMJmpr\na2lvbycsLIyioqI1rS9ss9no7+9nTDfGWO8YhgkDLocLua8cdaSamPQYomOiSUlJWfN9YMGNEYIq\nECwRkXu7toyMjHDixAliY2M5cODAdVaFJpOJjo4O2tvbmZ2dJS4ujuzsbFJSUm64Zzo7O0t1dTXd\n3d1ER0dTXFy85IhigeCzCEEVCDzE1dzbhWa4IvfWM0xOTnLs2DHUajX333//gnvdkiSh0+nQarX0\n9vbi5+fntjq8UTzC1NQUVVVV9Pf3k5CQQFFREVFRUd6+HcFthhBUgWAVELm3nsNgMHDs2DEUCgVl\nZWU3TRexWCxug/6ZmRk2bdqERqMhPT19QTP+sbExqqqq0Ol0pKamUlhYKIICBUtGCKpAsA6w2+03\njExeLPf209/fKbm38/PzHDt2DIfDQVlZ2ZKsBkdHR9FqtfT09CCXy8nIyECj0SwYszA8PExlZSUT\nExNkZmZSUFAgDOcFiyIEVSBY50iShNlsvqHg3qm5t1arlRMnTjA7O8vhw4eXXDDCZrPR1dWFVqtl\nYmKCyMhINBoNGRkZ1y0h9/X1UVVVhcFgcDs3iaAzwY0QgrqKmEwmRkZGGBsZQ9+vx2a5Nso3Oiaa\n2NhY4XgiWBZ3cu6tw+Hg1KlTjI6Oct999y07oEiv19Pe3k5XVxcul4u0tDQ0Gg0xMf9ZwFuSJLq6\nuqiursZsNpObm0teXt6yfIYXQ5IkRkdH0ev1jPWPMTsxi8PuwFfhS0hUCDHJMURFRbFp06bb6qHo\ndkMI6iowODhIY2Ujg/WDREgRhMpDr+Sh+vxHHqrDyvT8NDPSDFOyKVILU9lauJW4uLg1HrngduCz\nubdXhfZ2yb11uVycP3+e3t5eDhw4QHJy8rL7sNvt9PT0oNVqGRsbIywsDI1GQ2Zmpnvf2uVy0dbW\nRl1dHQ6Hg7y8PHJzc28pattsNtPW2kbD+Qbkk3LCZeGEKkMJVgXjI/fB6XJitBiZtk4zzTREwra9\n28jOyRb76esQIaheZG5ujjPHzjBZP0m6Kp2UqBR8fa4PhPg0dqed3vFeemw9xBbFsv++/WKJSeA1\nbpfcW0mSqKiooKWlhb1797J58+YV9zU9PY1Wq6WzsxObzUZqaioajYa4uDhkMhkOh8NtZyiXy8nP\nzyc7O3vZ+9darZaP3vmIqPkoMsIzCA9avJbrpHGSzqlOpoKm2PeFfWRmZq70NgVeQAiql+jq6uLM\n62dIdaSSE5uz7GUap8tJs66Z4YBhSp8oXdOkc8Gdy0bLva2rq6OqqoqdO3eSl5d3S305nU76+vpo\na2tDp9MREhJCVlYWWVlZBAQEYLPZaGxspKmpCaVS6bYzXOy9brPZKP9NOfpqPUXRRYQFLj+KeGpu\nikp9JbE7Yzl45KDIbV4nCEH1Am1tbXz07x+xO3L3kp46b4Z+Vk+FoYKDXz54W5RuE9xerMfc27a2\nNi5evMi2bdvYuXOnR/o0GAy0t7fT0dGBxWIhKSkJjUZDYmKi286wtbWV4OBgCgsLSU1NXfCerFYr\n7732HqpuFTsSdtzSMrrL5aJqoAqHxsHDv/PwhtwDv90Qguphent7Kf9pOfs27SPY3zNh9tOmaS5O\nXeSBrz9AfHy8R/oUCLzNWube9vb2cubMGTIyMti7d6/HBNvlcrmtDgcHBwkICHDPWmUymdvOMCIi\ngqKiIhITE69p++5r76LQKihIKvDIeACqBqqQciUe/tLDImBpjRGC6kHMZjNH//EoO/12EhG8tBD+\npTIyPUKTXxNPPPeEeBIV3BYsNfdWoVDcMBXoZrm3Op2OEydOEB8fz4EDBzyeo2symdBqtbS3t2My\nmYiPj0ej0RAaGkptbS09PT3ExsZSVFRETEwMVZer6H63m72pez06DkmSONd3jpwv5JBfkO/RvgXL\nQwiqB/nw3Q+hFvISbm3v5kZUDVQRvDeYe0vv9Ur/AsF6wVO5tyaTiePHjxMeHk5paalXHkYlSWJo\naAitVkt/fz9KpZLNmzcTFRVFR0cHAwMDhIaGoqvS8UDSAwQoPZ8WZ7KYODN1hi++8EXh7LSGCEH1\nEHq9nvf+8T3uS7wPH7l33GrsTjsfDn/I43/2OGq12ivXEAg2AsvJvfXx8aG1tRW1Ws3BgweJjo72\nWu6t2Wx2Wx0aDAZiY2OJiIjg5PsnCWoJYkfGDpJTkr0SFd2ma8NZ4KT0wVKP9y1YGkJQPcTp46dx\nXXKxJX6LV69TP1hP6H2h7N6z26vXEQg2Mp/NvR0fH+fMmTPMz8+TmZnpFtJP595+doa7nNzbF198\nkZiYGF544QX3z0ZGRmhra6OtrY3mE80cjjmM3W7H6XSyKXoTSUlJKFWeM4ewOWwcHzvO03/+9ILm\nMGNjY5SUlFBfXy+2jbyEEFQPYLfbeeXvX6E0shSVYvEACpvDxouvvchF7UVmTDMkRyXz4iMvUpJb\nsmjbOcsc5+fO8/t/8fvrNtFeIFiPWK1Wjh8/zuzsLPv27UOhUHgk91av15Ofn093dzdKpZLW1lae\nfvppenp6cLlcJCUlUZZaxt0xd2MymZAkCZvNhkqpIj4+nsTERBR+/5n2svMvdzIxO+Fe6SpKL+Lo\nC0eXdI+V/ZWMJozyf376f+jo6CAsLIwf/vCHPPbYYwA899xzZGdn8/zzz3vypRX8Bzd3GRAsCb1e\nT5AjaEliCldyTOPD4nnnT98hPjyeU02n+PpPv87pvzpNQkTCTdsGqYLw0fswPT29ZO9SgUBwZTZ6\n5MgRysvLOXv2LPfddx9ZWVnXnbdQ7q3RaESv1y+Ye3vixAkKCwvp6Ohweya/9tprbtOFP/y9P+Sn\nv/4pf/yDP8Y4a2R0dJRx/Tizhlmampvo7eslIz2D+IR4fH19kSHjF8//gj2aPcu+R7PJzIsvvsjr\nb7zOoUOHMBgMTE9Pu48/+eSTPPPMM0JQvYQQVA+g1+sJcS1e7eIq/n7+fOvBb7n/f3DrQRIjE2ka\naFpUUAHUkpqJiQkhqALBMvH19eW+++7j3LlzHDt2jIMHD15nmuLr60tYWNgNg3s+m3v73e9+l5KS\nEpqbm6/Jvb18+TIBAQH0dfYRHhDO6OgoKpWKxKREUtNS0ev16HQ6hoeHuXTpEiHqEHJycgBY6cLh\nax+9xj2F93DfffcBXHcfxcXF9PT0MDg4eE1Kj8AzCEH1AJMjk4QqQ1fcXj+rp3esl81xS7NLC5GF\nMKmfhOsfrgUCwSLI5XJKSkq4dOkSJ0+eZN++5Vn4+fv74+/vT3R0NHDFq/vxxx+noKDgmtzb7Oxs\n5ufnCVQG8oOHf0Bvby8O+5XZrUwuQ6lUolKpSElJYXZ2luHhYU6dOoXJZOLZ//Mscrmc3KRcvv3o\nt8lJyFnS2JoGmsjxz2Hr1q1MTk5y4MABfvKTn7hF1dfXl4yMDOrr64WgegEhqB7AZrHh77P8qD1J\nkqhvqOevPvgrDm89TLAsmNnZWfxV/tfsqXwWP18/d6UagUCwfGQyGbt370alUnH27FksFgtbt25d\nUV8zMzPuWqlyudxdXGB2dpaRkRG++uhX+fHFH3P8peO4XC4sZgsWiwWL1eL+XqVSERcbx7T/NA8n\nPYy/3Z+srCxG/Ud58sdPcv5vzhPiv/gqmG5ah6nFxKlzp8jIyOD3fu/3+MY3vsGrr77qPic4OBiD\nwbCiexXcHCGoHkAmkyGx/CUap8PJD8/+EIVcwdM7nqazsxOX80rlD7mPHJVKteCX3WFHIRPenQLB\nrbJjxw5UKhUff/wxFouFoqKiZfcRFhaG0Whc8FhgYCCfv/fz/Mn3/4S24TZyEnIIDAokMCjwunMl\nScJut7N/3370ej3+Af7ExcXx5qU3udx5mUPbDi06Fn8/f3Zt20VGRgaBgYH85V/+JQcPHrzmHKPR\nSGjoylfUBDdGCKoH8A/2x2KzLKuNJEn82dE/wypZ+eWf/hKl4kr4vN1mx2KxYLaYsVqsWCwWTCYT\nk5OTWK1WkKBruguHj4Np4/SC4f6e9kYVCG5ncnJyUCqV7pnqnj17lvX+2bZtG+3t7RQUXG8nqFQq\nsUgWXC4X/n43X8WSyWT4+fnh5+dHiDrkmp8vFU28BpfMdcNarQ6Hg66urlsuHCBYGCGoHiA6LppW\nZ+uy2vzFa39B12gXb3zzDbeYAij8FCj8FASHXO8DLLkkrFYrxh4jyXcno1armZ2dZWhoaEFv1M/m\n1N2KN6pAcDuTnp6OUqmkvLwcq9VKSUnJkq0Ky8rKOH/+PE888QQAp06dIjIykq1bt2K1Wnn/wvuk\nRqeSGp0KwBufvMGPfvsjKv6+4rq+hqeG0U3pyEvJwyW5+PmZnzM9N01R+pWZ8+DEILu+vYvLf3+Z\n+PDrfb0fKHiAfzr1TwwODrJp0ya++93v8uCDD7qPV1ZWkpKSIvZPvYQQVA8QFRWFQbb0PYmhySGO\nfnQUpa+S7X+23f3z7z31PR4pfuSG7WRyGSp/Fc5gJ7t27SIoKOia4zabbcFw/5GRkWu8Uf38/BbM\nq7v6M097ngoEG4GEhASOHDnC8ePHOX78OKWlpUsqi/b000+zfft2917ozMwM3/jGNxgaGiIoKIis\njCz+7vG/c5+vm9ZRlLHw0rLJYuLFX75Iv74fpa+S3KRcXv3jVwkNDHW3TYxIJCY0ZsH2+3L20Snv\ndFfZOXz4MD/5yU/cx48ePcqzzz675NdEsDyEsYMHkCSJn//w5+yU71xRbcPlMGYYozWolSeffXJZ\n7SRJYn5+/oaltj7tjRoYGLiga8zVHDuxnCy4nZmZmeHYsWP4+/tz//33L8km8KWXXiI6Ovoap6Sr\ntLe3U/+Leu5JuQeAJ378BH/zpb8hIyZj2WP78bEfExkcyZP3LPz+P99/nqKvFJGRcX3f4+Pj7N+/\nXzgleREhqB6ipqqGofeGKEpaflDDcvi4/2OyH88mNzfXo/06nc7rxPZG3qgLLSN7yxtVIFgL5ubm\nOHbsGHBlSfezq0HLweFw8LPv/Yz9QfsJUq28n8WYNc9y0XKRr/zpV8Qq0xohBNVDzM/P82//8G8c\nCDtAoOr6CD5PMGOa4aL5Il/5s68saSnKk3zWG/XTM9y5uTlcrivRyUql8oaVP4KCgoRdomDDYLFY\n+PDDD5mfn6esrOyWqrh88tEnjB8fpzi52IMjvJaK/griH4hn5y7PFFUXLB8hqB6krqaOtrfa2J+6\n3+N9S5LEqb5TFP1ukdtNZb0gSRImk+mGgms2m4Gle6MKBOsFu93OyZMnmZiY4PDhw24zh+Vis9k4\n+s9HyXPk3XD/81YYnhqmNaCVJ559YtUftgX/iRBUDyJJEm/94i0i+iPQxGo82nfTUBPWXCsPffEh\nj/a7Gizkjfppwf2sN+pCghscHCw+KARrgtPp5OzZswwMDHDo0KEVR8gODg5y/F+OcyD+wJJ9v5eC\n2WbmzMgZjjx3hLi4OI/1K1g+QlA9zOzsLG/99C02mzeTFp3mkT7bR9oZjBjkC1/9woJlmTY6V71R\nFxLcT3uj+vv73zAyWeTeCryJJEl8/PHHaLVaSkpKSE9PX1E/lRWVtPy6hf1J+69Jl1spZpuZ80Pn\nyXs0j4Ki6/NgBauLEFQvMD09zXv//3vEzcSxJW7Lij/oXS4XjcONTMRM8LmnP+e2N7uT+LQ36kKl\ntkTurWA1qa6upq6ujt27d7Nly8pqH1/6+BKtv2ll16Zd7nSYlTA1N8Vl/WW2PryV4ru8tzcrWDpC\nUL3E3Nwcpz84zUz9DEXRRct+40zNTVGprySmOIaS+0vE/uINuJp7e6MZrsi9FXia5uZmLl26xI4d\nOxZ0R1oKbW1tfPT2R6TYU8iJzVlWsJ7T5aRV18qA/wD7Ht3H5s1LK6oh8D5CUL2IJEm0tbXx8fsf\nE2wMJj04ndjQ2Bu+eZwuJ8NTw/SYejCHmtn7yN5lVcEQXIvIvRV4i66uLs6dO0d2dja7d+9e0d/H\n3Nwc50+cZ6h2iGSfZNIj02+aITBnmaNb302/q5/kwmT2lu4lMNA7GQWClSEEdRVwOp10d3fTcLGB\n8d5xQgghmGD8JD8kJOwyOwYMmGQmYjJjyNudR2pqqkgx8TJOp5O5uTlmZ2dF7q1g2QwODlJeXk5y\ncjIlJSUrfr9OT0/T0tBCW0Ub0pyEWqYmUApELslxypzMy+aZkWaQB8nJ2Z1Dbl4uarXaw3cj8ARC\nUFcZu93O5OQkU1NT2O124MpyZEREBBEREWLpcR0hcm8FizE2Nsbx48eJiori0KFDtxyJbjQamZiY\nwGg04nK5kMvlBAcHExUVdUvmEoLVQQiqQLACRO6t4CrT09McO3aMwMBA7r//fhEAdwcjBFUg8AIi\n9/bOwmg0cuzYMWQyGUeOHBF7m3coQlAFgjVA5N7efpjNZj788EMsFgtlZWWiiPcdiBBUgWCdsdzc\n2xvNcMXS4+pjt9s5ceIEU1NTHD58mKioqLUekmAVEYK6BrhcLmZmZq4JSlKr1SJ4RbAkRO7t+sbp\ndHLmzBmGhoYoLS0lPv76QuA3w2w2Mzc3h9PpxMfHh6CgILHXvkEQgrpKGAwGWptbGWgdYHJoEpVL\nhYIr+2M2yYbV10pUYhRJOUls2bpFRPQJVsRycm8DAgIICQkRubdeQJIkPvroIzo6Orj33ntJS7ux\nDanL5aKvrw9tnZbR3lGsM1YCZYHIZXJckguTZEIVpiImLQbNdg3Jycni4XudIgTVy0xOTvLxqY/R\nNelIkiURr44nLDAMXx/fa86zO+1MzU0xZBhiWDZMUn4Su+/dLfZhBB7l07m3C81wRe6tZ6msrKSh\noYE9e/aQnZ19zTGXy0VjfSM1p2tQzahIViUTrY5esGaq0WxEP6unz9KHLcxGwYECtm3fJh561hlC\nUL2Ey+WipqqG2g9q0fhqSItOw0e+tCU2h9NB51gnXXSx8+Gd5G3PE28cwapwq7m3V7/EDOo/aWpq\n4tKlSxQWFrJjxw4ApqamOPXuKZydTvKi85ZlTTptmqZ+vB4/jR8HHzp4S3VaBZ5FCKoXsNvt/Pat\n32JpsFCcUIy/38r2P+Ysc1SOVBJWFMb9D98v9rwEa8rNcm+NRiPz8/OAyL1diM7OTs6fP09OTg6x\nsbGc/MVJsn2yydiUsfI+xzrRSloOf/kwSUlJHhytYKUIQfUwdrud919/H992XwoTC295Zulyuajo\nr0C5Q0nZ58uEqArWLSL39ub09/fzxhtvMN00zRN5TxAREnHLfU7MTnBp9hJlXytbcZ1WgecQguph\nyj8ox/ixkZ3JOz22TCtJEhf7LhJ/Xzx79u/xSJ8CwWpzp+fezszM8Mp3XiFsMIyE6ARysnOQ+9z6\n0vjE7ASXzJd4/IXHCQkJ8cBIBStFCKoH6evr49S/nqI0qfS6oKNbxWq3Uq4r58HnHyQ2NtajfQsE\na81Cubef/n6j595KksRb//YWUf1RxAfH09zUjFKlJHdLLr6KW/+saNO1Mbt5lkcef2TDPnDcDghB\n9RAOh4Nf/OMvKJAKiFZHe+Uaw1PDtAW18bvP/a540wjuKDZ67m1zczP1R+spSSlBJpNhsVhoampC\nLpeTm5uLUqm8pf4lSeJM3xkKfreAnJwcD41asFw8O426g+nq6iJ4OpjoZO+IKUB8eDzt/e309fWR\nmprqtesIBOuNT1dk+iw3yr0dHx+nu7t7VXJvX3zxRWJiYnjhhRcWHF/t6VryI/Pd/atUKrbnbaep\nuYmGhga2bt16S8FaMpmM3PBcas/V3lBQx8bGKCkpob6+XqQ9eQkxQ/UQb/z0DdKn0okLi1v03J+f\n/Tm/+uRXtOvaebjoYX705R8t+Tq9471MpE/w8OMP38pwBYI7Bm/n3ur1evLz8+nu7kapVGK323n8\n8cepqalxByLN189zKPnQdW0dDgetLa3Mm+fJzc3FKln5b2/8Ny53XmbeOk9WXBZ//dhfk5+av6R7\nfbfjXU73nubChQsA3HffffzLv/wLwcHBADz33HNkZ2fz/PPPr+SlFCyCmKF6gNnZWQz9BmITl7a3\nGRMaw58c+RPOtZ7DYrMs61pJkUk0tDZgtVpveZlIILgT8PHxQa1W37Ao90K5t7OzswwNDV2Xe3tV\nYD89w/35z39OWVnZNe/HvXv38s1vfpPHHnuM4f5h8hR5C17b19eX3K25aLVaGhsbCYkJIT8ln//+\nxf9OZHAkr118jaf/+Wku//1lApQBi97rmYtnGHQO0tvbi8vl4tFHH+Xll1/mBz/4AQBPPvkkzzzz\njBBULyEE1QPo9XrCZGFLXi46nH8YgIb+BkZsI8u6lo/cBzVqJiYmlu0RKhAIrkepVBIVFbWgkf2N\ncm9HRkbo6Ohgfn6eo0ePsmfPHl577TW30O7Zs4eQkBBkMhnjA+NEpdzYJF8ul5OdnU0e0mC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"text": [ "" ] } ], "prompt_number": 21 }, { "cell_type": "code", "collapsed": false, "input": [ "A = np.array([[1, 2], [2, 0]])\n", "min(A.sum(axis=0))\n" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 22, "text": [ "2" ] } ], "prompt_number": 22 }, { "cell_type": "code", "collapsed": false, "input": [ "def create_balanced_markov_matrix(edges):\n", " a_matrix = np.zeros([len(edges), len(edges)]) * 10\n", " for i, edge_1 in enumerate(edges):\n", " for j, edge_2 in enumerate(edges):\n", " a_matrix[i][j] = len(set(edge_1) & set(edge_2))\n", " a_matrix[j][i] = a_matrix[i][j]\n", " sums = a_matrix.sum(axis=0)\n", " min_sum = min(sums)\n", " for i, col_sum in enumerate(sums):\n", " a_matrix[i][i] -= col_sum - min_sum\n", " a_matrix *= 1.0 /min_sum\n", " return a_matrix\n", "\n", "def create_markov_matrix(edges):\n", " a_matrix = np.eye(len(edges))\n", " \n", " for i, edge_1 in enumerate(edges):\n", " for j, edge_2 in enumerate(edges):\n", " a_matrix[i][j] = len(set(edge_1) & set(edge_2))\n", " a_matrix[j][i] = a_matrix[i][j]\n", " \n", " for i, edge_1 in enumerate(edges):\n", " a_matrix[i] = a_matrix[i] / sum(a_matrix[i]) * 1.1\n", " \n", " return a_matrix" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 23 }, { "cell_type": "code", "collapsed": false, "input": [ "\n", "create_markov_matrix(g[1])" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 24, "text": [ "array([[ 0.275 , 0.18333333, 0.09166667, 0.09166667, 0.18333333,\n", " 0.18333333, 0. , 0.09166667],\n", " [ 0.16923077, 0.25384615, 0.16923077, 0.08461538, 0.08461538,\n", " 0.16923077, 0.08461538, 0.08461538],\n", " [ 0.07857143, 0.15714286, 0.23571429, 0.07857143, 0.15714286,\n", " 0.07857143, 0.15714286, 0.15714286],\n", " [ 0.09166667, 0.09166667, 0.09166667, 0.275 , 0.09166667,\n", " 0.18333333, 0.18333333, 0.09166667],\n", " [ 0.16923077, 0.08461538, 0.16923077, 0.08461538, 0.25384615,\n", " 0.08461538, 0.08461538, 0.16923077],\n", " [ 0.18333333, 0.18333333, 0.09166667, 0.18333333, 0.09166667,\n", " 0.275 , 0.09166667, 0. ],\n", " [ 0. , 0.09166667, 0.18333333, 0.18333333, 0.09166667,\n", " 0.09166667, 0.275 , 0.18333333],\n", " [ 0.09166667, 0.09166667, 0.18333333, 0.09166667, 0.18333333,\n", " 0. , 0.18333333, 0.275 ]])" ] } ], "prompt_number": 24 }, { "cell_type": "code", "collapsed": false, "input": [ "import numpy as np\n", "from numpy.random import random_sample\n", "\n", "def weighted_values(values, probabilities, size):\n", " bins = np.add.accumulate(probabilities)\n", " bins[-1] = max(1, bins[-1])\n", " index = np.digitize(random_sample(size), bins)\n", " return values[index]\n", "\n", "def step_diffusion(current_state, markov_matrix):\n", " values_size = len(current_state)\n", " values = range(values_size)\n", " probs = markov_matrix.dot(current_state)\n", " next_state = np.zeros(values_size)\n", " next_state[weighted_values(values, probs, 1)] = 1\n", " \n", " return next_state" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 25 }, { "cell_type": "code", "collapsed": false, "input": [], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 25 }, { "cell_type": "code", "collapsed": false, "input": [ "markov_matrix = create_markov_matrix(g[1])\n", "current_state = np.zeros(markov_matrix.shape[0])\n", "current_state[0] = 1\n", "print(current_state)\n", "print(markov_matrix)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "[ 1. 0. 0. 0. 0. 0. 0. 0.]\n", "[[ 0.275 0.18333333 0.09166667 0.09166667 0.18333333 0.18333333\n", " 0. 0.09166667]\n", " [ 0.16923077 0.25384615 0.16923077 0.08461538 0.08461538 0.16923077\n", " 0.08461538 0.08461538]\n", " [ 0.07857143 0.15714286 0.23571429 0.07857143 0.15714286 0.07857143\n", " 0.15714286 0.15714286]\n", " [ 0.09166667 0.09166667 0.09166667 0.275 0.09166667 0.18333333\n", " 0.18333333 0.09166667]\n", " [ 0.16923077 0.08461538 0.16923077 0.08461538 0.25384615 0.08461538\n", " 0.08461538 0.16923077]\n", " [ 0.18333333 0.18333333 0.09166667 0.18333333 0.09166667 0.275\n", " 0.09166667 0. ]\n", " [ 0. 0.09166667 0.18333333 0.18333333 0.09166667 0.09166667\n", " 0.275 0.18333333]\n", " [ 0.09166667 0.09166667 0.18333333 0.09166667 0.18333333 0.\n", " 0.18333333 0.275 ]]\n" ] } ], "prompt_number": 26 }, { "cell_type": "code", "collapsed": false, "input": [ "current_state[0] = 1\n", "\n", "from collections import Counter\n", "\n", "c = Counter()\n", "states = []\n", "t_max = 30\n", "for _ in range(t_max):\n", " current_state = step_diffusion(current_state, markov_matrix)\n", " visited_hyperedge = current_state.tolist().index(1)\n", " c[visited_hyperedge] += 1\n", " states.append(visited_hyperedge)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 27 }, { "cell_type": "code", "collapsed": false, "input": [ "c.most_common()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 28, "text": [ "[(3, 7), (4, 6), (5, 5), (0, 4), (6, 4), (7, 2), (1, 1), (2, 1)]" ] } ], "prompt_number": 28 }, { "cell_type": "code", "collapsed": false, "input": [ "y, x = c.keys(), c.values()\n", "print(list(x), y)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "[4, 1, 1, 7, 6, 5, 4, 2] dict_keys([0, 1, 2, 3, 4, 5, 6, 7])\n" ] } ], "prompt_number": 29 }, { "cell_type": "code", "collapsed": false, "input": [ "from matplotlib import pyplot as plt\n" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 30 }, { "cell_type": "code", "collapsed": false, "input": [ "plt.hist(states, normed=True)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 31, "text": [ "(array([ 0.19047619, 0.04761905, 0.04761905, 0. , 0.33333333,\n", " 0.28571429, 0. , 0.23809524, 0.19047619, 0.0952381 ]),\n", " array([ 0. , 0.7, 1.4, 2.1, 2.8, 3.5, 4.2, 4.9, 5.6, 6.3, 7. ]),\n", " )" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 31 }, { "cell_type": "code", "collapsed": false, "input": [ "g[1][3]" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 32, "text": [ "(1, 3, 6)" ] } ], "prompt_number": 32 }, { "cell_type": "code", "collapsed": false, "input": [ "\n", "n = 20\n", "k = 3\n", "fraction = 1.0 / 2\n", "g = generate_hypergraph(n=n, k=k, number_of_edges=int(n * fraction))\n", "G = convert_to_nx_biparty_graph(*g)\n", "draw_bipartite_graph(G, *hipergraph_to_bipartite_parts(G))\n", "hyper_G = convert_to_custom_hyper_G(*g)\n", "\n", "print(\"Hyperg\")\n", "print(hyper_G)\n", "p=nx.degree(hyper_G)\n", "\n", "plt.figure(figsize=(6, 6))\n", "\n", "\n", "markov_matrix = create_markov_matrix(g[1])" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Hyperg\n", "\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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381/q/wu79btZWVlBLpdjs9rQ6rUMrQzhOeDB5Xbx4vSLfPSPPpr13Vzm5+fp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lWyVYTLwzEYDOj1eiQSCUEhQdxcevMlCbVypJKHTjzER3s+wtvTmx5DD82ezdxQfAMBvgFoDVpq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\n", "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "text": [ "" ] } ], "prompt_number": 33 }, { "cell_type": "code", "collapsed": false, "input": [ "print markov_matrix\n", "print g[1]" ], "language": "python", "metadata": {}, "outputs": [ { "ename": "SyntaxError", "evalue": "invalid syntax (, line 1)", "output_type": "pyerr", "traceback": [ "\u001b[1;36m File \u001b[1;32m\"\"\u001b[1;36m, line \u001b[1;32m1\u001b[0m\n\u001b[1;33m print markov_matrix\u001b[0m\n\u001b[1;37m ^\u001b[0m\n\u001b[1;31mSyntaxError\u001b[0m\u001b[1;31m:\u001b[0m invalid syntax\n" ] } ], "prompt_number": 34 }, { "cell_type": "code", "collapsed": false, "input": [ "from collections import Counter\n", "current_state = np.zeros(markov_matrix.shape[0])\n", "t_max = 100000\n", "current_state[2] = 1\n", "def simulate(current_state, markov_matrix, t_max):\n", " c = Counter()\n", " states = []\n", " for _ in xrange(t_max):\n", " current_state = step_diffusion(current_state, markov_matrix)\n", " visited_hyperedge = current_state.tolist().index(1)\n", " c[visited_hyperedge] += 1\n", " states.append(visited_hyperedge)\n", " return c.most_common(), states\n", "\n", "most_common, states = simulate(current_state, markov_matrix, t_max)\n", "\n", "print markov_matrix\n", "print most_common\n" ], "language": "python", "metadata": {}, "outputs": [ { "ename": "SyntaxError", "evalue": "invalid syntax (, line 17)", "output_type": "pyerr", "traceback": [ "\u001b[1;36m File \u001b[1;32m\"\"\u001b[1;36m, line \u001b[1;32m17\u001b[0m\n\u001b[1;33m print markov_matrix\u001b[0m\n\u001b[1;37m ^\u001b[0m\n\u001b[1;31mSyntaxError\u001b[0m\u001b[1;31m:\u001b[0m invalid syntax\n" ] } ], "prompt_number": 35 }, { "cell_type": "code", "collapsed": false, "input": [ "plt.hist(states, alpha=.5);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 36 }, { "cell_type": "code", "collapsed": false, "input": [ "def count_nodes(nodes, edges, occurences):\n", " c = Counter()\n", " for index, count in occurences:\n", " for edge in edges[index]:\n", " c[edge] += count\n", " for node in nodes:\n", " if node not in c:\n", " c[node] = 0\n", " return c\n", "\n" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 37 }, { "cell_type": "code", "collapsed": false, "input": [ "most_common_nodes = count_nodes(g[0], g[1], most_common)\n", "\n", "plt.plot(\n", " most_common_nodes.keys(),\n", " most_common_nodes.values(),\n", " 'm:o',\n", " alpha=0.7,\n", " linewidth=5\n", ")\n" ], "language": "python", "metadata": {}, "outputs": [ { "ename": "NameError", "evalue": "name 'most_common' is not defined", "output_type": "pyerr", "traceback": [ "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m\n\u001b[1;31mNameError\u001b[0m Traceback (most recent call last)", "\u001b[1;32m\u001b[0m in \u001b[0;36m\u001b[1;34m()\u001b[0m\n\u001b[1;32m----> 1\u001b[1;33m \u001b[0mmost_common_nodes\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mcount_nodes\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mg\u001b[0m\u001b[1;33m[\u001b[0m\u001b[1;36m0\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mg\u001b[0m\u001b[1;33m[\u001b[0m\u001b[1;36m1\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mmost_common\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 2\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 3\u001b[0m plt.plot(\n\u001b[0;32m 4\u001b[0m \u001b[0mmost_common_nodes\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mkeys\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 5\u001b[0m \u001b[0mmost_common_nodes\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mvalues\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n", "\u001b[1;31mNameError\u001b[0m: name 'most_common' is not defined" ] } ], "prompt_number": 39 }, { "cell_type": "code", "collapsed": false, "input": [], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 38 }, { "cell_type": "code", "collapsed": false, "input": [], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 34 } ], "metadata": {} } ] }